Subgroups — #37660

Order 256.

2039 conjugacy classes of subgroups.

The subgroup lattice has 1041 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#538	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#120	C₂	1	1	yes	maximal, characteristic, complemented
3	#2846	C₂	1	1	yes	maximal, characteristic, complemented
4	#2697	C₂	1	1	yes	maximal, characteristic, complemented
5	#2685	C₂	1	1	yes	maximal, characteristic, complemented
6	#2685	C₂	1	1	yes	maximal, characteristic, complemented
7	#2684	C₂	1	1	yes	maximal, characteristic, complemented
8	#2678	C₂	1	1	yes	maximal, characteristic, complemented
9	#2678	C₂	1	1	yes	maximal, characteristic, complemented
10	#2670	C₂	1	1	yes	maximal, characteristic, complemented
11	#2668	C₂	1	1	yes	maximal, characteristic, complemented
12	#2622	C₂	1	1	yes	maximal, characteristic, complemented
13	#2617	C₂	1	1	yes	maximal, characteristic, complemented
14	#2480	C₂	1	1	yes	maximal, characteristic, complemented
15	#2480	C₂	1	1	yes	maximal, characteristic, complemented
16	#2472	C₂	1	1	yes	maximal, characteristic, complemented
17	#2472	C₂	1	1	yes	maximal, characteristic, complemented
18	#2437	C₂	1	1	yes	maximal, characteristic, complemented
19	#2435	C₂	1	1	yes	maximal, characteristic, complemented
20	#2424	C₂	1	1	yes	maximal, characteristic, complemented
21	#2424	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	#2410	C₂	1	1	yes	maximal, characteristic, complemented
25	#2410	C₂	1	1	yes	maximal, characteristic, complemented
26	#2408	C₂	1	1	yes	maximal, characteristic, complemented
27	#2405	C₂	1	1	yes	maximal, characteristic, complemented
28	#2358	C₂	1	1	yes	maximal, characteristic, complemented
29	D₄×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
30	#2321	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	C₂³×D₄	C₂²	1	1	yes	characteristic
34	C₂³×D₄	C₂²	1	1	yes	characteristic
35	C₂³×D₄	C₂²	1	1	yes	characteristic
36	#538	—	2	8	no	—
37	C₂×#126	C₂²	1	1	yes	characteristic, complemented
38	C₂×#126	C₂²	1	1	yes	characteristic, complemented
39	C₂×#124	C₂²	1	1	yes	characteristic, complemented
40	C₂×#124	C₂²	1	1	yes	characteristic, complemented
41	C₂×#124	C₂²	1	1	yes	characteristic, complemented
42	C₂×#123	C₂²	1	1	yes	characteristic, complemented
43	C₂×#123	C₂²	1	1	yes	characteristic, complemented
44	C₂×#123	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
47	C₂×#121	C₂²	1	1	yes	characteristic, complemented
48	C₂×#121	C₂²	1	1	yes	characteristic, complemented
49	C₂×#121	C₂²	1	1	yes	characteristic, complemented
50	C₂×#121	C₂²	1	1	yes	characteristic, complemented
51	C₂×#121	C₂²	1	1	yes	characteristic, complemented
52	C₂×#121	C₂²	1	1	yes	characteristic, complemented
53	C₂×#120	—	2	8	no	—
54	C₂×#120	C₂²	1	1	yes	characteristic
55	C₂×#120	C₂²	1	1	yes	characteristic
56	C₂×#120	C₂²	1	1	yes	characteristic
57	C₂×#120	C₂²	1	1	yes	characteristic
58	C₂×#120	C₂²	1	1	yes	characteristic
59	C₂×#120	C₂²	1	1	yes	characteristic
60	C₂×#120	C₂²	1	1	yes	characteristic
61	C₂×#120	C₂²	1	1	yes	characteristic
62	C₂×#120	C₂²	1	1	yes	characteristic
63	C₂×#120	C₂²	1	1	yes	characteristic
64	C₂×#120	C₂²	1	1	yes	characteristic
65	C₂×#120	C₂²	1	1	yes	characteristic, complemented
66	C₂×#120	C₂²	1	1	yes	characteristic, complemented
67	C₂×#120	C₂²	1	1	yes	characteristic, complemented
68	C₂×#120	C₂²	1	1	yes	characteristic, complemented
69	C₂×#120	C₂²	1	1	yes	characteristic, complemented
70	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
71	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
72	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
73	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
74	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
75	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
76	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
77	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
78	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
79	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
80	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
81	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
82	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
83	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
84	#399	C₂²	1	1	yes	characteristic, complemented
85	#399	C₂²	1	1	yes	characteristic, complemented
86	#397	C₂²	1	1	yes	characteristic, complemented
87	#397	C₂²	1	1	yes	characteristic, complemented
88	#397	C₂²	1	1	yes	characteristic, complemented
