Subgroups — #72281719

Order 1024.

Only the 34373 normal subgroups are shown; non-normal subgroups are omitted.

The subgroup lattice has 1531 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#63090	C₂	1	2	yes	maximal, complemented
2	#10586020	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#62853	C₂	1	1	yes	maximal, characteristic, complemented
4	#10576134	C₂	1	8	yes	maximal, complemented
5	#10576133	C₂	1	8	yes	maximal, complemented
6	#10576132	C₂	1	8	yes	maximal, complemented
7	#10576131	C₂	1	8	yes	maximal, complemented
8	#10576124	C₂	1	16	yes	maximal, complemented
9	#10576123	C₂	1	16	yes	maximal, complemented
10	#10576115	C₂	1	8	yes	maximal, complemented
11	#10576114	C₂	1	8	yes	maximal, complemented
12	#10576113	C₂	1	16	yes	maximal, complemented
13	#10576112	C₂	1	16	yes	maximal, complemented
14	#10575251	C₂	1	1	yes	maximal, characteristic, complemented
15	#10574956	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#60425	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#60456	C₂	1	2	yes	maximal, complemented
18	#10574839	C₂	1	2	yes	maximal, complemented
19	C₂×#60371	C₂	1	2	yes	maximal, complemented
20	#10574202	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#60170	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂²×#585	C₂²	1	2	yes	complemented
23	C₂²×#585	C₂²	1	2	yes	complemented
24	C₂×#3586	C₂²	1	8	yes	complemented
25	C₂×#3586	C₂²	1	8	yes	complemented
26	C₂×#3586	C₂²	1	8	yes	complemented
27	C₂×#3586	C₂²	1	8	yes	complemented
28	C₂×#3585	C₂²	1	8	yes	complemented
29	C₂×#3585	C₂²	1	8	yes	complemented
30	C₂×#3585	C₂²	1	8	yes	complemented
31	C₂×#3585	C₂²	1	8	yes	complemented
32	C₂×#3584	C₂²	1	16	yes	complemented
33	C₂×#3584	C₂²	1	16	yes	complemented
34	C₂²×#575	C₂²	1	1	yes	characteristic
35	C₂²×#575	C₂²	1	2	yes	complemented
36	C₂²×#575	C₂²	1	2	yes	complemented
37	C₂²×#575	C₂²	1	2	yes	complemented
38	C₂²×#575	C₂²	1	2	yes	complemented
39	C₂²×#575	C₂²	1	16	yes	complemented
40	C₂²×#568	C₂²	1	2	yes	complemented
41	#62859	C₂²	1	8	yes	complemented
42	#62853	C₂²	1	8	yes	complemented
43	#62853	C₂²	1	16	yes	complemented
44	#62853	C₂²	1	4	yes	complemented
45	#62853	C₂²	1	8	yes	complemented
46	#62853	C₂²	1	4	yes	complemented
47	#62852	C₂²	1	8	yes	complemented
48	#62848	C₂²	1	4	yes	complemented
49	#62842	C₂²	1	4	yes	complemented
50	#62812	C₂²	1	8	yes	complemented
51	#62811	C₂²	1	16	yes	complemented
52	C₂×#3489	C₂²	1	8	yes	complemented
53	C₂×#3488	C₂²	1	8	yes	complemented
54	C₂×#3497	C₂²	1	4	yes	complemented
55	C₂×#3496	C₂²	1	4	yes	complemented
56	C₂×#3449	C₂²	1	1	yes	characteristic
57	C₂×#3449	C₂²	1	2	yes	complemented
58	C₂×#3449	C₂²	1	1	yes	characteristic, complemented
59	C₂×#3449	C₂²	1	1	yes	characteristic, complemented
60	C₂²×#537	C₂²	1	2	yes	complemented
61	C₂×#3428	C₂²	1	1	yes	characteristic, complemented
62	C₂²×#520	C₂²	1	1	yes	characteristic, complemented
63	#61097	C₂²	1	32	yes	complemented
64	#61096	C₂²	1	64	yes	complemented
65	#61095	C₂²	1	32	yes	complemented
66	#61094	C₂²	1	32	yes	complemented
67	#61093	C₂²	1	32	yes	complemented
68	#61092	C₂²	1	64	yes	complemented
69	#61086	C₂²	1	32	yes	complemented
70	#61085	C₂²	1	32	yes	complemented
71	#61085	C₂²	1	32	yes	complemented
72	#61084	C₂²	1	32	yes	complemented
73	#61081	C₂²	1	32	yes	complemented
74	#61080	C₂²	1	32	yes	complemented
75	#61080	C₂²	1	32	yes	complemented
76	#61079	C₂²	1	32	yes	complemented
77	#61078	C₂²	1	64	yes	complemented
78	#61077	C₂²	1	64	yes	complemented
79	#61076	C₂²	1	64	yes	complemented
80	#61075	C₂²	1	64	yes	complemented
81	#61074	C₂²	1	64	yes	complemented
82	#61073	C₂²	1	64	yes	complemented
83	#61072	C₂²	1	64	yes	complemented
84	#61071	C₂²	1	64	yes	complemented
85	#61070	C₂²	1	32	yes	complemented
86	D₄×#137	C₂²	1	32	yes	complemented
87	#61068	C₂²	1	64	yes	complemented
88	#61067	C₂²	1	32	yes	complemented
89	#61066	C₂²	1	64	yes	complemented
90	D₄×AGL(1,ℤ/8)	C₂²	1	32	yes	complemented
91	#61064	C₂²	1	64	yes	complemented
92	#61063	C₂²	1	64	yes	complemented
93	#61062	C₂²	1	64	yes	complemented
94	#61062	C₂²	1	64	yes	complemented
95	#61057	C₂²	1	64	yes	complemented
96	#61056	C₂²	1	64	yes	complemented
97	#61055	C₂²	1	64	yes	complemented
98	#61055	C₂²	1	64	yes	complemented
99	#60645	C₂²	1	8	yes	complemented
100	#60645	C₂²	1	8	yes	complemented
101	#60644	C₂²	1	8	yes	complemented
102	#60644	C₂²	1	8	yes	complemented
103	#60643	C₂²	1	8	yes	complemented
104	#60643	C₂²	1	8	yes	complemented
105	#60639	C₂²	1	8	yes	complemented
106	#60456	C₂²	1	16	yes	complemented
107	#60456	C₂²	1	16	yes	complemented
108	#60456	C₂²	1	16	yes	complemented
109	#60456	C₂²	1	16	yes	complemented
110	C₂×#3063	C₂²	1	8	yes	complemented
111	C₂×#3062	C₂²	1	8	yes	complemented
112	C₂×#3061	C₂²	1	8	yes	complemented
113	C₂×#3060	C₂²	1	8	yes	complemented
114	C₂×#3056	C₂²	1	8	yes	complemented
115	C₂×#3055	C₂²	1	8	yes	complemented
116	#60427	C₂²	1	8	yes	complemented
117	#60426	C₂²	1	8	yes	complemented
118	#60425	C₂²	1	16	yes	complemented
119	#60425	C₂²	1	8	yes	complemented
120	#60425	C₂²	1	4	yes	complemented
121	#60425	C₂²	1	8	yes	complemented
122	#60425	C₂²	1	4	yes	complemented
123	#60424	C₂²	1	4	yes	complemented
124	#60423	C₂²	1	4	yes	complemented
125	#60422	C₂²	1	16	yes	complemented
126	C₂×#3046	C₂²	1	8	yes	complemented
127	C₂×#3045	C₂²	1	8	yes	complemented
128	#60415	C₂²	1	8	yes	complemented
129	C₂×#3037	C₂²	1	4	yes	complemented
130	C₂×#3036	C₂²	1	4	yes	complemented
131	#60371	C₂²	1	16	yes	complemented
132	#60371	C₂²	1	16	yes	complemented
133	#60371	C₂²	1	16	yes	complemented
134	#60371	C₂²	1	8	yes	complemented
135	#60371	C₂²	1	16	yes	complemented
136	#60371	C₂²	1	8	yes	complemented
137	#60370	C₂²	1	8	yes	complemented
138	#60369	C₂²	1	8	yes	complemented
139	#60368	C₂²	1	8	yes	complemented
140	#60368	C₂²	1	8	yes	complemented
141	#60367	C₂²	1	8	yes	complemented
142	#60367	C₂²	1	8	yes	complemented
143	#60366	C₂²	1	16	yes	complemented
144	#60366	C₂²	1	16	yes	complemented
145	C₂×#3013	C₂²	1	8	yes	complemented
146	C₂×#3013	C₂²	1	8	yes	complemented
147	C₂×#3012	C₂²	1	8	yes	complemented
148	C₂×#3012	C₂²	1	8	yes	complemented
149	#60359	C₂²	1	16	yes	complemented
150	C₂×#3007	C₂²	1	8	yes	complemented
151	C₂×#3006	C₂²	1	8	yes	complemented
152	#60170	C₂²	1	16	yes	complemented
153	#60170	C₂²	1	16	yes	complemented
154	C₂×#2952	C₂²	1	4	yes	complemented
155	C₂×#2951	C₂²	1	4	yes	complemented
156	C₂×#2947	C₂²	1	4	yes	complemented
157	C₂×#2946	C₂²	1	4	yes	complemented
158	C₂×C₄×#137	C₂²	1	4	yes	complemented
159	C₂×C₄×AGL(1,ℤ/8)	C₂²	1	4	yes	complemented
160	#60144	C₂²	1	8	yes	complemented
161	#60143	C₂²	1	8	yes	complemented
162	#60142	C₂²	1	16	yes	complemented
163	#60141	C₂²	1	16	yes	complemented
164	#60140	C₂²	1	8	yes	complemented
165	C₂²×#428	C₂²	1	1	yes	characteristic, complemented
166	C₂×#2905	C₂²	1	1	yes	characteristic, complemented
167	C₂×#2896	C₂²	1	1	yes	characteristic, complemented
168	C₂×#2896	C₂²	1	2	yes	complemented
169	C₂²×#417	C₂²	1	1	yes	characteristic, complemented
170	C₂²×#417	C₂²	1	2	yes	complemented
171	C₂×#2879	C₂²	1	2	yes	complemented
172	C₂×#2873	C₂²	1	1	yes	characteristic, complemented
173	C₂×#585	C₂³	1	8	yes	—
174	C₂×#585	C₂³	1	8	yes	—
175	C₂×#585	C₂³	1	8	yes	—
176	C₂×#585	C₂³	1	8	yes	—
177	C₂×#585	C₂³	1	8	yes	complemented
178	C₂×#585	C₂³	1	8	yes	complemented
179	C₂×#585	C₂³	1	8	yes	complemented
180	C₂×#585	C₂³	1	8	yes	complemented
181	C₂²×2₋¹⁺⁴	C₂³	1	4	yes	—
182	C₂²×2₋¹⁺⁴	C₂³	1	4	yes	complemented
183	C₂²×2₋¹⁺⁴	C₂³	1	4	yes	complemented
184	C₂²×2₋¹⁺⁴	C₂³	1	4	yes	complemented
185	C₂²×H(5,𝔽₂)	C₂³	1	4	yes	—
186	C₂²×H(5,𝔽₂)	C₂³	1	4	yes	complemented
187	C₂²×H(5,𝔽₂)	C₂³	1	4	yes	complemented
188	C₂²×H(5,𝔽₂)	C₂³	1	4	yes	complemented
189	C₂³×#41	C₂³	1	2	yes	—
190	C₂³×#41	C₂³	1	1	yes	characteristic
191	C₂³×#41	C₂³	1	1	yes	characteristic
192	C₂³×#41	C₂³	1	8	yes	—
193	C₂³×#41	C₂³	1	2	yes	—
194	C₂³×#41	C₂³	1	2	yes	—
195	C₂³×#41	C₂³	1	8	yes	complemented
196	C₂×#578	C₂³	1	32	yes	complemented
197	C₂×#578	C₂³	1	32	yes	complemented
198	C₂×#578	C₂³	1	32	yes	complemented
199	C₂×#578	C₂³	1	32	yes	complemented
200	C₂×#577	C₂³	1	32	yes	complemented
201	C₂×#577	C₂³	1	32	yes	complemented
202	C₂×#577	C₂³	1	32	yes	complemented
203	C₂×#577	C₂³	1	32	yes	complemented
204	C₂×#577	C₂³	1	32	yes	complemented
