Subgroups — #37848

Order 256.

1642 conjugacy classes of subgroups.

The subgroup lattice has 921 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#2846	C₂	1	1	yes	maximal, characteristic
2	#2736	C₂	1	1	yes	maximal, characteristic, complemented
3	#2735	C₂	1	1	yes	maximal, characteristic, complemented
4	#2735	C₂	1	1	yes	maximal, characteristic, complemented
5	#2735	C₂	1	1	yes	maximal, characteristic, complemented
6	#2697	C₂	1	1	yes	maximal, characteristic, complemented
7	#2685	C₂	1	1	yes	maximal, characteristic, complemented
8	#2685	C₂	1	1	yes	maximal, characteristic, complemented
9	#2684	C₂	1	1	yes	maximal, characteristic, complemented
10	#2626	C₂	1	1	yes	maximal, characteristic, complemented
11	#2622	C₂	1	1	yes	maximal, characteristic, complemented
12	#2561	C₂	1	1	yes	maximal, characteristic, complemented
13	#2534	C₂	1	1	yes	maximal, characteristic, complemented
14	#2482	C₂	1	1	yes	maximal, characteristic, complemented
15	#2480	C₂	1	1	yes	maximal, characteristic, complemented
16	#2480	C₂	1	1	yes	maximal, characteristic, complemented
17	#2480	C₂	1	1	yes	maximal, characteristic, complemented
18	#2480	C₂	1	1	yes	maximal, characteristic, complemented
19	#2472	C₂	1	1	yes	maximal, characteristic, complemented
20	#2472	C₂	1	1	yes	maximal, characteristic, complemented
21	#2437	C₂	1	1	yes	maximal, characteristic, complemented
22	#2418	C₂	1	1	yes	maximal, characteristic, complemented
23	#2418	C₂	1	1	yes	maximal, characteristic, complemented
24	#2412	C₂	1	1	yes	maximal, characteristic, complemented
25	#2411	C₂	1	1	yes	maximal, characteristic, complemented
26	#2358	C₂	1	1	yes	maximal, characteristic, complemented
27	#2342	C₂	1	1	yes	maximal, characteristic, complemented
28	#2321	C₂	1	1	yes	maximal, characteristic, complemented
29	#2312	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#379	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#379	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁶	C₂²	1	1	yes	characteristic
33	C₂×#126	C₂²	1	1	yes	characteristic, complemented
34	C₂×#126	C₂²	1	1	yes	characteristic, complemented
35	C₂×#124	C₂²	1	1	yes	characteristic, complemented
36	C₂×#123	C₂²	1	1	yes	characteristic, complemented
37	C₂×#123	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
40	C₂×#120	C₂²	1	1	yes	characteristic
41	C₂×#120	C₂²	1	1	yes	characteristic
42	C₂×#120	C₂²	1	1	yes	characteristic
43	C₂×#120	C₂²	1	1	yes	characteristic
44	C₂×#120	C₂²	1	1	yes	characteristic
45	C₂×#120	C₂²	1	1	yes	characteristic
46	C₂×#120	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
49	C₂×#117	C₂²	1	1	yes	characteristic, complemented
50	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
51	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
52	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
53	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
54	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
55	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
56	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
57	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
58	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
59	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
60	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
61	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
62	#399	C₂²	1	1	yes	characteristic, complemented
63	#399	C₂²	1	1	yes	characteristic, complemented
64	#399	C₂²	1	1	yes	characteristic, complemented
65	#399	C₂²	1	1	yes	characteristic, complemented
66	#397	C₂²	1	1	yes	characteristic, complemented
67	#397	C₂²	1	1	yes	characteristic, complemented
68	#397	C₂²	1	1	yes	characteristic, complemented
69	#397	C₂²	1	1	yes	characteristic, complemented
70	#397	C₂²	1	1	yes	characteristic, complemented
71	#397	C₂²	1	1	yes	characteristic, complemented
72	#397	C₂²	1	1	yes	characteristic, complemented
73	#397	C₂²	1	1	yes	characteristic, complemented
74	#397	C₂²	1	1	yes	characteristic, complemented
75	#397	C₂²	1	1	yes	characteristic, complemented