89	#397	C₂²	1	1	yes	characteristic, complemented
90	#397	C₂²	1	1	yes	characteristic, complemented
91	#397	C₂²	1	1	yes	characteristic, complemented
92	#397	C₂²	1	1	yes	characteristic, complemented
93	#397	C₂²	1	1	yes	characteristic, complemented
94	#396	C₂²	1	1	yes	characteristic, complemented
95	#396	C₂²	1	1	yes	characteristic, complemented
96	#396	C₂²	1	1	yes	characteristic, complemented
97	#396	C₂²	1	1	yes	characteristic, complemented
98	#394	C₂²	1	1	yes	characteristic, complemented
99	#394	C₂²	1	1	yes	characteristic, complemented
100	#394	C₂²	1	1	yes	characteristic, complemented
101	#394	C₂²	1	1	yes	characteristic, complemented
102	#394	C₂²	1	1	yes	characteristic, complemented
103	#394	C₂²	1	1	yes	characteristic, complemented
104	#394	C₂²	1	1	yes	characteristic, complemented
105	#394	C₂²	1	1	yes	characteristic, complemented
106	#394	C₂²	1	1	yes	characteristic, complemented
107	#394	C₂²	1	1	yes	characteristic, complemented
108	#394	C₂²	1	1	yes	characteristic, complemented
109	#394	C₂²	1	1	yes	characteristic, complemented
110	#394	C₂²	1	1	yes	characteristic, complemented
111	#394	C₂²	1	1	yes	characteristic, complemented
112	#394	C₂²	1	1	yes	characteristic, complemented
113	#394	C₂²	1	1	yes	characteristic, complemented
114	#394	C₂²	1	1	yes	characteristic, complemented
115	#394	C₂²	1	1	yes	characteristic, complemented
116	#393	C₂²	1	1	yes	characteristic, complemented
117	#393	C₂²	1	1	yes	characteristic, complemented
118	#392	C₂²	1	1	yes	characteristic, complemented
119	#392	C₂²	1	1	yes	characteristic, complemented
120	#392	C₂²	1	1	yes	characteristic, complemented
121	#392	C₂²	1	1	yes	characteristic, complemented
122	#392	C₂²	1	1	yes	characteristic, complemented
123	#392	C₂²	1	1	yes	characteristic, complemented
124	#390	C₂²	1	1	yes	characteristic, complemented
125	#390	C₂²	1	1	yes	characteristic, complemented
126	#390	C₂²	1	1	yes	characteristic, complemented
127	#390	C₂²	1	1	yes	characteristic, complemented
128	#390	C₂²	1	1	yes	characteristic, complemented
129	#390	C₂²	1	1	yes	characteristic, complemented
130	#390	C₂²	1	1	yes	characteristic, complemented
131	#390	C₂²	1	1	yes	characteristic, complemented
132	#388	C₂²	1	1	yes	characteristic, complemented
133	#388	C₂²	1	1	yes	characteristic, complemented
134	#388	C₂²	1	1	yes	characteristic, complemented
135	#388	C₂²	1	1	yes	characteristic, complemented
136	#388	C₂²	1	1	yes	characteristic, complemented
137	#388	C₂²	1	1	yes	characteristic, complemented
138	#388	C₂²	1	1	yes	characteristic, complemented
139	#388	C₂²	1	1	yes	characteristic, complemented
140	#388	C₂²	1	1	yes	characteristic, complemented
141	#388	C₂²	1	1	yes	characteristic, complemented
142	#388	C₂²	1	1	yes	characteristic, complemented
143	#388	C₂²	1	1	yes	characteristic, complemented
144	#386	C₂²	1	1	yes	characteristic, complemented
145	#386	C₂²	1	1	yes	characteristic, complemented
146	#386	C₂²	1	1	yes	characteristic, complemented
147	#386	C₂²	1	1	yes	characteristic, complemented
148	#386	C₂²	1	1	yes	characteristic, complemented
149	#386	C₂²	1	1	yes	characteristic, complemented
150	#386	C₂²	1	1	yes	characteristic, complemented
151	#386	C₂²	1	1	yes	characteristic, complemented
152	#386	C₂²	1	1	yes	characteristic, complemented
153	#386	C₂²	1	1	yes	characteristic, complemented
154	#386	C₂²	1	1	yes	characteristic, complemented
155	#386	C₂²	1	1	yes	characteristic, complemented
156	#386	C₂²	1	1	yes	characteristic, complemented
157	#386	C₂²	1	1	yes	characteristic, complemented
158	#386	C₂²	1	1	yes	characteristic, complemented
159	#385	C₂²	1	1	yes	characteristic, complemented
160	#385	C₂²	1	1	yes	characteristic, complemented
161	#385	C₂²	1	1	yes	characteristic, complemented
162	#385	C₂²	1	1	yes	characteristic, complemented
163	#385	C₂²	1	1	yes	characteristic, complemented
164	#385	C₂²	1	1	yes	characteristic, complemented
165	#385	C₂²	1	1	yes	characteristic, complemented
166	#380	C₂²	1	1	yes	characteristic, complemented
167	#380	C₂²	1	1	yes	characteristic, complemented
168	#380	C₂²	1	1	yes	characteristic, complemented
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, complemented
177	#379	C₂²	1	1	yes	characteristic, complemented
178	#379	C₂²	1	1	yes	characteristic, complemented
179	#379	C₂²	1	1	yes	characteristic, complemented
180	#379	C₂²	1	1	yes	characteristic, complemented
181	#379	C₂²	1	1	yes	characteristic, complemented
182	#379	C₂²	1	1	yes	characteristic, complemented
