Subgroups — #12981750

Order 1280.

1834 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618455	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618428	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3173	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615198	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615191	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613634	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613631	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613563	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613545	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613434	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613429	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613406	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613401	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612658	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612645	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612615	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612608	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612408	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612407	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612381	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612381	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611617	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611603	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611579	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611566	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611397	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611393	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611380	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#4062	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610303	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610287	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#542	C₂²	1	1	yes	characteristic
33	C₅×#542	C₂²	1	1	yes	characteristic, complemented
34	C₂×#4062	C₂²	1	1	yes	characteristic
35	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
36	C₂²×#677	C₂²	1	1	yes	characteristic
37	#66068	C₂²	1	1	yes	characteristic
38	#66066	C₂²	1	1	yes	characteristic, complemented
39	#66061	C₂²	1	1	yes	characteristic
40	#66056	C₂²	1	1	yes	characteristic, complemented
41	#66040	—	2	1	no	—
42	#66038	—	2	1	no	—
43	#66036	—	2	1	no	—
44	#66036	—	2	1	no	—
45	#66015	C₂²	1	1	yes	characteristic
46	#66012	—	2	1	no	—
47	#66011	C₂²	1	1	yes	characteristic, complemented
48	#66010	C₂²	1	1	yes	characteristic
49	D₅×#124	—	2	1	no	—
50	#66005	—	2	1	no	—
51	#66005	C₂²	1	1	yes	characteristic, complemented
52	#66004	—	2	1	no	—
53	#65996	—	2	1	no	—
54	#65993	—	2	1	no	—
55	#65988	—	2	1	no	—
56	#65983	—	2	1	no	—
57	#65975	C₂²	1	1	yes	characteristic
58	#65975	C₂²	1	1	yes	characteristic, complemented
59	#65974	—	2	1	no	—
60	#65971	—	2	1	no	—
61	#65967	—	2	1	no	—
62	#65966	C₂²	1	1	yes	characteristic
63	#65964	C₂²	1	1	yes	characteristic
64	#65956	—	2	1	no	—
65	#65950	C₂²	1	1	yes	characteristic
66	#65950	C₂²	1	1	yes	characteristic
67	#65943	C₂²	1	1	yes	characteristic
68	#65932	C₂²	1	1	yes	characteristic, complemented
69	#65916	C₂²	1	1	yes	characteristic
70	#65912	C₂²	1	1	yes	characteristic, complemented
71	C₄×#713	C₂²	1	1	yes	characteristic
72	#65906	C₂²	1	1	yes	characteristic, complemented
73	#65895	C₂²	1	1	yes	characteristic, complemented
74	#65882	C₂²	1	1	yes	characteristic
75	#65879	C₂²	1	1	yes	characteristic
76	C₄×#711	C₂²	1	1	yes	characteristic, complemented
77	#65862	C₂²	1	1	yes	characteristic
78	#65855	C₂²	1	1	yes	characteristic
79	#65850	C₂²	1	1	yes	characteristic, complemented
80	C₅×#498	C₂²	1	1	yes	characteristic, complemented
81	C₅×#495	C₂²	1	1	yes	characteristic, complemented
82	C₅×#489	C₂²	1	1	yes	characteristic, complemented
83	C₅×#489	C₂²	1	1	yes	characteristic, complemented
84	C₅×#470	C₂²	1	1	yes	characteristic, complemented
85	C₅×#469	C₂²	1	1	yes	characteristic
86	C₅×#465	C₂²	1	1	yes	characteristic
87	C₅×#465	C₂²	1	1	yes	characteristic, complemented
88	C₅×#442	C₂²	1	1	yes	characteristic, complemented
89	C₅×#441	C₂²	1	1	yes	characteristic, complemented
90	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
92	C₅×#405	C₂²	1	1	yes	characteristic, complemented
93	#65476	C₂²	1	1	yes	characteristic
94	#65475	C₂²	1	1	yes	characteristic, complemented
95	#65474	C₂²	1	1	yes	characteristic, complemented
96	#65471	C₂²	1	1	yes	characteristic, complemented
97	#65464	C₂²	1	1	yes	characteristic
98	#65460	C₂²	1	1	yes	characteristic, complemented
99	#65460	C₂²	1	1	yes	characteristic, complemented
100	#65457	C₂²	1	1	yes	characteristic, complemented
101	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
102	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
103	#65447	C₂²	1	1	yes	characteristic, complemented
104	#65445	C₂²	1	1	yes	characteristic
105	#65442	C₂²	1	1	yes	characteristic, complemented
106	#65439	C₂²	1	1	yes	characteristic
107	#65420	C₂²	1	1	yes	characteristic
108	#65417	C₂²	1	1	yes	characteristic
109	#65416	C₂²	1	1	yes	characteristic, complemented
110	#65409	C₂²	1	1	yes	characteristic, complemented
111	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
112	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
113	#65395	C₂²	1	1	yes	characteristic, complemented
114	#65383	C₂²	1	1	yes	characteristic, complemented
115	#65380	C₂²	1	1	yes	characteristic, complemented
116	#65376	C₂²	1	1	yes	characteristic, complemented
117	#65373	C₂²	1	1	yes	characteristic
118	#65346	C₂²	1	1	yes	characteristic
119	#65346	C₂²	1	1	yes	characteristic, complemented
120	#65343	C₂²	1	1	yes	characteristic, complemented
121	#65343	C₂²	1	1	yes	characteristic, complemented
122	#65339	C₂²	1	1	yes	characteristic, complemented
123	#65335	C₂²	1	1	yes	characteristic
124	#65334	C₂²	1	1	yes	characteristic, complemented
125	#65334	C₂²	1	1	yes	characteristic, complemented
126	#65329	C₂²	1	1	yes	characteristic
127	#65325	C₂²	1	1	yes	characteristic
128	#65324	C₂²	1	1	yes	characteristic
129	#65324	C₂²	1	1	yes	characteristic, complemented
130	#65319	C₂²	1	1	yes	characteristic, complemented
131	C₄×#689	C₂²	1	1	yes	characteristic, complemented
132	#65315	C₂²	1	1	yes	characteristic
133	C₄×#688	C₂²	1	1	yes	characteristic, complemented
