Subgroups — #12969192

Order 1280.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618424	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618396	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3178	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615190	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615176	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613704	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613692	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613600	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613593	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613368	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613361	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613329	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613325	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612634	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612622	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612535	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612520	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612489	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612475	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612387	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612368	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611559	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611556	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611503	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611501	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611460	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#4065	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611400	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#4062	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610309	C₂	1	1	yes	maximal, characteristic, complemented
31	D₅×#405	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#542	C₂²	1	1	yes	characteristic
33	C₅×#541	C₂²	1	1	yes	characteristic
34	C₂×#4065	C₂²	1	1	yes	characteristic
35	C₂×#4065	C₂²	1	1	yes	characteristic
36	C₂×#4062	C₂²	1	1	yes	characteristic
37	C₂×#4062	C₂²	1	1	yes	characteristic
38	C₂×D₅×M₁₆	C₂²	1	1	yes	characteristic
39	C₂²×C₈×D₅	C₂²	1	1	yes	characteristic
40	#66067	C₂²	1	1	yes	characteristic
41	#66065	C₂²	1	1	yes	characteristic
42	#66062	C₂²	1	1	yes	characteristic
43	#66059	C₂²	1	1	yes	characteristic
44	#66041	—	2	1	no	—
45	#66040	—	2	1	no	—
46	#66040	—	2	1	no	—
47	#66040	—	2	1	no	—
48	#66038	—	2	1	no	—
49	#66038	—	2	1	no	—
50	#66032	C₂²	1	1	yes	characteristic
51	#66026	—	2	1	no	—
52	#66026	—	2	1	no	—
53	#66025	—	2	1	no	—
54	#66025	—	2	1	no	—
55	#66022	C₂²	1	1	yes	characteristic
56	#66016	C₂²	1	1	yes	characteristic
57	#66014	—	2	1	no	—
58	#66012	—	2	1	no	—
59	#66002	C₂²	1	1	yes	characteristic
60	#65991	—	2	1	no	—
61	#65983	—	2	1	no	—
62	#65977	C₂²	1	1	yes	characteristic
63	#65977	C₂²	1	1	yes	characteristic
64	#65972	—	2	1	no	—
65	#65961	C₂²	1	1	yes	characteristic
66	#65961	C₂²	1	1	yes	characteristic
67	#65961	C₂²	1	1	yes	characteristic
68	#65959	C₂²	1	1	yes	characteristic
69	#65958	—	2	1	no	—
70	#65953	C₂²	1	1	yes	characteristic
71	#65940	C₂²	1	1	yes	characteristic
72	#65917	C₂²	1	1	yes	characteristic
73	#65916	C₂²	1	1	yes	characteristic
74	#65916	C₂²	1	1	yes	characteristic
75	C₄×#713	C₂²	1	1	yes	characteristic
76	C₄×#713	C₂²	1	1	yes	characteristic
77	C₄×#713	C₂²	1	1	yes	characteristic
78	#65896	C₂²	1	1	yes	characteristic
79	C₄×#711	C₂²	1	1	yes	characteristic
80	#65869	C₂²	1	1	yes	characteristic
81	#65868	C₂²	1	1	yes	characteristic
82	D₅×#117	C₂²	1	1	yes	characteristic
83	C₅×#501	C₂²	1	1	yes	characteristic, complemented
84	C₅×#497	C₂²	1	1	yes	characteristic, complemented
85	C₅×#488	C₂²	1	1	yes	characteristic, complemented
86	C₅×#487	C₂²	1	1	yes	characteristic, complemented
87	C₅×#470	C₂²	1	1	yes	characteristic
88	C₅×#468	C₂²	1	1	yes	characteristic
89	C₅×#467	C₂²	1	1	yes	characteristic
90	C₅×#465	C₂²	1	1	yes	characteristic
91	C₅×#441	C₂²	1	1	yes	characteristic, complemented
92	C₅×#440	C₂²	1	1	yes	characteristic, complemented
93	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
94	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
95	C₅×#405	C₂²	1	1	yes	characteristic
96	#65479	C₂²	1	1	yes	characteristic, complemented
97	#65479	C₂²	1	1	yes	characteristic, complemented
98	#65478	C₂²	1	1	yes	characteristic
99	#65477	C₂²	1	1	yes	characteristic
100	#65473	C₂²	1	1	yes	characteristic, complemented
101	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
102	#65465	C₂²	1	1	yes	characteristic, complemented
103	#65465	C₂²	1	1	yes	characteristic, complemented
104	#65463	C₂²	1	1	yes	characteristic
105	#65460	C₂²	1	1	yes	characteristic
106	#65453	C₂²	1	1	yes	characteristic, complemented
107	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
108	#65424	C₂²	1	1	yes	characteristic
109	#65423	C₂²	1	1	yes	characteristic
110	#65411	C₂²	1	1	yes	characteristic
111	#65404	C₂²	1	1	yes	characteristic
112	#65403	C₂²	1	1	yes	characteristic
113	#65390	C₂²	1	1	yes	characteristic
114	#65377	C₂²	1	1	yes	characteristic, complemented
115	#65375	C₂²	1	1	yes	characteristic, complemented
116	#65370	C₂²	1	1	yes	characteristic, complemented
117	#65369	C₂²	1	1	yes	characteristic, complemented
118	#65357	C₂²	1	1	yes	characteristic, complemented
119	#65354	C₂²	1	1	yes	characteristic, complemented
120	#65347	C₂²	1	1	yes	characteristic, complemented
121	#65345	C₂²	1	1	yes	characteristic, complemented
122	#65341	C₂²	1	1	yes	characteristic
123	#65340	C₂²	1	1	yes	characteristic
124	#65338	C₂²	1	1	yes	characteristic
125	#65338	C₂²	1	1	yes	characteristic
126	#65337	C₂²	1	1	yes	characteristic
127	#65337	C₂²	1	1	yes	characteristic
128	#65328	C₂²	1	1	yes	characteristic
129	#65327	C₂²	1	1	yes	characteristic
130	#65319	C₂²	1	1	yes	characteristic, complemented
131	C₄×#689	C₂²	1	1	yes	characteristic, complemented
132	#65315	C₂²	1	1	yes	characteristic, complemented
133	#65315	C₂²	1	1	yes	characteristic, complemented
134	C₄×#688	C₂²	1	1	yes	characteristic, complemented
135	C₄×#688	C₂²	1	1	yes	characteristic, complemented
136	#65303	C₂²	1	1	yes	characteristic, complemented
137	C₄×#686	C₂²	1	1	yes	characteristic, complemented
