Subgroups — #12976512

Order 1280.

2286 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618761	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618521	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3310	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615329	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615213	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613458	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613445	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613113	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613106	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613033	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613013	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612918	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612899	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612554	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612540	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612416	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612387	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612126	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612117	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611890	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611889	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611880	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611877	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611533	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611506	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611230	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611209	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610667	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610656	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610492	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×D₅×#102	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#4144	C₂²	1	1	yes	characteristic
33	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
34	C₅×#552	C₂²	1	1	yes	characteristic, complemented
35	C₅×D₄²	C₂²	1	1	yes	characteristic
36	#66140	C₂²	1	1	yes	characteristic
37	D₄×C₂²⋊D₅	—	2	1	no	—
38	D₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
39	C₂×#4083	—	2	1	no	—
40	C₂×#4062	C₂²	1	1	yes	characteristic, complemented
41	C₂×#4060	C₂²	1	1	yes	characteristic
42	C₂×#4060	C₂²	1	1	yes	characteristic, complemented
43	C₂×#4053	C₂²	1	1	yes	characteristic, complemented
44	C₂²×C₈×D₅	C₂²	1	1	yes	characteristic, complemented
45	#66051	C₂²	1	1	yes	characteristic
46	#66049	C₂²	1	1	yes	characteristic
47	#66043	—	2	1	no	—
48	#66041	—	2	1	no	—
49	#66029	C₂²	1	1	yes	characteristic, complemented
50	#66026	—	2	1	no	—
51	#66024	—	2	1	no	—
52	#66023	C₂²	1	1	yes	characteristic, complemented
53	#65990	—	2	1	no	—
54	#65989	—	2	1	no	—
55	#65976	C₂²	1	1	yes	characteristic, complemented
56	#65969	C₂²	1	1	yes	characteristic, complemented
57	#65963	C₂²	1	1	yes	characteristic, complemented
58	#65961	C₂²	1	1	yes	characteristic, complemented
59	#65946	C₂²	1	1	yes	characteristic
60	#65944	—	2	1	no	—
61	#65943	C₂²	1	1	yes	characteristic
62	#65941	C₂²	1	1	yes	characteristic
63	#65940	C₂²	1	1	yes	characteristic
64	#65939	—	2	1	no	—
65	#65925	—	2	1	no	—
66	#65924	—	2	1	no	—
67	#65923	—	2	1	no	—
68	D₅×#120	—	2	1	no	—
69	#65913	C₂²	1	1	yes	characteristic, complemented
70	#65908	C₂²	1	1	yes	characteristic, complemented
71	#65889	C₂²	1	1	yes	characteristic, complemented
72	#65888	C₂²	1	1	yes	characteristic
73	#65884	C₂²	1	1	yes	characteristic
74	#65881	C₂²	1	1	yes	characteristic
75	#65879	C₂²	1	1	yes	characteristic
76	#65865	—	2	1	no	—
77	#65864	C₂²	1	1	yes	characteristic, complemented
78	#65858	—	2	1	no	—
79	#65857	C₂²	1	1	yes	characteristic, complemented
80	#65841	C₂²	1	1	yes	characteristic, complemented
81	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
82	C₅×#490	C₂²	1	1	yes	characteristic, complemented
83	C₅×#482	C₂²	1	1	yes	characteristic, complemented
84	C₅×#480	C₂²	1	1	yes	characteristic, complemented
85	C₅×#478	C₂²	1	1	yes	characteristic, complemented
86	C₅×#468	C₂²	1	1	yes	characteristic, complemented
87	C₅×#465	C₂²	1	1	yes	characteristic, complemented
88	C₅×#460	C₂²	1	1	yes	characteristic, complemented
89	C₅×#450	C₂²	1	1	yes	characteristic, complemented
90	C₅×#450	C₂²	1	1	yes	characteristic, complemented
91	C₅×#440	C₂²	1	1	yes	characteristic, complemented
92	C₅×#435	C₂²	1	1	yes	characteristic, complemented
93	C₅×#418	C₂²	1	1	yes	characteristic, complemented
94	C₂×C₅×#102	C₂²	1	1	yes	characteristic, complemented
95	#65506	C₂²	1	1	yes	characteristic, complemented
96	#65506	C₂²	1	1	yes	characteristic, complemented
97	C₂×#3964	C₂²	1	1	yes	characteristic, complemented
98	C₂×#3964	C₂²	1	1	yes	characteristic, complemented
99	#65462	C₂²	1	1	yes	characteristic, complemented
100	#65460	C₂²	1	1	yes	characteristic, complemented
101	#65460	C₂²	1	1	yes	characteristic, complemented
102	#65458	C₂²	1	1	yes	characteristic, complemented
103	#65458	C₂²	1	1	yes	characteristic, complemented
104	#65458	C₂²	1	1	yes	characteristic, complemented
105	#65455	C₂²	1	1	yes	characteristic, complemented
106	#65452	C₂²	1	1	yes	characteristic, complemented
107	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
108	#65424	C₂²	1	1	yes	characteristic, complemented
109	#65422	C₂²	1	1	yes	characteristic, complemented
110	#65416	C₂²	1	1	yes	characteristic, complemented
111	#65403	C₂²	1	1	yes	characteristic, complemented
112	C₂×#3953	C₂²	1	1	yes	characteristic, complemented
113	#65400	C₂²	1	1	yes	characteristic, complemented
114	#65361	C₂²	1	1	yes	characteristic, complemented
115	#65359	C₂²	1	1	yes	characteristic, complemented
116	#65357	C₂²	1	1	yes	characteristic, complemented
117	#65355	C₂²	1	1	yes	characteristic, complemented
118	#65340	C₂²	1	1	yes	characteristic, complemented
119	#65337	C₂²	1	1	yes	characteristic, complemented
120	#65336	C₂²	1	1	yes	characteristic, complemented
121	#65335	C₂²	1	1	yes	characteristic, complemented
122	#65327	C₂²	1	1	yes	characteristic, complemented
123	#65327	C₂²	1	1	yes	characteristic, complemented
124	#65322	C₂²	1	1	yes	characteristic, complemented
125	#65322	C₂²	1	1	yes	characteristic, complemented
126	#65317	C₂²	1	1	yes	characteristic, complemented
127	C₄×#688	C₂²	1	1	yes	characteristic, complemented
128	C₄×#686	C₂²	1	1	yes	characteristic, complemented
129	D₄×#168	C₂²	1	1	yes	characteristic, complemented
130	#65296	C₂²	1	1	yes	characteristic, complemented
131	#65292	C₂²	1	1	yes	characteristic, complemented
132	#65291	C₂²	1	1	yes	characteristic, complemented
133	#65260	C₂²	1	1	yes	characteristic, complemented
134	C₂×#3941	C₂²	1	1	yes	characteristic, complemented
135	#65179	C₂²	1	1	yes	characteristic, complemented
136	#65173	C₂²	1	1	yes	characteristic, complemented
137	#65173	C₂²	1	1	yes	characteristic, complemented
138	#65172	C₂²	1	1	yes	characteristic, complemented
139	#65171	C₂²	1	1	yes	characteristic, complemented
140	#65170	C₂²	1	1	yes	characteristic, complemented
141	#65170	C₂²	1	1	yes	characteristic, complemented
142	#65161	C₂²	1	1	yes	characteristic, complemented
143	#65160	C₂²	1	1	yes	characteristic, complemented
144	#65155	C₂²	1	1	yes	characteristic, complemented
145	#65153	C₂²	1	1	yes	characteristic, complemented
146	#65149	C₂²	1	1	yes	characteristic, complemented
147	#65133	C₂²	1	1	yes	characteristic, complemented
148	#65131	C₂²	1	1	yes	characteristic, complemented
149	#65128	C₂²	1	1	yes	characteristic, complemented
150	#65123	C₂²	1	1	yes	characteristic, complemented
151	#65106	C₂²	1	1	yes	characteristic, complemented
152	#65102	C₂²	1	1	yes	characteristic, complemented
153	#65101	C₂²	1	1	yes	characteristic, complemented
154	#65093	C₂²	1	1	yes	characteristic, complemented
155	#65076	C₂²	1	1	yes	characteristic, complemented
156	#65075	C₂²	1	1	yes	characteristic, complemented
157	#65074	C₂²	1	1	yes	characteristic, complemented
158	#65071	C₂²	1	1	yes	characteristic, complemented
159	#65070	C₂²	1	1	yes	characteristic, complemented
