Subgroups — #12974139

Order 1280.

1728 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618269	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618245	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3201	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615156	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615139	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613233	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613227	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613190	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613188	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613152	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613148	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613089	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613083	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612630	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612619	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612530	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612515	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612482	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612476	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612378	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612369	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611954	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611954	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611950	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611949	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611933	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611907	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611789	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611763	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610404	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610380	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#537	C₂²	1	1	yes	characteristic
33	C₅×#536	C₂²	1	1	yes	characteristic
34	#66167	C₂²	1	1	yes	characteristic
35	#66166	C₂²	1	1	yes	characteristic, complemented
36	#66164	C₂²	1	1	yes	characteristic
37	#66161	C₂²	1	1	yes	characteristic, complemented
38	#41×Dic₅	C₂²	1	1	yes	characteristic
39	C₂×#4093	C₂²	1	1	yes	characteristic
40	#66146	C₂²	1	1	yes	characteristic
41	#66066	—	2	1	no	—
42	#66066	—	2	1	no	—
43	#66015	—	2	1	no	—
44	#66015	—	2	1	no	—
45	#65992	—	2	1	no	—
46	#65992	—	2	1	no	—
47	#65992	—	2	1	no	—
48	#65992	—	2	1	no	—
49	#65977	C₂²	1	1	yes	characteristic
50	#65977	C₂²	1	1	yes	characteristic
51	#65977	C₂²	1	1	yes	characteristic
52	#65977	C₂²	1	1	yes	characteristic
53	#65977	C₂²	1	1	yes	characteristic
54	#65977	C₂²	1	1	yes	characteristic, complemented
55	#65975	—	2	1	no	—
56	#65969	—	2	1	no	—
57	#65958	C₂²	1	1	yes	characteristic
58	#65958	C₂²	1	1	yes	characteristic
59	#65958	C₂²	1	1	yes	characteristic
60	#65958	C₂²	1	1	yes	characteristic
61	#65956	C₂²	1	1	yes	characteristic
62	#65956	C₂²	1	1	yes	characteristic, complemented
63	#65950	—	2	1	no	—
64	#65945	—	2	1	no	—
65	#65937	C₂²	1	1	yes	characteristic
66	#65937	C₂²	1	1	yes	characteristic, complemented
67	#65935	—	2	1	no	—
68	#65935	—	2	1	no	—
69	#65932	—	2	1	no	—
70	#65932	—	2	1	no	—
71	#65930	C₂²	1	1	yes	characteristic
72	#65930	C₂²	1	1	yes	characteristic, complemented
73	#65855	C₂²	1	1	yes	characteristic
74	#65851	C₂²	1	1	yes	characteristic
75	#65838	C₂²	1	1	yes	characteristic, complemented
76	C₂×#4034	C₂²	1	1	yes	characteristic, complemented
77	C₅×#485	C₂²	1	1	yes	characteristic
78	C₅×#484	C₂²	1	1	yes	characteristic, complemented
79	C₅×#483	C₂²	1	1	yes	characteristic, complemented
80	C₅×#482	C₂²	1	1	yes	characteristic
81	C₅×#470	C₂²	1	1	yes	characteristic, complemented
82	C₅×#468	C₂²	1	1	yes	characteristic, complemented
83	C₅×#467	C₂²	1	1	yes	characteristic, complemented
84	C₅×#465	C₂²	1	1	yes	characteristic, complemented
85	C₅×#452	C₂²	1	1	yes	characteristic, complemented
86	C₅×#452	C₂²	1	1	yes	characteristic, complemented
87	C₅×#451	C₂²	1	1	yes	characteristic
88	C₅×#448	C₂²	1	1	yes	characteristic
89	C₅×#408	C₂²	1	1	yes	characteristic
90	#65527	C₂²	1	1	yes	characteristic
91	#65527	C₂²	1	1	yes	characteristic
92	#65523	C₂²	1	1	yes	characteristic
93	#65517	C₂²	1	1	yes	characteristic
94	#65516	C₂²	1	1	yes	characteristic
95	#65479	C₂²	1	1	yes	characteristic
96	#65479	C₂²	1	1	yes	characteristic
97	#65474	C₂²	1	1	yes	characteristic
98	#65474	C₂²	1	1	yes	characteristic
99	#65474	C₂²	1	1	yes	characteristic, complemented
100	#65474	C₂²	1	1	yes	characteristic, complemented
101	#65473	C₂²	1	1	yes	characteristic, complemented
102	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
103	#65465	C₂²	1	1	yes	characteristic
104	#65465	C₂²	1	1	yes	characteristic
105	#65455	C₂²	1	1	yes	characteristic, complemented
106	#65455	C₂²	1	1	yes	characteristic, complemented
107	#65454	C₂²	1	1	yes	characteristic
108	#65454	C₂²	1	1	yes	characteristic
109	#65453	C₂²	1	1	yes	characteristic, complemented
110	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
111	#65424	C₂²	1	1	yes	characteristic
112	#65423	C₂²	1	1	yes	characteristic
113	#65408	C₂²	1	1	yes	characteristic, complemented
114	M₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
115	#65404	C₂²	1	1	yes	characteristic
116	#65403	C₂²	1	1	yes	characteristic
117	#65391	C₂²	1	1	yes	characteristic, complemented
118	C₂×#3947	C₂²	1	1	yes	characteristic, complemented
119	#65341	C₂²	1	1	yes	characteristic, complemented
120	#65340	C₂²	1	1	yes	characteristic, complemented
121	#65338	C₂²	1	1	yes	characteristic
122	#65338	C₂²	1	1	yes	characteristic, complemented
123	#65337	C₂²	1	1	yes	characteristic
124	#65337	C₂²	1	1	yes	characteristic, complemented
125	#65336	C₂²	1	1	yes	characteristic, complemented
126	#65336	C₂²	1	1	yes	characteristic, complemented
127	#65335	C₂²	1	1	yes	characteristic
128	#65334	C₂²	1	1	yes	characteristic
129	#65333	C₂²	1	1	yes	characteristic, complemented
130	#65332	C₂²	1	1	yes	characteristic, complemented
131	#65328	C₂²	1	1	yes	characteristic
132	#65327	C₂²	1	1	yes	characteristic
133	#65325	C₂²	1	1	yes	characteristic
134	#65324	C₂²	1	1	yes	characteristic
135	#65292	C₂²	1	1	yes	characteristic
136	#65285	C₂²	1	1	yes	characteristic
137	#65257	C₂²	1	1	yes	characteristic
138	#65256	C₂²	1	1	yes	characteristic
139	#65179	C₂²	1	1	yes	characteristic
140	#65179	C₂²	1	1	yes	characteristic
141	#65179	C₂²	1	1	yes	characteristic, complemented
