Subgroups — #12308356

Order 1280.

1526 conjugacy classes of subgroups.

The subgroup lattice has 1360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#2851	C₂	1	1	yes	maximal, characteristic, complemented
2	#10614783	C₂	1	1	yes	maximal, characteristic, complemented
3	#10614783	C₂	1	1	yes	maximal, characteristic, complemented
4	#10613810	C₂	1	1	yes	maximal, characteristic, complemented
5	#10613796	C₂	1	1	yes	maximal, characteristic, complemented
6	#10607831	C₂	1	1	yes	maximal, characteristic, complemented
7	#10607829	C₂	1	1	yes	maximal, characteristic, complemented
8	#10607758	C₂	1	1	yes	maximal, characteristic, complemented
9	#10607757	C₂	1	1	yes	maximal, characteristic, complemented
10	#10607116	C₂	1	1	yes	maximal, characteristic, complemented
11	#10607112	C₂	1	1	yes	maximal, characteristic, complemented
12	#10606994	C₂	1	1	yes	maximal, characteristic, complemented
13	#10606974	C₂	1	1	yes	maximal, characteristic, complemented
14	#10606971	C₂	1	1	yes	maximal, characteristic, complemented
15	#10606951	C₂	1	1	yes	maximal, characteristic, complemented
16	#10606688	C₂	1	1	yes	maximal, characteristic, complemented
17	#10606675	C₂	1	1	yes	maximal, characteristic, complemented
18	#10606311	C₂	1	1	yes	maximal, characteristic
19	#10606310	C₂	1	1	yes	maximal, characteristic, complemented
20	#10606307	C₂	1	1	yes	maximal, characteristic, complemented
21	#10606296	C₂	1	1	yes	maximal, characteristic, complemented
22	#10606227	C₂	1	1	yes	maximal, characteristic
23	#10606225	C₂	1	1	yes	maximal, characteristic, complemented
24	#10606222	C₂	1	1	yes	maximal, characteristic, complemented
25	#10606208	C₂	1	1	yes	maximal, characteristic, complemented
26	#10605983	C₂	1	1	yes	maximal, characteristic, complemented
27	#10605938	C₂	1	1	yes	maximal, characteristic, complemented
28	#10605772	C₂	1	1	yes	maximal, characteristic, complemented
29	#10605712	C₂	1	1	yes	maximal, characteristic, complemented
30	#10605707	C₂	1	1	yes	maximal, characteristic, complemented
31	#10605699	C₂	1	1	yes	maximal, characteristic
32	C₂×C₅×#125	C₂²	1	1	yes	characteristic
33	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
34	C₂×#4075	C₂²	1	1	yes	characteristic
35	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
36	C₂×#4044	C₂²	1	1	yes	characteristic
37	C₂×#4044	C₂²	1	1	yes	characteristic
38	C₂×#4038	C₂²	1	1	yes	characteristic
39	C₂×#4035	C₂²	1	1	yes	characteristic
40	C₂×#4018	C₂²	1	1	yes	characteristic
41	C₅×#389	C₂²	1	1	yes	characteristic
42	C₅×#389	C₂²	1	1	yes	characteristic
43	C₅×#387	C₂²	1	1	yes	characteristic
44	C₅×#387	C₂²	1	1	yes	characteristic
45	C₅×#387	C₂²	1	1	yes	characteristic
46	C₅×#387	C₂²	1	1	yes	characteristic
47	C₅×#385	C₂²	1	1	yes	characteristic
48	C₅×#385	C₂²	1	1	yes	characteristic
49	C₅×#385	C₂²	1	1	yes	characteristic
50	C₅×#385	C₂²	1	1	yes	characteristic
51	C₅×#382	C₂²	1	1	yes	characteristic
52	C₅×#380	C₂²	1	1	yes	characteristic
53	C₅×#380	C₂²	1	1	yes	characteristic
54	#65502	C₂²	1	1	yes	characteristic
55	#65502	C₂²	1	1	yes	characteristic
56	#65502	C₂²	1	1	yes	characteristic
57	#65502	C₂²	1	1	yes	characteristic
58	#65500	C₂²	1	1	yes	characteristic
59	#65499	C₂²	1	1	yes	characteristic
60	#65499	C₂²	1	1	yes	characteristic
61	#65499	C₂²	1	1	yes	characteristic
62	#65499	C₂²	1	1	yes	characteristic
63	C₄×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic
64	#65283	C₂²	1	1	yes	characteristic
65	#65283	C₂²	1	1	yes	characteristic
66	#65282	C₂²	1	1	yes	characteristic
67	#65282	C₂²	1	1	yes	characteristic
68	#65281	C₂²	1	1	yes	characteristic
69	#65281	C₂²	1	1	yes	characteristic
