Subgroups — #12980668

Order 1280.

1868 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618908	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618885	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3393	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615412	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615403	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613553	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613552	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613547	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613547	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613532	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613528	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612333	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612332	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612328	C₂	1	1	yes	maximal, characteristic, complemented
15	D₅×#464	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612326	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612321	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612320	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612319	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612162	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612161	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612155	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612154	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611649	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611644	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611450	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#4064	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611445	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611444	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611318	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611313	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#556	C₂²	1	1	yes	characteristic
33	C₅×#556	C₂²	1	1	yes	characteristic, complemented
34	C₂×#4065	C₂²	1	1	yes	characteristic
35	C₂×#4064	C₂²	1	1	yes	characteristic
36	C₂×#4064	C₂²	1	1	yes	characteristic
37	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic
38	C₂×#4062	C₂²	1	1	yes	characteristic
39	C₂×#4061	C₂²	1	1	yes	characteristic
40	C₂×#4060	C₂²	1	1	yes	characteristic
41	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
42	C₂×#4057	C₂²	1	1	yes	characteristic
43	#66066	C₂²	1	1	yes	characteristic
44	#66058	C₂²	1	1	yes	characteristic
45	#66058	C₂²	1	1	yes	characteristic
46	#66055	C₂²	1	1	yes	characteristic, complemented
47	#66044	—	2	1	no	—
48	#66042	—	2	1	no	—
49	#66041	—	2	1	no	—
50	#66040	—	2	1	no	—
51	#66040	—	2	1	no	—
52	#66039	—	2	1	no	—
53	#66039	—	2	1	no	—
54	#66036	—	2	1	no	—
55	#66015	C₂²	1	1	yes	characteristic
56	#66015	C₂²	1	1	yes	characteristic, complemented
57	#66009	C₂²	1	1	yes	characteristic
58	#66008	C₂²	1	1	yes	characteristic
59	D₅×#124	C₂²	1	1	yes	characteristic
60	#66005	C₂²	1	1	yes	characteristic
61	#66005	C₂²	1	1	yes	characteristic, complemented
62	#66002	C₂²	1	1	yes	characteristic
63	#65974	—	2	1	no	—
64	#65972	—	2	1	no	—
65	#65971	—	2	1	no	—
66	#65970	—	2	1	no	—
67	#65919	C₂²	1	1	yes	characteristic
68	#65919	C₂²	1	1	yes	characteristic
69	#65918	C₂²	1	1	yes	characteristic, complemented
70	#65912	C₂²	1	1	yes	characteristic
71	#65908	C₂²	1	1	yes	characteristic
72	C₄×#713	C₂²	1	1	yes	characteristic
73	#65906	C₂²	1	1	yes	characteristic
74	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
75	#65902	C₂²	1	1	yes	characteristic
76	#65902	C₂²	1	1	yes	characteristic, complemented
77	#65901	C₂²	1	1	yes	characteristic, complemented
78	#65893	C₂²	1	1	yes	characteristic
79	#65893	C₂²	1	1	yes	characteristic, complemented
80	#65880	C₂²	1	1	yes	characteristic
81	#65879	C₂²	1	1	yes	characteristic
82	#65865	—	2	1	no	—
83	#65862	—	2	1	no	—
84	#65862	—	2	1	no	—
85	#65861	—	2	1	no	—
86	C₅×#495	C₂²	1	1	yes	characteristic
87	C₅×#495	C₂²	1	1	yes	characteristic
88	C₅×#494	C₂²	1	1	yes	characteristic, complemented
89	C₅×#464	C₂²	1	1	yes	characteristic
90	C₅×#464	C₂²	1	1	yes	characteristic
91	C₅×#464	C₂²	1	1	yes	characteristic, complemented
92	C₅×#464	C₂²	1	1	yes	characteristic, complemented
93	C₅×#461	C₂²	1	1	yes	characteristic
94	C₅×#461	C₂²	1	1	yes	characteristic, complemented
95	C₅×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
96	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
97	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
98	C₄×C₅×D₈	C₂²	1	1	yes	characteristic
99	#65480	C₂²	1	1	yes	characteristic, complemented
100	#65479	C₂²	1	1	yes	characteristic
101	#65479	C₂²	1	1	yes	characteristic
102	#65479	C₂²	1	1	yes	characteristic, complemented
103	#65479	C₂²	1	1	yes	characteristic, complemented
104	#65474	C₂²	1	1	yes	characteristic
105	#65474	C₂²	1	1	yes	characteristic
106	#65473	C₂²	1	1	yes	characteristic, complemented
107	#65473	C₂²	1	1	yes	characteristic, complemented
108	#65471	C₂²	1	1	yes	characteristic, complemented
109	#65471	C₂²	1	1	yes	characteristic, complemented
110	#65470	C₂²	1	1	yes	characteristic, complemented
111	#65465	C₂²	1	1	yes	characteristic
112	#65464	C₂²	1	1	yes	characteristic
113	#65457	C₂²	1	1	yes	characteristic
114	#65456	C₂²	1	1	yes	characteristic
115	#65455	C₂²	1	1	yes	characteristic
116	#65455	C₂²	1	1	yes	characteristic, complemented
117	#65454	C₂²	1	1	yes	characteristic
118	#65454	C₂²	1	1	yes	characteristic, complemented
119	#65452	C₂²	1	1	yes	characteristic
120	#65452	C₂²	1	1	yes	characteristic, complemented
121	#65451	C₂²	1	1	yes	characteristic
122	#65451	C₂²	1	1	yes	characteristic, complemented
123	#65443	C₂²	1	1	yes	characteristic
124	#65443	C₂²	1	1	yes	characteristic
125	#65441	C₂²	1	1	yes	characteristic
126	#65379	C₂²	1	1	yes	characteristic, complemented
127	#65375	C₂²	1	1	yes	characteristic, complemented
128	#65375	C₂²	1	1	yes	characteristic, complemented
129	#65372	C₂²	1	1	yes	characteristic
130	#65349	C₂²	1	1	yes	characteristic
131	#65348	C₂²	1	1	yes	characteristic
132	#65348	C₂²	1	1	yes	characteristic
133	#65347	C₂²	1	1	yes	characteristic
134	#65346	C₂²	1	1	yes	characteristic
135	#65346	C₂²	1	1	yes	characteristic, complemented
136	#65343	C₂²	1	1	yes	characteristic
137	#65343	C₂²	1	1	yes	characteristic, complemented
138	#65320	C₂²	1	1	yes	characteristic, complemented
139	#65319	C₂²	1	1	yes	characteristic, complemented
140	C₄×#689	C₂²	1	1	yes	characteristic, complemented
141	#65317	C₂²	1	1	yes	characteristic
142	#65317	C₂²	1	1	yes	characteristic, complemented
143	#65316	C₂²	1	1	yes	characteristic
144	#65315	C₂²	1	1	yes	characteristic, complemented
