Subgroups — #12307525

Order 1280.

1494 conjugacy classes of subgroups.

The subgroup lattice has 1318 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#2533	C₂	1	1	yes	maximal, characteristic, complemented
2	#10610120	C₂	1	1	yes	maximal, characteristic, complemented
3	#10610099	C₂	1	1	yes	maximal, characteristic, complemented
4	#10610037	C₂	1	1	yes	maximal, characteristic, complemented
5	#10610030	C₂	1	1	yes	maximal, characteristic, complemented
6	#10610019	C₂	1	1	yes	maximal, characteristic
7	#10610017	C₂	1	1	yes	maximal, characteristic
8	#10609986	C₂	1	1	yes	maximal, characteristic, complemented
9	#10609975	C₂	1	1	yes	maximal, characteristic, complemented
10	#10608019	C₂	1	1	yes	maximal, characteristic, complemented
11	#10607997	C₂	1	1	yes	maximal, characteristic
12	#10607897	C₂	1	1	yes	maximal, characteristic, complemented
13	#10607755	C₂	1	1	yes	maximal, characteristic, complemented
14	#10607179	C₂	1	1	yes	maximal, characteristic, complemented
15	#10607141	C₂	1	1	yes	maximal, characteristic
16	#10607110	C₂	1	1	yes	maximal, characteristic
17	#10607110	C₂	1	1	yes	maximal, characteristic
18	#10607032	C₂	1	1	yes	maximal, characteristic, complemented
19	#10607000	C₂	1	1	yes	maximal, characteristic, complemented
20	#10606975	C₂	1	1	yes	maximal, characteristic, complemented
21	#10606888	C₂	1	1	yes	maximal, characteristic, complemented
22	#10606844	C₂	1	1	yes	maximal, characteristic, complemented
23	#10606838	C₂	1	1	yes	maximal, characteristic, complemented
24	#10606837	C₂	1	1	yes	maximal, characteristic, complemented
25	#10606748	C₂	1	1	yes	maximal, characteristic, complemented
26	#10606018	C₂	1	1	yes	maximal, characteristic, complemented
27	#10606013	C₂	1	1	yes	maximal, characteristic, complemented
28	#10605542	C₂	1	1	yes	maximal, characteristic, complemented
29	#10605495	C₂	1	1	yes	maximal, characteristic, complemented
30	#10605145	C₂	1	1	yes	maximal, characteristic
31	#10605130	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#4044	C₂²	1	1	yes	characteristic
33	C₂×#4042	C₂²	1	1	yes	characteristic
34	C₂×#4042	C₂²	1	1	yes	characteristic
35	C₂×#4042	C₂²	1	1	yes	characteristic
36	C₂×#4035	C₂²	1	1	yes	characteristic
37	C₂×#4034	C₂²	1	1	yes	characteristic
38	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic
39	C₂×#4018	C₂²	1	1	yes	characteristic
40	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
41	C₅×#400	C₂²	1	1	yes	characteristic
42	C₅×#400	C₂²	1	1	yes	characteristic
43	C₅×#400	C₂²	1	1	yes	characteristic
44	C₅×#400	C₂²	1	1	yes	characteristic
45	C₅×#389	C₂²	1	1	yes	characteristic
46	C₅×#389	C₂²	1	1	yes	characteristic
47	C₅×#387	C₂²	1	1	yes	characteristic
48	C₅×#387	C₂²	1	1	yes	characteristic
49	C₅×#387	C₂²	1	1	yes	characteristic
50	C₅×#387	C₂²	1	1	yes	characteristic
51	C₅×#387	C₂²	1	1	yes	characteristic
52	C₅×#387	C₂²	1	1	yes	characteristic
53	C₅×#383	C₂²	1	1	yes	characteristic
54	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
55	C₅×#376	C₂²	1	1	yes	characteristic
56	#65283	C₂²	1	1	yes	characteristic
57	#65283	C₂²	1	1	yes	characteristic
58	#65282	C₂²	1	1	yes	characteristic
59	#65282	C₂²	1	1	yes	characteristic
60	#65281	C₂²	1	1	yes	characteristic
61	#65280	C₂²	1	1	yes	characteristic
62	#65280	C₂²	1	1	yes	characteristic
63	#65279	C₂²	1	1	yes	characteristic
64	#65279	C₂²	1	1	yes	characteristic
65	#65278	C₂²	1	1	yes	characteristic
66	#65278	C₂²	1	1	yes	characteristic
67	#65278	C₂²	1	1	yes	characteristic
68	#65276	C₂²	1	1	yes	characteristic
69	#65276	C₂²	1	1	yes	characteristic
70	#65273	C₂²	1	1	yes	characteristic
71	#65273	C₂²	1	1	yes	characteristic
72	#65273	C₂²	1	1	yes	characteristic
73	#65273	C₂²	1	1	yes	characteristic
74	#65272	C₂²	1	1	yes	characteristic
75	#65272	C₂²	1	1	yes	characteristic
76	#65270	C₂²	1	1	yes	characteristic
77	#65269	C₂²	1	1	yes	characteristic
78	#65267	C₂²	1	1	yes	characteristic
79	#65267	C₂²	1	1	yes	characteristic
80	#65267	C₂²	1	1	yes	characteristic
81	#65265	C₂²	1	1	yes	characteristic
82	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
83	#65263	C₂²	1	1	yes	characteristic
84	#65263	C₂²	1	1	yes	characteristic
85	#65262	C₂²	1	1	yes	characteristic
86	#65261	C₂²	1	1	yes	characteristic
87	#65261	C₂²	1	1	yes	characteristic
88	#65261	C₂²	1	1	yes	characteristic
89	#65261	C₂²	1	1	yes	characteristic
90	#65229	C₂²	1	1	yes	characteristic
91	#65229	C₂²	1	1	yes	characteristic
92	#65229	C₂²	1	1	yes	characteristic
93	#65229	C₂²	1	1	yes	characteristic
94	C₄×#685	C₂²	1	1	yes	characteristic
95	C₄×#685	C₂²	1	1	yes	characteristic
96	C₄×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
97	#65222	C₂²	1	1	yes	characteristic
