Subgroups — #12992760

Order 1280.

1790 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618651	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618634	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3270	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615719	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615700	C₂	1	1	yes	maximal, characteristic, complemented
6	#10615620	C₂	1	1	yes	maximal, characteristic, complemented
7	#10615608	C₂	1	1	yes	maximal, characteristic, complemented
8	#10615290	C₂	1	1	yes	maximal, characteristic, complemented
9	#10615270	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613606	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613597	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612645	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612628	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612422	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612375	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612328	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612316	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612228	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612202	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611994	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611979	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611938	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611934	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611928	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611908	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611796	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611764	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611578	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611546	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611237	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611195	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅×#137	C₂²	1	1	yes	characteristic
33	C₂²×C₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
34	C₅×D₄×Q₈	C₂²	1	1	yes	characteristic
35	C₅×#548	C₂²	1	1	yes	characteristic
36	#66164	C₂²	1	1	yes	characteristic
37	#66158	C₂²	1	1	yes	characteristic
38	#66151	C₂²	1	1	yes	characteristic
39	#66151	C₂²	1	1	yes	characteristic
40	#66151	C₂²	1	1	yes	characteristic, complemented
41	#66150	C₂²	1	1	yes	characteristic
42	#66146	C₂²	1	1	yes	characteristic
43	#66146	C₂²	1	1	yes	characteristic, complemented
44	C₂×#4088	C₂²	1	1	yes	characteristic
45	C₂²×#688	C₂²	1	1	yes	characteristic
46	C₂×#4065	C₂²	1	1	yes	characteristic
47	C₂×#4062	C₂²	1	1	yes	characteristic, complemented
48	#66066	—	2	1	no	—
49	#66066	C₂²	1	1	yes	characteristic, complemented
50	#66062	—	2	1	no	—
51	#66062	C₂²	1	1	yes	characteristic, complemented
52	#66015	C₂²	1	1	yes	characteristic
53	#66013	—	2	1	no	—
54	#66012	—	2	1	no	—
55	#66002	C₂²	1	1	yes	characteristic
56	#65981	—	2	1	no	—
57	#65979	—	2	1	no	—
58	#65977	—	2	1	no	—
59	#65977	—	2	1	no	—
60	#65977	C₂²	1	1	yes	characteristic
61	#65977	C₂²	1	1	yes	characteristic, complemented
62	#65975	—	2	1	no	—
63	#65975	—	2	1	no	—
64	#65975	C₂²	1	1	yes	characteristic
65	#65975	C₂²	1	1	yes	characteristic, complemented
66	#65964	C₂²	1	1	yes	characteristic
67	#65959	C₂²	1	1	yes	characteristic
68	#65954	—	2	1	no	—
69	#65953	C₂²	1	1	yes	characteristic
70	#65947	—	2	1	no	—
71	#65933	C₂²	1	1	yes	characteristic
72	#65914	C₂²	1	1	yes	characteristic
73	C₄×#713	C₂²	1	1	yes	characteristic, complemented
74	#65902	C₂²	1	1	yes	characteristic
75	Q₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
76	#65897	—	2	1	no	—
77	#65897	C₂²	1	1	yes	characteristic
78	#65896	—	2	1	no	—
79	#65891	—	2	1	no	—
80	#65891	C₂²	1	1	yes	characteristic
81	#65884	C₂²	1	1	yes	characteristic
82	#65874	—	2	1	no	—
83	C₅×#497	C₂²	1	1	yes	characteristic, complemented
84	C₅×#470	C₂²	1	1	yes	characteristic
85	C₅×#465	C₂²	1	1	yes	characteristic, complemented
86	C₅×#464	C₂²	1	1	yes	characteristic, complemented
87	C₅×#462	C₂²	1	1	yes	characteristic, complemented
88	C₅×#452	C₂²	1	1	yes	characteristic
89	C₅×#451	C₂²	1	1	yes	characteristic
90	C₅×#451	C₂²	1	1	yes	characteristic, complemented
91	C₅×#448	C₂²	1	1	yes	characteristic, complemented
92	C₅×#441	C₂²	1	1	yes	characteristic, complemented
93	C₅×#435	C₂²	1	1	yes	characteristic
94	#65527	C₂²	1	1	yes	characteristic
95	#65522	C₂²	1	1	yes	characteristic
96	#65517	C₂²	1	1	yes	characteristic
97	#65516	C₂²	1	1	yes	characteristic
98	#65516	C₂²	1	1	yes	characteristic, complemented
99	#65514	C₂²	1	1	yes	characteristic, complemented
100	#65480	C₂²	1	1	yes	characteristic
101	#65480	C₂²	1	1	yes	characteristic
102	#65479	C₂²	1	1	yes	characteristic, complemented
103	#65477	C₂²	1	1	yes	characteristic, complemented
104	#65477	C₂²	1	1	yes	characteristic, complemented
105	#65476	C₂²	1	1	yes	characteristic
106	#65476	C₂²	1	1	yes	characteristic
107	#65476	C₂²	1	1	yes	characteristic, complemented
108	#65474	C₂²	1	1	yes	characteristic
109	#65474	C₂²	1	1	yes	characteristic
110	#65474	C₂²	1	1	yes	characteristic
111	#65474	C₂²	1	1	yes	characteristic
112	#65474	C₂²	1	1	yes	characteristic
113	#65474	C₂²	1	1	yes	characteristic
114	#65474	C₂²	1	1	yes	characteristic
115	#65474	C₂²	1	1	yes	characteristic, complemented
116	#65473	C₂²	1	1	yes	characteristic, complemented
117	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
118	#65471	C₂²	1	1	yes	characteristic, complemented
119	#65471	C₂²	1	1	yes	characteristic, complemented
120	#65471	C₂²	1	1	yes	characteristic, complemented
121	#65471	C₂²	1	1	yes	characteristic, complemented
122	#65471	C₂²	1	1	yes	characteristic, complemented
123	#65465	C₂²	1	1	yes	characteristic
124	#65462	C₂²	1	1	yes	characteristic, complemented
125	#65462	C₂²	1	1	yes	characteristic, complemented
126	#65454	C₂²	1	1	yes	characteristic, complemented
127	#65453	C₂²	1	1	yes	characteristic, complemented
128	#65452	C₂²	1	1	yes	characteristic
129	#65452	C₂²	1	1	yes	characteristic
130	#65452	C₂²	1	1	yes	characteristic
131	#65452	C₂²	1	1	yes	characteristic
132	#65452	C₂²	1	1	yes	characteristic
133	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
134	#65423	C₂²	1	1	yes	characteristic
135	#65420	C₂²	1	1	yes	characteristic
136	#65416	C₂²	1	1	yes	characteristic
137	#65408	C₂²	1	1	yes	characteristic
138	#65404	C₂²	1	1	yes	characteristic
139	#65402	C₂²	1	1	yes	characteristic
140	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
141	#65391	C₂²	1	1	yes	characteristic, complemented
142	#65375	C₂²	1	1	yes	characteristic
143	#65372	C₂²	1	1	yes	characteristic
144	#65346	C₂²	1	1	yes	characteristic, complemented
145	#65344	C₂²	1	1	yes	characteristic, complemented
