Subgroups — #72328811

Order 1024.

At least 6274 conjugacy classes of subgroups; only the 1003 normal subgroups are shown.

The subgroup lattice has 827 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14375	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#13967	C₂	1	1	yes	maximal, characteristic
3	#159685	C₂	1	1	yes	maximal, characteristic, complemented
4	#159664	C₂	1	1	yes	maximal, characteristic, complemented
5	#159663	C₂	1	1	yes	maximal, characteristic, complemented
6	#158632	C₂	1	1	yes	maximal, characteristic, complemented
7	#158254	C₂	1	1	yes	maximal, characteristic, complemented
8	#158068	C₂	1	1	yes	maximal, characteristic, complemented
9	#157943	C₂	1	1	yes	maximal, characteristic, complemented
10	#157700	C₂	1	1	yes	maximal, characteristic, complemented
11	#157632	C₂	1	1	yes	maximal, characteristic, complemented
12	#157267	C₂	1	1	yes	maximal, characteristic, complemented
13	#156856	C₂	1	1	yes	maximal, characteristic, complemented
14	#156841	C₂	1	1	yes	maximal, characteristic, complemented
15	#156814	C₂	1	1	yes	maximal, characteristic, complemented
16	#155826	C₂	1	1	yes	maximal, characteristic, complemented
17	#155628	C₂	1	1	yes	maximal, characteristic, complemented
18	#155292	C₂	1	1	yes	maximal, characteristic, complemented
19	#155106	C₂	1	1	yes	maximal, characteristic, complemented
20	#154727	C₂	1	1	yes	maximal, characteristic, complemented
21	#154700	C₂	1	1	yes	maximal, characteristic, complemented
22	#154694	C₂	1	1	yes	maximal, characteristic, complemented
23	#154677	C₂	1	1	yes	maximal, characteristic, complemented
24	#154670	C₂	1	1	yes	maximal, characteristic
25	#154670	C₂	1	1	yes	maximal, characteristic
26	#154446	C₂	1	1	yes	maximal, characteristic, complemented
27	#154208	C₂	1	1	yes	maximal, characteristic, complemented
28	#154197	C₂	1	1	yes	maximal, characteristic, complemented
29	#154194	C₂	1	1	yes	maximal, characteristic, complemented
30	#154130	C₂	1	1	yes	maximal, characteristic, complemented
31	#153827	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×#120	C₂²	1	1	yes	characteristic
33	C₂³×C₄×D₄	C₂²	1	1	yes	characteristic
34	C₂⁴×C₂²⋊C₄	C₂²	1	1	yes	characteristic
35	C₂²×#386	C₂²	1	1	yes	characteristic
36	C₂²×#386	C₂²	1	1	yes	characteristic
37	C₂²×#386	C₂²	1	1	yes	characteristic
38	C₂²×#386	C₂²	1	1	yes	characteristic
39	C₂²×#386	C₂²	1	1	yes	characteristic
40	C₂²×#386	C₂²	1	1	yes	characteristic
41	C₂²×#386	C₂²	1	1	yes	characteristic
42	C₂²×#386	C₂²	1	1	yes	characteristic
43	C₂²×#386	C₂²	1	1	yes	characteristic
44	C₂²×#385	C₂²	1	1	yes	characteristic
45	C₂²×#385	C₂²	1	1	yes	characteristic, complemented
46	C₂²×#381	C₂²	1	1	yes	characteristic
47	C₂²×#381	C₂²	1	1	yes	characteristic
48	C₂²×#379	C₂²	1	1	yes	characteristic
49	C₂²×#379	C₂²	1	1	yes	characteristic
50	C₂²×#379	C₂²	1	1	yes	characteristic
51	C₂²×#379	C₂²	1	1	yes	characteristic
52	C₂²×#379	C₂²	1	1	yes	characteristic
53	C₂³×#95	C₂²	1	1	yes	characteristic, complemented
54	C₂×#1445	C₂²	1	1	yes	characteristic, complemented
55	C₂×#1445	C₂²	1	1	yes	characteristic, complemented
56	C₂×#1444	C₂²	1	1	yes	characteristic, complemented
57	C₂×#1443	C₂²	1	1	yes	characteristic, complemented
58	C₂×#1443	C₂²	1	1	yes	characteristic, complemented
59	C₂×#1443	C₂²	1	1	yes	characteristic, complemented
60	C₂×#1443	C₂²	1	1	yes	characteristic, complemented
61	C₂×#1443	C₂²	1	1	yes	characteristic, complemented
62	C₂×#1443	C₂²	1	1	yes	characteristic, complemented
63	C₂×#1442	C₂²	1	1	yes	characteristic, complemented
64	C₂×#1440	C₂²	1	1	yes	characteristic
65	C₂×#1440	C₂²	1	1	yes	characteristic
66	C₂×#1440	C₂²	1	1	yes	characteristic
67	C₂×#1440	C₂²	1	1	yes	characteristic
68	C₂×#1440	C₂²	1	1	yes	characteristic
69	C₂×#1440	C₂²	1	1	yes	characteristic
70	C₂×#1439	C₂²	1	1	yes	characteristic
