Subgroups — #12985364

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	#10618563	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3306	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615256	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615240	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613431	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613419	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613179	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613177	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613073	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613061	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612806	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612779	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612612	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612602	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612408	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612395	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612288	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612277	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611832	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611818	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611756	C₂	1	1	yes	maximal, characteristic, complemented
23	D₅×#447	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611617	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611609	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611225	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611220	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610629	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610617	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610488	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65065	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#4149	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×#546	C₂²	1	1	yes	characteristic, complemented
36	#66167	—	2	1	no	—
37	#66163	—	2	1	no	—
38	#66163	C₂²	1	1	yes	characteristic
39	C₂×#4096	C₂²	1	1	yes	characteristic, complemented
40	D₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
41	C₂²×#687	C₂²	1	1	yes	characteristic, complemented
42	C₂×#4062	C₂²	1	1	yes	characteristic, complemented
43	C₂×#4057	C₂²	1	1	yes	characteristic, complemented
44	C₂×D₅×D₈	C₂²	1	1	yes	characteristic, complemented
45	C₂×D₅×D₈	C₂²	1	1	yes	characteristic, complemented
46	C₂×#4054	C₂²	1	1	yes	characteristic, complemented
47	C₂²×#677	C₂²	1	1	yes	characteristic, complemented
48	#66067	C₂²	1	1	yes	characteristic, complemented
49	#66064	C₂²	1	1	yes	characteristic, complemented
50	#66010	C₂²	1	1	yes	characteristic
51	#66008	C₂²	1	1	yes	characteristic, complemented
52	#66001	—	2	1	no	—
53	#65999	—	2	1	no	—
54	#65991	—	2	1	no	—
55	#65988	—	2	1	no	—
56	#65988	—	2	1	no	—
57	#65987	—	2	1	no	—
58	#65981	—	2	1	no	—
59	#65968	—	2	1	no	—
60	#65964	C₂²	1	1	yes	characteristic, complemented
61	#65961	C₂²	1	1	yes	characteristic
62	#65946	C₂²	1	1	yes	characteristic, complemented
63	#65943	—	2	1	no	—
64	#65943	C₂²	1	1	yes	characteristic
65	#65942	C₂²	1	1	yes	characteristic, complemented
66	#65941	C₂²	1	1	yes	characteristic, complemented
67	#65939	—	2	1	no	—
68	D₅×#121	C₂²	1	1	yes	characteristic, complemented
69	#65932	C₂²	1	1	yes	characteristic, complemented
70	#65924	—	2	1	no	—
71	D₅×#120	—	2	1	no	—
72	#65895	C₂²	1	1	yes	characteristic, complemented
73	#65888	C₂²	1	1	yes	characteristic, complemented
74	#65886	C₂²	1	1	yes	characteristic, complemented
75	D₄×D₂₀	C₂²	1	1	yes	characteristic
76	D₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
77	#65881	C₂²	1	1	yes	characteristic
78	#65879	C₂²	1	1	yes	characteristic, complemented
79	#65845	C₂²	1	1	yes	characteristic, complemented
80	#65844	C₂²	1	1	yes	characteristic, complemented
81	C₂×#4043	C₂²	1	1	yes	characteristic, complemented
82	#65841	C₂²	1	1	yes	characteristic, complemented
83	#65824	—	2	1	no	—
84	C₂×#4028	—	2	1	no	—
85	C₅×#489	C₂²	1	1	yes	characteristic, complemented
86	C₅×#483	C₂²	1	1	yes	characteristic, complemented
87	C₅×#481	C₂²	1	1	yes	characteristic, complemented
88	C₅×#476	C₂²	1	1	yes	characteristic, complemented
89	C₅×#469	C₂²	1	1	yes	characteristic, complemented
90	C₅×#465	C₂²	1	1	yes	characteristic, complemented
91	C₅×#463	C₂²	1	1	yes	characteristic, complemented
92	C₅×#449	C₂²	1	1	yes	characteristic, complemented
93	C₅×#447	C₂²	1	1	yes	characteristic, complemented
94	C₅×#442	C₂²	1	1	yes	characteristic, complemented
95	C₅×#435	C₂²	1	1	yes	characteristic, complemented
96	C₅×#417	C₂²	1	1	yes	characteristic, complemented
97	C₂×C₅×#102	C₂²	1	1	yes	characteristic, complemented
98	#65528	C₂²	1	1	yes	characteristic, complemented
99	#65506	C₂²	1	1	yes	characteristic, complemented
100	#65461	C₂²	1	1	yes	characteristic, complemented
101	#65458	C₂²	1	1	yes	characteristic, complemented
102	#65457	C₂²	1	1	yes	characteristic, complemented
103	#65447	C₂²	1	1	yes	characteristic, complemented
104	#65445	C₂²	1	1	yes	characteristic
105	#65445	C₂²	1	1	yes	characteristic, complemented
106	#65443	C₂²	1	1	yes	characteristic, complemented
107	#65442	C₂²	1	1	yes	characteristic, complemented
108	#65423	C₂²	1	1	yes	characteristic, complemented
109	#65418	C₂²	1	1	yes	characteristic, complemented