98	#65222	C₂²	1	1	yes	characteristic
99	#65222	C₂²	1	1	yes	characteristic
100	#65222	C₂²	1	1	yes	characteristic
101	#65222	C₂²	1	1	yes	characteristic
102	#65222	C₂²	1	1	yes	characteristic
103	C₄×#683	C₂²	1	1	yes	characteristic
104	#65218	C₂²	1	1	yes	characteristic
105	#65217	C₂²	1	1	yes	characteristic
106	#65217	C₂²	1	1	yes	characteristic
107	#64965	C₂²	1	1	yes	characteristic
108	#64964	C₂²	1	1	yes	characteristic
109	#64964	C₂²	1	1	yes	characteristic
110	#64964	C₂²	1	1	yes	characteristic
111	#64964	C₂²	1	1	yes	characteristic
112	#64964	C₂²	1	1	yes	characteristic
113	#64963	C₂²	1	1	yes	characteristic
114	#64963	C₂²	1	1	yes	characteristic
115	#64962	C₂²	1	1	yes	characteristic
116	#64962	C₂²	1	1	yes	characteristic
117	#64962	C₂²	1	1	yes	characteristic
118	#64961	C₂²	1	1	yes	characteristic
119	#64961	C₂²	1	1	yes	characteristic
120	#64959	C₂²	1	1	yes	characteristic
121	#64959	C₂²	1	1	yes	characteristic
122	#64959	C₂²	1	1	yes	characteristic
123	#64959	C₂²	1	1	yes	characteristic
124	#64959	C₂²	1	1	yes	characteristic
125	#64959	C₂²	1	1	yes	characteristic
126	#64958	C₂²	1	1	yes	characteristic
127	#64958	C₂²	1	1	yes	characteristic
128	#64958	C₂²	1	1	yes	characteristic
129	#64958	C₂²	1	1	yes	characteristic
130	#64958	C₂²	1	1	yes	characteristic
131	#64957	C₂²	1	1	yes	characteristic
132	#64957	C₂²	1	1	yes	characteristic
133	#64957	C₂²	1	1	yes	characteristic
134	#64957	C₂²	1	1	yes	characteristic
135	#64957	C₂²	1	1	yes	characteristic
136	#64956	C₂²	1	1	yes	characteristic
137	#64956	C₂²	1	1	yes	characteristic
138	#64956	C₂²	1	1	yes	characteristic
139	#64954	C₂²	1	1	yes	characteristic
140	#64954	C₂²	1	1	yes	characteristic
141	#64953	C₂²	1	1	yes	characteristic
142	#64953	C₂²	1	1	yes	characteristic
143	C₅⋊#401	C₂²	1	1	yes	characteristic
144	#64950	C₂²	1	1	yes	characteristic
145	#64950	C₂²	1	1	yes	characteristic
146	#64949	C₂²	1	1	yes	characteristic
147	#64948	C₂²	1	1	yes	characteristic
148	#64948	C₂²	1	1	yes	characteristic
149	#64947	C₂²	1	1	yes	characteristic
150	#64947	C₂²	1	1	yes	characteristic
151	#64947	C₂²	1	1	yes	characteristic
152	#64947	C₂²	1	1	yes	characteristic
153	#64947	C₂²	1	1	yes	characteristic
154	#64946	C₂²	1	1	yes	characteristic
155	#64946	C₂²	1	1	yes	characteristic
156	#64946	C₂²	1	1	yes	characteristic
157	#64945	C₂²	1	1	yes	characteristic
158	#64945	C₂²	1	1	yes	characteristic
159	#64945	C₂²	1	1	yes	characteristic
160	#64944	C₂²	1	1	yes	characteristic
161	#64944	C₂²	1	1	yes	characteristic
162	#64944	C₂²	1	1	yes	characteristic
163	#64943	C₂²	1	1	yes	characteristic
164	#64943	C₂²	1	1	yes	characteristic
165	#64943	C₂²	1	1	yes	characteristic
166	#64943	C₂²	1	1	yes	characteristic
167	#64943	C₂²	1	1	yes	characteristic
168	#64942	C₂²	1	1	yes	characteristic
169	#64942	C₂²	1	1	yes	characteristic
170	#64942	C₂²	1	1	yes	characteristic
171	#64942	C₂²	1	1	yes	characteristic
172	#64942	C₂²	1	1	yes	characteristic
173	#64941	C₂²	1	1	yes	characteristic
174	#64941	C₂²	1	1	yes	characteristic
175	#64941	C₂²	1	1	yes	characteristic
176	#64941	C₂²	1	1	yes	characteristic
177	#64939	C₂²	1	1	yes	characteristic
178	#64938	C₂²	1	1	yes	characteristic
179	#64936	C₂²	1	1	yes	characteristic
180	#64935	C₂²	1	1	yes	characteristic
181	#64935	C₂²	1	1	yes	characteristic
182	#64935	C₂²	1	1	yes	characteristic
183	#64935	C₂²	1	1	yes	characteristic
184	#64935	C₂²	1	1	yes	characteristic
185	#64935	C₂²	1	1	yes	characteristic
186	#64935	C₂²	1	1	yes	characteristic
187	#36772	—	5	1	no	maximal, Sylow
188	C₂²×D₂₀	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
193	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
194	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
195	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
196	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
208	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
209	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
211	C₂×#685	C₂³	1	1	yes	characteristic
212	C₂×#685	C₂³	1	1	yes	characteristic
213	C₂×#685	C₂³	1	1	yes	characteristic
214	C₂×#685	C₂³	1	1	yes	characteristic
215	C₂×#685	C₂³	1	1	yes	characteristic
216	C₂×#685	C₂³	1	1	yes	characteristic
217	C₂×#685	C₂³	1	1	yes	characteristic
218	C₂×#685	C₂³	1	1	yes	characteristic
219	C₂×#685	C₂³	1	1	yes	characteristic
220	C₂×#685	C₂³	1	1	yes	characteristic
221	C₂×#685	C₂³	1	1	yes	characteristic
222	C₂×#685	C₂³	1	1	yes	characteristic
223	C₂×#685	C₂³	1	1	yes	characteristic
224	C₂×#685	C₂³	1	1	yes	characteristic
225	C₂×#685	C₂³	1	1	yes	characteristic
226	C₂×#685	C₂³	1	1	yes	characteristic
227	C₂×#685	C₂³	1	1	yes	characteristic
228	C₂×#685	C₂³	1	1	yes	characteristic
229	C₂×#685	C₂³	1	1	yes	characteristic
