Subgroups — #12996236

Order 1280.

1814 conjugacy classes of subgroups.

The subgroup lattice has 1730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618858	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618676	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3366	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615364	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615312	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613458	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613458	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613454	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613452	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613307	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613306	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612929	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612926	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612900	C₂	1	1	yes	maximal, characteristic, complemented
15	D₅×#478	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612814	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612793	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612086	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612086	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612083	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612078	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612078	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612073	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611710	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611677	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611616	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611615	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611605	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611600	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611346	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611327	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#554	C₂²	1	1	yes	characteristic, complemented
33	C₅×#550	C₂²	1	1	yes	characteristic
34	#66163	—	2	1	no	—
35	#66162	—	2	1	no	—
36	#66063	C₂²	1	1	yes	characteristic, complemented
37	#66060	C₂²	1	1	yes	characteristic, complemented
38	#66053	C₂²	1	1	yes	characteristic
39	#66053	C₂²	1	1	yes	characteristic
40	#66051	C₂²	1	1	yes	characteristic
41	#66051	C₂²	1	1	yes	characteristic
42	#66051	C₂²	1	1	yes	characteristic
43	#66050	C₂²	1	1	yes	characteristic
44	#66029	C₂²	1	1	yes	characteristic, complemented
45	#66029	C₂²	1	1	yes	characteristic, complemented
46	#66023	C₂²	1	1	yes	characteristic, complemented
47	D₅×#125	C₂²	1	1	yes	characteristic, complemented
48	#65981	—	2	1	no	—
49	#65980	—	2	1	no	—
50	#65972	—	2	1	no	—
51	#65972	—	2	1	no	—
52	#65965	—	2	1	no	—
53	#65963	—	2	1	no	—
54	#65948	—	2	1	no	—
55	#65947	—	2	1	no	—
56	#65947	—	2	1	no	—
57	#65944	—	2	1	no	—
58	#65944	—	2	1	no	—
59	D₅×#121	—	2	1	no	—
60	#65914	C₂²	1	1	yes	characteristic
61	#65913	C₂²	1	1	yes	characteristic
62	#65913	C₂²	1	1	yes	characteristic, complemented
63	#65897	C₂²	1	1	yes	characteristic
64	#65896	C₂²	1	1	yes	characteristic, complemented
65	#65896	C₂²	1	1	yes	characteristic, complemented
66	#65892	C₂²	1	1	yes	characteristic
67	#65892	C₂²	1	1	yes	characteristic
68	#65892	C₂²	1	1	yes	characteristic, complemented
69	#65892	C₂²	1	1	yes	characteristic, complemented
70	#65885	C₂²	1	1	yes	characteristic, complemented
71	#65882	C₂²	1	1	yes	characteristic, complemented
72	#65879	C₂²	1	1	yes	characteristic
73	#65879	C₂²	1	1	yes	characteristic
74	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
75	#65849	—	2	1	no	—
76	#65841	—	2	1	no	—
77	C₅×#490	C₂²	1	1	yes	characteristic, complemented
78	C₅×#490	C₂²	1	1	yes	characteristic, complemented
79	C₅×#486	C₂²	1	1	yes	characteristic, complemented
80	C₅×#478	C₂²	1	1	yes	characteristic, complemented
81	C₅×#478	C₂²	1	1	yes	characteristic, complemented
82	C₅×#476	C₂²	1	1	yes	characteristic, complemented
83	C₅×#459	C₂²	1	1	yes	characteristic, complemented
84	C₅×#459	C₂²	1	1	yes	characteristic, complemented
85	C₅×#459	C₂²	1	1	yes	characteristic, complemented
86	C₅×#446	C₂²	1	1	yes	characteristic, complemented
87	C₅×#442	C₂²	1	1	yes	characteristic, complemented
88	C₅×#442	C₂²	1	1	yes	characteristic, complemented
89	C₄×C₅×D₈	C₂²	1	1	yes	characteristic, complemented
90	#65448	C₂²	1	1	yes	characteristic, complemented
91	#65448	C₂²	1	1	yes	characteristic, complemented
92	#65446	C₂²	1	1	yes	characteristic, complemented
93	#65446	C₂²	1	1	yes	characteristic, complemented
94	#65446	C₂²	1	1	yes	characteristic, complemented
95	#65446	C₂²	1	1	yes	characteristic, complemented
96	#65445	C₂²	1	1	yes	characteristic
97	#65445	C₂²	1	1	yes	characteristic
98	#65445	C₂²	1	1	yes	characteristic
99	#65439	C₂²	1	1	yes	characteristic, complemented
100	#65439	C₂²	1	1	yes	characteristic, complemented
101	#65439	C₂²	1	1	yes	characteristic, complemented
102	#65376	C₂²	1	1	yes	characteristic
103	#65369	C₂²	1	1	yes	characteristic, complemented
104	#65361	C₂²	1	1	yes	characteristic, complemented
105	#65361	C₂²	1	1	yes	characteristic, complemented
106	#65361	C₂²	1	1	yes	characteristic, complemented
107	#65360	C₂²	1	1	yes	characteristic, complemented
108	#65360	C₂²	1	1	yes	characteristic, complemented
109	#65359	C₂²	1	1	yes	characteristic, complemented
110	#65355	C₂²	1	1	yes	characteristic
111	#65355	C₂²	1	1	yes	characteristic
112	#65354	C₂²	1	1	yes	characteristic, complemented
113	#65353	C₂²	1	1	yes	characteristic, complemented
114	#65313	C₂²	1	1	yes	characteristic, complemented
115	#65303	C₂²	1	1	yes	characteristic
116	#65303	C₂²	1	1	yes	characteristic
117	#65303	C₂²	1	1	yes	characteristic, complemented
118	#65303	C₂²	1	1	yes	characteristic, complemented
119	C₄×#686	C₂²	1	1	yes	characteristic
120	C₄×#686	C₂²	1	1	yes	characteristic, complemented
121	#65298	C₂²	1	1	yes	characteristic, complemented
122	#65298	C₂²	1	1	yes	characteristic, complemented
123	#65298	C₂²	1	1	yes	characteristic, complemented
124	#65298	C₂²	1	1	yes	characteristic, complemented
125	#65297	C₂²	1	1	yes	characteristic, complemented
126	#65296	C₂²	1	1	yes	characteristic, complemented
127	#65180	C₂²	1	1	yes	characteristic
128	#65174	C₂²	1	1	yes	characteristic, complemented
129	#65169	C₂²	1	1	yes	characteristic, complemented
130	D₅×#107	C₂²	1	1	yes	characteristic, complemented
131	#65160	C₂²	1	1	yes	characteristic
132	#65159	C₂²	1	1	yes	characteristic
133	#65155	C₂²	1	1	yes	characteristic, complemented
134	#65152	C₂²	1	1	yes	characteristic, complemented
135	#65150	C₂²	1	1	yes	characteristic, complemented
