Subgroups — #12977276

Order 1280.

2116 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618734	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618522	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3310	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615331	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615216	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613458	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613447	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613113	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613108	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613021	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613016	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612919	C₂	1	1	yes	maximal, characteristic, complemented
13	D₅×#478	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612558	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612539	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612402	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612391	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612128	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612113	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611895	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611890	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611880	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611880	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611534	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611504	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611231	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611215	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610669	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610656	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610491	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610473	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#4144	C₂²	1	1	yes	characteristic
33	C₂×#4144	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	#66140	C₂²	1	1	yes	characteristic
38	D₄×C₂²⋊D₅	—	2	1	no	—
39	C₂×#4084	—	2	1	no	—
40	C₂×#4062	C₂²	1	1	yes	characteristic, complemented
41	C₂×#4062	C₂²	1	1	yes	characteristic, complemented
42	C₂×#4060	C₂²	1	1	yes	characteristic
43	C₂×#4053	C₂²	1	1	yes	characteristic, complemented
44	C₂×#4047	C₂²	1	1	yes	characteristic, complemented
45	#66051	C₂²	1	1	yes	characteristic
46	#66050	C₂²	1	1	yes	characteristic
47	#66043	—	2	1	no	—
48	#66040	—	2	1	no	—
49	#66030	—	2	1	no	—
50	#66029	—	2	1	no	—
51	#66029	C₂²	1	1	yes	characteristic, complemented
52	D₅×#125	C₂²	1	1	yes	characteristic, complemented
53	#65997	—	2	1	no	—
54	#65995	—	2	1	no	—
55	#65976	C₂²	1	1	yes	characteristic, complemented
56	#65973	C₂²	1	1	yes	characteristic, complemented
57	#65963	C₂²	1	1	yes	characteristic, complemented
58	#65963	C₂²	1	1	yes	characteristic, complemented
59	#65946	C₂²	1	1	yes	characteristic
60	#65946	C₂²	1	1	yes	characteristic
61	#65945	—	2	1	no	—
62	#65942	C₂²	1	1	yes	characteristic
63	#65942	C₂²	1	1	yes	characteristic
64	D₅×#121	—	2	1	no	—
65	#65925	—	2	1	no	—
66	#65925	—	2	1	no	—
67	#65923	—	2	1	no	—
68	#65923	—	2	1	no	—
69	#65915	C₂²	1	1	yes	characteristic, complemented
70	C₄×#713	C₂²	1	1	yes	characteristic, complemented
71	#65899	C₂²	1	1	yes	characteristic, complemented
72	#65889	C₂²	1	1	yes	characteristic
73	#65885	C₂²	1	1	yes	characteristic
74	#65882	C₂²	1	1	yes	characteristic
75	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
76	#65864	—	2	1	no	—
77	#65864	C₂²	1	1	yes	characteristic, complemented
78	#65862	—	2	1	no	—
79	#65857	C₂²	1	1	yes	characteristic, complemented
80	#65848	C₂²	1	1	yes	characteristic, complemented
81	#65838	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	#65504	C₂²	1	1	yes	characteristic, complemented
98	C₂×#3964	C₂²	1	1	yes	characteristic, complemented
99	#65463	C₂²	1	1	yes	characteristic, complemented
100	#65462	C₂²	1	1	yes	characteristic, complemented
101	#65462	C₂²	1	1	yes	characteristic, complemented
102	#65460	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	#65455	C₂²	1	1	yes	characteristic, complemented
107	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
108	#65423	C₂²	1	1	yes	characteristic, complemented
109	#65422	C₂²	1	1	yes	characteristic, complemented
110	#65417	C₂²	1	1	yes	characteristic, complemented
111	#65403	C₂²	1	1	yes	characteristic, complemented
112	#65402	C₂²	1	1	yes	characteristic, complemented
113	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
114	#65361	C₂²	1	1	yes	characteristic, complemented
115	#65360	C₂²	1	1	yes	characteristic, complemented
116	#65358	C₂²	1	1	yes	characteristic, complemented
117	#65355	C₂²	1	1	yes	characteristic, complemented
118	#65341	C₂²	1	1	yes	characteristic, complemented
119	#65340	C₂²	1	1	yes	characteristic, complemented
120	#65336	C₂²	1	1	yes	characteristic, complemented
121	#65336	C₂²	1	1	yes	characteristic, complemented
122	#65328	C₂²	1	1	yes	characteristic, complemented
123	#65327	C₂²	1	1	yes	characteristic, complemented
124	#65324	C₂²	1	1	yes	characteristic, complemented
125	#65323	C₂²	1	1	yes	characteristic, complemented
126	#65320	C₂²	1	1	yes	characteristic, complemented
127	#65315	C₂²	1	1	yes	characteristic, complemented
128	#65303	C₂²	1	1	yes	characteristic, complemented
129	#65300	C₂²	1	1	yes	characteristic, complemented
130	#65298	C₂²	1	1	yes	characteristic, complemented
131	#65291	C₂²	1	1	yes	characteristic, complemented
132	#65285	C₂²	1	1	yes	characteristic, complemented
133	#65259	C₂²	1	1	yes	characteristic, complemented
134	#65255	C₂²	1	1	yes	characteristic, complemented
135	#65180	C₂²	1	1	yes	characteristic, complemented
136	#65177	C₂²	1	1	yes	characteristic, complemented
137	#65177	C₂²	1	1	yes	characteristic, complemented
138	#65175	C₂²	1	1	yes	characteristic, complemented
139	#65173	C₂²	1	1	yes	characteristic, complemented
140	#65170	C₂²	1	1	yes	characteristic, complemented
141	D₅×#107	C₂²	1	1	yes	characteristic, complemented
142	#65161	C₂²	1	1	yes	characteristic, complemented
143	#65160	C₂²	1	1	yes	characteristic, complemented
144	#65153	C₂²	1	1	yes	characteristic, complemented
145	#65151	C₂²	1	1	yes	characteristic, complemented
146	D₅×#106	C₂²	1	1	yes	characteristic, complemented
147	#65136	C₂²	1	1	yes	characteristic, complemented
148	#65130	C₂²	1	1	yes	characteristic, complemented
149	#65125	C₂²	1	1	yes	characteristic, complemented
150	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
151	#65105	C₂²	1	1	yes	characteristic, complemented
152	#65102	C₂²	1	1	yes	characteristic, complemented
153	#65092	C₂²	1	1	yes	characteristic, complemented
154	#65077	C₂²	1	1	yes	characteristic, complemented
155	#65076	C₂²	1	1	yes	characteristic, complemented
156	#65076	C₂²	1	1	yes	characteristic, complemented
157	#65071	C₂²	1	1	yes	characteristic, complemented
158	#65070	C₂²	1	1	yes	characteristic, complemented
159	#65070	C₂²	1	1	yes	characteristic, complemented
160	#65068	C₂²	1	1	yes	characteristic, complemented
161	#65068	C₂²	1	1	yes	characteristic, complemented
162	#65066	C₂²	1	1	yes	characteristic, complemented
163	#65064	C₂²	1	1	yes	characteristic, complemented
