Subgroups — #10619019

Order 640.

1032 conjugacy classes of subgroups.

The subgroup lattice has 980 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#563	C₂	1	1	yes	maximal, characteristic, complemented
2	#66067	C₂	1	1	yes	maximal, characteristic, complemented
3	#66064	C₂	1	1	yes	maximal, characteristic, complemented
4	#66061	C₂	1	1	yes	maximal, characteristic, complemented
5	#66058	C₂	1	1	yes	maximal, characteristic, complemented
6	#66044	C₂	1	1	yes	maximal, characteristic, complemented
7	#66044	C₂	1	1	yes	maximal, characteristic, complemented
8	#66043	C₂	1	1	yes	maximal, characteristic, complemented
9	#66043	C₂	1	1	yes	maximal, characteristic, complemented
10	#66042	C₂	1	1	yes	maximal, characteristic, complemented
11	#66038	C₂	1	1	yes	maximal, characteristic, complemented
12	#66038	C₂	1	1	yes	maximal, characteristic, complemented
13	#66036	C₂	1	1	yes	maximal, characteristic, complemented
14	#66030	C₂	1	1	yes	maximal, characteristic, complemented
15	#66029	C₂	1	1	yes	maximal, characteristic, complemented
16	#66026	C₂	1	1	yes	maximal, characteristic, complemented
17	#66024	C₂	1	1	yes	maximal, characteristic, complemented
18	#66012	C₂	1	1	yes	maximal, characteristic, complemented
19	#66011	C₂	1	1	yes	maximal, characteristic, complemented
20	#66001	C₂	1	1	yes	maximal, characteristic, complemented
21	#65991	C₂	1	1	yes	maximal, characteristic, complemented
22	#65990	C₂	1	1	yes	maximal, characteristic, complemented
23	#65989	C₂	1	1	yes	maximal, characteristic, complemented
24	#65981	C₂	1	1	yes	maximal, characteristic, complemented
25	#65980	C₂	1	1	yes	maximal, characteristic, complemented
26	#65979	C₂	1	1	yes	maximal, characteristic, complemented
27	#65970	C₂	1	1	yes	maximal, characteristic, complemented
28	#65967	C₂	1	1	yes	maximal, characteristic, complemented
29	#65963	C₂	1	1	yes	maximal, characteristic, complemented
30	#65961	C₂	1	1	yes	maximal, characteristic, complemented
31	D₅×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#713	C₂²	1	1	yes	characteristic
33	C₂×Q₈×D₅	C₂²	1	1	yes	characteristic
34	C₂×Q₈×D₅	C₂²	1	1	yes	characteristic, complemented
35	C₂×#711	C₂²	1	1	yes	characteristic
36	C₂×#709	C₂²	1	1	yes	characteristic, complemented
37	C₂²×C₄×D₅	C₂²	1	1	yes	characteristic
38	C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
39	C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
40	C₅×#126	C₂²	1	1	yes	characteristic
41	C₅×#126	C₂²	1	1	yes	characteristic
42	C₅×#126	C₂²	1	1	yes	characteristic, complemented
43	C₅×#126	C₂²	1	1	yes	characteristic, complemented
44	C₅×#125	C₂²	1	1	yes	characteristic, complemented
45	C₅×#125	C₂²	1	1	yes	characteristic, complemented
46	C₅×#124	C₂²	1	1	yes	characteristic
47	C₅×#123	C₂²	1	1	yes	characteristic
48	C₅×#123	C₂²	1	1	yes	characteristic
49	C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
50	C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
51	C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
52	C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
53	#4093	C₂²	1	1	yes	characteristic
54	#4093	C₂²	1	1	yes	characteristic, complemented
55	#4092	C₂²	1	1	yes	characteristic
56	#4092	C₂²	1	1	yes	characteristic
57	#4092	C₂²	1	1	yes	characteristic
58	#4092	C₂²	1	1	yes	characteristic, complemented
59	#4092	C₂²	1	1	yes	characteristic, complemented
60	#4092	C₂²	1	1	yes	characteristic, complemented
61	#4090	C₂²	1	1	yes	characteristic, complemented
62	#4085	C₂²	1	1	yes	characteristic
63	#4084	C₂²	1	1	yes	characteristic
64	#4083	C₂²	1	1	yes	characteristic
65	#4076	C₂²	1	1	yes	characteristic
66	#4076	C₂²	1	1	yes	characteristic
67	#4075	C₂²	1	1	yes	characteristic
68	C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
69	#4070	C₂²	1	1	yes	characteristic
70	C₂×#683	C₂²	1	1	yes	characteristic, complemented
71	#4044	C₂²	1	1	yes	characteristic
72	#4044	C₂²	1	1	yes	characteristic
73	#4044	C₂²	1	1	yes	characteristic
74	#4044	C₂²	1	1	yes	characteristic, complemented
75	#4044	C₂²	1	1	yes	characteristic, complemented
76	#4044	C₂²	1	1	yes	characteristic, complemented
77	#4044	C₂²	1	1	yes	characteristic, complemented
78	#4043	C₂²	1	1	yes	characteristic
79	#4043	C₂²	1	1	yes	characteristic
80	#4043	C₂²	1	1	yes	characteristic, complemented