136	#65150	C₂²	1	1	yes	characteristic, complemented
137	#65149	C₂²	1	1	yes	characteristic, complemented
138	D₅×#106	C₂²	1	1	yes	characteristic, complemented
139	#65136	C₂²	1	1	yes	characteristic
140	#65136	C₂²	1	1	yes	characteristic
141	#65136	C₂²	1	1	yes	characteristic, complemented
142	#65136	C₂²	1	1	yes	characteristic, complemented
143	#65135	C₂²	1	1	yes	characteristic
144	#65135	C₂²	1	1	yes	characteristic, complemented
145	#65128	C₂²	1	1	yes	characteristic, complemented
146	#65128	C₂²	1	1	yes	characteristic, complemented
147	#65125	C₂²	1	1	yes	characteristic, complemented
148	#65125	C₂²	1	1	yes	characteristic, complemented
149	#65123	C₂²	1	1	yes	characteristic, complemented
150	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
151	#65075	C₂²	1	1	yes	characteristic
152	#65073	C₂²	1	1	yes	characteristic, complemented
153	#65073	C₂²	1	1	yes	characteristic, complemented
154	#65073	C₂²	1	1	yes	characteristic, complemented
155	#65071	C₂²	1	1	yes	characteristic, complemented
156	#65071	C₂²	1	1	yes	characteristic, complemented
157	#65068	C₂²	1	1	yes	characteristic, complemented
158	#65068	C₂²	1	1	yes	characteristic, complemented
159	#65068	C₂²	1	1	yes	characteristic, complemented
160	#65066	C₂²	1	1	yes	characteristic, complemented
161	#65066	C₂²	1	1	yes	characteristic, complemented
162	#65066	C₂²	1	1	yes	characteristic, complemented
163	#65066	C₂²	1	1	yes	characteristic, complemented
164	#65066	C₂²	1	1	yes	characteristic, complemented
165	#65064	C₂²	1	1	yes	characteristic, complemented
166	#65064	C₂²	1	1	yes	characteristic, complemented
167	#65064	C₂²	1	1	yes	characteristic, complemented
168	#65064	C₂²	1	1	yes	characteristic, complemented
169	#65063	C₂²	1	1	yes	characteristic, complemented
170	#65063	C₂²	1	1	yes	characteristic, complemented
171	#65063	C₂²	1	1	yes	characteristic, complemented
172	#65063	C₂²	1	1	yes	characteristic, complemented
173	#65062	C₂²	1	1	yes	characteristic
174	#65062	C₂²	1	1	yes	characteristic
175	#65062	C₂²	1	1	yes	characteristic
176	#65059	C₂²	1	1	yes	characteristic
177	#65059	C₂²	1	1	yes	characteristic
178	D₅×#102	C₂²	1	1	yes	characteristic
179	D₅×#102	C₂²	1	1	yes	characteristic
180	D₅×#102	C₂²	1	1	yes	characteristic
181	D₅×#102	C₂²	1	1	yes	characteristic
182	#65055	C₂²	1	1	yes	characteristic, complemented
183	#65055	C₂²	1	1	yes	characteristic, complemented
184	#65055	C₂²	1	1	yes	characteristic, complemented
185	#65052	C₂²	1	1	yes	characteristic, complemented
186	#65052	C₂²	1	1	yes	characteristic, complemented
187	#65052	C₂²	1	1	yes	characteristic, complemented
188	#65050	C₂²	1	1	yes	characteristic, complemented
189	#65048	C₂²	1	1	yes	characteristic, complemented
190	#65048	C₂²	1	1	yes	characteristic, complemented
191	#65000	C₂²	1	1	yes	characteristic
192	#65000	C₂²	1	1	yes	characteristic
193	#64998	C₂²	1	1	yes	characteristic, complemented
194	#64995	C₂²	1	1	yes	characteristic, complemented
195	#64995	C₂²	1	1	yes	characteristic, complemented
196	#64994	C₂²	1	1	yes	characteristic, complemented
197	#64991	C₂²	1	1	yes	characteristic, complemented
198	#64991	C₂²	1	1	yes	characteristic, complemented
199	C₄×D₄₀	C₂²	1	1	yes	characteristic
200	#64979	C₂²	1	1	yes	characteristic, complemented
201	C₈×D₂₀	C₂²	1	1	yes	characteristic, complemented
202	#64972	C₂²	1	1	yes	characteristic, complemented
203	#62163	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	—	2	1	no	—
205	C₂×#713	—	2	1	no	—
206	C₂×#711	—	2	1	no	—
207	C₂×D₄×D₅	—	2	1	no	—
208	C₂×D₄×D₅	—	2	1	no	—
209	C₂×D₄×D₅	—	2	1	no	—
210	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
211	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
212	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
213	C₂×#709	—	2	1	no	—
214	C₂×#709	—	2	1	no	—
215	C₂²×C₄×D₅	—	2	1	no	—
216	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
217	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
218	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
219	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
220	C₅×#127	C₂³	1	1	yes	characteristic
221	C₅×#127	C₂³	1	1	yes	characteristic
222	C₅×#127	C₂³	1	1	yes	characteristic
223	C₅×#125	C₂³	1	1	yes	characteristic
224	C₅×#125	C₂³	1	1	yes	characteristic
225	C₅×C₂²⋊Q₈	—	2	1	no	—
226	C₅×C₂²⋊Q₈	—	2	1	no	—
227	C₅×C₂²⋊Q₈	—	2	1	no	—
228	C₅×#121	—	2	1	no	—
229	C₅×#121	—	2	1	no	—
230	C₅×#121	—	2	1	no	—
231	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
232	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
233	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
234	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
235	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
236	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
237	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
238	C₂×C₅×C₄⋊C₄	—	2	1	no	—
239	#4093	D₄	1	1	yes	characteristic
240	#4092	—	2	1	no	—
241	#4092	—	2	1	no	—
242	#4092	—	2	1	no	—
243	#4092	—	2	1	no	—
244	#4092	D₄	1	1	yes	characteristic
245	#4090	—	2	1	no	—
246	#4086	C₂³	1	1	yes	characteristic
247	#4085	—	2	1	no	—
248	#4085	—	2	1	no	—
249	#4085	—	2	1	no	—
250	#4085	—	2	1	no	—
251	#4084	—	2	1	no	—
252	#4084	—	2	1	no	—
253	#4084	—	2	1	no	—
254	#4084	—	2	1	no	—
255	#4084	C₂³	1	1	yes	characteristic
256	#4084	C₂³	1	1	yes	characteristic
257	#4084	C₂³	1	1	yes	characteristic
258	#4084	C₂³	1	1	yes	characteristic
259	#4084	C₂³	1	1	yes	characteristic
260	#4084	C₂³	1	1	yes	characteristic
261	#4084	C₂³	1	1	yes	characteristic
262	#4084	C₂³	1	1	yes	characteristic
263	#4084	C₂³	1	1	yes	characteristic
264	#4083	—	2	1	no	—
265	#4083	—	2	1	no	—
266	#4083	—	2	1	no	—
267	#4083	—	2	1	no	—
268	#4083	—	2	1	no	—
269	#4083	—	2	1	no	—
270	#4082	—	2	1	no	—
271	#4081	—	2	1	no	—
272	#4081	—	2	1	no	—
273	#4081	—	2	1	no	—
274	#4081	—	2	1	no	—
275	D₄×Dic₅	—	2	1	no	—
276	D₄×Dic₅	C₂³	1	1	yes	characteristic
277	D₄×Dic₅	C₂³	1	1	yes	characteristic
278	D₄×Dic₅	C₂³	1	1	yes	characteristic
279	C₂×#686	C₂³	1	1	yes	characteristic
280	C₂×#686	C₂³	1	1	yes	characteristic
281	C₂×#686	C₂³	1	1	yes	characteristic
282	C₂×#686	C₂³	1	1	yes	characteristic
283	#4076	—	2	1	no	—
284	#4076	—	2	1	no	—
285	#4076	—	2	1	no	—
286	#4075	—	2	1	no	—
287	#4075	—	2	1	no	—
288	#4075	—	2	1	no	—
289	#4075	—	2	1	no	—
290	#4075	—	2	1	no	—
291	#4075	—	2	1	no	—
292	C₄×C₂²⋊D₅	—	2	1	no	—
293	C₄×C₂²⋊D₅	—	2	1	no	—
294	C₄×C₂²⋊D₅	—	2	1	no	—
295	C₄×C₂²⋊D₅	—	2	1	no	—
296	C₄×C₂²⋊D₅	—	2	1	no	—
297	C₄×C₂²⋊D₅	—	2	1	no	—
298	C₄×C₂²⋊D₅	—	2	1	no	—
299	C₄×C₂²⋊D₅	—	2	1	no	—
300	C₂×#685	—	2	1	no	—
301	C₂×#685	—	2	1	no	—
302	#4072	—	2	1	no	—
303	#4070	—	2	1	no	—
304	C₂×D₄₀	C₂³	1	1	yes	characteristic
305	C₂×#676	C₂³	1	1	yes	characteristic
306	C₂×#676	C₂³	1	1	yes	characteristic
