Subgroups — #72335071

Order 2048.

At least 6788 conjugacy classes of subgroups; only the 7776 normal subgroups are shown.

The subgroup lattice has 765 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72335058	C₂	1	4	yes	maximal, complemented
2	#72335057	C₂	1	1	yes	maximal, characteristic, complemented
3	#72335033	C₂	1	4	yes	maximal, complemented
4	#72335032	C₂	1	4	yes	maximal, complemented
5	#72334949	C₂	1	1	yes	maximal, characteristic, complemented
6	#72334395	C₂	1	2	yes	maximal, complemented
7	#72328359	C₂	1	1	yes	maximal, characteristic, complemented
8	#72302231	C₂	1	2	yes	maximal, complemented
9	#72298486	C₂	1	1	yes	maximal, characteristic, complemented
10	#72298443	C₂	1	2	yes	maximal, complemented
11	C₂×#4420586	C₂	1	4	yes	maximal, complemented
12	#72293990	C₂	1	4	yes	maximal, complemented
13	C₂×#635984	C₂	1	1	yes	maximal, characteristic, complemented
14	#72251033	C₂	1	16	yes	maximal, complemented
15	#72250287	C₂	1	4	yes	maximal, complemented
16	#72250276	C₂	1	4	yes	maximal, complemented
17	#72240113	C₂	1	4	yes	maximal, complemented
18	C₂×#612424	C₂	1	2	yes	maximal, complemented
19	C₂⁴×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
20	#72218795	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂⁶×D₄	C₂²	1	2	yes	—
22	C₂⁶×D₄	C₂²	1	2	yes	complemented
23	C₂³×D₄²	C₂²	1	4	yes	—
24	C₂³×D₄²	C₂²	1	4	yes	—
25	C₂³×D₄²	C₂²	1	8	yes	complemented
26	C₂⁴×#127	C₂²	1	1	yes	characteristic
27	C₂⁴×#121	C₂²	1	2	yes	—
28	C₂⁴×#121	C₂²	1	2	yes	complemented
29	C₂⁴×#120	C₂²	1	1	yes	characteristic
30	C₂⁴×#120	C₂²	1	1	yes	characteristic
31	C₂⁴×#120	C₂²	1	2	yes	complemented
32	C₂⁴×#120	C₂²	1	1	yes	characteristic, complemented
33	C₂⁴×C₄×D₄	C₂²	1	2	yes	complemented
34	C₂²×#2846	C₂²	1	4	yes	complemented
35	C₂²×#2846	C₂²	1	2	yes	complemented
36	C₂²×#2405	C₂²	1	1	yes	characteristic, complemented
37	C₂²×#2403	C₂²	1	4	yes	complemented
38	C₂²×#2403	C₂²	1	2	yes	complemented
39	C₂²×#2403	C₂²	1	2	yes	complemented
40	C₂²×#2403	C₂²	1	1	yes	characteristic, complemented
41	C₂²×#2403	C₂²	1	4	yes	complemented
42	C₂²×#2613	C₂²	1	2	yes	complemented
43	C₂×#16258	C₂²	1	16	yes	complemented
44	C₂×#16249	C₂²	1	8	yes	complemented
45	C₂×#16249	C₂²	1	16	yes	complemented
46	C₂×#15984	C₂²	1	8	yes	complemented
47	C₂×#15948	C₂²	1	4	yes	complemented
48	C₂×#15947	C₂²	1	4	yes	complemented
49	C₂×#15261	C₂²	1	4	yes	complemented
50	C₂×#15258	C₂²	1	4	yes	complemented
51	C₂×#15257	C₂²	1	8	yes	complemented
52	C₂×#14911	C₂²	1	2	yes	complemented
53	C₂×#14730	C₂²	1	16	yes	complemented
54	C₂×#14724	C₂²	1	2	yes	complemented
55	C₂×#14718	C₂²	1	4	yes	complemented
56	C₂×#14715	C₂²	1	4	yes	—
57	C₂×#14715	C₂²	1	8	yes	complemented
58	C₂×#14715	C₂²	1	8	yes	complemented
59	C₂×#14715	C₂²	1	16	yes	complemented
60	C₂×#14715	C₂²	1	16	yes	complemented
61	C₂×#14715	C₂²	1	4	yes	complemented
62	C₂×#14715	C₂²	1	4	yes	complemented
63	C₂×#14715	C₂²	1	2	yes	complemented
64	C₂×#14715	C₂²	1	4	yes	complemented
65	C₂×#14715	C₂²	1	4	yes	complemented
66	C₂×#14715	C₂²	1	2	yes	complemented
67	C₂×#14694	C₂²	1	4	yes	complemented
68	C₂×#14694	C₂²	1	4	yes	complemented
69	C₂×#14681	C₂²	1	4	yes	complemented
70	C₂×#14679	C₂²	1	2	yes	complemented
71	C₂×#14679	C₂²	1	1	yes	characteristic, complemented
72	C₂×#14679	C₂²	1	4	yes	complemented
73	C₂×#14679	C₂²	1	2	yes	complemented
74	C₂×#14657	C₂²	1	4	yes	complemented
75	C₂×#14335	C₂²	1	8	yes	complemented
76	C₂×#14335	C₂²	1	8	yes	complemented
77	C₂×#14255	C₂²	1	2	yes	complemented
78	C₂×#13869	C₂²	1	1	yes	characteristic, complemented
79	C₂×#13867	C₂²	1	4	yes	complemented
80	C₂×#13867	C₂²	1	4	yes	complemented
81	C₂×#13867	C₂²	1	2	yes	complemented
82	C₂×#13867	C₂²	1	2	yes	complemented
83	C₂×#13867	C₂²	1	1	yes	characteristic, complemented
84	#158327	C₂²	1	8	yes	complemented
85	#158314	C₂²	1	8	yes	complemented
86	#156854	C₂²	1	16	yes	complemented
87	#156854	C₂²	1	16	yes	complemented
88	#156706	C₂²	1	16	yes	complemented
89	#156706	C₂²	1	16	yes	complemented
90	#156688	C₂²	1	16	yes	complemented
91	#156688	C₂²	1	8	yes	complemented
92	#156684	C₂²	1	8	yes	complemented
93	#156684	C₂²	1	16	yes	complemented
94	#155624	C₂²	1	16	yes	complemented
95	#155622	C₂²	1	4	yes	complemented
96	#155622	C₂²	1	8	yes	complemented
97	#155622	C₂²	1	16	yes	complemented
98	#154763	C₂²	1	4	yes	complemented
99	#154763	C₂²	1	4	yes	complemented
100	#154674	C₂²	1	8	yes	complemented
101	#154674	C₂²	1	8	yes	complemented
