Subgroups — #12975781

Order 1280.

2164 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618775	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618527	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3297	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615349	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615225	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613385	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613368	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613221	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613198	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613137	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613102	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612917	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612896	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612468	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612445	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612420	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612387	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612291	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612264	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611835	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611813	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611745	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611732	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611340	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×#4058	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611180	C₂	1	1	yes	maximal, characteristic, complemented
27	C₈×D₄×D₅	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610580	C₂	1	1	yes	maximal, characteristic, complemented
29	D₅×#416	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610489	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65061	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₅×#41	C₂²	1	1	yes	characteristic
33	C₂²×#711	C₂²	1	1	yes	characteristic
34	C₅×#553	C₂²	1	1	yes	characteristic, complemented
35	C₅×#546	C₂²	1	1	yes	characteristic
36	#66158	C₂²	1	1	yes	characteristic
37	D₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
38	C₂×#4062	C₂²	1	1	yes	characteristic, complemented
39	C₂×#4058	C₂²	1	1	yes	characteristic
40	C₂×#4058	C₂²	1	1	yes	characteristic, complemented
41	C₂²×C₈×D₅	C₂²	1	1	yes	characteristic, complemented
42	C₂²×C₈×D₅	C₂²	1	1	yes	characteristic, complemented
43	#66042	—	2	1	no	—
44	#66040	—	2	1	no	—
45	#66028	C₂²	1	1	yes	characteristic, complemented
46	#66022	C₂²	1	1	yes	characteristic, complemented
47	#66011	C₂²	1	1	yes	characteristic
48	#66002	C₂²	1	1	yes	characteristic
49	#65993	—	2	1	no	—
50	#65990	—	2	1	no	—
51	#65989	—	2	1	no	—
52	#65983	—	2	1	no	—
53	#65966	C₂²	1	1	yes	characteristic
54	#65961	C₂²	1	1	yes	characteristic
55	#65950	C₂²	1	1	yes	characteristic, complemented
56	#65945	C₂²	1	1	yes	characteristic
57	#65944	—	2	1	no	—
58	#65944	—	2	1	no	—
59	#65940	C₂²	1	1	yes	characteristic
60	#65940	C₂²	1	1	yes	characteristic, complemented
61	#65940	C₂²	1	1	yes	characteristic, complemented
62	#65934	—	2	1	no	—
63	#65933	C₂²	1	1	yes	characteristic
64	#65930	—	2	1	no	—
65	#65924	—	2	1	no	—
66	#65920	—	2	1	no	—
67	#65892	C₂²	1	1	yes	characteristic, complemented
68	#65890	—	2	1	no	—
69	#65888	C₂²	1	1	yes	characteristic
70	#65886	C₂²	1	1	yes	characteristic
71	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
72	#65875	C₂²	1	1	yes	characteristic, complemented
73	C₄×#711	—	2	1	no	—
74	C₄×#711	C₂²	1	1	yes	characteristic
75	C₄×#711	C₂²	1	1	yes	characteristic, complemented
76	#65867	C₂²	1	1	yes	characteristic, complemented
77	D₅×#117	C₂²	1	1	yes	characteristic, complemented
78	#65845	C₂²	1	1	yes	characteristic
79	C₂×#4038	C₂²	1	1	yes	characteristic, complemented
80	#65824	—	2	1	no	—
81	C₂×#4027	—	2	1	no	—
82	C₅×#488	C₂²	1	1	yes	characteristic, complemented
83	C₅×#484	C₂²	1	1	yes	characteristic, complemented
84	C₅×#482	C₂²	1	1	yes	characteristic, complemented
85	C₅×#478	C₂²	1	1	yes	characteristic, complemented
86	C₅×#466	C₂²	1	1	yes	characteristic, complemented
87	C₅×#465	C₂²	1	1	yes	characteristic, complemented
88	C₅×#463	C₂²	1	1	yes	characteristic, complemented
89	C₅×#449	C₂²	1	1	yes	characteristic, complemented
90	C₅×#447	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₅×D₈	C₂²	1	1	yes	characteristic, complemented
92	C₅×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
93	C₅×#416	C₂²	1	1	yes	characteristic, complemented
94	C₂×C₅×#102	C₂²	1	1	yes	characteristic, complemented
95	#65528	C₂²	1	1	yes	characteristic, complemented
96	#65522	C₂²	1	1	yes	characteristic, complemented
97	#65507	C₂²	1	1	yes	characteristic, complemented
98	C₂×#3964	C₂²	1	1	yes	characteristic, complemented
99	#65460	C₂²	1	1	yes	characteristic, complemented
100	#65459	C₂²	1	1	yes	characteristic, complemented
101	#65451	C₂²	1	1	yes	characteristic, complemented
102	#65447	C₂²	1	1	yes	characteristic, complemented
103	#65447	C₂²	1	1	yes	characteristic, complemented
104	#65446	C₂²	1	1	yes	characteristic, complemented
105	#65445	C₂²	1	1	yes	characteristic, complemented
106	#65439	C₂²	1	1	yes	characteristic, complemented
107	D₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
108	#65405	C₂²	1	1	yes	characteristic, complemented
109	#65403	C₂²	1	1	yes	characteristic, complemented
110	#65402	C₂²	1	1	yes	characteristic, complemented
111	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
112	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
113	C₂×#3948	C₂²	1	1	yes	characteristic, complemented
114	#65357	C₂²	1	1	yes	characteristic, complemented
115	#65352	C₂²	1	1	yes	characteristic, complemented
116	#65345	C₂²	1	1	yes	characteristic, complemented
117	#65343	C₂²	1	1	yes	characteristic, complemented
118	#65340	C₂²	1	1	yes	characteristic, complemented
119	#65332	C₂²	1	1	yes	characteristic, complemented
120	#65330	C₂²	1	1	yes	characteristic, complemented
121	#65330	C₂²	1	1	yes	characteristic, complemented
122	#65329	C₂²	1	1	yes	characteristic, complemented
123	#65327	C₂²	1	1	yes	characteristic, complemented
124	#65326	C₂²	1	1	yes	characteristic, complemented
125	#65324	C₂²	1	1	yes	characteristic, complemented
126	C₄×#687	C₂²	1	1	yes	characteristic, complemented
127	C₄×#687	C₂²	1	1	yes	characteristic, complemented
128	#65305	C₂²	1	1	yes	characteristic, complemented
129	D₄×#168	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	C₂×#3942	C₂²	1	1	yes	characteristic, complemented
134	#65257	C₂²	1	1	yes	characteristic, complemented
135	#65176	C₂²	1	1	yes	characteristic, complemented
136	#65174	C₂²	1	1	yes	characteristic, complemented
137	#65174	C₂²	1	1	yes	characteristic, complemented
138	#65173	C₂²	1	1	yes	characteristic, complemented
139	#65169	C₂²	1	1	yes	characteristic, complemented
