Subgroups — #10618419

Order 640.

932 conjugacy classes of subgroups.

The subgroup lattice has 918 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#541	C₂	1	1	yes	maximal, characteristic, complemented
2	#66069	C₂	1	1	yes	maximal, characteristic, complemented
3	#66064	C₂	1	1	yes	maximal, characteristic, complemented
4	#66046	C₂	1	1	yes	maximal, characteristic, complemented
5	#66043	C₂	1	1	yes	maximal, characteristic, complemented
6	#66043	C₂	1	1	yes	maximal, characteristic, complemented
7	#66042	C₂	1	1	yes	maximal, characteristic, complemented
8	#66041	C₂	1	1	yes	maximal, characteristic, complemented
9	#66041	C₂	1	1	yes	maximal, characteristic, complemented
10	#66041	C₂	1	1	yes	maximal, characteristic, complemented
11	#66040	C₂	1	1	yes	maximal, characteristic, complemented
12	#66031	C₂	1	1	yes	maximal, characteristic, complemented
13	#66030	C₂	1	1	yes	maximal, characteristic, complemented
14	#66029	C₂	1	1	yes	maximal, characteristic, complemented
15	#66027	C₂	1	1	yes	maximal, characteristic, complemented
16	#66026	C₂	1	1	yes	maximal, characteristic, complemented
17	#66026	C₂	1	1	yes	maximal, characteristic, complemented
18	#66026	C₂	1	1	yes	maximal, characteristic, complemented
19	#66024	C₂	1	1	yes	maximal, characteristic, complemented
20	D₅×#125	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅⋊#564	C₂	1	1	yes	maximal, characteristic, complemented
22	#65981	C₂	1	1	yes	maximal, characteristic, complemented
23	#65979	C₂	1	1	yes	maximal, characteristic, complemented
24	#65972	C₂	1	1	yes	maximal, characteristic, complemented
25	#65970	C₂	1	1	yes	maximal, characteristic, complemented
26	#65917	C₂	1	1	yes	maximal, characteristic, complemented
27	#65915	C₂	1	1	yes	maximal, characteristic, complemented
28	#65914	C₂	1	1	yes	maximal, characteristic, complemented
29	#65913	C₂	1	1	yes	maximal, characteristic, complemented
30	#65865	C₂	1	1	yes	maximal, characteristic, complemented
31	#65864	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
33	C₅×#126	C₂²	1	1	yes	characteristic
34	C₅×#126	C₂²	1	1	yes	characteristic
35	C₅×#126	C₂²	1	1	yes	characteristic
36	C₅×#126	C₂²	1	1	yes	characteristic
37	C₅×#125	C₂²	1	1	yes	characteristic
38	C₅×#125	C₂²	1	1	yes	characteristic
39	C₅×#125	C₂²	1	1	yes	characteristic
40	C₅×#125	C₂²	1	1	yes	characteristic
41	C₅×#125	C₂²	1	1	yes	characteristic
42	C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
43	C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
44	C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
45	C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
46	C₅×#117	C₂²	1	1	yes	characteristic
47	#4093	C₂²	1	1	yes	characteristic
48	#4092	C₂²	1	1	yes	characteristic
49	#4092	C₂²	1	1	yes	characteristic
50	#4092	C₂²	1	1	yes	characteristic
51	#4092	C₂²	1	1	yes	characteristic
52	#4092	C₂²	1	1	yes	characteristic
53	#4092	C₂²	1	1	yes	characteristic
54	#4090	C₂²	1	1	yes	characteristic
55	#4076	C₂²	1	1	yes	characteristic
56	#4075	C₂²	1	1	yes	characteristic
57	C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
58	C₂×#683	C₂²	1	1	yes	characteristic
59	#4044	C₂²	1	1	yes	characteristic
60	#4044	C₂²	1	1	yes	characteristic
61	#4044	C₂²	1	1	yes	characteristic
62	#4044	C₂²	1	1	yes	characteristic
63	#4044	C₂²	1	1	yes	characteristic
64	#4044	C₂²	1	1	yes	characteristic
65	#4044	C₂²	1	1	yes	characteristic
66	#4044	C₂²	1	1	yes	characteristic
67	#4044	C₂²	1	1	yes	characteristic
68	#4044	C₂²	1	1	yes	characteristic
69	#4043	C₂²	1	1	yes	characteristic
70	#4043	C₂²	1	1	yes	characteristic
71	#4043	C₂²	1	1	yes	characteristic
72	#4043	C₂²	1	1	yes	characteristic
73	#4043	C₂²	1	1	yes	characteristic
74	#4042	C₂²	1	1	yes	characteristic
75	#4042	C₂²	1	1	yes	characteristic
76	#4042	C₂²	1	1	yes	characteristic
77	#4042	C₂²	1	1	yes	characteristic
78	#4042	C₂²	1	1	yes	characteristic