134	#65307	C₂²	1	1	yes	characteristic, complemented
135	C₄×#687	C₂²	1	1	yes	characteristic, complemented
136	#65303	C₂²	1	1	yes	characteristic, complemented
137	C₄×#686	C₂²	1	1	yes	characteristic
138	#65289	C₂²	1	1	yes	characteristic, complemented
139	#65159	C₂²	1	1	yes	characteristic
140	#65159	C₂²	1	1	yes	characteristic
141	#65156	C₂²	1	1	yes	characteristic, complemented
142	#65156	C₂²	1	1	yes	characteristic, complemented
143	#65155	C₂²	1	1	yes	characteristic
144	#65155	C₂²	1	1	yes	characteristic, complemented
145	#65153	C₂²	1	1	yes	characteristic
146	#65153	C₂²	1	1	yes	characteristic, complemented
147	#65149	C₂²	1	1	yes	characteristic, complemented
148	#65149	C₂²	1	1	yes	characteristic, complemented
149	#65144	C₂²	1	1	yes	characteristic, complemented
150	#65144	C₂²	1	1	yes	characteristic, complemented
151	#65143	C₂²	1	1	yes	characteristic, complemented
152	#65143	C₂²	1	1	yes	characteristic, complemented
153	#65141	C₂²	1	1	yes	characteristic
154	#65141	C₂²	1	1	yes	characteristic
155	#65107	C₂²	1	1	yes	characteristic
156	#65106	C₂²	1	1	yes	characteristic
157	#65105	C₂²	1	1	yes	characteristic, complemented
158	#65103	C₂²	1	1	yes	characteristic, complemented
159	#65103	C₂²	1	1	yes	characteristic, complemented
160	#65099	C₂²	1	1	yes	characteristic
161	#65096	C₂²	1	1	yes	characteristic, complemented
162	#65095	C₂²	1	1	yes	characteristic
163	#65093	C₂²	1	1	yes	characteristic
164	#65091	C₂²	1	1	yes	characteristic, complemented
165	#65087	C₂²	1	1	yes	characteristic, complemented
166	#65084	C₂²	1	1	yes	characteristic, complemented
167	#65083	C₂²	1	1	yes	characteristic, complemented
168	#65083	C₂²	1	1	yes	characteristic, complemented
169	#65081	C₂²	1	1	yes	characteristic, complemented
170	#65079	C₂²	1	1	yes	characteristic, complemented
171	#65076	C₂²	1	1	yes	characteristic
172	#65073	C₂²	1	1	yes	characteristic, complemented
173	#65073	C₂²	1	1	yes	characteristic, complemented
174	#65071	C₂²	1	1	yes	characteristic
175	#65070	C₂²	1	1	yes	characteristic, complemented
176	#65067	C₂²	1	1	yes	characteristic, complemented
177	#65065	C₂²	1	1	yes	characteristic
178	#65061	C₂²	1	1	yes	characteristic, complemented
179	#65059	C₂²	1	1	yes	characteristic
180	#65054	C₂²	1	1	yes	characteristic, complemented
181	#65051	C₂²	1	1	yes	characteristic
182	#65049	C₂²	1	1	yes	characteristic
183	#65048	C₂²	1	1	yes	characteristic, complemented
184	#65048	C₂²	1	1	yes	characteristic, complemented
185	#65046	C₂²	1	1	yes	characteristic, complemented
186	#65045	C₂²	1	1	yes	characteristic
187	#64999	C₂²	1	1	yes	characteristic
188	#64999	C₂²	1	1	yes	characteristic
189	#64999	C₂²	1	1	yes	characteristic, complemented
190	#64999	C₂²	1	1	yes	characteristic, complemented
191	#64998	C₂²	1	1	yes	characteristic, complemented
192	#64995	C₂²	1	1	yes	characteristic, complemented
193	#64994	C₂²	1	1	yes	characteristic, complemented
194	#64990	C₂²	1	1	yes	characteristic, complemented
195	C₄×#677	C₂²	1	1	yes	characteristic
196	C₄×#677	C₂²	1	1	yes	characteristic
197	C₄×#677	C₂²	1	1	yes	characteristic, complemented
198	C₄×#677	C₂²	1	1	yes	characteristic, complemented
199	#64978	C₂²	1	1	yes	characteristic, complemented
200	C₈×D₂₀	C₂²	1	1	yes	characteristic, complemented
201	C₄×C₈×D₅	C₂²	1	1	yes	characteristic, complemented
202	C₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
203	#61474	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₅	—	2	1	no	—
206	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
207	C₂×#711	C₂³	1	1	yes	characteristic
208	C₂×D₄×D₅	—	2	1	no	—
209	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
210	C₂×#709	—	2	1	no	—
211	C₂²×D₂₀	C₂³	1	1	yes	characteristic
212	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
213	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
217	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
218	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
219	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
220	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
221	C₅×#126	—	2	1	no	—
222	C₅×#126	—	2	1	no	—
223	C₅×#124	—	2	1	no	—
224	C₅×#124	—	2	1	no	—
225	C₅×#124	C₂³	1	1	yes	characteristic
226	C₅×#124	C₂³	1	1	yes	characteristic
227	C₅×#123	—	2	1	no	—
228	C₅×#123	—	2	1	no	—
229	C₅×C₂²⋊Q₈	—	2	1	no	—
230	C₅×C₂²⋊Q₈	—	2	1	no	—
231	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
232	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
233	C₅×#121	C₂³	1	1	yes	characteristic
234	C₅×#121	C₂³	1	1	yes	characteristic
235	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
236	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
237	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
238	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
239	C₅×#117	C₂³	1	1	yes	characteristic
240	#4093	—	2	1	no	—
241	#4093	—	2	1	no	—
242	#4093	—	2	1	no	—
243	#4093	C₂³	1	1	yes	characteristic
244	#4092	—	2	1	no	—
245	#4092	C₂³	1	1	yes	characteristic
246	#4092	C₂³	1	1	yes	characteristic
247	Q₈×Dic₅	—	2	1	no	—
248	Q₈×Dic₅	C₂³	1	1	yes	characteristic
249	Q₈×Dic₅	C₂³	1	1	yes	characteristic
250	#4090	—	2	1	no	—
251	#4090	—	2	1	no	—
252	#4090	C₂³	1	1	yes	characteristic
253	C₂×#689	C₂³	1	1	yes	characteristic
254	C₂×#689	C₂³	1	1	yes	characteristic
255	C₂×#688	C₂³	1	1	yes	characteristic
256	C₂×#688	C₂³	1	1	yes	characteristic
257	#4086	C₂³	1	1	yes	characteristic
258	#4085	—	2	1	no	—
259	#4085	—	2	1	no	—
260	#4085	—	2	1	no	—
261	#4084	C₂³	1	1	yes	characteristic
262	#4084	C₂³	1	1	yes	characteristic
263	#4083	—	2	1	no	—
264	#4082	—	2	1	no	—
265	#4082	—	2	1	no	—
266	#4082	C₂³	1	1	yes	characteristic
267	D₄×Dic₅	—	2	1	no	—
268	D₄×Dic₅	C₂³	1	1	yes	characteristic
269	D₄×Dic₅	C₂³	1	1	yes	characteristic
270	C₂×#687	C₂³	1	1	yes	characteristic
271	C₂×#687	C₂³	1	1	yes	characteristic
272	C₂×#686	C₂³	1	1	yes	characteristic
273	C₂×#686	C₂³	1	1	yes	characteristic
274	#4075	—	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	C₂³	1	1	yes	characteristic
279	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
280	C₂×#685	—	2	1	no	—
281	#4072	C₂³	1	1	yes	characteristic
282	#4072	C₂³	1	1	yes	characteristic
283	#4070	—	2	1	no	—
284	C₂×C₄×Dic₅	—	2	1	no	—
285	#4062	—	2	4	no	—
286	D₅×SD₁₆	—	2	4	no	—
287	C₂×#677	—	2	4	no	—
288	C₂×#677	C₂³	1	1	yes	characteristic
289	C₂×#677	C₂³	1	1	yes	characteristic
290	C₂×#677	C₂³	1	1	yes	characteristic