140	#65169	C₂²	1	1	yes	characteristic, complemented
141	#65164	C₂²	1	1	yes	characteristic, complemented
142	#65162	C₂²	1	1	yes	characteristic, complemented
143	#65153	C₂²	1	1	yes	characteristic, complemented
144	#65151	C₂²	1	1	yes	characteristic, complemented
145	#65149	C₂²	1	1	yes	characteristic, complemented
146	#65143	C₂²	1	1	yes	characteristic, complemented
147	#65134	C₂²	1	1	yes	characteristic, complemented
148	#65123	C₂²	1	1	yes	characteristic, complemented
149	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
150	#65118	C₂²	1	1	yes	characteristic, complemented
151	#65103	C₂²	1	1	yes	characteristic, complemented
152	#65103	C₂²	1	1	yes	characteristic, complemented
153	#65102	C₂²	1	1	yes	characteristic, complemented
154	#65097	C₂²	1	1	yes	characteristic, complemented
155	#65093	C₂²	1	1	yes	characteristic, complemented
156	#65093	C₂²	1	1	yes	characteristic, complemented
157	#65093	C₂²	1	1	yes	characteristic, complemented
158	D₅×#103	C₂²	1	1	yes	characteristic, complemented
159	D₅×#103	C₂²	1	1	yes	characteristic, complemented
160	#65082	C₂²	1	1	yes	characteristic, complemented
161	#65081	C₂²	1	1	yes	characteristic, complemented
162	#65081	C₂²	1	1	yes	characteristic, complemented
163	#65072	C₂²	1	1	yes	characteristic, complemented
164	#65072	C₂²	1	1	yes	characteristic, complemented
165	#65067	C₂²	1	1	yes	characteristic, complemented
166	#65067	C₂²	1	1	yes	characteristic, complemented
167	#65066	C₂²	1	1	yes	characteristic, complemented
168	#65065	C₂²	1	1	yes	characteristic, complemented
169	#65064	C₂²	1	1	yes	characteristic, complemented
170	#65063	C₂²	1	1	yes	characteristic, complemented
171	#65061	C₂²	1	1	yes	characteristic
172	#65061	C₂²	1	1	yes	characteristic
173	#65061	C₂²	1	1	yes	characteristic
174	#65061	C₂²	1	1	yes	characteristic, complemented
175	#65061	C₂²	1	1	yes	characteristic, complemented
176	#65061	C₂²	1	1	yes	characteristic, complemented
177	#65061	C₂²	1	1	yes	characteristic, complemented
178	#65061	C₂²	1	1	yes	characteristic, complemented
179	#65061	C₂²	1	1	yes	characteristic, complemented
180	#65061	C₂²	1	1	yes	characteristic, complemented
181	#65061	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	#65051	C₂²	1	1	yes	characteristic, complemented
185	#65050	C₂²	1	1	yes	characteristic, complemented
186	#65049	C₂²	1	1	yes	characteristic, complemented
187	#65049	C₂²	1	1	yes	characteristic, complemented
188	#65048	C₂²	1	1	yes	characteristic, complemented
189	#65047	C₂²	1	1	yes	characteristic, complemented
190	#65047	C₂²	1	1	yes	characteristic, complemented
191	#65028	C₂²	1	1	yes	characteristic, complemented
192	#65025	C₂²	1	1	yes	characteristic, complemented
193	#65022	C₂²	1	1	yes	characteristic, complemented
194	#65014	C₂²	1	1	yes	characteristic
195	#65014	C₂²	1	1	yes	characteristic, complemented
196	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
197	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
198	#65012	C₂²	1	1	yes	characteristic, complemented
199	C₄×Dic₂₀	C₂²	1	1	yes	characteristic, complemented
200	#64986	C₂²	1	1	yes	characteristic, complemented
201	C₈×D₂₀	C₂²	1	1	yes	characteristic, complemented
202	C₄×C₈×D₅	C₂²	1	1	yes	characteristic, complemented
203	#61124	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
206	C₂²×C₂²⋊D₅	—	2	1	no	—
207	C₂²×C₂²⋊D₅	—	2	1	no	—
208	C₂³×Dic₅	—	2	1	no	—
209	D₅×#41	—	2	4	no	—
210	D₅×#41	—	4	2	no	—
211	C₂×#713	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
213	C₂×#711	—	2	4	no	—
214	C₂×#711	—	2	1	no	—
215	C₂×#711	—	2	1	no	—
216	C₂×#711	—	2	1	no	—
217	C₂×#711	—	2	1	no	—
218	C₂×#711	—	4	2	no	—
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×#711	C₂³	1	1	yes	characteristic
223	C₂×#711	C₂³	1	1	yes	characteristic
224	C₂×D₄×D₅	—	2	1	no	—
225	C₂×D₄×D₅	D₄	1	1	yes	characteristic
226	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
227	C₂×#709	—	2	1	no	—
228	C₂×#709	C₂³	1	1	yes	characteristic
229	C₂²×C₄×D₅	—	2	1	no	—
230	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
231	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
232	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
233	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
234	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
235	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
236	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
237	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
238	C₅×#126	—	2	1	no	—
239	C₅×#125	C₂³	1	1	yes	characteristic
240	C₅×#124	C₂³	1	1	yes	characteristic
241	C₅×#123	—	2	1	no	—
242	C₅×#123	—	2	1	no	—
243	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
244	C₅×#121	—	2	1	no	—
245	C₅×#121	—	2	1	no	—
246	C₅×#121	C₂³	1	1	yes	characteristic
247	C₅×#121	C₂³	1	1	yes	characteristic
248	C₅×#121	C₂³	1	1	yes	characteristic
249	C₅×#120	—	2	1	no	—
250	C₄×C₅×D₄	—	2	1	no	—
251	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
252	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
253	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
254	C₅×#117	C₂³	1	1	yes	characteristic
255	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
257	#4099	—	2	1	no	—
258	#4092	C₂³	1	1	yes	characteristic
259	#4090	C₂³	1	1	yes	characteristic
260	C₂×#689	C₂³	1	1	yes	characteristic
261	#4086	—	2	1	no	—
262	#4086	C₂³	1	1	yes	characteristic
263	#4085	—	2	1	no	—
264	#4085	—	2	1	no	—
265	#4085	—	2	1	no	—
266	#4085	—	2	1	no	—
267	#4085	—	2	1	no	—
268	#4084	C₂³	1	1	yes	characteristic
269	#4084	C₂³	1	1	yes	characteristic
270	#4084	C₂³	1	1	yes	characteristic
271	#4083	—	2	1	no	—
272	#4083	—	2	1	no	—
273	#4083	—	2	1	no	—
274	#4083	—	2	1	no	—
275	#4082	—	2	1	no	—
276	#4081	—	2	1	no	—
277	#4081	—	2	1	no	—
278	#4081	—	2	1	no	—
279	D₄×Dic₅	—	2	1	no	—
280	D₄×Dic₅	—	2	1	no	—
281	D₄×Dic₅	—	2	1	no	—
282	D₄×Dic₅	D₄	1	1	yes	characteristic
283	D₄×Dic₅	C₂³	1	1	yes	characteristic
284	D₄×Dic₅	C₂³	1	1	yes	characteristic
285	C₂×#687	C₂³	1	1	yes	characteristic
286	C₂×#687	C₂³	1	1	yes	characteristic
287	C₂×#687	C₂³	1	1	yes	characteristic
288	C₂×#687	C₂³	1	1	yes	characteristic
289	C₂×#686	C₂³	1	1	yes	characteristic
290	#4076	—	2	1	no	—
291	#4076	C₂³	1	1	yes	characteristic
292	#4075	—	2	1	no	—
293	#4075	—	2	1	no	—
294	C₄×C₂²⋊D₅	—	2	1	no	—
295	C₄×C₂²⋊D₅	—	2	1	no	—
296	C₄×C₂²⋊D₅	—	2	1	no	—
297	C₄×C₂²⋊D₅	—	2	1	no	—
298	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
299	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
300	C₂×#685	—	2	1	no	—
301	C₂×#685	—	2	1	no	—
302	#4072	C₂³	1	1	yes	characteristic
303	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
304	#4070	—	2	1	no	—
305	#4070	C₂³	1	1	yes	characteristic
306	#4070	C₂³	1	1	yes	characteristic
307	#4070	C₂³	1	1	yes	characteristic
308	C₂×#683	—	2	1	no	—
309	C₂×C₄×Dic₅	—	2	1	no	—
310	C₂×C₄×Dic₅	—	2	1	no	—
311	C₂×C₄×Dic₅	—	2	1	no	—
312	C₂²×#168	C₂³	1	1	yes	characteristic
313	C₂²×#168	C₂³	1	1	yes	characteristic
314	#4062	—	4	2	no	—
315	#4058	—	2	4	no	—
