Subgroups — #12964217

Order 1280.

2136 conjugacy classes of subgroups.

The subgroup lattice has 1954 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618139	C₂	1	1	yes	maximal, characteristic
2	C₅×#2981	C₂	1	1	yes	maximal, characteristic, complemented
3	#10615010	C₂	1	1	yes	maximal, characteristic, complemented
4	#10611276	C₂	1	1	yes	maximal, characteristic, complemented
5	#10611275	C₂	1	1	yes	maximal, characteristic, complemented
6	#10611270	C₂	1	1	yes	maximal, characteristic, complemented
7	#10611268	C₂	1	1	yes	maximal, characteristic, complemented
8	#10611223	C₂	1	1	yes	maximal, characteristic, complemented
9	#10611222	C₂	1	1	yes	maximal, characteristic, complemented
10	#10611217	C₂	1	1	yes	maximal, characteristic, complemented
11	#10611216	C₂	1	1	yes	maximal, characteristic, complemented
12	#10611215	C₂	1	1	yes	maximal, characteristic, complemented
13	#10611214	C₂	1	1	yes	maximal, characteristic, complemented
14	#10611211	C₂	1	1	yes	maximal, characteristic, complemented
15	D₅×#435	C₂	1	1	yes	maximal, characteristic, complemented
16	#10611160	C₂	1	1	yes	maximal, characteristic, complemented
17	#10611159	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611154	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611152	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611066	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611063	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611018	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611016	C₂	1	1	yes	maximal, characteristic, complemented
24	#10610397	C₂	1	1	yes	maximal, characteristic, complemented
25	#10610396	C₂	1	1	yes	maximal, characteristic, complemented
26	#10610395	C₂	1	1	yes	maximal, characteristic, complemented
27	#10610395	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610394	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610394	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610393	C₂	1	1	yes	maximal, characteristic, complemented
31	D₅×#408	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₅×#41	C₂²	1	1	yes	characteristic
33	C₂×D₅×#41	C₂²	1	1	yes	characteristic
34	C₅×#532	C₂²	1	1	yes	characteristic
35	#66162	C₂²	1	1	yes	characteristic
36	#66162	C₂²	1	1	yes	characteristic
37	C₂×#4053	C₂²	1	1	yes	characteristic, complemented
38	C₂×#4053	C₂²	1	1	yes	characteristic, complemented
39	C₂×D₅×M₁₆	C₂²	1	1	yes	characteristic, complemented
40	C₂×D₅×M₁₆	C₂²	1	1	yes	characteristic, complemented
41	C₂×#4047	C₂²	1	1	yes	characteristic, complemented
42	C₂×#4047	C₂²	1	1	yes	characteristic, complemented
43	C₂²×#676	C₂²	1	1	yes	characteristic, complemented
44	C₂²×C₈×D₅	C₂²	1	1	yes	characteristic, complemented
45	#66061	C₄	1	1	yes	characteristic
46	#66060	C₄	1	1	yes	characteristic
47	#66052	C₄	1	1	yes	characteristic
48	#66051	C₄	1	1	yes	characteristic
49	#66011	C₄	1	1	yes	characteristic
50	#66011	C₄	1	1	yes	characteristic
51	#66010	C₄	1	1	yes	characteristic
52	#66010	C₄	1	1	yes	characteristic
53	#65945	C₄	1	1	yes	characteristic
54	#65945	C₄	1	1	yes	characteristic
55	#65944	C₄	1	1	yes	characteristic
56	#65944	C₄	1	1	yes	characteristic
57	#65944	C₄	1	1	yes	characteristic
58	#65944	C₄	1	1	yes	characteristic
59	#65943	C₄	1	1	yes	characteristic
60	#65943	C₄	1	1	yes	characteristic
61	#65882	C₂²	1	1	yes	characteristic
62	#65882	C₂²	1	1	yes	characteristic
63	#65881	C₂²	1	1	yes	characteristic
64	#65881	C₂²	1	1	yes	characteristic
65	#65881	C₂²	1	1	yes	characteristic
66	#65881	C₂²	1	1	yes	characteristic
67	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
68	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
69	C₄×#709	C₂²	1	1	yes	characteristic
70	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic
71	C₅×#436	C₂²	1	1	yes	characteristic, complemented
72	C₅×#436	C₂²	1	1	yes	characteristic, complemented
73	C₅×#435	C₂²	1	1	yes	characteristic, complemented
74	C₅×#435	C₂²	1	1	yes	characteristic, complemented
75	C₅×#435	C₂²	1	1	yes	characteristic, complemented
76	C₅×#435	C₂²	1	1	yes	characteristic, complemented
77	C₅×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
78	C₅×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
79	C₅×#432	C₂²	1	1	yes	characteristic, complemented
80	C₅×#431	C₂²	1	1	yes	characteristic, complemented
81	C₅×#408	C₂²	1	1	yes	characteristic, complemented
82	C₅×#408	C₂²	1	1	yes	characteristic, complemented
83	C₅×#408	C₂²	1	1	yes	characteristic, complemented
84	C₅×#408	C₂²	1	1	yes	characteristic, complemented
85	#65523	C₂²	1	1	yes	characteristic, complemented
86	#65523	C₂²	1	1	yes	characteristic, complemented
87	#65523	C₂²	1	1	yes	characteristic, complemented
88	#65523	C₂²	1	1	yes	characteristic, complemented
89	#65418	C₂²	1	1	yes	characteristic, complemented
90	#65418	C₂²	1	1	yes	characteristic, complemented
91	#65417	C₂²	1	1	yes	characteristic, complemented
92	#65417	C₂²	1	1	yes	characteristic, complemented
93	#65417	C₂²	1	1	yes	characteristic, complemented
94	#65417	C₂²	1	1	yes	characteristic, complemented
95	#65416	C₂²	1	1	yes	characteristic, complemented
96	#65416	C₂²	1	1	yes	characteristic, complemented
97	#65416	C₂²	1	1	yes	characteristic, complemented
98	#65416	C₂²	1	1	yes	characteristic, complemented
99	#65415	C₂²	1	1	yes	characteristic, complemented
100	#65415	C₂²	1	1	yes	characteristic, complemented
101	#65400	C₂²	1	1	yes	characteristic, complemented
102	#65400	C₂²	1	1	yes	characteristic, complemented
103	#65400	C₂²	1	1	yes	characteristic, complemented
104	#65400	C₂²	1	1	yes	characteristic, complemented
105	#65399	C₂²	1	1	yes	characteristic, complemented
106	#65399	C₂²	1	1	yes	characteristic, complemented
107	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
108	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
109	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
110	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
111	C₂×#3952	C₂²	1	1	yes	characteristic, complemented
112	C₂×#3952	C₂²	1	1	yes	characteristic, complemented
113	#65300	C₂²	1	1	yes	characteristic, complemented
114	#65300	C₂²	1	1	yes	characteristic, complemented
115	#65300	C₂²	1	1	yes	characteristic, complemented
116	#65300	C₂²	1	1	yes	characteristic, complemented
117	#65300	C₂²	1	1	yes	characteristic, complemented
118	#65300	C₂²	1	1	yes	characteristic, complemented
119	#65300	C₂²	1	1	yes	characteristic, complemented
120	#65300	C₂²	1	1	yes	characteristic, complemented
121	#65215	C₂²	1	1	yes	characteristic, complemented
122	#65215	C₂²	1	1	yes	characteristic, complemented
123	#65129	C₂²	1	1	yes	characteristic, complemented
124	#65129	C₂²	1	1	yes	characteristic, complemented
125	#65128	C₂²	1	1	yes	characteristic, complemented
126	#65128	C₂²	1	1	yes	characteristic, complemented
127	#65126	C₂²	1	1	yes	characteristic, complemented
128	#65125	C₂²	1	1	yes	characteristic
129	#65125	C₂²	1	1	yes	characteristic
130	#65125	C₂²	1	1	yes	characteristic, complemented
131	#65125	C₂²	1	1	yes	characteristic, complemented
132	#65125	C₂²	1	1	yes	characteristic, complemented
133	#65125	C₂²	1	1	yes	characteristic, complemented
134	#65125	C₂²	1	1	yes	characteristic, complemented
135	#65125	C₂²	1	1	yes	characteristic, complemented
136	#65124	C₂²	1	1	yes	characteristic, complemented
137	#65122	C₂²	1	1	yes	characteristic, complemented
138	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
139	#65019	C₂²	1	1	yes	characteristic, complemented
140	#65019	C₂²	1	1	yes	characteristic, complemented
141	#65019	C₂²	1	1	yes	characteristic, complemented
142	#65019	C₂²	1	1	yes	characteristic, complemented
143	#65018	C₂²	1	1	yes	characteristic, complemented
144	#65018	C₂²	1	1	yes	characteristic, complemented
145	#65018	C₂²	1	1	yes	characteristic, complemented
146	#65018	C₂²	1	1	yes	characteristic, complemented
147	#65017	C₂²	1	1	yes	characteristic, complemented
148	#65017	C₂²	1	1	yes	characteristic, complemented
149	#65017	C₂²	1	1	yes	characteristic, complemented
150	#65017	C₂²	1	1	yes	characteristic, complemented
151	#65016	C₂²	1	1	yes	characteristic
152	#65016	C₂²	1	1	yes	characteristic
153	#65016	C₂²	1	1	yes	characteristic
154	#65016	C₂²	1	1	yes	characteristic
155	#65016	C₂²	1	1	yes	characteristic, complemented
156	#65016	C₂²	1	1	yes	characteristic, complemented
157	#65016	C₂²	1	1	yes	characteristic, complemented
158	#65016	C₂²	1	1	yes	characteristic, complemented
159	#65016	C₂²	1	1	yes	characteristic, complemented
160	#65016	C₂²	1	1	yes	characteristic, complemented
161	#65016	C₂²	1	1	yes	characteristic, complemented
162	#65016	C₂²	1	1	yes	characteristic, complemented
163	#65015	C₂²	1	1	yes	characteristic, complemented
164	#65015	C₂²	1	1	yes	characteristic, complemented
165	#65015	C₂²	1	1	yes	characteristic, complemented
166	#65015	C₂²	1	1	yes	characteristic, complemented
167	#65015	C₂²	1	1	yes	characteristic, complemented
168	#65015	C₂²	1	1	yes	characteristic, complemented
169	#65015	C₂²	1	1	yes	characteristic, complemented
