Subgroups — #72338583

Order 2048.

Only the 32262 normal subgroups are shown; non-normal subgroups are omitted.

The subgroup lattice has 986 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72338582	C₂	1	2	yes	maximal, complemented
2	#72338581	C₂	1	12	yes	maximal, complemented
3	#72338580	C₂	1	2	yes	maximal, complemented
4	#72338578	C₂	1	1	yes	maximal, characteristic, complemented
5	#72319204	C₂	1	4	yes	maximal, complemented
6	#72319063	C₂	1	4	yes	maximal, complemented
7	#72319030	C₂	1	4	yes	maximal, complemented
8	#72317757	C₂	1	24	yes	maximal, complemented
9	#72307055	C₂	1	2	yes	maximal, complemented
10	#72307042	C₂	1	2	yes	maximal, complemented
11	#72306954	C₂	1	12	yes	maximal, complemented
12	#72306939	C₂	1	1	yes	maximal, characteristic, complemented
13	#72306905	C₂	1	2	yes	maximal, complemented
14	#72279606	C₂	1	12	yes	maximal, complemented
15	#72252020	C₂	1	2	yes	maximal, complemented
16	C₂×#7487865	C₂	1	12	yes	maximal, complemented
17	#72233774	C₂	1	4	yes	maximal, complemented
18	#72216138	C₂	1	1	yes	maximal, characteristic, complemented
19	#72215721	C₂	1	24	yes	maximal, complemented
20	#10586999	C₂²	1	4	yes	complemented
21	#10586066	C₂²	1	2	yes	complemented
22	#10585995	C₂²	1	1	yes	characteristic, complemented
23	C₂²×#3498	C₂²	1	1	yes	characteristic, complemented
24	#10576178	C₂²	1	24	yes	complemented
25	#10576177	C₂²	1	12	yes	complemented
26	C₂×#61110	C₂²	1	12	yes	complemented
27	#10575560	C₂²	1	12	yes	complemented
28	#10575552	C₂²	1	6	yes	complemented
29	#10575552	C₂²	1	6	yes	complemented
30	#10575547	C₂²	1	12	yes	complemented
31	#10575509	C₂²	1	6	yes	complemented
32	C₂×#60798	C₂²	1	6	yes	complemented
33	#10575254	C₂²	1	1	yes	characteristic
34	#10575254	C₂²	1	1	yes	characteristic, complemented
35	#10575219	C₂²	1	1	yes	characteristic, complemented
36	#10575219	C₂²	1	1	yes	characteristic, complemented
37	#10574963	C₂²	1	4	yes	complemented
38	#10574921	C₂²	1	4	yes	complemented
39	#10574921	C₂²	1	4	yes	complemented
40	#10574874	C₂²	1	2	yes	complemented
41	#10574854	C₂²	1	2	yes	complemented
42	#10574846	C₂²	1	4	yes	complemented
43	#10574840	C₂²	1	4	yes	complemented
44	#10574840	C₂²	1	4	yes	complemented
45	C₂×#60388	C₂²	1	2	yes	—
46	C₂×#60388	C₂²	1	2	yes	complemented
47	#10574173	C₂²	1	2	yes	complemented
48	#10574126	C₂²	1	1	yes	characteristic, complemented
49	#10574065	C₂²	1	2	yes	complemented
50	#7504669	C₂²	1	48	yes	complemented
51	#7504667	C₂²	1	48	yes	complemented
52	#7504666	C₂²	1	48	yes	complemented
53	C₂×#31414	C₂²	1	48	yes	complemented
54	#7504294	C₂²	1	24	yes	complemented
55	#7504292	C₂²	1	24	yes	complemented
56	#7504291	C₂²	1	24	yes	complemented
57	C₂×#31282	C₂²	1	24	yes	complemented
58	#7500919	C₂²	1	48	yes	complemented
59	#7500918	C₂²	1	24	yes	complemented
60	C₂×#30496	C₂²	1	24	yes	complemented
61	#7500748	C₂²	1	48	yes	complemented
62	#7500748	C₂²	1	48	yes	complemented
63	#7500747	C₂²	1	48	yes	complemented
64	C₂×#30434	C₂²	1	48	yes	complemented
65	#7487873	C₂²	1	192	yes	complemented
66	#7487871	C₂²	1	192	yes	complemented
67	#7487869	C₂²	1	96	yes	complemented
68	#7487868	C₂²	1	96	yes	complemented
69	#7487867	C₂²	1	48	yes	complemented
70	#7487866	C₂²	1	48	yes	complemented
71	#7487865	C₂²	1	96	yes	complemented
72	#7487865	C₂²	1	48	yes	complemented
73	#7487865	C₂²	1	96	yes	complemented
74	#7487865	C₂²	1	96	yes	complemented
75	#7487864	C₂²	1	16	yes	complemented
76	#6461519	C₂²	1	24	yes	complemented
77	#6461447	C₂²	1	24	yes	complemented
78	#6461446	C₂²	1	24	yes	complemented
79	C₂×#29384	C₂²	1	24	yes	complemented
80	#6451777	C₂²	1	24	yes	complemented
81	#6451776	C₂²	1	24	yes	complemented
82	#6451775	C₂²	1	24	yes	complemented
83	C₂×#23994	C₂²	1	24	yes	complemented
84	#6437952	C₂²	1	48	yes	complemented
85	#6437950	C₂²	1	48	yes	complemented
86	#6437949	C₂²	1	48	yes	complemented
87	C₂×#24472	C₂²	1	48	yes	complemented
88	#6437578	C₂²	1	48	yes	complemented
89	#6437576	C₂²	1	48	yes	complemented
90	#6437575	C₂²	1	48	yes	complemented
91	C₂×#23882	C₂²	1	48	yes	complemented
92	#6437456	C₂²	1	12	yes	complemented
93	#6437456	C₂²	1	12	yes	complemented
94	#6437452	C₂²	1	12	yes	complemented
95	#6437452	C₂²	1	12	yes	complemented
96	#6437449	C₂²	1	12	yes	complemented
97	#6437445	C₂²	1	12	yes	complemented
98	#6437437	C₂²	1	12	yes	complemented
99	C₂×#23906	C₂²	1	12	yes	complemented
100	#6434130	C₂²	1	48	yes	complemented
101	#6434129	C₂²	1	24	yes	complemented
102	C₂×#30057	C₂²	1	24	yes	complemented
103	#6432446	C₂²	1	2	yes	complemented
104	#6432399	C₂²	1	2	yes	complemented
105	#6432197	C₂²	1	4	yes	complemented
106	#6432197	C₂²	1	4	yes	complemented
107	#6431937	C₂²	1	2	yes	complemented
108	#6431933	C₂²	1	4	yes	complemented
109	#6431933	C₂²	1	4	yes	complemented
110	#6431843	C₂²	1	4	yes	complemented
111	#6431743	C₂²	1	2	yes	—
112	#6431743	C₂²	1	4	yes	complemented
113	#6431739	C₂²	1	4	yes	complemented
114	#6431739	C₂²	1	4	yes	complemented
115	#6431723	C₂²	1	4	yes	complemented
116	#6431723	C₂²	1	4	yes	complemented
117	#6407636	C₂²	1	24	yes	complemented
118	#6407634	C₂²	1	12	yes	complemented
119	C₂×#23361	C₂²	1	12	yes	complemented
120	#6371674	C₂²	1	4	yes	complemented
121	#6371562	C₂²	1	4	yes	complemented
122	#6371562	C₂²	1	2	yes	complemented
123	#6371543	C₂²	1	4	yes	complemented
124	#6371529	C₂²	1	4	yes	complemented
125	#6371525	C₂²	1	4	yes	complemented
126	#6371525	C₂²	1	4	yes	complemented
127	#6371521	C₂²	1	4	yes	complemented
128	#6371521	C₂²	1	4	yes	complemented
129	#6371495	C₂²	1	4	yes	complemented