110	#65416	C₂²	1	1	yes	characteristic, complemented
111	#65404	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	#65377	C₂²	1	1	yes	characteristic, complemented
115	#65376	C₂²	1	1	yes	characteristic, complemented
116	#65348	C₂²	1	1	yes	characteristic, complemented
117	#65343	C₂²	1	1	yes	characteristic, complemented
118	#65339	C₂²	1	1	yes	characteristic, complemented
119	#65337	C₂²	1	1	yes	characteristic, complemented
120	#65330	C₂²	1	1	yes	characteristic, complemented
121	#65327	C₂²	1	1	yes	characteristic, complemented
122	#65327	C₂²	1	1	yes	characteristic, complemented
123	#65326	C₂²	1	1	yes	characteristic, complemented
124	#65325	C₂²	1	1	yes	characteristic, complemented
125	#65325	C₂²	1	1	yes	characteristic, complemented
126	C₄×#687	C₂²	1	1	yes	characteristic, complemented
127	#65305	C₂²	1	1	yes	characteristic, complemented
128	#65304	C₂²	1	1	yes	characteristic, complemented
129	C₄×#686	C₂²	1	1	yes	characteristic, complemented
130	D₄×#168	C₂²	1	1	yes	characteristic, complemented
131	#65256	C₂²	1	1	yes	characteristic, complemented
132	#65256	C₂²	1	1	yes	characteristic, complemented
133	C₂×#3941	C₂²	1	1	yes	characteristic, complemented
134	C₂×#3941	C₂²	1	1	yes	characteristic, complemented
135	#65159	C₂²	1	1	yes	characteristic, complemented
136	#65158	C₂²	1	1	yes	characteristic, complemented
137	#65156	C₂²	1	1	yes	characteristic, complemented
138	#65156	C₂²	1	1	yes	characteristic, complemented
139	#65155	C₂²	1	1	yes	characteristic, complemented
140	#65154	C₂²	1	1	yes	characteristic, complemented
141	#65153	C₂²	1	1	yes	characteristic, complemented
142	#65153	C₂²	1	1	yes	characteristic, complemented
143	#65153	C₂²	1	1	yes	characteristic, complemented
144	#65152	C₂²	1	1	yes	characteristic, complemented
145	#65152	C₂²	1	1	yes	characteristic, complemented
146	#65141	C₂²	1	1	yes	characteristic, complemented
147	#65137	C₂²	1	1	yes	characteristic, complemented
148	#65133	C₂²	1	1	yes	characteristic, complemented
149	#65129	C₂²	1	1	yes	characteristic, complemented
150	#65123	C₂²	1	1	yes	characteristic, complemented
151	#65108	C₂²	1	1	yes	characteristic, complemented
152	#65102	C₂²	1	1	yes	characteristic, complemented
153	#65102	C₂²	1	1	yes	characteristic, complemented
154	#65100	C₂²	1	1	yes	characteristic, complemented
155	#65100	C₂²	1	1	yes	characteristic, complemented
156	#65099	C₂²	1	1	yes	characteristic, complemented
157	#65099	C₂²	1	1	yes	characteristic, complemented
158	#65099	C₂²	1	1	yes	characteristic, complemented
159	#65098	C₂²	1	1	yes	characteristic, complemented
160	#65092	C₂²	1	1	yes	characteristic, complemented
161	#65087	C₂²	1	1	yes	characteristic, complemented
162	#65084	C₂²	1	1	yes	characteristic, complemented
163	#65076	C₂²	1	1	yes	characteristic, complemented
164	#65075	C₂²	1	1	yes	characteristic, complemented
165	#65073	C₂²	1	1	yes	characteristic, complemented
166	#65070	C₂²	1	1	yes	characteristic, complemented
167	#65069	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	#65064	C₂²	1	1	yes	characteristic, complemented
178	#65063	C₂²	1	1	yes	characteristic, complemented
179	#65062	C₂²	1	1	yes	characteristic
180	#65062	C₂²	1	1	yes	characteristic, complemented
181	#65062	C₂²	1	1	yes	characteristic, complemented
182	#65062	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	D₅×#102	C₂²	1	1	yes	characteristic, complemented
186	#65051	C₂²	1	1	yes	characteristic, complemented
187	#65049	C₂²	1	1	yes	characteristic, complemented
188	#65048	C₂²	1	1	yes	characteristic, complemented
189	#65046	C₂²	1	1	yes	characteristic, complemented
190	#65045	C₂²	1	1	yes	characteristic, complemented
191	#65027	C₂²	1	1	yes	characteristic, complemented
192	#65023	C₂²	1	1	yes	characteristic, complemented
193	#65021	C₂²	1	1	yes	characteristic, complemented
194	#65020	C₂²	1	1	yes	characteristic, complemented
195	#65019	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	#65001	C₂²	1	1	yes	characteristic, complemented
200	#64999	C₂²	1	1	yes	characteristic, complemented
201	#64998	C₂²	1	1	yes	characteristic, complemented
202	#64995	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	C₂×C₅×#41	C₂³	1	1	yes	characteristic
207	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
208	C₂²×C₂²⋊D₅	—	2	1	no	—
209	C₂²×C₂²⋊D₅	—	2	1	no	—
210	#4149	—	4	2	no	—
211	#4149	—	4	2	no	—
212	C₂×#713	C₂³	1	1	yes	characteristic
213	C₂×#713	C₂³	1	1	yes	characteristic
214	C₂×#711	C₂³	1	1	yes	characteristic, complemented
215	C₂×D₄×D₅	—	2	1	no	—
216	C₂×D₄×D₅	—	2	1	no	—
217	C₂×D₄×D₅	—	2	1	no	—
218	C₂×D₄×D₅	—	2	1	no	—
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	—	4	2	no	—
223	C₂×D₄×D₅	—	4	2	no	—
224	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
225	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
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×#709	—	2	1	no	—
231	C₂×#709	—	2	1	no	—
232	C₂×#709	C₂³	1	1	yes	characteristic
233	C₂×#709	C₂³	1	1	yes	characteristic, complemented
234	C₂²×D₂₀	—	2	1	no	—
235	C₂²×D₂₀	—	2	1	no	—
236	C₂²×D₂₀	C₂³	1	1	yes	characteristic
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×SD₁₆	C₂³	1	1	yes	characteristic, complemented
241	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
242	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
243	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic, complemented