183	#379	C₂²	1	1	yes	characteristic, complemented
184	#379	C₂²	1	1	yes	characteristic, complemented
185	#379	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
187	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
188	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
189	C₂⁵	—	2	4	no	—
190	C₂⁵	—	2	4	no	—
191	C₂⁵	—	4	2	no	—
192	C₂⁵	—	4	2	no	—
193	C₂⁵	—	4	2	no	—
194	C₂⁵	—	4	2	no	—
195	C₂⁵	—	4	2	no	—
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	C₂⁵	C₂³	1	1	yes	characteristic
202	C₂⁵	C₂³	1	1	yes	characteristic
203	C₂⁵	C₂³	1	1	yes	characteristic
204	C₂²×Q₈	C₂³	1	1	yes	characteristic, complemented
205	C₂²×D₄	—	2	4	no	—
206	C₂²×D₄	—	2	4	no	—
207	C₂²×D₄	—	2	4	no	—
208	C₂²×D₄	—	2	4	no	—
209	C₂²×D₄	—	4	2	no	—
210	C₂²×D₄	—	4	2	no	—
211	C₂²×D₄	—	4	2	no	—
212	C₂²×D₄	—	4	2	no	—
213	C₂²×D₄	—	4	2	no	—
214	C₂²×D₄	C₂³	1	1	yes	characteristic
215	C₂²×D₄	C₂³	1	1	yes	characteristic
216	C₂²×D₄	C₂³	1	1	yes	characteristic
217	C₂²×D₄	C₂³	1	1	yes	characteristic
218	C₂²×D₄	C₂³	1	1	yes	characteristic
219	C₂²×D₄	C₂³	1	1	yes	characteristic
220	C₂²×D₄	C₂³	1	1	yes	characteristic
221	C₂²×D₄	C₂³	1	1	yes	characteristic
222	C₂²×D₄	C₂³	1	1	yes	characteristic
223	C₂²×D₄	C₂³	1	1	yes	characteristic
224	C₂²×D₄	C₂³	1	1	yes	characteristic
225	C₂²×D₄	C₂³	1	1	yes	characteristic
226	C₂²×D₄	C₂³	1	1	yes	characteristic
227	C₂²×D₄	C₂³	1	1	yes	characteristic
228	C₂²×D₄	C₂³	1	1	yes	characteristic
229	C₂²×D₄	C₂³	1	1	yes	characteristic
230	C₂²×D₄	C₂³	1	1	yes	characteristic
231	C₂²×D₄	C₂³	1	1	yes	characteristic
232	C₂²×D₄	C₂³	1	1	yes	characteristic
233	C₂²×D₄	C₂³	1	1	yes	characteristic, complemented
234	C₂²×D₄	C₂³	1	1	yes	characteristic, complemented
235	C₂³×C₄	C₂³	1	1	yes	characteristic
236	C₂³×C₄	C₂³	1	1	yes	characteristic
237	C₂³×C₄	C₂³	1	1	yes	characteristic
238	C₂³×C₄	C₂³	1	1	yes	characteristic
239	C₂³×C₄	C₂³	1	1	yes	characteristic
240	C₂³×C₄	C₂³	1	1	yes	characteristic
241	C₂³×C₄	C₂³	1	1	yes	characteristic
242	C₂³×C₄	C₂³	1	1	yes	characteristic, complemented
243	C₂³×C₄	C₂³	1	1	yes	characteristic, complemented
244	C₂³×C₄	C₂³	1	1	yes	characteristic, complemented
245	#126	—	2	4	no	—
246	#126	—	2	4	no	—
247	#124	—	2	4	no	—
248	#124	—	2	4	no	—
249	#124	—	4	2	no	—
250	#123	—	2	4	no	—
251	#123	—	2	4	no	—
252	#123	—	4	2	no	—
253	C₂²⋊Q₈	—	2	4	no	—
254	C₂²⋊Q₈	—	4	2	no	—
255	#121	—	2	4	no	—
256	#121	—	2	4	no	—
257	#121	—	2	4	no	—
258	#121	—	4	2	no	—
259	#121	—	4	2	no	—
260	#121	—	4	2	no	—
261	#120	—	2	4	no	—
262	#120	—	2	4	no	—
263	#120	—	2	4	no	—
264	#120	—	2	4	no	—
265	#120	—	2	4	no	—
266	#120	—	2	4	no	—
267	#120	—	2	4	no	—
268	#120	—	2	4	no	—
269	#120	—	2	4	no	—
270	#120	—	4	2	no	—
271	#120	—	4	2	no	—
272	#120	—	4	2	no	—
273	#120	—	4	2	no	—
274	#120	—	4	2	no	—
275	#120	—	4	2	no	—
276	#120	D₄	1	8	yes	complemented
277	C₄×D₄	—	2	4	no	—
278	C₄×D₄	—	2	4	no	—
279	C₄×D₄	—	4	2	no	—
280	C₄×D₄	—	4	2	no	—
281	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
282	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
283	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
284	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
285	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
286	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
287	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
288	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
289	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
290	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
291	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
292	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
293	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
294	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
295	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
296	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
297	C₂×C₂²⋊C₄	—	2	4	no	—
298	C₂×C₂²⋊C₄	—	2	4	no	—
299	C₂×C₂²⋊C₄	—	2	4	no	—
300	C₂×C₂²⋊C₄	—	2	4	no	—
301	C₂×C₂²⋊C₄	—	4	2	no	—
302	C₂×C₂²⋊C₄	—	4	2	no	—
303	C₂×C₂²⋊C₄	—	4	2	no	—
304	C₂×C₂²⋊C₄	—	4	2	no	—
305	C₂×C₂²⋊C₄	—	4	2	no	—
306	C₂×C₂²⋊C₄	—	4	2	no	—
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
337	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
356	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
358	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
359	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
360	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
361	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