145	C₄×#688	C₂²	1	1	yes	characteristic, complemented
146	#65313	C₂²	1	1	yes	characteristic, complemented
147	#65307	C₂²	1	1	yes	characteristic
148	#65305	C₂²	1	1	yes	characteristic
149	#65305	C₂²	1	1	yes	characteristic, complemented
150	#65303	C₂²	1	1	yes	characteristic
151	#65178	C₂²	1	1	yes	characteristic
152	#65178	C₂²	1	1	yes	characteristic, complemented
153	#65178	C₂²	1	1	yes	characteristic, complemented
154	#65170	C₂²	1	1	yes	characteristic
155	#65138	C₂²	1	1	yes	characteristic, complemented
156	#65134	C₂²	1	1	yes	characteristic
157	#65134	C₂²	1	1	yes	characteristic, complemented
158	#65133	C₂²	1	1	yes	characteristic
159	#65133	C₂²	1	1	yes	characteristic, complemented
160	#65132	C₂²	1	1	yes	characteristic
161	#65128	C₂²	1	1	yes	characteristic
162	#65128	C₂²	1	1	yes	characteristic
163	D₅×C₄⋊C₈	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	#65108	C₂²	1	1	yes	characteristic
168	#65108	C₂²	1	1	yes	characteristic
169	#65107	C₂²	1	1	yes	characteristic
170	#65107	C₂²	1	1	yes	characteristic, complemented
171	#65106	C₂²	1	1	yes	characteristic, complemented
172	#65093	C₂²	1	1	yes	characteristic
173	#65092	C₂²	1	1	yes	characteristic
174	#65091	C₂²	1	1	yes	characteristic
175	D₅×#103	C₂²	1	1	yes	characteristic
176	#65087	C₂²	1	1	yes	characteristic
177	#65087	C₂²	1	1	yes	characteristic, complemented
178	#65082	C₂²	1	1	yes	characteristic, complemented
179	#65082	C₂²	1	1	yes	characteristic, complemented
180	#65079	C₂²	1	1	yes	characteristic, complemented
181	#65078	C₂²	1	1	yes	characteristic, complemented
182	#65077	C₂²	1	1	yes	characteristic, complemented
183	#65075	C₂²	1	1	yes	characteristic
184	#65075	C₂²	1	1	yes	characteristic, complemented
185	#65061	C₂²	1	1	yes	characteristic
186	D₅×#102	C₂²	1	1	yes	characteristic
187	#65056	C₂²	1	1	yes	characteristic
188	#65056	C₂²	1	1	yes	characteristic, complemented
189	#65047	C₂²	1	1	yes	characteristic
190	#65045	C₂²	1	1	yes	characteristic
191	#64985	C₂²	1	1	yes	characteristic
192	#64985	C₂²	1	1	yes	characteristic, complemented
193	#64982	C₂²	1	1	yes	characteristic
194	C₄×#677	C₂²	1	1	yes	characteristic
195	C₄×#677	C₂²	1	1	yes	characteristic, complemented
196	C₄×#677	C₂²	1	1	yes	characteristic, complemented
197	#64978	C₂²	1	1	yes	characteristic
198	#64978	C₂²	1	1	yes	characteristic
199	C₄×#676	C₂²	1	1	yes	characteristic
200	#64968	C₂²	1	1	yes	characteristic, complemented
201	#64968	C₂²	1	1	yes	characteristic, complemented
202	#64968	C₂²	1	1	yes	characteristic, complemented
203	#61423	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×#713	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
207	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
208	C₂×#711	C₂³	1	1	yes	characteristic
209	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
210	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
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×SD₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
219	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
220	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
221	C₅×#126	—	2	1	no	—
222	C₅×#126	—	2	1	no	—
223	C₅×#126	—	2	1	no	—
224	C₅×#126	—	2	1	no	—
225	C₅×#124	C₂³	1	1	yes	characteristic
226	C₅×#124	C₂³	1	1	yes	characteristic
227	C₅×#124	C₂³	1	1	yes	characteristic
228	C₅×#124	C₂³	1	1	yes	characteristic
229	C₅×C₂²⋊Q₈	—	2	1	no	—
230	C₅×C₂²⋊Q₈	—	2	1	no	—
231	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
232	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
233	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
234	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
235	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
236	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
237	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
238	C₅×#117	—	2	1	no	—
239	C₅×#117	—	2	1	no	—
240	#4093	—	2	1	no	—
241	#4093	C₂³	1	1	yes	characteristic
242	#4093	C₂³	1	1	yes	characteristic
243	#4093	C₂³	1	1	yes	characteristic
244	#4093	C₂³	1	1	yes	characteristic
245	#4092	—	2	1	no	—
246	#4092	D₄	1	1	yes	characteristic
247	Q₈×Dic₅	C₂³	1	1	yes	characteristic
248	Q₈×Dic₅	C₂³	1	1	yes	characteristic
249	Q₈×Dic₅	C₂³	1	1	yes	characteristic
250	Q₈×Dic₅	C₂³	1	1	yes	characteristic
251	#4090	D₄	1	1	yes	characteristic
252	#4090	C₂³	1	1	yes	characteristic
253	#4090	C₂³	1	1	yes	characteristic
254	#4090	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×#689	C₂³	1	1	yes	characteristic
259	C₂×#689	C₂³	1	1	yes	characteristic
260	C₂×#689	C₂³	1	1	yes	characteristic
261	C₂×#689	C₂³	1	1	yes	characteristic
262	C₂×#688	C₂³	1	1	yes	characteristic
263	C₂×#688	C₂³	1	1	yes	characteristic
264	C₂×#688	C₂³	1	1	yes	characteristic
265	C₂×#688	C₂³	1	1	yes	characteristic
266	C₂×#688	C₂³	1	1	yes	characteristic
267	C₂×#688	C₂³	1	1	yes	characteristic
268	#4086	C₂³	1	1	yes	characteristic
269	#4086	C₂³	1	1	yes	characteristic
270	#4082	C₂³	1	1	yes	characteristic
271	#4082	C₂³	1	1	yes	characteristic
272	D₄×Dic₅	C₂³	1	1	yes	characteristic
273	D₄×Dic₅	C₂³	1	1	yes	characteristic
274	C₂×#687	C₂³	1	1	yes	characteristic
275	C₂×#687	C₂³	1	1	yes	characteristic
276	C₂×#687	C₂³	1	1	yes	characteristic
277	C₂×#686	C₂³	1	1	yes	characteristic
278	C₂×#686	C₂³	1	1	yes	characteristic
279	C₂×#686	C₂³	1	1	yes	characteristic
280	#4075	—	2	1	no	—
281	#4075	—	2	1	no	—
282	C₄×C₂²⋊D₅	—	2	1	no	—
283	C₄×C₂²⋊D₅	—	2	1	no	—
284	C₄×C₂²⋊D₅	—	2	1	no	—
285	C₄×C₂²⋊D₅	—	2	1	no	—
286	C₂×#685	—	2	1	no	—
287	C₂×#683	—	2	1	no	—
288	#4065	—	4	2	no	—
289	#4064	—	2	4	no	—
290	#4064	—	2	4	no	—
291	D₅×Q₁₆	—	4	2	no	—
292	#4062	—	4	2	no	—
293	#4061	—	4	2	no	—
294	#4060	—	4	2	no	—
295	D₅×SD₁₆	—	4	2	no	—
296	#4057	—	2	4	no	—
297	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
298	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
299	C₂×D₄₀	C₂³	1	1	yes	characteristic
300	C₂×D₄₀	C₂³	1	1	yes	characteristic
301	C₂×#677	C₂³	1	1	yes	characteristic
302	C₂×#677	C₂³	1	1	yes	characteristic
303	C₂×#677	C₂³	1	1	yes	characteristic
304	C₂×#677	C₂³	1	1	yes	characteristic
305	C₂×#677	C₂³	1	1	yes	characteristic
306	C₂×#676	C₂³	1	1	yes	characteristic
307	C₂×#676	C₂³	1	1	yes	characteristic
308	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
309	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
310	#4044	—	2	1	no	—
311	#4044	—	2	1	no	—
312	#4044	—	2	1	no	—
313	#4044	—	2	1	no	—
314	#4044	—	2	1	no	—
315	#4044	—	2	1	no	—
316	#4043	—	2	1	no	—
317	#4043	D₄	1	1	yes	characteristic
318	#4042	—	2	1	no	—
319	#4042	—	2	1	no	—
320	#4042	—	2	1	no	—
321	#4042	—	2	1	no	—
322	#4042	—	2	1	no	—
323	#4042	—	2	1	no	—
324	#4042	D₄	1	1	yes	characteristic
325	#4042	D₄	1	1	yes	characteristic
326	#4040	—	2	1	no	—