160	#65068	C₂²	1	1	yes	characteristic, complemented
161	#65066	C₂²	1	1	yes	characteristic, complemented
162	#65066	C₂²	1	1	yes	characteristic, complemented
163	#65066	C₂²	1	1	yes	characteristic, complemented
164	#65064	C₂²	1	1	yes	characteristic, complemented
165	#65062	C₂²	1	1	yes	characteristic, complemented
166	#65062	C₂²	1	1	yes	characteristic, complemented
167	#65062	C₂²	1	1	yes	characteristic, complemented
168	#65061	C₂²	1	1	yes	characteristic, complemented
169	#65061	C₂²	1	1	yes	characteristic, complemented
170	#65060	C₂²	1	1	yes	characteristic, complemented
171	#65060	C₂²	1	1	yes	characteristic, complemented
172	#65060	C₂²	1	1	yes	characteristic, complemented
173	#65059	C₂²	1	1	yes	characteristic
174	#65059	C₂²	1	1	yes	characteristic, complemented
175	#65059	C₂²	1	1	yes	characteristic, complemented
176	D₅×#102	C₂²	1	1	yes	characteristic
177	D₅×#102	C₂²	1	1	yes	characteristic
178	D₅×#102	C₂²	1	1	yes	characteristic, complemented
179	D₅×#102	C₂²	1	1	yes	characteristic, complemented
180	D₅×#102	C₂²	1	1	yes	characteristic, complemented
181	D₅×#102	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	#65057	C₂²	1	1	yes	characteristic, complemented
186	#65054	C₂²	1	1	yes	characteristic, complemented
187	#65053	C₂²	1	1	yes	characteristic, complemented
188	#65052	C₂²	1	1	yes	characteristic, complemented
189	#65050	C₂²	1	1	yes	characteristic, complemented
190	#65049	C₂²	1	1	yes	characteristic, complemented
191	#65024	C₂²	1	1	yes	characteristic, complemented
192	#65023	C₂²	1	1	yes	characteristic, complemented
193	#65021	C₂²	1	1	yes	characteristic, complemented
194	#65016	C₂²	1	1	yes	characteristic, complemented
195	#65015	C₂²	1	1	yes	characteristic, complemented
196	#65014	C₂²	1	1	yes	characteristic, complemented
197	#65014	C₂²	1	1	yes	characteristic, complemented
198	#65010	C₂²	1	1	yes	characteristic, complemented
199	#65003	C₂²	1	1	yes	characteristic, complemented
200	#65000	C₂²	1	1	yes	characteristic, complemented
201	#64997	C₂²	1	1	yes	characteristic, complemented
202	#64995	C₂²	1	1	yes	characteristic, complemented
203	#61167	—	5	1	no	maximal, Sylow
204	C₂⁴×D₅	—	2	1	no	—
205	C₂²×C₅×D₄	—	2	1	no	—
206	C₂²×C₅×D₄	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	C₂²×C₂²⋊D₅	—	2	1	no	—
211	C₂²×C₂²⋊D₅	—	2	1	no	—
212	C₂×#713	C₂³	1	1	yes	characteristic
213	#4144	—	2	4	no	—
214	#4144	—	4	2	no	—
215	C₂×#711	—	2	1	no	—
216	C₂×#711	—	2	1	no	—
217	C₂×#711	C₂³	1	1	yes	characteristic
218	C₂×#711	C₂³	1	1	yes	characteristic
219	C₂×D₄×D₅	—	2	4	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	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×D₄×D₅	C₂³	1	1	yes	characteristic
231	C₂×#709	—	2	1	no	—
232	C₂×#709	C₂³	1	1	yes	characteristic
233	C₂×#709	C₂³	1	1	yes	characteristic
234	C₂²×D₂₀	C₂³	1	1	yes	characteristic
235	C₂²×C₄×D₅	—	2	1	no	—
236	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
237	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic, complemented
240	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic, complemented
241	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
242	C₅×#127	C₂³	1	1	yes	characteristic
243	C₅×#126	—	2	1	no	—
244	C₅×#125	—	2	1	no	—
245	C₅×#125	C₂³	1	1	yes	characteristic, complemented
246	C₅×#123	—	2	1	no	—
247	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
248	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
249	C₅×#121	—	2	1	no	—
250	C₅×#121	C₂³	1	1	yes	characteristic
251	C₅×#121	C₂³	1	1	yes	characteristic
252	C₅×#120	—	2	1	no	—
253	C₅×#120	—	2	1	no	—
254	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic, complemented
255	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
256	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
257	C₅×#117	—	2	1	no	—
258	C₅×#117	C₂³	1	1	yes	characteristic, complemented
259	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	#4099	—	2	1	no	—
261	#4099	—	2	1	no	—
262	C₂×C₂²⋊Dic₅	—	2	1	no	—
263	#4092	C₂³	1	1	yes	characteristic
264	#4092	C₂³	1	1	yes	characteristic, complemented
265	Q₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
266	C₂×#689	C₂³	1	1	yes	characteristic, complemented
267	C₂×#688	C₂³	1	1	yes	characteristic
268	C₂×#688	C₂³	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
276	#4084	—	2	1	no	—
277	#4084	—	2	1	no	—
278	#4084	C₂³	1	1	yes	characteristic
279	#4084	C₂³	1	1	yes	characteristic
280	#4083	—	2	1	no	—
281	#4083	—	2	1	no	—
282	#4083	—	2	1	no	—
283	#4083	—	2	1	no	—
284	#4083	—	2	1	no	—
285	#4083	—	2	1	no	—
286	#4083	—	2	1	no	—
287	#4083	—	2	1	no	—
288	#4083	—	2	1	no	—
289	#4083	—	2	1	no	—
290	#4083	D₄	1	1	yes	characteristic
291	#4082	C₂³	1	1	yes	characteristic
292	#4081	—	2	1	no	—
293	D₄×Dic₅	—	2	1	no	—
294	D₄×Dic₅	C₂³	1	1	yes	characteristic
295	C₂×#686	C₂³	1	1	yes	characteristic
296	C₂×#686	C₂³	1	1	yes	characteristic
297	C₂×#686	C₂³	1	1	yes	characteristic, complemented
298	#4076	—	2	1	no	—
299	#4076	C₂³	1	1	yes	characteristic
300	#4076	C₂³	1	1	yes	characteristic
301	#4076	C₂³	1	1	yes	characteristic, complemented
302	#4075	—	2	1	no	—
303	C₄×C₂²⋊D₅	—	2	1	no	—
304	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
305	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
306	C₂×#685	—	2	1	no	—
307	C₂×#685	—	2	1	no	—
308	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
309	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
310	#4070	C₂³	1	1	yes	characteristic
311	C₂×#683	—	2	1	no	—
312	C₂²×#168	C₂³	1	1	yes	characteristic
313	C₂²×#168	C₂³	1	1	yes	characteristic, complemented
314	#4062	—	4	2	no	—
315	#4060	—	2	4	no	—
316	#4060	—	4	2	no	—
317	#4053	—	4	2	no	—
318	C₂×D₄₀	C₂³	1	1	yes	characteristic
319	C₂×D₄₀	C₂³	1	1	yes	characteristic
320	C₂×#677	C₂³	1	1	yes	characteristic, complemented
321	C₂×#676	C₂³	1	1	yes	characteristic
322	C₂×#676	C₂³	1	1	yes	characteristic
323	C₂×#676	C₂³	1	1	yes	characteristic, complemented
324	C₂×C₈×D₅	—	4	2	no	—
325	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
326	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
327	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
328	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
329	C₂×C₈×D₅	C₂³	1	1	yes	characteristic, complemented
330	#4044	—	2	1	no	—
331	#4044	—	2	1	no	—
332	#4043	—	2	1	no	—
333	#4043	—	2	1	no	—
334	#4043	—	2	1	no	—
335	#4043	C₂³	1	1	yes	characteristic
336	#4042	—	2	1	no	—
337	#4042	—	2	1	no	—
338	#4042	—	2	1	no	—
339	#4042	—	2	1	no	—
340	#4042	—	2	1	no	—
341	#4042	D₄	1	1	yes	characteristic
342	#4041	—	2	1	no	—
343	#4041	—	2	1	no	—
344	#4041	C₂³	1	1	yes	characteristic
345	#4041	C₂³	1	1	yes	characteristic
346	#4041	C₂³	1	1	yes	characteristic, complemented
347	#4040	—	2	1	no	—
348	#4040	—	2	1	no	—
349	#4040	—	2	1	no	—
350	#4040	—	2	1	no	—
351	#4040	D₄	1	1	yes	characteristic
352	#4039	—	2	1	no	—
353	#4039	—	2	1	no	—
354	#4039	—	2	1	no	—
355	#4039	C₂³	1	1	yes	characteristic
356	#4039	C₂³	1	1	yes	characteristic, complemented
357	#4038	C₂³	1	1	yes	characteristic
358	#4038	C₂³	1	1	yes	characteristic
359	#4038	C₂³	1	1	yes	characteristic, complemented
360	D₅×C₄⋊C₄	—	2	1	no	—
361	D₅×C₄⋊C₄	—	2	1	no	—
362	D₅×C₄⋊C₄	—	2	1	no	—
363	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
364	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
365	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
366	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
367	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
368	#4036	—	2	1	no	—
369	#4036	C₂³	1	1	yes	characteristic, complemented
370	#4035	—	2	1	no	—
371	#4035	—	2	1	no	—
372	#4034	—	2	1	no	—
373	#4034	C₂³	1	1	yes	characteristic, complemented
374	#4032	—	2	1	no	—
375	#4032	—	2	1	no	—
376	#4032	—	2	1	no	—
377	#4032	—	2	1	no	—
378	#4031	—	2	1	no	—
379	#4030	—	2	1	no	—
380	#4030	—	2	1	no	—
381	#4030	—	2	1	no	—
382	#4030	—	2	1	no	—
383	#4030	—	2	1	no	—
384	#4030	D₄	1	1	yes	characteristic
385	#4029	—	2	1	no	—
386	#4029	—	2	1	no	—
387	#4029	—	2	1	no	—
388	#4029	D₄	1	1	yes	characteristic
389	#4028	—	2	1	no	—
390	#4028	—	2	1	no	—
391	#4028	—	2	1	no	—
392	#4028	—	2	1	no	—
393	#4028	D₄	1	1	yes	characteristic
