Subgroups — #12985360

Order 1280.

2282 conjugacy classes of subgroups.

The subgroup lattice has 1974 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618606	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618521	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3294	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615257	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615222	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613308	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613301	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613035	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613033	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613020	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613018	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612713	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612683	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612461	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612458	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612453	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612451	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612089	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612072	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611758	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611743	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611736	C₂	1	1	yes	maximal, characteristic, complemented
23	D₅×#447	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611337	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611325	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611166	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611160	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610492	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610489	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610478	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65065	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#4144	C₂²	1	1	yes	characteristic, complemented
33	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
34	C₅×#547	C₂²	1	1	yes	characteristic, complemented
35	C₅×D₄²	C₂²	1	1	yes	characteristic, complemented
36	#66167	—	2	1	no	—
37	#66163	—	2	1	no	—
38	#66140	C₂²	1	1	yes	characteristic, complemented
39	D₄×C₂²⋊D₅	—	2	1	no	—
40	D₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
41	C₂×#4083	—	2	1	no	—
42	C₂²×#687	C₂²	1	1	yes	characteristic, complemented
43	C₂×#4078	C₂²	1	1	yes	characteristic, complemented
44	C₂×#4058	C₂²	1	1	yes	characteristic, complemented
45	C₂×#4057	C₂²	1	1	yes	characteristic, complemented
46	C₂×D₅×D₈	C₂²	1	1	yes	characteristic, complemented
47	C₂×D₅×D₈	C₂²	1	1	yes	characteristic, complemented
48	C₂×#4050	C₂²	1	1	yes	characteristic, complemented
49	C₂²×#677	C₂²	1	1	yes	characteristic, complemented
50	#66067	C₂²	1	1	yes	characteristic, complemented
51	#66064	C₂²	1	1	yes	characteristic, complemented
52	#66051	C₂²	1	1	yes	characteristic
53	#66049	C₂²	1	1	yes	characteristic, complemented
54	#66001	—	2	1	no	—
55	#65999	—	2	1	no	—
56	#65991	—	2	1	no	—
57	#65988	—	2	1	no	—
58	#65981	—	2	1	no	—
59	#65968	—	2	1	no	—
60	#65946	C₂²	1	1	yes	characteristic
61	#65946	C₂²	1	1	yes	characteristic, complemented
62	#65944	—	2	1	no	—
63	#65943	C₂²	1	1	yes	characteristic, complemented
64	#65942	C₂²	1	1	yes	characteristic, complemented
65	#65941	C₂²	1	1	yes	characteristic, complemented
66	#65940	C₂²	1	1	yes	characteristic
67	#65939	—	2	1	no	—
68	D₅×#121	C₂²	1	1	yes	characteristic, complemented
69	#65932	C₂²	1	1	yes	characteristic, complemented
70	#65925	—	2	1	no	—
71	#65924	—	2	1	no	—
72	#65923	—	2	1	no	—
73	D₅×#120	—	2	1	no	—
74	#65895	C₂²	1	1	yes	characteristic, complemented
75	#65888	C₂²	1	1	yes	characteristic
76	#65888	C₂²	1	1	yes	characteristic, complemented
77	#65886	C₂²	1	1	yes	characteristic, complemented
78	#65884	C₂²	1	1	yes	characteristic, complemented
79	#65881	C₂²	1	1	yes	characteristic
80	#65879	C₂²	1	1	yes	characteristic, complemented
81	#65845	C₂²	1	1	yes	characteristic, complemented
82	#65844	C₂²	1	1	yes	characteristic, complemented
83	C₂×#4043	C₂²	1	1	yes	characteristic, complemented
84	#65841	C₂²	1	1	yes	characteristic, complemented
85	C₅×#486	C₂²	1	1	yes	characteristic, complemented
86	C₅×#480	C₂²	1	1	yes	characteristic, complemented
87	C₅×#480	C₂²	1	1	yes	characteristic, complemented
88	C₅×#474	C₂²	1	1	yes	characteristic, complemented
89	C₅×#466	C₂²	1	1	yes	characteristic, complemented
90	C₅×#466	C₂²	1	1	yes	characteristic, complemented
91	C₅×#459	C₂²	1	1	yes	characteristic, complemented
92	C₅×#447	C₂²	1	1	yes	characteristic, complemented
93	C₅×#447	C₂²	1	1	yes	characteristic, complemented
94	C₄×C₅×D₈	C₂²	1	1	yes	characteristic, complemented
95	C₅×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
96	C₂×C₅×#102	C₂²	1	1	yes	characteristic, complemented
97	C₂×C₅×#102	C₂²	1	1	yes	characteristic, complemented
98	#65507	C₂²	1	1	yes	characteristic, complemented
99	#65506	C₂²	1	1	yes	characteristic, complemented
100	#65447	C₂²	1	1	yes	characteristic, complemented
101	#65447	C₂²	1	1	yes	characteristic, complemented
102	#65445	C₂²	1	1	yes	characteristic
103	#65445	C₂²	1	1	yes	characteristic, complemented
104	#65445	C₂²	1	1	yes	characteristic, complemented
105	#65444	C₂²	1	1	yes	characteristic, complemented
106	#65443	C₂²	1	1	yes	characteristic, complemented
107	#65442	C₂²	1	1	yes	characteristic, complemented
108	#65403	C₂²	1	1	yes	characteristic, complemented
109	#65403	C₂²	1	1	yes	characteristic, complemented
110	#65400	C₂²	1	1	yes	characteristic, complemented
111	#65399	C₂²	1	1	yes	characteristic, complemented
112	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
113	C₂×#3952	C₂²	1	1	yes	characteristic, complemented
114	#65378	C₂²	1	1	yes	characteristic, complemented
115	#65373	C₂²	1	1	yes	characteristic, complemented
116	#65364	C₂²	1	1	yes	characteristic, complemented
117	#65363	C₂²	1	1	yes	characteristic, complemented
118	#65331	C₂²	1	1	yes	characteristic, complemented
119	#65330	C₂²	1	1	yes	characteristic, complemented
120	#65329	C₂²	1	1	yes	characteristic, complemented
121	#65328	C₂²	1	1	yes	characteristic, complemented
122	#65327	C₂²	1	1	yes	characteristic, complemented
123	#65326	C₂²	1	1	yes	characteristic, complemented
124	#65326	C₂²	1	1	yes	characteristic, complemented
125	#65325	C₂²	1	1	yes	characteristic, complemented
126	#65307	C₂²	1	1	yes	characteristic, complemented
127	#65305	C₂²	1	1	yes	characteristic, complemented
128	#65305	C₂²	1	1	yes	characteristic, complemented
129	#65303	C₂²	1	1	yes	characteristic, complemented
130	#65300	C₂²	1	1	yes	characteristic, complemented
131	#65260	C₂²	1	1	yes	characteristic, complemented
132	#65257	C₂²	1	1	yes	characteristic, complemented
133	#65255	C₂²	1	1	yes	characteristic, complemented
134	C₂×#3941	C₂²	1	1	yes	characteristic, complemented
135	#65179	C₂²	1	1	yes	characteristic, complemented
136	#65178	C₂²	1	1	yes	characteristic, complemented
137	#65177	C₂²	1	1	yes	characteristic, complemented
138	#65177	C₂²	1	1	yes	characteristic, complemented
139	#65176	C₂²	1	1	yes	characteristic, complemented
140	#65176	C₂²	1	1	yes	characteristic, complemented
141	#65175	C₂²	1	1	yes	characteristic, complemented
142	#65174	C₂²	1	1	yes	characteristic, complemented
143	#65173	C₂²	1	1	yes	characteristic, complemented
144	#65172	C₂²	1	1	yes	characteristic, complemented
145	#65171	C₂²	1	1	yes	characteristic, complemented
146	#65161	C₂²	1	1	yes	characteristic, complemented
147	#65134	C₂²	1	1	yes	characteristic, complemented
148	#65133	C₂²	1	1	yes	characteristic, complemented
149	#65129	C₂²	1	1	yes	characteristic, complemented
150	#65125	C₂²	1	1	yes	characteristic, complemented
151	#65076	C₂²	1	1	yes	characteristic, complemented
152	#65076	C₂²	1	1	yes	characteristic, complemented
153	#65075	C₂²	1	1	yes	characteristic, complemented
154	#65074	C₂²	1	1	yes	characteristic, complemented
155	#65072	C₂²	1	1	yes	characteristic, complemented
156	#65072	C₂²	1	1	yes	characteristic, complemented
157	#65072	C₂²	1	1	yes	characteristic, complemented
158	#65071	C₂²	1	1	yes	characteristic, complemented
159	#65070	C₂²	1	1	yes	characteristic, complemented