130	#6371456	C₂²	1	2	yes	complemented
131	#6371456	C₂²	1	2	yes	complemented
132	#6371444	C₂²	1	2	yes	complemented
133	#6371303	C₂²	1	4	yes	complemented
134	#6371071	C₂²	1	2	yes	complemented
135	#6370894	C₂²	1	2	yes	complemented
136	#6370755	C₂²	1	4	yes	complemented
137	#6370704	C₂²	1	2	yes	complemented
138	#63103	C₂³	1	2	yes	—
139	C₂×H(7,𝔽₂)	C₂³	1	2	yes	—
140	C₂³×H(5,𝔽₂)	C₂³	1	2	yes	—
141	#63090	C₂³	1	4	yes	—
142	#63090	C₂³	1	2	yes	—
143	#63090	C₂³	1	48	yes	complemented
144	C₂×#3585	C₂³	1	4	yes	—
145	C₂×#3585	C₂³	1	4	yes	—
146	C₂×#3585	C₂³	1	4	yes	—
147	C₂×#3585	C₂³	1	4	yes	—
148	C₂×#3585	C₂³	1	48	yes	complemented
149	#63076	C₂³	1	2	yes	—
150	#63076	C₂³	1	4	yes	—
151	#62852	C₂³	1	4	yes	—
152	#62852	C₂³	1	12	yes	complemented
153	#62842	C₂³	1	12	yes	complemented
154	#62815	C₂³	1	6	yes	complemented
155	#62814	C₂³	1	6	yes	complemented
156	#62813	C₂³	1	1	yes	characteristic
157	#62812	C₂³	1	1	yes	characteristic
158	#62811	C₂³	1	2	yes	—
159	#62811	C₂³	1	4	yes	—
160	#62811	C₂³	1	12	yes	complemented
161	C₂×#3498	C₂³	1	2	yes	—
162	C₂×#3498	C₂³	1	1	yes	characteristic
163	C₂×#3498	C₂³	1	1	yes	characteristic
164	C₂×#3498	C₂³	1	3	yes	complemented
165	C₂×#3498	C₂³	1	6	yes	complemented
166	C₂×#3498	C₂³	1	3	yes	complemented
167	C₂×#3484	C₂³	1	12	yes	complemented
168	#62686	C₂³	1	6	yes	complemented
169	C₂²×#535	C₂³	1	6	yes	complemented
170	C₂×#3444	C₂³	1	6	yes	complemented
171	C₂²×#532	C₂³	1	3	yes	complemented
172	C₂³×#127	C₂³	1	3	yes	complemented
173	#62652	C₂³	1	2	yes	—
174	C₄×#585	C₂³	1	2	yes	—
175	C₂²×C₄×#41	C₂³	1	1	yes	characteristic
176	#61111	C₂³	1	16	yes	complemented
177	#61110	C₂³	1	48	yes	complemented
178	#61110	C₂³	1	96	yes	complemented
179	#61109	C₂³	1	96	yes	complemented
180	#60806	C₂³	1	48	yes	complemented
181	#60806	C₂³	1	48	yes	complemented
182	#60802	C₂³	1	24	yes	complemented
183	#60801	C₂³	1	12	yes	complemented
184	#60801	C₂³	1	12	yes	complemented
185	#60800	C₂³	1	4	yes	complemented
186	#60799	C₂³	1	24	yes	complemented
187	#60798	C₂³	1	12	yes	complemented
188	#60798	C₂³	1	24	yes	complemented
189	#60798	C₂³	1	24	yes	complemented
190	#60798	C₂³	1	24	yes	complemented
191	#60650	D₄	1	16	yes	complemented
192	#60647	D₄	1	8	yes	complemented
193	#60646	D₄	1	8	yes	complemented
194	#60644	C₂³	1	12	yes	—
195	#60644	C₂³	1	12	yes	complemented
196	#60639	C₂³	1	6	yes	—
197	#60639	C₂³	1	6	yes	complemented
198	C₂×#3151	C₂³	1	6	yes	—
199	C₂×#3151	C₂³	1	6	yes	complemented
200	#60619	C₂³	1	12	yes	complemented
201	#60619	C₂³	1	12	yes	complemented
202	#60618	C₂³	1	6	yes	complemented
203	#60618	C₂³	1	6	yes	complemented
204	C₂×#3138	C₂³	1	6	yes	complemented
205	C₂×#3138	C₂³	1	6	yes	complemented
206	#60469	C₂³	1	48	yes	complemented
207	#60469	C₂³	1	48	yes	complemented
208	C₂×#3068	C₂³	1	48	yes	complemented
209	C₂×#3068	C₂³	1	48	yes	complemented
210	#60426	C₂³	1	24	yes	complemented
211	#60426	C₂³	1	24	yes	complemented
212	#60415	C₂³	1	24	yes	complemented
213	C₂×#3038	C₂³	1	24	yes	complemented
214	#60398	C₂³	1	24	yes	complemented
215	C₂×#3025	C₂³	1	24	yes	complemented
216	#60387	C₂³	1	24	yes	complemented
217	#60387	C₂³	1	48	yes	complemented
218	C₂×#3021	C₂³	1	12	yes	—
219	C₂×#3021	C₂³	1	12	yes	complemented
220	C₂×#3021	C₂³	1	48	yes	complemented
221	C₂×#3019	C₂³	1	12	yes	—
222	C₂×#3019	C₂³	1	12	yes	complemented
223	C₂×#3018	C₂³	1	12	yes	—
224	C₂×#3018	C₂³	1	12	yes	complemented
225	C₂×#3018	C₂³	1	24	yes	complemented
226	C₂²×#453	C₂³	1	12	yes	—
227	C₂²×#453	C₂³	1	12	yes	complemented
228	#60367	C₂³	1	24	yes	complemented
229	#60367	C₂³	1	24	yes	complemented
230	#60367	C₂³	1	24	yes	complemented
231	#60367	C₂³	1	24	yes	complemented
232	#60359	C₂³	1	24	yes	complemented
233	#60359	C₂³	1	24	yes	complemented
234	C₂×#3003	C₂³	1	24	yes	complemented
235	C₂×#3003	C₂³	1	24	yes	complemented
236	#60182	C₂³	1	24	yes	complemented
237	C₂×#2956	C₂³	1	24	yes	complemented
238	#60125	C₂³	1	6	yes	complemented
239	#60124	C₂³	1	6	yes	complemented
240	#60123	C₂³	1	6	yes	complemented
241	C₂×#2920	C₂³	1	6	yes	complemented
242	#60113	C₂³	1	2	yes	—
243	#60113	C₂³	1	4	yes	—
244	#60099	C₂³	1	2	yes	—
245	#60093	C₂³	1	4	yes	—
246	#60093	C₂³	1	4	yes	—
247	#60093	C₂³	1	4	yes	—
248	#60093	C₂³	1	24	yes	complemented
249	C₂×#2901	C₂³	1	4	yes	—
250	C₂×#2901	C₂³	1	4	yes	—
251	C₂×#2901	C₂³	1	24	yes	complemented
252	#60087	C₂³	1	4	yes	—
253	#60087	C₂³	1	4	yes	—
254	#60087	C₂³	1	4	yes	—
255	#60087	C₂³	1	4	yes	—
256	#60076	C₂³	1	2	yes	—
257	#60076	C₂³	1	4	yes	—
258	C₂×#2888	C₂³	1	2	yes	—
259	C₂×#2888	C₂³	1	4	yes	—
260	C₂×#2888	C₂³	1	2	yes	—
261	#60070	C₂³	1	2	yes	—
262	#60070	C₂³	1	4	yes	—
263	#60064	C₂³	1	2	yes	—
264	#60064	C₂³	1	4	yes	—
265	C₄×#568	C₂³	1	1	yes	characteristic
266	C₄×#568	C₂³	1	1	yes	characteristic
267	#31417	C₂³	1	192	yes	complemented
268	#31416	C₂³	1	64	yes	complemented
269	#31415	C₂³	1	192	yes	complemented
270	#31414	C₂³	1	192	yes	complemented
271	#31414	C₂³	1	384	yes	complemented
272	#31285	C₂³	1	32	yes	complemented
273	#31284	C₂³	1	96	yes	complemented
274	#31283	C₂³	1	96	yes	complemented
275	#31282	C₂³	1	96	yes	complemented
276	#31282	C₂³	1	192	yes	complemented
277	#30498	C₂³	1	192	yes	complemented
278	#30497	C₂³	1	32	yes	complemented
279	#30496	C₂³	1	96	yes	complemented
280	#30496	C₂³	1	192	yes	complemented
281	#30436	C₂³	1	192	yes	complemented
282	#30436	C₂³	1	192	yes	complemented
283	#30435	C₂³	1	64	yes	complemented
284	#30434	C₂³	1	192	yes	complemented
285	#30434	C₂³	1	384	yes	complemented
286	#30058	C₂³	1	32	yes	complemented
287	#30057	C₂³	1	96	yes	complemented
