Subgroups — #12978144

Order 1280.

1898 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618823	C₂	1	1	yes	maximal, characteristic, complemented
2	D₅×#553	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3346	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615356	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615339	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613725	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613708	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613247	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613241	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613199	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613195	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613065	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613057	C₂	1	1	yes	maximal, characteristic, complemented
14	#10613028	C₂	1	1	yes	maximal, characteristic, complemented
15	#10613014	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612989	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612962	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612720	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612696	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612536	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612531	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612388	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612380	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611540	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611504	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611214	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611202	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610967	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610939	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610888	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65170	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#554	C₂²	1	1	yes	characteristic, complemented
33	C₅×#553	C₂²	1	1	yes	characteristic
34	C₂×#4060	C₂²	1	1	yes	characteristic
35	C₂×D₅×M₁₆	C₂²	1	1	yes	characteristic
36	C₂²×#676	C₂²	1	1	yes	characteristic
37	#66068	C₂²	1	1	yes	characteristic, complemented
38	#66062	C₂²	1	1	yes	characteristic
39	#66043	—	2	1	no	—
40	D₅×#126	—	2	1	no	—
41	#66029	C₂²	1	1	yes	characteristic
42	#66028	—	2	1	no	—
43	#66025	—	2	1	no	—
44	D₅×#125	C₂²	1	1	yes	characteristic
45	#65995	—	2	1	no	—
46	D₅×#123	—	2	1	no	—
47	#65976	C₂²	1	1	yes	characteristic, complemented
48	#65976	C₂²	1	1	yes	characteristic, complemented
49	#65971	—	2	1	no	—
50	#65971	—	2	1	no	—
51	#65961	C₂²	1	1	yes	characteristic
52	#65961	C₂²	1	1	yes	characteristic
53	#65958	—	2	1	no	—
54	#65958	—	2	1	no	—
55	#65952	C₂²	1	1	yes	characteristic
56	#65948	C₂²	1	1	yes	characteristic
57	D₅×#121	—	2	1	no	—
58	D₅×#121	C₂²	1	1	yes	characteristic
59	D₅×#121	C₂²	1	1	yes	characteristic
60	#65935	—	2	1	no	—
61	#65918	C₂²	1	1	yes	characteristic, complemented
62	C₄×#713	C₂²	1	1	yes	characteristic
63	#65899	C₂²	1	1	yes	characteristic
64	#65892	C₂²	1	1	yes	characteristic
65	#65889	C₂²	1	1	yes	characteristic, complemented
66	#65888	—	2	1	no	—
67	C₄×D₄×D₅	—	2	1	no	—
68	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
69	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
70	#65874	—	2	1	no	—
71	C₄×#711	—	2	1	no	—
72	#65864	C₂²	1	1	yes	characteristic
73	D₅×#117	C₂²	1	1	yes	characteristic
74	#65848	C₂²	1	1	yes	characteristic
75	#65848	C₂²	1	1	yes	characteristic, complemented
76	#65848	C₂²	1	1	yes	characteristic, complemented
77	C₂×#4038	C₂²	1	1	yes	characteristic
78	C₂×#4038	C₂²	1	1	yes	characteristic
79	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
80	C₅×#501	C₂²	1	1	yes	characteristic, complemented
81	C₅×#485	C₂²	1	1	yes	characteristic, complemented
82	C₅×#484	C₂²	1	1	yes	characteristic, complemented
83	C₅×#481	C₂²	1	1	yes	characteristic, complemented
84	C₅×#480	C₂²	1	1	yes	characteristic, complemented
85	C₅×#479	C₂²	1	1	yes	characteristic, complemented
86	C₅×#474	C₂²	1	1	yes	characteristic, complemented
87	C₅×#468	C₂²	1	1	yes	characteristic, complemented
88	C₅×#465	C₂²	1	1	yes	characteristic, complemented
89	C₅×#440	C₂²	1	1	yes	characteristic, complemented
90	C₅×#435	C₂²	1	1	yes	characteristic, complemented
91	C₅×#428	C₂²	1	1	yes	characteristic, complemented
92	C₂×C₅×#107	C₂²	1	1	yes	characteristic, complemented
93	#65463	C₂²	1	1	yes	characteristic, complemented
94	#65460	C₂²	1	1	yes	characteristic, complemented
95	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
96	#65424	C₂²	1	1	yes	characteristic, complemented
97	#65417	C₂²	1	1	yes	characteristic, complemented
98	#65410	C₂²	1	1	yes	characteristic, complemented
99	#65404	C₂²	1	1	yes	characteristic, complemented
100	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
101	C₂×#3949	C₂²	1	1	yes	characteristic, complemented
102	#65376	C₂²	1	1	yes	characteristic, complemented
103	#65369	C₂²	1	1	yes	characteristic, complemented
104	#65355	C₂²	1	1	yes	characteristic, complemented
105	#65354	C₂²	1	1	yes	characteristic, complemented
106	#65338	C₂²	1	1	yes	characteristic, complemented
107	#65337	C₂²	1	1	yes	characteristic, complemented
108	#65334	C₂²	1	1	yes	characteristic, complemented
109	#65333	C₂²	1	1	yes	characteristic, complemented
110	#65328	C₂²	1	1	yes	characteristic, complemented
111	#65327	C₂²	1	1	yes	characteristic, complemented
112	#65323	C₂²	1	1	yes	characteristic, complemented
113	#65322	C₂²	1	1	yes	characteristic, complemented
114	#65315	C₂²	1	1	yes	characteristic, complemented
115	#65311	C₂²	1	1	yes	characteristic, complemented
116	#65303	C₂²	1	1	yes	characteristic, complemented
117	#65300	C₂²	1	1	yes	characteristic, complemented
118	#65297	C₂²	1	1	yes	characteristic, complemented
119	#65292	C₂²	1	1	yes	characteristic, complemented
120	#65284	C₂²	1	1	yes	characteristic, complemented
121	#65257	C₂²	1	1	yes	characteristic, complemented
122	#65257	C₂²	1	1	yes	characteristic, complemented
123	#65256	C₂²	1	1	yes	characteristic, complemented
124	#65253	C₂²	1	1	yes	characteristic, complemented
125	C₂×#3940	C₂²	1	1	yes	characteristic, complemented
126	C₂×#3939	C₂²	1	1	yes	characteristic, complemented
127	#65180	C₂²	1	1	yes	characteristic, complemented
128	#65180	C₂²	1	1	yes	characteristic, complemented
129	#65180	C₂²	1	1	yes	characteristic, complemented
130	#65174	C₂²	1	1	yes	characteristic, complemented
131	#65174	C₂²	1	1	yes	characteristic, complemented
132	#65174	C₂²	1	1	yes	characteristic, complemented
133	#65172	C₂²	1	1	yes	characteristic, complemented
134	#65171	C₂²	1	1	yes	characteristic, complemented
135	#65171	C₂²	1	1	yes	characteristic, complemented
136	#65170	C₂²	1	1	yes	characteristic
137	#65170	C₂²	1	1	yes	characteristic
138	#65170	C₂²	1	1	yes	characteristic
139	#65170	C₂²	1	1	yes	characteristic
140	#65170	C₂²	1	1	yes	characteristic
141	#65170	C₂²	1	1	yes	characteristic
142	#65170	C₂²	1	1	yes	characteristic, complemented