205	C₂×#577	C₂³	1	32	yes	complemented
206	C₂×#577	C₂³	1	32	yes	complemented
207	C₂×#577	C₂³	1	32	yes	complemented
208	C₂×#576	C₂³	1	32	yes	complemented
209	C₂×#576	C₂³	1	32	yes	complemented
210	C₂×#576	C₂³	1	32	yes	complemented
211	C₂×#576	C₂³	1	32	yes	complemented
212	C₂×#575	D₄	1	32	yes	complemented
213	C₂×#575	C₂³	1	8	yes	—
214	C₂×#575	C₂³	1	8	yes	—
215	C₂×#575	C₂³	1	8	yes	—
216	C₂×#575	C₂³	1	8	yes	—
217	C₂×#575	C₂³	1	8	yes	—
218	C₂×#575	C₂³	1	8	yes	—
219	C₂×#575	C₂³	1	8	yes	—
220	C₂×#575	C₂³	1	8	yes	complemented
221	C₂×#575	C₂³	1	8	yes	complemented
222	C₂×#575	C₂³	1	8	yes	complemented
223	C₂×#575	C₂³	1	8	yes	complemented
224	C₂×#575	C₂³	1	8	yes	complemented
225	C₂×#575	C₂³	1	8	yes	complemented
226	C₂×#575	C₂³	1	8	yes	complemented
227	C₂×#575	C₂³	1	8	yes	complemented
228	C₂×#575	C₂³	1	64	yes	complemented
229	C₂×#575	C₂³	1	32	yes	complemented
230	C₂×#575	C₂³	1	32	yes	complemented
231	C₂×#575	C₂³	1	32	yes	complemented
232	C₂×#575	C₂³	1	32	yes	complemented
233	C₂×#575	C₂³	1	8	yes	complemented
234	C₂×#575	C₂³	1	8	yes	complemented
235	C₂×#575	C₂³	1	8	yes	complemented
236	C₂²×#137	C₂³	1	2	yes	—
237	C₂²×#137	C₂³	1	2	yes	—
238	C₂²×#137	C₂³	1	4	yes	—
239	C₂²×#137	C₂³	1	4	yes	—
240	C₂²×#137	C₂³	1	4	yes	complemented
241	C₂²×#137	C₂³	1	4	yes	complemented
242	C₂²×#137	C₂³	1	4	yes	complemented
243	C₂²×#137	C₂³	1	32	yes	complemented
244	C₂²×#137	C₂³	1	32	yes	complemented
245	C₂²×#137	C₂³	1	4	yes	complemented
246	C₂²×#137	C₂³	1	4	yes	complemented
247	C₂²×#137	C₂³	1	4	yes	complemented
248	C₂²×AGL(1,ℤ/8)	C₂³	1	2	yes	—
249	C₂²×AGL(1,ℤ/8)	C₂³	1	2	yes	—
250	C₂²×AGL(1,ℤ/8)	C₂³	1	4	yes	—
251	C₂²×AGL(1,ℤ/8)	C₂³	1	4	yes	—
252	C₂²×AGL(1,ℤ/8)	C₂³	1	4	yes	complemented
253	C₂²×AGL(1,ℤ/8)	C₂³	1	4	yes	complemented
254	C₂²×AGL(1,ℤ/8)	C₂³	1	4	yes	complemented
255	C₂²×AGL(1,ℤ/8)	C₂³	1	32	yes	complemented
256	C₂²×AGL(1,ℤ/8)	C₂³	1	32	yes	complemented
257	C₂²×AGL(1,ℤ/8)	C₂³	1	4	yes	complemented
258	C₂²×AGL(1,ℤ/8)	C₂³	1	4	yes	complemented
259	C₂²×AGL(1,ℤ/8)	C₂³	1	4	yes	complemented
260	C₂²×#135	C₂³	1	4	yes	—
261	C₂²×#135	C₂³	1	8	yes	—
262	C₂²×#135	C₂³	1	8	yes	complemented
263	C₂²×#135	C₂³	1	8	yes	complemented
264	C₂²×#135	C₂³	1	64	yes	complemented
265	C₂²×#135	C₂³	1	8	yes	complemented
266	C₂×#568	C₂³	1	8	yes	—
267	C₂×#568	C₂³	1	8	yes	complemented
268	C₂×#568	C₂³	1	8	yes	complemented
269	C₂×#568	C₂³	1	8	yes	complemented
270	C₂²×#131	C₂³	1	8	yes	complemented
271	C₂²×#131	C₂³	1	8	yes	complemented
272	C₂³×M₁₆	C₂³	1	1	yes	characteristic
273	C₂³×M₁₆	C₂³	1	2	yes	—
274	C₂³×M₁₆	C₂³	1	1	yes	characteristic
275	C₂³×M₁₆	C₂³	1	8	yes	complemented
276	#3500	C₂³	1	32	yes	complemented
277	#3499	C₂³	1	16	yes	complemented
278	#3498	C₂³	1	16	yes	complemented
279	#3497	C₂³	1	32	yes	complemented
280	#3497	C₂³	1	32	yes	complemented
281	#3497	C₂³	1	16	yes	complemented
282	#3497	C₂³	1	16	yes	complemented
283	#3496	C₂³	1	32	yes	complemented
284	#3496	C₂³	1	32	yes	complemented
285	#3496	C₂³	1	16	yes	complemented
286	#3496	C₂³	1	16	yes	complemented
287	#3489	C₂³	1	64	yes	complemented
288	#3489	C₂³	1	64	yes	complemented
289	#3489	C₂³	1	32	yes	complemented
290	#3489	C₂³	1	32	yes	complemented
291	#3488	C₂³	1	64	yes	complemented
292	#3488	C₂³	1	64	yes	complemented
293	#3488	C₂³	1	32	yes	complemented
294	#3488	C₂³	1	32	yes	complemented
295	#3487	C₂³	1	32	yes	complemented
296	#3486	C₂³	1	32	yes	complemented
297	#3485	C₂³	1	32	yes	complemented
298	#3484	C₂³	1	32	yes	complemented
299	D₄×#41	C₂³	1	32	yes	—
300	D₄×#41	C₂³	1	32	yes	—
301	C₂×#550	C₂³	1	8	yes	complemented
302	C₂×D₄×Q₈	C₂³	1	8	yes	complemented
303	C₂×#548	C₂³	1	16	yes	complemented
304	C₂×#547	C₂³	1	8	yes	complemented
305	C₂×#546	C₂³	1	16	yes	complemented
306	C₂×D₄²	C₂³	1	8	yes	complemented
307	#3449	D₄	1	4	yes	—
308	#3449	D₄	1	8	yes	—
309	#3449	D₄	1	4	yes	—
310	#3449	C₂³	1	4	yes	—
311	#3449	C₂³	1	8	yes	—
312	#3449	C₂³	1	4	yes	—
313	#3449	C₂³	1	8	yes	—
314	#3449	C₂³	1	8	yes	—
315	#3449	C₂³	1	4	yes	—
316	#3449	C₂³	1	8	yes	—
317	#3449	C₂³	1	8	yes	complemented
318	#3449	C₂³	1	8	yes	complemented
319	#3449	C₂³	1	8	yes	complemented
320	#3449	C₂³	1	4	yes	complemented
321	#3449	C₂³	1	4	yes	complemented
322	#3449	C₂³	1	4	yes	complemented
323	C₂×#537	D₄	1	2	yes	—
324	C₂×#537	D₄	1	2	yes	—
325	C₂×#537	C₂³	1	8	yes	—
326	C₂×#537	C₂³	1	8	yes	—
327	C₂×#537	C₂³	1	8	yes	—
328	C₂×#537	C₂³	1	4	yes	complemented
329	C₂×#537	C₂³	1	8	yes	complemented
330	C₂×#537	C₂³	1	4	yes	complemented
331	C₂×#537	C₂³	1	8	yes	complemented
332	C₂×#537	C₂³	1	8	yes	complemented
333	C₂×#536	D₄	1	4	yes	—
334	C₂×#536	C₂³	1	4	yes	complemented
335	C₂×#536	C₂³	1	4	yes	complemented
336	C₂×#536	C₂³	1	4	yes	complemented
337	C₂×#535	D₄	1	4	yes	—
338	C₂×#535	C₂³	1	4	yes	complemented
339	C₂×#535	C₂³	1	4	yes	complemented
340	C₂×#535	C₂³	1	4	yes	complemented
341	C₂×#534	D₄	1	4	yes	—
342	C₂×#532	C₂³	1	4	yes	—
343	C₂×#532	C₂³	1	4	yes	—
344	C₂×#532	C₂³	1	4	yes	complemented
345	C₂×#525	C₂³	1	8	yes	—
346	C₂×#525	C₂³	1	8	yes	—
347	C₂²×C₂²⋊Q₈	C₂³	1	4	yes	complemented
348	C₂²×#121	C₂³	1	4	yes	complemented
349	#3428	C₂³	1	8	yes	—
350	#3428	C₂³	1	8	yes	complemented
351	C₂×#520	C₂³	1	4	yes	—
352	C₂×#520	C₂³	1	8	yes	complemented
353	C₂×#520	C₂³	1	2	yes	complemented
354	C₂×#520	C₂³	1	4	yes	complemented
355	C₂×#520	C₂³	1	2	yes	complemented
356	C₂×#520	C₂³	1	8	yes	complemented
357	C₂×#519	C₂³	1	2	yes	complemented
358	C₂×#518	C₂³	1	2	yes	complemented
359	C₂×C₄×#41	C₂³	1	4	yes	—
360	C₂²×C₄×Q₈	C₂³	1	2	yes	complemented
361	C₂²×C₄×D₄	C₂³	1	2	yes	complemented
362	C₂²×#117	C₂³	1	1	yes	characteristic
363	C₂²×#117	C₂³	1	1	yes	characteristic
364	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
365	#3287	C₂³	1	64	yes	complemented
366	D₄×Q₁₆	C₂³	1	64	yes	complemented
367	#3285	C₂³	1	128	yes	complemented
368	#3284	C₂³	1	64	yes	complemented
369	#3284	C₂³	1	64	yes	complemented
370	#3283	C₂³	1	64	yes	complemented
371	#3282	C₂³	1	128	yes	complemented
372	#3282	C₂³	1	128	yes	complemented
373	D₄×SD₁₆	C₂³	1	64	yes	complemented
374	D₄×SD₁₆	C₂³	1	64	yes	complemented
375	#3280	C₂³	1	128	yes	complemented
376	D₄×D₈	C₂³	1	64	yes	complemented
377	#3278	C₂³	1	64	yes	complemented
378	#3278	C₂³	1	64	yes	complemented
379	#3277	C₂³	1	128	yes	complemented
380	#3276	C₂³	1	64	yes	complemented
381	#3276	C₂³	1	64	yes	complemented
382	#3275	C₂³	1	128	yes	complemented
383	#3275	C₂³	1	128	yes	complemented
384	#3274	C₂³	1	64	yes	complemented
385	#3274	C₂³	1	64	yes	complemented
386	#3273	C₂³	1	128	yes	complemented
387	#3272	C₂³	1	64	yes	complemented
388	#3272	C₂³	1	64	yes	complemented
389	#3271	C₂³	1	128	yes	complemented
390	#3271	C₂³	1	128	yes	complemented
391	#3270	C₂³	1	128	yes	complemented
392	#3270	C₂³	1	128	yes	complemented
393	#3269	C₂³	1	128	yes	complemented
394	#3269	C₂³	1	128	yes	complemented
395	#3268	C₂³	1	128	yes	complemented
396	#3268	C₂³	1	128	yes	complemented
397	#3267	C₂³	1	128	yes	complemented
398	#3267	C₂³	1	128	yes	complemented
399	#3266	C₂³	1	128	yes	complemented
400	#3266	C₂³	1	128	yes	complemented
401	#3265	C₂³	1	128	yes	complemented
402	#3265	C₂³	1	128	yes	complemented
403	#3264	C₂³	1	128	yes	complemented
404	#3264	C₂³	1	128	yes	complemented
405	#3156	C₂³	1	32	yes	complemented
406	#3156	C₂³	1	32	yes	complemented
407	#3155	C₂³	1	32	yes	complemented
408	#3155	C₂³	1	32	yes	complemented
409	#3154	C₂³	1	32	yes	complemented
410	#3154	C₂³	1	32	yes	complemented
411	#3154	C₂³	1	32	yes	complemented
412	#3154	C₂³	1	32	yes	complemented
413	#3153	C₂³	1	32	yes	complemented
414	#3153	C₂³	1	32	yes	complemented
415	#3152	C₂³	1	16	yes	complemented
416	#3152	C₂³	1	16	yes	complemented
417	#3151	C₂³	1	16	yes	complemented
418	#3151	C₂³	1	16	yes	complemented
419	#3150	C₂³	1	32	yes	complemented
420	#3147	C₂³	1	32	yes	complemented
421	#3063	C₂³	1	64	yes	complemented
422	#3063	C₂³	1	64	yes	complemented
423	#3062	C₂³	1	64	yes	complemented
424	#3062	C₂³	1	64	yes	complemented
425	#3061	C₂³	1	64	yes	complemented
426	#3061	C₂³	1	64	yes	complemented
427	#3060	C₂³	1	64	yes	complemented
428	#3060	C₂³	1	64	yes	complemented
429	#3056	C₂³	1	64	yes	complemented
430	#3056	C₂³	1	64	yes	complemented
431	#3055	C₂³	1	64	yes	complemented
432	#3055	C₂³	1	64	yes	complemented
433	C₂×#470	C₂³	1	16	yes	complemented
434	C₂×#469	C₂³	1	16	yes	complemented
