Subgroups — #59123

Order 256.

1975 conjugacy classes of subgroups.

The subgroup lattice has 1061 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#546	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#546	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×#121	C₂	1	1	yes	maximal, characteristic, complemented
5	#2676	C₂	1	1	yes	maximal, characteristic, complemented
6	#2673	C₂	1	1	yes	maximal, characteristic, complemented
7	#2671	C₂	1	1	yes	maximal, characteristic, complemented
8	#2668	C₂	1	1	yes	maximal, characteristic, complemented
9	#2555	C₂	1	1	yes	maximal, characteristic, complemented
10	#2543	C₂	1	1	yes	maximal, characteristic, complemented
11	#2539	C₂	1	1	yes	maximal, characteristic, complemented
12	#2472	C₂	1	1	yes	maximal, characteristic, complemented
13	#2464	C₂	1	1	yes	maximal, characteristic, complemented
14	#2449	C₂	1	1	yes	maximal, characteristic, complemented
15	#2443	C₂	1	1	yes	maximal, characteristic, complemented
16	#2430	C₂	1	1	yes	maximal, characteristic, complemented
17	#2428	C₂	1	1	yes	maximal, characteristic, complemented
18	#2425	C₂	1	1	yes	maximal, characteristic, complemented
19	#2424	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	#2410	C₂	1	1	yes	maximal, characteristic, complemented
23	#2410	C₂	1	1	yes	maximal, characteristic, complemented
24	#2405	C₂	1	1	yes	maximal, characteristic, complemented
25	#2403	C₂	1	1	yes	maximal, characteristic, complemented
26	#2403	C₂	1	1	yes	maximal, characteristic, complemented
27	#2364	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	C₄×#120	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#386	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#41	C₂²	1	1	yes	characteristic, complemented
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	C₂³×D₄	C₂²	1	1	yes	characteristic, complemented
37	C₂³×D₄	C₂²	1	1	yes	characteristic, complemented
38	C₂³×D₄	C₂²	1	1	yes	characteristic, complemented
39	C₂⁴×C₄	C₂²	1	1	yes	characteristic, complemented
40	#546	—	2	8	no	—
41	#546	—	2	8	no	—
42	D₄²	—	2	8	no	—
43	C₂×#127	C₂²	1	1	yes	characteristic, complemented
44	C₂×#124	C₂²	1	1	yes	characteristic, complemented
45	C₂×#124	C₂²	1	1	yes	characteristic, complemented
46	C₂×#123	C₂²	1	1	yes	characteristic, complemented
47	C₂×#123	C₂²	1	1	yes	characteristic, complemented
48	C₂×#123	C₂²	1	1	yes	characteristic, complemented
49	C₂×#123	C₂²	1	1	yes	characteristic, complemented
50	C₂×#123	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
52	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
53	C₂×#121	—	2	8	no	—
54	C₂×#121	C₂²	1	1	yes	characteristic
55	C₂×#121	C₂²	1	1	yes	characteristic
56	C₂×#121	C₂²	1	1	yes	characteristic
57	C₂×#121	C₂²	1	1	yes	characteristic, complemented
58	C₂×#121	C₂²	1	1	yes	characteristic, complemented
59	C₂×#121	C₂²	1	1	yes	characteristic, complemented
60	C₂×#121	C₂²	1	1	yes	characteristic, complemented
61	C₂×#121	C₂²	1	1	yes	characteristic, complemented
62	C₂×#121	C₂²	1	1	yes	characteristic, complemented
63	C₂×#121	C₂²	1	1	yes	characteristic, complemented
64	C₂×#121	C₂²	1	1	yes	characteristic, complemented
65	C₂×#121	C₂²	1	1	yes	characteristic, complemented
66	C₂×#121	C₂²	1	1	yes	characteristic, complemented
67	C₂×#121	C₂²	1	1	yes	characteristic, complemented
68	C₂×#121	C₂²	1	1	yes	characteristic, complemented
69	C₂×#121	C₂²	1	1	yes	characteristic, complemented
70	C₂×#121	C₂²	1	1	yes	characteristic, complemented
71	C₂×#121	C₂²	1	1	yes	characteristic, complemented
72	C₂×#120	C₂²	1	1	yes	characteristic
73	C₂×#120	C₂²	1	1	yes	characteristic
74	C₂×#120	C₂²	1	1	yes	characteristic
75	C₂×#120	C₂²	1	1	yes	characteristic, complemented
76	C₂×#120	C₂²	1	1	yes	characteristic, complemented