143	#65170	C₂²	1	1	yes	characteristic, complemented
144	#65170	C₂²	1	1	yes	characteristic, complemented
145	#65170	C₂²	1	1	yes	characteristic, complemented
146	#65169	C₂²	1	1	yes	characteristic, complemented
147	#65169	C₂²	1	1	yes	characteristic, complemented
148	#65167	C₂²	1	1	yes	characteristic, complemented
149	#65167	C₂²	1	1	yes	characteristic, complemented
150	#65161	C₂²	1	1	yes	characteristic, complemented
151	#65160	C₂²	1	1	yes	characteristic, complemented
152	#65155	C₂²	1	1	yes	characteristic, complemented
153	#65155	C₂²	1	1	yes	characteristic, complemented
154	#65155	C₂²	1	1	yes	characteristic, complemented
155	#65154	C₂²	1	1	yes	characteristic, complemented
156	#65150	C₂²	1	1	yes	characteristic
157	#65150	C₂²	1	1	yes	characteristic
158	#65150	C₂²	1	1	yes	characteristic
159	#65149	C₂²	1	1	yes	characteristic, complemented
160	#65149	C₂²	1	1	yes	characteristic, complemented
161	#65147	C₂²	1	1	yes	characteristic, complemented
162	#65147	C₂²	1	1	yes	characteristic, complemented
163	#65136	C₂²	1	1	yes	characteristic, complemented
164	#65131	C₂²	1	1	yes	characteristic, complemented
165	#65126	C₂²	1	1	yes	characteristic
166	#65125	C₂²	1	1	yes	characteristic, complemented
167	#65104	C₂²	1	1	yes	characteristic, complemented
168	#65103	C₂²	1	1	yes	characteristic, complemented
169	#65101	C₂²	1	1	yes	characteristic, complemented
170	#65096	C₂²	1	1	yes	characteristic, complemented
171	#65094	C₂²	1	1	yes	characteristic, complemented
172	#65094	C₂²	1	1	yes	characteristic, complemented
173	#65092	C₂²	1	1	yes	characteristic
174	#65092	C₂²	1	1	yes	characteristic
175	#65092	C₂²	1	1	yes	characteristic
176	#65088	C₂²	1	1	yes	characteristic, complemented
177	#65085	C₂²	1	1	yes	characteristic, complemented
178	#65077	C₂²	1	1	yes	characteristic, complemented
179	#65073	C₂²	1	1	yes	characteristic, complemented
180	#65073	C₂²	1	1	yes	characteristic, complemented
181	#65071	C₂²	1	1	yes	characteristic, complemented
182	#65068	C₂²	1	1	yes	characteristic, complemented
183	#65068	C₂²	1	1	yes	characteristic, complemented
184	#65064	C₂²	1	1	yes	characteristic, complemented
185	#65059	C₂²	1	1	yes	characteristic
186	#65059	C₂²	1	1	yes	characteristic
187	#65059	C₂²	1	1	yes	characteristic
188	#65052	C₂²	1	1	yes	characteristic, complemented
189	#65052	C₂²	1	1	yes	characteristic, complemented
190	#65045	C₂²	1	1	yes	characteristic, complemented
191	#65026	C₂²	1	1	yes	characteristic, complemented
192	#65025	C₂²	1	1	yes	characteristic, complemented
193	#65024	C₂²	1	1	yes	characteristic, complemented
194	#65024	C₂²	1	1	yes	characteristic, complemented
195	#65018	C₂²	1	1	yes	characteristic, complemented
196	#65015	C₂²	1	1	yes	characteristic
197	#65015	C₂²	1	1	yes	characteristic
198	#65014	C₂²	1	1	yes	characteristic, complemented
199	#65000	C₂²	1	1	yes	characteristic, complemented
200	#64996	C₂²	1	1	yes	characteristic
201	#64995	C₂²	1	1	yes	characteristic, complemented
202	#64991	C₂²	1	1	yes	characteristic, complemented
203	#61255	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×#711	—	2	1	no	—
206	C₂×D₄×D₅	—	2	1	no	—
207	C₂×D₄×D₅	—	2	1	no	—
208	C₂×D₄×D₅	D₄	1	1	yes	characteristic
209	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₅	—	2	1	no	—
211	C₂²×C₄×D₅	—	2	1	no	—
212	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
213	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
214	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
216	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
217	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
218	C₅×#126	—	2	1	no	—
219	C₅×#125	—	2	1	no	—
220	C₅×#125	C₂³	1	1	yes	characteristic
221	C₅×#123	—	2	1	no	—
222	C₅×C₂²⋊Q₈	—	2	1	no	—
223	C₅×C₂²⋊Q₈	—	2	1	no	—
224	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
226	C₅×#121	—	2	1	no	—
227	C₅×#121	C₂³	1	1	yes	characteristic
228	C₅×#121	C₂³	1	1	yes	characteristic
229	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
230	C₄×C₅×D₄	—	2	1	no	—
231	C₄×C₅×D₄	—	2	1	no	—
232	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
233	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
234	C₅×#117	C₂³	1	1	yes	characteristic
235	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	#4093	—	2	1	no	—
239	#4093	—	2	1	no	—
240	#4092	—	2	1	no	—
241	#4092	C₂³	1	1	yes	characteristic
242	#4092	C₂³	1	1	yes	characteristic
243	Q₈×Dic₅	—	2	1	no	—
244	Q₈×Dic₅	C₂³	1	1	yes	characteristic
245	C₂×#688	C₂³	1	1	yes	characteristic
246	#4085	—	2	1	no	—
247	#4085	—	2	1	no	—
248	#4085	—	2	1	no	—
249	#4085	—	2	1	no	—
250	#4084	—	2	1	no	—
251	#4084	C₂³	1	1	yes	characteristic
252	#4084	C₂³	1	1	yes	characteristic
253	#4081	—	2	1	no	—
254	D₄×Dic₅	—	2	1	no	—
255	D₄×Dic₅	D₄	1	1	yes	characteristic
256	D₄×Dic₅	C₂³	1	1	yes	characteristic
257	C₂×#686	C₂³	1	1	yes	characteristic
258	#4076	—	2	1	no	—
259	#4076	—	2	1	no	—
260	#4076	—	2	1	no	—
261	#4076	C₂³	1	1	yes	characteristic
262	#4076	C₂³	1	1	yes	characteristic
263	#4076	C₂³	1	1	yes	characteristic
264	#4076	C₂³	1	1	yes	characteristic
265	#4075	—	2	1	no	—
266	C₄×C₂²⋊D₅	—	2	1	no	—
267	C₄×C₂²⋊D₅	—	2	1	no	—
268	C₄×C₂²⋊D₅	—	2	1	no	—
269	C₄×C₂²⋊D₅	—	2	1	no	—
270	C₄×C₂²⋊D₅	—	2	1	no	—
271	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
272	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
273	C₂×#685	—	2	1	no	—
274	C₂×#685	—	2	1	no	—
275	#4072	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	C₂×#683	—	2	1	no	—
280	C₂×C₄×Dic₅	—	2	1	no	—
281	C₂×C₄×Dic₅	—	2	1	no	—
282	C₂×#681	C₂³	1	1	yes	characteristic
283	C₂²×#168	C₂³	1	1	yes	characteristic
284	#4060	—	2	4	no	—
285	D₅×M₁₆	—	2	4	no	—
286	C₂×D₄₀	C₂³	1	1	yes	characteristic
287	C₂×#676	—	2	4	no	—
288	C₂×#676	C₂³	1	1	yes	characteristic
289	C₂×#676	C₂³	1	1	yes	characteristic
290	C₂×#676	C₂³	1	1	yes	characteristic
291	C₂×#676	C₂³	1	1	yes	characteristic
292	C₂×#676	C₂³	1	1	yes	characteristic
293	C₂×#676	C₂³	1	1	yes	characteristic
294	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
295	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
296	#4044	—	2	1	no	—
297	#4044	—	2	1	no	—
298	#4044	—	2	1	no	—
299	#4044	—	2	1	no	—
300	#4044	—	2	1	no	—
301	#4044	—	2	1	no	—
302	#4044	—	2	1	no	—
303	#4044	—	2	1	no	—
304	#4044	—	2	1	no	—
305	#4043	—	2	1	no	—
306	#4043	—	2	1	no	—
307	#4041	—	2	1	no	—
308	#4041	—	2	1	no	—
309	#4041	C₂³	1	1	yes	characteristic
310	#4041	C₂³	1	1	yes	characteristic
311	#4041	C₂³	1	1	yes	characteristic
312	#4041	C₂³	1	1	yes	characteristic
313	#4040	—	2	1	no	—
314	#4040	—	2	1	no	—
315	#4040	—	2	1	no	—
316	#4040	—	2	1	no	—
317	#4040	—	2	1	no	—
318	#4040	—	2	1	no	—
319	#4039	—	2	1	no	—
320	#4039	—	2	1	no	—
321	#4039	—	2	1	no	—
322	#4039	—	2	1	no	—
323	#4039	D₄	1	1	yes	characteristic
324	#4039	C₂³	1	1	yes	characteristic
325	#4039	C₂³	1	1	yes	characteristic
326	#4038	—	2	1	no	—
327	#4038	—	2	1	no	—
328	#4038	—	2	1	no	—
329	#4038	—	2	1	no	—
330	#4038	—	2	1	no	—
331	#4038	—	2	1	no	—
332	#4038	C₂³	1	1	yes	characteristic
333	#4038	C₂³	1	1	yes	characteristic
334	#4038	C₂³	1	1	yes	characteristic
