Subgroups — #43930

Order 256.

1313 conjugacy classes of subgroups.

The subgroup lattice has 878 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#552	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#534	C₂	1	1	yes	maximal, characteristic
3	#2711	C₂	1	1	yes	maximal, characteristic, complemented
4	#2711	C₂	1	1	yes	maximal, characteristic, complemented
5	#2707	C₂	1	1	yes	maximal, characteristic, complemented
6	#2694	C₂	1	1	yes	maximal, characteristic, complemented
7	#2691	C₂	1	1	yes	maximal, characteristic, complemented
8	#2685	C₂	1	1	yes	maximal, characteristic, complemented
9	#2685	C₂	1	1	yes	maximal, characteristic, complemented
10	#2681	C₂	1	1	yes	maximal, characteristic, complemented
11	#2559	C₂	1	1	yes	maximal, characteristic, complemented
12	#2558	C₂	1	1	yes	maximal, characteristic, complemented
13	#2534	C₂	1	1	yes	maximal, characteristic, complemented
14	#2498	C₂	1	1	yes	maximal, characteristic, complemented
15	#2490	C₂	1	1	yes	maximal, characteristic, complemented
16	#2476	C₂	1	1	yes	maximal, characteristic, complemented
17	#2472	C₂	1	1	yes	maximal, characteristic, complemented
18	#2472	C₂	1	1	yes	maximal, characteristic, complemented
19	#2458	C₂	1	1	yes	maximal, characteristic, complemented
20	#2437	C₂	1	1	yes	maximal, characteristic, complemented
21	#2426	C₂	1	1	yes	maximal, characteristic, complemented
22	#2418	C₂	1	1	yes	maximal, characteristic, complemented
23	#2413	C₂	1	1	yes	maximal, characteristic, complemented
24	#2411	C₂	1	1	yes	maximal, characteristic, complemented
25	#2411	C₂	1	1	yes	maximal, characteristic, complemented
26	#2405	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#394	C₂	1	1	yes	maximal, characteristic, complemented
28	#2359	C₂	1	1	yes	maximal, characteristic, complemented
29	#2342	C₂	1	1	yes	maximal, characteristic, complemented
30	D₄×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
31	#2309	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×D₄	C₂²	1	1	yes	characteristic
33	C₂³×D₄	C₂²	1	1	yes	characteristic
34	#552	—	2	8	no	—
35	#534	—	2	8	no	—
36	C₂×#126	C₂²	1	1	yes	characteristic, complemented
37	C₂×#126	C₂²	1	1	yes	characteristic, complemented
38	C₂×#125	C₂²	1	1	yes	characteristic, complemented
39	C₂×#125	C₂²	1	1	yes	characteristic, complemented
40	C₂×#125	C₂²	1	1	yes	characteristic, complemented
41	C₂×#124	C₂²	1	1	yes	characteristic, complemented
42	C₂×#123	C₂²	1	1	yes	characteristic
43	C₂×#123	C₂²	1	1	yes	characteristic
44	C₂×#123	C₂²	1	1	yes	characteristic
45	C₂×#123	C₂²	1	1	yes	characteristic
46	C₂×#123	C₂²	1	1	yes	characteristic
47	C₂×#123	C₂²	1	1	yes	characteristic
