Subgroups — #12980833

Order 1280.

1852 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618055	C₂	1	1	yes	maximal, characteristic, complemented
2	#10617718	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3108	C₂	1	1	yes	maximal, characteristic, complemented
4	#10614865	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₄×#689	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613181	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613167	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613036	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613022	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612984	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612976	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612953	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612947	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612347	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612345	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612319	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612311	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611942	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611925	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611798	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611780	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611478	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611456	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611454	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×D₅×Q₁₆	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611394	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611387	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611386	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#4062	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611042	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611007	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#529	C₂²	1	1	yes	characteristic
33	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
34	#66151	C₂²	1	1	yes	characteristic
35	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
36	C₂²×#689	C₂²	1	1	yes	characteristic
37	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic
38	C₂×#4062	C₂²	1	1	yes	characteristic
39	#66042	—	2	1	no	—
40	#66036	—	2	1	no	—
41	#66028	C₂²	1	1	yes	characteristic
42	#66019	C₂²	1	1	yes	characteristic
43	#66011	C₂²	1	1	yes	characteristic
44	#66005	C₂²	1	1	yes	characteristic
45	#65989	—	2	1	no	—
46	#65984	—	2	1	no	—
47	#65976	C₂²	1	1	yes	characteristic
48	#65966	C₂²	1	1	yes	characteristic
49	#65945	C₂²	1	1	yes	characteristic
50	#65932	C₂²	1	1	yes	characteristic
51	#65915	—	2	1	no	—
52	#65915	C₂²	1	1	yes	characteristic
53	#65914	—	2	1	no	—
54	#65914	C₂²	1	1	yes	characteristic
55	#65912	—	2	1	no	—
56	#65912	C₂²	1	1	yes	characteristic
57	#65912	C₂²	1	1	yes	characteristic
58	#65910	C₂²	1	1	yes	characteristic
59	C₄×#713	C₂²	1	1	yes	characteristic
60	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
61	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
62	#65903	C₂²	1	1	yes	characteristic
63	#65902	—	2	1	no	—
64	#65902	C₂²	1	1	yes	characteristic
65	#65891	C₂²	1	1	yes	characteristic
66	#65872	—	2	1	no	—
67	C₄×#711	—	2	1	no	—
68	C₄×#711	C₂²	1	1	yes	characteristic
69	#65862	—	2	1	no	—
70	#65851	—	2	1	no	—
71	#65847	—	2	1	no	—
72	#65847	C₂²	1	1	yes	characteristic
73	#65841	—	2	1	no	—
74	#65841	C₂²	1	1	yes	characteristic
75	#65813	—	2	1	no	—
76	#65813	C₂²	1	1	yes	characteristic
77	C₄×#709	—	2	1	no	—
78	C₄×#709	C₂²	1	1	yes	characteristic
79	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic
80	C₅×#483	C₂²	1	1	yes	characteristic
81	C₅×#480	C₂²	1	1	yes	characteristic
82	C₅×#479	C₂²	1	1	yes	characteristic
83	C₅×#479	C₂²	1	1	yes	characteristic
84	C₅×#464	C₂²	1	1	yes	characteristic
85	C₅×#464	C₂²	1	1	yes	characteristic
86	C₅×#451	C₂²	1	1	yes	characteristic
87	C₅×#448	C₂²	1	1	yes	characteristic
88	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic
89	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic
90	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
91	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
92	C₅×#431	C₂²	1	1	yes	characteristic
93	C₂×#3967	C₂²	1	1	yes	characteristic
94	#65477	C₂²	1	1	yes	characteristic
95	#65476	C₂²	1	1	yes	characteristic
96	#65475	C₂²	1	1	yes	characteristic
97	#65474	C₂²	1	1	yes	characteristic
98	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic
99	#65471	C₂²	1	1	yes	characteristic
100	#65470	C₂²	1	1	yes	characteristic
101	#65462	C₂²	1	1	yes	characteristic
102	#65460	C₂²	1	1	yes	characteristic
103	#65459	C₂²	1	1	yes	characteristic
104	#65457	C₂²	1	1	yes	characteristic
105	#65455	C₂²	1	1	yes	characteristic
106	#65451	C₂²	1	1	yes	characteristic
107	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
108	#65357	C₂²	1	1	yes	characteristic
109	#65353	C₂²	1	1	yes	characteristic
110	#65348	C₂²	1	1	yes	characteristic
111	#65345	C₂²	1	1	yes	characteristic
112	#65340	C₂²	1	1	yes	characteristic
113	#65337	C₂²	1	1	yes	characteristic
114	#65330	C₂²	1	1	yes	characteristic
115	#65327	C₂²	1	1	yes	characteristic
116	C₄×#689	C₂²	1	1	yes	characteristic