335	#4038	C₂³	1	1	yes	characteristic
336	#4038	C₂³	1	1	yes	characteristic
337	#4038	C₂³	1	1	yes	characteristic
338	#4038	C₂³	1	1	yes	characteristic
339	#4038	C₂³	1	1	yes	characteristic
340	#4038	C₂³	1	1	yes	characteristic
341	D₅×C₄⋊C₄	—	2	1	no	—
342	D₅×C₄⋊C₄	—	2	1	no	—
343	D₅×C₄⋊C₄	—	2	1	no	—
344	D₅×C₄⋊C₄	—	2	1	no	—
345	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
346	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
347	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
348	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
349	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
350	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
351	#4036	—	2	1	no	—
352	#4036	—	2	1	no	—
353	#4036	C₂³	1	1	yes	characteristic
354	#4036	C₂³	1	1	yes	characteristic
355	#4036	C₂³	1	1	yes	characteristic
356	#4036	C₂³	1	1	yes	characteristic
357	#4035	—	2	1	no	—
358	#4035	—	2	1	no	—
359	#4033	—	2	1	no	—
360	#4032	—	2	1	no	—
361	#4032	—	2	1	no	—
362	#4032	—	2	1	no	—
363	#4032	—	2	1	no	—
364	#4032	—	2	1	no	—
365	#4030	—	2	1	no	—
366	#4030	—	2	1	no	—
367	#4030	—	2	1	no	—
368	#4030	—	2	1	no	—
369	#4029	—	2	1	no	—
370	#4029	—	2	1	no	—
371	#4028	—	2	1	no	—
372	#4028	—	2	1	no	—
373	#4027	—	2	1	no	—
374	#4027	—	2	1	no	—
375	#4027	—	2	1	no	—
376	#4027	—	2	1	no	—
377	#4027	—	2	1	no	—
378	#4027	D₄	1	1	yes	characteristic
379	#4027	D₄	1	1	yes	characteristic
380	D₅×C₂²⋊C₄	—	2	1	no	—
381	D₅×C₂²⋊C₄	—	2	1	no	—
382	D₅×C₂²⋊C₄	—	2	1	no	—
383	D₅×C₂²⋊C₄	—	2	1	no	—
384	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
385	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
386	#4025	—	2	1	no	—
387	#4025	—	2	1	no	—
388	#4025	—	2	1	no	—
389	#4023	—	2	1	no	—
390	#4023	—	2	1	no	—
391	#4023	—	2	1	no	—
392	#4022	—	2	1	no	—
393	#4021	—	2	1	no	—
394	C₄×D₂₀	—	2	1	no	—
395	C₄×D₂₀	—	2	1	no	—
396	C₄×D₂₀	C₂³	1	1	yes	characteristic
397	C₄×D₂₀	C₂³	1	1	yes	characteristic
398	C₄×D₂₀	C₂³	1	1	yes	characteristic
399	#4018	—	2	1	no	—
400	C₄²×D₅	—	2	1	no	—
401	C₄²×D₅	—	2	1	no	—
402	C₄²×D₅	C₂³	1	1	yes	characteristic
403	#4016	C₂³	1	1	yes	characteristic
404	#4015	C₂³	1	1	yes	characteristic
405	C₄×Dic₁₀	—	2	1	no	—
406	C₅×#107	C₂³	1	1	yes	characteristic
407	C₅×#107	C₂³	1	1	yes	characteristic
408	C₅×#107	C₂³	1	1	yes	characteristic
409	C₅×#107	C₂³	1	1	yes	characteristic
410	C₅×#107	C₂³	1	1	yes	characteristic
411	C₅×#107	C₂³	1	1	yes	characteristic
412	C₅×#106	C₂³	1	1	yes	characteristic
413	C₅×#106	C₂³	1	1	yes	characteristic
414	C₅×#106	C₂³	1	1	yes	characteristic
415	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
416	C₅×#103	C₂³	1	1	yes	characteristic
417	C₅×#103	C₂³	1	1	yes	characteristic
418	C₅×#103	C₂³	1	1	yes	characteristic
419	C₅×#102	C₂³	1	1	yes	characteristic
420	C₅×#102	C₂³	1	1	yes	characteristic
421	C₅×#102	C₂³	1	1	yes	characteristic
422	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
423	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
424	C₅×#97	C₂³	1	1	yes	characteristic
425	#3967	C₂³	1	1	yes	characteristic
426	#3967	C₂³	1	1	yes	characteristic
427	#3967	C₂³	1	1	yes	characteristic
428	#3964	C₂³	1	1	yes	characteristic
429	#3964	C₂³	1	1	yes	characteristic
430	#3964	C₂³	1	1	yes	characteristic
431	C₂²⋊#168	C₂³	1	1	yes	characteristic
432	C₂²⋊#168	C₂³	1	1	yes	characteristic
433	#3953	C₂³	1	1	yes	characteristic
434	#3953	C₂³	1	1	yes	characteristic
435	#3953	C₂³	1	1	yes	characteristic
436	#3953	C₂³	1	1	yes	characteristic
437	#3953	C₂³	1	1	yes	characteristic
438	#3953	C₂³	1	1	yes	characteristic
439	#3952	C₂³	1	1	yes	characteristic
440	#3952	C₂³	1	1	yes	characteristic
441	#3952	C₂³	1	1	yes	characteristic
442	#3952	C₂³	1	1	yes	characteristic
443	#3950	C₂³	1	1	yes	characteristic
444	#3950	C₂³	1	1	yes	characteristic
445	#3950	C₂³	1	1	yes	characteristic
446	#3949	C₂³	1	1	yes	characteristic
447	#3949	C₂³	1	1	yes	characteristic
448	#3949	C₂³	1	1	yes	characteristic
449	#3949	C₂³	1	1	yes	characteristic
450	#3949	C₂³	1	1	yes	characteristic
451	#3949	C₂³	1	1	yes	characteristic
452	#3946	C₂³	1	1	yes	characteristic
453	#3946	C₂³	1	1	yes	characteristic
454	C₈×Dic₅	C₂³	1	1	yes	characteristic
455	C₈×Dic₅	C₂³	1	1	yes	characteristic
456	#3941	C₂³	1	1	yes	characteristic
457	#3941	C₂³	1	1	yes	characteristic
458	#3941	C₂³	1	1	yes	characteristic
459	#3941	C₂³	1	1	yes	characteristic
460	#3941	C₂³	1	1	yes	characteristic
461	#3941	C₂³	1	1	yes	characteristic
462	#3940	C₂³	1	1	yes	characteristic
463	#3940	C₂³	1	1	yes	characteristic
464	#3940	C₂³	1	1	yes	characteristic
465	#3940	C₂³	1	1	yes	characteristic
466	#3940	C₂³	1	1	yes	characteristic
467	#3940	C₂³	1	1	yes	characteristic
468	#3940	C₂³	1	1	yes	characteristic
469	#3940	C₂³	1	1	yes	characteristic
470	#3940	C₂³	1	1	yes	characteristic
471	#3939	C₂³	1	1	yes	characteristic
472	#3939	C₂³	1	1	yes	characteristic
473	#3939	C₂³	1	1	yes	characteristic
474	#3939	C₂³	1	1	yes	characteristic
475	#3939	C₂³	1	1	yes	characteristic
476	#3939	C₂³	1	1	yes	characteristic
477	#3939	C₂³	1	1	yes	characteristic
478	#3939	C₂³	1	1	yes	characteristic
479	#3939	C₂³	1	1	yes	characteristic
480	C₄⋊#168	C₂³	1	1	yes	characteristic
481	#3935	C₂³	1	1	yes	characteristic
482	#3475	—	5	1	no	—
483	C₂×#553	—	5	1	no	—
484	#3355	—	5	1	no	—
485	#3355	—	5	1	no	—
486	#3351	—	5	1	no	—
487	#3351	—	5	1	no	—
488	#3350	—	5	1	no	—
489	#3350	—	5	1	no	—
490	#3347	—	5	1	no	—
491	#3347	—	5	1	no	—
492	#3346	—	5	1	no	—
493	#3346	D₅	1	1	yes	characteristic, complemented
494	#3345	—	5	1	no	—
495	#3345	—	5	1	no	—
496	#3339	—	5	1	no	—
497	#3339	—	5	1	no	—
498	#3337	—	5	1	no	—
499	#3337	—	5	1	no	—
500	#3166	—	5	1	no	—
501	#3094	—	5	1	no	—
502	#3094	—	5	1	no	—
503	#3093	—	5	1	no	—
504	#3092	—	5	1	no	—
505	#3080	—	5	1	no	—
506	#3077	—	5	1	no	—
507	#3055	—	5	1	no	—
508	#3055	—	5	1	no	—
509	C₄×AGL(1,ℤ/8)	—	5	1	no	—
510	D₄×M₁₆	—	5	1	no	—
511	#2911	—	5	1	no	—
512	C₂×#428	—	5	1	no	—
513	C₂³×D₅	—	2	1	no	—
514	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
515	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
516	C₂×C₅×Q₈	—	2	1	no	—
517	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
518	C₂×C₅×D₄	—	2	1	no	—
519	C₂×C₅×D₄	—	2	1	no	—
520	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
521	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₅	—	2	1	no	—
523	C₂²×C₄×C₅	—	2	1	no	—
524	C₂²×C₄×C₅	—	2	1	no	—
525	C₂²×C₄×C₅	—	2	1	no	—
526	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂×C₂²⋊D₅	—	2	1	no	—
530	C₂×C₂²⋊D₅	—	2	1	no	—
531	C₂×C₂²⋊D₅	—	2	1	no	—
532	C₂×C₂²⋊D₅	—	2	1	no	—
533	C₂×C₂²⋊D₅	—	2	1	no	—
534	C₂×C₂²⋊D₅	—	2	1	no	—
535	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
536	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
537	C₂²×Dic₅	—	2	1	no	—
538	C₂²×Dic₅	—	2	1	no	—
539	C₂²×Dic₅	—	2	1	no	—
540	C₂²×Dic₅	—	2	1	no	—
541	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
542	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
543	#713	—	2	2	no	—
544	#713	—	2	2	no	—
545	#711	—	4	4	no	—
546	D₄×D₅	—	2	2	no	—
547	D₄×D₅	—	2	2	no	—
548	D₄×D₅	—	4	2	no	—
549	D₄×D₅	—	4	4	no	—
550	D₄×D₅	—	8	2	no	—
