Subgroups — #12963839

Order 1280.

1962 conjugacy classes of subgroups.

The subgroup lattice has 1406 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10617737	C₂	1	1	yes	maximal, characteristic
2	C₅×#2970	C₂	1	1	yes	maximal, characteristic, complemented
3	#10614249	C₂	1	1	yes	maximal, characteristic, complemented
4	#10611690	C₂	1	2	yes	maximal, complemented
5	#10611672	C₂	1	2	yes	maximal, complemented
6	#10611211	C₂	1	2	yes	maximal, complemented
7	#10611209	C₂	1	2	yes	maximal, complemented
8	#10611189	C₂	1	2	yes	maximal, complemented
9	#10611188	C₂	1	2	yes	maximal, complemented
10	#10611152	C₂	1	2	yes	maximal, complemented
11	#10611133	C₂	1	2	yes	maximal, complemented
12	#10611063	C₂	1	1	yes	maximal, characteristic, complemented
13	#10611063	C₂	1	1	yes	maximal, characteristic, complemented
14	#10611062	C₂	1	1	yes	maximal, characteristic, complemented
15	#10611059	C₂	1	1	yes	maximal, characteristic, complemented
16	#10611058	C₂	1	1	yes	maximal, characteristic, complemented
17	#10611058	C₂	1	1	yes	maximal, characteristic, complemented
18	#10610255	C₂	1	1	yes	maximal, characteristic, complemented
19	#10610247	C₂	1	1	yes	maximal, characteristic, complemented
20	#10610217	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×D₅×#97	C₂	1	1	yes	maximal, characteristic, complemented
22	#10610213	C₂	1	1	yes	maximal, characteristic, complemented
23	#10610213	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×C₅×#41	C₂²	1	1	yes	characteristic
25	#66166	C₄	1	1	yes	characteristic
26	#66162	C₄	1	1	yes	characteristic
27	C₂×#4053	C₂²	1	2	yes	—
28	C₂×#4047	C₂²	1	2	yes	—
29	C₂²×C₈×D₅	C₂²	1	2	yes	—
30	#65914	C₄	1	1	yes	characteristic
31	#65914	C₂²	1	1	yes	characteristic
32	#65912	C₄	1	1	yes	characteristic
33	#65912	C₂²	1	1	yes	characteristic
34	#65891	C₄	1	1	yes	characteristic
35	#65891	C₂²	1	1	yes	characteristic
36	#65882	C₄	1	1	yes	characteristic
37	#65882	C₂²	1	1	yes	characteristic
38	#65881	C₄	1	1	yes	characteristic
39	#65881	C₄	1	1	yes	characteristic
40	#65881	C₂²	1	1	yes	characteristic
41	#65881	C₂²	1	1	yes	characteristic
42	#65872	C₄	1	1	yes	characteristic
43	#65872	C₄	1	1	yes	characteristic
44	#65872	C₂²	1	1	yes	characteristic
45	#65872	C₂²	1	1	yes	characteristic
46	#65862	C₄	1	1	yes	characteristic
47	#65862	C₄	1	1	yes	characteristic
48	#65862	C₄	1	1	yes	characteristic
49	#65862	C₄	1	1	yes	characteristic
50	#65858	C₄	1	1	yes	characteristic
51	#65851	C₄	1	1	yes	characteristic
52	C₄×#709	C₂²	1	1	yes	characteristic
53	C₄×#709	C₂²	1	1	yes	characteristic
54	C₄×#709	C₂²	1	1	yes	characteristic
55	C₄×#709	C₂²	1	1	yes	characteristic
56	C₄×#709	C₂²	1	1	yes	characteristic
57	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
58	C₅×#446	C₂²	1	2	yes	complemented
59	C₅×#435	C₂²	1	2	yes	—
60	C₅×#435	C₂²	1	2	yes	complemented
61	C₅×C₈×D₄	C₂²	1	2	yes	—
62	C₅×#432	C₂²	1	1	yes	characteristic
63	C₅×#432	C₂²	1	1	yes	characteristic, complemented
64	C₅×#432	C₂²	1	1	yes	characteristic, complemented
65	C₄×C₅×M₁₆	C₂²	1	1	yes	characteristic, complemented
66	C₂×C₅×#97	C₂²	1	1	yes	characteristic
67	C₂×C₅×#97	C₂²	1	1	yes	characteristic, complemented
68	#65416	C₂²	1	2	yes	—
69	#65416	C₂²	1	2	yes	complemented
70	#65411	C₂²	1	2	yes	complemented
71	#65400	C₂²	1	2	yes	—
72	#65400	C₂²	1	2	yes	complemented
73	C₈×C₂²⋊D₅	C₂²	1	2	yes	—
74	C₈×C₂²⋊D₅	C₂²	1	2	yes	—
75	#65390	C₂²	1	2	yes	complemented
76	C₂×#3947	C₂²	1	2	yes	—
77	#65313	C₂²	1	2	yes	complemented
78	#65300	C₂²	1	2	yes	—
79	#65300	C₂²	1	2	yes	complemented
80	D₄×#168	C₂²	1	2	yes	—
81	#65215	C₂²	1	1	yes	characteristic
82	#65215	C₂²	1	1	yes	characteristic, complemented
83	#65215	C₂²	1	1	yes	characteristic, complemented
84	C₄×#681	C₂²	1	1	yes	characteristic, complemented
85	C₂×#3935	C₂²	1	1	yes	characteristic
86	C₂×#3935	C₂²	1	1	yes	characteristic, complemented
87	#65129	C₂²	1	2	yes	complemented
88	#65129	C₂²	1	2	yes	complemented
89	#65128	C₂²	1	2	yes	—
90	#65128	C₂²	1	2	yes	—
91	#65126	C₂²	1	2	yes	—
92	#65125	C₂²	1	2	yes	—
93	#65125	C₂²	1	2	yes	complemented
94	#65123	C₂²	1	2	yes	—
95	#65122	C₂²	1	2	yes	—
96	#65120	C₂²	1	2	yes	complemented
97	#65117	C₂²	1	2	yes	complemented
98	#65117	C₂²	1	2	yes	complemented
99	#65019	C₂²	1	2	yes	—
100	#65019	C₂²	1	2	yes	complemented
101	#65017	C₂²	1	2	yes	—
102	#65017	C₂²	1	2	yes	complemented
103	#65016	C₂²	1	2	yes	—
104	#65016	C₂²	1	2	yes	—
105	#65015	C₂²	1	2	yes	—
106	#65014	C₂²	1	2	yes	—
107	#65014	C₂²	1	2	yes	—
108	#65009	C₂²	1	2	yes	complemented
109	#65009	C₂²	1	2	yes	complemented
110	#65007	C₂²	1	2	yes	—
111	#64997	C₂²	1	2	yes	—
112	#64997	C₂²	1	2	yes	complemented
113	#64996	C₂²	1	1	yes	characteristic
114	#64996	C₂²	1	1	yes	characteristic
115	#64996	C₂²	1	1	yes	characteristic, complemented
116	#64996	C₂²	1	1	yes	characteristic, complemented
117	#64995	C₂²	1	2	yes	—
118	#64995	C₂²	1	2	yes	complemented
119	#64994	C₂²	1	1	yes	characteristic
120	#64994	C₂²	1	1	yes	characteristic
121	#64994	C₂²	1	1	yes	characteristic, complemented
122	#64994	C₂²	1	1	yes	characteristic, complemented
123	#64994	C₂²	1	1	yes	characteristic, complemented
124	#64994	C₂²	1	1	yes	characteristic, complemented
125	D₅×#97	C₂²	1	2	yes	—
126	D₅×#97	C₂²	1	1	yes	characteristic
127	D₅×#97	C₂²	1	1	yes	characteristic
128	D₅×#97	C₂²	1	1	yes	characteristic
129	D₅×#97	C₂²	1	1	yes	characteristic
130	D₅×#97	C₂²	1	2	yes	—
131	D₅×#97	C₂²	1	1	yes	characteristic, complemented
132	D₅×#97	C₂²	1	1	yes	characteristic, complemented
133	#64990	C₂²	1	2	yes	complemented
134	#64990	C₂²	1	2	yes	complemented
135	#64978	C₂²	1	2	yes	—
136	#64978	C₂²	1	2	yes	complemented
137	C₈×D₂₀	C₂²	1	2	yes	—
138	#64968	C₂²	1	2	yes	complemented
139	#60207	—	5	1	no	maximal, Sylow
140	C₂×C₅×#41	C₂×C₄	1	1	yes	characteristic
141	C₂×#709	C₂×C₄	1	1	yes	characteristic
142	C₂×#709	C₂×C₄	1	1	yes	characteristic
143	C₂×#709	C₂×C₄	1	1	yes	characteristic
144	C₂×#709	C₂³	1	1	yes	characteristic
145	C₂×#709	C₂³	1	1	yes	characteristic
146	C₂²×C₄×D₅	C₂×C₄	1	1	yes	characteristic
147	C₂²×C₄×D₅	C₂×C₄	1	1	yes	characteristic
148	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
149	C₂×C₅×M₁₆	C₂³	1	2	yes	—
