Subgroups — #72310585

Order 2048.

At least 15457 conjugacy classes of subgroups; only the 4444 normal subgroups are shown.

The subgroup lattice has 1470 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72310583	C₂	1	1	yes	maximal, characteristic, complemented
2	#72310582	C₂	1	1	yes	maximal, characteristic, complemented
3	#72310581	C₂	1	1	yes	maximal, characteristic, complemented
4	#72310580	C₂	1	1	yes	maximal, characteristic, complemented
5	#72310579	C₂	1	2	yes	maximal, complemented
6	#72310578	C₂	1	1	yes	maximal, characteristic, complemented
7	#72310577	C₂	1	2	yes	maximal, complemented
8	#72310576	C₂	1	1	yes	maximal, characteristic, complemented
9	#72310575	C₂	1	2	yes	maximal, complemented
10	#72310574	C₂	1	1	yes	maximal, characteristic, complemented
11	#72310573	C₂	1	1	yes	maximal, characteristic, complemented
12	#72310572	C₂	1	1	yes	maximal, characteristic, complemented
13	#72310571	C₂	1	2	yes	maximal, complemented
14	#72310570	C₂	1	1	yes	maximal, characteristic, complemented
15	#72310569	C₂	1	2	yes	maximal, complemented
16	#72310568	C₂	1	2	yes	maximal, complemented
17	#72310567	C₂	1	1	yes	maximal, characteristic, complemented
18	#72310545	C₂	1	2	yes	maximal, complemented
19	#72302221	C₂	1	1	yes	maximal, characteristic, complemented
20	#72268441	C₂	1	4	yes	maximal, complemented
21	#72268391	C₂	1	4	yes	maximal, complemented
22	#72268353	C₂	1	8	yes	maximal, complemented
23	#72268352	C₂	1	8	yes	maximal, complemented
24	#72268305	C₂	1	4	yes	maximal, complemented
25	#72268303	C₂	1	4	yes	maximal, complemented
26	#72251191	C₂	1	1	yes	maximal, characteristic, complemented
27	#72240658	C₂	1	2	yes	maximal, complemented
28	C₂×#6577212	C₂	1	1	yes	maximal, characteristic, complemented
29	#72238182	C₂	1	1	yes	maximal, characteristic, complemented
30	#10586479	C₂²	1	1	yes	characteristic
31	#10586472	C₂²	1	1	yes	characteristic
32	#10583811	C₂²	1	4	yes	complemented
33	#10583788	C₂²	1	2	yes	complemented
34	#10583787	C₂²	1	2	yes	complemented
35	#10583491	C₂²	1	4	yes	complemented
36	#10583483	C₂²	1	2	yes	complemented
37	#10583479	C₂²	1	2	yes	complemented
38	#10578029	C₂²	1	2	yes	—
39	#10577995	C₂²	1	1	yes	characteristic
40	#10577672	C₂²	1	2	yes	—
41	#10577535	C₂²	1	1	yes	characteristic
42	#10577338	C₂²	1	2	yes	—
43	#10577301	C₂²	1	1	yes	characteristic
44	C₂×#61167	C₂²	1	2	yes	—
45	C₂²×#3294	C₂²	1	1	yes	characteristic
46	#10574511	C₂²	1	1	yes	characteristic
47	C₂³×#442	C₂²	1	1	yes	characteristic, complemented
48	#7630947	C₂²	1	2	yes	complemented
49	#7630942	C₂²	1	2	yes	complemented
50	C₂×#36236	C₂²	1	1	yes	characteristic, complemented
51	C₂×#36102	C₂²	1	1	yes	characteristic, complemented
52	#6629729	C₂²	1	2	yes	complemented
53	C₂×#33135	C₂²	1	1	yes	characteristic, complemented
54	#6629217	C₂²	1	2	yes	complemented
55	#6629217	C₂²	1	2	yes	complemented
56	C₂×#33004	C₂²	1	1	yes	characteristic, complemented
57	C₂×#33002	C₂²	1	1	yes	characteristic, complemented
58	#6596185	C₂²	1	4	yes	complemented
59	#6595777	C₂²	1	4	yes	complemented
60	#6591503	C₂²	1	4	yes	complemented
61	#6577272	C₂²	1	8	yes	complemented
62	#6577260	C₂²	1	8	yes	complemented
63	#6577224	C₂²	1	8	yes	complemented
64	#6577212	C₂²	1	4	yes	complemented
65	#6577212	C₂²	1	4	yes	complemented
66	#6577212	C₂²	1	8	yes	complemented
67	#6577212	C₂²	1	4	yes	complemented
68	#6577212	C₂²	1	4	yes	complemented
69	#6573714	C₂²	1	4	yes	complemented
70	#6542237	C₂²	1	8	yes	complemented
71	#6533140	C₂²	1	8	yes	complemented
72	#6524806	C₂²	1	2	yes	complemented
73	#6516837	C₂²	1	2	yes	complemented
74	#6512844	C₂²	1	2	yes	complemented
75	#6512844	C₂²	1	2	yes	complemented
76	#6496264	C₂²	1	1	yes	characteristic
77	#6496264	C₂²	1	1	yes	characteristic, complemented
78	#6491100	C₂²	1	1	yes	characteristic
79	#6491100	C₂²	1	1	yes	characteristic, complemented
80	#6459732	C₂²	1	2	yes	complemented
81	C₂×#28341	C₂²	1	1	yes	characteristic, complemented
82	#6459347	C₂²	1	2	yes	complemented
83	C₂×#28097	C₂²	1	1	yes	characteristic, complemented
84	#6454042	C₂²	1	1	yes	characteristic
85	#6454042	C₂²	1	1	yes	characteristic, complemented
86	#6454042	C₂²	1	1	yes	characteristic, complemented
87	#6453073	C₂²	1	2	yes	complemented
88	C₂×#24581	C₂²	1	1	yes	characteristic, complemented
89	#6452987	C₂²	1	2	yes	complemented
90	C₂×#24089	C₂²	1	1	yes	characteristic, complemented
91	#6437664	C₂²	1	2	yes	complemented
92	C₂×#24354	C₂²	1	1	yes	characteristic, complemented
93	#6437521	C₂²	1	2	yes	complemented
94	C₂×#23848	C₂²	1	1	yes	characteristic, complemented
95	#6393525	C₂²	1	2	yes	complemented
96	#6393523	C₂²	1	2	yes	complemented
97	#6385973	C₂²	1	1	yes	characteristic, complemented
98	#6385971	C₂²	1	1	yes	characteristic, complemented
99	#6379696	C₂²	1	2	yes	complemented
100	C₂×#22562	C₂²	1	1	yes	characteristic, complemented
101	#6373012	C₂²	1	2	yes	complemented
102	C₂×#21561	C₂²	1	1	yes	characteristic, complemented
103	#6346775	C₂²	1	2	yes	complemented
104	#6346765	C₂²	1	2	yes	complemented
105	#6346608	C₂²	1	1	yes	characteristic, complemented
106	#6346599	C₂²	1	1	yes	characteristic, complemented
107	#348134	C₂²	1	4	yes	complemented
108	#348124	C₂²	1	4	yes	complemented
109	#348114	C₂²	1	4	yes	complemented
110	#348104	C₂²	1	4	yes	complemented
111	#346578	C₂²	1	8	yes	complemented
112	#346550	C₂²	1	8	yes	complemented
113	#346547	C₂²	1	4	yes	complemented
114	#346546	C₂²	1	4	yes	complemented
115	#346519	C₂²	1	4	yes	complemented
116	#346518	C₂²	1	4	yes	complemented
117	#301938	C₂²	1	8	yes	complemented
118	#301935	C₂²	1	8	yes	complemented
119	#301916	C₂²	1	2	yes	complemented
120	#301913	C₂²	1	2	yes	complemented
121	#301913	C₂²	1	8	yes	complemented
122	#301911	C₂²	1	8	yes	complemented
123	#301911	C₂²	1	4	yes	complemented
124	#301884	C₂²	1	2	yes	complemented
125	#301881	C₂²	1	4	yes	complemented
126	#301879	C₂²	1	2	yes	complemented
127	#267450	C₂²	1	8	yes	complemented
128	#267443	C₂²	1	8	yes	complemented
129	#267426	C₂²	1	8	yes	complemented
130	#267426	C₂²	1	8	yes	complemented
131	#267419	C₂²	1	8	yes	complemented
132	#267419	C₂²	1	8	yes	complemented
133	#267418	C₂²	1	8	yes	complemented
134	#267411	C₂²	1	8	yes	complemented
135	#267391	C₂²	1	4	yes	complemented
136	#267390	C₂²	1	4	yes	complemented
137	#267378	C₂²	1	4	yes	complemented
138	#267378	C₂²	1	8	yes	complemented
139	#267371	C₂²	1	4	yes	complemented
140	#267371	C₂²	1	8	yes	complemented
141	#265274	C₂²	1	8	yes	complemented
142	#265274	C₂²	1	8	yes	complemented
143	#265246	C₂²	1	2	yes	complemented
144	#265245	C₂²	1	2	yes	complemented
145	#265245	C₂²	1	8	yes	complemented
146	#265244	C₂²	1	8	yes	complemented
147	#265244	C₂²	1	4	yes	complemented
148	#265243	C₂²	1	4	yes	complemented
149	#265242	C₂²	1	2	yes	complemented
150	#265242	C₂²	1	2	yes	complemented
151	#248588	C₂²	1	8	yes	complemented
152	#248587	C₂²	1	8	yes	complemented
153	#248587	C₂²	1	8	yes	complemented
154	#248567	C₂²	1	8	yes	complemented
155	#248566	C₂²	1	8	yes	complemented
156	#248566	C₂²	1	8	yes	complemented
157	#248493	C₂²	1	8	yes	complemented
158	#248492	C₂²	1	4	yes	complemented
159	#248491	C₂²	1	4	yes	complemented
160	#248491	C₂²	1	8	yes	complemented
161	#248472	C₂²	1	8	yes	complemented
162	#248471	C₂²	1	4	yes	complemented
163	#248470	C₂²	1	4	yes	complemented
164	#248470	C₂²	1	8	yes	complemented
165	#239383	C₂²	1	2	yes	complemented
166	#239383	C₂²	1	2	yes	complemented
167	#239354	C₂²	1	2	yes	complemented
168	#235105	C₂²	1	2	yes	complemented
169	#235099	C₂²	1	2	yes	complemented
170	#235085	C₂²	1	2	yes	complemented
171	#235079	C₂²	1	2	yes	complemented
172	#235061	C₂²	1	2	yes	complemented
173	#235055	C₂²	1	2	yes	complemented
174	#234327	C₂²	1	2	yes	complemented
175	#234327	C₂²	1	2	yes	complemented
176	#234284	C₂²	1	2	yes	complemented
177	#220286	C₂²	1	4	yes	complemented
178	#220286	C₂²	1	4	yes	complemented
179	#220270	C₂²	1	8	yes	complemented
180	#220268	C₂²	1	8	yes	complemented
181	#220252	C₂²	1	8	yes	complemented
182	#220250	C₂²	1	4	yes	complemented
183	#220250	C₂²	1	8	yes	complemented
184	#220250	C₂²	1	4	yes	complemented
185	#208831	C₂²	1	4	yes	complemented
186	#208829	C₂²	1	4	yes	complemented
187	#208815	C₂²	1	4	yes	complemented
188	#208813	C₂²	1	4	yes	complemented
