Subgroups — #12263596

Order 1280.

2082 conjugacy classes of subgroups.

The subgroup lattice has 1432 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#65916	C₂	1	1	yes	maximal, characteristic
2	C₅×#2356	C₂	1	1	yes	maximal, characteristic, complemented
3	#10614193	C₂	1	1	yes	maximal, characteristic, complemented
4	#10608348	C₂	1	1	yes	maximal, characteristic, complemented
5	#10608347	C₂	1	1	yes	maximal, characteristic, complemented
6	#10608219	C₂	1	1	yes	maximal, characteristic, complemented
7	#10608219	C₂	1	1	yes	maximal, characteristic, complemented
8	#10607038	C₂	1	1	yes	maximal, characteristic, complemented
9	#10607032	C₂	1	1	yes	maximal, characteristic, complemented
10	#10607029	C₂	1	1	yes	maximal, characteristic
11	#10606708	C₂	1	1	yes	maximal, characteristic, complemented
12	#10606706	C₂	1	1	yes	maximal, characteristic, complemented
13	#10606698	C₂	1	1	yes	maximal, characteristic, complemented
14	#10606683	C₂	1	1	yes	maximal, characteristic
15	#10606672	C₂	1	1	yes	maximal, characteristic, complemented
16	#10606030	C₂	1	1	yes	maximal, characteristic, complemented
17	#10606026	C₂	1	1	yes	maximal, characteristic, complemented
18	#10605994	C₂	1	1	yes	maximal, characteristic, complemented
19	#10605993	C₂	1	1	yes	maximal, characteristic, complemented
20	#10605961	C₂	1	1	yes	maximal, characteristic, complemented
21	#10605886	C₂	1	1	yes	maximal, characteristic, complemented
22	#10605506	C₂	1	1	yes	maximal, characteristic, complemented
23	#10605496	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#4040	C₂	1	1	yes	maximal, characteristic, complemented
25	#10605385	C₂	1	1	yes	maximal, characteristic, complemented
26	#10605379	C₂	1	1	yes	maximal, characteristic, complemented
27	#10605359	C₂	1	1	yes	maximal, characteristic, complemented
28	#10605147	C₂	1	1	yes	maximal, characteristic, complemented
29	#10605145	C₂	1	1	yes	maximal, characteristic, complemented
30	#10605127	C₂	1	1	yes	maximal, characteristic, complemented
31	#10605118	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
33	C₂×#4093	C₂²	1	1	yes	characteristic
34	C₂×#4092	C₂²	1	1	yes	characteristic
35	#65916	C₄	1	16	yes	complemented
36	C₂×#4042	C₂²	1	1	yes	characteristic
37	C₂×#4042	C₂²	1	1	yes	characteristic
38	C₂×#4041	C₂²	1	1	yes	characteristic
39	C₂×#4040	C₂²	1	1	yes	characteristic
40	C₂×#4040	C₂²	1	1	yes	characteristic
41	C₂×#4039	C₂²	1	1	yes	characteristic
42	C₂×#4034	C₂²	1	1	yes	characteristic
43	C₂×#4033	C₂²	1	1	yes	characteristic
44	C₂×#4022	C₂²	1	1	yes	characteristic
45	C₂×#4022	C₂²	1	1	yes	characteristic
46	C₂×#4021	C₂²	1	1	yes	characteristic
47	C₂×#4021	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic
50	C₂×#4018	C₂²	1	1	yes	characteristic
51	C₂×#4018	C₂²	1	1	yes	characteristic
52	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
53	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic
54	C₅×#391	C₂²	1	1	yes	characteristic
55	C₅×#391	C₂²	1	1	yes	characteristic
56	C₅×#387	C₂²	1	1	yes	characteristic
57	C₅×#387	C₂²	1	1	yes	characteristic
58	C₅×#387	C₂²	1	1	yes	characteristic
59	C₅×#387	C₂²	1	1	yes	characteristic
60	C₅×#383	C₂²	1	1	yes	characteristic
61	C₅×#383	C₂²	1	1	yes	characteristic
62	C₅×#382	C₂²	1	1	yes	characteristic
63	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
64	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
65	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
66	C₅×#376	C₂²	1	1	yes	characteristic
67	C₅×#376	C₂²	1	1	yes	characteristic
68	#65519	C₂²	1	1	yes	characteristic
69	#65519	C₂²	1	1	yes	characteristic
70	#65279	C₂²	1	1	yes	characteristic
71	#65279	C₂²	1	1	yes	characteristic
72	#65279	C₂²	1	1	yes	characteristic
73	#65279	C₂²	1	1	yes	characteristic
74	#65278	C₂²	1	1	yes	characteristic
75	#65278	C₂²	1	1	yes	characteristic
76	#65278	C₂²	1	1	yes	characteristic
77	#65278	C₂²	1	1	yes	characteristic
78	#65277	C₂²	1	1	yes	characteristic
79	#65270	C₂²	1	1	yes	characteristic
80	#65270	C₂²	1	1	yes	characteristic
81	#65270	C₂²	1	1	yes	characteristic
82	#65270	C₂²	1	1	yes	characteristic
83	#65267	C₂²	1	1	yes	characteristic
84	#65267	C₂²	1	1	yes	characteristic
85	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
86	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
87	#65263	C₂²	1	1	yes	characteristic
88	#65261	C₂²	1	1	yes	characteristic
89	#65261	C₂²	1	1	yes	characteristic
90	#65229	C₂²	1	1	yes	characteristic
91	#65229	C₂²	1	1	yes	characteristic
92	#65229	C₂²	1	1	yes	characteristic