70	#65281	C₂²	1	1	yes	characteristic
71	#65281	C₂²	1	1	yes	characteristic
72	#65281	C₂²	1	1	yes	characteristic
73	#65280	C₂²	1	1	yes	characteristic
74	#65279	C₂²	1	1	yes	characteristic
75	#65279	C₂²	1	1	yes	characteristic
76	#65279	C₂²	1	1	yes	characteristic
77	#65279	C₂²	1	1	yes	characteristic
78	#65279	C₂²	1	1	yes	characteristic
79	#65278	C₂²	1	1	yes	characteristic
80	#65278	C₂²	1	1	yes	characteristic
81	#65278	C₂²	1	1	yes	characteristic
82	#65277	C₂²	1	1	yes	characteristic
83	#65273	C₂²	1	1	yes	characteristic
84	#65273	C₂²	1	1	yes	characteristic
85	#65273	C₂²	1	1	yes	characteristic
86	#65272	C₂²	1	1	yes	characteristic
87	#65272	C₂²	1	1	yes	characteristic
88	#65272	C₂²	1	1	yes	characteristic
89	#65272	C₂²	1	1	yes	characteristic
90	#65270	C₂²	1	1	yes	characteristic
91	#65270	C₂²	1	1	yes	characteristic
92	#65270	C₂²	1	1	yes	characteristic
93	#65269	C₂²	1	1	yes	characteristic
94	#65269	C₂²	1	1	yes	characteristic
95	#65269	C₂²	1	1	yes	characteristic
96	#65267	C₂²	1	1	yes	characteristic
97	#65267	C₂²	1	1	yes	characteristic
98	#65267	C₂²	1	1	yes	characteristic
99	#65267	C₂²	1	1	yes	characteristic
100	#65265	C₂²	1	1	yes	characteristic
101	#65265	C₂²	1	1	yes	characteristic
102	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
103	#65262	C₂²	1	1	yes	characteristic
104	#65262	C₂²	1	1	yes	characteristic
105	#65262	C₂²	1	1	yes	characteristic
106	#65261	C₂²	1	1	yes	characteristic
107	#65261	C₂²	1	1	yes	characteristic
108	#65250	C₂²	1	1	yes	characteristic
109	#65250	C₂²	1	1	yes	characteristic
110	#65249	C₂²	1	1	yes	characteristic
111	#65246	C₂²	1	1	yes	characteristic
112	#65246	C₂²	1	1	yes	characteristic
113	#65246	C₂²	1	1	yes	characteristic
114	#65245	C₂²	1	1	yes	characteristic
115	#65242	C₂²	1	1	yes	characteristic
116	#65237	C₂²	1	1	yes	characteristic
117	#65237	C₂²	1	1	yes	characteristic
118	#65237	C₂²	1	1	yes	characteristic
119	#65237	C₂²	1	1	yes	characteristic
120	#65234	C₂²	1	1	yes	characteristic
121	#65234	C₂²	1	1	yes	characteristic
122	#65234	C₂²	1	1	yes	characteristic
123	#65233	C₂²	1	1	yes	characteristic
124	#65229	C₂²	1	1	yes	characteristic
125	#65229	C₂²	1	1	yes	characteristic
126	#65229	C₂²	1	1	yes	characteristic
127	#65229	C₂²	1	1	yes	characteristic
128	#65229	C₂²	1	1	yes	characteristic
129	#65229	C₂²	1	1	yes	characteristic
130	C₄×#685	C₂²	1	1	yes	characteristic
131	#65222	C₂²	1	1	yes	characteristic
132	#65222	C₂²	1	1	yes	characteristic
133	#65222	C₂²	1	1	yes	characteristic
134	#65222	C₂²	1	1	yes	characteristic
135	#65222	C₂²	1	1	yes	characteristic
136	#65222	C₂²	1	1	yes	characteristic
137	#65221	C₂²	1	1	yes	characteristic
138	C₄×#683	C₂²	1	1	yes	characteristic
139	#64965	C₂²	1	1	yes	characteristic
140	#64965	C₂²	1	1	yes	characteristic
141	#64964	C₂²	1	1	yes	characteristic
142	#64964	C₂²	1	1	yes	characteristic
143	#64964	C₂²	1	1	yes	characteristic
144	#64964	C₂²	1	1	yes	characteristic
145	#64963	C₂²	1	1	yes	characteristic
146	#64963	C₂²	1	1	yes	characteristic
147	#64963	C₂²	1	1	yes	characteristic
148	#64961	C₂²	1	1	yes	characteristic
149	#64961	C₂²	1	1	yes	characteristic
150	#64959	C₂²	1	1	yes	characteristic
151	#64959	C₂²	1	1	yes	characteristic
152	#64958	C₂²	1	1	yes	characteristic
153	#64957	C₂²	1	1	yes	characteristic
154	#64957	C₂²	1	1	yes	characteristic
155	#64956	C₂²	1	1	yes	characteristic
156	#64956	C₂²	1	1	yes	characteristic
157	#64954	C₂²	1	1	yes	characteristic
158	#64954	C₂²	1	1	yes	characteristic
159	#64949	C₂²	1	1	yes	characteristic
160	#64949	C₂²	1	1	yes	characteristic
161	#64949	C₂²	1	1	yes	characteristic
162	#64949	C₂²	1	1	yes	characteristic
163	#64949	C₂²	1	1	yes	characteristic
