Subgroups — #12268677

Order 1280.

1848 conjugacy classes of subgroups.

The subgroup lattice has 1354 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#2524	C₂	1	1	yes	maximal, characteristic, complemented
2	#10609883	C₂	1	1	yes	maximal, characteristic, complemented
3	#10609866	C₂	1	1	yes	maximal, characteristic, complemented
4	#10609863	C₂	1	1	yes	maximal, characteristic, complemented
5	#10609863	C₂	1	1	yes	maximal, characteristic, complemented
6	#10609495	C₂	1	1	yes	maximal, characteristic
7	#10609473	C₂	1	1	yes	maximal, characteristic
8	#10609472	C₂	1	1	yes	maximal, characteristic, complemented
9	#10609472	C₂	1	1	yes	maximal, characteristic, complemented
10	#10607074	C₂	1	1	yes	maximal, characteristic, complemented
11	#10607068	C₂	1	1	yes	maximal, characteristic, complemented
12	#10607047	C₂	1	1	yes	maximal, characteristic
13	#10607046	C₂	1	1	yes	maximal, characteristic
14	#10606763	C₂	1	1	yes	maximal, characteristic, complemented
15	#10606759	C₂	1	1	yes	maximal, characteristic, complemented
16	#10606674	C₂	1	1	yes	maximal, characteristic, complemented
17	#10606672	C₂	1	1	yes	maximal, characteristic, complemented
18	#10606672	C₂	1	1	yes	maximal, characteristic, complemented
19	#10606671	C₂	1	1	yes	maximal, characteristic
20	#10606671	C₂	1	1	yes	maximal, characteristic
21	#10606669	C₂	1	1	yes	maximal, characteristic, complemented
22	#10606031	C₂	1	1	yes	maximal, characteristic, complemented
23	#10605997	C₂	1	1	yes	maximal, characteristic, complemented
24	#10605989	C₂	1	1	yes	maximal, characteristic, complemented
25	#10605989	C₂	1	1	yes	maximal, characteristic, complemented
26	#10605895	C₂	1	1	yes	maximal, characteristic, complemented
27	#10605878	C₂	1	1	yes	maximal, characteristic, complemented
28	#10605525	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×D₅×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
30	#10605433	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#4039	C₂	1	1	yes	maximal, characteristic
32	C₂×#4042	C₂²	1	1	yes	characteristic
33	C₂×#4042	C₂²	1	1	yes	characteristic
34	C₂×#4040	C₂²	1	1	yes	characteristic
35	C₂×#4040	C₂²	1	1	yes	characteristic
36	C₂×#4039	C₂²	1	1	yes	characteristic
37	C₂×#4039	C₂²	1	1	yes	characteristic
38	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
39	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
40	C₂×#4035	C₂²	1	1	yes	characteristic
41	C₂×#4033	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic
43	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
44	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
45	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
46	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
47	C₅×#400	C₂²	1	1	yes	characteristic
48	C₅×#400	C₂²	1	1	yes	characteristic
49	C₅×#398	C₂²	1	1	yes	characteristic
50	C₅×#398	C₂²	1	1	yes	characteristic
51	C₅×#387	C₂²	1	1	yes	characteristic
52	C₅×#387	C₂²	1	1	yes	characteristic
53	C₅×#387	C₂²	1	1	yes	characteristic
54	C₅×#387	C₂²	1	1	yes	characteristic
55	C₅×#387	C₂²	1	1	yes	characteristic
56	C₅×#387	C₂²	1	1	yes	characteristic
57	C₅×#383	C₂²	1	1	yes	characteristic
58	C₅×#383	C₂²	1	1	yes	characteristic
59	C₅×#382	C₂²	1	1	yes	characteristic
60	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
61	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
62	#65283	C₂²	1	1	yes	characteristic
63	#65283	C₂²	1	1	yes	characteristic
64	#65282	C₂²	1	1	yes	characteristic
65	#65282	C₂²	1	1	yes	characteristic
66	#65278	C₂²	1	1	yes	characteristic
67	#65278	C₂²	1	1	yes	characteristic
68	#65276	C₂²	1	1	yes	characteristic
69	#65276	C₂²	1	1	yes	characteristic
70	#65275	C₂²	1	1	yes	characteristic
71	#65275	C₂²	1	1	yes	characteristic
72	#65273	C₂²	1	1	yes	characteristic
73	#65273	C₂²	1	1	yes	characteristic
74	#65272	C₂²	1	1	yes	characteristic
75	#65272	C₂²	1	1	yes	characteristic
76	#65271	C₂²	1	1	yes	characteristic
77	#65271	C₂²	1	1	yes	characteristic
78	#65270	C₂²	1	1	yes	characteristic
79	#65267	C₂²	1	1	yes	characteristic
80	#65267	C₂²	1	1	yes	characteristic