146	#65340	C₂²	1	1	yes	characteristic
147	#65338	C₂²	1	1	yes	characteristic
148	#65337	C₂²	1	1	yes	characteristic
149	#65336	C₂²	1	1	yes	characteristic
150	#65335	C₂²	1	1	yes	characteristic
151	#65334	C₂²	1	1	yes	characteristic
152	#65328	C₂²	1	1	yes	characteristic, complemented
153	#65324	C₂²	1	1	yes	characteristic, complemented
154	#65317	C₂²	1	1	yes	characteristic
155	#65315	C₂²	1	1	yes	characteristic
156	#65315	C₂²	1	1	yes	characteristic, complemented
157	#65309	C₂²	1	1	yes	characteristic, complemented
158	#65300	C₂²	1	1	yes	characteristic
159	#65160	C₂²	1	1	yes	characteristic, complemented
160	#65159	C₂²	1	1	yes	characteristic
161	#65155	C₂²	1	1	yes	characteristic
162	#65143	C₂²	1	1	yes	characteristic, complemented
163	#65135	C₂²	1	1	yes	characteristic
164	#65133	C₂²	1	1	yes	characteristic
165	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
166	#65117	C₂²	1	1	yes	characteristic, complemented
167	#65108	C₂²	1	1	yes	characteristic
168	#65108	C₂²	1	1	yes	characteristic
169	#65107	C₂²	1	1	yes	characteristic, complemented
170	#65106	C₂²	1	1	yes	characteristic
171	#65104	C₂²	1	1	yes	characteristic, complemented
172	#65100	C₂²	1	1	yes	characteristic
173	#65096	C₂²	1	1	yes	characteristic
174	#65096	C₂²	1	1	yes	characteristic
175	#65093	C₂²	1	1	yes	characteristic
176	#65088	C₂²	1	1	yes	characteristic, complemented
177	#65087	C₂²	1	1	yes	characteristic, complemented
178	#65085	C₂²	1	1	yes	characteristic, complemented
179	#65085	C₂²	1	1	yes	characteristic, complemented
180	#65084	C₂²	1	1	yes	characteristic
181	#65084	C₂²	1	1	yes	characteristic
182	#65083	C₂²	1	1	yes	characteristic, complemented
183	#65081	C₂²	1	1	yes	characteristic, complemented
184	#65079	C₂²	1	1	yes	characteristic, complemented
185	#65078	C₂²	1	1	yes	characteristic, complemented
186	#65077	C₂²	1	1	yes	characteristic
187	#65075	C₂²	1	1	yes	characteristic
188	#65061	C₂²	1	1	yes	characteristic, complemented
189	#65049	C₂²	1	1	yes	characteristic
190	#65048	C₂²	1	1	yes	characteristic, complemented
191	#65026	C₂²	1	1	yes	characteristic
192	#65023	C₂²	1	1	yes	characteristic
193	#65021	C₂²	1	1	yes	characteristic
194	#65017	C₂²	1	1	yes	characteristic, complemented
195	#65014	C₂²	1	1	yes	characteristic
196	#65012	C₂²	1	1	yes	characteristic
197	#65009	C₂²	1	1	yes	characteristic
198	#65009	C₂²	1	1	yes	characteristic, complemented
199	#65003	C₂²	1	1	yes	characteristic
200	#65000	C₂²	1	1	yes	characteristic
201	#64994	C₂²	1	1	yes	characteristic, complemented
202	#64990	C₂²	1	1	yes	characteristic, complemented
203	#62013	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
206	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
207	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
208	C₂×#713	C₂³	1	1	yes	characteristic
209	C₂×#713	C₂³	1	1	yes	characteristic
210	C₂×#711	C₂³	1	1	yes	characteristic
211	C₂×#709	C₂³	1	1	yes	characteristic
212	C₂²×D₂₀	C₂³	1	1	yes	characteristic
213	C₅×#137	—	4	2	no	—
214	C₂×C₅×Q₁₆	—	4	2	no	—
215	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
221	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
222	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
223	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
225	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
226	C₅×C₄⋊Q₈	—	2	1	no	—
227	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
228	C₅×#124	—	2	1	no	—
229	C₅×#124	C₂³	1	1	yes	characteristic
230	C₅×C₂²⋊Q₈	—	2	1	no	—
231	C₅×C₂²⋊Q₈	—	2	1	no	—
232	C₅×C₂²⋊Q₈	—	2	1	no	—
233	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
234	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
235	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
236	C₅×#121	—	2	1	no	—
237	C₅×#121	C₂³	1	1	yes	characteristic
238	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
239	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
240	C₄×C₅×D₄	—	2	1	no	—
241	C₄×C₅×D₄	—	2	1	no	—
242	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
243	#4093	—	2	1	no	—
244	#4093	—	2	1	no	—
245	#4093	—	2	1	no	—
246	#4093	C₂³	1	1	yes	characteristic
247	#4093	C₂³	1	1	yes	characteristic
248	#4093	C₂³	1	1	yes	characteristic
249	#4093	C₂³	1	1	yes	characteristic
250	#4093	C₂³	1	1	yes	characteristic
251	#4092	—	2	1	no	—
252	#4092	—	2	1	no	—
253	#4092	—	2	1	no	—
254	#4092	—	2	1	no	—
255	#4092	—	2	1	no	—
256	#4092	C₂³	1	1	yes	characteristic
257	#4092	C₂³	1	1	yes	characteristic
258	#4092	C₂³	1	1	yes	characteristic
259	Q₈×Dic₅	—	2	1	no	—
260	Q₈×Dic₅	—	2	1	no	—
261	Q₈×Dic₅	—	2	1	no	—
262	Q₈×Dic₅	—	2	1	no	—
263	Q₈×Dic₅	C₂³	1	1	yes	characteristic
264	Q₈×Dic₅	C₂³	1	1	yes	characteristic
265	Q₈×Dic₅	C₂³	1	1	yes	characteristic
266	Q₈×Dic₅	C₂³	1	1	yes	characteristic
267	Q₈×Dic₅	C₂³	1	1	yes	characteristic
268	Q₈×Dic₅	C₂³	1	1	yes	characteristic
269	Q₈×Dic₅	C₂³	1	1	yes	characteristic
270	Q₈×Dic₅	C₂³	1	1	yes	characteristic
271	#4090	C₂³	1	1	yes	characteristic
272	#4090	C₂³	1	1	yes	characteristic
273	C₂×#689	C₂³	1	1	yes	characteristic
274	C₂×#689	C₂³	1	1	yes	characteristic
275	C₂×#689	C₂³	1	1	yes	characteristic
276	#4088	—	4	2	no	—
277	C₂×#688	—	4	2	no	—
278	C₂×#688	C₂³	1	1	yes	characteristic
279	C₂×#688	C₂³	1	1	yes	characteristic
280	C₂×#688	C₂³	1	1	yes	characteristic
281	C₂×#688	C₂³	1	1	yes	characteristic
282	C₂×#688	C₂³	1	1	yes	characteristic
283	C₂×#688	C₂³	1	1	yes	characteristic
284	C₂×#688	C₂³	1	1	yes	characteristic
285	C₂×#688	C₂³	1	1	yes	characteristic
286	#4086	—	2	1	no	—
287	#4086	C₂³	1	1	yes	characteristic
288	#4086	C₂³	1	1	yes	characteristic
289	#4085	—	2	1	no	—
290	#4085	—	2	1	no	—
291	#4085	—	2	1	no	—
292	#4084	—	2	1	no	—
293	#4084	—	2	1	no	—
294	#4084	D₄	1	1	yes	characteristic
295	#4083	—	2	1	no	—
296	#4083	—	2	1	no	—
297	#4083	—	2	1	no	—
298	#4082	D₄	1	1	yes	characteristic
299	#4081	—	2	1	no	—
300	D₄×Dic₅	C₂³	1	1	yes	characteristic
301	C₂×#686	C₂³	1	1	yes	characteristic
302	#4076	—	2	1	no	—
303	#4076	—	2	1	no	—
304	#4076	—	2	1	no	—
305	#4076	—	2	1	no	—
306	#4076	—	2	1	no	—
307	#4076	C₂³	1	1	yes	characteristic
308	#4076	C₂³	1	1	yes	characteristic
309	#4076	C₂³	1	1	yes	characteristic
310	#4075	—	2	1	no	—
311	#4075	—	2	1	no	—
312	#4075	—	2	1	no	—
313	C₄×C₂²⋊D₅	—	2	1	no	—
314	C₄×C₂²⋊D₅	—	2	1	no	—
315	C₄×C₂²⋊D₅	—	2	1	no	—
316	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
317	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
318	#4072	—	2	1	no	—
319	#4072	—	2	1	no	—
320	#4072	—	2	1	no	—
321	#4072	—	2	1	no	—
322	#4072	C₂³	1	1	yes	characteristic
323	#4072	C₂³	1	1	yes	characteristic
324	#4072	C₂³	1	1	yes	characteristic
325	#4072	C₂³	1	1	yes	characteristic
326	#4070	C₂³	1	1	yes	characteristic
327	C₂×#683	—	2	1	no	—
328	C₂×#681	C₂³	1	1	yes	characteristic
329	C₂²×#168	C₂³	1	1	yes	characteristic
330	#4065	—	4	2	no	—