93	#65229	C₂²	1	1	yes	characteristic
94	#65228	C₂²	1	1	yes	characteristic
95	C₄×#685	C₂²	1	1	yes	characteristic
96	C₄×#685	C₂²	1	1	yes	characteristic
97	C₄×#685	C₂²	1	1	yes	characteristic
98	C₄×#685	C₂²	1	1	yes	characteristic
99	C₄×#685	C₂²	1	1	yes	characteristic
100	C₄×#685	C₂²	1	1	yes	characteristic
101	C₄×#685	C₂²	1	1	yes	characteristic
102	C₄×#685	C₂²	1	1	yes	characteristic
103	#65225	C₂²	1	1	yes	characteristic
104	#65225	C₂²	1	1	yes	characteristic
105	#65224	C₂²	1	1	yes	characteristic
106	C₄×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
107	C₄×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
108	C₄×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
109	#65222	C₂²	1	1	yes	characteristic
110	#65222	C₂²	1	1	yes	characteristic
111	#65222	C₂²	1	1	yes	characteristic
112	#65222	C₂²	1	1	yes	characteristic
113	C₄×#683	C₂²	1	1	yes	characteristic
114	C₄×#683	C₂²	1	1	yes	characteristic
115	#65218	C₂²	1	1	yes	characteristic
116	#64959	C₂²	1	1	yes	characteristic
117	#64959	C₂²	1	1	yes	characteristic
118	#64959	C₂²	1	1	yes	characteristic
119	#64959	C₂²	1	1	yes	characteristic
120	#64959	C₂²	1	1	yes	characteristic
121	#64959	C₂²	1	1	yes	characteristic
122	#64959	C₂²	1	1	yes	characteristic
123	#64959	C₂²	1	1	yes	characteristic
124	#64959	C₂²	1	1	yes	characteristic
125	#64959	C₂²	1	1	yes	characteristic
126	#64958	C₂²	1	1	yes	characteristic
127	#64958	C₂²	1	1	yes	characteristic
128	#64958	C₂²	1	1	yes	characteristic
129	#64958	C₂²	1	1	yes	characteristic
130	#64958	C₂²	1	1	yes	characteristic
131	#64958	C₂²	1	1	yes	characteristic
132	#64957	C₂²	1	1	yes	characteristic
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
140	#64957	C₂²	1	1	yes	characteristic
141	#64957	C₂²	1	1	yes	characteristic
142	#64956	C₂²	1	1	yes	characteristic
143	#64956	C₂²	1	1	yes	characteristic
144	#64955	C₂²	1	1	yes	characteristic
145	#64955	C₂²	1	1	yes	characteristic
146	#64955	C₂²	1	1	yes	characteristic
147	#64955	C₂²	1	1	yes	characteristic
148	#64955	C₂²	1	1	yes	characteristic
149	#64955	C₂²	1	1	yes	characteristic
150	#64954	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	#64954	C₂²	1	1	yes	characteristic
158	#64953	C₂²	1	1	yes	characteristic
159	#64953	C₂²	1	1	yes	characteristic
160	D₅×#95	C₂²	1	1	yes	characteristic
161	D₅×#95	C₂²	1	1	yes	characteristic
162	#64944	C₂²	1	1	yes	characteristic
163	#64944	C₂²	1	1	yes	characteristic
164	#64944	C₂²	1	1	yes	characteristic
165	#64944	C₂²	1	1	yes	characteristic
166	#64943	C₂²	1	1	yes	characteristic
167	#64943	C₂²	1	1	yes	characteristic
168	#64942	C₂²	1	1	yes	characteristic
169	#64942	C₂²	1	1	yes	characteristic
170	#64941	C₂²	1	1	yes	characteristic
171	#64941	C₂²	1	1	yes	characteristic
172	#64940	C₂²	1	1	yes	characteristic
173	#64940	C₂²	1	1	yes	characteristic
174	#64938	C₂²	1	1	yes	characteristic
175	#64938	C₂²	1	1	yes	characteristic
176	#64938	C₂²	1	1	yes	characteristic
177	#64938	C₂²	1	1	yes	characteristic
178	#64938	C₂²	1	1	yes	characteristic
179	#64938	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	#64936	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	#64935	C₂²	1	1	yes	characteristic
188	#34448	—	5	1	no	maximal, Sylow
189	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
190	C₂²×D₂₀	C₂³	1	1	yes	characteristic
191	C₂²×D₂₀	C₂³	1	1	yes	characteristic
192	C₂²×D₂₀	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×C₄×D₅	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
202	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
203	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
204	C₄×C₅×Q₈	C₂×C₄	1	8	yes	complemented
205	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×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×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×C₄²×C₅	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
221	#4093	C₂×C₄	1	8	yes	complemented
222	#4092	C₂×C₄	1	8	yes	complemented
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×#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	C₂×#685	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
257	C₂×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×C₄×Dic₅	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
295	#4042	C₂×C₄	1	8	yes	complemented
296	#4042	C₂×C₄	1	8	yes	complemented
297	#4041	C₂×C₄	1	8	yes	—
298	#4040	C₂×C₄	1	8	yes	complemented
299	#4040	C₂×C₄	1	8	yes	complemented
300	#4039	—	4	2	no	—
301	#4034	C₂×C₄	1	8	yes	complemented
302	#4033	—	4	2	no	—