170	#65015	C₂²	1	1	yes	characteristic, complemented
171	#65014	C₂²	1	1	yes	characteristic, complemented
172	#65014	C₂²	1	1	yes	characteristic, complemented
173	#65014	C₂²	1	1	yes	characteristic, complemented
174	#65014	C₂²	1	1	yes	characteristic, complemented
175	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
176	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
177	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
178	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
179	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
180	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
181	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
182	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
183	#65009	C₂²	1	1	yes	characteristic, complemented
184	#65009	C₂²	1	1	yes	characteristic, complemented
185	#65009	C₂²	1	1	yes	characteristic, complemented
186	#65009	C₂²	1	1	yes	characteristic, complemented
187	#64996	C₂²	1	1	yes	characteristic, complemented
188	#64995	C₂²	1	1	yes	characteristic
189	#64995	C₂²	1	1	yes	characteristic
190	#64995	C₂²	1	1	yes	characteristic, complemented
191	#64995	C₂²	1	1	yes	characteristic, complemented
192	#64994	C₂²	1	1	yes	characteristic, complemented
193	#64994	C₂²	1	1	yes	characteristic, complemented
194	D₅×#97	C₂²	1	1	yes	characteristic, complemented
195	#64979	C₂²	1	1	yes	characteristic, complemented
196	#64979	C₂²	1	1	yes	characteristic, complemented
197	#64978	C₂²	1	1	yes	characteristic, complemented
198	#64978	C₂²	1	1	yes	characteristic, complemented
199	#64977	C₂²	1	1	yes	characteristic, complemented
200	#64977	C₂²	1	1	yes	characteristic, complemented
201	C₈×D₂₀	C₂²	1	1	yes	characteristic, complemented
202	C₈×D₂₀	C₂²	1	1	yes	characteristic, complemented
203	#60240	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂×C₅×#41	C₂³	1	1	yes	characteristic
206	D₅×#41	—	4	2	no	—
207	D₅×#41	—	4	2	no	—
208	D₅×#41	—	4	2	no	—
209	D₅×#41	—	4	2	no	—
210	C₂×#713	C₂×C₄	1	1	yes	characteristic
211	C₂×#713	C₂×C₄	1	1	yes	characteristic
212	C₂×Q₈×D₅	C₂×C₄	1	1	yes	characteristic
213	C₂×Q₈×D₅	C₂×C₄	1	1	yes	characteristic
214	C₂×#711	C₂×C₄	1	1	yes	characteristic
215	C₂×#711	C₂×C₄	1	1	yes	characteristic
216	C₂×#711	C₂×C₄	1	1	yes	characteristic
217	C₂×#711	C₂×C₄	1	1	yes	characteristic
218	C₂×#711	C₂×C₄	1	1	yes	characteristic
219	C₂×#711	C₂×C₄	1	1	yes	characteristic
220	C₂×D₄×D₅	C₂×C₄	1	1	yes	characteristic
221	C₂×D₄×D₅	C₂×C₄	1	1	yes	characteristic
222	C₂×D₄×D₅	C₂×C₄	1	1	yes	characteristic
223	C₂×D₄×D₅	C₂×C₄	1	1	yes	characteristic
224	C₂×D₄×D₅	C₂×C₄	1	1	yes	characteristic
225	C₂×D₄×D₅	C₂×C₄	1	1	yes	characteristic
226	C₂×D₄×D₅	C₂×C₄	1	1	yes	characteristic
227	C₂×D₄×D₅	C₂×C₄	1	1	yes	characteristic
228	C₂×#709	C₂³	1	1	yes	characteristic
229	C₂×#709	C₂³	1	1	yes	characteristic
230	C₂×#709	C₂³	1	1	yes	characteristic
231	C₂×#709	C₂³	1	1	yes	characteristic
232	C₂×#709	C₂³	1	1	yes	characteristic
233	C₂²×D₂₀	C₂×C₄	1	1	yes	characteristic
234	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
235	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
236	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
237	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
238	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
239	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
240	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
244	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
245	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
246	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
247	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
248	C₅×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
249	C₅×#127	C₂×C₄	1	1	yes	characteristic
250	C₅×#124	C₂×C₄	1	1	yes	characteristic
251	C₅×#124	C₂×C₄	1	1	yes	characteristic
252	C₅×#121	C₂×C₄	1	1	yes	characteristic
253	C₅×#121	C₂×C₄	1	1	yes	characteristic
254	C₅×#121	C₂×C₄	1	1	yes	characteristic
255	C₅×#121	C₂×C₄	1	1	yes	characteristic
256	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
257	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
258	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
259	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
260	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
261	#4092	C₂×C₄	1	1	yes	characteristic
262	#4092	C₂×C₄	1	1	yes	characteristic
263	#4092	C₂×C₄	1	1	yes	characteristic
264	#4092	C₂×C₄	1	1	yes	characteristic
265	#4086	C₂×C₄	1	1	yes	characteristic
266	#4086	C₂×C₄	1	1	yes	characteristic
267	#4085	C₂×C₄	1	1	yes	characteristic
268	#4085	C₂×C₄	1	1	yes	characteristic
269	#4085	C₂×C₄	1	1	yes	characteristic
270	#4085	C₂×C₄	1	1	yes	characteristic
271	#4084	C₂×C₄	1	1	yes	characteristic
272	#4084	C₂×C₄	1	1	yes	characteristic
273	#4084	C₂×C₄	1	1	yes	characteristic
274	#4084	C₂×C₄	1	1	yes	characteristic
275	#4084	C₂×C₄	1	1	yes	characteristic
276	#4084	C₂×C₄	1	1	yes	characteristic
277	#4083	C₂×C₄	1	1	yes	characteristic
278	#4083	C₂×C₄	1	1	yes	characteristic
279	#4083	C₂×C₄	1	1	yes	characteristic
280	#4083	C₂×C₄	1	1	yes	characteristic
281	#4083	C₂×C₄	1	1	yes	characteristic
282	#4083	C₂×C₄	1	1	yes	characteristic
283	#4083	C₂×C₄	1	1	yes	characteristic
284	#4083	C₂×C₄	1	1	yes	characteristic
285	#4081	C₂×C₄	1	1	yes	characteristic
286	#4081	C₂×C₄	1	1	yes	characteristic
287	#4081	C₂×C₄	1	1	yes	characteristic
288	#4081	C₂×C₄	1	1	yes	characteristic
289	D₄×Dic₅	C₂×C₄	1	1	yes	characteristic
290	D₄×Dic₅	C₂×C₄	1	1	yes	characteristic
291	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
292	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
293	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
294	C₄×C₂²⋊D₅	C₂×C₄	1	1	yes	characteristic
295	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
296	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
297	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
298	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
299	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
300	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
301	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
302	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
303	C₂×#685	C₂×C₄	1	1	yes	characteristic
304	C₂×#685	C₂×C₄	1	1	yes	characteristic
305	#4072	C₂³	1	1	yes	characteristic
306	C₂×C₄⋊Dic₅	C₂×C₄	1	1	yes	characteristic
307	C₂×#681	C₂³	1	1	yes	characteristic
308	C₂×#681	C₂³	1	1	yes	characteristic
309	C₂×#681	C₂³	1	1	yes	characteristic
310	C₂×#681	C₂³	1	1	yes	characteristic
311	C₂²×#168	C₂³	1	1	yes	characteristic
312	C₂²×#168	C₂³	1	1	yes	characteristic
313	C₂²×#168	C₂³	1	1	yes	characteristic
314	C₂²×#168	C₂³	1	1	yes	characteristic
315	#4053	—	4	2	no	—
316	#4053	—	4	2	no	—
317	D₅×M₁₆	—	4	2	no	—
318	D₅×M₁₆	—	4	2	no	—
319	#4047	—	4	2	no	—
320	#4047	—	4	2	no	—
321	C₂×#676	—	4	2	no	—
322	C₂×#676	C₂³	1	1	yes	characteristic
323	C₂×#676	C₂³	1	1	yes	characteristic
324	C₂×#676	C₂³	1	1	yes	characteristic
325	C₂×#676	C₂³	1	1	yes	characteristic
326	C₂×#676	C₂³	1	1	yes	characteristic
327	C₂×#676	C₂³	1	1	yes	characteristic
328	C₂×#676	C₂³	1	1	yes	characteristic
329	C₂×#676	C₂³	1	1	yes	characteristic
330	C₂×#676	C₂³	1	1	yes	characteristic
331	C₂×#676	C₂³	1	1	yes	characteristic
332	C₂×#676	C₂³	1	1	yes	characteristic
333	C₂×#676	C₂³	1	1	yes	characteristic
334	C₂×C₈×D₅	—	4	2	no	—
335	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
336	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
337	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
338	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
339	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
340	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
341	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
342	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
343	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
344	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
345	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
346	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
347	#4042	C₂×C₄	1	1	yes	characteristic
348	#4042	C₂×C₄	1	1	yes	characteristic
349	#4042	C₂×C₄	1	1	yes	characteristic
350	#4042	C₂×C₄	1	1	yes	characteristic
351	#4041	C₂×C₄	1	1	yes	characteristic
352	#4041	C₂×C₄	1	1	yes	characteristic
353	#4040	C₂×C₄	1	1	yes	characteristic
354	#4040	C₂×C₄	1	1	yes	characteristic
355	#4040	C₂×C₄	1	1	yes	characteristic
356	#4040	C₂×C₄	1	1	yes	characteristic
357	#4039	C₂×C₄	1	1	yes	characteristic
358	#4039	C₂×C₄	1	1	yes	characteristic
359	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
360	D₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
361	#4034	C₂×C₄	1	1	yes	characteristic
362	#4034	C₂×C₄	1	1	yes	characteristic
363	#4031	C₂×C₄	1	1	yes	characteristic
364	#4031	C₂×C₄	1	1	yes	characteristic
365	#4031	C₂×C₄	1	1	yes	characteristic
366	#4031	C₂×C₄	1	1	yes	characteristic
367	#4030	C₂×C₄	1	1	yes	characteristic
368	#4030	C₂×C₄	1	1	yes	characteristic
369	#4030	C₂×C₄	1	1	yes	characteristic
