Subgroups — #12989639

Order 1280.

1772 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618850	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618840	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3389	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615369	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615364	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613717	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613710	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613701	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613695	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613653	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613643	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612908	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612903	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612889	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612887	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612883	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612883	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612877	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612877	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612723	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612704	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612693	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612679	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611700	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611697	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611605	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611600	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611582	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611582	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611327	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611298	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#554	C₂²	1	1	yes	characteristic
33	C₅×#554	C₂²	1	1	yes	characteristic, complemented
34	#66064	C₂²	1	1	yes	characteristic, complemented
35	#66063	C₂²	1	1	yes	characteristic
36	#66061	C₂²	1	1	yes	characteristic
37	#66059	C₂²	1	1	yes	characteristic
38	#66032	C₂²	1	1	yes	characteristic
39	#66032	C₂²	1	1	yes	characteristic
40	#66024	C₂²	1	1	yes	characteristic
41	#66024	C₂²	1	1	yes	characteristic
42	#66024	C₂²	1	1	yes	characteristic, complemented
43	#66024	C₂²	1	1	yes	characteristic, complemented
44	#66023	C₂²	1	1	yes	characteristic
45	#66022	C₂²	1	1	yes	characteristic
46	#65981	—	2	1	no	—
47	#65981	—	2	1	no	—
48	#65970	—	2	1	no	—
49	#65970	—	2	1	no	—
50	#65968	—	2	1	no	—
51	#65968	—	2	1	no	—
52	#65966	—	2	1	no	—
53	#65965	—	2	1	no	—
54	#65963	—	2	1	no	—
55	#65963	—	2	1	no	—
56	#65963	—	2	1	no	—
57	D₅×C₂²⋊Q₈	—	2	1	no	—
58	#65913	C₂²	1	1	yes	characteristic
59	#65912	C₂²	1	1	yes	characteristic
60	#65911	C₂²	1	1	yes	characteristic, complemented
61	#65896	C₂²	1	1	yes	characteristic
62	#65896	C₂²	1	1	yes	characteristic
63	#65887	C₂²	1	1	yes	characteristic, complemented
64	#65887	C₂²	1	1	yes	characteristic, complemented
65	#65887	C₂²	1	1	yes	characteristic, complemented
66	#65882	C₂²	1	1	yes	characteristic
67	#65879	C₂²	1	1	yes	characteristic
68	#65879	C₂²	1	1	yes	characteristic
69	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
70	#65873	C₂²	1	1	yes	characteristic
71	#65873	C₂²	1	1	yes	characteristic
72	D₄×Dic₁₀	C₂²	1	1	yes	characteristic
73	#65845	—	2	1	no	—
74	#65844	—	2	1	no	—
75	C₂×#4042	—	2	1	no	—
76	#65841	—	2	1	no	—
77	C₅×#501	C₂²	1	1	yes	characteristic, complemented
78	C₅×#501	C₂²	1	1	yes	characteristic, complemented
79	C₅×#499	C₂²	1	1	yes	characteristic, complemented
80	C₅×#478	C₂²	1	1	yes	characteristic
81	C₅×#478	C₂²	1	1	yes	characteristic
82	C₅×#478	C₂²	1	1	yes	characteristic, complemented
83	C₅×#478	C₂²	1	1	yes	characteristic, complemented
84	C₅×#474	C₂²	1	1	yes	characteristic
85	C₅×#474	C₂²	1	1	yes	characteristic, complemented
86	C₅×#446	C₂²	1	1	yes	characteristic, complemented
87	C₅×#442	C₂²	1	1	yes	characteristic
88	C₅×#442	C₂²	1	1	yes	characteristic
89	C₄×C₅×D₈	C₂²	1	1	yes	characteristic
90	#65445	C₂²	1	1	yes	characteristic
91	#65439	C₂²	1	1	yes	characteristic
92	#65439	C₂²	1	1	yes	characteristic
93	#65439	C₂²	1	1	yes	characteristic
94	#65377	C₂²	1	1	yes	characteristic, complemented
95	#65376	C₂²	1	1	yes	characteristic
96	#65373	C₂²	1	1	yes	characteristic, complemented
97	#65369	C₂²	1	1	yes	characteristic, complemented
98	#65356	C₂²	1	1	yes	characteristic, complemented
99	#65356	C₂²	1	1	yes	characteristic, complemented
100	#65355	C₂²	1	1	yes	characteristic
101	#65355	C₂²	1	1	yes	characteristic
102	#65355	C₂²	1	1	yes	characteristic, complemented
103	#65355	C₂²	1	1	yes	characteristic, complemented
104	#65354	C₂²	1	1	yes	characteristic, complemented
105	#65353	C₂²	1	1	yes	characteristic, complemented
106	#65313	C₂²	1	1	yes	characteristic, complemented
107	#65304	C₂²	1	1	yes	characteristic
108	#65304	C₂²	1	1	yes	characteristic
109	#65304	C₂²	1	1	yes	characteristic
110	#65303	C₂²	1	1	yes	characteristic
111	#65303	C₂²	1	1	yes	characteristic
112	#65303	C₂²	1	1	yes	characteristic
113	#65303	C₂²	1	1	yes	characteristic
114	C₄×#686	C₂²	1	1	yes	characteristic
115	C₄×#686	C₂²	1	1	yes	characteristic
116	#65298	C₂²	1	1	yes	characteristic, complemented
117	#65298	C₂²	1	1	yes	characteristic, complemented
118	#65296	C₂²	1	1	yes	characteristic, complemented
119	#65180	C₂²	1	1	yes	characteristic
120	#65180	C₂²	1	1	yes	characteristic, complemented
121	#65180	C₂²	1	1	yes	characteristic, complemented
122	#65179	C₂²	1	1	yes	characteristic, complemented
123	#65179	C₂²	1	1	yes	characteristic, complemented
124	#65179	C₂²	1	1	yes	characteristic, complemented
125	#65179	C₂²	1	1	yes	characteristic, complemented
126	#65174	C₂²	1	1	yes	characteristic
127	#65174	C₂²	1	1	yes	characteristic
128	#65174	C₂²	1	1	yes	characteristic
129	#65171	C₂²	1	1	yes	characteristic
130	#65171	C₂²	1	1	yes	characteristic
131	#65167	C₂²	1	1	yes	characteristic, complemented
132	#65165	C₂²	1	1	yes	characteristic, complemented
133	#65165	C₂²	1	1	yes	characteristic, complemented
134	#65163	C₂²	1	1	yes	characteristic, complemented
135	#65161	C₂²	1	1	yes	characteristic
136	#65161	C₂²	1	1	yes	characteristic
137	#65161	C₂²	1	1	yes	characteristic
138	#65161	C₂²	1	1	yes	characteristic
139	#65160	C₂²	1	1	yes	characteristic
140	#65160	C₂²	1	1	yes	characteristic, complemented
