Subgroups — #12307412

Order 1280.

1566 conjugacy classes of subgroups.

The subgroup lattice has 1410 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#2576	C₂	1	1	yes	maximal, characteristic, complemented
2	#10610167	C₂	1	1	yes	maximal, characteristic, complemented
3	#10610155	C₂	1	1	yes	maximal, characteristic, complemented
4	#10609454	C₂	1	1	yes	maximal, characteristic, complemented
5	#10609350	C₂	1	1	yes	maximal, characteristic, complemented
6	#10609115	C₂	1	1	yes	maximal, characteristic, complemented
7	#10609090	C₂	1	1	yes	maximal, characteristic, complemented
8	#10608789	C₂	1	1	yes	maximal, characteristic, complemented
9	#10608765	C₂	1	1	yes	maximal, characteristic, complemented
10	#10607691	C₂	1	1	yes	maximal, characteristic, complemented
11	#10607536	C₂	1	1	yes	maximal, characteristic, complemented
12	#10607506	C₂	1	1	yes	maximal, characteristic, complemented
13	#10607367	C₂	1	1	yes	maximal, characteristic, complemented
14	#10607176	C₂	1	1	yes	maximal, characteristic, complemented
15	#10607033	C₂	1	1	yes	maximal, characteristic, complemented
16	#10606816	C₂	1	1	yes	maximal, characteristic, complemented
17	#10606789	C₂	1	1	yes	maximal, characteristic, complemented
18	#10606654	C₂	1	1	yes	maximal, characteristic
19	#10606638	C₂	1	1	yes	maximal, characteristic, complemented
20	#10606587	C₂	1	1	yes	maximal, characteristic, complemented
21	#10606462	C₂	1	1	yes	maximal, characteristic, complemented
22	#10606353	C₂	1	1	yes	maximal, characteristic, complemented
23	#10606176	C₂	1	1	yes	maximal, characteristic, complemented
24	#10605984	C₂	1	1	yes	maximal, characteristic, complemented
25	#10605930	C₂	1	1	yes	maximal, characteristic, complemented
26	#10605841	C₂	1	1	yes	maximal, characteristic, complemented
27	#10605838	C₂	1	1	yes	maximal, characteristic, complemented
28	#10605302	C₂	1	1	yes	maximal, characteristic, complemented
29	#10605293	C₂	1	1	yes	maximal, characteristic, complemented
30	#10605283	C₂	1	1	yes	maximal, characteristic, complemented
31	#10605264	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#4084	C₂²	1	1	yes	characteristic
33	C₂×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
34	C₂×#4072	C₂²	1	1	yes	characteristic
35	C₂×#4040	C₂²	1	1	yes	characteristic
36	C₂×#4035	C₂²	1	1	yes	characteristic
37	C₂×#4035	C₂²	1	1	yes	characteristic
38	C₂×#4030	C₂²	1	1	yes	characteristic
39	C₂×#4029	C₂²	1	1	yes	characteristic
40	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
41	C₅×#401	C₂²	1	1	yes	characteristic
42	C₅×#397	C₂²	1	1	yes	characteristic
43	C₅×#396	C₂²	1	1	yes	characteristic
44	C₅×#394	C₂²	1	1	yes	characteristic
45	C₅×#388	C₂²	1	1	yes	characteristic
46	C₅×#388	C₂²	1	1	yes	characteristic
47	C₅×#387	C₂²	1	1	yes	characteristic
48	C₅×#387	C₂²	1	1	yes	characteristic
49	C₅×#386	C₂²	1	1	yes	characteristic
50	C₅×#386	C₂²	1	1	yes	characteristic
51	C₅×#385	C₂²	1	1	yes	characteristic
52	C₅×#382	C₂²	1	1	yes	characteristic
53	C₅×#381	C₂²	1	1	yes	characteristic
54	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
55	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
56	#65512	C₂²	1	1	yes	characteristic
57	#65511	C₂²	1	1	yes	characteristic
58	#65511	C₂²	1	1	yes	characteristic
59	#65502	C₂²	1	1	yes	characteristic
60	#65502	C₂²	1	1	yes	characteristic
61	#65502	C₂²	1	1	yes	characteristic
62	#65501	C₂²	1	1	yes	characteristic
63	#65499	C₂²	1	1	yes	characteristic
64	#65499	C₂²	1	1	yes	characteristic
65	#65281	C₂²	1	1	yes	characteristic
66	#65280	C₂²	1	1	yes	characteristic
67	#65278	C₂²	1	1	yes	characteristic
68	#65278	C₂²	1	1	yes	characteristic
69	#65278	C₂²	1	1	yes	characteristic
70	#65277	C₂²	1	1	yes	characteristic
71	#65275	C₂²	1	1	yes	characteristic
72	#65271	C₂²	1	1	yes	characteristic
73	#65270	C₂²	1	1	yes	characteristic
74	#65269	C₂²	1	1	yes	characteristic
75	#65267	C₂²	1	1	yes	characteristic
76	#65267	C₂²	1	1	yes	characteristic
77	#65266	C₂²	1	1	yes	characteristic
78	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
79	#65261	C₂²	1	1	yes	characteristic
80	#65261	C₂²	1	1	yes	characteristic
81	#65261	C₂²	1	1	yes	characteristic
82	#65250	C₂²	1	1	yes	characteristic
83	#65250	C₂²	1	1	yes	characteristic
84	#65250	C₂²	1	1	yes	characteristic
85	#65249	C₂²	1	1	yes	characteristic