150	C₂²×C₅×C₈	C₂³	1	2	yes	—
151	C₂²×C₅×C₈	C₂³	1	2	yes	—
152	C₄×C₅×Q₈	C₂×C₄	1	1	yes	characteristic
153	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
154	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic
155	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic
156	C₄×C₅×D₄	C₂×C₄	1	1	yes	characteristic
157	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
158	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
159	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
160	C₅×#117	C₂×C₄	1	1	yes	characteristic
161	C₅×#117	C₂×C₄	1	1	yes	characteristic
162	C₅×#117	C₂×C₄	1	1	yes	characteristic
163	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
164	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
165	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
166	#4093	C₂×C₄	1	1	yes	characteristic
167	#4092	C₂×C₄	1	1	yes	characteristic
168	#4092	C₂×C₄	1	1	yes	characteristic
169	#4090	C₂×C₄	1	1	yes	characteristic
170	#4086	C₂×C₄	1	1	yes	characteristic
171	#4085	C₂×C₄	1	1	yes	characteristic
172	#4085	C₂×C₄	1	1	yes	characteristic
173	#4085	C₂×C₄	1	1	yes	characteristic
174	#4085	C₂×C₄	1	1	yes	characteristic
175	#4084	C₂×C₄	1	1	yes	characteristic
176	#4084	C₂×C₄	1	1	yes	characteristic
177	#4083	C₂×C₄	1	1	yes	characteristic
178	#4083	C₂×C₄	1	1	yes	characteristic
179	#4082	C₂×C₄	1	1	yes	characteristic
180	#4081	C₂×C₄	1	1	yes	characteristic
181	#4081	C₂×C₄	1	1	yes	characteristic
182	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
183	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
184	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
185	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
186	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
187	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
188	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
189	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
190	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
191	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
192	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
193	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
194	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
195	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
196	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
197	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
198	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
199	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
200	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
201	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
202	#4072	C₂×C₄	1	1	yes	characteristic
203	#4072	C₂×C₄	1	1	yes	characteristic
204	#4072	C₂×C₄	1	1	yes	characteristic
205	#4072	C₂³	1	1	yes	characteristic
206	#4072	C₂³	1	1	yes	characteristic
207	C₂×C₄×Dic₅	C₂×C₄	1	1	yes	characteristic
208	C₂×C₄×Dic₅	C₂×C₄	1	1	yes	characteristic
209	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
210	C₂×#681	C₂³	1	2	yes	—
211	C₂²×#168	C₂³	1	2	yes	—
212	C₂²×#168	C₂³	1	2	yes	—
213	#4053	—	2	8	no	—
214	#4047	—	2	8	no	—
215	C₂×#676	C₂³	1	2	yes	—
216	C₂×#676	C₂³	1	2	yes	—
217	C₂×#676	C₂³	1	2	yes	—
218	C₂×#676	C₂³	1	2	yes	—
219	C₂×C₈×D₅	—	2	8	no	—
220	C₂×C₈×D₅	C₂³	1	2	yes	—
221	C₂×C₈×D₅	C₂³	1	2	yes	—
222	C₂×C₈×D₅	C₂³	1	2	yes	—
223	C₂×C₈×D₅	C₂³	1	2	yes	—
224	C₂×C₈×D₅	C₂³	1	2	yes	—
225	C₂×C₈×D₅	C₂³	1	2	yes	—
226	#4044	C₂×C₄	1	1	yes	characteristic
227	#4044	C₂×C₄	1	1	yes	characteristic
228	#4044	C₂×C₄	1	1	yes	characteristic
229	#4044	C₂×C₄	1	1	yes	characteristic
230	#4043	C₂×C₄	1	1	yes	characteristic
231	#4043	C₂×C₄	1	1	yes	characteristic
232	#4042	C₂×C₄	1	1	yes	characteristic
233	#4042	C₂×C₄	1	1	yes	characteristic
234	#4042	C₂×C₄	1	1	yes	characteristic
235	#4042	C₂×C₄	1	1	yes	characteristic
236	#4041	C₂×C₄	1	1	yes	characteristic
237	#4041	C₂×C₄	1	1	yes	characteristic
238	#4040	C₂×C₄	1	1	yes	characteristic
239	#4040	C₂×C₄	1	1	yes	characteristic
240	#4040	C₂×C₄	1	1	yes	characteristic
241	#4040	C₂×C₄	1	1	yes	characteristic
242	#4036	C₂×C₄	1	1	yes	characteristic
243	#4036	C₂×C₄	1	1	yes	characteristic
244	#4035	C₂×C₄	1	1	yes	characteristic
245	#4035	C₂×C₄	1	1	yes	characteristic
246	#4035	C₂×C₄	1	1	yes	characteristic
247	#4035	C₂×C₄	1	1	yes	characteristic
248	#4034	C₂×C₄	1	1	yes	characteristic
249	#4034	C₂×C₄	1	1	yes	characteristic
250	#4032	C₂×C₄	1	1	yes	characteristic
251	#4032	C₂×C₄	1	1	yes	characteristic
252	#4031	C₂×C₄	1	1	yes	characteristic
253	#4031	C₂×C₄	1	1	yes	characteristic
254	#4031	C₂×C₄	1	1	yes	characteristic
255	#4031	C₂×C₄	1	1	yes	characteristic
256	#4030	C₂×C₄	1	1	yes	characteristic
257	#4030	C₂×C₄	1	1	yes	characteristic
258	#4030	C₂×C₄	1	1	yes	characteristic
259	#4030	C₂×C₄	1	1	yes	characteristic
260	#4029	C₂×C₄	1	1	yes	characteristic
261	#4029	C₂×C₄	1	1	yes	characteristic
262	#4029	C₂×C₄	1	1	yes	characteristic
263	#4029	C₂×C₄	1	1	yes	characteristic
264	#4028	C₂×C₄	1	1	yes	characteristic
265	#4028	C₂×C₄	1	1	yes	characteristic
266	#4025	C₂×C₄	1	1	yes	characteristic
267	#4025	C₂×C₄	1	1	yes	characteristic
268	#4025	C₂×C₄	1	1	yes	characteristic
269	#4025	C₂×C₄	1	1	yes	characteristic
270	#4024	C₂×C₄	1	1	yes	characteristic
271	#4024	C₂×C₄	1	1	yes	characteristic
272	#4024	C₂×C₄	1	1	yes	characteristic
273	#4024	C₂×C₄	1	1	yes	characteristic
274	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic
275	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic
276	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic
277	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic
278	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic
279	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic
280	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic
281	C₄×D₂₀	C₂³	1	1	yes	characteristic
282	C₄×D₂₀	C₂³	1	1	yes	characteristic
283	C₄×D₂₀	C₂³	1	1	yes	characteristic
284	#4018	C₂×C₄	1	1	yes	characteristic
285	#4018	C₂×C₄	1	1	yes	characteristic
286	#4018	C₂×C₄	1	1	yes	characteristic
287	#4018	C₂×C₄	1	1	yes	characteristic
288	#4018	C₂×C₄	1	1	yes	characteristic
289	#4018	C₂×C₄	1	1	yes	characteristic