288	#30057	C₂³	1	192	yes	complemented
289	#30056	C₂³	1	192	yes	complemented
290	#29385	C₂³	1	192	yes	complemented
291	#29384	C₂³	1	32	yes	complemented
292	#29384	C₂³	1	96	yes	complemented
293	#29384	C₂³	1	96	yes	complemented
294	#29384	C₂³	1	96	yes	complemented
295	#24475	C₂³	1	192	yes	complemented
296	#24474	C₂³	1	64	yes	complemented
297	#24473	C₂³	1	192	yes	complemented
298	#24472	C₂³	1	192	yes	complemented
299	#24472	C₂³	1	384	yes	complemented
300	#23995	C₂³	1	192	yes	complemented
301	#23994	C₂³	1	32	yes	complemented
302	#23994	C₂³	1	96	yes	complemented
303	#23994	C₂³	1	96	yes	complemented
304	#23994	C₂³	1	96	yes	complemented
305	#23915	C₂³	1	48	yes	complemented
306	#23913	C₂³	1	48	yes	complemented
307	#23912	C₂³	1	48	yes	complemented
308	#23912	C₂³	1	48	yes	complemented
309	#23911	C₂³	1	8	yes	complemented
310	#23910	C₂³	1	24	yes	complemented
311	#23909	C₂³	1	24	yes	complemented
312	#23909	C₂³	1	24	yes	complemented
313	#23908	C₂³	1	24	yes	complemented
314	#23908	C₂³	1	24	yes	complemented
315	#23907	C₂³	1	24	yes	complemented
316	#23906	C₂³	1	24	yes	complemented
317	#23906	C₂³	1	48	yes	complemented
318	#23906	C₂³	1	48	yes	complemented
319	#23906	C₂³	1	48	yes	complemented
320	#23885	C₂³	1	64	yes	complemented
321	#23884	C₂³	1	192	yes	complemented
322	#23883	C₂³	1	192	yes	complemented
323	#23882	C₂³	1	192	yes	complemented
324	#23882	C₂³	1	384	yes	complemented
325	#23751	C₂³	1	24	yes	complemented
326	C₂×#2102	C₂³	1	24	yes	complemented
327	#23723	C₂³	1	24	yes	complemented
328	C₂×#2091	C₂³	1	24	yes	complemented
329	#23652	C₂³	1	48	yes	complemented
330	#23652	C₂³	1	48	yes	complemented
331	C₂×#2081	C₂³	1	48	yes	complemented
332	C₂×#2081	C₂³	1	48	yes	complemented
333	#23527	C₂³	1	24	yes	complemented
334	C₂×#2050	C₂³	1	24	yes	complemented
335	#23525	C₂³	1	48	yes	complemented
336	#23525	C₂³	1	48	yes	complemented
337	C₂×#2048	C₂³	1	48	yes	complemented
338	C₂×#2048	C₂³	1	48	yes	complemented
339	#23472	C₂³	1	48	yes	complemented
340	C₂×#2031	C₂³	1	48	yes	complemented
341	#23414	C₂³	1	24	yes	—
342	#23414	C₂³	1	48	yes	complemented
343	C₂×#2010	C₂³	1	24	yes	—
344	C₂×#2010	C₂³	1	48	yes	complemented
345	#23412	C₂³	1	48	yes	complemented
346	#23412	C₂³	1	48	yes	complemented
347	C₂×#2008	C₂³	1	48	yes	complemented
348	C₂×#2008	C₂³	1	48	yes	complemented
349	#23402	C₂³	1	24	yes	complemented
350	#23402	C₂³	1	24	yes	complemented
351	#23400	C₂³	1	24	yes	complemented
352	#23400	C₂³	1	24	yes	complemented
353	#23399	C₂³	1	24	yes	complemented
354	#23399	C₂³	1	24	yes	complemented
355	C₂×#2002	C₂³	1	24	yes	complemented
356	C₂×#2002	C₂³	1	24	yes	complemented
357	#23362	C₂³	1	96	yes	complemented
358	#23361	C₂³	1	48	yes	complemented
359	#23361	C₂³	1	96	yes	complemented
360	#23360	C₂³	1	16	yes	complemented
361	#21080	C₂³	1	48	yes	complemented
362	C₂×#1932	C₂³	1	48	yes	complemented
363	#21009	C₂³	1	48	yes	complemented
364	C₂×#1910	C₂³	1	48	yes	complemented
365	#21000	C₂³	1	48	yes	complemented
366	C₂×#1906	C₂³	1	48	yes	complemented
367	#20998	C₂³	1	48	yes	complemented
368	#20998	C₂³	1	48	yes	complemented
369	C₂×#1904	C₂³	1	48	yes	complemented
370	C₂×#1904	C₂³	1	48	yes	complemented
371	#20995	C₂³	1	48	yes	complemented
372	#20995	C₂³	1	48	yes	complemented
373	C₂×#1903	C₂³	1	48	yes	complemented
374	C₂×#1903	C₂³	1	48	yes	complemented
375	#20980	C₂³	1	24	yes	complemented
376	#20980	C₂³	1	24	yes	complemented
377	#20979	C₂³	1	24	yes	complemented
378	C₂×#1896	C₂³	1	24	yes	complemented
379	#20964	C₂³	1	48	yes	complemented
380	#20964	C₂³	1	24	yes	complemented
381	C₂×#1891	C₂³	1	48	yes	complemented
382	C₂×#1891	C₂³	1	24	yes	complemented
383	#20956	C₂³	1	12	yes	complemented
384	#20956	C₂³	1	12	yes	complemented
385	#20953	C₂³	1	12	yes	complemented
386	#20953	C₂³	1	12	yes	complemented
387	#20952	C₂³	1	12	yes	complemented
388	#20952	C₂³	1	12	yes	complemented
389	C₂×#1887	C₂³	1	12	yes	complemented
390	C₂×#1887	C₂³	1	12	yes	complemented
391	#20947	C₂³	1	24	yes	complemented
392	C₂×#1884	C₂³	1	24	yes	complemented
393	#20867	C₂³	1	48	yes	complemented
394	C₂×#1861	C₂³	1	48	yes	complemented
395	#20776	C₂³	1	24	yes	complemented
396	C₂×#1841	C₂³	1	24	yes	complemented
397	#20708	C₂³	1	24	yes	complemented
398	C₂×#1827	C₂³	1	24	yes	complemented
399	#20623	C₂³	1	48	yes	complemented
400	C₂×#1795	C₂³	1	48	yes	complemented
401	#20592	C₂³	1	12	yes	complemented
402	#20592	C₂³	1	12	yes	complemented
403	#20591	C₂³	1	12	yes	complemented
404	C₂×#1783	C₂³	1	12	yes	complemented
405	#20360	C₂³	1	4	yes	—
406	#20360	C₂³	1	4	yes	—
407	#20360	C₂³	1	4	yes	—
408	#20343	C₂³	1	4	yes	—
409	#20343	C₂³	1	4	yes	—
410	#20340	C₂³	1	2	yes	—
411	#20338	C₂³	1	4	yes	—
412	#20338	C₂³	1	2	yes	—
413	C₂×#585	C₂⁴	1	2	yes	—
414	C₂×#585	C₂⁴	1	4	yes	—
415	C₂×#585	C₂⁴	1	12	yes	—
416	C₂×#585	C₂⁴	1	24	yes	—
417	C₂²×H(5,𝔽₂)	C₂⁴	1	6	yes	—
418	C₂²×H(5,𝔽₂)	C₂⁴	1	6	yes	—
419	C₂²×H(5,𝔽₂)	C₂⁴	1	2	yes	—
420	C₂²×H(5,𝔽₂)	C₂⁴	1	2	yes	—
421	C₂²×H(5,𝔽₂)	C₂⁴	1	12	yes	—
422	C₂³×#41	C₂⁴	1	1	yes	characteristic
423	C₂³×#41	C₂⁴	1	6	yes	—
424	C₂⁴×D₄	C₂⁴	1	6	yes	—
425	#3586	C₂⁴	1	64	yes	—
426	#3585	C₂⁴	1	192	yes	—
427	C₂×#577	C₂×D₄	1	32	yes	complemented
428	C₂×#576	C₂×D₄	1	32	yes	complemented
429	C₂×#575	C₂⁴	1	24	yes	—
430	C₂×#575	C₂⁴	1	24	yes	—
431	C₂×#575	C₂⁴	1	24	yes	—
432	C₂×#575	C₂⁴	1	24	yes	—
433	C₂×#575	C₂⁴	1	48	yes	—
434	C₂×#575	C₂⁴	1	24	yes	—
435	C₂²×AGL(1,ℤ/8)	C₂⁴	1	24	yes	—
436	C₂²×AGL(1,ℤ/8)	C₂⁴	1	24	yes	—
437	C₂²×AGL(1,ℤ/8)	C₂⁴	1	24	yes	—
438	C₂²×AGL(1,ℤ/8)	C₂⁴	1	24	yes	—
439	C₂×#568	C₂⁴	1	2	yes	—
