Subgroups — #12272391

Order 1280.

1690 conjugacy classes of subgroups.

The subgroup lattice has 1322 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#2590	C₂	1	1	yes	maximal, characteristic, complemented
2	#10610094	C₂	1	1	yes	maximal, characteristic
3	#10609889	C₂	1	1	yes	maximal, characteristic, complemented
4	#10609696	C₂	1	1	yes	maximal, characteristic
5	#10609695	C₂	1	1	yes	maximal, characteristic
6	#10609695	C₂	1	1	yes	maximal, characteristic
7	#10609498	C₂	1	1	yes	maximal, characteristic, complemented
8	#10609479	C₂	1	1	yes	maximal, characteristic, complemented
9	#10609478	C₂	1	1	yes	maximal, characteristic, complemented
10	#10608019	C₂	1	1	yes	maximal, characteristic
11	#10608019	C₂	1	1	yes	maximal, characteristic
12	#10607930	C₂	1	1	yes	maximal, characteristic
13	#10607823	C₂	1	1	yes	maximal, characteristic, complemented
14	#10607822	C₂	1	1	yes	maximal, characteristic, complemented
15	#10607767	C₂	1	1	yes	maximal, characteristic, complemented
16	#10607179	C₂	1	1	yes	maximal, characteristic
17	#10607179	C₂	1	1	yes	maximal, characteristic
18	#10607030	C₂	1	1	yes	maximal, characteristic
19	#10607027	C₂	1	1	yes	maximal, characteristic
20	#10607027	C₂	1	1	yes	maximal, characteristic
21	#10606837	C₂	1	1	yes	maximal, characteristic, complemented
22	#10606836	C₂	1	1	yes	maximal, characteristic, complemented
23	#10606834	C₂	1	1	yes	maximal, characteristic, complemented
24	#10606762	C₂	1	1	yes	maximal, characteristic, complemented
25	#10606718	C₂	1	1	yes	maximal, characteristic, complemented
26	#10606716	C₂	1	1	yes	maximal, characteristic, complemented
27	#10606672	C₂	1	1	yes	maximal, characteristic
28	C₄×#4042	C₂	1	1	yes	maximal, characteristic
29	C₄×D₅×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic
30	#10605465	C₂	1	1	yes	maximal, characteristic, complemented
31	#10605462	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#4042	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×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
37	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
38	C₂×#4034	C₂²	1	1	yes	characteristic
39	C₂×#4034	C₂²	1	1	yes	characteristic
40	C₂×#4033	C₂²	1	1	yes	characteristic
41	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
42	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
43	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
44	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic
45	C₅×#400	C₂²	1	1	yes	characteristic
46	C₅×#398	C₂²	1	1	yes	characteristic
47	C₅×#398	C₂²	1	1	yes	characteristic
48	C₅×#398	C₂²	1	1	yes	characteristic
49	C₅×#389	C₂²	1	1	yes	characteristic
50	C₅×#389	C₂²	1	1	yes	characteristic
51	C₅×#389	C₂²	1	1	yes	characteristic
52	C₅×#387	C₂²	1	1	yes	characteristic
53	C₅×#387	C₂²	1	1	yes	characteristic
54	C₅×#387	C₂²	1	1	yes	characteristic
55	C₅×#387	C₂²	1	1	yes	characteristic
56	C₅×#387	C₂²	1	1	yes	characteristic
57	C₅×#387	C₂²	1	1	yes	characteristic
58	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
59	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
60	#65278	C₂²	1	1	yes	characteristic
61	#65278	C₂²	1	1	yes	characteristic
62	#65278	C₂²	1	1	yes	characteristic
63	#65278	C₂²	1	1	yes	characteristic
64	#65276	C₂²	1	1	yes	characteristic
65	#65276	C₂²	1	1	yes	characteristic
66	#65276	C₂²	1	1	yes	characteristic
67	#65276	C₂²	1	1	yes	characteristic
68	#65275	C₂²	1	1	yes	characteristic
69	#65274	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	#65273	C₂²	1	1	yes	characteristic
75	#65273	C₂²	1	1	yes	characteristic
76	#65272	C₂²	1	1	yes	characteristic