102	#154670	C₂²	1	4	yes	complemented
103	#154670	C₂²	1	4	yes	complemented
104	#154634	C₂²	1	16	yes	complemented
105	#154467	C₂²	1	16	yes	complemented
106	#154251	C₂²	1	4	yes	complemented
107	#154248	C₂²	1	4	yes	complemented
108	#154200	C₂²	1	4	yes	complemented
109	#154200	C₂²	1	2	yes	complemented
110	#154195	C₂²	1	4	yes	complemented
111	#154195	C₂²	1	4	yes	complemented
112	#154195	C₂²	1	2	yes	complemented
113	#154194	C₂²	1	4	yes	complemented
114	#154098	C₂²	1	16	yes	complemented
115	#154096	C₂²	1	2	yes	complemented
116	#154096	C₂²	1	4	yes	complemented
117	#154094	C₂²	1	4	yes	complemented
118	#154094	C₂²	1	8	yes	complemented
119	#154094	C₂²	1	16	yes	complemented
120	#154094	C₂²	1	8	yes	complemented
121	#154094	C₂²	1	16	yes	complemented
122	#154094	C₂²	1	2	yes	complemented
123	#154094	C₂²	1	2	yes	complemented
124	#154094	C₂²	1	4	yes	complemented
125	#154094	C₂²	1	2	yes	complemented
126	#154094	C₂²	1	1	yes	characteristic, complemented
127	#154094	C₂²	1	4	yes	complemented
128	#154094	C₂²	1	4	yes	complemented
129	#154094	C₂²	1	2	yes	complemented
130	#154094	C₂²	1	1	yes	characteristic, complemented
131	#154094	C₂²	1	4	yes	complemented
132	#154088	C₂²	1	2	yes	complemented
133	#154086	C₂²	1	2	yes	complemented
134	#154077	C₂²	1	4	yes	complemented
135	C₂⁸	C₂³	1	1	yes	characteristic
136	C₂⁸	C₂³	1	2	yes	—
137	C₂⁸	C₂³	1	1	yes	characteristic
138	C₂⁵×D₄	D₄	1	32	yes	complemented
139	C₂⁵×D₄	C₂³	1	2	yes	—
140	C₂⁵×D₄	C₂³	1	2	yes	—
141	C₂⁵×D₄	C₂³	1	2	yes	—
142	C₂⁵×D₄	C₂³	1	8	yes	—
143	C₂⁵×D₄	C₂³	1	2	yes	—
144	C₂⁵×D₄	C₂³	1	2	yes	—
145	C₂⁵×D₄	C₂³	1	4	yes	—
146	C₂⁵×D₄	C₂³	1	4	yes	—
147	C₂⁵×D₄	C₂³	1	1	yes	characteristic
148	C₂⁵×D₄	C₂³	1	2	yes	—
149	C₂⁵×D₄	C₂³	1	2	yes	—
150	C₂⁵×D₄	C₂³	1	4	yes	—
151	C₂⁵×D₄	C₂³	1	8	yes	—
152	C₂⁵×D₄	C₂³	1	1	yes	characteristic
153	C₂⁵×D₄	C₂³	1	1	yes	characteristic
154	C₂⁵×D₄	C₂³	1	4	yes	—
155	C₂⁵×D₄	C₂³	1	1	yes	characteristic, complemented
156	C₂⁵×D₄	C₂³	1	1	yes	characteristic, complemented
157	C₂⁶×C₄	C₂³	1	2	yes	—
158	C₂⁶×C₄	C₂³	1	2	yes	—
159	C₂²×D₄²	D₄	1	64	yes	complemented
160	C₂³×#127	C₂³	1	4	yes	—
161	C₂³×#127	C₂³	1	4	yes	—
162	C₂³×#123	C₂³	1	2	yes	complemented
163	C₂³×#121	C₂³	1	8	yes	—
164	C₂³×#121	C₂³	1	8	yes	—
165	C₂³×#121	C₂³	1	8	yes	—
166	C₂³×#121	C₂³	1	8	yes	—
167	C₂³×#120	D₄	1	16	yes	complemented
168	C₂³×#120	C₂³	1	4	yes	—
169	C₂³×#120	C₂³	1	8	yes	—
170	C₂³×#120	C₂³	1	4	yes	—
171	C₂³×#120	C₂³	1	2	yes	—
172	C₂³×#120	C₂³	1	4	yes	—
173	C₂³×#120	C₂³	1	8	yes	—
174	C₂³×#120	C₂³	1	4	yes	—
175	C₂³×#120	C₂³	1	4	yes	—
176	C₂³×#120	C₂³	1	2	yes	—
177	C₂³×#120	C₂³	1	4	yes	—
178	C₂³×#120	C₂³	1	2	yes	—
179	C₂³×#120	C₂³	1	4	yes	complemented
180	C₂³×#120	C₂³	1	4	yes	complemented
181	C₂³×#120	C₂³	1	4	yes	complemented
182	C₂³×#120	C₂³	1	2	yes	complemented
183	C₂³×#120	C₂³	1	8	yes	complemented
184	C₂³×#120	C₂³	1	8	yes	complemented
185	C₂³×#120	C₂³	1	8	yes	complemented
186	C₂³×C₄×D₄	C₂³	1	8	yes	—
187	C₂³×C₄×D₄	C₂³	1	8	yes	—
188	C₂⁴×C₄⋊C₄	C₂³	1	2	yes	—
189	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
190	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
191	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
192	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
193	C₂⁴×C₂²⋊C₄	C₂³	1	2	yes	—
194	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic
195	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
196	C₂⁴×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
197	C₂⁴×C₄²	C₂³	1	1	yes	characteristic
198	C₂²×#394	C₂³	1	8	yes	complemented
199	C₂²×#394	C₂³	1	4	yes	complemented
200	C₂²×#394	C₂³	1	8	yes	complemented
201	C₂²×#392	C₂³	1	8	yes	—
202	C₂²×#392	C₂³	1	8	yes	—
203	C₂²×#392	C₂³	1	8	yes	complemented
204	C₂²×#392	C₂³	1	8	yes	complemented
205	C₂²×#392	C₂³	1	8	yes	complemented
206	C₂²×#392	C₂³	1	8	yes	complemented
207	C₂²×#392	C₂³	1	4	yes	complemented
208	C₂²×#392	C₂³	1	16	yes	complemented
209	C₂²×#392	C₂³	1	16	yes	complemented
210	C₂²×#392	C₂³	1	8	yes	complemented
211	C₂²×#392	C₂³	1	8	yes	complemented
212	C₂²×#392	C₂³	1	8	yes	complemented
213	C₂²×#386	C₂³	1	4	yes	—
214	C₂²×#386	C₂³	1	2	yes	—
215	C₂²×#386	C₂³	1	4	yes	—
216	C₂²×#386	C₂³	1	4	yes	—
217	C₂²×#386	C₂³	1	4	yes	complemented
218	C₂²×#386	C₂³	1	4	yes	complemented
219	C₂²×#386	C₂³	1	8	yes	complemented
220	C₂²×#386	C₂³	1	8	yes	complemented
221	C₂²×#386	C₂³	1	16	yes	complemented
222	C₂²×#386	C₂³	1	4	yes	complemented