141	#65160	C₂²	1	1	yes	characteristic, complemented
142	#65159	C₂²	1	1	yes	characteristic
143	#65159	C₂²	1	1	yes	characteristic, complemented
144	#65159	C₂²	1	1	yes	characteristic, complemented
145	#65159	C₂²	1	1	yes	characteristic, complemented
146	#65159	C₂²	1	1	yes	characteristic, complemented
147	#65158	C₂²	1	1	yes	characteristic
148	#65158	C₂²	1	1	yes	characteristic
149	#65155	C₂²	1	1	yes	characteristic
150	#65155	C₂²	1	1	yes	characteristic
151	#65155	C₂²	1	1	yes	characteristic
152	#65152	C₂²	1	1	yes	characteristic
153	#65147	C₂²	1	1	yes	characteristic, complemented
154	#65144	C₂²	1	1	yes	characteristic, complemented
155	#65136	C₂²	1	1	yes	characteristic, complemented
156	#65136	C₂²	1	1	yes	characteristic, complemented
157	#65132	C₂²	1	1	yes	characteristic
158	#65132	C₂²	1	1	yes	characteristic
159	#65132	C₂²	1	1	yes	characteristic
160	#65131	C₂²	1	1	yes	characteristic, complemented
161	#65129	C₂²	1	1	yes	characteristic
162	#65129	C₂²	1	1	yes	characteristic
163	#65122	C₂²	1	1	yes	characteristic
164	#65119	C₂²	1	1	yes	characteristic, complemented
165	#65117	C₂²	1	1	yes	characteristic, complemented
166	#65117	C₂²	1	1	yes	characteristic, complemented
167	#65075	C₂²	1	1	yes	characteristic
168	#65075	C₂²	1	1	yes	characteristic
169	#65075	C₂²	1	1	yes	characteristic
170	#65074	C₂²	1	1	yes	characteristic
171	#65074	C₂²	1	1	yes	characteristic
172	#65073	C₂²	1	1	yes	characteristic
173	#65068	C₂²	1	1	yes	characteristic
174	#65066	C₂²	1	1	yes	characteristic
175	#65062	C₂²	1	1	yes	characteristic
176	#65062	C₂²	1	1	yes	characteristic
177	#65062	C₂²	1	1	yes	characteristic
178	#65055	C₂²	1	1	yes	characteristic
179	#65053	C₂²	1	1	yes	characteristic, complemented
180	#65053	C₂²	1	1	yes	characteristic, complemented
181	#65052	C₂²	1	1	yes	characteristic
182	#65050	C₂²	1	1	yes	characteristic
183	#65049	C₂²	1	1	yes	characteristic, complemented
184	#65049	C₂²	1	1	yes	characteristic, complemented
185	#65049	C₂²	1	1	yes	characteristic, complemented
186	#65049	C₂²	1	1	yes	characteristic, complemented
187	#65045	C₂²	1	1	yes	characteristic
188	#65045	C₂²	1	1	yes	characteristic
189	#65045	C₂²	1	1	yes	characteristic
190	#65045	C₂²	1	1	yes	characteristic
191	#65002	C₂²	1	1	yes	characteristic, complemented
192	#65002	C₂²	1	1	yes	characteristic, complemented
193	#65000	C₂²	1	1	yes	characteristic
194	#65000	C₂²	1	1	yes	characteristic
195	#64998	C₂²	1	1	yes	characteristic
196	#64994	C₂²	1	1	yes	characteristic
197	#64990	C₂²	1	1	yes	characteristic, complemented
198	#64990	C₂²	1	1	yes	characteristic, complemented
199	#64983	C₂²	1	1	yes	characteristic, complemented
200	C₄×D₄₀	C₂²	1	1	yes	characteristic
201	#64979	C₂²	1	1	yes	characteristic
202	C₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
203	#61847	—	5	1	no	maximal, Sylow
204	C₂×#713	—	2	1	no	—
205	C₂×#713	—	2	1	no	—
206	C₂×Q₈×D₅	—	2	1	no	—
207	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
208	C₂×#709	—	2	1	no	—
209	C₂×#709	—	2	1	no	—
210	C₂×#709	—	2	1	no	—
211	C₂×#709	—	2	1	no	—
212	C₂²×C₄×D₅	—	2	1	no	—
213	C₂²×Dic₁₀	—	2	1	no	—
214	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
215	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
217	C₅×#125	C₂³	1	1	yes	characteristic
218	C₅×#125	C₂³	1	1	yes	characteristic
219	C₅×#125	C₂³	1	1	yes	characteristic
220	C₅×#125	C₂³	1	1	yes	characteristic
221	C₅×C₂²⋊Q₈	—	2	1	no	—
222	C₅×C₂²⋊Q₈	—	2	1	no	—
223	C₅×C₂²⋊Q₈	—	2	1	no	—
224	C₅×C₂²⋊Q₈	—	2	1	no	—
225	C₅×C₂²⋊Q₈	—	2	1	no	—
226	C₅×C₂²⋊Q₈	—	2	1	no	—
227	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
228	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
229	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
230	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
231	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
232	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
233	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
234	C₂×C₅×C₄⋊C₄	—	2	1	no	—
235	C₂×C₅×C₄⋊C₄	—	2	1	no	—
236	#4093	—	2	1	no	—
237	#4092	—	2	1	no	—
238	#4092	—	2	1	no	—
239	#4092	—	2	1	no	—
240	#4092	—	2	1	no	—
241	#4092	—	2	1	no	—
242	#4092	D₄	1	1	yes	characteristic
243	#4090	—	2	1	no	—
244	#4090	D₄	1	1	yes	characteristic
245	#4086	C₂³	1	1	yes	characteristic
246	#4086	C₂³	1	1	yes	characteristic
247	#4086	C₂³	1	1	yes	characteristic
248	#4084	C₂³	1	1	yes	characteristic
249	D₄×Dic₅	C₂³	1	1	yes	characteristic
250	D₄×Dic₅	C₂³	1	1	yes	characteristic
251	D₄×Dic₅	C₂³	1	1	yes	characteristic
252	C₂×#686	C₂³	1	1	yes	characteristic
253	C₂×#686	C₂³	1	1	yes	characteristic
254	C₂×#686	C₂³	1	1	yes	characteristic
255	C₂×#686	C₂³	1	1	yes	characteristic
256	#4076	—	2	1	no	—
257	#4076	—	2	1	no	—
258	#4076	—	2	1	no	—
259	#4076	—	2	1	no	—
260	#4076	—	2	1	no	—
261	#4075	—	2	1	no	—
262	#4075	—	2	1	no	—
263	C₄×C₂²⋊D₅	—	2	1	no	—
264	C₄×C₂²⋊D₅	—	2	1	no	—
265	C₄×C₂²⋊D₅	—	2	1	no	—
266	C₄×C₂²⋊D₅	—	2	1	no	—
267	C₂×#685	—	2	1	no	—
268	C₂×#685	—	2	1	no	—
269	#4070	—	2	1	no	—
270	#4070	—	2	1	no	—
271	#4070	—	2	1	no	—
272	C₂×#683	—	2	1	no	—
273	C₂×#683	—	2	1	no	—
274	C₂×D₄₀	C₂³	1	1	yes	characteristic
275	C₂×D₄₀	C₂³	1	1	yes	characteristic
276	C₂×D₄₀	C₂³	1	1	yes	characteristic
277	#4043	—	2	1	no	—
278	#4043	—	2	1	no	—
279	#4043	—	2	1	no	—
280	#4043	—	2	1	no	—
281	#4043	—	2	1	no	—
282	#4043	—	2	1	no	—
283	#4043	D₄	1	1	yes	characteristic
284	#4042	—	2	1	no	—
285	#4042	—	2	1	no	—
286	#4042	—	2	1	no	—
287	#4042	—	2	1	no	—
288	#4042	—	2	1	no	—
289	#4042	—	2	1	no	—
290	#4042	—	2	1	no	—
291	#4042	—	2	1	no	—
292	#4042	—	2	1	no	—
293	#4042	—	2	1	no	—
294	#4042	—	2	1	no	—
295	#4042	—	2	1	no	—
296	#4042	—	2	1	no	—
297	#4042	—	2	1	no	—
298	#4042	—	2	1	no	—
299	#4042	—	2	1	no	—
300	#4042	D₄	1	1	yes	characteristic
301	#4042	D₄	1	1	yes	characteristic
302	#4041	—	2	1	no	—
303	#4041	—	2	1	no	—
304	#4041	—	2	1	no	—
305	#4041	—	2	1	no	—
306	#4041	—	2	1	no	—
307	#4041	—	2	1	no	—
308	#4041	—	2	1	no	—
309	#4041	—	2	1	no	—
310	#4041	C₂³	1	1	yes	characteristic
311	#4041	C₂³	1	1	yes	characteristic
312	#4041	C₂³	1	1	yes	characteristic
313	#4040	—	2	1	no	—
314	#4040	—	2	1	no	—
315	#4040	—	2	1	no	—
316	#4040	—	2	1	no	—
317	#4039	—	2	1	no	—
318	#4039	C₂³	1	1	yes	characteristic
319	#4039	C₂³	1	1	yes	characteristic
320	#4039	C₂³	1	1	yes	characteristic
321	#4039	C₂³	1	1	yes	characteristic
322	#4039	C₂³	1	1	yes	characteristic
323	#4039	C₂³	1	1	yes	characteristic
324	#4039	C₂³	1	1	yes	characteristic
325	#4039	C₂³	1	1	yes	characteristic
326	#4039	C₂³	1	1	yes	characteristic
327	#4038	C₂³	1	1	yes	characteristic
