Subgroups — #12272046

Order 1280.

2214 conjugacy classes of subgroups.

The subgroup lattice has 1562 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#2510	C₂	1	1	yes	maximal, characteristic, complemented
2	#10610163	C₂	1	1	yes	maximal, characteristic, complemented
3	#10610161	C₂	1	1	yes	maximal, characteristic, complemented
4	#10610093	C₂	1	1	yes	maximal, characteristic, complemented
5	#10610080	C₂	1	1	yes	maximal, characteristic, complemented
6	#10609419	C₂	1	1	yes	maximal, characteristic, complemented
7	#10609419	C₂	1	1	yes	maximal, characteristic, complemented
8	#10609213	C₂	1	1	yes	maximal, characteristic, complemented
9	#10609212	C₂	1	1	yes	maximal, characteristic, complemented
10	#10607689	C₂	1	1	yes	maximal, characteristic, complemented
11	#10607689	C₂	1	1	yes	maximal, characteristic, complemented
12	#10607271	C₂	1	1	yes	maximal, characteristic, complemented
13	#10607270	C₂	1	1	yes	maximal, characteristic, complemented
14	#10607177	C₂	1	1	yes	maximal, characteristic, complemented
15	#10607069	C₂	1	1	yes	maximal, characteristic, complemented
16	#10606605	C₂	1	1	yes	maximal, characteristic
17	#10606605	C₂	1	1	yes	maximal, characteristic
18	D₅×#386	C₂	1	1	yes	maximal, characteristic
19	#10606474	C₂	1	1	yes	maximal, characteristic, complemented
20	#10606468	C₂	1	1	yes	maximal, characteristic, complemented
21	#10606466	C₂	1	1	yes	maximal, characteristic, complemented
22	#10606322	C₂	1	1	yes	maximal, characteristic, complemented
23	#10606185	C₂	1	1	yes	maximal, characteristic, complemented
24	#10606048	C₂	1	1	yes	maximal, characteristic, complemented
25	#10606031	C₂	1	1	yes	maximal, characteristic, complemented
26	#10605736	C₂	1	1	yes	maximal, characteristic, complemented
27	#10605659	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×D₅×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
29	#10605234	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#64957	C₂	1	1	yes	maximal, characteristic, complemented
31	#10605087	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
33	C₂³×C₄×D₅	C₂²	1	1	yes	characteristic
34	C₂²×#685	C₂²	1	1	yes	characteristic
35	C₂²×#685	C₂²	1	1	yes	characteristic
36	C₂²×C₄⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
37	C₂²×#683	C₂²	1	1	yes	characteristic, complemented
38	C₂×#4044	C₂²	1	1	yes	characteristic, complemented
39	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
40	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
41	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
42	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
43	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
44	C₂×#4025	C₂²	1	1	yes	characteristic, complemented
45	C₂×#4025	C₂²	1	1	yes	characteristic, complemented
46	C₂×#4022	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
49	C₅×#401	C₂²	1	1	yes	characteristic, complemented
50	C₅×#400	C₂²	1	1	yes	characteristic, complemented
51	C₅×#397	C₂²	1	1	yes	characteristic, complemented
52	C₅×#397	C₂²	1	1	yes	characteristic, complemented
53	C₅×#388	C₂²	1	1	yes	characteristic, complemented
54	C₅×#388	C₂²	1	1	yes	characteristic, complemented
55	C₅×#387	C₂²	1	1	yes	characteristic, complemented
56	C₅×#386	C₂²	1	1	yes	characteristic
57	C₅×#386	C₂²	1	1	yes	characteristic
58	C₅×#386	C₂²	1	1	yes	characteristic
59	C₅×#385	C₂²	1	1	yes	characteristic, complemented
60	C₅×#383	C₂²	1	1	yes	characteristic, complemented
61	C₅×#380	C₂²	1	1	yes	characteristic, complemented
62	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₅×#95	C₂²	1	1	yes	characteristic, complemented
64	#65509	C₂²	1	1	yes	characteristic
65	#65509	C₂²	1	1	yes	characteristic
66	#65509	C₂²	1	1	yes	characteristic
67	#65502	C₂²	1	1	yes	characteristic
68	#65502	C₂²	1	1	yes	characteristic
69	#65502	C₂²	1	1	yes	characteristic
70	#65501	C₂²	1	1	yes	characteristic, complemented
71	#65499	C₂²	1	1	yes	characteristic, complemented
72	C₄×C₂²⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
73	C₂×#3963	C₂²	1	1	yes	characteristic, complemented
74	#65283	C₂²	1	1	yes	characteristic, complemented
75	#65282	C₂²	1	1	yes	characteristic, complemented
76	#65279	C₂²	1	1	yes	characteristic, complemented
77	#65278	C₂²	1	1	yes	characteristic
78	#65278	C₂²	1	1	yes	characteristic
79	#65278	C₂²	1	1	yes	characteristic, complemented
80	#65278	C₂²	1	1	yes	characteristic, complemented
81	#65278	C₂²	1	1	yes	characteristic, complemented
82	#65278	C₂²	1	1	yes	characteristic, complemented
83	#65276	C₂²	1	1	yes	characteristic
84	#65276	C₂²	1	1	yes	characteristic
85	#65275	C₂²	1	1	yes	characteristic, complemented
86	#65275	C₂²	1	1	yes	characteristic, complemented
87	#65270	C₂²	1	1	yes	characteristic, complemented
88	#65270	C₂²	1	1	yes	characteristic, complemented
89	#65247	C₂²	1	1	yes	characteristic
90	#65247	C₂²	1	1	yes	characteristic
91	#65247	C₂²	1	1	yes	characteristic
92	#65245	C₂²	1	1	yes	characteristic
93	#65245	C₂²	1	1	yes	characteristic
94	#65245	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	#65244	C₂²	1	1	yes	characteristic
99	#65244	C₂²	1	1	yes	characteristic
100	#65244	C₂²	1	1	yes	characteristic
101	#65244	C₂²	1	1	yes	characteristic
102	#65242	C₂²	1	1	yes	characteristic, complemented
103	#65242	C₂²	1	1	yes	characteristic, complemented
104	#65241	C₂²	1	1	yes	characteristic, complemented
105	#65241	C₂²	1	1	yes	characteristic, complemented
106	#65240	C₂²	1	1	yes	characteristic, complemented
107	#65240	C₂²	1	1	yes	characteristic, complemented
108	#65239	C₂²	1	1	yes	characteristic, complemented
109	#65237	C₂²	1	1	yes	characteristic, complemented
110	#65237	C₂²	1	1	yes	characteristic, complemented
111	#65235	C₂²	1	1	yes	characteristic, complemented
112	#65234	C₂²	1	1	yes	characteristic, complemented
113	#65234	C₂²	1	1	yes	characteristic, complemented
114	#65231	C₂²	1	1	yes	characteristic, complemented
115	#65231	C₂²	1	1	yes	characteristic, complemented