370	#4030	C₂×C₄	1	1	yes	characteristic
371	#4030	C₂×C₄	1	1	yes	characteristic
372	#4030	C₂×C₄	1	1	yes	characteristic
373	#4030	C₂×C₄	1	1	yes	characteristic
374	#4030	C₂×C₄	1	1	yes	characteristic
375	#4029	C₂×C₄	1	1	yes	characteristic
376	#4029	C₂×C₄	1	1	yes	characteristic
377	#4029	C₂×C₄	1	1	yes	characteristic
378	#4029	C₂×C₄	1	1	yes	characteristic
379	#4028	C₂×C₄	1	1	yes	characteristic
380	#4028	C₂×C₄	1	1	yes	characteristic
381	#4028	C₂×C₄	1	1	yes	characteristic
382	#4028	C₂×C₄	1	1	yes	characteristic
383	#4027	C₂×C₄	1	1	yes	characteristic
384	#4027	C₂×C₄	1	1	yes	characteristic
385	#4027	C₂×C₄	1	1	yes	characteristic
386	#4027	C₂×C₄	1	1	yes	characteristic
387	D₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
388	D₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
389	D₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
390	D₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
391	#4024	C₂×C₄	1	1	yes	characteristic
392	#4024	C₂×C₄	1	1	yes	characteristic
393	#4024	C₂×C₄	1	1	yes	characteristic
394	#4024	C₂×C₄	1	1	yes	characteristic
395	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic
396	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic
397	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic
398	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic
399	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic
400	C₄×D₂₀	C₂×C₄	1	1	yes	characteristic
401	C₄×D₂₀	C₂³	1	1	yes	characteristic
402	C₄×D₂₀	C₂³	1	1	yes	characteristic
403	C₄×D₂₀	C₂³	1	1	yes	characteristic
404	C₄×D₂₀	C₂³	1	1	yes	characteristic
405	#4018	C₂³	1	1	yes	characteristic
406	#4018	C₂³	1	1	yes	characteristic
407	C₄²×D₅	C₂³	1	1	yes	characteristic
408	C₄²×D₅	C₂³	1	1	yes	characteristic
409	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic
410	C₄×Dic₁₀	C₂×C₄	1	1	yes	characteristic
411	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
412	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
413	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
414	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
415	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
416	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
417	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
418	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
419	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
420	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
421	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
422	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
423	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
424	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
425	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
426	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
427	C₅×#97	C₂³	1	1	yes	characteristic
428	C₅×#97	C₂³	1	1	yes	characteristic
429	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
430	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
431	C₂²⋊#168	C₂³	1	1	yes	characteristic
432	C₂²⋊#168	C₂³	1	1	yes	characteristic
433	C₂²⋊#168	C₂³	1	1	yes	characteristic
434	C₂²⋊#168	C₂³	1	1	yes	characteristic
435	C₂²⋊#168	C₂³	1	1	yes	characteristic
436	C₂²⋊#168	C₂³	1	1	yes	characteristic
437	C₂²⋊#168	C₂³	1	1	yes	characteristic
438	C₂²⋊#168	C₂³	1	1	yes	characteristic
439	C₂²⋊#168	C₂³	1	1	yes	characteristic
440	C₂²⋊#168	C₂³	1	1	yes	characteristic
441	C₂²⋊#168	C₂³	1	1	yes	characteristic
442	C₂²⋊#168	C₂³	1	1	yes	characteristic
443	#3952	C₂³	1	1	yes	characteristic
444	#3952	C₂³	1	1	yes	characteristic
445	#3952	C₂³	1	1	yes	characteristic
446	#3952	C₂³	1	1	yes	characteristic
447	#3952	C₂³	1	1	yes	characteristic
448	#3952	C₂³	1	1	yes	characteristic
449	#3952	C₂³	1	1	yes	characteristic
450	#3952	C₂³	1	1	yes	characteristic
451	#3952	C₂³	1	1	yes	characteristic
452	#3952	C₂³	1	1	yes	characteristic
453	#3952	C₂³	1	1	yes	characteristic
454	#3952	C₂³	1	1	yes	characteristic
455	#3952	C₂³	1	1	yes	characteristic
456	#3952	C₂³	1	1	yes	characteristic
457	#3952	C₂³	1	1	yes	characteristic
458	#3952	C₂³	1	1	yes	characteristic
459	#3952	C₂³	1	1	yes	characteristic
460	#3952	C₂³	1	1	yes	characteristic
461	#3952	C₂³	1	1	yes	characteristic
462	#3952	C₂³	1	1	yes	characteristic
463	#3952	C₂³	1	1	yes	characteristic
464	#3952	C₂³	1	1	yes	characteristic
465	#3952	C₂³	1	1	yes	characteristic
466	#3952	C₂³	1	1	yes	characteristic
467	#3947	C₂³	1	1	yes	characteristic
468	#3947	C₂³	1	1	yes	characteristic
469	#3947	C₂³	1	1	yes	characteristic
470	#3947	C₂³	1	1	yes	characteristic
471	#3946	C₂³	1	1	yes	characteristic
472	#3946	C₂³	1	1	yes	characteristic
473	#3946	C₂³	1	1	yes	characteristic
474	#3946	C₂³	1	1	yes	characteristic
475	#3946	C₂³	1	1	yes	characteristic
476	#3946	C₂³	1	1	yes	characteristic
477	#3946	C₂³	1	1	yes	characteristic
478	#3946	C₂³	1	1	yes	characteristic
479	C₈×Dic₅	C₂³	1	1	yes	characteristic
480	C₈×Dic₅	C₂³	1	1	yes	characteristic
481	C₈×Dic₅	C₂³	1	1	yes	characteristic
482	C₈×Dic₅	C₂³	1	1	yes	characteristic
483	C₄⋊#168	C₂³	1	1	yes	characteristic
484	C₄⋊#168	C₂³	1	1	yes	characteristic
485	C₄⋊#168	C₂³	1	1	yes	characteristic
486	C₄⋊#168	C₂³	1	1	yes	characteristic
487	#3935	C₂³	1	1	yes	characteristic
488	#3935	C₂³	1	1	yes	characteristic
489	#3935	C₂³	1	1	yes	characteristic
490	#3935	C₂³	1	1	yes	characteristic
491	D₄×#41	—	5	1	no	—
492	#2981	—	5	1	no	—
493	#2981	D₅	1	1	yes	characteristic, complemented
494	#2980	—	5	1	no	—
495	#2980	—	5	1	no	—
496	#2978	—	5	1	no	—
497	#2978	—	5	1	no	—
498	#2977	—	5	1	no	—
499	#2977	—	5	1	no	—
500	#2976	—	5	1	no	—
501	#2976	—	5	1	no	—
502	#2976	—	5	1	no	—
503	#2976	—	5	1	no	—
504	#2974	—	5	1	no	—
505	#2974	—	5	1	no	—
506	#2973	—	5	1	no	—
507	#2973	—	5	1	no	—
508	#2935	—	5	1	no	—
509	D₄×M₁₆	—	5	1	no	—
510	#2933	—	5	1	no	—
511	#2933	—	5	1	no	—
512	#2932	—	5	1	no	—
513	#2930	—	5	1	no	—
514	#2929	—	5	1	no	—
515	C₂×#435	—	5	1	no	—
516	#2925	—	5	1	no	—
517	#2923	—	5	1	no	—
518	#2880	—	5	1	no	—
519	#2880	—	5	1	no	—
520	#2879	—	5	1	no	—
521	C₂×#408	—	5	1	no	—
522	C₂³×D₅	C₂²×C₄	1	1	yes	characteristic
523	C₂³×D₅	C₂²×C₄	1	1	yes	characteristic
524	C₂³×D₅	C₂²×C₄	1	1	yes	characteristic
525	C₂³×D₅	C₂²×C₄	1	1	yes	characteristic
526	C₂³×D₅	C₂²×C₄	1	1	yes	characteristic
527	C₂³×D₅	C₂²×C₄	1	1	yes	characteristic
528	C₅×#41	—	4	1	no	—
529	C₅×#41	—	4	1	no	—
530	C₅×#41	—	4	1	no	—
531	C₅×#41	—	4	1	no	—
532	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
533	C₂×C₅×Q₈	C₂²×C₄	1	1	yes	characteristic
534	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
535	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
536	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
537	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
538	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
539	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
540	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
541	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
542	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
543	C₂×C₅×D₄	C₂²×C₄	1	1	yes	characteristic
544	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
545	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
546	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
548	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
551	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
552	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
553	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
554	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
555	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
556	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
557	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
558	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
559	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
560	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
561	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
562	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
563	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
564	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
565	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
566	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
567	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
568	C₂×C₂²⋊D₅	C₂²×C₄	1	1	yes	characteristic
569	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
570	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
571	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
572	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
573	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
574	C₂²×Dic₅	C₂²×C₄	1	1	yes	characteristic
575	#713	—	4	2	no	—
576	#713	—	4	2	no	—
577	Q₈×D₅	—	4	2	no	—
578	Q₈×D₅	—	4	2	no	—
579	#711	—	4	2	no	—
580	#711	—	4	2	no	—
581	#711	—	4	2	no	—
582	#711	—	4	2	no	—
583	#711	—	4	2	no	—
584	#711	—	4	2	no	—
585	D₄×D₅	—	4	2	no	—
586	D₄×D₅	—	4	2	no	—
587	D₄×D₅	—	4	2	no	—
588	D₄×D₅	—	4	2	no	—