223	C₂²×#386	C₂³	1	4	yes	complemented
224	C₂²×#386	C₂³	1	2	yes	complemented
225	C₂²×#386	C₂³	1	4	yes	complemented
226	C₂²×#386	C₂³	1	4	yes	complemented
227	C₂²×#386	C₂³	1	2	yes	complemented
228	C₂²×#385	C₂³	1	2	yes	—
229	C₂²×#381	C₂³	1	2	yes	complemented
230	C₂²×#381	C₂³	1	16	yes	complemented
231	C₂²×#379	C₂³	1	2	yes	—
232	C₂²×#379	C₂³	1	4	yes	—
233	C₂²×#379	C₂³	1	4	yes	—
234	C₂²×#379	C₂³	1	1	yes	characteristic
235	C₂²×#379	C₂³	1	2	yes	—
236	C₂²×#379	C₂³	1	2	yes	—
237	C₂²×#379	C₂³	1	1	yes	characteristic
238	C₂²×#379	C₂³	1	4	yes	—
239	C₂²×#379	C₂³	1	4	yes	—
240	C₂²×#379	C₂³	1	4	yes	—
241	C₂²×#379	C₂³	1	4	yes	—
242	C₂²×#379	C₂³	1	4	yes	—
243	C₂²×#379	C₂³	1	4	yes	—
244	C₂²×#379	C₂³	1	4	yes	—
245	C₂²×#379	C₂³	1	2	yes	—
246	C₂²×#379	C₂³	1	2	yes	—
247	C₂²×#379	C₂³	1	2	yes	complemented
248	C₂²×#379	C₂³	1	4	yes	complemented
249	C₂²×#379	C₂³	1	2	yes	complemented
250	C₂²×#379	C₂³	1	8	yes	complemented
251	C₂²×#379	C₂³	1	4	yes	complemented
252	C₂²×#379	C₂³	1	4	yes	complemented
253	C₂²×#379	C₂³	1	16	yes	complemented
254	C₂²×#379	C₂³	1	4	yes	complemented
255	C₂²×#379	C₂³	1	8	yes	complemented
256	C₂²×#379	C₂³	1	8	yes	complemented
257	C₂²×#379	C₂³	1	4	yes	complemented
258	C₂²×#379	C₂³	1	2	yes	complemented
259	C₂²×#379	C₂³	1	8	yes	complemented
260	C₂²×#379	C₂³	1	8	yes	complemented
261	C₂²×#379	C₂³	1	16	yes	complemented
262	C₂×#1442	C₂³	1	16	yes	complemented
263	C₂×#1440	C₂³	1	4	yes	complemented
264	C₂×#1440	C₂³	1	8	yes	complemented
265	C₂×#1440	C₂³	1	8	yes	complemented
266	C₂×#1440	C₂³	1	16	yes	complemented
267	C₂×#1440	C₂³	1	16	yes	complemented
268	C₂×#1440	C₂³	1	8	yes	complemented
269	C₂×#1439	C₂³	1	16	yes	complemented
270	C₂×#1439	C₂³	1	16	yes	complemented
271	C₂×#1439	C₂³	1	8	yes	complemented
272	C₂×#1438	C₂³	1	16	yes	—
273	C₂×#1438	C₂³	1	8	yes	—
274	C₂×#1438	C₂³	1	8	yes	—
275	C₂×#1438	C₂³	1	16	yes	—
276	C₂×#1438	C₂³	1	8	yes	complemented
277	C₂×#1438	C₂³	1	16	yes	complemented
278	C₂×#1438	C₂³	1	16	yes	complemented
279	C₂×#1438	C₂³	1	8	yes	complemented
280	C₂×#1438	C₂³	1	8	yes	complemented
281	C₂×#1438	C₂³	1	8	yes	complemented
282	C₂×#1438	C₂³	1	4	yes	complemented
283	C₂×#1438	C₂³	1	8	yes	complemented
284	C₂×#1438	C₂³	1	8	yes	complemented
285	C₂×#1438	C₂³	1	8	yes	complemented
286	C₂×#1438	C₂³	1	16	yes	complemented
287	C₂×#1438	C₂³	1	4	yes	complemented
288	C₂×#1438	C₂³	1	16	yes	complemented
289	C₂×#1438	C₂³	1	4	yes	complemented
290	C₂×#1438	C₂³	1	8	yes	complemented
291	C₂×#1438	C₂³	1	16	yes	complemented
292	C₂×#1438	C₂³	1	8	yes	complemented
293	C₂×#1438	C₂³	1	8	yes	complemented
294	C₂×#1438	C₂³	1	8	yes	complemented
295	C₂×#1438	C₂³	1	8	yes	complemented
296	C₂×#1438	C₂³	1	16	yes	complemented
297	C₂×#1438	C₂³	1	8	yes	complemented
298	C₂×#1438	C₂³	1	8	yes	complemented
299	C₂×#1438	C₂³	1	16	yes	complemented
300	C₂×#1438	C₂³	1	16	yes	complemented
301	C₂×#1438	C₂³	1	8	yes	complemented
302	C₂×#1438	C₂³	1	8	yes	complemented
303	C₂×#1438	C₂³	1	16	yes	complemented
304	C₂×#1438	C₂³	1	8	yes	complemented
305	C₂×#1438	C₂³	1	16	yes	complemented
306	C₂×#1438	C₂³	1	16	yes	complemented
307	C₂×#1438	C₂³	1	8	yes	complemented
308	C₂×#1438	C₂³	1	16	yes	complemented
309	C₂×#1438	C₂³	1	4	yes	complemented
310	C₂×#1438	C₂³	1	4	yes	complemented
311	C₂×#1437	C₂³	1	8	yes	complemented
312	C₂×#1436	C₂³	1	8	yes	complemented
313	C₂×C₂²⋊#95	C₂³	1	4	yes	—
314	C₂×C₂²⋊#95	C₂³	1	4	yes	—
315	C₂×C₂²⋊#95	C₂³	1	4	yes	—
316	C₂×C₂²⋊#95	C₂³	1	4	yes	—
317	C₂×C₂²⋊#95	C₂³	1	4	yes	—
318	C₂×C₂²⋊#95	C₂³	1	4	yes	—
319	C₂×C₂²⋊#95	C₂³	1	4	yes	—
320	C₂×C₂²⋊#95	C₂³	1	2	yes	—
321	C₂×C₂²⋊#95	C₂³	1	2	yes	—
322	C₂×C₂²⋊#95	C₂³	1	4	yes	—
323	C₂×C₂²⋊#95	C₂³	1	4	yes	—
324	C₂×C₂²⋊#95	C₂³	1	2	yes	complemented
325	C₂×C₂²⋊#95	C₂³	1	2	yes	complemented
326	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
327	C₂×C₂²⋊#95	C₂³	1	8	yes	complemented
328	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
329	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
330	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
331	C₂×C₂²⋊#95	C₂³	1	16	yes	complemented
332	#7557	C₂³	1	16	yes	complemented
333	#7557	C₂³	1	16	yes	complemented
334	#7555	C₂³	1	16	yes	complemented
335	#7555	C₂³	1	16	yes	complemented
336	#7555	C₂³	1	16	yes	complemented
337	#7555	C₂³	1	16	yes	complemented
338	#7555	C₂³	1	8	yes	complemented
339	#7555	C₂³	1	8	yes	complemented
340	#7555	C₂³	1	16	yes	complemented
341	#7555	C₂³	1	8	yes	complemented