394	#4027	—	2	1	no	—
395	#4027	—	2	1	no	—
396	#4027	—	2	1	no	—
397	#4027	—	2	1	no	—
398	#4027	—	2	1	no	—
399	#4027	—	2	1	no	—
400	D₅×C₂²⋊C₄	—	2	1	no	—
401	D₅×C₂²⋊C₄	—	2	1	no	—
402	D₅×C₂²⋊C₄	—	2	1	no	—
403	#4024	—	2	1	no	—
404	#4024	D₄	1	1	yes	characteristic
405	#4023	—	2	1	no	—
406	#4022	—	2	1	no	—
407	#4021	C₂³	1	1	yes	characteristic
408	C₄×D₂₀	—	2	1	no	—
409	C₄×D₂₀	—	2	1	no	—
410	C₄×D₂₀	—	2	1	no	—
411	C₄×D₂₀	—	2	1	no	—
412	C₄×D₂₀	C₂³	1	1	yes	characteristic
413	C₄×D₂₀	C₂³	1	1	yes	characteristic
414	C₄×D₂₀	C₂³	1	1	yes	characteristic, complemented
415	#4018	—	2	1	no	—
416	#4018	C₂³	1	1	yes	characteristic
417	#4016	—	2	1	no	—
418	#4015	C₂³	1	1	yes	characteristic, complemented
419	C₄×Dic₁₀	—	2	1	no	—
420	C₅×#107	C₂³	1	1	yes	characteristic, complemented
421	C₅×#107	C₂³	1	1	yes	characteristic, complemented
422	C₅×#106	C₂³	1	1	yes	characteristic, complemented
423	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
424	C₅×#103	C₂³	1	1	yes	characteristic, complemented
425	C₅×#102	C₂³	1	1	yes	characteristic
426	C₅×#102	C₂³	1	1	yes	characteristic
427	C₅×#102	C₂³	1	1	yes	characteristic
428	C₅×#102	C₂³	1	1	yes	characteristic
429	C₅×#102	C₂³	1	1	yes	characteristic
430	C₅×#102	C₂³	1	1	yes	characteristic
431	C₅×#102	C₂³	1	1	yes	characteristic, complemented
432	C₅×#102	C₂³	1	1	yes	characteristic, complemented
433	C₅×#102	C₂³	1	1	yes	characteristic, complemented
434	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
436	C₅×#97	C₂³	1	1	yes	characteristic, complemented
437	#3967	C₂³	1	1	yes	characteristic, complemented
438	#3964	C₂³	1	1	yes	characteristic
439	#3964	C₂³	1	1	yes	characteristic
440	#3964	C₂³	1	1	yes	characteristic
441	#3964	C₂³	1	1	yes	characteristic
442	#3964	C₂³	1	1	yes	characteristic
443	#3964	C₂³	1	1	yes	characteristic
444	#3964	C₂³	1	1	yes	characteristic, complemented
445	#3964	C₂³	1	1	yes	characteristic, complemented
446	#3964	C₂³	1	1	yes	characteristic, complemented
447	C₂²⋊#168	C₂³	1	1	yes	characteristic
448	C₂²⋊#168	C₂³	1	1	yes	characteristic, complemented
449	#3953	C₂³	1	1	yes	characteristic
450	#3953	C₂³	1	1	yes	characteristic
451	#3953	C₂³	1	1	yes	characteristic
452	#3953	C₂³	1	1	yes	characteristic
453	#3953	C₂³	1	1	yes	characteristic
454	#3953	C₂³	1	1	yes	characteristic
455	#3953	C₂³	1	1	yes	characteristic, complemented
456	#3952	C₂³	1	1	yes	characteristic
457	#3952	C₂³	1	1	yes	characteristic
458	#3952	C₂³	1	1	yes	characteristic, complemented
459	#3952	C₂³	1	1	yes	characteristic, complemented
460	#3949	C₂³	1	1	yes	characteristic, complemented
461	#3949	C₂³	1	1	yes	characteristic, complemented
462	#3949	C₂³	1	1	yes	characteristic, complemented
463	#3948	C₂³	1	1	yes	characteristic, complemented
464	#3948	C₂³	1	1	yes	characteristic, complemented
465	#3948	C₂³	1	1	yes	characteristic, complemented
466	#3947	C₂³	1	1	yes	characteristic, complemented
467	#3946	C₂³	1	1	yes	characteristic, complemented
468	#3946	C₂³	1	1	yes	characteristic, complemented
469	C₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
470	#3942	C₂³	1	1	yes	characteristic, complemented
471	#3942	C₂³	1	1	yes	characteristic, complemented
472	#3942	C₂³	1	1	yes	characteristic, complemented
473	#3941	C₂³	1	1	yes	characteristic
474	#3941	C₂³	1	1	yes	characteristic
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, complemented
480	#3940	C₂³	1	1	yes	characteristic, complemented
481	#3940	C₂³	1	1	yes	characteristic, complemented
482	#3939	C₂³	1	1	yes	characteristic, complemented
483	#3939	C₂³	1	1	yes	characteristic, complemented
484	#3939	C₂³	1	1	yes	characteristic, complemented
485	#3939	C₂³	1	1	yes	characteristic, complemented
486	C₄⋊#168	C₂³	1	1	yes	characteristic, complemented
487	C₄×#168	C₂³	1	1	yes	characteristic, complemented
488	#3492	—	5	1	no	—
489	#3484	—	5	1	no	—
490	#3318	—	5	1	no	—
491	#3318	—	5	1	no	—
492	#3314	—	5	1	no	—
493	#3314	—	5	1	no	—
494	#3310	—	5	1	no	—
495	#3310	D₅	1	1	yes	characteristic, complemented
496	#3306	—	5	1	no	—
497	#3306	—	5	1	no	—
498	#3297	—	5	1	no	—
499	#3297	—	5	1	no	—
500	#3296	—	5	1	no	—
501	#3296	—	5	1	no	—
502	#3295	—	5	1	no	—
503	#3295	—	5	1	no	—
504	#3294	—	5	1	no	—
505	#3294	—	5	1	no	—
506	#3136	—	5	1	no	—
507	#3096	—	5	1	no	—
508	#3092	—	5	1	no	—
509	#3081	—	5	1	no	—
510	#3062	—	5	1	no	—
511	#3050	—	5	1	no	—
512	#3045	—	5	1	no	—
513	#3012	—	5	1	no	—
514	#3003	—	5	1	no	—
515	#2946	—	5	1	no	—
516	#2929	—	5	1	no	—
517	#2897	—	5	1	no	—
518	C₂²×#102	—	5	1	no	—
519	C₂⁴×C₅	—	2	1	no	—
520	C₂⁴×C₅	—	2	1	no	—
521	C₂³×D₅	—	2	1	no	—
522	C₂³×D₅	—	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	—	4	4	no	—
528	C₂³×D₅	—	8	2	no	—
529	C₂³×D₅	—	8	2	no	—
530	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
531	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
532	C₂×C₅×D₄	—	2	2	no	—
533	C₂×C₅×D₄	—	2	2	no	—
534	C₂×C₅×D₄	—	2	1	no	—
535	C₂×C₅×D₄	—	2	1	no	—
536	C₂×C₅×D₄	—	2	1	no	—
537	C₂×C₅×D₄	—	2	1	no	—
538	C₂×C₅×D₄	—	2	1	no	—
539	C₂×C₅×D₄	—	2	1	no	—
540	C₂×C₅×D₄	—	4	1	no	—
541	C₂×C₅×D₄	—	4	1	no	—
542	C₂×C₅×D₄	—	8	2	no	—
543	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
544	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
545	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
546	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₅	—	2	1	no	—
548	C₂²×C₄×C₅	—	2	1	no	—
549	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
551	C₂×C₂²⋊D₅	—	2	1	no	—
552	C₂×C₂²⋊D₅	—	2	1	no	—
553	C₂×C₂²⋊D₅	—	2	1	no	—
554	C₂×C₂²⋊D₅	—	2	1	no	—
555	C₂×C₂²⋊D₅	—	2	1	no	—
556	C₂×C₂²⋊D₅	—	2	1	no	—
557	C₂×C₂²⋊D₅	—	2	1	no	—
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	—	4	4	no	—
567	C₂×C₂²⋊D₅	—	4	4	no	—
568	C₂×C₂²⋊D₅	—	4	4	no	—
569	C₂×C₂²⋊D₅	—	8	2	no	—
570	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
571	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
572	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
573	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
574	C₂²×Dic₅	—	2	1	no	—
575	C₂²×Dic₅	—	2	1	no	—
576	C₂²×Dic₅	—	2	1	no	—
577	C₂²×Dic₅	—	2	1	no	—
578	C₂²×Dic₅	—	2	1	no	—
579	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
580	#713	—	2	2	no	—
581	#713	—	2	2	no	—
582	#711	—	2	2	no	—
583	#711	—	2	2	no	—
584	#711	—	2	2	no	—
585	#711	—	4	1	no	—
586	#711	—	4	4	no	—
587	#711	—	8	2	no	—
588	D₄×D₅	—	2	2	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	4	no	—
598	D₄×D₅	—	4	4	no	—
599	D₄×D₅	—	4	4	no	—
600	D₄×D₅	—	8	2	no	—
601	D₄×D₅	—	8	2	no	—
602	D₄×D₅	#41	1	4	yes	complemented
603	#709	—	2	2	no	—
604	#709	—	2	2	no	—
605	#709	—	2	2	no	—
606	#709	—	4	1	no	—
607	#709	—	8	2	no	—
608	C₂×D₂₀	—	2	2	no	—
609	C₂×D₂₀	—	2	1	no	—
610	C₂×D₂₀	—	2	1	no	—
611	C₂×D₂₀	—	2	1	no	—
612	C₂×D₂₀	—	2	1	no	—
613	C₂×D₂₀	—	2	1	no	—
614	C₂×D₂₀	—	4	1	no	—
615	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
616	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
617	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
618	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
619	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
620	C₂×C₄×D₅	—	2	2	no	—
621	C₂×C₄×D₅	—	2	2	no	—
622	C₂×C₄×D₅	—	2	1	no	—
623	C₂×C₄×D₅	—	2	1	no	—
624	C₂×C₄×D₅	—	2	1	no	—
625	C₂×C₄×D₅	—	2	1	no	—
626	C₂×C₄×D₅	—	2	1	no	—
627	C₂×C₄×D₅	—	2	1	no	—
628	C₂×C₄×D₅	—	2	1	no	—
629	C₂×C₄×D₅	—	2	1	no	—
630	C₂×C₄×D₅	—	2	1	no	—
631	C₂×C₄×D₅	—	2	1	no	—
632	C₂×C₄×D₅	—	2	1	no	—
633	C₂×C₄×D₅	—	8	2	no	—
634	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
635	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
636	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
637	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
638	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
639	C₂×Dic₁₀	—	2	1	no	—
640	C₂×Dic₁₀	—	2	1	no	—
641	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
642	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
643	C₅×SD₁₆	—	2	2	no	—
644	C₅×SD₁₆	—	4	1	no	—
645	C₅×SD₁₆	—	4	1	no	—
646	C₅×M₁₆	—	4	1	no	—
647	C₂×C₅×C₈	—	4	1	no	—
648	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
649	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