160	#65070	C₂²	1	1	yes	characteristic, complemented
161	#65070	C₂²	1	1	yes	characteristic, complemented
162	#65068	C₂²	1	1	yes	characteristic, complemented
163	#65067	C₂²	1	1	yes	characteristic, complemented
164	#65067	C₂²	1	1	yes	characteristic, complemented
165	#65067	C₂²	1	1	yes	characteristic, complemented
166	#65066	C₂²	1	1	yes	characteristic, complemented
167	#65066	C₂²	1	1	yes	characteristic, complemented
168	#65065	C₂²	1	1	yes	characteristic, complemented
169	#65065	C₂²	1	1	yes	characteristic, complemented
170	#65065	C₂²	1	1	yes	characteristic, complemented
171	#65065	C₂²	1	1	yes	characteristic, complemented
172	#65065	C₂²	1	1	yes	characteristic, complemented
173	#65065	C₂²	1	1	yes	characteristic, complemented
174	#65065	C₂²	1	1	yes	characteristic, complemented
175	#65065	C₂²	1	1	yes	characteristic, complemented
176	#65065	C₂²	1	1	yes	characteristic, complemented
177	#65065	C₂²	1	1	yes	characteristic, complemented
178	#65062	C₂²	1	1	yes	characteristic
179	#65062	C₂²	1	1	yes	characteristic, complemented
180	#65062	C₂²	1	1	yes	characteristic, complemented
181	#65060	C₂²	1	1	yes	characteristic, complemented
182	D₅×#102	C₂²	1	1	yes	characteristic, complemented
183	D₅×#102	C₂²	1	1	yes	characteristic, complemented
184	D₅×#102	C₂²	1	1	yes	characteristic, complemented
185	#65056	C₂²	1	1	yes	characteristic, complemented
186	#65054	C₂²	1	1	yes	characteristic, complemented
187	#65051	C₂²	1	1	yes	characteristic, complemented
188	#65050	C₂²	1	1	yes	characteristic, complemented
189	#65049	C₂²	1	1	yes	characteristic, complemented
190	#65047	C₂²	1	1	yes	characteristic, complemented
191	#65028	C₂²	1	1	yes	characteristic, complemented
192	#65023	C₂²	1	1	yes	characteristic, complemented
193	#65022	C₂²	1	1	yes	characteristic, complemented
194	#65021	C₂²	1	1	yes	characteristic, complemented
195	#65017	C₂²	1	1	yes	characteristic, complemented
196	#65016	C₂²	1	1	yes	characteristic, complemented
197	#65014	C₂²	1	1	yes	characteristic, complemented
198	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
199	#64985	C₂²	1	1	yes	characteristic, complemented
200	C₄×#677	C₂²	1	1	yes	characteristic, complemented
201	#64979	C₂²	1	1	yes	characteristic, complemented
202	C₈×D₂₀	C₂²	1	1	yes	characteristic, complemented
203	#61629	—	5	1	no	maximal, Sylow
204	C₂⁴×D₅	—	2	1	no	—
205	C₂×C₅×#41	—	2	1	no	—
206	C₂²×C₅×D₄	—	2	1	no	—
207	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
208	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
209	C₂²×C₂²⋊D₅	—	2	1	no	—
210	C₂²×C₂²⋊D₅	—	2	1	no	—
211	C₂²×C₂²⋊D₅	—	2	1	no	—
212	C₂²×C₂²⋊D₅	—	2	1	no	—
213	#4144	—	4	2	no	—
214	#4144	—	4	2	no	—
215	C₂×#711	—	2	1	no	—
216	C₂×#711	C₂³	1	1	yes	characteristic
217	C₂×#711	C₂³	1	1	yes	characteristic
218	C₂×#711	C₂³	1	1	yes	characteristic, complemented
219	C₂×D₄×D₅	—	2	1	no	—
220	C₂×D₄×D₅	—	2	1	no	—
221	C₂×D₄×D₅	—	2	1	no	—
222	C₂×D₄×D₅	—	2	1	no	—
223	C₂×D₄×D₅	—	2	1	no	—
224	C₂×D₄×D₅	—	2	1	no	—
225	C₂×D₄×D₅	—	4	2	no	—
226	C₂×D₄×D₅	—	4	2	no	—
227	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
228	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
229	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
230	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
231	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
232	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
233	C₂×#709	—	2	1	no	—
234	C₂×#709	C₂³	1	1	yes	characteristic
235	C₂×#709	C₂³	1	1	yes	characteristic
236	C₂×#709	C₂³	1	1	yes	characteristic, complemented
237	C₂²×D₂₀	C₂³	1	1	yes	characteristic
238	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
239	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
240	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
241	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
242	C₂×C₅×D₈	C₂³	1	1	yes	characteristic, complemented
243	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
244	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic, complemented
245	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
246	C₅×#127	C₂³	1	1	yes	characteristic
247	C₅×#123	—	2	1	no	—
248	C₅×#123	—	2	1	no	—
249	C₅×C₂²⋊Q₈	—	2	1	no	—
250	C₅×#121	—	2	1	no	—
251	C₅×#121	C₂³	1	1	yes	characteristic
252	C₅×#121	C₂³	1	1	yes	characteristic
253	C₅×#121	C₂³	1	1	yes	characteristic
254	C₅×#121	C₂³	1	1	yes	characteristic, complemented
255	C₅×#120	—	2	1	no	—
256	C₅×#120	—	2	1	no	—
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, complemented
260	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
262	#4099	—	2	1	no	—
263	#4099	—	2	1	no	—
264	C₂×C₂²⋊Dic₅	—	2	1	no	—
265	#4093	—	2	1	no	—
266	#4092	—	2	1	no	—
267	#4092	—	2	1	no	—
268	#4092	—	2	1	no	—
269	#4086	—	2	1	no	—
270	#4086	C₂³	1	1	yes	characteristic
271	#4085	—	2	1	no	—
272	#4085	—	2	1	no	—
273	#4085	—	2	1	no	—
274	#4085	—	2	1	no	—
275	#4085	—	2	1	no	—
276	#4085	—	2	1	no	—
277	#4085	—	2	1	no	—
278	#4085	—	2	1	no	—
279	#4085	D₄	1	1	yes	characteristic
280	#4084	—	2	1	no	—
281	#4084	—	2	1	no	—
282	#4084	—	2	1	no	—
283	#4084	—	2	1	no	—
284	#4084	C₂³	1	1	yes	characteristic
285	#4084	C₂³	1	1	yes	characteristic
286	#4084	C₂³	1	1	yes	characteristic
287	#4083	—	2	1	no	—
288	#4083	—	2	1	no	—
289	#4083	—	2	1	no	—
290	#4083	—	2	1	no	—
291	#4083	—	2	1	no	—
292	#4083	—	2	1	no	—
293	#4083	—	2	1	no	—
294	#4083	—	2	1	no	—
295	#4083	—	2	1	no	—
296	#4083	—	2	1	no	—
297	#4083	—	2	1	no	—
298	#4083	D₄	1	1	yes	characteristic
299	#4082	C₂³	1	1	yes	characteristic
300	#4082	C₂³	1	1	yes	characteristic, complemented
301	#4081	—	2	1	no	—
302	D₄×Dic₅	—	2	1	no	—
303	D₄×Dic₅	—	2	1	no	—
304	D₄×Dic₅	C₂³	1	1	yes	characteristic
305	C₂×#687	—	4	2	no	—
306	C₂×#687	C₂³	1	1	yes	characteristic
307	C₂×#687	C₂³	1	1	yes	characteristic
308	C₂×#687	C₂³	1	1	yes	characteristic
309	C₂×#687	C₂³	1	1	yes	characteristic
310	C₂×#687	C₂³	1	1	yes	characteristic, complemented
311	C₂×#687	C₂³	1	1	yes	characteristic, complemented
312	C₂×#687	C₂³	1	1	yes	characteristic, complemented
313	#4078	—	4	2	no	—
314	C₂×#686	C₂³	1	1	yes	characteristic
315	C₂×#686	C₂³	1	1	yes	characteristic
316	C₂×#686	C₂³	1	1	yes	characteristic
317	C₂×#686	C₂³	1	1	yes	characteristic
318	C₂×#686	C₂³	1	1	yes	characteristic, complemented
319	#4076	—	2	1	no	—
320	#4076	—	2	1	no	—
321	#4076	—	2	1	no	—
322	#4076	—	2	1	no	—
323	#4076	C₂³	1	1	yes	characteristic
324	#4076	C₂³	1	1	yes	characteristic
325	#4075	—	2	1	no	—
326	#4075	—	2	1	no	—
327	C₄×C₂²⋊D₅	—	2	1	no	—
328	C₄×C₂²⋊D₅	—	2	1	no	—
329	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
330	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
331	C₂×#685	—	2	1	no	—
332	C₂×#685	—	2	1	no	—
333	C₂×#685	—	2	1	no	—
334	C₂×#685	—	2	1	no	—
335	C₂×C₄⋊Dic₅	—	2	1	no	—
336	#4070	—	2	1	no	—
337	#4070	—	2	1	no	—
338	#4070	C₂³	1	1	yes	characteristic
339	#4070	C₂³	1	1	yes	characteristic, complemented
340	C₂×#681	C₂³	1	1	yes	characteristic, complemented
341	C₂²×#168	C₂³	1	1	yes	characteristic
342	#4058	—	4	2	no	—
343	#4057	—	4	2	no	—
344	D₅×D₈	—	4	2	no	—
345	D₅×D₈	—	4	2	no	—
346	C₂×Dic₂₀	C₂³	1	1	yes	characteristic, complemented
347	C₂×Dic₂₀	C₂³	1	1	yes	characteristic, complemented
348	#4050	—	4	2	no	—
349	C₂×D₄₀	C₂³	1	1	yes	characteristic
350	C₂×D₄₀	C₂³	1	1	yes	characteristic
351	C₂×#677	—	4	2	no	—
352	C₂×#677	C₂³	1	1	yes	characteristic
353	C₂×#677	C₂³	1	1	yes	characteristic
354	C₂×#677	C₂³	1	1	yes	characteristic
355	C₂×#677	C₂³	1	1	yes	characteristic
356	C₂×#677	C₂³	1	1	yes	characteristic, complemented
357	C₂×#676	C₂³	1	1	yes	characteristic, complemented
358	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
359	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
360	C₂×C₈×D₅	C₂³	1	1	yes	characteristic, complemented
361	#4044	—	2	1	no	—
362	#4043	—	2	1	no	—
363	#4043	—	2	1	no	—
364	#4043	—	2	1	no	—
365	#4043	C₂³	1	1	yes	characteristic
366	#4043	C₂³	1	1	yes	characteristic
367	#4043	C₂³	1	1	yes	characteristic
368	#4043	C₂³	1	1	yes	characteristic
369	#4043	C₂³	1	1	yes	characteristic
370	#4043	C₂³	1	1	yes	characteristic, complemented
371	#4042	—	2	1	no	—
372	#4042	—	2	1	no	—
373	#4042	—	2	1	no	—
374	#4042	D₄	1	1	yes	characteristic
375	#4041	—	2	1	no	—
376	#4041	C₂³	1	1	yes	characteristic
377	#4041	C₂³	1	1	yes	characteristic
378	#4041	C₂³	1	1	yes	characteristic, complemented
379	#4040	—	2	1	no	—
380	#4040	—	2	1	no	—
381	#4040	—	2	1	no	—