81	#4043	C₂²	1	1	yes	characteristic, complemented
82	#4042	C₂²	1	1	yes	characteristic
83	#4042	C₂²	1	1	yes	characteristic
84	#4042	C₂²	1	1	yes	characteristic
85	#4042	C₂²	1	1	yes	characteristic
86	#4042	C₂²	1	1	yes	characteristic
87	#4042	C₂²	1	1	yes	characteristic
88	#4042	C₂²	1	1	yes	characteristic, complemented
89	#4042	C₂²	1	1	yes	characteristic, complemented
90	#4042	C₂²	1	1	yes	characteristic, complemented
91	#4042	C₂²	1	1	yes	characteristic, complemented
92	#4042	C₂²	1	1	yes	characteristic, complemented
93	#4042	C₂²	1	1	yes	characteristic, complemented
94	#4041	C₂²	1	1	yes	characteristic
95	#4041	C₂²	1	1	yes	characteristic
96	#4041	C₂²	1	1	yes	characteristic
97	#4041	C₂²	1	1	yes	characteristic
98	#4041	C₂²	1	1	yes	characteristic
99	#4041	C₂²	1	1	yes	characteristic, complemented
100	#4040	C₂²	1	1	yes	characteristic
101	#4040	C₂²	1	1	yes	characteristic
102	#4040	C₂²	1	1	yes	characteristic
103	#4040	C₂²	1	1	yes	characteristic
104	#4040	C₂²	1	1	yes	characteristic
105	#4040	C₂²	1	1	yes	characteristic, complemented
106	#4040	C₂²	1	1	yes	characteristic, complemented
107	#4040	C₂²	1	1	yes	characteristic, complemented
108	#4040	C₂²	1	1	yes	characteristic, complemented
109	#4039	C₂²	1	1	yes	characteristic
110	#4039	C₂²	1	1	yes	characteristic
111	#4039	C₂²	1	1	yes	characteristic
112	#4039	C₂²	1	1	yes	characteristic
113	#4039	C₂²	1	1	yes	characteristic
114	#4039	C₂²	1	1	yes	characteristic
115	#4039	C₂²	1	1	yes	characteristic
116	#4038	C₂²	1	1	yes	characteristic
117	#4038	C₂²	1	1	yes	characteristic, complemented
118	D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
119	D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
120	D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
121	D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
122	D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
123	#4036	C₂²	1	1	yes	characteristic, complemented
124	#4036	C₂²	1	1	yes	characteristic, complemented
125	#4036	C₂²	1	1	yes	characteristic, complemented
126	#4035	C₂²	1	1	yes	characteristic, complemented
127	#4035	C₂²	1	1	yes	characteristic, complemented
128	#4035	C₂²	1	1	yes	characteristic, complemented
129	#4035	C₂²	1	1	yes	characteristic, complemented
130	#4034	C₂²	1	1	yes	characteristic, complemented
131	#4034	C₂²	1	1	yes	characteristic, complemented
132	#4034	C₂²	1	1	yes	characteristic, complemented
133	#4033	C₂²	1	1	yes	characteristic, complemented
134	#4033	C₂²	1	1	yes	characteristic, complemented
135	#4032	C₂²	1	1	yes	characteristic
136	#4032	C₂²	1	1	yes	characteristic, complemented
137	#4032	C₂²	1	1	yes	characteristic, complemented
138	#4031	C₂²	1	1	yes	characteristic
139	#4031	C₂²	1	1	yes	characteristic
140	#4031	C₂²	1	1	yes	characteristic
141	#4031	C₂²	1	1	yes	characteristic
142	#4031	C₂²	1	1	yes	characteristic, complemented
143	#4031	C₂²	1	1	yes	characteristic, complemented
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	#4030	C₂²	1	1	yes	characteristic
149	#4030	C₂²	1	1	yes	characteristic
150	#4030	C₂²	1	1	yes	characteristic
151	#4030	C₂²	1	1	yes	characteristic, complemented
152	#4030	C₂²	1	1	yes	characteristic, complemented
153	#4029	C₂²	1	1	yes	characteristic
154	#4029	C₂²	1	1	yes	characteristic
155	#4029	C₂²	1	1	yes	characteristic
156	#4028	C₂²	1	1	yes	characteristic
157	#4028	C₂²	1	1	yes	characteristic
158	#4028	C₂²	1	1	yes	characteristic
159	#4027	C₂²	1	1	yes	characteristic
160	#4027	C₂²	1	1	yes	characteristic
161	#4027	C₂²	1	1	yes	characteristic
162	#4027	C₂²	1	1	yes	characteristic
163	#4027	C₂²	1	1	yes	characteristic
164	#4027	C₂²	1	1	yes	characteristic, complemented
165	#4027	C₂²	1	1	yes	characteristic, complemented
166	D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
167	D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
168	#4025	C₂²	1	1	yes	characteristic
169	#4025	C₂²	1	1	yes	characteristic
170	#4024	C₂²	1	1	yes	characteristic
171	#4024	C₂²	1	1	yes	characteristic
172	#4024	C₂²	1	1	yes	characteristic, complemented
173	#4024	C₂²	1	1	yes	characteristic, complemented
174	#4023	C₂²	1	1	yes	characteristic
175	#4022	C₂²	1	1	yes	characteristic
176	#4021	C₂²	1	1	yes	characteristic
177	#4021	C₂²	1	1	yes	characteristic
178	C₄×D₂₀	C₂²	1	1	yes	characteristic