116	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
117	C₂²⋊C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
118	#65229	C₂²	1	1	yes	characteristic, complemented
119	C₄×#685	C₂²	1	1	yes	characteristic
120	C₄×#685	C₂²	1	1	yes	characteristic
121	#65222	C₂²	1	1	yes	characteristic, complemented
122	#65222	C₂²	1	1	yes	characteristic, complemented
123	#64965	C₂²	1	1	yes	characteristic, complemented
124	#64964	C₂²	1	1	yes	characteristic, complemented
125	#64964	C₂²	1	1	yes	characteristic, complemented
126	#64963	C₂²	1	1	yes	characteristic, complemented
127	#64963	C₂²	1	1	yes	characteristic, complemented
128	#64963	C₂²	1	1	yes	characteristic, complemented
129	#64959	C₂²	1	1	yes	characteristic, complemented
130	#64959	C₂²	1	1	yes	characteristic, complemented
131	#64959	C₂²	1	1	yes	characteristic, complemented
132	#64958	C₂²	1	1	yes	characteristic, complemented
133	#64957	C₂²	1	1	yes	characteristic
134	#64957	C₂²	1	1	yes	characteristic
135	#64957	C₂²	1	1	yes	characteristic
136	#64957	C₂²	1	1	yes	characteristic
137	#64957	C₂²	1	1	yes	characteristic
138	#64957	C₂²	1	1	yes	characteristic
139	#64957	C₂²	1	1	yes	characteristic, complemented
140	#64957	C₂²	1	1	yes	characteristic, complemented
141	#64957	C₂²	1	1	yes	characteristic, complemented
142	#64957	C₂²	1	1	yes	characteristic, complemented
143	#64957	C₂²	1	1	yes	characteristic, complemented
144	#64957	C₂²	1	1	yes	characteristic, complemented
145	#64957	C₂²	1	1	yes	characteristic, complemented
146	#64957	C₂²	1	1	yes	characteristic, complemented
147	#64956	C₂²	1	1	yes	characteristic
148	#64956	C₂²	1	1	yes	characteristic
149	#64955	C₂²	1	1	yes	characteristic
150	#64955	C₂²	1	1	yes	characteristic
151	#64954	C₂²	1	1	yes	characteristic
152	#64954	C₂²	1	1	yes	characteristic
153	#64954	C₂²	1	1	yes	characteristic
154	#64954	C₂²	1	1	yes	characteristic
155	#64954	C₂²	1	1	yes	characteristic
156	#64954	C₂²	1	1	yes	characteristic
157	#64953	C₂²	1	1	yes	characteristic
158	#64953	C₂²	1	1	yes	characteristic
159	#64953	C₂²	1	1	yes	characteristic
160	#64953	C₂²	1	1	yes	characteristic
161	D₅×#95	C₂²	1	1	yes	characteristic
162	D₅×#95	C₂²	1	1	yes	characteristic
163	D₅×#95	C₂²	1	1	yes	characteristic, complemented
164	D₅×#95	C₂²	1	1	yes	characteristic, complemented
165	C₅⋊#401	C₂²	1	1	yes	characteristic, complemented
166	C₅⋊#401	C₂²	1	1	yes	characteristic, complemented
167	C₅⋊#401	C₂²	1	1	yes	characteristic, complemented
168	#64949	C₂²	1	1	yes	characteristic, complemented
169	#64949	C₂²	1	1	yes	characteristic, complemented
170	#64949	C₂²	1	1	yes	characteristic, complemented
171	#64949	C₂²	1	1	yes	characteristic, complemented
172	#64949	C₂²	1	1	yes	characteristic, complemented
173	#64948	C₂²	1	1	yes	characteristic, complemented
174	#64947	C₂²	1	1	yes	characteristic, complemented
175	#64947	C₂²	1	1	yes	characteristic, complemented
176	#64947	C₂²	1	1	yes	characteristic, complemented
177	#64944	C₂²	1	1	yes	characteristic, complemented
178	#64943	C₂²	1	1	yes	characteristic, complemented
179	#64943	C₂²	1	1	yes	characteristic, complemented
180	#64942	C₂²	1	1	yes	characteristic, complemented
181	#64942	C₂²	1	1	yes	characteristic, complemented
182	#64942	C₂²	1	1	yes	characteristic, complemented
183	#64941	C₂²	1	1	yes	characteristic, complemented
184	#64940	C₂²	1	1	yes	characteristic, complemented
185	#64940	C₂²	1	1	yes	characteristic, complemented
186	#64940	C₂²	1	1	yes	characteristic, complemented
187	#34995	—	5	1	no	maximal, Sylow
188	C₂⁴×D₅	C₂³	1	1	yes	characteristic
189	C₂⁴×D₅	C₂³	1	1	yes	characteristic
190	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
192	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
193	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
194	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
195	C₂²×C₂²⋊D₅	C₂³	1	1	yes	characteristic
196	C₂³×Dic₅	C₂³	1	1	yes	characteristic
197	C₂³×Dic₅	C₂³	1	1	yes	characteristic
198	C₂³×Dic₅	C₂³	1	1	yes	characteristic
199	C₂×D₄×D₅	—	2	4	no	—
200	C₂×D₄×D₅	—	2	4	no	—
201	C₂×D₄×D₅	—	2	4	no	—
202	C₂²×D₂₀	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₅	—	2	4	no	—
204	C₂²×C₄×D₅	—	4	2	no	—
205	C₂²×C₄×D₅	—	4	2	no	—
206	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
213	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
214	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
215	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
216	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
217	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
231	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
241	C₂×#685	—	2	4	no	—
242	C₂×#685	—	2	4	no	—
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	C₂×#685	C₂³	1	1	yes	characteristic
253	C₂×#685	C₂³	1	1	yes	characteristic
254	C₂×#685	C₂³	1	1	yes	characteristic
255	C₂×#685	C₂³	1	1	yes	characteristic
256	C₂×#685	C₂³	1	1	yes	characteristic
257	C₂×#685	C₂³	1	1	yes	characteristic
258	C₂×#685	C₂³	1	1	yes	characteristic
259	C₂×#685	C₂³	1	1	yes	characteristic
260	C₂×#685	C₂³	1	1	yes	characteristic
261	C₂×#685	C₂³	1	1	yes	characteristic
262	C₂×#685	C₂³	1	1	yes	characteristic
263	C₂×#685	C₂³	1	1	yes	characteristic
264	C₂×#685	C₂³	1	1	yes	characteristic
265	C₂×#685	C₂³	1	1	yes	characteristic
266	C₂×#685	C₂³	1	1	yes	characteristic
267	C₂×#685	C₂³	1	1	yes	characteristic
268	C₂×#685	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊Dic₅	—	4	2	no	—
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×#683	—	4	2	no	—
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×#683	C₂³	1	1	yes	characteristic
285	C₂×#683	C₂³	1	1	yes	characteristic
286	C₂×#683	C₂³	1	1	yes	characteristic
287	C₂×#683	C₂³	1	1	yes	characteristic
288	C₂×#683	C₂³	1	1	yes	characteristic
289	C₂×#683	C₂³	1	1	yes	characteristic
290	C₂×#683	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	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