327	#4040	—	2	1	no	—
328	#4040	—	2	1	no	—
329	#4040	—	2	1	no	—
330	#4040	—	2	1	no	—
331	#4040	—	2	1	no	—
332	#4040	—	2	1	no	—
333	#4040	—	2	1	no	—
334	#4039	—	2	1	no	—
335	#4039	—	2	1	no	—
336	#4039	—	2	1	no	—
337	#4039	C₂³	1	1	yes	characteristic
338	#4039	C₂³	1	1	yes	characteristic
339	#4039	C₂³	1	1	yes	characteristic
340	#4038	—	2	1	no	—
341	#4038	—	2	1	no	—
342	#4038	—	2	1	no	—
343	#4038	—	2	1	no	—
344	#4038	C₂³	1	1	yes	characteristic
345	D₅×C₄⋊C₄	—	2	1	no	—
346	D₅×C₄⋊C₄	—	2	1	no	—
347	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
348	#4036	—	2	1	no	—
349	#4035	—	2	1	no	—
350	#4035	—	2	1	no	—
351	#4035	—	2	1	no	—
352	#4035	—	2	1	no	—
353	#4035	D₄	1	1	yes	characteristic
354	#4035	D₄	1	1	yes	characteristic
355	#4034	D₄	1	1	yes	characteristic
356	#4033	—	2	1	no	—
357	#4033	—	2	1	no	—
358	#4033	—	2	1	no	—
359	#4033	C₂³	1	1	yes	characteristic
360	#4033	C₂³	1	1	yes	characteristic
361	#4033	C₂³	1	1	yes	characteristic
362	#4032	—	2	1	no	—
363	#4032	—	2	1	no	—
364	#4031	—	2	1	no	—
365	#4031	—	2	1	no	—
366	#4031	—	2	1	no	—
367	#4031	—	2	1	no	—
368	#4031	—	2	1	no	—
369	#4031	—	2	1	no	—
370	#4030	—	2	1	no	—
371	#4030	—	2	1	no	—
372	#4030	—	2	1	no	—
373	#4030	—	2	1	no	—
374	#4029	—	2	1	no	—
375	#4029	—	2	1	no	—
376	#4029	—	2	1	no	—
377	#4029	—	2	1	no	—
378	#4029	—	2	1	no	—
379	#4029	—	2	1	no	—
380	#4028	—	2	1	no	—
381	#4028	—	2	1	no	—
382	#4027	—	2	1	no	—
383	#4027	—	2	1	no	—
384	#4027	—	2	1	no	—
385	#4027	—	2	1	no	—
386	#4027	—	2	1	no	—
387	#4027	—	2	1	no	—
388	D₅×C₂²⋊C₄	—	2	1	no	—
389	D₅×C₂²⋊C₄	—	2	1	no	—
390	D₅×C₂²⋊C₄	—	2	1	no	—
391	#4025	—	2	1	no	—
392	#4025	—	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	#4023	—	2	1	no	—
400	#4023	—	2	1	no	—
401	#4023	—	2	1	no	—
402	#4022	—	2	1	no	—
403	#4022	—	2	1	no	—
404	#4021	—	2	1	no	—
405	#4021	C₂³	1	1	yes	characteristic
406	#4021	C₂³	1	1	yes	characteristic
407	#4021	C₂³	1	1	yes	characteristic
408	#4021	C₂³	1	1	yes	characteristic
409	#4020	C₂³	1	1	yes	characteristic
410	C₄×D₂₀	—	2	1	no	—
411	C₄×D₂₀	—	2	1	no	—
412	C₄×D₂₀	—	2	1	no	—
413	C₄×D₂₀	C₂³	1	1	yes	characteristic
414	C₄×D₂₀	C₂³	1	1	yes	characteristic
415	C₄×D₂₀	C₂³	1	1	yes	characteristic
416	#4018	—	2	1	no	—
417	#4018	—	2	1	no	—
418	#4018	—	2	1	no	—
419	#4018	—	2	1	no	—
420	#4018	C₂³	1	1	yes	characteristic
421	#4018	C₂³	1	1	yes	characteristic
422	C₄²×D₅	—	2	1	no	—
423	C₄²×D₅	—	2	1	no	—
424	C₄²×D₅	C₂³	1	1	yes	characteristic
425	#4016	—	2	1	no	—
426	#4015	C₂³	1	1	yes	characteristic
427	C₄×Dic₁₀	—	2	1	no	—
428	C₄×Dic₁₀	—	2	1	no	—
429	C₄×Dic₁₀	—	2	1	no	—
430	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
431	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
432	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
433	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
434	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
435	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
436	C₅×#107	C₂³	1	1	yes	characteristic
437	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
438	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
439	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
440	C₅×#103	C₂³	1	1	yes	characteristic
441	C₅×#103	C₂³	1	1	yes	characteristic
442	C₅×#103	C₂³	1	1	yes	characteristic
443	C₅×#103	C₂³	1	1	yes	characteristic
444	C₅×#102	C₂³	1	1	yes	characteristic
445	C₅×#102	C₂³	1	1	yes	characteristic
446	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
447	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
448	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
449	#3967	C₂³	1	1	yes	characteristic
450	#3967	C₂³	1	1	yes	characteristic
451	#3967	C₂³	1	1	yes	characteristic
452	#3967	C₂³	1	1	yes	characteristic
453	#3964	C₂³	1	1	yes	characteristic
454	#3964	C₂³	1	1	yes	characteristic
455	#3953	C₂³	1	1	yes	characteristic
456	#3953	C₂³	1	1	yes	characteristic
457	#3953	C₂³	1	1	yes	characteristic
458	#3949	C₂³	1	1	yes	characteristic
459	#3948	C₂³	1	1	yes	characteristic
460	#3948	C₂³	1	1	yes	characteristic
461	#3948	C₂³	1	1	yes	characteristic
462	#3947	C₂³	1	1	yes	characteristic
463	#3947	C₂³	1	1	yes	characteristic
464	#3947	C₂³	1	1	yes	characteristic
465	#3947	C₂³	1	1	yes	characteristic
466	#3946	C₂³	1	1	yes	characteristic
467	#3946	C₂³	1	1	yes	characteristic
468	#3946	C₂³	1	1	yes	characteristic
469	#3946	C₂³	1	1	yes	characteristic
470	#3946	C₂³	1	1	yes	characteristic
471	#3946	C₂³	1	1	yes	characteristic
472	C₈×Dic₅	C₂³	1	1	yes	characteristic
473	C₈×Dic₅	C₂³	1	1	yes	characteristic
474	#3942	C₂³	1	1	yes	characteristic
475	#3942	C₂³	1	1	yes	characteristic
476	#3942	C₂³	1	1	yes	characteristic
477	#3941	C₂³	1	1	yes	characteristic
478	#3941	C₂³	1	1	yes	characteristic
479	#3941	C₂³	1	1	yes	characteristic
480	#3940	C₂³	1	1	yes	characteristic
481	#3939	C₂³	1	1	yes	characteristic
482	C₄⋊#168	C₂³	1	1	yes	characteristic
483	C₄⋊#168	C₂³	1	1	yes	characteristic
484	C₄⋊#168	C₂³	1	1	yes	characteristic
485	#3935	C₂³	1	1	yes	characteristic
486	#3935	C₂³	1	1	yes	characteristic
487	C₄×#168	C₂³	1	1	yes	characteristic
488	#3510	—	5	1	no	—
489	#3507	—	5	1	no	—
490	#3403	—	5	1	no	—
491	#3403	—	5	1	no	—
492	#3402	—	5	1	no	—
493	#3402	—	5	1	no	—
494	#3401	—	5	1	no	—
495	#3401	—	5	1	no	—
496	#3401	—	5	1	no	—
497	#3401	—	5	1	no	—
498	#3400	—	5	1	no	—
499	#3400	—	5	1	no	—
500	#3398	—	5	1	no	—
501	#3398	—	5	1	no	—
502	#3394	—	5	1	no	—
503	#3394	—	5	1	no	—
504	#3393	—	5	1	no	—
505	#3393	D₅	1	1	yes	characteristic, complemented
506	#3156	—	5	1	no	—
507	#3154	—	5	1	no	—
508	#3153	—	5	1	no	—
509	#3046	—	5	1	no	—
510	#3045	—	5	1	no	—
511	#3044	—	5	1	no	—
512	#3042	—	5	1	no	—
513	#3035	—	5	1	no	—
514	C₂×#464	—	5	1	no	—
515	#2962	—	5	1	no	—
516	#2947	—	5	1	no	—
517	#2946	—	5	1	no	—
518	C₄×#137	—	5	1	no	—
519	C₂³×D₅	—	2	1	no	—
520	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
521	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
522	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
523	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
524	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
525	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
526	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₅	—	2	1	no	—
528	C₂²×C₄×C₅	—	2	1	no	—
529	C₂×C₂²⋊D₅	—	2	1	no	—
530	C₂×C₂²⋊D₅	—	2	1	no	—
531	C₂×C₂²⋊D₅	—	2	1	no	—
532	C₂×C₂²⋊D₅	—	2	1	no	—
533	C₂×C₂²⋊D₅	—	2	1	no	—
534	C₂×C₂²⋊D₅	—	2	1	no	—
535	C₂²×Dic₅	—	2	1	no	—
536	C₂²×Dic₅	—	2	1	no	—
537	C₂²×Dic₅	—	2	1	no	—
538	#713	—	2	2	no	—
539	#713	—	2	2	no	—
540	#713	—	2	2	no	—
541	#713	—	2	2	no	—
542	Q₈×D₅	—	2	2	no	—
543	Q₈×D₅	—	2	2	no	—
544	Q₈×D₅	—	2	2	no	—
545	Q₈×D₅	—	2	2	no	—
546	#711	—	2	2	no	—
547	#711	—	2	2	no	—
548	D₄×D₅	—	2	2	no	—
549	D₄×D₅	—	2	2	no	—