244	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
245	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
246	C₅×#124	C₂³	1	1	yes	characteristic
247	C₅×#123	—	2	1	no	—
248	C₅×#123	—	2	1	no	—
249	C₅×#123	—	2	1	no	—
250	C₅×C₂²⋊Q₈	—	2	1	no	—
251	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
252	C₅×#121	—	2	1	no	—
253	C₅×#121	C₂³	1	1	yes	characteristic
254	C₅×#121	C₂³	1	1	yes	characteristic
255	C₅×#121	C₂³	1	1	yes	characteristic, complemented
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	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
263	#4099	—	2	1	no	—
264	#4096	—	4	2	no	—
265	#4093	—	2	1	no	—
266	#4093	C₂³	1	1	yes	characteristic
267	#4092	—	2	1	no	—
268	#4092	—	2	1	no	—
269	#4092	—	2	1	no	—
270	#4092	C₂³	1	1	yes	characteristic
271	C₂×#689	C₂³	1	1	yes	characteristic, complemented
272	C₂×#689	C₂³	1	1	yes	characteristic, complemented
273	C₂×#688	C₂³	1	1	yes	characteristic, complemented
274	#4086	—	2	1	no	—
275	#4086	C₂³	1	1	yes	characteristic
276	#4085	—	2	1	no	—
277	#4085	—	2	1	no	—
278	#4085	—	2	1	no	—
279	#4085	—	2	1	no	—
280	#4085	—	2	1	no	—
281	#4085	—	2	1	no	—
282	#4085	D₄	1	1	yes	characteristic
283	#4084	—	2	1	no	—
284	#4084	—	2	1	no	—
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	D₄	1	1	yes	characteristic
293	#4082	C₂³	1	1	yes	characteristic, complemented
294	D₄×Dic₅	—	2	1	no	—
295	D₄×Dic₅	C₂³	1	1	yes	characteristic
296	C₂×#687	—	4	2	no	—
297	C₂×#687	C₂³	1	1	yes	characteristic
298	C₂×#687	C₂³	1	1	yes	characteristic
299	C₂×#687	C₂³	1	1	yes	characteristic
300	C₂×#687	C₂³	1	1	yes	characteristic
301	C₂×#686	C₂³	1	1	yes	characteristic
302	C₂×#686	C₂³	1	1	yes	characteristic
303	C₂×#686	C₂³	1	1	yes	characteristic
304	C₂×#686	C₂³	1	1	yes	characteristic
305	C₂×#686	C₂³	1	1	yes	characteristic, complemented
306	#4076	—	2	1	no	—
307	#4076	—	2	1	no	—
308	#4076	—	2	1	no	—
309	#4076	—	2	1	no	—
310	#4076	C₂³	1	1	yes	characteristic
311	#4076	C₂³	1	1	yes	characteristic
312	#4076	C₂³	1	1	yes	characteristic
313	#4075	—	2	1	no	—
314	#4075	—	2	1	no	—
315	#4075	—	2	1	no	—
316	C₄×C₂²⋊D₅	—	2	1	no	—
317	C₄×C₂²⋊D₅	—	2	1	no	—
318	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
319	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
320	C₂×#685	—	2	1	no	—
321	C₂×#685	—	2	1	no	—
322	C₂×#685	—	2	1	no	—
323	C₂×#685	—	2	1	no	—
324	C₂×C₄⋊Dic₅	—	2	1	no	—
325	#4070	—	2	1	no	—
326	#4070	—	2	1	no	—
327	#4070	C₂³	1	1	yes	characteristic, complemented
328	C₂²×#168	C₂³	1	1	yes	characteristic
329	C₂²×#168	C₂³	1	1	yes	characteristic, complemented
330	#4062	—	4	2	no	—
331	#4057	—	4	2	no	—
332	D₅×D₈	—	4	2	no	—
333	D₅×D₈	—	4	2	no	—
334	#4054	—	4	2	no	—
335	C₂×D₄₀	C₂³	1	1	yes	characteristic
336	C₂×D₄₀	C₂³	1	1	yes	characteristic
337	C₂×D₄₀	C₂³	1	1	yes	characteristic, complemented
338	C₂×#677	—	4	2	no	—
339	C₂×#677	C₂³	1	1	yes	characteristic
340	C₂×#677	C₂³	1	1	yes	characteristic
341	C₂×#677	C₂³	1	1	yes	characteristic
342	C₂×#677	C₂³	1	1	yes	characteristic
343	C₂×#677	C₂³	1	1	yes	characteristic, complemented
344	C₂×#677	C₂³	1	1	yes	characteristic, complemented
345	C₂×#676	C₂³	1	1	yes	characteristic, complemented
346	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
347	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
348	C₂×C₈×D₅	C₂³	1	1	yes	characteristic, complemented
349	#4044	—	2	1	no	—
350	#4043	—	2	1	no	—
351	#4043	—	2	1	no	—
352	#4043	—	2	1	no	—
353	#4043	C₂³	1	1	yes	characteristic
354	#4043	C₂³	1	1	yes	characteristic
355	#4043	C₂³	1	1	yes	characteristic
356	#4043	C₂³	1	1	yes	characteristic
357	#4043	C₂³	1	1	yes	characteristic, complemented
358	#4042	—	2	1	no	—
359	#4042	—	2	1	no	—
360	#4042	—	2	1	no	—
361	#4042	D₄	1	1	yes	characteristic
362	#4041	—	2	1	no	—
363	#4041	—	2	1	no	—
364	#4041	—	2	1	no	—
365	#4041	C₂³	1	1	yes	characteristic
366	#4041	C₂³	1	1	yes	characteristic
367	#4041	C₂³	1	1	yes	characteristic
368	#4041	C₂³	1	1	yes	characteristic, complemented
369	#4040	—	2	1	no	—
370	#4040	—	2	1	no	—
371	#4040	—	2	1	no	—
372	#4040	—	2	1	no	—
373	#4040	D₄	1	1	yes	characteristic
374	#4039	—	2	1	no	—
375	#4039	—	2	1	no	—
376	#4039	C₂³	1	1	yes	characteristic
377	#4039	C₂³	1	1	yes	characteristic, complemented
378	#4038	C₂³	1	1	yes	characteristic
379	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
380	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
381	#4036	—	2	1	no	—
382	#4035	—	2	1	no	—
383	#4034	C₂³	1	1	yes	characteristic, complemented
384	#4033	C₂³	1	1	yes	characteristic, complemented
385	#4032	—	2	1	no	—
386	#4031	—	2	1	no	—
387	#4031	—	2	1	no	—
388	#4031	—	2	1	no	—
389	#4031	—	2	1	no	—
390	#4030	—	2	1	no	—
391	#4030	—	2	1	no	—
392	#4030	—	2	1	no	—
393	#4030	—	2	1	no	—
394	#4030	—	2	1	no	—
395	#4030	—	2	1	no	—
396	#4030	D₄	1	1	yes	characteristic
397	#4029	—	2	1	no	—
398	#4029	—	2	1	no	—
399	#4029	D₄	1	1	yes	characteristic
400	#4028	—	2	1	no	—
401	#4028	—	2	1	no	—
402	#4028	—	2	1	no	—
403	#4028	—	2	1	no	—
404	#4028	—	2	1	no	—
405	#4028	—	2	1	no	—
406	#4028	—	2	1	no	—
407	#4028	—	2	1	no	—
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, complemented
426	#4020	C₂³	1	1	yes	characteristic
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×#106	C₂³	1	1	yes	characteristic, complemented
432	C₅×#106	C₂³	1	1	yes	characteristic, complemented
433	C₅×#106	C₂³	1	1	yes	characteristic, complemented