307	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
308	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
309	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
310	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
311	#4044	—	2	1	no	—
312	#4044	—	2	1	no	—
313	#4044	D₄	1	1	yes	characteristic
314	#4044	D₄	1	1	yes	characteristic
315	#4043	—	2	1	no	—
316	#4042	—	2	1	no	—
317	#4042	—	2	1	no	—
318	#4042	—	2	1	no	—
319	#4042	—	2	1	no	—
320	#4042	—	2	1	no	—
321	#4042	—	2	1	no	—
322	#4041	—	2	1	no	—
323	#4041	—	2	1	no	—
324	#4041	D₄	1	1	yes	characteristic
325	#4041	C₂³	1	1	yes	characteristic
326	#4041	C₂³	1	1	yes	characteristic
327	#4041	C₂³	1	1	yes	characteristic
328	#4040	—	2	1	no	—
329	#4040	—	2	1	no	—
330	#4040	—	2	1	no	—
331	#4040	—	2	1	no	—
332	#4040	D₄	1	1	yes	characteristic
333	#4040	D₄	1	1	yes	characteristic
334	#4039	—	2	1	no	—
335	#4039	—	2	1	no	—
336	#4039	C₂³	1	1	yes	characteristic
337	#4038	C₂³	1	1	yes	characteristic
338	#4038	C₂³	1	1	yes	characteristic
339	#4038	C₂³	1	1	yes	characteristic
340	#4038	C₂³	1	1	yes	characteristic
341	D₅×C₄⋊C₄	—	2	1	no	—
342	D₅×C₄⋊C₄	—	2	1	no	—
343	D₅×C₄⋊C₄	—	2	1	no	—
344	D₅×C₄⋊C₄	—	2	1	no	—
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	#4036	D₄	1	1	yes	characteristic
351	#4036	C₂³	1	1	yes	characteristic
352	#4036	C₂³	1	1	yes	characteristic
353	#4035	—	2	1	no	—
354	#4035	—	2	1	no	—
355	#4035	—	2	1	no	—
356	#4035	—	2	1	no	—
357	#4034	—	2	1	no	—
358	#4034	C₂³	1	1	yes	characteristic
359	#4031	—	2	1	no	—
360	#4031	—	2	1	no	—
361	#4031	—	2	1	no	—
362	#4030	—	2	1	no	—
363	#4030	—	2	1	no	—
364	#4030	—	2	1	no	—
365	#4030	—	2	1	no	—
366	#4030	—	2	1	no	—
367	#4030	—	2	1	no	—
368	#4030	—	2	1	no	—
369	#4029	—	2	1	no	—
370	#4029	—	2	1	no	—
371	#4029	—	2	1	no	—
372	#4029	—	2	1	no	—
373	#4027	—	2	1	no	—
374	#4027	—	2	1	no	—
375	#4027	—	2	1	no	—
376	D₅×C₂²⋊C₄	—	2	1	no	—
377	D₅×C₂²⋊C₄	—	2	1	no	—
378	D₅×C₂²⋊C₄	—	2	1	no	—
379	#4025	—	2	1	no	—
380	#4025	—	2	1	no	—
381	#4025	—	2	1	no	—
382	#4025	—	2	1	no	—
383	C₄×D₂₀	C₂³	1	1	yes	characteristic
384	C₄×D₂₀	C₂³	1	1	yes	characteristic
385	C₄×D₂₀	C₂³	1	1	yes	characteristic
386	C₄×D₂₀	C₂³	1	1	yes	characteristic
387	C₄×D₂₀	C₂³	1	1	yes	characteristic
388	C₄×D₂₀	C₂³	1	1	yes	characteristic
389	C₄×D₂₀	C₂³	1	1	yes	characteristic
390	C₄×D₂₀	C₂³	1	1	yes	characteristic
391	C₄×D₂₀	C₂³	1	1	yes	characteristic
392	#4018	C₂³	1	1	yes	characteristic
393	#4018	C₂³	1	1	yes	characteristic
394	C₄²×D₅	C₂³	1	1	yes	characteristic
395	#4016	C₂³	1	1	yes	characteristic
396	#4016	C₂³	1	1	yes	characteristic
397	#4016	C₂³	1	1	yes	characteristic
398	#4016	C₂³	1	1	yes	characteristic
399	#4015	C₂³	1	1	yes	characteristic
400	#4015	C₂³	1	1	yes	characteristic
401	C₅×#107	C₂³	1	1	yes	characteristic
402	C₅×#106	C₂³	1	1	yes	characteristic
403	C₅×#106	C₂³	1	1	yes	characteristic
404	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
405	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
406	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
407	C₅×#102	C₂³	1	1	yes	characteristic
408	C₅×#102	C₂³	1	1	yes	characteristic
409	C₅×#102	C₂³	1	1	yes	characteristic
410	C₅×#102	C₂³	1	1	yes	characteristic
411	C₅×#102	C₂³	1	1	yes	characteristic
412	C₅×#102	C₂³	1	1	yes	characteristic
413	C₅×#102	C₂³	1	1	yes	characteristic
414	C₅×#102	C₂³	1	1	yes	characteristic
415	C₅×#102	C₂³	1	1	yes	characteristic
416	C₅×#102	C₂³	1	1	yes	characteristic
417	C₅×#97	C₂³	1	1	yes	characteristic
418	C₅×#97	C₂³	1	1	yes	characteristic
419	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
420	#3964	C₂³	1	1	yes	characteristic
421	#3964	C₂³	1	1	yes	characteristic
422	#3964	C₂³	1	1	yes	characteristic
423	#3964	C₂³	1	1	yes	characteristic
424	#3964	C₂³	1	1	yes	characteristic
425	#3964	C₂³	1	1	yes	characteristic
426	#3964	C₂³	1	1	yes	characteristic
427	#3964	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	#3964	C₂³	1	1	yes	characteristic
432	#3953	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	#3953	C₂³	1	1	yes	characteristic
437	#3953	C₂³	1	1	yes	characteristic
438	#3952	C₂³	1	1	yes	characteristic
439	#3952	C₂³	1	1	yes	characteristic
440	#3952	C₂³	1	1	yes	characteristic
441	#3952	C₂³	1	1	yes	characteristic
442	#3952	C₂³	1	1	yes	characteristic
443	#3952	C₂³	1	1	yes	characteristic
444	#3950	C₂³	1	1	yes	characteristic
445	#3950	C₂³	1	1	yes	characteristic
446	#3950	C₂³	1	1	yes	characteristic
447	#3950	C₂³	1	1	yes	characteristic
448	#3950	C₂³	1	1	yes	characteristic
449	#3949	C₂³	1	1	yes	characteristic
450	#3949	C₂³	1	1	yes	characteristic
451	#3949	C₂³	1	1	yes	characteristic
452	#3949	C₂³	1	1	yes	characteristic
453	#3946	C₂³	1	1	yes	characteristic
454	#3946	C₂³	1	1	yes	characteristic
455	#3946	C₂³	1	1	yes	characteristic
456	#3946	C₂³	1	1	yes	characteristic
457	#3941	C₂³	1	1	yes	characteristic
458	#3941	C₂³	1	1	yes	characteristic
459	#3941	C₂³	1	1	yes	characteristic
460	#3941	C₂³	1	1	yes	characteristic
461	#3940	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	#3939	C₂³	1	1	yes	characteristic
468	#3939	C₂³	1	1	yes	characteristic
469	#3939	C₂³	1	1	yes	characteristic
470	#3939	C₂³	1	1	yes	characteristic
471	#3939	C₂³	1	1	yes	characteristic
472	#3939	C₂³	1	1	yes	characteristic
473	C₄⋊#168	C₂³	1	1	yes	characteristic
474	C₄⋊#168	C₂³	1	1	yes	characteristic
475	C₄⋊#168	C₂³	1	1	yes	characteristic
476	#3935	C₂³	1	1	yes	characteristic
477	#3935	C₂³	1	1	yes	characteristic
478	C₄×#168	C₂³	1	1	yes	characteristic
479	#3559	—	5	1	no	—
480	#3519	—	5	1	no	—
481	#3389	—	5	1	no	—
482	#3389	—	5	1	no	—
483	#3366	—	5	1	no	—
484	#3366	D₅	1	1	yes	characteristic, complemented
485	#3347	—	5	1	no	—
486	#3347	—	5	1	no	—
487	#3345	—	5	1	no	—
488	#3345	—	5	1	no	—
489	#3339	—	5	1	no	—
490	#3339	—	5	1	no	—
491	#3318	—	5	1	no	—
492	#3318	—	5	1	no	—
493	#3318	—	5	1	no	—
494	#3318	—	5	1	no	—
495	#3294	—	5	1	no	—
496	#3294	—	5	1	no	—
497	#3259	—	5	1	no	—
498	#3259	—	5	1	no	—
499	#3245	—	5	1	no	—
500	#3241	—	5	1	no	—
501	#3241	—	5	1	no	—
502	#3234	—	5	1	no	—
503	#3122	—	5	1	no	—
504	#3122	—	5	1	no	—
505	#3109	—	5	1	no	—
506	#3081	—	5	1	no	—
507	#3081	—	5	1	no	—
508	C₂×#478	—	5	1	no	—
509	#2992	—	5	1	no	—
510	C₂³×D₅	—	2	1	no	—
511	C₂³×D₅	—	2	1	no	—
512	C₂³×D₅	—	2	1	no	—
513	C₅×#41	—	8	2	no	—
514	C₂×C₅×Q₈	—	2	1	no	—
515	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
516	C₂×C₅×D₄	—	2	1	no	—
517	C₂×C₅×D₄	—	2	1	no	—
518	C₂×C₅×D₄	—	2	1	no	—
519	C₂×C₅×D₄	—	2	1	no	—
520	C₂×C₅×D₄	—	2	1	no	—
521	C₂×C₅×D₄	—	2	1	no	—
522	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
523	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
524	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
525	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