142	#65178	C₂²	1	1	yes	characteristic
143	#65165	C₂²	1	1	yes	characteristic, complemented
144	#65165	C₂²	1	1	yes	characteristic, complemented
145	#65164	C₂²	1	1	yes	characteristic, complemented
146	#65161	C₂²	1	1	yes	characteristic
147	#65159	C₂²	1	1	yes	characteristic
148	#65159	C₂²	1	1	yes	characteristic
149	#65159	C₂²	1	1	yes	characteristic, complemented
150	#65158	C₂²	1	1	yes	characteristic
151	#65145	C₂²	1	1	yes	characteristic, complemented
152	#65145	C₂²	1	1	yes	characteristic, complemented
153	#65143	C₂²	1	1	yes	characteristic, complemented
154	#65141	C₂²	1	1	yes	characteristic
155	#65108	C₂²	1	1	yes	characteristic
156	#65108	C₂²	1	1	yes	characteristic
157	#65108	C₂²	1	1	yes	characteristic
158	#65108	C₂²	1	1	yes	characteristic
159	#65106	C₂²	1	1	yes	characteristic
160	#65106	C₂²	1	1	yes	characteristic, complemented
161	#65087	C₂²	1	1	yes	characteristic
162	#65087	C₂²	1	1	yes	characteristic
163	#65086	C₂²	1	1	yes	characteristic, complemented
164	#65086	C₂²	1	1	yes	characteristic, complemented
165	#65084	C₂²	1	1	yes	characteristic
166	#65084	C₂²	1	1	yes	characteristic
167	#65084	C₂²	1	1	yes	characteristic
168	#65084	C₂²	1	1	yes	characteristic
169	#65083	C₂²	1	1	yes	characteristic, complemented
170	#65083	C₂²	1	1	yes	characteristic, complemented
171	#65083	C₂²	1	1	yes	characteristic, complemented
172	#65080	C₂²	1	1	yes	characteristic, complemented
173	#65080	C₂²	1	1	yes	characteristic, complemented
174	#65080	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
178	#65077	C₂²	1	1	yes	characteristic, complemented
179	#65076	C₂²	1	1	yes	characteristic
180	#65076	C₂²	1	1	yes	characteristic
181	#65074	C₂²	1	1	yes	characteristic
182	#65053	C₂²	1	1	yes	characteristic, complemented
183	#65053	C₂²	1	1	yes	characteristic, complemented
184	#65050	C₂²	1	1	yes	characteristic, complemented
185	#65048	C₂²	1	1	yes	characteristic, complemented
186	#65045	C₂²	1	1	yes	characteristic
187	#65026	C₂²	1	1	yes	characteristic
188	#65025	C₂²	1	1	yes	characteristic
189	#65024	C₂²	1	1	yes	characteristic
190	#65023	C₂²	1	1	yes	characteristic
191	#65023	C₂²	1	1	yes	characteristic
192	#65021	C₂²	1	1	yes	characteristic
193	#65020	C₂²	1	1	yes	characteristic
194	#65012	C₂²	1	1	yes	characteristic
195	#65009	C₂²	1	1	yes	characteristic
196	#65009	C₂²	1	1	yes	characteristic
197	#65009	C₂²	1	1	yes	characteristic, complemented
198	#65009	C₂²	1	1	yes	characteristic, complemented
199	#65008	C₂²	1	1	yes	characteristic
200	#65008	C₂²	1	1	yes	characteristic
201	#65008	C₂²	1	1	yes	characteristic, complemented
202	#65008	C₂²	1	1	yes	characteristic, complemented
203	#61016	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂×C₅×#41	C₂³	1	1	yes	characteristic
206	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
207	C₂×#711	—	2	1	no	—
208	C₂×#711	—	2	1	no	—
209	C₂×#709	C₂³	1	1	yes	characteristic
210	C₂²×D₂₀	C₂³	1	1	yes	characteristic
211	C₂²×Dic₁₀	—	2	1	no	—
212	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
217	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
218	C₅×C₄⋊Q₈	—	2	1	no	—
219	C₅×#124	—	2	1	no	—
220	C₅×#123	—	2	1	no	—
221	C₅×#123	—	2	1	no	—
222	C₅×C₂²⋊Q₈	—	2	1	no	—
223	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
226	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
227	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
228	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
229	C₅×#121	—	2	1	no	—
230	C₅×#121	—	2	1	no	—
231	C₅×#121	—	2	1	no	—
232	C₅×#121	C₂³	1	1	yes	characteristic
233	C₅×#121	C₂³	1	1	yes	characteristic
234	C₅×#117	C₂³	1	1	yes	characteristic
235	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	#4093	—	2	1	no	—
237	#4093	—	2	1	no	—
238	#4093	—	2	1	no	—
239	#4093	C₂³	1	1	yes	characteristic
240	#4093	C₂³	1	1	yes	characteristic
241	#4093	C₂³	1	1	yes	characteristic
242	#4093	C₂³	1	1	yes	characteristic
243	#4093	C₂³	1	1	yes	characteristic
244	#4092	—	2	1	no	—
245	Q₈×Dic₅	—	2	1	no	—
246	Q₈×Dic₅	—	2	1	no	—
247	Q₈×Dic₅	D₄	1	1	yes	characteristic
248	Q₈×Dic₅	D₄	1	1	yes	characteristic
249	Q₈×Dic₅	C₂³	1	1	yes	characteristic
250	Q₈×Dic₅	C₂³	1	1	yes	characteristic
251	Q₈×Dic₅	C₂³	1	1	yes	characteristic
252	Q₈×Dic₅	C₂³	1	1	yes	characteristic
253	Q₈×Dic₅	C₂³	1	1	yes	characteristic
254	Q₈×Dic₅	C₂³	1	1	yes	characteristic
255	#4090	C₂³	1	1	yes	characteristic
256	C₂×#689	C₂³	1	1	yes	characteristic
257	C₂×#689	C₂³	1	1	yes	characteristic
258	C₂×#688	C₂³	1	1	yes	characteristic
259	C₂×#688	C₂³	1	1	yes	characteristic
260	C₂×#688	C₂³	1	1	yes	characteristic
261	C₂×#688	C₂³	1	1	yes	characteristic
262	#4086	—	2	1	no	—
263	#4086	C₂³	1	1	yes	characteristic
264	#4085	—	2	1	no	—
265	#4085	—	2	1	no	—
266	#4085	—	2	1	no	—
267	#4085	—	2	1	no	—
268	#4085	—	2	1	no	—
269	#4085	—	2	1	no	—
270	#4084	—	2	1	no	—
271	#4083	—	2	1	no	—
272	#4083	—	2	1	no	—
273	#4082	—	2	1	no	—
274	#4082	—	2	1	no	—
275	#4082	C₂³	1	1	yes	characteristic
276	#4081	—	2	1	no	—
277	#4081	—	2	1	no	—
278	D₄×Dic₅	—	2	1	no	—
279	D₄×Dic₅	—	2	1	no	—
280	D₄×Dic₅	D₄	1	1	yes	characteristic
281	D₄×Dic₅	D₄	1	1	yes	characteristic
282	D₄×Dic₅	D₄	1	1	yes	characteristic
283	D₄×Dic₅	D₄	1	1	yes	characteristic
284	D₄×Dic₅	D₄	1	1	yes	characteristic
285	D₄×Dic₅	D₄	1	1	yes	characteristic
286	D₄×Dic₅	C₂³	1	1	yes	characteristic
287	D₄×Dic₅	C₂³	1	1	yes	characteristic
288	C₂×#686	C₂³	1	1	yes	characteristic
289	C₂×#686	C₂³	1	1	yes	characteristic
290	#4076	C₂³	1	1	yes	characteristic
291	#4076	C₂³	1	1	yes	characteristic
292	#4076	C₂³	1	1	yes	characteristic
293	#4076	C₂³	1	1	yes	characteristic
294	#4076	C₂³	1	1	yes	characteristic
295	#4076	C₂³	1	1	yes	characteristic
296	C₄×C₂²⋊D₅	—	2	1	no	—
297	C₄×C₂²⋊D₅	—	2	1	no	—
298	C₄×C₂²⋊D₅	—	2	1	no	—
299	C₄×C₂²⋊D₅	—	2	1	no	—
300	C₂×#685	—	2	1	no	—
301	C₂×#685	—	2	1	no	—
302	#4072	—	2	1	no	—
303	#4072	—	2	1	no	—
304	#4072	—	2	1	no	—
305	#4072	C₂³	1	1	yes	characteristic
306	#4072	C₂³	1	1	yes	characteristic
307	#4072	C₂³	1	1	yes	characteristic
308	#4072	C₂³	1	1	yes	characteristic
309	C₂×C₄⋊Dic₅	—	2	1	no	—
310	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
311	#4070	C₂³	1	1	yes	characteristic
312	#4070	C₂³	1	1	yes	characteristic
313	C₂×#683	—	2	1	no	—
314	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
316	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
317	C₂×#681	C₂³	1	1	yes	characteristic
318	C₂²×#168	C₂³	1	1	yes	characteristic
319	C₂×D₄₀	C₂³	1	1	yes	characteristic
320	C₂×D₄₀	C₂³	1	1	yes	characteristic
321	C₂×#677	C₂³	1	1	yes	characteristic
322	C₂×#677	C₂³	1	1	yes	characteristic
323	#4044	—	2	1	no	—