589	D₄×D₅	—	4	2	no	—
590	D₄×D₅	—	4	2	no	—
591	D₄×D₅	—	4	2	no	—
592	D₄×D₅	—	4	2	no	—
593	#709	—	2	2	no	—
594	#709	—	2	2	no	—
595	#709	—	2	2	no	—
596	#709	—	2	2	no	—
597	#709	—	2	2	no	—
598	#709	—	2	2	no	—
599	#709	—	4	1	no	—
600	#709	—	4	1	no	—
601	#709	—	4	1	no	—
602	#709	—	4	1	no	—
603	C₂×D₂₀	—	4	2	no	—
604	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
605	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
606	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
607	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
608	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
609	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
610	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
611	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
612	C₂×D₂₀	C₂²×C₄	1	1	yes	characteristic
613	C₂×C₄×D₅	—	2	2	no	—
614	C₂×C₄×D₅	—	2	2	no	—
615	C₂×C₄×D₅	—	2	2	no	—
616	C₂×C₄×D₅	—	2	2	no	—
617	C₂×C₄×D₅	—	4	1	no	—
618	C₂×C₄×D₅	—	4	1	no	—
619	C₂×C₄×D₅	—	4	1	no	—
620	C₂×C₄×D₅	—	4	1	no	—
621	C₂×C₄×D₅	—	4	1	no	—
622	C₂×C₄×D₅	—	4	1	no	—
623	C₂×C₄×D₅	—	4	1	no	—
624	C₂×C₄×D₅	—	4	1	no	—
625	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
626	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
627	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
628	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
629	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
630	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
631	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
632	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
633	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
634	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
635	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
636	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
637	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
638	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
639	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
640	C₂×C₄×D₅	C₂²×C₄	1	1	yes	characteristic
641	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
642	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
643	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
644	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
645	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
646	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
647	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
648	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
649	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
650	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
651	C₂×Dic₁₀	C₂²×C₄	1	1	yes	characteristic
652	C₅×M₁₆	—	4	1	no	—
653	C₅×M₁₆	—	4	1	no	—
654	C₅×M₁₆	—	4	1	no	—
655	C₅×M₁₆	—	4	1	no	—
656	C₂×C₅×C₈	—	4	1	no	—
657	C₂×C₅×C₈	—	4	1	no	—
658	C₂×C₅×C₈	—	4	1	no	—
659	C₂×C₅×C₈	—	4	1	no	—
660	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
661	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
662	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
663	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
664	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
665	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
666	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
667	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
668	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
669	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
670	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
671	C₅×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
672	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
673	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
674	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
675	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
676	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
677	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
678	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
679	C₅×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
680	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
681	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
682	C₄²×C₅	C₂⁴	1	1	yes	characteristic
683	C₄²×C₅	C₂⁴	1	1	yes	characteristic
684	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
685	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
686	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
687	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
688	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
689	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
690	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
691	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
692	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
693	C₂²⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
694	#685	C₂²×C₄	1	1	yes	characteristic
695	#685	C₂²×C₄	1	1	yes	characteristic
696	#685	C₂²×C₄	1	1	yes	characteristic
697	#685	C₂²×C₄	1	1	yes	characteristic
698	#685	C₂²×C₄	1	1	yes	characteristic
699	#685	C₂²×C₄	1	1	yes	characteristic
700	#685	C₂²×C₄	1	1	yes	characteristic
701	#685	C₂²×C₄	1	1	yes	characteristic
702	#685	C₂²×C₄	1	1	yes	characteristic
703	#685	C₂²×C₄	1	1	yes	characteristic
704	#685	C₂²×C₄	1	1	yes	characteristic
705	#685	C₂²×C₄	1	1	yes	characteristic
706	#685	C₂²×C₄	1	1	yes	characteristic
707	#685	C₂²×C₄	1	1	yes	characteristic
708	#685	C₂²×C₄	1	1	yes	characteristic
709	#685	C₂²×C₄	1	1	yes	characteristic
710	#685	C₂²×C₄	1	1	yes	characteristic
711	#685	C₂²×C₄	1	1	yes	characteristic
712	#685	C₂²×C₄	1	1	yes	characteristic
713	#685	C₂²×C₄	1	1	yes	characteristic
714	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
715	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
716	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
717	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
718	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
719	C₄⋊Dic₅	C₂²×C₄	1	1	yes	characteristic
720	#683	C₂²×C₄	1	1	yes	characteristic
721	#683	C₂²×C₄	1	1	yes	characteristic
722	#683	C₂²×C₄	1	1	yes	characteristic
723	#683	C₂²×C₄	1	1	yes	characteristic
724	#683	C₂²×C₄	1	1	yes	characteristic
725	#683	C₂²×C₄	1	1	yes	characteristic
726	#683	C₂²×C₄	1	1	yes	characteristic
727	#683	C₂²×C₄	1	1	yes	characteristic
728	#683	C₂²×C₄	1	1	yes	characteristic
729	#683	C₂²×C₄	1	1	yes	characteristic
730	#683	C₂²×C₄	1	1	yes	characteristic
731	#683	C₂²×C₄	1	1	yes	characteristic
732	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
733	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
734	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
735	C₄×Dic₅	C₂²×C₄	1	1	yes	characteristic
736	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
737	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
738	#681	—	4	1	no	—
739	#681	—	4	1	no	—
740	#681	—	4	1	no	—
741	#681	—	4	1	no	—
742	C₂×#168	—	4	1	no	—
743	C₂×#168	—	4	1	no	—
744	C₂×#168	—	4	1	no	—
745	C₂×#168	—	4	1	no	—
746	C₂×#168	C₂⁴	1	1	yes	characteristic
747	C₂×#168	C₂⁴	1	1	yes	characteristic
748	C₂×#168	C₂⁴	1	1	yes	characteristic
749	C₂×#168	C₂⁴	1	1	yes	characteristic
750	C₂×#168	C₂⁴	1	1	yes	characteristic
751	C₂×#168	C₂⁴	1	1	yes	characteristic
752	C₂×#168	C₂⁴	1	1	yes	characteristic
753	C₂×#168	C₂⁴	1	1	yes	characteristic
754	#676	—	2	2	no	—
755	#676	—	2	2	no	—
756	#676	—	2	2	no	—
757	#676	—	2	2	no	—
758	#676	—	4	1	no	—
759	#676	—	4	1	no	—
760	#676	—	4	1	no	—
761	#676	—	4	1	no	—
762	#676	—	4	1	no	—
763	#676	—	4	1	no	—
764	#676	—	4	1	no	—
765	#676	—	4	1	no	—
766	C₈×D₅	—	2	2	no	—
767	C₈×D₅	—	2	2	no	—
768	C₈×D₅	—	2	2	no	—
769	C₈×D₅	—	2	2	no	—
770	C₈×D₅	—	4	1	no	—
771	C₈×D₅	—	4	1	no	—
772	C₈×D₅	—	4	1	no	—
773	C₈×D₅	—	4	1	no	—
774	C₈×D₅	—	4	1	no	—
775	C₈×D₅	—	4	1	no	—
776	C₈×D₅	—	4	1	no	—
777	C₈×D₅	—	4	1	no	—
778	C₂²×#41	—	5	1	no	—
779	C₂²×#41	—	5	1	no	—
780	C₂×#131	—	5	1	no	—
781	C₂×#131	—	5	1	no	—
782	C₂×#131	—	5	1	no	—
783	C₂×#131	—	5	1	no	—
784	C₂²×M₁₆	—	5	1	no	—
785	C₂²×M₁₆	—	5	1	no	—
786	C₂²×M₁₆	—	5	1	no	—
787	C₂³×C₈	—	5	1	no	—
788	#550	—	5	1	no	—
789	D₄×Q₈	—	5	1	no	—
790	#548	—	5	1	no	—
791	#548	—	5	1	no	—
792	#547	—	5	1	no	—
793	#547	—	5	1	no	—
794	#547	—	5	1	no	—
795	#546	—	5	1	no	—
796	#546	—	5	1	no	—
797	#546	—	5	1	no	—
798	#546	—	5	1	no	—
799	#546	—	5	1	no	—
800	#546	—	5	1	no	—
801	D₄²	—	5	1	no	—
802	D₄²	—	5	1	no	—
803	D₄²	—	5	1	no	—
804	#532	—	5	1	no	—
805	#532	—	5	1	no	—
806	#532	C₂×D₅	1	1	yes	characteristic
807	#525	—	5	1	no	—
808	#525	—	5	1	no	—
809	#525	—	5	1	no	—
810	#525	—	5	1	no	—
811	#525	—	5	1	no	—
812	#525	—	5	1	no	—
813	C₄×#41	—	5	1	no	—
814	C₂×C₄×D₄	—	5	1	no	—
815	C₂×C₄×D₄	—	5	1	no	—
816	C₂×C₄×D₄	—	5	1	no	—
817	#436	—	5	1	no	—
818	#436	—	5	1	no	—
819	#436	—	5	1	no	—
820	#436	—	5	1	no	—
821	#436	—	5	1	no	—
822	#436	—	5	1	no	—
823	#436	—	5	1	no	—
824	#436	—	5	1	no	—
825	#436	—	5	1	no	—
826	#436	—	5	1	no	—
827	#436	C₂×D₅	1	1	yes	characteristic, complemented
828	#436	C₂×D₅	1	1	yes	characteristic, complemented
