Subgroups — #12980922

Order 1280.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10617742	C₂	1	1	yes	maximal, characteristic
2	Q₈×#709	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄×C₅×#137	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615727	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615718	C₂	1	1	yes	maximal, characteristic, complemented
6	#10614265	C₂	1	1	yes	maximal, characteristic, complemented
7	#10614174	C₂	1	1	yes	maximal, characteristic, complemented
8	#10611576	C₂	1	1	yes	maximal, characteristic, complemented
9	#10611572	C₂	1	1	yes	maximal, characteristic, complemented
10	#10611552	C₂	1	1	yes	maximal, characteristic, complemented
11	#10611546	C₂	1	1	yes	maximal, characteristic, complemented
12	#10611533	C₂	1	1	yes	maximal, characteristic, complemented
13	#10611526	C₂	1	1	yes	maximal, characteristic, complemented
14	#10611490	C₂	1	1	yes	maximal, characteristic, complemented
15	#10611486	C₂	1	1	yes	maximal, characteristic, complemented
16	#10611457	C₂	1	1	yes	maximal, characteristic, complemented
17	#10611456	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611454	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611453	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611386	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611382	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#4061	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×D₅×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
24	#10610969	C₂	1	1	yes	maximal, characteristic, complemented
25	#10610955	C₂	1	1	yes	maximal, characteristic, complemented
26	#10610704	C₂	1	1	yes	maximal, characteristic, complemented
27	#10610697	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610638	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610629	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610270	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610254	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅×#137	C₂²	1	1	yes	characteristic
33	C₄×C₅×#41	C₂²	1	1	yes	characteristic
34	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
35	#66163	C₂²	1	1	yes	characteristic
36	#66158	C₂²	1	1	yes	characteristic
37	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
38	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
39	C₂×#4061	C₂²	1	1	yes	characteristic
40	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
41	#65915	C₂²	1	1	yes	characteristic
42	#65914	C₂²	1	1	yes	characteristic
43	#65913	—	2	1	no	—
44	#65913	C₂²	1	1	yes	characteristic
45	#65912	—	2	1	no	—
46	#65912	—	2	1	no	—
47	#65912	C₂²	1	1	yes	characteristic
48	#65912	C₂²	1	1	yes	characteristic
49	#65912	C₂²	1	1	yes	characteristic, complemented
50	Q₈×D₂₀	C₂²	1	1	yes	characteristic
51	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
52	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic, complemented
53	#65902	C₂²	1	1	yes	characteristic
54	#65901	—	2	1	no	—
55	#65901	C₂²	1	1	yes	characteristic, complemented
56	Q₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
57	#65890	—	2	1	no	—
58	#65888	C₂²	1	1	yes	characteristic
59	#65881	—	2	1	no	—
60	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
61	#65874	—	2	1	no	—
62	#65873	C₂²	1	1	yes	characteristic
63	#65872	—	2	1	no	—
64	C₄×#711	C₂²	1	1	yes	characteristic
65	#65866	C₂²	1	1	yes	characteristic
66	#65865	—	2	1	no	—
67	#65863	C₂²	1	1	yes	characteristic
68	#65861	—	2	1	no	—
69	#65845	—	2	1	no	—
70	#65845	—	2	1	no	—
71	#65845	C₂²	1	1	yes	characteristic
72	#65845	C₂²	1	1	yes	characteristic, complemented
73	#65813	—	2	1	no	—
74	#65813	C₂²	1	1	yes	characteristic
75	C₄×#709	—	2	1	no	—
76	C₄×#709	C₂²	1	1	yes	characteristic
77	C₂×#4018	—	2	1	no	—
78	#65804	—	2	1	no	—
79	#65804	C₂²	1	1	yes	characteristic, complemented
80	C₅×#441	C₂²	1	1	yes	characteristic, complemented
81	C₅×#441	C₂²	1	1	yes	characteristic, complemented
82	C₅×#440	C₂²	1	1	yes	characteristic
83	C₅×#440	C₂²	1	1	yes	characteristic
84	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
85	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
86	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
87	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
88	C₅×#428	C₂²	1	1	yes	characteristic, complemented
89	C₅×#419	C₂²	1	1	yes	characteristic, complemented
90	C₅×#417	C₂²	1	1	yes	characteristic
91	C₄×C₅×M₁₆	C₂²	1	1	yes	characteristic, complemented
92	#65528	C₂²	1	1	yes	characteristic
93	#65528	C₂²	1	1	yes	characteristic
94	#65517	C₂²	1	1	yes	characteristic, complemented
95	#65516	C₂²	1	1	yes	characteristic
96	#65479	C₂²	1	1	yes	characteristic
97	#65478	C₂²	1	1	yes	characteristic, complemented
98	#65477	C₂²	1	1	yes	characteristic
99	#65475	C₂²	1	1	yes	characteristic
100	#65475	C₂²	1	1	yes	characteristic, complemented
101	#65474	C₂²	1	1	yes	characteristic
102	#65471	C₂²	1	1	yes	characteristic, complemented
103	#65470	C₂²	1	1	yes	characteristic, complemented
104	#65462	C₂²	1	1	yes	characteristic
105	#65458	C₂²	1	1	yes	characteristic
106	#65453	C₂²	1	1	yes	characteristic
107	#65451	C₂²	1	1	yes	characteristic
108	#65451	C₂²	1	1	yes	characteristic
109	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
110	#65426	C₂²	1	1	yes	characteristic, complemented
111	#65426	C₂²	1	1	yes	characteristic, complemented
112	#65423	C₂²	1	1	yes	characteristic
113	#65423	C₂²	1	1	yes	characteristic
114	#65417	C₂²	1	1	yes	characteristic, complemented
115	#65417	C₂²	1	1	yes	characteristic, complemented
116	#65416	C₂²	1	1	yes	characteristic
117	#65416	C₂²	1	1	yes	characteristic
118	#65320	C₂²	1	1	yes	characteristic, complemented
119	C₄×#689	C₂²	1	1	yes	characteristic, complemented
120	C₄×#689	C₂²	1	1	yes	characteristic, complemented
121	C₄×#689	C₂²	1	1	yes	characteristic, complemented
122	C₄×#689	C₂²	1	1	yes	characteristic, complemented
123	#65317	C₂²	1	1	yes	characteristic
124	#65317	C₂²	1	1	yes	characteristic
125	C₄×#688	C₂²	1	1	yes	characteristic
126	C₄×#688	C₂²	1	1	yes	characteristic
127	#65311	C₂²	1	1	yes	characteristic, complemented
128	#65311	C₂²	1	1	yes	characteristic, complemented
129	#65309	C₂²	1	1	yes	characteristic, complemented
130	#65308	C₂²	1	1	yes	characteristic
131	C₄×#687	C₂²	1	1	yes	characteristic
132	C₄×#687	C₂²	1	1	yes	characteristic
133	#65296	C₂²	1	1	yes	characteristic
134	#65285	C₂²	1	1	yes	characteristic, complemented
135	#65285	C₂²	1	1	yes	characteristic, complemented
136	#65260	C₂²	1	1	yes	characteristic, complemented
137	#65256	C₂²	1	1	yes	characteristic
138	#65214	C₂²	1	1	yes	characteristic, complemented
139	#65176	C₂²	1	1	yes	characteristic
140	#65175	C₂²	1	1	yes	characteristic
141	#65173	C₂²	1	1	yes	characteristic
142	#65171	C₂²	1	1	yes	characteristic
