Subgroups — #72332880

Order 1024.

At least 7638 conjugacy classes of subgroups; only the 1063 normal subgroups are shown.

The subgroup lattice has 844 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#2557	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#16255	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#16250	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#15259	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#15257	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#15257	C₂	1	1	yes	maximal, characteristic, complemented
7	#158933	C₂	1	1	yes	maximal, characteristic, complemented
8	#158901	C₂	1	1	yes	maximal, characteristic, complemented
9	#158869	C₂	1	1	yes	maximal, characteristic, complemented
10	#158833	C₂	1	1	yes	maximal, characteristic, complemented
11	#158823	C₂	1	1	yes	maximal, characteristic, complemented
12	#157456	C₂	1	1	yes	maximal, characteristic, complemented
13	#157432	C₂	1	1	yes	maximal, characteristic, complemented
14	#157427	C₂	1	1	yes	maximal, characteristic, complemented
15	#157077	C₂	1	1	yes	maximal, characteristic, complemented
16	#156892	C₂	1	1	yes	maximal, characteristic, complemented
17	#156846	C₂	1	1	yes	maximal, characteristic, complemented
18	#156744	C₂	1	1	yes	maximal, characteristic, complemented
19	#156741	C₂	1	1	yes	maximal, characteristic, complemented
20	#156706	C₂	1	1	yes	maximal, characteristic, complemented
21	#156684	C₂	1	1	yes	maximal, characteristic, complemented
22	#156481	C₂	1	1	yes	maximal, characteristic, complemented
23	#155875	C₂	1	1	yes	maximal, characteristic, complemented
24	#155628	C₂	1	1	yes	maximal, characteristic, complemented
25	#155628	C₂	1	1	yes	maximal, characteristic, complemented
26	#154676	C₂	1	1	yes	maximal, characteristic, complemented
27	#154671	C₂	1	1	yes	maximal, characteristic, complemented
28	#154522	C₂	1	1	yes	maximal, characteristic, complemented
29	#154522	C₂	1	1	yes	maximal, characteristic, complemented
30	#154320	C₂	1	1	yes	maximal, characteristic, complemented
31	#154320	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×#124	C₂²	1	1	yes	characteristic
33	C₂³×#123	C₂²	1	1	yes	characteristic, complemented
34	C₂³×#121	C₂²	1	1	yes	characteristic
35	C₂³×#121	C₂²	1	1	yes	characteristic
36	C₂³×#120	C₂²	1	1	yes	characteristic
37	C₂³×#120	C₂²	1	1	yes	characteristic
38	C₂³×#120	C₂²	1	1	yes	characteristic
39	C₂²×#397	C₂²	1	1	yes	characteristic
40	C₂²×#397	C₂²	1	1	yes	characteristic, complemented
41	C₂²×#394	C₂²	1	1	yes	characteristic
42	C₂²×#394	C₂²	1	1	yes	characteristic
43	C₂²×#393	C₂²	1	1	yes	characteristic
44	C₂²×#393	C₂²	1	1	yes	characteristic
45	C₂²×#393	C₂²	1	1	yes	characteristic, complemented
46	C₂²×#393	C₂²	1	1	yes	characteristic, complemented
47	C₂²×#392	C₂²	1	1	yes	characteristic
48	C₂²×#392	C₂²	1	1	yes	characteristic
49	C₂²×#392	C₂²	1	1	yes	characteristic
50	C₂²×#392	C₂²	1	1	yes	characteristic
51	C₂²×#392	C₂²	1	1	yes	characteristic
52	C₂²×#392	C₂²	1	1	yes	characteristic
53	C₂²×#392	C₂²	1	1	yes	characteristic
54	C₂²×#392	C₂²	1	1	yes	characteristic, complemented
55	C₂²×#391	C₂²	1	1	yes	characteristic, complemented
56	C₂²×#390	C₂²	1	1	yes	characteristic
57	C₂²×#388	C₂²	1	1	yes	characteristic
58	C₂²×#387	C₂²	1	1	yes	characteristic, complemented
59	C₂²×#386	C₂²	1	1	yes	characteristic
60	C₂²×#386	C₂²	1	1	yes	characteristic
61	C₂²×#386	C₂²	1	1	yes	characteristic
62	C₂²×#386	C₂²	1	1	yes	characteristic
63	C₂²×#386	C₂²	1	1	yes	characteristic, complemented
64	C₂²×#379	C₂²	1	1	yes	characteristic
65	C₂²×#379	C₂²	1	1	yes	characteristic
66	C₂²×#379	C₂²	1	1	yes	characteristic
67	C₂²×#379	C₂²	1	1	yes	characteristic
68	C₂²×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
69	C₂²×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
70	C₂×#1446	C₂²	1	1	yes	characteristic, complemented
71	C₂×#1442	C₂²	1	1	yes	characteristic, complemented
72	C₂×#1441	C₂²	1	1	yes	characteristic, complemented
73	C₂×#1440	C₂²	1	1	yes	characteristic
74	C₂×#1440	C₂²	1	1	yes	characteristic
75	C₂×#1440	C₂²	1	1	yes	characteristic
76	C₂×#1440	C₂²	1	1	yes	characteristic
77	C₂×#1440	C₂²	1	1	yes	characteristic
78	C₂×#1440	C₂²	1	1	yes	characteristic
79	C₂×#1440	C₂²	1	1	yes	characteristic
80	C₂×#1439	C₂²	1	1	yes	characteristic
81	C₂×#1439	C₂²	1	1	yes	characteristic
82	C₂×#1439	C₂²	1	1	yes	characteristic
83	C₂×#1439	C₂²	1	1	yes	characteristic
84	C₂×#1439	C₂²	1	1	yes	characteristic
85	C₂×#1439	C₂²	1	1	yes	characteristic
86	C₂×#1439	C₂²	1	1	yes	characteristic
87	C₂×#1439	C₂²	1	1	yes	characteristic
88	C₂×#1439	C₂²	1	1	yes	characteristic
89	C₂×#1439	C₂²	1	1	yes	characteristic
90	C₂×#1439	C₂²	1	1	yes	characteristic
91	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
92	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
93	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