86	#65248	C₂²	1	1	yes	characteristic
87	#65248	C₂²	1	1	yes	characteristic
88	#65248	C₂²	1	1	yes	characteristic
89	#65248	C₂²	1	1	yes	characteristic
90	#65248	C₂²	1	1	yes	characteristic
91	#65246	C₂²	1	1	yes	characteristic
92	#65246	C₂²	1	1	yes	characteristic
93	#65246	C₂²	1	1	yes	characteristic
94	#65246	C₂²	1	1	yes	characteristic
95	#65245	C₂²	1	1	yes	characteristic
96	#65245	C₂²	1	1	yes	characteristic
97	#65245	C₂²	1	1	yes	characteristic
98	#65241	C₂²	1	1	yes	characteristic
99	#65241	C₂²	1	1	yes	characteristic
100	#65241	C₂²	1	1	yes	characteristic
101	#65241	C₂²	1	1	yes	characteristic
102	#65240	C₂²	1	1	yes	characteristic
103	#65240	C₂²	1	1	yes	characteristic
104	#65240	C₂²	1	1	yes	characteristic
105	#65238	C₂²	1	1	yes	characteristic
106	#65237	C₂²	1	1	yes	characteristic
107	#65237	C₂²	1	1	yes	characteristic
108	#65237	C₂²	1	1	yes	characteristic
109	#65237	C₂²	1	1	yes	characteristic
110	#65234	C₂²	1	1	yes	characteristic
111	#65234	C₂²	1	1	yes	characteristic
112	#65234	C₂²	1	1	yes	characteristic
113	#65234	C₂²	1	1	yes	characteristic
114	#65233	C₂²	1	1	yes	characteristic
115	#65233	C₂²	1	1	yes	characteristic
116	#65233	C₂²	1	1	yes	characteristic
117	#65233	C₂²	1	1	yes	characteristic
118	#65233	C₂²	1	1	yes	characteristic
119	#65233	C₂²	1	1	yes	characteristic
120	#65229	C₂²	1	1	yes	characteristic
121	#65229	C₂²	1	1	yes	characteristic
122	#65229	C₂²	1	1	yes	characteristic
123	#65229	C₂²	1	1	yes	characteristic
124	C₄×#685	C₂²	1	1	yes	characteristic
125	#65222	C₂²	1	1	yes	characteristic
126	#65222	C₂²	1	1	yes	characteristic
127	#65221	C₂²	1	1	yes	characteristic
128	C₄×#683	C₂²	1	1	yes	characteristic
129	C₄×#683	C₂²	1	1	yes	characteristic
130	#65217	C₂²	1	1	yes	characteristic
131	#64965	C₂²	1	1	yes	characteristic
132	#64964	C₂²	1	1	yes	characteristic
133	#64964	C₂²	1	1	yes	characteristic
134	#64963	C₂²	1	1	yes	characteristic
135	#64963	C₂²	1	1	yes	characteristic
136	#64963	C₂²	1	1	yes	characteristic
137	#64959	C₂²	1	1	yes	characteristic
138	#64959	C₂²	1	1	yes	characteristic
139	#64959	C₂²	1	1	yes	characteristic
140	#64959	C₂²	1	1	yes	characteristic
141	#64958	C₂²	1	1	yes	characteristic
142	#64958	C₂²	1	1	yes	characteristic
143	#64958	C₂²	1	1	yes	characteristic
144	#64957	C₂²	1	1	yes	characteristic
145	#64957	C₂²	1	1	yes	characteristic
146	#64957	C₂²	1	1	yes	characteristic
147	#64957	C₂²	1	1	yes	characteristic
148	#64957	C₂²	1	1	yes	characteristic
149	#64957	C₂²	1	1	yes	characteristic
150	#64956	C₂²	1	1	yes	characteristic
151	#64956	C₂²	1	1	yes	characteristic
152	#64956	C₂²	1	1	yes	characteristic
153	#64955	C₂²	1	1	yes	characteristic
154	#64954	C₂²	1	1	yes	characteristic
155	#64954	C₂²	1	1	yes	characteristic
156	#64953	C₂²	1	1	yes	characteristic
157	C₅⋊#401	C₂²	1	1	yes	characteristic
158	#64950	C₂²	1	1	yes	characteristic
159	#64950	C₂²	1	1	yes	characteristic
160	#64949	C₂²	1	1	yes	characteristic
161	#64949	C₂²	1	1	yes	characteristic
162	#64948	C₂²	1	1	yes	characteristic
163	#64947	C₂²	1	1	yes	characteristic
164	#64947	C₂²	1	1	yes	characteristic
165	#64947	C₂²	1	1	yes	characteristic
166	#64946	C₂²	1	1	yes	characteristic
167	#64946	C₂²	1	1	yes	characteristic
168	#64946	C₂²	1	1	yes	characteristic
169	#64944	C₂²	1	1	yes	characteristic
170	#64944	C₂²	1	1	yes	characteristic
171	#64944	C₂²	1	1	yes	characteristic
172	#64943	C₂²	1	1	yes	characteristic
173	#64943	C₂²	1	1	yes	characteristic
174	#64943	C₂²	1	1	yes	characteristic
175	#64943	C₂²	1	1	yes	characteristic
176	#64943	C₂²	1	1	yes	characteristic
177	#64942	C₂²	1	1	yes	characteristic
178	#64942	C₂²	1	1	yes	characteristic
179	#64941	C₂²	1	1	yes	characteristic
180	#64941	C₂²	1	1	yes	characteristic
181	#64941	C₂²	1	1	yes	characteristic
182	#64939	C₂²	1	1	yes	characteristic
183	#64939	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	#36769	—	5	1	no	maximal, Sylow
188	C₂²×C₅×D₄	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×C₂²⋊D₅	C₂³	1	1	yes	characteristic
194	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
195	C₂²×D₂₀	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₅	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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₅×C₂²⋊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×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₅×C₂²⋊C₄	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	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