117	C₄×#689	C₂²	1	1	yes	characteristic
118	C₄×#689	C₂²	1	1	yes	characteristic
119	C₄×#689	C₂²	1	1	yes	characteristic
120	C₄×#689	C₂²	1	1	yes	characteristic
121	C₄×#689	C₂²	1	1	yes	characteristic
122	C₄×#689	C₂²	1	1	yes	characteristic
123	C₄×#689	C₂²	1	1	yes	characteristic
124	C₄×#689	C₂²	1	1	yes	characteristic
125	C₄×#688	C₂²	1	1	yes	characteristic
126	C₄×#687	C₂²	1	1	yes	characteristic
127	C₄×#686	C₂²	1	1	yes	characteristic
128	C₂×#3942	C₂²	1	1	yes	characteristic
129	C₂×#3939	C₂²	1	1	yes	characteristic
130	C₂×C₄×#168	C₂²	1	1	yes	characteristic
131	#65179	C₂²	1	1	yes	characteristic
132	#65177	C₂²	1	1	yes	characteristic
133	#65176	C₂²	1	1	yes	characteristic
134	#65171	C₂²	1	1	yes	characteristic
135	D₅×#107	C₂²	1	1	yes	characteristic
136	#65166	C₂²	1	1	yes	characteristic
137	#65163	C₂²	1	1	yes	characteristic
138	#65162	C₂²	1	1	yes	characteristic
139	#65156	C₂²	1	1	yes	characteristic
140	#65153	C₂²	1	1	yes	characteristic
141	#65151	C₂²	1	1	yes	characteristic
142	#65149	C₂²	1	1	yes	characteristic
143	#65147	C₂²	1	1	yes	characteristic
144	#65146	C₂²	1	1	yes	characteristic
145	#65143	C₂²	1	1	yes	characteristic
146	#65141	C₂²	1	1	yes	characteristic
147	#65134	C₂²	1	1	yes	characteristic
148	#65134	C₂²	1	1	yes	characteristic
149	#65123	C₂²	1	1	yes	characteristic
150	#65123	C₂²	1	1	yes	characteristic
151	#65119	C₂²	1	1	yes	characteristic
152	#65119	C₂²	1	1	yes	characteristic
153	#65118	C₂²	1	1	yes	characteristic
154	#65118	C₂²	1	1	yes	characteristic
155	#65107	C₂²	1	1	yes	characteristic
156	#65104	C₂²	1	1	yes	characteristic
157	#65103	C₂²	1	1	yes	characteristic
158	#65102	C₂²	1	1	yes	characteristic
159	#65102	C₂²	1	1	yes	characteristic
160	#65102	C₂²	1	1	yes	characteristic
161	#65099	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	#65093	C₂²	1	1	yes	characteristic
166	D₅×#103	C₂²	1	1	yes	characteristic
167	D₅×#103	C₂²	1	1	yes	characteristic
168	#65089	C₂²	1	1	yes	characteristic
169	#65088	C₂²	1	1	yes	characteristic
170	#65087	C₂²	1	1	yes	characteristic
171	#65085	C₂²	1	1	yes	characteristic
172	#65082	C₂²	1	1	yes	characteristic
173	#65081	C₂²	1	1	yes	characteristic
174	#65081	C₂²	1	1	yes	characteristic
175	#65080	C₂²	1	1	yes	characteristic
176	#65079	C₂²	1	1	yes	characteristic
177	#65079	C₂²	1	1	yes	characteristic
178	#65079	C₂²	1	1	yes	characteristic
179	#65072	C₂²	1	1	yes	characteristic
180	#65064	C₂²	1	1	yes	characteristic
181	#65063	C₂²	1	1	yes	characteristic
182	#65061	C₂²	1	1	yes	characteristic
183	#65057	C₂²	1	1	yes	characteristic
184	#65056	C₂²	1	1	yes	characteristic
185	#65048	C₂²	1	1	yes	characteristic
186	#65045	C₂²	1	1	yes	characteristic
187	#65028	C₂²	1	1	yes	characteristic
188	#65027	C₂²	1	1	yes	characteristic
189	#65025	C₂²	1	1	yes	characteristic
190	#65014	C₂²	1	1	yes	characteristic
191	#65014	C₂²	1	1	yes	characteristic
192	#65014	C₂²	1	1	yes	characteristic
193	#65014	C₂²	1	1	yes	characteristic
194	#65010	C₂²	1	1	yes	characteristic
195	C₄×Dic₂₀	C₂²	1	1	yes	characteristic
196	C₄×Dic₂₀	C₂²	1	1	yes	characteristic
197	C₄×#677	C₂²	1	1	yes	characteristic
198	C₄×#677	C₂²	1	1	yes	characteristic
199	#64974	C₂²	1	1	yes	characteristic
200	#64974	C₂²	1	1	yes	characteristic
201	C₄×C₈×D₅	C₂²	1	1	yes	characteristic
202	C₄×C₈×D₅	C₂²	1	1	yes	characteristic
203	#61433	—	5	1	no	maximal, Sylow
204	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
205	C₂×#713	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
207	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
208	C₂×#711	—	2	1	no	—
209	C₂×#711	C₂³	1	1	yes	characteristic
210	C₂×#709	—	2	1	no	—
211	C₂×#709	D₄	1	1	yes	characteristic
212	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
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	C₅×#126	—	2	1	no	—
218	C₅×#125	C₂³	1	1	yes	characteristic
219	C₅×#124	C₂³	1	1	yes	characteristic
220	C₅×#123	—	2	1	no	—
221	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₅×#121	C₂³	1	1	yes	characteristic
223	C₄×C₅×Q₈	—	2	1	no	—
224	C₄×C₅×Q₈	—	2	1	no	—
225	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
226	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
227	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
228	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
229	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
230	C₄×C₅×D₄	—	2	1	no	—
231	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
232	C₅×#117	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
237	#4093	—	2	1	no	—
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	Q₈×Dic₅	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	C₂³	1	1	yes	characteristic
249	#4090	C₂³	1	1	yes	characteristic
250	C₂×#689	—	2	4	no	—
251	C₂×#689	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	#4085	—	2	1	no	—
258	#4084	C₂³	1	1	yes	characteristic
259	#4082	C₂³	1	1	yes	characteristic
260	#4081	—	2	1	no	—
261	D₄×Dic₅	—	2	1	no	—
262	D₄×Dic₅	C₂³	1	1	yes	characteristic
263	C₂×#687	C₂³	1	1	yes	characteristic
264	C₂×#686	C₂³	1	1	yes	characteristic
265	#4076	—	2	1	no	—
266	#4076	C₂³	1	1	yes	characteristic
267	#4075	—	2	1	no	—
268	#4075	—	2	1	no	—
269	#4075	—	2	1	no	—
270	C₄×C₂²⋊D₅	—	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	D₄	1	1	yes	characteristic
276	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
