Subgroups — AGL(1,ℤ/8)×#509 #72342612

Order 2048.

At least 9737 conjugacy classes of subgroups; only the 3954 normal subgroups are shown.

The subgroup lattice has 1827 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72342611	C₂	1	1	yes	maximal, characteristic, complemented
2	#72342610	C₂	1	1	yes	maximal, characteristic, complemented
3	M₁₆×#509	C₂	1	1	yes	maximal, characteristic, complemented
4	#72342608	C₂	1	1	yes	maximal, characteristic, complemented
5	#72342607	C₂	1	1	yes	maximal, characteristic, complemented
6	#72342606	C₂	1	1	yes	maximal, characteristic, complemented
7	#72342605	C₂	1	1	yes	maximal, characteristic, complemented
8	#72342604	C₂	1	4	yes	maximal, complemented
9	#72342603	C₂	1	4	yes	maximal, complemented
10	#72342602	C₂	1	4	yes	maximal, complemented
11	#72342601	C₂	1	4	yes	maximal, complemented
12	#72342600	C₂	1	2	yes	maximal, complemented
13	#72342599	C₂	1	2	yes	maximal, complemented
14	D₁₆×AGL(1,ℤ/8)	C₂	1	2	yes	maximal, complemented
15	SD₃₂×AGL(1,ℤ/8)	C₂	1	2	yes	maximal, complemented
16	#72342596	C₂	1	2	yes	maximal, complemented
17	#72342595	C₂	1	2	yes	maximal, complemented
18	#72342594	C₂	1	2	yes	maximal, complemented
19	#72342593	C₂	1	2	yes	maximal, complemented
20	#72342556	C₂	1	1	yes	maximal, characteristic, complemented
21	#72342546	C₂	1	1	yes	maximal, characteristic, complemented
22	SD₁₆×#509	C₂	1	2	yes	maximal, complemented
23	#72342481	C₂	1	2	yes	maximal, complemented
24	#72342468	C₂	1	2	yes	maximal, complemented
25	#72342446	C₂	1	2	yes	maximal, complemented
26	#72342437	C₂	1	2	yes	maximal, complemented
27	#72342416	C₂	1	2	yes	maximal, complemented
28	#41×#509	C₂	1	1	yes	maximal, characteristic, complemented
29	#135×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
30	M₃₂×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
31	#72309570	C₂	1	2	yes	maximal, complemented
32	C₂×D₄×#509	C₂	1	1	yes	maximal, characteristic, complemented
33	C₂×D₈×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
34	#72264986	C₂	1	1	yes	maximal, characteristic, complemented
35	D₈×#509	C₂	1	2	yes	maximal, complemented
36	#41×#135	C₂²	1	1	yes	characteristic, complemented
37	C₂×D₈×#41	C₂²	1	1	yes	characteristic, complemented
38	C₂×D₄×#135	C₂²	1	1	yes	characteristic, complemented
39	C₂²×D₄×D₈	C₂²	1	1	yes	characteristic, complemented
40	#7624075	C₂²	1	2	yes	complemented
41	#7624074	C₂²	1	2	yes	complemented
42	#7624013	C₂²	1	2	yes	complemented
43	#7624012	C₂²	1	2	yes	complemented
44	#7623998	C₂²	1	2	yes	complemented
45	#7623996	C₂²	1	2	yes	complemented
46	#41×SD₃₂	C₂²	1	2	yes	complemented
47	#41×D₁₆	C₂²	1	2	yes	complemented
48	#7623961	C₂²	1	1	yes	characteristic, complemented
49	Q₈×#509	C₂²	1	1	yes	characteristic, complemented
50	#7623880	C₂²	1	1	yes	characteristic, complemented
51	#7623876	C₂²	1	1	yes	characteristic, complemented
52	#7623811	C₂²	1	1	yes	characteristic, complemented
53	#7623720	C₂²	1	1	yes	characteristic, complemented
54	#7623714	C₂²	1	1	yes	characteristic, complemented
55	D₄×#509	C₂²	1	2	yes	—
56	D₄×#509	C₂²	1	2	yes	complemented
57	D₄×#509	C₂²	1	2	yes	complemented
58	D₄×#509	C₂²	1	2	yes	complemented
59	D₄×#509	C₂²	1	4	yes	complemented
60	D₄×#509	C₂²	1	4	yes	complemented
61	D₄×#509	C₂²	1	1	yes	characteristic, complemented
62	C₂×D₄×SD₃₂	C₂²	1	2	yes	complemented
63	C₂×D₄×D₁₆	C₂²	1	2	yes	complemented
64	C₂×#33840	C₂²	1	2	yes	complemented
65	C₂×#33838	C₂²	1	2	yes	complemented
66	#7623358	C₂²	1	1	yes	characteristic, complemented
67	#7623353	C₂²	1	1	yes	characteristic, complemented
68	#7623255	C₂²	1	1	yes	characteristic, complemented
69	C₂×#33717	C₂²	1	1	yes	characteristic, complemented
70	#7623099	C₂²	1	1	yes	characteristic, complemented
71	#7623096	C₂²	1	1	yes	characteristic, complemented
72	C₂×#33582	C₂²	1	1	yes	characteristic, complemented
73	C₂×#33580	C₂²	1	1	yes	characteristic, complemented
74	#41×M₃₂	C₂²	1	1	yes	characteristic, complemented
75	C₂×C₄×#509	C₂²	1	1	yes	characteristic
76	C₂×D₄×M₃₂	C₂²	1	1	yes	characteristic, complemented
77	#6358832	C₂²	1	2	yes	complemented
78	#6358830	C₂²	1	2	yes	complemented
79	#6358820	C₂²	1	2	yes	complemented
80	#6358818	C₂²	1	2	yes	complemented
81	#6358796	C₂²	1	1	yes	characteristic, complemented
82	#6358790	C₂²	1	1	yes	characteristic, complemented
83	#6358777	C₂²	1	1	yes	characteristic, complemented
84	#6358770	C₂²	1	1	yes	characteristic, complemented
85	Q₁₆×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
86	#6358743	C₂²	1	1	yes	characteristic, complemented
87	#6358736	C₂²	1	1	yes	characteristic, complemented
88	D₈×AGL(1,ℤ/8)	C₂²	1	2	yes	—
89	D₈×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
90	D₈×AGL(1,ℤ/8)	C₂²	1	4	yes	complemented
91	D₈×AGL(1,ℤ/8)	C₂²	1	4	yes	complemented
92	D₈×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
93	D₈×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
94	D₈×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
95	SD₁₆×#135	C₂²	1	2	yes	complemented
96	D₈×#135	C₂²	1	2	yes	complemented
97	C₂×D₈×SD₁₆	C₂²	1	2	yes	complemented
98	C₂×D₈²	C₂²	1	2	yes	complemented
99	#6358344	C₂²	1	2	yes	complemented
100	#6358342	C₂²	1	2	yes	complemented
101	C₂×#19885	C₂²	1	2	yes	complemented
102	C₂×#19883	C₂²	1	2	yes	complemented
103	#6357137	C₂²	1	1	yes	characteristic, complemented
104	C₂×#19629	C₂²	1	1	yes	characteristic, complemented
105	#6353901	C₂²	1	1	yes	characteristic, complemented
106	C₂×#19267	C₂²	1	1	yes	characteristic, complemented
107	#6353889	C₂²	1	1	yes	characteristic, complemented
108	C₂×#19255	C₂²	1	1	yes	characteristic, complemented
109	M₁₆×#135	C₂²	1	1	yes	characteristic, complemented
110	C₂×M₁₆×D₈	C₂²	1	1	yes	characteristic, complemented
111	C₂×C₈×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
112	#492605	C₂²	1	4	yes	complemented
113	#492604	C₂²	1	4	yes	complemented
114	#492595	C₂²	1	4	yes	complemented
115	#492594	C₂²	1	4	yes	complemented
116	#492588	C₂²	1	4	yes	complemented
117	#492586	C₂²	1	4	yes	complemented
118	SD₁₆×SD₃₂	C₂²	1	4	yes	complemented
119	SD₁₆×D₁₆	C₂²	1	4	yes	complemented
120	D₈×SD₃₂	C₂²	1	4	yes	complemented
121	D₈×D₁₆	C₂²	1	4	yes	complemented
122	#492514	C₂²	1	4	yes	complemented
123	#492512	C₂²	1	4	yes	complemented
124	#492505	C₂²	1	4	yes	complemented
125	#492505	C₂²	1	4	yes	complemented
126	#492504	C₂²	1	4	yes	complemented
127	#492504	C₂²	1	4	yes	complemented
128	#492327	C₂²	1	4	yes	complemented
129	#492326	C₂²	1	4	yes	complemented
130	#492317	C₂²	1	4	yes	complemented
131	#492316	C₂²	1	4	yes	complemented
132	#492310	C₂²	1	4	yes	complemented
133	#492308	C₂²	1	4	yes	complemented
134	#492297	C₂²	1	4	yes	complemented
135	#492296	C₂²	1	4	yes	complemented
136	#492255	C₂²	1	4	yes	complemented
137	#492254	C₂²	1	4	yes	complemented
138	#492245	C₂²	1	4	yes	complemented
139	#492244	C₂²	1	4	yes	complemented
140	#492238	C₂²	1	4	yes	complemented
141	#492236	C₂²	1	4	yes	complemented
142	#492225	C₂²	1	4	yes	complemented
143	#492224	C₂²	1	4	yes	complemented
144	#491833	C₂²	1	4	yes	complemented
145	#491830	C₂²	1	4	yes	complemented
146	#491828	C₂²	1	4	yes	complemented
147	#491825	C₂²	1	4	yes	complemented
148	#491816	C₂²	1	4	yes	complemented
149	#491814	C₂²	1	4	yes	complemented
150	#491812	C₂²	1	4	yes	complemented
151	#491808	C₂²	1	4	yes	complemented
152	#491801	C₂²	1	4	yes	complemented
153	#491794	C₂²	1	4	yes	complemented
154	#491793	C₂²	1	4	yes	complemented
155	#491792	C₂²	1	4	yes	complemented
156	#491784	C₂²	1	4	yes	complemented
157	#491778	C₂²	1	4	yes	complemented
158	#491776	C₂²	1	4	yes	complemented
159	#491776	C₂²	1	4	yes	complemented
160	#491769	C₂²	1	4	yes	complemented
161	#491766	C₂²	1	4	yes	complemented
162	#491764	C₂²	1	4	yes	complemented
163	#491761	C₂²	1	4	yes	complemented
164	#491752	C₂²	1	4	yes	complemented
165	#491750	C₂²	1	4	yes	complemented
166	#491748	C₂²	1	4	yes	complemented
167	#491744	C₂²	1	4	yes	complemented
168	#491737	C₂²	1	4	yes	complemented
169	#491730	C₂²	1	4	yes	complemented
170	#491729	C₂²	1	4	yes	complemented
171	#491728	C₂²	1	4	yes	complemented
172	#491720	C₂²	1	4	yes	complemented
173	#491714	C₂²	1	4	yes	complemented
174	#491712	C₂²	1	4	yes	complemented
175	#491712	C₂²	1	4	yes	complemented
176	#491576	C₂²	1	4	yes	complemented
177	#491572	C₂²	1	4	yes	complemented
178	#491567	C₂²	1	2	yes	complemented
179	#491565	C₂²	1	2	yes	complemented
180	#491560	C₂²	1	2	yes	complemented
181	#491556	C₂²	1	2	yes	complemented
182	#491519	C₂²	1	2	yes	complemented
183	#491517	C₂²	1	2	yes	complemented
184	#491469	C₂²	1	2	yes	complemented
185	#491437	C₂²	1	2	yes	complemented
186	#491165	C₂²	1	4	yes	complemented
187	#491163	C₂²	1	4	yes	complemented
188	#491161	C₂²	1	2	yes	complemented
189	#491159	C₂²	1	2	yes	complemented
190	#491157	C₂²	1	2	yes	complemented
191	#491155	C₂²	1	2	yes	complemented
192	#491111	C₂²	1	4	yes	complemented
193	#491109	C₂²	1	4	yes	complemented
194	#491101	C₂²	1	2	yes	complemented
195	#491097	C₂²	1	2	yes	complemented
196	#491089	C₂²	1	2	yes	complemented
197	#491085	C₂²	1	2	yes	complemented
198	#490797	C₂²	1	4	yes	complemented
199	#490793	C₂²	1	4	yes	complemented
200	#490790	C₂²	1	4	yes	complemented
201	#490789	C₂²	1	4	yes	complemented
202	#490781	C₂²	1	2	yes	complemented
203	#490781	C₂²	1	2	yes	complemented
204	#490780	C₂²	1	2	yes	complemented
205	#490779	C₂²	1	2	yes	complemented
206	#490778	C₂²	1	2	yes	complemented
207	#490777	C₂²	1	2	yes	complemented
208	#490777	C₂²	1	2	yes	complemented
209	#490777	C₂²	1	2	yes	complemented
210	#490720	C₂²	1	2	yes	complemented
211	#490718	C₂²	1	2	yes	complemented
212	#490695	C₂²	1	2	yes	complemented
213	#490693	C₂²	1	2	yes	complemented
214	#490594	C₂²	1	2	yes	complemented
215	#490594	C₂²	1	2	yes	complemented
216	#490574	C₂²	1	2	yes	complemented
217	#490572	C₂²	1	2	yes	complemented
218	#490543	C₂²	1	2	yes	complemented
219	#490472	C₂²	1	2	yes	complemented
220	#490472	C₂²	1	2	yes	complemented
221	#490472	C₂²	1	2	yes	complemented
222	#490455	C₂²	1	2	yes	complemented
223	#490453	C₂²	1	2	yes	complemented
224	#490430	C₂²	1	2	yes	complemented
225	#490428	C₂²	1	2	yes	complemented
226	#489963	C₂²	1	4	yes	complemented
227	#489963	C₂²	1	4	yes	complemented
228	#489961	C₂²	1	2	yes	complemented
229	#489959	C₂²	1	2	yes	complemented
230	#489957	C₂²	1	2	yes	complemented
231	#489955	C₂²	1	2	yes	complemented
232	#489937	C₂²	1	2	yes	complemented
233	#489935	C₂²	1	2	yes	complemented
234	#489933	C₂²	1	2	yes	complemented
235	#489932	C₂²	1	2	yes	complemented
236	#489932	C₂²	1	2	yes	complemented
237	#489931	C₂²	1	2	yes	complemented
238	#489931	C₂²	1	2	yes	complemented
239	#489931	C₂²	1	2	yes	complemented
240	#489706	C₂²	1	4	yes	complemented
241	#489705	C₂²	1	4	yes	complemented
242	#489705	C₂²	1	4	yes	complemented
243	#489701	C₂²	1	4	yes	complemented
244	#489696	C₂²	1	2	yes	complemented
245	#489696	C₂²	1	2	yes	complemented
246	#489694	C₂²	1	2	yes	complemented
247	#489693	C₂²	1	2	yes	complemented
248	#489692	C₂²	1	2	yes	complemented
249	#489691	C₂²	1	2	yes	complemented
250	#489691	C₂²	1	2	yes	complemented
251	#489691	C₂²	1	2	yes	complemented
252	#489174	C₂²	1	2	yes	complemented
253	#489170	C₂²	1	2	yes	complemented
254	#489039	C₂²	1	2	yes	complemented
255	#489036	C₂²	1	2	yes	complemented
256	#488994	C₂²	1	2	yes	complemented
257	#488990	C₂²	1	2	yes	complemented
258	#488949	C₂²	1	2	yes	complemented
259	#488949	C₂²	1	2	yes	complemented
260	#488945	C₂²	1	2	yes	complemented
261	#488945	C₂²	1	2	yes	complemented
262	#488893	C₂²	1	2	yes	complemented
263	#488893	C₂²	1	2	yes	complemented
264	#488893	C₂²	1	2	yes	complemented
265	#488889	C₂²	1	2	yes	complemented