48	C₂×#123	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
52	C₂×#121	C₂²	1	1	yes	characteristic
53	C₂×#121	C₂²	1	1	yes	characteristic
54	C₂×#121	C₂²	1	1	yes	characteristic
55	C₂×#121	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×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
62	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
63	C₂×#117	C₂²	1	1	yes	characteristic, complemented
64	C₂×#117	C₂²	1	1	yes	characteristic, complemented
65	C₂×#117	C₂²	1	1	yes	characteristic, complemented
66	C₂×#117	C₂²	1	1	yes	characteristic, complemented
67	C₂²×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
68	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
69	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
70	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
71	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
72	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
73	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
74	#400	C₂²	1	1	yes	characteristic, complemented
75	#399	C₂²	1	1	yes	characteristic, complemented
76	#399	C₂²	1	1	yes	characteristic, complemented
77	#399	C₂²	1	1	yes	characteristic, complemented
78	#398	C₂²	1	1	yes	characteristic, complemented
79	#398	C₂²	1	1	yes	characteristic, complemented
80	#398	C₂²	1	1	yes	characteristic, complemented
81	#397	C₂²	1	1	yes	characteristic, complemented
82	#397	C₂²	1	1	yes	characteristic, complemented
83	#397	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	#396	C₂²	1	1	yes	characteristic, complemented
89	#396	C₂²	1	1	yes	characteristic, complemented
90	#396	C₂²	1	1	yes	characteristic, complemented
91	#396	C₂²	1	1	yes	characteristic, complemented
92	#394	C₂²	1	1	yes	characteristic
93	#394	C₂²	1	1	yes	characteristic
94	#394	C₂²	1	1	yes	characteristic
95	#394	C₂²	1	1	yes	characteristic
96	#394	C₂²	1	1	yes	characteristic, complemented
97	#394	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	#393	C₂²	1	1	yes	characteristic, complemented
113	#393	C₂²	1	1	yes	characteristic, complemented
114	#390	C₂²	1	1	yes	characteristic
115	#390	C₂²	1	1	yes	characteristic
116	#390	C₂²	1	1	yes	characteristic
117	#390	C₂²	1	1	yes	characteristic
118	#390	C₂²	1	1	yes	characteristic, complemented
119	#390	C₂²	1	1	yes	characteristic, complemented
120	#390	C₂²	1	1	yes	characteristic, complemented
121	#390	C₂²	1	1	yes	characteristic, complemented
122	#390	C₂²	1	1	yes	characteristic, complemented
123	#390	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	#389	C₂²	1	1	yes	characteristic, complemented
128	#389	C₂²	1	1	yes	characteristic, complemented
