Subgroups — #72316226

Order 2048.

At least 7177 conjugacy classes of subgroups; only the 8604 normal subgroups are shown.

The subgroup lattice has 1402 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72316225	C₂	1	1	yes	maximal, characteristic, complemented
2	#72316224	C₂	1	1	yes	maximal, characteristic, complemented
3	#72316222	C₂	1	2	yes	maximal, complemented
4	#72316221	C₂	1	2	yes	maximal, complemented
5	#72316220	C₂	1	2	yes	maximal, complemented
6	#72316219	C₂	1	2	yes	maximal, complemented
7	#72316218	C₂	1	1	yes	maximal, characteristic, complemented
8	#72316215	C₂	1	1	yes	maximal, characteristic, complemented
9	#72316150	C₂	1	4	yes	maximal, complemented
10	#72315937	C₂	1	16	yes	maximal, complemented
11	#72315839	C₂	1	4	yes	maximal, complemented
12	C₂×#10579229	C₂	1	1	yes	maximal, characteristic
13	#99×AGL(1,ℤ/8)	C₂	1	16	yes	maximal, complemented
14	C₂×#6385980	C₂	1	1	yes	maximal, characteristic, complemented
15	#72306648	C₂	1	4	yes	maximal, complemented
16	#72306555	C₂	1	4	yes	maximal, complemented
17	#72279835	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#62800	C₂²	1	1	yes	characteristic
19	C₂²×#3498	C₂²	1	1	yes	characteristic
20	C₂×#62453	C₄	1	4	yes	complemented
21	C₂×#62447	C₄	1	4	yes	complemented
22	C₂×#62447	C₂²	1	8	yes	—
23	C₂×#62423	C₄	1	4	yes	complemented
24	C₂×#62423	C₂²	1	2	yes	—
25	C₂×#62421	C₄	1	4	yes	complemented
26	C₂×#62421	C₂²	1	2	yes	—
27	C₂×#62415	C₂²	1	2	yes	—
28	C₂×#62413	C₂²	1	2	yes	—
29	C₂×#61402	C₄	1	4	yes	complemented
30	C₂×D₄×AGL(1,ℤ/8)	C₄	1	4	yes	complemented
31	C₂×D₄×AGL(1,ℤ/8)	C₂²	1	8	yes	—
32	C₂×#60803	C₄	1	2	yes	complemented
33	C₂×#60803	C₂²	1	1	yes	characteristic
34	C₂×#60798	C₄	1	2	yes	complemented
35	C₂×#60798	C₂²	1	1	yes	characteristic
36	C₂×#60700	C₄	1	2	yes	complemented
37	C₂×#60700	C₂²	1	1	yes	characteristic
38	C₂²×#3151	C₄	1	2	yes	complemented
39	C₂²×#3151	C₂²	1	1	yes	characteristic
40	C₂×M₁₆×#41	C₂²	1	1	yes	characteristic
41	#7625966	C₂²	1	2	yes	complemented
42	C₂×#34364	C₂²	1	2	yes	complemented
43	#6389887	C₂²	1	16	yes	complemented
44	#6389868	C₂²	1	8	yes	complemented
45	#6389867	C₂²	1	8	yes	complemented
46	#6386373	C₂²	1	8	yes	complemented
47	#6386295	C₂²	1	2	yes	complemented
48	#6386226	C₂²	1	2	yes	complemented
49	#6386116	C₂²	1	2	yes	complemented
50	#6385980	C₂²	1	4	yes	—
51	#6385980	C₂²	1	8	yes	complemented
52	#6385980	C₂²	1	4	yes	complemented
53	#6385980	C₂²	1	2	yes	complemented
54	#41×#99	C₂²	1	8	yes	complemented
55	C₂²⋊C₄×AGL(1,ℤ/8)	C₂²	1	16	yes	complemented
56	C₂×D₄×#99	C₂²	1	8	yes	complemented
57	#6374578	C₂²	1	2	yes	complemented
58	#6374310	C₂²	1	2	yes	complemented
59	#6374304	C₂²	1	2	yes	complemented
60	C₂×#21794	C₂²	1	2	yes	complemented
61	#6371210	C₂²	1	2	yes	complemented
62	#6370937	C₂²	1	1	yes	characteristic
63	C₂×#20723	C₂²	1	1	yes	characteristic
64	C₂×#20723	C₂²	1	1	yes	characteristic
65	#6370009	C₂²	1	2	yes	complemented
66	#6343377	C₂²	1	2	yes	complemented
67	#6343372	C₂²	1	2	yes	complemented
68	#6342561	C₂²	1	1	yes	characteristic
69	SD₁₆×#99	C₂²	1	32	yes	complemented
70	D₈×#99	C₂²	1	32	yes	complemented
71	#220265	C₂²	1	64	yes	complemented
72	#220264	C₂²	1	64	yes	complemented
73	#220245	C₂²	1	32	yes	complemented
74	#220244	C₂²	1	32	yes	complemented
75	#205799	C₂²	1	16	yes	complemented
76	#205797	C₂²	1	16	yes	complemented
77	#205755	C₂²	1	8	yes	complemented
78	#205753	C₂²	1	8	yes	complemented
79	#198487	C₂²	1	8	yes	complemented
80	#198480	C₂²	1	8	yes	complemented
81	#198480	C₂²	1	8	yes	complemented
82	#198477	C₂²	1	8	yes	complemented
83	#198456	C₂²	1	16	yes	complemented
84	#198447	C₂²	1	16	yes	complemented
85	#198416	C₂²	1	16	yes	complemented
86	#198404	C₂²	1	16	yes	complemented
87	#188815	C₂²	1	8	yes	complemented
88	#188814	C₂²	1	8	yes	complemented
89	#188813	C₂²	1	4	yes	complemented
90	#188809	C₂²	1	4	yes	complemented
91	#185669	C₂²	1	2	yes	complemented
92	#185666	C₂²	1	2	yes	complemented
93	#185663	C₂²	1	2	yes	complemented
94	#185660	C₂²	1	4	yes	—
95	#185660	C₂²	1	4	yes	complemented
96	#185660	C₂²	1	2	yes	complemented
97	#185655	C₂²	1	8	yes	complemented
98	#185643	C₂²	1	8	yes	complemented
99	#185641	C₂²	1	8	yes	complemented
100	#185628	C₂²	1	8	yes	complemented
101	#183093	C₂²	1	8	yes	complemented
102	M₁₆×#99	C₂²	1	8	yes	complemented
103	#182085	C₂²	1	4	yes	complemented
104	#182081	C₂²	1	4	yes	complemented
105	#181483	C₂²	1	2	yes	complemented
106	#181239	C₂²	1	2	yes	complemented
107	C₂³×AGL(1,ℤ/8)	C₂×C₄	1	8	yes	complemented
108	C₂³×AGL(1,ℤ/8)	C₂³	1	4	yes	—
109	C₂×#3511	C₂×C₄	1	2	yes	complemented
110	C₂×#3511	C₂³	1	1	yes	characteristic
111	C₂×#3508	C₂×C₄	1	2	yes	complemented
112	C₂×#3508	C₂³	1	1	yes	characteristic
113	C₂×#3503	C₂³	1	1	yes	characteristic
114	C₂×#3498	C₂×C₄	1	4	yes	complemented
115	C₂×#3498	C₂×C₄	1	2	yes	complemented
116	C₂×#3498	C₂×C₄	1	2	yes	complemented
117	C₂×#3498	C₂³	1	4	yes	—
118	C₂×#3498	C₂³	1	2	yes	—
119	C₂×#3498	C₂³	1	2	yes	—
120	C₂×#3498	C₂³	1	1	yes	characteristic
121	C₂×#3517	C₂×C₄	1	2	yes	complemented
122	C₂×#3514	C₂×C₄	1	2	yes	complemented
123	C₂×#3514	C₂³	1	4	yes	—
124	C₂×#3480	C₂×C₄	1	2	yes	complemented
125	C₂×D₄×#41	C₂×C₄	1	2	yes	complemented
126	C₂×D₄×#41	C₂³	1	4	yes	—
127	C₂²×#550	C₂×C₄	1	2	yes	complemented
128	C₂²×D₄²	C₂×C₄	1	2	yes	complemented
129	C₂²×D₄²	C₂³	1	4	yes	—
130	C₂×#3444	C₂×C₄	1	2	yes	complemented
131	C₂×#3444	C₂³	1	1	yes	characteristic
132	C₂²×#532	C₂×C₄	1	2	yes	complemented
133	C₂²×#532	C₂×C₄	1	2	yes	complemented
134	C₂²×#532	C₂³	1	1	yes	characteristic
135	C₂²×#532	C₂³	1	1	yes	characteristic
136	C₂³×#127	C₂×C₄	1	2	yes	complemented
137	C₂³×#127	C₂³	1	1	yes	characteristic
138	C₂²×C₄×#41	C₂³	1	1	yes	characteristic
139	C₂×#3399	C₂×C₄	1	8	yes	complemented
140	C₂×#3399	C₂×C₄	1	16	yes	complemented
141	C₂×#3397	C₂×C₄	1	8	yes	complemented
142	C₂×#3397	C₂×C₄	1	16	yes	complemented
143	C₂×#3392	C₂×C₄	1	8	yes	complemented
144	C₂×#3391	C₂×C₄	1	8	yes	complemented
145	C₂×D₄×SD₁₆	C₂×C₄	1	8	yes	complemented
146	C₂×D₄×SD₁₆	C₂³	1	16	yes	—
147	C₂×D₄×D₈	C₂×C₄	1	8	yes	complemented
148	C₂×D₄×D₈	C₂³	1	16	yes	—
149	C₂×#3274	C₂×C₄	1	8	yes	complemented
150	C₂×#3274	C₂×C₄	1	16	yes	complemented
151	C₂×#3272	C₂×C₄	1	8	yes	complemented
152	C₂×#3272	C₂×C₄	1	16	yes	complemented
153	C₂×#3265	C₂×C₄	1	16	yes	complemented
154	C₂×#3265	C₂×C₄	1	16	yes	complemented
155	C₂×#3265	C₂³	1	16	yes	—
156	C₂×#3264	C₂×C₄	1	16	yes	complemented
157	C₂×#3264	C₂×C₄	1	16	yes	complemented
158	C₂×#3264	C₂³	1	16	yes	—
159	C₂×#3214	C₂×C₄	1	8	yes	complemented
160	C₂×#3214	C₂×C₄	1	4	yes	complemented
161	C₂×#3217	C₂×C₄	1	4	yes	complemented
162	C₂×#3217	C₂×C₄	1	8	yes	complemented
163	C₂×#3217	C₂×C₄	1	8	yes	complemented
164	C₂×#3217	C₂³	1	4	yes	—
165	C₂×#3213	C₂×C₄	1	8	yes	complemented
166	C₂×#3213	C₂³	1	4	yes	—
167	C₂×#3207	C₂×C₄	1	4	yes	complemented
168	C₂×#3207	C₂×C₄	1	4	yes	complemented
169	C₂×#3207	C₂×C₄	1	4	yes	complemented
170	C₂×#3206	C₂×C₄	1	4	yes	complemented
171	C₂×#3206	C₂³	1	2	yes	—
172	C₂×#3208	C₂×C₄	1	2	yes	complemented
173	C₂×#3208	C₂×C₄	1	4	yes	complemented
174	C₂×#3208	C₂×C₄	1	4	yes	complemented
175	C₂×#3208	C₂³	1	2	yes	—
176	C₂×#3205	C₂×C₄	1	2	yes	complemented
177	C₂×#3205	C₂×C₄	1	4	yes	complemented
178	C₂×#3205	C₂×C₄	1	4	yes	complemented
179	C₂×#3205	C₂×C₄	1	4	yes	complemented
180	C₂×#3205	C₂³	1	2	yes	—
181	C₂×#3205	C₂³	1	2	yes	—
182	C₂×#3184	C₂×C₄	1	2	yes	complemented
183	C₂×#3184	C₂×C₄	1	4	yes	complemented
184	C₂×#3182	C₂×C₄	1	2	yes	complemented
185	C₂×#3182	C₂×C₄	1	4	yes	complemented
186	C₂×#3180	C₂×C₄	1	8	yes	complemented
187	C₂×#3180	C₂³	1	4	yes	—
188	C₂×#3171	C₂×C₄	1	4	yes	complemented
189	C₂×#3171	C₂×C₄	1	8	yes	complemented