164	#64947	C₂²	1	1	yes	characteristic
165	#64947	C₂²	1	1	yes	characteristic
166	#64947	C₂²	1	1	yes	characteristic
167	#64947	C₂²	1	1	yes	characteristic
168	#64944	C₂²	1	1	yes	characteristic
169	#64944	C₂²	1	1	yes	characteristic
170	#64943	C₂²	1	1	yes	characteristic
171	#64943	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	#64941	C₂²	1	1	yes	characteristic
178	#64941	C₂²	1	1	yes	characteristic
179	#64940	C₂²	1	1	yes	characteristic
180	#64939	C₂²	1	1	yes	characteristic
181	#64939	C₂²	1	1	yes	characteristic
182	#64938	C₂²	1	1	yes	characteristic
183	#64938	C₂²	1	1	yes	characteristic
184	#64936	C₂²	1	1	yes	characteristic
185	#64936	C₂²	1	1	yes	characteristic
186	#64936	C₂²	1	1	yes	characteristic
187	#36799	—	5	1	no	maximal, Sylow
188	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
189	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
193	C₂²×D₂₀	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
196	C₅×#125	—	4	2	no	—
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×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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₅	—	4	2	no	—
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×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
219	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
224	#4075	—	4	2	no	—
225	C₄×C₂²⋊D₅	—	2	4	no	—
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×#685	C₂³	1	1	yes	characteristic
236	C₂×#685	C₂³	1	1	yes	characteristic
237	C₂×#685	C₂³	1	1	yes	characteristic
238	C₂×#685	C₂³	1	1	yes	characteristic
239	C₂×#685	C₂³	1	1	yes	characteristic
240	C₂×#685	C₂³	1	1	yes	characteristic
241	C₂×#685	C₂³	1	1	yes	characteristic
242	C₂×#685	C₂³	1	1	yes	characteristic
243	C₂×#685	C₂³	1	1	yes	characteristic
244	C₂×#685	C₂³	1	1	yes	characteristic
245	C₂×#685	C₂³	1	1	yes	characteristic
246	C₂×#685	C₂³	1	1	yes	characteristic
247	C₂×#685	C₂³	1	1	yes	characteristic
248	C₂×#685	C₂³	1	1	yes	characteristic
249	C₂×#685	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₅	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×#683	C₂³	1	1	yes	characteristic
270	C₂×#683	C₂³	1	1	yes	characteristic
271	C₂×#683	C₂³	1	1	yes	characteristic
272	C₂×#683	C₂³	1	1	yes	characteristic
273	C₂×#683	C₂³	1	1	yes	characteristic
274	C₂×#683	C₂³	1	1	yes	characteristic
275	C₂×#683	C₂³	1	1	yes	characteristic
276	C₂×#683	C₂³	1	1	yes	characteristic
277	C₂×#683	C₂³	1	1	yes	characteristic
278	C₂×#683	C₂³	1	1	yes	characteristic
279	C₂×#683	C₂³	1	1	yes	characteristic
280	C₂×#683	C₂³	1	1	yes	characteristic
281	C₂×#683	C₂³	1	1	yes	characteristic
282	C₂×#683	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
293	#4044	—	4	2	no	—
294	#4044	—	4	2	no	—
295	#4038	—	2	4	no	—
296	#4035	—	2	4	no	—
297	#4018	—	4	2	no	—
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	C₅×#95	C₂³	1	1	yes	characteristic
309	C₅×#95	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	#2853	—	5	1	no	—
353	#2851	D₅	1	1	yes	characteristic, complemented
354	#2797	—	5	1	no	—
355	#2796	—	5	1	no	—
356	#2794	—	5	1	no	—
357	#2790	—	5	1	no	—
358	#2786	—	5	1	no	—
359	#2783	—	5	1	no	—
360	#2781	—	5	1	no	—
361	#2780	—	5	1	no	—
362	#2773	—	5	1	no	—
363	#2767	—	5	1	no	—
364	#2744	—	5	1	no	—
365	#2740	—	5	1	no	—
366	#2721	—	5	1	no	—
367	#2721	—	5	1	no	—
368	#2705	—	5	1	no	—
369	#2695	—	5	1	no	—
370	#2652	—	5	1	no	—
371	#2649	—	5	1	no	—
372	#2611	—	5	1	no	—
373	#2606	—	5	1	no	—
374	#2598	—	5	1	no	—
375	#2595	—	5	1	no	—
376	#2587	—	5	1	no	—
377	#2566	—	5	1	no	—
378	#2479	—	5	1	no	—
379	#2478	—	5	1	no	—
380	#2336	—	5	1	no	—
381	#2314	—	5	1	no	—