342	#7554	C₂³	1	8	yes	complemented
343	#7554	C₂³	1	8	yes	complemented
344	C₂⁷	C₂×D₄	1	16	yes	—
345	C₂⁷	C₂×D₄	1	8	yes	—
346	C₂⁷	C₂×D₄	1	16	yes	—
347	C₂⁷	C₂⁴	1	2	yes	—
348	C₂⁷	C₂⁴	1	2	yes	—
349	C₂⁷	C₂⁴	1	2	yes	—
350	C₂⁷	C₂⁴	1	1	yes	characteristic
351	C₂⁷	C₂⁴	1	1	yes	characteristic
352	C₂⁷	C₂⁴	1	4	yes	—
353	C₂⁷	C₂⁴	1	4	yes	—
354	C₂⁷	C₂⁴	1	1	yes	characteristic
355	C₂⁷	C₂⁴	1	1	yes	characteristic
356	C₂⁷	C₂⁴	1	2	yes	—
357	C₂⁷	C₂⁴	1	4	yes	—
358	C₂⁷	C₂⁴	1	1	yes	characteristic
359	C₂⁴×D₄	C₂×D₄	1	16	yes	—
360	C₂⁴×D₄	C₂×D₄	1	16	yes	—
361	C₂⁴×D₄	C₂×D₄	1	16	yes	—
362	C₂⁴×D₄	C₂×D₄	1	32	yes	—
363	C₂⁴×D₄	C₂×D₄	1	32	yes	—
364	C₂⁴×D₄	C₂×D₄	1	16	yes	—
365	C₂⁴×D₄	C₂×D₄	1	16	yes	—
366	C₂⁴×D₄	C₂×D₄	1	32	yes	—
367	C₂⁴×D₄	C₂×D₄	1	8	yes	—
368	C₂⁴×D₄	C₂×D₄	1	32	yes	—
369	C₂⁴×D₄	C₂×D₄	1	64	yes	—
370	C₂⁴×D₄	C₂×D₄	1	64	yes	complemented
371	C₂⁴×D₄	C₂⁴	1	2	yes	—
372	C₂⁴×D₄	C₂⁴	1	4	yes	—
373	C₂⁴×D₄	C₂⁴	1	4	yes	—
374	C₂⁴×D₄	C₂⁴	1	4	yes	—
375	C₂⁴×D₄	C₂⁴	1	4	yes	—
376	C₂⁴×D₄	C₂⁴	1	4	yes	—
377	C₂⁴×D₄	C₂⁴	1	8	yes	—
378	C₂⁴×D₄	C₂⁴	1	4	yes	—
379	C₂⁴×D₄	C₂⁴	1	8	yes	—
380	C₂⁴×D₄	C₂⁴	1	4	yes	—
381	C₂⁴×D₄	C₂⁴	1	4	yes	—
382	C₂⁴×D₄	C₂⁴	1	8	yes	—
383	C₂⁴×D₄	C₂⁴	1	4	yes	—
384	C₂⁴×D₄	C₂⁴	1	4	yes	—
385	C₂⁴×D₄	C₂⁴	1	2	yes	—
386	C₂⁴×D₄	C₂⁴	1	4	yes	—
387	C₂⁴×D₄	C₂⁴	1	2	yes	—
388	C₂⁴×D₄	C₂⁴	1	8	yes	—
389	C₂⁴×D₄	C₂⁴	1	4	yes	—
390	C₂⁴×D₄	C₂⁴	1	4	yes	—
391	C₂⁴×D₄	C₂⁴	1	4	yes	—
392	C₂⁴×D₄	C₂⁴	1	2	yes	—
393	C₂⁵×C₄	C₂×D₄	1	16	yes	—
394	C₂⁵×C₄	C₂⁴	1	2	yes	—
395	C₂⁵×C₄	C₂⁴	1	2	yes	—
396	C₂⁵×C₄	C₂⁴	1	2	yes	—
397	C₂⁵×C₄	C₂⁴	1	4	yes	—
398	C₂⁵×C₄	C₂⁴	1	8	yes	—
399	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
400	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
401	C₂⁵×C₄	C₂⁴	1	4	yes	—
402	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
403	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
404	C₂²×#127	C₂×D₄	1	32	yes	—
405	C₂²×#121	C₂×D₄	1	64	yes	—
406	C₂²×#121	C₂×D₄	1	64	yes	complemented
407	C₂²×#120	C₂×D₄	1	16	yes	—
408	C₂²×#120	C₂×D₄	1	32	yes	—
409	C₂²×#120	C₂×D₄	1	32	yes	—
410	C₂²×#120	C₂×D₄	1	32	yes	—
411	C₂²×#120	C₂×D₄	1	16	yes	—
412	C₂²×#120	C₂×D₄	1	64	yes	complemented
413	C₂²×C₄×D₄	C₂×D₄	1	64	yes	complemented
414	C₂³×C₄⋊C₄	C₂⁴	1	8	yes	—
415	C₂³×C₄⋊C₄	C₂⁴	1	4	yes	—
416	C₂³×C₂²⋊C₄	C₂×D₄	1	8	yes	—
417	C₂³×C₂²⋊C₄	C₂×D₄	1	16	yes	—
418	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
419	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
420	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
421	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
422	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
423	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
424	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
425	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
426	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
427	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
428	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
429	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
430	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
431	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
432	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
433	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
434	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
435	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
436	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
437	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
438	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
439	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
440	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
441	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
442	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
443	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
444	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
445	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
446	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
447	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
448	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
449	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
450	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
451	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
452	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
453	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