435	C₂×#468	C₂³	1	16	yes	complemented
436	C₂×#468	C₂³	1	16	yes	complemented
437	C₂×#467	C₂³	1	16	yes	complemented
438	C₂×#466	C₂³	1	16	yes	complemented
439	C₂×#465	C₂³	1	16	yes	complemented
440	C₂×#465	C₂³	1	16	yes	complemented
441	#3046	C₂³	1	64	yes	complemented
442	#3046	C₂³	1	64	yes	complemented
443	#3046	C₂³	1	32	yes	complemented
444	#3046	C₂³	1	32	yes	complemented
445	#3045	C₂³	1	64	yes	complemented
446	#3045	C₂³	1	64	yes	complemented
447	#3045	C₂³	1	32	yes	complemented
448	#3045	C₂³	1	32	yes	complemented
449	#3044	C₂³	1	32	yes	complemented
450	#3043	C₂³	1	32	yes	complemented
451	#3042	C₂³	1	32	yes	complemented
452	#3041	C₂³	1	32	yes	complemented
453	#3040	C₂³	1	32	yes	complemented
454	#3039	C₂³	1	16	yes	complemented
455	#3038	C₂³	1	16	yes	complemented
456	#3037	C₂³	1	16	yes	complemented
457	#3037	C₂³	1	16	yes	complemented
458	#3037	C₂³	1	32	yes	complemented
459	#3037	C₂³	1	32	yes	complemented
460	#3036	C₂³	1	16	yes	complemented
461	#3036	C₂³	1	16	yes	complemented
462	#3036	C₂³	1	32	yes	complemented
463	#3036	C₂³	1	32	yes	complemented
464	#3035	C₂³	1	32	yes	complemented
465	#3035	C₂³	1	32	yes	complemented
466	C₂×#464	C₂³	1	16	yes	complemented
467	C₂×#462	C₂³	1	8	yes	complemented
468	C₂×#460	C₂³	1	8	yes	complemented
469	C₂×#463	C₂³	1	16	yes	complemented
470	C₂×#461	C₂³	1	8	yes	complemented
471	C₂×#459	C₂³	1	8	yes	complemented
472	#3013	C₂³	1	32	yes	complemented
473	#3013	C₂³	1	64	yes	complemented
474	#3013	C₂³	1	32	yes	complemented
475	#3013	C₂³	1	64	yes	complemented
476	#3013	C₂³	1	32	yes	complemented
477	#3013	C₂³	1	64	yes	complemented
478	#3013	C₂³	1	32	yes	complemented
479	#3013	C₂³	1	64	yes	complemented
480	#3012	C₂³	1	32	yes	complemented
481	#3012	C₂³	1	64	yes	complemented
482	#3012	C₂³	1	32	yes	complemented
483	#3012	C₂³	1	64	yes	complemented
484	#3012	C₂³	1	32	yes	complemented
485	#3012	C₂³	1	64	yes	complemented
486	#3012	C₂³	1	32	yes	complemented
487	#3012	C₂³	1	64	yes	complemented
488	#3011	C₂³	1	32	yes	complemented
489	#3011	C₂³	1	32	yes	complemented
490	#3010	C₂³	1	32	yes	complemented
491	#3010	C₂³	1	32	yes	complemented
492	#3009	C₂³	1	32	yes	complemented
493	#3009	C₂³	1	32	yes	complemented
494	#3008	C₂³	1	32	yes	complemented
495	#3008	C₂³	1	32	yes	complemented
496	#3007	C₂³	1	32	yes	complemented
497	#3007	C₂³	1	64	yes	complemented
498	#3007	C₂³	1	32	yes	complemented
499	#3007	C₂³	1	64	yes	complemented
500	#3006	C₂³	1	32	yes	complemented
501	#3006	C₂³	1	64	yes	complemented
502	#3006	C₂³	1	32	yes	complemented
503	#3006	C₂³	1	64	yes	complemented
504	#3005	C₂³	1	32	yes	complemented
505	#3005	C₂³	1	32	yes	complemented
506	#3004	C₂³	1	32	yes	complemented
507	#3003	C₂³	1	32	yes	complemented
508	#3002	C₂³	1	64	yes	complemented
509	#3002	C₂³	1	64	yes	complemented
510	C₂×#452	C₂³	1	16	yes	complemented
511	C₂×#452	C₂³	1	16	yes	complemented
512	C₂×#449	C₂³	1	16	yes	complemented
513	C₂×#449	C₂³	1	16	yes	complemented
514	C₂×#451	C₂³	1	16	yes	complemented
515	C₂×#448	C₂³	1	16	yes	complemented
516	C₂×#450	C₂³	1	16	yes	complemented
517	C₂×#447	C₂³	1	16	yes	complemented
518	#2952	C₂³	1	64	yes	complemented
519	#2951	C₂³	1	64	yes	complemented
520	#2947	C₂³	1	64	yes	complemented
521	#2946	C₂³	1	64	yes	complemented
522	C₄×#137	C₂³	1	32	yes	complemented
523	C₄×#137	C₂³	1	32	yes	complemented
524	C₄×AGL(1,ℤ/8)	C₂³	1	32	yes	complemented
525	C₄×AGL(1,ℤ/8)	C₂³	1	32	yes	complemented
526	C₂×#442	C₂³	1	8	yes	complemented
527	C₂×#441	C₂³	1	8	yes	complemented
528	C₂×#440	C₂³	1	8	yes	complemented
529	C₂×#440	C₂³	1	8	yes	complemented
530	C₂×C₄×Q₁₆	C₂³	1	8	yes	complemented
531	C₂×C₄×SD₁₆	C₂³	1	8	yes	complemented
532	C₂×C₄×SD₁₆	C₂³	1	8	yes	complemented
533	C₂×C₄×D₈	C₂³	1	8	yes	complemented
534	#2935	C₂³	1	32	yes	complemented
535	#2935	C₂³	1	32	yes	complemented
536	D₄×M₁₆	C₂³	1	32	yes	complemented
537	D₄×M₁₆	C₂³	1	32	yes	complemented
538	#2933	C₂³	1	64	yes	complemented
539	#2933	C₂³	1	64	yes	complemented
540	#2932	C₂³	1	32	yes	complemented
541	#2931	C₂³	1	32	yes	complemented
542	#2930	C₂³	1	64	yes	complemented
543	#2929	C₂³	1	64	yes	complemented
544	C₂×#428	C₂³	1	4	yes	complemented
545	C₂×#428	C₂³	1	8	yes	complemented
546	C₂×#428	C₂³	1	8	yes	complemented
547	C₂×#428	C₂³	1	4	yes	complemented
548	C₂²×#107	C₂³	1	2	yes	complemented
549	C₂²×#106	C₂³	1	2	yes	complemented
550	#2905	C₂³	1	4	yes	complemented
551	#2905	C₂³	1	4	yes	complemented
552	#2905	C₂³	1	8	yes	complemented
553	C₂×#424	C₂³	1	8	yes	complemented
554	C₂×#423	C₂³	1	4	yes	complemented
555	#2896	C₂³	1	8	yes	complemented
556	#2896	C₂³	1	8	yes	complemented
557	#2896	C₂³	1	8	yes	complemented
558	#2896	C₂³	1	8	yes	complemented
559	#2896	C₂³	1	8	yes	complemented
560	#2896	C₂³	1	8	yes	complemented
561	C₂×#417	C₂³	1	8	yes	—
562	C₂×#417	C₂³	1	8	yes	—
563	C₂×#417	C₂³	1	4	yes	—
564	C₂×#417	C₂³	1	8	yes	complemented
565	C₂×#417	C₂³	1	2	yes	complemented
566	C₂×#417	C₂³	1	4	yes	complemented
567	C₂×#417	C₂³	1	2	yes	complemented
568	C₂×#417	C₂³	1	4	yes	complemented
569	C₂×#417	C₂³	1	8	yes	complemented
570	C₂×#417	C₂³	1	4	yes	complemented
571	C₂×#417	C₂³	1	8	yes	complemented
572	C₂×#417	C₂³	1	8	yes	complemented
573	C₂×#417	C₂³	1	8	yes	complemented
574	C₂×#417	C₂³	1	8	yes	complemented
575	C₂×#419	C₂³	1	4	yes	complemented
576	C₂×#419	C₂³	1	2	yes	complemented
577	C₂×#418	C₂³	1	4	yes	complemented
578	C₂×#418	C₂³	1	2	yes	complemented
579	C₂×#416	C₂³	1	4	yes	—
580	C₂×#416	C₂³	1	8	yes	complemented
581	C₂²×#103	C₂³	1	2	yes	complemented
582	C₂²×#103	C₂³	1	4	yes	complemented
583	C₂²×#102	C₂³	1	4	yes	complemented
584	C₂²×#102	C₂³	1	2	yes	complemented
585	#2879	C₂³	1	8	yes	—
586	#2879	C₂³	1	8	yes	complemented
587	#2879	C₂³	1	8	yes	complemented
588	#2879	C₂³	1	8	yes	complemented
589	C₂×#408	C₂³	1	8	yes	complemented
590	C₂×#408	C₂³	1	8	yes	complemented
591	C₂×#407	C₂³	1	8	yes	complemented
592	#2873	C₂³	1	8	yes	complemented
593	#2873	C₂³	1	8	yes	complemented
594	C₂×#405	C₂³	1	4	yes	complemented
595	C₂×#405	C₂³	1	4	yes	complemented
596	C₂×C₄×M₁₆	C₂³	1	4	yes	complemented
597	C₂×2₋¹⁺⁴	C₂⁴	1	16	yes	—
598	C₂×2₋¹⁺⁴	C₂⁴	1	16	yes	—
599	C₂×2₋¹⁺⁴	C₂⁴	1	16	yes	—
600	C₂×2₋¹⁺⁴	C₂⁴	1	16	yes	—
601	C₂×2₋¹⁺⁴	C₂⁴	1	16	yes	—
602	C₂×2₋¹⁺⁴	C₂⁴	1	16	yes	—
603	C₂×2₋¹⁺⁴	C₂⁴	1	16	yes	—
604	C₂×2₋¹⁺⁴	C₂⁴	1	16	yes	—
605	C₂×H(5,𝔽₂)	C₂⁴	1	16	yes	—
606	C₂×H(5,𝔽₂)	C₂⁴	1	16	yes	—
607	C₂×H(5,𝔽₂)	C₂⁴	1	16	yes	—
608	C₂×H(5,𝔽₂)	C₂⁴	1	16	yes	—
609	C₂×H(5,𝔽₂)	C₂⁴	1	16	yes	—
610	C₂×H(5,𝔽₂)	C₂⁴	1	16	yes	—
611	C₂×H(5,𝔽₂)	C₂⁴	1	16	yes	—
612	C₂×H(5,𝔽₂)	C₂⁴	1	16	yes	—
613	C₂²×#41	C₂×D₄	1	4	yes	—
614	C₂²×#41	C₂×D₄	1	4	yes	—
615	C₂²×#41	C₂×D₄	1	4	yes	—
616	C₂²×#41	C₂×D₄	1	4	yes	—
617	C₂²×#41	C₂×D₄	1	4	yes	—
618	C₂²×#41	C₂×D₄	1	4	yes	—
619	C₂²×#41	C₂×D₄	1	16	yes	complemented
620	C₂²×#41	C₂×D₄	1	16	yes	complemented
621	C₂²×#41	C₂⁴	1	4	yes	—
622	C₂²×#41	C₂⁴	1	4	yes	—
623	C₂²×#41	C₂⁴	1	4	yes	—
624	C₂²×#41	C₂⁴	1	4	yes	—
625	C₂²×#41	C₂⁴	1	4	yes	—
626	C₂²×#41	C₂⁴	1	4	yes	—
627	C₂²×#41	C₂⁴	1	4	yes	—
628	C₂²×#41	C₂⁴	1	4	yes	—
629	C₂²×#41	C₂⁴	1	2	yes	—
630	C₂²×#41	C₂⁴	1	2	yes	—
631	C₂²×#41	C₂⁴	1	4	yes	—
632	C₂²×#41	C₂⁴	1	2	yes	—
633	C₂²×#41	C₂⁴	1	4	yes	—
634	C₂²×#41	C₂⁴	1	2	yes	—
635	C₂²×#41	C₂⁴	1	4	yes	—
636	C₂²×#41	C₂⁴	1	4	yes	—
637	C₂²×#41	C₂⁴	1	4	yes	—
638	C₂²×#41	C₂⁴	1	4	yes	—
639	C₂²×#41	C₂⁴	1	8	yes	—
640	C₂²×#41	C₂⁴	1	8	yes	—
641	C₂²×#41	C₂⁴	1	4	yes	—
642	C₂²×#41	C₂⁴	1	4	yes	—
643	C₂²×#41	C₂⁴	1	4	yes	—
644	C₂²×#41	C₂⁴	1	4	yes	—
645	C₂²×#41	C₂⁴	1	32	yes	—
646	C₂²×#41	C₂⁴	1	4	yes	—
647	C₂²×#41	C₂⁴	1	4	yes	—
648	C₂²×#41	C₂⁴	1	4	yes	—
649	C₂²×#41	C₂⁴	1	4	yes	—
650	C₂²×#41	C₂⁴	1	32	yes	—
651	C₂²×#41	C₂⁴	1	8	yes	—
652	C₂²×#41	C₂⁴	1	8	yes	—
653	C₂²×#41	C₂⁴	1	32	yes	—
654	C₂²×#41	C₂⁴	1	32	yes	—
655	C₂³×Q₈	C₂×D₄	1	2	yes	—
656	C₂³×Q₈	C₂⁴	1	1	yes	characteristic
657	C₂³×Q₈	C₂⁴	1	1	yes	characteristic
658	C₂³×Q₈	C₂⁴	1	2	yes	—
659	C₂³×Q₈	C₂⁴	1	2	yes	—
660	C₂³×Q₈	C₂⁴	1	8	yes	—
661	C₂³×Q₈	C₂⁴	1	8	yes	—
662	C₂³×D₄	C₂×D₄	1	4	yes	—
663	C₂³×D₄	C₂×D₄	1	2	yes	—
664	C₂³×D₄	C₂⁴	1	1	yes	characteristic
665	C₂³×D₄	C₂⁴	1	1	yes	characteristic
666	C₂³×D₄	C₂⁴	1	2	yes	—
667	C₂³×D₄	C₂⁴	1	2	yes	—
668	C₂³×D₄	C₂⁴	1	8	yes	—
669	C₂³×D₄	C₂⁴	1	8	yes	—
670	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
671	C₂⁴×C₄	C₂⁴	1	4	yes	—
672	#575	C₂×D₄	1	128	yes	complemented
673	#575	C₂×D₄	1	128	yes	complemented
