Subgroups — #12968036

Order 1280.

2274 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	#10618386	C₂	1	1	yes	maximal, characteristic, complemented
2	D₅×#518	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3122	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615166	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614272	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613104	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613102	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613085	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613083	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612900	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612899	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612874	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612872	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612065	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612065	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612045	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612043	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611733	C₂	1	1	yes	maximal, characteristic, complemented
19	D₅×#447	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611724	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611723	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611602	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611600	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611598	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611597	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611323	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611321	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611319	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611318	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611114	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611105	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
33	C₅×#540	C₂²	1	1	yes	characteristic, complemented
34	C₅×#518	C₂²	1	1	yes	characteristic, complemented
35	#66132	C₂²	1	1	yes	characteristic, complemented
36	C₂×#4057	C₂²	1	1	yes	characteristic
37	C₂×#4057	C₂²	1	1	yes	characteristic
38	C₂×D₅×D₈	C₂²	1	1	yes	characteristic
39	C₂×D₅×D₈	C₂²	1	1	yes	characteristic
40	#66050	C₂²	1	1	yes	characteristic, complemented
41	#66049	C₂²	1	1	yes	characteristic, complemented
42	#66025	C₂²	1	1	yes	characteristic, complemented
43	#66023	C₂²	1	1	yes	characteristic, complemented
44	#65995	—	2	1	no	—
45	#65993	—	2	1	no	—
46	#65992	—	2	1	no	—
47	#65989	—	2	1	no	—
48	#65953	C₂²	1	1	yes	characteristic, complemented
49	#65950	—	2	1	no	—
50	#65946	—	2	1	no	—
51	#65944	—	2	1	no	—
52	#65940	C₂²	1	1	yes	characteristic
53	D₅×#121	C₂²	1	1	yes	characteristic
54	#65937	C₂²	1	1	yes	characteristic, complemented
55	#65935	—	2	1	no	—
56	#65891	C₂²	1	1	yes	characteristic, complemented
57	#65882	C₂²	1	1	yes	characteristic, complemented
58	#65880	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	#65879	C₂²	1	1	yes	characteristic, complemented
66	C₄×D₄×D₅	—	2	1	no	—
67	C₄×D₄×D₅	—	2	1	no	—
68	C₄×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
69	C₄×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
70	C₄×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
71	C₄×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
72	#65868	C₂²	1	1	yes	characteristic, complemented
73	#65855	C₂²	1	1	yes	characteristic, complemented
74	#65855	C₂²	1	1	yes	characteristic, complemented
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×#482	C₂²	1	1	yes	characteristic, complemented
82	C₅×#482	C₂²	1	1	yes	characteristic, complemented
83	C₅×#478	C₂²	1	1	yes	characteristic, complemented
84	C₅×#478	C₂²	1	1	yes	characteristic, complemented
85	C₅×#459	C₂²	1	1	yes	characteristic, complemented
86	C₅×#459	C₂²	1	1	yes	characteristic, complemented
87	C₅×#447	C₂²	1	1	yes	characteristic
88	C₅×#447	C₂²	1	1	yes	characteristic, complemented
89	C₅×#442	C₂²	1	1	yes	characteristic, complemented
90	C₅×#442	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₅×D₈	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, complemented
95	#65506	C₂²	1	1	yes	characteristic
96	#65445	C₂²	1	1	yes	characteristic
97	#65445	C₂²	1	1	yes	characteristic
98	#65445	C₂²	1	1	yes	characteristic, complemented
99	#65445	C₂²	1	1	yes	characteristic, complemented
100	#65442	C₂²	1	1	yes	characteristic, complemented
101	#65442	C₂²	1	1	yes	characteristic, complemented
102	#65441	C₂²	1	1	yes	characteristic, complemented
103	#65441	C₂²	1	1	yes	characteristic, complemented
104	#65439	C₂²	1	1	yes	characteristic, complemented
105	#65439	C₂²	1	1	yes	characteristic, complemented
106	D₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
107	D₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
108	#65361	C₂²	1	1	yes	characteristic, complemented
109	#65361	C₂²	1	1	yes	characteristic, complemented
110	#65355	C₂²	1	1	yes	characteristic, complemented
111	#65355	C₂²	1	1	yes	characteristic, complemented
112	#65325	C₂²	1	1	yes	characteristic