526	C₂²×C₄×C₅	—	2	1	no	—
527	C₂²×C₄×C₅	—	2	1	no	—
528	C₂²×C₄×C₅	—	2	1	no	—
529	C₂²×C₄×C₅	—	2	1	no	—
530	C₂²×C₄×C₅	—	2	1	no	—
531	C₂²×C₄×C₅	—	2	1	no	—
532	C₂×C₂²⋊D₅	—	2	1	no	—
533	C₂×C₂²⋊D₅	—	2	1	no	—
534	C₂×C₂²⋊D₅	—	2	1	no	—
535	C₂×C₂²⋊D₅	—	2	1	no	—
536	C₂×C₂²⋊D₅	—	2	1	no	—
537	C₂×C₂²⋊D₅	—	2	1	no	—
538	C₂×C₂²⋊D₅	—	2	1	no	—
539	C₂×C₂²⋊D₅	—	2	1	no	—
540	C₂×C₂²⋊D₅	—	2	1	no	—
541	C₂×C₂²⋊D₅	—	2	1	no	—
542	C₂×C₂²⋊D₅	—	2	1	no	—
543	C₂×C₂²⋊D₅	—	2	1	no	—
544	C₂×C₂²⋊D₅	—	2	1	no	—
545	C₂×C₂²⋊D₅	—	2	1	no	—
546	C₂²×Dic₅	—	2	1	no	—
547	C₂²×Dic₅	—	2	1	no	—
548	C₂²×Dic₅	—	2	1	no	—
549	#713	—	8	2	no	—
550	#711	—	8	2	no	—
551	D₄×D₅	—	2	2	no	—
552	D₄×D₅	—	2	2	no	—
553	D₄×D₅	—	2	2	no	—
554	D₄×D₅	—	4	1	no	—
555	D₄×D₅	—	4	1	no	—
556	D₄×D₅	—	4	1	no	—
557	D₄×D₅	—	8	2	no	—
558	D₄×D₅	—	8	2	no	—
559	D₄×D₅	—	8	2	no	—
560	#709	—	8	2	no	—
561	#709	—	8	2	no	—
562	C₂×D₂₀	—	2	1	no	—
563	C₂×D₂₀	—	2	1	no	—
564	C₂×D₂₀	—	2	1	no	—
565	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
566	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
567	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
568	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
569	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
574	C₂×C₄×D₅	—	2	1	no	—
575	C₂×C₄×D₅	—	2	1	no	—
576	C₂×C₄×D₅	—	2	1	no	—
577	C₂×C₄×D₅	—	2	1	no	—
578	C₂×C₄×D₅	—	2	1	no	—
579	C₂×C₄×D₅	—	2	1	no	—
580	C₂×C₄×D₅	—	2	1	no	—
581	C₂×C₄×D₅	—	2	1	no	—
582	C₂×C₄×D₅	—	8	2	no	—
583	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
584	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
585	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
586	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
587	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
588	C₂×Dic₁₀	—	2	1	no	—
589	C₂×Dic₁₀	—	2	1	no	—
590	C₂×Dic₁₀	—	2	1	no	—
591	C₅×D₈	—	4	1	no	—
592	C₅×D₈	—	4	1	no	—
593	C₅×D₈	—	4	1	no	—
594	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
595	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
596	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
597	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
598	C₅×C₄⋊C₄	—	2	1	no	—
599	C₅×C₄⋊C₄	—	2	1	no	—
600	C₅×C₄⋊C₄	—	2	1	no	—
601	C₅×C₄⋊C₄	—	2	1	no	—
602	C₅×C₄⋊C₄	—	2	1	no	—
603	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
604	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
605	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
606	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
607	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
608	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
609	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
614	C₅×C₂²⋊C₄	—	2	1	no	—
615	C₅×C₂²⋊C₄	—	2	1	no	—
616	C₄²×C₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
628	C₂²⋊Dic₅	—	2	1	no	—
629	C₂²⋊Dic₅	—	2	1	no	—
630	C₂²⋊Dic₅	—	2	1	no	—
631	#686	—	2	2	no	—
632	#686	—	4	1	no	—
633	#686	—	4	1	no	—
634	#686	—	4	1	no	—
635	#685	—	2	1	no	—
636	#685	—	2	1	no	—
637	#685	—	2	1	no	—
638	#685	—	2	1	no	—
639	#685	—	2	1	no	—
640	#685	—	2	1	no	—
641	#685	—	2	1	no	—
642	#685	—	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	C₂×D₄	1	1	yes	characteristic
650	#685	C₂×D₄	1	1	yes	characteristic
651	#685	C₂×D₄	1	1	yes	characteristic
652	#685	C₂×D₄	1	1	yes	characteristic
653	#685	C₂×D₄	1	1	yes	characteristic
654	#685	C₂×D₄	1	1	yes	characteristic
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	C₄⋊Dic₅	—	2	1	no	—
660	C₄⋊Dic₅	—	2	1	no	—
661	C₄⋊Dic₅	—	2	1	no	—
662	C₄⋊Dic₅	—	2	1	no	—
663	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
664	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
665	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
666	C₄⋊Dic₅	C₂⁴	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	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
672	#683	—	2	1	no	—
673	#683	—	2	1	no	—
674	#683	—	2	1	no	—
675	#683	—	2	1	no	—
676	#683	—	2	1	no	—
677	#683	—	2	1	no	—
678	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	—	2	1	no	—
684	#683	—	2	1	no	—
685	#683	—	2	1	no	—
686	#683	—	2	1	no	—
687	#683	—	2	1	no	—
688	#683	C₂×D₄	1	1	yes	characteristic
689	#683	C₂×D₄	1	1	yes	characteristic
690	#683	C₂×D₄	1	1	yes	characteristic
691	#683	C₂×D₄	1	1	yes	characteristic
692	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	C₂×D₄	1	1	yes	characteristic
697	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
698	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
699	C₂×#168	C₂⁴	1	1	yes	characteristic
700	C₂×#168	C₂⁴	1	1	yes	characteristic
701	C₂×#168	C₂⁴	1	1	yes	characteristic
702	C₂×#168	C₂⁴	1	1	yes	characteristic
703	D₄₀	—	2	2	no	—
704	#676	—	4	1	no	—
705	#676	—	4	1	no	—
706	C₈×D₅	—	4	1	no	—
707	C₈×D₅	—	4	1	no	—
708	C₈×D₅	—	4	1	no	—
709	C₈×D₅	—	4	1	no	—
710	#563	—	10	1	no	—
711	#562	—	10	1	no	—
712	#555	—	5	1	no	—
713	#554	—	5	1	no	—
714	#554	—	5	1	no	—
715	#554	C₂×D₅	1	1	yes	characteristic, complemented
716	#553	—	5	1	no	—
717	#553	—	5	1	no	—
718	#553	—	5	1	no	—
719	#553	—	5	1	no	—
720	#553	—	5	1	no	—
721	#553	—	5	1	no	—
722	#553	—	10	1	no	—
723	#550	C₂×D₅	1	1	yes	characteristic
724	#547	—	5	1	no	—
725	#547	—	5	1	no	—
726	#547	—	10	1	no	—
727	#547	—	10	1	no	—
728	#546	—	10	1	no	—
729	#546	—	10	1	no	—
730	#546	—	10	1	no	—
731	D₄²	—	5	1	no	—
732	D₄²	—	5	1	no	—
733	D₄²	—	5	1	no	—
734	#544	—	5	1	no	—
735	#544	—	5	1	no	—
736	#540	—	5	1	no	—
737	#540	—	5	1	no	—
738	#540	—	5	1	no	—
739	#540	—	5	1	no	—
740	#539	—	10	1	no	—
741	#539	—	10	1	no	—
742	#539	—	10	1	no	—
743	#538	—	10	1	no	—
744	#538	—	10	1	no	—
745	#537	—	10	1	no	—
746	#532	—	5	1	no	—
747	#532	—	5	1	no	—
748	#529	—	5	1	no	—
749	C₂×#125	—	5	1	no	—
750	#525	—	10	1	no	—
751	C₂×#121	—	10	1	no	—
752	#518	—	5	1	no	—
753	#518	—	5	1	no	—
754	C₂×C₄×D₄	—	5	1	no	—
755	#501	—	5	1	no	—
756	#501	—	5	1	no	—
757	#501	—	5	1	no	—
758	#501	—	5	1	no	—
759	#499	—	5	1	no	—
760	#499	—	5	1	no	—
761	#490	—	5	1	no	—
762	#490	—	5	1	no	—
763	#490	C₂×D₅	1	1	yes	characteristic, complemented
764	#490	C₂×D₅	1	1	yes	characteristic, complemented
765	#486	—	5	1	no	—
766	#486	C₂×D₅	1	1	yes	characteristic, complemented
767	#482	—	5	1	no	—
768	#482	—	5	1	no	—
769	#482	—	5	1	no	—
770	#482	—	5	1	no	—
771	#482	—	5	1	no	—
772	#482	—	5	1	no	—
773	#482	—	5	1	no	—
774	#482	—	5	1	no	—
775	#481	—	5	1	no	—
776	#481	—	5	1	no	—
777	#481	—	5	1	no	—
778	#481	—	5	1	no	—
779	#481	—	5	1	no	—
780	#481	—	5	1	no	—
781	#480	—	5	1	no	—
782	#480	—	5	1	no	—
783	#480	—	5	1	no	—
784	#480	—	5	1	no	—
785	#478	—	5	1	no	—
786	#478	—	5	1	no	—
787	#478	—	5	1	no	—
788	#478	—	5	1	no	—
789	#478	—	5	1	no	—
790	#478	—	5	1	no	—
791	#478	—	5	1	no	—
792	#478	—	5	1	no	—
793	#478	—	5	1	no	—
794	#478	—	5	1	no	—