189	#205760	C₂²	1	2	yes	complemented
190	#205751	C₂²	1	2	yes	complemented
191	#205750	C₂²	1	2	yes	complemented
192	#201397	C₂²	1	2	yes	complemented
193	#201395	C₂²	1	2	yes	complemented
194	#201388	C₂²	1	1	yes	characteristic, complemented
195	#201386	C₂²	1	1	yes	characteristic, complemented
196	#198464	C₂²	1	2	yes	complemented
197	#198463	C₂²	1	2	yes	complemented
198	#198433	C₂²	1	2	yes	complemented
199	#198432	C₂²	1	2	yes	complemented
200	#198405	C₂²	1	2	yes	complemented
201	#198404	C₂²	1	2	yes	complemented
202	#193899	C₂²	1	2	yes	complemented
203	#193893	C₂²	1	1	yes	characteristic, complemented
204	#192050	C₂²	1	2	yes	complemented
205	#192042	C₂²	1	1	yes	characteristic, complemented
206	#189531	C₂²	1	2	yes	complemented
207	#188806	C₂²	1	1	yes	characteristic, complemented
208	#185684	C₂²	1	2	yes	complemented
209	#185683	C₂²	1	2	yes	complemented
210	#185644	C₂²	1	1	yes	characteristic, complemented
211	#185643	C₂²	1	1	yes	characteristic, complemented
212	#185363	C₂²	1	2	yes	complemented
213	#185363	C₂²	1	2	yes	complemented
214	#185329	C₂²	1	1	yes	characteristic, complemented
215	#185329	C₂²	1	1	yes	characteristic, complemented
216	#184919	C₂²	1	1	yes	characteristic
217	#182080	C₂²	1	1	yes	characteristic, complemented
218	#182076	C₂²	1	2	yes	complemented
219	C₂⁴×D₈	C₂³	1	1	yes	characteristic
220	#62991	C₂³	1	2	yes	—
221	#62988	C₂³	1	2	yes	—
222	#62983	C₂³	1	2	yes	—
223	D₄×H(5,𝔽₂)	C₂³	1	2	yes	—
224	#62901	C₂³	1	4	yes	—
225	#62892	C₂³	1	4	yes	—
226	#62818	C₂³	1	2	yes	—
227	#62818	C₂³	1	2	yes	—
228	#62773	C₂³	1	1	yes	characteristic
229	#62773	C₂³	1	1	yes	characteristic
230	#62773	C₂³	1	1	yes	characteristic
231	C₂×#3492	C₂³	1	2	yes	—
232	C₂×#3484	C₂³	1	2	yes	—
233	C₂²×#547	C₂³	1	1	yes	characteristic
234	C₂²×D₄²	C₂³	1	1	yes	characteristic
235	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic
236	C₂³×C₄×D₄	C₂³	1	1	yes	characteristic, complemented
237	#62253	C₂³	1	4	yes	—
238	#62253	C₂³	1	4	yes	—
239	#62247	C₂³	1	4	yes	—
240	#62247	C₂³	1	2	yes	—
241	#62246	C₂³	1	1	yes	characteristic
242	#62245	C₂³	1	4	yes	—
243	#62245	C₂³	1	1	yes	characteristic
244	#62244	C₂³	1	2	yes	—
245	#62243	C₂³	1	1	yes	characteristic
246	#62243	C₂³	1	1	yes	characteristic
247	#61706	C₂³	1	4	yes	—
248	#61706	C₂³	1	4	yes	—
249	#61704	C₂³	1	4	yes	—
250	#61696	C₂³	1	4	yes	—
251	#61695	C₂³	1	2	yes	—
252	#61694	C₂³	1	4	yes	—
253	#61694	C₂³	1	2	yes	—
254	#61571	C₂³	1	4	yes	—
255	#61571	C₂³	1	4	yes	—
256	#61569	C₂³	1	4	yes	—
257	#61561	C₂³	1	4	yes	—
258	#61560	C₂³	1	2	yes	—
259	#61559	C₂³	1	4	yes	—
260	#61559	C₂³	1	2	yes	—
261	C₂×#3318	D₄	1	4	yes	complemented
262	C₂×#3310	C₂³	1	4	yes	—
263	C₂×#3314	D₄	1	4	yes	complemented
264	C₂×#3306	C₂³	1	4	yes	—
265	C₂×#3297	D₄	1	4	yes	complemented
266	C₂×#3296	C₂³	1	4	yes	—
267	C₂×#3295	D₄	1	4	yes	complemented
268	C₂×#3294	D₄	1	2	yes	complemented
269	C₂×#3294	D₄	1	2	yes	complemented
270	C₂×#3294	D₄	1	2	yes	complemented
271	C₂×#3294	D₄	1	2	yes	complemented
272	C₂×#3294	C₂³	1	2	yes	—
273	C₂×#3294	C₂³	1	2	yes	—
274	C₂×#3294	C₂³	1	2	yes	—
275	C₂×#3294	C₂³	1	2	yes	—
276	C₂×#3294	C₂³	1	4	yes	—
277	#60750	C₂³	1	2	yes	—
278	#60750	C₂³	1	2	yes	—
279	#60734	C₂³	1	2	yes	—
280	C₂×#3136	D₄	1	2	yes	complemented
281	C₂²×#486	D₄	1	1	yes	characteristic, complemented
282	C₂×#3096	D₄	1	2	yes	complemented
283	C₂×#3092	C₂³	1	2	yes	—
284	C₂×#3092	C₂³	1	2	yes	complemented
285	C₂²×#481	C₂³	1	1	yes	characteristic, complemented
286	C₂²×#480	D₄	1	1	yes	characteristic, complemented
287	C₂²×#480	C₂³	1	1	yes	characteristic
288	C₂×#3081	D₄	1	2	yes	complemented
289	C₂²×#474	D₄	1	1	yes	characteristic, complemented
290	C₂×#3062	D₄	1	2	yes	complemented
291	C₂×#3050	C₂³	1	2	yes	—
292	C₂²×#466	D₄	1	1	yes	characteristic, complemented
293	C₂²×#466	C₂³	1	1	yes	characteristic
294	C₂×#3045	D₄	1	2	yes	complemented
295	C₂²×#459	D₄	1	1	yes	characteristic, complemented
296	C₂×#3012	D₄	1	2	yes	complemented
297	C₂×#3003	C₂³	1	2	yes	—
298	C₂×#3003	C₂³	1	2	yes	—
299	C₂²×#447	D₄	1	1	yes	characteristic, complemented
300	C₂²×#447	C₂³	1	1	yes	characteristic
301	C₂²×#447	C₂³	1	1	yes	characteristic
302	#60310	C₂³	1	2	yes	—
303	#60309	C₂³	1	2	yes	—
304	#60304	C₂³	1	2	yes	—
305	C₈×H(5,𝔽₂)	C₂³	1	2	yes	—
306	#60233	C₂³	1	2	yes	—
307	#60230	C₂³	1	1	yes	characteristic
308	C₂×#2946	D₄	1	2	yes	complemented
309	C₂²×#442	C₂³	1	4	yes	complemented
310	C₂²×#442	C₂³	1	4	yes	complemented
311	C₂²×C₄×D₈	D₄	1	1	yes	characteristic, complemented
312	C₂×#2929	C₂³	1	2	yes	—
313	C₂²×C₈×D₄	C₂³	1	1	yes	characteristic
314	C₂³×#106	C₂³	1	1	yes	characteristic, complemented
315	C₂×#2897	D₄	1	2	yes	complemented
316	C₂³×#102	D₄	1	1	yes	characteristic, complemented
317	C₂³×#102	C₂³	1	1	yes	characteristic
318	C₂³×#102	C₂³	1	1	yes	characteristic, complemented
319	C₂³×#97	C₂³	1	1	yes	characteristic, complemented
320	#36626	C₂³	1	2	yes	—
321	#36626	C₂³	1	2	yes	—
322	#36626	C₂³	1	2	yes	complemented
323	C₂×#2854	C₂³	1	1	yes	characteristic
324	C₂×#2854	C₂³	1	1	yes	characteristic, complemented
325	#36237	C₂³	1	8	yes	—
326	#36236	C₂³	1	4	yes	—
327	#36236	C₂³	1	8	yes	—
328	#36236	C₂³	1	4	yes	—
329	#36162	C₂³	1	8	yes	complemented
330	#36102	C₂³	1	4	yes	—
331	#36102	C₂³	1	4	yes	complemented
332	#36102	C₂³	1	8	yes	complemented
333	#35227	C₂³	1	2	yes	—
334	#35227	C₂³	1	2	yes	—
335	#35222	C₂³	1	2	yes	—
336	#35222	C₂³	1	2	yes	complemented
337	C₂×#2504	C₂³	1	1	yes	characteristic
338	C₂×#2487	C₂³	1	1	yes	characteristic
339	C₂×#2433	C₂³	1	1	yes	characteristic, complemented
340	C₂×#2408	C₂³	1	1	yes	characteristic
341	#34178	C₂³	1	2	yes	complemented
342	#34171	C₂³	1	2	yes	—
343	C₂×#2344	C₂³	1	1	yes	characteristic, complemented
344	C₂×D₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
345	C₂×C₄×#123	C₂³	1	1	yes	characteristic
346	#33136	C₂³	1	4	yes	complemented
347	#33135	C₂³	1	4	yes	complemented
348	#33135	C₂³	1	4	yes	complemented
349	#33135	C₂³	1	4	yes	complemented
350	#33134	C₂³	1	4	yes	complemented
351	#33134	C₂³	1	4	yes	complemented
352	#33009	C₂³	1	8	yes	complemented
353	#33007	C₂³	1	8	yes	complemented
354	#33004	C₂³	1	4	yes	complemented
355	#33004	C₂³	1	4	yes	complemented
356	#33004	C₂³	1	8	yes	complemented
357	#33002	C₂³	1	4	yes	complemented
358	#33002	C₂³	1	8	yes	complemented
359	#33002	C₂³	1	4	yes	complemented
360	#32976	C₂³	1	4	yes	—
361	#32926	C₂³	1	4	yes	—
362	#29710	C₂³	1	4	yes	—
363	#29684	C₂³	1	4	yes	—
364	#28342	C₂³	1	4	yes	complemented
365	#28341	C₂³	1	4	yes	complemented
366	#28341	C₂³	1	4	yes	complemented
367	#28341	C₂³	1	4	yes	complemented
368	#28332	C₂³	1	4	yes	complemented
369	#28331	C₂³	1	4	yes	complemented
370	#28104	C₂³	1	8	yes	complemented
371	#28097	C₂³	1	2	yes	—
372	#28097	C₂³	1	2	yes	—
373	#28097	C₂³	1	2	yes	complemented
374	#28097	C₂³	1	2	yes	complemented
375	#28097	C₂³	1	8	yes	complemented
376	#25947	C₂³	1	2	yes	—
377	#25900	C₂³	1	2	yes	—
378	#25900	C₂³	1	8	yes	—
379	#25853	C₂³	1	2	yes	—
380	#25771	C₂³	1	2	yes	—
381	#25771	C₂³	1	8	yes	complemented
382	#25664	C₂³	1	4	yes	—
383	#25664	C₂³	1	8	yes	—
384	#25585	C₂³	1	4	yes	complemented
385	#25585	C₂³	1	8	yes	complemented
386	#24581	C₂³	1	4	yes	complemented
387	#24581	C₂³	1	4	yes	complemented
388	#24581	C₂³	1	8	yes	complemented
389	#24580	C₂³	1	8	yes	complemented
390	#24355	C₂³	1	8	yes	complemented
391	#24354	C₂³	1	4	yes	complemented
392	#24354	C₂³	1	4	yes	complemented
393	#24354	C₂³	1	8	yes	complemented
394	#24351	D₄	1	2	yes	—
395	#24351	C₂³	1	2	yes	—
396	#24351	C₂³	1	2	yes	—
397	#24261	D₄	1	2	yes	—
398	#24261	C₂³	1	8	yes	—
399	#24261	C₂³	1	2	yes	—
400	#24261	C₂³	1	2	yes	—
401	#24261	C₂³	1	8	yes	complemented
402	#24141	D₄	1	4	yes	—
403	#24141	C₂³	1	4	yes	—
404	#24141	C₂³	1	8	yes	—
405	#24141	C₂³	1	4	yes	complemented
406	#24141	C₂³	1	8	yes	complemented
407	#24112	D₄	1	2	yes	—
408	#24095	C₂³	1	8	yes	complemented
409	#24089	C₂³	1	4	yes	—
410	#24089	C₂³	1	4	yes	complemented
411	#24089	C₂³	1	8	yes	complemented
412	#24056	D₄	1	2	yes	—
413	#23985	D₄	1	2	yes	—
414	#23901	D₄	1	2	yes	—
415	#23851	C₂³	1	8	yes	—
416	#23848	C₂³	1	4	yes	—
417	#23848	C₂³	1	4	yes	—
418	#23848	C₂³	1	8	yes	—
419	#23596	C₂³	1	4	yes	—
420	#22570	C₂³	1	8	yes	complemented
421	#22562	C₂³	1	4	yes	complemented