94	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
95	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
96	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
97	C₂×#1438	C₂²	1	1	yes	characteristic
98	C₂×#1438	C₂²	1	1	yes	characteristic
99	C₂×#1438	C₂²	1	1	yes	characteristic
100	C₂×#1438	C₂²	1	1	yes	characteristic
101	C₂×#1438	C₂²	1	1	yes	characteristic
102	C₂×#1438	C₂²	1	1	yes	characteristic
103	C₂×#1438	C₂²	1	1	yes	characteristic
104	C₂×#1438	C₂²	1	1	yes	characteristic
105	C₂×#1438	C₂²	1	1	yes	characteristic
106	C₂×#1438	C₂²	1	1	yes	characteristic
107	C₂×#1438	C₂²	1	1	yes	characteristic
108	C₂×#1438	C₂²	1	1	yes	characteristic
109	C₂×#1438	C₂²	1	1	yes	characteristic
110	C₂×#1438	C₂²	1	1	yes	characteristic
111	C₂×#1438	C₂²	1	1	yes	characteristic
112	C₂×#1438	C₂²	1	1	yes	characteristic
113	C₂×#1438	C₂²	1	1	yes	characteristic
114	C₂×#1438	C₂²	1	1	yes	characteristic
115	C₂×#1438	C₂²	1	1	yes	characteristic
116	C₂×#1438	C₂²	1	1	yes	characteristic
117	C₂×#1438	C₂²	1	1	yes	characteristic
118	C₂×#1438	C₂²	1	1	yes	characteristic
119	C₂×#1438	C₂²	1	1	yes	characteristic
120	C₂×#1438	C₂²	1	1	yes	characteristic
121	C₂×#1438	C₂²	1	1	yes	characteristic
122	C₂×#1438	C₂²	1	1	yes	characteristic
123	C₂×#1438	C₂²	1	1	yes	characteristic
124	C₂×#1438	C₂²	1	1	yes	characteristic
125	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
126	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
127	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
128	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
129	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
130	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
131	C₂×#1438	C₂²	1	1	yes	characteristic, complemented
132	C₂×#1437	C₂²	1	1	yes	characteristic
133	C₂×#1437	C₂²	1	1	yes	characteristic
134	C₂×#1437	C₂²	1	1	yes	characteristic
135	C₂×#1437	C₂²	1	1	yes	characteristic
136	C₂×#1437	C₂²	1	1	yes	characteristic
137	C₂×#1437	C₂²	1	1	yes	characteristic
138	C₂×#1437	C₂²	1	1	yes	characteristic, complemented
139	C₂×#1437	C₂²	1	1	yes	characteristic, complemented
140	C₂×#1437	C₂²	1	1	yes	characteristic, complemented
141	C₂×#1436	C₂²	1	1	yes	characteristic, complemented
142	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
143	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
144	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
146	#7557	C₂²	1	1	yes	characteristic, complemented
147	#7557	C₂²	1	1	yes	characteristic, complemented
148	#7557	C₂²	1	1	yes	characteristic, complemented
149	#7557	C₂²	1	1	yes	characteristic, complemented
150	#7557	C₂²	1	1	yes	characteristic, complemented
151	#7557	C₂²	1	1	yes	characteristic, complemented
152	#7557	C₂²	1	1	yes	characteristic, complemented
153	#7557	C₂²	1	1	yes	characteristic, complemented
154	#7556	C₂²	1	1	yes	characteristic, complemented
155	#7556	C₂²	1	1	yes	characteristic, complemented
156	#7556	C₂²	1	1	yes	characteristic, complemented
157	#7556	C₂²	1	1	yes	characteristic, complemented
158	#7556	C₂²	1	1	yes	characteristic, complemented
159	#7556	C₂²	1	1	yes	characteristic, complemented
160	#7556	C₂²	1	1	yes	characteristic, complemented
161	#7556	C₂²	1	1	yes	characteristic, complemented
162	#7556	C₂²	1	1	yes	characteristic, complemented
163	#7556	C₂²	1	1	yes	characteristic, complemented
164	#7556	C₂²	1	1	yes	characteristic, complemented
165	#7555	C₂²	1	1	yes	characteristic
166	#7555	C₂²	1	1	yes	characteristic
167	#7555	C₂²	1	1	yes	characteristic
168	#7555	C₂²	1	1	yes	characteristic
169	#7555	C₂²	1	1	yes	characteristic
170	#7555	C₂²	1	1	yes	characteristic
171	#7555	C₂²	1	1	yes	characteristic
172	#7555	C₂²	1	1	yes	characteristic
173	#7555	C₂²	1	1	yes	characteristic
174	#7555	C₂²	1	1	yes	characteristic
175	#7555	C₂²	1	1	yes	characteristic
176	#7555	C₂²	1	1	yes	characteristic, complemented
177	#7555	C₂²	1	1	yes	characteristic, complemented
178	#7555	C₂²	1	1	yes	characteristic, complemented
179	#7555	C₂²	1	1	yes	characteristic, complemented
180	#7555	C₂²	1	1	yes	characteristic, complemented
181	#7555	C₂²	1	1	yes	characteristic, complemented
182	#7555	C₂²	1	1	yes	characteristic, complemented
183	#7555	C₂²	1	1	yes	characteristic, complemented
184	#7555	C₂²	1	1	yes	characteristic, complemented
185	#7554	C₂²	1	1	yes	characteristic, complemented
186	#7554	C₂²	1	1	yes	characteristic, complemented
187	C₂⁷	C₂³	1	1	yes	characteristic
188	C₂⁴×Q₈	C₂³	1	1	yes	characteristic
189	C₂⁴×D₄	C₂³	1	1	yes	characteristic
190	C₂⁴×D₄	C₂³	1	1	yes	characteristic
191	C₂⁴×D₄	C₂³	1	1	yes	characteristic
192	C₂⁴×D₄	C₂³	1	1	yes	characteristic
193	C₂⁴×D₄	C₂³	1	1	yes	characteristic
194	C₂⁴×D₄	C₂³	1	1	yes	characteristic
195	C₂⁴×D₄	C₂³	1	1	yes	characteristic
196	C₂⁴×D₄	C₂³	1	1	yes	characteristic
197	C₂⁴×D₄	C₂³	1	1	yes	characteristic
198	C₂⁴×D₄	C₂³	1	1	yes	characteristic