291	C₂×#677	C₂³	1	1	yes	characteristic
292	C₂×#676	C₂³	1	1	yes	characteristic
293	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
294	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
295	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
296	#4044	—	2	1	no	—
297	#4044	—	2	1	no	—
298	#4044	—	2	1	no	—
299	#4044	—	2	1	no	—
300	#4044	D₄	1	1	yes	characteristic
301	#4043	C₂³	1	1	yes	characteristic
302	#4043	C₂³	1	1	yes	characteristic
303	#4042	—	2	1	no	—
304	#4042	—	2	1	no	—
305	#4042	—	2	1	no	—
306	#4042	—	2	1	no	—
307	#4042	—	2	1	no	—
308	#4042	D₄	1	1	yes	characteristic
309	#4041	—	2	1	no	—
310	#4041	—	2	1	no	—
311	#4041	C₂³	1	1	yes	characteristic
312	#4041	C₂³	1	1	yes	characteristic
313	#4040	—	2	1	no	—
314	#4040	—	2	1	no	—
315	#4040	D₄	1	1	yes	characteristic
316	#4039	—	2	1	no	—
317	#4039	—	2	1	no	—
318	#4039	—	2	1	no	—
319	#4039	C₂³	1	1	yes	characteristic
320	#4039	C₂³	1	1	yes	characteristic
321	#4038	—	2	1	no	—
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	#4038	C₂³	1	1	yes	characteristic
327	#4038	C₂³	1	1	yes	characteristic
328	#4035	—	2	1	no	—
329	#4035	D₄	1	1	yes	characteristic
330	#4034	—	2	1	no	—
331	#4034	—	2	1	no	—
332	#4034	C₂³	1	1	yes	characteristic
333	#4034	C₂³	1	1	yes	characteristic
334	#4034	C₂³	1	1	yes	characteristic
335	#4034	C₂³	1	1	yes	characteristic
336	#4033	—	2	1	no	—
337	#4033	—	2	1	no	—
338	#4033	—	2	1	no	—
339	#4033	—	2	1	no	—
340	#4033	—	2	1	no	—
341	#4033	—	2	1	no	—
342	#4033	C₂³	1	1	yes	characteristic
343	#4033	C₂³	1	1	yes	characteristic
344	#4032	—	2	1	no	—
345	#4031	—	2	1	no	—
346	#4031	—	2	1	no	—
347	#4031	—	2	1	no	—
348	#4031	—	2	1	no	—
349	#4031	—	2	1	no	—
350	#4031	—	2	1	no	—
351	#4031	—	2	1	no	—
352	#4031	—	2	1	no	—
353	#4031	—	2	1	no	—
354	#4031	D₄	1	1	yes	characteristic
355	#4030	—	2	1	no	—
356	#4030	—	2	1	no	—
357	#4030	—	2	1	no	—
358	#4030	—	2	1	no	—
359	#4030	D₄	1	1	yes	characteristic
360	#4029	—	2	1	no	—
361	#4029	—	2	1	no	—
362	#4029	D₄	1	1	yes	characteristic
363	#4028	—	2	1	no	—
364	#4028	—	2	1	no	—
365	#4028	—	2	1	no	—
366	#4027	—	2	1	no	—
367	#4027	—	2	1	no	—
368	#4027	—	2	1	no	—
369	#4027	—	2	1	no	—
370	#4027	—	2	1	no	—
371	D₅×C₂²⋊C₄	—	2	1	no	—
372	D₅×C₂²⋊C₄	—	2	1	no	—
373	D₅×C₂²⋊C₄	—	2	1	no	—
374	D₅×C₂²⋊C₄	—	2	1	no	—
375	D₅×C₂²⋊C₄	—	2	1	no	—
376	#4025	—	2	1	no	—
377	#4025	—	2	1	no	—
378	#4025	—	2	1	no	—
379	#4025	—	2	1	no	—
380	#4025	—	2	1	no	—
381	#4025	D₄	1	1	yes	characteristic
382	#4024	—	2	1	no	—
383	#4024	—	2	1	no	—
384	#4024	—	2	1	no	—
385	#4024	—	2	1	no	—
386	#4023	—	2	1	no	—
387	#4023	—	2	1	no	—
388	#4023	—	2	1	no	—
389	#4023	—	2	1	no	—
390	#4023	—	2	1	no	—
391	#4023	—	2	1	no	—
392	#4022	—	2	1	no	—
393	#4021	—	2	1	no	—
394	C₄×D₂₀	—	2	1	no	—
395	C₄×D₂₀	C₂³	1	1	yes	characteristic
396	C₄×D₂₀	C₂³	1	1	yes	characteristic
397	C₄×D₂₀	C₂³	1	1	yes	characteristic
398	C₄×D₂₀	C₂³	1	1	yes	characteristic
399	C₄×D₂₀	C₂³	1	1	yes	characteristic
400	#4018	—	2	1	no	—
401	#4018	—	2	1	no	—
402	#4018	C₂³	1	1	yes	characteristic
403	C₄²×D₅	—	2	1	no	—
404	C₄²×D₅	C₂³	1	1	yes	characteristic
405	C₄×Dic₁₀	—	2	1	no	—
406	C₄×Dic₁₀	—	2	1	no	—
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×#106	C₂³	1	1	yes	characteristic
413	C₅×#106	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×#102	C₂³	1	1	yes	characteristic
421	C₅×#102	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	#3964	C₂³	1	1	yes	characteristic
433	#3964	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	#3953	C₂³	1	1	yes	characteristic
441	#3953	C₂³	1	1	yes	characteristic
442	#3952	C₂³	1	1	yes	characteristic
443	#3952	C₂³	1	1	yes	characteristic
444	#3952	C₂³	1	1	yes	characteristic
445	#3952	C₂³	1	1	yes	characteristic
446	#3950	C₂³	1	1	yes	characteristic
447	#3950	C₂³	1	1	yes	characteristic
448	#3949	C₂³	1	1	yes	characteristic
449	#3949	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	#3946	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	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	#3941	C₂³	1	1	yes	characteristic
467	#3941	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	#3935	C₂³	1	1	yes	characteristic
481	C₄×#168	C₂³	1	1	yes	characteristic
482	#3518	—	5	1	no	—
483	#3514	—	5	1	no	—
484	#3394	—	5	1	no	—
485	Q₈×SD₁₆	—	5	1	no	—
486	#3375	—	5	1	no	—
487	#3367	—	5	1	no	—
488	#3340	—	5	1	no	—
489	#3340	—	5	1	no	—
490	#3340	—	5	1	no	—
491	#3328	—	5	1	no	—
492	#3325	—	5	1	no	—
493	#3321	—	5	1	no	—
494	#3321	—	5	1	no	—
495	#3311	—	5	1	no	—
496	#3311	—	5	1	no	—
497	#3282	—	5	1	no	—
498	#3282	—	5	1	no	—
499	D₄×SD₁₆	—	5	1	no	—
500	#3173	—	5	1	no	—
501	#3173	D₅	1	1	yes	characteristic, complemented
502	#3167	—	5	1	no	—
503	#3121	—	5	1	no	—
504	#3121	—	5	1	no	—
505	#3118	—	5	1	no	—
506	#3118	—	5	1	no	—
507	#3116	—	5	1	no	—
508	#3115	—	5	1	no	—
509	#2966	—	5	1	no	—
510	#2949	—	5	1	no	—
511	#2949	—	5	1	no	—
512	C₄×#135	—	5	1	no	—
513	C₂³×D₅	—	2	1	no	—
514	C₂³×D₅	—	2	1	no	—
515	C₂×C₅×Q₈	—	2	1	no	—
516	C₂×C₅×Q₈	—	2	1	no	—
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	—	2	1	no	—
521	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
522	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₅	—	2	1	no	—
524	C₂²×C₄×C₅	—	2	1	no	—
525	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
526	C₂×C₂²⋊D₅	—	2	1	no	—
527	C₂×C₂²⋊D₅	—	2	1	no	—
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂×C₂²⋊D₅	—	2	1	no	—
530	C₂×C₂²⋊D₅	—	2	1	no	—
531	C₂×C₂²⋊D₅	—	2	1	no	—
532	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
533	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
534	C₂²×Dic₅	—	2	1	no	—
535	C₂²×Dic₅	—	2	1	no	—
536	C₂²×Dic₅	—	2	1	no	—
537	C₂²×Dic₅	—	2	1	no	—
538	#713	—	2	2	no	—
539	#713	—	4	1	no	—
540	Q₈×D₅	—	2	2	no	—
541	Q₈×D₅	—	4	1	no	—
542	Q₈×D₅	—	8	2	no	—
543	#711	—	2	2	no	—
544	#711	—	4	1	no	—
545	D₄×D₅	—	2	2	no	—
546	D₄×D₅	—	4	1	no	—
547	D₄×D₅	—	8	2	no	—
548	#709	—	8	2	no	—
549	C₂×D₂₀	—	2	2	no	—
550	C₂×D₂₀	—	2	1	no	—
551	C₂×D₂₀	—	2	1	no	—
552	C₂×D₂₀	—	2	1	no	—
553	C₂×D₂₀	—	2	1	no	—
554	C₂×D₂₀	—	4	1	no	—
555	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
556	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
557	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
558	C₂×C₄×D₅	—	2	1	no	—
559	C₂×C₄×D₅	—	2	1	no	—
560	C₂×C₄×D₅	—	2	1	no	—
561	C₂×C₄×D₅	—	2	1	no	—
562	C₂×C₄×D₅	—	2	1	no	—
563	C₂×C₄×D₅	—	2	1	no	—
564	C₂×C₄×D₅	—	2	1	no	—
565	C₂×C₄×D₅	—	2	1	no	—