440	C₂×#568	C₂⁴	1	4	yes	—
441	C₂×#568	C₂⁴	1	4	yes	—
442	C₂×#568	C₂⁴	1	2	yes	—
443	C₂×#568	C₂⁴	1	24	yes	—
444	C₂×#568	C₂⁴	1	48	yes	—
445	#3500	C₂×D₄	1	8	yes	complemented
446	#3499	C₂×D₄	1	4	yes	complemented
447	#3498	C₂×D₄	1	8	yes	—
448	#3498	C₂×D₄	1	8	yes	—
449	#3498	C₂×D₄	1	4	yes	complemented
450	#3487	C₂⁴	1	24	yes	—
451	#3486	C₂⁴	1	8	yes	—
452	#3485	C₂⁴	1	24	yes	—
453	#3484	C₂⁴	1	24	yes	—
454	#3484	C₂⁴	1	48	yes	—
455	#3458	C₂⁴	1	6	yes	—
456	#3455	C₂⁴	1	24	yes	—
457	#3449	C₂⁴	1	12	yes	—
458	#3449	C₂⁴	1	24	yes	—
459	#3449	C₂⁴	1	6	yes	—
460	#3449	C₂⁴	1	24	yes	—
461	C₂×#535	C₂⁴	1	6	yes	—
462	C₂×#535	C₂⁴	1	6	yes	—
463	C₂×#535	C₂⁴	1	6	yes	—
464	C₂×#535	C₂⁴	1	6	yes	—
465	C₂×#535	C₂⁴	1	12	yes	—
466	C₂×#535	C₂⁴	1	12	yes	—
467	C₂×#535	C₂⁴	1	24	yes	—
468	#3444	C₂⁴	1	12	yes	—
469	#3444	C₂⁴	1	12	yes	—
470	#3444	C₂⁴	1	4	yes	—
471	#3444	C₂⁴	1	12	yes	—
472	C₂×#533	C₂⁴	1	6	yes	—
473	C₂×#532	C₂⁴	1	6	yes	—
474	C₂×#532	C₂⁴	1	3	yes	—
475	C₂×#532	C₂⁴	1	3	yes	—
476	C₂×#532	C₂⁴	1	6	yes	—
477	C₂×#532	C₂⁴	1	3	yes	—
478	C₂×#532	C₂⁴	1	6	yes	—
479	C₂×#532	C₂⁴	1	3	yes	—
480	C₂²×C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
481	C₂²×#127	C₂⁴	1	3	yes	—
482	C₂²×#127	C₂⁴	1	3	yes	—
483	C₂²×#127	C₂⁴	1	6	yes	—
484	C₂²×#127	C₂⁴	1	6	yes	—
485	C₂²×#127	C₂⁴	1	6	yes	—
486	C₂²×#127	C₂⁴	1	3	yes	—
487	C₂²×#127	C₂⁴	1	6	yes	—
488	C₂²×#124	C₂⁴	1	6	yes	—
489	C₂×#525	C₂⁴	1	24	yes	—
490	C₂×#525	C₂⁴	1	12	yes	—
491	#3428	C₂⁴	1	2	yes	—
492	#3428	C₂⁴	1	4	yes	—
493	#3428	C₂⁴	1	12	yes	—
494	#3428	C₂⁴	1	12	yes	—
495	C₂×#518	C₂⁴	1	12	yes	—
496	C₂×C₄×#41	C₂⁴	1	1	yes	characteristic
497	C₂×C₄×#41	C₂⁴	1	1	yes	characteristic
498	C₂×C₄×#41	C₂⁴	1	3	yes	—
499	C₂×C₄×#41	C₂⁴	1	3	yes	—
500	C₂×C₄×#41	C₂⁴	1	12	yes	—
501	C₂²×#117	C₂⁴	1	3	yes	—
502	C₂³×C₄²	C₂⁴	1	3	yes	—
503	#3155	C₂×D₄	1	96	yes	complemented
504	#3154	C₂×D₄	1	96	yes	complemented
505	#3153	C₂×D₄	1	24	yes	complemented
506	#3153	C₂⁴	1	24	yes	—
507	#3153	C₂⁴	1	24	yes	—
508	#3152	C₂×D₄	1	12	yes	complemented
509	#3152	C₂⁴	1	4	yes	—
510	#3152	C₂⁴	1	4	yes	—
511	#3151	C₂×D₄	1	24	yes	complemented
512	#3151	C₂×D₄	1	24	yes	complemented
513	#3151	C₂×D₄	1	12	yes	complemented
514	#3151	C₂⁴	1	12	yes	—
515	#3151	C₂⁴	1	24	yes	—
516	#3151	C₂⁴	1	12	yes	—
517	#3151	C₂⁴	1	24	yes	—
518	#3150	C₂×D₄	1	24	yes	complemented
519	C₂×#496	C₂×D₄	1	24	yes	complemented
520	#3147	C₂×D₄	1	24	yes	complemented
521	C₂×#493	C₂×D₄	1	12	yes	complemented
522	C₂×#492	C₂×D₄	1	12	yes	complemented
523	#3140	C₂⁴	1	24	yes	—
524	#3140	C₂⁴	1	24	yes	—
525	#3139	C₂⁴	1	4	yes	—
526	#3139	C₂⁴	1	4	yes	—
527	#3138	C₂⁴	1	12	yes	—
528	#3138	C₂⁴	1	24	yes	—
529	#3138	C₂⁴	1	12	yes	—
530	#3138	C₂⁴	1	24	yes	—
531	#3069	C₂⁴	1	64	yes	—
532	#3069	C₂⁴	1	64	yes	—
533	#3068	C₂⁴	1	192	yes	—
534	#3068	C₂⁴	1	192	yes	—
535	#3040	C₂⁴	1	48	yes	—
536	#3040	C₂⁴	1	48	yes	—
537	#3039	C₂⁴	1	16	yes	—
538	#3038	C₂⁴	1	96	yes	—
539	#3038	C₂⁴	1	48	yes	—
540	#3025	C₂⁴	1	32	yes	—
541	#3025	C₂⁴	1	96	yes	—
542	#3022	C₂⁴	1	64	yes	—
543	#3021	C₂⁴	1	192	yes	—
544	#3018	C₂⁴	1	32	yes	—
545	#3018	C₂⁴	1	96	yes	—
546	C₂×#456	C₂⁴	1	8	yes	—
547	C₂×#456	C₂⁴	1	8	yes	—
548	C₂×#454	C₂⁴	1	24	yes	—
549	C₂×#454	C₂⁴	1	24	yes	—
550	C₂×#455	C₂⁴	1	24	yes	—
551	C₂×#455	C₂⁴	1	24	yes	—
552	C₂×#453	C₂⁴	1	24	yes	—
553	C₂×#453	C₂⁴	1	48	yes	—
554	C₂×#453	C₂⁴	1	24	yes	—
555	C₂×#453	C₂⁴	1	48	yes	—
556	#3005	C₂⁴	1	48	yes	—
557	#3005	C₂⁴	1	48	yes	—
558	#3005	C₂⁴	1	48	yes	—
559	#3005	C₂⁴	1	48	yes	—
560	#3004	C₂⁴	1	16	yes	—
561	#3004	C₂⁴	1	16	yes	—
562	#3003	C₂⁴	1	48	yes	—
563	#3003	C₂⁴	1	96	yes	—
564	#3003	C₂⁴	1	48	yes	—
565	#3003	C₂⁴	1	96	yes	—
566	#2956	C₂⁴	1	32	yes	—
567	#2956	C₂⁴	1	96	yes	—
568	#2921	C₂⁴	1	24	yes	—
569	#2920	C₂⁴	1	4	yes	—
570	#2920	C₂⁴	1	12	yes	—
571	#2920	C₂⁴	1	12	yes	—
572	#2920	C₂⁴	1	12	yes	—
573	C₂×#430	C₂⁴	1	24	yes	—
574	C₂×#430	C₂⁴	1	48	yes	—
575	#2905	C₂⁴	1	12	yes	—
576	C₂×#423	C₂⁴	1	12	yes	—
577	#2901	C₂⁴	1	32	yes	—
578	#2901	C₂⁴	1	96	yes	—
579	C₂×#421	C₂⁴	1	24	yes	—
580	C₂×#421	C₂⁴	1	24	yes	—
581	C₂×#421	C₂⁴	1	48	yes	—
582	C₂×#421	C₂⁴	1	48	yes	—
583	C₂×#421	C₂⁴	1	48	yes	—
584	C₂²×#104	C₂⁴	1	24	yes	—
585	C₂²×#104	C₂⁴	1	24	yes	—
586	#2896	C₂⁴	1	24	yes	—
587	#2896	C₂⁴	1	24	yes	—
588	#2896	C₂⁴	1	24	yes	—
589	#2896	C₂⁴	1	24	yes	—
590	C₂×#418	C₂⁴	1	24	yes	—
591	C₂×#418	C₂⁴	1	24	yes	—
592	C₂×#418	C₂⁴	1	24	yes	—
593	C₂×#418	C₂⁴	1	24	yes	—
594	C₂×#413	C₂⁴	1	12	yes	—
595	C₂×#413	C₂⁴	1	24	yes	—
596	C₂×#413	C₂⁴	1	12	yes	—
597	C₂×#413	C₂⁴	1	24	yes	—
598	C₂×#413	C₂⁴	1	48	yes	—
599	C₂²×#100	C₂⁴	1	12	yes	—
600	C₂²×#100	C₂⁴	1	24	yes	—
601	C₂²×#100	C₂⁴	1	12	yes	—
602	C₂×#410	C₂⁴	1	24	yes	—
603	C₂×#410	C₂⁴	1	48	yes	—
604	#2879	C₂⁴	1	24	yes	—
605	#2879	C₂⁴	1	12	yes	—
606	C₂×#407	C₂⁴	1	24	yes	—
607	C₂×#407	C₂⁴	1	12	yes	—
608	#2875	C₂×D₄	1	8	yes	complemented
609	C₄×#131	C₂×D₄	1	8	yes	complemented
610	#2873	C₂⁴	1	6	yes	—
611	#2873	C₂⁴	1	6	yes	—
612	C₂×C₄×M₁₆	C₂⁴	1	6	yes	—
613	C₂×C₄×M₁₆	C₂⁴	1	6	yes	—
614	#2102	C₂⁴	1	32	yes	—
615	#2102	C₂⁴	1	96	yes	—
616	#2091	C₂⁴	1	32	yes	—
617	#2091	C₂⁴	1	96	yes	—
618	#2082	C₂⁴	1	64	yes	—
619	#2082	C₂⁴	1	64	yes	—
620	#2081	C₂⁴	1	192	yes	—
621	#2081	C₂⁴	1	192	yes	—
622	#2050	C₂⁴	1	32	yes	—
623	#2050	C₂⁴	1	96	yes	—
624	#2049	C₂⁴	1	64	yes	—
625	#2049	C₂⁴	1	64	yes	—
626	#2048	C₂⁴	1	192	yes	—
627	#2048	C₂⁴	1	192	yes	—
628	#2031	C₂⁴	1	64	yes	—
629	#2031	C₂⁴	1	192	yes	—
630	#2010	C₂⁴	1	32	yes	—
631	#2010	C₂⁴	1	96	yes	—
632	#2010	C₂⁴	1	64	yes	—
633	#2010	C₂⁴	1	192	yes	—
634	#2009	C₂⁴	1	64	yes	—
635	#2009	C₂⁴	1	64	yes	—
636	#2008	C₂⁴	1	192	yes	—
637	#2008	C₂⁴	1	192	yes	—
638	#2005	C₂⁴	1	16	yes	—