454	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
455	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
456	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
457	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
458	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
459	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
460	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
461	C₂³×C₂²⋊C₄	C₂⁴	1	2	yes	—
462	C₂³×C₂²⋊C₄	C₂⁴	1	8	yes	—
463	C₂³×C₂²⋊C₄	C₂⁴	1	16	yes	—
464	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
465	C₂³×C₂²⋊C₄	C₂⁴	1	4	yes	—
466	C₂³×C₄²	C₂⁴	1	4	yes	—
467	C₂²×#95	C₂⁴	1	16	yes	—
468	C₂²×#95	C₂⁴	1	16	yes	—
469	C₂²×#95	C₂⁴	1	8	yes	—
470	C₂²×#95	C₂⁴	1	8	yes	—
471	C₂²×#95	C₂⁴	1	8	yes	—
472	C₂²×#95	C₂⁴	1	8	yes	—
473	C₂²×#95	C₂⁴	1	8	yes	—
474	C₂²×#95	C₂⁴	1	4	yes	—
475	C₂²×#95	C₂⁴	1	4	yes	—
476	C₂²×#95	C₂⁴	1	16	yes	—
477	C₂²×#95	C₂⁴	1	16	yes	—
478	C₂²×#95	C₂⁴	1	8	yes	—
479	C₂²×#95	C₂⁴	1	16	yes	—
480	C₂²×#95	C₂⁴	1	8	yes	—
481	C₂²×#95	C₂⁴	1	8	yes	—
482	C₂²×#95	C₂⁴	1	8	yes	—
483	C₂²×#95	C₂⁴	1	16	yes	—
484	C₂²×#95	C₂⁴	1	8	yes	—
485	C₂²×#95	C₂⁴	1	8	yes	—
486	C₂⁶	#120	1	64	yes	complemented
487	C₂⁶	C₂²×D₄	1	8	yes	—
488	C₂⁶	C₂²×D₄	1	8	yes	—
489	C₂⁶	C₂²×D₄	1	8	yes	—
490	C₂⁶	C₂²×D₄	1	8	yes	—
491	C₂⁶	C₂²×D₄	1	8	yes	—
492	C₂⁶	C₂²×D₄	1	4	yes	—
493	C₂⁶	C₂²×D₄	1	4	yes	—
494	C₂⁶	C₂²×D₄	1	8	yes	—
495	C₂⁶	C₂²×D₄	1	16	yes	—
496	C₂⁶	C₂²×D₄	1	16	yes	—
497	C₂⁶	C₂²×D₄	1	4	yes	—
498	C₂⁶	C₂²×D₄	1	8	yes	—
499	C₂⁶	C₂²×D₄	1	8	yes	—
500	C₂⁶	C₂²×D₄	1	8	yes	—
501	C₂⁶	C₂²×D₄	1	16	yes	—
502	C₂⁶	C₂²×D₄	1	8	yes	—
503	C₂⁶	C₂²×D₄	1	32	yes	—
504	C₂⁶	C₂²×D₄	1	4	yes	—
505	C₂⁶	C₂²×D₄	1	16	yes	—
506	C₂⁶	C₂²×D₄	1	8	yes	—
507	C₂⁶	H(5,𝔽₂)	1	16	yes	—
508	C₂⁶	C₂⁵	1	2	yes	—
509	C₂⁶	C₂⁵	1	2	yes	—
510	C₂⁶	C₂⁵	1	4	yes	—
511	C₂⁶	C₂⁵	1	1	yes	characteristic
512	C₂⁶	C₂⁵	1	1	yes	characteristic
513	C₂⁶	C₂⁵	1	2	yes	—
514	C₂⁶	C₂⁵	1	4	yes	—
515	C₂⁶	C₂⁵	1	2	yes	—
516	C₂⁶	C₂⁵	1	1	yes	characteristic
517	C₂³×D₄	#120	1	256	yes	complemented
518	C₂³×D₄	C₂²×D₄	1	32	yes	—
519	C₂³×D₄	C₂²×D₄	1	16	yes	—
520	C₂³×D₄	C₂²×D₄	1	16	yes	—
521	C₂³×D₄	C₂²×D₄	1	16	yes	—
522	C₂³×D₄	C₂²×D₄	1	32	yes	—
523	C₂³×D₄	C₂²×D₄	1	32	yes	—
524	C₂³×D₄	C₂²×D₄	1	16	yes	—
525	C₂³×D₄	C₂²×D₄	1	16	yes	—
526	C₂³×D₄	C₂²×D₄	1	16	yes	—
527	C₂³×D₄	C₂²×D₄	1	32	yes	—
528	C₂³×D₄	C₂²×D₄	1	32	yes	—
529	C₂³×D₄	C₂²×D₄	1	16	yes	—
530	C₂³×D₄	C₂²×D₄	1	16	yes	—
531	C₂³×D₄	C₂²×D₄	1	16	yes	—
532	C₂³×D₄	C₂²×D₄	1	8	yes	—
533	C₂³×D₄	C₂²×D₄	1	32	yes	—
534	C₂³×D₄	C₂²×D₄	1	16	yes	—
535	C₂³×D₄	C₂²×D₄	1	32	yes	—
536	C₂³×D₄	C₂²×D₄	1	16	yes	—
537	C₂³×D₄	C₂²×D₄	1	16	yes	—
538	C₂³×D₄	C₂²×D₄	1	8	yes	—
539	C₂³×D₄	H(5,𝔽₂)	1	8	yes	—
540	C₂³×D₄	H(5,𝔽₂)	1	32	yes	—
541	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
542	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
543	C₂⁴×C₄	C₂²×D₄	1	32	yes	—
544	C₂⁴×C₄	C₂²×D₄	1	8	yes	—
545	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
546	C₂⁴×C₄	C₂²×D₄	1	4	yes	—
547	C₂⁴×C₄	C₂²×D₄	1	32	yes	—
548	C₂⁴×C₄	C₂²×D₄	1	16	yes	—
549	C₂⁴×C₄	H(5,𝔽₂)	1	16	yes	—
550	C₂⁴×C₄	C₂⁵	1	8	yes	—
551	C₂⁴×C₄	C₂⁵	1	8	yes	—
552	C₂⁴×C₄	C₂⁵	1	4	yes	—
553	C₂⁴×C₄	C₂⁵	1	4	yes	—
554	C₂⁴×C₄	C₂⁵	1	2	yes	—
555	C₂⁴×C₄	C₂⁵	1	2	yes	—
556	C₂⁴×C₄	C₂⁵	1	2	yes	—
557	C₂⁴×C₄	C₂⁵	1	4	yes	—
558	C₂⁴×C₄	C₂⁵	1	4	yes	—
559	C₂⁴×C₄	C₂⁵	1	2	yes	—
560	C₂⁴×C₄	C₂⁵	1	4	yes	—
561	C₂×#120	#120	1	128	yes	complemented
562	C₂²×C₄⋊C₄	C₂²×D₄	1	32	yes	—
563	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
564	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
565	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
566	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
567	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
568	C₂²×C₂²⋊C₄	C₂²×D₄	1	32	yes	—
569	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
570	C₂²×C₂²⋊C₄	C₂²×D₄	1	16	yes	—
571	C₂²×C₂²⋊C₄	C₂²×D₄	1	8	yes	—
572	C₂²×C₂²⋊C₄	H(5,𝔽₂)	1	8	yes	—
573	C₂²×C₄²	C₂²×D₄	1	16	yes	—
574	C₂⁵	C₂×#120	1	32	yes	—
575	C₂⁵	C₂×#120	1	16	yes	—
576	C₂⁵	C₂×#120	1	16	yes	—
577	C₂⁵	C₂×#120	1	32	yes	—
578	C₂⁵	C₂×#120	1	64	yes	—
579	C₂⁵	C₂×#120	1	16	yes	—
580	C₂⁵	C₂×#120	1	64	yes	—
581	C₂⁵	C₂×#120	1	32	yes	—
582	C₂⁵	#534	1	32	yes	—
583	C₂⁵	C₂³×D₄	1	8	yes	—
584	C₂⁵	C₂³×D₄	1	4	yes	—
585	C₂⁵	C₂³×D₄	1	4	yes	—
586	C₂⁵	C₂³×D₄	1	8	yes	—
587	C₂⁵	C₂³×D₄	1	16	yes	—
588	C₂⁵	C₂³×D₄	1	2	yes	—
589	C₂⁵	C₂³×D₄	1	4	yes	—
590	C₂⁵	C₂³×D₄	1	4	yes	—
591	C₂⁵	C₂³×D₄	1	16	yes	—
