Subgroups — #12967768

Order 1280.

2218 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618424	C₂	1	1	yes	maximal, characteristic, complemented
2	D₅×#518	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3118	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615191	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614272	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613247	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613229	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613103	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613085	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612791	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612779	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612696	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612683	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612265	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612265	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612240	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612239	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611877	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611868	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611733	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611724	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611605	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611596	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611518	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611504	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611390	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#4060	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611327	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×#4057	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611114	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611102	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
33	C₅×#542	C₂²	1	1	yes	characteristic, complemented
34	C₅×#518	C₂²	1	1	yes	characteristic
35	#66132	C₂²	1	1	yes	characteristic
36	C₂×#4060	C₂²	1	1	yes	characteristic
37	C₂×#4060	C₂²	1	1	yes	characteristic
38	C₂×#4057	C₂²	1	1	yes	characteristic
39	C₂×#4057	C₂²	1	1	yes	characteristic
40	#66067	C₂²	1	1	yes	characteristic, complemented
41	#66062	C₂²	1	1	yes	characteristic, complemented
42	#66041	—	2	1	no	—
43	#66040	—	2	1	no	—
44	#66016	C₂²	1	1	yes	characteristic, complemented
45	#66014	—	2	1	no	—
46	#66012	—	2	1	no	—
47	#66002	C₂²	1	1	yes	characteristic, complemented
48	#65991	—	2	1	no	—
49	#65983	—	2	1	no	—
50	#65972	—	2	1	no	—
51	#65961	C₂²	1	1	yes	characteristic
52	#65959	C₂²	1	1	yes	characteristic, complemented
53	#65958	—	2	1	no	—
54	#65953	C₂²	1	1	yes	characteristic, complemented
55	#65940	C₂²	1	1	yes	characteristic
56	#65917	C₂²	1	1	yes	characteristic, complemented
57	C₄×#713	C₂²	1	1	yes	characteristic, complemented
58	#65896	C₂²	1	1	yes	characteristic, complemented
59	#65879	—	2	1	no	—
60	#65879	—	2	1	no	—
61	#65879	C₂²	1	1	yes	characteristic
62	#65879	C₂²	1	1	yes	characteristic
63	#65879	C₂²	1	1	yes	characteristic
64	#65879	C₂²	1	1	yes	characteristic
65	C₄×D₄×D₅	—	2	1	no	—
66	C₄×D₄×D₅	—	2	1	no	—
67	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
68	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
69	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
70	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
71	C₄×#711	C₂²	1	1	yes	characteristic, complemented
72	#65868	C₂²	1	1	yes	characteristic, complemented
73	#65855	C₂²	1	1	yes	characteristic
74	#65855	C₂²	1	1	yes	characteristic
75	D₅×#117	C₂²	1	1	yes	characteristic
76	D₅×#117	C₂²	1	1	yes	characteristic
77	#65820	—	2	1	no	—
78	#65820	—	2	1	no	—
79	C₂×D₅×C₂²⋊C₄	—	2	1	no	—
80	C₂×D₅×C₂²⋊C₄	—	2	1	no	—
81	C₅×#485	C₂²	1	1	yes	characteristic, complemented
82	C₅×#482	C₂²	1	1	yes	characteristic, complemented
83	C₅×#476	C₂²	1	1	yes	characteristic, complemented
84	C₅×#474	C₂²	1	1	yes	characteristic, complemented
85	C₅×#463	C₂²	1	1	yes	characteristic, complemented
86	C₅×#463	C₂²	1	1	yes	characteristic, complemented
87	C₅×#450	C₂²	1	1	yes	characteristic
88	C₅×#447	C₂²	1	1	yes	characteristic
89	C₅×#442	C₂²	1	1	yes	characteristic, complemented
90	C₅×#440	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₅×D₈	C₂²	1	1	yes	characteristic, complemented
93	C₅×#433	C₂²	1	1	yes	characteristic, complemented
94	#65507	C₂²	1	1	yes	characteristic
95	#65506	C₂²	1	1	yes	characteristic
96	#65458	C₂²	1	1	yes	characteristic
97	#65458	C₂²	1	1	yes	characteristic
98	#65453	C₂²	1	1	yes	characteristic, complemented
99	#65451	C₂²	1	1	yes	characteristic, complemented
100	#65451	C₂²	1	1	yes	characteristic, complemented
101	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
102	#65445	C₂²	1	1	yes	characteristic
103	#65445	C₂²	1	1	yes	characteristic
104	#65441	C₂²	1	1	yes	characteristic, complemented
105	#65439	C₂²	1	1	yes	characteristic, complemented
106	#65439	C₂²	1	1	yes	characteristic, complemented
107	D₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
108	#65376	C₂²	1	1	yes	characteristic, complemented
109	#65373	C₂²	1	1	yes	characteristic, complemented
110	#65346	C₂²	1	1	yes	characteristic, complemented
111	#65346	C₂²	1	1	yes	characteristic, complemented
112	#65335	C₂²	1	1	yes	characteristic
113	#65334	C₂²	1	1	yes	characteristic, complemented
114	#65325	C₂²	1	1	yes	characteristic
115	#65324	C₂²	1	1	yes	characteristic, complemented
116	#65315	C₂²	1	1	yes	characteristic, complemented
117	C₄×#688	C₂²	1	1	yes	characteristic, complemented
118	#65307	C₂²	1	1	yes	characteristic, complemented
119	C₄×#687	C₂²	1	1	yes	characteristic, complemented
120	#65305	C₂²	1	1	yes	characteristic, complemented
121	#65305	C₂²	1	1	yes	characteristic, complemented
122	#65303	C₂²	1	1	yes	characteristic, complemented
123	#65303	C₂²	1	1	yes	characteristic, complemented
124	C₄×#686	C₂²	1	1	yes	characteristic, complemented
125	C₄×#686	C₂²	1	1	yes	characteristic, complemented
126	#65297	C₂²	1	1	yes	characteristic, complemented
127	#65296	C₂²	1	1	yes	characteristic, complemented
128	#65292	C₂²	1	1	yes	characteristic, complemented
129	#65289	C₂²	1	1	yes	characteristic, complemented
130	#65285	C₂²	1	1	yes	characteristic, complemented
131	#65180	C₂²	1	1	yes	characteristic, complemented
132	#65180	C₂²	1	1	yes	characteristic, complemented
133	#65178	C₂²	1	1	yes	characteristic, complemented
134	#65177	C₂²	1	1	yes	characteristic, complemented
135	#65174	C₂²	1	1	yes	characteristic, complemented
136	#65170	C₂²	1	1	yes	characteristic, complemented
137	#65170	C₂²	1	1	yes	characteristic, complemented
138	#65161	C₂²	1	1	yes	characteristic, complemented
139	#65160	C₂²	1	1	yes	characteristic, complemented
140	#65160	C₂²	1	1	yes	characteristic, complemented
141	#65158	C₂²	1	1	yes	characteristic, complemented
142	#65156	C₂²	1	1	yes	characteristic, complemented
143	#65155	C₂²	1	1	yes	characteristic, complemented
144	#65150	C₂²	1	1	yes	characteristic, complemented
145	#65150	C₂²	1	1	yes	characteristic, complemented
146	#65141	C₂²	1	1	yes	characteristic, complemented
147	#65135	C₂²	1	1	yes	characteristic, complemented
148	#65133	C₂²	1	1	yes	characteristic, complemented
149	#65133	C₂²	1	1	yes	characteristic, complemented
150	#65131	C₂²	1	1	yes	characteristic, complemented
151	#65129	C₂²	1	1	yes	characteristic, complemented
152	#65129	C₂²	1	1	yes	characteristic, complemented
153	#65126	C₂²	1	1	yes	characteristic, complemented
154	#65126	C₂²	1	1	yes	characteristic, complemented
155	#65107	C₂²	1	1	yes	characteristic, complemented
156	#65107	C₂²	1	1	yes	characteristic, complemented
157	#65106	C₂²	1	1	yes	characteristic, complemented
158	#65104	C₂²	1	1	yes	characteristic, complemented