230	#4084	—	4	2	no	—
231	C₄×C₂²⋊D₅	—	2	4	no	—
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×#685	C₂³	1	1	yes	characteristic
251	C₂×#685	C₂³	1	1	yes	characteristic
252	#4072	—	4	2	no	—
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×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊Dic₅	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×#683	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	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
294	#4040	—	2	4	no	—
295	#4035	—	4	2	no	—
296	#4035	—	4	2	no	—
297	#4030	—	4	2	no	—
298	#4029	—	2	4	no	—
299	C₄²×D₅	—	4	2	no	—
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	C₅×#95	C₂³	1	1	yes	characteristic
311	C₅×#95	C₂³	1	1	yes	characteristic
312	C₅×#95	C₂³	1	1	yes	characteristic
313	C₅×#95	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	#2854	—	5	1	no	—
353	#2851	—	5	1	no	—
354	#2801	—	5	1	no	—
355	#2797	—	5	1	no	—
356	#2787	—	5	1	no	—
357	#2782	—	5	1	no	—
358	#2781	—	5	1	no	—
359	#2779	—	5	1	no	—
360	#2772	—	5	1	no	—
361	#2772	—	5	1	no	—
362	#2765	—	5	1	no	—
363	#2761	—	5	1	no	—
364	#2753	—	5	1	no	—
365	#2746	—	5	1	no	—
366	#2719	—	5	1	no	—
367	#2711	—	5	1	no	—
368	#2711	—	5	1	no	—
369	#2688	—	5	1	no	—
370	#2630	—	5	1	no	—
371	#2630	—	5	1	no	—
372	#2597	—	5	1	no	—
373	#2596	—	5	1	no	—
374	#2576	D₅	1	1	yes	characteristic, complemented
375	#2575	—	5	1	no	—
376	#2531	—	5	1	no	—
377	#2528	—	5	1	no	—
378	#2476	—	5	1	no	—
379	#2475	—	5	1	no	—
380	#2335	—	5	1	no	—
381	#2335	—	5	1	no	—
382	#2290	—	5	1	no	—
383	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
384	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
385	C₂³×D₅	C₂⁴	1	1	yes	characteristic
386	C₂³×D₅	C₂⁴	1	1	yes	characteristic
387	C₂×C₅×D₄	—	4	1	no	—
388	C₂×C₅×D₄	—	4	1	no	—
389	C₂×C₅×D₄	—	4	1	no	—
390	C₂²×C₄×C₅	—	2	2	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	—	4	1	no	—
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	C₂×C₂²⋊D₅	—	4	1	no	—
416	C₂×C₂²⋊D₅	—	4	1	no	—
417	C₂×C₂²⋊D₅	—	4	1	no	—
418	C₂×C₂²⋊D₅	—	4	1	no	—
419	C₂×C₂²⋊D₅	—	4	1	no	—
420	C₂×C₂²⋊D₅	—	4	1	no	—
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	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
435	C₂×D₂₀	—	2	2	no	—
436	C₂×D₂₀	—	4	1	no	—
437	C₂×D₂₀	—	4	1	no	—
438	C₂×C₄×D₅	—	2	2	no	—
439	C₂×C₄×D₅	—	4	1	no	—
440	C₂×C₄×D₅	—	4	1	no	—
441	C₂×C₄×D₅	—	4	1	no	—
442	C₂×C₄×D₅	—	4	1	no	—
443	C₂×C₄×D₅	—	4	1	no	—
444	C₂×C₄×D₅	—	4	1	no	—
445	C₂×C₄×D₅	—	4	1	no	—
446	C₂×C₄×D₅	—	4	1	no	—
447	C₂×C₄×D₅	—	4	1	no	—
448	C₂×C₄×D₅	—	4	1	no	—
449	C₂×C₄×D₅	#41	1	4	yes	—
450	C₅×C₄⋊C₄	—	2	2	no	—
451	C₅×C₄⋊C₄	—	4	1	no	—
452	C₅×C₄⋊C₄	—	4	1	no	—
453	C₅×C₄⋊C₄	—	4	1	no	—
454	C₅×C₄⋊C₄	—	4	1	no	—
455	C₅×C₂²⋊C₄	—	2	2	no	—
456	C₅×C₂²⋊C₄	—	4	1	no	—
457	C₅×C₂²⋊C₄	—	4	1	no	—
458	C₅×C₂²⋊C₄	—	4	1	no	—
459	C₅×C₂²⋊C₄	—	4	1	no	—
460	C₅×C₂²⋊C₄	—	4	1	no	—
461	C₅×C₂²⋊C₄	—	4	1	no	—
462	C₅×C₂²⋊C₄	—	4	1	no	—
463	C₅×C₂²⋊C₄	—	4	1	no	—
464	C₅×C₂²⋊C₄	—	4	1	no	—
465	C₄²×C₅	—	4	1	no	—
466	C₄²×C₅	—	4	1	no	—
467	C₄²×C₅	—	4	1	no	—
468	C₂²⋊Dic₅	—	2	2	no	—
469	C₂²⋊Dic₅	—	2	2	no	—
470	C₂²⋊Dic₅	—	2	2	no	—
471	C₂²⋊Dic₅	—	4	1	no	—
472	C₂²⋊Dic₅	—	4	1	no	—
473	C₂²⋊Dic₅	—	4	1	no	—
474	C₂²⋊Dic₅	—	4	1	no	—
475	C₂²⋊Dic₅	—	4	1	no	—
476	C₂²⋊Dic₅	—	4	1	no	—
477	C₂²⋊Dic₅	—	4	1	no	—
478	C₂²⋊Dic₅	—	4	1	no	—
479	C₂²⋊Dic₅	—	4	1	no	—
480	#685	—	2	2	no	—
481	#685	—	2	2	no	—
482	#685	—	2	2	no	—
483	#685	—	2	2	no	—
484	#685	—	2	2	no	—
485	#685	—	4	1	no	—
486	#685	—	4	1	no	—
487	#685	—	4	1	no	—
488	#685	—	4	1	no	—
489	#685	—	4	1	no	—
490	#685	—	4	1	no	—
491	#685	—	4	1	no	—
492	#685	—	4	1	no	—
493	#685	—	4	1	no	—
494	#685	—	4	1	no	—
495	#685	—	4	1	no	—
496	#685	—	4	1	no	—
497	#685	—	4	1	no	—
498	#685	—	4	1	no	—
499	#685	—	4	1	no	—
500	C₄⋊Dic₅	—	2	2	no	—
501	C₄⋊Dic₅	—	2	2	no	—
502	C₄⋊Dic₅	—	2	2	no	—
503	C₄⋊Dic₅	—	4	1	no	—
504	C₄⋊Dic₅	—	4	1	no	—
505	C₄⋊Dic₅	—	4	1	no	—
506	C₄⋊Dic₅	—	4	1	no	—
507	C₄⋊Dic₅	—	4	1	no	—
508	C₄⋊Dic₅	—	4	1	no	—
509	#683	—	2	2	no	—
510	#683	—	2	2	no	—
511	#683	—	2	2	no	—
512	#683	—	2	2	no	—
513	#683	—	2	2	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	#683	—	4	1	no	—