592	C₂⁵	C₂³×D₄	1	8	yes	—
593	C₂⁵	C₂³×D₄	1	4	yes	—
594	C₂⁵	C₂³×D₄	1	4	yes	—
595	C₂⁵	C₂³×D₄	1	2	yes	—
596	C₂⁵	C₂³×D₄	1	8	yes	—
597	C₂⁵	C₂³×D₄	1	4	yes	—
598	C₂⁵	C₂³×D₄	1	4	yes	—
599	C₂⁵	C₂³×D₄	1	16	yes	—
600	C₂⁵	C₂³×D₄	1	4	yes	—
601	C₂⁵	C₂³×D₄	1	4	yes	—
602	C₂⁵	C₂³×D₄	1	2	yes	—
603	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
604	C₂⁵	C₂×H(5,𝔽₂)	1	16	yes	—
605	C₂⁵	C₂×H(5,𝔽₂)	1	16	yes	—
606	C₂⁵	C₂×H(5,𝔽₂)	1	16	yes	—
607	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
608	C₂⁵	C₂×H(5,𝔽₂)	1	8	yes	—
609	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
610	C₂⁵	C₂×H(5,𝔽₂)	1	4	yes	—
611	C₂⁵	C₂⁶	1	1	yes	characteristic
612	C₂²×D₄	C₂×#120	1	64	yes	—
613	C₂²×D₄	C₂×#120	1	64	yes	—
614	C₂²×D₄	C₂×#120	1	64	yes	—
615	C₂²×D₄	C₂×#120	1	32	yes	—
616	C₂²×D₄	C₂×#120	1	64	yes	—
617	C₂²×D₄	C₂×#120	1	64	yes	—
618	C₂²×D₄	#534	1	64	yes	—
619	C₂³×C₄	C₂×#120	1	64	yes	—
620	C₂³×C₄	#534	1	32	yes	—
621	C₂³×C₄	C₂³×D₄	1	8	yes	—
622	C₂³×C₄	C₂³×D₄	1	8	yes	—
623	C₂³×C₄	C₂³×D₄	1	4	yes	—
624	C₂³×C₄	C₂³×D₄	1	16	yes	—
625	C₂³×C₄	C₂³×D₄	1	16	yes	—
626	C₂³×C₄	C₂³×D₄	1	8	yes	—
627	C₂³×C₄	C₂³×D₄	1	8	yes	—
628	C₂³×C₄	C₂³×D₄	1	16	yes	—
629	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
630	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
631	C₂³×C₄	C₂×H(5,𝔽₂)	1	4	yes	—
632	C₂³×C₄	C₂×H(5,𝔽₂)	1	16	yes	—
633	C₂³×C₄	C₂×H(5,𝔽₂)	1	16	yes	—
634	C₂×C₂²⋊C₄	C₂×#120	1	64	yes	—
635	C₂×C₂²⋊C₄	C₂×#120	1	32	yes	—
636	C₂⁴	#2846	1	64	yes	complemented
637	C₂⁴	C₂²×#120	1	4	yes	—
638	C₂⁴	C₂²×#120	1	16	yes	—
639	C₂⁴	C₂²×#120	1	8	yes	—
640	C₂⁴	C₂²×#120	1	8	yes	—
641	C₂⁴	C₂²×#120	1	16	yes	—
642	C₂⁴	C₂²×#120	1	16	yes	—
643	C₂⁴	C₂²×#120	1	16	yes	—
644	C₂⁴	C₂²×#120	1	4	yes	—
645	C₂⁴	C₂²×#120	1	16	yes	—
646	C₂⁴	C₂²×#120	1	8	yes	—
647	C₂⁴	C₂²×#120	1	8	yes	—
648	C₂⁴	C₂²×#120	1	16	yes	—
649	C₂⁴	C₂²×#120	1	4	yes	—
650	C₂⁴	C₂×#534	1	16	yes	—
651	C₂⁴	C₂×#534	1	16	yes	—
652	C₂⁴	C₂×#534	1	16	yes	—
653	C₂⁴	C₂×#534	1	8	yes	—
654	C₂⁴	C₂×#534	1	8	yes	—
655	C₂⁴	#3484	1	64	yes	—
656	C₂⁴	#3484	1	16	yes	—
657	C₂⁴	#3484	1	16	yes	—
658	C₂⁴	#3484	1	16	yes	—
659	C₂⁴	#3484	1	4	yes	—
660	C₂⁴	#3484	1	4	yes	—
661	C₂⁴	#3484	1	16	yes	—
662	C₂⁴	#3484	1	16	yes	—
663	C₂⁴	#3532	1	8	yes	—
664	C₂⁴	#3537	1	8	yes	—
665	C₂⁴	#3537	1	16	yes	—
666	C₂⁴	#3543	1	16	yes	—
667	C₂⁴	#3543	1	8	yes	—
668	C₂⁴	#3549	1	8	yes	—
669	C₂⁴	C₂⁴×D₄	1	4	yes	—
670	C₂⁴	C₂⁴×D₄	1	1	yes	characteristic
671	C₂⁴	C₂⁴×D₄	1	2	yes	—
672	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
673	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
674	C₂⁴	C₂²×H(5,𝔽₂)	1	2	yes	—
675	C₂⁴	C₂²×H(5,𝔽₂)	1	4	yes	—
676	C₂⁴	C₂²×H(5,𝔽₂)	1	8	yes	—
677	C₂⁴	H(7,𝔽₂)	1	4	yes	—
678	C₂²×C₄	C₂²×#120	1	16	yes	—
679	C₂²×C₄	C₂²×#120	1	16	yes	—
680	C₂²×C₄	C₂²×#120	1	8	yes	—
681	C₂²×C₄	C₂²×#120	1	16	yes	—
682	C₂²×C₄	C₂×#534	1	16	yes	—
683	C₂²×C₄	C₂×#534	1	16	yes	—
684	C₂²×C₄	#3484	1	64	yes	—
685	C₂³	#34980	1	32	yes	—
686	C₂³	#34980	1	16	yes	—
687	C₂³	#34980	1	16	yes	—
688	C₂³	#35346	1	8	yes	—
689	C₂³	C₂×#2846	1	16	yes	—
690	C₂³	C₂×#2846	1	8	yes	—
691	C₂³	#40584	1	32	yes	—
692	C₂³	#42475	1	32	yes	—
693	C₂³	#47827	1	16	yes	—
694	C₂³	#49545	1	16	yes	—
695	C₂³	C₂³×#120	1	2	yes	—
696	C₂³	C₂³×#120	1	4	yes	—
697	C₂³	C₂³×#120	1	1	yes	characteristic
698	C₂³	C₂²×#534	1	2	yes	—
699	C₂³	C₂²×#534	1	2	yes	—
700	C₂³	C₂²×#534	1	4	yes	—
701	C₂³	C₂×#3532	1	2	yes	—
702	C₂³	C₂×#3537	1	4	yes	—
703	C₂³	C₂×#3537	1	2	yes	—
704	C₂³	C₂×#3543	1	2	yes	—
705	C₂³	C₂×#3543	1	4	yes	—
706	C₂³	C₂×#3549	1	2	yes	—
707	C₂³	C₂×#3484	1	16	yes	—
708	C₂³	C₂×#3484	1	4	yes	—
709	C₂³	C₂×#3484	1	4	yes	—
710	C₂³	C₂×#3484	1	4	yes	—
711	C₂³	C₂×#3484	1	4	yes	—
712	C₂³	C₂×#3484	1	16	yes	—
713	C₂³	C₂×#3484	1	4	yes	—
714	C₂³	C₂×#3484	1	1	yes	characteristic
715	C₂³	C₂×#3484	1	1	yes	characteristic
716	C₂³	#62842	1	4	yes	—
717	C₂³	#62842	1	2	yes	—
718	C₂³	#62892	1	16	yes	—
719	C₂³	#62912	1	16	yes	—
720	C₂³	D₄×H(5,𝔽₂)	1	8	yes	—
721	C₂³	D₄×H(5,𝔽₂)	1	8	yes	—
722	C₂³	#63011	1	8	yes	—
723	C₂³	#63011	1	8	yes	—
724	C₂×C₄	#34980	1	32	yes	—
725	C₂²	#4420586	1	16	yes	complemented
726	C₂²	C₂×#34980	1	4	yes	—
727	C₂²	C₂×#34980	1	2	yes	—
728	C₂²	C₂×#34980	1	2	yes	—
729	C₂²	C₂×#34980	1	4	yes	—
730	C₂²	C₂×#35346	1	1	yes	characteristic
731	C₂²	#7630442	1	1	yes	characteristic
732	C₂²	#7630939	1	8	yes	—
733	C₂²	#7630939	1	8	yes	—
734	C₂²	#7631286	1	8	yes	—
735	C₂²	#7631286	1	2	yes	—
736	C₂²	#7631286	1	2	yes	—
737	C₂²	C₂²×#2846	1	1	yes	characteristic