382	#2290	—	5	1	no	—
383	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
384	C₂³×D₅	C₂⁴	1	1	yes	characteristic
385	C₂³×D₅	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₅	—	2	2	no	—
387	C₂²×C₄×C₅	—	2	2	no	—
388	C₂²×C₄×C₅	—	2	2	no	—
389	C₂²×C₄×C₅	—	4	1	no	—
390	C₂²×C₄×C₅	—	4	1	no	—
391	C₂²×C₄×C₅	—	4	1	no	—
392	C₂²×C₄×C₅	—	4	1	no	—
393	C₂²×C₄×C₅	—	4	1	no	—
394	C₂²×C₄×C₅	—	4	1	no	—
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×C₄×C₅	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
409	C₂×C₂²⋊D₅	—	2	2	no	—
410	C₂×C₂²⋊D₅	—	2	2	no	—
411	C₂×C₂²⋊D₅	—	2	2	no	—
412	C₂×C₂²⋊D₅	—	4	1	no	—
413	C₂×C₂²⋊D₅	—	4	1	no	—
414	C₂×C₂²⋊D₅	—	4	1	no	—
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	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
429	C₂×D₂₀	—	4	1	no	—
430	C₂×D₂₀	—	4	1	no	—
431	C₂×D₂₀	—	4	1	no	—
432	C₂×C₄×D₅	—	2	2	no	—
433	C₂×C₄×D₅	—	2	2	no	—
434	C₂×C₄×D₅	—	4	1	no	—
435	C₂×C₄×D₅	—	4	1	no	—
436	C₂×C₄×D₅	—	4	1	no	—
437	C₂×C₄×D₅	—	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	C₅×C₄⋊C₄	—	4	1	no	—
449	C₅×C₄⋊C₄	—	4	1	no	—
450	C₅×C₂²⋊C₄	—	4	1	no	—
451	C₅×C₂²⋊C₄	—	4	1	no	—
452	C₅×C₂²⋊C₄	—	4	1	no	—
453	C₅×C₂²⋊C₄	—	4	1	no	—
454	C₄²×C₅	—	2	2	no	—
455	C₄²×C₅	—	2	2	no	—
456	C₄²×C₅	—	4	1	no	—
457	C₄²×C₅	—	4	1	no	—
458	C₂²⋊Dic₅	—	2	2	no	—
459	C₂²⋊Dic₅	—	2	2	no	—
460	C₂²⋊Dic₅	—	2	2	no	—
461	C₂²⋊Dic₅	—	4	1	no	—
462	C₂²⋊Dic₅	—	4	1	no	—
463	C₂²⋊Dic₅	—	4	1	no	—
464	#685	—	2	2	no	—
465	#685	—	2	2	no	—
466	#685	—	2	2	no	—
467	#685	—	2	2	no	—
468	#685	—	2	2	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	#685	—	4	1	no	—
478	#685	—	4	1	no	—
479	#685	—	4	1	no	—
480	#685	—	4	1	no	—
481	#685	—	4	1	no	—
482	#685	—	4	1	no	—
483	#685	—	4	1	no	—
484	#685	—	4	1	no	—
485	#685	—	4	1	no	—
486	#685	—	4	1	no	—
487	#685	—	4	1	no	—
488	C₄⋊Dic₅	—	2	2	no	—
489	C₄⋊Dic₅	—	2	2	no	—
490	C₄⋊Dic₅	—	4	1	no	—
491	C₄⋊Dic₅	—	4	1	no	—
492	C₄⋊Dic₅	—	4	1	no	—
493	C₄⋊Dic₅	—	4	1	no	—
494	C₄⋊Dic₅	—	4	1	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	—	4	1	no	—
515	#683	—	4	1	no	—
516	#683	—	4	1	no	—
517	#683	—	4	1	no	—
518	#683	—	4	1	no	—
519	#683	—	4	1	no	—
520	#683	—	4	1	no	—
521	C₄×Dic₅	—	2	2	no	—
522	C₄×Dic₅	—	4	1	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	#41	1	4	yes	—
531	C₂×#126	—	5	1	no	—
532	C₂×#126	—	5	1	no	—
533	C₂×#125	—	5	1	no	—
534	C₂×#125	C₂×D₅	1	1	yes	characteristic
535	C₂×#123	—	5	1	no	—
536	C₂×C₄×D₄	—	5	1	no	—
537	C₂×#117	—	5	1	no	—
538	C₂×#117	—	5	1	no	—
539	C₂²×C₄²	C₂×D₅	1	1	yes	characteristic
540	#400	—	5	1	no	—
541	#400	—	5	1	no	—
542	#400	—	5	1	no	—
543	#400	—	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	#399	—	5	1	no	—
550	#399	—	5	1	no	—
551	#399	—	5	1	no	—
552	#399	—	5	1	no	—
553	#399	—	5	1	no	—
554	#398	—	5	1	no	—
555	#398	—	5	1	no	—
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	#397	—	5	1	no	—
565	#397	—	5	1	no	—
566	#397	—	5	1	no	—
567	#397	—	5	1	no	—
568	#397	—	5	1	no	—
569	#397	—	5	1	no	—
570	#397	—	5	1	no	—
571	#397	—	5	1	no	—
572	#397	—	5	1	no	—
573	#397	—	5	1	no	—
574	#396	—	5	1	no	—
575	#396	—	5	1	no	—
576	#396	—	5	1	no	—
577	#396	—	5	1	no	—
578	#396	—	5	1	no	—
579	#396	—	5	1	no	—
580	#396	—	5	1	no	—
581	#396	—	5	1	no	—
582	#394	—	5	1	no	—
583	#394	—	5	1	no	—
584	#394	—	5	1	no	—
585	#394	—	5	1	no	—
586	#394	—	5	1	no	—
587	#392	—	5	1	no	—
588	#390	—	5	1	no	—
589	#390	—	5	1	no	—
590	#390	—	5	1	no	—
591	#390	—	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	C₂×D₅	1	1	yes	characteristic
601	#389	C₂×D₅	1	1	yes	characteristic
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	#388	—	5	1	no	—
616	#388	—	5	1	no	—
617	#388	—	5	1	no	—