422	#22562	C₂³	1	4	yes	complemented
423	#22562	C₂³	1	8	yes	complemented
424	#22478	C₂³	1	8	yes	complemented
425	#22476	C₂³	1	8	yes	—
426	#22406	C₂³	1	4	yes	—
427	#22406	C₂³	1	4	yes	complemented
428	#22406	C₂³	1	8	yes	complemented
429	D₄×#99	C₂³	1	4	yes	—
430	D₄×#99	C₂³	1	8	yes	—
431	D₄×#99	C₂³	1	4	yes	—
432	#21874	C₂³	1	2	yes	—
433	#21874	C₂³	1	2	yes	—
434	#21874	C₂³	1	2	yes	—
435	#21874	C₂³	1	2	yes	complemented
436	#21793	C₂³	1	2	yes	—
437	#21793	C₂³	1	2	yes	complemented
438	#21564	C₂³	1	8	yes	complemented
439	#21561	C₂³	1	2	yes	—
440	#21561	C₂³	1	2	yes	—
441	#21561	C₂³	1	2	yes	complemented
442	#21561	C₂³	1	2	yes	complemented
443	#21561	C₂³	1	8	yes	complemented
444	C₄×#458	C₂³	1	4	yes	—
445	#21420	C₂³	1	2	yes	—
446	#21420	C₂³	1	2	yes	—
447	#21420	C₂³	1	2	yes	complemented
448	#20967	C₂³	1	2	yes	—
449	#20967	C₂³	1	2	yes	complemented
450	C₂×#1893	C₂³	1	1	yes	characteristic
451	C₂×#1893	C₂³	1	1	yes	characteristic, complemented
452	#20895	C₂³	1	2	yes	—
453	C₂×#1869	C₂³	1	1	yes	characteristic
454	#20834	C₂³	1	2	yes	complemented
455	C₂×#1850	C₂³	1	1	yes	characteristic, complemented
456	#20722	C₂³	1	1	yes	characteristic
457	#20722	C₂³	1	1	yes	characteristic
458	#20722	C₂³	1	1	yes	characteristic
459	#20700	C₂³	1	2	yes	complemented
460	#20700	C₂³	1	2	yes	complemented
461	C₂×#1824	C₂³	1	1	yes	characteristic, complemented
462	C₂×#1823	C₂³	1	1	yes	characteristic, complemented
463	#20682	C₂³	1	2	yes	complemented
464	C₂×#1817	C₂³	1	1	yes	characteristic, complemented
465	#20658	C₂³	1	2	yes	complemented
466	C₂×#1807	C₂³	1	1	yes	characteristic, complemented
467	#20598	C₂³	1	2	yes	—
468	#20598	C₂³	1	2	yes	complemented
469	C₂×#1786	C₂³	1	1	yes	characteristic
470	C₂×#1786	C₂³	1	1	yes	characteristic, complemented
471	#20385	C₂³	1	2	yes	complemented
472	C₂×#1752	C₂³	1	1	yes	characteristic, complemented
473	#18207	C₂³	1	8	yes	complemented
474	#18207	C₂³	1	4	yes	complemented
475	#18205	C₂³	1	2	yes	—
476	#18203	C₂³	1	2	yes	—
477	#18203	C₂³	1	8	yes	complemented
478	#18198	C₂³	1	4	yes	—
479	#18198	C₂³	1	8	yes	—
480	#18196	C₂³	1	2	yes	—
481	#18194	C₂³	1	8	yes	—
482	#18194	C₂³	1	2	yes	—
483	#17592	C₂³	1	2	yes	—
484	#17592	C₂³	1	2	yes	complemented
485	#17577	C₂³	1	2	yes	—
486	#17577	C₂³	1	2	yes	complemented
487	#17572	C₂³	1	2	yes	—
488	#17572	C₂³	1	2	yes	complemented
489	#17381	C₂³	1	2	yes	—
490	#17362	C₂³	1	1	yes	characteristic
491	#10566	C₂³	1	4	yes	complemented
492	#10565	C₂³	1	8	yes	complemented
493	#10565	C₂³	1	8	yes	complemented
494	#10565	C₂³	1	4	yes	complemented
495	#10565	C₂³	1	4	yes	complemented
496	#10564	C₂³	1	8	yes	complemented
497	#10564	C₂³	1	8	yes	complemented
498	#10564	C₂³	1	4	yes	complemented
499	#10325	C₂³	1	4	yes	complemented
500	#10323	C₂³	1	4	yes	complemented
501	#10323	C₂³	1	8	yes	complemented
502	#10323	C₂³	1	4	yes	complemented
503	#10323	C₂³	1	8	yes	complemented
504	#10321	C₂³	1	8	yes	complemented
505	#10321	C₂³	1	8	yes	complemented
506	#10321	C₂³	1	4	yes	complemented
507	#9959	C₂³	1	4	yes	complemented
508	#9958	C₂³	1	4	yes	complemented
509	#9958	C₂³	1	8	yes	complemented
510	#9955	C₂³	1	4	yes	complemented
511	#9954	C₂³	1	4	yes	complemented
512	#9954	C₂³	1	8	yes	complemented
513	#9951	C₂³	1	8	yes	complemented
514	#9951	C₂³	1	4	yes	complemented
515	#9950	C₂³	1	8	yes	complemented
516	#9950	C₂³	1	4	yes	complemented
517	#9950	C₂³	1	8	yes	complemented
518	#9947	C₂³	1	4	yes	complemented
519	#9947	C₂³	1	8	yes	complemented
520	#9946	C₂³	1	8	yes	complemented
521	#9946	C₂³	1	8	yes	complemented
522	#9946	C₂³	1	4	yes	complemented
523	#9786	C₂³	1	4	yes	complemented
524	#9786	C₂³	1	4	yes	complemented
525	#9785	C₂³	1	8	yes	complemented
526	#9785	C₂³	1	4	yes	complemented
527	#9785	C₂³	1	4	yes	complemented
528	#9784	C₂³	1	4	yes	complemented
529	#9784	C₂³	1	4	yes	complemented
530	#9783	C₂³	1	8	yes	complemented
531	#9781	C₂³	1	4	yes	complemented
532	#9781	C₂³	1	4	yes	complemented
533	#9473	C₂³	1	4	yes	complemented
534	#9473	C₂³	1	8	yes	complemented
535	#9472	C₂³	1	4	yes	complemented
536	#9472	C₂³	1	8	yes	complemented
537	#9469	C₂³	1	4	yes	—
538	#9469	C₂³	1	8	yes	complemented
539	#9468	C₂³	1	4	yes	—
540	#9468	C₂³	1	8	yes	complemented
541	#9260	C₂³	1	8	yes	complemented
542	#9260	C₂³	1	8	yes	complemented
543	#9260	C₂³	1	8	yes	complemented
544	#9260	C₂³	1	8	yes	complemented
545	#9259	C₂³	1	8	yes	complemented
546	#9259	C₂³	1	8	yes	complemented
547	#9259	C₂³	1	8	yes	complemented
548	#9259	C₂³	1	8	yes	complemented
549	#9256	C₂³	1	8	yes	complemented
550	#9256	C₂³	1	8	yes	complemented
551	#9255	C₂³	1	8	yes	complemented
552	#9255	C₂³	1	8	yes	complemented
553	#8968	C₂³	1	4	yes	complemented
554	#8968	C₂³	1	8	yes	complemented
555	#8966	C₂³	1	4	yes	—
556	#8966	C₂³	1	8	yes	complemented
557	#8852	C₂³	1	4	yes	complemented
558	#8852	C₂³	1	8	yes	complemented
559	#8851	C₂³	1	4	yes	—
560	#8851	C₂³	1	8	yes	complemented
561	#8610	C₂³	1	8	yes	complemented
562	#8609	C₂³	1	2	yes	—
563	#8609	C₂³	1	2	yes	complemented
564	#8608	C₂³	1	2	yes	—
565	#8608	C₂³	1	2	yes	complemented
566	#8608	C₂³	1	8	yes	complemented
567	#8382	C₂³	1	8	yes	complemented
568	#8381	C₂³	1	8	yes	—
569	#8376	C₂³	1	4	yes	—
570	#8376	C₂³	1	4	yes	complemented
571	#8376	C₂³	1	8	yes	complemented
572	#8375	C₂³	1	4	yes	—
573	#8375	C₂³	1	4	yes	—
574	#8375	C₂³	1	8	yes	—
575	#8352	C₂³	1	8	yes	—
576	#8352	C₂³	1	4	yes	—
577	#8352	C₂³	1	8	yes	complemented
578	#8352	C₂³	1	4	yes	complemented
579	#8351	C₂³	1	2	yes	—
580	#8351	C₂³	1	2	yes	—
581	#8350	C₂³	1	8	yes	—
582	#8350	C₂³	1	2	yes	—
583	#8350	C₂³	1	2	yes	—
584	#8350	C₂³	1	8	yes	complemented
585	#8317	C₂³	1	4	yes	—
586	#8316	C₂³	1	4	yes	—
587	#8161	C₂³	1	8	yes	complemented
588	#8160	C₂³	1	2	yes	—
589	#8160	C₂³	1	8	yes	complemented
590	#8160	C₂³	1	2	yes	complemented
591	C₈×#99	C₂³	1	2	yes	—
592	C₈×#99	C₂³	1	2	yes	complemented
593	#7983	C₂³	1	2	yes	complemented
594	#7983	C₂³	1	2	yes	complemented
595	#7982	C₂³	1	2	yes	complemented
596	#7929	C₂³	1	2	yes	complemented
597	#7927	C₂³	1	2	yes	complemented
598	#7925	C₂³	1	2	yes	complemented
599	C₂²×H(5,𝔽₂)	C₂×D₄	1	2	yes	—
600	C₂⁴×D₄	C₂×D₄	1	1	yes	characteristic
601	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
602	C₂⁴×D₄	C₂⁴	1	1	yes	characteristic
603	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
604	C₂²×AGL(1,ℤ/8)	C₂×D₄	1	2	yes	—
605	C₂²×#135	C₂×D₄	1	2	yes	—
606	C₂³×D₈	C₂×D₄	1	1	yes	characteristic
607	C₂³×D₈	C₂×D₄	1	1	yes	characteristic
608	C₂³×D₈	C₂×D₄	1	1	yes	characteristic
609	C₂³×D₈	C₂⁴	1	4	yes	—
610	C₂²×#131	C₂×D₄	1	2	yes	—
611	C₂⁴×C₈	C₂×D₄	1	1	yes	characteristic
612	C₂⁴×C₈	C₂⁴	1	1	yes	characteristic
613	C₂⁴×C₈	C₂⁴	1	1	yes	characteristic
614	#3505	C₂×D₄	1	2	yes	—
615	#3505	C₂⁴	1	4	yes	—
616	#3505	C₂⁴	1	2	yes	—
617	#3505	C₂⁴	1	4	yes	—
618	#3505	C₂⁴	1	2	yes	—
619	#3501	C₂×D₄	1	1	yes	characteristic
620	#3501	C₂⁴	1	1	yes	characteristic
621	#3501	C₂⁴	1	1	yes	characteristic
622	#3496	C₂×D₄	1	1	yes	characteristic
623	#3496	C₂⁴	1	1	yes	characteristic
624	#3496	C₂⁴	1	4	yes	—
625	#3496	C₂⁴	1	1	yes	characteristic
626	#3496	C₂⁴	1	4	yes	—
627	#3490	C₂×D₄	1	2	yes	—
628	#3484	C₂×D₄	1	2	yes	—
629	C₂×#554	C₂×D₄	1	4	yes	—
630	C₂×#553	C₂×D₄	1	4	yes	—
631	C₂×#552	C₂⁴	1	4	yes	—
632	C₂×#547	C₂×D₄	1	2	yes	—
633	C₂×#547	C₂×D₄	1	2	yes	—
634	C₂×#547	C₂⁴	1	2	yes	—
635	C₂×#547	C₂⁴	1	2	yes	—
636	C₂×#547	C₂⁴	1	4	yes	—
637	C₂×#546	C₂×D₄	1	4	yes	—
638	C₂×#546	C₂⁴	1	4	yes	—
639	C₂×D₄²	C₂×D₄	1	4	yes	—
640	C₂×D₄²	C₂×D₄	1	2	yes	—
641	C₂×D₄²	C₂×D₄	1	2	yes	—
642	C₂×D₄²	C₂⁴	1	2	yes	—
643	C₂×D₄²	C₂⁴	1	4	yes	—
644	C₂×D₄²	C₂⁴	1	2	yes	—
645	#3459	C₂⁴	1	2	yes	—
646	C₂×#544	C₂×D₄	1	2	yes	—
647	C₂×#537	C₂×D₄	1	2	yes	—
648	C₂×#535	C₂×D₄	1	2	yes	—
649	C₂×#535	C₂×D₄	1	2	yes	—
650	C₂²×C₄⋊Q₈	C₂×D₄	1	1	yes	characteristic
651	C₂²×#127	C₂×D₄	1	1	yes	characteristic
652	C₂×#525	C₂⁴	1	2	yes	—
653	C₂×#525	C₂⁴	1	2	yes	—
654	C₂×#525	C₂⁴	1	2	yes	—
655	C₂²×#123	C₂×D₄	1	1	yes	characteristic
656	C₂²×#121	C₂×D₄	1	1	yes	characteristic
657	C₂²×#121	C₂×D₄	1	1	yes	characteristic
658	C₂²×#121	C₂⁴	1	1	yes	characteristic
659	C₂²×#121	C₂⁴	1	1	yes	characteristic
660	C₄×H(5,𝔽₂)	C₂⁴	1	2	yes	—
661	C₂×#520	C₂×D₄	1	2	yes	—
662	C₂×#520	C₂×D₄	1	2	yes	—
663	C₂×#518	C₂×D₄	1	2	yes	—
