Subgroups — #72339585

Order 2048.

At least 15765 conjugacy classes of subgroups; only the 4884 normal subgroups are shown.

The subgroup lattice has 1397 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72339584	C₂	1	2	yes	maximal, complemented
2	#72339583	C₂	1	1	yes	maximal, characteristic, complemented
3	#72339582	C₂	1	1	yes	maximal, characteristic, complemented
4	#72339570	C₂	1	8	yes	maximal, complemented
5	#72339542	C₂	1	8	yes	maximal, complemented
6	#72339520	C₂	1	4	yes	maximal, complemented
7	#72339516	C₂	1	8	yes	maximal, complemented
8	#72339503	C₂	1	4	yes	maximal, complemented
9	#72339484	C₂	1	4	yes	maximal, complemented
10	#72316678	C₂	1	2	yes	maximal, complemented
11	#72313716	C₂	1	2	yes	maximal, complemented
12	#72313062	C₂	1	4	yes	maximal, complemented
13	#72310688	C₂	1	4	yes	maximal, complemented
14	#72310578	C₂	1	4	yes	maximal, complemented
15	#72306136	C₂	1	2	yes	maximal, complemented
16	C₂×#6437518	C₂	1	1	yes	maximal, characteristic, complemented
17	#72249629	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#6491100	C₂	1	1	yes	maximal, characteristic, complemented
19	#72238181	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#201386	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂⁴×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
22	C₂×#62773	C₂²	1	1	yes	characteristic
23	C₂²×D₄×#41	C₂²	1	1	yes	characteristic
24	#10577310	C₂²	1	4	yes	complemented
25	#10577309	C₂²	1	2	yes	complemented
26	#10577308	C₂²	1	2	yes	complemented
27	#10577304	C₂²	1	2	yes	complemented
28	#10577303	C₂²	1	2	yes	complemented
29	#10577302	C₂²	1	2	yes	complemented
30	#10577301	C₂²	1	2	yes	complemented
31	#10577179	C₂²	1	4	yes	complemented
32	#10577166	C₂²	1	4	yes	complemented
33	#10575416	C₂²	1	2	yes	—
34	C₂×#60359	C₂²	1	2	yes	—
35	C₂²×#3003	C₂²	1	1	yes	characteristic, complemented
36	C₂×#60230	C₂²	1	1	yes	characteristic
37	C₂×#35222	C₂²	1	2	yes	complemented
38	C₂²×#2408	C₂²	1	1	yes	characteristic
39	#7625442	C₂²	1	2	yes	complemented
40	#6491100	C₂²	1	4	yes	—
41	#6491100	C₂²	1	4	yes	complemented
42	#6491100	C₂²	1	4	yes	complemented
43	#6491100	C₂²	1	4	yes	complemented
44	C₂×#25585	C₂²	1	4	yes	complemented
45	C₂×#25947	C₂²	1	2	yes	complemented
46	C₂×#25771	C₂²	1	2	yes	complemented
47	#6437698	C₂²	1	16	yes	complemented
48	#6437685	C₂²	1	8	yes	complemented
49	#6437684	C₂²	1	8	yes	complemented
50	#6437668	C₂²	1	8	yes	complemented
51	#6437664	C₂²	1	8	yes	complemented
52	#6437518	C₂²	1	4	yes	—
53	#6437518	C₂²	1	4	yes	complemented
54	#6437518	C₂²	1	4	yes	complemented
55	#6437518	C₂²	1	4	yes	complemented
56	C₂×#23855	C₂²	1	2	yes	complemented
57	C₂×#23858	C₂²	1	2	yes	complemented
58	C₂×#23851	C₂²	1	2	yes	complemented
59	C₂×#23848	C₂²	1	2	yes	complemented
60	#6386368	C₂²	1	4	yes	complemented
61	#6386368	C₂²	1	4	yes	complemented
62	#6386291	C₂²	1	2	yes	complemented
63	#6386222	C₂²	1	2	yes	complemented
64	#6386107	C₂²	1	2	yes	complemented
65	#6385971	C₂²	1	2	yes	complemented
66	#41×#99	C₂²	1	4	yes	complemented
67	#41×#99	C₂²	1	4	yes	complemented
68	#6374576	C₂²	1	2	yes	complemented
69	C₂×#21874	C₂²	1	2	yes	complemented
70	#6371477	C₂²	1	2	yes	complemented
71	C₂×#20971	C₂²	1	1	yes	characteristic, complemented
72	C₂×#20898	C₂²	1	1	yes	characteristic
73	#6371257	C₂²	1	2	yes	complemented
74	C₂×#20722	C₂²	1	1	yes	characteristic
75	C₂×#20722	C₂²	1	1	yes	characteristic
76	C₂×#20601	C₂²	1	1	yes	characteristic, complemented
77	C₂×#20598	C₂²	1	2	yes	complemented
78	#6343373	C₂²	1	2	yes	complemented
79	#267463	C₂²	1	16	yes	complemented
80	#267455	C₂²	1	16	yes	complemented
81	#267443	C₂²	1	16	yes	complemented
82	#267435	C₂²	1	16	yes	complemented
83	#267427	C₂²	1	32	yes	complemented
84	#267419	C₂²	1	32	yes	complemented
85	#267411	C₂²	1	32	yes	complemented
86	#267403	C₂²	1	32	yes	complemented
87	#267399	C₂²	1	16	yes	complemented
88	#267391	C₂²	1	16	yes	complemented
89	#267379	C₂²	1	16	yes	complemented
90	#267371	C₂²	1	16	yes	complemented
91	#239388	C₂²	1	8	yes	complemented
92	#239387	C₂²	1	8	yes	complemented
93	#239384	C₂²	1	8	yes	complemented
94	#239383	C₂²	1	8	yes	complemented
95	#239362	C₂²	1	16	yes	complemented
96	#235101	C₂²	1	8	yes	complemented
97	#235099	C₂²	1	8	yes	complemented
98	#235079	C₂²	1	16	yes	complemented
99	#235056	C₂²	1	8	yes	complemented
100	#235055	C₂²	1	8	yes	complemented
101	#201386	C₂²	1	4	yes	complemented
102	#201386	C₂²	1	4	yes	complemented
103	#201386	C₂²	1	4	yes	complemented
104	#201386	C₂²	1	4	yes	complemented
105	C₂×#9472	C₂²	1	4	yes	complemented
106	C₂×#9468	C₂²	1	4	yes	complemented
107	#198474	C₂²	1	16	yes	complemented
108	#198436	C₂²	1	8	yes	complemented
109	#198432	C₂²	1	8	yes	complemented
110	#198416	C₂²	1	8	yes	complemented
111	#198412	C₂²	1	8	yes	complemented
112	#192046	C₂²	1	4	yes	complemented
113	#192046	C₂²	1	4	yes	complemented
114	#192042	C₂²	1	4	yes	complemented
115	#192042	C₂²	1	4	yes	complemented
116	#192038	C₂²	1	4	yes	complemented
117	#192034	C₂²	1	4	yes	complemented
118	#185345	C₂²	1	4	yes	complemented
119	#185345	C₂²	1	4	yes	complemented
120	#185343	C₂²	1	4	yes	complemented
121	#185341	C₂²	1	2	yes	complemented
122	#185339	C₂²	1	2	yes	complemented
123	#185329	C₂²	1	4	yes	complemented
124	#185329	C₂²	1	4	yes	complemented
125	#181480	C₂²	1	2	yes	complemented
126	C₂×#7983	C₂²	1	2	yes	complemented
127	C₂⁴×#41	D₄	1	1	yes	characteristic, complemented
128	C₂⁴×#41	C₂³	1	1	yes	characteristic
129	C₂⁵×D₄	C₂³	1	1	yes	characteristic
130	C₂²×#575	D₄	1	2	yes	complemented
131	C₂²×#575	D₄	1	2	yes	complemented
132	C₂³×AGL(1,ℤ/8)	C₂³	1	4	yes	—
133	C₂³×AGL(1,ℤ/8)	C₂³	1	4	yes	complemented
134	C₂⁴×SD₁₆	C₂³	1	2	yes	complemented
135	C₂⁴×D₈	C₂³	1	2	yes	complemented
136	C₂⁴×M₁₆	C₂³	1	1	yes	characteristic
137	#62773	C₂³	1	2	yes	—
138	#62773	C₂³	1	2	yes	—
139	#62773	C₂³	1	2	yes	—
140	#62773	C₂³	1	2	yes	—
141	C₂×#3505	C₂³	1	2	yes	—
142	C₂×#3501	C₂³	1	1	yes	characteristic
143	C₂×#3496	C₂³	1	1	yes	characteristic
144	C₂×D₄×#41	D₄	1	2	yes	complemented
145	C₂×D₄×#41	D₄	1	2	yes	complemented
146	C₂×D₄×#41	D₄	1	2	yes	complemented
147	C₂×D₄×#41	D₄	1	2	yes	complemented
148	C₂×D₄×#41	C₂³	1	2	yes	—
149	C₂×D₄×#41	C₂³	1	2	yes	—
150	C₂×D₄×#41	C₂³	1	2	yes	—
151	C₂×D₄×#41	C₂³	1	2	yes	—
152	C₂²×#550	D₄	1	1	yes	characteristic, complemented
153	C₂²×#547	D₄	1	1	yes	characteristic, complemented
154	C₂²×#548	D₄	1	1	yes	characteristic, complemented
155	C₂²×#548	C₂³	1	1	yes	characteristic
156	C₂²×#546	D₄	1	1	yes	characteristic, complemented
157	C₂²×#546	C₂³	1	1	yes	characteristic
158	C₂²×D₄×Q₈	C₂³	1	1	yes	characteristic
159	C₂²×D₄²	C₂³	1	1	yes	characteristic
160	C₂²×#532	D₄	1	1	yes	characteristic, complemented
161	C₂²×#525	D₄	1	1	yes	characteristic, complemented
162	C₂²×#525	C₂³	1	1	yes	characteristic
163	C₂²×#525	C₂³	1	2	yes	—
164	C₂²×C₄×#41	D₄	1	1	yes	characteristic, complemented
165	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
166	#61574	C₂³	1	8	yes	complemented
167	#61573	C₂³	1	4	yes	complemented
168	#61572	C₂³	1	4	yes	complemented
169	#61571	C₂³	1	8	yes	complemented
170	#61570	C₂³	1	4	yes	complemented
171	#61569	C₂³	1	4	yes	complemented
172	#61564	C₂³	1	8	yes	complemented
173	#61563	C₂³	1	4	yes	complemented
174	#61562	C₂³	1	4	yes	complemented
175	#61561	C₂³	1	8	yes	complemented
176	#61560	C₂³	1	4	yes	complemented
177	#61559	C₂³	1	4	yes	complemented
178	#60751	C₂³	1	4	yes	—
179	#60751	C₂³	1	4	yes	—
180	#60750	C₂³	1	4	yes	—
181	#60750	C₂³	1	4	yes	—
182	#60734	C₂³	1	8	yes	—
183	C₂×#3007	D₄	1	4	yes	complemented
184	C₂×#3007	C₂³	1	4	yes	—
185	C₂×#3006	D₄	1	4	yes	complemented
186	C₂×#3006	C₂³	1	4	yes	—
187	C₂×#3005	D₄	1	4	yes	complemented
188	C₂×#3005	D₄	1	4	yes	complemented
189	C₂×#3004	C₂³	1	4	yes	—
190	C₂×#3003	C₂³	1	4	yes	—
191	C₂×#3003	C₂³	1	4	yes	—
192	C₂×#3003	C₂³	1	4	yes	complemented
193	C₂×#3002	D₄	1	8	yes	complemented
194	C₂×#3002	C₂³	1	8	yes	—
195	C₂²×#450	C₂³	1	2	yes	complemented
196	C₂²×#447	C₂³	1	2	yes	complemented
197	#60230	C₂³	1	2	yes	—
198	#60230	C₂³	1	2	yes	—
199	#60230	C₂³	1	2	yes	—
200	#60230	C₂³	1	2	yes	—
201	C₂×#2973	C₂³	1	2	yes	—
202	C₂×#2972	C₂³	1	2	yes	—
203	C₂×#2896	D₄	1	2	yes	complemented
204	C₂×#2896	D₄	1	2	yes	complemented