179	C₄×D₂₀	C₂²	1	1	yes	characteristic
180	C₄×D₂₀	C₂²	1	1	yes	characteristic
181	C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
182	#4018	C₂²	1	1	yes	characteristic, complemented
183	#4018	C₂²	1	1	yes	characteristic, complemented
184	C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
185	C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
186	C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
187	#3541	—	5	1	no	maximal, Sylow
188	C₂³×D₅	C₂³	1	1	yes	characteristic
189	C₂×C₅×Q₈	C₂³	1	1	yes	characteristic
190	C₂×C₅×Q₈	C₂³	1	1	yes	characteristic
191	C₂×C₅×Q₈	C₂³	1	1	yes	characteristic
192	C₂×C₅×D₄	C₂³	1	1	yes	characteristic
193	C₂²×C₄×C₅	C₂³	1	1	yes	characteristic
194	C₂²×C₄×C₅	C₂³	1	1	yes	characteristic
195	C₂×C₂²⋊D₅	C₂³	1	1	yes	characteristic
196	C₂×C₂²⋊D₅	C₂³	1	1	yes	characteristic
197	C₂×C₂²⋊D₅	C₂³	1	1	yes	characteristic
198	C₂×C₂²⋊D₅	C₂³	1	1	yes	characteristic
199	C₂×C₂²⋊D₅	C₂³	1	1	yes	characteristic
200	C₂×C₂²⋊D₅	C₂³	1	1	yes	characteristic
201	C₂×C₂²⋊D₅	C₂³	1	1	yes	characteristic
202	C₂×C₂²⋊D₅	C₂³	1	1	yes	characteristic
203	C₂²×Dic₅	C₂³	1	1	yes	characteristic
204	C₂²×Dic₅	C₂³	1	1	yes	characteristic
205	C₂²×Dic₅	C₂³	1	1	yes	characteristic
206	#713	—	4	2	no	—
207	Q₈×D₅	—	4	2	no	—
208	Q₈×D₅	—	4	2	no	—
209	#711	—	4	2	no	—
210	#709	—	4	2	no	—
211	C₂×D₂₀	C₂³	1	1	yes	characteristic
212	C₂×D₂₀	C₂³	1	1	yes	characteristic
213	C₂×D₂₀	C₂³	1	1	yes	characteristic
214	C₂×D₂₀	C₂³	1	1	yes	characteristic
215	C₂×D₂₀	C₂³	1	1	yes	characteristic
216	C₂×D₂₀	C₂³	1	1	yes	characteristic
217	C₂×D₂₀	C₂³	1	1	yes	characteristic
218	C₂×D₂₀	C₂³	1	1	yes	characteristic
219	C₂×D₂₀	C₂³	1	1	yes	characteristic
220	C₂×C₄×D₅	—	4	2	no	—
221	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
222	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
223	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
224	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
225	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
226	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
227	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
228	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
229	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
230	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
231	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
232	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
233	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
234	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
235	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
236	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
237	C₂×C₄×D₅	C₂³	1	1	yes	characteristic
238	C₂×Dic₁₀	C₂³	1	1	yes	characteristic
239	C₂×Dic₁₀	C₂³	1	1	yes	characteristic
240	C₂×Dic₁₀	C₂³	1	1	yes	characteristic
241	C₂×Dic₁₀	C₂³	1	1	yes	characteristic
242	C₂×Dic₁₀	C₂³	1	1	yes	characteristic
243	C₂×Dic₁₀	C₂³	1	1	yes	characteristic
244	C₂×Dic₁₀	C₂³	1	1	yes	characteristic
245	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
262	C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
263	C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
264	C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
265	C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
266	C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
267	C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
268	C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
269	C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
271	C₄²×C₅	C₂³	1	1	yes	characteristic
272	C₄²×C₅	C₂³	1	1	yes	characteristic
273	C₄²×C₅	C₂³	1	1	yes	characteristic
274	C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
275	C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
276	C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
277	C₂²⋊Dic₅	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	#685	C₂³	1	1	yes	characteristic
286	#685	C₂³	1	1	yes	characteristic
287	#685	C₂³	1	1	yes	characteristic
288	#685	C₂³	1	1	yes	characteristic
289	#685	C₂³	1	1	yes	characteristic
290	#685	C₂³	1	1	yes	characteristic
291	#685	C₂³	1	1	yes	characteristic
292	#685	C₂³	1	1	yes	characteristic
293	#685	C₂³	1	1	yes	characteristic
294	#685	C₂³	1	1	yes	characteristic