143	#65166	C₂²	1	1	yes	characteristic, complemented
144	#65165	C₂²	1	1	yes	characteristic, complemented
145	#65164	C₂²	1	1	yes	characteristic, complemented
146	#65163	C₂²	1	1	yes	characteristic, complemented
147	#65159	C₂²	1	1	yes	characteristic
148	#65156	C₂²	1	1	yes	characteristic, complemented
149	#65151	C₂²	1	1	yes	characteristic
150	#65150	C₂²	1	1	yes	characteristic, complemented
151	D₅×#106	C₂²	1	1	yes	characteristic
152	#65143	C₂²	1	1	yes	characteristic, complemented
153	#65142	C₂²	1	1	yes	characteristic, complemented
154	#65141	C₂²	1	1	yes	characteristic
155	#65107	C₂²	1	1	yes	characteristic
156	#65105	C₂²	1	1	yes	characteristic, complemented
157	#65103	C₂²	1	1	yes	characteristic, complemented
158	#65102	C₂²	1	1	yes	characteristic
159	#65102	C₂²	1	1	yes	characteristic
160	#65101	C₂²	1	1	yes	characteristic
161	#65098	C₂²	1	1	yes	characteristic
162	#65097	C₂²	1	1	yes	characteristic
163	#65095	C₂²	1	1	yes	characteristic
164	#65094	C₂²	1	1	yes	characteristic
165	#65094	C₂²	1	1	yes	characteristic, complemented
166	#65091	C₂²	1	1	yes	characteristic, complemented
167	D₅×#103	C₂²	1	1	yes	characteristic
168	#65088	C₂²	1	1	yes	characteristic, complemented
169	#65087	C₂²	1	1	yes	characteristic
170	#65086	C₂²	1	1	yes	characteristic, complemented
171	#65084	C₂²	1	1	yes	characteristic
172	#65083	C₂²	1	1	yes	characteristic, complemented
173	#65082	C₂²	1	1	yes	characteristic, complemented
174	#65082	C₂²	1	1	yes	characteristic, complemented
175	#65081	C₂²	1	1	yes	characteristic, complemented
176	#65081	C₂²	1	1	yes	characteristic, complemented
177	#65078	C₂²	1	1	yes	characteristic, complemented
178	#65077	C₂²	1	1	yes	characteristic
179	#65072	C₂²	1	1	yes	characteristic
180	#65065	C₂²	1	1	yes	characteristic
181	#65060	C₂²	1	1	yes	characteristic
182	D₅×#102	C₂²	1	1	yes	characteristic
183	#65050	C₂²	1	1	yes	characteristic
184	#65048	C₂²	1	1	yes	characteristic
185	#65047	C₂²	1	1	yes	characteristic
186	#65046	C₂²	1	1	yes	characteristic
187	#65004	C₂²	1	1	yes	characteristic
188	#65003	C₂²	1	1	yes	characteristic
189	#64995	C₂²	1	1	yes	characteristic
190	#64995	C₂²	1	1	yes	characteristic
191	#64992	C₂²	1	1	yes	characteristic, complemented
192	#64991	C₂²	1	1	yes	characteristic, complemented
193	#64990	C₂²	1	1	yes	characteristic, complemented
194	#64990	C₂²	1	1	yes	characteristic, complemented
195	C₄×Dic₂₀	C₂²	1	1	yes	characteristic, complemented
196	C₄×Dic₂₀	C₂²	1	1	yes	characteristic, complemented
197	C₄×#677	C₂²	1	1	yes	characteristic
198	C₄×#677	C₂²	1	1	yes	characteristic
199	C₄×#676	C₂²	1	1	yes	characteristic, complemented
200	#64974	C₂²	1	1	yes	characteristic
201	#64974	C₂²	1	1	yes	characteristic, complemented
202	C₄×C₈×D₅	C₂²	1	1	yes	characteristic
203	#61438	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂²×C₅×Q₈	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×#709	D₄	1	1	yes	characteristic
211	C₂²×C₄×D₅	—	2	1	no	—
212	C₅×#137	—	2	4	no	—
213	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₅×Q₁₆	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×M₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
219	C₄×C₅×Q₈	—	2	1	no	—
220	C₄×C₅×Q₈	—	2	1	no	—
221	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
222	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
223	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
224	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
225	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
226	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
227	C₄×C₅×D₄	—	2	1	no	—
228	C₄×C₅×D₄	—	2	1	no	—
229	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
230	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
231	C₅×#117	—	2	1	no	—
232	C₅×#117	C₂³	1	1	yes	characteristic
233	C₂×C₅×C₄⋊C₄	—	2	1	no	—
234	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₄²×C₅	—	2	1	no	—
236	C₂×C₄²×C₅	—	2	1	no	—
237	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
238	#4093	C₂³	1	1	yes	characteristic
239	#4092	—	2	1	no	—
240	#4092	—	2	1	no	—
241	#4092	C₂³	1	1	yes	characteristic
242	#4092	C₂³	1	1	yes	characteristic
243	#4092	C₂³	1	1	yes	characteristic
244	#4092	C₂³	1	1	yes	characteristic
245	Q₈×Dic₅	C₂³	1	1	yes	characteristic
246	Q₈×Dic₅	C₂³	1	1	yes	characteristic
247	#4090	—	2	1	no	—
248	#4090	—	2	1	no	—
249	#4090	C₂³	1	1	yes	characteristic
250	#4090	C₂³	1	1	yes	characteristic
251	#4090	C₂³	1	1	yes	characteristic
252	C₂×#689	C₂³	1	1	yes	characteristic
253	C₂×#689	C₂³	1	1	yes	characteristic
254	C₂×#689	C₂³	1	1	yes	characteristic
255	C₂×#689	C₂³	1	1	yes	characteristic
256	C₂×#688	C₂³	1	1	yes	characteristic
257	C₂×#688	C₂³	1	1	yes	characteristic
258	#4085	—	2	1	no	—
259	#4085	—	2	1	no	—
260	#4083	—	2	1	no	—
261	#4081	—	2	1	no	—
262	D₄×Dic₅	C₂³	1	1	yes	characteristic
263	D₄×Dic₅	C₂³	1	1	yes	characteristic
264	C₂×#687	C₂³	1	1	yes	characteristic
265	C₂×#687	C₂³	1	1	yes	characteristic
266	#4076	—	2	1	no	—
267	#4076	C₂³	1	1	yes	characteristic
268	#4075	—	2	1	no	—
269	#4075	—	2	1	no	—
270	#4075	—	2	1	no	—
271	C₄×C₂²⋊D₅	—	2	1	no	—
272	C₄×C₂²⋊D₅	—	2	1	no	—
273	C₄×C₂²⋊D₅	—	2	1	no	—
274	C₄×C₂²⋊D₅	—	2	1	no	—
275	C₄×C₂²⋊D₅	—	2	1	no	—
276	C₄×C₂²⋊D₅	—	2	1	no	—
277	C₄×C₂²⋊D₅	—	2	1	no	—
278	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
279	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
280	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
281	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
282	C₂×#685	—	2	1	no	—
283	C₂×#685	—	2	1	no	—
284	#4072	—	2	1	no	—
285	#4072	D₄	1	1	yes	characteristic
286	#4070	—	2	1	no	—
287	#4070	—	2	1	no	—
288	#4070	—	2	1	no	—
289	#4070	—	2	1	no	—
290	#4070	—	2	1	no	—
291	#4070	—	2	1	no	—
292	#4070	C₂³	1	1	yes	characteristic
293	#4070	C₂³	1	1	yes	characteristic
294	#4070	C₂³	1	1	yes	characteristic
295	C₂×#683	—	2	1	no	—
296	C₂×#683	—	2	1	no	—
297	C₂×C₄×Dic₅	—	2	1	no	—
298	#4061	—	2	4	no	—
299	D₅×SD₁₆	—	2	4	no	—
300	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
301	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
302	C₂×#677	C₂³	1	1	yes	characteristic
303	C₂×#677	C₂³	1	1	yes	characteristic
304	C₂×#676	C₂³	1	1	yes	characteristic
305	C₂×#676	C₂³	1	1	yes	characteristic
306	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
307	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
308	#4044	—	2	1	no	—
309	#4044	—	2	1	no	—
310	#4043	—	2	1	no	—
311	#4043	—	2	1	no	—
312	#4043	C₂³	1	1	yes	characteristic
313	#4043	C₂³	1	1	yes	characteristic
314	#4043	C₂³	1	1	yes	characteristic
315	#4042	—	2	1	no	—
316	#4042	—	2	1	no	—
317	#4042	—	2	1	no	—
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	#4041	C₂³	1	1	yes	characteristic
324	#4040	—	2	1	no	—