205	C₂²×#407	C₂³	1	1	yes	characteristic
206	C₂²×#407	C₂³	1	2	yes	—
207	#35222	C₂³	1	8	yes	—
208	#35222	C₂³	1	8	yes	complemented
209	C₂×#2435	C₂³	1	4	yes	complemented
210	C₂×#2433	C₂³	1	4	yes	complemented
211	C₂×#2408	C₂³	1	2	yes	—
212	C₂×#2408	C₂³	1	2	yes	—
213	C₂×#2408	C₂³	1	2	yes	—
214	C₂×#2408	C₂³	1	2	yes	—
215	C₂×#2408	C₂³	1	2	yes	—
216	C₂×#2408	C₂³	1	2	yes	—
217	#34175	C₂³	1	8	yes	complemented
218	#34173	C₂³	1	4	yes	complemented
219	#34171	C₂³	1	4	yes	complemented
220	C₂²⋊C₄×#41	C₂³	1	8	yes	—
221	C₂×#2280	C₂³	1	2	yes	—
222	C₂×#2280	C₂³	1	2	yes	—
223	C₂²×#380	C₂³	1	1	yes	characteristic
224	#25947	C₂³	1	8	yes	—
225	#25947	C₂³	1	8	yes	complemented
226	#25771	C₂³	1	8	yes	—
227	#25771	C₂³	1	8	yes	complemented
228	#25585	C₂³	1	16	yes	—
229	#25585	C₂³	1	16	yes	complemented
230	#24357	C₂³	1	32	yes	complemented
231	#24356	C₂³	1	32	yes	complemented
232	#24355	C₂³	1	32	yes	complemented
233	#24354	C₂³	1	32	yes	complemented
234	#23858	C₂³	1	8	yes	—
235	#23858	C₂³	1	8	yes	complemented
236	#23855	C₂³	1	8	yes	—
237	#23855	C₂³	1	8	yes	complemented
238	#23851	C₂³	1	8	yes	—
239	#23851	C₂³	1	8	yes	complemented
240	#23848	C₂³	1	8	yes	—
241	#23848	C₂³	1	8	yes	complemented
242	#22534	C₂³	1	8	yes	complemented
243	#22534	C₂³	1	8	yes	complemented
244	Q₈×#99	C₂³	1	8	yes	complemented
245	Q₈×#99	C₂³	1	8	yes	complemented
246	#22476	C₂³	1	8	yes	complemented
247	#22476	C₂³	1	8	yes	complemented
248	D₄×#99	C₂³	1	8	yes	complemented
249	D₄×#99	C₂³	1	8	yes	complemented
250	#21874	C₂³	1	8	yes	—
251	#21874	C₂³	1	8	yes	complemented
252	#21874	C₂³	1	8	yes	complemented
253	#21825	C₂³	1	4	yes	complemented
254	#21793	C₂³	1	4	yes	complemented
255	#21420	C₂³	1	8	yes	—
256	C₂×#1996	C₂³	1	4	yes	complemented
257	C₂×#1964	C₂³	1	4	yes	complemented
258	#20973	C₂³	1	4	yes	complemented
259	#20972	C₂³	1	4	yes	complemented
260	#20971	C₂³	1	4	yes	—
261	#20971	C₂³	1	8	yes	complemented
262	#20971	C₂³	1	4	yes	complemented
263	#20967	C₂³	1	8	yes	—
264	C₂×#1893	C₂³	1	2	yes	complemented
265	C₂×#1892	C₂³	1	2	yes	complemented
266	#20898	C₂³	1	2	yes	—
267	#20898	C₂³	1	2	yes	—
268	#20898	C₂³	1	2	yes	—
269	#20898	C₂³	1	2	yes	—
270	C₂×#1869	C₂³	1	2	yes	—
271	C₂×#1869	C₂³	1	2	yes	—
272	#20837	C₂³	1	8	yes	complemented
273	#20836	C₂³	1	8	yes	complemented
274	#20834	C₂³	1	8	yes	complemented
275	#20722	D₄	1	2	yes	—
276	#20722	D₄	1	2	yes	—
277	#20722	D₄	1	2	yes	—
278	#20722	D₄	1	2	yes	—
279	#20722	C₂³	1	2	yes	—
280	#20722	C₂³	1	2	yes	—
281	#20722	C₂³	1	2	yes	—
282	#20722	C₂³	1	2	yes	—
283	#20722	C₂³	1	2	yes	—
284	#20722	C₂³	1	2	yes	—
285	#20722	C₂³	1	2	yes	—
286	#20722	C₂³	1	2	yes	—
287	C₂×#1819	D₄	1	2	yes	—
288	C₂×#1799	D₄	1	2	yes	—
289	C₂×#1799	D₄	1	2	yes	—
290	C₂×#1799	C₂³	1	2	yes	—
291	C₂×#1799	C₂³	1	2	yes	—
292	#20601	C₂³	1	4	yes	—
293	#20601	C₂³	1	4	yes	complemented
294	#20598	C₂³	1	8	yes	complemented
295	#20598	C₂³	1	8	yes	complemented
296	C₂×#1787	C₂³	1	2	yes	complemented
297	C₂×#1786	C₂³	1	2	yes	complemented
298	C₂×#1786	C₂³	1	8	yes	complemented
299	C₂×#1781	D₄	1	2	yes	—
300	C₂×C₄×#99	C₂³	1	2	yes	—
301	C₂×C₄×#99	C₂³	1	2	yes	—
302	#17592	C₂³	1	8	yes	complemented
303	#17578	C₂³	1	4	yes	complemented
304	#17577	C₂³	1	4	yes	complemented
305	#17572	C₂³	1	8	yes	—
306	#10566	C₂³	1	32	yes	complemented
307	#10565	C₂³	1	32	yes	complemented
308	#10565	C₂³	1	32	yes	complemented
309	#10564	C₂³	1	32	yes	complemented
310	#9955	C₂³	1	32	yes	complemented
311	#9954	C₂³	1	32	yes	complemented
312	#9947	C₂³	1	32	yes	complemented
313	#9946	C₂³	1	32	yes	complemented
314	#9472	C₂³	1	16	yes	complemented
315	#9472	C₂³	1	16	yes	complemented
316	#9468	C₂³	1	16	yes	—
317	#9468	C₂³	1	16	yes	complemented
318	#9262	C₂³	1	32	yes	complemented
319	#9259	C₂³	1	32	yes	complemented
320	#9258	C₂³	1	32	yes	complemented
321	#9255	C₂³	1	32	yes	complemented
322	#8852	C₂³	1	16	yes	complemented
323	#8852	C₂³	1	16	yes	complemented
324	#8851	C₂³	1	16	yes	complemented
325	#8851	C₂³	1	16	yes	complemented
326	#8352	C₂³	1	16	yes	complemented
327	#8352	C₂³	1	16	yes	complemented
328	#8351	C₂³	1	8	yes	complemented
329	#8351	C₂³	1	8	yes	complemented
330	#8350	C₂³	1	8	yes	complemented
331	#8350	C₂³	1	8	yes	complemented
332	#7983	C₂³	1	8	yes	complemented
333	#7983	C₂³	1	8	yes	complemented
334	C₂×#1289	C₂³	1	8	yes	complemented
335	#7929	C₂³	1	8	yes	complemented
336	#7927	C₂³	1	8	yes	complemented
337	#7925	C₂³	1	8	yes	complemented
338	C₂³×#41	C₂×D₄	1	2	yes	—
339	C₂³×#41	C₂×D₄	1	1	yes	characteristic
340	C₂³×#41	C₂×D₄	1	1	yes	characteristic
341	C₂³×#41	C₂×D₄	1	2	yes	—
342	C₂³×#41	C₂×D₄	1	2	yes	—
343	C₂³×#41	C₂×D₄	1	1	yes	characteristic
344	C₂³×#41	C₂×D₄	1	2	yes	—
345	C₂³×#41	C₂×D₄	1	2	yes	—
346	C₂³×#41	C₂×D₄	1	4	yes	—
347	C₂³×#41	C₂×D₄	1	1	yes	characteristic
348	C₂³×#41	C₂×D₄	1	1	yes	characteristic
349	C₂³×#41	C₂×D₄	1	2	yes	—
350	C₂³×#41	C₂×D₄	1	2	yes	—
351	C₂³×#41	C₂×D₄	1	2	yes	—
352	C₂³×#41	C₂×D₄	1	2	yes	—
353	C₂³×#41	C₂×D₄	1	4	yes	—
354	C₂³×#41	C₂×D₄	1	1	yes	characteristic, complemented
355	C₂³×#41	C₂×D₄	1	1	yes	characteristic, complemented
356	C₂³×#41	C₂×D₄	1	2	yes	complemented
357	C₂³×#41	C₂×D₄	1	2	yes	complemented
358	C₂³×#41	C₂⁴	1	2	yes	—
359	C₂³×#41	C₂⁴	1	2	yes	—
360	C₂⁴×Q₈	C₂×D₄	1	1	yes	characteristic, complemented
361	C₂⁴×Q₈	C₂⁴	1	1	yes	characteristic
362	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
363	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic, complemented
364	C₂⁴×D₄	C₂⁴	1	2	yes	—
365	C₂⁴×D₄	C₂⁴	1	2	yes	—
366	C₂⁴×D₄	C₂⁴	1	2	yes	—
367	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
368	C₂⁵×C₄	C₂×D₄	1	1	yes	characteristic
369	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
370	C₂²×#137	C₂×D₄	1	4	yes	complemented
371	C₂²×#137	C₂×D₄	1	4	yes	complemented
372	C₂²×#137	C₂×D₄	1	4	yes	complemented
373	C₂²×#137	C₂×D₄	1	4	yes	complemented
374	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	complemented
375	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	complemented
376	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	complemented
377	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	4	yes	complemented
378	C₂²×#135	C₂×D₄	1	8	yes	complemented
379	C₂²×#135	C₂×D₄	1	8	yes	complemented
380	C₂³×SD₁₆	C₂⁴	1	8	yes	—
381	C₂³×D₈	C₂⁴	1	8	yes	—
382	C₂³×M₁₆	C₂×D₄	1	2	yes	—
383	C₂³×M₁₆	C₂×D₄	1	2	yes	—
384	C₂³×M₁₆	C₂⁴	1	2	yes	—
385	C₂³×M₁₆	C₂⁴	1	2	yes	—
386	C₂⁴×C₈	C₂⁴	1	2	yes	—
387	#3505	C₂⁴	1	4	yes	—
388	#3505	C₂⁴	1	4	yes	—
389	#3501	C₂⁴	1	2	yes	—
390	#3501	C₂⁴	1	2	yes	—
391	#3496	C₂⁴	1	2	yes	—
392	#3496	C₂⁴	1	2	yes	—
393	C₂×#550	C₂×D₄	1	2	yes	—
394	C₂×#550	C₂×D₄	1	2	yes	—
395	C₂×#550	C₂×D₄	1	2	yes	complemented
396	C₂×#550	C₂×D₄	1	2	yes	complemented
397	C₂×D₄×Q₈	C₂×D₄	1	2	yes	complemented
398	C₂×D₄×Q₈	C₂×D₄	1	2	yes	complemented
399	C₂×D₄×Q₈	C₂⁴	1	2	yes	—
400	C₂×D₄×Q₈	C₂⁴	1	2	yes	—
401	C₂×#548	C₂×D₄	1	2	yes	—
402	C₂×#548	C₂×D₄	1	2	yes	—
403	C₂×#548	C₂×D₄	1	2	yes	complemented
404	C₂×#548	C₂×D₄	1	2	yes	complemented
405	C₂×#548	C₂×D₄	1	2	yes	complemented
406	C₂×#548	C₂×D₄	1	2	yes	complemented
407	C₂×#548	C₂⁴	1	2	yes	—
408	C₂×#548	C₂⁴	1	2	yes	—
409	C₂×#547	C₂×D₄	1	2	yes	—
410	C₂×#547	C₂×D₄	1	2	yes	—
411	C₂×#547	C₂×D₄	1	2	yes	complemented
412	C₂×#547	C₂×D₄	1	2	yes	complemented
413	C₂×#546	C₂×D₄	1	2	yes	—
414	C₂×#546	C₂×D₄	1	2	yes	—
415	C₂×#546	C₂×D₄	1	2	yes	complemented
416	C₂×#546	C₂×D₄	1	2	yes	complemented
417	C₂×#546	C₂×D₄	1	2	yes	complemented
418	C₂×#546	C₂×D₄	1	2	yes	complemented
419	C₂×#546	C₂⁴	1	2	yes	—
420	C₂×#546	C₂⁴	1	2	yes	—
421	C₂×D₄²	C₂×D₄	1	2	yes	complemented
422	C₂×D₄²	C₂×D₄	1	2	yes	complemented
423	C₂×D₄²	C₂⁴	1	2	yes	—
424	C₂×D₄²	C₂⁴	1	2	yes	—
425	C₂×#532	C₂×D₄	1	2	yes	—
426	C₂×#532	C₂×D₄	1	2	yes	—
427	C₂×#532	C₂×D₄	1	2	yes	complemented
428	C₂×#532	C₂×D₄	1	2	yes	complemented
429	C₂²×C₄⋊Q₈	C₂×D₄	1	1	yes	characteristic, complemented
430	C₂²×#127	C₂×D₄	1	1	yes	characteristic, complemented
431	C₂²×#124	C₂×D₄	1	1	yes	characteristic, complemented
432	C₂²×#124	C₂×D₄	1	1	yes	characteristic, complemented
433	C₂×#525	C₂×D₄	1	4	yes	—
434	C₂×#525	C₂×D₄	1	4	yes	—
435	C₂×#525	C₂×D₄	1	2	yes	—
436	C₂×#525	C₂×D₄	1	2	yes	—
437	C₂×#525	C₂×D₄	1	2	yes	—
438	C₂×#525	C₂×D₄	1	2	yes	—