159	#65103	C₂²	1	1	yes	characteristic, complemented
160	#65092	C₂²	1	1	yes	characteristic, complemented
161	#65092	C₂²	1	1	yes	characteristic, complemented
162	#65077	C₂²	1	1	yes	characteristic, complemented
163	#65075	C₂²	1	1	yes	characteristic, complemented
164	#65075	C₂²	1	1	yes	characteristic, complemented
165	#65074	C₂²	1	1	yes	characteristic, complemented
166	#65074	C₂²	1	1	yes	characteristic, complemented
167	#65073	C₂²	1	1	yes	characteristic, complemented
168	#65068	C₂²	1	1	yes	characteristic, complemented
169	#65065	C₂²	1	1	yes	characteristic
170	#65065	C₂²	1	1	yes	characteristic
171	#65062	C₂²	1	1	yes	characteristic
172	#65062	C₂²	1	1	yes	characteristic
173	#65060	C₂²	1	1	yes	characteristic, complemented
174	#65060	C₂²	1	1	yes	characteristic, complemented
175	#65059	C₂²	1	1	yes	characteristic
176	#65059	C₂²	1	1	yes	characteristic
177	#65059	C₂²	1	1	yes	characteristic
178	#65059	C₂²	1	1	yes	characteristic
179	#65055	C₂²	1	1	yes	characteristic, complemented
180	#65055	C₂²	1	1	yes	characteristic, complemented
181	#65052	C₂²	1	1	yes	characteristic, complemented
182	#65052	C₂²	1	1	yes	characteristic, complemented
183	#65047	C₂²	1	1	yes	characteristic, complemented
184	#65046	C₂²	1	1	yes	characteristic, complemented
185	#65045	C₂²	1	1	yes	characteristic, complemented
186	#65045	C₂²	1	1	yes	characteristic, complemented
187	#65026	C₂²	1	1	yes	characteristic, complemented
188	#65021	C₂²	1	1	yes	characteristic
189	#65020	C₂²	1	1	yes	characteristic
190	#65015	C₂²	1	1	yes	characteristic
191	#65015	C₂²	1	1	yes	characteristic
192	#65012	C₂²	1	1	yes	characteristic, complemented
193	#65009	C₂²	1	1	yes	characteristic, complemented
194	#65009	C₂²	1	1	yes	characteristic, complemented
195	#65000	C₂²	1	1	yes	characteristic, complemented
196	#64999	C₂²	1	1	yes	characteristic, complemented
197	#64998	C₂²	1	1	yes	characteristic, complemented
198	#64996	C₂²	1	1	yes	characteristic, complemented
199	C₄×D₄₀	C₂²	1	1	yes	characteristic, complemented
200	C₄×#677	C₂²	1	1	yes	characteristic, complemented
201	#64979	C₂²	1	1	yes	characteristic, complemented
202	C₄×#676	C₂²	1	1	yes	characteristic, complemented
203	#60564	—	5	1	no	maximal, Sylow
204	C₂⁴×D₅	—	2	1	no	—
205	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
206	C₂²×C₂²⋊D₅	—	2	1	no	—
207	C₂×#713	C₂³	1	1	yes	characteristic
208	C₂×#711	C₂³	1	1	yes	characteristic
209	C₂×D₄×D₅	—	2	4	no	—
210	C₂×D₄×D₅	—	2	4	no	—
211	C₂×D₄×D₅	—	2	1	no	—
212	C₂×D₄×D₅	—	2	1	no	—
213	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
214	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
215	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
216	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
217	C₂²×D₂₀	C₂³	1	1	yes	characteristic
218	C₂²×C₄×D₅	—	2	1	no	—
219	C₂²×C₄×D₅	—	2	1	no	—
220	C₂²×C₄×D₅	—	2	1	no	—
221	C₂²×C₄×D₅	—	2	1	no	—
222	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
223	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
224	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
225	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
226	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
227	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
228	C₅×#126	—	2	1	no	—
229	C₅×#124	—	2	1	no	—
230	C₅×#124	C₂³	1	1	yes	characteristic, complemented
231	C₅×#123	—	2	1	no	—
232	C₅×C₂²⋊Q₈	—	2	1	no	—
233	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
234	C₅×#121	C₂³	1	1	yes	characteristic
235	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic, complemented
236	C₄×C₅×D₄	—	2	1	no	—
237	C₄×C₅×D₄	—	2	1	no	—
238	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
239	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
240	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
241	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
242	C₄×C₅×D₄	C₂³	1	1	yes	characteristic, complemented
243	C₅×#117	C₂³	1	1	yes	characteristic
244	C₅×#117	C₂³	1	1	yes	characteristic
245	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
246	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
247	C₂×C₂²⋊Dic₅	—	2	1	no	—
248	C₂×C₂²⋊Dic₅	—	2	1	no	—
249	#4093	—	2	1	no	—
250	#4092	—	2	1	no	—
251	#4092	—	2	1	no	—
252	#4092	C₂³	1	1	yes	characteristic
253	Q₈×Dic₅	—	2	1	no	—
254	Q₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
255	#4090	C₂³	1	1	yes	characteristic, complemented
256	C₂×#688	C₂³	1	1	yes	characteristic
257	C₂×#688	C₂³	1	1	yes	characteristic
258	#4086	C₂³	1	1	yes	characteristic, complemented
259	#4085	—	2	1	no	—
260	#4084	—	2	1	no	—
261	#4084	C₂³	1	1	yes	characteristic
262	#4083	—	2	1	no	—
263	D₄×Dic₅	—	2	1	no	—
264	D₄×Dic₅	—	2	1	no	—
265	D₄×Dic₅	—	2	1	no	—
266	D₄×Dic₅	C₂³	1	1	yes	characteristic
267	D₄×Dic₅	C₂³	1	1	yes	characteristic
268	D₄×Dic₅	C₂³	1	1	yes	characteristic
269	D₄×Dic₅	C₂³	1	1	yes	characteristic
270	D₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
271	C₂×#687	C₂³	1	1	yes	characteristic
272	C₂×#687	C₂³	1	1	yes	characteristic
273	C₂×#686	C₂³	1	1	yes	characteristic
274	C₂×#686	C₂³	1	1	yes	characteristic
275	C₂×#686	C₂³	1	1	yes	characteristic
276	C₂×#686	C₂³	1	1	yes	characteristic
277	#4076	—	2	1	no	—
278	#4076	C₂³	1	1	yes	characteristic
279	#4075	—	2	1	no	—
280	C₄×C₂²⋊D₅	—	2	1	no	—
281	C₄×C₂²⋊D₅	—	2	1	no	—
282	C₄×C₂²⋊D₅	—	2	1	no	—
283	C₄×C₂²⋊D₅	—	2	1	no	—
284	C₄×C₂²⋊D₅	—	2	1	no	—
285	C₄×C₂²⋊D₅	—	2	1	no	—
286	C₄×C₂²⋊D₅	—	2	1	no	—
287	C₄×C₂²⋊D₅	—	2	1	no	—
288	C₄×C₂²⋊D₅	—	2	1	no	—
289	C₂×#685	—	2	1	no	—
290	C₂×#685	—	2	1	no	—
291	C₂×#685	—	2	1	no	—
292	C₂×#685	—	2	1	no	—
293	#4072	C₂³	1	1	yes	characteristic
294	#4072	C₂³	1	1	yes	characteristic
295	#4070	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₅	—	2	1	no	—
297	#4060	—	2	4	no	—
298	#4060	—	2	4	no	—
299	#4057	—	2	4	no	—
300	#4057	—	2	4	no	—
301	C₂×D₄₀	C₂³	1	1	yes	characteristic
302	C₂×D₄₀	C₂³	1	1	yes	characteristic
303	C₂×#677	C₂³	1	1	yes	characteristic
304	C₂×#677	C₂³	1	1	yes	characteristic
305	C₂×#676	C₂³	1	1	yes	characteristic
306	C₂×#676	C₂³	1	1	yes	characteristic
307	C₂×#676	C₂³	1	1	yes	characteristic
308	C₂×#676	C₂³	1	1	yes	characteristic
309	#4044	—	2	1	no	—
310	#4044	—	2	1	no	—
311	#4044	—	2	1	no	—
312	#4043	—	2	1	no	—
313	#4043	C₂³	1	1	yes	characteristic
314	#4042	—	2	1	no	—
315	#4041	C₂³	1	1	yes	characteristic
316	#4040	—	2	1	no	—
317	#4040	—	2	1	no	—
318	#4039	—	2	1	no	—
319	#4039	—	2	1	no	—
320	#4039	—	2	1	no	—
321	#4039	—	2	1	no	—
322	#4039	C₂³	1	1	yes	characteristic
323	#4039	C₂³	1	1	yes	characteristic
324	#4039	C₂³	1	1	yes	characteristic
325	#4039	C₂³	1	1	yes	characteristic
326	#4039	C₂³	1	1	yes	characteristic, complemented
327	#4038	—	2	1	no	—
328	#4038	D₄	1	1	yes	characteristic
329	#4038	D₄	1	1	yes	characteristic
330	#4038	C₂³	1	1	yes	characteristic
331	#4038	C₂³	1	1	yes	characteristic
332	#4038	C₂³	1	1	yes	characteristic
333	#4038	C₂³	1	1	yes	characteristic
334	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
335	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
336	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
337	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
338	#4036	—	2	1	no	—
339	#4036	C₂³	1	1	yes	characteristic, complemented
340	#4036	C₂³	1	1	yes	characteristic, complemented
341	#4035	—	2	1	no	—
342	#4035	—	2	1	no	—
343	#4033	—	2	1	no	—
344	#4033	C₂³	1	1	yes	characteristic, complemented
345	#4032	—	2	1	no	—
346	#4032	—	2	1	no	—
347	#4031	—	2	1	no	—
348	#4031	—	2	1	no	—
349	#4030	—	2	1	no	—
350	#4030	—	2	1	no	—
351	#4030	—	2	1	no	—
352	#4029	—	2	1	no	—
353	#4029	—	2	1	no	—
354	#4029	—	2	1	no	—
355	#4029	—	2	1	no	—
356	#4028	—	2	1	no	—
357	#4027	—	2	1	no	—
358	#4027	—	2	1	no	—
359	#4027	—	2	1	no	—
360	#4027	—	2	1	no	—
361	#4027	—	2	1	no	—
362	#4027	—	2	1	no	—
363	#4027	—	2	1	no	—
364	#4027	—	2	1	no	—
365	#4027	—	2	1	no	—
366	#4027	—	2	1	no	—