77	C₂×#120	C₂²	1	1	yes	characteristic, complemented
78	C₂×#120	C₂²	1	1	yes	characteristic, complemented
79	C₂×#120	C₂²	1	1	yes	characteristic, complemented
80	C₂×#120	C₂²	1	1	yes	characteristic, complemented
81	C₂×#120	C₂²	1	1	yes	characteristic, complemented
82	C₂×#120	C₂²	1	1	yes	characteristic, complemented
83	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
84	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
85	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
86	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
87	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
88	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
89	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
90	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
91	C₂²×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
92	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
93	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
94	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
95	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
96	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
97	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
98	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
99	#399	C₂²	1	1	yes	characteristic, complemented
100	#399	C₂²	1	1	yes	characteristic, complemented
101	#398	C₂²	1	1	yes	characteristic, complemented
102	#398	C₂²	1	1	yes	characteristic, complemented
103	#397	C₂²	1	1	yes	characteristic, complemented
104	#397	C₂²	1	1	yes	characteristic, complemented
105	#396	C₂²	1	1	yes	characteristic, complemented
106	#396	C₂²	1	1	yes	characteristic, complemented
107	#395	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	#394	C₂²	1	1	yes	characteristic, complemented
117	#394	C₂²	1	1	yes	characteristic, complemented
118	#394	C₂²	1	1	yes	characteristic, complemented
119	#393	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	#392	C₂²	1	1	yes	characteristic, complemented
125	#392	C₂²	1	1	yes	characteristic, complemented
126	#392	C₂²	1	1	yes	characteristic, complemented
127	#392	C₂²	1	1	yes	characteristic, complemented
128	#392	C₂²	1	1	yes	characteristic, complemented
129	#392	C₂²	1	1	yes	characteristic, complemented
130	#392	C₂²	1	1	yes	characteristic, complemented
131	#390	C₂²	1	1	yes	characteristic, complemented
132	#390	C₂²	1	1	yes	characteristic, complemented
133	#390	C₂²	1	1	yes	characteristic, complemented
134	#390	C₂²	1	1	yes	characteristic, complemented
135	#390	C₂²	1	1	yes	characteristic, complemented
136	#389	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	#387	C₂²	1	1	yes	characteristic, complemented
144	#387	C₂²	1	1	yes	characteristic, complemented
145	#386	C₂²	1	1	yes	characteristic
146	#386	C₂²	1	1	yes	characteristic
147	#386	C₂²	1	1	yes	characteristic
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	#386	C₂²	1	1	yes	characteristic, complemented
160	#386	C₂²	1	1	yes	characteristic, complemented
161	#386	C₂²	1	1	yes	characteristic, complemented
162	#386	C₂²	1	1	yes	characteristic, complemented
163	#386	C₂²	1	1	yes	characteristic, complemented
164	#386	C₂²	1	1	yes	characteristic, complemented
165	#386	C₂²	1	1	yes	characteristic, complemented
166	#386	C₂²	1	1	yes	characteristic, complemented
167	#386	C₂²	1	1	yes	characteristic, complemented
168	#386	C₂²	1	1	yes	characteristic, complemented
169	#386	C₂²	1	1	yes	characteristic, complemented
170	#386	C₂²	1	1	yes	characteristic, complemented
171	#385	C₂²	1	1	yes	characteristic, complemented
172	#385	C₂²	1	1	yes	characteristic, complemented
173	#385	C₂²	1	1	yes	characteristic, complemented
174	#385	C₂²	1	1	yes	characteristic, complemented
