Subgroups — #12978151

Order 1280.

1892 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	D₅×#555	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618728	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3348	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615379	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615325	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613725	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613707	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613263	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613247	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613247	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613244	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613120	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613104	C₂	1	1	yes	maximal, characteristic, complemented
14	#10613069	C₂	1	1	yes	maximal, characteristic, complemented
15	#10613057	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612929	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612897	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612762	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612743	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612536	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612533	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612388	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612381	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611539	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	#10611204	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610966	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610939	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610921	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610908	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#555	C₂²	1	1	yes	characteristic
33	C₅×#552	C₂²	1	1	yes	characteristic, complemented
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
38	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
39	#66040	—	2	1	no	—
40	#66039	—	2	1	no	—
41	#66029	C₂²	1	1	yes	characteristic, complemented
42	#66027	—	2	1	no	—
43	#66025	—	2	1	no	—
44	#66022	C₂²	1	1	yes	characteristic
45	D₅×#124	—	2	1	no	—
46	D₅×#124	—	2	1	no	—
47	#66004	—	2	1	no	—
48	#66004	—	2	1	no	—
49	#65988	—	2	1	no	—
50	#65983	—	2	1	no	—
51	#65975	C₂²	1	1	yes	characteristic, complemented
52	#65969	C₂²	1	1	yes	characteristic, complemented
53	#65961	C₂²	1	1	yes	characteristic
54	#65961	C₂²	1	1	yes	characteristic
55	#65950	—	2	1	no	—
56	#65950	C₂²	1	1	yes	characteristic
57	#65950	C₂²	1	1	yes	characteristic
58	D₅×#121	—	2	1	no	—
59	D₅×#121	C₂²	1	1	yes	characteristic
60	D₅×#121	C₂²	1	1	yes	characteristic
61	#65915	C₂²	1	1	yes	characteristic, complemented
62	C₄×#713	C₂²	1	1	yes	characteristic
63	#65899	C₂²	1	1	yes	characteristic, complemented
64	#65897	C₂²	1	1	yes	characteristic
65	#65897	C₂²	1	1	yes	characteristic
66	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
67	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
68	#65866	—	2	1	no	—
69	#65866	C₂²	1	1	yes	characteristic
70	#65866	C₂²	1	1	yes	characteristic
71	#65866	C₂²	1	1	yes	characteristic, complemented
72	#65861	—	2	1	no	—
73	#65856	—	2	1	no	—
74	D₅×#117	—	2	1	no	—
75	D₅×#117	C₂²	1	1	yes	characteristic
76	D₅×#117	C₂²	1	1	yes	characteristic
77	D₅×#117	C₂²	1	1	yes	characteristic
78	#65841	C₂²	1	1	yes	characteristic, complemented
79	C₂×#4038	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×#485	C₂²	1	1	yes	characteristic, complemented
83	C₅×#482	C₂²	1	1	yes	characteristic, complemented
84	C₅×#481	C₂²	1	1	yes	characteristic, complemented
85	C₅×#478	C₂²	1	1	yes	characteristic, complemented
86	C₅×#475	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	C₅×#427	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	#65395	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	#65334	C₂²	1	1	yes	characteristic, complemented
110	#65328	C₂²	1	1	yes	characteristic, complemented
111	#65327	C₂²	1	1	yes	characteristic, complemented
112	#65324	C₂²	1	1	yes	characteristic, complemented