566	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
567	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
568	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
569	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
570	C₂×Dic₁₀	—	2	2	no	—
571	C₂×Dic₁₀	—	2	1	no	—
572	C₂×Dic₁₀	—	2	1	no	—
573	C₂×Dic₁₀	—	2	1	no	—
574	C₂×Dic₁₀	—	2	1	no	—
575	C₂×Dic₁₀	—	2	1	no	—
576	C₂×Dic₁₀	—	2	1	no	—
577	C₂×Dic₁₀	—	4	1	no	—
578	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
579	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
580	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
581	C₅×Q₁₆	—	4	1	no	—
582	C₅×SD₁₆	—	2	2	no	—
583	C₅×SD₁₆	—	2	2	no	—
584	C₅×D₈	—	4	1	no	—
585	C₅×M₁₆	—	4	1	no	—
586	C₂×C₅×C₈	—	2	2	no	—
587	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
588	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
589	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
590	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
591	C₅×C₄⋊C₄	—	2	1	no	—
592	C₅×C₄⋊C₄	—	2	1	no	—
593	C₅×C₄⋊C₄	—	2	1	no	—
594	C₅×C₄⋊C₄	—	2	1	no	—
595	C₅×C₄⋊C₄	—	2	1	no	—
596	C₅×C₄⋊C₄	—	2	1	no	—
597	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
598	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
599	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
600	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
601	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
602	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
603	C₅×C₂²⋊C₄	—	2	1	no	—
604	C₅×C₂²⋊C₄	—	2	1	no	—
605	C₅×C₂²⋊C₄	—	2	1	no	—
606	C₅×C₂²⋊C₄	—	2	1	no	—
607	C₅×C₂²⋊C₄	—	2	1	no	—
608	C₅×C₂²⋊C₄	—	2	1	no	—
609	C₅×C₂²⋊C₄	—	2	1	no	—
610	C₅×C₂²⋊C₄	—	2	1	no	—
611	C₅×C₂²⋊C₄	—	2	1	no	—
612	C₅×C₂²⋊C₄	—	2	1	no	—
613	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
614	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
615	C₄²×C₅	—	2	1	no	—
616	C₄²×C₅	—	2	1	no	—
617	C₄²×C₅	C₂⁴	1	1	yes	characteristic
618	C₄²×C₅	C₂⁴	1	1	yes	characteristic
619	C₂²⋊Dic₅	—	2	1	no	—
620	C₂²⋊Dic₅	—	2	1	no	—
621	C₂²⋊Dic₅	—	2	1	no	—
622	C₂²⋊Dic₅	—	2	1	no	—
623	C₂²⋊Dic₅	—	2	1	no	—
624	C₂²⋊Dic₅	—	2	1	no	—
625	C₂²⋊Dic₅	—	2	1	no	—
626	C₂²⋊Dic₅	—	2	1	no	—
627	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
628	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
629	#689	—	2	2	no	—
630	#689	—	4	1	no	—
631	#688	—	2	2	no	—
632	#688	—	4	1	no	—
633	#687	—	2	2	no	—
634	#687	—	4	1	no	—
635	#686	—	2	2	no	—
636	#686	—	4	1	no	—
637	#685	—	2	1	no	—
638	#685	—	2	1	no	—
639	#685	—	2	1	no	—
640	#685	—	2	1	no	—
641	#685	—	2	1	no	—
642	#685	—	2	1	no	—
643	#685	—	2	1	no	—
644	#685	—	2	1	no	—
645	#685	—	2	1	no	—
646	#685	—	2	1	no	—
647	#685	—	2	1	no	—
648	#685	—	2	1	no	—
649	#685	—	2	1	no	—
650	#685	—	2	1	no	—
651	#685	—	2	1	no	—
652	#685	—	2	1	no	—
653	#685	—	2	1	no	—
654	#685	—	2	1	no	—
655	#685	C₂×D₄	1	1	yes	characteristic
656	#685	C₂×D₄	1	1	yes	characteristic
657	#685	C₂×D₄	1	1	yes	characteristic
658	#685	C₂×D₄	1	1	yes	characteristic
659	#685	C₂×D₄	1	1	yes	characteristic
660	#685	C₂×D₄	1	1	yes	characteristic
661	C₄⋊Dic₅	—	2	1	no	—
662	C₄⋊Dic₅	—	2	1	no	—
663	C₄⋊Dic₅	—	2	1	no	—
664	C₄⋊Dic₅	—	2	1	no	—
665	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
666	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
667	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
668	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
669	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
670	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
686	#683	C₂×D₄	1	1	yes	characteristic
687	#683	C₂×D₄	1	1	yes	characteristic
688	#683	C₂×D₄	1	1	yes	characteristic
689	#683	C₂×D₄	1	1	yes	characteristic
690	#683	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
702	C₄×Dic₅	—	2	1	no	—
703	C₄×Dic₅	—	2	1	no	—
704	C₄×Dic₅	—	2	1	no	—
705	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
706	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
707	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
708	C₄×Dic₅	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	C₂×#168	C₂⁴	1	1	yes	characteristic
713	#677	—	2	2	no	—
714	#677	—	2	2	no	—
715	#677	—	2	2	no	—
716	#677	#41	1	4	yes	complemented
717	#676	—	4	1	no	—
718	C₈×D₅	—	2	2	no	—
719	C₈×D₅	—	2	2	no	—
720	C₈×D₅	—	4	1	no	—
721	C₂×#135	—	5	1	no	—
722	C₂²×SD₁₆	—	5	1	no	—
723	C₂²×SD₁₆	—	5	1	no	—
724	#559	—	5	1	no	—
725	Q₈²	—	5	1	no	—
726	#556	—	5	1	no	—
727	#556	—	5	1	no	—
728	#556	—	5	1	no	—
729	#556	—	5	1	no	—
730	#556	—	10	1	no	—
731	#556	—	10	1	no	—
732	#556	—	10	1	no	—
733	#555	—	5	1	no	—
734	#555	—	5	1	no	—
735	#555	—	5	1	no	—
736	#555	—	10	1	no	—
737	#551	—	10	1	no	—
738	#551	—	10	1	no	—
739	D₄×Q₈	—	5	1	no	—
740	D₄×Q₈	—	5	1	no	—
741	#548	—	5	1	no	—
742	#548	—	5	1	no	—
743	#548	—	10	1	no	—
744	#546	—	5	1	no	—
745	#546	—	5	1	no	—
746	#546	—	10	1	no	—
747	D₄²	—	5	1	no	—
748	#542	—	5	1	no	—
749	#542	—	5	1	no	—
750	#542	—	10	1	no	—
751	#542	—	10	1	no	—
752	#542	C₂×D₅	1	1	yes	characteristic
753	#542	C₂×D₅	1	1	yes	characteristic, complemented
754	#538	—	10	1	no	—
755	#538	—	10	1	no	—
756	#533	—	5	1	no	—
757	#533	—	10	1	no	—
758	#532	—	5	1	no	—
759	#529	—	5	1	no	—
760	#529	—	10	1	no	—
761	#529	—	10	1	no	—
762	C₂×#124	—	10	1	no	—
763	#519	—	5	1	no	—
764	#519	—	5	1	no	—
765	#518	—	5	1	no	—
766	#518	—	5	1	no	—
767	C₄×#41	—	5	1	no	—
768	C₄×#41	—	5	1	no	—
769	#498	—	5	1	no	—
770	#498	—	5	1	no	—
771	#498	C₂×D₅	1	1	yes	characteristic, complemented
772	#495	—	5	1	no	—
773	#495	C₂×D₅	1	1	yes	characteristic, complemented
774	#492	—	5	1	no	—
775	#489	—	5	1	no	—
776	#489	—	5	1	no	—
777	#489	C₂×D₅	1	1	yes	characteristic, complemented
778	#489	C₂×D₅	1	1	yes	characteristic, complemented
779	#487	—	5	1	no	—
780	#486	—	5	1	no	—
781	#485	—	5	1	no	—
782	#485	—	5	1	no	—
783	#485	—	5	1	no	—
784	#485	—	5	1	no	—
785	#485	—	5	1	no	—
786	#485	—	5	1	no	—
787	#482	—	5	1	no	—
788	#482	—	5	1	no	—
789	#482	—	5	1	no	—
790	#482	—	5	1	no	—
791	#482	—	5	1	no	—
792	#482	—	5	1	no	—
793	#477	—	5	1	no	—
794	#477	—	5	1	no	—
795	#477	—	5	1	no	—
796	#476	—	5	1	no	—
797	#476	—	5	1	no	—
798	#476	—	5	1	no	—
799	#475	—	5	1	no	—
800	#475	—	5	1	no	—
801	#475	—	5	1	no	—
802	#474	—	5	1	no	—
803	#474	—	5	1	no	—
804	#474	—	5	1	no	—
805	#470	—	5	1	no	—
806	#470	C₂×D₅	1	1	yes	characteristic, complemented
807	#469	—	5	1	no	—
808	#469	C₂×D₅	1	1	yes	characteristic
809	#465	—	5	1	no	—
810	#465	—	5	1	no	—