113	#65325	C₂²	1	1	yes	characteristic, complemented
114	#65324	C₂²	1	1	yes	characteristic, complemented
115	#65324	C₂²	1	1	yes	characteristic, complemented
116	#65307	C₂²	1	1	yes	characteristic, complemented
117	C₄×#687	C₂²	1	1	yes	characteristic, complemented
118	#65305	C₂²	1	1	yes	characteristic, complemented
119	#65305	C₂²	1	1	yes	characteristic, complemented
120	#65303	C₂²	1	1	yes	characteristic, complemented
121	#65303	C₂²	1	1	yes	characteristic, complemented
122	#65303	C₂²	1	1	yes	characteristic, complemented
123	C₄×#686	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	#65179	C₂²	1	1	yes	characteristic, complemented
133	#65178	C₂²	1	1	yes	characteristic, complemented
134	#65173	C₂²	1	1	yes	characteristic, complemented
135	#65171	C₂²	1	1	yes	characteristic, complemented
136	#65170	C₂²	1	1	yes	characteristic, complemented
137	#65169	C₂²	1	1	yes	characteristic, complemented
138	#65161	C₂²	1	1	yes	characteristic, complemented
139	#65160	C₂²	1	1	yes	characteristic, complemented
140	#65159	C₂²	1	1	yes	characteristic, complemented
141	#65158	C₂²	1	1	yes	characteristic, complemented
142	#65152	C₂²	1	1	yes	characteristic, complemented
143	#65151	C₂²	1	1	yes	characteristic, complemented
144	#65150	C₂²	1	1	yes	characteristic, complemented
145	#65149	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	#65128	C₂²	1	1	yes	characteristic, complemented
152	#65128	C₂²	1	1	yes	characteristic, complemented
153	#65124	C₂²	1	1	yes	characteristic, complemented
154	#65122	C₂²	1	1	yes	characteristic, complemented
155	#65076	C₂²	1	1	yes	characteristic, complemented
156	#65076	C₂²	1	1	yes	characteristic, complemented
157	#65075	C₂²	1	1	yes	characteristic, complemented
158	#65075	C₂²	1	1	yes	characteristic, complemented
159	#65074	C₂²	1	1	yes	characteristic, complemented
160	#65074	C₂²	1	1	yes	characteristic, complemented
161	#65074	C₂²	1	1	yes	characteristic, complemented
162	#65066	C₂²	1	1	yes	characteristic, complemented
163	#65066	C₂²	1	1	yes	characteristic, complemented
164	#65065	C₂²	1	1	yes	characteristic, complemented
165	#65065	C₂²	1	1	yes	characteristic, complemented
166	#65063	C₂²	1	1	yes	characteristic, complemented
167	#65063	C₂²	1	1	yes	characteristic, complemented
168	#65062	C₂²	1	1	yes	characteristic
169	#65062	C₂²	1	1	yes	characteristic
170	#65061	C₂²	1	1	yes	characteristic, complemented
171	#65061	C₂²	1	1	yes	characteristic, complemented
172	#65059	C₂²	1	1	yes	characteristic
173	#65059	C₂²	1	1	yes	characteristic
174	#65059	C₂²	1	1	yes	characteristic, complemented
175	#65059	C₂²	1	1	yes	characteristic, complemented
176	D₅×#102	C₂²	1	1	yes	characteristic
177	D₅×#102	C₂²	1	1	yes	characteristic
178	#65055	C₂²	1	1	yes	characteristic, complemented
179	#65052	C₂²	1	1	yes	characteristic, complemented
180	#65050	C₂²	1	1	yes	characteristic, complemented
181	#65048	C₂²	1	1	yes	characteristic, complemented
182	#65047	C₂²	1	1	yes	characteristic, complemented
183	#65046	C₂²	1	1	yes	characteristic, complemented
184	#65045	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, complemented
190	#65015	C₂²	1	1	yes	characteristic
191	D₅×C₂²⋊C₈	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	#64997	C₂²	1	1	yes	characteristic, complemented
198	#64994	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	#64978	C₂²	1	1	yes	characteristic, complemented
202	#64974	C₂²	1	1	yes	characteristic, complemented
203	#60578	—	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×#711	—	2	1	no	—
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	—	2	1	no	—
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	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
218	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
219	C₂×#709	—	2	1	no	—
220	C₂²×D₂₀	C₂³	1	1	yes	characteristic
221	C₂²×C₄×D₅	—	2	1	no	—
222	C₂²×C₄×D₅	—	2	1	no	—
223	C₂²×C₄×D₅	—	2	1	no	—
224	C₂²×C₄×D₅	—	2	1	no	—
225	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
226	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
227	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
228	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
229	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
230	C₅×#127	C₂³	1	1	yes	characteristic, complemented
231	C₅×#125	C₂³	1	1	yes	characteristic, complemented
232	C₅×#123	—	2	1	no	—
233	C₅×#123	—	2	1	no	—
234	C₅×#121	—	2	1	no	—
235	C₅×#121	—	2	1	no	—
236	C₅×#121	C₂³	1	1	yes	characteristic
237	C₅×#121	C₂³	1	1	yes	characteristic
238	C₄×C₅×D₄	—	2	1	no	—
239	C₄×C₅×D₄	—	2	1	no	—
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
243	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
244	C₄×C₅×D₄	C₂³	1	1	yes	characteristic, complemented
245	C₄×C₅×D₄	C₂³	1	1	yes	characteristic, complemented
246	C₅×#117	C₂³	1	1	yes	characteristic
247	C₅×#117	C₂³	1	1	yes	characteristic
248	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
249	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
250	C₂×C₂²⋊Dic₅	—	2	1	no	—
251	C₂×C₂²⋊Dic₅	—	2	1	no	—
252	#4086	C₂³	1	1	yes	characteristic, complemented
253	#4085	—	2	1	no	—
254	#4085	—	2	1	no	—