795	#478	—	5	1	no	—
796	#478	—	5	1	no	—
797	#478	—	5	1	no	—
798	#478	—	5	1	no	—
799	#478	—	5	1	no	—
800	#478	—	5	1	no	—
801	#478	—	5	1	no	—
802	#478	—	5	1	no	—
803	#478	C₂×D₅	1	1	yes	characteristic, complemented
804	#478	C₂×D₅	1	1	yes	characteristic, complemented
805	#476	—	5	1	no	—
806	#476	—	5	1	no	—
807	#476	—	5	1	no	—
808	#476	C₂×D₅	1	1	yes	characteristic, complemented
809	#474	—	5	1	no	—
810	#474	—	5	1	no	—
811	#474	—	5	1	no	—
812	#474	—	5	1	no	—
813	#474	—	5	1	no	—
814	#474	—	5	1	no	—
815	#469	—	5	1	no	—
816	#469	—	5	1	no	—
817	#469	—	5	1	no	—
818	#469	—	5	1	no	—
819	#466	—	5	1	no	—
820	#466	—	5	1	no	—
821	#466	—	5	1	no	—
822	#466	—	5	1	no	—
823	#466	—	5	1	no	—
824	#466	—	5	1	no	—
825	#466	—	5	1	no	—
826	#466	—	5	1	no	—
827	#459	—	5	1	no	—
828	#459	—	5	1	no	—
829	#459	—	5	1	no	—
830	#459	—	5	1	no	—
831	#459	—	5	1	no	—
832	#459	—	5	1	no	—
833	#459	—	5	1	no	—
834	#459	C₂×D₅	1	1	yes	characteristic, complemented
835	#459	C₂×D₅	1	1	yes	characteristic, complemented
836	#459	C₂×D₅	1	1	yes	characteristic, complemented
837	#447	—	5	1	no	—
838	#447	—	5	1	no	—
839	#447	—	5	1	no	—
840	#447	—	5	1	no	—
841	#447	—	5	1	no	—
842	#447	—	5	1	no	—
843	#446	—	5	1	no	—
844	#446	C₂×D₅	1	1	yes	characteristic, complemented
845	#442	—	5	1	no	—
846	#442	—	5	1	no	—
847	#442	—	5	1	no	—
848	#442	—	5	1	no	—
849	#442	—	5	1	no	—
850	#442	—	5	1	no	—
851	#442	C₂×D₅	1	1	yes	characteristic, complemented
852	#442	C₂×D₅	1	1	yes	characteristic, complemented
853	C₄×D₈	—	5	1	no	—
854	C₄×D₈	—	5	1	no	—
855	C₄×D₈	—	5	1	no	—
856	C₄×D₈	C₂×D₅	1	1	yes	characteristic, complemented
857	#435	—	5	1	no	—
858	#435	—	5	1	no	—
859	#435	—	5	1	no	—
860	#435	—	5	1	no	—
861	C₈×D₄	—	5	1	no	—
862	C₈×D₄	—	5	1	no	—
863	#433	—	5	1	no	—
864	#433	—	5	1	no	—
865	#432	—	5	1	no	—
866	#428	—	5	1	no	—
867	#428	—	5	1	no	—
868	#427	—	5	1	no	—
869	#427	—	5	1	no	—
870	C₂×#107	—	5	1	no	—
871	C₂×#106	—	5	1	no	—
872	#424	—	5	1	no	—
873	#424	—	5	1	no	—
874	C₂×C₄⋊C₈	—	5	1	no	—
875	#418	—	5	1	no	—
876	#418	—	5	1	no	—
877	C₂×#102	—	5	1	no	—
878	C₂×#102	—	5	1	no	—
879	C₂×#102	—	5	1	no	—
880	C₂×#102	—	5	1	no	—
881	C₂³×C₅	—	2	1	no	—
882	C₂³×C₅	—	2	1	no	—
883	C₂³×C₅	—	2	1	no	—
884	C₂³×C₅	—	2	1	no	—
885	C₂²×D₅	—	2	1	no	—
886	C₂²×D₅	—	2	1	no	—
887	C₂²×D₅	—	4	2	no	—
888	C₂²×D₅	—	4	2	no	—
889	C₂²×D₅	—	4	2	no	—
890	C₂²×D₅	—	4	2	no	—
891	C₂²×D₅	—	8	1	no	—
892	C₂²×D₅	—	8	1	no	—
893	C₂²×D₅	—	8	1	no	—
894	C₂²×D₅	—	8	1	no	—
895	C₂²×D₅	—	8	1	no	—
896	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
897	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
898	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
899	C₅×Q₈	—	4	1	no	—
900	C₅×Q₈	—	8	1	no	—
901	C₅×D₄	—	2	1	no	—
902	C₅×D₄	—	2	1	no	—
903	C₅×D₄	—	2	1	no	—
904	C₅×D₄	—	2	1	no	—
905	C₅×D₄	—	2	1	no	—
906	C₅×D₄	—	2	1	no	—
907	C₅×D₄	—	2	1	no	—
908	C₅×D₄	—	2	1	no	—
909	C₅×D₄	—	4	2	no	—
910	C₅×D₄	—	8	1	no	—
911	C₅×D₄	—	8	1	no	—
912	C₅×D₄	—	8	1	no	—
913	C₅×D₄	—	8	1	no	—
914	C₅×D₄	—	8	1	no	—
915	C₂×C₄×C₅	—	2	1	no	—
916	C₂×C₄×C₅	—	2	1	no	—
917	C₂×C₄×C₅	—	2	1	no	—
918	C₂×C₄×C₅	—	2	1	no	—
919	C₂×C₄×C₅	—	4	2	no	—
920	C₂×C₄×C₅	—	8	1	no	—
921	C₂×C₄×C₅	—	8	1	no	—
922	C₂×C₄×C₅	—	8	1	no	—
923	C₂×C₄×C₅	—	8	1	no	—
924	C₂×C₄×C₅	—	8	1	no	—
925	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
926	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
927	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
928	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
929	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
930	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
931	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
932	C₂²⋊D₅	—	4	2	no	—
933	C₂²⋊D₅	—	4	2	no	—
934	C₂²⋊D₅	—	4	2	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	C₂²⋊D₅	—	8	1	no	—
942	C₂²⋊D₅	—	8	1	no	—
943	C₂²⋊D₅	—	8	1	no	—
944	C₂²⋊D₅	—	8	1	no	—
945	C₂²⋊D₅	—	8	1	no	—
946	C₂×Dic₅	—	2	1	no	—
947	C₂×Dic₅	—	2	1	no	—
948	C₂×Dic₅	—	2	1	no	—
949	C₂×Dic₅	—	2	1	no	—
950	C₂×Dic₅	—	2	1	no	—
951	C₂×Dic₅	—	2	1	no	—
952	C₂×Dic₅	—	8	1	no	—
953	C₂×Dic₅	—	8	1	no	—
954	C₂×Dic₅	—	8	1	no	—
955	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
956	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
957	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
958	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
959	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
960	D₂₀	—	2	2	no	—
961	D₂₀	—	2	2	no	—
962	D₂₀	—	2	1	no	—
963	D₂₀	—	2	1	no	—
964	D₂₀	—	2	1	no	—
965	D₂₀	—	4	1	no	—
966	D₂₀	—	4	2	no	—
967	D₂₀	—	8	1	no	—
968	D₂₀	—	8	1	no	—
969	D₂₀	2₋¹⁺⁴	1	2	yes	—
970	C₄×D₅	—	2	2	no	—
971	C₄×D₅	—	2	1	no	—
972	C₄×D₅	—	2	1	no	—
973	C₄×D₅	—	2	1	no	—
974	C₄×D₅	—	2	1	no	—
975	C₄×D₅	—	2	1	no	—
976	C₄×D₅	—	2	1	no	—
977	C₄×D₅	—	4	1	no	—
978	C₄×D₅	—	4	2	no	—
979	C₄×D₅	—	4	2	no	—
980	C₄×D₅	—	8	1	no	—
981	C₄×D₅	—	8	1	no	—
982	C₄×D₅	—	8	1	no	—
983	C₄×D₅	—	8	1	no	—
984	C₄×D₅	—	8	1	no	—
985	C₄×D₅	—	8	1	no	—
986	C₄×D₅	—	8	1	no	—
987	C₄×D₅	—	8	1	no	—
988	C₄×D₅	—	8	1	no	—
989	C₄×D₅	—	8	1	no	—
990	Dic₁₀	—	8	1	no	—
991	Dic₁₀	—	8	1	no	—
992	Dic₁₀	—	8	1	no	—
993	C₅×C₈	—	2	1	no	—
994	C₅×C₈	—	2	1	no	—
995	C₅×C₈	—	2	1	no	—
996	C₅×C₈	—	2	1	no	—
997	#168	—	2	1	no	—
998	#168	—	2	1	no	—
999	#168	—	2	1	no	—
1000	#168	—	2	1	no	—
1001	C₂×#41	—	2	1	no	—
1002	C₂×#41	—	10	1	no	—
1003	C₂×#41	—	10	1	no	—
1004	C₂×#41	—	10	1	no	—
1005	C₂×#41	—	10	1	no	—
1006	C₂²×D₄	—	5	1	no	—
1007	C₂²×D₄	—	5	1	no	—
1008	C₂²×D₄	—	5	1	no	—
1009	C₂²×D₄	—	10	1	no	—
1010	C₂²×D₄	—	10	1	no	—
1011	C₂²×D₄	—	10	1	no	—
1012	C₂³×C₄	—	10	1	no	—
1013	C₂×D₈	—	5	1	no	—
1014	C₂×D₈	—	5	1	no	—
1015	C₂×D₈	—	5	1	no	—
1016	C₂×D₈	—	5	1	no	—
1017	C₂×D₈	—	5	1	no	—
1018	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1019	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1020	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1021	C₂×M₁₆	—	5	1	no	—
1022	C₂×M₁₆	—	5	1	no	—
1023	C₂²×C₈	—	5	1	no	—
1024	C₂²×C₈	—	5	1	no	—
1025	C₂²×C₈	—	5	1	no	—
1026	C₂²×C₈	—	5	1	no	—
1027	C₄⋊Q₈	—	5	1	no	—
1028	C₄⋊Q₈	—	5	1	no	—
1029	C₄⋊Q₈	—	5	1	no	—
1030	C₄⋊Q₈	—	10	1	no	—
1031	C₄⋊Q₈	—	10	1	no	—
1032	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1033	#127	—	5	1	no	—
1034	#127	C₂²×D₅	1	1	yes	characteristic
1035	#127	C₂²×D₅	1	1	yes	characteristic
1036	#127	C₂²×D₅	1	1	yes	characteristic
1037	#126	—	5	1	no	—
1038	#126	—	5	1	no	—
1039	#126	—	10	1	no	—
1040	#126	—	10	1	no	—
1041	#126	—	10	1	no	—
1042	#126	—	10	1	no	—
1043	#126	—	10	1	no	—
1044	#126	—	10	1	no	—
1045	#125	—	5	1	no	—
1046	#125	—	5	1	no	—
1047	#125	—	5	1	no	—
1048	#125	—	5	1	no	—
1049	#125	—	5	1	no	—
1050	#125	—	5	1	no	—
1051	#125	—	5	1	no	—
1052	#125	—	10	1	no	—
1053	#125	—	10	1	no	—
1054	#125	—	10	1	no	—
1055	#125	—	10	1	no	—