290	#4018	C₂³	1	1	yes	characteristic
291	#4018	C₂³	1	1	yes	characteristic
292	#4018	C₂³	1	1	yes	characteristic
293	#4018	C₂³	1	1	yes	characteristic
294	C₄²×D₅	C₂×C₄	1	1	yes	characteristic
295	C₄²×D₅	C₂×C₄	1	1	yes	characteristic
296	C₄²×D₅	C₂×C₄	1	1	yes	characteristic
297	C₄²×D₅	C₂×C₄	1	1	yes	characteristic
298	C₄²×D₅	C₂³	1	1	yes	characteristic
299	C₄²×D₅	C₂³	1	1	yes	characteristic
300	C₄²×D₅	C₂³	1	1	yes	characteristic
301	C₄²×D₅	C₂³	1	1	yes	characteristic
302	C₄²×D₅	C₂³	1	1	yes	characteristic
303	C₄²×D₅	C₂³	1	1	yes	characteristic
304	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic
305	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic
306	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic
307	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic
308	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic
309	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic
310	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic
311	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
312	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
313	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
314	C₅×C₄⋊C₈	C₂³	1	2	yes	—
315	C₅×C₄⋊C₈	C₂³	1	2	yes	—
316	C₅×C₄⋊C₈	C₂³	1	2	yes	—
317	C₅×C₂²⋊C₈	C₂³	1	2	yes	—
318	C₅×C₂²⋊C₈	C₂³	1	2	yes	—
319	C₅×C₂²⋊C₈	C₂³	1	2	yes	—
320	C₅×#97	C₂³	1	1	yes	characteristic
321	C₅×#97	C₂³	1	1	yes	characteristic
322	C₅×#97	C₂³	1	2	yes	—
323	C₅×#97	C₂³	1	1	yes	characteristic
324	C₅×#97	C₂³	1	2	yes	—
325	C₅×#97	C₂³	1	1	yes	characteristic
326	C₄×C₅×C₈	C₂³	1	2	yes	—
327	C₂²⋊#168	C₂³	1	2	yes	—
328	C₂²⋊#168	C₂³	1	2	yes	—
329	C₂²⋊#168	C₂³	1	2	yes	—
330	#3952	C₂³	1	2	yes	—
331	#3952	C₂³	1	2	yes	—
332	#3952	C₂³	1	2	yes	—
333	#3952	C₂³	1	2	yes	—
334	#3952	C₂³	1	2	yes	—
335	#3952	C₂³	1	2	yes	—
336	#3947	C₂³	1	2	yes	—
337	#3947	C₂³	1	2	yes	—
338	#3947	C₂³	1	2	yes	—
339	#3947	C₂³	1	2	yes	—
340	#3947	C₂³	1	2	yes	—
341	#3947	C₂³	1	2	yes	—
342	#3946	C₂³	1	2	yes	—
343	#3946	C₂³	1	2	yes	—
344	#3946	C₂³	1	2	yes	—
345	#3946	C₂³	1	2	yes	—
346	#3946	C₂³	1	2	yes	—
347	#3946	C₂³	1	2	yes	—
348	C₈×Dic₅	C₂³	1	2	yes	—
349	C₈×Dic₅	C₂³	1	2	yes	—
350	C₈×Dic₅	C₂³	1	2	yes	—
351	C₈×Dic₅	C₂³	1	2	yes	—
352	C₄⋊#168	C₂³	1	2	yes	—
353	C₄⋊#168	C₂³	1	2	yes	—
354	C₄⋊#168	C₂³	1	2	yes	—
355	#3935	C₂³	1	2	yes	—
356	#3935	C₂³	1	2	yes	—
357	#3935	C₂³	1	1	yes	characteristic
358	#3935	C₂³	1	1	yes	characteristic
359	#3935	C₂³	1	1	yes	characteristic
360	#3935	C₂³	1	1	yes	characteristic
361	C₄×#168	C₂³	1	2	yes	—
362	#3444	—	5	1	no	—
363	#2970	—	5	1	no	—
364	#2970	—	5	1	no	—
365	#2970	—	5	1	no	—
366	#2970	—	5	1	no	—
367	#2970	—	5	1	no	—
368	#2970	—	5	1	no	—
369	#2970	—	5	1	no	—
370	#2970	D₅	1	1	yes	characteristic, complemented
371	#2968	—	5	2	no	—
372	#2968	—	5	2	no	—
373	#2968	—	5	2	no	—
374	#2968	—	5	2	no	—
375	#2961	—	5	2	no	—
376	#2932	—	5	2	no	—
377	#2929	—	5	2	no	—
378	#2929	—	5	2	no	—
379	#2923	—	5	1	no	—
380	#2923	—	5	1	no	—
381	#2920	—	5	1	no	—
382	#2875	—	5	1	no	—
383	#2875	—	5	1	no	—
384	C₂²×#97	—	5	1	no	—
385	C₂³×D₅	C₂²×C₄	1	1	yes	characteristic
386	C₅×#41	—	4	2	no	—
387	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
388	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
389	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
390	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
391	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
392	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
393	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
394	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
395	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
396	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
397	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
400	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
401	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
402	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
403	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
404	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
405	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
406	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
407	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
408	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
409	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
410	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
411	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
412	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
413	#709	—	2	4	no	—
414	#709	—	2	4	no	—
415	#709	—	4	2	no	—
416	#709	—	4	2	no	—
417	#709	—	4	2	no	—
418	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
419	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
420	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
421	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
422	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
423	C₂×C₄×D₅	—	2	4	no	—
424	C₂×C₄×D₅	—	4	2	no	—
425	C₂×C₄×D₅	—	4	2	no	—
426	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
427	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
428	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
429	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
430	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
431	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
432	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
433	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
434	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
435	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
436	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
437	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
438	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
439	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
440	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
441	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
442	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
443	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
444	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