303	#4022	C₂×C₄	1	8	yes	complemented
304	#4022	C₂×C₄	1	8	yes	complemented
305	#4021	C₂×C₄	1	8	yes	complemented
306	#4021	C₂×C₄	1	8	yes	complemented
307	C₄×D₂₀	—	4	2	no	—
308	C₄×D₂₀	C₂×C₄	1	8	yes	complemented
309	#4018	—	4	2	no	—
310	#4018	C₂×C₄	1	8	yes	complemented
311	C₄²×D₅	—	4	2	no	—
312	C₄×Dic₁₀	—	4	2	no	—
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	C₅×#95	C₂³	1	1	yes	characteristic
325	C₅×#95	C₂³	1	1	yes	characteristic
326	C₅×#95	C₂³	1	1	yes	characteristic
327	C₅×#95	C₂³	1	1	yes	characteristic
328	C₅×#95	C₂³	1	1	yes	characteristic
329	C₅×#95	C₂³	1	1	yes	characteristic
330	C₅×#95	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	#3963	C₂³	1	1	yes	characteristic
365	C₂×#542	—	5	1	no	—
366	#2383	—	5	1	no	—
367	#2381	—	5	1	no	—
368	#2379	—	5	1	no	—
369	#2378	—	5	1	no	—
370	#2374	—	5	1	no	—
371	#2373	—	5	1	no	—
372	#2368	—	5	1	no	—
373	#2368	—	5	1	no	—
374	#2367	—	5	1	no	—
375	#2365	—	5	1	no	—
376	#2362	—	5	1	no	—
377	#2359	—	5	1	no	—
378	#2356	D₅	1	1	yes	characteristic, complemented
379	#2355	—	5	1	no	—
380	#2347	—	5	1	no	—
381	#2343	—	5	1	no	—
382	#2337	—	5	1	no	—
383	#2337	—	5	1	no	—
384	#2337	—	5	1	no	—
385	#2335	—	5	1	no	—
386	#2334	—	5	1	no	—
387	#2334	—	5	1	no	—
388	#2333	—	5	1	no	—
389	#2332	—	5	1	no	—
390	#2326	—	5	1	no	—
391	#2325	—	5	1	no	—
392	#2318	—	5	1	no	—
393	C₄×C₂²⋊Q₈	—	5	1	no	—
394	C₄×#123	—	5	1	no	—
395	#2290	—	5	1	no	—
396	C₂³×D₅	C₂⁴	1	1	yes	characteristic
397	C₂³×D₅	C₂⁴	1	1	yes	characteristic
398	C₂³×D₅	C₂⁴	1	1	yes	characteristic
399	C₂×C₅×Q₈	—	4	1	no	—
400	C₂×C₅×Q₈	—	4	1	no	—
401	C₂×C₅×Q₈	C₂²×C₄	1	4	yes	—
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	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
417	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
418	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
430	C₂×D₂₀	—	4	1	no	—
431	C₂×D₂₀	—	4	1	no	—
432	C₂×D₂₀	—	4	1	no	—
433	C₂×D₂₀	—	4	1	no	—
434	C₂×D₂₀	—	4	1	no	—
435	C₂×D₂₀	—	4	1	no	—
436	C₂×D₂₀	C₂²×C₄	1	4	yes	—
437	C₂×D₂₀	C₂²×C₄	1	4	yes	—
438	C₂×D₂₀	C₂²×C₄	1	4	yes	—
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	—	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	—	4	1	no	—
450	C₂×C₄×D₅	—	4	1	no	—
451	C₂×C₄×D₅	—	4	1	no	—
452	C₂×C₄×D₅	—	4	1	no	—
453	C₂×C₄×D₅	—	4	1	no	—
454	C₂×C₄×D₅	—	4	1	no	—
455	C₂×C₄×D₅	—	4	1	no	—
456	C₂×C₄×D₅	—	4	1	no	—
457	C₂×C₄×D₅	—	4	1	no	—
458	C₂×C₄×D₅	—	4	1	no	—
459	C₂×C₄×D₅	—	4	1	no	—
460	C₂×C₄×D₅	—	4	1	no	—
461	C₂×C₄×D₅	—	4	1	no	—
462	C₂×C₄×D₅	—	4	1	no	—
463	C₂×C₄×D₅	C₂²×C₄	1	4	yes	—
464	C₂×C₄×D₅	C₂²×C₄	1	4	yes	—
465	C₂×C₄×D₅	C₂²×C₄	1	4	yes	—
466	C₂×Dic₁₀	—	4	1	no	—
467	C₂×Dic₁₀	—	4	1	no	—
468	C₂×Dic₁₀	—	4	1	no	—
469	C₂×Dic₁₀	—	4	1	no	—
470	C₂×Dic₁₀	C₂²×C₄	1	4	yes	—
471	C₂×Dic₁₀	C₂²×C₄	1	4	yes	—
472	C₅×C₄⋊C₄	—	2	2	no	—
473	C₅×C₄⋊C₄	—	4	1	no	—
474	C₅×C₄⋊C₄	—	4	1	no	—
475	C₅×C₄⋊C₄	—	4	1	no	—
476	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
477	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
478	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	—
479	C₄²×C₅	—	2	2	no	—
480	C₄²×C₅	—	2	2	no	—
481	C₄²×C₅	—	4	1	no	—
482	C₄²×C₅	—	4	1	no	—
483	C₄²×C₅	—	4	1	no	—
484	C₄²×C₅	—	4	1	no	—
485	C₄²×C₅	C₂²×C₄	1	4	yes	—
486	C₄²×C₅	C₂²×C₄	1	4	yes	—
487	C₄²×C₅	C₂²×C₄	1	4	yes	—
488	#685	—	2	2	no	—
489	#685	—	2	2	no	—
490	#685	—	2	2	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	#685	—	4	1	no	—
501	#685	—	4	1	no	—
502	#685	—	4	1	no	—
503	#685	—	4	1	no	—
504	#685	—	4	1	no	—
505	#685	—	4	1	no	—
506	#685	C₂²×C₄	1	4	yes	—
507	#685	C₂²×C₄	1	4	yes	—
508	#685	C₂²×C₄	1	4	yes	—
509	#685	C₂²×C₄	1	4	yes	—
510	#685	C₂²×C₄	1	4	yes	—
511	#685	C₂²×C₄	1	4	yes	—
512	#685	C₂²×C₄	1	4	yes	—
513	#685	C₂²×C₄	1	4	yes	—
514	#685	C₂²×C₄	1	4	yes	—
515	#685	C₂²×C₄	1	4	yes	—
516	#685	C₂²×C₄	1	4	yes	—
517	#685	C₂²×C₄	1	4	yes	—
518	C₄⋊Dic₅	—	2	2	no	—
519	C₄⋊Dic₅	—	4	1	no	—
520	C₄⋊Dic₅	—	4	1	no	—
521	C₄⋊Dic₅	—	4	1	no	—
522	C₄⋊Dic₅	—	4	1	no	—
523	C₄⋊Dic₅	—	4	1	no	—
524	C₄⋊Dic₅	—	4	1	no	—
525	C₄⋊Dic₅	—	4	1	no	—
526	C₄⋊Dic₅	C₂²×C₄	1	4	yes	—
527	#683	—	2	2	no	—
528	#683	—	2	2	no	—
529	#683	—	2	2	no	—
530	#683	—	4	1	no	—
531	#683	—	4	1	no	—
532	#683	—	4	1	no	—
533	#683	—	4	1	no	—
534	#683	—	4	1	no	—
535	#683	—	4	1	no	—
536	#683	—	4	1	no	—
537	#683	C₂²×C₄	1	4	yes	—
538	#683	C₂²×C₄	1	4	yes	—
539	#683	C₂²×C₄	1	4	yes	—
540	#683	C₂²×C₄	1	4	yes	—
541	#683	C₂²×C₄	1	4	yes	—
542	#683	C₂²×C₄	1	4	yes	—
543	C₄×Dic₅	—	2	2	no	—
544	C₄×Dic₅	—	4	1	no	—
545	C₄×Dic₅	—	4	1	no	—
546	C₄×Dic₅	—	4	1	no	—
547	C₄×Dic₅	—	4	1	no	—
548	C₄×Dic₅	—	4	1	no	—