367	#4027	—	2	1	no	—
368	#4027	—	2	1	no	—
369	#4027	—	2	1	no	—
370	D₅×C₂²⋊C₄	—	2	1	no	—
371	D₅×C₂²⋊C₄	—	2	1	no	—
372	D₅×C₂²⋊C₄	—	2	1	no	—
373	D₅×C₂²⋊C₄	—	2	1	no	—
374	D₅×C₂²⋊C₄	—	2	1	no	—
375	D₅×C₂²⋊C₄	—	2	1	no	—
376	D₅×C₂²⋊C₄	—	2	1	no	—
377	D₅×C₂²⋊C₄	—	2	1	no	—
378	D₅×C₂²⋊C₄	—	2	1	no	—
379	D₅×C₂²⋊C₄	—	2	1	no	—
380	D₅×C₂²⋊C₄	—	2	1	no	—
381	D₅×C₂²⋊C₄	—	2	1	no	—
382	D₅×C₂²⋊C₄	—	2	1	no	—
383	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
384	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
385	#4025	—	2	1	no	—
386	#4025	—	2	1	no	—
387	#4025	—	2	1	no	—
388	#4024	—	2	1	no	—
389	#4023	—	2	1	no	—
390	#4023	—	2	1	no	—
391	#4023	D₄	1	1	yes	characteristic
392	#4023	D₄	1	1	yes	characteristic
393	#4022	—	2	1	no	—
394	#4021	C₂³	1	1	yes	characteristic, complemented
395	C₄×D₂₀	—	2	1	no	—
396	C₄×D₂₀	—	2	1	no	—
397	C₄×D₂₀	—	2	1	no	—
398	C₄×D₂₀	C₂³	1	1	yes	characteristic
399	C₄×D₂₀	C₂³	1	1	yes	characteristic
400	C₄×D₂₀	C₂³	1	1	yes	characteristic
401	C₄×D₂₀	C₂³	1	1	yes	characteristic
402	C₄×D₂₀	C₂³	1	1	yes	characteristic, complemented
403	#4018	—	2	1	no	—
404	#4018	C₂³	1	1	yes	characteristic
405	#4018	C₂³	1	1	yes	characteristic
406	C₄²×D₅	—	2	1	no	—
407	C₄²×D₅	—	2	1	no	—
408	C₄²×D₅	C₂³	1	1	yes	characteristic
409	C₄²×D₅	C₂³	1	1	yes	characteristic
410	#4016	—	2	1	no	—
411	#4015	C₂³	1	1	yes	characteristic, complemented
412	C₄×Dic₁₀	C₂³	1	1	yes	characteristic, complemented
413	C₅×#107	C₂³	1	1	yes	characteristic, complemented
414	C₅×#107	C₂³	1	1	yes	characteristic, complemented
415	C₅×#106	C₂³	1	1	yes	characteristic, complemented
416	C₅×#106	C₂³	1	1	yes	characteristic, complemented
417	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
418	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
419	C₅×#103	C₂³	1	1	yes	characteristic, complemented
420	C₅×#103	C₂³	1	1	yes	characteristic, complemented
421	C₅×#102	C₂³	1	1	yes	characteristic
422	C₅×#102	C₂³	1	1	yes	characteristic
423	C₅×#102	C₂³	1	1	yes	characteristic
424	C₅×#102	C₂³	1	1	yes	characteristic
425	C₅×#102	C₂³	1	1	yes	characteristic, complemented
426	C₅×#102	C₂³	1	1	yes	characteristic, complemented
427	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
429	C₅×#97	C₂³	1	1	yes	characteristic, complemented
430	C₄×C₅×C₈	C₂³	1	1	yes	characteristic, complemented
431	#3967	C₂³	1	1	yes	characteristic, complemented
432	#3967	C₂³	1	1	yes	characteristic, complemented
433	#3964	C₂³	1	1	yes	characteristic
434	#3964	C₂³	1	1	yes	characteristic
435	#3964	C₂³	1	1	yes	characteristic
436	#3964	C₂³	1	1	yes	characteristic
437	#3964	C₂³	1	1	yes	characteristic, complemented
438	#3964	C₂³	1	1	yes	characteristic, complemented
439	C₂²⋊#168	C₂³	1	1	yes	characteristic
440	C₂²⋊#168	C₂³	1	1	yes	characteristic
441	#3953	C₂³	1	1	yes	characteristic
442	#3953	C₂³	1	1	yes	characteristic
443	#3953	C₂³	1	1	yes	characteristic
444	#3953	C₂³	1	1	yes	characteristic
445	#3953	C₂³	1	1	yes	characteristic, complemented
446	#3953	C₂³	1	1	yes	characteristic, complemented
447	#3952	C₂³	1	1	yes	characteristic
448	#3952	C₂³	1	1	yes	characteristic
449	#3952	C₂³	1	1	yes	characteristic
450	#3952	C₂³	1	1	yes	characteristic
451	#3950	C₂³	1	1	yes	characteristic, complemented
452	#3950	C₂³	1	1	yes	characteristic, complemented
453	#3949	C₂³	1	1	yes	characteristic, complemented
454	#3949	C₂³	1	1	yes	characteristic, complemented
455	#3948	C₂³	1	1	yes	characteristic, complemented
456	#3948	C₂³	1	1	yes	characteristic, complemented
457	#3947	C₂³	1	1	yes	characteristic, complemented
458	#3947	C₂³	1	1	yes	characteristic, complemented
459	#3946	C₂³	1	1	yes	characteristic, complemented
460	#3946	C₂³	1	1	yes	characteristic, complemented
461	#3946	C₂³	1	1	yes	characteristic, complemented
462	#3946	C₂³	1	1	yes	characteristic, complemented
463	C₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
464	C₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
465	#3942	C₂³	1	1	yes	characteristic, complemented
466	#3942	C₂³	1	1	yes	characteristic, complemented
467	#3941	C₂³	1	1	yes	characteristic
468	#3941	C₂³	1	1	yes	characteristic
469	#3941	C₂³	1	1	yes	characteristic
470	#3941	C₂³	1	1	yes	characteristic
471	#3941	C₂³	1	1	yes	characteristic, complemented
472	#3941	C₂³	1	1	yes	characteristic, complemented
473	#3940	C₂³	1	1	yes	characteristic, complemented
474	#3940	C₂³	1	1	yes	characteristic, complemented
475	#3940	C₂³	1	1	yes	characteristic, complemented
476	#3940	C₂³	1	1	yes	characteristic, complemented
477	#3939	C₂³	1	1	yes	characteristic, complemented
478	#3939	C₂³	1	1	yes	characteristic, complemented
479	#3939	C₂³	1	1	yes	characteristic, complemented
480	#3939	C₂³	1	1	yes	characteristic, complemented
481	C₄⋊#168	C₂³	1	1	yes	characteristic, complemented
482	C₄⋊#168	C₂³	1	1	yes	characteristic, complemented
483	#3935	C₂³	1	1	yes	characteristic, complemented
484	C₄×#168	C₂³	1	1	yes	characteristic, complemented
485	#3455	—	5	1	no	—
486	C₂×#518	—	5	1	no	—
487	#3123	—	5	1	no	—
488	#3123	—	5	1	no	—
489	#3123	—	5	1	no	—
490	#3123	—	5	1	no	—
491	#3122	—	5	1	no	—
492	#3122	—	5	1	no	—
493	#3122	—	5	1	no	—
494	#3122	—	5	1	no	—
495	#3118	—	5	1	no	—
496	#3118	—	5	1	no	—
497	#3118	—	5	1	no	—
498	#3118	—	5	1	no	—
499	#3118	—	5	1	no	—
500	#3118	—	5	1	no	—
501	#3118	—	5	1	no	—
502	#3118	D₅	1	1	yes	characteristic, complemented
503	#3093	—	5	1	no	—
504	#3093	—	5	1	no	—
505	#3077	—	5	1	no	—
506	#3077	—	5	1	no	—
507	#3036	—	5	1	no	—
508	#3036	—	5	1	no	—
509	#3003	—	5	1	no	—
510	#3003	—	5	1	no	—
511	C₄×AGL(1,ℤ/8)	—	5	1	no	—
512	C₄×AGL(1,ℤ/8)	—	5	1	no	—
513	C₄×AGL(1,ℤ/8)	—	5	1	no	—
514	C₄×AGL(1,ℤ/8)	—	5	1	no	—
515	#2921	—	5	1	no	—
516	C₂⁴×C₅	—	2	1	no	—
517	C₂³×D₅	—	2	8	no	—
518	C₂³×D₅	—	2	1	no	—
519	C₂³×D₅	—	2	1	no	—
520	C₂³×D₅	—	2	1	no	—
521	C₂³×D₅	—	2	1	no	—
522	C₂³×D₅	—	2	1	no	—
523	C₂³×D₅	—	8	2	no	—
524	C₂³×D₅	—	8	2	no	—
525	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
526	C₂×C₅×Q₈	—	2	1	no	—
527	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
528	C₂×C₅×D₄	—	2	2	no	—
529	C₂×C₅×D₄	—	2	2	no	—
530	C₂×C₅×D₄	—	2	1	no	—
531	C₂×C₅×D₄	—	2	1	no	—
532	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
533	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
534	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄×C₅	—	2	1	no	—
536	C₂²×C₄×C₅	—	2	1	no	—
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	C₂⁴	1	1	yes	characteristic
541	C₂×C₂²⋊D₅	—	2	8	no	—
542	C₂×C₂²⋊D₅	—	2	1	no	—
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	C₂²×Dic₅	—	2	1	no	—
552	C₂²×Dic₅	—	2	1	no	—
553	C₂²×Dic₅	—	2	1	no	—
554	C₂²×Dic₅	—	2	1	no	—
555	C₂²×Dic₅	—	2	1	no	—
556	C₂²×Dic₅	—	2	1	no	—
557	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
558	#713	—	2	2	no	—
559	#713	—	2	2	no	—
560	#711	—	2	2	no	—
561	#711	—	2	2	no	—
562	D₄×D₅	—	2	8	no	—
563	D₄×D₅	—	2	8	no	—
564	D₄×D₅	—	2	2	no	—
565	D₄×D₅	—	2	2	no	—
566	D₄×D₅	—	2	2	no	—
567	D₄×D₅	—	2	2	no	—
568	D₄×D₅	—	2	2	no	—
569	D₄×D₅	—	2	2	no	—
570	D₄×D₅	#41	1	4	yes	—
571	D₄×D₅	#41	1	4	yes	—
572	C₂×D₂₀	—	2	1	no	—
573	C₂×D₂₀	—	2	2	no	—
574	C₂×D₂₀	—	2	2	no	—
575	C₂×D₂₀	—	2	1	no	—
576	C₂×D₂₀	—	2	1	no	—
577	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
578	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
579	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
580	C₂×C₄×D₅	—	2	2	no	—
581	C₂×C₄×D₅	—	2	2	no	—
582	C₂×C₄×D₅	—	2	1	no	—
583	C₂×C₄×D₅	—	2	1	no	—
584	C₂×C₄×D₅	—	2	1	no	—
585	C₂×C₄×D₅	—	2	1	no	—
586	C₂×C₄×D₅	—	2	1	no	—
587	C₂×C₄×D₅	—	2	1	no	—
588	C₂×C₄×D₅	—	2	1	no	—
589	C₂×C₄×D₅	—	2	1	no	—
590	C₂×C₄×D₅	—	2	1	no	—
591	C₂×C₄×D₅	—	2	1	no	—
592	C₂×C₄×D₅	—	2	1	no	—
593	C₂×C₄×D₅	—	2	1	no	—
594	C₂×C₄×D₅	—	2	1	no	—
595	C₂×C₄×D₅	—	8	2	no	—
596	C₂×C₄×D₅	—	8	2	no	—
597	C₂×C₄×D₅	—	8	2	no	—
598	C₂×C₄×D₅	—	8	2	no	—
599	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
600	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