277	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
278	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
279	#4072	—	2	1	no	—
280	#4072	—	2	1	no	—
281	#4072	D₄	1	1	yes	characteristic
282	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
283	#4070	—	2	1	no	—
284	#4070	C₂³	1	1	yes	characteristic
285	C₂×#683	—	2	1	no	—
286	C₂×C₄×Dic₅	—	2	1	no	—
287	C₂×C₄×Dic₅	—	2	1	no	—
288	C₂²×#168	C₂³	1	1	yes	characteristic
289	C₂²×#168	C₂³	1	1	yes	characteristic
290	D₅×Q₁₆	—	2	4	no	—
291	#4062	—	2	4	no	—
292	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
293	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
294	C₂×#677	C₂³	1	1	yes	characteristic
295	C₂×#677	C₂³	1	1	yes	characteristic
296	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
297	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
298	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
299	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
300	#4044	—	2	1	no	—
301	#4044	—	2	1	no	—
302	#4044	—	2	1	no	—
303	#4044	—	2	1	no	—
304	#4044	—	2	1	no	—
305	#4043	—	2	1	no	—
306	#4043	C₂³	1	1	yes	characteristic
307	#4043	C₂³	1	1	yes	characteristic
308	#4043	C₂³	1	1	yes	characteristic
309	#4042	—	2	1	no	—
310	#4042	—	2	1	no	—
311	#4042	—	2	1	no	—
312	#4042	—	2	1	no	—
313	#4042	—	2	1	no	—
314	#4041	—	2	1	no	—
315	#4041	C₂³	1	1	yes	characteristic
316	#4040	—	2	1	no	—
317	#4040	—	2	1	no	—
318	#4040	—	2	1	no	—
319	#4040	—	2	1	no	—
320	#4039	—	2	1	no	—
321	#4039	C₂³	1	1	yes	characteristic
322	#4038	—	2	1	no	—
323	#4038	—	2	1	no	—
324	#4038	C₂³	1	1	yes	characteristic
325	#4038	C₂³	1	1	yes	characteristic
326	D₅×C₄⋊C₄	—	2	1	no	—
327	D₅×C₄⋊C₄	—	2	1	no	—
328	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
329	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
330	#4036	—	2	1	no	—
331	#4036	—	2	1	no	—
332	#4036	—	2	1	no	—
333	#4036	C₂³	1	1	yes	characteristic
334	#4036	C₂³	1	1	yes	characteristic
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	#4034	—	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	#4033	—	2	1	no	—
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	#4031	—	2	1	no	—
355	#4030	—	2	1	no	—
356	#4029	—	2	1	no	—
357	#4029	—	2	1	no	—
358	#4027	—	2	1	no	—
359	#4027	—	2	1	no	—
360	#4027	—	2	1	no	—
361	#4025	—	2	1	no	—
362	#4025	—	2	1	no	—
363	#4025	—	2	1	no	—
364	#4024	—	2	1	no	—
365	#4024	—	2	1	no	—
366	#4024	—	2	1	no	—
367	#4024	—	2	1	no	—
368	#4024	—	2	1	no	—
369	#4023	—	2	1	no	—
370	#4023	—	2	1	no	—
371	#4023	—	2	1	no	—
372	#4022	—	2	1	no	—
373	#4022	—	2	1	no	—
374	#4022	—	2	1	no	—
375	#4021	—	2	1	no	—
376	#4021	C₂³	1	1	yes	characteristic
377	C₄×D₂₀	—	2	1	no	—
378	C₄×D₂₀	—	2	1	no	—
379	C₄×D₂₀	—	2	1	no	—
380	C₄×D₂₀	D₄	1	1	yes	characteristic
381	C₄×D₂₀	C₂³	1	1	yes	characteristic
382	C₄×D₂₀	C₂³	1	1	yes	characteristic
383	#4018	—	2	1	no	—
384	#4018	—	2	1	no	—
385	#4018	—	2	1	no	—
386	#4018	—	2	1	no	—
387	#4018	—	2	1	no	—
388	#4018	—	2	1	no	—
389	#4018	D₄	1	1	yes	characteristic
390	#4018	D₄	1	1	yes	characteristic
391	C₄²×D₅	—	2	1	no	—
392	C₄²×D₅	—	2	1	no	—
393	C₄²×D₅	—	2	1	no	—
394	C₄²×D₅	C₂³	1	1	yes	characteristic
395	C₄²×D₅	C₂³	1	1	yes	characteristic
396	#4016	—	2	1	no	—
397	#4016	C₂³	1	1	yes	characteristic
398	C₄×Dic₁₀	—	2	1	no	—
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	D₄	1	1	yes	characteristic
406	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
407	C₄×Dic₁₀	C₂³	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×C₄⋊C₈	C₂³	1	1	yes	characteristic
417	C₅×C₄⋊C₈	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×#103	C₂³	1	1	yes	characteristic
423	C₅×#103	C₂³	1	1	yes	characteristic
424	C₅×#102	C₂³	1	1	yes	characteristic
425	C₅×#102	C₂³	1	1	yes	characteristic
426	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
427	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
429	C₄×C₅×C₈	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	#3967	C₂³	1	1	yes	characteristic
435	#3967	C₂³	1	1	yes	characteristic
436	#3964	C₂³	1	1	yes	characteristic
437	#3964	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	#3946	C₂³	1	1	yes	characteristic
455	#3946	C₂³	1	1	yes	characteristic
456	#3946	C₂³	1	1	yes	characteristic
457	#3946	C₂³	1	1	yes	characteristic
458	C₈×Dic₅	C₂³	1	1	yes	characteristic
459	C₈×Dic₅	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	#3939	C₂³	1	1	yes	characteristic
473	#3939	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	#3482	—	5	1	no	—
483	#3482	—	5	1	no	—
484	#3393	—	5	1	no	—
485	#3383	—	5	1	no	—
486	#3364	—	5	1	no	—
487	#3364	—	5	1	no	—
488	#3336	—	5	1	no	—
489	#3336	—	5	1	no	—
490	#3334	—	5	1	no	—
491	#3300	—	5	1	no	—
492	#3300	—	5	1	no	—
493	#3300	—	5	1	no	—
494	#3300	—	5	1	no	—
495	#3298	—	5	1	no	—
496	#3298	—	5	1	no	—
497	D₄×Q₁₆	—	5	1	no	—
498	#3285	—	5	1	no	—
499	#3285	—	5	1	no	—
500	#3170	—	5	1	no	—
501	#3168	—	5	1	no	—
502	#3168	—	5	1	no	—
503	#3108	—	5	1	no	—
504	#3108	—	5	1	no	—
505	#3108	—	5	1	no	—
506	#3108	D₅	1	1	yes	characteristic, complemented
507	#3107	—	5	1	no	—
508	#3107	—	5	1	no	—
509	C₈×#41	—	5	1	no	—
510	C₄×#135	—	5	1	no	—
511	C₂×C₄×Q₁₆	—	5	1	no	—
512	C₂×C₄×Q₁₆	—	5	1	no	—
513	C₂×C₅×Q₈	—	2	1	no	—
514	C₂×C₅×Q₈	—	2	2	no	—
515	C₂×C₅×Q₈	—	4	1	no	—