76	#397	C₂²	1	1	yes	characteristic, complemented
77	#397	C₂²	1	1	yes	characteristic, complemented
78	#397	C₂²	1	1	yes	characteristic, complemented
79	#397	C₂²	1	1	yes	characteristic, complemented
80	#396	C₂²	1	1	yes	characteristic, complemented
81	#396	C₂²	1	1	yes	characteristic, complemented
82	#396	C₂²	1	1	yes	characteristic, complemented
83	#396	C₂²	1	1	yes	characteristic, complemented
84	#396	C₂²	1	1	yes	characteristic, complemented
85	#396	C₂²	1	1	yes	characteristic, complemented
86	#396	C₂²	1	1	yes	characteristic, complemented
87	#396	C₂²	1	1	yes	characteristic, complemented
88	#394	C₂²	1	1	yes	characteristic, complemented
89	#394	C₂²	1	1	yes	characteristic, complemented
90	#394	C₂²	1	1	yes	characteristic, complemented
91	#394	C₂²	1	1	yes	characteristic, complemented
92	#394	C₂²	1	1	yes	characteristic, complemented
93	#394	C₂²	1	1	yes	characteristic, complemented
94	#394	C₂²	1	1	yes	characteristic, complemented
95	#394	C₂²	1	1	yes	characteristic, complemented
96	#394	C₂²	1	1	yes	characteristic, complemented
97	#394	C₂²	1	1	yes	characteristic, complemented
98	#393	C₂²	1	1	yes	characteristic, complemented
99	#393	C₂²	1	1	yes	characteristic, complemented
100	#393	C₂²	1	1	yes	characteristic, complemented
101	#393	C₂²	1	1	yes	characteristic, complemented
102	#390	C₂²	1	1	yes	characteristic, complemented
103	#390	C₂²	1	1	yes	characteristic, complemented
104	#390	C₂²	1	1	yes	characteristic, complemented
105	#390	C₂²	1	1	yes	characteristic, complemented
106	#388	C₂²	1	1	yes	characteristic, complemented
107	#388	C₂²	1	1	yes	characteristic, complemented
108	#388	C₂²	1	1	yes	characteristic, complemented
109	#388	C₂²	1	1	yes	characteristic, complemented
110	#388	C₂²	1	1	yes	characteristic, complemented
111	#388	C₂²	1	1	yes	characteristic, complemented
112	#388	C₂²	1	1	yes	characteristic, complemented
113	#388	C₂²	1	1	yes	characteristic, complemented
114	#388	C₂²	1	1	yes	characteristic, complemented
115	#388	C₂²	1	1	yes	characteristic, complemented
116	#388	C₂²	1	1	yes	characteristic, complemented
117	#388	C₂²	1	1	yes	characteristic, complemented
118	#388	C₂²	1	1	yes	characteristic, complemented
119	#388	C₂²	1	1	yes	characteristic, complemented
120	#388	C₂²	1	1	yes	characteristic, complemented
121	#388	C₂²	1	1	yes	characteristic, complemented
122	#388	C₂²	1	1	yes	characteristic, complemented
123	#388	C₂²	1	1	yes	characteristic, complemented
124	#388	C₂²	1	1	yes	characteristic, complemented
125	#388	C₂²	1	1	yes	characteristic, complemented
126	#388	C₂²	1	1	yes	characteristic, complemented
127	#388	C₂²	1	1	yes	characteristic, complemented
128	#388	C₂²	1	1	yes	characteristic, complemented
129	#388	C₂²	1	1	yes	characteristic, complemented
130	#388	C₂²	1	1	yes	characteristic, complemented
131	#388	C₂²	1	1	yes	characteristic, complemented
132	#388	C₂²	1	1	yes	characteristic, complemented
133	#388	C₂²	1	1	yes	characteristic, complemented
134	#386	C₂²	1	1	yes	characteristic, complemented
135	#386	C₂²	1	1	yes	characteristic, complemented
136	#386	C₂²	1	1	yes	characteristic, complemented
137	#386	C₂²	1	1	yes	characteristic, complemented
138	#386	C₂²	1	1	yes	characteristic, complemented
139	#386	C₂²	1	1	yes	characteristic, complemented
140	#386	C₂²	1	1	yes	characteristic, complemented
141	#386	C₂²	1	1	yes	characteristic, complemented
142	#386	C₂²	1	1	yes	characteristic, complemented
143	#385	C₂²	1	1	yes	characteristic, complemented
144	#385	C₂²	1	1	yes	characteristic, complemented
145	#385	C₂²	1	1	yes	characteristic, complemented
146	#385	C₂²	1	1	yes	characteristic, complemented
147	#385	C₂²	1	1	yes	characteristic, complemented
148	#385	C₂²	1	1	yes	characteristic, complemented
149	#385	C₂²	1	1	yes	characteristic, complemented
150	#385	C₂²	1	1	yes	characteristic, complemented
151	#385	C₂²	1	1	yes	characteristic, complemented
152	#381	C₂²	1	1	yes	characteristic, complemented
153	#381	C₂²	1	1	yes	characteristic, complemented
154	#380	C₂²	1	1	yes	characteristic, complemented
