Subgroups — #12996400

Order 1280.

1708 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618797	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618588	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3307	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615338	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615242	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613478	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613465	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613263	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613234	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613155	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613154	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612900	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612893	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612562	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612527	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612385	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612372	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612174	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612147	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611843	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611833	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611803	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611802	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611605	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611586	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611204	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611194	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610625	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610603	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610590	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610553	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#553	C₂²	1	1	yes	characteristic, complemented
33	C₅×#547	C₂²	1	1	yes	characteristic
34	#66163	C₂²	1	1	yes	characteristic
35	#66163	C₂²	1	1	yes	characteristic
36	#66161	C₂²	1	1	yes	characteristic
37	#41×Dic₅	C₂²	1	1	yes	characteristic
38	#66066	C₂²	1	1	yes	characteristic
39	#66065	C₂²	1	1	yes	characteristic
40	#66044	—	2	1	no	—
41	#66042	—	2	1	no	—
42	#66024	C₂²	1	1	yes	characteristic, complemented
43	#66023	C₂²	1	1	yes	characteristic
44	#66001	—	2	1	no	—
45	#65999	—	2	1	no	—
46	#65992	—	2	1	no	—
47	#65992	—	2	1	no	—
48	#65983	—	2	1	no	—
49	#65982	—	2	1	no	—
50	#65977	C₂²	1	1	yes	characteristic
51	#65976	C₂²	1	1	yes	characteristic
52	#65975	C₂²	1	1	yes	characteristic
53	#65958	C₂²	1	1	yes	characteristic
54	#65955	—	2	1	no	—
55	#65953	C₂²	1	1	yes	characteristic, complemented
56	#65951	—	2	1	no	—
57	#65950	C₂²	1	1	yes	characteristic
58	#65948	C₂²	1	1	yes	characteristic
59	#65942	—	2	1	no	—
60	#65935	—	2	1	no	—
61	#65930	C₂²	1	1	yes	characteristic, complemented
62	#65899	C₂²	1	1	yes	characteristic
63	#65897	C₂²	1	1	yes	characteristic, complemented
64	#65896	C₂²	1	1	yes	characteristic
65	#65895	—	2	1	no	—
66	#65886	—	2	1	no	—
67	#65879	C₂²	1	1	yes	characteristic
68	#65873	C₂²	1	1	yes	characteristic
69	#65872	C₂²	1	1	yes	characteristic
70	D₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
71	#65866	C₂²	1	1	yes	characteristic
72	#65851	C₂²	1	1	yes	characteristic, complemented
73	#65847	—	2	1	no	—
74	C₂×#4044	—	2	1	no	—
75	#65841	C₂²	1	1	yes	characteristic
76	#65834	C₂²	1	1	yes	characteristic, complemented
77	C₅×#491	C₂²	1	1	yes	characteristic, complemented
78	C₅×#485	C₂²	1	1	yes	characteristic, complemented
79	C₅×#483	C₂²	1	1	yes	characteristic, complemented
80	C₅×#478	C₂²	1	1	yes	characteristic
81	C₅×#468	C₂²	1	1	yes	characteristic, complemented
82	C₅×#465	C₂²	1	1	yes	characteristic, complemented
83	C₅×#461	C₂²	1	1	yes	characteristic, complemented
84	C₅×#449	C₂²	1	1	yes	characteristic
85	C₅×#449	C₂²	1	1	yes	characteristic
86	C₅×#442	C₂²	1	1	yes	characteristic
87	C₅×#435	C₂²	1	1	yes	characteristic, complemented
88	C₅×#417	C₂²	1	1	yes	characteristic
89	C₅×#416	C₂²	1	1	yes	characteristic
90	#65527	C₂²	1	1	yes	characteristic
91	#65527	C₂²	1	1	yes	characteristic
92	#65522	C₂²	1	1	yes	characteristic
93	#65522	C₂²	1	1	yes	characteristic
94	#65463	C₂²	1	1	yes	characteristic
95	#65460	C₂²	1	1	yes	characteristic
96	#65454	C₂²	1	1	yes	characteristic
97	#65454	C₂²	1	1	yes	characteristic
98	#65453	C₂²	1	1	yes	characteristic, complemented
99	#65453	C₂²	1	1	yes	characteristic, complemented
100	#65452	C₂²	1	1	yes	characteristic, complemented
101	#65452	C₂²	1	1	yes	characteristic, complemented
102	#65445	C₂²	1	1	yes	characteristic
103	#65441	C₂²	1	1	yes	characteristic
104	#65439	C₂²	1	1	yes	characteristic
105	D₈×Dic₅	C₂²	1	1	yes	characteristic
106	#65424	C₂²	1	1	yes	characteristic
107	#65416	C₂²	1	1	yes	characteristic
108	#65410	C₂²	1	1	yes	characteristic, complemented
109	#65408	C₂²	1	1	yes	characteristic, complemented
110	#65404	C₂²	1	1	yes	characteristic
111	#65400	C₂²	1	1	yes	characteristic
112	#65395	C₂²	1	1	yes	characteristic, complemented
113	C₂×#3946	C₂²	1	1	yes	characteristic, complemented
114	#65372	C₂²	1	1	yes	characteristic, complemented
115	#65370	C₂²	1	1	yes	characteristic, complemented
116	#65355	C₂²	1	1	yes	characteristic
117	#65353	C₂²	1	1	yes	characteristic, complemented
118	#65337	C₂²	1	1	yes	characteristic, complemented
119	#65337	C₂²	1	1	yes	characteristic, complemented
120	#65334	C₂²	1	1	yes	characteristic, complemented
121	#65334	C₂²	1	1	yes	characteristic, complemented
122	#65327	C₂²	1	1	yes	characteristic
123	#65327	C₂²	1	1	yes	characteristic
124	#65324	C₂²	1	1	yes	characteristic, complemented
125	#65323	C₂²	1	1	yes	characteristic, complemented
126	C₄×#686	C₂²	1	1	yes	characteristic
127	C₄×#686	C₂²	1	1	yes	characteristic
128	D₄×#168	C₂²	1	1	yes	characteristic, complemented
129	#65298	C₂²	1	1	yes	characteristic, complemented
130	#65297	C₂²	1	1	yes	characteristic
131	#65292	C₂²	1	1	yes	characteristic
132	#65287	C₂²	1	1	yes	characteristic, complemented
133	#65257	C₂²	1	1	yes	characteristic
134	C₂×#3939	C₂²	1	1	yes	characteristic, complemented
135	#65180	C₂²	1	1	yes	characteristic
136	#65179	C₂²	1	1	yes	characteristic, complemented
137	#65169	C₂²	1	1	yes	characteristic