516	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
517	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
518	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
519	C₂×C₅×D₄	—	2	1	no	—
520	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₅	—	2	1	no	—
522	C₂²×C₄×C₅	—	2	1	no	—
523	C₂²×C₄×C₅	—	2	1	no	—
524	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
525	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
526	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
527	C₂×C₂²⋊D₅	—	2	1	no	—
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂×C₂²⋊D₅	—	2	1	no	—
530	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
531	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
532	C₂²×Dic₅	—	2	1	no	—
533	C₂²×Dic₅	—	2	1	no	—
534	C₂²×Dic₅	—	2	1	no	—
535	C₂²×Dic₅	—	2	1	no	—
536	#713	—	2	2	no	—
537	#713	—	4	1	no	—
538	Q₈×D₅	—	2	2	no	—
539	Q₈×D₅	—	2	2	no	—
540	Q₈×D₅	—	4	1	no	—
541	Q₈×D₅	—	4	1	no	—
542	#711	—	2	2	no	—
543	#711	—	4	1	no	—
544	#711	—	4	4	no	—
545	#709	—	2	4	no	—
546	#709	—	4	4	no	—
547	C₂×D₂₀	—	2	1	no	—
548	C₂×D₂₀	—	2	1	no	—
549	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
550	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
551	C₂×C₄×D₅	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
559	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
560	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
561	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
562	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
563	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
564	C₂×Dic₁₀	—	2	2	no	—
565	C₂×Dic₁₀	—	2	1	no	—
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	—	4	1	no	—
571	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
572	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
573	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
574	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
575	C₅×Q₁₆	—	2	2	no	—
576	C₅×Q₁₆	—	4	1	no	—
577	C₅×SD₁₆	—	2	2	no	—
578	C₅×SD₁₆	—	4	1	no	—
579	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
580	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
581	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
582	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
583	C₅×C₄⋊C₄	—	2	1	no	—
584	C₅×C₄⋊C₄	—	2	1	no	—
585	C₅×C₄⋊C₄	—	2	1	no	—
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	C₂⁴	1	1	yes	characteristic
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×C₂²⋊C₄	—	2	1	no	—
597	C₅×C₂²⋊C₄	—	2	1	no	—
598	C₅×C₂²⋊C₄	—	2	1	no	—
599	C₅×C₂²⋊C₄	—	2	1	no	—
600	C₅×C₂²⋊C₄	—	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	C₂×D₄	1	1	yes	characteristic
607	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
608	C₄²×C₅	C₂⁴	1	1	yes	characteristic
609	C₄²×C₅	C₂⁴	1	1	yes	characteristic
610	C₂²⋊Dic₅	—	2	1	no	—
611	C₂²⋊Dic₅	—	2	1	no	—
612	C₂²⋊Dic₅	—	2	1	no	—
613	C₂²⋊Dic₅	—	2	1	no	—
614	C₂²⋊Dic₅	—	2	1	no	—
615	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
616	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
617	#689	—	2	2	no	—
618	#689	—	2	2	no	—
619	#689	—	2	2	no	—
620	#689	—	2	2	no	—
621	#689	#41	1	4	yes	complemented
622	#688	—	4	1	no	—
623	#687	—	4	1	no	—
624	#686	—	2	2	no	—
625	#685	—	2	1	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	C₂×D₄	1	1	yes	characteristic
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	C₄⋊Dic₅	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
655	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
656	C₄⋊Dic₅	C₂⁴	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	#683	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
685	#683	C₂×D₄	1	1	yes	characteristic
686	#683	C₂×D₄	1	1	yes	characteristic
687	#683	C₂×D₄	1	1	yes	characteristic
688	C₄×Dic₅	—	2	1	no	—
689	C₄×Dic₅	—	2	1	no	—
690	C₄×Dic₅	—	2	1	no	—
691	C₄×Dic₅	—	2	1	no	—
692	C₄×Dic₅	—	2	1	no	—
693	C₄×Dic₅	—	2	1	no	—
694	C₄×Dic₅	—	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	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
706	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
707	C₂×#168	—	2	2	no	—
708	C₂×#168	—	4	1	no	—
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	C₂×#168	C₂⁴	1	1	yes	characteristic
713	Dic₂₀	—	2	2	no	—
714	Dic₂₀	—	4	1	no	—
715	#677	—	2	2	no	—
716	#677	—	4	1	no	—
717	C₈×D₅	—	2	2	no	—
718	C₈×D₅	—	2	2	no	—
719	C₈×D₅	—	4	1	no	—
720	C₈×D₅	—	4	1	no	—
721	C₂×#135	—	5	1	no	—
722	C₂²×Q₁₆	—	5	1	no	—
723	C₂²×Q₁₆	—	5	1	no	—
724	#557	—	5	1	no	—
725	#557	—	5	1	no	—
726	#556	—	5	1	no	—
727	#556	—	5	1	no	—
728	#556	—	10	1	no	—
729	#556	—	10	1	no	—
730	#552	—	5	1	no	—
731	#552	—	5	1	no	—
732	#552	—	5	1	no	—
733	#552	—	5	1	no	—
734	#552	—	10	1	no	—
735	#552	—	10	1	no	—
736	#552	—	10	1	no	—
737	#552	—	10	1	no	—
738	D₄×Q₈	—	5	1	no	—
739	D₄×Q₈	—	5	1	no	—
740	#548	—	5	1	no	—
741	#548	—	5	1	no	—
742	#548	—	5	1	no	—
743	#548	—	5	1	no	—
744	#547	—	5	1	no	—
745	#547	—	5	1	no	—
746	#547	—	10	1	no	—
747	#547	—	10	1	no	—
748	#533	—	5	1	no	—
749	#533	—	5	1	no	—
750	#533	—	10	1	no	—
751	#533	—	10	1	no	—
752	#529	—	5	1	no	—
753	#529	—	5	1	no	—
754	#529	—	5	1	no	—
755	#529	—	10	1	no	—
756	#529	—	10	1	no	—
757	#529	—	10	1	no	—
758	#529	—	10	1	no	—
759	#529	C₂×D₅	1	1	yes	characteristic
760	C₄×#41	—	5	1	no	—
761	C₄×#41	—	5	1	no	—