113	#65322	C₂²	1	1	yes	characteristic, complemented
114	#65315	C₂²	1	1	yes	characteristic, complemented
115	#65309	C₂²	1	1	yes	characteristic, complemented
116	#65303	C₂²	1	1	yes	characteristic, complemented
117	#65300	C₂²	1	1	yes	characteristic, complemented
118	#65298	C₂²	1	1	yes	characteristic, complemented
119	#65292	C₂²	1	1	yes	characteristic, complemented
120	#65292	C₂²	1	1	yes	characteristic, complemented
121	#65292	C₂²	1	1	yes	characteristic, complemented
122	#65287	C₂²	1	1	yes	characteristic, complemented
123	#65287	C₂²	1	1	yes	characteristic, complemented
124	#65284	C₂²	1	1	yes	characteristic, complemented
125	#65257	C₂²	1	1	yes	characteristic, complemented
126	#65253	C₂²	1	1	yes	characteristic, complemented
127	#65179	C₂²	1	1	yes	characteristic, complemented
128	#65174	C₂²	1	1	yes	characteristic, complemented
129	#65174	C₂²	1	1	yes	characteristic, complemented
130	#65172	C₂²	1	1	yes	characteristic, complemented
131	#65171	C₂²	1	1	yes	characteristic, complemented
132	#65170	C₂²	1	1	yes	characteristic
133	#65170	C₂²	1	1	yes	characteristic
134	#65170	C₂²	1	1	yes	characteristic
135	#65170	C₂²	1	1	yes	characteristic
136	#65170	C₂²	1	1	yes	characteristic, complemented
137	#65170	C₂²	1	1	yes	characteristic, complemented
138	#65169	C₂²	1	1	yes	characteristic, complemented
139	#65169	C₂²	1	1	yes	characteristic, complemented
140	#65163	C₂²	1	1	yes	characteristic, complemented
141	#65163	C₂²	1	1	yes	characteristic, complemented
142	#65161	C₂²	1	1	yes	characteristic, complemented
143	#65159	C₂²	1	1	yes	characteristic, complemented
144	#65159	C₂²	1	1	yes	characteristic, complemented
145	#65159	C₂²	1	1	yes	characteristic, complemented
146	#65155	C₂²	1	1	yes	characteristic, complemented
147	#65155	C₂²	1	1	yes	characteristic, complemented
148	#65155	C₂²	1	1	yes	characteristic, complemented
149	#65155	C₂²	1	1	yes	characteristic, complemented
150	#65154	C₂²	1	1	yes	characteristic, complemented
151	#65152	C₂²	1	1	yes	characteristic, complemented
152	#65150	C₂²	1	1	yes	characteristic
153	#65150	C₂²	1	1	yes	characteristic
154	#65150	C₂²	1	1	yes	characteristic
155	#65150	C₂²	1	1	yes	characteristic
156	#65150	C₂²	1	1	yes	characteristic
157	#65150	C₂²	1	1	yes	characteristic, complemented
158	#65150	C₂²	1	1	yes	characteristic, complemented
159	#65149	C₂²	1	1	yes	characteristic, complemented
160	#65149	C₂²	1	1	yes	characteristic, complemented
161	#65144	C₂²	1	1	yes	characteristic, complemented
162	#65144	C₂²	1	1	yes	characteristic, complemented
163	#65136	C₂²	1	1	yes	characteristic, complemented
164	#65135	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	#65104	C₂²	1	1	yes	characteristic, complemented
169	#65103	C₂²	1	1	yes	characteristic, complemented
170	#65103	C₂²	1	1	yes	characteristic, complemented
171	#65101	C₂²	1	1	yes	characteristic, complemented
172	#65096	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	#65083	C₂²	1	1	yes	characteristic, complemented
177	#65083	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	#65066	C₂²	1	1	yes	characteristic, complemented
183	#65064	C₂²	1	1	yes	characteristic, complemented
184	#65063	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	#65050	C₂²	1	1	yes	characteristic, complemented
189	#65048	C₂²	1	1	yes	characteristic, complemented
190	#65045	C₂²	1	1	yes	characteristic, complemented
191	#65026	C₂²	1	1	yes	characteristic, complemented
192	#65026	C₂²	1	1	yes	characteristic, complemented
193	#65026	C₂²	1	1	yes	characteristic, complemented
194	#65025	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	#61256	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₅	—	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	C₂×#709	—	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×#124	—	2	1	no	—
222	C₅×#124	—	2	1	no	—
223	C₅×#123	—	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	C₂³	1	1	yes	characteristic
231	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
232	C₅×#117	—	2	1	no	—
233	C₅×#117	—	2	1	no	—
234	C₅×#117	C₂³	1	1	yes	characteristic
235	C₅×#117	C₂³	1	1	yes	characteristic
236	C₅×#117	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	C₂³	1	1	yes	characteristic
