Subgroups — #12980567

Order 1280.

1854 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618953	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618921	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3400	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615443	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615417	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613604	C₂	1	1	yes	maximal, characteristic, complemented
7	D₅×#497	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613598	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613596	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613494	C₂	1	1	yes	maximal, characteristic
11	#10613489	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612332	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612330	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612323	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612321	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612209	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612200	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612161	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612160	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612155	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612153	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612116	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612108	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611690	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611686	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611508	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611503	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611496	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611495	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611451	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611445	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#559	C₂²	1	1	yes	characteristic
33	C₅×#557	C₂²	1	1	yes	characteristic, complemented
34	C₂×#4064	C₂²	1	1	yes	characteristic
35	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic
36	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic
37	C₂×#4062	C₂²	1	1	yes	characteristic
38	C₂×#4061	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×D₅×SD₁₆	C₂²	1	1	yes	characteristic
43	#66066	C₂²	1	1	yes	characteristic, complemented
44	#66058	C₂²	1	1	yes	characteristic
45	#66058	C₂²	1	1	yes	characteristic
46	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
47	#66055	C₂²	1	1	yes	characteristic, complemented
48	#66055	C₂²	1	1	yes	characteristic, complemented
49	#66049	C₂²	1	1	yes	characteristic
50	#66047	C₂²	1	1	yes	characteristic
51	#66030	—	2	1	no	—
52	#66030	—	2	1	no	—
53	#66028	—	2	1	no	—
54	#66027	—	2	1	no	—
55	#66027	—	2	1	no	—
56	#66022	—	2	1	no	—
57	#66015	C₂²	1	1	yes	characteristic
58	#66013	—	2	1	no	—
59	#66009	C₂²	1	1	yes	characteristic
60	D₅×#124	C₂²	1	1	yes	characteristic
61	#66005	C₂²	1	1	yes	characteristic
62	#66003	—	2	1	no	—
63	#65996	—	2	1	no	—
64	#65993	—	2	1	no	—
65	#65992	—	2	1	no	—
66	#65983	—	2	1	no	—
67	#65918	C₂²	1	1	yes	characteristic
68	#65918	C₂²	1	1	yes	characteristic, complemented
69	#65915	—	2	1	no	—
70	#65912	—	2	1	no	—
71	#65912	C₂²	1	1	yes	characteristic
72	C₄×#713	C₂²	1	1	yes	characteristic
73	#65906	C₂²	1	1	yes	characteristic
74	#65906	C₂²	1	1	yes	characteristic
75	#65906	C₂²	1	1	yes	characteristic
76	#65902	C₂²	1	1	yes	characteristic
77	#65902	C₂²	1	1	yes	characteristic, complemented
78	#65902	C₂²	1	1	yes	characteristic, complemented
79	#65901	C₂²	1	1	yes	characteristic, complemented
80	#65893	C₂²	1	1	yes	characteristic
81	#65890	—	2	1	no	—
82	#65879	C₂²	1	1	yes	characteristic
83	#65876	C₂²	1	1	yes	characteristic
84	#65872	—	2	1	no	—
85	C₄×#711	C₂²	1	1	yes	characteristic
86	C₅×#497	C₂²	1	1	yes	characteristic
87	C₅×#497	C₂²	1	1	yes	characteristic, complemented
88	C₅×#492	C₂²	1	1	yes	characteristic
89	C₅×#464	C₂²	1	1	yes	characteristic
90	C₅×#464	C₂²	1	1	yes	characteristic, complemented
91	C₅×#462	C₂²	1	1	yes	characteristic, complemented
92	C₅×#461	C₂²	1	1	yes	characteristic
93	C₅×#461	C₂²	1	1	yes	characteristic, complemented
94	C₅×#460	C₂²	1	1	yes	characteristic
95	C₅×#446	C₂²	1	1	yes	characteristic, complemented
96	C₅×#440	C₂²	1	1	yes	characteristic
97	C₅×#440	C₂²	1	1	yes	characteristic, complemented
98	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
99	#65479	C₂²	1	1	yes	characteristic
100	#65479	C₂²	1	1	yes	characteristic
101	#65479	C₂²	1	1	yes	characteristic, complemented
102	#65474	C₂²	1	1	yes	characteristic
103	#65474	C₂²	1	1	yes	characteristic, complemented
104	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
105	#65471	C₂²	1	1	yes	characteristic, complemented
106	#65471	C₂²	1	1	yes	characteristic, complemented
107	#65470	C₂²	1	1	yes	characteristic, complemented
108	#65465	C₂²	1	1	yes	characteristic
109	#65464	C₂²	1	1	yes	characteristic
110	#65457	C₂²	1	1	yes	characteristic
111	#65457	C₂²	1	1	yes	characteristic, complemented
112	#65456	C₂²	1	1	yes	characteristic
113	#65456	C₂²	1	1	yes	characteristic
114	#65456	C₂²	1	1	yes	characteristic
115	#65456	C₂²	1	1	yes	characteristic, complemented
116	#65455	C₂²	1	1	yes	characteristic
117	#65455	C₂²	1	1	yes	characteristic
118	#65455	C₂²	1	1	yes	characteristic, complemented
119	#65454	C₂²	1	1	yes	characteristic
120	#65453	C₂²	1	1	yes	characteristic
121	#65453	C₂²	1	1	yes	characteristic, complemented
122	#65452	C₂²	1	1	yes	characteristic
123	#65451	C₂²	1	1	yes	characteristic