199	C₂⁴×D₄	C₂³	1	1	yes	characteristic
200	C₂⁴×D₄	C₂³	1	1	yes	characteristic
201	C₂⁵×C₄	C₂³	1	1	yes	characteristic
202	C₂⁵×C₄	C₂³	1	1	yes	characteristic
203	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
211	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
213	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
214	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
215	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
216	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
221	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
228	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
229	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
230	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
231	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
232	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
233	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
234	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
235	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
236	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
237	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
238	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
239	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
240	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
241	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
242	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
243	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
244	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
245	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
246	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
247	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
248	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
249	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
250	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
251	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
252	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
253	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
254	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
255	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
256	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
257	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
258	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
259	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
260	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
261	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
262	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
263	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
264	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
265	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
266	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
267	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
268	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
269	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	C₂³×C₄²	C₂³	1	1	yes	characteristic
271	C₂³×C₄²	C₂³	1	1	yes	characteristic
272	C₂³×C₄²	C₂³	1	1	yes	characteristic
273	C₂×#397	D₄	1	8	yes	complemented
274	C₂×#386	D₄	1	8	yes	complemented
275	C₂×#386	D₄	1	8	yes	complemented
276	C₂²×#95	C₂³	1	1	yes	characteristic
277	C₂²×#95	C₂³	1	1	yes	characteristic
278	C₂²×#95	C₂³	1	1	yes	characteristic
279	C₂²×#95	C₂³	1	1	yes	characteristic
280	C₂²×#95	C₂³	1	1	yes	characteristic
281	C₂²×#95	C₂³	1	1	yes	characteristic
282	C₂²×#95	C₂³	1	1	yes	characteristic
283	C₂²×#95	C₂³	1	1	yes	characteristic
284	C₂²×#95	C₂³	1	1	yes	characteristic
285	C₂²×#95	C₂³	1	1	yes	characteristic
286	C₂²×#95	C₂³	1	1	yes	characteristic
287	C₂²×#95	C₂³	1	1	yes	characteristic
288	C₂²×#95	C₂³	1	1	yes	characteristic
289	C₂²×#95	C₂³	1	1	yes	characteristic
290	C₂²×#95	C₂³	1	1	yes	characteristic
291	C₂²×#95	C₂³	1	1	yes	characteristic
292	C₂²×#95	C₂³	1	1	yes	characteristic
293	C₂²×#95	C₂³	1	1	yes	characteristic
294	C₂²×#95	C₂³	1	1	yes	characteristic
295	C₂²×#95	C₂³	1	1	yes	characteristic
296	C₂²×#95	C₂³	1	1	yes	characteristic
297	C₂²×#95	C₂³	1	1	yes	characteristic
298	C₂²×#95	C₂³	1	1	yes	characteristic
299	C₂²×#95	C₂³	1	1	yes	characteristic
300	C₂²×#95	C₂³	1	1	yes	characteristic
301	C₂²×#95	C₂³	1	1	yes	characteristic
302	C₂²×#95	C₂³	1	1	yes	characteristic
303	C₂²×#95	C₂³	1	1	yes	characteristic
304	C₂²×#95	C₂³	1	1	yes	characteristic
305	C₂²×#95	C₂³	1	1	yes	characteristic
306	C₂²×#95	C₂³	1	1	yes	characteristic
307	C₂²×#95	C₂³	1	1	yes	characteristic
308	C₂²×#95	C₂³	1	1	yes	characteristic
309	C₂²×#95	C₂³	1	1	yes	characteristic
310	C₂²×#95	C₂³	1	1	yes	characteristic
311	C₂²×#95	C₂³	1	1	yes	characteristic
312	C₂²×#95	C₂³	1	1	yes	characteristic
313	C₂²×#95	C₂³	1	1	yes	characteristic