829	#435	—	5	1	no	—
830	#435	—	5	1	no	—
831	#435	—	5	1	no	—
832	#435	—	5	1	no	—
833	#435	—	5	1	no	—
834	#435	—	5	1	no	—
835	#435	—	5	1	no	—
836	#435	—	5	1	no	—
837	#435	—	5	1	no	—
838	#435	—	5	1	no	—
839	#435	—	5	1	no	—
840	#435	—	5	1	no	—
841	#435	—	5	1	no	—
842	#435	—	5	1	no	—
843	#435	—	5	1	no	—
844	#435	—	5	1	no	—
845	#435	—	5	1	no	—
846	#435	—	5	1	no	—
847	#435	—	5	1	no	—
848	#435	—	5	1	no	—
849	#435	—	5	1	no	—
850	#435	—	5	1	no	—
851	#435	—	5	1	no	—
852	#435	—	5	1	no	—
853	#435	—	5	1	no	—
854	#435	—	5	1	no	—
855	#435	—	5	1	no	—
856	#435	—	5	1	no	—
857	#435	—	5	1	no	—
858	#435	—	5	1	no	—
859	#435	—	5	1	no	—
860	#435	—	5	1	no	—
861	#435	—	5	1	no	—
862	#435	—	5	1	no	—
863	#435	—	5	1	no	—
864	#435	—	5	1	no	—
865	#435	C₂×D₅	1	1	yes	characteristic, complemented
866	#435	C₂×D₅	1	1	yes	characteristic, complemented
867	#435	C₂×D₅	1	1	yes	characteristic, complemented
868	#435	C₂×D₅	1	1	yes	characteristic, complemented
869	C₈×D₄	—	5	1	no	—
870	C₈×D₄	—	5	1	no	—
871	C₈×D₄	—	5	1	no	—
872	C₈×D₄	—	5	1	no	—
873	C₈×D₄	—	5	1	no	—
874	C₈×D₄	—	5	1	no	—
875	C₈×D₄	—	5	1	no	—
876	C₈×D₄	—	5	1	no	—
877	C₈×D₄	—	5	1	no	—
878	C₈×D₄	—	5	1	no	—
879	C₈×D₄	C₂×D₅	1	1	yes	characteristic, complemented
880	C₈×D₄	C₂×D₅	1	1	yes	characteristic, complemented
881	#433	—	5	1	no	—
882	#433	—	5	1	no	—
883	#433	—	5	1	no	—
884	#433	—	5	1	no	—
885	#433	—	5	1	no	—
886	#433	—	5	1	no	—
887	#433	—	5	1	no	—
888	#433	—	5	1	no	—
889	#432	—	5	1	no	—
890	#432	—	5	1	no	—
891	#432	—	5	1	no	—
892	#432	—	5	1	no	—
893	#432	—	5	1	no	—
894	#432	C₂×D₅	1	1	yes	characteristic, complemented
895	#431	—	5	1	no	—
896	#431	C₂×D₅	1	1	yes	characteristic, complemented
897	#424	—	5	1	no	—
898	#424	—	5	1	no	—
899	#423	—	5	1	no	—
900	C₂×C₄⋊C₈	—	5	1	no	—
901	#408	—	5	1	no	—
902	#408	—	5	1	no	—
903	#408	—	5	1	no	—
904	#408	—	5	1	no	—
905	#408	—	5	1	no	—
906	#408	—	5	1	no	—
907	#408	—	5	1	no	—
908	#408	—	5	1	no	—
909	#408	—	5	1	no	—
910	#408	—	5	1	no	—
911	#408	—	5	1	no	—
912	#408	—	5	1	no	—
913	#408	—	5	1	no	—
914	#408	—	5	1	no	—
915	#408	—	5	1	no	—
916	#408	—	5	1	no	—
917	#408	—	5	1	no	—
918	#408	—	5	1	no	—
919	#408	—	5	1	no	—
920	#408	—	5	1	no	—
921	#408	C₂×D₅	1	1	yes	characteristic, complemented
922	#408	C₂×D₅	1	1	yes	characteristic, complemented
923	#408	C₂×D₅	1	1	yes	characteristic, complemented
924	#408	C₂×D₅	1	1	yes	characteristic, complemented
925	#407	—	5	1	no	—
926	#407	—	5	1	no	—
927	#407	—	5	1	no	—
928	#407	—	5	1	no	—
929	#407	—	5	1	no	—
930	#407	—	5	1	no	—
931	#407	—	5	1	no	—
932	#407	—	5	1	no	—
933	#407	—	5	1	no	—
934	#407	—	5	1	no	—
935	C₂×C₂²⋊C₈	—	5	1	no	—
936	C₂×C₂²⋊C₈	—	5	1	no	—
937	C₂×C₂²⋊C₈	—	5	1	no	—
938	C₂×C₂²⋊C₈	—	5	1	no	—
939	C₂×C₂²⋊C₈	—	5	1	no	—
940	C₂×C₂²⋊C₈	—	5	1	no	—
941	C₂×C₂²⋊C₈	—	5	1	no	—
942	C₂×C₂²⋊C₈	—	5	1	no	—
943	C₂×C₂²⋊C₈	—	5	1	no	—
944	C₂×C₂²⋊C₈	—	5	1	no	—
945	#405	—	5	1	no	—
946	#405	—	5	1	no	—
947	C₄×M₁₆	—	5	1	no	—
948	C₂×#97	—	5	1	no	—
949	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
950	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
951	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
952	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
953	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
954	C₂²×D₅	—	2	2	no	—
955	C₂²×D₅	—	2	2	no	—
956	C₂²×D₅	—	2	2	no	—
957	C₂²×D₅	—	2	2	no	—
958	C₂²×D₅	—	2	2	no	—
959	C₂²×D₅	—	4	1	no	—
960	C₂²×D₅	—	4	1	no	—
961	C₂²×D₅	—	4	1	no	—
962	C₂²×D₅	—	4	1	no	—
963	C₂²×D₅	—	4	1	no	—
964	C₂²×D₅	—	4	1	no	—
965	C₂²×D₅	—	4	1	no	—
966	C₂²×D₅	—	4	1	no	—
967	C₂²×D₅	—	4	1	no	—
968	C₂²×D₅	—	4	1	no	—
969	C₂²×D₅	—	4	1	no	—
970	C₂²×D₅	—	4	1	no	—
971	C₂²×D₅	—	4	1	no	—
972	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
973	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
974	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
975	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
976	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
977	C₂²×D₅	C₂³×C₄	1	1	yes	characteristic
978	C₅×Q₈	—	4	1	no	—
979	C₅×Q₈	—	4	1	no	—
980	C₅×D₄	—	4	1	no	—
981	C₅×D₄	—	4	1	no	—
982	C₅×D₄	—	4	1	no	—
983	C₅×D₄	—	4	1	no	—
984	C₅×D₄	—	4	1	no	—
985	C₅×D₄	—	4	1	no	—
986	C₅×D₄	—	4	1	no	—
987	C₅×D₄	—	4	1	no	—
988	C₅×D₄	—	4	1	no	—
989	C₅×D₄	—	4	1	no	—
990	C₂×C₄×C₅	—	2	1	no	—
991	C₂×C₄×C₅	—	2	1	no	—
992	C₂×C₄×C₅	—	2	1	no	—
993	C₂×C₄×C₅	—	2	1	no	—
994	C₂×C₄×C₅	—	2	1	no	—
995	C₂×C₄×C₅	—	2	1	no	—
996	C₂×C₄×C₅	—	2	1	no	—
997	C₂×C₄×C₅	—	2	1	no	—
998	C₂×C₄×C₅	—	2	1	no	—
999	C₂×C₄×C₅	—	2	1	no	—
1000	C₂×C₄×C₅	—	4	1	no	—
1001	C₂×C₄×C₅	—	4	1	no	—
1002	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1003	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1004	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1005	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1006	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1007	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1008	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1009	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1010	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
1011	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1012	C₂²⋊D₅	—	2	2	no	—
1013	C₂²⋊D₅	—	2	2	no	—
1014	C₂²⋊D₅	—	2	2	no	—
1015	C₂²⋊D₅	—	2	2	no	—
1016	C₂²⋊D₅	—	2	2	no	—
1017	C₂²⋊D₅	—	2	2	no	—
1018	C₂²⋊D₅	—	2	2	no	—
1019	C₂²⋊D₅	—	2	2	no	—
1020	C₂²⋊D₅	—	4	1	no	—
1021	C₂²⋊D₅	—	4	1	no	—
1022	C₂²⋊D₅	—	4	1	no	—
1023	C₂²⋊D₅	—	4	1	no	—
1024	C₂²⋊D₅	—	4	1	no	—
1025	C₂²⋊D₅	—	4	1	no	—
1026	C₂²⋊D₅	—	4	1	no	—
1027	C₂²⋊D₅	—	4	1	no	—
1028	C₂²⋊D₅	—	4	1	no	—
1029	C₂²⋊D₅	—	4	1	no	—
1030	C₂×Dic₅	—	2	2	no	—
1031	C₂×Dic₅	—	2	2	no	—
1032	C₂×Dic₅	—	4	1	no	—
1033	C₂×Dic₅	—	4	1	no	—
1034	C₂×Dic₅	—	4	1	no	—
1035	C₂×Dic₅	—	4	1	no	—
1036	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1037	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1038	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1039	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1040	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1041	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1042	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1043	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1044	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1045	C₂×Dic₅	C₂³×C₄	1	1	yes	characteristic
1046	D₂₀	—	2	2	no	—
1047	D₂₀	—	2	2	no	—
1048	D₂₀	—	2	2	no	—
1049	D₂₀	—	2	2	no	—
1050	D₂₀	—	2	2	no	—
1051	D₂₀	—	4	1	no	—
1052	D₂₀	—	4	1	no	—
1053	D₂₀	—	4	1	no	—
1054	D₂₀	—	4	1	no	—
1055	C₄×D₅	—	2	2	no	—
1056	C₄×D₅	—	2	2	no	—
1057	C₄×D₅	—	2	1	no	—
1058	C₄×D₅	—	2	1	no	—
1059	C₄×D₅	—	2	1	no	—
1060	C₄×D₅	—	2	1	no	—
1061	C₄×D₅	—	2	1	no	—
1062	C₄×D₅	—	2	1	no	—
1063	C₄×D₅	—	2	1	no	—
1064	C₄×D₅	—	2	1	no	—
1065	C₄×D₅	—	2	1	no	—
1066	C₄×D₅	—	2	1	no	—
1067	C₄×D₅	—	2	2	no	—
1068	C₄×D₅	—	2	2	no	—
1069	C₄×D₅	—	4	1	no	—
1070	C₄×D₅	—	4	1	no	—
1071	C₄×D₅	—	4	1	no	—
1072	C₄×D₅	—	4	1	no	—
1073	C₄×D₅	—	4	1	no	—
1074	C₄×D₅	—	4	1	no	—
1075	C₄×D₅	—	4	1	no	—
1076	C₄×D₅	—	4	1	no	—
1077	C₄×D₅	—	4	1	no	—
1078	C₄×D₅	—	4	1	no	—
1079	C₄×D₅	—	4	1	no	—
1080	C₄×D₅	—	4	1	no	—
1081	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1082	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1083	Dic₁₀	—	2	2	no	—
1084	Dic₁₀	—	2	2	no	—
1085	Dic₁₀	—	2	2	no	—
1086	Dic₁₀	—	4	1	no	—
1087	Dic₁₀	—	4	1	no	—
1088	C₅×C₈	—	2	1	no	—
1089	C₅×C₈	—	2	1	no	—
1090	C₅×C₈	—	2	1	no	—
1091	C₅×C₈	—	2	1	no	—
1092	C₅×C₈	—	2	1	no	—
1093	C₅×C₈	—	2	1	no	—
1094	C₅×C₈	—	2	1	no	—
1095	C₅×C₈	—	2	1	no	—
1096	#168	—	2	1	no	—
1097	#168	—	2	1	no	—
1098	#168	—	2	1	no	—
1099	#168	—	2	1	no	—
1100	#168	—	2	1	no	—
1101	#168	—	2	1	no	—
1102	#168	—	2	1	no	—
1103	#168	—	2	1	no	—
1104	C₂×#41	—	5	1	no	—
1105	C₂×#41	—	5	1	no	—
1106	C₂×#41	—	5	1	no	—
1107	C₂×#41	—	5	1	no	—
1108	C₂×#41	—	5	1	no	—
1109	C₂×#41	—	5	1	no	—
1110	C₂×#41	—	5	1	no	—
1111	C₂×#41	—	5	1	no	—
1112	C₂×#41	—	5	1	no	—
1113	C₂×#41	—	5	1	no	—
1114	C₂×#41	—	5	1	no	—
1115	C₂×#41	—	5	1	no	—
1116	C₂×#41	—	5	1	no	—
1117	C₂×#41	—	20	2	no	—
1118	C₂×#41	—	20	2	no	—
1119	C₂×#41	—	20	2	no	—
1120	C₂×#41	—	20	2	no	—
1121	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1122	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1123	C₂²×Q₈	—	5	1	no	—
1124	C₂²×Q₈	—	5	1	no	—
1125	C₂²×D₄	—	5	1	no	—
1126	C₂²×D₄	—	5	1	no	—
1127	C₂²×D₄	—	5	1	no	—
1128	C₂²×D₄	—	5	1	no	—
1129	C₂²×D₄	—	5	1	no	—
1130	C₂²×D₄	—	5	1	no	—
1131	C₂²×D₄	—	5	1	no	—
1132	C₂²×D₄	—	5	1	no	—
1133	C₂²×D₄	—	5	1	no	—
1134	C₂³×C₄	—	5	1	no	—
1135	C₂³×C₄	—	5	1	no	—
1136	C₂³×C₄	—	5	1	no	—
1137	C₂³×C₄	—	5	1	no	—
1138	C₂³×C₄	—	5	1	no	—
1139	C₂³×C₄	—	5	1	no	—
1140	#131	—	20	2	no	—
1141	#131	—	20	2	no	—
1142	#131	—	20	2	no	—
1143	#131	—	20	2	no	—
1144	C₂×M₁₆	—	5	1	no	—
1145	C₂×M₁₆	—	5	1	no	—
1146	C₂×M₁₆	—	5	1	no	—
1147	C₂×M₁₆	—	5	1	no	—
1148	C₂×M₁₆	—	5	1	no	—
1149	C₂×M₁₆	—	5	1	no	—
1150	C₂×M₁₆	—	5	1	no	—
1151	C₂×M₁₆	—	5	1	no	—
1152	C₂×M₁₆	—	5	1	no	—
1153	C₂×M₁₆	—	5	1	no	—
1154	C₂×M₁₆	—	5	1	no	—
1155	C₂×M₁₆	—	5	1	no	—
1156	C₂×M₁₆	—	5	1	no	—
1157	C₂×M₁₆	—	5	1	no	—