445	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
446	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
447	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
448	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
449	C₅×M₁₆	—	2	4	no	—
450	C₂×C₅×C₈	—	2	4	no	—
451	C₂×C₅×C₈	—	2	4	no	—
452	C₂×C₅×C₈	C₂⁴	1	2	yes	—
453	C₂×C₅×C₈	C₂⁴	1	2	yes	—
454	C₂×C₅×C₈	C₂⁴	1	2	yes	—
455	C₂×C₅×C₈	C₂⁴	1	2	yes	—
456	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
457	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
458	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
459	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
460	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
461	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
462	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
463	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
464	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
465	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
466	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
467	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
468	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
469	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
470	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
471	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
472	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
473	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
474	C₄²×C₅	C₂⁴	1	1	yes	characteristic
475	C₄²×C₅	C₂⁴	1	1	yes	characteristic
476	C₄²×C₅	C₂⁴	1	1	yes	characteristic
477	C₄²×C₅	C₂⁴	1	1	yes	characteristic
478	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
479	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
480	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
481	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
482	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
483	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
484	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
485	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
486	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
487	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
488	#685	C₂²×C₄	1	1	yes	characteristic
489	#685	C₂²×C₄	1	1	yes	characteristic
490	#685	C₂²×C₄	1	1	yes	characteristic
491	#685	C₂²×C₄	1	1	yes	characteristic
492	#685	C₂²×C₄	1	1	yes	characteristic
493	#685	C₂²×C₄	1	1	yes	characteristic
494	#685	C₂²×C₄	1	1	yes	characteristic
495	#685	C₂²×C₄	1	1	yes	characteristic
496	#685	C₂²×C₄	1	1	yes	characteristic
497	#685	C₂²×C₄	1	1	yes	characteristic
498	#685	C₂²×C₄	1	1	yes	characteristic
499	#685	C₂²×C₄	1	1	yes	characteristic
500	#685	C₂²×C₄	1	1	yes	characteristic
501	#685	C₂²×C₄	1	1	yes	characteristic
502	#685	C₂²×C₄	1	1	yes	characteristic
503	#685	C₂²×C₄	1	1	yes	characteristic
504	#685	C₂²×C₄	1	1	yes	characteristic
505	#685	C₂²×C₄	1	1	yes	characteristic
506	#685	C₂²×C₄	1	1	yes	characteristic
507	#685	C₂²×C₄	1	1	yes	characteristic
508	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
509	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
510	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
511	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
512	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
513	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
514	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
515	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
516	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
517	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
518	#683	C₂²×C₄	1	1	yes	characteristic
519	#683	C₂²×C₄	1	1	yes	characteristic
520	#683	C₂²×C₄	1	1	yes	characteristic
521	#683	C₂²×C₄	1	1	yes	characteristic
522	#683	C₂²×C₄	1	1	yes	characteristic
523	#683	C₂²×C₄	1	1	yes	characteristic
524	#683	C₂²×C₄	1	1	yes	characteristic
525	#683	C₂²×C₄	1	1	yes	characteristic
526	#683	C₂²×C₄	1	1	yes	characteristic
527	#683	C₂²×C₄	1	1	yes	characteristic
528	#683	C₂²×C₄	1	1	yes	characteristic
529	#683	C₂²×C₄	1	1	yes	characteristic
530	#683	C₂²×C₄	1	1	yes	characteristic
531	#683	C₂²×C₄	1	1	yes	characteristic
532	#683	C₂²×C₄	1	1	yes	characteristic
533	#683	C₂²×C₄	1	1	yes	characteristic
534	#683	C₂²×C₄	1	1	yes	characteristic
535	#683	C₂²×C₄	1	1	yes	characteristic
536	#683	C₂²×C₄	1	1	yes	characteristic
537	#683	C₂²×C₄	1	1	yes	characteristic
538	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
539	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
540	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
541	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
542	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
543	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
544	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
545	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
546	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
547	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
548	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
549	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
550	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
551	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
552	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
553	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
554	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
555	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
556	#681	—	2	4	no	—
557	C₂×#168	—	2	4	no	—
558	C₂×#168	—	2	4	no	—
559	C₂×#168	C₂⁴	1	2	yes	—
560	C₂×#168	C₂⁴	1	2	yes	—
561	C₂×#168	C₂⁴	1	2	yes	—
562	C₂×#168	C₂⁴	1	2	yes	—
563	#676	—	2	4	no	—
564	#676	—	2	4	no	—
565	#676	—	2	4	no	—
566	#676	—	2	4	no	—
567	C₈×D₅	—	2	4	no	—
568	C₈×D₅	—	2	4	no	—
569	C₈×D₅	—	2	4	no	—
570	C₈×D₅	—	2	4	no	—
571	C₈×D₅	—	2	4	no	—
572	C₈×D₅	#41	1	8	yes	complemented
573	C₂×#131	—	5	2	no	—
574	C₂×#131	—	5	2	no	—
575	C₂³×C₈	—	5	2	no	—
576	#533	—	5	1	no	—
577	#533	—	5	1	no	—
578	#533	—	5	1	no	—
579	#532	—	5	1	no	—
580	#532	—	5	1	no	—
581	#532	—	5	1	no	—
582	#529	—	5	1	no	—