190	C₂×#3169	C₂×C₄	1	4	yes	complemented
191	C₂×#3169	C₂³	1	2	yes	—
192	C₂×#3167	C₂×C₄	1	4	yes	complemented
193	C₂×#3167	C₂³	1	2	yes	—
194	C₂×#3165	C₂×C₄	1	1	yes	characteristic, complemented
195	C₂×#3151	C₂×C₄	1	4	yes	—
196	C₂×#3151	C₂×C₄	1	2	yes	—
197	C₂×#3151	C₂×C₄	1	2	yes	—
198	C₂×#3151	C₂×C₄	1	4	yes	—
199	C₂×#3151	C₂×C₄	1	4	yes	—
200	C₂×#3151	C₂×C₄	1	2	yes	complemented
201	C₂×#3151	C₂×C₄	1	8	yes	complemented
202	C₂×#3151	C₂×C₄	1	1	yes	characteristic, complemented
203	C₂×#3151	C₂×C₄	1	2	yes	complemented
204	C₂×#3151	C₂×C₄	1	4	yes	complemented
205	C₂×#3151	C₂×C₄	1	4	yes	complemented
206	C₂×#3151	C₂×C₄	1	8	yes	complemented
207	C₂×#3151	D₄	1	8	yes	—
208	C₂×#3151	D₄	1	4	yes	—
209	C₂×#3151	D₄	1	8	yes	—
210	C₂×#3151	D₄	1	8	yes	—
211	C₂×#3151	D₄	1	4	yes	—
212	C₂²×#496	C₂×C₄	1	8	yes	complemented
213	C₂²×#496	C₂³	1	4	yes	—
214	C₂²×#493	C₂×C₄	1	4	yes	complemented
215	C₂²×#493	C₂³	1	2	yes	—
216	C₂²×#492	C₂×C₄	1	4	yes	complemented
217	C₂²×#492	C₂³	1	2	yes	—
218	C₂×#3141	C₂×C₄	1	1	yes	characteristic, complemented
219	C₂×#3141	C₂×C₄	1	2	yes	complemented
220	C₂×#3138	C₂×C₄	1	2	yes	complemented
221	C₂×#3138	C₂×C₄	1	1	yes	characteristic, complemented
222	C₂×#3055	C₂×C₄	1	8	yes	complemented
223	C₂×#3055	C₂³	1	4	yes	—
224	C₂×#3038	C₂×C₄	1	4	yes	complemented
225	C₂×#3038	C₂×C₄	1	8	yes	complemented
226	C₂×#3036	C₂×C₄	1	8	yes	complemented
227	C₂×#3036	C₂×C₄	1	4	yes	complemented
228	C₂×#3006	C₂×C₄	1	8	yes	complemented
229	C₂×#3006	C₂³	1	4	yes	—
230	C₂×#3003	C₂×C₄	1	8	yes	complemented
231	C₂×#3003	C₂³	1	4	yes	—
232	C₂×#2971	C₂×C₄	1	2	yes	complemented
233	C₂×#2970	C₂×C₄	1	2	yes	complemented
234	C₂×#2970	C₂³	1	4	yes	—
235	C₂×#2965	C₂×C₄	1	4	yes	complemented
236	C₂×#2965	C₂³	1	2	yes	—
237	C₂×C₈×#41	C₂³	1	2	yes	—
238	C₂×Q₈×M₁₆	C₂×C₄	1	2	yes	complemented
239	C₂×C₄×AGL(1,ℤ/8)	C₂×C₄	1	4	yes	complemented
240	C₂×C₄×AGL(1,ℤ/8)	C₂×C₄	1	8	yes	complemented
241	C₂×D₄×M₁₆	C₂×C₄	1	2	yes	complemented
242	C₂×D₄×M₁₆	C₂³	1	4	yes	—
243	C₂×#2920	C₂×C₄	1	2	yes	complemented
244	C₂×#2920	C₂³	1	2	yes	—
245	C₂×#2920	C₂³	1	1	yes	characteristic
246	C₂²×C₄×M₁₆	C₂×C₄	1	2	yes	complemented
247	C₂²×C₄×M₁₆	C₂³	1	1	yes	characteristic
248	#34377	C₂³	1	8	yes	complemented
249	#34371	C₂³	1	4	yes	complemented
250	#34364	C₂³	1	8	yes	—
251	#34364	C₂³	1	8	yes	—
252	#34364	C₂³	1	4	yes	complemented
253	C₂²⋊C₄×#41	C₂³	1	8	yes	—
254	C₂×D₄×C₂²⋊C₄	C₂³	1	8	yes	—
255	#34012	C₂³	1	2	yes	—
256	C₂×#2283	C₂³	1	2	yes	—
257	C₂×#2283	C₂³	1	2	yes	—
258	#22534	C₂³	1	16	yes	complemented
259	Q₈×#99	C₂³	1	16	yes	complemented
260	#22476	C₂³	1	16	yes	complemented
261	C₂²⋊C₄×SD₁₆	C₂³	1	32	yes	complemented
262	C₂²⋊C₄×D₈	C₂³	1	32	yes	complemented
263	#22437	C₂³	1	32	yes	complemented
264	#22436	C₂³	1	32	yes	complemented
265	D₄×#99	C₂³	1	32	yes	—
266	D₄×#99	C₂³	1	32	yes	—
267	D₄×#99	C₂³	1	16	yes	complemented
268	#21875	C₂³	1	8	yes	complemented
269	#21826	C₂³	1	4	yes	complemented
270	#21811	C₂³	1	4	yes	complemented
271	#21810	C₂³	1	8	yes	—
272	#21810	C₂³	1	4	yes	complemented
273	#21806	C₂³	1	8	yes	complemented
274	#21803	C₂³	1	8	yes	—
275	#21794	C₂³	1	8	yes	—
276	#21794	C₂³	1	8	yes	—
277	#21794	C₂³	1	4	yes	complemented
278	#21420	C₂³	1	8	yes	—
279	C₂×#1964	C₂³	1	8	yes	—
280	#20823	C₂³	1	8	yes	complemented
281	#20818	C₂³	1	8	yes	complemented
282	#20723	D₄	1	2	yes	—
283	#20723	D₄	1	2	yes	—
284	#20723	D₄	1	4	yes	—
285	#20723	C₂³	1	2	yes	—
286	#20723	C₂³	1	4	yes	—
287	#20723	C₂³	1	2	yes	—
288	#20723	C₂³	1	4	yes	—
289	#20723	C₂³	1	2	yes	—
290	#20723	C₂³	1	2	yes	—
291	#20723	C₂³	1	2	yes	—
292	#20723	C₂³	1	2	yes	—
293	#20722	C₂³	1	4	yes	—
294	C₂×#1820	D₄	1	2	yes	—
295	#20661	C₂³	1	8	yes	—
296	#20632	C₂³	1	4	yes	—
297	C₂×#1799	D₄	1	4	yes	—
298	C₂×#1799	C₂³	1	4	yes	—
299	#20601	C₂³	1	8	yes	—
300	#20598	C₂³	1	8	yes	—
301	C₂×#1782	D₄	1	2	yes	—
302	#20481	C₂³	1	8	yes	complemented
303	#20476	C₂³	1	8	yes	complemented
304	C₂×C₄×#99	C₂³	1	4	yes	—
305	C₂²⋊C₄×M₁₆	C₂³	1	8	yes	—
306	#17596	C₂³	1	4	yes	complemented
307	#17595	C₂³	1	8	yes	—
308	#17595	C₂³	1	4	yes	complemented
309	#17592	C₂³	1	8	yes	—
310	#17577	C₂³	1	8	yes	—
311	#17574	C₂³	1	8	yes	—
312	#17567	C₂³	1	8	yes	complemented
313	#17363	C₂³	1	2	yes	—
314	#17363	C₂³	1	2	yes	—
315	#17362	C₂³	1	4	yes	—
316	#17349	C₂³	1	4	yes	—
317	#9786	C₂³	1	32	yes	complemented
318	#9785	C₂³	1	32	yes	complemented
319	#9783	C₂³	1	32	yes	complemented
320	#9781	C₂³	1	32	yes	complemented
321	#9262	C₂³	1	64	yes	complemented
322	#9259	C₂³	1	64	yes	complemented
323	#9259	C₂³	1	64	yes	complemented
324	#9255	C₂³	1	64	yes	complemented
325	#8610	C₂³	1	32	yes	complemented
326	#8609	C₂³	1	16	yes	complemented
327	#8608	C₂³	1	16	yes	complemented
328	#8381	C₂³	1	16	yes	complemented
329	#8379	C₂³	1	16	yes	complemented
330	#8377	C₂³	1	16	yes	complemented
331	#8375	C₂³	1	32	yes	—
332	#8375	C₂³	1	32	yes	—
333	#8375	C₂³	1	16	yes	complemented
334	#8161	C₂³	1	32	yes	complemented
335	#8160	C₂³	1	16	yes	complemented
336	C₈×#99	C₂³	1	16	yes	complemented
337	#7984	C₂³	1	8	yes	complemented
338	#7983	C₂³	1	8	yes	—
339	#7980	C₂³	1	8	yes	complemented
340	#7929	C₂³	1	8	yes	—
341	#7928	C₂³	1	8	yes	complemented
342	#7926	C₂³	1	8	yes	complemented
343	C₂³×#41	C₂²×C₄	1	4	yes	—
344	C₂³×#41	C₂×D₄	1	1	yes	characteristic
345	C₂³×#41	C₂⁴	1	2	yes	—
346	C₂⁴×D₄	C₂²×C₄	1	4	yes	—
347	C₂⁴×D₄	C₂⁴	1	2	yes	—
348	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	4	yes	—
349	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	8	yes	—
350	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	8	yes	—
351	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	8	yes	—
352	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	16	yes	—
353	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	8	yes	—
354	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	16	yes	complemented
355	C₂²×AGL(1,ℤ/8)	C₂²×C₄	1	16	yes	complemented
356	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	16	yes	—
357	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	32	yes	—
358	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	16	yes	—
359	C₂³×SD₁₆	C₂²×C₄	1	16	yes	complemented
360	C₂³×SD₁₆	C₂⁴	1	8	yes	—
361	C₂³×D₈	C₂²×C₄	1	16	yes	complemented
362	C₂³×D₈	C₂⁴	1	8	yes	—
363	C₂³×M₁₆	C₂²×C₄	1	4	yes	—
364	C₂³×M₁₆	C₂⁴	1	2	yes	—
365	C₂×#559	C₂²×C₄	1	2	yes	complemented
366	C₂×#559	C₂²×C₄	1	4	yes	complemented
367	C₂×#557	C₂²×C₄	1	2	yes	complemented
368	C₂×#556	C₂²×C₄	1	2	yes	complemented
369	C₂×#556	C₂²×C₄	1	4	yes	complemented
370	C₂×#550	C₂²×C₄	1	4	yes	—
371	C₂×#550	C₂²×C₄	1	4	yes	—
372	C₂×#550	C₂²×C₄	1	4	yes	—
373	C₂×#550	C₂²×C₄	1	8	yes	—
374	C₂×#550	C₂²×C₄	1	2	yes	complemented
375	C₂×#550	C₂²×C₄	1	2	yes	complemented
376	C₂×D₄×Q₈	C₂²×C₄	1	2	yes	complemented
377	C₂×D₄×Q₈	C₂⁴	1	4	yes	—
378	C₂×#548	C₂²×C₄	1	4	yes	—
379	C₂×#548	C₂²×C₄	1	4	yes	complemented
380	C₂×#548	C₂⁴	1	4	yes	—
381	C₂×#547	C₂²×C₄	1	4	yes	—
382	C₂×#547	C₂²×C₄	1	2	yes	complemented
383	C₂×#546	C₂²×C₄	1	4	yes	—
384	C₂×#546	C₂²×C₄	1	4	yes	complemented
385	C₂×#546	C₂⁴	1	4	yes	—
386	C₂×D₄²	C₂²×C₄	1	8	yes	—
387	C₂×D₄²	C₂²×C₄	1	8	yes	—
388	C₂×D₄²	C₂²×C₄	1	8	yes	—
389	C₂×D₄²	C₂²×C₄	1	4	yes	—
390	C₂×D₄²	C₂²×C₄	1	4	yes	—
391	C₂×D₄²	C₂²×C₄	1	2	yes	complemented
392	C₂×D₄²	C₂⁴	1	4	yes	—
393	C₂×D₄²	C₂⁴	1	8	yes	—
394	C₂×D₄²	C₂⁴	1	8	yes	—
395	C₂×#533	C₂²×C₄	1	1	yes	characteristic
396	C₂×#533	C₂²×C₄	1	1	yes	characteristic
397	C₂×#533	C₂²×C₄	1	2	yes	complemented
398	C₂×#533	C₂²×C₄	1	2	yes	complemented
399	C₂×#533	C₂⁴	1	1	yes	characteristic
400	C₂×#532	C₂²×C₄	1	1	yes	characteristic
401	C₂×#532	C₂²×C₄	1	4	yes	—
402	C₂×#532	C₂²×C₄	1	2	yes	—
403	C₂×#532	C₂²×C₄	1	2	yes	—