324	#4044	—	2	1	no	—
325	#4044	—	2	1	no	—
326	#4044	—	2	1	no	—
327	#4044	—	2	1	no	—
328	#4044	—	2	1	no	—
329	#4044	—	2	1	no	—
330	#4044	—	2	1	no	—
331	#4044	—	2	1	no	—
332	#4044	—	2	1	no	—
333	#4043	—	2	1	no	—
334	#4043	—	2	1	no	—
335	#4043	—	2	1	no	—
336	#4043	—	2	1	no	—
337	#4043	—	2	1	no	—
338	#4043	—	2	1	no	—
339	#4039	C₂³	1	1	yes	characteristic
340	#4039	C₂³	1	1	yes	characteristic
341	#4039	C₂³	1	1	yes	characteristic
342	#4039	C₂³	1	1	yes	characteristic
343	#4039	C₂³	1	1	yes	characteristic
344	#4039	C₂³	1	1	yes	characteristic
345	#4038	—	2	1	no	—
346	#4038	—	2	1	no	—
347	#4038	—	2	1	no	—
348	#4038	—	2	1	no	—
349	#4038	—	2	1	no	—
350	D₅×C₄⋊C₄	—	2	1	no	—
351	#4036	C₂³	1	1	yes	characteristic
352	#4036	C₂³	1	1	yes	characteristic
353	#4035	—	2	1	no	—
354	#4035	—	2	1	no	—
355	#4034	—	2	1	no	—
356	#4034	—	2	1	no	—
357	#4034	C₂³	1	1	yes	characteristic
358	#4034	C₂³	1	1	yes	characteristic
359	#4034	C₂³	1	1	yes	characteristic
360	#4034	C₂³	1	1	yes	characteristic
361	#4034	C₂³	1	1	yes	characteristic
362	#4034	C₂³	1	1	yes	characteristic
363	#4033	—	2	1	no	—
364	#4033	—	2	1	no	—
365	#4033	C₂³	1	1	yes	characteristic
366	#4033	C₂³	1	1	yes	characteristic
367	#4032	—	2	1	no	—
368	#4032	—	2	1	no	—
369	#4032	—	2	1	no	—
370	#4032	—	2	1	no	—
371	#4031	—	2	1	no	—
372	#4031	—	2	1	no	—
373	#4031	—	2	1	no	—
374	#4031	—	2	1	no	—
375	#4031	—	2	1	no	—
376	#4031	—	2	1	no	—
377	#4031	—	2	1	no	—
378	#4031	—	2	1	no	—
379	#4029	—	2	1	no	—
380	#4029	—	2	1	no	—
381	#4029	—	2	1	no	—
382	#4029	—	2	1	no	—
383	#4029	—	2	1	no	—
384	#4029	—	2	1	no	—
385	#4027	—	2	1	no	—
386	#4027	—	2	1	no	—
387	#4027	—	2	1	no	—
388	#4027	—	2	1	no	—
389	#4027	—	2	1	no	—
390	#4027	—	2	1	no	—
391	D₅×C₂²⋊C₄	—	2	1	no	—
392	D₅×C₂²⋊C₄	—	2	1	no	—
393	#4025	—	2	1	no	—
394	#4025	—	2	1	no	—
395	#4024	—	2	1	no	—
396	#4024	—	2	1	no	—
397	#4024	—	2	1	no	—
398	#4024	—	2	1	no	—
399	#4024	—	2	1	no	—
400	#4024	—	2	1	no	—
401	#4023	—	2	1	no	—
402	#4023	—	2	1	no	—
403	C₄×D₂₀	—	2	1	no	—
404	C₄×D₂₀	—	2	1	no	—
405	C₄×Dic₁₀	—	2	1	no	—
406	C₄×Dic₁₀	—	2	1	no	—
407	C₅×#107	C₂³	1	1	yes	characteristic
408	C₅×#107	C₂³	1	1	yes	characteristic
409	C₅×#106	C₂³	1	1	yes	characteristic
410	C₅×#106	C₂³	1	1	yes	characteristic
411	C₅×#103	C₂³	1	1	yes	characteristic
412	C₅×#103	C₂³	1	1	yes	characteristic
413	C₅×#103	C₂³	1	1	yes	characteristic
414	C₅×#103	C₂³	1	1	yes	characteristic
415	C₅×#103	C₂³	1	1	yes	characteristic
416	C₅×#103	C₂³	1	1	yes	characteristic
417	C₅×#102	C₂³	1	1	yes	characteristic
418	C₅×#102	C₂³	1	1	yes	characteristic
419	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
420	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
421	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
422	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
423	#3967	C₂³	1	1	yes	characteristic
424	#3967	C₂³	1	1	yes	characteristic
425	#3967	C₂³	1	1	yes	characteristic
426	#3967	C₂³	1	1	yes	characteristic
427	#3967	C₂³	1	1	yes	characteristic
428	#3967	C₂³	1	1	yes	characteristic
429	#3964	C₂³	1	1	yes	characteristic
430	#3964	C₂³	1	1	yes	characteristic
431	C₂²⋊#168	C₂³	1	1	yes	characteristic
432	C₂²⋊#168	C₂³	1	1	yes	characteristic
433	C₂²⋊#168	C₂³	1	1	yes	characteristic
434	C₂²⋊#168	C₂³	1	1	yes	characteristic
435	#3953	C₂³	1	1	yes	characteristic
436	#3953	C₂³	1	1	yes	characteristic
437	#3953	C₂³	1	1	yes	characteristic
438	#3953	C₂³	1	1	yes	characteristic
439	#3953	C₂³	1	1	yes	characteristic
440	#3953	C₂³	1	1	yes	characteristic
441	#3950	C₂³	1	1	yes	characteristic
442	#3950	C₂³	1	1	yes	characteristic
443	#3949	C₂³	1	1	yes	characteristic
444	#3949	C₂³	1	1	yes	characteristic
445	#3948	C₂³	1	1	yes	characteristic
446	#3948	C₂³	1	1	yes	characteristic
447	#3947	C₂³	1	1	yes	characteristic
448	#3947	C₂³	1	1	yes	characteristic
449	#3947	C₂³	1	1	yes	characteristic
450	#3947	C₂³	1	1	yes	characteristic
451	#3947	C₂³	1	1	yes	characteristic
452	#3947	C₂³	1	1	yes	characteristic
453	#3946	C₂³	1	1	yes	characteristic
454	#3946	C₂³	1	1	yes	characteristic
455	#3946	C₂³	1	1	yes	characteristic
456	#3946	C₂³	1	1	yes	characteristic
457	#3946	C₂³	1	1	yes	characteristic
458	#3946	C₂³	1	1	yes	characteristic
459	#3946	C₂³	1	1	yes	characteristic
460	#3946	C₂³	1	1	yes	characteristic
461	C₈×Dic₅	C₂³	1	1	yes	characteristic
462	C₈×Dic₅	C₂³	1	1	yes	characteristic
463	#3942	C₂³	1	1	yes	characteristic
464	#3942	C₂³	1	1	yes	characteristic
465	#3941	C₂³	1	1	yes	characteristic
466	#3941	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	#3940	C₂³	1	1	yes	characteristic
472	#3940	C₂³	1	1	yes	characteristic
473	#3940	C₂³	1	1	yes	characteristic
474	#3940	C₂³	1	1	yes	characteristic
475	#3939	C₂³	1	1	yes	characteristic
476	#3939	C₂³	1	1	yes	characteristic
477	#3939	C₂³	1	1	yes	characteristic
478	#3939	C₂³	1	1	yes	characteristic
479	#3511	—	5	1	no	—
480	#3510	—	5	1	no	—
481	#3263	—	5	1	no	—
482	#3263	—	5	1	no	—
483	#3262	—	5	1	no	—
484	#3262	—	5	1	no	—
485	#3239	—	5	1	no	—
486	#3238	—	5	1	no	—
487	#3237	—	5	1	no	—
488	#3235	—	5	1	no	—
489	#3219	—	5	1	no	—
490	#3219	—	5	1	no	—
491	#3215	—	5	1	no	—
492	#3213	—	5	1	no	—
493	#3201	—	5	1	no	—
494	#3201	D₅	1	1	yes	characteristic, complemented
495	#3198	—	5	1	no	—
496	#3198	—	5	1	no	—
497	#3181	—	5	1	no	—
498	#3180	—	5	1	no	—
499	#3172	—	5	1	no	—
500	#3171	—	5	1	no	—
501	#3125	—	5	1	no	—
502	#3125	—	5	1	no	—
503	#3124	—	5	1	no	—
504	#3124	—	5	1	no	—
505	#3121	—	5	1	no	—
506	#3121	—	5	1	no	—
507	#3118	—	5	1	no	—
508	#3118	—	5	1	no	—
509	#2923	—	5	1	no	—
510	C₂³×D₅	—	2	1	no	—
511	C₅×#41	—	4	1	no	—
512	C₅×#41	—	4	1	no	—
513	C₅×#41	—	4	1	no	—
514	C₅×#41	—	4	1	no	—
515	C₂×C₅×Q₈	—	2	1	no	—
516	C₂×C₅×Q₈	—	4	1	no	—
517	C₂×C₅×Q₈	—	4	1	no	—
518	C₂×C₅×Q₈	C₂×D₄	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×Q₈	C₂⁴	1	1	yes	characteristic
522	C₂×C₅×D₄	—	2	1	no	—
523	C₂×C₅×D₄	—	2	1	no	—
524	C₂×C₅×D₄	—	2	1	no	—
525	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
526	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
527	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
528	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₅	—	2	1	no	—
530	C₂²×C₄×C₅	—	2	1	no	—
531	C₂²×C₄×C₅	—	2	1	no	—
532	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
534	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
535	C₂×C₂²⋊D₅	—	2	1	no	—
536	C₂×C₂²⋊D₅	—	2	1	no	—
537	C₂×C₂²⋊D₅	—	2	1	no	—
538	C₂×C₂²⋊D₅	—	2	1	no	—
539	C₂×C₂²⋊D₅	—	2	1	no	—
540	C₂×C₂²⋊D₅	—	2	1	no	—
541	C₂×C₂²⋊D₅	—	2	1	no	—
542	C₂×C₂²⋊D₅	—	2	1	no	—
543	C₂×C₂²⋊D₅	—	2	1	no	—
544	C₂²×Dic₅	—	2	1	no	—