650	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
651	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
652	C₅×C₄⋊C₄	—	2	1	no	—
653	C₅×C₄⋊C₄	—	2	1	no	—
654	C₅×C₄⋊C₄	—	2	1	no	—
655	C₅×C₄⋊C₄	—	2	1	no	—
656	C₅×C₄⋊C₄	—	2	1	no	—
657	C₅×C₄⋊C₄	—	2	1	no	—
658	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
659	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
660	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
661	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
662	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
663	C₅×C₂²⋊C₄	—	2	1	no	—
664	C₅×C₂²⋊C₄	—	2	1	no	—
665	C₅×C₂²⋊C₄	—	2	1	no	—
666	C₅×C₂²⋊C₄	—	2	1	no	—
667	C₅×C₂²⋊C₄	—	2	1	no	—
668	C₅×C₂²⋊C₄	—	2	1	no	—
669	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
670	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
671	C₄²×C₅	—	2	1	no	—
672	C₄²×C₅	—	2	1	no	—
673	C₄²×C₅	C₂⁴	1	1	yes	characteristic
674	C₂²⋊Dic₅	—	2	1	no	—
675	C₂²⋊Dic₅	—	2	1	no	—
676	C₂²⋊Dic₅	—	2	1	no	—
677	C₂²⋊Dic₅	—	2	1	no	—
678	C₂²⋊Dic₅	—	2	1	no	—
679	C₂²⋊Dic₅	—	2	1	no	—
680	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
681	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
682	#689	—	4	1	no	—
683	#688	—	2	2	no	—
684	#688	—	4	1	no	—
685	#686	—	2	2	no	—
686	#686	—	4	1	no	—
687	#686	—	4	1	no	—
688	#685	—	2	1	no	—
689	#685	—	2	1	no	—
690	#685	—	2	1	no	—
691	#685	—	2	1	no	—
692	#685	—	2	1	no	—
693	#685	—	2	1	no	—
694	#685	—	2	1	no	—
695	#685	—	2	1	no	—
696	#685	—	2	1	no	—
697	#685	—	2	1	no	—
698	#685	—	2	1	no	—
699	#685	—	2	1	no	—
700	#685	—	2	1	no	—
701	#685	—	2	1	no	—
702	#685	—	2	1	no	—
703	#685	—	2	1	no	—
704	#685	—	2	1	no	—
705	#685	—	2	1	no	—
706	#685	C₂×D₄	1	1	yes	characteristic
707	#685	C₂×D₄	1	1	yes	characteristic
708	#685	C₂×D₄	1	1	yes	characteristic
709	#685	C₂×D₄	1	1	yes	characteristic
710	#685	C₂×D₄	1	1	yes	characteristic
711	#685	C₂×D₄	1	1	yes	characteristic
712	C₄⋊Dic₅	—	2	1	no	—
713	C₄⋊Dic₅	—	2	1	no	—
714	C₄⋊Dic₅	—	2	1	no	—
715	C₄⋊Dic₅	—	2	1	no	—
716	C₄⋊Dic₅	—	2	1	no	—
717	C₄⋊Dic₅	—	2	1	no	—
718	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
719	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
720	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
721	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
722	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
723	#683	—	2	1	no	—
724	#683	—	2	1	no	—
725	#683	—	2	1	no	—
726	#683	—	2	1	no	—
727	#683	—	2	1	no	—
728	#683	—	2	1	no	—
729	#683	—	2	1	no	—
730	#683	—	2	1	no	—
731	#683	—	2	1	no	—
732	#683	—	2	1	no	—
733	#683	C₂×D₄	1	1	yes	characteristic
734	#683	C₂×D₄	1	1	yes	characteristic
735	#683	C₂×D₄	1	1	yes	characteristic
736	#683	C₂×D₄	1	1	yes	characteristic
737	C₄×Dic₅	—	2	1	no	—
738	C₄×Dic₅	—	2	1	no	—
739	C₄×Dic₅	—	2	1	no	—
740	C₄×Dic₅	—	2	1	no	—
741	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
742	C₂×#168	—	4	1	no	—
743	C₂×#168	—	4	1	no	—
744	C₂×#168	C₂⁴	1	1	yes	characteristic
745	C₂×#168	C₂⁴	1	1	yes	characteristic
746	C₂×#168	C₂⁴	1	1	yes	characteristic
747	C₂×#168	C₂⁴	1	1	yes	characteristic
748	D₄₀	—	2	2	no	—
749	D₄₀	—	4	1	no	—
750	#677	—	4	1	no	—
751	#676	—	2	2	no	—
752	#676	—	2	2	no	—
753	#676	—	4	1	no	—
754	C₈×D₅	—	2	2	no	—
755	C₈×D₅	—	2	2	no	—
756	C₈×D₅	—	4	1	no	—
757	C₈×D₅	—	4	1	no	—
758	C₈×D₅	—	4	1	no	—
759	C₂×H(5,𝔽₂)	—	5	1	no	—
760	C₂³×D₄	—	5	1	no	—
761	C₂×AGL(1,ℤ/8)	—	5	1	no	—
762	C₂×AGL(1,ℤ/8)	—	5	1	no	—
763	C₂×#135	—	5	1	no	—
764	C₂×#131	—	5	1	no	—
765	C₂³×C₈	—	5	1	no	—
766	#554	—	5	1	no	—
767	#554	—	5	1	no	—
768	#554	—	10	1	no	—
769	#553	—	5	1	no	—
770	#553	—	5	1	no	—
771	#553	—	10	1	no	—
772	#552	—	5	1	no	—
773	#552	—	10	1	no	—
774	#552	C₂×D₅	1	1	yes	characteristic, complemented
775	#547	—	5	1	no	—
776	#547	—	5	1	no	—
777	#547	—	10	1	no	—
778	#546	—	5	1	no	—
779	#546	—	5	1	no	—
780	#546	—	5	1	no	—
781	#546	—	5	1	no	—
782	#546	—	10	1	no	—
783	#546	—	10	1	no	—
784	D₄²	—	5	1	no	—
785	D₄²	—	5	1	no	—
786	D₄²	—	5	1	no	—
787	D₄²	—	10	1	no	—
788	D₄²	—	10	1	no	—
789	D₄²	C₂×D₅	1	1	yes	characteristic
790	#544	—	5	1	no	—
791	#539	—	10	1	no	—
792	#539	—	10	1	no	—
793	#537	—	5	1	no	—
794	#535	—	5	1	no	—
795	#535	—	5	1	no	—
796	#534	—	10	1	no	—
797	#534	—	10	1	no	—
798	#525	—	5	1	no	—
799	#525	—	5	1	no	—
800	#525	—	5	1	no	—
801	#525	—	10	1	no	—
802	#525	—	10	1	no	—
803	C₂×#120	—	10	1	no	—
804	C₂×#120	—	10	1	no	—
805	#520	—	5	1	no	—
806	#520	—	5	1	no	—
807	#518	—	5	1	no	—
808	C₂²×C₄⋊C₄	—	5	1	no	—
809	#490	—	5	1	no	—
810	#490	C₂×D₅	1	1	yes	characteristic, complemented
811	#489	—	5	1	no	—
812	#489	—	5	1	no	—
813	#488	—	5	1	no	—
814	#488	—	5	1	no	—
815	#486	—	5	1	no	—
816	#486	—	5	1	no	—
817	#484	—	5	1	no	—
818	#484	—	5	1	no	—
819	#483	—	5	1	no	—
820	#483	—	5	1	no	—
821	#482	—	5	1	no	—
822	#482	—	5	1	no	—
823	#482	—	5	1	no	—
824	#482	C₂×D₅	1	1	yes	characteristic, complemented
825	#481	—	5	1	no	—
826	#481	—	5	1	no	—
827	#481	—	5	1	no	—
828	#481	—	5	1	no	—
829	#480	—	5	1	no	—
830	#480	—	5	1	no	—
831	#480	—	5	1	no	—
832	#480	C₂×D₅	1	1	yes	characteristic, complemented
833	#478	—	5	1	no	—
834	#478	—	5	1	no	—
835	#478	—	5	1	no	—
836	#478	C₂×D₅	1	1	yes	characteristic, complemented
837	#476	—	5	1	no	—
838	#476	—	5	1	no	—
839	#474	—	5	1	no	—
840	#474	—	5	1	no	—
841	#469	—	5	1	no	—
842	#469	—	5	1	no	—
843	#468	—	5	1	no	—
844	#468	C₂×D₅	1	1	yes	characteristic, complemented
845	#467	—	5	1	no	—
846	#467	—	5	1	no	—
847	#466	—	5	1	no	—
848	#466	—	5	1	no	—
849	#466	—	5	1	no	—
850	#466	—	5	1	no	—
851	#465	—	5	1	no	—
852	#465	—	5	1	no	—
853	#465	—	5	1	no	—
854	#465	—	5	1	no	—
855	#465	—	5	1	no	—
856	#465	C₂×D₅	1	1	yes	characteristic, complemented
857	#464	—	5	1	no	—
858	#464	—	5	1	no	—
859	#463	—	5	1	no	—
860	#463	—	5	1	no	—
861	#460	—	5	1	no	—
862	#460	C₂×D₅	1	1	yes	characteristic, complemented
863	#459	—	5	1	no	—
864	#459	—	5	1	no	—
865	#452	—	5	1	no	—
866	#452	—	5	1	no	—
867	#450	—	5	1	no	—
868	#450	—	5	1	no	—
869	#450	—	5	1	no	—
870	#450	—	5	1	no	—
871	#450	C₂×D₅	1	1	yes	characteristic, complemented
872	#450	C₂×D₅	1	1	yes	characteristic, complemented
873	#449	—	5	1	no	—
874	#449	—	5	1	no	—
875	#447	—	5	1	no	—
876	#447	—	5	1	no	—
877	#447	—	5	1	no	—
878	#447	—	5	1	no	—
879	#447	—	5	1	no	—
880	#447	—	5	1	no	—
881	#442	—	5	1	no	—
882	#442	—	5	1	no	—
883	#440	—	5	1	no	—
884	#440	C₂×D₅	1	1	yes	characteristic, complemented
885	C₄×SD₁₆	—	5	1	no	—
886	C₄×SD₁₆	—	5	1	no	—
887	C₄×D₈	—	5	1	no	—
888	C₄×D₈	—	5	1	no	—
889	#435	—	5	1	no	—
890	#435	—	5	1	no	—
891	#435	—	5	1	no	—
892	#435	C₂×D₅	1	1	yes	characteristic, complemented
893	C₈×D₄	—	5	1	no	—
894	C₈×D₄	—	5	1	no	—
895	C₈×D₄	—	5	1	no	—
896	C₈×D₄	—	5	1	no	—
897	#428	—	5	1	no	—
898	#428	—	5	1	no	—
899	#427	—	5	1	no	—
900	#424	—	5	1	no	—
901	#418	—	5	1	no	—
902	#418	—	5	1	no	—
903	#418	—	5	1	no	—
904	#418	C₂×D₅	1	1	yes	characteristic, complemented
905	#417	—	5	1	no	—
906	#417	—	5	1	no	—
907	#417	—	5	1	no	—
908	#417	—	5	1	no	—
909	#416	—	5	1	no	—
910	#416	—	5	1	no	—
911	#416	—	5	1	no	—
912	#416	—	5	1	no	—
913	C₂×#102	—	5	1	no	—
914	C₂×#102	—	5	1	no	—
915	C₂×#102	—	5	1	no	—
916	C₂×#102	—	5	1	no	—
917	C₂×#102	—	5	1	no	—
918	C₂×#102	—	5	1	no	—
919	C₂×#102	—	5	1	no	—
920	C₂×#102	—	5	1	no	—
921	C₂×#102	—	5	1	no	—
922	C₂×#102	—	5	1	no	—
923	C₂×#102	—	5	1	no	—
924	C₂×#102	—	5	1	no	—
925	C₂×#102	—	5	1	no	—
926	C₂×#102	C₂×D₅	1	1	yes	characteristic, complemented
927	#408	—	5	1	no	—
928	#407	—	5	1	no	—
929	#405	—	5	1	no	—
930	C₂³×C₅	—	2	1	no	—
931	C₂³×C₅	—	2	1	no	—
932	C₂³×C₅	—	2	1	no	—
933	C₂³×C₅	—	4	2	no	—
934	C₂³×C₅	—	4	2	no	—
935	C₂³×C₅	—	4	2	no	—
936	C₂³×C₅	—	8	1	no	—
937	C₂³×C₅	—	8	1	no	—
938	C₂³×C₅	—	8	1	no	—
939	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
940	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
941	C₂²×D₅	—	2	2	no	—
942	C₂²×D₅	—	2	2	no	—
943	C₂²×D₅	—	2	2	no	—
944	C₂²×D₅	—	2	1	no	—
945	C₂²×D₅	—	2	4	no	—
946	C₂²×D₅	—	2	1	no	—
947	C₂²×D₅	—	2	1	no	—
948	C₂²×D₅	—	4	2	no	—
949	C₂²×D₅	—	4	2	no	—
950	C₂²×D₅	—	4	2	no	—
951	C₂²×D₅	—	4	2	no	—
952	C₂²×D₅	—	4	2	no	—
953	C₂²×D₅	—	4	2	no	—
954	C₂²×D₅	—	4	2	no	—
955	C₂²×D₅	—	4	2	no	—
956	C₂²×D₅	—	8	1	no	—
957	C₂²×D₅	—	8	1	no	—
958	C₂²×D₅	—	8	1	no	—
959	C₂²×D₅	—	8	1	no	—