434	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
435	C₅×#103	C₂³	1	1	yes	characteristic, complemented
436	C₅×#103	C₂³	1	1	yes	characteristic, complemented
437	C₅×#103	C₂³	1	1	yes	characteristic, complemented
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
442	C₅×#102	C₂³	1	1	yes	characteristic
443	C₅×#102	C₂³	1	1	yes	characteristic
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	C₅×#97	C₂³	1	1	yes	characteristic, complemented
448	#3967	C₂³	1	1	yes	characteristic, complemented
449	#3964	C₂³	1	1	yes	characteristic
450	#3964	C₂³	1	1	yes	characteristic
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	#3953	C₂³	1	1	yes	characteristic, complemented
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, complemented
465	#3952	C₂³	1	1	yes	characteristic, complemented
466	#3950	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	#3941	C₂³	1	1	yes	characteristic
476	#3941	C₂³	1	1	yes	characteristic
477	#3941	C₂³	1	1	yes	characteristic
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, complemented
482	#3941	C₂³	1	1	yes	characteristic, complemented
483	#3941	C₂³	1	1	yes	characteristic, complemented
484	#3941	C₂³	1	1	yes	characteristic, complemented
485	#3940	C₂³	1	1	yes	characteristic, complemented
486	#3939	C₂³	1	1	yes	characteristic, complemented
487	#3939	C₂³	1	1	yes	characteristic, complemented
488	#3939	C₂³	1	1	yes	characteristic, complemented
489	C₄⋊#168	C₂³	1	1	yes	characteristic, complemented
490	C₄×#168	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	D₅	1	1	yes	characteristic, complemented
497	#3295	—	5	1	no	—
498	#3295	—	5	1	no	—
499	#3294	—	5	1	no	—
500	#3294	—	5	1	no	—
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	C₂³×D₅	—	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	—	2	2	no	—
536	C₅×#41	—	4	1	no	—
537	C₅×#41	—	8	2	no	—
538	C₂×C₅×Q₈	—	2	1	no	—
539	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
540	C₂×C₅×D₄	—	2	2	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	—	4	1	no	—
547	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
548	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
549	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
550	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₅	—	2	1	no	—
552	C₂²×C₄×C₅	—	2	1	no	—
553	C₂²×C₄×C₅	—	2	1	no	—
554	C₂²×C₄×C₅	—	2	1	no	—
555	C₂²×C₄×C₅	—	2	1	no	—
556	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
558	C₂×C₂²⋊D₅	—	2	1	no	—
559	C₂×C₂²⋊D₅	—	2	1	no	—
560	C₂×C₂²⋊D₅	—	2	1	no	—
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	—	4	4	no	—
574	C₂×C₂²⋊D₅	—	8	2	no	—
575	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
576	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
577	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
578	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
579	C₂²×Dic₅	—	2	1	no	—
580	C₂²×Dic₅	—	2	1	no	—
581	C₂²×Dic₅	—	2	1	no	—
582	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
583	#713	—	2	2	no	—
584	#713	—	4	1	no	—
585	#713	—	4	1	no	—
586	#713	—	4	1	no	—
587	#711	—	4	1	no	—
588	#711	—	4	1	no	—
589	D₄×D₅	—	2	2	no	—
590	D₄×D₅	—	2	2	no	—
591	D₄×D₅	—	2	2	no	—
592	D₄×D₅	—	2	2	no	—
593	D₄×D₅	—	2	2	no	—
594	D₄×D₅	—	4	1	no	—
595	D₄×D₅	—	4	1	no	—
596	D₄×D₅	—	4	1	no	—
597	D₄×D₅	—	4	1	no	—
598	D₄×D₅	—	4	1	no	—
599	D₄×D₅	—	4	1	no	—
600	D₄×D₅	—	4	1	no	—
601	D₄×D₅	—	4	4	no	—
602	D₄×D₅	—	4	4	no	—
603	D₄×D₅	—	4	4	no	—
604	D₄×D₅	—	4	4	no	—
605	D₄×D₅	—	8	2	no	—
606	D₄×D₅	—	8	2	no	—
607	D₄×D₅	—	8	2	no	—
608	#709	—	4	1	no	—
609	#709	—	4	1	no	—
610	#709	—	4	1	no	—
611	#709	—	4	1	no	—
612	#709	—	4	4	no	—
613	#709	—	8	2	no	—
614	C₂×D₂₀	—	2	2	no	—
615	C₂×D₂₀	—	2	2	no	—
616	C₂×D₂₀	—	2	1	no	—
617	C₂×D₂₀	—	2	1	no	—
618	C₂×D₂₀	—	2	1	no	—
619	C₂×D₂₀	—	2	1	no	—
620	C₂×D₂₀	—	2	1	no	—
621	C₂×D₂₀	—	2	1	no	—
622	C₂×D₂₀	—	2	1	no	—
623	C₂×D₂₀	—	2	1	no	—
624	C₂×D₂₀	—	2	1	no	—
625	C₂×D₂₀	—	2	1	no	—
626	C₂×D₂₀	—	4	1	no	—
627	C₂×D₂₀	—	4	1	no	—
628	C₂×D₂₀	—	4	4	no	—
629	C₂×D₂₀	—	8	2	no	—
630	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
631	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
632	C₂×D₂₀	C₂⁴	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	—	2	1	no	—
644	C₂×C₄×D₅	—	4	1	no	—
645	C₂×C₄×D₅	—	4	1	no	—
646	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
647	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
648	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
649	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
650	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
651	C₂×Dic₁₀	—	2	1	no	—
652	C₂×Dic₁₀	—	2	1	no	—
653	C₂×Dic₁₀	—	4	1	no	—
654	C₂×Dic₁₀	—	4	1	no	—
655	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
656	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
657	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
658	C₅×SD₁₆	—	4	1	no	—
659	C₅×D₈	—	2	2	no	—
660	C₅×D₈	—	4	1	no	—
661	C₅×M₁₆	—	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	—	2	1	no	—
671	C₅×C₄⋊C₄	C₂×D₄	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×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
682	C₅×C₂²⋊C₄	—	2	1	no	—
683	C₅×C₂²⋊C₄	—	2	1	no	—
684	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
685	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
686	C₄²×C₅	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
694	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
695	#689	—	4	1	no	—