331	#4062	—	4	2	no	—
332	C₂×D₄₀	C₂³	1	1	yes	characteristic
333	C₂×D₄₀	C₂³	1	1	yes	characteristic
334	C₂×#677	C₂³	1	1	yes	characteristic
335	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
336	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
337	#4044	—	2	1	no	—
338	#4044	—	2	1	no	—
339	#4044	—	2	1	no	—
340	#4044	—	2	1	no	—
341	#4044	—	2	1	no	—
342	#4044	—	2	1	no	—
343	#4044	—	2	1	no	—
344	#4044	—	2	1	no	—
345	#4043	—	2	1	no	—
346	#4043	—	2	1	no	—
347	#4043	—	2	1	no	—
348	#4043	—	2	1	no	—
349	#4043	D₄	1	1	yes	characteristic
350	#4042	—	2	1	no	—
351	#4041	—	2	1	no	—
352	#4041	C₂³	1	1	yes	characteristic
353	#4040	—	2	1	no	—
354	#4040	—	2	1	no	—
355	#4040	—	2	1	no	—
356	#4039	—	2	1	no	—
357	#4039	C₂³	1	1	yes	characteristic
358	#4039	C₂³	1	1	yes	characteristic
359	#4038	—	2	1	no	—
360	#4038	—	2	1	no	—
361	#4038	—	2	1	no	—
362	#4038	—	2	1	no	—
363	#4038	C₂³	1	1	yes	characteristic
364	#4036	—	2	1	no	—
365	#4036	—	2	1	no	—
366	#4036	D₄	1	1	yes	characteristic
367	#4036	C₂³	1	1	yes	characteristic
368	#4035	—	2	1	no	—
369	#4034	—	2	1	no	—
370	#4034	—	2	1	no	—
371	#4034	C₂³	1	1	yes	characteristic
372	#4034	C₂³	1	1	yes	characteristic
373	#4033	—	2	1	no	—
374	#4033	—	2	1	no	—
375	#4033	—	2	1	no	—
376	#4033	C₂³	1	1	yes	characteristic
377	#4032	—	2	1	no	—
378	#4032	—	2	1	no	—
379	#4031	—	2	1	no	—
380	#4031	—	2	1	no	—
381	#4031	—	2	1	no	—
382	#4031	—	2	1	no	—
383	#4031	—	2	1	no	—
384	#4031	—	2	1	no	—
385	#4031	—	2	1	no	—
386	#4030	—	2	1	no	—
387	#4030	—	2	1	no	—
388	#4030	—	2	1	no	—
389	#4030	—	2	1	no	—
390	#4029	—	2	1	no	—
391	#4029	—	2	1	no	—
392	#4029	—	2	1	no	—
393	#4029	—	2	1	no	—
394	#4029	D₄	1	1	yes	characteristic
395	#4029	D₄	1	1	yes	characteristic
396	#4028	—	2	1	no	—
397	#4027	—	2	1	no	—
398	#4027	—	2	1	no	—
399	#4027	—	2	1	no	—
400	#4027	—	2	1	no	—
401	D₅×C₂²⋊C₄	—	2	1	no	—
402	D₅×C₂²⋊C₄	—	2	1	no	—
403	#4025	—	2	1	no	—
404	#4025	—	2	1	no	—
405	#4025	—	2	1	no	—
406	#4025	—	2	1	no	—
407	#4025	D₄	1	1	yes	characteristic
408	#4025	D₄	1	1	yes	characteristic
409	#4022	—	2	1	no	—
410	#4021	C₂³	1	1	yes	characteristic
411	C₄×D₂₀	—	2	1	no	—
412	C₄×D₂₀	—	2	1	no	—
413	C₄×D₂₀	C₂³	1	1	yes	characteristic
414	C₄×D₂₀	C₂³	1	1	yes	characteristic
415	#4018	—	2	1	no	—
416	#4018	—	2	1	no	—
417	C₄²×D₅	—	2	1	no	—
418	C₄²×D₅	C₂³	1	1	yes	characteristic
419	#4015	—	2	1	no	—
420	#4015	C₂³	1	1	yes	characteristic
421	C₄×Dic₁₀	—	2	1	no	—
422	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
423	C₅×#106	C₂³	1	1	yes	characteristic
424	C₅×C₄⋊C₈	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×#102	C₂³	1	1	yes	characteristic
431	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
432	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
433	C₅×#97	C₂³	1	1	yes	characteristic
434	#3967	C₂³	1	1	yes	characteristic
435	#3967	C₂³	1	1	yes	characteristic
436	#3967	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	#3964	C₂³	1	1	yes	characteristic
446	C₂²⋊#168	C₂³	1	1	yes	characteristic
447	C₂²⋊#168	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	#3953	C₂³	1	1	yes	characteristic
452	#3953	C₂³	1	1	yes	characteristic
453	#3953	C₂³	1	1	yes	characteristic
454	#3953	C₂³	1	1	yes	characteristic
455	#3952	C₂³	1	1	yes	characteristic
456	#3952	C₂³	1	1	yes	characteristic
457	#3950	C₂³	1	1	yes	characteristic
458	#3950	C₂³	1	1	yes	characteristic
459	#3949	C₂³	1	1	yes	characteristic
460	#3948	C₂³	1	1	yes	characteristic
461	#3948	C₂³	1	1	yes	characteristic
462	#3948	C₂³	1	1	yes	characteristic
463	#3947	C₂³	1	1	yes	characteristic
464	#3947	C₂³	1	1	yes	characteristic
465	#3946	C₂³	1	1	yes	characteristic
466	#3946	C₂³	1	1	yes	characteristic
467	#3946	C₂³	1	1	yes	characteristic
468	#3946	C₂³	1	1	yes	characteristic
469	#3946	C₂³	1	1	yes	characteristic
470	#3946	C₂³	1	1	yes	characteristic
471	#3946	C₂³	1	1	yes	characteristic
472	#3946	C₂³	1	1	yes	characteristic
473	C₈×Dic₅	C₂³	1	1	yes	characteristic
474	C₈×Dic₅	C₂³	1	1	yes	characteristic
475	#3942	C₂³	1	1	yes	characteristic
476	#3941	C₂³	1	1	yes	characteristic
477	#3941	C₂³	1	1	yes	characteristic
478	#3941	C₂³	1	1	yes	characteristic
479	#3940	C₂³	1	1	yes	characteristic
480	#3940	C₂³	1	1	yes	characteristic
481	#3939	C₂³	1	1	yes	characteristic
482	#3939	C₂³	1	1	yes	characteristic
483	C₄⋊#168	C₂³	1	1	yes	characteristic
484	#3935	C₂³	1	1	yes	characteristic
485	#3562	—	5	1	no	—
486	#3518	—	5	1	no	—
487	#3402	—	5	1	no	—
488	#3401	—	5	1	no	—
489	#3375	—	5	1	no	—
490	#3369	—	5	1	no	—
491	#3321	—	5	1	no	—
492	#3319	—	5	1	no	—
493	#3313	—	5	1	no	—
494	#3311	—	5	1	no	—
495	#3304	—	5	1	no	—
496	#3302	—	5	1	no	—
497	#3285	—	5	1	no	—
498	#3282	—	5	1	no	—
499	#3271	—	5	1	no	—
500	#3270	D₅	1	1	yes	characteristic, complemented
501	#3269	—	5	1	no	—
502	#3266	—	5	1	no	—
503	#3258	—	5	1	no	—
504	#3257	—	5	1	no	—
505	#3248	—	5	1	no	—
506	#3225	—	5	1	no	—
507	#3224	—	5	1	no	—
508	#3216	—	5	1	no	—
509	#3127	—	5	1	no	—
510	#3126	—	5	1	no	—
511	#3111	—	5	1	no	—
512	#3044	—	5	1	no	—
513	#3043	—	5	1	no	—
514	#3035	—	5	1	no	—
515	#2992	—	5	1	no	—
516	C₂³×D₅	—	2	1	no	—
517	C₅×#41	—	4	1	no	—
518	C₅×#41	—	4	1	no	—
519	C₂×C₅×Q₈	—	2	1	no	—
520	C₂×C₅×Q₈	—	2	1	no	—
521	C₂×C₅×Q₈	—	2	1	no	—
522	C₂×C₅×Q₈	—	2	2	no	—
523	C₂×C₅×Q₈	—	2	2	no	—
524	C₂×C₅×Q₈	—	4	1	no	—
525	C₂×C₅×Q₈	—	4	1	no	—
526	C₂×C₅×Q₈	—	4	1	no	—
527	C₂×C₅×Q₈	—	4	1	no	—
528	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
529	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
530	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
531	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
532	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
533	C₂×C₅×D₄	—	2	1	no	—
534	C₂×C₅×D₄	—	2	1	no	—
535	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
536	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₅	—	2	1	no	—
538	C₂²×C₄×C₅	—	2	1	no	—
539	C₂²×C₄×C₅	—	2	1	no	—
540	C₂²×C₄×C₅	—	2	1	no	—
541	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
542	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
543	C₂×C₂²⋊D₅	—	2	1	no	—
544	C₂×C₂²⋊D₅	—	2	1	no	—
545	C₂×C₂²⋊D₅	—	2	1	no	—
546	C₂×C₂²⋊D₅	—	2	1	no	—
547	C₂×C₂²⋊D₅	—	2	1	no	—
548	C₂×C₂²⋊D₅	—	2	1	no	—
549	C₂×C₂²⋊D₅	—	2	1	no	—
550	C₂×C₂²⋊D₅	—	2	1	no	—
551	C₂×C₂²⋊D₅	—	2	1	no	—
552	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
553	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
554	C₂²×Dic₅	—	2	1	no	—
555	C₂²×Dic₅	—	2	1	no	—
556	#713	—	2	2	no	—
557	#713	—	4	1	no	—
558	#713	—	4	1	no	—
559	#713	—	4	1	no	—
560	#711	—	4	1	no	—
561	#711	—	4	1	no	—
562	#709	—	4	1	no	—
563	#709	—	4	1	no	—
564	C₂×D₂₀	—	2	1	no	—
565	C₂×D₂₀	—	2	1	no	—
566	C₂×D₂₀	—	2	1	no	—
567	C₂×D₂₀	—	2	1	no	—
568	C₂×D₂₀	—	4	1	no	—
569	C₂×D₂₀	—	4	1	no	—
570	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