71	C₂×#1439	C₂²	1	1	yes	characteristic
72	C₂×#1439	C₂²	1	1	yes	characteristic
73	C₂×#1439	C₂²	1	1	yes	characteristic
74	C₂×#1439	C₂²	1	1	yes	characteristic
75	C₂×#1439	C₂²	1	1	yes	characteristic
76	C₂×#1439	C₂²	1	1	yes	characteristic
77	C₂×#1439	C₂²	1	1	yes	characteristic
78	C₂×#1439	C₂²	1	1	yes	characteristic
79	C₂×#1439	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, complemented
83	C₂×#1439	C₂²	1	1	yes	characteristic, complemented
84	C₂×#1438	C₂²	1	1	yes	characteristic
85	C₂×#1438	C₂²	1	1	yes	characteristic
86	C₂×#1438	C₂²	1	1	yes	characteristic
87	C₂×#1438	C₂²	1	1	yes	characteristic
88	C₂×#1438	C₂²	1	1	yes	characteristic
89	C₂×#1438	C₂²	1	1	yes	characteristic
90	C₂×#1438	C₂²	1	1	yes	characteristic
91	C₂×#1438	C₂²	1	1	yes	characteristic
92	C₂×#1437	C₂²	1	1	yes	characteristic
93	C₂×#1437	C₂²	1	1	yes	characteristic
94	C₂×#1437	C₂²	1	1	yes	characteristic
95	C₂×#1437	C₂²	1	1	yes	characteristic
96	C₂×#1437	C₂²	1	1	yes	characteristic
97	C₂×#1437	C₂²	1	1	yes	characteristic, complemented
98	C₂×#1436	C₂²	1	1	yes	characteristic, complemented
99	C₂×#1434	C₂²	1	1	yes	characteristic, complemented
100	C₂×#1434	C₂²	1	1	yes	characteristic, complemented
101	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
102	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
103	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
104	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
105	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
106	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
107	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic
108	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
109	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
110	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
111	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
112	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
113	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
114	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
115	C₂×C₂²⋊#95	C₂²	1	1	yes	characteristic, complemented
116	#7557	C₂²	1	1	yes	characteristic, complemented
117	#7557	C₂²	1	1	yes	characteristic, complemented
118	#7557	C₂²	1	1	yes	characteristic, complemented
119	#7557	C₂²	1	1	yes	characteristic, complemented
120	#7557	C₂²	1	1	yes	characteristic, complemented
121	#7557	C₂²	1	1	yes	characteristic, complemented
122	#7557	C₂²	1	1	yes	characteristic, complemented
123	#7557	C₂²	1	1	yes	characteristic, complemented
124	#7557	C₂²	1	1	yes	characteristic, complemented
125	#7556	C₂²	1	1	yes	characteristic, complemented
126	#7556	C₂²	1	1	yes	characteristic, complemented
127	#7556	C₂²	1	1	yes	characteristic, complemented
128	#7556	C₂²	1	1	yes	characteristic, complemented
129	#7556	C₂²	1	1	yes	characteristic, complemented
130	#7556	C₂²	1	1	yes	characteristic, complemented
131	#7556	C₂²	1	1	yes	characteristic, complemented
132	#7556	C₂²	1	1	yes	characteristic, complemented
133	#7556	C₂²	1	1	yes	characteristic, complemented
134	#7556	C₂²	1	1	yes	characteristic, complemented
135	#7556	C₂²	1	1	yes	characteristic, complemented
136	#7556	C₂²	1	1	yes	characteristic, complemented
137	#7556	C₂²	1	1	yes	characteristic, complemented
138	#7556	C₂²	1	1	yes	characteristic, complemented
139	#7556	C₂²	1	1	yes	characteristic, complemented
140	#7556	C₂²	1	1	yes	characteristic, complemented
141	#7556	C₂²	1	1	yes	characteristic, complemented
142	#7556	C₂²	1	1	yes	characteristic, complemented
143	#7556	C₂²	1	1	yes	characteristic, complemented
144	#7556	C₂²	1	1	yes	characteristic, complemented
145	#7556	C₂²	1	1	yes	characteristic, complemented
146	#7556	C₂²	1	1	yes	characteristic, complemented
147	#7555	C₂²	1	1	yes	characteristic