550	C₂×D₂₀	—	2	1	no	—
551	C₂×D₂₀	—	2	1	no	—
552	C₂×D₂₀	—	2	1	no	—
553	C₂×D₂₀	—	2	1	no	—
554	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
555	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
556	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
569	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
570	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
571	C₂×Dic₁₀	—	2	1	no	—
572	C₂×Dic₁₀	—	2	1	no	—
573	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
574	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
575	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
576	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
577	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
578	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
579	C₅×Q₁₆	—	2	2	no	—
580	C₅×Q₁₆	—	2	2	no	—
581	C₅×Q₁₆	—	4	1	no	—
582	C₅×Q₁₆	—	4	1	no	—
583	C₅×SD₁₆	—	4	1	no	—
584	C₅×SD₁₆	—	4	1	no	—
585	C₅×SD₁₆	—	4	1	no	—
586	C₅×SD₁₆	—	4	1	no	—
587	C₅×D₈	—	2	2	no	—
588	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
589	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
590	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
591	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
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×C₂²⋊C₄	—	2	1	no	—
606	C₅×C₂²⋊C₄	—	2	1	no	—
607	C₅×C₂²⋊C₄	—	2	1	no	—
608	C₅×C₂²⋊C₄	—	2	1	no	—
609	C₅×C₂²⋊C₄	—	2	1	no	—
610	C₅×C₂²⋊C₄	—	2	1	no	—
611	C₅×C₂²⋊C₄	—	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	—	2	1	no	—
616	C₄²×C₅	—	2	1	no	—
617	C₄²×C₅	—	2	1	no	—
618	C₄²×C₅	—	2	1	no	—
619	C₄²×C₅	C₂⁴	1	1	yes	characteristic
620	C₄²×C₅	C₂⁴	1	1	yes	characteristic
621	C₄²×C₅	C₂⁴	1	1	yes	characteristic
622	C₂²⋊Dic₅	—	2	1	no	—
623	C₂²⋊Dic₅	—	2	1	no	—
624	C₂²⋊Dic₅	—	2	1	no	—
625	C₂²⋊Dic₅	—	2	1	no	—
626	C₂²⋊Dic₅	—	2	1	no	—
627	C₂²⋊Dic₅	—	2	1	no	—
628	#689	—	2	2	no	—
629	#689	—	2	2	no	—
630	#689	—	4	1	no	—
631	#689	—	4	1	no	—
632	#689	—	4	1	no	—
633	#689	—	4	1	no	—
634	#688	—	2	2	no	—
635	#688	—	2	2	no	—
636	#688	—	4	1	no	—
637	#688	—	4	1	no	—
638	#688	—	4	1	no	—
639	#688	—	4	1	no	—
640	#687	—	2	2	no	—
641	#687	—	4	1	no	—
642	#687	—	4	1	no	—
643	#686	—	2	2	no	—
644	#686	—	4	1	no	—
645	#686	—	4	1	no	—
646	#685	—	2	1	no	—
647	#685	—	2	1	no	—
648	#685	—	2	1	no	—
649	#685	—	2	1	no	—
650	#685	—	2	1	no	—
651	#685	—	2	1	no	—
652	#685	—	2	1	no	—
653	#685	—	2	1	no	—
654	#685	—	2	1	no	—
655	#685	—	2	1	no	—
656	#685	—	2	1	no	—
657	#685	—	2	1	no	—
658	#685	—	2	1	no	—
659	#685	—	2	1	no	—
660	#685	—	2	1	no	—
661	#685	—	2	1	no	—
662	#685	—	2	1	no	—
663	#685	—	2	1	no	—
664	#685	—	2	1	no	—
665	#685	—	2	1	no	—
666	#685	—	2	1	no	—
667	#685	—	2	1	no	—
668	#685	—	2	1	no	—
669	#685	C₂×D₄	1	1	yes	characteristic
670	#685	C₂×D₄	1	1	yes	characteristic
671	#685	C₂×D₄	1	1	yes	characteristic
672	#685	C₂×D₄	1	1	yes	characteristic
673	C₄⋊Dic₅	—	2	1	no	—
674	C₄⋊Dic₅	—	2	1	no	—
675	C₄⋊Dic₅	—	2	1	no	—
676	C₄⋊Dic₅	—	2	1	no	—
677	C₄⋊Dic₅	—	2	1	no	—
678	C₄⋊Dic₅	—	2	1	no	—
679	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
680	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
681	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
682	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
683	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
684	#683	—	2	1	no	—
685	#683	—	2	1	no	—
686	#683	—	2	1	no	—
687	#683	—	2	1	no	—
688	#683	—	2	1	no	—
689	#683	—	2	1	no	—
690	#683	—	2	1	no	—
691	#683	—	2	1	no	—
692	#683	—	2	1	no	—
693	#683	—	2	1	no	—
694	#683	—	2	1	no	—
695	#683	—	2	1	no	—
696	#683	—	2	1	no	—
697	#683	—	2	1	no	—
698	#683	—	2	1	no	—
699	#683	C₂×D₄	1	1	yes	characteristic
700	#683	C₂×D₄	1	1	yes	characteristic
701	#683	C₂×D₄	1	1	yes	characteristic
702	#683	C₂×D₄	1	1	yes	characteristic
703	#683	C₂×D₄	1	1	yes	characteristic
704	#683	C₂×D₄	1	1	yes	characteristic
705	#683	C₂×D₄	1	1	yes	characteristic
706	#683	C₂×D₄	1	1	yes	characteristic
707	#683	C₂×D₄	1	1	yes	characteristic
708	#683	C₂×D₄	1	1	yes	characteristic
709	C₄×Dic₅	—	2	1	no	—
710	C₄×Dic₅	—	2	1	no	—
711	C₄×Dic₅	—	2	1	no	—
712	C₄×Dic₅	—	2	1	no	—
713	C₄×Dic₅	—	2	1	no	—
714	C₄×Dic₅	—	2	1	no	—
715	C₄×Dic₅	—	2	1	no	—
716	C₄×Dic₅	—	2	1	no	—
717	C₄×Dic₅	—	2	1	no	—
718	C₄×Dic₅	—	2	1	no	—
719	C₄×Dic₅	—	2	1	no	—
720	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
721	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
722	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
723	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
724	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
725	C₂×#168	C₂⁴	1	1	yes	characteristic
726	C₂×#168	C₂⁴	1	1	yes	characteristic
727	C₂×#168	C₂⁴	1	1	yes	characteristic
728	C₂×#168	C₂⁴	1	1	yes	characteristic
729	Dic₂₀	—	4	1	no	—
730	Dic₂₀	—	4	1	no	—
731	D₄₀	—	4	1	no	—
732	D₄₀	—	4	1	no	—
733	#677	—	2	2	no	—
734	#677	—	2	2	no	—
735	#677	—	2	2	no	—
736	#677	—	4	1	no	—
737	#677	—	4	1	no	—
738	#676	—	2	2	no	—
739	#676	#41	1	4	yes	—
740	C₈×D₅	—	2	2	no	—
741	C₈×D₅	—	2	2	no	—
742	C₂×#137	—	5	1	no	—
743	C₂×#137	—	5	1	no	—
744	C₂×#137	—	5	1	no	—
745	C₂×AGL(1,ℤ/8)	—	5	1	no	—
746	C₂×AGL(1,ℤ/8)	—	5	1	no	—
747	C₂×#135	—	5	1	no	—
748	C₂×#135	—	5	1	no	—
749	C₂²×Q₁₆	—	5	1	no	—
750	C₂²×SD₁₆	—	5	1	no	—
751	#559	—	5	1	no	—
752	#559	—	5	1	no	—
753	#559	—	5	1	no	—
754	#559	—	5	1	no	—
755	#559	—	5	1	no	—
756	#559	—	5	1	no	—
757	#557	—	5	1	no	—
758	#557	—	5	1	no	—
759	#556	—	5	1	no	—
760	#556	—	5	1	no	—
761	#556	—	5	1	no	—
762	#556	—	5	1	no	—
763	#556	—	5	1	no	—
764	#556	—	5	1	no	—
765	#556	—	10	1	no	—
766	#556	C₂×D₅	1	1	yes	characteristic
767	#556	C₂×D₅	1	1	yes	characteristic, complemented
768	#554	—	10	1	no	—
769	#552	—	10	1	no	—
770	#552	—	10	1	no	—
771	#551	—	10	1	no	—
772	#551	—	10	1	no	—
773	#551	—	10	1	no	—
774	#551	—	10	1	no	—
775	#542	—	10	1	no	—
776	#542	—	10	1	no	—
777	#539	—	10	1	no	—
778	#539	—	10	1	no	—
779	#536	—	5	1	no	—
780	#536	—	5	1	no	—
781	#536	—	5	1	no	—
782	#535	—	5	1	no	—
783	#533	—	5	1	no	—
784	#532	—	5	1	no	—
785	#529	—	10	1	no	—
786	#529	—	10	1	no	—
787	#529	—	10	1	no	—
788	#529	—	10	1	no	—
789	C₂×#124	—	5	1	no	—
790	#520	—	5	1	no	—
791	#520	—	5	1	no	—
792	#519	—	5	1	no	—
793	#518	—	5	1	no	—
794	C₄×#41	—	5	1	no	—
795	C₂×C₄×Q₈	—	5	1	no	—
796	#497	—	5	1	no	—
797	#497	—	5	1	no	—
798	#497	—	5	1	no	—
799	#497	—	5	1	no	—
800	#497	—	5	1	no	—
801	#497	—	5	1	no	—
802	#497	—	5	1	no	—
803	#497	—	5	1	no	—
804	#496	—	5	1	no	—
805	#496	—	5	1	no	—
806	#496	—	5	1	no	—
807	#496	—	5	1	no	—
808	#495	—	5	1	no	—
809	#495	—	5	1	no	—
810	#495	—	5	1	no	—
811	#495	—	5	1	no	—
812	#495	—	5	1	no	—
813	#495	—	5	1	no	—
814	#495	C₂×D₅	1	1	yes	characteristic
815	#495	C₂×D₅	1	1	yes	characteristic
816	#494	—	5	1	no	—