583	#529	—	5	1	no	—
584	#529	—	5	1	no	—
585	#529	—	5	1	no	—
586	#529	—	5	1	no	—
587	#529	—	5	1	no	—
588	#529	—	5	1	no	—
589	#529	—	5	1	no	—
590	#529	—	5	1	no	—
591	#529	—	5	1	no	—
592	#529	—	5	1	no	—
593	#529	—	5	1	no	—
594	#525	—	5	1	no	—
595	#525	—	5	1	no	—
596	#525	—	5	1	no	—
597	#525	—	5	1	no	—
598	#525	—	5	1	no	—
599	#525	—	5	1	no	—
600	C₄×#41	—	5	1	no	—
601	C₄×#41	—	5	1	no	—
602	C₄×#41	—	5	1	no	—
603	C₄×#41	—	5	1	no	—
604	C₄×#41	—	5	1	no	—
605	C₄×#41	C₂×D₅	1	1	yes	characteristic
606	C₂²×C₄²	—	5	1	no	—
607	#446	—	5	2	no	—
608	#446	—	5	2	no	—
609	#446	—	5	2	no	—
610	#446	—	5	2	no	—
611	#446	—	5	2	no	—
612	#446	—	5	2	no	—
613	#446	—	5	2	no	—
614	#446	C₂×D₅	1	2	yes	complemented
615	#435	—	5	2	no	—
616	#435	—	5	2	no	—
617	#435	—	5	2	no	—
618	#435	—	5	2	no	—
619	#435	—	5	2	no	—
620	#435	—	5	2	no	—
621	#435	—	5	2	no	—
622	#435	—	5	2	no	—
623	#435	—	5	2	no	—
624	#435	—	5	2	no	—
625	#435	—	5	2	no	—
626	#435	—	5	2	no	—
627	#435	—	5	2	no	—
628	#435	—	5	2	no	—
629	#435	C₂×D₅	1	2	yes	—
630	#435	C₂×D₅	1	2	yes	complemented
631	C₈×D₄	—	5	2	no	—
632	C₈×D₄	—	5	2	no	—
633	C₈×D₄	—	5	2	no	—
634	C₈×D₄	—	5	2	no	—
635	C₈×D₄	—	5	2	no	—
636	C₈×D₄	—	5	2	no	—
637	C₈×D₄	—	5	2	no	—
638	C₈×D₄	C₂×D₅	1	2	yes	—
639	#433	—	5	2	no	—
640	#433	—	5	2	no	—
641	#433	—	5	2	no	—
642	#433	—	5	2	no	—
643	#432	—	5	1	no	—
644	#432	—	5	1	no	—
645	#432	—	5	1	no	—
646	#432	—	5	1	no	—
647	#432	—	5	1	no	—
648	#432	—	5	1	no	—
649	#432	—	5	1	no	—
650	#432	—	5	1	no	—
651	#432	—	5	1	no	—
652	#432	C₂×D₅	1	1	yes	characteristic
653	#432	C₂×D₅	1	1	yes	characteristic, complemented
654	#432	C₂×D₅	1	1	yes	characteristic, complemented
655	#431	—	5	2	no	—
656	#431	—	5	2	no	—
657	#424	—	5	2	no	—
658	#424	—	5	2	no	—
659	#423	—	5	2	no	—
660	#408	—	5	2	no	—
661	#408	—	5	2	no	—
662	#407	—	5	2	no	—
663	#405	—	5	2	no	—
664	#405	—	5	2	no	—
665	#405	—	5	2	no	—
666	#405	—	5	2	no	—
667	#405	—	5	2	no	—
668	#405	—	5	2	no	—
669	C₄×M₁₆	—	5	1	no	—
670	C₄×M₁₆	—	5	1	no	—
671	C₄×M₁₆	—	5	1	no	—
672	C₄×M₁₆	—	5	1	no	—
673	C₄×M₁₆	—	5	1	no	—
674	C₄×M₁₆	C₂×D₅	1	1	yes	characteristic, complemented
675	C₂×#97	—	5	2	no	—
676	C₂×#97	—	5	1	no	—
677	C₂×#97	—	5	1	no	—
678	C₂×#97	—	5	1	no	—
679	C₂×#97	—	5	1	no	—
680	C₂×#97	—	5	2	no	—
681	C₂×#97	—	5	2	no	—
682	C₂×#97	—	5	1	no	—
683	C₂×#97	—	5	1	no	—
684	C₂×#97	—	5	1	no	—
685	C₂×#97	—	5	1	no	—
686	C₂×#97	C₂×D₅	1	1	yes	characteristic
687	C₂×#97	C₂×D₅	1	1	yes	characteristic, complemented
688	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
689	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
690	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
691	C₂²×D₅	—	2	2	no	—
692	C₂²×D₅	—	2	2	no	—
693	C₂²×D₅	—	2	2	no	—
694	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
695	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
696	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
697	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
698	C₅×Q₈	—	4	1	no	—
699	C₅×D₄	—	2	2	no	—
700	C₅×D₄	—	2	2	no	—
701	C₅×D₄	—	4	1	no	—
702	C₂×C₄×C₅	—	2	2	no	—
703	C₂×C₄×C₅	—	2	2	no	—
704	C₂×C₄×C₅	—	2	2	no	—
705	C₂×C₄×C₅	—	2	2	no	—
706	C₂×C₄×C₅	—	4	1	no	—
707	C₂×C₄×C₅	—	4	1	no	—
708	C₂×C₄×C₅	—	4	1	no	—
709	C₂×C₄×C₅	—	4	1	no	—
710	C₂×C₄×C₅	—	4	1	no	—
711	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
712	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
713	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
714	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
715	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
716	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
717	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
718	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
719	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
720	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
721	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
722	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
723	C₂²⋊D₅	—	2	2	no	—
724	C₂²⋊D₅	—	2	2	no	—
725	C₂²⋊D₅	—	2	2	no	—
726	C₂²⋊D₅	—	2	2	no	—
727	C₂²⋊D₅	—	2	2	no	—
728	C₂²⋊D₅	—	2	2	no	—
729	C₂²⋊D₅	—	2	2	no	—
730	C₂²⋊D₅	—	2	2	no	—
731	C₂²⋊D₅	—	4	1	no	—
732	C₂²⋊D₅	—	4	1	no	—
733	C₂×Dic₅	—	2	2	no	—
734	C₂×Dic₅	—	2	2	no	—
735	C₂×Dic₅	—	4	1	no	—
736	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
737	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
738	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
739	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
740	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
741	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
742	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
743	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
744	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
745	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
746	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
747	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
748	D₂₀	—	2	2	no	—
749	D₂₀	—	2	2	no	—
750	D₂₀	—	2	2	no	—
751	D₂₀	—	2	2	no	—
752	D₂₀	—	4	1	no	—
753	C₄×D₅	—	2	2	no	—
754	C₄×D₅	—	2	2	no	—
755	C₄×D₅	—	2	2	no	—
756	C₄×D₅	—	2	2	no	—
757	C₄×D₅	—	2	2	no	—
758	C₄×D₅	—	2	2	no	—
759	C₄×D₅	—	2	2	no	—
760	C₄×D₅	—	4	1	no	—
761	C₄×D₅	—	4	1	no	—
762	C₄×D₅	—	4	1	no	—
763	C₄×D₅	—	4	1	no	—
764	C₄×D₅	—	4	1	no	—
765	C₄×D₅	—	4	1	no	—
766	C₄×D₅	—	4	1	no	—
767	C₄×D₅	—	4	1	no	—
768	C₄×D₅	—	4	1	no	—
769	C₄×D₅	—	4	1	no	—
770	C₄×D₅	C₂×#41	1	4	yes	—
771	Dic₁₀	—	2	2	no	—
772	Dic₁₀	—	2	2	no	—
773	Dic₁₀	—	4	1	no	—
774	Dic₁₀	—	4	1	no	—
775	Dic₁₀	—	4	1	no	—
776	C₅×C₈	—	2	2	no	—
777	C₅×C₈	—	2	2	no	—
778	C₅×C₈	—	2	2	no	—
779	C₅×C₈	C₂×#41	1	4	yes	—
780	#168	—	2	2	no	—
781	#168	—	2	2	no	—
782	#168	—	2	2	no	—
783	#168	C₂×#41	1	4	yes	—
784	C₂×#41	—	5	1	no	—
785	C₂×#41	—	5	1	no	—
786	C₂×#41	—	5	1	no	—
787	C₂×#41	—	5	1	no	—
788	C₂×#41	—	5	1	no	—
789	C₂×#41	C₄×D₅	1	1	yes	characteristic
790	C₂³×C₄	—	5	1	no	—
791	C₂³×C₄	—	5	1	no	—
792	C₂³×C₄	—	5	1	no	—
793	#131	—	10	8	no	—
794	#131	—	10	8	no	—
795	C₂×M₁₆	—	5	2	no	—
796	C₂×M₁₆	—	5	2	no	—
797	C₂×M₁₆	—	5	2	no	—
798	C₂×M₁₆	—	5	2	no	—
799	C₂×M₁₆	—	5	2	no	—