148	#7555	C₂²	1	1	yes	characteristic
149	#7555	C₂²	1	1	yes	characteristic
150	#7555	C₂²	1	1	yes	characteristic
151	#7555	C₂²	1	1	yes	characteristic
152	#7555	C₂²	1	1	yes	characteristic
153	#7555	C₂²	1	1	yes	characteristic
154	#7555	C₂²	1	1	yes	characteristic
155	#7555	C₂²	1	1	yes	characteristic
156	#7555	C₂²	1	1	yes	characteristic
157	#7555	C₂²	1	1	yes	characteristic
158	#7555	C₂²	1	1	yes	characteristic
159	#7555	C₂²	1	1	yes	characteristic
160	#7555	C₂²	1	1	yes	characteristic
161	#7555	C₂²	1	1	yes	characteristic
162	#7555	C₂²	1	1	yes	characteristic
163	#7555	C₂²	1	1	yes	characteristic
164	#7555	C₂²	1	1	yes	characteristic
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
177	#7555	C₂²	1	1	yes	characteristic
178	#7555	C₂²	1	1	yes	characteristic
179	#7555	C₂²	1	1	yes	characteristic
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	#7554	C₂²	1	1	yes	characteristic, complemented
184	#7554	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×D₄	C₂³	1	1	yes	characteristic
189	C₂⁴×D₄	C₂³	1	1	yes	characteristic
190	C₂⁴×D₄	C₂³	1	1	yes	characteristic
191	C₂⁵×C₄	C₂³	1	1	yes	characteristic
192	C₂⁵×C₄	C₂³	1	1	yes	characteristic
193	C₂⁵×C₄	C₂³	1	1	yes	characteristic
194	C₂⁵×C₄	C₂³	1	1	yes	characteristic
195	C₂⁵×C₄	C₂³	1	1	yes	characteristic
196	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
198	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂³×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
202	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
203	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
204	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
205	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
206	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
207	C₂³×C₂²⋊C₄	C₂³	1	1	yes	characteristic
208	C₂³×C₂²⋊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×C₄²	C₂³	1	1	yes	characteristic
248	C₂³×C₄²	C₂³	1	1	yes	characteristic
249	C₂×#386	D₄	1	8	yes	—
250	C₂²×#95	C₂³	1	1	yes	characteristic
251	C₂²×#95	C₂³	1	1	yes	characteristic
252	C₂²×#95	C₂³	1	1	yes	characteristic
253	C₂²×#95	C₂³	1	1	yes	characteristic
254	C₂²×#95	C₂³	1	1	yes	characteristic
255	C₂²×#95	C₂³	1	1	yes	characteristic
256	C₂²×#95	C₂³	1	1	yes	characteristic
257	C₂²×#95	C₂³	1	1	yes	characteristic
258	C₂²×#95	C₂³	1	1	yes	characteristic
259	C₂²×#95	C₂³	1	1	yes	characteristic
260	C₂²×#95	C₂³	1	1	yes	characteristic
261	C₂²×#95	C₂³	1	1	yes	characteristic
262	C₂²×#95	C₂³	1	1	yes	characteristic
263	C₂²×#95	C₂³	1	1	yes	characteristic
264	C₂²×#95	C₂³	1	1	yes	characteristic
265	C₂²×#95	C₂³	1	1	yes	characteristic
266	C₂²×#95	C₂³	1	1	yes	characteristic
267	C₂²×#95	C₂³	1	1	yes	characteristic
268	C₂²×#95	C₂³	1	1	yes	characteristic
269	C₂²×#95	C₂³	1	1	yes	characteristic
270	C₂²×#95	C₂³	1	1	yes	characteristic
271	C₂²×#95	C₂³	1	1	yes	characteristic
272	C₂²×#95	C₂³	1	1	yes	characteristic
273	C₂²×#95	C₂³	1	1	yes	characteristic
274	C₂²×#95	C₂³	1	1	yes	characteristic
275	C₂²×#95	C₂³	1	1	yes	characteristic
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	C₂⁶	C₂⁴	1	1	yes	characteristic
344	C₂⁶	C₂⁴	1	1	yes	characteristic
345	C₂⁶	C₂⁴	1	1	yes	characteristic
346	C₂⁶	C₂⁴	1	1	yes	characteristic
347	C₂³×D₄	C₂×D₄	1	4	yes	—
348	C₂³×D₄	#41	1	4	yes	—
349	C₂³×D₄	#41	1	4	yes	—
350	C₂³×D₄	#41	1	4	yes	—
351	C₂³×D₄	#41	1	4	yes	—
352	C₂⁴×C₄	C₂×D₄	1	4	yes	—
353	C₂⁴×C₄	#41	1	4	yes	—
354	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
355	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
356	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
357	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
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	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
382	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