241	#4092	C₂³	1	1	yes	characteristic
242	Q₈×Dic₅	C₂³	1	1	yes	characteristic
243	#4090	—	2	1	no	—
244	C₂×#688	C₂³	1	1	yes	characteristic
245	#4085	—	2	1	no	—
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	#4082	—	2	1	no	—
254	#4082	—	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	C₂³	1	1	yes	characteristic
260	#4076	C₂³	1	1	yes	characteristic
261	#4076	C₂³	1	1	yes	characteristic
262	#4076	C₂³	1	1	yes	characteristic
263	#4075	—	2	1	no	—
264	C₄×C₂²⋊D₅	—	2	1	no	—
265	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
266	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
267	C₂×#685	—	2	1	no	—
268	#4072	—	2	1	no	—
269	#4072	C₂³	1	1	yes	characteristic
270	#4072	C₂³	1	1	yes	characteristic
271	#4072	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₅	—	2	1	no	—
274	C₂×#681	C₂³	1	1	yes	characteristic
275	C₂²×#168	C₂³	1	1	yes	characteristic
276	#4060	—	2	4	no	—
277	D₅×M₁₆	—	2	4	no	—
278	C₂×D₄₀	C₂³	1	1	yes	characteristic
279	C₂×#676	—	2	4	no	—
280	C₂×#676	C₂³	1	1	yes	characteristic
281	C₂×#676	C₂³	1	1	yes	characteristic
282	C₂×#676	C₂³	1	1	yes	characteristic
283	C₂×#676	C₂³	1	1	yes	characteristic
284	C₂×#676	C₂³	1	1	yes	characteristic
285	C₂×#676	C₂³	1	1	yes	characteristic
286	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
287	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
288	#4044	—	2	1	no	—
289	#4044	—	2	1	no	—
290	#4044	—	2	1	no	—
291	#4043	—	2	1	no	—
292	#4042	—	2	1	no	—
293	#4042	—	2	1	no	—
294	#4042	—	2	1	no	—
295	#4041	—	2	1	no	—
296	#4041	—	2	1	no	—
297	#4041	C₂³	1	1	yes	characteristic
298	#4041	C₂³	1	1	yes	characteristic
299	#4041	C₂³	1	1	yes	characteristic
300	#4041	C₂³	1	1	yes	characteristic
301	#4040	—	2	1	no	—
302	#4040	—	2	1	no	—
303	#4040	—	2	1	no	—
304	#4040	—	2	1	no	—
305	#4040	—	2	1	no	—
306	#4039	—	2	1	no	—
307	#4039	—	2	1	no	—
308	#4039	—	2	1	no	—
309	#4039	—	2	1	no	—
310	#4039	D₄	1	1	yes	characteristic
311	#4039	C₂³	1	1	yes	characteristic
312	#4039	C₂³	1	1	yes	characteristic
313	#4038	—	2	1	no	—
314	#4038	—	2	1	no	—
315	#4038	—	2	1	no	—
316	#4038	—	2	1	no	—
317	#4038	—	2	1	no	—
318	#4038	C₂³	1	1	yes	characteristic
319	#4038	C₂³	1	1	yes	characteristic
320	#4038	C₂³	1	1	yes	characteristic
321	#4038	C₂³	1	1	yes	characteristic
322	#4038	C₂³	1	1	yes	characteristic
323	#4038	C₂³	1	1	yes	characteristic
324	#4038	C₂³	1	1	yes	characteristic
325	#4038	C₂³	1	1	yes	characteristic
326	#4038	C₂³	1	1	yes	characteristic
327	D₅×C₄⋊C₄	—	2	1	no	—
328	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
329	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
330	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
331	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
332	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
333	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
334	#4035	—	2	1	no	—
335	#4035	—	2	1	no	—
336	#4034	—	2	1	no	—
337	#4034	C₂³	1	1	yes	characteristic
338	#4034	C₂³	1	1	yes	characteristic
339	#4034	C₂³	1	1	yes	characteristic
340	#4034	C₂³	1	1	yes	characteristic
341	#4033	—	2	1	no	—
342	#4033	—	2	1	no	—
343	#4033	—	2	1	no	—
344	#4031	—	2	1	no	—
345	#4031	—	2	1	no	—
346	#4031	—	2	1	no	—
347	#4031	—	2	1	no	—
348	#4031	—	2	1	no	—
349	#4031	—	2	1	no	—
350	#4031	—	2	1	no	—
351	#4031	—	2	1	no	—
352	#4031	—	2	1	no	—
353	#4031	—	2	1	no	—
354	#4030	—	2	1	no	—
355	#4030	—	2	1	no	—
356	#4030	—	2	1	no	—
357	#4030	—	2	1	no	—
358	#4030	—	2	1	no	—
359	#4029	—	2	1	no	—
360	#4028	—	2	1	no	—
361	#4028	—	2	1	no	—
362	#4027	—	2	1	no	—
363	#4027	—	2	1	no	—
364	#4027	—	2	1	no	—
365	#4027	—	2	1	no	—
366	#4027	—	2	1	no	—
367	#4027	D₄	1	1	yes	characteristic
368	#4027	D₄	1	1	yes	characteristic
369	D₅×C₂²⋊C₄	—	2	1	no	—
370	D₅×C₂²⋊C₄	—	2	1	no	—
371	D₅×C₂²⋊C₄	—	2	1	no	—
372	D₅×C₂²⋊C₄	—	2	1	no	—
373	D₅×C₂²⋊C₄	—	2	1	no	—
374	D₅×C₂²⋊C₄	—	2	1	no	—
375	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
376	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
377	#4025	—	2	1	no	—
378	#4024	—	2	1	no	—
379	#4023	—	2	1	no	—
380	#4023	—	2	1	no	—
381	#4023	—	2	1	no	—
382	#4023	—	2	1	no	—
383	#4023	—	2	1	no	—
384	#4022	—	2	1	no	—
385	#4021	—	2	1	no	—