316	#4058	—	4	2	no	—
317	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
318	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
319	C₂×#677	C₂³	1	1	yes	characteristic
320	C₂×C₈×D₅	—	4	2	no	—
321	C₂×C₈×D₅	—	4	2	no	—
322	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
323	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
324	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
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
330	#4044	—	2	1	no	—
331	#4043	C₂³	1	1	yes	characteristic
332	#4043	C₂³	1	1	yes	characteristic
333	#4043	C₂³	1	1	yes	characteristic
334	#4042	—	2	1	no	—
335	#4042	—	2	1	no	—
336	#4042	—	2	1	no	—
337	#4042	—	2	1	no	—
338	#4042	—	2	1	no	—
339	#4041	C₂³	1	1	yes	characteristic
340	#4040	—	2	1	no	—
341	#4040	—	2	1	no	—
342	#4039	—	2	1	no	—
343	#4039	D₄	1	1	yes	characteristic
344	#4038	—	2	1	no	—
345	#4038	—	2	1	no	—
346	#4038	—	2	1	no	—
347	#4038	C₂³	1	1	yes	characteristic
348	#4038	C₂³	1	1	yes	characteristic
349	#4038	C₂³	1	1	yes	characteristic
350	#4038	C₂³	1	1	yes	characteristic
351	#4038	C₂³	1	1	yes	characteristic
352	#4038	C₂³	1	1	yes	characteristic
353	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
354	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
355	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
356	#4036	—	2	1	no	—
357	#4035	—	2	1	no	—
358	#4035	—	2	1	no	—
359	#4034	—	2	1	no	—
360	#4034	C₂³	1	1	yes	characteristic
361	#4034	C₂³	1	1	yes	characteristic
362	#4033	—	2	1	no	—
363	#4033	—	2	1	no	—
364	#4033	C₂³	1	1	yes	characteristic
365	#4033	C₂³	1	1	yes	characteristic
366	#4032	—	2	1	no	—
367	#4031	—	2	1	no	—
368	#4031	—	2	1	no	—
369	#4031	—	2	1	no	—
370	#4031	—	2	1	no	—
371	#4030	—	2	1	no	—
372	#4030	—	2	1	no	—
373	#4030	—	2	1	no	—
374	#4030	—	2	1	no	—
375	#4030	—	2	1	no	—
376	#4029	—	2	1	no	—
377	#4029	—	2	1	no	—
378	#4029	—	2	1	no	—
379	#4029	—	2	1	no	—
380	#4028	—	2	1	no	—
381	#4028	—	2	1	no	—
382	#4027	—	2	1	no	—
383	#4027	—	2	1	no	—
384	#4027	—	2	1	no	—
385	#4027	—	2	1	no	—
386	#4027	—	2	1	no	—
387	#4027	—	2	1	no	—
388	#4027	—	2	1	no	—
389	#4027	—	2	1	no	—
390	#4027	—	2	1	no	—
391	#4027	—	2	1	no	—
392	#4027	—	2	1	no	—
393	#4027	—	2	1	no	—
394	#4027	D₄	1	1	yes	characteristic
395	#4027	D₄	1	1	yes	characteristic
396	D₅×C₂²⋊C₄	—	2	1	no	—
397	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
398	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
399	#4025	—	2	1	no	—
400	#4025	—	2	1	no	—
401	#4025	—	2	1	no	—
402	#4024	—	2	1	no	—
403	#4024	—	2	1	no	—
404	#4024	—	2	1	no	—
405	#4023	—	2	1	no	—
406	#4023	—	2	1	no	—
407	#4023	—	2	1	no	—
408	#4023	—	2	1	no	—
409	#4023	—	2	1	no	—
410	#4022	—	2	1	no	—
411	#4021	C₂³	1	1	yes	characteristic
412	C₄×D₂₀	C₂³	1	1	yes	characteristic
413	#4018	—	2	1	no	—
414	C₄²×D₅	—	2	1	no	—
415	C₄²×D₅	C₂³	1	1	yes	characteristic
416	#4016	C₂³	1	1	yes	characteristic
417	C₄×Dic₁₀	—	2	1	no	—
418	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
419	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
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×#103	C₂³	1	1	yes	characteristic
426	C₅×#103	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	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
437	#3967	C₂³	1	1	yes	characteristic
438	#3967	C₂³	1	1	yes	characteristic
439	#3967	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	#3952	C₂³	1	1	yes	characteristic
453	#3952	C₂³	1	1	yes	characteristic
454	#3952	C₂³	1	1	yes	characteristic
455	#3952	C₂³	1	1	yes	characteristic
456	#3950	C₂³	1	1	yes	characteristic
457	#3950	C₂³	1	1	yes	characteristic
458	#3949	C₂³	1	1	yes	characteristic
459	#3948	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	#3942	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	#3940	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	C₄×#168	C₂³	1	1	yes	characteristic
488	#3475	—	5	1	no	—
489	D₄×#41	—	5	1	no	—
490	#3305	—	5	1	no	—
491	#3304	—	5	1	no	—
492	#3303	—	5	1	no	—
493	#3302	—	5	1	no	—
494	#3301	—	5	1	no	—
495	#3301	—	5	1	no	—
496	#3300	—	5	1	no	—
497	#3300	—	5	1	no	—
498	#3299	—	5	1	no	—
499	#3298	—	5	1	no	—
500	#3297	—	5	1	no	—
501	#3297	D₅	1	1	yes	characteristic, complemented
502	#3296	—	5	1	no	—
503	#3296	—	5	1	no	—
504	#3295	—	5	1	no	—
505	#3294	—	5	1	no	—
506	#3131	—	5	1	no	—
507	#3091	—	5	1	no	—
508	#3091	—	5	1	no	—
509	#3076	—	5	1	no	—
510	#3050	—	5	1	no	—
511	#3050	—	5	1	no	—
512	#3035	—	5	1	no	—
513	#3002	—	5	1	no	—
514	#3002	—	5	1	no	—
515	C₄×#135	—	5	1	no	—
516	C₂×C₈×D₄	—	5	1	no	—
517	C₂×#416	—	5	1	no	—
518	C₂×#416	—	5	1	no	—
519	C₂⁴×C₅	—	2	1	no	—
520	C₂³×D₅	—	2	1	no	—
521	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
522	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
523	C₅×#41	—	2	2	no	—
524	C₅×#41	—	4	1	no	—
525	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
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	—	4	1	no	—
533	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
534	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
535	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
536	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₅	—	2	1	no	—
538	C₂²×C₄×C₅	—	2	1	no	—
539	C₂²×C₄×C₅	—	2	1	no	—
540	C₂²×C₄×C₅	—	2	1	no	—
541	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
542	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
543	C₂×C₂²⋊D₅	—	2	1	no	—
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	—	4	4	no	—
557	C₂×C₂²⋊D₅	—	4	4	no	—
558	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
559	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
560	C₂²×Dic₅	—	2	1	no	—
561	C₂²×Dic₅	—	2	1	no	—
562	C₂²×Dic₅	—	2	1	no	—
563	C₂²×Dic₅	—	2	1	no	—
564	C₂²×Dic₅	—	2	1	no	—
565	C₂²×Dic₅	—	2	1	no	—
566	C₂²×Dic₅	—	2	1	no	—
567	C₂²×Dic₅	—	2	1	no	—
568	C₂²×Dic₅	—	2	1	no	—
569	C₂²×Dic₅	—	4	4	no	—
570	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
571	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
572	#713	—	2	2	no	—
573	#713	—	2	2	no	—
574	Q₈×D₅	—	2	2	no	—
575	Q₈×D₅	—	4	1	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	—	2	2	no	—
582	#711	—	2	2	no	—
583	#711	—	4	1	no	—
584	#711	—	4	1	no	—
585	#711	—	4	4	no	—
586	#711	—	4	4	no	—
587	#711	—	4	4	no	—
588	#711	—	4	4	no	—
589	#711	#41	1	4	yes	complemented
590	D₄×D₅	—	2	4	no	—
591	D₄×D₅	—	2	2	no	—
592	D₄×D₅	—	4	1	no	—
593	D₄×D₅	—	4	4	no	—
594	#709	—	2	2	no	—
595	#709	—	4	1	no	—
596	#709	—	4	4	no	—
597	C₂×D₂₀	—	2	1	no	—
598	C₂×D₂₀	—	2	1	no	—
599	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
600	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
601	C₂×C₄×D₅	—	2	2	no	—
602	C₂×C₄×D₅	—	2	2	no	—
603	C₂×C₄×D₅	—	2	2	no	—
604	C₂×C₄×D₅	—	2	2	no	—
605	C₂×C₄×D₅	—	2	1	no	—
606	C₂×C₄×D₅	—	2	1	no	—
607	C₂×C₄×D₅	—	2	1	no	—
608	C₂×C₄×D₅	—	2	1	no	—
609	C₂×C₄×D₅	—	2	1	no	—
610	C₂×C₄×D₅	—	4	4	no	—
611	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
612	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