164	#65063	C₂²	1	1	yes	characteristic, complemented
165	#65062	C₂²	1	1	yes	characteristic, complemented
166	#65062	C₂²	1	1	yes	characteristic, complemented
167	#65061	C₂²	1	1	yes	characteristic, complemented
168	#65061	C₂²	1	1	yes	characteristic, complemented
169	#65061	C₂²	1	1	yes	characteristic, complemented
170	#65061	C₂²	1	1	yes	characteristic, complemented
171	#65060	C₂²	1	1	yes	characteristic, complemented
172	#65060	C₂²	1	1	yes	characteristic, complemented
173	#65060	C₂²	1	1	yes	characteristic, complemented
174	#65060	C₂²	1	1	yes	characteristic, complemented
175	#65060	C₂²	1	1	yes	characteristic, complemented
176	#65060	C₂²	1	1	yes	characteristic, complemented
177	#65059	C₂²	1	1	yes	characteristic
178	#65059	C₂²	1	1	yes	characteristic, complemented
179	#65059	C₂²	1	1	yes	characteristic, complemented
180	D₅×#102	C₂²	1	1	yes	characteristic
181	D₅×#102	C₂²	1	1	yes	characteristic
182	D₅×#102	C₂²	1	1	yes	characteristic, complemented
183	D₅×#102	C₂²	1	1	yes	characteristic, complemented
184	#65057	C₂²	1	1	yes	characteristic, complemented
185	#65057	C₂²	1	1	yes	characteristic, complemented
186	#65057	C₂²	1	1	yes	characteristic, complemented
187	#65057	C₂²	1	1	yes	characteristic, complemented
188	#65055	C₂²	1	1	yes	characteristic, complemented
189	#65052	C₂²	1	1	yes	characteristic, complemented
190	#65045	C₂²	1	1	yes	characteristic, complemented
191	#65023	C₂²	1	1	yes	characteristic, complemented
192	#65023	C₂²	1	1	yes	characteristic, complemented
193	#65018	C₂²	1	1	yes	characteristic, complemented
194	#65016	C₂²	1	1	yes	characteristic, complemented
195	#65016	C₂²	1	1	yes	characteristic, complemented
196	#65014	C₂²	1	1	yes	characteristic, complemented
197	#65012	C₂²	1	1	yes	characteristic, complemented
198	#65010	C₂²	1	1	yes	characteristic, complemented
199	#65000	C₂²	1	1	yes	characteristic, complemented
200	#64996	C₂²	1	1	yes	characteristic, complemented
201	#64995	C₂²	1	1	yes	characteristic, complemented
202	#64992	C₂²	1	1	yes	characteristic, complemented
203	#61201	—	5	1	no	maximal, Sylow
204	C₂²×C₅×D₄	—	2	1	no	—
205	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
206	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
207	C₂²×C₂²⋊D₅	—	2	1	no	—
208	C₂²×C₂²⋊D₅	—	2	1	no	—
209	C₂²×C₂²⋊D₅	—	2	1	no	—
210	C₂²×C₂²⋊D₅	—	2	1	no	—
211	C₂×#713	C₂³	1	1	yes	characteristic
212	#4144	—	2	4	no	—
213	#4144	—	2	4	no	—
214	#4144	—	4	2	no	—
215	#4144	—	4	2	no	—
216	C₂×#711	—	2	1	no	—
217	C₂×#711	—	2	1	no	—
218	C₂×#711	C₂³	1	1	yes	characteristic
219	C₂×#711	C₂³	1	1	yes	characteristic
220	C₂×#711	C₂³	1	1	yes	characteristic
221	C₂×#711	C₂³	1	1	yes	characteristic
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	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×#709	C₂³	1	1	yes	characteristic
229	C₂×#709	C₂³	1	1	yes	characteristic
230	C₂×#709	C₂³	1	1	yes	characteristic
231	C₂×#709	C₂³	1	1	yes	characteristic
232	C₂²×C₄×D₅	—	2	1	no	—
233	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
234	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
237	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
238	C₅×#127	C₂³	1	1	yes	characteristic
239	C₅×#126	—	2	1	no	—
240	C₅×#125	—	2	1	no	—
241	C₅×#125	C₂³	1	1	yes	characteristic
242	C₅×#123	—	2	1	no	—
243	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
244	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
245	C₅×#121	—	2	1	no	—
246	C₅×#121	C₂³	1	1	yes	characteristic
247	C₅×#121	C₂³	1	1	yes	characteristic
248	C₅×#120	—	2	1	no	—
249	C₅×#120	—	2	1	no	—
250	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
251	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
252	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
253	C₅×#117	—	2	1	no	—
254	C₅×#117	C₂³	1	1	yes	characteristic
255	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	#4099	—	2	1	no	—
257	#4099	—	2	1	no	—
258	C₂×C₂²⋊Dic₅	—	2	1	no	—
259	C₂×C₂²⋊Dic₅	—	2	1	no	—
260	#4092	C₂³	1	1	yes	characteristic
261	#4092	C₂³	1	1	yes	characteristic
262	Q₈×Dic₅	C₂³	1	1	yes	characteristic
263	C₂×#689	C₂³	1	1	yes	characteristic
264	C₂×#689	C₂³	1	1	yes	characteristic
265	C₂×#688	C₂³	1	1	yes	characteristic
266	#4086	D₄	1	1	yes	characteristic
267	#4085	—	2	1	no	—
268	#4085	—	2	1	no	—
269	#4085	—	2	1	no	—
270	#4085	—	2	1	no	—
271	#4085	—	2	1	no	—
272	#4084	—	2	1	no	—
273	#4084	—	2	1	no	—
274	#4084	—	2	1	no	—
275	#4084	—	2	1	no	—
276	#4084	—	2	1	no	—
277	#4084	—	2	1	no	—
278	#4084	—	2	1	no	—
279	#4084	—	2	1	no	—
280	#4084	D₄	1	1	yes	characteristic
281	#4084	C₂³	1	1	yes	characteristic
282	#4084	C₂³	1	1	yes	characteristic
283	#4083	—	2	1	no	—
284	#4083	—	2	1	no	—
285	#4083	—	2	1	no	—
286	#4083	—	2	1	no	—
287	#4082	C₂³	1	1	yes	characteristic
288	#4082	C₂³	1	1	yes	characteristic
289	#4081	—	2	1	no	—
290	#4081	—	2	1	no	—
291	D₄×Dic₅	—	2	1	no	—
292	D₄×Dic₅	—	2	1	no	—
293	D₄×Dic₅	C₂³	1	1	yes	characteristic
294	C₂×#686	C₂³	1	1	yes	characteristic
295	C₂×#686	C₂³	1	1	yes	characteristic
296	C₂×#686	C₂³	1	1	yes	characteristic
297	#4076	—	2	1	no	—
298	#4076	—	2	1	no	—
299	#4076	C₂³	1	1	yes	characteristic
300	#4076	C₂³	1	1	yes	characteristic
301	C₄×C₂²⋊D₅	—	2	1	no	—
302	C₄×C₂²⋊D₅	—	2	1	no	—
303	C₄×C₂²⋊D₅	—	2	1	no	—
304	C₄×C₂²⋊D₅	—	2	1	no	—
305	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
306	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
307	#4072	C₂³	1	1	yes	characteristic
308	C₂×C₄⋊Dic₅	—	2	1	no	—
309	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
310	#4070	C₂³	1	1	yes	characteristic
311	#4070	C₂³	1	1	yes	characteristic
312	C₂×#681	C₂³	1	1	yes	characteristic
313	C₂²×#168	C₂³	1	1	yes	characteristic
314	#4062	—	4	2	no	—
315	#4062	—	4	2	no	—
316	#4060	—	2	4	no	—
317	#4053	—	4	2	no	—
318	C₂×D₄₀	C₂³	1	1	yes	characteristic
319	C₂×#677	C₂³	1	1	yes	characteristic
320	C₂×#677	C₂³	1	1	yes	characteristic
321	#4047	—	4	2	no	—
322	C₂×#676	C₂³	1	1	yes	characteristic
323	C₂×#676	C₂³	1	1	yes	characteristic
324	C₂×#676	C₂³	1	1	yes	characteristic
325	C₂×#676	C₂³	1	1	yes	characteristic
326	C₂×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
330	#4044	—	2	1	no	—
331	#4044	—	2	1	no	—
332	#4044	—	2	1	no	—
333	#4044	—	2	1	no	—
334	#4043	C₂³	1	1	yes	characteristic
335	#4043	C₂³	1	1	yes	characteristic
336	#4042	—	2	1	no	—
337	#4042	—	2	1	no	—
338	#4041	—	2	1	no	—
339	#4041	—	2	1	no	—
340	#4041	—	2	1	no	—
341	#4041	D₄	1	1	yes	characteristic
342	#4041	C₂³	1	1	yes	characteristic
343	#4041	C₂³	1	1	yes	characteristic
344	#4040	—	2	1	no	—
345	#4040	—	2	1	no	—
346	#4040	—	2	1	no	—
347	#4039	—	2	1	no	—
348	#4039	—	2	1	no	—
349	#4039	—	2	1	no	—
350	#4039	C₂³	1	1	yes	characteristic
351	#4039	C₂³	1	1	yes	characteristic
352	#4038	—	2	1	no	—
353	#4038	—	2	1	no	—
354	#4038	C₂³	1	1	yes	characteristic
355	#4038	C₂³	1	1	yes	characteristic
356	#4038	C₂³	1	1	yes	characteristic
357	D₅×C₄⋊C₄	—	2	1	no	—
358	D₅×C₄⋊C₄	—	2	1	no	—
359	D₅×C₄⋊C₄	—	2	1	no	—
360	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
361	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
362	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
363	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
364	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
365	#4036	—	2	1	no	—
366	#4036	C₂³	1	1	yes	characteristic
367	#4036	C₂³	1	1	yes	characteristic
