Subgroups — #12978200

Order 1280.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618848	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618602	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3335	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615355	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615250	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613630	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613623	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613169	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613168	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613161	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613158	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613066	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613059	C₂	1	1	yes	maximal, characteristic, complemented
14	#10613056	C₂	1	1	yes	maximal, characteristic, complemented
15	#10613052	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612814	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612794	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612761	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612745	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612404	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612391	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612387	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612379	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611420	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611381	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611152	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611145	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610856	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610855	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610847	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×D₅×#106	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#554	C₂²	1	1	yes	characteristic
33	C₅×#547	C₂²	1	1	yes	characteristic
34	#66162	—	2	1	no	—
35	#66158	—	2	1	no	—
36	C₂×#4062	C₂²	1	1	yes	characteristic
37	C₂×#4047	C₂²	1	1	yes	characteristic
38	C₂²×C₈×D₅	C₂²	1	1	yes	characteristic
39	#66064	C₂²	1	1	yes	characteristic
40	#66063	C₂²	1	1	yes	characteristic
41	#66063	C₂²	1	1	yes	characteristic
42	#66060	C₂²	1	1	yes	characteristic
43	#66027	—	2	1	no	—
44	#66026	—	2	1	no	—
45	#65995	—	2	1	no	—
46	#65994	—	2	1	no	—
47	#65990	—	2	1	no	—
48	#65984	—	2	1	no	—
49	#65973	C₂²	1	1	yes	characteristic
50	#65972	—	2	1	no	—
51	#65972	—	2	1	no	—
52	#65970	—	2	1	no	—
53	#65970	—	2	1	no	—
54	#65969	C₂²	1	1	yes	characteristic
55	#65965	—	2	1	no	—
56	#65963	C₂²	1	1	yes	characteristic
57	#65961	—	2	1	no	—
58	#65961	C₂²	1	1	yes	characteristic
59	#65948	C₂²	1	1	yes	characteristic
60	#65945	C₂²	1	1	yes	characteristic
61	#65942	C₂²	1	1	yes	characteristic
62	#65940	C₂²	1	1	yes	characteristic
63	#65915	C₂²	1	1	yes	characteristic
64	#65908	C₂²	1	1	yes	characteristic
65	#65899	C₂²	1	1	yes	characteristic
66	#65892	C₂²	1	1	yes	characteristic
67	#65881	—	2	1	no	—
68	#65881	C₂²	1	1	yes	characteristic
69	#65880	C₂²	1	1	yes	characteristic
70	#65875	C₂²	1	1	yes	characteristic
71	#65874	—	2	1	no	—
72	#65848	C₂²	1	1	yes	characteristic
73	#65847	C₂²	1	1	yes	characteristic
74	#65845	C₂²	1	1	yes	characteristic
75	#65841	C₂²	1	1	yes	characteristic
76	#65838	C₂²	1	1	yes	characteristic
77	#65838	C₂²	1	1	yes	characteristic
78	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
79	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
80	C₅×#498	C₂²	1	1	yes	characteristic, complemented
81	C₅×#483	C₂²	1	1	yes	characteristic
82	C₅×#483	C₂²	1	1	yes	characteristic, complemented
83	C₅×#481	C₂²	1	1	yes	characteristic
84	C₅×#481	C₂²	1	1	yes	characteristic, complemented
85	C₅×#476	C₂²	1	1	yes	characteristic, complemented
86	C₅×#475	C₂²	1	1	yes	characteristic, complemented
87	C₅×#465	C₂²	1	1	yes	characteristic
88	C₅×#465	C₂²	1	1	yes	characteristic, complemented
89	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
90	C₅×C₈×D₄	C₂²	1	1	yes	characteristic
91	C₂×C₅×#106	C₂²	1	1	yes	characteristic
92	C₂×C₅×#106	C₂²	1	1	yes	characteristic, complemented
93	#65460	C₂²	1	1	yes	characteristic
94	#65460	C₂²	1	1	yes	characteristic, complemented
95	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
96	#65403	C₂²	1	1	yes	characteristic
97	#65403	C₂²	1	1	yes	characteristic, complemented
98	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
99	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
100	#65395	C₂²	1	1	yes	characteristic, complemented
101	C₂×#3949	C₂²	1	1	yes	characteristic
102	#65383	C₂²	1	1	yes	characteristic, complemented
103	#65373	C₂²	1	1	yes	characteristic, complemented
104	#65369	C₂²	1	1	yes	characteristic, complemented
105	#65369	C₂²	1	1	yes	characteristic, complemented
106	#65341	C₂²	1	1	yes	characteristic, complemented
107	#65340	C₂²	1	1	yes	characteristic
108	#65334	C₂²	1	1	yes	characteristic, complemented
109	#65332	C₂²	1	1	yes	characteristic
110	#65328	C₂²	1	1	yes	characteristic, complemented
111	#65327	C₂²	1	1	yes	characteristic
112	#65324	C₂²	1	1	yes	characteristic, complemented
113	#65323	C₂²	1	1	yes	characteristic
114	#65319	C₂²	1	1	yes	characteristic, complemented
115	#65311	C₂²	1	1	yes	characteristic, complemented
116	#65303	C₂²	1	1	yes	characteristic, complemented
117	#65300	C₂²	1	1	yes	characteristic
118	#65298	C₂²	1	1	yes	characteristic, complemented
119	#65260	C₂²	1	1	yes	characteristic, complemented
120	#65259	C₂²	1	1	yes	characteristic
121	#65257	C₂²	1	1	yes	characteristic, complemented
122	#65256	C₂²	1	1	yes	characteristic
123	#65253	C₂²	1	1	yes	characteristic, complemented
124	#65253	C₂²	1	1	yes	characteristic, complemented
125	C₂×#3940	C₂²	1	1	yes	characteristic
126	C₂×#3940	C₂²	1	1	yes	characteristic
127	#65160	C₂²	1	1	yes	characteristic, complemented
128	#65159	C₂²	1	1	yes	characteristic, complemented
129	#65156	C₂²	1	1	yes	characteristic, complemented
130	#65155	C₂²	1	1	yes	characteristic, complemented
131	#65153	C₂²	1	1	yes	characteristic
132	#65153	C₂²	1	1	yes	characteristic, complemented
133	#65152	C₂²	1	1	yes	characteristic