124	#65451	C₂²	1	1	yes	characteristic, complemented
125	#65451	C₂²	1	1	yes	characteristic, complemented
126	#65381	C₂²	1	1	yes	characteristic, complemented
127	#65379	C₂²	1	1	yes	characteristic, complemented
128	#65379	C₂²	1	1	yes	characteristic, complemented
129	#65375	C₂²	1	1	yes	characteristic
130	#65375	C₂²	1	1	yes	characteristic
131	#65372	C₂²	1	1	yes	characteristic
132	#65364	C₂²	1	1	yes	characteristic
133	#65363	C₂²	1	1	yes	characteristic
134	#65349	C₂²	1	1	yes	characteristic
135	#65348	C₂²	1	1	yes	characteristic, complemented
136	#65346	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	#65319	C₂²	1	1	yes	characteristic, complemented
141	#65319	C₂²	1	1	yes	characteristic, complemented
142	#65317	C₂²	1	1	yes	characteristic
143	#65317	C₂²	1	1	yes	characteristic
144	#65317	C₂²	1	1	yes	characteristic, complemented
145	C₄×#688	C₂²	1	1	yes	characteristic
146	#65313	C₂²	1	1	yes	characteristic, complemented
147	#65308	C₂²	1	1	yes	characteristic, complemented
148	C₄×#687	C₂²	1	1	yes	characteristic
149	#65305	C₂²	1	1	yes	characteristic
150	#65303	C₂²	1	1	yes	characteristic, complemented
151	#65178	C₂²	1	1	yes	characteristic
152	#65178	C₂²	1	1	yes	characteristic, complemented
153	#65169	C₂²	1	1	yes	characteristic
154	#65162	C₂²	1	1	yes	characteristic, complemented
155	#65138	C₂²	1	1	yes	characteristic, complemented
156	#65138	C₂²	1	1	yes	characteristic, complemented
157	#65134	C₂²	1	1	yes	characteristic
158	#65134	C₂²	1	1	yes	characteristic, complemented
159	#65133	C₂²	1	1	yes	characteristic
160	#65133	C₂²	1	1	yes	characteristic
161	#65128	C₂²	1	1	yes	characteristic
162	#65128	C₂²	1	1	yes	characteristic
163	#65126	C₂²	1	1	yes	characteristic
164	#65120	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	#65093	C₂²	1	1	yes	characteristic
171	#65091	C₂²	1	1	yes	characteristic
172	#65091	C₂²	1	1	yes	characteristic
173	#65091	C₂²	1	1	yes	characteristic
174	#65087	C₂²	1	1	yes	characteristic, complemented
175	#65082	C₂²	1	1	yes	characteristic, complemented
176	#65082	C₂²	1	1	yes	characteristic, complemented
177	#65082	C₂²	1	1	yes	characteristic, complemented
178	#65082	C₂²	1	1	yes	characteristic, complemented
179	#65078	C₂²	1	1	yes	characteristic, complemented
180	#65078	C₂²	1	1	yes	characteristic, complemented
181	#65078	C₂²	1	1	yes	characteristic, complemented
182	#65077	C₂²	1	1	yes	characteristic
183	#65076	C₂²	1	1	yes	characteristic
184	#65074	C₂²	1	1	yes	characteristic, complemented
185	#65061	C₂²	1	1	yes	characteristic
186	#65059	C₂²	1	1	yes	characteristic
187	#65056	C₂²	1	1	yes	characteristic
188	#65056	C₂²	1	1	yes	characteristic, complemented
189	#65051	C₂²	1	1	yes	characteristic
190	#65047	C₂²	1	1	yes	characteristic
191	#65004	C₂²	1	1	yes	characteristic
192	#65004	C₂²	1	1	yes	characteristic, complemented
193	#64999	C₂²	1	1	yes	characteristic
194	#64999	C₂²	1	1	yes	characteristic, complemented
195	#64997	C₂²	1	1	yes	characteristic
196	D₅×#97	C₂²	1	1	yes	characteristic
197	#64990	C₂²	1	1	yes	characteristic, complemented
198	#64990	C₂²	1	1	yes	characteristic, complemented
199	C₄×Dic₂₀	C₂²	1	1	yes	characteristic, complemented
200	#64985	C₂²	1	1	yes	characteristic
201	#64978	C₂²	1	1	yes	characteristic
202	#64968	C₂²	1	1	yes	characteristic, complemented
203	#61418	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₅	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×SD₁₆	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×SD₁₆	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×C₄⋊Q₈	C₂³	1	1	yes	characteristic
222	C₅×#127	C₂³	1	1	yes	characteristic
223	C₅×#125	—	2	1	no	—
224	C₅×#125	—	2	1	no	—
225	C₅×#125	—	2	1	no	—
226	C₅×#124	—	2	1	no	—
227	C₅×#124	C₂³	1	1	yes	characteristic
228	C₅×#124	C₂³	1	1	yes	characteristic
229	C₅×#123	—	2	1	no	—
230	C₅×#123	—	2	1	no	—
231	C₄×C₅×Q₈	—	2	1	no	—
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×Q₈	C₂³	1	1	yes	characteristic
237	C₄×C₅×D₄	—	2	1	no	—
238	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
239	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
240	#4093	C₂³	1	1	yes	characteristic
241	#4093	C₂³	1	1	yes	characteristic
242	#4093	C₂³	1	1	yes	characteristic
243	#4092	—	2	1	no	—
244	#4092	—	2	1	no	—
245	#4092	D₄	1	1	yes	characteristic
246	Q₈×Dic₅	C₂³	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	#4090	D₄	1	1	yes	characteristic
251	#4090	C₂³	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×#689	C₂³	1	1	yes	characteristic
263	C₂×#689	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	#4085	—	2	1	no	—
270	#4085	—	2	1	no	—
271	#4083	—	2	1	no	—
272	#4083	—	2	1	no	—
273	#4082	—	2	1	no	—
274	#4082	C₂³	1	1	yes	characteristic
275	#4082	C₂³	1	1	yes	characteristic
276	#4082	C₂³	1	1	yes	characteristic
277	#4081	—	2	1	no	—
278	#4081	—	2	1	no	—
279	D₄×Dic₅	—	2	1	no	—
280	D₄×Dic₅	C₂³	1	1	yes	characteristic
281	D₄×Dic₅	C₂³	1	1	yes	characteristic
282	C₂×#687	C₂³	1	1	yes	characteristic
283	C₂×#687	C₂³	1	1	yes	characteristic
284	C₂×#687	C₂³	1	1	yes	characteristic
285	C₂×#687	C₂³	1	1	yes	characteristic
286	C₂×#686	C₂³	1	1	yes	characteristic
287	C₂×#686	C₂³	1	1	yes	characteristic
288	#4075	—	2	1	no	—
289	C₄×C₂²⋊D₅	—	2	1	no	—
290	C₄×C₂²⋊D₅	—	2	1	no	—
291	C₄×C₂²⋊D₅	—	2	1	no	—
292	C₂×#685	—	2	1	no	—
293	#4072	—	2	1	no	—
294	#4070	—	2	1	no	—
295	C₂×C₄×Dic₅	—	2	1	no	—
296	#4064	—	4	2	no	—
297	D₅×Q₁₆	—	2	4	no	—
298	D₅×Q₁₆	—	4	2	no	—
299	#4062	—	2	4	no	—
300	#4061	—	4	2	no	—
301	#4061	—	4	2	no	—
302	#4060	—	4	2	no	—
303	D₅×SD₁₆	—	2	4	no	—
304	D₅×SD₁₆	—	4	2	no	—
305	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