230	C₂×#685	C₂³	1	1	yes	characteristic
231	C₂×#685	C₂³	1	1	yes	characteristic
232	C₂×#685	C₂³	1	1	yes	characteristic
233	C₂×#685	C₂³	1	1	yes	characteristic
234	C₂×#685	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
245	C₂×#683	C₂³	1	1	yes	characteristic
246	C₂×#683	C₂³	1	1	yes	characteristic
247	C₂×#683	C₂³	1	1	yes	characteristic
248	C₂×#683	C₂³	1	1	yes	characteristic
249	C₂×#683	C₂³	1	1	yes	characteristic
250	C₂×#683	C₂³	1	1	yes	characteristic
251	C₂×#683	C₂³	1	1	yes	characteristic
252	C₂×#683	C₂³	1	1	yes	characteristic
253	C₂×#683	C₂³	1	1	yes	characteristic
254	C₂×#683	C₂³	1	1	yes	characteristic
255	C₂×#683	C₂³	1	1	yes	characteristic
256	C₂×#683	C₂³	1	1	yes	characteristic
257	C₂×#683	C₂³	1	1	yes	characteristic
258	C₂×#683	C₂³	1	1	yes	characteristic
259	C₂×#683	C₂³	1	1	yes	characteristic
260	C₂×#683	C₂³	1	1	yes	characteristic
261	C₂×#683	C₂³	1	1	yes	characteristic
262	C₂×#683	C₂³	1	1	yes	characteristic
263	C₂×#683	C₂³	1	1	yes	characteristic
264	C₂×#683	C₂³	1	1	yes	characteristic
265	C₂×#683	C₂³	1	1	yes	characteristic
266	C₂×#683	C₂³	1	1	yes	characteristic
267	C₂×#683	C₂³	1	1	yes	characteristic
268	C₂×#683	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
279	#4044	—	4	2	no	—
280	#4042	—	2	4	no	—
281	#4042	—	2	4	no	—
282	#4042	—	4	2	no	—
283	#4035	—	4	2	no	—
284	#4034	—	4	2	no	—
285	C₄×D₂₀	—	2	4	no	—
286	#4018	—	4	2	no	—
287	C₄²×D₅	—	4	2	no	—
288	C₅×#95	C₂³	1	1	yes	characteristic
289	C₅×#95	C₂³	1	1	yes	characteristic
290	C₅×#95	C₂³	1	1	yes	characteristic
291	C₅×#95	C₂³	1	1	yes	characteristic
292	C₅×#95	C₂³	1	1	yes	characteristic
293	C₅×#95	C₂³	1	1	yes	characteristic
294	C₅×#95	C₂³	1	1	yes	characteristic
295	C₅×#95	C₂³	1	1	yes	characteristic
296	C₅×#95	C₂³	1	1	yes	characteristic
297	C₅×#95	C₂³	1	1	yes	characteristic
298	C₅×#95	C₂³	1	1	yes	characteristic
299	C₅×#95	C₂³	1	1	yes	characteristic
300	C₅×#95	C₂³	1	1	yes	characteristic
301	C₅×#95	C₂³	1	1	yes	characteristic
302	C₅×#95	C₂³	1	1	yes	characteristic
303	C₅×#95	C₂³	1	1	yes	characteristic
304	C₅×#95	C₂³	1	1	yes	characteristic
305	C₅×#95	C₂³	1	1	yes	characteristic
306	C₅×#95	C₂³	1	1	yes	characteristic
307	C₅×#95	C₂³	1	1	yes	characteristic
308	#3963	C₂³	1	1	yes	characteristic
309	#3963	C₂³	1	1	yes	characteristic
310	#3963	C₂³	1	1	yes	characteristic
311	#3963	C₂³	1	1	yes	characteristic
312	#3963	C₂³	1	1	yes	characteristic
313	#3963	C₂³	1	1	yes	characteristic
314	#3963	C₂³	1	1	yes	characteristic
315	#3963	C₂³	1	1	yes	characteristic
316	#3963	C₂³	1	1	yes	characteristic
317	#3963	C₂³	1	1	yes	characteristic
318	#3963	C₂³	1	1	yes	characteristic
319	#3963	C₂³	1	1	yes	characteristic
320	#3963	C₂³	1	1	yes	characteristic
321	#3963	C₂³	1	1	yes	characteristic
322	#3963	C₂³	1	1	yes	characteristic
323	#3963	C₂³	1	1	yes	characteristic
324	#3963	C₂³	1	1	yes	characteristic
325	#3963	C₂³	1	1	yes	characteristic
326	#3963	C₂³	1	1	yes	characteristic
327	#3963	C₂³	1	1	yes	characteristic
328	#3963	C₂³	1	1	yes	characteristic
329	#3963	C₂³	1	1	yes	characteristic
330	#3963	C₂³	1	1	yes	characteristic
331	#3963	C₂³	1	1	yes	characteristic
332	#3963	C₂³	1	1	yes	characteristic
333	#3963	C₂³	1	1	yes	characteristic
334	#3963	C₂³	1	1	yes	characteristic
335	#3963	C₂³	1	1	yes	characteristic
336	#3963	C₂³	1	1	yes	characteristic
337	#3963	C₂³	1	1	yes	characteristic
338	#3963	C₂³	1	1	yes	characteristic
339	#3963	C₂³	1	1	yes	characteristic
340	#3963	C₂³	1	1	yes	characteristic
341	#3963	C₂³	1	1	yes	characteristic
342	#3963	C₂³	1	1	yes	characteristic
343	#3963	C₂³	1	1	yes	characteristic
344	#3963	C₂³	1	1	yes	characteristic
345	#3963	C₂³	1	1	yes	characteristic
346	#3963	C₂³	1	1	yes	characteristic
347	#3963	C₂³	1	1	yes	characteristic
348	#3963	C₂³	1	1	yes	characteristic
349	#3963	C₂³	1	1	yes	characteristic
350	#3963	C₂³	1	1	yes	characteristic
351	#3963	C₂³	1	1	yes	characteristic
352	#2857	—	5	1	no	—
353	#2855	—	5	1	no	—
354	#2799	—	5	1	no	—
355	#2798	—	5	1	no	—
356	#2793	—	5	1	no	—
357	#2791	—	5	1	no	—
358	#2787	—	5	1	no	—
359	#2781	—	5	1	no	—
360	#2779	—	5	1	no	—
361	#2770	—	5	1	no	—
362	#2759	—	5	1	no	—
363	#2755	—	5	1	no	—
364	#2747	—	5	1	no	—
365	#2741	—	5	1	no	—
366	#2716	—	5	1	no	—
367	#2713	—	5	1	no	—
368	#2702	—	5	1	no	—
369	#2690	—	5	1	no	—
370	#2638	—	5	1	no	—
371	#2638	—	5	1	no	—
372	#2590	—	5	1	no	—
373	#2589	—	5	1	no	—
374	#2588	—	5	1	no	—
375	#2587	—	5	1	no	—
376	#2533	D₅	1	1	yes	characteristic, complemented
377	#2528	—	5	1	no	—
378	#2478	—	5	1	no	—
379	#2475	—	5	1	no	—
380	#2332	—	5	1	no	—
381	#2332	—	5	1	no	—
382	#2290	—	5	1	no	—
383	C₂³×D₅	C₂⁴	1	1	yes	characteristic
384	C₂³×D₅	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