134	#65152	C₂²	1	1	yes	characteristic
135	#65152	C₂²	1	1	yes	characteristic, complemented
136	#65151	C₂²	1	1	yes	characteristic
137	#65151	C₂²	1	1	yes	characteristic
138	#65151	C₂²	1	1	yes	characteristic, complemented
139	#65150	C₂²	1	1	yes	characteristic
140	#65150	C₂²	1	1	yes	characteristic
141	#65150	C₂²	1	1	yes	characteristic
142	#65150	C₂²	1	1	yes	characteristic
143	#65150	C₂²	1	1	yes	characteristic, complemented
144	#65150	C₂²	1	1	yes	characteristic, complemented
145	#65149	C₂²	1	1	yes	characteristic
146	#65149	C₂²	1	1	yes	characteristic, complemented
147	D₅×#106	C₂²	1	1	yes	characteristic
148	D₅×#106	C₂²	1	1	yes	characteristic
149	D₅×#106	C₂²	1	1	yes	characteristic
150	D₅×#106	C₂²	1	1	yes	characteristic
151	D₅×#106	C₂²	1	1	yes	characteristic
152	D₅×#106	C₂²	1	1	yes	characteristic
153	D₅×#106	C₂²	1	1	yes	characteristic
154	D₅×#106	C₂²	1	1	yes	characteristic
155	D₅×#106	C₂²	1	1	yes	characteristic, complemented
156	#65147	C₂²	1	1	yes	characteristic, complemented
157	#65146	C₂²	1	1	yes	characteristic, complemented
158	#65145	C₂²	1	1	yes	characteristic, complemented
159	#65145	C₂²	1	1	yes	characteristic, complemented
160	#65144	C₂²	1	1	yes	characteristic, complemented
161	#65143	C₂²	1	1	yes	characteristic, complemented
162	#65141	C₂²	1	1	yes	characteristic, complemented
163	#65136	C₂²	1	1	yes	characteristic, complemented
164	#65128	C₂²	1	1	yes	characteristic
165	#65125	C₂²	1	1	yes	characteristic
166	#65118	C₂²	1	1	yes	characteristic, complemented
167	#65105	C₂²	1	1	yes	characteristic, complemented
168	#65103	C₂²	1	1	yes	characteristic, complemented
169	#65102	C₂²	1	1	yes	characteristic
170	#65098	C₂²	1	1	yes	characteristic
171	#65098	C₂²	1	1	yes	characteristic
172	#65094	C₂²	1	1	yes	characteristic, complemented
173	#65093	C₂²	1	1	yes	characteristic
174	#65092	C₂²	1	1	yes	characteristic
175	#65092	C₂²	1	1	yes	characteristic
176	#65085	C₂²	1	1	yes	characteristic, complemented
177	#65080	C₂²	1	1	yes	characteristic, complemented
178	#65078	C₂²	1	1	yes	characteristic, complemented
179	#65074	C₂²	1	1	yes	characteristic, complemented
180	#65073	C₂²	1	1	yes	characteristic, complemented
181	#65071	C₂²	1	1	yes	characteristic, complemented
182	#65066	C₂²	1	1	yes	characteristic, complemented
183	#65064	C₂²	1	1	yes	characteristic
184	#65063	C₂²	1	1	yes	characteristic
185	#65063	C₂²	1	1	yes	characteristic
186	#65061	C₂²	1	1	yes	characteristic
187	#65060	C₂²	1	1	yes	characteristic
188	#65060	C₂²	1	1	yes	characteristic
189	#65055	C₂²	1	1	yes	characteristic, complemented
190	#65050	C₂²	1	1	yes	characteristic, complemented
191	#65026	C₂²	1	1	yes	characteristic, complemented
192	#65025	C₂²	1	1	yes	characteristic
193	#65019	C₂²	1	1	yes	characteristic
194	#65017	C₂²	1	1	yes	characteristic
195	#65016	C₂²	1	1	yes	characteristic
196	#65015	C₂²	1	1	yes	characteristic
197	#65012	C₂²	1	1	yes	characteristic, complemented
198	#65011	C₂²	1	1	yes	characteristic
199	C₄×#677	C₂²	1	1	yes	characteristic, complemented
200	#64978	C₂²	1	1	yes	characteristic
201	C₈×D₂₀	C₂²	1	1	yes	characteristic
202	#64972	C₂²	1	1	yes	characteristic, complemented
203	#61259	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	—	2	1	no	—
205	C₂×#713	—	2	1	no	—
206	C₂×#713	C₂³	1	1	yes	characteristic
207	C₂×#711	—	2	1	no	—
208	C₂×#711	C₂³	1	1	yes	characteristic
209	C₂×#709	—	2	1	no	—
210	C₂×#709	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₅	—	2	1	no	—
212	C₂²×C₄×D₅	—	2	1	no	—
213	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
214	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
216	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
217	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
218	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
219	C₅×#125	—	2	1	no	—
220	C₅×#123	—	2	1	no	—
221	C₅×#123	—	2	1	no	—
222	C₅×C₂²⋊Q₈	—	2	1	no	—
223	C₅×C₂²⋊Q₈	—	2	1	no	—
224	C₅×C₂²⋊Q₈	—	2	1	no	—
225	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
226	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
227	C₅×#121	C₂³	1	1	yes	characteristic
228	C₅×#121	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	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
233	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	#4092	—	2	1	no	—
238	#4092	—	2	1	no	—
239	#4092	—	2	1	no	—
240	#4092	—	2	1	no	—
241	#4092	—	2	1	no	—
242	#4092	C₂³	1	1	yes	characteristic
243	#4092	C₂³	1	1	yes	characteristic
244	Q₈×Dic₅	C₂³	1	1	yes	characteristic
245	#4090	—	2	1	no	—
246	#4090	—	2	1	no	—
247	C₂×#689	C₂³	1	1	yes	characteristic
248	#4085	—	2	1	no	—
249	#4085	—	2	1	no	—
250	#4085	D₄	1	1	yes	characteristic
251	#4084	—	2	1	no	—
252	#4084	—	2	1	no	—
253	#4084	C₂³	1	1	yes	characteristic
254	#4084	C₂³	1	1	yes	characteristic
255	#4083	—	2	1	no	—
256	#4083	D₄	1	1	yes	characteristic
257	#4081	—	2	1	no	—
258	#4081	—	2	1	no	—
259	#4081	—	2	1	no	—
260	D₄×Dic₅	—	2	1	no	—
261	D₄×Dic₅	C₂³	1	1	yes	characteristic
262	C₂×#686	C₂³	1	1	yes	characteristic
263	#4076	—	2	1	no	—
264	#4076	C₂³	1	1	yes	characteristic
265	#4076	C₂³	1	1	yes	characteristic
266	#4075	—	2	1	no	—
267	#4075	—	2	1	no	—
268	#4075	—	2	1	no	—
269	C₄×C₂²⋊D₅	—	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	—	2	1	no	—
276	C₄×C₂²⋊D₅	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
281	#4072	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
284	#4070	—	2	1	no	—
285	#4070	C₂³	1	1	yes	characteristic
286	#4070	C₂³	1	1	yes	characteristic
287	C₂×#683	—	2	1	no	—
288	C₂×#683	—	2	1	no	—
289	C₂×#683	—	2	1	no	—
290	C₂×#681	C₂³	1	1	yes	characteristic
291	C₂²×#168	C₂³	1	1	yes	characteristic
292	#4062	—	2	4	no	—
293	C₂×#677	C₂³	1	1	yes	characteristic
294	#4047	—	2	4	no	—
295	C₂×#676	C₂³	1	1	yes	characteristic
296	C₂×#676	C₂³	1	1	yes	characteristic
297	C₂×#676	C₂³	1	1	yes	characteristic
298	C₂×C₈×D₅	—	2	4	no	—
299	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
300	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
301	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
302	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
303	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
304	#4044	—	2	1	no	—
305	#4044	—	2	1	no	—
306	#4044	—	2	1	no	—