386	#4021	—	2	1	no	—
387	#4021	—	2	1	no	—
388	C₄×D₂₀	—	2	1	no	—
389	C₄×D₂₀	C₂³	1	1	yes	characteristic
390	C₄×D₂₀	C₂³	1	1	yes	characteristic
391	C₄×D₂₀	C₂³	1	1	yes	characteristic
392	#4018	—	2	1	no	—
393	#4018	—	2	1	no	—
394	#4018	—	2	1	no	—
395	#4018	—	2	1	no	—
396	#4018	—	2	1	no	—
397	#4018	—	2	1	no	—
398	#4018	—	2	1	no	—
399	C₄²×D₅	—	2	1	no	—
400	C₄²×D₅	—	2	1	no	—
401	C₄²×D₅	—	2	1	no	—
402	C₄²×D₅	—	2	1	no	—
403	C₄²×D₅	C₂³	1	1	yes	characteristic
404	#4016	C₂³	1	1	yes	characteristic
405	#4015	C₂³	1	1	yes	characteristic
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×#106	C₂³	1	1	yes	characteristic
411	C₅×#106	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	#3950	C₂³	1	1	yes	characteristic
447	#3950	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×#555	—	5	1	no	—
484	#3357	—	5	1	no	—
485	#3357	—	5	1	no	—
486	#3354	—	5	1	no	—
487	#3354	—	5	1	no	—
488	#3348	—	5	1	no	—
489	#3348	—	5	1	no	—
490	#3348	—	5	1	no	—
491	#3348	D₅	1	1	yes	characteristic, complemented
492	#3347	—	5	1	no	—
493	#3347	—	5	1	no	—
494	#3347	—	5	1	no	—
495	#3347	—	5	1	no	—
496	#3341	—	5	1	no	—
497	#3341	—	5	1	no	—
498	#3340	—	5	1	no	—
499	#3340	—	5	1	no	—
500	#3165	—	5	1	no	—
501	#3094	—	5	1	no	—
502	#3094	—	5	1	no	—
503	#3093	—	5	1	no	—
504	#3093	—	5	1	no	—
505	#3079	—	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	#2911	—	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	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
526	C₂×C₂²⋊D₅	—	2	1	no	—
527	C₂×C₂²⋊D₅	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
534	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
535	C₂²×Dic₅	—	2	1	no	—
536	C₂²×Dic₅	—	2	1	no	—
537	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
538	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
539	#713	—	2	2	no	—
540	#713	—	2	2	no	—
541	Q₈×D₅	—	8	2	no	—
542	D₄×D₅	—	2	2	no	—
543	D₄×D₅	—	2	2	no	—
544	D₄×D₅	—	4	2	no	—
545	D₄×D₅	—	8	2	no	—
546	D₄×D₅	—	8	2	no	—
547	#709	—	4	4	no	—
548	C₂×D₂₀	—	2	1	no	—
549	C₂×D₂₀	—	2	1	no	—
550	C₂×D₂₀	—	2	1	no	—
551	C₂×D₂₀	—	2	1	no	—
552	C₂×D₂₀	—	2	1	no	—
553	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
554	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
555	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
556	C₂×C₄×D₅	—	2	2	no	—
557	C₂×C₄×D₅	—	2	2	no	—
558	C₂×C₄×D₅	—	2	2	no	—
559	C₂×C₄×D₅	—	2	2	no	—
560	C₂×C₄×D₅	—	2	1	no	—
561	C₂×C₄×D₅	—	2	1	no	—
562	C₂×C₄×D₅	—	2	1	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	—	4	4	no	—
571	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
572	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
573	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
574	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
575	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
576	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
577	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
578	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
579	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
580	C₂×Dic₁₀	—	2	1	no	—
581	C₂×Dic₁₀	—	2	1	no	—
582	C₂×Dic₁₀	—	2	1	no	—
583	C₂×Dic₁₀	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
600	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
601	C₅×C₄⋊C₄	C₂⁴	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×C₂²⋊C₄	—	2	1	no	—
607	C₅×C₂²⋊C₄	—	2	1	no	—
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	—	2	1	no	—
619	C₄²×C₅	—	2	1	no	—
620	C₄²×C₅	C₂⁴	1	1	yes	characteristic
621	C₂²⋊Dic₅	—	2	1	no	—
622	C₂²⋊Dic₅	—	2	1	no	—
623	C₂²⋊Dic₅	—	2	1	no	—
624	C₂²⋊Dic₅	—	2	1	no	—
625	C₂²⋊Dic₅	—	2	1	no	—
626	C₂²⋊Dic₅	—	2	1	no	—
627	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
628	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
629	#688	—	2	2	no	—
630	#686	—	2	2	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	—	2	1	no	—
651	#685	—	2	1	no	—
652	#685	—	2	1	no	—
653	#685	—	2	1	no	—
654	#685	C₂×D₄	1	1	yes	characteristic
655	#685	C₂×D₄	1	1	yes	characteristic
656	#685	C₂×D₄	1	1	yes	characteristic
657	#685	C₂×D₄	1	1	yes	characteristic
658	C₄⋊Dic₅	—	2	1	no	—
659	C₄⋊Dic₅	—	2	1	no	—
660	C₄⋊Dic₅	—	2	1	no	—
661	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