664	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
665	C₂²×C₄×D₄	C₂×D₄	1	1	yes	characteristic
666	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
667	C₂²×C₄×D₄	C₂⁴	1	4	yes	—
668	C₂²×C₄×D₄	C₂⁴	1	1	yes	characteristic
669	C₂³×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
670	C₂³×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
671	C₂³×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
672	C₂³×C₄²	C₂⁴	1	1	yes	characteristic
673	#3189	C₂⁴	1	2	yes	—
674	#3187	C₂⁴	1	4	yes	—
675	#3187	C₂⁴	1	2	yes	—
676	#3187	C₂⁴	1	2	yes	—
677	#3187	C₂⁴	1	4	yes	—
678	#3186	C₂⁴	1	4	yes	—
679	#3186	C₂⁴	1	4	yes	—
680	#3186	C₂⁴	1	2	yes	—
681	C₂×#490	C₂×D₄	1	4	yes	complemented
682	C₂×#489	C₂×D₄	1	4	yes	complemented
683	C₂×#488	C₂×D₄	1	4	yes	complemented
684	C₂×#486	C₂×D₄	1	2	yes	—
685	C₂×#486	C₂×D₄	1	2	yes	—
686	C₂×#486	C₂×D₄	1	2	yes	—
687	C₂×#486	C₂×D₄	1	2	yes	—
688	C₂×#486	C₂×D₄	1	4	yes	complemented
689	C₂×#484	C₂×D₄	1	4	yes	—
690	C₂×#484	C₂⁴	1	4	yes	—
691	C₂×#481	C₂×D₄	1	4	yes	—
692	C₂×#481	C₂×D₄	1	4	yes	complemented
693	C₂×#481	C₂⁴	1	4	yes	—
694	C₂×#481	C₂⁴	1	4	yes	—
695	C₂×#482	C₂×D₄	1	4	yes	complemented
696	C₂×#482	C₂×D₄	1	4	yes	complemented
697	C₂×#483	C₂⁴	1	4	yes	—
698	C₂×#480	C₂×D₄	1	2	yes	—
699	C₂×#480	C₂×D₄	1	2	yes	—
700	C₂×#480	C₂×D₄	1	2	yes	—
701	C₂×#480	C₂×D₄	1	2	yes	—
702	C₂×#480	C₂×D₄	1	2	yes	—
703	C₂×#480	C₂×D₄	1	2	yes	—
704	C₂×#480	C₂×D₄	1	4	yes	complemented
705	C₂×#480	C₂⁴	1	2	yes	—
706	C₂×#480	C₂⁴	1	2	yes	—
707	C₂×#480	C₂⁴	1	4	yes	—
708	C₂×#478	C₂×D₄	1	4	yes	complemented
709	C₂×#478	C₂×D₄	1	4	yes	complemented
710	C₂×#476	C₂×D₄	1	4	yes	complemented
711	C₂×#474	C₂×D₄	1	2	yes	—
712	C₂×#474	C₂×D₄	1	2	yes	—
713	C₂×#474	C₂×D₄	1	2	yes	—
714	C₂×#474	C₂×D₄	1	2	yes	—
715	C₂×#474	C₂×D₄	1	4	yes	complemented
716	C₂×#469	C₂×D₄	1	4	yes	complemented
717	C₂×#468	C₂×D₄	1	4	yes	complemented
718	C₂×#467	C₂×D₄	1	2	yes	—
719	C₂×#467	C₂⁴	1	2	yes	—
720	C₂×#466	C₂×D₄	1	2	yes	—
721	C₂×#466	C₂×D₄	1	2	yes	—
722	C₂×#466	C₂×D₄	1	2	yes	—
723	C₂×#466	C₂×D₄	1	2	yes	—
724	C₂×#466	C₂×D₄	1	2	yes	—
725	C₂×#466	C₂×D₄	1	2	yes	—
726	C₂×#466	C₂×D₄	1	2	yes	—
727	C₂×#466	C₂×D₄	1	4	yes	complemented
728	C₂×#466	C₂⁴	1	2	yes	—
729	C₂×#466	C₂⁴	1	2	yes	—
730	C₂×#466	C₂⁴	1	2	yes	—
731	C₂×#465	C₂×D₄	1	2	yes	—
732	C₂×#465	C₂×D₄	1	2	yes	—
733	C₂×#465	C₂×D₄	1	4	yes	complemented
734	C₂×#465	C₂⁴	1	2	yes	—
735	C₂×#465	C₂⁴	1	2	yes	—
736	C₂×#464	C₂×D₄	1	4	yes	complemented
737	C₂×#460	C₂×D₄	1	4	yes	complemented
738	C₂×#463	C₂×D₄	1	4	yes	complemented
739	C₂×#459	C₂×D₄	1	2	yes	—
740	C₂×#459	C₂×D₄	1	2	yes	—
741	C₂×#459	C₂×D₄	1	2	yes	—
742	C₂×#459	C₂×D₄	1	2	yes	—
743	C₂×#459	C₂×D₄	1	4	yes	complemented
744	C₂×#458	C₂×D₄	1	4	yes	—
745	C₂×#452	C₂×D₄	1	4	yes	complemented
746	C₂×#449	C₂×D₄	1	4	yes	complemented
747	C₂×#450	C₂×D₄	1	4	yes	—
748	C₂×#450	C₂×D₄	1	4	yes	complemented
749	C₂×#450	C₂⁴	1	4	yes	—
750	C₂×#450	C₂⁴	1	4	yes	—
751	C₂×#447	C₂×D₄	1	4	yes	—
752	C₂×#447	C₂×D₄	1	2	yes	—
753	C₂×#447	C₂×D₄	1	2	yes	—
754	C₂×#447	C₂×D₄	1	2	yes	—
755	C₂×#447	C₂×D₄	1	2	yes	—
756	C₂×#447	C₂×D₄	1	2	yes	—
757	C₂×#447	C₂×D₄	1	2	yes	—
758	C₂×#447	C₂×D₄	1	4	yes	complemented
759	C₂×#447	C₂⁴	1	4	yes	—
760	C₂×#447	C₂⁴	1	4	yes	—
761	C₂×#447	C₂⁴	1	2	yes	—
762	C₂×#447	C₂⁴	1	4	yes	—
763	C₂×#447	C₂⁴	1	2	yes	—
764	#2973	C₂⁴	1	4	yes	—
765	#2973	C₂⁴	1	2	yes	—
766	#2972	C₂⁴	1	4	yes	—
767	#2972	C₂⁴	1	2	yes	—
768	C₂×#442	C₂×D₄	1	4	yes	complemented
769	C₂×#440	C₂×D₄	1	4	yes	complemented
770	C₂×C₄×SD₁₆	C₂×D₄	1	4	yes	complemented
771	C₂×C₄×D₈	C₂×D₄	1	2	yes	—
772	C₂×C₄×D₈	C₂×D₄	1	2	yes	—
773	C₂×C₄×D₈	C₂×D₄	1	2	yes	—
774	C₂×C₄×D₈	C₂×D₄	1	2	yes	—
775	C₂×C₄×D₈	C₂×D₄	1	4	yes	complemented
776	C₂×#435	C₂×D₄	1	4	yes	—
777	C₂×#435	C₂⁴	1	4	yes	—
778	C₂×C₈×D₄	C₂×D₄	1	1	yes	characteristic
779	C₂×C₈×D₄	C₂×D₄	1	1	yes	characteristic
780	C₂×C₈×D₄	C₂×D₄	1	1	yes	characteristic
781	C₂×C₈×D₄	C₂×D₄	1	1	yes	characteristic
782	C₂×C₈×D₄	C₂×D₄	1	4	yes	—
783	C₂×C₈×D₄	C₂⁴	1	1	yes	characteristic
784	C₂×C₈×D₄	C₂⁴	1	1	yes	characteristic
785	C₂×C₈×D₄	C₂⁴	1	1	yes	characteristic
786	C₂×C₈×D₄	C₂⁴	1	4	yes	—
787	C₂×C₈×D₄	C₂⁴	1	1	yes	characteristic
788	C₂×#428	C₂×D₄	1	2	yes	—
789	C₂×#428	C₂×D₄	1	2	yes	—
790	C₂×#427	C₂×D₄	1	2	yes	—
791	C₂²×#107	C₂×D₄	1	1	yes	characteristic
792	C₂²×#107	C₂×D₄	1	1	yes	characteristic
793	C₂²×#107	C₂×D₄	1	1	yes	characteristic
794	C₂²×#106	C₂⁴	1	4	yes	—
795	C₂×#424	C₂×D₄	1	2	yes	—
796	C₂²×C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
797	C₂×#417	C₂×D₄	1	2	yes	—
798	C₂×#417	C₂×D₄	1	2	yes	—
799	C₂×#417	C₂×D₄	1	4	yes	complemented
800	C₂×#418	C₂×D₄	1	2	yes	—
801	C₂×#418	C₂×D₄	1	2	yes	—
802	C₂×#418	C₂×D₄	1	4	yes	complemented
803	C₂×#416	C₂×D₄	1	2	yes	—
804	C₂×#416	C₂×D₄	1	2	yes	—
805	C₂×#416	C₂×D₄	1	4	yes	complemented
806	C₂²×#102	C₂×D₄	1	1	yes	characteristic
807	C₂²×#102	C₂×D₄	1	1	yes	characteristic
808	C₂²×#102	C₂×D₄	1	1	yes	characteristic
809	C₂²×#102	C₂×D₄	1	1	yes	characteristic
810	C₂²×#102	C₂×D₄	1	1	yes	characteristic
811	C₂²×#102	C₂×D₄	1	2	yes	—
812	C₂²×#102	C₂×D₄	1	2	yes	—
813	C₂²×#102	C₂×D₄	1	2	yes	—
814	C₂²×#102	C₂×D₄	1	2	yes	—
815	C₂²×#102	C₂×D₄	1	1	yes	characteristic
816	C₂²×#102	C₂×D₄	1	2	yes	—
817	C₂²×#102	C₂×D₄	1	1	yes	characteristic
818	C₂²×#102	C₂×D₄	1	2	yes	—
819	C₂²×#102	C₂×D₄	1	2	yes	—
820	C₂²×#102	C₂×D₄	1	2	yes	—
821	C₂²×#102	C₂×D₄	1	4	yes	—
822	C₂²×#102	C₂×D₄	1	4	yes	—
823	C₂²×#102	C₂×D₄	1	1	yes	characteristic
824	C₂²×#102	C₂×D₄	1	1	yes	characteristic
825	C₂²×#102	C₂×D₄	1	2	yes	—
826	C₂²×#102	C₂×D₄	1	1	yes	characteristic
827	C₂²×#102	C₂×D₄	1	2	yes	—
828	C₂²×#102	C₂×D₄	1	4	yes	complemented
829	C₂²×#102	C₂⁴	1	2	yes	—
830	C₂²×#102	C₂⁴	1	2	yes	—
831	C₂²×#102	C₂⁴	1	2	yes	—
832	C₂²×#102	C₂⁴	1	2	yes	—
833	C₂×#408	C₂×D₄	1	2	yes	—
834	C₂×#407	C₂⁴	1	2	yes	—
835	C₂×#407	C₂⁴	1	2	yes	—
836	C₂²×C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
837	C₂²×C₂²⋊C₈	C₂⁴	1	1	yes	characteristic
838	C₂²×C₂²⋊C₈	C₂⁴	1	1	yes	characteristic
839	C₂×#405	C₂×D₄	1	2	yes	—
840	C₂²×#97	C₂⁴	1	2	yes	—
841	C₂²×#97	C₂⁴	1	2	yes	—
842	C₂²×C₄×C₈	C₂×D₄	1	1	yes	characteristic
843	#2855	C₂×D₄	1	4	yes	—
844	#2855	C₂⁴	1	4	yes	—
845	#2855	C₂⁴	1	4	yes	—
846	#2854	C₂×D₄	1	4	yes	—
847	#2854	C₂⁴	1	4	yes	—
848	#2854	C₂⁴	1	4	yes	—
849	#2854	C₂⁴	1	4	yes	—
850	#2854	C₂⁴	1	4	yes	—
851	#2849	C₂×D₄	1	4	yes	—
852	#2849	C₂×D₄	1	4	yes	—
853	#2504	C₂⁴	1	4	yes	—
854	#2504	C₂⁴	1	4	yes	—
855	#2502	C₂⁴	1	4	yes	—
856	#2487	C₂⁴	1	2	yes	—
857	#2487	C₂⁴	1	8	yes	—
858	#2487	C₂⁴	1	2	yes	—
859	#2435	C₂⁴	1	4	yes	—
860	#2433	C₂⁴	1	4	yes	—
861	#2433	C₂⁴	1	4	yes	—
862	#2408	C₂⁴	1	2	yes	—
863	#2408	C₂⁴	1	8	yes	—
864	#2408	C₂⁴	1	2	yes	—
865	#2344	C₂⁴	1	8	yes	—
866	#2344	C₂⁴	1	4	yes	—
867	D₄×C₂²⋊C₄	C₂⁴	1	4	yes	—
868	D₄×C₂²⋊C₄	C₂⁴	1	8	yes	—
869	C₄×#123	C₂×D₄	1	2	yes	—
870	C₄×#123	C₂×D₄	1	2	yes	—
871	C₄×#123	C₂⁴	1	2	yes	—
872	C₄×#123	C₂⁴	1	8	yes	—
873	C₄×#123	C₂⁴	1	2	yes	—
874	C₂×#386	C₂×D₄	1	1	yes	characteristic
875	C₂×#385	C₂×D₄	1	1	yes	characteristic
876	#2280	C₂⁴	1	2	yes	—
877	#2280	C₂⁴	1	2	yes	—
878	#2280	C₂⁴	1	2	yes	—
879	C₂×#381	C₂×D₄	1	1	yes	characteristic
880	C₂×#380	C₂⁴	1	1	yes	characteristic
881	C₂×#380	C₂⁴	1	1	yes	characteristic
882	C₂×C₄×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
883	#2062	C₂×D₄	1	4	yes	—
884	#2044	C₂×D₄	1	4	yes	—
885	#2044	C₂×D₄	1	8	yes	—
886	#2030	C₂×D₄	1	4	yes	—
887	#2022	C₂×D₄	1	8	yes	—
888	#2022	C₂×D₄	1	4	yes	—
889	#1996	C₂×D₄	1	4	yes	—
890	#1996	C₂⁴	1	4	yes	—
891	#1996	C₂⁴	1	4	yes	—
892	#1996	C₂⁴	1	4	yes	—
893	#1996	C₂⁴	1	4	yes	—
894	#1964	C₂×D₄	1	4	yes	—
895	#1964	C₂⁴	1	8	yes	—
896	#1964	C₂⁴	1	8	yes	—
897	#1964	C₂⁴	1	4	yes	—
898	#1964	C₂⁴	1	4	yes	—
899	#1964	C₂⁴	1	4	yes	—
900	#1964	C₂⁴	1	4	yes	—
901	#1898	C₂×D₄	1	4	yes	—
902	#1898	C₂×D₄	1	4	yes	—
903	#1893	C₂⁴	1	4	yes	—
904	#1893	C₂⁴	1	4	yes	—
905	#1893	C₂⁴	1	4	yes	—
906	#1893	C₂⁴	1	4	yes	—
907	#1892	C₂⁴	1	4	yes	—
908	#1892	C₂⁴	1	4	yes	—
909	#1890	C₂×D₄	1	4	yes	—
910	#1890	C₂×D₄	1	8	yes	—
911	#1869	C₂⁴	1	2	yes	—
912	#1869	C₂⁴	1	2	yes	—
913	#1869	C₂⁴	1	8	yes	—
914	#1867	C₂×D₄	1	4	yes	—
915	#1867	C₂×D₄	1	8	yes	—
916	#1850	C₂⁴	1	8	yes	—
917	#1850	C₂⁴	1	2	yes	—
918	#1850	C₂⁴	1	2	yes	—
919	#1824	C₂⁴	1	2	yes	—
920	#1824	C₂⁴	1	8	yes	—
921	#1824	C₂⁴	1	2	yes	—
922	#1823	C₂⁴	1	4	yes	—
923	#1823	C₂⁴	1	8	yes	—
924	#1819	C₂×D₄	1	2	yes	—