307	#4043	—	2	1	no	—
308	#4043	C₂³	1	1	yes	characteristic
309	#4043	C₂³	1	1	yes	characteristic
310	#4042	—	2	1	no	—
311	#4042	—	2	1	no	—
312	#4042	—	2	1	no	—
313	#4042	—	2	1	no	—
314	#4042	—	2	1	no	—
315	#4042	D₄	1	1	yes	characteristic
316	#4041	—	2	1	no	—
317	#4041	C₂³	1	1	yes	characteristic
318	#4041	C₂³	1	1	yes	characteristic
319	#4040	—	2	1	no	—
320	#4040	—	2	1	no	—
321	#4040	—	2	1	no	—
322	#4040	—	2	1	no	—
323	#4040	—	2	1	no	—
324	#4040	—	2	1	no	—
325	#4040	D₄	1	1	yes	characteristic
326	#4039	—	2	1	no	—
327	#4039	—	2	1	no	—
328	#4039	—	2	1	no	—
329	#4039	—	2	1	no	—
330	#4039	—	2	1	no	—
331	#4039	C₂³	1	1	yes	characteristic
332	#4038	—	2	1	no	—
333	#4038	C₂³	1	1	yes	characteristic
334	#4038	C₂³	1	1	yes	characteristic
335	#4038	C₂³	1	1	yes	characteristic
336	#4038	C₂³	1	1	yes	characteristic
337	D₅×C₄⋊C₄	—	2	1	no	—
338	D₅×C₄⋊C₄	—	2	1	no	—
339	D₅×C₄⋊C₄	—	2	1	no	—
340	D₅×C₄⋊C₄	—	2	1	no	—
341	D₅×C₄⋊C₄	—	2	1	no	—
342	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
343	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
344	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
345	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
346	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
347	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
348	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
349	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
350	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
351	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
352	#4036	—	2	1	no	—
353	#4036	C₂³	1	1	yes	characteristic
354	#4036	C₂³	1	1	yes	characteristic
355	#4035	—	2	1	no	—
356	#4035	—	2	1	no	—
357	#4035	—	2	1	no	—
358	#4035	—	2	1	no	—
359	#4035	—	2	1	no	—
360	#4035	—	2	1	no	—
361	#4035	—	2	1	no	—
362	#4035	—	2	1	no	—
363	#4034	C₂³	1	1	yes	characteristic
364	#4034	C₂³	1	1	yes	characteristic
365	#4033	—	2	1	no	—
366	#4033	—	2	1	no	—
367	#4033	C₂³	1	1	yes	characteristic
368	#4030	—	2	1	no	—
369	#4030	—	2	1	no	—
370	#4030	—	2	1	no	—
371	#4030	—	2	1	no	—
372	#4030	D₄	1	1	yes	characteristic
373	#4029	—	2	1	no	—
374	#4029	—	2	1	no	—
375	#4029	—	2	1	no	—
376	#4029	—	2	1	no	—
377	#4029	D₄	1	1	yes	characteristic
378	#4028	—	2	1	no	—
379	#4028	D₄	1	1	yes	characteristic
380	#4027	—	2	1	no	—
381	#4027	—	2	1	no	—
382	#4027	—	2	1	no	—
383	#4027	—	2	1	no	—
384	#4027	—	2	1	no	—
385	#4027	—	2	1	no	—
386	#4025	—	2	1	no	—
387	#4025	—	2	1	no	—
388	#4025	—	2	1	no	—
389	#4025	—	2	1	no	—
390	#4024	—	2	1	no	—
391	#4024	—	2	1	no	—
392	#4024	—	2	1	no	—
393	#4024	D₄	1	1	yes	characteristic
394	#4023	—	2	1	no	—
395	#4023	—	2	1	no	—
396	#4022	—	2	1	no	—
397	C₄×D₂₀	—	2	1	no	—
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	#4016	C₂³	1	1	yes	characteristic
404	#4016	C₂³	1	1	yes	characteristic
405	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
406	C₅×#106	C₂³	1	1	yes	characteristic
407	C₅×#106	C₂³	1	1	yes	characteristic
408	C₅×#106	C₂³	1	1	yes	characteristic
409	C₅×#106	C₂³	1	1	yes	characteristic
410	C₅×#106	C₂³	1	1	yes	characteristic
411	C₅×#106	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×C₄⋊C₈	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×#102	C₂³	1	1	yes	characteristic
420	C₅×#102	C₂³	1	1	yes	characteristic
421	C₅×#102	C₂³	1	1	yes	characteristic
422	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
423	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
424	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
425	#3967	C₂³	1	1	yes	characteristic
426	#3967	C₂³	1	1	yes	characteristic
427	#3967	C₂³	1	1	yes	characteristic
428	#3964	C₂³	1	1	yes	characteristic
429	#3964	C₂³	1	1	yes	characteristic
430	#3964	C₂³	1	1	yes	characteristic
431	C₂²⋊#168	C₂³	1	1	yes	characteristic
432	C₂²⋊#168	C₂³	1	1	yes	characteristic
433	#3953	C₂³	1	1	yes	characteristic
434	#3953	C₂³	1	1	yes	characteristic
435	#3953	C₂³	1	1	yes	characteristic
436	#3952	C₂³	1	1	yes	characteristic
437	#3952	C₂³	1	1	yes	characteristic
438	#3952	C₂³	1	1	yes	characteristic
439	#3952	C₂³	1	1	yes	characteristic
440	#3950	C₂³	1	1	yes	characteristic
441	#3950	C₂³	1	1	yes	characteristic
442	#3950	C₂³	1	1	yes	characteristic
443	#3950	C₂³	1	1	yes	characteristic
444	#3949	C₂³	1	1	yes	characteristic
445	#3949	C₂³	1	1	yes	characteristic
446	#3949	C₂³	1	1	yes	characteristic
447	#3949	C₂³	1	1	yes	characteristic
448	#3949	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	#3947	C₂³	1	1	yes	characteristic
453	#3946	C₂³	1	1	yes	characteristic
454	#3946	C₂³	1	1	yes	characteristic
455	C₈×Dic₅	C₂³	1	1	yes	characteristic
456	#3942	C₂³	1	1	yes	characteristic
457	#3942	C₂³	1	1	yes	characteristic
458	#3942	C₂³	1	1	yes	characteristic
459	#3941	C₂³	1	1	yes	characteristic
460	#3941	C₂³	1	1	yes	characteristic
461	#3941	C₂³	1	1	yes	characteristic
462	#3940	C₂³	1	1	yes	characteristic
463	#3940	C₂³	1	1	yes	characteristic
464	#3940	C₂³	1	1	yes	characteristic
465	#3940	C₂³	1	1	yes	characteristic
466	#3940	C₂³	1	1	yes	characteristic
467	#3940	C₂³	1	1	yes	characteristic
468	#3940	C₂³	1	1	yes	characteristic
469	#3940	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	#3939	C₂³	1	1	yes	characteristic
479	#3939	C₂³	1	1	yes	characteristic
480	C₄⋊#168	C₂³	1	1	yes	characteristic
481	#3935	C₂³	1	1	yes	characteristic
482	#3492	—	5	1	no	—
483	#3492	—	5	1	no	—
484	#3345	—	5	1	no	—
485	#3345	—	5	1	no	—
486	#3345	—	5	1	no	—
487	#3345	—	5	1	no	—
488	#3344	—	5	1	no	—
489	#3344	—	5	1	no	—
490	#3344	—	5	1	no	—
491	#3344	—	5	1	no	—
492	#3337	—	5	1	no	—
493	#3337	—	5	1	no	—
494	#3337	—	5	1	no	—
495	#3337	—	5	1	no	—
496	#3335	—	5	1	no	—
497	#3335	—	5	1	no	—
498	#3335	—	5	1	no	—
499	#3335	D₅	1	1	yes	characteristic, complemented
500	#3163	—	5	1	no	—
501	#3099	—	5	1	no	—
502	#3099	—	5	1	no	—
503	#3092	—	5	1	no	—
504	#3092	—	5	1	no	—
505	#3084	—	5	1	no	—
506	#3084	—	5	1	no	—
507	#3060	—	5	1	no	—
508	#3050	—	5	1	no	—
509	#2952	—	5	1	no	—
510	#2929	—	5	1	no	—
511	#2912	—	5	1	no	—
512	C₂²×#106	—	5	1	no	—
513	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
514	C₅×#41	—	8	2	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×D₄	—	2	1	no	—
519	C₂×C₅×D₄	—	2	1	no	—
520	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