138	#65165	C₂²	1	1	yes	characteristic, complemented
139	#65160	C₂²	1	1	yes	characteristic
140	#65160	C₂²	1	1	yes	characteristic, complemented
141	#65159	C₂²	1	1	yes	characteristic
142	#65155	C₂²	1	1	yes	characteristic
143	#65150	C₂²	1	1	yes	characteristic
144	#65145	C₂²	1	1	yes	characteristic, complemented
145	#65145	C₂²	1	1	yes	characteristic, complemented
146	#65144	C₂²	1	1	yes	characteristic, complemented
147	#65136	C₂²	1	1	yes	characteristic, complemented
148	#65135	C₂²	1	1	yes	characteristic
149	#65128	C₂²	1	1	yes	characteristic
150	#65120	C₂²	1	1	yes	characteristic, complemented
151	#65108	C₂²	1	1	yes	characteristic
152	#65108	C₂²	1	1	yes	characteristic
153	#65106	C₂²	1	1	yes	characteristic, complemented
154	#65104	C₂²	1	1	yes	characteristic
155	#65103	C₂²	1	1	yes	characteristic
156	#65101	C₂²	1	1	yes	characteristic
157	#65098	C₂²	1	1	yes	characteristic
158	#65096	C₂²	1	1	yes	characteristic
159	#65094	C₂²	1	1	yes	characteristic
160	#65089	C₂²	1	1	yes	characteristic
161	#65088	C₂²	1	1	yes	characteristic, complemented
162	#65088	C₂²	1	1	yes	characteristic, complemented
163	#65088	C₂²	1	1	yes	characteristic, complemented
164	#65085	C₂²	1	1	yes	characteristic, complemented
165	#65085	C₂²	1	1	yes	characteristic, complemented
166	#65084	C₂²	1	1	yes	characteristic
167	#65084	C₂²	1	1	yes	characteristic
168	#65084	C₂²	1	1	yes	characteristic
169	#65083	C₂²	1	1	yes	characteristic, complemented
170	#65083	C₂²	1	1	yes	characteristic, complemented
171	#65083	C₂²	1	1	yes	characteristic, complemented
172	#65080	C₂²	1	1	yes	characteristic, complemented
173	#65080	C₂²	1	1	yes	characteristic, complemented
174	#65077	C₂²	1	1	yes	characteristic, complemented
175	#65075	C₂²	1	1	yes	characteristic
176	#65074	C₂²	1	1	yes	characteristic
177	#65074	C₂²	1	1	yes	characteristic
178	#65068	C₂²	1	1	yes	characteristic
179	#65062	C₂²	1	1	yes	characteristic
180	#65059	C₂²	1	1	yes	characteristic
181	D₅×#102	C₂²	1	1	yes	characteristic
182	#65055	C₂²	1	1	yes	characteristic
183	#65055	C₂²	1	1	yes	characteristic, complemented
184	#65052	C₂²	1	1	yes	characteristic
185	#65052	C₂²	1	1	yes	characteristic
186	#65050	C₂²	1	1	yes	characteristic
187	#65050	C₂²	1	1	yes	characteristic, complemented
188	#65048	C₂²	1	1	yes	characteristic
189	#65048	C₂²	1	1	yes	characteristic
190	#65048	C₂²	1	1	yes	characteristic
191	#65026	C₂²	1	1	yes	characteristic
192	#65026	C₂²	1	1	yes	characteristic
193	#65026	C₂²	1	1	yes	characteristic, complemented
194	#65025	C₂²	1	1	yes	characteristic, complemented
195	#65019	C₂²	1	1	yes	characteristic
196	#65014	C₂²	1	1	yes	characteristic
197	#65009	C₂²	1	1	yes	characteristic, complemented
198	#65008	C₂²	1	1	yes	characteristic, complemented
199	#65000	C₂²	1	1	yes	characteristic
200	#64998	C₂²	1	1	yes	characteristic
201	#64991	C₂²	1	1	yes	characteristic, complemented
202	#64990	C₂²	1	1	yes	characteristic, complemented
203	#62171	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂×C₅×#41	C₂³	1	1	yes	characteristic
206	C₂×#711	—	2	1	no	—
207	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
208	C₂×#709	—	2	1	no	—
209	C₂²×Dic₁₀	—	2	1	no	—
210	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
213	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
214	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
215	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₅×#126	—	2	1	no	—
217	C₅×#125	C₂³	1	1	yes	characteristic
218	C₅×#123	—	2	1	no	—
219	C₅×#123	—	2	1	no	—
220	C₅×#123	—	2	1	no	—
221	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₅×#121	—	2	1	no	—
224	C₅×#121	—	2	1	no	—
225	C₅×#121	C₂³	1	1	yes	characteristic
226	C₅×#121	C₂³	1	1	yes	characteristic
227	C₄×C₅×D₄	—	2	1	no	—
228	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
229	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
230	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
231	C₅×#117	C₂³	1	1	yes	characteristic
232	C₂×C₅×C₄⋊C₄	—	2	1	no	—
233	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	#4093	C₂³	1	1	yes	characteristic
235	#4093	C₂³	1	1	yes	characteristic
236	#4092	C₂³	1	1	yes	characteristic
237	#4092	C₂³	1	1	yes	characteristic
238	Q₈×Dic₅	C₂³	1	1	yes	characteristic
239	Q₈×Dic₅	C₂³	1	1	yes	characteristic
240	Q₈×Dic₅	C₂³	1	1	yes	characteristic
241	Q₈×Dic₅	C₂³	1	1	yes	characteristic
242	C₂×#688	C₂³	1	1	yes	characteristic
243	C₂×#688	C₂³	1	1	yes	characteristic
244	#4086	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	#4085	—	2	1	no	—
251	#4085	D₄	1	1	yes	characteristic
252	#4084	—	2	1	no	—
253	#4084	—	2	1	no	—
254	#4084	—	2	1	no	—
255	#4084	C₂³	1	1	yes	characteristic
256	#4083	—	2	1	no	—
257	#4083	—	2	1	no	—
258	#4082	—	2	1	no	—
259	#4081	—	2	1	no	—
260	#4081	D₄	1	1	yes	characteristic
261	D₄×Dic₅	—	2	1	no	—
262	D₄×Dic₅	—	2	1	no	—
263	D₄×Dic₅	—	2	1	no	—
264	D₄×Dic₅	—	2	1	no	—
265	D₄×Dic₅	C₂³	1	1	yes	characteristic
266	D₄×Dic₅	C₂³	1	1	yes	characteristic
267	D₄×Dic₅	C₂³	1	1	yes	characteristic
268	D₄×Dic₅	C₂³	1	1	yes	characteristic
269	D₄×Dic₅	C₂³	1	1	yes	characteristic
270	C₂×#686	C₂³	1	1	yes	characteristic
271	C₂×#686	C₂³	1	1	yes	characteristic
272	#4076	—	2	1	no	—
273	#4076	C₂³	1	1	yes	characteristic
274	#4076	C₂³	1	1	yes	characteristic
275	#4076	C₂³	1	1	yes	characteristic
276	#4076	C₂³	1	1	yes	characteristic
277	#4075	—	2	1	no	—
278	#4075	—	2	1	no	—
279	#4075	—	2	1	no	—
280	#4075	—	2	1	no	—
281	C₄×C₂²⋊D₅	—	2	1	no	—
282	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
283	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
284	C₂×#685	—	2	1	no	—
285	C₂×#685	—	2	1	no	—
286	C₂×#685	—	2	1	no	—
287	#4072	—	2	1	no	—
288	#4072	—	2	1	no	—
289	#4072	C₂³	1	1	yes	characteristic
290	#4072	C₂³	1	1	yes	characteristic
291	#4072	C₂³	1	1	yes	characteristic
292	#4072	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊Dic₅	—	2	1	no	—
294	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
295	#4070	—	2	1	no	—
296	#4070	—	2	1	no	—
297	#4070	—	2	1	no	—
298	#4070	—	2	1	no	—
299	C₂×#683	—	2	1	no	—
300	C₂×C₄×Dic₅	—	2	1	no	—
301	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
302	C₂²×#168	C₂³	1	1	yes	characteristic
303	C₂²×#168	C₂³	1	1	yes	characteristic
304	C₂×D₄₀	C₂³	1	1	yes	characteristic
305	C₂×#676	C₂³	1	1	yes	characteristic
306	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