811	#465	—	5	1	no	—
812	#465	—	5	1	no	—
813	#465	—	5	1	no	—
814	#465	—	5	1	no	—
815	#465	C₂×D₅	1	1	yes	characteristic
816	#465	C₂×D₅	1	1	yes	characteristic, complemented
817	#464	—	5	1	no	—
818	#464	—	5	1	no	—
819	#464	—	5	1	no	—
820	#464	—	5	1	no	—
821	#463	—	5	1	no	—
822	#463	—	5	1	no	—
823	#463	—	5	1	no	—
824	#463	—	5	1	no	—
825	#462	—	5	1	no	—
826	#461	—	5	1	no	—
827	#460	—	5	1	no	—
828	#459	—	5	1	no	—
829	#452	—	5	1	no	—
830	#452	—	5	1	no	—
831	#451	—	5	1	no	—
832	#451	—	5	1	no	—
833	#450	—	5	1	no	—
834	#450	—	5	1	no	—
835	#449	—	5	1	no	—
836	#449	—	5	1	no	—
837	#448	—	5	1	no	—
838	#448	—	5	1	no	—
839	#447	—	5	1	no	—
840	#447	—	5	1	no	—
841	#446	—	5	1	no	—
842	C₈×Q₈	—	5	1	no	—
843	#442	—	5	1	no	—
844	#442	C₂×D₅	1	1	yes	characteristic, complemented
845	#441	—	5	1	no	—
846	#441	C₂×D₅	1	1	yes	characteristic, complemented
847	#440	—	5	1	no	—
848	#440	—	5	1	no	—
849	#440	—	5	1	no	—
850	#440	—	5	1	no	—
851	#440	—	5	1	no	—
852	#440	—	5	1	no	—
853	#440	—	5	1	no	—
854	#440	—	5	1	no	—
855	C₄×Q₁₆	—	5	1	no	—
856	C₄×Q₁₆	—	5	1	no	—
857	C₄×SD₁₆	—	5	1	no	—
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	C₂×D₅	1	1	yes	characteristic, complemented
868	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
869	C₄×D₈	—	5	1	no	—
870	C₄×D₈	—	5	1	no	—
871	#436	—	5	1	no	—
872	#435	—	5	1	no	—
873	#435	—	5	1	no	—
874	C₈×D₄	—	5	1	no	—
875	C₈×D₄	—	5	1	no	—
876	C₈×D₄	—	5	1	no	—
877	#433	—	5	1	no	—
878	#433	—	5	1	no	—
879	#432	—	5	1	no	—
880	#427	—	5	1	no	—
881	#427	—	5	1	no	—
882	#427	—	5	1	no	—
883	#419	—	5	1	no	—
884	#419	—	5	1	no	—
885	#418	—	5	1	no	—
886	#418	—	5	1	no	—
887	#416	—	5	1	no	—
888	#416	—	5	1	no	—
889	#405	—	5	1	no	—
890	#405	C₂×D₅	1	1	yes	characteristic, complemented
891	C₂×C₄×C₈	—	5	1	no	—
892	C₂³×C₅	—	2	1	no	—
893	C₂³×C₅	—	2	1	no	—
894	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
895	C₂²×D₅	—	2	1	no	—
896	C₂²×D₅	—	2	1	no	—
897	C₂²×D₅	—	4	2	no	—
898	C₂²×D₅	—	4	2	no	—
899	C₂²×D₅	—	8	1	no	—
900	C₂²×D₅	—	8	1	no	—
901	C₂²×D₅	—	8	1	no	—
902	C₂²×D₅	—	8	1	no	—
903	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
904	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
905	C₅×Q₈	—	2	1	no	—
906	C₅×Q₈	—	2	1	no	—
907	C₅×Q₈	—	2	1	no	—
908	C₅×Q₈	—	2	1	no	—
909	C₅×Q₈	—	8	1	no	—
910	C₅×Q₈	—	8	1	no	—
911	C₅×D₄	—	2	1	no	—
912	C₅×D₄	—	2	1	no	—
913	C₅×D₄	—	2	1	no	—
914	C₅×D₄	—	2	1	no	—
915	C₅×D₄	—	8	1	no	—
916	C₅×D₄	—	8	1	no	—
917	C₂×C₄×C₅	—	2	1	no	—
918	C₂×C₄×C₅	—	2	1	no	—
919	C₂×C₄×C₅	—	2	1	no	—
920	C₂×C₄×C₅	—	2	1	no	—
921	C₂×C₄×C₅	—	2	1	no	—
922	C₂×C₄×C₅	—	2	1	no	—
923	C₂×C₄×C₅	—	2	1	no	—
924	C₂×C₄×C₅	—	2	1	no	—
925	C₂×C₄×C₅	—	8	1	no	—
926	C₂×C₄×C₅	—	8	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
931	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
932	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
933	C₂²⋊D₅	—	2	2	no	—
934	C₂²⋊D₅	—	4	1	no	—
935	C₂²⋊D₅	—	4	2	no	—
936	C₂²⋊D₅	—	4	2	no	—
937	C₂²⋊D₅	—	4	2	no	—
938	C₂²⋊D₅	—	8	1	no	—
939	C₂²⋊D₅	—	8	1	no	—
940	C₂²⋊D₅	—	8	1	no	—
941	C₂×Dic₅	—	2	1	no	—
942	C₂×Dic₅	—	2	1	no	—
943	C₂×Dic₅	—	2	1	no	—
944	C₂×Dic₅	—	2	1	no	—
945	C₂×Dic₅	—	2	1	no	—
946	C₂×Dic₅	—	2	1	no	—
947	C₂×Dic₅	—	4	2	no	—
948	C₂×Dic₅	—	4	2	no	—
949	C₂×Dic₅	—	4	2	no	—
950	C₂×Dic₅	—	8	1	no	—
951	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
952	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
953	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
954	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
955	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
956	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
957	D₂₀	—	2	1	no	—
958	D₂₀	—	2	1	no	—
959	D₂₀	—	2	1	no	—
960	D₂₀	—	4	1	no	—
961	D₂₀	—	4	2	no	—
962	D₂₀	—	4	2	no	—
963	D₂₀	—	8	1	no	—
964	D₂₀	—	8	1	no	—
965	D₂₀	C₂×#41	1	2	yes	—
966	C₄×D₅	—	2	1	no	—
967	C₄×D₅	—	2	1	no	—
968	C₄×D₅	—	2	1	no	—
969	C₄×D₅	—	2	1	no	—
970	C₄×D₅	—	2	2	no	—
971	C₄×D₅	—	4	1	no	—
972	C₄×D₅	—	4	2	no	—
973	C₄×D₅	—	4	2	no	—
974	C₄×D₅	—	4	2	no	—
975	C₄×D₅	—	8	1	no	—
976	C₄×D₅	—	8	1	no	—
977	C₄×D₅	—	8	1	no	—
978	C₄×D₅	—	8	1	no	—
979	C₄×D₅	—	8	1	no	—
980	Dic₁₀	—	2	1	no	—
981	Dic₁₀	—	2	2	no	—
982	Dic₁₀	—	2	1	no	—
983	Dic₁₀	—	2	1	no	—
984	Dic₁₀	—	4	2	no	—
985	Dic₁₀	—	4	2	no	—
986	Dic₁₀	—	4	2	no	—
987	Dic₁₀	—	8	1	no	—
988	Dic₁₀	—	8	1	no	—
989	Dic₁₀	—	8	1	no	—
990	Dic₁₀	C₂×#41	1	2	yes	—
991	C₅×C₈	—	2	1	no	—
992	C₅×C₈	—	2	1	no	—
993	C₅×C₈	—	2	1	no	—
994	C₅×C₈	C₂×#41	1	2	yes	—
995	#168	—	2	1	no	—
996	#168	—	2	1	no	—
997	#168	—	2	1	no	—
998	#168	—	2	1	no	—
999	C₂×#41	—	5	1	no	—
1000	C₂×#41	—	5	1	no	—
1001	C₂×#41	—	10	1	no	—
1002	C₂²×Q₈	—	5	1	no	—
1003	C₂²×Q₈	—	5	1	no	—
1004	C₂²×Q₈	—	10	1	no	—
1005	C₂²×D₄	—	5	1	no	—
1006	C₂²×D₄	—	5	1	no	—
1007	C₂²×D₄	—	10	1	no	—
1008	#135	—	10	4	no	—
1009	C₂×Q₁₆	—	5	1	no	—
1010	C₂×Q₁₆	—	5	1	no	—
1011	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1017	C₂×SD₁₆	—	5	1	no	—
1018	C₂×SD₁₆	—	5	1	no	—
1019	C₂×SD₁₆	—	5	1	no	—
1020	C₂×SD₁₆	—	10	4	no	—
1021	C₂×SD₁₆	—	10	4	no	—
1022	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1023	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1024	C₂×D₈	—	5	1	no	—
1025	C₂×D₈	—	5	1	no	—
1026	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1027	C₂×M₁₆	—	5	1	no	—
1028	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1029	C₂²×C₈	—	5	1	no	—
1030	C₂²×C₈	—	5	1	no	—
1031	C₂²×C₈	—	5	1	no	—
1032	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1033	C₄⋊Q₈	—	5	1	no	—
1034	C₄⋊Q₈	—	5	1	no	—
1035	C₄⋊Q₈	—	5	1	no	—
1036	C₄⋊Q₈	—	5	1	no	—
1037	C₄⋊Q₈	—	5	1	no	—
1038	C₄⋊Q₈	—	10	1	no	—
1039	C₄⋊Q₈	—	10	1	no	—
1040	C₄⋊Q₈	—	10	1	no	—
1041	C₄⋊Q₈	—	10	1	no	—
1042	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1043	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1044	#127	—	5	1	no	—
1045	#126	—	2	1	no	—
1046	#126	—	2	1	no	—
1047	#126	—	5	1	no	—
1048	#126	—	5	1	no	—
1049	#126	—	10	1	no	—
1050	#126	—	10	1	no	—
1051	#126	—	10	1	no	—
1052	#126	—	10	1	no	—
1053	#126	—	10	1	no	—
1054	#126	—	10	1	no	—
1055	#126	—	10	1	no	—
1056	#126	—	10	1	no	—
1057	#126	—	10	1	no	—
1058	#126	—	10	1	no	—
1059	#125	—	5	1	no	—
1060	#125	—	10	1	no	—
1061	#124	—	2	1	no	—
1062	#124	—	2	1	no	—
1063	#124	—	5	1	no	—
1064	#124	—	5	1	no	—
1065	#124	—	5	1	no	—
1066	#124	—	10	1	no	—
1067	#124	—	10	1	no	—
1068	#124	—	10	1	no	—
1069	#124	—	10	1	no	—
1070	#124	—	10	1	no	—
1071	#124	—	10	1	no	—
1072	#124	—	10	1	no	—