314	C₂²×#95	C₂³	1	1	yes	characteristic
315	C₂²×#95	C₂³	1	1	yes	characteristic
316	C₂²×#95	C₂³	1	1	yes	characteristic
317	C₂²×#95	C₂³	1	1	yes	characteristic
318	C₂²×#95	C₂³	1	1	yes	characteristic
319	C₂²×#95	C₂³	1	1	yes	characteristic
320	C₂²×#95	C₂³	1	1	yes	characteristic
321	C₂²×#95	C₂³	1	1	yes	characteristic
322	C₂²×#95	C₂³	1	1	yes	characteristic
323	C₂²×#95	C₂³	1	1	yes	characteristic
324	C₂²×#95	C₂³	1	1	yes	characteristic
325	C₂²×#95	C₂³	1	1	yes	characteristic
326	C₂²×#95	C₂³	1	1	yes	characteristic
327	C₂²×#95	C₂³	1	1	yes	characteristic
328	C₂²×#95	C₂³	1	1	yes	characteristic
329	C₂²×#95	C₂³	1	1	yes	characteristic
330	C₂²×#95	C₂³	1	1	yes	characteristic
331	C₂²×#95	C₂³	1	1	yes	characteristic
332	C₂²×#95	C₂³	1	1	yes	characteristic
333	C₂²×#95	C₂³	1	1	yes	characteristic
334	C₂²×#95	C₂³	1	1	yes	characteristic
335	C₂²×#95	C₂³	1	1	yes	characteristic
336	C₂²×#95	C₂³	1	1	yes	characteristic
337	C₂²×#95	C₂³	1	1	yes	characteristic
338	C₂²×#95	C₂³	1	1	yes	characteristic
339	C₂²×#95	C₂³	1	1	yes	characteristic
340	C₂²×#95	C₂³	1	1	yes	characteristic
341	C₂²×#95	C₂³	1	1	yes	characteristic
342	C₂²×#95	C₂³	1	1	yes	characteristic
343	C₂²×#95	C₂³	1	1	yes	characteristic
344	C₂²×#95	C₂³	1	1	yes	characteristic
345	#1438	D₄	1	8	yes	complemented
346	C₂⁶	C₂⁴	1	1	yes	characteristic
347	C₂⁶	C₂⁴	1	1	yes	characteristic
348	C₂⁶	C₂⁴	1	1	yes	characteristic
349	C₂⁶	C₂⁴	1	1	yes	characteristic
350	C₂⁶	C₂⁴	1	1	yes	characteristic
351	C₂⁶	C₂⁴	1	1	yes	characteristic
352	C₂³×D₄	C₂×D₄	1	4	yes	—
353	C₂³×D₄	C₂×D₄	1	4	yes	—
354	C₂³×D₄	C₂×D₄	1	4	yes	—
355	C₂³×D₄	#41	1	4	yes	—
356	C₂⁴×C₄	C₂×D₄	1	4	yes	—
357	C₂⁴×C₄	C₂×D₄	1	4	yes	—
358	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
359	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
360	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
361	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
362	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
363	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
364	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
365	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
366	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
367	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
368	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
369	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
370	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
371	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
372	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
373	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
374	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
375	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
376	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
377	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
378	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
379	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
380	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
381	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
382	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄⋊C₄	C₂×D₄	1	4	yes	—
384	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
385	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
386	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
387	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
388	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
389	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
390	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
391	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
392	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
393	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
394	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
395	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
396	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
397	C₂²×C₂²⋊C₄	#41	1	4	yes	—
398	C₂×#95	C₂×D₄	1	4	yes	—
399	C₂×#95	C₂×D₄	1	4	yes	—
400	C₂×#95	C₂×D₄	1	4	yes	—
401	C₂×#95	C₂×D₄	1	4	yes	—
402	C₂×#95	C₂×D₄	1	4	yes	—
403	C₂×#95	C₂×D₄	1	4	yes	—
404	C₂×#95	C₂×D₄	1	4	yes	—
405	C₂×#95	C₂×D₄	1	4	yes	—
406	C₂×#95	C₂×D₄	1	4	yes	—
407	C₂⁵	C₂²×D₄	1	2	yes	—
408	C₂⁵	C₂²×D₄	1	2	yes	—
409	C₂⁵	C₂²×D₄	1	2	yes	—
410	C₂⁵	C₂²×D₄	1	2	yes	—
411	C₂⁵	C₂²×D₄	1	2	yes	—
412	C₂⁵	C₂²×D₄	1	2	yes	—
413	C₂⁵	C₂²×D₄	1	2	yes	—
414	C₂⁵	C₂×#41	1	2	yes	—
415	C₂⁵	C₂×#41	1	2	yes	—
416	C₂⁵	C₂×#41	1	2	yes	—
417	C₂⁵	H(5,𝔽₂)	1	2	yes	—
418	C₂⁵	H(5,𝔽₂)	1	2	yes	—
419	C₂⁵	H(5,𝔽₂)	1	2	yes	—
420	C₂⁵	H(5,𝔽₂)	1	2	yes	—
421	C₂⁵	H(5,𝔽₂)	1	2	yes	—
422	C₂⁵	H(5,𝔽₂)	1	2	yes	—
423	C₂⁵	C₂⁵	1	1	yes	characteristic
424	C₂³×C₄	C₂²×D₄	1	2	yes	—
425	C₂³×C₄	C₂²×D₄	1	2	yes	—
426	C₂³×C₄	C₂²×D₄	1	2	yes	—
427	C₂³×C₄	C₂²×D₄	1	2	yes	—
428	C₂³×C₄	C₂²×D₄	1	2	yes	—
429	C₂³×C₄	C₂²×D₄	1	2	yes	—
430	C₂³×C₄	C₂²×D₄	1	2	yes	—