79	#4042	C₂²	1	1	yes	characteristic
80	#4042	C₂²	1	1	yes	characteristic
81	#4042	C₂²	1	1	yes	characteristic
82	#4042	C₂²	1	1	yes	characteristic
83	#4042	C₂²	1	1	yes	characteristic
84	#4041	C₂²	1	1	yes	characteristic
85	#4041	C₂²	1	1	yes	characteristic
86	#4041	C₂²	1	1	yes	characteristic
87	#4041	C₂²	1	1	yes	characteristic
88	#4040	C₂²	1	1	yes	characteristic
89	#4040	C₂²	1	1	yes	characteristic
90	#4040	C₂²	1	1	yes	characteristic
91	#4040	C₂²	1	1	yes	characteristic
92	#4040	C₂²	1	1	yes	characteristic
93	#4040	C₂²	1	1	yes	characteristic
94	#4040	C₂²	1	1	yes	characteristic
95	#4040	C₂²	1	1	yes	characteristic
96	#4040	C₂²	1	1	yes	characteristic
97	#4040	C₂²	1	1	yes	characteristic
98	#4040	C₂²	1	1	yes	characteristic
99	#4039	C₂²	1	1	yes	characteristic
100	#4039	C₂²	1	1	yes	characteristic
101	#4039	C₂²	1	1	yes	characteristic
102	#4039	C₂²	1	1	yes	characteristic
103	#4039	C₂²	1	1	yes	characteristic
104	#4038	C₂²	1	1	yes	characteristic
105	#4038	C₂²	1	1	yes	characteristic
106	D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
107	D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
108	D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
109	D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
110	D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
111	D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
112	D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
113	D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
114	D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
115	#4036	C₂²	1	1	yes	characteristic
116	#4036	C₂²	1	1	yes	characteristic
117	#4036	C₂²	1	1	yes	characteristic
118	#4036	C₂²	1	1	yes	characteristic
119	#4036	C₂²	1	1	yes	characteristic
120	#4036	C₂²	1	1	yes	characteristic
121	#4036	C₂²	1	1	yes	characteristic
122	#4036	C₂²	1	1	yes	characteristic
123	#4035	C₂²	1	1	yes	characteristic
124	#4035	C₂²	1	1	yes	characteristic
125	#4035	C₂²	1	1	yes	characteristic
126	#4035	C₂²	1	1	yes	characteristic
127	#4035	C₂²	1	1	yes	characteristic
128	#4035	C₂²	1	1	yes	characteristic
129	#4035	C₂²	1	1	yes	characteristic
130	#4035	C₂²	1	1	yes	characteristic
131	#4035	C₂²	1	1	yes	characteristic
132	#4035	C₂²	1	1	yes	characteristic
133	#4035	C₂²	1	1	yes	characteristic
134	#4035	C₂²	1	1	yes	characteristic
135	#4035	C₂²	1	1	yes	characteristic
136	#4034	C₂²	1	1	yes	characteristic
137	#4033	C₂²	1	1	yes	characteristic
138	#4033	C₂²	1	1	yes	characteristic
139	#4032	C₂²	1	1	yes	characteristic
140	#4032	C₂²	1	1	yes	characteristic
141	#4032	C₂²	1	1	yes	characteristic
142	#4031	C₂²	1	1	yes	characteristic
143	#4030	C₂²	1	1	yes	characteristic
144	#4030	C₂²	1	1	yes	characteristic
145	#4030	C₂²	1	1	yes	characteristic
146	#4030	C₂²	1	1	yes	characteristic
147	#4030	C₂²	1	1	yes	characteristic
148	#4029	C₂²	1	1	yes	characteristic
149	#4029	C₂²	1	1	yes	characteristic
150	#4029	C₂²	1	1	yes	characteristic
151	#4029	C₂²	1	1	yes	characteristic
152	#4029	C₂²	1	1	yes	characteristic
153	#4027	C₂²	1	1	yes	characteristic
154	#4027	C₂²	1	1	yes	characteristic
155	#4027	C₂²	1	1	yes	characteristic
156	#4027	C₂²	1	1	yes	characteristic
157	#4027	C₂²	1	1	yes	characteristic
158	#4025	C₂²	1	1	yes	characteristic
159	#4024	C₂²	1	1	yes	characteristic
160	#4024	C₂²	1	1	yes	characteristic
161	#4024	C₂²	1	1	yes	characteristic
162	#4023	C₂²	1	1	yes	characteristic
163	#4022	C₂²	1	1	yes	characteristic
164	#4022	C₂²	1	1	yes	characteristic
165	#4022	C₂²	1	1	yes	characteristic
166	#4022	C₂²	1	1	yes	characteristic
167	#4022	C₂²	1	1	yes	characteristic
168	C₄×D₂₀	C₂²	1	1	yes	characteristic
169	C₄×D₂₀	C₂²	1	1	yes	characteristic
170	C₄×D₂₀	C₂²	1	1	yes	characteristic
171	C₄×D₂₀	C₂²	1	1	yes	characteristic
172	C₄×D₂₀	C₂²	1	1	yes	characteristic
173	C₄×D₂₀	C₂²	1	1	yes	characteristic
174	C₄×D₂₀	C₂²	1	1	yes	characteristic
175	#4018	C₂²	1	1	yes	characteristic