1073	#124	—	10	1	no	—
1074	#124	—	10	1	no	—
1075	#124	—	10	1	no	—
1076	#124	—	10	1	no	—
1077	#124	—	10	1	no	—
1078	#124	—	10	1	no	—
1079	#124	—	10	1	no	—
1080	#124	—	10	1	no	—
1081	#124	C₂²×D₅	1	1	yes	characteristic
1082	#124	C₂²×D₅	1	1	yes	characteristic
1083	#123	—	2	1	no	—
1084	#123	—	2	1	no	—
1085	#123	—	5	1	no	—
1086	#123	—	5	1	no	—
1087	#123	—	10	1	no	—
1088	#123	—	10	1	no	—
1089	#123	—	10	1	no	—
1090	#123	—	10	1	no	—
1091	#123	—	10	1	no	—
1092	#123	—	10	1	no	—
1093	C₂²⋊Q₈	—	2	1	no	—
1094	C₂²⋊Q₈	—	2	1	no	—
1095	C₂²⋊Q₈	—	5	1	no	—
1096	C₂²⋊Q₈	—	5	1	no	—
1097	C₂²⋊Q₈	—	5	1	no	—
1098	C₂²⋊Q₈	—	5	1	no	—
1099	C₂²⋊Q₈	—	5	1	no	—
1100	C₂²⋊Q₈	—	10	1	no	—
1101	C₂²⋊Q₈	—	10	1	no	—
1102	C₂²⋊Q₈	—	10	1	no	—
1103	C₂²⋊Q₈	—	10	1	no	—
1104	C₂²⋊Q₈	—	10	1	no	—
1105	C₂²⋊Q₈	—	10	1	no	—
1106	C₂²⋊Q₈	—	10	1	no	—
1107	C₂²⋊Q₈	—	10	1	no	—
1108	C₂²⋊Q₈	—	10	1	no	—
1109	C₂²⋊Q₈	—	10	1	no	—
1110	C₂²⋊Q₈	—	10	1	no	—
1111	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1112	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1113	#121	—	5	1	no	—
1114	#121	—	5	1	no	—
1115	#121	—	5	1	no	—
1116	#121	—	5	1	no	—
1117	#121	—	5	1	no	—
1118	#121	—	10	1	no	—
1119	#121	—	10	1	no	—
1120	#121	—	10	1	no	—
1121	#121	—	10	1	no	—
1122	#121	—	10	1	no	—
1123	#121	—	10	1	no	—
1124	#121	—	10	1	no	—
1125	#121	—	10	1	no	—
1126	#121	—	10	1	no	—
1127	#121	C₂²×D₅	1	1	yes	characteristic
1128	#121	C₂²×D₅	1	1	yes	characteristic
1129	#120	—	10	1	no	—
1130	#120	—	10	1	no	—
1131	#120	—	10	1	no	—
1132	#120	—	10	1	no	—
1133	C₄×Q₈	—	5	1	no	—
1134	C₄×Q₈	—	5	1	no	—
1135	C₄×Q₈	—	5	1	no	—
1136	C₄×Q₈	—	5	1	no	—
1137	C₄×Q₈	—	5	1	no	—
1138	C₄×Q₈	—	5	1	no	—
1139	C₄×Q₈	—	5	1	no	—
1140	C₄×Q₈	—	5	1	no	—
1141	C₄×Q₈	—	5	1	no	—
1142	C₄×Q₈	—	10	1	no	—
1143	C₄×Q₈	—	10	1	no	—
1144	C₄×Q₈	—	10	1	no	—
1145	C₄×Q₈	—	10	1	no	—
1146	C₄×Q₈	—	10	1	no	—
1147	C₄×Q₈	—	10	1	no	—
1148	C₄×Q₈	—	10	1	no	—
1149	C₄×Q₈	—	10	1	no	—
1150	C₄×Q₈	—	10	1	no	—
1151	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1152	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1153	C₄×D₄	—	5	1	no	—
1154	C₄×D₄	—	5	1	no	—
1155	C₄×D₄	—	5	1	no	—
1156	C₄×D₄	—	5	1	no	—
1157	C₄×D₄	—	5	1	no	—
1158	C₄×D₄	—	5	1	no	—
1159	C₄×D₄	—	5	1	no	—
1160	C₄×D₄	—	5	1	no	—
1161	C₄×D₄	—	5	1	no	—
1162	C₄×D₄	—	5	1	no	—
1163	C₄×D₄	—	5	1	no	—
1164	C₄×D₄	—	10	1	no	—
1165	C₄×D₄	—	10	1	no	—
1166	C₄×D₄	—	10	1	no	—
1167	C₄×D₄	—	10	1	no	—
1168	C₄×D₄	—	10	1	no	—
1169	C₄×D₄	—	10	1	no	—
1170	C₄×D₄	—	10	1	no	—
1171	C₄×D₄	—	10	1	no	—
1172	C₄×D₄	—	10	1	no	—
1173	C₄×D₄	—	10	1	no	—
1174	C₄×D₄	—	10	1	no	—
1175	C₄×D₄	—	10	1	no	—
1176	C₄×D₄	—	10	1	no	—
1177	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1178	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1179	#117	—	5	1	no	—
1180	#117	—	5	1	no	—
1181	#117	—	5	1	no	—
1182	#117	—	5	1	no	—
1183	#117	—	5	1	no	—
1184	#117	—	5	1	no	—
1185	#117	—	5	1	no	—
1186	#117	—	10	1	no	—
1187	#117	—	10	1	no	—
1188	#117	—	10	1	no	—
1189	#117	—	10	1	no	—
1190	#117	—	10	1	no	—
1191	#117	—	10	1	no	—
1192	#117	—	10	1	no	—
1193	#117	—	10	1	no	—
1194	#117	—	10	1	no	—
1195	#117	—	10	1	no	—
1196	#117	—	10	1	no	—
1197	#117	C₂²×D₅	1	1	yes	characteristic
1198	C₂×C₂²⋊C₄	—	10	1	no	—
1199	C₂×C₂²⋊C₄	—	10	1	no	—
1200	C₂×C₂²⋊C₄	—	10	1	no	—
1201	C₂×C₂²⋊C₄	—	10	1	no	—
1202	C₂×C₂²⋊C₄	—	10	1	no	—
1203	C₂×C₂²⋊C₄	—	10	1	no	—
1204	C₂×C₄²	—	5	1	no	—
1205	C₂×C₄²	—	10	1	no	—
1206	C₂×C₄²	—	10	1	no	—
1207	#107	—	5	1	no	—
1208	#107	—	5	1	no	—
1209	#107	—	5	1	no	—
1210	#107	—	5	1	no	—
1211	#107	—	5	1	no	—
1212	#107	—	5	1	no	—
1213	#106	—	5	1	no	—
1214	#106	—	5	1	no	—
1215	#106	—	5	1	no	—
1216	#106	—	5	1	no	—
1217	#106	—	5	1	no	—
1218	#106	—	5	1	no	—
1219	#106	C₂²×D₅	1	1	yes	characteristic
1220	#106	C₂²×D₅	1	1	yes	characteristic
1221	#106	C₂²×D₅	1	1	yes	characteristic
1222	#106	C₂²×D₅	1	1	yes	characteristic
1223	C₄⋊C₈	—	5	1	no	—
1224	C₄⋊C₈	—	5	1	no	—
1225	C₄⋊C₈	—	5	1	no	—
1226	C₄⋊C₈	—	5	1	no	—
1227	C₄⋊C₈	—	5	1	no	—
1228	C₄⋊C₈	—	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	—	5	1	no	—
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	#102	—	5	1	no	—
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	—	5	1	no	—
1253	#102	—	5	1	no	—
1254	#102	—	5	1	no	—
1255	#102	—	5	1	no	—
1256	#102	—	5	1	no	—
1257	#102	C₂²×D₅	1	1	yes	characteristic
1258	#102	C₂²×D₅	1	1	yes	characteristic
1259	#102	C₂²×D₅	1	1	yes	characteristic
1260	#102	C₂²×D₅	1	1	yes	characteristic
1261	C₂²⋊C₈	—	5	1	no	—
1262	C₂²⋊C₈	—	5	1	no	—
1263	C₂²⋊C₈	—	5	1	no	—
1264	C₂²⋊C₈	—	5	1	no	—
1265	C₂²⋊C₈	—	5	1	no	—
1266	C₂²⋊C₈	—	5	1	no	—
1267	#97	—	5	1	no	—
1268	#97	—	5	1	no	—
1269	#97	C₂²×D₅	1	1	yes	characteristic
1270	#97	C₂²×D₅	1	1	yes	characteristic
1271	C₄×C₈	—	5	1	no	—
1272	C₄×C₈	—	5	1	no	—
1273	C₄×C₈	—	5	1	no	—
1274	C₄×C₈	—	5	1	no	—
1275	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1276	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1277	C₂²×C₅	—	2	1	no	—
1278	C₂²×C₅	—	2	1	no	—
1279	C₂²×C₅	—	2	1	no	—
1280	C₂²×C₅	—	4	1	no	—
1281	C₂²×C₅	—	4	1	no	—
1282	C₂²×C₅	—	4	1	no	—
1283	C₂²×C₅	—	4	1	no	—
1284	C₂²×C₅	—	4	1	no	—
1285	C₂²×C₅	—	4	1	no	—
1286	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1287	C₂×D₅	—	2	1	no	—
1288	C₂×D₅	—	2	1	no	—
1289	C₂×D₅	—	2	1	no	—
1290	C₂×D₅	—	2	1	no	—
1291	C₂×D₅	—	2	2	no	—
1292	C₂×D₅	—	2	1	no	—
1293	C₂×D₅	—	2	1	no	—
1294	C₂×D₅	—	4	1	no	—
1295	C₂×D₅	—	4	1	no	—
1296	C₂×D₅	—	4	1	no	—
1297	C₂×D₅	—	4	1	no	—
1298	C₂×D₅	—	4	1	no	—
1299	C₂×D₅	—	16	2	no	—
1300	C₂×D₅	—	16	2	no	—
1301	C₄×C₅	—	2	1	no	—
1302	C₄×C₅	—	2	1	no	—
1303	C₄×C₅	—	2	1	no	—
1304	C₄×C₅	—	2	1	no	—
1305	C₄×C₅	—	2	1	no	—
1306	C₄×C₅	—	4	1	no	—
1307	C₄×C₅	—	4	1	no	—
1308	C₄×C₅	—	4	1	no	—
1309	C₄×C₅	—	4	1	no	—
1310	C₄×C₅	—	4	1	no	—
1311	C₄×C₅	—	4	1	no	—
1312	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1313	C₄×C₅	#585	1	1	yes	characteristic
1314	Dic₅	—	2	1	no	—
1315	Dic₅	—	2	1	no	—
1316	Dic₅	—	2	2	no	—
1317	Dic₅	—	2	1	no	—
1318	Dic₅	—	2	1	no	—
1319	Dic₅	—	2	1	no	—
1320	Dic₅	—	4	1	no	—
1321	Dic₅	—	4	1	no	—
1322	Dic₅	—	4	1	no	—
1323	Dic₅	—	4	1	no	—
1324	Dic₅	—	4	1	no	—
1325	Dic₅	#577	1	2	yes	—
1326	C₂⁴	—	10	1	no	—
1327	C₂⁴	—	10	1	no	—
1328	#41	—	10	2	no	—
1329	#41	—	10	2	no	—
1330	#41	—	20	1	no	—
1331	#41	—	20	1	no	—
1332	#41	—	40	2	no	—
1333	C₂×Q₈	—	2	1	no	—
1334	C₂×Q₈	—	2	1	no	—
1335	C₂×Q₈	—	5	1	no	—
1336	C₂×Q₈	—	5	1	no	—
1337	C₂×Q₈	—	5	1	no	—
1338	C₂×Q₈	—	10	1	no	—
1339	C₂×Q₈	—	10	1	no	—