175	#385	C₂²	1	1	yes	characteristic, complemented
176	#385	C₂²	1	1	yes	characteristic, complemented
177	#385	C₂²	1	1	yes	characteristic, complemented
178	#385	C₂²	1	1	yes	characteristic, complemented
179	#380	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	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	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
189	C₂×#95	C₂²	1	1	yes	characteristic, complemented
190	C₂×#95	C₂²	1	1	yes	characteristic, complemented
191	C₂⁵	C₂³	1	1	yes	characteristic
192	C₂⁵	C₂³	1	1	yes	characteristic
193	C₂⁵	C₂³	1	1	yes	characteristic
194	C₂⁵	C₂³	1	1	yes	characteristic
195	C₂⁵	C₂³	1	1	yes	characteristic
196	C₂×#41	—	2	4	no	—
197	C₂×#41	—	2	4	no	—
198	C₂×#41	—	4	2	no	—
199	C₂²×Q₈	C₂³	1	1	yes	characteristic
200	C₂²×D₄	—	2	4	no	—
201	C₂²×D₄	—	2	4	no	—
202	C₂²×D₄	—	2	4	no	—
203	C₂²×D₄	—	2	4	no	—
204	C₂²×D₄	—	2	4	no	—
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	—	2	4	no	—
210	C₂²×D₄	—	2	4	no	—
211	C₂²×D₄	—	4	2	no	—
212	C₂²×D₄	—	4	2	no	—
213	C₂²×D₄	—	4	2	no	—
214	C₂²×D₄	—	4	2	no	—
215	C₂²×D₄	—	4	2	no	—
216	C₂²×D₄	—	4	2	no	—
217	C₂²×D₄	—	4	2	no	—
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
234	C₂²×D₄	C₂³	1	1	yes	characteristic
235	C₂²×D₄	C₂³	1	1	yes	characteristic
236	C₂²×D₄	C₂³	1	1	yes	characteristic
237	C₂²×D₄	C₂³	1	1	yes	characteristic
238	C₂²×D₄	C₂³	1	1	yes	characteristic
239	C₂²×D₄	C₂³	1	1	yes	characteristic
240	C₂²×D₄	C₂³	1	1	yes	characteristic
241	C₂²×D₄	C₂³	1	1	yes	characteristic
242	C₂²×D₄	C₂³	1	1	yes	characteristic
243	C₂²×D₄	C₂³	1	1	yes	characteristic
244	C₂²×D₄	C₂³	1	1	yes	characteristic
245	C₂²×D₄	C₂³	1	1	yes	characteristic
246	C₂²×D₄	C₂³	1	1	yes	characteristic
247	C₂²×D₄	C₂³	1	1	yes	characteristic
248	C₂³×C₄	—	2	4	no	—
249	C₂³×C₄	—	4	2	no	—
250	C₂³×C₄	—	4	2	no	—
251	C₂³×C₄	C₂³	1	1	yes	characteristic
252	C₂³×C₄	C₂³	1	1	yes	characteristic
253	C₂³×C₄	C₂³	1	1	yes	characteristic
254	C₂³×C₄	C₂³	1	1	yes	characteristic
255	C₂³×C₄	C₂³	1	1	yes	characteristic
256	C₂³×C₄	C₂³	1	1	yes	characteristic
257	C₂³×C₄	C₂³	1	1	yes	characteristic
258	C₂³×C₄	C₂³	1	1	yes	characteristic
259	C₂³×C₄	C₂³	1	1	yes	characteristic
260	C₂³×C₄	C₂³	1	1	yes	characteristic
261	C₂³×C₄	C₂³	1	1	yes	characteristic
262	C₂³×C₄	C₂³	1	1	yes	characteristic
263	C₂³×C₄	C₂³	1	1	yes	characteristic
264	C₂³×C₄	C₂³	1	1	yes	characteristic
265	C₂³×C₄	C₂³	1	1	yes	characteristic
266	C₂³×C₄	C₂³	1	1	yes	characteristic
267	C₂³×C₄	C₂³	1	1	yes	characteristic
268	#127	—	2	4	no	—
269	#124	—	2	4	no	—
270	#124	—	2	4	no	—
271	#123	—	2	4	no	—
272	#123	—	2	4	no	—
273	#123	—	2	4	no	—
274	#123	—	2	4	no	—
275	#123	—	4	2	no	—
276	C₂²⋊Q₈	—	2	4	no	—
277	C₂²⋊Q₈	—	2	4	no	—
278	#121	—	2	4	no	—
279	#121	—	2	4	no	—
280	#121	—	2	4	no	—
281	#121	—	2	4	no	—
282	#121	—	2	4	no	—
283	#121	—	2	4	no	—
284	#121	—	2	4	no	—
285	#121	—	2	4	no	—
286	#121	—	2	4	no	—
287	#121	—	2	4	no	—
288	#121	—	2	4	no	—
289	#121	—	2	4	no	—
290	#121	—	2	4	no	—
291	#121	—	2	4	no	—
292	#121	—	2	4	no	—
293	#121	—	2	4	no	—
294	#121	—	4	2	no	—
295	#121	D₄	1	8	yes	complemented
296	#120	—	2	4	no	—
297	#120	—	2	4	no	—
298	#120	—	2	4	no	—
299	#120	—	2	4	no	—
300	#120	—	2	4	no	—
301	#120	—	2	4	no	—
302	#120	—	2	4	no	—
303	#120	—	4	2	no	—
304	#120	—	4	2	no	—
305	#120	—	4	2	no	—
306	#120	D₄	1	8	yes	complemented
307	C₄×D₄	—	2	4	no	—
308	C₄×D₄	—	2	4	no	—
309	C₄×D₄	—	2	4	no	—
310	C₄×D₄	—	2	4	no	—
311	C₄×D₄	—	2	4	no	—
312	C₄×D₄	—	2	4	no	—
313	C₄×D₄	—	4	2	no	—
314	C₄×D₄	—	4	2	no	—
315	C₂×C₄⋊C₄	—	2	4	no	—
316	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
325	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
326	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