266	#488889	C₂²	1	2	yes	complemented
267	#488889	C₂²	1	2	yes	complemented
268	#484077	C₂²	1	4	yes	complemented
269	#484075	C₂²	1	4	yes	complemented
270	#484073	C₂²	1	2	yes	complemented
271	#484069	C₂²	1	2	yes	complemented
272	M₁₆×SD₃₂	C₂²	1	2	yes	complemented
273	M₁₆×D₁₆	C₂²	1	2	yes	complemented
274	#483824	C₂²	1	2	yes	complemented
275	#483786	C₂²	1	2	yes	complemented
276	#483784	C₂²	1	2	yes	complemented
277	#483639	C₂²	1	4	yes	complemented
278	#483635	C₂²	1	4	yes	complemented
279	#483627	C₂²	1	2	yes	complemented
280	#483626	C₂²	1	2	yes	complemented
281	#483619	C₂²	1	2	yes	complemented
282	C₁₆×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
283	#483603	C₂²	1	2	yes	complemented
284	#483567	C₂²	1	2	yes	complemented
285	SD₁₆×M₃₂	C₂²	1	2	yes	complemented
286	D₈×M₃₂	C₂²	1	2	yes	complemented
287	C₈×#509	C₂²	1	2	yes	complemented
288	#483406	C₂²	1	1	yes	characteristic, complemented
289	#483356	C₂²	1	1	yes	characteristic, complemented
290	#483180	C₂²	1	1	yes	characteristic, complemented
291	#483176	C₂²	1	1	yes	characteristic, complemented
292	#483124	C₂²	1	1	yes	characteristic, complemented
293	#483121	C₂²	1	1	yes	characteristic, complemented
294	#481267	C₂²	1	1	yes	characteristic, complemented
295	#481264	C₂²	1	1	yes	characteristic, complemented
296	#481160	C₂²	1	1	yes	characteristic, complemented
297	#481116	C₂²	1	1	yes	characteristic, complemented
298	M₁₆×M₃₂	C₂²	1	1	yes	characteristic, complemented
299	C₂²×#509	D₄	1	1	yes	characteristic
300	#61436	C₂³	1	1	yes	characteristic, complemented
301	#61435	C₂³	1	1	yes	characteristic, complemented
302	#61433	C₂³	1	1	yes	characteristic, complemented
303	#61431	C₂³	1	1	yes	characteristic, complemented
304	#61430	C₂³	1	1	yes	characteristic, complemented
305	Q₁₆×#41	C₂³	1	1	yes	characteristic, complemented
306	#61427	C₂³	1	1	yes	characteristic, complemented
307	D₈×#41	C₂³	1	2	yes	—
308	D₈×#41	C₂³	1	2	yes	—
309	D₈×#41	C₂³	1	2	yes	complemented
310	D₈×#41	C₂³	1	2	yes	complemented
311	D₈×#41	C₂³	1	1	yes	characteristic, complemented
312	#61393	C₂³	1	1	yes	characteristic, complemented
313	C₂×#3391	C₂³	1	1	yes	characteristic, complemented
314	Q₈×#135	C₂³	1	1	yes	characteristic, complemented
315	C₂×Q₈×D₈	C₂³	1	1	yes	characteristic, complemented
316	#61234	C₂³	1	1	yes	characteristic, complemented
317	C₂×#3334	C₂³	1	1	yes	characteristic, complemented
318	D₄×#135	C₂³	1	2	yes	—
319	D₄×#135	C₂³	1	2	yes	—
320	D₄×#135	C₂³	1	2	yes	complemented
321	D₄×#135	C₂³	1	2	yes	complemented
322	D₄×#135	C₂³	1	1	yes	characteristic, complemented
323	C₂×#3287	C₂³	1	1	yes	characteristic, complemented
324	C₂×D₄×Q₁₆	C₂³	1	1	yes	characteristic, complemented
325	C₂×#3283	C₂³	1	1	yes	characteristic, complemented
326	C₂×D₄×D₈	C₂³	1	2	yes	—
327	C₂×D₄×D₈	C₂³	1	2	yes	—
328	C₂×D₄×D₈	C₂³	1	2	yes	—
329	C₂×D₄×D₈	C₂³	1	2	yes	—
330	C₂×D₄×D₈	C₂³	1	4	yes	—
331	C₂×D₄×D₈	C₂³	1	1	yes	characteristic, complemented
332	C₂×D₄×D₈	C₂³	1	1	yes	characteristic, complemented
333	#60673	C₂³	1	1	yes	characteristic
334	C₂×#3169	C₂³	1	1	yes	characteristic
335	C₂×#3147	C₂³	1	1	yes	characteristic
336	C₂²×#493	C₂³	1	1	yes	characteristic
337	C₂×C₈×#41	C₂³	1	1	yes	characteristic
338	C₂×C₄×AGL(1,ℤ/8)	D₄	1	1	yes	characteristic
339	C₂×C₄×#135	C₂³	1	1	yes	characteristic
340	C₂²×C₄×D₈	C₂³	1	1	yes	characteristic
341	C₂²×C₈×D₄	C₂³	1	1	yes	characteristic
342	#33966	C₂³	1	2	yes	complemented
343	#33964	C₂³	1	2	yes	complemented
344	#33959	C₂³	1	2	yes	complemented
345	#33958	C₂³	1	2	yes	complemented
346	#33953	C₂³	1	2	yes	complemented
347	#33951	C₂³	1	2	yes	complemented
348	Q₈×SD₃₂	C₂³	1	2	yes	complemented
349	Q₈×D₁₆	C₂³	1	2	yes	complemented
350	#33940	C₂³	1	2	yes	complemented
351	#33935	C₂³	1	2	yes	complemented
352	#33934	C₂³	1	2	yes	complemented
353	#33933	C₂³	1	2	yes	complemented
354	#33929	C₂³	1	2	yes	complemented
355	#33926	C₂³	1	2	yes	complemented
356	#33925	C₂³	1	2	yes	complemented
357	#33925	C₂³	1	2	yes	complemented
358	#33921	C₂³	1	2	yes	complemented
359	#33920	C₂³	1	2	yes	complemented
360	#33902	C₂³	1	2	yes	complemented
361	#33901	C₂³	1	2	yes	complemented
362	#33899	C₂³	1	2	yes	complemented
363	#33897	C₂³	1	2	yes	complemented
364	#33892	C₂³	1	2	yes	complemented
365	#33891	C₂³	1	2	yes	complemented
366	#33865	C₂³	1	2	yes	complemented
367	#33862	C₂³	1	2	yes	complemented
368	#33861	C₂³	1	2	yes	complemented
369	#33861	C₂³	1	2	yes	complemented
370	D₄×SD₃₂	C₂³	1	4	yes	—
371	D₄×SD₃₂	C₂³	1	4	yes	—
372	D₄×SD₃₂	C₂³	1	4	yes	complemented
373	D₄×SD₃₂	C₂³	1	4	yes	complemented
374	D₄×SD₃₂	C₂³	1	2	yes	complemented
375	D₄×D₁₆	C₂³	1	4	yes	—
376	D₄×D₁₆	C₂³	1	4	yes	—
377	D₄×D₁₆	C₂³	1	4	yes	complemented
378	D₄×D₁₆	C₂³	1	4	yes	complemented
379	D₄×D₁₆	C₂³	1	2	yes	complemented
380	#33840	C₂³	1	4	yes	—
381	#33840	C₂³	1	4	yes	—
382	#33840	C₂³	1	4	yes	complemented
383	#33840	C₂³	1	4	yes	complemented
384	#33840	C₂³	1	2	yes	complemented
385	#33838	C₂³	1	4	yes	—
386	#33838	C₂³	1	4	yes	—
387	#33838	C₂³	1	4	yes	complemented
388	#33838	C₂³	1	4	yes	complemented
389	#33838	C₂³	1	2	yes	complemented
390	#33774	C₂³	1	2	yes	complemented
391	#33774	C₂³	1	2	yes	complemented
392	#33773	C₂³	1	4	yes	complemented
393	#33772	C₂³	1	2	yes	complemented
394	#33771	C₂³	1	2	yes	complemented
395	#33771	C₂³	1	2	yes	complemented
396	#33771	C₂³	1	2	yes	complemented
397	#33751	C₂³	1	2	yes	complemented
398	#33748	C₂³	1	2	yes	complemented
399	#33736	C₂³	1	2	yes	complemented
400	#33733	C₂³	1	2	yes	complemented
401	#33731	C₂³	1	1	yes	characteristic, complemented
402	#33717	C₂³	1	2	yes	—
403	#33717	C₂³	1	2	yes	—
404	#33717	C₂³	1	4	yes	complemented
405	#33717	C₂³	1	1	yes	characteristic, complemented
406	#33717	C₂³	1	2	yes	complemented
407	#33717	C₂³	1	2	yes	complemented
408	C₂×#2248	C₂³	1	2	yes	complemented
409	C₂×#2246	C₂³	1	2	yes	complemented
410	#33707	C₂³	1	1	yes	characteristic, complemented
411	#33707	C₂³	1	2	yes	complemented
412	#33704	C₂³	1	1	yes	characteristic, complemented
413	#33704	C₂³	1	2	yes	complemented
414	#33675	C₂³	1	2	yes	complemented
415	#33675	C₂³	1	2	yes	complemented
416	#33670	C₂³	1	2	yes	complemented
417	#33669	C₂³	1	2	yes	complemented
418	#33663	C₂³	1	2	yes	complemented
419	#33661	C₂³	1	2	yes	—
420	#33660	C₂³	1	2	yes	—
421	#33660	C₂³	1	2	yes	complemented
422	#33629	C₂³	1	1	yes	characteristic, complemented
423	#33629	C₂³	1	1	yes	characteristic, complemented
424	#33627	C₂³	1	1	yes	characteristic, complemented
425	#33627	C₂³	1	1	yes	characteristic, complemented
426	#33582	C₂³	1	2	yes	—
427	#33582	C₂³	1	2	yes	—
428	#33582	C₂³	1	2	yes	complemented
429	#33582	C₂³	1	2	yes	complemented
430	#33582	C₂³	1	1	yes	characteristic, complemented
431	#33582	C₂³	1	1	yes	characteristic, complemented
432	#33580	C₂³	1	2	yes	—
433	#33580	C₂³	1	4	yes	—
434	#33580	C₂³	1	2	yes	—
435	#33580	C₂³	1	1	yes	characteristic, complemented
436	#33580	C₂³	1	1	yes	characteristic, complemented
437	C₂×#2207	C₂³	1	2	yes	complemented
438	C₂×#2208	C₂³	1	2	yes	—
439	C₂×#2206	C₂³	1	2	yes	—
440	C₂×#2206	C₂³	1	2	yes	complemented
441	#33485	C₂³	1	2	yes	complemented
442	#33484	C₂³	1	2	yes	complemented
443	#33479	C₂³	1	2	yes	complemented
444	C₁₆×#41	C₂³	1	2	yes	complemented
445	Q₈×M₃₂	C₂³	1	1	yes	characteristic, complemented
446	Q₈×M₃₂	C₂³	1	1	yes	characteristic, complemented
447	C₄×#509	D₄	1	2	yes	—
448	C₄×#509	D₄	1	2	yes	—
449	C₄×#509	D₄	1	1	yes	characteristic
450	C₄×#509	D₄	1	1	yes	characteristic
451	C₄×#509	D₄	1	1	yes	characteristic
452	C₄×#509	D₄	1	1	yes	characteristic
453	C₄×#509	C₂³	1	1	yes	characteristic
454	C₄×#509	C₂³	1	1	yes	characteristic
455	C₄×#509	C₂³	1	1	yes	characteristic
456	C₄×#509	C₂³	1	2	yes	—
457	C₄×#509	C₂³	1	2	yes	—
458	C₄×#509	C₂³	1	1	yes	characteristic
459	C₂×#2177	D₄	1	2	yes	—
460	C₂×#2175	D₄	1	2	yes	—
461	C₂×C₄×SD₃₂	C₂³	1	2	yes	—
462	C₂×C₄×D₁₆	C₂³	1	2	yes	—
463	D₄×M₃₂	C₂³	1	2	yes	—
464	D₄×M₃₂	C₂³	1	2	yes	—
465	D₄×M₃₂	C₂³	1	4	yes	complemented
466	D₄×M₃₂	C₂³	1	1	yes	characteristic, complemented
467	D₄×M₃₂	C₂³	1	1	yes	characteristic, complemented
468	C₂×#2169	C₂³	1	2	yes	complemented
469	C₂×D₄×C₁₆	C₂³	1	2	yes	complemented
470	#33418	C₂³	1	1	yes	characteristic
471	#33418	C₂³	1	1	yes	characteristic
472	C₂×#2159	D₄	1	1	yes	characteristic
473	C₂×#2150	C₂³	1	1	yes	characteristic
474	C₂×#2139	D₄	1	1	yes	characteristic
475	C₂×#2140	D₄	1	1	yes	characteristic
476	C₂×C₄×M₃₂	C₂³	1	1	yes	characteristic
477	#19986	C₂³	1	2	yes	complemented
478	#19985	C₂³	1	2	yes	complemented
479	SD₁₆×Q₁₆	C₂³	1	2	yes	complemented
480	#19983	C₂³	1	2	yes	complemented
481	#19980	C₂³	1	2	yes	complemented
482	#19979	C₂³	1	2	yes	complemented
483	#19976	C₂³	1	2	yes	complemented
484	#19975	C₂³	1	2	yes	complemented
485	D₈×Q₁₆	C₂³	1	2	yes	complemented
486	#19973	C₂³	1	2	yes	complemented
487	#19973	C₂³	1	2	yes	complemented
488	#19971	C₂³	1	2	yes	complemented
489	D₈×SD₁₆	C₂³	1	4	yes	—
490	D₈×SD₁₆	C₂³	1	4	yes	—
491	D₈×SD₁₆	C₂³	1	4	yes	complemented
492	D₈×SD₁₆	C₂³	1	4	yes	complemented
493	D₈×SD₁₆	C₂³	1	2	yes	complemented
494	#19968	C₂³	1	2	yes	complemented
495	#19968	C₂³	1	2	yes	complemented
496	D₈²	C₂³	1	4	yes	—
497	D₈²	C₂³	1	4	yes	—
498	D₈²	C₂³	1	4	yes	complemented
499	D₈²	C₂³	1	4	yes	complemented
500	D₈²	C₂³	1	2	yes	complemented
501	#19962	C₂³	1	2	yes	complemented
502	#19960	C₂³	1	2	yes	complemented
503	#19955	C₂³	1	2	yes	complemented
504	#19953	C₂³	1	2	yes	complemented
505	#19943	C₂³	1	2	yes	complemented
506	#19937	C₂³	1	2	yes	complemented
507	#19935	C₂³	1	2	yes	complemented
508	#19933	C₂³	1	2	yes	complemented
509	#19928	C₂³	1	2	yes	complemented
510	#19926	C₂³	1	2	yes	complemented
511	#19908	C₂³	1	2	yes	complemented
512	#19902	C₂³	1	2	yes	complemented
513	#19900	C₂³	1	2	yes	complemented
514	#19898	C₂³	1	2	yes	complemented
515	#19885	C₂³	1	4	yes	—
516	#19885	C₂³	1	4	yes	—
517	#19885	C₂³	1	4	yes	complemented
518	#19885	C₂³	1	4	yes	complemented
519	#19885	C₂³	1	2	yes	complemented
520	#19883	C₂³	1	4	yes	—
521	#19883	C₂³	1	4	yes	—
522	#19883	C₂³	1	4	yes	complemented
523	#19883	C₂³	1	4	yes	complemented
524	#19883	C₂³	1	2	yes	complemented
525	#19647	C₂³	1	2	yes	complemented
526	#19645	C₂³	1	2	yes	complemented
527	#19639	C₂³	1	1	yes	characteristic, complemented
528	#19635	C₂³	1	1	yes	characteristic, complemented
529	#19632	C₂³	1	1	yes	characteristic, complemented
530	#19629	C₂³	1	2	yes	—
531	#19629	C₂³	1	2	yes	—
532	#19629	C₂³	1	4	yes	complemented
533	#19629	C₂³	1	1	yes	characteristic, complemented
534	#19603	C₂³	1	2	yes	complemented
535	C₂×#1712	C₂³	1	2	yes	complemented
536	#19596	C₂³	1	2	yes	complemented
537	C₂×#1706	C₂³	1	2	yes	complemented
538	#19269	C₂³	1	2	yes	complemented
539	#19269	C₂³	1	2	yes	complemented
540	#19268	C₂³	1	1	yes	characteristic, complemented
541	#19268	C₂³	1	1	yes	characteristic, complemented
542	#19267	C₂³	1	2	yes	—
543	#19267	C₂³	1	2	yes	—
544	#19267	C₂³	1	2	yes	complemented
545	#19267	C₂³	1	2	yes	complemented
546	#19267	C₂³	1	1	yes	characteristic, complemented
547	#19267	C₂³	1	1	yes	characteristic, complemented
548	#19259	C₂³	1	2	yes	complemented
549	#19258	C₂³	1	2	yes	complemented
550	#19256	C₂³	1	1	yes	characteristic, complemented
551	#19256	C₂³	1	1	yes	characteristic, complemented
552	#19255	C₂³	1	2	yes	—
553	#19255	C₂³	1	2	yes	—
554	#19255	C₂³	1	4	yes	—
555	#19255	C₂³	1	1	yes	characteristic, complemented
556	#19255	C₂³	1	1	yes	characteristic, complemented
557	#19114	C₂³	1	2	yes	complemented
558	C₂×#1668	C₂³	1	2	yes	complemented
559	#19105	C₂³	1	2	yes	—
560	C₂×#1673	C₂³	1	2	yes	—
561	#19101	C₂³	1	2	yes	—
562	#19101	C₂³	1	2	yes	complemented
563	C₂×#1667	C₂³	1	2	yes	—
564	C₂×#1667	C₂³	1	2	yes	complemented