762	C₄×#41	—	5	1	no	—
763	C₄×#41	—	10	1	no	—
764	C₄×#41	—	10	1	no	—
765	C₂×C₄×Q₈	—	5	1	no	—
766	C₂×C₄×Q₈	—	5	1	no	—
767	C₂×C₄×Q₈	—	5	1	no	—
768	C₂×C₄×Q₈	C₂×D₅	1	1	yes	characteristic
769	#500	—	5	1	no	—
770	#499	—	5	1	no	—
771	#499	—	5	1	no	—
772	#495	—	5	1	no	—
773	#495	—	5	1	no	—
774	#494	—	5	1	no	—
775	#488	—	5	1	no	—
776	#488	—	5	1	no	—
777	#488	—	5	1	no	—
778	#488	—	5	1	no	—
779	#487	—	5	1	no	—
780	#487	—	5	1	no	—
781	#485	—	5	1	no	—
782	#485	—	5	1	no	—
783	#485	—	5	1	no	—
784	#485	—	5	1	no	—
785	#483	—	5	1	no	—
786	#483	—	5	1	no	—
787	#483	—	5	1	no	—
788	#483	C₂×D₅	1	1	yes	characteristic
789	#480	—	5	1	no	—
790	#480	—	5	1	no	—
791	#480	—	5	1	no	—
792	#480	C₂×D₅	1	1	yes	characteristic
793	#479	—	5	1	no	—
794	#479	—	5	1	no	—
795	#479	—	5	1	no	—
796	#479	—	5	1	no	—
797	#479	—	5	1	no	—
798	#479	—	5	1	no	—
799	#479	C₂×D₅	1	1	yes	characteristic
800	#479	C₂×D₅	1	1	yes	characteristic
801	#475	—	5	1	no	—
802	#475	—	5	1	no	—
803	#474	—	5	1	no	—
804	#474	—	5	1	no	—
805	#467	—	5	1	no	—
806	#467	—	5	1	no	—
807	#467	—	5	1	no	—
808	#467	—	5	1	no	—
809	#467	—	5	1	no	—
810	#467	—	5	1	no	—
811	#466	—	5	1	no	—
812	#466	—	5	1	no	—
813	#465	—	5	1	no	—
814	#465	—	5	1	no	—
815	#465	—	5	1	no	—
816	#465	—	5	1	no	—
817	#464	—	5	1	no	—
818	#464	—	5	1	no	—
819	#464	—	5	1	no	—
820	#464	—	5	1	no	—
821	#464	—	5	1	no	—
822	#464	—	5	1	no	—
823	#464	C₂×D₅	1	1	yes	characteristic
824	#464	C₂×D₅	1	1	yes	characteristic
825	#462	—	5	1	no	—
826	#462	—	5	1	no	—
827	#461	—	5	1	no	—
828	#461	—	5	1	no	—
829	#452	—	5	1	no	—
830	#452	—	5	1	no	—
831	#452	—	5	1	no	—
832	#452	—	5	1	no	—
833	#451	—	5	1	no	—
834	#451	—	5	1	no	—
835	#451	—	5	1	no	—
836	#451	C₂×D₅	1	1	yes	characteristic
837	#448	—	5	1	no	—
838	#448	—	5	1	no	—
839	#448	—	5	1	no	—
840	#448	C₂×D₅	1	1	yes	characteristic
841	C₈×Q₈	—	5	1	no	—
842	C₈×Q₈	—	5	1	no	—
843	C₄×Q₁₆	—	5	1	no	—
844	C₄×Q₁₆	—	5	1	no	—
845	C₄×Q₁₆	—	5	1	no	—
846	C₄×Q₁₆	—	5	1	no	—
847	C₄×Q₁₆	—	5	1	no	—
848	C₄×Q₁₆	—	5	1	no	—
849	C₄×Q₁₆	—	5	1	no	—
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	—	5	1	no	—
857	C₄×Q₁₆	—	5	1	no	—
858	C₄×Q₁₆	—	5	1	no	—
859	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic
860	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic
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	C₂×D₅	1	1	yes	characteristic
868	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
869	C₄×D₈	—	5	1	no	—
870	C₄×D₈	—	5	1	no	—
871	C₈×D₄	—	5	1	no	—
872	C₈×D₄	—	5	1	no	—
873	C₈×D₄	—	5	1	no	—
874	C₈×D₄	—	5	1	no	—
875	C₈×D₄	—	5	1	no	—
876	C₈×D₄	—	5	1	no	—
877	#431	—	5	1	no	—
878	#431	—	5	1	no	—
879	#431	C₂×D₅	1	1	yes	characteristic
880	#427	—	5	1	no	—
881	C₂×#107	—	5	1	no	—
882	C₂×#107	—	5	1	no	—
883	#416	—	5	1	no	—
884	#416	—	5	1	no	—
885	C₂×#103	—	5	1	no	—
886	C₂×#103	—	5	1	no	—
887	C₂×#103	—	5	1	no	—
888	C₂×#103	—	5	1	no	—
889	C₂×C₄×C₈	—	5	1	no	—
890	C₂×C₄×C₈	—	5	1	no	—
891	C₂×C₄×C₈	—	5	1	no	—
892	C₂³×C₅	—	2	1	no	—
893	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
894	C₂²×D₅	—	2	1	no	—
895	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
896	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
897	C₅×Q₈	—	2	1	no	—
898	C₅×Q₈	—	2	1	no	—
899	C₅×Q₈	—	2	1	no	—
900	C₅×Q₈	—	2	1	no	—
901	C₅×Q₈	—	2	1	no	—
902	C₅×Q₈	—	4	2	no	—
903	C₅×Q₈	C₂×#41	1	2	yes	—
904	C₅×D₄	—	2	1	no	—
905	C₅×D₄	—	2	1	no	—
906	C₅×D₄	—	4	2	no	—
907	C₂×C₄×C₅	—	2	2	no	—
908	C₂×C₄×C₅	—	2	1	no	—
909	C₂×C₄×C₅	—	2	2	no	—
910	C₂×C₄×C₅	—	2	1	no	—
911	C₂×C₄×C₅	—	2	1	no	—
912	C₂×C₄×C₅	—	2	1	no	—
913	C₂×C₄×C₅	—	2	1	no	—
914	C₂×C₄×C₅	—	2	1	no	—
915	C₂×C₄×C₅	—	2	1	no	—
916	C₂×C₄×C₅	—	2	1	no	—
917	C₂×C₄×C₅	—	2	1	no	—
918	C₂×C₄×C₅	—	4	2	no	—
919	C₂×C₄×C₅	—	4	2	no	—
920	C₂×C₄×C₅	—	4	2	no	—
921	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
922	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
923	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
924	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
925	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
926	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
927	C₂²⋊D₅	—	2	2	no	—
928	C₂²⋊D₅	—	4	2	no	—
929	C₂²⋊D₅	—	4	2	no	—
930	C₂²⋊D₅	—	4	2	no	—
931	C₂²⋊D₅	#135	1	4	yes	complemented
932	C₂×Dic₅	—	2	1	no	—
933	C₂×Dic₅	—	2	1	no	—
934	C₂×Dic₅	—	2	1	no	—
935	C₂×Dic₅	—	2	1	no	—
936	C₂×Dic₅	—	2	1	no	—
937	C₂×Dic₅	—	2	1	no	—
938	C₂×Dic₅	—	2	1	no	—
939	C₂×Dic₅	—	4	2	no	—
940	C₂×Dic₅	—	4	2	no	—
941	C₂×Dic₅	—	4	2	no	—
942	C₂×Dic₅	—	4	2	no	—
943	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
944	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
945	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
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	D₂₀	—	2	2	no	—
950	D₂₀	—	2	1	no	—
951	D₂₀	—	2	1	no	—
952	D₂₀	—	4	2	no	—
953	D₂₀	—	4	2	no	—
954	C₄×D₅	—	2	2	no	—
955	C₄×D₅	—	2	2	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	—	2	2	no	—
962	C₄×D₅	—	4	2	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	—	4	2	no	—
969	Dic₁₀	—	2	1	no	—
970	Dic₁₀	—	2	2	no	—
971	Dic₁₀	—	2	1	no	—
972	Dic₁₀	—	2	1	no	—
973	Dic₁₀	—	2	1	no	—
974	Dic₁₀	—	2	1	no	—
975	Dic₁₀	—	4	2	no	—
976	Dic₁₀	—	4	2	no	—
977	Dic₁₀	—	4	2	no	—
978	Dic₁₀	—	4	2	no	—
979	Dic₁₀	—	4	2	no	—
980	Dic₁₀	C₂×#41	1	2	yes	—
981	C₅×C₈	—	2	1	no	—
982	C₅×C₈	—	2	1	no	—