176	#4018	C₂²	1	1	yes	characteristic
177	#4018	C₂²	1	1	yes	characteristic
178	#4018	C₂²	1	1	yes	characteristic
179	C₄²×D₅	C₂²	1	1	yes	characteristic
180	#4016	C₂²	1	1	yes	characteristic
181	#4016	C₂²	1	1	yes	characteristic
182	#4016	C₂²	1	1	yes	characteristic
183	#4016	C₂²	1	1	yes	characteristic
184	#4015	C₂²	1	1	yes	characteristic
185	C₄×Dic₁₀	C₂²	1	1	yes	characteristic
186	C₄×Dic₁₀	C₂²	1	1	yes	characteristic
187	#3553	—	5	1	no	maximal, Sylow
188	C₂×C₅×Q₈	C₂³	1	1	yes	characteristic
189	C₂×C₅×Q₈	C₂³	1	1	yes	characteristic
190	C₂²×C₄×C₅	C₂³	1	1	yes	characteristic
191	C₂×C₂²⋊D₅	C₂³	1	1	yes	characteristic
192	C₂×C₂²⋊D₅	C₂³	1	1	yes	characteristic
193	C₂×C₂²⋊D₅	C₂³	1	1	yes	characteristic
194	C₂×C₂²⋊D₅	C₂³	1	1	yes	characteristic
195	C₂²×Dic₅	C₂³	1	1	yes	characteristic
196	C₂²×Dic₅	C₂³	1	1	yes	characteristic
197	C₂×D₂₀	C₂³	1	1	yes	characteristic
198	C₂×D₂₀	C₂³	1	1	yes	characteristic
199	C₂×D₂₀	C₂³	1	1	yes	characteristic
200	C₂×D₂₀	C₂³	1	1	yes	characteristic
201	C₂×D₂₀	C₂³	1	1	yes	characteristic
202	C₂×D₂₀	C₂³	1	1	yes	characteristic
203	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
204	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
205	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
206	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
207	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
208	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
209	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
210	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
211	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
212	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
213	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
214	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
215	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
216	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
217	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
218	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
219	C₂×Dic₁₀	C₂³	1	1	yes	characteristic
220	C₂×Dic₁₀	C₂³	1	1	yes	characteristic
221	C₂×Dic₁₀	C₂³	1	1	yes	characteristic
222	C₂×Dic₁₀	C₂³	1	1	yes	characteristic
223	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
244	C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
245	C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
246	C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
247	C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
248	C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
249	C₄²×C₅	C₂³	1	1	yes	characteristic
250	C₄²×C₅	C₂³	1	1	yes	characteristic
251	C₄²×C₅	C₂³	1	1	yes	characteristic
252	C₄²×C₅	C₂³	1	1	yes	characteristic
253	C₄²×C₅	C₂³	1	1	yes	characteristic
254	C₄²×C₅	C₂³	1	1	yes	characteristic
255	C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
256	C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
257	#685	C₂³	1	1	yes	characteristic
258	#685	C₂³	1	1	yes	characteristic
259	#685	C₂³	1	1	yes	characteristic
260	#685	C₂³	1	1	yes	characteristic
261	#685	C₂³	1	1	yes	characteristic
262	#685	C₂³	1	1	yes	characteristic
263	#685	C₂³	1	1	yes	characteristic
264	#685	C₂³	1	1	yes	characteristic
265	#685	C₂³	1	1	yes	characteristic
266	#685	C₂³	1	1	yes	characteristic
267	#685	C₂³	1	1	yes	characteristic
268	#685	C₂³	1	1	yes	characteristic
269	#685	C₂³	1	1	yes	characteristic
270	#685	C₂³	1	1	yes	characteristic
271	#685	C₂³	1	1	yes	characteristic
272	#685	C₂³	1	1	yes	characteristic
273	#685	C₂³	1	1	yes	characteristic
274	#685	C₂³	1	1	yes	characteristic
275	#685	C₂³	1	1	yes	characteristic
276	#685	C₂³	1	1	yes	characteristic
277	#685	C₂³	1	1	yes	characteristic
278	#685	C₂³	1	1	yes	characteristic
279	#685	C₂³	1	1	yes	characteristic
280	#685	C₂³	1	1	yes	characteristic
281	#685	C₂³	1	1	yes	characteristic
282	#685	C₂³	1	1	yes	characteristic