639	#2005	C₂⁴	1	16	yes	—
640	#2004	C₂⁴	1	48	yes	—
641	#2004	C₂⁴	1	48	yes	—
642	#2003	C₂⁴	1	48	yes	—
643	#2003	C₂⁴	1	48	yes	—
644	#2002	C₂⁴	1	48	yes	—
645	#2002	C₂⁴	1	96	yes	—
646	#2002	C₂⁴	1	48	yes	—
647	#2002	C₂⁴	1	96	yes	—
648	#1932	C₂⁴	1	64	yes	—
649	#1932	C₂⁴	1	192	yes	—
650	#1910	C₂⁴	1	192	yes	—
651	#1909	C₂⁴	1	64	yes	—
652	#1906	C₂⁴	1	64	yes	—
653	#1906	C₂⁴	1	192	yes	—
654	#1905	C₂⁴	1	64	yes	—
655	#1905	C₂⁴	1	64	yes	—
656	#1904	C₂⁴	1	192	yes	—
657	#1904	C₂⁴	1	192	yes	—
658	#1903	C₂⁴	1	192	yes	—
659	#1903	C₂⁴	1	192	yes	—
660	#1902	C₂⁴	1	64	yes	—
661	#1902	C₂⁴	1	64	yes	—
662	#1897	C₂⁴	1	96	yes	—
663	#1896	C₂⁴	1	16	yes	—
664	#1896	C₂⁴	1	48	yes	—
665	#1896	C₂⁴	1	48	yes	—
666	#1896	C₂⁴	1	48	yes	—
667	#1891	C₂⁴	1	64	yes	—
668	#1891	C₂⁴	1	192	yes	—
669	#1891	C₂⁴	1	32	yes	—
670	#1891	C₂⁴	1	96	yes	—
671	#1888	C₂⁴	1	24	yes	—
672	#1888	C₂⁴	1	24	yes	—
673	#1887	C₂⁴	1	24	yes	—
674	#1887	C₂⁴	1	48	yes	—
675	#1887	C₂⁴	1	24	yes	—
676	#1887	C₂⁴	1	48	yes	—
677	#1886	C₂⁴	1	8	yes	—
678	#1886	C₂⁴	1	8	yes	—
679	#1885	C₂⁴	1	24	yes	—
680	#1885	C₂⁴	1	24	yes	—
681	#1884	C₂⁴	1	32	yes	—
682	#1884	C₂⁴	1	96	yes	—
683	#1861	C₂⁴	1	64	yes	—
684	#1861	C₂⁴	1	192	yes	—
685	#1841	C₂⁴	1	32	yes	—
686	#1841	C₂⁴	1	96	yes	—
687	#1827	C₂⁴	1	32	yes	—
688	#1827	C₂⁴	1	96	yes	—
689	#1796	C₂⁴	1	64	yes	—
690	#1795	C₂⁴	1	192	yes	—
691	#1785	C₂⁴	1	24	yes	—
692	#1785	C₂⁴	1	24	yes	—
693	#1784	C₂⁴	1	8	yes	—
694	#1783	C₂⁴	1	24	yes	—
695	#1783	C₂⁴	1	48	yes	—
696	C₂×#344	C₂⁴	1	48	yes	—
697	C₂×#344	C₂⁴	1	48	yes	—
698	C₂×#344	C₂⁴	1	48	yes	—
699	#1733	C₂⁴	1	24	yes	—
700	#1733	C₂⁴	1	24	yes	—
701	C₂×#339	C₂⁴	1	24	yes	—
702	C₂×#339	C₂⁴	1	24	yes	—
703	C₂×#338	C₂⁴	1	24	yes	—
704	C₂×H(3,ℤ/4)	C₂⁴	1	24	yes	—
705	C₂×H(3,ℤ/4)	C₂⁴	1	48	yes	—
706	#585	C₂⁵	1	32	yes	—
707	C₂×2₋¹⁺⁴	C₂²×D₄	1	8	yes	—
708	C₂×2₋¹⁺⁴	H(5,𝔽₂)	1	16	yes	—
709	C₂×2₋¹⁺⁴	C₂⁵	1	8	yes	—
710	C₂×H(5,𝔽₂)	C₂²×D₄	1	16	yes	—
711	C₂×H(5,𝔽₂)	C₂²×D₄	1	8	yes	—
712	C₂×H(5,𝔽₂)	H(5,𝔽₂)	1	16	yes	—
713	C₂×H(5,𝔽₂)	C₂⁵	1	24	yes	—
714	C₂²×#41	H(5,𝔽₂)	1	3	yes	—
715	C₂²×#41	H(5,𝔽₂)	1	1	yes	characteristic
716	C₂²×#41	C₂⁵	1	3	yes	—
717	C₂²×#41	C₂⁵	1	12	yes	—
718	C₂²×#41	C₂⁵	1	24	yes	—
719	C₂²×#41	C₂⁵	1	6	yes	—
720	C₂²×#41	C₂⁵	1	6	yes	—
721	C₂²×#41	C₂⁵	1	6	yes	—
722	C₂²×#41	C₂⁵	1	6	yes	—
723	C₂²×#41	C₂⁵	1	1	yes	characteristic
724	C₂³×Q₈	H(5,𝔽₂)	1	1	yes	characteristic
725	C₂³×Q₈	C₂⁵	1	2	yes	—
726	C₂³×D₄	H(5,𝔽₂)	1	3	yes	—
727	C₂³×D₄	C₂⁵	1	6	yes	—
728	C₂³×D₄	C₂⁵	1	6	yes	—
729	C₂³×D₄	C₂⁵	1	6	yes	—
730	C₂³×D₄	C₂⁵	1	12	yes	—
731	C₂⁴×C₄	C₂⁵	1	3	yes	—
732	#575	C₂⁵	1	32	yes	—
733	#575	C₂⁵	1	64	yes	—
734	C₂×#137	C₂²×D₄	1	48	yes	complemented
735	C₂×#137	C₂⁵	1	16	yes	—
736	C₂×#137	C₂⁵	1	16	yes	—
737	C₂×#137	C₂⁵	1	16	yes	—
738	C₂×#137	C₂⁵	1	16	yes	—
739	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	96	yes	complemented
740	C₂×AGL(1,ℤ/8)	C₂²×D₄	1	48	yes	complemented
741	C₂×AGL(1,ℤ/8)	C₂⁵	1	48	yes	—
742	C₂×AGL(1,ℤ/8)	C₂⁵	1	48	yes	—
743	C₂×AGL(1,ℤ/8)	C₂⁵	1	48	yes	—
744	C₂×AGL(1,ℤ/8)	C₂⁵	1	48	yes	—
745	C₂×#135	C₂²×D₄	1	96	yes	complemented
746	C₂²×SD₁₆	C₂²×D₄	1	48	yes	complemented
747	C₂²×D₈	C₂²×D₄	1	48	yes	complemented
748	#568	C₂⁵	1	64	yes	—
749	#568	C₂⁵	1	32	yes	—
750	C₂×#131	C₂²×D₄	1	16	yes	—
751	C₂²×M₁₆	C₂⁵	1	12	yes	—
752	C₂²×M₁₆	C₂⁵	1	12	yes	—
753	C₂²×M₁₆	C₂⁵	1	24	yes	—
754	C₂²×M₁₆	C₂⁵	1	24	yes	—
755	#536	C₂²×D₄	1	24	yes	complemented
756	#536	C₂⁵	1	16	yes	—
757	#535	C₂²×D₄	1	48	yes	—
758	#535	C₂²×D₄	1	24	yes	complemented
759	#535	C₂⁵	1	48	yes	—
760	#533	C₂⁵	1	4	yes	—
761	#533	C₂⁵	1	12	yes	—
762	#532	C₂²×D₄	1	12	yes	—
763	#532	C₂²×D₄	1	12	yes	—
764	#532	C₂²×D₄	1	12	yes	complemented
765	#532	C₂²×D₄	1	12	yes	complemented
766	#532	C₂⁵	1	4	yes	—
767	#532	C₂⁵	1	12	yes	—
768	C₂×C₄⋊Q₈	C₂²×D₄	1	6	yes	complemented
769	C₂×C₄⋊Q₈	C₂⁵	1	1	yes	characteristic
770	C₂×C₄⋊Q₈	C₂⁵	1	1	yes	characteristic
771	C₂×C₄⋊Q₈	C₂⁵	1	2	yes	—
772	C₂×#127	C₂²×D₄	1	12	yes	—
773	C₂×#127	C₂²×D₄	1	12	yes	—
774	C₂×#127	C₂²×D₄	1	6	yes	complemented
775	C₂×#127	C₂⁵	1	3	yes	—
776	C₂×#127	C₂⁵	1	6	yes	—
777	C₂×#127	C₂⁵	1	3	yes	—
778	C₂×#127	C₂⁵	1	6	yes	—
779	C₂×#127	C₂⁵	1	6	yes	—
780	C₂×#127	C₂⁵	1	12	yes	—
781	C₂×#124	C₂²×D₄	1	12	yes	complemented
782	C₂×#124	C₂⁵	1	6	yes	—
783	C₂×#124	C₂⁵	1	6	yes	—
784	C₂×#124	C₂⁵	1	6	yes	—
785	C₂×#124	C₂⁵	1	6	yes	—
786	#525	C₂⁵	1	16	yes	—
787	#525	C₂⁵	1	48	yes	—
788	#525	C₂⁵	1	8	yes	—
789	#525	C₂⁵	1	24	yes	—
790	#519	C₂⁵	1	8	yes	—
791	#518	C₂⁵	1	24	yes	—
792	C₄×#41	C₂²×D₄	1	4	yes	—
793	C₄×#41	C₂²×D₄	1	4	yes	—
794	C₄×#41	H(5,𝔽₂)	1	8	yes	—
795	C₄×#41	C₂⁵	1	8	yes	—
796	C₄×#41	C₂⁵	1	24	yes	—
797	C₂×#117	C₂⁵	1	3	yes	—
798	C₂×#117	C₂⁵	1	3	yes	—
799	C₂×#117	C₂⁵	1	6	yes	—
800	C₂×#117	C₂⁵	1	12	yes	—
801	C₂×#117	C₂⁵	1	24	yes	—
802	C₂²×C₄²	C₂⁵	1	3	yes	—
803	C₂²×C₄²	C₂⁵	1	3	yes	—
804	C₂²×C₄²	C₂⁵	1	1	yes	characteristic
805	C₂²×C₄²	C₂⁵	1	3	yes	—
806	C₂²×C₄²	C₂⁵	1	3	yes	—
807	C₂²×C₄²	C₂⁵	1	3	yes	—
808	#497	C₂²×D₄	1	16	yes	complemented
809	#497	C₂²×D₄	1	48	yes	complemented
810	#496	C₂²×D₄	1	48	yes	complemented
811	#496	C₂²×D₄	1	96	yes	complemented
812	#496	C₂²×D₄	1	48	yes	complemented
813	#495	C₂²×D₄	1	96	yes	complemented
814	#494	C₂²×D₄	1	8	yes	complemented
815	#493	C₂²×D₄	1	24	yes	complemented
816	#493	C₂²×D₄	1	48	yes	complemented
817	#492	C₂²×D₄	1	24	yes	complemented
818	#492	C₂²×D₄	1	48	yes	complemented
819	#492	C₂²×D₄	1	8	yes	complemented
820	#430	C₂⁵	1	64	yes	—
821	#430	C₂⁵	1	32	yes	—
822	#423	C₂⁵	1	8	yes	—
823	#423	C₂⁵	1	24	yes	—
824	#421	C₂⁵	1	64	yes	—
825	#421	C₂⁵	1	64	yes	—
826	#421	C₂⁵	1	64	yes	—
827	C₂×#104	C₂⁵	1	16	yes	—
828	C₂×#104	C₂⁵	1	48	yes	—