983	C₅×C₈	—	2	1	no	—
984	C₅×C₈	—	2	1	no	—
985	#168	—	2	1	no	—
986	#168	—	2	1	no	—
987	#168	—	2	1	no	—
988	#168	C₂×#41	1	2	yes	—
989	C₂×#41	—	5	1	no	—
990	C₂×#41	—	5	1	no	—
991	C₂×#41	—	5	1	no	—
992	C₂×#41	—	10	1	no	—
993	C₂×#41	—	10	1	no	—
994	C₂²×Q₈	—	5	1	no	—
995	C₂²×Q₈	—	5	1	no	—
996	C₂²×Q₈	—	5	1	no	—
997	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
998	#135	—	10	4	no	—
999	C₂×Q₁₆	—	5	1	no	—
1000	C₂×Q₁₆	—	5	1	no	—
1001	C₂×Q₁₆	—	5	1	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	—	10	4	no	—
1007	C₂×Q₁₆	—	10	4	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	C₂²×D₅	1	1	yes	characteristic
1015	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1016	C₂×D₈	—	5	1	no	—
1017	C₂²×C₈	—	5	1	no	—
1018	C₂²×C₈	—	5	1	no	—
1019	C₂²×C₈	—	5	1	no	—
1020	C₂²×C₈	—	5	1	no	—
1021	C₂²×C₈	—	5	1	no	—
1022	C₂²×C₈	—	5	1	no	—
1023	C₄⋊Q₈	—	5	1	no	—
1024	C₄⋊Q₈	—	5	1	no	—
1025	C₄⋊Q₈	—	5	1	no	—
1026	C₄⋊Q₈	—	5	1	no	—
1027	C₄⋊Q₈	—	10	1	no	—
1028	C₄⋊Q₈	—	10	1	no	—
1029	C₄⋊Q₈	—	10	1	no	—
1030	C₄⋊Q₈	—	10	1	no	—
1031	#126	—	2	1	no	—
1032	#126	—	10	1	no	—
1033	#126	—	10	1	no	—
1034	#126	—	10	1	no	—
1035	#126	—	10	1	no	—
1036	#126	—	10	1	no	—
1037	#126	—	10	1	no	—
1038	#126	—	10	1	no	—
1039	#126	—	10	1	no	—
1040	#126	—	10	1	no	—
1041	#126	—	10	1	no	—
1042	#126	—	10	1	no	—
1043	#125	—	5	1	no	—
1044	#125	—	5	1	no	—
1045	#125	—	5	1	no	—
1046	#125	—	10	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	C₂²×D₅	1	1	yes	characteristic
1057	#124	—	5	1	no	—
1058	#124	—	5	1	no	—
1059	#124	—	5	1	no	—
1060	#124	—	10	1	no	—
1061	#124	—	10	1	no	—
1062	#124	—	10	1	no	—
1063	#124	—	10	1	no	—
1064	#124	C₂²×D₅	1	1	yes	characteristic
1065	#123	—	2	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	#123	—	10	1	no	—
1072	#123	—	10	1	no	—
1073	#123	—	10	1	no	—
1074	#123	—	10	1	no	—
1075	#123	—	10	1	no	—
1076	#123	—	10	1	no	—
1077	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	—	5	1	no	—
1082	C₂²⋊Q₈	—	5	1	no	—
1083	C₂²⋊Q₈	—	5	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	C₂²×D₅	1	1	yes	characteristic
1099	#121	—	5	1	no	—
1100	#121	—	5	1	no	—
1101	#121	—	5	1	no	—
1102	#121	—	10	1	no	—
1103	#121	—	10	1	no	—
1104	#121	—	10	1	no	—
1105	#121	—	10	1	no	—
1106	#121	C₂²×D₅	1	1	yes	characteristic
1107	C₄×Q₈	—	2	1	no	—
1108	C₄×Q₈	—	2	1	no	—
1109	C₄×Q₈	—	5	1	no	—
1110	C₄×Q₈	—	5	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	—	5	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	—	10	1	no	—
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	—	5	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	—	10	1	no	—
1148	C₄×D₄	—	10	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	C₂²×D₅	1	1	yes	characteristic
1161	#117	—	2	1	no	—
1162	#117	—	5	1	no	—
1163	#117	—	5	1	no	—
1164	#117	—	5	1	no	—
1165	#117	—	5	1	no	—
1166	#117	—	5	1	no	—
1167	#117	—	10	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	—	10	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1188	C₂×C₄²	—	2	1	no	—
1189	C₂×C₄²	—	5	1	no	—
1190	C₂×C₄²	—	5	1	no	—
1191	C₂×C₄²	—	10	1	no	—
1192	C₂×C₄²	—	10	1	no	—
1193	C₂×C₄²	—	10	1	no	—
1194	C₂×C₄²	—	10	1	no	—
1195	C₂×C₄²	—	10	1	no	—
1196	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1197	#107	—	5	1	no	—
1198	#107	—	5	1	no	—
1199	#107	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1206	#107	C₂²×D₅	1	1	yes	characteristic
1207	#106	—	5	1	no	—
1208	#106	—	5	1	no	—
1209	#106	—	5	1	no	—
1210	#106	—	5	1	no	—
1211	#106	C₂²×D₅	1	1	yes	characteristic
1212	#106	C₂²×D₅	1	1	yes	characteristic
1213	C₄⋊C₈	—	5	1	no	—
1214	C₄⋊C₈	—	5	1	no	—
1215	C₄⋊C₈	—	5	1	no	—
1216	C₄⋊C₈	—	5	1	no	—
1217	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1218	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1219	#103	—	5	1	no	—
1220	#103	—	5	1	no	—
1221	#103	—	5	1	no	—
1222	#103	—	5	1	no	—
1223	#103	—	5	1	no	—
1224	#103	—	5	1	no	—
1225	#103	—	5	1	no	—
1226	#103	—	5	1	no	—
1227	#103	—	5	1	no	—
1228	#103	—	5	1	no	—
1229	#103	—	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	C₂²×D₅	1	1	yes	characteristic
1238	#103	C₂²×D₅	1	1	yes	characteristic
1239	#103	C₂²×D₅	1	1	yes	characteristic
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	#102	—	5	1	no	—
1244	#102	—	5	1	no	—
1245	#102	—	5	1	no	—
1246	#102	—	5	1	no	—
1247	#102	—	5	1	no	—
1248	#102	—	5	1	no	—
1249	#102	C₂²×D₅	1	1	yes	characteristic
1250	#102	C₂²×D₅	1	1	yes	characteristic
1251	C₂²⋊C₈	—	5	1	no	—
1252	C₂²⋊C₈	—	5	1	no	—
1253	C₂²⋊C₈	—	5	1	no	—
1254	C₂²⋊C₈	—	5	1	no	—
1255	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1256	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1257	C₄×C₈	—	5	1	no	—
1258	C₄×C₈	—	5	1	no	—
1259	C₄×C₈	—	5	1	no	—
1260	C₄×C₈	—	5	1	no	—
1261	C₄×C₈	—	5	1	no	—
1262	C₄×C₈	—	5	1	no	—
1263	C₄×C₈	—	5	1	no	—
1264	C₄×C₈	—	5	1	no	—
1265	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1266	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1267	C₂²×C₅	—	2	1	no	—
1268	C₂²×C₅	—	2	1	no	—
1269	C₂²×C₅	—	4	1	no	—
1270	C₂²×C₅	—	4	1	no	—
1271	C₂²×C₅	—	4	1	no	—
1272	C₂²×C₅	C₂×#135	1	2	yes	—
1273	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1274	C₂×D₅	—	2	1	no	—
1275	C₂×D₅	—	2	1	no	—
1276	C₂×D₅	—	2	1	no	—
1277	C₂×D₅	—	2	1	no	—
1278	C₂×D₅	—	2	1	no	—
1279	C₂×D₅	—	4	1	no	—