295	#685	C₂³	1	1	yes	characteristic
296	#685	C₂³	1	1	yes	characteristic
297	#685	C₂³	1	1	yes	characteristic
298	#685	C₂³	1	1	yes	characteristic
299	#685	C₂³	1	1	yes	characteristic
300	#685	C₂³	1	1	yes	characteristic
301	#685	C₂³	1	1	yes	characteristic
302	#685	C₂³	1	1	yes	characteristic
303	#685	C₂³	1	1	yes	characteristic
304	#685	C₂³	1	1	yes	characteristic
305	#685	C₂³	1	1	yes	characteristic
306	#685	C₂³	1	1	yes	characteristic
307	#685	C₂³	1	1	yes	characteristic
308	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
309	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
310	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
311	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
312	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
313	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
314	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
315	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
316	C₄⋊Dic₅	C₂³	1	1	yes	characteristic
317	C₄⋊Dic₅	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	#683	C₂³	1	1	yes	characteristic
334	#683	C₂³	1	1	yes	characteristic
335	#683	C₂³	1	1	yes	characteristic
336	#683	C₂³	1	1	yes	characteristic
337	#683	C₂³	1	1	yes	characteristic
338	#683	C₂³	1	1	yes	characteristic
339	#683	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	C₄×Dic₅	C₂³	1	1	yes	characteristic
344	C₄×Dic₅	C₂³	1	1	yes	characteristic
345	C₄×Dic₅	C₂³	1	1	yes	characteristic
346	C₄×Dic₅	C₂³	1	1	yes	characteristic
347	C₄×Dic₅	C₂³	1	1	yes	characteristic
348	C₄×Dic₅	C₂³	1	1	yes	characteristic
349	#563	—	5	1	no	—
350	#563	D₅	1	1	yes	characteristic, complemented
351	#562	—	5	1	no	—
352	#562	—	5	1	no	—
353	#556	—	5	1	no	—
354	#554	—	5	1	no	—
355	#554	—	5	1	no	—
356	#554	—	5	1	no	—
357	#553	—	5	1	no	—
358	#553	—	5	1	no	—
359	#553	—	5	1	no	—
360	#552	—	5	1	no	—
361	D₄×Q₈	—	5	1	no	—
362	#548	—	5	1	no	—
363	#548	—	5	1	no	—
364	#547	—	5	1	no	—
365	#542	—	5	1	no	—
366	#542	—	5	1	no	—
367	#542	—	5	1	no	—
368	#541	—	5	1	no	—
369	#539	—	5	1	no	—
370	#539	—	5	1	no	—
371	#538	—	5	1	no	—
372	#538	—	5	1	no	—
373	#538	—	5	1	no	—
374	#538	—	5	1	no	—
375	#537	—	5	1	no	—
376	#536	—	5	1	no	—
377	#525	—	5	1	no	—
378	#525	—	5	1	no	—
379	C₂×C₂²⋊Q₈	—	5	1	no	—
380	C₂³×C₅	C₂⁴	1	1	yes	characteristic
381	C₂³×C₅	C₂⁴	1	1	yes	characteristic
382	C₂²×D₅	—	2	2	no	—
383	C₂²×D₅	—	4	1	no	—
384	C₂²×D₅	—	4	1	no	—
385	C₂²×D₅	C₂⁴	1	1	yes	characteristic
386	C₂²×D₅	C₂⁴	1	1	yes	characteristic
387	C₂²×D₅	C₂⁴	1	1	yes	characteristic
388	C₂²×D₅	C₂⁴	1	1	yes	characteristic
389	C₂²×D₅	C₂⁴	1	1	yes	characteristic
390	C₅×Q₈	—	4	1	no	—
391	C₅×Q₈	—	4	1	no	—
392	C₅×Q₈	—	4	1	no	—
393	C₅×D₄	—	4	1	no	—
394	C₂×C₄×C₅	—	4	1	no	—
395	C₂×C₄×C₅	—	4	1	no	—
396	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
397	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
398	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
399	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
400	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
401	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
402	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
403	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
404	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
405	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
406	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
407	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
408	C₂×C₄×C₅	C₂⁴	1	1	yes	characteristic
409	C₂²⋊D₅	—	2	2	no	—
410	C₂²⋊D₅	—	2	2	no	—
411	C₂²⋊D₅	—	4	1	no	—
412	C₂²⋊D₅	—	4	1	no	—
413	C₂²⋊D₅	—	4	1	no	—
414	C₂²⋊D₅	—	4	1	no	—
415	C₂²⋊D₅	—	4	1	no	—
416	C₂²⋊D₅	—	4	1	no	—
417	C₂×Dic₅	—	2	2	no	—
418	C₂×Dic₅	—	4	1	no	—
419	C₂×Dic₅	—	4	1	no	—
420	C₂×Dic₅	C₂⁴	1	1	yes	characteristic
421	C₂×Dic₅	C₂⁴	1	1	yes	characteristic
422	C₂×Dic₅	C₂⁴	1	1	yes	characteristic
423	C₂×Dic₅	C₂⁴	1	1	yes	characteristic
424	C₂×Dic₅	C₂⁴	1	1	yes	characteristic
425	C₂×Dic₅	C₂⁴	1	1	yes	characteristic
426	C₂×Dic₅	C₂⁴	1	1	yes	characteristic
427	C₂×Dic₅	C₂⁴	1	1	yes	characteristic
428	C₂×Dic₅	C₂⁴	1	1	yes	characteristic
429	C₂×Dic₅	C₂⁴	1	1	yes	characteristic
430	C₂×Dic₅	C₂⁴	1	1	yes	characteristic
431	D₂₀	—	2	2	no	—
432	D₂₀	—	2	2	no	—
433	D₂₀	—	2	2	no	—
434	D₂₀	—	4	1	no	—
435	D₂₀	—	4	1	no	—