129	#389	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	#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	#388	C₂²	1	1	yes	characteristic, complemented
145	#388	C₂²	1	1	yes	characteristic, complemented
146	#388	C₂²	1	1	yes	characteristic, complemented
147	#388	C₂²	1	1	yes	characteristic, complemented
148	#387	C₂²	1	1	yes	characteristic, complemented
149	#387	C₂²	1	1	yes	characteristic, complemented
150	#387	C₂²	1	1	yes	characteristic, complemented
151	#387	C₂²	1	1	yes	characteristic, complemented
152	#386	C₂²	1	1	yes	characteristic
153	#386	C₂²	1	1	yes	characteristic
154	#386	C₂²	1	1	yes	characteristic
155	#386	C₂²	1	1	yes	characteristic
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	#386	C₂²	1	1	yes	characteristic, complemented
160	#386	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	#385	C₂²	1	1	yes	characteristic, complemented
167	#385	C₂²	1	1	yes	characteristic, complemented
168	#385	C₂²	1	1	yes	characteristic, complemented
169	#385	C₂²	1	1	yes	characteristic, complemented
170	#381	C₂²	1	1	yes	characteristic, complemented
171	#380	C₂²	1	1	yes	characteristic, complemented
172	#380	C₂²	1	1	yes	characteristic, complemented
173	#380	C₂²	1	1	yes	characteristic, complemented
174	#380	C₂²	1	1	yes	characteristic, complemented
175	#379	C₂²	1	1	yes	characteristic
176	#379	C₂²	1	1	yes	characteristic
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	C₄×C₄⋊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	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
188	C₂×#95	C₂²	1	1	yes	characteristic, complemented
189	C₂⁵	C₂³	1	1	yes	characteristic
190	C₂⁵	C₂³	1	1	yes	characteristic
191	C₂⁵	C₂³	1	1	yes	characteristic
192	C₂²×Q₈	C₂³	1	1	yes	characteristic
193	C₂²×D₄	—	2	4	no	—
194	C₂²×D₄	—	2	4	no	—
195	C₂²×D₄	—	2	4	no	—
196	C₂²×D₄	—	2	4	no	—
197	C₂²×D₄	—	4	2	no	—
198	C₂²×D₄	—	4	2	no	—
199	C₂²×D₄	C₂³	1	1	yes	characteristic
200	C₂²×D₄	C₂³	1	1	yes	characteristic
201	C₂²×D₄	C₂³	1	1	yes	characteristic
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	C₂²×D₄	C₂³	1	1	yes	characteristic
210	C₂²×D₄	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
218	C₂³×C₄	C₂³	1	1	yes	characteristic
219	C₂³×C₄	C₂³	1	1	yes	characteristic
220	C₂³×C₄	C₂³	1	1	yes	characteristic
221	#126	—	2	4	no	—
222	#126	—	2	4	no	—
223	#125	—	2	4	no	—
224	#125	—	2	4	no	—
225	#125	—	2	4	no	—
226	#124	—	4	2	no	—
227	#123	—	2	4	no	—
228	#123	—	2	4	no	—
229	#123	—	2	4	no	—
230	#123	—	2	4	no	—
231	#123	—	4	2	no	—
232	#123	—	4	2	no	—
233	#123	D₄	1	8	yes	—
234	C₂²⋊Q₈	—	2	4	no	—
235	C₂²⋊Q₈	—	2	4	no	—
236	C₂²⋊Q₈	—	4	2	no	—
237	#121	—	2	4	no	—