1056	#125	C₂²×D₅	1	1	yes	characteristic
1057	#125	C₂²×D₅	1	1	yes	characteristic
1058	#124	—	5	1	no	—
1059	#124	—	10	1	no	—
1060	#124	—	10	1	no	—
1061	#124	—	10	1	no	—
1062	#124	—	10	1	no	—
1063	#123	—	5	1	no	—
1064	#123	—	5	1	no	—
1065	#123	—	10	1	no	—
1066	#123	—	10	1	no	—
1067	#123	—	10	1	no	—
1068	#123	—	10	1	no	—
1069	#123	—	10	1	no	—
1070	#123	—	10	1	no	—
1071	#123	—	10	1	no	—
1072	#123	—	10	1	no	—
1073	#123	—	10	1	no	—
1074	#123	—	10	1	no	—
1075	#123	—	10	1	no	—
1076	#123	—	10	1	no	—
1077	#123	—	10	1	no	—
1078	#123	—	10	1	no	—
1079	#123	—	10	1	no	—
1080	#123	—	10	1	no	—
1081	#123	—	10	1	no	—
1082	#123	—	10	1	no	—
1083	C₂²⋊Q₈	—	2	1	no	—
1084	C₂²⋊Q₈	—	2	1	no	—
1085	C₂²⋊Q₈	—	2	1	no	—
1086	C₂²⋊Q₈	—	5	1	no	—
1087	C₂²⋊Q₈	—	10	1	no	—
1088	C₂²⋊Q₈	—	10	1	no	—
1089	C₂²⋊Q₈	—	10	1	no	—
1090	C₂²⋊Q₈	—	10	1	no	—
1091	C₂²⋊Q₈	—	10	1	no	—
1092	C₂²⋊Q₈	—	10	1	no	—
1093	C₂²⋊Q₈	—	10	1	no	—
1094	C₂²⋊Q₈	—	10	1	no	—
1095	C₂²⋊Q₈	—	10	1	no	—
1096	C₂²⋊Q₈	—	10	1	no	—
1097	C₂²⋊Q₈	—	10	1	no	—
1098	C₂²⋊Q₈	—	10	1	no	—
1099	#121	—	2	1	no	—
1100	#121	—	2	1	no	—
1101	#121	—	2	1	no	—
1102	#121	—	5	1	no	—
1103	#121	—	5	1	no	—
1104	#121	—	5	1	no	—
1105	#121	—	5	1	no	—
1106	#121	—	5	1	no	—
1107	#121	—	5	1	no	—
1108	#121	—	5	1	no	—
1109	#121	—	5	1	no	—
1110	#121	—	5	1	no	—
1111	#121	—	5	1	no	—
1112	#121	—	5	1	no	—
1113	#121	—	5	1	no	—
1114	#121	—	5	1	no	—
1115	#121	—	10	1	no	—
1116	#121	—	10	1	no	—
1117	#121	—	10	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	—	10	1	no	—
1128	#121	—	10	1	no	—
1129	#121	—	10	1	no	—
1130	#121	—	10	1	no	—
1131	#121	—	10	1	no	—
1132	#121	—	10	1	no	—
1133	#121	—	10	1	no	—
1134	#121	—	10	1	no	—
1135	#120	—	10	1	no	—
1136	#120	—	10	1	no	—
1137	#120	—	10	1	no	—
1138	#120	—	10	1	no	—
1139	#120	—	10	1	no	—
1140	#120	—	10	1	no	—
1141	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1142	C₄×D₄	—	5	1	no	—
1143	C₄×D₄	—	5	1	no	—
1144	C₄×D₄	—	5	1	no	—
1145	C₄×D₄	—	5	1	no	—
1146	C₄×D₄	—	5	1	no	—
1147	C₄×D₄	—	5	1	no	—
1148	C₄×D₄	—	5	1	no	—
1149	C₄×D₄	—	5	1	no	—
1150	C₄×D₄	—	5	1	no	—
1151	C₄×D₄	—	5	1	no	—
1152	C₄×D₄	—	5	1	no	—
1153	C₄×D₄	—	5	1	no	—
1154	C₄×D₄	—	5	1	no	—
1155	C₄×D₄	—	10	1	no	—
1156	C₄×D₄	—	10	1	no	—
1157	C₄×D₄	—	10	1	no	—
1158	C₄×D₄	—	10	1	no	—
1159	C₄×D₄	—	10	1	no	—
1160	C₄×D₄	—	10	1	no	—
1161	C₄×D₄	—	10	1	no	—
1162	C₄×D₄	—	10	1	no	—
1163	C₄×D₄	—	10	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	C₂²×D₅	1	1	yes	characteristic
1170	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1171	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1172	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1173	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1174	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1175	#117	—	5	1	no	—
1176	#117	—	5	1	no	—
1177	#117	—	5	1	no	—
1178	#117	—	5	1	no	—
1179	#117	—	5	1	no	—
1180	#117	—	5	1	no	—
1181	#117	—	10	1	no	—
1182	C₂×C₄⋊C₄	—	2	1	no	—
1183	C₂×C₄⋊C₄	—	5	1	no	—
1184	C₂×C₄⋊C₄	—	5	1	no	—
1185	C₂×C₄⋊C₄	—	5	1	no	—
1186	C₂×C₄⋊C₄	—	5	1	no	—
1187	C₂×C₄⋊C₄	—	5	1	no	—
1188	C₂×C₄⋊C₄	—	10	1	no	—
1189	C₂×C₄⋊C₄	—	10	1	no	—
1190	C₂×C₄⋊C₄	—	10	1	no	—
1191	C₂×C₄⋊C₄	—	10	1	no	—
1192	C₂×C₂²⋊C₄	—	10	1	no	—
1193	C₂×C₂²⋊C₄	—	10	1	no	—
1194	C₂×C₂²⋊C₄	—	10	1	no	—
1195	C₂×C₂²⋊C₄	—	10	1	no	—
1196	C₂×C₂²⋊C₄	—	10	1	no	—
1197	C₂×C₄²	—	5	1	no	—
1198	#107	—	5	1	no	—
1199	#107	—	5	1	no	—
1200	#107	—	5	1	no	—
1201	#107	—	5	1	no	—
1202	#107	—	5	1	no	—
1203	#107	—	5	1	no	—
1204	#107	—	5	1	no	—
1205	#107	—	5	1	no	—
1206	#107	—	5	1	no	—
1207	#107	—	5	1	no	—
1208	#107	—	5	1	no	—
1209	#107	C₂²×D₅	1	1	yes	characteristic
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	C₂²×D₅	1	1	yes	characteristic
1221	#106	C₂²×D₅	1	1	yes	characteristic
1222	C₄⋊C₈	—	5	1	no	—
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	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1230	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1231	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1232	#102	—	5	1	no	—
1233	#102	—	5	1	no	—
1234	#102	—	5	1	no	—
1235	#102	—	5	1	no	—
1236	#102	—	5	1	no	—
1237	#102	—	5	1	no	—
1238	#102	—	5	1	no	—
1239	#102	—	5	1	no	—
1240	#102	—	5	1	no	—
1241	#102	—	5	1	no	—
1242	#102	—	5	1	no	—
1243	#102	—	5	1	no	—
1244	#102	—	5	1	no	—
1245	#102	—	5	1	no	—
1246	#102	—	5	1	no	—
1247	#102	—	5	1	no	—
1248	#102	—	5	1	no	—
1249	#102	—	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	C₂²×D₅	1	1	yes	characteristic
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	#102	C₂²×D₅	1	1	yes	characteristic
1259	#102	C₂²×D₅	1	1	yes	characteristic
1260	#102	C₂²×D₅	1	1	yes	characteristic
1261	#102	C₂²×D₅	1	1	yes	characteristic
1262	#102	C₂²×D₅	1	1	yes	characteristic
1263	#102	C₂²×D₅	1	1	yes	characteristic
1264	C₂²⋊C₈	—	5	1	no	—
1265	C₂²⋊C₈	—	5	1	no	—
1266	C₂²⋊C₈	—	5	1	no	—
1267	C₂²⋊C₈	—	5	1	no	—
1268	C₂²⋊C₈	—	5	1	no	—
1269	C₂²⋊C₈	—	5	1	no	—
1270	#97	—	5	1	no	—
1271	#97	—	5	1	no	—
1272	#97	C₂²×D₅	1	1	yes	characteristic
1273	#97	C₂²×D₅	1	1	yes	characteristic
1274	C₄×C₈	—	5	1	no	—
1275	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1276	C₂²×C₅	—	4	1	no	—
1277	C₂²×C₅	—	4	1	no	—
1278	C₂²×C₅	—	4	1	no	—
1279	C₂²×C₅	—	4	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	—	4	1	no	—
1287	C₂²×C₅	—	4	1	no	—
1288	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1289	C₂×D₅	—	2	1	no	—
1290	C₂×D₅	—	2	1	no	—
1291	C₂×D₅	—	2	1	no	—
1292	C₂×D₅	—	2	1	no	—
1293	C₂×D₅	—	2	1	no	—
1294	C₂×D₅	—	2	1	no	—
1295	C₂×D₅	—	2	2	no	—
1296	C₂×D₅	—	2	1	no	—
1297	C₂×D₅	—	2	1	no	—
1298	C₂×D₅	—	4	1	no	—
1299	C₂×D₅	—	4	1	no	—
1300	C₂×D₅	—	4	1	no	—
1301	C₂×D₅	—	4	1	no	—
1302	C₂×D₅	—	4	1	no	—
1303	C₂×D₅	—	8	4	no	—
1304	C₂×D₅	—	16	2	no	—
1305	C₂×D₅	—	16	2	no	—
1306	C₂×D₅	#576	1	2	yes	—
1307	C₄×C₅	—	2	1	no	—
1308	C₄×C₅	—	2	1	no	—
1309	C₄×C₅	—	2	1	no	—
1310	C₄×C₅	—	2	1	no	—
1311	C₄×C₅	—	2	1	no	—
1312	C₄×C₅	—	2	1	no	—
1313	C₄×C₅	—	4	1	no	—
1314	C₄×C₅	—	4	1	no	—
1315	C₄×C₅	—	4	1	no	—
1316	C₄×C₅	—	4	1	no	—
1317	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1318	C₄×C₅	#585	1	1	yes	characteristic
1319	Dic₅	—	2	1	no	—
1320	Dic₅	—	2	1	no	—
1321	Dic₅	—	2	1	no	—
1322	Dic₅	—	2	1	no	—
1323	Dic₅	—	2	1	no	—
1324	Dic₅	—	4	1	no	—
1325	Dic₅	—	4	1	no	—
1326	Dic₅	—	4	1	no	—
1327	Dic₅	—	4	1	no	—
1328	Dic₅	—	4	1	no	—
1329	Dic₅	—	4	1	no	—
1330	C₂⁴	—	10	1	no	—
1331	C₂⁴	—	10	1	no	—
1332	C₂⁴	—	10	1	no	—
1333	#41	—	8	2	no	—
1334	#41	—	40	2	no	—
1335	#41	—	40	2	no	—
1336	#41	—	40	2	no	—
1337	#41	—	40	2	no	—
1338	C₂×Q₈	—	2	1	no	—
1339	C₂×Q₈	—	10	1	no	—
1340	C₂×Q₈	—	10	1	no	—
1341	C₂×Q₈	—	10	1	no	—
1342	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1343	C₂×D₄	—	2	1	no	—
1344	C₂×D₄	—	2	1	no	—
1345	C₂×D₄	—	2	1	no	—
1346	C₂×D₄	—	2	1	no	—