549	C₄×Dic₅	—	4	1	no	—
550	C₄×Dic₅	—	4	1	no	—
551	C₄×Dic₅	—	4	1	no	—
552	C₄×Dic₅	—	4	1	no	—
553	C₄×Dic₅	—	4	1	no	—
554	C₄×Dic₅	—	4	1	no	—
555	C₄×Dic₅	—	4	1	no	—
556	C₄×Dic₅	—	4	1	no	—
557	C₄×Dic₅	—	4	1	no	—
558	C₄×Dic₅	—	4	1	no	—
559	C₄×Dic₅	C₂²×C₄	1	4	yes	—
560	#542	—	5	16	no	—
561	C₂×C₄⋊Q₈	—	5	1	no	—
562	C₂×#126	—	5	1	no	—
563	C₂×#126	—	5	1	no	—
564	C₂×#124	—	5	1	no	—
565	C₂×#124	—	5	1	no	—
566	C₂×#124	—	5	1	no	—
567	C₂×#123	—	5	1	no	—
568	C₂×#123	—	5	1	no	—
569	C₂×C₂²⋊Q₈	—	5	1	no	—
570	C₂×C₂²⋊Q₈	—	5	1	no	—
571	C₂×C₂²⋊Q₈	—	5	1	no	—
572	C₂×#121	—	5	1	no	—
573	C₂×C₄×Q₈	—	5	1	no	—
574	C₂×C₄×Q₈	—	5	1	no	—
575	C₂×C₄×Q₈	C₂×D₅	1	1	yes	characteristic
576	C₂×C₄×D₄	—	5	1	no	—
577	C₂×C₄×D₄	—	5	1	no	—
578	C₂×C₄×D₄	—	5	1	no	—
579	C₂×#117	—	5	1	no	—
580	C₂×#117	—	5	1	no	—
581	C₂²×C₄²	—	5	1	no	—
582	#391	—	5	1	no	—
583	#391	—	5	1	no	—
584	#391	—	5	1	no	—
585	#391	—	5	1	no	—
586	#391	—	5	1	no	—
587	#391	—	5	1	no	—
588	#391	—	5	1	no	—
589	#391	—	5	1	no	—
590	#391	C₂×D₅	1	1	yes	characteristic
591	#391	C₂×D₅	1	1	yes	characteristic
592	#390	—	5	1	no	—
593	#390	—	5	1	no	—
594	#389	—	5	1	no	—
595	#389	—	5	1	no	—
596	#389	—	5	1	no	—
597	#389	—	5	1	no	—
598	#389	—	5	1	no	—
599	#389	—	5	1	no	—
600	#388	—	5	1	no	—
601	#388	—	5	1	no	—
602	#388	—	5	1	no	—
603	#388	—	5	1	no	—
604	#388	—	5	1	no	—
605	#388	—	5	1	no	—
606	#388	—	5	1	no	—
607	#388	—	5	1	no	—
608	#388	—	5	1	no	—
609	#388	—	5	1	no	—
610	#388	—	5	1	no	—
611	#388	—	5	1	no	—
612	#388	—	5	1	no	—
613	#388	—	5	1	no	—
614	#388	—	5	1	no	—
615	#388	—	5	1	no	—
616	#388	—	5	1	no	—
617	#388	—	5	1	no	—
618	#388	—	5	1	no	—
619	#388	—	5	1	no	—
620	#388	—	5	1	no	—
621	#388	—	5	1	no	—
622	#388	—	5	1	no	—
623	#388	—	5	1	no	—
624	#387	—	5	1	no	—
625	#387	—	5	1	no	—
626	#387	—	5	1	no	—
627	#387	—	5	1	no	—
628	#387	—	5	1	no	—
629	#387	—	5	1	no	—
630	#387	—	5	1	no	—
631	#387	—	5	1	no	—
632	#387	—	5	1	no	—
633	#387	—	5	1	no	—
634	#387	—	5	1	no	—
635	#387	—	5	1	no	—
636	#387	—	5	1	no	—
637	#387	—	5	1	no	—
638	#387	—	5	1	no	—
639	#387	—	5	1	no	—
640	#387	—	5	1	no	—
641	#387	—	5	1	no	—
642	#387	—	5	1	no	—
643	#387	—	5	1	no	—
644	#387	C₂×D₅	1	1	yes	characteristic
645	#387	C₂×D₅	1	1	yes	characteristic
646	#387	C₂×D₅	1	1	yes	characteristic
647	#387	C₂×D₅	1	1	yes	characteristic
648	#386	—	5	1	no	—
649	#386	—	5	1	no	—
650	#386	—	5	1	no	—
651	#386	—	5	1	no	—
652	#386	—	5	1	no	—
653	#386	—	5	1	no	—
654	#386	—	5	1	no	—
655	#386	—	5	1	no	—
656	#385	—	5	1	no	—
657	#385	—	5	1	no	—
658	#385	—	5	1	no	—
659	#385	—	5	1	no	—
660	#385	—	5	1	no	—
661	#385	—	5	1	no	—
662	#385	—	5	1	no	—
663	#385	—	5	1	no	—
664	#385	—	5	1	no	—
665	#385	—	5	1	no	—
666	#385	—	5	1	no	—
667	#385	—	5	1	no	—
668	#385	—	5	1	no	—
669	#385	—	5	1	no	—
670	#384	—	5	1	no	—
671	#383	—	5	1	no	—
672	#383	—	5	1	no	—
673	#383	C₂×D₅	1	1	yes	characteristic
674	#383	C₂×D₅	1	1	yes	characteristic
675	#382	—	5	1	no	—
676	#382	—	5	1	no	—
677	#382	C₂×D₅	1	1	yes	characteristic
678	#381	—	5	1	no	—
679	#381	—	5	1	no	—
680	#380	—	5	1	no	—
681	#380	—	5	1	no	—
682	C₄×C₄⋊C₄	—	5	1	no	—
683	C₄×C₄⋊C₄	—	5	1	no	—
684	C₄×C₄⋊C₄	—	5	1	no	—
685	C₄×C₄⋊C₄	—	5	1	no	—
686	C₄×C₄⋊C₄	—	5	1	no	—
687	C₄×C₄⋊C₄	—	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×C₄⋊C₄	—	5	1	no	—
692	C₄×C₄⋊C₄	—	5	1	no	—
693	C₄×C₄⋊C₄	—	5	1	no	—
694	C₄×C₄⋊C₄	—	5	1	no	—
695	C₄×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
696	C₄×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
697	C₄×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
698	C₄×C₂²⋊C₄	—	5	1	no	—
699	C₄×C₂²⋊C₄	—	5	1	no	—
700	C₄×C₂²⋊C₄	—	5	1	no	—
701	C₄×C₂²⋊C₄	—	5	1	no	—
702	C₄×C₂²⋊C₄	—	5	1	no	—
703	C₄×C₂²⋊C₄	—	5	1	no	—
704	C₄×C₂²⋊C₄	—	5	1	no	—
705	C₄×C₂²⋊C₄	—	5	1	no	—
706	C₄×C₂²⋊C₄	—	5	1	no	—
707	C₄×C₂²⋊C₄	—	5	1	no	—
708	C₄×C₂²⋊C₄	—	5	1	no	—
709	C₄×C₂²⋊C₄	—	5	1	no	—
710	C₄×C₂²⋊C₄	—	5	1	no	—
711	C₄×C₂²⋊C₄	—	5	1	no	—
712	#376	C₂×D₅	1	1	yes	characteristic
713	#376	C₂×D₅	1	1	yes	characteristic
714	C₂×#95	—	5	1	no	—
715	C₂×#95	—	5	1	no	—
716	C₂³×C₅	C₂⁵	1	1	yes	characteristic
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	—	2	1	no	—
725	C₂²×D₅	—	2	1	no	—
726	C₂²×D₅	—	2	1	no	—
727	C₂²×D₅	—	2	1	no	—
728	C₂²×D₅	—	2	1	no	—
729	C₂²×D₅	—	2	1	no	—
730	C₂²×D₅	—	2	1	no	—
731	C₂²×D₅	—	2	1	no	—
732	C₂²×D₅	—	2	1	no	—
733	C₂²×D₅	—	2	1	no	—
734	C₂²×D₅	—	2	1	no	—
735	C₂²×D₅	C₂³×C₄	1	2	yes	—
736	C₂²×D₅	C₂³×C₄	1	2	yes	—
737	C₂²×D₅	C₂³×C₄	1	2	yes	—
738	C₅×Q₈	—	4	4	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	—	2	1	no	—