565	#18039	C₂³	1	2	yes	complemented
566	M₁₆×Q₁₆	C₂³	1	1	yes	characteristic, complemented
567	M₁₆×Q₁₆	C₂³	1	1	yes	characteristic, complemented
568	#18035	C₂³	1	2	yes	complemented
569	M₁₆×D₈	C₂³	1	2	yes	—
570	M₁₆×D₈	C₂³	1	2	yes	—
571	M₁₆×D₈	C₂³	1	4	yes	complemented
572	M₁₆×D₈	C₂³	1	1	yes	characteristic, complemented
573	M₁₆×D₈	C₂³	1	1	yes	characteristic, complemented
574	#17886	C₂³	1	2	yes	complemented
575	C₂×#1589	C₂³	1	2	yes	complemented
576	C₈×AGL(1,ℤ/8)	D₄	1	2	yes	—
577	C₈×AGL(1,ℤ/8)	D₄	1	2	yes	—
578	C₈×AGL(1,ℤ/8)	D₄	1	1	yes	characteristic
579	C₈×AGL(1,ℤ/8)	D₄	1	1	yes	characteristic
580	C₈×AGL(1,ℤ/8)	D₄	1	1	yes	characteristic
581	C₈×AGL(1,ℤ/8)	D₄	1	1	yes	characteristic
582	C₈×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
583	C₈×AGL(1,ℤ/8)	C₂³	1	2	yes	—
584	C₈×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
585	C₈×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
586	C₈×AGL(1,ℤ/8)	C₂³	1	2	yes	—
587	C₈×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
588	C₂×#1580	D₄	1	2	yes	—
589	C₂×SD₁₆⋊C₈	D₄	1	2	yes	—
590	C₈×#135	C₂³	1	2	yes	complemented
591	C₂×C₈×SD₁₆	C₂³	1	2	yes	—
592	C₂×C₈×D₈	C₂³	1	2	yes	—
593	C₂×C₈×D₈	C₂³	1	2	yes	complemented
594	#17793	C₂³	1	1	yes	characteristic
595	C₂×#1567	C₂³	1	1	yes	characteristic
596	C₂×#1565	D₄	1	1	yes	characteristic
597	C₂×#1477	D₄	1	1	yes	characteristic
598	C₂×#1478	D₄	1	1	yes	characteristic
599	C₂×C₈×M₁₆	C₂³	1	1	yes	characteristic
600	#12529	C₂³	1	4	yes	complemented
601	#12529	C₂³	1	4	yes	complemented
602	#12527	C₂³	1	4	yes	complemented
603	#12527	C₂³	1	4	yes	complemented
604	#12526	C₂³	1	4	yes	complemented
605	#12525	C₂³	1	4	yes	complemented
606	#12525	C₂³	1	4	yes	complemented
607	#12525	C₂³	1	4	yes	complemented
608	#12519	C₂³	1	4	yes	complemented
609	#12519	C₂³	1	4	yes	complemented
610	#12517	C₂³	1	4	yes	complemented
611	#12515	C₂³	1	4	yes	complemented
612	#12508	C₂³	1	4	yes	complemented
613	#12506	C₂³	1	4	yes	complemented
614	#12505	C₂³	1	4	yes	complemented
615	#12503	C₂³	1	4	yes	complemented
616	#12495	C₂³	1	4	yes	complemented
617	#12495	C₂³	1	4	yes	complemented
618	#12493	C₂³	1	4	yes	complemented
619	#12492	C₂³	1	4	yes	complemented
620	#12492	C₂³	1	4	yes	complemented
621	#12491	C₂³	1	4	yes	complemented
622	#12491	C₂³	1	4	yes	complemented
623	#12491	C₂³	1	4	yes	complemented
624	#12489	C₂³	1	4	yes	complemented
625	#12487	C₂³	1	4	yes	complemented
626	#12485	C₂³	1	4	yes	complemented
627	#12484	C₂³	1	4	yes	complemented
628	#12484	C₂³	1	4	yes	complemented
629	#12483	C₂³	1	4	yes	complemented
630	#12483	C₂³	1	4	yes	complemented
631	#12483	C₂³	1	4	yes	complemented
632	#12474	C₂³	1	4	yes	complemented
633	#12472	C₂³	1	4	yes	complemented
634	#12471	C₂³	1	4	yes	complemented
635	#12471	C₂³	1	4	yes	complemented
636	#12470	C₂³	1	4	yes	complemented
637	#12468	C₂³	1	4	yes	complemented
638	#12467	C₂³	1	4	yes	complemented
639	#12467	C₂³	1	4	yes	complemented
640	#12456	C₂³	1	4	yes	complemented
641	#12454	C₂³	1	4	yes	complemented
642	#12453	C₂³	1	4	yes	complemented
643	#12451	C₂³	1	4	yes	complemented
644	#12444	C₂³	1	4	yes	complemented
645	#12444	C₂³	1	4	yes	complemented
646	#12442	C₂³	1	4	yes	complemented
647	#12442	C₂³	1	4	yes	complemented
648	#12441	C₂³	1	4	yes	complemented
649	#12441	C₂³	1	4	yes	complemented
650	#12439	C₂³	1	4	yes	complemented
651	#12439	C₂³	1	4	yes	complemented
652	#12435	C₂³	1	4	yes	complemented
653	#12435	C₂³	1	4	yes	complemented
654	#12435	C₂³	1	4	yes	complemented
655	#12433	C₂³	1	4	yes	complemented
656	#12433	C₂³	1	4	yes	complemented
657	#12433	C₂³	1	4	yes	complemented
658	#12432	C₂³	1	4	yes	complemented
659	#12432	C₂³	1	4	yes	complemented
660	#12432	C₂³	1	4	yes	complemented
661	#12430	C₂³	1	4	yes	complemented
662	#12430	C₂³	1	4	yes	complemented
663	#12430	C₂³	1	4	yes	complemented
664	#12428	C₂³	1	4	yes	complemented
665	#12428	C₂³	1	4	yes	complemented
666	#12426	C₂³	1	4	yes	complemented
667	#12425	C₂³	1	4	yes	complemented
668	#12425	C₂³	1	4	yes	complemented
669	#12424	C₂³	1	4	yes	complemented
670	#12424	C₂³	1	4	yes	complemented
671	#12424	C₂³	1	4	yes	complemented
672	#12422	C₂³	1	4	yes	complemented
673	#12420	C₂³	1	4	yes	complemented
674	#12418	C₂³	1	4	yes	complemented
675	#12417	C₂³	1	4	yes	complemented
676	#12417	C₂³	1	4	yes	complemented
677	#12416	C₂³	1	4	yes	complemented
678	#12416	C₂³	1	4	yes	complemented
679	#12416	C₂³	1	4	yes	complemented
680	#12372	C₂³	1	4	yes	—
681	#12372	C₂³	1	4	yes	complemented
682	#12372	C₂³	1	4	yes	complemented
683	#12372	C₂³	1	4	yes	complemented
684	#12371	C₂³	1	4	yes	complemented
685	#12371	C₂³	1	4	yes	complemented
686	#12370	C₂³	1	4	yes	complemented
687	#12370	C₂³	1	4	yes	complemented
688	#12369	C₂³	1	4	yes	complemented
689	#12369	C₂³	1	4	yes	complemented
690	#12368	C₂³	1	4	yes	—
691	#12368	C₂³	1	4	yes	complemented
692	#12368	C₂³	1	4	yes	complemented
693	#12368	C₂³	1	4	yes	complemented
694	#12368	C₂³	1	4	yes	complemented
695	#12368	C₂³	1	4	yes	complemented
696	#12356	C₂³	1	4	yes	complemented
697	#12356	C₂³	1	4	yes	complemented
698	#12355	C₂³	1	4	yes	complemented
699	#12354	C₂³	1	4	yes	complemented
700	#12353	C₂³	1	4	yes	complemented
701	#12352	C₂³	1	4	yes	complemented
702	#12352	C₂³	1	4	yes	complemented
703	#12352	C₂³	1	4	yes	complemented
704	#12344	C₂³	1	4	yes	complemented
705	#12344	C₂³	1	4	yes	complemented
706	#12343	C₂³	1	4	yes	complemented
707	#12342	C₂³	1	4	yes	complemented
708	#12341	C₂³	1	4	yes	complemented
709	#12340	C₂³	1	4	yes	complemented
710	#12340	C₂³	1	4	yes	complemented
711	#12340	C₂³	1	4	yes	complemented
712	#12332	C₂³	1	4	yes	complemented
713	#12332	C₂³	1	4	yes	complemented
714	#12331	C₂³	1	4	yes	complemented
715	#12330	C₂³	1	4	yes	complemented
716	#12329	C₂³	1	4	yes	complemented
717	#12328	C₂³	1	4	yes	complemented
718	#12328	C₂³	1	4	yes	complemented
719	#12328	C₂³	1	4	yes	complemented
720	#12320	C₂³	1	4	yes	—
721	#12320	C₂³	1	4	yes	complemented
722	#12320	C₂³	1	4	yes	complemented
723	#12320	C₂³	1	4	yes	complemented
724	#12320	C₂³	1	4	yes	complemented
725	#12320	C₂³	1	4	yes	complemented
726	#12319	C₂³	1	4	yes	complemented
727	#12319	C₂³	1	4	yes	complemented
728	#12319	C₂³	1	4	yes	complemented
729	#12318	C₂³	1	4	yes	complemented
730	#12318	C₂³	1	4	yes	complemented
731	#12318	C₂³	1	4	yes	complemented
732	#12317	C₂³	1	4	yes	complemented
733	#12317	C₂³	1	4	yes	complemented
734	#12317	C₂³	1	4	yes	complemented
735	#12316	C₂³	1	4	yes	—
736	#12316	C₂³	1	4	yes	complemented
737	#12316	C₂³	1	4	yes	complemented
738	#12316	C₂³	1	4	yes	complemented
739	#12316	C₂³	1	4	yes	complemented
740	#12316	C₂³	1	4	yes	complemented
741	#12316	C₂³	1	4	yes	complemented
742	#12316	C₂³	1	4	yes	complemented
743	#12316	C₂³	1	4	yes	complemented
744	#12086	C₂³	1	4	yes	complemented
745	#12084	C₂³	1	4	yes	complemented
746	#12082	C₂³	1	4	yes	complemented
747	#12081	C₂³	1	4	yes	complemented
748	#12075	C₂³	1	4	yes	complemented
749	#12074	C₂³	1	4	yes	complemented
750	#12073	C₂³	1	4	yes	complemented
751	#12073	C₂³	1	4	yes	complemented
752	#12071	C₂³	1	4	yes	complemented
753	#12070	C₂³	1	4	yes	complemented
754	#12069	C₂³	1	4	yes	complemented
755	#12069	C₂³	1	4	yes	complemented
756	#12064	C₂³	1	4	yes	complemented
757	#12063	C₂³	1	4	yes	complemented
758	#12063	C₂³	1	4	yes	complemented
759	#12062	C₂³	1	4	yes	complemented
760	#12058	C₂³	1	4	yes	complemented
761	#12057	C₂³	1	4	yes	complemented
762	#12056	C₂³	1	4	yes	complemented
763	SD₁₆⋊C₁₆	C₂³	1	4	yes	complemented
764	#12051	C₂³	1	4	yes	complemented
765	#12050	C₂³	1	4	yes	complemented
766	#12049	C₂³	1	4	yes	complemented
767	C₁₆×SD₁₆	C₂³	1	4	yes	complemented
768	#12045	C₂³	1	4	yes	complemented
769	#12043	C₂³	1	4	yes	complemented
770	C₈×SD₃₂	C₂³	1	4	yes	complemented
771	C₈×D₁₆	C₂³	1	4	yes	complemented
772	#12039	C₂³	1	4	yes	complemented
773	#12038	C₂³	1	4	yes	complemented
774	#12038	C₂³	1	4	yes	complemented
775	C₁₆×D₈	C₂³	1	4	yes	complemented
776	#12025	C₂³	1	4	yes	complemented
777	#12023	C₂³	1	2	yes	complemented
778	#12022	C₂³	1	2	yes	complemented
779	#12017	C₂³	1	4	yes	complemented
780	#12015	C₂³	1	2	yes	complemented
781	#12015	C₂³	1	2	yes	complemented
782	#12009	C₂³	1	2	yes	complemented
783	#12009	C₂³	1	2	yes	complemented
784	#12004	C₂³	1	2	yes	complemented
785	#11996	C₂³	1	2	yes	complemented
786	#11988	C₂³	1	2	yes	complemented
787	#11986	C₂³	1	2	yes	complemented
788	#11985	C₂³	1	4	yes	complemented
789	#11983	C₂³	1	2	yes	complemented
790	#11981	C₂³	1	2	yes	complemented
791	#11981	C₂³	1	2	yes	complemented
792	#11981	C₂³	1	2	yes	complemented
793	#11966	C₂³	1	4	yes	complemented
794	#11964	C₂³	1	4	yes	complemented
795	#11962	C₂³	1	2	yes	complemented
796	#11961	C₂³	1	2	yes	complemented
797	#11961	C₂³	1	2	yes	complemented
798	#11961	C₂³	1	2	yes	complemented
799	#11942	C₂³	1	2	yes	complemented
800	#11940	C₂³	1	2	yes	complemented
801	#11931	C₂³	1	2	yes	complemented
802	#11931	C₂³	1	2	yes	complemented
803	#11931	C₂³	1	2	yes	complemented
804	#11930	C₂³	1	2	yes	complemented
805	#11930	C₂³	1	2	yes	complemented
806	#11930	C₂³	1	2	yes	complemented
807	#11661	C₂³	1	4	yes	complemented
808	#11660	C₂³	1	2	yes	complemented
809	#11660	C₂³	1	2	yes	complemented
810	#11658	C₂³	1	2	yes	complemented
811	#11657	C₂³	1	2	yes	—
812	#11657	C₂³	1	2	yes	—
813	#11657	C₂³	1	2	yes	complemented
814	#11631	C₂³	1	4	yes	complemented
815	#11629	C₂³	1	2	yes	complemented
816	#11629	C₂³	1	2	yes	complemented
817	#11623	C₂³	1	2	yes	complemented
818	#11623	C₂³	1	2	yes	complemented
819	#11621	C₂³	1	2	yes	complemented
820	#11621	C₂³	1	2	yes	complemented
821	#11607	C₂³	1	2	yes	complemented
822	#11593	C₂³	1	2	yes	complemented
823	#11593	C₂³	1	2	yes	complemented
824	#11592	C₂³	1	2	yes	complemented
825	#11592	C₂³	1	2	yes	complemented
826	#11583	C₂³	1	2	yes	—
827	#11583	C₂³	1	2	yes	—
828	#11583	C₂³	1	2	yes	complemented
829	#11409	C₂³	1	4	yes	complemented
830	#11408	C₂³	1	2	yes	complemented
831	C₁₆×M₁₆	C₂³	1	2	yes	complemented
832	#11402	C₂³	1	2	yes	complemented
833	C₈×M₃₂	C₂³	1	2	yes	complemented
834	C₂²×AGL(1,ℤ/8)	D₈	1	1	yes	characteristic
835	C₂²×#135	C₂×D₄	1	1	yes	characteristic
836	C₂³×D₈	C₂×D₄	1	1	yes	characteristic
837	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
838	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
839	C₂×#509	C₂×D₄	1	2	yes	—
840	C₂×#509	C₂×D₄	1	2	yes	—
841	C₂×#509	C₂×D₄	1	1	yes	characteristic
842	C₂×#509	C₂×D₄	1	1	yes	characteristic
843	C₂×#509	C₂×D₄	1	1	yes	characteristic
844	C₂×#509	C₂×D₄	1	1	yes	characteristic
845	C₂²×SD₃₂	C₂×D₄	1	2	yes	—
846	C₂²×D₁₆	C₂×D₄	1	2	yes	—
847	C₂²×M₃₂	C₂×D₄	1	1	yes	characteristic
848	C₂²×M₃₂	C₂×D₄	1	1	yes	characteristic
849	#3396	C₂⁴	1	1	yes	characteristic, complemented
850	#3395	C₂⁴	1	1	yes	characteristic, complemented
851	#3393	C₂⁴	1	1	yes	characteristic, complemented
852	#3391	C₂⁴	1	2	yes	—
853	#3391	C₂⁴	1	2	yes	—
854	#3391	C₂⁴	1	1	yes	characteristic, complemented
855	#3383	C₂⁴	1	1	yes	characteristic, complemented
856	Q₈×Q₁₆	C₂⁴	1	1	yes	characteristic, complemented
857	#3380	C₂⁴	1	1	yes	characteristic, complemented
858	Q₈×D₈	C₂⁴	1	2	yes	—
859	Q₈×D₈	C₂⁴	1	2	yes	—
860	Q₈×D₈	C₂⁴	1	1	yes	characteristic, complemented
861	#3342	C₂⁴	1	1	yes	characteristic, complemented
862	#3341	C₂⁴	1	1	yes	characteristic, complemented
863	#3338	C₂⁴	1	1	yes	characteristic, complemented
864	#3334	C₂⁴	1	2	yes	—
865	#3334	C₂⁴	1	2	yes	—
866	#3334	C₂⁴	1	1	yes	characteristic, complemented
867	#3287	C₂⁴	1	2	yes	—
868	#3287	C₂⁴	1	2	yes	—
869	#3287	C₂⁴	1	1	yes	characteristic, complemented
870	D₄×Q₁₆	C₂⁴	1	2	yes	—
871	D₄×Q₁₆	C₂⁴	1	2	yes	—
872	D₄×Q₁₆	C₂⁴	1	1	yes	characteristic, complemented
873	#3283	C₂⁴	1	2	yes	—
