Subgroups — #12964308

Order 1280.

1626 conjugacy classes of subgroups.

The subgroup lattice has 1066 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618175	C₂	1	1	yes	maximal, characteristic
2	C₅×#2962	C₂	1	1	yes	maximal, characteristic, complemented
3	#10615061	C₂	1	1	yes	maximal, characteristic, complemented
4	#10611699	C₂	1	2	yes	maximal, complemented
5	#10611699	C₂	1	2	yes	maximal, complemented
6	#10611698	C₂	1	2	yes	maximal, complemented
7	#10611697	C₂	1	2	yes	maximal, complemented
8	#10611697	C₂	1	2	yes	maximal, complemented
9	#10611696	C₂	1	2	yes	maximal, complemented
10	#10611654	C₂	1	2	yes	maximal, complemented
11	#10611653	C₂	1	2	yes	maximal, complemented
12	#10610808	C₂	1	1	yes	maximal, characteristic, complemented
13	#10610807	C₂	1	1	yes	maximal, characteristic, complemented
14	#10610803	C₂	1	1	yes	maximal, characteristic
15	#10610803	C₂	1	1	yes	maximal, characteristic
16	#10610739	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#65129	C₂	1	1	yes	maximal, characteristic
18	#10610282	C₂	1	1	yes	maximal, characteristic
19	#10610282	C₂	1	1	yes	maximal, characteristic
20	#10610274	C₂	1	1	yes	maximal, characteristic, complemented
21	#10610273	C₂	1	1	yes	maximal, characteristic, complemented
22	#10610249	C₂	1	1	yes	maximal, characteristic
23	#10610239	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅×#533	C₂²	1	1	yes	characteristic
25	#66063	C₄	1	1	yes	characteristic
26	#66063	C₄	1	1	yes	characteristic
27	#66063	C₄	1	1	yes	characteristic
28	#66063	C₄	1	1	yes	characteristic
29	#66023	C₄	1	1	yes	characteristic
30	#66023	C₄	1	1	yes	characteristic
31	#66023	C₄	1	1	yes	characteristic
32	#66023	C₄	1	1	yes	characteristic
33	#65968	C₄	1	2	yes	—
34	#65968	C₄	1	2	yes	—
35	#65957	C₄	1	2	yes	—
36	#65957	C₄	1	2	yes	—
37	#65912	C₂²	1	2	yes	—
38	#65912	C₂²	1	2	yes	—
39	#65912	C₂²	1	2	yes	—
40	#65912	C₂²	1	2	yes	—
41	D₅×#117	C₂²	1	1	yes	characteristic
42	D₅×#117	C₂²	1	1	yes	characteristic
43	#65851	C₂²	1	1	yes	characteristic
44	#65851	C₂²	1	1	yes	characteristic
45	C₂×#4018	C₂²	1	1	yes	characteristic
46	#65804	C₂²	1	1	yes	characteristic
47	C₅×#446	C₂²	1	2	yes	complemented
48	C₅×#446	C₂²	1	2	yes	complemented
49	C₅×#446	C₂²	1	2	yes	complemented
50	C₅×C₈×Q₈	C₂²	1	2	yes	complemented
51	C₅×#424	C₂²	1	1	yes	characteristic
52	C₅×#424	C₂²	1	1	yes	characteristic
53	C₂×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
54	C₅×#405	C₂²	1	1	yes	characteristic
55	C₅×#405	C₂²	1	1	yes	characteristic
56	C₄×C₅×M₁₆	C₂²	1	1	yes	characteristic
57	#65415	C₂²	1	1	yes	characteristic
58	#65415	C₂²	1	1	yes	characteristic
59	#65411	C₂²	1	1	yes	characteristic
60	#65411	C₂²	1	1	yes	characteristic
61	#65408	C₂²	1	1	yes	characteristic
62	#65408	C₂²	1	1	yes	characteristic
63	#65407	C₂²	1	1	yes	characteristic
64	#65407	C₂²	1	1	yes	characteristic
65	C₂×#3952	C₂²	1	1	yes	characteristic
66	C₂×#3952	C₂²	1	1	yes	characteristic
67	#65391	C₂²	1	1	yes	characteristic
68	#65391	C₂²	1	1	yes	characteristic
69	#65390	C₂²	1	1	yes	characteristic
70	#65390	C₂²	1	1	yes	characteristic
71	C₂×#3947	C₂²	1	1	yes	characteristic
72	C₂×C₈×Dic₅	C₂²	1	1	yes	characteristic
73	#65313	C₂²	1	2	yes	complemented
74	#65313	C₂²	1	2	yes	complemented
75	#65313	C₂²	1	2	yes	complemented
76	Q₈×#168	C₂²	1	2	yes	complemented
77	#65288	C₂²	1	1	yes	characteristic
78	#65288	C₂²	1	1	yes	characteristic
79	#65286	C₂²	1	1	yes	characteristic
80	#65286	C₂²	1	1	yes	characteristic
81	C₂×C₄⋊#168	C₂²	1	1	yes	characteristic
82	C₄×#681	C₂²	1	1	yes	characteristic
83	#65129	C₂²	1	1	yes	characteristic
84	#65129	C₂²	1	1	yes	characteristic
85	#65129	C₂²	1	1	yes	characteristic
86	#65129	C₂²	1	1	yes	characteristic
87	#65129	C₂²	1	1	yes	characteristic
88	#65129	C₂²	1	1	yes	characteristic
89	#65129	C₂²	1	1	yes	characteristic
90	#65129	C₂²	1	1	yes	characteristic
91	#65129	C₂²	1	2	yes	—
92	#65129	C₂²	1	2	yes	—
93	#65129	C₂²	1	2	yes	—
94	#65129	C₂²	1	2	yes	—
95	#65124	C₂²	1	2	yes	—
96	#65124	C₂²	1	2	yes	—
97	#65122	C₂²	1	2	yes	—
98	#65122	C₂²	1	2	yes	—
99	#65120	C₂²	1	2	yes	complemented
100	#65120	C₂²	1	2	yes	complemented
101	#65120	C₂²	1	2	yes	complemented
102	#65119	C₂²	1	2	yes	complemented
103	#65119	C₂²	1	2	yes	complemented
104	#65119	C₂²	1	2	yes	complemented
105	#65117	C₂²	1	2	yes	complemented