328	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊C₄	—	2	4	no	—
334	C₂×C₂²⋊C₄	—	2	4	no	—
335	C₂×C₂²⋊C₄	—	2	4	no	—
336	C₂×C₂²⋊C₄	—	2	4	no	—
337	C₂×C₂²⋊C₄	—	2	4	no	—
338	C₂×C₂²⋊C₄	—	2	4	no	—
339	C₂×C₂²⋊C₄	—	4	2	no	—
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
365	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
366	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
367	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
368	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
369	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
370	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
371	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
372	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
373	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
374	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
375	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
376	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
377	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
378	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
379	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
380	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
381	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
382	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
383	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
384	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
385	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
386	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
387	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
388	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
389	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
390	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
391	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
392	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
393	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
394	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
395	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
396	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
397	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
398	C₂×C₄²	C₂³	1	1	yes	characteristic
399	C₂×C₄²	C₂³	1	1	yes	characteristic
400	C₂×C₄²	C₂³	1	1	yes	characteristic
401	C₂×C₄²	C₂³	1	1	yes	characteristic
402	C₂×C₄²	C₂³	1	1	yes	characteristic
403	#95	C₂³	1	1	yes	characteristic
404	#95	C₂³	1	1	yes	characteristic
405	#95	C₂³	1	1	yes	characteristic
406	#95	C₂³	1	1	yes	characteristic
407	#95	C₂³	1	1	yes	characteristic
408	#95	C₂³	1	1	yes	characteristic
409	#95	C₂³	1	1	yes	characteristic
410	#95	C₂³	1	1	yes	characteristic
411	#95	C₂³	1	1	yes	characteristic
412	#95	C₂³	1	1	yes	characteristic
413	#95	C₂³	1	1	yes	characteristic
414	#95	C₂³	1	1	yes	characteristic
415	#95	C₂³	1	1	yes	characteristic
416	#95	C₂³	1	1	yes	characteristic
417	#95	C₂³	1	1	yes	characteristic
418	#95	C₂³	1	1	yes	characteristic
419	#95	C₂³	1	1	yes	characteristic
420	#95	C₂³	1	1	yes	characteristic
421	#95	C₂³	1	1	yes	characteristic
422	#95	C₂³	1	1	yes	characteristic
423	#95	C₂³	1	1	yes	characteristic
424	#95	C₂³	1	1	yes	characteristic
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	—	2	2	no	—
438	C₂⁴	—	2	2	no	—
439	C₂⁴	—	2	2	no	—
440	C₂⁴	—	2	2	no	—
441	C₂⁴	—	2	2	no	—
442	C₂⁴	—	2	2	no	—
443	C₂⁴	—	2	2	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	C₂×D₄	1	4	yes	—
460	C₂⁴	C₂⁴	1	1	yes	characteristic
461	C₂⁴	C₂⁴	1	1	yes	characteristic
462	C₂⁴	C₂⁴	1	1	yes	characteristic
463	C₂⁴	C₂⁴	1	1	yes	characteristic
464	C₂⁴	C₂⁴	1	1	yes	characteristic
465	C₂⁴	C₂⁴	1	1	yes	characteristic
466	C₂⁴	C₂⁴	1	1	yes	characteristic