362	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
363	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
364	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
365	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
366	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
367	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
368	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
369	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
370	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
371	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
372	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
373	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
374	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
375	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
376	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
377	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
378	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
379	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
380	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
381	C₂×C₄²	C₂³	1	1	yes	characteristic, complemented
382	C₂×C₄²	C₂³	1	1	yes	characteristic, complemented
383	C₂×C₄²	C₂³	1	1	yes	characteristic, complemented
384	C₂×C₄²	C₂³	1	1	yes	characteristic, complemented
385	C₂×C₄²	C₂³	1	1	yes	characteristic, complemented
386	#95	C₂³	1	1	yes	characteristic, complemented
387	#95	C₂³	1	1	yes	characteristic, complemented
388	#95	C₂³	1	1	yes	characteristic, complemented
389	#95	C₂³	1	1	yes	characteristic, complemented
390	#95	C₂³	1	1	yes	characteristic, complemented
391	#95	C₂³	1	1	yes	characteristic, complemented
392	#95	C₂³	1	1	yes	characteristic, complemented
393	#95	C₂³	1	1	yes	characteristic, complemented
394	#95	C₂³	1	1	yes	characteristic, complemented
395	#95	C₂³	1	1	yes	characteristic, complemented
396	#95	C₂³	1	1	yes	characteristic, complemented
397	#95	C₂³	1	1	yes	characteristic, complemented
398	#95	C₂³	1	1	yes	characteristic, complemented
399	#95	C₂³	1	1	yes	characteristic, complemented
400	#95	C₂³	1	1	yes	characteristic, complemented
401	#95	C₂³	1	1	yes	characteristic, complemented
402	#95	C₂³	1	1	yes	characteristic, complemented
403	#95	C₂³	1	1	yes	characteristic, complemented
404	#95	C₂³	1	1	yes	characteristic, complemented
405	#95	C₂³	1	1	yes	characteristic, complemented
406	C₂⁴	—	2	2	no	—
407	C₂⁴	—	2	2	no	—
408	C₂⁴	—	2	2	no	—
409	C₂⁴	—	2	2	no	—
410	C₂⁴	—	2	2	no	—
411	C₂⁴	—	2	2	no	—
412	C₂⁴	—	2	2	no	—
413	C₂⁴	—	2	2	no	—
414	C₂⁴	—	2	2	no	—
415	C₂⁴	—	2	2	no	—
416	C₂⁴	—	2	2	no	—
417	C₂⁴	—	2	2	no	—
418	C₂⁴	—	2	2	no	—
419	C₂⁴	—	2	2	no	—
420	C₂⁴	—	2	2	no	—
421	C₂⁴	—	2	2	no	—
422	C₂⁴	—	2	2	no	—
423	C₂⁴	—	2	2	no	—
424	C₂⁴	—	2	2	no	—
425	C₂⁴	—	2	2	no	—
426	C₂⁴	—	2	2	no	—
427	C₂⁴	—	2	2	no	—
428	C₂⁴	—	2	2	no	—
429	C₂⁴	—	2	2	no	—
430	C₂⁴	—	2	2	no	—
431	C₂⁴	—	2	2	no	—
432	C₂⁴	—	2	2	no	—
433	C₂⁴	—	2	2	no	—
434	C₂⁴	—	2	2	no	—
435	C₂⁴	—	2	2	no	—
436	C₂⁴	—	2	2	no	—
437	C₂⁴	—	4	1	no	—
438	C₂⁴	—	4	1	no	—
439	C₂⁴	—	4	1	no	—
440	C₂⁴	—	4	1	no	—
441	C₂⁴	—	4	1	no	—
442	C₂⁴	—	4	1	no	—
443	C₂⁴	—	4	1	no	—
444	C₂⁴	—	4	1	no	—
445	C₂⁴	—	4	1	no	—
446	C₂⁴	—	4	1	no	—
447	C₂⁴	—	4	1	no	—
448	C₂⁴	—	4	1	no	—
449	C₂⁴	—	4	1	no	—
450	C₂⁴	—	4	1	no	—
451	C₂⁴	—	4	1	no	—
452	C₂⁴	—	4	1	no	—
453	C₂⁴	—	4	1	no	—
454	C₂⁴	—	4	1	no	—
455	C₂⁴	—	4	1	no	—
456	C₂⁴	—	4	1	no	—
457	C₂⁴	—	4	1	no	—
458	C₂⁴	—	4	1	no	—
459	C₂⁴	—	4	1	no	—
460	C₂⁴	—	4	16	no	—
461	C₂⁴	—	4	16	no	—
462	C₂⁴	—	4	16	no	—
463	C₂⁴	—	4	16	no	—
464	C₂⁴	—	4	16	no	—
465	C₂⁴	—	4	16	no	—
466	C₂⁴	—	4	16	no	—
467	C₂⁴	C₂×D₄	1	4	yes	—
468	C₂⁴	#41	1	4	yes	—
469	C₂⁴	C₂⁴	1	1	yes	characteristic
470	C₂⁴	C₂⁴	1	1	yes	characteristic
471	C₂⁴	C₂⁴	1	1	yes	characteristic
472	C₂⁴	C₂⁴	1	1	yes	characteristic
473	C₂⁴	C₂⁴	1	1	yes	characteristic
474	C₂⁴	C₂⁴	1	1	yes	characteristic
475	C₂⁴	C₂⁴	1	1	yes	characteristic
476	C₂⁴	C₂⁴	1	1	yes	characteristic
477	C₂⁴	C₂⁴	1	1	yes	characteristic
478	C₂⁴	C₂⁴	1	1	yes	characteristic
479	C₂×Q₈	—	2	2	no	—
480	C₂×Q₈	—	4	1	no	—
481	C₂×Q₈	—	4	1	no	—
482	C₂×D₄	—	2	2	no	—
483	C₂×D₄	—	2	2	no	—
484	C₂×D₄	—	2	2	no	—
485	C₂×D₄	—	2	2	no	—
486	C₂×D₄	—	2	2	no	—
487	C₂×D₄	—	2	2	no	—
488	C₂×D₄	—	2	2	no	—
489	C₂×D₄	—	2	2	no	—
490	C₂×D₄	—	2	2	no	—
491	C₂×D₄	—	2	2	no	—
492	C₂×D₄	—	2	2	no	—
493	C₂×D₄	—	2	2	no	—
494	C₂×D₄	—	2	2	no	—
495	C₂×D₄	—	2	2	no	—
496	C₂×D₄	—	2	2	no	—
497	C₂×D₄	—	2	2	no	—
498	C₂×D₄	—	2	2	no	—
499	C₂×D₄	—	2	2	no	—
500	C₂×D₄	—	2	2	no	—
501	C₂×D₄	—	2	2	no	—
502	C₂×D₄	—	2	2	no	—