383	C₂²×C₂²⋊C₄	C₂×D₄	1	4	yes	—
384	C₂²×C₂²⋊C₄	#41	1	4	yes	—
385	C₂²×C₂²⋊C₄	#41	1	4	yes	—
386	C₂×#95	C₂×D₄	1	4	yes	—
387	C₂×#95	C₂×D₄	1	4	yes	—
388	C₂⁵	C₂²×D₄	1	2	yes	—
389	C₂⁵	C₂²×D₄	1	2	yes	—
390	C₂⁵	C₂×#41	1	2	yes	—
391	C₂⁵	C₂×#41	1	2	yes	—
392	C₂⁵	C₂×#41	1	2	yes	—
393	C₂⁵	C₂×#41	1	2	yes	—
394	C₂⁵	C₂×#41	1	2	yes	—
395	C₂⁵	C₂×#41	1	2	yes	—
396	C₂⁵	C₂×#41	1	2	yes	—
397	C₂⁵	C₂×#41	1	2	yes	—
398	C₂⁵	C₂×#41	1	2	yes	—
399	C₂⁵	C₂×#41	1	2	yes	—
400	C₂⁵	C₂×#41	1	2	yes	—
401	C₂⁵	H(5,𝔽₂)	1	2	yes	—
402	C₂⁵	H(5,𝔽₂)	1	2	yes	—
403	C₂⁵	H(5,𝔽₂)	1	2	yes	—
404	C₂⁵	H(5,𝔽₂)	1	2	yes	—
405	C₂⁵	H(5,𝔽₂)	1	2	yes	—
406	C₂⁵	H(5,𝔽₂)	1	2	yes	—
407	C₂⁵	2₋¹⁺⁴	1	2	yes	—
408	C₂⁵	C₂⁵	1	1	yes	characteristic
409	C₂²×D₄	#123	1	16	yes	—
410	C₂³×C₄	C₂²×D₄	1	2	yes	—
411	C₂³×C₄	C₂²×D₄	1	2	yes	—
412	C₂³×C₄	C₂²×D₄	1	2	yes	—
413	C₂³×C₄	C₂²×D₄	1	2	yes	—
414	C₂³×C₄	C₂²×D₄	1	2	yes	—
415	C₂³×C₄	C₂×#41	1	2	yes	—
416	C₂³×C₄	C₂×#41	1	2	yes	—
417	C₂³×C₄	C₂×#41	1	2	yes	—
418	C₂³×C₄	C₂×#41	1	2	yes	—
419	C₂³×C₄	C₂×#41	1	2	yes	—
420	C₂³×C₄	C₂×#41	1	2	yes	—
421	C₂³×C₄	C₂×#41	1	2	yes	—
422	C₂³×C₄	C₂×#41	1	2	yes	—
423	C₂³×C₄	C₂×#41	1	2	yes	—
424	C₂³×C₄	C₂×#41	1	2	yes	—
425	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
426	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
427	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
428	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
429	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
430	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
431	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
432	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
433	C₂³×C₄	H(5,𝔽₂)	1	2	yes	—
434	C₂⁴	C₂×#123	1	4	yes	—
435	C₂⁴	C₂×#123	1	4	yes	—
436	C₂⁴	#525	1	4	yes	—
437	C₂⁴	#529	1	4	yes	—
438	C₂⁴	#535	1	4	yes	—
439	C₂⁴	#538	1	4	yes	—
440	C₂⁴	#539	1	4	yes	—
441	C₂⁴	#546	1	4	yes	—
442	C₂⁴	#546	1	4	yes	—
443	C₂⁴	#551	1	4	yes	—
444	C₂⁴	#551	1	4	yes	—
445	C₂⁴	#551	1	4	yes	—
446	C₂⁴	#551	1	4	yes	—
447	C₂⁴	#551	1	4	yes	—
448	C₂⁴	#553	1	4	yes	—
449	C₂⁴	#553	1	4	yes	—
450	C₂⁴	C₂³×D₄	1	1	yes	characteristic
451	C₂⁴	C₂²×#41	1	1	yes	characteristic
452	C₂⁴	C₂²×#41	1	1	yes	characteristic
453	C₂⁴	C₂²×#41	1	1	yes	characteristic
454	C₂⁴	C₂²×#41	1	1	yes	characteristic
455	C₂⁴	C₂²×#41	1	1	yes	characteristic
456	C₂⁴	C₂²×#41	1	1	yes	characteristic
457	C₂⁴	C₂²×#41	1	1	yes	characteristic
458	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
459	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
460	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
461	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
462	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
463	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
464	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
465	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
466	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
467	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
468	C₂⁴	C₂×H(5,𝔽₂)	1	1	yes	characteristic
469	C₂⁴	C₂×H(5,𝔽₂)	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	C₂×2₋¹⁺⁴	1	1	yes	characteristic
474	C₂⁴	#585	1	1	yes	characteristic
475	C₂⁴	#585	1	1	yes	characteristic
476	C₂⁴	#585	1	1	yes	characteristic
477	C₂⁴	#585	1	1	yes	characteristic
478	C₂⁴	#585	1	1	yes	characteristic
479	C₂⁴	#585	1	1	yes	characteristic
480	C₂⁴	#585	1	1	yes	characteristic
481	C₂²×C₄	C₂×#123	1	4	yes	—
482	C₂²×C₄	#538	1	4	yes	—
483	C₂³	#2444	1	8	yes	—
484	C₂³	#2482	1	8	yes	—
485	C₂³	C₂²×#123	1	1	yes	characteristic
486	C₂³	C₂×#525	1	1	yes	characteristic
487	C₂³	C₂×#529	1	1	yes	characteristic
488	C₂³	C₂×#535	1	1	yes	characteristic
489	C₂³	C₂×#538	1	1	yes	characteristic
490	C₂³	C₂×#538	1	1	yes	characteristic
491	C₂³	C₂×#539	1	1	yes	characteristic
492	C₂³	#3459	1	1	yes	characteristic