414	C₂×D₂₀	—	2	2	no	—
415	C₂×D₂₀	—	4	1	no	—
416	C₂×D₂₀	—	4	1	no	—
417	C₂×C₄×D₅	—	2	2	no	—
418	C₂×C₄×D₅	—	2	2	no	—
419	C₂×C₄×D₅	—	2	2	no	—
420	C₂×C₄×D₅	—	2	2	no	—
421	C₂×C₄×D₅	—	4	1	no	—
422	C₂×C₄×D₅	—	4	1	no	—
423	C₂×C₄×D₅	—	4	1	no	—
424	C₂×C₄×D₅	—	4	1	no	—
425	C₂×C₄×D₅	—	4	1	no	—
426	C₂×C₄×D₅	—	4	1	no	—
427	C₂×C₄×D₅	—	4	1	no	—
428	C₂×C₄×D₅	#41	1	4	yes	—
429	C₂×Dic₁₀	—	2	2	no	—
430	C₂×Dic₁₀	—	2	2	no	—
431	C₂×Dic₁₀	—	2	2	no	—
432	C₂×Dic₁₀	—	4	1	no	—
433	C₂×Dic₁₀	—	4	1	no	—
434	C₂×Dic₁₀	—	4	1	no	—
435	C₂×Dic₁₀	—	4	1	no	—
436	C₂×Dic₁₀	—	4	1	no	—
437	C₂×Dic₁₀	—	4	1	no	—
438	C₅×C₄⋊C₄	—	2	2	no	—
439	C₅×C₄⋊C₄	—	2	2	no	—
440	C₅×C₄⋊C₄	—	2	2	no	—
441	C₅×C₄⋊C₄	—	2	2	no	—
442	C₅×C₄⋊C₄	—	4	1	no	—
443	C₅×C₄⋊C₄	—	4	1	no	—
444	C₅×C₄⋊C₄	—	4	1	no	—
445	C₅×C₄⋊C₄	—	4	1	no	—
446	C₅×C₄⋊C₄	—	4	1	no	—
447	C₅×C₄⋊C₄	—	4	1	no	—
448	C₄²×C₅	—	2	2	no	—
449	C₄²×C₅	—	2	2	no	—
450	C₄²×C₅	—	4	1	no	—
451	C₄²×C₅	—	4	1	no	—
452	C₄²×C₅	—	4	1	no	—
453	#685	—	2	2	no	—
454	#685	—	2	2	no	—
455	#685	—	2	2	no	—
456	#685	—	2	2	no	—
457	#685	—	2	2	no	—
458	#685	—	2	2	no	—
459	#685	—	2	2	no	—
460	#685	—	2	2	no	—
461	#685	—	2	2	no	—
462	#685	—	4	1	no	—
463	#685	—	4	1	no	—
464	#685	—	4	1	no	—
465	#685	—	4	1	no	—
466	#685	—	4	1	no	—
467	#685	—	4	1	no	—
468	#685	—	4	1	no	—
469	#685	—	4	1	no	—
470	#685	—	4	1	no	—
471	#685	—	4	1	no	—
472	#685	—	4	1	no	—
473	#685	—	4	1	no	—
474	#685	—	4	1	no	—
475	#685	—	4	1	no	—
476	#685	—	4	1	no	—
477	C₄⋊Dic₅	—	2	2	no	—
478	C₄⋊Dic₅	—	2	2	no	—
479	C₄⋊Dic₅	—	2	2	no	—
480	C₄⋊Dic₅	—	2	2	no	—
481	C₄⋊Dic₅	—	2	2	no	—
482	C₄⋊Dic₅	—	4	1	no	—
483	C₄⋊Dic₅	—	4	1	no	—
484	C₄⋊Dic₅	—	4	1	no	—
485	C₄⋊Dic₅	—	4	1	no	—
486	C₄⋊Dic₅	—	4	1	no	—
487	#683	—	2	2	no	—
488	#683	—	2	2	no	—
489	#683	—	2	2	no	—
490	#683	—	2	2	no	—
491	#683	—	2	2	no	—
492	#683	—	2	2	no	—
493	#683	—	2	2	no	—
494	#683	—	2	2	no	—
495	#683	—	4	1	no	—
496	#683	—	4	1	no	—
497	#683	—	4	1	no	—
498	#683	—	4	1	no	—
499	#683	—	4	1	no	—
500	#683	—	4	1	no	—
501	#683	—	4	1	no	—
502	#683	—	4	1	no	—
503	#683	—	4	1	no	—
504	#683	—	4	1	no	—
505	#683	—	4	1	no	—
506	#683	—	4	1	no	—
507	#683	—	4	1	no	—
508	#683	—	4	1	no	—
509	#683	—	4	1	no	—
510	#683	—	4	1	no	—
511	C₄×Dic₅	—	2	2	no	—
512	C₄×Dic₅	—	4	1	no	—
513	C₄×Dic₅	—	4	1	no	—
514	C₄×Dic₅	—	4	1	no	—
515	C₄×Dic₅	—	4	1	no	—
516	C₄×Dic₅	—	4	1	no	—
517	C₄×Dic₅	—	4	1	no	—
518	C₄×Dic₅	—	4	1	no	—
519	C₄×Dic₅	—	4	1	no	—
520	C₄×Dic₅	—	4	1	no	—
521	C₂×C₄⋊Q₈	—	5	1	no	—
522	C₂×#126	—	5	1	no	—
523	C₂×#125	—	5	1	no	—
524	C₂×C₂²⋊Q₈	—	5	1	no	—
525	C₂×C₂²⋊Q₈	—	5	1	no	—
526	C₂×C₂²⋊Q₈	—	5	1	no	—
527	C₂×C₄×D₄	—	5	1	no	—
528	C₂×#117	—	5	1	no	—
529	C₂²×C₄²	—	5	1	no	—
530	#401	—	5	1	no	—
531	#400	—	5	1	no	—
532	#400	—	5	1	no	—
533	#400	—	5	1	no	—
534	#400	—	5	1	no	—
535	#400	—	5	1	no	—
536	#400	—	5	1	no	—
537	#400	—	5	1	no	—
538	#400	—	5	1	no	—
539	#400	C₂×D₅	1	1	yes	characteristic
540	#400	C₂×D₅	1	1	yes	characteristic
541	#400	C₂×D₅	1	1	yes	characteristic
542	#400	C₂×D₅	1	1	yes	characteristic
543	#399	—	5	1	no	—
544	#398	—	5	1	no	—
545	#398	—	5	1	no	—
546	#398	—	5	1	no	—
547	#398	—	5	1	no	—
548	#398	—	5	1	no	—
549	#398	—	5	1	no	—
550	#398	—	5	1	no	—
551	#398	—	5	1	no	—
552	#398	—	5	1	no	—
553	#398	—	5	1	no	—
554	#398	—	5	1	no	—
555	#398	—	5	1	no	—
556	#397	—	5	1	no	—
557	#397	—	5	1	no	—
558	#397	—	5	1	no	—
559	#397	—	5	1	no	—
560	#397	—	5	1	no	—
561	#397	—	5	1	no	—
562	#397	—	5	1	no	—
563	#397	—	5	1	no	—
564	#397	—	5	1	no	—
565	#396	—	5	1	no	—
566	#396	—	5	1	no	—
567	#396	—	5	1	no	—
568	#395	—	5	1	no	—
569	#395	—	5	1	no	—
570	#395	—	5	1	no	—
571	#394	—	5	1	no	—
572	#394	—	5	1	no	—
573	#394	—	5	1	no	—
574	#394	—	5	1	no	—
575	#393	—	5	1	no	—
576	#393	—	5	1	no	—
577	#393	—	5	1	no	—
578	#391	—	5	1	no	—
579	#391	—	5	1	no	—
580	#391	—	5	1	no	—
581	#391	—	5	1	no	—
582	#391	—	5	1	no	—
583	#391	—	5	1	no	—
584	#391	—	5	1	no	—
585	#391	—	5	1	no	—
586	#391	—	5	1	no	—
587	#391	—	5	1	no	—
588	#389	—	5	1	no	—
589	#389	—	5	1	no	—
590	#389	—	5	1	no	—
591	#389	—	5	1	no	—
592	#389	—	5	1	no	—
593	#389	—	5	1	no	—
594	#389	—	5	1	no	—
595	#389	—	5	1	no	—
596	#389	C₂×D₅	1	1	yes	characteristic
597	#389	C₂×D₅	1	1	yes	characteristic
598	#388	—	5	1	no	—
599	#388	—	5	1	no	—
600	#388	—	5	1	no	—
601	#388	—	5	1	no	—
602	#388	—	5	1	no	—
603	#388	—	5	1	no	—
604	#388	—	5	1	no	—
605	#388	—	5	1	no	—
606	#388	—	5	1	no	—
607	#388	—	5	1	no	—
608	#388	—	5	1	no	—
609	#388	—	5	1	no	—
610	#388	—	5	1	no	—
611	#388	—	5	1	no	—
612	#388	—	5	1	no	—
613	#388	—	5	1	no	—
614	#388	—	5	1	no	—
615	#387	—	5	1	no	—
616	#387	—	5	1	no	—
617	#387	—	5	1	no	—
618	#387	—	5	1	no	—
619	#387	—	5	1	no	—
620	#387	—	5	1	no	—
621	#387	—	5	1	no	—
622	#387	—	5	1	no	—
623	#387	—	5	1	no	—
624	#387	—	5	1	no	—