307	#4044	—	2	1	no	—
308	#4044	—	2	1	no	—
309	#4044	—	2	1	no	—
310	#4044	—	2	1	no	—
311	#4044	—	2	1	no	—
312	#4044	—	2	1	no	—
313	#4044	—	2	1	no	—
314	#4044	—	2	1	no	—
315	#4044	—	2	1	no	—
316	#4044	D₄	1	1	yes	characteristic
317	#4043	—	2	1	no	—
318	#4043	—	2	1	no	—
319	#4043	—	2	1	no	—
320	#4043	—	2	1	no	—
321	#4042	—	2	1	no	—
322	#4042	—	2	1	no	—
323	#4042	—	2	1	no	—
324	#4042	—	2	1	no	—
325	#4041	C₂³	1	1	yes	characteristic
326	#4040	—	2	1	no	—
327	#4039	C₂³	1	1	yes	characteristic
328	#4039	C₂³	1	1	yes	characteristic
329	#4039	C₂³	1	1	yes	characteristic
330	#4038	—	2	1	no	—
331	#4038	—	2	1	no	—
332	#4038	—	2	1	no	—
333	#4038	C₂³	1	1	yes	characteristic
334	#4038	C₂³	1	1	yes	characteristic
335	D₅×C₄⋊C₄	—	2	1	no	—
336	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
337	#4036	—	2	1	no	—
338	#4036	—	2	1	no	—
339	#4036	C₂³	1	1	yes	characteristic
340	#4036	C₂³	1	1	yes	characteristic
341	#4036	C₂³	1	1	yes	characteristic
342	#4036	C₂³	1	1	yes	characteristic
343	#4035	—	2	1	no	—
344	#4035	—	2	1	no	—
345	#4035	—	2	1	no	—
346	#4035	D₄	1	1	yes	characteristic
347	#4034	—	2	1	no	—
348	#4034	—	2	1	no	—
349	#4034	C₂³	1	1	yes	characteristic
350	#4034	C₂³	1	1	yes	characteristic
351	#4034	C₂³	1	1	yes	characteristic
352	#4034	C₂³	1	1	yes	characteristic
353	#4034	C₂³	1	1	yes	characteristic
354	#4033	—	2	1	no	—
355	#4032	—	2	1	no	—
356	#4032	—	2	1	no	—
357	#4032	—	2	1	no	—
358	#4032	D₄	1	1	yes	characteristic
359	#4031	—	2	1	no	—
360	#4031	—	2	1	no	—
361	#4031	—	2	1	no	—
362	#4031	—	2	1	no	—
363	#4031	—	2	1	no	—
364	#4031	—	2	1	no	—
365	#4031	—	2	1	no	—
366	#4031	D₄	1	1	yes	characteristic
367	#4030	—	2	1	no	—
368	#4030	—	2	1	no	—
369	#4029	—	2	1	no	—
370	#4029	—	2	1	no	—
371	#4029	—	2	1	no	—
372	#4029	—	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	D₅×C₂²⋊C₄	—	2	1	no	—
379	#4025	—	2	1	no	—
380	#4025	—	2	1	no	—
381	#4025	D₄	1	1	yes	characteristic
382	#4024	—	2	1	no	—
383	#4024	—	2	1	no	—
384	#4024	—	2	1	no	—
385	#4024	—	2	1	no	—
386	#4024	—	2	1	no	—
387	#4024	—	2	1	no	—
388	#4024	D₄	1	1	yes	characteristic
389	#4023	—	2	1	no	—
390	#4023	—	2	1	no	—
391	#4021	—	2	1	no	—
392	C₄×D₂₀	C₂³	1	1	yes	characteristic
393	C₄×D₂₀	C₂³	1	1	yes	characteristic
394	#4018	—	2	1	no	—
395	#4018	C₂³	1	1	yes	characteristic
396	#4016	C₂³	1	1	yes	characteristic
397	#4015	C₂³	1	1	yes	characteristic
398	C₄×Dic₁₀	—	2	1	no	—
399	C₄×Dic₁₀	—	2	1	no	—
400	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
401	C₅×#107	C₂³	1	1	yes	characteristic
402	C₅×#106	C₂³	1	1	yes	characteristic
403	C₅×#106	C₂³	1	1	yes	characteristic
404	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
405	C₅×#103	C₂³	1	1	yes	characteristic
406	C₅×#103	C₂³	1	1	yes	characteristic
407	C₅×#103	C₂³	1	1	yes	characteristic
408	C₅×#103	C₂³	1	1	yes	characteristic
409	C₅×#103	C₂³	1	1	yes	characteristic
410	C₅×#103	C₂³	1	1	yes	characteristic
411	C₅×#102	C₂³	1	1	yes	characteristic
412	C₅×#102	C₂³	1	1	yes	characteristic
413	C₅×#102	C₂³	1	1	yes	characteristic
414	C₅×#102	C₂³	1	1	yes	characteristic
415	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
416	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
417	C₅×#97	C₂³	1	1	yes	characteristic
418	#3967	C₂³	1	1	yes	characteristic
419	#3967	C₂³	1	1	yes	characteristic
420	#3967	C₂³	1	1	yes	characteristic
421	#3967	C₂³	1	1	yes	characteristic
422	#3967	C₂³	1	1	yes	characteristic
423	#3967	C₂³	1	1	yes	characteristic
424	#3964	C₂³	1	1	yes	characteristic
425	#3964	C₂³	1	1	yes	characteristic
426	#3964	C₂³	1	1	yes	characteristic
427	#3964	C₂³	1	1	yes	characteristic
428	#3964	C₂³	1	1	yes	characteristic
429	#3964	C₂³	1	1	yes	characteristic
430	C₂²⋊#168	C₂³	1	1	yes	characteristic
431	C₂²⋊#168	C₂³	1	1	yes	characteristic
432	#3953	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	#3952	C₂³	1	1	yes	characteristic
439	#3952	C₂³	1	1	yes	characteristic
440	#3950	C₂³	1	1	yes	characteristic
441	#3950	C₂³	1	1	yes	characteristic
442	#3950	C₂³	1	1	yes	characteristic
443	#3950	C₂³	1	1	yes	characteristic
444	#3950	C₂³	1	1	yes	characteristic
445	#3949	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	#3947	C₂³	1	1	yes	characteristic
450	#3947	C₂³	1	1	yes	characteristic
451	#3947	C₂³	1	1	yes	characteristic
452	#3946	C₂³	1	1	yes	characteristic
453	#3946	C₂³	1	1	yes	characteristic
454	#3946	C₂³	1	1	yes	characteristic
455	#3946	C₂³	1	1	yes	characteristic
456	#3946	C₂³	1	1	yes	characteristic
457	#3946	C₂³	1	1	yes	characteristic
458	#3946	C₂³	1	1	yes	characteristic
459	#3946	C₂³	1	1	yes	characteristic
460	C₈×Dic₅	C₂³	1	1	yes	characteristic
461	#3941	C₂³	1	1	yes	characteristic
462	#3941	C₂³	1	1	yes	characteristic
463	#3941	C₂³	1	1	yes	characteristic
464	#3941	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	C₄⋊#168	C₂³	1	1	yes	characteristic
478	C₄×#168	C₂³	1	1	yes	characteristic
479	#3547	—	5	1	no	—
480	#3521	—	5	1	no	—
481	#3389	—	5	1	no	—
482	#3384	—	5	1	no	—
483	#3376	—	5	1	no	—
484	#3367	—	5	1	no	—
485	#3350	—	5	1	no	—
486	#3348	—	5	1	no	—
487	#3347	—	5	1	no	—
488	#3343	—	5	1	no	—
489	#3340	—	5	1	no	—
490	#3339	—	5	1	no	—
491	#3319	—	5	1	no	—
492	#3319	—	5	1	no	—
493	#3307	D₅	1	1	yes	characteristic, complemented
494	#3306	—	5	1	no	—
495	#3303	—	5	1	no	—
496	#3297	—	5	1	no	—
497	#3260	—	5	1	no	—
498	#3257	—	5	1	no	—
499	#3247	—	5	1	no	—
500	#3244	—	5	1	no	—
501	#3242	—	5	1	no	—
502	#3240	—	5	1	no	—
503	#3122	—	5	1	no	—
504	#3119	—	5	1	no	—
505	#3115	—	5	1	no	—
506	#3083	—	5	1	no	—
507	#3081	—	5	1	no	—
508	#3076	—	5	1	no	—
509	#2992	—	5	1	no	—
510	C₂³×D₅	—	2	1	no	—
511	C₅×#41	—	2	2	no	—
512	C₅×#41	—	2	2	no	—
513	C₅×#41	—	4	1	no	—
514	C₅×#41	—	4	1	no	—
515	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
516	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
517	C₂×C₅×D₄	—	2	1	no	—
518	C₂×C₅×D₄	—	2	1	no	—
519	C₂×C₅×D₄	—	2	1	no	—
520	C₂×C₅×D₄	—	2	1	no	—
521	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
522	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
523	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₅	—	2	1	no	—
525	C₂²×C₄×C₅	—	2	1	no	—
526	C₂²×C₄×C₅	—	2	1	no	—
527	C₂²×C₄×C₅	—	2	1	no	—
528	C₂²×C₄×C₅	—	2	1	no	—
529	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
536	C₂×C₂²⋊D₅	—	2	1	no	—
537	C₂×C₂²⋊D₅	—	2	1	no	—
538	C₂×C₂²⋊D₅	—	2	1	no	—
539	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