829	C₂×#104	C₂⁵	1	16	yes	—
830	C₂×#104	C₂⁵	1	48	yes	—
831	#419	C₂⁵	1	16	yes	—
832	#419	C₂⁵	1	16	yes	—
833	#419	C₂⁵	1	16	yes	—
834	#419	C₂⁵	1	16	yes	—
835	#418	C₂⁵	1	48	yes	—
836	#418	C₂⁵	1	48	yes	—
837	#418	C₂⁵	1	48	yes	—
838	#418	C₂⁵	1	48	yes	—
839	#413	C₂⁵	1	32	yes	—
840	#413	C₂⁵	1	64	yes	—
841	C₂×#101	C₂⁵	1	8	yes	—
842	C₂×#101	C₂⁵	1	16	yes	—
843	C₂×#101	C₂⁵	1	8	yes	—
844	C₂×#100	C₂⁵	1	24	yes	—
845	C₂×#100	C₂⁵	1	48	yes	—
846	C₂×#100	C₂⁵	1	24	yes	—
847	#410	C₂⁵	1	64	yes	—
848	#410	C₂⁵	1	32	yes	—
849	#407	C₂⁵	1	16	yes	—
850	#407	C₂⁵	1	8	yes	—
851	#407	C₂⁵	1	48	yes	—
852	#407	C₂⁵	1	24	yes	—
853	#405	C₂²×D₄	1	48	yes	complemented
854	C₄×M₁₆	C₂²×D₄	1	12	yes	complemented
855	C₄×M₁₆	C₂²×D₄	1	12	yes	complemented
856	C₄×M₁₆	C₂⁵	1	4	yes	—
857	C₄×M₁₆	C₂⁵	1	12	yes	—
858	C₄×M₁₆	C₂⁵	1	4	yes	—
859	C₄×M₁₆	C₂⁵	1	12	yes	—
860	C₂×#97	C₂²×D₄	1	12	yes	complemented
861	C₂×C₄×C₈	C₂²×D₄	1	12	yes	complemented
862	#344	C₂⁵	1	64	yes	—
863	#344	C₂⁵	1	64	yes	—
864	#344	C₂⁵	1	64	yes	—
865	#339	C₂⁵	1	48	yes	—
866	#339	C₂⁵	1	16	yes	—
867	#339	C₂⁵	1	48	yes	—
868	#339	C₂⁵	1	16	yes	—
869	#338	C₂⁵	1	32	yes	—
870	H(3,ℤ/4)	C₂⁵	1	64	yes	—
871	H(3,ℤ/4)	C₂⁵	1	32	yes	—
872	C₂⁵	C₂×H(5,𝔽₂)	1	3	yes	—
873	C₂×#41	C₂³×D₄	1	4	yes	—
874	C₂×#41	C₂³×D₄	1	24	yes	—
875	C₂×#41	C₂³×D₄	1	24	yes	—
876	C₂×#41	C₂×H(5,𝔽₂)	1	4	yes	—
877	C₂×#41	C₂×H(5,𝔽₂)	1	16	yes	—
878	C₂×#41	C₂×H(5,𝔽₂)	1	48	yes	—
879	C₂×#41	C₂⁶	1	8	yes	—
880	C₂×#41	C₂⁶	1	16	yes	—
881	C₂²×Q₈	C₂³×D₄	1	12	yes	—
882	C₂²×Q₈	C₂×H(5,𝔽₂)	1	3	yes	—
883	C₂²×Q₈	C₂×H(5,𝔽₂)	1	1	yes	characteristic
884	C₂²×Q₈	C₂×H(5,𝔽₂)	1	24	yes	—
885	C₂²×Q₈	C₂⁶	1	2	yes	—
886	C₂²×Q₈	C₂⁶	1	2	yes	—
887	C₂²×D₄	C₂³×D₄	1	12	yes	—
888	C₂²×D₄	C₂³×D₄	1	24	yes	—
889	C₂²×D₄	C₂×H(5,𝔽₂)	1	24	yes	—
890	C₂²×D₄	C₂×H(5,𝔽₂)	1	3	yes	—
891	C₂²×D₄	C₂×H(5,𝔽₂)	1	3	yes	—
892	C₂²×D₄	C₂×H(5,𝔽₂)	1	6	yes	—
893	C₂²×D₄	C₂⁶	1	6	yes	—
894	C₂²×D₄	C₂⁶	1	6	yes	—
895	C₂³×C₄	C₂×H(5,𝔽₂)	1	3	yes	—
896	C₂³×C₄	C₂×H(5,𝔽₂)	1	3	yes	—
897	C₂³×C₄	C₂×H(5,𝔽₂)	1	3	yes	—
898	C₂³×C₄	C₂⁶	1	3	yes	—
899	C₂³×C₄	C₂⁶	1	3	yes	—
900	C₂³×C₄	C₂⁶	1	1	yes	characteristic
901	C₂×Q₁₆	C₂³×D₄	1	32	yes	—
902	C₂×SD₁₆	C₂³×D₄	1	96	yes	—
903	C₂×SD₁₆	C₂³×D₄	1	32	yes	—
904	C₂×D₈	C₂³×D₄	1	96	yes	—
905	C₂×M₁₆	C₂³×D₄	1	24	yes	—
906	C₂×M₁₆	C₂⁶	1	8	yes	—
907	C₂×M₁₆	C₂⁶	1	16	yes	—
908	C₂×M₁₆	C₂⁶	1	16	yes	—
909	C₂×M₁₆	C₂⁶	1	8	yes	—
910	C₂²×C₈	C₂³×D₄	1	24	yes	—
911	C₄⋊Q₈	C₂³×D₄	1	4	yes	—
912	C₄⋊Q₈	C₂³×D₄	1	12	yes	—
913	C₄⋊Q₈	C₂³×D₄	1	2	yes	—
914	C₄⋊Q₈	C₂³×D₄	1	2	yes	—
915	#127	C₂³×D₄	1	6	yes	—
916	#127	C₂³×D₄	1	6	yes	—
917	#127	C₂³×D₄	1	24	yes	—
918	#127	C₂³×D₄	1	4	yes	—
919	#127	C₂³×D₄	1	12	yes	—
920	#124	C₂³×D₄	1	8	yes	—
921	#124	C₂³×D₄	1	24	yes	—
922	#124	C₂³×D₄	1	24	yes	—
923	#117	C₂³×D₄	1	12	yes	—
924	#117	C₂×H(5,𝔽₂)	1	12	yes	—
925	#117	C₂⁶	1	8	yes	—
926	#117	C₂⁶	1	16	yes	—
927	C₂×C₄²	C₂³×D₄	1	6	yes	—
928	C₂×C₄²	C₂³×D₄	1	6	yes	—
929	C₂×C₄²	C₂×H(5,𝔽₂)	1	12	yes	—
930	C₂×C₄²	C₂⁶	1	3	yes	—
931	C₂×C₄²	C₂⁶	1	1	yes	characteristic
932	C₂×C₄²	C₂⁶	1	3	yes	—
933	C₂×C₄²	C₂⁶	1	1	yes	characteristic
934	#97	C₂³×D₄	1	8	yes	—
935	#97	C₂³×D₄	1	24	yes	—
936	C₄×C₈	C₂³×D₄	1	8	yes	—
937	C₄×C₈	C₂³×D₄	1	24	yes	—
938	C₂⁴	C₂²×H(5,𝔽₂)	1	3	yes	—
939	C₂⁴	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
940	C₂⁴	C₂²×H(5,𝔽₂)	1	3	yes	—
941	#41	#3484	1	32	yes	—
942	#41	#3537	1	32	yes	—
943	C₂×Q₈	#3484	1	4	yes	—
944	C₂×Q₈	#3532	1	8	yes	—
945	C₂×Q₈	C₂⁴×D₄	1	4	yes	—
946	C₂×Q₈	C₂⁴×D₄	1	8	yes	—
947	C₂×Q₈	C₂²×H(5,𝔽₂)	1	16	yes	—
948	C₂×D₄	#3484	1	12	yes	—
949	C₂×D₄	#3532	1	24	yes	—
950	C₂×D₄	C₂⁴×D₄	1	8	yes	—
951	C₂×D₄	C₂⁴×D₄	1	12	yes	—
952	C₂×D₄	C₂²×H(5,𝔽₂)	1	16	yes	—
953	C₂²×C₄	C₂⁴×D₄	1	6	yes	—
954	C₂²×C₄	C₂²×H(5,𝔽₂)	1	6	yes	—
955	C₂²×C₄	C₂²×H(5,𝔽₂)	1	24	yes	—
956	C₂²×C₄	C₂²×H(5,𝔽₂)	1	3	yes	—
957	C₂²×C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
958	C₂²×C₄	C₂²×H(5,𝔽₂)	1	3	yes	—
959	C₂²×C₄	C₂⁷	1	1	yes	characteristic
960	C₂×C₈	C₂⁴×D₄	1	16	yes	—
961	C₄²	C₂⁴×D₄	1	1	yes	characteristic
962	C₄²	C₂⁴×D₄	1	6	yes	—
963	C₄²	C₂⁴×D₄	1	1	yes	characteristic
964	C₄²	C₂²×H(5,𝔽₂)	1	2	yes	—
965	C₄²	C₂²×H(5,𝔽₂)	1	6	yes	—
966	C₂³	C₂×#3532	1	12	yes	—
967	C₂³	C₂×#3484	1	6	yes	—
968	C₂³	C₂³×H(5,𝔽₂)	1	1	yes	characteristic
969	Q₈	#52004	1	16	yes	—
970	D₄	#52004	1	48	yes	—
971	C₂×C₄	C₂×#3532	1	12	yes	—
972	C₂×C₄	C₂×#3537	1	24	yes	—
973	C₂×C₄	C₂×#3484	1	24	yes	—
974	C₂×C₄	C₂×#3484	1	6	yes	—
975	C₂×C₄	C₂⁵×D₄	1	1	yes	characteristic
976	C₂×C₄	C₂³×H(5,𝔽₂)	1	1	yes	characteristic
977	C₂×C₄	C₂³×H(5,𝔽₂)	1	4	yes	—
978	C₂²	C₂×#52004	1	12	yes	—
979	C₂²	C₂²×#3484	1	1	yes	characteristic
980	C₂²	C₂²×#3532	1	2	yes	—
981	C₄	C₂×#52004	1	12	yes	—
982	C₄	C₂²×#3484	1	2	yes	—
983	C₄	C₂²×#3537	1	2	yes	—
984	C₂	C₂²×#52004	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂	C₂²×#52004
commutator, Frattini, cosocle	C₂²×C₄	C₂⁷
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂ ◁ C₂²×#41 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72338582	C₂	semidirect
2. #72338581	C₂	semidirect
3. #72338580	C₂	semidirect
4. #72338578	C₂	semidirect
5. #72319204	C₂	semidirect
6. #72319063	C₂	semidirect
7. #72319030	C₂	semidirect
8. #72317757	C₂	semidirect
9. #72307055	C₂	semidirect
10. #72307042	C₂	semidirect
11. #72306954	C₂	semidirect
12. #72306939	C₂	semidirect
13. #72306905	C₂	semidirect
14. #72279606	C₂	semidirect
15. #72252020	C₂	semidirect
16. C₂×#7487865	C₂	semidirect
17. #72233774	C₂	semidirect
18. #72216138	C₂	semidirect
19. #72215721	C₂	semidirect
20. #10586999	C₂²	semidirect
21. #10586066	C₂²	semidirect
22. #10585995	C₂²	semidirect
23. C₂²×#3498	C₂²	semidirect