503	C₂×D₄	—	2	2	no	—
504	C₂×D₄	—	2	2	no	—
505	C₂×D₄	—	2	2	no	—
506	C₂×D₄	—	2	2	no	—
507	C₂×D₄	—	2	2	no	—
508	C₂×D₄	—	2	2	no	—
509	C₂×D₄	—	2	2	no	—
510	C₂×D₄	—	2	2	no	—
511	C₂×D₄	—	2	2	no	—
512	C₂×D₄	—	2	2	no	—
513	C₂×D₄	—	4	1	no	—
514	C₂×D₄	—	4	1	no	—
515	C₂×D₄	—	4	1	no	—
516	C₂×D₄	—	4	1	no	—
517	C₂×D₄	—	4	1	no	—
518	C₂×D₄	—	4	1	no	—
519	C₂×D₄	—	4	1	no	—
520	C₂×D₄	—	4	1	no	—
521	C₂×D₄	—	4	1	no	—
522	C₂×D₄	—	4	1	no	—
523	C₂×D₄	—	4	1	no	—
524	C₂×D₄	—	4	1	no	—
525	C₂×D₄	—	4	1	no	—
526	C₂×D₄	—	4	1	no	—
527	C₂×D₄	—	4	1	no	—
528	C₂×D₄	—	4	1	no	—
529	C₂×D₄	—	4	1	no	—
530	C₂×D₄	—	4	1	no	—
531	C₂×D₄	—	4	1	no	—
532	C₂×D₄	—	4	1	no	—
533	C₂×D₄	—	4	1	no	—
534	C₂×D₄	—	4	1	no	—
535	C₂×D₄	—	4	1	no	—
536	C₂×D₄	—	4	1	no	—
537	C₂×D₄	—	4	1	no	—
538	C₂×D₄	—	4	1	no	—
539	C₂×D₄	—	4	1	no	—
540	C₂×D₄	—	4	1	no	—
541	C₂×D₄	—	4	1	no	—
542	C₂×D₄	—	4	16	no	—
543	C₂×D₄	—	4	16	no	—
544	C₂×D₄	—	4	16	no	—
545	C₂×D₄	C₂×D₄	1	4	yes	—
546	C₂×D₄	C₂×D₄	1	4	yes	—
547	C₂×D₄	C₂×D₄	1	4	yes	—
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	—	4	1	no	—
561	C₂²×C₄	—	4	1	no	—
562	C₂²×C₄	—	4	1	no	—
563	C₂²×C₄	—	4	1	no	—
564	C₂²×C₄	—	4	1	no	—
565	C₂²×C₄	—	4	1	no	—
566	C₂²×C₄	—	4	1	no	—
567	C₂²×C₄	—	4	1	no	—
568	C₂²×C₄	—	4	1	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	C₂⁴	1	1	yes	characteristic
579	C₂²×C₄	C₂⁴	1	1	yes	characteristic
580	C₂²×C₄	C₂⁴	1	1	yes	characteristic
581	C₂²×C₄	C₂⁴	1	1	yes	characteristic
582	C₂²×C₄	C₂⁴	1	1	yes	characteristic
583	C₂²×C₄	C₂⁴	1	1	yes	characteristic
584	C₂²×C₄	C₂⁴	1	1	yes	characteristic
585	C₂²×C₄	C₂⁴	1	1	yes	characteristic
586	C₂²×C₄	C₂⁴	1	1	yes	characteristic
587	C₂²×C₄	C₂⁴	1	1	yes	characteristic
588	C₂²×C₄	C₂⁴	1	1	yes	characteristic
589	C₂²×C₄	C₂⁴	1	1	yes	characteristic
590	C₂²×C₄	C₂⁴	1	1	yes	characteristic
591	C₂²×C₄	C₂⁴	1	1	yes	characteristic
592	C₂²×C₄	C₂⁴	1	1	yes	characteristic
593	C₂²×C₄	C₂⁴	1	1	yes	characteristic
594	C₂²×C₄	C₂⁴	1	1	yes	characteristic
595	C₂²×C₄	C₂⁴	1	1	yes	characteristic
596	C₂²×C₄	C₂⁴	1	1	yes	characteristic
597	C₂²×C₄	C₂⁴	1	1	yes	characteristic
598	C₂²×C₄	C₂⁴	1	1	yes	characteristic
599	C₄⋊C₄	—	2	2	no	—
600	C₄⋊C₄	—	2	2	no	—
601	C₄⋊C₄	—	2	2	no	—
602	C₄⋊C₄	—	2	2	no	—
603	C₄⋊C₄	—	2	2	no	—
604	C₄⋊C₄	—	2	2	no	—
605	C₄⋊C₄	—	4	1	no	—
606	C₄⋊C₄	—	4	1	no	—
607	C₄⋊C₄	—	4	1	no	—
608	C₄⋊C₄	—	4	1	no	—
609	C₄⋊C₄	—	4	1	no	—
610	C₄⋊C₄	—	4	1	no	—
611	C₄⋊C₄	—	4	1	no	—
612	C₄⋊C₄	—	4	1	no	—
613	C₄⋊C₄	—	4	1	no	—
614	C₄⋊C₄	—	4	1	no	—
615	C₂²⋊C₄	—	2	2	no	—
616	C₂²⋊C₄	—	2	2	no	—
617	C₂²⋊C₄	—	2	2	no	—
618	C₂²⋊C₄	—	2	2	no	—
619	C₂²⋊C₄	—	2	2	no	—
620	C₂²⋊C₄	—	2	2	no	—
621	C₂²⋊C₄	—	2	2	no	—
622	C₂²⋊C₄	—	2	2	no	—
623	C₂²⋊C₄	—	2	2	no	—
624	C₂²⋊C₄	—	2	2	no	—
625	C₂²⋊C₄	—	2	2	no	—
626	C₂²⋊C₄	—	2	2	no	—
627	C₂²⋊C₄	—	2	2	no	—
628	C₂²⋊C₄	—	2	2	no	—
629	C₂²⋊C₄	—	2	2	no	—
630	C₂²⋊C₄	—	2	2	no	—
631	C₂²⋊C₄	—	2	2	no	—
632	C₂²⋊C₄	—	2	2	no	—
633	C₂²⋊C₄	—	2	2	no	—
634	C₂²⋊C₄	—	2	2	no	—
635	C₂²⋊C₄	—	2	2	no	—
636	C₂²⋊C₄	—	2	2	no	—
637	C₂²⋊C₄	—	2	2	no	—
638	C₂²⋊C₄	—	2	2	no	—
639	C₂²⋊C₄	—	2	2	no	—
640	C₂²⋊C₄	—	2	2	no	—
641	C₂²⋊C₄	—	2	2	no	—
642	C₂²⋊C₄	—	2	2	no	—
643	C₂²⋊C₄	—	2	2	no	—
644	C₂²⋊C₄	—	2	2	no	—
645	C₂²⋊C₄	—	2	2	no	—
646	C₂²⋊C₄	—	2	2	no	—
647	C₂²⋊C₄	—	2	2	no	—
648	C₂²⋊C₄	—	2	2	no	—
649	C₂²⋊C₄	—	2	2	no	—
650	C₂²⋊C₄	—	2	2	no	—
651	C₂²⋊C₄	—	4	1	no	—
652	C₂²⋊C₄	—	4	1	no	—
653	C₂²⋊C₄	—	4	1	no	—
654	C₂²⋊C₄	—	4	1	no	—
655	C₂²⋊C₄	—	4	1	no	—
656	C₂²⋊C₄	—	4	1	no	—
657	C₂²⋊C₄	—	4	1	no	—
658	C₂²⋊C₄	—	4	1	no	—
659	C₂²⋊C₄	—	4	1	no	—
660	C₂²⋊C₄	—	4	1	no	—
661	C₂²⋊C₄	—	4	1	no	—
662	C₂²⋊C₄	—	4	1	no	—
663	C₂²⋊C₄	—	4	1	no	—
664	C₂²⋊C₄	—	4	1	no	—
665	C₂²⋊C₄	—	4	1	no	—
666	C₂²⋊C₄	—	4	1	no	—
667	C₂²⋊C₄	—	4	1	no	—
668	C₂²⋊C₄	—	4	1	no	—
669	C₂²⋊C₄	—	4	1	no	—
670	C₂²⋊C₄	—	4	1	no	—
671	C₂²⋊C₄	—	4	1	no	—
672	C₂²⋊C₄	—	4	1	no	—
673	C₂²⋊C₄	—	4	1	no	—
674	C₂²⋊C₄	—	4	1	no	—
675	C₂²⋊C₄	—	4	1	no	—
676	C₂²⋊C₄	—	4	1	no	—
677	C₂²⋊C₄	—	4	1	no	—
678	C₂²⋊C₄	—	4	1	no	—
679	C₂²⋊C₄	—	4	1	no	—
680	C₂²⋊C₄	—	4	1	no	—
681	C₂²⋊C₄	—	4	1	no	—
682	C₂²⋊C₄	—	4	1	no	—
683	C₂²⋊C₄	—	4	1	no	—
684	C₂²⋊C₄	—	4	1	no	—
685	C₂²⋊C₄	—	4	1	no	—
686	C₂²⋊C₄	C₂×D₄	1	4	yes	—
687	C₂²⋊C₄	C₂×D₄	1	4	yes	—
688	C₂²⋊C₄	C₂×D₄	1	4	yes	—
689	C₄²	—	2	2	no	—
690	C₄²	—	2	2	no	—
691	C₄²	—	4	1	no	—
692	C₄²	—	4	1	no	—
693	C₄²	—	4	1	no	—
694	C₂³	—	2	1	no	—
695	C₂³	—	2	1	no	—
696	C₂³	—	2	1	no	—
697	C₂³	—	2	1	no	—
698	C₂³	—	2	1	no	—
699	C₂³	—	2	1	no	—
700	C₂³	—	2	1	no	—
701	C₂³	—	2	1	no	—
702	C₂³	—	2	8	no	—
703	C₂³	—	2	8	no	—
704	C₂³	—	2	8	no	—
705	C₂³	—	2	8	no	—
706	C₂³	—	2	8	no	—
707	C₂³	—	2	8	no	—