625	#387	—	5	1	no	—
626	#387	—	5	1	no	—
627	#387	—	5	1	no	—
628	#387	—	5	1	no	—
629	#387	—	5	1	no	—
630	#387	—	5	1	no	—
631	#387	—	5	1	no	—
632	#387	—	5	1	no	—
633	#387	—	5	1	no	—
634	#387	—	5	1	no	—
635	#387	—	5	1	no	—
636	#387	—	5	1	no	—
637	#387	—	5	1	no	—
638	#387	—	5	1	no	—
639	#387	—	5	1	no	—
640	#387	—	5	1	no	—
641	#387	—	5	1	no	—
642	#387	C₂×D₅	1	1	yes	characteristic
643	#387	C₂×D₅	1	1	yes	characteristic
644	#387	C₂×D₅	1	1	yes	characteristic
645	#387	C₂×D₅	1	1	yes	characteristic
646	#387	C₂×D₅	1	1	yes	characteristic
647	#387	C₂×D₅	1	1	yes	characteristic
648	#386	—	5	1	no	—
649	#386	—	5	1	no	—
650	#385	—	5	1	no	—
651	#385	—	5	1	no	—
652	#385	—	5	1	no	—
653	#385	—	5	1	no	—
654	#385	—	5	1	no	—
655	#385	—	5	1	no	—
656	#385	—	5	1	no	—
657	#385	—	5	1	no	—
658	#384	—	5	1	no	—
659	#383	C₂×D₅	1	1	yes	characteristic
660	#382	—	5	1	no	—
661	#381	—	5	1	no	—
662	#381	—	5	1	no	—
663	#380	—	5	1	no	—
664	#380	—	5	1	no	—
665	#380	—	5	1	no	—
666	#380	—	5	1	no	—
667	#380	—	5	1	no	—
668	C₄×C₄⋊C₄	—	5	1	no	—
669	C₄×C₄⋊C₄	—	5	1	no	—
670	C₄×C₄⋊C₄	—	5	1	no	—
671	C₄×C₄⋊C₄	—	5	1	no	—
672	C₄×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
673	C₄×C₂²⋊C₄	—	5	1	no	—
674	C₄×C₂²⋊C₄	—	5	1	no	—
675	#376	C₂×D₅	1	1	yes	characteristic
676	C₂³×C₅	C₂⁵	1	1	yes	characteristic
677	C₂²×D₅	—	2	1	no	—
678	C₂²×D₅	—	2	1	no	—
679	C₂²×D₅	—	2	1	no	—
680	C₂²×D₅	—	2	1	no	—
681	C₂²×D₅	—	2	1	no	—
682	C₂²×D₅	—	2	1	no	—
683	C₂²×D₅	—	2	1	no	—
684	C₂²×D₅	—	2	1	no	—
685	C₂²×D₅	—	2	1	no	—
686	C₂²×D₅	—	2	1	no	—
687	C₂²×D₅	—	2	1	no	—
688	C₂²×D₅	—	2	1	no	—
689	C₂²×D₅	—	2	1	no	—
690	C₂²×D₅	C₂×#41	1	2	yes	—
691	C₂×C₄×C₅	—	2	1	no	—
692	C₂×C₄×C₅	—	2	1	no	—
693	C₂×C₄×C₅	—	2	1	no	—
694	C₂×C₄×C₅	—	2	1	no	—
695	C₂×C₄×C₅	—	2	1	no	—
696	C₂×C₄×C₅	—	2	1	no	—
697	C₂×C₄×C₅	—	2	1	no	—
698	C₂×C₄×C₅	—	2	1	no	—
699	C₂×C₄×C₅	—	2	1	no	—
700	C₂×C₄×C₅	—	2	1	no	—
701	C₂×C₄×C₅	—	2	1	no	—
702	C₂×C₄×C₅	—	2	1	no	—
703	C₂×C₄×C₅	—	2	1	no	—
704	C₂×C₄×C₅	—	2	1	no	—
705	C₂×C₄×C₅	—	2	1	no	—
706	C₂×C₄×C₅	—	2	1	no	—
707	C₂×C₄×C₅	—	2	1	no	—
708	C₂×C₄×C₅	—	2	1	no	—
709	C₂×C₄×C₅	—	2	1	no	—
710	C₂×C₄×C₅	—	2	1	no	—
711	C₂×C₄×C₅	—	2	1	no	—
712	C₂×C₄×C₅	—	2	1	no	—
713	C₂×C₄×C₅	—	2	1	no	—
714	C₂×C₄×C₅	—	2	1	no	—
715	C₂×C₄×C₅	—	2	1	no	—
716	C₂×C₄×C₅	—	2	1	no	—
717	C₂×C₄×C₅	—	2	1	no	—
718	C₂×C₄×C₅	—	2	1	no	—
719	C₂×C₄×C₅	—	2	1	no	—
720	C₂×C₄×C₅	—	2	1	no	—
721	C₂×C₄×C₅	—	2	1	no	—
722	C₂×C₄×C₅	—	2	1	no	—
723	C₂×C₄×C₅	—	2	1	no	—
724	C₂×C₄×C₅	—	2	1	no	—
725	C₂×C₄×C₅	—	2	1	no	—
726	C₂×C₄×C₅	—	2	1	no	—
727	C₂×C₄×C₅	—	2	1	no	—
728	C₂×C₄×C₅	—	2	1	no	—
729	C₂×C₄×C₅	—	2	1	no	—
730	C₂×C₄×C₅	—	2	1	no	—
731	C₂×C₄×C₅	—	2	1	no	—
732	C₂×C₄×C₅	—	2	1	no	—
733	C₂×C₄×C₅	—	2	1	no	—
734	C₂×C₄×C₅	C₂×#41	1	2	yes	—
735	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
736	C₂×Dic₅	—	2	1	no	—
737	C₂×Dic₅	—	2	1	no	—
738	C₂×Dic₅	—	2	1	no	—
739	C₂×Dic₅	—	2	1	no	—
740	C₂×Dic₅	—	2	1	no	—
741	C₂×Dic₅	—	2	1	no	—
742	C₂×Dic₅	—	2	1	no	—
743	C₂×Dic₅	—	2	1	no	—
744	C₂×Dic₅	—	2	1	no	—
745	C₂×Dic₅	—	2	1	no	—
746	C₂×Dic₅	—	2	1	no	—
747	C₂×Dic₅	—	2	1	no	—
748	C₂×Dic₅	—	2	1	no	—
749	C₂×Dic₅	—	2	1	no	—
750	C₂×Dic₅	—	2	1	no	—
751	C₂×Dic₅	—	2	1	no	—
752	C₂×Dic₅	—	2	1	no	—
753	C₂×Dic₅	—	2	1	no	—
754	C₂×Dic₅	—	2	1	no	—
755	C₂×Dic₅	—	2	1	no	—
756	C₂×Dic₅	—	2	1	no	—
757	C₂×Dic₅	—	2	1	no	—
758	C₂×Dic₅	—	2	1	no	—
759	C₂×Dic₅	—	2	1	no	—
760	C₂×Dic₅	—	2	1	no	—
761	C₂×Dic₅	—	2	1	no	—
762	C₂×Dic₅	—	2	1	no	—
763	C₂×Dic₅	—	2	1	no	—
764	C₂×Dic₅	—	2	1	no	—
765	C₂×Dic₅	—	2	1	no	—
766	C₂×Dic₅	—	2	1	no	—
767	C₂×Dic₅	—	2	1	no	—
768	C₂×Dic₅	—	2	1	no	—
769	C₂×Dic₅	—	2	1	no	—
770	C₂×Dic₅	—	2	1	no	—
771	C₂×Dic₅	—	2	1	no	—
772	C₂×Dic₅	—	2	1	no	—
773	C₂×Dic₅	—	2	1	no	—
774	C₂×Dic₅	—	2	1	no	—
775	C₂×Dic₅	C₂×#41	1	2	yes	—
776	C₂×Dic₅	2₋¹⁺⁴	1	2	yes	—
777	C₂×Dic₅	2₋¹⁺⁴	1	2	yes	—
778	D₂₀	—	4	4	no	—
779	C₄×D₅	—	4	4	no	—
780	C₄×D₅	—	4	4	no	—
781	C₄×D₅	—	4	4	no	—
782	C₄×D₅	—	4	4	no	—
783	Dic₁₀	—	8	2	no	—
784	Dic₁₀	—	8	2	no	—
785	Dic₁₀	—	8	2	no	—
786	C₂²×Q₈	—	5	1	no	—
787	C₂²×Q₈	—	5	1	no	—
788	C₂²×Q₈	—	5	1	no	—
789	C₂²×D₄	—	5	1	no	—
790	C₂³×C₄	—	5	1	no	—
791	C₂³×C₄	—	5	1	no	—
792	C₂³×C₄	—	5	1	no	—
793	C₂³×C₄	—	5	1	no	—
794	C₄⋊Q₈	—	20	2	no	—
795	#126	—	20	2	no	—
796	#125	—	20	2	no	—
797	C₂²⋊Q₈	—	10	4	no	—
798	C₂²⋊Q₈	—	10	4	no	—
799	C₂²⋊Q₈	—	20	2	no	—
800	C₄×D₄	—	10	4	no	—
801	#117	—	20	2	no	—
802	C₂×C₄⋊C₄	—	5	1	no	—
803	C₂×C₄⋊C₄	—	5	1	no	—
804	C₂×C₄⋊C₄	—	5	1	no	—
805	C₂×C₄⋊C₄	—	5	1	no	—
806	C₂×C₄⋊C₄	—	5	1	no	—
807	C₂×C₄⋊C₄	—	5	1	no	—
808	C₂×C₄⋊C₄	—	5	1	no	—
809	C₂×C₄⋊C₄	—	5	1	no	—
810	C₂×C₄⋊C₄	—	5	1	no	—
811	C₂×C₄⋊C₄	—	5	1	no	—
812	C₂×C₄⋊C₄	—	5	1	no	—
813	C₂×C₄⋊C₄	—	5	1	no	—
814	C₂×C₄⋊C₄	—	5	1	no	—
815	C₂×C₄⋊C₄	—	5	1	no	—