1158	C₂×M₁₆	—	5	1	no	—
1159	C₂×M₁₆	—	5	1	no	—
1160	C₂×M₁₆	—	20	2	no	—
1161	C₂×M₁₆	—	20	2	no	—
1162	C₂×M₁₆	—	20	2	no	—
1163	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1164	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1165	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1166	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1167	C₂²×C₈	—	5	1	no	—
1168	C₂²×C₈	—	5	1	no	—
1169	C₂²×C₈	—	5	1	no	—
1170	C₂²×C₈	—	5	1	no	—
1171	C₂²×C₈	—	5	1	no	—
1172	C₂²×C₈	—	5	1	no	—
1173	C₂²×C₈	—	5	1	no	—
1174	C₂²×C₈	—	5	1	no	—
1175	C₂²×C₈	—	5	1	no	—
1176	C₂²×C₈	—	5	1	no	—
1177	C₂²×C₈	—	5	1	no	—
1178	C₂²×C₈	—	5	1	no	—
1179	C₂²×C₈	—	5	1	no	—
1180	C₂²×C₈	—	5	1	no	—
1181	C₂²×C₈	—	5	1	no	—
1182	C₂²×C₈	—	5	1	no	—
1183	C₂²×C₈	—	20	2	no	—
1184	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1185	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1186	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1187	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1188	C₄⋊Q₈	—	5	1	no	—
1189	C₄⋊Q₈	—	5	1	no	—
1190	C₄⋊Q₈	C₄×D₅	1	1	yes	characteristic
1191	#127	—	5	1	no	—
1192	#127	—	5	1	no	—
1193	#127	C₄×D₅	1	1	yes	characteristic
1194	#124	—	5	1	no	—
1195	#124	—	5	1	no	—
1196	#124	—	5	1	no	—
1197	#124	—	5	1	no	—
1198	#124	C₄×D₅	1	1	yes	characteristic
1199	#124	C₄×D₅	1	1	yes	characteristic
1200	#123	—	5	1	no	—
1201	#123	—	5	1	no	—
1202	#123	—	5	1	no	—
1203	#123	—	5	1	no	—
1204	#123	—	5	1	no	—
1205	#123	—	5	1	no	—
1206	#123	—	5	1	no	—
1207	#123	—	5	1	no	—
1208	#123	—	5	1	no	—
1209	#123	—	5	1	no	—
1210	#123	—	5	1	no	—
1211	#123	—	5	1	no	—
1212	C₂²⋊Q₈	—	5	1	no	—
1213	C₂²⋊Q₈	—	5	1	no	—
1214	C₂²⋊Q₈	—	5	1	no	—
1215	C₂²⋊Q₈	—	5	1	no	—
1216	C₂²⋊Q₈	—	5	1	no	—
1217	C₂²⋊Q₈	—	5	1	no	—
1218	C₂²⋊Q₈	—	5	1	no	—
1219	C₂²⋊Q₈	—	5	1	no	—
1220	C₂²⋊Q₈	—	5	1	no	—
1221	C₂²⋊Q₈	—	5	1	no	—
1222	C₂²⋊Q₈	—	5	1	no	—
1223	C₂²⋊Q₈	—	5	1	no	—
1224	#121	—	5	1	no	—
1225	#121	—	5	1	no	—
1226	#121	—	5	1	no	—
1227	#121	—	5	1	no	—
1228	#121	—	5	1	no	—
1229	#121	—	5	1	no	—
1230	#121	—	5	1	no	—
1231	#121	—	5	1	no	—
1232	#121	—	5	1	no	—
1233	#121	—	5	1	no	—
1234	#121	—	5	1	no	—
1235	#121	—	5	1	no	—
1236	#121	—	5	1	no	—
1237	#121	—	5	1	no	—
1238	#121	—	5	1	no	—
1239	#121	—	5	1	no	—
1240	#121	—	5	1	no	—
1241	#121	—	5	1	no	—
1242	#121	—	5	1	no	—
1243	#121	—	5	1	no	—
1244	#121	C₄×D₅	1	1	yes	characteristic
1245	#121	C₄×D₅	1	1	yes	characteristic
1246	#121	C₄×D₅	1	1	yes	characteristic
1247	#121	C₄×D₅	1	1	yes	characteristic
1248	#120	—	5	1	no	—
1249	#120	—	5	1	no	—
1250	#120	—	5	1	no	—
1251	#120	—	5	1	no	—
1252	#120	—	5	1	no	—
1253	#120	—	5	1	no	—
1254	#120	—	5	1	no	—
1255	#120	—	5	1	no	—
1256	#120	—	5	1	no	—
1257	#120	—	5	1	no	—
1258	#120	—	5	1	no	—
1259	#120	—	5	1	no	—
1260	C₄×Q₈	—	5	1	no	—
1261	C₄×Q₈	—	5	1	no	—
1262	C₄×D₄	—	5	1	no	—
1263	C₄×D₄	—	5	1	no	—
1264	C₄×D₄	—	5	1	no	—
1265	C₄×D₄	—	5	1	no	—
1266	C₄×D₄	—	5	1	no	—
1267	C₄×D₄	—	5	1	no	—
1268	C₄×D₄	—	5	1	no	—
1269	C₄×D₄	—	5	1	no	—
1270	C₄×D₄	—	5	1	no	—
1271	C₄×D₄	—	5	1	no	—
1272	C₄×D₄	—	5	1	no	—
1273	C₄×D₄	—	5	1	no	—
1274	C₄×D₄	—	5	1	no	—
1275	C₄×D₄	—	5	1	no	—
1276	C₄×D₄	—	5	1	no	—
1277	C₄×D₄	—	5	1	no	—
1278	C₄×D₄	—	5	1	no	—
1279	C₄×D₄	—	5	1	no	—
1280	C₄×D₄	—	5	1	no	—
1281	C₄×D₄	—	5	1	no	—
1282	C₄×D₄	—	5	1	no	—
1283	C₄×D₄	—	5	1	no	—
1284	C₄×D₄	—	5	1	no	—
1285	C₄×D₄	—	5	1	no	—
1286	C₄×D₄	—	5	1	no	—
1287	C₄×D₄	—	5	1	no	—
1288	C₄×D₄	—	5	1	no	—
1289	C₄×D₄	—	5	1	no	—
1290	C₄×D₄	—	5	1	no	—
1291	C₄×D₄	—	5	1	no	—
1292	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1293	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1294	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1295	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1296	#117	—	5	1	no	—
1297	#117	—	5	1	no	—
1298	#117	—	5	1	no	—
1299	C₂×C₄⋊C₄	—	5	1	no	—
1300	C₂×C₄⋊C₄	—	5	1	no	—
1301	C₂×C₄⋊C₄	—	5	1	no	—
1302	C₂×C₂²⋊C₄	—	5	1	no	—
1303	C₂×C₂²⋊C₄	—	5	1	no	—
1304	C₂×C₂²⋊C₄	—	5	1	no	—
1305	C₂×C₂²⋊C₄	—	5	1	no	—
1306	C₂×C₂²⋊C₄	—	5	1	no	—
1307	C₂×C₂²⋊C₄	—	5	1	no	—
1308	C₂×C₄²	—	5	1	no	—
1309	C₂×C₄²	—	5	1	no	—
1310	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1311	C₄⋊C₈	—	5	1	no	—
1312	C₄⋊C₈	—	5	1	no	—
1313	C₄⋊C₈	—	5	1	no	—
1314	C₄⋊C₈	—	5	1	no	—
1315	C₄⋊C₈	—	5	1	no	—
1316	C₄⋊C₈	—	5	1	no	—
1317	C₄⋊C₈	—	5	1	no	—
1318	C₄⋊C₈	—	5	1	no	—
1319	C₄⋊C₈	—	5	1	no	—
1320	C₄⋊C₈	—	5	1	no	—
1321	C₄⋊C₈	—	5	1	no	—
1322	C₄⋊C₈	—	5	1	no	—
1323	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1324	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1325	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1326	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1327	C₂²⋊C₈	—	5	1	no	—
1328	C₂²⋊C₈	—	5	1	no	—
1329	C₂²⋊C₈	—	5	1	no	—
1330	C₂²⋊C₈	—	5	1	no	—
1331	C₂²⋊C₈	—	5	1	no	—
1332	C₂²⋊C₈	—	5	1	no	—
1333	C₂²⋊C₈	—	5	1	no	—
1334	C₂²⋊C₈	—	5	1	no	—
1335	C₂²⋊C₈	—	5	1	no	—
1336	C₂²⋊C₈	—	5	1	no	—
1337	C₂²⋊C₈	—	5	1	no	—
1338	C₂²⋊C₈	—	5	1	no	—
1339	C₂²⋊C₈	—	5	1	no	—
1340	C₂²⋊C₈	—	5	1	no	—
1341	C₂²⋊C₈	—	5	1	no	—
1342	C₂²⋊C₈	—	5	1	no	—
1343	C₂²⋊C₈	—	5	1	no	—
1344	C₂²⋊C₈	—	5	1	no	—
1345	C₂²⋊C₈	—	5	1	no	—
1346	C₂²⋊C₈	—	5	1	no	—
1347	C₂²⋊C₈	—	5	1	no	—
1348	C₂²⋊C₈	—	5	1	no	—
1349	C₂²⋊C₈	—	5	1	no	—
1350	C₂²⋊C₈	—	5	1	no	—
1351	C₂²⋊C₈	—	5	1	no	—
1352	C₂²⋊C₈	—	5	1	no	—
1353	C₂²⋊C₈	—	5	1	no	—
1354	C₂²⋊C₈	—	5	1	no	—
1355	C₂²⋊C₈	—	5	1	no	—
1356	C₂²⋊C₈	—	5	1	no	—
1357	C₂²⋊C₈	—	5	1	no	—
1358	C₂²⋊C₈	—	5	1	no	—
1359	C₂²⋊C₈	—	5	1	no	—
1360	C₂²⋊C₈	—	5	1	no	—
1361	C₂²⋊C₈	—	5	1	no	—
1362	C₂²⋊C₈	—	5	1	no	—
1363	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1364	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1365	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1366	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1367	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1368	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1369	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1370	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1371	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1372	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1373	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1374	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1375	#97	—	5	1	no	—
1376	#97	—	5	1	no	—
1377	#97	—	5	1	no	—
1378	#97	—	5	1	no	—
1379	#97	—	5	1	no	—
1380	#97	—	5	1	no	—
1381	#97	—	5	1	no	—
1382	#97	—	5	1	no	—
1383	#97	C₂²×D₅	1	1	yes	characteristic
1384	#97	C₂²×D₅	1	1	yes	characteristic
1385	C₄×C₈	—	5	1	no	—
1386	C₄×C₈	—	5	1	no	—
1387	C₄×C₈	—	5	1	no	—
1388	C₄×C₈	—	5	1	no	—
1389	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1390	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1391	C₂²×C₅	—	2	1	no	—
1392	C₂²×C₅	—	2	1	no	—
1393	C₂²×C₅	—	2	1	no	—
1394	C₂²×C₅	—	2	1	no	—
1395	C₂²×C₅	—	2	1	no	—
1396	C₂²×C₅	—	2	1	no	—
1397	C₂²×C₅	—	2	1	no	—
1398	C₂²×C₅	—	2	1	no	—
1399	C₂²×C₅	—	2	1	no	—
1400	C₂²×C₅	—	2	1	no	—
1401	C₂²×C₅	—	2	1	no	—
1402	C₂²×C₅	—	2	1	no	—
1403	C₂²×C₅	—	2	1	no	—
1404	C₂²×C₅	—	2	1	no	—
1405	C₂²×C₅	—	2	1	no	—
1406	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
1407	C₂×D₅	—	2	1	no	—
1408	C₂×D₅	—	2	1	no	—
1409	C₂×D₅	—	2	1	no	—
1410	C₂×D₅	—	2	1	no	—
1411	C₂×D₅	—	2	1	no	—
1412	C₂×D₅	—	2	1	no	—
1413	C₂×D₅	—	2	1	no	—
1414	C₂×D₅	—	2	1	no	—
1415	C₂×D₅	—	2	1	no	—
1416	C₂×D₅	—	2	1	no	—
1417	C₂×D₅	—	2	1	no	—
1418	C₂×D₅	—	2	1	no	—
1419	C₂×D₅	—	2	1	no	—
1420	C₂×D₅	—	2	1	no	—
1421	C₂×D₅	—	2	1	no	—
1422	C₂×D₅	—	2	1	no	—
1423	C₂×D₅	—	4	4	no	—
1424	C₂×D₅	—	8	2	no	—
1425	C₂×D₅	—	8	2	no	—
1426	C₂×D₅	—	8	2	no	—
1427	C₂×D₅	—	8	2	no	—
1428	C₂×D₅	—	8	2	no	—
1429	C₂×D₅	#518	1	2	yes	—
1430	C₂×D₅	#568	1	2	yes	—
1431	C₄×C₅	—	2	1	no	—
1432	C₄×C₅	—	2	1	no	—
1433	C₄×C₅	—	2	1	no	—
1434	C₄×C₅	—	2	1	no	—
1435	C₄×C₅	—	2	1	no	—
1436	C₄×C₅	—	2	1	no	—
1437	C₄×C₅	—	2	1	no	—
1438	C₄×C₅	—	2	1	no	—
1439	C₄×C₅	—	2	1	no	—
1440	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1441	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1442	Dic₅	—	2	1	no	—
1443	Dic₅	—	2	1	no	—
1444	Dic₅	—	2	1	no	—
1445	Dic₅	—	2	1	no	—
1446	Dic₅	—	2	1	no	—
1447	Dic₅	—	2	1	no	—
1448	Dic₅	—	2	1	no	—
1449	Dic₅	—	2	1	no	—
1450	Dic₅	—	2	1	no	—
1451	Dic₅	#518	1	2	yes	—
1452	C₂⁴	—	5	1	no	—
1453	C₂⁴	—	5	1	no	—
1454	C₂⁴	—	5	1	no	—
1455	C₂⁴	—	5	1	no	—
1456	C₂⁴	—	5	1	no	—
1457	C₂⁴	—	5	1	no	—
1458	#41	—	4	1	no	—
1459	#41	—	4	1	no	—
1460	#41	—	4	1	no	—
1461	#41	—	4	1	no	—
1462	#41	—	10	2	no	—
1463	#41	—	10	2	no	—
1464	#41	—	10	2	no	—
1465	#41	—	10	2	no	—
1466	#41	—	10	2	no	—
1467	#41	—	10	2	no	—
1468	#41	—	20	1	no	—
1469	#41	—	20	1	no	—
1470	#41	—	20	1	no	—
1471	#41	—	20	1	no	—
1472	#41	—	20	2	no	—
1473	#41	—	20	2	no	—
1474	#41	—	20	2	no	—
1475	#41	—	20	2	no	—
1476	#41	—	20	2	no	—
1477	#41	—	20	2	no	—
1478	#41	—	20	2	no	—
1479	#41	—	20	2	no	—
1480	C₂×Q₈	—	5	1	no	—
1481	C₂×Q₈	—	5	1	no	—
1482	C₂×Q₈	—	5	1	no	—
1483	C₂×Q₈	—	5	1	no	—
1484	C₂×Q₈	—	5	1	no	—
1485	C₂×Q₈	—	20	2	no	—
1486	C₂×Q₈	—	20	2	no	—
1487	C₂×Q₈	C₂×C₄×D₅	1	1	yes	characteristic
1488	C₂×Q₈	C₂×C₄×D₅	1	1	yes	characteristic
1489	C₂×D₄	—	5	1	no	—