522	#683	—	4	1	no	—
523	#683	—	4	1	no	—
524	#683	—	4	1	no	—
525	#683	—	4	1	no	—
526	#683	—	4	1	no	—
527	#683	—	4	1	no	—
528	#683	—	4	1	no	—
529	#683	—	4	1	no	—
530	#683	—	4	1	no	—
531	C₄×Dic₅	—	2	2	no	—
532	C₄×Dic₅	—	2	2	no	—
533	C₄×Dic₅	—	2	2	no	—
534	C₄×Dic₅	—	4	1	no	—
535	C₄×Dic₅	—	4	1	no	—
536	C₄×Dic₅	—	4	1	no	—
537	C₄×Dic₅	—	4	1	no	—
538	C₄×Dic₅	—	4	1	no	—
539	C₄×Dic₅	—	4	1	no	—
540	C₄×Dic₅	—	4	1	no	—
541	C₂×#125	—	5	1	no	—
542	C₂×#125	—	5	1	no	—
543	C₂×#123	—	5	1	no	—
544	C₂×#123	—	5	1	no	—
545	C₂×#121	—	5	1	no	—
546	C₂×#121	—	5	1	no	—
547	C₂×C₄×D₄	—	5	1	no	—
548	C₂×#117	—	5	1	no	—
549	C₂²×C₄²	—	5	1	no	—
550	#401	—	5	1	no	—
551	#401	C₂×D₅	1	1	yes	characteristic
552	#400	—	5	1	no	—
553	#400	—	5	1	no	—
554	#400	—	5	1	no	—
555	#400	—	5	1	no	—
556	#400	—	5	1	no	—
557	#400	—	5	1	no	—
558	#400	—	5	1	no	—
559	#400	—	5	1	no	—
560	#399	—	5	1	no	—
561	#399	—	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	#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	#397	—	5	1	no	—
575	#397	—	5	1	no	—
576	#397	—	5	1	no	—
577	#397	C₂×D₅	1	1	yes	characteristic
578	#396	—	5	1	no	—
579	#396	—	5	1	no	—
580	#396	—	5	1	no	—
581	#396	—	5	1	no	—
582	#396	—	5	1	no	—
583	#396	C₂×D₅	1	1	yes	characteristic
584	#394	—	5	1	no	—
585	#394	—	5	1	no	—
586	#394	—	5	1	no	—
587	#394	—	5	1	no	—
588	#394	—	5	1	no	—
589	#394	—	5	1	no	—
590	#394	—	5	1	no	—
591	#394	—	5	1	no	—
592	#394	—	5	1	no	—
593	#394	—	5	1	no	—
594	#394	—	5	1	no	—
595	#394	C₂×D₅	1	1	yes	characteristic
596	#392	—	5	1	no	—
597	#392	—	5	1	no	—
598	#390	—	5	1	no	—
599	#390	—	5	1	no	—
600	#390	—	5	1	no	—
601	#390	—	5	1	no	—
602	#390	—	5	1	no	—
603	#389	—	5	1	no	—
604	#389	—	5	1	no	—
605	#389	—	5	1	no	—
606	#389	—	5	1	no	—
607	#389	—	5	1	no	—
608	#389	—	5	1	no	—
609	#389	—	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	#388	—	5	1	no	—
621	#388	—	5	1	no	—
622	#388	—	5	1	no	—
623	#388	—	5	1	no	—
624	#388	—	5	1	no	—
625	#388	—	5	1	no	—
626	#388	—	5	1	no	—
627	#388	—	5	1	no	—
628	#388	—	5	1	no	—
629	#388	—	5	1	no	—
630	#388	—	5	1	no	—
631	#388	—	5	1	no	—
632	#388	—	5	1	no	—
633	#388	—	5	1	no	—
634	#388	C₂×D₅	1	1	yes	characteristic
635	#388	C₂×D₅	1	1	yes	characteristic
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	—	5	1	no	—
645	#387	—	5	1	no	—
646	#387	—	5	1	no	—
647	#387	—	5	1	no	—
648	#387	—	5	1	no	—
649	#387	—	5	1	no	—
650	#387	—	5	1	no	—
651	#387	—	5	1	no	—
652	#387	—	5	1	no	—
653	#387	—	5	1	no	—
654	#387	C₂×D₅	1	1	yes	characteristic
655	#387	C₂×D₅	1	1	yes	characteristic
656	#386	—	5	1	no	—
657	#386	—	5	1	no	—
658	#386	—	5	1	no	—
659	#386	—	5	1	no	—
660	#386	—	5	1	no	—
661	#386	—	5	1	no	—
662	#386	—	5	1	no	—
663	#386	—	5	1	no	—
664	#386	C₂×D₅	1	1	yes	characteristic
665	#386	C₂×D₅	1	1	yes	characteristic
666	#385	—	5	1	no	—
667	#385	—	5	1	no	—
668	#385	—	5	1	no	—
669	#385	—	5	1	no	—
670	#385	—	5	1	no	—
671	#385	—	5	1	no	—
672	#385	—	5	1	no	—
673	#385	—	5	1	no	—
674	#385	—	5	1	no	—
675	#385	—	5	1	no	—
676	#385	—	5	1	no	—
677	#385	C₂×D₅	1	1	yes	characteristic
678	#382	—	5	1	no	—
679	#382	—	5	1	no	—
680	#382	—	5	1	no	—
681	#382	C₂×D₅	1	1	yes	characteristic
682	#381	—	5	1	no	—
683	#381	C₂×D₅	1	1	yes	characteristic
684	#380	—	5	1	no	—
685	#380	—	5	1	no	—
686	#380	—	5	1	no	—
687	#380	—	5	1	no	—
688	C₄×C₄⋊C₄	—	5	1	no	—
689	C₄×C₄⋊C₄	—	5	1	no	—
690	C₄×C₄⋊C₄	—	5	1	no	—
691	C₄×C₂²⋊C₄	—	5	1	no	—
692	C₄×C₂²⋊C₄	—	5	1	no	—
693	C₄×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic
694	C₄×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic
695	#376	—	5	1	no	—
696	C₂³×C₅	—	2	1	no	—
697	C₂³×C₅	—	2	1	no	—
698	C₂³×C₅	—	2	1	no	—
699	C₂³×C₅	—	2	1	no	—
700	C₂³×C₅	—	2	1	no	—
701	C₂³×C₅	—	2	1	no	—
702	C₂³×C₅	—	2	1	no	—
703	C₂³×C₅	—	2	1	no	—
704	C₂³×C₅	—	2	1	no	—
705	C₂³×C₅	—	2	1	no	—
706	C₂³×C₅	—	2	1	no	—
707	C₂³×C₅	—	2	1	no	—
708	C₂³×C₅	—	2	1	no	—
709	C₂³×C₅	—	2	1	no	—
710	C₂³×C₅	C₂⁵	1	1	yes	characteristic
711	C₂²×D₅	—	2	1	no	—
712	C₂²×D₅	—	2	1	no	—
713	C₂²×D₅	—	2	1	no	—
714	C₂²×D₅	—	2	1	no	—
715	C₂²×D₅	—	2	1	no	—
716	C₂²×D₅	—	2	1	no	—
717	C₂²×D₅	—	2	1	no	—
718	C₂²×D₅	—	2	1	no	—
719	C₂²×D₅	—	2	1	no	—
720	C₂²×D₅	—	2	1	no	—
721	C₂²×D₅	—	2	1	no	—
722	C₂²×D₅	—	2	1	no	—
723	C₂²×D₅	—	2	1	no	—
724	C₂²×D₅	C₂×#41	1	2	yes	—