738	C₂²	C₂×#40584	1	4	yes	—
739	C₂²	C₂×#42475	1	4	yes	—
740	C₂²	#7644628	1	4	yes	—
741	C₂²	#7646026	1	4	yes	—
742	C₂²	#7652795	1	8	yes	—
743	C₂²	#7655557	1	8	yes	—
744	C₂²	C₂×#47827	1	2	yes	—
745	C₂²	C₂×#49545	1	2	yes	—
746	C₂²	#7716427	1	8	yes	—
747	C₂²	#7733149	1	2	yes	—
748	C₂²	#7733149	1	2	yes	—
749	C₂²	#7966198	1	8	yes	—
750	C₂²	#7966357	1	16	yes	—
751	C₂²	#7967779	1	8	yes	—
752	C₂²	#7967934	1	16	yes	—
753	C₂²	#7985088	1	8	yes	—
754	C₂²	#7985555	1	8	yes	—
755	C₂	#72225665	1	1	yes	characteristic
756	C₂	#72233691	1	2	yes	—
757	C₂	#72233702	1	8	yes	—
758	C₂	#72233704	1	4	yes	—
759	C₂	#72233780	1	1	yes	characteristic
760	C₂	#72237109	1	8	yes	—
761	C₂	#72237430	1	4	yes	—
762	C₂	C₂×#4420586	1	1	yes	characteristic
763	C₂	#72334928	1	2	yes	—

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂⁵	C₂⁶
LCS	G ▷ C₂⁵ ▷ C₁
UCS	C₁ ◁ C₂⁵ ◁ G
LECS	G ▷ C₂⁵ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72335058	C₂	semidirect
2. #72335057	C₂	semidirect
3. #72335033	C₂	semidirect
4. #72335032	C₂	semidirect
5. #72334949	C₂	semidirect
6. #72334395	C₂	semidirect
7. #72328359	C₂	semidirect
8. #72302231	C₂	semidirect
9. #72298486	C₂	semidirect
10. #72298443	C₂	semidirect
11. C₂×#4420586	C₂	semidirect
12. #72293990	C₂	semidirect
13. C₂×#635984	C₂	semidirect
14. #72251033	C₂	semidirect
15. #72250287	C₂	semidirect
16. #72250276	C₂	semidirect
17. #72240113	C₂	semidirect
18. C₂×#612424	C₂	semidirect
19. C₂⁴×D₄²	C₂	semidirect
20. #72218795	C₂	semidirect
22. C₂⁶×D₄	C₂²	semidirect
25. C₂³×D₄²	C₂²	semidirect
28. C₂⁴×#121	C₂²	semidirect
31. C₂⁴×#120	C₂²	semidirect
32. C₂⁴×#120	C₂²	semidirect
33. C₂⁴×C₄×D₄	C₂²	semidirect
34. C₂²×#2846	C₂²	semidirect
35. C₂²×#2846	C₂²	semidirect
36. C₂²×#2405	C₂²	semidirect
37. C₂²×#2403	C₂²	semidirect
38. C₂²×#2403	C₂²	semidirect
39. C₂²×#2403	C₂²	semidirect
40. C₂²×#2403	C₂²	semidirect
41. C₂²×#2403	C₂²	semidirect
42. C₂²×#2613	C₂²	semidirect
43. C₂×#16258	C₂²	semidirect
44. C₂×#16249	C₂²	semidirect
45. C₂×#16249	C₂²	semidirect
46. C₂×#15984	C₂²	semidirect
47. C₂×#15948	C₂²	semidirect
48. C₂×#15947	C₂²	semidirect
49. C₂×#15261	C₂²	semidirect
50. C₂×#15258	C₂²	semidirect
51. C₂×#15257	C₂²	semidirect
52. C₂×#14911	C₂²	semidirect
53. C₂×#14730	C₂²	semidirect
54. C₂×#14724	C₂²	semidirect
55. C₂×#14718	C₂²	semidirect
57. C₂×#14715	C₂²	semidirect
58. C₂×#14715	C₂²	semidirect
59. C₂×#14715	C₂²	semidirect
60. C₂×#14715	C₂²	semidirect
61. C₂×#14715	C₂²	semidirect
62. C₂×#14715	C₂²	semidirect
63. C₂×#14715	C₂²	semidirect
64. C₂×#14715	C₂²	semidirect
65. C₂×#14715	C₂²	semidirect
66. C₂×#14715	C₂²	semidirect
67. C₂×#14694	C₂²	semidirect
68. C₂×#14694	C₂²	semidirect
69. C₂×#14681	C₂²	semidirect
70. C₂×#14679	C₂²	semidirect
71. C₂×#14679	C₂²	semidirect
72. C₂×#14679	C₂²	semidirect
73. C₂×#14679	C₂²	semidirect
74. C₂×#14657	C₂²	semidirect
75. C₂×#14335	C₂²	semidirect
76. C₂×#14335	C₂²	semidirect
77. C₂×#14255	C₂²	semidirect
78. C₂×#13869	C₂²	semidirect
79. C₂×#13867	C₂²	semidirect
80. C₂×#13867	C₂²	semidirect
81. C₂×#13867	C₂²	semidirect
82. C₂×#13867	C₂²	semidirect
83. C₂×#13867	C₂²	semidirect
84. #158327	C₂²	semidirect
85. #158314	C₂²	semidirect
86. #156854	C₂²	semidirect
87. #156854	C₂²	semidirect
88. #156706	C₂²	semidirect
89. #156706	C₂²	semidirect
90. #156688	C₂²	semidirect
91. #156688	C₂²	semidirect
92. #156684	C₂²	semidirect
93. #156684	C₂²	semidirect
94. #155624	C₂²	semidirect
95. #155622	C₂²	semidirect
96. #155622	C₂²	semidirect
97. #155622	C₂²	semidirect
98. #154763	C₂²	semidirect
99. #154763	C₂²	semidirect
100. #154674	C₂²	semidirect
101. #154674	C₂²	semidirect
102. #154670	C₂²	semidirect
103. #154670	C₂²	semidirect
104. #154634	C₂²	semidirect
105. #154467	C₂²	semidirect
106. #154251	C₂²	semidirect
107. #154248	C₂²	semidirect
108. #154200	C₂²	semidirect
109. #154200	C₂²	semidirect
110. #154195	C₂²	semidirect
111. #154195	C₂²	semidirect
112. #154195	C₂²	semidirect
113. #154194	C₂²	semidirect
114. #154098	C₂²	semidirect
115. #154096	C₂²	semidirect
116. #154096	C₂²	semidirect
117. #154094	C₂²	semidirect
118. #154094	C₂²	semidirect
119. #154094	C₂²	semidirect
120. #154094	C₂²	semidirect
121. #154094	C₂²	semidirect
122. #154094	C₂²	semidirect
123. #154094	C₂²	semidirect
124. #154094	C₂²	semidirect
125. #154094	C₂²	semidirect
126. #154094	C₂²	semidirect
127. #154094	C₂²	semidirect
128. #154094	C₂²	semidirect