613	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
614	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
615	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
616	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
617	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
618	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
619	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
620	C₂×Dic₁₀	—	2	2	no	—
621	C₂×Dic₁₀	—	2	1	no	—
622	C₂×Dic₁₀	—	2	1	no	—
623	C₂×Dic₁₀	—	2	1	no	—
624	C₂×Dic₁₀	—	2	1	no	—
625	C₂×Dic₁₀	—	4	1	no	—
626	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
627	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
628	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
629	C₅×SD₁₆	—	4	1	no	—
630	C₅×D₈	—	2	2	no	—
631	C₅×D₈	—	4	1	no	—
632	C₂×C₅×C₈	—	4	1	no	—
633	C₂×C₅×C₈	—	4	1	no	—
634	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
635	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
636	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
637	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
638	C₅×C₄⋊C₄	—	2	1	no	—
639	C₅×C₄⋊C₄	—	2	1	no	—
640	C₅×C₄⋊C₄	—	2	1	no	—
641	C₅×C₄⋊C₄	—	2	1	no	—
642	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
643	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
644	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
645	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
646	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
647	C₅×C₂²⋊C₄	—	2	1	no	—
648	C₅×C₂²⋊C₄	—	2	1	no	—
649	C₅×C₂²⋊C₄	—	2	1	no	—
650	C₅×C₂²⋊C₄	—	2	1	no	—
651	C₅×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
657	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
658	C₄²×C₅	—	2	1	no	—
659	C₄²×C₅	C₂⁴	1	1	yes	characteristic
660	C₂²⋊Dic₅	—	2	1	no	—
661	C₂²⋊Dic₅	—	2	1	no	—
662	C₂²⋊Dic₅	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
670	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
671	#689	—	4	1	no	—
672	#687	—	2	2	no	—
673	#687	—	2	2	no	—
674	#687	—	4	1	no	—
675	#687	—	4	1	no	—
676	#686	—	4	1	no	—
677	#685	—	2	1	no	—
678	#685	—	2	1	no	—
679	#685	—	2	1	no	—
680	#685	—	2	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	C₂×D₄	1	1	yes	characteristic
692	#685	C₂×D₄	1	1	yes	characteristic
693	#685	C₂×D₄	1	1	yes	characteristic
694	#685	C₂×D₄	1	1	yes	characteristic
695	C₄⋊Dic₅	—	2	1	no	—
696	C₄⋊Dic₅	—	2	1	no	—
697	C₄⋊Dic₅	—	2	1	no	—
698	C₄⋊Dic₅	—	2	1	no	—
699	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
700	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
701	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
702	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
703	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
704	#683	—	2	1	no	—
705	#683	—	2	1	no	—
706	#683	—	2	1	no	—
707	#683	—	2	1	no	—
708	#683	—	2	1	no	—
709	#683	—	2	1	no	—
710	#683	—	2	1	no	—
711	#683	—	2	1	no	—
712	#683	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
721	#683	C₂×D₄	1	1	yes	characteristic
722	C₄×Dic₅	—	2	1	no	—
723	C₄×Dic₅	—	2	1	no	—
724	C₄×Dic₅	—	2	1	no	—
725	C₄×Dic₅	—	2	1	no	—
726	C₄×Dic₅	—	2	1	no	—
727	C₄×Dic₅	—	2	1	no	—
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	C₂×#168	—	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	Dic₂₀	—	2	2	no	—
743	Dic₂₀	—	4	1	no	—
744	#677	—	4	1	no	—
745	C₈×D₅	—	2	2	no	—
746	C₈×D₅	—	2	2	no	—
747	C₈×D₅	—	2	2	no	—
748	C₈×D₅	—	2	2	no	—
749	C₈×D₅	—	4	1	no	—
750	C₈×D₅	—	4	1	no	—
751	C₈×D₅	—	4	1	no	—
752	C₈×D₅	—	4	1	no	—
753	C₂²×#41	—	5	1	no	—
754	C₂²×#41	—	5	1	no	—
755	C₂×#135	—	5	1	no	—
756	C₂×#135	—	5	1	no	—
757	C₂×#135	—	5	1	no	—
758	C₂³×C₈	—	5	1	no	—
759	C₂³×C₈	—	5	1	no	—
760	#556	—	5	1	no	—
761	#555	—	5	1	no	—
762	#554	—	5	1	no	—
763	#553	—	5	1	no	—
764	#553	C₂×D₅	1	1	yes	characteristic, complemented
765	#552	—	5	1	no	—
766	#552	—	5	1	no	—
767	#552	—	10	1	no	—
768	#551	—	10	1	no	—
769	#551	—	10	1	no	—
770	#550	—	5	1	no	—
771	D₄×Q₈	—	5	1	no	—
772	#548	—	5	1	no	—
773	#548	—	5	1	no	—
774	#547	—	5	1	no	—
775	#547	—	5	1	no	—
776	#547	—	10	1	no	—
777	#546	—	5	1	no	—
778	#546	—	10	1	no	—
779	#546	—	10	1	no	—
780	#546	—	10	1	no	—
781	#546	C₂×D₅	1	1	yes	characteristic
782	D₄²	—	5	1	no	—
783	D₄²	—	10	1	no	—
784	#533	—	5	1	no	—
785	#532	—	5	1	no	—
786	#532	—	10	1	no	—
787	#529	—	10	1	no	—
788	#529	—	10	1	no	—
789	#529	—	10	1	no	—
790	#525	—	5	1	no	—
791	#525	—	5	1	no	—
792	#525	—	5	1	no	—
793	#525	—	5	1	no	—
794	#525	—	10	1	no	—
795	#525	—	10	1	no	—
796	C₄×#41	—	5	1	no	—
797	C₄×#41	—	5	1	no	—
798	C₄×#41	—	10	1	no	—
799	C₂×C₄×D₄	—	5	1	no	—
800	C₂×C₄×D₄	—	10	1	no	—
801	C₂×#117	—	5	1	no	—
802	C₂×#117	—	5	1	no	—
803	#488	—	5	1	no	—
804	#488	—	5	1	no	—
805	#488	—	5	1	no	—
806	#488	C₂×D₅	1	1	yes	characteristic, complemented
807	#487	—	5	1	no	—
808	#487	—	5	1	no	—
809	#486	—	5	1	no	—
810	#486	—	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	C₂×D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
827	#479	—	5	1	no	—
828	#479	—	5	1	no	—
829	#478	—	5	1	no	—
830	#478	C₂×D₅	1	1	yes	characteristic, complemented
831	#477	—	5	1	no	—
832	#476	—	5	1	no	—
833	#475	—	5	1	no	—
834	#474	—	5	1	no	—
835	#467	—	5	1	no	—
836	#467	—	5	1	no	—
837	#467	—	5	1	no	—
838	#467	—	5	1	no	—
839	#466	—	5	1	no	—
840	#466	—	5	1	no	—
841	#466	—	5	1	no	—
842	#466	C₂×D₅	1	1	yes	characteristic, complemented
843	#465	—	5	1	no	—
844	#465	—	5	1	no	—
845	#465	—	5	1	no	—
846	#465	—	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	C₂×D₅	1	1	yes	characteristic, complemented
855	#462	—	5	1	no	—
856	#461	—	5	1	no	—
857	#460	—	5	1	no	—
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	#451	—	5	1	no	—
864	#451	—	5	1	no	—
865	#450	—	5	1	no	—
866	#450	—	5	1	no	—
867	#449	—	5	1	no	—
868	#449	—	5	1	no	—
869	#449	—	5	1	no	—
870	#449	C₂×D₅	1	1	yes	characteristic, complemented
871	#448	—	5	1	no	—
872	#448	—	5	1	no	—
873	#447	—	5	1	no	—
874	#447	C₂×D₅	1	1	yes	characteristic, complemented
875	C₄×Q₁₆	—	5	1	no	—
876	C₄×Q₁₆	—	5	1	no	—
877	C₄×SD₁₆	—	5	1	no	—
878	C₄×SD₁₆	—	5	1	no	—
879	C₄×SD₁₆	—	5	1	no	—
880	C₄×SD₁₆	—	5	1	no	—
881	C₄×D₈	—	5	1	no	—
882	C₄×D₈	C₂×D₅	1	1	yes	characteristic, complemented
883	C₈×D₄	—	5	1	no	—
884	C₈×D₄	—	5	1	no	—
885	C₈×D₄	—	5	1	no	—
886	C₈×D₄	—	5	1	no	—
887	C₈×D₄	—	5	1	no	—
888	C₈×D₄	—	5	1	no	—
889	C₈×D₄	—	5	1	no	—
890	C₈×D₄	C₂×D₅	1	1	yes	characteristic, complemented
891	#427	—	5	1	no	—
892	#427	—	5	1	no	—
893	#427	—	5	1	no	—
894	C₂×C₄⋊C₈	—	5	1	no	—
895	#416	—	5	1	no	—
896	#416	—	5	1	no	—
897	#416	—	5	1	no	—
898	#416	—	5	1	no	—
899	#416	—	5	1	no	—
900	#416	—	5	1	no	—
901	#416	—	5	1	no	—
902	#416	—	5	1	no	—
903	#416	—	5	1	no	—
904	#416	—	5	1	no	—
905	#416	—	5	1	no	—
906	#416	—	5	1	no	—
907	#416	—	5	1	no	—
908	#416	—	5	1	no	—
909	#416	—	5	1	no	—
910	#416	—	5	1	no	—
911	#416	—	5	1	no	—
912	#416	C₂×D₅	1	1	yes	characteristic, complemented
913	C₂×#103	—	5	1	no	—
914	C₂×#103	—	5	1	no	—
915	C₂×#103	—	5	1	no	—