493	C₂³	#3460	1	1	yes	characteristic
494	C₂³	#3460	1	1	yes	characteristic
495	C₂³	C₂×#546	1	1	yes	characteristic
496	C₂³	C₂×#546	1	1	yes	characteristic
497	C₂³	D₄×#41	1	1	yes	characteristic
498	C₂³	C₂×#551	1	1	yes	characteristic
499	C₂³	C₂×#551	1	1	yes	characteristic
500	C₂³	C₂×#551	1	1	yes	characteristic
501	C₂³	C₂×#551	1	1	yes	characteristic
502	C₂³	C₂×#551	1	1	yes	characteristic
503	C₂³	C₂×#553	1	1	yes	characteristic
504	C₂³	C₂×#553	1	1	yes	characteristic
505	C₂³	#3475	1	1	yes	characteristic
506	C₂³	#3475	1	1	yes	characteristic
507	C₂³	#3475	1	1	yes	characteristic
508	C₂³	#3475	1	1	yes	characteristic
509	C₂³	#3481	1	1	yes	characteristic
510	C₂³	#3481	1	1	yes	characteristic
511	C₂³	#3481	1	1	yes	characteristic
512	C₂³	#3481	1	1	yes	characteristic
513	C₂³	#3481	1	1	yes	characteristic
514	C₂³	#3484	1	1	yes	characteristic
515	C₂³	#3484	1	1	yes	characteristic
516	C₂³	#3484	1	1	yes	characteristic
517	C₂³	#3485	1	1	yes	characteristic
518	C₂³	#3488	1	1	yes	characteristic
519	C₂³	#3489	1	1	yes	characteristic
520	C₂³	#3490	1	1	yes	characteristic
521	C₂³	#3490	1	1	yes	characteristic
522	C₂³	#3490	1	1	yes	characteristic
523	C₂³	#3490	1	1	yes	characteristic
524	C₂³	#3490	1	1	yes	characteristic
525	C₂³	#3490	1	1	yes	characteristic
526	C₂³	#3490	1	1	yes	characteristic
527	C₂³	#3490	1	1	yes	characteristic
528	C₂³	#3491	1	1	yes	characteristic
529	C₂³	#3492	1	1	yes	characteristic
530	C₂³	#3494	1	1	yes	characteristic
531	C₂³	#3494	1	1	yes	characteristic
532	C₂³	#3495	1	1	yes	characteristic
533	C₂³	#3496	1	1	yes	characteristic
534	C₂³	#3496	1	1	yes	characteristic
535	C₂³	#3498	1	1	yes	characteristic
536	C₂³	#3505	1	1	yes	characteristic
537	C₂³	#3505	1	1	yes	characteristic
538	C₂³	#3505	1	1	yes	characteristic
539	C₂³	#3505	1	1	yes	characteristic
540	C₂³	#3505	1	1	yes	characteristic
541	C₂³	#3505	1	1	yes	characteristic
542	C₂³	#3505	1	1	yes	characteristic
543	C₂³	#3505	1	1	yes	characteristic
544	C₂³	#3505	1	1	yes	characteristic
545	C₂³	#3506	1	1	yes	characteristic
546	C₂³	#3508	1	1	yes	characteristic
547	C₂³	#3513	1	1	yes	characteristic
548	C₂³	#3513	1	1	yes	characteristic
549	C₂³	#3513	1	1	yes	characteristic
550	C₂³	#3513	1	1	yes	characteristic
551	C₂³	#3513	1	1	yes	characteristic
552	C₂³	#3513	1	1	yes	characteristic
553	C₂³	#3513	1	1	yes	characteristic
554	C₂³	#3513	1	1	yes	characteristic
555	C₂³	#3513	1	1	yes	characteristic
556	C₂³	#3513	1	1	yes	characteristic
557	C₂³	#3513	1	1	yes	characteristic
558	C₂³	#3513	1	1	yes	characteristic
559	C₂³	#3514	1	1	yes	characteristic
560	C₂³	#3514	1	1	yes	characteristic
561	C₂³	#3514	1	1	yes	characteristic
562	C₂³	#3514	1	1	yes	characteristic
563	C₂³	#3514	1	1	yes	characteristic
564	C₂³	#3514	1	1	yes	characteristic
565	C₂³	#3519	1	1	yes	characteristic
566	C₂³	#3519	1	1	yes	characteristic
567	C₂³	#3519	1	1	yes	characteristic
568	C₂³	#3519	1	1	yes	characteristic
569	C₂³	#3519	1	1	yes	characteristic
570	C₂³	#3519	1	1	yes	characteristic
571	C₂³	#3519	1	1	yes	characteristic
572	C₂³	#3519	1	1	yes	characteristic
573	C₂³	#3519	1	1	yes	characteristic
574	C₂³	#3520	1	1	yes	characteristic
575	C₂³	#3520	1	1	yes	characteristic
576	C₂³	#3520	1	1	yes	characteristic
577	C₂³	#3520	1	1	yes	characteristic
578	C₂³	#3521	1	1	yes	characteristic
579	C₂³	#3521	1	1	yes	characteristic
580	C₂³	#3529	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	#3532	1	1	yes	characteristic
590	C₂³	#3532	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	#3533	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	#3534	1	1	yes	characteristic
607	C₂³	#3535	1	1	yes	characteristic
608	C₂³	#3535	1	1	yes	characteristic
609	C₂³	#3535	1	1	yes	characteristic
610	C₂³	#3536	1	1	yes	characteristic
611	C₂³	#3536	1	1	yes	characteristic