238	#121	—	2	4	no	—
239	#121	—	2	4	no	—
240	#121	—	2	4	no	—
241	#120	—	2	4	no	—
242	#120	—	2	4	no	—
243	#120	—	2	4	no	—
244	#120	—	2	4	no	—
245	C₄×Q₈	—	2	4	no	—
246	C₄×D₄	—	2	4	no	—
247	C₄×D₄	—	4	2	no	—
248	#117	—	2	4	no	—
249	#117	—	2	4	no	—
250	#117	—	2	4	no	—
251	#117	—	4	2	no	—
252	C₂×C₄⋊C₄	—	2	4	no	—
253	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₄	—	2	4	no	—
285	C₂×C₂²⋊C₄	—	2	4	no	—
286	C₂×C₂²⋊C₄	—	4	2	no	—
287	C₂×C₂²⋊C₄	—	4	2	no	—
288	C₂×C₂²⋊C₄	—	4	2	no	—
289	C₂×C₂²⋊C₄	—	4	2	no	—
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
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×C₄²	C₂³	1	1	yes	characteristic
353	C₂×C₄²	C₂³	1	1	yes	characteristic
354	C₂×C₄²	C₂³	1	1	yes	characteristic
355	C₂×C₄²	C₂³	1	1	yes	characteristic
356	C₂×C₄²	C₂³	1	1	yes	characteristic
357	C₂×C₄²	C₂³	1	1	yes	characteristic
358	C₂×C₄²	C₂³	1	1	yes	characteristic
359	C₂×C₄²	C₂³	1	1	yes	characteristic
360	C₂×C₄²	C₂³	1	1	yes	characteristic
361	C₂×C₄²	C₂³	1	1	yes	characteristic
362	#95	C₂³	1	1	yes	characteristic
363	#95	C₂³	1	1	yes	characteristic
364	#95	C₂³	1	1	yes	characteristic
365	#95	C₂³	1	1	yes	characteristic
366	#95	C₂³	1	1	yes	characteristic
367	#95	C₂³	1	1	yes	characteristic
368	#95	C₂³	1	1	yes	characteristic
369	#95	C₂³	1	1	yes	characteristic
370	#95	C₂³	1	1	yes	characteristic
371	#95	C₂³	1	1	yes	characteristic
372	#95	C₂³	1	1	yes	characteristic
373	#95	C₂³	1	1	yes	characteristic
374	#95	C₂³	1	1	yes	characteristic
375	#95	C₂³	1	1	yes	characteristic
376	#95	C₂³	1	1	yes	characteristic
377	#95	C₂³	1	1	yes	characteristic
378	#95	C₂³	1	1	yes	characteristic
379	#95	C₂³	1	1	yes	characteristic
380	#95	C₂³	1	1	yes	characteristic
381	#95	C₂³	1	1	yes	characteristic
382	#95	C₂³	1	1	yes	characteristic
383	#95	C₂³	1	1	yes	characteristic
384	#95	C₂³	1	1	yes	characteristic
385	#95	C₂³	1	1	yes	characteristic
386	#95	C₂³	1	1	yes	characteristic
387	#95	C₂³	1	1	yes	characteristic
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	—	4	1	no	—
396	C₂⁴	—	4	1	no	—
397	C₂⁴	—	4	1	no	—
398	C₂⁴	—	4	1	no	—
399	C₂⁴	—	4	1	no	—
400	C₂⁴	—	4	1	no	—
401	C₂⁴	—	4	1	no	—
402	C₂⁴	—	4	1	no	—
403	C₂⁴	—	4	1	no	—
404	C₂⁴	—	4	1	no	—
405	C₂⁴	—	4	1	no	—
406	C₂⁴	—	4	1	no	—
407	C₂⁴	—	4	1	no	—
408	C₂⁴	#41	1	4	yes	—
409	C₂⁴	C₂⁴	1	1	yes	characteristic
410	C₂⁴	C₂⁴	1	1	yes	characteristic
411	C₂⁴	C₂⁴	1	1	yes	characteristic
412	C₂⁴	C₂⁴	1	1	yes	characteristic
413	C₂⁴	C₂⁴	1	1	yes	characteristic
414	C₂⁴	C₂⁴	1	1	yes	characteristic
415	C₂⁴	C₂⁴	1	1	yes	characteristic
416	C₂×Q₈	—	2	2	no	—
417	C₂×Q₈	—	2	2	no	—
418	C₂×Q₈	—	4	1	no	—
419	C₂×D₄	—	2	2	no	—
420	C₂×D₄	—	2	2	no	—