81	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
82	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
83	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
84	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
85	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
86	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
87	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
88	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
89	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
90	#65261	C₂²	1	1	yes	characteristic
91	#65261	C₂²	1	1	yes	characteristic
92	#65229	C₂²	1	1	yes	characteristic
93	#65229	C₂²	1	1	yes	characteristic
94	C₄×#685	C₂²	1	1	yes	characteristic
95	C₄×#685	C₂²	1	1	yes	characteristic
96	#65226	C₂²	1	1	yes	characteristic
97	#65226	C₂²	1	1	yes	characteristic
98	#65225	C₂²	1	1	yes	characteristic
99	C₄×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
100	#65222	C₂²	1	1	yes	characteristic
101	#65222	C₂²	1	1	yes	characteristic
102	#65222	C₂²	1	1	yes	characteristic
103	#65222	C₂²	1	1	yes	characteristic
104	C₄×#683	C₂²	1	1	yes	characteristic
105	C₄×#683	C₂²	1	1	yes	characteristic
106	C₄²×Dic₅	C₂²	1	1	yes	characteristic
107	#64964	C₂²	1	1	yes	characteristic
108	#64964	C₂²	1	1	yes	characteristic
109	#64963	C₂²	1	1	yes	characteristic
110	#64963	C₂²	1	1	yes	characteristic
111	#64959	C₂²	1	1	yes	characteristic
112	#64959	C₂²	1	1	yes	characteristic
113	#64957	C₂²	1	1	yes	characteristic
114	#64957	C₂²	1	1	yes	characteristic
115	#64957	C₂²	1	1	yes	characteristic
116	#64957	C₂²	1	1	yes	characteristic
117	#64956	C₂²	1	1	yes	characteristic
118	#64956	C₂²	1	1	yes	characteristic
119	#64956	C₂²	1	1	yes	characteristic
120	#64956	C₂²	1	1	yes	characteristic
121	#64956	C₂²	1	1	yes	characteristic
122	#64956	C₂²	1	1	yes	characteristic
123	#64955	C₂²	1	1	yes	characteristic
124	#64955	C₂²	1	1	yes	characteristic
125	#64955	C₂²	1	1	yes	characteristic
126	#64955	C₂²	1	1	yes	characteristic
127	#64955	C₂²	1	1	yes	characteristic
128	#64955	C₂²	1	1	yes	characteristic
129	#64955	C₂²	1	1	yes	characteristic
130	#64955	C₂²	1	1	yes	characteristic
131	#64955	C₂²	1	1	yes	characteristic
132	#64955	C₂²	1	1	yes	characteristic
133	#64954	C₂²	1	1	yes	characteristic
134	#64954	C₂²	1	1	yes	characteristic
135	#64953	C₂²	1	1	yes	characteristic
136	#64953	C₂²	1	1	yes	characteristic
137	#64953	C₂²	1	1	yes	characteristic
138	#64953	C₂²	1	1	yes	characteristic
139	#64953	C₂²	1	1	yes	characteristic
140	#64953	C₂²	1	1	yes	characteristic
141	#64953	C₂²	1	1	yes	characteristic
142	#64953	C₂²	1	1	yes	characteristic
143	D₅×#95	C₂²	1	1	yes	characteristic
144	D₅×#95	C₂²	1	1	yes	characteristic
145	C₅⋊#401	C₂²	1	1	yes	characteristic
146	C₅⋊#401	C₂²	1	1	yes	characteristic
147	#64950	C₂²	1	1	yes	characteristic
148	#64950	C₂²	1	1	yes	characteristic
149	#64949	C₂²	1	1	yes	characteristic
150	#64949	C₂²	1	1	yes	characteristic
151	#64949	C₂²	1	1	yes	characteristic
152	#64949	C₂²	1	1	yes	characteristic
153	#64948	C₂²	1	1	yes	characteristic
154	#64948	C₂²	1	1	yes	characteristic
155	#64948	C₂²	1	1	yes	characteristic
156	#64948	C₂²	1	1	yes	characteristic
157	#64944	C₂²	1	1	yes	characteristic
158	#64943	C₂²	1	1	yes	characteristic
159	#64941	C₂²	1	1	yes	characteristic
160	#64940	C₂²	1	1	yes	characteristic
161	#64940	C₂²	1	1	yes	characteristic
162	#64939	C₂²	1	1	yes	characteristic
163	#64939	C₂²	1	1	yes	characteristic
164	#64939	C₂²	1	1	yes	characteristic
165	#64939	C₂²	1	1	yes	characteristic
166	#64939	C₂²	1	1	yes	characteristic
167	#64938	C₂²	1	1	yes	characteristic
168	#64938	C₂²	1	1	yes	characteristic
169	#64938	C₂²	1	1	yes	characteristic
170	#64938	C₂²	1	1	yes	characteristic
171	#64938	C₂²	1	1	yes	characteristic
172	#64938	C₂²	1	1	yes	characteristic
173	#64938	C₂²	1	1	yes	characteristic
174	#64938	C₂²	1	1	yes	characteristic
175	#64937	C₂²	1	1	yes	characteristic
176	#64937	C₂²	1	1	yes	characteristic
177	#64937	C₂²	1	1	yes	characteristic
178	#64937	C₂²	1	1	yes	characteristic
179	#64936	C₂²	1	1	yes	characteristic