283	#685	C₂³	1	1	yes	characteristic
284	#685	C₂³	1	1	yes	characteristic
285	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
286	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
287	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
288	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
289	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
290	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
291	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
292	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
293	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
294	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
295	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
296	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
297	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
298	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
299	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
300	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
301	#683	C₂³	1	1	yes	characteristic
302	#683	C₂³	1	1	yes	characteristic
303	#683	C₂³	1	1	yes	characteristic
304	#683	C₂³	1	1	yes	characteristic
305	#683	C₂³	1	1	yes	characteristic
306	#683	C₂³	1	1	yes	characteristic
307	#683	C₂³	1	1	yes	characteristic
308	#683	C₂³	1	1	yes	characteristic
309	#683	C₂³	1	1	yes	characteristic
310	#683	C₂³	1	1	yes	characteristic
311	#683	C₂³	1	1	yes	characteristic
312	#683	C₂³	1	1	yes	characteristic
313	#683	C₂³	1	1	yes	characteristic
314	#683	C₂³	1	1	yes	characteristic
315	#683	C₂³	1	1	yes	characteristic
316	#683	C₂³	1	1	yes	characteristic
317	#683	C₂³	1	1	yes	characteristic
318	#683	C₂³	1	1	yes	characteristic
319	#683	C₂³	1	1	yes	characteristic
320	#683	C₂³	1	1	yes	characteristic
321	#683	C₂³	1	1	yes	characteristic
322	#683	C₂³	1	1	yes	characteristic
323	#683	C₂³	1	1	yes	characteristic
324	#683	C₂³	1	1	yes	characteristic
325	#683	C₂³	1	1	yes	characteristic
326	#683	C₂³	1	1	yes	characteristic
327	#683	C₂³	1	1	yes	characteristic
328	#683	C₂³	1	1	yes	characteristic
329	#683	C₂³	1	1	yes	characteristic
330	#683	C₂³	1	1	yes	characteristic
331	#683	C₂³	1	1	yes	characteristic
332	#683	C₂³	1	1	yes	characteristic
333	C₄×Dic₅	C₂³	1	1	yes	characteristic
334	C₄×Dic₅	C₂³	1	1	yes	characteristic
335	C₄×Dic₅	C₂³	1	1	yes	characteristic
336	C₄×Dic₅	C₂³	1	1	yes	characteristic
337	C₄×Dic₅	C₂³	1	1	yes	characteristic
338	C₄×Dic₅	C₂³	1	1	yes	characteristic
339	C₄×Dic₅	C₂³	1	1	yes	characteristic
340	C₄×Dic₅	C₂³	1	1	yes	characteristic
341	C₄×Dic₅	C₂³	1	1	yes	characteristic
342	C₄×Dic₅	C₂³	1	1	yes	characteristic
343	#564	—	5	1	no	—
344	#563	—	5	1	no	—
345	#563	—	5	1	no	—
346	#562	—	5	1	no	—
347	#554	—	5	1	no	—
348	#554	—	5	1	no	—
349	#554	—	5	1	no	—
350	#554	—	5	1	no	—
351	#553	—	5	1	no	—
352	#553	—	5	1	no	—
353	#553	—	5	1	no	—
354	#553	—	5	1	no	—
355	#552	—	5	1	no	—
356	#552	—	5	1	no	—
357	#552	—	5	1	no	—
358	#552	—	5	1	no	—
359	#541	—	5	1	no	—
360	#541	—	5	1	no	—
361	#541	—	5	1	no	—
362	#541	D₅	1	1	yes	characteristic, complemented
363	#539	—	5	1	no	—
364	#539	—	5	1	no	—
365	#539	—	5	1	no	—
366	#539	—	5	1	no	—
367	#539	—	5	1	no	—
368	#539	—	5	1	no	—
369	#539	—	5	1	no	—
370	#539	—	5	1	no	—
371	#529	—	5	1	no	—
372	#529	—	5	1	no	—
373	C₂×#125	—	5	1	no	—
374	C₂³×C₅	C₂⁴	1	1	yes	characteristic
375	C₂²×D₅	C₂⁴	1	1	yes	characteristic
376	C₂²×D₅	C₂⁴	1	1	yes	characteristic
377	C₂²×D₅	C₂⁴	1	1	yes	characteristic
378	C₂²×D₅	C₂⁴	1	1	yes	characteristic
379	C₅×Q₈	—	4	1	no	—
380	C₅×Q₈	—	4	1	no	—
381	C₂×C₄×C₅	—	4	1	no	—
382	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
383	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
384	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
385	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
386	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
387	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