765	C₂×C₄×C₅	—	2	1	no	—
766	C₂×C₄×C₅	—	2	1	no	—
767	C₂×C₄×C₅	—	2	1	no	—
768	C₂×C₄×C₅	—	2	1	no	—
769	C₂×C₄×C₅	—	2	1	no	—
770	C₂×C₄×C₅	—	2	1	no	—
771	C₂×C₄×C₅	—	2	1	no	—
772	C₂×C₄×C₅	—	2	1	no	—
773	C₂×C₄×C₅	—	2	1	no	—
774	C₂×C₄×C₅	—	2	1	no	—
775	C₂×C₄×C₅	—	2	1	no	—
776	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
777	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
778	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
779	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
780	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
781	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
782	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
783	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
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	—	2	1	no	—
812	C₂×Dic₅	—	2	1	no	—
813	C₂×Dic₅	—	2	1	no	—
814	C₂×Dic₅	—	2	1	no	—
815	C₂×Dic₅	—	2	1	no	—
816	C₂×Dic₅	—	2	1	no	—
817	C₂×Dic₅	C₂³×C₄	1	2	yes	—
818	C₂×Dic₅	C₂³×C₄	1	2	yes	—
819	C₂×Dic₅	C₂³×C₄	1	2	yes	—
820	C₂×Dic₅	C₂³×C₄	1	2	yes	—
821	C₂×Dic₅	C₂³×C₄	1	2	yes	—
822	C₂×Dic₅	2₋¹⁺⁴	1	2	yes	—
823	D₂₀	—	4	4	no	—
824	D₂₀	—	4	4	no	—
825	D₂₀	—	4	4	no	—
826	C₄×D₅	—	4	4	no	—
827	C₄×D₅	—	4	4	no	—
828	C₄×D₅	—	4	4	no	—
829	C₄×D₅	—	4	4	no	—
830	C₄×D₅	—	4	4	no	—
831	C₄×D₅	—	8	2	no	—
832	C₄×D₅	—	8	2	no	—
833	C₄×D₅	—	8	2	no	—
834	C₄×D₅	—	8	2	no	—
835	Dic₁₀	—	4	4	no	—
836	Dic₁₀	—	4	4	no	—
837	C₂²×Q₈	—	5	1	no	—
838	C₂²×Q₈	—	5	1	no	—
839	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
840	C₂²×D₄	—	5	1	no	—
841	C₂²×D₄	—	5	1	no	—
842	C₂²×D₄	—	5	1	no	—
843	C₂³×C₄	—	5	1	no	—
844	C₂³×C₄	—	5	1	no	—
845	C₂³×C₄	—	5	1	no	—
846	C₂³×C₄	—	5	1	no	—
847	C₂³×C₄	—	5	1	no	—
848	C₂³×C₄	—	5	1	no	—
849	C₂³×C₄	—	5	1	no	—
850	C₂³×C₄	—	5	1	no	—
851	C₂³×C₄	—	5	1	no	—
852	C₄⋊Q₈	—	5	8	no	—
853	#126	—	5	8	no	—
854	#126	—	5	8	no	—
855	#124	—	5	8	no	—
856	#124	—	5	8	no	—
857	#124	—	5	8	no	—
858	#123	—	5	8	no	—
859	#123	—	5	8	no	—
860	C₂²⋊Q₈	—	5	8	no	—
861	C₂²⋊Q₈	—	5	8	no	—
862	C₂²⋊Q₈	—	5	8	no	—
863	#121	—	5	8	no	—
864	C₄×Q₈	—	20	2	no	—
865	C₄×Q₈	—	20	2	no	—
866	C₄×Q₈	C₄×D₅	1	8	yes	complemented
867	C₄×D₄	—	5	8	no	—
868	C₄×D₄	—	20	2	no	—
869	C₄×D₄	—	20	2	no	—
870	#117	—	5	8	no	—
871	#117	—	20	2	no	—
872	C₂×C₄⋊C₄	—	5	1	no	—
873	C₂×C₄⋊C₄	—	5	1	no	—
874	C₂×C₄⋊C₄	—	5	1	no	—
875	C₂×C₄⋊C₄	—	5	1	no	—
876	C₂×C₄⋊C₄	—	5	1	no	—
877	C₂×C₄⋊C₄	—	5	1	no	—
878	C₂×C₄⋊C₄	—	5	1	no	—
879	C₂×C₄⋊C₄	—	5	1	no	—
880	C₂×C₄⋊C₄	—	5	1	no	—
881	C₂×C₄⋊C₄	—	5	1	no	—
882	C₂×C₄⋊C₄	—	5	1	no	—
883	C₂×C₄⋊C₄	—	5	1	no	—
884	C₂×C₄⋊C₄	—	5	1	no	—
885	C₂×C₄⋊C₄	—	5	1	no	—
886	C₂×C₄⋊C₄	—	5	1	no	—
887	C₂×C₄⋊C₄	—	5	1	no	—
888	C₂×C₄⋊C₄	—	5	1	no	—
889	C₂×C₄⋊C₄	—	5	1	no	—
890	C₂×C₄⋊C₄	—	5	1	no	—
891	C₂×C₄⋊C₄	—	5	1	no	—
892	C₂×C₄⋊C₄	—	5	1	no	—
893	C₂×C₄⋊C₄	—	5	1	no	—
894	C₂×C₄⋊C₄	—	5	1	no	—
895	C₂×C₄⋊C₄	—	5	1	no	—
896	C₂×C₄⋊C₄	—	5	1	no	—
897	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
898	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
899	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
900	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
901	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
902	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
903	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
904	C₂×C₂²⋊C₄	—	5	1	no	—
905	C₂×C₂²⋊C₄	—	5	1	no	—
906	C₂×C₂²⋊C₄	—	5	1	no	—
907	C₂×C₂²⋊C₄	—	5	1	no	—
908	C₂×C₂²⋊C₄	—	5	1	no	—
909	C₂×C₂²⋊C₄	—	5	1	no	—
910	C₂×C₂²⋊C₄	—	5	1	no	—
911	C₂×C₂²⋊C₄	—	5	1	no	—
912	C₂×C₂²⋊C₄	—	5	1	no	—
913	C₂×C₂²⋊C₄	—	5	1	no	—
914	C₂×C₂²⋊C₄	—	5	1	no	—
915	C₂×C₂²⋊C₄	—	5	1	no	—
916	C₂×C₂²⋊C₄	—	5	1	no	—
917	C₂×C₂²⋊C₄	—	5	1	no	—
918	C₂×C₂²⋊C₄	—	5	1	no	—
919	C₂×C₂²⋊C₄	—	5	1	no	—
920	C₂×C₂²⋊C₄	—	5	1	no	—
921	C₂×C₂²⋊C₄	—	5	1	no	—
922	C₂×C₂²⋊C₄	—	5	1	no	—
923	C₂×C₂²⋊C₄	—	5	1	no	—
924	C₂×C₂²⋊C₄	—	5	1	no	—
925	C₂×C₂²⋊C₄	—	5	1	no	—
926	C₂×C₂²⋊C₄	—	5	1	no	—
927	C₂×C₂²⋊C₄	—	5	1	no	—
928	C₂×C₂²⋊C₄	—	5	1	no	—
929	C₂×C₂²⋊C₄	—	5	1	no	—
930	C₂×C₂²⋊C₄	—	5	1	no	—
931	C₂×C₂²⋊C₄	—	5	1	no	—
932	C₂×C₂²⋊C₄	—	5	1	no	—
933	C₂×C₂²⋊C₄	—	5	1	no	—
934	C₂×C₄²	—	5	1	no	—
935	C₂×C₄²	—	5	1	no	—
936	C₂×C₄²	—	5	1	no	—
937	C₂×C₄²	—	5	1	no	—
938	C₂×C₄²	—	5	1	no	—
939	C₂×C₄²	—	5	1	no	—
940	C₂×C₄²	—	5	1	no	—
941	C₂×C₄²	—	5	1	no	—
942	C₂×C₄²	—	5	1	no	—
943	C₂×C₄²	—	5	1	no	—
944	C₂×C₄²	—	5	1	no	—
945	C₂×C₄²	—	5	1	no	—
946	C₂×C₄²	—	5	1	no	—
947	C₂×C₄²	—	5	1	no	—
948	C₂×C₄²	—	5	1	no	—
949	C₂×C₄²	—	5	1	no	—
950	C₂×C₄²	—	5	1	no	—
951	C₂×C₄²	—	20	2	no	—
952	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