180	#64936	C₂²	1	1	yes	characteristic
181	#64936	C₂²	1	1	yes	characteristic
182	#64936	C₂²	1	1	yes	characteristic
183	#64935	C₂²	1	1	yes	characteristic
184	#64935	C₂²	1	1	yes	characteristic
185	#64935	C₂²	1	1	yes	characteristic
186	#64935	C₂²	1	1	yes	characteristic
187	#34780	—	5	1	no	maximal, Sylow
188	C₂²×D₂₀	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₅	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×Dic₁₀	C₂³	1	1	yes	characteristic
200	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
215	C₂×#685	C₂³	1	1	yes	characteristic
216	C₂×#685	C₂³	1	1	yes	characteristic
217	C₂×#685	C₂³	1	1	yes	characteristic
218	C₂×#685	C₂³	1	1	yes	characteristic
219	C₂×#685	C₂³	1	1	yes	characteristic
220	C₂×#685	C₂³	1	1	yes	characteristic
221	C₂×#685	C₂³	1	1	yes	characteristic
222	C₂×#685	C₂³	1	1	yes	characteristic
223	C₂×#685	C₂³	1	1	yes	characteristic
224	C₂×#685	C₂³	1	1	yes	characteristic
225	C₂×#685	C₂³	1	1	yes	characteristic
226	C₂×#685	C₂³	1	1	yes	characteristic
227	C₂×#685	C₂³	1	1	yes	characteristic
228	C₂×#685	C₂³	1	1	yes	characteristic
229	C₂×#685	C₂³	1	1	yes	characteristic
230	C₂×#685	C₂³	1	1	yes	characteristic
231	C₂×#685	C₂³	1	1	yes	characteristic
232	C₂×#685	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
241	C₂×#683	C₂³	1	1	yes	characteristic
242	C₂×#683	C₂³	1	1	yes	characteristic
243	C₂×#683	C₂³	1	1	yes	characteristic
244	C₂×#683	C₂³	1	1	yes	characteristic
245	C₂×#683	C₂³	1	1	yes	characteristic
246	C₂×#683	C₂³	1	1	yes	characteristic
247	C₂×#683	C₂³	1	1	yes	characteristic
248	C₂×#683	C₂³	1	1	yes	characteristic
249	C₂×#683	C₂³	1	1	yes	characteristic
250	C₂×#683	C₂³	1	1	yes	characteristic
251	C₂×#683	C₂³	1	1	yes	characteristic
252	C₂×#683	C₂³	1	1	yes	characteristic
253	C₂×#683	C₂³	1	1	yes	characteristic
254	C₂×#683	C₂³	1	1	yes	characteristic
255	C₂×#683	C₂³	1	1	yes	characteristic
256	C₂×#683	C₂³	1	1	yes	characteristic
257	C₂×#683	C₂³	1	1	yes	characteristic
258	C₂×#683	C₂³	1	1	yes	characteristic
259	C₂×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×C₄×Dic₅	C₂³	1	1	yes	characteristic
263	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
264	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
265	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
279	#4042	—	2	4	no	—
280	#4042	—	2	4	no	—
281	#4040	—	2	4	no	—
282	#4040	—	2	4	no	—
283	#4039	—	2	4	no	—
284	#4039	—	2	4	no	—
285	D₅×C₄⋊C₄	—	2	4	no	—
286	D₅×C₄⋊C₄	—	2	4	no	—
287	#4035	—	2	4	no	—
288	#4033	—	2	4	no	—
289	C₄×D₂₀	—	2	4	no	—
290	C₄²×D₅	—	2	4	no	—
291	C₄²×D₅	—	2	4	no	—
292	C₄²×D₅	—	2	4	no	—
293	C₄²×D₅	—	2	4	no	—
294	C₅×#95	C₂³	1	1	yes	characteristic
295	C₅×#95	C₂³	1	1	yes	characteristic
296	C₅×#95	C₂³	1	1	yes	characteristic
297	C₅×#95	C₂³	1	1	yes	characteristic
298	C₅×#95	C₂³	1	1	yes	characteristic
299	C₅×#95	C₂³	1	1	yes	characteristic
300	C₅×#95	C₂³	1	1	yes	characteristic
301	C₅×#95	C₂³	1	1	yes	characteristic
302	C₅×#95	C₂³	1	1	yes	characteristic
303	C₅×#95	C₂³	1	1	yes	characteristic
304	C₅×#95	C₂³	1	1	yes	characteristic
305	C₅×#95	C₂³	1	1	yes	characteristic
306	C₅×#95	C₂³	1	1	yes	characteristic
307	C₅×#95	C₂³	1	1	yes	characteristic
308	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	#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	#2524	—	5	1	no	—
359	#2524	D₅	1	1	yes	characteristic, complemented
360	#2515	—	5	1	no	—
361	#2515	—	5	1	no	—
362	#2514	—	5	1	no	—
363	#2508	—	5	1	no	—
364	#2503	—	5	1	no	—
365	#2495	—	5	1	no	—
366	#2493	—	5	1	no	—
367	#2493	—	5	1	no	—
368	#2489	—	5	1	no	—
369	#2486	—	5	1	no	—
370	#2442	—	5	1	no	—
371	#2419	—	5	1	no	—
372	#2419	—	5	1	no	—
373	#2417	—	5	1	no	—
374	#2402	—	5	1	no	—
375	#2402	—	5	1	no	—
376	#2401	—	5	1	no	—
377	#2401	—	5	1	no	—
378	C₄×#125	—	5	1	no	—
379	C₄×C₂²⋊Q₈	—	5	1	no	—
380	C₄×C₂²⋊Q₈	—	5	1	no	—
381	C₄×#123	—	5	1	no	—
382	C₄×#123	—	5	1	no	—
383	#2295	—	5	1	no	—
384	#2283	—	5	1	no	—
385	#2283	—	5	1	no	—
386	#2283	—	5	1	no	—
387	C₄²×D₄	—	5	1	no	—
388	C₂×C₄×C₄⋊C₄	—	5	1	no	—
389	C₂³×D₅	C₂⁴	1	1	yes	characteristic
390	C₂³×D₅	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