255	#4085	—	2	1	no	—
256	#4085	—	2	1	no	—
257	#4084	—	2	1	no	—
258	#4084	—	2	1	no	—
259	#4084	C₂³	1	1	yes	characteristic
260	#4084	C₂³	1	1	yes	characteristic
261	#4083	—	2	1	no	—
262	#4083	—	2	1	no	—
263	#4083	—	2	1	no	—
264	#4082	—	2	1	no	—
265	#4082	—	2	1	no	—
266	#4082	C₂³	1	1	yes	characteristic, complemented
267	#4081	—	2	1	no	—
268	D₄×Dic₅	—	2	1	no	—
269	D₄×Dic₅	—	2	1	no	—
270	D₄×Dic₅	—	2	1	no	—
271	D₄×Dic₅	—	2	1	no	—
272	D₄×Dic₅	C₂³	1	1	yes	characteristic
273	D₄×Dic₅	C₂³	1	1	yes	characteristic
274	D₄×Dic₅	C₂³	1	1	yes	characteristic
275	D₄×Dic₅	C₂³	1	1	yes	characteristic
276	D₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
277	D₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
278	C₂×#687	C₂³	1	1	yes	characteristic
279	C₂×#687	C₂³	1	1	yes	characteristic
280	C₂×#686	C₂³	1	1	yes	characteristic
281	C₂×#686	C₂³	1	1	yes	characteristic
282	C₂×#686	C₂³	1	1	yes	characteristic
283	C₂×#686	C₂³	1	1	yes	characteristic
284	C₂×#686	C₂³	1	1	yes	characteristic
285	C₂×#686	C₂³	1	1	yes	characteristic
286	#4076	C₂³	1	1	yes	characteristic
287	C₄×C₂²⋊D₅	—	2	1	no	—
288	C₄×C₂²⋊D₅	—	2	1	no	—
289	C₄×C₂²⋊D₅	—	2	1	no	—
290	C₄×C₂²⋊D₅	—	2	1	no	—
291	C₄×C₂²⋊D₅	—	2	1	no	—
292	C₄×C₂²⋊D₅	—	2	1	no	—
293	C₄×C₂²⋊D₅	—	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	—	2	1	no	—
299	C₂×#685	—	2	1	no	—
300	C₂×#685	—	2	1	no	—
301	C₂×#685	—	2	1	no	—
302	C₂×#685	—	2	1	no	—
303	C₂×#685	—	2	1	no	—
304	#4072	—	2	1	no	—
305	#4072	C₂³	1	1	yes	characteristic
306	#4072	C₂³	1	1	yes	characteristic
307	#4070	C₂³	1	1	yes	characteristic
308	C₂×#683	—	2	1	no	—
309	#4057	—	2	4	no	—
310	#4057	—	2	4	no	—
311	D₅×D₈	—	2	4	no	—
312	D₅×D₈	—	2	4	no	—
313	C₂×D₄₀	C₂³	1	1	yes	characteristic
314	C₂×D₄₀	C₂³	1	1	yes	characteristic
315	C₂×#677	C₂³	1	1	yes	characteristic
316	C₂×#677	C₂³	1	1	yes	characteristic
317	C₂×#676	C₂³	1	1	yes	characteristic
318	C₂×#676	C₂³	1	1	yes	characteristic
319	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
320	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
321	#4044	—	2	1	no	—
322	#4044	—	2	1	no	—
323	#4043	—	2	1	no	—
324	#4043	C₂³	1	1	yes	characteristic
325	#4042	—	2	1	no	—
326	#4042	—	2	1	no	—
327	#4041	C₂³	1	1	yes	characteristic
328	#4040	—	2	1	no	—
329	#4039	—	2	1	no	—
330	#4039	—	2	1	no	—
331	#4039	—	2	1	no	—
332	#4039	C₂³	1	1	yes	characteristic
333	#4039	C₂³	1	1	yes	characteristic
334	#4039	C₂³	1	1	yes	characteristic
335	#4039	C₂³	1	1	yes	characteristic
336	#4039	C₂³	1	1	yes	characteristic, complemented
337	#4038	—	2	1	no	—
338	#4038	D₄	1	1	yes	characteristic
339	#4038	D₄	1	1	yes	characteristic
340	#4038	C₂³	1	1	yes	characteristic
341	#4038	C₂³	1	1	yes	characteristic
342	#4038	C₂³	1	1	yes	characteristic
343	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
344	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
345	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
346	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
347	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
348	#4036	C₂³	1	1	yes	characteristic, complemented
349	#4035	—	2	1	no	—
350	#4034	—	2	1	no	—
351	#4034	C₂³	1	1	yes	characteristic, complemented
352	#4033	C₂³	1	1	yes	characteristic, complemented
353	#4032	—	2	1	no	—
354	#4031	—	2	1	no	—
355	#4031	—	2	1	no	—
356	#4030	—	2	1	no	—
357	#4030	—	2	1	no	—
358	#4029	—	2	1	no	—
359	#4029	—	2	1	no	—
360	#4029	—	2	1	no	—
361	#4029	—	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	#4027	—	2	1	no	—
371	#4027	—	2	1	no	—
372	#4027	—	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	—	2	1	no	—
384	D₅×C₂²⋊C₄	—	2	1	no	—
385	D₅×C₂²⋊C₄	—	2	1	no	—
386	D₅×C₂²⋊C₄	—	2	1	no	—
387	D₅×C₂²⋊C₄	—	2	1	no	—
388	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
389	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
390	#4025	—	2	1	no	—
391	#4025	—	2	1	no	—
392	#4024	—	2	1	no	—
393	#4023	—	2	1	no	—
394	#4023	—	2	1	no	—
395	#4023	D₄	1	1	yes	characteristic
396	#4023	D₄	1	1	yes	characteristic
397	#4021	C₂³	1	1	yes	characteristic, complemented
398	C₄×D₂₀	—	2	1	no	—
399	C₄×D₂₀	—	2	1	no	—
400	C₄×D₂₀	C₂³	1	1	yes	characteristic
401	C₄×D₂₀	C₂³	1	1	yes	characteristic
402	C₄×D₂₀	C₂³	1	1	yes	characteristic
403	C₄×D₂₀	C₂³	1	1	yes	characteristic
404	C₄×D₂₀	C₂³	1	1	yes	characteristic, complemented
405	#4018	—	2	1	no	—
406	#4018	C₂³	1	1	yes	characteristic
407	#4018	C₂³	1	1	yes	characteristic
408	C₄²×D₅	—	2	1	no	—
409	C₄²×D₅	C₂³	1	1	yes	characteristic
410	C₄²×D₅	C₂³	1	1	yes	characteristic
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×#102	C₂³	1	1	yes	characteristic
420	C₅×#102	C₂³	1	1	yes	characteristic
421	C₅×#102	C₂³	1	1	yes	characteristic
422	C₅×#102	C₂³	1	1	yes	characteristic
423	C₅×#102	C₂³	1	1	yes	characteristic, complemented
424	C₅×#102	C₂³	1	1	yes	characteristic, complemented
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	#3964	C₂³	1	1	yes	characteristic
432	#3964	C₂³	1	1	yes	characteristic
433	#3964	C₂³	1	1	yes	characteristic
434	#3964	C₂³	1	1	yes	characteristic
435	#3964	C₂³	1	1	yes	characteristic, complemented
436	#3964	C₂³	1	1	yes	characteristic, complemented