916	C₂×#103	—	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	C₂×C₂²⋊C₈	—	5	1	no	—
922	C₂×C₂²⋊C₈	—	5	1	no	—
923	C₂×C₄×C₈	—	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	C₂²×D₄	1	1	yes	characteristic
931	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
932	C₂²×D₅	—	2	2	no	—
933	C₂²×D₅	—	2	2	no	—
934	C₂²×D₅	—	2	2	no	—
935	C₂²×D₅	—	2	2	no	—
936	C₂²×D₅	—	2	1	no	—
937	C₂²×D₅	—	4	1	no	—
938	C₂²×D₅	—	4	1	no	—
939	C₂²×D₅	—	4	2	no	—
940	C₂²×D₅	—	4	2	no	—
941	C₂²×D₅	—	8	1	no	—
942	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
943	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
944	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
945	C₅×Q₈	—	2	1	no	—
946	C₅×Q₈	—	2	1	no	—
947	C₅×D₄	—	2	2	no	—
948	C₅×D₄	—	2	1	no	—
949	C₅×D₄	—	2	1	no	—
950	C₅×D₄	—	2	1	no	—
951	C₅×D₄	—	2	1	no	—
952	C₅×D₄	—	2	1	no	—
953	C₅×D₄	—	4	2	no	—
954	C₅×D₄	—	4	2	no	—
955	C₅×D₄	—	4	2	no	—
956	C₅×D₄	—	8	1	no	—
957	C₅×D₄	—	8	1	no	—
958	C₅×D₄	C₂×#41	1	2	yes	—
959	C₂×C₄×C₅	—	2	1	no	—
960	C₂×C₄×C₅	—	2	1	no	—
961	C₂×C₄×C₅	—	2	1	no	—
962	C₂×C₄×C₅	—	2	1	no	—
963	C₂×C₄×C₅	—	2	1	no	—
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	—	4	2	no	—
969	C₂×C₄×C₅	—	8	1	no	—
970	C₂×C₄×C₅	—	8	1	no	—
971	C₂×C₄×C₅	—	8	1	no	—
972	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
973	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
974	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
975	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
976	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
977	C₂²⋊D₅	—	2	4	no	—
978	C₂²⋊D₅	—	2	2	no	—
979	C₂²⋊D₅	—	4	2	no	—
980	C₂²⋊D₅	—	4	2	no	—
981	C₂²⋊D₅	—	4	2	no	—
982	C₂²⋊D₅	—	4	2	no	—
983	C₂²⋊D₅	—	4	2	no	—
984	C₂²⋊D₅	—	4	2	no	—
985	C₂²⋊D₅	—	4	2	no	—
986	C₂²⋊D₅	—	4	2	no	—
987	C₂²⋊D₅	—	4	2	no	—
988	C₂²⋊D₅	—	4	2	no	—
989	C₂²⋊D₅	—	8	1	no	—
990	C₂²⋊D₅	—	8	1	no	—
991	C₂²⋊D₅	#135	1	4	yes	complemented
992	C₂×Dic₅	—	2	1	no	—
993	C₂×Dic₅	—	2	2	no	—
994	C₂×Dic₅	—	2	2	no	—
995	C₂×Dic₅	—	2	4	no	—
996	C₂×Dic₅	—	2	1	no	—
997	C₂×Dic₅	—	2	1	no	—
998	C₂×Dic₅	—	2	1	no	—
999	C₂×Dic₅	—	2	1	no	—
1000	C₂×Dic₅	—	2	1	no	—
1001	C₂×Dic₅	—	2	1	no	—
1002	C₂×Dic₅	—	4	2	no	—
1003	C₂×Dic₅	—	4	2	no	—
1004	C₂×Dic₅	—	4	2	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	—	4	2	no	—
1010	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
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	D₂₀	—	2	2	no	—
1016	D₂₀	—	2	1	no	—
1017	D₂₀	—	2	1	no	—
1018	D₂₀	—	4	2	no	—
1019	D₂₀	—	8	1	no	—
1020	C₄×D₅	—	2	2	no	—
1021	C₄×D₅	—	2	2	no	—
1022	C₄×D₅	—	2	1	no	—
1023	C₄×D₅	—	2	1	no	—
1024	C₄×D₅	—	2	1	no	—
1025	C₄×D₅	—	2	1	no	—
1026	C₄×D₅	—	2	2	no	—
1027	C₄×D₅	—	2	2	no	—
1028	C₄×D₅	—	2	2	no	—
1029	C₄×D₅	—	4	1	no	—
1030	C₄×D₅	—	4	2	no	—
1031	C₄×D₅	—	4	2	no	—
1032	C₄×D₅	—	4	2	no	—
1033	C₄×D₅	—	4	2	no	—
1034	C₄×D₅	—	8	1	no	—
1035	C₄×D₅	C₂×#41	1	2	yes	—
1036	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1037	Dic₁₀	—	2	1	no	—
1038	Dic₁₀	—	2	1	no	—
1039	Dic₁₀	—	2	1	no	—
1040	Dic₁₀	—	2	1	no	—
1041	Dic₁₀	—	2	1	no	—
1042	Dic₁₀	—	4	2	no	—
1043	Dic₁₀	—	4	2	no	—
1044	Dic₁₀	—	4	2	no	—
1045	Dic₁₀	—	8	1	no	—
1046	Dic₁₀	C₂×#41	1	2	yes	—
1047	C₅×C₈	—	2	1	no	—
1048	C₅×C₈	—	2	1	no	—
1049	C₅×C₈	—	2	1	no	—
1050	C₅×C₈	—	2	1	no	—
1051	#168	—	2	1	no	—
1052	#168	—	2	1	no	—
1053	#168	—	2	1	no	—
1054	#168	—	2	1	no	—
1055	C₂×#41	—	5	1	no	—
1056	C₂×#41	—	5	1	no	—
1057	C₂×#41	—	5	1	no	—
1058	C₂×#41	—	5	1	no	—
1059	C₂×#41	—	5	1	no	—
1060	C₂×#41	—	5	1	no	—
1061	C₂×#41	—	5	1	no	—
1062	C₂×#41	—	10	1	no	—
1063	C₂×#41	—	10	1	no	—
1064	C₂×#41	—	10	1	no	—
1065	C₂×#41	—	10	1	no	—
1066	C₂×#41	—	10	1	no	—
1067	C₂×#41	—	10	4	no	—
1068	C₂×#41	—	10	4	no	—
1069	C₂×#41	—	20	2	no	—
1070	C₂×#41	—	20	2	no	—
1071	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1072	C₂²×Q₈	—	5	1	no	—
1073	C₂²×Q₈	—	5	1	no	—
1074	C₂²×D₄	—	5	1	no	—
1075	C₂²×D₄	—	5	1	no	—
1076	C₂²×D₄	—	10	1	no	—
1077	C₂²×D₄	—	10	1	no	—
1078	C₂²×D₄	—	10	1	no	—
1079	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1080	C₂³×C₄	—	5	1	no	—
1081	C₂³×C₄	—	5	1	no	—
1082	C₂³×C₄	—	10	1	no	—
1083	C₂³×C₄	—	10	1	no	—
1084	#135	—	10	4	no	—
1085	#135	—	20	2	no	—
1086	#135	—	20	2	no	—
1087	C₂×Q₁₆	—	5	1	no	—
1088	C₂×Q₁₆	—	5	1	no	—
1089	C₂×Q₁₆	—	5	1	no	—
1090	C₂×SD₁₆	—	5	1	no	—
1091	C₂×SD₁₆	—	5	1	no	—
1092	C₂×SD₁₆	—	5	1	no	—
1093	C₂×SD₁₆	—	5	1	no	—
1094	C₂×SD₁₆	—	5	1	no	—
1095	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1096	C₂×D₈	—	5	1	no	—
1097	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1098	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1099	C₂²×C₈	—	5	1	no	—
1100	C₂²×C₈	—	5	1	no	—
1101	C₂²×C₈	—	5	1	no	—
1102	C₂²×C₈	—	5	1	no	—
1103	C₂²×C₈	—	5	1	no	—
1104	C₂²×C₈	—	5	1	no	—
1105	C₂²×C₈	—	5	1	no	—
1106	C₂²×C₈	—	5	1	no	—
1107	C₂²×C₈	—	5	1	no	—
1108	C₂²×C₈	—	5	1	no	—
1109	C₂²×C₈	—	20	2	no	—
1110	C₂²×C₈	—	20	2	no	—
1111	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1112	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1113	C₄⋊Q₈	—	5	1	no	—
1114	C₄⋊Q₈	—	5	1	no	—
1115	C₄⋊Q₈	—	5	1	no	—
1116	C₄⋊Q₈	—	10	1	no	—
1117	#127	—	5	1	no	—
1118	#127	—	10	1	no	—
1119	#126	—	2	1	no	—
1120	#126	—	10	1	no	—
1121	#126	—	10	1	no	—
1122	#126	—	10	1	no	—
1123	#126	—	10	1	no	—
1124	#126	—	10	1	no	—
1125	#125	—	5	1	no	—
1126	#125	—	10	1	no	—
1127	#125	—	10	1	no	—
1128	#125	—	10	1	no	—
1129	#125	C₂²×D₅	1	1	yes	characteristic
1130	#124	—	5	1	no	—
1131	#124	—	10	1	no	—
1132	#124	—	10	1	no	—
1133	#124	—	10	1	no	—
1134	#124	—	10	1	no	—
1135	#124	—	10	1	no	—
1136	#124	C₂²×D₅	1	1	yes	characteristic
1137	#123	—	2	1	no	—
1138	#123	—	2	1	no	—
1139	#123	—	10	1	no	—
1140	#123	—	10	1	no	—
1141	#123	—	10	1	no	—
1142	#123	—	10	1	no	—
1143	#123	—	10	1	no	—
1144	#123	—	10	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	C₂²⋊Q₈	—	5	1	no	—
1152	C₂²⋊Q₈	—	5	1	no	—
1153	C₂²⋊Q₈	—	5	1	no	—
1154	C₂²⋊Q₈	—	5	1	no	—
1155	C₂²⋊Q₈	—	5	1	no	—
1156	C₂²⋊Q₈	—	5	1	no	—
1157	C₂²⋊Q₈	—	5	1	no	—
1158	C₂²⋊Q₈	—	10	1	no	—
1159	C₂²⋊Q₈	—	10	1	no	—
1160	C₂²⋊Q₈	—	10	1	no	—
1161	C₂²⋊Q₈	—	10	1	no	—
1162	C₂²⋊Q₈	—	10	1	no	—
1163	C₂²⋊Q₈	—	10	1	no	—
1164	C₂²⋊Q₈	—	10	1	no	—
1165	C₂²⋊Q₈	—	10	1	no	—
1166	C₂²⋊Q₈	—	10	1	no	—
1167	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1168	#121	—	2	1	no	—
1169	#121	—	2	1	no	—
1170	#121	—	5	1	no	—
1171	#121	—	5	1	no	—
1172	#121	—	5	1	no	—
1173	#121	—	5	1	no	—
1174	#121	—	5	1	no	—
1175	#121	—	10	1	no	—
1176	#121	—	10	1	no	—
1177	#121	—	10	1	no	—
1178	#121	—	10	1	no	—
1179	#121	—	10	1	no	—
1180	#121	—	10	1	no	—
1181	#121	—	10	1	no	—
1182	#121	—	10	1	no	—
1183	#121	—	10	1	no	—
1184	#121	—	10	1	no	—
1185	#121	—	10	1	no	—
1186	#121	C₂²×D₅	1	1	yes	characteristic
1187	#121	C₂²×D₅	1	1	yes	characteristic
1188	#121	C₂²×D₅	1	1	yes	characteristic
1189	#120	—	2	1	no	—
1190	#120	—	10	1	no	—
1191	#120	—	10	1	no	—
1192	#120	—	10	1	no	—
1193	#120	—	10	1	no	—
1194	#120	—	10	1	no	—
1195	#120	—	10	1	no	—
1196	#120	—	10	1	no	—
1197	C₄×Q₈	—	5	1	no	—
1198	C₄×Q₈	—	5	1	no	—