328	#4038	C₂³	1	1	yes	characteristic
329	D₅×C₄⋊C₄	—	2	1	no	—
330	D₅×C₄⋊C₄	—	2	1	no	—
331	D₅×C₄⋊C₄	—	2	1	no	—
332	D₅×C₄⋊C₄	—	2	1	no	—
333	D₅×C₄⋊C₄	—	2	1	no	—
334	D₅×C₄⋊C₄	—	2	1	no	—
335	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
336	#4036	C₂³	1	1	yes	characteristic
337	#4036	C₂³	1	1	yes	characteristic
338	#4036	C₂³	1	1	yes	characteristic
339	#4036	C₂³	1	1	yes	characteristic
340	#4035	—	2	1	no	—
341	#4035	—	2	1	no	—
342	#4035	D₄	1	1	yes	characteristic
343	#4035	D₄	1	1	yes	characteristic
344	#4034	—	2	1	no	—
345	#4034	D₄	1	1	yes	characteristic
346	#4034	C₂³	1	1	yes	characteristic
347	#4034	C₂³	1	1	yes	characteristic
348	#4034	C₂³	1	1	yes	characteristic
349	#4034	C₂³	1	1	yes	characteristic
350	#4034	C₂³	1	1	yes	characteristic
351	#4033	—	2	1	no	—
352	#4033	—	2	1	no	—
353	#4031	—	2	1	no	—
354	#4030	—	2	1	no	—
355	#4030	—	2	1	no	—
356	#4030	—	2	1	no	—
357	#4030	—	2	1	no	—
358	#4030	—	2	1	no	—
359	#4030	—	2	1	no	—
360	#4030	—	2	1	no	—
361	#4030	—	2	1	no	—
362	#4030	—	2	1	no	—
363	#4029	—	2	1	no	—
364	#4029	—	2	1	no	—
365	#4027	—	2	1	no	—
366	#4027	—	2	1	no	—
367	#4027	—	2	1	no	—
368	D₅×C₂²⋊C₄	—	2	1	no	—
369	D₅×C₂²⋊C₄	—	2	1	no	—
370	D₅×C₂²⋊C₄	—	2	1	no	—
371	#4024	—	2	1	no	—
372	#4024	—	2	1	no	—
373	#4024	—	2	1	no	—
374	#4024	—	2	1	no	—
375	#4024	—	2	1	no	—
376	#4024	—	2	1	no	—
377	#4020	C₂³	1	1	yes	characteristic
378	#4020	C₂³	1	1	yes	characteristic
379	#4020	C₂³	1	1	yes	characteristic
380	C₄×D₂₀	C₂³	1	1	yes	characteristic
381	C₄×D₂₀	C₂³	1	1	yes	characteristic
382	C₄×D₂₀	C₂³	1	1	yes	characteristic
383	C₄×D₂₀	C₂³	1	1	yes	characteristic
384	C₄×D₂₀	C₂³	1	1	yes	characteristic
385	C₄×D₂₀	C₂³	1	1	yes	characteristic
386	#4018	C₂³	1	1	yes	characteristic
387	#4018	C₂³	1	1	yes	characteristic
388	C₄²×D₅	C₂³	1	1	yes	characteristic
389	#4016	C₂³	1	1	yes	characteristic
390	#4016	C₂³	1	1	yes	characteristic
391	#4015	C₂³	1	1	yes	characteristic
392	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
393	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
394	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
395	C₅×#107	C₂³	1	1	yes	characteristic
396	C₅×#107	C₂³	1	1	yes	characteristic
397	C₅×#107	C₂³	1	1	yes	characteristic
398	C₅×#107	C₂³	1	1	yes	characteristic
399	C₅×#107	C₂³	1	1	yes	characteristic
400	C₅×#106	C₂³	1	1	yes	characteristic
401	C₅×#106	C₂³	1	1	yes	characteristic
402	C₅×#106	C₂³	1	1	yes	characteristic
403	C₅×#106	C₂³	1	1	yes	characteristic
404	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
405	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
406	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
407	C₅×#102	C₂³	1	1	yes	characteristic
408	C₅×#102	C₂³	1	1	yes	characteristic
409	C₅×#102	C₂³	1	1	yes	characteristic
410	C₅×#102	C₂³	1	1	yes	characteristic
411	C₅×#102	C₂³	1	1	yes	characteristic
412	C₅×#102	C₂³	1	1	yes	characteristic
413	C₅×#97	C₂³	1	1	yes	characteristic
414	C₅×#97	C₂³	1	1	yes	characteristic
415	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
416	#3964	C₂³	1	1	yes	characteristic
417	#3964	C₂³	1	1	yes	characteristic
418	#3964	C₂³	1	1	yes	characteristic
419	#3964	C₂³	1	1	yes	characteristic
420	#3953	C₂³	1	1	yes	characteristic
421	#3953	C₂³	1	1	yes	characteristic
422	#3953	C₂³	1	1	yes	characteristic
423	#3953	C₂³	1	1	yes	characteristic
424	#3953	C₂³	1	1	yes	characteristic
425	#3953	C₂³	1	1	yes	characteristic
426	#3953	C₂³	1	1	yes	characteristic
427	#3953	C₂³	1	1	yes	characteristic
428	#3953	C₂³	1	1	yes	characteristic
429	#3953	C₂³	1	1	yes	characteristic
430	#3952	C₂³	1	1	yes	characteristic
431	#3952	C₂³	1	1	yes	characteristic
432	#3952	C₂³	1	1	yes	characteristic
433	#3952	C₂³	1	1	yes	characteristic
434	#3950	C₂³	1	1	yes	characteristic
435	#3949	C₂³	1	1	yes	characteristic
436	#3949	C₂³	1	1	yes	characteristic
437	#3947	C₂³	1	1	yes	characteristic
438	#3947	C₂³	1	1	yes	characteristic
439	#3946	C₂³	1	1	yes	characteristic
440	#3946	C₂³	1	1	yes	characteristic
441	#3946	C₂³	1	1	yes	characteristic
442	#3946	C₂³	1	1	yes	characteristic
443	#3946	C₂³	1	1	yes	characteristic
444	#3946	C₂³	1	1	yes	characteristic
445	C₈×Dic₅	C₂³	1	1	yes	characteristic
446	C₈×Dic₅	C₂³	1	1	yes	characteristic
447	C₈×Dic₅	C₂³	1	1	yes	characteristic
448	C₈×Dic₅	C₂³	1	1	yes	characteristic
449	#3941	C₂³	1	1	yes	characteristic
450	#3941	C₂³	1	1	yes	characteristic
451	#3941	C₂³	1	1	yes	characteristic
452	#3941	C₂³	1	1	yes	characteristic
453	#3941	C₂³	1	1	yes	characteristic
454	#3941	C₂³	1	1	yes	characteristic
455	#3941	C₂³	1	1	yes	characteristic
456	#3941	C₂³	1	1	yes	characteristic
457	#3941	C₂³	1	1	yes	characteristic
458	#3941	C₂³	1	1	yes	characteristic
459	#3941	C₂³	1	1	yes	characteristic
460	#3941	C₂³	1	1	yes	characteristic
461	#3940	C₂³	1	1	yes	characteristic
462	#3940	C₂³	1	1	yes	characteristic
463	#3940	C₂³	1	1	yes	characteristic
464	#3940	C₂³	1	1	yes	characteristic
465	#3940	C₂³	1	1	yes	characteristic
466	#3940	C₂³	1	1	yes	characteristic
467	#3939	C₂³	1	1	yes	characteristic
468	#3939	C₂³	1	1	yes	characteristic
469	#3939	C₂³	1	1	yes	characteristic
470	#3939	C₂³	1	1	yes	characteristic
471	#3939	C₂³	1	1	yes	characteristic
472	#3939	C₂³	1	1	yes	characteristic
473	C₄⋊#168	C₂³	1	1	yes	characteristic
474	C₄⋊#168	C₂³	1	1	yes	characteristic
475	C₄⋊#168	C₂³	1	1	yes	characteristic
476	#3935	C₂³	1	1	yes	characteristic
477	#3935	C₂³	1	1	yes	characteristic
478	C₄×#168	C₂³	1	1	yes	characteristic
479	#3548	—	5	1	no	—
480	#3501	—	5	1	no	—
481	#3389	—	5	1	no	—
482	#3389	—	5	1	no	—
483	#3389	—	5	1	no	—
484	#3389	D₅	1	1	yes	characteristic, complemented
485	#3384	—	5	1	no	—
486	#3384	—	5	1	no	—
487	#3380	—	5	1	no	—
488	#3380	—	5	1	no	—
489	#3366	—	5	1	no	—
490	#3366	—	5	1	no	—
491	#3366	—	5	1	no	—
492	#3366	—	5	1	no	—
493	#3366	—	5	1	no	—
494	#3366	—	5	1	no	—
495	#3358	—	5	1	no	—
496	#3358	—	5	1	no	—
497	#3241	—	5	1	no	—
498	#3241	—	5	1	no	—
499	#3241	—	5	1	no	—
500	#3241	—	5	1	no	—
501	#3235	—	5	1	no	—
502	#3228	—	5	1	no	—
503	#3122	—	5	1	no	—
504	#3122	—	5	1	no	—
505	#3122	—	5	1	no	—
506	#3122	—	5	1	no	—
507	#3109	—	5	1	no	—
508	#3100	—	5	1	no	—
509	#2985	—	5	1	no	—
510	C₂³×D₅	—	2	1	no	—
511	C₂×C₅×Q₈	—	2	1	no	—
512	C₂×C₅×Q₈	—	2	1	no	—
513	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
514	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
515	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₅	—	2	1	no	—
517	C₂²×C₄×C₅	—	2	1	no	—
518	C₂²×C₄×C₅	—	2	1	no	—
519	C₂²×C₄×C₅	—	2	1	no	—
520	C₂²×C₄×C₅	—	2	1	no	—
521	C₂²×C₄×C₅	—	2	1	no	—
522	C₂×C₂²⋊D₅	—	2	1	no	—
523	C₂×C₂²⋊D₅	—	2	1	no	—