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	#3494	—	5	1	no	—
486	C₂×#518	—	5	1	no	—
487	#3122	—	5	1	no	—
488	#3122	—	5	1	no	—
489	#3122	—	5	1	no	—
490	#3122	D₅	1	1	yes	characteristic, complemented
491	#3118	—	5	1	no	—
492	#3118	—	5	1	no	—
493	#3118	—	5	1	no	—
494	#3118	—	5	1	no	—
495	#3114	—	5	1	no	—
496	#3114	—	5	1	no	—
497	#3109	—	5	1	no	—
498	#3109	—	5	1	no	—
499	#3105	—	5	1	no	—
500	#3105	—	5	1	no	—
501	#3100	—	5	1	no	—
502	#3100	—	5	1	no	—
503	#3094	—	5	1	no	—
504	#3091	—	5	1	no	—
505	#3081	—	5	1	no	—
506	#3081	—	5	1	no	—
507	#3041	—	5	1	no	—
508	#3041	—	5	1	no	—
509	#3003	—	5	1	no	—
510	C₂×#447	—	5	1	no	—
511	#2948	—	5	1	no	—
512	#2948	—	5	1	no	—
513	#2946	—	5	1	no	—
514	#2946	—	5	1	no	—
515	#2924	—	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	—	2	1	no	—
524	C₂³×D₅	—	8	2	no	—
525	C₂³×D₅	—	8	2	no	—
526	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
527	C₂×C₅×D₄	—	2	2	no	—
528	C₂×C₅×D₄	—	2	2	no	—
529	C₂×C₅×D₄	—	2	1	no	—
530	C₂×C₅×D₄	—	2	1	no	—
531	C₂×C₅×D₄	—	2	1	no	—
532	C₂×C₅×D₄	—	2	1	no	—
533	C₂×C₅×D₄	—	2	1	no	—
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	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
542	C₂²×C₄×C₅	—	2	1	no	—
543	C₂²×C₄×C₅	—	2	1	no	—
544	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
545	C₂×C₂²⋊D₅	—	2	8	no	—
546	C₂×C₂²⋊D₅	—	2	1	no	—
547	C₂×C₂²⋊D₅	—	2	1	no	—
548	C₂×C₂²⋊D₅	—	2	1	no	—
549	C₂×C₂²⋊D₅	—	2	1	no	—
550	C₂×C₂²⋊D₅	—	2	1	no	—
551	C₂×C₂²⋊D₅	—	2	1	no	—
552	C₂×C₂²⋊D₅	—	2	1	no	—
553	C₂×C₂²⋊D₅	—	2	1	no	—
554	C₂×C₂²⋊D₅	—	2	1	no	—
555	C₂×C₂²⋊D₅	—	2	1	no	—
556	C₂×C₂²⋊D₅	—	2	1	no	—
557	C₂²×Dic₅	—	2	1	no	—
558	C₂²×Dic₅	—	2	1	no	—
559	C₂²×Dic₅	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
565	#711	—	2	2	no	—
566	#711	—	2	2	no	—
567	#711	—	8	2	no	—
568	D₄×D₅	—	2	8	no	—
569	D₄×D₅	—	2	8	no	—
570	D₄×D₅	—	2	2	no	—
571	D₄×D₅	—	2	2	no	—
572	D₄×D₅	—	2	2	no	—
573	D₄×D₅	—	2	2	no	—
574	D₄×D₅	—	2	2	no	—
575	D₄×D₅	—	2	2	no	—
576	D₄×D₅	—	2	2	no	—
577	D₄×D₅	—	2	2	no	—
578	D₄×D₅	—	8	2	no	—
579	D₄×D₅	#41	1	4	yes	complemented
580	D₄×D₅	#41	1	4	yes	complemented
581	#709	—	8	2	no	—
582	C₂×D₂₀	—	2	1	no	—
583	C₂×D₂₀	—	2	2	no	—
584	C₂×D₂₀	—	2	2	no	—
585	C₂×D₂₀	—	2	1	no	—
586	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
587	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
588	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
589	C₂×C₄×D₅	—	2	2	no	—
590	C₂×C₄×D₅	—	2	2	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	—	2	1	no	—
596	C₂×C₄×D₅	—	2	1	no	—
597	C₂×C₄×D₅	—	2	1	no	—
598	C₂×C₄×D₅	—	2	1	no	—
599	C₂×C₄×D₅	—	2	1	no	—
600	C₂×C₄×D₅	—	2	1	no	—
601	C₂×C₄×D₅	—	2	1	no	—
602	C₂×C₄×D₅	—	2	1	no	—
603	C₂×C₄×D₅	—	2	1	no	—
604	C₂×C₄×D₅	—	8	2	no	—
605	C₂×C₄×D₅	—	8	2	no	—
606	C₂×C₄×D₅	—	8	2	no	—
607	C₂×C₄×D₅	—	8	2	no	—
608	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
609	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
610	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
615	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
616	C₂×Dic₁₀	—	2	1	no	—
617	C₂×Dic₁₀	—	2	1	no	—
618	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
619	C₅×D₈	—	2	2	no	—
620	C₅×D₈	—	2	2	no	—
621	C₅×D₈	—	2	2	no	—
622	C₅×D₈	—	2	2	no	—
623	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
624	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
625	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
626	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
627	C₅×C₄⋊C₄	—	2	1	no	—
628	C₅×C₄⋊C₄	—	2	1	no	—
629	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
630	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
631	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
632	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
633	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
634	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
635	C₅×C₂²⋊C₄	—	2	1	no	—
636	C₅×C₂²⋊C₄	—	2	1	no	—
637	C₅×C₂²⋊C₄	—	2	1	no	—
638	C₅×C₂²⋊C₄	—	2	1	no	—
639	C₅×C₂²⋊C₄	—	2	1	no	—
640	C₅×C₂²⋊C₄	—	2	1	no	—
641	C₅×C₂²⋊C₄	—	2	1	no	—
642	C₅×C₂²⋊C₄	—	2	1	no	—
643	C₅×C₂²⋊C₄	—	2	1	no	—
644	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
645	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
646	C₄²×C₅	—	2	1	no	—
647	C₄²×C₅	C₂⁴	1	1	yes	characteristic
648	C₄²×C₅	C₂⁴	1	1	yes	characteristic
649	C₂²⋊Dic₅	—	2	1	no	—
650	C₂²⋊Dic₅	—	2	1	no	—
651	C₂²⋊Dic₅	—	2	1	no	—
652	C₂²⋊Dic₅	—	2	1	no	—
653	C₂²⋊Dic₅	—	2	1	no	—
654	C₂²⋊Dic₅	—	2	1	no	—
655	C₂²⋊Dic₅	—	2	1	no	—
656	C₂²⋊Dic₅	—	2	1	no	—
657	C₂²⋊Dic₅	—	2	1	no	—
658	C₂²⋊Dic₅	—	2	1	no	—
659	C₂²⋊Dic₅	—	2	1	no	—
660	C₂²⋊Dic₅	—	2	1	no	—
661	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
662	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
663	#687	—	2	2	no	—
664	#687	—	2	2	no	—
665	#686	—	2	2	no	—
666	#686	—	2	2	no	—
667	#686	—	2	2	no	—
668	#686	—	2	2	no	—
669	#686	—	2	2	no	—
670	#686	—	2	2	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	—	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	C₂×D₄	1	1	yes	characteristic
690	#685	C₂×D₄	1	1	yes	characteristic
691	#685	C₂×D₄	1	1	yes	characteristic
692	#685	C₂×D₄	1	1	yes	characteristic