612	C₂³	#3537	1	1	yes	characteristic
613	C₂³	#3537	1	1	yes	characteristic
614	C₂³	#3537	1	1	yes	characteristic
615	C₂³	#3537	1	1	yes	characteristic
616	C₂³	#3537	1	1	yes	characteristic
617	C₂³	#3537	1	1	yes	characteristic
618	C₂³	#3537	1	1	yes	characteristic
619	C₂³	#3539	1	1	yes	characteristic
620	C₂³	#3540	1	1	yes	characteristic
621	C₂³	#3541	1	1	yes	characteristic
622	C₂³	#3542	1	1	yes	characteristic
623	C₂³	#3542	1	1	yes	characteristic
624	C₂³	#3542	1	1	yes	characteristic
625	C₂³	#3542	1	1	yes	characteristic
626	C₂³	#3542	1	1	yes	characteristic
627	C₂³	#3543	1	1	yes	characteristic
628	C₂³	#3543	1	1	yes	characteristic
629	C₂³	#3543	1	1	yes	characteristic
630	C₂³	#3545	1	1	yes	characteristic
631	C₂³	#3546	1	1	yes	characteristic
632	C₂³	#3558	1	1	yes	characteristic
633	C₂³	#3558	1	1	yes	characteristic
634	C₂³	#3560	1	1	yes	characteristic
635	C₂³	#3560	1	1	yes	characteristic
636	C₂³	#3560	1	1	yes	characteristic
637	C₂³	#3560	1	1	yes	characteristic
638	C₂³	#3561	1	1	yes	characteristic
639	C₂³	#3568	1	1	yes	characteristic
640	C₂²	C₂×#2444	1	1	yes	characteristic
641	C₂²	C₂×#2482	1	1	yes	characteristic
642	C₂²	#34991	1	1	yes	characteristic
643	C₂²	#35025	1	1	yes	characteristic
644	C₂²	#35351	1	1	yes	characteristic
645	C₂²	#35361	1	1	yes	characteristic
646	C₂²	#35375	1	1	yes	characteristic
647	C₂²	#35713	1	1	yes	characteristic
648	C₂²	#35713	1	1	yes	characteristic
649	C₂²	#35762	1	1	yes	characteristic
650	C₂²	#35942	1	1	yes	characteristic
651	C₂²	#35987	1	1	yes	characteristic
652	C₂²	#36159	1	1	yes	characteristic
653	C₂²	#36216	1	1	yes	characteristic
654	C₂²	#36220	1	1	yes	characteristic
655	C₂²	#36242	1	1	yes	characteristic
656	C₂²	#36242	1	1	yes	characteristic
657	C₂²	#36248	1	1	yes	characteristic
658	C₂²	#36316	1	1	yes	characteristic
659	C₂²	#36776	1	1	yes	characteristic
660	C₂²	#36839	1	1	yes	characteristic
661	C₂²	#37660	1	1	yes	characteristic
662	C₂²	#37802	1	1	yes	characteristic
663	C₂²	#37833	1	1	yes	characteristic
664	C₂²	#37901	1	1	yes	characteristic
665	C₂²	#37909	1	1	yes	characteristic
666	C₂²	#38023	1	1	yes	characteristic
667	C₂²	#38052	1	1	yes	characteristic
668	C₂²	#38108	1	1	yes	characteristic
669	C₂²	#38108	1	1	yes	characteristic
670	C₂²	#38109	1	1	yes	characteristic
671	C₂²	#38423	1	1	yes	characteristic
672	C₂²	#38533	1	1	yes	characteristic
673	C₂²	#38576	1	1	yes	characteristic
674	C₂²	#38628	1	1	yes	characteristic
675	C₂²	#39036	1	1	yes	characteristic
676	C₂²	#39037	1	1	yes	characteristic
677	C₂²	#39060	1	1	yes	characteristic
678	C₂²	#39189	1	1	yes	characteristic
679	C₂²	#39252	1	1	yes	characteristic
680	C₂²	#39429	1	1	yes	characteristic
681	C₂²	#39935	1	1	yes	characteristic
682	C₂²	#40244	1	1	yes	characteristic
683	C₂²	#40345	1	1	yes	characteristic
684	C₂²	#40345	1	1	yes	characteristic
685	C₂²	#40392	1	1	yes	characteristic
686	C₂²	#40396	1	1	yes	characteristic
687	C₂²	#40436	1	1	yes	characteristic
688	C₂²	#40490	1	1	yes	characteristic
689	C₂²	#40517	1	1	yes	characteristic
690	C₂²	#40594	1	1	yes	characteristic
691	C₂²	#40640	1	1	yes	characteristic
692	C₂²	#40696	1	1	yes	characteristic
693	C₂²	#40721	1	1	yes	characteristic
694	C₂²	#40728	1	1	yes	characteristic
695	C₂²	#40759	1	1	yes	characteristic
696	C₂²	#40922	1	1	yes	characteristic
697	C₂²	#40939	1	1	yes	characteristic
698	C₂²	#41165	1	1	yes	characteristic
699	C₂²	#42997	1	1	yes	characteristic
700	C₂²	#43038	1	1	yes	characteristic
701	C₂²	#43050	1	1	yes	characteristic
702	C₂²	#43050	1	1	yes	characteristic
703	C₂²	#43059	1	1	yes	characteristic
704	C₂²	#43092	1	1	yes	characteristic
705	C₂²	#43197	1	1	yes	characteristic
706	C₂²	#43200	1	1	yes	characteristic
707	C₂²	#43212	1	1	yes	characteristic
708	C₂²	#43224	1	1	yes	characteristic