155	#380	C₂²	1	1	yes	characteristic, complemented
156	#380	C₂²	1	1	yes	characteristic, complemented
157	#380	C₂²	1	1	yes	characteristic, complemented
158	#380	C₂²	1	1	yes	characteristic, complemented
159	#379	C₂²	1	1	yes	characteristic
160	#379	C₂²	1	1	yes	characteristic
161	#379	C₂²	1	1	yes	characteristic
162	#379	C₂²	1	1	yes	characteristic
163	#379	C₂²	1	1	yes	characteristic
164	#379	C₂²	1	1	yes	characteristic
165	#379	C₂²	1	1	yes	characteristic
166	#379	C₂²	1	1	yes	characteristic
167	#379	C₂²	1	1	yes	characteristic
168	#379	C₂²	1	1	yes	characteristic
169	#379	C₂²	1	1	yes	characteristic
170	#379	C₂²	1	1	yes	characteristic
171	#379	C₂²	1	1	yes	characteristic
172	#379	C₂²	1	1	yes	characteristic
173	#379	C₂²	1	1	yes	characteristic
174	#379	C₂²	1	1	yes	characteristic
175	#379	C₂²	1	1	yes	characteristic
176	#379	C₂²	1	1	yes	characteristic
177	#379	C₂²	1	1	yes	characteristic
178	#379	C₂²	1	1	yes	characteristic
179	#379	C₂²	1	1	yes	characteristic
180	#379	C₂²	1	1	yes	characteristic
181	#379	C₂²	1	1	yes	characteristic
182	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
187	C₂⁵	—	2	4	no	—
188	C₂⁵	—	2	4	no	—
189	C₂⁵	—	4	2	no	—
190	C₂⁵	—	4	2	no	—
191	C₂⁵	—	4	2	no	—
192	C₂⁵	—	4	2	no	—
193	C₂⁵	—	4	2	no	—
194	C₂⁵	C₂³	1	1	yes	characteristic
195	C₂⁵	C₂³	1	1	yes	characteristic
196	C₂⁵	C₂³	1	1	yes	characteristic
197	C₂⁵	C₂³	1	1	yes	characteristic
198	C₂⁵	C₂³	1	1	yes	characteristic
199	C₂⁵	C₂³	1	1	yes	characteristic
200	C₂⁵	C₂³	1	1	yes	characteristic
201	C₂²×Q₈	C₂³	1	1	yes	characteristic, complemented
202	C₂²×D₄	C₂³	1	1	yes	characteristic
203	C₂²×D₄	C₂³	1	1	yes	characteristic
204	C₂²×D₄	C₂³	1	1	yes	characteristic
205	C₂²×D₄	C₂³	1	1	yes	characteristic
206	C₂²×D₄	C₂³	1	1	yes	characteristic
207	C₂²×D₄	C₂³	1	1	yes	characteristic
208	C₂²×D₄	C₂³	1	1	yes	characteristic
209	C₂³×C₄	C₂³	1	1	yes	characteristic
210	C₂³×C₄	C₂³	1	1	yes	characteristic
211	C₂³×C₄	C₂³	1	1	yes	characteristic
212	C₂³×C₄	C₂³	1	1	yes	characteristic
213	C₂³×C₄	C₂³	1	1	yes	characteristic
214	C₂³×C₄	C₂³	1	1	yes	characteristic
215	C₂³×C₄	C₂³	1	1	yes	characteristic
216	C₂³×C₄	C₂³	1	1	yes	characteristic
217	C₂³×C₄	C₂³	1	1	yes	characteristic, complemented
218	#126	—	4	2	no	—
219	#126	—	4	2	no	—
220	#124	—	4	2	no	—
221	#123	—	4	2	no	—
222	#123	—	4	2	no	—
223	C₂²⋊Q₈	—	4	2	no	—
224	C₂²⋊Q₈	—	4	2	no	—
225	#120	—	2	4	no	—
226	#120	—	2	4	no	—
227	#120	—	4	2	no	—
228	#120	—	4	2	no	—
229	#120	—	4	2	no	—
230	#120	—	4	2	no	—
231	#120	—	4	2	no	—
232	C₄×D₄	—	4	2	no	—
233	C₄×D₄	—	4	2	no	—
234	#117	—	4	2	no	—
235	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
236	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
237	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
238	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
239	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
240	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
241	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
242	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
243	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
244	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
245	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
246	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
247	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
248	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
249	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
250	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
251	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
252	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
253	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
254	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
255	C₂×C₂²⋊C₄	—	2	4	no	—
256	C₂×C₂²⋊C₄	—	2	4	no	—
257	C₂×C₂²⋊C₄	—	4	2	no	—
258	C₂×C₂²⋊C₄	—	4	2	no	—
259	C₂×C₂²⋊C₄	—	4	2	no	—
260	C₂×C₂²⋊C₄	—	4	2	no	—
261	C₂×C₂²⋊C₄	—	4	2	no	—
262	C₂×C₂²⋊C₄	—	4	2	no	—
263	C₂×C₂²⋊C₄	—	4	2	no	—
264	C₂×C₂²⋊C₄	—	4	2	no	—
265	C₂×C₂²⋊C₄	—	4	2	no	—