403	C₂²×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×Dic₅	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
409	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
410	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
415	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
420	C₂×D₂₀	—	2	2	no	—
421	C₂×D₂₀	—	2	2	no	—
422	C₂×D₂₀	#41	1	4	yes	—
423	C₂×C₄×D₅	—	2	2	no	—
424	C₂×C₄×D₅	—	2	2	no	—
425	C₂×C₄×D₅	—	2	2	no	—
426	C₂×C₄×D₅	—	2	2	no	—
427	C₂×C₄×D₅	—	2	2	no	—
428	C₂×C₄×D₅	—	2	2	no	—
429	C₂×C₄×D₅	—	2	2	no	—
430	C₂×C₄×D₅	—	2	2	no	—
431	C₂×C₄×D₅	—	2	2	no	—
432	C₂×C₄×D₅	—	2	2	no	—
433	C₂×C₄×D₅	—	2	2	no	—
434	C₂×C₄×D₅	—	2	2	no	—
435	C₂×C₄×D₅	—	2	2	no	—
436	C₂×C₄×D₅	—	2	2	no	—
437	C₂×C₄×D₅	—	2	2	no	—
438	C₂×C₄×D₅	—	2	2	no	—
439	C₂×C₄×D₅	—	2	2	no	—
440	C₂×C₄×D₅	—	2	2	no	—
441	C₂×C₄×D₅	—	2	2	no	—
442	C₂×C₄×D₅	—	2	2	no	—
443	C₂×C₄×D₅	—	2	2	no	—
444	C₂×C₄×D₅	—	2	2	no	—
445	C₂×C₄×D₅	—	2	2	no	—
446	C₂×C₄×D₅	—	2	2	no	—
447	C₂×C₄×D₅	—	4	1	no	—
448	C₂×C₄×D₅	—	4	1	no	—
449	C₂×C₄×D₅	—	4	1	no	—
450	C₂×C₄×D₅	—	4	1	no	—
451	C₂×C₄×D₅	#41	1	4	yes	—
452	C₂×C₄×D₅	#41	1	4	yes	—
453	C₂×Dic₁₀	—	2	2	no	—
454	C₂×Dic₁₀	—	2	2	no	—
455	C₂×Dic₁₀	—	2	2	no	—
456	C₅×C₄⋊C₄	—	2	2	no	—
457	C₅×C₄⋊C₄	—	2	2	no	—
458	C₅×C₄⋊C₄	—	2	2	no	—
459	C₅×C₄⋊C₄	—	2	2	no	—
460	C₅×C₄⋊C₄	—	2	2	no	—
461	C₅×C₄⋊C₄	—	2	2	no	—
462	C₅×C₄⋊C₄	—	2	2	no	—
463	C₅×C₄⋊C₄	—	2	2	no	—
464	C₅×C₄⋊C₄	—	2	2	no	—
465	C₅×C₄⋊C₄	—	2	2	no	—
466	C₄²×C₅	—	2	2	no	—
467	C₄²×C₅	—	2	2	no	—
468	C₄²×C₅	—	2	2	no	—
469	C₄²×C₅	—	2	2	no	—
470	C₄²×C₅	—	2	2	no	—
471	#685	—	2	2	no	—
472	#685	—	2	2	no	—
473	#685	—	2	2	no	—
474	#685	—	2	2	no	—
475	#685	—	2	2	no	—
476	#685	—	2	2	no	—
477	#685	—	2	2	no	—
478	#685	—	2	2	no	—
479	#685	—	2	2	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	—	2	2	no	—
486	#685	—	2	2	no	—
487	#685	—	4	1	no	—
488	#685	—	4	1	no	—
489	C₄⋊Dic₅	—	2	2	no	—
490	C₄⋊Dic₅	—	2	2	no	—
491	C₄⋊Dic₅	—	2	2	no	—
492	C₄⋊Dic₅	—	2	2	no	—
493	C₄⋊Dic₅	—	4	1	no	—
494	C₄⋊Dic₅	—	4	1	no	—
495	C₄⋊Dic₅	—	4	1	no	—
496	C₄⋊Dic₅	—	4	1	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	—	2	2	no	—
503	#683	—	2	2	no	—
504	#683	—	2	2	no	—
505	#683	—	2	2	no	—
506	#683	—	2	2	no	—
507	#683	—	2	2	no	—
508	#683	—	2	2	no	—
509	#683	—	2	2	no	—
510	#683	—	4	1	no	—
511	#683	—	4	1	no	—
512	#683	—	4	1	no	—
513	#683	—	4	1	no	—
514	#683	#41	1	4	yes	—
515	C₄×Dic₅	—	2	2	no	—
516	C₄×Dic₅	—	2	2	no	—
517	C₄×Dic₅	—	2	2	no	—
518	C₄×Dic₅	—	2	2	no	—
519	C₄×Dic₅	—	2	2	no	—
520	C₄×Dic₅	—	2	2	no	—
521	C₄×Dic₅	—	2	2	no	—
522	C₄×Dic₅	—	2	2	no	—
523	C₄×Dic₅	—	2	2	no	—
524	C₄×Dic₅	—	2	2	no	—
525	C₄×Dic₅	—	2	2	no	—
526	C₄×Dic₅	—	2	2	no	—
527	C₄×Dic₅	—	2	2	no	—
528	C₄×Dic₅	—	2	2	no	—
529	C₄×Dic₅	—	2	2	no	—
530	C₄×Dic₅	—	2	2	no	—
531	C₄×Dic₅	—	2	2	no	—
532	C₄×Dic₅	—	2	2	no	—
533	C₄×Dic₅	—	4	1	no	—
534	C₄×Dic₅	#41	1	4	yes	—
535	C₂×#125	—	5	1	no	—
536	C₂×#123	—	5	1	no	—
537	C₂×#123	—	5	1	no	—
538	C₂×C₂²⋊Q₈	—	5	1	no	—
539	C₂×C₂²⋊Q₈	—	5	1	no	—
540	C₂×C₄×Q₈	—	5	1	no	—
541	C₂×C₄×D₄	—	5	1	no	—
542	C₂×C₄×D₄	—	5	1	no	—
543	C₂×C₄×D₄	—	5	1	no	—
544	C₂²×C₄⋊C₄	—	5	1	no	—
545	C₂²×C₄⋊C₄	—	5	1	no	—
546	C₂²×C₄²	—	5	1	no	—
547	C₂²×C₄²	—	5	1	no	—
548	C₂²×C₄²	—	5	1	no	—
549	C₂²×C₄²	—	5	1	no	—
550	#401	—	5	1	no	—
551	#401	—	5	1	no	—
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	#400	—	5	1	no	—
561	#400	—	5	1	no	—
562	#400	—	5	1	no	—
563	#400	—	5	1	no	—
564	#400	C₂×D₅	1	1	yes	characteristic
565	#400	C₂×D₅	1	1	yes	characteristic
566	#398	—	5	1	no	—
567	#398	—	5	1	no	—
568	#398	—	5	1	no	—
569	#398	—	5	1	no	—
570	#398	—	5	1	no	—
571	#398	—	5	1	no	—
572	#398	C₂×D₅	1	1	yes	characteristic
573	#398	C₂×D₅	1	1	yes	characteristic
574	#397	—	5	1	no	—
575	#397	—	5	1	no	—
576	#397	—	5	1	no	—
577	#397	—	5	1	no	—
578	#397	—	5	1	no	—
579	#397	—	5	1	no	—
580	#396	—	5	1	no	—
581	#396	—	5	1	no	—
582	#391	—	5	1	no	—
583	#391	—	5	1	no	—
584	#391	—	5	1	no	—
585	#391	—	5	1	no	—
586	#389	—	5	1	no	—
587	#389	—	5	1	no	—
588	#389	—	5	1	no	—
589	#389	—	5	1	no	—
590	#389	—	5	1	no	—
591	#389	—	5	1	no	—
592	#388	—	5	1	no	—
593	#388	—	5	1	no	—