816	C₂×C₄⋊C₄	—	5	1	no	—
817	C₂×C₄⋊C₄	—	5	1	no	—
818	C₂×C₄⋊C₄	—	5	1	no	—
819	C₂×C₄⋊C₄	—	5	1	no	—
820	C₂×C₄⋊C₄	—	5	1	no	—
821	C₂×C₄⋊C₄	—	5	1	no	—
822	C₂×C₄⋊C₄	—	5	1	no	—
823	C₂×C₄⋊C₄	—	5	1	no	—
824	C₂×C₄⋊C₄	—	5	1	no	—
825	C₂×C₄⋊C₄	—	5	1	no	—
826	C₂×C₄⋊C₄	—	5	1	no	—
827	C₂×C₄⋊C₄	—	5	1	no	—
828	C₂×C₄⋊C₄	—	5	1	no	—
829	C₂×C₄⋊C₄	—	5	1	no	—
830	C₂×C₄⋊C₄	—	5	1	no	—
831	C₂×C₄⋊C₄	—	5	1	no	—
832	C₂×C₄⋊C₄	—	5	1	no	—
833	C₂×C₄⋊C₄	—	5	1	no	—
834	C₂×C₄⋊C₄	—	5	1	no	—
835	C₂×C₄⋊C₄	—	5	1	no	—
836	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
837	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
838	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
839	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
840	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
841	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
842	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
843	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
844	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
845	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
846	C₂×C₂²⋊C₄	—	5	1	no	—
847	C₂×C₂²⋊C₄	—	5	1	no	—
848	C₂×C₂²⋊C₄	—	5	1	no	—
849	C₂×C₂²⋊C₄	—	5	1	no	—
850	C₂×C₂²⋊C₄	—	5	1	no	—
851	C₂×C₂²⋊C₄	—	5	1	no	—
852	C₂×C₂²⋊C₄	—	5	1	no	—
853	C₂×C₂²⋊C₄	—	5	1	no	—
854	C₂×C₂²⋊C₄	—	5	1	no	—
855	C₂×C₂²⋊C₄	—	5	1	no	—
856	C₂×C₂²⋊C₄	—	5	1	no	—
857	C₂×C₂²⋊C₄	—	5	1	no	—
858	C₂×C₂²⋊C₄	—	5	1	no	—
859	C₂×C₂²⋊C₄	—	5	1	no	—
860	C₂×C₂²⋊C₄	—	5	1	no	—
861	C₂×C₂²⋊C₄	—	5	1	no	—
862	C₂×C₂²⋊C₄	—	5	1	no	—
863	C₂×C₂²⋊C₄	—	5	1	no	—
864	C₂×C₂²⋊C₄	—	5	1	no	—
865	C₂×C₂²⋊C₄	—	5	1	no	—
866	C₂×C₂²⋊C₄	—	5	1	no	—
867	C₂×C₂²⋊C₄	—	5	1	no	—
868	C₂×C₂²⋊C₄	—	5	1	no	—
869	C₂×C₂²⋊C₄	—	5	1	no	—
870	C₂×C₄²	—	5	1	no	—
871	C₂×C₄²	—	5	1	no	—
872	C₂×C₄²	—	5	1	no	—
873	C₂×C₄²	—	5	1	no	—
874	C₂×C₄²	—	5	1	no	—
875	C₂×C₄²	—	5	1	no	—
876	C₂×C₄²	—	5	1	no	—
877	C₂×C₄²	—	5	1	no	—
878	C₂×C₄²	—	5	1	no	—
879	C₂×C₄²	—	5	1	no	—
880	C₂×C₄²	—	20	2	no	—
881	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
882	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
883	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
884	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
885	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
886	#95	—	5	1	no	—
887	#95	—	5	1	no	—
888	#95	—	5	1	no	—
889	#95	—	5	1	no	—
890	#95	—	5	1	no	—
891	#95	—	5	1	no	—
892	#95	—	5	1	no	—
893	#95	—	5	1	no	—
894	#95	—	5	1	no	—
895	#95	—	5	1	no	—
896	#95	—	5	1	no	—
897	#95	—	5	1	no	—
898	#95	—	5	1	no	—
899	#95	—	5	1	no	—
900	#95	—	5	1	no	—
901	#95	—	5	1	no	—
902	#95	—	5	1	no	—
903	#95	—	5	1	no	—
904	#95	—	5	1	no	—
905	#95	—	5	1	no	—
906	#95	—	5	1	no	—
907	#95	—	5	1	no	—
908	#95	—	5	1	no	—
909	#95	—	5	1	no	—
910	#95	—	5	1	no	—
911	#95	—	5	1	no	—
912	#95	—	5	1	no	—
913	#95	—	5	1	no	—
914	#95	—	5	1	no	—
915	#95	—	5	1	no	—
916	#95	—	5	1	no	—
917	#95	—	5	1	no	—
918	#95	—	5	1	no	—
919	#95	—	5	1	no	—
920	#95	—	5	1	no	—
921	#95	—	5	1	no	—
922	#95	—	5	1	no	—
923	#95	—	5	1	no	—
924	#95	—	5	1	no	—
925	#95	—	5	1	no	—
926	#95	—	5	1	no	—
927	#95	—	5	1	no	—
928	#95	—	5	1	no	—
929	#95	—	5	1	no	—
930	#95	C₂²×D₅	1	1	yes	characteristic
931	#95	C₂²×D₅	1	1	yes	characteristic
932	#95	C₂²×D₅	1	1	yes	characteristic
933	#95	C₂²×D₅	1	1	yes	characteristic
934	#95	C₂²×D₅	1	1	yes	characteristic
935	#95	C₂²×D₅	1	1	yes	characteristic
936	#95	C₂²×D₅	1	1	yes	characteristic
937	#95	C₂²×D₅	1	1	yes	characteristic
938	#95	C₂²×D₅	1	1	yes	characteristic
939	#95	C₂²×D₅	1	1	yes	characteristic
940	#95	C₂²×D₅	1	1	yes	characteristic
941	#95	C₂²×D₅	1	1	yes	characteristic
942	#95	C₂²×D₅	1	1	yes	characteristic
943	#95	C₂²×D₅	1	1	yes	characteristic
944	#95	C₂²×D₅	1	1	yes	characteristic
945	#95	C₂²×D₅	1	1	yes	characteristic
946	#95	C₂²×D₅	1	1	yes	characteristic
947	#95	C₂²×D₅	1	1	yes	characteristic
948	#95	C₂²×D₅	1	1	yes	characteristic
949	#95	C₂²×D₅	1	1	yes	characteristic
950	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
951	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
952	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
953	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
954	C₂²×C₅	#585	1	1	yes	characteristic
955	C₂²×C₅	#585	1	1	yes	characteristic
956	C₂²×C₅	#585	1	1	yes	characteristic
957	C₂×D₅	—	2	2	no	—
958	C₂×D₅	—	2	2	no	—
959	C₂×D₅	—	2	2	no	—
960	C₂×D₅	—	4	1	no	—
961	C₂×D₅	—	4	1	no	—
962	C₂×D₅	—	4	1	no	—
963	C₂×D₅	—	4	1	no	—
964	C₂×D₅	—	4	1	no	—
965	C₂×D₅	—	4	1	no	—
966	C₂×D₅	—	4	1	no	—
967	C₂×D₅	—	4	1	no	—
968	C₂×D₅	—	4	1	no	—
969	C₂×D₅	—	4	1	no	—
970	C₂×D₅	—	4	1	no	—
971	C₄×C₅	—	2	2	no	—
972	C₄×C₅	—	2	2	no	—
973	C₄×C₅	—	4	1	no	—
974	C₄×C₅	—	4	1	no	—
975	C₄×C₅	—	4	1	no	—
976	C₄×C₅	—	4	1	no	—