431	C₂³×C₄	C₂²×D₄	1	2	yes	—
432	C₂³×C₄	C₂²×D₄	1	2	yes	—
433	C₂³×C₄	C₂²×D₄	1	2	yes	—
434	C₂³×C₄	C₂²×D₄	1	2	yes	—
435	C₂³×C₄	C₂²×D₄	1	2	yes	—
436	C₂³×C₄	C₂²×D₄	1	2	yes	—
437	C₂³×C₄	C₂²×D₄	1	2	yes	—
438	C₂³×C₄	C₂²×D₄	1	2	yes	—
439	C₂³×C₄	C₂²×D₄	1	2	yes	—
440	C₂³×C₄	C₂²×D₄	1	2	yes	—
441	C₂³×C₄	C₂²×D₄	1	2	yes	—
442	C₂³×C₄	C₂²×D₄	1	2	yes	—
443	C₂³×C₄	C₂²×D₄	1	2	yes	—
444	C₂³×C₄	C₂²×D₄	1	2	yes	—
445	C₂³×C₄	C₂×#41	1	2	yes	—
446	C₂³×C₄	C₂×#41	1	2	yes	—
447	C₂³×C₄	C₂×#41	1	2	yes	—
448	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
449	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
450	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
451	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
452	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
453	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
454	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
455	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
456	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
457	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
458	C₂×C₂²⋊C₄	#120	1	16	yes	—
459	C₂⁴	C₂×#120	1	4	yes	—
460	C₂⁴	#538	1	4	yes	—
461	C₂⁴	D₄²	1	4	yes	—
462	C₂⁴	#546	1	4	yes	—
463	C₂⁴	#546	1	4	yes	—
464	C₂⁴	C₂³×D₄	1	1	yes	characteristic
465	C₂⁴	C₂³×D₄	1	1	yes	characteristic
466	C₂⁴	C₂³×D₄	1	1	yes	characteristic
467	C₂⁴	C₂³×D₄	1	1	yes	characteristic
468	C₂⁴	C₂²×#41	1	1	yes	characteristic
469	C₂⁴	C₂²×#41	1	1	yes	characteristic
470	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
471	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
472	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
473	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
474	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
475	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
476	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
477	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
478	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
479	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
480	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
481	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
482	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
483	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
484	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
485	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
486	C₂⁴	#585	1	1	yes	characteristic
487	C₂⁴	#585	1	1	yes	characteristic
488	C₂⁴	#585	1	1	yes	characteristic
489	C₂⁴	#585	1	1	yes	characteristic
490	C₂⁴	#585	1	1	yes	characteristic
491	C₂⁴	#585	1	1	yes	characteristic
492	C₂⁴	#585	1	1	yes	characteristic
493	C₂⁴	#585	1	1	yes	characteristic
494	C₂⁴	#585	1	1	yes	characteristic
495	C₂²×C₄	C₂×#120	1	4	yes	—
496	C₂²×C₄	C₂×#120	1	4	yes	—
497	C₂²×C₄	#535	1	4	yes	—
498	C₂²×C₄	#535	1	4	yes	—
499	C₂²×C₄	D₄²	1	4	yes	—
500	C₂²×C₄	D₄²	1	4	yes	—
501	C₂²×C₄	#546	1	4	yes	—
502	C₂³	C₂²×#120	1	1	yes	characteristic
503	C₂³	C₂×#535	1	1	yes	characteristic
504	C₂³	C₂×#535	1	1	yes	characteristic
505	C₂³	#3449	1	1	yes	characteristic
506	C₂³	#3449	1	1	yes	characteristic
507	C₂³	#3449	1	1	yes	characteristic
508	C₂³	C₂×#538	1	1	yes	characteristic
509	C₂³	#3455	1	1	yes	characteristic
510	C₂³	#3459	1	1	yes	characteristic
511	C₂³	#3460	1	1	yes	characteristic
512	C₂³	C₂×D₄²	1	1	yes	characteristic
513	C₂³	C₂×D₄²	1	1	yes	characteristic
514	C₂³	C₂×D₄²	1	1	yes	characteristic
515	C₂³	C₂×#546	1	1	yes	characteristic
516	C₂³	C₂×#546	1	1	yes	characteristic
517	C₂³	C₂×#546	1	1	yes	characteristic
518	C₂³	D₄×#41	1	1	yes	characteristic
519	C₂³	D₄×#41	1	1	yes	characteristic
520	C₂³	D₄×#41	1	1	yes	characteristic
521	C₂³	D₄×#41	1	1	yes	characteristic
522	C₂³	D₄×#41	1	1	yes	characteristic
523	C₂³	#3475	1	1	yes	characteristic
524	C₂³	#3484	1	1	yes	characteristic
525	C₂³	#3484	1	1	yes	characteristic
526	C₂³	#3484	1	1	yes	characteristic
527	C₂³	#3484	1	1	yes	characteristic
528	C₂³	#3484	1	1	yes	characteristic
529	C₂³	#3484	1	1	yes	characteristic
530	C₂³	#3484	1	1	yes	characteristic
531	C₂³	#3484	1	1	yes	characteristic
532	C₂³	#3484	1	1	yes	characteristic
533	C₂³	#3484	1	1	yes	characteristic
534	C₂³	#3484	1	1	yes	characteristic
535	C₂³	#3484	1	1	yes	characteristic
536	C₂³	#3484	1	1	yes	characteristic
537	C₂³	#3484	1	1	yes	characteristic
538	C₂³	#3485	1	1	yes	characteristic
539	C₂³	#3485	1	1	yes	characteristic
540	C₂³	#3488	1	1	yes	characteristic
541	C₂³	#3488	1	1	yes	characteristic
542	C₂³	#3488	1	1	yes	characteristic
543	C₂³	#3488	1	1	yes	characteristic
544	C₂³	#3488	1	1	yes	characteristic
545	C₂³	#3488	1	1	yes	characteristic
546	C₂³	#3488	1	1	yes	characteristic
547	C₂³	#3488	1	1	yes	characteristic
548	C₂³	#3488	1	1	yes	characteristic
549	C₂³	#3488	1	1	yes	characteristic
550	C₂³	#3488	1	1	yes	characteristic