601	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
602	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
603	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
604	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
605	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
606	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
607	C₂×Dic₁₀	—	2	1	no	—
608	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
609	C₅×SD₁₆	—	2	2	no	—
610	C₅×SD₁₆	—	2	2	no	—
611	C₅×D₈	—	2	2	no	—
612	C₅×D₈	—	2	2	no	—
613	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
614	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
615	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
616	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
617	C₅×C₄⋊C₄	—	2	1	no	—
618	C₅×C₄⋊C₄	—	2	1	no	—
619	C₅×C₄⋊C₄	—	2	1	no	—
620	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
621	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
622	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
623	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
624	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
625	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
626	C₅×C₂²⋊C₄	—	2	1	no	—
627	C₅×C₂²⋊C₄	—	2	1	no	—
628	C₅×C₂²⋊C₄	—	2	1	no	—
629	C₅×C₂²⋊C₄	—	2	1	no	—
630	C₅×C₂²⋊C₄	—	2	1	no	—
631	C₅×C₂²⋊C₄	—	2	1	no	—
632	C₅×C₂²⋊C₄	—	2	1	no	—
633	C₅×C₂²⋊C₄	—	2	1	no	—
634	C₅×C₂²⋊C₄	—	2	1	no	—
635	C₅×C₂²⋊C₄	—	2	1	no	—
636	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
637	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
638	C₄²×C₅	—	2	1	no	—
639	C₄²×C₅	—	2	1	no	—
640	C₄²×C₅	C₂⁴	1	1	yes	characteristic
641	C₄²×C₅	C₂⁴	1	1	yes	characteristic
642	C₂²⋊Dic₅	—	2	1	no	—
643	C₂²⋊Dic₅	—	2	1	no	—
644	C₂²⋊Dic₅	—	2	1	no	—
645	C₂²⋊Dic₅	—	2	1	no	—
646	C₂²⋊Dic₅	—	2	1	no	—
647	C₂²⋊Dic₅	—	2	1	no	—
648	C₂²⋊Dic₅	—	2	1	no	—
649	C₂²⋊Dic₅	—	2	1	no	—
650	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
651	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
652	#688	—	2	2	no	—
653	#688	—	2	2	no	—
654	#687	—	2	2	no	—
655	#687	—	2	2	no	—
656	#686	—	2	2	no	—
657	#686	—	2	2	no	—
658	#686	—	2	2	no	—
659	#686	—	2	2	no	—
660	#685	—	2	1	no	—
661	#685	—	2	1	no	—
662	#685	—	2	1	no	—
663	#685	—	2	1	no	—
664	#685	—	2	1	no	—
665	#685	—	2	1	no	—
666	#685	—	2	1	no	—
667	#685	—	2	1	no	—
668	#685	—	2	1	no	—
669	#685	—	2	1	no	—
670	#685	—	2	1	no	—
671	#685	—	2	1	no	—
672	#685	—	2	1	no	—
673	#685	—	2	1	no	—
674	#685	—	2	1	no	—
675	#685	—	2	1	no	—
676	#685	—	2	1	no	—
677	#685	—	2	1	no	—
678	#685	—	2	1	no	—
679	#685	—	2	1	no	—
680	#685	C₂×D₄	1	1	yes	characteristic
681	#685	C₂×D₄	1	1	yes	characteristic
682	#685	C₂×D₄	1	1	yes	characteristic
683	#685	C₂×D₄	1	1	yes	characteristic
684	C₄⋊Dic₅	—	2	1	no	—
685	C₄⋊Dic₅	—	2	1	no	—
686	C₄⋊Dic₅	—	2	1	no	—
687	C₄⋊Dic₅	—	2	1	no	—
688	C₄⋊Dic₅	—	2	1	no	—
689	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
690	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
691	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
692	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
693	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
694	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
695	#683	—	2	1	no	—
696	#683	—	2	1	no	—
697	#683	—	2	1	no	—
698	#683	—	2	1	no	—
699	#683	—	2	1	no	—
700	#683	—	2	1	no	—
701	#683	—	2	1	no	—
702	#683	—	2	1	no	—
703	#683	—	2	1	no	—
704	#683	—	2	1	no	—
705	#683	C₂×D₄	1	1	yes	characteristic
706	#683	C₂×D₄	1	1	yes	characteristic
707	#683	C₂×D₄	1	1	yes	characteristic
708	#683	C₂×D₄	1	1	yes	characteristic
709	C₄×Dic₅	—	2	1	no	—
710	C₄×Dic₅	—	2	1	no	—
711	C₄×Dic₅	—	2	1	no	—
712	C₄×Dic₅	—	2	1	no	—
713	C₄×Dic₅	—	2	1	no	—
714	C₄×Dic₅	—	2	1	no	—
715	C₄×Dic₅	—	2	1	no	—
716	C₄×Dic₅	—	2	1	no	—
717	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
718	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
719	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
720	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
721	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
722	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
723	C₂×#168	C₂⁴	1	1	yes	characteristic
724	C₂×#168	C₂⁴	1	1	yes	characteristic
725	C₂×#168	C₂⁴	1	1	yes	characteristic
726	C₂×#168	C₂⁴	1	1	yes	characteristic
727	D₄₀	—	2	2	no	—
728	D₄₀	—	2	2	no	—
729	#677	—	2	2	no	—
730	#677	—	2	2	no	—
731	#676	—	2	2	no	—
732	#676	—	2	2	no	—
733	#676	—	2	2	no	—
734	#676	—	2	2	no	—
735	C₂³×D₄	—	5	1	no	—
736	C₂×AGL(1,ℤ/8)	—	5	1	no	—
737	C₂×AGL(1,ℤ/8)	—	5	1	no	—
738	C₂×AGL(1,ℤ/8)	—	5	1	no	—
739	C₂×AGL(1,ℤ/8)	—	5	1	no	—
740	#542	—	5	1	no	—
741	#542	—	5	1	no	—
742	#542	—	5	1	no	—
743	#542	C₂×D₅	1	1	yes	characteristic, complemented
744	#541	—	5	1	no	—
745	#541	—	5	1	no	—
746	#540	—	5	1	no	—
747	#540	—	5	1	no	—
748	#539	—	10	1	no	—
749	#539	—	10	1	no	—
750	#538	—	10	1	no	—
751	#538	—	10	1	no	—
752	#533	—	5	1	no	—
753	#532	—	5	1	no	—
754	#529	—	10	1	no	—
755	#529	—	10	1	no	—
756	#529	—	10	1	no	—
757	#529	—	10	1	no	—
758	#525	—	5	1	no	—
759	#525	—	5	1	no	—
760	#518	—	5	1	no	—
761	#518	—	5	1	no	—
762	#518	—	5	1	no	—
763	#518	—	5	1	no	—
764	#518	—	5	1	no	—
765	#518	—	5	1	no	—
766	#518	—	5	1	no	—
767	#518	—	10	1	no	—
768	#518	—	10	1	no	—
769	#518	—	10	1	no	—
770	#518	—	10	1	no	—
771	#518	C₂×D₅	1	1	yes	characteristic
772	C₄×#41	—	5	1	no	—
773	C₄×#41	—	5	1	no	—
774	C₂×C₄×D₄	—	5	1	no	—
775	C₂×C₄×D₄	—	5	1	no	—
776	C₂×C₄×D₄	—	5	1	no	—
777	C₂×C₄×D₄	—	5	1	no	—
778	C₂×C₄×D₄	—	10	1	no	—
779	C₂×C₄×D₄	—	10	1	no	—
780	C₂×#117	—	5	1	no	—
781	C₂×#117	—	5	1	no	—
782	C₂²×C₂²⋊C₄	—	10	1	no	—
783	C₂²×C₂²⋊C₄	—	10	1	no	—
784	#485	—	5	1	no	—
785	#485	—	5	1	no	—
786	#485	—	5	1	no	—
787	#485	—	5	1	no	—
788	#485	—	5	1	no	—
789	#485	—	5	1	no	—
790	#485	—	5	1	no	—
791	#485	C₂×D₅	1	1	yes	characteristic, complemented
792	#482	—	5	1	no	—
793	#482	—	5	1	no	—
794	#482	—	5	1	no	—
795	#482	—	5	1	no	—
796	#482	—	5	1	no	—
797	#482	—	5	1	no	—
798	#482	—	5	1	no	—
799	#482	C₂×D₅	1	1	yes	characteristic, complemented
800	#478	—	5	1	no	—
801	#478	—	5	1	no	—
802	#478	—	5	1	no	—
803	#478	—	5	1	no	—
804	#478	—	5	1	no	—
805	#478	—	5	1	no	—
806	#478	—	5	1	no	—
807	#478	—	5	1	no	—
808	#476	—	5	1	no	—
809	#476	—	5	1	no	—
810	#476	—	5	1	no	—
811	#476	C₂×D₅	1	1	yes	characteristic, complemented
812	#474	—	5	1	no	—
813	#474	—	5	1	no	—
814	#474	—	5	1	no	—
815	#474	C₂×D₅	1	1	yes	characteristic, complemented
816	#463	—	5	1	no	—
817	#463	—	5	1	no	—
818	#463	—	5	1	no	—
819	#463	—	5	1	no	—
820	#463	—	5	1	no	—
821	#463	—	5	1	no	—
822	#463	C₂×D₅	1	1	yes	characteristic, complemented
823	#463	C₂×D₅	1	1	yes	characteristic, complemented
824	#461	—	5	1	no	—
825	#461	—	5	1	no	—
826	#461	—	5	1	no	—
827	#461	—	5	1	no	—
828	#459	—	5	1	no	—
829	#459	—	5	1	no	—
830	#459	—	5	1	no	—
831	#459	—	5	1	no	—
832	#450	—	5	1	no	—
833	#450	—	5	1	no	—
834	#450	—	5	1	no	—
835	#450	—	5	1	no	—
836	#450	—	5	1	no	—
837	#450	—	5	1	no	—
838	#450	—	5	1	no	—
839	#450	C₂×D₅	1	1	yes	characteristic
840	#447	—	5	1	no	—
841	#447	—	5	1	no	—
842	#447	—	5	1	no	—
843	#447	—	5	1	no	—
844	#447	—	5	1	no	—
845	#447	—	5	1	no	—
846	#447	—	5	1	no	—
847	#447	C₂×D₅	1	1	yes	characteristic
848	#442	—	5	1	no	—
849	#442	—	5	1	no	—
850	#442	—	5	1	no	—
851	#442	—	5	1	no	—
852	#442	—	5	1	no	—
853	#442	—	5	1	no	—
854	#442	—	5	1	no	—
855	#442	C₂×D₅	1	1	yes	characteristic, complemented
856	#440	—	5	1	no	—
857	#440	—	5	1	no	—
858	#440	—	5	1	no	—
859	#440	—	5	1	no	—
860	#440	—	5	1	no	—
861	#440	—	5	1	no	—
862	#440	—	5	1	no	—
863	#440	C₂×D₅	1	1	yes	characteristic, complemented
864	C₄×SD₁₆	—	5	1	no	—
865	C₄×SD₁₆	—	5	1	no	—
866	C₄×SD₁₆	—	5	1	no	—
867	C₄×SD₁₆	—	5	1	no	—
868	C₄×SD₁₆	—	5	1	no	—
869	C₄×SD₁₆	—	5	1	no	—
870	C₄×SD₁₆	—	5	1	no	—
871	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
872	C₄×D₈	—	5	1	no	—
873	C₄×D₈	—	5	1	no	—