618	#388	—	5	1	no	—
619	#388	—	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	—	5	1	no	—
643	#387	—	5	1	no	—
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	#386	—	5	1	no	—
651	#386	—	5	1	no	—
652	#386	—	5	1	no	—
653	#386	—	5	1	no	—
654	#386	—	5	1	no	—
655	#385	—	5	1	no	—
656	#385	—	5	1	no	—
657	#385	—	5	1	no	—
658	#385	—	5	1	no	—
659	#385	—	5	1	no	—
660	#385	—	5	1	no	—
661	#385	—	5	1	no	—
662	#385	—	5	1	no	—
663	#385	—	5	1	no	—
664	#385	C₂×D₅	1	1	yes	characteristic
665	#385	C₂×D₅	1	1	yes	characteristic
666	#385	C₂×D₅	1	1	yes	characteristic
667	#385	C₂×D₅	1	1	yes	characteristic
668	#384	—	5	1	no	—
669	#384	—	5	1	no	—
670	#383	—	5	1	no	—
671	#382	—	5	1	no	—
672	#382	—	5	1	no	—
673	#382	C₂×D₅	1	1	yes	characteristic
674	#381	—	5	1	no	—
675	#380	—	5	1	no	—
676	#380	—	5	1	no	—
677	#380	C₂×D₅	1	1	yes	characteristic
678	#380	C₂×D₅	1	1	yes	characteristic
679	C₄×C₄⋊C₄	—	5	1	no	—
680	C₄×C₄⋊C₄	—	5	1	no	—
681	C₄×C₄⋊C₄	—	5	1	no	—
682	C₄×C₄⋊C₄	—	5	1	no	—
683	C₄×C₂²⋊C₄	—	5	1	no	—
684	C₄×C₂²⋊C₄	—	5	1	no	—
685	#376	—	5	1	no	—
686	C₂³×C₅	—	2	1	no	—
687	C₂³×C₅	—	2	1	no	—
688	C₂³×C₅	—	2	1	no	—
689	C₂³×C₅	—	2	1	no	—
690	C₂³×C₅	—	2	1	no	—
691	C₂³×C₅	—	2	1	no	—
692	C₂³×C₅	2₋¹⁺⁴	1	2	yes	—
693	C₂³×C₅	C₂⁵	1	1	yes	characteristic
694	C₂²×D₅	—	2	1	no	—
695	C₂²×D₅	—	2	1	no	—
696	C₂²×D₅	—	2	1	no	—
697	C₂²×D₅	—	2	1	no	—
698	C₂²×D₅	—	2	1	no	—
699	C₂²×D₅	—	2	1	no	—
700	C₂²×D₅	—	2	1	no	—
701	C₂²×D₅	—	2	1	no	—
702	C₂²×D₅	—	2	1	no	—
703	C₂²×D₅	—	2	1	no	—
704	C₂²×D₅	—	2	1	no	—
705	C₂²×D₅	—	2	1	no	—
706	C₂²×D₅	—	2	1	no	—
707	C₂²×D₅	—	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	—	2	1	no	—
735	C₂×C₄×C₅	—	2	1	no	—
736	C₂×C₄×C₅	—	2	1	no	—
737	C₂×C₄×C₅	—	2	1	no	—
738	C₂×C₄×C₅	—	2	1	no	—
739	C₂×C₄×C₅	—	2	1	no	—
740	C₂×C₄×C₅	—	2	1	no	—
741	C₂×C₄×C₅	—	2	1	no	—
742	C₂×C₄×C₅	—	2	1	no	—
743	C₂×C₄×C₅	—	2	1	no	—
744	C₂×C₄×C₅	—	2	1	no	—
745	C₂×C₄×C₅	—	2	1	no	—
746	C₂×C₄×C₅	—	2	1	no	—
747	C₂×C₄×C₅	—	2	1	no	—
748	C₂×C₄×C₅	—	4	4	no	—
749	C₂×C₄×C₅	—	4	4	no	—
750	C₂×C₄×C₅	—	4	4	no	—
751	C₂×C₄×C₅	C₂×#41	1	2	yes	—
752	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
753	C₂²⋊D₅	—	4	4	no	—
754	C₂²⋊D₅	—	8	2	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	—	2	1	no	—
778	C₂×Dic₅	—	2	1	no	—
779	C₂×Dic₅	—	2	1	no	—
780	C₂×Dic₅	—	2	1	no	—
781	C₂×Dic₅	—	2	1	no	—
782	C₂×Dic₅	—	2	1	no	—
783	C₂×Dic₅	—	2	1	no	—
784	C₂×Dic₅	—	2	1	no	—
785	C₂×Dic₅	—	2	1	no	—
786	C₂×Dic₅	—	2	1	no	—
787	C₂×Dic₅	—	2	1	no	—
788	C₂×Dic₅	—	2	1	no	—
789	C₂×Dic₅	—	2	1	no	—
790	C₂×Dic₅	—	2	1	no	—
791	C₂×Dic₅	—	2	1	no	—
792	C₂×Dic₅	—	2	1	no	—
793	C₂×Dic₅	—	2	1	no	—
794	C₂×Dic₅	—	2	1	no	—
795	C₂×Dic₅	C₂×#41	1	2	yes	—
796	C₂×Dic₅	C₂×#41	1	2	yes	—
797	D₂₀	—	8	2	no	—
798	C₄×D₅	—	4	4	no	—
799	C₄×D₅	—	4	4	no	—
800	C₂²×D₄	—	5	1	no	—
801	C₂²×D₄	—	5	1	no	—
802	C₂²×D₄	—	5	1	no	—
803	C₂³×C₄	—	5	1	no	—
804	C₂³×C₄	—	5	1	no	—
805	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
806	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
807	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
808	#126	—	20	2	no	—
809	#126	—	20	2	no	—
810	#125	—	4	2	no	—
811	#125	—	10	4	no	—
812	#123	—	20	2	no	—
813	C₄×D₄	—	10	4	no	—
814	#117	—	10	4	no	—
815	#117	—	20	2	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	—	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	C₂²×D₅	1	1	yes	characteristic
850	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
851	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
852	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
853	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