551	C₂³	#3488	1	1	yes	characteristic
552	C₂³	#3488	1	1	yes	characteristic
553	C₂³	#3488	1	1	yes	characteristic
554	C₂³	#3490	1	1	yes	characteristic
555	C₂³	#3490	1	1	yes	characteristic
556	C₂³	#3490	1	1	yes	characteristic
557	C₂³	#3490	1	1	yes	characteristic
558	C₂³	#3496	1	1	yes	characteristic
559	C₂³	#3496	1	1	yes	characteristic
560	C₂³	#3496	1	1	yes	characteristic
561	C₂³	#3496	1	1	yes	characteristic
562	C₂³	#3496	1	1	yes	characteristic
563	C₂³	#3498	1	1	yes	characteristic
564	C₂³	#3498	1	1	yes	characteristic
565	C₂³	#3500	1	1	yes	characteristic
566	C₂³	#3505	1	1	yes	characteristic
567	C₂³	#3508	1	1	yes	characteristic
568	C₂³	#3513	1	1	yes	characteristic
569	C₂³	#3514	1	1	yes	characteristic
570	C₂³	#3514	1	1	yes	characteristic
571	C₂³	#3514	1	1	yes	characteristic
572	C₂³	#3519	1	1	yes	characteristic
573	C₂³	#3519	1	1	yes	characteristic
574	C₂³	#3519	1	1	yes	characteristic
575	C₂³	#3519	1	1	yes	characteristic
576	C₂³	#3519	1	1	yes	characteristic
577	C₂³	#3521	1	1	yes	characteristic
578	C₂³	#3529	1	1	yes	characteristic
579	C₂³	#3529	1	1	yes	characteristic
580	C₂³	#3532	1	1	yes	characteristic
581	C₂³	#3532	1	1	yes	characteristic
582	C₂³	#3532	1	1	yes	characteristic
583	C₂³	#3532	1	1	yes	characteristic
584	C₂³	#3532	1	1	yes	characteristic
585	C₂³	#3532	1	1	yes	characteristic
586	C₂³	#3532	1	1	yes	characteristic
587	C₂³	#3532	1	1	yes	characteristic
588	C₂³	#3532	1	1	yes	characteristic
589	C₂³	#3533	1	1	yes	characteristic
590	C₂³	#3533	1	1	yes	characteristic
591	C₂³	#3533	1	1	yes	characteristic
592	C₂³	#3533	1	1	yes	characteristic
593	C₂³	#3533	1	1	yes	characteristic
594	C₂³	#3533	1	1	yes	characteristic
595	C₂³	#3533	1	1	yes	characteristic
596	C₂³	#3534	1	1	yes	characteristic
597	C₂³	#3534	1	1	yes	characteristic
598	C₂³	#3534	1	1	yes	characteristic
599	C₂³	#3534	1	1	yes	characteristic
600	C₂³	#3534	1	1	yes	characteristic
601	C₂³	#3534	1	1	yes	characteristic
602	C₂³	#3534	1	1	yes	characteristic
603	C₂³	#3534	1	1	yes	characteristic
604	C₂³	#3534	1	1	yes	characteristic
605	C₂³	#3534	1	1	yes	characteristic
606	C₂³	#3537	1	1	yes	characteristic
607	C₂³	#3542	1	1	yes	characteristic
608	C₂³	#3542	1	1	yes	characteristic
609	C₂³	#3542	1	1	yes	characteristic
610	C₂³	#3542	1	1	yes	characteristic
611	C₂³	#3542	1	1	yes	characteristic
612	C₂³	#3543	1	1	yes	characteristic
613	C₂³	#3543	1	1	yes	characteristic
614	C₂³	#3543	1	1	yes	characteristic
615	C₂³	#3543	1	1	yes	characteristic
616	C₂³	#3543	1	1	yes	characteristic
617	C₂³	#3543	1	1	yes	characteristic
618	C₂³	#3543	1	1	yes	characteristic
619	C₂³	#3545	1	1	yes	characteristic
620	C₂³	#3545	1	1	yes	characteristic
621	C₂³	#3545	1	1	yes	characteristic
622	C₂³	#3546	1	1	yes	characteristic
623	C₂³	#3546	1	1	yes	characteristic
624	C₂³	#3546	1	1	yes	characteristic
625	C₂³	#3546	1	1	yes	characteristic
626	C₂³	#3546	1	1	yes	characteristic
627	C₂³	#3546	1	1	yes	characteristic
628	C₂³	#3549	1	1	yes	characteristic
629	C₂³	#3551	1	1	yes	characteristic
630	C₂³	#3551	1	1	yes	characteristic
631	C₂³	#3558	1	1	yes	characteristic
632	C₂³	#3558	1	1	yes	characteristic
633	C₂³	#3558	1	1	yes	characteristic
634	C₂³	#3558	1	1	yes	characteristic
635	C₂³	#3558	1	1	yes	characteristic
636	C₂³	#3558	1	1	yes	characteristic
637	C₂³	#3558	1	1	yes	characteristic
638	C₂³	#3558	1	1	yes	characteristic
639	C₂³	#3558	1	1	yes	characteristic
640	C₂³	#3558	1	1	yes	characteristic
641	C₂³	#3558	1	1	yes	characteristic
642	C₂³	#3558	1	1	yes	characteristic
643	C₂³	#3558	1	1	yes	characteristic
644	C₂³	#3558	1	1	yes	characteristic
645	C₂³	#3558	1	1	yes	characteristic
646	C₂³	#3558	1	1	yes	characteristic
647	C₂³	#3560	1	1	yes	characteristic
648	C₂³	#3560	1	1	yes	characteristic
649	C₂³	#3560	1	1	yes	characteristic
650	C₂³	#3560	1	1	yes	characteristic
651	C₂³	#3560	1	1	yes	characteristic
652	C₂³	#3562	1	1	yes	characteristic
653	C₂³	#3562	1	1	yes	characteristic
654	C₂³	#3562	1	1	yes	characteristic
655	C₂³	#3566	1	1	yes	characteristic
656	C₂³	#3566	1	1	yes	characteristic
657	C₂²	#35250	1	1	yes	characteristic
658	C₂²	#35250	1	1	yes	characteristic
659	C₂²	#35346	1	1	yes	characteristic
660	C₂²	#35680	1	1	yes	characteristic
661	C₂²	D₄×#120	1	1	yes	characteristic
662	C₂²	#36212	1	1	yes	characteristic
663	C₂²	#36212	1	1	yes	characteristic
664	C₂²	#36818	1	1	yes	characteristic
665	C₂²	#37049	1	1	yes	characteristic
666	C₂²	#37122	1	1	yes	characteristic
667	C₂²	#37235	1	1	yes	characteristic
668	C₂²	#37496	1	1	yes	characteristic
669	C₂²	#37645	1	1	yes	characteristic
670	C₂²	#37660	1	1	yes	characteristic
671	C₂²	#37678	1	1	yes	characteristic
672	C₂²	#37681	1	1	yes	characteristic
673	C₂²	#37713	1	1	yes	characteristic
674	C₂²	#37716	1	1	yes	characteristic
675	C₂²	#37720	1	1	yes	characteristic
676	C₂²	#37733	1	1	yes	characteristic
677	C₂²	#37737	1	1	yes	characteristic