436	D₂₀	—	4	1	no	—
437	D₂₀	—	4	1	no	—
438	D₂₀	—	4	1	no	—
439	D₂₀	—	4	1	no	—
440	C₄×D₅	—	2	2	no	—
441	C₄×D₅	—	2	2	no	—
442	C₄×D₅	—	2	2	no	—
443	C₄×D₅	—	2	2	no	—
444	C₄×D₅	—	4	1	no	—
445	C₄×D₅	—	4	1	no	—
446	C₄×D₅	—	4	1	no	—
447	C₄×D₅	—	4	1	no	—
448	C₄×D₅	—	4	1	no	—
449	C₄×D₅	—	4	1	no	—
450	C₄×D₅	—	4	1	no	—
451	C₄×D₅	—	4	1	no	—
452	C₄×D₅	—	4	1	no	—
453	C₄×D₅	—	4	1	no	—
454	C₄×D₅	—	4	1	no	—
455	C₄×D₅	—	4	1	no	—
456	C₄×D₅	—	4	1	no	—
457	Dic₁₀	—	2	2	no	—
458	Dic₁₀	—	2	2	no	—
459	Dic₁₀	—	2	2	no	—
460	Dic₁₀	—	4	1	no	—
461	Dic₁₀	—	4	1	no	—
462	Dic₁₀	—	4	1	no	—
463	Dic₁₀	—	4	1	no	—
464	C₂×#41	—	5	1	no	—
465	C₂×#41	—	5	1	no	—
466	C₂×#41	—	5	1	no	—
467	C₂²×Q₈	—	5	1	no	—
468	C₂²×Q₈	—	5	1	no	—
469	C₂³×C₄	—	5	1	no	—
470	C₄⋊Q₈	—	5	1	no	—
471	C₄⋊Q₈	—	5	1	no	—
472	C₄⋊Q₈	—	5	1	no	—
473	C₄⋊Q₈	—	5	1	no	—
474	C₄⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
475	C₄⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
476	#126	—	5	1	no	—
477	#126	—	5	1	no	—
478	#126	—	5	1	no	—
479	#126	—	5	1	no	—
480	#126	—	5	1	no	—
481	#126	—	5	1	no	—
482	#126	—	5	1	no	—
483	#126	—	5	1	no	—
484	#126	—	5	1	no	—
485	#126	—	5	1	no	—
486	#126	C₂×D₅	1	1	yes	characteristic
487	#126	C₂×D₅	1	1	yes	characteristic
488	#126	C₂×D₅	1	1	yes	characteristic, complemented
489	#126	C₂×D₅	1	1	yes	characteristic, complemented
490	#125	—	5	1	no	—
491	#125	—	5	1	no	—
492	#125	—	5	1	no	—
493	#125	—	5	1	no	—
494	#125	—	5	1	no	—
495	#125	—	5	1	no	—
496	#125	—	5	1	no	—
497	#125	C₂×D₅	1	1	yes	characteristic, complemented
498	#125	C₂×D₅	1	1	yes	characteristic, complemented
499	#124	—	5	1	no	—
500	#124	—	5	1	no	—
501	#124	—	5	1	no	—
502	#124	—	5	1	no	—
503	#124	—	5	1	no	—
504	#124	—	5	1	no	—
505	#124	—	5	1	no	—
506	#124	—	5	1	no	—
507	#124	—	5	1	no	—
508	#124	—	5	1	no	—
509	#124	C₂×D₅	1	1	yes	characteristic
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	#123	—	5	1	no	—
517	#123	—	5	1	no	—
518	#123	—	5	1	no	—
519	#123	—	5	1	no	—
520	#123	—	5	1	no	—
521	#123	—	5	1	no	—
522	#123	—	5	1	no	—
523	#123	—	5	1	no	—
524	#123	—	5	1	no	—
525	#123	—	5	1	no	—
526	#123	C₂×D₅	1	1	yes	characteristic
527	#123	C₂×D₅	1	1	yes	characteristic
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	—	5	1	no	—
541	C₂²⋊Q₈	—	5	1	no	—
542	C₂²⋊Q₈	—	5	1	no	—
543	C₂²⋊Q₈	—	5	1	no	—
544	C₂²⋊Q₈	—	5	1	no	—
545	C₂²⋊Q₈	—	5	1	no	—
546	C₂²⋊Q₈	—	5	1	no	—
547	C₂²⋊Q₈	—	5	1	no	—
548	C₂²⋊Q₈	—	5	1	no	—
549	C₂²⋊Q₈	—	5	1	no	—
550	C₂²⋊Q₈	—	5	1	no	—
551	C₂²⋊Q₈	—	5	1	no	—
552	C₂²⋊Q₈	—	5	1	no	—
553	C₂²⋊Q₈	—	5	1	no	—
554	C₂²⋊Q₈	—	5	1	no	—
555	C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic
556	C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic
557	C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
558	C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
559	#121	—	5	1	no	—
560	#121	—	5	1	no	—
561	#121	—	5	1	no	—
562	#121	—	5	1	no	—
563	#121	—	5	1	no	—
564	#121	—	5	1	no	—
565	#121	—	5	1	no	—
566	#121	—	5	1	no	—
567	#121	—	5	1	no	—
568	#121	—	5	1	no	—
569	#121	—	5	1	no	—
570	#121	—	5	1	no	—
571	#121	—	5	1	no	—
572	#121	—	5	1	no	—
573	#121	—	5	1	no	—
574	#121	—	5	1	no	—
575	#121	—	5	1	no	—
576	#121	—	5	1	no	—
577	#121	—	5	1	no	—
578	#120	—	5	1	no	—
579	#120	—	5	1	no	—
580	#120	—	5	1	no	—
581	#120	—	5	1	no	—
582	C₄×Q₈	—	5	1	no	—
583	C₄×Q₈	—	5	1	no	—
584	C₄×Q₈	—	5	1	no	—
585	C₄×Q₈	—	5	1	no	—
586	C₄×Q₈	—	5	1	no	—
587	C₄×D₄	—	5	1	no	—
588	C₄×D₄	—	5	1	no	—
589	C₄×D₄	—	5	1	no	—
590	C₄×D₄	—	5	1	no	—
591	C₄×D₄	—	5	1	no	—
592	C₄×D₄	—	5	1	no	—
593	C₄×D₄	—	5	1	no	—
594	C₄×D₄	—	5	1	no	—
595	C₄×D₄	—	5	1	no	—
596	C₄×D₄	—	5	1	no	—
597	C₄×D₄	—	5	1	no	—
598	C₄×D₄	—	5	1	no	—
599	C₄×D₄	—	5	1	no	—
600	C₄×D₄	—	5	1	no	—
601	C₄×D₄	—	5	1	no	—
602	C₄×D₄	—	5	1	no	—
603	C₄×D₄	—	5	1	no	—
604	C₄×D₄	—	5	1	no	—
605	C₄×D₄	—	5	1	no	—
606	#117	—	5	1	no	—
607	#117	—	5	1	no	—
608	#117	—	5	1	no	—
609	#117	—	5	1	no	—
610	#117	—	5	1	no	—
611	C₂×C₄⋊C₄	—	5	1	no	—
612	C₂×C₄⋊C₄	—	5	1	no	—
613	C₂×C₄⋊C₄	—	5	1	no	—
614	C₂×C₄⋊C₄	—	5	1	no	—
615	C₂×C₄⋊C₄	—	5	1	no	—
616	C₂×C₄⋊C₄	—	5	1	no	—
617	C₂×C₂²⋊C₄	—	5	1	no	—
618	C₂×C₂²⋊C₄	—	5	1	no	—
619	C₂²×C₅	—	2	1	no	—
620	C₂²×C₅	—	2	1	no	—
621	C₂²×C₅	—	2	1	no	—
622	C₂²×C₅	—	2	1	no	—
623	C₂²×C₅	—	2	1	no	—
624	C₂²×C₅	—	2	1	no	—
625	C₂²×C₅	C₂⁵	1	1	yes	characteristic