540	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
541	C₂²×Dic₅	—	2	1	no	—
542	C₂²×Dic₅	—	2	1	no	—
543	C₂²×Dic₅	—	2	1	no	—
544	C₂²×Dic₅	—	2	1	no	—
545	C₂²×Dic₅	—	2	1	no	—
546	C₂²×Dic₅	—	2	1	no	—
547	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
548	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
549	#711	—	8	2	no	—
550	D₄×D₅	—	2	2	no	—
551	D₄×D₅	—	4	1	no	—
552	#709	—	8	2	no	—
553	C₂×D₂₀	—	2	1	no	—
554	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
555	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
556	C₂×C₄×D₅	—	2	1	no	—
557	C₂×C₄×D₅	—	2	1	no	—
558	C₂×C₄×D₅	—	2	1	no	—
559	C₂×C₄×D₅	—	2	1	no	—
560	C₂×C₄×D₅	—	2	1	no	—
561	C₂×C₄×D₅	—	2	1	no	—
562	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
563	C₂×Dic₁₀	—	2	1	no	—
564	C₂×Dic₁₀	—	2	1	no	—
565	C₂×Dic₁₀	—	2	1	no	—
566	C₂×Dic₁₀	—	2	1	no	—
567	C₂×Dic₁₀	—	2	1	no	—
568	C₂×Dic₁₀	—	2	1	no	—
569	C₂×Dic₁₀	—	8	2	no	—
570	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
571	C₅×SD₁₆	—	4	1	no	—
572	C₅×SD₁₆	—	4	1	no	—
573	C₅×D₈	—	2	2	no	—
574	C₅×M₁₆	—	4	1	no	—
575	C₂×C₅×C₈	—	4	1	no	—
576	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
577	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
578	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
579	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
580	C₅×C₄⋊C₄	—	2	1	no	—
581	C₅×C₄⋊C₄	—	2	1	no	—
582	C₅×C₄⋊C₄	—	2	1	no	—
583	C₅×C₄⋊C₄	—	2	1	no	—
584	C₅×C₄⋊C₄	—	2	1	no	—
585	C₅×C₄⋊C₄	—	2	1	no	—
586	C₅×C₄⋊C₄	—	2	1	no	—
587	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
588	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
589	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
590	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
591	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
592	C₅×C₂²⋊C₄	—	2	1	no	—
593	C₅×C₂²⋊C₄	—	2	1	no	—
594	C₅×C₂²⋊C₄	—	2	1	no	—
595	C₅×C₂²⋊C₄	—	2	1	no	—
596	C₅×C₂²⋊C₄	—	2	1	no	—
597	C₅×C₂²⋊C₄	—	2	1	no	—
598	C₅×C₂²⋊C₄	—	2	1	no	—
599	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
600	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
601	C₄²×C₅	—	2	1	no	—
602	C₄²×C₅	C₂⁴	1	1	yes	characteristic
603	C₂²⋊Dic₅	—	2	1	no	—
604	C₂²⋊Dic₅	—	2	1	no	—
605	C₂²⋊Dic₅	—	2	1	no	—
606	C₂²⋊Dic₅	—	2	1	no	—
607	C₂²⋊Dic₅	—	2	1	no	—
608	C₂²⋊Dic₅	—	2	1	no	—
609	C₂²⋊Dic₅	—	2	1	no	—
610	C₂²⋊Dic₅	—	2	1	no	—
611	C₂²⋊Dic₅	—	2	1	no	—
612	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
613	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
614	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
615	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
616	#688	—	4	1	no	—
617	#688	—	4	1	no	—
618	#686	—	2	2	no	—
619	#686	—	4	1	no	—
620	#685	—	2	1	no	—
621	#685	—	2	1	no	—
622	#685	—	2	1	no	—
623	#685	—	2	1	no	—
624	#685	—	2	1	no	—
625	#685	—	2	1	no	—
626	#685	—	2	1	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	C₂×D₄	1	1	yes	characteristic
639	#685	C₂×D₄	1	1	yes	characteristic
640	#685	C₂×D₄	1	1	yes	characteristic
641	#685	C₂×D₄	1	1	yes	characteristic
642	C₄⋊Dic₅	—	2	1	no	—
643	C₄⋊Dic₅	—	2	1	no	—
644	C₄⋊Dic₅	—	2	1	no	—
645	C₄⋊Dic₅	—	2	1	no	—
646	C₄⋊Dic₅	—	2	1	no	—
647	C₄⋊Dic₅	—	2	1	no	—
648	C₄⋊Dic₅	—	2	1	no	—
649	C₄⋊Dic₅	—	2	1	no	—
650	C₄⋊Dic₅	—	2	1	no	—
651	C₄⋊Dic₅	—	2	1	no	—
652	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
653	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
654	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
655	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
656	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
657	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
658	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
659	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
660	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
661	#683	—	2	1	no	—
662	#683	—	2	1	no	—
663	#683	—	2	1	no	—
664	#683	—	2	1	no	—
665	#683	—	2	1	no	—
666	#683	—	2	1	no	—
667	#683	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
676	#683	C₂×D₄	1	1	yes	characteristic
677	#683	C₂×D₄	1	1	yes	characteristic
678	#683	C₂×D₄	1	1	yes	characteristic
679	#683	C₂×D₄	1	1	yes	characteristic
680	#683	C₂×D₄	1	1	yes	characteristic
681	C₄×Dic₅	—	2	1	no	—
682	C₄×Dic₅	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
691	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
692	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
693	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
694	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
695	C₂×#168	—	4	1	no	—
696	C₂×#168	—	4	1	no	—
697	C₂×#168	C₂⁴	1	1	yes	characteristic
698	C₂×#168	C₂⁴	1	1	yes	characteristic
699	C₂×#168	C₂⁴	1	1	yes	characteristic
700	C₂×#168	C₂⁴	1	1	yes	characteristic
701	D₄₀	—	4	1	no	—
702	#676	—	4	1	no	—
703	C₈×D₅	—	4	1	no	—
704	#562	—	10	1	no	—
705	#562	—	10	1	no	—
706	#556	—	5	1	no	—
707	#556	—	5	1	no	—
708	#555	—	5	1	no	—
709	#555	—	5	1	no	—
710	#555	—	5	1	no	—
711	#554	—	5	1	no	—
712	#554	—	5	1	no	—
713	#553	—	5	1	no	—
714	#553	—	5	1	no	—
715	#553	—	10	1	no	—
716	#553	C₂×D₅	1	1	yes	characteristic, complemented
717	#552	—	5	1	no	—
718	#552	—	10	1	no	—
719	#552	—	10	1	no	—
720	#551	—	10	1	no	—
721	#551	—	10	1	no	—
722	D₄×Q₈	—	5	1	no	—
723	#548	—	10	1	no	—
724	#547	—	5	1	no	—
725	#547	C₂×D₅	1	1	yes	characteristic
726	#546	—	5	1	no	—
727	#546	—	5	1	no	—
728	#544	—	5	1	no	—
729	#544	—	5	1	no	—
730	#542	—	5	1	no	—
731	#542	—	10	1	no	—
732	#542	—	10	1	no	—
733	#541	—	5	1	no	—
734	#540	—	5	1	no	—
735	#540	—	5	1	no	—
736	#539	—	10	1	no	—
737	#538	—	10	1	no	—
738	#537	—	10	1	no	—
739	#536	—	10	1	no	—
740	#533	—	5	1	no	—
741	#532	—	5	1	no	—
742	#529	—	5	1	no	—
743	#529	—	5	1	no	—
744	#529	—	10	1	no	—
745	C₂×#126	—	10	1	no	—
746	#520	—	5	1	no	—
747	#518	—	5	1	no	—
748	C₄×#41	—	5	1	no	—
749	#501	—	5	1	no	—
750	#501	—	5	1	no	—
751	#501	—	5	1	no	—
752	#501	—	5	1	no	—
753	#499	—	5	1	no	—
754	#498	—	5	1	no	—
755	#491	C₂×D₅	1	1	yes	characteristic, complemented
756	#489	—	5	1	no	—
757	#489	—	5	1	no	—
758	#489	—	5	1	no	—
759	#488	—	5	1	no	—
760	#487	—	5	1	no	—
761	#485	—	5	1	no	—
762	#485	—	5	1	no	—
763	#485	—	5	1	no	—
764	#485	—	5	1	no	—
765	#485	C₂×D₅	1	1	yes	characteristic, complemented
766	#484	—	5	1	no	—
767	#483	—	5	1	no	—
768	#483	C₂×D₅	1	1	yes	characteristic, complemented