421	C₂×D₄	—	2	2	no	—
422	C₂×D₄	—	2	2	no	—
423	C₂×D₄	—	2	2	no	—
424	C₂×D₄	—	2	2	no	—
425	C₂×D₄	—	2	2	no	—
426	C₂×D₄	—	2	2	no	—
427	C₂×D₄	—	2	2	no	—
428	C₂×D₄	—	2	2	no	—
429	C₂×D₄	—	2	2	no	—
430	C₂×D₄	—	2	2	no	—
431	C₂×D₄	—	2	2	no	—
432	C₂×D₄	—	2	2	no	—
433	C₂×D₄	—	2	2	no	—
434	C₂×D₄	—	2	2	no	—
435	C₂×D₄	—	2	2	no	—
436	C₂×D₄	—	2	2	no	—
437	C₂×D₄	—	2	2	no	—
438	C₂×D₄	—	2	2	no	—
439	C₂×D₄	—	2	2	no	—
440	C₂×D₄	—	4	1	no	—
441	C₂×D₄	—	4	1	no	—
442	C₂×D₄	—	4	1	no	—
443	C₂×D₄	—	4	1	no	—
444	C₂×D₄	—	4	1	no	—
445	C₂×D₄	—	4	1	no	—
446	C₂×D₄	—	4	16	no	—
447	C₂×D₄	—	4	1	no	—
448	C₂×D₄	—	4	1	no	—
449	C₂×D₄	—	4	1	no	—
450	C₂×D₄	—	4	1	no	—
451	C₂×D₄	—	4	1	no	—
452	C₂×D₄	—	4	1	no	—
453	C₂×D₄	—	4	1	no	—
454	C₂×D₄	—	4	1	no	—
455	C₂×D₄	—	4	16	no	—
456	C₂×D₄	C₂×D₄	1	4	yes	—
457	C₂²×C₄	—	2	2	no	—
458	C₂²×C₄	—	2	2	no	—
459	C₂²×C₄	—	2	2	no	—
460	C₂²×C₄	—	2	2	no	—
461	C₂²×C₄	—	2	2	no	—
462	C₂²×C₄	—	2	2	no	—
463	C₂²×C₄	—	2	2	no	—
464	C₂²×C₄	—	2	2	no	—
465	C₂²×C₄	—	2	2	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	—	4	1	no	—
473	C₂²×C₄	—	4	1	no	—
474	C₂²×C₄	—	4	1	no	—
475	C₂²×C₄	—	4	1	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	C₂×D₄	1	4	yes	—
487	C₂²×C₄	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄	C₂⁴	1	1	yes	characteristic
491	C₂²×C₄	C₂⁴	1	1	yes	characteristic
492	C₂²×C₄	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄	—	2	2	no	—
512	C₄⋊C₄	—	2	2	no	—
513	C₄⋊C₄	—	2	2	no	—
514	C₄⋊C₄	—	2	2	no	—
515	C₄⋊C₄	—	2	2	no	—
516	C₄⋊C₄	—	2	2	no	—
517	C₄⋊C₄	—	2	2	no	—
518	C₄⋊C₄	—	2	2	no	—
519	C₄⋊C₄	—	2	2	no	—
520	C₄⋊C₄	—	2	2	no	—
521	C₄⋊C₄	—	2	2	no	—
522	C₄⋊C₄	—	2	2	no	—
523	C₄⋊C₄	—	2	2	no	—
524	C₄⋊C₄	—	2	2	no	—
525	C₄⋊C₄	—	2	2	no	—
526	C₄⋊C₄	—	2	2	no	—
527	C₄⋊C₄	—	2	2	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	C₄⋊C₄	—	4	1	no	—
537	C₄⋊C₄	—	4	1	no	—
538	C₄⋊C₄	—	4	1	no	—
539	C₄⋊C₄	—	4	1	no	—
540	C₄⋊C₄	C₂×D₄	1	4	yes	—
541	C₄⋊C₄	C₂×D₄	1	4	yes	—
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	—	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	—	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	C₂×D₄	1	4	yes	—
602	C₂²⋊C₄	C₂×D₄	1	4	yes	—
603	C₂²⋊C₄	C₂×D₄	1	4	yes	—
604	C₄²	—	2	2	no	—
605	C₄²	—	2	2	no	—
606	C₄²	—	2	2	no	—
607	C₄²	—	2	2	no	—
608	C₄²	—	2	2	no	—
609	C₄²	—	4	1	no	—
610	C₄²	—	4	1	no	—
611	C₄²	—	4	1	no	—
612	C₄²	—	4	1	no	—
613	C₄²	—	4	1	no	—
614	C₂³	—	2	1	no	—
615	C₂³	—	2	1	no	—
616	C₂³	—	2	1	no	—
617	C₂³	—	2	1	no	—
618	C₂³	—	2	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	1	no	—
628	C₂³	—	2	1	no	—
629	C₂³	—	2	1	no	—
630	C₂³	—	2	1	no	—
631	C₂³	—	2	1	no	—
632	C₂³	—	2	1	no	—
633	C₂³	—	2	1	no	—