382	#4040	D₄	1	1	yes	characteristic
383	#4039	—	2	1	no	—
384	#4039	C₂³	1	1	yes	characteristic
385	#4039	C₂³	1	1	yes	characteristic, complemented
386	#4038	C₂³	1	1	yes	characteristic
387	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
388	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
389	#4036	—	2	1	no	—
390	#4035	—	2	1	no	—
391	#4034	C₂³	1	1	yes	characteristic, complemented
392	#4033	C₂³	1	1	yes	characteristic, complemented
393	#4032	—	2	1	no	—
394	#4032	—	2	1	no	—
395	#4031	—	2	1	no	—
396	#4031	—	2	1	no	—
397	#4031	—	2	1	no	—
398	#4031	—	2	1	no	—
399	#4030	—	2	1	no	—
400	#4030	—	2	1	no	—
401	#4030	—	2	1	no	—
402	#4030	—	2	1	no	—
403	#4030	D₄	1	1	yes	characteristic
404	#4029	—	2	1	no	—
405	#4029	—	2	1	no	—
406	#4029	—	2	1	no	—
407	#4029	D₄	1	1	yes	characteristic
408	#4028	—	2	1	no	—
409	#4028	—	2	1	no	—
410	#4028	—	2	1	no	—
411	#4028	—	2	1	no	—
412	#4028	D₄	1	1	yes	characteristic
413	#4027	—	2	1	no	—
414	#4027	—	2	1	no	—
415	#4027	—	2	1	no	—
416	D₅×C₂²⋊C₄	—	2	1	no	—
417	D₅×C₂²⋊C₄	—	2	1	no	—
418	D₅×C₂²⋊C₄	—	2	1	no	—
419	D₅×C₂²⋊C₄	—	2	1	no	—
420	D₅×C₂²⋊C₄	—	2	1	no	—
421	#4025	—	2	1	no	—
422	#4024	—	2	1	no	—
423	#4024	—	2	1	no	—
424	#4024	D₄	1	1	yes	characteristic
425	#4021	C₂³	1	1	yes	characteristic
426	#4021	C₂³	1	1	yes	characteristic, complemented
427	C₄×D₂₀	C₂³	1	1	yes	characteristic
428	C₄×D₂₀	C₂³	1	1	yes	characteristic
429	#4018	C₂³	1	1	yes	characteristic
430	C₄×Dic₁₀	C₂³	1	1	yes	characteristic, complemented
431	C₅×#107	C₂³	1	1	yes	characteristic, complemented
432	C₅×#107	C₂³	1	1	yes	characteristic, complemented
433	C₅×#107	C₂³	1	1	yes	characteristic, complemented
434	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
435	C₅×#102	C₂³	1	1	yes	characteristic
436	C₅×#102	C₂³	1	1	yes	characteristic
437	C₅×#102	C₂³	1	1	yes	characteristic
438	C₅×#102	C₂³	1	1	yes	characteristic
439	C₅×#102	C₂³	1	1	yes	characteristic
440	C₅×#102	C₂³	1	1	yes	characteristic
441	C₅×#102	C₂³	1	1	yes	characteristic, complemented
442	C₅×#102	C₂³	1	1	yes	characteristic, complemented
443	C₅×#102	C₂³	1	1	yes	characteristic, complemented
444	C₅×#102	C₂³	1	1	yes	characteristic, complemented
445	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
446	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
447	C₄×C₅×C₈	C₂³	1	1	yes	characteristic, complemented
448	#3964	C₂³	1	1	yes	characteristic
449	#3964	C₂³	1	1	yes	characteristic
450	#3964	C₂³	1	1	yes	characteristic, complemented
451	#3964	C₂³	1	1	yes	characteristic, complemented
452	C₂²⋊#168	C₂³	1	1	yes	characteristic
453	C₂²⋊#168	C₂³	1	1	yes	characteristic, complemented
454	#3953	C₂³	1	1	yes	characteristic
455	#3953	C₂³	1	1	yes	characteristic
456	#3953	C₂³	1	1	yes	characteristic, complemented
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, complemented
464	#3952	C₂³	1	1	yes	characteristic, complemented
465	#3949	C₂³	1	1	yes	characteristic, complemented
466	#3948	C₂³	1	1	yes	characteristic, complemented
467	#3948	C₂³	1	1	yes	characteristic, complemented
468	#3948	C₂³	1	1	yes	characteristic, complemented
469	#3947	C₂³	1	1	yes	characteristic, complemented
470	#3946	C₂³	1	1	yes	characteristic, complemented
471	#3946	C₂³	1	1	yes	characteristic, complemented
472	C₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
473	#3942	C₂³	1	1	yes	characteristic, complemented
474	#3942	C₂³	1	1	yes	characteristic, complemented
475	#3942	C₂³	1	1	yes	characteristic, complemented
476	#3942	C₂³	1	1	yes	characteristic, complemented
477	#3942	C₂³	1	1	yes	characteristic, complemented
478	#3941	C₂³	1	1	yes	characteristic
479	#3941	C₂³	1	1	yes	characteristic
480	#3941	C₂³	1	1	yes	characteristic
481	#3941	C₂³	1	1	yes	characteristic
482	#3941	C₂³	1	1	yes	characteristic
483	#3941	C₂³	1	1	yes	characteristic
484	#3941	C₂³	1	1	yes	characteristic, complemented
485	#3940	C₂³	1	1	yes	characteristic, complemented
486	#3940	C₂³	1	1	yes	characteristic, complemented
487	#3940	C₂³	1	1	yes	characteristic, complemented
488	#3939	C₂³	1	1	yes	characteristic, complemented
489	C₄⋊#168	C₂³	1	1	yes	characteristic, complemented
490	#3935	C₂³	1	1	yes	characteristic, complemented
491	#3536	—	5	1	no	—
492	#3484	—	5	1	no	—
493	#3314	—	5	1	no	—
494	#3314	—	5	1	no	—
495	#3306	—	5	1	no	—
496	#3306	—	5	1	no	—
497	#3295	—	5	1	no	—
498	#3295	—	5	1	no	—
499	#3294	—	5	1	no	—
500	#3294	D₅	1	1	yes	characteristic, complemented
501	#3282	—	5	1	no	—
502	#3282	—	5	1	no	—
503	#3280	—	5	1	no	—
504	#3280	—	5	1	no	—
505	#3265	—	5	1	no	—
506	#3265	—	5	1	no	—
507	#3264	—	5	1	no	—
508	#3264	—	5	1	no	—
509	#3224	—	5	1	no	—
510	#3224	—	5	1	no	—
511	#3198	—	5	1	no	—
512	#3198	—	5	1	no	—
513	#3190	—	5	1	no	—
514	#3188	—	5	1	no	—
515	#3118	—	5	1	no	—
516	#3118	—	5	1	no	—
517	#3012	—	5	1	no	—
518	#3012	—	5	1	no	—
519	C₂×#450	—	5	1	no	—
520	C₂×#447	—	5	1	no	—
521	#2977	—	5	1	no	—
522	C₂⁴×C₅	—	2	1	no	—
523	C₂⁴×C₅	—	2	1	no	—
524	C₂³×D₅	—	2	1	no	—
525	C₂³×D₅	—	2	1	no	—
526	C₂³×D₅	—	2	1	no	—
527	C₂³×D₅	—	2	1	no	—
528	C₂³×D₅	—	2	1	no	—
529	C₂³×D₅	—	2	1	no	—
530	C₂³×D₅	—	2	1	no	—
531	C₂³×D₅	—	4	4	no	—
532	C₂³×D₅	—	8	2	no	—
533	C₂³×D₅	—	8	2	no	—
534	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
535	C₅×#41	—	8	2	no	—
536	C₂×C₅×Q₈	—	2	1	no	—
537	C₂×C₅×D₄	—	2	2	no	—
538	C₂×C₅×D₄	—	2	2	no	—
539	C₂×C₅×D₄	—	2	1	no	—
540	C₂×C₅×D₄	—	2	1	no	—
541	C₂×C₅×D₄	—	2	1	no	—
542	C₂×C₅×D₄	—	2	1	no	—
543	C₂×C₅×D₄	—	2	1	no	—
544	C₂×C₅×D₄	—	2	1	no	—
545	C₂×C₅×D₄	—	2	1	no	—
546	C₂×C₅×D₄	—	2	1	no	—
547	C₂×C₅×D₄	—	4	1	no	—
548	C₂×C₅×D₄	—	4	1	no	—
549	C₂×C₅×D₄	—	8	2	no	—
550	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
551	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
552	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
553	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
554	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄×C₅	—	2	1	no	—
556	C₂²×C₄×C₅	—	2	1	no	—
557	C₂²×C₄×C₅	—	2	1	no	—
558	C₂²×C₄×C₅	—	2	1	no	—
559	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
560	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
561	C₂×C₂²⋊D₅	—	2	1	no	—
562	C₂×C₂²⋊D₅	—	2	1	no	—
563	C₂×C₂²⋊D₅	—	2	1	no	—
564	C₂×C₂²⋊D₅	—	2	1	no	—
565	C₂×C₂²⋊D₅	—	2	1	no	—
566	C₂×C₂²⋊D₅	—	2	1	no	—
567	C₂×C₂²⋊D₅	—	2	1	no	—
568	C₂×C₂²⋊D₅	—	2	1	no	—
569	C₂×C₂²⋊D₅	—	2	1	no	—
570	C₂×C₂²⋊D₅	—	2	1	no	—
571	C₂×C₂²⋊D₅	—	2	1	no	—
572	C₂×C₂²⋊D₅	—	2	1	no	—
573	C₂×C₂²⋊D₅	—	2	1	no	—
574	C₂×C₂²⋊D₅	—	2	1	no	—
575	C₂×C₂²⋊D₅	—	2	1	no	—
576	C₂×C₂²⋊D₅	—	2	1	no	—
577	C₂×C₂²⋊D₅	—	2	1	no	—
578	C₂×C₂²⋊D₅	—	2	1	no	—
579	C₂×C₂²⋊D₅	—	4	4	no	—
580	C₂×C₂²⋊D₅	—	4	4	no	—
581	C₂×C₂²⋊D₅	—	4	4	no	—
582	C₂×C₂²⋊D₅	—	8	2	no	—
583	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
584	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
585	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
586	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
587	C₂²×Dic₅	—	2	1	no	—
588	C₂²×Dic₅	—	2	1	no	—
589	C₂²×Dic₅	—	2	1	no	—
590	C₂²×Dic₅	—	2	1	no	—
591	C₂²×Dic₅	—	2	1	no	—
592	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
593	#711	—	2	2	no	—
594	#711	—	4	1	no	—
595	#711	—	4	1	no	—
596	#711	—	4	1	no	—
597	#711	—	4	1	no	—
598	#711	—	4	1	no	—
599	#711	—	4	4	no	—
600	D₄×D₅	—	2	2	no	—
601	D₄×D₅	—	2	2	no	—
602	D₄×D₅	—	2	2	no	—
603	D₄×D₅	—	2	2	no	—
604	D₄×D₅	—	2	2	no	—
605	D₄×D₅	—	4	1	no	—
606	D₄×D₅	—	4	1	no	—
607	D₄×D₅	—	4	1	no	—
608	D₄×D₅	—	4	1	no	—
609	D₄×D₅	—	4	1	no	—
610	D₄×D₅	—	4	1	no	—
611	D₄×D₅	—	4	1	no	—
612	D₄×D₅	—	4	4	no	—
613	D₄×D₅	—	4	4	no	—
614	D₄×D₅	—	4	4	no	—
615	D₄×D₅	—	8	2	no	—
616	D₄×D₅	—	8	2	no	—
617	D₄×D₅	—	8	2	no	—
618	#709	—	2	2	no	—
619	#709	—	4	1	no	—
620	#709	—	4	1	no	—
621	#709	—	4	1	no	—
622	#709	—	4	1	no	—
623	#709	—	4	1	no	—
624	#709	—	8	2	no	—
625	C₂×D₂₀	—	2	2	no	—
626	C₂×D₂₀	—	2	1	no	—
627	C₂×D₂₀	—	2	1	no	—
628	C₂×D₂₀	—	2	1	no	—
629	C₂×D₂₀	—	2	1	no	—
630	C₂×D₂₀	—	4	1	no	—
631	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
632	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
633	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
634	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
635	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
636	C₂×C₄×D₅	—	2	1	no	—
637	C₂×C₄×D₅	—	2	1	no	—
638	C₂×C₄×D₅	—	2	1	no	—
639	C₂×C₄×D₅	—	2	1	no	—
640	C₂×C₄×D₅	—	2	1	no	—
641	C₂×C₄×D₅	—	2	1	no	—
642	C₂×C₄×D₅	—	2	1	no	—