874	#3283	C₂⁴	1	2	yes	—
875	#3283	C₂⁴	1	1	yes	characteristic, complemented
876	D₄×D₈	C₂⁴	1	2	yes	—
877	D₄×D₈	C₂⁴	1	4	yes	—
878	D₄×D₈	C₂⁴	1	4	yes	—
879	D₄×D₈	C₂⁴	1	2	yes	—
880	D₄×D₈	C₂⁴	1	2	yes	—
881	D₄×D₈	C₂⁴	1	2	yes	—
882	D₄×D₈	C₂⁴	1	4	yes	—
883	D₄×D₈	C₂⁴	1	4	yes	—
884	D₄×D₈	C₂⁴	1	1	yes	characteristic, complemented
885	#3170	C₂⁴	1	1	yes	characteristic
886	#3170	C₂⁴	1	1	yes	characteristic
887	#3169	C₂⁴	1	1	yes	characteristic
888	#3169	C₂⁴	1	1	yes	characteristic
889	#3169	C₂⁴	1	2	yes	—
890	#3169	C₂⁴	1	2	yes	—
891	#3160	C₂⁴	1	1	yes	characteristic
892	C₂×#500	C₂⁴	1	1	yes	characteristic
893	#3147	C₂⁴	1	1	yes	characteristic
894	#3147	C₂⁴	1	2	yes	—
895	#3147	C₂⁴	1	2	yes	—
896	C₂×#494	C₂⁴	1	1	yes	characteristic
897	C₂×#493	C₂⁴	1	1	yes	characteristic
898	C₂×#493	C₂⁴	1	2	yes	—
899	C₂×#493	C₂⁴	1	2	yes	—
900	C₂×#493	C₂⁴	1	2	yes	—
901	C₂×#493	C₂⁴	1	1	yes	characteristic
902	C₈×#41	C₂×D₄	1	1	yes	characteristic
903	C₈×#41	C₂×D₄	1	1	yes	characteristic
904	C₈×#41	C₂×D₄	1	1	yes	characteristic
905	C₈×#41	C₂×D₄	1	1	yes	characteristic
906	C₈×#41	C₂⁴	1	1	yes	characteristic
907	C₈×#41	C₂⁴	1	1	yes	characteristic
908	C₈×#41	C₂⁴	1	1	yes	characteristic
909	C₈×#41	C₂⁴	1	1	yes	characteristic
910	C₂×C₈×Q₈	C₂×D₄	1	1	yes	characteristic
911	C₂×C₈×Q₈	C₂⁴	1	1	yes	characteristic
912	C₄×AGL(1,ℤ/8)	D₈	1	1	yes	characteristic
913	C₄×AGL(1,ℤ/8)	D₈	1	1	yes	characteristic
914	C₄×AGL(1,ℤ/8)	D₈	1	1	yes	characteristic
915	C₄×AGL(1,ℤ/8)	D₈	1	1	yes	characteristic
916	C₄×AGL(1,ℤ/8)	D₈	1	2	yes	—
917	C₄×AGL(1,ℤ/8)	D₈	1	2	yes	—
918	C₄×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
919	C₄×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
920	C₄×AGL(1,ℤ/8)	C₂×D₄	1	1	yes	characteristic
921	C₄×AGL(1,ℤ/8)	C₂×D₄	1	1	yes	characteristic
922	C₄×AGL(1,ℤ/8)	C₂×D₄	1	1	yes	characteristic
923	C₄×AGL(1,ℤ/8)	C₂×D₄	1	1	yes	characteristic
924	C₂×#442	D₈	1	2	yes	—
925	C₂×#440	D₈	1	2	yes	—
926	C₄×#135	C₂×D₄	1	1	yes	characteristic
927	C₄×#135	C₂×D₄	1	1	yes	characteristic
928	C₄×#135	C₂×D₄	1	1	yes	characteristic
929	C₄×#135	C₂×D₄	1	1	yes	characteristic
930	C₄×#135	C₂⁴	1	1	yes	characteristic
931	C₄×#135	C₂⁴	1	1	yes	characteristic
932	C₄×#135	C₂⁴	1	1	yes	characteristic
933	C₄×#135	C₂⁴	1	1	yes	characteristic
934	C₂×C₄×Q₁₆	C₂×D₄	1	1	yes	characteristic
935	C₂×C₄×Q₁₆	C₂⁴	1	1	yes	characteristic
936	C₂×C₄×SD₁₆	C₂×D₄	1	2	yes	—
937	C₂×C₄×D₈	C₂×D₄	1	1	yes	characteristic
938	C₂×C₄×D₈	C₂×D₄	1	2	yes	—
939	C₂×C₄×D₈	C₂×D₄	1	2	yes	—
940	C₂×C₄×D₈	C₂×D₄	1	1	yes	characteristic
941	C₂×C₄×D₈	C₂×D₄	1	1	yes	characteristic
942	C₂×C₄×D₈	C₂×D₄	1	2	yes	—
943	C₂×C₄×D₈	C₂⁴	1	2	yes	—
944	C₂×C₄×D₈	C₂⁴	1	1	yes	characteristic
945	C₂×C₄×D₈	C₂⁴	1	1	yes	characteristic
946	C₂×C₄×D₈	C₂⁴	1	1	yes	characteristic
947	C₂×C₄×D₈	C₂⁴	1	2	yes	—
948	C₂×C₈×D₄	C₂×D₄	1	1	yes	characteristic
949	C₂×C₈×D₄	C₂×D₄	1	1	yes	characteristic
950	C₂×C₈×D₄	C₂×D₄	1	1	yes	characteristic
951	C₂×C₈×D₄	C₂×D₄	1	2	yes	—
952	C₂×C₈×D₄	C₂×D₄	1	2	yes	—
953	C₂×C₈×D₄	C₂⁴	1	1	yes	characteristic
954	C₂×C₈×D₄	C₂⁴	1	1	yes	characteristic
955	C₂×C₈×D₄	C₂⁴	1	1	yes	characteristic
956	C₂×C₈×D₄	C₂⁴	1	2	yes	—
957	C₂×C₈×D₄	C₂⁴	1	2	yes	—
958	C₂×#431	C₂×D₄	1	1	yes	characteristic
959	C₂×#431	C₂×D₄	1	1	yes	characteristic
960	C₂×#428	D₈	1	1	yes	characteristic
961	C₂×#427	C₂×D₄	1	1	yes	characteristic
962	C₂²×#107	C₂×D₄	1	1	yes	characteristic
963	C₂²×C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
964	C₂×#417	D₈	1	1	yes	characteristic
965	C₂×#418	D₈	1	1	yes	characteristic
966	C₂×C₄×M₁₆	C₂×D₄	1	1	yes	characteristic
967	C₂²×C₄×C₈	C₂⁴	1	1	yes	characteristic
968	#2254	C₂⁴	1	2	yes	complemented
969	#2252	C₂⁴	1	2	yes	complemented
970	#2248	C₂⁴	1	4	yes	—
971	#2248	C₂⁴	1	4	yes	—
972	#2248	C₂⁴	1	4	yes	—
973	#2248	C₂⁴	1	2	yes	complemented
974	#2248	C₂⁴	1	4	yes	complemented
975	#2246	C₂⁴	1	4	yes	—
976	#2246	C₂⁴	1	4	yes	—
977	#2246	C₂⁴	1	4	yes	—
978	#2246	C₂⁴	1	2	yes	complemented
979	#2246	C₂⁴	1	4	yes	complemented
980	#2241	C₂⁴	1	2	yes	complemented
981	#2241	C₂⁴	1	4	yes	complemented
982	#2240	C₂⁴	1	4	yes	—
983	#2240	C₂⁴	1	4	yes	—
984	#2240	C₂⁴	1	2	yes	complemented
985	#2240	C₂⁴	1	2	yes	complemented
986	#2240	C₂⁴	1	2	yes	complemented
987	#2240	C₂⁴	1	4	yes	complemented
988	#2226	C₂⁴	1	2	yes	—
989	#2226	C₂⁴	1	2	yes	—
990	#2225	C₂⁴	1	2	yes	complemented
991	#2225	C₂⁴	1	2	yes	complemented
992	#2224	C₂⁴	1	2	yes	—
993	#2224	C₂⁴	1	2	yes	—
994	#2224	C₂⁴	1	2	yes	complemented
995	#2224	C₂⁴	1	2	yes	complemented
996	#2208	C₂⁴	1	2	yes	—
997	#2208	C₂⁴	1	2	yes	—
998	#2208	C₂⁴	1	4	yes	—
999	#2208	C₂⁴	1	4	yes	—
1000	#2207	C₂⁴	1	4	yes	—
1001	#2207	C₂⁴	1	4	yes	—
1002	#2207	C₂⁴	1	2	yes	complemented
1003	#2207	C₂⁴	1	2	yes	complemented
1004	#2206	C₂⁴	1	2	yes	—
1005	#2206	C₂⁴	1	2	yes	—
1006	#2206	C₂⁴	1	4	yes	—
1007	#2206	C₂⁴	1	4	yes	—
1008	#2206	C₂⁴	1	4	yes	—
1009	#2206	C₂⁴	1	4	yes	—
1010	#2206	C₂⁴	1	2	yes	complemented
1011	#2206	C₂⁴	1	2	yes	complemented
1012	#2183	C₂⁴	1	2	yes	complemented
1013	#2183	C₂⁴	1	2	yes	complemented
1014	Q₈×C₁₆	C₂⁴	1	2	yes	complemented
1015	Q₈×C₁₆	C₂⁴	1	2	yes	complemented
1016	#2177	C₂×D₄	1	2	yes	—
1017	#2177	C₂×D₄	1	2	yes	—
1018	#2177	C₂×D₄	1	2	yes	—
1019	#2177	C₂×D₄	1	2	yes	—
1020	#2177	C₂×D₄	1	2	yes	—
1021	#2177	C₂×D₄	1	2	yes	—
1022	#2177	C₂×D₄	1	2	yes	—
1023	#2177	C₂×D₄	1	2	yes	—
1024	#2175	C₂×D₄	1	2	yes	—
1025	#2175	C₂×D₄	1	2	yes	—
1026	#2175	C₂×D₄	1	2	yes	—
1027	#2175	C₂×D₄	1	2	yes	—
1028	#2175	C₂×D₄	1	2	yes	—
1029	#2175	C₂×D₄	1	2	yes	—
1030	#2175	C₂×D₄	1	2	yes	—
1031	#2175	C₂×D₄	1	2	yes	—
1032	C₄×SD₃₂	C₂×D₄	1	2	yes	—
1033	C₄×SD₃₂	C₂×D₄	1	2	yes	—
1034	C₄×SD₃₂	C₂×D₄	1	2	yes	—
1035	C₄×SD₃₂	C₂×D₄	1	2	yes	—
1036	C₄×SD₃₂	C₂⁴	1	2	yes	—
1037	C₄×SD₃₂	C₂⁴	1	2	yes	—
1038	C₄×SD₃₂	C₂⁴	1	2	yes	—
1039	C₄×SD₃₂	C₂⁴	1	2	yes	—
1040	C₄×D₁₆	C₂×D₄	1	2	yes	—
1041	C₄×D₁₆	C₂×D₄	1	2	yes	—
1042	C₄×D₁₆	C₂×D₄	1	2	yes	—
1043	C₄×D₁₆	C₂×D₄	1	2	yes	—
1044	C₄×D₁₆	C₂⁴	1	2	yes	—
1045	C₄×D₁₆	C₂⁴	1	2	yes	—
1046	C₄×D₁₆	C₂⁴	1	2	yes	—
1047	C₄×D₁₆	C₂⁴	1	2	yes	—
1048	#2169	C₂⁴	1	4	yes	—
1049	#2169	C₂⁴	1	4	yes	—
1050	#2169	C₂⁴	1	2	yes	complemented
1051	#2169	C₂⁴	1	2	yes	complemented
1052	D₄×C₁₆	C₂⁴	1	4	yes	—
1053	D₄×C₁₆	C₂⁴	1	4	yes	—
1054	D₄×C₁₆	C₂⁴	1	2	yes	complemented
1055	D₄×C₁₆	C₂⁴	1	2	yes	complemented
1056	#2163	C₂⁴	1	2	yes	—
1057	#2162	C₂⁴	1	2	yes	—
1058	#2162	C₂⁴	1	2	yes	—
1059	#2162	C₂⁴	1	2	yes	—
1060	#2159	C₂×D₄	1	1	yes	characteristic
1061	#2159	C₂×D₄	1	1	yes	characteristic
1062	#2159	C₂×D₄	1	1	yes	characteristic
1063	#2159	C₂×D₄	1	2	yes	—
1064	#2159	C₂×D₄	1	2	yes	—
1065	#2159	C₂×D₄	1	1	yes	characteristic
1066	C₂×#367	C₂×D₄	1	2	yes	—
1067	C₂×#366	C₂×D₄	1	2	yes	—
1068	#2150	C₂⁴	1	2	yes	—
1069	#2150	C₂⁴	1	2	yes	—
1070	#2150	C₂⁴	1	1	yes	characteristic
1071	#2150	C₂⁴	1	1	yes	characteristic
1072	C₂×C₄⋊C₁₆	C₂⁴	1	2	yes	—
1073	#2140	C₂×D₄	1	1	yes	characteristic
1074	#2140	C₂×D₄	1	1	yes	characteristic
1075	#2140	C₂×D₄	1	2	yes	—
1076	#2140	C₂×D₄	1	1	yes	characteristic
1077	#2140	C₂×D₄	1	2	yes	—
1078	#2140	C₂×D₄	1	1	yes	characteristic
1079	#2139	C₂×D₄	1	1	yes	characteristic
1080	#2139	C₂×D₄	1	1	yes	characteristic
1081	#2139	C₂×D₄	1	2	yes	—
1082	#2139	C₂×D₄	1	2	yes	—
1083	#2139	C₂×D₄	1	1	yes	characteristic
1084	#2139	C₂×D₄	1	1	yes	characteristic
1085	C₂×#358	C₂×D₄	1	2	yes	—
1086	C₂×#357	C₂×D₄	1	2	yes	—
1087	C₂×#357	C₂×D₄	1	2	yes	—
1088	C₂×#357	C₂×D₄	1	2	yes	—
1089	C₄×M₃₂	C₂×D₄	1	1	yes	characteristic
1090	C₄×M₃₂	C₂×D₄	1	1	yes	characteristic
1091	C₄×M₃₂	C₂×D₄	1	2	yes	—
1092	C₄×M₃₂	C₂⁴	1	2	yes	—
1093	C₄×M₃₂	C₂⁴	1	1	yes	characteristic
1094	C₄×M₃₂	C₂⁴	1	1	yes	characteristic
1095	C₄×M₃₂	C₂⁴	1	2	yes	—
1096	C₂×#346	C₂×D₄	1	2	yes	—
1097	C₂×C₄×C₁₆	C₂⁴	1	2	yes	—
1098	#1713	C₂⁴	1	2	yes	complemented
1099	#1712	C₂⁴	1	4	yes	—
1100	#1712	C₂⁴	1	4	yes	—
1101	#1712	C₂⁴	1	2	yes	complemented
1102	#1709	C₂⁴	1	2	yes	complemented
1103	#1709	C₂⁴	1	2	yes	complemented
1104	#1707	C₂⁴	1	2	yes	complemented
1105	#1707	C₂⁴	1	2	yes	complemented
1106	#1706	C₂⁴	1	4	yes	—
1107	#1706	C₂⁴	1	4	yes	—
1108	#1706	C₂⁴	1	2	yes	complemented
1109	#1706	C₂⁴	1	2	yes	complemented
1110	#1675	C₂⁴	1	2	yes	—
1111	#1675	C₂⁴	1	2	yes	—
1112	#1673	C₂⁴	1	4	yes	—
1113	#1673	C₂⁴	1	4	yes	—
1114	#1673	C₂⁴	1	2	yes	—
1115	#1673	C₂⁴	1	2	yes	—
1116	#1670	C₂⁴	1	2	yes	complemented
1117	#1670	C₂⁴	1	2	yes	complemented
1118	#1669	C₂⁴	1	2	yes	—
1119	#1669	C₂⁴	1	2	yes	—
1120	#1669	C₂⁴	1	2	yes	complemented
1121	#1669	C₂⁴	1	2	yes	complemented
1122	#1668	C₂⁴	1	4	yes	—
1123	#1668	C₂⁴	1	4	yes	—
1124	#1668	C₂⁴	1	2	yes	complemented
1125	#1668	C₂⁴	1	2	yes	complemented
1126	#1667	C₂⁴	1	2	yes	—
1127	#1667	C₂⁴	1	2	yes	—
1128	#1667	C₂⁴	1	4	yes	—
1129	#1667	C₂⁴	1	4	yes	—
1130	#1667	C₂⁴	1	4	yes	—
1131	#1667	C₂⁴	1	4	yes	—
1132	#1667	C₂⁴	1	2	yes	complemented
1133	#1667	C₂⁴	1	2	yes	complemented
1134	#1591	C₂⁴	1	2	yes	complemented
1135	#1591	C₂⁴	1	2	yes	complemented
1136	#1589	C₂⁴	1	4	yes	—
1137	#1589	C₂⁴	1	4	yes	—
1138	#1589	C₂⁴	1	2	yes	complemented
1139	#1589	C₂⁴	1	2	yes	complemented
1140	#1580	C₂×D₄	1	2	yes	—
1141	#1580	C₂×D₄	1	2	yes	—
1142	#1580	C₂×D₄	1	2	yes	—
1143	#1580	C₂×D₄	1	2	yes	—
1144	#1580	C₂×D₄	1	2	yes	—
1145	#1580	C₂×D₄	1	2	yes	—
1146	#1580	C₂×D₄	1	2	yes	—
1147	#1580	C₂×D₄	1	2	yes	—
1148	SD₁₆⋊C₈	C₂×D₄	1	2	yes	—
1149	SD₁₆⋊C₈	C₂×D₄	1	2	yes	—
1150	SD₁₆⋊C₈	C₂×D₄	1	2	yes	—
1151	SD₁₆⋊C₈	C₂×D₄	1	2	yes	—
1152	SD₁₆⋊C₈	C₂×D₄	1	2	yes	—
1153	SD₁₆⋊C₈	C₂×D₄	1	2	yes	—
1154	SD₁₆⋊C₈	C₂×D₄	1	2	yes	—
1155	SD₁₆⋊C₈	C₂×D₄	1	2	yes	—
1156	C₈×Q₁₆	C₂⁴	1	2	yes	complemented
1157	C₈×Q₁₆	C₂⁴	1	2	yes	complemented
1158	C₈×SD₁₆	C₂×D₄	1	2	yes	—
1159	C₈×SD₁₆	C₂×D₄	1	2	yes	—
1160	C₈×SD₁₆	C₂×D₄	1	2	yes	—
1161	C₈×SD₁₆	C₂×D₄	1	2	yes	—
1162	C₈×SD₁₆	C₂⁴	1	2	yes	—
1163	C₈×SD₁₆	C₂⁴	1	2	yes	—
1164	C₈×SD₁₆	C₂⁴	1	2	yes	—
1165	C₈×SD₁₆	C₂⁴	1	2	yes	—
1166	C₈×D₈	C₂×D₄	1	2	yes	—
1167	C₈×D₈	C₂×D₄	1	2	yes	—
1168	C₈×D₈	C₂×D₄	1	2	yes	—
1169	C₈×D₈	C₂×D₄	1	2	yes	—
1170	C₈×D₈	C₂⁴	1	4	yes	—
1171	C₈×D₈	C₂⁴	1	4	yes	—
1172	C₈×D₈	C₂⁴	1	2	yes	—
1173	C₈×D₈	C₂⁴	1	2	yes	—
1174	C₈×D₈	C₂⁴	1	2	yes	—
1175	C₈×D₈	C₂⁴	1	2	yes	—
1176	C₈×D₈	C₂⁴	1	2	yes	complemented
1177	C₈×D₈	C₂⁴	1	2	yes	complemented
1178	#1568	C₂⁴	1	2	yes	—
1179	#1567	C₂⁴	1	2	yes	—
1180	#1567	C₂⁴	1	2	yes	—
1181	#1567	C₂⁴	1	1	yes	characteristic
1182	#1567	C₂⁴	1	1	yes	characteristic
1183	#1565	C₂×D₄	1	1	yes	characteristic
1184	#1565	C₂×D₄	1	1	yes	characteristic
1185	#1565	C₂×D₄	1	1	yes	characteristic
1186	#1565	C₂×D₄	1	1	yes	characteristic
1187	#1565	C₂×D₄	1	2	yes	—
1188	#1565	C₂×D₄	1	2	yes	—
1189	#1564	C₂⁴	1	2	yes	—
1190	C₂×#335	C₂×D₄	1	2	yes	—
1191	C₂×#335	C₂⁴	1	2	yes	—
1192	C₂×#334	C₂×D₄	1	2	yes	—
1193	#1478	C₂×D₄	1	1	yes	characteristic
1194	#1478	C₂×D₄	1	1	yes	characteristic
1195	#1478	C₂×D₄	1	1	yes	characteristic
1196	#1478	C₂×D₄	1	1	yes	characteristic
1197	#1478	C₂×D₄	1	2	yes	—
1198	#1478	C₂×D₄	1	2	yes	—
1199	#1477	C₂×D₄	1	2	yes	—
1200	#1477	C₂×D₄	1	2	yes	—
1201	#1477	C₂×D₄	1	1	yes	characteristic
1202	#1477	C₂×D₄	1	1	yes	characteristic
1203	#1477	C₂×D₄	1	1	yes	characteristic
1204	#1477	C₂×D₄	1	1	yes	characteristic
1205	C₂×Q₈⋊C₈	C₂×D₄	1	2	yes	—
1206	C₂×D₄⋊C₈	C₂×D₄	1	2	yes	—
1207	C₂×D₄⋊C₈	C₂×D₄	1	2	yes	—
1208	C₂×D₄⋊C₈	C₂×D₄	1	2	yes	—
1209	C₈×M₁₆	C₂×D₄	1	1	yes	characteristic
1210	C₈×M₁₆	C₂×D₄	1	1	yes	characteristic
1211	C₈×M₁₆	C₂×D₄	1	2	yes	—
1212	C₈×M₁₆	C₂⁴	1	1	yes	characteristic
1213	C₈×M₁₆	C₂⁴	1	1	yes	characteristic
1214	C₈×M₁₆	C₂⁴	1	2	yes	—
1215	C₂×#322	C₂×D₄	1	2	yes	—
1216	C₂×C₈²	C₂⁴	1	2	yes	—
1217	#1372	C₂⁴	1	4	yes	complemented
1218	#1372	C₂⁴	1	4	yes	complemented
1219	#1371	C₂⁴	1	4	yes	complemented
1220	#1371	C₂⁴	1	4	yes	complemented
1221	#1370	C₂⁴	1	4	yes	complemented
1222	#1370	C₂⁴	1	4	yes	complemented
1223	#1367	C₂⁴	1	4	yes	complemented
1224	#1367	C₂⁴	1	4	yes	complemented