521	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₅	—	2	1	no	—
523	C₂²×C₄×C₅	—	2	1	no	—
524	C₂²×C₄×C₅	—	2	1	no	—
525	C₂²×C₄×C₅	—	2	1	no	—
526	C₂²×C₄×C₅	—	2	1	no	—
527	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
529	C₂×C₂²⋊D₅	—	2	1	no	—
530	C₂×C₂²⋊D₅	—	2	1	no	—
531	C₂×C₂²⋊D₅	—	2	1	no	—
532	C₂×C₂²⋊D₅	—	2	1	no	—
533	C₂×C₂²⋊D₅	—	2	1	no	—
534	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
535	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
536	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
537	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
538	C₂²×Dic₅	—	2	1	no	—
539	C₂²×Dic₅	—	2	1	no	—
540	C₂²×Dic₅	—	2	1	no	—
541	C₂²×Dic₅	—	2	1	no	—
542	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
543	#713	—	2	2	no	—
544	#713	—	2	2	no	—
545	#713	—	8	2	no	—
546	#711	—	2	2	no	—
547	#711	—	2	2	no	—
548	#711	—	8	2	no	—
549	#709	—	2	2	no	—
550	#709	—	2	2	no	—
551	#709	—	8	2	no	—
552	C₂×D₂₀	—	2	1	no	—
553	C₂×D₂₀	—	2	1	no	—
554	C₂×D₂₀	—	2	1	no	—
555	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
556	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
557	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
558	C₂×C₄×D₅	—	2	2	no	—
559	C₂×C₄×D₅	—	2	2	no	—
560	C₂×C₄×D₅	—	2	1	no	—
561	C₂×C₄×D₅	—	2	1	no	—
562	C₂×C₄×D₅	—	2	1	no	—
563	C₂×C₄×D₅	—	2	1	no	—
564	C₂×C₄×D₅	—	2	1	no	—
565	C₂×C₄×D₅	—	2	1	no	—
566	C₂×C₄×D₅	—	2	1	no	—
567	C₂×C₄×D₅	—	2	1	no	—
568	C₂×C₄×D₅	—	2	1	no	—
569	C₂×C₄×D₅	—	2	1	no	—
570	C₂×C₄×D₅	—	2	1	no	—
571	C₂×C₄×D₅	—	2	1	no	—
572	C₂×C₄×D₅	—	2	1	no	—
573	C₂×C₄×D₅	—	8	2	no	—
574	C₂×C₄×D₅	—	8	2	no	—
575	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
576	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
577	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
578	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
579	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
580	C₂×Dic₁₀	—	2	1	no	—
581	C₂×Dic₁₀	—	2	1	no	—
582	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
583	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
584	C₅×SD₁₆	—	2	2	no	—
585	C₂×C₅×C₈	—	2	2	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	—	2	1	no	—
598	C₅×C₄⋊C₄	—	2	1	no	—
599	C₅×C₄⋊C₄	—	2	1	no	—
600	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
601	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
602	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
603	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
604	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
605	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
606	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
613	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
614	C₄²×C₅	—	2	1	no	—
615	C₄²×C₅	C₂⁴	1	1	yes	characteristic
616	C₂²⋊Dic₅	—	2	1	no	—
617	C₂²⋊Dic₅	—	2	1	no	—
618	C₂²⋊Dic₅	—	2	1	no	—
619	C₂²⋊Dic₅	—	2	1	no	—
620	C₂²⋊Dic₅	—	2	1	no	—
621	C₂²⋊Dic₅	—	2	1	no	—
622	C₂²⋊Dic₅	—	2	1	no	—
623	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
624	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
625	#689	—	2	2	no	—
626	#686	—	2	2	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	#685	C₂×D₄	1	1	yes	characteristic
646	#685	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	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	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
661	#683	—	2	1	no	—
662	#683	—	2	1	no	—
663	#683	—	2	1	no	—
664	#683	—	2	1	no	—
665	#683	—	2	1	no	—
666	#683	—	2	1	no	—
667	#683	—	2	1	no	—
668	#683	—	2	1	no	—
669	#683	—	2	1	no	—
670	#683	—	2	1	no	—
671	#683	—	2	1	no	—
672	#683	—	2	1	no	—
673	#683	—	2	1	no	—
674	#683	—	2	1	no	—
675	#683	—	2	1	no	—
676	#683	—	2	1	no	—
677	#683	—	2	1	no	—
678	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	—	2	1	no	—
684	#683	—	2	1	no	—
685	#683	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	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	C₂⁴	1	1	yes	characteristic
699	#681	—	2	2	no	—
700	C₂×#168	—	2	2	no	—
701	C₂×#168	C₂⁴	1	1	yes	characteristic
702	C₂×#168	C₂⁴	1	1	yes	characteristic
703	C₂×#168	C₂⁴	1	1	yes	characteristic
704	C₂×#168	C₂⁴	1	1	yes	characteristic
705	#677	—	2	2	no	—
706	#676	—	2	2	no	—
707	#676	—	2	2	no	—
708	#676	—	2	2	no	—
709	C₈×D₅	—	2	2	no	—
710	C₈×D₅	—	2	2	no	—
711	C₈×D₅	—	2	2	no	—
712	C₈×D₅	—	2	2	no	—
713	C₈×D₅	#41	1	4	yes	complemented
714	C₂×#135	—	5	1	no	—
715	C₂×#131	—	5	1	no	—
716	C₂³×C₈	—	5	1	no	—
717	#554	—	5	1	no	—
718	#554	—	5	1	no	—
719	#554	—	5	1	no	—
720	#554	—	10	1	no	—
721	#554	—	10	1	no	—
722	#554	C₂×D₅	1	1	yes	characteristic
723	#553	—	5	1	no	—
724	#553	—	5	1	no	—
725	#553	—	5	1	no	—
726	#553	—	5	1	no	—
727	#553	—	10	1	no	—
728	#553	—	10	1	no	—
729	#552	—	5	1	no	—
730	#552	—	5	1	no	—
731	#552	—	5	1	no	—
732	#552	—	5	1	no	—
733	#552	—	10	1	no	—
734	#552	—	10	1	no	—
735	#547	—	5	1	no	—
736	#547	—	5	1	no	—
737	#547	—	5	1	no	—
738	#547	—	10	1	no	—
739	#547	—	10	1	no	—
740	#547	C₂×D₅	1	1	yes	characteristic
741	#544	—	5	1	no	—
742	#544	—	5	1	no	—
743	#539	—	10	1	no	—
744	#539	—	10	1	no	—
745	#539	—	10	1	no	—
746	#539	—	10	1	no	—
747	#537	—	5	1	no	—
748	#537	—	5	1	no	—
749	#525	—	5	1	no	—
750	#525	—	5	1	no	—
751	#525	—	5	1	no	—
752	#525	—	10	1	no	—
753	#525	—	10	1	no	—
754	#525	—	10	1	no	—
755	#525	—	10	1	no	—
756	#520	—	5	1	no	—
757	#520	—	5	1	no	—
758	#520	—	5	1	no	—
759	#520	—	5	1	no	—
760	C₂²×C₄⋊C₄	—	5	1	no	—
761	C₂²×C₄⋊C₄	—	5	1	no	—
762	#501	—	5	1	no	—
763	#501	—	5	1	no	—
764	#501	—	5	1	no	—
765	#501	—	5	1	no	—
766	#499	—	5	1	no	—
767	#499	—	5	1	no	—
768	#498	—	5	1	no	—
769	#498	C₂×D₅	1	1	yes	characteristic, complemented
770	#485	—	5	1	no	—
771	#485	—	5	1	no	—
772	#485	—	5	1	no	—
773	#485	—	5	1	no	—
774	#484	—	5	1	no	—
775	#484	—	5	1	no	—
776	#484	—	5	1	no	—
777	#484	—	5	1	no	—
778	#483	—	5	1	no	—
779	#483	—	5	1	no	—
780	#483	—	5	1	no	—
781	#483	—	5	1	no	—
782	#483	—	5	1	no	—
783	#483	—	5	1	no	—
784	#483	C₂×D₅	1	1	yes	characteristic
785	#483	C₂×D₅	1	1	yes	characteristic, complemented
786	#482	—	5	1	no	—
787	#482	—	5	1	no	—
788	#482	—	5	1	no	—
789	#482	—	5	1	no	—
790	#481	—	5	1	no	—
791	#481	—	5	1	no	—
792	#481	—	5	1	no	—
793	#481	—	5	1	no	—
794	#481	—	5	1	no	—
795	#481	—	5	1	no	—
796	#481	C₂×D₅	1	1	yes	characteristic