297	#4044	—	4	2	no	—
298	D₅×C₂²⋊C₄	—	2	4	no	—
299	D₅×C₂²⋊C₄	—	2	4	no	—
300	D₅×C₂²⋊C₄	—	2	4	no	—
301	D₅×C₂²⋊C₄	—	4	2	no	—
302	D₅×C₂²⋊C₄	—	4	2	no	—
303	#4025	—	4	2	no	—
304	#4025	—	4	2	no	—
305	#4022	—	4	2	no	—
306	C₄²×D₅	—	4	2	no	—
307	C₄²×D₅	—	4	2	no	—
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	C₅×#95	C₂³	1	1	yes	characteristic
315	C₅×#95	C₂³	1	1	yes	characteristic
316	C₅×#95	C₂³	1	1	yes	characteristic
317	C₅×#95	C₂³	1	1	yes	characteristic
318	C₅×#95	C₂³	1	1	yes	characteristic
319	C₅×#95	C₂³	1	1	yes	characteristic
320	C₅×#95	C₂³	1	1	yes	characteristic
321	C₅×#95	C₂³	1	1	yes	characteristic
322	C₅×#95	C₂³	1	1	yes	characteristic
323	C₅×#95	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	#3963	C₂³	1	1	yes	characteristic
357	#3963	C₂³	1	1	yes	characteristic
358	#3963	C₂³	1	1	yes	characteristic
359	#3963	C₂³	1	1	yes	characteristic
360	#3963	C₂³	1	1	yes	characteristic
361	#3963	C₂³	1	1	yes	characteristic
362	#3963	C₂³	1	1	yes	characteristic
363	#3963	C₂³	1	1	yes	characteristic
364	#2852	—	5	1	no	—
365	#2852	—	5	1	no	—
366	#2852	—	5	1	no	—
367	#2852	—	5	1	no	—
368	#2643	—	5	1	no	—
369	#2643	—	5	1	no	—
370	#2643	—	5	1	no	—
371	#2643	—	5	1	no	—
372	#2510	—	5	1	no	—
373	#2510	—	5	1	no	—
374	#2510	—	5	1	no	—
375	#2510	D₅	1	1	yes	characteristic, complemented
376	#2493	—	5	1	no	—
377	#2493	—	5	1	no	—
378	#2493	—	5	1	no	—
379	#2493	—	5	1	no	—
380	#2481	—	5	1	no	—
381	#2481	—	5	1	no	—
382	#2481	—	5	1	no	—
383	#2481	—	5	1	no	—
384	#2480	—	5	1	no	—
385	#2480	—	5	1	no	—
386	#2480	—	5	1	no	—
387	#2480	—	5	1	no	—
388	#2315	—	5	1	no	—
389	#2315	—	5	1	no	—
390	#2308	—	5	1	no	—
391	#2308	—	5	1	no	—
392	C₂×#386	—	5	1	no	—
393	C₂×#385	—	5	1	no	—
394	C₂×C₄×C₂²⋊C₄	—	5	1	no	—
395	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
396	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
397	C₂³×D₅	—	2	2	no	—
398	C₂³×D₅	—	2	2	no	—
399	C₂³×D₅	—	2	2	no	—
400	C₂³×D₅	—	4	1	no	—
401	C₂³×D₅	—	4	1	no	—
402	C₂³×D₅	—	4	1	no	—
403	C₂³×D₅	—	4	1	no	—
404	C₂³×D₅	—	4	1	no	—
405	C₂³×D₅	—	4	1	no	—
406	C₂³×D₅	—	4	1	no	—
407	C₂³×D₅	—	4	1	no	—
408	C₂³×D₅	#41	1	4	yes	—
409	C₂³×D₅	#41	1	4	yes	—
410	C₂³×D₅	#41	1	4	yes	—
411	C₂³×D₅	C₂⁴	1	1	yes	characteristic
412	C₂³×D₅	C₂⁴	1	1	yes	characteristic
413	C₂³×D₅	C₂⁴	1	1	yes	characteristic
414	C₂×C₅×D₄	—	2	2	no	—
415	C₂×C₅×D₄	—	2	2	no	—
416	C₂×C₅×D₄	—	2	2	no	—
417	C₂²×C₄×C₅	—	2	2	no	—
418	C₂²×C₄×C₅	—	2	2	no	—
419	C₂²×C₄×C₅	—	2	2	no	—
420	C₂²×C₄×C₅	—	2	2	no	—
421	C₂²×C₄×C₅	—	4	1	no	—
422	C₂²×C₄×C₅	—	4	1	no	—
423	C₂²×C₄×C₅	—	4	1	no	—
424	C₂²×C₄×C₅	—	4	1	no	—
425	C₂²×C₄×C₅	—	4	1	no	—
426	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
431	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
434	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
435	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
436	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
437	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
438	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
439	C₂×C₂²⋊D₅	—	2	2	no	—
440	C₂×C₂²⋊D₅	—	2	2	no	—
441	C₂×C₂²⋊D₅	—	2	2	no	—
442	C₂×C₂²⋊D₅	—	2	2	no	—
443	C₂×C₂²⋊D₅	—	2	2	no	—
444	C₂×C₂²⋊D₅	—	2	2	no	—
445	C₂²×Dic₅	—	2	2	no	—
446	C₂²×Dic₅	—	2	2	no	—
447	C₂²×Dic₅	—	2	2	no	—
448	C₂²×Dic₅	—	2	2	no	—
449	C₂²×Dic₅	—	4	1	no	—
450	C₂²×Dic₅	—	4	1	no	—
451	C₂²×Dic₅	—	4	1	no	—
452	C₂²×Dic₅	—	4	1	no	—
453	C₂²×Dic₅	—	4	1	no	—
454	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
455	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
456	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
457	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
458	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
459	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
460	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
461	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
462	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
463	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
464	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
465	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
466	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
467	D₄×D₅	—	4	16	no	—
468	C₂×D₂₀	—	2	2	no	—
469	C₂×D₂₀	—	2	2	no	—
470	C₂×D₂₀	—	2	2	no	—
471	C₂×C₄×D₅	—	2	2	no	—
472	C₂×C₄×D₅	—	2	2	no	—
473	C₂×C₄×D₅	—	2	2	no	—
474	C₂×C₄×D₅	—	2	2	no	—
475	C₂×C₄×D₅	—	2	2	no	—
476	C₂×C₄×D₅	—	2	2	no	—
477	C₂×C₄×D₅	—	2	2	no	—
478	C₂×C₄×D₅	—	2	2	no	—
479	C₂×C₄×D₅	—	2	2	no	—
480	C₂×C₄×D₅	—	2	2	no	—
481	C₂×C₄×D₅	—	2	2	no	—
482	C₂×C₄×D₅	—	2	2	no	—
483	C₂×C₄×D₅	—	2	2	no	—
484	C₂×C₄×D₅	—	2	2	no	—
485	C₂×C₄×D₅	—	2	2	no	—
486	C₂×C₄×D₅	—	2	2	no	—
487	C₂×C₄×D₅	—	2	2	no	—
488	C₂×C₄×D₅	—	4	16	no	—
489	C₂×C₄×D₅	—	4	1	no	—
490	C₂×C₄×D₅	—	4	1	no	—
491	C₂×C₄×D₅	—	4	1	no	—
492	C₂×C₄×D₅	—	4	1	no	—
493	C₂×C₄×D₅	—	4	1	no	—
494	C₂×C₄×D₅	—	4	1	no	—
495	C₂×C₄×D₅	—	4	1	no	—
496	C₂×C₄×D₅	—	4	1	no	—
497	C₂×C₄×D₅	—	4	1	no	—
498	C₂×C₄×D₅	—	4	1	no	—
499	C₂×C₄×D₅	—	4	1	no	—
500	C₂×C₄×D₅	—	4	1	no	—
501	C₂×C₄×D₅	—	4	1	no	—
502	C₂×C₄×D₅	—	4	1	no	—
503	C₂×C₄×D₅	—	4	1	no	—
504	C₂×C₄×D₅	—	4	1	no	—
505	C₅×C₄⋊C₄	—	4	1	no	—
506	C₅×C₄⋊C₄	—	4	1	no	—
507	C₅×C₄⋊C₄	—	4	1	no	—
508	C₅×C₄⋊C₄	—	4	1	no	—
509	C₅×C₂²⋊C₄	—	2	2	no	—
510	C₅×C₂²⋊C₄	—	2	2	no	—
511	C₅×C₂²⋊C₄	—	2	2	no	—
512	C₅×C₂²⋊C₄	—	2	2	no	—
513	C₅×C₂²⋊C₄	—	4	1	no	—
514	C₅×C₂²⋊C₄	—	4	1	no	—
515	C₅×C₂²⋊C₄	—	4	1	no	—
516	C₅×C₂²⋊C₄	—	4	1	no	—
517	C₅×C₂²⋊C₄	—	4	1	no	—
518	C₄²×C₅	—	2	2	no	—
519	C₄²×C₅	—	4	1	no	—
520	C₂²⋊Dic₅	—	2	2	no	—
521	C₂²⋊Dic₅	—	2	2	no	—
522	C₂²⋊Dic₅	—	2	2	no	—
523	C₂²⋊Dic₅	—	2	2	no	—
524	C₂²⋊Dic₅	—	4	1	no	—
525	C₂²⋊Dic₅	—	4	1	no	—
526	C₂²⋊Dic₅	—	4	1	no	—
527	C₂²⋊Dic₅	—	4	1	no	—
528	C₂²⋊Dic₅	—	4	1	no	—
529	#685	—	2	2	no	—
530	#685	—	2	2	no	—
531	#685	—	2	2	no	—
532	#685	—	2	2	no	—
533	#685	—	2	2	no	—
534	#685	—	2	2	no	—
535	#685	—	2	2	no	—
536	#685	—	2	2	no	—
537	#685	—	2	2	no	—
538	#685	—	2	2	no	—