551	C₂×D₂₀	—	2	1	no	—
552	C₂×D₂₀	—	2	1	no	—
553	C₂×D₂₀	—	2	1	no	—
554	C₂×D₂₀	—	2	1	no	—
555	C₂×D₂₀	—	2	1	no	—
556	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
557	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
558	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
559	C₂×C₄×D₅	—	2	2	no	—
560	C₂×C₄×D₅	—	2	2	no	—
561	C₂×C₄×D₅	—	2	2	no	—
562	C₂×C₄×D₅	—	2	2	no	—
563	C₂×C₄×D₅	—	2	1	no	—
564	C₂×C₄×D₅	—	2	1	no	—
565	C₂×C₄×D₅	—	2	1	no	—
566	C₂×C₄×D₅	—	2	1	no	—
567	C₂×C₄×D₅	—	2	1	no	—
568	C₂×C₄×D₅	—	2	1	no	—
569	C₂×C₄×D₅	—	2	1	no	—
570	C₂×C₄×D₅	—	2	1	no	—
571	C₂×C₄×D₅	—	2	1	no	—
572	C₂×C₄×D₅	—	2	1	no	—
573	C₂×C₄×D₅	—	8	2	no	—
574	C₂×C₄×D₅	—	8	2	no	—
575	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
576	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
577	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
578	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
579	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
580	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
581	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
582	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
583	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
584	C₂×Dic₁₀	—	2	1	no	—
585	C₅×SD₁₆	—	2	2	no	—
586	C₅×M₁₆	—	2	2	no	—
587	C₂×C₅×C₈	—	2	2	no	—
588	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
589	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
590	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
591	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
592	C₅×C₄⋊C₄	—	2	1	no	—
593	C₅×C₄⋊C₄	—	2	1	no	—
594	C₅×C₄⋊C₄	—	2	1	no	—
595	C₅×C₄⋊C₄	—	2	1	no	—
596	C₅×C₄⋊C₄	—	2	1	no	—
597	C₅×C₄⋊C₄	—	2	1	no	—
598	C₅×C₄⋊C₄	—	2	1	no	—
599	C₅×C₄⋊C₄	—	2	1	no	—
600	C₅×C₄⋊C₄	—	2	1	no	—
601	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
602	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
603	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
604	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
605	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
606	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
607	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
608	C₅×C₂²⋊C₄	—	2	1	no	—
609	C₅×C₂²⋊C₄	—	2	1	no	—
610	C₅×C₂²⋊C₄	—	2	1	no	—
611	C₅×C₂²⋊C₄	—	2	1	no	—
612	C₅×C₂²⋊C₄	—	2	1	no	—
613	C₅×C₂²⋊C₄	—	2	1	no	—
614	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
615	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
616	C₄²×C₅	—	2	1	no	—
617	C₄²×C₅	—	2	1	no	—
618	C₄²×C₅	C₂⁴	1	1	yes	characteristic
619	C₂²⋊Dic₅	—	2	1	no	—
620	C₂²⋊Dic₅	—	2	1	no	—
621	C₂²⋊Dic₅	—	2	1	no	—
622	C₂²⋊Dic₅	—	2	1	no	—
623	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
624	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
625	#688	—	2	2	no	—
626	#686	—	2	2	no	—
627	#685	—	2	1	no	—
628	#685	—	2	1	no	—
629	#685	—	2	1	no	—
630	#685	—	2	1	no	—
631	#685	—	2	1	no	—
632	#685	—	2	1	no	—
633	#685	—	2	1	no	—
634	#685	—	2	1	no	—
635	#685	—	2	1	no	—
636	#685	—	2	1	no	—
637	#685	—	2	1	no	—
638	#685	—	2	1	no	—
639	#685	—	2	1	no	—
640	#685	—	2	1	no	—
641	#685	—	2	1	no	—
642	#685	—	2	1	no	—
643	#685	—	2	1	no	—
644	#685	—	2	1	no	—
645	#685	—	2	1	no	—
646	#685	—	2	1	no	—
647	#685	—	2	1	no	—
648	#685	—	2	1	no	—
649	#685	—	2	1	no	—
650	#685	C₂×D₄	1	1	yes	characteristic
651	#685	C₂×D₄	1	1	yes	characteristic
652	#685	C₂×D₄	1	1	yes	characteristic
653	#685	C₂×D₄	1	1	yes	characteristic
654	C₄⋊Dic₅	—	2	1	no	—
655	C₄⋊Dic₅	—	2	1	no	—
656	C₄⋊Dic₅	—	2	1	no	—
657	C₄⋊Dic₅	—	2	1	no	—
658	C₄⋊Dic₅	—	2	1	no	—
659	C₄⋊Dic₅	—	2	1	no	—
660	C₄⋊Dic₅	—	2	1	no	—
661	C₄⋊Dic₅	—	2	1	no	—
662	C₄⋊Dic₅	—	2	1	no	—
663	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
664	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
665	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
666	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
667	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
668	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
669	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
670	#683	—	2	1	no	—
671	#683	—	2	1	no	—
672	#683	—	2	1	no	—
673	#683	—	2	1	no	—
674	#683	—	2	1	no	—
675	#683	—	2	1	no	—
676	#683	—	2	1	no	—
677	#683	—	2	1	no	—
678	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	C₂×D₄	1	1	yes	characteristic
684	#683	C₂×D₄	1	1	yes	characteristic
685	C₄×Dic₅	—	2	1	no	—
686	C₄×Dic₅	—	2	1	no	—
687	C₄×Dic₅	—	2	1	no	—
688	C₄×Dic₅	—	2	1	no	—
689	C₄×Dic₅	—	2	1	no	—
690	C₄×Dic₅	—	2	1	no	—
691	C₄×Dic₅	—	2	1	no	—
692	C₄×Dic₅	—	2	1	no	—
693	C₄×Dic₅	—	2	1	no	—
694	C₄×Dic₅	—	2	1	no	—
695	C₄×Dic₅	—	2	1	no	—
696	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
697	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
698	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
699	#681	—	2	2	no	—
700	C₂×#168	—	2	2	no	—
701	C₂×#168	C₂⁴	1	1	yes	characteristic
702	C₂×#168	C₂⁴	1	1	yes	characteristic
703	C₂×#168	C₂⁴	1	1	yes	characteristic
704	C₂×#168	C₂⁴	1	1	yes	characteristic
705	D₄₀	—	2	2	no	—
706	#676	—	2	2	no	—
707	#676	—	2	2	no	—
708	#676	—	2	2	no	—
709	#676	—	2	2	no	—
710	#676	—	2	2	no	—
711	#676	#41	1	4	yes	complemented
712	C₈×D₅	—	2	2	no	—
713	C₈×D₅	—	2	2	no	—
714	C₂×AGL(1,ℤ/8)	—	5	1	no	—
715	C₂²×M₁₆	—	5	1	no	—
716	C₂²×M₁₆	—	5	1	no	—
717	#556	—	5	1	no	—
718	#555	—	5	1	no	—
719	#554	C₂×D₅	1	1	yes	characteristic, complemented
720	#553	—	5	1	no	—
721	#553	—	5	1	no	—
722	#553	—	5	1	no	—
723	#553	—	5	1	no	—
724	#553	—	5	1	no	—
725	#553	—	5	1	no	—
726	#553	—	5	1	no	—
727	#553	—	5	1	no	—
728	#553	—	5	1	no	—
729	#553	—	10	1	no	—
730	#553	—	10	1	no	—
731	#553	—	10	1	no	—
732	#553	—	10	1	no	—
733	#553	C₂×D₅	1	1	yes	characteristic
734	#552	—	5	1	no	—
735	#552	—	5	1	no	—
736	#552	—	10	1	no	—
737	#551	—	10	1	no	—
738	#551	—	10	1	no	—
739	#547	—	5	1	no	—
740	#546	—	10	1	no	—
741	#533	—	5	1	no	—
742	#529	—	10	1	no	—
743	#529	—	10	1	no	—
744	#529	—	10	1	no	—
745	C₂×#126	—	10	1	no	—
746	C₂×#125	—	5	1	no	—
747	#525	—	5	1	no	—
748	#525	—	5	1	no	—
749	C₂×#123	—	10	1	no	—
750	C₂×#121	—	5	1	no	—
751	C₂×#121	—	5	1	no	—
752	C₂×#121	—	10	1	no	—
753	C₄×#41	—	5	1	no	—
754	C₄×#41	—	10	1	no	—
755	C₂×C₄×D₄	—	5	1	no	—
756	C₂×C₄×D₄	—	5	1	no	—
757	C₂×C₄×D₄	—	10	1	no	—
758	C₂×#117	—	5	1	no	—
759	C₂×#117	—	5	1	no	—
760	C₂×#117	—	5	1	no	—
761	C₂²×C₄⋊C₄	—	5	1	no	—
762	#501	—	5	1	no	—
763	#501	—	5	1	no	—
764	#501	—	5	1	no	—
765	#501	C₂×D₅	1	1	yes	characteristic, complemented
766	#499	—	5	1	no	—
767	#499	—	5	1	no	—
768	#499	—	5	1	no	—
769	#499	—	5	1	no	—
770	#485	—	5	1	no	—
771	#485	—	5	1	no	—
772	#485	—	5	1	no	—
773	#485	C₂×D₅	1	1	yes	characteristic, complemented
774	#484	—	5	1	no	—
775	#484	C₂×D₅	1	1	yes	characteristic, complemented
776	#483	—	5	1	no	—
777	#483	—	5	1	no	—
778	#482	—	5	1	no	—
779	#482	—	5	1	no	—
780	#482	—	5	1	no	—
781	#482	—	5	1	no	—
782	#482	—	5	1	no	—
783	#482	—	5	1	no	—
784	#482	—	5	1	no	—
785	#482	—	5	1	no	—
786	#482	—	5	1	no	—
787	#482	—	5	1	no	—
788	#482	—	5	1	no	—
789	#482	—	5	1	no	—
790	#481	—	5	1	no	—
791	#481	—	5	1	no	—
792	#481	—	5	1	no	—