266	C₂×C₂²⋊C₄	—	4	2	no	—
267	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
325	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
326	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
327	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
328	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
336	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
337	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
338	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
339	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
340	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
341	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
342	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
343	C₂×C₄²	C₂³	1	1	yes	characteristic, complemented
344	C₂×C₄²	C₂³	1	1	yes	characteristic, complemented
345	C₂×C₄²	C₂³	1	1	yes	characteristic, complemented
346	C₂×C₄²	C₂³	1	1	yes	characteristic, complemented
347	C₂×C₄²	C₂³	1	1	yes	characteristic, complemented
348	C₂×C₄²	C₂³	1	1	yes	characteristic, complemented
349	C₂×C₄²	C₂³	1	1	yes	characteristic, complemented
350	#95	C₂³	1	1	yes	characteristic, complemented
351	#95	C₂³	1	1	yes	characteristic, complemented
352	#95	C₂³	1	1	yes	characteristic, complemented
353	#95	C₂³	1	1	yes	characteristic, complemented
354	#95	C₂³	1	1	yes	characteristic, complemented
355	#95	C₂³	1	1	yes	characteristic, complemented
356	#95	C₂³	1	1	yes	characteristic, complemented
357	#95	C₂³	1	1	yes	characteristic, complemented
358	#95	C₂³	1	1	yes	characteristic, complemented
359	#95	C₂³	1	1	yes	characteristic, complemented
360	#95	C₂³	1	1	yes	characteristic, complemented
361	#95	C₂³	1	1	yes	characteristic, complemented
362	#95	C₂³	1	1	yes	characteristic, complemented
363	#95	C₂³	1	1	yes	characteristic, complemented
364	#95	C₂³	1	1	yes	characteristic, complemented
365	#95	C₂³	1	1	yes	characteristic, complemented
366	#95	C₂³	1	1	yes	characteristic, complemented
367	#95	C₂³	1	1	yes	characteristic, complemented
368	#95	C₂³	1	1	yes	characteristic, complemented
369	#95	C₂³	1	1	yes	characteristic, complemented
370	#95	C₂³	1	1	yes	characteristic, complemented
371	#95	C₂³	1	1	yes	characteristic, complemented
372	#95	C₂³	1	1	yes	characteristic, complemented
373	#95	C₂³	1	1	yes	characteristic, complemented
374	#95	C₂³	1	1	yes	characteristic, complemented
375	#95	C₂³	1	1	yes	characteristic, complemented
376	#95	C₂³	1	1	yes	characteristic, complemented
377	#95	C₂³	1	1	yes	characteristic, complemented
378	C₂⁴	—	2	2	no	—
379	C₂⁴	—	2	2	no	—
380	C₂⁴	—	2	2	no	—
381	C₂⁴	—	2	2	no	—
382	C₂⁴	—	2	2	no	—
383	C₂⁴	—	2	2	no	—
384	C₂⁴	—	2	2	no	—
385	C₂⁴	—	2	2	no	—
386	C₂⁴	—	2	2	no	—
387	C₂⁴	—	2	2	no	—
388	C₂⁴	—	2	2	no	—
389	C₂⁴	—	2	2	no	—
390	C₂⁴	—	2	2	no	—
391	C₂⁴	—	2	2	no	—
392	C₂⁴	—	2	2	no	—
393	C₂⁴	—	2	2	no	—
394	C₂⁴	—	2	2	no	—
395	C₂⁴	—	2	2	no	—
396	C₂⁴	—	2	2	no	—
397	C₂⁴	—	2	2	no	—
398	C₂⁴	—	2	2	no	—
399	C₂⁴	—	2	2	no	—
400	C₂⁴	—	2	2	no	—
401	C₂⁴	—	2	2	no	—
402	C₂⁴	—	2	2	no	—
403	C₂⁴	—	2	2	no	—
404	C₂⁴	—	2	2	no	—
405	C₂⁴	—	4	1	no	—
406	C₂⁴	—	4	1	no	—
407	C₂⁴	—	4	1	no	—
408	C₂⁴	—	4	1	no	—
409	C₂⁴	—	4	1	no	—
410	C₂⁴	—	4	1	no	—
411	C₂⁴	—	4	1	no	—
412	C₂⁴	—	4	1	no	—
413	C₂⁴	—	4	1	no	—
414	C₂⁴	—	4	1	no	—
415	C₂⁴	—	4	1	no	—
416	C₂⁴	—	4	1	no	—
417	C₂⁴	—	4	1	no	—
418	C₂⁴	—	4	1	no	—
419	C₂⁴	—	4	1	no	—
420	C₂⁴	—	4	1	no	—
421	C₂⁴	—	4	1	no	—
422	C₂⁴	—	4	1	no	—
423	C₂⁴	—	4	1	no	—
424	C₂⁴	—	4	1	no	—
425	C₂⁴	—	4	16	no	—
426	C₂⁴	—	4	16	no	—
427	C₂⁴	—	4	16	no	—
428	C₂⁴	—	4	16	no	—
429	C₂⁴	—	4	16	no	—
430	C₂⁴	—	4	16	no	—
431	C₂⁴	—	4	16	no	—
432	C₂⁴	#41	1	4	yes	—
433	C₂⁴	#41	1	4	yes	—
434	C₂⁴	C₂⁴	1	1	yes	characteristic
435	C₂⁴	C₂⁴	1	1	yes	characteristic
436	C₂⁴	C₂⁴	1	1	yes	characteristic
437	C₂⁴	C₂⁴	1	1	yes	characteristic
438	C₂⁴	C₂⁴	1	1	yes	characteristic
439	C₂⁴	C₂⁴	1	1	yes	characteristic
440	C₂⁴	C₂⁴	1	1	yes	characteristic
441	C₂⁴	C₂⁴	1	1	yes	characteristic
442	C₂×Q₈	—	4	1	no	—
443	C₂×Q₈	—	4	1	no	—
444	C₂×Q₈	—	4	1	no	—
445	C₂×D₄	—	2	2	no	—
446	C₂×D₄	—	2	2	no	—
447	C₂×D₄	—	2	2	no	—