662	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
663	C₄⋊Dic₅	C₂⁴	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	#683	—	2	1	no	—
669	#683	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
682	#683	C₂×D₄	1	1	yes	characteristic
683	C₄×Dic₅	—	2	1	no	—
684	C₄×Dic₅	—	2	1	no	—
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	#555	—	5	1	no	—
720	#555	—	5	1	no	—
721	#555	—	5	1	no	—
722	#555	—	5	1	no	—
723	#555	—	5	1	no	—
724	#555	—	5	1	no	—
725	#555	—	5	1	no	—
726	#555	—	10	1	no	—
727	#555	—	10	1	no	—
728	#555	—	10	1	no	—
729	#555	—	10	1	no	—
730	#555	C₂×D₅	1	1	yes	characteristic
731	#554	—	5	1	no	—
732	#553	—	5	1	no	—
733	#553	—	5	1	no	—
734	#552	—	5	1	no	—
735	#552	—	10	1	no	—
736	#552	C₂×D₅	1	1	yes	characteristic, complemented
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	C₂×C₄⋊Q₈	—	5	1	no	—
743	#529	—	10	1	no	—
744	#529	—	10	1	no	—
745	#529	—	10	1	no	—
746	C₂×#124	—	10	1	no	—
747	C₂×#124	—	10	1	no	—
748	#525	—	5	1	no	—
749	#525	—	5	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×#117	—	5	1	no	—
758	C₂×#117	—	5	1	no	—
759	C₂×#117	—	5	1	no	—
760	C₂×#117	—	5	1	no	—
761	C₂×#117	—	10	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	#500	—	5	1	no	—
767	#500	—	5	1	no	—
768	#498	—	5	1	no	—
769	#498	—	5	1	no	—
770	#485	—	5	1	no	—
771	#485	—	5	1	no	—
772	#485	—	5	1	no	—
773	#485	—	5	1	no	—
774	#485	—	5	1	no	—
775	#485	—	5	1	no	—
776	#485	C₂×D₅	1	1	yes	characteristic, complemented
777	#485	C₂×D₅	1	1	yes	characteristic, complemented
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	#482	—	5	1	no	—
791	#482	—	5	1	no	—
792	#482	—	5	1	no	—
793	#482	C₂×D₅	1	1	yes	characteristic, complemented
794	#481	—	5	1	no	—
795	#481	—	5	1	no	—
796	#481	—	5	1	no	—
797	#481	C₂×D₅	1	1	yes	characteristic, complemented
798	#480	—	5	1	no	—
799	#480	—	5	1	no	—
800	#480	—	5	1	no	—
801	#480	—	5	1	no	—
802	#478	—	5	1	no	—
803	#478	—	5	1	no	—
804	#478	—	5	1	no	—
805	#478	C₂×D₅	1	1	yes	characteristic, complemented
806	#477	—	5	1	no	—
807	#477	—	5	1	no	—
808	#476	—	5	1	no	—
809	#476	—	5	1	no	—
810	#476	—	5	1	no	—
811	#476	—	5	1	no	—
812	#475	—	5	1	no	—
813	#475	C₂×D₅	1	1	yes	characteristic, complemented
814	#474	—	5	1	no	—
815	#474	—	5	1	no	—
816	#474	—	5	1	no	—
817	#474	—	5	1	no	—
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	#427	—	5	1	no	—
872	#427	—	5	1	no	—
873	#427	—	5	1	no	—
874	#427	C₂×D₅	1	1	yes	characteristic, complemented
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	1	no	—
891	C₂²×D₅	—	2	1	no	—
892	C₂²×D₅	—	4	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	1	no	—
906	C₅×D₄	—	2	1	no	—
907	C₅×D₄	—	4	1	no	—
908	C₅×D₄	—	8	1	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	—	4	2	no	—
922	C₂×C₄×C₅	—	4	2	no	—
923	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
924	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
925	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
926	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
927	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
928	C₂²⋊D₅	—	2	2	no	—
929	C₂²⋊D₅	—	2	2	no	—
930	C₂²⋊D₅	—	4	2	no	—
931	C₂²⋊D₅	—	4	2	no	—
932	C₂²⋊D₅	—	8	1	no	—
933	C₂²⋊D₅	—	8	1	no	—
934	C₂²⋊D₅	—	8	1	no	—
935	C₂²⋊D₅	—	8	1	no	—
936	C₂²⋊D₅	—	8	1	no	—
937	C₂×Dic₅	—	2	2	no	—
938	C₂×Dic₅	—	2	2	no	—
939	C₂×Dic₅	—	2	1	no	—
940	C₂×Dic₅	—	2	1	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	—	4	2	no	—
946	C₂×Dic₅	—	8	1	no	—
947	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
948	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
949	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
950	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
951	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
952	D₂₀	—	2	1	no	—
953	D₂₀	—	2	1	no	—
954	D₂₀	—	2	1	no	—
955	D₂₀	—	2	1	no	—
956	D₂₀	—	4	1	no	—
957	D₂₀	—	4	2	no	—
958	D₂₀	—	4	2	no	—
959	D₂₀	—	8	1	no	—
960	D₂₀	—	8	1	no	—
961	D₂₀	—	8	1	no	—
962	C₄×D₅	—	2	2	no	—
963	C₄×D₅	—	2	2	no	—
964	C₄×D₅	—	2	1	no	—
965	C₄×D₅	—	2	1	no	—
966	C₄×D₅	—	2	1	no	—
967	C₄×D₅	—	2	1	no	—
968	C₄×D₅	—	2	2	no	—
969	C₄×D₅	—	2	2	no	—
970	C₄×D₅	—	2	2	no	—
971	C₄×D₅	—	4	1	no	—