368	#4035	—	2	1	no	—
369	#4035	—	2	1	no	—
370	#4035	—	2	1	no	—
371	#4035	—	2	1	no	—
372	#4034	D₄	1	1	yes	characteristic
373	#4033	—	2	1	no	—
374	#4032	—	2	1	no	—
375	#4032	—	2	1	no	—
376	#4032	—	2	1	no	—
377	#4031	D₄	1	1	yes	characteristic
378	#4031	D₄	1	1	yes	characteristic
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	—	2	1	no	—
385	#4030	—	2	1	no	—
386	#4030	D₄	1	1	yes	characteristic
387	#4030	D₄	1	1	yes	characteristic
388	#4029	—	2	1	no	—
389	#4029	—	2	1	no	—
390	#4029	—	2	1	no	—
391	#4029	—	2	1	no	—
392	#4029	—	2	1	no	—
393	#4029	—	2	1	no	—
394	#4029	—	2	1	no	—
395	#4027	—	2	1	no	—
396	#4027	—	2	1	no	—
397	#4027	—	2	1	no	—
398	#4027	—	2	1	no	—
399	D₅×C₂²⋊C₄	—	2	1	no	—
400	D₅×C₂²⋊C₄	—	2	1	no	—
401	D₅×C₂²⋊C₄	—	2	1	no	—
402	#4025	—	2	1	no	—
403	#4024	—	2	1	no	—
404	#4024	—	2	1	no	—
405	#4023	—	2	1	no	—
406	#4022	—	2	1	no	—
407	#4022	—	2	1	no	—
408	C₄×D₂₀	—	2	1	no	—
409	C₄×D₂₀	—	2	1	no	—
410	C₄×D₂₀	—	2	1	no	—
411	C₄×D₂₀	C₂³	1	1	yes	characteristic
412	C₄×D₂₀	C₂³	1	1	yes	characteristic
413	C₄×D₂₀	C₂³	1	1	yes	characteristic
414	#4018	—	2	1	no	—
415	C₄²×D₅	—	2	1	no	—
416	C₄²×D₅	C₂³	1	1	yes	characteristic
417	#4016	C₂³	1	1	yes	characteristic
418	#4015	C₂³	1	1	yes	characteristic
419	C₄×Dic₁₀	—	2	1	no	—
420	C₅×#107	C₂³	1	1	yes	characteristic
421	C₅×#107	C₂³	1	1	yes	characteristic
422	C₅×#106	C₂³	1	1	yes	characteristic
423	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₅×#103	C₂³	1	1	yes	characteristic
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
432	C₅×#102	C₂³	1	1	yes	characteristic
433	C₅×#102	C₂³	1	1	yes	characteristic
434	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
436	C₅×#97	C₂³	1	1	yes	characteristic
437	#3967	C₂³	1	1	yes	characteristic
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
445	#3964	C₂³	1	1	yes	characteristic
446	#3964	C₂³	1	1	yes	characteristic
447	C₂²⋊#168	C₂³	1	1	yes	characteristic
448	C₂²⋊#168	C₂³	1	1	yes	characteristic
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	#3952	C₂³	1	1	yes	characteristic
454	#3952	C₂³	1	1	yes	characteristic
455	#3952	C₂³	1	1	yes	characteristic
456	#3952	C₂³	1	1	yes	characteristic
457	#3950	C₂³	1	1	yes	characteristic
458	#3949	C₂³	1	1	yes	characteristic
459	#3949	C₂³	1	1	yes	characteristic
460	#3948	C₂³	1	1	yes	characteristic
461	#3948	C₂³	1	1	yes	characteristic
462	#3948	C₂³	1	1	yes	characteristic
463	#3948	C₂³	1	1	yes	characteristic
464	#3948	C₂³	1	1	yes	characteristic
465	#3948	C₂³	1	1	yes	characteristic
466	#3946	C₂³	1	1	yes	characteristic
467	#3946	C₂³	1	1	yes	characteristic
468	C₈×Dic₅	C₂³	1	1	yes	characteristic
469	C₈×Dic₅	C₂³	1	1	yes	characteristic
470	#3942	C₂³	1	1	yes	characteristic
471	#3942	C₂³	1	1	yes	characteristic
472	#3942	C₂³	1	1	yes	characteristic
473	#3942	C₂³	1	1	yes	characteristic
474	#3942	C₂³	1	1	yes	characteristic
475	#3942	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	#3940	C₂³	1	1	yes	characteristic
481	#3940	C₂³	1	1	yes	characteristic
482	#3940	C₂³	1	1	yes	characteristic
483	#3939	C₂³	1	1	yes	characteristic
484	#3939	C₂³	1	1	yes	characteristic
485	#3939	C₂³	1	1	yes	characteristic
486	C₄⋊#168	C₂³	1	1	yes	characteristic
487	#3935	C₂³	1	1	yes	characteristic
488	#3512	—	5	1	no	—
489	#3496	—	5	1	no	—
490	#3323	—	5	1	no	—
491	#3323	—	5	1	no	—
492	#3322	—	5	1	no	—
493	#3322	—	5	1	no	—
494	#3318	—	5	1	no	—
495	#3318	—	5	1	no	—
496	#3315	—	5	1	no	—
497	#3315	—	5	1	no	—
498	#3310	—	5	1	no	—
499	#3310	D₅	1	1	yes	characteristic, complemented
500	#3307	—	5	1	no	—
501	#3307	—	5	1	no	—
502	#3297	—	5	1	no	—
503	#3297	—	5	1	no	—
504	#3296	—	5	1	no	—
505	#3296	—	5	1	no	—
506	#3142	—	5	1	no	—
507	#3099	—	5	1	no	—
508	#3098	—	5	1	no	—
509	C₂×#478	—	5	1	no	—
510	#3061	—	5	1	no	—
511	#3060	—	5	1	no	—
512	#3035	—	5	1	no	—
513	#3012	—	5	1	no	—
514	#3012	—	5	1	no	—
515	C₄×AGL(1,ℤ/8)	—	5	1	no	—
516	#2935	—	5	1	no	—
517	#2897	—	5	1	no	—
518	#2897	—	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	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
525	C₂×C₅×D₄	—	2	2	no	—
526	C₂×C₅×D₄	—	2	2	no	—
527	C₂×C₅×D₄	—	2	1	no	—
528	C₂×C₅×D₄	—	2	1	no	—
529	C₂×C₅×D₄	—	2	1	no	—
530	C₂×C₅×D₄	—	2	1	no	—
531	C₂×C₅×D₄	—	2	1	no	—
532	C₂×C₅×D₄	—	2	1	no	—
533	C₂×C₅×D₄	—	4	1	no	—
534	C₂×C₅×D₄	—	4	1	no	—
535	C₂×C₅×D₄	—	8	2	no	—
536	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
537	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
538	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
539	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
540	C₂²×C₄×C₅	—	2	1	no	—
541	C₂²×C₄×C₅	—	2	1	no	—
542	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
543	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
544	C₂×C₂²⋊D₅	—	2	1	no	—
545	C₂×C₂²⋊D₅	—	2	1	no	—
546	C₂×C₂²⋊D₅	—	2	1	no	—
547	C₂×C₂²⋊D₅	—	2	1	no	—
548	C₂×C₂²⋊D₅	—	2	1	no	—
549	C₂×C₂²⋊D₅	—	2	1	no	—
550	C₂×C₂²⋊D₅	—	2	1	no	—
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	—	4	4	no	—
558	C₂×C₂²⋊D₅	—	4	4	no	—
559	C₂×C₂²⋊D₅	—	4	4	no	—
560	C₂×C₂²⋊D₅	—	4	4	no	—
561	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
562	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
563	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
564	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
565	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
566	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
567	C₂²×Dic₅	—	2	1	no	—
568	C₂²×Dic₅	—	2	1	no	—
569	C₂²×Dic₅	—	2	1	no	—
570	C₂²×Dic₅	—	2	1	no	—
571	C₂²×Dic₅	—	2	1	no	—
572	C₂²×Dic₅	—	2	1	no	—
573	#713	—	2	2	no	—
574	#713	—	2	2	no	—
575	#711	—	2	2	no	—
576	#711	—	2	2	no	—
577	#711	—	2	2	no	—
578	#711	—	2	2	no	—
579	#711	—	2	2	no	—
580	#711	—	2	2	no	—
581	#711	—	4	1	no	—
582	#711	—	4	1	no	—
583	#711	—	4	4	no	—
584	#711	—	4	4	no	—
585	D₄×D₅	—	2	2	no	—
586	D₄×D₅	—	2	2	no	—
587	D₄×D₅	—	2	2	no	—
588	D₄×D₅	—	4	1	no	—
589	D₄×D₅	—	4	1	no	—
590	D₄×D₅	—	4	4	no	—
591	D₄×D₅	—	4	4	no	—
592	D₄×D₅	—	8	2	no	—
593	D₄×D₅	#41	1	4	yes	—
594	#709	—	2	2	no	—
595	#709	—	2	2	no	—
596	#709	—	2	2	no	—
597	#709	—	2	2	no	—
598	#709	—	2	2	no	—
599	#709	—	2	2	no	—
600	#709	—	4	1	no	—
601	#709	—	4	1	no	—
602	C₂×D₂₀	—	2	1	no	—
603	C₂×D₂₀	—	2	1	no	—
604	C₂×D₂₀	—	2	1	no	—
605	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
606	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
607	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
608	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
609	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
610	C₂×C₄×D₅	—	2	1	no	—
611	C₂×C₄×D₅	—	2	1	no	—
612	C₂×C₄×D₅	—	2	1	no	—
613	C₂×C₄×D₅	—	2	1	no	—
614	C₂×C₄×D₅	—	2	1	no	—
615	C₂×C₄×D₅	—	2	1	no	—
616	C₂×C₄×D₅	—	2	1	no	—
617	C₂×C₄×D₅	—	2	1	no	—
618	C₂×C₄×D₅	—	2	1	no	—
619	C₂×C₄×D₅	—	2	1	no	—
620	C₂×C₄×D₅	—	2	1	no	—
621	C₂×C₄×D₅	—	2	1	no	—
622	C₂×C₄×D₅	—	8	2	no	—
623	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
624	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
625	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
626	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
627	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
628	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
629	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
630	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