524	C₂×C₂²⋊D₅	—	2	1	no	—
525	C₂×C₂²⋊D₅	—	2	1	no	—
526	C₂×C₂²⋊D₅	—	2	1	no	—
527	C₂×C₂²⋊D₅	—	2	1	no	—
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂×C₂²⋊D₅	—	2	1	no	—
530	C₂²×Dic₅	—	2	1	no	—
531	C₂²×Dic₅	—	2	1	no	—
532	C₂²×Dic₅	—	2	1	no	—
533	#713	—	8	2	no	—
534	#713	—	8	2	no	—
535	Q₈×D₅	—	8	2	no	—
536	D₄×D₅	—	2	2	no	—
537	D₄×D₅	—	2	2	no	—
538	#709	—	8	2	no	—
539	#709	—	8	2	no	—
540	#709	—	8	2	no	—
541	#709	—	8	2	no	—
542	C₂×D₂₀	—	2	1	no	—
543	C₂×D₂₀	—	2	1	no	—
544	C₂×D₂₀	—	2	1	no	—
545	C₂×D₂₀	—	2	1	no	—
546	C₂×D₂₀	—	2	1	no	—
547	C₂×D₂₀	—	2	1	no	—
548	C₂×D₂₀	—	2	1	no	—
549	C₂×D₂₀	—	2	1	no	—
550	C₂×D₂₀	—	2	1	no	—
551	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
552	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
553	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
554	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
555	C₂×C₄×D₅	—	2	1	no	—
556	C₂×C₄×D₅	—	2	1	no	—
557	C₂×C₄×D₅	—	2	1	no	—
558	C₂×C₄×D₅	—	2	1	no	—
559	C₂×C₄×D₅	—	2	1	no	—
560	C₂×C₄×D₅	—	2	1	no	—
561	C₂×C₄×D₅	—	2	1	no	—
562	C₂×C₄×D₅	—	2	1	no	—
563	C₂×C₄×D₅	—	2	1	no	—
564	C₂×C₄×D₅	—	2	1	no	—
565	C₂×C₄×D₅	—	2	1	no	—
566	C₂×C₄×D₅	—	2	1	no	—
567	C₂×C₄×D₅	—	2	1	no	—
568	C₂×C₄×D₅	—	2	1	no	—
569	C₂×C₄×D₅	—	2	1	no	—
570	C₂×C₄×D₅	—	2	1	no	—
571	C₂×C₄×D₅	—	8	2	no	—
572	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
573	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
574	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
575	C₂×Dic₁₀	—	2	1	no	—
576	C₂×Dic₁₀	—	2	1	no	—
577	C₂×Dic₁₀	—	2	1	no	—
578	C₂×Dic₁₀	—	2	1	no	—
579	C₂×Dic₁₀	—	2	1	no	—
580	C₂×Dic₁₀	—	2	1	no	—
581	C₂×Dic₁₀	—	8	2	no	—
582	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
583	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
584	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
585	C₅×D₈	—	2	2	no	—
586	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
587	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
588	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
589	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
590	C₅×C₄⋊C₄	—	2	1	no	—
591	C₅×C₄⋊C₄	—	2	1	no	—
592	C₅×C₄⋊C₄	—	2	1	no	—
593	C₅×C₄⋊C₄	—	2	1	no	—
594	C₅×C₄⋊C₄	—	2	1	no	—
595	C₅×C₄⋊C₄	—	2	1	no	—
596	C₅×C₄⋊C₄	—	2	1	no	—
597	C₅×C₄⋊C₄	—	2	1	no	—
598	C₅×C₄⋊C₄	—	2	1	no	—
599	C₅×C₄⋊C₄	—	2	1	no	—
600	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
601	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
602	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
603	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
604	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
605	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
606	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
607	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
608	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
609	C₅×C₂²⋊C₄	—	2	1	no	—
610	C₅×C₂²⋊C₄	—	2	1	no	—
611	C₅×C₂²⋊C₄	—	2	1	no	—
612	C₅×C₂²⋊C₄	—	2	1	no	—
613	C₅×C₂²⋊C₄	—	2	1	no	—
614	C₅×C₂²⋊C₄	—	2	1	no	—
615	C₄²×C₅	C₂⁴	1	1	yes	characteristic
616	C₄²×C₅	C₂⁴	1	1	yes	characteristic
617	C₄²×C₅	C₂⁴	1	1	yes	characteristic
618	C₂²⋊Dic₅	—	2	1	no	—
619	C₂²⋊Dic₅	—	2	1	no	—
620	C₂²⋊Dic₅	—	2	1	no	—
621	C₂²⋊Dic₅	—	2	1	no	—
622	#686	—	2	2	no	—
623	#686	—	2	2	no	—
624	#686	—	2	2	no	—
625	#686	—	2	2	no	—
626	#685	—	2	1	no	—
627	#685	—	2	1	no	—
628	#685	—	2	1	no	—
629	#685	—	2	1	no	—
630	#685	—	2	1	no	—
631	#685	—	2	1	no	—
632	#685	—	2	1	no	—
633	#685	—	2	1	no	—
634	#685	—	2	1	no	—
635	#685	—	2	1	no	—
636	#685	—	2	1	no	—
637	#685	—	2	1	no	—
638	#685	—	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	C₂×D₄	1	1	yes	characteristic
647	#685	C₂×D₄	1	1	yes	characteristic
648	#685	C₂×D₄	1	1	yes	characteristic
649	#685	C₂×D₄	1	1	yes	characteristic
650	C₄⋊Dic₅	—	2	1	no	—
651	C₄⋊Dic₅	—	2	1	no	—
652	C₄⋊Dic₅	—	2	1	no	—
653	C₄⋊Dic₅	—	2	1	no	—
654	C₄⋊Dic₅	—	2	1	no	—
655	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
656	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
657	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
658	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
659	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
660	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
661	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
662	#683	—	2	1	no	—
663	#683	—	2	1	no	—
664	#683	—	2	1	no	—
665	#683	—	2	1	no	—
666	#683	—	2	1	no	—
667	#683	—	2	1	no	—
668	#683	—	2	1	no	—
669	#683	—	2	1	no	—
670	#683	—	2	1	no	—
671	#683	—	2	1	no	—
672	#683	—	2	1	no	—
673	#683	—	2	1	no	—
674	#683	—	2	1	no	—
675	#683	—	2	1	no	—
676	#683	C₂×D₄	1	1	yes	characteristic
677	#683	C₂×D₄	1	1	yes	characteristic
678	#683	C₂×D₄	1	1	yes	characteristic
679	#683	C₂×D₄	1	1	yes	characteristic
680	#683	C₂×D₄	1	1	yes	characteristic
681	#683	C₂×D₄	1	1	yes	characteristic
682	#683	C₂×D₄	1	1	yes	characteristic
683	#683	C₂×D₄	1	1	yes	characteristic
684	#683	C₂×D₄	1	1	yes	characteristic
685	#683	C₂×D₄	1	1	yes	characteristic
686	C₄×Dic₅	—	2	1	no	—
687	C₄×Dic₅	—	2	1	no	—
688	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
689	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
690	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
691	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
692	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
693	C₂×#168	C₂⁴	1	1	yes	characteristic
694	C₂×#168	C₂⁴	1	1	yes	characteristic
695	C₂×#168	C₂⁴	1	1	yes	characteristic
696	C₂×#168	C₂⁴	1	1	yes	characteristic
697	D₄₀	—	2	2	no	—
698	D₄₀	—	2	2	no	—
699	D₄₀	—	2	2	no	—
700	#562	—	10	1	no	—
701	#562	—	10	1	no	—
702	#554	—	5	1	no	—
703	#554	—	5	1	no	—
704	#554	—	5	1	no	—
705	#554	—	5	1	no	—
706	#554	—	5	1	no	—
707	#554	—	5	1	no	—
708	#554	—	5	1	no	—
709	#554	—	5	1	no	—
710	#554	—	10	1	no	—
711	#554	—	10	1	no	—
712	#554	—	10	1	no	—
713	#554	C₂×D₅	1	1	yes	characteristic
714	#554	C₂×D₅	1	1	yes	characteristic, complemented
715	#550	—	5	1	no	—
716	#550	—	5	1	no	—
717	#550	—	5	1	no	—
718	#550	—	5	1	no	—
719	D₄×Q₈	—	5	1	no	—
720	D₄×Q₈	—	5	1	no	—
721	D₄×Q₈	—	10	1	no	—
722	#547	—	10	1	no	—
723	#547	—	10	1	no	—
724	#544	—	5	1	no	—
725	#544	—	5	1	no	—
726	#543	—	10	1	no	—
727	#543	—	10	1	no	—
728	#540	—	5	1	no	—
729	#540	—	5	1	no	—
730	#540	—	5	1	no	—
731	#540	—	5	1	no	—
732	#537	—	10	1	no	—
733	#537	—	10	1	no	—
734	#537	—	10	1	no	—
735	#537	—	10	1	no	—
736	#533	—	5	1	no	—
737	#533	—	5	1	no	—
738	#532	—	5	1	no	—
739	#532	—	5	1	no	—
740	C₂×C₂²⋊Q₈	—	10	1	no	—
741	C₂×C₂²⋊Q₈	—	10	1	no	—
742	#518	—	5	1	no	—
743	#518	—	5	1	no	—