972	C₄×D₅	—	4	2	no	—
973	C₄×D₅	—	4	2	no	—
974	C₄×D₅	—	4	2	no	—
975	C₄×D₅	—	4	2	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	—	8	1	no	—
981	C₄×D₅	—	8	1	no	—
982	C₄×D₅	C₂×#41	1	2	yes	—
983	C₄×D₅	2₋¹⁺⁴	1	2	yes	—
984	Dic₁₀	—	4	2	no	—
985	Dic₁₀	—	8	1	no	—
986	Dic₁₀	—	8	1	no	—
987	Dic₁₀	—	8	1	no	—
988	Dic₁₀	—	8	1	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×Q₈	—	10	1	no	—
1000	C₂²×D₄	—	5	1	no	—
1001	C₂²×D₄	—	5	1	no	—
1002	C₂²×D₄	—	10	1	no	—
1003	C₂²×D₄	—	10	1	no	—
1004	C₂³×C₄	—	5	1	no	—
1005	C₂³×C₄	—	5	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	—	5	1	no	—
1028	C₄⋊Q₈	—	5	1	no	—
1029	C₄⋊Q₈	—	5	1	no	—
1030	C₄⋊Q₈	—	5	1	no	—
1031	C₄⋊Q₈	—	10	1	no	—
1032	C₄⋊Q₈	—	10	1	no	—
1033	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1034	#126	—	2	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	#125	—	2	1	no	—
1041	#125	—	5	1	no	—
1042	#125	—	10	1	no	—
1043	#125	—	10	1	no	—
1044	#125	C₂²×D₅	1	1	yes	characteristic
1045	#124	—	2	1	no	—
1046	#124	—	2	1	no	—
1047	#124	—	10	1	no	—
1048	#124	—	10	1	no	—
1049	#124	—	10	1	no	—
1050	#124	—	10	1	no	—
1051	#124	—	10	1	no	—
1052	#124	—	10	1	no	—
1053	#124	—	10	1	no	—
1054	#124	—	10	1	no	—
1055	#124	—	10	1	no	—
1056	#124	—	10	1	no	—
1057	#124	—	10	1	no	—
1058	#124	—	10	1	no	—
1059	#124	—	10	1	no	—
1060	#124	—	10	1	no	—
1061	#124	—	10	1	no	—
1062	#124	—	10	1	no	—
1063	#124	—	10	1	no	—
1064	#123	—	2	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	—	5	1	no	—
1073	C₂²⋊Q₈	—	5	1	no	—
1074	C₂²⋊Q₈	—	10	1	no	—
1075	C₂²⋊Q₈	—	10	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	—	5	1	no	—
1116	C₄×D₄	—	5	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	—	10	1	no	—
1128	C₄×D₄	—	10	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	C₂²×D₅	1	1	yes	characteristic
1139	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1140	#117	—	2	1	no	—
1141	#117	—	2	1	no	—
1142	#117	—	5	1	no	—
1143	#117	—	5	1	no	—
1144	#117	—	5	1	no	—
1145	#117	—	5	1	no	—
1146	#117	—	5	1	no	—
1147	#117	—	5	1	no	—
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	—	10	1	no	—
1155	#117	—	10	1	no	—
1156	#117	—	10	1	no	—
1157	#117	—	10	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	—	10	1	no	—
1169	#117	—	10	1	no	—
1170	#117	—	10	1	no	—
1171	#117	—	10	1	no	—
1172	#117	C₂²×D₅	1	1	yes	characteristic
1173	#117	C₂²×D₅	1	1	yes	characteristic
1174	#117	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1179	C₂×C₄⋊C₄	—	5	1	no	—
1180	C₂×C₄⋊C₄	—	5	1	no	—
1181	C₂×C₄⋊C₄	—	5	1	no	—
1182	C₂×C₄⋊C₄	—	10	1	no	—
1183	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1184	C₂×C₂²⋊C₄	—	5	1	no	—
1185	C₂×C₂²⋊C₄	—	5	1	no	—
1186	C₂×C₂²⋊C₄	—	10	1	no	—
1187	C₂×C₂²⋊C₄	—	10	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×C₄²	—	5	1	no	—
1194	C₂×C₄²	—	10	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	—	5	1	no	—
1212	#107	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1231	#106	C₂²×D₅	1	1	yes	characteristic
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	—	2	1	no	—
1281	C₂²×C₅	—	4	1	no	—
1282	C₂²×C₅	—	4	1	no	—
1283	C₂²×C₅	—	4	1	no	—
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	1	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	—	8	2	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	—	4	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	#547	1	2	yes	—
1326	Dic₅	#575	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	—	10	1	no	—
1336	C₂×Q₈	—	10	1	no	—
1337	C₂×Q₈	—	10	1	no	—
1338	C₂×Q₈	—	10	1	no	—
1339	C₂×Q₈	—	40	2	no	—
1340	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1341	C₂×D₄	—	2	1	no	—
1342	C₂×D₄	—	2	1	no	—
1343	C₂×D₄	—	5	1	no	—
1344	C₂×D₄	—	5	1	no	—
1345	C₂×D₄	—	5	1	no	—
1346	C₂×D₄	—	5	1	no	—
1347	C₂×D₄	—	5	1	no	—
1348	C₂×D₄	—	10	1	no	—
1349	C₂×D₄	—	10	1	no	—
1350	C₂×D₄	—	10	1	no	—
1351	C₂×D₄	—	10	1	no	—
1352	C₂×D₄	—	10	1	no	—
1353	C₂×D₄	—	10	2	no	—
1354	C₂×D₄	—	10	2	no	—
1355	C₂×D₄	—	10	1	no	—
1356	C₂×D₄	—	10	1	no	—
1357	C₂×D₄	—	10	1	no	—
1358	C₂×D₄	—	10	1	no	—
1359	C₂×D₄	—	10	1	no	—
1360	C₂×D₄	—	10	1	no	—
1361	C₂×D₄	—	10	1	no	—
1362	C₂×D₄	—	20	2	no	—
1363	C₂×D₄	—	40	2	no	—
1364	C₂×D₄	—	40	2	no	—