960	C₂²×D₅	—	8	1	no	—
961	C₂²×D₅	—	8	1	no	—
962	C₂²×D₅	—	8	1	no	—
963	C₂²×D₅	—	8	1	no	—
964	C₂²×D₅	—	8	16	no	—
965	C₂²×D₅	—	8	1	no	—
966	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
967	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
968	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
969	C₅×Q₈	—	2	1	no	—
970	C₅×Q₈	—	2	1	no	—
971	C₅×D₄	—	2	2	no	—
972	C₅×D₄	—	2	1	no	—
973	C₅×D₄	—	2	1	no	—
974	C₅×D₄	—	2	1	no	—
975	C₅×D₄	—	2	1	no	—
976	C₅×D₄	—	2	1	no	—
977	C₅×D₄	—	4	2	no	—
978	C₅×D₄	—	4	2	no	—
979	C₅×D₄	—	4	2	no	—
980	C₅×D₄	—	8	1	no	—
981	C₅×D₄	—	8	1	no	—
982	C₅×D₄	—	8	1	no	—
983	C₅×D₄	C₂×#41	1	2	yes	—
984	C₂×C₄×C₅	—	2	1	no	—
985	C₂×C₄×C₅	—	2	1	no	—
986	C₂×C₄×C₅	—	2	1	no	—
987	C₂×C₄×C₅	—	2	1	no	—
988	C₂×C₄×C₅	—	2	1	no	—
989	C₂×C₄×C₅	—	2	1	no	—
990	C₂×C₄×C₅	—	2	1	no	—
991	C₂×C₄×C₅	—	2	1	no	—
992	C₂×C₄×C₅	—	2	1	no	—
993	C₂×C₄×C₅	—	4	2	no	—
994	C₂×C₄×C₅	—	8	1	no	—
995	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
996	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
997	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
998	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
999	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1000	C₂²⋊D₅	—	2	2	no	—
1001	C₂²⋊D₅	—	2	2	no	—
1002	C₂²⋊D₅	—	2	2	no	—
1003	C₂²⋊D₅	—	2	2	no	—
1004	C₂²⋊D₅	—	2	4	no	—
1005	C₂²⋊D₅	—	4	2	no	—
1006	C₂²⋊D₅	—	4	2	no	—
1007	C₂²⋊D₅	—	4	2	no	—
1008	C₂²⋊D₅	—	4	2	no	—
1009	C₂²⋊D₅	—	4	2	no	—
1010	C₂²⋊D₅	—	4	2	no	—
1011	C₂²⋊D₅	—	4	2	no	—
1012	C₂²⋊D₅	—	4	2	no	—
1013	C₂²⋊D₅	—	4	2	no	—
1014	C₂²⋊D₅	—	8	1	no	—
1015	C₂²⋊D₅	—	8	1	no	—
1016	C₂²⋊D₅	—	8	1	no	—
1017	C₂²⋊D₅	—	8	1	no	—
1018	C₂²⋊D₅	—	8	1	no	—
1019	C₂×Dic₅	—	2	2	no	—
1020	C₂×Dic₅	—	2	1	no	—
1021	C₂×Dic₅	—	2	1	no	—
1022	C₂×Dic₅	—	2	1	no	—
1023	C₂×Dic₅	—	2	1	no	—
1024	C₂×Dic₅	—	2	1	no	—
1025	C₂×Dic₅	—	4	2	no	—
1026	C₂×Dic₅	—	4	2	no	—
1027	C₂×Dic₅	—	4	2	no	—
1028	C₂×Dic₅	—	8	1	no	—
1029	C₂×Dic₅	—	8	1	no	—
1030	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1031	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1032	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1033	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1034	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1035	D₂₀	—	2	2	no	—
1036	D₂₀	—	2	2	no	—
1037	D₂₀	—	2	1	no	—
1038	D₂₀	—	2	1	no	—
1039	D₂₀	—	2	1	no	—
1040	D₂₀	—	2	1	no	—
1041	D₂₀	—	2	1	no	—
1042	D₂₀	—	4	2	no	—
1043	D₂₀	—	4	2	no	—
1044	D₂₀	—	4	2	no	—
1045	D₂₀	—	8	1	no	—
1046	D₂₀	—	8	1	no	—
1047	D₂₀	C₂×#41	1	2	yes	—
1048	C₄×D₅	—	2	2	no	—
1049	C₄×D₅	—	2	1	no	—
1050	C₄×D₅	—	2	1	no	—
1051	C₄×D₅	—	2	1	no	—
1052	C₄×D₅	—	2	1	no	—
1053	C₄×D₅	—	2	2	no	—
1054	C₄×D₅	—	4	2	no	—
1055	C₄×D₅	—	4	2	no	—
1056	C₄×D₅	—	8	1	no	—
1057	C₄×D₅	—	8	1	no	—
1058	C₄×D₅	—	8	1	no	—
1059	C₄×D₅	—	8	1	no	—
1060	C₄×D₅	—	8	1	no	—
1061	C₄×D₅	—	8	1	no	—
1062	C₄×D₅	—	8	1	no	—
1063	C₄×D₅	—	8	1	no	—
1064	C₄×D₅	—	8	1	no	—
1065	C₄×D₅	C₂×#41	1	2	yes	—
1066	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1067	Dic₁₀	—	2	2	no	—
1068	Dic₁₀	—	2	1	no	—
1069	Dic₁₀	—	2	1	no	—
1070	Dic₁₀	—	8	1	no	—
1071	Dic₁₀	—	8	1	no	—
1072	C₅×C₈	—	2	1	no	—
1073	C₅×C₈	—	2	1	no	—
1074	C₅×C₈	—	2	1	no	—
1075	C₅×C₈	—	2	1	no	—
1076	#168	—	2	1	no	—
1077	#168	—	2	1	no	—
1078	#168	—	2	1	no	—
1079	#168	—	2	1	no	—
1080	C₂⁵	—	10	1	no	—
1081	H(5,𝔽₂)	—	10	4	no	—
1082	H(5,𝔽₂)	—	20	2	no	—
1083	C₂×#41	—	5	1	no	—
1084	C₂×#41	—	5	1	no	—
1085	C₂×#41	—	5	1	no	—
1086	C₂×#41	—	5	1	no	—
1087	C₂×#41	—	5	1	no	—
1088	C₂×#41	—	10	1	no	—
1089	C₂×#41	—	10	1	no	—
1090	C₂×#41	—	10	1	no	—
1091	C₂²×D₄	—	2	1	no	—
1092	C₂²×D₄	—	5	1	no	—
1093	C₂²×D₄	—	5	1	no	—
1094	C₂²×D₄	—	5	1	no	—
1095	C₂²×D₄	—	5	1	no	—
1096	C₂²×D₄	—	5	1	no	—
1097	C₂²×D₄	—	5	1	no	—
1098	C₂²×D₄	—	10	1	no	—
1099	C₂²×D₄	—	10	1	no	—
1100	C₂²×D₄	—	10	1	no	—
1101	C₂²×D₄	—	10	4	no	—
1102	C₂²×D₄	—	10	1	no	—
1103	C₂²×D₄	—	10	1	no	—
1104	C₂²×D₄	—	10	1	no	—
1105	C₂²×D₄	—	10	1	no	—
1106	C₂²×D₄	—	10	1	no	—
1107	C₂²×D₄	—	10	1	no	—
1108	C₂²×D₄	—	20	2	no	—
1109	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1110	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1111	C₂³×C₄	—	5	1	no	—
1112	C₂³×C₄	—	10	1	no	—
1113	AGL(1,ℤ/8)	—	10	4	no	—
1114	AGL(1,ℤ/8)	—	20	2	no	—
1115	#135	—	20	2	no	—
1116	C₂×Q₁₆	—	5	1	no	—
1117	C₂×SD₁₆	—	5	1	no	—
1118	C₂×SD₁₆	—	5	1	no	—
1119	C₂×SD₁₆	—	5	1	no	—
1120	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1121	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1122	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1123	C₂×D₈	—	5	1	no	—
1124	C₂×D₈	—	5	1	no	—
1125	C₂×D₈	—	5	1	no	—
1126	C₂×D₈	—	5	1	no	—
1127	C₂×D₈	—	5	1	no	—
1128	#131	—	20	2	no	—
1129	C₂×M₁₆	—	5	1	no	—
1130	C₂×M₁₆	—	5	1	no	—
1131	C₂×M₁₆	—	5	1	no	—
1132	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1133	C₂²×C₈	—	5	1	no	—
1134	C₂²×C₈	—	5	1	no	—
1135	C₂²×C₈	—	5	1	no	—
1136	C₂²×C₈	—	5	1	no	—
1137	C₂²×C₈	—	5	1	no	—
1138	C₂²×C₈	—	5	1	no	—
1139	C₂²×C₈	—	5	1	no	—
1140	C₂²×C₈	—	20	2	no	—
1141	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1142	C₄⋊Q₈	—	5	1	no	—
1143	C₄⋊Q₈	—	5	1	no	—
1144	C₄⋊Q₈	—	10	1	no	—
1145	#127	—	5	1	no	—
1146	#127	—	10	1	no	—
1147	#127	C₂²×D₅	1	1	yes	characteristic
1148	#126	—	2	1	no	—
1149	#126	—	10	1	no	—
1150	#126	—	10	1	no	—
1151	#126	—	10	1	no	—
1152	#125	—	2	1	no	—
1153	#125	—	5	1	no	—
1154	#125	—	10	1	no	—
1155	#125	—	10	1	no	—
1156	#125	—	10	1	no	—
1157	#125	—	10	1	no	—
1158	#125	C₂²×D₅	1	1	yes	characteristic, complemented
1159	#124	—	5	1	no	—
1160	#124	—	5	1	no	—
1161	#124	—	10	1	no	—
1162	#123	—	2	1	no	—
1163	#123	—	5	1	no	—
1164	#123	—	5	1	no	—
1165	#123	—	10	1	no	—
1166	#123	—	10	1	no	—
1167	#123	—	10	1	no	—
1168	#123	—	10	1	no	—
1169	#123	—	10	1	no	—
1170	#123	—	10	1	no	—
1171	#123	—	10	1	no	—
1172	#123	—	10	1	no	—
1173	#123	—	10	1	no	—
1174	#123	—	10	1	no	—
1175	#123	—	10	1	no	—
1176	#123	—	10	1	no	—
1177	#123	—	10	1	no	—
1178	C₂²⋊Q₈	—	5	1	no	—
1179	C₂²⋊Q₈	—	5	1	no	—
1180	C₂²⋊Q₈	—	5	1	no	—
1181	C₂²⋊Q₈	—	5	1	no	—
1182	C₂²⋊Q₈	—	5	1	no	—
1183	C₂²⋊Q₈	—	5	1	no	—
1184	C₂²⋊Q₈	—	10	1	no	—
1185	C₂²⋊Q₈	—	10	1	no	—
1186	C₂²⋊Q₈	—	10	1	no	—
1187	C₂²⋊Q₈	—	10	1	no	—
1188	C₂²⋊Q₈	—	10	1	no	—
1189	C₂²⋊Q₈	—	10	1	no	—
1190	C₂²⋊Q₈	—	10	1	no	—
1191	C₂²⋊Q₈	—	10	1	no	—
1192	C₂²⋊Q₈	—	10	1	no	—
1193	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1194	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1195	#121	—	2	1	no	—
1196	#121	—	5	1	no	—
1197	#121	—	5	1	no	—
1198	#121	—	5	1	no	—
1199	#121	—	5	1	no	—
1200	#121	—	5	1	no	—
1201	#121	—	5	1	no	—
1202	#121	—	5	1	no	—
1203	#121	—	5	1	no	—
1204	#121	—	5	1	no	—
1205	#121	—	5	1	no	—
1206	#121	—	10	1	no	—
1207	#121	—	10	1	no	—
1208	#121	—	10	1	no	—
1209	#121	—	10	1	no	—
1210	#121	—	10	1	no	—
1211	#121	—	10	1	no	—
1212	#121	—	10	1	no	—
1213	#121	—	10	1	no	—
1214	#121	—	10	1	no	—
1215	#121	—	10	1	no	—
1216	#121	—	10	1	no	—
1217	#121	—	10	1	no	—
1218	#121	—	10	1	no	—
1219	#121	—	10	1	no	—
1220	#121	C₂²×D₅	1	1	yes	characteristic
1221	#121	C₂²×D₅	1	1	yes	characteristic
1222	#120	—	2	1	no	—
1223	#120	—	2	1	no	—
1224	#120	—	5	1	no	—
1225	#120	—	5	1	no	—
1226	#120	—	10	1	no	—
1227	#120	—	10	1	no	—
1228	#120	—	10	1	no	—
1229	#120	—	10	1	no	—
1230	#120	—	10	1	no	—
1231	#120	—	10	1	no	—
1232	#120	—	10	1	no	—
1233	#120	—	10	1	no	—
1234	#120	—	10	1	no	—
1235	#120	—	10	1	no	—
1236	#120	—	10	1	no	—
1237	#120	—	10	1	no	—
1238	#120	—	10	1	no	—
1239	#120	—	10	1	no	—
1240	#120	—	10	1	no	—
1241	#120	—	10	1	no	—
1242	C₄×Q₈	—	5	1	no	—
1243	C₄×Q₈	—	10	1	no	—
1244	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1245	C₄×D₄	—	5	1	no	—
1246	C₄×D₄	—	5	1	no	—
1247	C₄×D₄	—	5	1	no	—
1248	C₄×D₄	—	5	1	no	—
1249	C₄×D₄	—	5	1	no	—
1250	C₄×D₄	—	5	1	no	—
1251	C₄×D₄	—	5	1	no	—
1252	C₄×D₄	—	5	1	no	—
1253	C₄×D₄	—	10	1	no	—
1254	C₄×D₄	—	10	1	no	—
1255	C₄×D₄	—	10	1	no	—
1256	C₄×D₄	—	10	1	no	—
1257	C₄×D₄	—	10	1	no	—
1258	C₄×D₄	—	10	1	no	—
1259	C₄×D₄	—	10	1	no	—
1260	C₄×D₄	—	10	1	no	—
1261	C₄×D₄	—	10	1	no	—
1262	C₄×D₄	—	10	1	no	—
1263	C₄×D₄	—	10	1	no	—
1264	C₄×D₄	—	10	1	no	—
1265	C₄×D₄	—	10	1	no	—
1266	C₄×D₄	—	10	1	no	—
1267	C₄×D₄	—	10	1	no	—
1268	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1269	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1270	#117	—	2	1	no	—