874	C₄×D₈	—	5	1	no	—
875	C₄×D₈	—	5	1	no	—
876	C₄×D₈	—	5	1	no	—
877	C₄×D₈	—	5	1	no	—
878	C₄×D₈	—	5	1	no	—
879	C₄×D₈	C₂×D₅	1	1	yes	characteristic, complemented
880	#433	—	5	1	no	—
881	#433	—	5	1	no	—
882	#433	—	5	1	no	—
883	#433	—	5	1	no	—
884	#433	—	5	1	no	—
885	#433	—	5	1	no	—
886	#433	—	5	1	no	—
887	#433	C₂×D₅	1	1	yes	characteristic, complemented
888	#428	—	5	1	no	—
889	#428	—	5	1	no	—
890	#428	—	5	1	no	—
891	#428	—	5	1	no	—
892	#423	—	5	1	no	—
893	#423	—	5	1	no	—
894	#418	—	5	1	no	—
895	#418	—	5	1	no	—
896	#418	—	5	1	no	—
897	#418	—	5	1	no	—
898	#417	—	5	1	no	—
899	#417	—	5	1	no	—
900	#417	—	5	1	no	—
901	#417	—	5	1	no	—
902	#407	—	5	1	no	—
903	#407	—	5	1	no	—
904	C₄×M₁₆	—	5	1	no	—
905	C₄×M₁₆	—	5	1	no	—
906	C₂³×C₅	—	2	4	no	—
907	C₂³×C₅	—	2	1	no	—
908	C₂³×C₅	—	2	1	no	—
909	C₂³×C₅	—	2	1	no	—
910	C₂³×C₅	—	8	1	no	—
911	C₂³×C₅	—	8	1	no	—
912	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
913	C₂²×D₅	—	2	1	no	—
914	C₂²×D₅	—	2	1	no	—
915	C₂²×D₅	—	2	4	no	—
916	C₂²×D₅	—	2	4	no	—
917	C₂²×D₅	—	2	4	no	—
918	C₂²×D₅	—	2	2	no	—
919	C₂²×D₅	—	2	4	no	—
920	C₂²×D₅	—	2	4	no	—
921	C₂²×D₅	—	2	1	no	—
922	C₂²×D₅	—	4	1	no	—
923	C₂²×D₅	—	4	1	no	—
924	C₂²×D₅	—	4	2	no	—
925	C₂²×D₅	—	4	2	no	—
926	C₂²×D₅	—	4	2	no	—
927	C₂²×D₅	—	4	2	no	—
928	C₂²×D₅	—	8	1	no	—
929	C₂²×D₅	—	8	1	no	—
930	C₂²×D₅	—	8	1	no	—
931	C₂²×D₅	—	8	1	no	—
932	C₂²×D₅	—	8	16	no	—
933	C₂²×D₅	—	8	1	no	—
934	C₂²×D₅	—	8	1	no	—
935	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
936	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
937	C₅×Q₈	—	2	1	no	—
938	C₅×Q₈	—	2	1	no	—
939	C₅×Q₈	—	8	1	no	—
940	C₅×D₄	—	2	4	no	—
941	C₅×D₄	—	2	1	no	—
942	C₅×D₄	—	2	1	no	—
943	C₅×D₄	—	2	1	no	—
944	C₅×D₄	—	2	1	no	—
945	C₅×D₄	—	8	1	no	—
946	C₅×D₄	C₂×#41	1	2	yes	—
947	C₅×D₄	C₂×#41	1	2	yes	—
948	C₂×C₄×C₅	—	2	1	no	—
949	C₂×C₄×C₅	—	2	1	no	—
950	C₂×C₄×C₅	—	2	1	no	—
951	C₂×C₄×C₅	—	2	1	no	—
952	C₂×C₄×C₅	—	2	1	no	—
953	C₂×C₄×C₅	—	2	1	no	—
954	C₂×C₄×C₅	—	2	1	no	—
955	C₂×C₄×C₅	—	8	1	no	—
956	C₂×C₄×C₅	—	8	1	no	—
957	C₂×C₄×C₅	—	8	1	no	—
958	C₂×C₄×C₅	—	8	1	no	—
959	C₂×C₄×C₅	—	8	1	no	—
960	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
961	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
962	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
963	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
964	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
965	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
966	C₂²⋊D₅	—	2	4	no	—
967	C₂²⋊D₅	—	2	4	no	—
968	C₂²⋊D₅	—	2	4	no	—
969	C₂²⋊D₅	—	2	4	no	—
970	C₂²⋊D₅	—	4	2	no	—
971	C₂²⋊D₅	—	8	1	no	—
972	C₂²⋊D₅	—	8	1	no	—
973	C₂²⋊D₅	—	8	1	no	—
974	C₂²⋊D₅	—	8	1	no	—
975	C₂×Dic₅	—	2	2	no	—
976	C₂×Dic₅	—	2	1	no	—
977	C₂×Dic₅	—	2	1	no	—
978	C₂×Dic₅	—	2	1	no	—
979	C₂×Dic₅	—	2	1	no	—
980	C₂×Dic₅	—	2	1	no	—
981	C₂×Dic₅	—	4	2	no	—
982	C₂×Dic₅	—	8	1	no	—
983	C₂×Dic₅	—	8	1	no	—
984	C₂×Dic₅	—	8	1	no	—
985	C₂×Dic₅	—	8	1	no	—
986	C₂×Dic₅	—	8	1	no	—
987	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
988	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
989	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
990	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
991	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
992	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
993	D₂₀	—	2	4	no	—
994	D₂₀	—	2	1	no	—
995	D₂₀	—	2	1	no	—
996	D₂₀	—	2	1	no	—
997	D₂₀	—	2	1	no	—
998	D₂₀	—	4	2	no	—
999	D₂₀	—	8	1	no	—
1000	D₂₀	C₂×#41	1	2	yes	—
1001	D₂₀	C₂×#41	1	2	yes	—
1002	C₄×D₅	—	2	2	no	—
1003	C₄×D₅	—	2	1	no	—
1004	C₄×D₅	—	2	1	no	—
1005	C₄×D₅	—	2	2	no	—
1006	C₄×D₅	—	4	1	no	—
1007	C₄×D₅	—	4	1	no	—
1008	C₄×D₅	—	4	1	no	—
1009	C₄×D₅	—	4	1	no	—
1010	C₄×D₅	—	4	2	no	—
1011	C₄×D₅	—	4	2	no	—
1012	C₄×D₅	—	4	2	no	—
1013	C₄×D₅	—	8	1	no	—
1014	C₄×D₅	—	8	1	no	—
1015	C₄×D₅	—	8	1	no	—
1016	C₄×D₅	—	8	1	no	—
1017	C₄×D₅	—	8	1	no	—
1018	C₄×D₅	—	8	1	no	—
1019	C₄×D₅	—	8	1	no	—
1020	C₄×D₅	—	8	1	no	—
1021	C₄×D₅	—	8	1	no	—
1022	C₄×D₅	—	8	1	no	—
1023	C₄×D₅	C₂×#41	1	2	yes	—
1024	C₄×D₅	C₂×#41	1	2	yes	—
1025	Dic₁₀	—	2	1	no	—
1026	Dic₁₀	—	2	1	no	—
1027	Dic₁₀	—	8	1	no	—
1028	C₅×C₈	—	2	1	no	—
1029	C₅×C₈	—	2	1	no	—
1030	C₅×C₈	—	2	1	no	—
1031	C₅×C₈	—	2	1	no	—
1032	#168	—	2	1	no	—
1033	#168	—	2	1	no	—
1034	#168	—	2	1	no	—
1035	#168	—	2	1	no	—
1036	C₂⁵	—	10	1	no	—
1037	C₂×#41	—	5	1	no	—
1038	C₂×#41	—	5	1	no	—
1039	C₂²×D₄	—	5	1	no	—
1040	C₂²×D₄	—	5	1	no	—
1041	C₂²×D₄	—	5	1	no	—
1042	C₂²×D₄	—	5	1	no	—
1043	C₂²×D₄	—	5	1	no	—
1044	C₂²×D₄	—	10	1	no	—
1045	C₂²×D₄	—	10	1	no	—
1046	C₂²×D₄	—	10	1	no	—
1047	C₂²×D₄	—	10	4	no	—
1048	C₂²×D₄	—	10	4	no	—
1049	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1050	C₂³×C₄	—	5	1	no	—
1051	C₂³×C₄	—	10	1	no	—
1052	C₂³×C₄	—	10	1	no	—
1053	C₂³×C₄	—	10	1	no	—
1054	C₂³×C₄	—	10	1	no	—
1055	AGL(1,ℤ/8)	—	10	4	no	—
1056	AGL(1,ℤ/8)	—	10	4	no	—
1057	AGL(1,ℤ/8)	—	10	4	no	—
1058	AGL(1,ℤ/8)	—	10	4	no	—
1059	C₂×SD₁₆	—	5	1	no	—
1060	C₂×SD₁₆	—	5	1	no	—
1061	C₂×SD₁₆	—	5	1	no	—
1062	C₂×SD₁₆	—	5	1	no	—
1063	C₂×SD₁₆	—	5	1	no	—
1064	C₂×SD₁₆	—	5	1	no	—
1065	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1066	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1067	C₂×D₈	—	5	1	no	—
1068	C₂×D₈	—	5	1	no	—
1069	C₂×D₈	—	5	1	no	—
1070	C₂×D₈	—	5	1	no	—
1071	C₂×D₈	—	5	1	no	—
1072	C₂×D₈	—	5	1	no	—
1073	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1074	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1075	C₂×M₁₆	—	5	1	no	—
1076	C₂×M₁₆	—	5	1	no	—
1077	C₂×M₁₆	—	5	1	no	—
1078	C₂×M₁₆	—	5	1	no	—
1079	C₄⋊Q₈	—	5	1	no	—
1080	C₄⋊Q₈	—	5	1	no	—
1081	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1082	#127	—	5	1	no	—
1083	#126	—	2	1	no	—
1084	#126	—	10	1	no	—
1085	#126	—	10	1	no	—
1086	#126	—	10	1	no	—
1087	#126	—	10	1	no	—
1088	#126	—	10	1	no	—
1089	#126	—	10	1	no	—
1090	#126	—	10	1	no	—
1091	#125	—	5	1	no	—
1092	#125	—	5	1	no	—
1093	#125	—	10	1	no	—
1094	#125	—	10	1	no	—
1095	#125	—	10	1	no	—
1096	#125	—	10	1	no	—
1097	#124	—	2	1	no	—
1098	#124	—	5	1	no	—
1099	#124	—	10	1	no	—
1100	#124	—	10	1	no	—
1101	#124	—	10	1	no	—
1102	#124	C₂²×D₅	1	1	yes	characteristic, complemented
1103	#123	—	2	1	no	—
1104	#123	—	10	1	no	—
1105	#123	—	10	1	no	—
1106	#123	—	10	1	no	—
1107	#123	—	10	1	no	—
1108	#123	—	10	1	no	—
1109	#123	—	10	1	no	—
1110	#123	—	10	1	no	—
1111	#123	—	10	1	no	—
1112	#123	—	10	1	no	—
1113	C₂²⋊Q₈	—	2	1	no	—
1114	C₂²⋊Q₈	—	5	1	no	—
1115	C₂²⋊Q₈	—	5	1	no	—
1116	C₂²⋊Q₈	—	5	1	no	—
1117	C₂²⋊Q₈	—	10	1	no	—
1118	C₂²⋊Q₈	—	10	1	no	—
1119	C₂²⋊Q₈	—	10	1	no	—
1120	C₂²⋊Q₈	—	10	1	no	—
1121	C₂²⋊Q₈	—	10	1	no	—
1122	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1123	#121	—	5	1	no	—
1124	#121	—	5	1	no	—
1125	#121	—	5	1	no	—
1126	#121	—	10	1	no	—
1127	#121	—	10	1	no	—
1128	#121	—	10	1	no	—
1129	#121	—	10	1	no	—
1130	#121	—	10	1	no	—
1131	#121	—	10	1	no	—
1132	#121	C₂²×D₅	1	1	yes	characteristic
1133	#120	—	10	1	no	—
1134	#120	—	10	1	no	—
1135	C₄×Q₈	—	5	1	no	—
1136	C₄×Q₈	—	5	1	no	—
1137	C₄×Q₈	—	5	1	no	—
1138	C₄×Q₈	—	10	1	no	—
1139	C₄×Q₈	—	10	1	no	—
1140	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1141	C₄×D₄	—	2	1	no	—
1142	C₄×D₄	—	2	1	no	—
1143	C₄×D₄	—	5	1	no	—
1144	C₄×D₄	—	5	1	no	—
1145	C₄×D₄	—	5	1	no	—
1146	C₄×D₄	—	5	1	no	—
1147	C₄×D₄	—	5	1	no	—
1148	C₄×D₄	—	5	1	no	—
1149	C₄×D₄	—	5	1	no	—
1150	C₄×D₄	—	5	1	no	—
1151	C₄×D₄	—	5	1	no	—
1152	C₄×D₄	—	5	1	no	—
1153	C₄×D₄	—	5	1	no	—
1154	C₄×D₄	—	5	1	no	—
1155	C₄×D₄	—	5	1	no	—
1156	C₄×D₄	—	5	1	no	—
1157	C₄×D₄	—	5	1	no	—
1158	C₄×D₄	—	10	1	no	—
1159	C₄×D₄	—	10	1	no	—
1160	C₄×D₄	—	10	1	no	—
1161	C₄×D₄	—	10	1	no	—
1162	C₄×D₄	—	10	1	no	—
1163	C₄×D₄	—	10	1	no	—
1164	C₄×D₄	—	10	1	no	—
1165	C₄×D₄	—	10	1	no	—
1166	C₄×D₄	—	10	1	no	—
1167	C₄×D₄	—	10	1	no	—
1168	C₄×D₄	—	10	1	no	—
1169	C₄×D₄	—	10	1	no	—
1170	C₄×D₄	—	10	1	no	—
1171	C₄×D₄	—	10	1	no	—
1172	C₄×D₄	—	10	1	no	—
1173	C₄×D₄	—	10	1	no	—
1174	C₄×D₄	—	10	1	no	—
1175	C₄×D₄	—	10	1	no	—