631	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
632	C₅×SD₁₆	—	2	2	no	—
633	C₅×SD₁₆	—	4	1	no	—
634	C₅×SD₁₆	—	4	1	no	—
635	C₅×M₁₆	—	4	1	no	—
636	C₂×C₅×C₈	—	4	1	no	—
637	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
638	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
639	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
640	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
641	C₅×C₄⋊C₄	—	2	1	no	—
642	C₅×C₄⋊C₄	—	2	1	no	—
643	C₅×C₄⋊C₄	—	2	1	no	—
644	C₅×C₄⋊C₄	—	2	1	no	—
645	C₅×C₄⋊C₄	—	2	1	no	—
646	C₅×C₄⋊C₄	—	2	1	no	—
647	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
648	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
649	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
650	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
651	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
652	C₅×C₂²⋊C₄	—	2	1	no	—
653	C₅×C₂²⋊C₄	—	2	1	no	—
654	C₅×C₂²⋊C₄	—	2	1	no	—
655	C₅×C₂²⋊C₄	—	2	1	no	—
656	C₅×C₂²⋊C₄	—	2	1	no	—
657	C₅×C₂²⋊C₄	—	2	1	no	—
658	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
659	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
660	C₄²×C₅	—	2	1	no	—
661	C₄²×C₅	—	2	1	no	—
662	C₄²×C₅	C₂⁴	1	1	yes	characteristic
663	C₂²⋊Dic₅	—	2	1	no	—
664	C₂²⋊Dic₅	—	2	1	no	—
665	C₂²⋊Dic₅	—	2	1	no	—
666	C₂²⋊Dic₅	—	2	1	no	—
667	C₂²⋊Dic₅	—	2	1	no	—
668	C₂²⋊Dic₅	—	2	1	no	—
669	C₂²⋊Dic₅	—	2	1	no	—
670	C₂²⋊Dic₅	—	2	1	no	—
671	C₂²⋊Dic₅	—	2	1	no	—
672	C₂²⋊Dic₅	—	2	1	no	—
673	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
674	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
675	#689	—	4	1	no	—
676	#689	—	4	1	no	—
677	#688	—	2	2	no	—
678	#686	—	2	2	no	—
679	#686	—	4	1	no	—
680	#686	—	4	1	no	—
681	#685	—	2	1	no	—
682	#685	—	2	1	no	—
683	#685	—	2	1	no	—
684	#685	—	2	1	no	—
685	#685	—	2	1	no	—
686	#685	—	2	1	no	—
687	#685	—	2	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	C₂×D₄	1	1	yes	characteristic
697	#685	C₂×D₄	1	1	yes	characteristic
698	#685	C₂×D₄	1	1	yes	characteristic
699	#685	C₂×D₄	1	1	yes	characteristic
700	C₄⋊Dic₅	—	2	1	no	—
701	C₄⋊Dic₅	—	2	1	no	—
702	C₄⋊Dic₅	—	2	1	no	—
703	C₄⋊Dic₅	—	2	1	no	—
704	C₄⋊Dic₅	—	2	1	no	—
705	C₄⋊Dic₅	—	2	1	no	—
706	C₄⋊Dic₅	—	2	1	no	—
707	C₄⋊Dic₅	—	2	1	no	—
708	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
709	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
710	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
711	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
712	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
713	#683	—	2	1	no	—
714	#683	—	2	1	no	—
715	#683	—	2	1	no	—
716	#683	—	2	1	no	—
717	#683	—	2	1	no	—
718	#683	—	2	1	no	—
719	#683	—	2	1	no	—
720	#683	—	2	1	no	—
721	#683	—	2	1	no	—
722	#683	—	2	1	no	—
723	#683	—	2	1	no	—
724	#683	—	2	1	no	—
725	#683	—	2	1	no	—
726	#683	C₂×D₄	1	1	yes	characteristic
727	#683	C₂×D₄	1	1	yes	characteristic
728	C₄×Dic₅	—	2	1	no	—
729	C₄×Dic₅	—	2	1	no	—
730	C₄×Dic₅	—	2	1	no	—
731	C₄×Dic₅	—	2	1	no	—
732	C₄×Dic₅	—	2	1	no	—
733	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
734	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
735	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
736	#681	—	4	1	no	—
737	C₂×#168	—	4	1	no	—
738	C₂×#168	C₂⁴	1	1	yes	characteristic
739	C₂×#168	C₂⁴	1	1	yes	characteristic
740	C₂×#168	C₂⁴	1	1	yes	characteristic
741	C₂×#168	C₂⁴	1	1	yes	characteristic
742	D₄₀	—	2	2	no	—
743	#677	—	4	1	no	—
744	#677	—	4	1	no	—
745	#676	—	2	2	no	—
746	#676	—	2	2	no	—
747	#676	—	4	1	no	—
748	#676	—	4	1	no	—
749	C₈×D₅	—	2	2	no	—
750	C₈×D₅	—	2	2	no	—
751	C₈×D₅	—	4	1	no	—
752	C₈×D₅	—	4	1	no	—
753	C₂×H(5,𝔽₂)	—	5	1	no	—
754	C₂×H(5,𝔽₂)	—	5	1	no	—
755	C₂×AGL(1,ℤ/8)	—	5	1	no	—
756	C₂×#135	—	5	1	no	—
757	C₂×#135	—	5	1	no	—
758	C₂×#131	—	5	1	no	—
759	C₂×#131	—	5	1	no	—
760	#553	—	5	1	no	—
761	#553	—	5	1	no	—
762	#553	—	5	1	no	—
763	#553	—	5	1	no	—
764	#553	—	10	1	no	—
765	#553	—	10	1	no	—
766	#553	—	10	1	no	—
767	#553	—	10	1	no	—
768	#552	—	5	1	no	—
769	#552	—	5	1	no	—
770	#552	—	5	1	no	—
771	#552	C₂×D₅	1	1	yes	characteristic, complemented
772	#547	—	5	1	no	—
773	#547	—	5	1	no	—
774	#547	—	10	1	no	—
775	#546	—	5	1	no	—
776	#546	—	5	1	no	—
777	#546	—	5	1	no	—
778	#546	—	5	1	no	—
779	#546	—	10	1	no	—
780	#546	—	10	1	no	—
781	D₄²	—	5	1	no	—
782	D₄²	—	10	1	no	—
783	D₄²	C₂×D₅	1	1	yes	characteristic
784	#541	—	10	1	no	—
785	#540	—	10	1	no	—
786	#537	—	5	1	no	—
787	#537	—	5	1	no	—
788	#537	—	5	1	no	—
789	#537	—	5	1	no	—
790	#534	—	10	1	no	—
791	#534	—	10	1	no	—
792	#532	—	5	1	no	—
793	#532	—	5	1	no	—
794	#529	—	10	1	no	—
795	#529	—	10	1	no	—
796	C₂×#125	—	5	1	no	—
797	C₂×#121	—	10	1	no	—
798	C₂×#121	—	10	1	no	—
799	#520	—	5	1	no	—
800	#520	—	5	1	no	—
801	C₄×#41	—	5	1	no	—
802	C₂×C₄×D₄	—	5	1	no	—
803	#491	—	5	1	no	—
804	#491	—	5	1	no	—
805	#490	—	5	1	no	—
806	#490	C₂×D₅	1	1	yes	characteristic, complemented
807	#488	—	5	1	no	—
808	#488	—	5	1	no	—
809	#488	—	5	1	no	—
810	#488	—	5	1	no	—
811	#485	—	5	1	no	—
812	#485	—	5	1	no	—
813	#485	—	5	1	no	—
814	#485	—	5	1	no	—
815	#484	—	5	1	no	—
816	#484	—	5	1	no	—
817	#483	—	5	1	no	—
818	#483	—	5	1	no	—
819	#482	—	5	1	no	—
820	#482	—	5	1	no	—
821	#482	—	5	1	no	—
822	#482	C₂×D₅	1	1	yes	characteristic, complemented
823	#481	—	5	1	no	—
824	#481	—	5	1	no	—
825	#480	—	5	1	no	—
826	#480	C₂×D₅	1	1	yes	characteristic, complemented
827	#478	—	5	1	no	—
828	#478	—	5	1	no	—
829	#478	—	5	1	no	—
830	#478	—	5	1	no	—
831	#478	—	5	1	no	—
832	#478	—	5	1	no	—
833	#478	—	5	1	no	—
834	#478	C₂×D₅	1	1	yes	characteristic, complemented
835	#470	—	5	1	no	—
836	#470	—	5	1	no	—
837	#469	—	5	1	no	—
838	#469	—	5	1	no	—
839	#468	—	5	1	no	—
840	#468	—	5	1	no	—
841	#468	—	5	1	no	—
842	#468	C₂×D₅	1	1	yes	characteristic, complemented
843	#467	—	5	1	no	—
844	#467	—	5	1	no	—
845	#466	—	5	1	no	—
846	#466	—	5	1	no	—
847	#465	—	5	1	no	—
848	#465	—	5	1	no	—
849	#465	—	5	1	no	—
850	#465	C₂×D₅	1	1	yes	characteristic, complemented
851	#464	—	5	1	no	—
852	#464	—	5	1	no	—
853	#463	—	5	1	no	—
854	#463	—	5	1	no	—
855	#462	—	5	1	no	—
856	#461	—	5	1	no	—
857	#460	C₂×D₅	1	1	yes	characteristic, complemented
858	#459	—	5	1	no	—
859	#452	—	5	1	no	—
860	#452	—	5	1	no	—
861	#452	—	5	1	no	—
862	#452	—	5	1	no	—
863	#450	—	5	1	no	—
864	#450	—	5	1	no	—
865	#450	C₂×D₅	1	1	yes	characteristic, complemented
866	#450	C₂×D₅	1	1	yes	characteristic, complemented
867	#449	—	5	1	no	—
868	#449	—	5	1	no	—
869	#449	—	5	1	no	—
870	#449	—	5	1	no	—
871	#447	—	5	1	no	—
872	#447	—	5	1	no	—
873	#447	—	5	1	no	—
874	#447	—	5	1	no	—
875	#442	—	5	1	no	—
876	#442	—	5	1	no	—
877	#440	—	5	1	no	—
878	#440	C₂×D₅	1	1	yes	characteristic, complemented
879	C₄×SD₁₆	—	5	1	no	—
880	C₄×SD₁₆	—	5	1	no	—
881	C₄×D₈	—	5	1	no	—
882	C₄×D₈	—	5	1	no	—
883	#436	—	5	1	no	—
884	#436	—	5	1	no	—
885	#435	—	5	1	no	—
886	#435	—	5	1	no	—
887	#435	—	5	1	no	—
888	#435	C₂×D₅	1	1	yes	characteristic, complemented
889	C₈×D₄	—	5	1	no	—
890	C₈×D₄	—	5	1	no	—
891	#428	—	5	1	no	—
892	C₂×#107	—	5	1	no	—
893	C₂×#106	—	5	1	no	—
894	C₂×C₄⋊C₈	—	5	1	no	—
895	#418	—	5	1	no	—
896	#418	—	5	1	no	—
897	#418	—	5	1	no	—
898	#418	—	5	1	no	—
899	#418	C₂×D₅	1	1	yes	characteristic, complemented
900	#417	—	5	1	no	—
901	#417	—	5	1	no	—
902	#417	—	5	1	no	—
903	#417	—	5	1	no	—
904	#417	—	5	1	no	—
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	#416	—	5	1	no	—