744	C₂×C₄×D₄	—	5	1	no	—
745	#501	—	5	1	no	—
746	#501	—	5	1	no	—
747	#501	—	5	1	no	—
748	#501	—	5	1	no	—
749	#501	C₂×D₅	1	1	yes	characteristic, complemented
750	#501	C₂×D₅	1	1	yes	characteristic, complemented
751	#500	—	5	1	no	—
752	#499	—	5	1	no	—
753	#499	—	5	1	no	—
754	#499	—	5	1	no	—
755	#499	C₂×D₅	1	1	yes	characteristic, complemented
756	#498	—	5	1	no	—
757	#490	—	5	1	no	—
758	#490	—	5	1	no	—
759	#490	—	5	1	no	—
760	#490	—	5	1	no	—
761	#490	—	5	1	no	—
762	#490	—	5	1	no	—
763	#486	—	5	1	no	—
764	#486	—	5	1	no	—
765	#486	—	5	1	no	—
766	#486	—	5	1	no	—
767	#486	—	5	1	no	—
768	#486	—	5	1	no	—
769	#482	—	5	1	no	—
770	#482	—	5	1	no	—
771	#482	—	5	1	no	—
772	#482	—	5	1	no	—
773	#482	—	5	1	no	—
774	#482	—	5	1	no	—
775	#482	—	5	1	no	—
776	#482	—	5	1	no	—
777	#481	—	5	1	no	—
778	#481	—	5	1	no	—
779	#480	—	5	1	no	—
780	#480	—	5	1	no	—
781	#478	—	5	1	no	—
782	#478	—	5	1	no	—
783	#478	—	5	1	no	—
784	#478	—	5	1	no	—
785	#478	—	5	1	no	—
786	#478	—	5	1	no	—
787	#478	—	5	1	no	—
788	#478	—	5	1	no	—
789	#478	—	5	1	no	—
790	#478	—	5	1	no	—
791	#478	—	5	1	no	—
792	#478	—	5	1	no	—
793	#478	—	5	1	no	—
794	#478	—	5	1	no	—
795	#478	—	5	1	no	—
796	#478	—	5	1	no	—
797	#478	C₂×D₅	1	1	yes	characteristic
798	#478	C₂×D₅	1	1	yes	characteristic
799	#478	C₂×D₅	1	1	yes	characteristic, complemented
800	#478	C₂×D₅	1	1	yes	characteristic, complemented
801	#476	—	5	1	no	—
802	#476	—	5	1	no	—
803	#476	—	5	1	no	—
804	#476	—	5	1	no	—
805	#476	—	5	1	no	—
806	#476	—	5	1	no	—
807	#476	—	5	1	no	—
808	#476	—	5	1	no	—
809	#474	—	5	1	no	—
810	#474	—	5	1	no	—
811	#474	—	5	1	no	—
812	#474	—	5	1	no	—
813	#474	—	5	1	no	—
814	#474	—	5	1	no	—
815	#474	C₂×D₅	1	1	yes	characteristic
816	#474	C₂×D₅	1	1	yes	characteristic, complemented
817	#459	—	5	1	no	—
818	#459	—	5	1	no	—
819	#459	—	5	1	no	—
820	#459	—	5	1	no	—
821	#459	—	5	1	no	—
822	#459	—	5	1	no	—
823	#459	—	5	1	no	—
824	#459	—	5	1	no	—
825	#459	—	5	1	no	—
826	#459	—	5	1	no	—
827	#459	—	5	1	no	—
828	#459	—	5	1	no	—
829	#447	—	5	1	no	—
830	#447	—	5	1	no	—
831	#447	—	5	1	no	—
832	#447	—	5	1	no	—
833	#446	—	5	1	no	—
834	#446	—	5	1	no	—
835	#446	—	5	1	no	—
836	#446	—	5	1	no	—
837	#446	—	5	1	no	—
838	#446	C₂×D₅	1	1	yes	characteristic, complemented
839	C₈×Q₈	—	5	1	no	—
840	C₈×Q₈	—	5	1	no	—
841	#442	—	5	1	no	—
842	#442	—	5	1	no	—
843	#442	—	5	1	no	—
844	#442	—	5	1	no	—
845	#442	—	5	1	no	—
846	#442	—	5	1	no	—
847	#442	—	5	1	no	—
848	#442	—	5	1	no	—
849	#442	—	5	1	no	—
850	#442	—	5	1	no	—
851	#442	C₂×D₅	1	1	yes	characteristic
852	#442	C₂×D₅	1	1	yes	characteristic
853	C₄×D₈	—	5	1	no	—
854	C₄×D₈	—	5	1	no	—
855	C₄×D₈	—	5	1	no	—
856	C₄×D₈	—	5	1	no	—
857	C₄×D₈	—	5	1	no	—
858	C₄×D₈	—	5	1	no	—
859	C₄×D₈	—	5	1	no	—
860	C₄×D₈	—	5	1	no	—
861	C₄×D₈	—	5	1	no	—
862	C₄×D₈	—	5	1	no	—
863	C₄×D₈	—	5	1	no	—
864	C₄×D₈	C₂×D₅	1	1	yes	characteristic
865	#433	—	5	1	no	—
866	#433	—	5	1	no	—
867	#433	—	5	1	no	—
868	#433	—	5	1	no	—
869	#432	—	5	1	no	—
870	#431	—	5	1	no	—
871	C₂³×C₅	—	2	1	no	—
872	C₂³×C₅	—	2	1	no	—
873	C₂²×D₅	—	2	1	no	—
874	C₂²×D₅	—	2	4	no	—
875	C₂²×D₅	—	2	1	no	—
876	C₂²×D₅	—	2	1	no	—
877	C₂²×D₅	—	2	1	no	—
878	C₂²×D₅	—	8	1	no	—
879	C₂²×D₅	—	8	1	no	—
880	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
881	C₅×Q₈	—	4	1	no	—
882	C₅×Q₈	—	8	1	no	—
883	C₅×Q₈	—	8	1	no	—
884	C₅×D₄	—	2	1	no	—
885	C₅×D₄	—	2	1	no	—
886	C₅×D₄	—	2	1	no	—
887	C₅×D₄	2₋¹⁺⁴	1	2	yes	—
888	C₂×C₄×C₅	—	2	1	no	—
889	C₂×C₄×C₅	—	2	1	no	—
890	C₂×C₄×C₅	—	2	1	no	—
891	C₂×C₄×C₅	—	2	1	no	—
892	C₂×C₄×C₅	—	2	1	no	—
893	C₂×C₄×C₅	—	2	1	no	—
894	C₂×C₄×C₅	—	4	2	no	—
895	C₂×C₄×C₅	—	8	1	no	—
896	C₂×C₄×C₅	—	8	1	no	—
897	C₂×C₄×C₅	—	8	1	no	—
898	C₂×C₄×C₅	—	8	1	no	—
899	C₂×C₄×C₅	—	8	1	no	—
900	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
901	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
902	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
903	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
904	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
905	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
906	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
907	C₂²⋊D₅	—	2	4	no	—
908	C₂²⋊D₅	—	4	2	no	—
909	C₂²⋊D₅	—	8	1	no	—
910	C₂²⋊D₅	—	8	1	no	—
911	C₂²⋊D₅	—	8	1	no	—
912	C₂²⋊D₅	—	8	1	no	—
913	C₂²⋊D₅	—	8	1	no	—
914	C₂²⋊D₅	—	8	1	no	—
915	C₂×Dic₅	—	2	1	no	—
916	C₂×Dic₅	—	2	1	no	—
917	C₂×Dic₅	—	2	1	no	—
918	C₂×Dic₅	—	2	1	no	—
919	C₂×Dic₅	—	4	2	no	—
920	C₂×Dic₅	—	8	1	no	—
921	C₂×Dic₅	—	8	1	no	—
922	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
923	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
924	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
925	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
926	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
927	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
928	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
929	D₂₀	—	2	1	no	—
930	D₂₀	—	2	1	no	—
931	D₂₀	—	2	1	no	—
932	D₂₀	—	2	1	no	—
933	D₂₀	—	2	1	no	—
934	D₂₀	—	2	1	no	—
935	D₂₀	—	2	1	no	—
936	D₂₀	—	4	2	no	—
937	D₂₀	—	8	1	no	—
938	D₂₀	—	8	1	no	—
939	D₂₀	—	8	1	no	—
940	D₂₀	—	8	1	no	—
941	D₂₀	—	8	1	no	—
942	D₂₀	—	8	1	no	—
943	D₂₀	—	8	1	no	—
944	D₂₀	—	8	1	no	—
945	D₂₀	2₋¹⁺⁴	1	2	yes	—
946	C₄×D₅	—	2	1	no	—
947	C₄×D₅	—	2	1	no	—
948	C₄×D₅	—	2	2	no	—
949	C₄×D₅	—	4	1	no	—
950	C₄×D₅	—	4	2	no	—
951	C₄×D₅	—	4	2	no	—
952	C₄×D₅	—	4	2	no	—
953	C₄×D₅	—	4	2	no	—
954	C₄×D₅	—	8	1	no	—
955	C₄×D₅	—	8	1	no	—
956	C₄×D₅	—	8	1	no	—
957	C₄×D₅	—	8	1	no	—
958	C₄×D₅	—	8	1	no	—
959	C₄×D₅	—	8	1	no	—
960	C₄×D₅	—	8	1	no	—
961	C₄×D₅	—	8	1	no	—
962	C₄×D₅	—	8	1	no	—
963	C₄×D₅	—	8	1	no	—
964	C₄×D₅	—	8	1	no	—
965	C₄×D₅	—	8	1	no	—
966	Dic₁₀	—	2	2	no	—
967	Dic₁₀	—	2	2	no	—
968	Dic₁₀	—	4	1	no	—
969	Dic₁₀	—	4	2	no	—
970	Dic₁₀	—	8	1	no	—
971	Dic₁₀	—	8	1	no	—
972	Dic₁₀	—	8	1	no	—
973	Dic₁₀	—	8	1	no	—
974	Dic₁₀	—	8	1	no	—
975	C₅×C₈	—	2	1	no	—
976	C₅×C₈	—	2	1	no	—
977	C₅×C₈	—	2	1	no	—
978	C₅×C₈	—	2	1	no	—
979	#168	—	2	1	no	—
980	#168	—	2	1	no	—
981	#168	—	2	1	no	—
982	#168	—	2	1	no	—
983	C₂×#41	—	10	1	no	—
984	C₂×#41	—	10	1	no	—
985	C₂×#41	—	10	1	no	—
986	C₂×#41	—	10	1	no	—
987	C₂×#41	—	10	1	no	—
988	C₂×#41	—	10	1	no	—
989	C₂²×Q₈	—	10	1	no	—
990	C₂²×Q₈	—	10	1	no	—
991	C₂²×D₄	—	5	1	no	—
992	C₂³×C₄	—	10	1	no	—
993	C₂×D₈	—	5	1	no	—
994	C₂×D₈	—	5	1	no	—
995	C₂×D₈	—	5	1	no	—
996	C₂×D₈	—	5	1	no	—
997	C₂×D₈	—	5	1	no	—
998	C₂×D₈	—	5	1	no	—
999	C₂×D₈	—	5	1	no	—
1000	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1001	C₄⋊Q₈	—	5	1	no	—
1002	C₄⋊Q₈	—	5	1	no	—
1003	C₄⋊Q₈	—	5	1	no	—
1004	C₄⋊Q₈	—	5	1	no	—
1005	C₄⋊Q₈	—	5	1	no	—