674	C₂×#137	C₂×D₄	1	32	yes	complemented
675	C₂×#137	C₂×D₄	1	32	yes	complemented
676	C₂×#137	C₂⁴	1	8	yes	—
677	C₂×#137	C₂⁴	1	8	yes	—
678	C₂×#137	C₂⁴	1	16	yes	—
679	C₂×#137	C₂⁴	1	16	yes	—
680	C₂×#137	C₂⁴	1	16	yes	—
681	C₂×#137	C₂⁴	1	16	yes	—
682	C₂×#137	C₂⁴	1	16	yes	—
683	C₂×#137	C₂⁴	1	16	yes	—
684	C₂×#137	C₂⁴	1	16	yes	—
685	C₂×#137	C₂⁴	1	16	yes	—
686	C₂×#137	C₂⁴	1	16	yes	—
687	C₂×#137	C₂⁴	1	16	yes	—
688	C₂×#137	C₂⁴	1	16	yes	—
689	C₂×#137	C₂⁴	1	16	yes	—
690	C₂×#137	C₂⁴	1	16	yes	—
691	C₂×#137	C₂⁴	1	16	yes	—
692	C₂×#137	C₂⁴	1	64	yes	—
693	C₂×#137	C₂⁴	1	64	yes	—
694	C₂×#137	C₂⁴	1	16	yes	—
695	C₂×#137	C₂⁴	1	16	yes	—
696	C₂×#137	C₂⁴	1	16	yes	—
697	C₂×#137	C₂⁴	1	64	yes	—
698	C₂×#137	C₂⁴	1	64	yes	—
699	C₂×AGL(1,ℤ/8)	C₂×D₄	1	32	yes	complemented
700	C₂×AGL(1,ℤ/8)	C₂×D₄	1	32	yes	complemented
701	C₂×AGL(1,ℤ/8)	C₂⁴	1	8	yes	—
702	C₂×AGL(1,ℤ/8)	C₂⁴	1	8	yes	—
703	C₂×AGL(1,ℤ/8)	C₂⁴	1	16	yes	—
704	C₂×AGL(1,ℤ/8)	C₂⁴	1	16	yes	—
705	C₂×AGL(1,ℤ/8)	C₂⁴	1	16	yes	—
706	C₂×AGL(1,ℤ/8)	C₂⁴	1	16	yes	—
707	C₂×AGL(1,ℤ/8)	C₂⁴	1	16	yes	—
708	C₂×AGL(1,ℤ/8)	C₂⁴	1	16	yes	—
709	C₂×AGL(1,ℤ/8)	C₂⁴	1	16	yes	—
710	C₂×AGL(1,ℤ/8)	C₂⁴	1	16	yes	—
711	C₂×AGL(1,ℤ/8)	C₂⁴	1	16	yes	—
712	C₂×AGL(1,ℤ/8)	C₂⁴	1	16	yes	—
713	C₂×AGL(1,ℤ/8)	C₂⁴	1	16	yes	—
714	C₂×AGL(1,ℤ/8)	C₂⁴	1	16	yes	—
715	C₂×AGL(1,ℤ/8)	C₂⁴	1	16	yes	—
716	C₂×AGL(1,ℤ/8)	C₂⁴	1	16	yes	—
717	C₂×AGL(1,ℤ/8)	C₂⁴	1	64	yes	—
718	C₂×AGL(1,ℤ/8)	C₂⁴	1	64	yes	—
719	C₂×AGL(1,ℤ/8)	C₂⁴	1	64	yes	—
720	C₂×AGL(1,ℤ/8)	C₂⁴	1	64	yes	—
721	C₂×AGL(1,ℤ/8)	C₂⁴	1	16	yes	—
722	C₂×AGL(1,ℤ/8)	C₂⁴	1	16	yes	—
723	C₂×AGL(1,ℤ/8)	C₂⁴	1	16	yes	—
724	C₂×#135	C₂×D₄	1	64	yes	complemented
725	C₂×#135	C₂⁴	1	32	yes	—
726	C₂×#135	C₂⁴	1	32	yes	—
727	C₂×#135	C₂⁴	1	32	yes	—
728	C₂×#135	C₂⁴	1	32	yes	—
729	C₂×#135	C₂⁴	1	32	yes	—
730	C₂×#135	C₂⁴	1	32	yes	—
731	C₂×#135	C₂⁴	1	64	yes	—
732	C₂×#135	C₂⁴	1	32	yes	—
733	C₂×#135	C₂⁴	1	32	yes	—
734	C₂×#135	C₂⁴	1	32	yes	—
735	C₂×#135	C₂⁴	1	64	yes	—
736	C₂×#135	C₂⁴	1	64	yes	—
737	C₂×#135	C₂⁴	1	64	yes	—
738	C₂²×Q₁₆	C₂⁴	1	4	yes	—
739	C₂²×Q₁₆	C₂⁴	1	8	yes	—
740	C₂²×Q₁₆	C₂⁴	1	8	yes	—
741	C₂²×Q₁₆	C₂⁴	1	8	yes	—
742	C₂²×Q₁₆	C₂⁴	1	8	yes	—
743	C₂²×Q₁₆	C₂⁴	1	64	yes	—
744	C₂²×SD₁₆	C₂⁴	1	4	yes	—
745	C₂²×SD₁₆	C₂⁴	1	4	yes	—
746	C₂²×SD₁₆	C₂⁴	1	8	yes	—
747	C₂²×SD₁₆	C₂⁴	1	8	yes	—
748	C₂²×SD₁₆	C₂⁴	1	8	yes	—
749	C₂²×SD₁₆	C₂⁴	1	8	yes	—
750	C₂²×SD₁₆	C₂⁴	1	8	yes	—
751	C₂²×SD₁₆	C₂⁴	1	8	yes	—
752	C₂²×SD₁₆	C₂⁴	1	8	yes	—
753	C₂²×SD₁₆	C₂⁴	1	64	yes	—
754	C₂²×SD₁₆	C₂⁴	1	64	yes	—
755	C₂²×SD₁₆	C₂⁴	1	8	yes	—
756	C₂²×D₈	C₂⁴	1	4	yes	—
757	C₂²×D₈	C₂⁴	1	8	yes	—
758	C₂²×D₈	C₂⁴	1	8	yes	—
759	C₂²×D₈	C₂⁴	1	8	yes	—
760	C₂²×D₈	C₂⁴	1	8	yes	—
761	C₂²×D₈	C₂⁴	1	64	yes	—
762	C₂×#131	C₂⁴	1	32	yes	—
763	C₂×#131	C₂⁴	1	32	yes	—
764	C₂×#131	C₂⁴	1	32	yes	—
765	C₂×#131	C₂⁴	1	32	yes	—
766	C₂²×M₁₆	C₂×D₄	1	16	yes	complemented
767	C₂²×M₁₆	C₂⁴	1	2	yes	—
768	C₂²×M₁₆	C₂⁴	1	4	yes	—
769	C₂²×M₁₆	C₂⁴	1	2	yes	—
770	C₂²×M₁₆	C₂⁴	1	4	yes	—
771	C₂²×M₁₆	C₂⁴	1	2	yes	—
772	C₂²×M₁₆	C₂⁴	1	2	yes	—
773	C₂²×M₁₆	C₂⁴	1	4	yes	—
774	C₂²×M₁₆	C₂⁴	1	4	yes	—
775	C₂²×M₁₆	C₂⁴	1	4	yes	—
776	C₂²×M₁₆	C₂⁴	1	4	yes	—
777	C₂²×M₁₆	C₂⁴	1	4	yes	—
778	C₂²×M₁₆	C₂⁴	1	4	yes	—
779	C₂²×M₁₆	C₂⁴	1	4	yes	—
780	C₂²×M₁₆	C₂⁴	1	4	yes	—
781	C₂²×M₁₆	C₂⁴	1	16	yes	—
782	C₂²×M₁₆	C₂⁴	1	32	yes	—
783	C₂²×M₁₆	C₂⁴	1	32	yes	—
784	C₂³×C₈	C₂⁴	1	2	yes	—
785	C₂³×C₈	C₂⁴	1	2	yes	—
786	C₂³×C₈	C₂⁴	1	4	yes	—
787	C₂³×C₈	C₂⁴	1	16	yes	—
788	#550	C₂⁴	1	64	yes	—
789	#550	C₂⁴	1	32	yes	—
790	#550	C₂⁴	1	32	yes	—
791	D₄×Q₈	C₂⁴	1	64	yes	—
792	D₄×Q₈	C₂⁴	1	32	yes	—
793	D₄×Q₈	C₂⁴	1	32	yes	—
794	#548	C₂⁴	1	128	yes	—
795	#548	C₂⁴	1	64	yes	—
796	#548	C₂⁴	1	64	yes	—
797	#547	C₂⁴	1	64	yes	—
798	#547	C₂⁴	1	32	yes	—
799	#547	C₂⁴	1	32	yes	—
800	#546	C₂⁴	1	128	yes	—
801	#546	C₂⁴	1	64	yes	—
802	#546	C₂⁴	1	64	yes	—
803	D₄²	C₂⁴	1	64	yes	—
804	D₄²	C₂⁴	1	32	yes	—
805	D₄²	C₂⁴	1	32	yes	—
806	#537	C₂×D₄	1	8	yes	—
807	#537	C₂×D₄	1	8	yes	—
808	#537	C₂×D₄	1	16	yes	—
809	#537	C₂×D₄	1	16	yes	—
810	#537	C₂×D₄	1	8	yes	—
811	#537	C₂×D₄	1	8	yes	—
812	#537	C₂⁴	1	32	yes	—
813	#537	C₂⁴	1	32	yes	—
814	#537	C₂⁴	1	32	yes	—
815	#537	C₂⁴	1	32	yes	—
816	#537	C₂⁴	1	16	yes	—
817	#537	C₂⁴	1	16	yes	—
818	#537	C₂⁴	1	16	yes	—
819	#537	C₂⁴	1	16	yes	—
820	#536	C₂×D₄	1	16	yes	—
821	#536	C₂×D₄	1	16	yes	—
822	#536	C₂×D₄	1	16	yes	—
823	#536	C₂×D₄	1	16	yes	—
824	#536	C₂⁴	1	16	yes	—
825	#536	C₂⁴	1	16	yes	—
826	#536	C₂⁴	1	16	yes	—
827	#536	C₂⁴	1	16	yes	—
828	#536	C₂⁴	1	16	yes	—
829	#536	C₂⁴	1	16	yes	—
830	#535	C₂×D₄	1	16	yes	—
831	#535	C₂×D₄	1	16	yes	—
832	#535	C₂×D₄	1	16	yes	—
833	#535	C₂×D₄	1	16	yes	—
834	#535	C₂⁴	1	16	yes	—
835	#535	C₂⁴	1	16	yes	—
836	#535	C₂⁴	1	16	yes	—
837	#535	C₂⁴	1	16	yes	—
838	#535	C₂⁴	1	16	yes	—
839	#535	C₂⁴	1	16	yes	—
840	#534	C₂×D₄	1	16	yes	—
841	#534	C₂×D₄	1	32	yes	—
842	#534	C₂×D₄	1	16	yes	—
843	#532	C₂×D₄	1	16	yes	—
844	#532	C₂×D₄	1	16	yes	—
845	#532	C₂⁴	1	16	yes	—
846	#532	C₂⁴	1	16	yes	—
847	#532	C₂⁴	1	16	yes	—
848	#532	C₂⁴	1	16	yes	—
849	#532	C₂⁴	1	16	yes	—
850	#532	C₂⁴	1	16	yes	—
851	C₂×C₄⋊Q₈	C₂×D₄	1	4	yes	—
852	C₂×C₄⋊Q₈	C₂⁴	1	4	yes	—
853	C₂×C₄⋊Q₈	C₂⁴	1	4	yes	—
854	C₂×#127	C₂×D₄	1	4	yes	—
855	C₂×#127	C₂⁴	1	4	yes	—
856	C₂×#127	C₂⁴	1	4	yes	—
857	C₂×#124	C₂×D₄	1	8	yes	—
858	C₂×#124	C₂⁴	1	8	yes	—
859	C₂×#124	C₂⁴	1	8	yes	—
860	#525	C₂×D₄	1	32	yes	—
861	#525	C₂×D₄	1	32	yes	—
862	#525	C₂⁴	1	32	yes	—
863	#525	C₂⁴	1	32	yes	—
864	#525	C₂⁴	1	32	yes	—
865	#525	C₂⁴	1	32	yes	—
866	C₂×#123	C₂×D₄	1	16	yes	—
867	C₂×C₂²⋊Q₈	C₂×D₄	1	8	yes	—
868	C₂×C₂²⋊Q₈	C₂×D₄	1	8	yes	—
869	C₂×C₂²⋊Q₈	C₂⁴	1	16	yes	—
870	C₂×C₂²⋊Q₈	C₂⁴	1	16	yes	—
871	C₂×C₂²⋊Q₈	C₂⁴	1	16	yes	—
872	C₂×C₂²⋊Q₈	C₂⁴	1	8	yes	—
873	C₂×C₂²⋊Q₈	C₂⁴	1	8	yes	—
874	C₂×#121	C₂×D₄	1	8	yes	—
875	C₂×#121	C₂×D₄	1	8	yes	—
876	C₂×#121	C₂×D₄	1	8	yes	—
877	C₂×#121	C₂×D₄	1	8	yes	—
878	C₂×#121	C₂⁴	1	16	yes	—
879	C₂×#121	C₂⁴	1	16	yes	—
880	C₂×#121	C₂⁴	1	16	yes	—
881	C₂×#121	C₂⁴	1	8	yes	—
882	C₂×#121	C₂⁴	1	8	yes	—
883	C₂×#120	C₂×D₄	1	16	yes	—
884	#520	C₂⁴	1	32	yes	—
885	#520	C₂⁴	1	32	yes	—
886	#520	C₂⁴	1	16	yes	—
887	#520	C₂⁴	1	16	yes	—
888	#519	C₂⁴	1	16	yes	—
889	#518	C₂⁴	1	16	yes	—
890	C₄×#41	C₂⁴	1	16	yes	—
891	C₄×#41	C₂⁴	1	16	yes	—
892	C₂×C₄×Q₈	C₂⁴	1	8	yes	—
893	C₂×C₄×Q₈	C₂⁴	1	8	yes	—
894	C₂×C₄×Q₈	C₂⁴	1	8	yes	—
895	C₂×C₄×Q₈	C₂⁴	1	4	yes	—
896	C₂×C₄×Q₈	C₂⁴	1	4	yes	—
897	C₂×C₄×D₄	C₂⁴	1	8	yes	—
898	C₂×C₄×D₄	C₂⁴	1	8	yes	—
899	C₂×C₄×D₄	C₂⁴	1	8	yes	—
900	C₂×C₄×D₄	C₂⁴	1	8	yes	—
901	C₂×C₄×D₄	C₂⁴	1	8	yes	—
902	C₂×C₄×D₄	C₂⁴	1	4	yes	—
903	C₂×C₄×D₄	C₂⁴	1	4	yes	—
904	C₂×#117	C₂×D₄	1	4	yes	—
905	C₂×#117	C₂×D₄	1	2	yes	—
906	C₂×#117	C₂×D₄	1	2	yes	—
907	C₂×#117	C₂×D₄	1	4	yes	—
908	C₂×#117	C₂⁴	1	2	yes	—
909	C₂×#117	C₂⁴	1	2	yes	—
910	C₂×#117	C₂⁴	1	4	yes	—
911	C₂×#117	C₂⁴	1	4	yes	—
912	C₂×#117	C₂⁴	1	2	yes	—
913	C₂×#117	C₂⁴	1	4	yes	—
914	C₂×#117	C₂⁴	1	2	yes	—
915	C₂×#117	C₂⁴	1	4	yes	—
916	C₂²×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
917	C₂²×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
918	C₂²×C₄⋊C₄	C₂⁴	1	2	yes	—
919	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
920	C₂²×C₄⋊C₄	C₂⁴	1	4	yes	—
921	C₂²×C₄⋊C₄	C₂⁴	1	2	yes	—
922	C₂²×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
923	C₂²×C₄⋊C₄	C₂⁴	1	2	yes	—
924	C₂²×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
925	C₂²×C₂²⋊C₄	C₂×D₄	1	2	yes	—
926	C₂²×C₄²	C₂⁴	1	2	yes	—
927	#497	C₂⁴	1	64	yes	—
928	#497	C₂⁴	1	64	yes	—
929	#496	C₂⁴	1	64	yes	—
930	#496	C₂⁴	1	64	yes	—
931	#495	C₂⁴	1	64	yes	—
932	#495	C₂⁴	1	64	yes	—
933	#494	C₂⁴	1	32	yes	—
934	#493	C₂⁴	1	32	yes	—
935	#492	C₂⁴	1	32	yes	—
936	#492	C₂⁴	1	32	yes	—
937	#470	C₂⁴	1	128	yes	—
938	#469	C₂⁴	1	128	yes	—
939	#468	C₂⁴	1	128	yes	—
940	#468	C₂⁴	1	128	yes	—
941	#467	C₂⁴	1	128	yes	—
942	#466	C₂⁴	1	128	yes	—
943	#465	C₂⁴	1	128	yes	—
944	#465	C₂⁴	1	128	yes	—
945	#464	C₂⁴	1	64	yes	—
946	#464	C₂⁴	1	128	yes	—
947	#464	C₂⁴	1	64	yes	—
948	#463	C₂⁴	1	64	yes	—
949	#463	C₂⁴	1	128	yes	—
950	#463	C₂⁴	1	64	yes	—
951	#462	C₂⁴	1	32	yes	—
952	#462	C₂⁴	1	64	yes	—
953	#462	C₂⁴	1	32	yes	—
954	#461	C₂⁴	1	32	yes	—
955	#461	C₂⁴	1	64	yes	—
956	#461	C₂⁴	1	32	yes	—
957	#460	C₂⁴	1	32	yes	—
958	#460	C₂⁴	1	64	yes	—
959	#460	C₂⁴	1	32	yes	—
960	#459	C₂⁴	1	32	yes	—
961	#459	C₂⁴	1	64	yes	—
962	#459	C₂⁴	1	32	yes	—
963	#452	C₂⁴	1	128	yes	—
964	#452	C₂⁴	1	128	yes	—
965	#452	C₂⁴	1	64	yes	—
966	#452	C₂⁴	1	64	yes	—
967	#452	C₂⁴	1	64	yes	—
968	#452	C₂⁴	1	64	yes	—
969	#451	C₂⁴	1	128	yes	—
970	#451	C₂⁴	1	64	yes	—