439	C₂×#525	C₂×D₄	1	2	yes	complemented
440	C₂×#525	C₂×D₄	1	2	yes	complemented
441	C₂×#525	C₂⁴	1	4	yes	—
442	C₂×#525	C₂⁴	1	4	yes	—
443	C₂×#525	C₂⁴	1	2	yes	—
444	C₂×#525	C₂⁴	1	2	yes	—
445	C₂²×C₂²⋊Q₈	C₂×D₄	1	2	yes	—
446	C₂²×C₂²⋊Q₈	C₂×D₄	1	1	yes	characteristic
447	C₂²×C₂²⋊Q₈	C₂×D₄	1	1	yes	characteristic, complemented
448	C₂²×C₂²⋊Q₈	C₂×D₄	1	1	yes	characteristic, complemented
449	C₂²×C₂²⋊Q₈	C₂⁴	1	2	yes	—
450	C₂²×C₂²⋊Q₈	C₂⁴	1	1	yes	characteristic
451	C₂²×#121	C₂×D₄	1	2	yes	—
452	C₂²×#121	C₂×D₄	1	1	yes	characteristic
453	C₂²×#121	C₂×D₄	1	1	yes	characteristic, complemented
454	C₂²×#121	C₂×D₄	1	1	yes	characteristic, complemented
455	C₂²×#121	C₂⁴	1	1	yes	characteristic
456	C₂²×#121	C₂⁴	1	2	yes	—
457	C₂×C₄×#41	C₂×D₄	1	2	yes	—
458	C₂×C₄×#41	C₂×D₄	1	2	yes	—
459	C₂×C₄×#41	C₂×D₄	1	2	yes	complemented
460	C₂×C₄×#41	C₂×D₄	1	2	yes	complemented
461	C₂²×C₄×Q₈	C₂×D₄	1	1	yes	characteristic, complemented
462	C₂²×C₄×Q₈	C₂×D₄	1	1	yes	characteristic, complemented
463	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
464	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
465	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
466	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
467	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
468	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
469	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
470	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
471	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
472	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
473	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
474	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
475	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic, complemented
476	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic, complemented
477	C₂²×C₄×D₄	#41	1	1	yes	characteristic
478	C₂²×C₄×D₄	#41	1	1	yes	characteristic
479	C₂²×C₄×D₄	#41	1	1	yes	characteristic
480	C₂²×C₄×D₄	#41	1	1	yes	characteristic
481	C₂²×C₄×D₄	#41	1	1	yes	characteristic
482	C₂²×C₄×D₄	#41	1	1	yes	characteristic
483	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
484	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
485	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
489	C₂²×#117	C₂×D₄	1	1	yes	characteristic
490	C₂²×#117	C₂×D₄	1	2	yes	—
491	C₂³×C₄⋊C₄	#41	1	1	yes	characteristic
492	C₂³×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
493	C₂³×C₂²⋊C₄	#41	1	1	yes	characteristic
494	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
495	#3189	C₂⁴	1	8	yes	—
496	#3187	C₂⁴	1	8	yes	—
497	#3187	C₂⁴	1	8	yes	—
498	#3186	C₂⁴	1	8	yes	—
499	C₂×#452	C₂×D₄	1	8	yes	complemented
500	C₂×#452	C₂×D₄	1	8	yes	complemented
501	C₂×#452	C₂×D₄	1	8	yes	complemented
502	C₂×#452	C₂×D₄	1	8	yes	complemented
503	C₂×#449	C₂×D₄	1	8	yes	complemented
504	C₂×#449	C₂×D₄	1	8	yes	complemented
505	C₂×#449	C₂×D₄	1	8	yes	complemented
506	C₂×#449	C₂×D₄	1	8	yes	complemented
507	C₂×#451	C₂×D₄	1	8	yes	complemented
508	C₂×#451	C₂⁴	1	8	yes	—
509	C₂×#448	C₂×D₄	1	8	yes	complemented
510	C₂×#448	C₂⁴	1	8	yes	—
511	C₂×#450	C₂×D₄	1	8	yes	complemented
512	C₂×#450	C₂⁴	1	8	yes	—
513	C₂×#450	C₂⁴	1	8	yes	—
514	C₂×#447	C₂×D₄	1	8	yes	complemented
515	C₂×#447	C₂⁴	1	8	yes	—
516	C₂×#447	C₂⁴	1	8	yes	—
517	#2973	C₂⁴	1	4	yes	—
518	#2973	C₂⁴	1	4	yes	—
519	#2972	C₂⁴	1	4	yes	—
520	#2972	C₂⁴	1	4	yes	—
521	C₂×#417	C₂×D₄	1	4	yes	complemented
522	C₂×#417	C₂×D₄	1	4	yes	complemented
523	C₂×#417	C₂×D₄	1	4	yes	complemented
524	C₂×#417	C₂×D₄	1	4	yes	complemented
525	C₂×#419	C₂×D₄	1	4	yes	complemented
526	C₂×#419	C₂×D₄	1	4	yes	complemented
527	C₂×#418	C₂×D₄	1	4	yes	complemented
528	C₂×#418	C₂×D₄	1	4	yes	complemented
529	C₂×#416	C₂×D₄	1	8	yes	complemented
530	C₂×#416	C₂×D₄	1	8	yes	complemented
531	C₂²×#99	C₂×D₄	1	4	yes	—
532	C₂²×#99	C₂×D₄	1	4	yes	—
533	C₂×#407	C₂×D₄	1	4	yes	—
534	C₂×#407	C₂×D₄	1	4	yes	—
535	C₂×#407	C₂⁴	1	2	yes	—
536	C₂×#407	C₂⁴	1	2	yes	—
537	C₂×#407	C₂⁴	1	4	yes	—
538	C₂×#407	C₂⁴	1	4	yes	—
539	C₂²×C₂²⋊C₈	C₂×D₄	1	4	yes	—
540	C₂²×C₂²⋊C₈	C₂⁴	1	2	yes	—
541	C₂²×C₂²⋊C₈	C₂⁴	1	4	yes	—
542	#2435	C₂⁴	1	16	yes	—
543	#2433	C₂⁴	1	16	yes	—
544	#2408	C₂⁴	1	4	yes	—
545	#2408	C₂⁴	1	4	yes	—
546	#2408	C₂⁴	1	4	yes	—
547	#2408	C₂⁴	1	4	yes	—
548	Q₈×C₂²⋊C₄	C₂⁴	1	16	yes	—
549	D₄×C₂²⋊C₄	C₂⁴	1	16	yes	—
550	#2280	C₂×D₄	1	4	yes	—
551	#2280	C₂×D₄	1	4	yes	—
552	#2280	C₂⁴	1	4	yes	—
553	#2280	C₂⁴	1	4	yes	—
554	#2280	C₂⁴	1	4	yes	—
555	#2280	C₂⁴	1	4	yes	—
556	C₂×#380	C₂×D₄	1	4	yes	—
557	C₂×#380	C₂⁴	1	2	yes	—
558	C₂×#380	C₂⁴	1	4	yes	—
559	C₂×#380	C₂⁴	1	2	yes	—
560	C₂×#380	C₂⁴	1	2	yes	—
561	C₂×#379	C₂×D₄	1	4	yes	—
562	C₂×C₄×C₂²⋊C₄	C₂⁴	1	4	yes	—
563	#1996	C₂⁴	1	16	yes	—
564	#1996	C₂⁴	1	16	yes	—
565	#1964	C₂⁴	1	16	yes	—
566	#1964	C₂⁴	1	16	yes	—
567	#1893	C₂⁴	1	16	yes	—
568	#1893	C₂⁴	1	8	yes	—
569	#1892	C₂⁴	1	16	yes	—
570	#1892	C₂⁴	1	8	yes	—
571	#1869	C₂⁴	1	4	yes	—
572	#1869	C₂⁴	1	4	yes	—
573	#1869	C₂⁴	1	4	yes	—
574	#1869	C₂⁴	1	4	yes	—
575	#1850	C₂⁴	1	32	yes	—
576	#1819	C₂×D₄	1	4	yes	—
577	#1819	C₂×D₄	1	4	yes	—
578	#1819	C₂×D₄	1	4	yes	—
579	#1819	C₂×D₄	1	4	yes	—
580	#1799	C₂×D₄	1	4	yes	—
581	#1799	C₂×D₄	1	4	yes	—
582	#1799	C₂×D₄	1	4	yes	—
583	#1799	C₂×D₄	1	4	yes	—
584	#1799	C₂×D₄	1	4	yes	—
585	#1799	C₂×D₄	1	4	yes	—
586	#1799	C₂×D₄	1	4	yes	—
587	#1799	C₂×D₄	1	4	yes	—
588	#1799	C₂⁴	1	4	yes	—
589	#1799	C₂⁴	1	4	yes	—
590	#1799	C₂⁴	1	4	yes	—
591	#1799	C₂⁴	1	4	yes	—
592	#1787	C₂⁴	1	8	yes	—
593	#1786	C₂⁴	1	32	yes	—
594	#1786	C₂⁴	1	8	yes	—
595	#1781	C₂×D₄	1	4	yes	—
596	#1781	C₂×D₄	1	4	yes	—
597	#1781	C₂×D₄	1	4	yes	—
598	#1781	C₂×D₄	1	4	yes	—
599	C₄×#99	C₂×D₄	1	4	yes	—
600	C₄×#99	C₂×D₄	1	4	yes	—
601	C₄×#99	C₂×D₄	1	4	yes	—
602	C₄×#99	C₂×D₄	1	4	yes	—
603	C₄×#99	C₂⁴	1	4	yes	—
604	C₄×#99	C₂⁴	1	4	yes	—
605	C₄×#99	C₂⁴	1	4	yes	—
606	C₄×#99	C₂⁴	1	4	yes	—
607	C₂×#342	C₂×D₄	1	4	yes	—
608	C₂×#342	C₂×D₄	1	4	yes	—
609	#1520	C₂⁴	1	16	yes	—
610	#1519	C₂⁴	1	16	yes	—
611	#1289	C₂⁴	1	32	yes	—
612	#1282	C₂⁴	1	32	yes	—
613	C₂⁶	#121	1	1	yes	characteristic
614	C₂⁶	C₂²×D₄	1	1	yes	characteristic
615	C₂²×#41	#120	1	1	yes	characteristic
616	C₂²×#41	#120	1	2	yes	—
617	C₂²×#41	#120	1	2	yes	—
618	C₂²×#41	#120	1	1	yes	characteristic
619	C₂²×#41	#120	1	1	yes	characteristic
620	C₂²×#41	#120	1	2	yes	—
621	C₂²×#41	#120	1	2	yes	—
622	C₂²×#41	#120	1	2	yes	—
623	C₂²×#41	#120	1	4	yes	—
624	C₂²×#41	#120	1	4	yes	—
625	C₂²×#41	#120	1	1	yes	characteristic
626	C₂²×#41	#120	1	2	yes	—
627	C₂²×#41	#120	1	2	yes	—
628	C₂²×#41	#120	1	4	yes	—
629	C₂²×#41	#120	1	4	yes	—
630	C₂²×#41	#120	1	2	yes	—
631	C₂²×#41	#120	1	2	yes	—
632	C₂²×#41	#120	1	2	yes	—
633	C₂²×#41	#120	1	4	yes	—
634	C₂²×#41	#120	1	4	yes	—
635	C₂²×#41	#120	1	4	yes	—
636	C₂²×#41	#120	1	4	yes	—
637	C₂²×#41	#120	1	4	yes	—
638	C₂²×#41	#120	1	4	yes	—
639	C₂²×#41	C₂²×D₄	1	2	yes	—
640	C₂²×#41	C₂²×D₄	1	2	yes	—
641	C₂²×#41	C₂²×D₄	1	4	yes	—
642	C₂²×#41	C₂²×D₄	1	4	yes	—
643	C₂²×#41	C₂²×D₄	1	2	yes	—
644	C₂²×#41	C₂²×D₄	1	2	yes	—
645	C₂²×#41	C₂²×D₄	1	4	yes	—
646	C₂²×#41	C₂²×D₄	1	4	yes	—
647	C₂²×#41	C₂²×D₄	1	4	yes	—
648	C₂²×#41	C₂²×D₄	1	2	yes	—
649	C₂²×#41	C₂²×D₄	1	2	yes	—
650	C₂²×#41	C₂²×D₄	1	4	yes	—
651	C₂²×#41	C₂²×D₄	1	2	yes	—
652	C₂²×#41	C₂²×D₄	1	2	yes	—
653	C₂²×#41	C₂²×D₄	1	2	yes	—
654	C₂²×#41	C₂²×D₄	1	2	yes	—
655	C₂²×#41	C₂²×D₄	1	4	yes	—
656	C₂²×#41	C₂²×D₄	1	4	yes	—
657	C₂²×#41	C₂²×D₄	1	4	yes	—
658	C₂²×#41	C₂²×D₄	1	4	yes	—
659	C₂²×#41	C₂²×D₄	1	2	yes	—
660	C₂²×#41	C₂²×D₄	1	2	yes	—
661	C₂²×#41	C₂²×D₄	1	2	yes	—
662	C₂²×#41	C₂²×D₄	1	2	yes	—
663	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
664	C₂³×Q₈	C₂²×D₄	1	2	yes	—
665	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
666	C₂³×Q₈	C₂²×D₄	1	2	yes	—
667	C₂³×Q₈	C₂²×D₄	1	2	yes	—
668	C₂³×Q₈	C₂²×D₄	1	1	yes	characteristic
669	C₂³×Q₈	C₂²×D₄	1	2	yes	—
670	C₂³×Q₈	C₂²×D₄	1	2	yes	—
671	C₂³×Q₈	C₂²×D₄	1	4	yes	—
672	C₂³×Q₈	C₂²×D₄	1	2	yes	—
673	C₂³×Q₈	C₂⁵	1	2	yes	—
674	C₂³×D₄	#121	1	1	yes	characteristic
675	C₂³×D₄	#121	1	1	yes	characteristic
676	C₂³×D₄	#121	1	1	yes	characteristic
677	C₂³×D₄	#121	1	1	yes	characteristic
678	C₂³×D₄	#121	1	1	yes	characteristic
679	C₂³×D₄	#121	1	1	yes	characteristic
680	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
681	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