696	#689	—	4	1	no	—
697	#688	—	4	1	no	—
698	#687	—	2	2	no	—
699	#687	—	2	2	no	—
700	#687	—	4	1	no	—
701	#687	—	4	1	no	—
702	#686	—	2	2	no	—
703	#686	—	2	2	no	—
704	#686	—	4	1	no	—
705	#686	—	4	1	no	—
706	#686	—	4	1	no	—
707	#685	—	2	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	—	2	1	no	—
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	#685	C₂×D₄	1	1	yes	characteristic
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	C₂×#168	—	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	D₄₀	—	2	2	no	—
764	D₄₀	—	4	1	no	—
765	D₄₀	—	4	1	no	—
766	#677	—	2	2	no	—
767	#677	—	2	2	no	—
768	#677	—	4	1	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	—	10	1	no	—
800	#546	—	10	1	no	—
801	#546	—	10	1	no	—
802	#546	—	10	1	no	—
803	#546	C₂×D₅	1	1	yes	characteristic, complemented
804	D₄²	—	5	1	no	—
805	D₄²	—	5	1	no	—
806	D₄²	—	5	1	no	—
807	D₄²	—	5	1	no	—
808	D₄²	—	10	1	no	—
809	D₄²	—	10	1	no	—
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	C₂×D₅	1	1	yes	characteristic, complemented
835	#486	—	5	1	no	—
836	#486	—	5	1	no	—
837	#485	—	5	1	no	—
838	#485	—	5	1	no	—
839	#484	—	5	1	no	—
840	#483	C₂×D₅	1	1	yes	characteristic, complemented
841	#482	—	5	1	no	—
842	#482	—	5	1	no	—
843	#481	—	5	1	no	—
844	#481	—	5	1	no	—
845	#481	C₂×D₅	1	1	yes	characteristic, complemented
846	#480	—	5	1	no	—
847	#480	—	5	1	no	—
848	#480	—	5	1	no	—
849	#476	—	5	1	no	—
850	#476	C₂×D₅	1	1	yes	characteristic, complemented
851	#474	—	5	1	no	—
852	#474	—	5	1	no	—
853	#469	—	5	1	no	—
854	#469	C₂×D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
862	#466	—	5	1	no	—
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	C₂×D₅	1	1	yes	characteristic, complemented
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	C₂×D₅	1	1	yes	characteristic, complemented
877	#460	—	5	1	no	—
878	#460	—	5	1	no	—
879	#459	—	5	1	no	—
880	#459	—	5	1	no	—
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	C₂×D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
916	#447	C₂×D₅	1	1	yes	characteristic, complemented
917	#442	—	5	1	no	—
918	#442	C₂×D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
925	#435	—	5	1	no	—
926	#435	—	5	1	no	—
927	#435	—	5	1	no	—
928	#435	C₂×D₅	1	1	yes	characteristic, complemented
929	C₈×D₄	—	5	1	no	—
930	C₈×D₄	—	5	1	no	—
931	C₈×D₄	—	5	1	no	—
932	C₈×D₄	—	5	1	no	—
933	#433	—	5	1	no	—
934	#433	—	5	1	no	—
935	#417	—	5	1	no	—
936	#417	C₂×D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
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	—	4	2	no	—
951	C₂³×C₅	—	4	2	no	—
952	C₂³×C₅	—	8	1	no	—
953	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
954	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
955	C₂²×D₅	—	2	2	no	—
956	C₂²×D₅	—	2	1	no	—
957	C₂²×D₅	—	2	4	no	—
958	C₂²×D₅	—	2	2	no	—
959	C₂²×D₅	—	2	1	no	—
960	C₂²×D₅	—	2	1	no	—
961	C₂²×D₅	—	2	1	no	—
962	C₂²×D₅	—	4	1	no	—
963	C₂²×D₅	—	4	2	no	—
964	C₂²×D₅	—	4	2	no	—
965	C₂²×D₅	—	4	2	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	—	8	1	no	—
974	C₂²×D₅	—	8	1	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	—	2	1	no	—
991	C₅×Q₈	—	2	1	no	—
992	C₅×Q₈	—	8	1	no	—
993	C₅×D₄	—	2	2	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	—	8	1	no	—
1003	C₅×D₄	—	8	1	no	—
1004	C₅×D₄	H(5,𝔽₂)	1	2	yes	—
1005	C₂×C₄×C₅	—	2	1	no	—
1006	C₂×C₄×C₅	—	2	1	no	—
1007	C₂×C₄×C₅	—	2	1	no	—
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	—	4	2	no	—
1015	C₂×C₄×C₅	—	4	2	no	—
1016	C₂×C₄×C₅	—	8	1	no	—
1017	C₂×C₄×C₅	—	8	1	no	—
1018	C₂×C₄×C₅	—	8	1	no	—
1019	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
1024	C₂²⋊D₅	—	2	4	no	—
1025	C₂²⋊D₅	—	2	2	no	—
1026	C₂²⋊D₅	—	2	2	no	—
1027	C₂²⋊D₅	—	4	1	no	—
1028	C₂²⋊D₅	—	4	1	no	—
1029	C₂²⋊D₅	—	4	2	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	—	8	1	no	—
1036	C₂²⋊D₅	—	8	1	no	—
1037	C₂²⋊D₅	—	8	1	no	—
1038	C₂²⋊D₅	—	8	1	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	C₂×Dic₅	—	2	1	no	—
1044	C₂×Dic₅	—	2	1	no	—
1045	C₂×Dic₅	—	2	1	no	—
1046	C₂×Dic₅	—	2	1	no	—
1047	C₂×Dic₅	—	4	1	no	—
1048	C₂×Dic₅	—	8	1	no	—
1049	C₂×Dic₅	—	8	1	no	—
1050	C₂×Dic₅	—	8	1	no	—
1051	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1052	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1053	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1054	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1055	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1056	D₂₀	—	2	2	no	—
1057	D₂₀	—	2	1	no	—
1058	D₂₀	—	2	1	no	—
1059	D₂₀	—	2	1	no	—
1060	D₂₀	—	2	1	no	—
1061	D₂₀	—	2	1	no	—
1062	D₂₀	—	2	1	no	—
1063	D₂₀	—	2	1	no	—
1064	D₂₀	—	4	1	no	—
1065	D₂₀	—	4	2	no	—
1066	D₂₀	—	4	2	no	—
1067	D₂₀	—	4	2	no	—
1068	D₂₀	—	4	2	no	—
1069	D₂₀	—	4	2	no	—
1070	D₂₀	—	8	1	no	—
1071	D₂₀	—	8	1	no	—
1072	D₂₀	—	8	1	no	—
1073	D₂₀	—	8	1	no	—
1074	D₂₀	—	8	1	no	—
1075	D₂₀	H(5,𝔽₂)	1	2	yes	—
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	—	2	1	no	—
1082	C₄×D₅	—	4	1	no	—
1083	C₄×D₅	—	4	1	no	—
1084	C₄×D₅	—	4	2	no	—
1085	C₄×D₅	—	4	2	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	C₄×D₅	—	8	1	no	—
1091	C₄×D₅	—	8	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	—	10	1	no	—
1117	C₂×#41	—	10	1	no	—
1118	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1119	C₂²×Q₈	—	5	1	no	—
1120	C₂²×D₄	—	5	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	—	10	1	no	—
1139	C₂²×D₄	—	20	2	no	—
1140	C₂²×D₄	—	20	2	no	—