797	#481	C₂×D₅	1	1	yes	characteristic, complemented
798	#480	—	5	1	no	—
799	#480	—	5	1	no	—
800	#480	—	5	1	no	—
801	#480	—	5	1	no	—
802	#479	—	5	1	no	—
803	#479	—	5	1	no	—
804	#479	—	5	1	no	—
805	#479	—	5	1	no	—
806	#478	—	5	1	no	—
807	#478	—	5	1	no	—
808	#478	—	5	1	no	—
809	#478	—	5	1	no	—
810	#476	—	5	1	no	—
811	#476	—	5	1	no	—
812	#476	—	5	1	no	—
813	#476	C₂×D₅	1	1	yes	characteristic, complemented
814	#475	—	5	1	no	—
815	#475	—	5	1	no	—
816	#475	—	5	1	no	—
817	#475	C₂×D₅	1	1	yes	characteristic, complemented
818	#470	—	5	1	no	—
819	#470	—	5	1	no	—
820	#469	—	5	1	no	—
821	#469	—	5	1	no	—
822	#467	—	5	1	no	—
823	#467	—	5	1	no	—
824	#466	—	5	1	no	—
825	#466	—	5	1	no	—
826	#465	—	5	1	no	—
827	#465	—	5	1	no	—
828	#465	—	5	1	no	—
829	#465	—	5	1	no	—
830	#465	—	5	1	no	—
831	#465	—	5	1	no	—
832	#465	C₂×D₅	1	1	yes	characteristic
833	#465	C₂×D₅	1	1	yes	characteristic, complemented
834	#442	—	5	1	no	—
835	#442	—	5	1	no	—
836	#441	—	5	1	no	—
837	#441	—	5	1	no	—
838	C₄×SD₁₆	—	5	1	no	—
839	C₄×SD₁₆	—	5	1	no	—
840	C₄×SD₁₆	—	5	1	no	—
841	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
842	#435	—	5	1	no	—
843	#435	—	5	1	no	—
844	#435	—	5	1	no	—
845	#435	—	5	1	no	—
846	C₈×D₄	—	5	1	no	—
847	C₈×D₄	—	5	1	no	—
848	C₈×D₄	—	5	1	no	—
849	C₈×D₄	C₂×D₅	1	1	yes	characteristic
850	#428	—	5	1	no	—
851	#428	—	5	1	no	—
852	#428	—	5	1	no	—
853	#428	—	5	1	no	—
854	#428	—	5	1	no	—
855	#428	—	5	1	no	—
856	#428	—	5	1	no	—
857	#428	—	5	1	no	—
858	#427	—	5	1	no	—
859	#427	—	5	1	no	—
860	#427	—	5	1	no	—
861	C₂×#106	—	5	1	no	—
862	C₂×#106	—	5	1	no	—
863	C₂×#106	—	5	1	no	—
864	C₂×#106	—	5	1	no	—
865	C₂×#106	—	5	1	no	—
866	C₂×#106	—	5	1	no	—
867	C₂×#106	—	5	1	no	—
868	C₂×#106	—	5	1	no	—
869	C₂×#106	—	5	1	no	—
870	C₂×#106	—	5	1	no	—
871	C₂×#106	—	5	1	no	—
872	C₂×#106	—	5	1	no	—
873	C₂×#106	C₂×D₅	1	1	yes	characteristic
874	C₂×#106	C₂×D₅	1	1	yes	characteristic, complemented
875	#424	—	5	1	no	—
876	#417	—	5	1	no	—
877	#417	—	5	1	no	—
878	#417	—	5	1	no	—
879	#417	—	5	1	no	—
880	#416	—	5	1	no	—
881	#416	—	5	1	no	—
882	#408	—	5	1	no	—
883	#407	—	5	1	no	—
884	#405	—	5	1	no	—
885	C₂³×C₅	—	2	1	no	—
886	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
887	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
888	C₂²×D₅	—	2	2	no	—
889	C₂²×D₅	—	2	2	no	—
890	C₂²×D₅	—	2	2	no	—
891	C₂²×D₅	—	2	1	no	—
892	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
893	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
894	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
895	C₅×Q₈	—	2	1	no	—
896	C₅×Q₈	—	2	1	no	—
897	C₅×Q₈	—	8	1	no	—
898	C₅×Q₈	—	8	1	no	—
899	C₅×D₄	—	2	2	no	—
900	C₅×D₄	—	2	1	no	—
901	C₅×D₄	—	2	1	no	—
902	C₅×D₄	—	4	2	no	—
903	C₅×D₄	—	8	1	no	—
904	C₂×C₄×C₅	—	2	1	no	—
905	C₂×C₄×C₅	—	2	1	no	—
906	C₂×C₄×C₅	—	2	1	no	—
907	C₂×C₄×C₅	—	2	1	no	—
908	C₂×C₄×C₅	—	2	1	no	—
909	C₂×C₄×C₅	—	2	1	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	—	4	2	no	—
916	C₂×C₄×C₅	—	8	1	no	—
917	C₂×C₄×C₅	—	8	1	no	—
918	C₂×C₄×C₅	—	8	1	no	—
919	C₂×C₄×C₅	—	8	1	no	—
920	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
925	C₂²⋊D₅	—	2	2	no	—
926	C₂²⋊D₅	—	2	2	no	—
927	C₂²⋊D₅	—	2	2	no	—
928	C₂²⋊D₅	—	2	2	no	—
929	C₂²⋊D₅	—	4	2	no	—
930	C₂²⋊D₅	—	4	2	no	—
931	C₂²⋊D₅	—	4	2	no	—
932	C₂²⋊D₅	—	8	1	no	—
933	C₂²⋊D₅	—	8	1	no	—
934	C₂×Dic₅	—	2	2	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	—	2	1	no	—
940	C₂×Dic₅	—	2	1	no	—
941	C₂×Dic₅	—	2	1	no	—
942	C₂×Dic₅	—	4	2	no	—
943	C₂×Dic₅	—	4	2	no	—
944	C₂×Dic₅	—	8	1	no	—
945	C₂×Dic₅	—	8	1	no	—
946	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
947	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
948	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
949	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
950	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
951	D₂₀	—	2	2	no	—
952	D₂₀	—	2	2	no	—
953	D₂₀	—	2	1	no	—
954	D₂₀	—	2	1	no	—
955	D₂₀	—	4	2	no	—
956	D₂₀	—	4	2	no	—
957	D₂₀	—	8	1	no	—
958	C₄×D₅	—	2	2	no	—
959	C₄×D₅	—	2	1	no	—
960	C₄×D₅	—	2	1	no	—
961	C₄×D₅	—	2	1	no	—
962	C₄×D₅	—	2	1	no	—
963	C₄×D₅	—	2	2	no	—
964	C₄×D₅	—	4	2	no	—
965	C₄×D₅	—	4	2	no	—
966	C₄×D₅	—	4	2	no	—
967	C₄×D₅	—	8	1	no	—
968	C₄×D₅	—	8	1	no	—
969	C₄×D₅	—	8	1	no	—
970	C₄×D₅	—	8	1	no	—
971	C₄×D₅	—	8	1	no	—
972	C₄×D₅	—	8	1	no	—
973	C₄×D₅	—	8	1	no	—
974	C₄×D₅	—	8	1	no	—
975	C₄×D₅	—	8	1	no	—
976	C₄×D₅	—	8	1	no	—
977	C₄×D₅	C₂×#41	1	2	yes	—
978	C₄×D₅	2₋¹⁺⁴	1	2	yes	—
979	Dic₁₀	—	2	2	no	—
980	Dic₁₀	—	2	1	no	—
981	Dic₁₀	—	2	1	no	—
982	Dic₁₀	—	8	1	no	—
983	Dic₁₀	—	8	1	no	—
984	C₅×C₈	—	2	1	no	—
985	C₅×C₈	—	2	1	no	—
986	C₅×C₈	—	2	1	no	—
987	C₅×C₈	C₂×#41	1	2	yes	—
988	#168	—	2	1	no	—
989	#168	—	2	1	no	—
990	#168	—	2	1	no	—
991	#168	C₂×#41	1	2	yes	—
992	C₂×#41	—	2	1	no	—
993	C₂×#41	—	5	1	no	—
994	C₂×#41	—	5	1	no	—
995	C₂×#41	—	5	1	no	—
996	C₂×#41	—	10	1	no	—
997	C₂×#41	—	10	1	no	—
998	C₂×#41	—	10	1	no	—
999	C₂³×C₄	—	5	1	no	—
1000	C₂³×C₄	—	10	1	no	—
1001	C₂³×C₄	—	10	1	no	—
1002	#135	—	10	4	no	—
1003	C₂×Q₁₆	—	5	1	no	—
1004	C₂×SD₁₆	—	5	1	no	—
1005	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1006	C₂×D₈	—	5	1	no	—
1007	#131	—	10	4	no	—
1008	C₂×M₁₆	—	5	1	no	—
1009	C₂×M₁₆	—	5	1	no	—
1010	C₂×M₁₆	—	5	1	no	—
1011	C₂×M₁₆	—	5	1	no	—
1012	C₂²×C₈	—	5	1	no	—
1013	C₂²×C₈	—	5	1	no	—
1014	C₂²×C₈	—	5	1	no	—
1015	C₂²×C₈	—	5	1	no	—
1016	C₂²×C₈	—	5	1	no	—
1017	C₂²×C₈	—	5	1	no	—
1018	C₂²×C₈	—	10	4	no	—
1019	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1020	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1021	C₄⋊Q₈	—	5	1	no	—
1022	C₄⋊Q₈	—	5	1	no	—
1023	C₄⋊Q₈	—	10	1	no	—
1024	C₄⋊Q₈	—	10	1	no	—
1025	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1026	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1027	#126	—	10	1	no	—
1028	#126	—	10	1	no	—
1029	#126	—	10	1	no	—
1030	#126	—	10	1	no	—
1031	#126	—	10	1	no	—
1032	#126	—	10	1	no	—
1033	#126	—	10	1	no	—
1034	#126	—	10	1	no	—
1035	#125	—	2	1	no	—
1036	#125	—	5	1	no	—
1037	#125	—	5	1	no	—
1038	#125	—	5	1	no	—
1039	#125	—	5	1	no	—
1040	#125	—	10	1	no	—
1041	#125	—	10	1	no	—
1042	#125	—	10	1	no	—
1043	#125	—	10	1	no	—
1044	#125	—	10	1	no	—
1045	#125	—	10	1	no	—
1046	#125	—	10	1	no	—
1047	#125	—	10	1	no	—
1048	#125	—	10	1	no	—
1049	#123	—	2	1	no	—