793	#481	—	5	1	no	—
794	#481	—	5	1	no	—
795	#481	C₂×D₅	1	1	yes	characteristic, complemented
796	#480	—	5	1	no	—
797	#480	—	5	1	no	—
798	#480	—	5	1	no	—
799	#480	—	5	1	no	—
800	#480	—	5	1	no	—
801	#480	C₂×D₅	1	1	yes	characteristic, complemented
802	#479	—	5	1	no	—
803	#479	—	5	1	no	—
804	#479	—	5	1	no	—
805	#479	C₂×D₅	1	1	yes	characteristic, complemented
806	#478	—	5	1	no	—
807	#478	—	5	1	no	—
808	#478	—	5	1	no	—
809	#478	—	5	1	no	—
810	#478	—	5	1	no	—
811	#478	—	5	1	no	—
812	#478	—	5	1	no	—
813	#478	—	5	1	no	—
814	#476	—	5	1	no	—
815	#476	—	5	1	no	—
816	#474	—	5	1	no	—
817	#474	C₂×D₅	1	1	yes	characteristic, complemented
818	#469	—	5	1	no	—
819	#469	—	5	1	no	—
820	#469	—	5	1	no	—
821	#469	—	5	1	no	—
822	#468	—	5	1	no	—
823	#468	—	5	1	no	—
824	#468	—	5	1	no	—
825	#468	C₂×D₅	1	1	yes	characteristic, complemented
826	#466	—	5	1	no	—
827	#466	—	5	1	no	—
828	#466	—	5	1	no	—
829	#466	—	5	1	no	—
830	#465	—	5	1	no	—
831	#465	—	5	1	no	—
832	#465	—	5	1	no	—
833	#465	C₂×D₅	1	1	yes	characteristic, complemented
834	#442	—	5	1	no	—
835	#442	—	5	1	no	—
836	#440	—	5	1	no	—
837	#440	C₂×D₅	1	1	yes	characteristic, complemented
838	C₄×SD₁₆	—	5	1	no	—
839	C₄×SD₁₆	—	5	1	no	—
840	C₄×D₈	—	5	1	no	—
841	C₄×D₈	—	5	1	no	—
842	#436	—	5	1	no	—
843	#436	—	5	1	no	—
844	#435	—	5	1	no	—
845	#435	—	5	1	no	—
846	#435	—	5	1	no	—
847	#435	C₂×D₅	1	1	yes	characteristic, complemented
848	C₈×D₄	—	5	1	no	—
849	C₈×D₄	—	5	1	no	—
850	#428	—	5	1	no	—
851	#428	—	5	1	no	—
852	#428	—	5	1	no	—
853	#428	—	5	1	no	—
854	#428	—	5	1	no	—
855	#428	—	5	1	no	—
856	#428	—	5	1	no	—
857	#428	—	5	1	no	—
858	#428	—	5	1	no	—
859	#428	—	5	1	no	—
860	#428	—	5	1	no	—
861	#428	—	5	1	no	—
862	#428	—	5	1	no	—
863	#428	—	5	1	no	—
864	#428	—	5	1	no	—
865	#428	—	5	1	no	—
866	#428	C₂×D₅	1	1	yes	characteristic, complemented
867	#427	—	5	1	no	—
868	#427	—	5	1	no	—
869	#427	—	5	1	no	—
870	#427	—	5	1	no	—
871	C₂×#107	—	5	1	no	—
872	C₂×#107	C₂×D₅	1	1	yes	characteristic, complemented
873	C₂×#106	—	5	1	no	—
874	C₂×#106	—	5	1	no	—
875	#423	—	5	1	no	—
876	#418	—	5	1	no	—
877	#418	—	5	1	no	—
878	#418	—	5	1	no	—
879	#417	—	5	1	no	—
880	#417	—	5	1	no	—
881	#417	—	5	1	no	—
882	#407	—	5	1	no	—
883	#407	—	5	1	no	—
884	C₄×M₁₆	—	5	1	no	—
885	C₂³×C₅	—	2	1	no	—
886	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
887	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
888	C₂²×D₅	—	2	2	no	—
889	C₂²×D₅	—	2	2	no	—
890	C₂²×D₅	—	2	2	no	—
891	C₂²×D₅	—	2	1	no	—
892	C₂²×D₅	—	2	1	no	—
893	C₂²×D₅	—	4	1	no	—
894	C₂²×D₅	—	4	1	no	—
895	C₂²×D₅	—	4	1	no	—
896	C₂²×D₅	—	4	2	no	—
897	C₂²×D₅	—	4	2	no	—
898	C₂²×D₅	—	4	2	no	—
899	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
900	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
901	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
902	C₅×Q₈	—	2	1	no	—
903	C₅×Q₈	—	2	1	no	—
904	C₅×Q₈	—	8	1	no	—
905	C₅×D₄	—	2	2	no	—
906	C₅×D₄	—	2	1	no	—
907	C₅×D₄	—	2	1	no	—
908	C₅×D₄	—	4	2	no	—
909	C₅×D₄	—	8	1	no	—
910	C₂×C₄×C₅	—	2	1	no	—
911	C₂×C₄×C₅	—	2	1	no	—
912	C₂×C₄×C₅	—	2	1	no	—
913	C₂×C₄×C₅	—	2	1	no	—
914	C₂×C₄×C₅	—	2	1	no	—
915	C₂×C₄×C₅	—	2	1	no	—
916	C₂×C₄×C₅	—	2	1	no	—
917	C₂×C₄×C₅	—	2	1	no	—
918	C₂×C₄×C₅	—	2	1	no	—
919	C₂×C₄×C₅	—	2	1	no	—
920	C₂×C₄×C₅	—	2	1	no	—
921	C₂×C₄×C₅	—	8	1	no	—
922	C₂×C₄×C₅	—	8	1	no	—
923	C₂×C₄×C₅	—	8	1	no	—
924	C₂×C₄×C₅	—	8	1	no	—
925	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
926	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
927	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
928	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
929	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
930	C₂²⋊D₅	—	2	2	no	—
931	C₂²⋊D₅	—	4	1	no	—
932	C₂²⋊D₅	—	4	2	no	—
933	C₂²⋊D₅	—	4	2	no	—
934	C₂²⋊D₅	—	4	2	no	—
935	C₂²⋊D₅	—	4	2	no	—
936	C₂²⋊D₅	—	4	2	no	—
937	C₂²⋊D₅	—	8	1	no	—
938	C₂²⋊D₅	—	8	1	no	—
939	C₂×Dic₅	—	2	2	no	—
940	C₂×Dic₅	—	2	2	no	—
941	C₂×Dic₅	—	2	1	no	—
942	C₂×Dic₅	—	2	1	no	—
943	C₂×Dic₅	—	2	1	no	—
944	C₂×Dic₅	—	2	1	no	—
945	C₂×Dic₅	—	2	1	no	—
946	C₂×Dic₅	—	2	1	no	—
947	C₂×Dic₅	—	4	2	no	—
948	C₂×Dic₅	—	4	2	no	—
949	C₂×Dic₅	—	8	1	no	—
950	C₂×Dic₅	—	8	1	no	—
951	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
952	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
953	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
954	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
955	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
956	D₂₀	—	2	1	no	—
957	D₂₀	—	2	1	no	—
958	D₂₀	—	2	1	no	—
959	D₂₀	—	2	1	no	—
960	D₂₀	—	4	1	no	—
961	D₂₀	—	4	2	no	—
962	D₂₀	—	4	2	no	—
963	D₂₀	—	8	1	no	—
964	D₂₀	—	8	1	no	—
965	D₂₀	—	8	1	no	—
966	C₄×D₅	—	2	2	no	—
967	C₄×D₅	—	2	2	no	—
968	C₄×D₅	—	2	1	no	—
969	C₄×D₅	—	2	1	no	—
970	C₄×D₅	—	2	1	no	—
971	C₄×D₅	—	2	1	no	—
972	C₄×D₅	—	2	2	no	—
973	C₄×D₅	—	2	2	no	—
974	C₄×D₅	—	4	1	no	—
975	C₄×D₅	—	4	1	no	—
976	C₄×D₅	—	4	2	no	—
977	C₄×D₅	—	4	2	no	—
978	C₄×D₅	—	4	2	no	—
979	C₄×D₅	—	4	2	no	—
980	C₄×D₅	—	4	2	no	—
981	C₄×D₅	—	8	1	no	—
982	C₄×D₅	—	8	1	no	—
983	C₄×D₅	—	8	1	no	—
984	C₄×D₅	—	8	1	no	—
985	C₄×D₅	—	8	1	no	—
986	C₄×D₅	C₂×#41	1	2	yes	—
987	C₄×D₅	2₋¹⁺⁴	1	2	yes	—
988	Dic₁₀	—	4	2	no	—
989	C₅×C₈	—	2	1	no	—
990	C₅×C₈	—	2	1	no	—
991	C₅×C₈	—	2	1	no	—
992	C₅×C₈	C₂×#41	1	2	yes	—
993	#168	—	2	1	no	—
994	#168	—	2	1	no	—
995	#168	—	2	1	no	—
996	#168	C₂×#41	1	2	yes	—
997	C₂×#41	—	5	1	no	—
998	C₂×#41	—	10	1	no	—
999	C₂²×D₄	—	5	1	no	—
1000	C₂²×D₄	—	5	1	no	—
1001	C₂²×D₄	—	10	1	no	—
1002	C₂²×D₄	—	10	1	no	—
1003	C₂³×C₄	—	5	1	no	—
1004	C₂³×C₄	—	5	1	no	—
1005	C₂³×C₄	—	10	1	no	—
1006	C₂³×C₄	—	10	1	no	—
1007	AGL(1,ℤ/8)	—	10	4	no	—
1008	C₂×SD₁₆	—	5	1	no	—
1009	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1010	C₂×D₈	—	5	1	no	—
1011	C₂×D₈	—	5	1	no	—
1012	C₂×M₁₆	—	5	1	no	—
1013	C₂×M₁₆	—	5	1	no	—
1014	C₂×M₁₆	—	5	1	no	—
1015	C₂×M₁₆	—	5	1	no	—
1016	C₂×M₁₆	—	5	1	no	—
1017	C₂×M₁₆	—	5	1	no	—
1018	C₂×M₁₆	—	5	1	no	—
1019	C₂×M₁₆	—	10	4	no	—
1020	C₂×M₁₆	—	10	4	no	—
1021	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1022	C₂²×C₈	—	5	1	no	—
1023	C₂²×C₈	—	5	1	no	—
1024	C₂²×C₈	—	5	1	no	—
1025	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1026	C₄⋊Q₈	—	5	1	no	—
1027	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1028	#126	—	2	1	no	—
1029	#126	—	10	1	no	—
1030	#126	—	10	1	no	—
1031	#126	—	10	1	no	—
1032	#126	—	10	1	no	—
1033	#126	—	10	1	no	—
1034	#126	—	10	1	no	—
1035	#126	—	10	1	no	—
1036	#126	—	10	1	no	—
1037	#126	—	10	1	no	—
1038	#126	—	10	1	no	—
1039	#126	—	10	1	no	—
1040	#126	—	10	1	no	—
1041	#126	—	10	1	no	—
1042	#125	—	2	1	no	—
1043	#125	—	5	1	no	—
1044	#125	—	5	1	no	—
1045	#125	—	5	1	no	—
1046	#125	—	5	1	no	—
1047	#125	—	5	1	no	—
1048	#125	—	10	1	no	—
1049	#125	—	10	1	no	—
1050	#125	—	10	1	no	—
1051	#125	—	10	1	no	—
1052	#125	C₂²×D₅	1	1	yes	characteristic
1053	#124	—	10	1	no	—
1054	#124	—	10	1	no	—
1055	#124	—	10	1	no	—
1056	#123	—	2	1	no	—
1057	#123	—	10	1	no	—
1058	#123	—	10	1	no	—
1059	#123	—	10	1	no	—
1060	#123	—	10	1	no	—
1061	#123	—	10	1	no	—
1062	#123	—	10	1	no	—
1063	#123	—	10	1	no	—
1064	#123	—	10	1	no	—
1065	#123	—	10	1	no	—