1365	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1366	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1367	C₂²×C₄	—	2	1	no	—
1368	C₂²×C₄	—	2	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	—	5	1	no	—
1378	C₂²×C₄	—	5	1	no	—
1379	C₂²×C₄	—	5	1	no	—
1380	C₂²×C₄	—	10	2	no	—
1381	C₂²×C₄	—	10	2	no	—
1382	C₂²×C₄	—	10	2	no	—
1383	C₂²×C₄	—	10	2	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	—	10	1	no	—
1396	C₂²×C₄	—	20	4	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	—	5	1	no	—
1431	C₄⋊C₄	—	5	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	—	10	1	no	—
1440	C₄⋊C₄	—	10	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	D₄×D₅	1	1	yes	characteristic
1456	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1457	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1458	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1459	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1460	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1461	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	2	1	no	—
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	5	1	no	—
1471	C₂²⋊C₄	—	5	1	no	—
1472	C₂²⋊C₄	—	5	1	no	—
1473	C₂²⋊C₄	—	5	1	no	—
1474	C₂²⋊C₄	—	5	1	no	—
1475	C₂²⋊C₄	—	5	1	no	—
1476	C₂²⋊C₄	—	10	1	no	—
1477	C₂²⋊C₄	—	10	1	no	—
1478	C₂²⋊C₄	—	10	1	no	—
1479	C₂²⋊C₄	—	10	1	no	—
1480	C₂²⋊C₄	—	10	1	no	—
1481	C₂²⋊C₄	—	10	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	D₄×D₅	1	1	yes	characteristic
1506	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1507	C₄²	—	2	1	no	—
1508	C₄²	—	2	1	no	—
1509	C₄²	—	2	1	no	—
1510	C₄²	—	2	1	no	—
1511	C₄²	—	5	1	no	—
1512	C₄²	—	5	1	no	—
1513	C₄²	—	5	1	no	—
1514	C₄²	—	10	1	no	—
1515	C₄²	—	10	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	—	4	1	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	1	no	—
1546	C₂³	—	10	1	no	—
1547	C₂³	—	20	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	Q₈	—	40	1	no	—
1561	Q₈	—	40	1	no	—
1562	Q₈	—	40	1	no	—
1563	Q₈	—	40	1	no	—
1564	D₄	—	2	1	no	—
1565	D₄	—	2	1	no	—
1566	D₄	—	4	1	no	—
1567	D₄	—	8	1	no	—
1568	D₄	—	8	1	no	—
1569	D₄	—	10	2	no	—
1570	D₄	—	10	2	no	—
1571	D₄	—	10	1	no	—
1572	D₄	—	10	1	no	—
1573	D₄	—	10	1	no	—
1574	D₄	—	10	1	no	—
1575	D₄	—	20	1	no	—
1576	D₄	—	20	2	no	—
1577	D₄	—	20	2	no	—
1578	D₄	—	20	2	no	—
1579	D₄	—	20	2	no	—
1580	D₄	—	40	1	no	—
1581	D₄	—	40	1	no	—
1582	D₄	—	40	1	no	—
1583	D₄	—	40	1	no	—
1584	D₄	—	40	1	no	—
1585	D₄	—	40	1	no	—
1586	D₄	—	40	1	no	—
1587	D₄	—	40	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	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	4	2	no	—
1600	C₂×C₄	—	4	2	no	—
1601	C₂×C₄	—	5	1	no	—
1602	C₂×C₄	—	5	1	no	—
1603	C₂×C₄	—	5	2	no	—
1604	C₂×C₄	—	5	2	no	—
1605	C₂×C₄	—	5	1	no	—
1606	C₂×C₄	—	5	1	no	—
1607	C₂×C₄	—	5	1	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	2	no	—
1613	C₂×C₄	—	10	2	no	—
1614	C₂×C₄	—	10	2	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	—	10	1	no	—
1623	C₂×C₄	—	10	1	no	—
1624	C₂×C₄	—	10	1	no	—
1625	C₂×C₄	—	20	1	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	—	20	2	no	—
1632	C₂×C₄	—	20	2	no	—
1633	C₂×C₄	—	20	2	no	—
1634	C₂×C₄	—	20	2	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	#61256	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	—	2	1	no	—
1658	C₂²	—	4	1	no	—
1659	C₂²	—	4	1	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	5	2	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	—	10	1	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	2	no	—
1678	C₂²	—	40	4	no	—
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	—	5	2	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	—	4	1	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	D₅×#575	1	1	yes	characteristic
1714	C₂	#10619108	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×#3348	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3348	D₅
hypocenter	C₅	#61256
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3348

Complements

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

N	H ≅ G/N	type
1. D₅×#555	C₂	semidirect
2. #10618728	C₂	semidirect
3. C₅×#3348	C₂	semidirect
4. #10615379	C₂	semidirect
5. #10615325	C₂	semidirect
6. #10613725	C₂	semidirect
7. #10613707	C₂	semidirect