1347	C₂×D₄	—	2	1	no	—
1348	C₂×D₄	—	2	1	no	—
1349	C₂×D₄	—	5	1	no	—
1350	C₂×D₄	—	5	1	no	—
1351	C₂×D₄	—	5	1	no	—
1352	C₂×D₄	—	5	1	no	—
1353	C₂×D₄	—	5	1	no	—
1354	C₂×D₄	—	10	1	no	—
1355	C₂×D₄	—	10	1	no	—
1356	C₂×D₄	—	10	1	no	—
1357	C₂×D₄	—	10	1	no	—
1358	C₂×D₄	—	10	1	no	—
1359	C₂×D₄	—	10	1	no	—
1360	C₂×D₄	—	10	1	no	—
1361	C₂×D₄	—	10	1	no	—
1362	C₂×D₄	—	10	2	no	—
1363	C₂×D₄	—	10	2	no	—
1364	C₂×D₄	—	10	2	no	—
1365	C₂×D₄	—	10	1	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	—	10	1	no	—
1371	C₂×D₄	—	10	1	no	—
1372	C₂×D₄	—	10	1	no	—
1373	C₂×D₄	—	10	1	no	—
1374	C₂×D₄	—	20	1	no	—
1375	C₂×D₄	—	20	1	no	—
1376	C₂×D₄	—	20	1	no	—
1377	C₂×D₄	—	40	2	no	—
1378	C₂×D₄	—	40	2	no	—
1379	C₂×D₄	—	40	2	no	—
1380	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1381	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1382	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1383	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1384	C₂²×C₄	—	2	1	no	—
1385	C₂²×C₄	—	2	1	no	—
1386	C₂²×C₄	—	2	1	no	—
1387	C₂²×C₄	—	2	1	no	—
1388	C₂²×C₄	—	2	1	no	—
1389	C₂²×C₄	—	2	1	no	—
1390	C₂²×C₄	—	5	1	no	—
1391	C₂²×C₄	—	5	1	no	—
1392	C₂²×C₄	—	5	1	no	—
1393	C₂²×C₄	—	5	1	no	—
1394	C₂²×C₄	—	5	1	no	—
1395	C₂²×C₄	—	10	1	no	—
1396	C₂²×C₄	—	10	1	no	—
1397	C₂²×C₄	—	10	1	no	—
1398	C₂²×C₄	—	10	1	no	—
1399	C₂²×C₄	—	10	1	no	—
1400	C₂²×C₄	—	10	1	no	—
1401	C₂²×C₄	—	10	1	no	—
1402	C₂²×C₄	—	10	1	no	—
1403	C₂²×C₄	—	10	1	no	—
1404	C₂²×C₄	—	10	1	no	—
1405	C₂²×C₄	—	10	1	no	—
1406	C₂²×C₄	—	10	1	no	—
1407	C₂²×C₄	—	10	1	no	—
1408	C₂²×C₄	—	10	1	no	—
1409	C₂²×C₄	—	10	1	no	—
1410	C₂²×C₄	—	40	2	no	—
1411	D₈	—	4	1	no	—
1412	D₈	—	4	1	no	—
1413	D₈	—	4	1	no	—
1414	D₈	—	10	2	no	—
1415	D₈	—	10	2	no	—
1416	D₈	—	20	1	no	—
1417	D₈	—	20	1	no	—
1418	D₈	—	20	1	no	—
1419	M₁₆	—	20	1	no	—
1420	M₁₆	—	20	1	no	—
1421	C₂×C₈	—	5	1	no	—
1422	C₂×C₈	—	5	1	no	—
1423	C₂×C₈	—	5	1	no	—
1424	C₂×C₈	—	5	1	no	—
1425	C₂×C₈	—	20	1	no	—
1426	C₂×C₈	—	20	1	no	—
1427	C₂×C₈	—	20	1	no	—
1428	C₂×C₈	—	20	1	no	—
1429	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1430	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1431	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1432	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	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	—	5	1	no	—
1443	C₄⋊C₄	—	5	1	no	—
1444	C₄⋊C₄	—	5	1	no	—
1445	C₄⋊C₄	—	5	1	no	—
1446	C₄⋊C₄	—	5	1	no	—
1447	C₄⋊C₄	—	5	1	no	—
1448	C₄⋊C₄	—	5	1	no	—
1449	C₄⋊C₄	—	5	1	no	—
1450	C₄⋊C₄	—	5	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	—	10	1	no	—
1465	C₄⋊C₄	—	10	1	no	—
1466	C₄⋊C₄	—	10	1	no	—
1467	C₄⋊C₄	—	10	1	no	—
1468	C₄⋊C₄	—	10	1	no	—
1469	C₄⋊C₄	—	10	1	no	—
1470	C₄⋊C₄	—	10	1	no	—
1471	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1472	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1473	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1474	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1475	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1476	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1477	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	5	1	no	—
1485	C₂²⋊C₄	—	5	1	no	—
1486	C₂²⋊C₄	—	5	1	no	—
1487	C₂²⋊C₄	—	5	1	no	—
1488	C₂²⋊C₄	—	5	1	no	—
1489	C₂²⋊C₄	—	5	1	no	—
1490	C₂²⋊C₄	—	5	1	no	—
1491	C₂²⋊C₄	—	5	1	no	—
1492	C₂²⋊C₄	—	5	1	no	—
1493	C₂²⋊C₄	—	5	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	—	10	1	no	—
1511	C₂²⋊C₄	—	10	1	no	—
1512	C₂²⋊C₄	—	10	1	no	—
1513	C₂²⋊C₄	—	10	1	no	—
1514	C₂²⋊C₄	—	10	1	no	—
1515	C₂²⋊C₄	—	10	1	no	—
1516	C₂²⋊C₄	—	10	1	no	—
1517	C₂²⋊C₄	—	10	1	no	—
1518	C₂²⋊C₄	—	10	1	no	—
1519	C₂²⋊C₄	—	10	1	no	—
1520	C₄²	—	5	1	no	—
1521	C₄²	—	5	1	no	—
1522	C₄²	—	5	1	no	—
1523	C₄²	—	10	1	no	—
1524	C₄²	—	10	1	no	—
1525	C₄²	—	10	1	no	—
1526	C₄²	—	10	1	no	—
1527	C₄²	C₂³×D₅	1	1	yes	characteristic
1528	C₄²	C₂³×D₅	1	1	yes	characteristic
1529	C₄²	C₂³×D₅	1	1	yes	characteristic
1530	C₂×C₅	—	8	1	no	—
1531	C₂×C₅	—	8	1	no	—
1532	C₂×C₅	—	8	1	no	—
1533	C₂×C₅	—	8	1	no	—
1534	C₂×C₅	#3489	1	1	yes	characteristic
1535	C₂×C₅	C₂×#576	1	1	yes	characteristic
1536	C₂×C₅	#3585	1	1	yes	characteristic
1537	D₅	—	2	2	no	—
1538	D₅	—	4	1	no	—
1539	D₅	—	4	1	no	—
1540	D₅	—	4	2	no	—
1541	D₅	—	8	1	no	—
1542	C₂³	—	2	1	no	—
1543	C₂³	—	2	1	no	—
1544	C₂³	—	2	1	no	—
1545	C₂³	—	2	1	no	—
1546	C₂³	—	5	1	no	—
1547	C₂³	—	5	1	no	—
1548	C₂³	—	5	1	no	—
1549	C₂³	—	10	1	no	—
1550	C₂³	—	10	1	no	—
1551	C₂³	—	20	2	no	—
1552	C₂³	—	20	2	no	—
1553	C₂³	—	20	2	no	—
1554	C₂³	—	20	2	no	—
1555	C₂³	—	40	1	no	—
1556	C₂³	—	40	1	no	—
1557	C₂³	—	40	1	no	—
1558	C₂³	—	40	1	no	—
1559	C₂³	—	40	1	no	—
1560	Q₈	—	4	1	no	—
1561	Q₈	—	8	1	no	—
1562	Q₈	—	40	1	no	—
1563	Q₈	—	40	1	no	—
1564	Q₈	—	40	1	no	—
1565	D₄	—	2	1	no	—
1566	D₄	—	2	1	no	—
1567	D₄	—	2	1	no	—
1568	D₄	—	2	1	no	—
1569	D₄	—	2	1	no	—
1570	D₄	—	2	1	no	—
1571	D₄	—	2	1	no	—
1572	D₄	—	2	1	no	—
1573	D₄	—	4	2	no	—
1574	D₄	—	5	2	no	—
1575	D₄	—	8	1	no	—
1576	D₄	—	8	1	no	—
1577	D₄	—	8	1	no	—
1578	D₄	—	8	1	no	—
1579	D₄	—	8	1	no	—
1580	D₄	—	10	2	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	2	no	—
1590	D₄	—	20	2	no	—
1591	D₄	—	20	2	no	—
1592	D₄	—	20	2	no	—
1593	D₄	—	40	1	no	—
1594	D₄	—	40	1	no	—
1595	D₄	—	40	1	no	—
1596	D₄	—	40	1	no	—
1597	D₄	—	40	1	no	—
1598	D₄	—	40	1	no	—
1599	D₄	—	40	1	no	—
1600	D₄	—	40	1	no	—
1601	D₄	—	40	1	no	—
1602	D₄	—	40	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	4	2	no	—
1608	C₂×C₄	—	5	1	no	—
1609	C₂×C₄	—	5	1	no	—
1610	C₂×C₄	—	5	1	no	—
1611	C₂×C₄	—	5	1	no	—
1612	C₂×C₄	—	5	1	no	—
1613	C₂×C₄	—	8	1	no	—
1614	C₂×C₄	—	8	1	no	—
1615	C₂×C₄	—	8	1	no	—
1616	C₂×C₄	—	8	1	no	—
1617	C₂×C₄	—	8	1	no	—
1618	C₂×C₄	—	10	2	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	—	10	1	no	—
1625	C₂×C₄	—	10	1	no	—
1626	C₂×C₄	—	10	1	no	—
1627	C₂×C₄	—	10	1	no	—
1628	C₂×C₄	—	10	1	no	—
1629	C₂×C₄	—	10	1	no	—
1630	C₂×C₄	—	10	1	no	—
1631	C₂×C₄	—	20	1	no	—
1632	C₂×C₄	—	20	2	no	—
1633	C₂×C₄	—	20	2	no	—
1634	C₂×C₄	—	40	1	no	—
1635	C₂×C₄	—	40	1	no	—
1636	C₂×C₄	—	40	1	no	—
1637	C₂×C₄	—	40	1	no	—
1638	C₂×C₄	—	40	1	no	—
1639	C₂×C₄	—	40	1	no	—
1640	C₂×C₄	—	40	1	no	—
1641	C₂×C₄	—	40	1	no	—
1642	C₂×C₄	—	40	1	no	—
1643	C₂×C₄	—	40	1	no	—
1644	C₂×C₄	—	40	1	no	—
1645	C₂×C₄	—	40	1	no	—
1646	C₂×C₄	—	40	1	no	—
1647	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1648	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1649	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1650	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1651	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1652	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1653	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1654	C₈	—	2	1	no	—
1655	C₈	—	2	1	no	—
1656	C₈	—	2	1	no	—
1657	C₈	—	2	1	no	—
1658	C₈	—	10	1	no	—