1006	C₄⋊Q₈	—	5	1	no	—
1007	C₄⋊Q₈	—	5	1	no	—
1008	C₄⋊Q₈	—	5	1	no	—
1009	C₄⋊Q₈	—	10	1	no	—
1010	C₄⋊Q₈	—	10	1	no	—
1011	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1012	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1013	#127	—	5	1	no	—
1014	#127	—	5	1	no	—
1015	#127	—	5	1	no	—
1016	#127	—	5	1	no	—
1017	#127	—	5	1	no	—
1018	#127	—	5	1	no	—
1019	#125	—	5	1	no	—
1020	#125	—	5	1	no	—
1021	#125	—	5	1	no	—
1022	#125	—	5	1	no	—
1023	#125	—	5	1	no	—
1024	#125	—	5	1	no	—
1025	#125	—	5	1	no	—
1026	#125	—	5	1	no	—
1027	#125	—	10	1	no	—
1028	#125	—	10	1	no	—
1029	#125	C₂²×D₅	1	1	yes	characteristic
1030	#125	C₂²×D₅	1	1	yes	characteristic
1031	#125	C₂²×D₅	1	1	yes	characteristic
1032	#125	C₂²×D₅	1	1	yes	characteristic
1033	#124	—	10	1	no	—
1034	#124	—	10	1	no	—
1035	#123	—	10	1	no	—
1036	#123	—	10	1	no	—
1037	#123	—	10	1	no	—
1038	#123	—	10	1	no	—
1039	#123	—	10	1	no	—
1040	#123	—	10	1	no	—
1041	#123	—	10	1	no	—
1042	#123	—	10	1	no	—
1043	C₂²⋊Q₈	—	2	1	no	—
1044	C₂²⋊Q₈	—	2	1	no	—
1045	C₂²⋊Q₈	—	2	1	no	—
1046	C₂²⋊Q₈	—	2	1	no	—
1047	C₂²⋊Q₈	—	2	1	no	—
1048	C₂²⋊Q₈	—	2	1	no	—
1049	C₂²⋊Q₈	—	5	1	no	—
1050	C₂²⋊Q₈	—	5	1	no	—
1051	C₂²⋊Q₈	—	5	1	no	—
1052	C₂²⋊Q₈	—	5	1	no	—
1053	C₂²⋊Q₈	—	10	1	no	—
1054	C₂²⋊Q₈	—	10	1	no	—
1055	C₂²⋊Q₈	—	10	1	no	—
1056	C₂²⋊Q₈	—	10	1	no	—
1057	C₂²⋊Q₈	—	10	1	no	—
1058	C₂²⋊Q₈	—	10	1	no	—
1059	C₂²⋊Q₈	—	10	1	no	—
1060	C₂²⋊Q₈	—	10	1	no	—
1061	C₂²⋊Q₈	—	10	1	no	—
1062	C₂²⋊Q₈	—	10	1	no	—
1063	C₂²⋊Q₈	—	10	1	no	—
1064	C₂²⋊Q₈	—	10	1	no	—
1065	C₂²⋊Q₈	—	10	1	no	—
1066	C₂²⋊Q₈	—	10	1	no	—
1067	C₂²⋊Q₈	—	10	1	no	—
1068	C₂²⋊Q₈	—	10	1	no	—
1069	C₂²⋊Q₈	—	10	1	no	—
1070	C₂²⋊Q₈	—	10	1	no	—
1071	C₂²⋊Q₈	—	10	1	no	—
1072	C₂²⋊Q₈	—	10	1	no	—
1073	C₂²⋊Q₈	—	10	1	no	—
1074	C₂²⋊Q₈	—	10	1	no	—
1075	C₂²⋊Q₈	—	10	1	no	—
1076	C₂²⋊Q₈	—	10	1	no	—
1077	C₂²⋊Q₈	—	10	1	no	—
1078	C₂²⋊Q₈	—	10	1	no	—
1079	C₂²⋊Q₈	—	10	1	no	—
1080	C₂²⋊Q₈	—	10	1	no	—
1081	C₂²⋊Q₈	—	10	1	no	—
1082	C₂²⋊Q₈	—	10	1	no	—
1083	C₂²⋊Q₈	—	10	1	no	—
1084	C₂²⋊Q₈	—	10	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	#121	—	5	1	no	—
1090	#121	—	5	1	no	—
1091	#121	—	5	1	no	—
1092	#121	—	5	1	no	—
1093	#121	—	10	1	no	—
1094	#121	—	10	1	no	—
1095	#121	—	10	1	no	—
1096	#121	—	10	1	no	—
1097	#121	—	10	1	no	—
1098	#121	—	10	1	no	—
1099	#121	—	10	1	no	—
1100	#121	—	10	1	no	—
1101	#121	—	10	1	no	—
1102	#121	—	10	1	no	—
1103	#121	—	10	1	no	—
1104	#121	—	10	1	no	—
1105	#121	—	10	1	no	—
1106	#121	—	10	1	no	—
1107	#121	—	10	1	no	—
1108	#121	—	10	1	no	—
1109	#121	—	10	1	no	—
1110	#121	—	10	1	no	—
1111	#121	—	10	1	no	—
1112	#121	—	10	1	no	—
1113	#121	—	10	1	no	—
1114	#121	—	10	1	no	—
1115	C₄×Q₈	—	5	1	no	—
1116	C₄×Q₈	—	5	1	no	—
1117	C₄×Q₈	—	5	1	no	—
1118	C₄×Q₈	—	10	1	no	—
1119	C₄×Q₈	—	10	1	no	—
1120	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1121	C₄×D₄	—	5	1	no	—
1122	C₄×D₄	—	5	1	no	—
1123	C₄×D₄	—	5	1	no	—
1124	C₄×D₄	—	5	1	no	—
1125	C₄×D₄	—	5	1	no	—
1126	C₄×D₄	—	5	1	no	—
1127	C₄×D₄	—	5	1	no	—
1128	C₄×D₄	—	5	1	no	—
1129	C₄×D₄	—	5	1	no	—
1130	C₄×D₄	—	5	1	no	—
1131	C₄×D₄	—	5	1	no	—
1132	C₄×D₄	—	5	1	no	—
1133	C₄×D₄	—	5	1	no	—
1134	C₄×D₄	—	5	1	no	—
1135	C₄×D₄	—	5	1	no	—
1136	C₄×D₄	—	5	1	no	—
1137	C₄×D₄	—	5	1	no	—
1138	C₄×D₄	—	5	1	no	—
1139	C₄×D₄	—	10	1	no	—
1140	C₄×D₄	—	10	1	no	—
1141	C₄×D₄	—	10	1	no	—
1142	C₄×D₄	—	10	1	no	—
1143	C₄×D₄	—	10	1	no	—
1144	C₄×D₄	—	10	1	no	—
1145	C₄×D₄	—	10	1	no	—
1146	C₄×D₄	—	10	1	no	—
1147	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1148	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1149	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1150	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1151	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1152	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1153	#117	—	5	1	no	—
1154	#117	—	5	1	no	—
1155	#117	—	5	1	no	—
1156	#117	—	5	1	no	—
1157	C₂×C₄⋊C₄	—	2	1	no	—
1158	C₂×C₄⋊C₄	—	2	1	no	—
1159	C₂×C₄⋊C₄	—	5	1	no	—
1160	C₂×C₄⋊C₄	—	10	1	no	—
1161	C₂×C₄⋊C₄	—	10	1	no	—
1162	C₂×C₄⋊C₄	—	10	1	no	—
1163	C₂×C₄⋊C₄	—	10	1	no	—
1164	C₂×C₄⋊C₄	—	10	1	no	—
1165	C₂×C₄⋊C₄	—	10	1	no	—
1166	C₂×C₄⋊C₄	—	10	1	no	—
1167	C₂×C₄⋊C₄	—	10	1	no	—
1168	C₂×C₂²⋊C₄	—	10	1	no	—
1169	C₂×C₂²⋊C₄	—	10	1	no	—
1170	C₂×C₂²⋊C₄	—	10	1	no	—
1171	C₂×C₂²⋊C₄	—	10	1	no	—
1172	C₂×C₂²⋊C₄	—	10	1	no	—
1173	C₂×C₄²	—	5	1	no	—
1174	#107	—	5	1	no	—
1175	#107	—	5	1	no	—
1176	#107	—	5	1	no	—
1177	#107	—	5	1	no	—
1178	#107	—	5	1	no	—
1179	#107	—	5	1	no	—
1180	#107	—	5	1	no	—
1181	#107	C₂²×D₅	1	1	yes	characteristic
1182	#107	C₂²×D₅	1	1	yes	characteristic
1183	#107	C₂²×D₅	1	1	yes	characteristic
1184	#107	C₂²×D₅	1	1	yes	characteristic
1185	#107	C₂²×D₅	1	1	yes	characteristic
1186	#106	—	5	1	no	—
1187	#106	—	5	1	no	—
1188	#106	—	5	1	no	—
1189	#106	—	5	1	no	—
1190	#106	—	5	1	no	—
1191	#106	—	5	1	no	—
1192	#106	—	5	1	no	—
1193	#106	—	5	1	no	—
1194	#106	C₂²×D₅	1	1	yes	characteristic
1195	#106	C₂²×D₅	1	1	yes	characteristic
1196	#106	C₂²×D₅	1	1	yes	characteristic
1197	#106	C₂²×D₅	1	1	yes	characteristic
1198	C₄⋊C₈	—	5	1	no	—
1199	C₄⋊C₈	—	5	1	no	—
1200	C₄⋊C₈	—	5	1	no	—
1201	C₄⋊C₈	—	5	1	no	—
1202	C₄⋊C₈	—	5	1	no	—
1203	C₄⋊C₈	—	5	1	no	—
1204	C₄⋊C₈	—	5	1	no	—
1205	C₄⋊C₈	—	5	1	no	—
1206	C₄⋊C₈	—	5	1	no	—
1207	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1208	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1209	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1210	#102	—	5	1	no	—
1211	#102	—	5	1	no	—
1212	#102	—	5	1	no	—
1213	#102	—	5	1	no	—
1214	#102	—	5	1	no	—
1215	#102	—	5	1	no	—
1216	#102	—	5	1	no	—
1217	#102	—	5	1	no	—
1218	#102	—	5	1	no	—
1219	#102	—	5	1	no	—
1220	#102	—	5	1	no	—
1221	#102	—	5	1	no	—
1222	#102	—	5	1	no	—
1223	#102	—	5	1	no	—
1224	#102	—	5	1	no	—
1225	#102	—	5	1	no	—
1226	#102	—	5	1	no	—
1227	#102	—	5	1	no	—
1228	#102	—	5	1	no	—
1229	#102	—	5	1	no	—
1230	#102	—	5	1	no	—
1231	#102	—	5	1	no	—
1232	#102	—	5	1	no	—
1233	#102	—	5	1	no	—
1234	#102	—	5	1	no	—
1235	#102	—	5	1	no	—
1236	#102	C₂²×D₅	1	1	yes	characteristic
1237	#102	C₂²×D₅	1	1	yes	characteristic
1238	#102	C₂²×D₅	1	1	yes	characteristic
1239	#102	C₂²×D₅	1	1	yes	characteristic
1240	#102	C₂²×D₅	1	1	yes	characteristic
1241	#102	C₂²×D₅	1	1	yes	characteristic
1242	C₂²⋊C₈	—	5	1	no	—
1243	C₂²⋊C₈	—	5	1	no	—
1244	C₂²⋊C₈	—	5	1	no	—
1245	C₂²⋊C₈	—	5	1	no	—
1246	#97	—	5	1	no	—
1247	#97	—	5	1	no	—
1248	#97	—	5	1	no	—
1249	#97	—	5	1	no	—
1250	#97	C₂²×D₅	1	1	yes	characteristic
1251	#97	C₂²×D₅	1	1	yes	characteristic
1252	C₄×C₈	—	5	1	no	—
1253	C₄×C₈	—	5	1	no	—
1254	C₄×C₈	—	5	1	no	—
1255	C₄×C₈	—	5	1	no	—
1256	C₄×C₈	—	5	1	no	—