539	#685	—	2	2	no	—
540	#685	—	2	2	no	—
541	#685	—	2	2	no	—
542	#685	—	2	2	no	—
543	#685	—	2	2	no	—
544	#685	—	2	2	no	—
545	#685	—	4	1	no	—
546	#685	—	4	1	no	—
547	#685	—	4	1	no	—
548	#685	—	4	1	no	—
549	#685	—	4	1	no	—
550	#685	—	4	1	no	—
551	#685	—	4	1	no	—
552	#685	—	4	1	no	—
553	#685	—	4	1	no	—
554	#685	—	4	1	no	—
555	C₄⋊Dic₅	—	2	2	no	—
556	C₄⋊Dic₅	—	2	2	no	—
557	C₄⋊Dic₅	—	4	1	no	—
558	C₄⋊Dic₅	—	4	1	no	—
559	C₄⋊Dic₅	—	4	1	no	—
560	C₄⋊Dic₅	—	4	1	no	—
561	C₄⋊Dic₅	—	4	1	no	—
562	C₄⋊Dic₅	—	4	1	no	—
563	#683	—	2	2	no	—
564	#683	—	2	2	no	—
565	#683	—	4	1	no	—
566	#683	—	4	1	no	—
567	#683	—	4	1	no	—
568	#683	—	4	1	no	—
569	#683	—	4	1	no	—
570	#683	—	4	1	no	—
571	#683	—	4	1	no	—
572	#683	—	4	1	no	—
573	#683	—	4	1	no	—
574	#683	—	4	1	no	—
575	C₄×Dic₅	—	2	2	no	—
576	C₄×Dic₅	—	2	2	no	—
577	C₄×Dic₅	—	2	2	no	—
578	C₄×Dic₅	—	4	1	no	—
579	C₄×Dic₅	—	4	1	no	—
580	C₄×Dic₅	—	4	1	no	—
581	C₂³×D₄	—	5	1	no	—
582	C₂⁴×C₄	—	5	1	no	—
583	C₂×#126	—	5	1	no	—
584	C₂×#126	—	5	1	no	—
585	C₂×#126	—	5	1	no	—
586	C₂×#126	—	5	1	no	—
587	C₂²×C₄⋊C₄	—	5	1	no	—
588	C₂²×C₄⋊C₄	—	5	1	no	—
589	C₂²×C₂²⋊C₄	—	5	1	no	—
590	C₂²×C₂²⋊C₄	—	5	1	no	—
591	C₂²×C₂²⋊C₄	—	5	1	no	—
592	C₂²×C₂²⋊C₄	—	5	1	no	—
593	C₂²×C₂²⋊C₄	—	5	1	no	—
594	C₂²×C₂²⋊C₄	—	5	1	no	—
595	C₂²×C₂²⋊C₄	—	5	1	no	—
596	C₂²×C₄²	—	5	1	no	—
597	C₂²×C₄²	—	5	1	no	—
598	#401	—	5	1	no	—
599	#401	—	5	1	no	—
600	#401	—	5	1	no	—
601	#401	C₂×D₅	1	1	yes	characteristic, complemented
602	#400	—	5	1	no	—
603	#400	—	5	1	no	—
604	#400	—	5	1	no	—
605	#400	—	5	1	no	—
606	#400	—	5	1	no	—
607	#400	—	5	1	no	—
608	#400	—	5	1	no	—
609	#400	—	5	1	no	—
610	#400	—	5	1	no	—
611	#400	—	5	1	no	—
612	#400	—	5	1	no	—
613	#400	C₂×D₅	1	1	yes	characteristic, complemented
614	#397	—	5	1	no	—
615	#397	—	5	1	no	—
616	#397	—	5	1	no	—
617	#397	—	5	1	no	—
618	#397	—	5	1	no	—
619	#397	—	5	1	no	—
620	#397	—	5	1	no	—
621	#397	—	5	1	no	—
622	#397	—	5	1	no	—
623	#397	—	5	1	no	—
624	#397	C₂×D₅	1	1	yes	characteristic, complemented
625	#397	C₂×D₅	1	1	yes	characteristic, complemented
626	#396	—	5	1	no	—
627	#396	—	5	1	no	—
628	#396	—	5	1	no	—
629	#396	—	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	—	5	1	no	—
635	#388	—	5	1	no	—
636	#388	—	5	1	no	—
637	#388	—	5	1	no	—
638	#388	—	5	1	no	—
639	#388	—	5	1	no	—
640	#388	C₂×D₅	1	1	yes	characteristic, complemented
641	#388	C₂×D₅	1	1	yes	characteristic, complemented
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	C₂×D₅	1	1	yes	characteristic, complemented
654	#386	—	5	1	no	—
655	#386	—	5	1	no	—
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	—	5	1	no	—
665	#386	—	5	1	no	—
666	#386	—	5	1	no	—
667	#386	—	5	1	no	—
668	#386	—	5	1	no	—
669	#386	—	5	1	no	—
670	#386	—	5	1	no	—
671	#386	—	5	1	no	—
672	#386	—	5	1	no	—
673	#386	—	5	1	no	—
674	#386	—	5	1	no	—
675	#386	C₂×D₅	1	1	yes	characteristic
676	#386	C₂×D₅	1	1	yes	characteristic
677	#386	C₂×D₅	1	1	yes	characteristic
678	#385	—	5	1	no	—
679	#385	—	5	1	no	—
680	#385	—	5	1	no	—
681	#385	—	5	1	no	—
682	#385	—	5	1	no	—
683	#385	—	5	1	no	—
684	#385	—	5	1	no	—
685	#385	—	5	1	no	—
686	#385	—	5	1	no	—
687	#385	—	5	1	no	—
688	#385	—	5	1	no	—
689	#385	—	5	1	no	—
690	#385	—	5	1	no	—
691	#385	—	5	1	no	—
692	#385	—	5	1	no	—
693	#385	—	5	1	no	—
694	#385	—	5	1	no	—
695	#385	—	5	1	no	—
696	#385	—	5	1	no	—
697	#385	—	5	1	no	—
698	#385	—	5	1	no	—
699	#385	—	5	1	no	—
700	#385	—	5	1	no	—
701	#385	C₂×D₅	1	1	yes	characteristic, complemented
702	#383	—	5	1	no	—
703	#383	—	5	1	no	—
704	#383	—	5	1	no	—
705	#383	C₂×D₅	1	1	yes	characteristic, complemented
706	#381	—	5	1	no	—
707	#381	—	5	1	no	—
708	#381	—	5	1	no	—
709	#381	—	5	1	no	—
710	#380	—	5	1	no	—
711	#380	—	5	1	no	—
712	#380	—	5	1	no	—
713	#380	—	5	1	no	—
714	#380	—	5	1	no	—
715	#380	—	5	1	no	—
716	#380	—	5	1	no	—
717	#380	C₂×D₅	1	1	yes	characteristic, complemented
718	#379	—	5	1	no	—
719	#379	—	5	1	no	—
720	#379	—	5	1	no	—
721	#379	—	5	1	no	—
722	C₄×C₂²⋊C₄	—	5	1	no	—
723	C₄×C₂²⋊C₄	—	5	1	no	—
724	C₄×C₂²⋊C₄	—	5	1	no	—
725	C₄×C₂²⋊C₄	—	5	1	no	—
726	C₄×C₂²⋊C₄	—	5	1	no	—
727	C₄×C₂²⋊C₄	—	5	1	no	—
728	C₄×C₂²⋊C₄	—	5	1	no	—
729	C₄×C₂²⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
730	C₂×#95	—	5	1	no	—
731	C₂×#95	—	5	1	no	—
732	C₂×#95	—	5	1	no	—
733	C₂×#95	—	5	1	no	—
734	C₂×#95	—	5	1	no	—
735	C₂×#95	C₂×D₅	1	1	yes	characteristic, complemented
736	C₂³×C₅	—	2	1	no	—
737	C₂³×C₅	—	2	1	no	—
738	C₂³×C₅	—	2	1	no	—
739	C₂³×C₅	—	2	1	no	—
740	C₂³×C₅	—	2	1	no	—
741	C₂³×C₅	—	2	1	no	—
742	C₂³×C₅	—	2	1	no	—
743	C₂³×C₅	—	2	1	no	—
744	C₂³×C₅	—	2	1	no	—
745	C₂³×C₅	—	2	1	no	—
746	C₂³×C₅	—	2	1	no	—
747	C₂³×C₅	C₂×#41	1	2	yes	—
748	C₂³×C₅	C₂×#41	1	2	yes	—
749	C₂³×C₅	C₂×#41	1	2	yes	—
750	C₂³×C₅	C₂⁵	1	1	yes	characteristic
751	C₂²×D₅	—	2	1	no	—
752	C₂²×D₅	—	2	1	no	—
753	C₂²×D₅	—	2	1	no	—
754	C₂²×D₅	—	2	1	no	—
755	C₂²×D₅	—	2	1	no	—
756	C₂²×D₅	—	2	1	no	—
757	C₂²×D₅	—	2	1	no	—
758	C₂²×D₅	—	2	1	no	—
759	C₂²×D₅	—	2	1	no	—
760	C₂²×D₅	—	2	1	no	—
761	C₂²×D₅	—	2	1	no	—
762	C₂²×D₅	—	2	1	no	—
763	C₂²×D₅	—	2	1	no	—
764	C₂²×D₅	—	2	1	no	—
765	C₂²×D₅	—	2	1	no	—
766	C₂²×D₅	—	4	4	no	—
767	C₂²×D₅	—	4	4	no	—
768	C₂²×D₅	—	4	4	no	—
769	C₂²×D₅	—	4	4	no	—
770	C₂²×D₅	—	4	4	no	—
771	C₂²×D₅	—	4	4	no	—
772	C₂²×D₅	—	4	4	no	—
773	C₂²×D₅	—	4	4	no	—
774	C₂²×D₅	—	4	4	no	—
775	C₂²×D₅	—	8	2	no	—
776	C₂²×D₅	—	8	2	no	—
777	C₂²×D₅	—	8	2	no	—
778	C₂²×D₅	—	8	2	no	—
779	C₂²×D₅	#126	1	16	yes	complemented
780	C₂²×D₅	C₂×#41	1	2	yes	—
781	C₂²×D₅	C₂×#41	1	2	yes	—
782	C₂²×D₅	C₂×#41	1	2	yes	—
783	C₂²×D₅	C₂×#41	1	2	yes	—
784	C₂²×D₅	C₂×#41	1	2	yes	—
785	C₂²×D₅	C₂×#41	1	2	yes	—
786	C₅×D₄	—	4	4	no	—
787	C₂×C₄×C₅	—	2	1	no	—
788	C₂×C₄×C₅	—	2	1	no	—
789	C₂×C₄×C₅	—	2	1	no	—
790	C₂×C₄×C₅	—	2	1	no	—
791	C₂×C₄×C₅	—	2	1	no	—
792	C₂×C₄×C₅	—	2	1	no	—
793	C₂×C₄×C₅	—	2	1	no	—
794	C₂×C₄×C₅	—	2	1	no	—
795	C₂×C₄×C₅	—	2	1	no	—
796	C₂×C₄×C₅	—	2	1	no	—
797	C₂×C₄×C₅	—	2	1	no	—
798	C₂×C₄×C₅	—	2	1	no	—
799	C₂×C₄×C₅	—	2	1	no	—
800	C₂×C₄×C₅	—	2	1	no	—