682	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
683	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
684	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
685	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
686	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
687	C₂³×D₄	C₂²×D₄	1	2	yes	—
688	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
689	C₂³×D₄	C₂²×D₄	1	2	yes	—
690	C₂³×D₄	C₂²×D₄	1	2	yes	—
691	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
692	C₂³×D₄	C₂²×D₄	1	2	yes	—
693	C₂³×D₄	C₂²×D₄	1	2	yes	—
694	C₂³×D₄	C₂²×D₄	1	4	yes	—
695	C₂³×D₄	C₂²×D₄	1	2	yes	—
696	C₂³×D₄	C₂⁵	1	4	yes	—
697	C₂³×D₄	C₂⁵	1	2	yes	—
698	C₂⁴×C₄	#121	1	1	yes	characteristic
699	C₂⁴×C₄	#121	1	1	yes	characteristic
700	C₂⁴×C₄	#121	1	1	yes	characteristic
701	C₂⁴×C₄	#121	1	1	yes	characteristic
702	C₂⁴×C₄	#121	1	1	yes	characteristic
703	C₂⁴×C₄	#121	1	1	yes	characteristic
704	C₂⁴×C₄	#121	1	1	yes	characteristic
705	C₂⁴×C₄	#121	1	1	yes	characteristic
706	C₂⁴×C₄	#121	1	1	yes	characteristic
707	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
708	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
709	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
710	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
711	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
712	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
713	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
714	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
715	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
716	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
717	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
718	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
719	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
720	C₂⁴×C₄	C₂²×D₄	1	2	yes	—
721	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
722	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
723	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
724	C₂⁴×C₄	C₂×#41	1	1	yes	characteristic
725	C₂⁴×C₄	C₂×#41	1	1	yes	characteristic
726	C₂⁴×C₄	C₂×#41	1	1	yes	characteristic
727	C₂⁴×C₄	C₂×#41	1	1	yes	characteristic
728	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
729	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
730	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
731	C₂⁴×C₄	H(5,𝔽₂)	1	2	yes	—
732	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
733	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
734	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
735	C₂²×Q₁₆	C₂²×D₄	1	8	yes	complemented
736	C₂²×Q₁₆	C₂²×D₄	1	8	yes	complemented
737	C₂²×SD₁₆	C₂²×D₄	1	8	yes	complemented
738	C₂²×SD₁₆	C₂²×D₄	1	8	yes	complemented
739	C₂²×SD₁₆	C₂²×D₄	1	8	yes	complemented
740	C₂²×SD₁₆	C₂²×D₄	1	8	yes	complemented
741	C₂²×D₈	C₂²×D₄	1	8	yes	complemented
742	C₂²×D₈	C₂²×D₄	1	8	yes	complemented
743	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
744	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
745	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
746	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
747	C₂³×C₈	C₂²×D₄	1	4	yes	—
748	C₂³×C₈	C₂²×D₄	1	4	yes	—
749	C₂³×C₈	C₂⁵	1	4	yes	—
750	C₂×C₄⋊Q₈	C₂²×D₄	1	2	yes	—
751	C₂×C₄⋊Q₈	C₂²×D₄	1	2	yes	—
752	C₂×#127	C₂²×D₄	1	2	yes	—
753	C₂×#127	C₂²×D₄	1	2	yes	—
754	C₂×#124	C₂²×D₄	1	2	yes	—
755	C₂×#124	C₂²×D₄	1	2	yes	—
756	C₂×#124	C₂²×D₄	1	2	yes	—
757	C₂×#124	C₂²×D₄	1	2	yes	—
758	C₂×C₂²⋊Q₈	C₂²×D₄	1	4	yes	—
759	C₂×C₂²⋊Q₈	C₂²×D₄	1	2	yes	—
760	C₂×C₂²⋊Q₈	C₂²×D₄	1	2	yes	—
761	C₂×C₂²⋊Q₈	C₂²×D₄	1	4	yes	—
762	C₂×C₂²⋊Q₈	C₂²×D₄	1	2	yes	—
763	C₂×C₂²⋊Q₈	C₂²×D₄	1	4	yes	—
764	C₂×C₂²⋊Q₈	C₂²×D₄	1	2	yes	—
765	C₂×C₂²⋊Q₈	C₂²×D₄	1	2	yes	—
766	C₂×C₂²⋊Q₈	C₂²×D₄	1	2	yes	—
767	C₂×C₂²⋊Q₈	C₂²×D₄	1	2	yes	—
768	C₂×C₂²⋊Q₈	C₂⁵	1	2	yes	—
769	C₂×C₂²⋊Q₈	C₂⁵	1	4	yes	—
770	C₂×#121	C₂²×D₄	1	4	yes	—
771	C₂×#121	C₂²×D₄	1	2	yes	—
772	C₂×#121	C₂²×D₄	1	2	yes	—
773	C₂×#121	C₂²×D₄	1	4	yes	—
774	C₂×#121	C₂²×D₄	1	2	yes	—
775	C₂×#121	C₂²×D₄	1	4	yes	—
776	C₂×#121	C₂²×D₄	1	2	yes	—
777	C₂×#121	C₂²×D₄	1	2	yes	—
778	C₂×#121	C₂²×D₄	1	2	yes	—
779	C₂×#121	C₂²×D₄	1	2	yes	—
780	C₂×#121	C₂⁵	1	2	yes	—
781	C₂×#121	C₂⁵	1	4	yes	—
782	C₂×C₄×Q₈	C₂²×D₄	1	2	yes	—
783	C₂×C₄×Q₈	C₂²×D₄	1	2	yes	—
784	C₂×C₄×Q₈	C₂²×D₄	1	2	yes	—
785	C₂×C₄×Q₈	C₂²×D₄	1	2	yes	—
786	C₂×C₄×D₄	#121	1	1	yes	characteristic
787	C₂×C₄×D₄	#121	1	1	yes	characteristic
788	C₂×C₄×D₄	#121	1	1	yes	characteristic
789	C₂×C₄×D₄	#121	1	1	yes	characteristic
790	C₂×C₄×D₄	#121	1	1	yes	characteristic
791	C₂×C₄×D₄	#121	1	1	yes	characteristic
792	C₂×C₄×D₄	#121	1	1	yes	characteristic
793	C₂×C₄×D₄	#121	1	1	yes	characteristic
794	C₂×C₄×D₄	#121	1	1	yes	characteristic
795	C₂×C₄×D₄	#121	1	1	yes	characteristic
796	C₂×C₄×D₄	#121	1	1	yes	characteristic
797	C₂×C₄×D₄	#121	1	1	yes	characteristic
798	C₂×C₄×D₄	#121	1	1	yes	characteristic
799	C₂×C₄×D₄	#121	1	1	yes	characteristic
800	C₂×C₄×D₄	#121	1	1	yes	characteristic
801	C₂×C₄×D₄	#121	1	1	yes	characteristic
802	C₂×C₄×D₄	#121	1	1	yes	characteristic
803	C₂×C₄×D₄	#121	1	1	yes	characteristic
804	C₂×C₄×D₄	#121	1	1	yes	characteristic
805	C₂×C₄×D₄	#121	1	1	yes	characteristic
806	C₂×C₄×D₄	#121	1	1	yes	characteristic
807	C₂×C₄×D₄	#121	1	1	yes	characteristic
808	C₂×C₄×D₄	#121	1	1	yes	characteristic
809	C₂×C₄×D₄	#121	1	1	yes	characteristic
810	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
811	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
812	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
813	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
814	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
815	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
816	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
817	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
818	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
819	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
820	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
821	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
822	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
823	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
824	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
825	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
826	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
827	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
828	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
829	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
830	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
831	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
832	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
833	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
834	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
835	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
836	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
837	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
838	C₂×C₄×D₄	C₂×#41	1	1	yes	characteristic
839	C₂×C₄×D₄	C₂×#41	1	1	yes	characteristic
840	C₂×C₄×D₄	C₂×#41	1	1	yes	characteristic
841	C₂×C₄×D₄	C₂×#41	1	1	yes	characteristic
842	C₂×C₄×D₄	C₂×#41	1	1	yes	characteristic
843	C₂×C₄×D₄	C₂×#41	1	1	yes	characteristic
844	C₂×C₄×D₄	C₂×#41	1	1	yes	characteristic
845	C₂×C₄×D₄	C₂×#41	1	1	yes	characteristic
846	C₂×C₄×D₄	C₂×#41	1	1	yes	characteristic
847	C₂×C₄×D₄	C₂×#41	1	1	yes	characteristic
848	C₂×C₄×D₄	C₂×#41	1	1	yes	characteristic
849	C₂×C₄×D₄	C₂×#41	1	1	yes	characteristic
850	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
851	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
852	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
853	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
854	C₂×#117	C₂²×D₄	1	4	yes	—
855	C₂×#117	C₂²×D₄	1	4	yes	—
856	C₂×#117	C₂²×D₄	1	2	yes	—
857	C₂×#117	C₂²×D₄	1	2	yes	—
858	C₂²×C₄⋊C₄	#121	1	1	yes	characteristic
859	C₂²×C₄⋊C₄	#121	1	1	yes	characteristic
860	C₂²×C₄⋊C₄	#121	1	1	yes	characteristic
861	C₂²×C₄⋊C₄	#121	1	1	yes	characteristic
862	C₂²×C₄⋊C₄	#121	1	1	yes	characteristic
863	C₂²×C₄⋊C₄	#121	1	1	yes	characteristic
864	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