106	#65117	C₂²	1	2	yes	complemented
107	#65117	C₂²	1	2	yes	complemented
108	#65117	C₂²	1	2	yes	complemented
109	#65117	C₂²	1	2	yes	complemented
110	#65117	C₂²	1	2	yes	complemented
111	#64998	C₂²	1	2	yes	—
112	#64998	C₂²	1	2	yes	—
113	#64998	C₂²	1	2	yes	—
114	#64998	C₂²	1	2	yes	—
115	#64994	C₂²	1	2	yes	—
116	#64994	C₂²	1	2	yes	—
117	#64990	C₂²	1	2	yes	complemented
118	#64990	C₂²	1	2	yes	complemented
119	#64990	C₂²	1	2	yes	complemented
120	#64990	C₂²	1	2	yes	complemented
121	#64990	C₂²	1	2	yes	complemented
122	#64990	C₂²	1	2	yes	complemented
123	#64979	C₂²	1	2	yes	—
124	#64979	C₂²	1	2	yes	—
125	#64979	C₂²	1	2	yes	—
126	#64979	C₂²	1	2	yes	—
127	#64974	C₂²	1	2	yes	—
128	#64974	C₂²	1	2	yes	—
129	#64968	C₂²	1	2	yes	complemented
130	#64968	C₂²	1	2	yes	complemented
131	#64968	C₂²	1	2	yes	complemented
132	C₈×Dic₁₀	C₂²	1	2	yes	complemented
133	C₈×Dic₁₀	C₂²	1	2	yes	complemented
134	C₈×Dic₁₀	C₂²	1	2	yes	complemented
135	#60252	—	5	1	no	maximal, Sylow
136	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
137	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
138	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
139	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
140	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
141	C₅×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
142	C₅×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
143	C₅×#125	C₂×C₄	1	1	yes	characteristic
144	C₅×#125	C₂×C₄	1	1	yes	characteristic
145	C₅×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
146	C₅×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
147	C₄×C₅×Q₈	C₂³	1	2	yes	—
148	C₄×C₅×Q₈	C₂³	1	2	yes	—
149	C₅×#117	C₂³	1	1	yes	characteristic
150	C₅×#117	C₂³	1	1	yes	characteristic
151	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
152	#4092	C₂×C₄	1	2	yes	—
153	#4092	C₂×C₄	1	2	yes	—
154	#4092	C₂×C₄	1	2	yes	—
155	#4092	C₂×C₄	1	2	yes	—
156	#4090	C₂×C₄	1	2	yes	—
157	#4090	C₂×C₄	1	2	yes	—
158	#4090	C₂×C₄	1	2	yes	—
159	#4090	C₂×C₄	1	2	yes	—
160	C₂×#685	C₂×C₄	1	1	yes	characteristic
161	C₂×#685	C₂×C₄	1	1	yes	characteristic
162	#4072	C₂³	1	1	yes	characteristic
163	#4072	C₂³	1	1	yes	characteristic
164	#4070	C₂×C₄	1	2	yes	—
165	#4070	C₂×C₄	1	2	yes	—
166	C₂×#683	C₂×C₄	1	1	yes	characteristic
167	C₂×#683	C₂×C₄	1	1	yes	characteristic
168	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
169	C₂×#681	C₂³	1	1	yes	characteristic
170	C₂×#681	C₂³	1	1	yes	characteristic
171	C₂²×#168	C₂³	1	1	yes	characteristic
172	C₂²×#168	C₂³	1	1	yes	characteristic
173	#4043	C₂×C₄	1	2	yes	—
174	#4043	C₂×C₄	1	2	yes	—
175	#4043	C₂×C₄	1	2	yes	—
176	#4043	C₂×C₄	1	2	yes	—
177	#4042	C₂×C₄	1	2	yes	—
178	#4042	C₂×C₄	1	2	yes	—
179	#4042	C₂×C₄	1	2	yes	—
180	#4042	C₂×C₄	1	2	yes	—
181	#4042	C₂×C₄	1	2	yes	—
182	#4042	C₂×C₄	1	2	yes	—
183	#4042	C₂×C₄	1	2	yes	—
184	#4042	C₂×C₄	1	2	yes	—
185	#4038	C₂×C₄	1	1	yes	characteristic
186	#4038	C₂×C₄	1	1	yes	characteristic
187	#4038	C₂×C₄	1	1	yes	characteristic
188	#4038	C₂×C₄	1	1	yes	characteristic
189	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
190	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
191	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
192	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
193	#4036	C₂×C₄	1	1	yes	characteristic
194	#4036	C₂×C₄	1	1	yes	characteristic
195	#4036	C₂×C₄	1	1	yes	characteristic
196	#4036	C₂×C₄	1	1	yes	characteristic
197	#4035	C₂×C₄	1	2	yes	—
198	#4035	C₂×C₄	1	2	yes	—
199	#4035	C₂×C₄	1	2	yes	—
200	#4035	C₂×C₄	1	2	yes	—
201	#4035	C₂×C₄	1	2	yes	—
202	#4035	C₂×C₄	1	2	yes	—
203	#4035	C₂×C₄	1	2	yes	—
204	#4035	C₂×C₄	1	2	yes	—
205	#4034	C₂×C₄	1	1	yes	characteristic
206	#4034	C₂×C₄	1	1	yes	characteristic
207	#4034	C₂×C₄	1	1	yes	characteristic
208	#4034	C₂×C₄	1	1	yes	characteristic
209	#4034	C₂×C₄	1	2	yes	—
210	#4034	C₂×C₄	1	2	yes	—
211	#4034	C₂×C₄	1	2	yes	—
212	#4034	C₂×C₄	1	2	yes	—
213	D₅×C₂²⋊C₄	C₂×C₄	1	2	yes	—
214	D₅×C₂²⋊C₄	C₂×C₄	1	2	yes	—
215	#4024	C₂×C₄	1	2	yes	—
216	#4024	C₂×C₄	1	2	yes	—
217	#4024	C₂×C₄	1	2	yes	—
218	#4024	C₂×C₄	1	2	yes	—
219	#4023	C₂×C₄	1	2	yes	—
220	#4023	C₂×C₄	1	2	yes	—
221	#4018	C₂×C₄	1	1	yes	characteristic
222	#4018	C₂×C₄	1	1	yes	characteristic
223	#4018	C₂×C₄	1	1	yes	characteristic
224	#4018	C₂×C₄	1	1	yes	characteristic
225	#4018	C₂³	1	1	yes	characteristic