448	C₂×D₄	—	2	2	no	—
449	C₂×D₄	—	2	2	no	—
450	C₂×D₄	—	2	2	no	—
451	C₂×D₄	—	2	2	no	—
452	C₂×D₄	—	2	2	no	—
453	C₂×D₄	—	2	2	no	—
454	C₂×D₄	—	2	2	no	—
455	C₂×D₄	—	2	2	no	—
456	C₂×D₄	—	4	1	no	—
457	C₂×D₄	—	4	1	no	—
458	C₂×D₄	—	4	1	no	—
459	C₂×D₄	—	4	1	no	—
460	C₂×D₄	—	4	1	no	—
461	C₂×D₄	—	4	1	no	—
462	C₂×D₄	—	4	1	no	—
463	C₂×D₄	—	4	1	no	—
464	C₂×D₄	—	4	1	no	—
465	C₂×D₄	—	4	1	no	—
466	C₂²×C₄	—	2	2	no	—
467	C₂²×C₄	—	2	2	no	—
468	C₂²×C₄	—	2	2	no	—
469	C₂²×C₄	—	2	2	no	—
470	C₂²×C₄	—	2	2	no	—
471	C₂²×C₄	—	2	2	no	—
472	C₂²×C₄	—	2	2	no	—
473	C₂²×C₄	—	2	2	no	—
474	C₂²×C₄	—	2	2	no	—
475	C₂²×C₄	—	2	2	no	—
476	C₂²×C₄	—	4	1	no	—
477	C₂²×C₄	—	4	1	no	—
478	C₂²×C₄	—	4	1	no	—
479	C₂²×C₄	—	4	1	no	—
480	C₂²×C₄	—	4	1	no	—
481	C₂²×C₄	—	4	1	no	—
482	C₂²×C₄	—	4	1	no	—
483	C₂²×C₄	—	4	1	no	—
484	C₂²×C₄	—	4	1	no	—
485	C₂²×C₄	—	4	1	no	—
486	C₂²×C₄	—	4	1	no	—
487	C₂²×C₄	—	4	1	no	—
488	C₂²×C₄	—	4	1	no	—
489	C₂²×C₄	—	4	1	no	—
490	C₂²×C₄	—	4	1	no	—
491	C₂²×C₄	—	4	1	no	—
492	C₂²×C₄	—	4	1	no	—
493	C₂²×C₄	C₂⁴	1	1	yes	characteristic
494	C₂²×C₄	C₂⁴	1	1	yes	characteristic
495	C₂²×C₄	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄	C₂⁴	1	1	yes	characteristic
497	C₂²×C₄	C₂⁴	1	1	yes	characteristic
498	C₂²×C₄	C₂⁴	1	1	yes	characteristic
499	C₂²×C₄	C₂⁴	1	1	yes	characteristic
500	C₂²×C₄	C₂⁴	1	1	yes	characteristic
501	C₂²×C₄	C₂⁴	1	1	yes	characteristic
502	C₂²×C₄	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄	C₂⁴	1	1	yes	characteristic
508	C₂²×C₄	C₂⁴	1	1	yes	characteristic
509	C₂²×C₄	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄	C₂⁴	1	1	yes	characteristic
511	C₂²×C₄	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄	C₂⁴	1	1	yes	characteristic
516	C₄⋊C₄	—	4	1	no	—
517	C₄⋊C₄	—	4	1	no	—
518	C₄⋊C₄	—	4	1	no	—
519	C₄⋊C₄	—	4	1	no	—
520	C₄⋊C₄	—	4	1	no	—
521	C₄⋊C₄	—	4	1	no	—
522	C₄⋊C₄	—	4	1	no	—
523	C₄⋊C₄	—	4	1	no	—
524	C₄⋊C₄	—	4	1	no	—
525	C₄⋊C₄	—	4	1	no	—
526	C₄⋊C₄	—	4	1	no	—
527	C₄⋊C₄	—	4	1	no	—
528	C₄⋊C₄	—	4	1	no	—
529	C₄⋊C₄	—	4	1	no	—
530	C₄⋊C₄	—	4	1	no	—
531	C₄⋊C₄	—	4	1	no	—
532	C₄⋊C₄	—	4	1	no	—
533	C₄⋊C₄	—	4	1	no	—
534	C₄⋊C₄	—	4	1	no	—
535	C₄⋊C₄	—	4	1	no	—
536	C₂²⋊C₄	—	2	2	no	—
537	C₂²⋊C₄	—	2	2	no	—
538	C₂²⋊C₄	—	2	2	no	—
539	C₂²⋊C₄	—	2	2	no	—
540	C₂²⋊C₄	—	2	2	no	—
541	C₂²⋊C₄	—	2	2	no	—
542	C₂²⋊C₄	—	2	2	no	—
543	C₂²⋊C₄	—	2	2	no	—
544	C₂²⋊C₄	—	2	2	no	—
545	C₂²⋊C₄	—	2	2	no	—
546	C₂²⋊C₄	—	2	2	no	—
547	C₂²⋊C₄	—	2	2	no	—
548	C₂²⋊C₄	—	2	2	no	—
549	C₂²⋊C₄	—	2	2	no	—
550	C₂²⋊C₄	—	2	2	no	—
551	C₂²⋊C₄	—	2	2	no	—
552	C₂²⋊C₄	—	2	2	no	—
553	C₂²⋊C₄	—	2	2	no	—
554	C₂²⋊C₄	—	2	2	no	—
555	C₂²⋊C₄	—	2	2	no	—
556	C₂²⋊C₄	—	2	2	no	—
557	C₂²⋊C₄	—	2	2	no	—
558	C₂²⋊C₄	—	2	2	no	—
559	C₂²⋊C₄	—	2	2	no	—
560	C₂²⋊C₄	—	2	2	no	—
561	C₂²⋊C₄	—	2	2	no	—
562	C₂²⋊C₄	—	2	2	no	—
563	C₂²⋊C₄	—	2	2	no	—
564	C₂²⋊C₄	—	2	2	no	—
565	C₂²⋊C₄	—	2	2	no	—
566	C₂²⋊C₄	—	2	2	no	—
567	C₂²⋊C₄	—	2	2	no	—
568	C₂²⋊C₄	—	2	2	no	—
569	C₂²⋊C₄	—	4	1	no	—
570	C₂²⋊C₄	—	4	1	no	—
571	C₂²⋊C₄	—	4	1	no	—
572	C₂²⋊C₄	—	4	1	no	—
573	C₂²⋊C₄	—	4	1	no	—
574	C₂²⋊C₄	—	4	1	no	—
575	C₂²⋊C₄	—	4	1	no	—
576	C₂²⋊C₄	—	4	1	no	—
577	C₂²⋊C₄	—	4	1	no	—
578	C₂²⋊C₄	—	4	1	no	—
579	C₂²⋊C₄	—	4	1	no	—
580	C₂²⋊C₄	—	4	1	no	—
581	C₂²⋊C₄	—	4	1	no	—
582	C₂²⋊C₄	—	4	1	no	—
583	C₂²⋊C₄	—	4	1	no	—
584	C₂²⋊C₄	—	4	1	no	—
585	C₂²⋊C₄	—	4	1	no	—
586	C₂²⋊C₄	—	4	1	no	—
587	C₂²⋊C₄	—	4	1	no	—
588	C₂²⋊C₄	—	4	1	no	—
589	C₂²⋊C₄	—	4	1	no	—
590	C₂²⋊C₄	—	4	1	no	—
591	C₂²⋊C₄	—	4	1	no	—
592	C₂²⋊C₄	—	4	1	no	—
593	C₂²⋊C₄	—	4	1	no	—
594	C₂²⋊C₄	—	4	1	no	—
595	C₂²⋊C₄	—	4	1	no	—
596	C₂²⋊C₄	—	4	1	no	—
597	C₂²⋊C₄	—	4	1	no	—
598	C₂²⋊C₄	—	4	1	no	—
599	C₂²⋊C₄	—	4	1	no	—
600	C₂²⋊C₄	—	4	1	no	—
601	C₂²⋊C₄	—	4	1	no	—
602	C₂²⋊C₄	—	4	1	no	—
603	C₂²⋊C₄	—	4	1	no	—
604	C₂²⋊C₄	—	4	1	no	—
605	C₂²⋊C₄	—	4	1	no	—
606	C₂²⋊C₄	—	4	1	no	—
607	C₂²⋊C₄	—	4	1	no	—
608	C₂²⋊C₄	—	4	1	no	—
609	C₂²⋊C₄	—	4	1	no	—
610	C₂²⋊C₄	—	4	1	no	—
611	C₂²⋊C₄	—	4	1	no	—
612	C₄²	—	4	1	no	—
613	C₄²	—	4	1	no	—
614	C₄²	—	4	1	no	—
615	C₄²	—	4	1	no	—
616	C₄²	—	4	1	no	—
617	C₄²	—	4	1	no	—
618	C₄²	—	4	1	no	—
619	C₂³	—	2	1	no	—
620	C₂³	—	2	1	no	—
621	C₂³	—	2	1	no	—