865	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
866	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
867	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
868	C₂²×C₄⋊C₄	C₂×#41	1	1	yes	characteristic
869	C₂²×C₄⋊C₄	C₂×#41	1	1	yes	characteristic
870	C₂²×C₄⋊C₄	C₂×#41	1	1	yes	characteristic
871	C₂²×C₄⋊C₄	C₂×#41	1	1	yes	characteristic
872	C₂²×C₄⋊C₄	C₂×#41	1	1	yes	characteristic
873	C₂²×C₄⋊C₄	C₂×#41	1	1	yes	characteristic
874	C₂²×C₂²⋊C₄	#121	1	1	yes	characteristic
875	C₂²×C₂²⋊C₄	#121	1	1	yes	characteristic
876	C₂²×C₂²⋊C₄	#121	1	1	yes	characteristic
877	C₂²×C₂²⋊C₄	#121	1	1	yes	characteristic
878	C₂²×C₂²⋊C₄	#121	1	1	yes	characteristic
879	C₂²×C₂²⋊C₄	#121	1	1	yes	characteristic
880	C₂²×C₂²⋊C₄	#121	1	1	yes	characteristic
881	C₂²×C₂²⋊C₄	#121	1	1	yes	characteristic
882	C₂²×C₂²⋊C₄	#121	1	1	yes	characteristic
883	C₂²×C₂²⋊C₄	#121	1	1	yes	characteristic
884	C₂²×C₂²⋊C₄	#121	1	1	yes	characteristic
885	C₂²×C₂²⋊C₄	#121	1	1	yes	characteristic
886	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
887	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
888	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
889	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
890	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
891	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
892	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
893	C₂²×C₂²⋊C₄	C₂×#41	1	1	yes	characteristic
894	C₂²×C₂²⋊C₄	C₂×#41	1	1	yes	characteristic
895	C₂²×C₂²⋊C₄	C₂×#41	1	1	yes	characteristic
896	C₂²×C₂²⋊C₄	C₂×#41	1	1	yes	characteristic
897	C₂²×C₂²⋊C₄	C₂×#41	1	1	yes	characteristic
898	C₂²×C₂²⋊C₄	C₂×#41	1	1	yes	characteristic
899	C₂²×C₄²	#121	1	1	yes	characteristic
900	C₂²×C₄²	#121	1	1	yes	characteristic
901	C₂²×C₄²	#121	1	1	yes	characteristic
902	C₂²×C₄²	#121	1	1	yes	characteristic
903	C₂²×C₄²	#121	1	1	yes	characteristic
904	C₂²×C₄²	#121	1	1	yes	characteristic
905	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
906	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
907	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
908	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
909	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
910	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
911	C₂×#103	C₂²×D₄	1	8	yes	complemented
912	C₂×#103	C₂²×D₄	1	8	yes	complemented
913	C₂×#103	C₂²×D₄	1	8	yes	complemented
914	C₂×#103	C₂²×D₄	1	8	yes	complemented
915	C₂×#102	C₂²×D₄	1	8	yes	complemented
916	C₂×#102	C₂²×D₄	1	8	yes	complemented
917	C₂×#102	C₂²×D₄	1	8	yes	complemented
918	C₂×#102	C₂²×D₄	1	8	yes	complemented
919	C₂×#99	C₂²×D₄	1	8	yes	—
920	C₂×#99	C₂²×D₄	1	8	yes	—
921	C₂×#99	C₂²×D₄	1	8	yes	—
922	C₂×#99	C₂²×D₄	1	8	yes	—
923	C₂×C₂²⋊C₈	C₂²×D₄	1	8	yes	—
924	C₂×C₂²⋊C₈	C₂²×D₄	1	8	yes	—
925	C₂×C₂²⋊C₈	C₂²×D₄	1	8	yes	—
926	C₂×C₂²⋊C₈	C₂⁵	1	4	yes	—
927	C₂×C₂²⋊C₈	C₂⁵	1	8	yes	—
928	#380	C₂²×D₄	1	8	yes	—
929	#380	C₂²×D₄	1	8	yes	—
930	#380	C₂⁵	1	8	yes	—
931	#380	C₂⁵	1	4	yes	—
932	#379	C₂²×D₄	1	8	yes	—
933	#379	C₂²×D₄	1	8	yes	—
934	C₄×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
935	C₄×C₂²⋊C₄	C₂⁵	1	8	yes	—
936	#342	C₂²×D₄	1	8	yes	—
937	#342	C₂²×D₄	1	8	yes	—
938	#342	C₂²×D₄	1	8	yes	—
939	#342	C₂²×D₄	1	8	yes	—
940	C₂⁵	C₂×#121	1	1	yes	characteristic
941	C₂⁵	C₂×#121	1	1	yes	characteristic
942	C₂⁵	C₂×#121	1	1	yes	characteristic
943	C₂⁵	C₂×#121	1	1	yes	characteristic
944	C₂⁵	C₂×#121	1	1	yes	characteristic
945	C₂⁵	C₂×#121	1	1	yes	characteristic
946	C₂⁵	C₂×#121	1	1	yes	characteristic
947	C₂⁵	C₂×#121	1	1	yes	characteristic
948	C₂⁵	C₂×#121	1	1	yes	characteristic
949	C₂⁵	C₂×#121	1	1	yes	characteristic
950	C₂⁵	D₄²	1	2	yes	—
951	C₂⁵	D₄²	1	2	yes	—
952	C₂⁵	D₄²	1	2	yes	—
953	C₂⁵	D₄²	1	2	yes	—
954	C₂⁵	C₂³×D₄	1	1	yes	characteristic
955	C₂⁵	C₂³×D₄	1	1	yes	characteristic
956	C₂⁵	C₂³×D₄	1	1	yes	characteristic
957	C₂×#41	B(4,𝔽₂)	1	8	yes	complemented
958	C₂×#41	C₂×#120	1	2	yes	—
959	C₂×#41	C₂×#120	1	2	yes	—
960	C₂×#41	C₂×#120	1	4	yes	—
961	C₂×#41	C₂×#120	1	4	yes	—
962	C₂×#41	C₂×#120	1	2	yes	—
963	C₂×#41	C₂×#120	1	2	yes	—
964	C₂×#41	C₂×#120	1	2	yes	—
965	C₂×#41	C₂×#120	1	2	yes	—
966	C₂×#41	C₂×#120	1	4	yes	—
967	C₂×#41	C₂×#120	1	4	yes	—
968	C₂×#41	C₂×#120	1	4	yes	—
969	C₂×#41	C₂×#120	1	4	yes	—
970	C₂×#41	C₂×#120	1	2	yes	—
971	C₂×#41	C₂×#120	1	2	yes	—
972	C₂×#41	C₂×#120	1	4	yes	—
973	C₂×#41	C₂×#120	1	4	yes	—
974	C₂×#41	C₂×#120	1	4	yes	—
975	C₂×#41	C₂×#120	1	4	yes	—
976	C₂×#41	C₂×#120	1	4	yes	—
977	C₂×#41	C₂×#120	1	4	yes	—
978	C₂²×Q₈	C₂×#120	1	1	yes	characteristic
979	C₂²×Q₈	C₂×#120	1	2	yes	—
980	C₂²×Q₈	C₂×#120	1	2	yes	—
981	C₂²×Q₈	C₂×#120	1	4	yes	—
982	C₂²×Q₈	C₂×#120	1	1	yes	characteristic
983	C₂²×Q₈	C₂×#120	1	2	yes	—
984	C₂²×Q₈	C₂×#120	1	4	yes	—
985	C₂²×Q₈	C₂³×D₄	1	4	yes	—
986	C₂²×Q₈	C₂³×D₄	1	2	yes	—
987	C₂²×Q₈	C₂³×D₄	1	4	yes	—
988	C₂²×Q₈	C₂³×D₄	1	2	yes	—
989	C₂²×Q₈	C₂³×D₄	1	2	yes	—
990	C₂²×Q₈	C₂³×D₄	1	4	yes	—
991	C₂²×D₄	C₂×#120	1	1	yes	characteristic
992	C₂²×D₄	C₂×#120	1	2	yes	—
993	C₂²×D₄	C₂×#120	1	2	yes	—
994	C₂²×D₄	C₂×#120	1	4	yes	—
995	C₂²×D₄	C₂×#120	1	1	yes	characteristic
996	C₂²×D₄	C₂×#120	1	2	yes	—
997	C₂²×D₄	C₂×#120	1	4	yes	—
998	C₂²×D₄	C₂×#121	1	1	yes	characteristic
999	C₂²×D₄	C₂×#121	1	1	yes	characteristic
1000	C₂²×D₄	C₂×#121	1	1	yes	characteristic
1001	C₂²×D₄	C₂×#121	1	1	yes	characteristic
1002	C₂²×D₄	C₂×#121	1	1	yes	characteristic
1003	C₂²×D₄	C₂×#121	1	1	yes	characteristic
1004	C₂²×D₄	C₂×#121	1	1	yes	characteristic
1005	C₂²×D₄	C₂×#121	1	1	yes	characteristic
1006	C₂²×D₄	C₂×#121	1	1	yes	characteristic
1007	C₂²×D₄	C₂×#121	1	1	yes	characteristic
1008	C₂²×D₄	C₂×#121	1	1	yes	characteristic
1009	C₂²×D₄	C₂×#121	1	1	yes	characteristic
1010	C₂²×D₄	C₂³×D₄	1	4	yes	—
1011	C₂²×D₄	C₂³×D₄	1	2	yes	—
1012	C₂²×D₄	C₂³×D₄	1	2	yes	—
1013	C₂²×D₄	C₂³×D₄	1	4	yes	—
1014	C₂²×D₄	C₂³×D₄	1	2	yes	—
1015	C₂²×D₄	C₂³×D₄	1	4	yes	—
1016	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1017	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1018	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1019	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1020	C₂³×C₄	C₂×#120	1	2	yes	—
1021	C₂³×C₄	C₂×#120	1	2	yes	—
1022	C₂³×C₄	C₂×#120	1	2	yes	—
1023	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1024	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1025	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1026	C₂³×C₄	C₂×#120	1	2	yes	—
1027	C₂³×C₄	C₂×#120	1	2	yes	—
1028	C₂³×C₄	C₂×#120	1	2	yes	—
1029	C₂³×C₄	C₂×#120	1	1	yes	characteristic
1030	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1031	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1032	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1033	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1034	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1035	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1036	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1037	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1038	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1039	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1040	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1041	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1042	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1043	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1044	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1045	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1046	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1047	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1048	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1049	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1050	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1051	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1052	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1053	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1054	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1055	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1056	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1057	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1058	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1059	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1060	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1061	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1062	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1063	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1064	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1065	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1066	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1067	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1068	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1069	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1070	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1071	C₂³×C₄	C₂×#121	1	1	yes	characteristic