1199	C₄×Q₈	—	5	1	no	—
1200	C₄×Q₈	—	5	1	no	—
1201	C₄×Q₈	—	10	1	no	—
1202	C₄×Q₈	—	10	1	no	—
1203	C₄×Q₈	—	10	1	no	—
1204	C₄×D₄	—	2	1	no	—
1205	C₄×D₄	—	5	1	no	—
1206	C₄×D₄	—	5	1	no	—
1207	C₄×D₄	—	5	1	no	—
1208	C₄×D₄	—	5	1	no	—
1209	C₄×D₄	—	5	1	no	—
1210	C₄×D₄	—	5	1	no	—
1211	C₄×D₄	—	5	1	no	—
1212	C₄×D₄	—	5	1	no	—
1213	C₄×D₄	—	5	1	no	—
1214	C₄×D₄	—	10	1	no	—
1215	C₄×D₄	—	10	1	no	—
1216	C₄×D₄	—	10	1	no	—
1217	C₄×D₄	—	10	1	no	—
1218	C₄×D₄	—	10	1	no	—
1219	C₄×D₄	—	10	1	no	—
1220	C₄×D₄	—	10	1	no	—
1221	C₄×D₄	—	10	1	no	—
1222	C₄×D₄	—	10	1	no	—
1223	C₄×D₄	—	10	1	no	—
1224	C₄×D₄	—	10	1	no	—
1225	C₄×D₄	—	10	1	no	—
1226	C₄×D₄	—	10	1	no	—
1227	C₄×D₄	—	10	1	no	—
1228	C₄×D₄	—	10	1	no	—
1229	C₄×D₄	—	10	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	C₂²×D₅	1	1	yes	characteristic
1235	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1236	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1237	#117	—	5	1	no	—
1238	#117	—	5	1	no	—
1239	#117	—	5	1	no	—
1240	#117	—	5	1	no	—
1241	#117	—	5	1	no	—
1242	#117	—	5	1	no	—
1243	#117	—	5	1	no	—
1244	#117	—	10	1	no	—
1245	#117	—	10	1	no	—
1246	#117	—	10	1	no	—
1247	#117	—	10	1	no	—
1248	#117	—	10	1	no	—
1249	#117	—	10	1	no	—
1250	#117	—	10	1	no	—
1251	#117	—	10	1	no	—
1252	#117	—	10	1	no	—
1253	#117	C₂²×D₅	1	1	yes	characteristic
1254	C₂×C₄⋊C₄	—	5	1	no	—
1255	C₂×C₄⋊C₄	—	5	1	no	—
1256	C₂×C₄⋊C₄	—	5	1	no	—
1257	C₂×C₄⋊C₄	—	5	1	no	—
1258	C₂×C₄⋊C₄	—	10	1	no	—
1259	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1260	C₂×C₂²⋊C₄	—	2	1	no	—
1261	C₂×C₂²⋊C₄	—	5	1	no	—
1262	C₂×C₂²⋊C₄	—	5	1	no	—
1263	C₂×C₂²⋊C₄	—	10	1	no	—
1264	C₂×C₂²⋊C₄	—	10	1	no	—
1265	C₂×C₂²⋊C₄	—	10	1	no	—
1266	C₂×C₄²	—	5	1	no	—
1267	C₂×C₄²	—	10	1	no	—
1268	C₂×C₄²	—	10	1	no	—
1269	C₂×C₄²	—	10	1	no	—
1270	C₂×C₄²	—	10	1	no	—
1271	#107	—	5	1	no	—
1272	#107	—	5	1	no	—
1273	#107	—	5	1	no	—
1274	#107	—	5	1	no	—
1275	#107	C₂²×D₅	1	1	yes	characteristic
1276	#107	C₂²×D₅	1	1	yes	characteristic
1277	#106	—	5	1	no	—
1278	#106	—	5	1	no	—
1279	#106	—	5	1	no	—
1280	#106	—	5	1	no	—
1281	#106	—	5	1	no	—
1282	#106	C₂²×D₅	1	1	yes	characteristic
1283	C₄⋊C₈	—	5	1	no	—
1284	C₄⋊C₈	—	5	1	no	—
1285	C₄⋊C₈	—	5	1	no	—
1286	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1287	#103	—	5	1	no	—
1288	#103	—	5	1	no	—
1289	#103	—	5	1	no	—
1290	#103	—	5	1	no	—
1291	#103	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1305	#103	C₂²×D₅	1	1	yes	characteristic
1306	#103	C₂²×D₅	1	1	yes	characteristic
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	C₂²×D₅	1	1	yes	characteristic
1321	#102	C₂²×D₅	1	1	yes	characteristic
1322	#102	C₂²×D₅	1	1	yes	characteristic
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	C₂²⋊C₈	—	5	1	no	—
1328	C₂²⋊C₈	—	5	1	no	—
1329	C₂²⋊C₈	—	5	1	no	—
1330	C₂²⋊C₈	—	5	1	no	—
1331	C₂²⋊C₈	—	5	1	no	—
1332	C₂²⋊C₈	—	5	1	no	—
1333	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1334	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1335	C₄×C₈	—	5	1	no	—
1336	C₄×C₈	—	5	1	no	—
1337	C₄×C₈	—	5	1	no	—
1338	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1339	C₂²×C₅	—	2	1	no	—
1340	C₂²×C₅	—	2	1	no	—
1341	C₂²×C₅	—	2	1	no	—
1342	C₂²×C₅	—	2	2	no	—
1343	C₂²×C₅	—	2	1	no	—
1344	C₂²×C₅	—	2	1	no	—
1345	C₂²×C₅	—	4	1	no	—
1346	C₂²×C₅	—	4	1	no	—
1347	C₂²×C₅	—	4	1	no	—
1348	C₂²×C₅	—	4	1	no	—
1349	C₂²×C₅	—	4	1	no	—
1350	C₂²×C₅	—	4	1	no	—
1351	C₂²×C₅	—	4	1	no	—
1352	C₂²×C₅	—	4	1	no	—
1353	C₂²×C₅	—	8	4	no	—
1354	C₂²×C₅	C₂×#135	1	2	yes	—
1355	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1356	C₂×D₅	—	2	1	no	—
1357	C₂×D₅	—	2	1	no	—
1358	C₂×D₅	—	2	1	no	—
1359	C₂×D₅	—	2	1	no	—
1360	C₂×D₅	—	2	1	no	—
1361	C₂×D₅	—	2	1	no	—
1362	C₂×D₅	—	2	1	no	—
1363	C₂×D₅	—	4	4	no	—
1364	C₂×D₅	—	4	4	no	—
1365	C₂×D₅	—	4	1	no	—
1366	C₂×D₅	—	4	1	no	—
1367	C₂×D₅	—	4	1	no	—
1368	C₂×D₅	—	8	4	no	—
1369	C₂×D₅	#546	1	2	yes	—
1370	C₂×D₅	C₂×#135	1	2	yes	—
1371	C₄×C₅	—	2	1	no	—
1372	C₄×C₅	—	2	1	no	—
1373	C₄×C₅	—	2	1	no	—
1374	C₄×C₅	—	2	1	no	—
1375	C₄×C₅	—	4	1	no	—
1376	C₄×C₅	—	4	1	no	—
1377	C₄×C₅	—	4	1	no	—
1378	C₄×C₅	—	4	1	no	—
1379	C₄×C₅	—	4	1	no	—
1380	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1381	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1382	Dic₅	—	2	1	no	—
1383	Dic₅	—	2	2	no	—
1384	Dic₅	—	2	1	no	—
1385	Dic₅	—	2	1	no	—
1386	Dic₅	—	4	1	no	—
1387	Dic₅	—	4	1	no	—
1388	Dic₅	—	4	1	no	—
1389	Dic₅	—	4	1	no	—
1390	Dic₅	—	4	1	no	—
1391	Dic₅	—	4	1	no	—
1392	Dic₅	#546	1	2	yes	—
1393	Dic₅	C₂×#135	1	2	yes	—
1394	C₂⁴	—	2	1	no	—
1395	C₂⁴	—	5	1	no	—
1396	C₂⁴	—	5	1	no	—
1397	C₂⁴	—	10	1	no	—
1398	#41	—	2	2	no	—
1399	#41	—	4	1	no	—
1400	#41	—	5	4	no	—
1401	#41	—	10	2	no	—
1402	#41	—	10	2	no	—
1403	#41	—	10	2	no	—
1404	#41	—	10	2	no	—
1405	#41	—	10	2	no	—
1406	#41	—	10	2	no	—
1407	#41	—	10	2	no	—
1408	#41	—	10	2	no	—
1409	#41	—	10	2	no	—
1410	#41	—	10	2	no	—
1411	#41	—	20	1	no	—
1412	#41	—	20	4	no	—
1413	#41	—	20	4	no	—
1414	#41	—	20	4	no	—
1415	#41	—	20	1	no	—
1416	#41	—	20	1	no	—
1417	#41	—	20	4	no	—
1418	#41	—	20	4	no	—
1419	C₂×Q₈	—	5	1	no	—
1420	C₂×Q₈	—	5	1	no	—
1421	C₂×Q₈	—	5	1	no	—
1422	C₂×Q₈	—	10	1	no	—
1423	C₂×Q₈	—	10	1	no	—
1424	C₂×Q₈	—	10	1	no	—
1425	C₂×Q₈	—	10	2	no	—
1426	C₂×Q₈	—	10	1	no	—
1427	C₂×Q₈	—	10	2	no	—
1428	C₂×Q₈	—	20	1	no	—
1429	C₂×Q₈	—	20	1	no	—
1430	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1431	C₂×D₄	—	2	2	no	—
1432	C₂×D₄	—	2	1	no	—
1433	C₂×D₄	—	2	1	no	—
1434	C₂×D₄	—	2	1	no	—
1435	C₂×D₄	—	2	1	no	—
1436	C₂×D₄	—	2	1	no	—
1437	C₂×D₄	—	4	1	no	—
1438	C₂×D₄	—	5	1	no	—
1439	C₂×D₄	—	5	1	no	—
1440	C₂×D₄	—	5	1	no	—
1441	C₂×D₄	—	5	1	no	—
1442	C₂×D₄	—	10	1	no	—
1443	C₂×D₄	—	10	1	no	—
1444	C₂×D₄	—	10	1	no	—
1445	C₂×D₄	—	10	1	no	—
1446	C₂×D₄	—	10	1	no	—
1447	C₂×D₄	—	10	4	no	—
1448	C₂×D₄	—	10	1	no	—
1449	C₂×D₄	—	10	2	no	—
1450	C₂×D₄	—	10	1	no	—
1451	C₂×D₄	—	10	1	no	—
1452	C₂×D₄	—	10	1	no	—
1453	C₂×D₄	—	10	1	no	—
1454	C₂×D₄	—	10	1	no	—
1455	C₂×D₄	—	10	1	no	—
1456	C₂×D₄	—	10	1	no	—
1457	C₂×D₄	—	10	1	no	—
1458	C₂×D₄	—	10	1	no	—
1459	C₂×D₄	—	20	1	no	—
1460	C₂×D₄	—	20	4	no	—
1461	C₂×D₄	—	20	4	no	—
1462	C₂×D₄	—	20	4	no	—
1463	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1464	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1465	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1466	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1467	C₂²×C₄	—	2	1	no	—
1468	C₂²×C₄	—	2	1	no	—
1469	C₂²×C₄	—	2	1	no	—
1470	C₂²×C₄	—	2	1	no	—
1471	C₂²×C₄	—	5	1	no	—
1472	C₂²×C₄	—	5	1	no	—
1473	C₂²×C₄	—	5	1	no	—
1474	C₂²×C₄	—	5	1	no	—
1475	C₂²×C₄	—	5	1	no	—
1476	C₂²×C₄	—	5	1	no	—
1477	C₂²×C₄	—	5	1	no	—
1478	C₂²×C₄	—	5	1	no	—
1479	C₂²×C₄	—	5	1	no	—
1480	C₂²×C₄	—	5	1	no	—
1481	C₂²×C₄	—	5	1	no	—
1482	C₂²×C₄	—	10	2	no	—
1483	C₂²×C₄	—	10	2	no	—
1484	C₂²×C₄	—	10	2	no	—
1485	C₂²×C₄	—	10	2	no	—
1486	C₂²×C₄	—	10	1	no	—
1487	C₂²×C₄	—	10	1	no	—
1488	C₂²×C₄	—	10	1	no	—
1489	C₂²×C₄	—	10	1	no	—
1490	C₂²×C₄	—	10	1	no	—
1491	C₂²×C₄	—	10	1	no	—
1492	C₂²×C₄	—	10	1	no	—