545	C₂²×Dic₅	—	2	1	no	—
546	C₂²×Dic₅	—	2	1	no	—
547	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
548	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
549	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
550	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
551	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
552	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
553	#711	—	8	2	no	—
554	#711	—	8	2	no	—
555	#709	—	4	1	no	—
556	#709	—	4	1	no	—
557	C₂×D₂₀	—	2	1	no	—
558	C₂×D₂₀	—	4	1	no	—
559	C₂×D₂₀	—	4	1	no	—
560	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
561	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
562	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
563	C₂×C₄×D₅	—	2	1	no	—
564	C₂×C₄×D₅	—	2	1	no	—
565	C₂×C₄×D₅	—	2	1	no	—
566	C₂×C₄×D₅	—	2	1	no	—
567	C₂×C₄×D₅	—	2	1	no	—
568	C₂×C₄×D₅	—	2	1	no	—
569	C₂×C₄×D₅	—	2	1	no	—
570	C₂×Dic₁₀	—	2	1	no	—
571	C₂×Dic₁₀	—	2	1	no	—
572	C₂×Dic₁₀	—	2	1	no	—
573	C₂×Dic₁₀	—	2	1	no	—
574	C₂×Dic₁₀	—	2	1	no	—
575	C₂×Dic₁₀	—	2	1	no	—
576	C₂×Dic₁₀	—	8	2	no	—
577	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
578	C₅×Q₁₆	—	4	1	no	—
579	C₅×Q₁₆	—	4	1	no	—
580	C₅×SD₁₆	—	4	1	no	—
581	C₅×SD₁₆	—	4	1	no	—
582	C₅×M₁₆	—	4	1	no	—
583	C₂×C₅×C₈	—	4	1	no	—
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	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
596	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
597	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
598	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
599	C₅×C₂²⋊C₄	—	2	1	no	—
600	C₅×C₂²⋊C₄	—	2	1	no	—
601	C₅×C₂²⋊C₄	—	2	1	no	—
602	C₅×C₂²⋊C₄	—	2	1	no	—
603	C₅×C₂²⋊C₄	—	2	1	no	—
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	C₄²×C₅	—	2	1	no	—
609	C₂²⋊Dic₅	—	2	1	no	—
610	C₂²⋊Dic₅	—	2	1	no	—
611	C₂²⋊Dic₅	—	2	1	no	—
612	C₂²⋊Dic₅	—	2	1	no	—
613	C₂²⋊Dic₅	—	2	1	no	—
614	C₂²⋊Dic₅	—	2	1	no	—
615	C₂²⋊Dic₅	—	2	1	no	—
616	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
617	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
618	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
619	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
620	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
621	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
622	#689	—	4	1	no	—
623	#689	—	4	1	no	—
624	#688	—	4	1	no	—
625	#688	—	4	1	no	—
626	#688	—	4	1	no	—
627	#688	—	4	1	no	—
628	#686	—	4	1	no	—
629	#686	—	4	1	no	—
630	#685	—	2	1	no	—
631	#685	—	2	1	no	—
632	#685	—	2	1	no	—
633	#685	—	2	1	no	—
634	#685	—	2	1	no	—
635	#685	—	2	1	no	—
636	#685	—	2	1	no	—
637	#685	—	2	1	no	—
638	#685	—	2	1	no	—
639	#685	—	2	1	no	—
640	#685	—	2	1	no	—
641	#685	—	2	1	no	—
642	#685	—	2	1	no	—
643	#685	—	2	1	no	—
644	#685	—	2	1	no	—
645	#685	—	2	1	no	—
646	#685	—	2	1	no	—
647	#685	—	2	1	no	—
648	#685	—	2	1	no	—
649	#685	—	2	1	no	—
650	#685	—	2	1	no	—
651	#685	—	2	1	no	—
652	C₄⋊Dic₅	—	2	1	no	—
653	C₄⋊Dic₅	—	2	1	no	—
654	C₄⋊Dic₅	—	2	1	no	—
655	C₄⋊Dic₅	—	2	1	no	—
656	C₄⋊Dic₅	—	2	1	no	—
657	C₄⋊Dic₅	—	2	1	no	—
658	C₄⋊Dic₅	—	2	1	no	—
659	C₄⋊Dic₅	—	2	1	no	—
660	C₄⋊Dic₅	—	2	1	no	—
661	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
662	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
663	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
664	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
665	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
666	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
667	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
668	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
669	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
670	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
671	#683	—	2	1	no	—
672	#683	—	2	1	no	—
673	#683	—	2	1	no	—
674	#683	—	2	1	no	—
675	#683	—	2	1	no	—
676	#683	—	2	1	no	—
677	#683	—	2	1	no	—
678	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	—	2	1	no	—
684	#683	—	2	1	no	—
685	C₄×Dic₅	—	2	1	no	—
686	C₄×Dic₅	—	2	1	no	—
687	C₄×Dic₅	—	2	1	no	—
688	C₄×Dic₅	—	2	1	no	—
689	C₄×Dic₅	—	2	1	no	—
690	C₄×Dic₅	—	2	1	no	—
691	C₄×Dic₅	—	2	1	no	—
692	C₄×Dic₅	—	2	1	no	—
693	C₄×Dic₅	—	2	1	no	—
694	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
695	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
696	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
697	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
698	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
699	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
700	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
701	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
702	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
703	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
704	#681	—	4	1	no	—
705	C₂×#168	—	4	1	no	—
706	C₂×#168	C₂⁴	1	1	yes	characteristic
707	C₂×#168	C₂⁴	1	1	yes	characteristic
708	C₂×#168	C₂⁴	1	1	yes	characteristic
709	C₂×#168	C₂⁴	1	1	yes	characteristic
710	D₄₀	—	4	1	no	—
711	D₄₀	—	4	1	no	—
712	#677	—	4	1	no	—
713	#677	—	4	1	no	—
714	#559	—	10	1	no	—
715	#559	—	10	1	no	—
716	#556	—	10	1	no	—
717	#556	—	10	1	no	—
718	#556	—	10	1	no	—
719	#555	—	10	1	no	—
720	#554	—	10	1	no	—
721	#553	—	10	1	no	—
722	#553	—	10	1	no	—
723	#551	—	10	1	no	—
724	#551	—	10	1	no	—
725	#551	—	10	1	no	—
726	#551	—	10	1	no	—
727	#548	—	10	1	no	—
728	#548	—	10	1	no	—
729	#547	—	10	1	no	—
730	#542	—	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	#537	—	5	1	no	—
739	#537	C₂×D₅	1	1	yes	characteristic
740	#536	C₂×D₅	1	1	yes	characteristic
741	#535	—	5	1	no	—
742	#533	—	5	1	no	—
743	#533	—	5	1	no	—
744	#533	—	5	1	no	—
745	#532	—	5	1	no	—
746	#532	—	5	1	no	—
747	#532	—	5	1	no	—
748	C₂×C₄⋊Q₈	—	5	1	no	—
749	#529	—	5	1	no	—
750	#529	—	5	1	no	—
751	#529	—	5	1	no	—
752	#529	—	5	1	no	—
753	C₂×#124	—	5	1	no	—
754	#520	—	5	1	no	—
755	#520	—	5	1	no	—
756	#519	—	5	1	no	—
757	#518	—	5	1	no	—
758	C₄×#41	—	5	1	no	—
759	#501	—	5	1	no	—
760	#501	—	5	1	no	—
761	#501	—	5	1	no	—
762	#501	—	5	1	no	—
763	#497	—	5	1	no	—
764	#497	—	5	1	no	—
765	#496	—	5	1	no	—
766	#496	—	5	1	no	—
767	#491	—	5	1	no	—
768	#491	—	5	1	no	—
769	#490	—	5	1	no	—
770	#490	—	5	1	no	—
771	#489	—	5	1	no	—
772	#489	—	5	1	no	—
773	#489	—	5	1	no	—
774	#489	—	5	1	no	—
775	#485	—	5	1	no	—
776	#485	—	5	1	no	—
777	#485	—	5	1	no	—
778	#485	C₂×D₅	1	1	yes	characteristic
779	#484	—	5	1	no	—
780	#484	C₂×D₅	1	1	yes	characteristic, complemented
781	#483	—	5	1	no	—
782	#483	C₂×D₅	1	1	yes	characteristic, complemented
783	#482	—	5	1	no	—
784	#482	—	5	1	no	—