1072	C₂³×C₄	#534	1	1	yes	characteristic
1073	C₂³×C₄	#534	1	1	yes	characteristic
1074	C₂³×C₄	#534	1	1	yes	characteristic
1075	C₂³×C₄	#534	1	1	yes	characteristic
1076	C₂³×C₄	#534	1	2	yes	—
1077	C₂³×C₄	#534	1	2	yes	—
1078	C₂³×C₄	#534	1	2	yes	—
1079	C₂³×C₄	#534	1	2	yes	—
1080	C₂³×C₄	#534	1	2	yes	—
1081	C₂³×C₄	#534	1	2	yes	—
1082	C₂³×C₄	D₄²	1	2	yes	—
1083	C₂³×C₄	D₄²	1	2	yes	—
1084	C₂³×C₄	D₄²	1	2	yes	—
1085	C₂³×C₄	D₄²	1	2	yes	—
1086	C₂³×C₄	D₄²	1	2	yes	—
1087	C₂³×C₄	D₄²	1	2	yes	—
1088	C₂³×C₄	D₄²	1	2	yes	—
1089	C₂³×C₄	D₄²	1	2	yes	—
1090	C₂³×C₄	D₄²	1	2	yes	—
1091	C₂³×C₄	D₄²	1	2	yes	—
1092	C₂³×C₄	D₄²	1	2	yes	—
1093	C₂³×C₄	D₄²	1	2	yes	—
1094	C₂³×C₄	#546	1	2	yes	—
1095	C₂³×C₄	#546	1	2	yes	—
1096	C₂³×C₄	#546	1	2	yes	—
1097	C₂³×C₄	#546	1	2	yes	—
1098	C₂³×C₄	#546	1	2	yes	—
1099	C₂³×C₄	#546	1	2	yes	—
1100	C₂³×C₄	#546	1	2	yes	—
1101	C₂³×C₄	#546	1	2	yes	—
1102	C₂³×C₄	#546	1	2	yes	—
1103	C₂³×C₄	#546	1	2	yes	—
1104	C₂³×C₄	#546	1	2	yes	—
1105	C₂³×C₄	#546	1	2	yes	—
1106	C₂³×C₄	#546	1	2	yes	—
1107	C₂³×C₄	#546	1	2	yes	—
1108	C₂³×C₄	#546	1	2	yes	—
1109	C₂³×C₄	#546	1	2	yes	—
1110	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1111	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1112	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1113	C₂³×C₄	C₂³×D₄	1	2	yes	—
1114	C₂³×C₄	C₂³×D₄	1	2	yes	—
1115	C₂³×C₄	C₂³×D₄	1	2	yes	—
1116	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1117	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1118	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1119	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1120	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1121	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1122	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1123	C₂³×C₄	C₂³×D₄	1	2	yes	—
1124	C₂³×C₄	C₂³×D₄	1	2	yes	—
1125	C₂³×C₄	C₂³×D₄	1	2	yes	—
1126	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1127	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1128	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1129	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
1130	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
1131	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
1132	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
1133	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
1134	C₂³×C₄	C₂²×#41	1	1	yes	characteristic
1135	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1136	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1137	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1138	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1139	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1140	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1141	C₂³×C₄	C₂⁶	1	1	yes	characteristic
1142	C₂²×C₈	C₂³×D₄	1	8	yes	—
1143	C₂²×C₈	C₂³×D₄	1	8	yes	—
1144	C₂×C₄⋊C₄	C₂×#121	1	1	yes	characteristic
1145	C₂×C₄⋊C₄	C₂×#121	1	1	yes	characteristic
1146	C₂×C₄⋊C₄	C₂×#121	1	1	yes	characteristic
1147	C₂×C₄⋊C₄	C₂×#121	1	1	yes	characteristic
1148	C₂×C₄⋊C₄	C₂×#121	1	1	yes	characteristic
1149	C₂×C₄⋊C₄	C₂×#121	1	1	yes	characteristic
1150	C₂×C₄⋊C₄	C₂×#121	1	1	yes	characteristic
1151	C₂×C₄⋊C₄	C₂×#121	1	1	yes	characteristic
1152	C₂×C₄⋊C₄	C₂×#121	1	1	yes	characteristic
1153	C₂×C₄⋊C₄	C₂×#121	1	1	yes	characteristic
1154	C₂×C₄⋊C₄	C₂×#121	1	1	yes	characteristic
1155	C₂×C₄⋊C₄	C₂×#121	1	1	yes	characteristic
1156	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1157	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1158	C₂×C₄⋊C₄	C₂³×D₄	1	4	yes	—
1159	C₂×C₄⋊C₄	C₂³×D₄	1	4	yes	—
1160	C₂×C₄⋊C₄	C₂²×#41	1	1	yes	characteristic
1161	C₂×C₄⋊C₄	C₂²×#41	1	1	yes	characteristic
1162	C₂×C₄⋊C₄	C₂²×#41	1	1	yes	characteristic
1163	C₂×C₄⋊C₄	C₂²×#41	1	1	yes	characteristic
1164	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1165	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1166	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1167	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1168	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1169	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1170	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1171	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1172	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1173	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1174	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1175	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1176	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1177	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1178	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1179	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1180	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1181	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1182	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1183	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1184	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1185	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1186	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1187	C₂×C₂²⋊C₄	C₂×#121	1	1	yes	characteristic
1188	C₂×C₂²⋊C₄	C₂³×D₄	1	16	yes	—
1189	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1190	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1191	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1192	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1193	C₂×C₂²⋊C₄	C₂²×#41	1	1	yes	characteristic
1194	C₂×C₂²⋊C₄	C₂²×#41	1	1	yes	characteristic
1195	C₂×C₂²⋊C₄	C₂²×#41	1	1	yes	characteristic
1196	C₂×C₂²⋊C₄	C₂²×#41	1	1	yes	characteristic
1197	C₂×C₄²	C₂×#121	1	1	yes	characteristic
1198	C₂×C₄²	C₂×#121	1	1	yes	characteristic
1199	C₂×C₄²	C₂×#121	1	1	yes	characteristic
1200	C₂×C₄²	C₂×#121	1	1	yes	characteristic
1201	C₂×C₄²	C₂×#121	1	1	yes	characteristic
1202	C₂×C₄²	C₂×#121	1	1	yes	characteristic
1203	C₂×C₄²	C₂×#121	1	1	yes	characteristic
1204	C₂×C₄²	C₂×#121	1	1	yes	characteristic
1205	C₂×C₄²	C₂×#121	1	1	yes	characteristic
1206	C₂×C₄²	C₂×#121	1	1	yes	characteristic
1207	C₂×C₄²	C₂×#121	1	1	yes	characteristic
1208	C₂×C₄²	C₂×#121	1	1	yes	characteristic
1209	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1210	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1211	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1212	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1213	C₂⁴	#2410	1	1	yes	characteristic
1214	C₂⁴	#2410	1	1	yes	characteristic
1215	C₂⁴	#2410	1	2	yes	—
1216	C₂⁴	#2410	1	2	yes	—
1217	C₂⁴	#2410	1	2	yes	—
1218	C₂⁴	#2410	1	2	yes	—
1219	C₂⁴	#2410	1	1	yes	characteristic
1220	C₂⁴	#2410	1	2	yes	—
1221	C₂⁴	#2410	1	2	yes	—
1222	C₂⁴	#2410	1	1	yes	characteristic
1223	C₂⁴	C₂²×#121	1	1	yes	characteristic
1224	C₂⁴	C₂²×#121	1	1	yes	characteristic
1225	C₂⁴	C₂²×#121	1	1	yes	characteristic
1226	C₂⁴	C₂²×#121	1	1	yes	characteristic
1227	C₂⁴	C₂²×#121	1	1	yes	characteristic
1228	C₂⁴	C₂²×#121	1	1	yes	characteristic
1229	C₂⁴	C₂²×#121	1	1	yes	characteristic
1230	C₂⁴	C₂²×#121	1	1	yes	characteristic
1231	C₂⁴	C₂²×#121	1	1	yes	characteristic
1232	C₂⁴	C₂²×#121	1	1	yes	characteristic
1233	C₂⁴	C₂×D₄²	1	2	yes	—
1234	C₂⁴	C₂×D₄²	1	2	yes	—
1235	C₂⁴	C₂×D₄²	1	2	yes	—
1236	C₂⁴	C₂×D₄²	1	2	yes	—
1237	C₂⁴	C₂×D₄²	1	2	yes	—
1238	C₂⁴	C₂×D₄²	1	2	yes	—
1239	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1240	#41	C₂×B(4,𝔽₂)	1	8	yes	—