977	C₄×C₅	—	4	1	no	—
978	C₄×C₅	—	4	1	no	—
979	C₄×C₅	—	4	1	no	—
980	C₄×C₅	—	4	1	no	—
981	C₄×C₅	—	4	1	no	—
982	C₄×C₅	—	4	1	no	—
983	C₄×C₅	—	4	1	no	—
984	C₄×C₅	—	4	1	no	—
985	C₄×C₅	—	4	1	no	—
986	Dic₅	—	2	2	no	—
987	Dic₅	—	2	2	no	—
988	Dic₅	—	2	2	no	—
989	Dic₅	—	4	1	no	—
990	Dic₅	—	4	1	no	—
991	Dic₅	—	4	1	no	—
992	Dic₅	—	4	1	no	—
993	Dic₅	—	4	1	no	—
994	Dic₅	—	4	1	no	—
995	Dic₅	—	4	1	no	—
996	Dic₅	—	4	1	no	—
997	Dic₅	—	4	1	no	—
998	Dic₅	—	4	1	no	—
999	Dic₅	—	4	1	no	—
1000	C₂⁴	—	5	1	no	—
1001	C₂⁴	—	5	1	no	—
1002	C₂×Q₈	—	10	2	no	—
1003	C₂×Q₈	—	10	2	no	—
1004	C₂×Q₈	—	10	2	no	—
1005	C₂×Q₈	—	20	1	no	—
1006	C₂×Q₈	—	20	1	no	—
1007	C₂×Q₈	—	20	1	no	—
1008	C₂×Q₈	—	20	1	no	—
1009	C₂×Q₈	—	20	1	no	—
1010	C₂×Q₈	—	20	1	no	—
1011	C₂×D₄	—	10	2	no	—
1012	C₂×D₄	—	20	1	no	—
1013	C₂×D₄	—	20	1	no	—
1014	C₂²×C₄	—	5	1	no	—
1015	C₂²×C₄	—	5	1	no	—
1016	C₂²×C₄	—	5	1	no	—
1017	C₂²×C₄	—	5	4	no	—
1018	C₂²×C₄	—	5	1	no	—
1019	C₂²×C₄	—	5	1	no	—
1020	C₂²×C₄	—	5	1	no	—
1021	C₂²×C₄	—	5	1	no	—
1022	C₂²×C₄	—	5	1	no	—
1023	C₂²×C₄	—	5	1	no	—
1024	C₂²×C₄	—	5	1	no	—
1025	C₂²×C₄	—	5	1	no	—
1026	C₂²×C₄	—	5	1	no	—
1027	C₂²×C₄	—	5	1	no	—
1028	C₂²×C₄	—	5	1	no	—
1029	C₂²×C₄	—	10	2	no	—
1030	C₂²×C₄	—	10	2	no	—
1031	C₂²×C₄	—	10	2	no	—
1032	C₂²×C₄	—	10	2	no	—
1033	C₂²×C₄	—	20	1	no	—
1034	C₂²×C₄	—	20	1	no	—
1035	C₂²×C₄	—	20	1	no	—
1036	C₂²×C₄	—	20	1	no	—
1037	C₂²×C₄	—	20	1	no	—
1038	C₂²×C₄	—	20	1	no	—
1039	C₂²×C₄	—	20	1	no	—
1040	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1041	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1042	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1043	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1044	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1045	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1046	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1047	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1048	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1049	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1050	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1051	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1052	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1053	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1054	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1055	C₄⋊C₄	—	2	2	no	—
1056	C₄⋊C₄	—	2	2	no	—
1057	C₄⋊C₄	—	2	2	no	—
1058	C₄⋊C₄	—	2	2	no	—
1059	C₄⋊C₄	—	4	1	no	—
1060	C₄⋊C₄	—	4	1	no	—
1061	C₄⋊C₄	—	4	1	no	—
1062	C₄⋊C₄	—	4	1	no	—
1063	C₄⋊C₄	—	4	1	no	—
1064	C₄⋊C₄	—	4	1	no	—
1065	C₄⋊C₄	—	10	2	no	—
1066	C₄⋊C₄	—	10	2	no	—
1067	C₄⋊C₄	—	10	2	no	—
1068	C₄⋊C₄	—	10	2	no	—
1069	C₄⋊C₄	—	10	2	no	—
1070	C₄⋊C₄	—	10	2	no	—
1071	C₄⋊C₄	—	10	2	no	—
1072	C₄⋊C₄	—	10	2	no	—
1073	C₄⋊C₄	—	10	2	no	—
1074	C₄⋊C₄	—	10	2	no	—
1075	C₄⋊C₄	—	10	2	no	—
1076	C₄⋊C₄	—	10	2	no	—
1077	C₄⋊C₄	—	10	2	no	—
1078	C₄⋊C₄	—	20	1	no	—
1079	C₄⋊C₄	—	20	1	no	—
1080	C₄⋊C₄	—	20	1	no	—
1081	C₄⋊C₄	—	20	1	no	—
1082	C₄⋊C₄	—	20	1	no	—
1083	C₄⋊C₄	—	20	1	no	—
1084	C₄⋊C₄	—	20	1	no	—
1085	C₄⋊C₄	—	20	1	no	—
1086	C₄⋊C₄	—	20	1	no	—
1087	C₄⋊C₄	—	20	1	no	—
1088	C₄⋊C₄	—	20	1	no	—
1089	C₄⋊C₄	—	20	1	no	—
1090	C₄⋊C₄	—	20	1	no	—
1091	C₄⋊C₄	—	20	1	no	—
1092	C₄⋊C₄	—	20	1	no	—
1093	C₄⋊C₄	—	20	1	no	—
1094	C₄⋊C₄	—	20	1	no	—
1095	C₄⋊C₄	—	20	1	no	—
1096	C₄⋊C₄	—	20	1	no	—
1097	C₄⋊C₄	—	20	1	no	—
1098	C₄⋊C₄	—	20	1	no	—
1099	C₂²⋊C₄	—	10	2	no	—
1100	C₂²⋊C₄	—	10	2	no	—
1101	C₂²⋊C₄	—	10	2	no	—
1102	C₂²⋊C₄	—	10	2	no	—
1103	C₂²⋊C₄	—	10	2	no	—
1104	C₂²⋊C₄	—	10	2	no	—
1105	C₂²⋊C₄	—	10	2	no	—
1106	C₂²⋊C₄	—	10	2	no	—
1107	C₂²⋊C₄	—	10	2	no	—
1108	C₂²⋊C₄	—	20	1	no	—
1109	C₂²⋊C₄	—	20	1	no	—
1110	C₂²⋊C₄	—	20	1	no	—
1111	C₂²⋊C₄	—	20	1	no	—
1112	C₂²⋊C₄	—	20	1	no	—
1113	C₂²⋊C₄	—	20	1	no	—
1114	C₂²⋊C₄	—	20	1	no	—
1115	C₂²⋊C₄	—	20	1	no	—
1116	C₂²⋊C₄	—	20	1	no	—
1117	C₂²⋊C₄	—	20	1	no	—
1118	C₂²⋊C₄	—	20	1	no	—
1119	C₂²⋊C₄	—	20	1	no	—
1120	C₂²⋊C₄	—	20	1	no	—
1121	C₂²⋊C₄	—	20	1	no	—
1122	C₂²⋊C₄	—	20	1	no	—
1123	C₄²	—	2	2	no	—
1124	C₄²	—	2	2	no	—
1125	C₄²	—	4	1	no	—
1126	C₄²	—	4	1	no	—
1127	C₄²	—	4	1	no	—
1128	C₄²	—	10	2	no	—
1129	C₄²	—	20	1	no	—
1130	C₄²	—	20	1	no	—
1131	C₄²	—	20	1	no	—
1132	C₄²	—	20	1	no	—
1133	C₄²	—	20	1	no	—
1134	C₄²	—	20	1	no	—
1135	C₄²	—	20	1	no	—
1136	C₄²	—	20	1	no	—
1137	C₄²	—	20	1	no	—
1138	C₂×C₅	#3455	1	1	yes	characteristic
1139	C₂×C₅	#3505	1	1	yes	characteristic
1140	C₂×C₅	#3509	1	1	yes	characteristic
1141	C₂×C₅	#3535	1	1	yes	characteristic
1142	C₂×C₅	#3541	1	1	yes	characteristic
1143	C₂×C₅	#3557	1	1	yes	characteristic
1144	C₂×C₅	#3565	1	1	yes	characteristic
1145	D₅	—	4	2	no	—
1146	D₅	—	8	1	no	—
1147	C₂³	—	5	2	no	—
1148	C₂³	—	10	1	no	—
1149	C₂³	—	10	1	no	—
1150	C₂³	—	10	1	no	—
1151	C₂³	—	10	1	no	—