914	#416	—	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	C₂×D₅	1	1	yes	characteristic, complemented
921	#408	—	5	1	no	—
922	#408	—	5	1	no	—
923	C₄×M₁₆	—	5	1	no	—
924	C₂³×C₅	—	2	1	no	—
925	C₂³×C₅	—	2	1	no	—
926	C₂³×C₅	—	2	1	no	—
927	C₂³×C₅	—	4	2	no	—
928	C₂³×C₅	—	4	2	no	—
929	C₂³×C₅	—	8	1	no	—
930	C₂³×C₅	—	8	1	no	—
931	C₂³×C₅	—	8	1	no	—
932	C₂³×C₅	—	8	1	no	—
933	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
934	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
935	C₂²×D₅	—	2	1	no	—
936	C₂²×D₅	—	2	4	no	—
937	C₂²×D₅	—	2	1	no	—
938	C₂²×D₅	—	4	2	no	—
939	C₂²×D₅	—	4	2	no	—
940	C₂²×D₅	—	8	1	no	—
941	C₂²×D₅	—	8	1	no	—
942	C₂²×D₅	—	8	1	no	—
943	C₂²×D₅	—	8	1	no	—
944	C₂²×D₅	—	8	1	no	—
945	C₂²×D₅	—	8	1	no	—
946	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
947	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
948	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
949	C₅×Q₈	—	2	1	no	—
950	C₅×Q₈	—	2	1	no	—
951	C₅×D₄	—	2	1	no	—
952	C₅×D₄	—	2	1	no	—
953	C₅×D₄	—	2	1	no	—
954	C₅×D₄	—	2	1	no	—
955	C₅×D₄	—	2	1	no	—
956	C₅×D₄	—	4	1	no	—
957	C₅×D₄	—	4	2	no	—
958	C₅×D₄	—	4	2	no	—
959	C₅×D₄	—	4	2	no	—
960	C₅×D₄	—	8	1	no	—
961	C₅×D₄	—	8	1	no	—
962	C₅×D₄	—	8	1	no	—
963	C₅×D₄	C₂×#41	1	2	yes	—
964	C₂×C₄×C₅	—	2	1	no	—
965	C₂×C₄×C₅	—	2	1	no	—
966	C₂×C₄×C₅	—	2	1	no	—
967	C₂×C₄×C₅	—	2	1	no	—
968	C₂×C₄×C₅	—	2	1	no	—
969	C₂×C₄×C₅	—	2	1	no	—
970	C₂×C₄×C₅	—	2	1	no	—
971	C₂×C₄×C₅	—	2	1	no	—
972	C₂×C₄×C₅	—	2	1	no	—
973	C₂×C₄×C₅	—	4	2	no	—
974	C₂×C₄×C₅	—	8	1	no	—
975	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
976	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
977	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
978	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
979	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
980	C₂²⋊D₅	—	2	2	no	—
981	C₂²⋊D₅	—	2	2	no	—
982	C₂²⋊D₅	—	2	2	no	—
983	C₂²⋊D₅	—	2	2	no	—
984	C₂²⋊D₅	—	2	4	no	—
985	C₂²⋊D₅	—	4	1	no	—
986	C₂²⋊D₅	—	4	1	no	—
987	C₂²⋊D₅	—	4	2	no	—
988	C₂²⋊D₅	—	4	2	no	—
989	C₂²⋊D₅	—	4	2	no	—
990	C₂²⋊D₅	—	4	2	no	—
991	C₂²⋊D₅	—	4	2	no	—
992	C₂²⋊D₅	—	4	2	no	—
993	C₂²⋊D₅	—	4	2	no	—
994	C₂²⋊D₅	—	4	2	no	—
995	C₂²⋊D₅	—	8	1	no	—
996	C₂²⋊D₅	—	8	1	no	—
997	C₂²⋊D₅	—	8	1	no	—
998	C₂²⋊D₅	—	8	1	no	—
999	C₂×Dic₅	—	2	1	no	—
1000	C₂×Dic₅	—	2	1	no	—
1001	C₂×Dic₅	—	2	1	no	—
1002	C₂×Dic₅	—	2	1	no	—
1003	C₂×Dic₅	—	2	1	no	—
1004	C₂×Dic₅	—	2	1	no	—
1005	C₂×Dic₅	—	4	2	no	—
1006	C₂×Dic₅	—	4	2	no	—
1007	C₂×Dic₅	—	4	2	no	—
1008	C₂×Dic₅	—	4	2	no	—
1009	C₂×Dic₅	—	8	1	no	—
1010	C₂×Dic₅	—	8	1	no	—
1011	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1012	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1013	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1014	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1015	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1016	D₂₀	—	2	2	no	—
1017	D₂₀	—	2	2	no	—
1018	D₂₀	—	2	1	no	—
1019	D₂₀	—	2	1	no	—
1020	D₂₀	—	2	1	no	—
1021	D₂₀	—	4	1	no	—
1022	D₂₀	—	4	2	no	—
1023	D₂₀	—	8	1	no	—
1024	D₂₀	—	8	1	no	—
1025	D₂₀	C₂×#41	1	2	yes	—
1026	C₄×D₅	—	2	1	no	—
1027	C₄×D₅	—	2	1	no	—
1028	C₄×D₅	—	2	1	no	—
1029	C₄×D₅	—	2	1	no	—
1030	C₄×D₅	—	4	1	no	—
1031	C₄×D₅	—	4	1	no	—
1032	C₄×D₅	—	4	2	no	—
1033	C₄×D₅	—	4	2	no	—
1034	C₄×D₅	—	4	2	no	—
1035	C₄×D₅	—	4	2	no	—
1036	C₄×D₅	—	8	1	no	—
1037	C₄×D₅	—	8	1	no	—
1038	C₄×D₅	—	8	1	no	—
1039	C₄×D₅	—	8	1	no	—
1040	C₄×D₅	—	8	1	no	—
1041	C₄×D₅	—	8	1	no	—
1042	C₄×D₅	—	8	1	no	—
1043	C₄×D₅	—	8	1	no	—
1044	C₄×D₅	C₂×#41	1	2	yes	—
1045	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1046	Dic₁₀	—	2	2	no	—
1047	Dic₁₀	—	2	2	no	—
1048	Dic₁₀	—	2	1	no	—
1049	Dic₁₀	—	2	1	no	—
1050	Dic₁₀	—	2	1	no	—
1051	Dic₁₀	—	2	1	no	—
1052	C₅×C₈	—	2	1	no	—
1053	C₅×C₈	—	2	1	no	—
1054	C₅×C₈	—	2	1	no	—
1055	C₅×C₈	—	2	1	no	—
1056	#168	—	2	1	no	—
1057	#168	—	2	1	no	—
1058	#168	—	2	1	no	—
1059	#168	—	2	1	no	—
1060	H(5,𝔽₂)	—	10	4	no	—
1061	H(5,𝔽₂)	—	10	4	no	—
1062	H(5,𝔽₂)	—	20	2	no	—
1063	H(5,𝔽₂)	—	20	2	no	—
1064	C₂×#41	—	5	1	no	—
1065	C₂×#41	—	5	1	no	—
1066	C₂×#41	—	5	1	no	—
1067	C₂×#41	—	5	1	no	—
1068	C₂×#41	—	5	1	no	—
1069	C₂×#41	—	5	1	no	—
1070	C₂×#41	—	5	1	no	—
1071	C₂×#41	—	5	1	no	—
1072	C₂×#41	—	5	1	no	—
1073	C₂×#41	—	10	1	no	—
1074	C₂×#41	—	10	1	no	—
1075	C₂²×D₄	—	2	1	no	—
1076	C₂²×D₄	—	5	1	no	—
1077	C₂²×D₄	—	5	1	no	—
1078	C₂²×D₄	—	5	1	no	—
1079	C₂²×D₄	—	10	1	no	—
1080	C₂²×D₄	—	10	1	no	—
1081	C₂²×D₄	—	10	1	no	—
1082	C₂²×D₄	—	10	1	no	—
1083	C₂²×D₄	—	10	1	no	—
1084	C₂²×D₄	—	10	1	no	—
1085	C₂²×D₄	—	10	1	no	—
1086	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1087	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1088	C₂³×C₄	—	10	1	no	—
1089	AGL(1,ℤ/8)	—	10	4	no	—
1090	#135	—	20	2	no	—
1091	#135	—	20	2	no	—
1092	C₂×Q₁₆	—	5	1	no	—
1093	C₂×Q₁₆	—	5	1	no	—
1094	C₂×SD₁₆	—	5	1	no	—
1095	C₂×SD₁₆	—	5	1	no	—
1096	C₂×SD₁₆	—	5	1	no	—
1097	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1098	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1099	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1100	C₂×D₈	—	5	1	no	—
1101	C₂×D₈	—	5	1	no	—
1102	C₂×D₈	—	5	1	no	—
1103	C₂×D₈	—	5	1	no	—
1104	#131	—	20	2	no	—
1105	#131	—	20	2	no	—
1106	C₂×M₁₆	—	5	1	no	—
1107	C₂×M₁₆	—	5	1	no	—
1108	C₂×M₁₆	—	5	1	no	—
1109	C₂×M₁₆	—	5	1	no	—
1110	C₂×M₁₆	—	5	1	no	—
1111	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1112	C₂²×C₈	—	5	1	no	—
1113	C₂²×C₈	—	5	1	no	—
1114	C₂²×C₈	—	5	1	no	—
1115	C₂²×C₈	—	5	1	no	—
1116	C₂²×C₈	—	5	1	no	—
1117	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1118	C₄⋊Q₈	—	5	1	no	—
1119	C₄⋊Q₈	—	5	1	no	—
1120	#127	—	5	1	no	—
1121	#127	C₂²×D₅	1	1	yes	characteristic
1122	#126	—	2	1	no	—
1123	#126	—	10	1	no	—
1124	#126	—	10	1	no	—
1125	#126	—	10	1	no	—
1126	#126	—	10	1	no	—
1127	#126	—	10	1	no	—
1128	#126	—	10	1	no	—
1129	#126	—	10	1	no	—
1130	#125	—	2	1	no	—
1131	#125	—	5	1	no	—
1132	#125	—	5	1	no	—
1133	#125	—	5	1	no	—
1134	#125	—	10	1	no	—
1135	#125	—	10	1	no	—
1136	#125	—	10	1	no	—
1137	#125	—	10	1	no	—
1138	#125	—	10	1	no	—
1139	#125	C₂²×D₅	1	1	yes	characteristic
1140	#124	—	5	1	no	—
1141	#124	—	5	1	no	—
1142	#124	—	5	1	no	—
1143	#124	—	5	1	no	—
1144	#123	—	2	1	no	—
1145	#123	—	10	1	no	—
1146	#123	—	10	1	no	—
1147	#123	—	10	1	no	—
1148	#123	—	10	1	no	—
1149	#123	—	10	1	no	—
1150	#123	—	10	1	no	—
1151	#123	—	10	1	no	—
1152	#123	—	10	1	no	—
1153	#123	—	10	1	no	—
1154	#123	—	10	1	no	—
1155	#123	—	10	1	no	—
1156	#123	—	10	1	no	—
1157	#123	—	10	1	no	—
1158	#123	—	10	1	no	—
1159	#123	—	10	1	no	—
1160	C₂²⋊Q₈	—	5	1	no	—
1161	C₂²⋊Q₈	—	5	1	no	—
1162	C₂²⋊Q₈	—	5	1	no	—
1163	C₂²⋊Q₈	—	5	1	no	—
1164	C₂²⋊Q₈	—	5	1	no	—
1165	C₂²⋊Q₈	—	5	1	no	—
1166	C₂²⋊Q₈	—	10	1	no	—
1167	C₂²⋊Q₈	—	10	1	no	—
1168	C₂²⋊Q₈	—	10	1	no	—
1169	C₂²⋊Q₈	—	10	1	no	—
1170	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1171	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1172	#121	—	2	1	no	—
1173	#121	—	5	1	no	—
1174	#121	—	5	1	no	—
1175	#121	—	5	1	no	—
1176	#121	—	5	1	no	—
1177	#121	—	5	1	no	—
1178	#121	—	5	1	no	—
1179	#121	—	5	1	no	—
1180	#121	—	5	1	no	—
1181	#121	—	5	1	no	—
1182	#121	—	5	1	no	—
1183	#121	—	10	1	no	—
1184	#121	—	10	1	no	—
1185	#121	—	10	1	no	—
1186	#121	—	10	1	no	—
1187	#121	—	10	1	no	—
1188	#121	—	10	1	no	—
1189	#121	—	10	1	no	—
1190	#121	—	10	1	no	—
1191	#121	—	10	1	no	—
1192	#121	—	10	1	no	—