1176	C₄×D₄	—	10	1	no	—
1177	C₄×D₄	—	10	1	no	—
1178	C₄×D₄	—	10	1	no	—
1179	C₄×D₄	—	10	1	no	—
1180	C₄×D₄	—	10	1	no	—
1181	C₄×D₄	—	10	1	no	—
1182	C₄×D₄	—	10	1	no	—
1183	C₄×D₄	—	10	1	no	—
1184	C₄×D₄	—	10	1	no	—
1185	C₄×D₄	—	10	1	no	—
1186	C₄×D₄	—	10	1	no	—
1187	C₄×D₄	—	10	1	no	—
1188	C₄×D₄	—	10	1	no	—
1189	C₄×D₄	—	10	1	no	—
1190	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1191	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1192	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1193	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1194	C₄×D₄	C₂²×D₅	1	1	yes	characteristic, complemented
1195	#117	—	5	1	no	—
1196	#117	—	5	1	no	—
1197	#117	—	5	1	no	—
1198	#117	—	5	1	no	—
1199	#117	—	5	1	no	—
1200	#117	—	5	1	no	—
1201	#117	—	5	1	no	—
1202	#117	—	5	1	no	—
1203	#117	—	5	1	no	—
1204	#117	—	5	1	no	—
1205	#117	—	5	1	no	—
1206	#117	—	5	1	no	—
1207	#117	—	10	1	no	—
1208	#117	—	10	1	no	—
1209	#117	—	10	1	no	—
1210	#117	—	10	1	no	—
1211	#117	C₂²×D₅	1	1	yes	characteristic
1212	#117	C₂²×D₅	1	1	yes	characteristic
1213	C₂×C₄⋊C₄	—	5	1	no	—
1214	C₂×C₄⋊C₄	—	5	1	no	—
1215	C₂×C₄⋊C₄	—	5	1	no	—
1216	C₂×C₄⋊C₄	—	5	1	no	—
1217	C₂×C₂²⋊C₄	—	2	1	no	—
1218	C₂×C₂²⋊C₄	—	2	1	no	—
1219	C₂×C₂²⋊C₄	—	5	1	no	—
1220	C₂×C₂²⋊C₄	—	5	1	no	—
1221	C₂×C₂²⋊C₄	—	10	1	no	—
1222	C₂×C₂²⋊C₄	—	10	1	no	—
1223	C₂×C₂²⋊C₄	—	10	1	no	—
1224	C₂×C₂²⋊C₄	—	10	1	no	—
1225	C₂×C₂²⋊C₄	—	10	1	no	—
1226	C₂×C₂²⋊C₄	—	10	1	no	—
1227	C₂×C₂²⋊C₄	—	10	1	no	—
1228	C₂×C₂²⋊C₄	—	10	1	no	—
1229	C₂×C₂²⋊C₄	—	10	1	no	—
1230	C₂×C₂²⋊C₄	—	10	1	no	—
1231	C₂×C₂²⋊C₄	—	10	1	no	—
1232	C₂×C₂²⋊C₄	—	10	1	no	—
1233	C₂×C₂²⋊C₄	—	10	1	no	—
1234	C₂×C₂²⋊C₄	—	10	1	no	—
1235	C₂×C₂²⋊C₄	—	10	1	no	—
1236	C₂×C₂²⋊C₄	—	10	1	no	—
1237	C₂×C₂²⋊C₄	—	10	1	no	—
1238	C₂×C₂²⋊C₄	—	10	1	no	—
1239	C₂×C₂²⋊C₄	—	10	1	no	—
1240	C₂×C₄²	—	5	1	no	—
1241	C₂×C₄²	—	5	1	no	—
1242	C₂×C₄²	—	10	1	no	—
1243	C₂×C₄²	—	10	1	no	—
1244	C₂×C₄²	—	10	1	no	—
1245	#107	—	5	1	no	—
1246	#107	—	5	1	no	—
1247	#107	—	5	1	no	—
1248	#107	—	5	1	no	—
1249	#107	—	5	1	no	—
1250	#107	—	5	1	no	—
1251	#107	C₂²×D₅	1	1	yes	characteristic, complemented
1252	#107	C₂²×D₅	1	1	yes	characteristic, complemented
1253	#106	—	5	1	no	—
1254	#106	—	5	1	no	—
1255	#106	—	5	1	no	—
1256	#106	—	5	1	no	—
1257	#106	—	5	1	no	—
1258	#106	—	5	1	no	—
1259	#106	C₂²×D₅	1	1	yes	characteristic, complemented
1260	#106	C₂²×D₅	1	1	yes	characteristic, complemented
1261	C₄⋊C₈	—	5	1	no	—
1262	C₄⋊C₈	—	5	1	no	—
1263	C₄⋊C₈	—	5	1	no	—
1264	C₄⋊C₈	—	5	1	no	—
1265	C₄⋊C₈	—	5	1	no	—
1266	C₄⋊C₈	—	5	1	no	—
1267	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1268	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1269	#103	—	5	1	no	—
1270	#103	—	5	1	no	—
1271	#103	—	5	1	no	—
1272	#103	—	5	1	no	—
1273	#103	—	5	1	no	—
1274	#103	—	5	1	no	—
1275	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1276	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1277	#102	—	5	1	no	—
1278	#102	—	5	1	no	—
1279	#102	—	5	1	no	—
1280	#102	—	5	1	no	—
1281	#102	—	5	1	no	—
1282	#102	—	5	1	no	—
1283	#102	—	5	1	no	—
1284	#102	—	5	1	no	—
1285	#102	—	5	1	no	—
1286	#102	—	5	1	no	—
1287	#102	—	5	1	no	—
1288	#102	—	5	1	no	—
1289	#102	—	5	1	no	—
1290	#102	—	5	1	no	—
1291	#102	—	5	1	no	—
1292	#102	—	5	1	no	—
1293	#102	—	5	1	no	—
1294	#102	—	5	1	no	—
1295	#102	C₂²×D₅	1	1	yes	characteristic
1296	#102	C₂²×D₅	1	1	yes	characteristic
1297	#102	C₂²×D₅	1	1	yes	characteristic
1298	#102	C₂²×D₅	1	1	yes	characteristic
1299	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1300	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1301	C₂²⋊C₈	—	5	1	no	—
1302	C₂²⋊C₈	—	5	1	no	—
1303	C₂²⋊C₈	—	5	1	no	—
1304	C₂²⋊C₈	—	5	1	no	—
1305	C₂²⋊C₈	—	5	1	no	—
1306	C₂²⋊C₈	—	5	1	no	—
1307	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1308	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1309	#97	—	5	1	no	—
1310	#97	—	5	1	no	—
1311	#97	—	5	1	no	—
1312	#97	C₂²×D₅	1	1	yes	characteristic, complemented
1313	C₄×C₈	—	5	1	no	—
1314	C₄×C₈	—	5	1	no	—
1315	C₄×C₈	—	5	1	no	—
1316	C₄×C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1317	C₂²×C₅	—	2	1	no	—
1318	C₂²×C₅	—	2	1	no	—
1319	C₂²×C₅	—	2	1	no	—
1320	C₂²×C₅	—	2	2	no	—
1321	C₂²×C₅	—	2	2	no	—
1322	C₂²×C₅	—	4	1	no	—
1323	C₂²×C₅	—	4	1	no	—
1324	C₂²×C₅	—	4	1	no	—
1325	C₂²×C₅	—	4	1	no	—
1326	C₂²×C₅	—	4	1	no	—
1327	C₂²×C₅	—	4	1	no	—
1328	C₂²×C₅	—	4	1	no	—
1329	C₂²×C₅	—	8	4	no	—
1330	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1331	C₂×D₅	—	2	1	no	—
1332	C₂×D₅	—	2	1	no	—
1333	C₂×D₅	—	2	1	no	—
1334	C₂×D₅	—	2	1	no	—
1335	C₂×D₅	—	2	1	no	—
1336	C₂×D₅	—	2	2	no	—
1337	C₂×D₅	—	2	2	no	—
1338	C₂×D₅	—	4	8	no	—
1339	C₂×D₅	—	4	8	no	—
1340	C₂×D₅	—	4	4	no	—
1341	C₂×D₅	—	4	1	no	—
1342	C₂×D₅	—	4	1	no	—
1343	C₂×D₅	—	4	1	no	—
1344	C₂×D₅	—	4	1	no	—
1345	C₂×D₅	—	4	1	no	—
1346	C₂×D₅	—	4	1	no	—
1347	C₂×D₅	—	4	1	no	—
1348	C₂×D₅	—	8	4	no	—
1349	C₂×D₅	—	8	4	no	—
1350	C₂×D₅	—	8	4	no	—
1351	C₂×D₅	#525	1	2	yes	—
1352	C₄×C₅	—	2	1	no	—
1353	C₄×C₅	—	2	1	no	—
1354	C₄×C₅	—	2	1	no	—
1355	C₄×C₅	—	2	1	no	—
1356	C₄×C₅	—	2	1	no	—
1357	C₄×C₅	—	4	1	no	—
1358	C₄×C₅	—	4	1	no	—
1359	C₄×C₅	—	4	1	no	—
1360	C₄×C₅	—	4	1	no	—
1361	C₄×C₅	—	4	1	no	—
1362	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1363	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1364	Dic₅	—	2	1	no	—
1365	Dic₅	—	2	1	no	—
1366	Dic₅	—	2	1	no	—
1367	Dic₅	—	2	1	no	—
1368	Dic₅	—	2	1	no	—
1369	Dic₅	—	4	1	no	—
1370	Dic₅	—	4	1	no	—
1371	Dic₅	—	4	1	no	—
1372	Dic₅	—	4	1	no	—
1373	Dic₅	—	4	1	no	—
1374	Dic₅	#525	1	2	yes	—
1375	C₂⁴	—	2	1	no	—
1376	C₂⁴	—	5	1	no	—
1377	C₂⁴	—	10	1	no	—
1378	C₂⁴	—	10	1	no	—
1379	C₂⁴	—	10	1	no	—
1380	C₂⁴	—	10	1	no	—
1381	C₂⁴	—	10	8	no	—
1382	C₂⁴	—	10	1	no	—
1383	C₂⁴	—	40	2	no	—
1384	C₂⁴	—	40	2	no	—
1385	#41	—	10	2	no	—
1386	#41	—	10	2	no	—
1387	#41	—	10	2	no	—
1388	#41	—	10	2	no	—
1389	C₂×Q₈	—	2	1	no	—
1390	C₂×Q₈	—	5	1	no	—
1391	C₂×Q₈	—	10	1	no	—
1392	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1393	C₂×D₄	—	2	2	no	—
1394	C₂×D₄	—	2	2	no	—
1395	C₂×D₄	—	2	1	no	—
1396	C₂×D₄	—	2	1	no	—
1397	C₂×D₄	—	5	4	no	—
1398	C₂×D₄	—	5	4	no	—
1399	C₂×D₄	—	5	1	no	—
1400	C₂×D₄	—	5	1	no	—
1401	C₂×D₄	—	5	1	no	—
1402	C₂×D₄	—	10	2	no	—
1403	C₂×D₄	—	10	2	no	—
1404	C₂×D₄	—	10	1	no	—
1405	C₂×D₄	—	10	1	no	—
1406	C₂×D₄	—	10	2	no	—
1407	C₂×D₄	—	10	2	no	—
1408	C₂×D₄	—	10	1	no	—
1409	C₂×D₄	—	10	1	no	—
1410	C₂×D₄	—	10	1	no	—
1411	C₂×D₄	—	10	1	no	—
1412	C₂×D₄	—	10	1	no	—
1413	C₂×D₄	—	10	1	no	—
1414	C₂×D₄	—	10	2	no	—
1415	C₂×D₄	—	10	2	no	—
1416	C₂×D₄	—	10	8	no	—
1417	C₂×D₄	—	10	8	no	—
1418	C₂×D₄	—	10	8	no	—
1419	C₂×D₄	—	10	2	no	—
1420	C₂×D₄	—	10	2	no	—
1421	C₂×D₄	—	10	1	no	—
1422	C₂×D₄	—	10	1	no	—
1423	C₂×D₄	—	10	1	no	—
1424	C₂×D₄	—	10	1	no	—
1425	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1426	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1427	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1428	C₂²×C₄	—	2	1	no	—
1429	C₂²×C₄	—	2	1	no	—
1430	C₂²×C₄	—	2	1	no	—
1431	C₂²×C₄	—	2	1	no	—
1432	C₂²×C₄	—	2	1	no	—
1433	C₂²×C₄	—	5	1	no	—
1434	C₂²×C₄	—	5	1	no	—
1435	C₂²×C₄	—	5	1	no	—
1436	C₂²×C₄	—	5	1	no	—
1437	C₂²×C₄	—	5	1	no	—
1438	C₂²×C₄	—	5	1	no	—
1439	C₂²×C₄	—	5	1	no	—
1440	C₂²×C₄	—	5	1	no	—
1441	C₂²×C₄	—	5	1	no	—
1442	C₂²×C₄	—	10	2	no	—
1443	C₂²×C₄	—	10	2	no	—
1444	C₂²×C₄	—	10	1	no	—
1445	C₂²×C₄	—	10	1	no	—
1446	C₂²×C₄	—	10	1	no	—
1447	C₂²×C₄	—	10	1	no	—
1448	C₂²×C₄	—	10	1	no	—
1449	C₂²×C₄	—	10	1	no	—
1450	C₂²×C₄	—	10	1	no	—
1451	C₂²×C₄	—	10	1	no	—
1452	C₂²×C₄	—	10	1	no	—
1453	C₂²×C₄	—	10	1	no	—
1454	C₂²×C₄	—	10	1	no	—
1455	C₂²×C₄	—	10	1	no	—
1456	C₂²×C₄	—	10	1	no	—
1457	C₂²×C₄	—	10	1	no	—
1458	C₂²×C₄	—	10	1	no	—
1459	C₂²×C₄	—	10	1	no	—
1460	C₂²×C₄	—	10	1	no	—
1461	C₂²×C₄	—	10	1	no	—
1462	C₂²×C₄	—	10	1	no	—
1463	C₂²×C₄	—	40	2	no	—
1464	C₂²×C₄	—	40	2	no	—
1465	C₂²×C₄	—	40	2	no	—
1466	C₂²×C₄	—	40	2	no	—