1066	#123	—	10	1	no	—
1067	#123	—	10	1	no	—
1068	#123	—	10	1	no	—
1069	#123	—	10	1	no	—
1070	#123	—	10	1	no	—
1071	#123	—	10	1	no	—
1072	C₂²⋊Q₈	—	2	1	no	—
1073	C₂²⋊Q₈	—	2	1	no	—
1074	C₂²⋊Q₈	—	5	1	no	—
1075	C₂²⋊Q₈	—	5	1	no	—
1076	C₂²⋊Q₈	—	10	1	no	—
1077	C₂²⋊Q₈	—	10	1	no	—
1078	C₂²⋊Q₈	—	10	1	no	—
1079	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1080	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1081	#121	—	2	1	no	—
1082	#121	—	5	1	no	—
1083	#121	—	5	1	no	—
1084	#121	—	5	1	no	—
1085	#121	—	5	1	no	—
1086	#121	—	5	1	no	—
1087	#121	—	5	1	no	—
1088	#121	—	5	1	no	—
1089	#121	—	5	1	no	—
1090	#121	—	5	1	no	—
1091	#121	—	5	1	no	—
1092	#121	—	10	1	no	—
1093	#121	—	10	1	no	—
1094	#121	—	10	1	no	—
1095	#121	—	10	1	no	—
1096	#121	—	10	1	no	—
1097	#121	—	10	1	no	—
1098	#121	—	10	1	no	—
1099	#121	—	10	1	no	—
1100	#121	—	10	1	no	—
1101	#121	—	10	1	no	—
1102	#121	—	10	1	no	—
1103	#121	—	10	1	no	—
1104	#121	—	10	1	no	—
1105	#121	—	10	1	no	—
1106	#121	C₂²×D₅	1	1	yes	characteristic
1107	#121	C₂²×D₅	1	1	yes	characteristic
1108	#120	—	10	1	no	—
1109	#120	—	10	1	no	—
1110	C₄×Q₈	—	5	1	no	—
1111	C₄×Q₈	—	10	1	no	—
1112	C₄×Q₈	—	10	1	no	—
1113	C₄×Q₈	—	10	1	no	—
1114	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1115	C₄×D₄	—	2	1	no	—
1116	C₄×D₄	—	2	1	no	—
1117	C₄×D₄	—	5	1	no	—
1118	C₄×D₄	—	5	1	no	—
1119	C₄×D₄	—	5	1	no	—
1120	C₄×D₄	—	5	1	no	—
1121	C₄×D₄	—	5	1	no	—
1122	C₄×D₄	—	5	1	no	—
1123	C₄×D₄	—	5	1	no	—
1124	C₄×D₄	—	5	1	no	—
1125	C₄×D₄	—	5	1	no	—
1126	C₄×D₄	—	5	1	no	—
1127	C₄×D₄	—	5	1	no	—
1128	C₄×D₄	—	5	1	no	—
1129	C₄×D₄	—	10	1	no	—
1130	C₄×D₄	—	10	1	no	—
1131	C₄×D₄	—	10	1	no	—
1132	C₄×D₄	—	10	1	no	—
1133	C₄×D₄	—	10	1	no	—
1134	C₄×D₄	—	10	1	no	—
1135	C₄×D₄	—	10	1	no	—
1136	C₄×D₄	—	10	1	no	—
1137	C₄×D₄	—	10	1	no	—
1138	C₄×D₄	—	10	1	no	—
1139	C₄×D₄	—	10	1	no	—
1140	C₄×D₄	—	10	1	no	—
1141	C₄×D₄	—	10	1	no	—
1142	C₄×D₄	—	10	1	no	—
1143	C₄×D₄	—	10	1	no	—
1144	C₄×D₄	—	10	1	no	—
1145	C₄×D₄	—	10	1	no	—
1146	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1147	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1148	#117	—	5	1	no	—
1149	#117	—	5	1	no	—
1150	#117	—	5	1	no	—
1151	#117	—	5	1	no	—
1152	#117	—	5	1	no	—
1153	#117	—	5	1	no	—
1154	#117	—	5	1	no	—
1155	#117	—	5	1	no	—
1156	#117	—	5	1	no	—
1157	#117	—	5	1	no	—
1158	#117	—	10	1	no	—
1159	#117	—	10	1	no	—
1160	#117	—	10	1	no	—
1161	#117	—	10	1	no	—
1162	#117	—	10	1	no	—
1163	#117	—	10	1	no	—
1164	#117	—	10	1	no	—
1165	#117	—	10	1	no	—
1166	#117	—	10	1	no	—
1167	#117	—	10	1	no	—
1168	#117	C₂²×D₅	1	1	yes	characteristic
1169	C₂×C₄⋊C₄	—	5	1	no	—
1170	C₂×C₄⋊C₄	—	5	1	no	—
1171	C₂×C₄⋊C₄	—	5	1	no	—
1172	C₂×C₄⋊C₄	—	5	1	no	—
1173	C₂×C₄⋊C₄	—	5	1	no	—
1174	C₂×C₄⋊C₄	—	5	1	no	—
1175	C₂×C₄⋊C₄	—	5	1	no	—
1176	C₂×C₄⋊C₄	—	5	1	no	—
1177	C₂×C₄⋊C₄	—	5	1	no	—
1178	C₂×C₄⋊C₄	—	10	1	no	—
1179	C₂×C₄⋊C₄	—	10	1	no	—
1180	C₂×C₄⋊C₄	—	10	1	no	—
1181	C₂×C₄⋊C₄	—	10	1	no	—
1182	C₂×C₄⋊C₄	—	10	1	no	—
1183	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1184	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1185	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1186	C₂×C₂²⋊C₄	—	5	1	no	—
1187	C₂×C₂²⋊C₄	—	5	1	no	—
1188	C₂×C₂²⋊C₄	—	10	1	no	—
1189	C₂×C₂²⋊C₄	—	10	1	no	—
1190	C₂×C₂²⋊C₄	—	10	1	no	—
1191	C₂×C₂²⋊C₄	—	10	1	no	—
1192	C₂×C₂²⋊C₄	—	10	1	no	—
1193	C₂×C₂²⋊C₄	—	10	1	no	—
1194	C₂×C₄²	—	5	1	no	—
1195	C₂×C₄²	—	10	1	no	—
1196	C₂×C₄²	—	10	1	no	—
1197	C₂×C₄²	—	10	1	no	—
1198	C₂×C₄²	—	10	1	no	—
1199	#107	—	5	1	no	—
1200	#107	—	5	1	no	—
1201	#107	—	5	1	no	—
1202	#107	—	5	1	no	—
1203	#107	—	5	1	no	—
1204	#107	—	5	1	no	—
1205	#107	—	5	1	no	—
1206	#107	—	5	1	no	—
1207	#107	—	5	1	no	—
1208	#107	—	5	1	no	—
1209	#107	—	5	1	no	—
1210	#107	—	5	1	no	—
1211	#107	C₂²×D₅	1	1	yes	characteristic
1212	#107	C₂²×D₅	1	1	yes	characteristic
1213	#107	C₂²×D₅	1	1	yes	characteristic
1214	#107	C₂²×D₅	1	1	yes	characteristic
1215	#107	C₂²×D₅	1	1	yes	characteristic
1216	#107	C₂²×D₅	1	1	yes	characteristic
1217	#106	—	5	1	no	—
1218	#106	—	5	1	no	—
1219	#106	—	5	1	no	—
1220	#106	—	5	1	no	—
1221	#106	—	5	1	no	—
1222	#106	—	5	1	no	—
1223	#106	—	5	1	no	—
1224	#106	—	5	1	no	—
1225	#106	—	5	1	no	—
1226	#106	—	5	1	no	—
1227	#106	—	5	1	no	—
1228	#106	—	5	1	no	—
1229	#106	—	5	1	no	—
1230	#106	—	5	1	no	—
1231	#106	—	5	1	no	—
1232	#106	C₂²×D₅	1	1	yes	characteristic
1233	#106	C₂²×D₅	1	1	yes	characteristic
1234	#106	C₂²×D₅	1	1	yes	characteristic
1235	C₄⋊C₈	—	5	1	no	—
1236	C₄⋊C₈	—	5	1	no	—
1237	C₄⋊C₈	—	5	1	no	—
1238	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1239	#103	—	5	1	no	—
1240	#103	—	5	1	no	—
1241	#103	—	5	1	no	—
1242	#103	C₂²×D₅	1	1	yes	characteristic
1243	#103	C₂²×D₅	1	1	yes	characteristic
1244	#103	C₂²×D₅	1	1	yes	characteristic
1245	#102	—	5	1	no	—
1246	#102	—	5	1	no	—
1247	#102	—	5	1	no	—
1248	#102	—	5	1	no	—
1249	#102	—	5	1	no	—
1250	#102	—	5	1	no	—
1251	#102	—	5	1	no	—
1252	#102	—	5	1	no	—
1253	#102	—	5	1	no	—
1254	#102	—	5	1	no	—
1255	#102	—	5	1	no	—
1256	#102	—	5	1	no	—
1257	#102	—	5	1	no	—
1258	#102	—	5	1	no	—
1259	#102	—	5	1	no	—
1260	#102	C₂²×D₅	1	1	yes	characteristic
1261	#102	C₂²×D₅	1	1	yes	characteristic
1262	#102	C₂²×D₅	1	1	yes	characteristic
1263	C₂²⋊C₈	—	5	1	no	—
1264	C₂²⋊C₈	—	5	1	no	—
1265	C₂²⋊C₈	—	5	1	no	—
1266	C₂²⋊C₈	—	5	1	no	—
1267	C₂²⋊C₈	—	5	1	no	—
1268	C₂²⋊C₈	—	5	1	no	—
1269	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1270	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1271	#97	—	5	1	no	—
1272	#97	C₂²×D₅	1	1	yes	characteristic
1273	C₄×C₈	—	5	1	no	—
1274	C₄×C₈	—	5	1	no	—
1275	C₂²×C₅	—	2	1	no	—
1276	C₂²×C₅	—	2	1	no	—
1277	C₂²×C₅	—	2	1	no	—
1278	C₂²×C₅	—	2	1	no	—
1279	C₂²×C₅	—	2	1	no	—
1280	C₂²×C₅	—	4	1	no	—
1281	C₂²×C₅	—	4	1	no	—
1282	C₂²×C₅	—	4	1	no	—
1283	C₂²×C₅	#575	1	2	yes	—
1284	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1285	C₂×D₅	—	2	1	no	—
1286	C₂×D₅	—	2	1	no	—
1287	C₂×D₅	—	2	1	no	—
1288	C₂×D₅	—	2	1	no	—
1289	C₂×D₅	—	2	1	no	—
1290	C₂×D₅	—	2	1	no	—
1291	C₂×D₅	—	2	1	no	—
1292	C₂×D₅	—	2	1	no	—
1293	C₂×D₅	—	4	4	no	—
1294	C₂×D₅	—	4	1	no	—
1295	C₂×D₅	—	4	1	no	—
1296	C₂×D₅	—	4	1	no	—
1297	C₂×D₅	—	4	1	no	—
1298	C₂×D₅	—	4	1	no	—
1299	C₂×D₅	—	4	1	no	—
1300	C₂×D₅	—	8	2	no	—
1301	C₂×D₅	—	8	4	no	—
1302	C₂×D₅	#547	1	2	yes	—
1303	C₄×C₅	—	2	1	no	—
1304	C₄×C₅	—	2	1	no	—
1305	C₄×C₅	—	2	1	no	—
1306	C₄×C₅	—	2	1	no	—
1307	C₄×C₅	—	4	1	no	—
1308	C₄×C₅	—	4	1	no	—
1309	C₄×C₅	—	4	1	no	—
1310	C₄×C₅	—	4	1	no	—
1311	C₄×C₅	—	4	1	no	—
1312	C₄×C₅	—	4	1	no	—
1313	C₄×C₅	—	4	1	no	—
1314	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1315	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1316	Dic₅	—	2	1	no	—
1317	Dic₅	—	2	1	no	—
1318	Dic₅	—	2	1	no	—
1319	Dic₅	—	2	1	no	—
1320	Dic₅	—	4	1	no	—
1321	Dic₅	—	4	1	no	—
1322	Dic₅	—	4	1	no	—
1323	Dic₅	—	4	1	no	—
1324	Dic₅	—	4	1	no	—
1325	Dic₅	—	4	1	no	—
1326	Dic₅	#547	1	2	yes	—
1327	C₂⁴	—	5	1	no	—
1328	C₂⁴	—	5	1	no	—
1329	C₂⁴	—	10	1	no	—
1330	#41	—	10	2	no	—
1331	#41	—	10	2	no	—
1332	#41	—	20	4	no	—
1333	C₂×Q₈	—	2	1	no	—
1334	C₂×Q₈	—	10	1	no	—
1335	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1336	C₂×D₄	—	2	1	no	—