693	C₄⋊Dic₅	—	2	1	no	—
694	C₄⋊Dic₅	—	2	1	no	—
695	C₄⋊Dic₅	—	2	1	no	—
696	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
697	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
698	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
699	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
700	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
701	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
702	#683	—	2	1	no	—
703	#683	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
711	#683	C₂×D₄	1	1	yes	characteristic
712	#683	C₂×D₄	1	1	yes	characteristic
713	#683	C₂×D₄	1	1	yes	characteristic
714	C₄×Dic₅	—	2	1	no	—
715	C₄×Dic₅	—	2	1	no	—
716	C₄×Dic₅	—	2	1	no	—
717	C₄×Dic₅	—	2	1	no	—
718	C₄×Dic₅	—	2	1	no	—
719	C₄×Dic₅	—	2	1	no	—
720	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
721	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
722	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
723	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
724	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
725	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
726	C₂×#168	C₂⁴	1	1	yes	characteristic
727	C₂×#168	C₂⁴	1	1	yes	characteristic
728	C₂×#168	C₂⁴	1	1	yes	characteristic
729	C₂×#168	C₂⁴	1	1	yes	characteristic
730	D₄₀	—	2	2	no	—
731	D₄₀	—	2	2	no	—
732	#677	—	2	2	no	—
733	#677	—	2	2	no	—
734	#676	—	2	2	no	—
735	#676	—	2	2	no	—
736	C₈×D₅	—	2	2	no	—
737	C₈×D₅	—	2	2	no	—
738	C₂³×D₄	—	5	1	no	—
739	C₂×AGL(1,ℤ/8)	—	5	1	no	—
740	C₂×AGL(1,ℤ/8)	—	5	1	no	—
741	C₂²×D₈	—	5	1	no	—
742	C₂²×D₈	—	5	1	no	—
743	#555	—	10	1	no	—
744	#553	—	10	1	no	—
745	#553	—	10	1	no	—
746	#551	—	10	1	no	—
747	#551	—	10	1	no	—
748	#547	—	10	1	no	—
749	#546	—	10	1	no	—
750	#546	—	10	1	no	—
751	#544	—	5	1	no	—
752	#542	—	5	1	no	—
753	#542	—	5	1	no	—
754	#540	—	5	1	no	—
755	#540	C₂×D₅	1	1	yes	characteristic, complemented
756	#535	—	5	1	no	—
757	#532	—	5	1	no	—
758	#532	—	5	1	no	—
759	#529	—	5	1	no	—
760	#529	—	5	1	no	—
761	#525	—	5	1	no	—
762	C₂×#121	—	5	1	no	—
763	#520	—	5	1	no	—
764	#518	—	5	1	no	—
765	#518	—	5	1	no	—
766	#518	—	5	1	no	—
767	#518	—	5	1	no	—
768	#518	—	5	1	no	—
769	#518	—	5	1	no	—
770	#518	—	5	1	no	—
771	#518	—	5	1	no	—
772	#518	—	10	1	no	—
773	#518	—	10	1	no	—
774	#518	—	10	1	no	—
775	#518	—	10	1	no	—
776	#518	C₂×D₅	1	1	yes	characteristic, complemented
777	C₂×C₄×D₄	—	5	1	no	—
778	C₂×C₄×D₄	—	5	1	no	—
779	C₂×C₄×D₄	—	5	1	no	—
780	C₂×C₄×D₄	—	5	1	no	—
781	C₂×C₄×D₄	—	10	1	no	—
782	C₂×C₄×D₄	—	10	1	no	—
783	C₂×#117	—	5	1	no	—
784	C₂×#117	—	5	1	no	—
785	C₂²×C₂²⋊C₄	—	10	1	no	—
786	C₂²×C₂²⋊C₄	—	10	1	no	—
787	#485	—	5	1	no	—
788	#485	—	5	1	no	—
789	#484	—	5	1	no	—
790	#483	—	5	1	no	—
791	#482	—	5	1	no	—
792	#482	—	5	1	no	—
793	#482	—	5	1	no	—
794	#482	—	5	1	no	—
795	#482	C₂×D₅	1	1	yes	characteristic, complemented
796	#482	C₂×D₅	1	1	yes	characteristic, complemented
797	#481	—	5	1	no	—
798	#481	—	5	1	no	—
799	#481	—	5	1	no	—
800	#480	—	5	1	no	—
801	#480	—	5	1	no	—
802	#480	—	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	#478	—	5	1	no	—
809	#478	C₂×D₅	1	1	yes	characteristic, complemented
810	#478	C₂×D₅	1	1	yes	characteristic, complemented
811	#476	—	5	1	no	—
812	#476	—	5	1	no	—
813	#476	—	5	1	no	—
814	#476	—	5	1	no	—
815	#474	—	5	1	no	—
816	#474	—	5	1	no	—
817	#474	—	5	1	no	—
818	#474	—	5	1	no	—
819	#463	—	5	1	no	—
820	#463	—	5	1	no	—
821	#463	—	5	1	no	—
822	#463	—	5	1	no	—
823	#463	—	5	1	no	—
824	#463	—	5	1	no	—
825	#463	—	5	1	no	—
826	#463	—	5	1	no	—
827	#459	—	5	1	no	—
828	#459	—	5	1	no	—
829	#459	—	5	1	no	—
830	#459	—	5	1	no	—
831	#459	—	5	1	no	—
832	#459	—	5	1	no	—
833	#459	C₂×D₅	1	1	yes	characteristic, complemented
834	#459	C₂×D₅	1	1	yes	characteristic, complemented
835	#450	—	5	1	no	—
836	#450	—	5	1	no	—
837	#450	—	5	1	no	—
838	#450	—	5	1	no	—
839	#447	—	5	1	no	—
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	—	5	1	no	—
848	#447	—	5	1	no	—
849	#447	C₂×D₅	1	1	yes	characteristic
850	#447	C₂×D₅	1	1	yes	characteristic, complemented
851	#442	—	5	1	no	—
852	#442	—	5	1	no	—
853	#442	—	5	1	no	—
854	#442	—	5	1	no	—
855	#442	—	5	1	no	—
856	#442	—	5	1	no	—
857	#442	—	5	1	no	—
858	#442	—	5	1	no	—
859	#442	—	5	1	no	—
860	#442	—	5	1	no	—
861	#442	C₂×D₅	1	1	yes	characteristic, complemented
862	#442	C₂×D₅	1	1	yes	characteristic, complemented
863	#440	—	5	1	no	—
864	#440	—	5	1	no	—
865	#440	—	5	1	no	—
866	#440	—	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×D₈	—	5	1	no	—
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	—	5	1	no	—
880	C₄×D₈	—	5	1	no	—
881	C₄×D₈	C₂×D₅	1	1	yes	characteristic, complemented
882	C₄×D₈	C₂×D₅	1	1	yes	characteristic, complemented
883	#433	—	5	1	no	—
884	#433	—	5	1	no	—
885	#433	—	5	1	no	—
886	#433	C₂×D₅	1	1	yes	characteristic, complemented
887	#432	—	5	1	no	—
888	#432	—	5	1	no	—
889	#431	—	5	1	no	—
890	#431	—	5	1	no	—
891	#428	—	5	1	no	—
892	#428	—	5	1	no	—
893	#427	—	5	1	no	—
894	#427	—	5	1	no	—
895	#424	—	5	1	no	—
896	#424	—	5	1	no	—
897	#418	—	5	1	no	—
898	#418	—	5	1	no	—
899	#418	—	5	1	no	—
900	#418	—	5	1	no	—
901	#416	—	5	1	no	—
902	#416	—	5	1	no	—
903	C₂×#102	—	5	1	no	—