571	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
572	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
573	C₂×C₄×D₅	—	2	1	no	—
574	C₂×C₄×D₅	—	2	1	no	—
575	C₂×C₄×D₅	—	2	1	no	—
576	C₂×C₄×D₅	—	2	1	no	—
577	C₂×C₄×D₅	—	2	1	no	—
578	C₂×C₄×D₅	—	2	1	no	—
579	C₂×C₄×D₅	—	2	1	no	—
580	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
581	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
582	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
583	C₂×Dic₁₀	—	2	1	no	—
584	C₂×Dic₁₀	—	2	1	no	—
585	C₂×Dic₁₀	—	2	1	no	—
586	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
587	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
588	C₅×Q₁₆	—	2	2	no	—
589	C₅×Q₁₆	—	2	2	no	—
590	C₅×Q₁₆	—	4	1	no	—
591	C₅×Q₁₆	—	4	1	no	—
592	C₅×Q₁₆	—	4	1	no	—
593	C₅×Q₁₆	—	4	1	no	—
594	C₅×SD₁₆	—	2	2	no	—
595	C₅×SD₁₆	—	4	1	no	—
596	C₅×SD₁₆	—	4	1	no	—
597	C₅×M₁₆	—	4	1	no	—
598	C₂×C₅×C₈	—	4	1	no	—
599	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
600	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
601	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
602	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
603	C₅×C₄⋊C₄	—	2	1	no	—
604	C₅×C₄⋊C₄	—	2	1	no	—
605	C₅×C₄⋊C₄	—	2	1	no	—
606	C₅×C₄⋊C₄	—	2	1	no	—
607	C₅×C₄⋊C₄	—	2	1	no	—
608	C₅×C₄⋊C₄	—	2	1	no	—
609	C₅×C₄⋊C₄	—	2	1	no	—
610	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
611	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
612	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
613	C₅×C₂²⋊C₄	—	2	1	no	—
614	C₅×C₂²⋊C₄	—	2	1	no	—
615	C₅×C₂²⋊C₄	—	2	1	no	—
616	C₅×C₂²⋊C₄	—	2	1	no	—
617	C₅×C₂²⋊C₄	—	2	1	no	—
618	C₅×C₂²⋊C₄	—	2	1	no	—
619	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
620	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
621	C₄²×C₅	—	2	1	no	—
622	C₄²×C₅	—	2	1	no	—
623	C₄²×C₅	C₂⁴	1	1	yes	characteristic
624	C₂²⋊Dic₅	—	2	1	no	—
625	C₂²⋊Dic₅	—	2	1	no	—
626	C₂²⋊Dic₅	—	2	1	no	—
627	C₂²⋊Dic₅	—	2	1	no	—
628	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
629	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
630	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
631	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
632	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
633	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
634	#689	—	2	2	no	—
635	#689	—	4	1	no	—
636	#689	—	4	1	no	—
637	#688	—	2	2	no	—
638	#688	—	2	2	no	—
639	#688	—	4	1	no	—
640	#688	—	4	1	no	—
641	#688	—	4	1	no	—
642	#688	—	4	1	no	—
643	#688	—	4	1	no	—
644	#688	—	4	1	no	—
645	#686	—	4	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	—	2	1	no	—
658	#685	—	2	1	no	—
659	#685	—	2	1	no	—
660	#685	—	2	1	no	—
661	#685	—	2	1	no	—
662	#685	—	2	1	no	—
663	#685	—	2	1	no	—
664	#685	—	2	1	no	—
665	#685	—	2	1	no	—
666	#685	—	2	1	no	—
667	#685	—	2	1	no	—
668	#685	—	2	1	no	—
669	#685	—	2	1	no	—
670	#685	C₂×D₄	1	1	yes	characteristic
671	#685	C₂×D₄	1	1	yes	characteristic
672	C₄⋊Dic₅	—	2	1	no	—
673	C₄⋊Dic₅	—	2	1	no	—
674	C₄⋊Dic₅	—	2	1	no	—
675	C₄⋊Dic₅	—	2	1	no	—
676	C₄⋊Dic₅	—	2	1	no	—
677	C₄⋊Dic₅	—	2	1	no	—
678	C₄⋊Dic₅	—	2	1	no	—
679	C₄⋊Dic₅	—	2	1	no	—
680	C₄⋊Dic₅	—	2	1	no	—
681	C₄⋊Dic₅	—	2	1	no	—
682	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
683	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
684	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
685	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
686	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
687	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
688	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
689	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
690	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
691	#683	—	2	1	no	—
692	#683	—	2	1	no	—
693	#683	—	2	1	no	—
694	#683	—	2	1	no	—
695	#683	—	2	1	no	—
696	#683	—	2	1	no	—
697	#683	—	2	1	no	—
698	#683	—	2	1	no	—
699	#683	—	2	1	no	—
700	#683	—	2	1	no	—
701	#683	—	2	1	no	—
702	#683	—	2	1	no	—
703	#683	C₂×D₄	1	1	yes	characteristic
704	#683	C₂×D₄	1	1	yes	characteristic
705	#683	C₂×D₄	1	1	yes	characteristic
706	#683	C₂×D₄	1	1	yes	characteristic
707	C₄×Dic₅	—	2	1	no	—
708	C₄×Dic₅	—	2	1	no	—
709	C₄×Dic₅	—	2	1	no	—
710	C₄×Dic₅	—	2	1	no	—
711	C₄×Dic₅	—	2	1	no	—
712	C₄×Dic₅	—	2	1	no	—
713	C₄×Dic₅	—	2	1	no	—
714	C₄×Dic₅	—	2	1	no	—
715	C₄×Dic₅	—	2	1	no	—
716	C₄×Dic₅	—	2	1	no	—
717	C₄×Dic₅	—	2	1	no	—
718	C₄×Dic₅	—	2	1	no	—
719	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
720	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
721	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
722	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
723	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
724	#681	—	4	1	no	—
725	C₂×#168	—	4	1	no	—
726	C₂×#168	C₂⁴	1	1	yes	characteristic
727	C₂×#168	C₂⁴	1	1	yes	characteristic
728	C₂×#168	C₂⁴	1	1	yes	characteristic
729	C₂×#168	C₂⁴	1	1	yes	characteristic
730	D₄₀	—	4	1	no	—
731	D₄₀	—	4	1	no	—
732	#677	—	4	1	no	—
733	C₈×D₅	—	4	1	no	—
734	C₈×D₅	—	4	1	no	—
735	C₂×#137	—	5	1	no	—
736	C₂×#137	C₂×D₅	1	1	yes	characteristic
737	C₂×#135	—	5	1	no	—
738	C₂×#135	—	5	1	no	—
739	C₂²×Q₁₆	C₂×D₅	1	1	yes	characteristic, complemented
740	C₂²×SD₁₆	—	5	1	no	—
741	#562	—	10	1	no	—
742	#560	—	10	1	no	—
743	#559	—	5	1	no	—
744	Q₈²	—	5	1	no	—
745	#556	—	5	1	no	—
746	#556	—	5	1	no	—
747	#556	—	5	1	no	—
748	#556	—	5	1	no	—
749	#556	—	10	1	no	—
750	#556	—	10	1	no	—
751	#556	—	10	1	no	—
752	#555	—	5	1	no	—
753	#555	—	10	1	no	—
754	#553	—	10	1	no	—
755	#551	—	10	1	no	—
756	#550	—	5	1	no	—
757	D₄×Q₈	C₂×D₅	1	1	yes	characteristic
758	#548	—	5	1	no	—
759	#548	—	5	1	no	—
760	#548	—	5	1	no	—
761	#548	C₂×D₅	1	1	yes	characteristic
762	#547	—	5	1	no	—
763	#546	—	5	1	no	—
764	#546	—	5	1	no	—
765	#542	—	5	1	no	—
766	#542	—	5	1	no	—
767	#542	—	10	1	no	—
768	#542	—	10	1	no	—
769	#541	—	5	1	no	—
770	#540	—	5	1	no	—
771	#540	—	10	1	no	—
772	#539	—	10	1	no	—
773	#538	—	10	1	no	—
774	#538	—	10	1	no	—
775	#536	—	5	1	no	—
776	#535	—	5	1	no	—
777	#533	—	5	1	no	—
778	#533	—	10	1	no	—
779	#532	—	5	1	no	—
780	#529	—	5	1	no	—
781	#529	—	5	1	no	—
782	#529	—	10	1	no	—
783	#519	—	5	1	no	—
784	#519	—	5	1	no	—
785	C₄×#41	—	5	1	no	—
786	#497	—	5	1	no	—
787	#497	—	5	1	no	—
788	#497	C₂×D₅	1	1	yes	characteristic, complemented
789	#496	—	5	1	no	—
790	#495	—	5	1	no	—
791	#495	—	5	1	no	—
792	#489	—	5	1	no	—
793	#489	—	5	1	no	—
794	#489	—	5	1	no	—
795	#489	—	5	1	no	—
796	#487	—	5	1	no	—
797	#486	—	5	1	no	—
798	#485	—	5	1	no	—
799	#485	—	5	1	no	—
800	#485	—	5	1	no	—
801	#482	—	5	1	no	—
802	#482	—	5	1	no	—
803	#482	—	5	1	no	—
804	#479	—	5	1	no	—
805	#479	—	5	1	no	—
806	#479	—	5	1	no	—
807	#478	—	5	1	no	—
808	#477	—	5	1	no	—
809	#476	—	5	1	no	—
810	#475	—	5	1	no	—
811	#475	—	5	1	no	—
812	#474	—	5	1	no	—