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×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×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×C₂²⋊C₄	—	5	1	no	—
877	C₂×C₂²⋊C₄	—	5	1	no	—
878	C₂×C₂²⋊C₄	—	5	1	no	—
879	C₂×C₂²⋊C₄	—	5	1	no	—
880	C₂×C₂²⋊C₄	—	5	1	no	—
881	C₂×C₂²⋊C₄	—	5	1	no	—
882	C₂×C₂²⋊C₄	—	5	1	no	—
883	C₂×C₂²⋊C₄	—	5	1	no	—
884	C₂×C₂²⋊C₄	—	5	1	no	—
885	C₂×C₂²⋊C₄	—	5	1	no	—
886	C₂×C₂²⋊C₄	—	5	1	no	—
887	C₂×C₂²⋊C₄	—	5	1	no	—
888	C₂×C₂²⋊C₄	—	5	1	no	—
889	C₂×C₂²⋊C₄	—	5	1	no	—
890	C₂×C₂²⋊C₄	—	5	1	no	—
891	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
892	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
893	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
894	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
895	C₂×C₄²	—	4	2	no	—
896	C₂×C₄²	—	5	1	no	—
897	C₂×C₄²	—	5	1	no	—
898	C₂×C₄²	—	5	1	no	—
899	C₂×C₄²	—	5	1	no	—
900	C₂×C₄²	—	5	1	no	—
901	C₂×C₄²	—	5	1	no	—
902	C₂×C₄²	—	5	1	no	—
903	C₂×C₄²	—	5	1	no	—
904	C₂×C₄²	—	5	1	no	—
905	C₂×C₄²	—	5	1	no	—
906	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
907	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
908	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
909	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
948	#95	—	5	1	no	—
949	#95	—	5	1	no	—
950	#95	—	5	1	no	—
951	#95	—	5	1	no	—
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	#95	C₂²×D₅	1	1	yes	characteristic
964	C₂²×C₅	—	2	2	no	—
965	C₂²×C₅	—	2	2	no	—
966	C₂²×C₅	—	2	2	no	—
967	C₂²×C₅	—	4	1	no	—
968	C₂²×C₅	—	4	1	no	—
969	C₂²×C₅	—	4	1	no	—
970	C₂²×C₅	—	4	1	no	—
971	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
972	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
973	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
974	C₂²×C₅	#585	1	1	yes	characteristic
975	C₂²×C₅	#585	1	1	yes	characteristic
976	C₂²×C₅	#585	1	1	yes	characteristic
977	C₂²×C₅	#585	1	1	yes	characteristic
978	C₂×D₅	—	4	1	no	—
979	C₂×D₅	—	4	1	no	—
980	C₂×D₅	—	4	1	no	—
981	C₂×D₅	—	4	1	no	—
982	C₂×D₅	—	4	1	no	—
983	C₂×D₅	—	4	1	no	—
984	C₂×D₅	—	4	1	no	—
985	C₂×D₅	—	4	1	no	—
986	C₂×D₅	—	4	1	no	—
987	C₂×D₅	—	4	1	no	—
988	C₂×D₅	—	4	1	no	—
989	C₂×D₅	—	4	1	no	—
990	C₂×D₅	—	4	1	no	—
991	C₂×D₅	—	4	1	no	—
992	C₄×C₅	—	2	2	no	—
993	C₄×C₅	—	2	2	no	—
994	C₄×C₅	—	4	1	no	—
995	C₄×C₅	—	4	1	no	—
996	C₄×C₅	—	4	1	no	—
997	C₄×C₅	—	4	1	no	—
998	C₄×C₅	—	4	1	no	—
999	C₄×C₅	—	4	1	no	—
1000	C₄×C₅	—	4	1	no	—
1001	C₄×C₅	—	4	1	no	—
1002	C₄×C₅	—	4	1	no	—
1003	C₄×C₅	—	4	1	no	—
1004	C₄×C₅	—	4	1	no	—
1005	C₄×C₅	—	4	1	no	—
1006	Dic₅	—	2	2	no	—
1007	Dic₅	—	2	2	no	—
1008	Dic₅	—	4	1	no	—
1009	Dic₅	—	4	1	no	—
1010	Dic₅	—	4	1	no	—
1011	Dic₅	—	4	1	no	—
1012	Dic₅	—	4	1	no	—
1013	Dic₅	—	4	1	no	—
1014	Dic₅	—	4	1	no	—
1015	Dic₅	—	4	1	no	—
1016	Dic₅	—	4	1	no	—
1017	Dic₅	—	4	1	no	—
1018	Dic₅	—	4	1	no	—
1019	Dic₅	—	4	1	no	—
1020	C₂⁴	—	5	1	no	—
1021	C₂⁴	—	5	1	no	—
1022	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1023	C₂×D₄	—	10	2	no	—
1024	C₂×D₄	—	10	2	no	—
1025	C₂×D₄	—	10	2	no	—
1026	C₂×D₄	—	20	1	no	—
1027	C₂×D₄	—	20	1	no	—
1028	C₂×D₄	—	20	1	no	—
1029	C₂×D₄	—	20	1	no	—
1030	C₂×D₄	—	20	1	no	—
1031	C₂×D₄	—	20	1	no	—
1032	C₂²×C₄	—	2	2	no	—
1033	C₂²×C₄	—	2	2	no	—
1034	C₂²×C₄	—	2	2	no	—
1035	C₂²×C₄	—	4	1	no	—
1036	C₂²×C₄	—	4	1	no	—
1037	C₂²×C₄	—	4	1	no	—
1038	C₂²×C₄	—	4	1	no	—
1039	C₂²×C₄	—	4	1	no	—
1040	C₂²×C₄	—	4	1	no	—
1041	C₂²×C₄	—	5	1	no	—
1042	C₂²×C₄	—	5	1	no	—
1043	C₂²×C₄	—	5	1	no	—
1044	C₂²×C₄	—	5	1	no	—
1045	C₂²×C₄	—	5	1	no	—
1046	C₂²×C₄	—	5	1	no	—
1047	C₂²×C₄	—	5	1	no	—
1048	C₂²×C₄	—	5	1	no	—
1049	C₂²×C₄	—	5	1	no	—
1050	C₂²×C₄	—	5	1	no	—
1051	C₂²×C₄	—	5	1	no	—
1052	C₂²×C₄	—	5	1	no	—