77	#65272	C₂²	1	1	yes	characteristic
78	#65272	C₂²	1	1	yes	characteristic
79	#65271	C₂²	1	1	yes	characteristic
80	#65270	C₂²	1	1	yes	characteristic
81	#65270	C₂²	1	1	yes	characteristic
82	#65270	C₂²	1	1	yes	characteristic
83	#65270	C₂²	1	1	yes	characteristic
84	#65269	C₂²	1	1	yes	characteristic
85	#65268	C₂²	1	1	yes	characteristic
86	#65268	C₂²	1	1	yes	characteristic
87	#65267	C₂²	1	1	yes	characteristic
88	#65267	C₂²	1	1	yes	characteristic
89	#65267	C₂²	1	1	yes	characteristic
90	#65267	C₂²	1	1	yes	characteristic
91	#65267	C₂²	1	1	yes	characteristic
92	#65267	C₂²	1	1	yes	characteristic
93	#65265	C₂²	1	1	yes	characteristic
94	#65265	C₂²	1	1	yes	characteristic
95	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
96	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
97	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
98	#65263	C₂²	1	1	yes	characteristic
99	#65261	C₂²	1	1	yes	characteristic
100	#65261	C₂²	1	1	yes	characteristic
101	#65261	C₂²	1	1	yes	characteristic
102	#65261	C₂²	1	1	yes	characteristic
103	#65261	C₂²	1	1	yes	characteristic
104	#65261	C₂²	1	1	yes	characteristic
105	#65261	C₂²	1	1	yes	characteristic
106	#65261	C₂²	1	1	yes	characteristic
107	C₄×#685	C₂²	1	1	yes	characteristic
108	C₄×#685	C₂²	1	1	yes	characteristic
109	C₄×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
110	#65222	C₂²	1	1	yes	characteristic
111	#65222	C₂²	1	1	yes	characteristic
112	#65222	C₂²	1	1	yes	characteristic
113	#65222	C₂²	1	1	yes	characteristic
114	#65222	C₂²	1	1	yes	characteristic
115	#65222	C₂²	1	1	yes	characteristic
116	C₄×#683	C₂²	1	1	yes	characteristic
117	C₄×#683	C₂²	1	1	yes	characteristic
118	C₄×#683	C₂²	1	1	yes	characteristic
119	C₄×#683	C₂²	1	1	yes	characteristic
120	#65218	C₂²	1	1	yes	characteristic
121	#65217	C₂²	1	1	yes	characteristic
122	#65217	C₂²	1	1	yes	characteristic
123	#64957	C₂²	1	1	yes	characteristic
124	#64957	C₂²	1	1	yes	characteristic
125	#64957	C₂²	1	1	yes	characteristic
126	#64957	C₂²	1	1	yes	characteristic
127	#64956	C₂²	1	1	yes	characteristic
128	#64956	C₂²	1	1	yes	characteristic
129	#64956	C₂²	1	1	yes	characteristic
130	#64956	C₂²	1	1	yes	characteristic
131	#64955	C₂²	1	1	yes	characteristic
132	#64955	C₂²	1	1	yes	characteristic
133	#64953	C₂²	1	1	yes	characteristic
134	#64953	C₂²	1	1	yes	characteristic
135	#64953	C₂²	1	1	yes	characteristic
136	#64953	C₂²	1	1	yes	characteristic
137	D₅×#95	C₂²	1	1	yes	characteristic
138	D₅×#95	C₂²	1	1	yes	characteristic
139	#64950	C₂²	1	1	yes	characteristic
140	#64949	C₂²	1	1	yes	characteristic
141	#64949	C₂²	1	1	yes	characteristic
142	#64949	C₂²	1	1	yes	characteristic
143	#64949	C₂²	1	1	yes	characteristic
144	#64948	C₂²	1	1	yes	characteristic
145	#64947	C₂²	1	1	yes	characteristic
146	#64947	C₂²	1	1	yes	characteristic
147	#64947	C₂²	1	1	yes	characteristic
148	#64947	C₂²	1	1	yes	characteristic
149	#64946	C₂²	1	1	yes	characteristic
150	#64946	C₂²	1	1	yes	characteristic
151	#64945	C₂²	1	1	yes	characteristic
152	#64945	C₂²	1	1	yes	characteristic
153	#64944	C₂²	1	1	yes	characteristic
154	#64944	C₂²	1	1	yes	characteristic
155	#64944	C₂²	1	1	yes	characteristic
156	#64944	C₂²	1	1	yes	characteristic
157	#64943	C₂²	1	1	yes	characteristic
158	#64943	C₂²	1	1	yes	characteristic
159	#64942	C₂²	1	1	yes	characteristic
160	#64942	C₂²	1	1	yes	characteristic
161	#64942	C₂²	1	1	yes	characteristic
162	#64942	C₂²	1	1	yes	characteristic
163	#64941	C₂²	1	1	yes	characteristic
164	#64941	C₂²	1	1	yes	characteristic
165	#64941	C₂²	1	1	yes	characteristic
166	#64941	C₂²	1	1	yes	characteristic