1257	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1258	C₂²×C₅	—	2	2	no	—
1259	C₂²×C₅	—	4	1	no	—
1260	C₂²×C₅	—	4	1	no	—
1261	C₂²×C₅	—	4	1	no	—
1262	C₂²×C₅	—	4	1	no	—
1263	C₂²×C₅	—	4	1	no	—
1264	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1265	C₂×D₅	—	2	1	no	—
1266	C₂×D₅	—	2	1	no	—
1267	C₂×D₅	—	2	2	no	—
1268	C₂×D₅	—	2	1	no	—
1269	C₂×D₅	—	4	1	no	—
1270	C₂×D₅	—	4	1	no	—
1271	C₂×D₅	—	4	1	no	—
1272	C₂×D₅	—	4	1	no	—
1273	C₂×D₅	—	4	1	no	—
1274	C₂×D₅	—	4	1	no	—
1275	C₂×D₅	—	4	1	no	—
1276	C₂×D₅	—	4	1	no	—
1277	C₂×D₅	—	4	1	no	—
1278	C₂×D₅	—	4	1	no	—
1279	C₂×D₅	—	4	1	no	—
1280	C₂×D₅	—	8	4	no	—
1281	C₄×C₅	—	2	1	no	—
1282	C₄×C₅	—	2	1	no	—
1283	C₄×C₅	—	2	1	no	—
1284	C₄×C₅	—	2	1	no	—
1285	C₄×C₅	—	2	1	no	—
1286	C₄×C₅	—	2	1	no	—
1287	C₄×C₅	—	4	1	no	—
1288	C₄×C₅	—	4	1	no	—
1289	C₄×C₅	—	4	1	no	—
1290	C₄×C₅	—	4	1	no	—
1291	C₄×C₅	—	4	1	no	—
1292	C₄×C₅	—	4	1	no	—
1293	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1294	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1295	Dic₅	—	2	1	no	—
1296	Dic₅	—	2	1	no	—
1297	Dic₅	—	2	1	no	—
1298	Dic₅	—	2	1	no	—
1299	Dic₅	—	2	1	no	—
1300	Dic₅	—	2	1	no	—
1301	Dic₅	—	4	1	no	—
1302	Dic₅	—	4	1	no	—
1303	Dic₅	—	4	1	no	—
1304	Dic₅	—	4	1	no	—
1305	Dic₅	#576	1	2	yes	—
1306	C₂⁴	—	10	1	no	—
1307	#41	—	40	2	no	—
1308	#41	—	40	2	no	—
1309	#41	—	40	2	no	—
1310	#41	—	40	2	no	—
1311	#41	—	40	2	no	—
1312	#41	—	40	2	no	—
1313	C₂×Q₈	—	2	1	no	—
1314	C₂×Q₈	—	2	1	no	—
1315	C₂×Q₈	—	5	1	no	—
1316	C₂×Q₈	—	5	1	no	—
1317	C₂×Q₈	—	5	1	no	—
1318	C₂×Q₈	—	10	1	no	—
1319	C₂×Q₈	—	10	1	no	—
1320	C₂×Q₈	—	10	1	no	—
1321	C₂×Q₈	—	10	1	no	—
1322	C₂×Q₈	—	10	1	no	—
1323	C₂×Q₈	—	10	1	no	—
1324	C₂×Q₈	—	40	2	no	—
1325	C₂×Q₈	—	40	2	no	—
1326	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1327	C₂×D₄	—	5	1	no	—
1328	C₂×D₄	—	5	1	no	—
1329	C₂×D₄	—	5	1	no	—
1330	C₂×D₄	—	5	1	no	—
1331	C₂×D₄	—	10	1	no	—
1332	C₂×D₄	—	10	1	no	—
1333	C₂×D₄	—	10	1	no	—
1334	C₂×D₄	—	10	1	no	—
1335	C₂×D₄	—	10	1	no	—
1336	C₂×D₄	—	10	1	no	—
1337	C₂×D₄	—	10	1	no	—
1338	C₂×D₄	—	10	1	no	—
1339	C₂×D₄	—	10	1	no	—
1340	C₂×D₄	—	10	1	no	—
1341	C₂×D₄	—	10	2	no	—
1342	C₂×D₄	—	10	2	no	—
1343	C₂×D₄	—	10	1	no	—
1344	C₂×D₄	—	10	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	C₂³×D₅	1	1	yes	characteristic
1351	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1352	C₂²×C₄	—	2	1	no	—
1353	C₂²×C₄	—	2	1	no	—
1354	C₂²×C₄	—	2	1	no	—
1355	C₂²×C₄	—	2	1	no	—
1356	C₂²×C₄	—	2	1	no	—
1357	C₂²×C₄	—	2	1	no	—
1358	C₂²×C₄	—	5	1	no	—
1359	C₂²×C₄	—	5	1	no	—
1360	C₂²×C₄	—	5	1	no	—
1361	C₂²×C₄	—	10	1	no	—
1362	C₂²×C₄	—	10	1	no	—
1363	C₂²×C₄	—	10	1	no	—
1364	C₂²×C₄	—	10	1	no	—
1365	C₂²×C₄	—	10	1	no	—
1366	C₂²×C₄	—	10	1	no	—
1367	C₂²×C₄	—	10	1	no	—
1368	C₂²×C₄	—	10	1	no	—
1369	C₂²×C₄	—	10	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	—	40	2	no	—
1381	D₈	—	2	2	no	—
1382	D₈	—	10	2	no	—
1383	D₈	—	10	2	no	—
1384	D₈	—	10	2	no	—
1385	D₈	—	10	2	no	—
1386	D₈	—	10	2	no	—
1387	D₈	—	10	2	no	—
1388	D₈	—	10	2	no	—
1389	C₂×C₈	—	5	1	no	—
1390	C₂×C₈	—	5	1	no	—
1391	C₂×C₈	—	5	1	no	—
1392	C₂×C₈	—	5	1	no	—
1393	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1394	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1395	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1396	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	5	1	no	—
1408	C₄⋊C₄	—	5	1	no	—
1409	C₄⋊C₄	—	5	1	no	—
1410	C₄⋊C₄	—	5	1	no	—
1411	C₄⋊C₄	—	5	1	no	—
1412	C₄⋊C₄	—	5	1	no	—
1413	C₄⋊C₄	—	5	1	no	—
1414	C₄⋊C₄	—	5	1	no	—
1415	C₄⋊C₄	—	5	1	no	—
1416	C₄⋊C₄	—	5	1	no	—
1417	C₄⋊C₄	—	5	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	—	10	1	no	—
1425	C₄⋊C₄	—	10	1	no	—
1426	C₄⋊C₄	—	10	1	no	—
1427	C₄⋊C₄	—	10	1	no	—
1428	C₄⋊C₄	—	10	1	no	—
1429	C₄⋊C₄	—	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	D₄×D₅	1	1	yes	characteristic
1444	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1445	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1446	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1447	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1448	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1449	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1450	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1451	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1452	C₂²⋊C₄	—	2	1	no	—
1453	C₂²⋊C₄	—	2	1	no	—
1454	C₂²⋊C₄	—	2	1	no	—
1455	C₂²⋊C₄	—	2	1	no	—
1456	C₂²⋊C₄	—	2	1	no	—
1457	C₂²⋊C₄	—	2	1	no	—
1458	C₂²⋊C₄	—	5	1	no	—
1459	C₂²⋊C₄	—	5	1	no	—
1460	C₂²⋊C₄	—	5	1	no	—
1461	C₂²⋊C₄	—	5	1	no	—
1462	C₂²⋊C₄	—	10	1	no	—
1463	C₂²⋊C₄	—	10	1	no	—
1464	C₂²⋊C₄	—	10	1	no	—
1465	C₂²⋊C₄	—	10	1	no	—
1466	C₂²⋊C₄	—	10	1	no	—
1467	C₂²⋊C₄	—	10	1	no	—
1468	C₂²⋊C₄	—	10	1	no	—
1469	C₂²⋊C₄	—	10	1	no	—
1470	C₂²⋊C₄	—	10	1	no	—
1471	C₂²⋊C₄	—	10	1	no	—
1472	C₂²⋊C₄	—	10	1	no	—
1473	C₂²⋊C₄	—	10	1	no	—
1474	C₂²⋊C₄	—	10	1	no	—
1475	C₂²⋊C₄	—	10	1	no	—
1476	C₂²⋊C₄	—	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	C₄²	—	5	1	no	—
1487	C₄²	—	5	1	no	—
1488	C₄²	—	5	1	no	—
1489	C₄²	—	5	1	no	—
1490	C₄²	—	5	1	no	—
1491	C₄²	—	10	1	no	—
1492	C₄²	—	10	1	no	—
1493	C₄²	C₂³×D₅	1	1	yes	characteristic
1494	C₄²	C₂³×D₅	1	1	yes	characteristic
1495	C₄²	C₂³×D₅	1	1	yes	characteristic
1496	C₂×C₅	—	4	2	no	—
1497	C₂×C₅	—	8	1	no	—
1498	C₂×C₅	#3486	1	1	yes	characteristic
1499	C₂×C₅	C₂×#576	1	1	yes	characteristic
1500	C₂×C₅	#3585	1	1	yes	characteristic
1501	D₅	—	4	1	no	—
1502	D₅	—	4	2	no	—
1503	D₅	—	8	1	no	—
1504	D₅	—	8	1	no	—
1505	D₅	—	8	1	no	—
1506	C₂³	—	2	1	no	—
1507	C₂³	—	2	1	no	—
1508	C₂³	—	5	1	no	—
1509	C₂³	—	10	4	no	—
1510	C₂³	—	10	1	no	—
1511	C₂³	—	10	1	no	—
1512	C₂³	—	10	1	no	—
1513	C₂³	—	10	1	no	—
1514	C₂³	—	40	1	no	—
1515	C₂³	—	40	1	no	—
1516	Q₈	—	4	1	no	—
1517	Q₈	—	8	1	no	—
1518	Q₈	—	8	1	no	—
1519	Q₈	—	10	2	no	—
1520	Q₈	—	10	2	no	—
1521	Q₈	—	20	1	no	—
1522	Q₈	—	20	2	no	—
1523	Q₈	—	40	1	no	—
1524	Q₈	—	40	1	no	—
1525	Q₈	—	40	1	no	—
1526	Q₈	—	40	1	no	—
1527	Q₈	—	40	1	no	—
1528	D₄	—	2	1	no	—
1529	D₄	—	2	1	no	—
1530	D₄	—	2	1	no	—
1531	D₄	—	5	2	no	—
1532	D₄	—	10	4	no	—
1533	D₄	—	10	1	no	—
1534	D₄	—	10	1	no	—
1535	D₄	—	10	1	no	—
1536	D₄	—	10	1	no	—
1537	D₄	—	10	1	no	—
1538	D₄	—	10	1	no	—
1539	D₄	—	10	1	no	—
1540	D₄	—	20	2	no	—
1541	D₄	—	20	2	no	—
1542	D₄	—	40	1	no	—
1543	D₄	—	40	1	no	—
1544	D₄	—	40	1	no	—
1545	D₄	—	40	1	no	—
1546	D₄	—	40	1	no	—
1547	D₄	—	40	1	no	—
1548	D₄	—	40	1	no	—
1549	D₄	—	40	1	no	—
1550	D₄	—	40	1	no	—
1551	D₄	—	40	1	no	—
1552	D₄	—	40	1	no	—
1553	D₄	—	40	1	no	—
1554	D₄	—	40	1	no	—
1555	D₄	—	40	1	no	—
1556	D₄	#4147	1	2	yes	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	4	2	no	—