467	C₂⁴	C₂⁴	1	1	yes	characteristic
468	C₂⁴	C₂⁴	1	1	yes	characteristic
469	C₂⁴	C₂⁴	1	1	yes	characteristic
470	#41	—	4	16	no	—
471	C₂×Q₈	—	2	2	no	—
472	C₂×Q₈	—	2	2	no	—
473	C₂×Q₈	—	4	1	no	—
474	C₂×D₄	—	2	2	no	—
475	C₂×D₄	—	2	2	no	—
476	C₂×D₄	—	2	2	no	—
477	C₂×D₄	—	2	2	no	—
478	C₂×D₄	—	2	2	no	—
479	C₂×D₄	—	2	2	no	—
480	C₂×D₄	—	2	2	no	—
481	C₂×D₄	—	2	2	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	—	2	2	no	—
514	C₂×D₄	—	2	2	no	—
515	C₂×D₄	—	2	2	no	—
516	C₂×D₄	—	2	2	no	—
517	C₂×D₄	—	2	2	no	—
518	C₂×D₄	—	2	2	no	—
519	C₂×D₄	—	2	2	no	—
520	C₂×D₄	—	2	2	no	—
521	C₂×D₄	—	2	2	no	—
522	C₂×D₄	—	2	2	no	—
523	C₂×D₄	—	2	2	no	—
524	C₂×D₄	—	2	2	no	—
525	C₂×D₄	—	2	2	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	1	no	—
543	C₂×D₄	—	4	1	no	—
544	C₂×D₄	—	4	1	no	—
545	C₂×D₄	—	4	1	no	—
546	C₂×D₄	—	4	16	no	—
547	C₂×D₄	—	4	1	no	—
548	C₂×D₄	—	4	1	no	—
549	C₂×D₄	—	4	1	no	—
550	C₂×D₄	—	4	1	no	—
551	C₂×D₄	—	4	1	no	—
552	C₂×D₄	—	4	1	no	—
553	C₂×D₄	—	4	1	no	—
554	C₂×D₄	—	4	1	no	—
555	C₂×D₄	—	4	1	no	—
556	C₂×D₄	—	4	1	no	—
557	C₂×D₄	—	4	1	no	—
558	C₂×D₄	—	4	16	no	—
559	C₂×D₄	—	4	16	no	—
560	C₂×D₄	—	4	16	no	—
561	C₂×D₄	—	4	16	no	—
562	C₂×D₄	—	4	16	no	—
563	C₂×D₄	C₂×D₄	1	4	yes	—
564	C₂×D₄	C₂×D₄	1	4	yes	—
565	C₂×D₄	C₂×D₄	1	4	yes	complemented
566	C₂×D₄	C₂×D₄	1	4	yes	complemented
567	C₂×D₄	C₂×D₄	1	4	yes	complemented
568	C₂×D₄	C₂×D₄	1	4	yes	complemented
569	C₂×D₄	#41	1	4	yes	complemented
570	C₂²×C₄	—	2	2	no	—
571	C₂²×C₄	—	2	2	no	—
572	C₂²×C₄	—	2	2	no	—
573	C₂²×C₄	—	2	2	no	—
574	C₂²×C₄	—	2	2	no	—
575	C₂²×C₄	—	2	2	no	—
576	C₂²×C₄	—	2	2	no	—
577	C₂²×C₄	—	2	2	no	—
578	C₂²×C₄	—	2	2	no	—
579	C₂²×C₄	—	2	2	no	—
580	C₂²×C₄	—	2	2	no	—
581	C₂²×C₄	—	2	2	no	—
582	C₂²×C₄	—	2	2	no	—
583	C₂²×C₄	—	2	2	no	—
584	C₂²×C₄	—	2	2	no	—
585	C₂²×C₄	—	2	2	no	—
586	C₂²×C₄	—	2	2	no	—
587	C₂²×C₄	—	2	2	no	—
588	C₂²×C₄	—	2	2	no	—
589	C₂²×C₄	—	2	2	no	—
590	C₂²×C₄	—	2	2	no	—
591	C₂²×C₄	—	2	2	no	—
592	C₂²×C₄	—	2	2	no	—
593	C₂²×C₄	—	2	2	no	—
594	C₂²×C₄	—	2	2	no	—
595	C₂²×C₄	—	2	2	no	—
596	C₂²×C₄	—	2	2	no	—
597	C₂²×C₄	—	2	2	no	—
598	C₂²×C₄	—	2	2	no	—
599	C₂²×C₄	—	2	2	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	C₂²×C₄	—	4	1	no	—
613	C₂²×C₄	—	4	1	no	—
614	C₂²×C₄	—	4	1	no	—
615	C₂²×C₄	—	4	1	no	—
616	C₂²×C₄	—	4	1	no	—
617	C₂²×C₄	—	4	1	no	—
618	C₂²×C₄	—	4	1	no	—
619	C₂²×C₄	—	4	1	no	—
620	C₂²×C₄	—	4	16	no	—
621	C₂²×C₄	C₂×D₄	1	4	yes	complemented
622	C₂²×C₄	C₂⁴	1	1	yes	characteristic
623	C₂²×C₄	C₂⁴	1	1	yes	characteristic
624	C₂²×C₄	C₂⁴	1	1	yes	characteristic
625	C₂²×C₄	C₂⁴	1	1	yes	characteristic
626	C₂²×C₄	C₂⁴	1	1	yes	characteristic
627	C₂²×C₄	C₂⁴	1	1	yes	characteristic
628	C₂²×C₄	C₂⁴	1	1	yes	characteristic
629	C₂²×C₄	C₂⁴	1	1	yes	characteristic
630	C₂²×C₄	C₂⁴	1	1	yes	characteristic
631	C₂²×C₄	C₂⁴	1	1	yes	characteristic
632	C₂²×C₄	C₂⁴	1	1	yes	characteristic
633	C₂²×C₄	C₂⁴	1	1	yes	characteristic
634	C₂²×C₄	C₂⁴	1	1	yes	characteristic
635	C₂²×C₄	C₂⁴	1	1	yes	characteristic
636	C₂²×C₄	C₂⁴	1	1	yes	characteristic
637	C₂²×C₄	C₂⁴	1	1	yes	characteristic
638	C₂²×C₄	C₂⁴	1	1	yes	characteristic
639	C₂²×C₄	C₂⁴	1	1	yes	characteristic
640	C₂²×C₄	C₂⁴	1	1	yes	characteristic
641	C₂²×C₄	C₂⁴	1	1	yes	characteristic
642	C₂²×C₄	C₂⁴	1	1	yes	characteristic
643	C₄⋊C₄	—	2	2	no	—
644	C₄⋊C₄	—	2	2	no	—
645	C₄⋊C₄	—	2	2	no	—
646	C₄⋊C₄	—	2	2	no	—
647	C₄⋊C₄	—	2	2	no	—
648	C₄⋊C₄	—	2	2	no	—
649	C₄⋊C₄	—	2	2	no	—
650	C₄⋊C₄	—	2	2	no	—
651	C₄⋊C₄	—	2	2	no	—
652	C₄⋊C₄	—	2	2	no	—
653	C₄⋊C₄	—	2	2	no	—
654	C₄⋊C₄	—	2	2	no	—
655	C₄⋊C₄	—	2	2	no	—
656	C₄⋊C₄	—	4	1	no	—
657	C₄⋊C₄	—	4	1	no	—
658	C₄⋊C₄	—	4	1	no	—
659	C₄⋊C₄	C₂×D₄	1	4	yes	complemented
660	C₂²⋊C₄	—	2	2	no	—
661	C₂²⋊C₄	—	2	2	no	—
662	C₂²⋊C₄	—	2	2	no	—
663	C₂²⋊C₄	—	2	2	no	—
664	C₂²⋊C₄	—	2	2	no	—