817	#494	C₂×D₅	1	1	yes	characteristic, complemented
818	#492	—	5	1	no	—
819	#492	—	5	1	no	—
820	#464	—	5	1	no	—
821	#464	—	5	1	no	—
822	#464	—	5	1	no	—
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	#464	—	5	1	no	—
832	#464	—	5	1	no	—
833	#464	—	5	1	no	—
834	#464	C₂×D₅	1	1	yes	characteristic
835	#464	C₂×D₅	1	1	yes	characteristic
836	#464	C₂×D₅	1	1	yes	characteristic, complemented
837	#464	C₂×D₅	1	1	yes	characteristic, complemented
838	#463	—	5	1	no	—
839	#463	—	5	1	no	—
840	#463	—	5	1	no	—
841	#463	—	5	1	no	—
842	#463	—	5	1	no	—
843	#463	—	5	1	no	—
844	#463	—	5	1	no	—
845	#463	—	5	1	no	—
846	#463	—	5	1	no	—
847	#463	—	5	1	no	—
848	#462	—	5	1	no	—
849	#462	—	5	1	no	—
850	#462	—	5	1	no	—
851	#462	—	5	1	no	—
852	#462	—	5	1	no	—
853	#462	—	5	1	no	—
854	#462	—	5	1	no	—
855	#461	—	5	1	no	—
856	#461	—	5	1	no	—
857	#461	—	5	1	no	—
858	#461	—	5	1	no	—
859	#461	—	5	1	no	—
860	#461	C₂×D₅	1	1	yes	characteristic
861	#461	C₂×D₅	1	1	yes	characteristic, complemented
862	#460	—	5	1	no	—
863	#460	—	5	1	no	—
864	#460	—	5	1	no	—
865	#459	—	5	1	no	—
866	#459	—	5	1	no	—
867	#459	—	5	1	no	—
868	#446	—	5	1	no	—
869	#446	—	5	1	no	—
870	#446	—	5	1	no	—
871	#446	—	5	1	no	—
872	#446	—	5	1	no	—
873	#446	—	5	1	no	—
874	C₈×Q₈	—	5	1	no	—
875	C₈×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
876	#442	—	5	1	no	—
877	#442	—	5	1	no	—
878	#441	—	5	1	no	—
879	#441	—	5	1	no	—
880	#441	—	5	1	no	—
881	#441	—	5	1	no	—
882	#440	—	5	1	no	—
883	#440	—	5	1	no	—
884	#440	—	5	1	no	—
885	#440	—	5	1	no	—
886	#440	—	5	1	no	—
887	#440	—	5	1	no	—
888	C₄×Q₁₆	—	5	1	no	—
889	C₄×Q₁₆	—	5	1	no	—
890	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic, complemented
891	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic, complemented
892	C₄×SD₁₆	—	5	1	no	—
893	C₄×SD₁₆	—	5	1	no	—
894	C₄×SD₁₆	—	5	1	no	—
895	C₄×SD₁₆	—	5	1	no	—
896	C₄×SD₁₆	—	5	1	no	—
897	C₄×SD₁₆	—	5	1	no	—
898	C₄×D₈	—	5	1	no	—
899	C₄×D₈	C₂×D₅	1	1	yes	characteristic
900	#428	—	5	1	no	—
901	#424	—	5	1	no	—
902	#424	—	5	1	no	—
903	C₂×C₄⋊C₈	—	5	1	no	—
904	#419	—	5	1	no	—
905	#417	—	5	1	no	—
906	#416	—	5	1	no	—
907	#416	—	5	1	no	—
908	C₂×#103	—	5	1	no	—
909	C₂×#102	—	5	1	no	—
910	#405	—	5	1	no	—
911	#405	—	5	1	no	—
912	C₄×M₁₆	—	5	1	no	—
913	C₂³×C₅	—	2	1	no	—
914	C₂³×C₅	—	2	1	no	—
915	C₂²×D₅	—	2	1	no	—
916	C₂²×D₅	—	2	1	no	—
917	C₂²×D₅	—	2	1	no	—
918	C₂²×D₅	—	4	2	no	—
919	C₂²×D₅	—	8	1	no	—
920	C₂²×D₅	—	8	1	no	—
921	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
922	C₅×Q₈	—	2	1	no	—
923	C₅×Q₈	—	2	1	no	—
924	C₅×Q₈	—	2	1	no	—
925	C₅×Q₈	—	2	1	no	—
926	C₅×Q₈	—	2	1	no	—
927	C₅×Q₈	—	2	1	no	—
928	C₅×Q₈	—	2	1	no	—
929	C₅×Q₈	—	2	1	no	—
930	C₅×Q₈	—	4	1	no	—
931	C₅×D₄	—	2	1	no	—
932	C₅×D₄	—	2	1	no	—
933	C₅×D₄	—	2	1	no	—
934	C₅×D₄	—	2	1	no	—
935	C₂×C₄×C₅	—	2	1	no	—
936	C₂×C₄×C₅	—	2	1	no	—
937	C₂×C₄×C₅	—	2	1	no	—
938	C₂×C₄×C₅	—	2	1	no	—
939	C₂×C₄×C₅	—	2	1	no	—
940	C₂×C₄×C₅	—	2	1	no	—
941	C₂×C₄×C₅	—	8	1	no	—
942	C₂×C₄×C₅	—	8	1	no	—
943	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
944	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
945	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
946	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
947	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
948	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
949	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
950	C₂²⋊D₅	—	4	2	no	—
951	C₂²⋊D₅	—	4	2	no	—
952	C₂²⋊D₅	—	4	2	no	—
953	C₂²⋊D₅	—	8	1	no	—
954	C₂²⋊D₅	—	8	1	no	—
955	C₂²⋊D₅	—	8	1	no	—
956	C₂×Dic₅	—	2	1	no	—
957	C₂×Dic₅	—	2	1	no	—
958	C₂×Dic₅	—	2	1	no	—
959	C₂×Dic₅	—	2	1	no	—
960	C₂×Dic₅	—	2	1	no	—
961	C₂×Dic₅	—	4	2	no	—
962	C₂×Dic₅	—	8	1	no	—
963	C₂×Dic₅	—	8	1	no	—
964	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
965	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
966	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
967	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
968	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
969	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
970	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
971	D₂₀	—	2	1	no	—
972	D₂₀	—	2	1	no	—
973	D₂₀	—	2	1	no	—
974	D₂₀	—	2	1	no	—
975	D₂₀	—	2	1	no	—
976	D₂₀	—	2	1	no	—
977	D₂₀	—	4	2	no	—
978	D₂₀	—	4	2	no	—
979	D₂₀	—	8	1	no	—
980	D₂₀	—	8	1	no	—
981	C₄×D₅	—	4	1	no	—
982	C₄×D₅	—	4	1	no	—
983	C₄×D₅	—	4	2	no	—
984	C₄×D₅	—	4	2	no	—
985	C₄×D₅	—	4	2	no	—
986	C₄×D₅	—	4	2	no	—
987	C₄×D₅	—	8	1	no	—
988	C₄×D₅	—	8	1	no	—
989	C₄×D₅	—	8	1	no	—
990	C₄×D₅	—	8	1	no	—
991	C₄×D₅	—	8	1	no	—
992	C₄×D₅	—	8	1	no	—
993	C₄×D₅	—	8	1	no	—
994	C₄×D₅	C₂×#41	1	2	yes	—
995	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
996	Dic₁₀	—	2	1	no	—
997	Dic₁₀	—	2	1	no	—
998	Dic₁₀	—	2	1	no	—
999	Dic₁₀	—	2	1	no	—
1000	Dic₁₀	—	2	1	no	—
1001	Dic₁₀	—	2	1	no	—
1002	Dic₁₀	—	4	1	no	—
1003	Dic₁₀	—	4	1	no	—
1004	Dic₁₀	—	4	1	no	—
1005	Dic₁₀	—	4	2	no	—
1006	Dic₁₀	—	4	2	no	—
1007	C₅×C₈	—	2	1	no	—
1008	C₅×C₈	—	2	1	no	—
1009	C₅×C₈	—	2	1	no	—
1010	C₅×C₈	C₂×#41	1	2	yes	—
1011	#168	—	2	1	no	—
1012	#168	—	2	1	no	—
1013	#168	—	2	1	no	—
1014	#168	C₂×#41	1	2	yes	—
1015	C₂×#41	—	5	1	no	—
1016	C₂×#41	—	5	1	no	—
1017	C₂×#41	—	5	1	no	—
1018	C₂²×Q₈	—	5	1	no	—
1019	C₂²×Q₈	—	5	1	no	—
1020	C₂²×D₄	—	5	1	no	—
1021	#137	—	10	4	no	—
1022	#137	—	10	4	no	—
1023	#137	—	20	2	no	—
1024	AGL(1,ℤ/8)	—	10	4	no	—
1025	AGL(1,ℤ/8)	—	20	2	no	—
1026	#135	—	20	2	no	—
1027	#135	—	20	2	no	—
1028	C₂×Q₁₆	—	5	1	no	—
1029	C₂×Q₁₆	—	5	1	no	—
1030	C₂×Q₁₆	—	5	1	no	—
1031	C₂×Q₁₆	—	5	1	no	—
1032	C₂×Q₁₆	—	5	1	no	—
1033	C₂×Q₁₆	—	5	1	no	—
1034	C₂×Q₁₆	—	5	1	no	—
1035	C₂×Q₁₆	—	5	1	no	—
1036	C₂×Q₁₆	—	20	2	no	—
1037	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1038	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1039	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1040	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1041	C₂×SD₁₆	—	5	1	no	—
1042	C₂×SD₁₆	—	5	1	no	—
1043	C₂×SD₁₆	—	5	1	no	—
1044	C₂×SD₁₆	—	5	1	no	—
1045	C₂×SD₁₆	—	5	1	no	—
1046	C₂×SD₁₆	—	5	1	no	—
1047	C₂×SD₁₆	—	5	1	no	—
1048	C₂×SD₁₆	—	5	1	no	—
1049	C₂×SD₁₆	—	5	1	no	—
1050	C₂×SD₁₆	—	5	1	no	—
1051	C₂×SD₁₆	—	5	1	no	—
1052	C₂×SD₁₆	—	5	1	no	—
1053	C₂×SD₁₆	—	5	1	no	—
1054	C₂×SD₁₆	—	5	1	no	—
1055	C₂×SD₁₆	—	20	2	no	—
1056	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1057	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1058	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1059	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1060	C₂×D₈	—	5	1	no	—
1061	C₂×D₈	—	5	1	no	—
1062	C₂×D₈	—	5	1	no	—
1063	C₂×D₈	—	5	1	no	—
1064	C₂×D₈	—	5	1	no	—
1065	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1066	C₂×M₁₆	—	5	1	no	—
1067	C₂×M₁₆	—	5	1	no	—
1068	C₂²×C₈	—	5	1	no	—