725	C₅×D₄	—	8	2	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	—	2	1	no	—
749	C₂×C₄×C₅	—	2	1	no	—
750	C₂×C₄×C₅	—	2	1	no	—
751	C₂×C₄×C₅	—	2	1	no	—
752	C₂×C₄×C₅	—	2	1	no	—
753	C₂×C₄×C₅	—	2	1	no	—
754	C₂×C₄×C₅	—	2	1	no	—
755	C₂×C₄×C₅	—	2	1	no	—
756	C₂×C₄×C₅	—	2	1	no	—
757	C₂×C₄×C₅	—	2	1	no	—
758	C₂×C₄×C₅	—	2	1	no	—
759	C₂×C₄×C₅	—	2	1	no	—
760	C₂×C₄×C₅	—	2	1	no	—
761	C₂×C₄×C₅	—	2	1	no	—
762	C₂×C₄×C₅	—	2	1	no	—
763	C₂×C₄×C₅	—	2	1	no	—
764	C₂×C₄×C₅	—	4	4	no	—
765	C₂×C₄×C₅	—	8	2	no	—
766	C₂×C₄×C₅	C₂×#41	1	2	yes	—
767	C₂²⋊D₅	—	4	4	no	—
768	C₂²⋊D₅	—	8	2	no	—
769	C₂²⋊D₅	—	8	2	no	—
770	C₂²⋊D₅	—	8	2	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	—	2	1	no	—
796	C₂×Dic₅	—	2	1	no	—
797	C₂×Dic₅	—	2	1	no	—
798	C₂×Dic₅	—	2	1	no	—
799	C₂×Dic₅	—	2	1	no	—
800	C₂×Dic₅	—	2	1	no	—
801	C₂×Dic₅	—	2	1	no	—
802	C₂×Dic₅	—	2	1	no	—
803	C₂×Dic₅	—	2	1	no	—
804	C₂×Dic₅	—	2	1	no	—
805	C₂×Dic₅	—	2	1	no	—
806	C₂×Dic₅	—	2	1	no	—
807	C₂×Dic₅	—	2	1	no	—
808	C₂×Dic₅	—	2	1	no	—
809	C₂×Dic₅	—	2	1	no	—
810	C₂×Dic₅	—	2	1	no	—
811	C₂×Dic₅	C₂×#41	1	2	yes	—
812	C₂×Dic₅	H(5,𝔽₂)	1	2	yes	—
813	D₂₀	—	8	2	no	—
814	C₄×D₅	—	4	4	no	—
815	C₄×D₅	—	4	4	no	—
816	C₄×D₅	—	4	4	no	—
817	C₄×D₅	—	8	2	no	—
818	C₂²×D₄	—	5	1	no	—
819	C₂²×D₄	—	5	1	no	—
820	C₂²×D₄	—	5	1	no	—
821	C₂²×D₄	—	5	1	no	—
822	C₂²×D₄	—	5	1	no	—
823	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
824	C₂³×C₄	—	5	1	no	—
825	C₂³×C₄	—	5	1	no	—
826	C₂³×C₄	—	5	1	no	—
827	C₂³×C₄	—	5	1	no	—
828	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
829	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
830	#125	—	20	2	no	—
831	#125	—	20	2	no	—
832	#123	—	10	4	no	—
833	#123	—	10	4	no	—
834	#121	—	20	2	no	—
835	#121	—	20	2	no	—
836	C₄×D₄	—	10	4	no	—
837	#117	—	20	2	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	—	5	1	no	—
854	C₂×C₄⋊C₄	—	5	1	no	—
855	C₂×C₄⋊C₄	—	5	1	no	—
856	C₂×C₄⋊C₄	—	5	1	no	—
857	C₂×C₄⋊C₄	—	5	1	no	—
858	C₂×C₄⋊C₄	—	5	1	no	—
859	C₂×C₄⋊C₄	—	5	1	no	—
860	C₂×C₄⋊C₄	—	5	1	no	—
861	C₂×C₄⋊C₄	—	5	1	no	—
862	C₂×C₄⋊C₄	—	5	1	no	—
863	C₂×C₄⋊C₄	—	5	1	no	—
864	C₂×C₄⋊C₄	—	5	1	no	—
865	C₂×C₄⋊C₄	—	5	1	no	—
866	C₂×C₄⋊C₄	—	5	1	no	—
867	C₂×C₄⋊C₄	—	5	1	no	—
868	C₂×C₄⋊C₄	—	5	1	no	—
869	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
870	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
871	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
872	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
873	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
892	C₂×C₂²⋊C₄	—	5	1	no	—
893	C₂×C₂²⋊C₄	—	5	1	no	—
894	C₂×C₂²⋊C₄	—	5	1	no	—
895	C₂×C₂²⋊C₄	—	5	1	no	—
896	C₂×C₂²⋊C₄	—	5	1	no	—
897	C₂×C₂²⋊C₄	—	5	1	no	—
898	C₂×C₂²⋊C₄	—	5	1	no	—
899	C₂×C₂²⋊C₄	—	5	1	no	—
900	C₂×C₂²⋊C₄	—	5	1	no	—
901	C₂×C₂²⋊C₄	—	5	1	no	—
902	C₂×C₂²⋊C₄	—	5	1	no	—
903	C₂×C₂²⋊C₄	—	5	1	no	—
904	C₂×C₂²⋊C₄	—	5	1	no	—
905	C₂×C₂²⋊C₄	—	5	1	no	—
906	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
907	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
908	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
909	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
910	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
911	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
912	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
913	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
914	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
915	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
916	C₂×C₄²	—	5	1	no	—
917	C₂×C₄²	—	5	1	no	—
918	C₂×C₄²	—	5	1	no	—
919	C₂×C₄²	—	5	1	no	—
920	C₂×C₄²	—	5	1	no	—
921	C₂×C₄²	—	5	1	no	—
922	C₂×C₄²	—	5	1	no	—
923	C₂×C₄²	—	5	1	no	—
924	C₂×C₄²	—	5	1	no	—
925	C₂×C₄²	—	5	1	no	—
926	C₂×C₄²	—	20	2	no	—
927	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
928	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
929	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
953	#95	—	5	1	no	—
954	#95	—	5	1	no	—
955	#95	—	5	1	no	—
956	#95	—	5	1	no	—
957	#95	—	5	1	no	—
958	#95	—	5	1	no	—
959	#95	—	5	1	no	—
960	#95	—	5	1	no	—
961	#95	—	5	1	no	—
962	#95	—	5	1	no	—
963	#95	—	5	1	no	—
964	#95	—	5	1	no	—
965	#95	—	5	1	no	—
966	#95	—	5	1	no	—
967	#95	—	5	1	no	—
968	#95	C₂²×D₅	1	1	yes	characteristic
969	#95	C₂²×D₅	1	1	yes	characteristic
970	#95	C₂²×D₅	1	1	yes	characteristic