643	C₂×C₄×D₅	—	4	1	no	—
644	C₂×C₄×D₅	—	4	1	no	—
645	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
646	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
647	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
648	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
649	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
650	C₂×Dic₁₀	—	2	1	no	—
651	C₂×Dic₁₀	—	2	1	no	—
652	C₂×Dic₁₀	—	4	1	no	—
653	C₂×Dic₁₀	—	4	1	no	—
654	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
655	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
656	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
657	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
658	C₅×D₈	—	2	2	no	—
659	C₅×D₈	—	4	1	no	—
660	C₅×D₈	—	4	1	no	—
661	C₂×C₅×C₈	—	4	1	no	—
662	C₂×C₅×C₈	—	4	1	no	—
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	C₅×C₄⋊C₄	—	2	1	no	—
668	C₅×C₄⋊C₄	—	2	1	no	—
669	C₅×C₄⋊C₄	—	2	1	no	—
670	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
671	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
672	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
673	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
674	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
675	C₅×C₂²⋊C₄	—	2	1	no	—
676	C₅×C₂²⋊C₄	—	2	1	no	—
677	C₅×C₂²⋊C₄	—	2	1	no	—
678	C₅×C₂²⋊C₄	—	2	1	no	—
679	C₅×C₂²⋊C₄	—	2	1	no	—
680	C₅×C₂²⋊C₄	—	2	1	no	—
681	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
682	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
683	C₄²×C₅	C₂⁴	1	1	yes	characteristic
684	C₂²⋊Dic₅	—	2	1	no	—
685	C₂²⋊Dic₅	—	2	1	no	—
686	C₂²⋊Dic₅	—	2	1	no	—
687	C₂²⋊Dic₅	—	2	1	no	—
688	C₂²⋊Dic₅	—	2	1	no	—
689	C₂²⋊Dic₅	—	2	1	no	—
690	C₂²⋊Dic₅	—	2	1	no	—
691	C₂²⋊Dic₅	—	2	1	no	—
692	C₂²⋊Dic₅	—	2	1	no	—
693	C₂²⋊Dic₅	—	2	1	no	—
694	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
695	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
696	#687	—	2	2	no	—
697	#687	—	2	2	no	—
698	#687	—	4	1	no	—
699	#687	—	4	1	no	—
700	#687	—	4	1	no	—
701	#687	—	4	1	no	—
702	#687	—	4	1	no	—
703	#686	—	2	2	no	—
704	#686	—	2	2	no	—
705	#686	—	4	1	no	—
706	#686	—	4	1	no	—
707	#686	—	4	1	no	—
708	#685	—	2	1	no	—
709	#685	—	2	1	no	—
710	#685	—	2	1	no	—
711	#685	—	2	1	no	—
712	#685	—	2	1	no	—
713	#685	—	2	1	no	—
714	#685	—	2	1	no	—
715	#685	—	2	1	no	—
716	#685	—	2	1	no	—
717	#685	—	2	1	no	—
718	#685	—	2	1	no	—
719	#685	—	2	1	no	—
720	#685	—	2	1	no	—
721	#685	—	2	1	no	—
722	#685	—	2	1	no	—
723	#685	—	2	1	no	—
724	#685	—	2	1	no	—
725	#685	—	2	1	no	—
726	#685	—	2	1	no	—
727	#685	C₂×D₄	1	1	yes	characteristic
728	#685	C₂×D₄	1	1	yes	characteristic
729	#685	C₂×D₄	1	1	yes	characteristic
730	#685	C₂×D₄	1	1	yes	characteristic
731	#685	C₂×D₄	1	1	yes	characteristic
732	#685	C₂×D₄	1	1	yes	characteristic
733	C₄⋊Dic₅	—	2	1	no	—
734	C₄⋊Dic₅	—	2	1	no	—
735	C₄⋊Dic₅	—	2	1	no	—
736	C₄⋊Dic₅	—	2	1	no	—
737	C₄⋊Dic₅	—	2	1	no	—
738	C₄⋊Dic₅	—	2	1	no	—
739	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
740	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
741	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
742	#683	—	2	1	no	—
743	#683	—	2	1	no	—
744	#683	—	2	1	no	—
745	#683	—	2	1	no	—
746	#683	—	2	1	no	—
747	#683	—	2	1	no	—
748	#683	—	2	1	no	—
749	#683	C₂×D₄	1	1	yes	characteristic
750	#683	C₂×D₄	1	1	yes	characteristic
751	#683	C₂×D₄	1	1	yes	characteristic
752	#683	C₂×D₄	1	1	yes	characteristic
753	C₄×Dic₅	—	2	1	no	—
754	C₄×Dic₅	—	2	1	no	—
755	C₄×Dic₅	—	2	1	no	—
756	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
757	#681	—	4	1	no	—
758	C₂×#168	—	4	1	no	—
759	C₂×#168	C₂⁴	1	1	yes	characteristic
760	C₂×#168	C₂⁴	1	1	yes	characteristic
761	C₂×#168	C₂⁴	1	1	yes	characteristic
762	C₂×#168	C₂⁴	1	1	yes	characteristic
763	Dic₂₀	—	4	1	no	—
764	Dic₂₀	—	4	1	no	—
765	D₄₀	—	2	2	no	—
766	D₄₀	—	4	1	no	—
767	#677	—	2	2	no	—
768	#677	—	2	2	no	—
769	#677	—	4	1	no	—
770	#677	—	4	1	no	—
771	#677	—	4	1	no	—
772	#676	—	4	1	no	—
773	C₈×D₅	—	4	1	no	—
774	C₈×D₅	—	4	1	no	—
775	C₈×D₅	—	4	1	no	—
776	C₂×H(5,𝔽₂)	—	5	1	no	—
777	C₂³×D₄	—	5	1	no	—
778	C₂×AGL(1,ℤ/8)	—	5	1	no	—
779	C₂×AGL(1,ℤ/8)	—	5	1	no	—
780	C₂×#135	—	5	1	no	—
781	C₂×#135	—	5	1	no	—
782	C₂²×SD₁₆	—	5	1	no	—
783	C₂²×SD₁₆	—	5	1	no	—
784	C₂²×D₈	—	5	1	no	—
785	C₂²×D₈	—	5	1	no	—
786	#562	—	10	1	no	—
787	#562	—	10	1	no	—
788	#554	—	5	1	no	—
789	#554	—	5	1	no	—
790	#548	—	5	1	no	—
791	#548	—	5	1	no	—
792	#547	—	5	1	no	—
793	#547	C₂×D₅	1	1	yes	characteristic, complemented
794	#546	—	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	—	10	1	no	—
801	#546	—	10	1	no	—
802	#546	—	10	1	no	—
803	#546	—	10	1	no	—
804	D₄²	—	5	1	no	—
805	D₄²	—	5	1	no	—
806	D₄²	—	5	1	no	—
807	D₄²	—	10	1	no	—
808	D₄²	—	10	1	no	—
809	D₄²	C₂×D₅	1	1	yes	characteristic, complemented
810	#543	—	10	1	no	—
811	#542	—	5	1	no	—
812	#542	—	5	1	no	—
813	#539	—	10	1	no	—
814	#538	—	10	1	no	—
815	#537	—	5	1	no	—
816	#537	—	5	1	no	—
817	#537	—	10	1	no	—
818	#535	—	5	1	no	—
819	#535	—	5	1	no	—
820	#534	—	10	1	no	—
821	#534	—	10	1	no	—
822	#525	—	5	1	no	—
823	#525	—	5	1	no	—
824	C₂×C₂²⋊Q₈	—	5	1	no	—
825	C₂×#121	—	5	1	no	—
826	C₂×#120	—	10	1	no	—
827	C₂×#120	—	10	1	no	—
828	#518	—	5	1	no	—
829	#496	—	5	1	no	—
830	#496	—	5	1	no	—
831	#495	—	5	1	no	—
832	#495	—	5	1	no	—
833	#489	—	5	1	no	—
834	#489	—	5	1	no	—
835	#486	—	5	1	no	—
836	#486	C₂×D₅	1	1	yes	characteristic, complemented
837	#485	—	5	1	no	—
838	#485	—	5	1	no	—
839	#484	—	5	1	no	—
840	#483	—	5	1	no	—
841	#482	—	5	1	no	—
842	#482	—	5	1	no	—
843	#481	—	5	1	no	—
844	#481	—	5	1	no	—
845	#481	—	5	1	no	—
846	#480	—	5	1	no	—
847	#480	C₂×D₅	1	1	yes	characteristic, complemented
848	#480	C₂×D₅	1	1	yes	characteristic, complemented
849	#476	—	5	1	no	—
850	#476	—	5	1	no	—
851	#474	—	5	1	no	—
852	#474	C₂×D₅	1	1	yes	characteristic, complemented
853	#469	—	5	1	no	—
854	#469	—	5	1	no	—
855	#468	—	5	1	no	—
856	#468	—	5	1	no	—
857	#467	—	5	1	no	—
858	#467	—	5	1	no	—
859	#466	—	5	1	no	—
860	#466	—	5	1	no	—
861	#466	C₂×D₅	1	1	yes	characteristic, complemented
862	#466	C₂×D₅	1	1	yes	characteristic, complemented
863	#465	—	5	1	no	—
864	#465	—	5	1	no	—
865	#465	—	5	1	no	—
866	#465	—	5	1	no	—
867	#465	—	5	1	no	—
868	#465	—	5	1	no	—
869	#464	—	5	1	no	—
870	#464	—	5	1	no	—
871	#463	—	5	1	no	—
872	#463	—	5	1	no	—
873	#463	—	5	1	no	—
874	#463	—	5	1	no	—
875	#463	—	5	1	no	—
876	#463	—	5	1	no	—
877	#460	—	5	1	no	—
878	#460	—	5	1	no	—
879	#459	—	5	1	no	—
880	#459	C₂×D₅	1	1	yes	characteristic, complemented
881	#452	—	5	1	no	—
882	#452	—	5	1	no	—
883	#452	—	5	1	no	—
884	#452	—	5	1	no	—
885	#451	—	5	1	no	—
886	#450	—	5	1	no	—
887	#450	—	5	1	no	—
888	#450	—	5	1	no	—
889	#450	—	5	1	no	—
890	#450	—	5	1	no	—
891	#450	—	5	1	no	—
892	#450	—	5	1	no	—
893	#450	—	5	1	no	—
894	#450	—	5	1	no	—
895	#450	—	5	1	no	—
896	#450	—	5	1	no	—
897	#449	—	5	1	no	—
898	#449	—	5	1	no	—
899	#449	—	5	1	no	—
900	#449	—	5	1	no	—
901	#449	—	5	1	no	—
902	#449	—	5	1	no	—
903	#449	—	5	1	no	—
904	#449	—	5	1	no	—
905	#448	—	5	1	no	—
906	#447	—	5	1	no	—
907	#447	—	5	1	no	—
908	#447	—	5	1	no	—
909	#447	—	5	1	no	—
910	#447	—	5	1	no	—
911	#447	—	5	1	no	—
912	#447	—	5	1	no	—
913	#447	—	5	1	no	—
914	#447	—	5	1	no	—
915	#447	C₂×D₅	1	1	yes	characteristic, complemented
916	#447	C₂×D₅	1	1	yes	characteristic, complemented
917	#442	—	5	1	no	—
918	#442	—	5	1	no	—
919	#440	—	5	1	no	—
920	#440	—	5	1	no	—
921	C₄×SD₁₆	—	5	1	no	—
922	C₄×SD₁₆	—	5	1	no	—
923	C₄×D₈	—	5	1	no	—
924	C₄×D₈	C₂×D₅	1	1	yes	characteristic, complemented
925	#435	—	5	1	no	—
926	#435	—	5	1	no	—
927	#435	—	5	1	no	—
928	#435	—	5	1	no	—
929	C₈×D₄	—	5	1	no	—
930	C₈×D₄	—	5	1	no	—
931	C₈×D₄	—	5	1	no	—
932	C₈×D₄	C₂×D₅	1	1	yes	characteristic, complemented
933	#433	—	5	1	no	—
934	#433	—	5	1	no	—
935	#417	—	5	1	no	—
936	#417	—	5	1	no	—
937	C₂×#102	—	5	1	no	—
938	C₂×#102	—	5	1	no	—
939	C₂×#102	—	5	1	no	—
940	C₂×#102	—	5	1	no	—
941	C₂×#102	C₂×D₅	1	1	yes	characteristic, complemented
942	C₂×#102	C₂×D₅	1	1	yes	characteristic, complemented
943	#408	—	5	1	no	—
944	#408	—	5	1	no	—
945	C₂×C₂²⋊C₈	—	5	1	no	—
946	C₂×C₂²⋊C₈	—	5	1	no	—
947	C₂³×C₅	—	2	1	no	—
948	C₂³×C₅	—	2	1	no	—
949	C₂³×C₅	—	2	1	no	—
950	C₂³×C₅	—	2	1	no	—
951	C₂³×C₅	—	4	2	no	—
952	C₂³×C₅	—	4	2	no	—
953	C₂³×C₅	—	4	2	no	—
954	C₂³×C₅	—	8	1	no	—
955	C₂³×C₅	—	8	1	no	—
956	C₂³×C₅	—	8	1	no	—
957	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