904	C₂×#102	—	5	1	no	—
905	#407	—	5	1	no	—
906	C₂×C₂²⋊C₈	—	5	1	no	—
907	#405	—	5	1	no	—
908	#405	—	5	1	no	—
909	C₂³×C₅	—	2	4	no	—
910	C₂³×C₅	—	2	1	no	—
911	C₂³×C₅	—	2	1	no	—
912	C₂³×C₅	—	2	1	no	—
913	C₂³×C₅	—	2	1	no	—
914	C₂³×C₅	—	8	1	no	—
915	C₂³×C₅	—	8	1	no	—
916	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
917	C₂²×D₅	—	2	4	no	—
918	C₂²×D₅	—	2	4	no	—
919	C₂²×D₅	—	2	1	no	—
920	C₂²×D₅	—	2	1	no	—
921	C₂²×D₅	—	2	4	no	—
922	C₂²×D₅	—	2	2	no	—
923	C₂²×D₅	—	2	2	no	—
924	C₂²×D₅	—	2	4	no	—
925	C₂²×D₅	—	2	4	no	—
926	C₂²×D₅	—	2	1	no	—
927	C₂²×D₅	—	4	1	no	—
928	C₂²×D₅	—	4	2	no	—
929	C₂²×D₅	—	4	2	no	—
930	C₂²×D₅	—	4	2	no	—
931	C₂²×D₅	—	4	2	no	—
932	C₂²×D₅	—	4	2	no	—
933	C₂²×D₅	—	8	1	no	—
934	C₂²×D₅	—	8	1	no	—
935	C₂²×D₅	—	8	1	no	—
936	C₂²×D₅	—	8	1	no	—
937	C₂²×D₅	—	8	1	no	—
938	C₂²×D₅	—	8	1	no	—
939	C₂²×D₅	—	8	16	no	—
940	C₂²×D₅	—	8	1	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	C₅×D₄	—	2	4	no	—
945	C₅×D₄	—	2	1	no	—
946	C₅×D₄	—	2	1	no	—
947	C₅×D₄	—	2	1	no	—
948	C₅×D₄	—	2	1	no	—
949	C₅×D₄	—	2	1	no	—
950	C₅×D₄	—	2	1	no	—
951	C₅×D₄	—	8	1	no	—
952	C₅×D₄	—	8	1	no	—
953	C₅×D₄	—	8	1	no	—
954	C₅×D₄	—	8	1	no	—
955	C₅×D₄	C₂×#41	1	2	yes	—
956	C₅×D₄	C₂×#41	1	2	yes	—
957	C₂×C₄×C₅	—	2	1	no	—
958	C₂×C₄×C₅	—	2	1	no	—
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	—	8	1	no	—
964	C₂×C₄×C₅	—	8	1	no	—
965	C₂×C₄×C₅	—	8	1	no	—
966	C₂×C₄×C₅	—	8	1	no	—
967	C₂×C₄×C₅	—	8	1	no	—
968	C₂×C₄×C₅	—	8	1	no	—
969	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
970	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
971	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
972	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
973	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
974	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
975	C₂²⋊D₅	—	2	4	no	—
976	C₂²⋊D₅	—	2	4	no	—
977	C₂²⋊D₅	—	2	4	no	—
978	C₂²⋊D₅	—	2	4	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	—	8	1	no	—
984	C₂²⋊D₅	—	8	1	no	—
985	C₂²⋊D₅	—	8	1	no	—
986	C₂×Dic₅	—	2	2	no	—
987	C₂×Dic₅	—	2	1	no	—
988	C₂×Dic₅	—	2	1	no	—
989	C₂×Dic₅	—	2	1	no	—
990	C₂×Dic₅	—	2	1	no	—
991	C₂×Dic₅	—	2	1	no	—
992	C₂×Dic₅	—	4	2	no	—
993	C₂×Dic₅	—	8	1	no	—
994	C₂×Dic₅	—	8	1	no	—
995	C₂×Dic₅	—	8	1	no	—
996	C₂×Dic₅	—	8	1	no	—
997	C₂×Dic₅	—	8	1	no	—
998	C₂×Dic₅	—	8	1	no	—
999	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1000	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1001	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1002	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1003	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1004	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1005	D₂₀	—	2	4	no	—
1006	D₂₀	—	2	1	no	—
1007	D₂₀	—	2	1	no	—
1008	D₂₀	—	2	1	no	—
1009	D₂₀	—	2	1	no	—
1010	D₂₀	—	4	2	no	—
1011	D₂₀	C₂×#41	1	2	yes	—
1012	D₂₀	C₂×#41	1	2	yes	—
1013	C₄×D₅	—	2	2	no	—
1014	C₄×D₅	—	2	2	no	—
1015	C₄×D₅	—	2	2	no	—
1016	C₄×D₅	—	2	1	no	—
1017	C₄×D₅	—	2	1	no	—
1018	C₄×D₅	—	2	2	no	—
1019	C₄×D₅	—	4	1	no	—
1020	C₄×D₅	—	4	1	no	—
1021	C₄×D₅	—	4	2	no	—
1022	C₄×D₅	—	4	2	no	—
1023	C₄×D₅	—	8	1	no	—
1024	C₄×D₅	—	8	1	no	—
1025	C₄×D₅	—	8	1	no	—
1026	C₄×D₅	—	8	1	no	—
1027	C₄×D₅	—	8	1	no	—
1028	C₄×D₅	—	8	1	no	—
1029	C₄×D₅	—	8	1	no	—
1030	C₄×D₅	—	8	1	no	—
1031	C₄×D₅	—	8	1	no	—
1032	C₄×D₅	—	8	1	no	—
1033	C₄×D₅	—	8	1	no	—
1034	C₄×D₅	C₂×#41	1	2	yes	—
1035	C₄×D₅	C₂×#41	1	2	yes	—
1036	Dic₁₀	—	2	1	no	—
1037	Dic₁₀	—	2	1	no	—
1038	Dic₁₀	—	8	1	no	—
1039	Dic₁₀	—	8	1	no	—
1040	C₅×C₈	—	2	1	no	—
1041	C₅×C₈	—	2	1	no	—
1042	C₅×C₈	—	2	1	no	—
1043	C₅×C₈	—	2	1	no	—
1044	#168	—	2	1	no	—
1045	#168	—	2	1	no	—
1046	#168	—	2	1	no	—
1047	#168	—	2	1	no	—
1048	C₂⁵	—	10	1	no	—
1049	C₂×#41	—	5	1	no	—
1050	C₂×#41	—	10	1	no	—
1051	C₂×#41	—	10	1	no	—
1052	C₂²×D₄	—	5	1	no	—
1053	C₂²×D₄	—	5	1	no	—
1054	C₂²×D₄	—	5	1	no	—
1055	C₂²×D₄	—	5	1	no	—
1056	C₂²×D₄	—	5	1	no	—
1057	C₂²×D₄	—	5	1	no	—
1058	C₂²×D₄	—	10	1	no	—
1059	C₂²×D₄	—	10	1	no	—
1060	C₂²×D₄	—	10	1	no	—
1061	C₂²×D₄	—	10	4	no	—
1062	C₂²×D₄	—	10	4	no	—
1063	C₂²×D₄	—	10	1	no	—
1064	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1065	C₂³×C₄	—	5	1	no	—
1066	C₂³×C₄	—	10	1	no	—
1067	C₂³×C₄	—	10	1	no	—
1068	C₂³×C₄	—	10	1	no	—
1069	C₂³×C₄	—	10	1	no	—
1070	AGL(1,ℤ/8)	—	10	4	no	—
1071	AGL(1,ℤ/8)	—	10	4	no	—
1072	C₂×SD₁₆	—	5	1	no	—
1073	C₂×SD₁₆	—	5	1	no	—
1074	C₂×SD₁₆	—	5	1	no	—
1075	C₂×SD₁₆	—	5	1	no	—
1076	C₂×D₈	—	5	1	no	—
1077	C₂×D₈	—	5	1	no	—
1078	C₂×D₈	—	5	1	no	—
1079	C₂×D₈	—	5	1	no	—
1080	C₂×D₈	—	5	1	no	—
1081	C₂×D₈	—	5	1	no	—
1082	C₂×D₈	—	5	1	no	—
1083	C₂×D₈	—	5	1	no	—
1084	C₂×D₈	—	10	4	no	—
1085	C₂×D₈	—	10	4	no	—
1086	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1087	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1088	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1089	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1090	C₂×M₁₆	—	5	1	no	—
1091	C₂×M₁₆	—	5	1	no	—
1092	C₂²×C₈	—	5	1	no	—
1093	C₂²×C₈	—	5	1	no	—
1094	C₄⋊Q₈	—	5	1	no	—
1095	C₄⋊Q₈	—	5	1	no	—
1096	C₄⋊Q₈	—	10	1	no	—
1097	#127	—	5	1	no	—
1098	#127	C₂²×D₅	1	1	yes	characteristic, complemented
1099	#126	—	10	1	no	—
1100	#126	—	10	1	no	—
1101	#126	—	10	1	no	—