1241	#41	C₂×B(4,𝔽₂)	1	8	yes	complemented
1242	C₂×Q₈	C₂×B(4,𝔽₂)	1	4	yes	complemented
1243	C₂×Q₈	C₂²×#120	1	2	yes	—
1244	C₂×Q₈	C₂²×#120	1	4	yes	—
1245	C₂×Q₈	C₂²×#120	1	2	yes	—
1246	C₂×D₄	C₂×B(4,𝔽₂)	1	4	yes	complemented
1247	C₂×D₄	C₂²×#120	1	2	yes	—
1248	C₂×D₄	C₂²×#120	1	4	yes	—
1249	C₂×D₄	C₂²×#120	1	2	yes	—
1250	C₂×D₄	#3585	1	4	yes	—
1251	C₂²×C₄	#2410	1	1	yes	characteristic
1252	C₂²×C₄	#2410	1	1	yes	characteristic
1253	C₂²×C₄	#2410	1	1	yes	characteristic
1254	C₂²×C₄	#2410	1	1	yes	characteristic
1255	C₂²×C₄	#2410	1	1	yes	characteristic
1256	C₂²×C₄	#2410	1	1	yes	characteristic
1257	C₂²×C₄	#2410	1	1	yes	characteristic
1258	C₂²×C₄	#2410	1	1	yes	characteristic
1259	C₂²×C₄	#2410	1	1	yes	characteristic
1260	C₂²×C₄	#2410	1	2	yes	—
1261	C₂²×C₄	#2410	1	2	yes	—
1262	C₂²×C₄	#2410	1	2	yes	—
1263	C₂²×C₄	#2410	1	2	yes	—
1264	C₂²×C₄	#2410	1	2	yes	—
1265	C₂²×C₄	#2410	1	2	yes	—
1266	C₂²×C₄	#2410	1	2	yes	—
1267	C₂²×C₄	#2410	1	2	yes	—
1268	C₂²×C₄	#2410	1	2	yes	—
1269	C₂²×C₄	#2410	1	2	yes	—
1270	C₂²×C₄	#2410	1	2	yes	—
1271	C₂²×C₄	#2410	1	2	yes	—
1272	C₂²×C₄	#2410	1	2	yes	—
1273	C₂²×C₄	#2410	1	2	yes	—
1274	C₂²×C₄	#2410	1	2	yes	—
1275	C₂²×C₄	#2410	1	2	yes	—
1276	C₂²×C₄	#2410	1	2	yes	—
1277	C₂²×C₄	#2410	1	2	yes	—
1278	C₂²×C₄	#2410	1	1	yes	characteristic
1279	C₂²×C₄	#2410	1	1	yes	characteristic
1280	C₂²×C₄	#2410	1	1	yes	characteristic
1281	C₂²×C₄	C₂×B(4,𝔽₂)	1	4	yes	—
1282	C₂²×C₄	#3026	1	4	yes	—
1283	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1284	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1285	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1286	C₂²×C₄	C₂²×#120	1	2	yes	—
1287	C₂²×C₄	C₂²×#120	1	2	yes	—
1288	C₂²×C₄	C₂²×#120	1	2	yes	—
1289	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1290	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1291	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1292	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
1293	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
1294	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
1295	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
1296	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
1297	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
1298	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
1299	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
1300	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
1301	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
1302	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
1303	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
1304	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
1305	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
1306	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
1307	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
1308	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
1309	C₂²×C₄	C₂²×#121	1	1	yes	characteristic
1310	C₂²×C₄	C₂×#534	1	1	yes	characteristic
1311	C₂²×C₄	C₂×#534	1	1	yes	characteristic
1312	C₂²×C₄	C₂×#534	1	1	yes	characteristic
1313	C₂²×C₄	C₂×#534	1	1	yes	characteristic
1314	C₂²×C₄	C₂×#534	1	1	yes	characteristic
1315	C₂²×C₄	C₂×#534	1	1	yes	characteristic
1316	C₂²×C₄	C₂×#534	1	2	yes	—
1317	C₂²×C₄	C₂×#534	1	2	yes	—
1318	C₂²×C₄	C₂×#534	1	2	yes	—
1319	C₂²×C₄	C₂×D₄²	1	2	yes	—
1320	C₂²×C₄	C₂×D₄²	1	2	yes	—
1321	C₂²×C₄	C₂×D₄²	1	2	yes	—
1322	C₂²×C₄	C₂×D₄²	1	2	yes	—
1323	C₂²×C₄	C₂×D₄²	1	2	yes	—
1324	C₂²×C₄	C₂×D₄²	1	2	yes	—
1325	C₂²×C₄	C₂×#546	1	2	yes	—
1326	C₂²×C₄	C₂×#546	1	2	yes	—
1327	C₂²×C₄	C₂×#546	1	2	yes	—
1328	C₂²×C₄	C₂×#546	1	2	yes	—
1329	C₂²×C₄	C₂×#546	1	2	yes	—
1330	C₂²×C₄	C₂×#546	1	2	yes	—
1331	C₂²×C₄	C₂×#546	1	2	yes	—
1332	C₂²×C₄	C₂×#546	1	2	yes	—
1333	C₂²×C₄	C₂×#546	1	2	yes	—
1334	C₂²×C₄	C₂×#546	1	2	yes	—
1335	C₂²×C₄	C₂×#546	1	2	yes	—
1336	C₂²×C₄	C₂×#546	1	2	yes	—
1337	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1338	C₂²×C₄	C₂⁴×D₄	1	2	yes	—
1339	C₂²×C₄	C₂³×#41	1	1	yes	characteristic
1340	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
1341	C₂³	#24404	1	4	yes	—
1342	C₂³	C₂×#2410	1	2	yes	—
1343	C₂³	C₂×#2410	1	2	yes	—
1344	C₂³	C₂×#2410	1	2	yes	—
1345	C₂³	C₂×#2410	1	1	yes	characteristic
1346	C₂³	C₂×#2410	1	1	yes	characteristic
1347	C₂³	C₂×#2410	1	1	yes	characteristic
1348	C₂³	C₂×#2410	1	1	yes	characteristic
1349	C₂³	C₂×#2410	1	1	yes	characteristic
1350	C₂³	C₂×#2410	1	1	yes	characteristic
1351	C₂³	#60426	1	2	yes	complemented
1352	C₂³	C₂³×#121	1	1	yes	characteristic
1353	C₂³	C₂²×D₄²	1	2	yes	—
1354	C₂³	C₂×#3585	1	2	yes	—
1355	C₂³	#63090	1	2	yes	—
1356	Q₈	C₂²×B(4,𝔽₂)	1	4	yes	—
1357	D₄	C₂²×B(4,𝔽₂)	1	4	yes	—
1358	C₂×C₄	#24404	1	4	yes	—
1359	C₂×C₄	#24404	1	4	yes	—
1360	C₂×C₄	#24404	1	4	yes	—
1361	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1362	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1363	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1364	C₂×C₄	C₂×#2410	1	2	yes	—
1365	C₂×C₄	C₂×#2410	1	2	yes	—
1366	C₂×C₄	C₂×#2410	1	2	yes	—
1367	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1368	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1369	C₂×C₄	C₂×#2410	1	1	yes	characteristic
1370	C₂×C₄	C₂²×B(4,𝔽₂)	1	2	yes	—
1371	C₂×C₄	C₂²×B(4,𝔽₂)	1	2	yes	—
1372	C₂×C₄	C₂²×B(4,𝔽₂)	1	2	yes	—
1373	C₂×C₄	C₂×#3026	1	2	yes	—
1374	C₂×C₄	C₂×#3026	1	2	yes	—
1375	C₂×C₄	C₂×#3026	1	2	yes	—
1376	C₂×C₄	#60426	1	2	yes	complemented
1377	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1378	C₂×C₄	C₂²×#534	1	1	yes	characteristic
1379	C₂×C₄	C₂²×#546	1	2	yes	—
1380	C₂²	C₂×#24404	1	2	yes	—
1381	C₂²	C₂×#24404	1	2	yes	—
1382	C₂²	C₂×#24404	1	2	yes	—
1383	C₂²	#6438015	1	2	yes	—
1384	C₂²	C₂²×#2410	1	1	yes	characteristic
1385	C₂²	C₂×#60426	1	1	yes	characteristic
1386	C₂²	#10574956	1	1	yes	characteristic
1387	C₂²	#10576112	1	4	yes	—
1388	C₄	C₂×#24404	1	2	yes	—
1389	C₄	C₂×#24404	1	2	yes	—
1390	C₄	C₂×#24404	1	2	yes	—
1391	C₄	C₂³×B(4,𝔽₂)	1	1	yes	characteristic
1392	C₄	C₂²×#3026	1	1	yes	characteristic
1393	C₂	C₂²×#24404	1	1	yes	characteristic
1394	C₂	#72249548	1	1	yes	characteristic
1395	C₂	C₂×#6438015	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂²×#2410
commutator, Frattini, cosocle	C₂³×C₄	C₂⁶
LCS	G ▷ C₂³×C₄ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂⁵×C₄ ◁ G
LECS	G ▷ C₂³×C₄ ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72339584	C₂	semidirect
2. #72339583	C₂	semidirect
3. #72339582	C₂	semidirect
4. #72339570	C₂	semidirect
5. #72339542	C₂	semidirect
6. #72339520	C₂	semidirect
7. #72339516	C₂	semidirect
8. #72339503	C₂	semidirect
9. #72339484	C₂	semidirect
10. #72316678	C₂	semidirect
11. #72313716	C₂	semidirect
12. #72313062	C₂	semidirect
13. #72310688	C₂	semidirect
14. #72310578	C₂	semidirect
15. #72306136	C₂	semidirect
16. C₂×#6437518	C₂	semidirect
17. #72249629	C₂	semidirect
18. C₂×#6491100	C₂	semidirect
19. #72238181	C₂	semidirect
20. C₂×#201386	C₂	semidirect
21. C₂⁴×AGL(1,ℤ/8)	C₂²	semidirect
24. #10577310	C₂²	semidirect
25. #10577309	C₂²	semidirect
26. #10577308	C₂²	semidirect
27. #10577304	C₂²	semidirect
28. #10577303	C₂²	semidirect
29. #10577302	C₂²	semidirect
30. #10577301	C₂²	semidirect
31. #10577179	C₂²	semidirect
32. #10577166	C₂²	semidirect
35. C₂²×#3003	C₂²	semidirect
37. C₂×#35222	C₂²	semidirect
39. #7625442	C₂²	semidirect
41. #6491100	C₂²	semidirect
42. #6491100	C₂²	semidirect
43. #6491100	C₂²	semidirect
44. C₂×#25585	C₂²	semidirect
45. C₂×#25947	C₂²	semidirect
46. C₂×#25771	C₂²	semidirect
47. #6437698	C₂²	semidirect
48. #6437685	C₂²	semidirect
49. #6437684	C₂²	semidirect
50. #6437668	C₂²	semidirect
51. #6437664	C₂²	semidirect
53. #6437518	C₂²	semidirect
54. #6437518	C₂²	semidirect
55. #6437518	C₂²	semidirect
56. C₂×#23855	C₂²	semidirect
57. C₂×#23858	C₂²	semidirect
58. C₂×#23851	C₂²	semidirect
59. C₂×#23848	C₂²	semidirect
60. #6386368	C₂²	semidirect
61. #6386368	C₂²	semidirect
62. #6386291	C₂²	semidirect
63. #6386222	C₂²	semidirect
64. #6386107	C₂²	semidirect
65. #6385971	C₂²	semidirect
66. #41×#99	C₂²	semidirect
67. #41×#99	C₂²	semidirect
68. #6374576	C₂²	semidirect
69. C₂×#21874	C₂²	semidirect
70. #6371477	C₂²	semidirect
71. C₂×#20971	C₂²	semidirect
73. #6371257	C₂²	semidirect