1659	C₈	—	10	1	no	—
1660	C₈	—	10	1	no	—
1661	C₈	—	10	1	no	—
1662	C₅	#62163	1	1	yes	characteristic, complemented, Sylow
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	4	1	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	4	1	no	—
1672	C₂²	—	4	1	no	—
1673	C₂²	—	4	1	no	—
1674	C₂²	—	4	1	no	—
1675	C₂²	—	5	2	no	—
1676	C₂²	—	10	1	no	—
1677	C₂²	—	10	1	no	—
1678	C₂²	—	10	1	no	—
1679	C₂²	—	10	1	no	—
1680	C₂²	—	10	1	no	—
1681	C₂²	—	10	1	no	—
1682	C₂²	—	10	1	no	—
1683	C₂²	—	10	1	no	—
1684	C₂²	—	10	2	no	—
1685	C₂²	—	20	1	no	—
1686	C₂²	—	20	1	no	—
1687	C₂²	—	20	1	no	—
1688	C₂²	—	20	1	no	—
1689	C₂²	—	20	1	no	—
1690	C₂²	—	40	4	no	—
1691	C₂²	—	80	2	no	—
1692	C₂²	—	80	2	no	—
1693	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1694	C₄	—	2	1	no	—
1695	C₄	—	2	1	no	—
1696	C₄	—	2	1	no	—
1697	C₄	—	2	1	no	—
1698	C₄	—	2	1	no	—
1699	C₄	—	2	1	no	—
1700	C₄	—	4	1	no	—
1701	C₄	—	4	1	no	—
1702	C₄	—	4	1	no	—
1703	C₄	—	4	1	no	—
1704	C₄	—	10	1	no	—
1705	C₄	—	10	1	no	—
1706	C₄	—	10	1	no	—
1707	C₄	—	10	1	no	—
1708	C₄	—	10	1	no	—
1709	C₄	—	20	1	no	—
1710	C₄	—	20	1	no	—
1711	C₄	—	20	1	no	—
1712	C₄	—	20	1	no	—
1713	C₄	—	20	1	no	—
1714	C₄	—	20	1	no	—
1715	C₄	#66283	1	1	yes	characteristic
1716	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1717	C₂	—	8	1	no	—
1718	C₂	—	8	1	no	—
1719	C₂	—	8	1	no	—
1720	C₂	—	8	1	no	—
1721	C₂	—	10	2	no	—
1722	C₂	—	20	1	no	—
1723	C₂	—	20	1	no	—
1724	C₂	—	20	2	no	—
1725	C₂	—	40	1	no	—
1726	C₂	#10618615	1	1	yes	characteristic
1727	C₂	#10619093	1	1	yes	characteristic
1728	C₂	D₅×#576	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×#3366	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3366	D₅
hypocenter	C₅	#62163
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3366

Complements

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

N	H ≅ G/N	type
1. #10618858	C₂	semidirect
2. #10618676	C₂	semidirect
3. C₅×#3366	C₂	semidirect
4. #10615364	C₂	semidirect
5. #10615312	C₂	semidirect
6. #10613458	C₂	semidirect
7. #10613458	C₂	semidirect
8. #10613454	C₂	semidirect
9. #10613452	C₂	semidirect
10. #10613307	C₂	semidirect
11. #10613306	C₂	semidirect
12. #10612929	C₂	semidirect
13. #10612926	C₂	semidirect
14. #10612900	C₂	semidirect
15. D₅×#478	C₂	semidirect
16. #10612814	C₂	semidirect
17. #10612793	C₂	semidirect
18. #10612086	C₂	semidirect
19. #10612086	C₂	semidirect
20. #10612083	C₂	semidirect
21. #10612078	C₂	semidirect
22. #10612078	C₂	semidirect
23. #10612073	C₂	semidirect
24. #10611710	C₂	semidirect
25. #10611677	C₂	semidirect
26. #10611616	C₂	semidirect
27. #10611615	C₂	semidirect
28. #10611605	C₂	semidirect
29. #10611600	C₂	semidirect
30. #10611346	C₂	semidirect
31. #10611327	C₂	semidirect
32. C₅×#554	C₂²	semidirect
36. #66063	C₂²	semidirect
37. #66060	C₂²	semidirect
44. #66029	C₂²	semidirect
45. #66029	C₂²	semidirect
46. #66023	C₂²	semidirect
47. D₅×#125	C₂²	semidirect
62. #65913	C₂²	semidirect
64. #65896	C₂²	semidirect
65. #65896	C₂²	semidirect
68. #65892	C₂²	semidirect
69. #65892	C₂²	semidirect
70. #65885	C₂²	semidirect
71. #65882	C₂²	semidirect
77. C₅×#490	C₂²	semidirect
78. C₅×#490	C₂²	semidirect
79. C₅×#486	C₂²	semidirect
80. C₅×#478	C₂²	semidirect
81. C₅×#478	C₂²	semidirect
82. C₅×#476	C₂²	semidirect
83. C₅×#459	C₂²	semidirect
84. C₅×#459	C₂²	semidirect
85. C₅×#459	C₂²	semidirect
86. C₅×#446	C₂²	semidirect
87. C₅×#442	C₂²	semidirect
88. C₅×#442	C₂²	semidirect
89. C₄×C₅×D₈	C₂²	semidirect
90. #65448	C₂²	semidirect
91. #65448	C₂²	semidirect
92. #65446	C₂²	semidirect
93. #65446	C₂²	semidirect
94. #65446	C₂²	semidirect
95. #65446	C₂²	semidirect
99. #65439	C₂²	semidirect
100. #65439	C₂²	semidirect
101. #65439	C₂²	semidirect
103. #65369	C₂²	semidirect
104. #65361	C₂²	semidirect
105. #65361	C₂²	semidirect
106. #65361	C₂²	semidirect
107. #65360	C₂²	semidirect
108. #65360	C₂²	semidirect
109. #65359	C₂²	semidirect
112. #65354	C₂²	semidirect
113. #65353	C₂²	semidirect
114. #65313	C₂²	semidirect
117. #65303	C₂²	semidirect
118. #65303	C₂²	semidirect
120. C₄×#686	C₂²	semidirect
121. #65298	C₂²	semidirect
122. #65298	C₂²	semidirect
123. #65298	C₂²	semidirect
124. #65298	C₂²	semidirect
125. #65297	C₂²	semidirect
126. #65296	C₂²	semidirect
128. #65174	C₂²	semidirect
129. #65169	C₂²	semidirect
130. D₅×#107	C₂²	semidirect
133. #65155	C₂²	semidirect
134. #65152	C₂²	semidirect
135. #65150	C₂²	semidirect
136. #65150	C₂²	semidirect
137. #65149	C₂²	semidirect
138. D₅×#106	C₂²	semidirect
141. #65136	C₂²	semidirect
142. #65136	C₂²	semidirect
144. #65135	C₂²	semidirect
145. #65128	C₂²	semidirect
146. #65128	C₂²	semidirect
147. #65125	C₂²	semidirect
148. #65125	C₂²	semidirect
149. #65123	C₂²	semidirect
150. D₅×C₄⋊C₈	C₂²	semidirect
152. #65073	C₂²	semidirect
153. #65073	C₂²	semidirect
154. #65073	C₂²	semidirect
155. #65071	C₂²	semidirect
156. #65071	C₂²	semidirect
157. #65068	C₂²	semidirect
158. #65068	C₂²	semidirect
159. #65068	C₂²	semidirect
160. #65066	C₂²	semidirect
161. #65066	C₂²	semidirect
162. #65066	C₂²	semidirect
163. #65066	C₂²	semidirect
164. #65066	C₂²	semidirect
165. #65064	C₂²	semidirect
166. #65064	C₂²	semidirect
167. #65064	C₂²	semidirect
168. #65064	C₂²	semidirect
169. #65063	C₂²	semidirect
170. #65063	C₂²	semidirect
171. #65063	C₂²	semidirect
172. #65063	C₂²	semidirect
182. #65055	C₂²	semidirect
183. #65055	C₂²	semidirect
184. #65055	C₂²	semidirect
185. #65052	C₂²	semidirect
186. #65052	C₂²	semidirect
187. #65052	C₂²	semidirect
188. #65050	C₂²	semidirect
189. #65048	C₂²	semidirect
190. #65048	C₂²	semidirect
193. #64998	C₂²	semidirect
194. #64995	C₂²	semidirect
195. #64995	C₂²	semidirect
196. #64994	C₂²	semidirect
197. #64991	C₂²	semidirect
198. #64991	C₂²	semidirect
200. #64979	C₂²	semidirect
201. C₈×D₂₀	C₂²	semidirect
202. #64972	C₂²	semidirect
484. #3366	D₅	semidirect
715. #554	C₂×D₅	semidirect
763. #490	C₂×D₅	semidirect
764. #490	C₂×D₅	semidirect
766. #486	C₂×D₅	semidirect
803. #478	C₂×D₅	semidirect
804. #478	C₂×D₅	semidirect
808. #476	C₂×D₅	semidirect
834. #459	C₂×D₅	semidirect
835. #459	C₂×D₅	semidirect
836. #459	C₂×D₅	semidirect
844. #446	C₂×D₅	semidirect
851. #442	C₂×D₅	semidirect
852. #442	C₂×D₅	semidirect
856. C₄×D₈	C₂×D₅	semidirect
1662. C₅	#62163	semidirect

Maximal subgroups

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

subgroup	index
#10618858	2
#10618676	2
C₅×#3366	2
#10615364	2
#10615312	2
#10613458	2
#10613454	2
#10613452	2
#10613307	2
#10613306	2
#10612929	2
#10612926	2
#10612900	2
D₅×#478	2
#10612814	2
#10612793	2
#10612086	2
#10612083	2
#10612078	2
#10612073	2
#10611710	2
#10611677	2
#10611616	2
#10611615	2
#10611605	2
#10611600	2
#10611346	2
#10611327	2
#62163	5