325	#4040	—	2	1	no	—
326	#4039	C₂³	1	1	yes	characteristic
327	#4038	C₂³	1	1	yes	characteristic
328	D₅×C₄⋊C₄	—	2	1	no	—
329	D₅×C₄⋊C₄	—	2	1	no	—
330	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
331	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
332	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
333	#4036	C₂³	1	1	yes	characteristic
334	#4035	—	2	1	no	—
335	#4035	—	2	1	no	—
336	#4035	—	2	1	no	—
337	#4035	—	2	1	no	—
338	#4035	—	2	1	no	—
339	#4035	—	2	1	no	—
340	#4035	—	2	1	no	—
341	#4035	—	2	1	no	—
342	#4034	—	2	1	no	—
343	#4034	—	2	1	no	—
344	#4034	C₂³	1	1	yes	characteristic
345	#4034	C₂³	1	1	yes	characteristic
346	#4034	C₂³	1	1	yes	characteristic
347	#4033	—	2	1	no	—
348	#4033	—	2	1	no	—
349	#4033	C₂³	1	1	yes	characteristic
350	#4033	C₂³	1	1	yes	characteristic
351	#4033	C₂³	1	1	yes	characteristic
352	#4032	—	2	1	no	—
353	#4031	—	2	1	no	—
354	#4030	—	2	1	no	—
355	#4029	—	2	1	no	—
356	#4028	—	2	1	no	—
357	#4027	—	2	1	no	—
358	#4027	—	2	1	no	—
359	D₅×C₂²⋊C₄	—	2	1	no	—
360	#4025	—	2	1	no	—
361	#4024	—	2	1	no	—
362	#4024	—	2	1	no	—
363	#4023	—	2	1	no	—
364	#4022	—	2	1	no	—
365	#4022	—	2	1	no	—
366	#4022	—	2	1	no	—
367	#4021	—	2	1	no	—
368	#4021	C₂³	1	1	yes	characteristic
369	C₄×D₂₀	—	2	1	no	—
370	C₄×D₂₀	—	2	1	no	—
371	C₄×D₂₀	—	2	1	no	—
372	C₄×D₂₀	D₄	1	1	yes	characteristic
373	C₄×D₂₀	C₂³	1	1	yes	characteristic
374	C₄×D₂₀	C₂³	1	1	yes	characteristic
375	#4018	—	2	1	no	—
376	#4018	—	2	1	no	—
377	#4018	—	2	1	no	—
378	#4018	—	2	1	no	—
379	#4018	—	2	1	no	—
380	#4018	—	2	1	no	—
381	#4018	—	2	1	no	—
382	#4018	—	2	1	no	—
383	#4018	—	2	1	no	—
384	#4018	D₄	1	1	yes	characteristic
385	#4018	D₄	1	1	yes	characteristic
386	C₄²×D₅	—	2	1	no	—
387	C₄²×D₅	—	2	1	no	—
388	C₄²×D₅	C₂³	1	1	yes	characteristic
389	C₄²×D₅	C₂³	1	1	yes	characteristic
390	#4016	—	2	1	no	—
391	#4016	—	2	1	no	—
392	#4016	—	2	1	no	—
393	#4016	—	2	1	no	—
394	#4016	C₂³	1	1	yes	characteristic
395	#4015	—	2	1	no	—
396	#4015	—	2	1	no	—
397	#4015	C₂³	1	1	yes	characteristic
398	#4015	C₂³	1	1	yes	characteristic
399	C₄×Dic₁₀	—	2	1	no	—
400	C₄×Dic₁₀	—	2	1	no	—
401	C₄×Dic₁₀	—	2	1	no	—
402	C₄×Dic₁₀	—	2	1	no	—
403	C₄×Dic₁₀	—	2	1	no	—
404	C₄×Dic₁₀	—	2	1	no	—
405	C₄×Dic₁₀	—	2	1	no	—
406	C₄×Dic₁₀	—	2	1	no	—
407	C₄×Dic₁₀	D₄	1	1	yes	characteristic
408	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
409	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
410	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
411	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
412	C₅×#107	C₂³	1	1	yes	characteristic
413	C₅×#107	C₂³	1	1	yes	characteristic
414	C₅×#106	C₂³	1	1	yes	characteristic
415	C₅×#106	C₂³	1	1	yes	characteristic
416	C₅×#103	C₂³	1	1	yes	characteristic
417	C₅×#103	C₂³	1	1	yes	characteristic
418	C₅×#103	C₂³	1	1	yes	characteristic
419	C₅×#103	C₂³	1	1	yes	characteristic
420	C₅×#103	C₂³	1	1	yes	characteristic
421	C₅×#103	C₂³	1	1	yes	characteristic
422	C₅×#102	C₂³	1	1	yes	characteristic
423	C₅×#102	C₂³	1	1	yes	characteristic
424	C₅×#97	C₂³	1	1	yes	characteristic
425	C₅×#97	C₂³	1	1	yes	characteristic
426	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
427	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
428	#3967	C₂³	1	1	yes	characteristic
429	#3967	C₂³	1	1	yes	characteristic
430	#3967	C₂³	1	1	yes	characteristic
431	#3967	C₂³	1	1	yes	characteristic
432	#3967	C₂³	1	1	yes	characteristic
433	#3967	C₂³	1	1	yes	characteristic
434	#3964	C₂³	1	1	yes	characteristic
435	#3964	C₂³	1	1	yes	characteristic
436	C₂²⋊#168	C₂³	1	1	yes	characteristic
437	C₂²⋊#168	C₂³	1	1	yes	characteristic
438	#3953	C₂³	1	1	yes	characteristic
439	#3953	C₂³	1	1	yes	characteristic
440	#3952	C₂³	1	1	yes	characteristic
441	#3952	C₂³	1	1	yes	characteristic
442	#3952	C₂³	1	1	yes	characteristic
443	#3952	C₂³	1	1	yes	characteristic
444	#3950	C₂³	1	1	yes	characteristic
445	#3950	C₂³	1	1	yes	characteristic
446	#3949	C₂³	1	1	yes	characteristic
447	#3949	C₂³	1	1	yes	characteristic
448	#3948	C₂³	1	1	yes	characteristic
449	#3948	C₂³	1	1	yes	characteristic
450	#3948	C₂³	1	1	yes	characteristic
451	#3948	C₂³	1	1	yes	characteristic
452	#3948	C₂³	1	1	yes	characteristic
453	#3948	C₂³	1	1	yes	characteristic
454	#3947	C₂³	1	1	yes	characteristic
455	#3947	C₂³	1	1	yes	characteristic
456	#3946	C₂³	1	1	yes	characteristic
457	#3946	C₂³	1	1	yes	characteristic
458	#3946	C₂³	1	1	yes	characteristic
459	#3946	C₂³	1	1	yes	characteristic
460	C₈×Dic₅	C₂³	1	1	yes	characteristic
461	C₈×Dic₅	C₂³	1	1	yes	characteristic
462	#3942	C₂³	1	1	yes	characteristic
463	#3942	C₂³	1	1	yes	characteristic
464	#3942	C₂³	1	1	yes	characteristic
465	#3942	C₂³	1	1	yes	characteristic
466	#3942	C₂³	1	1	yes	characteristic
467	#3942	C₂³	1	1	yes	characteristic
468	#3941	C₂³	1	1	yes	characteristic
469	#3941	C₂³	1	1	yes	characteristic
470	#3940	C₂³	1	1	yes	characteristic
471	#3940	C₂³	1	1	yes	characteristic
472	#3940	C₂³	1	1	yes	characteristic
473	#3940	C₂³	1	1	yes	characteristic
474	#3939	C₂³	1	1	yes	characteristic
475	#3939	C₂³	1	1	yes	characteristic
476	#3939	C₂³	1	1	yes	characteristic
477	#3939	C₂³	1	1	yes	characteristic
478	C₄⋊#168	C₂³	1	1	yes	characteristic
479	C₄⋊#168	C₂³	1	1	yes	characteristic
480	C₄×#168	C₂³	1	1	yes	characteristic
481	C₄×#168	C₂³	1	1	yes	characteristic
482	Q₈×#41	—	5	1	no	—
483	#3475	—	5	1	no	—
484	#3398	—	5	1	no	—
485	#3385	—	5	1	no	—
486	#3372	—	5	1	no	—
487	#3369	—	5	1	no	—
488	#3357	—	5	1	no	—
489	#3344	—	5	1	no	—
490	#3344	—	5	1	no	—
491	#3331	—	5	1	no	—
492	#3329	—	5	1	no	—
493	#3314	—	5	1	no	—
494	#3314	—	5	1	no	—
495	#3312	—	5	1	no	—
496	#3312	—	5	1	no	—
497	#3276	—	5	1	no	—
498	#3266	—	5	1	no	—
499	#3266	—	5	1	no	—
500	#3172	—	5	1	no	—
501	#3172	—	5	1	no	—
502	#3170	—	5	1	no	—
503	#3108	—	5	1	no	—
504	#3108	—	5	1	no	—
505	#3107	—	5	1	no	—
506	#3107	—	5	1	no	—
507	#3104	—	5	1	no	—
508	#3101	—	5	1	no	—
509	#2965	—	5	1	no	—
510	C₄×#137	—	5	1	no	—
511	C₄×#137	D₅	1	1	yes	characteristic, complemented
512	C₂×C₄×SD₁₆	—	5	1	no	—
513	C₂³×D₅	—	2	1	no	—
514	C₅×#41	—	2	2	no	—
515	C₅×#41	—	4	1	no	—
516	C₂×C₅×Q₈	—	2	1	no	—
517	C₂×C₅×Q₈	—	2	2	no	—
518	C₂×C₅×Q₈	—	4	1	no	—
519	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
520	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
521	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
522	C₂×C₅×D₄	—	2	1	no	—
523	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₅	—	2	1	no	—
525	C₂²×C₄×C₅	—	2	1	no	—
526	C₂²×C₄×C₅	—	2	1	no	—
527	C₂²×C₄×C₅	—	2	1	no	—
528	C₂²×C₄×C₅	—	2	1	no	—
529	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
530	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
531	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
532	C₂×C₂²⋊D₅	—	2	1	no	—
533	C₂×C₂²⋊D₅	—	2	1	no	—