953	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
954	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
955	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
956	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
957	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
958	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
959	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
960	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
969	#95	—	5	1	no	—
970	#95	—	5	1	no	—
971	#95	—	5	1	no	—
972	#95	—	5	1	no	—
973	#95	—	5	1	no	—
974	#95	—	5	1	no	—
975	#95	—	5	1	no	—
976	#95	—	5	1	no	—
977	#95	—	5	1	no	—
978	#95	—	5	1	no	—
979	#95	—	5	1	no	—
980	#95	—	5	1	no	—
981	#95	—	5	1	no	—
982	#95	—	5	1	no	—
983	#95	—	5	1	no	—
984	#95	—	5	1	no	—
985	#95	—	5	1	no	—
986	#95	—	5	1	no	—
987	#95	—	5	1	no	—
988	#95	—	5	1	no	—
989	#95	—	5	1	no	—
990	#95	—	5	1	no	—
991	#95	—	5	1	no	—
992	#95	—	5	1	no	—
993	#95	—	5	1	no	—
994	#95	—	5	1	no	—
995	#95	C₂²×D₅	1	1	yes	characteristic
996	#95	C₂²×D₅	1	1	yes	characteristic
997	#95	C₂²×D₅	1	1	yes	characteristic
998	#95	C₂²×D₅	1	1	yes	characteristic
999	#95	C₂²×D₅	1	1	yes	characteristic
1000	#95	C₂²×D₅	1	1	yes	characteristic
1001	#95	C₂²×D₅	1	1	yes	characteristic
1002	#95	C₂²×D₅	1	1	yes	characteristic
1003	#95	C₂²×D₅	1	1	yes	characteristic
1004	#95	C₂²×D₅	1	1	yes	characteristic
1005	#95	C₂²×D₅	1	1	yes	characteristic
1006	#95	C₂²×D₅	1	1	yes	characteristic
1007	#95	C₂²×D₅	1	1	yes	characteristic
1008	#95	C₂²×D₅	1	1	yes	characteristic
1009	#95	C₂²×D₅	1	1	yes	characteristic
1010	#95	C₂²×D₅	1	1	yes	characteristic
1011	#95	C₂²×D₅	1	1	yes	characteristic
1012	#95	C₂²×D₅	1	1	yes	characteristic
1013	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
1014	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1015	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1016	C₂²×C₅	#585	1	1	yes	characteristic
1017	C₂²×C₅	#585	1	1	yes	characteristic
1018	C₂²×C₅	#585	1	1	yes	characteristic
1019	C₂²×C₅	#585	1	1	yes	characteristic
1020	C₂×D₅	—	2	2	no	—
1021	C₂×D₅	—	2	2	no	—
1022	C₂×D₅	—	2	2	no	—
1023	C₂×D₅	—	2	2	no	—
1024	C₂×D₅	—	2	2	no	—
1025	C₂×D₅	—	2	2	no	—
1026	C₂×D₅	—	2	2	no	—
1027	C₂×D₅	—	2	2	no	—
1028	C₂×D₅	—	2	2	no	—
1029	C₂×D₅	—	4	1	no	—
1030	C₂×D₅	—	4	1	no	—
1031	C₂×D₅	—	4	1	no	—
1032	C₂×D₅	—	4	1	no	—
1033	C₂×D₅	—	4	1	no	—
1034	C₂×D₅	—	4	1	no	—
1035	C₂×D₅	—	4	1	no	—
1036	C₂×D₅	—	4	1	no	—
1037	C₂×D₅	—	4	1	no	—
1038	C₂×D₅	—	4	1	no	—
1039	C₂×D₅	—	4	1	no	—
1040	C₂×D₅	—	4	1	no	—
1041	C₄×C₅	—	2	2	no	—
1042	C₄×C₅	—	2	2	no	—
1043	C₄×C₅	—	2	2	no	—
1044	C₄×C₅	—	2	2	no	—
1045	C₄×C₅	—	2	2	no	—
1046	C₄×C₅	—	2	2	no	—
1047	C₄×C₅	—	2	2	no	—
1048	C₄×C₅	—	2	2	no	—
1049	C₄×C₅	—	4	1	no	—
1050	C₄×C₅	—	4	1	no	—
1051	C₄×C₅	—	4	1	no	—
1052	C₄×C₅	—	4	1	no	—
1053	C₄×C₅	—	4	1	no	—
1054	C₄×C₅	—	4	1	no	—
1055	C₄×C₅	—	4	1	no	—
1056	Dic₅	—	2	2	no	—
1057	Dic₅	—	2	2	no	—
1058	Dic₅	—	2	2	no	—
1059	Dic₅	—	2	2	no	—
1060	Dic₅	—	2	2	no	—
1061	Dic₅	—	2	2	no	—
1062	Dic₅	—	4	1	no	—
1063	Dic₅	—	4	1	no	—
1064	Dic₅	—	4	1	no	—
1065	Dic₅	—	4	1	no	—
1066	Dic₅	—	4	1	no	—
1067	Dic₅	—	4	1	no	—
1068	Dic₅	—	4	1	no	—
1069	C₂⁴	—	5	1	no	—
1070	C₂⁴	—	5	1	no	—
1071	C₂⁴	—	5	1	no	—
1072	C₂×Q₈	—	4	1	no	—
1073	C₂×Q₈	—	4	1	no	—
1074	C₂×Q₈	—	5	4	no	—
1075	C₂×Q₈	—	5	4	no	—
1076	C₂×Q₈	—	20	1	no	—
1077	C₂×Q₈	—	20	1	no	—
1078	C₂×Q₈	—	20	1	no	—
1079	C₂×Q₈	—	20	1	no	—
1080	C₂×Q₈	C₂×C₄×D₅	1	4	yes	—
1081	C₂×D₄	—	5	4	no	—
1082	C₂×D₄	—	5	4	no	—
1083	C₂×D₄	—	5	4	no	—
1084	C₂×D₄	—	20	1	no	—
1085	C₂×D₄	—	20	1	no	—
1086	C₂×D₄	—	20	1	no	—
1087	C₂×D₄	—	20	1	no	—
1088	C₂×D₄	—	20	1	no	—
1089	C₂×D₄	—	20	1	no	—
1090	C₂²×C₄	—	5	1	no	—
1091	C₂²×C₄	—	5	1	no	—
1092	C₂²×C₄	—	5	1	no	—
1093	C₂²×C₄	—	5	1	no	—
1094	C₂²×C₄	—	5	1	no	—
1095	C₂²×C₄	—	5	1	no	—
1096	C₂²×C₄	—	5	4	no	—
1097	C₂²×C₄	—	5	4	no	—
1098	C₂²×C₄	—	5	4	no	—
1099	C₂²×C₄	—	5	1	no	—
1100	C₂²×C₄	—	5	1	no	—
1101	C₂²×C₄	—	5	1	no	—
1102	C₂²×C₄	—	5	1	no	—
1103	C₂²×C₄	—	5	1	no	—
1104	C₂²×C₄	—	5	1	no	—
1105	C₂²×C₄	—	5	1	no	—
1106	C₂²×C₄	—	10	2	no	—
1107	C₂²×C₄	—	10	2	no	—
1108	C₂²×C₄	—	10	2	no	—
1109	C₂²×C₄	—	20	1	no	—
1110	C₂²×C₄	—	20	1	no	—
1111	C₂²×C₄	—	20	1	no	—
1112	C₂²×C₄	—	20	1	no	—
1113	C₂²×C₄	—	20	1	no	—
1114	C₂²×C₄	—	20	1	no	—
1115	C₂²×C₄	—	20	1	no	—
1116	C₂²×C₄	—	20	1	no	—
1117	C₂²×C₄	—	20	1	no	—
1118	C₂²×C₄	—	20	1	no	—
1119	C₂²×C₄	—	20	1	no	—
1120	C₂²×C₄	—	20	1	no	—
1121	C₂²×C₄	—	20	1	no	—
1122	C₂²×C₄	—	20	1	no	—
1123	C₂²×C₄	—	20	1	no	—
1124	C₂²×C₄	—	20	1	no	—
1125	C₂²×C₄	—	20	1	no	—
1126	C₂²×C₄	—	20	1	no	—
1127	C₂²×C₄	—	20	1	no	—