769	#482	—	5	1	no	—
770	#482	—	5	1	no	—
771	#482	—	5	1	no	—
772	#482	—	5	1	no	—
773	#482	—	5	1	no	—
774	#482	—	5	1	no	—
775	#482	—	5	1	no	—
776	#481	—	5	1	no	—
777	#481	—	5	1	no	—
778	#480	—	5	1	no	—
779	#479	—	5	1	no	—
780	#479	—	5	1	no	—
781	#479	—	5	1	no	—
782	#479	—	5	1	no	—
783	#479	—	5	1	no	—
784	#478	—	5	1	no	—
785	#478	—	5	1	no	—
786	#478	—	5	1	no	—
787	#478	—	5	1	no	—
788	#478	—	5	1	no	—
789	#478	—	5	1	no	—
790	#478	—	5	1	no	—
791	#478	—	5	1	no	—
792	#478	—	5	1	no	—
793	#478	—	5	1	no	—
794	#478	C₂×D₅	1	1	yes	characteristic
795	#477	—	5	1	no	—
796	#477	—	5	1	no	—
797	#477	—	5	1	no	—
798	#476	—	5	1	no	—
799	#476	—	5	1	no	—
800	#476	—	5	1	no	—
801	#476	—	5	1	no	—
802	#475	—	5	1	no	—
803	#475	—	5	1	no	—
804	#474	—	5	1	no	—
805	#474	—	5	1	no	—
806	#474	—	5	1	no	—
807	#474	—	5	1	no	—
808	#474	—	5	1	no	—
809	#469	—	5	1	no	—
810	#468	—	5	1	no	—
811	#468	—	5	1	no	—
812	#468	C₂×D₅	1	1	yes	characteristic, complemented
813	#466	—	5	1	no	—
814	#466	—	5	1	no	—
815	#466	—	5	1	no	—
816	#465	—	5	1	no	—
817	#465	—	5	1	no	—
818	#465	—	5	1	no	—
819	#465	—	5	1	no	—
820	#465	C₂×D₅	1	1	yes	characteristic, complemented
821	#463	—	5	1	no	—
822	#463	—	5	1	no	—
823	#463	—	5	1	no	—
824	#463	—	5	1	no	—
825	#461	—	5	1	no	—
826	#461	C₂×D₅	1	1	yes	characteristic, complemented
827	#460	—	5	1	no	—
828	#460	—	5	1	no	—
829	#459	—	5	1	no	—
830	#459	—	5	1	no	—
831	#449	—	5	1	no	—
832	#449	—	5	1	no	—
833	#449	C₂×D₅	1	1	yes	characteristic
834	#449	C₂×D₅	1	1	yes	characteristic
835	#447	—	5	1	no	—
836	#447	—	5	1	no	—
837	#446	—	5	1	no	—
838	#446	—	5	1	no	—
839	#442	—	5	1	no	—
840	#442	—	5	1	no	—
841	#442	—	5	1	no	—
842	#442	—	5	1	no	—
843	#442	C₂×D₅	1	1	yes	characteristic
844	#440	—	5	1	no	—
845	#440	—	5	1	no	—
846	#440	—	5	1	no	—
847	C₄×SD₁₆	—	5	1	no	—
848	C₄×D₈	—	5	1	no	—
849	C₄×D₈	—	5	1	no	—
850	C₄×D₈	—	5	1	no	—
851	#435	—	5	1	no	—
852	#435	—	5	1	no	—
853	#435	—	5	1	no	—
854	#435	C₂×D₅	1	1	yes	characteristic, complemented
855	C₈×D₄	—	5	1	no	—
856	C₈×D₄	—	5	1	no	—
857	#433	—	5	1	no	—
858	#433	—	5	1	no	—
859	#432	—	5	1	no	—
860	#428	—	5	1	no	—
861	#428	—	5	1	no	—
862	#427	—	5	1	no	—
863	#427	—	5	1	no	—
864	#427	—	5	1	no	—
865	C₂×#107	—	5	1	no	—
866	#424	—	5	1	no	—
867	#424	—	5	1	no	—
868	C₂×C₄⋊C₈	—	5	1	no	—
869	#418	—	5	1	no	—
870	#417	C₂×D₅	1	1	yes	characteristic
871	#416	—	5	1	no	—
872	#416	—	5	1	no	—
873	#416	C₂×D₅	1	1	yes	characteristic
874	C₂×#102	—	5	1	no	—
875	C₂³×C₅	—	2	1	no	—
876	C₂³×C₅	—	2	1	no	—
877	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
878	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
879	C₂²×D₅	—	2	1	no	—
880	C₂²×D₅	—	2	1	no	—
881	C₂²×D₅	—	4	2	no	—
882	C₂²×D₅	—	8	1	no	—
883	C₂²×D₅	—	8	1	no	—
884	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
885	C₅×Q₈	—	2	1	no	—
886	C₅×Q₈	—	2	1	no	—
887	C₅×Q₈	—	2	1	no	—
888	C₅×Q₈	—	2	1	no	—
889	C₅×D₄	—	2	1	no	—
890	C₅×D₄	—	2	1	no	—
891	C₅×D₄	—	2	1	no	—
892	C₅×D₄	—	4	1	no	—
893	C₅×D₄	—	4	2	no	—
894	C₅×D₄	—	4	2	no	—
895	C₅×D₄	—	8	1	no	—
896	C₅×D₄	—	8	1	no	—
897	C₅×D₄	2₋¹⁺⁴	1	2	yes	—
898	C₂×C₄×C₅	—	2	1	no	—
899	C₂×C₄×C₅	—	2	1	no	—
900	C₂×C₄×C₅	—	2	1	no	—
901	C₂×C₄×C₅	—	2	1	no	—
902	C₂×C₄×C₅	—	2	1	no	—
903	C₂×C₄×C₅	—	2	1	no	—
904	C₂×C₄×C₅	—	2	1	no	—
905	C₂×C₄×C₅	—	2	1	no	—
906	C₂×C₄×C₅	—	2	1	no	—
907	C₂×C₄×C₅	—	2	1	no	—
908	C₂×C₄×C₅	—	4	2	no	—
909	C₂×C₄×C₅	—	4	2	no	—
910	C₂×C₄×C₅	—	8	1	no	—
911	C₂×C₄×C₅	—	8	1	no	—
912	C₂×C₄×C₅	—	8	1	no	—
913	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
914	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
915	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
916	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
917	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
918	C₂²⋊D₅	—	4	1	no	—
919	C₂²⋊D₅	—	4	1	no	—
920	C₂²⋊D₅	—	4	2	no	—
921	C₂²⋊D₅	—	8	1	no	—
922	C₂²⋊D₅	—	8	1	no	—
923	C₂²⋊D₅	—	8	1	no	—
924	C₂²⋊D₅	—	8	1	no	—
925	C₂²⋊D₅	—	8	1	no	—
926	C₂²⋊D₅	—	8	1	no	—
927	C₂²⋊D₅	—	8	1	no	—
928	C₂×Dic₅	—	2	1	no	—
929	C₂×Dic₅	—	2	1	no	—
930	C₂×Dic₅	—	2	1	no	—
931	C₂×Dic₅	—	2	1	no	—
932	C₂×Dic₅	—	2	1	no	—
933	C₂×Dic₅	—	2	1	no	—
934	C₂×Dic₅	—	4	1	no	—
935	C₂×Dic₅	—	4	1	no	—
936	C₂×Dic₅	—	4	2	no	—
937	C₂×Dic₅	—	8	1	no	—
938	C₂×Dic₅	—	8	1	no	—
939	C₂×Dic₅	—	8	1	no	—
940	C₂×Dic₅	—	8	1	no	—
941	C₂×Dic₅	—	8	1	no	—
942	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
943	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
944	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
945	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
946	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
947	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
948	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
949	D₂₀	—	2	1	no	—
950	D₂₀	—	2	1	no	—
951	D₂₀	—	2	1	no	—
952	D₂₀	—	2	1	no	—
953	D₂₀	—	8	1	no	—
954	C₄×D₅	—	2	1	no	—
955	C₄×D₅	—	2	1	no	—
956	C₄×D₅	—	4	2	no	—
957	C₄×D₅	—	8	1	no	—
958	C₄×D₅	—	8	1	no	—
959	C₄×D₅	—	8	1	no	—
960	C₄×D₅	—	8	1	no	—
961	C₄×D₅	—	8	1	no	—
962	Dic₁₀	—	4	1	no	—
963	Dic₁₀	—	4	2	no	—
964	Dic₁₀	—	8	1	no	—
965	Dic₁₀	—	8	1	no	—
966	Dic₁₀	—	8	1	no	—
967	Dic₁₀	—	8	1	no	—
968	Dic₁₀	—	8	1	no	—
969	C₅×C₈	—	2	1	no	—
970	C₅×C₈	—	2	1	no	—
971	C₅×C₈	—	2	1	no	—
972	C₅×C₈	—	2	1	no	—
973	#168	—	2	1	no	—
974	#168	—	2	1	no	—
975	#168	—	2	1	no	—
976	#168	—	2	1	no	—
977	C₂×#41	—	10	1	no	—
978	C₂×#41	—	10	1	no	—
979	C₂×#41	C₂²×D₅	1	1	yes	characteristic
980	C₂×#41	C₂²×D₅	1	1	yes	characteristic
981	C₂²×Q₈	—	10	1	no	—
982	C₂²×D₄	—	5	1	no	—
983	C₂×SD₁₆	—	5	1	no	—
984	C₂×SD₁₆	—	5	1	no	—
985	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
986	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
987	C₂×D₈	—	5	1	no	—
988	C₂×D₈	—	5	1	no	—
989	C₂×D₈	—	5	1	no	—
990	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
991	C₂×M₁₆	—	5	1	no	—
992	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
993	C₂²×C₈	—	5	1	no	—
994	C₂²×C₈	—	5	1	no	—
995	C₂²×C₈	—	5	1	no	—
996	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
997	C₄⋊Q₈	—	5	1	no	—
998	C₄⋊Q₈	—	5	1	no	—
999	C₄⋊Q₈	—	5	1	no	—
1000	C₄⋊Q₈	—	5	1	no	—
1001	C₄⋊Q₈	—	5	1	no	—
1002	C₄⋊Q₈	—	5	1	no	—
1003	C₄⋊Q₈	—	10	1	no	—
1004	C₄⋊Q₈	—	10	1	no	—
1005	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1006	#127	—	5	1	no	—
1007	#126	—	2	1	no	—
1008	#126	—	5	1	no	—
1009	#126	—	5	1	no	—
1010	#126	—	10	1	no	—
1011	#126	—	10	1	no	—
1012	#126	—	10	1	no	—