971	#451	C₂⁴	1	64	yes	—
972	#450	C₂⁴	1	128	yes	—
973	#450	C₂⁴	1	64	yes	—
974	#450	C₂⁴	1	64	yes	—
975	#449	C₂⁴	1	128	yes	—
976	#449	C₂⁴	1	128	yes	—
977	#449	C₂⁴	1	64	yes	—
978	#449	C₂⁴	1	64	yes	—
979	#449	C₂⁴	1	64	yes	—
980	#449	C₂⁴	1	64	yes	—
981	#448	C₂⁴	1	128	yes	—
982	#448	C₂⁴	1	64	yes	—
983	#448	C₂⁴	1	64	yes	—
984	#447	C₂⁴	1	128	yes	—
985	#447	C₂⁴	1	64	yes	—
986	#447	C₂⁴	1	64	yes	—
987	#442	C₂⁴	1	64	yes	—
988	#441	C₂⁴	1	64	yes	—
989	#440	C₂⁴	1	64	yes	—
990	#440	C₂⁴	1	64	yes	—
991	C₄×Q₁₆	C₂⁴	1	64	yes	—
992	C₄×SD₁₆	C₂⁴	1	64	yes	—
993	C₄×SD₁₆	C₂⁴	1	64	yes	—
994	C₄×D₈	C₂⁴	1	64	yes	—
995	#436	C₂⁴	1	64	yes	—
996	#436	C₂⁴	1	64	yes	—
997	#435	C₂⁴	1	128	yes	—
998	#435	C₂⁴	1	128	yes	—
999	C₈×D₄	C₂⁴	1	64	yes	—
1000	C₈×D₄	C₂⁴	1	64	yes	—
1001	#428	C₂⁴	1	16	yes	—
1002	#428	C₂⁴	1	16	yes	—
1003	#428	C₂⁴	1	32	yes	—
1004	C₂×#107	C₂⁴	1	8	yes	—
1005	C₂×#107	C₂⁴	1	16	yes	—
1006	C₂×#106	C₂⁴	1	8	yes	—
1007	C₂×#106	C₂⁴	1	16	yes	—
1008	#424	C₂⁴	1	32	yes	—
1009	#424	C₂⁴	1	32	yes	—
1010	#423	C₂⁴	1	16	yes	—
1011	#423	C₂⁴	1	16	yes	—
1012	C₂×C₄⋊C₈	C₂⁴	1	8	yes	—
1013	C₂×C₄⋊C₈	C₂⁴	1	8	yes	—
1014	#419	C₂⁴	1	8	yes	—
1015	#419	C₂⁴	1	8	yes	—
1016	#419	C₂⁴	1	16	yes	—
1017	#419	C₂⁴	1	16	yes	—
1018	#418	C₂⁴	1	8	yes	—
1019	#418	C₂⁴	1	8	yes	—
1020	#418	C₂⁴	1	16	yes	—
1021	#418	C₂⁴	1	16	yes	—
1022	#417	C₂⁴	1	16	yes	—
1023	#417	C₂⁴	1	16	yes	—
1024	#417	C₂⁴	1	32	yes	—
1025	#417	C₂⁴	1	32	yes	—
1026	#417	C₂⁴	1	32	yes	—
1027	#417	C₂⁴	1	32	yes	—
1028	#417	C₂⁴	1	32	yes	—
1029	#417	C₂⁴	1	16	yes	—
1030	#417	C₂⁴	1	16	yes	—
1031	#417	C₂⁴	1	16	yes	—
1032	#417	C₂⁴	1	16	yes	—
1033	#417	C₂⁴	1	16	yes	—
1034	#417	C₂⁴	1	16	yes	—
1035	#416	C₂⁴	1	32	yes	—
1036	#416	C₂⁴	1	32	yes	—
1037	#416	C₂⁴	1	32	yes	—
1038	C₂×#103	C₂⁴	1	8	yes	—
1039	C₂×#103	C₂⁴	1	16	yes	—
1040	C₂×#103	C₂⁴	1	16	yes	—
1041	C₂×#103	C₂⁴	1	16	yes	—
1042	C₂×#103	C₂⁴	1	16	yes	—
1043	C₂×#103	C₂⁴	1	4	yes	—
1044	C₂×#103	C₂⁴	1	4	yes	—
1045	C₂×#103	C₂⁴	1	8	yes	—
1046	C₂×#103	C₂⁴	1	8	yes	—
1047	C₂×#102	C₂⁴	1	8	yes	—
1048	C₂×#102	C₂⁴	1	16	yes	—
1049	C₂×#102	C₂⁴	1	16	yes	—
1050	C₂×#102	C₂⁴	1	16	yes	—
1051	C₂×#102	C₂⁴	1	16	yes	—
1052	C₂×#102	C₂⁴	1	4	yes	—
1053	C₂×#102	C₂⁴	1	4	yes	—
1054	C₂×#102	C₂⁴	1	8	yes	—
1055	C₂×#102	C₂⁴	1	8	yes	—
1056	#408	C₂⁴	1	32	yes	—
1057	#408	C₂⁴	1	32	yes	—
1058	#408	C₂⁴	1	32	yes	—
1059	#408	C₂⁴	1	32	yes	—
1060	#407	C₂⁴	1	32	yes	—
1061	#407	C₂⁴	1	32	yes	—
1062	C₂×C₂²⋊C₈	C₂⁴	1	16	yes	—
1063	C₂×C₂²⋊C₈	C₂⁴	1	16	yes	—
1064	#405	C₂⁴	1	32	yes	—
1065	#405	C₂⁴	1	32	yes	—
1066	C₄×M₁₆	C₂⁴	1	16	yes	—
1067	C₄×M₁₆	C₂⁴	1	16	yes	—
1068	C₂×#97	C₂⁴	1	8	yes	—
1069	C₂×C₄×C₈	C₂⁴	1	8	yes	—
1070	C₂⁵	C₂²×D₄	1	1	yes	characteristic
1071	C₂⁵	C₂²×D₄	1	4	yes	—
1072	C₂×#41	C₂²×D₄	1	8	yes	—
1073	C₂×#41	C₂²×D₄	1	8	yes	—
1074	C₂×#41	C₂²×D₄	1	8	yes	—
1075	C₂×#41	C₂²×D₄	1	8	yes	—
1076	C₂×#41	C₂²×D₄	1	8	yes	—
1077	C₂×#41	C₂²×D₄	1	8	yes	—
1078	C₂×#41	C₂²×D₄	1	8	yes	—
1079	C₂×#41	C₂²×D₄	1	8	yes	—
1080	C₂×#41	C₂²×D₄	1	8	yes	—
1081	C₂×#41	C₂²×D₄	1	8	yes	—
1082	C₂×#41	C₂²×D₄	1	8	yes	—
1083	C₂×#41	C₂²×D₄	1	8	yes	—
1084	C₂×#41	C₂²×D₄	1	16	yes	—
1085	C₂×#41	C₂²×D₄	1	16	yes	—
1086	C₂×#41	C₂²×D₄	1	16	yes	—
1087	C₂×#41	C₂²×D₄	1	32	yes	—
1088	C₂×#41	C₂²×D₄	1	32	yes	—
1089	C₂×#41	C₂²×D₄	1	32	yes	—
1090	C₂×#41	C₂²×D₄	1	16	yes	complemented
1091	C₂×#41	C₂²×D₄	1	32	yes	complemented
1092	C₂×#41	C₂⁵	1	8	yes	—
1093	C₂×#41	C₂⁵	1	8	yes	—
1094	C₂×#41	C₂⁵	1	8	yes	—
1095	C₂×#41	C₂⁵	1	8	yes	—
1096	C₂×#41	C₂⁵	1	8	yes	—
1097	C₂×#41	C₂⁵	1	8	yes	—
1098	C₂×#41	C₂⁵	1	8	yes	—
1099	C₂×#41	C₂⁵	1	8	yes	—
1100	C₂×#41	C₂⁵	1	8	yes	—
1101	C₂×#41	C₂⁵	1	8	yes	—
1102	C₂×#41	C₂⁵	1	8	yes	—
1103	C₂×#41	C₂⁵	1	8	yes	—
1104	C₂×#41	C₂⁵	1	32	yes	—
1105	C₂×#41	C₂⁵	1	32	yes	—
1106	C₂×#41	C₂⁵	1	32	yes	—
1107	C₂×#41	C₂⁵	1	32	yes	—
1108	C₂×#41	C₂⁵	1	4	yes	—
1109	C₂×#41	C₂⁵	1	4	yes	—
1110	C₂×#41	C₂⁵	1	8	yes	—
1111	C₂×#41	C₂⁵	1	8	yes	—
1112	C₂×#41	C₂⁵	1	8	yes	—
1113	C₂²×Q₈	C₂²×D₄	1	4	yes	—
1114	C₂²×Q₈	C₂²×D₄	1	4	yes	—
1115	C₂²×Q₈	C₂²×D₄	1	4	yes	—
1116	C₂²×Q₈	C₂²×D₄	1	4	yes	—
1117	C₂²×Q₈	C₂²×D₄	1	4	yes	—
1118	C₂²×Q₈	C₂²×D₄	1	4	yes	—
1119	C₂²×Q₈	C₂²×D₄	1	8	yes	—
1120	C₂²×Q₈	C₂²×D₄	1	8	yes	complemented
1121	C₂²×Q₈	C₂⁵	1	2	yes	—
1122	C₂²×Q₈	C₂⁵	1	2	yes	—
1123	C₂²×Q₈	C₂⁵	1	2	yes	—
1124	C₂²×Q₈	C₂⁵	1	2	yes	—
1125	C₂²×Q₈	C₂⁵	1	4	yes	—
1126	C₂²×Q₈	C₂⁵	1	4	yes	—
1127	C₂²×Q₈	C₂⁵	1	4	yes	—
1128	C₂²×Q₈	C₂⁵	1	4	yes	—
1129	C₂²×Q₈	C₂⁵	1	4	yes	—
1130	C₂²×Q₈	C₂⁵	1	4	yes	—
1131	C₂²×Q₈	C₂⁵	1	4	yes	—
1132	C₂²×Q₈	C₂⁵	1	32	yes	—
1133	C₂²×Q₈	C₂⁵	1	32	yes	—
1134	C₂²×D₄	C₂²×D₄	1	8	yes	—
1135	C₂²×D₄	C₂²×D₄	1	8	yes	—
1136	C₂²×D₄	C₂²×D₄	1	8	yes	—
1137	C₂²×D₄	C₂²×D₄	1	8	yes	—
1138	C₂²×D₄	C₂²×D₄	1	4	yes	—
1139	C₂²×D₄	C₂²×D₄	1	8	yes	—
1140	C₂²×D₄	C₂²×D₄	1	4	yes	—
1141	C₂²×D₄	C₂²×D₄	1	8	yes	—
1142	C₂²×D₄	C₂²×D₄	1	8	yes	—
1143	C₂²×D₄	C₂²×D₄	1	8	yes	—
1144	C₂²×D₄	C₂²×D₄	1	8	yes	—
1145	C₂²×D₄	C₂²×D₄	1	4	yes	—
1146	C₂²×D₄	C₂²×D₄	1	4	yes	—
1147	C₂²×D₄	C₂²×D₄	1	4	yes	—
1148	C₂²×D₄	C₂²×D₄	1	4	yes	—
1149	C₂²×D₄	C₂²×D₄	1	8	yes	complemented
1150	C₂²×D₄	C₂⁵	1	2	yes	—
1151	C₂²×D₄	C₂⁵	1	2	yes	—
1152	C₂²×D₄	C₂⁵	1	2	yes	—
1153	C₂²×D₄	C₂⁵	1	2	yes	—
1154	C₂²×D₄	C₂⁵	1	4	yes	—
1155	C₂²×D₄	C₂⁵	1	4	yes	—
1156	C₂²×D₄	C₂⁵	1	4	yes	—
1157	C₂²×D₄	C₂⁵	1	4	yes	—
1158	C₂²×D₄	C₂⁵	1	4	yes	—
1159	C₂²×D₄	C₂⁵	1	4	yes	—
1160	C₂²×D₄	C₂⁵	1	4	yes	—
1161	C₂²×D₄	C₂⁵	1	32	yes	—
1162	C₂²×D₄	C₂⁵	1	32	yes	—
1163	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1164	C₂³×C₄	C₂²×D₄	1	2	yes	—
1165	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1166	C₂³×C₄	C₂²×D₄	1	2	yes	—
1167	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
1168	C₂³×C₄	C₂²×D₄	1	8	yes	—
1169	C₂³×C₄	C₂²×D₄	1	2	yes	—
1170	C₂³×C₄	C₂²×D₄	1	2	yes	—
1171	C₂³×C₄	C₂²×D₄	1	8	yes	—
1172	C₂³×C₄	C₂²×D₄	1	4	yes	—
1173	C₂³×C₄	C₂²×D₄	1	8	yes	—
1174	C₂³×C₄	C₂²×D₄	1	8	yes	—
1175	C₂³×C₄	H(5,𝔽₂)	1	8	yes	—
1176	C₂³×C₄	C₂⁵	1	1	yes	characteristic
1177	C₂³×C₄	C₂⁵	1	1	yes	characteristic
1178	C₂³×C₄	C₂⁵	1	2	yes	—
1179	C₂³×C₄	C₂⁵	1	2	yes	—
1180	C₂³×C₄	C₂⁵	1	1	yes	characteristic
1181	C₂³×C₄	C₂⁵	1	8	yes	—
1182	C₂³×C₄	C₂⁵	1	8	yes	—
1183	C₂³×C₄	C₂⁵	1	8	yes	—
1184	#137	C₂²×D₄	1	64	yes	—
1185	#137	C₂²×D₄	1	128	yes	complemented
1186	#137	C₂²×D₄	1	64	yes	complemented
1187	AGL(1,ℤ/8)	C₂²×D₄	1	64	yes	—
1188	AGL(1,ℤ/8)	C₂²×D₄	1	64	yes	complemented
1189	AGL(1,ℤ/8)	C₂²×D₄	1	128	yes	complemented
1190	#135	C₂²×D₄	1	256	yes	complemented
1191	C₂×Q₁₆	C₂²×D₄	1	32	yes	complemented
1192	C₂×Q₁₆	C₂⁵	1	16	yes	—
1193	C₂×Q₁₆	C₂⁵	1	32	yes	—
1194	C₂×Q₁₆	C₂⁵	1	32	yes	—
1195	C₂×Q₁₆	C₂⁵	1	32	yes	—
1196	C₂×Q₁₆	C₂⁵	1	32	yes	—
1197	C₂×SD₁₆	C₂²×D₄	1	32	yes	complemented
1198	C₂×SD₁₆	C₂²×D₄	1	32	yes	complemented
1199	C₂×SD₁₆	C₂⁵	1	16	yes	—
1200	C₂×SD₁₆	C₂⁵	1	16	yes	—
1201	C₂×SD₁₆	C₂⁵	1	32	yes	—
1202	C₂×SD₁₆	C₂⁵	1	32	yes	—
1203	C₂×SD₁₆	C₂⁵	1	32	yes	—
1204	C₂×SD₁₆	C₂⁵	1	32	yes	—
1205	C₂×SD₁₆	C₂⁵	1	32	yes	—
1206	C₂×SD₁₆	C₂⁵	1	32	yes	—
1207	C₂×SD₁₆	C₂⁵	1	32	yes	—
1208	C₂×SD₁₆	C₂⁵	1	32	yes	—
1209	C₂×D₈	C₂²×D₄	1	32	yes	complemented
1210	C₂×D₈	C₂⁵	1	16	yes	—
1211	C₂×D₈	C₂⁵	1	32	yes	—
1212	C₂×D₈	C₂⁵	1	32	yes	—
1213	C₂×D₈	C₂⁵	1	32	yes	—
1214	C₂×D₈	C₂⁵	1	32	yes	—
1215	C₂×M₁₆	C₂²×D₄	1	16	yes	—
1216	C₂×M₁₆	C₂²×D₄	1	32	yes	—
1217	C₂×M₁₆	C₂²×D₄	1	16	yes	complemented
1218	C₂×M₁₆	C₂²×D₄	1	32	yes	complemented
1219	C₂×M₁₆	C₂⁵	1	4	yes	—
1220	C₂×M₁₆	C₂⁵	1	8	yes	—
1221	C₂×M₁₆	C₂⁵	1	4	yes	—
1222	C₂×M₁₆	C₂⁵	1	8	yes	—
1223	C₂×M₁₆	C₂⁵	1	8	yes	—
1224	C₂×M₁₆	C₂⁵	1	8	yes	—
1225	C₂×M₁₆	C₂⁵	1	8	yes	—
1226	C₂×M₁₆	C₂⁵	1	64	yes	—
1227	C₂×M₁₆	C₂⁵	1	4	yes	—
1228	C₂×M₁₆	C₂⁵	1	4	yes	—
1229	C₂×M₁₆	C₂⁵	1	8	yes	—
1230	C₂²×C₈	C₂²×D₄	1	16	yes	complemented
1231	C₂²×C₈	C₂⁵	1	8	yes	—
1232	C₂²×C₈	C₂⁵	1	4	yes	—
1233	C₂²×C₈	C₂⁵	1	8	yes	—
1234	C₂²×C₈	C₂⁵	1	8	yes	—
1235	C₂²×C₈	C₂⁵	1	8	yes	—
1236	C₂²×C₈	C₂⁵	1	64	yes	—
1237	C₂²×C₈	C₂⁵	1	8	yes	—
1238	C₂²×C₈	C₂⁵	1	4	yes	—
1239	C₄⋊Q₈	C₂²×D₄	1	16	yes	—
1240	C₄⋊Q₈	C₂²×D₄	1	16	yes	—
1241	C₄⋊Q₈	C₂⁵	1	16	yes	—
1242	C₄⋊Q₈	C₂⁵	1	16	yes	—
1243	#127	C₂²×D₄	1	16	yes	—
1244	#127	C₂²×D₄	1	16	yes	—
1245	#127	C₂⁵	1	16	yes	—
1246	#127	C₂⁵	1	16	yes	—
1247	#124	C₂²×D₄	1	32	yes	—
1248	#124	C₂²×D₄	1	32	yes	—
1249	#124	C₂⁵	1	32	yes	—
1250	#124	C₂⁵	1	32	yes	—
1251	#123	C₂²×D₄	1	64	yes	—
1252	#123	C₂²×D₄	1	64	yes	—
1253	C₂²⋊Q₈	C₂²×D₄	1	32	yes	—
1254	C₂²⋊Q₈	C₂²×D₄	1	32	yes	—
1255	C₂²⋊Q₈	C₂²×D₄	1	32	yes	—
1256	C₂²⋊Q₈	C₂²×D₄	1	32	yes	—
1257	C₂²⋊Q₈	C₂⁵	1	64	yes	—