167	#64938	C₂²	1	1	yes	characteristic
168	#64938	C₂²	1	1	yes	characteristic
169	#64938	C₂²	1	1	yes	characteristic
170	#64938	C₂²	1	1	yes	characteristic
171	#64936	C₂²	1	1	yes	characteristic
172	#64936	C₂²	1	1	yes	characteristic
173	#64936	C₂²	1	1	yes	characteristic
174	#64936	C₂²	1	1	yes	characteristic
175	#64935	C₂²	1	1	yes	characteristic
176	#64935	C₂²	1	1	yes	characteristic
177	#64935	C₂²	1	1	yes	characteristic
178	#64935	C₂²	1	1	yes	characteristic
179	#64935	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	#35015	—	5	1	no	maximal, Sylow
188	C₂²×C₄×D₅	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×C₄×D₅	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
195	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
196	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
197	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
198	C₂²×Dic₁₀	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×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₅	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×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
236	C₂×#683	C₂³	1	1	yes	characteristic
237	C₂×#683	C₂³	1	1	yes	characteristic
238	C₂×#683	C₂³	1	1	yes	characteristic
239	C₂×#683	C₂³	1	1	yes	characteristic
240	C₂×#683	C₂³	1	1	yes	characteristic
241	C₂×#683	C₂³	1	1	yes	characteristic
242	C₂×#683	C₂³	1	1	yes	characteristic
243	C₂×#683	C₂³	1	1	yes	characteristic
244	C₂×#683	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×C₄×Dic₅	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₅	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	#4042	—	2	4	no	—
280	#4042	—	2	4	no	—
281	#4042	—	2	4	no	—
282	#4042	—	2	4	no	—
283	D₅×C₄⋊C₄	—	2	4	no	—
284	D₅×C₄⋊C₄	Q₈	1	8	yes	complemented
285	#4034	—	4	2	no	—
286	#4034	—	4	2	no	—
287	#4033	—	4	2	no	—
288	C₄²×D₅	—	2	4	no	—
289	C₄²×D₅	—	4	2	no	—
290	C₄²×D₅	—	4	2	no	—
291	C₄×Dic₁₀	—	4	2	no	—
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	#3963	C₂³	1	1	yes	characteristic
353	#3963	C₂³	1	1	yes	characteristic
354	#3963	C₂³	1	1	yes	characteristic
355	#3963	C₂³	1	1	yes	characteristic
356	#2857	—	5	1	no	—
357	#2857	—	5	1	no	—
358	#2855	—	5	1	no	—
359	#2855	—	5	1	no	—
360	#2646	—	5	1	no	—
361	#2646	—	5	1	no	—
362	#2627	—	5	1	no	—
363	#2627	—	5	1	no	—
364	#2590	—	5	1	no	—
365	#2590	—	5	1	no	—
366	#2590	—	5	1	no	—
367	#2590	D₅	1	1	yes	characteristic, complemented
368	#2588	—	5	1	no	—
369	#2588	—	5	1	no	—
370	#2588	—	5	1	no	—
371	#2588	—	5	1	no	—
372	#2511	—	5	1	no	—
373	#2511	—	5	1	no	—
374	#2507	—	5	1	no	—
375	#2507	—	5	1	no	—
376	#2451	—	5	1	no	—
377	#2451	—	5	1	no	—
378	#2446	—	5	1	no	—
379	#2446	—	5	1	no	—
380	#2329	—	5	1	no	—
381	#2329	—	5	1	no	—
382	#2313	—	5	1	no	—
383	#2313	—	5	1	no	—
384	C₄×C₂²⋊Q₈	—	5	1	no	—
385	C₄×C₂²⋊Q₈	—	5	1	no	—
386	C₂×C₄×C₄⋊C₄	—	5	1	no	—
387	C₂³×D₅	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×C₄×C₅	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₅	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	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
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	—	2	2	no	—
422	C₂×C₄×D₅	—	2	2	no	—
423	C₂×C₄×D₅	—	2	2	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	—	4	1	no	—
429	C₂×C₄×D₅	—	4	1	no	—
430	C₂×C₄×D₅	—	4	1	no	—
431	C₂×C₄×D₅	—	4	1	no	—
432	C₂×C₄×D₅	—	4	1	no	—
433	C₂×C₄×D₅	—	4	1	no	—
434	C₂×C₄×D₅	C₂×Q₈	1	4	yes	—
435	C₂×C₄×D₅	C₂×Q₈	1	4	yes	—
436	C₂×C₄×D₅	C₂×Q₈	1	4	yes	—
437	C₂×C₄×D₅	#41	1	4	yes	—
438	C₂×C₄×D₅	#41	1	4	yes	—
439	C₂×Dic₁₀	—	2	2	no	—
440	C₂×Dic₁₀	—	2	2	no	—