1069	C₂²×C₈	—	5	1	no	—
1070	C₄⋊Q₈	—	5	1	no	—
1071	C₄⋊Q₈	—	5	1	no	—
1072	C₄⋊Q₈	—	5	1	no	—
1073	C₄⋊Q₈	—	5	1	no	—
1074	C₄⋊Q₈	—	5	1	no	—
1075	C₄⋊Q₈	—	5	1	no	—
1076	C₄⋊Q₈	—	5	1	no	—
1077	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1078	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1079	#127	—	5	1	no	—
1080	#127	—	5	1	no	—
1081	#127	—	5	1	no	—
1082	#126	—	2	1	no	—
1083	#126	—	2	1	no	—
1084	#126	—	2	1	no	—
1085	#126	—	2	1	no	—
1086	#126	—	10	1	no	—
1087	#126	—	10	1	no	—
1088	#126	—	10	1	no	—
1089	#126	—	10	1	no	—
1090	#126	—	10	1	no	—
1091	#126	—	10	1	no	—
1092	#126	—	10	1	no	—
1093	#126	—	10	1	no	—
1094	#126	—	10	1	no	—
1095	#126	—	10	1	no	—
1096	#126	—	10	1	no	—
1097	#126	—	10	1	no	—
1098	#125	—	5	1	no	—
1099	#125	—	5	1	no	—
1100	#125	—	10	1	no	—
1101	#125	—	10	1	no	—
1102	#125	—	10	1	no	—
1103	#125	—	10	1	no	—
1104	#125	—	10	1	no	—
1105	#125	—	10	1	no	—
1106	#124	—	5	1	no	—
1107	#124	—	5	1	no	—
1108	#124	—	5	1	no	—
1109	#124	—	5	1	no	—
1110	#124	—	5	1	no	—
1111	#124	—	5	1	no	—
1112	#124	—	5	1	no	—
1113	#124	—	5	1	no	—
1114	#124	—	5	1	no	—
1115	#124	—	5	1	no	—
1116	#124	—	10	1	no	—
1117	#124	—	10	1	no	—
1118	#124	—	10	1	no	—
1119	#124	—	10	1	no	—
1120	#124	—	10	1	no	—
1121	#124	—	10	1	no	—
1122	#124	—	10	1	no	—
1123	#124	—	10	1	no	—
1124	#124	C₂²×D₅	1	1	yes	characteristic
1125	#124	C₂²×D₅	1	1	yes	characteristic
1126	#124	C₂²×D₅	1	1	yes	characteristic
1127	#124	C₂²×D₅	1	1	yes	characteristic
1128	#123	—	10	1	no	—
1129	#123	—	10	1	no	—
1130	#123	—	10	1	no	—
1131	#123	—	10	1	no	—
1132	#123	—	10	1	no	—
1133	#123	—	10	1	no	—
1134	#123	—	10	1	no	—
1135	#123	—	10	1	no	—
1136	#123	—	10	1	no	—
1137	#123	—	10	1	no	—
1138	#123	—	10	1	no	—
1139	#123	—	10	1	no	—
1140	#123	—	10	1	no	—
1141	#123	—	10	1	no	—
1142	#123	—	10	1	no	—
1143	#123	—	10	1	no	—
1144	#123	—	10	1	no	—
1145	#123	—	10	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	—	2	1	no	—
1148	C₂²⋊Q₈	—	5	1	no	—
1149	C₂²⋊Q₈	—	5	1	no	—
1150	C₂²⋊Q₈	—	5	1	no	—
1151	C₂²⋊Q₈	—	5	1	no	—
1152	C₂²⋊Q₈	—	10	1	no	—
1153	C₂²⋊Q₈	—	10	1	no	—
1154	C₂²⋊Q₈	—	10	1	no	—
1155	C₂²⋊Q₈	—	10	1	no	—
1156	C₂²⋊Q₈	—	10	1	no	—
1157	C₂²⋊Q₈	—	10	1	no	—
1158	C₂²⋊Q₈	—	10	1	no	—
1159	C₂²⋊Q₈	—	10	1	no	—
1160	C₂²⋊Q₈	—	10	1	no	—
1161	C₂²⋊Q₈	—	10	1	no	—
1162	C₂²⋊Q₈	—	10	1	no	—
1163	C₂²⋊Q₈	—	10	1	no	—
1164	#121	—	10	1	no	—
1165	#121	—	10	1	no	—
1166	#121	—	10	1	no	—
1167	#121	—	10	1	no	—
1168	#120	—	10	1	no	—
1169	#120	—	10	1	no	—
1170	C₄×Q₈	—	5	1	no	—
1171	C₄×Q₈	—	5	1	no	—
1172	C₄×Q₈	—	5	1	no	—
1173	C₄×Q₈	—	5	1	no	—
1174	C₄×Q₈	—	5	1	no	—
1175	C₄×Q₈	—	5	1	no	—
1176	C₄×Q₈	—	5	1	no	—
1177	C₄×Q₈	—	5	1	no	—
1178	C₄×Q₈	—	5	1	no	—
1179	C₄×Q₈	—	5	1	no	—
1180	C₄×Q₈	—	5	1	no	—
1181	C₄×Q₈	—	5	1	no	—
1182	C₄×Q₈	—	5	1	no	—
1183	C₄×Q₈	—	10	1	no	—
1184	C₄×Q₈	—	10	1	no	—
1185	C₄×Q₈	—	10	1	no	—
1186	C₄×Q₈	—	10	1	no	—
1187	C₄×Q₈	—	10	1	no	—
1188	C₄×Q₈	—	10	1	no	—
1189	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1190	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1191	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1192	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1193	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1194	C₄×D₄	—	5	1	no	—
1195	C₄×D₄	—	5	1	no	—
1196	C₄×D₄	—	5	1	no	—
1197	C₄×D₄	—	5	1	no	—
1198	C₄×D₄	—	5	1	no	—
1199	C₄×D₄	—	5	1	no	—
1200	C₄×D₄	—	5	1	no	—
1201	C₄×D₄	—	5	1	no	—
1202	C₄×D₄	—	10	1	no	—
1203	C₄×D₄	—	10	1	no	—
1204	C₄×D₄	—	10	1	no	—
1205	C₄×D₄	—	10	1	no	—
1206	C₄×D₄	—	10	1	no	—
1207	C₄×D₄	—	10	1	no	—
1208	C₄×D₄	—	10	1	no	—
1209	C₄×D₄	—	10	1	no	—
1210	C₄×D₄	—	10	1	no	—
1211	C₄×D₄	—	10	1	no	—
1212	C₄×D₄	—	10	1	no	—
1213	C₄×D₄	—	10	1	no	—
1214	C₄×D₄	—	10	1	no	—
1215	C₄×D₄	—	10	1	no	—
1216	C₄×D₄	—	10	1	no	—
1217	C₄×D₄	—	10	1	no	—
1218	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1219	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1220	#117	—	2	1	no	—
1221	#117	—	2	1	no	—
1222	#117	—	5	1	no	—
1223	#117	—	5	1	no	—
1224	#117	—	5	1	no	—
1225	#117	—	10	1	no	—
1226	#117	—	10	1	no	—
1227	#117	—	10	1	no	—
1228	#117	—	10	1	no	—
1229	#117	—	10	1	no	—
1230	#117	—	10	1	no	—
1231	#117	—	10	1	no	—
1232	#117	—	10	1	no	—
1233	#117	—	10	1	no	—
1234	#117	—	10	1	no	—
1235	#117	—	10	1	no	—
1236	C₂×C₄⋊C₄	—	5	1	no	—
1237	C₂×C₄⋊C₄	—	10	1	no	—
1238	C₂×C₄⋊C₄	—	10	1	no	—
1239	C₂×C₄⋊C₄	—	10	1	no	—
1240	C₂×C₂²⋊C₄	—	10	1	no	—
1241	C₂×C₂²⋊C₄	—	10	1	no	—
1242	C₂×C₂²⋊C₄	—	10	1	no	—
1243	C₂×C₂²⋊C₄	—	10	1	no	—
1244	C₂×C₄²	—	5	1	no	—
1245	C₂×C₄²	—	10	1	no	—
1246	C₂×C₄²	—	10	1	no	—
1247	#107	—	5	1	no	—
1248	#107	C₂²×D₅	1	1	yes	characteristic
1249	#106	—	5	1	no	—
1250	#106	—	5	1	no	—
1251	C₄⋊C₈	—	5	1	no	—
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	—	5	1	no	—
1258	C₄⋊C₈	—	5	1	no	—
1259	C₄⋊C₈	—	5	1	no	—
1260	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1261	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1262	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1263	#103	—	5	1	no	—
1264	#103	—	5	1	no	—
1265	#103	—	5	1	no	—
1266	#103	—	5	1	no	—
1267	#103	—	5	1	no	—
1268	#103	—	5	1	no	—
1269	#103	—	5	1	no	—
1270	#103	—	5	1	no	—
1271	#103	—	5	1	no	—
1272	#103	—	5	1	no	—
1273	#103	C₂²×D₅	1	1	yes	characteristic
1274	#103	C₂²×D₅	1	1	yes	characteristic
1275	#103	C₂²×D₅	1	1	yes	characteristic
1276	#103	C₂²×D₅	1	1	yes	characteristic
1277	#102	—	5	1	no	—
1278	#102	—	5	1	no	—
1279	#102	—	5	1	no	—
1280	#102	—	5	1	no	—
1281	#102	—	5	1	no	—
1282	#102	—	5	1	no	—
1283	#102	—	5	1	no	—
1284	#102	—	5	1	no	—
1285	#102	C₂²×D₅	1	1	yes	characteristic
1286	#102	C₂²×D₅	1	1	yes	characteristic
1287	#97	—	5	1	no	—
1288	#97	—	5	1	no	—
1289	#97	—	5	1	no	—
1290	#97	—	5	1	no	—
1291	#97	—	5	1	no	—
1292	#97	—	5	1	no	—
1293	C₄×C₈	—	5	1	no	—
1294	C₄×C₈	—	5	1	no	—
1295	C₄×C₈	—	5	1	no	—
1296	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1297	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1298	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1299	C₂²×C₅	—	4	1	no	—
1300	C₂²×C₅	—	4	1	no	—
1301	C₂²×C₅	—	4	1	no	—
1302	C₂²×C₅	—	4	1	no	—
1303	C₂²×C₅	—	4	1	no	—
1304	C₂²×C₅	—	4	1	no	—
1305	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1306	C₂×D₅	—	2	1	no	—
1307	C₂×D₅	—	2	1	no	—
1308	C₂×D₅	—	4	1	no	—
1309	C₂×D₅	—	4	1	no	—
1310	C₂×D₅	—	4	1	no	—
1311	C₂×D₅	—	4	1	no	—
1312	C₂×D₅	—	4	1	no	—
1313	C₂×D₅	—	4	1	no	—
1314	C₂×D₅	—	4	1	no	—
1315	C₂×D₅	—	4	1	no	—
1316	C₂×D₅	—	4	1	no	—
1317	C₂×D₅	—	16	2	no	—
1318	C₂×D₅	#550	1	2	yes	—
1319	C₄×C₅	—	2	1	no	—
1320	C₄×C₅	—	2	1	no	—
1321	C₄×C₅	—	2	1	no	—
1322	C₄×C₅	—	2	1	no	—
1323	C₄×C₅	—	2	1	no	—
1324	C₄×C₅	—	2	1	no	—
1325	C₄×C₅	—	4	1	no	—
1326	C₄×C₅	—	4	1	no	—
1327	C₄×C₅	—	4	1	no	—
1328	C₄×C₅	—	4	1	no	—
1329	C₄×C₅	—	4	1	no	—
1330	C₄×C₅	—	4	1	no	—