1564	C₂×C₄	—	5	1	no	—
1565	C₂×C₄	—	5	1	no	—
1566	C₂×C₄	—	5	1	no	—
1567	C₂×C₄	—	5	1	no	—
1568	C₂×C₄	—	5	1	no	—
1569	C₂×C₄	—	5	1	no	—
1570	C₂×C₄	—	5	1	no	—
1571	C₂×C₄	—	8	1	no	—
1572	C₂×C₄	—	8	1	no	—
1573	C₂×C₄	—	8	1	no	—
1574	C₂×C₄	—	8	1	no	—
1575	C₂×C₄	—	8	1	no	—
1576	C₂×C₄	—	10	2	no	—
1577	C₂×C₄	—	10	1	no	—
1578	C₂×C₄	—	10	1	no	—
1579	C₂×C₄	—	10	1	no	—
1580	C₂×C₄	—	10	1	no	—
1581	C₂×C₄	—	10	1	no	—
1582	C₂×C₄	—	10	1	no	—
1583	C₂×C₄	—	20	1	no	—
1584	C₂×C₄	—	20	2	no	—
1585	C₂×C₄	—	20	2	no	—
1586	C₂×C₄	—	20	2	no	—
1587	C₂×C₄	—	20	2	no	—
1588	C₂×C₄	—	20	2	no	—
1589	C₂×C₄	—	40	1	no	—
1590	C₂×C₄	—	40	1	no	—
1591	C₂×C₄	—	40	1	no	—
1592	C₂×C₄	—	40	1	no	—
1593	C₂×C₄	—	40	1	no	—
1594	C₂×C₄	—	40	1	no	—
1595	C₂×C₄	—	40	1	no	—
1596	C₂×C₄	—	40	1	no	—
1597	C₂×C₄	—	40	1	no	—
1598	C₂×C₄	—	40	1	no	—
1599	C₂×C₄	—	40	1	no	—
1600	C₂×C₄	—	40	1	no	—
1601	C₂×C₄	—	40	1	no	—
1602	C₂×C₄	—	40	1	no	—
1603	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1604	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1605	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1606	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1607	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1608	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1609	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1610	C₈	—	2	1	no	—
1611	C₈	—	2	1	no	—
1612	C₈	—	2	1	no	—
1613	C₈	—	2	1	no	—
1614	C₈	—	10	1	no	—
1615	C₈	—	10	1	no	—
1616	C₈	—	10	1	no	—
1617	C₈	—	10	1	no	—
1618	C₅	#61847	1	1	yes	characteristic, complemented, Sylow
1619	C₂²	—	2	2	no	—
1620	C₂²	—	4	1	no	—
1621	C₂²	—	4	1	no	—
1622	C₂²	—	4	1	no	—
1623	C₂²	—	4	1	no	—
1624	C₂²	—	4	1	no	—
1625	C₂²	—	10	1	no	—
1626	C₂²	—	10	2	no	—
1627	C₂²	—	10	1	no	—
1628	C₂²	—	10	1	no	—
1629	C₂²	—	20	1	no	—
1630	C₂²	—	20	1	no	—
1631	C₂²	—	20	1	no	—
1632	C₂²	—	20	1	no	—
1633	C₂²	—	20	1	no	—
1634	C₂²	—	20	1	no	—
1635	C₂²	—	20	1	no	—
1636	C₂²	—	20	1	no	—
1637	C₂²	—	20	1	no	—
1638	C₂²	—	20	1	no	—
1639	C₂²	—	20	1	no	—
1640	C₂²	—	40	4	no	—
1641	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1642	C₄	—	2	1	no	—
1643	C₄	—	2	1	no	—
1644	C₄	—	2	1	no	—
1645	C₄	—	2	1	no	—
1646	C₄	—	2	1	no	—
1647	C₄	—	2	1	no	—
1648	C₄	—	4	1	no	—
1649	C₄	—	4	1	no	—
1650	C₄	—	4	1	no	—
1651	C₄	—	4	1	no	—
1652	C₄	—	4	1	no	—
1653	C₄	—	4	1	no	—
1654	C₄	—	5	2	no	—
1655	C₄	—	10	1	no	—
1656	C₄	—	10	1	no	—
1657	C₄	—	10	1	no	—
1658	C₄	—	10	1	no	—
1659	C₄	—	10	1	no	—
1660	C₄	—	10	1	no	—
1661	C₄	—	20	1	no	—
1662	C₄	—	20	1	no	—
1663	C₄	—	20	1	no	—
1664	C₄	—	20	1	no	—
1665	C₄	C₂×#4147	1	1	yes	characteristic
1666	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1667	C₂	—	4	2	no	—
1668	C₂	—	8	1	no	—
1669	C₂	—	20	1	no	—
1670	C₂	—	20	2	no	—
1671	C₂	—	40	1	no	—
1672	C₂	—	40	1	no	—
1673	C₂	—	40	1	no	—
1674	C₂	#10618660	1	1	yes	characteristic
1675	C₂	#10619101	1	1	yes	characteristic
1676	C₂	D₅×#576	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×#3389	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3389	D₅
hypocenter	C₅	#61847
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3389

Complements

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

N	H ≅ G/N	type
1. #10618850	C₂	semidirect
2. #10618840	C₂	semidirect
3. C₅×#3389	C₂	semidirect
4. #10615369	C₂	semidirect
5. #10615364	C₂	semidirect
6. #10613717	C₂	semidirect
7. #10613710	C₂	semidirect
8. #10613701	C₂	semidirect
9. #10613695	C₂	semidirect
10. #10613653	C₂	semidirect
11. #10613643	C₂	semidirect
12. #10612908	C₂	semidirect
13. #10612903	C₂	semidirect
14. #10612889	C₂	semidirect
15. #10612887	C₂	semidirect
16. #10612883	C₂	semidirect
17. #10612883	C₂	semidirect
18. #10612877	C₂	semidirect
19. #10612877	C₂	semidirect
20. #10612723	C₂	semidirect
21. #10612704	C₂	semidirect
22. #10612693	C₂	semidirect
23. #10612679	C₂	semidirect
24. #10611700	C₂	semidirect
25. #10611697	C₂	semidirect
26. #10611605	C₂	semidirect
27. #10611600	C₂	semidirect
28. #10611582	C₂	semidirect
29. #10611582	C₂	semidirect
30. #10611327	C₂	semidirect
31. #10611298	C₂	semidirect
33. C₅×#554	C₂²	semidirect
34. #66064	C₂²	semidirect
42. #66024	C₂²	semidirect
43. #66024	C₂²	semidirect
60. #65911	C₂²	semidirect
63. #65887	C₂²	semidirect
64. #65887	C₂²	semidirect
65. #65887	C₂²	semidirect
77. C₅×#501	C₂²	semidirect
78. C₅×#501	C₂²	semidirect
79. C₅×#499	C₂²	semidirect
82. C₅×#478	C₂²	semidirect
83. C₅×#478	C₂²	semidirect
85. C₅×#474	C₂²	semidirect
86. C₅×#446	C₂²	semidirect
94. #65377	C₂²	semidirect
96. #65373	C₂²	semidirect
97. #65369	C₂²	semidirect
98. #65356	C₂²	semidirect
99. #65356	C₂²	semidirect
102. #65355	C₂²	semidirect
103. #65355	C₂²	semidirect
104. #65354	C₂²	semidirect
105. #65353	C₂²	semidirect
106. #65313	C₂²	semidirect
116. #65298	C₂²	semidirect
117. #65298	C₂²	semidirect
118. #65296	C₂²	semidirect
120. #65180	C₂²	semidirect
121. #65180	C₂²	semidirect
122. #65179	C₂²	semidirect
123. #65179	C₂²	semidirect
124. #65179	C₂²	semidirect
125. #65179	C₂²	semidirect
131. #65167	C₂²	semidirect
132. #65165	C₂²	semidirect
133. #65165	C₂²	semidirect
134. #65163	C₂²	semidirect
140. #65160	C₂²	semidirect
141. #65160	C₂²	semidirect
143. #65159	C₂²	semidirect
144. #65159	C₂²	semidirect
145. #65159	C₂²	semidirect
146. #65159	C₂²	semidirect
153. #65147	C₂²	semidirect
154. #65144	C₂²	semidirect
155. #65136	C₂²	semidirect
156. #65136	C₂²	semidirect
160. #65131	C₂²	semidirect
164. #65119	C₂²	semidirect
165. #65117	C₂²	semidirect
166. #65117	C₂²	semidirect
179. #65053	C₂²	semidirect
180. #65053	C₂²	semidirect
183. #65049	C₂²	semidirect
184. #65049	C₂²	semidirect
185. #65049	C₂²	semidirect
186. #65049	C₂²	semidirect
191. #65002	C₂²	semidirect
192. #65002	C₂²	semidirect
197. #64990	C₂²	semidirect
198. #64990	C₂²	semidirect
199. #64983	C₂²	semidirect
202. C₈×Dic₁₀	C₂²	semidirect
484. #3389	D₅	semidirect
714. #554	C₂×D₅	semidirect
749. #501	C₂×D₅	semidirect
750. #501	C₂×D₅	semidirect
755. #499	C₂×D₅	semidirect
799. #478	C₂×D₅	semidirect
800. #478	C₂×D₅	semidirect
816. #474	C₂×D₅	semidirect
838. #446	C₂×D₅	semidirect
1618. C₅	#61847	semidirect

Maximal subgroups

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

subgroup	index
#10618850	2
#10618840	2
C₅×#3389	2
#10615369	2
#10615364	2
#10613717	2
#10613710	2
#10613701	2
#10613695	2
#10613653	2
#10613643	2
#10612908	2
#10612903	2
#10612889	2
#10612887	2
#10612883	2
#10612877	2
#10612723	2
#10612704	2
#10612693	2
#10612679	2
#10611700	2
#10611697	2
#10611605	2
#10611600	2
#10611582	2
#10611327	2
#10611298	2
#61847	5