1493	C₂²×C₄	—	10	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	—	20	4	no	—
1501	C₂²×C₄	—	20	4	no	—
1502	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1503	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1504	Q₁₆	—	10	2	no	—
1505	Q₁₆	—	20	1	no	—
1506	Q₁₆	—	20	1	no	—
1507	SD₁₆	—	4	1	no	—
1508	SD₁₆	—	10	2	no	—
1509	SD₁₆	—	10	2	no	—
1510	SD₁₆	—	20	1	no	—
1511	SD₁₆	—	20	1	no	—
1512	SD₁₆	—	20	1	no	—
1513	D₈	—	2	2	no	—
1514	D₈	—	4	1	no	—
1515	D₈	—	20	1	no	—
1516	C₂×C₈	—	4	1	no	—
1517	C₂×C₈	—	4	1	no	—
1518	C₂×C₈	—	5	1	no	—
1519	C₂×C₈	—	5	1	no	—
1520	C₂×C₈	—	5	1	no	—
1521	C₂×C₈	—	5	1	no	—
1522	C₂×C₈	—	10	2	no	—
1523	C₂×C₈	—	10	2	no	—
1524	C₂×C₈	—	10	2	no	—
1525	C₂×C₈	—	10	2	no	—
1526	C₂×C₈	—	20	1	no	—
1527	C₂×C₈	—	20	1	no	—
1528	C₂×C₈	—	20	1	no	—
1529	C₂×C₈	—	20	1	no	—
1530	C₂×C₈	—	20	1	no	—
1531	C₂×C₈	—	20	1	no	—
1532	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1533	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1534	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1535	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1536	C₄⋊C₄	—	2	1	no	—
1537	C₄⋊C₄	—	2	1	no	—
1538	C₄⋊C₄	—	2	1	no	—
1539	C₄⋊C₄	—	2	1	no	—
1540	C₄⋊C₄	—	5	1	no	—
1541	C₄⋊C₄	—	5	1	no	—
1542	C₄⋊C₄	—	5	1	no	—
1543	C₄⋊C₄	—	5	1	no	—
1544	C₄⋊C₄	—	5	1	no	—
1545	C₄⋊C₄	—	5	1	no	—
1546	C₄⋊C₄	—	5	1	no	—
1547	C₄⋊C₄	—	10	1	no	—
1548	C₄⋊C₄	—	10	1	no	—
1549	C₄⋊C₄	—	10	1	no	—
1550	C₄⋊C₄	—	10	1	no	—
1551	C₄⋊C₄	—	10	1	no	—
1552	C₄⋊C₄	—	10	1	no	—
1553	C₄⋊C₄	—	10	1	no	—
1554	C₄⋊C₄	—	10	1	no	—
1555	C₄⋊C₄	—	10	1	no	—
1556	C₄⋊C₄	—	10	1	no	—
1557	C₄⋊C₄	—	10	1	no	—
1558	C₄⋊C₄	—	10	1	no	—
1559	C₄⋊C₄	—	10	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	D₄×D₅	1	1	yes	characteristic
1568	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1569	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1570	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1571	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1572	C₂²⋊C₄	—	2	1	no	—
1573	C₂²⋊C₄	—	2	1	no	—
1574	C₂²⋊C₄	—	2	1	no	—
1575	C₂²⋊C₄	—	2	1	no	—
1576	C₂²⋊C₄	—	2	1	no	—
1577	C₂²⋊C₄	—	2	1	no	—
1578	C₂²⋊C₄	—	2	1	no	—
1579	C₂²⋊C₄	—	2	1	no	—
1580	C₂²⋊C₄	—	2	1	no	—
1581	C₂²⋊C₄	—	5	1	no	—
1582	C₂²⋊C₄	—	5	1	no	—
1583	C₂²⋊C₄	—	5	1	no	—
1584	C₂²⋊C₄	—	5	1	no	—
1585	C₂²⋊C₄	—	5	1	no	—
1586	C₂²⋊C₄	—	5	1	no	—
1587	C₂²⋊C₄	—	10	1	no	—
1588	C₂²⋊C₄	—	10	1	no	—
1589	C₂²⋊C₄	—	10	1	no	—
1590	C₂²⋊C₄	—	10	1	no	—
1591	C₂²⋊C₄	—	10	1	no	—
1592	C₂²⋊C₄	—	10	1	no	—
1593	C₂²⋊C₄	—	10	1	no	—
1594	C₂²⋊C₄	—	10	1	no	—
1595	C₂²⋊C₄	—	10	1	no	—
1596	C₂²⋊C₄	—	10	1	no	—
1597	C₂²⋊C₄	—	10	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	D₄×D₅	1	1	yes	characteristic
1611	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1612	C₄²	—	2	1	no	—
1613	C₄²	—	5	1	no	—
1614	C₄²	—	5	1	no	—
1615	C₄²	—	5	1	no	—
1616	C₄²	—	10	1	no	—
1617	C₄²	—	10	1	no	—
1618	C₄²	—	10	1	no	—
1619	C₄²	—	10	1	no	—
1620	C₄²	—	10	1	no	—
1621	C₄²	—	10	1	no	—
1622	C₄²	—	10	1	no	—
1623	C₄²	—	10	1	no	—
1624	C₄²	—	10	1	no	—
1625	C₄²	—	10	1	no	—
1626	C₄²	—	10	1	no	—
1627	C₄²	C₂³×D₅	1	1	yes	characteristic
1628	C₂×C₅	—	2	2	no	—
1629	C₂×C₅	—	4	1	no	—
1630	C₂×C₅	—	4	2	no	—
1631	C₂×C₅	—	8	1	no	—
1632	C₂×C₅	—	8	1	no	—
1633	C₂×C₅	C₂×#546	1	1	yes	characteristic
1634	C₂×C₅	C₂²×#135	1	1	yes	characteristic
1635	C₂×C₅	#3584	1	1	yes	characteristic
1636	D₅	—	2	2	no	—
1637	D₅	—	2	2	no	—
1638	D₅	—	4	1	no	—
1639	D₅	—	8	1	no	—
1640	C₂³	—	2	1	no	—
1641	C₂³	—	2	1	no	—
1642	C₂³	—	2	1	no	—
1643	C₂³	—	4	2	no	—
1644	C₂³	—	4	2	no	—
1645	C₂³	—	5	1	no	—
1646	C₂³	—	5	1	no	—
1647	C₂³	—	5	1	no	—
1648	C₂³	—	8	1	no	—
1649	C₂³	—	10	2	no	—
1650	C₂³	—	10	2	no	—
1651	C₂³	—	10	2	no	—
1652	C₂³	—	10	2	no	—
1653	C₂³	—	10	1	no	—
1654	C₂³	—	20	1	no	—
1655	C₂³	—	20	1	no	—
1656	C₂³	—	20	2	no	—
1657	C₂³	—	20	2	no	—
1658	C₂³	—	40	1	no	—
1659	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1660	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1661	Q₈	—	2	1	no	—
1662	Q₈	—	2	1	no	—
1663	Q₈	—	5	2	no	—
1664	Q₈	—	10	1	no	—
1665	Q₈	—	10	1	no	—
1666	Q₈	—	10	1	no	—
1667	Q₈	—	10	1	no	—
1668	Q₈	—	10	1	no	—
1669	Q₈	—	20	2	no	—
1670	Q₈	—	20	2	no	—
1671	Q₈	—	20	2	no	—
1672	Q₈	—	40	1	no	—
1673	D₄	—	2	2	no	—
1674	D₄	—	2	1	no	—
1675	D₄	—	2	1	no	—
1676	D₄	—	2	1	no	—
1677	D₄	—	2	1	no	—
1678	D₄	—	2	1	no	—
1679	D₄	—	4	2	no	—
1680	D₄	—	4	2	no	—
1681	D₄	—	4	2	no	—
1682	D₄	—	5	4	no	—
1683	D₄	—	8	1	no	—
1684	D₄	—	8	1	no	—
1685	D₄	—	10	2	no	—
1686	D₄	—	10	2	no	—
1687	D₄	—	10	4	no	—
1688	D₄	—	10	1	no	—
1689	D₄	—	10	1	no	—
1690	D₄	—	20	2	no	—
1691	D₄	—	20	2	no	—
1692	D₄	—	20	2	no	—
1693	D₄	—	20	2	no	—
1694	D₄	—	20	2	no	—
1695	D₄	—	20	2	no	—
1696	D₄	—	20	2	no	—
1697	D₄	—	20	2	no	—
1698	D₄	—	20	2	no	—
1699	D₄	—	20	2	no	—
1700	D₄	—	20	2	no	—
1701	D₄	—	40	1	no	—
1702	D₄	—	40	1	no	—
1703	D₄	—	40	1	no	—
1704	D₄	D₅×#41	1	2	yes	—
1705	C₂×C₄	—	2	1	no	—
1706	C₂×C₄	—	2	1	no	—
1707	C₂×C₄	—	2	1	no	—
1708	C₂×C₄	—	2	1	no	—
1709	C₂×C₄	—	2	1	no	—
1710	C₂×C₄	—	2	1	no	—
1711	C₂×C₄	—	2	1	no	—
1712	C₂×C₄	—	2	1	no	—
1713	C₂×C₄	—	2	1	no	—
1714	C₂×C₄	—	4	2	no	—
1715	C₂×C₄	—	5	1	no	—
1716	C₂×C₄	—	5	1	no	—
1717	C₂×C₄	—	5	2	no	—
1718	C₂×C₄	—	5	2	no	—
1719	C₂×C₄	—	5	1	no	—
1720	C₂×C₄	—	5	1	no	—
1721	C₂×C₄	—	5	1	no	—
1722	C₂×C₄	—	8	1	no	—
1723	C₂×C₄	—	8	1	no	—
1724	C₂×C₄	—	8	1	no	—
1725	C₂×C₄	—	10	2	no	—
1726	C₂×C₄	—	10	2	no	—
1727	C₂×C₄	—	10	2	no	—
1728	C₂×C₄	—	10	2	no	—
1729	C₂×C₄	—	10	2	no	—
1730	C₂×C₄	—	10	2	no	—
1731	C₂×C₄	—	10	2	no	—
1732	C₂×C₄	—	10	4	no	—
1733	C₂×C₄	—	10	1	no	—
1734	C₂×C₄	—	10	1	no	—
1735	C₂×C₄	—	10	1	no	—
1736	C₂×C₄	—	10	1	no	—
1737	C₂×C₄	—	10	1	no	—
1738	C₂×C₄	—	10	1	no	—
1739	C₂×C₄	—	10	1	no	—
1740	C₂×C₄	—	10	1	no	—
1741	C₂×C₄	—	10	1	no	—
1742	C₂×C₄	—	10	1	no	—
1743	C₂×C₄	—	10	1	no	—
1744	C₂×C₄	—	20	1	no	—
1745	C₂×C₄	—	20	2	no	—
1746	C₂×C₄	—	20	2	no	—
1747	C₂×C₄	—	20	2	no	—
1748	C₂×C₄	—	20	2	no	—
1749	C₂×C₄	—	20	2	no	—
1750	C₂×C₄	—	20	2	no	—
1751	C₂×C₄	—	20	2	no	—
1752	C₂×C₄	—	20	2	no	—
1753	C₂×C₄	—	20	2	no	—
1754	C₂×C₄	—	20	2	no	—
1755	C₂×C₄	—	20	2	no	—
1756	C₂×C₄	—	20	2	no	—
1757	C₂×C₄	—	40	1	no	—
1758	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1759	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1760	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1761	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1762	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1763	C₈	—	2	1	no	—
1764	C₈	—	2	1	no	—
1765	C₈	—	2	1	no	—
1766	C₈	—	2	1	no	—
1767	C₈	—	10	1	no	—
1768	C₈	—	10	1	no	—
1769	C₈	—	10	1	no	—
1770	C₈	—	10	1	no	—
1771	C₅	#61124	1	1	yes	characteristic, complemented, Sylow
1772	C₂²	—	2	1	no	—
1773	C₂²	—	2	1	no	—
1774	C₂²	—	2	1	no	—
1775	C₂²	—	2	2	no	—
1776	C₂²	—	2	1	no	—
1777	C₂²	—	2	1	no	—
1778	C₂²	—	4	1	no	—
1779	C₂²	—	4	1	no	—
1780	C₂²	—	4	1	no	—
1781	C₂²	—	4	1	no	—
1782	C₂²	—	4	1	no	—
1783	C₂²	—	4	1	no	—
1784	C₂²	—	4	1	no	—
1785	C₂²	—	4	1	no	—
1786	C₂²	—	5	2	no	—
1787	C₂²	—	5	2	no	—
1788	C₂²	—	8	4	no	—
1789	C₂²	—	10	1	no	—
1790	C₂²	—	10	1	no	—
1791	C₂²	—	10	1	no	—