306	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
307	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
308	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
309	C₂×D₄₀	C₂³	1	1	yes	characteristic
310	C₂×#677	C₂³	1	1	yes	characteristic
311	C₂×#677	C₂³	1	1	yes	characteristic
312	C₂×#677	C₂³	1	1	yes	characteristic
313	C₂×#677	C₂³	1	1	yes	characteristic
314	C₂×#676	C₂³	1	1	yes	characteristic
315	C₂×#676	C₂³	1	1	yes	characteristic
316	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
317	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
318	#4044	—	2	1	no	—
319	#4044	—	2	1	no	—
320	#4044	—	2	1	no	—
321	#4044	—	2	1	no	—
322	#4044	—	2	1	no	—
323	#4044	—	2	1	no	—
324	#4044	—	2	1	no	—
325	#4044	—	2	1	no	—
326	#4044	—	2	1	no	—
327	#4043	—	2	1	no	—
328	#4043	D₄	1	1	yes	characteristic
329	#4042	—	2	1	no	—
330	#4042	—	2	1	no	—
331	#4042	—	2	1	no	—
332	#4042	—	2	1	no	—
333	#4042	—	2	1	no	—
334	#4042	—	2	1	no	—
335	#4042	—	2	1	no	—
336	#4042	D₄	1	1	yes	characteristic
337	#4042	D₄	1	1	yes	characteristic
338	#4040	—	2	1	no	—
339	#4040	—	2	1	no	—
340	#4040	—	2	1	no	—
341	#4040	—	2	1	no	—
342	#4039	—	2	1	no	—
343	#4039	C₂³	1	1	yes	characteristic
344	#4039	C₂³	1	1	yes	characteristic
345	#4038	—	2	1	no	—
346	#4038	—	2	1	no	—
347	#4038	—	2	1	no	—
348	#4038	—	2	1	no	—
349	#4038	—	2	1	no	—
350	#4038	—	2	1	no	—
351	#4038	—	2	1	no	—
352	#4038	C₂³	1	1	yes	characteristic
353	#4038	C₂³	1	1	yes	characteristic
354	D₅×C₄⋊C₄	—	2	1	no	—
355	D₅×C₄⋊C₄	—	2	1	no	—
356	#4036	—	2	1	no	—
357	#4036	—	2	1	no	—
358	#4035	—	2	1	no	—
359	#4035	—	2	1	no	—
360	#4035	—	2	1	no	—
361	#4035	—	2	1	no	—
362	#4035	—	2	1	no	—
363	#4035	—	2	1	no	—
364	#4035	D₄	1	1	yes	characteristic
365	#4035	D₄	1	1	yes	characteristic
366	#4034	—	2	1	no	—
367	#4034	—	2	1	no	—
368	#4034	D₄	1	1	yes	characteristic
369	#4033	—	2	1	no	—
370	#4033	—	2	1	no	—
371	#4033	—	2	1	no	—
372	#4033	—	2	1	no	—
373	#4033	—	2	1	no	—
374	#4033	C₂³	1	1	yes	characteristic
375	#4033	C₂³	1	1	yes	characteristic
376	#4033	C₂³	1	1	yes	characteristic
377	#4033	C₂³	1	1	yes	characteristic
378	#4032	—	2	1	no	—
379	#4031	—	2	1	no	—
380	#4031	—	2	1	no	—
381	#4031	—	2	1	no	—
382	#4031	—	2	1	no	—
383	#4029	—	2	1	no	—
384	#4029	—	2	1	no	—
385	#4029	—	2	1	no	—
386	#4029	—	2	1	no	—
387	#4027	—	2	1	no	—
388	#4027	—	2	1	no	—
389	#4027	—	2	1	no	—
390	D₅×C₂²⋊C₄	—	2	1	no	—
391	D₅×C₂²⋊C₄	—	2	1	no	—
392	D₅×C₂²⋊C₄	—	2	1	no	—
393	#4025	—	2	1	no	—
394	#4025	—	2	1	no	—
395	#4025	—	2	1	no	—
396	#4025	—	2	1	no	—
397	#4024	—	2	1	no	—
398	#4024	—	2	1	no	—
399	#4024	—	2	1	no	—
400	#4023	—	2	1	no	—
401	#4023	—	2	1	no	—
402	#4022	—	2	1	no	—
403	#4022	—	2	1	no	—
404	#4022	—	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	C₄×D₂₀	—	2	1	no	—
410	C₄×D₂₀	C₂³	1	1	yes	characteristic
411	C₄×D₂₀	C₂³	1	1	yes	characteristic
412	#4018	—	2	1	no	—
413	#4018	—	2	1	no	—
414	#4018	—	2	1	no	—
415	#4018	—	2	1	no	—
416	#4018	—	2	1	no	—
417	#4018	—	2	1	no	—
418	#4018	C₂³	1	1	yes	characteristic
419	#4018	C₂³	1	1	yes	characteristic
420	C₄²×D₅	—	2	1	no	—
421	C₄²×D₅	C₂³	1	1	yes	characteristic
422	#4016	—	2	1	no	—
423	#4015	C₂³	1	1	yes	characteristic
424	#4015	C₂³	1	1	yes	characteristic
425	C₄×Dic₁₀	—	2	1	no	—
426	C₄×Dic₁₀	—	2	1	no	—
427	C₄×Dic₁₀	—	2	1	no	—
428	C₄×Dic₁₀	—	2	1	no	—
429	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
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	C₅×#97	C₂³	1	1	yes	characteristic
447	C₅×#97	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	#3950	C₂³	1	1	yes	characteristic
458	#3948	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	#3942	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	#3940	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	#3509	—	5	1	no	—
490	#3402	—	5	1	no	—
491	#3402	—	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	#3400	—	5	1	no	—
501	#3400	D₅	1	1	yes	characteristic, complemented
502	#3398	—	5	1	no	—
503	#3398	—	5	1	no	—
504	#3398	—	5	1	no	—
505	#3398	—	5	1	no	—
506	#3156	—	5	1	no	—
507	#3154	—	5	1	no	—
508	C₂×#497	—	5	1	no	—
509	#3044	—	5	1	no	—
510	#3044	—	5	1	no	—
511	#3043	—	5	1	no	—
512	#3042	—	5	1	no	—
513	#3040	—	5	1	no	—
514	#3039	—	5	1	no	—
515	#2961	—	5	1	no	—
516	#2950	—	5	1	no	—
517	#2949	—	5	1	no	—
518	#2943	—	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	—	2	1	no	—
526	C₂×C₅×D₄	—	2	1	no	—
527	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
528	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₅	—	2	1	no	—
530	C₂²×C₄×C₅	—	2	1	no	—
531	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	Q₈×D₅	—	2	2	no	—
541	Q₈×D₅	—	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	C₂⁴	1	1	yes	characteristic
552	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
553	C₂×C₄×D₅	—	2	1	no	—
554	C₂×C₄×D₅	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
562	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
563	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
564	C₂×Dic₁₀	—	2	1	no	—
565	C₂×Dic₁₀	—	2	1	no	—
566	C₂×Dic₁₀	—	2	1	no	—
567	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
568	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
569	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
570	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
571	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
572	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
573	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
574	C₅×Q₁₆	—	2	2	no	—
575	C₅×Q₁₆	—	4	1	no	—
576	C₅×Q₁₆	—	4	1	no	—
577	C₅×SD₁₆	—	2	2	no	—
578	C₅×SD₁₆	—	2	2	no	—
579	C₅×SD₁₆	—	4	1	no	—
580	C₅×SD₁₆	—	4	1	no	—