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	—	20	2	no	—
1161	C₂×SD₁₆	—	20	2	no	—
1162	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
1171	C₂×D₈	—	20	2	no	—
1172	C₂×D₈	—	20	2	no	—
1173	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1174	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1175	C₂×M₁₆	—	5	1	no	—
1176	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
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	C₂²×D₅	1	1	yes	characteristic
1183	C₄⋊Q₈	—	5	1	no	—
1184	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1185	#127	—	5	1	no	—
1186	#127	—	5	1	no	—
1187	#127	—	10	1	no	—
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	—	10	1	no	—
1196	#124	—	10	1	no	—
1197	#124	—	10	1	no	—
1198	#124	—	10	1	no	—
1199	#124	—	10	1	no	—
1200	#124	C₂²×D₅	1	1	yes	characteristic
1201	#123	—	2	1	no	—
1202	#123	—	2	1	no	—
1203	#123	—	2	1	no	—
1204	#123	—	5	1	no	—
1205	#123	—	5	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	—	10	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	C₂²×D₅	1	1	yes	characteristic
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	—	5	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	—	10	1	no	—
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	—	5	1	no	—
1278	#120	—	5	1	no	—
1279	#120	—	10	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	—	2	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	—	5	1	no	—
1336	#107	—	5	1	no	—
1337	#107	—	5	1	no	—
1338	#106	—	5	1	no	—
1339	#106	C₂²×D₅	1	1	yes	characteristic, complemented
1340	#106	C₂²×D₅	1	1	yes	characteristic, complemented
1341	#106	C₂²×D₅	1	1	yes	characteristic, complemented
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	C₂²×D₅	1	1	yes	characteristic, complemented
1352	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1353	#103	C₂²×D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
1369	#102	—	5	1	no	—
1370	#102	—	5	1	no	—
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
1375	#102	C₂²×D₅	1	1	yes	characteristic
1376	#102	C₂²×D₅	1	1	yes	characteristic
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	C₂²×D₅	1	1	yes	characteristic, complemented
1392	C₄×C₈	—	5	1	no	—
1393	C₄×C₈	—	5	1	no	—
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	—	8	4	no	—
1409	C₂²×C₅	#576	1	2	yes	—
1410	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
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	2	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	—	4	4	no	—
1421	C₂×D₅	—	4	1	no	—
1422	C₂×D₅	—	4	1	no	—
1423	C₂×D₅	—	4	1	no	—
1424	C₂×D₅	—	4	1	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	—	8	4	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	—	16	2	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	—	4	1	no	—
1450	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1451	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1452	Dic₅	—	2	1	no	—
1453	Dic₅	—	2	1	no	—
1454	Dic₅	—	2	1	no	—
1455	Dic₅	—	2	1	no	—
1456	Dic₅	—	2	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	—	5	1	no	—
1463	C₂⁴	—	10	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	—	2	2	no	—
1475	#41	—	4	1	no	—
1476	#41	—	8	2	no	—
1477	#41	—	10	2	no	—
1478	#41	—	20	1	no	—
1479	#41	—	20	1	no	—
1480	#41	—	20	1	no	—
1481	#41	—	20	1	no	—
1482	#41	—	20	4	no	—
1483	#41	—	20	1	no	—
1484	#41	—	20	1	no	—
1485	#41	—	20	1	no	—
1486	#41	—	20	1	no	—
1487	#41	—	20	1	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	—	10	1	no	—
1494	C₂×Q₈	—	10	1	no	—
1495	C₂×Q₈	—	20	1	no	—
1496	C₂×Q₈	—	20	1	no	—
1497	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1498	C₂×D₄	—	2	2	no	—
1499	C₂×D₄	—	2	1	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	—	4	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	—	10	2	no	—
1516	C₂×D₄	—	10	2	no	—
1517	C₂×D₄	—	10	1	no	—
1518	C₂×D₄	—	10	1	no	—
1519	C₂×D₄	—	10	1	no	—
1520	C₂×D₄	—	10	1	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	2	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	1	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	—	20	1	no	—
1548	C₂×D₄	—	20	1	no	—
1549	C₂×D₄	—	20	4	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	1	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	—	40	2	no	—
1567	C₂×D₄	D₄×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	—	2	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	—	5	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	—	4	1	no	—
1600	SD₁₆	—	10	2	no	—
1601	SD₁₆	—	10	2	no	—
1602	SD₁₆	—	10	2	no	—
1603	SD₁₆	—	10	2	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	—	10	2	no	—
1614	D₈	—	10	2	no	—
1615	D₈	—	10	2	no	—
1616	D₈	—	20	1	no	—
1617	D₈	—	20	1	no	—
1618	D₈	—	20	1	no	—
1619	D₈	—	20	1	no	—
1620	D₈	—	20	1	no	—
1621	M₁₆	—	4	1	no	—
1622	M₁₆	—	20	1	no	—
1623	C₂×C₈	—	4	1	no	—
1624	C₂×C₈	—	5	1	no	—
1625	C₂×C₈	—	5	1	no	—
1626	C₂×C₈	—	5	1	no	—
1627	C₂×C₈	—	5	1	no	—
1628	C₂×C₈	—	20	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	—	2	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	—	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	—	2	1	no	—
1672	C₂²⋊C₄	—	2	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	—	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	#3484	1	1	yes	characteristic
1721	C₂×C₅	C₂×#576	1	1	yes	characteristic
1722	C₂×C₅	C₂×#577	1	1	yes	characteristic
1723	D₅	—	2	2	no	—