404	C₂×#532	C₂²×C₄	1	2	yes	—
405	C₂×#532	C₂²×C₄	1	2	yes	—
406	C₂×#532	C₂²×C₄	1	2	yes	—
407	C₂×#532	C₂²×C₄	1	2	yes	—
408	C₂×#532	C₂²×C₄	1	1	yes	characteristic
409	C₂×#532	C₂²×C₄	1	4	yes	—
410	C₂×#532	C₂²×C₄	1	4	yes	—
411	C₂×#532	C₂²×C₄	1	4	yes	—
412	C₂×#532	C₂²×C₄	1	4	yes	—
413	C₂×#532	C₂²×C₄	1	4	yes	complemented
414	C₂×#532	C₂²×C₄	1	2	yes	complemented
415	C₂×#532	C₂²×C₄	1	2	yes	complemented
416	C₂×#532	C₂²×C₄	1	2	yes	complemented
417	C₂×#532	C₂²×C₄	1	2	yes	complemented
418	C₂×#532	C₂×D₄	1	4	yes	—
419	C₂×#532	C₂×D₄	1	4	yes	—
420	C₂×#532	C₂×D₄	1	4	yes	—
421	C₂×#532	C₂×D₄	1	4	yes	—
422	C₂×#532	C₂⁴	1	2	yes	—
423	C₂×#532	C₂⁴	1	2	yes	—
424	C₂×#532	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
426	C₂²×C₄⋊Q₈	C₂²×C₄	1	2	yes	complemented
427	C₂²×C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
428	C₂²×#127	C₂²×C₄	1	1	yes	characteristic
429	C₂²×#127	C₂²×C₄	1	4	yes	—
430	C₂²×#127	C₂²×C₄	1	4	yes	—
431	C₂²×#127	C₂²×C₄	1	4	yes	—
432	C₂²×#127	C₂²×C₄	1	4	yes	—
433	C₂²×#127	C₂²×C₄	1	4	yes	—
434	C₂²×#127	C₂²×C₄	1	2	yes	—
435	C₂²×#127	C₂²×C₄	1	2	yes	—
436	C₂²×#127	C₂²×C₄	1	2	yes	—
437	C₂²×#127	C₂²×C₄	1	2	yes	—
438	C₂²×#127	C₂²×C₄	1	2	yes	complemented
439	C₂²×#127	C₂×D₄	1	4	yes	—
440	C₂²×#127	C₂×D₄	1	4	yes	—
441	C₂²×#127	C₂×D₄	1	4	yes	—
442	C₂²×#127	C₂×D₄	1	4	yes	—
443	C₂²×#127	C₂⁴	1	2	yes	—
444	C₂²×#127	C₂⁴	1	2	yes	—
445	C₂²×#127	C₂⁴	1	1	yes	characteristic
446	C₂×#529	C₂²×C₄	1	2	yes	—
447	C₂×#529	C₂²×C₄	1	4	yes	complemented
448	C₂×#529	C₂²×C₄	1	4	yes	complemented
449	C₂×#529	C₂⁴	1	2	yes	—
450	C₂²×#124	C₂²×C₄	1	4	yes	complemented
451	C₂²×#124	C₂⁴	1	2	yes	—
452	C₂×#525	C₂²×C₄	1	4	yes	—
453	C₂×#525	C₂⁴	1	2	yes	—
454	C₂²×#121	C₂²×C₄	1	4	yes	—
455	C₂²×#121	C₂⁴	1	2	yes	—
456	C₂×C₄×#41	C₂²×C₄	1	2	yes	—
457	C₂×C₄×#41	C₂²×C₄	1	4	yes	—
458	C₂×C₄×#41	C₂²×C₄	1	2	yes	—
459	C₂×C₄×#41	C₂²×C₄	1	1	yes	characteristic
460	C₂×C₄×#41	C₂²×C₄	1	1	yes	characteristic
461	C₂×C₄×#41	C₂×D₄	1	2	yes	—
462	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
463	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
464	C₂×C₄×#41	#41	1	1	yes	characteristic
465	C₂×C₄×#41	#41	1	1	yes	characteristic
466	C₂×C₄×#41	#41	1	2	yes	—
467	C₂×C₄×#41	C₂⁴	1	1	yes	characteristic
468	C₂×C₄×#41	C₂⁴	1	1	yes	characteristic
469	C₂×C₄×#41	C₂⁴	1	2	yes	—
470	C₂²×C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
471	C₂²×C₄×Q₈	#41	1	1	yes	characteristic
472	C₂²×C₄×D₄	C₂²×C₄	1	2	yes	—
473	C₂²×C₄×D₄	C₂²×C₄	1	4	yes	—
474	C₂²×C₄×D₄	C₂²×C₄	1	1	yes	characteristic
475	C₂²×C₄×D₄	C₂×D₄	1	2	yes	—
476	C₂²×C₄×D₄	#41	1	1	yes	characteristic
477	C₂²×C₄×D₄	C₂⁴	1	2	yes	—
478	C₂²×#117	C₂×D₄	1	1	yes	characteristic
479	C₂²×#117	#41	1	2	yes	—
480	C₂³×C₄²	C₂²×C₄	1	2	yes	—
481	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
482	C₂×#501	C₂²×C₄	1	4	yes	complemented
483	C₂×#500	C₂²×C₄	1	2	yes	complemented
484	C₂×#498	C₂²×C₄	1	2	yes	complemented
485	#3151	C₂²⋊C₄	1	4	yes	—
486	#3151	C₂²⋊C₄	1	8	yes	—
487	#3151	C₂²⋊C₄	1	8	yes	—
488	#3151	C₂²⋊C₄	1	8	yes	—
489	#3151	C₂²⋊C₄	1	4	yes	—
490	#3151	C₂²⋊C₄	1	8	yes	—
491	#3151	C₂²⋊C₄	1	8	yes	—
492	#3151	C₂²⋊C₄	1	8	yes	—
493	#3151	C₂²⋊C₄	1	8	yes	—
494	#3151	C₂²⋊C₄	1	16	yes	—
495	#3151	C₂²⋊C₄	1	16	yes	—
496	#3151	C₂²⋊C₄	1	32	yes	—
497	#3151	C₂²⋊C₄	1	16	yes	—
498	#3151	C₂²⋊C₄	1	32	yes	—
499	#3151	C₂²⋊C₄	1	16	yes	—
500	#3151	C₂²⋊C₄	1	16	yes	—
501	#3151	C₂²⋊C₄	1	32	yes	—
502	#3151	C₂²⋊C₄	1	16	yes	—
503	C₂×#496	C₂²×C₄	1	8	yes	—
504	C₂×#496	C₂²×C₄	1	8	yes	—
505	C₂×#496	C₂²×C₄	1	16	yes	—
506	C₂×#496	C₂²×C₄	1	8	yes	—
507	C₂×#496	C₂²×C₄	1	4	yes	complemented
508	C₂×#496	C₂²×C₄	1	16	yes	complemented
509	C₂×#496	C₂²×C₄	1	16	yes	complemented
510	C₂×#496	C₂²×C₄	1	8	yes	complemented
511	C₂×#496	C₂×D₄	1	16	yes	—
512	C₂×#496	C₂×D₄	1	32	yes	—
513	C₂×#496	C₂×D₄	1	16	yes	—
514	C₂×#493	C₂²×C₄	1	4	yes	—
515	C₂×#493	C₂²×C₄	1	4	yes	—
516	C₂×#493	C₂²×C₄	1	4	yes	—
517	C₂×#493	C₂²×C₄	1	8	yes	—
518	C₂×#493	C₂²×C₄	1	2	yes	complemented
519	C₂×#493	C₂²×C₄	1	4	yes	complemented
520	C₂×#493	C₂²×C₄	1	16	yes	complemented
521	C₂×#493	C₂×D₄	1	8	yes	—
522	C₂×#493	C₂×D₄	1	16	yes	—
523	C₂×#493	C₂×D₄	1	8	yes	—
524	C₂×#492	C₂²×C₄	1	4	yes	—
525	C₂×#492	C₂²×C₄	1	4	yes	—
526	C₂×#492	C₂²×C₄	1	4	yes	—
527	C₂×#492	C₂²×C₄	1	8	yes	—
528	C₂×#492	C₂²×C₄	1	2	yes	complemented
529	C₂×#492	C₂²×C₄	1	4	yes	complemented
530	C₂×#492	C₂²×C₄	1	16	yes	complemented
531	C₂×#492	C₂×D₄	1	8	yes	—
532	C₂×#492	C₂×D₄	1	16	yes	—
533	C₂×#492	C₂×D₄	1	8	yes	—
534	C₂×#490	C₂²×C₄	1	8	yes	—
535	C₂×#490	C₂²×C₄	1	4	yes	complemented
536	C₂×#489	C₂²×C₄	1	8	yes	complemented
537	C₂×#489	C₂²×C₄	1	4	yes	complemented
538	C₂×#487	C₂²×C₄	1	2	yes	complemented
539	C₂×#487	C₂²×C₄	1	4	yes	complemented
540	C₂×#486	C₂²×C₄	1	4	yes	—
541	C₂×#486	C₂²×C₄	1	4	yes	—
542	C₂×#486	C₂²×C₄	1	2	yes	complemented
543	C₂×#486	C₂²×C₄	1	2	yes	complemented
544	C₂×#486	C₂²×C₄	1	2	yes	complemented
545	C₂×#486	C₂²×C₄	1	4	yes	complemented
546	C₂×#469	C₂²×C₄	1	8	yes	—
547	C₂×#469	C₂²×C₄	1	16	yes	complemented
548	C₂×#468	C₂²×C₄	1	8	yes	—
549	C₂×#468	C₂²×C₄	1	16	yes	complemented
550	C₂×#466	C₂²×C₄	1	16	yes	complemented
551	C₂×#466	C₂⁴	1	8	yes	—
552	C₂×#465	C₂²×C₄	1	16	yes	complemented
553	C₂×#465	C₂⁴	1	8	yes	—
554	C₂×#460	C₂²×C₄	1	8	yes	—
555	C₂×#460	C₂²×C₄	1	8	yes	—
556	C₂×#460	C₂²×C₄	1	16	yes	complemented
557	C₂×#460	C₂²×C₄	1	16	yes	complemented
558	C₂×#463	C₂²×C₄	1	16	yes	complemented
559	C₂×#463	C₂²×C₄	1	16	yes	complemented
560	C₂×#463	C₂²×C₄	1	16	yes	complemented
561	C₂×#461	C₂²×C₄	1	16	yes	complemented
562	C₂×#461	C₂²×C₄	1	8	yes	complemented
563	C₂×#459	C₂²×C₄	1	8	yes	—
564	C₂×#459	C₂²×C₄	1	8	yes	—
565	C₂×#459	C₂²×C₄	1	16	yes	complemented
566	C₂×#459	C₂²×C₄	1	16	yes	complemented
567	C₂×#459	C₂²×C₄	1	16	yes	complemented
568	C₂×#459	C₂²×C₄	1	8	yes	complemented
569	C₂×#449	C₂²×C₄	1	16	yes	—
570	C₂×#449	C₂²×C₄	1	16	yes	complemented
571	C₂×#449	C₂²×C₄	1	16	yes	complemented
572	C₂×#448	C₂²×C₄	1	16	yes	complemented
573	C₂×#448	C₂⁴	1	8	yes	—
574	C₂×#450	C₂²×C₄	1	8	yes	—
575	C₂×#450	C₂²×C₄	1	16	yes	complemented
576	C₂×#450	C₂²×C₄	1	16	yes	complemented
577	C₂×#450	C₂⁴	1	8	yes	—
578	C₂×#447	C₂²×C₄	1	8	yes	—
579	C₂×#447	C₂²×C₄	1	16	yes	complemented
580	C₂×#447	C₂²×C₄	1	16	yes	complemented
581	C₂×#447	C₂²×C₄	1	16	yes	complemented
582	C₂×#447	C₂⁴	1	8	yes	—
583	C₂×#447	C₂⁴	1	8	yes	—
584	C₂×#446	C₂²×C₄	1	8	yes	complemented
585	C₂×#446	C₂²×C₄	1	4	yes	complemented
586	C₂×C₈×Q₈	C₂²×C₄	1	4	yes	complemented
587	C₂×#442	C₂²×C₄	1	16	yes	complemented
588	C₂×#442	C₂²×C₄	1	8	yes	complemented
589	C₂×#440	C₂²×C₄	1	16	yes	complemented
590	C₂×#440	C₂²×C₄	1	8	yes	complemented
591	C₂×C₄×SD₁₆	C₂²×C₄	1	8	yes	complemented
592	C₂×C₄×SD₁₆	C₂²×C₄	1	16	yes	complemented
593	C₂×C₄×D₈	C₂²×C₄	1	8	yes	complemented
594	C₂×C₄×D₈	C₂²×C₄	1	16	yes	complemented
595	C₂×#436	C₂²×C₄	1	8	yes	—
596	C₂×#436	C₂²×C₄	1	4	yes	complemented
597	C₂×#435	C₂²×C₄	1	8	yes	—
598	C₂×#435	C₂²×C₄	1	8	yes	complemented
599	C₂×#435	C₂⁴	1	8	yes	—
600	C₂×C₈×D₄	C₂²×C₄	1	4	yes	complemented
601	C₂×C₈×D₄	C₂⁴	1	8	yes	—
602	C₂×#432	C₂²×C₄	1	2	yes	—
603	C₂×#432	C₂²×C₄	1	4	yes	complemented
604	C₂×#432	C₂²×C₄	1	4	yes	complemented
605	C₂×#432	C₂⁴	1	4	yes	—
606	C₂×#432	C₂⁴	1	2	yes	—
607	C₂×#431	C₂²×C₄	1	2	yes	—
608	C₂×#431	C₂²×C₄	1	4	yes	complemented
609	C₂×#431	C₂²×C₄	1	4	yes	complemented
610	C₂×#431	C₂⁴	1	4	yes	—
611	C₂×#431	C₂⁴	1	2	yes	—
612	C₂×#428	C₂²×C₄	1	4	yes	—
613	C₂×#423	C₂²×C₄	1	4	yes	—
614	C₂×#423	C₂²×C₄	1	2	yes	—
615	C₂×#417	C₂²×C₄	1	8	yes	—
616	C₂×#417	C₂²×C₄	1	4	yes	—
617	C₂×#418	C₂²×C₄	1	8	yes	—
618	C₂×#418	C₂²×C₄	1	4	yes	—
619	C₂²×#99	C₂×D₄	1	8	yes	—
620	C₂×#407	C₂²×C₄	1	4	yes	—
621	C₂×#407	C₂⁴	1	4	yes	—
622	C₂×#407	C₂⁴	1	2	yes	—