1102	#126	—	10	1	no	—
1103	#125	—	5	1	no	—
1104	#125	—	10	1	no	—
1105	#125	C₂²×D₅	1	1	yes	characteristic, complemented
1106	#124	—	5	1	no	—
1107	#124	—	5	1	no	—
1108	#124	—	10	1	no	—
1109	#124	—	10	1	no	—
1110	#124	—	10	1	no	—
1111	#124	—	10	1	no	—
1112	#123	—	2	1	no	—
1113	#123	—	2	1	no	—
1114	#123	—	10	1	no	—
1115	#123	—	10	1	no	—
1116	#123	—	10	1	no	—
1117	#123	—	10	1	no	—
1118	#123	—	10	1	no	—
1119	#123	—	10	1	no	—
1120	#123	—	10	1	no	—
1121	C₂²⋊Q₈	—	5	1	no	—
1122	C₂²⋊Q₈	—	5	1	no	—
1123	C₂²⋊Q₈	—	10	1	no	—
1124	C₂²⋊Q₈	—	10	1	no	—
1125	C₂²⋊Q₈	—	10	1	no	—
1126	C₂²⋊Q₈	—	10	1	no	—
1127	#121	—	2	1	no	—
1128	#121	—	2	1	no	—
1129	#121	—	5	1	no	—
1130	#121	—	5	1	no	—
1131	#121	—	5	1	no	—
1132	#121	—	5	1	no	—
1133	#121	—	10	1	no	—
1134	#121	—	10	1	no	—
1135	#121	—	10	1	no	—
1136	#121	—	10	1	no	—
1137	#121	—	10	1	no	—
1138	#121	—	10	1	no	—
1139	#121	—	10	1	no	—
1140	#121	—	10	1	no	—
1141	#121	C₂²×D₅	1	1	yes	characteristic
1142	#121	C₂²×D₅	1	1	yes	characteristic
1143	#120	—	10	1	no	—
1144	#120	—	10	1	no	—
1145	#120	—	10	1	no	—
1146	C₄×Q₈	—	5	1	no	—
1147	C₄×Q₈	—	5	1	no	—
1148	C₄×D₄	—	2	1	no	—
1149	C₄×D₄	—	2	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	—	5	1	no	—
1159	C₄×D₄	—	5	1	no	—
1160	C₄×D₄	—	5	1	no	—
1161	C₄×D₄	—	5	1	no	—
1162	C₄×D₄	—	5	1	no	—
1163	C₄×D₄	—	5	1	no	—
1164	C₄×D₄	—	5	1	no	—
1165	C₄×D₄	—	5	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	—	10	1	no	—
1191	C₄×D₄	—	10	1	no	—
1192	C₄×D₄	—	10	1	no	—
1193	C₄×D₄	—	10	1	no	—
1194	C₄×D₄	—	10	1	no	—
1195	C₄×D₄	—	10	1	no	—
1196	C₄×D₄	—	10	1	no	—
1197	C₄×D₄	—	10	1	no	—
1198	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1199	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1200	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1201	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1202	C₄×D₄	C₂²×D₅	1	1	yes	characteristic, complemented
1203	C₄×D₄	C₂²×D₅	1	1	yes	characteristic, complemented
1204	#117	—	5	1	no	—
1205	#117	—	5	1	no	—
1206	#117	—	5	1	no	—
1207	#117	—	5	1	no	—
1208	#117	—	5	1	no	—
1209	#117	—	5	1	no	—
1210	#117	—	5	1	no	—
1211	#117	—	5	1	no	—
1212	#117	—	5	1	no	—
1213	#117	—	5	1	no	—
1214	#117	—	5	1	no	—
1215	#117	—	10	1	no	—
1216	#117	—	10	1	no	—
1217	#117	—	10	1	no	—
1218	#117	—	10	1	no	—
1219	#117	—	10	1	no	—
1220	#117	C₂²×D₅	1	1	yes	characteristic
1221	#117	C₂²×D₅	1	1	yes	characteristic
1222	C₂×C₄⋊C₄	—	5	1	no	—
1223	C₂×C₄⋊C₄	—	5	1	no	—
1224	C₂×C₄⋊C₄	—	5	1	no	—
1225	C₂×C₄⋊C₄	—	5	1	no	—
1226	C₂×C₄⋊C₄	—	5	1	no	—
1227	C₂×C₄⋊C₄	—	10	1	no	—
1228	C₂×C₂²⋊C₄	—	2	1	no	—
1229	C₂×C₂²⋊C₄	—	2	1	no	—
1230	C₂×C₂²⋊C₄	—	5	1	no	—
1231	C₂×C₂²⋊C₄	—	5	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×C₂²⋊C₄	—	10	1	no	—
1241	C₂×C₂²⋊C₄	—	10	1	no	—
1242	C₂×C₂²⋊C₄	—	10	1	no	—
1243	C₂×C₂²⋊C₄	—	10	1	no	—
1244	C₂×C₂²⋊C₄	—	10	1	no	—
1245	C₂×C₂²⋊C₄	—	10	1	no	—
1246	C₂×C₂²⋊C₄	—	10	1	no	—
1247	C₂×C₂²⋊C₄	—	10	1	no	—
1248	C₂×C₂²⋊C₄	—	10	1	no	—
1249	C₂×C₂²⋊C₄	—	10	1	no	—
1250	C₂×C₂²⋊C₄	—	10	1	no	—
1251	C₂×C₂²⋊C₄	—	10	1	no	—
1252	C₂×C₂²⋊C₄	—	10	1	no	—
1253	C₂×C₂²⋊C₄	—	10	1	no	—
1254	C₂×C₄²	—	5	1	no	—
1255	C₂×C₄²	—	5	1	no	—
1256	C₂×C₄²	—	10	1	no	—
1257	#107	—	5	1	no	—
1258	#107	—	5	1	no	—
1259	#107	—	5	1	no	—
1260	#107	—	5	1	no	—
1261	#107	—	5	1	no	—
1262	#107	—	5	1	no	—
1263	#107	C₂²×D₅	1	1	yes	characteristic, complemented
1264	#107	C₂²×D₅	1	1	yes	characteristic, complemented
1265	#106	—	5	1	no	—
1266	#106	—	5	1	no	—
1267	#106	—	5	1	no	—
1268	#106	—	5	1	no	—
1269	#106	—	5	1	no	—
1270	#106	—	5	1	no	—
1271	#106	C₂²×D₅	1	1	yes	characteristic, complemented
1272	#106	C₂²×D₅	1	1	yes	characteristic, complemented
1273	C₄⋊C₈	—	5	1	no	—
1274	C₄⋊C₈	—	5	1	no	—
1275	C₄⋊C₈	—	5	1	no	—
1276	C₄⋊C₈	—	5	1	no	—
1277	C₄⋊C₈	—	5	1	no	—
1278	C₄⋊C₈	—	5	1	no	—
1279	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1280	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1281	#103	—	5	1	no	—
1282	#103	—	5	1	no	—
1283	#103	—	5	1	no	—
1284	#103	—	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	—	5	1	no	—
1296	#102	—	5	1	no	—
1297	#102	—	5	1	no	—
1298	#102	—	5	1	no	—
1299	#102	—	5	1	no	—
1300	#102	—	5	1	no	—
1301	#102	—	5	1	no	—
1302	#102	—	5	1	no	—
1303	#102	—	5	1	no	—
1304	#102	—	5	1	no	—
1305	#102	C₂²×D₅	1	1	yes	characteristic
1306	#102	C₂²×D₅	1	1	yes	characteristic
1307	#102	C₂²×D₅	1	1	yes	characteristic
1308	#102	C₂²×D₅	1	1	yes	characteristic
1309	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1310	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1311	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1312	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1313	C₂²⋊C₈	—	5	1	no	—
1314	C₂²⋊C₈	—	5	1	no	—
1315	C₂²⋊C₈	—	5	1	no	—
1316	C₂²⋊C₈	—	5	1	no	—
1317	C₂²⋊C₈	—	5	1	no	—
1318	C₂²⋊C₈	—	5	1	no	—
1319	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1320	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1321	#97	—	5	1	no	—
1322	#97	—	5	1	no	—
1323	#97	—	5	1	no	—
1324	#97	C₂²×D₅	1	1	yes	characteristic, complemented
1325	C₄×C₈	—	5	1	no	—
1326	C₄×C₈	—	5	1	no	—
1327	C₄×C₈	—	5	1	no	—
1328	C₄×C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1329	C₂²×C₅	—	2	1	no	—