138	#65286	C₂²	1	1	yes	characteristic
139	#65178	C₂²	1	1	yes	characteristic, complemented
140	#65175	C₂²	1	1	yes	characteristic
141	#65172	C₂²	1	1	yes	characteristic
142	#65169	C₂²	1	1	yes	characteristic
143	#65169	C₂²	1	1	yes	characteristic
144	#65165	C₂²	1	1	yes	characteristic, complemented
145	#65165	C₂²	1	1	yes	characteristic, complemented
146	#65161	C₂²	1	1	yes	characteristic, complemented
147	#65158	C₂²	1	1	yes	characteristic, complemented
148	#65154	C₂²	1	1	yes	characteristic
149	#65153	C₂²	1	1	yes	characteristic
150	#65149	C₂²	1	1	yes	characteristic
151	#65149	C₂²	1	1	yes	characteristic
152	#65145	C₂²	1	1	yes	characteristic, complemented
153	#65145	C₂²	1	1	yes	characteristic, complemented
154	#65141	C₂²	1	1	yes	characteristic, complemented
155	#65106	C₂²	1	1	yes	characteristic, complemented
156	#65106	C₂²	1	1	yes	characteristic, complemented
157	#65105	C₂²	1	1	yes	characteristic
158	#65102	C₂²	1	1	yes	characteristic
159	#65101	C₂²	1	1	yes	characteristic
160	#65101	C₂²	1	1	yes	characteristic
161	#65096	C₂²	1	1	yes	characteristic
162	#65096	C₂²	1	1	yes	characteristic
163	#65093	C₂²	1	1	yes	characteristic
164	#65093	C₂²	1	1	yes	characteristic
165	#65093	C₂²	1	1	yes	characteristic
166	#65093	C₂²	1	1	yes	characteristic
167	#65093	C₂²	1	1	yes	characteristic
168	#65093	C₂²	1	1	yes	characteristic
169	#65089	C₂²	1	1	yes	characteristic, complemented
170	#65089	C₂²	1	1	yes	characteristic, complemented
171	#65089	C₂²	1	1	yes	characteristic, complemented
172	#65089	C₂²	1	1	yes	characteristic, complemented
173	#65081	C₂²	1	1	yes	characteristic, complemented
174	#65081	C₂²	1	1	yes	characteristic, complemented
175	#65079	C₂²	1	1	yes	characteristic, complemented
176	#65078	C₂²	1	1	yes	characteristic, complemented
177	#65077	C₂²	1	1	yes	characteristic, complemented
178	#65077	C₂²	1	1	yes	characteristic, complemented
179	#65074	C₂²	1	1	yes	characteristic, complemented
180	#65071	C₂²	1	1	yes	characteristic
181	#65064	C₂²	1	1	yes	characteristic
182	#65061	C₂²	1	1	yes	characteristic
183	#65061	C₂²	1	1	yes	characteristic
184	#65049	C₂²	1	1	yes	characteristic, complemented
185	#65049	C₂²	1	1	yes	characteristic, complemented
186	#65045	C₂²	1	1	yes	characteristic, complemented
187	#65001	C₂²	1	1	yes	characteristic, complemented
188	#65000	C₂²	1	1	yes	characteristic, complemented
189	#64999	C₂²	1	1	yes	characteristic, complemented
190	#64997	C₂²	1	1	yes	characteristic
191	#64997	C₂²	1	1	yes	characteristic
192	D₅×#97	C₂²	1	1	yes	characteristic
193	D₅×#97	C₂²	1	1	yes	characteristic
194	#64991	C₂²	1	1	yes	characteristic, complemented
195	#64986	C₂²	1	1	yes	characteristic, complemented
196	#64983	C₂²	1	1	yes	characteristic, complemented
197	C₄×D₄₀	C₂²	1	1	yes	characteristic, complemented
198	C₄×#677	C₂²	1	1	yes	characteristic, complemented
199	#64978	C₂²	1	1	yes	characteristic
200	#64978	C₂²	1	1	yes	characteristic
201	C₄×C₈×D₅	C₂²	1	1	yes	characteristic
202	C₄×C₈×D₅	C₂²	1	1	yes	characteristic
203	#60685	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×#713	C₂³	1	1	yes	characteristic
206	C₂×#713	C₂³	1	1	yes	characteristic
207	C₂×#711	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
209	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
210	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₅×SD₁₆	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×C₄⋊Q₈	C₂³	1	1	yes	characteristic
217	C₅×#126	—	2	1	no	—
218	C₅×#126	—	2	1	no	—
219	C₅×#126	—	2	1	no	—
220	C₅×#125	—	2	1	no	—
221	C₅×#125	—	2	1	no	—
222	C₅×#125	C₂³	1	1	yes	characteristic
223	C₅×#124	—	2	1	no	—
224	C₅×#124	C₂³	1	1	yes	characteristic
225	C₅×#123	—	2	1	no	—
226	C₅×C₂²⋊Q₈	—	2	1	no	—
227	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
228	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
229	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
230	C₅×#121	C₂³	1	1	yes	characteristic
231	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
232	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
233	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
234	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
235	C₅×#117	C₂³	1	1	yes	characteristic
236	#4093	—	2	1	no	—
237	#4093	C₂³	1	1	yes	characteristic
238	#4093	C₂³	1	1	yes	characteristic
239	#4092	—	2	1	no	—
240	#4092	—	2	1	no	—
241	#4092	C₂³	1	1	yes	characteristic
242	#4092	C₂³	1	1	yes	characteristic
243	#4092	C₂³	1	1	yes	characteristic
244	Q₈×Dic₅	—	2	1	no	—
245	Q₈×Dic₅	C₂³	1	1	yes	characteristic
246	Q₈×Dic₅	C₂³	1	1	yes	characteristic
247	Q₈×Dic₅	C₂³	1	1	yes	characteristic
248	#4090	C₂³	1	1	yes	characteristic
249	C₂×#689	C₂³	1	1	yes	characteristic
250	C₂×#689	C₂³	1	1	yes	characteristic
251	C₂×#688	C₂³	1	1	yes	characteristic
252	C₂×#688	C₂³	1	1	yes	characteristic
253	C₂×#688	C₂³	1	1	yes	characteristic
254	C₂×#688	C₂³	1	1	yes	characteristic
255	#4086	C₂³	1	1	yes	characteristic
256	#4085	—	2	1	no	—
257	#4084	—	2	1	no	—
258	#4084	C₂³	1	1	yes	characteristic
259	#4083	—	2	1	no	—
260	D₄×Dic₅	—	2	1	no	—
261	D₄×Dic₅	C₂³	1	1	yes	characteristic
262	C₂×#686	C₂³	1	1	yes	characteristic
263	C₂×#686	C₂³	1	1	yes	characteristic
264	#4076	—	2	1	no	—
265	#4076	C₂³	1	1	yes	characteristic
266	#4076	C₂³	1	1	yes	characteristic
267	#4076	C₂³	1	1	yes	characteristic
268	#4075	—	2	1	no	—
269	C₄×C₂²⋊D₅	—	2	1	no	—
270	#4072	C₂³	1	1	yes	characteristic
271	#4070	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₅	—	2	1	no	—
273	C₂×#681	C₂³	1	1	yes	characteristic
274	C₂²×#168	C₂³	1	1	yes	characteristic
275	#4065	—	2	4	no	—
276	#4065	—	2	4	no	—
277	#4062	—	2	4	no	—
278	#4062	—	2	4	no	—
279	D₅×M₁₆	—	2	4	no	—
280	C₂×D₄₀	C₂³	1	1	yes	characteristic
281	C₂×D₄₀	C₂³	1	1	yes	characteristic
282	C₂×#677	C₂³	1	1	yes	characteristic
283	C₂×#677	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	—	2	4	no	—
287	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
288	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
289	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
290	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
291	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
292	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
293	#4044	—	2	1	no	—
294	#4044	—	2	1	no	—
295	#4044	—	2	1	no	—
296	#4044	—	2	1	no	—
297	#4044	—	2	1	no	—