226	#4018	C₂³	1	1	yes	characteristic
227	#4018	C₂³	1	1	yes	characteristic
228	#4018	C₂³	1	1	yes	characteristic
229	#4018	C₂³	1	2	yes	—
230	#4018	C₂³	1	2	yes	—
231	C₄²×D₅	C₂³	1	2	yes	—
232	C₄²×D₅	C₂³	1	2	yes	—
233	#4016	C₂×C₄	1	1	yes	characteristic
234	#4016	C₂×C₄	1	1	yes	characteristic
235	#4015	C₂×C₄	1	1	yes	characteristic
236	#4015	C₂×C₄	1	1	yes	characteristic
237	C₄×Dic₁₀	C₂³	1	2	yes	—
238	C₄×Dic₁₀	C₂³	1	2	yes	—
239	C₄×Dic₁₀	C₂³	1	2	yes	—
240	C₄×Dic₁₀	C₂³	1	2	yes	—
241	C₄×Dic₁₀	C₂³	1	2	yes	—
242	C₄×Dic₁₀	C₂³	1	2	yes	—
243	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
244	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
245	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
246	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
247	C₅×C₄⋊C₈	C₂³	1	2	yes	—
248	C₅×C₄⋊C₈	C₂³	1	2	yes	—
249	C₅×C₄⋊C₈	C₂³	1	2	yes	—
250	C₅×C₄⋊C₈	C₂³	1	2	yes	—
251	C₅×#97	C₂³	1	2	yes	—
252	C₅×#97	C₂³	1	2	yes	—
253	C₅×#97	C₂³	1	2	yes	—
254	C₄×C₅×C₈	C₂³	1	2	yes	—
255	C₄×C₅×C₈	C₂³	1	2	yes	—
256	C₄×C₅×C₈	C₂³	1	2	yes	—
257	#3952	C₂³	1	1	yes	characteristic
258	#3952	C₂³	1	1	yes	characteristic
259	#3952	C₂³	1	2	yes	—
260	#3952	C₂³	1	2	yes	—
261	#3952	C₂³	1	1	yes	characteristic
262	#3952	C₂³	1	1	yes	characteristic
263	#3952	C₂³	1	1	yes	characteristic
264	#3952	C₂³	1	1	yes	characteristic
265	#3952	C₂³	1	1	yes	characteristic
266	#3952	C₂³	1	1	yes	characteristic
267	#3952	C₂³	1	2	yes	—
268	#3952	C₂³	1	2	yes	—
269	#3947	C₂³	1	2	yes	—
270	#3947	C₂³	1	1	yes	characteristic
271	#3947	C₂³	1	1	yes	characteristic
272	#3947	C₂³	1	2	yes	—
273	#3947	C₂³	1	2	yes	—
274	#3947	C₂³	1	2	yes	—
275	#3947	C₂³	1	1	yes	characteristic
276	#3947	C₂³	1	1	yes	characteristic
277	#3946	C₂³	1	2	yes	—
278	#3946	C₂³	1	2	yes	—
279	#3946	C₂³	1	2	yes	—
280	#3946	C₂³	1	2	yes	—
281	#3946	C₂³	1	2	yes	—
282	#3946	C₂³	1	2	yes	—
283	#3946	C₂³	1	2	yes	—
284	#3946	C₂³	1	2	yes	—
285	#3946	C₂³	1	2	yes	—
286	#3946	C₂³	1	2	yes	—
287	#3946	C₂³	1	2	yes	—
288	#3946	C₂³	1	2	yes	—
289	C₈×Dic₅	C₂³	1	2	yes	—
290	C₈×Dic₅	C₂³	1	1	yes	characteristic
291	C₈×Dic₅	C₂³	1	1	yes	characteristic
292	C₈×Dic₅	C₂³	1	2	yes	—
293	C₈×Dic₅	C₂³	1	2	yes	—
294	C₈×Dic₅	C₂³	1	2	yes	—
295	C₈×Dic₅	C₂³	1	1	yes	characteristic
296	C₈×Dic₅	C₂³	1	1	yes	characteristic
297	C₄⋊#168	C₂³	1	2	yes	—
298	C₄⋊#168	C₂³	1	2	yes	—
299	C₄⋊#168	C₂³	1	2	yes	—
300	C₄⋊#168	C₂³	1	2	yes	—
301	C₄⋊#168	C₂³	1	1	yes	characteristic
302	C₄⋊#168	C₂³	1	1	yes	characteristic
303	C₄⋊#168	C₂³	1	1	yes	characteristic
304	C₄⋊#168	C₂³	1	1	yes	characteristic
305	#3935	C₂³	1	2	yes	—
306	#3935	C₂³	1	2	yes	—
307	#3935	C₂³	1	2	yes	—
308	C₄×#168	C₂³	1	2	yes	—
309	C₄×#168	C₂³	1	2	yes	—
310	C₄×#168	C₂³	1	2	yes	—
311	#3458	—	5	1	no	—
312	#2987	—	5	2	no	—
313	#2987	—	5	2	no	—
314	#2986	—	5	2	no	—
315	#2986	—	5	2	no	—
316	#2985	—	5	2	no	—
317	#2985	—	5	2	no	—
318	#2985	—	5	2	no	—
319	#2985	—	5	2	no	—
320	#2962	—	5	1	no	—
321	#2962	—	5	1	no	—
322	#2962	—	5	1	no	—
323	#2962	D₅	1	1	yes	characteristic, complemented
324	#2961	—	5	1	no	—
325	#2961	—	5	1	no	—
326	#2960	—	5	1	no	—
327	#2960	—	5	1	no	—
328	#2924	—	5	1	no	—
329	#2924	—	5	1	no	—
330	#2924	—	5	1	no	—
331	#2924	—	5	1	no	—
332	#2921	—	5	1	no	—
333	C₂×#433	—	5	1	no	—
334	C₂³×D₅	C₂²×C₄	1	1	yes	characteristic
335	C₂×C₅×Q₈	C₂²×C₄	1	2	yes	—
336	C₂×C₅×Q₈	C₂²×C₄	1	2	yes	—
337	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
338	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
339	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
340	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
341	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
342	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
343	C₂×C₄×D₅	—	2	2	no	—
344	C₂×C₄×D₅	—	2	2	no	—
345	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
346	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
347	C₂×C₄×D₅	C₂²×C₄	1	2	yes	—
348	C₂×C₄×D₅	C₂²×C₄	1	2	yes	—
349	C₂×C₄×D₅	C₂²×C₄	1	2	yes	—
350	C₂×C₄×D₅	C₂²×C₄	1	2	yes	—
351	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
352	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
353	C₂×Dic₁₀	C₂²×C₄	1	2	yes	—
354	C₂×Dic₁₀	C₂²×C₄	1	2	yes	—
355	C₂×Dic₁₀	C₂²×C₄	1	2	yes	—
356	C₂×Dic₁₀	C₂²×C₄	1	2	yes	—
357	C₂×Dic₁₀	C₂²×C₄	1	2	yes	—
358	C₂×Dic₁₀	C₂²×C₄	1	2	yes	—
359	C₅×M₁₆	—	2	2	no	—