1258	C₂²⋊Q₈	C₂⁵	1	32	yes	—
1259	C₂²⋊Q₈	C₂⁵	1	32	yes	—
1260	#121	C₂²×D₄	1	32	yes	—
1261	#121	C₂²×D₄	1	32	yes	—
1262	#121	C₂²×D₄	1	32	yes	—
1263	#121	C₂²×D₄	1	32	yes	—
1264	#121	C₂²×D₄	1	32	yes	—
1265	#121	C₂²×D₄	1	32	yes	—
1266	#121	C₂²×D₄	1	32	yes	—
1267	#121	C₂²×D₄	1	32	yes	—
1268	#121	C₂⁵	1	64	yes	—
1269	#121	C₂⁵	1	32	yes	—
1270	#121	C₂⁵	1	32	yes	—
1271	#120	C₂²×D₄	1	64	yes	—
1272	#120	C₂²×D₄	1	64	yes	—
1273	C₄×Q₈	C₂⁵	1	32	yes	—
1274	C₄×Q₈	C₂⁵	1	16	yes	—
1275	C₄×Q₈	C₂⁵	1	16	yes	—
1276	C₄×D₄	C₂²×D₄	1	32	yes	—
1277	C₄×D₄	C₂²×D₄	1	32	yes	—
1278	C₄×D₄	C₂⁵	1	32	yes	—
1279	C₄×D₄	C₂⁵	1	32	yes	—
1280	C₄×D₄	C₂⁵	1	32	yes	—
1281	C₄×D₄	C₂⁵	1	16	yes	—
1282	C₄×D₄	C₂⁵	1	16	yes	—
1283	#117	C₂²×D₄	1	8	yes	—
1284	#117	C₂²×D₄	1	8	yes	—
1285	#117	C₂²×D₄	1	8	yes	—
1286	#117	C₂²×D₄	1	8	yes	—
1287	#117	C₂²×D₄	1	8	yes	—
1288	#117	C₂²×D₄	1	8	yes	—
1289	#117	C₂⁵	1	8	yes	—
1290	#117	C₂⁵	1	8	yes	—
1291	#117	C₂⁵	1	4	yes	—
1292	#117	C₂⁵	1	4	yes	—
1293	#117	C₂⁵	1	8	yes	—
1294	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1295	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1296	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1297	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1298	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1299	C₂×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1300	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1301	C₂×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1302	C₂×C₄⋊C₄	C₂²×D₄	1	8	yes	—
1303	C₂×C₄⋊C₄	C₂²×D₄	1	8	yes	—
1304	C₂×C₄⋊C₄	C₂⁵	1	4	yes	—
1305	C₂×C₄⋊C₄	C₂⁵	1	4	yes	—
1306	C₂×C₄⋊C₄	C₂⁵	1	4	yes	—
1307	C₂×C₄⋊C₄	C₂⁵	1	8	yes	—
1308	C₂×C₄⋊C₄	C₂⁵	1	8	yes	—
1309	C₂×C₄⋊C₄	C₂⁵	1	2	yes	—
1310	C₂×C₄⋊C₄	C₂⁵	1	2	yes	—
1311	C₂×C₄⋊C₄	C₂⁵	1	4	yes	—
1312	C₂×C₄⋊C₄	C₂⁵	1	4	yes	—
1313	C₂×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1314	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1315	C₂×C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1316	C₂×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1317	C₂×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
1318	C₂×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
1319	C₂×C₄²	C₂²×D₄	1	4	yes	—
1320	C₂×C₄²	C₂²×D₄	1	4	yes	—
1321	C₂×C₄²	C₂²×D₄	1	4	yes	—
1322	C₂×C₄²	C₂⁵	1	4	yes	—
1323	C₂×C₄²	C₂⁵	1	4	yes	—
1324	C₂×C₄²	C₂⁵	1	4	yes	—
1325	#107	C₂⁵	1	32	yes	—
1326	#106	C₂⁵	1	32	yes	—
1327	C₄⋊C₈	C₂⁵	1	32	yes	—
1328	C₄⋊C₈	C₂⁵	1	32	yes	—
1329	#103	C₂⁵	1	32	yes	—
1330	#103	C₂⁵	1	64	yes	—
1331	#103	C₂⁵	1	16	yes	—
1332	#103	C₂⁵	1	16	yes	—
1333	#103	C₂⁵	1	32	yes	—
1334	#103	C₂⁵	1	32	yes	—
1335	#102	C₂⁵	1	32	yes	—
1336	#102	C₂⁵	1	64	yes	—
1337	#102	C₂⁵	1	16	yes	—
1338	#102	C₂⁵	1	16	yes	—
1339	#102	C₂⁵	1	32	yes	—
1340	#102	C₂⁵	1	32	yes	—
1341	C₂²⋊C₈	C₂⁵	1	64	yes	—
1342	C₂²⋊C₈	C₂⁵	1	64	yes	—
1343	#97	C₂⁵	1	32	yes	—
1344	C₄×C₈	C₂⁵	1	32	yes	—
1345	C₂⁴	D₄²	1	8	yes	—
1346	C₂⁴	C₂³×D₄	1	8	yes	—
1347	C₂⁴	C₂³×D₄	1	8	yes	—
1348	C₂⁴	C₂³×D₄	1	8	yes	—
1349	C₂⁴	C₂³×D₄	1	2	yes	—
1350	C₂⁴	C₂³×D₄	1	1	yes	characteristic
1351	C₂⁴	C₂³×D₄	1	2	yes	—
1352	C₂⁴	C₂³×D₄	1	1	yes	characteristic
1353	C₂⁴	C₂³×D₄	1	1	yes	characteristic
1354	#41	C₂³×D₄	1	32	yes	—
1355	#41	C₂³×D₄	1	32	yes	—
1356	#41	C₂³×D₄	1	16	yes	—
1357	#41	C₂³×D₄	1	32	yes	—
1358	#41	C₂³×D₄	1	16	yes	—
1359	C₂×Q₈	C₂³×D₄	1	8	yes	—
1360	C₂×Q₈	C₂³×D₄	1	8	yes	—
1361	C₂×Q₈	C₂³×D₄	1	8	yes	—
1362	C₂×Q₈	C₂³×D₄	1	8	yes	—
1363	C₂×Q₈	C₂³×D₄	1	8	yes	—
1364	C₂×Q₈	C₂³×D₄	1	8	yes	—
1365	C₂×Q₈	C₂³×D₄	1	8	yes	—
1366	C₂×Q₈	C₂³×D₄	1	8	yes	—
1367	C₂×Q₈	C₂³×D₄	1	16	yes	—
1368	C₂×Q₈	C₂⁶	1	8	yes	—
1369	C₂×Q₈	C₂⁶	1	8	yes	—
1370	C₂×Q₈	C₂⁶	1	4	yes	—
1371	C₂×Q₈	C₂⁶	1	4	yes	—
1372	C₂×D₄	C₂³×D₄	1	8	yes	—
1373	C₂×D₄	C₂³×D₄	1	8	yes	—
1374	C₂×D₄	C₂³×D₄	1	8	yes	—
1375	C₂×D₄	C₂³×D₄	1	8	yes	—
1376	C₂×D₄	C₂³×D₄	1	16	yes	—
1377	C₂×D₄	C₂³×D₄	1	32	yes	—
1378	C₂×D₄	C₂³×D₄	1	32	yes	—
1379	C₂×D₄	C₂³×D₄	1	16	yes	—
1380	C₂×D₄	C₂³×D₄	1	16	yes	—
1381	C₂×D₄	C₂³×D₄	1	8	yes	—
1382	C₂×D₄	C₂³×D₄	1	8	yes	—
1383	C₂×D₄	C₂³×D₄	1	16	yes	—
1384	C₂×D₄	C₂³×D₄	1	16	yes	—
1385	C₂×D₄	C₂³×D₄	1	8	yes	—
1386	C₂×D₄	C₂³×D₄	1	8	yes	—
1387	C₂×D₄	C₂⁶	1	8	yes	—
1388	C₂×D₄	C₂⁶	1	8	yes	—
1389	C₂×D₄	C₂⁶	1	4	yes	—
1390	C₂×D₄	C₂⁶	1	4	yes	—
1391	C₂²×C₄	D₄²	1	8	yes	—
1392	C₂²×C₄	D₄²	1	16	yes	—
1393	C₂²×C₄	D₄²	1	8	yes	—
1394	C₂²×C₄	D₄²	1	16	yes	—
1395	C₂²×C₄	D₄²	1	8	yes	—
1396	C₂²×C₄	C₂³×D₄	1	4	yes	—
1397	C₂²×C₄	C₂³×D₄	1	4	yes	—
1398	C₂²×C₄	C₂³×D₄	1	8	yes	—
1399	C₂²×C₄	C₂³×D₄	1	4	yes	—
1400	C₂²×C₄	C₂³×D₄	1	8	yes	—
1401	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1402	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1403	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1404	C₂²×C₄	C₂³×D₄	1	2	yes	—
1405	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1406	C₂²×C₄	C₂³×D₄	1	2	yes	—
1407	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
1408	C₂²×C₄	C₂³×D₄	1	2	yes	—
1409	C₂²×C₄	C₂³×D₄	1	2	yes	—
1410	C₂²×C₄	C₂³×D₄	1	2	yes	—
1411	C₂²×C₄	C₂³×D₄	1	2	yes	—
1412	C₂²×C₄	C₂³×D₄	1	2	yes	—
1413	C₂²×C₄	C₂³×D₄	1	2	yes	—
1414	C₂²×C₄	C₂³×D₄	1	4	yes	—
1415	C₂²×C₄	C₂³×D₄	1	4	yes	—
1416	C₂²×C₄	C₂³×D₄	1	4	yes	—
1417	C₂²×C₄	C₂³×D₄	1	4	yes	—
1418	C₂²×C₄	C₂³×D₄	1	4	yes	—
1419	C₂²×C₄	C₂³×D₄	1	4	yes	—
1420	C₂²×C₄	C₂³×D₄	1	8	yes	—
1421	C₂²×C₄	C₂³×D₄	1	16	yes	—
1422	C₂²×C₄	C₂³×D₄	1	16	yes	—
1423	C₂²×C₄	C₂³×D₄	1	16	yes	—
1424	C₂²×C₄	C₂³×D₄	1	8	yes	—
1425	C₂²×C₄	C₂³×D₄	1	8	yes	—
1426	C₂²×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1427	C₂²×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1428	C₂²×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
1429	C₂²×C₄	C₂×H(5,𝔽₂)	1	8	yes	—
1430	C₂²×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1431	C₂²×C₄	C₂⁶	1	1	yes	characteristic
1432	C₂²×C₄	C₂⁶	1	1	yes	characteristic
1433	C₂²×C₄	C₂⁶	1	1	yes	characteristic
1434	C₂²×C₄	C₂⁶	1	2	yes	—
1435	C₂²×C₄	C₂⁶	1	2	yes	—
1436	C₂²×C₄	C₂⁶	1	16	yes	—
1437	Q₁₆	C₂³×D₄	1	64	yes	—
1438	SD₁₆	C₂³×D₄	1	64	yes	—
1439	SD₁₆	C₂³×D₄	1	64	yes	—
1440	D₈	C₂³×D₄	1	64	yes	—
1441	M₁₆	C₂³×D₄	1	16	yes	—
1442	M₁₆	C₂³×D₄	1	16	yes	—
1443	M₁₆	C₂³×D₄	1	32	yes	—
1444	C₂×C₈	C₂³×D₄	1	16	yes	—
1445	C₂×C₈	C₂³×D₄	1	32	yes	—
1446	C₂×C₈	C₂⁶	1	8	yes	—
1447	C₂×C₈	C₂⁶	1	8	yes	—
1448	C₂×C₈	C₂⁶	1	16	yes	—
1449	C₄⋊C₄	C₂³×D₄	1	8	yes	—
1450	C₄⋊C₄	C₂³×D₄	1	8	yes	—
1451	C₄⋊C₄	C₂³×D₄	1	8	yes	—
1452	C₄⋊C₄	C₂³×D₄	1	8	yes	—
1453	C₄⋊C₄	C₂³×D₄	1	32	yes	—
1454	C₄⋊C₄	C₂³×D₄	1	32	yes	—
1455	C₄⋊C₄	C₂⁶	1	4	yes	—
1456	C₄⋊C₄	C₂⁶	1	8	yes	—
1457	C₄⋊C₄	C₂⁶	1	4	yes	—
1458	C₂²⋊C₄	C₂³×D₄	1	16	yes	—
1459	C₂²⋊C₄	C₂³×D₄	1	16	yes	—
1460	C₂²⋊C₄	C₂³×D₄	1	64	yes	—
1461	C₂²⋊C₄	C₂³×D₄	1	64	yes	—
1462	C₄²	C₂³×D₄	1	8	yes	—
1463	C₄²	C₂³×D₄	1	8	yes	—
1464	C₄²	C₂³×D₄	1	8	yes	—
1465	C₄²	C₂⁶	1	8	yes	—
1466	C₂³	C₂×D₄²	1	4	yes	—
1467	C₂³	C₂×D₄²	1	4	yes	—
1468	C₂³	C₂×D₄²	1	8	yes	—
1469	C₂³	C₂×D₄²	1	4	yes	—
1470	C₂³	C₂×D₄²	1	8	yes	—
1471	C₂³	C₂⁴×D₄	1	16	yes	—
1472	C₂³	C₂⁴×D₄	1	2	yes	—
1473	C₂³	C₂⁴×D₄	1	2	yes	—
1474	C₂³	C₂⁴×D₄	1	1	yes	characteristic
1475	C₂³	C₂⁴×D₄	1	1	yes	characteristic
1476	C₂³	C₂⁴×D₄	1	1	yes	characteristic
1477	Q₈	C₂⁴×D₄	1	8	yes	—
1478	Q₈	C₂⁴×D₄	1	8	yes	—
1479	D₄	C₂⁴×D₄	1	8	yes	—
1480	D₄	C₂⁴×D₄	1	8	yes	—
1481	C₂×C₄	C₂×D₄²	1	4	yes	—
1482	C₂×C₄	C₂×D₄²	1	8	yes	—
1483	C₂×C₄	C₂×D₄²	1	4	yes	—
1484	C₂×C₄	C₂×D₄²	1	4	yes	—
1485	C₂×C₄	C₂×D₄²	1	4	yes	—
1486	C₂×C₄	C₂×D₄²	1	8	yes	—
1487	C₂×C₄	C₂×D₄²	1	8	yes	—
1488	C₂×C₄	C₂×D₄²	1	8	yes	—
1489	C₂×C₄	C₂×D₄²	1	4	yes	—
1490	C₂×C₄	C₂×D₄²	1	8	yes	—
1491	C₂×C₄	C₂×D₄²	1	8	yes	—
1492	C₂×C₄	C₂×D₄²	1	8	yes	—
1493	C₂×C₄	C₂×D₄²	1	8	yes	—
1494	C₂×C₄	C₂⁴×D₄	1	2	yes	—
1495	C₂×C₄	C₂⁴×D₄	1	4	yes	—
1496	C₂×C₄	C₂⁴×D₄	1	2	yes	—
1497	C₂×C₄	C₂⁴×D₄	1	2	yes	—
1498	C₂×C₄	C₂⁴×D₄	1	4	yes	—
1499	C₂×C₄	C₂⁴×D₄	1	1	yes	characteristic
1500	C₂×C₄	C₂⁴×D₄	1	1	yes	characteristic
1501	C₂×C₄	C₂⁴×D₄	1	1	yes	characteristic
1502	C₂×C₄	C₂⁴×D₄	1	2	yes	—
1503	C₂×C₄	C₂⁴×D₄	1	2	yes	—
1504	C₂×C₄	C₂⁴×D₄	1	8	yes	—
1505	C₂×C₄	C₂⁴×D₄	1	8	yes	—
1506	C₂×C₄	C₂⁴×D₄	1	16	yes	—
1507	C₂×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
1508	C₂×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
1509	C₂×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
1510	C₂×C₄	C₂²×H(5,𝔽₂)	1	4	yes	—
1511	C₂×C₄	C₂²×H(5,𝔽₂)	1	4	yes	—
1512	C₂×C₄	C₂⁷	1	1	yes	characteristic
1513	C₈	C₂⁴×D₄	1	16	yes	—
1514	C₂²	C₂²×D₄²	1	2	yes	—
1515	C₂²	C₂²×D₄²	1	4	yes	—
1516	C₂²	C₂²×D₄²	1	4	yes	—