594	#388	—	5	1	no	—
595	#388	—	5	1	no	—
596	#387	—	5	1	no	—
597	#387	—	5	1	no	—
598	#387	—	5	1	no	—
599	#387	—	5	1	no	—
600	#387	—	5	1	no	—
601	#387	—	5	1	no	—
602	#387	—	5	1	no	—
603	#387	—	5	1	no	—
604	#387	—	5	1	no	—
605	#387	—	5	1	no	—
606	#387	C₂×D₅	1	1	yes	characteristic
607	#387	C₂×D₅	1	1	yes	characteristic
608	#387	C₂×D₅	1	1	yes	characteristic
609	#387	C₂×D₅	1	1	yes	characteristic
610	#387	C₂×D₅	1	1	yes	characteristic
611	#387	C₂×D₅	1	1	yes	characteristic
612	#386	—	5	1	no	—
613	#386	—	5	1	no	—
614	#385	—	5	1	no	—
615	#385	—	5	1	no	—
616	#385	—	5	1	no	—
617	#385	—	5	1	no	—
618	#385	—	5	1	no	—
619	#385	—	5	1	no	—
620	#383	—	5	1	no	—
621	#383	—	5	1	no	—
622	#383	—	5	1	no	—
623	#383	—	5	1	no	—
624	#383	C₂×D₅	1	1	yes	characteristic
625	#383	C₂×D₅	1	1	yes	characteristic
626	#382	—	5	1	no	—
627	#382	—	5	1	no	—
628	#382	—	5	1	no	—
629	#382	—	5	1	no	—
630	#382	—	5	1	no	—
631	#382	—	5	1	no	—
632	#382	C₂×D₅	1	1	yes	characteristic
633	#381	—	5	1	no	—
634	#381	—	5	1	no	—
635	#381	—	5	1	no	—
636	#381	—	5	1	no	—
637	#381	—	5	1	no	—
638	#381	—	5	1	no	—
639	#381	—	5	1	no	—
640	#381	—	5	1	no	—
641	#380	—	5	1	no	—
642	#380	—	5	1	no	—
643	#380	—	5	1	no	—
644	#380	—	5	1	no	—
645	#380	—	5	1	no	—
646	#380	—	5	1	no	—
647	#380	—	5	1	no	—
648	#380	—	5	1	no	—
649	C₄×C₄⋊C₄	—	5	1	no	—
650	C₄×C₄⋊C₄	—	5	1	no	—
651	C₄×C₄⋊C₄	—	5	1	no	—
652	C₄×C₄⋊C₄	—	5	1	no	—
653	C₄×C₄⋊C₄	—	5	1	no	—
654	C₄×C₄⋊C₄	—	5	1	no	—
655	C₄×C₄⋊C₄	—	5	1	no	—
656	C₄×C₄⋊C₄	—	5	1	no	—
657	C₄×C₄⋊C₄	—	5	1	no	—
658	C₄×C₄⋊C₄	—	5	1	no	—
659	C₄×C₄⋊C₄	—	5	1	no	—
660	C₄×C₄⋊C₄	—	5	1	no	—
661	C₄×C₄⋊C₄	—	5	1	no	—
662	C₄×C₄⋊C₄	—	5	1	no	—
663	C₄×C₄⋊C₄	—	5	1	no	—
664	C₄×C₄⋊C₄	—	5	1	no	—
665	C₄×C₄⋊C₄	—	5	1	no	—
666	C₄×C₄⋊C₄	—	5	1	no	—
667	C₄×C₄⋊C₄	—	5	1	no	—
668	C₄×C₄⋊C₄	—	5	1	no	—
669	C₄×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
670	C₄×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
671	C₄×C₂²⋊C₄	—	5	1	no	—
672	C₄×C₂²⋊C₄	—	5	1	no	—
673	C₄×C₂²⋊C₄	—	5	1	no	—
674	C₄×C₂²⋊C₄	—	5	1	no	—
675	C₄×C₂²⋊C₄	—	5	1	no	—
676	C₄×C₂²⋊C₄	—	5	1	no	—
677	C₄×C₂²⋊C₄	—	5	1	no	—
678	C₄×C₂²⋊C₄	—	5	1	no	—
679	C₄×C₂²⋊C₄	—	5	1	no	—
680	C₄×C₂²⋊C₄	—	5	1	no	—
681	C₄×C₂²⋊C₄	—	5	1	no	—
682	C₄×C₂²⋊C₄	—	5	1	no	—
683	#376	—	5	1	no	—
684	#376	—	5	1	no	—
685	#376	—	5	1	no	—
686	#376	—	5	1	no	—
687	C₂×#95	—	5	1	no	—
688	C₂×#95	—	5	1	no	—
689	C₄³	—	5	1	no	—
690	C₂³×C₅	C₂⁵	1	1	yes	characteristic
691	C₂²×D₅	—	2	1	no	—
692	C₂²×D₅	—	2	1	no	—
693	C₂²×D₅	—	2	1	no	—
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	C₂×#41	1	2	yes	—
702	C₂²×D₅	C₂×#41	1	2	yes	—
703	C₂²×D₅	C₂×#41	1	2	yes	—
704	C₂²×D₅	C₂×#41	1	2	yes	—
705	C₂×C₄×C₅	—	2	1	no	—
706	C₂×C₄×C₅	—	2	1	no	—
707	C₂×C₄×C₅	—	2	1	no	—
708	C₂×C₄×C₅	—	2	1	no	—
709	C₂×C₄×C₅	—	2	1	no	—
710	C₂×C₄×C₅	—	2	1	no	—
711	C₂×C₄×C₅	—	2	1	no	—
712	C₂×C₄×C₅	—	2	1	no	—
713	C₂×C₄×C₅	—	2	1	no	—
714	C₂×C₄×C₅	—	2	1	no	—
715	C₂×C₄×C₅	—	2	1	no	—
716	C₂×C₄×C₅	—	2	1	no	—
717	C₂×C₄×C₅	—	2	1	no	—
718	C₂×C₄×C₅	—	2	1	no	—
719	C₂×C₄×C₅	—	2	1	no	—
720	C₂×C₄×C₅	—	2	1	no	—
721	C₂×C₄×C₅	—	2	1	no	—
722	C₂×C₄×C₅	—	2	1	no	—
723	C₂×C₄×C₅	—	2	1	no	—
724	C₂×C₄×C₅	—	2	1	no	—
725	C₂×C₄×C₅	—	2	1	no	—
726	C₂×C₄×C₅	—	2	1	no	—
727	C₂×C₄×C₅	—	2	1	no	—
728	C₂×C₄×C₅	—	2	1	no	—
729	C₂×C₄×C₅	—	2	1	no	—
730	C₂×C₄×C₅	—	2	1	no	—
731	C₂×C₄×C₅	—	2	1	no	—
732	C₂×C₄×C₅	—	2	1	no	—
733	C₂×C₄×C₅	—	2	1	no	—
734	C₂×C₄×C₅	—	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	C₂×#41	1	2	yes	—
746	C₂×C₄×C₅	C₂×#41	1	2	yes	—
747	C₂×C₄×C₅	C₂×#41	1	2	yes	—
748	C₂×C₄×C₅	C₂×#41	1	2	yes	—
749	C₂×C₄×C₅	C₂×#41	1	2	yes	—
750	C₂×Dic₅	—	2	1	no	—
751	C₂×Dic₅	—	2	1	no	—
752	C₂×Dic₅	—	2	1	no	—
753	C₂×Dic₅	—	2	1	no	—
754	C₂×Dic₅	—	2	1	no	—
755	C₂×Dic₅	—	2	1	no	—
756	C₂×Dic₅	—	2	1	no	—
757	C₂×Dic₅	—	2	1	no	—
758	C₂×Dic₅	—	2	1	no	—
759	C₂×Dic₅	—	2	1	no	—
760	C₂×Dic₅	—	2	1	no	—
761	C₂×Dic₅	—	2	1	no	—
762	C₂×Dic₅	—	2	1	no	—
763	C₂×Dic₅	—	2	1	no	—
764	C₂×Dic₅	—	2	1	no	—
765	C₂×Dic₅	—	2	1	no	—
766	C₂×Dic₅	—	2	1	no	—
767	C₂×Dic₅	—	2	1	no	—
768	C₂×Dic₅	—	2	1	no	—
769	C₂×Dic₅	—	2	1	no	—
770	C₂×Dic₅	—	2	1	no	—