708	C₂³	—	2	1	no	—
709	C₂³	—	2	1	no	—
710	C₂³	—	2	1	no	—
711	C₂³	—	2	1	no	—
712	C₂³	—	2	1	no	—
713	C₂³	—	2	1	no	—
714	C₂³	—	2	1	no	—
715	C₂³	—	2	1	no	—
716	C₂³	—	2	1	no	—
717	C₂³	—	2	1	no	—
718	C₂³	—	2	1	no	—
719	C₂³	—	2	1	no	—
720	C₂³	—	2	1	no	—
721	C₂³	—	2	1	no	—
722	C₂³	—	2	1	no	—
723	C₂³	—	2	1	no	—
724	C₂³	—	2	1	no	—
725	C₂³	—	2	1	no	—
726	C₂³	—	2	1	no	—
727	C₂³	—	2	1	no	—
728	C₂³	—	2	1	no	—
729	C₂³	—	2	1	no	—
730	C₂³	—	2	1	no	—
731	C₂³	—	2	1	no	—
732	C₂³	—	2	1	no	—
733	C₂³	—	2	1	no	—
734	C₂³	—	2	1	no	—
735	C₂³	—	2	1	no	—
736	C₂³	—	2	1	no	—
737	C₂³	—	2	1	no	—
738	C₂³	—	2	1	no	—
739	C₂³	—	2	1	no	—
740	C₂³	—	2	1	no	—
741	C₂³	—	2	1	no	—
742	C₂³	—	2	1	no	—
743	C₂³	—	2	1	no	—
744	C₂³	—	2	1	no	—
745	C₂³	—	2	1	no	—
746	C₂³	—	2	1	no	—
747	C₂³	—	2	1	no	—
748	C₂³	—	2	1	no	—
749	C₂³	—	2	1	no	—
750	C₂³	—	2	1	no	—
751	C₂³	—	2	1	no	—
752	C₂³	—	2	1	no	—
753	C₂³	—	2	1	no	—
754	C₂³	—	2	1	no	—
755	C₂³	—	2	1	no	—
756	C₂³	—	2	1	no	—
757	C₂³	—	2	1	no	—
758	C₂³	—	4	4	no	—
759	C₂³	—	4	4	no	—
760	C₂³	—	4	4	no	—
761	C₂³	—	4	4	no	—
762	C₂³	—	4	4	no	—
763	C₂³	—	4	4	no	—
764	C₂³	—	4	4	no	—
765	C₂³	—	4	4	no	—
766	C₂³	—	4	4	no	—
767	C₂³	—	4	4	no	—
768	C₂³	—	4	4	no	—
769	C₂³	—	4	4	no	—
770	C₂³	—	4	4	no	—
771	C₂³	—	4	4	no	—
772	C₂³	—	4	4	no	—
773	C₂³	—	4	4	no	—
774	C₂³	—	4	4	no	—
775	C₂³	—	4	4	no	—
776	C₂³	—	4	4	no	—
777	C₂³	—	4	4	no	—
778	C₂³	—	4	4	no	—
779	C₂³	—	4	4	no	—
780	C₂³	—	4	4	no	—
781	C₂³	—	4	4	no	—
782	C₂³	—	4	4	no	—
783	C₂³	—	4	4	no	—
784	C₂³	—	4	4	no	—
785	C₂³	—	4	4	no	—
786	C₂³	—	4	4	no	—
787	C₂³	—	4	4	no	—
788	C₂³	—	4	4	no	—
789	C₂³	—	4	4	no	—
790	C₂³	—	4	4	no	—
791	C₂³	—	4	4	no	—
792	C₂³	—	4	4	no	—
793	C₂³	—	4	4	no	—
794	C₂³	—	4	4	no	—
795	C₂³	—	4	4	no	—
796	C₂³	—	4	4	no	—
797	C₂³	—	4	4	no	—
798	C₂³	—	4	4	no	—
799	C₂³	—	4	128	no	—
800	C₂³	—	4	4	no	—
801	C₂³	—	4	4	no	—
802	C₂³	—	4	4	no	—
803	C₂³	—	4	4	no	—
804	C₂³	—	4	4	no	—
805	C₂³	—	4	4	no	—
806	C₂³	—	8	2	no	—
807	C₂³	—	8	2	no	—
808	C₂³	—	8	2	no	—
809	C₂³	C₂²×D₄	1	2	yes	—
810	C₂³	C₂²×D₄	1	2	yes	—
811	C₂³	C₂²×D₄	1	2	yes	—
812	C₂³	C₂²×D₄	1	2	yes	—
813	C₂³	C₂×#41	1	2	yes	—
814	C₂³	C₂×#41	1	2	yes	—
815	C₂³	C₂×#41	1	2	yes	—
816	C₂³	H(5,𝔽₂)	1	2	yes	—
817	C₂³	H(5,𝔽₂)	1	2	yes	—
818	C₂³	H(5,𝔽₂)	1	2	yes	—
819	C₂³	H(5,𝔽₂)	1	2	yes	—
820	C₂³	H(5,𝔽₂)	1	2	yes	—
821	C₂³	C₂⁵	1	1	yes	characteristic
822	Q₈	—	8	2	no	—
823	D₄	—	2	8	no	—
824	D₄	—	4	4	no	—
825	D₄	—	4	4	no	—
826	D₄	—	4	4	no	—
827	D₄	—	4	4	no	—
828	D₄	—	4	4	no	—
829	D₄	—	4	4	no	—
830	D₄	—	4	4	no	—
831	D₄	—	4	4	no	—
832	D₄	—	4	4	no	—
833	D₄	—	4	4	no	—
834	D₄	—	4	4	no	—
835	D₄	—	4	4	no	—
836	D₄	—	4	4	no	—
837	D₄	—	8	2	no	—
838	D₄	—	8	2	no	—
839	D₄	—	8	2	no	—
840	D₄	—	8	2	no	—
841	D₄	—	8	2	no	—
842	D₄	—	8	2	no	—
843	D₄	—	8	2	no	—
844	C₂×C₄	—	2	1	no	—
845	C₂×C₄	—	2	1	no	—
846	C₂×C₄	—	2	1	no	—
847	C₂×C₄	—	2	1	no	—
848	C₂×C₄	—	2	1	no	—
849	C₂×C₄	—	2	1	no	—
850	C₂×C₄	—	2	1	no	—
851	C₂×C₄	—	2	1	no	—
852	C₂×C₄	—	2	1	no	—
853	C₂×C₄	—	2	1	no	—
854	C₂×C₄	—	2	1	no	—
855	C₂×C₄	—	2	1	no	—
856	C₂×C₄	—	2	1	no	—
857	C₂×C₄	—	2	1	no	—
858	C₂×C₄	—	2	1	no	—
859	C₂×C₄	—	2	1	no	—
860	C₂×C₄	—	2	1	no	—
861	C₂×C₄	—	2	1	no	—
862	C₂×C₄	—	2	1	no	—
863	C₂×C₄	—	2	1	no	—
864	C₂×C₄	—	2	1	no	—
865	C₂×C₄	—	2	1	no	—
866	C₂×C₄	—	2	1	no	—
867	C₂×C₄	—	2	1	no	—
868	C₂×C₄	—	2	1	no	—
869	C₂×C₄	—	2	1	no	—
870	C₂×C₄	—	2	1	no	—
871	C₂×C₄	—	2	1	no	—
872	C₂×C₄	—	2	1	no	—
873	C₂×C₄	—	2	1	no	—
874	C₂×C₄	—	2	1	no	—
875	C₂×C₄	—	2	1	no	—
876	C₂×C₄	—	2	1	no	—
877	C₂×C₄	—	2	1	no	—
878	C₂×C₄	—	2	1	no	—
879	C₂×C₄	—	2	1	no	—
880	C₂×C₄	—	2	1	no	—
881	C₂×C₄	—	2	1	no	—
882	C₂×C₄	—	2	1	no	—
883	C₂×C₄	—	2	1	no	—
884	C₂×C₄	—	2	1	no	—
885	C₂×C₄	—	2	1	no	—
886	C₂×C₄	—	2	1	no	—
887	C₂×C₄	—	2	1	no	—
888	C₂×C₄	—	2	1	no	—
889	C₂×C₄	—	2	1	no	—
890	C₂×C₄	—	2	1	no	—
891	C₂×C₄	—	2	1	no	—
892	C₂×C₄	—	2	1	no	—
893	C₂×C₄	—	2	1	no	—
894	C₂×C₄	—	2	1	no	—
895	C₂×C₄	—	2	1	no	—
896	C₂×C₄	—	2	1	no	—
897	C₂×C₄	—	2	1	no	—
898	C₂×C₄	—	2	1	no	—
899	C₂×C₄	—	2	1	no	—
900	C₂×C₄	—	2	1	no	—
901	C₂×C₄	—	2	1	no	—
902	C₂×C₄	—	2	1	no	—
903	C₂×C₄	—	2	1	no	—
904	C₂×C₄	—	4	4	no	—
905	C₂×C₄	—	4	4	no	—
906	C₂×C₄	—	4	4	no	—
907	C₂×C₄	—	8	2	no	—
908	C₂×C₄	—	8	2	no	—
909	C₂×C₄	—	8	2	no	—
910	C₂×C₄	—	8	2	no	—
911	C₂×C₄	—	8	2	no	—
912	C₂×C₄	—	8	2	no	—
913	C₂×C₄	—	8	2	no	—
914	C₂×C₄	C₂²×D₄	1	2	yes	—
915	C₂×C₄	C₂²×D₄	1	2	yes	—
916	C₂×C₄	C₂²×D₄	1	2	yes	—
917	C₂²	—	2	2	no	—
918	C₂²	—	2	2	no	—
919	C₂²	—	2	2	no	—
920	C₂²	—	2	2	no	—
921	C₂²	—	2	2	no	—
922	C₂²	—	2	2	no	—
923	C₂²	—	2	2	no	—
924	C₂²	—	2	2	no	—
925	C₂²	—	2	2	no	—