298	#4044	—	2	1	no	—
299	#4044	—	2	1	no	—
300	#4043	—	2	1	no	—
301	#4043	—	2	1	no	—
302	#4043	—	2	1	no	—
303	#4043	C₂³	1	1	yes	characteristic
304	#4042	—	2	1	no	—
305	#4042	—	2	1	no	—
306	#4042	—	2	1	no	—
307	#4042	—	2	1	no	—
308	#4042	—	2	1	no	—
309	#4041	—	2	1	no	—
310	#4041	—	2	1	no	—
311	#4041	—	2	1	no	—
312	#4041	—	2	1	no	—
313	#4041	C₂³	1	1	yes	characteristic
314	#4041	C₂³	1	1	yes	characteristic
315	#4041	C₂³	1	1	yes	characteristic
316	#4040	—	2	1	no	—
317	#4040	—	2	1	no	—
318	#4040	—	2	1	no	—
319	#4040	—	2	1	no	—
320	#4040	—	2	1	no	—
321	#4040	—	2	1	no	—
322	#4040	—	2	1	no	—
323	#4040	—	2	1	no	—
324	#4040	—	2	1	no	—
325	#4040	—	2	1	no	—
326	#4039	—	2	1	no	—
327	#4039	—	2	1	no	—
328	#4039	—	2	1	no	—
329	#4039	—	2	1	no	—
330	#4039	—	2	1	no	—
331	#4039	—	2	1	no	—
332	#4039	—	2	1	no	—
333	#4039	—	2	1	no	—
334	#4039	C₂³	1	1	yes	characteristic
335	#4039	C₂³	1	1	yes	characteristic
336	#4039	C₂³	1	1	yes	characteristic
337	#4038	—	2	1	no	—
338	#4038	—	2	1	no	—
339	#4038	—	2	1	no	—
340	#4038	D₄	1	1	yes	characteristic
341	#4038	D₄	1	1	yes	characteristic
342	#4038	C₂³	1	1	yes	characteristic
343	#4038	C₂³	1	1	yes	characteristic
344	#4038	C₂³	1	1	yes	characteristic
345	#4038	C₂³	1	1	yes	characteristic
346	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
347	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
348	#4036	—	2	1	no	—
349	#4036	C₂³	1	1	yes	characteristic
350	#4036	C₂³	1	1	yes	characteristic
351	#4035	—	2	1	no	—
352	#4035	—	2	1	no	—
353	#4035	—	2	1	no	—
354	#4035	—	2	1	no	—
355	#4034	C₂³	1	1	yes	characteristic
356	#4034	C₂³	1	1	yes	characteristic
357	#4033	—	2	1	no	—
358	#4033	—	2	1	no	—
359	#4033	—	2	1	no	—
360	#4033	C₂³	1	1	yes	characteristic
361	#4032	—	2	1	no	—
362	#4032	—	2	1	no	—
363	#4031	—	2	1	no	—
364	#4031	—	2	1	no	—
365	#4031	—	2	1	no	—
366	#4031	—	2	1	no	—
367	#4030	—	2	1	no	—
368	#4030	—	2	1	no	—
369	#4030	—	2	1	no	—
370	#4030	—	2	1	no	—
371	#4030	—	2	1	no	—
372	#4029	—	2	1	no	—
373	#4029	—	2	1	no	—
374	#4029	—	2	1	no	—
375	#4029	—	2	1	no	—
376	#4029	—	2	1	no	—
377	#4029	—	2	1	no	—
378	#4028	—	2	1	no	—
379	#4028	—	2	1	no	—
380	#4028	—	2	1	no	—
381	#4027	—	2	1	no	—
382	#4027	—	2	1	no	—
383	#4027	—	2	1	no	—
384	#4027	—	2	1	no	—
385	#4027	—	2	1	no	—
386	#4027	—	2	1	no	—
387	#4027	—	2	1	no	—
388	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
389	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
390	#4025	—	2	1	no	—
391	#4025	—	2	1	no	—
392	#4025	—	2	1	no	—
393	#4024	—	2	1	no	—
394	#4023	—	2	1	no	—
395	#4023	D₄	1	1	yes	characteristic
396	#4023	D₄	1	1	yes	characteristic
397	#4022	—	2	1	no	—
398	#4022	—	2	1	no	—
399	#4022	—	2	1	no	—
400	#4021	—	2	1	no	—
401	#4021	—	2	1	no	—
402	#4021	C₂³	1	1	yes	characteristic
403	#4020	C₂³	1	1	yes	characteristic
404	C₄×D₂₀	—	2	1	no	—
405	C₄×D₂₀	—	2	1	no	—
406	C₄×D₂₀	—	2	1	no	—
407	C₄×D₂₀	C₂³	1	1	yes	characteristic
408	C₄×D₂₀	C₂³	1	1	yes	characteristic
409	C₄×D₂₀	C₂³	1	1	yes	characteristic
410	#4018	C₂³	1	1	yes	characteristic
411	#4018	C₂³	1	1	yes	characteristic
412	C₄²×D₅	—	2	1	no	—
413	C₄²×D₅	—	2	1	no	—
414	C₄²×D₅	—	2	1	no	—
415	C₄²×D₅	C₂³	1	1	yes	characteristic
416	C₄²×D₅	C₂³	1	1	yes	characteristic
417	#4016	—	2	1	no	—
418	#4016	C₂³	1	1	yes	characteristic
419	#4015	C₂³	1	1	yes	characteristic
420	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
421	C₅×#107	C₂³	1	1	yes	characteristic
422	C₅×#107	C₂³	1	1	yes	characteristic
423	C₅×#106	C₂³	1	1	yes	characteristic
424	C₅×#106	C₂³	1	1	yes	characteristic
425	C₅×#103	C₂³	1	1	yes	characteristic
426	C₅×#103	C₂³	1	1	yes	characteristic
427	C₅×#103	C₂³	1	1	yes	characteristic
428	C₅×#103	C₂³	1	1	yes	characteristic
429	C₅×#103	C₂³	1	1	yes	characteristic
430	C₅×#103	C₂³	1	1	yes	characteristic
431	C₅×#102	C₂³	1	1	yes	characteristic
432	C₅×#102	C₂³	1	1	yes	characteristic
433	C₅×#97	C₂³	1	1	yes	characteristic
434	C₅×#97	C₂³	1	1	yes	characteristic
435	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
436	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
437	#3967	C₂³	1	1	yes	characteristic
438	#3967	C₂³	1	1	yes	characteristic
439	#3967	C₂³	1	1	yes	characteristic
440	#3967	C₂³	1	1	yes	characteristic
441	#3967	C₂³	1	1	yes	characteristic
442	#3967	C₂³	1	1	yes	characteristic
443	#3964	C₂³	1	1	yes	characteristic
444	#3964	C₂³	1	1	yes	characteristic
445	#3953	C₂³	1	1	yes	characteristic
446	#3953	C₂³	1	1	yes	characteristic
447	#3953	C₂³	1	1	yes	characteristic
448	#3953	C₂³	1	1	yes	characteristic
449	#3953	C₂³	1	1	yes	characteristic
450	#3953	C₂³	1	1	yes	characteristic
451	#3950	C₂³	1	1	yes	characteristic
452	#3950	C₂³	1	1	yes	characteristic
453	#3949	C₂³	1	1	yes	characteristic
454	#3949	C₂³	1	1	yes	characteristic
455	#3948	C₂³	1	1	yes	characteristic
456	#3948	C₂³	1	1	yes	characteristic
457	#3947	C₂³	1	1	yes	characteristic
458	#3947	C₂³	1	1	yes	characteristic
459	#3947	C₂³	1	1	yes	characteristic
460	#3947	C₂³	1	1	yes	characteristic
461	C₈×Dic₅	C₂³	1	1	yes	characteristic
462	C₈×Dic₅	C₂³	1	1	yes	characteristic
463	C₈×Dic₅	C₂³	1	1	yes	characteristic
464	C₈×Dic₅	C₂³	1	1	yes	characteristic
465	#3942	C₂³	1	1	yes	characteristic
466	#3942	C₂³	1	1	yes	characteristic
467	#3941	C₂³	1	1	yes	characteristic
468	#3941	C₂³	1	1	yes	characteristic
469	#3941	C₂³	1	1	yes	characteristic
470	#3941	C₂³	1	1	yes	characteristic
471	#3941	C₂³	1	1	yes	characteristic
472	#3941	C₂³	1	1	yes	characteristic
473	#3940	C₂³	1	1	yes	characteristic
474	#3940	C₂³	1	1	yes	characteristic
475	#3940	C₂³	1	1	yes	characteristic
476	#3940	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	#3939	C₂³	1	1	yes	characteristic
481	#3935	C₂³	1	1	yes	characteristic
482	#3935	C₂³	1	1	yes	characteristic
483	C₄×#168	C₂³	1	1	yes	characteristic
484	C₄×#168	C₂³	1	1	yes	characteristic
485	#3455	—	5	1	no	—
486	#3455	—	5	1	no	—
487	#3179	—	5	1	no	—
488	#3179	—	5	1	no	—
489	#3179	—	5	1	no	—
490	#3179	—	5	1	no	—
491	#3179	—	5	1	no	—
492	#3179	—	5	1	no	—
493	#3179	—	5	1	no	—
494	#3179	—	5	1	no	—
495	#3178	—	5	1	no	—
496	#3178	—	5	1	no	—
497	#3178	—	5	1	no	—
498	#3178	—	5	1	no	—
499	#3178	—	5	1	no	—
500	#3178	—	5	1	no	—
501	#3178	—	5	1	no	—
502	#3178	D₅	1	1	yes	characteristic, complemented
503	#3162	—	5	1	no	—
504	#3150	—	5	1	no	—
505	#3131	—	5	1	no	—
506	#3131	—	5	1	no	—
507	#3054	—	5	1	no	—