1128	C₂²×C₄	—	20	1	no	—
1129	C₂²×C₄	—	20	1	no	—
1130	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1131	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1132	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1133	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1134	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1135	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1136	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1137	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1138	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1139	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1140	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1141	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1142	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1143	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1144	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1145	C₄⋊C₄	—	2	2	no	—
1146	C₄⋊C₄	—	4	1	no	—
1147	C₄⋊C₄	—	4	1	no	—
1148	C₄⋊C₄	—	4	1	no	—
1149	C₄⋊C₄	—	5	4	no	—
1150	C₄⋊C₄	—	5	4	no	—
1151	C₄⋊C₄	—	5	4	no	—
1152	C₄⋊C₄	—	5	4	no	—
1153	C₄⋊C₄	—	5	4	no	—
1154	C₄⋊C₄	—	5	4	no	—
1155	C₄⋊C₄	—	5	4	no	—
1156	C₄⋊C₄	—	10	2	no	—
1157	C₄⋊C₄	—	10	2	no	—
1158	C₄⋊C₄	—	10	2	no	—
1159	C₄⋊C₄	—	10	2	no	—
1160	C₄⋊C₄	—	20	1	no	—
1161	C₄⋊C₄	—	20	1	no	—
1162	C₄⋊C₄	—	20	1	no	—
1163	C₄⋊C₄	—	20	1	no	—
1164	C₄⋊C₄	—	20	1	no	—
1165	C₄⋊C₄	—	20	1	no	—
1166	C₄⋊C₄	—	20	1	no	—
1167	C₄⋊C₄	—	20	1	no	—
1168	C₄⋊C₄	—	20	1	no	—
1169	C₄⋊C₄	—	20	1	no	—
1170	C₄⋊C₄	—	20	1	no	—
1171	C₄⋊C₄	—	20	1	no	—
1172	C₄⋊C₄	—	20	1	no	—
1173	C₄⋊C₄	—	20	1	no	—
1174	C₄⋊C₄	C₂×C₄×D₅	1	4	yes	—
1175	C₄⋊C₄	C₂×C₄×D₅	1	4	yes	—
1176	C₄⋊C₄	C₂×C₄×D₅	1	4	yes	—
1177	C₂²⋊C₄	—	5	4	no	—
1178	C₂²⋊C₄	—	5	4	no	—
1179	C₂²⋊C₄	—	5	4	no	—
1180	C₂²⋊C₄	—	5	4	no	—
1181	C₂²⋊C₄	—	5	4	no	—
1182	C₂²⋊C₄	—	5	4	no	—
1183	C₂²⋊C₄	—	5	4	no	—
1184	C₂²⋊C₄	—	5	4	no	—
1185	C₂²⋊C₄	—	5	4	no	—
1186	C₂²⋊C₄	—	5	4	no	—
1187	C₂²⋊C₄	—	5	4	no	—
1188	C₂²⋊C₄	—	5	4	no	—
1189	C₂²⋊C₄	—	10	2	no	—
1190	C₂²⋊C₄	—	10	2	no	—
1191	C₂²⋊C₄	—	10	2	no	—
1192	C₂²⋊C₄	—	20	1	no	—
1193	C₂²⋊C₄	—	20	1	no	—
1194	C₂²⋊C₄	—	20	1	no	—
1195	C₂²⋊C₄	—	20	1	no	—
1196	C₂²⋊C₄	—	20	1	no	—
1197	C₂²⋊C₄	—	20	1	no	—
1198	C₂²⋊C₄	—	20	1	no	—
1199	C₂²⋊C₄	—	20	1	no	—
1200	C₂²⋊C₄	—	20	1	no	—
1201	C₂²⋊C₄	—	20	1	no	—
1202	C₂²⋊C₄	—	20	1	no	—
1203	C₂²⋊C₄	—	20	1	no	—
1204	C₂²⋊C₄	—	20	1	no	—
1205	C₂²⋊C₄	—	20	1	no	—
1206	C₂²⋊C₄	—	20	1	no	—
1207	C₄²	—	2	2	no	—
1208	C₄²	—	2	2	no	—
1209	C₄²	—	4	1	no	—
1210	C₄²	—	4	1	no	—
1211	C₄²	—	4	1	no	—
1212	C₄²	—	4	1	no	—
1213	C₄²	—	5	4	no	—
1214	C₄²	—	10	2	no	—
1215	C₄²	—	20	1	no	—
1216	C₄²	—	20	1	no	—
1217	C₄²	—	20	1	no	—
1218	C₄²	—	20	1	no	—
1219	C₄²	—	20	1	no	—
1220	C₄²	—	20	1	no	—
1221	C₄²	—	20	1	no	—
1222	C₄²	—	20	1	no	—
1223	C₄²	—	20	1	no	—
1224	C₄²	—	20	1	no	—
1225	C₄²	—	20	1	no	—
1226	C₄²	—	20	1	no	—
1227	C₄²	—	20	1	no	—
1228	C₄²	—	20	1	no	—
1229	C₄²	—	20	1	no	—
1230	C₄²	C₂×C₄×D₅	1	4	yes	—
1231	C₄²	C₂×C₄×D₅	1	4	yes	—
1232	C₄²	C₂×C₄×D₅	1	4	yes	—
1233	C₂×C₅	#3428	1	1	yes	characteristic
1234	C₂×C₅	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1235	C₂×C₅	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1236	C₂×C₅	#3533	1	1	yes	characteristic
1237	C₂×C₅	#3541	1	1	yes	characteristic
1238	C₂×C₅	#3557	1	1	yes	characteristic
1239	C₂×C₅	#3568	1	1	yes	characteristic
1240	D₅	—	4	2	no	—
1241	D₅	—	4	2	no	—
1242	D₅	—	4	2	no	—
1243	C₂³	—	5	2	no	—
1244	C₂³	—	5	2	no	—
1245	C₂³	—	5	2	no	—
1246	C₂³	—	10	1	no	—
1247	C₂³	—	10	1	no	—
1248	C₂³	—	10	1	no	—
1249	C₂³	—	10	1	no	—
1250	C₂³	—	10	1	no	—
1251	C₂³	—	10	1	no	—
1252	C₂³	—	10	1	no	—
1253	C₂³	—	10	1	no	—
1254	C₂³	—	10	1	no	—
1255	C₂³	—	10	1	no	—
1256	C₂³	—	10	1	no	—
1257	C₂³	—	10	1	no	—
1258	C₂³	—	10	1	no	—
1259	C₂³	—	10	1	no	—
1260	C₂³	—	10	1	no	—
1261	C₂³	—	10	1	no	—
1262	C₂³	—	10	1	no	—
1263	C₂³	—	10	1	no	—
1264	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1265	Q₈	—	4	4	no	—
1266	Q₈	—	20	4	no	—
1267	Q₈	—	20	4	no	—
1268	D₄	—	20	4	no	—
1269	D₄	—	20	4	no	—
1270	D₄	—	20	4	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	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	5	2	no	—
1309	C₂×C₄	—	5	2	no	—
1310	C₂×C₄	—	5	2	no	—
1311	C₂×C₄	—	5	2	no	—
1312	C₂×C₄	—	5	2	no	—
1313	C₂×C₄	—	5	2	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	—	10	1	no	—
1331	C₂×C₄	—	10	1	no	—
1332	C₂×C₄	—	10	1	no	—
1333	C₂×C₄	—	10	1	no	—
1334	C₂×C₄	—	10	1	no	—
1335	C₂×C₄	—	10	1	no	—
1336	C₂×C₄	—	10	1	no	—
1337	C₂×C₄	—	10	1	no	—