801	C₂×C₄×C₅	—	2	1	no	—
802	C₂×C₄×C₅	—	2	1	no	—
803	C₂×C₄×C₅	—	2	1	no	—
804	C₂×C₄×C₅	—	2	1	no	—
805	C₂×C₄×C₅	—	2	1	no	—
806	C₂×C₄×C₅	—	2	1	no	—
807	C₂×C₄×C₅	—	2	1	no	—
808	C₂×C₄×C₅	—	2	1	no	—
809	C₂×C₄×C₅	—	2	1	no	—
810	C₂×C₄×C₅	—	2	1	no	—
811	C₂×C₄×C₅	—	2	1	no	—
812	C₂×C₄×C₅	—	2	1	no	—
813	C₂×C₄×C₅	—	2	1	no	—
814	C₂×C₄×C₅	—	2	1	no	—
815	C₂×C₄×C₅	—	2	1	no	—
816	C₂×C₄×C₅	—	2	1	no	—
817	C₂×C₄×C₅	—	2	1	no	—
818	C₂×C₄×C₅	—	2	1	no	—
819	C₂×C₄×C₅	—	2	1	no	—
820	C₂×C₄×C₅	—	2	1	no	—
821	C₂×C₄×C₅	—	2	1	no	—
822	C₂×C₄×C₅	—	2	1	no	—
823	C₂×C₄×C₅	—	2	1	no	—
824	C₂×C₄×C₅	—	2	1	no	—
825	C₂×C₄×C₅	—	4	4	no	—
826	C₂×C₄×C₅	—	4	4	no	—
827	C₂×C₄×C₅	—	8	2	no	—
828	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
829	C₂²⋊D₅	—	4	4	no	—
830	C₂²⋊D₅	—	4	4	no	—
831	C₂×Dic₅	—	2	1	no	—
832	C₂×Dic₅	—	2	1	no	—
833	C₂×Dic₅	—	2	1	no	—
834	C₂×Dic₅	—	2	1	no	—
835	C₂×Dic₅	—	2	1	no	—
836	C₂×Dic₅	—	2	1	no	—
837	C₂×Dic₅	—	2	1	no	—
838	C₂×Dic₅	—	2	1	no	—
839	C₂×Dic₅	—	2	1	no	—
840	C₂×Dic₅	—	2	1	no	—
841	C₂×Dic₅	—	2	1	no	—
842	C₂×Dic₅	—	2	1	no	—
843	C₂×Dic₅	—	2	1	no	—
844	C₂×Dic₅	—	2	1	no	—
845	C₂×Dic₅	—	2	1	no	—
846	C₂×Dic₅	—	2	1	no	—
847	C₂×Dic₅	—	2	1	no	—
848	C₂×Dic₅	—	2	1	no	—
849	C₂×Dic₅	—	2	1	no	—
850	C₂×Dic₅	—	2	1	no	—
851	C₂×Dic₅	—	2	1	no	—
852	C₂×Dic₅	—	2	1	no	—
853	C₂×Dic₅	—	2	1	no	—
854	C₂×Dic₅	—	2	1	no	—
855	C₂×Dic₅	—	2	1	no	—
856	C₂×Dic₅	—	2	1	no	—
857	C₂×Dic₅	—	2	1	no	—
858	C₂×Dic₅	—	2	1	no	—
859	C₂×Dic₅	—	2	1	no	—
860	C₂×Dic₅	—	2	1	no	—
861	C₂×Dic₅	—	2	1	no	—
862	C₂×Dic₅	—	2	1	no	—
863	C₂×Dic₅	—	2	1	no	—
864	C₂×Dic₅	—	2	1	no	—
865	C₂×Dic₅	—	2	1	no	—
866	C₂×Dic₅	—	2	1	no	—
867	C₂×Dic₅	—	2	1	no	—
868	C₂×Dic₅	—	2	1	no	—
869	C₂×Dic₅	—	4	4	no	—
870	C₂×Dic₅	—	4	4	no	—
871	C₂×Dic₅	—	8	2	no	—
872	C₂×Dic₅	H(5,𝔽₂)	1	2	yes	—
873	D₂₀	—	4	4	no	—
874	C₄×D₅	—	2	8	no	—
875	C₄×D₅	—	4	4	no	—
876	C₄×D₅	—	4	4	no	—
877	C₄×D₅	—	4	4	no	—
878	C₄×D₅	—	4	4	no	—
879	C₄×D₅	—	4	4	no	—
880	C₄×D₅	—	4	4	no	—
881	C₄×D₅	—	4	4	no	—
882	C₄×D₅	—	4	4	no	—
883	C₄×D₅	—	8	2	no	—
884	C₄×D₅	—	8	2	no	—
885	C₂⁵	—	5	1	no	—
886	C₂⁵	—	5	1	no	—
887	C₂²×D₄	—	5	1	no	—
888	C₂²×D₄	—	5	1	no	—
889	C₂²×D₄	—	5	1	no	—
890	C₂²×D₄	—	10	4	no	—
891	C₂²×D₄	—	10	4	no	—
892	C₂²×D₄	—	10	4	no	—
893	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
894	C₂³×C₄	—	5	1	no	—
895	C₂³×C₄	—	5	1	no	—
896	C₂³×C₄	—	5	1	no	—
897	C₂³×C₄	—	5	1	no	—
898	C₂³×C₄	—	5	1	no	—
899	C₂³×C₄	—	5	1	no	—
900	C₂³×C₄	—	5	1	no	—
901	C₂³×C₄	—	5	1	no	—
902	C₂³×C₄	—	5	1	no	—
903	C₂³×C₄	—	5	1	no	—
904	C₂³×C₄	—	5	1	no	—
905	C₂³×C₄	—	5	1	no	—
906	C₂³×C₄	—	5	1	no	—
907	C₂³×C₄	—	5	1	no	—
908	C₂³×C₄	—	10	4	no	—
909	C₂³×C₄	—	20	2	no	—
910	C₂³×C₄	—	20	2	no	—
911	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
912	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
913	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
914	#126	—	20	2	no	—
915	#126	—	20	2	no	—
916	#126	—	20	2	no	—
917	#126	—	20	2	no	—
918	C₂×C₄⋊C₄	—	5	1	no	—
919	C₂×C₄⋊C₄	—	5	1	no	—
920	C₂×C₄⋊C₄	—	5	1	no	—
921	C₂×C₄⋊C₄	—	5	1	no	—
922	C₂×C₄⋊C₄	—	5	1	no	—
923	C₂×C₄⋊C₄	—	5	1	no	—
924	C₂×C₄⋊C₄	—	5	1	no	—
925	C₂×C₄⋊C₄	—	5	1	no	—
926	C₂×C₄⋊C₄	—	5	1	no	—
927	C₂×C₄⋊C₄	—	5	1	no	—
928	C₂×C₄⋊C₄	—	5	1	no	—
929	C₂×C₄⋊C₄	—	5	1	no	—
930	C₂×C₄⋊C₄	—	5	1	no	—
931	C₂×C₄⋊C₄	—	5	1	no	—
932	C₂×C₄⋊C₄	—	5	1	no	—
933	C₂×C₄⋊C₄	—	5	1	no	—
934	C₂×C₄⋊C₄	—	5	1	no	—
935	C₂×C₄⋊C₄	—	5	1	no	—
936	C₂×C₄⋊C₄	—	5	1	no	—
937	C₂×C₄⋊C₄	—	5	1	no	—
938	C₂×C₄⋊C₄	—	20	2	no	—
939	C₂×C₄⋊C₄	—	20	2	no	—
940	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
941	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
942	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
943	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
944	C₂×C₂²⋊C₄	—	5	1	no	—
945	C₂×C₂²⋊C₄	—	5	1	no	—
946	C₂×C₂²⋊C₄	—	5	1	no	—
947	C₂×C₂²⋊C₄	—	5	1	no	—
948	C₂×C₂²⋊C₄	—	5	1	no	—
949	C₂×C₂²⋊C₄	—	5	1	no	—
950	C₂×C₂²⋊C₄	—	5	1	no	—
951	C₂×C₂²⋊C₄	—	5	1	no	—
952	C₂×C₂²⋊C₄	—	5	1	no	—
953	C₂×C₂²⋊C₄	—	5	1	no	—
954	C₂×C₂²⋊C₄	—	5	1	no	—
955	C₂×C₂²⋊C₄	—	5	1	no	—
956	C₂×C₂²⋊C₄	—	5	1	no	—
957	C₂×C₂²⋊C₄	—	5	1	no	—
958	C₂×C₂²⋊C₄	—	5	1	no	—
959	C₂×C₂²⋊C₄	—	5	1	no	—
960	C₂×C₂²⋊C₄	—	5	1	no	—
961	C₂×C₂²⋊C₄	—	5	1	no	—
962	C₂×C₂²⋊C₄	—	5	1	no	—
963	C₂×C₂²⋊C₄	—	5	1	no	—
964	C₂×C₂²⋊C₄	—	5	1	no	—
965	C₂×C₂²⋊C₄	—	5	1	no	—
966	C₂×C₂²⋊C₄	—	5	1	no	—
967	C₂×C₂²⋊C₄	—	5	1	no	—
968	C₂×C₂²⋊C₄	—	5	1	no	—
969	C₂×C₂²⋊C₄	—	5	1	no	—
970	C₂×C₂²⋊C₄	—	5	1	no	—
971	C₂×C₂²⋊C₄	—	5	1	no	—
972	C₂×C₂²⋊C₄	—	5	1	no	—
973	C₂×C₂²⋊C₄	—	5	1	no	—
974	C₂×C₂²⋊C₄	—	5	1	no	—
975	C₂×C₂²⋊C₄	—	5	1	no	—
976	C₂×C₂²⋊C₄	—	5	1	no	—
977	C₂×C₂²⋊C₄	—	5	1	no	—
978	C₂×C₂²⋊C₄	—	5	1	no	—
979	C₂×C₂²⋊C₄	—	10	4	no	—
980	C₂×C₂²⋊C₄	—	10	4	no	—
981	C₂×C₂²⋊C₄	—	10	4	no	—
982	C₂×C₂²⋊C₄	—	10	4	no	—
983	C₂×C₂²⋊C₄	—	10	4	no	—
984	C₂×C₂²⋊C₄	—	20	2	no	—
985	C₂×C₂²⋊C₄	—	20	2	no	—
986	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
987	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
988	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
989	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
990	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
991	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
992	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
993	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
994	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
995	C₂×C₄²	—	5	1	no	—
996	C₂×C₄²	—	5	1	no	—
997	C₂×C₄²	—	5	1	no	—
998	C₂×C₄²	—	5	1	no	—
999	C₂×C₄²	—	5	1	no	—
1000	C₂×C₄²	—	5	1	no	—
1001	C₂×C₄²	—	20	2	no	—
1002	C₂×C₄²	—	20	2	no	—
1003	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1004	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1005	#95	—	5	1	no	—
1006	#95	—	5	1	no	—
1007	#95	—	5	1	no	—
1008	#95	—	5	1	no	—
1009	#95	—	5	1	no	—
1010	#95	—	5	1	no	—
1011	#95	—	5	1	no	—
1012	#95	—	5	1	no	—
1013	#95	—	5	1	no	—
1014	#95	—	5	1	no	—
1015	#95	—	5	1	no	—
1016	#95	—	5	1	no	—
1017	#95	—	5	1	no	—
1018	#95	—	5	1	no	—