800	C₂×M₁₆	C₂²×D₅	1	2	yes	—
801	C₂²×C₈	—	5	2	no	—
802	C₂²×C₈	—	5	2	no	—
803	C₂²×C₈	—	5	2	no	—
804	C₂²×C₈	—	5	2	no	—
805	C₂²×C₈	—	5	2	no	—
806	C₂²×C₈	—	5	2	no	—
807	C₂²×C₈	—	5	2	no	—
808	C₂²×C₈	—	5	2	no	—
809	C₂²×C₈	—	10	8	no	—
810	C₂²×C₈	C₂²×D₅	1	2	yes	—
811	C₂²×C₈	C₂²×D₅	1	2	yes	—
812	C₄⋊Q₈	—	5	1	no	—
813	C₄⋊Q₈	—	5	1	no	—
814	C₄⋊Q₈	—	5	1	no	—
815	#127	—	5	1	no	—
816	#126	—	5	1	no	—
817	#126	—	5	1	no	—
818	#126	—	5	1	no	—
819	#126	—	5	1	no	—
820	#126	—	5	1	no	—
821	#126	—	5	1	no	—
822	#126	—	5	1	no	—
823	#126	—	5	1	no	—
824	#125	—	5	1	no	—
825	#125	—	5	1	no	—
826	#125	—	5	1	no	—
827	#125	—	5	1	no	—
828	#125	—	5	1	no	—
829	#125	—	5	1	no	—
830	#124	—	5	1	no	—
831	#124	—	5	1	no	—
832	#124	—	5	1	no	—
833	#124	—	5	1	no	—
834	#124	—	5	1	no	—
835	#124	—	5	1	no	—
836	#123	—	5	1	no	—
837	#123	—	5	1	no	—
838	#123	—	5	1	no	—
839	#123	—	5	1	no	—
840	#123	—	5	1	no	—
841	#123	—	5	1	no	—
842	#123	—	5	1	no	—
843	#123	—	5	1	no	—
844	#123	—	5	1	no	—
845	#123	—	5	1	no	—
846	#123	—	5	1	no	—
847	#123	—	5	1	no	—
848	C₂²⋊Q₈	—	5	1	no	—
849	C₂²⋊Q₈	—	5	1	no	—
850	C₂²⋊Q₈	—	5	1	no	—
851	C₂²⋊Q₈	—	5	1	no	—
852	C₂²⋊Q₈	—	5	1	no	—
853	C₂²⋊Q₈	—	5	1	no	—
854	C₂²⋊Q₈	—	5	1	no	—
855	C₂²⋊Q₈	—	5	1	no	—
856	C₂²⋊Q₈	—	5	1	no	—
857	C₂²⋊Q₈	—	5	1	no	—
858	C₂²⋊Q₈	—	5	1	no	—
859	C₂²⋊Q₈	—	5	1	no	—
860	#121	—	5	1	no	—
861	#121	—	5	1	no	—
862	#121	—	5	1	no	—
863	#121	—	5	1	no	—
864	#121	—	5	1	no	—
865	#121	—	5	1	no	—
866	#121	—	5	1	no	—
867	#121	—	5	1	no	—
868	#121	—	5	1	no	—
869	#121	—	5	1	no	—
870	#121	—	5	1	no	—
871	#121	—	5	1	no	—
872	#120	—	5	1	no	—
873	#120	—	5	1	no	—
874	#120	—	5	1	no	—
875	#120	—	5	1	no	—
876	C₄×Q₈	—	5	1	no	—
877	C₄×Q₈	—	5	1	no	—
878	C₄×Q₈	—	5	1	no	—
879	C₄×Q₈	—	5	1	no	—
880	C₄×Q₈	—	5	1	no	—
881	C₄×Q₈	—	5	1	no	—
882	C₄×Q₈	—	5	1	no	—
883	C₄×Q₈	—	5	1	no	—
884	C₄×Q₈	—	5	1	no	—
885	C₄×Q₈	—	5	1	no	—
886	C₄×Q₈	C₄×D₅	1	1	yes	characteristic
887	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
888	C₄×D₄	—	5	1	no	—
889	C₄×D₄	—	5	1	no	—
890	C₄×D₄	—	5	1	no	—
891	C₄×D₄	—	5	1	no	—
892	C₄×D₄	—	5	1	no	—
893	C₄×D₄	—	5	1	no	—
894	C₄×D₄	—	5	1	no	—
895	C₄×D₄	—	5	1	no	—
896	C₄×D₄	—	5	1	no	—
897	C₄×D₄	—	5	1	no	—
898	C₄×D₄	—	5	1	no	—
899	C₄×D₄	—	5	1	no	—
900	C₄×D₄	—	5	1	no	—
901	C₄×D₄	—	5	1	no	—
902	C₄×D₄	—	5	1	no	—
903	C₄×D₄	—	5	1	no	—
904	C₄×D₄	—	5	1	no	—
905	C₄×D₄	—	5	1	no	—
906	C₄×D₄	—	5	1	no	—
907	C₄×D₄	—	5	1	no	—
908	C₄×D₄	—	5	1	no	—
909	C₄×D₄	—	5	1	no	—
910	C₄×D₄	—	5	1	no	—
911	C₄×D₄	—	5	1	no	—
912	C₄×D₄	—	5	1	no	—
913	C₄×D₄	—	5	1	no	—
914	C₄×D₄	—	5	1	no	—
915	C₄×D₄	—	5	1	no	—
916	C₄×D₄	—	5	1	no	—
917	C₄×D₄	—	5	1	no	—
918	C₄×D₄	C₄×D₅	1	1	yes	characteristic
919	C₄×D₄	C₄×D₅	1	1	yes	characteristic
920	C₄×D₄	C₄×D₅	1	1	yes	characteristic
921	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
922	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
923	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
924	#117	—	5	1	no	—
925	#117	—	5	1	no	—
926	#117	—	5	1	no	—
927	#117	—	5	1	no	—
928	#117	—	5	1	no	—
929	#117	—	5	1	no	—
930	#117	—	5	1	no	—
931	#117	—	5	1	no	—
932	#117	—	5	1	no	—
933	#117	—	5	1	no	—
934	#117	—	5	1	no	—
935	#117	—	5	1	no	—
936	#117	—	5	1	no	—
937	#117	—	5	1	no	—
938	#117	—	5	1	no	—
939	#117	C₄×D₅	1	1	yes	characteristic
940	#117	C₄×D₅	1	1	yes	characteristic
941	#117	C₄×D₅	1	1	yes	characteristic
942	C₂×C₄²	—	5	1	no	—
943	C₂×C₄²	—	5	1	no	—
944	C₂×C₄²	—	5	1	no	—
945	C₂×C₄²	—	5	1	no	—
946	C₂×C₄²	—	5	1	no	—
947	C₂×C₄²	—	5	1	no	—
948	C₂×C₄²	—	5	1	no	—
949	C₂×C₄²	—	5	1	no	—
950	C₂×C₄²	—	5	1	no	—
951	C₂×C₄²	—	5	1	no	—
952	C₂×C₄²	—	5	1	no	—
953	C₂×C₄²	—	5	1	no	—
954	C₂×C₄²	—	5	1	no	—
955	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
956	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
957	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
958	C₄⋊C₈	—	5	2	no	—
959	C₄⋊C₈	—	5	2	no	—
960	C₄⋊C₈	—	5	2	no	—
961	C₄⋊C₈	—	5	2	no	—
962	C₄⋊C₈	—	5	2	no	—
963	C₄⋊C₈	—	5	2	no	—
964	C₄⋊C₈	—	5	2	no	—
965	C₄⋊C₈	—	5	2	no	—
966	C₄⋊C₈	—	5	2	no	—
967	C₄⋊C₈	C₂²×D₅	1	2	yes	—
968	C₄⋊C₈	C₂²×D₅	1	2	yes	—
969	C₄⋊C₈	C₂²×D₅	1	2	yes	—
970	C₂²⋊C₈	—	5	2	no	—
971	C₂²⋊C₈	—	5	2	no	—
972	C₂²⋊C₈	—	5	2	no	—
973	C₂²⋊C₈	—	5	2	no	—
974	C₂²⋊C₈	—	5	2	no	—
975	C₂²⋊C₈	—	5	2	no	—
976	C₂²⋊C₈	—	5	2	no	—
977	C₂²⋊C₈	—	5	2	no	—
978	C₂²⋊C₈	—	5	2	no	—
979	C₂²⋊C₈	C₂²×D₅	1	2	yes	—
980	C₂²⋊C₈	C₂²×D₅	1	2	yes	—
981	C₂²⋊C₈	C₂²×D₅	1	2	yes	—
982	#97	—	5	2	no	—
983	#97	—	5	2	no	—
984	#97	—	5	2	no	—
985	#97	—	5	2	no	—
986	#97	—	5	2	no	—
987	#97	—	5	2	no	—
988	#97	—	5	1	no	—
989	#97	—	5	1	no	—
990	#97	—	5	2	no	—
991	#97	—	5	1	no	—
992	#97	—	5	1	no	—
993	#97	—	5	2	no	—
994	#97	C₂²×D₅	1	1	yes	characteristic
995	#97	C₂²×D₅	1	1	yes	characteristic
996	#97	C₂²×D₅	1	2	yes	—
997	#97	C₂²×D₅	1	1	yes	characteristic
998	#97	C₂²×D₅	1	1	yes	characteristic
999	#97	C₂²×D₅	1	2	yes	—
1000	C₄×C₈	—	5	2	no	—
1001	C₄×C₈	—	5	2	no	—
1002	C₄×C₈	—	5	2	no	—
1003	C₄×C₈	—	5	2	no	—
1004	C₄×C₈	—	5	2	no	—
1005	C₄×C₈	C₂²×D₅	1	2	yes	—
1006	C₂²×C₅	—	2	1	no	—
1007	C₂²×C₅	—	2	1	no	—
1008	C₂²×C₅	—	2	1	no	—
1009	C₂²×C₅	—	2	1	no	—
1010	C₂²×C₅	—	2	1	no	—
1011	C₂²×C₅	—	2	1	no	—
1012	C₂²×C₅	—	2	1	no	—
1013	C₂²×C₅	—	2	1	no	—
1014	C₂²×C₅	#568	1	2	yes	—
1015	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
1016	C₂×D₅	—	2	8	no	—
1017	C₂×D₅	—	2	1	no	—
1018	C₂×D₅	—	2	1	no	—
1019	C₂×D₅	—	2	1	no	—
1020	C₂×D₅	—	2	1	no	—
1021	C₂×D₅	—	2	1	no	—
1022	C₂×D₅	—	2	1	no	—
1023	C₂×D₅	—	2	1	no	—
1024	C₂×D₅	—	2	1	no	—
1025	C₂×D₅	—	2	1	no	—
1026	C₂×D₅	—	2	1	no	—
1027	C₂×D₅	C₄×#41	1	2	yes	—
1028	C₂×D₅	#568	1	2	yes	—
1029	C₄×C₅	—	2	1	no	—
1030	C₄×C₅	—	2	1	no	—
1031	C₄×C₅	—	2	1	no	—
1032	C₄×C₅	—	2	1	no	—
1033	C₄×C₅	—	2	1	no	—
1034	C₄×C₅	—	2	1	no	—
1035	C₄×C₅	—	2	1	no	—
1036	C₄×C₅	—	2	1	no	—
1037	C₄×C₅	—	2	1	no	—
1038	C₄×C₅	—	2	1	no	—
1039	C₄×C₅	—	2	1	no	—
1040	C₄×C₅	C₂²×#41	1	2	yes	—
1041	Dic₅	—	2	1	no	—
1042	Dic₅	—	2	1	no	—
1043	Dic₅	—	2	1	no	—
1044	Dic₅	—	2	1	no	—
1045	Dic₅	—	2	1	no	—
1046	Dic₅	—	2	1	no	—
1047	Dic₅	—	2	1	no	—
1048	Dic₅	—	2	1	no	—
1049	Dic₅	—	2	1	no	—
1050	Dic₅	—	2	1	no	—
1051	Dic₅	—	2	1	no	—
1052	Dic₅	C₄×#41	1	2	yes	—
1053	C₂⁴	—	5	1	no	—
1054	#41	—	4	2	no	—
1055	#41	—	10	4	no	—