1050	#123	—	2	1	no	—
1051	#123	—	5	1	no	—
1052	#123	—	5	1	no	—
1053	#123	—	10	1	no	—
1054	#123	—	10	1	no	—
1055	#123	—	10	1	no	—
1056	#123	—	10	1	no	—
1057	#123	—	10	1	no	—
1058	#123	—	10	1	no	—
1059	#123	—	10	1	no	—
1060	#123	—	10	1	no	—
1061	#123	—	10	1	no	—
1062	#123	—	10	1	no	—
1063	#123	—	10	1	no	—
1064	#123	—	10	1	no	—
1065	#123	—	10	1	no	—
1066	#123	—	10	1	no	—
1067	#123	—	10	1	no	—
1068	#123	—	10	1	no	—
1069	C₂²⋊Q₈	—	2	1	no	—
1070	C₂²⋊Q₈	—	2	1	no	—
1071	C₂²⋊Q₈	—	2	1	no	—
1072	C₂²⋊Q₈	—	5	1	no	—
1073	C₂²⋊Q₈	—	5	1	no	—
1074	C₂²⋊Q₈	—	5	1	no	—
1075	C₂²⋊Q₈	—	5	1	no	—
1076	C₂²⋊Q₈	—	5	1	no	—
1077	C₂²⋊Q₈	—	5	1	no	—
1078	C₂²⋊Q₈	—	5	1	no	—
1079	C₂²⋊Q₈	—	5	1	no	—
1080	C₂²⋊Q₈	—	10	1	no	—
1081	C₂²⋊Q₈	—	10	1	no	—
1082	C₂²⋊Q₈	—	10	1	no	—
1083	C₂²⋊Q₈	—	10	1	no	—
1084	C₂²⋊Q₈	—	10	1	no	—
1085	C₂²⋊Q₈	—	10	1	no	—
1086	C₂²⋊Q₈	—	10	1	no	—
1087	C₂²⋊Q₈	—	10	1	no	—
1088	C₂²⋊Q₈	—	10	1	no	—
1089	C₂²⋊Q₈	—	10	1	no	—
1090	C₂²⋊Q₈	—	10	1	no	—
1091	C₂²⋊Q₈	—	10	1	no	—
1092	C₂²⋊Q₈	—	10	1	no	—
1093	C₂²⋊Q₈	—	10	1	no	—
1094	C₂²⋊Q₈	—	10	1	no	—
1095	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1096	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1097	#121	—	5	1	no	—
1098	#121	—	5	1	no	—
1099	#121	—	5	1	no	—
1100	#121	—	5	1	no	—
1101	#121	—	5	1	no	—
1102	#121	—	5	1	no	—
1103	#121	—	5	1	no	—
1104	#121	—	5	1	no	—
1105	#121	—	10	1	no	—
1106	#121	—	10	1	no	—
1107	#121	—	10	1	no	—
1108	#121	—	10	1	no	—
1109	#121	—	10	1	no	—
1110	#121	—	10	1	no	—
1111	#121	—	10	1	no	—
1112	#121	—	10	1	no	—
1113	#121	—	10	1	no	—
1114	#121	—	10	1	no	—
1115	#121	C₂²×D₅	1	1	yes	characteristic
1116	#121	C₂²×D₅	1	1	yes	characteristic
1117	#120	—	5	1	no	—
1118	#120	—	5	1	no	—
1119	#120	—	10	1	no	—
1120	#120	—	10	1	no	—
1121	C₄×Q₈	—	5	1	no	—
1122	C₄×Q₈	—	5	1	no	—
1123	C₄×Q₈	—	5	1	no	—
1124	C₄×Q₈	—	10	1	no	—
1125	C₄×Q₈	—	10	1	no	—
1126	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1127	C₄×D₄	—	2	1	no	—
1128	C₄×D₄	—	5	1	no	—
1129	C₄×D₄	—	5	1	no	—
1130	C₄×D₄	—	5	1	no	—
1131	C₄×D₄	—	5	1	no	—
1132	C₄×D₄	—	5	1	no	—
1133	C₄×D₄	—	5	1	no	—
1134	C₄×D₄	—	10	1	no	—
1135	C₄×D₄	—	10	1	no	—
1136	C₄×D₄	—	10	1	no	—
1137	C₄×D₄	—	10	1	no	—
1138	C₄×D₄	—	10	1	no	—
1139	C₄×D₄	—	10	1	no	—
1140	C₄×D₄	—	10	1	no	—
1141	C₄×D₄	—	10	1	no	—
1142	C₄×D₄	—	10	1	no	—
1143	C₄×D₄	—	10	1	no	—
1144	C₄×D₄	—	10	1	no	—
1145	C₄×D₄	—	10	1	no	—
1146	C₄×D₄	—	10	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	C₂²×D₅	1	1	yes	characteristic
1156	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1157	#117	—	5	1	no	—
1158	#117	—	5	1	no	—
1159	#117	—	5	1	no	—
1160	#117	—	5	1	no	—
1161	#117	—	5	1	no	—
1162	#117	—	5	1	no	—
1163	#117	—	5	1	no	—
1164	#117	—	10	1	no	—
1165	#117	—	10	1	no	—
1166	#117	—	10	1	no	—
1167	#117	—	10	1	no	—
1168	#117	—	10	1	no	—
1169	#117	—	10	1	no	—
1170	C₂×C₄⋊C₄	—	5	1	no	—
1171	C₂×C₄⋊C₄	—	5	1	no	—
1172	C₂×C₄⋊C₄	—	5	1	no	—
1173	C₂×C₄⋊C₄	—	5	1	no	—
1174	C₂×C₄⋊C₄	—	5	1	no	—
1175	C₂×C₄⋊C₄	—	5	1	no	—
1176	C₂×C₄⋊C₄	—	5	1	no	—
1177	C₂×C₄⋊C₄	—	5	1	no	—
1178	C₂×C₄⋊C₄	—	5	1	no	—
1179	C₂×C₄⋊C₄	—	5	1	no	—
1180	C₂×C₄⋊C₄	—	5	1	no	—
1181	C₂×C₄⋊C₄	—	5	1	no	—
1182	C₂×C₄⋊C₄	—	10	1	no	—
1183	C₂×C₄⋊C₄	—	10	1	no	—
1184	C₂×C₄⋊C₄	—	10	1	no	—
1185	C₂×C₄⋊C₄	—	10	1	no	—
1186	C₂×C₄⋊C₄	—	10	1	no	—
1187	C₂×C₄⋊C₄	—	10	1	no	—
1188	C₂×C₄⋊C₄	—	10	1	no	—
1189	C₂×C₄⋊C₄	—	10	1	no	—
1190	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1191	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1192	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1193	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1194	#107	—	5	1	no	—
1195	#107	—	5	1	no	—
1196	#107	—	5	1	no	—
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	#106	—	5	1	no	—
1205	#106	—	5	1	no	—
1206	#106	—	5	1	no	—
1207	#106	—	5	1	no	—
1208	#106	—	5	1	no	—
1209	#106	—	5	1	no	—
1210	#106	—	5	1	no	—
1211	#106	—	5	1	no	—
1212	#106	—	5	1	no	—
1213	#106	—	5	1	no	—
1214	#106	—	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	—	5	1	no	—
1220	#106	—	5	1	no	—
1221	#106	C₂²×D₅	1	1	yes	characteristic
1222	#106	C₂²×D₅	1	1	yes	characteristic
1223	#106	C₂²×D₅	1	1	yes	characteristic
1224	#106	C₂²×D₅	1	1	yes	characteristic
1225	#106	C₂²×D₅	1	1	yes	characteristic
1226	#106	C₂²×D₅	1	1	yes	characteristic
1227	#106	C₂²×D₅	1	1	yes	characteristic
1228	#106	C₂²×D₅	1	1	yes	characteristic
1229	#106	C₂²×D₅	1	1	yes	characteristic
1230	C₄⋊C₈	—	5	1	no	—
1231	C₄⋊C₈	—	5	1	no	—
1232	C₄⋊C₈	—	5	1	no	—
1233	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1242	#103	—	5	1	no	—
1243	#103	C₂²×D₅	1	1	yes	characteristic
1244	#103	C₂²×D₅	1	1	yes	characteristic
1245	#103	C₂²×D₅	1	1	yes	characteristic
1246	#102	—	5	1	no	—
1247	#102	—	5	1	no	—
1248	#102	—	5	1	no	—
1249	#102	—	5	1	no	—
1250	#102	—	5	1	no	—
1251	#102	—	5	1	no	—
1252	#102	—	5	1	no	—
1253	#102	—	5	1	no	—
1254	#102	—	5	1	no	—
1255	#102	C₂²×D₅	1	1	yes	characteristic
1256	#102	C₂²×D₅	1	1	yes	characteristic
1257	#102	C₂²×D₅	1	1	yes	characteristic
1258	C₂²⋊C₈	—	5	1	no	—
1259	C₂²⋊C₈	—	5	1	no	—
1260	C₂²⋊C₈	—	5	1	no	—
1261	C₂²⋊C₈	—	5	1	no	—
1262	C₂²⋊C₈	—	5	1	no	—
1263	C₂²⋊C₈	—	5	1	no	—
1264	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1265	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1266	#97	—	5	1	no	—
1267	#97	—	5	1	no	—
1268	C₄×C₈	—	5	1	no	—
1269	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1270	C₂²×C₅	—	2	1	no	—
1271	C₂²×C₅	—	2	1	no	—
1272	C₂²×C₅	—	2	1	no	—
1273	C₂²×C₅	—	2	1	no	—
1274	C₂²×C₅	—	2	1	no	—
1275	C₂²×C₅	—	4	1	no	—
1276	C₂²×C₅	—	4	1	no	—
1277	C₂²×C₅	—	4	1	no	—
1278	C₂²×C₅	#577	1	2	yes	—
1279	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1280	C₂×D₅	—	2	8	no	—
1281	C₂×D₅	—	2	1	no	—
1282	C₂×D₅	—	2	1	no	—
1283	C₂×D₅	—	2	1	no	—
1284	C₂×D₅	—	2	1	no	—
1285	C₂×D₅	—	2	1	no	—
1286	C₂×D₅	—	2	1	no	—
1287	C₂×D₅	—	2	1	no	—
1288	C₂×D₅	—	4	1	no	—
1289	C₂×D₅	—	4	1	no	—
1290	C₂×D₅	—	4	1	no	—
1291	C₂×D₅	#547	1	2	yes	—
1292	C₂×D₅	#577	1	2	yes	—
1293	C₄×C₅	—	2	1	no	—
1294	C₄×C₅	—	2	1	no	—
1295	C₄×C₅	—	2	1	no	—
1296	C₄×C₅	—	2	1	no	—
1297	C₄×C₅	—	4	1	no	—
1298	C₄×C₅	—	4	1	no	—
1299	C₄×C₅	—	4	1	no	—
1300	C₄×C₅	—	4	1	no	—
1301	C₄×C₅	—	4	1	no	—
1302	C₄×C₅	—	4	1	no	—
1303	C₄×C₅	—	4	1	no	—
1304	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1305	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1306	Dic₅	—	2	1	no	—