626	C₂×D₅	—	2	1	no	—
627	C₂×D₅	—	2	1	no	—
628	C₂×D₅	—	2	1	no	—
629	C₂×D₅	—	2	1	no	—
630	C₂×D₅	—	2	1	no	—
631	C₂×D₅	—	2	1	no	—
632	C₂×D₅	—	2	1	no	—
633	C₂×D₅	—	2	1	no	—
634	C₂×D₅	—	2	1	no	—
635	C₂×D₅	—	2	1	no	—
636	C₂×D₅	—	2	1	no	—
637	C₂×D₅	—	2	1	no	—
638	C₂×D₅	—	2	1	no	—
639	C₂×D₅	—	2	1	no	—
640	C₂×D₅	—	4	4	no	—
641	C₂×D₅	2₋¹⁺⁴	1	2	yes	—
642	C₄×C₅	—	2	1	no	—
643	C₄×C₅	—	2	1	no	—
644	C₄×C₅	—	2	1	no	—
645	C₄×C₅	—	2	1	no	—
646	C₄×C₅	—	2	1	no	—
647	C₄×C₅	—	2	1	no	—
648	C₄×C₅	—	2	1	no	—
649	C₄×C₅	—	2	1	no	—
650	C₄×C₅	—	2	1	no	—
651	C₄×C₅	—	2	1	no	—
652	C₄×C₅	—	2	1	no	—
653	C₄×C₅	—	2	1	no	—
654	C₄×C₅	—	2	1	no	—
655	Dic₅	—	2	1	no	—
656	Dic₅	—	2	1	no	—
657	Dic₅	—	2	1	no	—
658	Dic₅	—	2	1	no	—
659	Dic₅	—	2	1	no	—
660	Dic₅	—	2	1	no	—
661	Dic₅	—	2	1	no	—
662	Dic₅	—	2	1	no	—
663	Dic₅	—	2	1	no	—
664	Dic₅	—	2	1	no	—
665	Dic₅	H(5,𝔽₂)	1	2	yes	—
666	C₂⁴	—	5	1	no	—
667	#41	—	20	2	no	—
668	#41	—	20	2	no	—
669	#41	—	20	2	no	—
670	C₂×Q₈	—	5	1	no	—
671	C₂×Q₈	—	5	1	no	—
672	C₂×Q₈	—	5	1	no	—
673	C₂×Q₈	—	5	1	no	—
674	C₂×Q₈	—	5	1	no	—
675	C₂×Q₈	—	5	1	no	—
676	C₂×Q₈	—	5	1	no	—
677	C₂×Q₈	—	20	2	no	—
678	C₂×Q₈	—	20	2	no	—
679	C₂×Q₈	C₂²×D₅	1	1	yes	characteristic
680	C₂×Q₈	C₂²×D₅	1	1	yes	characteristic
681	C₂×Q₈	C₂²×D₅	1	1	yes	characteristic
682	C₂×D₄	—	5	1	no	—
683	C₂×D₄	—	5	1	no	—
684	C₂×D₄	—	5	1	no	—
685	C₂×D₄	—	5	1	no	—
686	C₂×D₄	—	5	1	no	—
687	C₂×D₄	—	5	1	no	—
688	C₂×D₄	—	5	1	no	—
689	C₂×D₄	—	5	1	no	—
690	C₂×D₄	—	5	1	no	—
691	C₂×D₄	—	5	1	no	—
692	C₂×D₄	—	5	1	no	—
693	C₂×D₄	—	5	1	no	—
694	C₂×D₄	—	5	1	no	—
695	C₂×D₄	—	5	1	no	—
696	C₂×D₄	—	5	1	no	—
697	C₂×D₄	—	5	1	no	—
698	C₂×D₄	—	5	1	no	—
699	C₂×D₄	C₂²×D₅	1	1	yes	characteristic
700	C₂²×C₄	—	5	1	no	—
701	C₂²×C₄	—	5	1	no	—
702	C₂²×C₄	—	5	1	no	—
703	C₂²×C₄	—	5	1	no	—
704	C₂²×C₄	—	5	1	no	—
705	C₂²×C₄	—	5	1	no	—
706	C₂²×C₄	—	5	1	no	—
707	C₂²×C₄	—	5	1	no	—
708	C₂²×C₄	—	5	1	no	—
709	C₂²×C₄	—	5	1	no	—
710	C₂²×C₄	—	5	1	no	—
711	C₂²×C₄	—	5	1	no	—
712	C₂²×C₄	—	5	1	no	—
713	C₂²×C₄	—	5	1	no	—
714	C₂²×C₄	—	5	1	no	—
715	C₂²×C₄	—	5	1	no	—
716	C₂²×C₄	—	5	1	no	—
717	C₂²×C₄	—	5	1	no	—
718	C₂²×C₄	—	5	1	no	—
719	C₂²×C₄	—	5	1	no	—
720	C₂²×C₄	—	20	2	no	—
721	C₂²×C₄	C₂²×D₅	1	1	yes	characteristic
722	C₂²×C₄	C₂²×D₅	1	1	yes	characteristic
723	C₄⋊C₄	—	5	1	no	—
724	C₄⋊C₄	—	5	1	no	—
725	C₄⋊C₄	—	5	1	no	—
726	C₄⋊C₄	—	5	1	no	—
727	C₄⋊C₄	—	5	1	no	—
728	C₄⋊C₄	—	5	1	no	—
729	C₄⋊C₄	—	5	1	no	—
730	C₄⋊C₄	—	5	1	no	—
731	C₄⋊C₄	—	5	1	no	—
732	C₄⋊C₄	—	5	1	no	—
733	C₄⋊C₄	—	5	1	no	—
734	C₄⋊C₄	—	5	1	no	—
735	C₄⋊C₄	—	5	1	no	—
736	C₄⋊C₄	—	5	1	no	—
737	C₄⋊C₄	—	5	1	no	—
738	C₄⋊C₄	—	5	1	no	—
739	C₄⋊C₄	—	5	1	no	—
740	C₄⋊C₄	—	5	1	no	—
741	C₄⋊C₄	—	5	1	no	—
742	C₄⋊C₄	—	5	1	no	—
743	C₄⋊C₄	—	5	1	no	—
744	C₄⋊C₄	—	5	1	no	—
745	C₄⋊C₄	—	5	1	no	—
746	C₄⋊C₄	—	5	1	no	—
747	C₄⋊C₄	—	5	1	no	—
748	C₄⋊C₄	—	5	1	no	—
749	C₄⋊C₄	—	5	1	no	—
750	C₄⋊C₄	—	5	1	no	—
751	C₄⋊C₄	—	5	1	no	—
752	C₄⋊C₄	—	5	1	no	—
753	C₄⋊C₄	—	5	1	no	—
754	C₄⋊C₄	—	5	1	no	—
755	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
756	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
757	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
758	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
759	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
760	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
761	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
762	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
763	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
764	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
765	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
766	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
767	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
768	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
769	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
770	C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
771	C₂²⋊C₄	—	5	1	no	—
772	C₂²⋊C₄	—	5	1	no	—
773	C₂²⋊C₄	—	5	1	no	—
774	C₂²⋊C₄	—	5	1	no	—
775	C₂²⋊C₄	—	5	1	no	—
776	C₂²⋊C₄	—	5	1	no	—
777	C₂²⋊C₄	—	5	1	no	—
778	C₂²⋊C₄	—	5	1	no	—
779	C₂²⋊C₄	—	5	1	no	—
780	C₂²⋊C₄	—	5	1	no	—
781	C₂²⋊C₄	—	5	1	no	—
782	C₂²⋊C₄	—	5	1	no	—
783	C₂²⋊C₄	—	5	1	no	—
784	C₂²⋊C₄	—	5	1	no	—
785	C₂²⋊C₄	—	5	1	no	—
786	C₂²⋊C₄	—	5	1	no	—
787	C₂²⋊C₄	—	5	1	no	—