360	C₅×M₁₆	—	2	2	no	—
361	C₂×C₅×C₈	—	2	2	no	—
362	C₂×C₅×C₈	—	2	2	no	—
363	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
364	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
365	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
366	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
367	C₂×C₅×C₈	C₂⁴	1	2	yes	—
368	C₂×C₅×C₈	C₂⁴	1	2	yes	—
369	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
370	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
371	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
372	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
373	C₅×C₄⋊C₄	C₂²×C₄	1	2	yes	—
374	C₅×C₄⋊C₄	C₂²×C₄	1	2	yes	—
375	C₅×C₄⋊C₄	C₂²×C₄	1	2	yes	—
376	C₅×C₄⋊C₄	C₂²×C₄	1	2	yes	—
377	C₅×C₄⋊C₄	C₂²×C₄	1	2	yes	—
378	C₅×C₄⋊C₄	C₂²×C₄	1	2	yes	—
379	C₅×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
380	C₅×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
381	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
382	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
383	C₄²×C₅	C₂⁴	1	1	yes	characteristic
384	C₄²×C₅	C₂⁴	1	1	yes	characteristic
385	C₄²×C₅	C₂⁴	1	2	yes	—
386	C₄²×C₅	C₂⁴	1	2	yes	—
387	C₂²⋊Dic₅	C₂²×C₄	1	2	yes	—
388	C₂²⋊Dic₅	C₂²×C₄	1	2	yes	—
389	#685	C₂²×C₄	1	1	yes	characteristic
390	#685	C₂²×C₄	1	1	yes	characteristic
391	#685	C₂²×C₄	1	1	yes	characteristic
392	#685	C₂²×C₄	1	1	yes	characteristic
393	#685	C₂²×C₄	1	1	yes	characteristic
394	#685	C₂²×C₄	1	1	yes	characteristic
395	#685	C₂²×C₄	1	1	yes	characteristic
396	#685	C₂²×C₄	1	1	yes	characteristic
397	#685	C₂²×C₄	1	2	yes	—
398	#685	C₂²×C₄	1	2	yes	—
399	#685	C₂²×C₄	1	2	yes	—
400	#685	C₂²×C₄	1	2	yes	—
401	C₄⋊Dic₅	C₂²×C₄	1	2	yes	—
402	C₄⋊Dic₅	C₂²×C₄	1	2	yes	—
403	C₄⋊Dic₅	C₂²×C₄	1	2	yes	—
404	C₄⋊Dic₅	C₂²×C₄	1	2	yes	—
405	C₄⋊Dic₅	C₂²×C₄	1	2	yes	—
406	C₄⋊Dic₅	C₂²×C₄	1	2	yes	—
407	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
408	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
409	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
410	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
411	#683	C₂²×C₄	1	2	yes	—
412	#683	C₂²×C₄	1	2	yes	—
413	#683	C₂²×C₄	1	2	yes	—
414	#683	C₂²×C₄	1	2	yes	—
415	#683	C₂²×C₄	1	2	yes	—
416	#683	C₂²×C₄	1	2	yes	—
417	#683	C₂²×C₄	1	2	yes	—
418	#683	C₂²×C₄	1	2	yes	—
419	#683	C₂²×C₄	1	2	yes	—
420	#683	C₂²×C₄	1	2	yes	—
421	#683	C₂²×C₄	1	2	yes	—
422	#683	C₂²×C₄	1	2	yes	—
423	#683	C₂²×C₄	1	1	yes	characteristic
424	#683	C₂²×C₄	1	1	yes	characteristic
425	#683	C₂²×C₄	1	1	yes	characteristic
426	#683	C₂²×C₄	1	1	yes	characteristic
427	#683	C₂²×C₄	1	1	yes	characteristic
428	#683	C₂²×C₄	1	1	yes	characteristic
429	#683	C₂²×C₄	1	1	yes	characteristic
430	#683	C₂²×C₄	1	1	yes	characteristic
431	#683	C₂²×C₄	1	2	yes	—
432	#683	C₂²×C₄	1	2	yes	—
433	#683	C₂²×C₄	1	2	yes	—
434	#683	C₂²×C₄	1	2	yes	—
435	C₄×Dic₅	C₂²×C₄	1	2	yes	—
436	C₄×Dic₅	C₂²×C₄	1	2	yes	—
437	C₄×Dic₅	C₂²×C₄	1	2	yes	—
438	C₄×Dic₅	C₂²×C₄	1	2	yes	—
439	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
440	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
441	C₄×Dic₅	C₂⁴	1	2	yes	—
442	C₄×Dic₅	C₂⁴	1	2	yes	—
443	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
444	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
445	#681	—	2	2	no	—
446	#681	—	2	2	no	—
447	C₂×#168	—	2	2	no	—
448	C₂×#168	—	2	2	no	—
449	C₂×#168	C₂⁴	1	2	yes	—
450	C₂×#168	C₂⁴	1	1	yes	characteristic
451	C₂×#168	C₂⁴	1	1	yes	characteristic
452	C₂×#168	C₂⁴	1	2	yes	—
453	C₂×#168	C₂⁴	1	1	yes	characteristic
454	C₂×#168	C₂⁴	1	1	yes	characteristic
455	#544	—	5	1	no	—
456	#544	—	5	1	no	—
457	#544	—	5	1	no	—
458	#544	—	5	1	no	—
459	#544	—	5	1	no	—
460	#544	—	5	1	no	—
461	#544	—	5	1	no	—
462	#544	—	5	1	no	—
463	#544	—	5	2	no	—
464	#544	—	5	2	no	—
465	#543	—	5	2	no	—
466	#543	—	5	2	no	—
467	#533	—	5	2	no	—
468	#533	—	5	2	no	—
469	#533	—	5	2	no	—
470	#533	—	5	2	no	—
471	#533	—	5	1	no	—
472	#533	—	5	1	no	—
473	#533	—	5	1	no	—
474	#533	C₂×D₅	1	1	yes	characteristic
475	C₂×#117	—	5	1	no	—
476	C₂×#117	—	5	1	no	—
477	C₂×#117	—	5	1	no	—
478	#446	—	5	2	no	—
479	#446	—	5	2	no	—
480	#446	—	5	2	no	—
481	#446	—	5	2	no	—
482	#446	—	5	2	no	—
483	#446	—	5	2	no	—
484	#446	—	5	2	no	—
485	#446	—	5	2	no	—
486	#446	—	5	2	no	—
487	#446	—	5	2	no	—
488	#446	—	5	2	no	—
489	#446	—	5	2	no	—
490	#446	—	5	2	no	—
491	#446	—	5	2	no	—