634	C₂³	—	2	1	no	—
635	C₂³	—	2	1	no	—
636	C₂³	—	2	8	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	—	4	4	no	—
659	C₂³	—	4	4	no	—
660	C₂³	—	4	4	no	—
661	C₂³	—	4	4	no	—
662	C₂³	—	4	4	no	—
663	C₂³	—	4	4	no	—
664	C₂³	—	4	4	no	—
665	C₂³	—	8	2	no	—
666	C₂³	—	8	2	no	—
667	C₂³	—	8	2	no	—
668	C₂³	—	8	2	no	—
669	C₂³	—	8	2	no	—
670	C₂³	—	8	2	no	—
671	C₂³	—	8	2	no	—
672	C₂³	—	8	2	no	—
673	C₂³	—	8	2	no	—
674	C₂³	—	8	2	no	—
675	C₂³	—	8	2	no	—
676	C₂³	—	8	2	no	—
677	C₂³	—	8	2	no	—
678	C₂³	C₂²×D₄	1	2	yes	—
679	C₂³	C₂²×D₄	1	2	yes	—
680	C₂³	C₂×#41	1	2	yes	—
681	C₂³	C₂×#41	1	2	yes	—
682	C₂³	C₂×#41	1	2	yes	—
683	C₂³	H(5,𝔽₂)	1	2	yes	—
684	C₂³	C₂⁵	1	1	yes	characteristic
685	Q₈	—	4	4	no	—
686	D₄	—	2	8	no	—
687	D₄	—	4	4	no	—
688	D₄	—	4	4	no	—
689	D₄	—	4	4	no	—
690	D₄	—	4	4	no	—
691	D₄	—	4	4	no	—
692	D₄	—	4	4	no	—
693	D₄	—	4	4	no	—
694	D₄	—	8	2	no	—
695	D₄	—	8	2	no	—
696	D₄	—	8	2	no	—
697	D₄	—	8	2	no	—
698	C₂×C₄	—	2	8	no	—
699	C₂×C₄	—	2	1	no	—
700	C₂×C₄	—	2	1	no	—
701	C₂×C₄	—	2	1	no	—
702	C₂×C₄	—	2	1	no	—
703	C₂×C₄	—	2	1	no	—
704	C₂×C₄	—	2	1	no	—
705	C₂×C₄	—	2	1	no	—
706	C₂×C₄	—	2	1	no	—
707	C₂×C₄	—	2	1	no	—
708	C₂×C₄	—	2	1	no	—
709	C₂×C₄	—	2	1	no	—
710	C₂×C₄	—	2	1	no	—
711	C₂×C₄	—	2	1	no	—
712	C₂×C₄	—	2	1	no	—
713	C₂×C₄	—	2	1	no	—
714	C₂×C₄	—	2	1	no	—
715	C₂×C₄	—	2	1	no	—
716	C₂×C₄	—	2	1	no	—
717	C₂×C₄	—	2	1	no	—
718	C₂×C₄	—	2	1	no	—
719	C₂×C₄	—	2	1	no	—
720	C₂×C₄	—	2	1	no	—
721	C₂×C₄	—	2	1	no	—
722	C₂×C₄	—	2	1	no	—
723	C₂×C₄	—	2	1	no	—
724	C₂×C₄	—	2	1	no	—
725	C₂×C₄	—	2	1	no	—
726	C₂×C₄	—	2	1	no	—
727	C₂×C₄	—	2	1	no	—
728	C₂×C₄	—	2	1	no	—
729	C₂×C₄	—	2	1	no	—
730	C₂×C₄	—	2	1	no	—
731	C₂×C₄	—	2	1	no	—
732	C₂×C₄	—	2	1	no	—
733	C₂×C₄	—	2	1	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	—	4	4	no	—
766	C₂×C₄	—	4	4	no	—
767	C₂×C₄	—	4	4	no	—
768	C₂×C₄	—	4	4	no	—
769	C₂×C₄	—	8	2	no	—
770	C₂×C₄	—	8	2	no	—
771	C₂×C₄	—	8	2	no	—
772	C₂×C₄	—	8	2	no	—
773	C₂×C₄	—	8	2	no	—
774	C₂×C₄	C₂²×D₄	1	2	yes	—
775	C₂×C₄	C₂²×D₄	1	2	yes	—
776	C₂×C₄	C₂²×D₄	1	2	yes	—
777	C₂×C₄	C₂²×D₄	1	2	yes	—
778	C₂×C₄	C₂²×D₄	1	2	yes	—
779	C₂×C₄	H(5,𝔽₂)	1	2	yes	—
780	C₂²	—	2	2	no	—
781	C₂²	—	2	2	no	—
782	C₂²	—	2	2	no	—
783	C₂²	—	2	2	no	—
784	C₂²	—	2	2	no	—
785	C₂²	—	2	2	no	—
786	C₂²	—	2	2	no	—
787	C₂²	—	2	2	no	—
788	C₂²	—	2	2	no	—
789	C₂²	—	2	2	no	—
790	C₂²	—	2	2	no	—
791	C₂²	—	2	2	no	—
792	C₂²	—	2	2	no	—
793	C₂²	—	2	2	no	—
794	C₂²	—	2	2	no	—
795	C₂²	—	4	1	no	—
796	C₂²	—	4	1	no	—
797	C₂²	—	4	1	no	—
798	C₂²	—	4	1	no	—
799	C₂²	—	4	1	no	—
800	C₂²	—	4	1	no	—
801	C₂²	—	4	1	no	—
802	C₂²	—	4	1	no	—
803	C₂²	—	4	1	no	—
804	C₂²	—	4	1	no	—
805	C₂²	—	4	1	no	—
806	C₂²	—	4	1	no	—