1490	C₂×D₄	—	5	1	no	—
1491	C₂×D₄	—	5	1	no	—
1492	C₂×D₄	—	5	1	no	—
1493	C₂×D₄	—	5	1	no	—
1494	C₂×D₄	—	5	1	no	—
1495	C₂×D₄	—	5	1	no	—
1496	C₂×D₄	—	5	1	no	—
1497	C₂×D₄	—	5	1	no	—
1498	C₂×D₄	—	5	1	no	—
1499	C₂×D₄	—	5	1	no	—
1500	C₂×D₄	—	5	1	no	—
1501	C₂×D₄	—	5	1	no	—
1502	C₂×D₄	—	5	1	no	—
1503	C₂×D₄	—	5	1	no	—
1504	C₂×D₄	—	5	1	no	—
1505	C₂×D₄	—	5	1	no	—
1506	C₂×D₄	—	5	1	no	—
1507	C₂×D₄	—	5	1	no	—
1508	C₂×D₄	—	5	1	no	—
1509	C₂×D₄	—	5	1	no	—
1510	C₂×D₄	—	5	1	no	—
1511	C₂×D₄	—	5	1	no	—
1512	C₂×D₄	—	5	1	no	—
1513	C₂×D₄	—	5	1	no	—
1514	C₂×D₄	—	5	1	no	—
1515	C₂×D₄	—	5	1	no	—
1516	C₂×D₄	—	20	2	no	—
1517	C₂×D₄	—	20	2	no	—
1518	C₂×D₄	—	20	2	no	—
1519	C₂×D₄	—	20	2	no	—
1520	C₂×D₄	—	20	2	no	—
1521	C₂×D₄	—	20	2	no	—
1522	C₂×D₄	—	20	2	no	—
1523	C₂×D₄	—	20	2	no	—
1524	C₂×D₄	—	20	2	no	—
1525	C₂×D₄	C₂×C₄×D₅	1	1	yes	characteristic
1526	C₂×D₄	C₂×C₄×D₅	1	1	yes	characteristic
1527	C₂×D₄	C₂×C₄×D₅	1	1	yes	characteristic
1528	C₂×D₄	C₂×C₄×D₅	1	1	yes	characteristic
1529	C₂×D₄	C₂×C₄×D₅	1	1	yes	characteristic
1530	C₂×D₄	C₂×C₄×D₅	1	1	yes	characteristic
1531	C₂×D₄	C₂×C₄×D₅	1	1	yes	characteristic
1532	C₂×D₄	C₂×C₄×D₅	1	1	yes	characteristic
1533	C₂×D₄	C₂×C₄×D₅	1	1	yes	characteristic
1534	C₂×D₄	C₂×C₄×D₅	1	1	yes	characteristic
1535	C₂²×C₄	—	5	1	no	—
1536	C₂²×C₄	—	5	1	no	—
1537	C₂²×C₄	—	5	1	no	—
1538	C₂²×C₄	—	5	1	no	—
1539	C₂²×C₄	—	5	1	no	—
1540	C₂²×C₄	—	5	1	no	—
1541	C₂²×C₄	—	5	1	no	—
1542	C₂²×C₄	—	5	1	no	—
1543	C₂²×C₄	—	5	1	no	—
1544	C₂²×C₄	—	5	1	no	—
1545	C₂²×C₄	—	5	1	no	—
1546	C₂²×C₄	—	5	1	no	—
1547	C₂²×C₄	—	5	1	no	—
1548	C₂²×C₄	—	5	1	no	—
1549	C₂²×C₄	—	5	1	no	—
1550	C₂²×C₄	—	5	1	no	—
1551	C₂²×C₄	—	5	1	no	—
1552	C₂²×C₄	—	5	1	no	—
1553	C₂²×C₄	—	5	1	no	—
1554	C₂²×C₄	—	5	1	no	—
1555	C₂²×C₄	—	5	1	no	—
1556	C₂²×C₄	—	5	1	no	—
1557	C₂²×C₄	—	5	1	no	—
1558	C₂²×C₄	—	5	1	no	—
1559	C₂²×C₄	—	5	1	no	—
1560	C₂²×C₄	—	5	1	no	—
1561	C₂²×C₄	—	5	1	no	—
1562	C₂²×C₄	—	5	1	no	—
1563	C₂²×C₄	—	10	2	no	—
1564	C₂²×C₄	—	10	2	no	—
1565	C₂²×C₄	—	10	2	no	—
1566	C₂²×C₄	—	10	2	no	—
1567	C₂²×C₄	—	20	1	no	—
1568	C₂²×C₄	—	20	1	no	—
1569	C₂²×C₄	—	20	1	no	—
1570	C₂²×C₄	—	20	1	no	—
1571	C₂²×C₄	—	20	1	no	—
1572	C₂²×C₄	—	20	1	no	—
1573	C₂²×C₄	—	20	1	no	—
1574	C₂²×C₄	—	20	1	no	—
1575	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
1576	C₂²×C₄	C₂×C₄×D₅	1	1	yes	characteristic
1577	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1578	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1579	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1580	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1581	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1582	M₁₆	—	4	1	no	—
1583	M₁₆	—	4	1	no	—
1584	M₁₆	—	4	1	no	—
1585	M₁₆	—	4	1	no	—
1586	M₁₆	—	10	2	no	—
1587	M₁₆	—	10	2	no	—
1588	M₁₆	—	10	2	no	—
1589	M₁₆	—	10	2	no	—
1590	M₁₆	—	20	1	no	—
1591	M₁₆	—	20	1	no	—
1592	M₁₆	—	20	1	no	—
1593	M₁₆	—	20	1	no	—
1594	M₁₆	—	20	1	no	—
1595	M₁₆	—	20	1	no	—
1596	M₁₆	—	20	1	no	—
1597	M₁₆	—	20	1	no	—
1598	M₁₆	—	20	1	no	—
1599	M₁₆	—	20	1	no	—
1600	M₁₆	—	20	1	no	—
1601	M₁₆	—	20	1	no	—
1602	C₂×C₈	—	4	1	no	—
1603	C₂×C₈	—	4	1	no	—
1604	C₂×C₈	—	4	1	no	—
1605	C₂×C₈	—	4	1	no	—
1606	C₂×C₈	—	5	1	no	—
1607	C₂×C₈	—	5	1	no	—
1608	C₂×C₈	—	5	1	no	—
1609	C₂×C₈	—	5	1	no	—
1610	C₂×C₈	—	5	1	no	—
1611	C₂×C₈	—	5	1	no	—
1612	C₂×C₈	—	5	1	no	—
1613	C₂×C₈	—	5	1	no	—
1614	C₂×C₈	—	10	2	no	—
1615	C₂×C₈	—	10	2	no	—
1616	C₂×C₈	—	10	2	no	—
1617	C₂×C₈	—	10	2	no	—
1618	C₂×C₈	—	20	1	no	—
1619	C₂×C₈	—	20	1	no	—
1620	C₂×C₈	—	20	1	no	—
1621	C₂×C₈	—	20	1	no	—
1622	C₂×C₈	—	20	1	no	—
1623	C₂×C₈	—	20	1	no	—
1624	C₂×C₈	—	20	1	no	—
1625	C₂×C₈	—	20	1	no	—
1626	C₂×C₈	—	20	1	no	—
1627	C₂×C₈	—	20	1	no	—
1628	C₂×C₈	—	20	1	no	—
1629	C₂×C₈	—	20	1	no	—
1630	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1631	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1632	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1633	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1634	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1635	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1636	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1637	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1638	C₄⋊C₄	—	5	1	no	—
1639	C₄⋊C₄	—	5	1	no	—
1640	C₄⋊C₄	—	5	1	no	—
1641	C₄⋊C₄	—	5	1	no	—
1642	C₄⋊C₄	—	5	1	no	—
1643	C₄⋊C₄	—	5	1	no	—
1644	C₄⋊C₄	—	5	1	no	—
1645	C₄⋊C₄	—	5	1	no	—
1646	C₄⋊C₄	—	5	1	no	—
1647	C₄⋊C₄	—	5	1	no	—
1648	C₄⋊C₄	—	5	1	no	—
1649	C₄⋊C₄	—	5	1	no	—
1650	C₄⋊C₄	—	5	1	no	—
1651	C₄⋊C₄	—	5	1	no	—
1652	C₄⋊C₄	—	5	1	no	—
1653	C₄⋊C₄	—	5	1	no	—
1654	C₄⋊C₄	—	5	1	no	—
1655	C₄⋊C₄	—	5	1	no	—
1656	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1657	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1658	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1659	C₄⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1660	C₂²⋊C₄	—	5	1	no	—
1661	C₂²⋊C₄	—	5	1	no	—
1662	C₂²⋊C₄	—	5	1	no	—
1663	C₂²⋊C₄	—	5	1	no	—
1664	C₂²⋊C₄	—	5	1	no	—
1665	C₂²⋊C₄	—	5	1	no	—
1666	C₂²⋊C₄	—	5	1	no	—
1667	C₂²⋊C₄	—	5	1	no	—
1668	C₂²⋊C₄	—	5	1	no	—
1669	C₂²⋊C₄	—	5	1	no	—
1670	C₂²⋊C₄	—	5	1	no	—
1671	C₂²⋊C₄	—	5	1	no	—
1672	C₂²⋊C₄	—	5	1	no	—
1673	C₂²⋊C₄	—	5	1	no	—
1674	C₂²⋊C₄	—	5	1	no	—
1675	C₂²⋊C₄	—	5	1	no	—
1676	C₂²⋊C₄	—	5	1	no	—
1677	C₂²⋊C₄	—	5	1	no	—
1678	C₂²⋊C₄	—	5	1	no	—
1679	C₂²⋊C₄	—	5	1	no	—
1680	C₂²⋊C₄	—	5	1	no	—
1681	C₂²⋊C₄	—	5	1	no	—
1682	C₂²⋊C₄	—	5	1	no	—
1683	C₂²⋊C₄	—	5	1	no	—
1684	C₂²⋊C₄	—	5	1	no	—
1685	C₂²⋊C₄	—	5	1	no	—
1686	C₂²⋊C₄	—	5	1	no	—
1687	C₂²⋊C₄	—	5	1	no	—
1688	C₂²⋊C₄	—	5	1	no	—
1689	C₂²⋊C₄	—	5	1	no	—
1690	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1691	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1692	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1693	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1694	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1695	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1696	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1697	C₂²⋊C₄	C₂×C₄×D₅	1	1	yes	characteristic
1698	C₄²	—	5	1	no	—
1699	C₄²	—	5	1	no	—
1700	C₄²	—	5	1	no	—
1701	C₄²	—	5	1	no	—
1702	C₄²	—	5	1	no	—
1703	C₄²	—	5	1	no	—
1704	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
1705	C₄²	C₂×C₄×D₅	1	1	yes	characteristic
1706	C₄²	C₂³×D₅	1	1	yes	characteristic
1707	C₄²	C₂³×D₅	1	1	yes	characteristic
1708	C₂×C₅	—	4	1	no	—
1709	C₂×C₅	—	4	1	no	—
1710	C₂×C₅	—	4	1	no	—
1711	C₂×C₅	—	4	1	no	—
1712	C₂×C₅	—	4	1	no	—
1713	C₂×C₅	C₂×#518	1	1	yes	characteristic
1714	C₂×C₅	C₂×#568	1	1	yes	characteristic
1715	C₂×C₅	#3573	1	1	yes	characteristic
1716	D₅	—	2	2	no	—
1717	D₅	—	2	2	no	—
1718	D₅	—	4	1	no	—
1719	D₅	—	4	1	no	—
1720	D₅	—	4	1	no	—
1721	D₅	—	4	1	no	—
1722	C₂³	—	5	1	no	—
1723	C₂³	—	5	1	no	—
1724	C₂³	—	5	1	no	—
1725	C₂³	—	5	1	no	—
1726	C₂³	—	5	1	no	—
1727	C₂³	—	5	1	no	—
1728	C₂³	—	10	2	no	—
1729	C₂³	—	10	2	no	—
1730	C₂³	—	10	2	no	—
1731	C₂³	—	10	2	no	—
1732	C₂³	—	10	2	no	—
1733	C₂³	—	20	1	no	—
1734	C₂³	—	20	1	no	—
1735	C₂³	—	20	1	no	—
1736	C₂³	—	20	1	no	—
1737	C₂³	—	20	1	no	—
1738	C₂³	—	20	1	no	—
1739	C₂³	—	20	1	no	—
1740	C₂³	—	20	1	no	—
1741	C₂³	—	20	1	no	—
1742	C₂³	—	20	1	no	—
1743	C₂³	—	20	1	no	—
1744	C₂³	—	20	1	no	—
1745	C₂³	—	20	1	no	—
1746	C₂³	C₂²×C₄×D₅	1	1	yes	characteristic
1747	C₂³	C₂²×C₄×D₅	1	1	yes	characteristic
1748	C₂³	C₂²×C₄×D₅	1	1	yes	characteristic
1749	C₂³	C₂²×C₄×D₅	1	1	yes	characteristic
1750	C₂³	C₂²×C₄×D₅	1	1	yes	characteristic
1751	Q₈	—	4	1	no	—
1752	Q₈	—	4	1	no	—
1753	Q₈	—	10	2	no	—
1754	Q₈	—	10	2	no	—
1755	Q₈	—	10	2	no	—
1756	Q₈	—	20	1	no	—
1757	Q₈	—	20	1	no	—
1758	D₄	—	4	1	no	—
1759	D₄	—	4	1	no	—
1760	D₄	—	4	1	no	—
1761	D₄	—	4	1	no	—
1762	D₄	—	4	1	no	—
1763	D₄	—	4	1	no	—
1764	D₄	—	4	1	no	—
1765	D₄	—	4	1	no	—
1766	D₄	—	4	1	no	—
1767	D₄	—	4	1	no	—
1768	D₄	—	10	2	no	—
1769	D₄	—	10	2	no	—
1770	D₄	—	10	2	no	—
1771	D₄	—	10	2	no	—
1772	D₄	—	10	2	no	—
1773	D₄	—	10	2	no	—
1774	D₄	—	10	2	no	—
1775	D₄	—	10	2	no	—
1776	D₄	—	10	2	no	—
1777	D₄	—	10	2	no	—
1778	D₄	—	10	2	no	—
1779	D₄	—	10	2	no	—
1780	D₄	—	10	2	no	—
1781	D₄	—	20	1	no	—
1782	D₄	—	20	1	no	—
1783	D₄	—	20	1	no	—
1784	D₄	—	20	1	no	—
1785	D₄	—	20	1	no	—
1786	D₄	—	20	1	no	—
1787	D₄	—	20	1	no	—
1788	D₄	—	20	1	no	—
1789	D₄	—	20	1	no	—
1790	D₄	—	20	1	no	—
1791	D₄	—	20	1	no	—
1792	D₄	—	20	1	no	—
1793	D₄	—	20	1	no	—
1794	D₄	—	20	1	no	—
1795	C₂×C₄	—	2	1	no	—
1796	C₂×C₄	—	2	1	no	—
1797	C₂×C₄	—	2	1	no	—
1798	C₂×C₄	—	2	1	no	—
1799	C₂×C₄	—	2	1	no	—
1800	C₂×C₄	—	2	1	no	—
1801	C₂×C₄	—	2	1	no	—
1802	C₂×C₄	—	2	1	no	—
1803	C₂×C₄	—	2	1	no	—
1804	C₂×C₄	—	2	1	no	—
1805	C₂×C₄	—	4	1	no	—
1806	C₂×C₄	—	4	1	no	—
1807	C₂×C₄	—	5	1	no	—
1808	C₂×C₄	—	5	2	no	—
1809	C₂×C₄	—	5	2	no	—
1810	C₂×C₄	—	5	1	no	—
1811	C₂×C₄	—	5	1	no	—
1812	C₂×C₄	—	5	1	no	—
1813	C₂×C₄	—	5	1	no	—
1814	C₂×C₄	—	5	1	no	—
1815	C₂×C₄	—	5	1	no	—
1816	C₂×C₄	—	5	1	no	—
1817	C₂×C₄	—	5	1	no	—
1818	C₂×C₄	—	5	1	no	—
1819	C₂×C₄	—	10	2	no	—
1820	C₂×C₄	—	10	2	no	—
1821	C₂×C₄	—	10	2	no	—
1822	C₂×C₄	—	10	2	no	—
1823	C₂×C₄	—	10	2	no	—
1824	C₂×C₄	—	10	2	no	—
1825	C₂×C₄	—	10	1	no	—
1826	C₂×C₄	—	10	1	no	—
1827	C₂×C₄	—	10	1	no	—