958	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
959	C₂²×D₅	—	2	2	no	—
960	C₂²×D₅	—	2	1	no	—
961	C₂²×D₅	—	2	4	no	—
962	C₂²×D₅	—	2	2	no	—
963	C₂²×D₅	—	2	1	no	—
964	C₂²×D₅	—	2	1	no	—
965	C₂²×D₅	—	4	1	no	—
966	C₂²×D₅	—	4	2	no	—
967	C₂²×D₅	—	4	2	no	—
968	C₂²×D₅	—	4	2	no	—
969	C₂²×D₅	—	4	2	no	—
970	C₂²×D₅	—	4	2	no	—
971	C₂²×D₅	—	4	2	no	—
972	C₂²×D₅	—	4	2	no	—
973	C₂²×D₅	—	4	2	no	—
974	C₂²×D₅	—	4	2	no	—
975	C₂²×D₅	—	8	1	no	—
976	C₂²×D₅	—	8	1	no	—
977	C₂²×D₅	—	8	1	no	—
978	C₂²×D₅	—	8	1	no	—
979	C₂²×D₅	—	8	1	no	—
980	C₂²×D₅	—	8	1	no	—
981	C₂²×D₅	—	8	1	no	—
982	C₂²×D₅	—	8	1	no	—
983	C₂²×D₅	—	8	1	no	—
984	C₂²×D₅	—	8	1	no	—
985	C₂²×D₅	—	8	1	no	—
986	C₂²×D₅	—	8	16	no	—
987	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
988	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
989	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
990	C₅×Q₈	—	8	1	no	—
991	C₅×D₄	—	2	2	no	—
992	C₅×D₄	—	2	1	no	—
993	C₅×D₄	—	2	1	no	—
994	C₅×D₄	—	2	1	no	—
995	C₅×D₄	—	2	1	no	—
996	C₅×D₄	—	2	1	no	—
997	C₅×D₄	—	2	1	no	—
998	C₅×D₄	—	2	1	no	—
999	C₅×D₄	—	4	2	no	—
1000	C₅×D₄	—	4	2	no	—
1001	C₅×D₄	—	4	2	no	—
1002	C₅×D₄	—	4	2	no	—
1003	C₅×D₄	—	8	1	no	—
1004	C₅×D₄	—	8	1	no	—
1005	C₅×D₄	—	8	1	no	—
1006	C₅×D₄	—	8	1	no	—
1007	C₅×D₄	H(5,𝔽₂)	1	2	yes	—
1008	C₂×C₄×C₅	—	2	1	no	—
1009	C₂×C₄×C₅	—	2	1	no	—
1010	C₂×C₄×C₅	—	2	1	no	—
1011	C₂×C₄×C₅	—	2	1	no	—
1012	C₂×C₄×C₅	—	2	1	no	—
1013	C₂×C₄×C₅	—	2	1	no	—
1014	C₂×C₄×C₅	—	2	1	no	—
1015	C₂×C₄×C₅	—	2	1	no	—
1016	C₂×C₄×C₅	—	4	2	no	—
1017	C₂×C₄×C₅	—	8	1	no	—
1018	C₂×C₄×C₅	—	8	1	no	—
1019	C₂×C₄×C₅	—	8	1	no	—
1020	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1021	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1022	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1023	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1024	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1025	C₂²⋊D₅	—	2	4	no	—
1026	C₂²⋊D₅	—	2	2	no	—
1027	C₂²⋊D₅	—	2	2	no	—
1028	C₂²⋊D₅	—	4	1	no	—
1029	C₂²⋊D₅	—	4	1	no	—
1030	C₂²⋊D₅	—	4	2	no	—
1031	C₂²⋊D₅	—	4	2	no	—
1032	C₂²⋊D₅	—	4	2	no	—
1033	C₂²⋊D₅	—	4	2	no	—
1034	C₂²⋊D₅	—	4	2	no	—
1035	C₂²⋊D₅	—	4	2	no	—
1036	C₂²⋊D₅	—	4	2	no	—
1037	C₂²⋊D₅	—	4	2	no	—
1038	C₂²⋊D₅	—	4	2	no	—
1039	C₂²⋊D₅	—	8	1	no	—
1040	C₂²⋊D₅	—	8	1	no	—
1041	C₂²⋊D₅	—	8	1	no	—
1042	C₂²⋊D₅	—	8	1	no	—
1043	C₂²⋊D₅	—	8	1	no	—
1044	C₂²⋊D₅	—	8	1	no	—
1045	C₂²⋊D₅	—	8	1	no	—
1046	C₂²⋊D₅	—	8	1	no	—
1047	C₂×Dic₅	—	2	1	no	—
1048	C₂×Dic₅	—	2	1	no	—
1049	C₂×Dic₅	—	2	1	no	—
1050	C₂×Dic₅	—	2	1	no	—
1051	C₂×Dic₅	—	2	1	no	—
1052	C₂×Dic₅	—	4	1	no	—
1053	C₂×Dic₅	—	4	2	no	—
1054	C₂×Dic₅	—	4	2	no	—
1055	C₂×Dic₅	—	8	1	no	—
1056	C₂×Dic₅	—	8	1	no	—
1057	C₂×Dic₅	—	8	1	no	—
1058	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1059	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1060	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1061	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1062	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1063	D₂₀	—	2	2	no	—
1064	D₂₀	—	2	1	no	—
1065	D₂₀	—	2	1	no	—
1066	D₂₀	—	2	1	no	—
1067	D₂₀	—	2	1	no	—
1068	D₂₀	—	2	1	no	—
1069	D₂₀	—	4	1	no	—
1070	D₂₀	—	4	2	no	—
1071	D₂₀	—	8	1	no	—
1072	D₂₀	—	8	1	no	—
1073	D₂₀	—	8	1	no	—
1074	D₂₀	H(5,𝔽₂)	1	2	yes	—
1075	C₄×D₅	—	2	1	no	—
1076	C₄×D₅	—	2	1	no	—
1077	C₄×D₅	—	2	1	no	—
1078	C₄×D₅	—	2	1	no	—
1079	C₄×D₅	—	2	1	no	—
1080	C₄×D₅	—	2	1	no	—
1081	C₄×D₅	—	4	1	no	—
1082	C₄×D₅	—	4	1	no	—
1083	C₄×D₅	—	4	2	no	—
1084	C₄×D₅	—	8	1	no	—
1085	C₄×D₅	—	8	1	no	—
1086	C₄×D₅	—	8	1	no	—
1087	C₄×D₅	—	8	1	no	—
1088	C₄×D₅	—	8	1	no	—
1089	C₄×D₅	—	8	1	no	—
1090	Dic₁₀	—	2	1	no	—
1091	Dic₁₀	—	2	1	no	—
1092	Dic₁₀	—	2	1	no	—
1093	Dic₁₀	—	2	1	no	—
1094	Dic₁₀	—	2	1	no	—
1095	Dic₁₀	—	2	1	no	—
1096	Dic₁₀	—	4	1	no	—
1097	Dic₁₀	—	8	1	no	—
1098	Dic₁₀	—	8	1	no	—
1099	C₅×C₈	—	2	1	no	—
1100	C₅×C₈	—	2	1	no	—
1101	C₅×C₈	—	2	1	no	—
1102	C₅×C₈	—	2	1	no	—
1103	#168	—	2	1	no	—
1104	#168	—	2	1	no	—
1105	#168	—	2	1	no	—
1106	#168	—	2	1	no	—
1107	C₂⁵	—	10	1	no	—
1108	H(5,𝔽₂)	—	20	2	no	—
1109	H(5,𝔽₂)	—	20	2	no	—
1110	C₂×#41	—	2	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	—	10	1	no	—
1118	C₂×#41	—	10	1	no	—
1119	C₂²×Q₈	—	5	1	no	—
1120	C₂²×D₄	—	2	1	no	—
1121	C₂²×D₄	—	5	1	no	—
1122	C₂²×D₄	—	5	1	no	—
1123	C₂²×D₄	—	5	1	no	—
1124	C₂²×D₄	—	5	1	no	—
1125	C₂²×D₄	—	5	1	no	—
1126	C₂²×D₄	—	5	1	no	—
1127	C₂²×D₄	—	5	1	no	—
1128	C₂²×D₄	—	10	1	no	—
1129	C₂²×D₄	—	10	1	no	—
1130	C₂²×D₄	—	10	1	no	—
1131	C₂²×D₄	—	10	1	no	—
1132	C₂²×D₄	—	10	1	no	—
1133	C₂²×D₄	—	10	1	no	—
1134	C₂²×D₄	—	10	1	no	—
1135	C₂²×D₄	—	10	1	no	—
1136	C₂²×D₄	—	10	1	no	—
1137	C₂²×D₄	—	10	1	no	—
1138	C₂²×D₄	—	20	2	no	—
1139	C₂²×D₄	—	20	2	no	—
1140	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1141	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1142	C₂³×C₄	—	5	1	no	—
1143	AGL(1,ℤ/8)	—	20	2	no	—
1144	AGL(1,ℤ/8)	—	20	2	no	—
1145	#135	—	20	2	no	—
1146	#135	—	20	2	no	—
1147	C₂×Q₁₆	—	5	1	no	—
1148	C₂×Q₁₆	—	5	1	no	—
1149	C₂×SD₁₆	—	5	1	no	—
1150	C₂×SD₁₆	—	5	1	no	—
1151	C₂×SD₁₆	—	5	1	no	—
1152	C₂×SD₁₆	—	5	1	no	—
1153	C₂×SD₁₆	—	5	1	no	—
1154	C₂×SD₁₆	—	5	1	no	—
1155	C₂×SD₁₆	—	5	1	no	—
1156	C₂×SD₁₆	—	5	1	no	—
1157	C₂×SD₁₆	—	5	1	no	—
1158	C₂×SD₁₆	—	5	1	no	—
1159	C₂×SD₁₆	—	5	1	no	—
1160	C₂×SD₁₆	—	5	1	no	—
1161	C₂×SD₁₆	—	20	2	no	—
1162	C₂×SD₁₆	—	20	2	no	—
1163	C₂×D₈	—	5	1	no	—
1164	C₂×D₈	—	5	1	no	—
1165	C₂×D₈	—	5	1	no	—
1166	C₂×D₈	—	5	1	no	—
1167	C₂×D₈	—	5	1	no	—
1168	C₂×D₈	—	5	1	no	—
1169	C₂×D₈	—	5	1	no	—
1170	C₂×D₈	—	20	2	no	—
1171	C₂×D₈	—	20	2	no	—
1172	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1173	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1174	C₂×D₈	C₂²×D₅	1	1	yes	characteristic, complemented
1175	C₂×M₁₆	—	5	1	no	—
1176	C₂×M₁₆	—	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	C₂²×D₅	1	1	yes	characteristic
1182	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1183	C₄⋊Q₈	—	5	1	no	—
1184	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1185	#127	—	5	1	no	—
1186	#127	—	10	1	no	—
1187	#127	C₂²×D₅	1	1	yes	characteristic
1188	#126	—	10	1	no	—
1189	#126	—	10	1	no	—
1190	#125	—	10	1	no	—
1191	#125	—	10	1	no	—
1192	#124	—	5	1	no	—
1193	#124	—	5	1	no	—
1194	#124	—	5	1	no	—
1195	#124	—	5	1	no	—
1196	#124	—	10	1	no	—
1197	#124	—	10	1	no	—
1198	#124	—	10	1	no	—
1199	#124	—	10	1	no	—
1200	#124	—	10	1	no	—
1201	#123	—	2	1	no	—
1202	#123	—	2	1	no	—
1203	#123	—	5	1	no	—
1204	#123	—	5	1	no	—
1205	#123	—	10	1	no	—
1206	#123	—	10	1	no	—
1207	#123	—	10	1	no	—
1208	#123	—	10	1	no	—
1209	#123	—	10	1	no	—
1210	#123	—	10	1	no	—
1211	#123	—	10	1	no	—
1212	#123	—	10	1	no	—
1213	#123	—	10	1	no	—
1214	#123	—	10	1	no	—
1215	#123	—	10	1	no	—
1216	C₂²⋊Q₈	—	2	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	C₂²⋊Q₈	—	5	1	no	—
1225	C₂²⋊Q₈	—	5	1	no	—
1226	C₂²⋊Q₈	—	5	1	no	—
1227	C₂²⋊Q₈	—	10	1	no	—
1228	C₂²⋊Q₈	—	10	1	no	—
1229	C₂²⋊Q₈	—	10	1	no	—
1230	C₂²⋊Q₈	—	10	1	no	—
1231	C₂²⋊Q₈	—	10	1	no	—
1232	C₂²⋊Q₈	—	10	1	no	—
1233	C₂²⋊Q₈	—	10	1	no	—
1234	C₂²⋊Q₈	—	10	1	no	—
1235	C₂²⋊Q₈	—	10	1	no	—
1236	C₂²⋊Q₈	—	10	1	no	—
1237	C₂²⋊Q₈	—	10	1	no	—
1238	C₂²⋊Q₈	—	10	1	no	—
1239	C₂²⋊Q₈	—	10	1	no	—
1240	#121	—	2	1	no	—
1241	#121	—	5	1	no	—
1242	#121	—	5	1	no	—
1243	#121	—	5	1	no	—
1244	#121	—	5	1	no	—
1245	#121	—	5	1	no	—
1246	#121	—	5	1	no	—
1247	#121	—	5	1	no	—
1248	#121	—	5	1	no	—
1249	#121	—	5	1	no	—
1250	#121	—	5	1	no	—
1251	#121	—	10	1	no	—
1252	#121	—	10	1	no	—
1253	#121	—	10	1	no	—
1254	#121	—	10	1	no	—
1255	#121	—	10	1	no	—
1256	#121	—	10	1	no	—
1257	#121	—	10	1	no	—
1258	#121	—	10	1	no	—
1259	#121	—	10	1	no	—
1260	#121	—	10	1	no	—
1261	#121	—	10	1	no	—
1262	#121	—	10	1	no	—
1263	#121	—	10	1	no	—
1264	#121	—	10	1	no	—
1265	#121	—	10	1	no	—
1266	#121	—	10	1	no	—
1267	#121	—	10	1	no	—
1268	#121	—	10	1	no	—
1269	#121	—	10	1	no	—
1270	#121	—	10	1	no	—
1271	#121	—	10	1	no	—
1272	#121	C₂²×D₅	1	1	yes	characteristic
1273	#121	C₂²×D₅	1	1	yes	characteristic
1274	#121	C₂²×D₅	1	1	yes	characteristic
1275	#121	C₂²×D₅	1	1	yes	characteristic, complemented
1276	#120	—	2	1	no	—
1277	#120	—	2	1	no	—
1278	#120	—	5	1	no	—
1279	#120	—	5	1	no	—
1280	#120	—	10	1	no	—
1281	#120	—	10	1	no	—
1282	#120	—	10	1	no	—
1283	#120	—	10	1	no	—
1284	#120	—	10	1	no	—
1285	#120	—	10	1	no	—
1286	#120	—	10	1	no	—
1287	#120	—	10	1	no	—
1288	#120	—	10	1	no	—
1289	#120	—	10	1	no	—
1290	#120	—	10	1	no	—
1291	#120	—	10	1	no	—
1292	#120	—	10	1	no	—