508	#3054	—	5	1	no	—
509	#3050	—	5	1	no	—
510	#3050	—	5	1	no	—
511	#2943	—	5	1	no	—
512	#2943	—	5	1	no	—
513	C₄×#135	—	5	1	no	—
514	C₄×#135	—	5	1	no	—
515	C₂×#405	—	5	1	no	—
516	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
517	C₂×C₅×Q₈	—	2	1	no	—
518	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
519	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
520	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
521	C₂×C₅×D₄	—	2	1	no	—
522	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₅	—	2	1	no	—
524	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
525	C₂×C₂²⋊D₅	—	2	1	no	—
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	C₂²×Dic₅	—	2	1	no	—
533	C₂²×Dic₅	—	2	1	no	—
534	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
535	#713	—	2	2	no	—
536	#713	—	2	2	no	—
537	#713	—	2	2	no	—
538	#713	—	2	2	no	—
539	#713	—	2	2	no	—
540	#713	—	2	2	no	—
541	#711	—	2	2	no	—
542	#711	—	2	2	no	—
543	C₂×D₂₀	—	2	1	no	—
544	C₂×D₂₀	—	2	1	no	—
545	C₂×D₂₀	—	2	1	no	—
546	C₂×D₂₀	—	2	1	no	—
547	C₂×D₂₀	—	2	1	no	—
548	C₂×D₂₀	—	2	1	no	—
549	C₂×D₂₀	—	2	1	no	—
550	C₂×D₂₀	—	2	1	no	—
551	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
552	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
553	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
554	C₂×C₄×D₅	—	2	2	no	—
555	C₂×C₄×D₅	—	2	2	no	—
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	—	2	1	no	—
563	C₂×C₄×D₅	—	2	1	no	—
564	C₂×C₄×D₅	—	2	1	no	—
565	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
566	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
567	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
568	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
569	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
570	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
571	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
572	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
573	C₂×Dic₁₀	—	2	1	no	—
574	C₂×Dic₁₀	—	2	1	no	—
575	C₂×Dic₁₀	—	2	1	no	—
576	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
577	C₅×Q₁₆	—	2	2	no	—
578	C₅×Q₁₆	—	2	2	no	—
579	C₅×SD₁₆	—	2	2	no	—
580	C₅×SD₁₆	—	2	2	no	—
581	C₅×M₁₆	—	2	2	no	—
582	C₂×C₅×C₈	—	2	2	no	—
583	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
584	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
585	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
586	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
587	C₅×C₄⋊C₄	—	2	1	no	—
588	C₅×C₄⋊C₄	—	2	1	no	—
589	C₅×C₄⋊C₄	—	2	1	no	—
590	C₅×C₄⋊C₄	—	2	1	no	—
591	C₅×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
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×C₂²⋊C₄	—	2	1	no	—
605	C₅×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
612	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
613	C₄²×C₅	—	2	1	no	—
614	C₄²×C₅	—	2	1	no	—
615	C₄²×C₅	—	2	1	no	—
616	C₄²×C₅	C₂⁴	1	1	yes	characteristic
617	C₄²×C₅	C₂⁴	1	1	yes	characteristic
618	C₂²⋊Dic₅	—	2	1	no	—
619	C₂²⋊Dic₅	—	2	1	no	—
620	C₂²⋊Dic₅	—	2	1	no	—
621	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
622	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
623	#689	—	2	2	no	—
624	#689	—	2	2	no	—
625	#688	—	2	2	no	—
626	#688	—	2	2	no	—
627	#688	—	2	2	no	—
628	#688	—	2	2	no	—
629	#686	—	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	—	2	1	no	—
655	#685	—	2	1	no	—
656	#685	—	2	1	no	—
657	#685	C₂×D₄	1	1	yes	characteristic
658	#685	C₂×D₄	1	1	yes	characteristic
659	#685	C₂×D₄	1	1	yes	characteristic
660	#685	C₂×D₄	1	1	yes	characteristic
661	C₄⋊Dic₅	—	2	1	no	—
662	C₄⋊Dic₅	—	2	1	no	—
663	C₄⋊Dic₅	—	2	1	no	—
664	C₄⋊Dic₅	—	2	1	no	—
665	C₄⋊Dic₅	—	2	1	no	—
666	C₄⋊Dic₅	—	2	1	no	—
667	C₄⋊Dic₅	—	2	1	no	—
668	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
669	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
670	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
671	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
672	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
673	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
674	#683	—	2	1	no	—
675	#683	—	2	1	no	—
676	#683	—	2	1	no	—
677	#683	—	2	1	no	—
678	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	—	2	1	no	—
684	#683	—	2	1	no	—
685	#683	—	2	1	no	—
686	#683	—	2	1	no	—
687	#683	—	2	1	no	—
688	#683	C₂×D₄	1	1	yes	characteristic
689	#683	C₂×D₄	1	1	yes	characteristic
690	#683	C₂×D₄	1	1	yes	characteristic
691	#683	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
697	C₄×Dic₅	—	2	1	no	—
698	C₄×Dic₅	—	2	1	no	—
699	C₄×Dic₅	—	2	1	no	—
700	C₄×Dic₅	—	2	1	no	—
701	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
702	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
703	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
704	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
705	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
706	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
707	#681	—	2	2	no	—
708	C₂×#168	—	2	2	no	—
709	C₂×#168	C₂⁴	1	1	yes	characteristic
710	C₂×#168	C₂⁴	1	1	yes	characteristic
711	C₂×#168	C₂⁴	1	1	yes	characteristic
712	C₂×#168	C₂⁴	1	1	yes	characteristic
713	D₄₀	—	2	2	no	—
714	D₄₀	—	2	2	no	—
715	#677	—	2	2	no	—
716	#677	—	2	2	no	—
717	#676	—	2	2	no	—
718	#676	—	2	2	no	—
719	C₈×D₅	—	2	2	no	—
720	C₈×D₅	—	2	2	no	—
721	C₈×D₅	—	2	2	no	—
722	C₈×D₅	—	2	2	no	—
723	C₈×D₅	#41	1	4	yes	—
724	C₈×D₅	#41	1	4	yes	—
725	C₂×#135	—	5	1	no	—
726	C₂×#135	—	5	1	no	—
727	C₂×#135	—	5	1	no	—
728	C₂×#135	—	5	1	no	—
729	C₂²×M₁₆	—	5	1	no	—
730	C₂³×C₈	—	5	1	no	—
731	#542	—	5	1	no	—
732	#542	—	5	1	no	—
733	#542	—	5	1	no	—
734	#542	—	5	1	no	—
735	#542	—	5	1	no	—
736	#542	—	5	1	no	—
737	#542	—	5	1	no	—
738	#542	C₂×D₅	1	1	yes	characteristic
739	#541	—	5	1	no	—
740	#541	—	5	1	no	—
741	#541	—	5	1	no	—
742	#541	C₂×D₅	1	1	yes	characteristic
743	#540	—	5	1	no	—
744	#540	—	5	1	no	—
745	#540	—	5	1	no	—
746	#540	—	5	1	no	—
747	#539	—	10	1	no	—
748	#539	—	10	1	no	—
749	#539	—	10	1	no	—
750	#539	—	10	1	no	—
751	#538	—	10	1	no	—
752	#538	—	10	1	no	—
753	#538	—	10	1	no	—
754	#538	—	10	1	no	—
755	#533	—	5	1	no	—
756	#533	—	5	1	no	—
757	#532	—	5	1	no	—
758	#532	—	5	1	no	—
759	#529	—	10	1	no	—
760	#529	—	10	1	no	—
761	#529	—	10	1	no	—
762	#529	—	10	1	no	—
763	#529	—	10	1	no	—
764	#529	—	10	1	no	—