534	C₂×C₂²⋊D₅	—	2	1	no	—
535	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
536	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
537	C₂²×Dic₅	—	2	1	no	—
538	C₂²×Dic₅	—	2	1	no	—
539	C₂²×Dic₅	—	2	1	no	—
540	Q₈×D₅	—	2	2	no	—
541	Q₈×D₅	—	2	2	no	—
542	Q₈×D₅	—	4	1	no	—
543	Q₈×D₅	—	4	1	no	—
544	#711	—	2	2	no	—
545	#711	—	4	1	no	—
546	D₄×D₅	—	2	2	no	—
547	D₄×D₅	—	4	1	no	—
548	#709	—	2	4	no	—
549	C₂×D₂₀	—	2	1	no	—
550	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
551	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
552	C₂×C₄×D₅	—	2	1	no	—
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	—	4	4	no	—
560	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
561	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
562	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
563	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
564	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
565	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
566	C₂×Dic₁₀	—	2	1	no	—
567	C₂×Dic₁₀	—	2	1	no	—
568	C₂×Dic₁₀	—	2	1	no	—
569	C₂×Dic₁₀	—	2	1	no	—
570	C₂×Dic₁₀	—	2	1	no	—
571	C₂×Dic₁₀	—	2	1	no	—
572	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
573	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
574	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
575	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
576	C₅×Q₁₆	—	2	2	no	—
577	C₅×Q₁₆	—	2	2	no	—
578	C₅×SD₁₆	—	2	2	no	—
579	C₅×SD₁₆	#41	1	4	yes	complemented
580	C₅×M₁₆	—	2	2	no	—
581	C₅×M₁₆	—	4	1	no	—
582	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
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	C₅×C₄⋊C₄	—	2	1	no	—
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	C₂⁴	1	1	yes	characteristic
594	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
595	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
596	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
597	C₅×C₂²⋊C₄	—	2	1	no	—
598	C₅×C₂²⋊C₄	—	2	1	no	—
599	C₅×C₂²⋊C₄	—	2	1	no	—
600	C₄²×C₅	—	2	1	no	—
601	C₄²×C₅	—	2	1	no	—
602	C₄²×C₅	—	2	1	no	—
603	C₄²×C₅	—	2	1	no	—
604	C₄²×C₅	—	2	1	no	—
605	C₄²×C₅	—	2	1	no	—
606	C₄²×C₅	—	2	1	no	—
607	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
608	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
609	C₄²×C₅	C₂⁴	1	1	yes	characteristic
610	C₄²×C₅	C₂⁴	1	1	yes	characteristic
611	C₂²⋊Dic₅	—	2	1	no	—
612	C₂²⋊Dic₅	—	2	1	no	—
613	C₂²⋊Dic₅	—	2	1	no	—
614	C₂²⋊Dic₅	—	2	1	no	—
615	C₂²⋊Dic₅	—	2	1	no	—
616	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
617	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
618	#689	—	2	2	no	—
619	#689	—	4	1	no	—
620	#689	—	4	1	no	—
621	#689	—	4	1	no	—
622	#688	—	2	2	no	—
623	#688	—	4	1	no	—
624	#687	—	2	2	no	—
625	#687	—	2	2	no	—
626	#685	—	2	1	no	—
627	#685	—	2	1	no	—
628	#685	—	2	1	no	—
629	#685	—	2	1	no	—
630	#685	—	2	1	no	—
631	#685	—	2	1	no	—
632	#685	—	2	1	no	—
633	#685	—	2	1	no	—
634	#685	—	2	1	no	—
635	#685	—	2	1	no	—
636	#685	—	2	1	no	—
637	#685	—	2	1	no	—
638	#685	—	2	1	no	—
639	#685	—	2	1	no	—
640	#685	—	2	1	no	—
641	#685	—	2	1	no	—
642	#685	C₂×D₄	1	1	yes	characteristic
643	#685	C₂×D₄	1	1	yes	characteristic
644	#685	C₂×D₄	1	1	yes	characteristic
645	#685	C₂×D₄	1	1	yes	characteristic
646	C₄⋊Dic₅	—	2	1	no	—
647	C₄⋊Dic₅	—	2	1	no	—
648	C₄⋊Dic₅	—	2	1	no	—
649	C₄⋊Dic₅	—	2	1	no	—
650	C₄⋊Dic₅	—	2	1	no	—
651	C₄⋊Dic₅	—	2	1	no	—
652	C₄⋊Dic₅	—	2	1	no	—
653	C₄⋊Dic₅	—	2	1	no	—
654	C₄⋊Dic₅	—	2	1	no	—
655	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
656	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
657	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
658	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
659	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
660	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
661	#683	—	2	1	no	—
662	#683	—	2	1	no	—
663	#683	—	2	1	no	—
664	#683	—	2	1	no	—
665	#683	—	2	1	no	—
666	#683	—	2	1	no	—
667	#683	—	2	1	no	—
668	#683	—	2	1	no	—
669	#683	—	2	1	no	—
670	#683	—	2	1	no	—
671	#683	—	2	1	no	—
672	#683	—	2	1	no	—
673	#683	—	2	1	no	—
674	#683	—	2	1	no	—
675	#683	—	2	1	no	—
676	#683	—	2	1	no	—
677	#683	—	2	1	no	—
678	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	—	2	1	no	—
684	#683	—	2	1	no	—
685	#683	—	2	1	no	—
686	#683	—	2	1	no	—
687	#683	—	2	1	no	—
688	#683	—	2	1	no	—
689	#683	C₂×D₄	1	1	yes	characteristic
690	#683	C₂×D₄	1	1	yes	characteristic
691	#683	C₂×D₄	1	1	yes	characteristic
692	#683	C₂×D₄	1	1	yes	characteristic
693	C₄×Dic₅	—	2	1	no	—
694	C₄×Dic₅	—	2	1	no	—
695	C₄×Dic₅	—	2	1	no	—
696	C₄×Dic₅	—	2	1	no	—
697	C₄×Dic₅	—	2	1	no	—
698	C₄×Dic₅	—	2	1	no	—
699	C₄×Dic₅	—	2	1	no	—
700	C₄×Dic₅	—	2	1	no	—
701	C₄×Dic₅	—	2	1	no	—
702	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
703	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
704	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
705	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
706	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
707	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
708	C₂×#168	C₂⁴	1	1	yes	characteristic
709	C₂×#168	C₂⁴	1	1	yes	characteristic
710	C₂×#168	C₂⁴	1	1	yes	characteristic
711	C₂×#168	C₂⁴	1	1	yes	characteristic
712	Dic₂₀	—	2	2	no	—
713	Dic₂₀	—	4	1	no	—
714	#677	—	2	2	no	—
715	#677	—	4	1	no	—
716	#676	—	2	2	no	—
717	#676	—	4	1	no	—
718	C₈×D₅	—	2	2	no	—
719	C₈×D₅	—	4	1	no	—
720	C₂×#137	—	5	1	no	—
721	C₂×#137	C₂×D₅	1	1	yes	characteristic
722	C₂²×SD₁₆	—	5	1	no	—
723	Q₈²	—	5	1	no	—
724	#557	—	5	1	no	—
725	#557	—	10	1	no	—
726	#556	—	5	1	no	—
727	#555	—	5	1	no	—
728	#554	—	5	1	no	—
729	#554	—	5	1	no	—
730	#554	—	5	1	no	—
731	#554	—	5	1	no	—
732	#554	—	10	1	no	—
733	#554	—	10	1	no	—
734	#554	—	10	1	no	—
735	#553	—	10	1	no	—
736	#552	—	5	1	no	—
737	#552	—	5	1	no	—
738	#552	—	10	1	no	—
739	#551	—	10	1	no	—
740	#551	—	10	1	no	—
741	D₄×Q₈	—	5	1	no	—
742	D₄×Q₈	—	5	1	no	—
743	D₄×Q₈	—	5	1	no	—
744	#547	—	5	1	no	—
745	#546	—	5	1	no	—
746	#546	—	5	1	no	—
747	#533	—	5	1	no	—
748	#533	—	5	1	no	—
749	#533	—	5	1	no	—
750	#533	—	5	1	no	—
751	#533	—	10	1	no	—
752	#533	—	10	1	no	—
753	#533	—	10	1	no	—
754	#529	—	5	1	no	—
755	#529	—	5	1	no	—
756	#529	—	10	1	no	—
757	#529	—	10	1	no	—
758	#525	—	10	1	no	—
759	C₄×#41	—	5	1	no	—
760	C₄×#41	—	5	1	no	—
761	C₄×#41	—	10	1	no	—
762	C₄×#41	C₂×D₅	1	1	yes	characteristic
763	C₂×C₄×Q₈	—	5	1	no	—
764	C₂×C₄×Q₈	—	5	1	no	—
765	C₂×C₄×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
766	C₂×C₄×D₄	—	5	1	no	—
767	C₂×#117	—	10	1	no	—
768	#501	—	5	1	no	—
769	#501	—	5	1	no	—
770	#500	—	5	1	no	—
771	#497	—	5	1	no	—
772	#497	—	5	1	no	—
773	#494	—	5	1	no	—
774	#491	—	5	1	no	—
775	#491	—	5	1	no	—
776	#489	—	5	1	no	—
777	#489	—	5	1	no	—
778	#487	—	5	1	no	—