785	#482	—	5	1	no	—
786	#482	C₂×D₅	1	1	yes	characteristic
787	#481	—	5	1	no	—
788	#481	—	5	1	no	—
789	#480	—	5	1	no	—
790	#480	—	5	1	no	—
791	#477	—	5	1	no	—
792	#477	—	5	1	no	—
793	#477	—	5	1	no	—
794	#477	—	5	1	no	—
795	#476	—	5	1	no	—
796	#476	—	5	1	no	—
797	#476	—	5	1	no	—
798	#476	—	5	1	no	—
799	#475	—	5	1	no	—
800	#475	—	5	1	no	—
801	#475	—	5	1	no	—
802	#475	—	5	1	no	—
803	#474	—	5	1	no	—
804	#474	—	5	1	no	—
805	#474	—	5	1	no	—
806	#474	—	5	1	no	—
807	#470	—	5	1	no	—
808	#470	C₂×D₅	1	1	yes	characteristic, complemented
809	#469	—	5	1	no	—
810	#469	—	5	1	no	—
811	#468	—	5	1	no	—
812	#468	—	5	1	no	—
813	#468	—	5	1	no	—
814	#468	C₂×D₅	1	1	yes	characteristic, complemented
815	#467	—	5	1	no	—
816	#467	C₂×D₅	1	1	yes	characteristic, complemented
817	#466	—	5	1	no	—
818	#466	—	5	1	no	—
819	#465	—	5	1	no	—
820	#465	—	5	1	no	—
821	#465	—	5	1	no	—
822	#465	C₂×D₅	1	1	yes	characteristic, complemented
823	#464	—	5	1	no	—
824	#464	—	5	1	no	—
825	#464	—	5	1	no	—
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	#463	—	5	1	no	—
832	#463	—	5	1	no	—
833	#463	—	5	1	no	—
834	#463	—	5	1	no	—
835	#463	—	5	1	no	—
836	#463	—	5	1	no	—
837	#463	—	5	1	no	—
838	#463	—	5	1	no	—
839	#452	—	5	1	no	—
840	#452	—	5	1	no	—
841	#452	C₂×D₅	1	1	yes	characteristic, complemented
842	#452	C₂×D₅	1	1	yes	characteristic, complemented
843	#451	—	5	1	no	—
844	#451	C₂×D₅	1	1	yes	characteristic
845	#450	—	5	1	no	—
846	#450	—	5	1	no	—
847	#449	—	5	1	no	—
848	#449	—	5	1	no	—
849	#449	—	5	1	no	—
850	#449	—	5	1	no	—
851	#448	—	5	1	no	—
852	#448	C₂×D₅	1	1	yes	characteristic
853	#447	—	5	1	no	—
854	#447	—	5	1	no	—
855	#442	—	5	1	no	—
856	#442	—	5	1	no	—
857	#441	—	5	1	no	—
858	#441	—	5	1	no	—
859	#440	—	5	1	no	—
860	#440	—	5	1	no	—
861	#440	—	5	1	no	—
862	#440	—	5	1	no	—
863	C₄×Q₁₆	—	5	1	no	—
864	C₄×Q₁₆	—	5	1	no	—
865	C₄×SD₁₆	—	5	1	no	—
866	C₄×SD₁₆	—	5	1	no	—
867	C₄×SD₁₆	—	5	1	no	—
868	C₄×SD₁₆	—	5	1	no	—
869	C₄×D₈	—	5	1	no	—
870	C₄×D₈	—	5	1	no	—
871	#433	—	5	1	no	—
872	#433	—	5	1	no	—
873	#433	—	5	1	no	—
874	#433	—	5	1	no	—
875	#432	—	5	1	no	—
876	#432	—	5	1	no	—
877	#432	—	5	1	no	—
878	#432	—	5	1	no	—
879	#424	—	5	1	no	—
880	#424	—	5	1	no	—
881	#408	—	5	1	no	—
882	#408	C₂×D₅	1	1	yes	characteristic
883	C₄×M₁₆	—	5	1	no	—
884	C₂×#97	—	5	1	no	—
885	C₂³×C₅	—	2	1	no	—
886	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
887	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
888	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
889	C₂²×D₅	—	2	1	no	—
890	C₂²×D₅	—	2	1	no	—
891	C₂²×D₅	—	2	1	no	—
892	C₂²×D₅	—	4	2	no	—
893	C₂²×D₅	—	8	1	no	—
894	C₂²×D₅	—	8	1	no	—
895	C₅×Q₈	—	2	1	no	—
896	C₅×Q₈	—	2	1	no	—
897	C₅×Q₈	—	2	1	no	—
898	C₅×Q₈	—	2	1	no	—
899	C₅×Q₈	—	2	1	no	—
900	C₅×Q₈	—	2	1	no	—
901	C₅×Q₈	—	4	1	no	—
902	C₅×Q₈	—	4	2	no	—
903	C₅×D₄	—	2	1	no	—
904	C₅×D₄	—	2	1	no	—
905	C₅×D₄	—	4	1	no	—
906	C₅×D₄	—	4	1	no	—
907	C₅×D₄	—	4	1	no	—
908	C₅×D₄	—	4	2	no	—
909	C₅×D₄	—	8	1	no	—
910	C₅×D₄	—	8	1	no	—
911	C₂×C₄×C₅	—	2	1	no	—
912	C₂×C₄×C₅	—	2	1	no	—
913	C₂×C₄×C₅	—	2	1	no	—
914	C₂×C₄×C₅	—	2	1	no	—
915	C₂×C₄×C₅	—	2	1	no	—
916	C₂×C₄×C₅	—	2	1	no	—
917	C₂×C₄×C₅	—	2	1	no	—
918	C₂×C₄×C₅	—	2	1	no	—
919	C₂×C₄×C₅	—	2	1	no	—
920	C₂×C₄×C₅	—	2	1	no	—
921	C₂×C₄×C₅	—	2	1	no	—
922	C₂×C₄×C₅	—	2	1	no	—
923	C₂×C₄×C₅	—	2	1	no	—
924	C₂×C₄×C₅	—	4	2	no	—
925	C₂×C₄×C₅	—	4	2	no	—
926	C₂×C₄×C₅	—	8	1	no	—
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	C₂⁵	1	1	yes	characteristic
931	C₂²⋊D₅	—	4	2	no	—
932	C₂²⋊D₅	—	4	2	no	—
933	C₂²⋊D₅	—	4	2	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	C₂²⋊D₅	—	8	1	no	—
940	C₂×Dic₅	—	2	1	no	—
941	C₂×Dic₅	—	2	1	no	—
942	C₂×Dic₅	—	2	1	no	—
943	C₂×Dic₅	—	2	1	no	—
944	C₂×Dic₅	—	2	1	no	—
945	C₂×Dic₅	—	4	1	no	—
946	C₂×Dic₅	—	4	1	no	—
947	C₂×Dic₅	—	4	1	no	—
948	C₂×Dic₅	—	4	1	no	—
949	C₂×Dic₅	—	4	1	no	—
950	C₂×Dic₅	—	4	1	no	—
951	C₂×Dic₅	—	8	1	no	—
952	C₂×Dic₅	—	8	1	no	—
953	C₂×Dic₅	—	8	1	no	—
954	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
955	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
956	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
957	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
958	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
959	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
960	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
961	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
962	D₂₀	—	2	1	no	—
963	D₂₀	—	2	1	no	—
964	D₂₀	—	2	1	no	—
965	D₂₀	—	2	1	no	—
966	D₂₀	—	2	1	no	—
967	D₂₀	—	2	1	no	—
968	D₂₀	—	4	2	no	—
969	C₄×D₅	—	4	2	no	—
970	C₄×D₅	—	8	1	no	—
971	C₄×D₅	—	8	1	no	—
972	C₄×D₅	—	8	1	no	—
973	C₄×D₅	—	8	1	no	—
974	C₄×D₅	—	8	1	no	—
975	C₄×D₅	—	8	1	no	—
976	Dic₁₀	—	2	1	no	—
977	Dic₁₀	—	2	1	no	—
978	Dic₁₀	—	4	2	no	—
979	Dic₁₀	—	4	2	no	—
980	Dic₁₀	—	8	1	no	—
981	Dic₁₀	—	8	1	no	—
982	Dic₁₀	—	8	1	no	—
983	Dic₁₀	—	8	1	no	—
984	C₅×C₈	—	2	1	no	—
985	C₅×C₈	—	2	1	no	—
986	C₅×C₈	—	2	1	no	—
987	C₅×C₈	—	2	1	no	—
988	#168	—	2	1	no	—
989	#168	—	2	1	no	—
990	#168	—	2	1	no	—
991	#168	—	2	1	no	—
992	C₂×#41	—	5	1	no	—
993	C₂×#41	—	10	1	no	—
994	C₂×#41	—	10	1	no	—
995	C₂×#41	C₂²×D₅	1	1	yes	characteristic
996	C₂×#41	C₂²×D₅	1	1	yes	characteristic
997	C₂²×Q₈	—	10	1	no	—
998	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
999	C₂²×D₄	—	5	1	no	—
1000	C₂×Q₁₆	—	5	1	no	—
1001	C₂×Q₁₆	—	5	1	no	—
1002	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1003	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1004	C₂×SD₁₆	—	5	1	no	—
1005	C₂×SD₁₆	—	5	1	no	—
1006	C₂×SD₁₆	—	5	1	no	—
1007	C₂×SD₁₆	—	5	1	no	—
1008	C₂×SD₁₆	—	5	1	no	—
1009	C₂×SD₁₆	—	5	1	no	—
1010	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1011	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1012	C₂×D₈	—	5	1	no	—
1013	C₂×D₈	—	5	1	no	—
1014	C₂×D₈	—	5	1	no	—
1015	C₂×D₈	—	5	1	no	—
1016	C₂×M₁₆	—	5	1	no	—
1017	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1018	C₂²×C₈	—	5	1	no	—
1019	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1020	C₄⋊Q₈	—	2	1	no	—
1021	C₄⋊Q₈	—	5	1	no	—
1022	C₄⋊Q₈	—	5	1	no	—
1023	C₄⋊Q₈	—	5	1	no	—
1024	C₄⋊Q₈	—	5	1	no	—
1025	C₄⋊Q₈	—	5	1	no	—
1026	C₄⋊Q₈	—	5	1	no	—
1027	C₄⋊Q₈	—	5	1	no	—
1028	C₄⋊Q₈	—	10	1	no	—
1029	C₄⋊Q₈	—	10	1	no	—
1030	#127	—	5	1	no	—
1031	#127	—	10	1	no	—
1032	#126	—	10	1	no	—
1033	#126	—	10	1	no	—
1034	#126	—	10	1	no	—
1035	#126	—	10	1	no	—
1036	#126	—	10	1	no	—
1037	#126	—	10	1	no	—
1038	#126	—	10	1	no	—
1039	#126	—	10	1	no	—
1040	#126	—	10	1	no	—
1041	#126	—	10	1	no	—
1042	#126	—	10	1	no	—
1043	#126	—	10	1	no	—
1044	#125	—	5	1	no	—