1307	Dic₅	—	2	1	no	—
1308	Dic₅	—	2	1	no	—
1309	Dic₅	—	2	1	no	—
1310	Dic₅	—	4	1	no	—
1311	Dic₅	—	4	1	no	—
1312	Dic₅	—	4	1	no	—
1313	Dic₅	—	4	1	no	—
1314	Dic₅	—	4	1	no	—
1315	Dic₅	—	4	1	no	—
1316	Dic₅	—	4	1	no	—
1317	Dic₅	#547	1	2	yes	—
1318	C₂⁴	—	5	1	no	—
1319	#41	—	8	2	no	—
1320	#41	—	10	2	no	—
1321	#41	—	10	2	no	—
1322	#41	—	10	2	no	—
1323	#41	—	10	2	no	—
1324	#41	—	10	2	no	—
1325	#41	—	10	2	no	—
1326	#41	—	40	2	no	—
1327	#41	—	40	2	no	—
1328	#41	—	40	2	no	—
1329	C₂×Q₈	—	2	1	no	—
1330	C₂×Q₈	—	2	1	no	—
1331	C₂×Q₈	—	5	1	no	—
1332	C₂×Q₈	—	5	1	no	—
1333	C₂×Q₈	—	10	1	no	—
1334	C₂×Q₈	—	10	1	no	—
1335	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1336	C₂×D₄	—	2	1	no	—
1337	C₂×D₄	—	2	1	no	—
1338	C₂×D₄	—	5	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	—	5	1	no	—
1344	C₂×D₄	—	5	1	no	—
1345	C₂×D₄	—	10	1	no	—
1346	C₂×D₄	—	10	1	no	—
1347	C₂×D₄	—	10	1	no	—
1348	C₂×D₄	—	10	1	no	—
1349	C₂×D₄	—	10	1	no	—
1350	C₂×D₄	—	10	1	no	—
1351	C₂×D₄	—	10	1	no	—
1352	C₂×D₄	—	10	1	no	—
1353	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1354	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1355	C₂²×C₄	—	2	1	no	—
1356	C₂²×C₄	—	2	1	no	—
1357	C₂²×C₄	—	2	1	no	—
1358	C₂²×C₄	—	2	1	no	—
1359	C₂²×C₄	—	2	1	no	—
1360	C₂²×C₄	—	5	1	no	—
1361	C₂²×C₄	—	5	1	no	—
1362	C₂²×C₄	—	5	1	no	—
1363	C₂²×C₄	—	5	1	no	—
1364	C₂²×C₄	—	5	1	no	—
1365	C₂²×C₄	—	5	1	no	—
1366	C₂²×C₄	—	10	2	no	—
1367	C₂²×C₄	—	10	2	no	—
1368	C₂²×C₄	—	10	1	no	—
1369	C₂²×C₄	—	10	1	no	—
1370	C₂²×C₄	—	10	1	no	—
1371	C₂²×C₄	—	10	1	no	—
1372	C₂²×C₄	—	10	1	no	—
1373	C₂²×C₄	—	10	1	no	—
1374	C₂²×C₄	—	10	1	no	—
1375	C₂²×C₄	—	10	1	no	—
1376	C₂²×C₄	—	10	1	no	—
1377	C₂²×C₄	—	10	1	no	—
1378	C₂²×C₄	—	10	1	no	—
1379	C₂²×C₄	—	10	1	no	—
1380	C₂²×C₄	—	10	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	—	40	2	no	—
1386	C₂²×C₄	—	40	2	no	—
1387	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1388	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1389	Q₁₆	—	10	2	no	—
1390	SD₁₆	—	2	2	no	—
1391	SD₁₆	—	10	2	no	—
1392	D₈	—	10	2	no	—
1393	M₁₆	—	10	2	no	—
1394	M₁₆	—	10	2	no	—
1395	M₁₆	—	10	2	no	—
1396	M₁₆	—	10	2	no	—
1397	C₂×C₈	—	2	2	no	—
1398	C₂×C₈	—	2	2	no	—
1399	C₂×C₈	—	5	1	no	—
1400	C₂×C₈	—	5	4	no	—
1401	C₂×C₈	—	5	1	no	—
1402	C₂×C₈	—	5	1	no	—
1403	C₂×C₈	—	5	1	no	—
1404	C₂×C₈	—	10	2	no	—
1405	C₂×C₈	—	10	2	no	—
1406	C₂×C₈	—	10	2	no	—
1407	C₂×C₈	—	10	2	no	—
1408	C₂×C₈	—	10	2	no	—
1409	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1410	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1411	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1412	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	—	2	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	—	5	1	no	—
1423	C₄⋊C₄	—	5	1	no	—
1424	C₄⋊C₄	—	5	1	no	—
1425	C₄⋊C₄	—	5	1	no	—
1426	C₄⋊C₄	—	5	1	no	—
1427	C₄⋊C₄	—	5	1	no	—
1428	C₄⋊C₄	—	5	1	no	—
1429	C₄⋊C₄	—	5	1	no	—
1430	C₄⋊C₄	—	5	1	no	—
1431	C₄⋊C₄	—	5	1	no	—
1432	C₄⋊C₄	—	5	1	no	—
1433	C₄⋊C₄	—	10	1	no	—
1434	C₄⋊C₄	—	10	1	no	—
1435	C₄⋊C₄	—	10	1	no	—
1436	C₄⋊C₄	—	10	1	no	—
1437	C₄⋊C₄	—	10	1	no	—
1438	C₄⋊C₄	—	10	1	no	—
1439	C₄⋊C₄	—	10	1	no	—
1440	C₄⋊C₄	—	10	1	no	—
1441	C₄⋊C₄	—	10	1	no	—
1442	C₄⋊C₄	—	10	1	no	—
1443	C₄⋊C₄	—	10	1	no	—
1444	C₄⋊C₄	—	10	1	no	—
1445	C₄⋊C₄	—	10	1	no	—
1446	C₄⋊C₄	—	10	1	no	—
1447	C₄⋊C₄	—	10	1	no	—
1448	C₄⋊C₄	—	10	1	no	—
1449	C₄⋊C₄	—	10	1	no	—
1450	C₄⋊C₄	—	10	1	no	—
1451	C₄⋊C₄	—	10	1	no	—
1452	C₄⋊C₄	—	10	1	no	—
1453	C₄⋊C₄	—	10	1	no	—
1454	C₄⋊C₄	—	10	1	no	—
1455	C₄⋊C₄	—	10	1	no	—
1456	C₄⋊C₄	—	10	1	no	—
1457	C₄⋊C₄	—	10	1	no	—
1458	C₄⋊C₄	—	10	1	no	—
1459	C₄⋊C₄	—	10	1	no	—
1460	C₄⋊C₄	—	10	1	no	—
1461	C₄⋊C₄	—	10	1	no	—
1462	C₄⋊C₄	—	10	1	no	—
1463	C₄⋊C₄	—	10	1	no	—
1464	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1465	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1466	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1467	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1468	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1469	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1470	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
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	D₄×D₅	1	1	yes	characteristic
1506	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1507	C₄²	—	2	1	no	—
1508	C₄²	—	5	1	no	—
1509	C₄²	—	10	1	no	—
1510	C₄²	—	10	1	no	—
1511	C₄²	—	10	1	no	—
1512	C₄²	—	10	1	no	—
1513	C₄²	—	10	1	no	—
1514	C₄²	—	10	1	no	—
1515	C₄²	—	10	1	no	—
1516	C₄²	—	10	1	no	—
1517	C₄²	—	10	1	no	—
1518	C₄²	C₂³×D₅	1	1	yes	characteristic
1519	C₂×C₅	—	2	2	no	—
1520	C₂×C₅	—	4	1	no	—
1521	C₂×C₅	—	8	1	no	—
1522	C₂×C₅	C₂×#547	1	1	yes	characteristic
1523	C₂×C₅	C₂×#577	1	1	yes	characteristic
1524	C₂×C₅	C₂×#577	1	1	yes	characteristic
1525	D₅	—	2	2	no	—
1526	D₅	—	2	2	no	—
1527	D₅	—	4	1	no	—
1528	D₅	—	8	1	no	—
1529	C₂³	—	2	1	no	—
1530	C₂³	—	5	1	no	—
1531	C₂³	—	5	1	no	—
1532	C₂³	—	5	1	no	—
1533	C₂³	—	10	2	no	—
1534	C₂³	—	10	2	no	—
1535	C₂³	—	10	2	no	—
1536	C₂³	—	10	1	no	—
1537	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1538	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1539	Q₈	—	2	1	no	—
1540	Q₈	—	2	1	no	—
1541	Q₈	—	8	1	no	—
1542	Q₈	—	8	1	no	—
1543	Q₈	—	10	2	no	—
1544	Q₈	—	10	1	no	—
1545	Q₈	—	10	1	no	—
1546	Q₈	—	40	1	no	—
1547	Q₈	—	40	1	no	—
1548	D₄	—	2	2	no	—
1549	D₄	—	2	1	no	—
1550	D₄	—	2	1	no	—
1551	D₄	—	4	2	no	—
1552	D₄	—	8	1	no	—
1553	D₄	—	10	2	no	—
1554	D₄	—	10	2	no	—
1555	D₄	—	10	2	no	—
1556	D₄	—	10	2	no	—
1557	D₄	—	10	2	no	—
1558	D₄	—	10	2	no	—
1559	D₄	—	10	1	no	—
1560	D₄	—	10	1	no	—
1561	D₄	—	20	2	no	—
1562	D₄	—	20	2	no	—
1563	D₄	—	20	2	no	—
1564	D₄	—	20	2	no	—
1565	D₄	—	20	2	no	—
1566	D₄	—	40	1	no	—
1567	D₄	—	40	1	no	—
1568	D₄	—	40	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	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	2	1	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	4	2	no	—
1581	C₂×C₄	—	5	1	no	—
1582	C₂×C₄	—	5	2	no	—
1583	C₂×C₄	—	5	2	no	—
1584	C₂×C₄	—	5	1	no	—
1585	C₂×C₄	—	5	1	no	—
1586	C₂×C₄	—	5	1	no	—
1587	C₂×C₄	—	5	1	no	—
1588	C₂×C₄	—	8	1	no	—
1589	C₂×C₄	—	8	1	no	—
1590	C₂×C₄	—	8	1	no	—
1591	C₂×C₄	—	8	1	no	—
1592	C₂×C₄	—	10	2	no	—
1593	C₂×C₄	—	10	2	no	—
1594	C₂×C₄	—	10	2	no	—