971	#95	C₂²×D₅	1	1	yes	characteristic
972	#95	C₂²×D₅	1	1	yes	characteristic
973	#95	C₂²×D₅	1	1	yes	characteristic
974	#95	C₂²×D₅	1	1	yes	characteristic
975	#95	C₂²×D₅	1	1	yes	characteristic
976	#95	C₂²×D₅	1	1	yes	characteristic
977	#95	C₂²×D₅	1	1	yes	characteristic
978	#95	C₂²×D₅	1	1	yes	characteristic
979	#95	C₂²×D₅	1	1	yes	characteristic
980	#95	C₂²×D₅	1	1	yes	characteristic
981	#95	C₂²×D₅	1	1	yes	characteristic
982	C₂²×C₅	—	4	1	no	—
983	C₂²×C₅	—	4	1	no	—
984	C₂²×C₅	—	4	1	no	—
985	C₂²×C₅	—	4	1	no	—
986	C₂²×C₅	—	4	1	no	—
987	C₂²×C₅	—	4	1	no	—
988	C₂²×C₅	—	4	1	no	—
989	C₂²×C₅	—	4	1	no	—
990	C₂²×C₅	—	4	1	no	—
991	C₂²×C₅	—	4	1	no	—
992	C₂²×C₅	—	4	1	no	—
993	C₂²×C₅	—	4	1	no	—
994	C₂²×C₅	—	4	1	no	—
995	C₂²×C₅	—	4	1	no	—
996	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
997	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
998	C₂²×C₅	#585	1	1	yes	characteristic
999	C₂²×C₅	#585	1	1	yes	characteristic
1000	C₂²×C₅	#585	1	1	yes	characteristic
1001	C₂²×C₅	#585	1	1	yes	characteristic
1002	C₂²×C₅	#585	1	1	yes	characteristic
1003	C₂×D₅	—	2	2	no	—
1004	C₂×D₅	—	2	2	no	—
1005	C₂×D₅	—	2	2	no	—
1006	C₂×D₅	—	4	1	no	—
1007	C₂×D₅	—	4	1	no	—
1008	C₂×D₅	—	4	1	no	—
1009	C₂×D₅	—	4	1	no	—
1010	C₂×D₅	—	4	1	no	—
1011	C₂×D₅	—	4	1	no	—
1012	C₂×D₅	—	4	1	no	—
1013	C₂×D₅	—	4	1	no	—
1014	C₂×D₅	—	4	1	no	—
1015	C₂×D₅	—	4	1	no	—
1016	C₂×D₅	—	4	1	no	—
1017	C₄×C₅	—	2	2	no	—
1018	C₄×C₅	—	4	1	no	—
1019	C₄×C₅	—	4	1	no	—
1020	C₄×C₅	—	4	1	no	—
1021	C₄×C₅	—	4	1	no	—
1022	C₄×C₅	—	4	1	no	—
1023	C₄×C₅	—	4	1	no	—
1024	C₄×C₅	—	4	1	no	—
1025	C₄×C₅	—	4	1	no	—
1026	C₄×C₅	—	4	1	no	—
1027	C₄×C₅	—	4	1	no	—
1028	C₄×C₅	—	4	1	no	—
1029	C₄×C₅	—	4	1	no	—
1030	Dic₅	—	2	2	no	—
1031	Dic₅	—	2	2	no	—
1032	Dic₅	—	4	1	no	—
1033	Dic₅	—	4	1	no	—
1034	Dic₅	—	4	1	no	—
1035	Dic₅	—	4	1	no	—
1036	Dic₅	—	4	1	no	—
1037	Dic₅	—	4	1	no	—
1038	Dic₅	—	4	1	no	—
1039	Dic₅	—	4	1	no	—
1040	Dic₅	—	4	1	no	—
1041	Dic₅	—	4	1	no	—
1042	Dic₅	—	4	1	no	—
1043	Dic₅	—	4	1	no	—
1044	C₂⁴	—	5	1	no	—
1045	C₂⁴	—	5	1	no	—
1046	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1047	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1048	C₂×D₄	—	4	1	no	—
1049	C₂×D₄	—	4	1	no	—
1050	C₂×D₄	—	4	1	no	—
1051	C₂×D₄	—	10	2	no	—
1052	C₂×D₄	—	10	2	no	—
1053	C₂×D₄	—	10	2	no	—
1054	C₂×D₄	—	10	2	no	—
1055	C₂×D₄	—	20	1	no	—
1056	C₂×D₄	—	20	1	no	—
1057	C₂×D₄	—	20	1	no	—
1058	C₂×D₄	—	20	1	no	—
1059	C₂×D₄	—	20	1	no	—
1060	C₂×D₄	—	20	1	no	—
1061	C₂×D₄	—	20	1	no	—
1062	C₂×D₄	—	20	1	no	—
1063	C₂×D₄	—	20	1	no	—
1064	C₂×D₄	—	20	1	no	—
1065	C₂×D₄	—	20	1	no	—
1066	C₂²×C₄	—	2	2	no	—
1067	C₂²×C₄	—	4	1	no	—
1068	C₂²×C₄	—	4	1	no	—
1069	C₂²×C₄	—	4	1	no	—
1070	C₂²×C₄	—	4	1	no	—
1071	C₂²×C₄	—	4	1	no	—
1072	C₂²×C₄	—	5	1	no	—
1073	C₂²×C₄	—	5	1	no	—
1074	C₂²×C₄	—	5	4	no	—
1075	C₂²×C₄	—	5	1	no	—
1076	C₂²×C₄	—	5	1	no	—
1077	C₂²×C₄	—	5	1	no	—
1078	C₂²×C₄	—	5	1	no	—
1079	C₂²×C₄	—	5	1	no	—
1080	C₂²×C₄	—	5	1	no	—
1081	C₂²×C₄	—	5	1	no	—
1082	C₂²×C₄	—	5	1	no	—
1083	C₂²×C₄	—	5	1	no	—
1084	C₂²×C₄	—	5	1	no	—
1085	C₂²×C₄	—	5	1	no	—
1086	C₂²×C₄	—	5	1	no	—
1087	C₂²×C₄	—	10	2	no	—
1088	C₂²×C₄	—	20	1	no	—
1089	C₂²×C₄	—	20	1	no	—
1090	C₂²×C₄	—	20	1	no	—
1091	C₂²×C₄	—	20	1	no	—
1092	C₂²×C₄	—	20	1	no	—
1093	C₂²×C₄	—	20	1	no	—
1094	C₂²×C₄	—	20	1	no	—
1095	C₂²×C₄	—	20	1	no	—
1096	C₂²×C₄	—	20	1	no	—
1097	C₂²×C₄	—	20	1	no	—
1098	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1099	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1100	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1101	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1102	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1103	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1104	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1105	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1106	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1107	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1108	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1109	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1110	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1111	C₄⋊C₄	—	2	2	no	—
1112	C₄⋊C₄	—	4	1	no	—
1113	C₄⋊C₄	—	4	1	no	—
1114	C₄⋊C₄	—	4	1	no	—
1115	C₄⋊C₄	—	4	1	no	—
1116	C₄⋊C₄	—	10	2	no	—
1117	C₄⋊C₄	—	10	2	no	—
1118	C₄⋊C₄	—	10	2	no	—