1517	C₂²	C₂²×D₄²	1	2	yes	—
1518	C₂²	C₂²×D₄²	1	2	yes	—
1519	C₂²	C₂⁵×D₄	1	1	yes	characteristic
1520	C₄	C₂²×D₄²	1	2	yes	—
1521	C₄	C₂²×D₄²	1	4	yes	—
1522	C₄	C₂²×D₄²	1	2	yes	—
1523	C₄	C₂²×D₄²	1	2	yes	—
1524	C₄	C₂²×D₄²	1	4	yes	—
1525	C₄	C₂⁵×D₄	1	1	yes	characteristic
1526	C₄	C₂³×H(5,𝔽₂)	1	1	yes	characteristic
1527	C₂	C₂³×D₄²	1	1	yes	characteristic
1528	C₂	#10586999	1	1	yes	characteristic
1529	C₂	#10587000	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂⁵×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁷
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂×#3449 ◁ G
LECS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#63090	C₂	semidirect
2. #10586020	C₂	semidirect
3. C₂×#62853	C₂	semidirect
4. #10576134	C₂	semidirect
5. #10576133	C₂	semidirect
6. #10576132	C₂	semidirect
7. #10576131	C₂	semidirect
8. #10576124	C₂	semidirect
9. #10576123	C₂	semidirect
10. #10576115	C₂	semidirect
11. #10576114	C₂	semidirect
12. #10576113	C₂	semidirect
13. #10576112	C₂	semidirect
14. #10575251	C₂	semidirect
15. #10574956	C₂	semidirect
16. C₂×#60425	C₂	semidirect
17. C₂×#60456	C₂	semidirect
18. #10574839	C₂	semidirect
19. C₂×#60371	C₂	semidirect
20. #10574202	C₂	semidirect
21. C₂×#60170	C₂	semidirect
22. C₂²×#585	C₂²	semidirect
23. C₂²×#585	C₂²	semidirect
24. C₂×#3586	C₂²	semidirect
25. C₂×#3586	C₂²	semidirect
26. C₂×#3586	C₂²	semidirect
27. C₂×#3586	C₂²	semidirect
28. C₂×#3585	C₂²	semidirect
29. C₂×#3585	C₂²	semidirect
30. C₂×#3585	C₂²	semidirect
31. C₂×#3585	C₂²	semidirect
32. C₂×#3584	C₂²	semidirect
33. C₂×#3584	C₂²	semidirect
35. C₂²×#575	C₂²	semidirect
36. C₂²×#575	C₂²	semidirect
37. C₂²×#575	C₂²	semidirect
38. C₂²×#575	C₂²	semidirect
39. C₂²×#575	C₂²	semidirect
40. C₂²×#568	C₂²	semidirect
41. #62859	C₂²	semidirect
42. #62853	C₂²	semidirect
43. #62853	C₂²	semidirect
44. #62853	C₂²	semidirect
45. #62853	C₂²	semidirect
46. #62853	C₂²	semidirect
47. #62852	C₂²	semidirect
48. #62848	C₂²	semidirect
49. #62842	C₂²	semidirect
50. #62812	C₂²	semidirect
51. #62811	C₂²	semidirect
52. C₂×#3489	C₂²	semidirect
53. C₂×#3488	C₂²	semidirect
54. C₂×#3497	C₂²	semidirect
55. C₂×#3496	C₂²	semidirect
57. C₂×#3449	C₂²	semidirect
58. C₂×#3449	C₂²	semidirect
59. C₂×#3449	C₂²	semidirect
60. C₂²×#537	C₂²	semidirect
61. C₂×#3428	C₂²	semidirect
62. C₂²×#520	C₂²	semidirect
63. #61097	C₂²	semidirect
64. #61096	C₂²	semidirect
65. #61095	C₂²	semidirect
66. #61094	C₂²	semidirect
67. #61093	C₂²	semidirect
68. #61092	C₂²	semidirect
69. #61086	C₂²	semidirect
70. #61085	C₂²	semidirect
71. #61085	C₂²	semidirect
72. #61084	C₂²	semidirect
73. #61081	C₂²	semidirect
74. #61080	C₂²	semidirect
75. #61080	C₂²	semidirect
76. #61079	C₂²	semidirect
77. #61078	C₂²	semidirect
78. #61077	C₂²	semidirect
79. #61076	C₂²	semidirect
80. #61075	C₂²	semidirect
81. #61074	C₂²	semidirect
82. #61073	C₂²	semidirect
83. #61072	C₂²	semidirect
84. #61071	C₂²	semidirect
85. #61070	C₂²	semidirect
86. D₄×#137	C₂²	semidirect
87. #61068	C₂²	semidirect
88. #61067	C₂²	semidirect
89. #61066	C₂²	semidirect
90. D₄×AGL(1,ℤ/8)	C₂²	semidirect
91. #61064	C₂²	semidirect
92. #61063	C₂²	semidirect
93. #61062	C₂²	semidirect
94. #61062	C₂²	semidirect
95. #61057	C₂²	semidirect
96. #61056	C₂²	semidirect
97. #61055	C₂²	semidirect
98. #61055	C₂²	semidirect
99. #60645	C₂²	semidirect
100. #60645	C₂²	semidirect
101. #60644	C₂²	semidirect
102. #60644	C₂²	semidirect
103. #60643	C₂²	semidirect
104. #60643	C₂²	semidirect
105. #60639	C₂²	semidirect
106. #60456	C₂²	semidirect
107. #60456	C₂²	semidirect
108. #60456	C₂²	semidirect
109. #60456	C₂²	semidirect
110. C₂×#3063	C₂²	semidirect
111. C₂×#3062	C₂²	semidirect
112. C₂×#3061	C₂²	semidirect
113. C₂×#3060	C₂²	semidirect
114. C₂×#3056	C₂²	semidirect
115. C₂×#3055	C₂²	semidirect
116. #60427	C₂²	semidirect
117. #60426	C₂²	semidirect
118. #60425	C₂²	semidirect
119. #60425	C₂²	semidirect
120. #60425	C₂²	semidirect
121. #60425	C₂²	semidirect
122. #60425	C₂²	semidirect
123. #60424	C₂²	semidirect
124. #60423	C₂²	semidirect
125. #60422	C₂²	semidirect
126. C₂×#3046	C₂²	semidirect
127. C₂×#3045	C₂²	semidirect
128. #60415	C₂²	semidirect
129. C₂×#3037	C₂²	semidirect
130. C₂×#3036	C₂²	semidirect
131. #60371	C₂²	semidirect
132. #60371	C₂²	semidirect
133. #60371	C₂²	semidirect
134. #60371	C₂²	semidirect
135. #60371	C₂²	semidirect
136. #60371	C₂²	semidirect
137. #60370	C₂²	semidirect
138. #60369	C₂²	semidirect
139. #60368	C₂²	semidirect
140. #60368	C₂²	semidirect
141. #60367	C₂²	semidirect
142. #60367	C₂²	semidirect
143. #60366	C₂²	semidirect
144. #60366	C₂²	semidirect
145. C₂×#3013	C₂²	semidirect
146. C₂×#3013	C₂²	semidirect
147. C₂×#3012	C₂²	semidirect
148. C₂×#3012	C₂²	semidirect
149. #60359	C₂²	semidirect
150. C₂×#3007	C₂²	semidirect
151. C₂×#3006	C₂²	semidirect
152. #60170	C₂²	semidirect
153. #60170	C₂²	semidirect
154. C₂×#2952	C₂²	semidirect
155. C₂×#2951	C₂²	semidirect
156. C₂×#2947	C₂²	semidirect
157. C₂×#2946	C₂²	semidirect
158. C₂×C₄×#137	C₂²	semidirect
159. C₂×C₄×AGL(1,ℤ/8)	C₂²	semidirect
160. #60144	C₂²	semidirect
161. #60143	C₂²	semidirect
162. #60142	C₂²	semidirect
163. #60141	C₂²	semidirect
164. #60140	C₂²	semidirect
165. C₂²×#428	C₂²	semidirect
166. C₂×#2905	C₂²	semidirect
167. C₂×#2896	C₂²	semidirect
168. C₂×#2896	C₂²	semidirect
169. C₂²×#417	C₂²	semidirect
170. C₂²×#417	C₂²	semidirect
171. C₂×#2879	C₂²	semidirect
172. C₂×#2873	C₂²	semidirect
177. C₂×#585	C₂³	semidirect
178. C₂×#585	C₂³	semidirect
179. C₂×#585	C₂³	semidirect
180. C₂×#585	C₂³	semidirect
182. C₂²×2₋¹⁺⁴	C₂³	semidirect
183. C₂²×2₋¹⁺⁴	C₂³	semidirect
184. C₂²×2₋¹⁺⁴	C₂³	semidirect
186. C₂²×H(5,𝔽₂)	C₂³	semidirect
187. C₂²×H(5,𝔽₂)	C₂³	semidirect
188. C₂²×H(5,𝔽₂)	C₂³	semidirect
195. C₂³×#41	C₂³	semidirect
196. C₂×#578	C₂³	semidirect
197. C₂×#578	C₂³	semidirect
198. C₂×#578	C₂³	semidirect
199. C₂×#578	C₂³	semidirect
200. C₂×#577	C₂³	semidirect
201. C₂×#577	C₂³	semidirect
202. C₂×#577	C₂³	semidirect
203. C₂×#577	C₂³	semidirect
204. C₂×#577	C₂³	semidirect
205. C₂×#577	C₂³	semidirect
206. C₂×#577	C₂³	semidirect
207. C₂×#577	C₂³	semidirect
208. C₂×#576	C₂³	semidirect
209. C₂×#576	C₂³	semidirect
210. C₂×#576	C₂³	semidirect
211. C₂×#576	C₂³	semidirect
212. C₂×#575	D₄	semidirect
220. C₂×#575	C₂³	semidirect
221. C₂×#575	C₂³	semidirect
222. C₂×#575	C₂³	semidirect
223. C₂×#575	C₂³	semidirect
224. C₂×#575	C₂³	semidirect
225. C₂×#575	C₂³	semidirect
226. C₂×#575	C₂³	semidirect
227. C₂×#575	C₂³	semidirect
228. C₂×#575	C₂³	semidirect
229. C₂×#575	C₂³	semidirect
230. C₂×#575	C₂³	semidirect
231. C₂×#575	C₂³	semidirect
232. C₂×#575	C₂³	semidirect
233. C₂×#575	C₂³	semidirect
234. C₂×#575	C₂³	semidirect
235. C₂×#575	C₂³	semidirect
240. C₂²×#137	C₂³	semidirect
241. C₂²×#137	C₂³	semidirect
242. C₂²×#137	C₂³	semidirect
243. C₂²×#137	C₂³	semidirect
244. C₂²×#137	C₂³	semidirect
245. C₂²×#137	C₂³	semidirect
246. C₂²×#137	C₂³	semidirect
247. C₂²×#137	C₂³	semidirect
252. C₂²×AGL(1,ℤ/8)	C₂³	semidirect
253. C₂²×AGL(1,ℤ/8)	C₂³	semidirect
254. C₂²×AGL(1,ℤ/8)	C₂³	semidirect
255. C₂²×AGL(1,ℤ/8)	C₂³	semidirect
256. C₂²×AGL(1,ℤ/8)	C₂³	semidirect
257. C₂²×AGL(1,ℤ/8)	C₂³	semidirect
258. C₂²×AGL(1,ℤ/8)	C₂³	semidirect
259. C₂²×AGL(1,ℤ/8)	C₂³	semidirect
262. C₂²×#135	C₂³	semidirect
263. C₂²×#135	C₂³	semidirect
264. C₂²×#135	C₂³	semidirect
265. C₂²×#135	C₂³	semidirect
267. C₂×#568	C₂³	semidirect
268. C₂×#568	C₂³	semidirect
269. C₂×#568	C₂³	semidirect
270. C₂²×#131	C₂³	semidirect
271. C₂²×#131	C₂³	semidirect
275. C₂³×M₁₆	C₂³	semidirect
276. #3500	C₂³	semidirect
277. #3499	C₂³	semidirect
278. #3498	C₂³	semidirect
279. #3497	C₂³	semidirect
280. #3497	C₂³	semidirect
281. #3497	C₂³	semidirect
282. #3497	C₂³	semidirect
283. #3496	C₂³	semidirect
284. #3496	C₂³	semidirect
285. #3496	C₂³	semidirect
286. #3496	C₂³	semidirect
287. #3489	C₂³	semidirect
288. #3489	C₂³	semidirect
289. #3489	C₂³	semidirect
290. #3489	C₂³	semidirect
291. #3488	C₂³	semidirect
292. #3488	C₂³	semidirect
293. #3488	C₂³	semidirect
294. #3488	C₂³	semidirect
295. #3487	C₂³	semidirect
296. #3486	C₂³	semidirect
297. #3485	C₂³	semidirect
298. #3484	C₂³	semidirect
301. C₂×#550	C₂³	semidirect
302. C₂×D₄×Q₈	C₂³	semidirect
303. C₂×#548	C₂³	semidirect
304. C₂×#547	C₂³	semidirect
305. C₂×#546	C₂³	semidirect