388	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
389	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
390	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
391	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
392	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
393	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
394	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
395	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
396	C₂²⋊D₅	—	2	2	no	—
397	C₂²⋊D₅	—	4	1	no	—
398	C₂²⋊D₅	—	4	1	no	—
399	C₂²⋊D₅	—	4	1	no	—
400	C₂×Dic₅	—	4	1	no	—
401	C₂×Dic₅	—	4	1	no	—
402	C₂×Dic₅	C₂⁴	1	1	yes	characteristic
403	C₂×Dic₅	C₂⁴	1	1	yes	characteristic
404	C₂×Dic₅	C₂⁴	1	1	yes	characteristic
405	C₂×Dic₅	C₂⁴	1	1	yes	characteristic
406	C₂×Dic₅	C₂⁴	1	1	yes	characteristic
407	C₂×Dic₅	C₂⁴	1	1	yes	characteristic
408	C₂×Dic₅	C₂⁴	1	1	yes	characteristic
409	C₂×Dic₅	C₂⁴	1	1	yes	characteristic
410	C₂×Dic₅	C₂⁴	1	1	yes	characteristic
411	C₂×Dic₅	C₂⁴	1	1	yes	characteristic
412	C₂×Dic₅	C₂⁴	1	1	yes	characteristic
413	C₂×Dic₅	C₂⁴	1	1	yes	characteristic
414	D₂₀	—	2	2	no	—
415	D₂₀	—	2	2	no	—
416	D₂₀	—	2	2	no	—
417	D₂₀	—	4	1	no	—
418	D₂₀	—	4	1	no	—
419	D₂₀	—	4	1	no	—
420	C₄×D₅	—	2	2	no	—
421	C₄×D₅	—	4	1	no	—
422	C₄×D₅	—	4	1	no	—
423	C₄×D₅	—	4	1	no	—
424	C₄×D₅	—	4	1	no	—
425	C₄×D₅	—	4	1	no	—
426	C₄×D₅	—	4	1	no	—
427	C₄×D₅	—	4	1	no	—
428	C₄×D₅	—	4	1	no	—
429	C₄×D₅	—	4	1	no	—
430	C₄×D₅	—	4	1	no	—
431	C₄×D₅	—	4	1	no	—
432	C₄×D₅	—	4	1	no	—
433	C₄×D₅	—	4	1	no	—
434	C₄×D₅	—	4	1	no	—
435	C₄×D₅	—	4	1	no	—
436	Dic₁₀	—	4	1	no	—
437	Dic₁₀	—	4	1	no	—
438	Dic₁₀	—	4	1	no	—
439	Dic₁₀	—	4	1	no	—
440	C₄⋊Q₈	—	5	1	no	—
441	C₄⋊Q₈	—	5	1	no	—
442	C₄⋊Q₈	—	5	1	no	—
443	C₄⋊Q₈	C₂×D₅	1	1	yes	characteristic
444	#126	—	5	1	no	—
445	#126	—	5	1	no	—
446	#126	—	5	1	no	—
447	#126	—	5	1	no	—
448	#126	—	5	1	no	—
449	#126	—	5	1	no	—
450	#126	—	5	1	no	—
451	#126	—	5	1	no	—
452	#126	—	5	1	no	—
453	#126	—	5	1	no	—
454	#126	—	5	1	no	—
455	#126	—	5	1	no	—
456	#126	—	5	1	no	—
457	#126	—	5	1	no	—
458	#126	—	5	1	no	—
459	#126	—	5	1	no	—
460	#126	C₂×D₅	1	1	yes	characteristic
461	#126	C₂×D₅	1	1	yes	characteristic
462	#126	C₂×D₅	1	1	yes	characteristic
463	#126	C₂×D₅	1	1	yes	characteristic
464	#125	—	5	1	no	—
465	#125	—	5	1	no	—
466	#125	—	5	1	no	—
467	#125	—	5	1	no	—
468	#125	—	5	1	no	—
469	#125	—	5	1	no	—
470	#125	—	5	1	no	—
471	#125	—	5	1	no	—
472	#125	—	5	1	no	—
473	#125	—	5	1	no	—
474	#125	—	5	1	no	—
475	#125	—	5	1	no	—
476	#125	—	5	1	no	—
477	#125	—	5	1	no	—
478	#125	—	5	1	no	—
479	#125	—	5	1	no	—
480	#125	—	5	1	no	—
481	#125	—	5	1	no	—
482	#125	—	5	1	no	—
483	#125	—	5	1	no	—
484	#125	—	5	1	no	—
485	#125	—	5	1	no	—
486	#125	—	5	1	no	—
487	#125	—	5	1	no	—
488	#125	—	5	1	no	—
489	#125	C₂×D₅	1	1	yes	characteristic
490	#125	C₂×D₅	1	1	yes	characteristic
491	#125	C₂×D₅	1	1	yes	characteristic
492	#125	C₂×D₅	1	1	yes	characteristic
493	#125	C₂×D₅	1	1	yes	characteristic
494	#124	—	5	1	no	—
495	#124	—	5	1	no	—
496	#123	—	5	1	no	—
497	#123	—	5	1	no	—
498	#123	—	5	1	no	—
499	#123	—	5	1	no	—
500	#123	—	5	1	no	—
501	#123	—	5	1	no	—
502	#123	—	5	1	no	—
503	#123	—	5	1	no	—
504	#123	—	5	1	no	—
505	#123	—	5	1	no	—
506	#123	—	5	1	no	—
507	#123	—	5	1	no	—
508	#123	—	5	1	no	—
509	#123	—	5	1	no	—
510	#123	—	5	1	no	—
511	#123	—	5	1	no	—
512	#123	—	5	1	no	—
513	#123	—	5	1	no	—
514	#123	—	5	1	no	—
515	#123	—	5	1	no	—
516	C₂²⋊Q₈	—	5	1	no	—
517	C₂²⋊Q₈	—	5	1	no	—
518	C₂²⋊Q₈	—	5	1	no	—
519	C₂²⋊Q₈	—	5	1	no	—
520	C₂²⋊Q₈	—	5	1	no	—
521	C₂²⋊Q₈	—	5	1	no	—
522	C₂²⋊Q₈	—	5	1	no	—
523	C₂²⋊Q₈	—	5	1	no	—
524	C₂²⋊Q₈	—	5	1	no	—
525	C₂²⋊Q₈	—	5	1	no	—
526	C₂²⋊Q₈	—	5	1	no	—
527	C₂²⋊Q₈	—	5	1	no	—
528	C₂²⋊Q₈	—	5	1	no	—
529	C₂²⋊Q₈	—	5	1	no	—
530	C₂²⋊Q₈	—	5	1	no	—
531	C₂²⋊Q₈	—	5	1	no	—
532	C₂²⋊Q₈	—	5	1	no	—
533	C₂²⋊Q₈	—	5	1	no	—
534	C₂²⋊Q₈	—	5	1	no	—
535	C₂²⋊Q₈	—	5	1	no	—