813	#474	—	5	1	no	—
814	#470	C₂×D₅	1	1	yes	characteristic
815	#469	—	5	1	no	—
816	#468	—	5	1	no	—
817	#468	—	5	1	no	—
818	#467	—	5	1	no	—
819	#467	—	5	1	no	—
820	#467	—	5	1	no	—
821	#466	—	5	1	no	—
822	#465	—	5	1	no	—
823	#465	—	5	1	no	—
824	#465	—	5	1	no	—
825	#465	C₂×D₅	1	1	yes	characteristic, complemented
826	#464	—	5	1	no	—
827	#464	—	5	1	no	—
828	#464	—	5	1	no	—
829	#464	—	5	1	no	—
830	#464	—	5	1	no	—
831	#464	—	5	1	no	—
832	#464	—	5	1	no	—
833	#464	—	5	1	no	—
834	#464	—	5	1	no	—
835	#464	—	5	1	no	—
836	#464	C₂×D₅	1	1	yes	characteristic, complemented
837	#463	—	5	1	no	—
838	#463	—	5	1	no	—
839	#463	—	5	1	no	—
840	#463	—	5	1	no	—
841	#463	—	5	1	no	—
842	#462	—	5	1	no	—
843	#462	—	5	1	no	—
844	#462	—	5	1	no	—
845	#462	—	5	1	no	—
846	#462	—	5	1	no	—
847	#462	C₂×D₅	1	1	yes	characteristic, complemented
848	#461	—	5	1	no	—
849	#461	—	5	1	no	—
850	#460	—	5	1	no	—
851	#460	—	5	1	no	—
852	#460	—	5	1	no	—
853	#460	—	5	1	no	—
854	#460	—	5	1	no	—
855	#459	—	5	1	no	—
856	#452	—	5	1	no	—
857	#452	—	5	1	no	—
858	#452	—	5	1	no	—
859	#452	—	5	1	no	—
860	#452	—	5	1	no	—
861	#452	—	5	1	no	—
862	#452	C₂×D₅	1	1	yes	characteristic
863	#451	—	5	1	no	—
864	#451	C₂×D₅	1	1	yes	characteristic
865	#451	C₂×D₅	1	1	yes	characteristic, complemented
866	#450	—	5	1	no	—
867	#449	—	5	1	no	—
868	#449	—	5	1	no	—
869	#449	—	5	1	no	—
870	#448	—	5	1	no	—
871	#448	—	5	1	no	—
872	#448	C₂×D₅	1	1	yes	characteristic, complemented
873	#447	—	5	1	no	—
874	#446	—	5	1	no	—
875	#446	—	5	1	no	—
876	#442	—	5	1	no	—
877	#441	—	5	1	no	—
878	#441	—	5	1	no	—
879	#441	C₂×D₅	1	1	yes	characteristic, complemented
880	#440	—	5	1	no	—
881	#440	—	5	1	no	—
882	#440	—	5	1	no	—
883	#440	—	5	1	no	—
884	C₄×Q₁₆	—	5	1	no	—
885	C₄×Q₁₆	—	5	1	no	—
886	C₄×SD₁₆	—	5	1	no	—
887	C₄×SD₁₆	—	5	1	no	—
888	#435	—	5	1	no	—
889	#435	—	5	1	no	—
890	#435	—	5	1	no	—
891	#435	C₂×D₅	1	1	yes	characteristic
892	C₈×D₄	—	5	1	no	—
893	C₈×D₄	—	5	1	no	—
894	#433	—	5	1	no	—
895	#433	—	5	1	no	—
896	#432	—	5	1	no	—
897	#424	—	5	1	no	—
898	#424	—	5	1	no	—
899	C₂×C₄⋊C₈	—	5	1	no	—
900	#419	—	5	1	no	—
901	#418	—	5	1	no	—
902	#416	—	5	1	no	—
903	#416	—	5	1	no	—
904	#416	—	5	1	no	—
905	#416	—	5	1	no	—
906	C₂³×C₅	—	2	1	no	—
907	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
908	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
909	C₂²×D₅	—	2	1	no	—
910	C₂²×D₅	—	2	1	no	—
911	C₂²×D₅	—	2	1	no	—
912	C₂²×D₅	—	8	1	no	—
913	C₂²×D₅	—	8	1	no	—
914	C₂²×D₅	—	8	1	no	—
915	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
916	C₅×Q₈	—	2	1	no	—
917	C₅×Q₈	—	2	1	no	—
918	C₅×Q₈	—	2	1	no	—
919	C₅×Q₈	—	2	1	no	—
920	C₅×Q₈	—	2	1	no	—
921	C₅×Q₈	—	2	1	no	—
922	C₅×Q₈	—	2	1	no	—
923	C₅×Q₈	—	2	1	no	—
924	C₅×Q₈	—	2	1	no	—
925	C₅×Q₈	—	4	2	no	—
926	C₅×Q₈	—	4	2	no	—
927	C₅×Q₈	—	8	1	no	—
928	C₅×Q₈	H(5,𝔽₂)	1	2	yes	—
929	C₅×D₄	—	2	1	no	—
930	C₅×D₄	—	2	1	no	—
931	C₅×D₄	—	4	1	no	—
932	C₅×D₄	—	8	1	no	—
933	C₅×D₄	—	8	1	no	—
934	C₂×C₄×C₅	—	2	1	no	—
935	C₂×C₄×C₅	—	2	1	no	—
936	C₂×C₄×C₅	—	2	1	no	—
937	C₂×C₄×C₅	—	2	1	no	—
938	C₂×C₄×C₅	—	2	1	no	—
939	C₂×C₄×C₅	—	2	1	no	—
940	C₂×C₄×C₅	—	2	1	no	—
941	C₂×C₄×C₅	—	2	1	no	—
942	C₂×C₄×C₅	—	2	1	no	—
943	C₂×C₄×C₅	—	2	1	no	—
944	C₂×C₄×C₅	—	2	1	no	—
945	C₂×C₄×C₅	—	4	2	no	—
946	C₂×C₄×C₅	—	4	2	no	—
947	C₂×C₄×C₅	—	8	1	no	—
948	C₂×C₄×C₅	—	8	1	no	—
949	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
950	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
951	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
952	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
953	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
954	C₂²⋊D₅	—	4	1	no	—
955	C₂²⋊D₅	—	4	1	no	—
956	C₂²⋊D₅	—	8	1	no	—
957	C₂²⋊D₅	—	8	1	no	—
958	C₂²⋊D₅	—	8	1	no	—
959	C₂²⋊D₅	—	8	1	no	—
960	C₂²⋊D₅	—	8	1	no	—
961	C₂²⋊D₅	—	8	1	no	—
962	C₂²⋊D₅	—	8	1	no	—
963	C₂²⋊D₅	—	8	1	no	—
964	C₂²⋊D₅	—	8	1	no	—
965	C₂×Dic₅	—	2	1	no	—
966	C₂×Dic₅	—	2	1	no	—
967	C₂×Dic₅	—	2	1	no	—
968	C₂×Dic₅	—	2	1	no	—
969	C₂×Dic₅	—	2	1	no	—
970	C₂×Dic₅	—	8	1	no	—
971	C₂×Dic₅	—	8	1	no	—
972	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
973	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
974	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
975	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
976	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
977	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
978	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
979	D₂₀	—	2	1	no	—
980	D₂₀	—	2	1	no	—
981	D₂₀	—	2	1	no	—
982	D₂₀	—	2	1	no	—
983	D₂₀	—	2	1	no	—
984	D₂₀	—	2	1	no	—
985	D₂₀	—	4	2	no	—
986	D₂₀	—	8	1	no	—
987	D₂₀	—	8	1	no	—
988	D₂₀	—	8	1	no	—
989	C₄×D₅	—	2	1	no	—
990	C₄×D₅	—	2	1	no	—
991	C₄×D₅	—	4	1	no	—
992	C₄×D₅	—	4	1	no	—
993	C₄×D₅	—	4	2	no	—
994	C₄×D₅	—	4	2	no	—
995	C₄×D₅	—	8	1	no	—
996	C₄×D₅	—	8	1	no	—
997	C₄×D₅	—	8	1	no	—
998	C₄×D₅	—	8	1	no	—
999	C₄×D₅	—	8	1	no	—
1000	Dic₁₀	—	2	1	no	—
1001	Dic₁₀	—	2	1	no	—
1002	Dic₁₀	—	4	1	no	—
1003	Dic₁₀	—	8	1	no	—
1004	Dic₁₀	—	8	1	no	—
1005	Dic₁₀	—	8	1	no	—
1006	C₅×C₈	—	2	1	no	—
1007	C₅×C₈	—	2	1	no	—
1008	C₅×C₈	—	2	1	no	—
1009	C₅×C₈	—	2	1	no	—
1010	#168	—	2	1	no	—
1011	#168	—	2	1	no	—
1012	#168	—	2	1	no	—
1013	#168	—	2	1	no	—
1014	C₂×#41	—	5	1	no	—
1015	C₂×#41	—	5	1	no	—
1016	C₂×#41	—	5	1	no	—
1017	C₂×#41	—	5	1	no	—
1018	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1019	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1020	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1021	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1022	C₂²×D₄	—	5	1	no	—
1023	#137	—	4	2	no	—
1024	#137	—	20	2	no	—
1025	#135	—	20	2	no	—
1026	#135	—	20	2	no	—
1027	C₂×Q₁₆	—	4	2	no	—
1028	C₂×Q₁₆	—	5	1	no	—
1029	C₂×Q₁₆	—	5	1	no	—
1030	C₂×Q₁₆	—	5	1	no	—
1031	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1032	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1033	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1034	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1035	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1036	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1037	C₂×SD₁₆	—	5	1	no	—
1038	C₂×SD₁₆	—	5	1	no	—
1039	C₂×SD₁₆	—	5	1	no	—
1040	C₂×SD₁₆	—	5	1	no	—
1041	C₂×SD₁₆	—	5	1	no	—
1042	C₂×SD₁₆	—	5	1	no	—
1043	C₂×SD₁₆	—	5	1	no	—
1044	C₂×SD₁₆	—	5	1	no	—
1045	C₂×SD₁₆	—	5	1	no	—
1046	C₂×SD₁₆	—	20	2	no	—
1047	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1048	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1049	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1050	C₂×D₈	—	5	1	no	—
1051	C₂×D₈	—	5	1	no	—
1052	C₂×D₈	—	5	1	no	—
1053	C₂×M₁₆	—	5	1	no	—
1054	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1055	C₂²×C₈	—	5	1	no	—
1056	C₂²×C₈	—	5	1	no	—
1057	C₂²×C₈	—	5	1	no	—
1058	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1059	C₄⋊Q₈	—	2	1	no	—