1467	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1468	SD₁₆	—	2	2	no	—
1469	SD₁₆	—	2	2	no	—
1470	SD₁₆	—	10	2	no	—
1471	SD₁₆	—	10	2	no	—
1472	SD₁₆	—	10	2	no	—
1473	SD₁₆	—	10	2	no	—
1474	SD₁₆	—	10	2	no	—
1475	SD₁₆	—	10	2	no	—
1476	D₈	—	2	2	no	—
1477	D₈	—	2	2	no	—
1478	D₈	—	10	2	no	—
1479	D₈	—	10	2	no	—
1480	D₈	—	10	2	no	—
1481	D₈	—	10	2	no	—
1482	D₈	—	10	2	no	—
1483	D₈	—	10	2	no	—
1484	M₁₆	—	10	2	no	—
1485	M₁₆	—	10	2	no	—
1486	M₁₆	—	10	2	no	—
1487	M₁₆	—	10	2	no	—
1488	C₂×C₈	—	5	1	no	—
1489	C₂×C₈	—	5	1	no	—
1490	C₂×C₈	—	5	1	no	—
1491	C₂×C₈	—	5	1	no	—
1492	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1493	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1494	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1495	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1496	C₄⋊C₄	—	2	1	no	—
1497	C₄⋊C₄	—	2	1	no	—
1498	C₄⋊C₄	—	2	1	no	—
1499	C₄⋊C₄	—	5	1	no	—
1500	C₄⋊C₄	—	5	1	no	—
1501	C₄⋊C₄	—	5	1	no	—
1502	C₄⋊C₄	—	5	1	no	—
1503	C₄⋊C₄	—	5	1	no	—
1504	C₄⋊C₄	—	5	1	no	—
1505	C₄⋊C₄	—	5	1	no	—
1506	C₄⋊C₄	—	5	1	no	—
1507	C₄⋊C₄	—	5	1	no	—
1508	C₄⋊C₄	—	5	1	no	—
1509	C₄⋊C₄	—	10	1	no	—
1510	C₄⋊C₄	—	10	1	no	—
1511	C₄⋊C₄	—	10	1	no	—
1512	C₄⋊C₄	—	10	1	no	—
1513	C₄⋊C₄	—	10	1	no	—
1514	C₄⋊C₄	—	10	1	no	—
1515	C₄⋊C₄	—	10	1	no	—
1516	C₄⋊C₄	—	10	1	no	—
1517	C₄⋊C₄	—	10	1	no	—
1518	C₄⋊C₄	—	10	1	no	—
1519	C₄⋊C₄	—	10	1	no	—
1520	C₄⋊C₄	—	10	1	no	—
1521	C₄⋊C₄	—	10	1	no	—
1522	C₄⋊C₄	—	10	1	no	—
1523	C₄⋊C₄	—	10	1	no	—
1524	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1525	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1526	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1527	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1528	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1529	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	2	1	no	—
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	2	1	no	—
1538	C₂²⋊C₄	—	2	1	no	—
1539	C₂²⋊C₄	—	2	1	no	—
1540	C₂²⋊C₄	—	5	1	no	—
1541	C₂²⋊C₄	—	5	1	no	—
1542	C₂²⋊C₄	—	5	1	no	—
1543	C₂²⋊C₄	—	5	1	no	—
1544	C₂²⋊C₄	—	5	1	no	—
1545	C₂²⋊C₄	—	5	1	no	—
1546	C₂²⋊C₄	—	10	1	no	—
1547	C₂²⋊C₄	—	10	1	no	—
1548	C₂²⋊C₄	—	10	1	no	—
1549	C₂²⋊C₄	—	10	1	no	—
1550	C₂²⋊C₄	—	10	1	no	—
1551	C₂²⋊C₄	—	10	1	no	—
1552	C₂²⋊C₄	—	10	1	no	—
1553	C₂²⋊C₄	—	10	1	no	—
1554	C₂²⋊C₄	—	10	1	no	—
1555	C₂²⋊C₄	—	10	1	no	—
1556	C₂²⋊C₄	—	10	1	no	—
1557	C₂²⋊C₄	—	10	1	no	—
1558	C₂²⋊C₄	—	10	1	no	—
1559	C₂²⋊C₄	—	10	1	no	—
1560	C₂²⋊C₄	—	10	1	no	—
1561	C₂²⋊C₄	—	10	1	no	—
1562	C₂²⋊C₄	—	10	1	no	—
1563	C₂²⋊C₄	—	10	1	no	—
1564	C₂²⋊C₄	—	10	1	no	—
1565	C₂²⋊C₄	—	10	1	no	—
1566	C₂²⋊C₄	—	10	1	no	—
1567	C₂²⋊C₄	—	10	1	no	—
1568	C₂²⋊C₄	—	10	1	no	—
1569	C₂²⋊C₄	—	10	1	no	—
1570	C₂²⋊C₄	—	10	1	no	—
1571	C₂²⋊C₄	—	10	1	no	—
1572	C₂²⋊C₄	—	10	1	no	—
1573	C₂²⋊C₄	—	10	1	no	—
1574	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1575	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1576	C₄²	—	2	1	no	—
1577	C₄²	—	2	1	no	—
1578	C₄²	—	5	1	no	—
1579	C₄²	—	5	1	no	—
1580	C₄²	—	5	1	no	—
1581	C₄²	—	5	1	no	—
1582	C₄²	—	5	1	no	—
1583	C₄²	—	5	1	no	—
1584	C₄²	—	10	1	no	—
1585	C₄²	—	10	1	no	—
1586	C₄²	—	10	1	no	—
1587	C₄²	—	10	1	no	—
1588	C₄²	—	10	1	no	—
1589	C₄²	—	10	1	no	—
1590	C₄²	—	10	1	no	—
1591	C₄²	—	10	1	no	—
1592	C₄²	C₂³×D₅	1	1	yes	characteristic
1593	C₄²	C₂³×D₅	1	1	yes	characteristic
1594	C₂×C₅	—	4	1	no	—
1595	C₂×C₅	—	4	2	no	—
1596	C₂×C₅	—	4	2	no	—
1597	C₂×C₅	—	8	1	no	—
1598	C₂×C₅	C₂×#525	1	1	yes	characteristic
1599	C₂×C₅	#3585	1	1	yes	characteristic
1600	C₂×C₅	#3585	1	1	yes	characteristic
1601	D₅	—	2	2	no	—
1602	D₅	—	4	1	no	—
1603	D₅	—	4	2	no	—
1604	D₅	—	4	2	no	—
1605	D₅	—	8	1	no	—
1606	C₂³	—	2	4	no	—
1607	C₂³	—	2	1	no	—
1608	C₂³	—	2	1	no	—
1609	C₂³	—	2	1	no	—
1610	C₂³	—	5	1	no	—
1611	C₂³	—	5	1	no	—
1612	C₂³	—	8	1	no	—
1613	C₂³	—	8	1	no	—
1614	C₂³	—	10	2	no	—
1615	C₂³	—	10	4	no	—
1616	C₂³	—	10	4	no	—
1617	C₂³	—	10	4	no	—
1618	C₂³	—	10	4	no	—
1619	C₂³	—	10	4	no	—
1620	C₂³	—	10	1	no	—
1621	C₂³	—	10	1	no	—
1622	C₂³	—	10	1	no	—
1623	C₂³	—	20	1	no	—
1624	C₂³	—	20	1	no	—
1625	C₂³	—	20	2	no	—
1626	C₂³	—	20	2	no	—
1627	C₂³	—	20	2	no	—
1628	C₂³	—	20	2	no	—
1629	C₂³	—	40	1	no	—
1630	C₂³	—	40	1	no	—
1631	C₂³	—	40	1	no	—
1632	C₂³	—	40	1	no	—
1633	C₂³	—	40	1	no	—
1634	C₂³	—	40	1	no	—
1635	C₂³	—	40	16	no	—
1636	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1637	Q₈	—	2	1	no	—
1638	Q₈	—	2	1	no	—
1639	Q₈	—	8	1	no	—
1640	Q₈	—	10	1	no	—
1641	Q₈	—	10	1	no	—
1642	Q₈	—	40	1	no	—
1643	D₄	—	2	4	no	—
1644	D₄	—	2	1	no	—
1645	D₄	—	2	1	no	—
1646	D₄	—	2	1	no	—
1647	D₄	—	2	1	no	—
1648	D₄	—	5	2	no	—
1649	D₄	—	5	2	no	—
1650	D₄	—	8	1	no	—
1651	D₄	—	10	4	no	—
1652	D₄	—	10	4	no	—
1653	D₄	—	10	4	no	—
1654	D₄	—	10	4	no	—
1655	D₄	—	10	4	no	—
1656	D₄	—	10	1	no	—
1657	D₄	—	10	1	no	—
1658	D₄	—	10	1	no	—
1659	D₄	—	10	1	no	—
1660	D₄	—	20	2	no	—
1661	D₄	—	20	2	no	—
1662	D₄	—	40	1	no	—
1663	D₄	—	40	1	no	—
1664	D₄	—	40	1	no	—
1665	D₄	—	40	1	no	—
1666	D₄	—	40	1	no	—
1667	D₄	D₅×#41	1	2	yes	—
1668	D₄	D₅×#41	1	2	yes	—
1669	C₂×C₄	—	2	1	no	—
1670	C₂×C₄	—	2	1	no	—
1671	C₂×C₄	—	2	1	no	—
1672	C₂×C₄	—	2	1	no	—
1673	C₂×C₄	—	2	1	no	—
1674	C₂×C₄	—	2	1	no	—
1675	C₂×C₄	—	2	1	no	—
1676	C₂×C₄	—	5	1	no	—
1677	C₂×C₄	—	5	2	no	—
1678	C₂×C₄	—	5	2	no	—
1679	C₂×C₄	—	5	1	no	—
1680	C₂×C₄	—	5	1	no	—
1681	C₂×C₄	—	5	1	no	—
1682	C₂×C₄	—	5	1	no	—
1683	C₂×C₄	—	5	1	no	—
1684	C₂×C₄	—	8	1	no	—
1685	C₂×C₄	—	8	1	no	—
1686	C₂×C₄	—	8	1	no	—
1687	C₂×C₄	—	8	1	no	—
1688	C₂×C₄	—	8	1	no	—
1689	C₂×C₄	—	10	2	no	—
1690	C₂×C₄	—	10	2	no	—
1691	C₂×C₄	—	10	2	no	—
1692	C₂×C₄	—	10	1	no	—
1693	C₂×C₄	—	10	1	no	—
1694	C₂×C₄	—	10	1	no	—
1695	C₂×C₄	—	10	1	no	—
1696	C₂×C₄	—	10	1	no	—
1697	C₂×C₄	—	10	1	no	—
1698	C₂×C₄	—	10	1	no	—
1699	C₂×C₄	—	20	1	no	—
1700	C₂×C₄	—	20	1	no	—
1701	C₂×C₄	—	20	1	no	—
1702	C₂×C₄	—	20	1	no	—
1703	C₂×C₄	—	20	2	no	—
1704	C₂×C₄	—	20	2	no	—
1705	C₂×C₄	—	20	2	no	—
1706	C₂×C₄	—	20	2	no	—
1707	C₂×C₄	—	40	1	no	—
1708	C₂×C₄	—	40	1	no	—
1709	C₂×C₄	—	40	1	no	—
1710	C₂×C₄	—	40	1	no	—
1711	C₂×C₄	—	40	1	no	—
1712	C₂×C₄	—	40	1	no	—
1713	C₂×C₄	—	40	1	no	—
1714	C₂×C₄	—	40	1	no	—
1715	C₂×C₄	—	40	1	no	—
1716	C₂×C₄	—	40	1	no	—
1717	C₂×C₄	—	40	1	no	—
1718	C₂×C₄	—	40	1	no	—
1719	C₂×C₄	—	40	1	no	—
1720	C₂×C₄	—	40	1	no	—
1721	C₂×C₄	—	40	1	no	—
1722	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1723	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1724	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1725	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1726	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1727	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1728	C₈	—	2	1	no	—
1729	C₈	—	2	1	no	—
1730	C₈	—	2	1	no	—
1731	C₈	—	2	1	no	—
1732	C₈	—	10	1	no	—
1733	C₈	—	10	1	no	—
1734	C₈	—	10	1	no	—
1735	C₈	—	10	1	no	—
1736	C₅	#60564	1	1	yes	characteristic, complemented, Sylow
1737	C₂²	—	2	1	no	—
1738	C₂²	—	2	2	no	—
1739	C₂²	—	2	2	no	—
1740	C₂²	—	2	1	no	—
1741	C₂²	—	2	1	no	—
1742	C₂²	—	4	1	no	—
1743	C₂²	—	4	1	no	—
1744	C₂²	—	4	1	no	—
1745	C₂²	—	4	1	no	—
1746	C₂²	—	4	1	no	—
1747	C₂²	—	4	1	no	—
1748	C₂²	—	4	1	no	—
1749	C₂²	—	5	2	no	—
1750	C₂²	—	8	4	no	—
1751	C₂²	—	10	1	no	—
1752	C₂²	—	10	1	no	—
1753	C₂²	—	10	1	no	—
1754	C₂²	—	10	2	no	—
1755	C₂²	—	10	2	no	—
1756	C₂²	—	10	1	no	—
1757	C₂²	—	10	1	no	—
1758	C₂²	—	20	4	no	—
1759	C₂²	—	20	8	no	—
1760	C₂²	—	20	8	no	—
1761	C₂²	—	20	1	no	—
1762	C₂²	—	20	1	no	—
1763	C₂²	—	20	1	no	—
1764	C₂²	—	20	1	no	—
1765	C₂²	—	20	1	no	—
1766	C₂²	—	20	1	no	—
1767	C₂²	—	20	1	no	—
1768	C₂²	—	40	4	no	—
1769	C₂²	—	40	4	no	—
1770	C₂²	—	40	4	no	—
1771	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1772	C₄	—	2	1	no	—
1773	C₄	—	2	1	no	—
1774	C₄	—	2	1	no	—
1775	C₄	—	2	1	no	—
1776	C₄	—	2	1	no	—
1777	C₄	—	4	1	no	—
1778	C₄	—	4	1	no	—
1779	C₄	—	4	1	no	—
1780	C₄	—	4	1	no	—
1781	C₄	—	4	1	no	—
1782	C₄	—	5	2	no	—
1783	C₄	—	10	1	no	—
1784	C₄	—	10	1	no	—
1785	C₄	—	10	1	no	—
1786	C₄	—	10	1	no	—
1787	C₄	—	10	1	no	—