24. #10576178	C₂²	semidirect
25. #10576177	C₂²	semidirect
26. C₂×#61110	C₂²	semidirect
27. #10575560	C₂²	semidirect
28. #10575552	C₂²	semidirect
29. #10575552	C₂²	semidirect
30. #10575547	C₂²	semidirect
31. #10575509	C₂²	semidirect
32. C₂×#60798	C₂²	semidirect
34. #10575254	C₂²	semidirect
35. #10575219	C₂²	semidirect
36. #10575219	C₂²	semidirect
37. #10574963	C₂²	semidirect
38. #10574921	C₂²	semidirect
39. #10574921	C₂²	semidirect
40. #10574874	C₂²	semidirect
41. #10574854	C₂²	semidirect
42. #10574846	C₂²	semidirect
43. #10574840	C₂²	semidirect
44. #10574840	C₂²	semidirect
46. C₂×#60388	C₂²	semidirect
47. #10574173	C₂²	semidirect
48. #10574126	C₂²	semidirect
49. #10574065	C₂²	semidirect
50. #7504669	C₂²	semidirect
51. #7504667	C₂²	semidirect
52. #7504666	C₂²	semidirect
53. C₂×#31414	C₂²	semidirect
54. #7504294	C₂²	semidirect
55. #7504292	C₂²	semidirect
56. #7504291	C₂²	semidirect
57. C₂×#31282	C₂²	semidirect
58. #7500919	C₂²	semidirect
59. #7500918	C₂²	semidirect
60. C₂×#30496	C₂²	semidirect
61. #7500748	C₂²	semidirect
62. #7500748	C₂²	semidirect
63. #7500747	C₂²	semidirect
64. C₂×#30434	C₂²	semidirect
65. #7487873	C₂²	semidirect
66. #7487871	C₂²	semidirect
67. #7487869	C₂²	semidirect
68. #7487868	C₂²	semidirect
69. #7487867	C₂²	semidirect
70. #7487866	C₂²	semidirect
71. #7487865	C₂²	semidirect
72. #7487865	C₂²	semidirect
73. #7487865	C₂²	semidirect
74. #7487865	C₂²	semidirect
75. #7487864	C₂²	semidirect
76. #6461519	C₂²	semidirect
77. #6461447	C₂²	semidirect
78. #6461446	C₂²	semidirect
79. C₂×#29384	C₂²	semidirect
80. #6451777	C₂²	semidirect
81. #6451776	C₂²	semidirect
82. #6451775	C₂²	semidirect
83. C₂×#23994	C₂²	semidirect
84. #6437952	C₂²	semidirect
85. #6437950	C₂²	semidirect
86. #6437949	C₂²	semidirect
87. C₂×#24472	C₂²	semidirect
88. #6437578	C₂²	semidirect
89. #6437576	C₂²	semidirect
90. #6437575	C₂²	semidirect
91. C₂×#23882	C₂²	semidirect
92. #6437456	C₂²	semidirect
93. #6437456	C₂²	semidirect
94. #6437452	C₂²	semidirect
95. #6437452	C₂²	semidirect
96. #6437449	C₂²	semidirect
97. #6437445	C₂²	semidirect
98. #6437437	C₂²	semidirect
99. C₂×#23906	C₂²	semidirect
100. #6434130	C₂²	semidirect
101. #6434129	C₂²	semidirect
102. C₂×#30057	C₂²	semidirect
103. #6432446	C₂²	semidirect
104. #6432399	C₂²	semidirect
105. #6432197	C₂²	semidirect
106. #6432197	C₂²	semidirect
107. #6431937	C₂²	semidirect
108. #6431933	C₂²	semidirect
109. #6431933	C₂²	semidirect
110. #6431843	C₂²	semidirect
112. #6431743	C₂²	semidirect
113. #6431739	C₂²	semidirect
114. #6431739	C₂²	semidirect
115. #6431723	C₂²	semidirect
116. #6431723	C₂²	semidirect
117. #6407636	C₂²	semidirect
118. #6407634	C₂²	semidirect
119. C₂×#23361	C₂²	semidirect
120. #6371674	C₂²	semidirect
121. #6371562	C₂²	semidirect
122. #6371562	C₂²	semidirect
123. #6371543	C₂²	semidirect
124. #6371529	C₂²	semidirect
125. #6371525	C₂²	semidirect
126. #6371525	C₂²	semidirect
127. #6371521	C₂²	semidirect
128. #6371521	C₂²	semidirect
129. #6371495	C₂²	semidirect
130. #6371456	C₂²	semidirect
131. #6371456	C₂²	semidirect
132. #6371444	C₂²	semidirect
133. #6371303	C₂²	semidirect
134. #6371071	C₂²	semidirect
135. #6370894	C₂²	semidirect
136. #6370755	C₂²	semidirect
137. #6370704	C₂²	semidirect
143. #63090	C₂³	semidirect
148. C₂×#3585	C₂³	semidirect
152. #62852	C₂³	semidirect
153. #62842	C₂³	semidirect
154. #62815	C₂³	semidirect
155. #62814	C₂³	semidirect
160. #62811	C₂³	semidirect
164. C₂×#3498	C₂³	semidirect
165. C₂×#3498	C₂³	semidirect
166. C₂×#3498	C₂³	semidirect
167. C₂×#3484	C₂³	semidirect
168. #62686	C₂³	semidirect
169. C₂²×#535	C₂³	semidirect
170. C₂×#3444	C₂³	semidirect
171. C₂²×#532	C₂³	semidirect
172. C₂³×#127	C₂³	semidirect
176. #61111	C₂³	semidirect
177. #61110	C₂³	semidirect
178. #61110	C₂³	semidirect
179. #61109	C₂³	semidirect
180. #60806	C₂³	semidirect
181. #60806	C₂³	semidirect
182. #60802	C₂³	semidirect
183. #60801	C₂³	semidirect
184. #60801	C₂³	semidirect
185. #60800	C₂³	semidirect
186. #60799	C₂³	semidirect
187. #60798	C₂³	semidirect
188. #60798	C₂³	semidirect
189. #60798	C₂³	semidirect
190. #60798	C₂³	semidirect
191. #60650	D₄	semidirect
192. #60647	D₄	semidirect
193. #60646	D₄	semidirect
195. #60644	C₂³	semidirect
197. #60639	C₂³	semidirect
199. C₂×#3151	C₂³	semidirect
200. #60619	C₂³	semidirect
201. #60619	C₂³	semidirect
202. #60618	C₂³	semidirect
203. #60618	C₂³	semidirect
204. C₂×#3138	C₂³	semidirect
205. C₂×#3138	C₂³	semidirect
206. #60469	C₂³	semidirect
207. #60469	C₂³	semidirect
208. C₂×#3068	C₂³	semidirect
209. C₂×#3068	C₂³	semidirect
210. #60426	C₂³	semidirect
211. #60426	C₂³	semidirect
212. #60415	C₂³	semidirect
213. C₂×#3038	C₂³	semidirect
214. #60398	C₂³	semidirect
215. C₂×#3025	C₂³	semidirect
216. #60387	C₂³	semidirect
217. #60387	C₂³	semidirect
219. C₂×#3021	C₂³	semidirect
220. C₂×#3021	C₂³	semidirect
222. C₂×#3019	C₂³	semidirect
224. C₂×#3018	C₂³	semidirect
225. C₂×#3018	C₂³	semidirect
227. C₂²×#453	C₂³	semidirect
228. #60367	C₂³	semidirect
229. #60367	C₂³	semidirect
230. #60367	C₂³	semidirect
231. #60367	C₂³	semidirect
232. #60359	C₂³	semidirect
233. #60359	C₂³	semidirect
234. C₂×#3003	C₂³	semidirect
235. C₂×#3003	C₂³	semidirect
236. #60182	C₂³	semidirect
237. C₂×#2956	C₂³	semidirect
238. #60125	C₂³	semidirect
239. #60124	C₂³	semidirect
240. #60123	C₂³	semidirect
241. C₂×#2920	C₂³	semidirect
248. #60093	C₂³	semidirect
251. C₂×#2901	C₂³	semidirect
267. #31417	C₂³	semidirect
268. #31416	C₂³	semidirect
269. #31415	C₂³	semidirect