1337	C₂×D₄	—	2	1	no	—
1338	C₂×D₄	—	5	1	no	—
1339	C₂×D₄	—	5	1	no	—
1340	C₂×D₄	—	5	1	no	—
1341	C₂×D₄	—	5	1	no	—
1342	C₂×D₄	—	5	1	no	—
1343	C₂×D₄	—	10	1	no	—
1344	C₂×D₄	—	10	1	no	—
1345	C₂×D₄	—	10	1	no	—
1346	C₂×D₄	—	10	1	no	—
1347	C₂×D₄	—	10	1	no	—
1348	C₂×D₄	—	10	2	no	—
1349	C₂×D₄	—	10	2	no	—
1350	C₂×D₄	—	10	1	no	—
1351	C₂×D₄	—	10	1	no	—
1352	C₂×D₄	—	10	1	no	—
1353	C₂×D₄	—	10	1	no	—
1354	C₂×D₄	—	10	1	no	—
1355	C₂×D₄	—	10	1	no	—
1356	C₂×D₄	—	10	1	no	—
1357	C₂×D₄	—	20	2	no	—
1358	C₂×D₄	—	20	4	no	—
1359	C₂×D₄	—	40	2	no	—
1360	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1361	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1362	C₂²×C₄	—	2	1	no	—
1363	C₂²×C₄	—	2	1	no	—
1364	C₂²×C₄	—	2	1	no	—
1365	C₂²×C₄	—	2	1	no	—
1366	C₂²×C₄	—	5	1	no	—
1367	C₂²×C₄	—	5	1	no	—
1368	C₂²×C₄	—	5	1	no	—
1369	C₂²×C₄	—	5	1	no	—
1370	C₂²×C₄	—	5	1	no	—
1371	C₂²×C₄	—	5	1	no	—
1372	C₂²×C₄	—	5	1	no	—
1373	C₂²×C₄	—	5	1	no	—
1374	C₂²×C₄	—	5	1	no	—
1375	C₂²×C₄	—	5	1	no	—
1376	C₂²×C₄	—	5	1	no	—
1377	C₂²×C₄	—	10	2	no	—
1378	C₂²×C₄	—	10	2	no	—
1379	C₂²×C₄	—	10	2	no	—
1380	C₂²×C₄	—	10	2	no	—
1381	C₂²×C₄	—	10	1	no	—
1382	C₂²×C₄	—	10	1	no	—
1383	C₂²×C₄	—	10	1	no	—
1384	C₂²×C₄	—	10	1	no	—
1385	C₂²×C₄	—	10	1	no	—
1386	C₂²×C₄	—	10	1	no	—
1387	C₂²×C₄	—	10	1	no	—
1388	C₂²×C₄	—	10	1	no	—
1389	C₂²×C₄	—	10	1	no	—
1390	C₂²×C₄	—	10	1	no	—
1391	C₂²×C₄	—	10	1	no	—
1392	C₂²×C₄	—	10	1	no	—
1393	C₂²×C₄	—	10	1	no	—
1394	C₂²×C₄	—	10	1	no	—
1395	C₂²×C₄	—	40	2	no	—
1396	C₂²×C₄	—	40	2	no	—
1397	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1398	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1399	SD₁₆	—	2	2	no	—
1400	SD₁₆	—	10	2	no	—
1401	D₈	—	10	2	no	—
1402	D₈	—	10	2	no	—
1403	M₁₆	—	2	2	no	—
1404	M₁₆	—	5	4	no	—
1405	M₁₆	—	10	2	no	—
1406	M₁₆	—	10	2	no	—
1407	M₁₆	—	10	2	no	—
1408	M₁₆	—	10	2	no	—
1409	M₁₆	—	10	2	no	—
1410	M₁₆	—	10	2	no	—
1411	C₂×C₈	—	2	2	no	—
1412	C₂×C₈	—	5	1	no	—
1413	C₂×C₈	—	5	1	no	—
1414	C₂×C₈	—	5	1	no	—
1415	C₂×C₈	—	5	1	no	—
1416	C₂×C₈	—	10	2	no	—
1417	C₂×C₈	—	10	2	no	—
1418	C₂×C₈	—	10	2	no	—
1419	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1420	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1421	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1422	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	5	1	no	—
1433	C₄⋊C₄	—	5	1	no	—
1434	C₄⋊C₄	—	5	1	no	—
1435	C₄⋊C₄	—	5	1	no	—
1436	C₄⋊C₄	—	5	1	no	—
1437	C₄⋊C₄	—	5	1	no	—
1438	C₄⋊C₄	—	5	1	no	—
1439	C₄⋊C₄	—	5	1	no	—
1440	C₄⋊C₄	—	5	1	no	—
1441	C₄⋊C₄	—	10	1	no	—
1442	C₄⋊C₄	—	10	1	no	—
1443	C₄⋊C₄	—	10	1	no	—
1444	C₄⋊C₄	—	10	1	no	—
1445	C₄⋊C₄	—	10	1	no	—
1446	C₄⋊C₄	—	10	1	no	—
1447	C₄⋊C₄	—	10	1	no	—
1448	C₄⋊C₄	—	10	1	no	—
1449	C₄⋊C₄	—	10	1	no	—
1450	C₄⋊C₄	—	10	1	no	—
1451	C₄⋊C₄	—	10	1	no	—
1452	C₄⋊C₄	—	10	1	no	—
1453	C₄⋊C₄	—	10	1	no	—
1454	C₄⋊C₄	—	10	1	no	—
1455	C₄⋊C₄	—	10	1	no	—
1456	C₄⋊C₄	—	10	1	no	—
1457	C₄⋊C₄	—	10	1	no	—
1458	C₄⋊C₄	—	10	1	no	—
1459	C₄⋊C₄	—	10	1	no	—
1460	C₄⋊C₄	—	10	1	no	—
1461	C₄⋊C₄	—	10	1	no	—
1462	C₄⋊C₄	—	10	1	no	—
1463	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1464	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1465	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1466	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1467	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1468	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1469	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	5	1	no	—
1477	C₂²⋊C₄	—	5	1	no	—
1478	C₂²⋊C₄	—	5	1	no	—
1479	C₂²⋊C₄	—	5	1	no	—
1480	C₂²⋊C₄	—	5	1	no	—
1481	C₂²⋊C₄	—	5	1	no	—
1482	C₂²⋊C₄	—	10	1	no	—
1483	C₂²⋊C₄	—	10	1	no	—
1484	C₂²⋊C₄	—	10	1	no	—
1485	C₂²⋊C₄	—	10	1	no	—
1486	C₂²⋊C₄	—	10	1	no	—
1487	C₂²⋊C₄	—	10	1	no	—
1488	C₂²⋊C₄	—	10	1	no	—
1489	C₂²⋊C₄	—	10	1	no	—
1490	C₂²⋊C₄	—	10	1	no	—
1491	C₂²⋊C₄	—	10	1	no	—
1492	C₂²⋊C₄	—	10	1	no	—
1493	C₂²⋊C₄	—	10	1	no	—
1494	C₂²⋊C₄	—	10	1	no	—
1495	C₂²⋊C₄	—	10	1	no	—
1496	C₂²⋊C₄	—	10	1	no	—
1497	C₂²⋊C₄	—	10	1	no	—
1498	C₂²⋊C₄	—	10	1	no	—
1499	C₂²⋊C₄	—	10	1	no	—
1500	C₂²⋊C₄	—	10	1	no	—
1501	C₂²⋊C₄	—	10	1	no	—
1502	C₂²⋊C₄	—	10	1	no	—
1503	C₂²⋊C₄	—	10	1	no	—
1504	C₂²⋊C₄	—	10	1	no	—
1505	C₂²⋊C₄	—	10	1	no	—
1506	C₂²⋊C₄	—	10	1	no	—
1507	C₂²⋊C₄	—	10	1	no	—
1508	C₂²⋊C₄	—	10	1	no	—
1509	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1510	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1511	C₄²	—	2	1	no	—
1512	C₄²	—	2	1	no	—
1513	C₄²	—	5	1	no	—
1514	C₄²	—	5	1	no	—
1515	C₄²	—	5	1	no	—
1516	C₄²	—	10	1	no	—
1517	C₄²	—	10	1	no	—
1518	C₄²	—	10	1	no	—
1519	C₄²	—	10	1	no	—
1520	C₄²	—	10	1	no	—
1521	C₄²	—	10	1	no	—
1522	C₄²	—	10	1	no	—
1523	C₄²	—	10	1	no	—
1524	C₄²	—	10	1	no	—
1525	C₄²	—	10	1	no	—
1526	C₄²	—	10	1	no	—
1527	C₄²	C₂³×D₅	1	1	yes	characteristic
1528	C₂×C₅	—	2	2	no	—
1529	C₂×C₅	—	4	1	no	—
1530	C₂×C₅	—	8	1	no	—
1531	C₂×C₅	C₂×#547	1	1	yes	characteristic
1532	C₂×C₅	C₂×#575	1	1	yes	characteristic
1533	C₂×C₅	#3585	1	1	yes	characteristic
1534	D₅	—	2	2	no	—
1535	D₅	—	4	1	no	—
1536	D₅	—	4	1	no	—
1537	D₅	—	8	1	no	—
1538	D₅	—	8	1	no	—
1539	C₂³	—	2	1	no	—
1540	C₂³	—	5	1	no	—
1541	C₂³	—	5	1	no	—
1542	C₂³	—	5	1	no	—
1543	C₂³	—	10	2	no	—
1544	C₂³	—	10	2	no	—
1545	C₂³	—	10	2	no	—
1546	C₂³	—	10	1	no	—
1547	C₂³	—	10	1	no	—
1548	C₂³	—	20	1	no	—
1549	C₂³	—	20	1	no	—
1550	C₂³	—	20	1	no	—
1551	C₂³	—	20	2	no	—
1552	C₂³	—	20	2	no	—
1553	C₂³	—	20	2	no	—
1554	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1555	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1556	Q₈	—	2	1	no	—
1557	Q₈	—	2	1	no	—
1558	Q₈	—	8	1	no	—
1559	Q₈	—	20	2	no	—
1560	D₄	—	2	2	no	—
1561	D₄	—	2	1	no	—
1562	D₄	—	2	1	no	—
1563	D₄	—	4	2	no	—
1564	D₄	—	8	1	no	—
1565	D₄	—	10	2	no	—
1566	D₄	—	10	1	no	—
1567	D₄	—	10	1	no	—
1568	D₄	—	10	1	no	—
1569	D₄	—	10	1	no	—
1570	D₄	—	20	1	no	—
1571	D₄	—	20	2	no	—
1572	D₄	—	20	2	no	—
1573	D₄	—	20	2	no	—
1574	D₄	—	20	1	no	—
1575	D₄	—	20	2	no	—
1576	D₄	—	20	2	no	—
1577	D₄	—	20	2	no	—
1578	D₄	—	20	2	no	—
1579	D₄	—	40	1	no	—
1580	D₄	—	40	1	no	—
1581	D₄	—	40	1	no	—
1582	D₄	—	40	1	no	—
1583	D₄	—	40	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	5	1	no	—
1596	C₂×C₄	—	5	2	no	—
1597	C₂×C₄	—	5	2	no	—
1598	C₂×C₄	—	5	1	no	—
1599	C₂×C₄	—	5	1	no	—
1600	C₂×C₄	—	5	1	no	—
1601	C₂×C₄	—	5	1	no	—
1602	C₂×C₄	—	8	1	no	—
1603	C₂×C₄	—	8	1	no	—
1604	C₂×C₄	—	8	1	no	—
1605	C₂×C₄	—	8	1	no	—
1606	C₂×C₄	—	10	2	no	—
1607	C₂×C₄	—	10	2	no	—
1608	C₂×C₄	—	10	2	no	—
1609	C₂×C₄	—	10	2	no	—
1610	C₂×C₄	—	10	2	no	—
1611	C₂×C₄	—	10	2	no	—
1612	C₂×C₄	—	10	1	no	—
1613	C₂×C₄	—	10	1	no	—
1614	C₂×C₄	—	10	1	no	—
1615	C₂×C₄	—	10	1	no	—
1616	C₂×C₄	—	10	1	no	—
1617	C₂×C₄	—	10	1	no	—
1618	C₂×C₄	—	10	1	no	—
1619	C₂×C₄	—	10	1	no	—
1620	C₂×C₄	—	10	1	no	—
1621	C₂×C₄	—	10	1	no	—
1622	C₂×C₄	—	20	1	no	—
1623	C₂×C₄	—	20	1	no	—
1624	C₂×C₄	—	20	2	no	—
1625	C₂×C₄	—	20	2	no	—
1626	C₂×C₄	—	20	2	no	—
1627	C₂×C₄	—	20	2	no	—
1628	C₂×C₄	—	20	2	no	—
1629	C₂×C₄	—	20	2	no	—
1630	C₂×C₄	—	20	2	no	—
1631	C₂×C₄	—	40	1	no	—
1632	C₂×C₄	—	40	1	no	—
1633	C₂×C₄	—	40	1	no	—
1634	C₂×C₄	—	40	1	no	—
1635	C₂×C₄	—	40	1	no	—