492	#446	—	5	2	no	—
493	#446	—	5	2	no	—
494	#446	—	5	2	no	—
495	#446	—	5	2	no	—
496	#446	—	5	2	no	—
497	#446	—	5	2	no	—
498	#446	—	5	2	no	—
499	#446	C₂×D₅	1	2	yes	complemented
500	#446	C₂×D₅	1	2	yes	complemented
501	#446	C₂×D₅	1	2	yes	complemented
502	C₈×Q₈	—	5	2	no	—
503	C₈×Q₈	—	5	2	no	—
504	C₈×Q₈	—	5	2	no	—
505	C₈×Q₈	—	5	2	no	—
506	C₈×Q₈	—	5	2	no	—
507	C₈×Q₈	—	5	2	no	—
508	C₈×Q₈	—	5	2	no	—
509	C₈×Q₈	C₂×D₅	1	2	yes	complemented
510	#433	—	5	1	no	—
511	#433	—	5	1	no	—
512	#433	—	5	1	no	—
513	#433	—	5	1	no	—
514	#433	—	5	1	no	—
515	#433	—	5	1	no	—
516	#433	—	5	1	no	—
517	#433	—	5	1	no	—
518	#433	—	5	2	no	—
519	#433	—	5	2	no	—
520	#433	—	5	2	no	—
521	#433	—	5	2	no	—
522	#433	—	5	2	no	—
523	#433	—	5	2	no	—
524	#433	—	5	2	no	—
525	#433	—	5	2	no	—
526	#433	—	5	2	no	—
527	#433	—	5	2	no	—
528	#433	—	5	2	no	—
529	#433	—	5	2	no	—
530	#432	—	5	2	no	—
531	#432	—	5	2	no	—
532	#432	—	5	2	no	—
533	#432	—	5	2	no	—
534	#431	—	5	2	no	—
535	#431	—	5	2	no	—
536	#431	—	5	2	no	—
537	#431	—	5	2	no	—
538	#424	—	5	1	no	—
539	#424	—	5	1	no	—
540	#424	—	5	1	no	—
541	#424	—	5	1	no	—
542	#424	—	5	1	no	—
543	#424	—	5	1	no	—
544	#424	C₂×D₅	1	1	yes	characteristic
545	#424	C₂×D₅	1	1	yes	characteristic
546	#423	—	5	1	no	—
547	#423	—	5	1	no	—
548	C₂×C₄⋊C₈	—	5	1	no	—
549	C₂×C₄⋊C₈	C₂×D₅	1	1	yes	characteristic
550	#407	—	5	1	no	—
551	#407	—	5	1	no	—
552	C₂×C₂²⋊C₈	—	5	1	no	—
553	C₂×C₂²⋊C₈	—	5	1	no	—
554	#405	—	5	1	no	—
555	#405	—	5	1	no	—
556	#405	—	5	1	no	—
557	#405	—	5	1	no	—
558	#405	—	5	1	no	—
559	#405	—	5	1	no	—
560	#405	C₂×D₅	1	1	yes	characteristic
561	#405	C₂×D₅	1	1	yes	characteristic
562	C₄×M₁₆	—	5	1	no	—
563	C₄×M₁₆	C₂×D₅	1	1	yes	characteristic
564	C₂×#97	—	5	1	no	—
565	C₂×C₄×C₈	—	5	1	no	—
566	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
567	C₂²×D₅	—	2	2	no	—
568	C₂²×D₅	—	4	1	no	—
569	C₂²×D₅	—	4	1	no	—
570	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
571	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
572	C₅×Q₈	—	4	2	no	—
573	C₅×Q₈	—	4	2	no	—
574	C₂×C₄×C₅	—	4	1	no	—
575	C₂×C₄×C₅	—	4	1	no	—
576	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
577	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
578	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
579	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
580	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
581	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
582	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
583	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
584	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
585	C₂×C₄×C₅	2₋¹⁺⁴	1	2	yes	—
586	C₂×C₄×C₅	2₋¹⁺⁴	1	2	yes	—
587	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
588	C₂×Dic₅	—	2	2	no	—
589	C₂×Dic₅	—	4	1	no	—
590	C₂×Dic₅	—	4	1	no	—
591	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
592	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
593	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
594	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
595	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
596	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
597	C₂×Dic₅	C₂³×C₄	1	2	yes	—
598	C₂×Dic₅	C₂³×C₄	1	2	yes	—
599	C₂×Dic₅	C₂³×C₄	1	2	yes	—
600	C₂×Dic₅	C₂³×C₄	1	2	yes	—
601	C₄×D₅	—	2	2	no	—
602	C₄×D₅	—	2	2	no	—
603	C₄×D₅	—	2	1	no	—
604	C₄×D₅	—	2	1	no	—
605	C₄×D₅	—	2	1	no	—
606	C₄×D₅	—	2	1	no	—
607	C₄×D₅	—	4	2	no	—
608	C₄×D₅	—	4	2	no	—
609	C₄×D₅	—	4	2	no	—
610	C₄×D₅	—	4	2	no	—
611	Dic₁₀	—	4	2	no	—
612	Dic₁₀	—	4	2	no	—
613	Dic₁₀	—	4	2	no	—
614	Dic₁₀	—	4	2	no	—
615	Dic₁₀	—	4	2	no	—
616	Dic₁₀	—	4	2	no	—
617	C₅×C₈	—	2	1	no	—
618	C₅×C₈	—	2	1	no	—
619	C₅×C₈	—	2	1	no	—
620	C₅×C₈	—	2	1	no	—
621	C₅×C₈	—	2	2	no	—
622	C₅×C₈	—	2	2	no	—
623	#168	—	2	1	no	—
624	#168	—	2	1	no	—
625	#168	—	2	1	no	—
626	#168	—	2	1	no	—
627	#168	—	2	2	no	—
628	#168	—	2	2	no	—
629	C₂³×C₄	—	5	1	no	—
630	C₂×M₁₆	—	5	1	no	—
631	C₂×M₁₆	—	5	1	no	—
632	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
633	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
634	C₂²×C₈	—	5	1	no	—
635	C₂²×C₈	—	5	1	no	—
636	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
637	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
638	C₄⋊Q₈	—	5	2	no	—
639	C₄⋊Q₈	—	5	2	no	—
640	C₄⋊Q₈	—	5	2	no	—