1019	#95	—	5	1	no	—
1020	#95	—	5	1	no	—
1021	#95	—	5	1	no	—
1022	#95	—	5	1	no	—
1023	#95	—	5	1	no	—
1024	#95	—	5	1	no	—
1025	#95	—	5	1	no	—
1026	#95	—	5	1	no	—
1027	#95	—	5	1	no	—
1028	#95	—	5	1	no	—
1029	#95	—	5	1	no	—
1030	#95	—	5	1	no	—
1031	#95	—	5	1	no	—
1032	#95	—	5	1	no	—
1033	#95	—	5	1	no	—
1034	#95	—	5	1	no	—
1035	#95	—	5	1	no	—
1036	#95	—	5	1	no	—
1037	#95	—	5	1	no	—
1038	#95	—	5	1	no	—
1039	#95	—	5	1	no	—
1040	#95	—	5	1	no	—
1041	#95	—	5	1	no	—
1042	#95	—	5	1	no	—
1043	#95	—	5	1	no	—
1044	#95	—	5	1	no	—
1045	#95	C₂²×D₅	1	1	yes	characteristic
1046	#95	C₂²×D₅	1	1	yes	characteristic
1047	#95	C₂²×D₅	1	1	yes	characteristic
1048	#95	C₂²×D₅	1	1	yes	characteristic
1049	#95	C₂²×D₅	1	1	yes	characteristic
1050	#95	C₂²×D₅	1	1	yes	characteristic
1051	#95	C₂²×D₅	1	1	yes	characteristic
1052	#95	C₂²×D₅	1	1	yes	characteristic
1053	#95	C₂²×D₅	1	1	yes	characteristic
1054	#95	C₂²×D₅	1	1	yes	characteristic
1055	#95	C₂²×D₅	1	1	yes	characteristic
1056	#95	C₂²×D₅	1	1	yes	characteristic
1057	#95	C₂²×D₅	1	1	yes	characteristic
1058	#95	C₂²×D₅	1	1	yes	characteristic
1059	#95	C₂²×D₅	1	1	yes	characteristic
1060	#95	C₂²×D₅	1	1	yes	characteristic
1061	C₂²×C₅	—	2	2	no	—
1062	C₂²×C₅	—	2	2	no	—
1063	C₂²×C₅	—	2	2	no	—
1064	C₂²×C₅	—	2	2	no	—
1065	C₂²×C₅	—	2	2	no	—
1066	C₂²×C₅	—	2	2	no	—
1067	C₂²×C₅	—	4	1	no	—
1068	C₂²×C₅	—	4	1	no	—
1069	C₂²×C₅	—	4	1	no	—
1070	C₂²×C₅	—	4	1	no	—
1071	C₂²×C₅	—	4	1	no	—
1072	C₂²×C₅	—	4	1	no	—
1073	C₂²×C₅	—	4	1	no	—
1074	C₂²×C₅	C₂×#126	1	4	yes	—
1075	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1076	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1077	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1078	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1079	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1080	C₂²×C₅	#585	1	1	yes	characteristic
1081	C₂²×C₅	#585	1	1	yes	characteristic
1082	C₂×D₅	—	2	2	no	—
1083	C₂×D₅	—	2	2	no	—
1084	C₂×D₅	—	2	2	no	—
1085	C₂×D₅	—	2	2	no	—
1086	C₂×D₅	—	2	2	no	—
1087	C₂×D₅	—	2	2	no	—
1088	C₂×D₅	—	2	2	no	—
1089	C₂×D₅	—	2	2	no	—
1090	C₂×D₅	—	2	2	no	—
1091	C₂×D₅	—	2	2	no	—
1092	C₂×D₅	—	2	2	no	—
1093	C₂×D₅	—	2	2	no	—
1094	C₂×D₅	—	4	16	no	—
1095	C₂×D₅	—	4	1	no	—
1096	C₂×D₅	—	4	1	no	—
1097	C₂×D₅	—	4	1	no	—
1098	C₂×D₅	—	4	1	no	—
1099	C₂×D₅	—	4	1	no	—
1100	C₂×D₅	—	4	1	no	—
1101	C₂×D₅	—	4	1	no	—
1102	C₂×D₅	—	8	8	no	—
1103	C₂×D₅	C₂×#126	1	4	yes	—
1104	C₂×D₅	C₂×#126	1	4	yes	—
1105	C₄×C₅	—	2	2	no	—
1106	C₄×C₅	—	4	1	no	—
1107	C₄×C₅	—	4	1	no	—
1108	C₄×C₅	—	4	1	no	—
1109	C₄×C₅	—	4	1	no	—
1110	C₄×C₅	—	4	1	no	—
1111	C₄×C₅	—	4	1	no	—
1112	C₄×C₅	—	4	1	no	—
1113	C₄×C₅	—	4	1	no	—
1114	C₄×C₅	—	4	1	no	—
1115	C₄×C₅	—	4	1	no	—
1116	C₄×C₅	—	4	1	no	—
1117	C₄×C₅	—	4	1	no	—
1118	Dic₅	—	2	2	no	—
1119	Dic₅	—	4	1	no	—
1120	Dic₅	—	4	1	no	—
1121	Dic₅	—	4	1	no	—
1122	Dic₅	—	4	1	no	—
1123	Dic₅	—	4	1	no	—
1124	Dic₅	—	4	1	no	—
1125	Dic₅	—	4	1	no	—
1126	Dic₅	—	4	1	no	—
1127	Dic₅	—	4	1	no	—
1128	Dic₅	—	4	1	no	—
1129	Dic₅	—	4	1	no	—
1130	Dic₅	—	4	1	no	—
1131	C₂⁴	—	5	1	no	—
1132	C₂⁴	—	5	1	no	—
1133	C₂⁴	—	5	4	no	—
1134	C₂⁴	—	5	4	no	—
1135	C₂⁴	—	5	4	no	—
1136	C₂⁴	—	5	1	no	—
1137	C₂⁴	—	10	2	no	—
1138	C₂⁴	—	10	2	no	—
1139	C₂⁴	—	10	2	no	—
1140	C₂⁴	—	20	1	no	—
1141	C₂⁴	—	20	1	no	—
1142	C₂⁴	—	20	1	no	—
1143	C₂⁴	—	20	1	no	—
1144	C₂⁴	—	20	1	no	—
1145	C₂⁴	—	20	1	no	—
1146	C₂⁴	—	20	1	no	—
1147	C₂⁴	—	20	1	no	—
1148	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1149	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1150	C₂×D₄	—	2	2	no	—
1151	C₂×D₄	—	2	2	no	—
1152	C₂×D₄	—	2	2	no	—
1153	C₂×D₄	—	10	2	no	—
1154	C₂×D₄	—	10	2	no	—
1155	C₂×D₄	—	10	2	no	—
1156	C₂×D₄	—	10	2	no	—
1157	C₂×D₄	—	10	2	no	—
1158	C₂×D₄	—	10	2	no	—
1159	C₂×D₄	—	10	2	no	—
1160	C₂×D₄	—	10	2	no	—
1161	C₂×D₄	—	10	2	no	—
1162	C₂×D₄	—	20	16	no	—
1163	C₂²×C₄	—	2	2	no	—
1164	C₂²×C₄	—	2	2	no	—
1165	C₂²×C₄	—	2	2	no	—
1166	C₂²×C₄	—	2	2	no	—
1167	C₂²×C₄	—	4	1	no	—
1168	C₂²×C₄	—	4	1	no	—
1169	C₂²×C₄	—	4	1	no	—
1170	C₂²×C₄	—	4	1	no	—
1171	C₂²×C₄	—	4	1	no	—
1172	C₂²×C₄	—	5	1	no	—
1173	C₂²×C₄	—	5	1	no	—
1174	C₂²×C₄	—	5	1	no	—
1175	C₂²×C₄	—	5	1	no	—
1176	C₂²×C₄	—	5	1	no	—
1177	C₂²×C₄	—	5	1	no	—
1178	C₂²×C₄	—	5	1	no	—
1179	C₂²×C₄	—	5	1	no	—
1180	C₂²×C₄	—	5	1	no	—
1181	C₂²×C₄	—	5	1	no	—
1182	C₂²×C₄	—	5	1	no	—
1183	C₂²×C₄	—	5	1	no	—
1184	C₂²×C₄	—	5	1	no	—
1185	C₂²×C₄	—	10	2	no	—
1186	C₂²×C₄	—	10	2	no	—
1187	C₂²×C₄	—	10	2	no	—
1188	C₂²×C₄	—	10	2	no	—
1189	C₂²×C₄	—	10	2	no	—
1190	C₂²×C₄	—	10	2	no	—
1191	C₂²×C₄	—	10	2	no	—
1192	C₂²×C₄	—	10	2	no	—
1193	C₂²×C₄	—	10	2	no	—
1194	C₂²×C₄	—	10	2	no	—
1195	C₂²×C₄	—	10	2	no	—
1196	C₂²×C₄	—	10	2	no	—
1197	C₂²×C₄	—	10	2	no	—
1198	C₂²×C₄	—	10	2	no	—
1199	C₂²×C₄	—	10	2	no	—
1200	C₂²×C₄	—	10	2	no	—
1201	C₂²×C₄	—	10	2	no	—
1202	C₂²×C₄	—	10	2	no	—
1203	C₂²×C₄	—	10	2	no	—
1204	C₂²×C₄	—	10	2	no	—
1205	C₂²×C₄	—	10	2	no	—
1206	C₂²×C₄	—	20	1	no	—
1207	C₂²×C₄	—	20	1	no	—
1208	C₂²×C₄	—	20	1	no	—
1209	C₂²×C₄	—	20	1	no	—
1210	C₂²×C₄	—	20	1	no	—
1211	C₂²×C₄	—	20	1	no	—
1212	C₂²×C₄	—	20	1	no	—
1213	C₂²×C₄	—	20	1	no	—
1214	C₂²×C₄	—	20	1	no	—
1215	C₂²×C₄	—	20	1	no	—
1216	C₂²×C₄	—	20	1	no	—
1217	C₂²×C₄	—	20	1	no	—
1218	C₂²×C₄	—	20	1	no	—
1219	C₂²×C₄	—	20	1	no	—
1220	C₂²×C₄	—	20	1	no	—
1221	C₂²×C₄	—	20	1	no	—
1222	C₂²×C₄	—	20	16	no	—
1223	C₂²×C₄	—	20	1	no	—
1224	C₂²×C₄	—	20	1	no	—
1225	C₂²×C₄	—	20	1	no	—
1226	C₂²×C₄	—	20	1	no	—
1227	C₂²×C₄	—	20	1	no	—
1228	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1229	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1230	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1231	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1232	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1233	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1234	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1235	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1236	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1237	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1238	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1239	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1240	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1241	C₄⋊C₄	—	4	1	no	—