779	#487	—	5	1	no	—
780	#485	—	5	1	no	—
781	#485	—	5	1	no	—
782	#485	—	5	1	no	—
783	#485	—	5	1	no	—
784	#484	—	5	1	no	—
785	#484	—	5	1	no	—
786	#483	—	5	1	no	—
787	#483	—	5	1	no	—
788	#483	—	5	1	no	—
789	#483	—	5	1	no	—
790	#480	—	5	1	no	—
791	#480	—	5	1	no	—
792	#479	—	5	1	no	—
793	#479	—	5	1	no	—
794	#479	—	5	1	no	—
795	#479	—	5	1	no	—
796	#477	—	5	1	no	—
797	#477	—	5	1	no	—
798	#476	—	5	1	no	—
799	#476	—	5	1	no	—
800	#475	—	5	1	no	—
801	#475	—	5	1	no	—
802	#474	—	5	1	no	—
803	#474	—	5	1	no	—
804	#470	—	5	1	no	—
805	#470	—	5	1	no	—
806	#470	—	5	1	no	—
807	#470	—	5	1	no	—
808	#468	—	5	1	no	—
809	#468	—	5	1	no	—
810	#468	—	5	1	no	—
811	#468	—	5	1	no	—
812	#467	—	5	1	no	—
813	#467	—	5	1	no	—
814	#467	—	5	1	no	—
815	#467	—	5	1	no	—
816	#464	—	5	1	no	—
817	#464	—	5	1	no	—
818	#464	—	5	1	no	—
819	#464	—	5	1	no	—
820	#462	—	5	1	no	—
821	#462	—	5	1	no	—
822	#462	—	5	1	no	—
823	#462	—	5	1	no	—
824	#461	—	5	1	no	—
825	#461	—	5	1	no	—
826	#461	—	5	1	no	—
827	#461	—	5	1	no	—
828	#452	—	5	1	no	—
829	#452	—	5	1	no	—
830	#452	—	5	1	no	—
831	#452	—	5	1	no	—
832	#451	—	5	1	no	—
833	#451	—	5	1	no	—
834	#451	—	5	1	no	—
835	#451	—	5	1	no	—
836	#450	—	5	1	no	—
837	#450	—	5	1	no	—
838	#448	—	5	1	no	—
839	#448	—	5	1	no	—
840	#446	—	5	1	no	—
841	#446	—	5	1	no	—
842	#441	—	5	1	no	—
843	#441	—	5	1	no	—
844	#441	C₂×D₅	1	1	yes	characteristic, complemented
845	#441	C₂×D₅	1	1	yes	characteristic, complemented
846	#440	—	5	1	no	—
847	#440	—	5	1	no	—
848	#440	C₂×D₅	1	1	yes	characteristic
849	#440	C₂×D₅	1	1	yes	characteristic
850	C₄×Q₁₆	—	5	1	no	—
851	C₄×Q₁₆	—	5	1	no	—
852	C₄×Q₁₆	—	5	1	no	—
853	C₄×Q₁₆	—	5	1	no	—
854	C₄×Q₁₆	—	5	1	no	—
855	C₄×Q₁₆	—	5	1	no	—
856	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic, complemented
857	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic, complemented
858	C₄×SD₁₆	—	5	1	no	—
859	C₄×SD₁₆	—	5	1	no	—
860	C₄×SD₁₆	—	5	1	no	—
861	C₄×SD₁₆	—	5	1	no	—
862	C₄×SD₁₆	—	5	1	no	—
863	C₄×SD₁₆	—	5	1	no	—
864	C₄×SD₁₆	—	5	1	no	—
865	C₄×SD₁₆	—	5	1	no	—
866	C₄×SD₁₆	—	5	1	no	—
867	C₄×SD₁₆	—	5	1	no	—
868	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
869	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
870	#436	—	5	1	no	—
871	#436	—	5	1	no	—
872	#435	—	5	1	no	—
873	#435	—	5	1	no	—
874	#435	—	5	1	no	—
875	#435	—	5	1	no	—
876	#431	—	5	1	no	—
877	#431	—	5	1	no	—
878	#431	—	5	1	no	—
879	#428	—	5	1	no	—
880	#428	C₂×D₅	1	1	yes	characteristic, complemented
881	C₂×#106	—	5	1	no	—
882	#419	—	5	1	no	—
883	#419	C₂×D₅	1	1	yes	characteristic, complemented
884	#417	—	5	1	no	—
885	#417	C₂×D₅	1	1	yes	characteristic
886	C₂×#103	—	5	1	no	—
887	C₂×#102	—	5	1	no	—
888	C₄×M₁₆	—	5	1	no	—
889	C₄×M₁₆	C₂×D₅	1	1	yes	characteristic, complemented
890	C₂×C₄×C₈	—	5	1	no	—
891	C₂³×C₅	—	2	1	no	—
892	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
893	C₂²×D₅	—	2	1	no	—
894	C₂²×D₅	—	4	2	no	—
895	C₂²×D₅	—	4	2	no	—
896	C₂²×D₅	—	8	1	no	—
897	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
898	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
899	C₅×Q₈	—	2	1	no	—
900	C₅×Q₈	—	2	1	no	—
901	C₅×Q₈	—	2	1	no	—
902	C₅×Q₈	—	2	1	no	—
903	C₅×Q₈	—	2	1	no	—
904	C₅×Q₈	—	4	2	no	—
905	C₅×Q₈	C₂×#41	1	2	yes	—
906	C₅×D₄	—	2	1	no	—
907	C₅×D₄	—	4	2	no	—
908	C₅×D₄	C₂×#41	1	2	yes	—
909	C₂×C₄×C₅	—	2	1	no	—
910	C₂×C₄×C₅	—	2	2	no	—
911	C₂×C₄×C₅	—	2	1	no	—
912	C₂×C₄×C₅	—	2	1	no	—
913	C₂×C₄×C₅	—	2	1	no	—
914	C₂×C₄×C₅	—	2	1	no	—
915	C₂×C₄×C₅	—	2	1	no	—
916	C₂×C₄×C₅	—	2	1	no	—
917	C₂×C₄×C₅	—	2	1	no	—
918	C₂×C₄×C₅	—	2	1	no	—
919	C₂×C₄×C₅	—	4	1	no	—
920	C₂×C₄×C₅	—	4	2	no	—
921	C₂×C₄×C₅	—	4	2	no	—
922	C₂×C₄×C₅	—	4	2	no	—
923	C₂×C₄×C₅	—	8	1	no	—
924	C₂×C₄×C₅	—	8	1	no	—
925	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
926	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
927	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
928	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
929	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
930	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
931	C₂²⋊D₅	—	2	2	no	—
932	C₂²⋊D₅	—	2	2	no	—
933	C₂²⋊D₅	—	4	2	no	—
934	C₂²⋊D₅	—	4	2	no	—
935	C₂²⋊D₅	—	8	1	no	—
936	C₂×Dic₅	—	2	1	no	—
937	C₂×Dic₅	—	2	1	no	—
938	C₂×Dic₅	—	2	1	no	—
939	C₂×Dic₅	—	2	1	no	—
940	C₂×Dic₅	—	2	1	no	—
941	C₂×Dic₅	—	2	1	no	—
942	C₂×Dic₅	—	2	1	no	—
943	C₂×Dic₅	—	4	2	no	—
944	C₂×Dic₅	—	4	2	no	—
945	C₂×Dic₅	—	8	1	no	—
946	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
947	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
948	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
949	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
950	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
951	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
952	D₂₀	—	2	2	no	—
953	D₂₀	—	2	1	no	—
954	D₂₀	—	2	1	no	—
955	D₂₀	—	8	1	no	—
956	C₄×D₅	—	2	2	no	—
957	C₄×D₅	—	2	1	no	—
958	C₄×D₅	—	2	1	no	—
959	C₄×D₅	—	2	1	no	—
960	C₄×D₅	—	2	1	no	—
961	C₄×D₅	—	4	1	no	—
962	C₄×D₅	—	4	1	no	—
963	C₄×D₅	—	4	2	no	—
964	C₄×D₅	—	4	2	no	—
965	C₄×D₅	—	4	2	no	—
966	C₄×D₅	—	4	2	no	—
967	C₄×D₅	—	4	2	no	—
968	C₄×D₅	—	8	1	no	—
969	C₄×D₅	—	8	1	no	—
970	C₄×D₅	#137	1	4	yes	complemented
971	Dic₁₀	—	2	2	no	—
972	Dic₁₀	—	2	1	no	—
973	Dic₁₀	—	2	1	no	—
974	Dic₁₀	—	2	1	no	—
975	Dic₁₀	—	2	1	no	—
976	Dic₁₀	—	2	1	no	—
977	Dic₁₀	—	2	1	no	—
978	Dic₁₀	—	4	2	no	—
979	Dic₁₀	—	4	2	no	—
980	Dic₁₀	—	8	1	no	—
981	Dic₁₀	—	8	1	no	—
982	Dic₁₀	—	8	1	no	—
983	Dic₁₀	—	8	1	no	—
984	C₅×C₈	—	2	1	no	—
985	C₅×C₈	—	2	1	no	—
986	C₅×C₈	—	2	1	no	—
987	C₅×C₈	C₂×#41	1	2	yes	—
988	#168	—	2	1	no	—
989	#168	—	2	1	no	—
990	#168	—	2	1	no	—
991	#168	—	2	1	no	—
992	C₂×#41	—	5	1	no	—
993	C₂×#41	—	5	1	no	—
994	C₂×#41	C₂²×D₅	1	1	yes	characteristic
995	C₂²×Q₈	—	5	1	no	—
996	C₂²×Q₈	—	5	1	no	—
997	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
998	C₂²×D₄	—	5	1	no	—
999	C₂³×C₄	—	10	1	no	—
1000	#137	—	2	4	no	—
1001	#137	—	10	4	no	—
1002	C₂×Q₁₆	—	5	1	no	—
1003	C₂×Q₁₆	—	5	1	no	—
1004	C₂×Q₁₆	—	5	1	no	—
1005	C₂×Q₁₆	—	5	1	no	—
1006	C₂×Q₁₆	—	5	1	no	—
1007	C₂×Q₁₆	—	5	1	no	—
1008	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1009	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1010	C₂×SD₁₆	—	5	1	no	—
1011	C₂×SD₁₆	—	5	1	no	—
1012	C₂×SD₁₆	—	5	1	no	—
1013	C₂×SD₁₆	—	5	1	no	—
1014	C₂×SD₁₆	—	5	1	no	—
1015	C₂×SD₁₆	—	5	1	no	—
1016	C₂×SD₁₆	—	10	4	no	—
1017	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1018	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1019	C₂×M₁₆	—	5	1	no	—
1020	C₂×M₁₆	—	5	1	no	—
1021	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1022	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1023	C₂²×C₈	—	5	1	no	—
1024	C₂²×C₈	—	5	1	no	—
1025	C₄⋊Q₈	—	5	1	no	—
1026	C₄⋊Q₈	—	5	1	no	—
1027	C₄⋊Q₈	—	5	1	no	—