622	C₂³	—	2	1	no	—
623	C₂³	—	2	1	no	—
624	C₂³	—	2	1	no	—
625	C₂³	—	2	1	no	—
626	C₂³	—	2	1	no	—
627	C₂³	—	2	8	no	—
628	C₂³	—	2	8	no	—
629	C₂³	—	2	8	no	—
630	C₂³	—	2	8	no	—
631	C₂³	—	2	8	no	—
632	C₂³	—	2	8	no	—
633	C₂³	—	2	1	no	—
634	C₂³	—	2	1	no	—
635	C₂³	—	2	1	no	—
636	C₂³	—	2	1	no	—
637	C₂³	—	2	1	no	—
638	C₂³	—	2	1	no	—
639	C₂³	—	2	1	no	—
640	C₂³	—	2	1	no	—
641	C₂³	—	2	1	no	—
642	C₂³	—	2	1	no	—
643	C₂³	—	2	1	no	—
644	C₂³	—	2	1	no	—
645	C₂³	—	2	1	no	—
646	C₂³	—	2	1	no	—
647	C₂³	—	2	1	no	—
648	C₂³	—	2	1	no	—
649	C₂³	—	2	1	no	—
650	C₂³	—	2	1	no	—
651	C₂³	—	2	1	no	—
652	C₂³	—	2	1	no	—
653	C₂³	—	2	1	no	—
654	C₂³	—	2	1	no	—
655	C₂³	—	2	1	no	—
656	C₂³	—	2	1	no	—
657	C₂³	—	2	1	no	—
658	C₂³	—	2	1	no	—
659	C₂³	—	2	1	no	—
660	C₂³	—	2	1	no	—
661	C₂³	—	2	1	no	—
662	C₂³	—	2	1	no	—
663	C₂³	—	2	1	no	—
664	C₂³	—	2	1	no	—
665	C₂³	—	2	1	no	—
666	C₂³	—	2	1	no	—
667	C₂³	—	2	1	no	—
668	C₂³	—	2	1	no	—
669	C₂³	—	2	1	no	—
670	C₂³	—	4	4	no	—
671	C₂³	—	4	4	no	—
672	C₂³	—	4	4	no	—
673	C₂³	—	4	4	no	—
674	C₂³	—	4	4	no	—
675	C₂³	—	4	4	no	—
676	C₂³	—	4	4	no	—
677	C₂³	—	4	4	no	—
678	C₂³	—	4	4	no	—
679	C₂³	—	4	4	no	—
680	C₂³	—	4	4	no	—
681	C₂³	—	4	4	no	—
682	C₂³	—	4	4	no	—
683	C₂³	—	4	4	no	—
684	C₂³	—	4	4	no	—
685	C₂³	—	4	4	no	—
686	C₂³	—	4	4	no	—
687	C₂³	—	4	4	no	—
688	C₂³	—	4	4	no	—
689	C₂³	—	4	4	no	—
690	C₂³	—	4	4	no	—
691	C₂³	—	4	4	no	—
692	C₂³	—	4	4	no	—
693	C₂³	—	4	4	no	—
694	C₂³	—	4	4	no	—
695	C₂³	—	4	4	no	—
696	C₂³	—	4	4	no	—
697	C₂³	—	4	4	no	—
698	C₂³	—	4	4	no	—
699	C₂³	—	4	4	no	—
700	C₂³	—	4	4	no	—
701	C₂³	—	4	4	no	—
702	C₂³	—	4	4	no	—
703	C₂³	—	4	4	no	—
704	C₂³	—	4	4	no	—
705	C₂³	—	4	4	no	—
706	C₂³	—	4	4	no	—
707	C₂³	—	4	4	no	—
708	C₂³	—	4	128	no	—
709	C₂³	—	4	4	no	—
710	C₂³	—	4	4	no	—
711	C₂³	—	4	4	no	—
712	C₂³	—	4	4	no	—
713	C₂³	—	4	4	no	—
714	C₂³	C₂×#41	1	2	yes	—
715	C₂³	C₂×#41	1	2	yes	—
716	C₂³	C₂×#41	1	2	yes	—
717	C₂³	C₂×#41	1	2	yes	—
718	C₂³	C₂×#41	1	2	yes	—
719	C₂³	C₂×#41	1	2	yes	—
720	C₂³	H(5,𝔽₂)	1	2	yes	—
721	C₂³	H(5,𝔽₂)	1	2	yes	—
722	C₂³	H(5,𝔽₂)	1	2	yes	—
723	C₂³	H(5,𝔽₂)	1	2	yes	—
724	C₂³	H(5,𝔽₂)	1	2	yes	—
725	C₂³	C₂⁵	1	1	yes	characteristic
726	Q₈	—	8	2	no	—
727	D₄	—	4	4	no	—
728	D₄	—	4	4	no	—
729	D₄	—	8	2	no	—
730	D₄	—	8	2	no	—
731	D₄	—	8	2	no	—
732	D₄	—	8	2	no	—
733	D₄	—	8	2	no	—
734	C₂×C₄	—	2	1	no	—
735	C₂×C₄	—	2	1	no	—
736	C₂×C₄	—	2	1	no	—
737	C₂×C₄	—	2	1	no	—
738	C₂×C₄	—	2	1	no	—
739	C₂×C₄	—	2	1	no	—
740	C₂×C₄	—	2	1	no	—
741	C₂×C₄	—	2	1	no	—
742	C₂×C₄	—	2	1	no	—
743	C₂×C₄	—	2	1	no	—
744	C₂×C₄	—	2	1	no	—
745	C₂×C₄	—	2	1	no	—
746	C₂×C₄	—	2	1	no	—
747	C₂×C₄	—	2	1	no	—
748	C₂×C₄	—	2	1	no	—
749	C₂×C₄	—	2	1	no	—
750	C₂×C₄	—	2	1	no	—
751	C₂×C₄	—	2	1	no	—
752	C₂×C₄	—	2	1	no	—
753	C₂×C₄	—	2	1	no	—
754	C₂×C₄	—	2	1	no	—
755	C₂×C₄	—	2	1	no	—
756	C₂×C₄	—	2	1	no	—
757	C₂×C₄	—	2	1	no	—
758	C₂×C₄	—	2	1	no	—
759	C₂×C₄	—	2	1	no	—
760	C₂×C₄	—	2	1	no	—
761	C₂×C₄	—	2	1	no	—
762	C₂×C₄	—	2	1	no	—
763	C₂×C₄	—	2	1	no	—
764	C₂×C₄	—	2	1	no	—
765	C₂×C₄	—	2	1	no	—
766	C₂×C₄	—	2	1	no	—
767	C₂×C₄	—	2	1	no	—
768	C₂×C₄	—	2	1	no	—
769	C₂×C₄	—	2	1	no	—
770	C₂×C₄	—	2	1	no	—
771	C₂×C₄	—	2	1	no	—
772	C₂×C₄	—	2	1	no	—
773	C₂×C₄	—	2	1	no	—
774	C₂×C₄	—	2	1	no	—
775	C₂×C₄	—	2	1	no	—
776	C₂×C₄	—	2	1	no	—
777	C₂×C₄	—	2	1	no	—
778	C₂×C₄	—	2	1	no	—
779	C₂×C₄	—	2	1	no	—
780	C₂×C₄	—	2	1	no	—
781	C₂×C₄	—	2	1	no	—
782	C₂×C₄	—	2	1	no	—
783	C₂×C₄	—	2	1	no	—
784	C₂×C₄	—	2	1	no	—
785	C₂×C₄	—	2	1	no	—
786	C₂×C₄	—	2	1	no	—
787	C₂×C₄	—	2	1	no	—
788	C₂×C₄	—	2	1	no	—
789	C₂×C₄	—	2	1	no	—
790	C₂×C₄	—	2	1	no	—
791	C₂×C₄	—	2	1	no	—
792	C₂×C₄	—	2	1	no	—
793	C₂×C₄	—	2	1	no	—
794	C₂×C₄	—	2	1	no	—
795	C₂×C₄	—	2	1	no	—
796	C₂×C₄	—	2	1	no	—
797	C₂×C₄	—	2	1	no	—
798	C₂×C₄	—	2	1	no	—
799	C₂×C₄	—	2	1	no	—
800	C₂×C₄	—	2	1	no	—
801	C₂×C₄	—	2	1	no	—
802	C₂×C₄	—	2	1	no	—
803	C₂×C₄	—	4	4	no	—
804	C₂×C₄	—	8	2	no	—
805	C₂×C₄	—	8	2	no	—
806	C₂×C₄	—	8	2	no	—
807	C₂×C₄	—	8	2	no	—
808	C₂×C₄	—	8	2	no	—
809	C₂×C₄	—	8	2	no	—
810	C₂×C₄	—	8	2	no	—
811	C₂×C₄	—	8	2	no	—
812	C₂²	—	2	2	no	—
813	C₂²	—	2	2	no	—
814	C₂²	—	2	2	no	—
815	C₂²	—	2	2	no	—