807	C₂²	—	4	1	no	—
808	C₂²	—	4	1	no	—
809	C₂²	—	4	1	no	—
810	C₂²	—	4	1	no	—
811	C₂²	—	4	1	no	—
812	C₂²	—	4	1	no	—
813	C₂²	—	4	1	no	—
814	C₂²	—	4	1	no	—
815	C₂²	—	4	1	no	—
816	C₂²	—	4	1	no	—
817	C₂²	—	4	1	no	—
818	C₂²	—	4	1	no	—
819	C₂²	—	4	1	no	—
820	C₂²	—	4	1	no	—
821	C₂²	—	4	1	no	—
822	C₂²	—	4	1	no	—
823	C₂²	—	4	1	no	—
824	C₂²	—	4	1	no	—
825	C₂²	—	4	1	no	—
826	C₂²	—	4	1	no	—
827	C₂²	—	4	1	no	—
828	C₂²	—	8	8	no	—
829	C₂²	—	8	8	no	—
830	C₂²	—	8	8	no	—
831	C₂²	#546	1	4	yes	—
832	C₂²	C₂³×D₄	1	1	yes	characteristic
833	C₂²	C₂²×#41	1	1	yes	characteristic
834	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
835	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
836	C₂²	#585	1	1	yes	characteristic
837	C₂²	#585	1	1	yes	characteristic
838	C₂²	#585	1	1	yes	characteristic
839	C₄	—	2	2	no	—
840	C₄	—	2	2	no	—
841	C₄	—	2	2	no	—
842	C₄	—	2	2	no	—
843	C₄	—	2	2	no	—
844	C₄	—	2	2	no	—
845	C₄	—	4	1	no	—
846	C₄	—	4	1	no	—
847	C₄	—	4	1	no	—
848	C₄	—	4	1	no	—
849	C₄	—	4	1	no	—
850	C₄	—	4	1	no	—
851	C₄	—	4	1	no	—
852	C₄	—	4	1	no	—
853	C₄	—	4	1	no	—
854	C₄	—	4	1	no	—
855	C₄	—	4	1	no	—
856	C₄	—	4	1	no	—
857	C₄	—	4	1	no	—
858	C₄	—	4	1	no	—
859	C₄	—	4	1	no	—
860	C₄	—	4	1	no	—
861	C₄	—	4	1	no	—
862	C₄	—	4	1	no	—
863	C₂	—	2	4	no	—
864	C₂	—	4	2	no	—
865	C₂	—	4	2	no	—
866	C₂	—	4	2	no	—
867	C₂	—	8	1	no	—
868	C₂	—	8	1	no	—
869	C₂	—	8	1	no	—
870	C₂	C₂×#546	1	1	yes	characteristic
871	C₂	#3488	1	1	yes	characteristic
872	C₂	#3491	1	1	yes	characteristic
873	C₂	#3500	1	1	yes	characteristic
874	C₂	#3505	1	1	yes	characteristic
875	C₂	#3533	1	1	yes	characteristic
876	C₂	#3542	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁵
prime radical	C₂×#534	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
1. C₂×#552	C₂	semidirect
3. #2711	C₂	semidirect
4. #2711	C₂	semidirect
5. #2707	C₂	semidirect
6. #2694	C₂	semidirect
7. #2691	C₂	semidirect
8. #2685	C₂	semidirect
9. #2685	C₂	semidirect
10. #2681	C₂	semidirect
11. #2559	C₂	semidirect
12. #2558	C₂	semidirect
13. #2534	C₂	semidirect
14. #2498	C₂	semidirect
15. #2490	C₂	semidirect
16. #2476	C₂	semidirect
17. #2472	C₂	semidirect
18. #2472	C₂	semidirect
19. #2458	C₂	semidirect
20. #2437	C₂	semidirect
21. #2426	C₂	semidirect
22. #2418	C₂	semidirect
23. #2413	C₂	semidirect
24. #2411	C₂	semidirect
25. #2411	C₂	semidirect
26. #2405	C₂	semidirect
27. C₂×#394	C₂	semidirect
28. #2359	C₂	semidirect
29. #2342	C₂	semidirect
30. D₄×C₂²⋊C₄	C₂	semidirect
31. #2309	C₂	semidirect
36. C₂×#126	C₂²	semidirect
37. C₂×#126	C₂²	semidirect
38. C₂×#125	C₂²	semidirect
39. C₂×#125	C₂²	semidirect
40. C₂×#125	C₂²	semidirect
41. C₂×#124	C₂²	semidirect