1053	C₂²×C₄	—	5	1	no	—
1054	C₂²×C₄	—	5	1	no	—
1055	C₂²×C₄	—	10	2	no	—
1056	C₂²×C₄	—	10	2	no	—
1057	C₂²×C₄	—	20	1	no	—
1058	C₂²×C₄	—	20	1	no	—
1059	C₂²×C₄	—	20	1	no	—
1060	C₂²×C₄	—	20	1	no	—
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	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1072	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1073	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1074	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1075	C₄⋊C₄	—	2	2	no	—
1076	C₄⋊C₄	—	2	2	no	—
1077	C₄⋊C₄	—	2	2	no	—
1078	C₄⋊C₄	—	2	2	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	—	4	1	no	—
1085	C₄⋊C₄	—	4	1	no	—
1086	C₄⋊C₄	—	4	1	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	—	20	1	no	—
1097	C₄⋊C₄	—	20	1	no	—
1098	C₄⋊C₄	—	20	1	no	—
1099	C₄⋊C₄	—	20	1	no	—
1100	C₄⋊C₄	—	20	1	no	—
1101	C₄⋊C₄	—	20	1	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	C₂²⋊C₄	—	4	1	no	—
1121	C₂²⋊C₄	—	4	1	no	—
1122	C₂²⋊C₄	—	4	1	no	—
1123	C₂²⋊C₄	—	4	1	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	C₂²⋊C₄	—	10	2	no	—
1132	C₂²⋊C₄	—	20	1	no	—
1133	C₂²⋊C₄	—	20	1	no	—
1134	C₂²⋊C₄	—	20	1	no	—
1135	C₂²⋊C₄	—	20	1	no	—
1136	C₂²⋊C₄	—	20	1	no	—
1137	C₂²⋊C₄	—	20	1	no	—
1138	C₂²⋊C₄	—	20	1	no	—
1139	C₂²⋊C₄	—	20	1	no	—
1140	C₂²⋊C₄	—	20	1	no	—
1141	C₂²⋊C₄	—	20	1	no	—
1142	C₂²⋊C₄	—	20	1	no	—
1143	C₂²⋊C₄	—	20	1	no	—
1144	C₂²⋊C₄	—	20	1	no	—
1145	C₂²⋊C₄	—	20	1	no	—
1146	C₂²⋊C₄	—	20	1	no	—
1147	C₂²⋊C₄	—	20	1	no	—
1148	C₂²⋊C₄	—	20	1	no	—
1149	C₂²⋊C₄	—	20	1	no	—
1150	C₂²⋊C₄	—	20	1	no	—
1151	C₂²⋊C₄	—	20	1	no	—
1152	C₂²⋊C₄	—	20	1	no	—
1153	C₂²⋊C₄	—	20	1	no	—
1154	C₄²	—	2	2	no	—
1155	C₄²	—	2	2	no	—
1156	C₄²	—	4	1	no	—
1157	C₄²	—	4	1	no	—
1158	C₄²	—	5	4	no	—
1159	C₄²	—	10	2	no	—
1160	C₄²	—	20	1	no	—
1161	C₄²	—	20	1	no	—
1162	C₄²	—	20	1	no	—
1163	C₄²	—	20	1	no	—
1164	C₄²	—	20	1	no	—
1165	C₄²	—	20	1	no	—
1166	C₄²	—	20	1	no	—
1167	C₄²	—	20	1	no	—
1168	C₂×C₅	—	4	2	no	—
1169	C₂×C₅	#3455	1	1	yes	characteristic
1170	C₂×C₅	#3495	1	1	yes	characteristic
1171	C₂×C₅	#3506	1	1	yes	characteristic
1172	C₂×C₅	#3535	1	1	yes	characteristic
1173	C₂×C₅	#3539	1	1	yes	characteristic
1174	C₂×C₅	#3553	1	1	yes	characteristic
1175	C₂×C₅	#3566	1	1	yes	characteristic
1176	D₅	—	8	1	no	—
1177	D₅	—	8	1	no	—
1178	C₂³	—	2	1	no	—
1179	C₂³	—	2	1	no	—
1180	C₂³	—	2	1	no	—
1181	C₂³	—	2	1	no	—
1182	C₂³	—	2	1	no	—
1183	C₂³	—	2	1	no	—
1184	C₂³	—	10	1	no	—
1185	C₂³	—	10	1	no	—
1186	C₂³	—	10	1	no	—
1187	C₂³	—	10	1	no	—
1188	C₂³	—	10	1	no	—
1189	C₂³	—	10	1	no	—
1190	C₂³	—	10	1	no	—
1191	C₂³	—	10	1	no	—
1192	C₂³	—	10	1	no	—
1193	C₂³	—	10	1	no	—
1194	C₂³	—	10	1	no	—
1195	C₂³	—	10	1	no	—
1196	C₂³	—	10	1	no	—
1197	C₂³	—	10	1	no	—
1198	C₂³	#4147	1	2	yes	—
1199	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1200	D₄	—	20	4	no	—
1201	D₄	—	40	2	no	—
1202	D₄	—	40	2	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	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	1	no	—
1243	C₂×C₄	—	4	4	no	—
1244	C₂×C₄	—	4	4	no	—
1245	C₂×C₄	—	4	4	no	—
1246	C₂×C₄	—	5	2	no	—
1247	C₂×C₄	—	5	2	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	—	10	1	no	—
1259	C₂×C₄	—	10	1	no	—
1260	C₂×C₄	—	10	1	no	—
1261	C₂×C₄	—	10	1	no	—
1262	C₂×C₄	—	10	1	no	—
1263	C₂×C₄	—	10	1	no	—
1264	C₂×C₄	—	10	1	no	—
1265	C₂×C₄	—	10	1	no	—
1266	C₂×C₄	—	10	1	no	—
1267	C₂×C₄	—	10	1	no	—
1268	C₂×C₄	—	10	1	no	—
1269	C₂×C₄	—	10	1	no	—
1270	C₂×C₄	—	10	1	no	—
1271	C₂×C₄	—	10	1	no	—
1272	C₂×C₄	—	10	1	no	—
1273	C₂×C₄	—	10	1	no	—
1274	C₂×C₄	—	10	1	no	—
1275	C₂×C₄	—	10	1	no	—
1276	C₂×C₄	—	10	1	no	—
1277	C₂×C₄	—	10	1	no	—
1278	C₂×C₄	—	10	1	no	—
1279	C₂×C₄	—	10	1	no	—
1280	C₂×C₄	—	10	1	no	—