1636	C₂×C₄	—	40	1	no	—
1637	C₂×C₄	—	40	1	no	—
1638	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1639	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1640	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1641	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1642	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1643	C₈	—	2	1	no	—
1644	C₈	—	2	1	no	—
1645	C₈	—	2	1	no	—
1646	C₈	—	5	2	no	—
1647	C₈	—	10	1	no	—
1648	C₈	—	10	1	no	—
1649	C₈	—	10	1	no	—
1650	C₈	D₅×#41	1	2	yes	—
1651	C₅	#61255	1	1	yes	characteristic, complemented, Sylow
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	4	1	no	—
1658	C₂²	—	4	1	no	—
1659	C₂²	—	4	1	no	—
1660	C₂²	—	5	2	no	—
1661	C₂²	—	10	1	no	—
1662	C₂²	—	10	1	no	—
1663	C₂²	—	10	1	no	—
1664	C₂²	—	10	1	no	—
1665	C₂²	—	10	1	no	—
1666	C₂²	—	10	1	no	—
1667	C₂²	—	10	1	no	—
1668	C₂²	—	10	1	no	—
1669	C₂²	—	20	4	no	—
1670	C₂²	—	20	1	no	—
1671	C₂²	—	20	1	no	—
1672	C₂²	—	20	1	no	—
1673	C₂²	—	20	1	no	—
1674	C₂²	—	20	1	no	—
1675	C₂²	—	20	1	no	—
1676	C₂²	—	40	2	no	—
1677	C₂²	—	40	4	no	—
1678	C₂²	#66111	1	2	yes	—
1679	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	4	1	no	—
1685	C₄	—	4	1	no	—
1686	C₄	—	4	1	no	—
1687	C₄	—	4	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	5	2	no	—
1692	C₄	—	10	1	no	—
1693	C₄	—	10	1	no	—
1694	C₄	—	10	1	no	—
1695	C₄	—	10	1	no	—
1696	C₄	—	20	1	no	—
1697	C₄	—	20	1	no	—
1698	C₄	—	20	1	no	—
1699	C₄	—	20	1	no	—
1700	C₄	—	20	1	no	—
1701	C₄	—	20	1	no	—
1702	C₄	C₂×D₅×#41	1	1	yes	characteristic
1703	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1704	C₂	—	2	2	no	—
1705	C₂	—	4	1	no	—
1706	C₂	—	8	1	no	—
1707	C₂	—	10	2	no	—
1708	C₂	—	20	1	no	—
1709	C₂	—	20	1	no	—
1710	C₂	—	40	1	no	—
1711	C₂	—	40	1	no	—
1712	C₂	D₅×#547	1	1	yes	characteristic
1713	C₂	C₂×#66111	1	1	yes	characteristic
1714	C₂	#10619105	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3346	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3346	D₅
hypocenter	C₅	#61255
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3346

Complements

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

N	H ≅ G/N	type
1. #10618823	C₂	semidirect
2. D₅×#553	C₂	semidirect
3. C₅×#3346	C₂	semidirect
4. #10615356	C₂	semidirect
5. #10615339	C₂	semidirect
6. #10613725	C₂	semidirect
7. #10613708	C₂	semidirect
8. #10613247	C₂	semidirect
9. #10613241	C₂	semidirect
10. #10613199	C₂	semidirect
11. #10613195	C₂	semidirect
12. #10613065	C₂	semidirect
13. #10613057	C₂	semidirect
14. #10613028	C₂	semidirect
15. #10613014	C₂	semidirect
16. #10612989	C₂	semidirect
17. #10612962	C₂	semidirect
18. #10612720	C₂	semidirect
19. #10612696	C₂	semidirect
20. #10612536	C₂	semidirect
21. #10612531	C₂	semidirect
22. #10612388	C₂	semidirect
23. #10612380	C₂	semidirect
24. #10611540	C₂	semidirect
25. #10611504	C₂	semidirect
26. #10611214	C₂	semidirect
27. #10611202	C₂	semidirect
28. #10610967	C₂	semidirect
29. #10610939	C₂	semidirect
30. #10610888	C₂	semidirect
31. C₂×#65170	C₂	semidirect
32. C₅×#554	C₂²	semidirect
37. #66068	C₂²	semidirect
47. #65976	C₂²	semidirect
48. #65976	C₂²	semidirect
61. #65918	C₂²	semidirect
65. #65889	C₂²	semidirect
75. #65848	C₂²	semidirect
76. #65848	C₂²	semidirect
80. C₅×#501	C₂²	semidirect
81. C₅×#485	C₂²	semidirect
82. C₅×#484	C₂²	semidirect
83. C₅×#481	C₂²	semidirect
84. C₅×#480	C₂²	semidirect
85. C₅×#479	C₂²	semidirect
86. C₅×#474	C₂²	semidirect
87. C₅×#468	C₂²	semidirect
88. C₅×#465	C₂²	semidirect
89. C₅×#440	C₂²	semidirect
90. C₅×#435	C₂²	semidirect
91. C₅×#428	C₂²	semidirect
92. C₂×C₅×#107	C₂²	semidirect
93. #65463	C₂²	semidirect
94. #65460	C₂²	semidirect
95. SD₁₆×Dic₅	C₂²	semidirect
96. #65424	C₂²	semidirect
97. #65417	C₂²	semidirect
98. #65410	C₂²	semidirect
99. #65404	C₂²	semidirect
100. C₈×C₂²⋊D₅	C₂²	semidirect
101. C₂×#3949	C₂²	semidirect
102. #65376	C₂²	semidirect
103. #65369	C₂²	semidirect
104. #65355	C₂²	semidirect
105. #65354	C₂²	semidirect
106. #65338	C₂²	semidirect
107. #65337	C₂²	semidirect
108. #65334	C₂²	semidirect
109. #65333	C₂²	semidirect
110. #65328	C₂²	semidirect
111. #65327	C₂²	semidirect
112. #65323	C₂²	semidirect
113. #65322	C₂²	semidirect
114. #65315	C₂²	semidirect
115. #65311	C₂²	semidirect
116. #65303	C₂²	semidirect
117. #65300	C₂²	semidirect
118. #65297	C₂²	semidirect
119. #65292	C₂²	semidirect
120. #65284	C₂²	semidirect
121. #65257	C₂²	semidirect
122. #65257	C₂²	semidirect
123. #65256	C₂²	semidirect
124. #65253	C₂²	semidirect
125. C₂×#3940	C₂²	semidirect
126. C₂×#3939	C₂²	semidirect
127. #65180	C₂²	semidirect
128. #65180	C₂²	semidirect
129. #65180	C₂²	semidirect
130. #65174	C₂²	semidirect
131. #65174	C₂²	semidirect
132. #65174	C₂²	semidirect
133. #65172	C₂²	semidirect
134. #65171	C₂²	semidirect
135. #65171	C₂²	semidirect
142. #65170	C₂²	semidirect
143. #65170	C₂²	semidirect
144. #65170	C₂²	semidirect
145. #65170	C₂²	semidirect
146. #65169	C₂²	semidirect
147. #65169	C₂²	semidirect
148. #65167	C₂²	semidirect
149. #65167	C₂²	semidirect
150. #65161	C₂²	semidirect
151. #65160	C₂²	semidirect
152. #65155	C₂²	semidirect
153. #65155	C₂²	semidirect
154. #65155	C₂²	semidirect
155. #65154	C₂²	semidirect
159. #65149	C₂²	semidirect
160. #65149	C₂²	semidirect
161. #65147	C₂²	semidirect
162. #65147	C₂²	semidirect
163. #65136	C₂²	semidirect
164. #65131	C₂²	semidirect
166. #65125	C₂²	semidirect
167. #65104	C₂²	semidirect
168. #65103	C₂²	semidirect
169. #65101	C₂²	semidirect
170. #65096	C₂²	semidirect
171. #65094	C₂²	semidirect
172. #65094	C₂²	semidirect
176. #65088	C₂²	semidirect
177. #65085	C₂²	semidirect
178. #65077	C₂²	semidirect
179. #65073	C₂²	semidirect
180. #65073	C₂²	semidirect
181. #65071	C₂²	semidirect
182. #65068	C₂²	semidirect
183. #65068	C₂²	semidirect
184. #65064	C₂²	semidirect
188. #65052	C₂²	semidirect
189. #65052	C₂²	semidirect
190. #65045	C₂²	semidirect
191. #65026	C₂²	semidirect
192. #65025	C₂²	semidirect
193. #65024	C₂²	semidirect
194. #65024	C₂²	semidirect
195. #65018	C₂²	semidirect
198. #65014	C₂²	semidirect
199. #65000	C₂²	semidirect
201. #64995	C₂²	semidirect
202. #64991	C₂²	semidirect
493. #3346	D₅	semidirect
711. #676	#41	semidirect
719. #554	C₂×D₅	semidirect
765. #501	C₂×D₅	semidirect
773. #485	C₂×D₅	semidirect
775. #484	C₂×D₅	semidirect
795. #481	C₂×D₅	semidirect
801. #480	C₂×D₅	semidirect
805. #479	C₂×D₅	semidirect
817. #474	C₂×D₅	semidirect
825. #468	C₂×D₅	semidirect
833. #465	C₂×D₅	semidirect
837. #440	C₂×D₅	semidirect
847. #435	C₂×D₅	semidirect
866. #428	C₂×D₅	semidirect
872. C₂×#107	C₂×D₅	semidirect
1651. C₅	#61255	semidirect

Maximal subgroups

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

subgroup	index
#10618823	2
D₅×#553	2
C₅×#3346	2
#10615356	2
#10615339	2
#10613725	2
#10613708	2
#10613247	2
#10613241	2
#10613199	2
#10613195	2
#10613065	2
#10613057	2
#10613028	2
#10613014	2
#10612989	2
#10612962	2
#10612720	2
#10612696	2
#10612536	2
#10612531	2
#10612388	2
#10612380	2
#10611540	2
#10611504	2
#10611214	2
#10611202	2
#10610967	2
#10610939	2
#10610888	2
C₂×#65170	2
#61255	5