1225	#1365	C₂⁴	1	4	yes	complemented
1226	#1364	C₂⁴	1	4	yes	complemented
1227	#1364	C₂⁴	1	4	yes	complemented
1228	#1364	C₂⁴	1	4	yes	complemented
1229	#1362	C₂⁴	1	4	yes	complemented
1230	#1362	C₂⁴	1	4	yes	complemented
1231	#1362	C₂⁴	1	4	yes	complemented
1232	#1361	C₂⁴	1	4	yes	—
1233	#1361	C₂⁴	1	4	yes	—
1234	#1361	C₂⁴	1	4	yes	—
1235	#1361	C₂⁴	1	4	yes	—
1236	#1361	C₂⁴	1	4	yes	complemented
1237	#1361	C₂⁴	1	4	yes	complemented
1238	#1361	C₂⁴	1	4	yes	complemented
1239	#1361	C₂⁴	1	4	yes	complemented
1240	#1361	C₂⁴	1	4	yes	complemented
1241	Q₈⋊C₁₆	C₂⁴	1	4	yes	complemented
1242	Q₈⋊C₁₆	C₂⁴	1	4	yes	complemented
1243	#1332	C₂⁴	1	4	yes	complemented
1244	#1332	C₂⁴	1	4	yes	complemented
1245	#1331	C₂⁴	1	4	yes	—
1246	#1331	C₂⁴	1	4	yes	—
1247	#1331	C₂⁴	1	4	yes	—
1248	#1331	C₂⁴	1	4	yes	—
1249	#1331	C₂⁴	1	4	yes	complemented
1250	#1331	C₂⁴	1	4	yes	complemented
1251	D₄⋊C₁₆	C₂⁴	1	4	yes	—
1252	D₄⋊C₁₆	C₂⁴	1	4	yes	—
1253	D₄⋊C₁₆	C₂⁴	1	4	yes	—
1254	D₄⋊C₁₆	C₂⁴	1	4	yes	—
1255	D₄⋊C₁₆	C₂⁴	1	4	yes	complemented
1256	D₄⋊C₁₆	C₂⁴	1	4	yes	complemented
1257	#1312	C₂⁴	1	4	yes	complemented
1258	#1312	C₂⁴	1	4	yes	complemented
1259	#1311	C₂⁴	1	4	yes	complemented
1260	C₈×C₁₆	C₂⁴	1	4	yes	complemented
1261	C₂²×#41	C₂×D₈	1	1	yes	characteristic
1262	C₂³×D₄	C₂×D₈	1	1	yes	characteristic
1263	C₂×AGL(1,ℤ/8)	C₂×D₈	1	1	yes	characteristic
1264	C₂×AGL(1,ℤ/8)	C₂×D₈	1	1	yes	characteristic
1265	C₂×AGL(1,ℤ/8)	C₂×D₈	1	1	yes	characteristic
1266	C₂×AGL(1,ℤ/8)	C₂×D₈	1	2	yes	—
1267	C₂×AGL(1,ℤ/8)	C₂×D₈	1	2	yes	—
1268	C₂×AGL(1,ℤ/8)	C₂×D₈	1	1	yes	characteristic
1269	C₂×#135	C₂²×D₄	1	1	yes	characteristic
1270	C₂×#135	C₂²×D₄	1	1	yes	characteristic
1271	C₂×#135	C₂²×D₄	1	1	yes	characteristic
1272	C₂×#135	C₂²×D₄	1	1	yes	characteristic
1273	C₂²×Q₁₆	C₂²×D₄	1	1	yes	characteristic
1274	C₂²×SD₁₆	C₂×D₈	1	2	yes	—
1275	C₂²×D₈	C₂×D₈	1	2	yes	—
1276	C₂²×D₈	C₂²×D₄	1	1	yes	characteristic
1277	C₂²×D₈	C₂²×D₄	1	1	yes	characteristic
1278	C₂²×D₈	C₂²×D₄	1	2	yes	—
1279	C₂²×D₈	C₂²×D₄	1	2	yes	—
1280	C₂²×D₈	C₂²×D₄	1	1	yes	characteristic
1281	C₂²×M₁₆	C₂×D₈	1	1	yes	characteristic
1282	C₂²×M₁₆	C₂×D₈	1	1	yes	characteristic
1283	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
1284	C₂³×C₈	H(5,𝔽₂)	1	1	yes	characteristic
1285	C₄×#41	C₂×D₈	1	1	yes	characteristic
1286	C₄×#41	C₂×D₈	1	1	yes	characteristic
1287	C₄×#41	C₂×D₈	1	1	yes	characteristic
1288	C₄×#41	C₂×D₈	1	1	yes	characteristic
1289	C₄×#41	C₂²×D₄	1	1	yes	characteristic
1290	C₄×#41	C₂²×D₄	1	1	yes	characteristic
1291	C₄×#41	C₂²×D₄	1	1	yes	characteristic
1292	C₄×#41	C₂²×D₄	1	1	yes	characteristic
1293	C₂×C₄×Q₈	C₂×D₈	1	1	yes	characteristic
1294	C₂×C₄×Q₈	C₂²×D₄	1	1	yes	characteristic
1295	C₂×C₄×D₄	C₂×D₈	1	2	yes	—
1296	C₂×C₄×D₄	C₂×D₈	1	1	yes	characteristic
1297	C₂×C₄×D₄	C₂×D₈	1	2	yes	—
1298	C₂×C₄×D₄	C₂×D₈	1	1	yes	characteristic
1299	C₂×C₄×D₄	C₂×D₈	1	1	yes	characteristic
1300	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1301	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1302	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1303	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
1304	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
1305	C₂×#117	C₂×D₈	1	1	yes	characteristic
1306	C₂²×C₄⋊C₄	C₂×D₈	1	1	yes	characteristic
1307	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1308	#509	AGL(1,ℤ/8)	1	8	yes	direct product factor
1309	C₂×SD₃₂	C₂²×D₄	1	2	yes	—
1310	C₂×SD₃₂	C₂²×D₄	1	2	yes	—
1311	C₂×SD₃₂	C₂²×D₄	1	2	yes	—
1312	C₂×SD₃₂	C₂²×D₄	1	2	yes	—
1313	C₂×D₁₆	C₂²×D₄	1	2	yes	—
1314	C₂×D₁₆	C₂²×D₄	1	2	yes	—
1315	C₂×D₁₆	C₂²×D₄	1	2	yes	—
1316	C₂×D₁₆	C₂²×D₄	1	2	yes	—
1317	C₂×M₃₂	C₂²×D₄	1	1	yes	characteristic
1318	C₂×M₃₂	C₂²×D₄	1	1	yes	characteristic
1319	C₂×M₃₂	C₂²×D₄	1	1	yes	characteristic
1320	C₂×M₃₂	C₂²×D₄	1	2	yes	—
1321	C₂×M₃₂	C₂²×D₄	1	2	yes	—
1322	C₂×M₃₂	C₂²×D₄	1	1	yes	characteristic
1323	C₂²×C₁₆	C₂²×D₄	1	2	yes	—
1324	C₂²×C₁₆	C₂²×D₄	1	2	yes	—
1325	#500	C₂⁵	1	2	yes	—
1326	#500	C₂⁵	1	1	yes	characteristic
1327	#500	C₂⁵	1	1	yes	characteristic
1328	#494	C₂⁵	1	1	yes	characteristic
1329	#494	C₂⁵	1	2	yes	—
1330	#493	C₂⁵	1	2	yes	—
1331	#493	C₂⁵	1	1	yes	characteristic
1332	#493	C₂⁵	1	4	yes	—
1333	#493	C₂⁵	1	2	yes	—
1334	C₈×Q₈	C₂²×D₄	1	1	yes	characteristic
1335	C₈×Q₈	C₂²×D₄	1	1	yes	characteristic
1336	C₈×Q₈	C₂²×D₄	1	1	yes	characteristic
1337	C₈×Q₈	C₂²×D₄	1	1	yes	characteristic
1338	C₈×Q₈	C₂²×D₄	1	1	yes	characteristic
1339	C₈×Q₈	C₂²×D₄	1	1	yes	characteristic
1340	C₈×Q₈	C₂⁵	1	1	yes	characteristic
1341	C₈×Q₈	C₂⁵	1	1	yes	characteristic
1342	#442	C₂×D₈	1	2	yes	—
1343	#442	C₂×D₈	1	2	yes	—
1344	#442	C₂×D₈	1	2	yes	—
1345	#442	C₂×D₈	1	2	yes	—
1346	#442	C₂×D₈	1	2	yes	—
1347	#442	C₂×D₈	1	2	yes	—
1348	#442	C₂×D₈	1	2	yes	—
1349	#442	C₂×D₈	1	2	yes	—
1350	#440	C₂×D₈	1	2	yes	—
1351	#440	C₂×D₈	1	2	yes	—
1352	#440	C₂×D₈	1	2	yes	—
1353	#440	C₂×D₈	1	2	yes	—
1354	#440	C₂×D₈	1	2	yes	—
1355	#440	C₂×D₈	1	2	yes	—
1356	#440	C₂×D₈	1	2	yes	—
1357	#440	C₂×D₈	1	2	yes	—
1358	C₄×Q₁₆	C₂²×D₄	1	1	yes	characteristic
1359	C₄×Q₁₆	C₂²×D₄	1	1	yes	characteristic
1360	C₄×Q₁₆	C₂²×D₄	1	1	yes	characteristic
1361	C₄×Q₁₆	C₂²×D₄	1	1	yes	characteristic
1362	C₄×Q₁₆	C₂²×D₄	1	1	yes	characteristic
1363	C₄×Q₁₆	C₂²×D₄	1	1	yes	characteristic
1364	C₄×Q₁₆	C₂⁵	1	1	yes	characteristic
1365	C₄×Q₁₆	C₂⁵	1	1	yes	characteristic
1366	C₄×SD₁₆	C₂×D₈	1	2	yes	—
1367	C₄×SD₁₆	C₂×D₈	1	2	yes	—
1368	C₄×SD₁₆	C₂×D₈	1	2	yes	—
1369	C₄×SD₁₆	C₂×D₈	1	2	yes	—
1370	C₄×SD₁₆	C₂²×D₄	1	2	yes	—
1371	C₄×SD₁₆	C₂²×D₄	1	2	yes	—
1372	C₄×SD₁₆	C₂²×D₄	1	2	yes	—
1373	C₄×SD₁₆	C₂²×D₄	1	2	yes	—
1374	C₄×D₈	C₂×D₈	1	2	yes	—
1375	C₄×D₈	C₂×D₈	1	2	yes	—
1376	C₄×D₈	C₂×D₈	1	2	yes	—
1377	C₄×D₈	C₂×D₈	1	2	yes	—
1378	C₄×D₈	C₂²×D₄	1	2	yes	—
1379	C₄×D₈	C₂²×D₄	1	1	yes	characteristic
1380	C₄×D₈	C₂²×D₄	1	2	yes	—
1381	C₄×D₈	C₂²×D₄	1	1	yes	characteristic
1382	C₄×D₈	C₂²×D₄	1	1	yes	characteristic
1383	C₄×D₈	C₂²×D₄	1	1	yes	characteristic
1384	C₄×D₈	C₂²×D₄	1	2	yes	—
1385	C₄×D₈	C₂²×D₄	1	2	yes	—
1386	C₄×D₈	C₂²×D₄	1	2	yes	—
1387	C₄×D₈	C₂²×D₄	1	2	yes	—
1388	C₄×D₈	C₂²×D₄	1	1	yes	characteristic
1389	C₄×D₈	C₂²×D₄	1	1	yes	characteristic
1390	C₄×D₈	C₂²×D₄	1	2	yes	—
1391	C₄×D₈	C₂²×D₄	1	2	yes	—
1392	C₄×D₈	C₂²×D₄	1	2	yes	—
1393	C₄×D₈	C₂²×D₄	1	2	yes	—
1394	C₄×D₈	C₂⁵	1	2	yes	—
1395	C₄×D₈	C₂⁵	1	1	yes	characteristic
1396	C₄×D₈	C₂⁵	1	2	yes	—
1397	C₄×D₈	C₂⁵	1	1	yes	characteristic
1398	C₈×D₄	C₂²×D₄	1	1	yes	characteristic
1399	C₈×D₄	C₂²×D₄	1	1	yes	characteristic
1400	C₈×D₄	C₂²×D₄	1	2	yes	—
1401	C₈×D₄	C₂²×D₄	1	2	yes	—
1402	C₈×D₄	C₂²×D₄	1	2	yes	—
1403	C₈×D₄	C₂²×D₄	1	2	yes	—
1404	C₈×D₄	C₂²×D₄	1	2	yes	—
1405	C₈×D₄	C₂²×D₄	1	2	yes	—
1406	C₈×D₄	C₂²×D₄	1	1	yes	characteristic
1407	C₈×D₄	C₂²×D₄	1	1	yes	characteristic
1408	C₈×D₄	C₂²×D₄	1	1	yes	characteristic
1409	C₈×D₄	C₂²×D₄	1	1	yes	characteristic
1410	C₈×D₄	C₂⁵	1	1	yes	characteristic
1411	C₈×D₄	C₂⁵	1	1	yes	characteristic
1412	C₈×D₄	C₂⁵	1	2	yes	—
1413	C₈×D₄	C₂⁵	1	2	yes	—
1414	#431	C₂²×D₄	1	1	yes	characteristic
1415	#431	C₂²×D₄	1	1	yes	characteristic
1416	#431	C₂²×D₄	1	1	yes	characteristic
1417	#431	C₂²×D₄	1	1	yes	characteristic
1418	#431	C₂²×D₄	1	1	yes	characteristic
1419	#431	C₂²×D₄	1	2	yes	—
1420	#431	C₂²×D₄	1	1	yes	characteristic
1421	#428	C₂×D₈	1	1	yes	characteristic
1422	#428	C₂×D₈	1	1	yes	characteristic
1423	#428	C₂×D₈	1	2	yes	—
1424	#428	C₂×D₈	1	2	yes	—
1425	#428	C₂×D₈	1	1	yes	characteristic
1426	#428	C₂×D₈	1	1	yes	characteristic
1427	#427	C₂²×D₄	1	1	yes	characteristic
1428	#427	C₂²×D₄	1	1	yes	characteristic
1429	#427	C₂²×D₄	1	1	yes	characteristic
1430	#427	C₂²×D₄	1	1	yes	characteristic
1431	C₂×#107	C₂×D₈	1	2	yes	—
1432	C₂×#107	C₂²×D₄	1	2	yes	—
1433	C₂×#107	C₂²×D₄	1	2	yes	—
1434	C₂×#107	C₂²×D₄	1	1	yes	characteristic
1435	C₂×#107	C₂²×D₄	1	1	yes	characteristic
1436	C₂×#107	C₂²×D₄	1	1	yes	characteristic
1437	C₂×#107	C₂²×D₄	1	1	yes	characteristic
1438	C₂×#106	C₂×D₈	1	2	yes	—
1439	C₂×C₄⋊C₈	C₂²×D₄	1	1	yes	characteristic
1440	C₂×C₄⋊C₈	C₂²×D₄	1	1	yes	characteristic
1441	C₂×C₄⋊C₈	C₂²×D₄	1	2	yes	—
1442	C₂×C₄⋊C₈	C₂²×D₄	1	1	yes	characteristic
1443	C₂×C₄⋊C₈	C₂²×D₄	1	1	yes	characteristic
1444	C₂×C₄⋊C₈	C₂²×D₄	1	2	yes	—
1445	#418	C₂×D₈	1	1	yes	characteristic
1446	#418	C₂×D₈	1	1	yes	characteristic
1447	#418	C₂×D₈	1	1	yes	characteristic
1448	#418	C₂×D₈	1	1	yes	characteristic
1449	#418	C₂×D₈	1	2	yes	—
1450	#418	C₂×D₈	1	2	yes	—
1451	#417	C₂×D₈	1	2	yes	—
1452	#417	C₂×D₈	1	2	yes	—
1453	#417	C₂×D₈	1	1	yes	characteristic
1454	#417	C₂×D₈	1	1	yes	characteristic
1455	#417	C₂×D₈	1	1	yes	characteristic
1456	#417	C₂×D₈	1	1	yes	characteristic
1457	C₂×#103	C₂×D₈	1	2	yes	—
1458	C₂×#102	C₂×D₈	1	2	yes	—
1459	C₂×#102	C₂×D₈	1	2	yes	—
1460	C₂×#102	C₂×D₈	1	2	yes	—
1461	C₄×M₁₆	C₂×D₈	1	1	yes	characteristic
1462	C₄×M₁₆	C₂×D₈	1	2	yes	—
1463	C₄×M₁₆	C₂×D₈	1	1	yes	characteristic
1464	C₄×M₁₆	C₂²×D₄	1	1	yes	characteristic
1465	C₄×M₁₆	C₂²×D₄	1	1	yes	characteristic
1466	C₄×M₁₆	C₂²×D₄	1	2	yes	—
1467	C₂×#97	C₂×D₈	1	2	yes	—
1468	C₂×C₄×C₈	C₂²×D₄	1	2	yes	—
1469	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
1470	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
1471	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
1472	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
1473	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
1474	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
1475	C₂×C₄×C₈	C₂²×D₄	1	2	yes	—
1476	C₂×C₄×C₈	H(5,𝔽₂)	1	1	yes	characteristic
1477	C₂×C₄×C₈	H(5,𝔽₂)	1	1	yes	characteristic
1478	C₂×C₄×C₈	H(5,𝔽₂)	1	1	yes	characteristic
1479	C₂×C₄×C₈	C₂⁵	1	1	yes	characteristic
1480	C₂×C₄×C₈	C₂⁵	1	1	yes	characteristic
1481	C₂×C₄×C₈	C₂⁵	1	1	yes	characteristic
1482	#367	C₂²×D₄	1	2	yes	—
1483	#367	C₂²×D₄	1	2	yes	—
1484	#367	C₂²×D₄	1	2	yes	—
1485	#367	C₂²×D₄	1	2	yes	—
1486	#366	C₂²×D₄	1	2	yes	—
1487	#366	C₂²×D₄	1	2	yes	—
1488	#366	C₂²×D₄	1	2	yes	—
1489	#366	C₂²×D₄	1	2	yes	—
1490	C₄⋊C₁₆	C₂⁵	1	2	yes	—
1491	C₄⋊C₁₆	C₂⁵	1	2	yes	—
1492	C₄⋊C₁₆	C₂⁵	1	4	yes	—
1493	#358	C₂²×D₄	1	2	yes	—
1494	#358	C₂²×D₄	1	2	yes	—
1495	#358	C₂²×D₄	1	2	yes	—
1496	#358	C₂²×D₄	1	2	yes	—
1497	#357	C₂²×D₄	1	2	yes	—
1498	#357	C₂²×D₄	1	2	yes	—
1499	#357	C₂²×D₄	1	2	yes	—
1500	#357	C₂²×D₄	1	2	yes	—
1501	#357	C₂²×D₄	1	2	yes	—
1502	#357	C₂²×D₄	1	2	yes	—
1503	#357	C₂²×D₄	1	2	yes	—
1504	#357	C₂²×D₄	1	2	yes	—
1505	#357	C₂²×D₄	1	2	yes	—
1506	#357	C₂²×D₄	1	2	yes	—
1507	#357	C₂²×D₄	1	2	yes	—
1508	#357	C₂²×D₄	1	2	yes	—
1509	#346	C₂²×D₄	1	2	yes	—
1510	#346	C₂²×D₄	1	2	yes	—
1511	#346	C₂²×D₄	1	2	yes	—
1512	#346	C₂²×D₄	1	2	yes	—
1513	C₄×C₁₆	C₂²×D₄	1	2	yes	—
1514	C₄×C₁₆	C₂²×D₄	1	2	yes	—
1515	C₄×C₁₆	C₂⁵	1	4	yes	—
1516	C₄×C₁₆	C₂⁵	1	2	yes	—
1517	C₄×C₁₆	C₂⁵	1	2	yes	—
1518	#335	C₂²×D₄	1	2	yes	—
1519	#335	C₂²×D₄	1	2	yes	—
1520	#335	C₂²×D₄	1	2	yes	—
1521	#335	C₂²×D₄	1	2	yes	—
1522	#335	C₂⁵	1	4	yes	—
1523	#335	C₂⁵	1	2	yes	—
1524	#335	C₂⁵	1	2	yes	—
1525	#334	C₂²×D₄	1	2	yes	—
1526	#334	C₂²×D₄	1	2	yes	—
1527	#334	C₂²×D₄	1	2	yes	—
1528	#334	C₂²×D₄	1	2	yes	—
1529	Q₈⋊C₈	C₂²×D₄	1	2	yes	—
1530	Q₈⋊C₈	C₂²×D₄	1	2	yes	—
1531	Q₈⋊C₈	C₂²×D₄	1	2	yes	—
1532	Q₈⋊C₈	C₂²×D₄	1	2	yes	—
1533	D₄⋊C₈	C₂²×D₄	1	2	yes	—
1534	D₄⋊C₈	C₂²×D₄	1	2	yes	—
1535	D₄⋊C₈	C₂²×D₄	1	2	yes	—
1536	D₄⋊C₈	C₂²×D₄	1	2	yes	—
1537	D₄⋊C₈	C₂²×D₄	1	2	yes	—
1538	D₄⋊C₈	C₂²×D₄	1	2	yes	—
1539	D₄⋊C₈	C₂²×D₄	1	2	yes	—
1540	D₄⋊C₈	C₂²×D₄	1	2	yes	—
1541	D₄⋊C₈	C₂²×D₄	1	2	yes	—
1542	D₄⋊C₈	C₂²×D₄	1	2	yes	—
1543	D₄⋊C₈	C₂²×D₄	1	2	yes	—
1544	D₄⋊C₈	C₂²×D₄	1	2	yes	—
1545	#322	C₂²×D₄	1	2	yes	—
1546	#322	C₂²×D₄	1	2	yes	—
1547	#322	C₂²×D₄	1	2	yes	—
1548	#322	C₂²×D₄	1	2	yes	—
1549	C₈²	C₂²×D₄	1	2	yes	—
1550	C₈²	C₂²×D₄	1	2	yes	—
1551	C₈²	C₂⁵	1	2	yes	—
1552	C₈²	C₂⁵	1	2	yes	—
1553	C₂×#41	C₂²×D₈	1	1	yes	characteristic
1554	C₂×#41	C₂²×D₈	1	1	yes	characteristic
1555	C₂×#41	C₂²×D₈	1	1	yes	characteristic