1028	C₄⋊Q₈	—	5	1	no	—
1029	C₄⋊Q₈	—	5	1	no	—
1030	C₄⋊Q₈	—	5	1	no	—
1031	C₄⋊Q₈	—	5	1	no	—
1032	C₄⋊Q₈	—	5	1	no	—
1033	C₄⋊Q₈	—	10	1	no	—
1034	C₄⋊Q₈	—	10	1	no	—
1035	C₄⋊Q₈	—	10	1	no	—
1036	C₄⋊Q₈	—	10	1	no	—
1037	C₄⋊Q₈	—	10	1	no	—
1038	C₄⋊Q₈	—	10	1	no	—
1039	#126	—	10	1	no	—
1040	#126	—	10	1	no	—
1041	#126	—	10	1	no	—
1042	#126	—	10	1	no	—
1043	#126	—	10	1	no	—
1044	#126	—	10	1	no	—
1045	#125	—	5	1	no	—
1046	#125	—	5	1	no	—
1047	#125	—	10	1	no	—
1048	#125	—	10	1	no	—
1049	#125	—	10	1	no	—
1050	#125	—	10	1	no	—
1051	#125	—	10	1	no	—
1052	#125	—	10	1	no	—
1053	#125	—	10	1	no	—
1054	#125	—	10	1	no	—
1055	#125	—	10	1	no	—
1056	#125	—	10	1	no	—
1057	#125	—	10	1	no	—
1058	#125	—	10	1	no	—
1059	#124	—	5	1	no	—
1060	#124	—	5	1	no	—
1061	#124	—	10	1	no	—
1062	#124	—	10	1	no	—
1063	#123	—	10	1	no	—
1064	#123	—	10	1	no	—
1065	#123	—	10	1	no	—
1066	#123	—	10	1	no	—
1067	#123	—	10	1	no	—
1068	#123	—	10	1	no	—
1069	#123	—	10	1	no	—
1070	#123	—	10	1	no	—
1071	C₂²⋊Q₈	—	5	1	no	—
1072	C₂²⋊Q₈	—	5	1	no	—
1073	C₂²⋊Q₈	—	5	1	no	—
1074	C₂²⋊Q₈	—	5	1	no	—
1075	C₂²⋊Q₈	—	5	1	no	—
1076	C₂²⋊Q₈	—	5	1	no	—
1077	C₂²⋊Q₈	—	5	1	no	—
1078	C₂²⋊Q₈	—	5	1	no	—
1079	C₂²⋊Q₈	—	5	1	no	—
1080	C₂²⋊Q₈	—	5	1	no	—
1081	C₂²⋊Q₈	—	10	1	no	—
1082	C₂²⋊Q₈	—	10	1	no	—
1083	C₂²⋊Q₈	—	10	1	no	—
1084	C₂²⋊Q₈	—	10	1	no	—
1085	C₂²⋊Q₈	—	10	1	no	—
1086	C₂²⋊Q₈	—	10	1	no	—
1087	C₂²⋊Q₈	—	10	1	no	—
1088	C₂²⋊Q₈	—	10	1	no	—
1089	C₂²⋊Q₈	—	10	1	no	—
1090	C₂²⋊Q₈	—	10	1	no	—
1091	C₂²⋊Q₈	—	10	1	no	—
1092	C₂²⋊Q₈	—	10	1	no	—
1093	C₂²⋊Q₈	—	10	1	no	—
1094	C₂²⋊Q₈	—	10	1	no	—
1095	C₂²⋊Q₈	—	10	1	no	—
1096	C₂²⋊Q₈	—	10	1	no	—
1097	C₂²⋊Q₈	—	10	1	no	—
1098	C₂²⋊Q₈	—	10	1	no	—
1099	C₂²⋊Q₈	—	10	1	no	—
1100	C₂²⋊Q₈	—	10	1	no	—
1101	#121	—	5	1	no	—
1102	#121	—	5	1	no	—
1103	#121	—	10	1	no	—
1104	#121	—	10	1	no	—
1105	#121	—	10	1	no	—
1106	#121	—	10	1	no	—
1107	#120	—	10	1	no	—
1108	#120	—	10	1	no	—
1109	C₄×Q₈	—	2	1	no	—
1110	C₄×Q₈	—	2	1	no	—
1111	C₄×Q₈	—	5	1	no	—
1112	C₄×Q₈	—	5	1	no	—
1113	C₄×Q₈	—	5	1	no	—
1114	C₄×Q₈	—	5	1	no	—
1115	C₄×Q₈	—	5	1	no	—
1116	C₄×Q₈	—	5	1	no	—
1117	C₄×Q₈	—	5	1	no	—
1118	C₄×Q₈	—	5	1	no	—
1119	C₄×Q₈	—	5	1	no	—
1120	C₄×Q₈	—	5	1	no	—
1121	C₄×Q₈	—	10	1	no	—
1122	C₄×Q₈	—	10	1	no	—
1123	C₄×Q₈	—	10	1	no	—
1124	C₄×Q₈	—	10	1	no	—
1125	C₄×Q₈	—	10	1	no	—
1126	C₄×Q₈	—	10	1	no	—
1127	C₄×Q₈	—	10	1	no	—
1128	C₄×Q₈	—	10	1	no	—
1129	C₄×Q₈	—	10	1	no	—
1130	C₄×Q₈	—	10	1	no	—
1131	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1132	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1133	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1134	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1135	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1136	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1137	C₄×D₄	—	2	1	no	—
1138	C₄×D₄	—	2	1	no	—
1139	C₄×D₄	—	5	1	no	—
1140	C₄×D₄	—	5	1	no	—
1141	C₄×D₄	—	5	1	no	—
1142	C₄×D₄	—	5	1	no	—
1143	C₄×D₄	—	5	1	no	—
1144	C₄×D₄	—	5	1	no	—
1145	C₄×D₄	—	5	1	no	—
1146	C₄×D₄	—	5	1	no	—
1147	C₄×D₄	—	5	1	no	—
1148	C₄×D₄	—	5	1	no	—
1149	C₄×D₄	—	10	1	no	—
1150	C₄×D₄	—	10	1	no	—
1151	C₄×D₄	—	10	1	no	—
1152	C₄×D₄	—	10	1	no	—
1153	C₄×D₄	—	10	1	no	—
1154	C₄×D₄	—	10	1	no	—
1155	C₄×D₄	—	10	1	no	—
1156	C₄×D₄	—	10	1	no	—
1157	C₄×D₄	—	10	1	no	—
1158	C₄×D₄	—	10	1	no	—
1159	C₄×D₄	—	10	1	no	—
1160	C₄×D₄	—	10	1	no	—
1161	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1162	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1163	#117	—	2	1	no	—
1164	#117	—	5	1	no	—
1165	#117	—	5	1	no	—
1166	#117	—	5	1	no	—
1167	#117	—	5	1	no	—
1168	#117	—	10	1	no	—
1169	#117	—	10	1	no	—
1170	#117	—	10	1	no	—
1171	#117	—	10	1	no	—
1172	#117	—	10	1	no	—
1173	#117	—	10	1	no	—
1174	#117	—	10	1	no	—
1175	#117	—	10	1	no	—
1176	#117	—	10	1	no	—
1177	#117	—	10	1	no	—
1178	#117	—	10	1	no	—
1179	#117	C₂²×D₅	1	1	yes	characteristic
1180	C₂×C₄⋊C₄	—	2	1	no	—
1181	C₂×C₄⋊C₄	—	5	1	no	—
1182	C₂×C₄⋊C₄	—	5	1	no	—
1183	C₂×C₄⋊C₄	—	5	1	no	—
1184	C₂×C₄⋊C₄	—	10	1	no	—
1185	C₂×C₄⋊C₄	—	10	1	no	—
1186	C₂×C₄⋊C₄	—	10	1	no	—
1187	C₂×C₄⋊C₄	—	10	1	no	—
1188	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1189	C₂×C₂²⋊C₄	—	10	1	no	—
1190	C₂×C₂²⋊C₄	—	10	1	no	—
1191	C₂×C₂²⋊C₄	—	10	1	no	—
1192	C₂×C₄²	—	2	1	no	—
1193	C₂×C₄²	—	2	1	no	—
1194	C₂×C₄²	—	5	1	no	—
1195	C₂×C₄²	—	5	1	no	—
1196	C₂×C₄²	—	10	1	no	—
1197	C₂×C₄²	—	10	1	no	—
1198	C₂×C₄²	—	10	1	no	—
1199	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1200	#107	—	5	1	no	—
1201	#107	—	5	1	no	—
1202	#107	—	5	1	no	—
1203	#107	—	5	1	no	—
1204	#107	—	5	1	no	—
1205	#107	—	5	1	no	—
1206	#107	C₂²×D₅	1	1	yes	characteristic
1207	#107	C₂²×D₅	1	1	yes	characteristic
1208	#106	—	5	1	no	—
1209	#106	—	5	1	no	—
1210	#106	—	5	1	no	—
1211	#106	—	5	1	no	—
1212	#106	—	5	1	no	—
1213	#106	—	5	1	no	—
1214	#106	C₂²×D₅	1	1	yes	characteristic
1215	#106	C₂²×D₅	1	1	yes	characteristic
1216	C₄⋊C₈	—	5	1	no	—
1217	C₄⋊C₈	—	5	1	no	—
1218	C₄⋊C₈	—	5	1	no	—
1219	C₄⋊C₈	—	5	1	no	—
1220	C₄⋊C₈	—	5	1	no	—
1221	C₄⋊C₈	—	5	1	no	—
1222	#103	—	5	1	no	—
1223	#103	—	5	1	no	—
1224	#103	—	5	1	no	—
1225	#103	—	5	1	no	—
1226	#103	—	5	1	no	—
1227	#103	—	5	1	no	—
1228	#103	—	5	1	no	—
1229	#103	—	5	1	no	—
1230	#103	—	5	1	no	—
1231	#103	—	5	1	no	—
1232	#103	—	5	1	no	—
1233	#103	—	5	1	no	—
1234	#103	—	5	1	no	—
1235	#103	—	5	1	no	—
1236	#103	—	5	1	no	—
1237	#103	—	5	1	no	—
1238	#103	—	5	1	no	—
1239	#103	—	5	1	no	—
1240	#103	C₂²×D₅	1	1	yes	characteristic
1241	#103	C₂²×D₅	1	1	yes	characteristic
1242	#103	C₂²×D₅	1	1	yes	characteristic
1243	#103	C₂²×D₅	1	1	yes	characteristic
1244	#103	C₂²×D₅	1	1	yes	characteristic
1245	#103	C₂²×D₅	1	1	yes	characteristic
1246	#102	—	5	1	no	—
1247	#102	—	5	1	no	—
1248	#102	—	5	1	no	—
1249	#102	—	5	1	no	—
1250	#102	—	5	1	no	—
1251	#102	—	5	1	no	—
1252	#102	C₂²×D₅	1	1	yes	characteristic
1253	#102	C₂²×D₅	1	1	yes	characteristic
1254	C₂²⋊C₈	—	5	1	no	—
1255	C₂²⋊C₈	—	5	1	no	—
1256	C₂²⋊C₈	—	5	1	no	—
1257	C₂²⋊C₈	—	5	1	no	—
1258	C₂²⋊C₈	—	5	1	no	—
1259	C₂²⋊C₈	—	5	1	no	—
1260	#97	—	5	1	no	—
1261	#97	—	5	1	no	—
1262	#97	C₂²×D₅	1	1	yes	characteristic
1263	#97	C₂²×D₅	1	1	yes	characteristic
1264	C₄×C₈	—	5	1	no	—
1265	C₄×C₈	—	5	1	no	—
1266	C₄×C₈	—	5	1	no	—
1267	C₄×C₈	—	5	1	no	—
1268	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1269	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1270	C₂²×C₅	—	2	1	no	—
1271	C₂²×C₅	—	2	2	no	—
1272	C₂²×C₅	—	2	1	no	—
1273	C₂²×C₅	—	2	1	no	—
1274	C₂²×C₅	—	4	1	no	—
1275	C₂²×C₅	—	4	1	no	—
1276	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1277	C₂×D₅	—	2	1	no	—
1278	C₂×D₅	—	2	1	no	—
1279	C₂×D₅	—	2	1	no	—
1280	C₂×D₅	—	2	1	no	—
1281	C₂×D₅	—	2	1	no	—
1282	C₂×D₅	—	4	1	no	—
1283	C₂×D₅	—	4	1	no	—
1284	C₂×D₅	—	4	1	no	—
1285	C₂×D₅	—	8	4	no	—
1286	C₂×D₅	C₂×#137	1	2	yes	—
1287	C₄×C₅	—	2	1	no	—
1288	C₄×C₅	—	2	1	no	—