1056	#41	—	10	4	no	—
1057	#41	—	20	2	no	—
1058	#41	—	20	2	no	—
1059	#41	—	20	2	no	—
1060	C₂×Q₈	—	5	1	no	—
1061	C₂×Q₈	—	5	1	no	—
1062	C₂×Q₈	—	5	1	no	—
1063	C₂×Q₈	—	5	1	no	—
1064	C₂×Q₈	—	5	1	no	—
1065	C₂×Q₈	C₂×C₄×D₅	1	1	yes	characteristic
1066	C₂×D₄	—	5	1	no	—
1067	C₂×D₄	—	5	1	no	—
1068	C₂×D₄	—	5	1	no	—
1069	C₂×D₄	—	5	1	no	—
1070	C₂×D₄	—	5	1	no	—
1071	C₂×D₄	—	5	1	no	—
1072	C₂×D₄	—	5	1	no	—
1073	C₂×D₄	—	5	1	no	—
1074	C₂×D₄	—	5	1	no	—
1075	C₂×D₄	—	5	1	no	—
1076	C₂×D₄	—	5	1	no	—
1077	C₂×D₄	—	5	1	no	—
1078	C₂×D₄	—	5	1	no	—
1079	C₂×D₄	—	5	1	no	—
1080	C₂×D₄	—	5	1	no	—
1081	C₂×D₄	C₂×C₄×D₅	1	1	yes	characteristic
1082	C₂×D₄	C₂×C₄×D₅	1	1	yes	characteristic
1083	C₂×D₄	C₂×C₄×D₅	1	1	yes	characteristic
1084	C₂²×C₄	—	5	1	no	—
1085	C₂²×C₄	—	5	1	no	—
1086	C₂²×C₄	—	5	1	no	—
1087	C₂²×C₄	—	5	1	no	—
1088	C₂²×C₄	—	5	1	no	—
1089	C₂²×C₄	—	5	1	no	—
1090	C₂²×C₄	—	5	1	no	—
1091	C₂²×C₄	—	5	1	no	—
1092	C₂²×C₄	—	5	1	no	—
1093	C₂²×C₄	—	5	1	no	—
1094	C₂²×C₄	—	5	1	no	—
1095	C₂²×C₄	—	5	1	no	—
1096	C₂²×C₄	—	5	1	no	—
1097	C₂²×C₄	—	5	1	no	—
1098	C₂²×C₄	—	5	1	no	—
1099	C₂²×C₄	—	5	1	no	—
1100	C₂²×C₄	—	5	1	no	—
1101	C₂²×C₄	—	5	1	no	—
1102	C₂²×C₄	—	5	1	no	—
1103	C₂²×C₄	—	5	1	no	—
1104	C₂²×C₄	—	5	1	no	—
1105	C₂²×C₄	—	10	4	no	—
1106	C₂²×C₄	—	20	2	no	—
1107	C₂²×C₄	—	20	2	no	—
1108	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
1109	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
1110	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
1111	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
1112	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
1113	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
1114	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1115	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1116	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1117	M₁₆	—	2	4	no	—
1118	M₁₆	—	10	4	no	—
1119	M₁₆	—	10	4	no	—
1120	M₁₆	—	10	4	no	—
1121	M₁₆	—	10	4	no	—
1122	M₁₆	—	10	4	no	—
1123	C₂×C₈	—	2	4	no	—
1124	C₂×C₈	—	2	4	no	—
1125	C₂×C₈	—	5	2	no	—
1126	C₂×C₈	—	5	8	no	—
1127	C₂×C₈	—	5	2	no	—
1128	C₂×C₈	—	5	2	no	—
1129	C₂×C₈	—	5	2	no	—
1130	C₂×C₈	—	10	4	no	—
1131	C₂×C₈	—	10	4	no	—
1132	C₂×C₈	—	10	4	no	—
1133	C₂×C₈	—	10	4	no	—
1134	C₂×C₈	—	10	4	no	—
1135	C₂×C₈	—	10	4	no	—
1136	C₂×C₈	—	10	4	no	—
1137	C₂×C₈	C₂³×D₅	1	2	yes	—
1138	C₂×C₈	C₂³×D₅	1	2	yes	—
1139	C₂×C₈	C₂³×D₅	1	2	yes	—
1140	C₂×C₈	C₂³×D₅	1	2	yes	—
1141	C₄⋊C₄	—	5	1	no	—
1142	C₄⋊C₄	—	5	1	no	—
1143	C₄⋊C₄	—	5	1	no	—
1144	C₄⋊C₄	—	5	1	no	—
1145	C₄⋊C₄	—	5	1	no	—
1146	C₄⋊C₄	—	5	1	no	—
1147	C₄⋊C₄	—	5	1	no	—
1148	C₄⋊C₄	—	5	1	no	—
1149	C₄⋊C₄	—	5	1	no	—
1150	C₄⋊C₄	—	5	1	no	—
1151	C₄⋊C₄	—	5	1	no	—
1152	C₄⋊C₄	—	5	1	no	—
1153	C₄⋊C₄	—	5	1	no	—
1154	C₄⋊C₄	—	5	1	no	—
1155	C₄⋊C₄	—	5	1	no	—
1156	C₄⋊C₄	—	5	1	no	—
1157	C₄⋊C₄	—	5	1	no	—
1158	C₄⋊C₄	—	5	1	no	—
1159	C₄⋊C₄	—	5	1	no	—
1160	C₄⋊C₄	—	5	1	no	—
1161	C₄⋊C₄	—	5	1	no	—
1162	C₄⋊C₄	—	5	1	no	—
1163	C₄⋊C₄	—	5	1	no	—
1164	C₄⋊C₄	—	5	1	no	—
1165	C₄⋊C₄	—	5	1	no	—
1166	C₄⋊C₄	—	5	1	no	—
1167	C₄⋊C₄	—	5	1	no	—
1168	C₄⋊C₄	—	5	1	no	—
1169	C₄⋊C₄	—	5	1	no	—
1170	C₄⋊C₄	—	5	1	no	—
1171	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1172	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1173	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1174	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1175	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1176	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1177	C₂²⋊C₄	—	5	1	no	—
1178	C₂²⋊C₄	—	5	1	no	—
1179	C₂²⋊C₄	—	5	1	no	—
1180	C₂²⋊C₄	—	5	1	no	—
1181	C₂²⋊C₄	—	5	1	no	—
1182	C₂²⋊C₄	—	5	1	no	—
1183	C₂²⋊C₄	—	5	1	no	—
1184	C₂²⋊C₄	—	5	1	no	—
1185	C₂²⋊C₄	—	5	1	no	—
1186	C₂²⋊C₄	—	5	1	no	—
1187	C₂²⋊C₄	—	5	1	no	—
1188	C₂²⋊C₄	—	5	1	no	—
1189	C₂²⋊C₄	—	5	1	no	—
1190	C₂²⋊C₄	—	5	1	no	—
1191	C₂²⋊C₄	—	5	1	no	—
1192	C₂²⋊C₄	—	5	1	no	—
1193	C₂²⋊C₄	—	5	1	no	—
1194	C₂²⋊C₄	—	5	1	no	—
1195	C₂²⋊C₄	—	5	1	no	—
1196	C₂²⋊C₄	—	5	1	no	—
1197	C₂²⋊C₄	—	5	1	no	—
1198	C₂²⋊C₄	—	5	1	no	—
1199	C₂²⋊C₄	—	5	1	no	—
1200	C₂²⋊C₄	—	5	1	no	—
1201	C₂²⋊C₄	—	5	1	no	—
1202	C₂²⋊C₄	—	5	1	no	—
1203	C₂²⋊C₄	—	5	1	no	—
1204	C₂²⋊C₄	—	5	1	no	—
1205	C₂²⋊C₄	—	5	1	no	—
1206	C₂²⋊C₄	—	5	1	no	—
1207	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1208	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1209	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1210	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1211	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1212	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1213	C₄²	—	5	1	no	—
1214	C₄²	—	5	1	no	—
1215	C₄²	—	5	1	no	—
1216	C₄²	—	5	1	no	—
1217	C₄²	—	5	1	no	—
1218	C₄²	—	5	1	no	—
1219	C₄²	—	5	1	no	—
1220	C₄²	—	5	1	no	—
1221	C₄²	—	5	1	no	—
1222	C₄²	—	5	1	no	—
1223	C₄²	—	5	1	no	—
1224	C₄²	—	5	1	no	—
1225	C₄²	—	5	1	no	—
1226	C₄²	—	5	1	no	—
1227	C₄²	—	5	1	no	—
1228	C₄²	—	5	1	no	—
1229	C₄²	—	5	1	no	—
1230	C₄²	—	5	1	no	—
1231	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
1232	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
1233	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
1234	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
1235	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
1236	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
1237	C₄²	C₂³×D₅	1	1	yes	characteristic
1238	C₄²	C₂³×D₅	1	1	yes	characteristic
1239	C₄²	C₂³×D₅	1	1	yes	characteristic
1240	C₄²	C₂³×D₅	1	1	yes	characteristic
1241	C₂×C₅	—	2	2	no	—
1242	C₂×C₅	—	4	1	no	—
1243	C₂×C₅	—	4	1	no	—
1244	C₂×C₅	C₂×C₄×#41	1	1	yes	characteristic
1245	C₂×C₅	C₂×#568	1	1	yes	characteristic
1246	C₂×C₅	C₂×#568	1	1	yes	characteristic
1247	D₅	—	2	2	no	—
1248	D₅	—	2	2	no	—
1249	D₅	—	4	1	no	—
1250	D₅	—	4	1	no	—
1251	C₂³	—	5	1	no	—
1252	C₂³	—	5	1	no	—
1253	C₂³	—	5	1	no	—
1254	C₂³	—	5	1	no	—
1255	C₂³	—	10	2	no	—
1256	C₂³	—	10	2	no	—
1257	C₂³	—	10	2	no	—
1258	C₂³	C₂²×C₄×D₅	1	1	yes	characteristic
1259	C₂³	C₂²×C₄×D₅	1	1	yes	characteristic
1260	C₂³	C₂²×C₄×D₅	1	1	yes	characteristic
1261	Q₈	—	4	1	no	—
1262	Q₈	—	10	2	no	—
1263	Q₈	—	10	2	no	—
1264	Q₈	—	20	1	no	—
1265	Q₈	—	20	1	no	—
1266	Q₈	—	20	1	no	—
1267	D₄	—	2	2	no	—
1268	D₄	—	2	2	no	—
1269	D₄	—	4	1	no	—