816	C₂²	—	2	2	no	—
817	C₂²	—	2	2	no	—
818	C₂²	—	2	2	no	—
819	C₂²	—	2	2	no	—
820	C₂²	—	2	2	no	—
821	C₂²	—	2	2	no	—
822	C₂²	—	2	2	no	—
823	C₂²	—	2	2	no	—
824	C₂²	—	2	2	no	—
825	C₂²	—	2	2	no	—
826	C₂²	—	2	2	no	—
827	C₂²	—	2	2	no	—
828	C₂²	—	2	2	no	—
829	C₂²	—	2	2	no	—
830	C₂²	—	2	2	no	—
831	C₂²	—	2	2	no	—
832	C₂²	—	2	2	no	—
833	C₂²	—	2	2	no	—
834	C₂²	—	2	2	no	—
835	C₂²	—	2	2	no	—
836	C₂²	—	2	2	no	—
837	C₂²	—	2	2	no	—
838	C₂²	—	2	2	no	—
839	C₂²	—	4	16	no	—
840	C₂²	—	4	16	no	—
841	C₂²	—	4	16	no	—
842	C₂²	—	4	16	no	—
843	C₂²	—	4	16	no	—
844	C₂²	—	4	16	no	—
845	C₂²	—	4	16	no	—
846	C₂²	—	4	1	no	—
847	C₂²	—	4	1	no	—
848	C₂²	—	4	1	no	—
849	C₂²	—	4	1	no	—
850	C₂²	—	4	1	no	—
851	C₂²	—	4	1	no	—
852	C₂²	—	4	1	no	—
853	C₂²	—	4	1	no	—
854	C₂²	—	4	1	no	—
855	C₂²	—	4	1	no	—
856	C₂²	—	4	1	no	—
857	C₂²	—	4	1	no	—
858	C₂²	—	4	1	no	—
859	C₂²	—	4	1	no	—
860	C₂²	—	4	1	no	—
861	C₂²	—	4	1	no	—
862	C₂²	—	4	1	no	—
863	C₂²	—	4	1	no	—
864	C₂²	—	4	1	no	—
865	C₂²	—	4	1	no	—
866	C₂²	—	4	1	no	—
867	C₂²	—	4	1	no	—
868	C₂²	—	4	1	no	—
869	C₂²	—	4	1	no	—
870	C₂²	—	4	1	no	—
871	C₂²	—	4	1	no	—
872	C₂²	—	4	1	no	—
873	C₂²	#538	1	4	yes	—
874	C₂²	#551	1	4	yes	—
875	C₂²	C₂²×#41	1	1	yes	characteristic
876	C₂²	C₂²×#41	1	1	yes	characteristic
877	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
878	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
879	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
880	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
881	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
882	C₄	—	4	1	no	—
883	C₄	—	4	1	no	—
884	C₄	—	4	1	no	—
885	C₄	—	4	1	no	—
886	C₄	—	4	1	no	—
887	C₄	—	4	1	no	—
888	C₄	—	4	1	no	—
889	C₄	—	4	1	no	—
890	C₄	—	4	1	no	—
891	C₄	—	4	1	no	—
892	C₄	—	4	1	no	—
893	C₄	—	4	1	no	—
894	C₄	—	4	1	no	—
895	C₄	—	4	1	no	—
896	C₄	—	4	1	no	—
897	C₄	—	4	1	no	—
898	C₄	—	4	1	no	—
899	C₄	—	4	1	no	—
900	C₄	—	4	1	no	—
901	C₄	—	4	1	no	—
902	C₄	—	4	1	no	—
903	C₄	—	4	1	no	—
904	C₄	—	4	1	no	—
905	C₂	—	2	4	no	—
906	C₂	—	2	4	no	—
907	C₂	—	4	2	no	—
908	C₂	—	4	2	no	—
909	C₂	—	4	2	no	—
910	C₂	—	4	2	no	—
911	C₂	—	4	2	no	—
912	C₂	—	8	1	no	—
913	C₂	C₂×#538	1	1	yes	characteristic
914	C₂	C₂×#551	1	1	yes	characteristic
915	C₂	#3490	1	1	yes	characteristic
916	C₂	#3490	1	1	yes	characteristic
917	C₂	#3490	1	1	yes	characteristic
918	C₂	#3532	1	1	yes	characteristic
919	C₂	#3532	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁵
prime radical	#2846	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #2736	C₂	semidirect
3. #2735	C₂	semidirect
4. #2735	C₂	semidirect
5. #2735	C₂	semidirect
6. #2697	C₂	semidirect
7. #2685	C₂	semidirect
8. #2685	C₂	semidirect
9. #2684	C₂	semidirect
10. #2626	C₂	semidirect
11. #2622	C₂	semidirect
12. #2561	C₂	semidirect
13. #2534	C₂	semidirect
14. #2482	C₂	semidirect
15. #2480	C₂	semidirect
16. #2480	C₂	semidirect
17. #2480	C₂	semidirect
18. #2480	C₂	semidirect
19. #2472	C₂	semidirect
20. #2472	C₂	semidirect
21. #2437	C₂	semidirect
22. #2418	C₂	semidirect
23. #2418	C₂	semidirect
24. #2412	C₂	semidirect
25. #2411	C₂	semidirect
26. #2358	C₂	semidirect
27. #2342	C₂	semidirect
28. #2321	C₂	semidirect
29. #2312	C₂	semidirect
30. C₂×#379	C₂	semidirect
31. C₂×#379	C₂	semidirect
33. C₂×#126	C₂²	semidirect
34. C₂×#126	C₂²	semidirect
35. C₂×#124	C₂²	semidirect
36. C₂×#123	C₂²	semidirect
37. C₂×#123	C₂²	semidirect
38. C₂×C₂²⋊Q₈	C₂²	semidirect
39. C₂×C₂²⋊Q₈	C₂²	semidirect
47. C₂×C₄×D₄	C₂²	semidirect
48. C₂×C₄×D₄	C₂²	semidirect
49. C₂×#117	C₂²	semidirect
62. #399	C₂²	semidirect
63. #399	C₂²	semidirect
64. #399	C₂²	semidirect
65. #399	C₂²	semidirect
66. #397	C₂²	semidirect
67. #397	C₂²	semidirect
68. #397	C₂²	semidirect
69. #397	C₂²	semidirect
70. #397	C₂²	semidirect
71. #397	C₂²	semidirect
72. #397	C₂²	semidirect
73. #397	C₂²	semidirect
74. #397	C₂²	semidirect
75. #397	C₂²	semidirect
76. #397	C₂²	semidirect
77. #397	C₂²	semidirect
78. #397	C₂²	semidirect
79. #397	C₂²	semidirect
80. #396	C₂²	semidirect
81. #396	C₂²	semidirect
82. #396	C₂²	semidirect
83. #396	C₂²	semidirect