623	C₂×C₄×M₁₆	C₂²×C₄	1	4	yes	—
624	C₂×C₄×M₁₆	C₂²×C₄	1	2	yes	—
625	C₂×C₄×M₁₆	C₂²×C₄	1	2	yes	—
626	C₂×C₄×M₁₆	C₂²×C₄	1	2	yes	—
627	C₂×C₄×M₁₆	C₂²×C₄	1	2	yes	—
628	C₂×C₄×M₁₆	C₂²×C₄	1	1	yes	characteristic
629	C₂×C₄×M₁₆	C₂²×C₄	1	1	yes	characteristic
630	C₂×C₄×M₁₆	C₂²×C₄	1	4	yes	complemented
631	C₂×C₄×M₁₆	C₂²×C₄	1	4	yes	complemented
632	C₂×C₄×M₁₆	C₂×D₄	1	4	yes	—
633	C₂×C₄×M₁₆	C₂×D₄	1	2	yes	—
634	C₂×C₄×M₁₆	C₂×D₄	1	2	yes	—
635	C₂×C₄×M₁₆	C₂×D₄	1	4	yes	—
636	C₂×C₄×M₁₆	C₂×D₄	1	4	yes	—
637	C₂²×#97	C₂²×C₄	1	4	yes	complemented
638	C₂²×#97	C₂⁴	1	2	yes	—
639	C₂²×C₄×C₈	C₂²×C₄	1	4	yes	complemented
640	C₂²×C₄×C₈	C₂⁴	1	2	yes	—
641	Q₈×C₂²⋊C₄	C₂⁴	1	16	yes	—
642	D₄×C₂²⋊C₄	C₂⁴	1	32	yes	—
643	D₄×C₂²⋊C₄	C₂⁴	1	16	yes	—
644	#2285	C₂⁴	1	4	yes	—
645	#2283	C₂×D₄	1	4	yes	—
646	#2283	C₂×D₄	1	4	yes	—
647	#2283	C₂⁴	1	4	yes	—
648	#2283	C₂⁴	1	4	yes	—
649	#2283	C₂⁴	1	4	yes	—
650	#2283	C₂⁴	1	4	yes	—
651	#2283	C₂⁴	1	4	yes	—
652	#2280	C₂⁴	1	4	yes	—
653	C₂×#381	C₂×D₄	1	4	yes	—
654	C₂×#380	C₂×D₄	1	4	yes	—
655	C₂×#380	C₂⁴	1	4	yes	—
656	C₂×C₄×C₂²⋊C₄	C₂⁴	1	4	yes	—
657	#1996	C₂⁴	1	16	yes	—
658	#1964	C₂⁴	1	16	yes	—
659	#1964	C₂⁴	1	32	yes	—
660	#1820	C₂×D₄	1	4	yes	—
661	#1820	C₂×D₄	1	8	yes	—
662	#1820	C₂×D₄	1	4	yes	—
663	#1808	C₂⁴	1	16	yes	—
664	#1807	C₂⁴	1	16	yes	—
665	#1799	C₂×D₄	1	8	yes	—
666	#1799	C₂×D₄	1	8	yes	—
667	#1799	C₂×D₄	1	8	yes	—
668	#1799	C₂×D₄	1	8	yes	—
669	#1799	C₂⁴	1	8	yes	—
670	#1799	C₂⁴	1	8	yes	—
671	#1799	C₂⁴	1	8	yes	—
672	#1799	C₂⁴	1	8	yes	—
673	#1787	C₂⁴	1	16	yes	—
674	#1786	C₂⁴	1	32	yes	—
675	#1786	C₂⁴	1	16	yes	—
676	#1782	C₂×D₄	1	4	yes	—
677	#1782	C₂×D₄	1	4	yes	—
678	#1782	C₂×D₄	1	8	yes	—
679	C₄×#99	C₂×D₄	1	8	yes	—
680	C₄×#99	C₂×D₄	1	8	yes	—
681	C₄×#99	C₂⁴	1	8	yes	—
682	C₄×#99	C₂⁴	1	8	yes	—
683	#1752	C₂⁴	1	16	yes	—
684	C₈×C₂²⋊C₄	C₂⁴	1	16	yes	—
685	C₂×#342	C₂×D₄	1	8	yes	—
686	#1520	C₂⁴	1	16	yes	—
687	#1519	C₂⁴	1	16	yes	—
688	#1519	C₂⁴	1	32	yes	—
689	#1459	C₂⁴	1	8	yes	—
690	#1459	C₂⁴	1	8	yes	—
691	#1289	C₂⁴	1	32	yes	—
692	#1282	C₂⁴	1	32	yes	—
693	C₂²×#41	C₄×D₄	1	2	yes	—
694	C₂²×#41	C₄×D₄	1	1	yes	characteristic
695	C₂²×#41	C₄×D₄	1	1	yes	characteristic
696	C₂²×#41	C₂³×C₄	1	2	yes	—
697	C₂²×#41	C₂³×C₄	1	4	yes	—
698	C₂²×#41	C₂³×C₄	1	4	yes	—
699	C₂²×#41	C₂³×C₄	1	4	yes	—
700	C₂²×#41	C₂³×C₄	1	4	yes	—
701	C₂²×#41	C₂²×D₄	1	8	yes	—
702	C₂²×#41	C₂²×D₄	1	8	yes	—
703	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
704	C₂²×#41	C₂²×D₄	1	2	yes	—
705	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
706	C₂³×Q₈	C₄×D₄	1	1	yes	characteristic
707	C₂³×Q₈	C₂³×C₄	1	4	yes	—
708	C₂³×Q₈	C₂⁵	1	2	yes	—
709	C₂³×D₄	C₄×D₄	1	1	yes	characteristic
710	C₂³×D₄	C₂³×C₄	1	2	yes	—
711	C₂³×D₄	C₂³×C₄	1	4	yes	—
712	C₂³×D₄	C₂³×C₄	1	8	yes	—
713	C₂³×D₄	C₂³×C₄	1	8	yes	—
714	C₂³×D₄	C₂³×C₄	1	4	yes	—
715	C₂³×D₄	C₂³×C₄	1	4	yes	—
716	C₂³×D₄	C₂²×D₄	1	2	yes	—
717	C₂³×D₄	C₂²×D₄	1	8	yes	—
718	C₂³×D₄	C₂²×D₄	1	8	yes	—
719	C₂³×D₄	C₂⁵	1	4	yes	—
720	C₂³×D₄	C₂⁵	1	2	yes	—
721	C₂⁴×C₄	C₄×D₄	1	2	yes	—
722	C₂⁴×C₄	C₄×D₄	1	2	yes	—
723	C₂⁴×C₄	C₂³×C₄	1	2	yes	—
724	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
725	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
726	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
727	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	16	yes	—
728	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	32	yes	—
729	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	16	yes	—
730	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	32	yes	—
731	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	64	yes	—
732	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	32	yes	—
733	C₂×AGL(1,ℤ/8)	C₂×C₂²⋊C₄	1	64	yes	—
734	C₂²×SD₁₆	C₂³×C₄	1	8	yes	—
735	C₂²×SD₁₆	C₂³×C₄	1	16	yes	—
736	C₂²×SD₁₆	C₂³×C₄	1	16	yes	—
737	C₂²×SD₁₆	C₂³×C₄	1	16	yes	—
738	C₂²×SD₁₆	C₂³×C₄	1	16	yes	—
739	C₂²×SD₁₆	C₂²×D₄	1	32	yes	—
740	C₂²×SD₁₆	C₂²×D₄	1	32	yes	—
741	C₂²×D₈	C₂³×C₄	1	8	yes	—
742	C₂²×D₈	C₂³×C₄	1	16	yes	—
743	C₂²×D₈	C₂³×C₄	1	16	yes	—
744	C₂²×D₈	C₂³×C₄	1	16	yes	—
745	C₂²×D₈	C₂³×C₄	1	16	yes	—
746	C₂²×D₈	C₂²×D₄	1	32	yes	—
747	C₂²×D₈	C₂²×D₄	1	32	yes	—
748	C₂²×M₁₆	C₂³×C₄	1	2	yes	—
749	C₂²×M₁₆	C₂³×C₄	1	4	yes	—
750	C₂²×M₁₆	C₂³×C₄	1	8	yes	—
751	C₂²×M₁₆	C₂³×C₄	1	2	yes	—
752	C₂²×M₁₆	C₂³×C₄	1	4	yes	—
753	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
754	C₂²×M₁₆	C₂²×D₄	1	8	yes	—
755	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
756	C₂³×C₈	C₂³×C₄	1	8	yes	—
757	C₂³×C₈	C₂⁵	1	4	yes	—
758	#532	C₂×C₂²⋊C₄	1	4	yes	—
759	#532	C₂×C₂²⋊C₄	1	4	yes	—
760	#532	C₂×C₂²⋊C₄	1	4	yes	—
761	#532	C₂×C₂²⋊C₄	1	4	yes	—
762	#532	C₂×C₂²⋊C₄	1	8	yes	—
763	#532	C₂×C₂²⋊C₄	1	8	yes	—
764	#532	C₂×C₂²⋊C₄	1	8	yes	—
765	#532	C₂×C₂²⋊C₄	1	8	yes	—
766	#532	C₂×C₂²⋊C₄	1	8	yes	—
767	#532	C₂×C₂²⋊C₄	1	8	yes	—
768	C₂×C₄⋊Q₈	C₂³×C₄	1	1	yes	characteristic
769	C₂×C₄⋊Q₈	C₂³×C₄	1	4	yes	—
770	C₂×C₄⋊Q₈	C₂³×C₄	1	2	yes	—
771	C₂×C₄⋊Q₈	C₂³×C₄	1	2	yes	—
772	C₂×C₄⋊Q₈	C₂³×C₄	1	1	yes	characteristic
773	C₂×C₄⋊Q₈	C₂³×C₄	1	1	yes	characteristic
774	C₂×C₄⋊Q₈	C₂³×C₄	1	2	yes	—
775	C₂×C₄⋊Q₈	C₂³×C₄	1	2	yes	—
776	C₂×C₄⋊Q₈	C₂²×D₄	1	4	yes	—
777	C₂×C₄⋊Q₈	C₂²×D₄	1	4	yes	—
778	C₂×#127	C₂×C₂²⋊C₄	1	4	yes	—
779	C₂×#127	C₂×C₂²⋊C₄	1	4	yes	—
780	C₂×#127	C₂×C₂²⋊C₄	1	4	yes	—
781	C₂×#127	C₂×C₂²⋊C₄	1	4	yes	—
782	C₂×#127	C₂×C₂²⋊C₄	1	8	yes	—
783	C₂×#127	C₂×C₂²⋊C₄	1	8	yes	—
784	C₂×#127	C₂×C₂²⋊C₄	1	8	yes	—
785	C₂×#127	C₂×C₂²⋊C₄	1	8	yes	—
786	C₂×#127	C₂×C₂²⋊C₄	1	8	yes	—
787	C₂×#127	C₂×C₂²⋊C₄	1	8	yes	—
788	C₂×#127	C₂³×C₄	1	2	yes	—
789	C₂×#127	C₂³×C₄	1	1	yes	characteristic
790	C₂×#127	C₂³×C₄	1	2	yes	—
791	C₂×#127	C₂³×C₄	1	8	yes	—
792	C₂×#127	C₂³×C₄	1	4	yes	—
793	C₂×#127	C₂³×C₄	1	8	yes	—
794	C₂×#127	C₂³×C₄	1	4	yes	—
795	C₂×#127	C₂³×C₄	1	2	yes	—
796	C₂×#127	C₂³×C₄	1	4	yes	—
797	C₂×#127	C₂³×C₄	1	4	yes	—
798	C₂×#127	C₂³×C₄	1	2	yes	—
799	C₂×#127	C₂³×C₄	1	4	yes	—
800	C₂×#127	C₂²×D₄	1	8	yes	—
801	C₂×#127	C₂²×D₄	1	4	yes	—
802	C₂×#127	C₂²×D₄	1	8	yes	—
803	C₂×#127	C₂²×D₄	1	8	yes	—
804	C₂×#127	C₂²×D₄	1	4	yes	—
805	C₂×#127	C₂²×D₄	1	8	yes	—
806	C₂×#125	C₂³×C₄	1	2	yes	—
807	C₂×#124	C₂³×C₄	1	2	yes	—
808	C₂×#124	C₂³×C₄	1	4	yes	—
809	C₂×#124	C₂³×C₄	1	4	yes	—
810	C₂×#124	C₂³×C₄	1	4	yes	—
811	C₂×#124	C₂³×C₄	1	4	yes	—
812	C₂×#124	C₂²×D₄	1	8	yes	—
813	C₂×#124	C₂²×D₄	1	8	yes	—
814	C₂×C₂²⋊Q₈	C₂³×C₄	1	2	yes	—
815	C₂×C₂²⋊Q₈	C₂³×C₄	1	4	yes	—
816	C₂×C₂²⋊Q₈	C₂³×C₄	1	4	yes	—
817	C₂×C₂²⋊Q₈	C₂⁵	1	2	yes	—
818	C₂×#121	C₂³×C₄	1	4	yes	—
819	C₂×#121	C₂³×C₄	1	2	yes	—
820	C₂×#121	C₂³×C₄	1	8	yes	—
821	C₂×#121	C₂³×C₄	1	8	yes	—
822	C₂×#121	C₂³×C₄	1	4	yes	—
823	C₂×#121	C₂³×C₄	1	4	yes	—
824	C₂×#121	C₂⁵	1	4	yes	—
825	C₂×#121	C₂⁵	1	2	yes	—
826	C₂×C₄×Q₈	C₄×D₄	1	1	yes	characteristic
827	C₂×C₄×Q₈	C₄×D₄	1	1	yes	characteristic
828	C₂×C₄×Q₈	C₄×D₄	1	2	yes	—
829	C₂×C₄×Q₈	C₄×D₄	1	1	yes	characteristic
830	C₂×C₄×Q₈	C₄×D₄	1	1	yes	characteristic
831	C₂×C₄×Q₈	C₄×D₄	1	2	yes	—
832	C₂×C₄×Q₈	C₂³×C₄	1	2	yes	—
833	C₂×C₄×Q₈	C₂³×C₄	1	2	yes	—
834	C₂×C₄×Q₈	C₂³×C₄	1	4	yes	—
835	C₂×C₄×Q₈	C₂³×C₄	1	4	yes	—
836	C₂×C₄×Q₈	C₂³×C₄	1	1	yes	characteristic
837	C₂×C₄×Q₈	C₂³×C₄	1	1	yes	characteristic
838	C₂×C₄×Q₈	C₂³×C₄	1	2	yes	—
839	C₂×C₄×Q₈	C₂×#41	1	2	yes	—
840	C₂×C₄×Q₈	C₂×#41	1	1	yes	characteristic
841	C₂×C₄×Q₈	C₂×#41	1	1	yes	characteristic
842	C₂×C₄×D₄	C₄×D₄	1	1	yes	characteristic
843	C₂×C₄×D₄	C₄×D₄	1	2	yes	—
844	C₂×C₄×D₄	C₄×D₄	1	1	yes	characteristic
845	C₂×C₄×D₄	C₄×D₄	1	2	yes	—
846	C₂×C₄×D₄	C₄×D₄	1	2	yes	—
847	C₂×C₄×D₄	C₄×D₄	1	2	yes	—
848	C₂×C₄×D₄	C₄×D₄	1	2	yes	—
849	C₂×C₄×D₄	C₄×D₄	1	1	yes	characteristic
850	C₂×C₄×D₄	C₄×D₄	1	1	yes	characteristic
851	C₂×C₄×D₄	C₄×D₄	1	2	yes	—
852	C₂×C₄×D₄	C₂³×C₄	1	4	yes	—
853	C₂×C₄×D₄	C₂³×C₄	1	4	yes	—
854	C₂×C₄×D₄	C₂³×C₄	1	2	yes	—
855	C₂×C₄×D₄	C₂³×C₄	1	2	yes	—
856	C₂×C₄×D₄	C₂³×C₄	1	8	yes	—