581	C₅×SD₁₆	—	4	1	no	—
582	C₅×SD₁₆	—	4	1	no	—
583	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
584	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
585	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
586	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
587	C₅×C₄⋊C₄	—	2	1	no	—
588	C₅×C₄⋊C₄	—	2	1	no	—
589	C₅×C₄⋊C₄	—	2	1	no	—
590	C₅×C₄⋊C₄	—	2	1	no	—
591	C₅×C₄⋊C₄	—	2	1	no	—
592	C₅×C₄⋊C₄	—	2	1	no	—
593	C₅×C₄⋊C₄	—	2	1	no	—
594	C₅×C₄⋊C₄	—	2	1	no	—
595	C₅×C₄⋊C₄	—	2	1	no	—
596	C₅×C₄⋊C₄	—	2	1	no	—
597	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
598	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
599	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
600	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
601	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
602	C₅×C₂²⋊C₄	—	2	1	no	—
603	C₅×C₂²⋊C₄	—	2	1	no	—
604	C₅×C₂²⋊C₄	—	2	1	no	—
605	C₅×C₂²⋊C₄	—	2	1	no	—
606	C₅×C₂²⋊C₄	—	2	1	no	—
607	C₅×C₂²⋊C₄	—	2	1	no	—
608	C₄²×C₅	—	2	1	no	—
609	C₄²×C₅	—	2	1	no	—
610	C₄²×C₅	—	2	1	no	—
611	C₄²×C₅	—	2	1	no	—
612	C₄²×C₅	C₂⁴	1	1	yes	characteristic
613	C₄²×C₅	C₂⁴	1	1	yes	characteristic
614	C₄²×C₅	C₂⁴	1	1	yes	characteristic
615	C₂²⋊Dic₅	—	2	1	no	—
616	C₂²⋊Dic₅	—	2	1	no	—
617	C₂²⋊Dic₅	—	2	1	no	—
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	C₂²⋊Dic₅	—	2	1	no	—
623	#689	—	2	2	no	—
624	#689	—	2	2	no	—
625	#689	—	2	2	no	—
626	#689	—	4	1	no	—
627	#689	—	4	1	no	—
628	#689	—	4	1	no	—
629	#689	—	4	1	no	—
630	#689	—	4	1	no	—
631	#688	—	2	2	no	—
632	#688	—	4	1	no	—
633	#688	—	4	1	no	—
634	#688	—	4	1	no	—
635	#687	—	2	2	no	—
636	#687	—	4	1	no	—
637	#687	—	4	1	no	—
638	#687	—	4	1	no	—
639	#686	—	2	2	no	—
640	#686	—	4	1	no	—
641	#685	—	2	1	no	—
642	#685	—	2	1	no	—
643	#685	—	2	1	no	—
644	#685	—	2	1	no	—
645	#685	—	2	1	no	—
646	#685	—	2	1	no	—
647	#685	—	2	1	no	—
648	#685	—	2	1	no	—
649	#685	—	2	1	no	—
650	#685	—	2	1	no	—
651	#685	—	2	1	no	—
652	#685	—	2	1	no	—
653	#685	—	2	1	no	—
654	#685	—	2	1	no	—
655	#685	—	2	1	no	—
656	#685	—	2	1	no	—
657	#685	—	2	1	no	—
658	#685	—	2	1	no	—
659	#685	—	2	1	no	—
660	#685	—	2	1	no	—
661	#685	C₂×D₄	1	1	yes	characteristic
662	#685	C₂×D₄	1	1	yes	characteristic
663	#685	C₂×D₄	1	1	yes	characteristic
664	#685	C₂×D₄	1	1	yes	characteristic
665	C₄⋊Dic₅	—	2	1	no	—
666	C₄⋊Dic₅	—	2	1	no	—
667	C₄⋊Dic₅	—	2	1	no	—
668	C₄⋊Dic₅	—	2	1	no	—
669	C₄⋊Dic₅	—	2	1	no	—
670	C₄⋊Dic₅	—	2	1	no	—
671	C₄⋊Dic₅	—	2	1	no	—
672	C₄⋊Dic₅	—	2	1	no	—
673	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
674	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
675	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
676	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
677	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
678	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	—	2	1	no	—
684	#683	—	2	1	no	—
685	#683	—	2	1	no	—
686	#683	—	2	1	no	—
687	#683	—	2	1	no	—
688	#683	—	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	C₂×D₄	1	1	yes	characteristic
697	#683	C₂×D₄	1	1	yes	characteristic
698	#683	C₂×D₄	1	1	yes	characteristic
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	C₄×Dic₅	—	2	1	no	—
707	C₄×Dic₅	—	2	1	no	—
708	C₄×Dic₅	—	2	1	no	—
709	C₄×Dic₅	—	2	1	no	—
710	C₄×Dic₅	—	2	1	no	—
711	C₄×Dic₅	—	2	1	no	—
712	C₄×Dic₅	—	2	1	no	—
713	C₄×Dic₅	—	2	1	no	—
714	C₄×Dic₅	—	2	1	no	—
715	C₄×Dic₅	—	2	1	no	—
716	C₄×Dic₅	—	2	1	no	—
717	C₄×Dic₅	—	2	1	no	—
718	C₄×Dic₅	—	2	1	no	—
719	C₄×Dic₅	—	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	—	2	2	no	—
730	Dic₂₀	—	4	1	no	—
731	Dic₂₀	—	4	1	no	—
732	Dic₂₀	—	4	1	no	—
733	D₄₀	—	4	1	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	—	2	2	no	—
740	C₈×D₅	—	2	2	no	—
741	C₈×D₅	#41	1	4	yes	—
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×#135	—	5	1	no	—
747	C₂²×Q₁₆	—	5	1	no	—
748	C₂²×Q₁₆	—	5	1	no	—
749	C₂²×SD₁₆	—	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	C₂×D₅	1	1	yes	characteristic
755	#557	—	5	1	no	—
756	#557	—	5	1	no	—
757	#557	—	5	1	no	—
758	#557	C₂×D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
766	#556	—	5	1	no	—
767	#552	—	10	1	no	—
768	#552	—	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	#541	—	10	1	no	—
778	#541	—	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	#533	—	10	1	no	—
785	#533	—	10	1	no	—
786	C₂×C₄⋊Q₈	—	5	1	no	—
787	#529	—	10	1	no	—
788	#529	—	10	1	no	—
789	C₂×#124	—	5	1	no	—
790	#519	—	5	1	no	—
791	#519	—	5	1	no	—
792	#519	—	5	1	no	—
793	#518	—	5	1	no	—
794	C₄×#41	—	5	1	no	—
795	C₄×#41	—	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	#497	—	5	1	no	—
805	#497	—	5	1	no	—
806	#497	—	5	1	no	—
807	#497	—	5	1	no	—
808	#497	C₂×D₅	1	1	yes	characteristic
809	#497	C₂×D₅	1	1	yes	characteristic, complemented
810	#496	—	5	1	no	—
811	#496	—	5	1	no	—
812	#495	—	5	1	no	—
813	#495	—	5	1	no	—
814	#495	—	5	1	no	—
815	#495	—	5	1	no	—
816	#494	—	5	1	no	—
817	#494	—	5	1	no	—
818	#492	—	5	1	no	—
819	#492	C₂×D₅	1	1	yes	characteristic
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, complemented
836	#463	—	5	1	no	—
837	#463	—	5	1	no	—
838	#463	—	5	1	no	—
839	#463	—	5	1	no	—
840	#463	—	5	1	no	—
841	#463	—	5	1	no	—
842	#463	—	5	1	no	—
843	#463	—	5	1	no	—
844	#462	—	5	1	no	—
845	#462	—	5	1	no	—
846	#462	—	5	1	no	—
847	#462	—	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	#462	C₂×D₅	1	1	yes	characteristic, complemented
856	#461	—	5	1	no	—
857	#461	—	5	1	no	—
858	#461	—	5	1	no	—
859	#461	—	5	1	no	—
860	#461	—	5	1	no	—
861	#461	—	5	1	no	—
862	#461	C₂×D₅	1	1	yes	characteristic
863	#461	C₂×D₅	1	1	yes	characteristic, complemented
864	#460	—	5	1	no	—