771	C₂×Dic₅	—	2	1	no	—
772	C₂×Dic₅	—	2	1	no	—
773	C₂×Dic₅	—	2	1	no	—
774	C₂×Dic₅	—	2	1	no	—
775	C₂×Dic₅	—	2	1	no	—
776	C₂×Dic₅	—	2	1	no	—
777	C₂×Dic₅	—	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	C₂×#41	1	2	yes	—
786	C₂×Dic₅	C₂×#41	1	2	yes	—
787	C₂×Dic₅	C₂×#41	1	2	yes	—
788	C₂×Dic₅	C₂×#41	1	2	yes	—
789	C₂×Dic₅	C₂×#41	1	2	yes	—
790	C₂×Dic₅	C₂×#41	1	2	yes	—
791	C₂×Dic₅	2₋¹⁺⁴	1	2	yes	—
792	D₂₀	—	2	8	no	—
793	C₄×D₅	—	2	8	no	—
794	C₄×D₅	—	2	8	no	—
795	C₄×D₅	—	4	4	no	—
796	C₄×D₅	—	4	4	no	—
797	C₄×D₅	—	4	4	no	—
798	C₄×D₅	—	4	4	no	—
799	C₄×D₅	—	4	4	no	—
800	C₄×D₅	—	4	4	no	—
801	C₄×D₅	—	4	4	no	—
802	C₄×D₅	—	4	4	no	—
803	Dic₁₀	—	4	4	no	—
804	C₂²×Q₈	—	5	1	no	—
805	C₂²×D₄	—	5	1	no	—
806	C₂³×C₄	—	5	1	no	—
807	C₂³×C₄	—	5	1	no	—
808	C₂³×C₄	—	5	1	no	—
809	C₂³×C₄	—	5	1	no	—
810	C₂³×C₄	—	5	1	no	—
811	C₂³×C₄	—	5	1	no	—
812	C₂³×C₄	—	5	1	no	—
813	C₂³×C₄	—	5	1	no	—
814	C₂³×C₄	—	5	1	no	—
815	C₂³×C₄	—	5	1	no	—
816	#125	—	10	4	no	—
817	#123	—	10	4	no	—
818	#123	—	10	4	no	—
819	C₂²⋊Q₈	—	10	4	no	—
820	C₂²⋊Q₈	—	10	4	no	—
821	C₄×Q₈	—	10	4	no	—
822	C₄×D₄	—	10	4	no	—
823	C₄×D₄	—	10	4	no	—
824	C₄×D₄	—	10	4	no	—
825	C₂×C₄⋊C₄	—	5	1	no	—
826	C₂×C₄⋊C₄	—	5	1	no	—
827	C₂×C₄⋊C₄	—	5	1	no	—
828	C₂×C₄⋊C₄	—	5	1	no	—
829	C₂×C₄⋊C₄	—	5	1	no	—
830	C₂×C₄⋊C₄	—	5	1	no	—
831	C₂×C₄⋊C₄	—	5	1	no	—
832	C₂×C₄⋊C₄	—	5	1	no	—
833	C₂×C₄⋊C₄	—	5	1	no	—
834	C₂×C₄⋊C₄	—	5	1	no	—
835	C₂×C₄⋊C₄	—	5	1	no	—
836	C₂×C₄⋊C₄	—	5	1	no	—
837	C₂×C₄⋊C₄	—	5	1	no	—
838	C₂×C₄⋊C₄	—	5	1	no	—
839	C₂×C₄⋊C₄	—	5	1	no	—
840	C₂×C₄⋊C₄	—	5	1	no	—
841	C₂×C₄⋊C₄	—	5	1	no	—
842	C₂×C₄⋊C₄	—	5	1	no	—
843	C₂×C₄⋊C₄	—	5	1	no	—
844	C₂×C₄⋊C₄	—	5	1	no	—
845	C₂×C₄⋊C₄	—	5	1	no	—
846	C₂×C₄⋊C₄	—	5	1	no	—
847	C₂×C₄⋊C₄	—	5	1	no	—
848	C₂×C₄⋊C₄	—	5	1	no	—
849	C₂×C₄⋊C₄	—	5	1	no	—
850	C₂×C₄⋊C₄	—	5	1	no	—
851	C₂×C₄⋊C₄	—	10	4	no	—
852	C₂×C₄⋊C₄	—	10	4	no	—
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×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
862	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
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×C₄²	—	5	1	no	—
882	C₂×C₄²	—	5	1	no	—
883	C₂×C₄²	—	5	1	no	—
884	C₂×C₄²	—	5	1	no	—
885	C₂×C₄²	—	5	1	no	—
886	C₂×C₄²	—	5	1	no	—
887	C₂×C₄²	—	5	1	no	—
888	C₂×C₄²	—	5	1	no	—
889	C₂×C₄²	—	5	1	no	—
890	C₂×C₄²	—	5	1	no	—
891	C₂×C₄²	—	5	1	no	—
892	C₂×C₄²	—	5	1	no	—
893	C₂×C₄²	—	5	1	no	—
894	C₂×C₄²	—	5	1	no	—
895	C₂×C₄²	—	5	1	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	—	10	4	no	—
902	C₂×C₄²	—	10	4	no	—
903	C₂×C₄²	—	10	4	no	—
904	C₂×C₄²	—	10	4	no	—
905	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
953	#95	—	5	1	no	—
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	#95	C₂²×D₅	1	1	yes	characteristic
965	#95	C₂²×D₅	1	1	yes	characteristic
966	#95	C₂²×D₅	1	1	yes	characteristic
967	#95	C₂²×D₅	1	1	yes	characteristic
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	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
975	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
976	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
977	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
978	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
979	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
980	C₂²×C₅	#585	1	1	yes	characteristic
981	C₂×D₅	—	2	2	no	—
982	C₂×D₅	—	2	2	no	—
983	C₂×D₅	—	2	2	no	—
984	C₂×D₅	—	2	2	no	—
985	C₂×D₅	—	2	2	no	—
986	C₂×D₅	—	2	2	no	—
987	C₂×D₅	—	2	2	no	—
988	C₂×D₅	—	2	2	no	—
989	C₂×D₅	—	2	2	no	—
990	C₂×D₅	—	4	1	no	—
991	C₂×D₅	—	4	1	no	—
992	C₂×D₅	—	4	1	no	—
993	C₂×D₅	—	4	1	no	—
994	C₂×D₅	#529	1	4	yes	—
995	C₄×C₅	—	2	2	no	—
996	C₄×C₅	—	2	2	no	—
997	C₄×C₅	—	2	2	no	—
998	C₄×C₅	—	2	2	no	—
999	C₄×C₅	—	2	2	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	C₄×C₅	—	4	1	no	—
1007	C₄×C₅	—	4	1	no	—
1008	C₄×C₅	—	4	1	no	—
1009	C₄×C₅	—	4	1	no	—
1010	Dic₅	—	2	2	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	Dic₅	—	4	1	no	—
1021	Dic₅	—	4	1	no	—
1022	Dic₅	#529	1	4	yes	—
1023	Dic₅	#552	1	4	yes	—
1024	C₂⁴	—	5	1	no	—
1025	C₂⁴	—	5	1	no	—
1026	C₂×Q₈	—	10	2	no	—
1027	C₂×Q₈	—	10	2	no	—
1028	C₂×Q₈	—	10	2	no	—