678	C₂²	#37778	1	1	yes	characteristic
679	C₂²	#37782	1	1	yes	characteristic
680	C₂²	#37805	1	1	yes	characteristic
681	C₂²	#37808	1	1	yes	characteristic
682	C₂²	#37833	1	1	yes	characteristic
683	C₂²	#38028	1	1	yes	characteristic
684	C₂²	#38086	1	1	yes	characteristic
685	C₂²	#38466	1	1	yes	characteristic
686	C₂²	#38628	1	1	yes	characteristic
687	C₂²	#38910	1	1	yes	characteristic
688	C₂²	#39342	1	1	yes	characteristic
689	C₂²	#39354	1	1	yes	characteristic
690	C₂²	#39392	1	1	yes	characteristic
691	C₂²	#39412	1	1	yes	characteristic
692	C₂²	#39876	1	1	yes	characteristic
693	C₂²	#39881	1	1	yes	characteristic
694	C₂²	#40485	1	1	yes	characteristic
695	C₂²	#40500	1	1	yes	characteristic
696	C₂²	#40509	1	1	yes	characteristic
697	C₂²	#40521	1	1	yes	characteristic
698	C₂²	#40597	1	1	yes	characteristic
699	C₂²	#40602	1	1	yes	characteristic
700	C₂²	#40602	1	1	yes	characteristic
701	C₂²	#40602	1	1	yes	characteristic
702	C₂²	#40602	1	1	yes	characteristic
703	C₂²	#40728	1	1	yes	characteristic
704	C₂²	#40886	1	1	yes	characteristic
705	C₂²	#40912	1	1	yes	characteristic
706	C₂²	#41212	1	1	yes	characteristic
707	C₂²	#41311	1	1	yes	characteristic
708	C₂²	#41415	1	1	yes	characteristic
709	C₂²	#41940	1	1	yes	characteristic
710	C₂²	#42099	1	1	yes	characteristic
711	C₂²	#42484	1	1	yes	characteristic
712	C₂²	#42484	1	1	yes	characteristic
713	C₂²	#42484	1	1	yes	characteristic
714	C₂²	#42484	1	1	yes	characteristic
715	C₂²	#42997	1	1	yes	characteristic
716	C₂²	#42998	1	1	yes	characteristic
717	C₂²	#43010	1	1	yes	characteristic
718	C₂²	#43013	1	1	yes	characteristic
719	C₂²	#43023	1	1	yes	characteristic
720	C₂²	#43034	1	1	yes	characteristic
721	C₂²	#43095	1	1	yes	characteristic
722	C₂²	#43098	1	1	yes	characteristic
723	C₂²	#43109	1	1	yes	characteristic
724	C₂²	#43118	1	1	yes	characteristic
725	C₂²	#43118	1	1	yes	characteristic
726	C₂²	#43118	1	1	yes	characteristic
727	C₂²	#43272	1	1	yes	characteristic
728	C₂²	#43886	1	1	yes	characteristic
729	C₂²	#43889	1	1	yes	characteristic
730	C₂²	#44138	1	1	yes	characteristic
731	C₂²	#44143	1	1	yes	characteristic
732	C₂²	#44868	1	1	yes	characteristic
733	C₂²	#44877	1	1	yes	characteristic
734	C₂²	#44877	1	1	yes	characteristic
735	C₂²	#45737	1	1	yes	characteristic
736	C₂²	#45761	1	1	yes	characteristic
737	C₂²	#45770	1	1	yes	characteristic
738	C₂²	#45968	1	1	yes	characteristic
739	C₂²	#45999	1	1	yes	characteristic
740	C₂²	#46225	1	1	yes	characteristic
741	C₂²	#46352	1	1	yes	characteristic
742	C₂²	#46355	1	1	yes	characteristic
743	C₂²	#46364	1	1	yes	characteristic
744	C₂²	#46367	1	1	yes	characteristic
745	C₂²	#46619	1	1	yes	characteristic
746	C₂²	#47607	1	1	yes	characteristic
747	C₂²	#47826	1	1	yes	characteristic
748	C₂²	#47829	1	1	yes	characteristic
749	C₂²	#47830	1	1	yes	characteristic
750	C₂²	#47830	1	1	yes	characteristic
751	C₂²	#47838	1	1	yes	characteristic
752	C₂²	#47844	1	1	yes	characteristic
753	C₂²	#47844	1	1	yes	characteristic
754	C₂²	#47848	1	1	yes	characteristic
755	C₂²	#47873	1	1	yes	characteristic
756	C₂²	#47934	1	1	yes	characteristic
757	C₂²	#47952	1	1	yes	characteristic
758	C₂²	#47952	1	1	yes	characteristic
759	C₂²	#48469	1	1	yes	characteristic
760	C₂²	#48600	1	1	yes	characteristic
761	C₂²	#48689	1	1	yes	characteristic
762	C₂²	#49563	1	1	yes	characteristic
763	C₂²	#49589	1	1	yes	characteristic
764	C₂²	#49763	1	1	yes	characteristic
765	C₂²	#50011	1	1	yes	characteristic
766	C₂²	#50635	1	1	yes	characteristic
767	C₂²	#50635	1	1	yes	characteristic
768	C₂²	#50635	1	1	yes	characteristic
769	C₂²	#50635	1	1	yes	characteristic
770	C₂²	#50856	1	1	yes	characteristic
771	C₂²	#50861	1	1	yes	characteristic
772	C₂²	#51060	1	1	yes	characteristic
773	C₂²	#51062	1	1	yes	characteristic
774	C₂²	#51889	1	1	yes	characteristic
775	C₂²	#52096	1	1	yes	characteristic
776	C₂²	#52117	1	1	yes	characteristic
777	C₂²	#52325	1	1	yes	characteristic
778	C₂²	#52332	1	1	yes	characteristic
779	C₂²	#52335	1	1	yes	characteristic
780	C₂²	#52475	1	1	yes	characteristic
781	C₂²	#52533	1	1	yes	characteristic
782	C₂²	#52695	1	1	yes	characteristic
783	C₂²	#53393	1	1	yes	characteristic
784	C₂²	#53485	1	1	yes	characteristic
785	C₂²	#53535	1	1	yes	characteristic
786	C₂²	#53700	1	1	yes	characteristic
787	C₂²	#53908	1	1	yes	characteristic
788	C₂²	#53908	1	1	yes	characteristic
789	C₂²	#53941	1	1	yes	characteristic
790	C₂²	#54143	1	1	yes	characteristic
791	C₂²	#54442	1	1	yes	characteristic
792	C₂²	#54942	1	1	yes	characteristic
793	C₂²	#54950	1	1	yes	characteristic
794	C₂²	#54952	1	1	yes	characteristic
795	C₂²	#55419	1	1	yes	characteristic
796	C₂²	#56394	1	1	yes	characteristic
797	C₂²	#56413	1	1	yes	characteristic
798	C₂²	#57570	1	1	yes	characteristic
799	C₂²	#57591	1	1	yes	characteristic
800	C₂²	#57649	1	1	yes	characteristic
801	C₂²	#57658	1	1	yes	characteristic