865	#460	—	5	1	no	—
866	#460	—	5	1	no	—
867	#460	C₂×D₅	1	1	yes	characteristic
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	#446	—	5	1	no	—
875	#446	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	#441	—	5	1	no	—
883	#441	—	5	1	no	—
884	#440	—	5	1	no	—
885	#440	—	5	1	no	—
886	#440	—	5	1	no	—
887	#440	—	5	1	no	—
888	#440	—	5	1	no	—
889	#440	—	5	1	no	—
890	#440	C₂×D₅	1	1	yes	characteristic
891	#440	C₂×D₅	1	1	yes	characteristic, complemented
892	C₄×Q₁₆	—	5	1	no	—
893	C₄×Q₁₆	—	5	1	no	—
894	C₄×Q₁₆	—	5	1	no	—
895	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic, complemented
896	C₄×SD₁₆	—	5	1	no	—
897	C₄×SD₁₆	—	5	1	no	—
898	C₄×SD₁₆	—	5	1	no	—
899	C₄×SD₁₆	—	5	1	no	—
900	#427	—	5	1	no	—
901	#424	—	5	1	no	—
902	#424	—	5	1	no	—
903	#423	—	5	1	no	—
904	#419	—	5	1	no	—
905	#419	—	5	1	no	—
906	#419	—	5	1	no	—
907	#418	—	5	1	no	—
908	#416	—	5	1	no	—
909	#416	—	5	1	no	—
910	#405	—	5	1	no	—
911	#405	—	5	1	no	—
912	C₂×#97	—	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	—	4	2	no	—
918	C₂²×D₅	—	8	1	no	—
919	C₂²×D₅	—	8	1	no	—
920	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
921	C₅×Q₈	—	2	1	no	—
922	C₅×Q₈	—	2	1	no	—
923	C₅×Q₈	—	2	1	no	—
924	C₅×Q₈	—	2	1	no	—
925	C₅×Q₈	—	2	1	no	—
926	C₅×Q₈	—	2	1	no	—
927	C₅×Q₈	—	2	1	no	—
928	C₅×Q₈	—	2	1	no	—
929	C₅×Q₈	—	4	1	no	—
930	C₅×D₄	—	2	1	no	—
931	C₅×D₄	—	2	1	no	—
932	C₅×D₄	—	2	1	no	—
933	C₅×D₄	—	2	1	no	—
934	C₅×D₄	—	8	1	no	—
935	C₅×D₄	—	8	1	no	—
936	C₂×C₄×C₅	—	2	1	no	—
937	C₂×C₄×C₅	—	2	1	no	—
938	C₂×C₄×C₅	—	2	1	no	—
939	C₂×C₄×C₅	—	2	1	no	—
940	C₂×C₄×C₅	—	2	1	no	—
941	C₂×C₄×C₅	—	2	1	no	—
942	C₂×C₄×C₅	—	8	1	no	—
943	C₂×C₄×C₅	—	8	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
950	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
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	C₂×Dic₅	—	2	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	—	4	2	no	—
976	C₄×D₅	—	4	1	no	—
977	C₄×D₅	—	4	1	no	—
978	C₄×D₅	—	4	2	no	—
979	C₄×D₅	—	4	2	no	—
980	C₄×D₅	—	4	2	no	—
981	C₄×D₅	—	4	2	no	—
982	C₄×D₅	—	4	2	no	—
983	C₄×D₅	—	4	2	no	—
984	C₄×D₅	—	8	1	no	—
985	C₄×D₅	—	8	1	no	—
986	C₄×D₅	C₂×#41	1	2	yes	—
987	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
988	Dic₁₀	—	2	1	no	—
989	Dic₁₀	—	2	1	no	—
990	Dic₁₀	—	2	1	no	—
991	Dic₁₀	—	2	1	no	—
992	Dic₁₀	—	2	1	no	—
993	Dic₁₀	—	2	1	no	—
994	Dic₁₀	—	2	1	no	—
995	Dic₁₀	—	2	1	no	—
996	Dic₁₀	—	4	1	no	—
997	Dic₁₀	—	4	1	no	—
998	Dic₁₀	—	4	1	no	—
999	Dic₁₀	—	4	2	no	—
1000	Dic₁₀	—	4	2	no	—
1001	Dic₁₀	—	4	2	no	—
1002	C₅×C₈	—	2	1	no	—
1003	C₅×C₈	—	2	1	no	—
1004	C₅×C₈	—	2	1	no	—
1005	C₅×C₈	C₂×#41	1	2	yes	—
1006	#168	—	2	1	no	—
1007	#168	—	2	1	no	—
1008	#168	—	2	1	no	—
1009	#168	C₂×#41	1	2	yes	—
1010	C₂×#41	—	5	1	no	—
1011	C₂×#41	—	5	1	no	—
1012	C₂²×Q₈	—	5	1	no	—
1013	C₂²×Q₈	—	5	1	no	—
1014	C₂²×Q₈	—	5	1	no	—
1015	C₂²×D₄	—	5	1	no	—
1016	#137	—	20	2	no	—
1017	#137	—	20	2	no	—
1018	#137	—	20	2	no	—
1019	AGL(1,ℤ/8)	—	20	2	no	—
1020	#135	—	10	4	no	—
1021	C₂×Q₁₆	—	5	1	no	—
1022	C₂×Q₁₆	—	5	1	no	—
1023	C₂×Q₁₆	—	5	1	no	—
1024	C₂×Q₁₆	—	5	1	no	—
1025	C₂×Q₁₆	—	5	1	no	—
1026	C₂×Q₁₆	—	5	1	no	—
1027	C₂×Q₁₆	—	5	1	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	—	10	4	no	—
1034	C₂×Q₁₆	—	20	2	no	—
1035	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1036	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1037	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1038	C₂×SD₁₆	—	5	1	no	—
1039	C₂×SD₁₆	—	5	1	no	—
1040	C₂×SD₁₆	—	5	1	no	—
1041	C₂×SD₁₆	—	5	1	no	—
1042	C₂×SD₁₆	—	5	1	no	—
1043	C₂×SD₁₆	—	5	1	no	—
1044	C₂×SD₁₆	—	5	1	no	—
1045	C₂×SD₁₆	—	5	1	no	—
1046	C₂×SD₁₆	—	5	1	no	—
1047	C₂×SD₁₆	—	5	1	no	—
1048	C₂×SD₁₆	—	5	1	no	—
1049	C₂×SD₁₆	—	5	1	no	—
1050	C₂×SD₁₆	—	10	4	no	—
1051	C₂×SD₁₆	—	20	2	no	—
1052	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1053	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1054	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1055	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1056	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1057	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1058	C₂×D₈	—	5	1	no	—
1059	C₂×D₈	—	5	1	no	—
1060	C₂×D₈	—	5	1	no	—
1061	C₂×M₁₆	—	5	1	no	—
1062	C₂×M₁₆	—	5	1	no	—
1063	C₂²×C₈	—	5	1	no	—
1064	C₂²×C₈	—	5	1	no	—
1065	C₄⋊Q₈	—	5	1	no	—
1066	C₄⋊Q₈	—	5	1	no	—
1067	C₄⋊Q₈	—	5	1	no	—
1068	C₄⋊Q₈	—	5	1	no	—
1069	C₄⋊Q₈	—	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	—	10	1	no	—
1075	C₄⋊Q₈	—	10	1	no	—
1076	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
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	C₂²×D₅	1	1	yes	characteristic
1081	#126	—	10	1	no	—
1082	#126	—	10	1	no	—
1083	#126	—	10	1	no	—
1084	#126	—	10	1	no	—
1085	#126	—	10	1	no	—
1086	#126	—	10	1	no	—
1087	#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	#125	—	2	1	no	—
1098	#125	—	2	1	no	—
1099	#125	—	2	1	no	—
1100	#125	—	5	1	no	—
1101	#125	—	5	1	no	—
1102	#125	—	10	1	no	—
1103	#125	—	10	1	no	—
1104	#125	—	10	1	no	—
1105	#125	—	10	1	no	—
1106	#125	—	10	1	no	—
1107	#125	—	10	1	no	—
1108	#125	—	10	1	no	—
1109	#125	—	10	1	no	—
1110	#125	—	10	1	no	—
1111	#124	—	2	1	no	—
1112	#124	—	5	1	no	—
1113	#124	—	5	1	no	—
1114	#124	—	5	1	no	—
1115	#124	—	5	1	no	—
1116	#124	—	5	1	no	—
1117	#124	—	5	1	no	—
1118	#124	—	5	1	no	—
1119	#124	—	5	1	no	—
1120	#124	—	5	1	no	—
1121	#124	—	5	1	no	—
1122	#124	—	10	1	no	—
1123	#124	—	10	1	no	—
1124	#124	—	10	1	no	—
1125	#124	—	10	1	no	—
1126	#124	—	10	1	no	—
1127	#124	C₂²×D₅	1	1	yes	characteristic
1128	#124	C₂²×D₅	1	1	yes	characteristic
1129	#123	—	2	1	no	—
1130	#123	—	2	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	C₂²⋊Q₈	—	5	1	no	—