765	#529	—	10	1	no	—
766	#529	—	10	1	no	—
767	#525	—	5	1	no	—
768	#525	—	5	1	no	—
769	#525	—	5	1	no	—
770	#525	—	5	1	no	—
771	C₄×#41	—	5	1	no	—
772	C₄×#41	—	5	1	no	—
773	C₄×#41	—	5	1	no	—
774	C₄×#41	—	5	1	no	—
775	C₂×#117	—	5	1	no	—
776	#501	—	5	1	no	—
777	#501	—	5	1	no	—
778	#501	—	5	1	no	—
779	#501	—	5	1	no	—
780	#501	—	5	1	no	—
781	#501	—	5	1	no	—
782	#501	—	5	1	no	—
783	#501	C₂×D₅	1	1	yes	characteristic, complemented
784	#497	—	5	1	no	—
785	#497	—	5	1	no	—
786	#497	—	5	1	no	—
787	#497	C₂×D₅	1	1	yes	characteristic, complemented
788	#496	—	5	1	no	—
789	#496	—	5	1	no	—
790	#496	—	5	1	no	—
791	#496	—	5	1	no	—
792	#488	—	5	1	no	—
793	#488	—	5	1	no	—
794	#488	—	5	1	no	—
795	#488	—	5	1	no	—
796	#488	—	5	1	no	—
797	#488	—	5	1	no	—
798	#488	—	5	1	no	—
799	#488	C₂×D₅	1	1	yes	characteristic, complemented
800	#487	—	5	1	no	—
801	#487	—	5	1	no	—
802	#487	—	5	1	no	—
803	#487	C₂×D₅	1	1	yes	characteristic, complemented
804	#486	—	5	1	no	—
805	#486	—	5	1	no	—
806	#486	—	5	1	no	—
807	#486	—	5	1	no	—
808	#470	—	5	1	no	—
809	#470	—	5	1	no	—
810	#470	—	5	1	no	—
811	#470	C₂×D₅	1	1	yes	characteristic
812	#469	—	5	1	no	—
813	#469	—	5	1	no	—
814	#469	—	5	1	no	—
815	#469	—	5	1	no	—
816	#468	—	5	1	no	—
817	#468	—	5	1	no	—
818	#468	—	5	1	no	—
819	#468	—	5	1	no	—
820	#468	—	5	1	no	—
821	#468	—	5	1	no	—
822	#468	—	5	1	no	—
823	#468	C₂×D₅	1	1	yes	characteristic
824	#467	—	5	1	no	—
825	#467	—	5	1	no	—
826	#467	—	5	1	no	—
827	#467	C₂×D₅	1	1	yes	characteristic
828	#466	—	5	1	no	—
829	#466	—	5	1	no	—
830	#466	—	5	1	no	—
831	#466	—	5	1	no	—
832	#465	—	5	1	no	—
833	#465	—	5	1	no	—
834	#465	—	5	1	no	—
835	#465	—	5	1	no	—
836	#465	—	5	1	no	—
837	#465	—	5	1	no	—
838	#465	—	5	1	no	—
839	#465	C₂×D₅	1	1	yes	characteristic
840	#442	—	5	1	no	—
841	#442	—	5	1	no	—
842	#442	—	5	1	no	—
843	#442	—	5	1	no	—
844	#441	—	5	1	no	—
845	#441	—	5	1	no	—
846	#441	—	5	1	no	—
847	#441	C₂×D₅	1	1	yes	characteristic, complemented
848	#440	—	5	1	no	—
849	#440	—	5	1	no	—
850	#440	—	5	1	no	—
851	#440	—	5	1	no	—
852	#440	—	5	1	no	—
853	#440	—	5	1	no	—
854	#440	—	5	1	no	—
855	#440	C₂×D₅	1	1	yes	characteristic, complemented
856	C₄×Q₁₆	—	5	1	no	—
857	C₄×Q₁₆	—	5	1	no	—
858	C₄×Q₁₆	—	5	1	no	—
859	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic, complemented
860	C₄×SD₁₆	—	5	1	no	—
861	C₄×SD₁₆	—	5	1	no	—
862	C₄×SD₁₆	—	5	1	no	—
863	C₄×SD₁₆	—	5	1	no	—
864	C₄×SD₁₆	—	5	1	no	—
865	C₄×SD₁₆	—	5	1	no	—
866	C₄×SD₁₆	—	5	1	no	—
867	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
868	C₄×D₈	—	5	1	no	—
869	C₄×D₈	—	5	1	no	—
870	C₄×D₈	—	5	1	no	—
871	C₄×D₈	—	5	1	no	—
872	#427	—	5	1	no	—
873	#427	—	5	1	no	—
874	#427	—	5	1	no	—
875	#427	—	5	1	no	—
876	#416	—	5	1	no	—
877	#416	—	5	1	no	—
878	#416	—	5	1	no	—
879	#416	—	5	1	no	—
880	#416	—	5	1	no	—
881	#416	—	5	1	no	—
882	#416	—	5	1	no	—
883	#416	—	5	1	no	—
884	#405	—	5	1	no	—
885	#405	—	5	1	no	—
886	#405	—	5	1	no	—
887	#405	—	5	1	no	—
888	#405	—	5	1	no	—
889	#405	—	5	1	no	—
890	#405	—	5	1	no	—
891	#405	C₂×D₅	1	1	yes	characteristic
892	C₂×#97	—	5	1	no	—
893	C₂×#97	—	5	1	no	—
894	C₂×C₄×C₈	—	5	1	no	—
895	C₂×C₄×C₈	—	5	1	no	—
896	C₂³×C₅	—	2	1	no	—
897	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
898	C₂²×D₅	—	2	2	no	—
899	C₂²×D₅	—	2	1	no	—
900	C₂²×D₅	—	2	1	no	—
901	C₂²×D₅	—	2	1	no	—
902	C₂²×D₅	—	4	1	no	—
903	C₂²×D₅	—	4	1	no	—
904	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
905	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
906	C₅×Q₈	—	2	1	no	—
907	C₅×Q₈	—	2	1	no	—
908	C₅×Q₈	—	2	1	no	—
909	C₅×Q₈	—	2	1	no	—
910	C₅×Q₈	—	2	1	no	—
911	C₅×Q₈	—	2	1	no	—
912	C₅×Q₈	—	8	1	no	—
913	C₅×D₄	—	2	1	no	—
914	C₅×D₄	—	2	1	no	—
915	C₅×D₄	—	8	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	—	2	1	no	—
922	C₂×C₄×C₅	—	2	1	no	—
923	C₂×C₄×C₅	—	2	1	no	—
924	C₂×C₄×C₅	—	2	1	no	—
925	C₂×C₄×C₅	—	8	1	no	—
926	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
927	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
928	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
929	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
930	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
931	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
932	C₂²⋊D₅	—	4	2	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	C₂²⋊D₅	—	8	1	no	—
938	C₂²⋊D₅	—	8	1	no	—
939	C₂×Dic₅	—	2	2	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	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
953	D₂₀	—	2	1	no	—
954	D₂₀	—	2	1	no	—
955	D₂₀	—	2	1	no	—
956	D₂₀	—	2	1	no	—
957	D₂₀	—	2	1	no	—
958	D₂₀	—	2	1	no	—
959	D₂₀	—	4	2	no	—
960	D₂₀	—	4	2	no	—
961	D₂₀	—	4	2	no	—
962	D₂₀	—	8	1	no	—
963	D₂₀	—	8	1	no	—
964	D₂₀	—	8	1	no	—
965	D₂₀	—	8	1	no	—
966	D₂₀	—	8	1	no	—
967	C₄×D₅	—	2	2	no	—
968	C₄×D₅	—	2	1	no	—
969	C₄×D₅	—	2	1	no	—
970	C₄×D₅	—	2	2	no	—
971	C₄×D₅	—	4	1	no	—
972	C₄×D₅	—	4	1	no	—
973	C₄×D₅	—	4	1	no	—
974	C₄×D₅	—	4	1	no	—
975	C₄×D₅	—	4	2	no	—
976	C₄×D₅	—	4	2	no	—
977	C₄×D₅	—	4	2	no	—
978	C₄×D₅	—	8	1	no	—
979	C₄×D₅	—	8	1	no	—
980	C₄×D₅	—	8	1	no	—
981	C₄×D₅	—	8	1	no	—
982	C₄×D₅	—	8	1	no	—
983	C₄×D₅	—	8	1	no	—
984	C₄×D₅	C₂×#41	1	2	yes	—
985	C₄×D₅	C₂×#41	1	2	yes	—
986	Dic₁₀	—	2	1	no	—
987	Dic₁₀	—	2	1	no	—
988	Dic₁₀	—	8	1	no	—
989	Dic₁₀	—	8	1	no	—
990	Dic₁₀	—	8	1	no	—
991	C₅×C₈	—	2	1	no	—
992	C₅×C₈	—	2	1	no	—
993	C₅×C₈	C₂×#41	1	2	yes	—
994	C₅×C₈	C₂×#41	1	2	yes	—
995	#168	—	2	1	no	—
996	#168	—	2	1	no	—
997	#168	C₂×#41	1	2	yes	—
998	#168	C₂×#41	1	2	yes	—
999	C₂×#41	—	5	1	no	—
1000	C₂×#41	—	5	1	no	—
1001	C₂×#41	—	5	1	no	—
1002	C₂×#41	—	5	1	no	—
1003	C₂³×C₄	—	5	1	no	—
1004	#135	—	10	4	no	—
1005	#135	—	10	4	no	—
1006	#135	—	10	4	no	—
1007	#135	—	10	4	no	—
1008	C₂×Q₁₆	—	5	1	no	—
1009	C₂×Q₁₆	—	5	1	no	—
1010	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1011	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1012	C₂×SD₁₆	—	5	1	no	—
1013	C₂×SD₁₆	—	5	1	no	—
1014	C₂×SD₁₆	—	5	1	no	—
1015	C₂×SD₁₆	—	5	1	no	—
1016	C₂×SD₁₆	—	5	1	no	—
1017	C₂×SD₁₆	—	5	1	no	—
1018	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1019	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1020	C₂×D₈	—	5	1	no	—
1021	C₂×D₈	—	5	1	no	—
1022	C₂×D₈	—	5	1	no	—
1023	C₂×D₈	—	5	1	no	—
1024	C₂×M₁₆	—	5	1	no	—
1025	C₂×M₁₆	—	5	1	no	—
1026	C₂×M₁₆	—	5	1	no	—
1027	C₂×M₁₆	—	10	4	no	—
1028	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1029	C₂²×C₈	—	5	1	no	—