1724	D₅	—	4	1	no	—
1725	D₅	—	4	1	no	—
1726	D₅	—	4	2	no	—
1727	D₅	—	8	1	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	—	4	2	no	—
1734	C₂³	—	4	2	no	—
1735	C₂³	—	5	1	no	—
1736	C₂³	—	5	1	no	—
1737	C₂³	—	5	1	no	—
1738	C₂³	—	8	1	no	—
1739	C₂³	—	10	2	no	—
1740	C₂³	—	10	4	no	—
1741	C₂³	—	10	2	no	—
1742	C₂³	—	10	1	no	—
1743	C₂³	—	10	1	no	—
1744	C₂³	—	10	1	no	—
1745	C₂³	—	10	1	no	—
1746	C₂³	—	20	1	no	—
1747	C₂³	—	20	2	no	—
1748	C₂³	—	20	2	no	—
1749	C₂³	—	20	2	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	—	40	1	no	—
1758	C₂³	—	40	1	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	—	2	1	no	—
1774	Q₈	—	2	1	no	—
1775	Q₈	—	8	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	—	4	2	no	—
1790	D₄	—	4	2	no	—
1791	D₄	—	4	2	no	—
1792	D₄	—	5	2	no	—
1793	D₄	—	8	1	no	—
1794	D₄	—	8	1	no	—
1795	D₄	—	10	2	no	—
1796	D₄	—	10	2	no	—
1797	D₄	—	10	4	no	—
1798	D₄	—	10	2	no	—
1799	D₄	—	10	1	no	—
1800	D₄	—	10	1	no	—
1801	D₄	—	10	1	no	—
1802	D₄	—	10	1	no	—
1803	D₄	—	10	1	no	—
1804	D₄	—	10	1	no	—
1805	D₄	—	10	1	no	—
1806	D₄	—	20	1	no	—
1807	D₄	—	20	2	no	—
1808	D₄	—	20	2	no	—
1809	D₄	—	20	2	no	—
1810	D₄	—	20	2	no	—
1811	D₄	—	20	2	no	—
1812	D₄	—	20	1	no	—
1813	D₄	—	20	1	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	—	40	1	no	—
1821	D₄	—	40	1	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	—	2	1	no	—
1843	C₂×C₄	—	4	2	no	—
1844	C₂×C₄	—	4	2	no	—
1845	C₂×C₄	—	5	1	no	—
1846	C₂×C₄	—	5	1	no	—
1847	C₂×C₄	—	5	1	no	—
1848	C₂×C₄	—	5	1	no	—
1849	C₂×C₄	—	5	1	no	—
1850	C₂×C₄	—	8	1	no	—
1851	C₂×C₄	—	8	1	no	—
1852	C₂×C₄	—	8	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	—	10	1	no	—
1863	C₂×C₄	—	20	1	no	—
1864	C₂×C₄	—	20	1	no	—
1865	C₂×C₄	—	20	2	no	—
1866	C₂×C₄	—	20	2	no	—
1867	C₂×C₄	—	20	1	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	2	no	—
1895	C₂²	—	2	1	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	—	5	2	no	—
1906	C₂²	—	8	4	no	—
1907	C₂²	—	10	1	no	—
1908	C₂²	—	10	1	no	—
1909	C₂²	—	10	1	no	—
1910	C₂²	—	10	1	no	—
1911	C₂²	—	10	2	no	—
1912	C₂²	—	10	1	no	—
1913	C₂²	—	10	1	no	—
1914	C₂²	—	10	1	no	—
1915	C₂²	—	10	1	no	—
1916	C₂²	—	20	4	no	—
1917	C₂²	—	20	1	no	—
1918	C₂²	—	20	1	no	—
1919	C₂²	—	20	1	no	—
1920	C₂²	—	20	1	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	—	40	4	no	—
1929	C₂²	—	40	4	no	—
1930	C₂²	—	40	4	no	—
1931	C₂²	—	40	4	no	—
1932	C₂²	—	40	4	no	—
1933	C₂²	—	80	2	no	—
1934	C₂²	—	80	2	no	—
1935	C₂²	—	80	2	no	—
1936	C₂²	#66108	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	—	4	1	no	—
1947	C₄	—	10	1	no	—
1948	C₄	—	10	1	no	—
1949	C₄	—	10	1	no	—
1950	C₄	—	10	1	no	—
1951	C₄	—	10	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	—	10	2	no	—
1964	C₂	—	20	1	no	—
1965	C₂	—	20	1	no	—
1966	C₂	—	20	2	no	—
1967	C₂	—	40	1	no	—
1968	C₂	—	40	1	no	—
1969	C₂	—	40	1	no	—
1970	C₂	#10618563	1	1	yes	characteristic
1971	C₂	C₂×#66108	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×#3306	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3306	D₅
hypocenter	C₅	#61629
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3306

Complements

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

N	H ≅ G/N	type
1. #10618606	C₂	semidirect
2. #10618563	C₂	semidirect
3. C₅×#3306	C₂	semidirect
4. #10615256	C₂	semidirect
5. #10615240	C₂	semidirect
6. #10613431	C₂	semidirect
7. #10613419	C₂	semidirect
8. #10613179	C₂	semidirect
9. #10613177	C₂	semidirect
10. #10613073	C₂	semidirect
11. #10613061	C₂	semidirect
12. #10612806	C₂	semidirect
13. #10612779	C₂	semidirect
14. #10612612	C₂	semidirect
15. #10612602	C₂	semidirect
16. #10612408	C₂	semidirect
17. #10612395	C₂	semidirect
18. #10612288	C₂	semidirect
19. #10612277	C₂	semidirect
20. #10611832	C₂	semidirect
21. #10611818	C₂	semidirect
22. #10611756	C₂	semidirect
23. D₅×#447	C₂	semidirect
24. #10611617	C₂	semidirect
25. #10611609	C₂	semidirect
26. #10611225	C₂	semidirect
27. #10611220	C₂	semidirect
28. #10610629	C₂	semidirect
29. #10610617	C₂	semidirect
30. #10610488	C₂	semidirect
31. C₂×#65065	C₂	semidirect
32. C₂×#4149	C₂²	semidirect
34. C₅×#547	C₂²	semidirect
35. C₅×#546	C₂²	semidirect
39. C₂×#4096	C₂²	semidirect
40. D₄×C₂²⋊D₅	C₂²	semidirect
41. C₂²×#687	C₂²	semidirect
42. C₂×#4062	C₂²	semidirect
43. C₂×#4057	C₂²	semidirect
44. C₂×D₅×D₈	C₂²	semidirect
45. C₂×D₅×D₈	C₂²	semidirect
46. C₂×#4054	C₂²	semidirect
47. C₂²×#677	C₂²	semidirect
48. #66067	C₂²	semidirect
49. #66064	C₂²	semidirect
51. #66008	C₂²	semidirect
60. #65964	C₂²	semidirect
62. #65946	C₂²	semidirect
65. #65942	C₂²	semidirect
66. #65941	C₂²	semidirect
68. D₅×#121	C₂²	semidirect
69. #65932	C₂²	semidirect
72. #65895	C₂²	semidirect
73. #65888	C₂²	semidirect
74. #65886	C₂²	semidirect
76. D₄×D₂₀	C₂²	semidirect
78. #65879	C₂²	semidirect
79. #65845	C₂²	semidirect
80. #65844	C₂²	semidirect
81. C₂×#4043	C₂²	semidirect
82. #65841	C₂²	semidirect
85. C₅×#489	C₂²	semidirect
86. C₅×#483	C₂²	semidirect
87. C₅×#481	C₂²	semidirect
88. C₅×#476	C₂²	semidirect
89. C₅×#469	C₂²	semidirect
90. C₅×#465	C₂²	semidirect
91. C₅×#463	C₂²	semidirect
92. C₅×#449	C₂²	semidirect
93. C₅×#447	C₂²	semidirect
94. C₅×#442	C₂²	semidirect
95. C₅×#435	C₂²	semidirect
96. C₅×#417	C₂²	semidirect
97. C₂×C₅×#102	C₂²	semidirect
98. #65528	C₂²	semidirect
99. #65506	C₂²	semidirect
100. #65461	C₂²	semidirect
101. #65458	C₂²	semidirect
102. #65457	C₂²	semidirect
103. #65447	C₂²	semidirect