48. C₂×#123	C₂²	semidirect
49. C₂×C₂²⋊Q₈	C₂²	semidirect
50. C₂×C₂²⋊Q₈	C₂²	semidirect
51. C₂×C₂²⋊Q₈	C₂²	semidirect
60. C₂×C₄×Q₈	C₂²	semidirect
63. C₂×#117	C₂²	semidirect
64. C₂×#117	C₂²	semidirect
65. C₂×#117	C₂²	semidirect
66. C₂×#117	C₂²	semidirect
67. C₂²×C₄⋊C₄	C₂²	semidirect
71. C₂²×C₂²⋊C₄	C₂²	semidirect
72. C₂²×C₂²⋊C₄	C₂²	semidirect
73. C₂²×C₂²⋊C₄	C₂²	semidirect
74. #400	C₂²	semidirect
75. #399	C₂²	semidirect
76. #399	C₂²	semidirect
77. #399	C₂²	semidirect
78. #398	C₂²	semidirect
79. #398	C₂²	semidirect
80. #398	C₂²	semidirect
81. #397	C₂²	semidirect
82. #397	C₂²	semidirect
83. #397	C₂²	semidirect
84. #396	C₂²	semidirect
85. #396	C₂²	semidirect
86. #396	C₂²	semidirect
87. #396	C₂²	semidirect
88. #396	C₂²	semidirect
89. #396	C₂²	semidirect
90. #396	C₂²	semidirect
91. #396	C₂²	semidirect
96. #394	C₂²	semidirect
97. #394	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. #393	C₂²	semidirect
113. #393	C₂²	semidirect
118. #390	C₂²	semidirect
119. #390	C₂²	semidirect
120. #390	C₂²	semidirect
121. #390	C₂²	semidirect
122. #390	C₂²	semidirect
123. #390	C₂²	semidirect
124. #390	C₂²	semidirect
125. #390	C₂²	semidirect
126. #390	C₂²	semidirect
127. #389	C₂²	semidirect
128. #389	C₂²	semidirect
129. #389	C₂²	semidirect
130. #388	C₂²	semidirect
131. #388	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. #388	C₂²	semidirect
145. #388	C₂²	semidirect
146. #388	C₂²	semidirect
147. #388	C₂²	semidirect
148. #387	C₂²	semidirect
149. #387	C₂²	semidirect
150. #387	C₂²	semidirect
151. #387	C₂²	semidirect
156. #386	C₂²	semidirect
157. #386	C₂²	semidirect
158. #386	C₂²	semidirect
159. #386	C₂²	semidirect
160. #386	C₂²	semidirect
161. #385	C₂²	semidirect
162. #385	C₂²	semidirect
163. #385	C₂²	semidirect
164. #385	C₂²	semidirect
165. #385	C₂²	semidirect
166. #385	C₂²	semidirect
167. #385	C₂²	semidirect
168. #385	C₂²	semidirect
169. #385	C₂²	semidirect
170. #381	C₂²	semidirect
171. #380	C₂²	semidirect
172. #380	C₂²	semidirect
173. #380	C₂²	semidirect
174. #380	C₂²	semidirect
177. #379	C₂²	semidirect
178. #379	C₂²	semidirect
179. #379	C₂²	semidirect
180. #379	C₂²	semidirect
181. #379	C₂²	semidirect
182. C₄×C₄⋊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
187. C₄×C₂²⋊C₄	C₂²	semidirect
188. C₂×#95	C₂²	semidirect

Maximal subgroups

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

subgroup	index
C₂×#552	2
C₂×#534	2
#2711	2
#2707	2
#2694	2
#2691	2
#2685	2
#2681	2
#2559	2
#2558	2
#2534	2
#2498	2
#2490	2
#2476	2
#2472	2
#2458	2
#2437	2
#2426	2
#2418	2
#2413	2
#2411	2
#2405	2
C₂×#394	2
#2359	2
#2342	2
D₄×C₂²⋊C₄	2
#2309	2