1013	#126	—	10	1	no	—
1014	#126	—	10	1	no	—
1015	#126	—	10	1	no	—
1016	#126	—	10	1	no	—
1017	#126	—	10	1	no	—
1018	#126	—	10	1	no	—
1019	#126	—	10	1	no	—
1020	#126	—	10	1	no	—
1021	#125	—	5	1	no	—
1022	#125	—	5	1	no	—
1023	#125	—	5	1	no	—
1024	#125	—	5	1	no	—
1025	#125	—	5	1	no	—
1026	#125	—	5	1	no	—
1027	#125	—	10	1	no	—
1028	#125	—	10	1	no	—
1029	#125	—	10	1	no	—
1030	#125	—	10	1	no	—
1031	#125	—	10	1	no	—
1032	#125	C₂²×D₅	1	1	yes	characteristic
1033	#124	—	5	1	no	—
1034	#124	—	5	1	no	—
1035	#124	—	5	1	no	—
1036	#124	—	10	1	no	—
1037	#124	—	10	1	no	—
1038	#124	—	10	1	no	—
1039	#124	—	10	1	no	—
1040	#124	—	10	1	no	—
1041	#124	—	10	1	no	—
1042	#124	—	10	1	no	—
1043	#124	—	10	1	no	—
1044	#124	—	10	1	no	—
1045	#123	—	2	1	no	—
1046	#123	—	2	1	no	—
1047	#123	—	2	1	no	—
1048	#123	—	5	1	no	—
1049	#123	—	5	1	no	—
1050	#123	—	10	1	no	—
1051	#123	—	10	1	no	—
1052	#123	—	10	1	no	—
1053	#123	—	10	1	no	—
1054	#123	—	10	1	no	—
1055	#123	—	10	1	no	—
1056	#123	—	10	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	C₂²⋊Q₈	—	5	1	no	—
1064	C₂²⋊Q₈	—	5	1	no	—
1065	C₂²⋊Q₈	—	5	1	no	—
1066	C₂²⋊Q₈	—	10	1	no	—
1067	C₂²⋊Q₈	—	10	1	no	—
1068	C₂²⋊Q₈	—	10	1	no	—
1069	C₂²⋊Q₈	—	10	1	no	—
1070	C₂²⋊Q₈	—	10	1	no	—
1071	C₂²⋊Q₈	—	10	1	no	—
1072	C₂²⋊Q₈	—	10	1	no	—
1073	C₂²⋊Q₈	—	10	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	—	10	1	no	—
1080	C₂²⋊Q₈	—	10	1	no	—
1081	C₂²⋊Q₈	—	10	1	no	—
1082	C₂²⋊Q₈	—	10	1	no	—
1083	C₂²⋊Q₈	—	10	1	no	—
1084	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1085	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1086	#121	—	2	1	no	—
1087	#121	—	2	1	no	—
1088	#121	—	5	1	no	—
1089	#121	—	5	1	no	—
1090	#121	—	5	1	no	—
1091	#121	—	5	1	no	—
1092	#121	—	5	1	no	—
1093	#121	—	5	1	no	—
1094	#121	—	5	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	—	10	1	no	—
1107	#121	C₂²×D₅	1	1	yes	characteristic
1108	#121	C₂²×D₅	1	1	yes	characteristic
1109	#120	—	10	1	no	—
1110	#120	—	10	1	no	—
1111	C₄×Q₈	—	5	1	no	—
1112	C₄×Q₈	—	5	1	no	—
1113	C₄×Q₈	—	5	1	no	—
1114	C₄×Q₈	—	5	1	no	—
1115	C₄×Q₈	—	5	1	no	—
1116	C₄×Q₈	—	10	1	no	—
1117	C₄×Q₈	—	10	1	no	—
1118	C₄×Q₈	—	10	1	no	—
1119	C₄×D₄	—	2	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	—	5	1	no	—
1130	C₄×D₄	—	5	1	no	—
1131	C₄×D₄	—	5	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	C₂²×D₅	1	1	yes	characteristic
1143	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1144	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
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	—	10	1	no	—
1153	#117	—	10	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	C₂²×D₅	1	1	yes	characteristic
1161	C₂×C₄⋊C₄	—	2	1	no	—
1162	C₂×C₄⋊C₄	—	5	1	no	—
1163	C₂×C₄⋊C₄	—	5	1	no	—
1164	C₂×C₄⋊C₄	—	10	1	no	—
1165	C₂×C₄⋊C₄	—	10	1	no	—
1166	C₂×C₄⋊C₄	—	10	1	no	—
1167	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1168	C₂×C₂²⋊C₄	—	10	1	no	—
1169	C₂×C₂²⋊C₄	—	10	1	no	—
1170	C₂×C₂²⋊C₄	—	10	1	no	—
1171	C₂×C₂²⋊C₄	—	10	1	no	—
1172	C₂×C₄²	—	5	1	no	—
1173	C₂×C₄²	—	10	1	no	—
1174	#107	—	5	1	no	—
1175	#107	—	5	1	no	—
1176	#107	—	5	1	no	—
1177	#107	—	5	1	no	—
1178	#107	—	5	1	no	—
1179	#107	—	5	1	no	—
1180	#107	—	5	1	no	—
1181	#107	—	5	1	no	—
1182	#107	—	5	1	no	—
1183	#107	—	5	1	no	—
1184	#107	—	5	1	no	—
1185	#107	C₂²×D₅	1	1	yes	characteristic
1186	#106	—	5	1	no	—
1187	#106	—	5	1	no	—
1188	#106	—	5	1	no	—
1189	#106	—	5	1	no	—
1190	#106	—	5	1	no	—
1191	#106	—	5	1	no	—
1192	#106	—	5	1	no	—
1193	#106	—	5	1	no	—
1194	#106	—	5	1	no	—
1195	#106	—	5	1	no	—
1196	#106	C₂²×D₅	1	1	yes	characteristic
1197	#106	C₂²×D₅	1	1	yes	characteristic
1198	C₄⋊C₈	—	5	1	no	—
1199	C₄⋊C₈	—	5	1	no	—
1200	C₄⋊C₈	—	5	1	no	—
1201	C₄⋊C₈	—	5	1	no	—
1202	C₄⋊C₈	—	5	1	no	—
1203	C₄⋊C₈	—	5	1	no	—
1204	C₄⋊C₈	—	5	1	no	—
1205	C₄⋊C₈	—	5	1	no	—
1206	C₄⋊C₈	—	5	1	no	—
1207	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1208	#103	—	5	1	no	—
1209	#103	—	5	1	no	—
1210	#103	—	5	1	no	—
1211	#103	—	5	1	no	—
1212	#103	—	5	1	no	—
1213	#103	—	5	1	no	—
1214	#103	C₂²×D₅	1	1	yes	characteristic
1215	#103	C₂²×D₅	1	1	yes	characteristic
1216	#103	C₂²×D₅	1	1	yes	characteristic
1217	#103	C₂²×D₅	1	1	yes	characteristic
1218	#103	C₂²×D₅	1	1	yes	characteristic
1219	#103	C₂²×D₅	1	1	yes	characteristic
1220	#102	—	5	1	no	—
1221	#102	—	5	1	no	—
1222	#102	—	5	1	no	—
1223	#102	—	5	1	no	—
1224	#102	—	5	1	no	—
1225	#102	—	5	1	no	—
1226	#102	—	5	1	no	—
1227	#102	—	5	1	no	—
1228	#102	—	5	1	no	—
1229	#102	—	5	1	no	—
1230	#102	—	5	1	no	—
1231	#102	—	5	1	no	—
1232	#102	—	5	1	no	—
1233	#102	—	5	1	no	—
1234	#102	—	5	1	no	—
1235	#102	—	5	1	no	—
1236	#102	C₂²×D₅	1	1	yes	characteristic
1237	#102	C₂²×D₅	1	1	yes	characteristic
1238	#102	C₂²×D₅	1	1	yes	characteristic
1239	#102	C₂²×D₅	1	1	yes	characteristic
1240	C₂²⋊C₈	—	5	1	no	—
1241	C₂²⋊C₈	—	5	1	no	—
1242	C₂²⋊C₈	—	5	1	no	—
1243	C₂²⋊C₈	—	5	1	no	—
1244	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1245	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1246	#97	—	5	1	no	—
1247	#97	—	5	1	no	—
1248	#97	—	5	1	no	—
1249	#97	C₂²×D₅	1	1	yes	characteristic
1250	C₄×C₈	—	5	1	no	—
1251	C₄×C₈	—	5	1	no	—
1252	C₂²×C₅	—	2	1	no	—
1253	C₂²×C₅	—	2	1	no	—
1254	C₂²×C₅	—	2	1	no	—
1255	C₂²×C₅	—	2	1	no	—
1256	C₂²×C₅	—	2	2	no	—
1257	C₂²×C₅	—	2	1	no	—
1258	C₂²×C₅	—	2	1	no	—
1259	C₂²×C₅	—	4	1	no	—
1260	C₂²×C₅	—	4	1	no	—
1261	C₂²×C₅	—	4	1	no	—
1262	C₂²×C₅	—	4	1	no	—
1263	C₂²×C₅	—	4	1	no	—
1264	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1265	C₂×D₅	—	2	1	no	—
1266	C₂×D₅	—	2	1	no	—
1267	C₂×D₅	—	2	1	no	—
1268	C₂×D₅	—	4	1	no	—
1269	C₂×D₅	—	4	1	no	—
1270	C₂×D₅	—	4	1	no	—
1271	C₂×D₅	—	4	1	no	—
1272	C₂×D₅	—	4	1	no	—
1273	C₂×D₅	—	4	1	no	—
1274	C₂×D₅	—	16	2	no	—
1275	C₄×C₅	—	2	1	no	—
1276	C₄×C₅	—	2	1	no	—
1277	C₄×C₅	—	2	1	no	—
1278	C₄×C₅	—	2	1	no	—
1279	C₄×C₅	—	4	1	no	—
1280	C₄×C₅	—	4	1	no	—
1281	C₄×C₅	—	4	1	no	—
1282	C₄×C₅	—	4	1	no	—
1283	C₄×C₅	—	4	1	no	—
1284	C₄×C₅	—	4	1	no	—
1285	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1286	C₄×C₅	#585	1	1	yes	characteristic
1287	Dic₅	—	2	1	no	—
1288	Dic₅	—	2	1	no	—
1289	Dic₅	—	2	1	no	—
1290	Dic₅	—	2	1	no	—
1291	Dic₅	—	2	1	no	—
1292	Dic₅	—	2	1	no	—
1293	Dic₅	—	2	1	no	—
1294	Dic₅	—	4	1	no	—
1295	Dic₅	—	4	1	no	—
1296	Dic₅	—	4	1	no	—
1297	Dic₅	—	4	1	no	—
1298	Dic₅	—	4	1	no	—
1299	Dic₅	—	4	1	no	—
1300	C₂⁴	—	10	1	no	—
1301	#41	—	2	2	no	—
1302	#41	—	2	2	no	—