926	C₂²	—	2	2	no	—
927	C₂²	—	2	2	no	—
928	C₂²	—	2	2	no	—
929	C₂²	—	2	2	no	—
930	C₂²	—	2	2	no	—
931	C₂²	—	2	2	no	—
932	C₂²	—	2	2	no	—
933	C₂²	—	2	2	no	—
934	C₂²	—	2	2	no	—
935	C₂²	—	2	2	no	—
936	C₂²	—	2	2	no	—
937	C₂²	—	2	2	no	—
938	C₂²	—	2	2	no	—
939	C₂²	—	2	2	no	—
940	C₂²	—	2	2	no	—
941	C₂²	—	2	2	no	—
942	C₂²	—	2	2	no	—
943	C₂²	—	2	2	no	—
944	C₂²	—	2	2	no	—
945	C₂²	—	2	2	no	—
946	C₂²	—	2	2	no	—
947	C₂²	—	4	16	no	—
948	C₂²	—	4	16	no	—
949	C₂²	—	4	16	no	—
950	C₂²	—	4	16	no	—
951	C₂²	—	4	16	no	—
952	C₂²	—	4	16	no	—
953	C₂²	—	4	16	no	—
954	C₂²	—	4	1	no	—
955	C₂²	—	4	1	no	—
956	C₂²	—	4	1	no	—
957	C₂²	—	4	1	no	—
958	C₂²	—	4	1	no	—
959	C₂²	—	4	1	no	—
960	C₂²	—	4	1	no	—
961	C₂²	—	4	1	no	—
962	C₂²	—	4	1	no	—
963	C₂²	—	4	1	no	—
964	C₂²	—	4	1	no	—
965	C₂²	—	4	1	no	—
966	C₂²	—	4	1	no	—
967	C₂²	—	4	1	no	—
968	C₂²	—	4	1	no	—
969	C₂²	—	4	1	no	—
970	C₂²	—	4	1	no	—
971	C₂²	—	4	1	no	—
972	C₂²	—	4	1	no	—
973	C₂²	—	4	1	no	—
974	C₂²	—	4	1	no	—
975	C₂²	—	4	1	no	—
976	C₂²	—	4	1	no	—
977	C₂²	—	4	1	no	—
978	C₂²	—	4	1	no	—
979	C₂²	—	4	1	no	—
980	C₂²	—	4	1	no	—
981	C₂²	—	4	1	no	—
982	C₂²	—	4	1	no	—
983	C₂²	—	4	1	no	—
984	C₂²	—	4	1	no	—
985	C₂²	—	4	1	no	—
986	C₂²	—	4	1	no	—
987	C₂²	—	4	1	no	—
988	C₂²	—	4	1	no	—
989	C₂²	—	4	1	no	—
990	C₂²	—	4	1	no	—
991	C₂²	—	4	1	no	—
992	C₂²	—	8	8	no	—
993	C₂²	#538	1	4	yes	complemented
994	C₂²	#546	1	4	yes	—
995	C₂²	C₂³×D₄	1	1	yes	characteristic
996	C₂²	C₂²×#41	1	1	yes	characteristic
997	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
998	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
999	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1000	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1001	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1002	C₄	—	2	2	no	—
1003	C₄	—	2	2	no	—
1004	C₄	—	2	2	no	—
1005	C₄	—	4	1	no	—
1006	C₄	—	4	1	no	—
1007	C₄	—	4	1	no	—
1008	C₄	—	4	1	no	—
1009	C₄	—	4	1	no	—
1010	C₄	—	4	1	no	—
1011	C₄	—	4	1	no	—
1012	C₄	—	4	1	no	—
1013	C₄	—	4	1	no	—
1014	C₄	—	4	1	no	—
1015	C₄	—	4	1	no	—
1016	C₄	—	4	1	no	—
1017	C₄	—	4	1	no	—
1018	C₄	—	4	1	no	—
1019	C₄	—	4	1	no	—
1020	C₄	—	4	1	no	—
1021	C₄	—	4	1	no	—
1022	C₄	—	4	1	no	—
1023	C₂	—	2	4	no	—
1024	C₂	—	2	4	no	—
1025	C₂	—	4	2	no	—
1026	C₂	—	4	2	no	—
1027	C₂	—	4	2	no	—
1028	C₂	—	4	2	no	—
1029	C₂	—	4	2	no	—
1030	C₂	—	4	2	no	—
1031	C₂	—	8	1	no	—
1032	C₂	—	8	1	no	—
1033	C₂	C₂×#538	1	1	yes	characteristic
1034	C₂	C₂×#546	1	1	yes	characteristic
1035	C₂	#3484	1	1	yes	characteristic
1036	C₂	#3484	1	1	yes	characteristic
1037	C₂	#3490	1	1	yes	characteristic
1038	C₂	#3532	1	1	yes	characteristic
1039	C₂	#3532	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁵
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
1. C₂×#538	C₂	semidirect
2. C₂²×#120	C₂	semidirect
3. #2846	C₂	semidirect
4. #2697	C₂	semidirect
5. #2685	C₂	semidirect
6. #2685	C₂	semidirect
7. #2684	C₂	semidirect
8. #2678	C₂	semidirect
9. #2678	C₂	semidirect
10. #2670	C₂	semidirect
11. #2668	C₂	semidirect
12. #2622	C₂	semidirect
13. #2617	C₂	semidirect
14. #2480	C₂	semidirect
15. #2480	C₂	semidirect
16. #2472	C₂	semidirect
17. #2472	C₂	semidirect
18. #2437	C₂	semidirect
19. #2435	C₂	semidirect
20. #2424	C₂	semidirect
21. #2424	C₂	semidirect
22. #2418	C₂	semidirect
23. #2418	C₂	semidirect
24. #2410	C₂	semidirect
25. #2410	C₂	semidirect
26. #2408	C₂	semidirect
27. #2405	C₂	semidirect
28. #2358	C₂	semidirect
29. D₄×C₂²⋊C₄	C₂	semidirect
30. #2321	C₂	semidirect
31. C₂×#379	C₂	semidirect
37. C₂×#126	C₂²	semidirect
38. C₂×#126	C₂²	semidirect
39. C₂×#124	C₂²	semidirect
40. C₂×#124	C₂²	semidirect
41. C₂×#124	C₂²	semidirect
42. C₂×#123	C₂²	semidirect
43. C₂×#123	C₂²	semidirect
44. C₂×#123	C₂²	semidirect
45. C₂×C₂²⋊Q₈	C₂²	semidirect
46. C₂×C₂²⋊Q₈	C₂²	semidirect
47. C₂×#121	C₂²	semidirect
48. C₂×#121	C₂²	semidirect
49. C₂×#121	C₂²	semidirect
50. C₂×#121	C₂²	semidirect
51. C₂×#121	C₂²	semidirect
52. C₂×#121	C₂²	semidirect
65. C₂×#120	C₂²	semidirect
66. C₂×#120	C₂²	semidirect
67. C₂×#120	C₂²	semidirect
68. C₂×#120	C₂²	semidirect
69. C₂×#120	C₂²	semidirect
70. C₂×C₄×D₄	C₂²	semidirect
71. C₂×C₄×D₄	C₂²	semidirect
72. C₂×C₄×D₄	C₂²	semidirect
73. C₂×C₄×D₄	C₂²	semidirect
79. C₂²×C₂²⋊C₄	C₂²	semidirect
80. C₂²×C₂²⋊C₄	C₂²	semidirect
81. C₂²×C₂²⋊C₄	C₂²	semidirect
82. C₂²×C₂²⋊C₄	C₂²	semidirect
83. C₂²×C₂²⋊C₄	C₂²	semidirect
84. #399	C₂²	semidirect
85. #399	C₂²	semidirect
86. #397	C₂²	semidirect
87. #397	C₂²	semidirect
88. #397	C₂²	semidirect
89. #397	C₂²	semidirect
90. #397	C₂²	semidirect