1289	C₄×C₅	—	2	2	no	—
1290	C₄×C₅	—	2	1	no	—
1291	C₄×C₅	—	2	1	no	—
1292	C₄×C₅	—	4	1	no	—
1293	C₄×C₅	—	4	1	no	—
1294	C₄×C₅	—	4	1	no	—
1295	C₄×C₅	—	4	1	no	—
1296	C₄×C₅	—	4	1	no	—
1297	C₄×C₅	—	4	1	no	—
1298	C₄×C₅	C₂×#137	1	2	yes	—
1299	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1300	C₄×C₅	#585	1	1	yes	characteristic
1301	Dic₅	—	2	1	no	—
1302	Dic₅	—	2	1	no	—
1303	Dic₅	—	2	1	no	—
1304	Dic₅	—	2	1	no	—
1305	Dic₅	—	2	1	no	—
1306	Dic₅	—	4	1	no	—
1307	Dic₅	—	4	1	no	—
1308	Dic₅	—	4	1	no	—
1309	Dic₅	—	4	1	no	—
1310	Dic₅	—	4	1	no	—
1311	Dic₅	—	4	1	no	—
1312	Dic₅	—	4	1	no	—
1313	Dic₅	C₂×#137	1	2	yes	—
1314	C₂⁴	—	10	1	no	—
1315	#41	—	2	2	no	—
1316	#41	—	4	1	no	—
1317	#41	—	10	4	no	—
1318	#41	—	10	2	no	—
1319	#41	—	20	1	no	—
1320	C₂×Q₈	—	2	1	no	—
1321	C₂×Q₈	—	2	2	no	—
1322	C₂×Q₈	—	4	1	no	—
1323	C₂×Q₈	—	5	1	no	—
1324	C₂×Q₈	—	5	1	no	—
1325	C₂×Q₈	—	5	1	no	—
1326	C₂×Q₈	—	5	1	no	—
1327	C₂×Q₈	—	10	1	no	—
1328	C₂×Q₈	—	10	1	no	—
1329	C₂×Q₈	—	10	1	no	—
1330	C₂×Q₈	—	10	1	no	—
1331	C₂×Q₈	—	10	1	no	—
1332	C₂×Q₈	—	10	1	no	—
1333	C₂×Q₈	—	10	2	no	—
1334	C₂×Q₈	—	10	2	no	—
1335	C₂×Q₈	—	20	1	no	—
1336	C₂×Q₈	—	20	1	no	—
1337	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1338	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1339	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1340	C₂×D₄	—	2	1	no	—
1341	C₂×D₄	—	5	1	no	—
1342	C₂×D₄	—	5	1	no	—
1343	C₂×D₄	—	5	1	no	—
1344	C₂×D₄	—	5	1	no	—
1345	C₂×D₄	—	10	1	no	—
1346	C₂×D₄	—	10	1	no	—
1347	C₂×D₄	—	10	2	no	—
1348	C₂×D₄	—	10	1	no	—
1349	C₂×D₄	—	10	1	no	—
1350	C₂×D₄	—	20	1	no	—
1351	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1352	C₂²×C₄	—	2	1	no	—
1353	C₂²×C₄	—	2	1	no	—
1354	C₂²×C₄	—	2	1	no	—
1355	C₂²×C₄	—	2	1	no	—
1356	C₂²×C₄	—	2	1	no	—
1357	C₂²×C₄	—	5	1	no	—
1358	C₂²×C₄	—	5	1	no	—
1359	C₂²×C₄	—	5	1	no	—
1360	C₂²×C₄	—	5	1	no	—
1361	C₂²×C₄	—	5	1	no	—
1362	C₂²×C₄	—	5	1	no	—
1363	C₂²×C₄	—	10	1	no	—
1364	C₂²×C₄	—	10	1	no	—
1365	C₂²×C₄	—	10	1	no	—
1366	C₂²×C₄	—	10	1	no	—
1367	C₂²×C₄	—	10	1	no	—
1368	C₂²×C₄	—	10	1	no	—
1369	C₂²×C₄	—	10	1	no	—
1370	C₂²×C₄	—	10	1	no	—
1371	C₂²×C₄	—	10	1	no	—
1372	C₂²×C₄	—	10	1	no	—
1373	C₂²×C₄	—	20	4	no	—
1374	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1375	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1376	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1377	Q₁₆	—	2	2	no	—
1378	Q₁₆	—	2	2	no	—
1379	Q₁₆	—	10	2	no	—
1380	Q₁₆	—	10	2	no	—
1381	Q₁₆	—	20	1	no	—
1382	Q₁₆	—	20	1	no	—
1383	Q₁₆	—	20	1	no	—
1384	Q₁₆	—	20	1	no	—
1385	SD₁₆	—	2	2	no	—
1386	SD₁₆	—	10	2	no	—
1387	SD₁₆	—	10	2	no	—
1388	SD₁₆	—	10	2	no	—
1389	SD₁₆	—	10	2	no	—
1390	SD₁₆	—	20	1	no	—
1391	SD₁₆	—	20	1	no	—
1392	SD₁₆	#709	1	4	yes	complemented
1393	M₁₆	—	2	2	no	—
1394	M₁₆	—	4	1	no	—
1395	M₁₆	—	10	2	no	—
1396	M₁₆	—	20	1	no	—
1397	C₂×C₈	—	5	1	no	—
1398	C₂×C₈	—	5	1	no	—
1399	C₂×C₈	—	5	1	no	—
1400	C₂×C₈	—	5	1	no	—
1401	C₂×C₈	—	10	2	no	—
1402	C₂×C₈	—	20	1	no	—
1403	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1404	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1405	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1406	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	5	1	no	—
1415	C₄⋊C₄	—	5	1	no	—
1416	C₄⋊C₄	—	5	1	no	—
1417	C₄⋊C₄	—	5	1	no	—
1418	C₄⋊C₄	—	5	1	no	—
1419	C₄⋊C₄	—	5	1	no	—
1420	C₄⋊C₄	—	5	1	no	—
1421	C₄⋊C₄	—	5	1	no	—
1422	C₄⋊C₄	—	5	1	no	—
1423	C₄⋊C₄	—	5	1	no	—
1424	C₄⋊C₄	—	10	1	no	—
1425	C₄⋊C₄	—	10	1	no	—
1426	C₄⋊C₄	—	10	1	no	—
1427	C₄⋊C₄	—	10	1	no	—
1428	C₄⋊C₄	—	10	1	no	—
1429	C₄⋊C₄	—	10	1	no	—
1430	C₄⋊C₄	—	10	1	no	—
1431	C₄⋊C₄	—	10	1	no	—
1432	C₄⋊C₄	—	10	1	no	—
1433	C₄⋊C₄	—	10	1	no	—
1434	C₄⋊C₄	—	10	1	no	—
1435	C₄⋊C₄	—	10	1	no	—
1436	C₄⋊C₄	—	10	1	no	—
1437	C₄⋊C₄	—	10	1	no	—
1438	C₄⋊C₄	—	10	1	no	—
1439	C₄⋊C₄	—	10	1	no	—
1440	C₄⋊C₄	—	10	1	no	—
1441	C₄⋊C₄	—	10	1	no	—
1442	C₄⋊C₄	—	10	1	no	—
1443	C₄⋊C₄	—	10	1	no	—
1444	C₄⋊C₄	—	10	1	no	—
1445	C₄⋊C₄	—	10	1	no	—
1446	C₄⋊C₄	—	10	1	no	—
1447	C₄⋊C₄	—	10	1	no	—
1448	C₄⋊C₄	—	10	1	no	—
1449	C₄⋊C₄	—	10	1	no	—
1450	C₄⋊C₄	—	10	1	no	—
1451	C₄⋊C₄	—	10	1	no	—
1452	C₄⋊C₄	—	10	1	no	—
1453	C₄⋊C₄	—	10	1	no	—
1454	C₄⋊C₄	—	10	1	no	—
1455	C₄⋊C₄	—	10	1	no	—
1456	C₄⋊C₄	—	10	1	no	—
1457	C₄⋊C₄	—	10	1	no	—
1458	C₄⋊C₄	—	10	1	no	—
1459	C₄⋊C₄	—	10	1	no	—
1460	C₄⋊C₄	—	10	1	no	—
1461	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1462	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1463	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1464	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	5	1	no	—
1469	C₂²⋊C₄	—	5	1	no	—
1470	C₂²⋊C₄	—	5	1	no	—
1471	C₂²⋊C₄	—	5	1	no	—
1472	C₂²⋊C₄	—	5	1	no	—
1473	C₂²⋊C₄	—	5	1	no	—
1474	C₂²⋊C₄	—	10	1	no	—
1475	C₂²⋊C₄	—	10	1	no	—
1476	C₂²⋊C₄	—	10	1	no	—
1477	C₂²⋊C₄	—	10	1	no	—
1478	C₂²⋊C₄	—	10	1	no	—
1479	C₂²⋊C₄	—	10	1	no	—
1480	C₂²⋊C₄	—	10	1	no	—
1481	C₂²⋊C₄	—	10	1	no	—
1482	C₂²⋊C₄	—	10	1	no	—
1483	C₂²⋊C₄	—	10	1	no	—
1484	C₂²⋊C₄	—	10	1	no	—
1485	C₂²⋊C₄	—	10	1	no	—
1486	C₂²⋊C₄	—	10	1	no	—
1487	C₂²⋊C₄	—	10	1	no	—
1488	C₂²⋊C₄	—	10	1	no	—
1489	C₂²⋊C₄	—	10	1	no	—
1490	C₂²⋊C₄	—	10	1	no	—
1491	C₂²⋊C₄	—	10	1	no	—
1492	C₂²⋊C₄	—	10	1	no	—
1493	C₂²⋊C₄	—	10	1	no	—
1494	C₂²⋊C₄	—	10	1	no	—
1495	C₄²	—	2	1	no	—
1496	C₄²	—	2	1	no	—
1497	C₄²	—	2	1	no	—
1498	C₄²	—	2	1	no	—
1499	C₄²	—	2	1	no	—
1500	C₄²	—	2	1	no	—
1501	C₄²	—	2	1	no	—
1502	C₄²	—	5	1	no	—
1503	C₄²	—	5	1	no	—
1504	C₄²	—	5	1	no	—
1505	C₄²	—	5	1	no	—
1506	C₄²	—	5	1	no	—
1507	C₄²	—	5	1	no	—
1508	C₄²	—	10	1	no	—
1509	C₄²	—	10	1	no	—
1510	C₄²	—	10	1	no	—
1511	C₄²	—	10	1	no	—
1512	C₄²	—	10	1	no	—
1513	C₄²	—	10	1	no	—
1514	C₄²	—	10	1	no	—
1515	C₄²	—	10	1	no	—
1516	C₄²	—	10	1	no	—
1517	C₄²	D₄×D₅	1	1	yes	characteristic
1518	C₄²	D₄×D₅	1	1	yes	characteristic
1519	C₄²	C₂³×D₅	1	1	yes	characteristic
1520	C₄²	C₂³×D₅	1	1	yes	characteristic
1521	C₂×C₅	—	4	2	no	—
1522	C₂×C₅	—	4	1	no	—
1523	C₂×C₅	D₄×#41	1	1	yes	characteristic
1524	C₂×C₅	C₂²×#137	1	1	yes	characteristic
1525	C₂×C₅	#3584	1	1	yes	characteristic
1526	D₅	—	2	2	no	—
1527	D₅	—	4	1	no	—
1528	D₅	—	8	1	no	—
1529	C₂³	—	2	1	no	—
1530	C₂³	—	5	1	no	—
1531	C₂³	—	5	1	no	—
1532	C₂³	—	10	1	no	—
1533	C₂³	—	20	2	no	—
1534	C₂³	—	20	2	no	—
1535	C₂³	—	40	1	no	—
1536	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1537	Q₈	—	2	1	no	—
1538	Q₈	—	2	1	no	—
1539	Q₈	—	2	1	no	—
1540	Q₈	—	2	1	no	—
1541	Q₈	—	2	1	no	—
1542	Q₈	—	4	2	no	—
1543	Q₈	—	10	2	no	—
1544	Q₈	—	10	1	no	—
1545	Q₈	—	10	1	no	—
1546	Q₈	—	10	1	no	—
1547	Q₈	—	10	1	no	—
1548	Q₈	—	10	1	no	—
1549	Q₈	—	10	1	no	—
1550	Q₈	—	20	2	no	—
1551	Q₈	—	20	2	no	—
1552	Q₈	—	40	1	no	—
1553	Q₈	—	40	1	no	—
1554	Q₈	—	40	1	no	—
1555	Q₈	—	40	1	no	—
1556	Q₈	C₂×#709	1	2	yes	—
1557	D₄	—	2	1	no	—
1558	D₄	—	4	2	no	—
1559	D₄	—	10	2	no	—
1560	D₄	—	10	2	no	—
1561	D₄	—	10	2	no	—
1562	D₄	—	10	1	no	—