1030	C₂²×C₈	—	5	1	no	—
1031	C₂²×C₈	—	5	1	no	—
1032	C₂²×C₈	—	5	1	no	—
1033	C₂²×C₈	—	5	1	no	—
1034	C₂²×C₈	—	5	1	no	—
1035	C₂²×C₈	—	5	1	no	—
1036	C₂²×C₈	—	10	4	no	—
1037	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1038	C₄⋊Q₈	—	5	1	no	—
1039	C₄⋊Q₈	—	5	1	no	—
1040	C₄⋊Q₈	—	5	1	no	—
1041	C₄⋊Q₈	—	5	1	no	—
1042	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1043	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1044	#127	—	5	1	no	—
1045	#127	—	5	1	no	—
1046	#126	—	2	1	no	—
1047	#126	—	2	1	no	—
1048	#126	—	2	1	no	—
1049	#126	—	10	1	no	—
1050	#126	—	10	1	no	—
1051	#126	—	10	1	no	—
1052	#126	—	10	1	no	—
1053	#126	—	10	1	no	—
1054	#126	—	10	1	no	—
1055	#126	—	10	1	no	—
1056	#126	—	10	1	no	—
1057	#126	—	10	1	no	—
1058	#126	—	10	1	no	—
1059	#126	—	10	1	no	—
1060	#126	—	10	1	no	—
1061	#126	—	10	1	no	—
1062	#125	—	2	1	no	—
1063	#125	—	2	1	no	—
1064	#125	—	5	1	no	—
1065	#125	—	5	1	no	—
1066	#125	—	5	1	no	—
1067	#125	—	10	1	no	—
1068	#125	—	10	1	no	—
1069	#125	—	10	1	no	—
1070	#125	—	10	1	no	—
1071	#125	—	10	1	no	—
1072	#125	—	10	1	no	—
1073	#125	C₂²×D₅	1	1	yes	characteristic
1074	#124	—	2	1	no	—
1075	#124	—	5	1	no	—
1076	#124	—	5	1	no	—
1077	#124	—	5	1	no	—
1078	#124	—	10	1	no	—
1079	#124	—	10	1	no	—
1080	#124	—	10	1	no	—
1081	#124	—	10	1	no	—
1082	#124	—	10	1	no	—
1083	#124	—	10	1	no	—
1084	#124	—	10	1	no	—
1085	#124	C₂²×D₅	1	1	yes	characteristic
1086	#123	—	2	1	no	—
1087	#123	—	10	1	no	—
1088	#123	—	10	1	no	—
1089	#123	—	10	1	no	—
1090	#123	—	10	1	no	—
1091	#123	—	10	1	no	—
1092	#123	—	10	1	no	—
1093	#123	—	10	1	no	—
1094	#123	—	10	1	no	—
1095	#123	—	10	1	no	—
1096	#123	—	10	1	no	—
1097	#123	—	10	1	no	—
1098	#123	—	10	1	no	—
1099	#123	—	10	1	no	—
1100	#123	—	10	1	no	—
1101	#123	—	10	1	no	—
1102	#123	—	10	1	no	—
1103	#123	—	10	1	no	—
1104	#123	—	10	1	no	—
1105	#123	—	10	1	no	—
1106	C₂²⋊Q₈	—	2	1	no	—
1107	C₂²⋊Q₈	—	5	1	no	—
1108	C₂²⋊Q₈	—	5	1	no	—
1109	C₂²⋊Q₈	—	5	1	no	—
1110	C₂²⋊Q₈	—	5	1	no	—
1111	C₂²⋊Q₈	—	5	1	no	—
1112	C₂²⋊Q₈	—	10	1	no	—
1113	C₂²⋊Q₈	—	10	1	no	—
1114	C₂²⋊Q₈	—	10	1	no	—
1115	C₂²⋊Q₈	—	10	1	no	—
1116	C₂²⋊Q₈	—	10	1	no	—
1117	C₂²⋊Q₈	—	10	1	no	—
1118	C₂²⋊Q₈	—	10	1	no	—
1119	C₂²⋊Q₈	—	10	1	no	—
1120	C₂²⋊Q₈	—	10	1	no	—
1121	C₂²⋊Q₈	—	10	1	no	—
1122	C₂²⋊Q₈	—	10	1	no	—
1123	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1124	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1125	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1126	#121	—	5	1	no	—
1127	#121	—	5	1	no	—
1128	#121	—	5	1	no	—
1129	#121	—	5	1	no	—
1130	#121	—	5	1	no	—
1131	#121	—	5	1	no	—
1132	#121	—	5	1	no	—
1133	#121	—	10	1	no	—
1134	#121	—	10	1	no	—
1135	#121	—	10	1	no	—
1136	#121	—	10	1	no	—
1137	#121	—	10	1	no	—
1138	#121	—	10	1	no	—
1139	#121	—	10	1	no	—
1140	#121	—	10	1	no	—
1141	#121	—	10	1	no	—
1142	#121	—	10	1	no	—
1143	#121	—	10	1	no	—
1144	#121	—	10	1	no	—
1145	#121	C₂²×D₅	1	1	yes	characteristic
1146	#120	—	10	1	no	—
1147	#120	—	10	1	no	—
1148	#120	—	10	1	no	—
1149	#120	—	10	1	no	—
1150	C₄×Q₈	—	5	1	no	—
1151	C₄×Q₈	—	5	1	no	—
1152	C₄×Q₈	—	5	1	no	—
1153	C₄×Q₈	—	5	1	no	—
1154	C₄×Q₈	—	5	1	no	—
1155	C₄×Q₈	—	10	1	no	—
1156	C₄×Q₈	—	10	1	no	—
1157	C₄×Q₈	—	10	1	no	—
1158	C₄×Q₈	—	10	1	no	—
1159	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1160	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1161	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1162	C₄×D₄	—	5	1	no	—
1163	C₄×D₄	—	5	1	no	—
1164	C₄×D₄	—	5	1	no	—
1165	C₄×D₄	—	5	1	no	—
1166	C₄×D₄	—	5	1	no	—
1167	C₄×D₄	—	5	1	no	—
1168	C₄×D₄	—	5	1	no	—
1169	C₄×D₄	—	10	1	no	—
1170	C₄×D₄	—	10	1	no	—
1171	C₄×D₄	—	10	1	no	—
1172	C₄×D₄	—	10	1	no	—
1173	C₄×D₄	—	10	1	no	—
1174	C₄×D₄	—	10	1	no	—
1175	C₄×D₄	—	10	1	no	—
1176	C₄×D₄	—	10	1	no	—
1177	C₄×D₄	—	10	1	no	—
1178	C₄×D₄	—	10	1	no	—
1179	C₄×D₄	—	10	1	no	—
1180	C₄×D₄	—	10	1	no	—
1181	C₄×D₄	—	10	1	no	—
1182	C₄×D₄	—	10	1	no	—
1183	C₄×D₄	—	10	1	no	—
1184	C₄×D₄	—	10	1	no	—
1185	C₄×D₄	—	10	1	no	—
1186	C₄×D₄	—	10	1	no	—
1187	C₄×D₄	—	10	1	no	—
1188	C₄×D₄	—	10	1	no	—
1189	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1190	#117	—	5	1	no	—
1191	#117	—	5	1	no	—
1192	#117	—	5	1	no	—
1193	#117	—	5	1	no	—
1194	#117	—	5	1	no	—
1195	#117	—	5	1	no	—
1196	#117	—	5	1	no	—
1197	#117	—	5	1	no	—
1198	#117	—	5	1	no	—
1199	#117	—	5	1	no	—
1200	#117	—	5	1	no	—
1201	#117	—	10	1	no	—
1202	#117	—	10	1	no	—
1203	#117	—	10	1	no	—
1204	#117	—	10	1	no	—
1205	#117	C₂²×D₅	1	1	yes	characteristic
1206	C₂×C₄⋊C₄	—	5	1	no	—
1207	C₂×C₄⋊C₄	—	5	1	no	—
1208	C₂×C₂²⋊C₄	—	5	1	no	—
1209	C₂×C₂²⋊C₄	—	5	1	no	—
1210	C₂×C₄²	—	5	1	no	—
1211	C₂×C₄²	—	5	1	no	—
1212	C₂×C₄²	—	10	1	no	—
1213	C₂×C₄²	—	10	1	no	—
1214	C₂×C₄²	—	10	1	no	—
1215	C₂×C₄²	—	10	1	no	—
1216	#107	—	5	1	no	—
1217	#107	—	5	1	no	—
1218	#107	—	5	1	no	—
1219	#107	—	5	1	no	—
1220	#107	—	5	1	no	—
1221	#107	—	5	1	no	—
1222	#107	C₂²×D₅	1	1	yes	characteristic
1223	#107	C₂²×D₅	1	1	yes	characteristic
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	#103	—	5	1	no	—
1233	#103	—	5	1	no	—
1234	#103	—	5	1	no	—
1235	#103	—	5	1	no	—
1236	#103	—	5	1	no	—
1237	#103	—	5	1	no	—
1238	#103	—	5	1	no	—
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	#103	C₂²×D₅	1	1	yes	characteristic
1246	#103	C₂²×D₅	1	1	yes	characteristic
1247	#103	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1261	#102	—	5	1	no	—
1262	#102	C₂²×D₅	1	1	yes	characteristic
1263	#102	C₂²×D₅	1	1	yes	characteristic
1264	#97	—	5	1	no	—
1265	#97	—	5	1	no	—
1266	#97	—	5	1	no	—
1267	#97	—	5	1	no	—
1268	#97	—	5	1	no	—
1269	#97	—	5	1	no	—
1270	#97	C₂²×D₅	1	1	yes	characteristic
1271	#97	C₂²×D₅	1	1	yes	characteristic
1272	C₄×C₈	—	5	1	no	—
1273	C₄×C₈	—	5	1	no	—
1274	C₄×C₈	—	5	1	no	—
1275	C₄×C₈	—	5	1	no	—
1276	C₄×C₈	—	5	1	no	—
1277	C₄×C₈	—	5	1	no	—
1278	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1279	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1280	C₂²×C₅	—	2	1	no	—
1281	C₂²×C₅	—	2	1	no	—
1282	C₂²×C₅	—	2	1	no	—
1283	C₂²×C₅	—	4	1	no	—
1284	C₂²×C₅	—	4	1	no	—
1285	C₂²×C₅	—	4	1	no	—
1286	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
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	—	4	4	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	—	4	1	no	—
1300	C₂×D₅	—	4	1	no	—
1301	C₂×D₅	—	4	1	no	—