1271	#117	—	5	1	no	—
1272	#117	—	5	1	no	—
1273	#117	—	5	1	no	—
1274	#117	—	5	1	no	—
1275	#117	—	10	1	no	—
1276	#117	—	10	1	no	—
1277	#117	C₂²×D₅	1	1	yes	characteristic, complemented
1278	C₂×C₄⋊C₄	—	5	1	no	—
1279	C₂×C₄⋊C₄	—	5	1	no	—
1280	C₂×C₄⋊C₄	—	5	1	no	—
1281	C₂×C₄⋊C₄	—	5	1	no	—
1282	C₂×C₄⋊C₄	—	5	1	no	—
1283	C₂×C₄⋊C₄	—	5	1	no	—
1284	C₂×C₄⋊C₄	—	5	1	no	—
1285	C₂×C₄⋊C₄	—	10	1	no	—
1286	C₂×C₄⋊C₄	—	10	1	no	—
1287	C₂×C₄⋊C₄	—	10	1	no	—
1288	C₂×C₄⋊C₄	—	10	1	no	—
1289	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1290	C₂×C₂²⋊C₄	—	10	1	no	—
1291	C₂×C₂²⋊C₄	—	10	1	no	—
1292	C₂×C₂²⋊C₄	—	10	1	no	—
1293	C₂×C₂²⋊C₄	—	10	1	no	—
1294	C₂×C₂²⋊C₄	—	10	1	no	—
1295	C₂×C₂²⋊C₄	—	10	1	no	—
1296	#107	—	5	1	no	—
1297	#107	—	5	1	no	—
1298	#107	—	5	1	no	—
1299	#107	—	5	1	no	—
1300	#107	C₂²×D₅	1	1	yes	characteristic, complemented
1301	#107	C₂²×D₅	1	1	yes	characteristic, complemented
1302	#106	—	5	1	no	—
1303	#106	—	5	1	no	—
1304	#106	—	5	1	no	—
1305	#106	—	5	1	no	—
1306	#106	—	5	1	no	—
1307	#106	C₂²×D₅	1	1	yes	characteristic, complemented
1308	C₄⋊C₈	—	5	1	no	—
1309	C₄⋊C₈	—	5	1	no	—
1310	C₄⋊C₈	—	5	1	no	—
1311	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1312	#103	—	5	1	no	—
1313	#103	—	5	1	no	—
1314	#103	—	5	1	no	—
1315	#103	—	5	1	no	—
1316	#103	—	5	1	no	—
1317	#103	—	5	1	no	—
1318	#103	—	5	1	no	—
1319	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1320	#102	—	5	1	no	—
1321	#102	—	5	1	no	—
1322	#102	—	5	1	no	—
1323	#102	—	5	1	no	—
1324	#102	—	5	1	no	—
1325	#102	—	5	1	no	—
1326	#102	—	5	1	no	—
1327	#102	—	5	1	no	—
1328	#102	—	5	1	no	—
1329	#102	—	5	1	no	—
1330	#102	—	5	1	no	—
1331	#102	—	5	1	no	—
1332	#102	—	5	1	no	—
1333	#102	—	5	1	no	—
1334	#102	—	5	1	no	—
1335	#102	—	5	1	no	—
1336	#102	—	5	1	no	—
1337	#102	—	5	1	no	—
1338	#102	—	5	1	no	—
1339	#102	—	5	1	no	—
1340	#102	—	5	1	no	—
1341	#102	—	5	1	no	—
1342	#102	—	5	1	no	—
1343	#102	C₂²×D₅	1	1	yes	characteristic
1344	#102	C₂²×D₅	1	1	yes	characteristic
1345	#102	C₂²×D₅	1	1	yes	characteristic
1346	#102	C₂²×D₅	1	1	yes	characteristic
1347	#102	C₂²×D₅	1	1	yes	characteristic
1348	#102	C₂²×D₅	1	1	yes	characteristic
1349	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1350	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1351	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1352	C₂²⋊C₈	—	5	1	no	—
1353	C₂²⋊C₈	—	5	1	no	—
1354	C₂²⋊C₈	—	5	1	no	—
1355	C₂²⋊C₈	—	5	1	no	—
1356	C₂²⋊C₈	—	5	1	no	—
1357	C₂²⋊C₈	—	5	1	no	—
1358	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1359	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1360	#97	—	5	1	no	—
1361	#97	C₂²×D₅	1	1	yes	characteristic, complemented
1362	C₄×C₈	—	5	1	no	—
1363	C₄×C₈	—	5	1	no	—
1364	C₂²×C₅	—	2	1	no	—
1365	C₂²×C₅	—	2	1	no	—
1366	C₂²×C₅	—	2	2	no	—
1367	C₂²×C₅	—	2	1	no	—
1368	C₂²×C₅	—	2	1	no	—
1369	C₂²×C₅	—	2	1	no	—
1370	C₂²×C₅	—	4	1	no	—
1371	C₂²×C₅	—	4	1	no	—
1372	C₂²×C₅	—	4	1	no	—
1373	C₂²×C₅	—	4	1	no	—
1374	C₂²×C₅	—	4	1	no	—
1375	C₂²×C₅	—	4	1	no	—
1376	C₂²×C₅	—	4	1	no	—
1377	C₂²×C₅	—	4	1	no	—
1378	C₂²×C₅	—	8	4	no	—
1379	C₂²×C₅	—	16	2	no	—
1380	C₂²×C₅	#576	1	2	yes	—
1381	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1382	C₂×D₅	—	2	8	no	—
1383	C₂×D₅	—	2	1	no	—
1384	C₂×D₅	—	2	1	no	—
1385	C₂×D₅	—	2	1	no	—
1386	C₂×D₅	—	2	1	no	—
1387	C₂×D₅	—	2	1	no	—
1388	C₂×D₅	—	2	2	no	—
1389	C₂×D₅	—	2	1	no	—
1390	C₂×D₅	—	2	1	no	—
1391	C₂×D₅	—	4	1	no	—
1392	C₂×D₅	—	4	1	no	—
1393	C₂×D₅	—	4	1	no	—
1394	C₂×D₅	—	4	1	no	—
1395	C₂×D₅	—	4	1	no	—
1396	C₂×D₅	—	4	1	no	—
1397	C₂×D₅	—	4	1	no	—
1398	C₂×D₅	—	4	1	no	—
1399	C₂×D₅	—	8	4	no	—
1400	C₂×D₅	—	8	4	no	—
1401	C₂×D₅	—	8	4	no	—
1402	C₂×D₅	—	8	4	no	—
1403	C₂×D₅	—	8	4	no	—
1404	C₂×D₅	—	16	2	no	—
1405	C₂×D₅	#546	1	2	yes	—
1406	C₂×D₅	#577	1	2	yes	—
1407	C₄×C₅	—	2	1	no	—
1408	C₄×C₅	—	2	1	no	—
1409	C₄×C₅	—	2	1	no	—
1410	C₄×C₅	—	2	1	no	—
1411	C₄×C₅	—	4	1	no	—
1412	C₄×C₅	—	4	1	no	—
1413	C₄×C₅	—	4	1	no	—
1414	C₄×C₅	—	4	1	no	—
1415	C₄×C₅	—	4	1	no	—
1416	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1417	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1418	Dic₅	—	2	1	no	—
1419	Dic₅	—	2	1	no	—
1420	Dic₅	—	2	1	no	—
1421	Dic₅	—	2	1	no	—
1422	Dic₅	—	4	1	no	—
1423	Dic₅	—	4	1	no	—
1424	Dic₅	—	4	1	no	—
1425	Dic₅	—	4	1	no	—
1426	Dic₅	—	4	1	no	—
1427	Dic₅	#546	1	2	yes	—
1428	C₂⁴	—	2	1	no	—
1429	C₂⁴	—	2	1	no	—
1430	C₂⁴	—	5	1	no	—
1431	C₂⁴	—	10	1	no	—
1432	C₂⁴	—	10	1	no	—
1433	C₂⁴	—	10	1	no	—
1434	C₂⁴	—	10	1	no	—
1435	C₂⁴	—	10	1	no	—
1436	C₂⁴	—	10	1	no	—
1437	C₂⁴	—	20	4	no	—
1438	C₂⁴	—	40	2	no	—
1439	C₂⁴	—	40	2	no	—
1440	#41	—	10	2	no	—
1441	#41	—	10	2	no	—
1442	#41	—	10	2	no	—
1443	#41	—	10	2	no	—
1444	#41	—	10	2	no	—
1445	#41	—	10	2	no	—
1446	#41	—	10	2	no	—
1447	#41	—	10	2	no	—
1448	#41	—	20	1	no	—
1449	#41	—	20	1	no	—
1450	#41	—	20	4	no	—
1451	#41	—	40	2	no	—
1452	#41	—	40	2	no	—
1453	C₂×Q₈	—	5	1	no	—
1454	C₂×Q₈	—	5	1	no	—
1455	C₂×Q₈	—	10	1	no	—
1456	C₂×Q₈	—	10	1	no	—
1457	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1458	C₂×D₄	—	2	2	no	—
1459	C₂×D₄	—	2	2	no	—
1460	C₂×D₄	—	2	1	no	—
1461	C₂×D₄	—	2	1	no	—
1462	C₂×D₄	—	2	1	no	—
1463	C₂×D₄	—	2	1	no	—
1464	C₂×D₄	—	2	1	no	—
1465	C₂×D₄	—	2	1	no	—
1466	C₂×D₄	—	4	1	no	—
1467	C₂×D₄	—	4	1	no	—
1468	C₂×D₄	—	5	4	no	—
1469	C₂×D₄	—	5	1	no	—
1470	C₂×D₄	—	5	1	no	—
1471	C₂×D₄	—	5	1	no	—
1472	C₂×D₄	—	5	1	no	—
1473	C₂×D₄	—	5	1	no	—
1474	C₂×D₄	—	5	1	no	—
1475	C₂×D₄	—	5	1	no	—
1476	C₂×D₄	—	5	1	no	—
1477	C₂×D₄	—	5	1	no	—
1478	C₂×D₄	—	8	2	no	—
1479	C₂×D₄	—	10	2	no	—
1480	C₂×D₄	—	10	1	no	—
1481	C₂×D₄	—	10	1	no	—
1482	C₂×D₄	—	10	1	no	—
1483	C₂×D₄	—	10	1	no	—
1484	C₂×D₄	—	10	2	no	—
1485	C₂×D₄	—	10	2	no	—
1486	C₂×D₄	—	10	2	no	—
1487	C₂×D₄	—	10	1	no	—
1488	C₂×D₄	—	10	1	no	—
1489	C₂×D₄	—	10	1	no	—
1490	C₂×D₄	—	10	1	no	—
1491	C₂×D₄	—	10	1	no	—
1492	C₂×D₄	—	10	1	no	—
1493	C₂×D₄	—	10	1	no	—
1494	C₂×D₄	—	10	2	no	—
1495	C₂×D₄	—	10	2	no	—
1496	C₂×D₄	—	10	2	no	—
1497	C₂×D₄	—	10	1	no	—
1498	C₂×D₄	—	10	1	no	—
1499	C₂×D₄	—	10	1	no	—
1500	C₂×D₄	—	10	1	no	—
1501	C₂×D₄	—	10	1	no	—
1502	C₂×D₄	—	10	1	no	—
1503	C₂×D₄	—	10	1	no	—
1504	C₂×D₄	—	10	1	no	—
1505	C₂×D₄	—	10	1	no	—
1506	C₂×D₄	—	20	1	no	—
1507	C₂×D₄	—	20	1	no	—
1508	C₂×D₄	—	20	1	no	—
1509	C₂×D₄	—	20	1	no	—
1510	C₂×D₄	—	20	4	no	—
1511	C₂×D₄	—	20	4	no	—
1512	C₂×D₄	—	20	4	no	—
1513	C₂×D₄	—	20	4	no	—
1514	C₂×D₄	—	20	4	no	—
1515	C₂×D₄	—	20	4	no	—
1516	C₂×D₄	—	40	2	no	—
1517	C₂×D₄	—	40	2	no	—
1518	C₂×D₄	—	40	2	no	—
1519	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1520	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1521	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1522	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1523	C₂²×C₄	—	2	1	no	—
1524	C₂²×C₄	—	2	1	no	—
1525	C₂²×C₄	—	5	1	no	—
1526	C₂²×C₄	—	5	1	no	—
1527	C₂²×C₄	—	5	1	no	—
1528	C₂²×C₄	—	5	1	no	—
1529	C₂²×C₄	—	5	1	no	—
1530	C₂²×C₄	—	5	1	no	—
1531	C₂²×C₄	—	10	2	no	—
1532	C₂²×C₄	—	10	2	no	—
1533	C₂²×C₄	—	10	1	no	—
1534	C₂²×C₄	—	10	1	no	—
1535	C₂²×C₄	—	10	1	no	—
1536	C₂²×C₄	—	10	1	no	—
1537	C₂²×C₄	—	10	1	no	—
1538	C₂²×C₄	—	10	1	no	—
1539	C₂²×C₄	—	10	1	no	—
1540	C₂²×C₄	—	10	1	no	—
1541	C₂²×C₄	—	10	1	no	—
1542	C₂²×C₄	—	10	1	no	—
1543	C₂²×C₄	—	10	1	no	—
1544	C₂²×C₄	—	10	1	no	—
1545	C₂²×C₄	—	10	1	no	—
1546	C₂²×C₄	—	10	1	no	—
1547	C₂²×C₄	—	10	1	no	—
1548	C₂²×C₄	—	10	1	no	—
1549	C₂²×C₄	—	40	2	no	—
1550	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1551	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1552	Q₁₆	—	20	1	no	—
1553	SD₁₆	—	2	2	no	—
1554	SD₁₆	—	4	1	no	—
1555	SD₁₆	—	4	1	no	—
1556	SD₁₆	—	10	2	no	—
1557	SD₁₆	—	20	1	no	—
1558	SD₁₆	—	20	1	no	—
1559	D₈	—	10	2	no	—
1560	D₈	—	10	2	no	—
1561	D₈	—	20	1	no	—
1562	D₈	—	20	1	no	—
1563	D₈	—	20	1	no	—
1564	M₁₆	—	4	1	no	—
1565	M₁₆	—	10	2	no	—
1566	M₁₆	—	10	2	no	—
1567	M₁₆	—	20	1	no	—
1568	C₂×C₈	—	4	1	no	—
1569	C₂×C₈	—	5	1	no	—
1570	C₂×C₈	—	5	1	no	—
1571	C₂×C₈	—	5	1	no	—
1572	C₂×C₈	—	5	1	no	—
1573	C₂×C₈	—	10	2	no	—
1574	C₂×C₈	—	10	2	no	—
1575	C₂×C₈	—	20	1	no	—
1576	C₂×C₈	—	20	1	no	—
1577	C₂×C₈	—	20	1	no	—
1578	C₂×C₈	—	20	1	no	—
1579	C₂×C₈	—	20	1	no	—