1338	C₂×C₄	—	10	1	no	—
1339	C₂×C₄	—	10	1	no	—
1340	C₂×C₄	—	10	1	no	—
1341	C₂×C₄	—	10	1	no	—
1342	C₂×C₄	—	10	1	no	—
1343	C₂×C₄	—	10	1	no	—
1344	C₂×C₄	—	10	1	no	—
1345	C₂×C₄	—	10	1	no	—
1346	C₂×C₄	—	10	1	no	—
1347	C₂×C₄	—	20	4	no	—
1348	C₂×C₄	—	20	4	no	—
1349	C₂×C₄	—	20	4	no	—
1350	C₂×C₄	—	20	4	no	—
1351	C₂×C₄	—	20	4	no	—
1352	C₂×C₄	—	40	2	no	—
1353	C₂×C₄	—	40	2	no	—
1354	C₂×C₄	—	40	2	no	—
1355	C₂×C₄	—	40	2	no	—
1356	C₂×C₄	C₂²×C₄×D₅	1	2	yes	—
1357	C₂×C₄	C₂²×C₄×D₅	1	2	yes	—
1358	C₂×C₄	C₂²×C₄×D₅	1	2	yes	—
1359	C₂×C₄	C₂²×C₄×D₅	1	2	yes	—
1360	C₂×C₄	C₂²×C₄×D₅	1	2	yes	—
1361	C₂×C₄	C₂²×C₄×D₅	1	2	yes	—
1362	C₂×C₄	C₂²×C₄×D₅	1	2	yes	—
1363	C₂×C₄	#4149	1	2	yes	—
1364	C₅	#34448	1	1	yes	characteristic, complemented, Sylow
1365	C₂²	—	10	2	no	—
1366	C₂²	—	10	2	no	—
1367	C₂²	—	10	2	no	—
1368	C₂²	—	10	2	no	—
1369	C₂²	—	10	2	no	—
1370	C₂²	—	10	2	no	—
1371	C₂²	—	10	2	no	—
1372	C₂²	—	10	2	no	—
1373	C₂²	—	10	2	no	—
1374	C₂²	—	20	1	no	—
1375	C₂²	—	20	1	no	—
1376	C₂²	—	20	1	no	—
1377	C₂²	—	20	1	no	—
1378	C₂²	—	20	1	no	—
1379	C₂²	—	20	1	no	—
1380	C₂²	—	20	1	no	—
1381	C₂²	—	20	1	no	—
1382	C₂²	—	20	1	no	—
1383	C₂²	—	20	1	no	—
1384	C₂²	—	20	1	no	—
1385	C₂²	—	20	1	no	—
1386	C₂²	C₂³×C₄×D₅	1	1	yes	characteristic
1387	C₂²	C₂×#4149	1	1	yes	characteristic
1388	C₂²	#66283	1	1	yes	characteristic
1389	C₂²	#66283	1	1	yes	characteristic
1390	C₂²	#66283	1	1	yes	characteristic
1391	C₂²	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1392	C₂²	#66287	1	1	yes	characteristic
1393	C₄	—	2	2	no	—
1394	C₄	—	2	2	no	—
1395	C₄	—	2	2	no	—
1396	C₄	—	2	2	no	—
1397	C₄	—	2	2	no	—
1398	C₄	—	2	2	no	—
1399	C₄	—	2	2	no	—
1400	C₄	—	2	2	no	—
1401	C₄	—	4	1	no	—
1402	C₄	—	4	1	no	—
1403	C₄	—	4	1	no	—
1404	C₄	—	4	1	no	—
1405	C₄	—	4	1	no	—
1406	C₄	—	4	1	no	—
1407	C₄	—	4	1	no	—
1408	C₄	—	10	2	no	—
1409	C₄	—	10	2	no	—
1410	C₄	—	10	2	no	—
1411	C₄	—	10	2	no	—
1412	C₄	—	10	2	no	—
1413	C₄	—	10	2	no	—
1414	C₄	—	20	1	no	—
1415	C₄	—	20	1	no	—
1416	C₄	—	20	1	no	—
1417	C₄	—	20	1	no	—
1418	C₄	—	20	1	no	—
1419	C₄	—	20	1	no	—
1420	C₄	—	20	1	no	—
1421	C₂	—	20	2	no	—
1422	C₂	—	20	2	no	—
1423	C₂	—	20	2	no	—
1424	C₂	#10617632	1	1	yes	characteristic
1425	C₂	C₄×#4149	1	1	yes	characteristic
1426	C₂	#10617774	1	1	yes	characteristic
1427	C₂	#10618751	1	1	yes	characteristic
1428	C₂	#10618765	1	1	yes	characteristic
1429	C₂	#10618895	1	1	yes	characteristic
1430	C₂	#10618903	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅
commutator	C₂²×C₅	C₂⁴×C₄
Fitting	C₅×#2356	C₂
socle, cosocle	C₂³×C₅	C₂⁵
prime radical	C₂×#4041	C₂²
hypercenter	#2356	D₅
hypocenter	C₅	#34448
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ #2356

Complements

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

N	H ≅ G/N	type
2. C₅×#2356	C₂	semidirect
3. #10614193	C₂	semidirect
4. #10608348	C₂	semidirect
5. #10608347	C₂	semidirect
6. #10608219	C₂	semidirect
7. #10608219	C₂	semidirect
8. #10607038	C₂	semidirect
9. #10607032	C₂	semidirect
11. #10606708	C₂	semidirect
12. #10606706	C₂	semidirect
13. #10606698	C₂	semidirect
15. #10606672	C₂	semidirect
16. #10606030	C₂	semidirect
17. #10606026	C₂	semidirect
18. #10605994	C₂	semidirect
19. #10605993	C₂	semidirect
20. #10605961	C₂	semidirect
21. #10605886	C₂	semidirect
22. #10605506	C₂	semidirect
23. #10605496	C₂	semidirect
24. C₄×#4040	C₂	semidirect
25. #10605385	C₂	semidirect
26. #10605379	C₂	semidirect
27. #10605359	C₂	semidirect
28. #10605147	C₂	semidirect
29. #10605145	C₂	semidirect
30. #10605127	C₂	semidirect
31. #10605118	C₂	semidirect
35. #65916	C₄	semidirect
204. C₄×C₅×Q₈	C₂×C₄	semidirect
221. #4093	C₂×C₄	semidirect
222. #4092	C₂×C₄	semidirect
295. #4042	C₂×C₄	semidirect
296. #4042	C₂×C₄	semidirect
298. #4040	C₂×C₄	semidirect
299. #4040	C₂×C₄	semidirect
301. #4034	C₂×C₄	semidirect
303. #4022	C₂×C₄	semidirect
304. #4022	C₂×C₄	semidirect
305. #4021	C₂×C₄	semidirect
306. #4021	C₂×C₄	semidirect
308. C₄×D₂₀	C₂×C₄	semidirect
310. #4018	C₂×C₄	semidirect
378. #2356	D₅	semidirect
866. C₄×Q₈	C₄×D₅	semidirect
1364. C₅	#34448	semidirect

Maximal subgroups

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

subgroup	index
C₂×#65916	2
C₅×#2356	2
#10614193	2
#10608348	2
#10608347	2
#10608219	2
#10607038	2
#10607032	2
#10607029	2
#10606708	2
#10606706	2
#10606698	2
#10606683	2
#10606672	2
#10606030	2
#10606026	2
#10605994	2
#10605993	2
#10605961	2
#10605886	2
#10605506	2
#10605496	2
C₄×#4040	2
#10605385	2
#10605379	2
#10605359	2
#10605147	2
#10605145	2
#10605127	2
#10605118	2
#34448	5