1045	#125	—	5	1	no	—
1046	#125	—	10	1	no	—
1047	#125	—	10	1	no	—
1048	#124	—	2	1	no	—
1049	#124	—	5	1	no	—
1050	#124	—	5	1	no	—
1051	#124	—	5	1	no	—
1052	#124	—	5	1	no	—
1053	#124	—	5	1	no	—
1054	#124	—	5	1	no	—
1055	#124	—	10	1	no	—
1056	#124	—	10	1	no	—
1057	#124	—	10	1	no	—
1058	#124	—	10	1	no	—
1059	#124	—	10	1	no	—
1060	#124	—	10	1	no	—
1061	#124	—	10	1	no	—
1062	#124	—	10	1	no	—
1063	#124	—	10	1	no	—
1064	#124	—	10	1	no	—
1065	#124	—	10	1	no	—
1066	#124	—	10	1	no	—
1067	#124	—	10	1	no	—
1068	#123	—	2	1	no	—
1069	#123	—	2	1	no	—
1070	#123	—	10	1	no	—
1071	#123	—	10	1	no	—
1072	#123	—	10	1	no	—
1073	#123	—	10	1	no	—
1074	#123	—	10	1	no	—
1075	#123	—	10	1	no	—
1076	#123	—	10	1	no	—
1077	#123	—	10	1	no	—
1078	#123	—	10	1	no	—
1079	#123	—	10	1	no	—
1080	#123	—	10	1	no	—
1081	#123	—	10	1	no	—
1082	C₂²⋊Q₈	—	2	1	no	—
1083	C₂²⋊Q₈	—	5	1	no	—
1084	C₂²⋊Q₈	—	5	1	no	—
1085	C₂²⋊Q₈	—	10	1	no	—
1086	C₂²⋊Q₈	—	10	1	no	—
1087	C₂²⋊Q₈	—	10	1	no	—
1088	C₂²⋊Q₈	—	10	1	no	—
1089	C₂²⋊Q₈	—	10	1	no	—
1090	C₂²⋊Q₈	—	10	1	no	—
1091	C₂²⋊Q₈	—	10	1	no	—
1092	C₂²⋊Q₈	—	10	1	no	—
1093	C₂²⋊Q₈	—	10	1	no	—
1094	C₂²⋊Q₈	—	10	1	no	—
1095	C₂²⋊Q₈	—	10	1	no	—
1096	C₂²⋊Q₈	—	10	1	no	—
1097	C₂²⋊Q₈	—	10	1	no	—
1098	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1099	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1100	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1101	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1102	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1103	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1104	#121	—	2	1	no	—
1105	#121	—	2	1	no	—
1106	#121	—	2	1	no	—
1107	#121	—	5	1	no	—
1108	#121	—	5	1	no	—
1109	#121	—	5	1	no	—
1110	#121	—	5	1	no	—
1111	#121	—	5	1	no	—
1112	#121	—	5	1	no	—
1113	#121	—	10	1	no	—
1114	#121	—	10	1	no	—
1115	#121	—	10	1	no	—
1116	#121	—	10	1	no	—
1117	#121	—	10	1	no	—
1118	#121	—	10	1	no	—
1119	#121	—	10	1	no	—
1120	#121	C₂²×D₅	1	1	yes	characteristic
1121	#121	C₂²×D₅	1	1	yes	characteristic
1122	#120	—	10	1	no	—
1123	#120	—	10	1	no	—
1124	C₄×Q₈	—	5	1	no	—
1125	C₄×Q₈	—	5	1	no	—
1126	C₄×Q₈	—	5	1	no	—
1127	C₄×Q₈	—	5	1	no	—
1128	C₄×Q₈	—	5	1	no	—
1129	C₄×Q₈	—	5	1	no	—
1130	C₄×Q₈	—	5	1	no	—
1131	C₄×Q₈	—	5	1	no	—
1132	C₄×Q₈	—	5	1	no	—
1133	C₄×Q₈	—	5	1	no	—
1134	C₄×Q₈	—	10	1	no	—
1135	C₄×Q₈	—	10	1	no	—
1136	C₄×Q₈	—	10	1	no	—
1137	C₄×Q₈	—	10	1	no	—
1138	C₄×Q₈	—	10	1	no	—
1139	C₄×Q₈	—	10	1	no	—
1140	C₄×D₄	—	5	1	no	—
1141	C₄×D₄	—	5	1	no	—
1142	C₄×D₄	—	5	1	no	—
1143	C₄×D₄	—	5	1	no	—
1144	C₄×D₄	—	5	1	no	—
1145	C₄×D₄	—	5	1	no	—
1146	C₄×D₄	—	5	1	no	—
1147	C₄×D₄	—	5	1	no	—
1148	C₄×D₄	—	5	1	no	—
1149	C₄×D₄	—	5	1	no	—
1150	C₄×D₄	—	5	1	no	—
1151	C₄×D₄	—	5	1	no	—
1152	C₄×D₄	—	5	1	no	—
1153	C₄×D₄	—	5	1	no	—
1154	C₄×D₄	—	10	1	no	—
1155	C₄×D₄	—	10	1	no	—
1156	C₄×D₄	—	10	1	no	—
1157	C₄×D₄	—	10	1	no	—
1158	C₄×D₄	—	10	1	no	—
1159	C₄×D₄	—	10	1	no	—
1160	C₄×D₄	—	10	1	no	—
1161	C₄×D₄	—	10	1	no	—
1162	C₄×D₄	—	10	1	no	—
1163	C₄×D₄	—	10	1	no	—
1164	C₄×D₄	—	10	1	no	—
1165	C₄×D₄	—	10	1	no	—
1166	C₄×D₄	—	10	1	no	—
1167	C₄×D₄	—	10	1	no	—
1168	#117	—	5	1	no	—
1169	#117	—	5	1	no	—
1170	#117	—	5	1	no	—
1171	#117	—	5	1	no	—
1172	#117	—	10	1	no	—
1173	#117	—	10	1	no	—
1174	#117	—	10	1	no	—
1175	#117	—	10	1	no	—
1176	#117	—	10	1	no	—
1177	#117	—	10	1	no	—
1178	#117	—	10	1	no	—
1179	#117	—	10	1	no	—
1180	#117	—	10	1	no	—
1181	#117	—	10	1	no	—
1182	#117	C₂²×D₅	1	1	yes	characteristic
1183	C₂×C₄⋊C₄	—	5	1	no	—
1184	C₂×C₄⋊C₄	—	10	1	no	—
1185	C₂×C₄⋊C₄	—	10	1	no	—
1186	C₂×C₄⋊C₄	—	10	1	no	—
1187	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1188	C₂×C₂²⋊C₄	—	10	1	no	—
1189	C₂×C₂²⋊C₄	—	10	1	no	—
1190	C₂×C₂²⋊C₄	—	10	1	no	—
1191	C₂×C₂²⋊C₄	—	10	1	no	—
1192	C₂×C₄²	—	5	1	no	—
1193	C₂×C₄²	—	5	1	no	—
1194	C₂×C₄²	—	5	1	no	—
1195	#107	—	5	1	no	—
1196	#107	—	5	1	no	—
1197	#107	—	5	1	no	—
1198	#107	—	5	1	no	—
1199	#107	—	5	1	no	—
1200	#107	—	5	1	no	—
1201	#107	C₂²×D₅	1	1	yes	characteristic
1202	#107	C₂²×D₅	1	1	yes	characteristic
1203	#106	—	5	1	no	—
1204	#106	—	5	1	no	—
1205	#106	—	5	1	no	—
1206	#106	—	5	1	no	—
1207	#106	—	5	1	no	—
1208	#106	—	5	1	no	—
1209	#106	C₂²×D₅	1	1	yes	characteristic
1210	#106	C₂²×D₅	1	1	yes	characteristic
1211	C₄⋊C₈	—	5	1	no	—
1212	C₄⋊C₈	—	5	1	no	—
1213	C₄⋊C₈	—	5	1	no	—
1214	C₄⋊C₈	—	5	1	no	—
1215	C₄⋊C₈	—	5	1	no	—
1216	C₄⋊C₈	—	5	1	no	—
1217	C₄⋊C₈	—	5	1	no	—
1218	C₄⋊C₈	—	5	1	no	—
1219	#103	—	5	1	no	—
1220	#103	—	5	1	no	—
1221	#103	—	5	1	no	—
1222	#103	—	5	1	no	—
1223	#103	—	5	1	no	—
1224	#103	—	5	1	no	—
1225	#103	—	5	1	no	—
1226	#103	—	5	1	no	—
1227	#103	—	5	1	no	—
1228	#103	—	5	1	no	—
1229	#103	C₂²×D₅	1	1	yes	characteristic
1230	#103	C₂²×D₅	1	1	yes	characteristic
1231	#103	C₂²×D₅	1	1	yes	characteristic
1232	#103	C₂²×D₅	1	1	yes	characteristic
1233	#103	C₂²×D₅	1	1	yes	characteristic
1234	#103	C₂²×D₅	1	1	yes	characteristic
1235	#102	—	5	1	no	—
1236	#102	—	5	1	no	—
1237	#102	—	5	1	no	—
1238	#102	—	5	1	no	—
1239	#102	—	5	1	no	—
1240	#102	—	5	1	no	—
1241	#102	—	5	1	no	—
1242	#102	—	5	1	no	—
1243	#102	—	5	1	no	—
1244	#102	—	5	1	no	—
1245	#102	—	5	1	no	—
1246	#102	—	5	1	no	—
1247	#102	—	5	1	no	—
1248	#102	—	5	1	no	—
1249	#102	C₂²×D₅	1	1	yes	characteristic
1250	#102	C₂²×D₅	1	1	yes	characteristic
1251	C₂²⋊C₈	—	5	1	no	—
1252	C₂²⋊C₈	—	5	1	no	—
1253	C₂²⋊C₈	—	5	1	no	—
1254	C₂²⋊C₈	—	5	1	no	—
1255	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1256	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1257	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1258	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1259	#97	—	5	1	no	—
1260	#97	—	5	1	no	—
1261	#97	—	5	1	no	—
1262	#97	—	5	1	no	—
1263	#97	—	5	1	no	—
1264	#97	—	5	1	no	—
1265	C₄×C₈	—	5	1	no	—
1266	C₄×C₈	—	5	1	no	—
1267	C₂²×C₅	—	2	1	no	—
1268	C₂²×C₅	—	2	1	no	—
1269	C₂²×C₅	—	2	1	no	—
1270	C₂²×C₅	—	2	1	no	—
1271	C₂²×C₅	—	2	1	no	—
1272	C₂²×C₅	—	2	1	no	—
1273	C₂²×C₅	—	2	1	no	—
1274	C₂²×C₅	—	2	1	no	—
1275	C₂²×C₅	—	2	1	no	—
1276	C₂²×C₅	—	4	1	no	—
1277	C₂²×C₅	—	4	1	no	—
1278	C₂²×C₅	—	4	1	no	—
1279	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1280	C₂×D₅	—	4	1	no	—
1281	C₂×D₅	—	4	1	no	—
1282	C₂×D₅	—	4	1	no	—
1283	C₂×D₅	—	4	1	no	—
1284	C₂×D₅	—	4	1	no	—
1285	C₂×D₅	—	4	1	no	—
1286	C₂×D₅	—	4	1	no	—
1287	C₂×D₅	—	4	1	no	—
1288	C₂×D₅	—	4	1	no	—
1289	C₂×D₅	—	16	2	no	—
1290	C₄×C₅	—	2	1	no	—
1291	C₄×C₅	—	2	1	no	—
1292	C₄×C₅	—	2	1	no	—
1293	C₄×C₅	—	4	1	no	—
1294	C₄×C₅	—	4	1	no	—
1295	C₄×C₅	—	4	1	no	—
1296	C₄×C₅	—	4	1	no	—
1297	C₄×C₅	—	4	1	no	—
1298	C₄×C₅	—	4	1	no	—
1299	C₄×C₅	—	4	1	no	—
1300	C₄×C₅	#585	1	1	yes	characteristic