1280	C₂×D₅	—	4	1	no	—
1281	C₂×D₅	—	4	1	no	—
1282	C₂×D₅	C₂×#135	1	2	yes	—
1283	C₄×C₅	—	2	1	no	—
1284	C₄×C₅	—	2	2	no	—
1285	C₄×C₅	—	2	1	no	—
1286	C₄×C₅	—	2	1	no	—
1287	C₄×C₅	—	2	1	no	—
1288	C₄×C₅	—	4	1	no	—
1289	C₄×C₅	—	4	1	no	—
1290	C₄×C₅	—	4	1	no	—
1291	C₄×C₅	—	4	1	no	—
1292	C₄×C₅	—	4	1	no	—
1293	C₄×C₅	—	4	1	no	—
1294	C₄×C₅	#578	1	2	yes	—
1295	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1296	C₄×C₅	#585	1	1	yes	characteristic
1297	Dic₅	—	2	2	no	—
1298	Dic₅	—	2	1	no	—
1299	Dic₅	—	2	1	no	—
1300	Dic₅	—	2	1	no	—
1301	Dic₅	—	2	1	no	—
1302	Dic₅	—	2	1	no	—
1303	Dic₅	—	4	1	no	—
1304	Dic₅	—	4	1	no	—
1305	Dic₅	—	4	1	no	—
1306	Dic₅	—	4	1	no	—
1307	Dic₅	—	4	1	no	—
1308	Dic₅	—	4	1	no	—
1309	Dic₅	C₂×#135	1	2	yes	—
1310	#41	—	10	4	no	—
1311	#41	—	10	2	no	—
1312	#41	—	10	2	no	—
1313	#41	—	20	4	no	—
1314	#41	—	20	1	no	—
1315	#41	—	20	1	no	—
1316	#41	—	20	4	no	—
1317	C₂×Q₈	—	2	1	no	—
1318	C₂×Q₈	—	2	2	no	—
1319	C₂×Q₈	—	4	1	no	—
1320	C₂×Q₈	—	5	1	no	—
1321	C₂×Q₈	—	5	1	no	—
1322	C₂×Q₈	—	5	1	no	—
1323	C₂×Q₈	—	5	1	no	—
1324	C₂×Q₈	—	10	1	no	—
1325	C₂×Q₈	—	10	1	no	—
1326	C₂×Q₈	—	10	1	no	—
1327	C₂×Q₈	—	10	1	no	—
1328	C₂×Q₈	—	10	2	no	—
1329	C₂×Q₈	—	10	1	no	—
1330	C₂×Q₈	—	10	2	no	—
1331	C₂×Q₈	—	10	2	no	—
1332	C₂×Q₈	—	20	1	no	—
1333	C₂×Q₈	—	20	1	no	—
1334	C₂×Q₈	—	20	1	no	—
1335	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1336	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1337	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1338	C₂×D₄	—	2	1	no	—
1339	C₂×D₄	—	5	1	no	—
1340	C₂×D₄	—	5	1	no	—
1341	C₂×D₄	—	5	1	no	—
1342	C₂×D₄	—	5	1	no	—
1343	C₂×D₄	—	10	1	no	—
1344	C₂×D₄	—	10	1	no	—
1345	C₂×D₄	—	10	1	no	—
1346	C₂×D₄	—	10	1	no	—
1347	C₂×D₄	—	10	1	no	—
1348	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1349	C₂²×C₄	—	2	1	no	—
1350	C₂²×C₄	—	2	1	no	—
1351	C₂²×C₄	—	2	1	no	—
1352	C₂²×C₄	—	5	1	no	—
1353	C₂²×C₄	—	5	1	no	—
1354	C₂²×C₄	—	5	1	no	—
1355	C₂²×C₄	—	5	1	no	—
1356	C₂²×C₄	—	5	1	no	—
1357	C₂²×C₄	—	5	1	no	—
1358	C₂²×C₄	—	10	1	no	—
1359	C₂²×C₄	—	10	1	no	—
1360	C₂²×C₄	—	10	1	no	—
1361	C₂²×C₄	—	10	1	no	—
1362	C₂²×C₄	—	10	1	no	—
1363	C₂²×C₄	—	10	1	no	—
1364	C₂²×C₄	—	10	1	no	—
1365	C₂²×C₄	—	10	1	no	—
1366	C₂²×C₄	—	10	1	no	—
1367	C₂²×C₄	—	10	1	no	—
1368	C₂²×C₄	—	10	1	no	—
1369	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1370	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1371	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1372	Q₁₆	—	2	2	no	—
1373	Q₁₆	—	4	1	no	—
1374	Q₁₆	—	5	4	no	—
1375	Q₁₆	—	10	2	no	—
1376	Q₁₆	—	10	2	no	—
1377	Q₁₆	—	10	2	no	—
1378	Q₁₆	—	10	2	no	—
1379	Q₁₆	—	10	2	no	—
1380	Q₁₆	—	20	1	no	—
1381	SD₁₆	—	2	2	no	—
1382	SD₁₆	—	4	1	no	—
1383	SD₁₆	—	10	2	no	—
1384	SD₁₆	—	20	1	no	—
1385	SD₁₆	—	20	1	no	—
1386	SD₁₆	—	20	1	no	—
1387	D₈	—	10	2	no	—
1388	C₂×C₈	—	5	1	no	—
1389	C₂×C₈	—	5	1	no	—
1390	C₂×C₈	—	5	1	no	—
1391	C₂×C₈	—	5	1	no	—
1392	C₂×C₈	—	10	2	no	—
1393	C₂×C₈	—	10	2	no	—
1394	C₂×C₈	—	10	2	no	—
1395	C₂×C₈	—	20	1	no	—
1396	C₂×C₈	—	20	1	no	—
1397	C₂×C₈	—	20	1	no	—
1398	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1399	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1400	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1401	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	5	1	no	—
1412	C₄⋊C₄	—	5	1	no	—
1413	C₄⋊C₄	—	5	1	no	—
1414	C₄⋊C₄	—	5	1	no	—
1415	C₄⋊C₄	—	5	1	no	—
1416	C₄⋊C₄	—	5	1	no	—
1417	C₄⋊C₄	—	5	1	no	—
1418	C₄⋊C₄	—	5	1	no	—
1419	C₄⋊C₄	—	5	1	no	—
1420	C₄⋊C₄	—	5	1	no	—
1421	C₄⋊C₄	—	10	1	no	—
1422	C₄⋊C₄	—	10	1	no	—
1423	C₄⋊C₄	—	10	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	C₂³×D₅	1	1	yes	characteristic
1455	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1456	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1457	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1458	C₂²⋊C₄	—	2	1	no	—
1459	C₂²⋊C₄	—	2	1	no	—
1460	C₂²⋊C₄	—	2	1	no	—
1461	C₂²⋊C₄	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	5	1	no	—
1464	C₂²⋊C₄	—	5	1	no	—
1465	C₂²⋊C₄	—	5	1	no	—
1466	C₂²⋊C₄	—	5	1	no	—
1467	C₂²⋊C₄	—	5	1	no	—
1468	C₂²⋊C₄	—	5	1	no	—
1469	C₂²⋊C₄	—	10	1	no	—
1470	C₂²⋊C₄	—	10	1	no	—
1471	C₂²⋊C₄	—	10	1	no	—
1472	C₂²⋊C₄	—	10	1	no	—
1473	C₂²⋊C₄	—	10	1	no	—
1474	C₂²⋊C₄	—	10	1	no	—
1475	C₂²⋊C₄	—	10	1	no	—
1476	C₂²⋊C₄	—	10	1	no	—
1477	C₂²⋊C₄	—	10	1	no	—
1478	C₂²⋊C₄	—	10	1	no	—
1479	C₂²⋊C₄	—	10	1	no	—
1480	C₂²⋊C₄	—	10	1	no	—
1481	C₂²⋊C₄	—	10	1	no	—
1482	C₂²⋊C₄	—	10	1	no	—
1483	C₂²⋊C₄	—	10	1	no	—
1484	C₂²⋊C₄	—	10	1	no	—
1485	C₂²⋊C₄	—	10	1	no	—
1486	C₂²⋊C₄	—	10	1	no	—
1487	C₂²⋊C₄	—	10	1	no	—
1488	C₂²⋊C₄	—	10	1	no	—
1489	C₂²⋊C₄	—	10	1	no	—
1490	C₄²	—	2	1	no	—
1491	C₄²	—	2	1	no	—
1492	C₄²	—	2	1	no	—
1493	C₄²	—	2	1	no	—
1494	C₄²	—	2	1	no	—
1495	C₄²	—	5	1	no	—
1496	C₄²	—	5	1	no	—
1497	C₄²	—	5	1	no	—
1498	C₄²	—	5	1	no	—
1499	C₄²	—	5	1	no	—
1500	C₄²	—	5	1	no	—
1501	C₄²	—	10	1	no	—
1502	C₄²	—	10	1	no	—
1503	C₄²	—	10	1	no	—
1504	C₄²	—	10	1	no	—
1505	C₄²	—	10	1	no	—
1506	C₄²	—	10	1	no	—
1507	C₄²	—	10	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	D₄×D₅	1	1	yes	characteristic
1515	C₄²	D₄×D₅	1	1	yes	characteristic
1516	C₄²	C₂³×D₅	1	1	yes	characteristic
1517	C₄²	C₂³×D₅	1	1	yes	characteristic
1518	C₂×C₅	—	2	2	no	—
1519	C₂×C₅	—	8	1	no	—
1520	C₂×C₅	D₄×#41	1	1	yes	characteristic
1521	C₂×C₅	C₂²×#135	1	1	yes	characteristic