1595	C₂×C₄	—	10	1	no	—
1596	C₂×C₄	—	10	1	no	—
1597	C₂×C₄	—	10	1	no	—
1598	C₂×C₄	—	10	1	no	—
1599	C₂×C₄	—	10	1	no	—
1600	C₂×C₄	—	10	1	no	—
1601	C₂×C₄	—	10	1	no	—
1602	C₂×C₄	—	10	1	no	—
1603	C₂×C₄	—	10	1	no	—
1604	C₂×C₄	—	10	1	no	—
1605	C₂×C₄	—	10	1	no	—
1606	C₂×C₄	—	20	2	no	—
1607	C₂×C₄	—	20	2	no	—
1608	C₂×C₄	—	20	2	no	—
1609	C₂×C₄	—	20	2	no	—
1610	C₂×C₄	—	20	2	no	—
1611	C₂×C₄	—	40	1	no	—
1612	C₂×C₄	—	40	1	no	—
1613	C₂×C₄	—	40	1	no	—
1614	C₂×C₄	—	40	1	no	—
1615	C₂×C₄	—	40	1	no	—
1616	C₂×C₄	—	40	1	no	—
1617	C₂×C₄	—	40	1	no	—
1618	C₂×C₄	—	40	1	no	—
1619	C₂×C₄	—	40	1	no	—
1620	C₂×C₄	—	40	1	no	—
1621	C₂×C₄	—	40	1	no	—
1622	C₂×C₄	—	40	1	no	—
1623	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1624	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1625	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1626	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1627	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1628	C₈	—	2	1	no	—
1629	C₈	—	2	1	no	—
1630	C₈	—	2	1	no	—
1631	C₈	—	5	2	no	—
1632	C₈	—	10	1	no	—
1633	C₈	—	10	1	no	—
1634	C₈	—	10	1	no	—
1635	C₈	D₅×#41	1	2	yes	—
1636	C₅	#61259	1	1	yes	characteristic, complemented, Sylow
1637	C₂²	—	2	1	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	1	no	—
1642	C₂²	—	4	1	no	—
1643	C₂²	—	4	1	no	—
1644	C₂²	—	4	1	no	—
1645	C₂²	—	5	2	no	—
1646	C₂²	—	5	2	no	—
1647	C₂²	—	10	8	no	—
1648	C₂²	—	10	1	no	—
1649	C₂²	—	10	1	no	—
1650	C₂²	—	10	1	no	—
1651	C₂²	—	10	1	no	—
1652	C₂²	—	10	1	no	—
1653	C₂²	—	10	1	no	—
1654	C₂²	—	10	1	no	—
1655	C₂²	—	20	1	no	—
1656	C₂²	—	20	1	no	—
1657	C₂²	—	20	1	no	—
1658	C₂²	#66096	1	2	yes	—
1659	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1660	C₄	—	2	1	no	—
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	4	1	no	—
1665	C₄	—	4	1	no	—
1666	C₄	—	4	1	no	—
1667	C₄	—	4	1	no	—
1668	C₄	—	4	1	no	—
1669	C₄	—	4	1	no	—
1670	C₄	—	4	1	no	—
1671	C₄	—	5	2	no	—
1672	C₄	—	10	1	no	—
1673	C₄	—	10	1	no	—
1674	C₄	—	10	1	no	—
1675	C₄	—	10	1	no	—
1676	C₄	—	20	1	no	—
1677	C₄	—	20	1	no	—
1678	C₄	—	20	1	no	—
1679	C₄	—	20	1	no	—
1680	C₄	—	20	1	no	—
1681	C₄	—	20	1	no	—
1682	C₄	—	20	1	no	—
1683	C₄	C₂×D₅×#41	1	1	yes	characteristic
1684	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1685	C₂	—	2	2	no	—
1686	C₂	—	4	1	no	—
1687	C₂	—	8	1	no	—
1688	C₂	—	10	2	no	—
1689	C₂	—	10	2	no	—
1690	C₂	—	20	1	no	—
1691	C₂	—	40	1	no	—
1692	C₂	D₅×#547	1	1	yes	characteristic
1693	C₂	C₂×#66096	1	1	yes	characteristic
1694	C₂	D₅×#577	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×#3335	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3335	D₅
hypocenter	C₅	#61259
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3335

Complements

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

N	H ≅ G/N	type
1. #10618848	C₂	semidirect
2. #10618602	C₂	semidirect
3. C₅×#3335	C₂	semidirect
4. #10615355	C₂	semidirect
5. #10615250	C₂	semidirect
6. #10613630	C₂	semidirect
7. #10613623	C₂	semidirect
8. #10613169	C₂	semidirect
9. #10613168	C₂	semidirect
10. #10613161	C₂	semidirect
11. #10613158	C₂	semidirect
12. #10613066	C₂	semidirect
13. #10613059	C₂	semidirect
14. #10613056	C₂	semidirect
15. #10613052	C₂	semidirect
16. #10612814	C₂	semidirect
17. #10612794	C₂	semidirect
18. #10612761	C₂	semidirect
19. #10612745	C₂	semidirect
20. #10612404	C₂	semidirect
21. #10612391	C₂	semidirect
22. #10612387	C₂	semidirect
23. #10612379	C₂	semidirect
24. #10611420	C₂	semidirect
25. #10611381	C₂	semidirect
26. #10611152	C₂	semidirect
27. #10611145	C₂	semidirect
28. #10610856	C₂	semidirect
29. #10610855	C₂	semidirect
30. #10610847	C₂	semidirect
31. C₂×D₅×#106	C₂	semidirect
80. C₅×#498	C₂²	semidirect
82. C₅×#483	C₂²	semidirect
84. C₅×#481	C₂²	semidirect
85. C₅×#476	C₂²	semidirect
86. C₅×#475	C₂²	semidirect
88. C₅×#465	C₂²	semidirect
89. C₄×C₅×SD₁₆	C₂²	semidirect
92. C₂×C₅×#106	C₂²	semidirect
94. #65460	C₂²	semidirect
95. SD₁₆×Dic₅	C₂²	semidirect
97. #65403	C₂²	semidirect
100. #65395	C₂²	semidirect
102. #65383	C₂²	semidirect
103. #65373	C₂²	semidirect
104. #65369	C₂²	semidirect
105. #65369	C₂²	semidirect
106. #65341	C₂²	semidirect
108. #65334	C₂²	semidirect
110. #65328	C₂²	semidirect
112. #65324	C₂²	semidirect
114. #65319	C₂²	semidirect
115. #65311	C₂²	semidirect
116. #65303	C₂²	semidirect
118. #65298	C₂²	semidirect
119. #65260	C₂²	semidirect
121. #65257	C₂²	semidirect
123. #65253	C₂²	semidirect
124. #65253	C₂²	semidirect
127. #65160	C₂²	semidirect
128. #65159	C₂²	semidirect
129. #65156	C₂²	semidirect
130. #65155	C₂²	semidirect
132. #65153	C₂²	semidirect
135. #65152	C₂²	semidirect
138. #65151	C₂²	semidirect
143. #65150	C₂²	semidirect
144. #65150	C₂²	semidirect
146. #65149	C₂²	semidirect
155. D₅×#106	C₂²	semidirect
156. #65147	C₂²	semidirect
157. #65146	C₂²	semidirect
158. #65145	C₂²	semidirect
159. #65145	C₂²	semidirect
160. #65144	C₂²	semidirect
161. #65143	C₂²	semidirect
162. #65141	C₂²	semidirect
163. #65136	C₂²	semidirect
166. #65118	C₂²	semidirect
167. #65105	C₂²	semidirect
168. #65103	C₂²	semidirect
172. #65094	C₂²	semidirect
176. #65085	C₂²	semidirect
177. #65080	C₂²	semidirect
178. #65078	C₂²	semidirect
179. #65074	C₂²	semidirect
180. #65073	C₂²	semidirect
181. #65071	C₂²	semidirect
182. #65066	C₂²	semidirect
189. #65055	C₂²	semidirect
190. #65050	C₂²	semidirect
191. #65026	C₂²	semidirect
197. #65012	C₂²	semidirect
199. C₄×#677	C₂²	semidirect
202. #64972	C₂²	semidirect
499. #3335	D₅	semidirect
713. C₈×D₅	#41	semidirect
769. #498	C₂×D₅	semidirect
785. #483	C₂×D₅	semidirect
797. #481	C₂×D₅	semidirect
813. #476	C₂×D₅	semidirect
817. #475	C₂×D₅	semidirect
833. #465	C₂×D₅	semidirect
841. C₄×SD₁₆	C₂×D₅	semidirect
874. C₂×#106	C₂×D₅	semidirect
1636. C₅	#61259	semidirect

Maximal subgroups

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

subgroup	index
#10618848	2
#10618602	2
C₅×#3335	2
#10615355	2
#10615250	2
#10613630	2
#10613623	2
#10613169	2
#10613168	2
#10613161	2
#10613158	2
#10613066	2
#10613059	2
#10613056	2
#10613052	2
#10612814	2
#10612794	2
#10612761	2
#10612745	2
#10612404	2
#10612391	2
#10612387	2
#10612379	2
#10611420	2
#10611381	2
#10611152	2
#10611145	2
#10610856	2
#10610855	2
#10610847	2
C₂×D₅×#106	2
#61259	5