1556	C₂×#41	C₂²×D₈	1	1	yes	characteristic
1557	C₂²×Q₈	C₂²×D₈	1	1	yes	characteristic
1558	C₂²×D₄	C₂²×D₈	1	1	yes	characteristic
1559	C₂²×D₄	C₂²×D₈	1	2	yes	—
1560	C₂²×D₄	C₂²×D₈	1	2	yes	—
1561	C₂²×D₄	C₂²×D₈	1	1	yes	characteristic
1562	C₂²×D₄	C₂²×D₈	1	1	yes	characteristic
1563	C₂³×C₄	D₄²	1	1	yes	characteristic
1564	C₂³×C₄	C₂²×D₈	1	1	yes	characteristic
1565	C₂³×C₄	#576	1	1	yes	characteristic
1566	AGL(1,ℤ/8)	#509	1	8	yes	direct product factor
1567	#135	C₂×AGL(1,ℤ/8)	1	4	yes	complemented
1568	C₂×Q₁₆	C₂³×D₄	1	1	yes	characteristic
1569	C₂×Q₁₆	C₂³×D₄	1	1	yes	characteristic
1570	C₂×SD₁₆	C₂²×D₈	1	2	yes	—
1571	C₂×SD₁₆	C₂²×D₈	1	2	yes	—
1572	C₂×SD₁₆	C₂²×D₈	1	2	yes	—
1573	C₂×SD₁₆	C₂²×D₈	1	2	yes	—
1574	C₂×D₈	C₂²×D₈	1	2	yes	—
1575	C₂×D₈	C₂²×D₈	1	2	yes	—
1576	C₂×D₈	C₂²×D₈	1	2	yes	—
1577	C₂×D₈	C₂²×D₈	1	2	yes	—
1578	C₂×D₈	C₂×AGL(1,ℤ/8)	1	4	yes	complemented
1579	C₂×D₈	C₂³×D₄	1	2	yes	—
1580	C₂×D₈	C₂³×D₄	1	1	yes	characteristic
1581	C₂×D₈	C₂³×D₄	1	2	yes	—
1582	C₂×D₈	C₂³×D₄	1	1	yes	characteristic
1583	C₂×M₁₆	C₂²×D₈	1	1	yes	characteristic
1584	C₂×M₁₆	C₂²×D₈	1	2	yes	—
1585	C₂×M₁₆	C₂²×D₈	1	1	yes	characteristic
1586	C₂×M₁₆	C₂²×D₈	1	1	yes	characteristic
1587	C₂×M₁₆	C₂²×D₈	1	2	yes	—
1588	C₂×M₁₆	C₂²×D₈	1	1	yes	characteristic
1589	C₂²×C₈	D₄²	1	1	yes	characteristic
1590	C₂²×C₈	D₄²	1	1	yes	characteristic
1591	C₂²×C₈	D₄²	1	1	yes	characteristic
1592	C₂²×C₈	D₄²	1	1	yes	characteristic
1593	C₂²×C₈	D₄²	1	1	yes	characteristic
1594	C₂²×C₈	D₄²	1	1	yes	characteristic
1595	C₂²×C₈	C₂²×D₈	1	2	yes	—
1596	C₂²×C₈	C₂²×D₈	1	2	yes	—
1597	C₂²×C₈	C₂³×D₄	1	1	yes	characteristic
1598	C₂²×C₈	C₂³×D₄	1	1	yes	characteristic
1599	C₂²×C₈	C₂³×D₄	1	1	yes	characteristic
1600	C₂²×C₈	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1601	C₂²×C₈	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1602	C₂²×C₈	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1603	C₄×Q₈	C₂²×D₈	1	1	yes	characteristic
1604	C₄×Q₈	C₂²×D₈	1	1	yes	characteristic
1605	C₄×Q₈	C₂²×D₈	1	1	yes	characteristic
1606	C₄×Q₈	C₂²×D₈	1	1	yes	characteristic
1607	C₄×Q₈	C₂²×D₈	1	1	yes	characteristic
1608	C₄×Q₈	C₂²×D₈	1	1	yes	characteristic
1609	C₄×Q₈	C₂³×D₄	1	1	yes	characteristic
1610	C₄×Q₈	C₂³×D₄	1	1	yes	characteristic
1611	C₄×D₄	C₂²×D₈	1	2	yes	—
1612	C₄×D₄	C₂²×D₈	1	2	yes	—
1613	C₄×D₄	C₂²×D₈	1	1	yes	characteristic
1614	C₄×D₄	C₂²×D₈	1	1	yes	characteristic
1615	C₄×D₄	C₂²×D₈	1	2	yes	—
1616	C₄×D₄	C₂²×D₈	1	2	yes	—
1617	C₄×D₄	C₂²×D₈	1	2	yes	—
1618	C₄×D₄	C₂²×D₈	1	2	yes	—
1619	C₄×D₄	C₂²×D₈	1	1	yes	characteristic
1620	C₄×D₄	C₂²×D₈	1	1	yes	characteristic
1621	C₄×D₄	C₂²×D₈	1	1	yes	characteristic
1622	C₄×D₄	C₂²×D₈	1	1	yes	characteristic
1623	C₄×D₄	C₂³×D₄	1	2	yes	—
1624	C₄×D₄	C₂³×D₄	1	2	yes	—
1625	C₄×D₄	C₂³×D₄	1	1	yes	characteristic
1626	C₄×D₄	C₂³×D₄	1	1	yes	characteristic
1627	#117	C₂²×D₈	1	1	yes	characteristic
1628	#117	C₂²×D₈	1	1	yes	characteristic
1629	#117	C₂²×D₈	1	1	yes	characteristic
1630	#117	C₂²×D₈	1	1	yes	characteristic
1631	C₂×C₄⋊C₄	C₂²×D₈	1	1	yes	characteristic
1632	C₂×C₄⋊C₄	C₂²×D₈	1	1	yes	characteristic
1633	C₂×C₄⋊C₄	C₂²×D₈	1	2	yes	—
1634	C₂×C₄⋊C₄	C₂²×D₈	1	2	yes	—
1635	C₂×C₄⋊C₄	C₂²×D₈	1	1	yes	characteristic
1636	C₂×C₄⋊C₄	C₂²×D₈	1	1	yes	characteristic
1637	C₂×C₄²	D₄²	1	1	yes	characteristic
1638	C₂×C₄²	D₄²	1	1	yes	characteristic
1639	C₂×C₄²	D₄²	1	1	yes	characteristic
1640	C₂×C₄²	C₂²×D₈	1	1	yes	characteristic
1641	C₂×C₄²	C₂²×D₈	1	1	yes	characteristic
1642	C₂×C₄²	C₂²×D₈	1	1	yes	characteristic
1643	C₂×C₄²	#576	1	1	yes	characteristic
1644	C₂×C₄²	#576	1	1	yes	characteristic
1645	C₂×C₄²	#576	1	1	yes	characteristic
1646	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1647	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1648	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1649	SD₃₂	C₂×AGL(1,ℤ/8)	1	8	yes	complemented
1650	D₁₆	C₂×AGL(1,ℤ/8)	1	8	yes	complemented
1651	M₃₂	C₂×AGL(1,ℤ/8)	1	4	yes	complemented
1652	C₂×C₁₆	C₂³×D₄	1	2	yes	—
1653	C₂×C₁₆	C₂³×D₄	1	2	yes	—
1654	C₂×C₁₆	C₂³×D₄	1	2	yes	—
1655	C₂×C₁₆	C₂³×D₄	1	2	yes	—
1656	#107	C₂²×D₈	1	2	yes	—
1657	#107	C₂²×D₈	1	2	yes	—
1658	#107	C₂²×D₈	1	2	yes	—
1659	#107	C₂²×D₈	1	2	yes	—
1660	#107	C₂³×D₄	1	1	yes	characteristic
1661	#107	C₂³×D₄	1	1	yes	characteristic
1662	#107	C₂³×D₄	1	1	yes	characteristic
1663	#107	C₂³×D₄	1	1	yes	characteristic
1664	#107	C₂³×D₄	1	2	yes	—
1665	#107	C₂³×D₄	1	2	yes	—
1666	#106	C₂²×D₈	1	2	yes	—
1667	#106	C₂²×D₈	1	2	yes	—
1668	#106	C₂²×D₈	1	2	yes	—
1669	#106	C₂²×D₈	1	2	yes	—
1670	C₄⋊C₈	C₂³×D₄	1	1	yes	characteristic
1671	C₄⋊C₈	C₂³×D₄	1	1	yes	characteristic
1672	C₄⋊C₈	C₂³×D₄	1	1	yes	characteristic
1673	C₄⋊C₈	C₂³×D₄	1	1	yes	characteristic
1674	C₄⋊C₈	C₂³×D₄	1	2	yes	—
1675	C₄⋊C₈	C₂³×D₄	1	2	yes	—
1676	#103	C₂²×D₈	1	2	yes	—
1677	#103	C₂²×D₈	1	2	yes	—
1678	#103	C₂²×D₈	1	2	yes	—
1679	#103	C₂²×D₈	1	2	yes	—
1680	#102	C₂²×D₈	1	2	yes	—
1681	#102	C₂²×D₈	1	2	yes	—
1682	#102	C₂²×D₈	1	2	yes	—
1683	#102	C₂²×D₈	1	2	yes	—
1684	#102	C₂²×D₈	1	2	yes	—
1685	#102	C₂²×D₈	1	2	yes	—
1686	#102	C₂²×D₈	1	2	yes	—
1687	#102	C₂²×D₈	1	2	yes	—
1688	#102	C₂²×D₈	1	2	yes	—
1689	#102	C₂²×D₈	1	2	yes	—
1690	#102	C₂²×D₈	1	2	yes	—
1691	#102	C₂²×D₈	1	2	yes	—
1692	#97	C₂²×D₈	1	2	yes	—
1693	#97	C₂²×D₈	1	2	yes	—
1694	#97	C₂²×D₈	1	2	yes	—
1695	#97	C₂²×D₈	1	2	yes	—
1696	C₄×C₈	D₄²	1	1	yes	characteristic
1697	C₄×C₈	D₄²	1	1	yes	characteristic
1698	C₄×C₈	D₄²	1	1	yes	characteristic
1699	C₄×C₈	D₄²	1	1	yes	characteristic
1700	C₄×C₈	D₄²	1	1	yes	characteristic
1701	C₄×C₈	D₄²	1	1	yes	characteristic
1702	C₄×C₈	C₂²×D₈	1	2	yes	—
1703	C₄×C₈	C₂²×D₈	1	2	yes	—
1704	C₄×C₈	C₂³×D₄	1	2	yes	—
1705	C₄×C₈	C₂³×D₄	1	2	yes	—
1706	C₄×C₈	C₂³×D₄	1	1	yes	characteristic
1707	C₄×C₈	C₂³×D₄	1	1	yes	characteristic
1708	C₄×C₈	C₂³×D₄	1	1	yes	characteristic
1709	C₄×C₈	C₂³×D₄	1	2	yes	—
1710	C₄×C₈	C₂³×D₄	1	2	yes	—
1711	C₄×C₈	C₂³×D₄	1	1	yes	characteristic
1712	C₄×C₈	C₂³×D₄	1	1	yes	characteristic
1713	C₄×C₈	C₂³×D₄	1	1	yes	characteristic
1714	C₄×C₈	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1715	C₄×C₈	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1716	C₄×C₈	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1717	C₄×C₈	C₂⁶	1	1	yes	characteristic
1718	C₂⁴	D₄×D₈	1	1	yes	characteristic
1719	#41	C₂×#509	1	4	yes	complemented
1720	C₂×Q₈	C₂³×D₈	1	1	yes	characteristic
1721	C₂×Q₈	C₂³×D₈	1	1	yes	characteristic
1722	C₂×D₄	C₂×#509	1	4	yes	complemented
1723	C₂×D₄	C₂³×D₈	1	1	yes	characteristic
1724	C₂×D₄	C₂³×D₈	1	2	yes	—
1725	C₂×D₄	C₂³×D₈	1	2	yes	—
1726	C₂×D₄	C₂³×D₈	1	1	yes	characteristic
1727	C₂²×C₄	D₄×D₈	1	1	yes	characteristic
1728	C₂²×C₄	D₄×D₈	1	1	yes	characteristic
1729	C₂²×C₄	D₄×D₈	1	1	yes	characteristic
1730	C₂²×C₄	D₄×D₈	1	1	yes	characteristic
1731	C₂²×C₄	D₄×D₈	1	1	yes	characteristic
1732	C₂²×C₄	D₄×D₈	1	1	yes	characteristic
1733	C₂²×C₄	D₄×D₈	1	1	yes	characteristic
1734	C₂²×C₄	D₄×D₈	1	1	yes	characteristic
1735	C₂²×C₄	D₄×D₈	1	1	yes	characteristic
1736	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1737	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1738	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1739	C₂²×C₄	C₂³×D₈	1	1	yes	characteristic
1740	C₂²×C₄	C₂³×D₈	1	1	yes	characteristic
1741	C₂²×C₄	C₂³×D₈	1	1	yes	characteristic
1742	C₂²×C₄	C₂×#576	1	1	yes	characteristic
1743	C₂²×C₄	C₂×#576	1	1	yes	characteristic
1744	C₂²×C₄	C₂×#576	1	1	yes	characteristic
1745	Q₁₆	C₂²×AGL(1,ℤ/8)	1	2	yes	complemented
1746	SD₁₆	C₂×#509	1	8	yes	complemented
1747	D₈	C₂×#509	1	8	yes	complemented
1748	D₈	C₂²×AGL(1,ℤ/8)	1	4	yes	—
1749	D₈	C₂²×AGL(1,ℤ/8)	1	2	yes	complemented
1750	M₁₆	C₂×#509	1	4	yes	complemented
1751	C₂×C₈	C₂×D₄²	1	1	yes	characteristic
1752	C₂×C₈	C₂×D₄²	1	1	yes	characteristic
1753	C₂×C₈	C₂×D₄²	1	1	yes	characteristic
1754	C₂×C₈	C₂×D₄²	1	1	yes	characteristic
1755	C₂×C₈	C₂×D₄²	1	1	yes	characteristic
1756	C₂×C₈	C₂×D₄²	1	1	yes	characteristic
1757	C₂×C₈	C₂³×D₈	1	2	yes	—
1758	C₂×C₈	C₂³×D₈	1	2	yes	—
1759	C₂×C₈	C₂³×D₈	1	2	yes	—
1760	C₂×C₈	C₂³×D₈	1	2	yes	—
1761	C₂×C₈	C₂²×AGL(1,ℤ/8)	1	2	yes	—
1762	C₂×C₈	#3585	1	2	yes	—
1763	C₂×C₈	C₂⁴×D₄	1	1	yes	characteristic
1764	C₂×C₈	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1765	C₄⋊C₄	C₂³×D₈	1	1	yes	characteristic
1766	C₄⋊C₄	C₂³×D₈	1	1	yes	characteristic
1767	C₄⋊C₄	C₂³×D₈	1	1	yes	characteristic
1768	C₄⋊C₄	C₂³×D₈	1	1	yes	characteristic
1769	C₄⋊C₄	C₂³×D₈	1	2	yes	—
1770	C₄⋊C₄	C₂³×D₈	1	2	yes	—
1771	C₄²	D₄×D₈	1	1	yes	characteristic
1772	C₄²	D₄×D₈	1	1	yes	characteristic
1773	C₄²	D₄×D₈	1	1	yes	characteristic
1774	C₄²	D₄×D₈	1	1	yes	characteristic
1775	C₄²	D₄×D₈	1	1	yes	characteristic
1776	C₄²	D₄×D₈	1	1	yes	characteristic
1777	C₄²	C₂×D₄²	1	1	yes	characteristic
1778	C₄²	C₂×D₄²	1	1	yes	characteristic
1779	C₄²	C₂×D₄²	1	1	yes	characteristic
1780	C₄²	C₂³×D₈	1	1	yes	characteristic
1781	C₄²	C₂³×D₈	1	1	yes	characteristic
1782	C₄²	C₂³×D₈	1	1	yes	characteristic
1783	C₄²	C₂×#576	1	1	yes	characteristic
1784	C₄²	C₂×#576	1	1	yes	characteristic
1785	C₄²	C₂×#576	1	1	yes	characteristic
1786	C₄²	C₂⁴×D₄	1	1	yes	characteristic
1787	C₁₆	C₂²×AGL(1,ℤ/8)	1	4	yes	complemented
1788	C₂³	C₂×D₄×D₈	1	1	yes	characteristic
1789	C₂³	C₂×D₄×D₈	1	1	yes	characteristic
1790	C₂³	C₂×D₄×D₈	1	1	yes	characteristic
1791	Q₈	C₂²×#509	1	2	yes	complemented
1792	D₄	C₂²×#509	1	4	yes	—
1793	D₄	C₂²×#509	1	2	yes	complemented
1794	C₂×C₄	C₂×D₄×D₈	1	1	yes	characteristic
1795	C₂×C₄	C₂×D₄×D₈	1	1	yes	characteristic
1796	C₂×C₄	C₂×D₄×D₈	1	1	yes	characteristic
1797	C₂×C₄	C₂×D₄×D₈	1	1	yes	characteristic
1798	C₂×C₄	C₂×D₄×D₈	1	1	yes	characteristic
1799	C₂×C₄	C₂×D₄×D₈	1	1	yes	characteristic
1800	C₂×C₄	C₂×D₄×D₈	1	1	yes	characteristic
1801	C₂×C₄	C₂×D₄×D₈	1	1	yes	characteristic
1802	C₂×C₄	C₂×D₄×D₈	1	1	yes	characteristic
1803	C₂×C₄	D₄×AGL(1,ℤ/8)	1	2	yes	—
1804	C₂×C₄	#61106	1	2	yes	—
1805	C₂×C₄	C₂²×#509	1	2	yes	—
1806	C₂×C₄	#62636	1	2	yes	—
1807	C₂×C₄	C₂²×D₄²	1	1	yes	characteristic
1808	C₂×C₄	C₂⁴×D₈	1	1	yes	characteristic
1809	C₂×C₄	C₂²×#576	1	1	yes	characteristic
1810	C₈	D₄×AGL(1,ℤ/8)	1	2	yes	—
1811	C₈	C₂²×#509	1	4	yes	complemented
1812	C₈	C₂³×AGL(1,ℤ/8)	1	1	yes	characteristic
1813	C₈	C₂×#3585	1	1	yes	characteristic
1814	C₂²	D₈×AGL(1,ℤ/8)	1	2	yes	—
1815	C₂²	D₄×#509	1	2	yes	—
1816	C₂²	C₂²×D₄×D₈	1	1	yes	characteristic
1817	C₄	D₈×AGL(1,ℤ/8)	1	2	yes	—
1818	C₄	D₄×#509	1	2	yes	—
1819	C₄	C₂×D₄×AGL(1,ℤ/8)	1	1	yes	characteristic
1820	C₄	C₂×#61106	1	1	yes	characteristic
1821	C₄	C₂³×#509	1	1	yes	characteristic
1822	C₄	C₂×#62636	1	1	yes	characteristic
1823	C₂	C₂×D₈×AGL(1,ℤ/8)	1	1	yes	characteristic
1824	C₂	C₂×D₄×#509	1	1	yes	characteristic
1825	C₂	#72285648	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂²×D₄×D₈
commutator, Frattini, cosocle	C₄×C₈	C₂⁶
LCS	G ▷ C₄×C₈ ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂²×C₄² ◁ C₂×C₈×AGL(1,ℤ/8) ◁ G
LECS	G ▷ C₄×C₈ ▷ C₂×C₄ ▷ C₂ ▷ C₁

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #72342611	C₂	semidirect
2. #72342610	C₂	semidirect
3. M₁₆×#509	C₂	semidirect
4. #72342608	C₂	semidirect
5. #72342607	C₂	semidirect
6. #72342606	C₂	semidirect
7. #72342605	C₂	semidirect
8. #72342604	C₂	semidirect
9. #72342603	C₂	semidirect
10. #72342602	C₂	semidirect
11. #72342601	C₂	semidirect
12. #72342600	C₂	semidirect
13. #72342599	C₂	semidirect
14. D₁₆×AGL(1,ℤ/8)	C₂	semidirect
15. SD₃₂×AGL(1,ℤ/8)	C₂	semidirect
16. #72342596	C₂	semidirect
17. #72342595	C₂	semidirect
18. #72342594	C₂	semidirect
19. #72342593	C₂	semidirect
20. #72342556	C₂	semidirect
21. #72342546	C₂	semidirect
22. SD₁₆×#509	C₂	semidirect
23. #72342481	C₂	semidirect
24. #72342468	C₂	semidirect
25. #72342446	C₂	semidirect
26. #72342437	C₂	semidirect
27. #72342416	C₂	semidirect
28. #41×#509	C₂	semidirect
29. #135×AGL(1,ℤ/8)	C₂	semidirect
30. M₃₂×AGL(1,ℤ/8)	C₂	semidirect