1522	C₂×C₅	C₂×#578	1	1	yes	characteristic
1523	D₅	—	2	2	no	—
1524	D₅	—	4	1	no	—
1525	D₅	—	8	1	no	—
1526	C₂³	—	2	1	no	—
1527	C₂³	—	5	1	no	—
1528	C₂³	—	5	1	no	—
1529	C₂³	—	10	1	no	—
1530	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1531	Q₈	—	2	1	no	—
1532	Q₈	—	2	1	no	—
1533	Q₈	—	2	1	no	—
1534	Q₈	—	2	1	no	—
1535	Q₈	—	2	1	no	—
1536	Q₈	—	4	2	no	—
1537	Q₈	—	5	2	no	—
1538	Q₈	—	10	2	no	—
1539	Q₈	—	10	1	no	—
1540	Q₈	—	10	1	no	—
1541	Q₈	—	10	1	no	—
1542	Q₈	—	10	1	no	—
1543	Q₈	—	10	1	no	—
1544	Q₈	—	20	2	no	—
1545	Q₈	—	20	2	no	—
1546	Q₈	—	20	2	no	—
1547	Q₈	—	20	2	no	—
1548	Q₈	—	20	2	no	—
1549	Q₈	D₅×#41	1	2	yes	—
1550	D₄	—	2	1	no	—
1551	D₄	—	2	1	no	—
1552	D₄	—	4	2	no	—
1553	D₄	—	5	4	no	—
1554	D₄	—	10	2	no	—
1555	D₄	—	10	2	no	—
1556	D₄	—	10	1	no	—
1557	D₄	—	10	1	no	—
1558	D₄	—	20	2	no	—
1559	D₄	—	20	2	no	—
1560	D₄	—	20	2	no	—
1561	D₄	—	20	2	no	—
1562	D₄	—	20	2	no	—
1563	C₂×C₄	—	2	2	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	2	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	4	2	no	—
1575	C₂×C₄	—	4	2	no	—
1576	C₂×C₄	—	4	2	no	—
1577	C₂×C₄	—	5	1	no	—
1578	C₂×C₄	—	5	1	no	—
1579	C₂×C₄	—	5	1	no	—
1580	C₂×C₄	—	5	1	no	—
1581	C₂×C₄	—	5	1	no	—
1582	C₂×C₄	—	5	1	no	—
1583	C₂×C₄	—	10	2	no	—
1584	C₂×C₄	—	10	2	no	—
1585	C₂×C₄	—	10	1	no	—
1586	C₂×C₄	—	10	2	no	—
1587	C₂×C₄	—	10	2	no	—
1588	C₂×C₄	—	10	1	no	—
1589	C₂×C₄	—	10	1	no	—
1590	C₂×C₄	—	10	1	no	—
1591	C₂×C₄	—	10	1	no	—
1592	C₂×C₄	—	10	1	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	—	20	2	no	—
1599	C₂×C₄	—	20	2	no	—
1600	C₂×C₄	—	20	2	no	—
1601	C₂×C₄	—	20	2	no	—
1602	C₂×C₄	—	20	2	no	—
1603	C₂×C₄	—	20	2	no	—
1604	C₂×C₄	—	20	2	no	—
1605	C₂×C₄	—	20	2	no	—
1606	C₂×C₄	—	20	2	no	—
1607	C₂×C₄	—	20	2	no	—
1608	C₂×C₄	—	20	2	no	—
1609	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1610	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1611	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1612	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1613	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1614	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1615	C₈	—	2	1	no	—
1616	C₈	—	2	1	no	—
1617	C₈	—	2	1	no	—
1618	C₈	—	2	1	no	—
1619	C₈	—	5	2	no	—
1620	C₈	—	10	1	no	—
1621	C₈	—	10	1	no	—
1622	C₈	—	10	1	no	—
1623	C₅	#61433	1	1	yes	characteristic, complemented, Sylow
1624	C₂²	—	2	1	no	—
1625	C₂²	—	2	1	no	—
1626	C₂²	—	4	1	no	—
1627	C₂²	—	4	1	no	—
1628	C₂²	—	4	1	no	—
1629	C₂²	—	5	2	no	—
1630	C₂²	—	10	1	no	—
1631	C₂²	—	10	1	no	—
1632	C₂²	—	10	1	no	—
1633	C₂²	—	10	1	no	—
1634	C₂²	—	10	1	no	—
1635	C₂²	—	20	1	no	—
1636	C₂²	—	20	1	no	—
1637	C₂²	—	20	1	no	—
1638	C₂²	D₅×#135	1	2	yes	—
1639	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1640	C₄	—	2	1	no	—
1641	C₄	—	2	2	no	—
1642	C₄	—	2	1	no	—
1643	C₄	—	2	1	no	—
1644	C₄	—	2	1	no	—
1645	C₄	—	4	1	no	—
1646	C₄	—	4	1	no	—
1647	C₄	—	4	1	no	—
1648	C₄	—	4	1	no	—
1649	C₄	—	4	1	no	—
1650	C₄	—	4	1	no	—
1651	C₄	—	5	2	no	—
1652	C₄	—	10	1	no	—
1653	C₄	—	10	1	no	—
1654	C₄	—	10	2	no	—
1655	C₄	—	10	1	no	—
1656	C₄	—	10	1	no	—
1657	C₄	—	10	1	no	—
1658	C₄	—	20	1	no	—
1659	C₄	—	20	1	no	—
1660	C₄	—	20	1	no	—
1661	C₄	—	20	1	no	—
1662	C₄	—	20	1	no	—
1663	C₄	—	20	1	no	—
1664	C₄	#66113	1	2	yes	—
1665	C₄	C₂×D₅×#41	1	1	yes	characteristic
1666	C₄	#66283	1	1	yes	characteristic
1667	C₂	—	2	2	no	—
1668	C₂	—	8	1	no	—
1669	C₂	—	10	2	no	—
1670	C₂	—	20	1	no	—
1671	C₂	—	40	1	no	—
1672	C₂	#10617938	1	1	yes	characteristic
1673	C₂	C₂×D₅×#135	1	1	yes	characteristic
1674	C₂	C₂×#66113	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	C₅×#3108	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3108	D₅
hypocenter	C₅	#61433
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3108

Complements

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

N	H ≅ G/N	type
1. #10618055	C₂	semidirect
2. #10617718	C₂	semidirect
3. C₅×#3108	C₂	semidirect
4. #10614865	C₂	semidirect
5. C₂×C₄×#689	C₂	semidirect
6. #10613181	C₂	semidirect
7. #10613167	C₂	semidirect
8. #10613036	C₂	semidirect
9. #10613022	C₂	semidirect
10. #10612984	C₂	semidirect
11. #10612976	C₂	semidirect
12. #10612953	C₂	semidirect
13. #10612947	C₂	semidirect
14. #10612347	C₂	semidirect
15. #10612345	C₂	semidirect
16. #10612319	C₂	semidirect
17. #10612311	C₂	semidirect
18. #10611942	C₂	semidirect
19. #10611925	C₂	semidirect
20. #10611798	C₂	semidirect
21. #10611780	C₂	semidirect
22. #10611478	C₂	semidirect
23. #10611456	C₂	semidirect
24. #10611454	C₂	semidirect
25. C₄×D₅×Q₁₆	C₂	semidirect
26. #10611394	C₂	semidirect
27. #10611387	C₂	semidirect
28. #10611386	C₂	semidirect
29. C₄×#4062	C₂	semidirect
30. #10611042	C₂	semidirect
31. #10611007	C₂	semidirect
506. #3108	D₅	semidirect
621. #689	#41	semidirect
931. C₂²⋊D₅	#135	semidirect
1623. C₅	#61433	semidirect

Maximal subgroups

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

subgroup	index
#10618055	2
#10617718	2
C₅×#3108	2
#10614865	2
C₂×C₄×#689	2
#10613181	2
#10613167	2
#10613036	2
#10613022	2
#10612984	2
#10612976	2
#10612953	2
#10612947	2
#10612347	2
#10612345	2
#10612319	2
#10612311	2
#10611942	2
#10611925	2
#10611798	2
#10611780	2
#10611478	2
#10611456	2
#10611454	2
C₄×D₅×Q₁₆	2
#10611394	2
#10611387	2
#10611386	2
C₄×#4062	2
#10611042	2
#10611007	2
#61433	5