925	#1817	C₂⁴	1	8	yes	—
926	#1817	C₂⁴	1	2	yes	—
927	#1817	C₂⁴	1	2	yes	—
928	#1808	C₂⁴	1	4	yes	—
929	#1807	C₂⁴	1	2	yes	—
930	#1807	C₂⁴	1	2	yes	—
931	#1807	C₂⁴	1	4	yes	—
932	#1799	C₂×D₄	1	2	yes	—
933	#1799	C₂×D₄	1	2	yes	—
934	#1799	C₂⁴	1	2	yes	—
935	#1799	C₂⁴	1	8	yes	—
936	#1799	C₂⁴	1	2	yes	—
937	#1799	C₂⁴	1	8	yes	—
938	#1799	C₂⁴	1	2	yes	—
939	#1799	C₂⁴	1	2	yes	—
940	#1790	C₂×D₄	1	4	yes	—
941	#1786	C₂⁴	1	2	yes	—
942	#1786	C₂⁴	1	8	yes	—
943	#1786	C₂⁴	1	4	yes	—
944	#1786	C₂⁴	1	8	yes	—
945	#1786	C₂⁴	1	2	yes	—
946	#1781	C₂×D₄	1	2	yes	—
947	C₄×#99	C₂⁴	1	2	yes	—
948	C₄×#99	C₂⁴	1	8	yes	—
949	C₄×#99	C₂⁴	1	2	yes	—
950	#1752	C₂⁴	1	2	yes	—
951	#1752	C₂⁴	1	4	yes	—
952	#1752	C₂⁴	1	2	yes	—
953	C₈×C₂²⋊C₄	C₂⁴	1	4	yes	—
954	#1520	C₂⁴	1	4	yes	—
955	#1520	C₂⁴	1	4	yes	—
956	#1520	C₂⁴	1	4	yes	—
957	#1520	C₂⁴	1	4	yes	—
958	#1519	C₂⁴	1	4	yes	—
959	#1519	C₂⁴	1	4	yes	—
960	#1519	C₂⁴	1	8	yes	—
961	#1519	C₂⁴	1	4	yes	—
962	#1519	C₂⁴	1	4	yes	—
963	#1519	C₂⁴	1	8	yes	—
964	#1459	C₂⁴	1	2	yes	—
965	#1459	C₂⁴	1	8	yes	—
966	#1459	C₂⁴	1	2	yes	—
967	#1289	C₂⁴	1	4	yes	—
968	#1289	C₂⁴	1	8	yes	—
969	#1289	C₂⁴	1	8	yes	—
970	#1289	C₂⁴	1	4	yes	—
971	#1282	C₂⁴	1	8	yes	—
972	#1282	C₂⁴	1	4	yes	—
973	#1282	C₂⁴	1	8	yes	—
974	#1282	C₂⁴	1	4	yes	—
975	C₂×H(5,𝔽₂)	C₂²×D₄	1	2	yes	—
976	C₂²×#41	C₂²×D₄	1	2	yes	—
977	C₂²×#41	C₂²×D₄	1	2	yes	—
978	C₂²×#41	C₂²×D₄	1	4	yes	—
979	C₂²×#41	C₂²×D₄	1	2	yes	—
980	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
981	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
982	C₂³×D₄	C₂²×D₄	1	2	yes	—
983	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
984	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
985	C₂³×D₄	C₂²×D₄	1	2	yes	—
986	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
987	C₂³×D₄	C₂²×D₄	1	2	yes	—
988	C₂³×D₄	C₂²×D₄	1	2	yes	—
989	C₂³×D₄	C₂²×D₄	1	4	yes	—
990	C₂³×D₄	C₂²×D₄	1	4	yes	—
991	C₂³×D₄	C₂²×D₄	1	2	yes	—
992	C₂³×D₄	C₂⁵	1	2	yes	—
993	C₂³×D₄	C₂⁵	1	2	yes	—
994	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
995	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
996	C₂⁴×C₄	C₂²×D₄	1	1	yes	characteristic
997	C₂⁴×C₄	C₂⁵	1	1	yes	characteristic
998	C₂²×Q₁₆	C₂²×D₄	1	2	yes	—
999	C₂²×SD₁₆	C₂²×D₄	1	4	yes	—
1000	C₂²×SD₁₆	C₂²×D₄	1	4	yes	—
1001	C₂²×SD₁₆	C₂²×D₄	1	2	yes	—
1002	C₂²×SD₁₆	C₂²×D₄	1	2	yes	—
1003	C₂²×D₈	C₂²×D₄	1	2	yes	—
1004	C₂²×D₈	C₂²×D₄	1	2	yes	—
1005	C₂²×D₈	C₂²×D₄	1	4	yes	—
1006	C₂²×D₈	C₂²×D₄	1	2	yes	—
1007	C₂²×D₈	C₂²×D₄	1	4	yes	—
1008	C₂²×D₈	C₂²×D₄	1	2	yes	—
1009	C₂²×D₈	C₂²×D₄	1	2	yes	—
1010	C₂²×D₈	C₂²×D₄	1	2	yes	—
1011	C₂²×D₈	C₂²×D₄	1	2	yes	—
1012	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
1013	C₂²×M₁₆	C₂²×D₄	1	2	yes	—
1014	C₂²×M₁₆	C₂²×D₄	1	4	yes	—
1015	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
1016	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
1017	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
1018	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
1019	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
1020	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
1021	C₂³×C₈	C₂²×D₄	1	4	yes	—
1022	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
1023	C₂³×C₈	C₂²×D₄	1	2	yes	—
1024	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
1025	C₂³×C₈	C₂²×D₄	1	2	yes	—
1026	C₂³×C₈	C₂²×D₄	1	2	yes	—
1027	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
1028	C₂³×C₈	C₂²×D₄	1	1	yes	characteristic
1029	C₂³×C₈	C₂²×D₄	1	2	yes	—
1030	C₂³×C₈	C₂⁵	1	2	yes	—
1031	C₂³×C₈	C₂⁵	1	1	yes	characteristic
1032	C₂³×C₈	C₂⁵	1	1	yes	characteristic
1033	#543	C₂²×D₄	1	2	yes	—
1034	#534	C₂²×D₄	1	4	yes	—
1035	#534	C₂²×D₄	1	2	yes	—
1036	C₂×C₄⋊Q₈	C₂²×D₄	1	2	yes	—
1037	C₂×C₄⋊Q₈	C₂²×D₄	1	2	yes	—
1038	C₂×C₄⋊Q₈	C₂²×D₄	1	4	yes	—
1039	C₂×#127	C₂²×D₄	1	2	yes	—
1040	C₂×#127	C₂²×D₄	1	2	yes	—
1041	C₂×#127	C₂²×D₄	1	4	yes	—
1042	C₂×#125	C₂²×D₄	1	4	yes	—
1043	C₂×#124	C₂²×D₄	1	4	yes	—
1044	C₂×#123	C₂²×D₄	1	2	yes	—
1045	C₂×#123	C₂²×D₄	1	8	yes	—
1046	C₂×#123	C₂²×D₄	1	2	yes	—
1047	C₂×#123	H(5,𝔽₂)	1	4	yes	—
1048	C₂×C₂²⋊Q₈	C₂²×D₄	1	2	yes	—
1049	C₂×C₂²⋊Q₈	C₂²×D₄	1	2	yes	—
1050	C₂×C₂²⋊Q₈	C₂²×D₄	1	4	yes	—
1051	C₂×C₂²⋊Q₈	C₂²×D₄	1	2	yes	—
1052	C₂×C₂²⋊Q₈	H(5,𝔽₂)	1	2	yes	—
1053	C₂×C₂²⋊Q₈	C₂⁵	1	2	yes	—
1054	C₂×C₂²⋊Q₈	C₂⁵	1	2	yes	—
1055	C₂×#121	C₂²×D₄	1	2	yes	—
1056	C₂×#121	C₂²×D₄	1	2	yes	—
1057	C₂×#121	C₂²×D₄	1	2	yes	—
1058	C₂×#121	C₂²×D₄	1	2	yes	—
1059	C₂×#121	C₂²×D₄	1	2	yes	—
1060	C₂×#121	C₂²×D₄	1	2	yes	—
1061	C₂×#121	C₂²×D₄	1	4	yes	—
1062	C₂×#121	C₂²×D₄	1	4	yes	—
1063	C₂×#121	C₂²×D₄	1	2	yes	—
1064	C₂×#121	C₂²×D₄	1	2	yes	—
1065	C₂×#121	C₂²×D₄	1	4	yes	—
1066	C₂×#121	C₂²×D₄	1	2	yes	—
1067	C₂×#121	H(5,𝔽₂)	1	2	yes	—
1068	C₂×#121	C₂⁵	1	2	yes	—
1069	C₂×#121	C₂⁵	1	2	yes	—
1070	C₂×#121	C₂⁵	1	2	yes	—
1071	C₂×#121	C₂⁵	1	2	yes	—
1072	C₂×#120	C₂²×D₄	1	4	yes	—
1073	#518	C₂²×D₄	1	2	yes	—
1074	#518	C₂²×D₄	1	4	yes	—
1075	C₂×C₄×Q₈	C₂²×D₄	1	4	yes	—
1076	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1077	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1078	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
1079	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
1080	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
1081	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
1082	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
1083	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
1084	C₂×C₄×D₄	C₂²×D₄	1	2	yes	—
1085	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1086	C₂×C₄×D₄	C₂²×D₄	1	1	yes	characteristic
1087	C₂×C₄×D₄	C₂²×D₄	1	4	yes	—
1088	C₂×C₄×D₄	H(5,𝔽₂)	1	1	yes	characteristic
1089	C₂×C₄×D₄	H(5,𝔽₂)	1	1	yes	characteristic
1090	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
1091	C₂×C₄×D₄	C₂⁵	1	1	yes	characteristic
1092	C₂×C₄×D₄	C₂⁵	1	4	yes	—
1093	C₂×#117	C₂²×D₄	1	2	yes	—
1094	C₂×#117	C₂²×D₄	1	2	yes	—
1095	C₂×#117	C₂²×D₄	1	4	yes	—
1096	C₂×#117	C₂²×D₄	1	2	yes	—
1097	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1098	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1099	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1100	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1101	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1102	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1103	C₂²×C₄⋊C₄	C₂²×D₄	1	4	yes	—
1104	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1105	C₂²×C₄⋊C₄	C₂²×D₄	1	2	yes	—
1106	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1107	C₂²×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1108	C₂²×C₄⋊C₄	H(5,𝔽₂)	1	1	yes	characteristic
1109	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
1110	C₂²×C₄⋊C₄	C₂⁵	1	2	yes	—
1111	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1112	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1113	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
1114	C₂²×C₂²⋊C₄	H(5,𝔽₂)	1	1	yes	characteristic
1115	C₂²×C₄²	C₂²×D₄	1	2	yes	—
1116	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
1117	C₂²×C₄²	C₂⁵	1	2	yes	—
1118	C₂×#107	C₂²×D₄	1	2	yes	—
1119	C₂×#107	C₂²×D₄	1	4	yes	—
1120	C₂×#107	C₂²×D₄	1	2	yes	—
1121	C₂×#107	C₂²×D₄	1	2	yes	—
1122	C₂×#107	C₂²×D₄	1	2	yes	—
1123	C₂×#107	C₂²×D₄	1	2	yes	—
1124	C₂×#107	C₂²×D₄	1	4	yes	—
1125	C₂×#107	C₂²×D₄	1	2	yes	—
1126	C₂×#107	C₂²×D₄	1	2	yes	—
1127	C₂×#107	C₂²×D₄	1	2	yes	—
1128	C₂×#106	C₂²×D₄	1	2	yes	—
1129	C₂×#106	C₂²×D₄	1	4	yes	—
1130	C₂×#106	C₂²×D₄	1	4	yes	—
1131	C₂×#106	C₂²×D₄	1	2	yes	—
1132	C₂×C₄⋊C₈	C₂²×D₄	1	4	yes	—
1133	C₂×C₄⋊C₈	C₂²×D₄	1	4	yes	—
1134	C₂×C₄⋊C₈	C₂²×D₄	1	1	yes	characteristic
1135	C₂×C₄⋊C₈	C₂²×D₄	1	1	yes	characteristic
1136	C₂×C₄⋊C₈	C₂²×D₄	1	1	yes	characteristic
1137	C₂×C₄⋊C₈	C₂²×D₄	1	1	yes	characteristic
1138	C₂×#103	C₂²×D₄	1	4	yes	—
1139	C₂×#103	C₂²×D₄	1	4	yes	—
1140	C₂×#103	C₂²×D₄	1	2	yes	—
1141	C₂×#103	C₂²×D₄	1	2	yes	—
1142	C₂×#103	C₂²×D₄	1	2	yes	—
1143	C₂×#103	C₂²×D₄	1	2	yes	—
1144	C₂×#102	#120	1	1	yes	characteristic
1145	C₂×#102	#120	1	2	yes	—
1146	C₂×#102	#120	1	2	yes	—
1147	C₂×#102	#120	1	2	yes	—
1148	C₂×#102	#120	1	4	yes	—
1149	C₂×#102	#120	1	4	yes	—
1150	C₂×#102	#120	1	2	yes	—
1151	C₂×#102	#120	1	4	yes	—
1152	C₂×#102	#120	1	1	yes	characteristic
1153	C₂×#102	#120	1	2	yes	—
1154	C₂×#102	#120	1	4	yes	—
1155	C₂×#102	#120	1	4	yes	—
1156	C₂×#102	#120	1	2	yes	—