1242	C₄⋊C₄	—	4	1	no	—
1243	C₄⋊C₄	—	4	1	no	—
1244	C₄⋊C₄	—	4	1	no	—
1245	C₄⋊C₄	—	10	2	no	—
1246	C₄⋊C₄	—	10	2	no	—
1247	C₄⋊C₄	—	10	2	no	—
1248	C₄⋊C₄	—	10	2	no	—
1249	C₄⋊C₄	—	20	1	no	—
1250	C₄⋊C₄	—	20	1	no	—
1251	C₄⋊C₄	—	20	1	no	—
1252	C₄⋊C₄	—	20	1	no	—
1253	C₄⋊C₄	—	20	1	no	—
1254	C₄⋊C₄	—	20	1	no	—
1255	C₄⋊C₄	—	20	1	no	—
1256	C₄⋊C₄	—	20	1	no	—
1257	C₄⋊C₄	—	20	1	no	—
1258	C₄⋊C₄	—	20	1	no	—
1259	C₄⋊C₄	—	20	1	no	—
1260	C₄⋊C₄	—	20	1	no	—
1261	C₄⋊C₄	—	20	1	no	—
1262	C₄⋊C₄	—	20	1	no	—
1263	C₄⋊C₄	—	20	1	no	—
1264	C₄⋊C₄	—	20	1	no	—
1265	C₂²⋊C₄	—	2	2	no	—
1266	C₂²⋊C₄	—	2	2	no	—
1267	C₂²⋊C₄	—	2	2	no	—
1268	C₂²⋊C₄	—	2	2	no	—
1269	C₂²⋊C₄	—	4	1	no	—
1270	C₂²⋊C₄	—	4	1	no	—
1271	C₂²⋊C₄	—	4	1	no	—
1272	C₂²⋊C₄	—	4	1	no	—
1273	C₂²⋊C₄	—	4	1	no	—
1274	C₂²⋊C₄	—	10	2	no	—
1275	C₂²⋊C₄	—	10	2	no	—
1276	C₂²⋊C₄	—	10	2	no	—
1277	C₂²⋊C₄	—	10	2	no	—
1278	C₂²⋊C₄	—	10	2	no	—
1279	C₂²⋊C₄	—	10	2	no	—
1280	C₂²⋊C₄	—	10	2	no	—
1281	C₂²⋊C₄	—	10	2	no	—
1282	C₂²⋊C₄	—	10	2	no	—
1283	C₂²⋊C₄	—	10	2	no	—
1284	C₂²⋊C₄	—	10	2	no	—
1285	C₂²⋊C₄	—	10	2	no	—
1286	C₂²⋊C₄	—	10	2	no	—
1287	C₂²⋊C₄	—	10	2	no	—
1288	C₂²⋊C₄	—	10	2	no	—
1289	C₂²⋊C₄	—	10	2	no	—
1290	C₂²⋊C₄	—	10	2	no	—
1291	C₂²⋊C₄	—	10	2	no	—
1292	C₂²⋊C₄	—	10	2	no	—
1293	C₂²⋊C₄	—	10	2	no	—
1294	C₂²⋊C₄	—	20	1	no	—
1295	C₂²⋊C₄	—	20	1	no	—
1296	C₂²⋊C₄	—	20	1	no	—
1297	C₂²⋊C₄	—	20	1	no	—
1298	C₂²⋊C₄	—	20	1	no	—
1299	C₂²⋊C₄	—	20	1	no	—
1300	C₂²⋊C₄	—	20	1	no	—
1301	C₂²⋊C₄	—	20	1	no	—
1302	C₂²⋊C₄	—	20	1	no	—
1303	C₂²⋊C₄	—	20	1	no	—
1304	C₂²⋊C₄	—	20	1	no	—
1305	C₂²⋊C₄	—	20	1	no	—
1306	C₂²⋊C₄	—	20	1	no	—
1307	C₂²⋊C₄	—	20	1	no	—
1308	C₂²⋊C₄	—	20	1	no	—
1309	C₄²	—	2	2	no	—
1310	C₄²	—	4	1	no	—
1311	C₄²	—	10	2	no	—
1312	C₄²	—	10	2	no	—
1313	C₄²	—	10	2	no	—
1314	C₄²	—	20	1	no	—
1315	C₄²	—	20	1	no	—
1316	C₄²	—	20	1	no	—
1317	C₂×C₅	—	2	4	no	—
1318	C₂×C₅	—	8	1	no	—
1319	C₂×C₅	C₂²×#126	1	1	yes	characteristic
1320	C₂×C₅	#3459	1	1	yes	characteristic
1321	C₂×C₅	#3459	1	1	yes	characteristic
1322	C₂×C₅	#3490	1	1	yes	characteristic
1323	C₂×C₅	#3491	1	1	yes	characteristic
1324	C₂×C₅	#3505	1	1	yes	characteristic
1325	C₂×C₅	#3505	1	1	yes	characteristic
1326	D₅	—	2	4	no	—
1327	D₅	—	2	4	no	—
1328	D₅	—	8	1	no	—
1329	C₂³	—	2	1	no	—
1330	C₂³	—	2	1	no	—
1331	C₂³	—	2	1	no	—
1332	C₂³	—	2	1	no	—
1333	C₂³	—	2	1	no	—
1334	C₂³	—	2	1	no	—
1335	C₂³	—	2	1	no	—
1336	C₂³	—	2	1	no	—
1337	C₂³	—	2	1	no	—
1338	C₂³	—	2	1	no	—
1339	C₂³	—	2	1	no	—
1340	C₂³	—	5	2	no	—
1341	C₂³	—	5	2	no	—
1342	C₂³	—	5	2	no	—
1343	C₂³	—	5	2	no	—
1344	C₂³	—	5	2	no	—
1345	C₂³	—	5	2	no	—
1346	C₂³	—	5	16	no	—
1347	C₂³	—	10	1	no	—
1348	C₂³	—	10	1	no	—
1349	C₂³	—	10	1	no	—
1350	C₂³	—	10	1	no	—
1351	C₂³	—	10	1	no	—
1352	C₂³	—	10	1	no	—
1353	C₂³	—	10	1	no	—
1354	C₂³	—	10	1	no	—
1355	C₂³	—	10	1	no	—
1356	C₂³	—	10	1	no	—
1357	C₂³	—	10	1	no	—
1358	C₂³	—	10	1	no	—
1359	C₂³	—	10	1	no	—
1360	C₂³	—	10	1	no	—
1361	C₂³	—	10	1	no	—
1362	C₂³	—	20	4	no	—
1363	C₂³	—	20	4	no	—
1364	C₂³	—	20	4	no	—
1365	C₂³	—	20	4	no	—
1366	C₂³	—	20	4	no	—
1367	C₂³	—	20	4	no	—
1368	C₂³	—	20	4	no	—
1369	C₂³	—	20	4	no	—
1370	C₂³	—	20	4	no	—
1371	C₂³	—	40	2	no	—
1372	C₂³	—	40	2	no	—
1373	C₂³	—	40	2	no	—
1374	C₂³	—	40	2	no	—
1375	C₂³	D₅×#41	1	2	yes	—
1376	C₂³	D₅×#41	1	2	yes	—
1377	C₂³	D₅×#41	1	2	yes	—
1378	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1379	D₄	—	4	4	no	—
1380	D₄	—	20	4	no	—
1381	D₄	—	20	4	no	—
1382	D₄	—	20	4	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	4	4	no	—
1422	C₂×C₄	—	4	4	no	—
1423	C₂×C₄	—	5	2	no	—
1424	C₂×C₄	—	8	2	no	—
1425	C₂×C₄	—	10	8	no	—
1426	C₂×C₄	—	10	1	no	—
1427	C₂×C₄	—	10	1	no	—
1428	C₂×C₄	—	10	1	no	—
1429	C₂×C₄	—	10	1	no	—
1430	C₂×C₄	—	10	1	no	—
1431	C₂×C₄	—	10	1	no	—
1432	C₂×C₄	—	10	1	no	—
1433	C₂×C₄	—	10	1	no	—
1434	C₂×C₄	—	10	1	no	—
1435	C₂×C₄	—	10	1	no	—
1436	C₂×C₄	—	10	1	no	—
1437	C₂×C₄	—	10	1	no	—
1438	C₂×C₄	—	10	1	no	—
1439	C₂×C₄	—	10	1	no	—
1440	C₂×C₄	—	10	1	no	—
1441	C₂×C₄	—	10	1	no	—
1442	C₂×C₄	—	10	1	no	—
1443	C₂×C₄	—	10	1	no	—
1444	C₂×C₄	—	10	1	no	—
1445	C₂×C₄	—	10	1	no	—
1446	C₂×C₄	—	10	1	no	—
1447	C₂×C₄	—	10	1	no	—
1448	C₂×C₄	—	10	1	no	—
1449	C₂×C₄	—	10	1	no	—
1450	C₂×C₄	—	10	1	no	—
1451	C₂×C₄	—	10	1	no	—
1452	C₂×C₄	—	10	1	no	—
1453	C₂×C₄	—	10	1	no	—
1454	C₂×C₄	—	10	1	no	—
1455	C₂×C₄	—	10	1	no	—
1456	C₂×C₄	—	10	1	no	—
1457	C₂×C₄	—	10	1	no	—
1458	C₂×C₄	—	10	1	no	—
1459	C₂×C₄	—	10	1	no	—
1460	C₂×C₄	—	10	1	no	—
1461	C₂×C₄	—	10	1	no	—
1462	C₂×C₄	—	10	1	no	—
1463	C₂×C₄	—	10	1	no	—
1464	C₂×C₄	—	20	4	no	—
1465	C₂×C₄	—	20	4	no	—
1466	C₂×C₄	—	20	4	no	—
1467	C₂×C₄	—	20	4	no	—
1468	C₂×C₄	—	20	4	no	—
1469	C₂×C₄	—	20	4	no	—
1470	C₂×C₄	—	20	4	no	—
1471	C₂×C₄	—	20	4	no	—
1472	C₂×C₄	—	20	4	no	—
1473	C₂×C₄	—	20	4	no	—
1474	C₂×C₄	—	40	2	no	—
1475	C₂×C₄	—	40	2	no	—
1476	C₂×C₄	—	40	2	no	—
1477	C₂×C₄	#4149	1	2	yes	—
1478	C₅	#34995	1	1	yes	characteristic, complemented, Sylow
1479	C₂²	—	2	2	no	—
1480	C₂²	—	2	2	no	—
1481	C₂²	—	2	2	no	—
1482	C₂²	—	2	2	no	—
1483	C₂²	—	2	2	no	—
1484	C₂²	—	2	2	no	—
1485	C₂²	—	4	1	no	—
1486	C₂²	—	4	1	no	—
1487	C₂²	—	4	1	no	—
1488	C₂²	—	4	1	no	—
1489	C₂²	—	4	1	no	—
1490	C₂²	—	4	1	no	—
1491	C₂²	—	4	1	no	—
1492	C₂²	—	5	4	no	—
1493	C₂²	—	5	4	no	—
1494	C₂²	—	10	2	no	—
1495	C₂²	—	10	2	no	—
1496	C₂²	—	10	2	no	—
1497	C₂²	—	10	2	no	—
1498	C₂²	—	10	2	no	—
1499	C₂²	—	10	2	no	—
1500	C₂²	—	10	2	no	—
1501	C₂²	—	10	2	no	—
1502	C₂²	—	10	2	no	—
1503	C₂²	—	10	2	no	—
1504	C₂²	—	10	2	no	—
1505	C₂²	—	10	2	no	—
1506	C₂²	—	20	16	no	—
1507	C₂²	—	20	1	no	—
1508	C₂²	—	20	1	no	—
1509	C₂²	—	20	1	no	—
1510	C₂²	—	20	1	no	—
1511	C₂²	—	20	1	no	—
1512	C₂²	—	20	1	no	—
1513	C₂²	—	20	1	no	—
1514	C₂²	—	40	8	no	—
1515	C₂²	D₅×#126	1	4	yes	—