1828	C₂×C₄	—	10	1	no	—
1829	C₂×C₄	—	10	1	no	—
1830	C₂×C₄	—	10	1	no	—
1831	C₂×C₄	—	10	1	no	—
1832	C₂×C₄	—	10	1	no	—
1833	C₂×C₄	—	10	1	no	—
1834	C₂×C₄	—	10	1	no	—
1835	C₂×C₄	—	20	1	no	—
1836	C₂×C₄	—	20	1	no	—
1837	C₂×C₄	—	20	1	no	—
1838	C₂×C₄	—	20	1	no	—
1839	C₂×C₄	—	20	1	no	—
1840	C₂×C₄	—	20	1	no	—
1841	C₂×C₄	—	20	1	no	—
1842	C₂×C₄	—	20	1	no	—
1843	C₂×C₄	—	20	1	no	—
1844	C₂×C₄	—	20	1	no	—
1845	C₂×C₄	—	20	1	no	—
1846	C₂×C₄	—	20	1	no	—
1847	C₂×C₄	—	20	1	no	—
1848	C₂×C₄	—	20	1	no	—
1849	C₂×C₄	—	20	1	no	—
1850	C₂×C₄	—	20	1	no	—
1851	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1852	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1853	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1854	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1855	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1856	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1857	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1858	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1859	C₂×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
1860	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1861	C₈	—	2	1	no	—
1862	C₈	—	2	1	no	—
1863	C₈	—	2	1	no	—
1864	C₈	—	2	1	no	—
1865	C₈	—	2	1	no	—
1866	C₈	—	2	1	no	—
1867	C₈	—	2	1	no	—
1868	C₈	—	2	1	no	—
1869	C₈	—	10	1	no	—
1870	C₈	—	10	1	no	—
1871	C₈	—	10	1	no	—
1872	C₈	—	10	1	no	—
1873	C₈	—	10	1	no	—
1874	C₈	—	10	1	no	—
1875	C₈	—	10	1	no	—
1876	C₈	—	10	1	no	—
1877	C₅	#60240	1	1	yes	characteristic, complemented, Sylow
1878	C₂²	—	2	1	no	—
1879	C₂²	—	2	1	no	—
1880	C₂²	—	2	1	no	—
1881	C₂²	—	2	1	no	—
1882	C₂²	—	2	1	no	—
1883	C₂²	—	2	1	no	—
1884	C₂²	—	2	1	no	—
1885	C₂²	—	2	1	no	—
1886	C₂²	—	2	1	no	—
1887	C₂²	—	2	1	no	—
1888	C₂²	—	2	1	no	—
1889	C₂²	—	2	1	no	—
1890	C₂²	—	2	1	no	—
1891	C₂²	—	2	1	no	—
1892	C₂²	—	2	1	no	—
1893	C₂²	—	5	2	no	—
1894	C₂²	—	5	2	no	—
1895	C₂²	—	10	1	no	—
1896	C₂²	—	10	1	no	—
1897	C₂²	—	10	1	no	—
1898	C₂²	—	10	1	no	—
1899	C₂²	—	10	1	no	—
1900	C₂²	—	10	1	no	—
1901	C₂²	—	10	1	no	—
1902	C₂²	—	10	1	no	—
1903	C₂²	—	10	1	no	—
1904	C₂²	—	10	1	no	—
1905	C₂²	—	10	1	no	—
1906	C₂²	—	10	1	no	—
1907	C₂²	—	10	1	no	—
1908	C₂²	—	10	1	no	—
1909	C₂²	—	10	1	no	—
1910	C₂²	—	10	1	no	—
1911	C₂²	—	20	4	no	—
1912	C₂²	—	40	2	no	—
1913	C₂²	—	40	2	no	—
1914	C₂²	—	40	2	no	—
1915	C₂²	—	40	2	no	—
1916	C₂²	—	40	2	no	—
1917	C₂²	C₂³×C₄×D₅	1	1	yes	characteristic
1918	C₄	—	2	1	no	—
1919	C₄	—	2	1	no	—
1920	C₄	—	2	1	no	—
1921	C₄	—	2	1	no	—
1922	C₄	—	2	1	no	—
1923	C₄	—	2	1	no	—
1924	C₄	—	2	1	no	—
1925	C₄	—	2	1	no	—
1926	C₄	—	2	1	no	—
1927	C₄	—	5	2	no	—
1928	C₄	—	10	1	no	—
1929	C₄	—	10	1	no	—
1930	C₄	—	10	1	no	—
1931	C₄	—	10	1	no	—
1932	C₄	—	10	1	no	—
1933	C₄	—	10	1	no	—
1934	C₄	—	10	1	no	—
1935	C₄	—	10	1	no	—
1936	C₄	—	10	1	no	—
1937	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1938	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1939	C₂	—	4	1	no	—
1940	C₂	—	4	1	no	—
1941	C₂	—	4	1	no	—
1942	C₂	—	4	1	no	—
1943	C₂	—	4	1	no	—
1944	C₂	—	10	2	no	—
1945	C₂	—	10	2	no	—
1946	C₂	—	20	1	no	—
1947	C₂	—	20	1	no	—
1948	C₂	—	20	1	no	—
1949	C₂	—	20	1	no	—
1950	C₂	D₅×#518	1	1	yes	characteristic
1951	C₂	#10619061	1	1	yes	characteristic
1952	C₂	D₅×#568	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₅
commutator, socle	C₂²×C₅	C₂⁴×C₄
Fitting	C₅×#2981	C₂
prime radical	#10618139	C₂
cosocle	C₂×C₄×C₅	C₂⁵
hypercenter	#2981	D₅
hypocenter	C₅	#60240
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₄ ◁ #2981

Complements

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

N	H ≅ G/N	type
2. C₅×#2981	C₂	semidirect
3. #10615010	C₂	semidirect
4. #10611276	C₂	semidirect
5. #10611275	C₂	semidirect
6. #10611270	C₂	semidirect
7. #10611268	C₂	semidirect
8. #10611223	C₂	semidirect
9. #10611222	C₂	semidirect
10. #10611217	C₂	semidirect
11. #10611216	C₂	semidirect
12. #10611215	C₂	semidirect
13. #10611214	C₂	semidirect
14. #10611211	C₂	semidirect
15. D₅×#435	C₂	semidirect
16. #10611160	C₂	semidirect
17. #10611159	C₂	semidirect
18. #10611154	C₂	semidirect
19. #10611152	C₂	semidirect
20. #10611066	C₂	semidirect
21. #10611063	C₂	semidirect
22. #10611018	C₂	semidirect
23. #10611016	C₂	semidirect
24. #10610397	C₂	semidirect
25. #10610396	C₂	semidirect
26. #10610395	C₂	semidirect
27. #10610395	C₂	semidirect
28. #10610394	C₂	semidirect
29. #10610394	C₂	semidirect
30. #10610393	C₂	semidirect
31. D₅×#408	C₂	semidirect
37. C₂×#4053	C₂²	semidirect
38. C₂×#4053	C₂²	semidirect
39. C₂×D₅×M₁₆	C₂²	semidirect
40. C₂×D₅×M₁₆	C₂²	semidirect
41. C₂×#4047	C₂²	semidirect
42. C₂×#4047	C₂²	semidirect
43. C₂²×#676	C₂²	semidirect
44. C₂²×C₈×D₅	C₂²	semidirect
71. C₅×#436	C₂²	semidirect
72. C₅×#436	C₂²	semidirect
73. C₅×#435	C₂²	semidirect
74. C₅×#435	C₂²	semidirect
75. C₅×#435	C₂²	semidirect
76. C₅×#435	C₂²	semidirect
77. C₅×C₈×D₄	C₂²	semidirect
78. C₅×C₈×D₄	C₂²	semidirect
79. C₅×#432	C₂²	semidirect
80. C₅×#431	C₂²	semidirect
81. C₅×#408	C₂²	semidirect
82. C₅×#408	C₂²	semidirect
83. C₅×#408	C₂²	semidirect
84. C₅×#408	C₂²	semidirect
85. #65523	C₂²	semidirect
86. #65523	C₂²	semidirect
87. #65523	C₂²	semidirect
88. #65523	C₂²	semidirect
89. #65418	C₂²	semidirect
90. #65418	C₂²	semidirect
91. #65417	C₂²	semidirect
92. #65417	C₂²	semidirect
93. #65417	C₂²	semidirect
94. #65417	C₂²	semidirect
95. #65416	C₂²	semidirect
96. #65416	C₂²	semidirect
97. #65416	C₂²	semidirect
98. #65416	C₂²	semidirect
99. #65415	C₂²	semidirect
100. #65415	C₂²	semidirect
101. #65400	C₂²	semidirect
102. #65400	C₂²	semidirect
103. #65400	C₂²	semidirect
104. #65400	C₂²	semidirect
105. #65399	C₂²	semidirect
106. #65399	C₂²	semidirect
107. C₈×C₂²⋊D₅	C₂²	semidirect
108. C₈×C₂²⋊D₅	C₂²	semidirect
109. C₈×C₂²⋊D₅	C₂²	semidirect
110. C₈×C₂²⋊D₅	C₂²	semidirect
111. C₂×#3952	C₂²	semidirect
112. C₂×#3952	C₂²	semidirect
113. #65300	C₂²	semidirect
114. #65300	C₂²	semidirect
115. #65300	C₂²	semidirect
116. #65300	C₂²	semidirect
117. #65300	C₂²	semidirect
118. #65300	C₂²	semidirect
119. #65300	C₂²	semidirect
120. #65300	C₂²	semidirect
121. #65215	C₂²	semidirect
122. #65215	C₂²	semidirect
123. #65129	C₂²	semidirect
124. #65129	C₂²	semidirect
125. #65128	C₂²	semidirect
126. #65128	C₂²	semidirect
127. #65126	C₂²	semidirect
130. #65125	C₂²	semidirect
131. #65125	C₂²	semidirect
132. #65125	C₂²	semidirect
133. #65125	C₂²	semidirect
134. #65125	C₂²	semidirect
135. #65125	C₂²	semidirect
136. #65124	C₂²	semidirect
137. #65122	C₂²	semidirect
138. D₅×C₄⋊C₈	C₂²	semidirect
139. #65019	C₂²	semidirect
140. #65019	C₂²	semidirect
141. #65019	C₂²	semidirect
142. #65019	C₂²	semidirect
143. #65018	C₂²	semidirect
144. #65018	C₂²	semidirect
145. #65018	C₂²	semidirect
146. #65018	C₂²	semidirect
147. #65017	C₂²	semidirect
148. #65017	C₂²	semidirect
149. #65017	C₂²	semidirect
150. #65017	C₂²	semidirect
155. #65016	C₂²	semidirect
156. #65016	C₂²	semidirect
157. #65016	C₂²	semidirect
158. #65016	C₂²	semidirect
159. #65016	C₂²	semidirect
160. #65016	C₂²	semidirect
161. #65016	C₂²	semidirect
162. #65016	C₂²	semidirect
163. #65015	C₂²	semidirect
164. #65015	C₂²	semidirect
165. #65015	C₂²	semidirect
166. #65015	C₂²	semidirect
167. #65015	C₂²	semidirect
168. #65015	C₂²	semidirect
169. #65015	C₂²	semidirect
170. #65015	C₂²	semidirect
171. #65014	C₂²	semidirect
172. #65014	C₂²	semidirect
173. #65014	C₂²	semidirect
174. #65014	C₂²	semidirect
175. D₅×C₂²⋊C₈	C₂²	semidirect
176. D₅×C₂²⋊C₈	C₂²	semidirect
177. D₅×C₂²⋊C₈	C₂²	semidirect
178. D₅×C₂²⋊C₈	C₂²	semidirect
179. D₅×C₂²⋊C₈	C₂²	semidirect
180. D₅×C₂²⋊C₈	C₂²	semidirect
181. D₅×C₂²⋊C₈	C₂²	semidirect
182. D₅×C₂²⋊C₈	C₂²	semidirect
183. #65009	C₂²	semidirect
184. #65009	C₂²	semidirect
185. #65009	C₂²	semidirect
186. #65009	C₂²	semidirect
187. #64996	C₂²	semidirect
190. #64995	C₂²	semidirect
191. #64995	C₂²	semidirect
192. #64994	C₂²	semidirect
193. #64994	C₂²	semidirect
194. D₅×#97	C₂²	semidirect
195. #64979	C₂²	semidirect
196. #64979	C₂²	semidirect
197. #64978	C₂²	semidirect
198. #64978	C₂²	semidirect
199. #64977	C₂²	semidirect
200. #64977	C₂²	semidirect
201. C₈×D₂₀	C₂²	semidirect
202. C₈×D₂₀	C₂²	semidirect
493. #2981	D₅	semidirect
827. #436	C₂×D₅	semidirect
828. #436	C₂×D₅	semidirect
865. #435	C₂×D₅	semidirect
866. #435	C₂×D₅	semidirect
867. #435	C₂×D₅	semidirect
868. #435	C₂×D₅	semidirect
879. C₈×D₄	C₂×D₅	semidirect
880. C₈×D₄	C₂×D₅	semidirect
894. #432	C₂×D₅	semidirect
896. #431	C₂×D₅	semidirect
921. #408	C₂×D₅	semidirect
922. #408	C₂×D₅	semidirect
923. #408	C₂×D₅	semidirect
924. #408	C₂×D₅	semidirect
1877. C₅	#60240	semidirect

Maximal subgroups

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

subgroup	index
#10618139	2
C₅×#2981	2
#10615010	2
#10611276	2
#10611275	2
#10611270	2
#10611268	2
#10611223	2
#10611222	2
#10611217	2
#10611216	2
#10611215	2
#10611214	2
#10611211	2
D₅×#435	2
#10611160	2
#10611159	2
#10611154	2
#10611152	2
#10611066	2
#10611063	2
#10611018	2
#10611016	2
#10610397	2
#10610396	2
#10610395	2
#10610394	2
#10610393	2
D₅×#408	2
#60240	5