1580	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1581	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1582	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1583	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1584	C₄⋊C₄	—	2	1	no	—
1585	C₄⋊C₄	—	2	1	no	—
1586	C₄⋊C₄	—	2	1	no	—
1587	C₄⋊C₄	—	2	1	no	—
1588	C₄⋊C₄	—	2	1	no	—
1589	C₄⋊C₄	—	2	1	no	—
1590	C₄⋊C₄	—	5	1	no	—
1591	C₄⋊C₄	—	5	1	no	—
1592	C₄⋊C₄	—	5	1	no	—
1593	C₄⋊C₄	—	5	1	no	—
1594	C₄⋊C₄	—	5	1	no	—
1595	C₄⋊C₄	—	5	1	no	—
1596	C₄⋊C₄	—	5	1	no	—
1597	C₄⋊C₄	—	5	1	no	—
1598	C₄⋊C₄	—	5	1	no	—
1599	C₄⋊C₄	—	10	1	no	—
1600	C₄⋊C₄	—	10	1	no	—
1601	C₄⋊C₄	—	10	1	no	—
1602	C₄⋊C₄	—	10	1	no	—
1603	C₄⋊C₄	—	10	1	no	—
1604	C₄⋊C₄	—	10	1	no	—
1605	C₄⋊C₄	—	10	1	no	—
1606	C₄⋊C₄	—	10	1	no	—
1607	C₄⋊C₄	—	10	1	no	—
1608	C₄⋊C₄	—	10	1	no	—
1609	C₄⋊C₄	—	10	1	no	—
1610	C₄⋊C₄	—	10	1	no	—
1611	C₄⋊C₄	—	10	1	no	—
1612	C₄⋊C₄	—	10	1	no	—
1613	C₄⋊C₄	—	10	1	no	—
1614	C₄⋊C₄	—	10	1	no	—
1615	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1616	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1617	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1618	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1619	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1620	C₂²⋊C₄	—	2	1	no	—
1621	C₂²⋊C₄	—	2	1	no	—
1622	C₂²⋊C₄	—	2	1	no	—
1623	C₂²⋊C₄	—	2	1	no	—
1624	C₂²⋊C₄	—	2	1	no	—
1625	C₂²⋊C₄	—	2	1	no	—
1626	C₂²⋊C₄	—	5	1	no	—
1627	C₂²⋊C₄	—	5	1	no	—
1628	C₂²⋊C₄	—	5	1	no	—
1629	C₂²⋊C₄	—	5	1	no	—
1630	C₂²⋊C₄	—	5	1	no	—
1631	C₂²⋊C₄	—	5	1	no	—
1632	C₂²⋊C₄	—	5	1	no	—
1633	C₂²⋊C₄	—	5	1	no	—
1634	C₂²⋊C₄	—	10	1	no	—
1635	C₂²⋊C₄	—	10	1	no	—
1636	C₂²⋊C₄	—	10	1	no	—
1637	C₂²⋊C₄	—	10	1	no	—
1638	C₂²⋊C₄	—	10	1	no	—
1639	C₂²⋊C₄	—	10	1	no	—
1640	C₂²⋊C₄	—	10	1	no	—
1641	C₂²⋊C₄	—	10	1	no	—
1642	C₂²⋊C₄	—	10	1	no	—
1643	C₂²⋊C₄	—	10	1	no	—
1644	C₂²⋊C₄	—	10	1	no	—
1645	C₂²⋊C₄	—	10	1	no	—
1646	C₂²⋊C₄	—	10	1	no	—
1647	C₂²⋊C₄	—	10	1	no	—
1648	C₂²⋊C₄	—	10	1	no	—
1649	C₂²⋊C₄	—	10	1	no	—
1650	C₂²⋊C₄	—	10	1	no	—
1651	C₂²⋊C₄	—	10	1	no	—
1652	C₂²⋊C₄	—	10	1	no	—
1653	C₂²⋊C₄	—	10	1	no	—
1654	C₂²⋊C₄	—	10	1	no	—
1655	C₂²⋊C₄	—	10	1	no	—
1656	C₂²⋊C₄	—	10	1	no	—
1657	C₂²⋊C₄	—	10	1	no	—
1658	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1659	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1660	C₄²	—	2	1	no	—
1661	C₄²	—	2	1	no	—
1662	C₄²	—	5	1	no	—
1663	C₄²	—	10	1	no	—
1664	C₄²	—	10	1	no	—
1665	C₄²	—	10	1	no	—
1666	C₄²	—	10	1	no	—
1667	C₄²	C₂³×D₅	1	1	yes	characteristic
1668	C₂×C₅	—	2	2	no	—
1669	C₂×C₅	—	4	2	no	—
1670	C₂×C₅	—	4	1	no	—
1671	C₂×C₅	—	8	1	no	—
1672	C₂×C₅	—	8	1	no	—
1673	C₂×C₅	C₂×#546	1	1	yes	characteristic
1674	C₂×C₅	C₂×#576	1	1	yes	characteristic
1675	C₂×C₅	C₂×#577	1	1	yes	characteristic
1676	D₅	—	2	2	no	—
1677	D₅	—	2	2	no	—
1678	D₅	—	4	1	no	—
1679	D₅	—	4	2	no	—
1680	D₅	—	8	1	no	—
1681	D₅	—	8	1	no	—
1682	C₂³	—	2	1	no	—
1683	C₂³	—	2	1	no	—
1684	C₂³	—	2	1	no	—
1685	C₂³	—	4	2	no	—
1686	C₂³	—	4	2	no	—
1687	C₂³	—	4	2	no	—
1688	C₂³	—	5	1	no	—
1689	C₂³	—	5	1	no	—
1690	C₂³	—	5	1	no	—
1691	C₂³	—	8	1	no	—
1692	C₂³	—	8	1	no	—
1693	C₂³	—	8	1	no	—
1694	C₂³	—	10	2	no	—
1695	C₂³	—	10	2	no	—
1696	C₂³	—	10	4	no	—
1697	C₂³	—	10	2	no	—
1698	C₂³	—	10	1	no	—
1699	C₂³	—	10	1	no	—
1700	C₂³	—	10	1	no	—
1701	C₂³	—	20	2	no	—
1702	C₂³	—	20	2	no	—
1703	C₂³	—	20	2	no	—
1704	C₂³	—	20	2	no	—
1705	C₂³	—	20	2	no	—
1706	C₂³	—	20	2	no	—
1707	C₂³	—	20	2	no	—
1708	C₂³	—	20	2	no	—
1709	C₂³	—	40	1	no	—
1710	C₂³	—	40	1	no	—
1711	C₂³	—	40	1	no	—
1712	C₂³	—	40	1	no	—
1713	C₂³	—	40	1	no	—
1714	C₂³	—	40	1	no	—
1715	C₂³	—	40	1	no	—
1716	C₂³	—	40	1	no	—
1717	C₂³	—	40	1	no	—
1718	C₂³	—	40	16	no	—
1719	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1720	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1721	Q₈	—	2	1	no	—
1722	Q₈	—	2	1	no	—
1723	Q₈	—	10	2	no	—
1724	Q₈	—	10	1	no	—
1725	Q₈	—	10	1	no	—
1726	Q₈	—	40	1	no	—
1727	Q₈	—	40	1	no	—
1728	D₄	—	2	2	no	—
1729	D₄	—	2	1	no	—
1730	D₄	—	2	1	no	—
1731	D₄	—	2	1	no	—
1732	D₄	—	2	1	no	—
1733	D₄	—	2	1	no	—
1734	D₄	—	4	2	no	—
1735	D₄	—	4	2	no	—
1736	D₄	—	4	2	no	—
1737	D₄	—	5	2	no	—
1738	D₄	—	8	1	no	—
1739	D₄	—	8	1	no	—
1740	D₄	—	8	1	no	—
1741	D₄	—	10	2	no	—
1742	D₄	—	10	2	no	—
1743	D₄	—	10	4	no	—
1744	D₄	—	10	2	no	—
1745	D₄	—	10	2	no	—
1746	D₄	—	10	2	no	—
1747	D₄	—	10	2	no	—
1748	D₄	—	10	1	no	—
1749	D₄	—	10	1	no	—
1750	D₄	—	10	1	no	—
1751	D₄	—	10	1	no	—
1752	D₄	—	10	1	no	—
1753	D₄	—	20	2	no	—
1754	D₄	—	20	2	no	—
1755	D₄	—	20	2	no	—
1756	D₄	—	20	2	no	—
1757	D₄	—	20	2	no	—
1758	D₄	—	20	2	no	—
1759	D₄	—	20	2	no	—
1760	D₄	—	20	2	no	—
1761	D₄	—	20	2	no	—
1762	D₄	—	20	2	no	—
1763	D₄	—	20	2	no	—
1764	D₄	—	20	2	no	—
1765	D₄	—	40	1	no	—
1766	D₄	—	40	1	no	—
1767	D₄	—	40	1	no	—
1768	D₄	—	40	1	no	—
1769	D₄	—	40	1	no	—
1770	D₄	—	40	1	no	—
1771	D₄	—	40	1	no	—
1772	D₄	D₅×#41	1	2	yes	—
1773	C₂×C₄	—	2	1	no	—
1774	C₂×C₄	—	2	1	no	—
1775	C₂×C₄	—	2	1	no	—
1776	C₂×C₄	—	2	1	no	—
1777	C₂×C₄	—	2	1	no	—
1778	C₂×C₄	—	2	1	no	—
1779	C₂×C₄	—	2	1	no	—
1780	C₂×C₄	—	2	1	no	—
1781	C₂×C₄	—	2	1	no	—
1782	C₂×C₄	—	4	2	no	—
1783	C₂×C₄	—	5	1	no	—
1784	C₂×C₄	—	5	2	no	—
1785	C₂×C₄	—	5	2	no	—
1786	C₂×C₄	—	5	1	no	—
1787	C₂×C₄	—	5	1	no	—
1788	C₂×C₄	—	5	1	no	—
1789	C₂×C₄	—	5	1	no	—
1790	C₂×C₄	—	8	1	no	—
1791	C₂×C₄	—	10	2	no	—
1792	C₂×C₄	—	10	2	no	—
1793	C₂×C₄	—	10	2	no	—
1794	C₂×C₄	—	10	1	no	—
1795	C₂×C₄	—	10	1	no	—
1796	C₂×C₄	—	10	1	no	—
1797	C₂×C₄	—	10	1	no	—
1798	C₂×C₄	—	10	1	no	—
1799	C₂×C₄	—	10	1	no	—
1800	C₂×C₄	—	10	1	no	—
1801	C₂×C₄	—	10	1	no	—
1802	C₂×C₄	—	10	1	no	—
1803	C₂×C₄	—	20	2	no	—
1804	C₂×C₄	—	20	2	no	—
1805	C₂×C₄	—	20	2	no	—
1806	C₂×C₄	—	20	2	no	—
1807	C₂×C₄	—	20	2	no	—
1808	C₂×C₄	—	40	1	no	—
1809	C₂×C₄	—	40	1	no	—
1810	C₂×C₄	—	40	1	no	—
1811	C₂×C₄	—	40	1	no	—
1812	C₂×C₄	—	40	1	no	—
1813	C₂×C₄	—	40	1	no	—
1814	C₂×C₄	—	40	1	no	—
1815	C₂×C₄	—	40	1	no	—
1816	C₂×C₄	—	40	1	no	—
1817	C₂×C₄	—	40	1	no	—
1818	C₂×C₄	—	40	1	no	—
1819	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1820	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1821	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1822	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1823	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1824	C₈	—	2	1	no	—
1825	C₈	—	2	1	no	—
1826	C₈	—	2	1	no	—
1827	C₈	—	2	1	no	—
1828	C₈	—	10	1	no	—
1829	C₈	—	10	1	no	—
1830	C₈	—	10	1	no	—
1831	C₈	—	10	1	no	—
1832	C₅	#61167	1	1	yes	characteristic, complemented, Sylow
1833	C₂²	—	2	1	no	—
1834	C₂²	—	2	1	no	—
1835	C₂²	—	2	1	no	—
1836	C₂²	—	2	2	no	—
1837	C₂²	—	2	1	no	—
1838	C₂²	—	2	1	no	—
1839	C₂²	—	4	1	no	—
1840	C₂²	—	4	1	no	—
1841	C₂²	—	4	1	no	—
1842	C₂²	—	4	1	no	—
1843	C₂²	—	4	1	no	—
1844	C₂²	—	4	1	no	—
1845	C₂²	—	4	1	no	—
1846	C₂²	—	4	1	no	—
1847	C₂²	—	5	2	no	—
1848	C₂²	—	5	2	no	—
1849	C₂²	—	8	4	no	—
1850	C₂²	—	10	8	no	—
1851	C₂²	—	10	1	no	—
1852	C₂²	—	10	1	no	—
1853	C₂²	—	10	1	no	—
1854	C₂²	—	10	1	no	—
1855	C₂²	—	10	1	no	—
1856	C₂²	—	10	2	no	—
1857	C₂²	—	10	1	no	—
1858	C₂²	—	10	1	no	—
1859	C₂²	—	16	2	no	—
1860	C₂²	—	20	1	no	—
1861	C₂²	—	20	1	no	—
1862	C₂²	—	20	1	no	—
1863	C₂²	—	20	1	no	—
1864	C₂²	—	20	1	no	—
1865	C₂²	—	20	1	no	—
1866	C₂²	—	20	1	no	—
1867	C₂²	—	20	1	no	—
1868	C₂²	—	40	4	no	—
1869	C₂²	—	40	4	no	—
1870	C₂²	—	40	4	no	—
1871	C₂²	—	40	4	no	—
1872	C₂²	—	40	4	no	—
1873	C₂²	—	80	2	no	—
1874	C₂²	#66108	1	2	yes	—
1875	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1876	C₄	—	2	1	no	—
1877	C₄	—	2	1	no	—
1878	C₄	—	2	1	no	—
1879	C₄	—	2	1	no	—
1880	C₄	—	4	1	no	—
1881	C₄	—	4	1	no	—
1882	C₄	—	4	1	no	—
1883	C₄	—	4	1	no	—
1884	C₄	—	4	1	no	—
1885	C₄	—	5	2	no	—
1886	C₄	—	10	1	no	—
1887	C₄	—	10	1	no	—
1888	C₄	—	10	1	no	—
1889	C₄	—	10	1	no	—
1890	C₄	—	20	1	no	—
1891	C₄	—	20	1	no	—
1892	C₄	—	20	1	no	—
1893	C₄	—	20	1	no	—
1894	C₄	—	20	1	no	—
1895	C₄	C₂×D₅×#41	1	1	yes	characteristic
1896	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1897	C₂	—	2	2	no	—
1898	C₂	—	4	1	no	—
1899	C₂	—	4	2	no	—
1900	C₂	—	8	1	no	—
1901	C₂	—	8	1	no	—
1902	C₂	—	10	2	no	—
1903	C₂	—	10	2	no	—
1904	C₂	—	20	1	no	—
1905	C₂	—	20	2	no	—
1906	C₂	—	40	1	no	—
1907	C₂	—	40	1	no	—
1908	C₂	D₅×#546	1	1	yes	characteristic
1909	C₂	C₂×#66108	1	1	yes	characteristic