1119	C₄⋊C₄	—	10	2	no	—
1120	C₄⋊C₄	—	10	2	no	—
1121	C₄⋊C₄	—	10	2	no	—
1122	C₄⋊C₄	—	10	2	no	—
1123	C₄⋊C₄	—	10	2	no	—
1124	C₄⋊C₄	—	20	1	no	—
1125	C₄⋊C₄	—	20	1	no	—
1126	C₄⋊C₄	—	20	1	no	—
1127	C₄⋊C₄	—	20	1	no	—
1128	C₄⋊C₄	—	20	1	no	—
1129	C₄⋊C₄	—	20	1	no	—
1130	C₄⋊C₄	—	20	1	no	—
1131	C₄⋊C₄	—	20	1	no	—
1132	C₄⋊C₄	—	20	1	no	—
1133	C₄⋊C₄	—	20	1	no	—
1134	C₄⋊C₄	—	20	1	no	—
1135	C₄⋊C₄	—	20	1	no	—
1136	C₄⋊C₄	—	20	1	no	—
1137	C₄⋊C₄	—	20	1	no	—
1138	C₄⋊C₄	—	20	1	no	—
1139	C₄⋊C₄	—	20	1	no	—
1140	C₄⋊C₄	—	20	1	no	—
1141	C₄⋊C₄	—	20	1	no	—
1142	C₄⋊C₄	—	20	1	no	—
1143	C₄⋊C₄	—	20	1	no	—
1144	C₄⋊C₄	—	20	1	no	—
1145	C₄⋊C₄	—	20	1	no	—
1146	C₄⋊C₄	—	20	1	no	—
1147	C₂²⋊C₄	—	2	2	no	—
1148	C₂²⋊C₄	—	4	1	no	—
1149	C₂²⋊C₄	—	4	1	no	—
1150	C₂²⋊C₄	—	4	1	no	—
1151	C₂²⋊C₄	—	4	1	no	—
1152	C₂²⋊C₄	—	4	1	no	—
1153	C₂²⋊C₄	—	4	1	no	—
1154	C₂²⋊C₄	—	4	1	no	—
1155	C₂²⋊C₄	—	4	1	no	—
1156	C₂²⋊C₄	—	4	1	no	—
1157	C₂²⋊C₄	—	10	2	no	—
1158	C₂²⋊C₄	—	10	2	no	—
1159	C₂²⋊C₄	—	10	2	no	—
1160	C₂²⋊C₄	—	10	2	no	—
1161	C₂²⋊C₄	—	10	2	no	—
1162	C₂²⋊C₄	—	10	2	no	—
1163	C₂²⋊C₄	—	10	2	no	—
1164	C₂²⋊C₄	—	10	2	no	—
1165	C₂²⋊C₄	—	20	1	no	—
1166	C₂²⋊C₄	—	20	1	no	—
1167	C₂²⋊C₄	—	20	1	no	—
1168	C₂²⋊C₄	—	20	1	no	—
1169	C₂²⋊C₄	—	20	1	no	—
1170	C₂²⋊C₄	—	20	1	no	—
1171	C₂²⋊C₄	—	20	1	no	—
1172	C₂²⋊C₄	—	20	1	no	—
1173	C₂²⋊C₄	—	20	1	no	—
1174	C₂²⋊C₄	—	20	1	no	—
1175	C₂²⋊C₄	—	20	1	no	—
1176	C₂²⋊C₄	—	20	1	no	—
1177	C₂²⋊C₄	—	20	1	no	—
1178	C₂²⋊C₄	—	20	1	no	—
1179	C₂²⋊C₄	—	20	1	no	—
1180	C₂²⋊C₄	—	20	1	no	—
1181	C₂²⋊C₄	—	20	1	no	—
1182	C₂²⋊C₄	—	20	1	no	—
1183	C₂²⋊C₄	—	20	1	no	—
1184	C₂²⋊C₄	—	20	1	no	—
1185	C₂²⋊C₄	—	20	1	no	—
1186	C₂²⋊C₄	—	20	1	no	—
1187	C₂²⋊C₄	—	20	1	no	—
1188	C₂²⋊C₄	—	20	1	no	—
1189	C₄²	—	4	1	no	—
1190	C₄²	—	4	1	no	—
1191	C₄²	—	4	1	no	—
1192	C₄²	—	10	2	no	—
1193	C₄²	—	10	2	no	—
1194	C₄²	—	10	2	no	—
1195	C₄²	—	20	1	no	—
1196	C₄²	—	20	1	no	—
1197	C₄²	—	20	1	no	—
1198	C₄²	—	20	1	no	—
1199	C₄²	—	20	1	no	—
1200	C₄²	—	20	1	no	—
1201	C₄²	—	20	1	no	—
1202	C₂×C₅	—	8	1	no	—
1203	C₂×C₅	—	8	1	no	—
1204	C₂×C₅	#3455	1	1	yes	characteristic
1205	C₂×C₅	#3505	1	1	yes	characteristic
1206	C₂×C₅	#3512	1	1	yes	characteristic
1207	C₂×C₅	#3533	1	1	yes	characteristic
1208	C₂×C₅	#3540	1	1	yes	characteristic
1209	C₂×C₅	#3566	1	1	yes	characteristic
1210	C₂×C₅	#3567	1	1	yes	characteristic
1211	D₅	—	4	2	no	—
1212	D₅	—	8	1	no	—
1213	C₂³	—	2	1	no	—
1214	C₂³	—	2	1	no	—
1215	C₂³	—	2	1	no	—
1216	C₂³	—	2	1	no	—
1217	C₂³	—	2	1	no	—
1218	C₂³	—	2	1	no	—
1219	C₂³	—	2	1	no	—
1220	C₂³	—	2	1	no	—
1221	C₂³	—	2	1	no	—
1222	C₂³	—	2	1	no	—
1223	C₂³	—	2	1	no	—
1224	C₂³	—	2	1	no	—
1225	C₂³	—	2	1	no	—
1226	C₂³	—	2	1	no	—
1227	C₂³	—	5	2	no	—
1228	C₂³	—	10	1	no	—
1229	C₂³	—	10	1	no	—
1230	C₂³	—	10	1	no	—
1231	C₂³	—	10	1	no	—
1232	C₂³	—	10	1	no	—
1233	C₂³	—	10	1	no	—
1234	C₂³	—	10	1	no	—
1235	C₂³	—	10	1	no	—
1236	C₂³	—	10	1	no	—
1237	C₂³	—	10	1	no	—
1238	C₂³	—	10	1	no	—
1239	C₂³	—	10	1	no	—
1240	C₂³	—	10	1	no	—
1241	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1242	D₄	—	8	2	no	—
1243	D₄	—	20	4	no	—
1244	D₄	—	40	2	no	—
1245	D₄	—	40	2	no	—
1246	D₄	—	40	2	no	—
1247	D₄	—	40	2	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	1	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	1	no	—
1252	C₂×C₄	—	2	1	no	—
1253	C₂×C₄	—	2	1	no	—
1254	C₂×C₄	—	2	1	no	—
1255	C₂×C₄	—	2	1	no	—
1256	C₂×C₄	—	2	1	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	1	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	1	no	—
1262	C₂×C₄	—	2	1	no	—
1263	C₂×C₄	—	2	1	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	2	1	no	—
1266	C₂×C₄	—	2	1	no	—
1267	C₂×C₄	—	2	1	no	—
1268	C₂×C₄	—	2	1	no	—
1269	C₂×C₄	—	2	1	no	—
1270	C₂×C₄	—	2	1	no	—
1271	C₂×C₄	—	2	1	no	—
1272	C₂×C₄	—	2	1	no	—
1273	C₂×C₄	—	2	1	no	—
1274	C₂×C₄	—	2	1	no	—
1275	C₂×C₄	—	2	1	no	—
1276	C₂×C₄	—	2	1	no	—
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	4	4	no	—
1287	C₂×C₄	—	5	2	no	—
1288	C₂×C₄	—	5	2	no	—
1289	C₂×C₄	—	8	2	no	—
1290	C₂×C₄	—	10	1	no	—
1291	C₂×C₄	—	10	1	no	—
1292	C₂×C₄	—	10	1	no	—
1293	C₂×C₄	—	10	1	no	—
1294	C₂×C₄	—	10	1	no	—
1295	C₂×C₄	—	10	1	no	—
1296	C₂×C₄	—	10	1	no	—
1297	C₂×C₄	—	10	1	no	—
1298	C₂×C₄	—	10	1	no	—
1299	C₂×C₄	—	10	1	no	—
1300	C₂×C₄	—	10	1	no	—
1301	C₂×C₄	—	10	1	no	—
1302	C₂×C₄	—	10	1	no	—
1303	C₂×C₄	—	10	1	no	—
1304	C₂×C₄	—	10	1	no	—