306. C₂×D₄²	C₂³	semidirect
317. #3449	C₂³	semidirect
318. #3449	C₂³	semidirect
319. #3449	C₂³	semidirect
320. #3449	C₂³	semidirect
321. #3449	C₂³	semidirect
322. #3449	C₂³	semidirect
328. C₂×#537	C₂³	semidirect
329. C₂×#537	C₂³	semidirect
330. C₂×#537	C₂³	semidirect
331. C₂×#537	C₂³	semidirect
332. C₂×#537	C₂³	semidirect
334. C₂×#536	C₂³	semidirect
335. C₂×#536	C₂³	semidirect
336. C₂×#536	C₂³	semidirect
338. C₂×#535	C₂³	semidirect
339. C₂×#535	C₂³	semidirect
340. C₂×#535	C₂³	semidirect
344. C₂×#532	C₂³	semidirect
347. C₂²×C₂²⋊Q₈	C₂³	semidirect
348. C₂²×#121	C₂³	semidirect
350. #3428	C₂³	semidirect
352. C₂×#520	C₂³	semidirect
353. C₂×#520	C₂³	semidirect
354. C₂×#520	C₂³	semidirect
355. C₂×#520	C₂³	semidirect
356. C₂×#520	C₂³	semidirect
357. C₂×#519	C₂³	semidirect
358. C₂×#518	C₂³	semidirect
360. C₂²×C₄×Q₈	C₂³	semidirect
361. C₂²×C₄×D₄	C₂³	semidirect
365. #3287	C₂³	semidirect
366. D₄×Q₁₆	C₂³	semidirect
367. #3285	C₂³	semidirect
368. #3284	C₂³	semidirect
369. #3284	C₂³	semidirect
370. #3283	C₂³	semidirect
371. #3282	C₂³	semidirect
372. #3282	C₂³	semidirect
373. D₄×SD₁₆	C₂³	semidirect
374. D₄×SD₁₆	C₂³	semidirect
375. #3280	C₂³	semidirect
376. D₄×D₈	C₂³	semidirect
377. #3278	C₂³	semidirect
378. #3278	C₂³	semidirect
379. #3277	C₂³	semidirect
380. #3276	C₂³	semidirect
381. #3276	C₂³	semidirect
382. #3275	C₂³	semidirect
383. #3275	C₂³	semidirect
384. #3274	C₂³	semidirect
385. #3274	C₂³	semidirect
386. #3273	C₂³	semidirect
387. #3272	C₂³	semidirect
388. #3272	C₂³	semidirect
389. #3271	C₂³	semidirect
390. #3271	C₂³	semidirect
391. #3270	C₂³	semidirect
392. #3270	C₂³	semidirect
393. #3269	C₂³	semidirect
394. #3269	C₂³	semidirect
395. #3268	C₂³	semidirect
396. #3268	C₂³	semidirect
397. #3267	C₂³	semidirect
398. #3267	C₂³	semidirect
399. #3266	C₂³	semidirect
400. #3266	C₂³	semidirect
401. #3265	C₂³	semidirect
402. #3265	C₂³	semidirect
403. #3264	C₂³	semidirect
404. #3264	C₂³	semidirect
405. #3156	C₂³	semidirect
406. #3156	C₂³	semidirect
407. #3155	C₂³	semidirect
408. #3155	C₂³	semidirect
409. #3154	C₂³	semidirect
410. #3154	C₂³	semidirect
411. #3154	C₂³	semidirect
412. #3154	C₂³	semidirect
413. #3153	C₂³	semidirect
414. #3153	C₂³	semidirect
415. #3152	C₂³	semidirect
416. #3152	C₂³	semidirect
417. #3151	C₂³	semidirect
418. #3151	C₂³	semidirect
419. #3150	C₂³	semidirect
420. #3147	C₂³	semidirect
421. #3063	C₂³	semidirect
422. #3063	C₂³	semidirect
423. #3062	C₂³	semidirect
424. #3062	C₂³	semidirect
425. #3061	C₂³	semidirect
426. #3061	C₂³	semidirect
427. #3060	C₂³	semidirect
428. #3060	C₂³	semidirect
429. #3056	C₂³	semidirect
430. #3056	C₂³	semidirect
431. #3055	C₂³	semidirect
432. #3055	C₂³	semidirect
433. C₂×#470	C₂³	semidirect
434. C₂×#469	C₂³	semidirect
435. C₂×#468	C₂³	semidirect
436. C₂×#468	C₂³	semidirect
437. C₂×#467	C₂³	semidirect
438. C₂×#466	C₂³	semidirect
439. C₂×#465	C₂³	semidirect
440. C₂×#465	C₂³	semidirect
441. #3046	C₂³	semidirect
442. #3046	C₂³	semidirect
443. #3046	C₂³	semidirect
444. #3046	C₂³	semidirect
445. #3045	C₂³	semidirect
446. #3045	C₂³	semidirect
447. #3045	C₂³	semidirect
448. #3045	C₂³	semidirect
449. #3044	C₂³	semidirect
450. #3043	C₂³	semidirect
451. #3042	C₂³	semidirect
452. #3041	C₂³	semidirect
453. #3040	C₂³	semidirect
454. #3039	C₂³	semidirect
455. #3038	C₂³	semidirect
456. #3037	C₂³	semidirect
457. #3037	C₂³	semidirect
458. #3037	C₂³	semidirect
459. #3037	C₂³	semidirect
460. #3036	C₂³	semidirect
461. #3036	C₂³	semidirect
462. #3036	C₂³	semidirect
463. #3036	C₂³	semidirect
464. #3035	C₂³	semidirect
465. #3035	C₂³	semidirect
466. C₂×#464	C₂³	semidirect
467. C₂×#462	C₂³	semidirect
468. C₂×#460	C₂³	semidirect
469. C₂×#463	C₂³	semidirect
470. C₂×#461	C₂³	semidirect
471. C₂×#459	C₂³	semidirect
472. #3013	C₂³	semidirect
473. #3013	C₂³	semidirect
474. #3013	C₂³	semidirect
475. #3013	C₂³	semidirect
476. #3013	C₂³	semidirect
477. #3013	C₂³	semidirect
478. #3013	C₂³	semidirect
479. #3013	C₂³	semidirect
480. #3012	C₂³	semidirect
481. #3012	C₂³	semidirect
482. #3012	C₂³	semidirect
483. #3012	C₂³	semidirect
484. #3012	C₂³	semidirect
485. #3012	C₂³	semidirect
486. #3012	C₂³	semidirect
487. #3012	C₂³	semidirect
488. #3011	C₂³	semidirect
489. #3011	C₂³	semidirect
490. #3010	C₂³	semidirect
491. #3010	C₂³	semidirect
492. #3009	C₂³	semidirect
493. #3009	C₂³	semidirect
494. #3008	C₂³	semidirect
495. #3008	C₂³	semidirect
496. #3007	C₂³	semidirect
497. #3007	C₂³	semidirect
498. #3007	C₂³	semidirect
499. #3007	C₂³	semidirect
500. #3006	C₂³	semidirect
501. #3006	C₂³	semidirect
502. #3006	C₂³	semidirect
503. #3006	C₂³	semidirect
504. #3005	C₂³	semidirect
505. #3005	C₂³	semidirect
506. #3004	C₂³	semidirect
507. #3003	C₂³	semidirect
508. #3002	C₂³	semidirect
509. #3002	C₂³	semidirect
510. C₂×#452	C₂³	semidirect
511. C₂×#452	C₂³	semidirect
512. C₂×#449	C₂³	semidirect
513. C₂×#449	C₂³	semidirect
514. C₂×#451	C₂³	semidirect
515. C₂×#448	C₂³	semidirect
516. C₂×#450	C₂³	semidirect
517. C₂×#447	C₂³	semidirect
518. #2952	C₂³	semidirect
519. #2951	C₂³	semidirect
520. #2947	C₂³	semidirect
521. #2946	C₂³	semidirect
522. C₄×#137	C₂³	semidirect
523. C₄×#137	C₂³	semidirect
524. C₄×AGL(1,ℤ/8)	C₂³	semidirect
525. C₄×AGL(1,ℤ/8)	C₂³	semidirect
526. C₂×#442	C₂³	semidirect
527. C₂×#441	C₂³	semidirect
528. C₂×#440	C₂³	semidirect
529. C₂×#440	C₂³	semidirect
530. C₂×C₄×Q₁₆	C₂³	semidirect
531. C₂×C₄×SD₁₆	C₂³	semidirect
532. C₂×C₄×SD₁₆	C₂³	semidirect
533. C₂×C₄×D₈	C₂³	semidirect
534. #2935	C₂³	semidirect
535. #2935	C₂³	semidirect
536. D₄×M₁₆	C₂³	semidirect
537. D₄×M₁₆	C₂³	semidirect
538. #2933	C₂³	semidirect
539. #2933	C₂³	semidirect
540. #2932	C₂³	semidirect
541. #2931	C₂³	semidirect
542. #2930	C₂³	semidirect
543. #2929	C₂³	semidirect
544. C₂×#428	C₂³	semidirect
545. C₂×#428	C₂³	semidirect
546. C₂×#428	C₂³	semidirect
547. C₂×#428	C₂³	semidirect
548. C₂²×#107	C₂³	semidirect
549. C₂²×#106	C₂³	semidirect
550. #2905	C₂³	semidirect
551. #2905	C₂³	semidirect
552. #2905	C₂³	semidirect
553. C₂×#424	C₂³	semidirect
554. C₂×#423	C₂³	semidirect
555. #2896	C₂³	semidirect
556. #2896	C₂³	semidirect
557. #2896	C₂³	semidirect
558. #2896	C₂³	semidirect
559. #2896	C₂³	semidirect
560. #2896	C₂³	semidirect
564. C₂×#417	C₂³	semidirect
565. C₂×#417	C₂³	semidirect
566. C₂×#417	C₂³	semidirect
567. C₂×#417	C₂³	semidirect
568. C₂×#417	C₂³	semidirect
569. C₂×#417	C₂³	semidirect
570. C₂×#417	C₂³	semidirect
571. C₂×#417	C₂³	semidirect
572. C₂×#417	C₂³	semidirect
573. C₂×#417	C₂³	semidirect
574. C₂×#417	C₂³	semidirect
575. C₂×#419	C₂³	semidirect
576. C₂×#419	C₂³	semidirect
577. C₂×#418	C₂³	semidirect
578. C₂×#418	C₂³	semidirect
580. C₂×#416	C₂³	semidirect
581. C₂²×#103	C₂³	semidirect
582. C₂²×#103	C₂³	semidirect
583. C₂²×#102	C₂³	semidirect
584. C₂²×#102	C₂³	semidirect
586. #2879	C₂³	semidirect
587. #2879	C₂³	semidirect
588. #2879	C₂³	semidirect
589. C₂×#408	C₂³	semidirect
590. C₂×#408	C₂³	semidirect
591. C₂×#407	C₂³	semidirect
592. #2873	C₂³	semidirect
593. #2873	C₂³	semidirect
594. C₂×#405	C₂³	semidirect
595. C₂×#405	C₂³	semidirect
596. C₂×C₄×M₁₆	C₂³	semidirect
619. C₂²×#41	C₂×D₄	semidirect
620. C₂²×#41	C₂×D₄	semidirect
672. #575	C₂×D₄	semidirect
673. #575	C₂×D₄	semidirect
674. C₂×#137	C₂×D₄	semidirect
675. C₂×#137	C₂×D₄	semidirect
699. C₂×AGL(1,ℤ/8)	C₂×D₄	semidirect
700. C₂×AGL(1,ℤ/8)	C₂×D₄	semidirect
724. C₂×#135	C₂×D₄	semidirect
766. C₂²×M₁₆	C₂×D₄	semidirect
1090. C₂×#41	C₂²×D₄	semidirect
1091. C₂×#41	C₂²×D₄	semidirect
1120. C₂²×Q₈	C₂²×D₄	semidirect
1149. C₂²×D₄	C₂²×D₄	semidirect
1185. #137	C₂²×D₄	semidirect
1186. #137	C₂²×D₄	semidirect
1188. AGL(1,ℤ/8)	C₂²×D₄	semidirect
1189. AGL(1,ℤ/8)	C₂²×D₄	semidirect
1190. #135	C₂²×D₄	semidirect
1191. C₂×Q₁₆	C₂²×D₄	semidirect
1197. C₂×SD₁₆	C₂²×D₄	semidirect
1198. C₂×SD₁₆	C₂²×D₄	semidirect
1209. C₂×D₈	C₂²×D₄	semidirect
1217. C₂×M₁₆	C₂²×D₄	semidirect
1218. C₂×M₁₆	C₂²×D₄	semidirect
1230. C₂²×C₈	C₂²×D₄	semidirect

Maximal subgroups

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

subgroup	index
C₂×#63090	2
#10586020	2
C₂×#62853	2
#10576134	2
#10576133	2
#10576132	2
#10576131	2
#10576124	2
#10576123	2
#10576115	2
#10576114	2
#10576113	2
#10576112	2
#10575251	2
#10574956	2
C₂×#60425	2
C₂×#60456	2
#10574839	2
C₂×#60371	2
#10574202	2
C₂×#60170	2