1293	#120	—	10	1	no	—
1294	#120	—	10	1	no	—
1295	#120	—	10	1	no	—
1296	#120	—	10	1	no	—
1297	C₄×Q₈	—	5	1	no	—
1298	C₄×Q₈	—	5	1	no	—
1299	C₄×D₄	—	5	1	no	—
1300	C₄×D₄	—	5	1	no	—
1301	C₄×D₄	—	5	1	no	—
1302	C₄×D₄	—	5	1	no	—
1303	C₄×D₄	—	5	1	no	—
1304	C₄×D₄	—	5	1	no	—
1305	C₄×D₄	—	5	1	no	—
1306	C₄×D₄	—	10	1	no	—
1307	C₄×D₄	—	10	1	no	—
1308	C₄×D₄	—	10	1	no	—
1309	C₄×D₄	—	10	1	no	—
1310	C₄×D₄	—	10	1	no	—
1311	C₄×D₄	—	10	1	no	—
1312	C₄×D₄	—	10	1	no	—
1313	C₄×D₄	—	10	1	no	—
1314	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1315	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1316	C₄×D₄	C₂²×D₅	1	1	yes	characteristic, complemented
1317	#117	—	5	1	no	—
1318	#117	—	5	1	no	—
1319	C₂×C₄⋊C₄	—	5	1	no	—
1320	C₂×C₄⋊C₄	—	5	1	no	—
1321	C₂×C₄⋊C₄	—	10	1	no	—
1322	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1323	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1324	C₂×C₂²⋊C₄	—	10	1	no	—
1325	C₂×C₂²⋊C₄	—	10	1	no	—
1326	C₂×C₂²⋊C₄	—	10	1	no	—
1327	C₂×C₂²⋊C₄	—	10	1	no	—
1328	C₂×C₂²⋊C₄	—	10	1	no	—
1329	C₂×C₂²⋊C₄	—	10	1	no	—
1330	C₂×C₂²⋊C₄	—	10	1	no	—
1331	C₂×C₂²⋊C₄	—	10	1	no	—
1332	C₂×C₂²⋊C₄	—	10	1	no	—
1333	C₂×C₂²⋊C₄	—	10	1	no	—
1334	#107	—	5	1	no	—
1335	#107	C₂²×D₅	1	1	yes	characteristic, complemented
1336	#107	C₂²×D₅	1	1	yes	characteristic, complemented
1337	#107	C₂²×D₅	1	1	yes	characteristic, complemented
1338	#106	—	5	1	no	—
1339	#106	—	5	1	no	—
1340	#106	—	5	1	no	—
1341	#106	—	5	1	no	—
1342	C₄⋊C₈	—	5	1	no	—
1343	C₄⋊C₈	—	5	1	no	—
1344	C₄⋊C₈	—	5	1	no	—
1345	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1346	#103	—	5	1	no	—
1347	#103	—	5	1	no	—
1348	#103	—	5	1	no	—
1349	#103	—	5	1	no	—
1350	#103	—	5	1	no	—
1351	#103	—	5	1	no	—
1352	#103	—	5	1	no	—
1353	#103	—	5	1	no	—
1354	#102	—	5	1	no	—
1355	#102	—	5	1	no	—
1356	#102	—	5	1	no	—
1357	#102	—	5	1	no	—
1358	#102	—	5	1	no	—
1359	#102	—	5	1	no	—
1360	#102	—	5	1	no	—
1361	#102	—	5	1	no	—
1362	#102	—	5	1	no	—
1363	#102	—	5	1	no	—
1364	#102	—	5	1	no	—
1365	#102	—	5	1	no	—
1366	#102	—	5	1	no	—
1367	#102	—	5	1	no	—
1368	#102	C₂²×D₅	1	1	yes	characteristic
1369	#102	C₂²×D₅	1	1	yes	characteristic
1370	#102	C₂²×D₅	1	1	yes	characteristic
1371	#102	C₂²×D₅	1	1	yes	characteristic
1372	#102	C₂²×D₅	1	1	yes	characteristic
1373	#102	C₂²×D₅	1	1	yes	characteristic
1374	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1375	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1376	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1377	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1378	C₂²⋊C₈	—	5	1	no	—
1379	C₂²⋊C₈	—	5	1	no	—
1380	C₂²⋊C₈	—	5	1	no	—
1381	C₂²⋊C₈	—	5	1	no	—
1382	C₂²⋊C₈	—	5	1	no	—
1383	C₂²⋊C₈	—	5	1	no	—
1384	C₂²⋊C₈	—	5	1	no	—
1385	C₂²⋊C₈	—	5	1	no	—
1386	C₂²⋊C₈	—	5	1	no	—
1387	C₂²⋊C₈	—	5	1	no	—
1388	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1389	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1390	#97	—	5	1	no	—
1391	#97	—	5	1	no	—
1392	C₄×C₈	—	5	1	no	—
1393	C₄×C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1394	C₂²×C₅	—	2	1	no	—
1395	C₂²×C₅	—	2	1	no	—
1396	C₂²×C₅	—	2	2	no	—
1397	C₂²×C₅	—	2	1	no	—
1398	C₂²×C₅	—	2	1	no	—
1399	C₂²×C₅	—	2	1	no	—
1400	C₂²×C₅	—	4	1	no	—
1401	C₂²×C₅	—	4	1	no	—
1402	C₂²×C₅	—	4	1	no	—
1403	C₂²×C₅	—	4	1	no	—
1404	C₂²×C₅	—	4	1	no	—
1405	C₂²×C₅	—	4	1	no	—
1406	C₂²×C₅	—	4	1	no	—
1407	C₂²×C₅	—	4	1	no	—
1408	C₂²×C₅	—	4	1	no	—
1409	C₂²×C₅	—	4	1	no	—
1410	C₂²×C₅	—	4	1	no	—
1411	C₂²×C₅	—	8	4	no	—
1412	C₂²×C₅	—	16	2	no	—
1413	C₂²×C₅	#576	1	2	yes	—
1414	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
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	2	no	—
1420	C₂×D₅	—	2	1	no	—
1421	C₂×D₅	—	2	1	no	—
1422	C₂×D₅	—	2	1	no	—
1423	C₂×D₅	—	2	1	no	—
1424	C₂×D₅	—	4	4	no	—
1425	C₂×D₅	—	4	1	no	—
1426	C₂×D₅	—	4	1	no	—
1427	C₂×D₅	—	4	1	no	—
1428	C₂×D₅	—	4	1	no	—
1429	C₂×D₅	—	4	1	no	—
1430	C₂×D₅	—	4	1	no	—
1431	C₂×D₅	—	4	1	no	—
1432	C₂×D₅	—	4	1	no	—
1433	C₂×D₅	—	8	4	no	—
1434	C₂×D₅	—	8	4	no	—
1435	C₂×D₅	—	8	4	no	—
1436	C₂×D₅	—	8	4	no	—
1437	C₂×D₅	—	8	4	no	—
1438	C₂×D₅	—	16	2	no	—
1439	C₂×D₅	—	16	2	no	—
1440	C₂×D₅	#577	1	2	yes	—
1441	C₄×C₅	—	2	1	no	—
1442	C₄×C₅	—	2	1	no	—
1443	C₄×C₅	—	2	1	no	—
1444	C₄×C₅	—	2	1	no	—
1445	C₄×C₅	—	4	1	no	—
1446	C₄×C₅	—	4	1	no	—
1447	C₄×C₅	—	4	1	no	—
1448	C₄×C₅	—	4	1	no	—
1449	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1450	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1451	Dic₅	—	2	1	no	—
1452	Dic₅	—	2	1	no	—
1453	Dic₅	—	2	1	no	—
1454	Dic₅	—	2	1	no	—
1455	Dic₅	—	2	1	no	—
1456	Dic₅	—	4	1	no	—
1457	Dic₅	—	4	1	no	—
1458	Dic₅	—	4	1	no	—
1459	Dic₅	—	4	1	no	—
1460	Dic₅	—	4	1	no	—
1461	C₂⁴	—	2	1	no	—
1462	C₂⁴	—	2	1	no	—
1463	C₂⁴	—	5	1	no	—
1464	C₂⁴	—	10	1	no	—
1465	C₂⁴	—	10	1	no	—
1466	C₂⁴	—	10	1	no	—
1467	C₂⁴	—	10	1	no	—
1468	C₂⁴	—	10	1	no	—
1469	C₂⁴	—	10	1	no	—
1470	C₂⁴	—	10	1	no	—
1471	C₂⁴	—	20	4	no	—
1472	C₂⁴	—	40	2	no	—
1473	C₂⁴	—	40	2	no	—
1474	#41	—	8	2	no	—
1475	#41	—	10	2	no	—
1476	#41	—	10	2	no	—
1477	#41	—	20	1	no	—
1478	#41	—	20	1	no	—
1479	#41	—	20	1	no	—
1480	#41	—	20	1	no	—
1481	#41	—	20	1	no	—
1482	#41	—	20	1	no	—
1483	#41	—	20	1	no	—
1484	#41	—	20	1	no	—
1485	#41	—	20	1	no	—
1486	#41	—	20	1	no	—
1487	#41	—	20	4	no	—
1488	#41	—	40	2	no	—
1489	C₂×Q₈	—	2	1	no	—
1490	C₂×Q₈	—	5	1	no	—
1491	C₂×Q₈	—	5	1	no	—
1492	C₂×Q₈	—	5	1	no	—
1493	C₂×Q₈	—	5	1	no	—
1494	C₂×Q₈	—	10	1	no	—
1495	C₂×Q₈	—	10	1	no	—
1496	C₂×Q₈	—	20	1	no	—
1497	C₂×Q₈	—	20	1	no	—
1498	C₂×D₄	—	2	2	no	—
1499	C₂×D₄	—	2	2	no	—
1500	C₂×D₄	—	2	1	no	—
1501	C₂×D₄	—	2	1	no	—
1502	C₂×D₄	—	2	1	no	—
1503	C₂×D₄	—	2	1	no	—
1504	C₂×D₄	—	2	1	no	—
1505	C₂×D₄	—	2	1	no	—
1506	C₂×D₄	—	2	1	no	—
1507	C₂×D₄	—	2	1	no	—
1508	C₂×D₄	—	4	1	no	—
1509	C₂×D₄	—	4	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	—	5	1	no	—
1517	C₂×D₄	—	5	1	no	—
1518	C₂×D₄	—	5	1	no	—
1519	C₂×D₄	—	8	2	no	—
1520	C₂×D₄	—	10	2	no	—
1521	C₂×D₄	—	10	1	no	—
1522	C₂×D₄	—	10	1	no	—
1523	C₂×D₄	—	10	1	no	—
1524	C₂×D₄	—	10	1	no	—
1525	C₂×D₄	—	10	1	no	—
1526	C₂×D₄	—	10	1	no	—
1527	C₂×D₄	—	10	1	no	—
1528	C₂×D₄	—	10	1	no	—
1529	C₂×D₄	—	10	1	no	—
1530	C₂×D₄	—	10	1	no	—
1531	C₂×D₄	—	10	1	no	—
1532	C₂×D₄	—	10	2	no	—
1533	C₂×D₄	—	10	2	no	—
1534	C₂×D₄	—	10	2	no	—
1535	C₂×D₄	—	10	2	no	—
1536	C₂×D₄	—	10	2	no	—
1537	C₂×D₄	—	10	1	no	—
1538	C₂×D₄	—	10	1	no	—
1539	C₂×D₄	—	10	1	no	—
1540	C₂×D₄	—	10	1	no	—
1541	C₂×D₄	—	10	1	no	—
1542	C₂×D₄	—	10	1	no	—
1543	C₂×D₄	—	10	1	no	—
1544	C₂×D₄	—	10	1	no	—
1545	C₂×D₄	—	10	1	no	—
1546	C₂×D₄	—	10	1	no	—
1547	C₂×D₄	—	10	1	no	—
1548	C₂×D₄	—	20	1	no	—
1549	C₂×D₄	—	20	1	no	—
1550	C₂×D₄	—	20	1	no	—
1551	C₂×D₄	—	20	1	no	—
1552	C₂×D₄	—	20	1	no	—
1553	C₂×D₄	—	20	1	no	—
1554	C₂×D₄	—	20	1	no	—
1555	C₂×D₄	—	20	1	no	—
1556	C₂×D₄	—	20	4	no	—
1557	C₂×D₄	—	20	4	no	—
1558	C₂×D₄	—	20	4	no	—
1559	C₂×D₄	—	20	4	no	—
1560	C₂×D₄	—	20	4	no	—
1561	C₂×D₄	—	20	4	no	—
1562	C₂×D₄	—	40	2	no	—
1563	C₂×D₄	—	40	2	no	—
1564	C₂×D₄	—	40	2	no	—
1565	C₂×D₄	—	40	2	no	—
1566	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1567	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1568	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1569	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1570	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1571	C₂²×C₄	—	2	1	no	—
1572	C₂²×C₄	—	2	1	no	—
1573	C₂²×C₄	—	2	1	no	—
1574	C₂²×C₄	—	2	1	no	—
1575	C₂²×C₄	—	5	1	no	—
1576	C₂²×C₄	—	5	1	no	—
1577	C₂²×C₄	—	5	1	no	—
1578	C₂²×C₄	—	5	1	no	—
1579	C₂²×C₄	—	5	1	no	—
1580	C₂²×C₄	—	5	1	no	—
1581	C₂²×C₄	—	10	1	no	—
1582	C₂²×C₄	—	10	1	no	—
1583	C₂²×C₄	—	10	1	no	—
1584	C₂²×C₄	—	10	1	no	—
1585	C₂²×C₄	—	10	1	no	—
1586	C₂²×C₄	—	10	1	no	—
1587	C₂²×C₄	—	10	1	no	—
1588	C₂²×C₄	—	10	1	no	—
1589	C₂²×C₄	—	10	1	no	—
1590	C₂²×C₄	—	10	1	no	—
1591	C₂²×C₄	—	10	1	no	—
1592	C₂²×C₄	—	10	1	no	—
1593	C₂²×C₄	—	20	1	no	—
1594	C₂²×C₄	—	20	1	no	—
1595	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1596	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1597	Q₁₆	—	20	1	no	—
1598	Q₁₆	—	20	1	no	—
1599	SD₁₆	—	10	2	no	—
1600	SD₁₆	—	10	2	no	—
1601	SD₁₆	—	10	2	no	—
1602	SD₁₆	—	10	2	no	—
1603	SD₁₆	—	20	1	no	—
1604	SD₁₆	—	20	1	no	—
1605	SD₁₆	—	20	1	no	—
1606	SD₁₆	—	20	1	no	—
1607	SD₁₆	—	20	1	no	—
1608	SD₁₆	—	20	1	no	—
1609	SD₁₆	—	20	1	no	—
1610	SD₁₆	—	20	1	no	—
1611	D₈	—	2	2	no	—
1612	D₈	—	4	1	no	—
1613	D₈	—	4	1	no	—
1614	D₈	—	10	2	no	—
1615	D₈	—	10	2	no	—
1616	D₈	—	10	2	no	—
1617	D₈	—	20	1	no	—