1340	C₂×Q₈	—	10	1	no	—
1341	C₂×Q₈	—	10	1	no	—
1342	C₂×Q₈	—	10	1	no	—
1343	C₂×Q₈	—	10	2	no	—
1344	C₂×Q₈	—	10	1	no	—
1345	C₂×Q₈	—	10	2	no	—
1346	C₂×Q₈	—	20	1	no	—
1347	C₂×Q₈	—	20	1	no	—
1348	C₂×Q₈	—	40	2	no	—
1349	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1350	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1351	C₂×D₄	—	2	1	no	—
1352	C₂×D₄	—	2	1	no	—
1353	C₂×D₄	—	5	1	no	—
1354	C₂×D₄	—	5	1	no	—
1355	C₂×D₄	—	5	1	no	—
1356	C₂×D₄	—	5	1	no	—
1357	C₂×D₄	—	5	1	no	—
1358	C₂×D₄	—	10	2	no	—
1359	C₂×D₄	—	10	1	no	—
1360	C₂×D₄	—	10	1	no	—
1361	C₂×D₄	—	10	1	no	—
1362	C₂×D₄	—	10	1	no	—
1363	C₂×D₄	—	10	1	no	—
1364	C₂×D₄	—	10	1	no	—
1365	C₂×D₄	—	10	2	no	—
1366	C₂×D₄	—	10	1	no	—
1367	C₂×D₄	—	10	1	no	—
1368	C₂×D₄	—	10	1	no	—
1369	C₂×D₄	—	10	1	no	—
1370	C₂×D₄	—	20	1	no	—
1371	C₂×D₄	—	20	1	no	—
1372	C₂×D₄	—	40	2	no	—
1373	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1374	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1375	C₂²×C₄	—	2	1	no	—
1376	C₂²×C₄	—	2	1	no	—
1377	C₂²×C₄	—	5	1	no	—
1378	C₂²×C₄	—	5	1	no	—
1379	C₂²×C₄	—	5	1	no	—
1380	C₂²×C₄	—	5	1	no	—
1381	C₂²×C₄	—	10	1	no	—
1382	C₂²×C₄	—	10	1	no	—
1383	C₂²×C₄	—	10	1	no	—
1384	C₂²×C₄	—	10	1	no	—
1385	C₂²×C₄	—	10	1	no	—
1386	C₂²×C₄	—	10	1	no	—
1387	C₂²×C₄	—	10	1	no	—
1388	C₂²×C₄	—	10	1	no	—
1389	C₂²×C₄	—	10	1	no	—
1390	C₂²×C₄	—	10	1	no	—
1391	C₂²×C₄	—	10	1	no	—
1392	C₂²×C₄	—	10	1	no	—
1393	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1394	Q₁₆	—	4	1	no	—
1395	Q₁₆	—	10	2	no	—
1396	Q₁₆	—	20	1	no	—
1397	SD₁₆	—	2	2	no	—
1398	SD₁₆	—	2	2	no	—
1399	SD₁₆	—	5	4	no	—
1400	SD₁₆	—	10	2	no	—
1401	SD₁₆	—	10	2	no	—
1402	SD₁₆	—	10	2	no	—
1403	SD₁₆	—	10	2	no	—
1404	SD₁₆	—	10	2	no	—
1405	SD₁₆	—	20	1	no	—
1406	SD₁₆	—	20	1	no	—
1407	D₈	—	4	1	no	—
1408	D₈	—	10	2	no	—
1409	D₈	—	20	1	no	—
1410	M₁₆	—	4	1	no	—
1411	M₁₆	—	20	1	no	—
1412	C₂×C₈	—	2	2	no	—
1413	C₂×C₈	—	5	1	no	—
1414	C₂×C₈	—	5	1	no	—
1415	C₂×C₈	—	5	1	no	—
1416	C₂×C₈	—	5	1	no	—
1417	C₂×C₈	—	10	2	no	—
1418	C₂×C₈	—	10	2	no	—
1419	C₂×C₈	—	20	1	no	—
1420	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1421	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1422	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1423	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	2	1	no	—
1428	C₄⋊C₄	—	2	1	no	—
1429	C₄⋊C₄	—	2	1	no	—
1430	C₄⋊C₄	—	5	1	no	—
1431	C₄⋊C₄	—	5	1	no	—
1432	C₄⋊C₄	—	5	1	no	—
1433	C₄⋊C₄	—	5	1	no	—
1434	C₄⋊C₄	—	5	1	no	—
1435	C₄⋊C₄	—	5	1	no	—
1436	C₄⋊C₄	—	5	1	no	—
1437	C₄⋊C₄	—	5	1	no	—
1438	C₄⋊C₄	—	5	1	no	—
1439	C₄⋊C₄	—	5	1	no	—
1440	C₄⋊C₄	—	5	1	no	—
1441	C₄⋊C₄	—	5	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	D₄×D₅	1	1	yes	characteristic
1461	C₄⋊C₄	D₄×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	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	2	1	no	—
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	2	1	no	—
1476	C₂²⋊C₄	—	5	1	no	—
1477	C₂²⋊C₄	—	5	1	no	—
1478	C₂²⋊C₄	—	5	1	no	—
1479	C₂²⋊C₄	—	5	1	no	—
1480	C₂²⋊C₄	—	5	1	no	—
1481	C₂²⋊C₄	—	5	1	no	—
1482	C₂²⋊C₄	—	5	1	no	—
1483	C₂²⋊C₄	—	5	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	C₂²⋊C₄	—	10	1	no	—
1496	C₂²⋊C₄	—	10	1	no	—
1497	C₂²⋊C₄	—	10	1	no	—
1498	C₂²⋊C₄	—	10	1	no	—
1499	C₂²⋊C₄	—	10	1	no	—
1500	C₂²⋊C₄	—	10	1	no	—
1501	C₂²⋊C₄	—	10	1	no	—
1502	C₂²⋊C₄	—	10	1	no	—
1503	C₂²⋊C₄	—	10	1	no	—
1504	C₂²⋊C₄	—	10	1	no	—
1505	C₂²⋊C₄	—	10	1	no	—
1506	C₂²⋊C₄	—	10	1	no	—
1507	C₂²⋊C₄	—	10	1	no	—
1508	C₂²⋊C₄	—	10	1	no	—
1509	C₂²⋊C₄	—	10	1	no	—
1510	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1511	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1512	C₄²	—	2	1	no	—
1513	C₄²	—	2	1	no	—
1514	C₄²	—	5	1	no	—
1515	C₄²	—	5	1	no	—
1516	C₄²	—	5	1	no	—
1517	C₄²	—	5	1	no	—
1518	C₄²	—	10	1	no	—
1519	C₄²	—	10	1	no	—
1520	C₄²	—	10	1	no	—
1521	C₄²	—	10	1	no	—
1522	C₄²	—	10	1	no	—
1523	C₄²	—	10	1	no	—
1524	C₄²	—	10	1	no	—
1525	C₄²	—	10	1	no	—
1526	C₄²	—	10	1	no	—
1527	C₄²	—	10	1	no	—
1528	C₄²	—	10	1	no	—
1529	C₄²	—	10	1	no	—
1530	C₄²	—	10	1	no	—
1531	C₄²	—	10	1	no	—
1532	C₄²	C₂³×D₅	1	1	yes	characteristic
1533	C₄²	C₂³×D₅	1	1	yes	characteristic
1534	C₂×C₅	—	4	1	no	—
1535	C₂×C₅	—	8	1	no	—
1536	C₂×C₅	—	8	1	no	—
1537	C₂×C₅	D₄×#41	1	1	yes	characteristic
1538	C₂×C₅	C₂×#577	1	1	yes	characteristic
1539	C₂×C₅	#3584	1	1	yes	characteristic
1540	D₅	—	4	1	no	—
1541	D₅	—	4	1	no	—
1542	D₅	—	4	2	no	—
1543	D₅	—	8	1	no	—
1544	C₂³	—	2	1	no	—
1545	C₂³	—	2	1	no	—
1546	C₂³	—	5	1	no	—
1547	C₂³	—	5	1	no	—
1548	C₂³	—	10	1	no	—
1549	C₂³	—	10	1	no	—
1550	C₂³	—	20	2	no	—
1551	C₂³	—	20	2	no	—
1552	C₂³	—	40	1	no	—
1553	C₂³	—	40	1	no	—
1554	C₂³	—	40	1	no	—
1555	C₂³	—	40	1	no	—
1556	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1557	Q₈	—	2	1	no	—
1558	Q₈	—	2	1	no	—
1559	Q₈	—	2	1	no	—
1560	Q₈	—	2	1	no	—
1561	Q₈	—	5	2	no	—
1562	Q₈	—	8	1	no	—
1563	Q₈	—	8	1	no	—
1564	Q₈	—	10	2	no	—
1565	Q₈	—	10	1	no	—
1566	Q₈	—	10	1	no	—
1567	Q₈	—	10	1	no	—
1568	Q₈	—	20	2	no	—
1569	Q₈	—	20	2	no	—
1570	Q₈	—	20	2	no	—
1571	Q₈	—	40	1	no	—
1572	Q₈	—	40	1	no	—
1573	Q₈	—	40	1	no	—
1574	D₄	—	2	1	no	—
1575	D₄	—	2	1	no	—
1576	D₄	—	2	1	no	—
1577	D₄	—	2	1	no	—
1578	D₄	—	5	2	no	—
1579	D₄	—	8	1	no	—
1580	D₄	—	8	1	no	—
1581	D₄	—	10	2	no	—
1582	D₄	—	10	1	no	—
1583	D₄	—	10	1	no	—
1584	D₄	—	10	1	no	—
1585	D₄	—	20	1	no	—
1586	D₄	—	20	2	no	—
1587	D₄	—	20	2	no	—
1588	D₄	—	20	2	no	—
1589	D₄	—	20	1	no	—
1590	D₄	—	20	2	no	—
1591	D₄	—	20	2	no	—
1592	D₄	—	40	1	no	—
1593	D₄	—	40	1	no	—
1594	D₄	—	40	1	no	—
1595	D₄	—	40	1	no	—
1596	D₄	—	40	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	5	1	no	—
1606	C₂×C₄	—	5	1	no	—
1607	C₂×C₄	—	5	1	no	—
1608	C₂×C₄	—	5	1	no	—
1609	C₂×C₄	—	5	1	no	—
1610	C₂×C₄	—	5	1	no	—
1611	C₂×C₄	—	8	1	no	—
1612	C₂×C₄	—	8	1	no	—
1613	C₂×C₄	—	10	2	no	—
1614	C₂×C₄	—	10	1	no	—
1615	C₂×C₄	—	10	1	no	—
1616	C₂×C₄	—	10	1	no	—
1617	C₂×C₄	—	10	1	no	—
1618	C₂×C₄	—	10	1	no	—
1619	C₂×C₄	—	10	1	no	—
1620	C₂×C₄	—	10	1	no	—
1621	C₂×C₄	—	10	1	no	—
1622	C₂×C₄	—	10	1	no	—
1623	C₂×C₄	—	10	1	no	—
1624	C₂×C₄	—	20	1	no	—
1625	C₂×C₄	—	20	2	no	—
1626	C₂×C₄	—	20	2	no	—
1627	C₂×C₄	—	20	2	no	—
1628	C₂×C₄	—	20	2	no	—
1629	C₂×C₄	—	20	2	no	—
1630	C₂×C₄	—	20	2	no	—
1631	C₂×C₄	—	40	1	no	—
1632	C₂×C₄	—	40	1	no	—
1633	C₂×C₄	—	40	1	no	—
1634	C₂×C₄	—	40	1	no	—
1635	C₂×C₄	—	40	1	no	—
1636	C₂×C₄	—	40	1	no	—