788	C₂²⋊C₄	—	5	1	no	—
789	C₂²⋊C₄	—	5	1	no	—
790	C₂²⋊C₄	—	5	1	no	—
791	C₂²⋊C₄	—	5	1	no	—
792	C₂²⋊C₄	—	5	1	no	—
793	C₂²⋊C₄	—	5	1	no	—
794	C₂²⋊C₄	—	5	1	no	—
795	C₂²⋊C₄	—	5	1	no	—
796	C₂²⋊C₄	—	5	1	no	—
797	C₂²⋊C₄	—	5	1	no	—
798	C₂²⋊C₄	—	5	1	no	—
799	C₂²⋊C₄	—	5	1	no	—
800	C₂²⋊C₄	—	5	1	no	—
801	C₂²⋊C₄	—	5	1	no	—
802	C₂²⋊C₄	—	5	1	no	—
803	C₂²⋊C₄	—	5	1	no	—
804	C₂²⋊C₄	—	5	1	no	—
805	C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
806	C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
807	C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
808	C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
809	C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
810	C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
811	C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
812	C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
813	C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
814	C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
815	C₄²	—	5	1	no	—
816	C₄²	—	5	1	no	—
817	C₄²	—	5	1	no	—
818	C₄²	—	5	1	no	—
819	C₄²	—	5	1	no	—
820	C₄²	—	5	1	no	—
821	C₄²	—	5	1	no	—
822	C₄²	—	5	1	no	—
823	C₄²	—	5	1	no	—
824	C₄²	C₂²×D₅	1	1	yes	characteristic
825	C₄²	C₂²×D₅	1	1	yes	characteristic
826	C₄²	C₂²×D₅	1	1	yes	characteristic
827	C₂×C₅	—	4	1	no	—
828	C₂×C₅	—	4	1	no	—
829	C₂×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
830	C₂×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
831	C₂×C₅	#585	1	1	yes	characteristic
832	D₅	—	2	2	no	—
833	D₅	—	4	1	no	—
834	D₅	—	4	1	no	—
835	D₅	—	4	1	no	—
836	D₅	—	4	1	no	—
837	C₂³	—	5	1	no	—
838	C₂³	—	5	1	no	—
839	C₂³	—	5	1	no	—
840	C₂³	—	5	1	no	—
841	C₂³	—	5	1	no	—
842	C₂³	—	10	2	no	—
843	C₂³	—	20	1	no	—
844	C₂³	—	20	1	no	—
845	C₂³	C₂³×D₅	1	1	yes	characteristic
846	C₂³	C₂³×D₅	1	1	yes	characteristic
847	Q₈	—	4	1	no	—
848	Q₈	—	4	1	no	—
849	Q₈	—	4	1	no	—
850	Q₈	—	10	2	no	—
851	Q₈	—	10	2	no	—
852	Q₈	—	10	2	no	—
853	Q₈	—	20	1	no	—
854	Q₈	—	20	1	no	—
855	Q₈	—	20	1	no	—
856	Q₈	—	20	1	no	—
857	D₄	—	4	1	no	—
858	D₄	—	10	2	no	—
859	D₄	—	10	2	no	—
860	D₄	—	10	2	no	—
861	D₄	—	10	2	no	—
862	D₄	—	10	2	no	—
863	D₄	—	20	1	no	—
864	D₄	—	20	1	no	—
865	D₄	—	20	1	no	—
866	D₄	—	20	1	no	—
867	D₄	—	20	1	no	—
868	D₄	—	20	1	no	—
869	D₄	—	20	1	no	—
870	D₄	—	20	1	no	—
871	D₄	—	20	1	no	—
872	D₄	—	20	1	no	—
873	D₄	—	20	1	no	—
874	D₄	—	20	1	no	—
875	C₂×C₄	—	4	1	no	—
876	C₂×C₄	—	4	1	no	—
877	C₂×C₄	—	5	1	no	—
878	C₂×C₄	—	5	1	no	—
879	C₂×C₄	—	5	1	no	—
880	C₂×C₄	—	5	1	no	—
881	C₂×C₄	—	5	1	no	—
882	C₂×C₄	—	5	1	no	—
883	C₂×C₄	—	5	1	no	—
884	C₂×C₄	—	5	1	no	—
885	C₂×C₄	—	5	1	no	—
886	C₂×C₄	—	5	1	no	—
887	C₂×C₄	—	5	1	no	—
888	C₂×C₄	—	10	2	no	—
889	C₂×C₄	—	10	2	no	—
890	C₂×C₄	—	10	2	no	—
891	C₂×C₄	—	10	2	no	—
892	C₂×C₄	—	10	2	no	—
893	C₂×C₄	—	20	1	no	—
894	C₂×C₄	—	20	1	no	—
895	C₂×C₄	—	20	1	no	—
896	C₂×C₄	—	20	1	no	—
897	C₂×C₄	—	20	1	no	—
898	C₂×C₄	—	20	1	no	—
899	C₂×C₄	—	20	1	no	—
900	C₂×C₄	—	20	1	no	—
901	C₂×C₄	—	20	1	no	—
902	C₂×C₄	—	20	1	no	—
903	C₂×C₄	—	20	1	no	—
904	C₂×C₄	—	20	1	no	—
905	C₂×C₄	—	20	1	no	—
906	C₂×C₄	—	20	1	no	—
907	C₂×C₄	—	20	1	no	—
908	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
909	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
910	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
911	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
912	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
913	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
914	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
915	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
916	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
917	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
918	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
919	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
920	C₂×C₄	C₂³×D₅	1	1	yes	characteristic
921	C₅	#3541	1	1	yes	characteristic, complemented, Sylow
922	C₂²	—	2	1	no	—
923	C₂²	—	2	1	no	—
924	C₂²	—	2	1	no	—
925	C₂²	—	2	1	no	—
926	C₂²	—	2	1	no	—
927	C₂²	—	2	1	no	—
928	C₂²	—	5	2	no	—
929	C₂²	—	10	1	no	—
930	C₂²	—	10	1	no	—
931	C₂²	—	10	1	no	—
932	C₂²	—	10	1	no	—
933	C₂²	—	10	1	no	—
934	C₂²	—	10	1	no	—
935	C₂²	—	10	1	no	—
936	C₂²	—	10	1	no	—
937	C₂²	—	10	1	no	—
938	C₂²	—	10	1	no	—
939	C₂²	—	10	1	no	—