665	C₂²⋊C₄	—	2	2	no	—
666	C₂²⋊C₄	—	2	2	no	—
667	C₂²⋊C₄	—	2	2	no	—
668	C₂²⋊C₄	—	2	2	no	—
669	C₂²⋊C₄	—	2	2	no	—
670	C₂²⋊C₄	—	2	2	no	—
671	C₂²⋊C₄	—	2	2	no	—
672	C₂²⋊C₄	—	2	2	no	—
673	C₂²⋊C₄	—	2	2	no	—
674	C₂²⋊C₄	—	2	2	no	—
675	C₂²⋊C₄	—	2	2	no	—
676	C₂²⋊C₄	—	2	2	no	—
677	C₂²⋊C₄	—	2	2	no	—
678	C₂²⋊C₄	—	2	2	no	—
679	C₂²⋊C₄	—	2	2	no	—
680	C₂²⋊C₄	—	2	2	no	—
681	C₂²⋊C₄	—	2	2	no	—
682	C₂²⋊C₄	—	2	2	no	—
683	C₂²⋊C₄	—	2	2	no	—
684	C₂²⋊C₄	—	2	2	no	—
685	C₂²⋊C₄	—	2	2	no	—
686	C₂²⋊C₄	—	2	2	no	—
687	C₂²⋊C₄	—	2	2	no	—
688	C₂²⋊C₄	—	2	2	no	—
689	C₂²⋊C₄	—	2	2	no	—
690	C₂²⋊C₄	—	2	2	no	—
691	C₂²⋊C₄	—	2	2	no	—
692	C₂²⋊C₄	—	2	2	no	—
693	C₂²⋊C₄	—	2	2	no	—
694	C₂²⋊C₄	—	2	2	no	—
695	C₂²⋊C₄	—	2	2	no	—
696	C₂²⋊C₄	—	2	2	no	—
697	C₂²⋊C₄	—	2	2	no	—
698	C₂²⋊C₄	—	4	1	no	—
699	C₂²⋊C₄	—	4	1	no	—
700	C₂²⋊C₄	—	4	1	no	—
701	C₂²⋊C₄	—	4	1	no	—
702	C₂²⋊C₄	—	4	1	no	—
703	C₂²⋊C₄	—	4	1	no	—
704	C₂²⋊C₄	—	4	1	no	—
705	C₂²⋊C₄	—	4	1	no	—
706	C₂²⋊C₄	—	4	1	no	—
707	C₂²⋊C₄	—	4	1	no	—
708	C₂²⋊C₄	—	4	1	no	—
709	C₂²⋊C₄	—	4	1	no	—
710	C₂²⋊C₄	—	4	1	no	—
711	C₂²⋊C₄	—	4	1	no	—
712	C₂²⋊C₄	—	4	1	no	—
713	C₂²⋊C₄	C₂×D₄	1	4	yes	—
714	C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
715	C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
716	C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
717	C₂²⋊C₄	C₂×D₄	1	4	yes	complemented
718	C₄²	—	2	2	no	—
719	C₄²	—	2	2	no	—
720	C₄²	—	2	2	no	—
721	C₄²	—	4	1	no	—
722	C₄²	—	4	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	8	no	—
732	C₂³	—	2	8	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	—	2	1	no	—
759	C₂³	—	2	1	no	—
760	C₂³	—	2	1	no	—
761	C₂³	—	2	1	no	—
762	C₂³	—	2	1	no	—
763	C₂³	—	2	1	no	—
764	C₂³	—	2	1	no	—
765	C₂³	—	2	1	no	—
766	C₂³	—	2	1	no	—
767	C₂³	—	2	1	no	—
768	C₂³	—	2	1	no	—
769	C₂³	—	2	1	no	—
770	C₂³	—	2	1	no	—
771	C₂³	—	2	1	no	—
772	C₂³	—	2	1	no	—
773	C₂³	—	2	1	no	—
774	C₂³	—	2	1	no	—
775	C₂³	—	2	1	no	—
776	C₂³	—	2	1	no	—
777	C₂³	—	2	1	no	—
778	C₂³	—	2	1	no	—
779	C₂³	—	2	1	no	—
780	C₂³	—	2	1	no	—
781	C₂³	—	2	1	no	—
782	C₂³	—	2	1	no	—
783	C₂³	—	2	1	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	4	no	—
800	C₂³	—	4	4	no	—
801	C₂³	—	4	4	no	—
802	C₂³	—	4	4	no	—
803	C₂³	—	4	4	no	—
804	C₂³	—	8	2	no	—
805	C₂³	—	8	2	no	—
806	C₂³	—	8	2	no	—
807	C₂³	—	8	2	no	—
808	C₂³	—	8	2	no	—
809	C₂³	—	8	2	no	—
810	C₂³	—	8	2	no	—
811	C₂³	—	8	2	no	—
812	C₂³	—	8	2	no	—
813	C₂³	—	8	2	no	—
814	C₂³	—	8	2	no	—
815	C₂³	—	8	2	no	—
816	C₂³	—	8	2	no	—
817	C₂³	C₂²×D₄	1	2	yes	—
818	C₂³	C₂²×D₄	1	2	yes	—
819	C₂³	C₂²×D₄	1	2	yes	—
820	C₂³	C₂²×D₄	1	2	yes	—
821	C₂³	C₂²×D₄	1	2	yes	—
822	C₂³	C₂²×D₄	1	2	yes	—
823	C₂³	C₂²×D₄	1	2	yes	—
824	C₂³	C₂×#41	1	2	yes	—
825	C₂³	C₂×#41	1	2	yes	—
826	C₂³	H(5,𝔽₂)	1	2	yes	—
827	C₂³	H(5,𝔽₂)	1	2	yes	—
828	C₂³	C₂⁵	1	1	yes	characteristic
829	Q₈	—	4	4	no	—
830	D₄	—	2	8	no	—
831	D₄	—	2	8	no	—
832	D₄	—	2	8	no	—
833	D₄	—	2	8	no	—
834	D₄	—	2	8	no	—
835	D₄	—	4	4	no	—
836	D₄	—	4	4	no	—
837	D₄	—	4	4	no	—
838	D₄	—	4	4	no	—
839	D₄	—	4	4	no	—
840	D₄	—	4	4	no	—
841	D₄	—	4	4	no	—
842	D₄	—	4	4	no	—
843	D₄	—	4	4	no	—
844	D₄	—	4	4	no	—
845	D₄	—	4	4	no	—
846	D₄	—	4	4	no	—
847	D₄	—	4	4	no	—
848	D₄	—	4	4	no	—
849	D₄	—	4	4	no	—
850	D₄	—	4	4	no	—
851	D₄	—	4	4	no	—
852	D₄	—	4	4	no	—
853	D₄	—	4	4	no	—
854	D₄	—	4	4	no	—
855	D₄	—	8	2	no	—
856	D₄	—	8	2	no	—
857	D₄	—	8	2	no	—
858	D₄	—	8	2	no	—
859	D₄	—	8	2	no	—
860	C₂×C₄	—	2	8	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	—	2	1	no	—
905	C₂×C₄	—	2	1	no	—
906	C₂×C₄	—	2	1	no	—
907	C₂×C₄	—	2	1	no	—
908	C₂×C₄	—	2	1	no	—
909	C₂×C₄	—	2	1	no	—
910	C₂×C₄	—	2	1	no	—
911	C₂×C₄	—	2	1	no	—
912	C₂×C₄	—	2	1	no	—
913	C₂×C₄	—	2	1	no	—
914	C₂×C₄	—	2	1	no	—
915	C₂×C₄	—	4	4	no	—
916	C₂×C₄	—	4	4	no	—
917	C₂×C₄	—	4	4	no	—