1618	D₈	—	20	1	no	—
1619	D₈	—	20	1	no	—
1620	D₈	—	20	1	no	—
1621	M₁₆	—	20	1	no	—
1622	M₁₆	—	20	1	no	—
1623	C₂×C₈	—	4	1	no	—
1624	C₂×C₈	—	4	1	no	—
1625	C₂×C₈	—	5	1	no	—
1626	C₂×C₈	—	5	1	no	—
1627	C₂×C₈	—	5	1	no	—
1628	C₂×C₈	—	5	1	no	—
1629	C₂×C₈	—	20	1	no	—
1630	C₂×C₈	—	20	1	no	—
1631	C₂×C₈	—	20	1	no	—
1632	C₂×C₈	—	20	1	no	—
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	C₄⋊C₄	—	2	1	no	—
1638	C₄⋊C₄	—	2	1	no	—
1639	C₄⋊C₄	—	2	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	—	10	1	no	—
1648	C₄⋊C₄	—	10	1	no	—
1649	C₄⋊C₄	—	10	1	no	—
1650	C₄⋊C₄	—	10	1	no	—
1651	C₄⋊C₄	—	10	1	no	—
1652	C₄⋊C₄	—	10	1	no	—
1653	C₄⋊C₄	—	10	1	no	—
1654	C₄⋊C₄	—	10	1	no	—
1655	C₄⋊C₄	—	10	1	no	—
1656	C₄⋊C₄	—	10	1	no	—
1657	C₄⋊C₄	—	10	1	no	—
1658	C₄⋊C₄	—	10	1	no	—
1659	C₄⋊C₄	—	10	1	no	—
1660	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1661	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1662	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1663	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1664	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1665	C₂²⋊C₄	—	2	1	no	—
1666	C₂²⋊C₄	—	2	1	no	—
1667	C₂²⋊C₄	—	2	1	no	—
1668	C₂²⋊C₄	—	2	1	no	—
1669	C₂²⋊C₄	—	2	1	no	—
1670	C₂²⋊C₄	—	2	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	—	10	1	no	—
1680	C₂²⋊C₄	—	10	1	no	—
1681	C₂²⋊C₄	—	10	1	no	—
1682	C₂²⋊C₄	—	10	1	no	—
1683	C₂²⋊C₄	—	10	1	no	—
1684	C₂²⋊C₄	—	10	1	no	—
1685	C₂²⋊C₄	—	10	1	no	—
1686	C₂²⋊C₄	—	10	1	no	—
1687	C₂²⋊C₄	—	10	1	no	—
1688	C₂²⋊C₄	—	10	1	no	—
1689	C₂²⋊C₄	—	10	1	no	—
1690	C₂²⋊C₄	—	10	1	no	—
1691	C₂²⋊C₄	—	10	1	no	—
1692	C₂²⋊C₄	—	10	1	no	—
1693	C₂²⋊C₄	—	10	1	no	—
1694	C₂²⋊C₄	—	10	1	no	—
1695	C₂²⋊C₄	—	10	1	no	—
1696	C₂²⋊C₄	—	10	1	no	—
1697	C₂²⋊C₄	—	10	1	no	—
1698	C₂²⋊C₄	—	10	1	no	—
1699	C₂²⋊C₄	—	10	1	no	—
1700	C₂²⋊C₄	—	10	1	no	—
1701	C₂²⋊C₄	—	10	1	no	—
1702	C₂²⋊C₄	—	10	1	no	—
1703	C₂²⋊C₄	—	10	1	no	—
1704	C₂²⋊C₄	—	10	1	no	—
1705	C₂²⋊C₄	—	10	1	no	—
1706	C₂²⋊C₄	—	10	1	no	—
1707	C₂²⋊C₄	—	10	1	no	—
1708	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1709	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1710	C₄²	—	5	1	no	—
1711	C₄²	—	10	1	no	—
1712	C₄²	—	10	1	no	—
1713	C₄²	—	10	1	no	—
1714	C₄²	C₂³×D₅	1	1	yes	characteristic
1715	C₂×C₅	—	2	2	no	—
1716	C₂×C₅	—	4	2	no	—
1717	C₂×C₅	—	4	1	no	—
1718	C₂×C₅	—	8	1	no	—
1719	C₂×C₅	—	8	1	no	—
1720	C₂×C₅	—	8	1	no	—
1721	C₂×C₅	#3484	1	1	yes	characteristic
1722	C₂×C₅	C₂×#576	1	1	yes	characteristic
1723	C₂×C₅	C₂×#577	1	1	yes	characteristic
1724	D₅	—	2	2	no	—
1725	D₅	—	4	1	no	—
1726	D₅	—	4	1	no	—
1727	D₅	—	4	2	no	—
1728	D₅	—	8	1	no	—
1729	D₅	—	8	1	no	—
1730	C₂³	—	2	1	no	—
1731	C₂³	—	2	1	no	—
1732	C₂³	—	2	1	no	—
1733	C₂³	—	2	1	no	—
1734	C₂³	—	4	2	no	—
1735	C₂³	—	4	2	no	—
1736	C₂³	—	4	2	no	—
1737	C₂³	—	5	1	no	—
1738	C₂³	—	5	1	no	—
1739	C₂³	—	5	1	no	—
1740	C₂³	—	8	1	no	—
1741	C₂³	—	8	1	no	—
1742	C₂³	—	8	1	no	—
1743	C₂³	—	10	2	no	—
1744	C₂³	—	10	4	no	—
1745	C₂³	—	10	2	no	—
1746	C₂³	—	10	1	no	—
1747	C₂³	—	10	1	no	—
1748	C₂³	—	10	1	no	—
1749	C₂³	—	20	1	no	—
1750	C₂³	—	20	2	no	—
1751	C₂³	—	20	2	no	—
1752	C₂³	—	20	2	no	—
1753	C₂³	—	20	2	no	—
1754	C₂³	—	20	2	no	—
1755	C₂³	—	20	2	no	—
1756	C₂³	—	20	2	no	—
1757	C₂³	—	20	2	no	—
1758	C₂³	—	20	2	no	—
1759	C₂³	—	40	1	no	—
1760	C₂³	—	40	1	no	—
1761	C₂³	—	40	1	no	—
1762	C₂³	—	40	1	no	—
1763	C₂³	—	40	1	no	—
1764	C₂³	—	40	1	no	—
1765	C₂³	—	40	1	no	—
1766	C₂³	—	40	1	no	—
1767	C₂³	—	40	1	no	—
1768	C₂³	—	40	1	no	—
1769	C₂³	—	40	1	no	—
1770	C₂³	—	40	16	no	—
1771	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1772	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1773	Q₈	—	8	1	no	—
1774	Q₈	—	10	1	no	—
1775	Q₈	—	10	1	no	—
1776	Q₈	—	10	1	no	—
1777	Q₈	—	10	1	no	—
1778	Q₈	—	10	1	no	—
1779	Q₈	—	10	1	no	—
1780	Q₈	—	20	1	no	—
1781	Q₈	—	40	1	no	—
1782	Q₈	—	40	1	no	—
1783	D₄	—	2	2	no	—
1784	D₄	—	2	1	no	—
1785	D₄	—	2	1	no	—
1786	D₄	—	2	1	no	—
1787	D₄	—	2	1	no	—
1788	D₄	—	2	1	no	—
1789	D₄	—	2	1	no	—
1790	D₄	—	2	1	no	—
1791	D₄	—	4	2	no	—
1792	D₄	—	4	2	no	—
1793	D₄	—	4	2	no	—
1794	D₄	—	4	2	no	—
1795	D₄	—	5	2	no	—
1796	D₄	—	8	1	no	—
1797	D₄	—	8	1	no	—
1798	D₄	—	8	1	no	—
1799	D₄	—	8	1	no	—
1800	D₄	—	10	2	no	—
1801	D₄	—	10	2	no	—
1802	D₄	—	10	4	no	—
1803	D₄	—	10	2	no	—
1804	D₄	—	10	1	no	—
1805	D₄	—	10	1	no	—
1806	D₄	—	10	1	no	—
1807	D₄	—	10	1	no	—
1808	D₄	—	10	1	no	—
1809	D₄	—	20	1	no	—
1810	D₄	—	20	2	no	—
1811	D₄	—	20	1	no	—
1812	D₄	—	20	1	no	—
1813	D₄	—	20	2	no	—
1814	D₄	—	20	2	no	—
1815	D₄	—	20	2	no	—
1816	D₄	—	20	2	no	—
1817	D₄	—	20	2	no	—
1818	D₄	—	20	2	no	—
1819	D₄	—	20	2	no	—
1820	D₄	—	20	2	no	—
1821	D₄	—	20	2	no	—
1822	D₄	—	40	1	no	—
1823	D₄	—	40	1	no	—
1824	D₄	—	40	1	no	—
1825	D₄	—	40	1	no	—
1826	D₄	—	40	1	no	—
1827	D₄	—	40	1	no	—
1828	D₄	—	40	1	no	—
1829	D₄	—	40	1	no	—
1830	D₄	—	40	1	no	—
1831	D₄	—	40	1	no	—
1832	D₄	—	40	1	no	—
1833	D₄	#4149	1	2	yes	—
1834	C₂×C₄	—	2	1	no	—
1835	C₂×C₄	—	2	1	no	—
1836	C₂×C₄	—	2	1	no	—
1837	C₂×C₄	—	2	1	no	—
1838	C₂×C₄	—	2	1	no	—
1839	C₂×C₄	—	2	1	no	—
1840	C₂×C₄	—	2	1	no	—
1841	C₂×C₄	—	2	1	no	—
1842	C₂×C₄	—	4	2	no	—
1843	C₂×C₄	—	5	1	no	—
1844	C₂×C₄	—	5	1	no	—
1845	C₂×C₄	—	5	1	no	—
1846	C₂×C₄	—	5	1	no	—
1847	C₂×C₄	—	5	1	no	—
1848	C₂×C₄	—	8	1	no	—
1849	C₂×C₄	—	8	1	no	—
1850	C₂×C₄	—	8	1	no	—
1851	C₂×C₄	—	10	1	no	—
1852	C₂×C₄	—	10	1	no	—
1853	C₂×C₄	—	10	1	no	—
1854	C₂×C₄	—	10	1	no	—
1855	C₂×C₄	—	10	1	no	—
1856	C₂×C₄	—	10	1	no	—
1857	C₂×C₄	—	10	1	no	—
1858	C₂×C₄	—	10	1	no	—
1859	C₂×C₄	—	10	1	no	—
1860	C₂×C₄	—	10	1	no	—
1861	C₂×C₄	—	10	1	no	—
1862	C₂×C₄	—	20	1	no	—
1863	C₂×C₄	—	20	1	no	—
1864	C₂×C₄	—	20	2	no	—
1865	C₂×C₄	—	20	1	no	—
1866	C₂×C₄	—	20	2	no	—
1867	C₂×C₄	—	20	2	no	—
1868	C₂×C₄	—	40	1	no	—
1869	C₂×C₄	—	40	1	no	—
1870	C₂×C₄	—	40	1	no	—
1871	C₂×C₄	—	40	1	no	—
1872	C₂×C₄	—	40	1	no	—
1873	C₂×C₄	—	40	1	no	—
1874	C₂×C₄	—	40	1	no	—
1875	C₂×C₄	—	40	1	no	—
1876	C₂×C₄	—	40	1	no	—
1877	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1878	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1879	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1880	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1881	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1882	C₈	—	2	1	no	—
1883	C₈	—	2	1	no	—
1884	C₈	—	2	1	no	—
1885	C₈	—	2	1	no	—
1886	C₈	—	10	1	no	—
1887	C₈	—	10	1	no	—
1888	C₈	—	10	1	no	—
1889	C₈	—	10	1	no	—
1890	C₅	#61629	1	1	yes	characteristic, complemented, Sylow
1891	C₂²	—	2	1	no	—
1892	C₂²	—	2	1	no	—
1893	C₂²	—	2	1	no	—
1894	C₂²	—	2	1	no	—
1895	C₂²	—	2	2	no	—
1896	C₂²	—	2	1	no	—
1897	C₂²	—	4	1	no	—
1898	C₂²	—	4	1	no	—
1899	C₂²	—	4	1	no	—
1900	C₂²	—	4	1	no	—
1901	C₂²	—	4	1	no	—
1902	C₂²	—	4	1	no	—
1903	C₂²	—	4	1	no	—
1904	C₂²	—	4	1	no	—
1905	C₂²	—	4	1	no	—
1906	C₂²	—	4	1	no	—
1907	C₂²	—	4	1	no	—
1908	C₂²	—	5	2	no	—
1909	C₂²	—	8	4	no	—
1910	C₂²	—	10	1	no	—
1911	C₂²	—	10	1	no	—
1912	C₂²	—	10	1	no	—
1913	C₂²	—	10	1	no	—
1914	C₂²	—	10	1	no	—
1915	C₂²	—	10	1	no	—
1916	C₂²	—	10	2	no	—
1917	C₂²	—	10	1	no	—
1918	C₂²	—	10	1	no	—
1919	C₂²	—	16	2	no	—
1920	C₂²	—	20	4	no	—
1921	C₂²	—	20	1	no	—
1922	C₂²	—	20	1	no	—
1923	C₂²	—	20	1	no	—
1924	C₂²	—	20	1	no	—
1925	C₂²	—	20	1	no	—
1926	C₂²	—	20	1	no	—
1927	C₂²	—	20	1	no	—
1928	C₂²	—	20	1	no	—
1929	C₂²	—	40	4	no	—
1930	C₂²	—	40	4	no	—
1931	C₂²	—	40	4	no	—
1932	C₂²	—	40	4	no	—
1933	C₂²	—	40	4	no	—
1934	C₂²	—	80	2	no	—
1935	C₂²	—	80	2	no	—
1936	C₂²	#66091	1	2	yes	—
1937	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1938	C₄	—	2	1	no	—
1939	C₄	—	2	1	no	—
1940	C₄	—	2	1	no	—
1941	C₄	—	2	1	no	—
1942	C₄	—	4	1	no	—
1943	C₄	—	4	1	no	—
1944	C₄	—	4	1	no	—
1945	C₄	—	4	1	no	—
1946	C₄	—	10	1	no	—
1947	C₄	—	10	1	no	—
1948	C₄	—	10	1	no	—
1949	C₄	—	10	1	no	—
1950	C₄	—	10	1	no	—
1951	C₄	—	20	1	no	—
1952	C₄	—	20	1	no	—
1953	C₄	—	20	1	no	—
1954	C₄	—	20	1	no	—
1955	C₄	—	20	1	no	—
1956	C₄	C₂×#4149	1	1	yes	characteristic
1957	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1958	C₂	—	2	2	no	—
1959	C₂	—	4	1	no	—
1960	C₂	—	4	2	no	—
1961	C₂	—	8	1	no	—
1962	C₂	—	8	1	no	—
1963	C₂	—	8	1	no	—
1964	C₂	—	10	2	no	—
1965	C₂	—	20	1	no	—
1966	C₂	—	20	1	no	—
1967	C₂	—	20	2	no	—
1968	C₂	—	40	1	no	—
1969	C₂	—	40	1	no	—
1970	C₂	#10618563	1	1	yes	characteristic
1971	C₂	C₂×#66091	1	1	yes	characteristic
1972	C₂	D₅×#577	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3294	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3294	D₅
hypocenter	C₅	#61629