129. #154094	C₂²	semidirect
130. #154094	C₂²	semidirect
131. #154094	C₂²	semidirect
132. #154088	C₂²	semidirect
133. #154086	C₂²	semidirect
134. #154077	C₂²	semidirect
138. C₂⁵×D₄	D₄	semidirect
155. C₂⁵×D₄	C₂³	semidirect
156. C₂⁵×D₄	C₂³	semidirect
159. C₂²×D₄²	D₄	semidirect
162. C₂³×#123	C₂³	semidirect
167. C₂³×#120	D₄	semidirect
179. C₂³×#120	C₂³	semidirect
180. C₂³×#120	C₂³	semidirect
181. C₂³×#120	C₂³	semidirect
182. C₂³×#120	C₂³	semidirect
183. C₂³×#120	C₂³	semidirect
184. C₂³×#120	C₂³	semidirect
185. C₂³×#120	C₂³	semidirect
195. C₂⁴×C₂²⋊C₄	C₂³	semidirect
196. C₂⁴×C₂²⋊C₄	C₂³	semidirect
198. C₂²×#394	C₂³	semidirect
199. C₂²×#394	C₂³	semidirect
200. C₂²×#394	C₂³	semidirect
203. C₂²×#392	C₂³	semidirect
204. C₂²×#392	C₂³	semidirect
205. C₂²×#392	C₂³	semidirect
206. C₂²×#392	C₂³	semidirect
207. C₂²×#392	C₂³	semidirect
208. C₂²×#392	C₂³	semidirect
209. C₂²×#392	C₂³	semidirect
210. C₂²×#392	C₂³	semidirect
211. C₂²×#392	C₂³	semidirect
212. C₂²×#392	C₂³	semidirect
217. C₂²×#386	C₂³	semidirect
218. C₂²×#386	C₂³	semidirect
219. C₂²×#386	C₂³	semidirect
220. C₂²×#386	C₂³	semidirect
221. C₂²×#386	C₂³	semidirect
222. C₂²×#386	C₂³	semidirect
223. C₂²×#386	C₂³	semidirect
224. C₂²×#386	C₂³	semidirect
225. C₂²×#386	C₂³	semidirect
226. C₂²×#386	C₂³	semidirect
227. C₂²×#386	C₂³	semidirect
229. C₂²×#381	C₂³	semidirect
230. C₂²×#381	C₂³	semidirect
247. C₂²×#379	C₂³	semidirect
248. C₂²×#379	C₂³	semidirect
249. C₂²×#379	C₂³	semidirect
250. C₂²×#379	C₂³	semidirect
251. C₂²×#379	C₂³	semidirect
252. C₂²×#379	C₂³	semidirect
253. C₂²×#379	C₂³	semidirect
254. C₂²×#379	C₂³	semidirect
255. C₂²×#379	C₂³	semidirect
256. C₂²×#379	C₂³	semidirect
257. C₂²×#379	C₂³	semidirect
258. C₂²×#379	C₂³	semidirect
259. C₂²×#379	C₂³	semidirect
260. C₂²×#379	C₂³	semidirect
261. C₂²×#379	C₂³	semidirect
262. C₂×#1442	C₂³	semidirect
263. C₂×#1440	C₂³	semidirect
264. C₂×#1440	C₂³	semidirect
265. C₂×#1440	C₂³	semidirect
266. C₂×#1440	C₂³	semidirect
267. C₂×#1440	C₂³	semidirect
268. C₂×#1440	C₂³	semidirect
269. C₂×#1439	C₂³	semidirect
270. C₂×#1439	C₂³	semidirect
271. C₂×#1439	C₂³	semidirect
276. C₂×#1438	C₂³	semidirect
277. C₂×#1438	C₂³	semidirect
278. C₂×#1438	C₂³	semidirect
279. C₂×#1438	C₂³	semidirect
280. C₂×#1438	C₂³	semidirect
281. C₂×#1438	C₂³	semidirect
282. C₂×#1438	C₂³	semidirect
283. C₂×#1438	C₂³	semidirect
284. C₂×#1438	C₂³	semidirect
285. C₂×#1438	C₂³	semidirect
286. C₂×#1438	C₂³	semidirect
287. C₂×#1438	C₂³	semidirect
288. C₂×#1438	C₂³	semidirect
289. C₂×#1438	C₂³	semidirect
290. C₂×#1438	C₂³	semidirect
291. C₂×#1438	C₂³	semidirect
292. C₂×#1438	C₂³	semidirect
293. C₂×#1438	C₂³	semidirect
294. C₂×#1438	C₂³	semidirect
295. C₂×#1438	C₂³	semidirect
296. C₂×#1438	C₂³	semidirect
297. C₂×#1438	C₂³	semidirect
298. C₂×#1438	C₂³	semidirect
299. C₂×#1438	C₂³	semidirect
300. C₂×#1438	C₂³	semidirect
301. C₂×#1438	C₂³	semidirect
302. C₂×#1438	C₂³	semidirect
303. C₂×#1438	C₂³	semidirect
304. C₂×#1438	C₂³	semidirect
305. C₂×#1438	C₂³	semidirect
306. C₂×#1438	C₂³	semidirect
307. C₂×#1438	C₂³	semidirect
308. C₂×#1438	C₂³	semidirect
309. C₂×#1438	C₂³	semidirect
310. C₂×#1438	C₂³	semidirect
311. C₂×#1437	C₂³	semidirect
312. C₂×#1436	C₂³	semidirect
324. C₂×C₂²⋊#95	C₂³	semidirect
325. C₂×C₂²⋊#95	C₂³	semidirect
326. C₂×C₂²⋊#95	C₂³	semidirect
327. C₂×C₂²⋊#95	C₂³	semidirect
328. C₂×C₂²⋊#95	C₂³	semidirect
329. C₂×C₂²⋊#95	C₂³	semidirect
330. C₂×C₂²⋊#95	C₂³	semidirect
331. C₂×C₂²⋊#95	C₂³	semidirect
332. #7557	C₂³	semidirect
333. #7557	C₂³	semidirect
334. #7555	C₂³	semidirect
335. #7555	C₂³	semidirect
336. #7555	C₂³	semidirect
337. #7555	C₂³	semidirect
338. #7555	C₂³	semidirect
339. #7555	C₂³	semidirect
340. #7555	C₂³	semidirect
341. #7555	C₂³	semidirect
342. #7554	C₂³	semidirect
343. #7554	C₂³	semidirect
370. C₂⁴×D₄	C₂×D₄	semidirect
406. C₂²×#121	C₂×D₄	semidirect
412. C₂²×#120	C₂×D₄	semidirect
413. C₂²×C₄×D₄	C₂×D₄	semidirect
486. C₂⁶	#120	semidirect
517. C₂³×D₄	#120	semidirect
561. C₂×#120	#120	semidirect
636. C₂⁴	#2846	semidirect
725. C₂²	#4420586	semidirect

Maximal subgroups

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

subgroup	index
#72335058	2
#72335057	2
#72335033	2
#72335032	2
#72334949	2
#72334395	2
#72328359	2
#72302231	2
#72298486	2
#72298443	2
C₂×#4420586	2
#72293990	2
C₂×#635984	2
#72251033	2
#72250287	2
#72250276	2
#72240113	2
C₂×#612424	2
C₂⁴×D₄²	2
#72218795	2