641	C₄⋊Q₈	—	5	2	no	—
642	C₄⋊Q₈	—	5	2	no	—
643	C₄⋊Q₈	—	5	2	no	—
644	C₄⋊Q₈	—	5	2	no	—
645	C₄⋊Q₈	—	5	2	no	—
646	C₄⋊Q₈	—	5	1	no	—
647	C₄⋊Q₈	—	5	1	no	—
648	C₄⋊Q₈	—	5	1	no	—
649	C₄⋊Q₈	—	5	1	no	—
650	C₄⋊Q₈	—	5	1	no	—
651	C₄⋊Q₈	—	5	1	no	—
652	C₄⋊Q₈	C₄×D₅	1	1	yes	characteristic
653	C₄⋊Q₈	C₄×D₅	1	1	yes	characteristic
654	#125	—	5	2	no	—
655	#125	—	5	2	no	—
656	#125	—	5	2	no	—
657	#125	—	5	2	no	—
658	#125	—	5	2	no	—
659	#125	—	5	2	no	—
660	#125	—	5	2	no	—
661	#125	—	5	2	no	—
662	#125	—	5	1	no	—
663	#125	—	5	1	no	—
664	#125	—	5	1	no	—
665	#125	—	5	1	no	—
666	#125	—	5	1	no	—
667	#125	—	5	1	no	—
668	#125	C₄×D₅	1	1	yes	characteristic
669	#125	C₄×D₅	1	1	yes	characteristic
670	C₂²⋊Q₈	—	5	2	no	—
671	C₂²⋊Q₈	—	5	2	no	—
672	C₂²⋊Q₈	—	5	2	no	—
673	C₂²⋊Q₈	—	5	2	no	—
674	C₂²⋊Q₈	—	5	2	no	—
675	C₂²⋊Q₈	—	5	2	no	—
676	C₂²⋊Q₈	—	5	2	no	—
677	C₂²⋊Q₈	—	5	2	no	—
678	C₂²⋊Q₈	—	5	2	no	—
679	C₂²⋊Q₈	—	5	2	no	—
680	C₂²⋊Q₈	—	5	2	no	—
681	C₂²⋊Q₈	—	5	2	no	—
682	C₂²⋊Q₈	—	5	2	no	—
683	C₂²⋊Q₈	—	5	2	no	—
684	C₂²⋊Q₈	—	5	2	no	—
685	C₂²⋊Q₈	—	5	2	no	—
686	C₂²⋊Q₈	—	5	2	no	—
687	C₂²⋊Q₈	—	5	2	no	—
688	C₂²⋊Q₈	—	5	2	no	—
689	C₂²⋊Q₈	—	5	2	no	—
690	C₂²⋊Q₈	—	5	2	no	—
691	C₂²⋊Q₈	—	5	2	no	—
692	C₂²⋊Q₈	C₄×D₅	1	2	yes	—
693	C₂²⋊Q₈	C₄×D₅	1	2	yes	—
694	C₄×Q₈	—	5	2	no	—
695	C₄×Q₈	—	5	2	no	—
696	C₄×Q₈	—	5	2	no	—
697	C₄×Q₈	—	5	2	no	—
698	C₄×Q₈	—	5	2	no	—
699	C₄×Q₈	—	5	2	no	—
700	C₄×Q₈	C₂²×D₅	1	2	yes	—
701	C₄×Q₈	C₂²×D₅	1	2	yes	—
702	#117	—	5	1	no	—
703	#117	—	5	1	no	—
704	#117	—	5	1	no	—
705	#117	—	5	1	no	—
706	#117	—	5	1	no	—
707	#117	—	5	1	no	—
708	#117	—	5	2	no	—
709	#117	—	5	2	no	—
710	#117	—	5	1	no	—
711	#117	—	5	1	no	—
712	#117	—	5	1	no	—
713	#117	—	5	1	no	—
714	#117	—	5	1	no	—
715	#117	—	5	1	no	—
716	#117	—	5	2	no	—
717	#117	—	5	2	no	—
718	#117	—	5	1	no	—
719	#117	—	5	1	no	—
720	#117	C₂²×D₅	1	1	yes	characteristic
721	#117	C₂²×D₅	1	1	yes	characteristic
722	C₂×C₄⋊C₄	—	5	1	no	—
723	C₂×C₄⋊C₄	—	5	1	no	—
724	C₂×C₄⋊C₄	—	5	1	no	—
725	C₂×C₄⋊C₄	—	5	1	no	—
726	C₂×C₄⋊C₄	—	5	1	no	—
727	C₂×C₄⋊C₄	—	5	1	no	—
728	C₂×C₂²⋊C₄	—	5	1	no	—
729	C₂×C₂²⋊C₄	—	5	1	no	—
730	C₂×C₂²⋊C₄	—	5	2	no	—
731	C₂×C₂²⋊C₄	—	5	2	no	—
732	C₂×C₄²	—	5	1	no	—
733	C₂×C₄²	—	5	2	no	—
734	C₂×C₄²	—	5	2	no	—
735	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
736	C₄⋊C₈	—	5	2	no	—
737	C₄⋊C₈	—	5	2	no	—
738	C₄⋊C₈	—	5	2	no	—
739	C₄⋊C₈	—	5	2	no	—
740	C₄⋊C₈	—	5	2	no	—
741	C₄⋊C₈	—	5	2	no	—
742	C₄⋊C₈	—	5	2	no	—
743	C₄⋊C₈	—	5	2	no	—
744	C₄⋊C₈	—	5	2	no	—
745	C₄⋊C₈	—	5	2	no	—
746	C₄⋊C₈	—	5	2	no	—
747	C₄⋊C₈	—	5	2	no	—
748	C₄⋊C₈	—	5	1	no	—
749	C₄⋊C₈	—	5	1	no	—
750	C₄⋊C₈	—	5	1	no	—
751	C₄⋊C₈	—	5	1	no	—
752	C₄⋊C₈	—	5	2	no	—
753	C₄⋊C₈	—	5	2	no	—
754	C₄⋊C₈	—	5	2	no	—
755	C₄⋊C₈	—	5	2	no	—
756	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
757	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
758	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
759	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
760	C₄⋊C₈	C₂²×D₅	1	2	yes	—
761	C₄⋊C₈	C₂²×D₅	1	2	yes	—
762	C₄⋊C₈	C₂²×D₅	1	2	yes	—
763	C₄⋊C₈	C₂²×D₅	1	2	yes	—
764	C₂²⋊C₈	—	5	1	no	—
765	C₂²⋊C₈	—	5	1	no	—
766	C₂²⋊C₈	—	5	1	no	—
767	C₂²⋊C₈	—	5	1	no	—
768	C₂²⋊C₈	—	5	1	no	—
769	C₂²⋊C₈	—	5	1	no	—
770	C₂²⋊C₈	—	5	1	no	—
771	C₂²⋊C₈	—	5	1	no	—
772	C₂²⋊C₈	—	5	2	no	—
773	C₂²⋊C₈	—	5	2	no	—
774	C₂²⋊C₈	—	5	2	no	—
775	C₂²⋊C₈	—	5	2	no	—
776	#97	—	5	1	no	—
777	#97	—	5	1	no	—
778	#97	—	5	1	no	—
779	#97	—	5	1	no	—
780	#97	—	5	2	no	—
781	#97	—	5	2	no	—
782	#97	—	5	2	no	—
783	#97	—	5	2	no	—
784	#97	—	5	2	no	—
785	#97	—	5	2	no	—
786	#97	—	5	2	no	—
787	#97	C₂²×D₅	1	2	yes	—
788	#97	C₂²×D₅	1	2	yes	—
789	#97	C₂²×D₅	1	2	yes	—
790	C₄×C₈	—	5	1	no	—
791	C₄×C₈	—	5	1	no	—
792	C₄×C₈	—	5	1	no	—
793	C₄×C₈	—	5	1	no	—
794	C₄×C₈	—	5	2	no	—
795	C₄×C₈	—	5	2	no	—
796	C₄×C₈	—	5	2	no	—
797	C₄×C₈	—	5	2	no	—
798	C₄×C₈	—	5	2	no	—
799	C₄×C₈	—	5	2	no	—
800	C₄×C₈	—	5	2	no	—
801	C₄×C₈	C₂²×D₅	1	2	yes	—
802	C₄×C₈	C₂²×D₅	1	2	yes	—
803	C₄×C₈	C₂²×D₅	1	2	yes	—
804	C₂²×C₅	—	2	1	no	—
805	C₂²×C₅	—	2	1	no	—
806	C₂²×C₅	#519	1	2	yes	—
807	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
808	C₂×D₅	—	2	1	no	—
809	C₂×D₅	—	2	1	no	—
810	C₂×D₅	—	2	1	no	—
811	C₂×D₅	—	2	1	no	—
812	C₂×D₅	—	2	1	no	—
813	C₂×D₅	—	2	1	no	—
814	C₂×D₅	—	8	2	no	—
815	C₄×C₅	—	2	1	no	—
816	C₄×C₅	—	2	1	no	—
817	C₄×C₅	—	2	2	no	—
818	C₄×C₅	—	2	2	no	—
819	C₄×C₅	—	2	2	no	—
820	C₄×C₅	—	2	2	no	—