1331	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1332	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1333	Dic₅	—	2	1	no	—
1334	Dic₅	—	2	1	no	—
1335	Dic₅	—	2	1	no	—
1336	Dic₅	—	2	1	no	—
1337	Dic₅	—	2	1	no	—
1338	Dic₅	—	2	1	no	—
1339	Dic₅	—	4	1	no	—
1340	Dic₅	—	4	1	no	—
1341	Dic₅	—	4	1	no	—
1342	Dic₅	—	4	1	no	—
1343	Dic₅	—	4	1	no	—
1344	Dic₅	#550	1	2	yes	—
1345	C₂⁴	—	10	1	no	—
1346	#41	—	10	2	no	—
1347	#41	—	10	2	no	—
1348	#41	—	10	2	no	—
1349	#41	—	10	2	no	—
1350	#41	—	10	2	no	—
1351	#41	—	10	2	no	—
1352	C₂×Q₈	—	5	1	no	—
1353	C₂×Q₈	—	5	1	no	—
1354	C₂×Q₈	—	5	1	no	—
1355	C₂×Q₈	—	5	1	no	—
1356	C₂×Q₈	—	5	1	no	—
1357	C₂×Q₈	—	5	1	no	—
1358	C₂×Q₈	—	10	1	no	—
1359	C₂×Q₈	—	10	1	no	—
1360	C₂×Q₈	—	10	2	no	—
1361	C₂×Q₈	—	10	2	no	—
1362	C₂×Q₈	—	10	2	no	—
1363	C₂×Q₈	—	10	2	no	—
1364	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1365	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1366	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1367	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1368	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1369	C₂×D₄	—	5	1	no	—
1370	C₂×D₄	—	5	1	no	—
1371	C₂×D₄	—	5	1	no	—
1372	C₂×D₄	—	10	1	no	—
1373	C₂×D₄	—	10	1	no	—
1374	C₂×D₄	—	10	2	no	—
1375	C₂×D₄	—	10	2	no	—
1376	C₂×D₄	—	10	1	no	—
1377	C₂×D₄	—	10	1	no	—
1378	C₂×D₄	—	10	1	no	—
1379	C₂×D₄	—	10	1	no	—
1380	C₂×D₄	—	10	1	no	—
1381	C₂×D₄	—	10	1	no	—
1382	C₂×D₄	—	10	1	no	—
1383	C₂×D₄	—	10	1	no	—
1384	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1385	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1386	C₂²×C₄	—	2	1	no	—
1387	C₂²×C₄	—	2	1	no	—
1388	C₂²×C₄	—	5	1	no	—
1389	C₂²×C₄	—	5	1	no	—
1390	C₂²×C₄	—	5	1	no	—
1391	C₂²×C₄	—	10	1	no	—
1392	C₂²×C₄	—	10	1	no	—
1393	C₂²×C₄	—	10	1	no	—
1394	C₂²×C₄	—	10	1	no	—
1395	C₂²×C₄	—	10	1	no	—
1396	C₂²×C₄	—	10	1	no	—
1397	C₂²×C₄	—	10	1	no	—
1398	C₂²×C₄	—	10	1	no	—
1399	C₂²×C₄	—	10	1	no	—
1400	C₂²×C₄	—	10	1	no	—
1401	C₂²×C₄	—	10	1	no	—
1402	C₂²×C₄	—	10	1	no	—
1403	C₂²×C₄	—	10	1	no	—
1404	C₂²×C₄	—	10	1	no	—
1405	Q₁₆	—	2	2	no	—
1406	Q₁₆	—	2	2	no	—
1407	Q₁₆	—	4	1	no	—
1408	Q₁₆	—	4	1	no	—
1409	Q₁₆	—	10	2	no	—
1410	Q₁₆	—	10	2	no	—
1411	Q₁₆	—	20	1	no	—
1412	Q₁₆	—	20	1	no	—
1413	Q₁₆	—	20	1	no	—
1414	Q₁₆	—	20	1	no	—
1415	Q₁₆	—	20	1	no	—
1416	Q₁₆	—	20	1	no	—
1417	SD₁₆	—	4	1	no	—
1418	SD₁₆	—	4	1	no	—
1419	SD₁₆	—	4	1	no	—
1420	SD₁₆	—	4	1	no	—
1421	SD₁₆	—	10	2	no	—
1422	SD₁₆	—	10	2	no	—
1423	SD₁₆	—	10	2	no	—
1424	SD₁₆	—	10	2	no	—
1425	SD₁₆	—	10	2	no	—
1426	SD₁₆	—	10	2	no	—
1427	SD₁₆	—	20	1	no	—
1428	SD₁₆	—	20	1	no	—
1429	SD₁₆	—	20	1	no	—
1430	SD₁₆	—	20	1	no	—
1431	SD₁₆	—	20	1	no	—
1432	SD₁₆	—	20	1	no	—
1433	SD₁₆	—	20	1	no	—
1434	SD₁₆	—	20	1	no	—
1435	D₈	—	2	2	no	—
1436	D₈	—	10	2	no	—
1437	D₈	—	20	1	no	—
1438	D₈	—	20	1	no	—
1439	D₈	—	20	1	no	—
1440	D₈	—	20	1	no	—
1441	M₁₆	—	5	4	no	—
1442	M₁₆	—	10	2	no	—
1443	C₂×C₈	—	5	1	no	—
1444	C₂×C₈	—	5	1	no	—
1445	C₂×C₈	—	5	1	no	—
1446	C₂×C₈	—	5	1	no	—
1447	C₂×C₈	—	10	2	no	—
1448	C₂×C₈	—	10	2	no	—
1449	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1450	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1451	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1452	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
1461	C₄⋊C₄	—	5	1	no	—
1462	C₄⋊C₄	—	5	1	no	—
1463	C₄⋊C₄	—	5	1	no	—
1464	C₄⋊C₄	—	5	1	no	—
1465	C₄⋊C₄	—	5	1	no	—
1466	C₄⋊C₄	—	5	1	no	—
1467	C₄⋊C₄	—	5	1	no	—
1468	C₄⋊C₄	—	5	1	no	—
1469	C₄⋊C₄	—	5	1	no	—
1470	C₄⋊C₄	—	5	1	no	—
1471	C₄⋊C₄	—	5	1	no	—
1472	C₄⋊C₄	—	5	1	no	—
1473	C₄⋊C₄	—	5	1	no	—
1474	C₄⋊C₄	—	5	1	no	—
1475	C₄⋊C₄	—	5	1	no	—
1476	C₄⋊C₄	—	10	1	no	—
1477	C₄⋊C₄	—	10	1	no	—
1478	C₄⋊C₄	—	10	1	no	—
1479	C₄⋊C₄	—	10	1	no	—
1480	C₄⋊C₄	—	10	1	no	—
1481	C₄⋊C₄	—	10	1	no	—
1482	C₄⋊C₄	—	10	1	no	—
1483	C₄⋊C₄	—	10	1	no	—
1484	C₄⋊C₄	—	10	1	no	—
1485	C₄⋊C₄	—	10	1	no	—
1486	C₄⋊C₄	—	10	1	no	—
1487	C₄⋊C₄	—	10	1	no	—
1488	C₄⋊C₄	—	10	1	no	—
1489	C₄⋊C₄	—	10	1	no	—
1490	C₄⋊C₄	—	10	1	no	—
1491	C₄⋊C₄	—	10	1	no	—
1492	C₄⋊C₄	—	10	1	no	—
1493	C₄⋊C₄	—	10	1	no	—
1494	C₄⋊C₄	—	10	1	no	—
1495	C₄⋊C₄	—	10	1	no	—
1496	C₄⋊C₄	—	10	1	no	—
1497	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1498	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1499	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1500	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1501	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	5	1	no	—
1513	C₂²⋊C₄	—	5	1	no	—
1514	C₂²⋊C₄	—	5	1	no	—
1515	C₂²⋊C₄	—	5	1	no	—
1516	C₂²⋊C₄	—	10	1	no	—
1517	C₂²⋊C₄	—	10	1	no	—
1518	C₂²⋊C₄	—	10	1	no	—
1519	C₂²⋊C₄	—	10	1	no	—
1520	C₂²⋊C₄	—	10	1	no	—
1521	C₂²⋊C₄	—	10	1	no	—
1522	C₂²⋊C₄	—	10	1	no	—
1523	C₂²⋊C₄	—	10	1	no	—
1524	C₂²⋊C₄	—	10	1	no	—
1525	C₂²⋊C₄	—	10	1	no	—
1526	C₂²⋊C₄	—	10	1	no	—
1527	C₂²⋊C₄	—	10	1	no	—
1528	C₂²⋊C₄	—	10	1	no	—
1529	C₂²⋊C₄	—	10	1	no	—
1530	C₂²⋊C₄	—	10	1	no	—
1531	C₂²⋊C₄	—	10	1	no	—
1532	C₂²⋊C₄	—	10	1	no	—
1533	C₂²⋊C₄	—	10	1	no	—
1534	C₂²⋊C₄	—	10	1	no	—
1535	C₂²⋊C₄	—	10	1	no	—
1536	C₂²⋊C₄	—	10	1	no	—
1537	C₂²⋊C₄	—	10	1	no	—
1538	C₂²⋊C₄	—	10	1	no	—
1539	C₂²⋊C₄	—	10	1	no	—
1540	C₂²⋊C₄	—	10	1	no	—
1541	C₂²⋊C₄	—	10	1	no	—
1542	C₂²⋊C₄	—	10	1	no	—
1543	C₂²⋊C₄	—	10	1	no	—
1544	C₂²⋊C₄	—	10	1	no	—
1545	C₄²	—	2	1	no	—
1546	C₄²	—	2	1	no	—
1547	C₄²	—	2	1	no	—
1548	C₄²	—	2	1	no	—
1549	C₄²	—	5	1	no	—
1550	C₄²	—	5	1	no	—
1551	C₄²	—	5	1	no	—
1552	C₄²	—	5	1	no	—
1553	C₄²	—	5	1	no	—
1554	C₄²	—	10	1	no	—
1555	C₄²	—	10	1	no	—
1556	C₄²	—	10	1	no	—
1557	C₄²	—	10	1	no	—
1558	C₄²	—	10	1	no	—
1559	C₄²	—	10	1	no	—
1560	C₄²	—	10	1	no	—
1561	C₄²	—	10	1	no	—
1562	C₄²	—	10	1	no	—
1563	C₄²	—	10	1	no	—
1564	C₄²	—	10	1	no	—
1565	C₄²	C₂³×D₅	1	1	yes	characteristic
1566	C₄²	C₂³×D₅	1	1	yes	characteristic
1567	C₄²	C₂³×D₅	1	1	yes	characteristic
1568	C₂×C₅	—	8	1	no	—
1569	C₂×C₅	—	8	1	no	—
1570	C₂×C₅	C₂×#550	1	1	yes	characteristic
1571	C₂×C₅	#3584	1	1	yes	characteristic
1572	C₂×C₅	#3586	1	1	yes	characteristic
1573	D₅	—	2	2	no	—
1574	D₅	—	8	1	no	—
1575	D₅	—	8	1	no	—
1576	D₅	—	8	1	no	—
1577	C₂³	—	2	1	no	—
1578	C₂³	—	2	1	no	—
1579	C₂³	—	5	1	no	—
1580	C₂³	—	10	1	no	—
1581	C₂³	—	10	1	no	—
1582	C₂³	—	10	1	no	—
1583	C₂³	—	20	2	no	—
1584	C₂³	—	40	1	no	—
1585	C₂³	—	40	1	no	—
1586	Q₈	—	2	1	no	—
1587	Q₈	—	2	1	no	—
1588	Q₈	—	2	1	no	—
1589	Q₈	—	2	1	no	—
1590	Q₈	—	2	1	no	—
1591	Q₈	—	2	1	no	—
1592	Q₈	—	2	1	no	—
1593	Q₈	—	2	1	no	—
1594	Q₈	—	4	1	no	—
1595	Q₈	—	10	1	no	—
1596	Q₈	—	10	1	no	—
1597	Q₈	—	10	1	no	—
1598	Q₈	—	10	1	no	—
1599	Q₈	—	10	1	no	—
1600	Q₈	—	10	1	no	—
1601	Q₈	—	20	1	no	—
1602	Q₈	—	20	1	no	—
1603	Q₈	—	20	1	no	—
1604	Q₈	—	20	2	no	—
1605	Q₈	—	20	2	no	—
1606	D₄	—	2	1	no	—
1607	D₄	—	2	1	no	—
1608	D₄	—	2	1	no	—
1609	D₄	—	2	1	no	—
1610	D₄	—	10	1	no	—
1611	D₄	—	10	1	no	—
1612	D₄	—	10	1	no	—
1613	D₄	—	10	1	no	—