1157	C₂×#102	#120	1	2	yes	—
1158	C₂×#102	#120	1	2	yes	—
1159	C₂×#102	#120	1	1	yes	characteristic
1160	C₂×#102	#120	1	4	yes	—
1161	C₂×#102	#120	1	4	yes	—
1162	C₂×#102	#120	1	1	yes	characteristic
1163	C₂×#102	#120	1	2	yes	—
1164	C₂×#102	#120	1	2	yes	—
1165	C₂×#102	#120	1	4	yes	—
1166	C₂×#102	#120	1	4	yes	—
1167	C₂×#102	#120	1	4	yes	—
1168	C₂×#102	C₂²×D₄	1	4	yes	—
1169	C₂×#102	C₂²×D₄	1	2	yes	—
1170	C₂×#102	C₂²×D₄	1	2	yes	—
1171	C₂×#102	C₂²×D₄	1	4	yes	—
1172	C₂×#102	C₂²×D₄	1	4	yes	—
1173	C₂×#102	C₂²×D₄	1	2	yes	—
1174	C₂×#102	C₂²×D₄	1	2	yes	—
1175	C₂×#102	C₂²×D₄	1	2	yes	—
1176	C₂×#102	C₂²×D₄	1	2	yes	—
1177	C₂×#102	C₂²×D₄	1	4	yes	—
1178	C₂×#102	C₂²×D₄	1	4	yes	—
1179	C₂×#102	C₂²×D₄	1	2	yes	—
1180	C₂×#102	C₂²×D₄	1	2	yes	—
1181	C₂×#102	C₂²×D₄	1	2	yes	—
1182	C₂×#102	C₂²×D₄	1	2	yes	—
1183	C₂×#102	C₂²×D₄	1	2	yes	—
1184	C₂×#102	C₂²×D₄	1	2	yes	—
1185	C₂×#102	C₂²×D₄	1	4	yes	—
1186	C₂×#102	C₂²×D₄	1	2	yes	—
1187	C₂×#102	C₂²×D₄	1	2	yes	—
1188	C₂×#102	C₂²×D₄	1	2	yes	—
1189	C₂×#102	C₂²×D₄	1	2	yes	—
1190	C₂×#102	C₂²×D₄	1	4	yes	—
1191	C₂×#102	C₂²×D₄	1	4	yes	—
1192	C₂×#102	C₂²×D₄	1	2	yes	—
1193	C₂×#102	C₂²×D₄	1	2	yes	—
1194	C₂×#102	C₂²×D₄	1	4	yes	—
1195	C₂×#102	C₂²×D₄	1	4	yes	—
1196	C₂×#102	C₂²×D₄	1	2	yes	—
1197	C₂×#102	C₂²×D₄	1	2	yes	—
1198	C₂×#102	C₂²×D₄	1	4	yes	—
1199	C₂×#102	C₂²×D₄	1	4	yes	—
1200	C₂×#102	C₂²×D₄	1	2	yes	—
1201	C₂×#102	C₂²×D₄	1	2	yes	—
1202	C₂×#102	C₂²×D₄	1	2	yes	—
1203	C₂×#102	C₂²×D₄	1	2	yes	—
1204	C₂×#102	C₂²×D₄	1	4	yes	—
1205	C₂×#102	C₂²×D₄	1	4	yes	—
1206	C₂×#99	C₂²×D₄	1	4	yes	—
1207	C₂×#99	C₂²×D₄	1	4	yes	—
1208	C₂×#99	C₂²×D₄	1	8	yes	—
1209	C₂×#99	C₂²×D₄	1	8	yes	—
1210	C₂×C₂²⋊C₈	C₂²×D₄	1	1	yes	characteristic
1211	C₂×C₂²⋊C₈	C₂²×D₄	1	1	yes	characteristic
1212	C₂×C₂²⋊C₈	C₂²×D₄	1	1	yes	characteristic
1213	C₂×C₂²⋊C₈	C₂²×D₄	1	1	yes	characteristic
1214	C₂×C₂²⋊C₈	C₂²×D₄	1	1	yes	characteristic
1215	C₂×C₂²⋊C₈	C₂²×D₄	1	1	yes	characteristic
1216	C₂×C₂²⋊C₈	C₂²×D₄	1	4	yes	—
1217	C₂×C₂²⋊C₈	C₂²×D₄	1	4	yes	—
1218	C₂×C₂²⋊C₈	C₂²×D₄	1	4	yes	—
1219	C₂×C₂²⋊C₈	C₂⁵	1	2	yes	—
1220	C₂×C₂²⋊C₈	C₂⁵	1	4	yes	—
1221	C₂×C₂²⋊C₈	C₂⁵	1	1	yes	characteristic
1222	C₂×C₂²⋊C₈	C₂⁵	1	1	yes	characteristic
1223	C₂×C₂²⋊C₈	C₂⁵	1	4	yes	—
1224	C₂×#97	C₂²×D₄	1	4	yes	—
1225	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
1226	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
1227	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
1228	C₂×C₄×C₈	C₂²×D₄	1	1	yes	characteristic
1229	C₂×C₄×C₈	C₂²×D₄	1	4	yes	—
1230	#386	C₂²×D₄	1	8	yes	—
1231	#386	C₂²×D₄	1	2	yes	—
1232	#386	C₂²×D₄	1	2	yes	—
1233	#385	C₂²×D₄	1	2	yes	—
1234	#385	C₂²×D₄	1	2	yes	—
1235	#385	C₂²×D₄	1	8	yes	—
1236	#381	C₂²×D₄	1	2	yes	—
1237	#381	C₂²×D₄	1	2	yes	—
1238	#381	C₂²×D₄	1	8	yes	—
1239	#380	C₂²×D₄	1	4	yes	—
1240	#380	C₂⁵	1	2	yes	—
1241	#380	C₂⁵	1	2	yes	—
1242	#380	C₂⁵	1	4	yes	—
1243	#380	C₂⁵	1	4	yes	—
1244	#379	C₂²×D₄	1	4	yes	—
1245	C₄×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
1246	C₄×C₂²⋊C₄	C₂⁵	1	2	yes	—
1247	C₄×C₂²⋊C₄	C₂⁵	1	4	yes	—
1248	#342	C₂²×D₄	1	4	yes	—
1249	#342	C₂²×D₄	1	4	yes	—
1250	#342	C₂²×D₄	1	8	yes	—
1251	#342	C₂²×D₄	1	8	yes	—
1252	C₂⁵	D₄²	1	1	yes	characteristic
1253	C₂⁵	C₂³×D₄	1	1	yes	characteristic
1254	C₂²×Q₈	D₄²	1	2	yes	—
1255	C₂²×Q₈	C₂³×D₄	1	2	yes	—
1256	C₂²×Q₈	C₂³×D₄	1	2	yes	—
1257	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1258	C₂²×D₄	C₂×#120	1	2	yes	—
1259	C₂²×D₄	C₂×#120	1	2	yes	—
1260	C₂²×D₄	C₂×#120	1	4	yes	—
1261	C₂²×D₄	C₂×#120	1	1	yes	characteristic
1262	C₂²×D₄	C₂×#120	1	2	yes	—
1263	C₂²×D₄	C₂×#120	1	4	yes	—
1264	C₂²×D₄	D₄²	1	1	yes	characteristic
1265	C₂²×D₄	D₄²	1	1	yes	characteristic
1266	C₂²×D₄	D₄²	1	4	yes	—
1267	C₂²×D₄	D₄²	1	4	yes	—
1268	C₂²×D₄	D₄²	1	2	yes	—
1269	C₂²×D₄	C₂³×D₄	1	4	yes	—
1270	C₂²×D₄	C₂³×D₄	1	2	yes	—
1271	C₂²×D₄	C₂³×D₄	1	2	yes	—
1272	C₂²×D₄	C₂³×D₄	1	2	yes	—
1273	C₂²×D₄	C₂³×D₄	1	2	yes	—
1274	C₂²×D₄	C₂³×D₄	1	2	yes	—
1275	C₂²×D₄	C₂³×D₄	1	4	yes	—
1276	C₂²×D₄	C₂³×D₄	1	2	yes	—
1277	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1278	C₂²×D₄	C₂³×D₄	1	4	yes	—
1279	C₂²×D₄	C₂³×D₄	1	1	yes	characteristic
1280	C₂³×C₄	D₄²	1	1	yes	characteristic
1281	C₂³×C₄	D₄²	1	1	yes	characteristic
1282	C₂³×C₄	D₄²	1	1	yes	characteristic
1283	C₂³×C₄	D₄²	1	1	yes	characteristic
1284	C₂³×C₄	D₄²	1	1	yes	characteristic
1285	C₂³×C₄	C₂³×D₄	1	2	yes	—
1286	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1287	C₂³×C₄	C₂³×D₄	1	2	yes	—
1288	C₂³×C₄	C₂³×D₄	1	2	yes	—
1289	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1290	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1291	C₂³×C₄	C₂³×D₄	1	4	yes	—
1292	C₂³×C₄	C₂³×D₄	1	2	yes	—
1293	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1294	C₂³×C₄	C₂³×D₄	1	1	yes	characteristic
1295	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1296	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1297	C₂³×C₄	C₂×H(5,𝔽₂)	1	2	yes	—
1298	C₂³×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1299	C₂³×C₄	C₂⁶	1	1	yes	characteristic
1300	C₂²×C₈	C₂×#120	1	1	yes	characteristic
1301	C₂²×C₈	C₂×#120	1	1	yes	characteristic
1302	C₂²×C₈	C₂×#120	1	2	yes	—
1303	C₂²×C₈	C₂×#120	1	1	yes	characteristic
1304	C₂²×C₈	C₂×#120	1	1	yes	characteristic
1305	C₂²×C₈	C₂×#120	1	2	yes	—
1306	C₂²×C₈	C₂×#120	1	2	yes	—
1307	C₂²×C₈	C₂×#120	1	2	yes	—
1308	C₂²×C₈	C₂×#120	1	2	yes	—
1309	C₂²×C₈	C₂×#120	1	2	yes	—
1310	C₂²×C₈	C₂³×D₄	1	1	yes	characteristic
1311	C₂²×C₈	C₂³×D₄	1	1	yes	characteristic
1312	C₂²×C₈	C₂³×D₄	1	4	yes	—
1313	C₂²×C₈	C₂³×D₄	1	1	yes	characteristic
1314	C₂²×C₈	C₂³×D₄	1	1	yes	characteristic
1315	C₂²×C₈	C₂³×D₄	1	4	yes	—
1316	C₂²×C₈	C₂³×D₄	1	1	yes	characteristic
1317	C₂²×C₈	C₂³×D₄	1	1	yes	characteristic
1318	C₂²×C₈	C₂³×D₄	1	2	yes	—
1319	C₂²×C₈	C₂³×D₄	1	2	yes	—
1320	C₂²×C₈	C₂³×D₄	1	1	yes	characteristic
1321	C₂²×C₈	C₂³×D₄	1	1	yes	characteristic
1322	C₂²×C₈	C₂³×D₄	1	2	yes	—
1323	C₂²×C₈	C₂³×D₄	1	2	yes	—
1324	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1325	C₂×C₄⋊C₄	C₂×#120	1	1	yes	characteristic
1326	C₂×C₄⋊C₄	C₂×#120	1	2	yes	—
1327	C₂×C₄⋊C₄	C₂×#120	1	2	yes	—
1328	C₂×C₄⋊C₄	C₂×#120	1	4	yes	—
1329	C₂×C₄⋊C₄	C₂×#120	1	2	yes	—
1330	C₂×C₄⋊C₄	C₂×#120	1	4	yes	—
1331	C₂×C₄⋊C₄	D₄²	1	2	yes	—
1332	C₂×C₄⋊C₄	D₄²	1	1	yes	characteristic
1333	C₂×C₄⋊C₄	D₄²	1	1	yes	characteristic
1334	C₂×C₄⋊C₄	D₄²	1	2	yes	—
1335	C₂×C₄⋊C₄	D₄²	1	4	yes	—
1336	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1337	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1338	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1339	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1340	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1341	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1342	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1343	C₂×C₄⋊C₄	C₂³×D₄	1	4	yes	—
1344	C₂×C₄⋊C₄	C₂³×D₄	1	2	yes	—
1345	C₂×C₄⋊C₄	C₂³×D₄	1	4	yes	—
1346	C₂×C₄⋊C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1347	C₂×C₄⋊C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1348	C₂×C₄⋊C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1349	C₂×C₂²⋊C₄	D₄²	1	4	yes	—
1350	C₂×C₂²⋊C₄	D₄²	1	4	yes	—
1351	C₂×C₂²⋊C₄	D₄²	1	1	yes	characteristic
1352	C₂×C₂²⋊C₄	D₄²	1	1	yes	characteristic
1353	C₂×C₂²⋊C₄	D₄²	1	1	yes	characteristic
1354	C₂×C₂²⋊C₄	D₄²	1	1	yes	characteristic
1355	C₂×C₂²⋊C₄	D₄²	1	4	yes	—
1356	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1357	C₂×C₂²⋊C₄	C₂³×D₄	1	8	yes	—
1358	C₂×C₂²⋊C₄	C₂³×D₄	1	2	yes	—
1359	C₂×C₂²⋊C₄	C₂³×D₄	1	4	yes	—
1360	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1361	C₂×C₂²⋊C₄	C₂³×D₄	1	1	yes	characteristic
1362	C₂×C₂²⋊C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1363	C₂×C₂²⋊C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1364	C₂×C₂²⋊C₄	C₂×H(5,𝔽₂)	1	4	yes	—
1365	C₂×C₄²	D₄²	1	1	yes	characteristic
1366	C₂×C₄²	D₄²	1	1	yes	characteristic
1367	C₂×C₄²	C₂³×D₄	1	4	yes	—
1368	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1369	C₂×C₄²	C₂³×D₄	1	1	yes	characteristic
1370	#102	C₂×#120	1	2	yes	—
1371	#102	C₂×#120	1	2	yes	—
1372	#102	C₂×#120	1	2	yes	—
1373	#102	C₂×#120	1	2	yes	—
1374	#102	C₂×#120	1	2	yes	—
1375	#102	C₂×#120	1	2	yes	—
1376	#102	C₂×#120	1	2	yes	—
1377	#102	C₂×#120	1	2	yes	—
1378	#102	C₂×#120	1	4	yes	—
1379	#102	C₂×#120	1	4	yes	—
1380	#102	C₂×#120	1	4	yes	—
1381	#102	C₂×#120	1	4	yes	—