1281	C₂×C₄	—	10	1	no	—
1282	C₂×C₄	—	10	1	no	—
1283	C₂×C₄	—	10	1	no	—
1284	C₂×C₄	—	10	1	no	—
1285	C₂×C₄	—	10	1	no	—
1286	C₂×C₄	—	10	1	no	—
1287	C₂×C₄	—	10	1	no	—
1288	C₂×C₄	—	20	4	no	—
1289	C₂×C₄	—	20	4	no	—
1290	C₂×C₄	#4144	1	2	yes	—
1291	C₂×C₄	D₅×#41	1	2	yes	—
1292	C₅	#36799	1	1	yes	characteristic, complemented, Sylow
1293	C₂²	—	2	2	no	—
1294	C₂²	—	2	2	no	—
1295	C₂²	—	2	2	no	—
1296	C₂²	—	4	1	no	—
1297	C₂²	—	4	1	no	—
1298	C₂²	—	4	1	no	—
1299	C₂²	—	4	1	no	—
1300	C₂²	—	20	1	no	—
1301	C₂²	—	20	1	no	—
1302	C₂²	—	20	1	no	—
1303	C₂²	—	20	1	no	—
1304	C₂²	—	20	1	no	—
1305	C₂²	—	20	1	no	—
1306	C₂²	—	20	1	no	—
1307	C₂²	—	20	1	no	—
1308	C₂²	—	20	1	no	—
1309	C₂²	—	20	1	no	—
1310	C₂²	—	20	1	no	—
1311	C₂²	—	20	1	no	—
1312	C₂²	—	20	1	no	—
1313	C₂²	—	20	1	no	—
1314	C₂²	C₂×#4144	1	1	yes	characteristic
1315	C₂²	C₂×#4147	1	1	yes	characteristic
1316	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1317	C₂²	#66283	1	1	yes	characteristic
1318	C₂²	#66283	1	1	yes	characteristic
1319	C₂²	#66283	1	1	yes	characteristic
1320	C₂²	#66283	1	1	yes	characteristic
1321	C₄	—	2	2	no	—
1322	C₄	—	2	2	no	—
1323	C₄	—	4	1	no	—
1324	C₄	—	4	1	no	—
1325	C₄	—	4	1	no	—
1326	C₄	—	4	1	no	—
1327	C₄	—	4	1	no	—
1328	C₄	—	4	1	no	—
1329	C₄	—	4	1	no	—
1330	C₄	—	4	1	no	—
1331	C₄	—	4	1	no	—
1332	C₄	—	4	1	no	—
1333	C₄	—	4	1	no	—
1334	C₄	—	4	1	no	—
1335	C₄	—	10	2	no	—
1336	C₄	—	10	2	no	—
1337	C₄	—	20	1	no	—
1338	C₄	—	20	1	no	—
1339	C₄	—	20	1	no	—
1340	C₄	—	20	1	no	—
1341	C₄	—	20	1	no	—
1342	C₄	—	20	1	no	—
1343	C₄	—	20	1	no	—
1344	C₄	—	20	1	no	—
1345	C₄	—	20	1	no	—
1346	C₄	—	20	1	no	—
1347	C₄	—	20	1	no	—
1348	C₄	—	20	1	no	—
1349	C₂	—	4	2	no	—
1350	C₂	—	40	1	no	—
1351	C₂	—	40	1	no	—
1352	C₂	#10617890	1	1	yes	characteristic
1353	C₂	#10617930	1	1	yes	characteristic
1354	C₂	#10617955	1	1	yes	characteristic
1355	C₂	#10618003	1	1	yes	characteristic
1356	C₂	#10618047	1	1	yes	characteristic
1357	C₂	#10618084	1	1	yes	characteristic
1358	C₂	#10618180	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅
commutator, socle, cosocle	C₂³×C₅	C₂⁵
Fitting	C₅×#2851	C₂
prime radical	#65249	C₂²
hypercenter	#2851	D₅
hypocenter	C₅	#36799
LCS	G ▷ C₂³×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ #2851

Complements

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

N	H ≅ G/N	type
1. C₅×#2851	C₂	semidirect
2. #10614783	C₂	semidirect
3. #10614783	C₂	semidirect
4. #10613810	C₂	semidirect
5. #10613796	C₂	semidirect
6. #10607831	C₂	semidirect
7. #10607829	C₂	semidirect
8. #10607758	C₂	semidirect
9. #10607757	C₂	semidirect
10. #10607116	C₂	semidirect
11. #10607112	C₂	semidirect
12. #10606994	C₂	semidirect
13. #10606974	C₂	semidirect
14. #10606971	C₂	semidirect
15. #10606951	C₂	semidirect
16. #10606688	C₂	semidirect
17. #10606675	C₂	semidirect
19. #10606310	C₂	semidirect
20. #10606307	C₂	semidirect
21. #10606296	C₂	semidirect
23. #10606225	C₂	semidirect
24. #10606222	C₂	semidirect
25. #10606208	C₂	semidirect
26. #10605983	C₂	semidirect
27. #10605938	C₂	semidirect
28. #10605772	C₂	semidirect
29. #10605712	C₂	semidirect
30. #10605707	C₂	semidirect
353. #2851	D₅	semidirect
1292. C₅	#36799	semidirect

Maximal subgroups

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

subgroup	index
C₅×#2851	2
#10614783	2
#10613810	2
#10613796	2
#10607831	2
#10607829	2
#10607758	2
#10607757	2
#10607116	2
#10607112	2
#10606994	2
#10606974	2
#10606971	2
#10606951	2
#10606688	2
#10606675	2
#10606311	2
#10606310	2
#10606307	2
#10606296	2
#10606227	2
#10606225	2
#10606222	2
#10606208	2
#10605983	2
#10605938	2
#10605772	2
#10605712	2
#10605707	2
#10605699	2
#36799	5