441	C₂×Dic₁₀	—	2	2	no	—
442	C₂×Dic₁₀	—	2	2	no	—
443	C₂×Dic₁₀	—	2	2	no	—
444	C₂×Dic₁₀	—	2	2	no	—
445	C₂×Dic₁₀	—	2	2	no	—
446	C₂×Dic₁₀	—	2	2	no	—
447	C₂×Dic₁₀	—	4	1	no	—
448	C₂×Dic₁₀	—	4	1	no	—
449	C₂×Dic₁₀	—	4	1	no	—
450	C₂×Dic₁₀	—	4	1	no	—
451	C₅×C₄⋊C₄	—	2	2	no	—
452	C₅×C₄⋊C₄	—	2	2	no	—
453	C₅×C₄⋊C₄	—	2	2	no	—
454	C₅×C₄⋊C₄	—	2	2	no	—
455	C₅×C₄⋊C₄	—	2	2	no	—
456	C₅×C₄⋊C₄	—	4	1	no	—
457	C₅×C₄⋊C₄	—	4	1	no	—
458	C₅×C₄⋊C₄	—	4	1	no	—
459	C₅×C₄⋊C₄	—	4	1	no	—
460	C₅×C₄⋊C₄	—	4	1	no	—
461	C₅×C₄⋊C₄	—	4	1	no	—
462	C₅×C₄⋊C₄	—	4	1	no	—
463	C₅×C₄⋊C₄	—	4	1	no	—
464	C₅×C₄⋊C₄	C₂×Q₈	1	4	yes	—
465	C₄²×C₅	—	2	2	no	—
466	C₄²×C₅	—	4	1	no	—
467	C₄²×C₅	—	4	1	no	—
468	C₄²×C₅	—	4	1	no	—
469	C₄²×C₅	—	4	1	no	—
470	#685	—	2	2	no	—
471	#685	—	2	2	no	—
472	#685	—	2	2	no	—
473	#685	—	2	2	no	—
474	#685	—	2	2	no	—
475	#685	—	2	2	no	—
476	#685	—	2	2	no	—
477	#685	—	2	2	no	—
478	C₄⋊Dic₅	—	2	2	no	—
479	C₄⋊Dic₅	—	4	1	no	—
480	C₄⋊Dic₅	—	4	1	no	—
481	C₄⋊Dic₅	—	4	1	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	C₄⋊Dic₅	C₂×Q₈	1	4	yes	—
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	—	2	2	no	—
496	#683	—	2	2	no	—
497	#683	—	2	2	no	—
498	#683	—	2	2	no	—
499	#683	—	2	2	no	—
500	#683	—	2	2	no	—
501	#683	—	2	2	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	#683	—	4	1	no	—
512	#683	—	4	1	no	—
513	#683	—	4	1	no	—
514	#683	C₂×Q₈	1	4	yes	—
515	#683	C₂×Q₈	1	4	yes	—
516	C₄×Dic₅	—	2	2	no	—
517	C₄×Dic₅	—	2	2	no	—
518	C₄×Dic₅	—	2	2	no	—
519	C₄×Dic₅	—	2	2	no	—
520	C₄×Dic₅	—	2	2	no	—
521	C₄×Dic₅	—	2	2	no	—
522	C₄×Dic₅	—	2	2	no	—
523	C₄×Dic₅	—	4	1	no	—
524	C₄×Dic₅	—	4	1	no	—
525	C₄×Dic₅	—	4	1	no	—
526	C₄×Dic₅	—	4	1	no	—
527	C₄×Dic₅	—	4	1	no	—
528	C₄×Dic₅	—	4	1	no	—
529	C₄×Dic₅	—	4	1	no	—
530	C₄×Dic₅	—	4	1	no	—
531	C₂×C₄⋊Q₈	—	5	1	no	—
532	C₂×C₄⋊Q₈	—	5	1	no	—
533	C₂×C₂²⋊Q₈	—	5	1	no	—
534	C₂×C₂²⋊Q₈	—	5	1	no	—
535	C₂×C₂²⋊Q₈	—	5	1	no	—
536	C₂×C₂²⋊Q₈	—	5	1	no	—
537	C₂×C₄×Q₈	—	5	1	no	—
538	C₂×C₄×Q₈	—	5	1	no	—
539	C₂²×C₄⋊C₄	—	5	1	no	—
540	C₂²×C₄⋊C₄	—	5	1	no	—
541	C₂²×C₄²	—	5	1	no	—
542	C₂²×C₄²	—	5	1	no	—
543	C₂²×C₄²	—	5	1	no	—
544	#400	—	5	1	no	—
545	#400	—	5	1	no	—
546	#400	—	5	1	no	—
547	#400	—	5	1	no	—
548	#400	—	5	1	no	—
549	#400	—	5	1	no	—
550	#400	—	5	1	no	—
551	#400	—	5	1	no	—
552	#400	—	5	1	no	—
553	#400	—	5	1	no	—
554	#400	—	5	1	no	—
555	#400	C₂×D₅	1	1	yes	characteristic
556	#398	—	5	1	no	—
557	#398	—	5	1	no	—
558	#398	—	5	1	no	—
559	#398	—	5	1	no	—
560	#398	—	5	1	no	—
561	#398	—	5	1	no	—
562	#398	—	5	1	no	—
563	#398	—	5	1	no	—
564	#398	—	5	1	no	—
565	#398	—	5	1	no	—
566	#398	—	5	1	no	—
567	#398	—	5	1	no	—
568	#398	—	5	1	no	—
569	#398	C₂×D₅	1	1	yes	characteristic
570	#398	C₂×D₅	1	1	yes	characteristic
571	#398	C₂×D₅	1	1	yes	characteristic
572	#395	—	5	1	no	—
573	#395	—	5	1	no	—
574	#395	—	5	1	no	—
575	#395	—	5	1	no	—
576	#391	—	5	1	no	—
577	#391	—	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	#391	—	5	1	no	—
589	#391	—	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	—	5	1	no	—
597	#389	—	5	1	no	—
598	#389	—	5	1	no	—
599	#389	—	5	1	no	—
600	#389	—	5	1	no	—
601	#389	—	5	1	no	—
602	#389	—	5	1	no	—
603	#389	—	5	1	no	—
604	#389	—	5	1	no	—
605	#389	C₂×D₅	1	1	yes	characteristic
606	#389	C₂×D₅	1	1	yes	characteristic
607	#389	C₂×D₅	1	1	yes	characteristic
608	#387	—	5	1	no	—
609	#387	—	5	1	no	—
610	#387	—	5	1	no	—
611	#387	—	5	1	no	—
612	#387	—	5	1	no	—
613	#387	—	5	1	no	—
614	#387	—	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	C₂×D₅	1	1	yes	characteristic
639	#387	C₂×D₅	1	1	yes	characteristic
640	#387	C₂×D₅	1	1	yes	characteristic