1193	#121	—	10	1	no	—
1194	#121	—	10	1	no	—
1195	#121	—	10	1	no	—
1196	#121	—	10	1	no	—
1197	#121	—	10	1	no	—
1198	#121	—	10	1	no	—
1199	#121	—	10	1	no	—
1200	#121	—	10	1	no	—
1201	#121	—	10	1	no	—
1202	#121	—	10	1	no	—
1203	#121	—	10	1	no	—
1204	#121	—	10	1	no	—
1205	#121	—	10	1	no	—
1206	#121	—	10	1	no	—
1207	#121	—	10	1	no	—
1208	#121	C₂²×D₅	1	1	yes	characteristic
1209	#121	C₂²×D₅	1	1	yes	characteristic
1210	#120	—	2	1	no	—
1211	#120	—	2	1	no	—
1212	#120	—	10	1	no	—
1213	#120	—	10	1	no	—
1214	#120	—	10	1	no	—
1215	#120	—	10	1	no	—
1216	#120	—	10	1	no	—
1217	#120	—	10	1	no	—
1218	C₄×Q₈	—	5	1	no	—
1219	C₄×Q₈	—	10	1	no	—
1220	C₄×Q₈	—	10	1	no	—
1221	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1222	C₄×D₄	—	5	1	no	—
1223	C₄×D₄	—	5	1	no	—
1224	C₄×D₄	—	5	1	no	—
1225	C₄×D₄	—	5	1	no	—
1226	C₄×D₄	—	5	1	no	—
1227	C₄×D₄	—	5	1	no	—
1228	C₄×D₄	—	5	1	no	—
1229	C₄×D₄	—	5	1	no	—
1230	C₄×D₄	—	10	1	no	—
1231	C₄×D₄	—	10	1	no	—
1232	C₄×D₄	—	10	1	no	—
1233	C₄×D₄	—	10	1	no	—
1234	C₄×D₄	—	10	1	no	—
1235	C₄×D₄	—	10	1	no	—
1236	C₄×D₄	—	10	1	no	—
1237	C₄×D₄	—	10	1	no	—
1238	C₄×D₄	—	10	1	no	—
1239	C₄×D₄	—	10	1	no	—
1240	C₄×D₄	—	10	1	no	—
1241	C₄×D₄	—	10	1	no	—
1242	C₄×D₄	—	10	1	no	—
1243	C₄×D₄	—	10	1	no	—
1244	C₄×D₄	—	10	1	no	—
1245	C₄×D₄	—	10	1	no	—
1246	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1247	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1248	#117	—	2	1	no	—
1249	#117	—	5	1	no	—
1250	#117	—	5	1	no	—
1251	#117	—	5	1	no	—
1252	#117	—	5	1	no	—
1253	#117	—	10	1	no	—
1254	#117	—	10	1	no	—
1255	#117	—	10	1	no	—
1256	#117	—	10	1	no	—
1257	#117	C₂²×D₅	1	1	yes	characteristic
1258	C₂×C₄⋊C₄	—	5	1	no	—
1259	C₂×C₄⋊C₄	—	5	1	no	—
1260	C₂×C₄⋊C₄	—	5	1	no	—
1261	C₂×C₄⋊C₄	—	5	1	no	—
1262	C₂×C₄⋊C₄	—	5	1	no	—
1263	C₂×C₄⋊C₄	—	5	1	no	—
1264	C₂×C₄⋊C₄	—	10	1	no	—
1265	C₂×C₄⋊C₄	—	10	1	no	—
1266	C₂×C₄⋊C₄	—	10	1	no	—
1267	C₂×C₄⋊C₄	—	10	1	no	—
1268	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1269	C₂×C₂²⋊C₄	—	10	1	no	—
1270	C₂×C₂²⋊C₄	—	10	1	no	—
1271	C₂×C₂²⋊C₄	—	10	1	no	—
1272	C₂×C₂²⋊C₄	—	10	1	no	—
1273	C₂×C₂²⋊C₄	—	10	1	no	—
1274	C₂×C₄²	—	5	1	no	—
1275	C₂×C₄²	—	10	1	no	—
1276	#107	—	5	1	no	—
1277	#107	—	5	1	no	—
1278	#107	—	5	1	no	—
1279	#107	—	5	1	no	—
1280	#107	C₂²×D₅	1	1	yes	characteristic
1281	#107	C₂²×D₅	1	1	yes	characteristic
1282	#106	—	5	1	no	—
1283	#106	—	5	1	no	—
1284	#106	—	5	1	no	—
1285	#106	—	5	1	no	—
1286	#106	—	5	1	no	—
1287	#106	C₂²×D₅	1	1	yes	characteristic
1288	C₄⋊C₈	—	5	1	no	—
1289	C₄⋊C₈	—	5	1	no	—
1290	C₄⋊C₈	—	5	1	no	—
1291	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1292	#103	—	5	1	no	—
1293	#103	—	5	1	no	—
1294	#103	—	5	1	no	—
1295	#103	—	5	1	no	—
1296	#103	—	5	1	no	—
1297	#103	—	5	1	no	—
1298	#103	—	5	1	no	—
1299	#103	—	5	1	no	—
1300	#103	—	5	1	no	—
1301	#103	—	5	1	no	—
1302	#103	—	5	1	no	—
1303	#103	—	5	1	no	—
1304	#103	—	5	1	no	—
1305	#103	C₂²×D₅	1	1	yes	characteristic
1306	#102	—	5	1	no	—
1307	#102	—	5	1	no	—
1308	#102	—	5	1	no	—
1309	#102	—	5	1	no	—
1310	#102	—	5	1	no	—
1311	#102	—	5	1	no	—
1312	#102	—	5	1	no	—
1313	#102	—	5	1	no	—
1314	#102	—	5	1	no	—
1315	#102	—	5	1	no	—
1316	#102	—	5	1	no	—
1317	#102	—	5	1	no	—
1318	#102	—	5	1	no	—
1319	#102	—	5	1	no	—
1320	#102	—	5	1	no	—
1321	#102	—	5	1	no	—
1322	#102	—	5	1	no	—
1323	#102	C₂²×D₅	1	1	yes	characteristic
1324	#102	C₂²×D₅	1	1	yes	characteristic
1325	#102	C₂²×D₅	1	1	yes	characteristic
1326	#102	C₂²×D₅	1	1	yes	characteristic
1327	#102	C₂²×D₅	1	1	yes	characteristic
1328	#102	C₂²×D₅	1	1	yes	characteristic
1329	#102	C₂²×D₅	1	1	yes	characteristic
1330	#102	C₂²×D₅	1	1	yes	characteristic
1331	#102	C₂²×D₅	1	1	yes	characteristic
1332	C₂²⋊C₈	—	5	1	no	—
1333	C₂²⋊C₈	—	5	1	no	—
1334	C₂²⋊C₈	—	5	1	no	—
1335	C₂²⋊C₈	—	5	1	no	—
1336	C₂²⋊C₈	—	5	1	no	—
1337	C₂²⋊C₈	—	5	1	no	—
1338	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1339	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1340	#97	—	5	1	no	—
1341	#97	C₂²×D₅	1	1	yes	characteristic
1342	C₄×C₈	—	5	1	no	—
1343	C₄×C₈	—	5	1	no	—
1344	C₂²×C₅	—	2	1	no	—
1345	C₂²×C₅	—	2	1	no	—
1346	C₂²×C₅	—	2	1	no	—
1347	C₂²×C₅	—	2	1	no	—
1348	C₂²×C₅	—	2	2	no	—
1349	C₂²×C₅	—	2	1	no	—
1350	C₂²×C₅	—	2	1	no	—
1351	C₂²×C₅	—	4	1	no	—
1352	C₂²×C₅	—	4	1	no	—
1353	C₂²×C₅	—	4	1	no	—
1354	C₂²×C₅	—	4	1	no	—
1355	C₂²×C₅	—	4	1	no	—
1356	C₂²×C₅	—	4	1	no	—
1357	C₂²×C₅	—	4	1	no	—
1358	C₂²×C₅	—	4	1	no	—
1359	C₂²×C₅	—	16	2	no	—
1360	C₂²×C₅	—	16	2	no	—
1361	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1362	C₂×D₅	—	2	1	no	—
1363	C₂×D₅	—	2	1	no	—
1364	C₂×D₅	—	2	1	no	—
1365	C₂×D₅	—	2	1	no	—
1366	C₂×D₅	—	2	1	no	—
1367	C₂×D₅	—	2	1	no	—
1368	C₂×D₅	—	2	1	no	—
1369	C₂×D₅	—	2	1	no	—
1370	C₂×D₅	—	2	2	no	—
1371	C₂×D₅	—	4	1	no	—
1372	C₂×D₅	—	4	1	no	—
1373	C₂×D₅	—	4	1	no	—
1374	C₂×D₅	—	4	1	no	—
1375	C₂×D₅	—	4	1	no	—
1376	C₂×D₅	—	8	4	no	—
1377	C₂×D₅	—	16	2	no	—
1378	C₂×D₅	—	16	2	no	—
1379	C₂×D₅	#546	1	2	yes	—
1380	C₄×C₅	—	2	1	no	—
1381	C₄×C₅	—	2	1	no	—
1382	C₄×C₅	—	2	1	no	—
1383	C₄×C₅	—	2	1	no	—
1384	C₄×C₅	—	4	1	no	—
1385	C₄×C₅	—	4	1	no	—
1386	C₄×C₅	—	4	1	no	—
1387	C₄×C₅	—	4	1	no	—
1388	C₄×C₅	—	4	1	no	—
1389	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1390	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1391	Dic₅	—	2	1	no	—
1392	Dic₅	—	2	1	no	—
1393	Dic₅	—	2	1	no	—
1394	Dic₅	—	2	1	no	—
1395	Dic₅	—	4	1	no	—
1396	Dic₅	—	4	1	no	—
1397	Dic₅	—	4	1	no	—
1398	Dic₅	—	4	1	no	—
1399	Dic₅	—	4	1	no	—
1400	Dic₅	—	4	1	no	—
1401	Dic₅	#546	1	2	yes	—
1402	C₂⁴	—	2	1	no	—
1403	C₂⁴	—	2	1	no	—
1404	C₂⁴	—	10	1	no	—
1405	C₂⁴	—	10	1	no	—
1406	C₂⁴	—	10	1	no	—
1407	#41	—	10	2	no	—
1408	#41	—	10	2	no	—
1409	#41	—	10	2	no	—
1410	#41	—	10	2	no	—
1411	#41	—	10	2	no	—
1412	#41	—	10	2	no	—
1413	#41	—	10	2	no	—
1414	#41	—	10	2	no	—
1415	#41	—	10	2	no	—
1416	#41	—	10	2	no	—
1417	#41	—	10	2	no	—
1418	#41	—	10	2	no	—
1419	#41	—	10	2	no	—
1420	#41	—	10	2	no	—
1421	#41	—	20	1	no	—
1422	#41	—	20	1	no	—
1423	#41	—	20	1	no	—
1424	#41	—	20	1	no	—
1425	#41	—	20	4	no	—
1426	#41	—	20	4	no	—
1427	C₂×Q₈	—	5	1	no	—
1428	C₂×Q₈	—	5	1	no	—
1429	C₂×Q₈	—	5	1	no	—
1430	C₂×Q₈	—	5	1	no	—
1431	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1432	C₂×D₄	—	2	2	no	—
1433	C₂×D₄	—	2	2	no	—
1434	C₂×D₄	—	2	1	no	—
1435	C₂×D₄	—	2	1	no	—
1436	C₂×D₄	—	2	1	no	—
1437	C₂×D₄	—	2	1	no	—
1438	C₂×D₄	—	2	1	no	—
1439	C₂×D₄	—	2	1	no	—
1440	C₂×D₄	—	4	1	no	—
1441	C₂×D₄	—	4	1	no	—
1442	C₂×D₄	—	5	4	no	—
1443	C₂×D₄	—	5	1	no	—
1444	C₂×D₄	—	5	1	no	—
1445	C₂×D₄	—	5	1	no	—
1446	C₂×D₄	—	5	1	no	—
1447	C₂×D₄	—	5	1	no	—
1448	C₂×D₄	—	5	1	no	—
1449	C₂×D₄	—	5	1	no	—
1450	C₂×D₄	—	5	1	no	—
1451	C₂×D₄	—	5	1	no	—
1452	C₂×D₄	—	5	1	no	—
1453	C₂×D₄	—	5	1	no	—
1454	C₂×D₄	—	8	2	no	—
1455	C₂×D₄	—	10	1	no	—
1456	C₂×D₄	—	10	1	no	—
1457	C₂×D₄	—	10	1	no	—
1458	C₂×D₄	—	10	2	no	—
1459	C₂×D₄	—	10	1	no	—
1460	C₂×D₄	—	10	1	no	—
1461	C₂×D₄	—	10	1	no	—
1462	C₂×D₄	—	10	2	no	—
1463	C₂×D₄	—	10	2	no	—
1464	C₂×D₄	—	10	1	no	—
1465	C₂×D₄	—	10	1	no	—
1466	C₂×D₄	—	10	1	no	—
1467	C₂×D₄	—	10	1	no	—
1468	C₂×D₄	—	10	1	no	—
1469	C₂×D₄	—	10	1	no	—
1470	C₂×D₄	—	10	1	no	—
1471	C₂×D₄	—	10	1	no	—
1472	C₂×D₄	—	10	1	no	—
1473	C₂×D₄	—	10	1	no	—
1474	C₂×D₄	—	20	1	no	—
1475	C₂×D₄	—	20	1	no	—
1476	C₂×D₄	—	20	4	no	—
1477	C₂×D₄	—	20	4	no	—
1478	C₂×D₄	—	20	4	no	—
1479	C₂×D₄	—	20	4	no	—
1480	C₂×D₄	—	20	4	no	—
1481	C₂×D₄	—	20	4	no	—