1144	C₂²⋊Q₈	—	5	1	no	—
1145	C₂²⋊Q₈	—	5	1	no	—
1146	C₂²⋊Q₈	—	5	1	no	—
1147	C₂²⋊Q₈	—	10	1	no	—
1148	C₂²⋊Q₈	—	10	1	no	—
1149	C₂²⋊Q₈	—	10	1	no	—
1150	C₂²⋊Q₈	—	10	1	no	—
1151	C₂²⋊Q₈	—	10	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	#121	—	10	1	no	—
1162	#121	—	10	1	no	—
1163	#120	—	10	1	no	—
1164	#120	—	10	1	no	—
1165	C₄×Q₈	—	2	1	no	—
1166	C₄×Q₈	—	5	1	no	—
1167	C₄×Q₈	—	5	1	no	—
1168	C₄×Q₈	—	5	1	no	—
1169	C₄×Q₈	—	5	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	—	10	1	no	—
1182	C₄×Q₈	—	10	1	no	—
1183	C₄×Q₈	—	10	1	no	—
1184	C₄×Q₈	—	10	1	no	—
1185	C₄×Q₈	—	10	1	no	—
1186	C₄×Q₈	—	10	1	no	—
1187	C₄×Q₈	—	10	1	no	—
1188	C₄×Q₈	—	10	1	no	—
1189	C₄×Q₈	—	10	1	no	—
1190	C₄×Q₈	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×Q₈	C₂²×D₅	1	1	yes	characteristic
1195	C₄×D₄	—	2	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	C₂²×D₅	1	1	yes	characteristic
1212	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1213	#117	—	5	1	no	—
1214	#117	—	5	1	no	—
1215	#117	—	5	1	no	—
1216	#117	—	5	1	no	—
1217	#117	—	10	1	no	—
1218	#117	—	10	1	no	—
1219	#117	—	10	1	no	—
1220	#117	—	10	1	no	—
1221	#117	—	10	1	no	—
1222	#117	—	10	1	no	—
1223	#117	—	10	1	no	—
1224	#117	—	10	1	no	—
1225	#117	—	10	1	no	—
1226	#117	—	10	1	no	—
1227	#117	—	10	1	no	—
1228	#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	C₂×C₄⋊C₄	—	10	1	no	—
1234	C₂×C₄⋊C₄	—	10	1	no	—
1235	C₂×C₂²⋊C₄	—	10	1	no	—
1236	C₂×C₂²⋊C₄	—	10	1	no	—
1237	C₂×C₂²⋊C₄	—	10	1	no	—
1238	C₂×C₂²⋊C₄	—	10	1	no	—
1239	C₂×C₄²	—	5	1	no	—
1240	C₂×C₄²	—	10	1	no	—
1241	C₂×C₄²	—	10	1	no	—
1242	#107	—	5	1	no	—
1243	#107	C₂²×D₅	1	1	yes	characteristic
1244	#106	—	5	1	no	—
1245	#106	—	5	1	no	—
1246	C₄⋊C₈	—	5	1	no	—
1247	C₄⋊C₈	—	5	1	no	—
1248	C₄⋊C₈	—	5	1	no	—
1249	C₄⋊C₈	—	5	1	no	—
1250	C₄⋊C₈	—	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	C₂²×D₅	1	1	yes	characteristic
1256	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1257	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1258	#103	—	5	1	no	—
1259	#103	—	5	1	no	—
1260	#103	—	5	1	no	—
1261	#103	—	5	1	no	—
1262	#103	—	5	1	no	—
1263	#103	—	5	1	no	—
1264	#103	—	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	C₂²×D₅	1	1	yes	characteristic
1271	#103	C₂²×D₅	1	1	yes	characteristic
1272	#103	C₂²×D₅	1	1	yes	characteristic
1273	#103	C₂²×D₅	1	1	yes	characteristic
1274	#102	—	5	1	no	—
1275	#102	—	5	1	no	—
1276	#102	—	5	1	no	—
1277	#102	—	5	1	no	—
1278	#102	—	5	1	no	—
1279	#102	—	5	1	no	—
1280	#102	C₂²×D₅	1	1	yes	characteristic
1281	#102	C₂²×D₅	1	1	yes	characteristic
1282	#97	—	5	1	no	—
1283	#97	—	5	1	no	—
1284	#97	—	5	1	no	—
1285	#97	—	5	1	no	—
1286	#97	—	5	1	no	—
1287	#97	—	5	1	no	—
1288	#97	C₂²×D₅	1	1	yes	characteristic
1289	#97	C₂²×D₅	1	1	yes	characteristic
1290	C₄×C₈	—	5	1	no	—
1291	C₄×C₈	—	5	1	no	—
1292	C₄×C₈	—	5	1	no	—
1293	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1294	C₂²×C₅	—	4	1	no	—
1295	C₂²×C₅	—	4	1	no	—
1296	C₂²×C₅	—	4	1	no	—
1297	C₂²×C₅	—	4	1	no	—
1298	C₂²×C₅	—	4	1	no	—
1299	C₂²×C₅	—	4	1	no	—
1300	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1301	C₂×D₅	—	2	1	no	—
1302	C₂×D₅	—	2	1	no	—
1303	C₂×D₅	—	4	1	no	—
1304	C₂×D₅	—	4	1	no	—
1305	C₂×D₅	—	4	1	no	—
1306	C₂×D₅	—	4	1	no	—
1307	C₂×D₅	—	4	1	no	—
1308	C₂×D₅	—	4	1	no	—
1309	C₂×D₅	—	16	2	no	—
1310	C₂×D₅	#550	1	2	yes	—
1311	C₄×C₅	—	2	1	no	—
1312	C₄×C₅	—	2	1	no	—
1313	C₄×C₅	—	2	1	no	—
1314	C₄×C₅	—	2	1	no	—
1315	C₄×C₅	—	2	1	no	—
1316	C₄×C₅	—	2	1	no	—
1317	C₄×C₅	—	4	1	no	—
1318	C₄×C₅	—	4	1	no	—
1319	C₄×C₅	—	4	1	no	—
1320	C₄×C₅	—	4	1	no	—
1321	C₄×C₅	—	4	1	no	—
1322	C₄×C₅	—	4	1	no	—
1323	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1324	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1325	Dic₅	—	2	1	no	—
1326	Dic₅	—	2	1	no	—
1327	Dic₅	—	2	1	no	—
1328	Dic₅	—	2	1	no	—
1329	Dic₅	—	2	1	no	—
1330	Dic₅	—	2	1	no	—
1331	Dic₅	—	4	1	no	—
1332	Dic₅	—	4	1	no	—
1333	Dic₅	—	4	1	no	—
1334	Dic₅	—	4	1	no	—
1335	Dic₅	—	4	1	no	—
1336	Dic₅	—	4	1	no	—
1337	Dic₅	#550	1	2	yes	—
1338	C₂⁴	—	10	1	no	—
1339	#41	—	10	2	no	—
1340	#41	—	10	2	no	—
1341	#41	—	10	2	no	—
1342	#41	—	10	2	no	—
1343	C₂×Q₈	—	5	1	no	—
1344	C₂×Q₈	—	5	1	no	—
1345	C₂×Q₈	—	5	1	no	—
1346	C₂×Q₈	—	5	1	no	—
1347	C₂×Q₈	—	5	1	no	—
1348	C₂×Q₈	—	5	1	no	—
1349	C₂×Q₈	—	5	1	no	—
1350	C₂×Q₈	—	10	1	no	—
1351	C₂×Q₈	—	10	1	no	—
1352	C₂×Q₈	—	10	1	no	—
1353	C₂×Q₈	—	10	2	no	—
1354	C₂×Q₈	—	10	2	no	—
1355	C₂×Q₈	—	10	2	no	—
1356	C₂×Q₈	—	10	2	no	—
1357	C₂×Q₈	—	10	2	no	—
1358	C₂×Q₈	—	10	2	no	—
1359	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1360	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1361	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1362	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1363	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1364	C₂×D₄	—	2	1	no	—
1365	C₂×D₄	—	2	1	no	—
1366	C₂×D₄	—	5	1	no	—
1367	C₂×D₄	—	5	1	no	—
1368	C₂×D₄	—	10	1	no	—
1369	C₂×D₄	—	10	2	no	—
1370	C₂×D₄	—	10	2	no	—
1371	C₂×D₄	—	10	1	no	—
1372	C₂×D₄	—	10	1	no	—
1373	C₂×D₄	—	10	1	no	—
1374	C₂×D₄	—	10	1	no	—
1375	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1376	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1377	C₂²×C₄	—	2	1	no	—
1378	C₂²×C₄	—	2	1	no	—
1379	C₂²×C₄	—	5	1	no	—
1380	C₂²×C₄	—	5	1	no	—
1381	C₂²×C₄	—	5	1	no	—
1382	C₂²×C₄	—	10	1	no	—
1383	C₂²×C₄	—	10	1	no	—
1384	C₂²×C₄	—	10	1	no	—
1385	C₂²×C₄	—	10	1	no	—
1386	C₂²×C₄	—	10	1	no	—
1387	C₂²×C₄	—	10	1	no	—
1388	C₂²×C₄	—	10	1	no	—
1389	C₂²×C₄	—	10	1	no	—
1390	C₂²×C₄	—	10	1	no	—
1391	C₂²×C₄	—	10	1	no	—
1392	C₂²×C₄	—	10	1	no	—
1393	Q₁₆	—	2	2	no	—
1394	Q₁₆	—	4	1	no	—