8. #10613263	C₂	semidirect
9. #10613247	C₂	semidirect
10. #10613247	C₂	semidirect
11. #10613244	C₂	semidirect
12. #10613120	C₂	semidirect
13. #10613104	C₂	semidirect
14. #10613069	C₂	semidirect
15. #10613057	C₂	semidirect
16. #10612929	C₂	semidirect
17. #10612897	C₂	semidirect
18. #10612762	C₂	semidirect
19. #10612743	C₂	semidirect
20. #10612536	C₂	semidirect
21. #10612533	C₂	semidirect
22. #10612388	C₂	semidirect
23. #10612381	C₂	semidirect
24. #10611539	C₂	semidirect
25. #10611504	C₂	semidirect
26. #10611214	C₂	semidirect
27. #10611204	C₂	semidirect
28. #10610966	C₂	semidirect
29. #10610939	C₂	semidirect
30. #10610921	C₂	semidirect
31. #10610908	C₂	semidirect
33. C₅×#552	C₂²	semidirect
41. #66029	C₂²	semidirect
51. #65975	C₂²	semidirect
52. #65969	C₂²	semidirect
61. #65915	C₂²	semidirect
63. #65899	C₂²	semidirect
71. #65866	C₂²	semidirect
78. #65841	C₂²	semidirect
80. C₅×#501	C₂²	semidirect
81. C₅×#485	C₂²	semidirect
82. C₅×#485	C₂²	semidirect
83. C₅×#482	C₂²	semidirect
84. C₅×#481	C₂²	semidirect
85. C₅×#478	C₂²	semidirect
86. C₅×#475	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. C₅×#427	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. #65395	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. #65334	C₂²	semidirect
110. #65328	C₂²	semidirect
111. #65327	C₂²	semidirect
112. #65324	C₂²	semidirect
113. #65322	C₂²	semidirect
114. #65315	C₂²	semidirect
115. #65309	C₂²	semidirect
116. #65303	C₂²	semidirect
117. #65300	C₂²	semidirect
118. #65298	C₂²	semidirect
119. #65292	C₂²	semidirect
120. #65292	C₂²	semidirect
121. #65292	C₂²	semidirect
122. #65287	C₂²	semidirect
123. #65287	C₂²	semidirect
124. #65284	C₂²	semidirect
125. #65257	C₂²	semidirect
126. #65253	C₂²	semidirect
127. #65179	C₂²	semidirect
128. #65174	C₂²	semidirect
129. #65174	C₂²	semidirect
130. #65172	C₂²	semidirect
131. #65171	C₂²	semidirect
136. #65170	C₂²	semidirect
137. #65170	C₂²	semidirect
138. #65169	C₂²	semidirect
139. #65169	C₂²	semidirect
140. #65163	C₂²	semidirect
141. #65163	C₂²	semidirect
142. #65161	C₂²	semidirect
143. #65159	C₂²	semidirect
144. #65159	C₂²	semidirect
145. #65159	C₂²	semidirect
146. #65155	C₂²	semidirect
147. #65155	C₂²	semidirect
148. #65155	C₂²	semidirect
149. #65155	C₂²	semidirect
150. #65154	C₂²	semidirect
151. #65152	C₂²	semidirect
157. #65150	C₂²	semidirect
158. #65150	C₂²	semidirect
159. #65149	C₂²	semidirect
160. #65149	C₂²	semidirect
161. #65144	C₂²	semidirect
162. #65144	C₂²	semidirect
163. #65136	C₂²	semidirect
164. #65135	C₂²	semidirect
166. #65125	C₂²	semidirect
167. #65104	C₂²	semidirect
168. #65104	C₂²	semidirect
169. #65103	C₂²	semidirect
170. #65103	C₂²	semidirect
171. #65101	C₂²	semidirect
172. #65096	C₂²	semidirect
176. #65083	C₂²	semidirect
177. #65083	C₂²	semidirect
178. #65077	C₂²	semidirect
179. #65073	C₂²	semidirect
180. #65073	C₂²	semidirect
181. #65071	C₂²	semidirect
182. #65066	C₂²	semidirect
183. #65064	C₂²	semidirect
184. #65063	C₂²	semidirect
188. #65050	C₂²	semidirect
189. #65048	C₂²	semidirect
190. #65045	C₂²	semidirect
191. #65026	C₂²	semidirect
192. #65026	C₂²	semidirect
193. #65026	C₂²	semidirect
194. #65025	C₂²	semidirect
195. #65018	C₂²	semidirect
198. #65014	C₂²	semidirect
199. #65000	C₂²	semidirect
201. #64995	C₂²	semidirect
202. #64991	C₂²	semidirect
491. #3348	D₅	semidirect
711. #676	#41	semidirect
736. #552	C₂×D₅	semidirect
765. #501	C₂×D₅	semidirect
776. #485	C₂×D₅	semidirect
777. #485	C₂×D₅	semidirect
793. #482	C₂×D₅	semidirect
797. #481	C₂×D₅	semidirect
805. #478	C₂×D₅	semidirect
813. #475	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
874. #427	C₂×D₅	semidirect
1651. C₅	#61256	semidirect

Maximal subgroups

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

subgroup	index
D₅×#555	2
#10618728	2
C₅×#3348	2
#10615379	2
#10615325	2
#10613725	2
#10613707	2
#10613263	2
#10613247	2
#10613244	2
#10613120	2
#10613104	2
#10613069	2
#10613057	2
#10612929	2
#10612897	2
#10612762	2
#10612743	2
#10612536	2
#10612533	2
#10612388	2
#10612381	2
#10611539	2
#10611504	2
#10611214	2
#10611204	2
#10610966	2
#10610939	2
#10610921	2
#10610908	2
#61256	5