857	C₂×C₄×D₄	C₂³×C₄	1	8	yes	—
858	C₂×C₄×D₄	C₂³×C₄	1	4	yes	—
859	C₂×C₄×D₄	C₂³×C₄	1	4	yes	—
860	C₂×C₄×D₄	C₂³×C₄	1	1	yes	characteristic
861	C₂×C₄×D₄	C₂³×C₄	1	2	yes	—
862	C₂×C₄×D₄	C₂³×C₄	1	1	yes	characteristic
863	C₂×C₄×D₄	C₂³×C₄	1	2	yes	—
864	C₂×C₄×D₄	C₂³×C₄	1	2	yes	—
865	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
866	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
867	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
868	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
869	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
870	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
871	C₂×C₄×D₄	C₂×#41	1	2	yes	—
872	C₂×C₄×D₄	C₂×#41	1	2	yes	—
873	C₂×C₄×D₄	C₂×#41	1	2	yes	—
874	C₂×C₄×D₄	C₂×#41	1	1	yes	characteristic
875	C₂×C₄×D₄	C₂×#41	1	1	yes	characteristic
876	C₂×C₄×D₄	C₂⁵	1	2	yes	—
877	C₂×C₄×D₄	C₂⁵	1	2	yes	—
878	C₂×#117	C₄×D₄	1	2	yes	—
879	C₂×#117	C₄×D₄	1	1	yes	characteristic
880	C₂×#117	C₄×D₄	1	1	yes	characteristic
881	C₂×#117	C₄×D₄	1	2	yes	—
882	C₂×#117	C₄×D₄	1	2	yes	—
883	C₂×#117	C₄×D₄	1	2	yes	—
884	C₂×#117	C₄×D₄	1	2	yes	—
885	C₂×#117	C₂³×C₄	1	2	yes	—
886	C₂×#117	C₂²×D₄	1	1	yes	characteristic
887	C₂×#117	C₂²×D₄	1	1	yes	characteristic
888	C₂×#117	C₂²×D₄	1	2	yes	—
889	C₂×#117	C₂×#41	1	2	yes	—
890	C₂×#117	C₂×#41	1	2	yes	—
891	C₂×#117	C₂×#41	1	2	yes	—
892	C₂×#117	C₂×#41	1	2	yes	—
893	C₂²×C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
894	C₂²×C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
895	C₂²×C₄⋊C₄	C₄×D₄	1	2	yes	—
896	C₂²×C₄⋊C₄	C₂³×C₄	1	2	yes	—
897	C₂²×C₄⋊C₄	C₂×#41	1	2	yes	—
898	C₂²×C₂²⋊C₄	C₄×D₄	1	2	yes	—
899	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
900	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
901	C₂²×C₂²⋊C₄	C₂×#41	1	2	yes	—
902	C₂²×C₄²	C₄×D₄	1	2	yes	—
903	C₂²×C₄²	C₄×D₄	1	2	yes	—
904	C₂²×C₄²	C₄×D₄	1	2	yes	—
905	C₂²×C₄²	C₄×D₄	1	2	yes	—
906	C₂²×C₄²	C₄×D₄	1	2	yes	—
907	C₂²×C₄²	C₄×D₄	1	2	yes	—
908	C₂²×C₄²	C₂³×C₄	1	2	yes	—
909	C₂²×C₄²	C₂³×C₄	1	2	yes	—
910	C₂²×C₄²	C₂³×C₄	1	2	yes	—
911	C₂²×C₄²	C₂³×C₄	1	2	yes	—
912	C₂²×C₄²	C₂³×C₄	1	2	yes	—
913	C₂²×C₄²	C₂³×C₄	1	1	yes	characteristic
914	C₂²×C₄²	C₂³×C₄	1	1	yes	characteristic
915	C₂²×C₄²	C₂³×C₄	1	1	yes	characteristic
916	C₂²×C₄²	C₂³×C₄	1	1	yes	characteristic
917	C₂²×C₄²	C₂²×D₄	1	2	yes	—
918	C₂²×C₄²	C₂²×D₄	1	2	yes	—
919	C₂²×C₄²	C₂²×D₄	1	2	yes	—
920	C₂²×C₄²	C₂²×D₄	1	2	yes	—
921	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
922	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
923	C₂²×C₄²	C₂×#41	1	1	yes	characteristic
924	C₂²×C₄²	C₂×#41	1	1	yes	characteristic
925	C₂²×C₄²	C₂×#41	1	1	yes	characteristic
926	C₂²×C₄²	C₂×#41	1	1	yes	characteristic
927	C₂²×C₄²	H(5,𝔽₂)	1	2	yes	—
928	C₂²×C₄²	H(5,𝔽₂)	1	2	yes	—
929	C₂²×C₄²	H(5,𝔽₂)	1	2	yes	—
930	C₂²×C₄²	H(5,𝔽₂)	1	2	yes	—
931	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
932	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
933	#496	C₂×C₂²⋊C₄	1	64	yes	—
934	#496	C₂×C₂²⋊C₄	1	64	yes	—
935	#496	C₂×C₂²⋊C₄	1	16	yes	—
936	#496	C₂×C₂²⋊C₄	1	32	yes	—
937	#496	C₂×C₂²⋊C₄	1	16	yes	—
938	#496	C₂×C₂²⋊C₄	1	32	yes	—
939	#496	C₂×C₂²⋊C₄	1	32	yes	—
940	#493	C₂×C₂²⋊C₄	1	32	yes	—
941	#493	C₂×C₂²⋊C₄	1	32	yes	—
942	#493	C₂×C₂²⋊C₄	1	8	yes	—
943	#493	C₂×C₂²⋊C₄	1	16	yes	—
944	#493	C₂×C₂²⋊C₄	1	8	yes	—
945	#493	C₂×C₂²⋊C₄	1	16	yes	—
946	#493	C₂×C₂²⋊C₄	1	16	yes	—
947	#492	C₂×C₂²⋊C₄	1	32	yes	—
948	#492	C₂×C₂²⋊C₄	1	32	yes	—
949	#492	C₂×C₂²⋊C₄	1	8	yes	—
950	#492	C₂×C₂²⋊C₄	1	16	yes	—
951	#492	C₂×C₂²⋊C₄	1	8	yes	—
952	#492	C₂×C₂²⋊C₄	1	16	yes	—
953	#492	C₂×C₂²⋊C₄	1	16	yes	—
954	C₂×#107	C₂³×C₄	1	8	yes	—
955	C₂×#106	C₂³×C₄	1	8	yes	—
956	C₂×C₄⋊C₈	C₂³×C₄	1	4	yes	—
957	C₂×C₄⋊C₈	C₂³×C₄	1	8	yes	—
958	C₂×C₄⋊C₈	C₂³×C₄	1	8	yes	—
959	C₂×C₄⋊C₈	C₂³×C₄	1	4	yes	—
960	C₂×#103	C₂³×C₄	1	8	yes	—
961	C₂×#103	C₂³×C₄	1	16	yes	—
962	C₂×#102	C₂³×C₄	1	16	yes	—
963	C₂×#102	C₂³×C₄	1	16	yes	—
964	C₂×#102	C₂³×C₄	1	8	yes	—
965	C₂×#102	C₂³×C₄	1	16	yes	—
966	C₂×#102	C₂³×C₄	1	8	yes	—
967	C₂×#102	C₂³×C₄	1	8	yes	—
968	C₂×#99	C₂²×D₄	1	16	yes	—
969	C₂×#99	C₂²×D₄	1	16	yes	—
970	C₂×C₂²⋊C₈	C₂³×C₄	1	8	yes	—
971	C₂×C₂²⋊C₈	C₂³×C₄	1	8	yes	—
972	C₂×C₂²⋊C₈	C₂³×C₄	1	4	yes	—
973	C₂×C₂²⋊C₈	C₂⁵	1	8	yes	—
974	C₂×C₂²⋊C₈	C₂⁵	1	4	yes	—
975	C₄×M₁₆	C₂×C₂²⋊C₄	1	2	yes	—
976	C₄×M₁₆	C₂×C₂²⋊C₄	1	1	yes	characteristic
977	C₄×M₁₆	C₂×C₂²⋊C₄	1	2	yes	—
978	C₄×M₁₆	C₂×C₂²⋊C₄	1	2	yes	—
979	C₄×M₁₆	C₂×C₂²⋊C₄	1	1	yes	characteristic
980	C₄×M₁₆	C₂×C₂²⋊C₄	1	2	yes	—
981	C₄×M₁₆	C₂×C₂²⋊C₄	1	2	yes	—
982	C₄×M₁₆	C₂×C₂²⋊C₄	1	2	yes	—
983	C₄×M₁₆	C₂×C₂²⋊C₄	1	2	yes	—
984	C₄×M₁₆	C₂×C₂²⋊C₄	1	4	yes	—
985	C₄×M₁₆	C₂×C₂²⋊C₄	1	8	yes	—
986	C₄×M₁₆	C₂×C₂²⋊C₄	1	4	yes	—
987	C₄×M₁₆	C₂×C₂²⋊C₄	1	4	yes	—
988	C₄×M₁₆	C₂×C₂²⋊C₄	1	8	yes	—
989	C₄×M₁₆	C₂×C₂²⋊C₄	1	4	yes	—
990	C₄×M₁₆	C₂×C₂²⋊C₄	1	4	yes	—
991	C₄×M₁₆	C₂×C₂²⋊C₄	1	8	yes	—
992	C₄×M₁₆	C₂×C₂²⋊C₄	1	4	yes	—
993	C₂×#97	C₂³×C₄	1	4	yes	—
994	C₂×#97	C₂³×C₄	1	8	yes	—
995	C₂×#97	C₂³×C₄	1	2	yes	—
996	C₂×#97	C₂³×C₄	1	2	yes	—
997	C₂×#97	C₂³×C₄	1	4	yes	—
998	C₂×#97	C₂²×D₄	1	4	yes	—
999	C₂×#97	C₂²×D₄	1	4	yes	—
1000	C₂×#97	C₂²×D₄	1	8	yes	—
1001	C₂×C₄×C₈	C₂³×C₄	1	4	yes	—
1002	C₂×C₄×C₈	C₂³×C₄	1	8	yes	—
1003	C₂×C₄×C₈	C₂³×C₄	1	2	yes	—
1004	C₂×C₄×C₈	C₂³×C₄	1	2	yes	—
1005	C₂×C₄×C₈	C₂³×C₄	1	4	yes	—
1006	C₂×C₄×C₈	C₂²×D₄	1	4	yes	—
1007	C₂×C₄×C₈	C₂²×D₄	1	4	yes	—
1008	C₂×C₄×C₈	C₂²×D₄	1	8	yes	—
1009	#381	C₂²×D₄	1	8	yes	—
1010	#381	C₂²×D₄	1	8	yes	—
1011	#380	C₂²×D₄	1	8	yes	—
1012	#380	C₂²×D₄	1	8	yes	—
1013	#380	C₂⁵	1	8	yes	—
1014	#380	C₂⁵	1	8	yes	—
1015	C₄×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1016	C₄×C₂²⋊C₄	C₂⁵	1	8	yes	—
1017	#342	C₂²×D₄	1	16	yes	—
1018	#342	C₂²×D₄	1	16	yes	—
1019	C₂⁵	C₂×C₄×D₄	1	2	yes	—
1020	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1021	C₂×#41	C₂²×C₂²⋊C₄	1	8	yes	—
1022	C₂×#41	C₂²×C₂²⋊C₄	1	8	yes	—
1023	C₂×#41	C₂²×C₂²⋊C₄	1	16	yes	—
1024	C₂²×Q₈	C₂×C₄×D₄	1	1	yes	characteristic
1025	C₂²×Q₈	C₂×C₄×D₄	1	2	yes	—
1026	C₂²×Q₈	C₂×C₄×D₄	1	1	yes	characteristic
1027	C₂²×Q₈	C₂⁴×C₄	1	2	yes	—
1028	C₂²×Q₈	C₂⁴×C₄	1	4	yes	—
1029	C₂²×Q₈	C₂³×D₄	1	8	yes	—
1030	C₂²×D₄	C₂²×C₂²⋊C₄	1	8	yes	—
1031	C₂²×D₄	C₂²×C₂²⋊C₄	1	8	yes	—
1032	C₂²×D₄	C₂²×C₂²⋊C₄	1	16	yes	—
1033	C₂²×D₄	C₂×C₄×D₄	1	1	yes	characteristic
1034	C₂²×D₄	C₂×C₄×D₄	1	2	yes	—
1035	C₂²×D₄	C₂×C₄×D₄	1	2	yes	—
1036	C₂²×D₄	C₂×C₄×D₄	1	2	yes	—
1037	C₂²×D₄	C₂×C₄×D₄	1	1	yes	characteristic
1038	C₂²×D₄	C₂⁴×C₄	1	2	yes	—
1039	C₂²×D₄	C₂⁴×C₄	1	4	yes	—
1040	C₂²×D₄	C₂⁴×C₄	1	4	yes	—
1041	C₂²×D₄	C₂⁴×C₄	1	8	yes	—
1042	C₂²×D₄	C₂³×D₄	1	8	yes	—
1043	C₂²×D₄	C₂³×D₄	1	16	yes	—
1044	C₂²×D₄	C₂³×D₄	1	2	yes	—
1045	C₂²×D₄	C₂³×D₄	1	2	yes	—
1046	C₂³×C₄	C₂×C₄×D₄	1	2	yes	—
1047	C₂³×C₄	C₂×C₄×D₄	1	2	yes	—
1048	C₂³×C₄	C₂×C₄×D₄	1	2	yes	—
1049	C₂³×C₄	C₂×C₄×D₄	1	2	yes	—
1050	C₂³×C₄	C₂×C₄×D₄	1	2	yes	—
1051	C₂³×C₄	C₂×C₄×D₄	1	2	yes	—
1052	C₂³×C₄	C₂×C₄×D₄	1	2	yes	—
1053	C₂³×C₄	C₂×C₄×D₄	1	2	yes	—
1054	C₂³×C₄	C₂×C₄×D₄	1	2	yes	—
1055	C₂³×C₄	C₂×C₄×D₄	1	2	yes	—
1056	C₂³×C₄	C₂×C₄×D₄	1	2	yes	—
1057	C₂³×C₄	C₂×C₄×D₄	1	2	yes	—
1058	C₂³×C₄	C₂×C₄×D₄	1	2	yes	—
1059	C₂³×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1060	C₂³×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1061	C₂³×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1062	C₂³×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1063	C₂³×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1064	C₂³×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1065	C₂³×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1066	C₂³×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1067	C₂³×C₄	D₄²	1	2	yes	—
1068	C₂³×C₄	D₄²	1	2	yes	—
1069	C₂³×C₄	D₄²	1	2	yes	—
1070	C₂³×C₄	D₄²	1	2	yes	—
1071	C₂³×C₄	D₄²	1	2	yes	—
1072	C₂³×C₄	D₄²	1	2	yes	—
1073	C₂³×C₄	D₄²	1	2	yes	—