270. #31414	C₂³	semidirect
271. #31414	C₂³	semidirect
272. #31285	C₂³	semidirect
273. #31284	C₂³	semidirect
274. #31283	C₂³	semidirect
275. #31282	C₂³	semidirect
276. #31282	C₂³	semidirect
277. #30498	C₂³	semidirect
278. #30497	C₂³	semidirect
279. #30496	C₂³	semidirect
280. #30496	C₂³	semidirect
281. #30436	C₂³	semidirect
282. #30436	C₂³	semidirect
283. #30435	C₂³	semidirect
284. #30434	C₂³	semidirect
285. #30434	C₂³	semidirect
286. #30058	C₂³	semidirect
287. #30057	C₂³	semidirect
288. #30057	C₂³	semidirect
289. #30056	C₂³	semidirect
290. #29385	C₂³	semidirect
291. #29384	C₂³	semidirect
292. #29384	C₂³	semidirect
293. #29384	C₂³	semidirect
294. #29384	C₂³	semidirect
295. #24475	C₂³	semidirect
296. #24474	C₂³	semidirect
297. #24473	C₂³	semidirect
298. #24472	C₂³	semidirect
299. #24472	C₂³	semidirect
300. #23995	C₂³	semidirect
301. #23994	C₂³	semidirect
302. #23994	C₂³	semidirect
303. #23994	C₂³	semidirect
304. #23994	C₂³	semidirect
305. #23915	C₂³	semidirect
306. #23913	C₂³	semidirect
307. #23912	C₂³	semidirect
308. #23912	C₂³	semidirect
309. #23911	C₂³	semidirect
310. #23910	C₂³	semidirect
311. #23909	C₂³	semidirect
312. #23909	C₂³	semidirect
313. #23908	C₂³	semidirect
314. #23908	C₂³	semidirect
315. #23907	C₂³	semidirect
316. #23906	C₂³	semidirect
317. #23906	C₂³	semidirect
318. #23906	C₂³	semidirect
319. #23906	C₂³	semidirect
320. #23885	C₂³	semidirect
321. #23884	C₂³	semidirect
322. #23883	C₂³	semidirect
323. #23882	C₂³	semidirect
324. #23882	C₂³	semidirect
325. #23751	C₂³	semidirect
326. C₂×#2102	C₂³	semidirect
327. #23723	C₂³	semidirect
328. C₂×#2091	C₂³	semidirect
329. #23652	C₂³	semidirect
330. #23652	C₂³	semidirect
331. C₂×#2081	C₂³	semidirect
332. C₂×#2081	C₂³	semidirect
333. #23527	C₂³	semidirect
334. C₂×#2050	C₂³	semidirect
335. #23525	C₂³	semidirect
336. #23525	C₂³	semidirect
337. C₂×#2048	C₂³	semidirect
338. C₂×#2048	C₂³	semidirect
339. #23472	C₂³	semidirect
340. C₂×#2031	C₂³	semidirect
342. #23414	C₂³	semidirect
344. C₂×#2010	C₂³	semidirect
345. #23412	C₂³	semidirect
346. #23412	C₂³	semidirect
347. C₂×#2008	C₂³	semidirect
348. C₂×#2008	C₂³	semidirect
349. #23402	C₂³	semidirect
350. #23402	C₂³	semidirect
351. #23400	C₂³	semidirect
352. #23400	C₂³	semidirect
353. #23399	C₂³	semidirect
354. #23399	C₂³	semidirect
355. C₂×#2002	C₂³	semidirect
356. C₂×#2002	C₂³	semidirect
357. #23362	C₂³	semidirect
358. #23361	C₂³	semidirect
359. #23361	C₂³	semidirect
360. #23360	C₂³	semidirect
361. #21080	C₂³	semidirect
362. C₂×#1932	C₂³	semidirect
363. #21009	C₂³	semidirect
364. C₂×#1910	C₂³	semidirect
365. #21000	C₂³	semidirect
366. C₂×#1906	C₂³	semidirect
367. #20998	C₂³	semidirect
368. #20998	C₂³	semidirect
369. C₂×#1904	C₂³	semidirect
370. C₂×#1904	C₂³	semidirect
371. #20995	C₂³	semidirect
372. #20995	C₂³	semidirect
373. C₂×#1903	C₂³	semidirect
374. C₂×#1903	C₂³	semidirect
375. #20980	C₂³	semidirect
376. #20980	C₂³	semidirect
377. #20979	C₂³	semidirect
378. C₂×#1896	C₂³	semidirect
379. #20964	C₂³	semidirect
380. #20964	C₂³	semidirect
381. C₂×#1891	C₂³	semidirect
382. C₂×#1891	C₂³	semidirect
383. #20956	C₂³	semidirect
384. #20956	C₂³	semidirect
385. #20953	C₂³	semidirect
386. #20953	C₂³	semidirect
387. #20952	C₂³	semidirect
388. #20952	C₂³	semidirect
389. C₂×#1887	C₂³	semidirect
390. C₂×#1887	C₂³	semidirect
391. #20947	C₂³	semidirect
392. C₂×#1884	C₂³	semidirect
393. #20867	C₂³	semidirect
394. C₂×#1861	C₂³	semidirect
395. #20776	C₂³	semidirect
396. C₂×#1841	C₂³	semidirect
397. #20708	C₂³	semidirect
398. C₂×#1827	C₂³	semidirect
399. #20623	C₂³	semidirect
400. C₂×#1795	C₂³	semidirect
401. #20592	C₂³	semidirect
402. #20592	C₂³	semidirect
403. #20591	C₂³	semidirect
404. C₂×#1783	C₂³	semidirect
427. C₂×#577	C₂×D₄	semidirect
428. C₂×#576	C₂×D₄	semidirect
445. #3500	C₂×D₄	semidirect
446. #3499	C₂×D₄	semidirect
449. #3498	C₂×D₄	semidirect
503. #3155	C₂×D₄	semidirect
504. #3154	C₂×D₄	semidirect
505. #3153	C₂×D₄	semidirect
508. #3152	C₂×D₄	semidirect
511. #3151	C₂×D₄	semidirect
512. #3151	C₂×D₄	semidirect
513. #3151	C₂×D₄	semidirect
518. #3150	C₂×D₄	semidirect
519. C₂×#496	C₂×D₄	semidirect
520. #3147	C₂×D₄	semidirect
521. C₂×#493	C₂×D₄	semidirect
522. C₂×#492	C₂×D₄	semidirect
608. #2875	C₂×D₄	semidirect
609. C₄×#131	C₂×D₄	semidirect
734. C₂×#137	C₂²×D₄	semidirect
739. C₂×AGL(1,ℤ/8)	C₂²×D₄	semidirect
740. C₂×AGL(1,ℤ/8)	C₂²×D₄	semidirect
745. C₂×#135	C₂²×D₄	semidirect
746. C₂²×SD₁₆	C₂²×D₄	semidirect
747. C₂²×D₈	C₂²×D₄	semidirect
755. #536	C₂²×D₄	semidirect
758. #535	C₂²×D₄	semidirect
764. #532	C₂²×D₄	semidirect
765. #532	C₂²×D₄	semidirect
768. C₂×C₄⋊Q₈	C₂²×D₄	semidirect
774. C₂×#127	C₂²×D₄	semidirect
781. C₂×#124	C₂²×D₄	semidirect
808. #497	C₂²×D₄	semidirect
809. #497	C₂²×D₄	semidirect
810. #496	C₂²×D₄	semidirect
811. #496	C₂²×D₄	semidirect
812. #496	C₂²×D₄	semidirect
813. #495	C₂²×D₄	semidirect
814. #494	C₂²×D₄	semidirect
815. #493	C₂²×D₄	semidirect
816. #493	C₂²×D₄	semidirect
817. #492	C₂²×D₄	semidirect
818. #492	C₂²×D₄	semidirect
819. #492	C₂²×D₄	semidirect
853. #405	C₂²×D₄	semidirect
854. C₄×M₁₆	C₂²×D₄	semidirect
855. C₄×M₁₆	C₂²×D₄	semidirect
860. C₂×#97	C₂²×D₄	semidirect
861. C₂×C₄×C₈	C₂²×D₄	semidirect

Maximal subgroups

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

subgroup	index
#72338582	2
#72338581	2
#72338580	2
#72338578	2
#72319204	2
#72319063	2
#72319030	2
#72317757	2
#72307055	2
#72307042	2
#72306954	2
#72306939	2
#72306905	2
#72279606	2
#72252020	2
C₂×#7487865	2
#72233774	2
#72216138	2
#72215721	2