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3294

Complements

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

N	H ≅ G/N	type
1. #10618606	C₂	semidirect
2. #10618521	C₂	semidirect
3. C₅×#3294	C₂	semidirect
4. #10615257	C₂	semidirect
5. #10615222	C₂	semidirect
6. #10613308	C₂	semidirect
7. #10613301	C₂	semidirect
8. #10613035	C₂	semidirect
9. #10613033	C₂	semidirect
10. #10613020	C₂	semidirect
11. #10613018	C₂	semidirect
12. #10612713	C₂	semidirect
13. #10612683	C₂	semidirect
14. #10612461	C₂	semidirect
15. #10612458	C₂	semidirect
16. #10612453	C₂	semidirect
17. #10612451	C₂	semidirect
18. #10612089	C₂	semidirect
19. #10612072	C₂	semidirect
20. #10611758	C₂	semidirect
21. #10611743	C₂	semidirect
22. #10611736	C₂	semidirect
23. D₅×#447	C₂	semidirect
24. #10611337	C₂	semidirect
25. #10611325	C₂	semidirect
26. #10611166	C₂	semidirect
27. #10611160	C₂	semidirect
28. #10610492	C₂	semidirect
29. #10610489	C₂	semidirect
30. #10610478	C₂	semidirect
31. C₂×#65065	C₂	semidirect
32. C₂×#4144	C₂²	semidirect
34. C₅×#547	C₂²	semidirect
35. C₅×D₄²	C₂²	semidirect
38. #66140	C₂²	semidirect
42. C₂²×#687	C₂²	semidirect
43. C₂×#4078	C₂²	semidirect
44. C₂×#4058	C₂²	semidirect
45. C₂×#4057	C₂²	semidirect
46. C₂×D₅×D₈	C₂²	semidirect
47. C₂×D₅×D₈	C₂²	semidirect
48. C₂×#4050	C₂²	semidirect
49. C₂²×#677	C₂²	semidirect
50. #66067	C₂²	semidirect
51. #66064	C₂²	semidirect
53. #66049	C₂²	semidirect
61. #65946	C₂²	semidirect
63. #65943	C₂²	semidirect
64. #65942	C₂²	semidirect
65. #65941	C₂²	semidirect
68. D₅×#121	C₂²	semidirect
69. #65932	C₂²	semidirect
74. #65895	C₂²	semidirect
76. #65888	C₂²	semidirect
77. #65886	C₂²	semidirect
78. #65884	C₂²	semidirect
80. #65879	C₂²	semidirect
81. #65845	C₂²	semidirect
82. #65844	C₂²	semidirect
83. C₂×#4043	C₂²	semidirect
84. #65841	C₂²	semidirect
85. C₅×#486	C₂²	semidirect
86. C₅×#480	C₂²	semidirect
87. C₅×#480	C₂²	semidirect
88. C₅×#474	C₂²	semidirect
89. C₅×#466	C₂²	semidirect
90. C₅×#466	C₂²	semidirect
91. C₅×#459	C₂²	semidirect
92. C₅×#447	C₂²	semidirect
93. C₅×#447	C₂²	semidirect
94. C₄×C₅×D₈	C₂²	semidirect
95. C₅×C₈×D₄	C₂²	semidirect
96. C₂×C₅×#102	C₂²	semidirect
97. C₂×C₅×#102	C₂²	semidirect
98. #65507	C₂²	semidirect
99. #65506	C₂²	semidirect
100. #65447	C₂²	semidirect
101. #65447	C₂²	semidirect
103. #65445	C₂²	semidirect
104. #65445	C₂²	semidirect
105. #65444	C₂²	semidirect
106. #65443	C₂²	semidirect
107. #65442	C₂²	semidirect
108. #65403	C₂²	semidirect
109. #65403	C₂²	semidirect
110. #65400	C₂²	semidirect
111. #65399	C₂²	semidirect
112. C₈×C₂²⋊D₅	C₂²	semidirect
113. C₂×#3952	C₂²	semidirect
114. #65378	C₂²	semidirect
115. #65373	C₂²	semidirect
116. #65364	C₂²	semidirect
117. #65363	C₂²	semidirect
118. #65331	C₂²	semidirect
119. #65330	C₂²	semidirect
120. #65329	C₂²	semidirect
121. #65328	C₂²	semidirect
122. #65327	C₂²	semidirect
123. #65326	C₂²	semidirect
124. #65326	C₂²	semidirect
125. #65325	C₂²	semidirect
126. #65307	C₂²	semidirect
127. #65305	C₂²	semidirect
128. #65305	C₂²	semidirect
129. #65303	C₂²	semidirect
130. #65300	C₂²	semidirect
131. #65260	C₂²	semidirect
132. #65257	C₂²	semidirect
133. #65255	C₂²	semidirect
134. C₂×#3941	C₂²	semidirect
135. #65179	C₂²	semidirect
136. #65178	C₂²	semidirect
137. #65177	C₂²	semidirect
138. #65177	C₂²	semidirect
139. #65176	C₂²	semidirect
140. #65176	C₂²	semidirect
141. #65175	C₂²	semidirect
142. #65174	C₂²	semidirect
143. #65173	C₂²	semidirect
144. #65172	C₂²	semidirect
145. #65171	C₂²	semidirect
146. #65161	C₂²	semidirect
147. #65134	C₂²	semidirect
148. #65133	C₂²	semidirect
149. #65129	C₂²	semidirect
150. #65125	C₂²	semidirect
151. #65076	C₂²	semidirect
152. #65076	C₂²	semidirect
153. #65075	C₂²	semidirect
154. #65074	C₂²	semidirect
155. #65072	C₂²	semidirect
156. #65072	C₂²	semidirect
157. #65072	C₂²	semidirect
158. #65071	C₂²	semidirect
159. #65070	C₂²	semidirect
160. #65070	C₂²	semidirect
161. #65070	C₂²	semidirect
162. #65068	C₂²	semidirect
163. #65067	C₂²	semidirect
164. #65067	C₂²	semidirect
165. #65067	C₂²	semidirect
166. #65066	C₂²	semidirect
167. #65066	C₂²	semidirect
168. #65065	C₂²	semidirect
169. #65065	C₂²	semidirect
170. #65065	C₂²	semidirect
171. #65065	C₂²	semidirect
172. #65065	C₂²	semidirect
173. #65065	C₂²	semidirect
174. #65065	C₂²	semidirect
175. #65065	C₂²	semidirect
176. #65065	C₂²	semidirect
177. #65065	C₂²	semidirect
179. #65062	C₂²	semidirect
180. #65062	C₂²	semidirect
181. #65060	C₂²	semidirect
182. D₅×#102	C₂²	semidirect
183. D₅×#102	C₂²	semidirect
184. D₅×#102	C₂²	semidirect
185. #65056	C₂²	semidirect
186. #65054	C₂²	semidirect
187. #65051	C₂²	semidirect
188. #65050	C₂²	semidirect
189. #65049	C₂²	semidirect
190. #65047	C₂²	semidirect
191. #65028	C₂²	semidirect
192. #65023	C₂²	semidirect
193. #65022	C₂²	semidirect
194. #65021	C₂²	semidirect
195. #65017	C₂²	semidirect
196. #65016	C₂²	semidirect
197. #65014	C₂²	semidirect
198. D₅×C₂²⋊C₈	C₂²	semidirect
199. #64985	C₂²	semidirect
200. C₄×#677	C₂²	semidirect
201. #64979	C₂²	semidirect
202. C₈×D₂₀	C₂²	semidirect
218. C₂×#711	C₂³	semidirect
236. C₂×#709	C₂³	semidirect
242. C₂×C₅×D₈	C₂³	semidirect
244. C₂²×C₅×C₈	C₂³	semidirect
245. C₅×C₄⋊Q₈	C₂³	semidirect
254. C₅×#121	C₂³	semidirect
259. C₄×C₅×D₄	C₂³	semidirect
261. C₂×C₅×C₄⋊C₄	C₂³	semidirect
300. #4082	C₂³	semidirect
310. C₂×#687	C₂³	semidirect
311. C₂×#687	C₂³	semidirect
312. C₂×#687	C₂³	semidirect
318. C₂×#686	C₂³	semidirect
339. #4070	C₂³	semidirect
340. C₂×#681	C₂³	semidirect
346. C₂×Dic₂₀	C₂³	semidirect
347. C₂×Dic₂₀	C₂³	semidirect
356. C₂×#677	C₂³	semidirect
357. C₂×#676	C₂³	semidirect
360. C₂×C₈×D₅	C₂³	semidirect
370. #4043	C₂³	semidirect
378. #4041	C₂³	semidirect
385. #4039	C₂³	semidirect
388. D₅×C₄⋊C₄	C₂³	semidirect
391. #4034	C₂³	semidirect
392. #4033	C₂³	semidirect
426. #4021	C₂³	semidirect
430. C₄×Dic₁₀	C₂³	semidirect
431. C₅×#107	C₂³	semidirect
432. C₅×#107	C₂³	semidirect
433. C₅×#107	C₂³	semidirect
434. C₅×C₄⋊C₈	C₂³	semidirect
441. C₅×#102	C₂³	semidirect
442. C₅×#102	C₂³	semidirect
443. C₅×#102	C₂³	semidirect
444. C₅×#102	C₂³	semidirect
446. C₅×C₂²⋊C₈	C₂³	semidirect
447. C₄×C₅×C₈	C₂³	semidirect
450. #3964	C₂³	semidirect
451. #3964	C₂³	semidirect
453. C₂²⋊#168	C₂³	semidirect
456. #3953	C₂³	semidirect
463. #3952	C₂³	semidirect
464. #3952	C₂³	semidirect
465. #3949	C₂³	semidirect
466. #3948	C₂³	semidirect
467. #3948	C₂³	semidirect
468. #3948	C₂³	semidirect
469. #3947	C₂³	semidirect
470. #3946	C₂³	semidirect
471. #3946	C₂³	semidirect
472. C₈×Dic₅	C₂³	semidirect
473. #3942	C₂³	semidirect
474. #3942	C₂³	semidirect
475. #3942	C₂³	semidirect
476. #3942	C₂³	semidirect
477. #3942	C₂³	semidirect
484. #3941	C₂³	semidirect
485. #3940	C₂³	semidirect
486. #3940	C₂³	semidirect
487. #3940	C₂³	semidirect
488. #3939	C₂³	semidirect
489. C₄⋊#168	C₂³	semidirect
490. #3935	C₂³	semidirect
500. #3294	D₅	semidirect
793. #547	C₂×D₅	semidirect
809. D₄²	C₂×D₅	semidirect
836. #486	C₂×D₅	semidirect
847. #480	C₂×D₅	semidirect
848. #480	C₂×D₅	semidirect
852. #474	C₂×D₅	semidirect
861. #466	C₂×D₅	semidirect
862. #466	C₂×D₅	semidirect
880. #459	C₂×D₅	semidirect
915. #447	C₂×D₅	semidirect
916. #447	C₂×D₅	semidirect
924. C₄×D₈	C₂×D₅	semidirect
932. C₈×D₄	C₂×D₅	semidirect
941. C₂×#102	C₂×D₅	semidirect
942. C₂×#102	C₂×D₅	semidirect
1174. C₂×D₈	C₂²×D₅	semidirect
1182. C₂²×C₈	C₂²×D₅	semidirect
1184. C₄⋊Q₈	C₂²×D₅	semidirect
1275. #121	C₂²×D₅	semidirect
1316. C₄×D₄	C₂²×D₅	semidirect
1323. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1335. #107	C₂²×D₅	semidirect
1336. #107	C₂²×D₅	semidirect
1337. #107	C₂²×D₅	semidirect
1345. C₄⋊C₈	C₂²×D₅	semidirect
1374. #102	C₂²×D₅	semidirect
1375. #102	C₂²×D₅	semidirect
1376. #102	C₂²×D₅	semidirect
1377. #102	C₂²×D₅	semidirect
1389. C₂²⋊C₈	C₂²×D₅	semidirect
1393. C₄×C₈	C₂²×D₅	semidirect
1890. C₅	#61629	semidirect

Maximal subgroups

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

subgroup	index
#10618606	2
#10618521	2
C₅×#3294	2
#10615257	2
#10615222	2
#10613308	2
#10613301	2
#10613035	2
#10613033	2
#10613020	2
#10613018	2
#10612713	2
#10612683	2
#10612461	2
#10612458	2
#10612453	2
#10612451	2
#10612089	2
#10612072	2
#10611758	2
#10611743	2
#10611736	2
D₅×#447	2
#10611337	2
#10611325	2
#10611166	2
#10611160	2
#10610492	2
#10610489	2
#10610478	2
C₂×#65065	2
#61629	5