536	C₂²⋊Q₈	—	5	1	no	—
537	C₂²⋊Q₈	—	5	1	no	—
538	C₂²⋊Q₈	—	5	1	no	—
539	C₂²⋊Q₈	—	5	1	no	—
540	C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic
541	C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic
542	#121	—	5	1	no	—
543	#121	—	5	1	no	—
544	#121	—	5	1	no	—
545	#121	—	5	1	no	—
546	#121	—	5	1	no	—
547	#121	—	5	1	no	—
548	#121	—	5	1	no	—
549	#121	—	5	1	no	—
550	#121	—	5	1	no	—
551	#121	—	5	1	no	—
552	C₄×Q₈	—	5	1	no	—
553	C₄×Q₈	—	5	1	no	—
554	C₄×Q₈	—	5	1	no	—
555	C₄×Q₈	—	5	1	no	—
556	C₄×Q₈	C₂×D₅	1	1	yes	characteristic
557	C₄×Q₈	C₂×D₅	1	1	yes	characteristic
558	C₄×D₄	—	5	1	no	—
559	C₄×D₄	—	5	1	no	—
560	C₄×D₄	—	5	1	no	—
561	C₄×D₄	—	5	1	no	—
562	C₄×D₄	—	5	1	no	—
563	C₄×D₄	—	5	1	no	—
564	C₄×D₄	—	5	1	no	—
565	C₄×D₄	—	5	1	no	—
566	C₄×D₄	—	5	1	no	—
567	C₄×D₄	—	5	1	no	—
568	C₄×D₄	—	5	1	no	—
569	C₄×D₄	—	5	1	no	—
570	C₄×D₄	—	5	1	no	—
571	C₄×D₄	—	5	1	no	—
572	C₄×D₄	—	5	1	no	—
573	C₄×D₄	—	5	1	no	—
574	C₄×D₄	—	5	1	no	—
575	C₄×D₄	—	5	1	no	—
576	#117	—	5	1	no	—
577	#117	—	5	1	no	—
578	#117	—	5	1	no	—
579	#117	—	5	1	no	—
580	#117	—	5	1	no	—
581	#117	—	5	1	no	—
582	#117	—	5	1	no	—
583	#117	C₂×D₅	1	1	yes	characteristic
584	C₂×C₄⋊C₄	—	5	1	no	—
585	C₂×C₄⋊C₄	—	5	1	no	—
586	C₂×C₄⋊C₄	—	5	1	no	—
587	C₂×C₄⋊C₄	—	5	1	no	—
588	C₂×C₄⋊C₄	—	5	1	no	—
589	C₂×C₄⋊C₄	—	5	1	no	—
590	C₂×C₄⋊C₄	—	5	1	no	—
591	C₂×C₄⋊C₄	—	5	1	no	—
592	C₂×C₄⋊C₄	—	5	1	no	—
593	C₂×C₄⋊C₄	—	5	1	no	—
594	C₂×C₄²	—	5	1	no	—
595	C₂²×C₅	—	2	1	no	—
596	C₂²×C₅	—	2	1	no	—
597	C₂²×C₅	—	2	1	no	—
598	C₂²×C₅	C₂⁵	1	1	yes	characteristic
599	C₂×D₅	—	2	1	no	—
600	C₂×D₅	—	2	1	no	—
601	C₂×D₅	—	2	1	no	—
602	C₂×D₅	—	2	1	no	—
603	C₂×D₅	—	2	1	no	—
604	C₂×D₅	—	2	1	no	—
605	C₂×D₅	—	2	1	no	—
606	C₂×D₅	—	2	1	no	—
607	C₂×D₅	—	2	1	no	—
608	C₂×D₅	—	2	1	no	—
609	C₂×D₅	—	2	1	no	—
610	C₂×D₅	2₋¹⁺⁴	1	2	yes	—
611	C₄×C₅	—	2	1	no	—
612	C₄×C₅	—	2	1	no	—
613	C₄×C₅	—	2	1	no	—
614	C₄×C₅	—	2	1	no	—
615	C₄×C₅	—	2	1	no	—
616	C₄×C₅	—	2	1	no	—
617	C₄×C₅	—	2	1	no	—
618	C₄×C₅	—	2	1	no	—
619	C₄×C₅	—	2	1	no	—
620	C₄×C₅	—	2	1	no	—
621	C₄×C₅	—	2	1	no	—
622	C₄×C₅	—	2	1	no	—
623	C₄×C₅	—	2	1	no	—
624	C₄×C₅	—	2	1	no	—
625	Dic₅	—	2	1	no	—
626	Dic₅	—	2	1	no	—
627	Dic₅	—	2	1	no	—
628	Dic₅	—	2	1	no	—
629	Dic₅	—	2	1	no	—
630	Dic₅	—	2	1	no	—
631	Dic₅	—	2	1	no	—
632	Dic₅	—	2	1	no	—
633	Dic₅	—	2	1	no	—
634	Dic₅	—	2	1	no	—
635	Dic₅	—	2	1	no	—
636	Dic₅	—	2	1	no	—
637	C₂×Q₈	—	5	1	no	—
638	C₂×Q₈	—	5	1	no	—
639	C₂×Q₈	—	5	1	no	—
640	C₂×Q₈	—	5	1	no	—
641	C₂×Q₈	C₂²×D₅	1	1	yes	characteristic
642	C₂×Q₈	C₂²×D₅	1	1	yes	characteristic
643	C₂×D₄	—	5	1	no	—
644	C₂×D₄	—	5	1	no	—
645	C₂×D₄	—	5	1	no	—
646	C₂×D₄	—	5	1	no	—
647	C₂×D₄	—	5	1	no	—
648	C₂×D₄	—	5	1	no	—
649	C₂×D₄	—	5	1	no	—
650	C₂×D₄	—	5	1	no	—
651	C₂×D₄	—	5	1	no	—
652	C₂×D₄	—	5	1	no	—
653	C₂²×C₄	—	5	1	no	—
654	C₂²×C₄	—	5	1	no	—
655	C₂²×C₄	—	5	1	no	—
656	C₂²×C₄	—	5	1	no	—
657	C₂²×C₄	—	5	1	no	—
658	C₂²×C₄	—	5	1	no	—
659	C₂²×C₄	—	5	1	no	—
660	C₂²×C₄	—	5	1	no	—
661	C₂²×C₄	—	5	1	no	—
662	C₂²×C₄	—	5	1	no	—
663	C₂²×C₄	—	5	1	no	—
664	C₂²×C₄	—	5	1	no	—
665	C₂²×C₄	—	5	1	no	—
666	C₂²×C₄	—	5	1	no	—
667	C₂²×C₄	—	5	1	no	—
668	C₂²×C₄	—	5	1	no	—
669	C₂²×C₄	—	5	1	no	—
670	C₂²×C₄	—	5	1	no	—
671	C₂²×C₄	C₂²×D₅	1	1	yes	characteristic
672	C₄⋊C₄	—	5	1	no	—
673	C₄⋊C₄	—	5	1	no	—
674	C₄⋊C₄	—	5	1	no	—
675	C₄⋊C₄	—	5	1	no	—
676	C₄⋊C₄	—	5	1	no	—
677	C₄⋊C₄	—	5	1	no	—
678	C₄⋊C₄	—	5	1	no	—
679	C₄⋊C₄	—	5	1	no	—
680	C₄⋊C₄	—	5	1	no	—
681	C₄⋊C₄	—	5	1	no	—
682	C₄⋊C₄	—	5	1	no	—
683	C₄⋊C₄	—	5	1	no	—
684	C₄⋊C₄	—	5	1	no	—
685	C₄⋊C₄	—	5	1	no	—
686	C₄⋊C₄	—	5	1	no	—
687	C₄⋊C₄	—	5	1	no	—
688	C₄⋊C₄	—	5	1	no	—
689	C₄⋊C₄	—	5	1	no	—
690	C₄⋊C₄	—	5	1	no	—
691	C₄⋊C₄	—	5	1	no	—
692	C₄⋊C₄	—	5	1	no	—
693	C₄⋊C₄	—	5	1	no	—
694	C₄⋊C₄	—	5	1	no	—
695	C₄⋊C₄	—	5	1	no	—
696	C₄⋊C₄	—	5	1	no	—
697	C₄⋊C₄	—	5	1	no	—
698	C₄⋊C₄	—	5	1	no	—
699	C₄⋊C₄	—	5	1	no	—
700	C₄⋊C₄	—	5	1	no	—
701	C₄⋊C₄	—	5	1	no	—
702	C₄⋊C₄	—	5	1	no	—
703	C₄⋊C₄	—	5	1	no	—
704	C₄⋊C₄	—	5	1	no	—