1029	C₂×D₄	—	5	4	no	—
1030	C₂×D₄	—	10	2	no	—
1031	C₂×D₄	—	10	2	no	—
1032	C₂²×C₄	—	5	1	no	—
1033	C₂²×C₄	—	5	1	no	—
1034	C₂²×C₄	—	5	1	no	—
1035	C₂²×C₄	—	5	4	no	—
1036	C₂²×C₄	—	5	4	no	—
1037	C₂²×C₄	—	5	1	no	—
1038	C₂²×C₄	—	5	1	no	—
1039	C₂²×C₄	—	5	1	no	—
1040	C₂²×C₄	—	5	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	—	10	2	no	—
1049	C₂²×C₄	—	10	2	no	—
1050	C₂²×C₄	—	10	2	no	—
1051	C₂²×C₄	—	10	2	no	—
1052	C₂²×C₄	—	10	2	no	—
1053	C₂²×C₄	—	10	2	no	—
1054	C₂²×C₄	—	10	2	no	—
1055	C₂²×C₄	—	10	2	no	—
1056	C₂²×C₄	—	10	2	no	—
1057	C₂²×C₄	—	10	2	no	—
1058	C₂²×C₄	—	10	2	no	—
1059	C₂²×C₄	—	10	2	no	—
1060	C₂²×C₄	—	10	2	no	—
1061	C₂²×C₄	—	10	2	no	—
1062	C₂²×C₄	—	10	2	no	—
1063	C₂²×C₄	—	10	2	no	—
1064	C₂²×C₄	—	10	2	no	—
1065	C₂²×C₄	—	10	2	no	—
1066	C₂²×C₄	—	10	2	no	—
1067	C₂²×C₄	—	10	2	no	—
1068	C₂²×C₄	—	10	2	no	—
1069	C₂²×C₄	—	10	2	no	—
1070	C₂²×C₄	—	10	2	no	—
1071	C₂²×C₄	—	10	2	no	—
1072	C₂²×C₄	—	20	1	no	—
1073	C₂²×C₄	—	20	1	no	—
1074	C₂²×C₄	—	20	1	no	—
1075	C₂²×C₄	—	20	1	no	—
1076	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1077	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1078	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1079	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1080	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1081	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1082	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1083	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1084	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1085	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1086	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1087	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1088	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1089	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1090	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1091	C₄⋊C₄	—	2	2	no	—
1092	C₄⋊C₄	—	2	2	no	—
1093	C₄⋊C₄	—	2	2	no	—
1094	C₄⋊C₄	—	2	2	no	—
1095	C₄⋊C₄	—	2	2	no	—
1096	C₄⋊C₄	—	2	2	no	—
1097	C₄⋊C₄	—	2	2	no	—
1098	C₄⋊C₄	—	2	2	no	—
1099	C₄⋊C₄	—	2	2	no	—
1100	C₄⋊C₄	—	2	2	no	—
1101	C₄⋊C₄	—	5	4	no	—
1102	C₄⋊C₄	—	10	2	no	—
1103	C₄⋊C₄	—	10	2	no	—
1104	C₄⋊C₄	—	10	2	no	—
1105	C₄⋊C₄	—	10	2	no	—
1106	C₄⋊C₄	—	10	2	no	—
1107	C₄⋊C₄	—	10	2	no	—
1108	C₄⋊C₄	—	10	2	no	—
1109	C₄⋊C₄	—	10	2	no	—
1110	C₄⋊C₄	—	10	2	no	—
1111	C₄⋊C₄	—	10	2	no	—
1112	C₄⋊C₄	—	10	2	no	—
1113	C₄⋊C₄	—	10	2	no	—
1114	C₄⋊C₄	—	10	2	no	—
1115	C₄⋊C₄	—	10	2	no	—
1116	C₄⋊C₄	—	10	2	no	—
1117	C₄⋊C₄	—	10	2	no	—
1118	C₄⋊C₄	—	10	2	no	—
1119	C₄⋊C₄	—	20	1	no	—
1120	C₄⋊C₄	—	20	1	no	—
1121	C₄⋊C₄	—	20	1	no	—
1122	C₄⋊C₄	—	20	1	no	—
1123	C₄⋊C₄	—	20	1	no	—
1124	C₄⋊C₄	—	20	1	no	—
1125	C₄⋊C₄	—	20	1	no	—
1126	C₄⋊C₄	—	20	1	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	—	10	2	no	—
1133	C₂²⋊C₄	—	10	2	no	—
1134	C₂²⋊C₄	—	10	2	no	—
1135	C₂²⋊C₄	—	10	2	no	—
1136	C₂²⋊C₄	—	10	2	no	—
1137	C₂²⋊C₄	—	10	2	no	—
1138	C₂²⋊C₄	—	10	2	no	—
1139	C₂²⋊C₄	—	10	2	no	—
1140	C₂²⋊C₄	—	10	2	no	—
1141	C₂²⋊C₄	—	10	2	no	—
1142	C₂²⋊C₄	—	10	2	no	—
1143	C₂²⋊C₄	—	20	1	no	—
1144	C₂²⋊C₄	—	20	1	no	—
1145	C₄²	—	2	2	no	—
1146	C₄²	—	2	2	no	—
1147	C₄²	—	2	2	no	—
1148	C₄²	—	2	2	no	—
1149	C₄²	—	2	2	no	—
1150	C₄²	—	5	4	no	—
1151	C₄²	—	10	2	no	—
1152	C₄²	—	10	2	no	—
1153	C₄²	—	10	2	no	—
1154	C₄²	—	10	2	no	—
1155	C₄²	—	10	2	no	—
1156	C₄²	—	10	2	no	—
1157	C₄²	—	10	2	no	—
1158	C₄²	—	10	2	no	—
1159	C₄²	—	10	2	no	—
1160	C₄²	—	10	2	no	—
1161	C₄²	—	10	2	no	—
1162	C₄²	—	10	2	no	—
1163	C₄²	—	10	2	no	—
1164	C₄²	—	10	2	no	—
1165	C₄²	—	10	2	no	—
1166	C₄²	—	10	2	no	—
1167	C₄²	—	10	2	no	—
1168	C₄²	—	10	2	no	—
1169	C₄²	—	20	1	no	—
1170	C₂×C₅	C₂×#529	1	1	yes	characteristic
1171	C₂×C₅	C₂×#529	1	1	yes	characteristic
1172	C₂×C₅	#3461	1	1	yes	characteristic
1173	C₂×C₅	C₂×#552	1	1	yes	characteristic
1174	C₂×C₅	#3475	1	1	yes	characteristic
1175	C₂×C₅	#3475	1	1	yes	characteristic
1176	C₂×C₅	#3482	1	1	yes	characteristic
1177	D₅	—	2	4	no	—
1178	D₅	—	4	2	no	—
1179	C₂³	—	5	2	no	—
1180	C₂³	—	5	2	no	—
1181	C₂³	—	5	2	no	—
1182	C₂³	—	5	2	no	—