1910	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×#3310	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3310	D₅
hypocenter	C₅	#61167
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3310

Complements

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

N	H ≅ G/N	type
1. #10618761	C₂	semidirect
2. #10618521	C₂	semidirect
3. C₅×#3310	C₂	semidirect
4. #10615329	C₂	semidirect
5. #10615213	C₂	semidirect
6. #10613458	C₂	semidirect
7. #10613445	C₂	semidirect
8. #10613113	C₂	semidirect
9. #10613106	C₂	semidirect
10. #10613033	C₂	semidirect
11. #10613013	C₂	semidirect
12. #10612918	C₂	semidirect
13. #10612899	C₂	semidirect
14. #10612554	C₂	semidirect
15. #10612540	C₂	semidirect
16. #10612416	C₂	semidirect
17. #10612387	C₂	semidirect
18. #10612126	C₂	semidirect
19. #10612117	C₂	semidirect
20. #10611890	C₂	semidirect
21. #10611889	C₂	semidirect
22. #10611880	C₂	semidirect
23. #10611877	C₂	semidirect
24. #10611533	C₂	semidirect
25. #10611506	C₂	semidirect
26. #10611230	C₂	semidirect
27. #10611209	C₂	semidirect
28. #10610667	C₂	semidirect
29. #10610656	C₂	semidirect
30. #10610492	C₂	semidirect
31. C₂×D₅×#102	C₂	semidirect
34. C₅×#552	C₂²	semidirect
40. C₂×#4062	C₂²	semidirect
42. C₂×#4060	C₂²	semidirect
43. C₂×#4053	C₂²	semidirect
44. C₂²×C₈×D₅	C₂²	semidirect
49. #66029	C₂²	semidirect
52. #66023	C₂²	semidirect
55. #65976	C₂²	semidirect
56. #65969	C₂²	semidirect
57. #65963	C₂²	semidirect
58. #65961	C₂²	semidirect
69. #65913	C₂²	semidirect
70. #65908	C₂²	semidirect
71. #65889	C₂²	semidirect
77. #65864	C₂²	semidirect
79. #65857	C₂²	semidirect
80. #65841	C₂²	semidirect
81. C₂×D₅×C₄⋊C₄	C₂²	semidirect
82. C₅×#490	C₂²	semidirect
83. C₅×#482	C₂²	semidirect
84. C₅×#480	C₂²	semidirect
85. C₅×#478	C₂²	semidirect
86. C₅×#468	C₂²	semidirect
87. C₅×#465	C₂²	semidirect
88. C₅×#460	C₂²	semidirect
89. C₅×#450	C₂²	semidirect
90. C₅×#450	C₂²	semidirect
91. C₅×#440	C₂²	semidirect
92. C₅×#435	C₂²	semidirect
93. C₅×#418	C₂²	semidirect
94. C₂×C₅×#102	C₂²	semidirect
95. #65506	C₂²	semidirect
96. #65506	C₂²	semidirect
97. C₂×#3964	C₂²	semidirect
98. C₂×#3964	C₂²	semidirect
99. #65462	C₂²	semidirect
100. #65460	C₂²	semidirect
101. #65460	C₂²	semidirect
102. #65458	C₂²	semidirect
103. #65458	C₂²	semidirect
104. #65458	C₂²	semidirect
105. #65455	C₂²	semidirect
106. #65452	C₂²	semidirect
107. SD₁₆×Dic₅	C₂²	semidirect
108. #65424	C₂²	semidirect
109. #65422	C₂²	semidirect
110. #65416	C₂²	semidirect
111. #65403	C₂²	semidirect
112. C₂×#3953	C₂²	semidirect
113. #65400	C₂²	semidirect
114. #65361	C₂²	semidirect
115. #65359	C₂²	semidirect
116. #65357	C₂²	semidirect
117. #65355	C₂²	semidirect
118. #65340	C₂²	semidirect
119. #65337	C₂²	semidirect
120. #65336	C₂²	semidirect
121. #65335	C₂²	semidirect
122. #65327	C₂²	semidirect
123. #65327	C₂²	semidirect
124. #65322	C₂²	semidirect
125. #65322	C₂²	semidirect
126. #65317	C₂²	semidirect
127. C₄×#688	C₂²	semidirect
128. C₄×#686	C₂²	semidirect
129. D₄×#168	C₂²	semidirect
130. #65296	C₂²	semidirect
131. #65292	C₂²	semidirect
132. #65291	C₂²	semidirect
133. #65260	C₂²	semidirect
134. C₂×#3941	C₂²	semidirect
135. #65179	C₂²	semidirect
136. #65173	C₂²	semidirect
137. #65173	C₂²	semidirect
138. #65172	C₂²	semidirect
139. #65171	C₂²	semidirect
140. #65170	C₂²	semidirect
141. #65170	C₂²	semidirect
142. #65161	C₂²	semidirect
143. #65160	C₂²	semidirect
144. #65155	C₂²	semidirect
145. #65153	C₂²	semidirect
146. #65149	C₂²	semidirect
147. #65133	C₂²	semidirect
148. #65131	C₂²	semidirect
149. #65128	C₂²	semidirect
150. #65123	C₂²	semidirect
151. #65106	C₂²	semidirect
152. #65102	C₂²	semidirect
153. #65101	C₂²	semidirect
154. #65093	C₂²	semidirect
155. #65076	C₂²	semidirect
156. #65075	C₂²	semidirect
157. #65074	C₂²	semidirect
158. #65071	C₂²	semidirect
159. #65070	C₂²	semidirect
160. #65068	C₂²	semidirect
161. #65066	C₂²	semidirect
162. #65066	C₂²	semidirect
163. #65066	C₂²	semidirect
164. #65064	C₂²	semidirect
165. #65062	C₂²	semidirect
166. #65062	C₂²	semidirect
167. #65062	C₂²	semidirect
168. #65061	C₂²	semidirect
169. #65061	C₂²	semidirect
170. #65060	C₂²	semidirect
171. #65060	C₂²	semidirect
172. #65060	C₂²	semidirect
174. #65059	C₂²	semidirect
175. #65059	C₂²	semidirect
178. D₅×#102	C₂²	semidirect
179. D₅×#102	C₂²	semidirect
180. D₅×#102	C₂²	semidirect
181. D₅×#102	C₂²	semidirect
182. D₅×#102	C₂²	semidirect
183. D₅×#102	C₂²	semidirect
184. D₅×#102	C₂²	semidirect
185. #65057	C₂²	semidirect
186. #65054	C₂²	semidirect
187. #65053	C₂²	semidirect
188. #65052	C₂²	semidirect
189. #65050	C₂²	semidirect
190. #65049	C₂²	semidirect
191. #65024	C₂²	semidirect
192. #65023	C₂²	semidirect
193. #65021	C₂²	semidirect
194. #65016	C₂²	semidirect
195. #65015	C₂²	semidirect
196. #65014	C₂²	semidirect
197. #65014	C₂²	semidirect
198. #65010	C₂²	semidirect
199. #65003	C₂²	semidirect
200. #65000	C₂²	semidirect
201. #64997	C₂²	semidirect
202. #64995	C₂²	semidirect
239. C₂×C₅×SD₁₆	C₂³	semidirect
240. C₂×C₅×M₁₆	C₂³	semidirect
245. C₅×#125	C₂³	semidirect
248. C₅×C₂²⋊Q₈	C₂³	semidirect
254. C₄×C₅×Q₈	C₂³	semidirect
258. C₅×#117	C₂³	semidirect
264. #4092	C₂³	semidirect
265. Q₈×Dic₅	C₂³	semidirect
266. C₂×#689	C₂³	semidirect
297. C₂×#686	C₂³	semidirect
301. #4076	C₂³	semidirect
309. C₂×C₄⋊Dic₅	C₂³	semidirect
313. C₂²×#168	C₂³	semidirect
320. C₂×#677	C₂³	semidirect
323. C₂×#676	C₂³	semidirect
329. C₂×C₈×D₅	C₂³	semidirect
346. #4041	C₂³	semidirect
356. #4039	C₂³	semidirect
359. #4038	C₂³	semidirect
367. D₅×C₄⋊C₄	C₂³	semidirect
369. #4036	C₂³	semidirect
373. #4034	C₂³	semidirect
414. C₄×D₂₀	C₂³	semidirect
418. #4015	C₂³	semidirect
420. C₅×#107	C₂³	semidirect
421. C₅×#107	C₂³	semidirect
422. C₅×#106	C₂³	semidirect
423. C₅×C₄⋊C₈	C₂³	semidirect
424. C₅×#103	C₂³	semidirect
431. C₅×#102	C₂³	semidirect
432. C₅×#102	C₂³	semidirect
433. C₅×#102	C₂³	semidirect
435. C₅×C₂²⋊C₈	C₂³	semidirect
436. C₅×#97	C₂³	semidirect
437. #3967	C₂³	semidirect
444. #3964	C₂³	semidirect
445. #3964	C₂³	semidirect
446. #3964	C₂³	semidirect
448. C₂²⋊#168	C₂³	semidirect
455. #3953	C₂³	semidirect
458. #3952	C₂³	semidirect
459. #3952	C₂³	semidirect
460. #3949	C₂³	semidirect
461. #3949	C₂³	semidirect
462. #3949	C₂³	semidirect
463. #3948	C₂³	semidirect
464. #3948	C₂³	semidirect
465. #3948	C₂³	semidirect
466. #3947	C₂³	semidirect
467. #3946	C₂³	semidirect
468. #3946	C₂³	semidirect
469. C₈×Dic₅	C₂³	semidirect
470. #3942	C₂³	semidirect
471. #3942	C₂³	semidirect
472. #3942	C₂³	semidirect
479. #3941	C₂³	semidirect
480. #3940	C₂³	semidirect
481. #3940	C₂³	semidirect
482. #3939	C₂³	semidirect
483. #3939	C₂³	semidirect
484. #3939	C₂³	semidirect
485. #3939	C₂³	semidirect
486. C₄⋊#168	C₂³	semidirect
487. C₄×#168	C₂³	semidirect
495. #3310	D₅	semidirect
602. D₄×D₅	#41	semidirect
774. #552	C₂×D₅	semidirect
810. #490	C₂×D₅	semidirect
824. #482	C₂×D₅	semidirect
832. #480	C₂×D₅	semidirect
836. #478	C₂×D₅	semidirect
844. #468	C₂×D₅	semidirect
856. #465	C₂×D₅	semidirect
862. #460	C₂×D₅	semidirect
871. #450	C₂×D₅	semidirect
872. #450	C₂×D₅	semidirect
884. #440	C₂×D₅	semidirect
892. #435	C₂×D₅	semidirect
904. #418	C₂×D₅	semidirect
926. C₂×#102	C₂×D₅	semidirect
1122. C₂×SD₁₆	C₂²×D₅	semidirect
1132. C₂×M₁₆	C₂²×D₅	semidirect
1158. #125	C₂²×D₅	semidirect
1194. C₂²⋊Q₈	C₂²×D₅	semidirect
1244. C₄×Q₈	C₂²×D₅	semidirect
1277. #117	C₂²×D₅	semidirect
1300. #107	C₂²×D₅	semidirect
1301. #107	C₂²×D₅	semidirect
1307. #106	C₂²×D₅	semidirect
1311. C₄⋊C₈	C₂²×D₅	semidirect
1319. #103	C₂²×D₅	semidirect
1349. #102	C₂²×D₅	semidirect
1350. #102	C₂²×D₅	semidirect
1351. #102	C₂²×D₅	semidirect
1359. C₂²⋊C₈	C₂²×D₅	semidirect
1361. #97	C₂²×D₅	semidirect
1832. C₅	#61167	semidirect

Maximal subgroups

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

subgroup	index
#10618761	2
#10618521	2
C₅×#3310	2
#10615329	2
#10615213	2
#10613458	2
#10613445	2
#10613113	2
#10613106	2
#10613033	2
#10613013	2
#10612918	2
#10612899	2
#10612554	2
#10612540	2
#10612416	2
#10612387	2
#10612126	2
#10612117	2
#10611890	2
#10611889	2
#10611880	2
#10611877	2
#10611533	2
#10611506	2
#10611230	2
#10611209	2
#10610667	2
#10610656	2
#10610492	2
C₂×D₅×#102	2
#61167	5