1395	Q₁₆	—	4	1	no	—
1396	Q₁₆	—	10	2	no	—
1397	Q₁₆	—	10	2	no	—
1398	Q₁₆	—	10	2	no	—
1399	Q₁₆	—	10	2	no	—
1400	Q₁₆	—	20	1	no	—
1401	Q₁₆	—	20	1	no	—
1402	Q₁₆	—	20	1	no	—
1403	Q₁₆	—	20	1	no	—
1404	Q₁₆	—	20	1	no	—
1405	Q₁₆	—	20	1	no	—
1406	Q₁₆	—	20	1	no	—
1407	Q₁₆	—	20	1	no	—
1408	SD₁₆	—	2	2	no	—
1409	SD₁₆	—	2	2	no	—
1410	SD₁₆	—	4	1	no	—
1411	SD₁₆	—	4	1	no	—
1412	SD₁₆	—	4	1	no	—
1413	SD₁₆	—	4	1	no	—
1414	SD₁₆	—	10	2	no	—
1415	SD₁₆	—	10	2	no	—
1416	SD₁₆	—	10	2	no	—
1417	SD₁₆	—	10	2	no	—
1418	SD₁₆	—	20	1	no	—
1419	SD₁₆	—	20	1	no	—
1420	SD₁₆	—	20	1	no	—
1421	SD₁₆	—	20	1	no	—
1422	SD₁₆	—	20	1	no	—
1423	SD₁₆	—	20	1	no	—
1424	SD₁₆	—	20	1	no	—
1425	SD₁₆	—	20	1	no	—
1426	D₈	—	10	2	no	—
1427	D₈	—	20	1	no	—
1428	D₈	—	20	1	no	—
1429	M₁₆	—	10	2	no	—
1430	M₁₆	—	10	2	no	—
1431	C₂×C₈	—	5	1	no	—
1432	C₂×C₈	—	5	4	no	—
1433	C₂×C₈	—	5	1	no	—
1434	C₂×C₈	—	5	1	no	—
1435	C₂×C₈	—	5	1	no	—
1436	C₂×C₈	—	10	2	no	—
1437	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1438	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1439	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1440	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	5	1	no	—
1452	C₄⋊C₄	—	5	1	no	—
1453	C₄⋊C₄	—	5	1	no	—
1454	C₄⋊C₄	—	5	1	no	—
1455	C₄⋊C₄	—	5	1	no	—
1456	C₄⋊C₄	—	5	1	no	—
1457	C₄⋊C₄	—	5	1	no	—
1458	C₄⋊C₄	—	5	1	no	—
1459	C₄⋊C₄	—	5	1	no	—
1460	C₄⋊C₄	—	5	1	no	—
1461	C₄⋊C₄	—	5	1	no	—
1462	C₄⋊C₄	—	5	1	no	—
1463	C₄⋊C₄	—	5	1	no	—
1464	C₄⋊C₄	—	5	1	no	—
1465	C₄⋊C₄	—	5	1	no	—
1466	C₄⋊C₄	—	10	1	no	—
1467	C₄⋊C₄	—	10	1	no	—
1468	C₄⋊C₄	—	10	1	no	—
1469	C₄⋊C₄	—	10	1	no	—
1470	C₄⋊C₄	—	10	1	no	—
1471	C₄⋊C₄	—	10	1	no	—
1472	C₄⋊C₄	—	10	1	no	—
1473	C₄⋊C₄	—	10	1	no	—
1474	C₄⋊C₄	—	10	1	no	—
1475	C₄⋊C₄	—	10	1	no	—
1476	C₄⋊C₄	—	10	1	no	—
1477	C₄⋊C₄	—	10	1	no	—
1478	C₄⋊C₄	—	10	1	no	—
1479	C₄⋊C₄	—	10	1	no	—
1480	C₄⋊C₄	—	10	1	no	—
1481	C₄⋊C₄	—	10	1	no	—
1482	C₄⋊C₄	—	10	1	no	—
1483	C₄⋊C₄	—	10	1	no	—
1484	C₄⋊C₄	—	10	1	no	—
1485	C₄⋊C₄	—	10	1	no	—
1486	C₄⋊C₄	—	10	1	no	—
1487	C₄⋊C₄	—	10	1	no	—
1488	C₄⋊C₄	—	10	1	no	—
1489	C₄⋊C₄	—	10	1	no	—
1490	C₄⋊C₄	—	10	1	no	—
1491	C₄⋊C₄	—	10	1	no	—
1492	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1493	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1494	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1495	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1496	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	5	1	no	—
1504	C₂²⋊C₄	—	5	1	no	—
1505	C₂²⋊C₄	—	5	1	no	—
1506	C₂²⋊C₄	—	5	1	no	—
1507	C₂²⋊C₄	—	10	1	no	—
1508	C₂²⋊C₄	—	10	1	no	—
1509	C₂²⋊C₄	—	10	1	no	—
1510	C₂²⋊C₄	—	10	1	no	—
1511	C₂²⋊C₄	—	10	1	no	—
1512	C₂²⋊C₄	—	10	1	no	—
1513	C₂²⋊C₄	—	10	1	no	—
1514	C₂²⋊C₄	—	10	1	no	—
1515	C₂²⋊C₄	—	10	1	no	—
1516	C₂²⋊C₄	—	10	1	no	—
1517	C₂²⋊C₄	—	10	1	no	—
1518	C₂²⋊C₄	—	10	1	no	—
1519	C₂²⋊C₄	—	10	1	no	—
1520	C₂²⋊C₄	—	10	1	no	—
1521	C₂²⋊C₄	—	10	1	no	—
1522	C₂²⋊C₄	—	10	1	no	—
1523	C₂²⋊C₄	—	10	1	no	—
1524	C₂²⋊C₄	—	10	1	no	—
1525	C₂²⋊C₄	—	10	1	no	—
1526	C₂²⋊C₄	—	10	1	no	—
1527	C₂²⋊C₄	—	10	1	no	—
1528	C₂²⋊C₄	—	10	1	no	—
1529	C₂²⋊C₄	—	10	1	no	—
1530	C₂²⋊C₄	—	10	1	no	—
1531	C₂²⋊C₄	—	10	1	no	—
1532	C₂²⋊C₄	—	10	1	no	—
1533	C₂²⋊C₄	—	10	1	no	—
1534	C₂²⋊C₄	—	10	1	no	—
1535	C₄²	—	2	1	no	—
1536	C₄²	—	2	1	no	—
1537	C₄²	—	2	1	no	—
1538	C₄²	—	2	1	no	—
1539	C₄²	—	5	1	no	—
1540	C₄²	—	5	1	no	—
1541	C₄²	—	5	1	no	—
1542	C₄²	—	5	1	no	—
1543	C₄²	—	5	1	no	—
1544	C₄²	—	10	1	no	—
1545	C₄²	—	10	1	no	—
1546	C₄²	—	10	1	no	—
1547	C₄²	—	10	1	no	—
1548	C₄²	—	10	1	no	—
1549	C₄²	—	10	1	no	—
1550	C₄²	—	10	1	no	—
1551	C₄²	—	10	1	no	—
1552	C₄²	—	10	1	no	—
1553	C₄²	—	10	1	no	—
1554	C₄²	—	10	1	no	—
1555	C₄²	—	10	1	no	—
1556	C₄²	—	10	1	no	—
1557	C₄²	—	10	1	no	—
1558	C₄²	C₂³×D₅	1	1	yes	characteristic
1559	C₄²	C₂³×D₅	1	1	yes	characteristic
1560	C₄²	C₂³×D₅	1	1	yes	characteristic
1561	C₂×C₅	—	8	1	no	—
1562	C₂×C₅	—	8	1	no	—
1563	C₂×C₅	C₂×#550	1	1	yes	characteristic
1564	C₂×C₅	#3586	1	1	yes	characteristic
1565	C₂×C₅	#3586	1	1	yes	characteristic
1566	D₅	—	2	2	no	—
1567	D₅	—	8	1	no	—
1568	D₅	—	8	1	no	—
1569	C₂³	—	2	1	no	—
1570	C₂³	—	2	1	no	—
1571	C₂³	—	5	1	no	—
1572	C₂³	—	10	1	no	—
1573	C₂³	—	10	1	no	—
1574	C₂³	—	20	2	no	—
1575	C₂³	—	40	1	no	—
1576	C₂³	—	40	1	no	—
1577	Q₈	—	2	1	no	—
1578	Q₈	—	2	1	no	—
1579	Q₈	—	2	1	no	—
1580	Q₈	—	2	1	no	—
1581	Q₈	—	2	1	no	—
1582	Q₈	—	2	1	no	—
1583	Q₈	—	2	1	no	—
1584	Q₈	—	2	1	no	—
1585	Q₈	—	4	1	no	—
1586	Q₈	—	10	1	no	—
1587	Q₈	—	10	1	no	—
1588	Q₈	—	10	1	no	—
1589	Q₈	—	10	1	no	—
1590	Q₈	—	10	1	no	—
1591	Q₈	—	10	1	no	—
1592	Q₈	—	10	1	no	—
1593	Q₈	—	10	1	no	—
1594	Q₈	—	20	1	no	—
1595	Q₈	—	20	1	no	—
1596	Q₈	—	20	1	no	—
1597	Q₈	—	20	2	no	—
1598	Q₈	—	20	2	no	—
1599	Q₈	—	20	2	no	—
1600	D₄	—	2	1	no	—
1601	D₄	—	2	1	no	—
1602	D₄	—	2	1	no	—
1603	D₄	—	2	1	no	—
1604	D₄	—	8	1	no	—
1605	D₄	—	8	1	no	—
1606	D₄	—	10	1	no	—
1607	D₄	—	10	1	no	—
1608	D₄	—	10	1	no	—
1609	D₄	—	10	1	no	—
1610	D₄	—	20	2	no	—
1611	D₄	—	20	2	no	—
1612	D₄	—	20	2	no	—
1613	D₄	—	40	1	no	—
1614	D₄	—	40	1	no	—
1615	C₂×C₄	—	2	1	no	—
1616	C₂×C₄	—	2	1	no	—
1617	C₂×C₄	—	2	1	no	—
1618	C₂×C₄	—	2	1	no	—
1619	C₂×C₄	—	2	1	no	—
1620	C₂×C₄	—	2	1	no	—
1621	C₂×C₄	—	5	1	no	—
1622	C₂×C₄	—	5	2	no	—
1623	C₂×C₄	—	5	2	no	—
1624	C₂×C₄	—	5	1	no	—
1625	C₂×C₄	—	5	1	no	—
1626	C₂×C₄	—	5	1	no	—
1627	C₂×C₄	—	5	1	no	—
1628	C₂×C₄	—	5	1	no	—
1629	C₂×C₄	—	5	1	no	—
1630	C₂×C₄	—	8	1	no	—
1631	C₂×C₄	—	8	1	no	—
1632	C₂×C₄	—	10	1	no	—
1633	C₂×C₄	—	10	1	no	—
1634	C₂×C₄	—	10	1	no	—
1635	C₂×C₄	—	10	1	no	—
1636	C₂×C₄	—	10	1	no	—
1637	C₂×C₄	—	10	1	no	—
1638	C₂×C₄	—	20	1	no	—
1639	C₂×C₄	—	20	1	no	—
1640	C₂×C₄	—	20	2	no	—
1641	C₂×C₄	—	20	2	no	—
1642	C₂×C₄	—	20	2	no	—
1643	C₂×C₄	—	20	2	no	—