641	#387	C₂×D₅	1	1	yes	characteristic
642	#387	C₂×D₅	1	1	yes	characteristic
643	#387	C₂×D₅	1	1	yes	characteristic
644	#385	—	5	1	no	—
645	#385	—	5	1	no	—
646	#385	—	5	1	no	—
647	#385	—	5	1	no	—
648	#385	—	5	1	no	—
649	#385	—	5	1	no	—
650	#385	—	5	1	no	—
651	#385	—	5	1	no	—
652	#384	—	5	1	no	—
653	#384	—	5	1	no	—
654	#381	—	5	1	no	—
655	#381	—	5	1	no	—
656	#381	—	5	1	no	—
657	#381	—	5	1	no	—
658	#380	—	5	1	no	—
659	#380	—	5	1	no	—
660	#380	—	5	1	no	—
661	#380	—	5	1	no	—
662	#380	—	5	1	no	—
663	#380	—	5	1	no	—
664	#380	—	5	1	no	—
665	#380	—	5	1	no	—
666	C₄×C₄⋊C₄	—	5	1	no	—
667	C₄×C₄⋊C₄	—	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	—	5	1	no	—
673	C₄×C₄⋊C₄	—	5	1	no	—
674	C₄×C₄⋊C₄	—	5	1	no	—
675	C₄×C₄⋊C₄	—	5	1	no	—
676	C₄×C₄⋊C₄	—	5	1	no	—
677	C₄×C₄⋊C₄	—	5	1	no	—
678	C₄×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
679	C₄×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
680	C₄×C₂²⋊C₄	—	5	1	no	—
681	C₄×C₂²⋊C₄	—	5	1	no	—
682	C₄×C₂²⋊C₄	—	5	1	no	—
683	C₄×C₂²⋊C₄	—	5	1	no	—
684	C₂×#95	—	5	1	no	—
685	C₂×#95	—	5	1	no	—
686	C₂³×C₅	C₂⁵	1	1	yes	characteristic
687	C₂²×D₅	—	2	1	no	—
688	C₂²×D₅	—	2	1	no	—
689	C₂²×D₅	—	2	1	no	—
690	C₂²×D₅	—	2	1	no	—
691	C₂²×D₅	C₂²×Q₈	1	2	yes	—
692	C₂²×D₅	C₂×#41	1	2	yes	—
693	C₂²×D₅	C₂×#41	1	2	yes	—
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	C₂²×Q₈	1	2	yes	—
735	C₂×C₄×C₅	C₂²×Q₈	1	2	yes	—
736	C₂×C₄×C₅	C₂²×Q₈	1	2	yes	—
737	C₂×C₄×C₅	C₂×#41	1	2	yes	—
738	C₂×C₄×C₅	C₂×#41	1	2	yes	—
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	—	2	1	no	—
776	C₂×Dic₅	—	2	1	no	—
777	C₂×Dic₅	C₂²×Q₈	1	2	yes	—
778	C₂×Dic₅	C₂²×Q₈	1	2	yes	—
779	C₂×Dic₅	C₂²×Q₈	1	2	yes	—
780	C₂×Dic₅	C₂×#41	1	2	yes	—
781	C₂×Dic₅	C₂×#41	1	2	yes	—
782	C₂×Dic₅	H(5,𝔽₂)	1	2	yes	—
783	C₂×Dic₅	2₋¹⁺⁴	1	2	yes	—
784	C₄×D₅	—	2	8	no	—
785	C₄×D₅	—	2	8	no	—
786	C₄×D₅	—	4	4	no	—
787	C₄×D₅	—	4	4	no	—
788	C₄×D₅	—	4	4	no	—
789	C₄×D₅	—	4	4	no	—
790	C₄×D₅	—	4	4	no	—
791	Dic₁₀	—	4	4	no	—
792	Dic₁₀	—	4	4	no	—
793	Dic₁₀	—	8	2	no	—
794	Dic₁₀	—	8	2	no	—
795	C₂²×Q₈	—	5	1	no	—
796	C₂²×Q₈	—	5	1	no	—
797	C₂²×Q₈	—	5	1	no	—
798	C₂²×Q₈	—	5	1	no	—
799	C₂³×C₄	—	5	1	no	—
800	C₂³×C₄	—	5	1	no	—
801	C₂³×C₄	—	5	1	no	—
802	C₂³×C₄	—	5	1	no	—
803	C₂³×C₄	—	5	1	no	—
804	C₂³×C₄	—	5	1	no	—
805	C₂³×C₄	—	5	1	no	—
806	C₄⋊Q₈	—	20	2	no	—
807	C₄⋊Q₈	—	20	2	no	—
808	C₂²⋊Q₈	—	10	4	no	—
809	C₂²⋊Q₈	—	10	4	no	—
810	C₂²⋊Q₈	—	10	4	no	—
811	C₂²⋊Q₈	—	10	4	no	—
812	C₄×Q₈	—	20	2	no	—
813	C₄×Q₈	—	20	2	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	8	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	—	5	1	no	—
837	C₂×C₄⋊C₄	—	5	1	no	—
838	C₂×C₄⋊C₄	—	5	1	no	—
839	C₂×C₄⋊C₄	—	5	1	no	—
840	C₂×C₄⋊C₄	—	5	1	no	—
841	C₂×C₄⋊C₄	—	5	1	no	—
842	C₂×C₄⋊C₄	—	5	1	no	—
843	C₂×C₄⋊C₄	—	5	1	no	—
844	C₂×C₄⋊C₄	—	5	1	no	—
845	C₂×C₄⋊C₄	—	5	1	no	—
846	C₂×C₄⋊C₄	—	5	1	no	—
847	C₂×C₄⋊C₄	—	5	1	no	—
848	C₂×C₄⋊C₄	—	5	1	no	—
849	C₂×C₄⋊C₄	—	5	1	no	—
850	C₂×C₄⋊C₄	—	5	1	no	—
851	C₂×C₄⋊C₄	—	5	1	no	—
852	C₂×C₄⋊C₄	—	5	1	no	—
853	C₂×C₄⋊C₄	—	10	4	no	—
854	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
855	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
856	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
857	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
858	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
859	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
860	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
861	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
862	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
863	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