1482	C₂×D₄	—	40	2	no	—
1483	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1484	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1485	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1486	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1487	C₂²×C₄	—	2	1	no	—
1488	C₂²×C₄	—	2	1	no	—
1489	C₂²×C₄	—	5	1	no	—
1490	C₂²×C₄	—	5	1	no	—
1491	C₂²×C₄	—	5	1	no	—
1492	C₂²×C₄	—	5	1	no	—
1493	C₂²×C₄	—	5	1	no	—
1494	C₂²×C₄	—	10	1	no	—
1495	C₂²×C₄	—	10	1	no	—
1496	C₂²×C₄	—	10	1	no	—
1497	C₂²×C₄	—	10	1	no	—
1498	C₂²×C₄	—	10	1	no	—
1499	C₂²×C₄	—	10	1	no	—
1500	C₂²×C₄	—	10	1	no	—
1501	C₂²×C₄	—	10	1	no	—
1502	C₂²×C₄	—	10	1	no	—
1503	C₂²×C₄	—	10	1	no	—
1504	C₂²×C₄	—	10	1	no	—
1505	C₂²×C₄	—	10	1	no	—
1506	C₂²×C₄	—	10	1	no	—
1507	C₂²×C₄	—	10	1	no	—
1508	C₂²×C₄	—	10	1	no	—
1509	C₂²×C₄	—	10	1	no	—
1510	C₂²×C₄	—	10	1	no	—
1511	C₂²×C₄	—	10	1	no	—
1512	C₂²×C₄	—	40	2	no	—
1513	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1514	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1515	Q₁₆	—	20	1	no	—
1516	Q₁₆	—	20	1	no	—
1517	SD₁₆	—	2	2	no	—
1518	SD₁₆	—	4	1	no	—
1519	SD₁₆	—	4	1	no	—
1520	SD₁₆	—	10	2	no	—
1521	SD₁₆	—	20	1	no	—
1522	SD₁₆	—	20	1	no	—
1523	D₈	—	10	2	no	—
1524	D₈	—	10	2	no	—
1525	D₈	—	20	1	no	—
1526	D₈	—	20	1	no	—
1527	M₁₆	—	4	1	no	—
1528	M₁₆	—	10	2	no	—
1529	M₁₆	—	10	2	no	—
1530	M₁₆	—	20	1	no	—
1531	M₁₆	—	20	1	no	—
1532	M₁₆	—	20	1	no	—
1533	C₂×C₈	—	4	1	no	—
1534	C₂×C₈	—	5	1	no	—
1535	C₂×C₈	—	5	1	no	—
1536	C₂×C₈	—	5	1	no	—
1537	C₂×C₈	—	5	1	no	—
1538	C₂×C₈	—	10	2	no	—
1539	C₂×C₈	—	10	2	no	—
1540	C₂×C₈	—	20	1	no	—
1541	C₂×C₈	—	20	1	no	—
1542	C₂×C₈	—	20	1	no	—
1543	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1544	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1545	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1546	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1547	C₄⋊C₄	—	2	1	no	—
1548	C₄⋊C₄	—	2	1	no	—
1549	C₄⋊C₄	—	2	1	no	—
1550	C₄⋊C₄	—	2	1	no	—
1551	C₄⋊C₄	—	2	1	no	—
1552	C₄⋊C₄	—	2	1	no	—
1553	C₄⋊C₄	—	5	1	no	—
1554	C₄⋊C₄	—	5	1	no	—
1555	C₄⋊C₄	—	5	1	no	—
1556	C₄⋊C₄	—	5	1	no	—
1557	C₄⋊C₄	—	5	1	no	—
1558	C₄⋊C₄	—	5	1	no	—
1559	C₄⋊C₄	—	5	1	no	—
1560	C₄⋊C₄	—	10	1	no	—
1561	C₄⋊C₄	—	10	1	no	—
1562	C₄⋊C₄	—	10	1	no	—
1563	C₄⋊C₄	—	10	1	no	—
1564	C₄⋊C₄	—	10	1	no	—
1565	C₄⋊C₄	—	10	1	no	—
1566	C₄⋊C₄	—	10	1	no	—
1567	C₄⋊C₄	—	10	1	no	—
1568	C₄⋊C₄	—	10	1	no	—
1569	C₄⋊C₄	—	10	1	no	—
1570	C₄⋊C₄	—	10	1	no	—
1571	C₄⋊C₄	—	10	1	no	—
1572	C₄⋊C₄	—	10	1	no	—
1573	C₄⋊C₄	—	10	1	no	—
1574	C₄⋊C₄	—	10	1	no	—
1575	C₄⋊C₄	—	10	1	no	—
1576	C₄⋊C₄	—	10	1	no	—
1577	C₄⋊C₄	—	10	1	no	—
1578	C₄⋊C₄	—	10	1	no	—
1579	C₄⋊C₄	—	10	1	no	—
1580	C₄⋊C₄	—	10	1	no	—
1581	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1582	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1583	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1584	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1585	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1586	C₂²⋊C₄	—	2	1	no	—
1587	C₂²⋊C₄	—	2	1	no	—
1588	C₂²⋊C₄	—	2	1	no	—
1589	C₂²⋊C₄	—	2	1	no	—
1590	C₂²⋊C₄	—	2	1	no	—
1591	C₂²⋊C₄	—	2	1	no	—
1592	C₂²⋊C₄	—	5	1	no	—
1593	C₂²⋊C₄	—	5	1	no	—
1594	C₂²⋊C₄	—	5	1	no	—
1595	C₂²⋊C₄	—	5	1	no	—
1596	C₂²⋊C₄	—	5	1	no	—
1597	C₂²⋊C₄	—	5	1	no	—
1598	C₂²⋊C₄	—	10	1	no	—
1599	C₂²⋊C₄	—	10	1	no	—
1600	C₂²⋊C₄	—	10	1	no	—
1601	C₂²⋊C₄	—	10	1	no	—
1602	C₂²⋊C₄	—	10	1	no	—
1603	C₂²⋊C₄	—	10	1	no	—
1604	C₂²⋊C₄	—	10	1	no	—
1605	C₂²⋊C₄	—	10	1	no	—
1606	C₂²⋊C₄	—	10	1	no	—
1607	C₂²⋊C₄	—	10	1	no	—
1608	C₂²⋊C₄	—	10	1	no	—
1609	C₂²⋊C₄	—	10	1	no	—
1610	C₂²⋊C₄	—	10	1	no	—
1611	C₂²⋊C₄	—	10	1	no	—
1612	C₂²⋊C₄	—	10	1	no	—
1613	C₂²⋊C₄	—	10	1	no	—
1614	C₂²⋊C₄	—	10	1	no	—
1615	C₂²⋊C₄	—	10	1	no	—
1616	C₂²⋊C₄	—	10	1	no	—
1617	C₂²⋊C₄	—	10	1	no	—
1618	C₂²⋊C₄	—	10	1	no	—
1619	C₂²⋊C₄	—	10	1	no	—
1620	C₂²⋊C₄	—	10	1	no	—
1621	C₂²⋊C₄	—	10	1	no	—
1622	C₂²⋊C₄	—	10	1	no	—
1623	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1624	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1625	C₄²	—	2	1	no	—
1626	C₄²	—	2	1	no	—
1627	C₄²	—	5	1	no	—
1628	C₄²	—	5	1	no	—
1629	C₄²	—	5	1	no	—
1630	C₄²	—	10	1	no	—
1631	C₄²	—	10	1	no	—
1632	C₄²	—	10	1	no	—
1633	C₄²	—	10	1	no	—
1634	C₄²	—	10	1	no	—
1635	C₄²	C₂³×D₅	1	1	yes	characteristic
1636	C₂×C₅	—	4	2	no	—
1637	C₂×C₅	—	4	1	no	—
1638	C₂×C₅	—	4	1	no	—
1639	C₂×C₅	—	8	1	no	—
1640	C₂×C₅	—	8	1	no	—
1641	C₂×C₅	C₂×#546	1	1	yes	characteristic
1642	C₂×C₅	#3584	1	1	yes	characteristic
1643	C₂×C₅	#3585	1	1	yes	characteristic
1644	D₅	—	2	2	no	—
1645	D₅	—	4	1	no	—
1646	D₅	—	4	1	no	—
1647	D₅	—	4	2	no	—
1648	D₅	—	8	1	no	—
1649	C₂³	—	2	1	no	—
1650	C₂³	—	2	1	no	—
1651	C₂³	—	2	1	no	—
1652	C₂³	—	4	2	no	—
1653	C₂³	—	4	2	no	—
1654	C₂³	—	5	1	no	—
1655	C₂³	—	5	1	no	—
1656	C₂³	—	5	1	no	—
1657	C₂³	—	8	1	no	—
1658	C₂³	—	8	1	no	—
1659	C₂³	—	8	1	no	—
1660	C₂³	—	8	1	no	—
1661	C₂³	—	10	4	no	—
1662	C₂³	—	10	1	no	—
1663	C₂³	—	10	1	no	—
1664	C₂³	—	20	2	no	—
1665	C₂³	—	20	2	no	—
1666	C₂³	—	40	1	no	—
1667	C₂³	—	40	1	no	—
1668	C₂³	—	40	1	no	—
1669	C₂³	—	40	1	no	—
1670	C₂³	—	40	1	no	—
1671	C₂³	—	40	1	no	—
1672	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1673	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1674	Q₈	—	2	1	no	—
1675	Q₈	—	2	1	no	—
1676	Q₈	—	10	2	no	—
1677	Q₈	—	10	2	no	—
1678	Q₈	—	10	1	no	—
1679	Q₈	—	10	1	no	—
1680	Q₈	—	10	1	no	—
1681	Q₈	—	10	1	no	—
1682	D₄	—	2	1	no	—
1683	D₄	—	2	1	no	—
1684	D₄	—	2	1	no	—
1685	D₄	—	2	1	no	—
1686	D₄	—	2	1	no	—
1687	D₄	—	4	1	no	—
1688	D₄	—	4	2	no	—
1689	D₄	—	4	2	no	—
1690	D₄	—	4	2	no	—
1691	D₄	—	5	2	no	—
1692	D₄	—	8	1	no	—
1693	D₄	—	8	1	no	—
1694	D₄	—	8	1	no	—
1695	D₄	—	10	2	no	—
1696	D₄	—	10	2	no	—
1697	D₄	—	10	4	no	—
1698	D₄	—	10	2	no	—
1699	D₄	—	10	2	no	—
1700	D₄	—	10	2	no	—
1701	D₄	—	10	2	no	—
1702	D₄	—	10	1	no	—
1703	D₄	—	10	1	no	—
1704	D₄	—	10	1	no	—
1705	D₄	—	20	1	no	—
1706	D₄	—	20	2	no	—
1707	D₄	—	20	1	no	—
1708	D₄	—	20	1	no	—
1709	D₄	—	20	2	no	—
1710	D₄	—	20	2	no	—
1711	D₄	—	20	2	no	—
1712	D₄	—	20	2	no	—
1713	D₄	—	20	2	no	—
1714	D₄	—	20	2	no	—
1715	D₄	—	20	2	no	—
1716	D₄	—	20	2	no	—
1717	D₄	—	40	1	no	—
1718	D₄	—	40	1	no	—
1719	D₄	—	40	1	no	—
1720	D₄	—	40	1	no	—
1721	D₄	—	40	1	no	—
1722	D₄	—	40	1	no	—
1723	D₄	D₅×#41	1	2	yes	—
1724	C₂×C₄	—	2	1	no	—
1725	C₂×C₄	—	2	1	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	1	no	—
1733	C₂×C₄	—	4	2	no	—
1734	C₂×C₄	—	5	1	no	—
1735	C₂×C₄	—	5	2	no	—
1736	C₂×C₄	—	5	2	no	—
1737	C₂×C₄	—	5	1	no	—
1738	C₂×C₄	—	5	1	no	—
1739	C₂×C₄	—	5	1	no	—
1740	C₂×C₄	—	5	1	no	—
1741	C₂×C₄	—	8	1	no	—
1742	C₂×C₄	—	10	1	no	—
1743	C₂×C₄	—	10	1	no	—
1744	C₂×C₄	—	10	1	no	—
1745	C₂×C₄	—	10	1	no	—
1746	C₂×C₄	—	10	1	no	—
1747	C₂×C₄	—	10	1	no	—
1748	C₂×C₄	—	10	1	no	—
1749	C₂×C₄	—	10	1	no	—
1750	C₂×C₄	—	10	1	no	—
1751	C₂×C₄	—	10	1	no	—
1752	C₂×C₄	—	20	1	no	—
1753	C₂×C₄	—	20	1	no	—
1754	C₂×C₄	—	20	2	no	—
1755	C₂×C₄	—	20	2	no	—
1756	C₂×C₄	—	20	2	no	—
1757	C₂×C₄	—	20	2	no	—
1758	C₂×C₄	—	20	2	no	—
1759	C₂×C₄	—	20	2	no	—
1760	C₂×C₄	—	20	2	no	—
1761	C₂×C₄	—	20	2	no	—
1762	C₂×C₄	—	40	1	no	—
1763	C₂×C₄	—	40	1	no	—
1764	C₂×C₄	—	40	1	no	—
1765	C₂×C₄	—	40	1	no	—
1766	C₂×C₄	—	40	1	no	—
1767	C₂×C₄	—	40	1	no	—
1768	C₂×C₄	—	40	1	no	—
1769	C₂×C₄	—	40	1	no	—
1770	C₂×C₄	—	40	1	no	—
1771	C₂×C₄	—	40	1	no	—