1060	C₄⋊Q₈	—	5	1	no	—
1061	C₄⋊Q₈	—	5	1	no	—
1062	C₄⋊Q₈	—	5	1	no	—
1063	C₄⋊Q₈	—	5	1	no	—
1064	C₄⋊Q₈	—	5	1	no	—
1065	C₄⋊Q₈	—	10	1	no	—
1066	C₄⋊Q₈	—	10	1	no	—
1067	C₄⋊Q₈	—	10	1	no	—
1068	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1069	#127	—	5	1	no	—
1070	#127	—	5	1	no	—
1071	#127	—	10	1	no	—
1072	#126	—	5	1	no	—
1073	#126	—	5	1	no	—
1074	#126	—	10	1	no	—
1075	#126	—	10	1	no	—
1076	#126	—	10	1	no	—
1077	#126	—	10	1	no	—
1078	#126	—	10	1	no	—
1079	#126	—	10	1	no	—
1080	#126	—	10	1	no	—
1081	#126	—	10	1	no	—
1082	#126	—	10	1	no	—
1083	#126	—	10	1	no	—
1084	#126	—	10	1	no	—
1085	#126	—	10	1	no	—
1086	#126	—	10	1	no	—
1087	#125	—	5	1	no	—
1088	#125	—	5	1	no	—
1089	#125	—	10	1	no	—
1090	#125	—	10	1	no	—
1091	#125	—	10	1	no	—
1092	#124	—	2	1	no	—
1093	#124	—	5	1	no	—
1094	#124	—	5	1	no	—
1095	#124	—	5	1	no	—
1096	#124	—	5	1	no	—
1097	#124	—	5	1	no	—
1098	#124	—	5	1	no	—
1099	#124	—	5	1	no	—
1100	#124	—	10	1	no	—
1101	#124	—	10	1	no	—
1102	#124	—	10	1	no	—
1103	#124	—	10	1	no	—
1104	#124	—	10	1	no	—
1105	#124	—	10	1	no	—
1106	#124	—	10	1	no	—
1107	#124	—	10	1	no	—
1108	#124	—	10	1	no	—
1109	#124	—	10	1	no	—
1110	#124	C₂²×D₅	1	1	yes	characteristic
1111	#123	—	5	1	no	—
1112	#123	—	5	1	no	—
1113	#123	—	10	1	no	—
1114	#123	—	10	1	no	—
1115	#123	—	10	1	no	—
1116	#123	—	10	1	no	—
1117	#123	—	10	1	no	—
1118	#123	—	10	1	no	—
1119	#123	—	10	1	no	—
1120	#123	—	10	1	no	—
1121	#123	—	10	1	no	—
1122	#123	—	10	1	no	—
1123	#123	—	10	1	no	—
1124	#123	—	10	1	no	—
1125	#123	—	10	1	no	—
1126	C₂²⋊Q₈	—	2	1	no	—
1127	C₂²⋊Q₈	—	2	1	no	—
1128	C₂²⋊Q₈	—	2	1	no	—
1129	C₂²⋊Q₈	—	5	1	no	—
1130	C₂²⋊Q₈	—	5	1	no	—
1131	C₂²⋊Q₈	—	5	1	no	—
1132	C₂²⋊Q₈	—	5	1	no	—
1133	C₂²⋊Q₈	—	5	1	no	—
1134	C₂²⋊Q₈	—	10	1	no	—
1135	C₂²⋊Q₈	—	10	1	no	—
1136	C₂²⋊Q₈	—	10	1	no	—
1137	C₂²⋊Q₈	—	10	1	no	—
1138	C₂²⋊Q₈	—	10	1	no	—
1139	C₂²⋊Q₈	—	10	1	no	—
1140	C₂²⋊Q₈	—	10	1	no	—
1141	C₂²⋊Q₈	—	10	1	no	—
1142	C₂²⋊Q₈	—	10	1	no	—
1143	C₂²⋊Q₈	—	10	1	no	—
1144	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1145	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1146	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1147	#121	—	2	1	no	—
1148	#121	—	5	1	no	—
1149	#121	—	5	1	no	—
1150	#121	—	5	1	no	—
1151	#121	—	5	1	no	—
1152	#121	—	5	1	no	—
1153	#121	—	10	1	no	—
1154	#121	—	10	1	no	—
1155	#121	—	10	1	no	—
1156	#121	—	10	1	no	—
1157	#121	—	10	1	no	—
1158	#121	—	10	1	no	—
1159	#121	—	10	1	no	—
1160	#121	—	10	1	no	—
1161	#121	—	10	1	no	—
1162	#121	—	10	1	no	—
1163	#121	—	10	1	no	—
1164	#121	—	10	1	no	—
1165	#121	—	10	1	no	—
1166	#121	—	10	1	no	—
1167	#121	—	10	1	no	—
1168	#121	C₂²×D₅	1	1	yes	characteristic
1169	#120	—	10	1	no	—
1170	#120	—	10	1	no	—
1171	#120	—	10	1	no	—
1172	#120	—	10	1	no	—
1173	C₄×Q₈	—	5	1	no	—
1174	C₄×Q₈	—	5	1	no	—
1175	C₄×Q₈	—	5	1	no	—
1176	C₄×Q₈	—	5	1	no	—
1177	C₄×Q₈	—	5	1	no	—
1178	C₄×Q₈	—	5	1	no	—
1179	C₄×Q₈	—	5	1	no	—
1180	C₄×Q₈	—	5	1	no	—
1181	C₄×Q₈	—	5	1	no	—
1182	C₄×Q₈	—	5	1	no	—
1183	C₄×Q₈	—	10	1	no	—
1184	C₄×Q₈	—	10	1	no	—
1185	C₄×Q₈	—	10	1	no	—
1186	C₄×Q₈	—	10	1	no	—
1187	C₄×Q₈	—	10	1	no	—
1188	C₄×Q₈	—	10	1	no	—
1189	C₄×Q₈	—	10	1	no	—
1190	C₄×Q₈	—	10	1	no	—
1191	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1192	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1193	C₄×D₄	—	2	1	no	—
1194	C₄×D₄	—	2	1	no	—
1195	C₄×D₄	—	5	1	no	—
1196	C₄×D₄	—	5	1	no	—
1197	C₄×D₄	—	5	1	no	—
1198	C₄×D₄	—	5	1	no	—
1199	C₄×D₄	—	5	1	no	—
1200	C₄×D₄	—	5	1	no	—
1201	C₄×D₄	—	5	1	no	—
1202	C₄×D₄	—	10	1	no	—
1203	C₄×D₄	—	10	1	no	—
1204	C₄×D₄	—	10	1	no	—
1205	C₄×D₄	—	10	1	no	—
1206	C₄×D₄	—	10	1	no	—
1207	C₄×D₄	—	10	1	no	—
1208	C₄×D₄	—	10	1	no	—
1209	C₄×D₄	—	10	1	no	—
1210	C₄×D₄	—	10	1	no	—
1211	C₄×D₄	—	10	1	no	—
1212	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1213	#117	—	5	1	no	—
1214	#117	—	5	1	no	—
1215	#117	—	5	1	no	—
1216	#117	—	5	1	no	—
1217	#117	—	5	1	no	—
1218	#117	—	10	1	no	—
1219	#117	—	10	1	no	—
1220	#117	—	10	1	no	—
1221	#117	—	10	1	no	—
1222	#117	—	10	1	no	—
1223	#117	—	10	1	no	—
1224	#117	—	10	1	no	—
1225	#117	—	10	1	no	—
1226	#117	—	10	1	no	—
1227	#117	—	10	1	no	—
1228	C₂×C₄⋊C₄	—	10	1	no	—
1229	C₂×C₂²⋊C₄	—	10	1	no	—
1230	C₂×C₂²⋊C₄	—	10	1	no	—
1231	C₂×C₄²	—	5	1	no	—
1232	C₂×C₄²	—	10	1	no	—
1233	#107	—	5	1	no	—
1234	#107	—	5	1	no	—
1235	#107	—	5	1	no	—
1236	#107	—	5	1	no	—
1237	#106	—	5	1	no	—
1238	#106	—	5	1	no	—
1239	#106	—	5	1	no	—
1240	#106	C₂²×D₅	1	1	yes	characteristic
1241	C₄⋊C₈	—	5	1	no	—
1242	C₄⋊C₈	—	5	1	no	—
1243	C₄⋊C₈	—	5	1	no	—
1244	C₄⋊C₈	—	5	1	no	—
1245	C₄⋊C₈	—	5	1	no	—
1246	C₄⋊C₈	—	5	1	no	—
1247	C₄⋊C₈	—	5	1	no	—
1248	C₄⋊C₈	—	5	1	no	—
1249	C₄⋊C₈	—	5	1	no	—
1250	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1251	#103	—	5	1	no	—
1252	#103	—	5	1	no	—
1253	#103	—	5	1	no	—
1254	#103	—	5	1	no	—
1255	#103	—	5	1	no	—
1256	#103	—	5	1	no	—
1257	#103	—	5	1	no	—
1258	#103	—	5	1	no	—
1259	#103	—	5	1	no	—
1260	#103	—	5	1	no	—
1261	#103	—	5	1	no	—
1262	#103	—	5	1	no	—
1263	#103	—	5	1	no	—
1264	#103	C₂²×D₅	1	1	yes	characteristic
1265	#103	C₂²×D₅	1	1	yes	characteristic
1266	#103	C₂²×D₅	1	1	yes	characteristic
1267	#103	C₂²×D₅	1	1	yes	characteristic
1268	#103	C₂²×D₅	1	1	yes	characteristic
1269	#102	—	5	1	no	—
1270	#102	—	5	1	no	—
1271	#102	—	5	1	no	—
1272	#102	—	5	1	no	—
1273	#102	—	5	1	no	—
1274	#102	—	5	1	no	—
1275	#102	—	5	1	no	—
1276	#102	—	5	1	no	—
1277	#102	—	5	1	no	—
1278	#102	—	5	1	no	—
1279	#102	—	5	1	no	—
1280	#102	—	5	1	no	—
1281	#102	—	5	1	no	—
1282	#102	C₂²×D₅	1	1	yes	characteristic
1283	C₂²⋊C₈	—	5	1	no	—
1284	C₂²⋊C₈	—	5	1	no	—
1285	C₂²⋊C₈	—	5	1	no	—
1286	C₂²⋊C₈	—	5	1	no	—
1287	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1288	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1289	#97	—	5	1	no	—
1290	#97	—	5	1	no	—
1291	#97	—	5	1	no	—
1292	#97	C₂²×D₅	1	1	yes	characteristic
1293	C₄×C₈	—	5	1	no	—
1294	C₄×C₈	—	5	1	no	—
1295	C₂²×C₅	—	2	1	no	—
1296	C₂²×C₅	—	2	1	no	—
1297	C₂²×C₅	—	2	1	no	—
1298	C₂²×C₅	—	2	1	no	—
1299	C₂²×C₅	—	2	1	no	—
1300	C₂²×C₅	—	2	1	no	—
1301	C₂²×C₅	—	4	1	no	—
1302	C₂²×C₅	—	4	1	no	—
1303	C₂²×C₅	—	4	1	no	—
1304	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1305	C₂×D₅	—	2	1	no	—
1306	C₂×D₅	—	2	1	no	—
1307	C₂×D₅	—	2	1	no	—
1308	C₂×D₅	—	4	1	no	—
1309	C₂×D₅	—	4	1	no	—
1310	C₂×D₅	—	4	1	no	—
1311	C₂×D₅	—	4	1	no	—
1312	C₂×D₅	—	4	1	no	—
1313	C₂×D₅	—	4	1	no	—
1314	C₂×D₅	—	4	1	no	—
1315	C₂×D₅	—	4	1	no	—
1316	C₂×D₅	—	4	1	no	—
1317	C₂×D₅	—	16	2	no	—
1318	C₄×C₅	—	2	1	no	—
1319	C₄×C₅	—	2	1	no	—
1320	C₄×C₅	—	2	2	no	—
1321	C₄×C₅	—	2	1	no	—
1322	C₄×C₅	—	2	1	no	—
1323	C₄×C₅	—	4	1	no	—
1324	C₄×C₅	—	4	1	no	—
1325	C₄×C₅	—	4	1	no	—
1326	C₄×C₅	—	4	1	no	—
1327	C₄×C₅	—	4	1	no	—
1328	C₄×C₅	—	4	1	no	—
1329	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1330	C₄×C₅	#585	1	1	yes	characteristic