864	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
865	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
866	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
867	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
868	C₂×C₂²⋊C₄	—	5	1	no	—
869	C₂×C₂²⋊C₄	—	5	1	no	—
870	C₂×C₂²⋊C₄	—	5	1	no	—
871	C₂×C₂²⋊C₄	—	5	1	no	—
872	C₂×C₂²⋊C₄	—	5	1	no	—
873	C₂×C₂²⋊C₄	—	5	1	no	—
874	C₂×C₂²⋊C₄	—	5	1	no	—
875	C₂×C₂²⋊C₄	—	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	—	5	1	no	—
881	C₂×C₄²	—	5	1	no	—
882	C₂×C₄²	—	5	1	no	—
883	C₂×C₄²	—	5	1	no	—
884	C₂×C₄²	—	5	1	no	—
885	C₂×C₄²	—	5	1	no	—
886	C₂×C₄²	—	5	1	no	—
887	C₂×C₄²	—	5	1	no	—
888	C₂×C₄²	—	5	1	no	—
889	C₂×C₄²	—	5	1	no	—
890	C₂×C₄²	—	5	1	no	—
891	C₂×C₄²	—	10	4	no	—
892	C₂×C₄²	—	20	2	no	—
893	C₂×C₄²	—	20	2	no	—
894	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
895	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
896	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
897	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
898	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
931	#95	—	5	1	no	—
932	#95	—	5	1	no	—
933	#95	—	5	1	no	—
934	#95	—	5	1	no	—
935	#95	—	5	1	no	—
936	#95	—	5	1	no	—
937	#95	—	5	1	no	—
938	#95	—	5	1	no	—
939	#95	—	5	1	no	—
940	#95	—	5	1	no	—
941	#95	—	5	1	no	—
942	#95	—	5	1	no	—
943	#95	—	5	1	no	—
944	#95	—	5	1	no	—
945	#95	—	5	1	no	—
946	#95	—	5	1	no	—
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	#95	C₂²×D₅	1	1	yes	characteristic
951	#95	C₂²×D₅	1	1	yes	characteristic
952	#95	C₂²×D₅	1	1	yes	characteristic
953	#95	C₂²×D₅	1	1	yes	characteristic
954	#95	C₂²×D₅	1	1	yes	characteristic
955	#95	C₂²×D₅	1	1	yes	characteristic
956	#95	C₂²×D₅	1	1	yes	characteristic
957	#95	C₂²×D₅	1	1	yes	characteristic
958	#95	C₂²×D₅	1	1	yes	characteristic
959	#95	C₂²×D₅	1	1	yes	characteristic
960	#95	C₂²×D₅	1	1	yes	characteristic
961	#95	C₂²×D₅	1	1	yes	characteristic
962	#95	C₂²×D₅	1	1	yes	characteristic
963	C₂²×C₅	C₂³×Q₈	1	1	yes	characteristic
964	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
965	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
966	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
967	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
968	C₂²×C₅	#585	1	1	yes	characteristic
969	C₂²×C₅	#585	1	1	yes	characteristic
970	C₂×D₅	—	2	2	no	—
971	C₂×D₅	—	2	2	no	—
972	C₂×D₅	—	2	2	no	—
973	C₂×D₅	—	2	2	no	—
974	C₂×D₅	—	2	2	no	—
975	C₂×D₅	—	2	2	no	—
976	C₂×D₅	#533	1	4	yes	—
977	C₄×C₅	—	2	2	no	—
978	C₄×C₅	—	2	2	no	—
979	C₄×C₅	—	2	2	no	—
980	C₄×C₅	—	2	2	no	—
981	C₄×C₅	—	2	2	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	C₄×C₅	—	4	1	no	—
987	C₄×C₅	—	4	1	no	—
988	C₄×C₅	—	4	1	no	—
989	C₄×C₅	—	4	1	no	—
990	C₄×C₅	—	4	1	no	—
991	C₄×C₅	—	4	1	no	—
992	Dic₅	—	2	2	no	—
993	Dic₅	—	2	2	no	—
994	Dic₅	—	2	2	no	—
995	Dic₅	—	2	2	no	—
996	Dic₅	—	4	1	no	—
997	Dic₅	—	4	1	no	—
998	Dic₅	—	4	1	no	—
999	Dic₅	—	4	1	no	—
1000	Dic₅	—	4	1	no	—
1001	Dic₅	—	4	1	no	—
1002	Dic₅	—	4	1	no	—
1003	Dic₅	—	4	1	no	—
1004	Dic₅	—	4	1	no	—
1005	Dic₅	—	4	1	no	—
1006	Dic₅	#539	1	4	yes	—
1007	C₂⁴	—	5	1	no	—
1008	C₂×Q₈	—	10	2	no	—
1009	C₂×Q₈	—	10	2	no	—
1010	C₂×Q₈	—	10	2	no	—
1011	C₂×Q₈	—	10	2	no	—
1012	C₂×Q₈	—	10	2	no	—
1013	C₂×Q₈	—	10	2	no	—
1014	C₂×Q₈	—	10	2	no	—
1015	C₂×Q₈	—	10	2	no	—
1016	C₂×Q₈	—	20	1	no	—
1017	C₂×Q₈	—	20	1	no	—
1018	C₂×Q₈	—	20	1	no	—
1019	C₂×Q₈	—	20	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	4	no	—
1026	C₂²×C₄	—	5	4	no	—
1027	C₂²×C₄	—	5	4	no	—
1028	C₂²×C₄	—	5	4	no	—
1029	C₂²×C₄	—	5	4	no	—
1030	C₂²×C₄	—	5	1	no	—
1031	C₂²×C₄	—	5	1	no	—