821	C₄×C₅	—	2	1	no	—
822	C₄×C₅	—	2	1	no	—
823	C₄×C₅	#519	1	2	yes	—
824	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
825	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
826	Dic₅	—	2	1	no	—
827	Dic₅	—	2	1	no	—
828	Dic₅	—	2	2	no	—
829	Dic₅	—	2	2	no	—
830	Dic₅	—	2	2	no	—
831	Dic₅	—	2	2	no	—
832	Dic₅	—	2	1	no	—
833	Dic₅	—	2	1	no	—
834	Dic₅	—	2	1	no	—
835	Dic₅	—	2	1	no	—
836	C₂⁴	—	5	1	no	—
837	C₂×Q₈	—	5	2	no	—
838	C₂×Q₈	—	5	2	no	—
839	C₂×Q₈	—	5	2	no	—
840	C₂×Q₈	—	5	2	no	—
841	C₂×Q₈	—	5	2	no	—
842	C₂×Q₈	—	5	2	no	—
843	C₂×Q₈	C₂×C₄×D₅	1	2	yes	—
844	C₂×Q₈	C₂×C₄×D₅	1	2	yes	—
845	C₂²×C₄	—	5	1	no	—
846	C₂²×C₄	—	5	1	no	—
847	C₂²×C₄	—	5	1	no	—
848	C₂²×C₄	—	5	1	no	—
849	C₂²×C₄	—	5	1	no	—
850	C₂²×C₄	—	5	1	no	—
851	C₂²×C₄	—	5	1	no	—
852	C₂²×C₄	—	5	2	no	—
853	C₂²×C₄	—	5	2	no	—
854	C₂²×C₄	—	5	2	no	—
855	C₂²×C₄	—	5	2	no	—
856	C₂²×C₄	—	10	2	no	—
857	C₂²×C₄	—	10	2	no	—
858	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
859	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
860	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
861	M₁₆	—	2	2	no	—
862	M₁₆	—	2	2	no	—
863	M₁₆	—	10	2	no	—
864	M₁₆	—	10	2	no	—
865	C₂×C₈	—	2	2	no	—
866	C₂×C₈	—	2	2	no	—
867	C₂×C₈	—	5	1	no	—
868	C₂×C₈	—	5	2	no	—
869	C₂×C₈	—	5	2	no	—
870	C₂×C₈	—	5	1	no	—
871	C₂×C₈	—	5	1	no	—
872	C₂×C₈	—	5	1	no	—
873	C₂×C₈	—	10	2	no	—
874	C₂×C₈	—	10	2	no	—
875	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
876	C₂×C₈	C₂³×D₅	1	2	yes	—
877	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
878	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
879	C₂×C₈	C₂³×D₅	1	2	yes	—
880	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
881	C₄⋊C₄	—	5	2	no	—
882	C₄⋊C₄	—	5	2	no	—
883	C₄⋊C₄	—	5	2	no	—
884	C₄⋊C₄	—	5	2	no	—
885	C₄⋊C₄	—	5	1	no	—
886	C₄⋊C₄	—	5	1	no	—
887	C₄⋊C₄	—	5	1	no	—
888	C₄⋊C₄	—	5	1	no	—
889	C₄⋊C₄	—	5	1	no	—
890	C₄⋊C₄	—	5	1	no	—
891	C₄⋊C₄	—	5	1	no	—
892	C₄⋊C₄	—	5	1	no	—
893	C₄⋊C₄	—	5	1	no	—
894	C₄⋊C₄	—	5	1	no	—
895	C₄⋊C₄	—	5	1	no	—
896	C₄⋊C₄	—	5	1	no	—
897	C₄⋊C₄	—	5	2	no	—
898	C₄⋊C₄	—	5	2	no	—
899	C₄⋊C₄	—	5	2	no	—
900	C₄⋊C₄	—	5	2	no	—
901	C₄⋊C₄	—	5	2	no	—
902	C₄⋊C₄	—	5	2	no	—
903	C₄⋊C₄	—	5	2	no	—
904	C₄⋊C₄	—	5	2	no	—
905	C₄⋊C₄	—	5	2	no	—
906	C₄⋊C₄	—	5	2	no	—
907	C₄⋊C₄	—	5	2	no	—
908	C₄⋊C₄	—	5	2	no	—
909	C₄⋊C₄	—	5	2	no	—
910	C₄⋊C₄	—	5	2	no	—
911	C₄⋊C₄	—	5	2	no	—
912	C₄⋊C₄	—	5	2	no	—
913	C₄⋊C₄	—	5	2	no	—
914	C₄⋊C₄	—	5	2	no	—
915	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
916	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
917	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
918	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
919	C₄⋊C₄	C₂×C₄×D₅	1	2	yes	—
920	C₄⋊C₄	C₂×C₄×D₅	1	2	yes	—
921	C₄⋊C₄	C₂×C₄×D₅	1	2	yes	—
922	C₄⋊C₄	C₂×C₄×D₅	1	2	yes	—
923	C₄⋊C₄	C₂×C₄×D₅	1	2	yes	—
924	C₄⋊C₄	C₂×C₄×D₅	1	2	yes	—
925	C₂²⋊C₄	—	5	2	no	—
926	C₂²⋊C₄	—	5	2	no	—
927	C₂²⋊C₄	—	5	2	no	—
928	C₂²⋊C₄	—	5	2	no	—
929	C₂²⋊C₄	—	5	2	no	—
930	C₂²⋊C₄	—	5	2	no	—
931	C₂²⋊C₄	—	5	1	no	—
932	C₂²⋊C₄	—	5	1	no	—
933	C₂²⋊C₄	—	5	1	no	—
934	C₂²⋊C₄	—	5	1	no	—
935	C₂²⋊C₄	—	5	1	no	—
936	C₂²⋊C₄	—	5	1	no	—
937	C₂²⋊C₄	—	5	1	no	—
938	C₂²⋊C₄	—	5	1	no	—
939	C₂²⋊C₄	C₂×C₄×D₅	1	2	yes	—
940	C₂²⋊C₄	C₂×C₄×D₅	1	2	yes	—
941	C₄²	—	5	2	no	—
942	C₄²	—	5	2	no	—
943	C₄²	—	5	2	no	—
944	C₄²	—	5	2	no	—
945	C₄²	—	5	1	no	—
946	C₄²	—	5	1	no	—
947	C₄²	—	5	1	no	—
948	C₄²	—	5	1	no	—
949	C₄²	—	5	2	no	—
950	C₄²	—	5	2	no	—
951	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
952	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
953	C₄²	C₂³×D₅	1	1	yes	characteristic
954	C₄²	C₂³×D₅	1	2	yes	—
955	C₄²	C₂³×D₅	1	2	yes	—
956	C₄²	C₂³×D₅	1	1	yes	characteristic
957	C₂×C₅	—	2	2	no	—
958	C₂×C₅	C₂×#519	1	1	yes	characteristic
959	C₂×C₅	#3573	1	1	yes	characteristic
960	C₂×C₅	#3573	1	1	yes	characteristic
961	D₅	—	4	1	no	—
962	D₅	—	4	1	no	—
963	C₂³	—	5	1	no	—
964	C₂³	—	5	1	no	—
965	C₂³	—	10	2	no	—
966	C₂³	—	20	1	no	—
967	C₂³	—	20	1	no	—
968	C₂³	C₂²×C₄×D₅	1	1	yes	characteristic
969	Q₈	—	4	2	no	—
970	Q₈	—	4	2	no	—
971	Q₈	—	20	2	no	—
972	Q₈	—	20	2	no	—
973	Q₈	—	20	2	no	—
974	Q₈	—	20	2	no	—
975	Q₈	—	20	2	no	—
976	Q₈	—	20	2	no	—
977	C₂×C₄	—	4	1	no	—
978	C₂×C₄	—	4	1	no	—
979	C₂×C₄	—	5	1	no	—
980	C₂×C₄	—	5	1	no	—
981	C₂×C₄	—	5	2	no	—
982	C₂×C₄	—	5	2	no	—
983	C₂×C₄	—	5	1	no	—
984	C₂×C₄	—	5	1	no	—