709	C₂²	#43224	1	1	yes	characteristic
710	C₂²	#43363	1	1	yes	characteristic
711	C₂²	#43368	1	1	yes	characteristic
712	C₂²	#43508	1	1	yes	characteristic
713	C₂²	#43595	1	1	yes	characteristic
714	C₂²	#43667	1	1	yes	characteristic
715	C₂²	#43668	1	1	yes	characteristic
716	C₂²	#43791	1	1	yes	characteristic
717	C₂²	#43887	1	1	yes	characteristic
718	C₂²	#43932	1	1	yes	characteristic
719	C₂²	#43941	1	1	yes	characteristic
720	C₂²	#43964	1	1	yes	characteristic
721	C₂²	#43971	1	1	yes	characteristic
722	C₂²	#43979	1	1	yes	characteristic
723	C₂²	#44104	1	1	yes	characteristic
724	C₂²	#44244	1	1	yes	characteristic
725	C₂²	#44342	1	1	yes	characteristic
726	C₂²	#44590	1	1	yes	characteristic
727	C₂²	#44656	1	1	yes	characteristic
728	C₂²	#45447	1	1	yes	characteristic
729	C₂²	#45638	1	1	yes	characteristic
730	C₂²	#45694	1	1	yes	characteristic
731	C₂²	#45698	1	1	yes	characteristic
732	C₂²	#46070	1	1	yes	characteristic
733	C₂²	#46381	1	1	yes	characteristic
734	C₂²	#46384	1	1	yes	characteristic
735	C₂²	#46500	1	1	yes	characteristic
736	C₂²	#46642	1	1	yes	characteristic
737	C₂²	#47063	1	1	yes	characteristic
738	C₂²	#47096	1	1	yes	characteristic
739	C₂²	#47352	1	1	yes	characteristic
740	C₂²	#47367	1	1	yes	characteristic
741	C₂²	#47878	1	1	yes	characteristic
742	C₂²	#47903	1	1	yes	characteristic
743	C₂²	#47942	1	1	yes	characteristic
744	C₂²	#48049	1	1	yes	characteristic
745	C₂²	#48204	1	1	yes	characteristic
746	C₂²	#48326	1	1	yes	characteristic
747	C₂²	#48405	1	1	yes	characteristic
748	C₂²	#48406	1	1	yes	characteristic
749	C₂²	#48442	1	1	yes	characteristic
750	C₂²	#48487	1	1	yes	characteristic
751	C₂²	#48550	1	1	yes	characteristic
752	C₂²	#48555	1	1	yes	characteristic
753	C₂²	#48695	1	1	yes	characteristic
754	C₂²	#48696	1	1	yes	characteristic
755	C₂²	#49254	1	1	yes	characteristic
756	C₂²	#49476	1	1	yes	characteristic
757	C₂²	#49554	1	1	yes	characteristic
758	C₂²	#49569	1	1	yes	characteristic
759	C₂²	#49748	1	1	yes	characteristic
760	C₂²	#50535	1	1	yes	characteristic
761	C₂²	#51169	1	1	yes	characteristic
762	C₂²	#51549	1	1	yes	characteristic
763	C₂²	#51581	1	1	yes	characteristic
764	C₂²	#51633	1	1	yes	characteristic
765	C₂²	#51687	1	1	yes	characteristic
766	C₂²	#51937	1	1	yes	characteristic
767	C₂²	#52243	1	1	yes	characteristic
768	C₂²	#52486	1	1	yes	characteristic
769	C₂²	#55034	1	1	yes	characteristic
770	C₂²	#55040	1	1	yes	characteristic
771	C₂²	#55096	1	1	yes	characteristic
772	C₂²	#55103	1	1	yes	characteristic
773	C₂²	#55149	1	1	yes	characteristic
774	C₂²	#56324	1	1	yes	characteristic
775	C₂²	#57591	1	1	yes	characteristic
776	C₂²	#57970	1	1	yes	characteristic
777	C₂²	#57971	1	1	yes	characteristic
778	C₂²	#57979	1	1	yes	characteristic
779	C₂²	#58188	1	1	yes	characteristic
780	C₂²	#59008	1	1	yes	characteristic
781	C₂²	#59195	1	1	yes	characteristic
782	C₂²	#59207	1	1	yes	characteristic
783	C₂²	#59267	1	1	yes	characteristic
784	C₂²	#59301	1	1	yes	characteristic
785	C₂²	#59301	1	1	yes	characteristic
786	C₂²	#59369	1	1	yes	characteristic
787	C₂²	#59385	1	1	yes	characteristic
788	C₂²	#59468	1	1	yes	characteristic
789	C₂²	#59470	1	1	yes	characteristic
790	C₂²	#59800	1	1	yes	characteristic
791	C₂²	#59850	1	1	yes	characteristic
792	C₂²	#59850	1	1	yes	characteristic
793	C₂²	#59940	1	1	yes	characteristic
794	C₂²	#60037	1	1	yes	characteristic
795	C₂	#656464	1	1	yes	characteristic
796	C₂	#689076	1	1	yes	characteristic
797	C₂	#706314	1	1	yes	characteristic
798	C₂	#777499	1	1	yes	characteristic
799	C₂	#789594	1	1	yes	characteristic
800	C₂	#861527	1	1	yes	characteristic
801	C₂	#903746	1	1	yes	characteristic
802	C₂	#1043794	1	1	yes	characteristic
803	C₂	#1095269	1	1	yes	characteristic
804	C₂	#1100293	1	1	yes	characteristic
805	C₂	#1126592	1	1	yes	characteristic