1644	C₂×C₄	—	20	2	no	—
1645	C₂×C₄	—	20	2	no	—
1646	C₂×C₄	—	20	2	no	—
1647	C₂×C₄	—	40	1	no	—
1648	C₂×C₄	—	40	1	no	—
1649	C₂×C₄	—	40	1	no	—
1650	C₂×C₄	—	40	1	no	—
1651	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1652	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1653	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1654	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1655	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1656	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1657	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1658	C₈	—	2	1	no	—
1659	C₈	—	2	1	no	—
1660	C₈	—	2	1	no	—
1661	C₈	—	5	2	no	—
1662	C₈	—	10	1	no	—
1663	C₈	—	10	1	no	—
1664	C₈	—	10	1	no	—
1665	C₈	D₅×#41	1	2	yes	—
1666	C₅	#61418	1	1	yes	characteristic, complemented, Sylow
1667	C₂²	—	4	1	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	4	1	no	—
1672	C₂²	—	4	1	no	—
1673	C₂²	—	5	2	no	—
1674	C₂²	—	10	1	no	—
1675	C₂²	—	10	1	no	—
1676	C₂²	—	20	1	no	—
1677	C₂²	—	20	1	no	—
1678	C₂²	—	20	1	no	—
1679	C₂²	—	20	1	no	—
1680	C₂²	—	20	1	no	—
1681	C₂²	—	20	1	no	—
1682	C₂²	—	80	2	no	—
1683	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1684	C₄	—	2	1	no	—
1685	C₄	—	2	1	no	—
1686	C₄	—	2	1	no	—
1687	C₄	—	2	1	no	—
1688	C₄	—	2	1	no	—
1689	C₄	—	2	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	4	1	no	—
1696	C₄	—	5	2	no	—
1697	C₄	—	10	1	no	—
1698	C₄	—	10	1	no	—
1699	C₄	—	10	1	no	—
1700	C₄	—	10	1	no	—
1701	C₄	—	10	1	no	—
1702	C₄	—	10	1	no	—
1703	C₄	—	20	1	no	—
1704	C₄	—	20	1	no	—
1705	C₄	—	20	1	no	—
1706	C₄	—	20	1	no	—
1707	C₄	—	20	1	no	—
1708	C₄	—	20	1	no	—
1709	C₄	C₂×D₅×#41	1	1	yes	characteristic
1710	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1711	C₂	—	8	1	no	—
1712	C₂	—	8	1	no	—
1713	C₂	—	10	2	no	—
1714	C₂	—	40	1	no	—
1715	C₂	—	40	1	no	—
1716	C₂	D₅×#550	1	1	yes	characteristic
1717	C₂	#10619098	1	1	yes	characteristic
1718	C₂	#10619109	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×#3400	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10613494	C₂
hypercenter	#3400	D₅
hypocenter	C₅	#61418
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3400

Complements

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

N	H ≅ G/N	type
1. #10618953	C₂	semidirect
2. #10618921	C₂	semidirect
3. C₅×#3400	C₂	semidirect
4. #10615443	C₂	semidirect
5. #10615417	C₂	semidirect
6. #10613604	C₂	semidirect
7. D₅×#497	C₂	semidirect
8. #10613598	C₂	semidirect
9. #10613596	C₂	semidirect
11. #10613489	C₂	semidirect
12. #10612332	C₂	semidirect
13. #10612330	C₂	semidirect
14. #10612323	C₂	semidirect
15. #10612321	C₂	semidirect
16. #10612209	C₂	semidirect
17. #10612200	C₂	semidirect
18. #10612161	C₂	semidirect
19. #10612160	C₂	semidirect
20. #10612155	C₂	semidirect
21. #10612153	C₂	semidirect
22. #10612116	C₂	semidirect
23. #10612108	C₂	semidirect
24. #10611690	C₂	semidirect
25. #10611686	C₂	semidirect
26. #10611508	C₂	semidirect
27. #10611503	C₂	semidirect
28. #10611496	C₂	semidirect
29. #10611495	C₂	semidirect
30. #10611451	C₂	semidirect
31. #10611445	C₂	semidirect
33. C₅×#557	C₂²	semidirect
43. #66066	C₂²	semidirect
47. #66055	C₂²	semidirect
48. #66055	C₂²	semidirect
68. #65918	C₂²	semidirect
77. #65902	C₂²	semidirect
78. #65902	C₂²	semidirect
79. #65901	C₂²	semidirect
87. C₅×#497	C₂²	semidirect
90. C₅×#464	C₂²	semidirect
91. C₅×#462	C₂²	semidirect
93. C₅×#461	C₂²	semidirect
95. C₅×#446	C₂²	semidirect
97. C₅×#440	C₂²	semidirect
98. C₄×C₅×Q₁₆	C₂²	semidirect
101. #65479	C₂²	semidirect
103. #65474	C₂²	semidirect
104. Q₁₆×Dic₅	C₂²	semidirect
105. #65471	C₂²	semidirect
106. #65471	C₂²	semidirect
107. #65470	C₂²	semidirect
111. #65457	C₂²	semidirect
115. #65456	C₂²	semidirect
118. #65455	C₂²	semidirect
121. #65453	C₂²	semidirect
124. #65451	C₂²	semidirect
125. #65451	C₂²	semidirect
126. #65381	C₂²	semidirect
127. #65379	C₂²	semidirect
128. #65379	C₂²	semidirect
135. #65348	C₂²	semidirect
137. #65343	C₂²	semidirect
138. #65320	C₂²	semidirect
139. #65319	C₂²	semidirect
140. #65319	C₂²	semidirect
141. #65319	C₂²	semidirect
144. #65317	C₂²	semidirect
146. #65313	C₂²	semidirect
147. #65308	C₂²	semidirect
150. #65303	C₂²	semidirect
152. #65178	C₂²	semidirect
154. #65162	C₂²	semidirect
155. #65138	C₂²	semidirect
156. #65138	C₂²	semidirect
158. #65134	C₂²	semidirect
164. #65120	C₂²	semidirect
165. #65117	C₂²	semidirect
166. #65117	C₂²	semidirect
174. #65087	C₂²	semidirect
175. #65082	C₂²	semidirect
176. #65082	C₂²	semidirect
177. #65082	C₂²	semidirect
178. #65082	C₂²	semidirect
179. #65078	C₂²	semidirect
180. #65078	C₂²	semidirect
181. #65078	C₂²	semidirect
184. #65074	C₂²	semidirect
188. #65056	C₂²	semidirect
192. #65004	C₂²	semidirect
194. #64999	C₂²	semidirect
197. #64990	C₂²	semidirect
198. #64990	C₂²	semidirect
199. C₄×Dic₂₀	C₂²	semidirect
202. #64968	C₂²	semidirect
501. #3400	D₅	semidirect
758. #557	C₂×D₅	semidirect
809. #497	C₂×D₅	semidirect
835. #464	C₂×D₅	semidirect
855. #462	C₂×D₅	semidirect
863. #461	C₂×D₅	semidirect
875. #446	C₂×D₅	semidirect
891. #440	C₂×D₅	semidirect
895. C₄×Q₁₆	C₂×D₅	semidirect
1666. C₅	#61418	semidirect

Maximal subgroups

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

subgroup	index
#10618953	2
#10618921	2
C₅×#3400	2
#10615443	2
#10615417	2
#10613604	2
D₅×#497	2
#10613598	2
#10613596	2
#10613494	2
#10613489	2
#10612332	2
#10612330	2
#10612323	2
#10612321	2
#10612209	2
#10612200	2
#10612161	2
#10612160	2
#10612155	2
#10612153	2
#10612116	2
#10612108	2
#10611690	2
#10611686	2
#10611508	2
#10611503	2
#10611496	2
#10611495	2
#10611451	2
#10611445	2
#61418	5