1331	Dic₅	—	2	1	no	—
1332	Dic₅	—	2	1	no	—
1333	Dic₅	—	2	1	no	—
1334	Dic₅	—	2	1	no	—
1335	Dic₅	—	2	1	no	—
1336	Dic₅	—	2	1	no	—
1337	Dic₅	—	2	1	no	—
1338	Dic₅	—	4	1	no	—
1339	Dic₅	—	4	1	no	—
1340	Dic₅	—	4	1	no	—
1341	Dic₅	—	4	1	no	—
1342	Dic₅	—	4	1	no	—
1343	C₂⁴	—	10	1	no	—
1344	#41	—	4	1	no	—
1345	#41	—	4	1	no	—
1346	#41	—	10	2	no	—
1347	#41	—	20	1	no	—
1348	#41	—	20	1	no	—
1349	#41	—	20	1	no	—
1350	#41	—	20	1	no	—
1351	#41	—	20	1	no	—
1352	#41	—	20	1	no	—
1353	#41	—	20	1	no	—
1354	C₂×Q₈	—	2	1	no	—
1355	C₂×Q₈	—	2	1	no	—
1356	C₂×Q₈	—	2	1	no	—
1357	C₂×Q₈	—	2	2	no	—
1358	C₂×Q₈	—	2	2	no	—
1359	C₂×Q₈	—	4	1	no	—
1360	C₂×Q₈	—	4	1	no	—
1361	C₂×Q₈	—	4	1	no	—
1362	C₂×Q₈	—	4	1	no	—
1363	C₂×Q₈	—	5	1	no	—
1364	C₂×Q₈	—	5	1	no	—
1365	C₂×Q₈	—	10	1	no	—
1366	C₂×Q₈	—	10	1	no	—
1367	C₂×Q₈	—	10	1	no	—
1368	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1369	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1370	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1371	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1372	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	2	1	no	—
1375	C₂×D₄	—	5	1	no	—
1376	C₂×D₄	—	5	1	no	—
1377	C₂×D₄	—	5	1	no	—
1378	C₂×D₄	—	5	1	no	—
1379	C₂×D₄	—	5	1	no	—
1380	C₂×D₄	—	10	1	no	—
1381	C₂×D₄	—	10	1	no	—
1382	C₂×D₄	—	10	1	no	—
1383	C₂×D₄	—	10	1	no	—
1384	C₂×D₄	—	10	1	no	—
1385	C₂×D₄	—	10	1	no	—
1386	C₂×D₄	—	10	1	no	—
1387	C₂×D₄	—	10	1	no	—
1388	C₂×D₄	—	10	1	no	—
1389	C₂×D₄	—	10	1	no	—
1390	C₂×D₄	—	10	1	no	—
1391	C₂×D₄	—	10	1	no	—
1392	C₂×D₄	—	10	1	no	—
1393	C₂×D₄	—	20	1	no	—
1394	C₂×D₄	—	20	1	no	—
1395	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1396	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1397	C₂²×C₄	—	2	1	no	—
1398	C₂²×C₄	—	2	1	no	—
1399	C₂²×C₄	—	2	1	no	—
1400	C₂²×C₄	—	2	1	no	—
1401	C₂²×C₄	—	5	1	no	—
1402	C₂²×C₄	—	5	1	no	—
1403	C₂²×C₄	—	5	1	no	—
1404	C₂²×C₄	—	10	1	no	—
1405	C₂²×C₄	—	10	1	no	—
1406	C₂²×C₄	—	10	1	no	—
1407	C₂²×C₄	—	10	1	no	—
1408	C₂²×C₄	—	10	1	no	—
1409	C₂²×C₄	—	10	1	no	—
1410	C₂²×C₄	—	10	1	no	—
1411	C₂²×C₄	—	10	1	no	—
1412	C₂²×C₄	—	10	1	no	—
1413	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1414	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1415	Q₁₆	—	2	2	no	—
1416	Q₁₆	—	2	2	no	—
1417	Q₁₆	—	4	1	no	—
1418	Q₁₆	—	4	1	no	—
1419	Q₁₆	—	4	1	no	—
1420	Q₁₆	—	4	1	no	—
1421	Q₁₆	—	10	2	no	—
1422	Q₁₆	—	20	1	no	—
1423	Q₁₆	—	20	1	no	—
1424	SD₁₆	—	2	2	no	—
1425	SD₁₆	—	4	1	no	—
1426	SD₁₆	—	4	1	no	—
1427	SD₁₆	—	10	2	no	—
1428	SD₁₆	—	10	2	no	—
1429	SD₁₆	—	20	1	no	—
1430	SD₁₆	—	20	1	no	—
1431	SD₁₆	—	20	1	no	—
1432	SD₁₆	—	20	1	no	—
1433	SD₁₆	—	20	1	no	—
1434	SD₁₆	—	20	1	no	—
1435	SD₁₆	—	20	1	no	—
1436	D₈	—	20	1	no	—
1437	D₈	—	20	1	no	—
1438	D₈	—	20	1	no	—
1439	M₁₆	—	4	1	no	—
1440	M₁₆	—	20	1	no	—
1441	C₂×C₈	—	4	1	no	—
1442	C₂×C₈	—	5	1	no	—
1443	C₂×C₈	—	5	1	no	—
1444	C₂×C₈	—	5	1	no	—
1445	C₂×C₈	—	5	1	no	—
1446	C₂×C₈	—	20	1	no	—
1447	C₂×C₈	—	20	1	no	—
1448	C₂×C₈	—	20	1	no	—
1449	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1450	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1451	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1452	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	5	1	no	—
1461	C₄⋊C₄	—	5	1	no	—
1462	C₄⋊C₄	—	5	1	no	—
1463	C₄⋊C₄	—	5	1	no	—
1464	C₄⋊C₄	—	5	1	no	—
1465	C₄⋊C₄	—	5	1	no	—
1466	C₄⋊C₄	—	5	1	no	—
1467	C₄⋊C₄	—	5	1	no	—
1468	C₄⋊C₄	—	5	1	no	—
1469	C₄⋊C₄	—	5	1	no	—
1470	C₄⋊C₄	—	5	1	no	—
1471	C₄⋊C₄	—	5	1	no	—
1472	C₄⋊C₄	—	5	1	no	—
1473	C₄⋊C₄	—	10	1	no	—
1474	C₄⋊C₄	—	10	1	no	—
1475	C₄⋊C₄	—	10	1	no	—
1476	C₄⋊C₄	—	10	1	no	—
1477	C₄⋊C₄	—	10	1	no	—
1478	C₄⋊C₄	—	10	1	no	—
1479	C₄⋊C₄	—	10	1	no	—
1480	C₄⋊C₄	—	10	1	no	—
1481	C₄⋊C₄	—	10	1	no	—
1482	C₄⋊C₄	—	10	1	no	—
1483	C₄⋊C₄	—	10	1	no	—
1484	C₄⋊C₄	—	10	1	no	—
1485	C₄⋊C₄	—	10	1	no	—
1486	C₄⋊C₄	—	10	1	no	—
1487	C₄⋊C₄	—	10	1	no	—
1488	C₄⋊C₄	—	10	1	no	—
1489	C₄⋊C₄	—	10	1	no	—
1490	C₄⋊C₄	—	10	1	no	—
1491	C₄⋊C₄	—	10	1	no	—
1492	C₄⋊C₄	—	10	1	no	—
1493	C₄⋊C₄	—	10	1	no	—
1494	C₄⋊C₄	—	10	1	no	—
1495	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1496	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1497	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	5	1	no	—
1505	C₂²⋊C₄	—	5	1	no	—
1506	C₂²⋊C₄	—	5	1	no	—
1507	C₂²⋊C₄	—	5	1	no	—
1508	C₂²⋊C₄	—	5	1	no	—
1509	C₂²⋊C₄	—	5	1	no	—
1510	C₂²⋊C₄	—	5	1	no	—
1511	C₂²⋊C₄	—	5	1	no	—
1512	C₂²⋊C₄	—	10	1	no	—
1513	C₂²⋊C₄	—	10	1	no	—
1514	C₂²⋊C₄	—	10	1	no	—
1515	C₂²⋊C₄	—	10	1	no	—
1516	C₂²⋊C₄	—	10	1	no	—
1517	C₂²⋊C₄	—	10	1	no	—
1518	C₂²⋊C₄	—	10	1	no	—
1519	C₂²⋊C₄	—	10	1	no	—
1520	C₂²⋊C₄	—	10	1	no	—
1521	C₂²⋊C₄	—	10	1	no	—
1522	C₂²⋊C₄	—	10	1	no	—
1523	C₂²⋊C₄	—	10	1	no	—
1524	C₂²⋊C₄	—	10	1	no	—
1525	C₂²⋊C₄	—	10	1	no	—
1526	C₂²⋊C₄	—	10	1	no	—
1527	C₂²⋊C₄	—	10	1	no	—
1528	C₂²⋊C₄	—	10	1	no	—
1529	C₂²⋊C₄	—	10	1	no	—
1530	C₂²⋊C₄	—	10	1	no	—
1531	C₂²⋊C₄	—	10	1	no	—
1532	C₂²⋊C₄	—	10	1	no	—
1533	C₂²⋊C₄	—	10	1	no	—
1534	C₂²⋊C₄	—	10	1	no	—
1535	C₂²⋊C₄	—	10	1	no	—
1536	C₂²⋊C₄	—	10	1	no	—
1537	C₂²⋊C₄	—	10	1	no	—
1538	C₂²⋊C₄	—	10	1	no	—
1539	C₂²⋊C₄	—	10	1	no	—
1540	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1541	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1542	C₄²	—	2	1	no	—
1543	C₄²	—	2	1	no	—
1544	C₄²	—	5	1	no	—
1545	C₄²	—	5	1	no	—
1546	C₄²	—	5	1	no	—
1547	C₄²	—	5	1	no	—
1548	C₄²	—	5	1	no	—
1549	C₄²	—	10	1	no	—
1550	C₄²	—	10	1	no	—
1551	C₄²	—	10	1	no	—
1552	C₄²	—	10	1	no	—
1553	C₄²	—	10	1	no	—
1554	C₄²	—	10	1	no	—
1555	C₄²	—	10	1	no	—
1556	C₄²	—	10	1	no	—
1557	C₄²	—	10	1	no	—
1558	C₄²	—	10	1	no	—
1559	C₄²	—	10	1	no	—
1560	C₄²	—	10	1	no	—
1561	C₄²	C₂³×D₅	1	1	yes	characteristic
1562	C₂×C₅	—	4	1	no	—
1563	C₂×C₅	—	4	1	no	—
1564	C₂×C₅	—	8	1	no	—
1565	C₂×C₅	#3488	1	1	yes	characteristic
1566	C₂×C₅	#3584	1	1	yes	characteristic
1567	C₂×C₅	#3586	1	1	yes	characteristic
1568	D₅	—	4	1	no	—
1569	D₅	—	8	1	no	—
1570	D₅	—	8	1	no	—
1571	D₅	—	8	1	no	—
1572	C₂³	—	2	1	no	—
1573	C₂³	—	5	1	no	—
1574	C₂³	—	10	1	no	—
1575	C₂³	—	10	1	no	—
1576	C₂³	—	10	1	no	—
1577	C₂³	—	40	1	no	—
1578	C₂³	—	40	1	no	—
1579	C₂³	—	40	1	no	—
1580	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1581	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1582	Q₈	—	2	1	no	—
1583	Q₈	—	2	1	no	—
1584	Q₈	—	2	1	no	—
1585	Q₈	—	2	1	no	—
1586	Q₈	—	2	1	no	—
1587	Q₈	—	2	1	no	—
1588	Q₈	—	2	1	no	—
1589	Q₈	—	2	1	no	—
1590	Q₈	—	2	1	no	—
1591	Q₈	—	4	2	no	—
1592	Q₈	—	4	2	no	—
1593	Q₈	—	8	1	no	—
1594	Q₈	—	10	1	no	—
1595	Q₈	—	10	1	no	—
1596	Q₈	—	20	1	no	—
1597	Q₈	—	40	1	no	—
1598	Q₈	—	40	1	no	—
1599	Q₈	—	40	1	no	—
1600	Q₈	#4144	1	2	yes	—
1601	D₄	—	2	1	no	—
1602	D₄	—	2	1	no	—
1603	D₄	—	4	1	no	—
1604	D₄	—	8	1	no	—
1605	D₄	—	8	1	no	—
1606	D₄	—	10	1	no	—
1607	D₄	—	10	1	no	—
1608	D₄	—	10	1	no	—
1609	D₄	—	10	1	no	—
1610	D₄	—	10	1	no	—