91. #397	C₂²	semidirect
92. #397	C₂²	semidirect
93. #397	C₂²	semidirect
94. #396	C₂²	semidirect
95. #396	C₂²	semidirect
96. #396	C₂²	semidirect
97. #396	C₂²	semidirect
98. #394	C₂²	semidirect
99. #394	C₂²	semidirect
100. #394	C₂²	semidirect
101. #394	C₂²	semidirect
102. #394	C₂²	semidirect
103. #394	C₂²	semidirect
104. #394	C₂²	semidirect
105. #394	C₂²	semidirect
106. #394	C₂²	semidirect
107. #394	C₂²	semidirect
108. #394	C₂²	semidirect
109. #394	C₂²	semidirect
110. #394	C₂²	semidirect
111. #394	C₂²	semidirect
112. #394	C₂²	semidirect
113. #394	C₂²	semidirect
114. #394	C₂²	semidirect
115. #394	C₂²	semidirect
116. #393	C₂²	semidirect
117. #393	C₂²	semidirect
118. #392	C₂²	semidirect
119. #392	C₂²	semidirect
120. #392	C₂²	semidirect
121. #392	C₂²	semidirect
122. #392	C₂²	semidirect
123. #392	C₂²	semidirect
124. #390	C₂²	semidirect
125. #390	C₂²	semidirect
126. #390	C₂²	semidirect
127. #390	C₂²	semidirect
128. #390	C₂²	semidirect
129. #390	C₂²	semidirect
130. #390	C₂²	semidirect
131. #390	C₂²	semidirect
132. #388	C₂²	semidirect
133. #388	C₂²	semidirect
134. #388	C₂²	semidirect
135. #388	C₂²	semidirect
136. #388	C₂²	semidirect
137. #388	C₂²	semidirect
138. #388	C₂²	semidirect
139. #388	C₂²	semidirect
140. #388	C₂²	semidirect
141. #388	C₂²	semidirect
142. #388	C₂²	semidirect
143. #388	C₂²	semidirect
144. #386	C₂²	semidirect
145. #386	C₂²	semidirect
146. #386	C₂²	semidirect
147. #386	C₂²	semidirect
148. #386	C₂²	semidirect
149. #386	C₂²	semidirect
150. #386	C₂²	semidirect
151. #386	C₂²	semidirect
152. #386	C₂²	semidirect
153. #386	C₂²	semidirect
154. #386	C₂²	semidirect
155. #386	C₂²	semidirect
156. #386	C₂²	semidirect
157. #386	C₂²	semidirect
158. #386	C₂²	semidirect
159. #385	C₂²	semidirect
160. #385	C₂²	semidirect
161. #385	C₂²	semidirect
162. #385	C₂²	semidirect
163. #385	C₂²	semidirect
164. #385	C₂²	semidirect
165. #385	C₂²	semidirect
166. #380	C₂²	semidirect
167. #380	C₂²	semidirect
168. #380	C₂²	semidirect
176. #379	C₂²	semidirect
177. #379	C₂²	semidirect
178. #379	C₂²	semidirect
179. #379	C₂²	semidirect
180. #379	C₂²	semidirect
181. #379	C₂²	semidirect
182. #379	C₂²	semidirect
183. #379	C₂²	semidirect
184. #379	C₂²	semidirect
185. #379	C₂²	semidirect
186. C₄×C₂²⋊C₄	C₂²	semidirect
187. C₄×C₂²⋊C₄	C₂²	semidirect
188. C₄×C₂²⋊C₄	C₂²	semidirect
204. C₂²×Q₈	C₂³	semidirect
233. C₂²×D₄	C₂³	semidirect
234. C₂²×D₄	C₂³	semidirect
242. C₂³×C₄	C₂³	semidirect
243. C₂³×C₄	C₂³	semidirect
244. C₂³×C₄	C₂³	semidirect
276. #120	D₄	semidirect
281. C₂×C₄⋊C₄	C₂³	semidirect
282. C₂×C₄⋊C₄	C₂³	semidirect
283. C₂×C₄⋊C₄	C₂³	semidirect
284. C₂×C₄⋊C₄	C₂³	semidirect
285. C₂×C₄⋊C₄	C₂³	semidirect
286. C₂×C₄⋊C₄	C₂³	semidirect
287. C₂×C₄⋊C₄	C₂³	semidirect
288. C₂×C₄⋊C₄	C₂³	semidirect
289. C₂×C₄⋊C₄	C₂³	semidirect
290. C₂×C₄⋊C₄	C₂³	semidirect
291. C₂×C₄⋊C₄	C₂³	semidirect
292. C₂×C₄⋊C₄	C₂³	semidirect
293. C₂×C₄⋊C₄	C₂³	semidirect
294. C₂×C₄⋊C₄	C₂³	semidirect
295. C₂×C₄⋊C₄	C₂³	semidirect
296. C₂×C₄⋊C₄	C₂³	semidirect
364. C₂×C₂²⋊C₄	C₂³	semidirect
365. C₂×C₂²⋊C₄	C₂³	semidirect
366. C₂×C₂²⋊C₄	C₂³	semidirect
367. C₂×C₂²⋊C₄	C₂³	semidirect
368. C₂×C₂²⋊C₄	C₂³	semidirect
369. C₂×C₂²⋊C₄	C₂³	semidirect
370. C₂×C₂²⋊C₄	C₂³	semidirect
371. C₂×C₂²⋊C₄	C₂³	semidirect
372. C₂×C₂²⋊C₄	C₂³	semidirect
373. C₂×C₂²⋊C₄	C₂³	semidirect
374. C₂×C₂²⋊C₄	C₂³	semidirect
375. C₂×C₂²⋊C₄	C₂³	semidirect
376. C₂×C₂²⋊C₄	C₂³	semidirect
377. C₂×C₂²⋊C₄	C₂³	semidirect
378. C₂×C₂²⋊C₄	C₂³	semidirect
379. C₂×C₂²⋊C₄	C₂³	semidirect
380. C₂×C₂²⋊C₄	C₂³	semidirect
381. C₂×C₄²	C₂³	semidirect
382. C₂×C₄²	C₂³	semidirect
383. C₂×C₄²	C₂³	semidirect
384. C₂×C₄²	C₂³	semidirect
385. C₂×C₄²	C₂³	semidirect
386. #95	C₂³	semidirect
387. #95	C₂³	semidirect
388. #95	C₂³	semidirect
389. #95	C₂³	semidirect
390. #95	C₂³	semidirect
391. #95	C₂³	semidirect
392. #95	C₂³	semidirect
393. #95	C₂³	semidirect
394. #95	C₂³	semidirect
395. #95	C₂³	semidirect
396. #95	C₂³	semidirect
397. #95	C₂³	semidirect
398. #95	C₂³	semidirect
399. #95	C₂³	semidirect
400. #95	C₂³	semidirect
401. #95	C₂³	semidirect
402. #95	C₂³	semidirect
403. #95	C₂³	semidirect
404. #95	C₂³	semidirect
405. #95	C₂³	semidirect
993. C₂²	#538	semidirect

Maximal subgroups

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

subgroup	index
C₂×#538	2
C₂²×#120	2
#2846	2
#2697	2
#2685	2
#2684	2
#2678	2
#2670	2
#2668	2
#2622	2
#2617	2
#2480	2
#2472	2
#2437	2
#2435	2
#2424	2
#2418	2
#2410	2
#2408	2
#2405	2
#2358	2
D₄×C₂²⋊C₄	2
#2321	2
C₂×#379	2