1302	C₂×D₅	#532	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	—	2	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	—	4	1	no	—
1315	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1316	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1317	Dic₅	—	2	1	no	—
1318	Dic₅	—	2	1	no	—
1319	Dic₅	—	2	1	no	—
1320	Dic₅	—	2	1	no	—
1321	Dic₅	—	2	1	no	—
1322	Dic₅	—	4	1	no	—
1323	Dic₅	—	4	1	no	—
1324	Dic₅	—	4	1	no	—
1325	Dic₅	—	4	1	no	—
1326	Dic₅	—	4	1	no	—
1327	Dic₅	#532	1	2	yes	—
1328	C₂⁴	—	5	1	no	—
1329	#41	—	10	2	no	—
1330	#41	—	10	2	no	—
1331	#41	—	10	2	no	—
1332	#41	—	10	2	no	—
1333	#41	—	10	2	no	—
1334	#41	—	10	2	no	—
1335	#41	—	10	2	no	—
1336	#41	—	10	2	no	—
1337	C₂×Q₈	—	2	1	no	—
1338	C₂×Q₈	—	5	1	no	—
1339	C₂×Q₈	—	10	1	no	—
1340	C₂×Q₈	—	10	1	no	—
1341	C₂×Q₈	—	10	1	no	—
1342	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1343	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1344	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1345	C₂×D₄	—	2	1	no	—
1346	C₂×D₄	—	5	1	no	—
1347	C₂×D₄	—	5	1	no	—
1348	C₂×D₄	—	5	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	1	no	—
1354	C₂×D₄	—	10	1	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	—	10	1	no	—
1363	C₂×D₄	—	10	1	no	—
1364	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1365	C₂²×C₄	—	2	1	no	—
1366	C₂²×C₄	—	5	1	no	—
1367	C₂²×C₄	—	5	1	no	—
1368	C₂²×C₄	—	5	1	no	—
1369	C₂²×C₄	—	5	1	no	—
1370	C₂²×C₄	—	5	1	no	—
1371	C₂²×C₄	—	5	1	no	—
1372	C₂²×C₄	—	5	1	no	—
1373	C₂²×C₄	—	5	1	no	—
1374	C₂²×C₄	—	5	1	no	—
1375	C₂²×C₄	—	10	2	no	—
1376	C₂²×C₄	—	10	2	no	—
1377	C₂²×C₄	—	10	1	no	—
1378	C₂²×C₄	—	10	1	no	—
1379	C₂²×C₄	—	10	1	no	—
1380	C₂²×C₄	—	10	1	no	—
1381	C₂²×C₄	—	10	1	no	—
1382	C₂²×C₄	—	10	1	no	—
1383	C₂²×C₄	—	10	1	no	—
1384	C₂²×C₄	—	10	1	no	—
1385	C₂²×C₄	—	10	1	no	—
1386	C₂²×C₄	—	10	1	no	—
1387	C₂²×C₄	—	10	1	no	—
1388	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1389	Q₁₆	—	2	2	no	—
1390	Q₁₆	—	2	2	no	—
1391	Q₁₆	—	10	2	no	—
1392	Q₁₆	—	10	2	no	—
1393	SD₁₆	—	2	2	no	—
1394	SD₁₆	—	2	2	no	—
1395	SD₁₆	—	10	2	no	—
1396	SD₁₆	—	10	2	no	—
1397	SD₁₆	—	10	2	no	—
1398	SD₁₆	—	10	2	no	—
1399	SD₁₆	—	10	2	no	—
1400	SD₁₆	—	10	2	no	—
1401	D₈	—	10	2	no	—
1402	D₈	—	10	2	no	—
1403	D₈	—	10	2	no	—
1404	D₈	—	10	2	no	—
1405	M₁₆	—	2	2	no	—
1406	M₁₆	—	10	2	no	—
1407	M₁₆	—	10	2	no	—
1408	M₁₆	—	10	2	no	—
1409	C₂×C₈	—	2	2	no	—
1410	C₂×C₈	—	5	1	no	—
1411	C₂×C₈	—	5	1	no	—
1412	C₂×C₈	—	5	4	no	—
1413	C₂×C₈	—	5	4	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	—	10	2	no	—
1420	C₂×C₈	—	10	2	no	—
1421	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1422	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1423	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1424	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	5	1	no	—
1437	C₄⋊C₄	—	5	1	no	—
1438	C₄⋊C₄	—	5	1	no	—
1439	C₄⋊C₄	—	5	1	no	—
1440	C₄⋊C₄	—	5	1	no	—
1441	C₄⋊C₄	—	5	1	no	—
1442	C₄⋊C₄	—	5	1	no	—
1443	C₄⋊C₄	—	5	1	no	—
1444	C₄⋊C₄	—	5	1	no	—
1445	C₄⋊C₄	—	5	1	no	—
1446	C₄⋊C₄	—	10	1	no	—
1447	C₄⋊C₄	—	10	1	no	—
1448	C₄⋊C₄	—	10	1	no	—
1449	C₄⋊C₄	—	10	1	no	—
1450	C₄⋊C₄	—	10	1	no	—
1451	C₄⋊C₄	—	10	1	no	—
1452	C₄⋊C₄	—	10	1	no	—
1453	C₄⋊C₄	—	10	1	no	—
1454	C₄⋊C₄	—	10	1	no	—
1455	C₄⋊C₄	—	10	1	no	—
1456	C₄⋊C₄	—	10	1	no	—
1457	C₄⋊C₄	—	10	1	no	—
1458	C₄⋊C₄	—	10	1	no	—
1459	C₄⋊C₄	—	10	1	no	—
1460	C₄⋊C₄	—	10	1	no	—
1461	C₄⋊C₄	—	10	1	no	—
1462	C₄⋊C₄	—	10	1	no	—
1463	C₄⋊C₄	—	10	1	no	—
1464	C₄⋊C₄	—	10	1	no	—
1465	C₄⋊C₄	—	10	1	no	—
1466	C₄⋊C₄	—	10	1	no	—
1467	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1468	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1469	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1470	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1471	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1472	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	5	1	no	—
1481	C₂²⋊C₄	—	5	1	no	—
1482	C₂²⋊C₄	—	5	1	no	—
1483	C₂²⋊C₄	—	5	1	no	—
1484	C₂²⋊C₄	—	5	1	no	—
1485	C₂²⋊C₄	—	5	1	no	—
1486	C₂²⋊C₄	—	10	1	no	—
1487	C₂²⋊C₄	—	10	1	no	—
1488	C₂²⋊C₄	—	10	1	no	—
1489	C₂²⋊C₄	—	10	1	no	—
1490	C₂²⋊C₄	—	10	1	no	—
1491	C₂²⋊C₄	—	10	1	no	—
1492	C₂²⋊C₄	—	10	1	no	—
1493	C₂²⋊C₄	—	10	1	no	—
1494	C₂²⋊C₄	—	10	1	no	—
1495	C₂²⋊C₄	—	10	1	no	—
1496	C₂²⋊C₄	—	10	1	no	—
1497	C₂²⋊C₄	—	10	1	no	—
1498	C₂²⋊C₄	—	10	1	no	—
1499	C₂²⋊C₄	—	10	1	no	—
1500	C₂²⋊C₄	—	10	1	no	—
1501	C₂²⋊C₄	—	10	1	no	—
1502	C₂²⋊C₄	—	10	1	no	—
1503	C₂²⋊C₄	—	10	1	no	—
1504	C₂²⋊C₄	—	10	1	no	—
1505	C₂²⋊C₄	—	10	1	no	—
1506	C₂²⋊C₄	—	10	1	no	—
1507	C₂²⋊C₄	—	10	1	no	—
1508	C₂²⋊C₄	—	10	1	no	—
1509	C₂²⋊C₄	—	10	1	no	—
1510	C₂²⋊C₄	—	10	1	no	—
1511	C₂²⋊C₄	—	10	1	no	—
1512	C₂²⋊C₄	—	10	1	no	—
1513	C₂²⋊C₄	—	10	1	no	—
1514	C₂²⋊C₄	—	10	1	no	—
1515	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1516	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1517	C₄²	—	2	1	no	—
1518	C₄²	—	2	1	no	—
1519	C₄²	—	2	1	no	—
1520	C₄²	—	5	1	no	—
1521	C₄²	—	5	1	no	—
1522	C₄²	—	5	1	no	—
1523	C₄²	—	5	1	no	—
1524	C₄²	—	5	1	no	—
1525	C₄²	—	5	1	no	—
1526	C₄²	—	10	1	no	—
1527	C₄²	—	10	1	no	—
1528	C₄²	—	10	1	no	—
1529	C₄²	—	10	1	no	—
1530	C₄²	—	10	1	no	—
1531	C₄²	—	10	1	no	—
1532	C₄²	—	10	1	no	—
1533	C₄²	—	10	1	no	—
1534	C₄²	—	10	1	no	—
1535	C₄²	C₂³×D₅	1	1	yes	characteristic
1536	C₄²	C₂³×D₅	1	1	yes	characteristic
1537	C₂×C₅	—	4	1	no	—
1538	C₂×C₅	—	8	1	no	—
1539	C₂×C₅	C₂×#532	1	1	yes	characteristic
1540	C₂×C₅	#3584	1	1	yes	characteristic
1541	C₂×C₅	#3584	1	1	yes	characteristic
1542	D₅	—	2	2	no	—
1543	D₅	—	4	1	no	—
1544	D₅	—	8	1	no	—
1545	D₅	—	8	1	no	—
1546	D₅	—	8	1	no	—
1547	C₂³	—	2	1	no	—
1548	C₂³	—	5	1	no	—
1549	C₂³	—	5	1	no	—
1550	C₂³	—	10	2	no	—
1551	C₂³	—	10	1	no	—
1552	C₂³	—	10	1	no	—
1553	C₂³	—	10	1	no	—
1554	C₂³	—	20	1	no	—
1555	C₂³	—	20	1	no	—
1556	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1557	Q₈	—	2	1	no	—
1558	Q₈	—	2	1	no	—
1559	Q₈	—	2	1	no	—
1560	Q₈	—	2	1	no	—
1561	Q₈	—	2	1	no	—
1562	Q₈	—	2	1	no	—
1563	Q₈	—	8	1	no	—
1564	Q₈	—	10	1	no	—
1565	Q₈	—	10	1	no	—
1566	Q₈	—	40	1	no	—
1567	Q₈	—	40	1	no	—
1568	Q₈	—	40	1	no	—
1569	D₄	—	2	1	no	—
1570	D₄	—	2	1	no	—
1571	D₄	—	8	1	no	—
1572	D₄	—	10	1	no	—
1573	D₄	—	10	1	no	—
1574	D₄	—	10	1	no	—
1575	D₄	—	10	1	no	—
1576	D₄	—	10	1	no	—
1577	D₄	—	10	1	no	—
1578	D₄	—	20	2	no	—
1579	D₄	—	20	2	no	—
1580	D₄	—	20	2	no	—
1581	D₄	—	20	2	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	D₄	—	40	1	no	—