940	C₂²	—	10	1	no	—
941	C₂²	—	10	1	no	—
942	C₂²	—	10	1	no	—
943	C₂²	—	20	4	no	—
944	C₂²	C₂⁴×D₅	1	1	yes	characteristic
945	C₄	—	2	1	no	—
946	C₄	—	2	1	no	—
947	C₄	—	2	1	no	—
948	C₄	—	2	1	no	—
949	C₄	—	2	1	no	—
950	C₄	—	2	1	no	—
951	C₄	—	2	1	no	—
952	C₄	—	2	1	no	—
953	C₄	—	2	1	no	—
954	C₄	—	2	1	no	—
955	C₄	—	2	1	no	—
956	C₄	—	2	1	no	—
957	C₄	—	2	1	no	—
958	C₄	—	5	2	no	—
959	C₄	—	10	1	no	—
960	C₄	—	10	1	no	—
961	C₄	—	10	1	no	—
962	C₄	—	10	1	no	—
963	C₄	—	10	1	no	—
964	C₄	—	10	1	no	—
965	C₄	—	10	1	no	—
966	C₄	—	10	1	no	—
967	C₄	—	10	1	no	—
968	C₄	—	10	1	no	—
969	C₂	—	4	1	no	—
970	C₂	—	4	1	no	—
971	C₂	—	10	2	no	—
972	C₂	—	20	1	no	—
973	C₂	—	20	1	no	—
974	C₂	—	20	1	no	—
975	C₂	—	20	1	no	—
976	C₂	D₅×H(5,𝔽₂)	1	1	yes	characteristic
977	C₂	D₅×2₋¹⁺⁴	1	1	yes	characteristic
978	C₂	#66287	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₅
commutator, socle, cosocle	C₂²×C₅	C₂⁵
Fitting	C₅×#563	C₂
hypercenter	#563	D₅
hypocenter	C₅	#3541
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #563

Complements

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

N	H ≅ G/N	type
1. C₅×#563	C₂	semidirect
2. #66067	C₂	semidirect
3. #66064	C₂	semidirect
4. #66061	C₂	semidirect
5. #66058	C₂	semidirect
6. #66044	C₂	semidirect
7. #66044	C₂	semidirect
8. #66043	C₂	semidirect
9. #66043	C₂	semidirect
10. #66042	C₂	semidirect
11. #66038	C₂	semidirect
12. #66038	C₂	semidirect
13. #66036	C₂	semidirect
14. #66030	C₂	semidirect
15. #66029	C₂	semidirect
16. #66026	C₂	semidirect
17. #66024	C₂	semidirect
18. #66012	C₂	semidirect
19. #66011	C₂	semidirect
20. #66001	C₂	semidirect
21. #65991	C₂	semidirect
22. #65990	C₂	semidirect
23. #65989	C₂	semidirect
24. #65981	C₂	semidirect
25. #65980	C₂	semidirect
26. #65979	C₂	semidirect
27. #65970	C₂	semidirect
28. #65967	C₂	semidirect
29. #65963	C₂	semidirect
30. #65961	C₂	semidirect
31. D₅×C₂²⋊Q₈	C₂	semidirect
34. C₂×Q₈×D₅	C₂²	semidirect
36. C₂×#709	C₂²	semidirect
38. C₅×C₄⋊Q₈	C₂²	semidirect
39. C₅×C₄⋊Q₈	C₂²	semidirect
42. C₅×#126	C₂²	semidirect
43. C₅×#126	C₂²	semidirect
44. C₅×#125	C₂²	semidirect
45. C₅×#125	C₂²	semidirect
51. C₅×C₂²⋊Q₈	C₂²	semidirect
52. C₅×C₂²⋊Q₈	C₂²	semidirect
54. #4093	C₂²	semidirect
58. #4092	C₂²	semidirect
59. #4092	C₂²	semidirect
60. #4092	C₂²	semidirect
61. #4090	C₂²	semidirect
70. C₂×#683	C₂²	semidirect
74. #4044	C₂²	semidirect
75. #4044	C₂²	semidirect
76. #4044	C₂²	semidirect
77. #4044	C₂²	semidirect
80. #4043	C₂²	semidirect
81. #4043	C₂²	semidirect
88. #4042	C₂²	semidirect
89. #4042	C₂²	semidirect
90. #4042	C₂²	semidirect
91. #4042	C₂²	semidirect
92. #4042	C₂²	semidirect
93. #4042	C₂²	semidirect
99. #4041	C₂²	semidirect
105. #4040	C₂²	semidirect
106. #4040	C₂²	semidirect
107. #4040	C₂²	semidirect
108. #4040	C₂²	semidirect
117. #4038	C₂²	semidirect
121. D₅×C₄⋊C₄	C₂²	semidirect
122. D₅×C₄⋊C₄	C₂²	semidirect
123. #4036	C₂²	semidirect
124. #4036	C₂²	semidirect
125. #4036	C₂²	semidirect
126. #4035	C₂²	semidirect
127. #4035	C₂²	semidirect
128. #4035	C₂²	semidirect
129. #4035	C₂²	semidirect
130. #4034	C₂²	semidirect
131. #4034	C₂²	semidirect
132. #4034	C₂²	semidirect
133. #4033	C₂²	semidirect
134. #4033	C₂²	semidirect
136. #4032	C₂²	semidirect
137. #4032	C₂²	semidirect
142. #4031	C₂²	semidirect
143. #4031	C₂²	semidirect
151. #4030	C₂²	semidirect
152. #4030	C₂²	semidirect
164. #4027	C₂²	semidirect
165. #4027	C₂²	semidirect
172. #4024	C₂²	semidirect
173. #4024	C₂²	semidirect
181. C₄×D₂₀	C₂²	semidirect
182. #4018	C₂²	semidirect
183. #4018	C₂²	semidirect
184. C₄×Dic₁₀	C₂²	semidirect
185. C₄×Dic₁₀	C₂²	semidirect
186. C₄×Dic₁₀	C₂²	semidirect
350. #563	D₅	semidirect
474. C₄⋊Q₈	C₂×D₅	semidirect
475. C₄⋊Q₈	C₂×D₅	semidirect
488. #126	C₂×D₅	semidirect
489. #126	C₂×D₅	semidirect
497. #125	C₂×D₅	semidirect
498. #125	C₂×D₅	semidirect
557. C₂²⋊Q₈	C₂×D₅	semidirect
558. C₂²⋊Q₈	C₂×D₅	semidirect
921. C₅	#3541	semidirect

Maximal subgroups

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

subgroup	index
C₅×#563	2
#66067	2
#66064	2
#66061	2
#66058	2
#66044	2
#66043	2
#66042	2
#66038	2
#66036	2
#66030	2
#66029	2
#66026	2
#66024	2
#66012	2
#66011	2
#66001	2
#65991	2
#65990	2
#65989	2
#65981	2
#65980	2
#65979	2
#65970	2
#65967	2
#65963	2
#65961	2
D₅×C₂²⋊Q₈	2
#3541	5