1032	C₂²×C₄	—	5	1	no	—
1033	C₂²×C₄	—	5	1	no	—
1034	C₂²×C₄	—	5	1	no	—
1035	C₂²×C₄	—	5	1	no	—
1036	C₂²×C₄	—	5	1	no	—
1037	C₂²×C₄	—	5	1	no	—
1038	C₂²×C₄	—	5	1	no	—
1039	C₂²×C₄	—	5	1	no	—
1040	C₂²×C₄	—	10	2	no	—
1041	C₂²×C₄	—	10	2	no	—
1042	C₂²×C₄	—	10	2	no	—
1043	C₂²×C₄	—	10	2	no	—
1044	C₂²×C₄	—	10	2	no	—
1045	C₂²×C₄	—	10	2	no	—
1046	C₂²×C₄	—	20	1	no	—
1047	C₂²×C₄	—	20	1	no	—
1048	C₂²×C₄	—	20	1	no	—
1049	C₂²×C₄	—	20	1	no	—
1050	C₂²×C₄	—	20	1	no	—
1051	C₂²×C₄	—	20	1	no	—
1052	C₂²×C₄	—	20	1	no	—
1053	C₂²×C₄	—	20	1	no	—
1054	C₂²×C₄	—	20	1	no	—
1055	C₂²×C₄	—	20	1	no	—
1056	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1057	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1058	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1059	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1063	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1064	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1065	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1066	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1067	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1068	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1069	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1070	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1071	C₄⋊C₄	—	2	2	no	—
1072	C₄⋊C₄	—	2	2	no	—
1073	C₄⋊C₄	—	2	2	no	—
1074	C₄⋊C₄	—	2	2	no	—
1075	C₄⋊C₄	—	2	2	no	—
1076	C₄⋊C₄	—	4	1	no	—
1077	C₄⋊C₄	—	4	1	no	—
1078	C₄⋊C₄	—	4	1	no	—
1079	C₄⋊C₄	—	4	1	no	—
1080	C₄⋊C₄	—	4	1	no	—
1081	C₄⋊C₄	—	4	1	no	—
1082	C₄⋊C₄	—	4	1	no	—
1083	C₄⋊C₄	—	4	1	no	—
1084	C₄⋊C₄	—	5	4	no	—
1085	C₄⋊C₄	—	5	4	no	—
1086	C₄⋊C₄	—	5	4	no	—
1087	C₄⋊C₄	—	10	2	no	—
1088	C₄⋊C₄	—	10	2	no	—
1089	C₄⋊C₄	—	10	2	no	—
1090	C₄⋊C₄	—	10	2	no	—
1091	C₄⋊C₄	—	10	2	no	—
1092	C₄⋊C₄	—	10	2	no	—
1093	C₄⋊C₄	—	10	2	no	—
1094	C₄⋊C₄	—	10	2	no	—
1095	C₄⋊C₄	—	10	2	no	—
1096	C₄⋊C₄	—	10	2	no	—
1097	C₄⋊C₄	—	10	2	no	—
1098	C₄⋊C₄	—	10	2	no	—
1099	C₄⋊C₄	—	10	2	no	—
1100	C₄⋊C₄	—	10	2	no	—
1101	C₄⋊C₄	—	10	2	no	—
1102	C₄⋊C₄	—	20	1	no	—
1103	C₄⋊C₄	—	20	1	no	—
1104	C₄⋊C₄	—	20	1	no	—
1105	C₄⋊C₄	—	20	1	no	—
1106	C₄⋊C₄	—	20	1	no	—
1107	C₄⋊C₄	—	20	1	no	—
1108	C₄⋊C₄	—	20	1	no	—
1109	C₄⋊C₄	—	20	1	no	—
1110	C₄⋊C₄	—	20	1	no	—
1111	C₄⋊C₄	—	20	1	no	—
1112	C₄⋊C₄	—	20	1	no	—
1113	C₄⋊C₄	—	20	1	no	—
1114	C₄⋊C₄	—	20	1	no	—
1115	C₄⋊C₄	—	20	1	no	—
1116	C₄⋊C₄	—	20	1	no	—
1117	C₄⋊C₄	—	20	1	no	—
1118	C₄⋊C₄	—	20	1	no	—
1119	C₄⋊C₄	—	20	1	no	—
1120	C₄⋊C₄	—	20	1	no	—
1121	C₄⋊C₄	—	20	1	no	—
1122	C₄⋊C₄	Q₈×D₅	1	4	yes	—
1123	C₂²⋊C₄	—	10	2	no	—
1124	C₂²⋊C₄	—	10	2	no	—
1125	C₂²⋊C₄	—	10	2	no	—
1126	C₂²⋊C₄	—	10	2	no	—
1127	C₂²⋊C₄	—	10	2	no	—
1128	C₂²⋊C₄	—	10	2	no	—
1129	C₂²⋊C₄	—	10	2	no	—
1130	C₂²⋊C₄	—	10	2	no	—
1131	C₄²	—	2	2	no	—
1132	C₄²	—	4	1	no	—
1133	C₄²	—	4	1	no	—
1134	C₄²	—	4	1	no	—
1135	C₄²	—	4	1	no	—
1136	C₄²	—	10	2	no	—
1137	C₄²	—	10	2	no	—
1138	C₄²	—	10	2	no	—
1139	C₄²	—	10	2	no	—
1140	C₄²	—	10	2	no	—
1141	C₄²	—	10	2	no	—
1142	C₄²	—	10	2	no	—
1143	C₄²	—	20	1	no	—
1144	C₄²	—	20	1	no	—
1145	C₄²	—	20	1	no	—
1146	C₄²	—	20	1	no	—
1147	C₄²	—	20	1	no	—
1148	C₄²	—	20	1	no	—
1149	C₄²	—	20	1	no	—
1150	C₄²	—	20	1	no	—
1151	C₂×C₅	C₂×#533	1	1	yes	characteristic
1152	C₂×C₅	C₂×#539	1	1	yes	characteristic
1153	C₂×C₅	#3455	1	1	yes	characteristic
1154	C₂×C₅	#3501	1	1	yes	characteristic
1155	C₂×C₅	#3502	1	1	yes	characteristic
1156	C₂×C₅	#3505	1	1	yes	characteristic
1157	C₂×C₅	#3507	1	1	yes	characteristic
1158	D₅	—	2	4	no	—
1159	C₂³	—	5	2	no	—
1160	C₂³	—	5	2	no	—
1161	C₂³	—	5	2	no	—
1162	C₂³	—	10	1	no	—
1163	C₂³	—	10	1	no	—
1164	C₂³	—	10	1	no	—