1611	D₄	—	10	1	no	—
1612	D₄	—	20	2	no	—
1613	D₄	—	20	1	no	—
1614	D₄	—	20	1	no	—
1615	D₄	—	40	1	no	—
1616	D₄	—	40	1	no	—
1617	D₄	—	40	1	no	—
1618	D₄	—	40	1	no	—
1619	D₄	—	40	1	no	—
1620	D₄	—	40	1	no	—
1621	D₄	—	40	1	no	—
1622	D₄	—	40	1	no	—
1623	D₄	—	40	1	no	—
1624	D₄	—	40	1	no	—
1625	D₄	—	40	1	no	—
1626	D₄	—	40	1	no	—
1627	C₂×C₄	—	2	1	no	—
1628	C₂×C₄	—	2	1	no	—
1629	C₂×C₄	—	2	1	no	—
1630	C₂×C₄	—	2	1	no	—
1631	C₂×C₄	—	2	1	no	—
1632	C₂×C₄	—	2	1	no	—
1633	C₂×C₄	—	2	1	no	—
1634	C₂×C₄	—	2	1	no	—
1635	C₂×C₄	—	2	1	no	—
1636	C₂×C₄	—	2	1	no	—
1637	C₂×C₄	—	2	1	no	—
1638	C₂×C₄	—	4	2	no	—
1639	C₂×C₄	—	4	2	no	—
1640	C₂×C₄	—	5	1	no	—
1641	C₂×C₄	—	5	1	no	—
1642	C₂×C₄	—	5	1	no	—
1643	C₂×C₄	—	5	1	no	—
1644	C₂×C₄	—	5	1	no	—
1645	C₂×C₄	—	5	1	no	—
1646	C₂×C₄	—	5	1	no	—
1647	C₂×C₄	—	8	1	no	—
1648	C₂×C₄	—	8	1	no	—
1649	C₂×C₄	—	10	1	no	—
1650	C₂×C₄	—	10	1	no	—
1651	C₂×C₄	—	10	1	no	—
1652	C₂×C₄	—	10	1	no	—
1653	C₂×C₄	—	10	1	no	—
1654	C₂×C₄	—	10	1	no	—
1655	C₂×C₄	—	10	1	no	—
1656	C₂×C₄	—	20	1	no	—
1657	C₂×C₄	—	20	1	no	—
1658	C₂×C₄	—	20	2	no	—
1659	C₂×C₄	—	20	2	no	—
1660	C₂×C₄	—	40	1	no	—
1661	C₂×C₄	—	40	1	no	—
1662	C₂×C₄	—	40	1	no	—
1663	C₂×C₄	—	40	1	no	—
1664	C₂×C₄	—	40	1	no	—
1665	C₂×C₄	—	40	1	no	—
1666	C₂×C₄	—	40	1	no	—
1667	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1668	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1669	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1670	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1671	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1672	C₈	—	2	1	no	—
1673	C₈	—	2	1	no	—
1674	C₈	—	2	1	no	—
1675	C₈	—	2	1	no	—
1676	C₈	—	10	1	no	—
1677	C₈	—	10	1	no	—
1678	C₈	—	10	1	no	—
1679	C₈	—	10	1	no	—
1680	C₅	#62013	1	1	yes	characteristic, complemented, Sylow
1681	C₂²	—	2	1	no	—
1682	C₂²	—	2	1	no	—
1683	C₂²	—	2	1	no	—
1684	C₂²	—	2	1	no	—
1685	C₂²	—	2	1	no	—
1686	C₂²	—	2	1	no	—
1687	C₂²	—	4	1	no	—
1688	C₂²	—	4	1	no	—
1689	C₂²	—	4	1	no	—
1690	C₂²	—	10	1	no	—
1691	C₂²	—	10	1	no	—
1692	C₂²	—	10	1	no	—
1693	C₂²	—	20	1	no	—
1694	C₂²	—	20	1	no	—
1695	C₂²	—	20	1	no	—
1696	C₂²	—	20	1	no	—
1697	C₂²	—	20	1	no	—
1698	C₂²	—	20	1	no	—
1699	C₂²	—	20	1	no	—
1700	C₂²	—	20	1	no	—
1701	C₂²	—	20	1	no	—
1702	C₂²	—	80	2	no	—
1703	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1704	C₄	—	2	1	no	—
1705	C₄	—	2	1	no	—
1706	C₄	—	2	2	no	—
1707	C₄	—	2	1	no	—
1708	C₄	—	2	1	no	—
1709	C₄	—	4	1	no	—
1710	C₄	—	4	1	no	—
1711	C₄	—	4	1	no	—
1712	C₄	—	4	1	no	—
1713	C₄	—	4	1	no	—
1714	C₄	—	4	1	no	—
1715	C₄	—	10	1	no	—
1716	C₄	—	10	1	no	—
1717	C₄	—	10	1	no	—
1718	C₄	—	10	1	no	—
1719	C₄	—	10	1	no	—
1720	C₄	—	10	1	no	—
1721	C₄	—	10	1	no	—
1722	C₄	—	20	1	no	—
1723	C₄	—	20	1	no	—
1724	C₄	—	20	1	no	—
1725	C₄	—	20	1	no	—
1726	C₄	—	20	1	no	—
1727	C₄	C₂×#4144	1	1	yes	characteristic
1728	C₄	#66285	1	1	yes	characteristic
1729	C₂	—	4	1	no	—
1730	C₂	—	4	1	no	—
1731	C₂	—	8	1	no	—
1732	C₂	—	20	1	no	—
1733	C₂	—	40	1	no	—
1734	C₂	—	40	1	no	—
1735	C₂	—	40	1	no	—
1736	C₂	#10618508	1	1	yes	characteristic
1737	C₂	#10619098	1	1	yes	characteristic
1738	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×#3270	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3270	D₅
hypocenter	C₅	#62013
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3270

Complements

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

N	H ≅ G/N	type
1. #10618651	C₂	semidirect
2. #10618634	C₂	semidirect
3. C₅×#3270	C₂	semidirect
4. #10615719	C₂	semidirect
5. #10615700	C₂	semidirect
6. #10615620	C₂	semidirect
7. #10615608	C₂	semidirect
8. #10615290	C₂	semidirect
9. #10615270	C₂	semidirect
10. #10613606	C₂	semidirect
11. #10613597	C₂	semidirect
12. #10612645	C₂	semidirect
13. #10612628	C₂	semidirect
14. #10612422	C₂	semidirect
15. #10612375	C₂	semidirect
16. #10612328	C₂	semidirect
17. #10612316	C₂	semidirect
18. #10612228	C₂	semidirect
19. #10612202	C₂	semidirect
20. #10611994	C₂	semidirect
21. #10611979	C₂	semidirect
22. #10611938	C₂	semidirect
23. #10611934	C₂	semidirect
24. #10611928	C₂	semidirect
25. #10611908	C₂	semidirect
26. #10611796	C₂	semidirect
27. #10611764	C₂	semidirect
28. #10611578	C₂	semidirect
29. #10611546	C₂	semidirect
30. #10611237	C₂	semidirect
31. #10611195	C₂	semidirect
33. C₂²×C₅×Q₁₆	C₂²	semidirect
40. #66151	C₂²	semidirect
43. #66146	C₂²	semidirect
47. C₂×#4062	C₂²	semidirect
49. #66066	C₂²	semidirect
51. #66062	C₂²	semidirect
61. #65977	C₂²	semidirect
65. #65975	C₂²	semidirect
73. C₄×#713	C₂²	semidirect
75. Q₈×Dic₁₀	C₂²	semidirect
83. C₅×#497	C₂²	semidirect
85. C₅×#465	C₂²	semidirect
86. C₅×#464	C₂²	semidirect
87. C₅×#462	C₂²	semidirect
90. C₅×#451	C₂²	semidirect
91. C₅×#448	C₂²	semidirect
92. C₅×#441	C₂²	semidirect
98. #65516	C₂²	semidirect
99. #65514	C₂²	semidirect
102. #65479	C₂²	semidirect
103. #65477	C₂²	semidirect
104. #65477	C₂²	semidirect
107. #65476	C₂²	semidirect
115. #65474	C₂²	semidirect
116. #65473	C₂²	semidirect
117. Q₁₆×Dic₅	C₂²	semidirect
118. #65471	C₂²	semidirect
119. #65471	C₂²	semidirect
120. #65471	C₂²	semidirect
121. #65471	C₂²	semidirect
122. #65471	C₂²	semidirect
124. #65462	C₂²	semidirect
125. #65462	C₂²	semidirect
126. #65454	C₂²	semidirect
127. #65453	C₂²	semidirect
133. SD₁₆×Dic₅	C₂²	semidirect
140. C₈×C₂²⋊D₅	C₂²	semidirect
141. #65391	C₂²	semidirect
144. #65346	C₂²	semidirect
145. #65344	C₂²	semidirect
152. #65328	C₂²	semidirect
153. #65324	C₂²	semidirect
156. #65315	C₂²	semidirect
157. #65309	C₂²	semidirect
159. #65160	C₂²	semidirect
162. #65143	C₂²	semidirect
165. D₅×C₄⋊C₈	C₂²	semidirect
166. #65117	C₂²	semidirect
169. #65107	C₂²	semidirect
171. #65104	C₂²	semidirect
176. #65088	C₂²	semidirect
177. #65087	C₂²	semidirect
178. #65085	C₂²	semidirect
179. #65085	C₂²	semidirect
182. #65083	C₂²	semidirect
183. #65081	C₂²	semidirect
184. #65079	C₂²	semidirect
185. #65078	C₂²	semidirect
188. #65061	C₂²	semidirect
190. #65048	C₂²	semidirect
194. #65017	C₂²	semidirect
198. #65009	C₂²	semidirect
201. #64994	C₂²	semidirect
202. #64990	C₂²	semidirect
500. #3270	D₅	semidirect
739. C₂²×Q₁₆	C₂×D₅	semidirect
788. #497	C₂×D₅	semidirect
825. #465	C₂×D₅	semidirect
836. #464	C₂×D₅	semidirect
847. #462	C₂×D₅	semidirect
865. #451	C₂×D₅	semidirect
872. #448	C₂×D₅	semidirect
879. #441	C₂×D₅	semidirect
1680. C₅	#62013	semidirect

Maximal subgroups

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

subgroup	index
#10618651	2
#10618634	2
C₅×#3270	2
#10615719	2
#10615700	2
#10615620	2
#10615608	2
#10615290	2
#10615270	2
#10613606	2
#10613597	2
#10612645	2
#10612628	2
#10612422	2
#10612375	2
#10612328	2
#10612316	2
#10612228	2
#10612202	2
#10611994	2
#10611979	2
#10611938	2
#10611934	2
#10611928	2
#10611908	2
#10611796	2
#10611764	2
#10611578	2
#10611546	2
#10611237	2
#10611195	2
#62013	5