1788	C₄	—	20	1	no	—
1789	C₄	—	20	1	no	—
1790	C₄	—	20	1	no	—
1791	C₄	—	20	1	no	—
1792	C₄	—	20	1	no	—
1793	C₄	C₂×D₅×#41	1	1	yes	characteristic
1794	C₄	C₂×D₅×#41	1	1	yes	characteristic
1795	C₂	—	4	1	no	—
1796	C₂	—	4	2	no	—
1797	C₂	—	4	2	no	—
1798	C₂	—	8	1	no	—
1799	C₂	—	10	2	no	—
1800	C₂	—	20	1	no	—
1801	C₂	—	20	2	no	—
1802	C₂	—	20	2	no	—
1803	C₂	—	40	1	no	—
1804	C₂	D₅×#525	1	1	yes	characteristic
1805	C₂	#10619105	1	1	yes	characteristic
1806	C₂	#10619108	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×#3118	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3118	D₅
hypocenter	C₅	#60564
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3118

Complements

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

N	H ≅ G/N	type
1. #10618424	C₂	semidirect
2. D₅×#518	C₂	semidirect
3. C₅×#3118	C₂	semidirect
4. #10615191	C₂	semidirect
5. #10614272	C₂	semidirect
6. #10613247	C₂	semidirect
7. #10613229	C₂	semidirect
8. #10613103	C₂	semidirect
9. #10613085	C₂	semidirect
10. #10612791	C₂	semidirect
11. #10612779	C₂	semidirect
12. #10612696	C₂	semidirect
13. #10612683	C₂	semidirect
14. #10612265	C₂	semidirect
15. #10612265	C₂	semidirect
16. #10612240	C₂	semidirect
17. #10612239	C₂	semidirect
18. #10611877	C₂	semidirect
19. #10611868	C₂	semidirect
20. #10611733	C₂	semidirect
21. #10611724	C₂	semidirect
22. #10611605	C₂	semidirect
23. #10611596	C₂	semidirect
24. #10611518	C₂	semidirect
25. #10611504	C₂	semidirect
26. #10611390	C₂	semidirect
27. C₄×#4060	C₂	semidirect
28. #10611327	C₂	semidirect
29. C₄×#4057	C₂	semidirect
30. #10611114	C₂	semidirect
31. #10611102	C₂	semidirect
33. C₅×#542	C₂²	semidirect
40. #66067	C₂²	semidirect
41. #66062	C₂²	semidirect
44. #66016	C₂²	semidirect
47. #66002	C₂²	semidirect
52. #65959	C₂²	semidirect
54. #65953	C₂²	semidirect
56. #65917	C₂²	semidirect
57. C₄×#713	C₂²	semidirect
58. #65896	C₂²	semidirect
71. C₄×#711	C₂²	semidirect
72. #65868	C₂²	semidirect
81. C₅×#485	C₂²	semidirect
82. C₅×#482	C₂²	semidirect
83. C₅×#476	C₂²	semidirect
84. C₅×#474	C₂²	semidirect
85. C₅×#463	C₂²	semidirect
86. C₅×#463	C₂²	semidirect
89. C₅×#442	C₂²	semidirect
90. C₅×#440	C₂²	semidirect
91. C₄×C₅×SD₁₆	C₂²	semidirect
92. C₄×C₅×D₈	C₂²	semidirect
93. C₅×#433	C₂²	semidirect
98. #65453	C₂²	semidirect
99. #65451	C₂²	semidirect
100. #65451	C₂²	semidirect
101. SD₁₆×Dic₅	C₂²	semidirect
104. #65441	C₂²	semidirect
105. #65439	C₂²	semidirect
106. #65439	C₂²	semidirect
107. D₈×Dic₅	C₂²	semidirect
108. #65376	C₂²	semidirect
109. #65373	C₂²	semidirect
110. #65346	C₂²	semidirect
111. #65346	C₂²	semidirect
113. #65334	C₂²	semidirect
115. #65324	C₂²	semidirect
116. #65315	C₂²	semidirect
117. C₄×#688	C₂²	semidirect
118. #65307	C₂²	semidirect
119. C₄×#687	C₂²	semidirect
120. #65305	C₂²	semidirect
121. #65305	C₂²	semidirect
122. #65303	C₂²	semidirect
123. #65303	C₂²	semidirect
124. C₄×#686	C₂²	semidirect
125. C₄×#686	C₂²	semidirect
126. #65297	C₂²	semidirect
127. #65296	C₂²	semidirect
128. #65292	C₂²	semidirect
129. #65289	C₂²	semidirect
130. #65285	C₂²	semidirect
131. #65180	C₂²	semidirect
132. #65180	C₂²	semidirect
133. #65178	C₂²	semidirect
134. #65177	C₂²	semidirect
135. #65174	C₂²	semidirect
136. #65170	C₂²	semidirect
137. #65170	C₂²	semidirect
138. #65161	C₂²	semidirect
139. #65160	C₂²	semidirect
140. #65160	C₂²	semidirect
141. #65158	C₂²	semidirect
142. #65156	C₂²	semidirect
143. #65155	C₂²	semidirect
144. #65150	C₂²	semidirect
145. #65150	C₂²	semidirect
146. #65141	C₂²	semidirect
147. #65135	C₂²	semidirect
148. #65133	C₂²	semidirect
149. #65133	C₂²	semidirect
150. #65131	C₂²	semidirect
151. #65129	C₂²	semidirect
152. #65129	C₂²	semidirect
153. #65126	C₂²	semidirect
154. #65126	C₂²	semidirect
155. #65107	C₂²	semidirect
156. #65107	C₂²	semidirect
157. #65106	C₂²	semidirect
158. #65104	C₂²	semidirect
159. #65103	C₂²	semidirect
160. #65092	C₂²	semidirect
161. #65092	C₂²	semidirect
162. #65077	C₂²	semidirect
163. #65075	C₂²	semidirect
164. #65075	C₂²	semidirect
165. #65074	C₂²	semidirect
166. #65074	C₂²	semidirect
167. #65073	C₂²	semidirect
168. #65068	C₂²	semidirect
173. #65060	C₂²	semidirect
174. #65060	C₂²	semidirect
179. #65055	C₂²	semidirect
180. #65055	C₂²	semidirect
181. #65052	C₂²	semidirect
182. #65052	C₂²	semidirect
183. #65047	C₂²	semidirect
184. #65046	C₂²	semidirect
185. #65045	C₂²	semidirect
186. #65045	C₂²	semidirect
187. #65026	C₂²	semidirect
192. #65012	C₂²	semidirect
193. #65009	C₂²	semidirect
194. #65009	C₂²	semidirect
195. #65000	C₂²	semidirect
196. #64999	C₂²	semidirect
197. #64998	C₂²	semidirect
198. #64996	C₂²	semidirect
199. C₄×D₄₀	C₂²	semidirect
200. C₄×#677	C₂²	semidirect
201. #64979	C₂²	semidirect
202. C₄×#676	C₂²	semidirect
227. C₅×C₄⋊Q₈	C₂³	semidirect
230. C₅×#124	C₂³	semidirect
235. C₄×C₅×Q₈	C₂³	semidirect
242. C₄×C₅×D₄	C₂³	semidirect
254. Q₈×Dic₅	C₂³	semidirect
255. #4090	C₂³	semidirect
258. #4086	C₂³	semidirect
270. D₄×Dic₅	C₂³	semidirect
326. #4039	C₂³	semidirect
339. #4036	C₂³	semidirect
340. #4036	C₂³	semidirect
344. #4033	C₂³	semidirect
394. #4021	C₂³	semidirect
402. C₄×D₂₀	C₂³	semidirect
411. #4015	C₂³	semidirect
412. C₄×Dic₁₀	C₂³	semidirect
413. C₅×#107	C₂³	semidirect
414. C₅×#107	C₂³	semidirect
415. C₅×#106	C₂³	semidirect
416. C₅×#106	C₂³	semidirect
417. C₅×C₄⋊C₈	C₂³	semidirect
418. C₅×C₄⋊C₈	C₂³	semidirect
419. C₅×#103	C₂³	semidirect
420. C₅×#103	C₂³	semidirect
425. C₅×#102	C₂³	semidirect
426. C₅×#102	C₂³	semidirect
429. C₅×#97	C₂³	semidirect
430. C₄×C₅×C₈	C₂³	semidirect
431. #3967	C₂³	semidirect
432. #3967	C₂³	semidirect
437. #3964	C₂³	semidirect
438. #3964	C₂³	semidirect
445. #3953	C₂³	semidirect
446. #3953	C₂³	semidirect
451. #3950	C₂³	semidirect
452. #3950	C₂³	semidirect
453. #3949	C₂³	semidirect
454. #3949	C₂³	semidirect
455. #3948	C₂³	semidirect
456. #3948	C₂³	semidirect
457. #3947	C₂³	semidirect
458. #3947	C₂³	semidirect
459. #3946	C₂³	semidirect
460. #3946	C₂³	semidirect
461. #3946	C₂³	semidirect
462. #3946	C₂³	semidirect
463. C₈×Dic₅	C₂³	semidirect
464. C₈×Dic₅	C₂³	semidirect
465. #3942	C₂³	semidirect
466. #3942	C₂³	semidirect
471. #3941	C₂³	semidirect
472. #3941	C₂³	semidirect
473. #3940	C₂³	semidirect
474. #3940	C₂³	semidirect
475. #3940	C₂³	semidirect
476. #3940	C₂³	semidirect
477. #3939	C₂³	semidirect
478. #3939	C₂³	semidirect
479. #3939	C₂³	semidirect
480. #3939	C₂³	semidirect
481. C₄⋊#168	C₂³	semidirect
482. C₄⋊#168	C₂³	semidirect
483. #3935	C₂³	semidirect
484. C₄×#168	C₂³	semidirect
502. #3118	D₅	semidirect
743. #542	C₂×D₅	semidirect
791. #485	C₂×D₅	semidirect
799. #482	C₂×D₅	semidirect
811. #476	C₂×D₅	semidirect
815. #474	C₂×D₅	semidirect
822. #463	C₂×D₅	semidirect
823. #463	C₂×D₅	semidirect
855. #442	C₂×D₅	semidirect
863. #440	C₂×D₅	semidirect
871. C₄×SD₁₆	C₂×D₅	semidirect
879. C₄×D₈	C₂×D₅	semidirect
887. #433	C₂×D₅	semidirect
1081. C₄⋊Q₈	C₂²×D₅	semidirect
1102. #124	C₂²×D₅	semidirect
1140. C₄×Q₈	C₂²×D₅	semidirect
1194. C₄×D₄	C₂²×D₅	semidirect
1251. #107	C₂²×D₅	semidirect
1252. #107	C₂²×D₅	semidirect
1259. #106	C₂²×D₅	semidirect
1260. #106	C₂²×D₅	semidirect
1267. C₄⋊C₈	C₂²×D₅	semidirect
1268. C₄⋊C₈	C₂²×D₅	semidirect
1275. #103	C₂²×D₅	semidirect
1276. #103	C₂²×D₅	semidirect
1299. #102	C₂²×D₅	semidirect
1300. #102	C₂²×D₅	semidirect
1312. #97	C₂²×D₅	semidirect
1316. C₄×C₈	C₂²×D₅	semidirect
1736. C₅	#60564	semidirect

Maximal subgroups

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

subgroup	index
#10618424	2
D₅×#518	2
C₅×#3118	2
#10615191	2
#10614272	2
#10613247	2
#10613229	2
#10613103	2
#10613085	2
#10612791	2
#10612779	2
#10612696	2
#10612683	2
#10612265	2
#10612240	2
#10612239	2
#10611877	2
#10611868	2
#10611733	2
#10611724	2
#10611605	2
#10611596	2
#10611518	2
#10611504	2
#10611390	2
C₄×#4060	2
#10611327	2
C₄×#4057	2
#10611114	2
#10611102	2
#60564	5