1303	#41	—	4	1	no	—
1304	#41	—	4	1	no	—
1305	#41	—	40	2	no	—
1306	#41	—	40	2	no	—
1307	C₂×Q₈	—	5	1	no	—
1308	C₂×Q₈	—	10	1	no	—
1309	C₂×Q₈	—	10	1	no	—
1310	C₂×Q₈	—	10	1	no	—
1311	C₂×Q₈	—	10	1	no	—
1312	C₂×Q₈	—	10	1	no	—
1313	C₂×Q₈	—	10	1	no	—
1314	C₂×Q₈	—	40	2	no	—
1315	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1316	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1317	C₂×D₄	—	2	1	no	—
1318	C₂×D₄	—	2	1	no	—
1319	C₂×D₄	—	2	1	no	—
1320	C₂×D₄	—	2	1	no	—
1321	C₂×D₄	—	5	1	no	—
1322	C₂×D₄	—	5	1	no	—
1323	C₂×D₄	—	5	1	no	—
1324	C₂×D₄	—	5	1	no	—
1325	C₂×D₄	—	10	1	no	—
1326	C₂×D₄	—	10	1	no	—
1327	C₂×D₄	—	10	1	no	—
1328	C₂×D₄	—	10	1	no	—
1329	C₂×D₄	—	10	2	no	—
1330	C₂×D₄	—	10	1	no	—
1331	C₂×D₄	—	10	1	no	—
1332	C₂×D₄	—	10	1	no	—
1333	C₂×D₄	—	10	1	no	—
1334	C₂×D₄	—	10	1	no	—
1335	C₂×D₄	—	20	1	no	—
1336	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1337	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1338	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1339	C₂²×C₄	—	2	1	no	—
1340	C₂²×C₄	—	2	1	no	—
1341	C₂²×C₄	—	2	1	no	—
1342	C₂²×C₄	—	2	1	no	—
1343	C₂²×C₄	—	2	1	no	—
1344	C₂²×C₄	—	5	1	no	—
1345	C₂²×C₄	—	5	1	no	—
1346	C₂²×C₄	—	5	1	no	—
1347	C₂²×C₄	—	10	1	no	—
1348	C₂²×C₄	—	10	1	no	—
1349	C₂²×C₄	—	10	1	no	—
1350	C₂²×C₄	—	10	1	no	—
1351	C₂²×C₄	—	10	1	no	—
1352	C₂²×C₄	—	10	1	no	—
1353	C₂²×C₄	—	10	1	no	—
1354	C₂²×C₄	—	10	1	no	—
1355	C₂²×C₄	—	10	1	no	—
1356	C₂²×C₄	—	10	1	no	—
1357	C₂²×C₄	—	10	1	no	—
1358	C₂²×C₄	—	10	1	no	—
1359	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1360	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1361	SD₁₆	—	4	1	no	—
1362	SD₁₆	—	4	1	no	—
1363	SD₁₆	—	20	1	no	—
1364	SD₁₆	—	20	1	no	—
1365	D₈	—	2	2	no	—
1366	D₈	—	10	2	no	—
1367	D₈	—	20	1	no	—
1368	D₈	—	20	1	no	—
1369	M₁₆	—	4	1	no	—
1370	M₁₆	—	20	1	no	—
1371	C₂×C₈	—	4	1	no	—
1372	C₂×C₈	—	5	1	no	—
1373	C₂×C₈	—	5	1	no	—
1374	C₂×C₈	—	5	1	no	—
1375	C₂×C₈	—	5	1	no	—
1376	C₂×C₈	—	20	1	no	—
1377	C₂×C₈	—	20	1	no	—
1378	C₂×C₈	—	20	1	no	—
1379	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1380	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1381	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1382	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1383	C₄⋊C₄	—	2	1	no	—
1384	C₄⋊C₄	—	2	1	no	—
1385	C₄⋊C₄	—	2	1	no	—
1386	C₄⋊C₄	—	2	1	no	—
1387	C₄⋊C₄	—	2	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	5	1	no	—
1391	C₄⋊C₄	—	5	1	no	—
1392	C₄⋊C₄	—	5	1	no	—
1393	C₄⋊C₄	—	5	1	no	—
1394	C₄⋊C₄	—	5	1	no	—
1395	C₄⋊C₄	—	5	1	no	—
1396	C₄⋊C₄	—	5	1	no	—
1397	C₄⋊C₄	—	5	1	no	—
1398	C₄⋊C₄	—	5	1	no	—
1399	C₄⋊C₄	—	5	1	no	—
1400	C₄⋊C₄	—	5	1	no	—
1401	C₄⋊C₄	—	5	1	no	—
1402	C₄⋊C₄	—	5	1	no	—
1403	C₄⋊C₄	—	5	1	no	—
1404	C₄⋊C₄	—	5	1	no	—
1405	C₄⋊C₄	—	10	1	no	—
1406	C₄⋊C₄	—	10	1	no	—
1407	C₄⋊C₄	—	10	1	no	—
1408	C₄⋊C₄	—	10	1	no	—
1409	C₄⋊C₄	—	10	1	no	—
1410	C₄⋊C₄	—	10	1	no	—
1411	C₄⋊C₄	—	10	1	no	—
1412	C₄⋊C₄	—	10	1	no	—
1413	C₄⋊C₄	—	10	1	no	—
1414	C₄⋊C₄	—	10	1	no	—
1415	C₄⋊C₄	—	10	1	no	—
1416	C₄⋊C₄	—	10	1	no	—
1417	C₄⋊C₄	—	10	1	no	—
1418	C₄⋊C₄	—	10	1	no	—
1419	C₄⋊C₄	—	10	1	no	—
1420	C₄⋊C₄	—	10	1	no	—
1421	C₄⋊C₄	—	10	1	no	—
1422	C₄⋊C₄	—	10	1	no	—
1423	C₄⋊C₄	—	10	1	no	—
1424	C₄⋊C₄	—	10	1	no	—
1425	C₄⋊C₄	—	10	1	no	—
1426	C₄⋊C₄	—	10	1	no	—
1427	C₄⋊C₄	—	10	1	no	—
1428	C₄⋊C₄	—	10	1	no	—
1429	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1430	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1431	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1432	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1433	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1434	C₂²⋊C₄	—	2	1	no	—
1435	C₂²⋊C₄	—	2	1	no	—
1436	C₂²⋊C₄	—	2	1	no	—
1437	C₂²⋊C₄	—	2	1	no	—
1438	C₂²⋊C₄	—	2	1	no	—
1439	C₂²⋊C₄	—	2	1	no	—
1440	C₂²⋊C₄	—	2	1	no	—
1441	C₂²⋊C₄	—	5	1	no	—
1442	C₂²⋊C₄	—	5	1	no	—
1443	C₂²⋊C₄	—	5	1	no	—
1444	C₂²⋊C₄	—	5	1	no	—
1445	C₂²⋊C₄	—	5	1	no	—
1446	C₂²⋊C₄	—	5	1	no	—
1447	C₂²⋊C₄	—	5	1	no	—
1448	C₂²⋊C₄	—	5	1	no	—
1449	C₂²⋊C₄	—	10	1	no	—
1450	C₂²⋊C₄	—	10	1	no	—
1451	C₂²⋊C₄	—	10	1	no	—
1452	C₂²⋊C₄	—	10	1	no	—
1453	C₂²⋊C₄	—	10	1	no	—
1454	C₂²⋊C₄	—	10	1	no	—
1455	C₂²⋊C₄	—	10	1	no	—
1456	C₂²⋊C₄	—	10	1	no	—
1457	C₂²⋊C₄	—	10	1	no	—
1458	C₂²⋊C₄	—	10	1	no	—
1459	C₂²⋊C₄	—	10	1	no	—
1460	C₂²⋊C₄	—	10	1	no	—
1461	C₂²⋊C₄	—	10	1	no	—
1462	C₂²⋊C₄	—	10	1	no	—
1463	C₂²⋊C₄	—	10	1	no	—
1464	C₂²⋊C₄	—	10	1	no	—
1465	C₂²⋊C₄	—	10	1	no	—
1466	C₂²⋊C₄	—	10	1	no	—
1467	C₂²⋊C₄	—	10	1	no	—
1468	C₂²⋊C₄	—	10	1	no	—
1469	C₂²⋊C₄	—	10	1	no	—
1470	C₂²⋊C₄	—	10	1	no	—
1471	C₂²⋊C₄	—	10	1	no	—
1472	C₂²⋊C₄	—	10	1	no	—
1473	C₂²⋊C₄	—	10	1	no	—
1474	C₂²⋊C₄	—	10	1	no	—
1475	C₂²⋊C₄	—	10	1	no	—
1476	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1477	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1478	C₄²	—	2	1	no	—
1479	C₄²	—	5	1	no	—
1480	C₄²	—	5	1	no	—
1481	C₄²	—	5	1	no	—
1482	C₄²	—	5	1	no	—
1483	C₄²	—	5	1	no	—
1484	C₄²	—	10	1	no	—
1485	C₄²	—	10	1	no	—
1486	C₄²	—	10	1	no	—
1487	C₄²	—	10	1	no	—
1488	C₄²	—	10	1	no	—
1489	C₄²	—	10	1	no	—
1490	C₄²	—	10	1	no	—
1491	C₄²	—	10	1	no	—
1492	C₄²	—	10	1	no	—
1493	C₄²	C₂³×D₅	1	1	yes	characteristic
1494	C₂×C₅	—	4	2	no	—
1495	C₂×C₅	—	4	1	no	—
1496	C₂×C₅	—	4	1	no	—
1497	C₂×C₅	—	8	1	no	—
1498	C₂×C₅	#3489	1	1	yes	characteristic
1499	C₂×C₅	#3584	1	1	yes	characteristic
1500	C₂×C₅	#3585	1	1	yes	characteristic
1501	D₅	—	4	1	no	—
1502	D₅	—	8	1	no	—
1503	D₅	—	8	1	no	—
1504	C₂³	—	2	1	no	—
1505	C₂³	—	2	1	no	—
1506	C₂³	—	5	1	no	—
1507	C₂³	—	10	1	no	—
1508	C₂³	—	10	1	no	—
1509	C₂³	—	20	2	no	—
1510	C₂³	—	40	1	no	—
1511	C₂³	—	40	1	no	—
1512	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1513	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1514	Q₈	—	2	1	no	—
1515	Q₈	—	2	1	no	—
1516	Q₈	—	2	1	no	—
1517	Q₈	—	2	1	no	—
1518	Q₈	—	20	1	no	—
1519	Q₈	—	20	2	no	—
1520	Q₈	—	40	1	no	—
1521	Q₈	—	40	1	no	—
1522	Q₈	—	40	1	no	—
1523	Q₈	—	40	1	no	—
1524	Q₈	—	40	1	no	—
1525	D₄	—	2	1	no	—
1526	D₄	—	2	1	no	—
1527	D₄	—	2	1	no	—
1528	D₄	—	4	1	no	—
1529	D₄	—	4	2	no	—
1530	D₄	—	4	2	no	—
1531	D₄	—	8	1	no	—
1532	D₄	—	8	1	no	—
1533	D₄	—	10	1	no	—
1534	D₄	—	10	1	no	—
1535	D₄	—	10	1	no	—
1536	D₄	—	10	1	no	—
1537	D₄	—	20	1	no	—
1538	D₄	—	20	1	no	—
1539	D₄	—	20	2	no	—
1540	D₄	—	40	1	no	—
1541	D₄	—	40	1	no	—
1542	D₄	—	40	1	no	—
1543	D₄	—	40	1	no	—
1544	D₄	—	40	1	no	—
1545	D₄	—	40	1	no	—
1546	D₄	—	40	1	no	—
1547	D₄	—	40	1	no	—