802	C₂²	#58814	1	1	yes	characteristic
803	C₂²	#58918	1	1	yes	characteristic
804	C₂²	#58991	1	1	yes	characteristic
805	C₂²	#59004	1	1	yes	characteristic
806	C₂²	#59091	1	1	yes	characteristic
807	C₂²	#59095	1	1	yes	characteristic
808	C₂²	#59123	1	1	yes	characteristic
809	C₂²	#59129	1	1	yes	characteristic
810	C₂²	#59164	1	1	yes	characteristic
811	C₂²	#59805	1	1	yes	characteristic
812	C₂	#847005	1	1	yes	characteristic
813	C₂	#848957	1	1	yes	characteristic
814	C₂	#928613	1	1	yes	characteristic
815	C₂	#981277	1	1	yes	characteristic
816	C₂	#991410	1	1	yes	characteristic
817	C₂	#1011198	1	1	yes	characteristic
818	C₂	#1086885	1	1	yes	characteristic
819	C₂	#1258515	1	1	yes	characteristic
820	C₂	#1262355	1	1	yes	characteristic
821	C₂	#1418391	1	1	yes	characteristic
822	C₂	#1548148	1	1	yes	characteristic
823	C₂	#1634213	1	1	yes	characteristic
824	C₂	#1680052	1	1	yes	characteristic
825	C₂	#1846144	1	1	yes	characteristic
826	C₂	#2086437	1	1	yes	characteristic
827	C₂	#2109392	1	1	yes	characteristic
828	C₂	#2110416	1	1	yes	characteristic
829	C₂	#2121549	1	1	yes	characteristic
830	C₂	#2126669	1	1	yes	characteristic
831	C₂	#2703596	1	1	yes	characteristic
832	C₂	#2960819	1	1	yes	characteristic
833	C₂	#3038872	1	1	yes	characteristic
834	C₂	#3337470	1	1	yes	characteristic
835	C₂	#3350769	1	1	yes	characteristic
836	C₂	#3465286	1	1	yes	characteristic
837	C₂	#3631510	1	1	yes	characteristic
838	C₂	#3973701	1	1	yes	characteristic
839	C₂	#4423121	1	1	yes	characteristic
840	C₂	#4610000	1	1	yes	characteristic
841	C₂	#4611564	1	1	yes	characteristic
842	C₂	#5480697	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂⁵	C₂⁵
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. C₂²×#2557	C₂	semidirect
2. C₂×#16255	C₂	semidirect
3. C₂×#16250	C₂	semidirect
4. C₂×#15259	C₂	semidirect
5. C₂×#15257	C₂	semidirect
6. C₂×#15257	C₂	semidirect
7. #158933	C₂	semidirect
8. #158901	C₂	semidirect
9. #158869	C₂	semidirect
10. #158833	C₂	semidirect
11. #158823	C₂	semidirect
12. #157456	C₂	semidirect
13. #157432	C₂	semidirect
14. #157427	C₂	semidirect
15. #157077	C₂	semidirect
16. #156892	C₂	semidirect
17. #156846	C₂	semidirect
18. #156744	C₂	semidirect
19. #156741	C₂	semidirect
20. #156706	C₂	semidirect
21. #156684	C₂	semidirect
22. #156481	C₂	semidirect
23. #155875	C₂	semidirect
24. #155628	C₂	semidirect
25. #155628	C₂	semidirect
26. #154676	C₂	semidirect
27. #154671	C₂	semidirect
28. #154522	C₂	semidirect
29. #154522	C₂	semidirect
30. #154320	C₂	semidirect
31. #154320	C₂	semidirect
33. C₂³×#123	C₂²	semidirect
40. C₂²×#397	C₂²	semidirect
45. C₂²×#393	C₂²	semidirect
46. C₂²×#393	C₂²	semidirect
54. C₂²×#392	C₂²	semidirect
55. C₂²×#391	C₂²	semidirect
58. C₂²×#387	C₂²	semidirect
63. C₂²×#386	C₂²	semidirect
68. C₂²×C₄×C₂²⋊C₄	C₂²	semidirect
69. C₂²×C₄×C₂²⋊C₄	C₂²	semidirect
70. C₂×#1446	C₂²	semidirect
71. C₂×#1442	C₂²	semidirect
72. C₂×#1441	C₂²	semidirect
91. C₂×#1439	C₂²	semidirect
92. C₂×#1439	C₂²	semidirect
93. C₂×#1439	C₂²	semidirect
94. C₂×#1439	C₂²	semidirect
95. C₂×#1439	C₂²	semidirect
96. C₂×#1439	C₂²	semidirect
125. C₂×#1438	C₂²	semidirect
126. C₂×#1438	C₂²	semidirect
127. C₂×#1438	C₂²	semidirect
128. C₂×#1438	C₂²	semidirect
129. C₂×#1438	C₂²	semidirect
130. C₂×#1438	C₂²	semidirect
131. C₂×#1438	C₂²	semidirect
138. C₂×#1437	C₂²	semidirect
139. C₂×#1437	C₂²	semidirect
140. C₂×#1437	C₂²	semidirect
141. C₂×#1436	C₂²	semidirect
142. C₂×C₂²⋊#95	C₂²	semidirect
143. C₂×C₂²⋊#95	C₂²	semidirect
144. C₂×C₂²⋊#95	C₂²	semidirect
145. C₂×C₂²⋊#95	C₂²	semidirect
146. #7557	C₂²	semidirect
147. #7557	C₂²	semidirect
148. #7557	C₂²	semidirect
149. #7557	C₂²	semidirect
150. #7557	C₂²	semidirect
151. #7557	C₂²	semidirect
152. #7557	C₂²	semidirect
153. #7557	C₂²	semidirect
154. #7556	C₂²	semidirect
155. #7556	C₂²	semidirect
156. #7556	C₂²	semidirect
157. #7556	C₂²	semidirect
158. #7556	C₂²	semidirect
159. #7556	C₂²	semidirect
160. #7556	C₂²	semidirect
161. #7556	C₂²	semidirect
162. #7556	C₂²	semidirect
163. #7556	C₂²	semidirect
164. #7556	C₂²	semidirect
176. #7555	C₂²	semidirect
177. #7555	C₂²	semidirect
178. #7555	C₂²	semidirect
179. #7555	C₂²	semidirect
180. #7555	C₂²	semidirect
181. #7555	C₂²	semidirect
182. #7555	C₂²	semidirect
183. #7555	C₂²	semidirect
184. #7555	C₂²	semidirect
185. #7554	C₂²	semidirect
186. #7554	C₂²	semidirect
273. C₂×#397	D₄	semidirect
274. C₂×#386	D₄	semidirect
275. C₂×#386	D₄	semidirect
345. #1438	D₄	semidirect

Maximal subgroups

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

subgroup	index
C₂²×#2557	2
C₂×#16255	2
C₂×#16250	2
C₂×#15259	2
C₂×#15257	2
#158933	2
#158901	2
#158869	2
#158833	2
#158823	2
#157456	2
#157432	2
#157427	2
#157077	2
#156892	2
#156846	2
#156744	2
#156741	2
#156706	2
#156684	2
#156481	2
#155875	2
#155628	2
#154676	2
#154671	2
#154522	2
#154320	2