1589	D₄	—	40	1	no	—
1590	D₄	—	40	1	no	—
1591	D₄	—	40	1	no	—
1592	D₄	—	40	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	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	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	—	5	1	no	—
1609	C₂×C₄	—	5	1	no	—
1610	C₂×C₄	—	8	1	no	—
1611	C₂×C₄	—	10	2	no	—
1612	C₂×C₄	—	10	2	no	—
1613	C₂×C₄	—	10	2	no	—
1614	C₂×C₄	—	10	1	no	—
1615	C₂×C₄	—	10	1	no	—
1616	C₂×C₄	—	10	1	no	—
1617	C₂×C₄	—	10	1	no	—
1618	C₂×C₄	—	10	1	no	—
1619	C₂×C₄	—	10	1	no	—
1620	C₂×C₄	—	10	1	no	—
1621	C₂×C₄	—	20	1	no	—
1622	C₂×C₄	—	20	1	no	—
1623	C₂×C₄	—	20	1	no	—
1624	C₂×C₄	—	20	1	no	—
1625	C₂×C₄	—	20	2	no	—
1626	C₂×C₄	—	20	2	no	—
1627	C₂×C₄	—	20	2	no	—
1628	C₂×C₄	—	20	2	no	—
1629	C₂×C₄	—	40	1	no	—
1630	C₂×C₄	—	40	1	no	—
1631	C₂×C₄	—	40	1	no	—
1632	C₂×C₄	—	40	1	no	—
1633	C₂×C₄	—	40	1	no	—
1634	C₂×C₄	—	40	1	no	—
1635	C₂×C₄	—	40	1	no	—
1636	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1637	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
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	C₂⁴×D₅	1	1	yes	characteristic
1642	C₈	—	2	1	no	—
1643	C₈	—	2	1	no	—
1644	C₈	—	5	2	no	—
1645	C₈	—	5	2	no	—
1646	C₈	—	10	1	no	—
1647	C₈	—	10	1	no	—
1648	C₈	D₅×#41	1	2	yes	—
1649	C₈	D₅×#41	1	2	yes	—
1650	C₅	#60685	1	1	yes	characteristic, complemented, Sylow
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	4	1	no	—
1657	C₂²	—	5	2	no	—
1658	C₂²	—	10	1	no	—
1659	C₂²	—	10	1	no	—
1660	C₂²	—	10	1	no	—
1661	C₂²	—	10	1	no	—
1662	C₂²	—	10	1	no	—
1663	C₂²	—	20	4	no	—
1664	C₂²	—	20	1	no	—
1665	C₂²	—	20	1	no	—
1666	C₂²	—	20	1	no	—
1667	C₂²	—	20	1	no	—
1668	C₂²	—	20	1	no	—
1669	C₂²	—	20	1	no	—
1670	C₂²	—	20	1	no	—
1671	C₂²	—	20	1	no	—
1672	C₂²	—	20	1	no	—
1673	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1674	C₄	—	2	1	no	—
1675	C₄	—	2	1	no	—
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	4	1	no	—
1680	C₄	—	4	1	no	—
1681	C₄	—	4	1	no	—
1682	C₄	—	4	1	no	—
1683	C₄	—	4	1	no	—
1684	C₄	—	4	1	no	—
1685	C₄	—	4	1	no	—
1686	C₄	—	5	2	no	—
1687	C₄	—	10	1	no	—
1688	C₄	—	10	1	no	—
1689	C₄	—	10	1	no	—
1690	C₄	—	10	1	no	—
1691	C₄	—	10	1	no	—
1692	C₄	—	20	1	no	—
1693	C₄	—	20	1	no	—
1694	C₄	—	20	1	no	—
1695	C₄	—	20	1	no	—
1696	C₄	—	20	1	no	—
1697	C₄	C₂×D₅×#41	1	1	yes	characteristic
1698	C₄	C₂×D₅×#41	1	1	yes	characteristic
1699	C₂	—	4	1	no	—
1700	C₂	—	8	1	no	—
1701	C₂	—	10	2	no	—
1702	C₂	—	20	1	no	—
1703	C₂	—	40	1	no	—
1704	C₂	—	40	1	no	—
1705	C₂	—	40	1	no	—
1706	C₂	D₅×#532	1	1	yes	characteristic
1707	C₂	#10619107	1	1	yes	characteristic
1708	C₂	#10619111	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×#3178	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3178	D₅
hypocenter	C₅	#60685
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3178

Complements

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

N	H ≅ G/N	type
1. #10618424	C₂	semidirect
2. #10618396	C₂	semidirect
3. C₅×#3178	C₂	semidirect
4. #10615190	C₂	semidirect
5. #10615176	C₂	semidirect
6. #10613704	C₂	semidirect
7. #10613692	C₂	semidirect
8. #10613600	C₂	semidirect
9. #10613593	C₂	semidirect
10. #10613368	C₂	semidirect
11. #10613361	C₂	semidirect
12. #10613329	C₂	semidirect
13. #10613325	C₂	semidirect
14. #10612634	C₂	semidirect
15. #10612622	C₂	semidirect
16. #10612535	C₂	semidirect
17. #10612520	C₂	semidirect
18. #10612489	C₂	semidirect
19. #10612475	C₂	semidirect
20. #10612387	C₂	semidirect
21. #10612368	C₂	semidirect
22. #10611559	C₂	semidirect
23. #10611556	C₂	semidirect
24. #10611503	C₂	semidirect
25. #10611501	C₂	semidirect
26. #10611460	C₂	semidirect
27. C₄×#4065	C₂	semidirect
28. #10611400	C₂	semidirect
29. C₄×#4062	C₂	semidirect
30. #10610309	C₂	semidirect
31. D₅×#405	C₂	semidirect
83. C₅×#501	C₂²	semidirect
84. C₅×#497	C₂²	semidirect
85. C₅×#488	C₂²	semidirect
86. C₅×#487	C₂²	semidirect
91. C₅×#441	C₂²	semidirect
92. C₅×#440	C₂²	semidirect
93. C₄×C₅×Q₁₆	C₂²	semidirect
94. C₄×C₅×SD₁₆	C₂²	semidirect
96. #65479	C₂²	semidirect
97. #65479	C₂²	semidirect
100. #65473	C₂²	semidirect
101. Q₁₆×Dic₅	C₂²	semidirect
102. #65465	C₂²	semidirect
103. #65465	C₂²	semidirect
106. #65453	C₂²	semidirect
107. SD₁₆×Dic₅	C₂²	semidirect
114. #65377	C₂²	semidirect
115. #65375	C₂²	semidirect
116. #65370	C₂²	semidirect
117. #65369	C₂²	semidirect
118. #65357	C₂²	semidirect
119. #65354	C₂²	semidirect
120. #65347	C₂²	semidirect
121. #65345	C₂²	semidirect
130. #65319	C₂²	semidirect
131. C₄×#689	C₂²	semidirect
132. #65315	C₂²	semidirect
133. #65315	C₂²	semidirect
134. C₄×#688	C₂²	semidirect
135. C₄×#688	C₂²	semidirect
136. #65303	C₂²	semidirect
137. C₄×#686	C₂²	semidirect
139. #65178	C₂²	semidirect
144. #65165	C₂²	semidirect
145. #65165	C₂²	semidirect
146. #65161	C₂²	semidirect
147. #65158	C₂²	semidirect
152. #65145	C₂²	semidirect
153. #65145	C₂²	semidirect
154. #65141	C₂²	semidirect
155. #65106	C₂²	semidirect
156. #65106	C₂²	semidirect
169. #65089	C₂²	semidirect
170. #65089	C₂²	semidirect
171. #65089	C₂²	semidirect
172. #65089	C₂²	semidirect
173. #65081	C₂²	semidirect
174. #65081	C₂²	semidirect
175. #65079	C₂²	semidirect
176. #65078	C₂²	semidirect
177. #65077	C₂²	semidirect
178. #65077	C₂²	semidirect
179. #65074	C₂²	semidirect
184. #65049	C₂²	semidirect
185. #65049	C₂²	semidirect
186. #65045	C₂²	semidirect
187. #65001	C₂²	semidirect
188. #65000	C₂²	semidirect
189. #64999	C₂²	semidirect
194. #64991	C₂²	semidirect
195. #64986	C₂²	semidirect
196. #64983	C₂²	semidirect
197. C₄×D₄₀	C₂²	semidirect
198. C₄×#677	C₂²	semidirect
502. #3178	D₅	semidirect
783. #501	C₂×D₅	semidirect
787. #497	C₂×D₅	semidirect
799. #488	C₂×D₅	semidirect
803. #487	C₂×D₅	semidirect
847. #441	C₂×D₅	semidirect
855. #440	C₂×D₅	semidirect
859. C₄×Q₁₆	C₂×D₅	semidirect
867. C₄×SD₁₆	C₂×D₅	semidirect
1650. C₅	#60685	semidirect

Maximal subgroups

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

subgroup	index
#10618424	2
#10618396	2
C₅×#3178	2
#10615190	2
#10615176	2
#10613704	2
#10613692	2
#10613600	2
#10613593	2
#10613368	2
#10613361	2
#10613329	2
#10613325	2
#10612634	2
#10612622	2
#10612535	2
#10612520	2
#10612489	2
#10612475	2
#10612387	2
#10612368	2
#10611559	2
#10611556	2
#10611503	2
#10611501	2
#10611460	2
C₄×#4065	2
#10611400	2
C₄×#4062	2
#10610309	2
D₅×#405	2
#60685	5