1305	C₂×C₄	—	10	1	no	—
1306	C₂×C₄	—	10	1	no	—
1307	C₂×C₄	—	10	1	no	—
1308	C₂×C₄	—	10	1	no	—
1309	C₂×C₄	—	10	1	no	—
1310	C₂×C₄	—	10	1	no	—
1311	C₂×C₄	—	10	1	no	—
1312	C₂×C₄	—	10	1	no	—
1313	C₂×C₄	—	10	1	no	—
1314	C₂×C₄	—	10	1	no	—
1315	C₂×C₄	—	10	1	no	—
1316	C₂×C₄	—	10	1	no	—
1317	C₂×C₄	—	10	1	no	—
1318	C₂×C₄	—	10	1	no	—
1319	C₂×C₄	—	10	1	no	—
1320	C₂×C₄	—	10	1	no	—
1321	C₂×C₄	—	10	1	no	—
1322	C₂×C₄	—	10	1	no	—
1323	C₂×C₄	—	10	1	no	—
1324	C₂×C₄	—	10	1	no	—
1325	C₂×C₄	—	10	1	no	—
1326	C₂×C₄	—	10	1	no	—
1327	C₂×C₄	—	10	1	no	—
1328	C₂×C₄	—	10	1	no	—
1329	C₂×C₄	—	10	1	no	—
1330	C₂×C₄	—	20	4	no	—
1331	C₂×C₄	—	20	4	no	—
1332	C₂×C₄	—	20	4	no	—
1333	C₂×C₄	—	40	2	no	—
1334	C₂×C₄	D₅×#41	1	2	yes	—
1335	C₅	#36769	1	1	yes	characteristic, complemented, Sylow
1336	C₂²	—	4	1	no	—
1337	C₂²	—	4	1	no	—
1338	C₂²	—	4	1	no	—
1339	C₂²	—	4	1	no	—
1340	C₂²	—	4	1	no	—
1341	C₂²	—	4	1	no	—
1342	C₂²	—	4	1	no	—
1343	C₂²	—	4	1	no	—
1344	C₂²	—	4	1	no	—
1345	C₂²	—	4	1	no	—
1346	C₂²	—	4	1	no	—
1347	C₂²	—	4	1	no	—
1348	C₂²	—	4	1	no	—
1349	C₂²	—	4	1	no	—
1350	C₂²	—	10	2	no	—
1351	C₂²	—	10	2	no	—
1352	C₂²	—	10	2	no	—
1353	C₂²	—	20	1	no	—
1354	C₂²	—	20	1	no	—
1355	C₂²	—	20	1	no	—
1356	C₂²	—	20	1	no	—
1357	C₂²	—	20	1	no	—
1358	C₂²	—	20	1	no	—
1359	C₂²	—	20	1	no	—
1360	C₂²	—	20	1	no	—
1361	C₂²	—	20	1	no	—
1362	C₂²	—	20	1	no	—
1363	C₂²	—	20	1	no	—
1364	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1365	C₂²	#66283	1	1	yes	characteristic
1366	C₂²	#66283	1	1	yes	characteristic
1367	C₂²	#66283	1	1	yes	characteristic
1368	C₂²	#66283	1	1	yes	characteristic
1369	C₂²	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1370	C₂²	#66285	1	1	yes	characteristic
1371	C₄	—	2	2	no	—
1372	C₄	—	4	1	no	—
1373	C₄	—	4	1	no	—
1374	C₄	—	4	1	no	—
1375	C₄	—	4	1	no	—
1376	C₄	—	4	1	no	—
1377	C₄	—	4	1	no	—
1378	C₄	—	4	1	no	—
1379	C₄	—	4	1	no	—
1380	C₄	—	4	1	no	—
1381	C₄	—	4	1	no	—
1382	C₄	—	4	1	no	—
1383	C₄	—	4	1	no	—
1384	C₄	—	10	2	no	—
1385	C₄	—	10	2	no	—
1386	C₄	—	20	1	no	—
1387	C₄	—	20	1	no	—
1388	C₄	—	20	1	no	—
1389	C₄	—	20	1	no	—
1390	C₄	—	20	1	no	—
1391	C₄	—	20	1	no	—
1392	C₄	—	20	1	no	—
1393	C₄	—	20	1	no	—
1394	C₄	—	20	1	no	—
1395	C₄	—	20	1	no	—
1396	C₄	—	20	1	no	—
1397	C₄	—	20	1	no	—
1398	C₂	—	8	1	no	—
1399	C₂	—	8	1	no	—
1400	C₂	—	20	2	no	—
1401	C₂	—	40	1	no	—
1402	C₂	#10618024	1	1	yes	characteristic
1403	C₂	#10618047	1	1	yes	characteristic
1404	C₂	#10618316	1	1	yes	characteristic
1405	C₂	#10618705	1	1	yes	characteristic
1406	C₂	#10618726	1	1	yes	characteristic
1407	C₂	#10618808	1	1	yes	characteristic
1408	C₂	#10618815	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅
commutator, socle, cosocle	C₂³×C₅	C₂⁵
Fitting	C₅×#2576	C₂
prime radical	#10606654	C₂
hypercenter	#2576	D₅
hypocenter	C₅	#36769
LCS	G ▷ C₂³×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ #2576

Complements

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

N	H ≅ G/N	type
1. C₅×#2576	C₂	semidirect
2. #10610167	C₂	semidirect
3. #10610155	C₂	semidirect
4. #10609454	C₂	semidirect
5. #10609350	C₂	semidirect
6. #10609115	C₂	semidirect
7. #10609090	C₂	semidirect
8. #10608789	C₂	semidirect
9. #10608765	C₂	semidirect
10. #10607691	C₂	semidirect
11. #10607536	C₂	semidirect
12. #10607506	C₂	semidirect
13. #10607367	C₂	semidirect
14. #10607176	C₂	semidirect
15. #10607033	C₂	semidirect
16. #10606816	C₂	semidirect
17. #10606789	C₂	semidirect
19. #10606638	C₂	semidirect
20. #10606587	C₂	semidirect
21. #10606462	C₂	semidirect
22. #10606353	C₂	semidirect
23. #10606176	C₂	semidirect
24. #10605984	C₂	semidirect
25. #10605930	C₂	semidirect
26. #10605841	C₂	semidirect
27. #10605838	C₂	semidirect
28. #10605302	C₂	semidirect
29. #10605293	C₂	semidirect
30. #10605283	C₂	semidirect
31. #10605264	C₂	semidirect
374. #2576	D₅	semidirect
1335. C₅	#36769	semidirect

Maximal subgroups

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

subgroup	index
C₅×#2576	2
#10610167	2
#10610155	2
#10609454	2
#10609350	2
#10609115	2
#10609090	2
#10608789	2
#10608765	2
#10607691	2
#10607536	2
#10607506	2
#10607367	2
#10607176	2
#10607033	2
#10606816	2
#10606789	2
#10606654	2
#10606638	2
#10606587	2
#10606462	2
#10606353	2
#10606176	2
#10605984	2
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