918	C₂×C₄	—	4	4	no	—
919	C₂×C₄	—	4	4	no	—
920	C₂×C₄	—	4	4	no	—
921	C₂×C₄	—	4	4	no	—
922	C₂×C₄	—	4	4	no	—
923	C₂×C₄	—	4	4	no	—
924	C₂×C₄	—	4	4	no	—
925	C₂×C₄	—	4	4	no	—
926	C₂×C₄	—	4	4	no	—
927	C₂×C₄	—	4	4	no	—
928	C₂×C₄	—	8	2	no	—
929	C₂×C₄	—	8	2	no	—
930	C₂×C₄	—	8	2	no	—
931	C₂×C₄	C₂²×D₄	1	2	yes	—
932	C₂×C₄	C₂²×D₄	1	2	yes	—
933	C₂×C₄	C₂²×D₄	1	2	yes	—
934	C₂×C₄	C₂²×D₄	1	2	yes	—
935	C₂×C₄	C₂²×D₄	1	2	yes	—
936	C₂×C₄	C₂²×D₄	1	2	yes	—
937	C₂×C₄	C₂²×D₄	1	2	yes	—
938	C₂×C₄	C₂×#41	1	2	yes	—
939	C₂×C₄	H(5,𝔽₂)	1	2	yes	—
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	—	2	2	no	—
948	C₂²	—	2	2	no	—
949	C₂²	—	2	2	no	—
950	C₂²	—	2	2	no	—
951	C₂²	—	2	2	no	—
952	C₂²	—	2	2	no	—
953	C₂²	—	2	2	no	—
954	C₂²	—	2	2	no	—
955	C₂²	—	2	2	no	—
956	C₂²	—	2	2	no	—
957	C₂²	—	2	2	no	—
958	C₂²	—	2	2	no	—
959	C₂²	—	2	2	no	—
960	C₂²	—	2	2	no	—
961	C₂²	—	2	2	no	—
962	C₂²	—	2	2	no	—
963	C₂²	—	2	2	no	—
964	C₂²	—	2	2	no	—
965	C₂²	—	2	2	no	—
966	C₂²	—	2	2	no	—
967	C₂²	—	4	16	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	—	4	1	no	—
993	C₂²	—	4	1	no	—
994	C₂²	—	4	1	no	—
995	C₂²	—	4	1	no	—
996	C₂²	—	4	1	no	—
997	C₂²	—	4	1	no	—
998	C₂²	—	4	1	no	—
999	C₂²	—	4	1	no	—
1000	C₂²	—	4	1	no	—
1001	C₂²	—	4	1	no	—
1002	C₂²	—	4	1	no	—
1003	C₂²	—	4	1	no	—
1004	C₂²	—	4	1	no	—
1005	C₂²	—	4	1	no	—
1006	C₂²	—	4	1	no	—
1007	C₂²	—	4	1	no	—
1008	C₂²	—	4	1	no	—
1009	C₂²	—	8	8	no	—
1010	C₂²	—	8	8	no	—
1011	C₂²	—	8	8	no	—
1012	C₂²	—	8	8	no	—
1013	C₂²	D₄²	1	4	yes	—
1014	C₂²	#546	1	4	yes	complemented
1015	C₂²	C₂³×D₄	1	1	yes	characteristic
1016	C₂²	C₂³×D₄	1	1	yes	characteristic
1017	C₂²	C₂²×#41	1	1	yes	characteristic
1018	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1019	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1020	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1021	C₂²	#585	1	1	yes	characteristic
1022	C₄	—	2	2	no	—
1023	C₄	—	2	2	no	—
1024	C₄	—	2	2	no	—
1025	C₄	—	2	2	no	—
1026	C₄	—	2	2	no	—
1027	C₄	—	2	2	no	—
1028	C₄	—	2	2	no	—
1029	C₄	—	2	2	no	—
1030	C₄	—	2	2	no	—
1031	C₄	—	4	1	no	—
1032	C₄	—	4	1	no	—
1033	C₄	—	4	1	no	—
1034	C₄	—	4	1	no	—
1035	C₄	—	4	1	no	—
1036	C₄	—	4	1	no	—
1037	C₄	—	4	1	no	—
1038	C₄	—	4	1	no	—
1039	C₄	—	4	1	no	—
1040	C₄	—	4	1	no	—
1041	C₄	—	4	1	no	—
1042	C₄	—	4	1	no	—
1043	C₂	—	2	4	no	—
1044	C₂	—	2	4	no	—
1045	C₂	—	4	2	no	—
1046	C₂	—	4	2	no	—
1047	C₂	—	4	2	no	—
1048	C₂	—	4	2	no	—
1049	C₂	—	4	2	no	—
1050	C₂	—	8	1	no	—
1051	C₂	—	8	1	no	—
1052	C₂	—	8	1	no	—
1053	C₂	C₂×D₄²	1	1	yes	characteristic
1054	C₂	C₂×#546	1	1	yes	characteristic
1055	C₂	D₄×#41	1	1	yes	characteristic
1056	C₂	#3484	1	1	yes	characteristic
1057	C₂	#3496	1	1	yes	characteristic
1058	C₂	#3519	1	1	yes	characteristic
1059	C₂	#3534	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×#546	C₂	semidirect
2. C₂×#546	C₂	semidirect
3. C₂×D₄²	C₂	semidirect
4. C₂²×#121	C₂	semidirect
5. #2676	C₂	semidirect
6. #2673	C₂	semidirect
7. #2671	C₂	semidirect
8. #2668	C₂	semidirect
9. #2555	C₂	semidirect
10. #2543	C₂	semidirect
11. #2539	C₂	semidirect
12. #2472	C₂	semidirect
13. #2464	C₂	semidirect
14. #2449	C₂	semidirect
15. #2443	C₂	semidirect
16. #2430	C₂	semidirect
17. #2428	C₂	semidirect
18. #2425	C₂	semidirect
19. #2424	C₂	semidirect
20. #2424	C₂	semidirect
21. #2424	C₂	semidirect
22. #2410	C₂	semidirect
23. #2410	C₂	semidirect
24. #2405	C₂	semidirect
25. #2403	C₂	semidirect
26. #2403	C₂	semidirect
27. #2364	C₂	semidirect
28. #2358	C₂	semidirect
29. D₄×C₂²⋊C₄	C₂	semidirect
30. C₄×#120	C₂	semidirect
31. C₂×#386	C₂	semidirect
32. C₂²×#41	C₂²	semidirect
36. C₂³×D₄	C₂²	semidirect
37. C₂³×D₄	C₂²	semidirect
38. C₂³×D₄	C₂²	semidirect
39. C₂⁴×C₄	C₂²	semidirect
43. C₂×#127	C₂²	semidirect
44. C₂×#124	C₂²	semidirect