1516	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1517	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1518	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1519	C₂²	C₂×#4149	1	1	yes	characteristic
1520	C₂²	#66283	1	1	yes	characteristic
1521	C₂²	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1522	C₂²	#66285	1	1	yes	characteristic
1523	C₄	—	2	2	no	—
1524	C₄	—	4	1	no	—
1525	C₄	—	4	1	no	—
1526	C₄	—	4	1	no	—
1527	C₄	—	4	1	no	—
1528	C₄	—	4	1	no	—
1529	C₄	—	4	1	no	—
1530	C₄	—	4	1	no	—
1531	C₄	—	4	1	no	—
1532	C₄	—	4	1	no	—
1533	C₄	—	4	1	no	—
1534	C₄	—	4	1	no	—
1535	C₄	—	4	1	no	—
1536	C₄	—	10	2	no	—
1537	C₄	—	20	1	no	—
1538	C₄	—	20	1	no	—
1539	C₄	—	20	1	no	—
1540	C₄	—	20	1	no	—
1541	C₄	—	20	1	no	—
1542	C₄	—	20	1	no	—
1543	C₄	—	20	1	no	—
1544	C₄	—	20	1	no	—
1545	C₄	—	20	1	no	—
1546	C₄	—	20	1	no	—
1547	C₄	—	20	1	no	—
1548	C₄	—	20	1	no	—
1549	C₂	—	2	4	no	—
1550	C₂	—	8	1	no	—
1551	C₂	—	10	4	no	—
1552	C₂	—	10	4	no	—
1553	C₂	—	40	1	no	—
1554	C₂	C₂×D₅×#126	1	1	yes	characteristic
1555	C₂	#10618048	1	1	yes	characteristic
1556	C₂	#10618289	1	1	yes	characteristic
1557	C₂	#10618716	1	1	yes	characteristic
1558	C₂	#10618717	1	1	yes	characteristic
1559	C₂	#10618812	1	1	yes	characteristic
1560	C₂	#10618813	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅
commutator, socle, cosocle	C₂³×C₅	C₂⁵
Fitting	C₅×#2510	C₂
prime radical	C₂²×D₄×D₅	C₂²
hypercenter	#2510	D₅
hypocenter	C₅	#34995
LCS	G ▷ C₂³×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ #2510

Complements

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

N	H ≅ G/N	type
1. C₅×#2510	C₂	semidirect
2. #10610163	C₂	semidirect
3. #10610161	C₂	semidirect
4. #10610093	C₂	semidirect
5. #10610080	C₂	semidirect
6. #10609419	C₂	semidirect
7. #10609419	C₂	semidirect
8. #10609213	C₂	semidirect
9. #10609212	C₂	semidirect
10. #10607689	C₂	semidirect
11. #10607689	C₂	semidirect
12. #10607271	C₂	semidirect
13. #10607270	C₂	semidirect
14. #10607177	C₂	semidirect
15. #10607069	C₂	semidirect
19. #10606474	C₂	semidirect
20. #10606468	C₂	semidirect
21. #10606466	C₂	semidirect
22. #10606322	C₂	semidirect
23. #10606185	C₂	semidirect
24. #10606048	C₂	semidirect
25. #10606031	C₂	semidirect
26. #10605736	C₂	semidirect
27. #10605659	C₂	semidirect
28. C₄×D₅×C₂²⋊C₄	C₂	semidirect
29. #10605234	C₂	semidirect
30. C₂×#64957	C₂	semidirect
31. #10605087	C₂	semidirect
36. C₂²×C₄⋊Dic₅	C₂²	semidirect
37. C₂²×#683	C₂²	semidirect
38. C₂×#4044	C₂²	semidirect
44. C₂×#4025	C₂²	semidirect
45. C₂×#4025	C₂²	semidirect
46. C₂×#4022	C₂²	semidirect
47. C₂×C₄²×D₅	C₂²	semidirect
48. C₂×C₄²×D₅	C₂²	semidirect
49. C₅×#401	C₂²	semidirect
50. C₅×#400	C₂²	semidirect
51. C₅×#397	C₂²	semidirect
52. C₅×#397	C₂²	semidirect
53. C₅×#388	C₂²	semidirect
54. C₅×#388	C₂²	semidirect
55. C₅×#387	C₂²	semidirect
59. C₅×#385	C₂²	semidirect
60. C₅×#383	C₂²	semidirect
61. C₅×#380	C₂²	semidirect
62. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
63. C₂×C₅×#95	C₂²	semidirect
70. #65501	C₂²	semidirect
71. #65499	C₂²	semidirect
72. C₄×C₂²⋊Dic₅	C₂²	semidirect
73. C₂×#3963	C₂²	semidirect
74. #65283	C₂²	semidirect
75. #65282	C₂²	semidirect
76. #65279	C₂²	semidirect
79. #65278	C₂²	semidirect
80. #65278	C₂²	semidirect
81. #65278	C₂²	semidirect
82. #65278	C₂²	semidirect
85. #65275	C₂²	semidirect
86. #65275	C₂²	semidirect
87. #65270	C₂²	semidirect
88. #65270	C₂²	semidirect
102. #65242	C₂²	semidirect
103. #65242	C₂²	semidirect
104. #65241	C₂²	semidirect
105. #65241	C₂²	semidirect
106. #65240	C₂²	semidirect
107. #65240	C₂²	semidirect
108. #65239	C₂²	semidirect
109. #65237	C₂²	semidirect
110. #65237	C₂²	semidirect
111. #65235	C₂²	semidirect
112. #65234	C₂²	semidirect
113. #65234	C₂²	semidirect
114. #65231	C₂²	semidirect
115. #65231	C₂²	semidirect
116. C₂²⋊C₄×Dic₅	C₂²	semidirect
117. C₂²⋊C₄×Dic₅	C₂²	semidirect
118. #65229	C₂²	semidirect
121. #65222	C₂²	semidirect
122. #65222	C₂²	semidirect
123. #64965	C₂²	semidirect
124. #64964	C₂²	semidirect
125. #64964	C₂²	semidirect
126. #64963	C₂²	semidirect
127. #64963	C₂²	semidirect
128. #64963	C₂²	semidirect
129. #64959	C₂²	semidirect
130. #64959	C₂²	semidirect
131. #64959	C₂²	semidirect
132. #64958	C₂²	semidirect
139. #64957	C₂²	semidirect
140. #64957	C₂²	semidirect
141. #64957	C₂²	semidirect
142. #64957	C₂²	semidirect
143. #64957	C₂²	semidirect
144. #64957	C₂²	semidirect
145. #64957	C₂²	semidirect
146. #64957	C₂²	semidirect
163. D₅×#95	C₂²	semidirect
164. D₅×#95	C₂²	semidirect
165. C₅⋊#401	C₂²	semidirect
166. C₅⋊#401	C₂²	semidirect
167. C₅⋊#401	C₂²	semidirect
168. #64949	C₂²	semidirect
169. #64949	C₂²	semidirect
170. #64949	C₂²	semidirect
171. #64949	C₂²	semidirect
172. #64949	C₂²	semidirect
173. #64948	C₂²	semidirect
174. #64947	C₂²	semidirect
175. #64947	C₂²	semidirect
176. #64947	C₂²	semidirect
177. #64944	C₂²	semidirect
178. #64943	C₂²	semidirect
179. #64943	C₂²	semidirect
180. #64942	C₂²	semidirect
181. #64942	C₂²	semidirect
182. #64942	C₂²	semidirect
183. #64941	C₂²	semidirect
184. #64940	C₂²	semidirect
185. #64940	C₂²	semidirect
186. #64940	C₂²	semidirect
375. #2510	D₅	semidirect
601. #401	C₂×D₅	semidirect
613. #400	C₂×D₅	semidirect
624. #397	C₂×D₅	semidirect
625. #397	C₂×D₅	semidirect
640. #388	C₂×D₅	semidirect
641. #388	C₂×D₅	semidirect
653. #387	C₂×D₅	semidirect
701. #385	C₂×D₅	semidirect
705. #383	C₂×D₅	semidirect
717. #380	C₂×D₅	semidirect
729. C₄×C₂²⋊C₄	C₂×D₅	semidirect
735. C₂×#95	C₂×D₅	semidirect
779. C₂²×D₅	#126	semidirect
1478. C₅	#34995	semidirect

Maximal subgroups

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

subgroup	index
C₅×#2510	2
#10610163	2
#10610161	2
#10610093	2
#10610080	2
#10609419	2
#10609213	2
#10609212	2
#10607689	2
#10607271	2
#10607270	2
#10607177	2
#10607069	2
#10606605	2
D₅×#386	2
#10606474	2
#10606468	2
#10606466	2
#10606322	2
#10606185	2
#10606048	2
#10606031	2
#10605736	2
#10605659	2
C₄×D₅×C₂²⋊C₄	2
#10605234	2
C₂×#64957	2
#10605087	2
#34995	5