1074	C₂³×C₄	D₄²	1	2	yes	—
1075	C₂³×C₄	C₂⁴×C₄	1	1	yes	characteristic
1076	C₂³×C₄	C₂⁴×C₄	1	2	yes	—
1077	C₂³×C₄	C₂⁴×C₄	1	2	yes	—
1078	C₂³×C₄	C₂⁴×C₄	1	1	yes	characteristic
1079	C₂³×C₄	C₂³×D₄	1	2	yes	—
1080	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1081	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1082	C₂³×C₄	C₂³×D₄	1	2	yes	—
1083	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1084	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1085	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1086	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
1087	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
1088	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1089	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1090	C₂³×C₄	C₂⁶	1	1	yes	characteristic
1091	C₂×SD₁₆	C₂²×C₂²⋊C₄	1	32	yes	—
1092	C₂×SD₁₆	C₂²×C₂²⋊C₄	1	32	yes	—
1093	C₂×SD₁₆	C₂²×C₂²⋊C₄	1	64	yes	—
1094	C₂×D₈	C₂²×C₂²⋊C₄	1	32	yes	—
1095	C₂×D₈	C₂²×C₂²⋊C₄	1	32	yes	—
1096	C₂×D₈	C₂²×C₂²⋊C₄	1	64	yes	—
1097	C₂×M₁₆	C₂²×C₂²⋊C₄	1	2	yes	—
1098	C₂×M₁₆	C₂²×C₂²⋊C₄	1	4	yes	—
1099	C₂×M₁₆	C₂²×C₂²⋊C₄	1	4	yes	—
1100	C₂×M₁₆	C₂²×C₂²⋊C₄	1	8	yes	—
1101	C₂×M₁₆	C₂²×C₂²⋊C₄	1	4	yes	—
1102	C₂×M₁₆	C₂²×C₂²⋊C₄	1	8	yes	—
1103	C₂×M₁₆	C₂²×C₂²⋊C₄	1	2	yes	—
1104	C₂²×C₈	C₂⁴×C₄	1	4	yes	—
1105	C₂²×C₈	C₂⁴×C₄	1	8	yes	—
1106	C₂²×C₈	C₂⁴×C₄	1	4	yes	—
1107	C₂²×C₈	C₂³×D₄	1	8	yes	—
1108	C₂²×C₈	C₂³×D₄	1	8	yes	—
1109	C₄⋊Q₈	C₂²×C₂²⋊C₄	1	4	yes	—
1110	C₄⋊Q₈	C₂²×C₂²⋊C₄	1	4	yes	—
1111	C₄⋊Q₈	C₂²×C₂²⋊C₄	1	8	yes	—
1112	#127	C₂²×C₂²⋊C₄	1	8	yes	—
1113	#127	C₂²×C₂²⋊C₄	1	8	yes	—
1114	#127	C₂²×C₂²⋊C₄	1	8	yes	—
1115	#127	C₂²×C₂²⋊C₄	1	8	yes	—
1116	#127	C₂²×C₂²⋊C₄	1	4	yes	—
1117	#127	C₂²×C₂²⋊C₄	1	4	yes	—
1118	#127	C₂²×C₂²⋊C₄	1	16	yes	—
1119	#127	C₂²×C₂²⋊C₄	1	16	yes	—
1120	#127	C₂²×C₂²⋊C₄	1	8	yes	—
1121	#124	C₂²×C₂²⋊C₄	1	8	yes	—
1122	#124	C₂²×C₂²⋊C₄	1	8	yes	—
1123	#124	C₂²×C₂²⋊C₄	1	16	yes	—
1124	C₂×C₄⋊C₄	C₂×C₄×D₄	1	1	yes	characteristic
1125	C₂×C₄⋊C₄	C₂×C₄×D₄	1	2	yes	—
1126	C₂×C₄⋊C₄	C₂×C₄×D₄	1	1	yes	characteristic
1127	C₂×C₄⋊C₄	C₂×C₄×D₄	1	2	yes	—
1128	C₂×C₄⋊C₄	C₂×C₄×D₄	1	1	yes	characteristic
1129	C₂×C₄⋊C₄	C₂×C₄×D₄	1	2	yes	—
1130	C₂×C₄⋊C₄	C₂×C₄×D₄	1	1	yes	characteristic
1131	C₂×C₄⋊C₄	C₂×C₄×D₄	1	2	yes	—
1132	C₂×C₄⋊C₄	C₂×C₄×D₄	1	2	yes	—
1133	C₂×C₄⋊C₄	C₂×C₄×D₄	1	2	yes	—
1134	C₂×C₄⋊C₄	C₂×C₄×D₄	1	2	yes	—
1135	C₂×C₄⋊C₄	C₂×C₄×D₄	1	2	yes	—
1136	C₂×C₄⋊C₄	C₂⁴×C₄	1	4	yes	—
1137	C₂×C₄⋊C₄	C₂⁴×C₄	1	2	yes	—
1138	C₂×C₄⋊C₄	C₂⁴×C₄	1	2	yes	—
1139	C₂×C₄⋊C₄	C₂²×#41	1	2	yes	—
1140	C₂×C₄⋊C₄	C₂²×#41	1	2	yes	—
1141	C₂×C₂²⋊C₄	C₂×C₄×D₄	1	2	yes	—
1142	C₂×C₂²⋊C₄	C₂×C₄×D₄	1	2	yes	—
1143	C₂×C₂²⋊C₄	C₂×C₄×D₄	1	2	yes	—
1144	C₂×C₂²⋊C₄	C₂×C₄×D₄	1	2	yes	—
1145	C₂×C₂²⋊C₄	C₂×C₄×D₄	1	2	yes	—
1146	C₂×C₂²⋊C₄	C₂×C₄×D₄	1	2	yes	—
1147	C₂×C₂²⋊C₄	C₂×C₄×D₄	1	2	yes	—
1148	C₂×C₂²⋊C₄	C₂×C₄×D₄	1	2	yes	—
1149	C₂×C₂²⋊C₄	C₂³×D₄	1	16	yes	—
1150	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1151	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1152	C₂×C₂²⋊C₄	C₂²×#41	1	2	yes	—
1153	C₂×C₂²⋊C₄	C₂²×#41	1	2	yes	—
1154	C₂×C₄²	C₂²×C₂²⋊C₄	1	2	yes	—
1155	C₂×C₄²	C₂²×C₂²⋊C₄	1	2	yes	—
1156	C₂×C₄²	C₂²×C₂²⋊C₄	1	2	yes	—
1157	C₂×C₄²	C₂²×C₂²⋊C₄	1	2	yes	—
1158	C₂×C₄²	C₂²×C₂²⋊C₄	1	2	yes	—
1159	C₂×C₄²	C₂²×C₂²⋊C₄	1	2	yes	—
1160	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1161	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1162	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1163	C₂×C₄²	C₂²×C₂²⋊C₄	1	1	yes	characteristic
1164	C₂×C₄²	C₂×C₄×D₄	1	2	yes	—
1165	C₂×C₄²	C₂×C₄×D₄	1	2	yes	—
1166	C₂×C₄²	C₂×C₄×D₄	1	2	yes	—
1167	C₂×C₄²	C₂×C₄×D₄	1	2	yes	—
1168	C₂×C₄²	C₂×C₄×D₄	1	2	yes	—
1169	C₂×C₄²	C₂×C₄×D₄	1	2	yes	—
1170	C₂×C₄²	C₂×C₄×D₄	1	2	yes	—
1171	C₂×C₄²	C₂×C₄×D₄	1	2	yes	—
1172	C₂×C₄²	C₂×C₄×D₄	1	2	yes	—
1173	C₂×C₄²	C₂×C₄×D₄	1	2	yes	—
1174	C₂×C₄²	C₂×C₄×D₄	1	1	yes	characteristic
1175	C₂×C₄²	C₂×C₄×D₄	1	1	yes	characteristic
1176	C₂×C₄²	C₂×C₄×D₄	1	1	yes	characteristic
1177	C₂×C₄²	C₂×C₄×D₄	1	1	yes	characteristic
1178	C₂×C₄²	C₂×C₄×D₄	1	1	yes	characteristic
1179	C₂×C₄²	C₂×C₄×D₄	1	1	yes	characteristic
1180	C₂×C₄²	C₂×C₄×D₄	1	1	yes	characteristic
1181	C₂×C₄²	C₂×C₄×D₄	1	1	yes	characteristic
1182	C₂×C₄²	#518	1	2	yes	—
1183	C₂×C₄²	#518	1	2	yes	—
1184	C₂×C₄²	#518	1	2	yes	—
1185	C₂×C₄²	#518	1	2	yes	—
1186	C₂×C₄²	#518	1	2	yes	—
1187	C₂×C₄²	#518	1	2	yes	—
1188	C₂×C₄²	#518	1	1	yes	characteristic
1189	C₂×C₄²	#518	1	1	yes	characteristic
1190	C₂×C₄²	#518	1	1	yes	characteristic
1191	C₂×C₄²	#518	1	1	yes	characteristic
1192	C₂×C₄²	D₄²	1	2	yes	—
1193	C₂×C₄²	D₄²	1	2	yes	—
1194	C₂×C₄²	D₄²	1	2	yes	—
1195	C₂×C₄²	D₄²	1	2	yes	—
1196	C₂×C₄²	D₄²	1	2	yes	—
1197	C₂×C₄²	D₄²	1	2	yes	—
1198	C₂×C₄²	D₄²	1	2	yes	—
1199	C₂×C₄²	D₄²	1	2	yes	—
1200	C₂×C₄²	#546	1	2	yes	—
1201	C₂×C₄²	#546	1	2	yes	—
1202	C₂×C₄²	#546	1	2	yes	—
1203	C₂×C₄²	#546	1	2	yes	—
1204	C₂×C₄²	#546	1	2	yes	—
1205	C₂×C₄²	#546	1	2	yes	—
1206	C₂×C₄²	#546	1	2	yes	—
1207	C₂×C₄²	#546	1	2	yes	—
1208	C₂×C₄²	#546	1	2	yes	—
1209	C₂×C₄²	#546	1	2	yes	—
1210	C₂×C₄²	#546	1	2	yes	—
1211	C₂×C₄²	#546	1	2	yes	—
1212	C₂×C₄²	#546	1	2	yes	—
1213	C₂×C₄²	#546	1	2	yes	—
1214	C₂×C₄²	#546	1	2	yes	—
1215	C₂×C₄²	#546	1	2	yes	—
1216	C₂×C₄²	C₂⁴×C₄	1	2	yes	—
1217	C₂×C₄²	C₂⁴×C₄	1	2	yes	—
1218	C₂×C₄²	C₂⁴×C₄	1	1	yes	characteristic
1219	C₂×C₄²	C₂⁴×C₄	1	1	yes	characteristic
1220	C₂×C₄²	C₂⁴×C₄	1	1	yes	characteristic
1221	C₂×C₄²	C₂⁴×C₄	1	1	yes	characteristic
1222	C₂×C₄²	C₂³×D₄	1	2	yes	—
1223	C₂×C₄²	C₂³×D₄	1	2	yes	—
1224	C₂×C₄²	C₂³×D₄	1	2	yes	—
1225	C₂×C₄²	C₂³×D₄	1	2	yes	—
1226	C₂×C₄²	C₂²×#41	1	1	yes	characteristic
1227	C₂×C₄²	C₂²×#41	1	1	yes	characteristic
1228	C₂×C₄²	C₂²×#41	1	1	yes	characteristic
1229	C₂×C₄²	C₂²×#41	1	1	yes	characteristic
1230	C₂×C₄²	C₂×H(5,𝔽₂)	1	2	yes	—
1231	C₂×C₄²	C₂×H(5,𝔽₂)	1	2	yes	—
1232	C₂×C₄²	C₂×H(5,𝔽₂)	1	2	yes	—
1233	C₂×C₄²	C₂×H(5,𝔽₂)	1	2	yes	—
1234	#97	C₂²×C₂²⋊C₄	1	2	yes	—
1235	#97	C₂²×C₂²⋊C₄	1	4	yes	—
1236	#97	C₂²×C₂²⋊C₄	1	2	yes	—
1237	#97	C₂²×C₂²⋊C₄	1	4	yes	—
1238	#97	C₂²×C₂²⋊C₄	1	4	yes	—
1239	#97	C₂²×C₂²⋊C₄	1	8	yes	—
1240	#97	C₂²×C₂²⋊C₄	1	8	yes	—
1241	C₄×C₈	C₂²×C₂²⋊C₄	1	2	yes	—
1242	C₄×C₈	C₂²×C₂²⋊C₄	1	4	yes	—
1243	C₄×C₈	C₂²×C₂²⋊C₄	1	2	yes	—
1244	C₄×C₈	C₂²×C₂²⋊C₄	1	4	yes	—
1245	C₄×C₈	C₂²×C₂²⋊C₄	1	4	yes	—
1246	C₄×C₈	C₂²×C₂²⋊C₄	1	8	yes	—
1247	C₄×C₈	C₂²×C₂²⋊C₄	1	8	yes	—
1248	C₂⁴	C₂²×C₄×D₄	1	1	yes	characteristic
1249	C₂⁴	C₂²×C₄×D₄	1	2	yes	—
1250	C₂⁴	C₂²×C₄×D₄	1	2	yes	—
1251	C₂⁴	C₂²×C₄×D₄	1	1	yes	characteristic
1252	C₂⁴	C₂×D₄²	1	2	yes	—
1253	C₂⁴	C₂×D₄²	1	2	yes	—
1254	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1255	C₂×Q₈	C₂³×C₂²⋊C₄	1	8	yes	—
1256	C₂×D₄	C₂³×C₂²⋊C₄	1	8	yes	—
1257	C₂×D₄	C₂³×C₂²⋊C₄	1	16	yes	—
1258	C₂×D₄	#3585	1	8	yes	—
1259	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1260	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1261	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1262	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1263	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1264	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1265	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1266	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1267	C₂²×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
1268	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1269	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1270	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1271	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1272	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1273	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1274	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1275	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1276	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1277	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1278	C₂²×C₄	D₄×C₂²⋊C₄	1	2	yes	—