1382	#102	C₂×#120	1	4	yes	—
1383	#102	C₂×#120	1	4	yes	—
1384	#102	C₂×#120	1	4	yes	—
1385	#102	C₂×#120	1	4	yes	—
1386	#102	C₂×#120	1	4	yes	—
1387	#102	C₂×#120	1	4	yes	—
1388	#102	C₂×#120	1	4	yes	—
1389	#102	C₂×#120	1	4	yes	—
1390	C₂⁴	C₂×D₄²	1	1	yes	characteristic
1391	C₂⁴	C₂×D₄²	1	2	yes	—
1392	C₂⁴	C₂×D₄²	1	2	yes	—
1393	C₂⁴	C₂×D₄²	1	4	yes	—
1394	C₂⁴	C₂×D₄²	1	1	yes	characteristic
1395	C₂⁴	C₂×D₄²	1	1	yes	characteristic
1396	C₂⁴	C₂×D₄²	1	1	yes	characteristic
1397	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
1398	C₂×D₄	#3025	1	4	yes	complemented
1399	C₂×D₄	C₂²×#120	1	2	yes	—
1400	C₂×D₄	C₂²×#120	1	4	yes	—
1401	C₂×D₄	C₂²×#120	1	2	yes	—
1402	C₂×D₄	#3585	1	4	yes	—
1403	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1404	C₂²×C₄	C₂²×#120	1	2	yes	—
1405	C₂²×C₄	C₂²×#120	1	1	yes	characteristic
1406	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1407	C₂²×C₄	C₂×D₄²	1	4	yes	—
1408	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1409	C₂²×C₄	C₂×D₄²	1	2	yes	—
1410	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1411	C₂²×C₄	C₂×D₄²	1	4	yes	—
1412	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1413	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1414	C₂²×C₄	C₂×D₄²	1	4	yes	—
1415	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1416	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1417	C₂²×C₄	C₂×D₄²	1	1	yes	characteristic
1418	C₂²×C₄	C₂×D₄²	1	2	yes	—
1419	C₂²×C₄	#3484	1	1	yes	characteristic
1420	C₂²×C₄	#3484	1	1	yes	characteristic
1421	C₂²×C₄	#3484	1	2	yes	—
1422	C₂²×C₄	#3484	1	2	yes	—
1423	C₂²×C₄	#3484	1	2	yes	—
1424	C₂²×C₄	#3484	1	2	yes	—
1425	C₂²×C₄	#3484	1	2	yes	—
1426	C₂²×C₄	C₂⁴×D₄	1	2	yes	—
1427	C₂²×C₄	C₂⁴×D₄	1	1	yes	characteristic
1428	C₂²×C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1429	C₂²×C₄	C₂²×H(5,𝔽₂)	1	2	yes	—
1430	C₂×C₈	C₂²×#120	1	1	yes	characteristic
1431	C₂×C₈	C₂²×#120	1	1	yes	characteristic
1432	C₂×C₈	C₂²×#120	1	1	yes	characteristic
1433	C₂×C₈	C₂²×#120	1	1	yes	characteristic
1434	C₂×C₈	C₂²×#120	1	2	yes	—
1435	C₂×C₈	C₂²×#120	1	2	yes	—
1436	C₄⋊C₄	C₂²×#120	1	2	yes	—
1437	C₄⋊C₄	C₂²×#120	1	2	yes	—
1438	C₄⋊C₄	C₂²×#120	1	4	yes	—
1439	C₂³	D₄×#120	1	2	yes	—
1440	C₂³	D₄×#120	1	1	yes	characteristic
1441	C₂³	D₄×#120	1	1	yes	characteristic
1442	C₂³	#61058	1	2	yes	—
1443	C₂³	C₂²×D₄²	1	2	yes	—
1444	C₂³	C₂²×D₄²	1	1	yes	characteristic
1445	C₂³	C₂×#3585	1	2	yes	—
1446	C₂³	#63091	1	2	yes	—
1447	D₄	C₂×#3025	1	4	yes	—
1448	C₂×C₄	D₄×#120	1	1	yes	characteristic
1449	C₂×C₄	D₄×#120	1	2	yes	—
1450	C₂×C₄	D₄×#120	1	1	yes	characteristic
1451	C₂×C₄	C₂×#3025	1	2	yes	—
1452	C₂×C₄	#60401	1	2	yes	—
1453	C₂×C₄	#61058	1	2	yes	—
1454	C₂×C₄	C₂³×#120	1	1	yes	characteristic
1455	C₂×C₄	C₂×#3484	1	2	yes	—
1456	C₂×C₄	C₂×#3484	1	1	yes	characteristic
1457	C₂²	#6573713	1	2	yes	—
1458	C₂²	#6573736	1	2	yes	—
1459	C₂²	C₂×D₄×#120	1	1	yes	characteristic
1460	C₂²	C₂×#61058	1	1	yes	characteristic
1461	C₂²	#10576125	1	1	yes	characteristic
1462	C₂²	#10576147	1	4	yes	—
1463	C₄	#6573713	1	2	yes	—
1464	C₄	C₂×#60401	1	1	yes	characteristic
1465	C₄	C₂²×#3025	1	1	yes	characteristic
1466	C₂	#72249632	1	1	yes	characteristic
1467	C₂	C₂×#6573736	1	1	yes	characteristic
1468	C₂	C₂×#6573713	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂×D₄×#120
commutator, Frattini, cosocle	C₂³×C₄	C₂⁶
LCS	G ▷ C₂³×C₄ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂⁴×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. #72310583	C₂	semidirect
2. #72310582	C₂	semidirect
3. #72310581	C₂	semidirect
4. #72310580	C₂	semidirect
5. #72310579	C₂	semidirect
6. #72310578	C₂	semidirect
7. #72310577	C₂	semidirect
8. #72310576	C₂	semidirect
9. #72310575	C₂	semidirect
10. #72310574	C₂	semidirect
11. #72310573	C₂	semidirect
12. #72310572	C₂	semidirect
13. #72310571	C₂	semidirect
14. #72310570	C₂	semidirect
15. #72310569	C₂	semidirect
16. #72310568	C₂	semidirect
17. #72310567	C₂	semidirect
18. #72310545	C₂	semidirect
19. #72302221	C₂	semidirect
20. #72268441	C₂	semidirect
21. #72268391	C₂	semidirect
22. #72268353	C₂	semidirect
23. #72268352	C₂	semidirect
24. #72268305	C₂	semidirect
25. #72268303	C₂	semidirect
26. #72251191	C₂	semidirect
27. #72240658	C₂	semidirect
28. C₂×#6577212	C₂	semidirect
29. #72238182	C₂	semidirect
32. #10583811	C₂²	semidirect
33. #10583788	C₂²	semidirect
34. #10583787	C₂²	semidirect
35. #10583491	C₂²	semidirect
36. #10583483	C₂²	semidirect
37. #10583479	C₂²	semidirect
47. C₂³×#442	C₂²	semidirect
48. #7630947	C₂²	semidirect
49. #7630942	C₂²	semidirect
50. C₂×#36236	C₂²	semidirect
51. C₂×#36102	C₂²	semidirect
52. #6629729	C₂²	semidirect
53. C₂×#33135	C₂²	semidirect
54. #6629217	C₂²	semidirect
55. #6629217	C₂²	semidirect
56. C₂×#33004	C₂²	semidirect
57. C₂×#33002	C₂²	semidirect
58. #6596185	C₂²	semidirect
59. #6595777	C₂²	semidirect
60. #6591503	C₂²	semidirect
61. #6577272	C₂²	semidirect
62. #6577260	C₂²	semidirect
63. #6577224	C₂²	semidirect
64. #6577212	C₂²	semidirect
65. #6577212	C₂²	semidirect
66. #6577212	C₂²	semidirect
67. #6577212	C₂²	semidirect
68. #6577212	C₂²	semidirect
69. #6573714	C₂²	semidirect
70. #6542237	C₂²	semidirect
71. #6533140	C₂²	semidirect
72. #6524806	C₂²	semidirect
73. #6516837	C₂²	semidirect
74. #6512844	C₂²	semidirect
75. #6512844	C₂²	semidirect
77. #6496264	C₂²	semidirect
79. #6491100	C₂²	semidirect
80. #6459732	C₂²	semidirect
81. C₂×#28341	C₂²	semidirect
82. #6459347	C₂²	semidirect
83. C₂×#28097	C₂²	semidirect
85. #6454042	C₂²	semidirect
86. #6454042	C₂²	semidirect
87. #6453073	C₂²	semidirect
88. C₂×#24581	C₂²	semidirect
89. #6452987	C₂²	semidirect
90. C₂×#24089	C₂²	semidirect
91. #6437664	C₂²	semidirect
92. C₂×#24354	C₂²	semidirect
93. #6437521	C₂²	semidirect
94. C₂×#23848	C₂²	semidirect
95. #6393525	C₂²	semidirect
96. #6393523	C₂²	semidirect
97. #6385973	C₂²	semidirect
98. #6385971	C₂²	semidirect
99. #6379696	C₂²	semidirect
100. C₂×#22562	C₂²	semidirect
101. #6373012	C₂²	semidirect
102. C₂×#21561	C₂²	semidirect
103. #6346775	C₂²	semidirect
104. #6346765	C₂²	semidirect
105. #6346608	C₂²	semidirect
106. #6346599	C₂²	semidirect
107. #348134	C₂²	semidirect
108. #348124	C₂²	semidirect
109. #348114	C₂²	semidirect
110. #348104	C₂²	semidirect
111. #346578	C₂²	semidirect
112. #346550	C₂²	semidirect
113. #346547	C₂²	semidirect
114. #346546	C₂²	semidirect
115. #346519	C₂²	semidirect
116. #346518	C₂²	semidirect
117. #301938	C₂²	semidirect
118. #301935	C₂²	semidirect
119. #301916	C₂²	semidirect
120. #301913	C₂²	semidirect
121. #301913	C₂²	semidirect
122. #301911	C₂²	semidirect
123. #301911	C₂²	semidirect
124. #301884	C₂²	semidirect
125. #301881	C₂²	semidirect
126. #301879	C₂²	semidirect
127. #267450	C₂²	semidirect
128. #267443	C₂²	semidirect
129. #267426	C₂²	semidirect
130. #267426	C₂²	semidirect
131. #267419	C₂²	semidirect
132. #267419	C₂²	semidirect
133. #267418	C₂²	semidirect
134. #267411	C₂²	semidirect
135. #267391	C₂²	semidirect
136. #267390	C₂²	semidirect
137. #267378	C₂²	semidirect
138. #267378	C₂²	semidirect
139. #267371	C₂²	semidirect
140. #267371	C₂²	semidirect
141. #265274	C₂²	semidirect
142. #265274	C₂²	semidirect
143. #265246	C₂²	semidirect
144. #265245	C₂²	semidirect
145. #265245	C₂²	semidirect
146. #265244	C₂²	semidirect
147. #265244	C₂²	semidirect
148. #265243	C₂²	semidirect
149. #265242	C₂²	semidirect
150. #265242	C₂²	semidirect
151. #248588	C₂²	semidirect
152. #248587	C₂²	semidirect
153. #248587	C₂²	semidirect
154. #248567	C₂²	semidirect
155. #248566	C₂²	semidirect
156. #248566	C₂²	semidirect
157. #248493	C₂²	semidirect
158. #248492	C₂²	semidirect
159. #248491	C₂²	semidirect
160. #248491	C₂²	semidirect
161. #248472	C₂²	semidirect
162. #248471	C₂²	semidirect
163. #248470	C₂²	semidirect
164. #248470	C₂²	semidirect
165. #239383	C₂²	semidirect
166. #239383	C₂²	semidirect
167. #239354	C₂²	semidirect
168. #235105	C₂²	semidirect
169. #235099	C₂²	semidirect
170. #235085	C₂²	semidirect
171. #235079	C₂²	semidirect
172. #235061	C₂²	semidirect
173. #235055	C₂²	semidirect
174. #234327	C₂²	semidirect
175. #234327	C₂²	semidirect
176. #234284	C₂²	semidirect
177. #220286	C₂²	semidirect
178. #220286	C₂²	semidirect
179. #220270	C₂²	semidirect