105. #65445	C₂²	semidirect
106. #65443	C₂²	semidirect
107. #65442	C₂²	semidirect
108. #65423	C₂²	semidirect
109. #65418	C₂²	semidirect
110. #65416	C₂²	semidirect
111. #65404	C₂²	semidirect
112. C₈×C₂²⋊D₅	C₂²	semidirect
113. C₂×#3952	C₂²	semidirect
114. #65377	C₂²	semidirect
115. #65376	C₂²	semidirect
116. #65348	C₂²	semidirect
117. #65343	C₂²	semidirect
118. #65339	C₂²	semidirect
119. #65337	C₂²	semidirect
120. #65330	C₂²	semidirect
121. #65327	C₂²	semidirect
122. #65327	C₂²	semidirect
123. #65326	C₂²	semidirect
124. #65325	C₂²	semidirect
125. #65325	C₂²	semidirect
126. C₄×#687	C₂²	semidirect
127. #65305	C₂²	semidirect
128. #65304	C₂²	semidirect
129. C₄×#686	C₂²	semidirect
130. D₄×#168	C₂²	semidirect
131. #65256	C₂²	semidirect
132. #65256	C₂²	semidirect
133. C₂×#3941	C₂²	semidirect
134. C₂×#3941	C₂²	semidirect
135. #65159	C₂²	semidirect
136. #65158	C₂²	semidirect
137. #65156	C₂²	semidirect
138. #65156	C₂²	semidirect
139. #65155	C₂²	semidirect
140. #65154	C₂²	semidirect
141. #65153	C₂²	semidirect
142. #65153	C₂²	semidirect
143. #65153	C₂²	semidirect
144. #65152	C₂²	semidirect
145. #65152	C₂²	semidirect
146. #65141	C₂²	semidirect
147. #65137	C₂²	semidirect
148. #65133	C₂²	semidirect
149. #65129	C₂²	semidirect
150. #65123	C₂²	semidirect
151. #65108	C₂²	semidirect
152. #65102	C₂²	semidirect
153. #65102	C₂²	semidirect
154. #65100	C₂²	semidirect
155. #65100	C₂²	semidirect
156. #65099	C₂²	semidirect
157. #65099	C₂²	semidirect
158. #65099	C₂²	semidirect
159. #65098	C₂²	semidirect
160. #65092	C₂²	semidirect
161. #65087	C₂²	semidirect
162. #65084	C₂²	semidirect
163. #65076	C₂²	semidirect
164. #65075	C₂²	semidirect
165. #65073	C₂²	semidirect
166. #65070	C₂²	semidirect
167. #65069	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. #65064	C₂²	semidirect
178. #65063	C₂²	semidirect
180. #65062	C₂²	semidirect
181. #65062	C₂²	semidirect
182. #65062	C₂²	semidirect
183. D₅×#102	C₂²	semidirect
184. D₅×#102	C₂²	semidirect
185. D₅×#102	C₂²	semidirect
186. #65051	C₂²	semidirect
187. #65049	C₂²	semidirect
188. #65048	C₂²	semidirect
189. #65046	C₂²	semidirect
190. #65045	C₂²	semidirect
191. #65027	C₂²	semidirect
192. #65023	C₂²	semidirect
193. #65021	C₂²	semidirect
194. #65020	C₂²	semidirect
195. #65019	C₂²	semidirect
196. #65016	C₂²	semidirect
197. #65014	C₂²	semidirect
198. D₅×C₂²⋊C₈	C₂²	semidirect
199. #65001	C₂²	semidirect
200. #64999	C₂²	semidirect
201. #64998	C₂²	semidirect
202. #64995	C₂²	semidirect
214. C₂×#711	C₂³	semidirect
233. C₂×#709	C₂³	semidirect
240. C₂×C₅×SD₁₆	C₂³	semidirect
243. C₂×C₅×M₁₆	C₂³	semidirect
245. C₅×C₄⋊Q₈	C₂³	semidirect
255. C₅×#121	C₂³	semidirect
259. C₄×C₅×D₄	C₂³	semidirect
261. C₂×C₅×C₄⋊C₄	C₂³	semidirect
271. C₂×#689	C₂³	semidirect
272. C₂×#689	C₂³	semidirect
273. C₂×#688	C₂³	semidirect
293. #4082	C₂³	semidirect
305. C₂×#686	C₂³	semidirect
327. #4070	C₂³	semidirect
329. C₂²×#168	C₂³	semidirect
337. C₂×D₄₀	C₂³	semidirect
343. C₂×#677	C₂³	semidirect
344. C₂×#677	C₂³	semidirect
345. C₂×#676	C₂³	semidirect
348. C₂×C₈×D₅	C₂³	semidirect
357. #4043	C₂³	semidirect
368. #4041	C₂³	semidirect
377. #4039	C₂³	semidirect
380. D₅×C₄⋊C₄	C₂³	semidirect
383. #4034	C₂³	semidirect
384. #4033	C₂³	semidirect
425. #4021	C₂³	semidirect
430. C₄×Dic₁₀	C₂³	semidirect
431. C₅×#106	C₂³	semidirect
432. C₅×#106	C₂³	semidirect
433. C₅×#106	C₂³	semidirect
434. C₅×C₄⋊C₈	C₂³	semidirect
435. C₅×#103	C₂³	semidirect
436. C₅×#103	C₂³	semidirect
437. C₅×#103	C₂³	semidirect
444. C₅×#102	C₂³	semidirect
446. C₅×C₂²⋊C₈	C₂³	semidirect
447. C₅×#97	C₂³	semidirect
448. #3967	C₂³	semidirect
451. #3964	C₂³	semidirect
453. C₂²⋊#168	C₂³	semidirect
456. #3953	C₂³	semidirect
457. #3953	C₂³	semidirect
464. #3952	C₂³	semidirect
465. #3952	C₂³	semidirect
466. #3950	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
481. #3941	C₂³	semidirect
482. #3941	C₂³	semidirect
483. #3941	C₂³	semidirect
484. #3941	C₂³	semidirect
485. #3940	C₂³	semidirect
486. #3939	C₂³	semidirect
487. #3939	C₂³	semidirect
488. #3939	C₂³	semidirect
489. C₄⋊#168	C₂³	semidirect
490. C₄×#168	C₂³	semidirect
496. #3306	D₅	semidirect
793. #547	C₂×D₅	semidirect
803. #546	C₂×D₅	semidirect
834. #489	C₂×D₅	semidirect
840. #483	C₂×D₅	semidirect
845. #481	C₂×D₅	semidirect
850. #476	C₂×D₅	semidirect
854. #469	C₂×D₅	semidirect
868. #465	C₂×D₅	semidirect
876. #463	C₂×D₅	semidirect
904. #449	C₂×D₅	semidirect
916. #447	C₂×D₅	semidirect
918. #442	C₂×D₅	semidirect
928. #435	C₂×D₅	semidirect
936. #417	C₂×D₅	semidirect
942. C₂×#102	C₂×D₅	semidirect
1162. C₂×SD₁₆	C₂²×D₅	semidirect
1176. C₂×M₁₆	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
1339. #106	C₂²×D₅	semidirect
1340. #106	C₂²×D₅	semidirect
1341. #106	C₂²×D₅	semidirect
1345. C₄⋊C₈	C₂²×D₅	semidirect
1351. #103	C₂²×D₅	semidirect
1352. #103	C₂²×D₅	semidirect
1353. #103	C₂²×D₅	semidirect
1377. #102	C₂²×D₅	semidirect
1389. C₂²⋊C₈	C₂²×D₅	semidirect
1391. #97	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
#10618563	2
C₅×#3306	2
#10615256	2
#10615240	2
#10613431	2
#10613419	2
#10613179	2
#10613177	2
#10613073	2
#10613061	2
#10612806	2
#10612779	2
#10612612	2
#10612602	2
#10612408	2
#10612395	2
#10612288	2
#10612277	2
#10611832	2
#10611818	2
#10611756	2
D₅×#447	2
#10611617	2
#10611609	2
#10611225	2
#10611220	2
#10610629	2
#10610617	2
#10610488	2
C₂×#65065	2
#61629	5