31. #72309570	C₂	semidirect
32. C₂×D₄×#509	C₂	semidirect
33. C₂×D₈×AGL(1,ℤ/8)	C₂	semidirect
34. #72264986	C₂	semidirect
35. D₈×#509	C₂	semidirect
36. #41×#135	C₂²	semidirect
37. C₂×D₈×#41	C₂²	semidirect
38. C₂×D₄×#135	C₂²	semidirect
39. C₂²×D₄×D₈	C₂²	semidirect
40. #7624075	C₂²	semidirect
41. #7624074	C₂²	semidirect
42. #7624013	C₂²	semidirect
43. #7624012	C₂²	semidirect
44. #7623998	C₂²	semidirect
45. #7623996	C₂²	semidirect
46. #41×SD₃₂	C₂²	semidirect
47. #41×D₁₆	C₂²	semidirect
48. #7623961	C₂²	semidirect
49. Q₈×#509	C₂²	semidirect
50. #7623880	C₂²	semidirect
51. #7623876	C₂²	semidirect
52. #7623811	C₂²	semidirect
53. #7623720	C₂²	semidirect
54. #7623714	C₂²	semidirect
56. D₄×#509	C₂²	semidirect
57. D₄×#509	C₂²	semidirect
58. D₄×#509	C₂²	semidirect
59. D₄×#509	C₂²	semidirect
60. D₄×#509	C₂²	semidirect
61. D₄×#509	C₂²	semidirect
62. C₂×D₄×SD₃₂	C₂²	semidirect
63. C₂×D₄×D₁₆	C₂²	semidirect
64. C₂×#33840	C₂²	semidirect
65. C₂×#33838	C₂²	semidirect
66. #7623358	C₂²	semidirect
67. #7623353	C₂²	semidirect
68. #7623255	C₂²	semidirect
69. C₂×#33717	C₂²	semidirect
70. #7623099	C₂²	semidirect
71. #7623096	C₂²	semidirect
72. C₂×#33582	C₂²	semidirect
73. C₂×#33580	C₂²	semidirect
74. #41×M₃₂	C₂²	semidirect
76. C₂×D₄×M₃₂	C₂²	semidirect
77. #6358832	C₂²	semidirect
78. #6358830	C₂²	semidirect
79. #6358820	C₂²	semidirect
80. #6358818	C₂²	semidirect
81. #6358796	C₂²	semidirect
82. #6358790	C₂²	semidirect
83. #6358777	C₂²	semidirect
84. #6358770	C₂²	semidirect
85. Q₁₆×AGL(1,ℤ/8)	C₂²	semidirect
86. #6358743	C₂²	semidirect
87. #6358736	C₂²	semidirect
89. D₈×AGL(1,ℤ/8)	C₂²	semidirect
90. D₈×AGL(1,ℤ/8)	C₂²	semidirect
91. D₈×AGL(1,ℤ/8)	C₂²	semidirect
92. D₈×AGL(1,ℤ/8)	C₂²	semidirect
93. D₈×AGL(1,ℤ/8)	C₂²	semidirect
94. D₈×AGL(1,ℤ/8)	C₂²	semidirect
95. SD₁₆×#135	C₂²	semidirect
96. D₈×#135	C₂²	semidirect
97. C₂×D₈×SD₁₆	C₂²	semidirect
98. C₂×D₈²	C₂²	semidirect
99. #6358344	C₂²	semidirect
100. #6358342	C₂²	semidirect
101. C₂×#19885	C₂²	semidirect
102. C₂×#19883	C₂²	semidirect
103. #6357137	C₂²	semidirect
104. C₂×#19629	C₂²	semidirect
105. #6353901	C₂²	semidirect
106. C₂×#19267	C₂²	semidirect
107. #6353889	C₂²	semidirect
108. C₂×#19255	C₂²	semidirect
109. M₁₆×#135	C₂²	semidirect
110. C₂×M₁₆×D₈	C₂²	semidirect
112. #492605	C₂²	semidirect
113. #492604	C₂²	semidirect
114. #492595	C₂²	semidirect
115. #492594	C₂²	semidirect
116. #492588	C₂²	semidirect
117. #492586	C₂²	semidirect
118. SD₁₆×SD₃₂	C₂²	semidirect
119. SD₁₆×D₁₆	C₂²	semidirect
120. D₈×SD₃₂	C₂²	semidirect
121. D₈×D₁₆	C₂²	semidirect
122. #492514	C₂²	semidirect
123. #492512	C₂²	semidirect
124. #492505	C₂²	semidirect
125. #492505	C₂²	semidirect
126. #492504	C₂²	semidirect
127. #492504	C₂²	semidirect
128. #492327	C₂²	semidirect
129. #492326	C₂²	semidirect
130. #492317	C₂²	semidirect
131. #492316	C₂²	semidirect
132. #492310	C₂²	semidirect
133. #492308	C₂²	semidirect
134. #492297	C₂²	semidirect
135. #492296	C₂²	semidirect
136. #492255	C₂²	semidirect
137. #492254	C₂²	semidirect
138. #492245	C₂²	semidirect
139. #492244	C₂²	semidirect
140. #492238	C₂²	semidirect
141. #492236	C₂²	semidirect
142. #492225	C₂²	semidirect
143. #492224	C₂²	semidirect
144. #491833	C₂²	semidirect
145. #491830	C₂²	semidirect
146. #491828	C₂²	semidirect
147. #491825	C₂²	semidirect
148. #491816	C₂²	semidirect
149. #491814	C₂²	semidirect
150. #491812	C₂²	semidirect
151. #491808	C₂²	semidirect
152. #491801	C₂²	semidirect
153. #491794	C₂²	semidirect
154. #491793	C₂²	semidirect
155. #491792	C₂²	semidirect
156. #491784	C₂²	semidirect
157. #491778	C₂²	semidirect
158. #491776	C₂²	semidirect
159. #491776	C₂²	semidirect
160. #491769	C₂²	semidirect
161. #491766	C₂²	semidirect
162. #491764	C₂²	semidirect
163. #491761	C₂²	semidirect
164. #491752	C₂²	semidirect
165. #491750	C₂²	semidirect
166. #491748	C₂²	semidirect
167. #491744	C₂²	semidirect
168. #491737	C₂²	semidirect
169. #491730	C₂²	semidirect
170. #491729	C₂²	semidirect
171. #491728	C₂²	semidirect
172. #491720	C₂²	semidirect
173. #491714	C₂²	semidirect
174. #491712	C₂²	semidirect
175. #491712	C₂²	semidirect
176. #491576	C₂²	semidirect
177. #491572	C₂²	semidirect
178. #491567	C₂²	semidirect
179. #491565	C₂²	semidirect
180. #491560	C₂²	semidirect
181. #491556	C₂²	semidirect
182. #491519	C₂²	semidirect
183. #491517	C₂²	semidirect
184. #491469	C₂²	semidirect
185. #491437	C₂²	semidirect
186. #491165	C₂²	semidirect
187. #491163	C₂²	semidirect
188. #491161	C₂²	semidirect
189. #491159	C₂²	semidirect
190. #491157	C₂²	semidirect
191. #491155	C₂²	semidirect
192. #491111	C₂²	semidirect
193. #491109	C₂²	semidirect
194. #491101	C₂²	semidirect
195. #491097	C₂²	semidirect
196. #491089	C₂²	semidirect
197. #491085	C₂²	semidirect
198. #490797	C₂²	semidirect
199. #490793	C₂²	semidirect
200. #490790	C₂²	semidirect
201. #490789	C₂²	semidirect
202. #490781	C₂²	semidirect
203. #490781	C₂²	semidirect
204. #490780	C₂²	semidirect
205. #490779	C₂²	semidirect
206. #490778	C₂²	semidirect
207. #490777	C₂²	semidirect
208. #490777	C₂²	semidirect
209. #490777	C₂²	semidirect
210. #490720	C₂²	semidirect
211. #490718	C₂²	semidirect
212. #490695	C₂²	semidirect
213. #490693	C₂²	semidirect
214. #490594	C₂²	semidirect
215. #490594	C₂²	semidirect
216. #490574	C₂²	semidirect
217. #490572	C₂²	semidirect
218. #490543	C₂²	semidirect
219. #490472	C₂²	semidirect
220. #490472	C₂²	semidirect
221. #490472	C₂²	semidirect
222. #490455	C₂²	semidirect
223. #490453	C₂²	semidirect
224. #490430	C₂²	semidirect
225. #490428	C₂²	semidirect
226. #489963	C₂²	semidirect
227. #489963	C₂²	semidirect
228. #489961	C₂²	semidirect
229. #489959	C₂²	semidirect
230. #489957	C₂²	semidirect
231. #489955	C₂²	semidirect
232. #489937	C₂²	semidirect
233. #489935	C₂²	semidirect
234. #489933	C₂²	semidirect
235. #489932	C₂²	semidirect
236. #489932	C₂²	semidirect
237. #489931	C₂²	semidirect
238. #489931	C₂²	semidirect
239. #489931	C₂²	semidirect
240. #489706	C₂²	semidirect
241. #489705	C₂²	semidirect
242. #489705	C₂²	semidirect
243. #489701	C₂²	semidirect
244. #489696	C₂²	semidirect
245. #489696	C₂²	semidirect
246. #489694	C₂²	semidirect
247. #489693	C₂²	semidirect
248. #489692	C₂²	semidirect
249. #489691	C₂²	semidirect
250. #489691	C₂²	semidirect
251. #489691	C₂²	semidirect
252. #489174	C₂²	semidirect
253. #489170	C₂²	semidirect
254. #489039	C₂²	semidirect
255. #489036	C₂²	semidirect
256. #488994	C₂²	semidirect
257. #488990	C₂²	semidirect
258. #488949	C₂²	semidirect
259. #488949	C₂²	semidirect
260. #488945	C₂²	semidirect
261. #488945	C₂²	semidirect
262. #488893	C₂²	semidirect
263. #488893	C₂²	semidirect
264. #488893	C₂²	semidirect
265. #488889	C₂²	semidirect
266. #488889	C₂²	semidirect
267. #488889	C₂²	semidirect
268. #484077	C₂²	semidirect
269. #484075	C₂²	semidirect
270. #484073	C₂²	semidirect
271. #484069	C₂²	semidirect
272. M₁₆×SD₃₂	C₂²	semidirect
273. M₁₆×D₁₆	C₂²	semidirect
274. #483824	C₂²	semidirect
275. #483786	C₂²	semidirect
276. #483784	C₂²	semidirect
277. #483639	C₂²	semidirect
278. #483635	C₂²	semidirect
279. #483627	C₂²	semidirect
280. #483626	C₂²	semidirect
281. #483619	C₂²	semidirect
282. C₁₆×AGL(1,ℤ/8)	C₂²	semidirect
283. #483603	C₂²	semidirect
284. #483567	C₂²	semidirect
285. SD₁₆×M₃₂	C₂²	semidirect
286. D₈×M₃₂	C₂²	semidirect
287. C₈×#509	C₂²	semidirect
288. #483406	C₂²	semidirect
289. #483356	C₂²	semidirect
290. #483180	C₂²	semidirect
291. #483176	C₂²	semidirect
292. #483124	C₂²	semidirect
293. #483121	C₂²	semidirect
294. #481267	C₂²	semidirect
295. #481264	C₂²	semidirect
296. #481160	C₂²	semidirect
297. #481116	C₂²	semidirect
298. M₁₆×M₃₂	C₂²	semidirect
300. #61436	C₂³	semidirect
301. #61435	C₂³	semidirect
302. #61433	C₂³	semidirect
303. #61431	C₂³	semidirect
304. #61430	C₂³	semidirect
305. Q₁₆×#41	C₂³	semidirect
306. #61427	C₂³	semidirect
309. D₈×#41	C₂³	semidirect
310. D₈×#41	C₂³	semidirect
311. D₈×#41	C₂³	semidirect
312. #61393	C₂³	semidirect
313. C₂×#3391	C₂³	semidirect
314. Q₈×#135	C₂³	semidirect
315. C₂×Q₈×D₈	C₂³	semidirect
316. #61234	C₂³	semidirect
317. C₂×#3334	C₂³	semidirect
320. D₄×#135	C₂³	semidirect
321. D₄×#135	C₂³	semidirect
322. D₄×#135	C₂³	semidirect
323. C₂×#3287	C₂³	semidirect
324. C₂×D₄×Q₁₆	C₂³	semidirect
325. C₂×#3283	C₂³	semidirect
331. C₂×D₄×D₈	C₂³	semidirect
332. C₂×D₄×D₈	C₂³	semidirect
342. #33966	C₂³	semidirect
343. #33964	C₂³	semidirect
344. #33959	C₂³	semidirect
345. #33958	C₂³	semidirect
346. #33953	C₂³	semidirect
347. #33951	C₂³	semidirect
348. Q₈×SD₃₂	C₂³	semidirect
349. Q₈×D₁₆	C₂³	semidirect
350. #33940	C₂³	semidirect
351. #33935	C₂³	semidirect
352. #33934	C₂³	semidirect
353. #33933	C₂³	semidirect
354. #33929	C₂³	semidirect
355. #33926	C₂³	semidirect
356. #33925	C₂³	semidirect
357. #33925	C₂³	semidirect
358. #33921	C₂³	semidirect
359. #33920	C₂³	semidirect
360. #33902	C₂³	semidirect
361. #33901	C₂³	semidirect
362. #33899	C₂³	semidirect
363. #33897	C₂³	semidirect
364. #33892	C₂³	semidirect
365. #33891	C₂³	semidirect
366. #33865	C₂³	semidirect
367. #33862	C₂³	semidirect
368. #33861	C₂³	semidirect
369. #33861	C₂³	semidirect
372. D₄×SD₃₂	C₂³	semidirect
373. D₄×SD₃₂	C₂³	semidirect
374. D₄×SD₃₂	C₂³	semidirect
377. D₄×D₁₆	C₂³	semidirect
378. D₄×D₁₆	C₂³	semidirect
379. D₄×D₁₆	C₂³	semidirect
382. #33840	C₂³	semidirect
383. #33840	C₂³	semidirect
384. #33840	C₂³	semidirect
387. #33838	C₂³	semidirect
388. #33838	C₂³	semidirect
389. #33838	C₂³	semidirect
390. #33774	C₂³	semidirect
391. #33774	C₂³	semidirect
392. #33773	C₂³	semidirect
393. #33772	C₂³	semidirect
394. #33771	C₂³	semidirect
395. #33771	C₂³	semidirect
396. #33771	C₂³	semidirect
397. #33751	C₂³	semidirect
398. #33748	C₂³	semidirect
399. #33736	C₂³	semidirect
400. #33733	C₂³	semidirect
401. #33731	C₂³	semidirect
404. #33717	C₂³	semidirect
405. #33717	C₂³	semidirect
406. #33717	C₂³	semidirect
407. #33717	C₂³	semidirect
408. C₂×#2248	C₂³	semidirect
409. C₂×#2246	C₂³	semidirect
410. #33707	C₂³	semidirect
411. #33707	C₂³	semidirect
412. #33704	C₂³	semidirect
413. #33704	C₂³	semidirect
414. #33675	C₂³	semidirect
415. #33675	C₂³	semidirect
416. #33670	C₂³	semidirect
417. #33669	C₂³	semidirect
418. #33663	C₂³	semidirect
421. #33660	C₂³	semidirect
422. #33629	C₂³	semidirect
423. #33629	C₂³	semidirect
424. #33627	C₂³	semidirect
425. #33627	C₂³	semidirect
428. #33582	C₂³	semidirect
429. #33582	C₂³	semidirect
430. #33582	C₂³	semidirect
431. #33582	C₂³	semidirect
435. #33580	C₂³	semidirect
436. #33580	C₂³	semidirect
437. C₂×#2207	C₂³	semidirect
440. C₂×#2206	C₂³	semidirect
441. #33485	C₂³	semidirect
442. #33484	C₂³	semidirect
443. #33479	C₂³	semidirect
444. C₁₆×#41	C₂³	semidirect
445. Q₈×M₃₂	C₂³	semidirect
446. Q₈×M₃₂	C₂³	semidirect
465. D₄×M₃₂	C₂³	semidirect
466. D₄×M₃₂	C₂³	semidirect
467. D₄×M₃₂	C₂³	semidirect
468. C₂×#2169	C₂³	semidirect
469. C₂×D₄×C₁₆	C₂³	semidirect
477. #19986	C₂³	semidirect
478. #19985	C₂³	semidirect
479. SD₁₆×Q₁₆	C₂³	semidirect
480. #19983	C₂³	semidirect
481. #19980	C₂³	semidirect
482. #19979	C₂³	semidirect
483. #19976	C₂³	semidirect
484. #19975	C₂³	semidirect
485. D₈×Q₁₆	C₂³	semidirect
486. #19973	C₂³	semidirect
487. #19973	C₂³	semidirect
488. #19971	C₂³	semidirect
491. D₈×SD₁₆	C₂³	semidirect
492. D₈×SD₁₆	C₂³	semidirect
493. D₈×SD₁₆	C₂³	semidirect
494. #19968	C₂³	semidirect
495. #19968	C₂³	semidirect
498. D₈²	C₂³	semidirect
499. D₈²	C₂³	semidirect
500. D₈²	C₂³	semidirect
501. #19962	C₂³	semidirect
502. #19960	C₂³	semidirect
503. #19955	C₂³	semidirect
504. #19953	C₂³	semidirect
505. #19943	C₂³	semidirect
506. #19937	C₂³	semidirect
507. #19935	C₂³	semidirect