705	C₄⋊C₄	—	5	1	no	—
706	C₄⋊C₄	—	5	1	no	—
707	C₄⋊C₄	—	5	1	no	—
708	C₄⋊C₄	—	5	1	no	—
709	C₄⋊C₄	—	5	1	no	—
710	C₄⋊C₄	—	5	1	no	—
711	C₄⋊C₄	—	5	1	no	—
712	C₄⋊C₄	—	5	1	no	—
713	C₄⋊C₄	—	5	1	no	—
714	C₄⋊C₄	—	5	1	no	—
715	C₄⋊C₄	—	5	1	no	—
716	C₄⋊C₄	—	5	1	no	—
717	C₄⋊C₄	—	5	1	no	—
718	C₄⋊C₄	—	5	1	no	—
719	C₄⋊C₄	—	5	1	no	—
720	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
721	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
722	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
723	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
724	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
725	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
726	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
727	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
728	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
729	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
730	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
731	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
732	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
733	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
734	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
735	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
736	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
737	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
738	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
739	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
740	C₂²⋊C₄	—	5	1	no	—
741	C₂²⋊C₄	—	5	1	no	—
742	C₂²⋊C₄	—	5	1	no	—
743	C₂²⋊C₄	—	5	1	no	—
744	C₂²⋊C₄	—	5	1	no	—
745	C₂²⋊C₄	—	5	1	no	—
746	C₂²⋊C₄	—	5	1	no	—
747	C₂²⋊C₄	—	5	1	no	—
748	C₂²⋊C₄	—	5	1	no	—
749	C₂²⋊C₄	—	5	1	no	—
750	C₂²⋊C₄	—	5	1	no	—
751	C₂²⋊C₄	—	5	1	no	—
752	C₂²⋊C₄	—	5	1	no	—
753	C₂²⋊C₄	—	5	1	no	—
754	C₂²⋊C₄	—	5	1	no	—
755	C₂²⋊C₄	—	5	1	no	—
756	C₂²⋊C₄	—	5	1	no	—
757	C₂²⋊C₄	—	5	1	no	—
758	C₂²⋊C₄	—	5	1	no	—
759	C₂²⋊C₄	—	5	1	no	—
760	C₂²⋊C₄	—	5	1	no	—
761	C₂²⋊C₄	—	5	1	no	—
762	C₂²⋊C₄	—	5	1	no	—
763	C₂²⋊C₄	—	5	1	no	—
764	C₂²⋊C₄	—	5	1	no	—
765	C₂²⋊C₄	—	5	1	no	—
766	C₂²⋊C₄	—	5	1	no	—
767	C₂²⋊C₄	—	5	1	no	—
768	C₂²⋊C₄	—	5	1	no	—
769	C₂²⋊C₄	—	5	1	no	—
770	C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
771	C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
772	C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
773	C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
774	C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
775	C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
776	C₄²	—	5	1	no	—
777	C₄²	—	5	1	no	—
778	C₄²	—	5	1	no	—
779	C₄²	—	5	1	no	—
780	C₄²	—	5	1	no	—
781	C₄²	—	5	1	no	—
782	C₄²	—	5	1	no	—
783	C₄²	—	5	1	no	—
784	C₄²	—	5	1	no	—
785	C₄²	—	5	1	no	—
786	C₄²	C₂²×D₅	1	1	yes	characteristic
787	C₄²	C₂²×D₅	1	1	yes	characteristic
788	C₄²	C₂²×D₅	1	1	yes	characteristic
789	C₄²	C₂²×D₅	1	1	yes	characteristic
790	C₄²	C₂²×D₅	1	1	yes	characteristic
791	C₄²	C₂²×D₅	1	1	yes	characteristic
792	C₂×C₅	—	4	1	no	—
793	C₂×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
794	C₂×C₅	#585	1	1	yes	characteristic
795	C₂×C₅	#585	1	1	yes	characteristic
796	D₅	—	2	2	no	—
797	D₅	—	4	1	no	—
798	D₅	—	4	1	no	—
799	D₅	—	4	1	no	—
800	C₂³	—	5	1	no	—
801	C₂³	—	5	1	no	—
802	C₂³	—	5	1	no	—
803	C₂³	—	5	1	no	—
804	C₂³	C₂³×D₅	1	1	yes	characteristic
805	Q₈	—	4	1	no	—
806	Q₈	—	4	1	no	—
807	Q₈	—	20	1	no	—
808	Q₈	—	20	1	no	—
809	Q₈	—	20	1	no	—
810	Q₈	—	20	1	no	—
811	D₄	—	10	2	no	—
812	D₄	—	10	2	no	—
813	D₄	—	10	2	no	—
814	D₄	—	10	2	no	—
815	D₄	—	20	1	no	—
816	D₄	—	20	1	no	—
817	D₄	—	20	1	no	—
818	D₄	—	20	1	no	—
819	D₄	—	20	1	no	—
820	D₄	—	20	1	no	—
821	C₂×C₄	—	4	1	no	—
822	C₂×C₄	—	5	1	no	—
823	C₂×C₄	—	5	1	no	—
824	C₂×C₄	—	5	1	no	—
825	C₂×C₄	—	5	1	no	—
826	C₂×C₄	—	5	1	no	—
827	C₂×C₄	—	5	1	no	—
828	C₂×C₄	—	5	1	no	—
829	C₂×C₄	—	5	1	no	—
830	C₂×C₄	—	5	1	no	—