1792	C₂²	—	10	1	no	—
1793	C₂²	—	10	1	no	—
1794	C₂²	—	10	1	no	—
1795	C₂²	—	10	1	no	—
1796	C₂²	—	20	4	no	—
1797	C₂²	—	20	4	no	—
1798	C₂²	—	20	1	no	—
1799	C₂²	—	20	1	no	—
1800	C₂²	—	20	1	no	—
1801	C₂²	—	40	4	no	—
1802	C₂²	D₅×#135	1	2	yes	—
1803	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1804	C₄	—	2	1	no	—
1805	C₄	—	2	1	no	—
1806	C₄	—	2	1	no	—
1807	C₄	—	2	1	no	—
1808	C₄	—	4	1	no	—
1809	C₄	—	4	1	no	—
1810	C₄	—	4	1	no	—
1811	C₄	—	4	1	no	—
1812	C₄	—	4	1	no	—
1813	C₄	—	5	2	no	—
1814	C₄	—	5	2	no	—
1815	C₄	—	10	1	no	—
1816	C₄	—	10	1	no	—
1817	C₄	—	10	2	no	—
1818	C₄	—	10	1	no	—
1819	C₄	—	20	1	no	—
1820	C₄	—	20	1	no	—
1821	C₄	—	20	1	no	—
1822	C₄	—	20	1	no	—
1823	C₄	—	20	1	no	—
1824	C₄	—	20	1	no	—
1825	C₄	C₂×D₅×#41	1	1	yes	characteristic
1826	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1827	C₂	—	2	2	no	—
1828	C₂	—	4	1	no	—
1829	C₂	—	4	2	no	—
1830	C₂	—	8	1	no	—
1831	C₂	—	8	1	no	—
1832	C₂	—	10	2	no	—
1833	C₂	—	10	2	no	—
1834	C₂	—	20	1	no	—
1835	C₂	—	40	1	no	—
1836	C₂	D₅×#546	1	1	yes	characteristic
1837	C₂	C₂×D₅×#135	1	1	yes	characteristic
1838	C₂	#10619104	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×#3297	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3297	D₅
hypocenter	C₅	#61124
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3297

Complements

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

N	H ≅ G/N	type
1. #10618775	C₂	semidirect
2. #10618527	C₂	semidirect
3. C₅×#3297	C₂	semidirect
4. #10615349	C₂	semidirect
5. #10615225	C₂	semidirect
6. #10613385	C₂	semidirect
7. #10613368	C₂	semidirect
8. #10613221	C₂	semidirect
9. #10613198	C₂	semidirect
10. #10613137	C₂	semidirect
11. #10613102	C₂	semidirect
12. #10612917	C₂	semidirect
13. #10612896	C₂	semidirect
14. #10612468	C₂	semidirect
15. #10612445	C₂	semidirect
16. #10612420	C₂	semidirect
17. #10612387	C₂	semidirect
18. #10612291	C₂	semidirect
19. #10612264	C₂	semidirect
20. #10611835	C₂	semidirect
21. #10611813	C₂	semidirect
22. #10611745	C₂	semidirect
23. #10611732	C₂	semidirect
24. #10611340	C₂	semidirect
25. C₄×#4058	C₂	semidirect
26. #10611180	C₂	semidirect
27. C₈×D₄×D₅	C₂	semidirect
28. #10610580	C₂	semidirect
29. D₅×#416	C₂	semidirect
30. #10610489	C₂	semidirect
31. C₂×#65061	C₂	semidirect
34. C₅×#553	C₂²	semidirect
38. C₂×#4062	C₂²	semidirect
40. C₂×#4058	C₂²	semidirect
41. C₂²×C₈×D₅	C₂²	semidirect
42. C₂²×C₈×D₅	C₂²	semidirect
45. #66028	C₂²	semidirect
46. #66022	C₂²	semidirect
55. #65950	C₂²	semidirect
60. #65940	C₂²	semidirect
61. #65940	C₂²	semidirect
67. #65892	C₂²	semidirect
72. #65875	C₂²	semidirect
75. C₄×#711	C₂²	semidirect
76. #65867	C₂²	semidirect
77. D₅×#117	C₂²	semidirect
79. C₂×#4038	C₂²	semidirect
82. C₅×#488	C₂²	semidirect
83. C₅×#484	C₂²	semidirect
84. C₅×#482	C₂²	semidirect
85. C₅×#478	C₂²	semidirect
86. C₅×#466	C₂²	semidirect
87. C₅×#465	C₂²	semidirect
88. C₅×#463	C₂²	semidirect
89. C₅×#449	C₂²	semidirect
90. C₅×#447	C₂²	semidirect
91. C₄×C₅×D₈	C₂²	semidirect
92. C₅×C₈×D₄	C₂²	semidirect
93. C₅×#416	C₂²	semidirect
94. C₂×C₅×#102	C₂²	semidirect
95. #65528	C₂²	semidirect
96. #65522	C₂²	semidirect
97. #65507	C₂²	semidirect
98. C₂×#3964	C₂²	semidirect
99. #65460	C₂²	semidirect
100. #65459	C₂²	semidirect
101. #65451	C₂²	semidirect
102. #65447	C₂²	semidirect
103. #65447	C₂²	semidirect
104. #65446	C₂²	semidirect
105. #65445	C₂²	semidirect
106. #65439	C₂²	semidirect
107. D₈×Dic₅	C₂²	semidirect
108. #65405	C₂²	semidirect
109. #65403	C₂²	semidirect
110. #65402	C₂²	semidirect
112. C₈×C₂²⋊D₅	C₂²	semidirect
113. C₂×#3948	C₂²	semidirect
114. #65357	C₂²	semidirect
115. #65352	C₂²	semidirect
116. #65345	C₂²	semidirect
117. #65343	C₂²	semidirect
118. #65340	C₂²	semidirect
119. #65332	C₂²	semidirect
120. #65330	C₂²	semidirect
121. #65330	C₂²	semidirect
122. #65329	C₂²	semidirect
123. #65327	C₂²	semidirect
124. #65326	C₂²	semidirect
125. #65324	C₂²	semidirect
126. C₄×#687	C₂²	semidirect
127. C₄×#687	C₂²	semidirect
128. #65305	C₂²	semidirect
129. D₄×#168	C₂²	semidirect
130. #65298	C₂²	semidirect
131. #65291	C₂²	semidirect
132. #65285	C₂²	semidirect
133. C₂×#3942	C₂²	semidirect
134. #65257	C₂²	semidirect
135. #65176	C₂²	semidirect
136. #65174	C₂²	semidirect
137. #65174	C₂²	semidirect
138. #65173	C₂²	semidirect
139. #65169	C₂²	semidirect
140. #65169	C₂²	semidirect
141. #65164	C₂²	semidirect
142. #65162	C₂²	semidirect
143. #65153	C₂²	semidirect
144. #65151	C₂²	semidirect
145. #65149	C₂²	semidirect
146. #65143	C₂²	semidirect
147. #65134	C₂²	semidirect
148. #65123	C₂²	semidirect
149. D₅×C₄⋊C₈	C₂²	semidirect
150. #65118	C₂²	semidirect
151. #65103	C₂²	semidirect
152. #65103	C₂²	semidirect
153. #65102	C₂²	semidirect
154. #65097	C₂²	semidirect
155. #65093	C₂²	semidirect
156. #65093	C₂²	semidirect
157. #65093	C₂²	semidirect
158. D₅×#103	C₂²	semidirect
159. D₅×#103	C₂²	semidirect
160. #65082	C₂²	semidirect
161. #65081	C₂²	semidirect
162. #65081	C₂²	semidirect
163. #65072	C₂²	semidirect
164. #65072	C₂²	semidirect
165. #65067	C₂²	semidirect
166. #65067	C₂²	semidirect
167. #65066	C₂²	semidirect
168. #65065	C₂²	semidirect
169. #65064	C₂²	semidirect
170. #65063	C₂²	semidirect
174. #65061	C₂²	semidirect
175. #65061	C₂²	semidirect
176. #65061	C₂²	semidirect
177. #65061	C₂²	semidirect
178. #65061	C₂²	semidirect
179. #65061	C₂²	semidirect
180. #65061	C₂²	semidirect
181. #65061	C₂²	semidirect
182. D₅×#102	C₂²	semidirect
183. D₅×#102	C₂²	semidirect
184. #65051	C₂²	semidirect
185. #65050	C₂²	semidirect
186. #65049	C₂²	semidirect
187. #65049	C₂²	semidirect
188. #65048	C₂²	semidirect
189. #65047	C₂²	semidirect
190. #65047	C₂²	semidirect
191. #65028	C₂²	semidirect
192. #65025	C₂²	semidirect
193. #65022	C₂²	semidirect
195. #65014	C₂²	semidirect
196. D₅×C₂²⋊C₈	C₂²	semidirect
197. D₅×C₂²⋊C₈	C₂²	semidirect
198. #65012	C₂²	semidirect
199. C₄×Dic₂₀	C₂²	semidirect
200. #64986	C₂²	semidirect
201. C₈×D₂₀	C₂²	semidirect
202. C₄×C₈×D₅	C₂²	semidirect
501. #3297	D₅	semidirect
589. #711	#41	semidirect
764. #553	C₂×D₅	semidirect
806. #488	C₂×D₅	semidirect
816. #484	C₂×D₅	semidirect
822. #482	C₂×D₅	semidirect
830. #478	C₂×D₅	semidirect
842. #466	C₂×D₅	semidirect
850. #465	C₂×D₅	semidirect
854. #463	C₂×D₅	semidirect
870. #449	C₂×D₅	semidirect
874. #447	C₂×D₅	semidirect
882. C₄×D₈	C₂×D₅	semidirect
890. C₈×D₄	C₂×D₅	semidirect
912. #416	C₂×D₅	semidirect
920. C₂×#102	C₂×D₅	semidirect
991. C₂²⋊D₅	#135	semidirect
1771. C₅	#61124	semidirect

Maximal subgroups

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

subgroup	index
#10618775	2
#10618527	2
C₅×#3297	2
#10615349	2
#10615225	2
#10613385	2
#10613368	2
#10613221	2
#10613198	2
#10613137	2
#10613102	2
#10612917	2
#10612896	2
#10612468	2
#10612445	2
#10612420	2
#10612387	2
#10612291	2
#10612264	2
#10611835	2
#10611813	2
#10611745	2
#10611732	2
#10611340	2
C₄×#4058	2
#10611180	2
C₈×D₄×D₅	2
#10610580	2
D₅×#416	2
#10610489	2
C₂×#65061	2
#61124	5