1614	D₄	—	10	1	no	—
1615	D₄	—	10	1	no	—
1616	D₄	—	20	2	no	—
1617	D₄	—	20	2	no	—
1618	D₄	—	20	2	no	—
1619	D₄	—	20	2	no	—
1620	D₄	—	20	2	no	—
1621	D₄	—	40	1	no	—
1622	D₄	—	40	1	no	—
1623	D₄	—	40	1	no	—
1624	D₄	—	40	1	no	—
1625	D₄	—	40	1	no	—
1626	C₂×C₄	—	2	1	no	—
1627	C₂×C₄	—	2	1	no	—
1628	C₂×C₄	—	2	1	no	—
1629	C₂×C₄	—	2	1	no	—
1630	C₂×C₄	—	2	1	no	—
1631	C₂×C₄	—	2	1	no	—
1632	C₂×C₄	—	5	1	no	—
1633	C₂×C₄	—	5	2	no	—
1634	C₂×C₄	—	5	2	no	—
1635	C₂×C₄	—	5	1	no	—
1636	C₂×C₄	—	5	1	no	—
1637	C₂×C₄	—	5	1	no	—
1638	C₂×C₄	—	5	1	no	—
1639	C₂×C₄	—	5	1	no	—
1640	C₂×C₄	—	5	1	no	—
1641	C₂×C₄	—	8	1	no	—
1642	C₂×C₄	—	8	1	no	—
1643	C₂×C₄	—	10	1	no	—
1644	C₂×C₄	—	10	1	no	—
1645	C₂×C₄	—	10	1	no	—
1646	C₂×C₄	—	10	1	no	—
1647	C₂×C₄	—	10	1	no	—
1648	C₂×C₄	—	20	1	no	—
1649	C₂×C₄	—	20	1	no	—
1650	C₂×C₄	—	20	2	no	—
1651	C₂×C₄	—	20	2	no	—
1652	C₂×C₄	—	20	2	no	—
1653	C₂×C₄	—	20	2	no	—
1654	C₂×C₄	—	20	2	no	—
1655	C₂×C₄	—	40	1	no	—
1656	C₂×C₄	—	40	1	no	—
1657	C₂×C₄	—	40	1	no	—
1658	C₂×C₄	—	40	1	no	—
1659	C₂×C₄	—	40	1	no	—
1660	C₂×C₄	—	40	1	no	—
1661	C₂×C₄	—	40	1	no	—
1662	C₂×C₄	—	40	1	no	—
1663	C₂×C₄	—	40	1	no	—
1664	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1665	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1666	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1667	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1668	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1669	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1670	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1671	C₈	—	2	1	no	—
1672	C₈	—	2	1	no	—
1673	C₈	—	2	1	no	—
1674	C₈	—	5	2	no	—
1675	C₈	—	10	1	no	—
1676	C₈	—	10	1	no	—
1677	C₈	—	10	1	no	—
1678	C₈	D₅×#41	1	2	yes	—
1679	C₅	#61423	1	1	yes	characteristic, complemented, Sylow
1680	C₂²	—	4	1	no	—
1681	C₂²	—	4	1	no	—
1682	C₂²	—	4	1	no	—
1683	C₂²	—	4	1	no	—
1684	C₂²	—	4	1	no	—
1685	C₂²	—	4	1	no	—
1686	C₂²	—	5	2	no	—
1687	C₂²	—	10	1	no	—
1688	C₂²	—	10	1	no	—
1689	C₂²	—	20	1	no	—
1690	C₂²	—	20	1	no	—
1691	C₂²	—	20	1	no	—
1692	C₂²	—	20	1	no	—
1693	C₂²	—	20	1	no	—
1694	C₂²	—	20	1	no	—
1695	C₂²	—	20	1	no	—
1696	C₂²	—	20	1	no	—
1697	C₂²	—	20	1	no	—
1698	C₂²	—	80	2	no	—
1699	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1700	C₄	—	2	1	no	—
1701	C₄	—	2	1	no	—
1702	C₄	—	2	1	no	—
1703	C₄	—	2	1	no	—
1704	C₄	—	2	1	no	—
1705	C₄	—	2	1	no	—
1706	C₄	—	4	1	no	—
1707	C₄	—	4	1	no	—
1708	C₄	—	4	1	no	—
1709	C₄	—	4	1	no	—
1710	C₄	—	4	1	no	—
1711	C₄	—	4	1	no	—
1712	C₄	—	5	2	no	—
1713	C₄	—	10	1	no	—
1714	C₄	—	10	1	no	—
1715	C₄	—	10	1	no	—
1716	C₄	—	10	1	no	—
1717	C₄	—	10	1	no	—
1718	C₄	—	10	1	no	—
1719	C₄	—	20	1	no	—
1720	C₄	—	20	1	no	—
1721	C₄	—	20	1	no	—
1722	C₄	—	20	1	no	—
1723	C₄	—	20	1	no	—
1724	C₄	C₂×D₅×#41	1	1	yes	characteristic
1725	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1726	C₂	—	8	1	no	—
1727	C₂	—	8	1	no	—
1728	C₂	—	10	2	no	—
1729	C₂	—	40	1	no	—
1730	C₂	—	40	1	no	—
1731	C₂	—	40	1	no	—
1732	C₂	D₅×#550	1	1	yes	characteristic
1733	C₂	#10619088	1	1	yes	characteristic
1734	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×#3393	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3393	D₅
hypocenter	C₅	#61423
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3393

Complements

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

N	H ≅ G/N	type
1. #10618908	C₂	semidirect
2. #10618885	C₂	semidirect
3. C₅×#3393	C₂	semidirect
4. #10615412	C₂	semidirect
5. #10615403	C₂	semidirect
6. #10613553	C₂	semidirect
7. #10613552	C₂	semidirect
8. #10613547	C₂	semidirect
9. #10613547	C₂	semidirect
10. #10613532	C₂	semidirect
11. #10613528	C₂	semidirect
12. #10612333	C₂	semidirect
13. #10612332	C₂	semidirect
14. #10612328	C₂	semidirect
15. D₅×#464	C₂	semidirect
16. #10612326	C₂	semidirect
17. #10612321	C₂	semidirect
18. #10612320	C₂	semidirect
19. #10612319	C₂	semidirect
20. #10612162	C₂	semidirect
21. #10612161	C₂	semidirect
22. #10612155	C₂	semidirect
23. #10612154	C₂	semidirect
24. #10611649	C₂	semidirect
25. #10611644	C₂	semidirect
26. #10611450	C₂	semidirect
27. C₄×#4064	C₂	semidirect
28. #10611445	C₂	semidirect
29. #10611444	C₂	semidirect
30. #10611318	C₂	semidirect
31. #10611313	C₂	semidirect
33. C₅×#556	C₂²	semidirect
46. #66055	C₂²	semidirect
56. #66015	C₂²	semidirect
61. #66005	C₂²	semidirect
69. #65918	C₂²	semidirect
76. #65902	C₂²	semidirect
77. #65901	C₂²	semidirect
79. #65893	C₂²	semidirect
88. C₅×#494	C₂²	semidirect
91. C₅×#464	C₂²	semidirect
92. C₅×#464	C₂²	semidirect
94. C₅×#461	C₂²	semidirect
95. C₅×C₈×Q₈	C₂²	semidirect
96. C₄×C₅×Q₁₆	C₂²	semidirect
97. C₄×C₅×Q₁₆	C₂²	semidirect
99. #65480	C₂²	semidirect
102. #65479	C₂²	semidirect
103. #65479	C₂²	semidirect
106. #65473	C₂²	semidirect
107. #65473	C₂²	semidirect
108. #65471	C₂²	semidirect
109. #65471	C₂²	semidirect
110. #65470	C₂²	semidirect
116. #65455	C₂²	semidirect
118. #65454	C₂²	semidirect
120. #65452	C₂²	semidirect
122. #65451	C₂²	semidirect
126. #65379	C₂²	semidirect
127. #65375	C₂²	semidirect
128. #65375	C₂²	semidirect
135. #65346	C₂²	semidirect
137. #65343	C₂²	semidirect
138. #65320	C₂²	semidirect
139. #65319	C₂²	semidirect
140. C₄×#689	C₂²	semidirect
142. #65317	C₂²	semidirect
144. #65315	C₂²	semidirect
145. C₄×#688	C₂²	semidirect
146. #65313	C₂²	semidirect
149. #65305	C₂²	semidirect
152. #65178	C₂²	semidirect
153. #65178	C₂²	semidirect
155. #65138	C₂²	semidirect
157. #65134	C₂²	semidirect
159. #65133	C₂²	semidirect
164. #65119	C₂²	semidirect
165. #65117	C₂²	semidirect
166. #65117	C₂²	semidirect
170. #65107	C₂²	semidirect
171. #65106	C₂²	semidirect
177. #65087	C₂²	semidirect
178. #65082	C₂²	semidirect
179. #65082	C₂²	semidirect
180. #65079	C₂²	semidirect
181. #65078	C₂²	semidirect
182. #65077	C₂²	semidirect
184. #65075	C₂²	semidirect
188. #65056	C₂²	semidirect
192. #64985	C₂²	semidirect
195. C₄×#677	C₂²	semidirect
196. C₄×#677	C₂²	semidirect
200. #64968	C₂²	semidirect
201. #64968	C₂²	semidirect
202. #64968	C₂²	semidirect
505. #3393	D₅	semidirect
767. #556	C₂×D₅	semidirect
817. #494	C₂×D₅	semidirect
836. #464	C₂×D₅	semidirect
837. #464	C₂×D₅	semidirect
861. #461	C₂×D₅	semidirect
875. C₈×Q₈	C₂×D₅	semidirect
890. C₄×Q₁₆	C₂×D₅	semidirect
891. C₄×Q₁₆	C₂×D₅	semidirect
1679. C₅	#61423	semidirect

Maximal subgroups

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

subgroup	index
#10618908	2
#10618885	2
C₅×#3393	2
#10615412	2
#10615403	2
#10613553	2
#10613552	2
#10613547	2
#10613532	2
#10613528	2
#10612333	2
#10612332	2
#10612328	2
D₅×#464	2
#10612326	2
#10612321	2
#10612320	2
#10612319	2
#10612162	2
#10612161	2
#10612155	2
#10612154	2
#10611649	2
#10611644	2
#10611450	2
C₄×#4064	2
#10611445	2
#10611444	2
#10611318	2
#10611313	2
#61423	5