1279	C₂²×C₄	C₂³×C₂²⋊C₄	1	2	yes	—
1280	C₂²×C₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
1281	C₂²×C₄	C₂³×C₂²⋊C₄	1	1	yes	characteristic
1282	C₂²×C₄	C₂²×C₄×D₄	1	2	yes	—
1283	C₂²×C₄	C₂²×C₄×D₄	1	2	yes	—
1284	C₂²×C₄	C₂²×C₄×D₄	1	1	yes	characteristic
1285	C₂²×C₄	C₂²×C₄×D₄	1	1	yes	characteristic
1286	C₂²×C₄	C₂²×C₄×D₄	1	1	yes	characteristic
1287	C₂²×C₄	C₂²×C₄×D₄	1	1	yes	characteristic
1288	C₂²×C₄	C₂²×C₄×D₄	1	1	yes	characteristic
1289	C₂²×C₄	C₂²×C₄×D₄	1	1	yes	characteristic
1290	C₂²×C₄	C₂²×C₄×D₄	1	2	yes	—
1291	C₂²×C₄	C₂²×C₄×D₄	1	2	yes	—
1292	C₂²×C₄	C₂²×C₄×D₄	1	2	yes	—
1293	C₂²×C₄	C₂²×C₄×D₄	1	2	yes	—
1294	C₂²×C₄	C₂²×C₄×D₄	1	1	yes	characteristic
1295	C₂²×C₄	C₂²×C₄×D₄	1	1	yes	characteristic
1296	C₂²×C₄	C₂²×C₄×D₄	1	1	yes	characteristic
1297	C₂²×C₄	C₂²×C₄×D₄	1	1	yes	characteristic
1298	C₂²×C₄	C₂×#518	1	1	yes	characteristic
1299	C₂²×C₄	C₂×#518	1	1	yes	characteristic
1300	C₂²×C₄	C₂×#518	1	2	yes	—
1301	C₂²×C₄	C₂×D₄²	1	2	yes	—
1302	C₂²×C₄	C₂×D₄²	1	2	yes	—
1303	C₂²×C₄	C₂×D₄²	1	2	yes	—
1304	C₂²×C₄	C₂×D₄²	1	2	yes	—
1305	C₂²×C₄	C₂×D₄²	1	2	yes	—
1306	C₂²×C₄	C₂×D₄²	1	2	yes	—
1307	C₂²×C₄	C₂×D₄²	1	2	yes	—
1308	C₂²×C₄	C₂×D₄²	1	2	yes	—
1309	C₂²×C₄	C₂×D₄²	1	2	yes	—
1310	C₂²×C₄	C₂×D₄²	1	2	yes	—
1311	C₂²×C₄	C₂×#546	1	2	yes	—
1312	C₂²×C₄	C₂×#546	1	2	yes	—
1313	C₂²×C₄	C₂×#546	1	2	yes	—
1314	C₂²×C₄	C₂×#546	1	2	yes	—
1315	C₂²×C₄	C₂⁵×C₄	1	1	yes	characteristic
1316	C₂²×C₄	C₂⁴×D₄	1	2	yes	—
1317	C₂²×C₄	C₂³×#41	1	1	yes	characteristic
1318	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
1319	M₁₆	#2883	1	8	yes	—
1320	C₂×C₈	C₂³×C₂²⋊C₄	1	4	yes	—
1321	C₂×C₈	C₂³×C₂²⋊C₄	1	8	yes	—
1322	C₂×C₈	C₂³×C₂²⋊C₄	1	4	yes	—
1323	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1324	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1325	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1326	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1327	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1328	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1329	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1330	C₄²	D₄×C₂²⋊C₄	1	1	yes	characteristic
1331	C₄²	D₄×C₂²⋊C₄	1	2	yes	—
1332	C₄²	D₄×C₂²⋊C₄	1	2	yes	—
1333	C₄²	D₄×C₂²⋊C₄	1	2	yes	—
1334	C₄²	D₄×C₂²⋊C₄	1	2	yes	—
1335	C₄²	D₄×C₂²⋊C₄	1	2	yes	—
1336	C₄²	D₄×C₂²⋊C₄	1	2	yes	—
1337	C₄²	D₄×C₂²⋊C₄	1	2	yes	—
1338	C₄²	D₄×C₂²⋊C₄	1	2	yes	—
1339	C₄²	D₄×C₂²⋊C₄	1	2	yes	—
1340	C₄²	D₄×C₂²⋊C₄	1	2	yes	—
1341	C₄²	D₄×C₂²⋊C₄	1	2	yes	—
1342	C₄²	D₄×C₂²⋊C₄	1	2	yes	—
1343	C₄²	C₂³×C₂²⋊C₄	1	1	yes	characteristic
1344	C₄²	C₂³×C₂²⋊C₄	1	1	yes	characteristic
1345	C₄²	C₂³×C₂²⋊C₄	1	2	yes	—
1346	C₄²	C₂³×C₂²⋊C₄	1	1	yes	characteristic
1347	C₄²	C₂³×C₂²⋊C₄	1	1	yes	characteristic
1348	C₄²	C₂³×C₂²⋊C₄	1	2	yes	—
1349	C₄²	C₂×#518	1	1	yes	characteristic
1350	C₄²	C₂×#518	1	1	yes	characteristic
1351	C₄²	C₂×#518	1	1	yes	characteristic
1352	C₄²	C₂×#518	1	1	yes	characteristic
1353	C₄²	C₂×#518	1	2	yes	—
1354	C₄²	C₂×#518	1	2	yes	—
1355	C₄²	C₂×#546	1	2	yes	—
1356	C₄²	C₂×#546	1	2	yes	—
1357	C₄²	C₂×#546	1	2	yes	—
1358	C₄²	C₂×#546	1	2	yes	—
1359	C₄²	C₂×#546	1	2	yes	—
1360	C₄²	C₂×#546	1	2	yes	—
1361	C₄²	C₂×#546	1	2	yes	—
1362	C₄²	C₂×#546	1	2	yes	—
1363	C₂³	C₂×D₄×C₂²⋊C₄	1	2	yes	—
1364	C₂³	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
1365	C₂³	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
1366	C₂³	#60168	1	4	yes	—
1367	C₂³	C₂³×C₄×D₄	1	1	yes	characteristic
1368	C₂³	C₂²×D₄²	1	2	yes	—
1369	C₂³	C₂×#3585	1	4	yes	—
1370	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
1371	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
1372	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
1373	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
1374	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
1375	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
1376	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
1377	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
1378	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	2	yes	—
1379	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	2	yes	—
1380	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	2	yes	—
1381	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	2	yes	—
1382	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	2	yes	—
1383	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
1384	C₂×C₄	C₂×D₄×C₂²⋊C₄	1	1	yes	characteristic
1385	C₂×C₄	C₂×#2883	1	4	yes	—
1386	C₂×C₄	#60168	1	4	yes	—
1387	C₂×C₄	C₂⁴×C₂²⋊C₄	1	1	yes	characteristic
1388	C₂×C₄	C₂²×#518	1	1	yes	characteristic
1389	C₂×C₄	C₂²×#546	1	2	yes	—
1390	C₈	C₂×#2883	1	8	yes	—
1391	C₂²	#6379015	1	2	yes	—
1392	C₂²	C₂²×D₄×C₂²⋊C₄	1	1	yes	characteristic
1393	C₂²	C₂×#60168	1	2	yes	—
1394	C₂²	#10576108	1	4	yes	—
1395	C₄	#6379015	1	2	yes	—
1396	C₄	#6379185	1	2	yes	—
1397	C₄	C₂²×#2883	1	2	yes	—
1398	C₂	#72249558	1	1	yes	characteristic
1399	C₂	C₂×#6379185	1	1	yes	characteristic
1400	C₂	C₂×#6379015	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂²×D₄×C₂²⋊C₄
commutator	C₂²×C₄	C₂⁵×C₄
Frattini, cosocle	C₂³×C₄	C₂⁶
prime radical	C₂×#10579229	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂³×C₄² ◁ G
LECS	G ▷ C₂³×C₄ ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72316225	C₂	semidirect
2. #72316224	C₂	semidirect
3. #72316222	C₂	semidirect
4. #72316221	C₂	semidirect
5. #72316220	C₂	semidirect
6. #72316219	C₂	semidirect
7. #72316218	C₂	semidirect
8. #72316215	C₂	semidirect
9. #72316150	C₂	semidirect
10. #72315937	C₂	semidirect
11. #72315839	C₂	semidirect
13. #99×AGL(1,ℤ/8)	C₂	semidirect
14. C₂×#6385980	C₂	semidirect
15. #72306648	C₂	semidirect
16. #72306555	C₂	semidirect
17. #72279835	C₂	semidirect
20. C₂×#62453	C₄	semidirect
21. C₂×#62447	C₄	semidirect
23. C₂×#62423	C₄	semidirect
25. C₂×#62421	C₄	semidirect
29. C₂×#61402	C₄	semidirect
30. C₂×D₄×AGL(1,ℤ/8)	C₄	semidirect
32. C₂×#60803	C₄	semidirect
34. C₂×#60798	C₄	semidirect
36. C₂×#60700	C₄	semidirect
38. C₂²×#3151	C₄	semidirect
41. #7625966	C₂²	semidirect
42. C₂×#34364	C₂²	semidirect
43. #6389887	C₂²	semidirect
44. #6389868	C₂²	semidirect
45. #6389867	C₂²	semidirect
46. #6386373	C₂²	semidirect
47. #6386295	C₂²	semidirect
48. #6386226	C₂²	semidirect
49. #6386116	C₂²	semidirect
51. #6385980	C₂²	semidirect
52. #6385980	C₂²	semidirect
53. #6385980	C₂²	semidirect
54. #41×#99	C₂²	semidirect
55. C₂²⋊C₄×AGL(1,ℤ/8)	C₂²	semidirect
56. C₂×D₄×#99	C₂²	semidirect
57. #6374578	C₂²	semidirect
58. #6374310	C₂²	semidirect
59. #6374304	C₂²	semidirect
60. C₂×#21794	C₂²	semidirect
61. #6371210	C₂²	semidirect
65. #6370009	C₂²	semidirect
66. #6343377	C₂²	semidirect
67. #6343372	C₂²	semidirect
69. SD₁₆×#99	C₂²	semidirect
70. D₈×#99	C₂²	semidirect
71. #220265	C₂²	semidirect
72. #220264	C₂²	semidirect
73. #220245	C₂²	semidirect
74. #220244	C₂²	semidirect
75. #205799	C₂²	semidirect
76. #205797	C₂²	semidirect
77. #205755	C₂²	semidirect
78. #205753	C₂²	semidirect
79. #198487	C₂²	semidirect
80. #198480	C₂²	semidirect
81. #198480	C₂²	semidirect
82. #198477	C₂²	semidirect
83. #198456	C₂²	semidirect
84. #198447	C₂²	semidirect
85. #198416	C₂²	semidirect
86. #198404	C₂²	semidirect
87. #188815	C₂²	semidirect
88. #188814	C₂²	semidirect
89. #188813	C₂²	semidirect
90. #188809	C₂²	semidirect
91. #185669	C₂²	semidirect
92. #185666	C₂²	semidirect
93. #185663	C₂²	semidirect
95. #185660	C₂²	semidirect
96. #185660	C₂²	semidirect
97. #185655	C₂²	semidirect
98. #185643	C₂²	semidirect
99. #185641	C₂²	semidirect
100. #185628	C₂²	semidirect
101. #183093	C₂²	semidirect