1548	D₄	#4150	1	2	yes	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	4	2	no	—
1560	C₂×C₄	—	4	2	no	—
1561	C₂×C₄	—	5	1	no	—
1562	C₂×C₄	—	5	1	no	—
1563	C₂×C₄	—	5	1	no	—
1564	C₂×C₄	—	5	1	no	—
1565	C₂×C₄	—	5	1	no	—
1566	C₂×C₄	—	5	1	no	—
1567	C₂×C₄	—	5	1	no	—
1568	C₂×C₄	—	8	1	no	—
1569	C₂×C₄	—	8	1	no	—
1570	C₂×C₄	—	8	1	no	—
1571	C₂×C₄	—	10	1	no	—
1572	C₂×C₄	—	10	1	no	—
1573	C₂×C₄	—	10	1	no	—
1574	C₂×C₄	—	10	1	no	—
1575	C₂×C₄	—	10	1	no	—
1576	C₂×C₄	—	10	1	no	—
1577	C₂×C₄	—	10	1	no	—
1578	C₂×C₄	—	10	1	no	—
1579	C₂×C₄	—	20	2	no	—
1580	C₂×C₄	—	20	1	no	—
1581	C₂×C₄	—	20	1	no	—
1582	C₂×C₄	—	20	2	no	—
1583	C₂×C₄	—	40	1	no	—
1584	C₂×C₄	—	40	1	no	—
1585	C₂×C₄	—	40	1	no	—
1586	C₂×C₄	—	40	1	no	—
1587	C₂×C₄	—	40	1	no	—
1588	C₂×C₄	—	40	1	no	—
1589	C₂×C₄	—	40	1	no	—
1590	C₂×C₄	—	40	1	no	—
1591	C₂×C₄	—	40	1	no	—
1592	C₂×C₄	—	40	1	no	—
1593	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1594	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1595	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1596	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1597	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1598	C₈	—	2	1	no	—
1599	C₈	—	2	1	no	—
1600	C₈	—	2	1	no	—
1601	C₈	—	2	1	no	—
1602	C₈	—	10	1	no	—
1603	C₈	—	10	1	no	—
1604	C₈	—	10	1	no	—
1605	C₈	—	10	1	no	—
1606	C₅	#62171	1	1	yes	characteristic, complemented, Sylow
1607	C₂²	—	2	1	no	—
1608	C₂²	—	2	1	no	—
1609	C₂²	—	2	2	no	—
1610	C₂²	—	2	1	no	—
1611	C₂²	—	2	1	no	—
1612	C₂²	—	2	1	no	—
1613	C₂²	—	2	1	no	—
1614	C₂²	—	4	1	no	—
1615	C₂²	—	4	1	no	—
1616	C₂²	—	4	1	no	—
1617	C₂²	—	4	1	no	—
1618	C₂²	—	4	1	no	—
1619	C₂²	—	10	1	no	—
1620	C₂²	—	10	1	no	—
1621	C₂²	—	10	1	no	—
1622	C₂²	—	20	1	no	—
1623	C₂²	—	20	1	no	—
1624	C₂²	—	20	1	no	—
1625	C₂²	—	20	1	no	—
1626	C₂²	—	20	1	no	—
1627	C₂²	—	20	1	no	—
1628	C₂²	—	80	2	no	—
1629	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1630	C₄	—	2	1	no	—
1631	C₄	—	2	1	no	—
1632	C₄	—	2	1	no	—
1633	C₄	—	2	1	no	—
1634	C₄	—	4	1	no	—
1635	C₄	—	4	1	no	—
1636	C₄	—	4	1	no	—
1637	C₄	—	4	1	no	—
1638	C₄	—	4	1	no	—
1639	C₄	—	4	1	no	—
1640	C₄	—	10	1	no	—
1641	C₄	—	10	1	no	—
1642	C₄	—	10	1	no	—
1643	C₄	—	10	1	no	—
1644	C₄	—	10	1	no	—
1645	C₄	—	10	1	no	—
1646	C₄	—	10	1	no	—
1647	C₄	—	20	1	no	—
1648	C₄	—	20	1	no	—
1649	C₄	—	20	1	no	—
1650	C₄	—	20	1	no	—
1651	C₄	—	20	1	no	—
1652	C₄	—	20	1	no	—
1653	C₄	C₂×#4150	1	1	yes	characteristic
1654	C₄	#66285	1	1	yes	characteristic
1655	C₂	—	4	1	no	—
1656	C₂	—	4	1	no	—
1657	C₂	—	4	2	no	—
1658	C₂	—	8	1	no	—
1659	C₂	—	20	1	no	—
1660	C₂	—	40	1	no	—
1661	C₂	—	40	1	no	—
1662	C₂	#10618531	1	1	yes	characteristic
1663	C₂	#10619100	1	1	yes	characteristic
1664	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×#3307	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3307	D₅
hypocenter	C₅	#62171
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3307

Complements

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

N	H ≅ G/N	type
1. #10618797	C₂	semidirect
2. #10618588	C₂	semidirect
3. C₅×#3307	C₂	semidirect
4. #10615338	C₂	semidirect
5. #10615242	C₂	semidirect
6. #10613478	C₂	semidirect
7. #10613465	C₂	semidirect
8. #10613263	C₂	semidirect
9. #10613234	C₂	semidirect
10. #10613155	C₂	semidirect
11. #10613154	C₂	semidirect
12. #10612900	C₂	semidirect
13. #10612893	C₂	semidirect
14. #10612562	C₂	semidirect
15. #10612527	C₂	semidirect
16. #10612385	C₂	semidirect
17. #10612372	C₂	semidirect
18. #10612174	C₂	semidirect
19. #10612147	C₂	semidirect
20. #10611843	C₂	semidirect
21. #10611833	C₂	semidirect
22. #10611803	C₂	semidirect
23. #10611802	C₂	semidirect
24. #10611605	C₂	semidirect
25. #10611586	C₂	semidirect
26. #10611204	C₂	semidirect
27. #10611194	C₂	semidirect
28. #10610625	C₂	semidirect
29. #10610603	C₂	semidirect
30. #10610590	C₂	semidirect
31. #10610553	C₂	semidirect
32. C₅×#553	C₂²	semidirect
42. #66024	C₂²	semidirect
55. #65953	C₂²	semidirect
61. #65930	C₂²	semidirect
63. #65897	C₂²	semidirect
70. D₄×Dic₁₀	C₂²	semidirect
72. #65851	C₂²	semidirect
76. #65834	C₂²	semidirect
77. C₅×#491	C₂²	semidirect
78. C₅×#485	C₂²	semidirect
79. C₅×#483	C₂²	semidirect
81. C₅×#468	C₂²	semidirect
82. C₅×#465	C₂²	semidirect
83. C₅×#461	C₂²	semidirect
87. C₅×#435	C₂²	semidirect
98. #65453	C₂²	semidirect
99. #65453	C₂²	semidirect
100. #65452	C₂²	semidirect
101. #65452	C₂²	semidirect
108. #65410	C₂²	semidirect
109. #65408	C₂²	semidirect
112. #65395	C₂²	semidirect
113. C₂×#3946	C₂²	semidirect
114. #65372	C₂²	semidirect
115. #65370	C₂²	semidirect
117. #65353	C₂²	semidirect
118. #65337	C₂²	semidirect
119. #65337	C₂²	semidirect
120. #65334	C₂²	semidirect
121. #65334	C₂²	semidirect
124. #65324	C₂²	semidirect
125. #65323	C₂²	semidirect
128. D₄×#168	C₂²	semidirect
129. #65298	C₂²	semidirect
132. #65287	C₂²	semidirect
134. C₂×#3939	C₂²	semidirect
136. #65179	C₂²	semidirect
138. #65165	C₂²	semidirect
140. #65160	C₂²	semidirect
144. #65145	C₂²	semidirect
145. #65145	C₂²	semidirect
146. #65144	C₂²	semidirect
147. #65136	C₂²	semidirect
150. #65120	C₂²	semidirect
153. #65106	C₂²	semidirect
161. #65088	C₂²	semidirect
162. #65088	C₂²	semidirect
163. #65088	C₂²	semidirect
164. #65085	C₂²	semidirect
165. #65085	C₂²	semidirect
169. #65083	C₂²	semidirect
170. #65083	C₂²	semidirect
171. #65083	C₂²	semidirect
172. #65080	C₂²	semidirect
173. #65080	C₂²	semidirect
174. #65077	C₂²	semidirect
183. #65055	C₂²	semidirect
187. #65050	C₂²	semidirect
193. #65026	C₂²	semidirect
194. #65025	C₂²	semidirect
197. #65009	C₂²	semidirect
198. #65008	C₂²	semidirect
201. #64991	C₂²	semidirect
202. #64990	C₂²	semidirect
493. #3307	D₅	semidirect
716. #553	C₂×D₅	semidirect
755. #491	C₂×D₅	semidirect
765. #485	C₂×D₅	semidirect
768. #483	C₂×D₅	semidirect
812. #468	C₂×D₅	semidirect
820. #465	C₂×D₅	semidirect
826. #461	C₂×D₅	semidirect
854. #435	C₂×D₅	semidirect
1606. C₅	#62171	semidirect

Maximal subgroups

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

subgroup	index
#10618797	2
#10618588	2
C₅×#3307	2
#10615338	2
#10615242	2
#10613478	2
#10613465	2
#10613263	2
#10613234	2
#10613155	2
#10613154	2
#10612900	2
#10612893	2
#10612562	2
#10612527	2
#10612385	2
#10612372	2
#10612174	2
#10612147	2
#10611843	2
#10611833	2
#10611803	2
#10611802	2
#10611605	2
#10611586	2
#10611204	2
#10611194	2
#10610625	2
#10610603	2
#10610590	2
#10610553	2
#62171	5