985	C₂×C₄	—	5	2	no	—
986	C₂×C₄	—	5	2	no	—
987	C₂×C₄	—	5	1	no	—
988	C₂×C₄	—	5	1	no	—
989	C₂×C₄	—	10	2	no	—
990	C₂×C₄	—	10	2	no	—
991	C₂×C₄	—	10	2	no	—
992	C₂×C₄	—	10	1	no	—
993	C₂×C₄	—	10	1	no	—
994	C₂×C₄	—	10	1	no	—
995	C₂×C₄	—	10	1	no	—
996	C₂×C₄	—	20	2	no	—
997	C₂×C₄	—	20	2	no	—
998	C₂×C₄	—	20	2	no	—
999	C₂×C₄	—	20	2	no	—
1000	C₂×C₄	—	20	1	no	—
1001	C₂×C₄	—	20	1	no	—
1002	C₂×C₄	C₂²×C₄×D₅	1	2	yes	—
1003	C₂×C₄	C₂²×C₄×D₅	1	2	yes	—
1004	C₂×C₄	C₂²×C₄×D₅	1	2	yes	—
1005	C₂×C₄	C₂²×C₄×D₅	1	2	yes	—
1006	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1007	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1008	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1009	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1010	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1011	C₂×C₄	#4147	1	2	yes	—
1012	C₂×C₄	#4150	1	2	yes	—
1013	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1014	C₈	—	2	2	no	—
1015	C₈	—	2	1	no	—
1016	C₈	—	2	1	no	—
1017	C₈	—	2	1	no	—
1018	C₈	—	2	1	no	—
1019	C₈	—	2	2	no	—
1020	C₈	—	10	1	no	—
1021	C₈	—	10	1	no	—
1022	C₈	—	10	1	no	—
1023	C₈	—	10	1	no	—
1024	C₈	—	10	2	no	—
1025	C₈	—	10	2	no	—
1026	C₅	#60252	1	1	yes	characteristic, complemented, Sylow
1027	C₂²	—	2	1	no	—
1028	C₂²	—	2	1	no	—
1029	C₂²	—	10	1	no	—
1030	C₂²	—	10	1	no	—
1031	C₂²	—	10	1	no	—
1032	C₂²	—	10	1	no	—
1033	C₂²	—	10	1	no	—
1034	C₂²	—	10	1	no	—
1035	C₂²	—	40	2	no	—
1036	C₂²	#65906	1	2	yes	—
1037	C₂²	C₂³×C₄×D₅	1	1	yes	characteristic
1038	C₄	—	2	1	no	—
1039	C₄	—	2	1	no	—
1040	C₄	—	2	2	no	—
1041	C₄	—	2	2	no	—
1042	C₄	—	2	1	no	—
1043	C₄	—	2	1	no	—
1044	C₄	—	2	2	no	—
1045	C₄	—	2	2	no	—
1046	C₄	—	10	1	no	—
1047	C₄	—	10	1	no	—
1048	C₄	—	10	2	no	—
1049	C₄	—	10	2	no	—
1050	C₄	—	10	1	no	—
1051	C₄	—	10	1	no	—
1052	C₄	—	10	2	no	—
1053	C₄	—	10	2	no	—
1054	C₄	—	10	1	no	—
1055	C₄	—	10	1	no	—
1056	C₄	#65906	1	2	yes	—
1057	C₄	C₂×#4147	1	1	yes	characteristic
1058	C₄	C₂×#4150	1	1	yes	characteristic
1059	C₂	—	2	2	no	—
1060	C₂	—	20	1	no	—
1061	C₂	—	20	1	no	—
1062	C₂	C₂×#65906	1	1	yes	characteristic
1063	C₂	#10619061	1	1	yes	characteristic
1064	C₂	#10619067	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₅
commutator, socle	C₂²×C₅	C₂⁴×C₄
Fitting	C₅×#2962	C₂
prime radical	C₂³×D₅	C₂²×C₄
cosocle	C₂×C₄×C₅	C₂⁵
hypercenter	#2962	D₅
hypocenter	C₅	#60252
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₄ ◁ #2962

Complements

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

N	H ≅ G/N	type
2. C₅×#2962	C₂	semidirect
3. #10615061	C₂	semidirect
4. #10611699	C₂	semidirect
5. #10611699	C₂	semidirect
6. #10611698	C₂	semidirect
7. #10611697	C₂	semidirect
8. #10611697	C₂	semidirect
9. #10611696	C₂	semidirect
10. #10611654	C₂	semidirect
11. #10611653	C₂	semidirect
12. #10610808	C₂	semidirect
13. #10610807	C₂	semidirect
16. #10610739	C₂	semidirect
20. #10610274	C₂	semidirect
21. #10610273	C₂	semidirect
23. #10610239	C₂	semidirect
47. C₅×#446	C₂²	semidirect
48. C₅×#446	C₂²	semidirect
49. C₅×#446	C₂²	semidirect
50. C₅×C₈×Q₈	C₂²	semidirect
73. #65313	C₂²	semidirect
74. #65313	C₂²	semidirect
75. #65313	C₂²	semidirect
76. Q₈×#168	C₂²	semidirect
99. #65120	C₂²	semidirect
100. #65120	C₂²	semidirect
101. #65120	C₂²	semidirect
102. #65119	C₂²	semidirect
103. #65119	C₂²	semidirect
104. #65119	C₂²	semidirect
105. #65117	C₂²	semidirect
106. #65117	C₂²	semidirect
107. #65117	C₂²	semidirect
108. #65117	C₂²	semidirect
109. #65117	C₂²	semidirect
110. #65117	C₂²	semidirect
117. #64990	C₂²	semidirect
118. #64990	C₂²	semidirect
119. #64990	C₂²	semidirect
120. #64990	C₂²	semidirect
121. #64990	C₂²	semidirect
122. #64990	C₂²	semidirect
129. #64968	C₂²	semidirect
130. #64968	C₂²	semidirect
131. #64968	C₂²	semidirect
132. C₈×Dic₁₀	C₂²	semidirect
133. C₈×Dic₁₀	C₂²	semidirect
134. C₈×Dic₁₀	C₂²	semidirect
323. #2962	D₅	semidirect
499. #446	C₂×D₅	semidirect
500. #446	C₂×D₅	semidirect
501. #446	C₂×D₅	semidirect
509. C₈×Q₈	C₂×D₅	semidirect
1026. C₅	#60252	semidirect

Maximal subgroups

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

subgroup	index
#10618175	2
C₅×#2962	2
#10615061	2
#10611699	2
#10611698	2
#10611697	2
#10611696	2
#10611654	2
#10611653	2
#10610808	2
#10610807	2
#10610803	2
#10610739	2
C₂×#65129	2
#10610282	2
#10610274	2
#10610273	2
#10610249	2
#10610239	2
#60252	5