831	C₂×C₄	—	5	1	no	—
832	C₂×C₄	—	5	1	no	—
833	C₂×C₄	—	5	1	no	—
834	C₂×C₄	—	10	2	no	—
835	C₂×C₄	—	20	1	no	—
836	C₂×C₄	—	20	1	no	—
837	C₂×C₄	—	20	1	no	—
838	C₂×C₄	—	20	1	no	—
839	C₂×C₄	—	20	1	no	—
840	C₂×C₄	—	20	1	no	—
841	C₂×C₄	—	20	1	no	—
842	C₂×C₄	—	20	1	no	—
843	C₂×C₄	—	20	1	no	—
844	C₂×C₄	—	20	1	no	—
845	C₂×C₄	—	20	1	no	—
846	C₂×C₄	—	20	1	no	—
847	C₂×C₄	—	20	1	no	—
848	C₂×C₄	—	20	1	no	—
849	C₂×C₄	—	20	1	no	—
850	C₂×C₄	—	20	1	no	—
851	C₂×C₄	—	20	1	no	—
852	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
853	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
854	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
855	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
856	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
857	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
858	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
859	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
860	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
861	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
862	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
863	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
864	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
865	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
866	C₅	#3553	1	1	yes	characteristic, complemented, Sylow
867	C₂²	—	2	1	no	—
868	C₂²	—	2	1	no	—
869	C₂²	—	2	1	no	—
870	C₂²	—	5	2	no	—
871	C₂²	—	10	1	no	—
872	C₂²	—	10	1	no	—
873	C₂²	—	10	1	no	—
874	C₂²	—	10	1	no	—
875	C₂²	—	10	1	no	—
876	C₂²	—	10	1	no	—
877	C₂²	—	10	1	no	—
878	C₂²	—	10	1	no	—
879	C₂²	—	10	1	no	—
880	C₂²	—	10	1	no	—
881	C₂²	—	10	1	no	—
882	C₂²	C₂⁴×D₅	1	1	yes	characteristic
883	C₄	—	2	1	no	—
884	C₄	—	2	1	no	—
885	C₄	—	2	1	no	—
886	C₄	—	2	1	no	—
887	C₄	—	2	1	no	—
888	C₄	—	2	1	no	—
889	C₄	—	2	1	no	—
890	C₄	—	2	1	no	—
891	C₄	—	2	1	no	—
892	C₄	—	2	1	no	—
893	C₄	—	2	1	no	—
894	C₄	—	2	1	no	—
895	C₄	—	2	1	no	—
896	C₄	—	2	1	no	—
897	C₄	—	10	1	no	—
898	C₄	—	10	1	no	—
899	C₄	—	10	1	no	—
900	C₄	—	10	1	no	—
901	C₄	—	10	1	no	—
902	C₄	—	10	1	no	—
903	C₄	—	10	1	no	—
904	C₄	—	10	1	no	—
905	C₄	—	10	1	no	—
906	C₄	—	10	1	no	—
907	C₄	—	10	1	no	—
908	C₄	—	10	1	no	—
909	C₂	—	4	1	no	—
910	C₂	—	10	2	no	—
911	C₂	—	20	1	no	—
912	C₂	—	20	1	no	—
913	C₂	—	20	1	no	—
914	C₂	#66283	1	1	yes	characteristic
915	C₂	D₅×2₋¹⁺⁴	1	1	yes	characteristic
916	C₂	#66287	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₅
commutator, socle, cosocle	C₂²×C₅	C₂⁵
Fitting	C₅×#541	C₂
hypercenter	#541	D₅
hypocenter	C₅	#3553
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #541

Complements

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

N	H ≅ G/N	type
1. C₅×#541	C₂	semidirect
2. #66069	C₂	semidirect
3. #66064	C₂	semidirect
4. #66046	C₂	semidirect
5. #66043	C₂	semidirect
6. #66043	C₂	semidirect
7. #66042	C₂	semidirect
8. #66041	C₂	semidirect
9. #66041	C₂	semidirect
10. #66041	C₂	semidirect
11. #66040	C₂	semidirect
12. #66031	C₂	semidirect
13. #66030	C₂	semidirect
14. #66029	C₂	semidirect
15. #66027	C₂	semidirect
16. #66026	C₂	semidirect
17. #66026	C₂	semidirect
18. #66026	C₂	semidirect
19. #66024	C₂	semidirect
20. D₅×#125	C₂	semidirect
21. C₅⋊#564	C₂	semidirect
22. #65981	C₂	semidirect
23. #65979	C₂	semidirect
24. #65972	C₂	semidirect
25. #65970	C₂	semidirect
26. #65917	C₂	semidirect
27. #65915	C₂	semidirect
28. #65914	C₂	semidirect
29. #65913	C₂	semidirect
30. #65865	C₂	semidirect
31. #65864	C₂	semidirect
362. #541	D₅	semidirect
866. C₅	#3553	semidirect

Maximal subgroups

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

subgroup	index
C₅×#541	2
#66069	2
#66064	2
#66046	2
#66043	2
#66042	2
#66041	2
#66040	2
#66031	2
#66030	2
#66029	2
#66027	2
#66026	2
#66024	2
D₅×#125	2
C₅⋊#564	2
#65981	2
#65979	2
#65972	2
#65970	2
#65917	2
#65915	2
#65914	2
#65913	2
#65865	2
#65864	2
#3553	5