1165	C₂³	—	10	1	no	—
1166	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1167	Q₈	—	20	4	no	—
1168	Q₈	—	20	4	no	—
1169	Q₈	—	40	2	no	—
1170	Q₈	—	40	2	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	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	5	2	no	—
1212	C₂×C₄	—	5	2	no	—
1213	C₂×C₄	—	5	2	no	—
1214	C₂×C₄	—	5	2	no	—
1215	C₂×C₄	—	5	2	no	—
1216	C₂×C₄	—	5	2	no	—
1217	C₂×C₄	—	5	2	no	—
1218	C₂×C₄	—	10	8	no	—
1219	C₂×C₄	—	10	8	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	—	10	1	no	—
1252	C₂×C₄	—	10	1	no	—
1253	C₂×C₄	—	10	1	no	—
1254	C₂×C₄	—	10	1	no	—
1255	C₂×C₄	—	10	1	no	—
1256	C₂×C₄	—	10	1	no	—
1257	C₂×C₄	—	10	1	no	—
1258	C₂×C₄	—	20	4	no	—
1259	C₂×C₄	—	20	4	no	—
1260	C₂×C₄	—	20	4	no	—
1261	C₂×C₄	—	20	4	no	—
1262	C₂×C₄	—	20	4	no	—
1263	C₂×C₄	C₂×Q₈×D₅	1	2	yes	—
1264	C₂×C₄	C₂×Q₈×D₅	1	2	yes	—
1265	C₂×C₄	C₂×Q₈×D₅	1	2	yes	—
1266	C₂×C₄	D₅×#41	1	2	yes	—
1267	C₂×C₄	D₅×#41	1	2	yes	—
1268	C₅	#35015	1	1	yes	characteristic, complemented, Sylow
1269	C₂²	—	5	4	no	—
1270	C₂²	—	10	2	no	—
1271	C₂²	—	10	2	no	—
1272	C₂²	—	10	2	no	—
1273	C₂²	—	10	2	no	—
1274	C₂²	—	10	2	no	—
1275	C₂²	—	10	2	no	—
1276	C₂²	C₂²×Q₈×D₅	1	1	yes	characteristic
1277	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1278	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1279	C₂²	#66283	1	1	yes	characteristic
1280	C₂²	#66283	1	1	yes	characteristic
1281	C₂²	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1282	C₂²	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1283	C₄	—	2	2	no	—
1284	C₄	—	2	2	no	—
1285	C₄	—	2	2	no	—
1286	C₄	—	2	2	no	—
1287	C₄	—	2	2	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	—	4	1	no	—
1295	C₄	—	4	1	no	—
1296	C₄	—	4	1	no	—
1297	C₄	—	4	1	no	—
1298	C₄	—	5	4	no	—
1299	C₄	—	10	2	no	—
1300	C₄	—	10	2	no	—
1301	C₄	—	10	2	no	—
1302	C₄	—	10	2	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	C₄	—	20	1	no	—
1309	C₄	—	20	1	no	—
1310	C₄	—	20	1	no	—
1311	C₄	—	20	1	no	—
1312	C₄	—	20	1	no	—
1313	C₂	—	10	4	no	—
1314	C₂	#10618047	1	1	yes	characteristic
1315	C₂	D₅×#533	1	1	yes	characteristic
1316	C₂	D₅×#539	1	1	yes	characteristic
1317	C₂	#10618764	1	1	yes	characteristic
1318	C₂	#10618813	1	1	yes	characteristic
1319	C₂	#10618850	1	1	yes	characteristic
1320	C₂	#10618933	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅
commutator, socle, cosocle	C₂³×C₅	C₂⁵
Fitting	C₅×#2590	C₂
prime radical	C₂³×D₅	C₂⁴
hypercenter	#2590	D₅
hypocenter	C₅	#35015
LCS	G ▷ C₂³×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ #2590

Complements

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

N	H ≅ G/N	type
1. C₅×#2590	C₂	semidirect
3. #10609889	C₂	semidirect
7. #10609498	C₂	semidirect
8. #10609479	C₂	semidirect
9. #10609478	C₂	semidirect
13. #10607823	C₂	semidirect
14. #10607822	C₂	semidirect
15. #10607767	C₂	semidirect
21. #10606837	C₂	semidirect
22. #10606836	C₂	semidirect
23. #10606834	C₂	semidirect
24. #10606762	C₂	semidirect
25. #10606718	C₂	semidirect
26. #10606716	C₂	semidirect
30. #10605465	C₂	semidirect
31. #10605462	C₂	semidirect
284. D₅×C₄⋊C₄	Q₈	semidirect
367. #2590	D₅	semidirect
1268. C₅	#35015	semidirect

Maximal subgroups

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

subgroup	index
C₅×#2590	2
#10610094	2
#10609889	2
#10609696	2
#10609695	2
#10609498	2
#10609479	2
#10609478	2
#10608019	2
#10607930	2
#10607823	2
#10607822	2
#10607767	2
#10607179	2
#10607030	2
#10607027	2
#10606837	2
#10606836	2
#10606834	2
#10606762	2
#10606718	2
#10606716	2
#10606672	2
C₄×#4042	2
C₄×D₅×C₄⋊C₄	2
#10605465	2
#10605462	2
#35015	5