1301	C₄×C₅	#585	1	1	yes	characteristic
1302	Dic₅	—	2	1	no	—
1303	Dic₅	—	2	1	no	—
1304	Dic₅	—	2	1	no	—
1305	Dic₅	—	2	1	no	—
1306	Dic₅	—	2	1	no	—
1307	Dic₅	—	2	1	no	—
1308	Dic₅	—	2	1	no	—
1309	Dic₅	—	2	1	no	—
1310	Dic₅	—	4	1	no	—
1311	Dic₅	—	4	1	no	—
1312	Dic₅	—	4	1	no	—
1313	Dic₅	—	4	1	no	—
1314	Dic₅	—	4	1	no	—
1315	C₂⁴	—	10	1	no	—
1316	#41	—	4	1	no	—
1317	#41	—	4	1	no	—
1318	#41	—	4	1	no	—
1319	#41	—	4	1	no	—
1320	#41	—	20	1	no	—
1321	#41	—	20	1	no	—
1322	#41	—	40	2	no	—
1323	#41	—	40	2	no	—
1324	C₂×Q₈	—	2	1	no	—
1325	C₂×Q₈	—	4	1	no	—
1326	C₂×Q₈	—	4	1	no	—
1327	C₂×Q₈	—	5	1	no	—
1328	C₂×Q₈	—	10	1	no	—
1329	C₂×Q₈	—	10	1	no	—
1330	C₂×Q₈	—	10	1	no	—
1331	C₂×Q₈	—	10	1	no	—
1332	C₂×Q₈	—	10	1	no	—
1333	C₂×Q₈	—	10	1	no	—
1334	C₂×Q₈	—	40	2	no	—
1335	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1336	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1337	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1338	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1339	C₂×D₄	—	2	1	no	—
1340	C₂×D₄	—	2	1	no	—
1341	C₂×D₄	—	2	1	no	—
1342	C₂×D₄	—	5	1	no	—
1343	C₂×D₄	—	5	1	no	—
1344	C₂×D₄	—	5	1	no	—
1345	C₂×D₄	—	10	1	no	—
1346	C₂×D₄	—	10	1	no	—
1347	C₂×D₄	—	10	1	no	—
1348	C₂×D₄	—	10	1	no	—
1349	C₂×D₄	—	10	1	no	—
1350	C₂×D₄	—	10	1	no	—
1351	C₂×D₄	—	10	1	no	—
1352	C₂×D₄	—	10	1	no	—
1353	C₂×D₄	—	10	1	no	—
1354	C₂×D₄	—	10	1	no	—
1355	C₂×D₄	—	20	1	no	—
1356	C₂×D₄	—	20	1	no	—
1357	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1358	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1359	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1360	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1361	C₂²×C₄	—	2	1	no	—
1362	C₂²×C₄	—	2	1	no	—
1363	C₂²×C₄	—	2	1	no	—
1364	C₂²×C₄	—	5	1	no	—
1365	C₂²×C₄	—	5	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	—	10	1	no	—
1371	C₂²×C₄	—	10	1	no	—
1372	C₂²×C₄	—	10	1	no	—
1373	C₂²×C₄	—	10	1	no	—
1374	C₂²×C₄	—	10	1	no	—
1375	C₂²×C₄	—	10	1	no	—
1376	C₂²×C₄	—	10	1	no	—
1377	C₂²×C₄	—	10	1	no	—
1378	C₂²×C₄	—	10	1	no	—
1379	C₂²×C₄	—	10	1	no	—
1380	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1381	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1382	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1383	Q₁₆	—	4	1	no	—
1384	Q₁₆	—	4	1	no	—
1385	Q₁₆	—	20	1	no	—
1386	Q₁₆	—	20	1	no	—
1387	SD₁₆	—	4	1	no	—
1388	SD₁₆	—	4	1	no	—
1389	SD₁₆	—	20	1	no	—
1390	SD₁₆	—	20	1	no	—
1391	SD₁₆	—	20	1	no	—
1392	SD₁₆	—	20	1	no	—
1393	SD₁₆	—	20	1	no	—
1394	SD₁₆	—	20	1	no	—
1395	D₈	—	20	1	no	—
1396	D₈	—	20	1	no	—
1397	D₈	—	20	1	no	—
1398	D₈	—	20	1	no	—
1399	M₁₆	—	4	1	no	—
1400	M₁₆	—	20	1	no	—
1401	C₂×C₈	—	4	1	no	—
1402	C₂×C₈	—	5	1	no	—
1403	C₂×C₈	—	5	1	no	—
1404	C₂×C₈	—	5	1	no	—
1405	C₂×C₈	—	5	1	no	—
1406	C₂×C₈	—	20	1	no	—
1407	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1408	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1409	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1410	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	5	1	no	—
1419	C₄⋊C₄	—	5	1	no	—
1420	C₄⋊C₄	—	5	1	no	—
1421	C₄⋊C₄	—	5	1	no	—
1422	C₄⋊C₄	—	5	1	no	—
1423	C₄⋊C₄	—	5	1	no	—
1424	C₄⋊C₄	—	5	1	no	—
1425	C₄⋊C₄	—	5	1	no	—
1426	C₄⋊C₄	—	5	1	no	—
1427	C₄⋊C₄	—	5	1	no	—
1428	C₄⋊C₄	—	10	1	no	—
1429	C₄⋊C₄	—	10	1	no	—
1430	C₄⋊C₄	—	10	1	no	—
1431	C₄⋊C₄	—	10	1	no	—
1432	C₄⋊C₄	—	10	1	no	—
1433	C₄⋊C₄	—	10	1	no	—
1434	C₄⋊C₄	—	10	1	no	—
1435	C₄⋊C₄	—	10	1	no	—
1436	C₄⋊C₄	—	10	1	no	—
1437	C₄⋊C₄	—	10	1	no	—
1438	C₄⋊C₄	—	10	1	no	—
1439	C₄⋊C₄	—	10	1	no	—
1440	C₄⋊C₄	—	10	1	no	—
1441	C₄⋊C₄	—	10	1	no	—
1442	C₄⋊C₄	—	10	1	no	—
1443	C₄⋊C₄	—	10	1	no	—
1444	C₄⋊C₄	—	10	1	no	—
1445	C₄⋊C₄	—	10	1	no	—
1446	C₄⋊C₄	—	10	1	no	—
1447	C₄⋊C₄	—	10	1	no	—
1448	C₄⋊C₄	—	10	1	no	—
1449	C₄⋊C₄	—	10	1	no	—
1450	C₄⋊C₄	—	10	1	no	—
1451	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1452	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1453	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1454	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1455	C₂²⋊C₄	—	2	1	no	—
1456	C₂²⋊C₄	—	2	1	no	—
1457	C₂²⋊C₄	—	2	1	no	—
1458	C₂²⋊C₄	—	2	1	no	—
1459	C₂²⋊C₄	—	2	1	no	—
1460	C₂²⋊C₄	—	2	1	no	—
1461	C₂²⋊C₄	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	5	1	no	—
1465	C₂²⋊C₄	—	5	1	no	—
1466	C₂²⋊C₄	—	5	1	no	—
1467	C₂²⋊C₄	—	5	1	no	—
1468	C₂²⋊C₄	—	5	1	no	—
1469	C₂²⋊C₄	—	5	1	no	—
1470	C₂²⋊C₄	—	10	1	no	—
1471	C₂²⋊C₄	—	10	1	no	—
1472	C₂²⋊C₄	—	10	1	no	—
1473	C₂²⋊C₄	—	10	1	no	—
1474	C₂²⋊C₄	—	10	1	no	—
1475	C₂²⋊C₄	—	10	1	no	—
1476	C₂²⋊C₄	—	10	1	no	—
1477	C₂²⋊C₄	—	10	1	no	—
1478	C₂²⋊C₄	—	10	1	no	—
1479	C₂²⋊C₄	—	10	1	no	—
1480	C₂²⋊C₄	—	10	1	no	—
1481	C₂²⋊C₄	—	10	1	no	—
1482	C₂²⋊C₄	—	10	1	no	—
1483	C₂²⋊C₄	—	10	1	no	—
1484	C₂²⋊C₄	—	10	1	no	—
1485	C₂²⋊C₄	—	10	1	no	—
1486	C₂²⋊C₄	—	10	1	no	—
1487	C₂²⋊C₄	—	10	1	no	—
1488	C₂²⋊C₄	—	10	1	no	—
1489	C₂²⋊C₄	—	10	1	no	—
1490	C₂²⋊C₄	—	10	1	no	—
1491	C₂²⋊C₄	—	10	1	no	—
1492	C₂²⋊C₄	—	10	1	no	—
1493	C₂²⋊C₄	—	10	1	no	—
1494	C₂²⋊C₄	—	10	1	no	—
1495	C₂²⋊C₄	—	10	1	no	—
1496	C₂²⋊C₄	—	10	1	no	—
1497	C₂²⋊C₄	—	10	1	no	—
1498	C₂²⋊C₄	—	10	1	no	—
1499	C₄²	—	2	1	no	—
1500	C₄²	—	5	1	no	—
1501	C₄²	—	5	1	no	—
1502	C₄²	—	5	1	no	—
1503	C₄²	—	5	1	no	—
1504	C₄²	—	5	1	no	—
1505	C₄²	—	5	1	no	—
1506	C₄²	—	5	1	no	—
1507	C₄²	—	5	1	no	—
1508	C₄²	—	5	1	no	—
1509	C₄²	—	5	1	no	—
1510	C₄²	—	10	1	no	—
1511	C₄²	—	10	1	no	—
1512	C₄²	—	10	1	no	—
1513	C₄²	—	10	1	no	—
1514	C₄²	—	10	1	no	—
1515	C₄²	—	10	1	no	—
1516	C₄²	—	10	1	no	—
1517	C₄²	—	10	1	no	—
1518	C₄²	—	10	1	no	—
1519	C₂×C₅	—	4	1	no	—
1520	C₂×C₅	—	4	1	no	—
1521	C₂×C₅	—	4	1	no	—
1522	C₂×C₅	—	8	1	no	—
1523	C₂×C₅	#3449	1	1	yes	characteristic
1524	C₂×C₅	#3585	1	1	yes	characteristic
1525	C₂×C₅	#3586	1	1	yes	characteristic
1526	D₅	—	8	1	no	—
1527	D₅	—	8	1	no	—
1528	D₅	—	8	1	no	—
1529	C₂³	—	2	1	no	—
1530	C₂³	—	10	1	no	—
1531	C₂³	—	10	1	no	—
1532	C₂³	—	10	1	no	—
1533	C₂³	—	20	2	no	—
1534	C₂³	—	40	1	no	—
1535	C₂³	—	40	1	no	—
1536	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1537	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1538	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1539	Q₈	—	2	1	no	—
1540	Q₈	—	2	1	no	—
1541	Q₈	—	2	1	no	—
1542	Q₈	—	2	1	no	—
1543	Q₈	—	2	1	no	—
1544	Q₈	—	2	1	no	—
1545	Q₈	—	4	1	no	—
1546	Q₈	—	4	2	no	—
1547	Q₈	—	10	1	no	—
1548	Q₈	—	10	1	no	—
1549	Q₈	—	20	2	no	—
1550	Q₈	—	20	2	no	—
1551	Q₈	—	40	1	no	—
1552	Q₈	—	40	1	no	—
1553	Q₈	—	40	1	no	—
1554	Q₈	—	40	1	no	—
1555	D₄	—	2	1	no	—
1556	D₄	—	2	1	no	—
1557	D₄	—	4	1	no	—
1558	D₄	—	4	1	no	—
1559	D₄	—	4	1	no	—
1560	D₄	—	4	2	no	—
1561	D₄	—	8	1	no	—
1562	D₄	—	8	1	no	—