1637	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1638	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1639	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1640	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1641	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1642	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1643	C₈	—	2	1	no	—
1644	C₈	—	2	1	no	—
1645	C₈	—	2	1	no	—
1646	C₈	—	10	1	no	—
1647	C₈	—	10	1	no	—
1648	C₈	—	10	1	no	—
1649	C₈	—	10	1	no	—
1650	C₈	D₅×#41	1	2	yes	—
1651	C₅	#61474	1	1	yes	characteristic, complemented, Sylow
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	4	1	no	—
1657	C₂²	—	4	1	no	—
1658	C₂²	—	4	1	no	—
1659	C₂²	—	4	1	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	10	1	no	—
1662	C₂²	—	10	1	no	—
1663	C₂²	—	10	2	no	—
1664	C₂²	—	10	1	no	—
1665	C₂²	—	10	1	no	—
1666	C₂²	—	10	1	no	—
1667	C₂²	—	10	1	no	—
1668	C₂²	—	20	1	no	—
1669	C₂²	—	20	1	no	—
1670	C₂²	—	20	1	no	—
1671	C₂²	—	20	1	no	—
1672	C₂²	—	20	1	no	—
1673	C₂²	—	80	2	no	—
1674	C₂²	—	80	2	no	—
1675	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	4	1	no	—
1682	C₄	—	4	1	no	—
1683	C₄	—	4	1	no	—
1684	C₄	—	4	1	no	—
1685	C₄	—	4	1	no	—
1686	C₄	—	4	1	no	—
1687	C₄	—	5	2	no	—
1688	C₄	—	10	1	no	—
1689	C₄	—	10	1	no	—
1690	C₄	—	10	2	no	—
1691	C₄	—	10	1	no	—
1692	C₄	—	10	1	no	—
1693	C₄	—	10	1	no	—
1694	C₄	—	20	1	no	—
1695	C₄	—	20	1	no	—
1696	C₄	—	20	1	no	—
1697	C₄	—	20	1	no	—
1698	C₄	—	20	1	no	—
1699	C₄	C₂×D₅×#41	1	1	yes	characteristic
1700	C₄	#66283	1	1	yes	characteristic
1701	C₂	—	4	1	no	—
1702	C₂	—	8	1	no	—
1703	C₂	—	8	1	no	—
1704	C₂	—	20	1	no	—
1705	C₂	—	20	1	no	—
1706	C₂	—	20	2	no	—
1707	C₂	—	40	1	no	—
1708	C₂	#10618139	1	1	yes	characteristic
1709	C₂	D₅×#577	1	1	yes	characteristic
1710	C₂	#10619107	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3173	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3173	D₅
hypocenter	C₅	#61474
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3173

Complements

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

N	H ≅ G/N	type
1. #10618455	C₂	semidirect
2. #10618428	C₂	semidirect
3. C₅×#3173	C₂	semidirect
4. #10615198	C₂	semidirect
5. #10615191	C₂	semidirect
6. #10613634	C₂	semidirect
7. #10613631	C₂	semidirect
8. #10613563	C₂	semidirect
9. #10613545	C₂	semidirect
10. #10613434	C₂	semidirect
11. #10613429	C₂	semidirect
12. #10613406	C₂	semidirect
13. #10613401	C₂	semidirect
14. #10612658	C₂	semidirect
15. #10612645	C₂	semidirect
16. #10612615	C₂	semidirect
17. #10612608	C₂	semidirect
18. #10612408	C₂	semidirect
19. #10612407	C₂	semidirect
20. #10612381	C₂	semidirect
21. #10612381	C₂	semidirect
22. #10611617	C₂	semidirect
23. #10611603	C₂	semidirect
24. #10611579	C₂	semidirect
25. #10611566	C₂	semidirect
26. #10611397	C₂	semidirect
27. #10611393	C₂	semidirect
28. #10611380	C₂	semidirect
29. C₄×#4062	C₂	semidirect
30. #10610303	C₂	semidirect
31. #10610287	C₂	semidirect
33. C₅×#542	C₂²	semidirect
38. #66066	C₂²	semidirect
40. #66056	C₂²	semidirect
47. #66011	C₂²	semidirect
51. #66005	C₂²	semidirect
58. #65975	C₂²	semidirect
68. #65932	C₂²	semidirect
70. #65912	C₂²	semidirect
72. #65906	C₂²	semidirect
73. #65895	C₂²	semidirect
76. C₄×#711	C₂²	semidirect
79. #65850	C₂²	semidirect
80. C₅×#498	C₂²	semidirect
81. C₅×#495	C₂²	semidirect
82. C₅×#489	C₂²	semidirect
83. C₅×#489	C₂²	semidirect
84. C₅×#470	C₂²	semidirect
87. C₅×#465	C₂²	semidirect
88. C₅×#442	C₂²	semidirect
89. C₅×#441	C₂²	semidirect
90. C₄×C₅×SD₁₆	C₂²	semidirect
91. C₄×C₅×SD₁₆	C₂²	semidirect
92. C₅×#405	C₂²	semidirect
94. #65475	C₂²	semidirect
95. #65474	C₂²	semidirect
96. #65471	C₂²	semidirect
98. #65460	C₂²	semidirect
99. #65460	C₂²	semidirect
100. #65457	C₂²	semidirect
101. SD₁₆×Dic₅	C₂²	semidirect
102. SD₁₆×Dic₅	C₂²	semidirect
103. #65447	C₂²	semidirect
105. #65442	C₂²	semidirect
109. #65416	C₂²	semidirect
110. #65409	C₂²	semidirect
112. C₈×C₂²⋊D₅	C₂²	semidirect
113. #65395	C₂²	semidirect
114. #65383	C₂²	semidirect
115. #65380	C₂²	semidirect
116. #65376	C₂²	semidirect
119. #65346	C₂²	semidirect
120. #65343	C₂²	semidirect
121. #65343	C₂²	semidirect
122. #65339	C₂²	semidirect
124. #65334	C₂²	semidirect
125. #65334	C₂²	semidirect
129. #65324	C₂²	semidirect
130. #65319	C₂²	semidirect
131. C₄×#689	C₂²	semidirect
133. C₄×#688	C₂²	semidirect
134. #65307	C₂²	semidirect
135. C₄×#687	C₂²	semidirect
136. #65303	C₂²	semidirect
138. #65289	C₂²	semidirect
141. #65156	C₂²	semidirect
142. #65156	C₂²	semidirect
144. #65155	C₂²	semidirect
146. #65153	C₂²	semidirect
147. #65149	C₂²	semidirect
148. #65149	C₂²	semidirect
149. #65144	C₂²	semidirect
150. #65144	C₂²	semidirect
151. #65143	C₂²	semidirect
152. #65143	C₂²	semidirect
157. #65105	C₂²	semidirect
158. #65103	C₂²	semidirect
159. #65103	C₂²	semidirect
161. #65096	C₂²	semidirect
164. #65091	C₂²	semidirect
165. #65087	C₂²	semidirect
166. #65084	C₂²	semidirect
167. #65083	C₂²	semidirect
168. #65083	C₂²	semidirect
169. #65081	C₂²	semidirect
170. #65079	C₂²	semidirect
172. #65073	C₂²	semidirect
173. #65073	C₂²	semidirect
175. #65070	C₂²	semidirect
176. #65067	C₂²	semidirect
178. #65061	C₂²	semidirect
180. #65054	C₂²	semidirect
183. #65048	C₂²	semidirect
184. #65048	C₂²	semidirect
185. #65046	C₂²	semidirect
189. #64999	C₂²	semidirect
190. #64999	C₂²	semidirect
191. #64998	C₂²	semidirect
192. #64995	C₂²	semidirect
193. #64994	C₂²	semidirect
194. #64990	C₂²	semidirect
197. C₄×#677	C₂²	semidirect
198. C₄×#677	C₂²	semidirect
199. #64978	C₂²	semidirect
200. C₈×D₂₀	C₂²	semidirect
201. C₄×C₈×D₅	C₂²	semidirect
202. C₈×Dic₁₀	C₂²	semidirect
501. #3173	D₅	semidirect
716. #677	#41	semidirect
753. #542	C₂×D₅	semidirect
771. #498	C₂×D₅	semidirect
773. #495	C₂×D₅	semidirect
777. #489	C₂×D₅	semidirect
778. #489	C₂×D₅	semidirect
806. #470	C₂×D₅	semidirect
816. #465	C₂×D₅	semidirect
844. #442	C₂×D₅	semidirect
846. #441	C₂×D₅	semidirect
867. C₄×SD₁₆	C₂×D₅	semidirect
868. C₄×SD₁₆	C₂×D₅	semidirect
890. #405	C₂×D₅	semidirect
1651. C₅	#61474	semidirect

Maximal subgroups

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

subgroup	index
#10618455	2
#10618428	2
C₅×#3173	2
#10615198	2
#10615191	2
#10613634	2
#10613631	2
#10613563	2
#10613545	2
#10613434	2
#10613429	2
#10613406	2
#10613401	2
#10612658	2
#10612645	2
#10612615	2
#10612608	2
#10612408	2
#10612407	2
#10612381	2
#10611617	2
#10611603	2
#10611579	2
#10611566	2
#10611397	2
#10611393	2
#10611380	2
C₄×#4062	2
#10610303	2
#10610287	2
#61474	5