45. C₂×#124	C₂²	semidirect
46. C₂×#123	C₂²	semidirect
47. C₂×#123	C₂²	semidirect
48. C₂×#123	C₂²	semidirect
49. C₂×#123	C₂²	semidirect
50. C₂×#123	C₂²	semidirect
51. C₂×C₂²⋊Q₈	C₂²	semidirect
52. C₂×C₂²⋊Q₈	C₂²	semidirect
57. C₂×#121	C₂²	semidirect
58. C₂×#121	C₂²	semidirect
59. C₂×#121	C₂²	semidirect
60. C₂×#121	C₂²	semidirect
61. C₂×#121	C₂²	semidirect
62. C₂×#121	C₂²	semidirect
63. C₂×#121	C₂²	semidirect
64. C₂×#121	C₂²	semidirect
65. C₂×#121	C₂²	semidirect
66. C₂×#121	C₂²	semidirect
67. C₂×#121	C₂²	semidirect
68. C₂×#121	C₂²	semidirect
69. C₂×#121	C₂²	semidirect
70. C₂×#121	C₂²	semidirect
71. C₂×#121	C₂²	semidirect
75. C₂×#120	C₂²	semidirect
76. C₂×#120	C₂²	semidirect
77. C₂×#120	C₂²	semidirect
78. C₂×#120	C₂²	semidirect
79. C₂×#120	C₂²	semidirect
80. C₂×#120	C₂²	semidirect
81. C₂×#120	C₂²	semidirect
82. C₂×#120	C₂²	semidirect
84. C₂×C₄×D₄	C₂²	semidirect
85. C₂×C₄×D₄	C₂²	semidirect
86. C₂×C₄×D₄	C₂²	semidirect
87. C₂×C₄×D₄	C₂²	semidirect
88. C₂×C₄×D₄	C₂²	semidirect
89. C₂×C₄×D₄	C₂²	semidirect
90. C₂×C₄×D₄	C₂²	semidirect
91. C₂²×C₄⋊C₄	C₂²	semidirect
92. C₂²×C₂²⋊C₄	C₂²	semidirect
93. C₂²×C₂²⋊C₄	C₂²	semidirect
94. C₂²×C₂²⋊C₄	C₂²	semidirect
95. C₂²×C₂²⋊C₄	C₂²	semidirect
96. C₂²×C₂²⋊C₄	C₂²	semidirect
97. C₂²×C₂²⋊C₄	C₂²	semidirect
98. C₂²×C₂²⋊C₄	C₂²	semidirect
99. #399	C₂²	semidirect
100. #399	C₂²	semidirect
101. #398	C₂²	semidirect
102. #398	C₂²	semidirect
103. #397	C₂²	semidirect
104. #397	C₂²	semidirect
105. #396	C₂²	semidirect
106. #396	C₂²	semidirect
107. #395	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. #394	C₂²	semidirect
117. #394	C₂²	semidirect
118. #394	C₂²	semidirect
119. #393	C₂²	semidirect
120. #392	C₂²	semidirect
121. #392	C₂²	semidirect
122. #392	C₂²	semidirect
123. #392	C₂²	semidirect
124. #392	C₂²	semidirect
125. #392	C₂²	semidirect
126. #392	C₂²	semidirect
127. #392	C₂²	semidirect
128. #392	C₂²	semidirect
129. #392	C₂²	semidirect
130. #392	C₂²	semidirect
131. #390	C₂²	semidirect
132. #390	C₂²	semidirect
133. #390	C₂²	semidirect
134. #390	C₂²	semidirect
135. #390	C₂²	semidirect
136. #389	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. #387	C₂²	semidirect
144. #387	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. #386	C₂²	semidirect
160. #386	C₂²	semidirect
161. #386	C₂²	semidirect
162. #386	C₂²	semidirect
163. #386	C₂²	semidirect
164. #386	C₂²	semidirect
165. #386	C₂²	semidirect
166. #386	C₂²	semidirect
167. #386	C₂²	semidirect
168. #386	C₂²	semidirect
169. #386	C₂²	semidirect
170. #386	C₂²	semidirect
171. #385	C₂²	semidirect
172. #385	C₂²	semidirect
173. #385	C₂²	semidirect
174. #385	C₂²	semidirect
175. #385	C₂²	semidirect
176. #385	C₂²	semidirect
177. #385	C₂²	semidirect
178. #385	C₂²	semidirect
179. #380	C₂²	semidirect
180. #379	C₂²	semidirect
181. #379	C₂²	semidirect
182. #379	C₂²	semidirect
183. #379	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. C₄×C₂²⋊C₄	C₂²	semidirect
189. C₂×#95	C₂²	semidirect
190. C₂×#95	C₂²	semidirect
295. #121	D₄	semidirect
306. #120	D₄	semidirect
565. C₂×D₄	C₂×D₄	semidirect
566. C₂×D₄	C₂×D₄	semidirect
567. C₂×D₄	C₂×D₄	semidirect
568. C₂×D₄	C₂×D₄	semidirect
569. C₂×D₄	#41	semidirect
621. C₂²×C₄	C₂×D₄	semidirect
659. C₄⋊C₄	C₂×D₄	semidirect
714. C₂²⋊C₄	C₂×D₄	semidirect
715. C₂²⋊C₄	C₂×D₄	semidirect
716. C₂²⋊C₄	C₂×D₄	semidirect
717. C₂²⋊C₄	C₂×D₄	semidirect
1014. C₂²	#546	semidirect

Maximal subgroups

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

subgroup	index
C₂×#546	2
C₂×D₄²	2
C₂²×#121	2
#2676	2
#2673	2
#2671	2
#2668	2
#2555	2
#2543	2
#2539	2
#2472	2
#2464	2
#2449	2
#2443	2
#2430	2
#2428	2
#2425	2
#2424	2
#2410	2
#2405	2
#2403	2
#2364	2
#2358	2
D₄×C₂²⋊C₄	2
C₄×#120	2
C₂×#386	2