76. C₂×#20601	C₂²	semidirect
77. C₂×#20598	C₂²	semidirect
78. #6343373	C₂²	semidirect
79. #267463	C₂²	semidirect
80. #267455	C₂²	semidirect
81. #267443	C₂²	semidirect
82. #267435	C₂²	semidirect
83. #267427	C₂²	semidirect
84. #267419	C₂²	semidirect
85. #267411	C₂²	semidirect
86. #267403	C₂²	semidirect
87. #267399	C₂²	semidirect
88. #267391	C₂²	semidirect
89. #267379	C₂²	semidirect
90. #267371	C₂²	semidirect
91. #239388	C₂²	semidirect
92. #239387	C₂²	semidirect
93. #239384	C₂²	semidirect
94. #239383	C₂²	semidirect
95. #239362	C₂²	semidirect
96. #235101	C₂²	semidirect
97. #235099	C₂²	semidirect
98. #235079	C₂²	semidirect
99. #235056	C₂²	semidirect
100. #235055	C₂²	semidirect
101. #201386	C₂²	semidirect
102. #201386	C₂²	semidirect
103. #201386	C₂²	semidirect
104. #201386	C₂²	semidirect
105. C₂×#9472	C₂²	semidirect
106. C₂×#9468	C₂²	semidirect
107. #198474	C₂²	semidirect
108. #198436	C₂²	semidirect
109. #198432	C₂²	semidirect
110. #198416	C₂²	semidirect
111. #198412	C₂²	semidirect
112. #192046	C₂²	semidirect
113. #192046	C₂²	semidirect
114. #192042	C₂²	semidirect
115. #192042	C₂²	semidirect
116. #192038	C₂²	semidirect
117. #192034	C₂²	semidirect
118. #185345	C₂²	semidirect
119. #185345	C₂²	semidirect
120. #185343	C₂²	semidirect
121. #185341	C₂²	semidirect
122. #185339	C₂²	semidirect
123. #185329	C₂²	semidirect
124. #185329	C₂²	semidirect
125. #181480	C₂²	semidirect
126. C₂×#7983	C₂²	semidirect
127. C₂⁴×#41	D₄	semidirect
130. C₂²×#575	D₄	semidirect
131. C₂²×#575	D₄	semidirect
133. C₂³×AGL(1,ℤ/8)	C₂³	semidirect
134. C₂⁴×SD₁₆	C₂³	semidirect
135. C₂⁴×D₈	C₂³	semidirect
144. C₂×D₄×#41	D₄	semidirect
145. C₂×D₄×#41	D₄	semidirect
146. C₂×D₄×#41	D₄	semidirect
147. C₂×D₄×#41	D₄	semidirect
152. C₂²×#550	D₄	semidirect
153. C₂²×#547	D₄	semidirect
154. C₂²×#548	D₄	semidirect
156. C₂²×#546	D₄	semidirect
160. C₂²×#532	D₄	semidirect
161. C₂²×#525	D₄	semidirect
164. C₂²×C₄×#41	D₄	semidirect
166. #61574	C₂³	semidirect
167. #61573	C₂³	semidirect
168. #61572	C₂³	semidirect
169. #61571	C₂³	semidirect
170. #61570	C₂³	semidirect
171. #61569	C₂³	semidirect
172. #61564	C₂³	semidirect
173. #61563	C₂³	semidirect
174. #61562	C₂³	semidirect
175. #61561	C₂³	semidirect
176. #61560	C₂³	semidirect
177. #61559	C₂³	semidirect
183. C₂×#3007	D₄	semidirect
185. C₂×#3006	D₄	semidirect
187. C₂×#3005	D₄	semidirect
188. C₂×#3005	D₄	semidirect
192. C₂×#3003	C₂³	semidirect
193. C₂×#3002	D₄	semidirect
195. C₂²×#450	C₂³	semidirect
196. C₂²×#447	C₂³	semidirect
203. C₂×#2896	D₄	semidirect
204. C₂×#2896	D₄	semidirect
208. #35222	C₂³	semidirect
209. C₂×#2435	C₂³	semidirect
210. C₂×#2433	C₂³	semidirect
217. #34175	C₂³	semidirect
218. #34173	C₂³	semidirect
219. #34171	C₂³	semidirect
225. #25947	C₂³	semidirect
227. #25771	C₂³	semidirect
229. #25585	C₂³	semidirect
230. #24357	C₂³	semidirect
231. #24356	C₂³	semidirect
232. #24355	C₂³	semidirect
233. #24354	C₂³	semidirect
235. #23858	C₂³	semidirect
237. #23855	C₂³	semidirect
239. #23851	C₂³	semidirect
241. #23848	C₂³	semidirect
242. #22534	C₂³	semidirect
243. #22534	C₂³	semidirect
244. Q₈×#99	C₂³	semidirect
245. Q₈×#99	C₂³	semidirect
246. #22476	C₂³	semidirect
247. #22476	C₂³	semidirect
248. D₄×#99	C₂³	semidirect
249. D₄×#99	C₂³	semidirect
251. #21874	C₂³	semidirect
252. #21874	C₂³	semidirect
253. #21825	C₂³	semidirect
254. #21793	C₂³	semidirect
256. C₂×#1996	C₂³	semidirect
257. C₂×#1964	C₂³	semidirect
258. #20973	C₂³	semidirect
259. #20972	C₂³	semidirect
261. #20971	C₂³	semidirect
262. #20971	C₂³	semidirect
264. C₂×#1893	C₂³	semidirect
265. C₂×#1892	C₂³	semidirect
272. #20837	C₂³	semidirect
273. #20836	C₂³	semidirect
274. #20834	C₂³	semidirect
293. #20601	C₂³	semidirect
294. #20598	C₂³	semidirect
295. #20598	C₂³	semidirect
296. C₂×#1787	C₂³	semidirect
297. C₂×#1786	C₂³	semidirect
298. C₂×#1786	C₂³	semidirect
302. #17592	C₂³	semidirect
303. #17578	C₂³	semidirect
304. #17577	C₂³	semidirect
306. #10566	C₂³	semidirect
307. #10565	C₂³	semidirect
308. #10565	C₂³	semidirect
309. #10564	C₂³	semidirect
310. #9955	C₂³	semidirect
311. #9954	C₂³	semidirect
312. #9947	C₂³	semidirect
313. #9946	C₂³	semidirect
314. #9472	C₂³	semidirect
315. #9472	C₂³	semidirect
317. #9468	C₂³	semidirect
318. #9262	C₂³	semidirect
319. #9259	C₂³	semidirect
320. #9258	C₂³	semidirect
321. #9255	C₂³	semidirect
322. #8852	C₂³	semidirect
323. #8852	C₂³	semidirect
324. #8851	C₂³	semidirect
325. #8851	C₂³	semidirect
326. #8352	C₂³	semidirect
327. #8352	C₂³	semidirect
328. #8351	C₂³	semidirect
329. #8351	C₂³	semidirect
330. #8350	C₂³	semidirect
331. #8350	C₂³	semidirect
332. #7983	C₂³	semidirect
333. #7983	C₂³	semidirect
334. C₂×#1289	C₂³	semidirect
335. #7929	C₂³	semidirect
336. #7927	C₂³	semidirect
337. #7925	C₂³	semidirect
354. C₂³×#41	C₂×D₄	semidirect
355. C₂³×#41	C₂×D₄	semidirect
356. C₂³×#41	C₂×D₄	semidirect
357. C₂³×#41	C₂×D₄	semidirect
360. C₂⁴×Q₈	C₂×D₄	semidirect
363. C₂⁴×D₄	C₂×D₄	semidirect
370. C₂²×#137	C₂×D₄	semidirect
371. C₂²×#137	C₂×D₄	semidirect
372. C₂²×#137	C₂×D₄	semidirect
373. C₂²×#137	C₂×D₄	semidirect
374. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
375. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
376. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
377. C₂²×AGL(1,ℤ/8)	C₂×D₄	semidirect
378. C₂²×#135	C₂×D₄	semidirect
379. C₂²×#135	C₂×D₄	semidirect
395. C₂×#550	C₂×D₄	semidirect
396. C₂×#550	C₂×D₄	semidirect
397. C₂×D₄×Q₈	C₂×D₄	semidirect
398. C₂×D₄×Q₈	C₂×D₄	semidirect
403. C₂×#548	C₂×D₄	semidirect
404. C₂×#548	C₂×D₄	semidirect
405. C₂×#548	C₂×D₄	semidirect
406. C₂×#548	C₂×D₄	semidirect
411. C₂×#547	C₂×D₄	semidirect
412. C₂×#547	C₂×D₄	semidirect
415. C₂×#546	C₂×D₄	semidirect
416. C₂×#546	C₂×D₄	semidirect
417. C₂×#546	C₂×D₄	semidirect
418. C₂×#546	C₂×D₄	semidirect
421. C₂×D₄²	C₂×D₄	semidirect
422. C₂×D₄²	C₂×D₄	semidirect
427. C₂×#532	C₂×D₄	semidirect
428. C₂×#532	C₂×D₄	semidirect
429. C₂²×C₄⋊Q₈	C₂×D₄	semidirect
430. C₂²×#127	C₂×D₄	semidirect
431. C₂²×#124	C₂×D₄	semidirect
432. C₂²×#124	C₂×D₄	semidirect
439. C₂×#525	C₂×D₄	semidirect
440. C₂×#525	C₂×D₄	semidirect
447. C₂²×C₂²⋊Q₈	C₂×D₄	semidirect
448. C₂²×C₂²⋊Q₈	C₂×D₄	semidirect
453. C₂²×#121	C₂×D₄	semidirect
454. C₂²×#121	C₂×D₄	semidirect
459. C₂×C₄×#41	C₂×D₄	semidirect
460. C₂×C₄×#41	C₂×D₄	semidirect
461. C₂²×C₄×Q₈	C₂×D₄	semidirect
462. C₂²×C₄×Q₈	C₂×D₄	semidirect
475. C₂²×C₄×D₄	C₂×D₄	semidirect
476. C₂²×C₄×D₄	C₂×D₄	semidirect
499. C₂×#452	C₂×D₄	semidirect
500. C₂×#452	C₂×D₄	semidirect
501. C₂×#452	C₂×D₄	semidirect
502. C₂×#452	C₂×D₄	semidirect
503. C₂×#449	C₂×D₄	semidirect
504. C₂×#449	C₂×D₄	semidirect
505. C₂×#449	C₂×D₄	semidirect
506. C₂×#449	C₂×D₄	semidirect
507. C₂×#451	C₂×D₄	semidirect
509. C₂×#448	C₂×D₄	semidirect
511. C₂×#450	C₂×D₄	semidirect
514. C₂×#447	C₂×D₄	semidirect
521. C₂×#417	C₂×D₄	semidirect
522. C₂×#417	C₂×D₄	semidirect
523. C₂×#417	C₂×D₄	semidirect
524. C₂×#417	C₂×D₄	semidirect
525. C₂×#419	C₂×D₄	semidirect
526. C₂×#419	C₂×D₄	semidirect
527. C₂×#418	C₂×D₄	semidirect
528. C₂×#418	C₂×D₄	semidirect
529. C₂×#416	C₂×D₄	semidirect
530. C₂×#416	C₂×D₄	semidirect
735. C₂²×Q₁₆	C₂²×D₄	semidirect
736. C₂²×Q₁₆	C₂²×D₄	semidirect
737. C₂²×SD₁₆	C₂²×D₄	semidirect
738. C₂²×SD₁₆	C₂²×D₄	semidirect
739. C₂²×SD₁₆	C₂²×D₄	semidirect
740. C₂²×SD₁₆	C₂²×D₄	semidirect
741. C₂²×D₈	C₂²×D₄	semidirect
742. C₂²×D₈	C₂²×D₄	semidirect
911. C₂×#103	C₂²×D₄	semidirect
912. C₂×#103	C₂²×D₄	semidirect
913. C₂×#103	C₂²×D₄	semidirect
914. C₂×#103	C₂²×D₄	semidirect
915. C₂×#102	C₂²×D₄	semidirect
916. C₂×#102	C₂²×D₄	semidirect
917. C₂×#102	C₂²×D₄	semidirect
918. C₂×#102	C₂²×D₄	semidirect
957. C₂×#41	B(4,𝔽₂)	semidirect
1241. #41	C₂×B(4,𝔽₂)	semidirect
1242. C₂×Q₈	C₂×B(4,𝔽₂)	semidirect
1246. C₂×D₄	C₂×B(4,𝔽₂)	semidirect
1351. C₂³	#60426	semidirect
1376. C₂×C₄	#60426	semidirect

Maximal subgroups

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

subgroup	index
#72339584	2
#72339583	2
#72339582	2
#72339570	2
#72339542	2
#72339520	2
#72339516	2
#72339503	2
#72339484	2
#72316678	2
#72313716	2
#72313062	2
#72310688	2
#72310578	2
#72306136	2
C₂×#6437518	2
#72249629	2
C₂×#6491100	2
#72238181	2
C₂×#201386	2