1183	C₂³	—	10	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	C₂⁴×D₅	1	1	yes	characteristic
1194	Q₈	—	20	4	no	—
1195	D₄	—	10	8	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	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	—	5	2	no	—
1237	C₂×C₄	—	5	2	no	—
1238	C₂×C₄	—	5	2	no	—
1239	C₂×C₄	—	5	2	no	—
1240	C₂×C₄	—	5	2	no	—
1241	C₂×C₄	—	5	2	no	—
1242	C₂×C₄	—	5	2	no	—
1243	C₂×C₄	—	10	8	no	—
1244	C₂×C₄	—	10	8	no	—
1245	C₂×C₄	—	10	1	no	—
1246	C₂×C₄	—	10	1	no	—
1247	C₂×C₄	—	10	1	no	—
1248	C₂×C₄	—	10	1	no	—
1249	C₂×C₄	—	10	1	no	—
1250	C₂×C₄	—	10	1	no	—
1251	C₂×C₄	—	10	1	no	—
1252	C₂×C₄	—	10	1	no	—
1253	C₂×C₄	—	10	1	no	—
1254	C₂×C₄	—	10	1	no	—
1255	C₂×C₄	—	10	1	no	—
1256	C₂×C₄	—	10	1	no	—
1257	C₂×C₄	—	10	1	no	—
1258	C₂×C₄	—	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	—	20	4	no	—
1281	C₂×C₄	—	20	4	no	—
1282	C₂×C₄	—	20	4	no	—
1283	C₂×C₄	—	20	4	no	—
1284	C₂×C₄	—	20	4	no	—
1285	C₂×C₄	—	20	4	no	—
1286	C₂×C₄	—	20	4	no	—
1287	C₂×C₄	—	20	4	no	—
1288	C₂×C₄	D₅×#41	1	2	yes	—
1289	C₂×C₄	D₅×#41	1	2	yes	—
1290	C₂×C₄	D₅×#41	1	2	yes	—
1291	C₂×C₄	D₅×#41	1	2	yes	—
1292	C₂×C₄	D₅×#41	1	2	yes	—
1293	C₅	#34780	1	1	yes	characteristic, complemented, Sylow
1294	C₂²	—	5	4	no	—
1295	C₂²	—	10	2	no	—
1296	C₂²	—	10	2	no	—
1297	C₂²	—	10	2	no	—
1298	C₂²	—	10	2	no	—
1299	C₂²	—	10	2	no	—
1300	C₂²	—	10	2	no	—
1301	C₂²	—	10	2	no	—
1302	C₂²	—	10	2	no	—
1303	C₂²	—	10	2	no	—
1304	C₂²	—	20	1	no	—
1305	C₂²	—	20	1	no	—
1306	C₂²	—	20	1	no	—
1307	C₂²	—	20	1	no	—
1308	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1309	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1310	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1311	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1312	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1313	C₂²	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1314	C₂²	#66287	1	1	yes	characteristic
1315	C₄	—	2	2	no	—
1316	C₄	—	2	2	no	—
1317	C₄	—	2	2	no	—
1318	C₄	—	2	2	no	—
1319	C₄	—	2	2	no	—
1320	C₄	—	4	1	no	—
1321	C₄	—	4	1	no	—
1322	C₄	—	4	1	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	—	5	4	no	—
1331	C₄	—	5	4	no	—
1332	C₄	—	10	2	no	—
1333	C₄	—	20	1	no	—
1334	C₄	—	20	1	no	—
1335	C₄	—	20	1	no	—
1336	C₄	—	20	1	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	C₂	—	10	4	no	—
1345	C₂	—	20	2	no	—
1346	C₂	D₅×#529	1	1	yes	characteristic
1347	C₂	D₅×#529	1	1	yes	characteristic
1348	C₂	#10618397	1	1	yes	characteristic
1349	C₂	#10618727	1	1	yes	characteristic
1350	C₂	#10618728	1	1	yes	characteristic
1351	C₂	D₅×#552	1	1	yes	characteristic
1352	C₂	#10618882	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅
commutator, socle, cosocle	C₂³×C₅	C₂⁵
Fitting	C₅×#2524	C₂
prime radical	C₂²×D₂₀	C₂³
hypercenter	#2524	D₅
hypocenter	C₅	#34780
LCS	G ▷ C₂³×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ #2524

Complements

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

N	H ≅ G/N	type
1. C₅×#2524	C₂	semidirect
2. #10609883	C₂	semidirect
3. #10609866	C₂	semidirect
4. #10609863	C₂	semidirect
5. #10609863	C₂	semidirect
8. #10609472	C₂	semidirect
9. #10609472	C₂	semidirect
10. #10607074	C₂	semidirect
11. #10607068	C₂	semidirect
14. #10606763	C₂	semidirect
15. #10606759	C₂	semidirect
16. #10606674	C₂	semidirect
17. #10606672	C₂	semidirect
18. #10606672	C₂	semidirect
21. #10606669	C₂	semidirect
22. #10606031	C₂	semidirect
23. #10605997	C₂	semidirect
24. #10605989	C₂	semidirect
25. #10605989	C₂	semidirect
26. #10605895	C₂	semidirect
27. #10605878	C₂	semidirect
28. #10605525	C₂	semidirect
29. C₄×D₅×C₄⋊C₄	C₂	semidirect
30. #10605433	C₂	semidirect
359. #2524	D₅	semidirect
1293. C₅	#34780	semidirect

Maximal subgroups

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

subgroup	index
C₅×#2524	2
#10609883	2
#10609866	2
#10609863	2
#10609495	2
#10609473	2
#10609472	2
#10607074	2
#10607068	2
#10607047	2
#10607046	2
#10606763	2
#10606759	2
#10606674	2
#10606672	2
#10606671	2
#10606669	2
#10606031	2
#10605997	2
#10605989	2
#10605895	2
#10605878	2
#10605525	2
C₄×D₅×C₄⋊C₄	2
#10605433	2
C₄×#4039	2
#34780	5