84. #396	C₂²	semidirect
85. #396	C₂²	semidirect
86. #396	C₂²	semidirect
87. #396	C₂²	semidirect
88. #394	C₂²	semidirect
89. #394	C₂²	semidirect
90. #394	C₂²	semidirect
91. #394	C₂²	semidirect
92. #394	C₂²	semidirect
93. #394	C₂²	semidirect
94. #394	C₂²	semidirect
95. #394	C₂²	semidirect
96. #394	C₂²	semidirect
97. #394	C₂²	semidirect
98. #393	C₂²	semidirect
99. #393	C₂²	semidirect
100. #393	C₂²	semidirect
101. #393	C₂²	semidirect
102. #390	C₂²	semidirect
103. #390	C₂²	semidirect
104. #390	C₂²	semidirect
105. #390	C₂²	semidirect
106. #388	C₂²	semidirect
107. #388	C₂²	semidirect
108. #388	C₂²	semidirect
109. #388	C₂²	semidirect
110. #388	C₂²	semidirect
111. #388	C₂²	semidirect
112. #388	C₂²	semidirect
113. #388	C₂²	semidirect
114. #388	C₂²	semidirect
115. #388	C₂²	semidirect
116. #388	C₂²	semidirect
117. #388	C₂²	semidirect
118. #388	C₂²	semidirect
119. #388	C₂²	semidirect
120. #388	C₂²	semidirect
121. #388	C₂²	semidirect
122. #388	C₂²	semidirect
123. #388	C₂²	semidirect
124. #388	C₂²	semidirect
125. #388	C₂²	semidirect
126. #388	C₂²	semidirect
127. #388	C₂²	semidirect
128. #388	C₂²	semidirect
129. #388	C₂²	semidirect
130. #388	C₂²	semidirect
131. #388	C₂²	semidirect
132. #388	C₂²	semidirect
133. #388	C₂²	semidirect
134. #386	C₂²	semidirect
135. #386	C₂²	semidirect
136. #386	C₂²	semidirect
137. #386	C₂²	semidirect
138. #386	C₂²	semidirect
139. #386	C₂²	semidirect
140. #386	C₂²	semidirect
141. #386	C₂²	semidirect
142. #386	C₂²	semidirect
143. #385	C₂²	semidirect
144. #385	C₂²	semidirect
145. #385	C₂²	semidirect
146. #385	C₂²	semidirect
147. #385	C₂²	semidirect
148. #385	C₂²	semidirect
149. #385	C₂²	semidirect
150. #385	C₂²	semidirect
151. #385	C₂²	semidirect
152. #381	C₂²	semidirect
153. #381	C₂²	semidirect
154. #380	C₂²	semidirect
155. #380	C₂²	semidirect
156. #380	C₂²	semidirect
157. #380	C₂²	semidirect
158. #380	C₂²	semidirect
182. C₄×C₂²⋊C₄	C₂²	semidirect
183. C₄×C₂²⋊C₄	C₂²	semidirect
184. C₄×C₂²⋊C₄	C₂²	semidirect
185. C₄×C₂²⋊C₄	C₂²	semidirect
186. C₄×C₂²⋊C₄	C₂²	semidirect
201. C₂²×Q₈	C₂³	semidirect
217. C₂³×C₄	C₂³	semidirect
235. C₂×C₄⋊C₄	C₂³	semidirect
236. C₂×C₄⋊C₄	C₂³	semidirect
237. C₂×C₄⋊C₄	C₂³	semidirect
238. C₂×C₄⋊C₄	C₂³	semidirect
239. C₂×C₄⋊C₄	C₂³	semidirect
240. C₂×C₄⋊C₄	C₂³	semidirect
241. C₂×C₄⋊C₄	C₂³	semidirect
242. C₂×C₄⋊C₄	C₂³	semidirect
243. C₂×C₄⋊C₄	C₂³	semidirect
244. C₂×C₄⋊C₄	C₂³	semidirect
245. C₂×C₄⋊C₄	C₂³	semidirect
246. C₂×C₄⋊C₄	C₂³	semidirect
247. C₂×C₄⋊C₄	C₂³	semidirect
248. C₂×C₄⋊C₄	C₂³	semidirect
249. C₂×C₄⋊C₄	C₂³	semidirect
250. C₂×C₄⋊C₄	C₂³	semidirect
251. C₂×C₄⋊C₄	C₂³	semidirect
252. C₂×C₄⋊C₄	C₂³	semidirect
253. C₂×C₄⋊C₄	C₂³	semidirect
254. C₂×C₄⋊C₄	C₂³	semidirect
336. C₂×C₂²⋊C₄	C₂³	semidirect
337. C₂×C₂²⋊C₄	C₂³	semidirect
338. C₂×C₂²⋊C₄	C₂³	semidirect
339. C₂×C₂²⋊C₄	C₂³	semidirect
340. C₂×C₂²⋊C₄	C₂³	semidirect
341. C₂×C₂²⋊C₄	C₂³	semidirect
342. C₂×C₂²⋊C₄	C₂³	semidirect
343. C₂×C₄²	C₂³	semidirect
344. C₂×C₄²	C₂³	semidirect
345. C₂×C₄²	C₂³	semidirect
346. C₂×C₄²	C₂³	semidirect
347. C₂×C₄²	C₂³	semidirect
348. C₂×C₄²	C₂³	semidirect
349. C₂×C₄²	C₂³	semidirect
350. #95	C₂³	semidirect
351. #95	C₂³	semidirect
352. #95	C₂³	semidirect
353. #95	C₂³	semidirect
354. #95	C₂³	semidirect
355. #95	C₂³	semidirect
356. #95	C₂³	semidirect
357. #95	C₂³	semidirect
358. #95	C₂³	semidirect
359. #95	C₂³	semidirect
360. #95	C₂³	semidirect
361. #95	C₂³	semidirect
362. #95	C₂³	semidirect
363. #95	C₂³	semidirect
364. #95	C₂³	semidirect
365. #95	C₂³	semidirect
366. #95	C₂³	semidirect
367. #95	C₂³	semidirect
368. #95	C₂³	semidirect
369. #95	C₂³	semidirect
370. #95	C₂³	semidirect
371. #95	C₂³	semidirect
372. #95	C₂³	semidirect
373. #95	C₂³	semidirect
374. #95	C₂³	semidirect
375. #95	C₂³	semidirect
376. #95	C₂³	semidirect
377. #95	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#2846	2
#2736	2
#2735	2
#2697	2
#2685	2
#2684	2
#2626	2
#2622	2
#2561	2
#2534	2
#2482	2
#2480	2
#2472	2
#2437	2
#2418	2
#2412	2
#2411	2
#2358	2
#2342	2
#2321	2
#2312	2
C₂×#379	2