508. #19933	C₂³	semidirect
509. #19928	C₂³	semidirect
510. #19926	C₂³	semidirect
511. #19908	C₂³	semidirect
512. #19902	C₂³	semidirect
513. #19900	C₂³	semidirect
514. #19898	C₂³	semidirect
517. #19885	C₂³	semidirect
518. #19885	C₂³	semidirect
519. #19885	C₂³	semidirect
522. #19883	C₂³	semidirect
523. #19883	C₂³	semidirect
524. #19883	C₂³	semidirect
525. #19647	C₂³	semidirect
526. #19645	C₂³	semidirect
527. #19639	C₂³	semidirect
528. #19635	C₂³	semidirect
529. #19632	C₂³	semidirect
532. #19629	C₂³	semidirect
533. #19629	C₂³	semidirect
534. #19603	C₂³	semidirect
535. C₂×#1712	C₂³	semidirect
536. #19596	C₂³	semidirect
537. C₂×#1706	C₂³	semidirect
538. #19269	C₂³	semidirect
539. #19269	C₂³	semidirect
540. #19268	C₂³	semidirect
541. #19268	C₂³	semidirect
544. #19267	C₂³	semidirect
545. #19267	C₂³	semidirect
546. #19267	C₂³	semidirect
547. #19267	C₂³	semidirect
548. #19259	C₂³	semidirect
549. #19258	C₂³	semidirect
550. #19256	C₂³	semidirect
551. #19256	C₂³	semidirect
555. #19255	C₂³	semidirect
556. #19255	C₂³	semidirect
557. #19114	C₂³	semidirect
558. C₂×#1668	C₂³	semidirect
562. #19101	C₂³	semidirect
564. C₂×#1667	C₂³	semidirect
565. #18039	C₂³	semidirect
566. M₁₆×Q₁₆	C₂³	semidirect
567. M₁₆×Q₁₆	C₂³	semidirect
568. #18035	C₂³	semidirect
571. M₁₆×D₈	C₂³	semidirect
572. M₁₆×D₈	C₂³	semidirect
573. M₁₆×D₈	C₂³	semidirect
574. #17886	C₂³	semidirect
575. C₂×#1589	C₂³	semidirect
590. C₈×#135	C₂³	semidirect
593. C₂×C₈×D₈	C₂³	semidirect
600. #12529	C₂³	semidirect
601. #12529	C₂³	semidirect
602. #12527	C₂³	semidirect
603. #12527	C₂³	semidirect
604. #12526	C₂³	semidirect
605. #12525	C₂³	semidirect
606. #12525	C₂³	semidirect
607. #12525	C₂³	semidirect
608. #12519	C₂³	semidirect
609. #12519	C₂³	semidirect
610. #12517	C₂³	semidirect
611. #12515	C₂³	semidirect
612. #12508	C₂³	semidirect
613. #12506	C₂³	semidirect
614. #12505	C₂³	semidirect
615. #12503	C₂³	semidirect
616. #12495	C₂³	semidirect
617. #12495	C₂³	semidirect
618. #12493	C₂³	semidirect
619. #12492	C₂³	semidirect
620. #12492	C₂³	semidirect
621. #12491	C₂³	semidirect
622. #12491	C₂³	semidirect
623. #12491	C₂³	semidirect
624. #12489	C₂³	semidirect
625. #12487	C₂³	semidirect
626. #12485	C₂³	semidirect
627. #12484	C₂³	semidirect
628. #12484	C₂³	semidirect
629. #12483	C₂³	semidirect
630. #12483	C₂³	semidirect
631. #12483	C₂³	semidirect
632. #12474	C₂³	semidirect
633. #12472	C₂³	semidirect
634. #12471	C₂³	semidirect
635. #12471	C₂³	semidirect
636. #12470	C₂³	semidirect
637. #12468	C₂³	semidirect
638. #12467	C₂³	semidirect
639. #12467	C₂³	semidirect
640. #12456	C₂³	semidirect
641. #12454	C₂³	semidirect
642. #12453	C₂³	semidirect
643. #12451	C₂³	semidirect
644. #12444	C₂³	semidirect
645. #12444	C₂³	semidirect
646. #12442	C₂³	semidirect
647. #12442	C₂³	semidirect
648. #12441	C₂³	semidirect
649. #12441	C₂³	semidirect
650. #12439	C₂³	semidirect
651. #12439	C₂³	semidirect
652. #12435	C₂³	semidirect
653. #12435	C₂³	semidirect
654. #12435	C₂³	semidirect
655. #12433	C₂³	semidirect
656. #12433	C₂³	semidirect
657. #12433	C₂³	semidirect
658. #12432	C₂³	semidirect
659. #12432	C₂³	semidirect
660. #12432	C₂³	semidirect
661. #12430	C₂³	semidirect
662. #12430	C₂³	semidirect
663. #12430	C₂³	semidirect
664. #12428	C₂³	semidirect
665. #12428	C₂³	semidirect
666. #12426	C₂³	semidirect
667. #12425	C₂³	semidirect
668. #12425	C₂³	semidirect
669. #12424	C₂³	semidirect
670. #12424	C₂³	semidirect
671. #12424	C₂³	semidirect
672. #12422	C₂³	semidirect
673. #12420	C₂³	semidirect
674. #12418	C₂³	semidirect
675. #12417	C₂³	semidirect
676. #12417	C₂³	semidirect
677. #12416	C₂³	semidirect
678. #12416	C₂³	semidirect
679. #12416	C₂³	semidirect
681. #12372	C₂³	semidirect
682. #12372	C₂³	semidirect
683. #12372	C₂³	semidirect
684. #12371	C₂³	semidirect
685. #12371	C₂³	semidirect
686. #12370	C₂³	semidirect
687. #12370	C₂³	semidirect
688. #12369	C₂³	semidirect
689. #12369	C₂³	semidirect
691. #12368	C₂³	semidirect
692. #12368	C₂³	semidirect
693. #12368	C₂³	semidirect
694. #12368	C₂³	semidirect
695. #12368	C₂³	semidirect
696. #12356	C₂³	semidirect
697. #12356	C₂³	semidirect
698. #12355	C₂³	semidirect
699. #12354	C₂³	semidirect
700. #12353	C₂³	semidirect
701. #12352	C₂³	semidirect
702. #12352	C₂³	semidirect
703. #12352	C₂³	semidirect
704. #12344	C₂³	semidirect
705. #12344	C₂³	semidirect
706. #12343	C₂³	semidirect
707. #12342	C₂³	semidirect
708. #12341	C₂³	semidirect
709. #12340	C₂³	semidirect
710. #12340	C₂³	semidirect
711. #12340	C₂³	semidirect
712. #12332	C₂³	semidirect
713. #12332	C₂³	semidirect
714. #12331	C₂³	semidirect
715. #12330	C₂³	semidirect
716. #12329	C₂³	semidirect
717. #12328	C₂³	semidirect
718. #12328	C₂³	semidirect
719. #12328	C₂³	semidirect
721. #12320	C₂³	semidirect
722. #12320	C₂³	semidirect
723. #12320	C₂³	semidirect
724. #12320	C₂³	semidirect
725. #12320	C₂³	semidirect
726. #12319	C₂³	semidirect
727. #12319	C₂³	semidirect
728. #12319	C₂³	semidirect
729. #12318	C₂³	semidirect
730. #12318	C₂³	semidirect
731. #12318	C₂³	semidirect
732. #12317	C₂³	semidirect
733. #12317	C₂³	semidirect
734. #12317	C₂³	semidirect
736. #12316	C₂³	semidirect
737. #12316	C₂³	semidirect
738. #12316	C₂³	semidirect
739. #12316	C₂³	semidirect
740. #12316	C₂³	semidirect
741. #12316	C₂³	semidirect
742. #12316	C₂³	semidirect
743. #12316	C₂³	semidirect
744. #12086	C₂³	semidirect
745. #12084	C₂³	semidirect
746. #12082	C₂³	semidirect
747. #12081	C₂³	semidirect
748. #12075	C₂³	semidirect
749. #12074	C₂³	semidirect
750. #12073	C₂³	semidirect
751. #12073	C₂³	semidirect
752. #12071	C₂³	semidirect
753. #12070	C₂³	semidirect
754. #12069	C₂³	semidirect
755. #12069	C₂³	semidirect
756. #12064	C₂³	semidirect
757. #12063	C₂³	semidirect
758. #12063	C₂³	semidirect
759. #12062	C₂³	semidirect
760. #12058	C₂³	semidirect
761. #12057	C₂³	semidirect
762. #12056	C₂³	semidirect
763. SD₁₆⋊C₁₆	C₂³	semidirect
764. #12051	C₂³	semidirect
765. #12050	C₂³	semidirect
766. #12049	C₂³	semidirect
767. C₁₆×SD₁₆	C₂³	semidirect
768. #12045	C₂³	semidirect
769. #12043	C₂³	semidirect
770. C₈×SD₃₂	C₂³	semidirect
771. C₈×D₁₆	C₂³	semidirect
772. #12039	C₂³	semidirect
773. #12038	C₂³	semidirect
774. #12038	C₂³	semidirect
775. C₁₆×D₈	C₂³	semidirect
776. #12025	C₂³	semidirect
777. #12023	C₂³	semidirect
778. #12022	C₂³	semidirect
779. #12017	C₂³	semidirect
780. #12015	C₂³	semidirect
781. #12015	C₂³	semidirect
782. #12009	C₂³	semidirect
783. #12009	C₂³	semidirect
784. #12004	C₂³	semidirect
785. #11996	C₂³	semidirect
786. #11988	C₂³	semidirect
787. #11986	C₂³	semidirect
788. #11985	C₂³	semidirect
789. #11983	C₂³	semidirect
790. #11981	C₂³	semidirect
791. #11981	C₂³	semidirect
792. #11981	C₂³	semidirect
793. #11966	C₂³	semidirect
794. #11964	C₂³	semidirect
795. #11962	C₂³	semidirect
796. #11961	C₂³	semidirect
797. #11961	C₂³	semidirect
798. #11961	C₂³	semidirect
799. #11942	C₂³	semidirect
800. #11940	C₂³	semidirect
801. #11931	C₂³	semidirect
802. #11931	C₂³	semidirect
803. #11931	C₂³	semidirect
804. #11930	C₂³	semidirect
805. #11930	C₂³	semidirect
806. #11930	C₂³	semidirect
807. #11661	C₂³	semidirect
808. #11660	C₂³	semidirect
809. #11660	C₂³	semidirect
810. #11658	C₂³	semidirect
813. #11657	C₂³	semidirect
814. #11631	C₂³	semidirect
815. #11629	C₂³	semidirect
816. #11629	C₂³	semidirect
817. #11623	C₂³	semidirect
818. #11623	C₂³	semidirect
819. #11621	C₂³	semidirect
820. #11621	C₂³	semidirect
821. #11607	C₂³	semidirect
822. #11593	C₂³	semidirect
823. #11593	C₂³	semidirect
824. #11592	C₂³	semidirect
825. #11592	C₂³	semidirect
828. #11583	C₂³	semidirect
829. #11409	C₂³	semidirect
830. #11408	C₂³	semidirect
831. C₁₆×M₁₆	C₂³	semidirect
832. #11402	C₂³	semidirect
833. C₈×M₃₂	C₂³	semidirect
849. #3396	C₂⁴	semidirect
850. #3395	C₂⁴	semidirect
851. #3393	C₂⁴	semidirect
854. #3391	C₂⁴	semidirect
855. #3383	C₂⁴	semidirect
856. Q₈×Q₁₆	C₂⁴	semidirect
857. #3380	C₂⁴	semidirect
860. Q₈×D₈	C₂⁴	semidirect
861. #3342	C₂⁴	semidirect
862. #3341	C₂⁴	semidirect
863. #3338	C₂⁴	semidirect
866. #3334	C₂⁴	semidirect
869. #3287	C₂⁴	semidirect
872. D₄×Q₁₆	C₂⁴	semidirect
875. #3283	C₂⁴	semidirect
884. D₄×D₈	C₂⁴	semidirect
968. #2254	C₂⁴	semidirect
969. #2252	C₂⁴	semidirect
973. #2248	C₂⁴	semidirect
974. #2248	C₂⁴	semidirect
978. #2246	C₂⁴	semidirect
979. #2246	C₂⁴	semidirect
980. #2241	C₂⁴	semidirect
981. #2241	C₂⁴	semidirect
984. #2240	C₂⁴	semidirect
985. #2240	C₂⁴	semidirect
986. #2240	C₂⁴	semidirect
987. #2240	C₂⁴	semidirect
990. #2225	C₂⁴	semidirect
991. #2225	C₂⁴	semidirect
994. #2224	C₂⁴	semidirect
995. #2224	C₂⁴	semidirect
1002. #2207	C₂⁴	semidirect
1003. #2207	C₂⁴	semidirect
1010. #2206	C₂⁴	semidirect
1011. #2206	C₂⁴	semidirect
1012. #2183	C₂⁴	semidirect
1013. #2183	C₂⁴	semidirect
1014. Q₈×C₁₆	C₂⁴	semidirect
1015. Q₈×C₁₆	C₂⁴	semidirect
1050. #2169	C₂⁴	semidirect
1051. #2169	C₂⁴	semidirect
1054. D₄×C₁₆	C₂⁴	semidirect
1055. D₄×C₁₆	C₂⁴	semidirect
1098. #1713	C₂⁴	semidirect
1101. #1712	C₂⁴	semidirect
1102. #1709	C₂⁴	semidirect
1103. #1709	C₂⁴	semidirect
1104. #1707	C₂⁴	semidirect
1105. #1707	C₂⁴	semidirect
1108. #1706	C₂⁴	semidirect
1109. #1706	C₂⁴	semidirect
1116. #1670	C₂⁴	semidirect
1117. #1670	C₂⁴	semidirect
1120. #1669	C₂⁴	semidirect
1121. #1669	C₂⁴	semidirect
1124. #1668	C₂⁴	semidirect
1125. #1668	C₂⁴	semidirect
1132. #1667	C₂⁴	semidirect
1133. #1667	C₂⁴	semidirect
1134. #1591	C₂⁴	semidirect
1135. #1591	C₂⁴	semidirect
1138. #1589	C₂⁴	semidirect
1139. #1589	C₂⁴	semidirect
1156. C₈×Q₁₆	C₂⁴	semidirect
1157. C₈×Q₁₆	C₂⁴	semidirect
1176. C₈×D₈	C₂⁴	semidirect
1177. C₈×D₈	C₂⁴	semidirect
1217. #1372	C₂⁴	semidirect
1218. #1372	C₂⁴	semidirect
1219. #1371	C₂⁴	semidirect
1220. #1371	C₂⁴	semidirect
1221. #1370	C₂⁴	semidirect
1222. #1370	C₂⁴	semidirect
1223. #1367	C₂⁴	semidirect
1224. #1367	C₂⁴	semidirect
1225. #1365	C₂⁴	semidirect
1226. #1364	C₂⁴	semidirect
1227. #1364	C₂⁴	semidirect
1228. #1364	C₂⁴	semidirect
1229. #1362	C₂⁴	semidirect
1230. #1362	C₂⁴	semidirect
1231. #1362	C₂⁴	semidirect
1236. #1361	C₂⁴	semidirect
1237. #1361	C₂⁴	semidirect
1238. #1361	C₂⁴	semidirect
1239. #1361	C₂⁴	semidirect
1240. #1361	C₂⁴	semidirect
1241. Q₈⋊C₁₆	C₂⁴	semidirect
1242. Q₈⋊C₁₆	C₂⁴	semidirect
1243. #1332	C₂⁴	semidirect
1244. #1332	C₂⁴	semidirect
1249. #1331	C₂⁴	semidirect
1250. #1331	C₂⁴	semidirect
1255. D₄⋊C₁₆	C₂⁴	semidirect
1256. D₄⋊C₁₆	C₂⁴	semidirect
1257. #1312	C₂⁴	semidirect
1258. #1312	C₂⁴	semidirect
1259. #1311	C₂⁴	semidirect
1260. C₈×C₁₆	C₂⁴	semidirect
1308. #509	AGL(1,ℤ/8)	direct (N × H)
1566. AGL(1,ℤ/8)	#509	direct (N × H)
1567. #135	C₂×AGL(1,ℤ/8)	semidirect
1578. C₂×D₈	C₂×AGL(1,ℤ/8)	semidirect
1649. SD₃₂	C₂×AGL(1,ℤ/8)	semidirect
1650. D₁₆	C₂×AGL(1,ℤ/8)	semidirect
1651. M₃₂	C₂×AGL(1,ℤ/8)	semidirect
1719. #41	C₂×#509	semidirect
1722. C₂×D₄	C₂×#509	semidirect
1745. Q₁₆	C₂²×AGL(1,ℤ/8)	semidirect
1746. SD₁₆	C₂×#509	semidirect
1747. D₈	C₂×#509	semidirect
1749. D₈	C₂²×AGL(1,ℤ/8)	semidirect
1750. M₁₆	C₂×#509	semidirect
1787. C₁₆	C₂²×AGL(1,ℤ/8)	semidirect
1791. Q₈	C₂²×#509	semidirect
1793. D₄	C₂²×#509	semidirect
1811. C₈	C₂²×#509	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#72342611	2
#72342610	2
M₁₆×#509	2
#72342608	2
#72342607	2
#72342606	2
#72342605	2
#72342604	2
#72342603	2
#72342602	2
#72342601	2
#72342600	2
#72342599	2
D₁₆×AGL(1,ℤ/8)	2
SD₃₂×AGL(1,ℤ/8)	2
#72342596	2
#72342595	2
#72342594	2
#72342593	2
#72342556	2
#72342546	2
SD₁₆×#509	2
#72342481	2
#72342468	2
#72342446	2
#72342437	2
#72342416	2
#41×#509	2
#135×AGL(1,ℤ/8)	2
M₃₂×AGL(1,ℤ/8)	2
#72309570	2
C₂×D₄×#509	2
C₂×D₈×AGL(1,ℤ/8)	2
#72264986	2
D₈×#509	2