1772	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1773	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1774	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1775	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1776	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1777	C₈	—	2	1	no	—
1778	C₈	—	2	1	no	—
1779	C₈	—	2	1	no	—
1780	C₈	—	2	1	no	—
1781	C₈	—	10	1	no	—
1782	C₈	—	10	1	no	—
1783	C₈	—	10	1	no	—
1784	C₈	—	10	1	no	—
1785	C₅	#61201	1	1	yes	characteristic, complemented, Sylow
1786	C₂²	—	2	1	no	—
1787	C₂²	—	2	1	no	—
1788	C₂²	—	2	2	no	—
1789	C₂²	—	2	1	no	—
1790	C₂²	—	2	1	no	—
1791	C₂²	—	2	1	no	—
1792	C₂²	—	2	1	no	—
1793	C₂²	—	4	1	no	—
1794	C₂²	—	4	1	no	—
1795	C₂²	—	4	1	no	—
1796	C₂²	—	4	1	no	—
1797	C₂²	—	4	1	no	—
1798	C₂²	—	4	1	no	—
1799	C₂²	—	4	1	no	—
1800	C₂²	—	4	1	no	—
1801	C₂²	—	5	2	no	—
1802	C₂²	—	10	1	no	—
1803	C₂²	—	10	1	no	—
1804	C₂²	—	10	1	no	—
1805	C₂²	—	10	1	no	—
1806	C₂²	—	10	2	no	—
1807	C₂²	—	10	1	no	—
1808	C₂²	—	10	1	no	—
1809	C₂²	—	10	1	no	—
1810	C₂²	—	10	1	no	—
1811	C₂²	—	16	2	no	—
1812	C₂²	—	16	2	no	—
1813	C₂²	—	20	1	no	—
1814	C₂²	—	20	1	no	—
1815	C₂²	—	20	1	no	—
1816	C₂²	—	20	1	no	—
1817	C₂²	—	20	1	no	—
1818	C₂²	—	40	4	no	—
1819	C₂²	—	80	2	no	—
1820	C₂²	—	80	2	no	—
1821	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1822	C₄	—	2	1	no	—
1823	C₄	—	2	1	no	—
1824	C₄	—	2	1	no	—
1825	C₄	—	2	1	no	—
1826	C₄	—	4	1	no	—
1827	C₄	—	4	1	no	—
1828	C₄	—	4	1	no	—
1829	C₄	—	4	1	no	—
1830	C₄	—	4	1	no	—
1831	C₄	—	5	2	no	—
1832	C₄	—	10	1	no	—
1833	C₄	—	10	1	no	—
1834	C₄	—	10	1	no	—
1835	C₄	—	10	1	no	—
1836	C₄	—	20	1	no	—
1837	C₄	—	20	1	no	—
1838	C₄	—	20	1	no	—
1839	C₄	—	20	1	no	—
1840	C₄	—	20	1	no	—
1841	C₄	—	20	1	no	—
1842	C₄	C₂×D₅×#41	1	1	yes	characteristic
1843	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1844	C₂	—	4	1	no	—
1845	C₂	—	4	1	no	—
1846	C₂	—	4	2	no	—
1847	C₂	—	8	1	no	—
1848	C₂	—	8	1	no	—
1849	C₂	—	10	2	no	—
1850	C₂	—	20	1	no	—
1851	C₂	—	20	1	no	—
1852	C₂	—	20	2	no	—
1853	C₂	—	40	1	no	—
1854	C₂	D₅×#546	1	1	yes	characteristic
1855	C₂	#10619093	1	1	yes	characteristic
1856	C₂	#10619107	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	#61201
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. #10618734	C₂	semidirect
2. #10618522	C₂	semidirect
3. C₅×#3310	C₂	semidirect
4. #10615331	C₂	semidirect
5. #10615216	C₂	semidirect
6. #10613458	C₂	semidirect
7. #10613447	C₂	semidirect
8. #10613113	C₂	semidirect
9. #10613108	C₂	semidirect
10. #10613021	C₂	semidirect
11. #10613016	C₂	semidirect
12. #10612919	C₂	semidirect
13. D₅×#478	C₂	semidirect
14. #10612558	C₂	semidirect
15. #10612539	C₂	semidirect
16. #10612402	C₂	semidirect
17. #10612391	C₂	semidirect
18. #10612128	C₂	semidirect
19. #10612113	C₂	semidirect
20. #10611895	C₂	semidirect
21. #10611890	C₂	semidirect
22. #10611880	C₂	semidirect
23. #10611880	C₂	semidirect
24. #10611534	C₂	semidirect
25. #10611504	C₂	semidirect
26. #10611231	C₂	semidirect
27. #10611215	C₂	semidirect
28. #10610669	C₂	semidirect
29. #10610656	C₂	semidirect
30. #10610491	C₂	semidirect
31. #10610473	C₂	semidirect
34. C₅×#552	C₂²	semidirect
40. C₂×#4062	C₂²	semidirect
41. C₂×#4062	C₂²	semidirect
43. C₂×#4053	C₂²	semidirect
44. C₂×#4047	C₂²	semidirect
51. #66029	C₂²	semidirect
52. D₅×#125	C₂²	semidirect
55. #65976	C₂²	semidirect
56. #65973	C₂²	semidirect
57. #65963	C₂²	semidirect
58. #65963	C₂²	semidirect
69. #65915	C₂²	semidirect
70. C₄×#713	C₂²	semidirect
71. #65899	C₂²	semidirect
77. #65864	C₂²	semidirect
79. #65857	C₂²	semidirect
80. #65848	C₂²	semidirect
81. #65838	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. #65504	C₂²	semidirect
98. C₂×#3964	C₂²	semidirect
99. #65463	C₂²	semidirect
100. #65462	C₂²	semidirect
101. #65462	C₂²	semidirect
102. #65460	C₂²	semidirect
103. #65458	C₂²	semidirect
104. #65458	C₂²	semidirect
105. #65455	C₂²	semidirect
106. #65455	C₂²	semidirect
107. SD₁₆×Dic₅	C₂²	semidirect
108. #65423	C₂²	semidirect
109. #65422	C₂²	semidirect
110. #65417	C₂²	semidirect
111. #65403	C₂²	semidirect
112. #65402	C₂²	semidirect
113. C₈×C₂²⋊D₅	C₂²	semidirect
114. #65361	C₂²	semidirect
115. #65360	C₂²	semidirect
116. #65358	C₂²	semidirect
117. #65355	C₂²	semidirect
118. #65341	C₂²	semidirect
119. #65340	C₂²	semidirect
120. #65336	C₂²	semidirect
121. #65336	C₂²	semidirect
122. #65328	C₂²	semidirect
123. #65327	C₂²	semidirect
124. #65324	C₂²	semidirect
125. #65323	C₂²	semidirect
126. #65320	C₂²	semidirect
127. #65315	C₂²	semidirect
128. #65303	C₂²	semidirect
129. #65300	C₂²	semidirect
130. #65298	C₂²	semidirect
131. #65291	C₂²	semidirect
132. #65285	C₂²	semidirect
133. #65259	C₂²	semidirect
134. #65255	C₂²	semidirect
135. #65180	C₂²	semidirect
136. #65177	C₂²	semidirect
137. #65177	C₂²	semidirect
138. #65175	C₂²	semidirect
139. #65173	C₂²	semidirect
140. #65170	C₂²	semidirect
141. D₅×#107	C₂²	semidirect
142. #65161	C₂²	semidirect
143. #65160	C₂²	semidirect
144. #65153	C₂²	semidirect
145. #65151	C₂²	semidirect
146. D₅×#106	C₂²	semidirect
147. #65136	C₂²	semidirect
148. #65130	C₂²	semidirect
149. #65125	C₂²	semidirect
150. D₅×C₄⋊C₈	C₂²	semidirect
151. #65105	C₂²	semidirect
152. #65102	C₂²	semidirect
153. #65092	C₂²	semidirect
154. #65077	C₂²	semidirect
155. #65076	C₂²	semidirect
156. #65076	C₂²	semidirect
157. #65071	C₂²	semidirect
158. #65070	C₂²	semidirect
159. #65070	C₂²	semidirect
160. #65068	C₂²	semidirect
161. #65068	C₂²	semidirect
162. #65066	C₂²	semidirect
163. #65064	C₂²	semidirect
164. #65063	C₂²	semidirect
165. #65062	C₂²	semidirect
166. #65062	C₂²	semidirect
167. #65061	C₂²	semidirect
168. #65061	C₂²	semidirect
169. #65061	C₂²	semidirect
170. #65061	C₂²	semidirect
171. #65060	C₂²	semidirect
172. #65060	C₂²	semidirect
173. #65060	C₂²	semidirect
174. #65060	C₂²	semidirect
175. #65060	C₂²	semidirect
176. #65060	C₂²	semidirect
178. #65059	C₂²	semidirect
179. #65059	C₂²	semidirect
182. D₅×#102	C₂²	semidirect
183. D₅×#102	C₂²	semidirect
184. #65057	C₂²	semidirect
185. #65057	C₂²	semidirect
186. #65057	C₂²	semidirect
187. #65057	C₂²	semidirect
188. #65055	C₂²	semidirect
189. #65052	C₂²	semidirect
190. #65045	C₂²	semidirect
191. #65023	C₂²	semidirect
192. #65023	C₂²	semidirect
193. #65018	C₂²	semidirect
194. #65016	C₂²	semidirect
195. #65016	C₂²	semidirect
196. #65014	C₂²	semidirect
197. #65012	C₂²	semidirect
198. #65010	C₂²	semidirect
199. #65000	C₂²	semidirect
200. #64996	C₂²	semidirect
201. #64995	C₂²	semidirect
202. #64992	C₂²	semidirect
499. #3310	D₅	semidirect
771. #552	C₂×D₅	semidirect
806. #490	C₂×D₅	semidirect
822. #482	C₂×D₅	semidirect
826. #480	C₂×D₅	semidirect
834. #478	C₂×D₅	semidirect
842. #468	C₂×D₅	semidirect
850. #465	C₂×D₅	semidirect
857. #460	C₂×D₅	semidirect
865. #450	C₂×D₅	semidirect
866. #450	C₂×D₅	semidirect
878. #440	C₂×D₅	semidirect
888. #435	C₂×D₅	semidirect
899. #418	C₂×D₅	semidirect
920. C₂×#102	C₂×D₅	semidirect
1785. C₅	#61201	semidirect

Maximal subgroups

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

subgroup	index
#10618734	2
#10618522	2
C₅×#3310	2
#10615331	2
#10615216	2
#10613458	2
#10613447	2
#10613113	2
#10613108	2
#10613021	2
#10613016	2
#10612919	2
D₅×#478	2
#10612558	2
#10612539	2
#10612402	2
#10612391	2
#10612128	2
#10612113	2
#10611895	2
#10611890	2
#10611880	2
#10611534	2
#10611504	2
#10611231	2
#10611215	2
#10610669	2
#10610656	2
#10610491	2
#10610473	2
#61201	5