806	C₂	#1275601	1	1	yes	characteristic
807	C₂	#1361348	1	1	yes	characteristic
808	C₂	#1430912	1	1	yes	characteristic
809	C₂	#1446230	1	1	yes	characteristic
810	C₂	#1574578	1	1	yes	characteristic
811	C₂	#1578271	1	1	yes	characteristic
812	C₂	#2077625	1	1	yes	characteristic
813	C₂	#2179315	1	1	yes	characteristic
814	C₂	#2241005	1	1	yes	characteristic
815	C₂	#2241027	1	1	yes	characteristic
816	C₂	#2329034	1	1	yes	characteristic
817	C₂	#2831838	1	1	yes	characteristic
818	C₂	#2950285	1	1	yes	characteristic
819	C₂	#3341009	1	1	yes	characteristic
820	C₂	#3501297	1	1	yes	characteristic
821	C₂	#3966460	1	1	yes	characteristic
822	C₂	#4001594	1	1	yes	characteristic
823	C₂	#4033000	1	1	yes	characteristic
824	C₂	#4063969	1	1	yes	characteristic
825	C₂	#4943985	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂⁵	C₂⁵
prime radical	C₂³×#120	C₂²
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. C₂×#14375	C₂	semidirect
3. #159685	C₂	semidirect
4. #159664	C₂	semidirect
5. #159663	C₂	semidirect
6. #158632	C₂	semidirect
7. #158254	C₂	semidirect
8. #158068	C₂	semidirect
9. #157943	C₂	semidirect
10. #157700	C₂	semidirect
11. #157632	C₂	semidirect
12. #157267	C₂	semidirect
13. #156856	C₂	semidirect
14. #156841	C₂	semidirect
15. #156814	C₂	semidirect
16. #155826	C₂	semidirect
17. #155628	C₂	semidirect
18. #155292	C₂	semidirect
19. #155106	C₂	semidirect
20. #154727	C₂	semidirect
21. #154700	C₂	semidirect
22. #154694	C₂	semidirect
23. #154677	C₂	semidirect
26. #154446	C₂	semidirect
27. #154208	C₂	semidirect
28. #154197	C₂	semidirect
29. #154194	C₂	semidirect
30. #154130	C₂	semidirect
31. #153827	C₂	semidirect
45. C₂²×#385	C₂²	semidirect
53. C₂³×#95	C₂²	semidirect
54. C₂×#1445	C₂²	semidirect
55. C₂×#1445	C₂²	semidirect
56. C₂×#1444	C₂²	semidirect
57. C₂×#1443	C₂²	semidirect
58. C₂×#1443	C₂²	semidirect
59. C₂×#1443	C₂²	semidirect
60. C₂×#1443	C₂²	semidirect
61. C₂×#1443	C₂²	semidirect
62. C₂×#1443	C₂²	semidirect
63. C₂×#1442	C₂²	semidirect
82. C₂×#1439	C₂²	semidirect
83. C₂×#1439	C₂²	semidirect
97. C₂×#1437	C₂²	semidirect
98. C₂×#1436	C₂²	semidirect
99. C₂×#1434	C₂²	semidirect
100. C₂×#1434	C₂²	semidirect
108. C₂×C₂²⋊#95	C₂²	semidirect
109. C₂×C₂²⋊#95	C₂²	semidirect
110. C₂×C₂²⋊#95	C₂²	semidirect
111. C₂×C₂²⋊#95	C₂²	semidirect
112. C₂×C₂²⋊#95	C₂²	semidirect
113. C₂×C₂²⋊#95	C₂²	semidirect
114. C₂×C₂²⋊#95	C₂²	semidirect
115. C₂×C₂²⋊#95	C₂²	semidirect
116. #7557	C₂²	semidirect
117. #7557	C₂²	semidirect
118. #7557	C₂²	semidirect
119. #7557	C₂²	semidirect
120. #7557	C₂²	semidirect
121. #7557	C₂²	semidirect
122. #7557	C₂²	semidirect
123. #7557	C₂²	semidirect
124. #7557	C₂²	semidirect
125. #7556	C₂²	semidirect
126. #7556	C₂²	semidirect
127. #7556	C₂²	semidirect
128. #7556	C₂²	semidirect
129. #7556	C₂²	semidirect
130. #7556	C₂²	semidirect
131. #7556	C₂²	semidirect
132. #7556	C₂²	semidirect
133. #7556	C₂²	semidirect
134. #7556	C₂²	semidirect
135. #7556	C₂²	semidirect
136. #7556	C₂²	semidirect
137. #7556	C₂²	semidirect
138. #7556	C₂²	semidirect
139. #7556	C₂²	semidirect
140. #7556	C₂²	semidirect
141. #7556	C₂²	semidirect
142. #7556	C₂²	semidirect
143. #7556	C₂²	semidirect
144. #7556	C₂²	semidirect
145. #7556	C₂²	semidirect
146. #7556	C₂²	semidirect
180. #7555	C₂²	semidirect
181. #7555	C₂²	semidirect
182. #7555	C₂²	semidirect
183. #7554	C₂²	semidirect
184. #7554	C₂²	semidirect
185. #7554	C₂²	semidirect
186. #7554	C₂²	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14375	2
C₂×#13967	2
#159685	2
#159664	2
#159663	2
#158632	2
#158254	2
#158068	2
#157943	2
#157700	2
#157632	2
#157267	2
#156856	2
#156841	2
#156814	2
#155826	2
#155628	2
#155292	2
#155106	2
#154727	2
#154700	2
#154694	2
#154677	2
#154670	2
#154446	2
#154208	2
#154197	2
#154194	2
#154130	2
#153827	2