180. #220268	C₂²	semidirect
181. #220252	C₂²	semidirect
182. #220250	C₂²	semidirect
183. #220250	C₂²	semidirect
184. #220250	C₂²	semidirect
185. #208831	C₂²	semidirect
186. #208829	C₂²	semidirect
187. #208815	C₂²	semidirect
188. #208813	C₂²	semidirect
189. #205760	C₂²	semidirect
190. #205751	C₂²	semidirect
191. #205750	C₂²	semidirect
192. #201397	C₂²	semidirect
193. #201395	C₂²	semidirect
194. #201388	C₂²	semidirect
195. #201386	C₂²	semidirect
196. #198464	C₂²	semidirect
197. #198463	C₂²	semidirect
198. #198433	C₂²	semidirect
199. #198432	C₂²	semidirect
200. #198405	C₂²	semidirect
201. #198404	C₂²	semidirect
202. #193899	C₂²	semidirect
203. #193893	C₂²	semidirect
204. #192050	C₂²	semidirect
205. #192042	C₂²	semidirect
206. #189531	C₂²	semidirect
207. #188806	C₂²	semidirect
208. #185684	C₂²	semidirect
209. #185683	C₂²	semidirect
210. #185644	C₂²	semidirect
211. #185643	C₂²	semidirect
212. #185363	C₂²	semidirect
213. #185363	C₂²	semidirect
214. #185329	C₂²	semidirect
215. #185329	C₂²	semidirect
217. #182080	C₂²	semidirect
218. #182076	C₂²	semidirect
236. C₂³×C₄×D₄	C₂³	semidirect
261. C₂×#3318	D₄	semidirect
263. C₂×#3314	D₄	semidirect
265. C₂×#3297	D₄	semidirect
267. C₂×#3295	D₄	semidirect
268. C₂×#3294	D₄	semidirect
269. C₂×#3294	D₄	semidirect
270. C₂×#3294	D₄	semidirect
271. C₂×#3294	D₄	semidirect
280. C₂×#3136	D₄	semidirect
281. C₂²×#486	D₄	semidirect
282. C₂×#3096	D₄	semidirect
284. C₂×#3092	C₂³	semidirect
285. C₂²×#481	C₂³	semidirect
286. C₂²×#480	D₄	semidirect
288. C₂×#3081	D₄	semidirect
289. C₂²×#474	D₄	semidirect
290. C₂×#3062	D₄	semidirect
292. C₂²×#466	D₄	semidirect
294. C₂×#3045	D₄	semidirect
295. C₂²×#459	D₄	semidirect
296. C₂×#3012	D₄	semidirect
299. C₂²×#447	D₄	semidirect
308. C₂×#2946	D₄	semidirect
309. C₂²×#442	C₂³	semidirect
310. C₂²×#442	C₂³	semidirect
311. C₂²×C₄×D₈	D₄	semidirect
314. C₂³×#106	C₂³	semidirect
315. C₂×#2897	D₄	semidirect
316. C₂³×#102	D₄	semidirect
318. C₂³×#102	C₂³	semidirect
319. C₂³×#97	C₂³	semidirect
322. #36626	C₂³	semidirect
324. C₂×#2854	C₂³	semidirect
329. #36162	C₂³	semidirect
331. #36102	C₂³	semidirect
332. #36102	C₂³	semidirect
336. #35222	C₂³	semidirect
339. C₂×#2433	C₂³	semidirect
341. #34178	C₂³	semidirect
343. C₂×#2344	C₂³	semidirect
346. #33136	C₂³	semidirect
347. #33135	C₂³	semidirect
348. #33135	C₂³	semidirect
349. #33135	C₂³	semidirect
350. #33134	C₂³	semidirect
351. #33134	C₂³	semidirect
352. #33009	C₂³	semidirect
353. #33007	C₂³	semidirect
354. #33004	C₂³	semidirect
355. #33004	C₂³	semidirect
356. #33004	C₂³	semidirect
357. #33002	C₂³	semidirect
358. #33002	C₂³	semidirect
359. #33002	C₂³	semidirect
364. #28342	C₂³	semidirect
365. #28341	C₂³	semidirect
366. #28341	C₂³	semidirect
367. #28341	C₂³	semidirect
368. #28332	C₂³	semidirect
369. #28331	C₂³	semidirect
370. #28104	C₂³	semidirect
373. #28097	C₂³	semidirect
374. #28097	C₂³	semidirect
375. #28097	C₂³	semidirect
381. #25771	C₂³	semidirect
384. #25585	C₂³	semidirect
385. #25585	C₂³	semidirect
386. #24581	C₂³	semidirect
387. #24581	C₂³	semidirect
388. #24581	C₂³	semidirect
389. #24580	C₂³	semidirect
390. #24355	C₂³	semidirect
391. #24354	C₂³	semidirect
392. #24354	C₂³	semidirect
393. #24354	C₂³	semidirect
401. #24261	C₂³	semidirect
405. #24141	C₂³	semidirect
406. #24141	C₂³	semidirect
408. #24095	C₂³	semidirect
410. #24089	C₂³	semidirect
411. #24089	C₂³	semidirect
420. #22570	C₂³	semidirect
421. #22562	C₂³	semidirect
422. #22562	C₂³	semidirect
423. #22562	C₂³	semidirect
424. #22478	C₂³	semidirect
427. #22406	C₂³	semidirect
428. #22406	C₂³	semidirect
435. #21874	C₂³	semidirect
437. #21793	C₂³	semidirect
438. #21564	C₂³	semidirect
441. #21561	C₂³	semidirect
442. #21561	C₂³	semidirect
443. #21561	C₂³	semidirect
447. #21420	C₂³	semidirect
449. #20967	C₂³	semidirect
451. C₂×#1893	C₂³	semidirect
454. #20834	C₂³	semidirect
455. C₂×#1850	C₂³	semidirect
459. #20700	C₂³	semidirect
460. #20700	C₂³	semidirect
461. C₂×#1824	C₂³	semidirect
462. C₂×#1823	C₂³	semidirect
463. #20682	C₂³	semidirect
464. C₂×#1817	C₂³	semidirect
465. #20658	C₂³	semidirect
466. C₂×#1807	C₂³	semidirect
468. #20598	C₂³	semidirect
470. C₂×#1786	C₂³	semidirect
471. #20385	C₂³	semidirect
472. C₂×#1752	C₂³	semidirect
473. #18207	C₂³	semidirect
474. #18207	C₂³	semidirect
477. #18203	C₂³	semidirect
484. #17592	C₂³	semidirect
486. #17577	C₂³	semidirect
488. #17572	C₂³	semidirect
491. #10566	C₂³	semidirect
492. #10565	C₂³	semidirect
493. #10565	C₂³	semidirect
494. #10565	C₂³	semidirect
495. #10565	C₂³	semidirect
496. #10564	C₂³	semidirect
497. #10564	C₂³	semidirect
498. #10564	C₂³	semidirect
499. #10325	C₂³	semidirect
500. #10323	C₂³	semidirect
501. #10323	C₂³	semidirect
502. #10323	C₂³	semidirect
503. #10323	C₂³	semidirect
504. #10321	C₂³	semidirect
505. #10321	C₂³	semidirect
506. #10321	C₂³	semidirect
507. #9959	C₂³	semidirect
508. #9958	C₂³	semidirect
509. #9958	C₂³	semidirect
510. #9955	C₂³	semidirect
511. #9954	C₂³	semidirect
512. #9954	C₂³	semidirect
513. #9951	C₂³	semidirect
514. #9951	C₂³	semidirect
515. #9950	C₂³	semidirect
516. #9950	C₂³	semidirect
517. #9950	C₂³	semidirect
518. #9947	C₂³	semidirect
519. #9947	C₂³	semidirect
520. #9946	C₂³	semidirect
521. #9946	C₂³	semidirect
522. #9946	C₂³	semidirect
523. #9786	C₂³	semidirect
524. #9786	C₂³	semidirect
525. #9785	C₂³	semidirect
526. #9785	C₂³	semidirect
527. #9785	C₂³	semidirect
528. #9784	C₂³	semidirect
529. #9784	C₂³	semidirect
530. #9783	C₂³	semidirect
531. #9781	C₂³	semidirect
532. #9781	C₂³	semidirect
533. #9473	C₂³	semidirect
534. #9473	C₂³	semidirect
535. #9472	C₂³	semidirect
536. #9472	C₂³	semidirect
538. #9469	C₂³	semidirect
540. #9468	C₂³	semidirect
541. #9260	C₂³	semidirect
542. #9260	C₂³	semidirect
543. #9260	C₂³	semidirect
544. #9260	C₂³	semidirect
545. #9259	C₂³	semidirect
546. #9259	C₂³	semidirect
547. #9259	C₂³	semidirect
548. #9259	C₂³	semidirect
549. #9256	C₂³	semidirect
550. #9256	C₂³	semidirect
551. #9255	C₂³	semidirect
552. #9255	C₂³	semidirect
553. #8968	C₂³	semidirect
554. #8968	C₂³	semidirect
556. #8966	C₂³	semidirect
557. #8852	C₂³	semidirect
558. #8852	C₂³	semidirect
560. #8851	C₂³	semidirect
561. #8610	C₂³	semidirect
563. #8609	C₂³	semidirect
565. #8608	C₂³	semidirect
566. #8608	C₂³	semidirect
567. #8382	C₂³	semidirect
570. #8376	C₂³	semidirect
571. #8376	C₂³	semidirect
577. #8352	C₂³	semidirect
578. #8352	C₂³	semidirect
584. #8350	C₂³	semidirect
587. #8161	C₂³	semidirect
589. #8160	C₂³	semidirect
590. #8160	C₂³	semidirect
592. C₈×#99	C₂³	semidirect
593. #7983	C₂³	semidirect
594. #7983	C₂³	semidirect
595. #7982	C₂³	semidirect
596. #7929	C₂³	semidirect
597. #7927	C₂³	semidirect
598. #7925	C₂³	semidirect
681. C₂×#490	C₂×D₄	semidirect
682. C₂×#489	C₂×D₄	semidirect
683. C₂×#488	C₂×D₄	semidirect
688. C₂×#486	C₂×D₄	semidirect
692. C₂×#481	C₂×D₄	semidirect
695. C₂×#482	C₂×D₄	semidirect
696. C₂×#482	C₂×D₄	semidirect
704. C₂×#480	C₂×D₄	semidirect
708. C₂×#478	C₂×D₄	semidirect
709. C₂×#478	C₂×D₄	semidirect
710. C₂×#476	C₂×D₄	semidirect
715. C₂×#474	C₂×D₄	semidirect
716. C₂×#469	C₂×D₄	semidirect
717. C₂×#468	C₂×D₄	semidirect
727. C₂×#466	C₂×D₄	semidirect
733. C₂×#465	C₂×D₄	semidirect
736. C₂×#464	C₂×D₄	semidirect
737. C₂×#460	C₂×D₄	semidirect
738. C₂×#463	C₂×D₄	semidirect
743. C₂×#459	C₂×D₄	semidirect
745. C₂×#452	C₂×D₄	semidirect
746. C₂×#449	C₂×D₄	semidirect
748. C₂×#450	C₂×D₄	semidirect
758. C₂×#447	C₂×D₄	semidirect
768. C₂×#442	C₂×D₄	semidirect
769. C₂×#440	C₂×D₄	semidirect
770. C₂×C₄×SD₁₆	C₂×D₄	semidirect
775. C₂×C₄×D₈	C₂×D₄	semidirect
799. C₂×#417	C₂×D₄	semidirect
802. C₂×#418	C₂×D₄	semidirect
805. C₂×#416	C₂×D₄	semidirect
828. C₂²×#102	C₂×D₄	semidirect
1398. C₂×D₄	#3025	semidirect

Maximal subgroups

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

subgroup	index
#72310583	2
#72310582	2
#72310581	2
#72310580	2
#72310579	2
#72310578	2
#72310577	2
#72310576	2
#72310575	2
#72310574	2
#72310573	2
#72310572	2
#72310571	2
#72310570	2
#72310569	2
#72310568	2
#72310567	2
#72310545	2
#72302221	2
#72268441	2
#72268391	2
#72268353	2
#72268352	2
#72268305	2
#72268303	2
#72251191	2
#72240658	2
C₂×#6577212	2
#72238182	2