1152	C₂³	—	10	1	no	—
1153	C₂³	—	10	1	no	—
1154	C₂³	—	10	1	no	—
1155	C₂³	—	10	1	no	—
1156	C₂³	—	10	1	no	—
1157	C₂³	—	10	1	no	—
1158	C₂³	—	10	1	no	—
1159	C₂³	—	10	1	no	—
1160	C₂³	—	10	1	no	—
1161	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1162	Q₈	—	40	2	no	—
1163	Q₈	—	40	2	no	—
1164	Q₈	—	40	2	no	—
1165	D₄	—	20	4	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	5	2	no	—
1210	C₂×C₄	—	5	2	no	—
1211	C₂×C₄	—	5	2	no	—
1212	C₂×C₄	—	10	1	no	—
1213	C₂×C₄	—	10	1	no	—
1214	C₂×C₄	—	10	1	no	—
1215	C₂×C₄	—	10	1	no	—
1216	C₂×C₄	—	10	1	no	—
1217	C₂×C₄	—	10	1	no	—
1218	C₂×C₄	—	10	1	no	—
1219	C₂×C₄	—	10	1	no	—
1220	C₂×C₄	—	10	1	no	—
1221	C₂×C₄	—	10	1	no	—
1222	C₂×C₄	—	10	1	no	—
1223	C₂×C₄	—	10	1	no	—
1224	C₂×C₄	—	10	1	no	—
1225	C₂×C₄	—	10	1	no	—
1226	C₂×C₄	—	10	1	no	—
1227	C₂×C₄	—	10	1	no	—
1228	C₂×C₄	—	10	1	no	—
1229	C₂×C₄	—	10	1	no	—
1230	C₂×C₄	—	10	1	no	—
1231	C₂×C₄	—	10	1	no	—
1232	C₂×C₄	—	10	1	no	—
1233	C₂×C₄	—	10	1	no	—
1234	C₂×C₄	—	10	1	no	—
1235	C₂×C₄	—	10	1	no	—
1236	C₂×C₄	—	10	1	no	—
1237	C₂×C₄	—	10	1	no	—
1238	C₂×C₄	—	10	1	no	—
1239	C₂×C₄	—	10	1	no	—
1240	C₂×C₄	—	10	1	no	—
1241	C₂×C₄	—	10	1	no	—
1242	C₂×C₄	—	10	1	no	—
1243	C₂×C₄	—	10	1	no	—
1244	C₂×C₄	—	10	1	no	—
1245	C₂×C₄	—	10	1	no	—
1246	C₂×C₄	—	10	1	no	—
1247	C₂×C₄	—	10	1	no	—
1248	C₂×C₄	—	10	1	no	—
1249	C₂×C₄	—	10	1	no	—
1250	C₂×C₄	—	10	1	no	—
1251	C₂×C₄	—	20	4	no	—
1252	C₂×C₄	—	20	4	no	—
1253	C₂×C₄	—	20	4	no	—
1254	C₂×C₄	—	20	4	no	—
1255	C₂×C₄	D₅×#41	1	2	yes	—
1256	C₂×C₄	#4149	1	2	yes	—
1257	C₅	#36772	1	1	yes	characteristic, complemented, Sylow
1258	C₂²	—	10	2	no	—
1259	C₂²	—	10	2	no	—
1260	C₂²	—	10	2	no	—
1261	C₂²	—	20	1	no	—
1262	C₂²	—	20	1	no	—
1263	C₂²	—	20	1	no	—
1264	C₂²	—	20	1	no	—
1265	C₂²	—	20	1	no	—
1266	C₂²	—	20	1	no	—
1267	C₂²	—	20	1	no	—
1268	C₂²	—	20	1	no	—
1269	C₂²	—	20	1	no	—
1270	C₂²	—	20	1	no	—
1271	C₂²	—	20	1	no	—
1272	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1273	C₂²	C₂×#4149	1	1	yes	characteristic
1274	C₂²	#66283	1	1	yes	characteristic
1275	C₂²	#66283	1	1	yes	characteristic
1276	C₂²	#66283	1	1	yes	characteristic
1277	C₂²	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1278	C₂²	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1279	C₄	—	2	2	no	—
1280	C₄	—	2	2	no	—
1281	C₄	—	4	1	no	—
1282	C₄	—	4	1	no	—
1283	C₄	—	4	1	no	—
1284	C₄	—	4	1	no	—
1285	C₄	—	4	1	no	—
1286	C₄	—	4	1	no	—
1287	C₄	—	4	1	no	—
1288	C₄	—	4	1	no	—
1289	C₄	—	4	1	no	—
1290	C₄	—	4	1	no	—
1291	C₄	—	4	1	no	—
1292	C₄	—	4	1	no	—
1293	C₄	—	4	1	no	—
1294	C₄	—	10	2	no	—
1295	C₄	—	10	2	no	—
1296	C₄	—	10	2	no	—
1297	C₄	—	20	1	no	—
1298	C₄	—	20	1	no	—
1299	C₄	—	20	1	no	—
1300	C₄	—	20	1	no	—
1301	C₄	—	20	1	no	—
1302	C₄	—	20	1	no	—
1303	C₄	—	20	1	no	—
1304	C₄	—	20	1	no	—
1305	C₄	—	20	1	no	—
1306	C₄	—	20	1	no	—
1307	C₄	—	20	1	no	—
1308	C₂	—	20	2	no	—
1309	C₂	—	40	1	no	—
1310	C₂	#10618047	1	1	yes	characteristic
1311	C₂	#10618059	1	1	yes	characteristic
1312	C₂	#10618411	1	1	yes	characteristic
1313	C₂	#10618745	1	1	yes	characteristic
1314	C₂	#10618746	1	1	yes	characteristic
1315	C₂	#10618751	1	1	yes	characteristic
1316	C₂	#10618902	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅
commutator, socle, cosocle	C₂³×C₅	C₂⁵
Fitting	C₅×#2533	C₂
prime radical	C₂²×D₂₀	C₂³
hypercenter	#2533	D₅
hypocenter	C₅	#36772
LCS	G ▷ C₂³×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ #2533

Complements

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

N	H ≅ G/N	type
1. C₅×#2533	C₂	semidirect
2. #10610120	C₂	semidirect
3. #10610099	C₂	semidirect
4. #10610037	C₂	semidirect
5. #10610030	C₂	semidirect
8. #10609986	C₂	semidirect
9. #10609975	C₂	semidirect
10. #10608019	C₂	semidirect
12. #10607897	C₂	semidirect
13. #10607755	C₂	semidirect
14. #10607179	C₂	semidirect
18. #10607032	C₂	semidirect
19. #10607000	C₂	semidirect
20. #10606975	C₂	semidirect
21. #10606888	C₂	semidirect
22. #10606844	C₂	semidirect
23. #10606838	C₂	semidirect
24. #10606837	C₂	semidirect
25. #10606748	C₂	semidirect
26. #10606018	C₂	semidirect
27. #10606013	C₂	semidirect
28. #10605542	C₂	semidirect
29. #10605495	C₂	semidirect
31. #10605130	C₂	semidirect
376. #2533	D₅	semidirect
1257. C₅	#36772	semidirect

Maximal subgroups

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

subgroup	index
C₅×#2533	2
#10610120	2
#10610099	2
#10610037	2
#10610030	2
#10610019	2
#10610017	2
#10609986	2
#10609975	2
#10608019	2
#10607997	2
#10607897	2
#10607755	2
#10607179	2
#10607141	2
#10607110	2
#10607032	2
#10607000	2
#10606975	2
#10606888	2
#10606844	2
#10606838	2
#10606837	2
#10606748	2
#10606018	2
#10606013	2
#10605542	2
#10605495	2
#10605145	2
#10605130	2
#36772	5