102. M₁₆×#99	C₂²	semidirect
103. #182085	C₂²	semidirect
104. #182081	C₂²	semidirect
105. #181483	C₂²	semidirect
106. #181239	C₂²	semidirect
107. C₂³×AGL(1,ℤ/8)	C₂×C₄	semidirect
109. C₂×#3511	C₂×C₄	semidirect
111. C₂×#3508	C₂×C₄	semidirect
114. C₂×#3498	C₂×C₄	semidirect
115. C₂×#3498	C₂×C₄	semidirect
116. C₂×#3498	C₂×C₄	semidirect
121. C₂×#3517	C₂×C₄	semidirect
122. C₂×#3514	C₂×C₄	semidirect
124. C₂×#3480	C₂×C₄	semidirect
125. C₂×D₄×#41	C₂×C₄	semidirect
127. C₂²×#550	C₂×C₄	semidirect
128. C₂²×D₄²	C₂×C₄	semidirect
130. C₂×#3444	C₂×C₄	semidirect
132. C₂²×#532	C₂×C₄	semidirect
133. C₂²×#532	C₂×C₄	semidirect
136. C₂³×#127	C₂×C₄	semidirect
139. C₂×#3399	C₂×C₄	semidirect
140. C₂×#3399	C₂×C₄	semidirect
141. C₂×#3397	C₂×C₄	semidirect
142. C₂×#3397	C₂×C₄	semidirect
143. C₂×#3392	C₂×C₄	semidirect
144. C₂×#3391	C₂×C₄	semidirect
145. C₂×D₄×SD₁₆	C₂×C₄	semidirect
147. C₂×D₄×D₈	C₂×C₄	semidirect
149. C₂×#3274	C₂×C₄	semidirect
150. C₂×#3274	C₂×C₄	semidirect
151. C₂×#3272	C₂×C₄	semidirect
152. C₂×#3272	C₂×C₄	semidirect
153. C₂×#3265	C₂×C₄	semidirect
154. C₂×#3265	C₂×C₄	semidirect
156. C₂×#3264	C₂×C₄	semidirect
157. C₂×#3264	C₂×C₄	semidirect
159. C₂×#3214	C₂×C₄	semidirect
160. C₂×#3214	C₂×C₄	semidirect
161. C₂×#3217	C₂×C₄	semidirect
162. C₂×#3217	C₂×C₄	semidirect
163. C₂×#3217	C₂×C₄	semidirect
165. C₂×#3213	C₂×C₄	semidirect
167. C₂×#3207	C₂×C₄	semidirect
168. C₂×#3207	C₂×C₄	semidirect
169. C₂×#3207	C₂×C₄	semidirect
170. C₂×#3206	C₂×C₄	semidirect
172. C₂×#3208	C₂×C₄	semidirect
173. C₂×#3208	C₂×C₄	semidirect
174. C₂×#3208	C₂×C₄	semidirect
176. C₂×#3205	C₂×C₄	semidirect
177. C₂×#3205	C₂×C₄	semidirect
178. C₂×#3205	C₂×C₄	semidirect
179. C₂×#3205	C₂×C₄	semidirect
182. C₂×#3184	C₂×C₄	semidirect
183. C₂×#3184	C₂×C₄	semidirect
184. C₂×#3182	C₂×C₄	semidirect
185. C₂×#3182	C₂×C₄	semidirect
186. C₂×#3180	C₂×C₄	semidirect
188. C₂×#3171	C₂×C₄	semidirect
189. C₂×#3171	C₂×C₄	semidirect
190. C₂×#3169	C₂×C₄	semidirect
192. C₂×#3167	C₂×C₄	semidirect
194. C₂×#3165	C₂×C₄	semidirect
200. C₂×#3151	C₂×C₄	semidirect
201. C₂×#3151	C₂×C₄	semidirect
202. C₂×#3151	C₂×C₄	semidirect
203. C₂×#3151	C₂×C₄	semidirect
204. C₂×#3151	C₂×C₄	semidirect
205. C₂×#3151	C₂×C₄	semidirect
206. C₂×#3151	C₂×C₄	semidirect
212. C₂²×#496	C₂×C₄	semidirect
214. C₂²×#493	C₂×C₄	semidirect
216. C₂²×#492	C₂×C₄	semidirect
218. C₂×#3141	C₂×C₄	semidirect
219. C₂×#3141	C₂×C₄	semidirect
220. C₂×#3138	C₂×C₄	semidirect
221. C₂×#3138	C₂×C₄	semidirect
222. C₂×#3055	C₂×C₄	semidirect
224. C₂×#3038	C₂×C₄	semidirect
225. C₂×#3038	C₂×C₄	semidirect
226. C₂×#3036	C₂×C₄	semidirect
227. C₂×#3036	C₂×C₄	semidirect
228. C₂×#3006	C₂×C₄	semidirect
230. C₂×#3003	C₂×C₄	semidirect
232. C₂×#2971	C₂×C₄	semidirect
233. C₂×#2970	C₂×C₄	semidirect
235. C₂×#2965	C₂×C₄	semidirect
238. C₂×Q₈×M₁₆	C₂×C₄	semidirect
239. C₂×C₄×AGL(1,ℤ/8)	C₂×C₄	semidirect
240. C₂×C₄×AGL(1,ℤ/8)	C₂×C₄	semidirect
241. C₂×D₄×M₁₆	C₂×C₄	semidirect
243. C₂×#2920	C₂×C₄	semidirect
246. C₂²×C₄×M₁₆	C₂×C₄	semidirect
248. #34377	C₂³	semidirect
249. #34371	C₂³	semidirect
252. #34364	C₂³	semidirect
258. #22534	C₂³	semidirect
259. Q₈×#99	C₂³	semidirect
260. #22476	C₂³	semidirect
261. C₂²⋊C₄×SD₁₆	C₂³	semidirect
262. C₂²⋊C₄×D₈	C₂³	semidirect
263. #22437	C₂³	semidirect
264. #22436	C₂³	semidirect
267. D₄×#99	C₂³	semidirect
268. #21875	C₂³	semidirect
269. #21826	C₂³	semidirect
270. #21811	C₂³	semidirect
272. #21810	C₂³	semidirect
273. #21806	C₂³	semidirect
277. #21794	C₂³	semidirect
280. #20823	C₂³	semidirect
281. #20818	C₂³	semidirect
302. #20481	C₂³	semidirect
303. #20476	C₂³	semidirect
306. #17596	C₂³	semidirect
308. #17595	C₂³	semidirect
312. #17567	C₂³	semidirect
317. #9786	C₂³	semidirect
318. #9785	C₂³	semidirect
319. #9783	C₂³	semidirect
320. #9781	C₂³	semidirect
321. #9262	C₂³	semidirect
322. #9259	C₂³	semidirect
323. #9259	C₂³	semidirect
324. #9255	C₂³	semidirect
325. #8610	C₂³	semidirect
326. #8609	C₂³	semidirect
327. #8608	C₂³	semidirect
328. #8381	C₂³	semidirect
329. #8379	C₂³	semidirect
330. #8377	C₂³	semidirect
333. #8375	C₂³	semidirect
334. #8161	C₂³	semidirect
335. #8160	C₂³	semidirect
336. C₈×#99	C₂³	semidirect
337. #7984	C₂³	semidirect
339. #7980	C₂³	semidirect
341. #7928	C₂³	semidirect
342. #7926	C₂³	semidirect
354. C₂²×AGL(1,ℤ/8)	C₂²×C₄	semidirect
355. C₂²×AGL(1,ℤ/8)	C₂²×C₄	semidirect
359. C₂³×SD₁₆	C₂²×C₄	semidirect
361. C₂³×D₈	C₂²×C₄	semidirect
365. C₂×#559	C₂²×C₄	semidirect
366. C₂×#559	C₂²×C₄	semidirect
367. C₂×#557	C₂²×C₄	semidirect
368. C₂×#556	C₂²×C₄	semidirect
369. C₂×#556	C₂²×C₄	semidirect
374. C₂×#550	C₂²×C₄	semidirect
375. C₂×#550	C₂²×C₄	semidirect
376. C₂×D₄×Q₈	C₂²×C₄	semidirect
379. C₂×#548	C₂²×C₄	semidirect
382. C₂×#547	C₂²×C₄	semidirect
384. C₂×#546	C₂²×C₄	semidirect
391. C₂×D₄²	C₂²×C₄	semidirect
397. C₂×#533	C₂²×C₄	semidirect
398. C₂×#533	C₂²×C₄	semidirect
413. C₂×#532	C₂²×C₄	semidirect
414. C₂×#532	C₂²×C₄	semidirect
415. C₂×#532	C₂²×C₄	semidirect
416. C₂×#532	C₂²×C₄	semidirect
417. C₂×#532	C₂²×C₄	semidirect
426. C₂²×C₄⋊Q₈	C₂²×C₄	semidirect
438. C₂²×#127	C₂²×C₄	semidirect
447. C₂×#529	C₂²×C₄	semidirect
448. C₂×#529	C₂²×C₄	semidirect
450. C₂²×#124	C₂²×C₄	semidirect
482. C₂×#501	C₂²×C₄	semidirect
483. C₂×#500	C₂²×C₄	semidirect
484. C₂×#498	C₂²×C₄	semidirect
507. C₂×#496	C₂²×C₄	semidirect
508. C₂×#496	C₂²×C₄	semidirect
509. C₂×#496	C₂²×C₄	semidirect
510. C₂×#496	C₂²×C₄	semidirect
518. C₂×#493	C₂²×C₄	semidirect
519. C₂×#493	C₂²×C₄	semidirect
520. C₂×#493	C₂²×C₄	semidirect
528. C₂×#492	C₂²×C₄	semidirect
529. C₂×#492	C₂²×C₄	semidirect
530. C₂×#492	C₂²×C₄	semidirect
535. C₂×#490	C₂²×C₄	semidirect
536. C₂×#489	C₂²×C₄	semidirect
537. C₂×#489	C₂²×C₄	semidirect
538. C₂×#487	C₂²×C₄	semidirect
539. C₂×#487	C₂²×C₄	semidirect
542. C₂×#486	C₂²×C₄	semidirect
543. C₂×#486	C₂²×C₄	semidirect
544. C₂×#486	C₂²×C₄	semidirect
545. C₂×#486	C₂²×C₄	semidirect
547. C₂×#469	C₂²×C₄	semidirect
549. C₂×#468	C₂²×C₄	semidirect
550. C₂×#466	C₂²×C₄	semidirect
552. C₂×#465	C₂²×C₄	semidirect
556. C₂×#460	C₂²×C₄	semidirect
557. C₂×#460	C₂²×C₄	semidirect
558. C₂×#463	C₂²×C₄	semidirect
559. C₂×#463	C₂²×C₄	semidirect
560. C₂×#463	C₂²×C₄	semidirect
561. C₂×#461	C₂²×C₄	semidirect
562. C₂×#461	C₂²×C₄	semidirect
565. C₂×#459	C₂²×C₄	semidirect
566. C₂×#459	C₂²×C₄	semidirect
567. C₂×#459	C₂²×C₄	semidirect
568. C₂×#459	C₂²×C₄	semidirect
570. C₂×#449	C₂²×C₄	semidirect
571. C₂×#449	C₂²×C₄	semidirect
572. C₂×#448	C₂²×C₄	semidirect
575. C₂×#450	C₂²×C₄	semidirect
576. C₂×#450	C₂²×C₄	semidirect
579. C₂×#447	C₂²×C₄	semidirect
580. C₂×#447	C₂²×C₄	semidirect
581. C₂×#447	C₂²×C₄	semidirect
584. C₂×#446	C₂²×C₄	semidirect
585. C₂×#446	C₂²×C₄	semidirect
586. C₂×C₈×Q₈	C₂²×C₄	semidirect
587. C₂×#442	C₂²×C₄	semidirect
588. C₂×#442	C₂²×C₄	semidirect
589. C₂×#440	C₂²×C₄	semidirect
590. C₂×#440	C₂²×C₄	semidirect
591. C₂×C₄×SD₁₆	C₂²×C₄	semidirect
592. C₂×C₄×SD₁₆	C₂²×C₄	semidirect
593. C₂×C₄×D₈	C₂²×C₄	semidirect
594. C₂×C₄×D₈	C₂²×C₄	semidirect
596. C₂×#436	C₂²×C₄	semidirect
598. C₂×#435	C₂²×C₄	semidirect
600. C₂×C₈×D₄	C₂²×C₄	semidirect
603. C₂×#432	C₂²×C₄	semidirect
604. C₂×#432	C₂²×C₄	semidirect
608. C₂×#431	C₂²×C₄	semidirect
609. C₂×#431	C₂²×C₄	semidirect
630. C₂×C₄×M₁₆	C₂²×C₄	semidirect
631. C₂×C₄×M₁₆	C₂²×C₄	semidirect
637. C₂²×#97	C₂²×C₄	semidirect
639. C₂²×C₄×C₈	C₂²×C₄	semidirect

Maximal subgroups

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

subgroup	index
#72316225	2
#72316224	2
#72316222	2
#72316221	2
#72316220	2
#72316219	2
#72316218	2
#72316215	2
#72316150	2
#72315937	2
#72315839	2
C₂×#10579229	2
#99×AGL(1,ℤ/8)	2
C₂×#6385980	2
#72306648	2
#72306555	2
#72279835	2