1270	D₄	—	10	2	no	—
1271	D₄	—	10	2	no	—
1272	D₄	—	10	2	no	—
1273	D₄	—	10	2	no	—
1274	D₄	—	10	2	no	—
1275	D₄	—	10	2	no	—
1276	D₄	—	10	2	no	—
1277	D₄	—	10	2	no	—
1278	D₄	—	10	2	no	—
1279	D₄	—	10	2	no	—
1280	D₄	—	10	2	no	—
1281	D₄	—	10	2	no	—
1282	D₄	—	20	1	no	—
1283	D₄	—	20	1	no	—
1284	D₄	—	20	1	no	—
1285	C₂×C₄	—	2	2	no	—
1286	C₂×C₄	—	2	2	no	—
1287	C₂×C₄	—	2	2	no	—
1288	C₂×C₄	—	2	2	no	—
1289	C₂×C₄	—	4	1	no	—
1290	C₂×C₄	—	4	1	no	—
1291	C₂×C₄	—	4	1	no	—
1292	C₂×C₄	—	4	1	no	—
1293	C₂×C₄	—	4	1	no	—
1294	C₂×C₄	—	5	1	no	—
1295	C₂×C₄	—	5	4	no	—
1296	C₂×C₄	—	5	1	no	—
1297	C₂×C₄	—	5	1	no	—
1298	C₂×C₄	—	5	1	no	—
1299	C₂×C₄	—	5	1	no	—
1300	C₂×C₄	—	5	1	no	—
1301	C₂×C₄	—	5	1	no	—
1302	C₂×C₄	—	5	1	no	—
1303	C₂×C₄	—	5	1	no	—
1304	C₂×C₄	—	5	1	no	—
1305	C₂×C₄	—	5	1	no	—
1306	C₂×C₄	—	5	1	no	—
1307	C₂×C₄	—	10	2	no	—
1308	C₂×C₄	—	10	2	no	—
1309	C₂×C₄	—	10	2	no	—
1310	C₂×C₄	—	10	2	no	—
1311	C₂×C₄	—	10	2	no	—
1312	C₂×C₄	—	10	2	no	—
1313	C₂×C₄	—	10	2	no	—
1314	C₂×C₄	—	10	2	no	—
1315	C₂×C₄	—	10	2	no	—
1316	C₂×C₄	—	20	1	no	—
1317	C₂×C₄	—	20	1	no	—
1318	C₂×C₄	—	20	1	no	—
1319	C₂×C₄	—	20	1	no	—
1320	C₂×C₄	—	20	1	no	—
1321	C₂×C₄	—	20	1	no	—
1322	C₂×C₄	—	20	1	no	—
1323	C₂×C₄	—	20	1	no	—
1324	C₂×C₄	—	20	1	no	—
1325	C₂×C₄	—	20	1	no	—
1326	C₂×C₄	—	20	1	no	—
1327	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1328	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1329	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1330	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1331	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1332	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1333	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1334	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1335	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1336	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1337	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1338	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1339	C₈	—	2	2	no	—
1340	C₈	—	2	2	no	—
1341	C₈	—	2	2	no	—
1342	C₈	—	5	4	no	—
1343	C₈	—	10	2	no	—
1344	C₈	—	10	2	no	—
1345	C₈	—	10	2	no	—
1346	C₈	D₅×#41	1	4	yes	—
1347	C₅	#60207	1	1	yes	characteristic, complemented, Sylow
1348	C₂²	—	2	1	no	—
1349	C₂²	—	2	1	no	—
1350	C₂²	—	2	1	no	—
1351	C₂²	—	2	1	no	—
1352	C₂²	—	2	1	no	—
1353	C₂²	—	2	1	no	—
1354	C₂²	—	2	1	no	—
1355	C₂²	—	2	1	no	—
1356	C₂²	—	5	2	no	—
1357	C₂²	—	5	2	no	—
1358	C₂²	—	10	8	no	—
1359	C₂²	—	10	1	no	—
1360	C₂²	—	10	1	no	—
1361	C₂²	—	10	1	no	—
1362	C₂²	—	10	1	no	—
1363	C₂²	—	10	1	no	—
1364	C₂²	—	10	1	no	—
1365	C₂²	—	10	1	no	—
1366	C₂²	—	10	1	no	—
1367	C₂²	—	10	1	no	—
1368	C₂²	—	10	1	no	—
1369	C₂²	#66079	1	2	yes	—
1370	C₂²	C₂³×C₄×D₅	1	1	yes	characteristic
1371	C₄	—	2	1	no	—
1372	C₄	—	2	1	no	—
1373	C₄	—	2	1	no	—
1374	C₄	—	2	1	no	—
1375	C₄	—	2	1	no	—
1376	C₄	—	2	1	no	—
1377	C₄	—	2	1	no	—
1378	C₄	—	2	1	no	—
1379	C₄	—	2	1	no	—
1380	C₄	—	2	1	no	—
1381	C₄	—	2	1	no	—
1382	C₄	—	5	2	no	—
1383	C₄	—	10	1	no	—
1384	C₄	—	10	1	no	—
1385	C₄	—	10	1	no	—
1386	C₄	—	10	1	no	—
1387	C₄	—	10	1	no	—
1388	C₄	—	10	1	no	—
1389	C₄	—	10	1	no	—
1390	C₄	—	10	1	no	—
1391	C₄	—	10	1	no	—
1392	C₄	—	10	1	no	—
1393	C₄	—	10	1	no	—
1394	C₄	C₂×D₅×#41	1	2	yes	—
1395	C₂	—	2	2	no	—
1396	C₂	—	4	1	no	—
1397	C₂	—	4	1	no	—
1398	C₂	—	10	2	no	—
1399	C₂	—	10	2	no	—
1400	C₂	—	20	1	no	—
1401	C₂	—	20	1	no	—
1402	C₂	C₄×D₅×#41	1	1	yes	characteristic
1403	C₂	C₂×#66079	1	1	yes	characteristic
1404	C₂	D₅×#568	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₅
commutator, socle	C₂²×C₅	C₂⁴×C₄
Fitting	C₅×#2970	C₂
prime radical	#10617737	C₂
cosocle	C₂×C₄×C₅	C₂⁵
hypercenter	#2970	D₅
hypocenter	C₅	#60207
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₄ ◁ #2970

Complements

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

N	H ≅ G/N	type
2. C₅×#2970	C₂	semidirect
3. #10614249	C₂	semidirect
4. #10611690	C₂	semidirect
5. #10611672	C₂	semidirect
6. #10611211	C₂	semidirect
7. #10611209	C₂	semidirect
8. #10611189	C₂	semidirect
9. #10611188	C₂	semidirect
10. #10611152	C₂	semidirect
11. #10611133	C₂	semidirect
12. #10611063	C₂	semidirect
13. #10611063	C₂	semidirect
14. #10611062	C₂	semidirect
15. #10611059	C₂	semidirect
16. #10611058	C₂	semidirect
17. #10611058	C₂	semidirect
18. #10610255	C₂	semidirect
19. #10610247	C₂	semidirect
20. #10610217	C₂	semidirect
21. C₂×D₅×#97	C₂	semidirect
22. #10610213	C₂	semidirect
23. #10610213	C₂	semidirect
58. C₅×#446	C₂²	semidirect
60. C₅×#435	C₂²	semidirect
63. C₅×#432	C₂²	semidirect
64. C₅×#432	C₂²	semidirect
65. C₄×C₅×M₁₆	C₂²	semidirect
67. C₂×C₅×#97	C₂²	semidirect
69. #65416	C₂²	semidirect
70. #65411	C₂²	semidirect
72. #65400	C₂²	semidirect
75. #65390	C₂²	semidirect
77. #65313	C₂²	semidirect
79. #65300	C₂²	semidirect
82. #65215	C₂²	semidirect
83. #65215	C₂²	semidirect
84. C₄×#681	C₂²	semidirect
86. C₂×#3935	C₂²	semidirect
87. #65129	C₂²	semidirect
88. #65129	C₂²	semidirect
93. #65125	C₂²	semidirect
96. #65120	C₂²	semidirect
97. #65117	C₂²	semidirect
98. #65117	C₂²	semidirect
100. #65019	C₂²	semidirect
102. #65017	C₂²	semidirect
108. #65009	C₂²	semidirect
109. #65009	C₂²	semidirect
112. #64997	C₂²	semidirect
115. #64996	C₂²	semidirect
116. #64996	C₂²	semidirect
118. #64995	C₂²	semidirect
121. #64994	C₂²	semidirect
122. #64994	C₂²	semidirect
123. #64994	C₂²	semidirect
124. #64994	C₂²	semidirect
131. D₅×#97	C₂²	semidirect
132. D₅×#97	C₂²	semidirect
133. #64990	C₂²	semidirect
134. #64990	C₂²	semidirect
136. #64978	C₂²	semidirect
138. #64968	C₂²	semidirect
370. #2970	D₅	semidirect
572. C₈×D₅	#41	semidirect
614. #446	C₂×D₅	semidirect
630. #435	C₂×D₅	semidirect
653. #432	C₂×D₅	semidirect
654. #432	C₂×D₅	semidirect
674. C₄×M₁₆	C₂×D₅	semidirect
687. C₂×#97	C₂×D₅	semidirect
1347. C₅	#60207	semidirect

Maximal subgroups

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

subgroup	index
#10617737	2
C₅×#2970	2
#10614249	2
#10611690	2
#10611672	2
#10611211	2
#10611209	2
#10611189	2
#10611188	2
#10611152	2
#10611133	2
#10611063	2
#10611062	2
#10611059	2
#10611058	2
#10610255	2
#10610247	2
#10610217	2
C₂×D₅×#97	2
#10610213	2
#60207	5