1563	D₄	—	10	1	no	—
1564	D₄	—	10	1	no	—
1565	D₄	—	10	1	no	—
1566	D₄	—	10	1	no	—
1567	D₄	—	10	1	no	—
1568	D₄	—	10	1	no	—
1569	D₄	—	20	2	no	—
1570	D₄	—	20	2	no	—
1571	D₄	—	20	2	no	—
1572	D₄	—	20	2	no	—
1573	D₄	—	40	1	no	—
1574	D₄	—	40	1	no	—
1575	D₄	—	40	1	no	—
1576	D₄	—	40	1	no	—
1577	D₄	—	40	1	no	—
1578	D₄	—	40	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	4	2	no	—
1593	C₂×C₄	—	4	2	no	—
1594	C₂×C₄	—	5	1	no	—
1595	C₂×C₄	—	5	1	no	—
1596	C₂×C₄	—	5	1	no	—
1597	C₂×C₄	—	5	1	no	—
1598	C₂×C₄	—	5	1	no	—
1599	C₂×C₄	—	5	1	no	—
1600	C₂×C₄	—	5	1	no	—
1601	C₂×C₄	—	5	1	no	—
1602	C₂×C₄	—	8	1	no	—
1603	C₂×C₄	—	10	1	no	—
1604	C₂×C₄	—	10	1	no	—
1605	C₂×C₄	—	10	1	no	—
1606	C₂×C₄	—	10	1	no	—
1607	C₂×C₄	—	10	1	no	—
1608	C₂×C₄	—	20	2	no	—
1609	C₂×C₄	—	20	1	no	—
1610	C₂×C₄	—	20	1	no	—
1611	C₂×C₄	—	20	1	no	—
1612	C₂×C₄	—	20	1	no	—
1613	C₂×C₄	—	20	1	no	—
1614	C₂×C₄	—	20	1	no	—
1615	C₂×C₄	—	40	1	no	—
1616	C₂×C₄	—	40	1	no	—
1617	C₂×C₄	—	40	1	no	—
1618	C₂×C₄	—	40	1	no	—
1619	C₂×C₄	—	40	1	no	—
1620	C₂×C₄	—	40	1	no	—
1621	C₂×C₄	—	40	1	no	—
1622	C₂×C₄	—	40	1	no	—
1623	C₂×C₄	—	40	1	no	—
1624	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1625	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1626	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1627	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1628	C₈	—	2	1	no	—
1629	C₈	—	2	1	no	—
1630	C₈	—	2	1	no	—
1631	C₈	—	2	1	no	—
1632	C₈	—	10	1	no	—
1633	C₈	—	10	1	no	—
1634	C₈	—	10	1	no	—
1635	C₈	—	10	1	no	—
1636	C₅	#61016	1	1	yes	characteristic, complemented, Sylow
1637	C₂²	—	2	1	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	1	no	—
1642	C₂²	—	2	1	no	—
1643	C₂²	—	2	1	no	—
1644	C₂²	—	2	1	no	—
1645	C₂²	—	2	1	no	—
1646	C₂²	—	4	1	no	—
1647	C₂²	—	4	1	no	—
1648	C₂²	—	4	1	no	—
1649	C₂²	—	20	1	no	—
1650	C₂²	—	20	1	no	—
1651	C₂²	—	20	1	no	—
1652	C₂²	—	20	1	no	—
1653	C₂²	—	20	1	no	—
1654	C₂²	—	20	1	no	—
1655	C₂²	—	20	1	no	—
1656	C₂²	—	20	1	no	—
1657	C₂²	—	20	1	no	—
1658	C₂²	—	80	2	no	—
1659	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1660	C₄	—	2	1	no	—
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	4	1	no	—
1664	C₄	—	4	1	no	—
1665	C₄	—	4	1	no	—
1666	C₄	—	4	1	no	—
1667	C₄	—	4	1	no	—
1668	C₄	—	4	1	no	—
1669	C₄	—	4	1	no	—
1670	C₄	—	10	1	no	—
1671	C₄	—	10	1	no	—
1672	C₄	—	10	1	no	—
1673	C₄	—	10	1	no	—
1674	C₄	—	10	1	no	—
1675	C₄	—	10	1	no	—
1676	C₄	—	10	1	no	—
1677	C₄	—	10	1	no	—
1678	C₄	—	20	1	no	—
1679	C₄	—	20	1	no	—
1680	C₄	—	20	1	no	—
1681	C₄	—	20	1	no	—
1682	C₄	—	20	1	no	—
1683	C₄	#66285	1	1	yes	characteristic
1684	C₄	#66285	1	1	yes	characteristic
1685	C₂	—	4	1	no	—
1686	C₂	—	4	1	no	—
1687	C₂	—	4	1	no	—
1688	C₂	—	8	1	no	—
1689	C₂	—	40	1	no	—
1690	C₂	—	40	1	no	—
1691	C₂	—	40	1	no	—
1692	C₂	#10618195	1	1	yes	characteristic
1693	C₂	#10619108	1	1	yes	characteristic
1694	C₂	#10619112	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×#3201	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3201	D₅
hypocenter	C₅	#61016
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₂×#41 ◁ #3201

Complements

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

N	H ≅ G/N	type
1. #10618269	C₂	semidirect
2. #10618245	C₂	semidirect
3. C₅×#3201	C₂	semidirect
4. #10615156	C₂	semidirect
5. #10615139	C₂	semidirect
6. #10613233	C₂	semidirect
7. #10613227	C₂	semidirect
8. #10613190	C₂	semidirect
9. #10613188	C₂	semidirect
10. #10613152	C₂	semidirect
11. #10613148	C₂	semidirect
12. #10613089	C₂	semidirect
13. #10613083	C₂	semidirect
14. #10612630	C₂	semidirect
15. #10612619	C₂	semidirect
16. #10612530	C₂	semidirect
17. #10612515	C₂	semidirect
18. #10612482	C₂	semidirect
19. #10612476	C₂	semidirect
20. #10612378	C₂	semidirect
21. #10612369	C₂	semidirect
22. #10611954	C₂	semidirect
23. #10611954	C₂	semidirect
24. #10611950	C₂	semidirect
25. #10611949	C₂	semidirect
26. #10611933	C₂	semidirect
27. #10611907	C₂	semidirect
28. #10611789	C₂	semidirect
29. #10611763	C₂	semidirect
30. #10610404	C₂	semidirect
31. #10610380	C₂	semidirect
35. #66166	C₂²	semidirect
37. #66161	C₂²	semidirect
54. #65977	C₂²	semidirect
62. #65956	C₂²	semidirect
66. #65937	C₂²	semidirect
72. #65930	C₂²	semidirect
75. #65838	C₂²	semidirect
76. C₂×#4034	C₂²	semidirect
78. C₅×#484	C₂²	semidirect
79. C₅×#483	C₂²	semidirect
81. C₅×#470	C₂²	semidirect
82. C₅×#468	C₂²	semidirect
83. C₅×#467	C₂²	semidirect
84. C₅×#465	C₂²	semidirect
85. C₅×#452	C₂²	semidirect
86. C₅×#452	C₂²	semidirect
99. #65474	C₂²	semidirect
100. #65474	C₂²	semidirect
101. #65473	C₂²	semidirect
102. Q₁₆×Dic₅	C₂²	semidirect
105. #65455	C₂²	semidirect
106. #65455	C₂²	semidirect
109. #65453	C₂²	semidirect
110. SD₁₆×Dic₅	C₂²	semidirect
113. #65408	C₂²	semidirect
114. M₁₆×Dic₅	C₂²	semidirect
117. #65391	C₂²	semidirect
118. C₂×#3947	C₂²	semidirect
119. #65341	C₂²	semidirect
120. #65340	C₂²	semidirect
122. #65338	C₂²	semidirect
124. #65337	C₂²	semidirect
125. #65336	C₂²	semidirect
126. #65336	C₂²	semidirect
129. #65333	C₂²	semidirect
130. #65332	C₂²	semidirect
141. #65179	C₂²	semidirect
143. #65165	C₂²	semidirect
144. #65165	C₂²	semidirect
145. #65164	C₂²	semidirect
149. #65159	C₂²	semidirect
151. #65145	C₂²	semidirect
152. #65145	C₂²	semidirect
153. #65143	C₂²	semidirect
160. #65106	C₂²	semidirect
163. #65086	C₂²	semidirect
164. #65086	C₂²	semidirect
169. #65083	C₂²	semidirect
170. #65083	C₂²	semidirect
171. #65083	C₂²	semidirect
172. #65080	C₂²	semidirect
173. #65080	C₂²	semidirect
174. #65080	C₂²	semidirect
175. #65079	C₂²	semidirect
176. #65078	C₂²	semidirect
178. #65077	C₂²	semidirect
182. #65053	C₂²	semidirect
183. #65053	C₂²	semidirect
184. #65050	C₂²	semidirect
185. #65048	C₂²	semidirect
197. #65009	C₂²	semidirect
198. #65009	C₂²	semidirect
201. #65008	C₂²	semidirect
202. #65008	C₂²	semidirect
494. #3201	D₅	semidirect
780. #484	C₂×D₅	semidirect
782. #483	C₂×D₅	semidirect
808. #470	C₂×D₅	semidirect
814. #468	C₂×D₅	semidirect
816. #467	C₂×D₅	semidirect
822. #465	C₂×D₅	semidirect
841. #452	C₂×D₅	semidirect
842. #452	C₂×D₅	semidirect
1636. C₅	#61016	semidirect

Maximal subgroups

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

subgroup	index
#10618269	2
#10618245	2
C₅×#3201	2
#10615156	2
#10615139	2
#10613233	2
#10613227	2
#10613190	2
#10613188	2
#10613152	2
#10613148	2
#10613089	2
#10613083	2
#10612630	2
#10612619	2
#10612530	2
#10612515	2
#10612482	2
#10612476	2
#10612378	2
#10612369	2
#10611954	2
#10611950	2
#10611949	2
#10611933	2
#10611907	2
#10611789	2
#10611763	2
#10610404	2
#10610380	2
#61016	5