1563	D₄	—	10	1	no	—
1564	D₄	—	20	2	no	—
1565	D₄	—	20	2	no	—
1566	D₄	—	40	1	no	—
1567	D₄	—	40	1	no	—
1568	D₄	C₂×#709	1	2	yes	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	2	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	2	1	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	4	1	no	—
1580	C₂×C₄	—	4	2	no	—
1581	C₂×C₄	—	4	2	no	—
1582	C₂×C₄	—	4	2	no	—
1583	C₂×C₄	—	5	1	no	—
1584	C₂×C₄	—	5	4	no	—
1585	C₂×C₄	—	5	1	no	—
1586	C₂×C₄	—	5	1	no	—
1587	C₂×C₄	—	5	1	no	—
1588	C₂×C₄	—	5	1	no	—
1589	C₂×C₄	—	5	1	no	—
1590	C₂×C₄	—	8	1	no	—
1591	C₂×C₄	—	8	1	no	—
1592	C₂×C₄	—	10	2	no	—
1593	C₂×C₄	—	10	1	no	—
1594	C₂×C₄	—	10	1	no	—
1595	C₂×C₄	—	10	1	no	—
1596	C₂×C₄	—	10	1	no	—
1597	C₂×C₄	—	10	1	no	—
1598	C₂×C₄	—	10	1	no	—
1599	C₂×C₄	—	10	1	no	—
1600	C₂×C₄	—	10	1	no	—
1601	C₂×C₄	—	10	1	no	—
1602	C₂×C₄	—	10	1	no	—
1603	C₂×C₄	—	10	1	no	—
1604	C₂×C₄	—	20	1	no	—
1605	C₂×C₄	—	20	1	no	—
1606	C₂×C₄	—	20	2	no	—
1607	C₂×C₄	—	20	2	no	—
1608	C₂×C₄	—	20	2	no	—
1609	C₂×C₄	—	20	2	no	—
1610	C₂×C₄	—	20	2	no	—
1611	C₂×C₄	—	20	2	no	—
1612	C₂×C₄	—	20	2	no	—
1613	C₂×C₄	—	40	1	no	—
1614	C₂×C₄	—	40	1	no	—
1615	C₂×C₄	—	40	1	no	—
1616	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1617	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1618	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1619	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1620	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1621	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1622	C₈	—	2	1	no	—
1623	C₈	—	2	1	no	—
1624	C₈	—	2	1	no	—
1625	C₈	—	10	1	no	—
1626	C₈	—	10	1	no	—
1627	C₈	—	10	1	no	—
1628	C₈	—	10	1	no	—
1629	C₈	C₂×#709	1	2	yes	—
1630	C₅	#61438	1	1	yes	characteristic, complemented, Sylow
1631	C₂²	—	2	1	no	—
1632	C₂²	—	2	2	no	—
1633	C₂²	—	2	1	no	—
1634	C₂²	—	2	1	no	—
1635	C₂²	—	4	1	no	—
1636	C₂²	—	4	1	no	—
1637	C₂²	—	5	2	no	—
1638	C₂²	—	10	1	no	—
1639	C₂²	—	10	1	no	—
1640	C₂²	—	10	1	no	—
1641	C₂²	—	10	1	no	—
1642	C₂²	—	10	1	no	—
1643	C₂²	—	20	1	no	—
1644	C₂²	—	20	1	no	—
1645	C₂²	—	20	1	no	—
1646	C₂²	—	40	4	no	—
1647	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1648	C₄	—	2	1	no	—
1649	C₄	—	2	2	no	—
1650	C₄	—	2	1	no	—
1651	C₄	—	2	1	no	—
1652	C₄	—	2	1	no	—
1653	C₄	—	4	1	no	—
1654	C₄	—	4	1	no	—
1655	C₄	—	4	1	no	—
1656	C₄	—	4	1	no	—
1657	C₄	—	4	1	no	—
1658	C₄	—	4	1	no	—
1659	C₄	—	5	2	no	—
1660	C₄	—	10	1	no	—
1661	C₄	—	10	1	no	—
1662	C₄	—	10	1	no	—
1663	C₄	—	10	1	no	—
1664	C₄	—	10	1	no	—
1665	C₄	—	20	1	no	—
1666	C₄	—	20	1	no	—
1667	C₄	—	20	1	no	—
1668	C₄	—	20	1	no	—
1669	C₄	—	20	1	no	—
1670	C₄	—	20	1	no	—
1671	C₄	—	20	1	no	—
1672	C₄	D₅×#137	1	2	yes	—
1673	C₄	C₂²×#709	1	1	yes	characteristic
1674	C₄	#66283	1	1	yes	characteristic
1675	C₂	—	4	1	no	—
1676	C₂	—	4	2	no	—
1677	C₂	—	10	2	no	—
1678	C₂	—	20	1	no	—
1679	C₂	—	40	1	no	—
1680	C₂	D₄×#709	1	1	yes	characteristic
1681	C₂	C₂×D₅×#137	1	1	yes	characteristic
1682	C₂	#10619100	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₄×C₅×#137	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10617742	C₂
hypercenter	C₄×#137	D₅
hypocenter	C₅	#61438
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ C₄×#137

Complements

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

N	H ≅ G/N	type
2. Q₈×#709	C₂	semidirect
3. C₄×C₅×#137	C₂	semidirect
4. #10615727	C₂	semidirect
5. #10615718	C₂	semidirect
6. #10614265	C₂	semidirect
7. #10614174	C₂	semidirect
8. #10611576	C₂	semidirect
9. #10611572	C₂	semidirect
10. #10611552	C₂	semidirect
11. #10611546	C₂	semidirect
12. #10611533	C₂	semidirect
13. #10611526	C₂	semidirect
14. #10611490	C₂	semidirect
15. #10611486	C₂	semidirect
16. #10611457	C₂	semidirect
17. #10611456	C₂	semidirect
18. #10611454	C₂	semidirect
19. #10611453	C₂	semidirect
20. #10611386	C₂	semidirect
21. #10611382	C₂	semidirect
22. C₄×#4061	C₂	semidirect
23. C₄×D₅×SD₁₆	C₂	semidirect
24. #10610969	C₂	semidirect
25. #10610955	C₂	semidirect
26. #10610704	C₂	semidirect
27. #10610697	C₂	semidirect
28. #10610638	C₂	semidirect
29. #10610629	C₂	semidirect
30. #10610270	C₂	semidirect
31. #10610254	C₂	semidirect
34. C₂×C₄×C₅×Q₈	C₂²	semidirect
38. Q₈×C₂²⋊D₅	C₂²	semidirect
49. #65912	C₂²	semidirect
52. C₄×Q₈×D₅	C₂²	semidirect
55. #65901	C₂²	semidirect
56. Q₈×Dic₁₀	C₂²	semidirect
72. #65845	C₂²	semidirect
79. #65804	C₂²	semidirect
80. C₅×#441	C₂²	semidirect
81. C₅×#441	C₂²	semidirect
84. C₄×C₅×Q₁₆	C₂²	semidirect
85. C₄×C₅×Q₁₆	C₂²	semidirect
88. C₅×#428	C₂²	semidirect
89. C₅×#419	C₂²	semidirect
91. C₄×C₅×M₁₆	C₂²	semidirect
94. #65517	C₂²	semidirect
97. #65478	C₂²	semidirect
100. #65475	C₂²	semidirect
102. #65471	C₂²	semidirect
103. #65470	C₂²	semidirect
110. #65426	C₂²	semidirect
111. #65426	C₂²	semidirect
114. #65417	C₂²	semidirect
115. #65417	C₂²	semidirect
118. #65320	C₂²	semidirect
119. C₄×#689	C₂²	semidirect
120. C₄×#689	C₂²	semidirect
121. C₄×#689	C₂²	semidirect
122. C₄×#689	C₂²	semidirect
127. #65311	C₂²	semidirect
128. #65311	C₂²	semidirect
129. #65309	C₂²	semidirect
134. #65285	C₂²	semidirect
135. #65285	C₂²	semidirect
136. #65260	C₂²	semidirect
138. #65214	C₂²	semidirect
143. #65166	C₂²	semidirect
144. #65165	C₂²	semidirect
145. #65164	C₂²	semidirect
146. #65163	C₂²	semidirect
148. #65156	C₂²	semidirect
150. #65150	C₂²	semidirect
152. #65143	C₂²	semidirect
153. #65142	C₂²	semidirect
156. #65105	C₂²	semidirect
157. #65103	C₂²	semidirect
165. #65094	C₂²	semidirect
166. #65091	C₂²	semidirect
168. #65088	C₂²	semidirect
170. #65086	C₂²	semidirect
172. #65083	C₂²	semidirect
173. #65082	C₂²	semidirect
174. #65082	C₂²	semidirect
175. #65081	C₂²	semidirect
176. #65081	C₂²	semidirect
177. #65078	C₂²	semidirect
191. #64992	C₂²	semidirect
192. #64991	C₂²	semidirect
193. #64990	C₂²	semidirect
194. #64990	C₂²	semidirect
195. C₄×Dic₂₀	C₂²	semidirect
196. C₄×Dic₂₀	C₂²	semidirect
199. C₄×#676	C₂²	semidirect
201. #64974	C₂²	semidirect
511. C₄×#137	D₅	semidirect
579. C₅×SD₁₆	#41	semidirect
765. C₂×C₄×Q₈	C₂×D₅	semidirect
844. #441	C₂×D₅	semidirect
845. #441	C₂×D₅	semidirect
856. C₄×Q₁₆	C₂×D₅	semidirect
857. C₄×Q₁₆	C₂×D₅	semidirect
880. #428	C₂×D₅	semidirect
883. #419	C₂×D₅	semidirect
889. C₄×M₁₆	C₂×D₅	semidirect
970. C₄×D₅	#137	semidirect
1392. SD₁₆	#709	semidirect
1630. C₅	#61438	semidirect

Maximal subgroups

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

subgroup	index
#10617742	2
Q₈×#709	2
C₄×C₅×#137	2
#10615727	2
#10615718	2
#10614265	2
#10614174	2
#10611576	2
#10611572	2
#10611552	2
#10611546	2
#10611533	2
#10611526	2
#10611490	2
#10611486	2
#10611457	2
#10611456	2
#10611454	2
#10611453	2
#10611386	2
#10611382	2
C₄×#4061	2
C₄×D₅×SD₁₆	2
#10610969	2
#10610955	2
#10610704	2
#10610697	2
#10610638	2
#10610629	2
#10610270	2
#10610254	2
#61438	5