1330	C₂²×C₅	—	2	1	no	—
1331	C₂²×C₅	—	2	2	no	—
1332	C₂²×C₅	—	2	2	no	—
1333	C₂²×C₅	—	2	1	no	—
1334	C₂²×C₅	—	4	1	no	—
1335	C₂²×C₅	—	4	1	no	—
1336	C₂²×C₅	—	4	1	no	—
1337	C₂²×C₅	—	4	1	no	—
1338	C₂²×C₅	—	4	1	no	—
1339	C₂²×C₅	—	4	1	no	—
1340	C₂²×C₅	—	4	1	no	—
1341	C₂²×C₅	—	4	1	no	—
1342	C₂²×C₅	—	4	1	no	—
1343	C₂²×C₅	—	4	1	no	—
1344	C₂²×C₅	—	8	4	no	—
1345	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1346	C₂×D₅	—	2	1	no	—
1347	C₂×D₅	—	2	1	no	—
1348	C₂×D₅	—	2	1	no	—
1349	C₂×D₅	—	2	1	no	—
1350	C₂×D₅	—	2	2	no	—
1351	C₂×D₅	—	2	2	no	—
1352	C₂×D₅	—	4	4	no	—
1353	C₂×D₅	—	4	8	no	—
1354	C₂×D₅	—	4	8	no	—
1355	C₂×D₅	—	4	1	no	—
1356	C₂×D₅	—	4	1	no	—
1357	C₂×D₅	—	4	1	no	—
1358	C₂×D₅	—	4	1	no	—
1359	C₂×D₅	—	4	1	no	—
1360	C₂×D₅	—	4	1	no	—
1361	C₂×D₅	—	4	1	no	—
1362	C₂×D₅	—	8	4	no	—
1363	C₂×D₅	—	8	4	no	—
1364	C₂×D₅	—	8	4	no	—
1365	C₂×D₅	—	16	2	no	—
1366	C₂×D₅	#525	1	2	yes	—
1367	C₂×D₅	#576	1	2	yes	—
1368	C₄×C₅	—	2	1	no	—
1369	C₄×C₅	—	2	1	no	—
1370	C₄×C₅	—	2	1	no	—
1371	C₄×C₅	—	2	1	no	—
1372	C₄×C₅	—	2	1	no	—
1373	C₄×C₅	—	4	1	no	—
1374	C₄×C₅	—	4	1	no	—
1375	C₄×C₅	—	4	1	no	—
1376	C₄×C₅	—	4	1	no	—
1377	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1378	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1379	Dic₅	—	2	1	no	—
1380	Dic₅	—	2	1	no	—
1381	Dic₅	—	2	1	no	—
1382	Dic₅	—	2	1	no	—
1383	Dic₅	—	2	1	no	—
1384	Dic₅	—	4	1	no	—
1385	Dic₅	—	4	1	no	—
1386	Dic₅	—	4	1	no	—
1387	Dic₅	—	4	1	no	—
1388	Dic₅	—	4	1	no	—
1389	Dic₅	#525	1	2	yes	—
1390	C₂⁴	—	2	1	no	—
1391	C₂⁴	—	5	1	no	—
1392	C₂⁴	—	10	1	no	—
1393	C₂⁴	—	10	1	no	—
1394	C₂⁴	—	10	1	no	—
1395	C₂⁴	—	10	1	no	—
1396	C₂⁴	—	10	1	no	—
1397	C₂⁴	—	10	8	no	—
1398	C₂⁴	—	10	1	no	—
1399	C₂⁴	—	40	2	no	—
1400	C₂⁴	—	40	2	no	—
1401	#41	—	10	2	no	—
1402	#41	—	10	2	no	—
1403	#41	—	40	2	no	—
1404	#41	—	40	2	no	—
1405	C₂×Q₈	—	5	1	no	—
1406	C₂×Q₈	—	10	1	no	—
1407	C₂×Q₈	—	10	1	no	—
1408	C₂×D₄	—	2	2	no	—
1409	C₂×D₄	—	2	2	no	—
1410	C₂×D₄	—	2	1	no	—
1411	C₂×D₄	—	2	1	no	—
1412	C₂×D₄	—	2	1	no	—
1413	C₂×D₄	—	2	1	no	—
1414	C₂×D₄	—	2	1	no	—
1415	C₂×D₄	—	5	4	no	—
1416	C₂×D₄	—	5	4	no	—
1417	C₂×D₄	—	5	1	no	—
1418	C₂×D₄	—	5	1	no	—
1419	C₂×D₄	—	5	1	no	—
1420	C₂×D₄	—	10	2	no	—
1421	C₂×D₄	—	10	2	no	—
1422	C₂×D₄	—	10	1	no	—
1423	C₂×D₄	—	10	2	no	—
1424	C₂×D₄	—	10	2	no	—
1425	C₂×D₄	—	10	2	no	—
1426	C₂×D₄	—	10	2	no	—
1427	C₂×D₄	—	10	1	no	—
1428	C₂×D₄	—	10	1	no	—
1429	C₂×D₄	—	10	1	no	—
1430	C₂×D₄	—	10	1	no	—
1431	C₂×D₄	—	10	1	no	—
1432	C₂×D₄	—	10	1	no	—
1433	C₂×D₄	—	10	1	no	—
1434	C₂×D₄	—	10	2	no	—
1435	C₂×D₄	—	10	2	no	—
1436	C₂×D₄	—	10	8	no	—
1437	C₂×D₄	—	10	8	no	—
1438	C₂×D₄	—	10	8	no	—
1439	C₂×D₄	—	10	2	no	—
1440	C₂×D₄	—	10	2	no	—
1441	C₂×D₄	—	10	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	—	40	2	no	—
1447	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1448	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1449	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1450	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1451	C₂²×C₄	—	2	1	no	—
1452	C₂²×C₄	—	2	1	no	—
1453	C₂²×C₄	—	2	1	no	—
1454	C₂²×C₄	—	2	1	no	—
1455	C₂²×C₄	—	2	1	no	—
1456	C₂²×C₄	—	2	1	no	—
1457	C₂²×C₄	—	5	1	no	—
1458	C₂²×C₄	—	5	1	no	—
1459	C₂²×C₄	—	5	1	no	—
1460	C₂²×C₄	—	5	1	no	—
1461	C₂²×C₄	—	5	1	no	—
1462	C₂²×C₄	—	5	1	no	—
1463	C₂²×C₄	—	5	1	no	—
1464	C₂²×C₄	—	5	1	no	—
1465	C₂²×C₄	—	5	1	no	—
1466	C₂²×C₄	—	10	2	no	—
1467	C₂²×C₄	—	10	2	no	—
1468	C₂²×C₄	—	10	1	no	—
1469	C₂²×C₄	—	10	1	no	—
1470	C₂²×C₄	—	10	1	no	—
1471	C₂²×C₄	—	10	1	no	—
1472	C₂²×C₄	—	10	1	no	—
1473	C₂²×C₄	—	10	1	no	—
1474	C₂²×C₄	—	10	1	no	—
1475	C₂²×C₄	—	10	1	no	—
1476	C₂²×C₄	—	10	1	no	—
1477	C₂²×C₄	—	10	1	no	—
1478	C₂²×C₄	—	10	1	no	—
1479	C₂²×C₄	—	10	1	no	—
1480	C₂²×C₄	—	10	1	no	—
1481	C₂²×C₄	—	10	1	no	—
1482	C₂²×C₄	—	10	1	no	—
1483	C₂²×C₄	—	10	1	no	—
1484	C₂²×C₄	—	10	1	no	—
1485	C₂²×C₄	—	10	1	no	—
1486	C₂²×C₄	—	10	1	no	—
1487	C₂²×C₄	—	10	1	no	—
1488	C₂²×C₄	—	40	2	no	—
1489	C₂²×C₄	—	40	2	no	—
1490	C₂²×C₄	—	40	2	no	—
1491	C₂²×C₄	—	40	2	no	—
1492	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1493	SD₁₆	—	10	2	no	—
1494	SD₁₆	—	10	2	no	—
1495	SD₁₆	—	10	2	no	—
1496	SD₁₆	—	10	2	no	—
1497	D₈	—	2	2	no	—
1498	D₈	—	2	2	no	—
1499	D₈	—	2	2	no	—
1500	D₈	—	2	2	no	—
1501	D₈	—	10	2	no	—
1502	D₈	—	10	2	no	—
1503	D₈	—	10	2	no	—
1504	D₈	—	10	2	no	—
1505	D₈	—	10	2	no	—
1506	D₈	—	10	2	no	—
1507	D₈	—	10	2	no	—
1508	D₈	—	10	2	no	—
1509	M₁₆	—	10	2	no	—
1510	M₁₆	—	10	2	no	—
1511	C₂×C₈	—	5	1	no	—
1512	C₂×C₈	—	5	1	no	—
1513	C₂×C₈	—	5	1	no	—
1514	C₂×C₈	—	5	1	no	—
1515	C₂×C₈	—	10	2	no	—
1516	C₂×C₈	—	10	2	no	—
1517	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1518	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1519	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1520	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1521	C₄⋊C₄	—	2	1	no	—
1522	C₄⋊C₄	—	2	1	no	—
1523	C₄⋊C₄	—	5	1	no	—
1524	C₄⋊C₄	—	5	1	no	—
1525	C₄⋊C₄	—	5	1	no	—
1526	C₄⋊C₄	—	5	1	no	—
1527	C₄⋊C₄	—	5	1	no	—
1528	C₄⋊C₄	—	5	1	no	—
1529	C₄⋊C₄	—	5	1	no	—
1530	C₄⋊C₄	—	5	1	no	—
1531	C₄⋊C₄	—	5	1	no	—
1532	C₄⋊C₄	—	5	1	no	—
1533	C₄⋊C₄	—	10	1	no	—
1534	C₄⋊C₄	—	10	1	no	—
1535	C₄⋊C₄	—	10	1	no	—
1536	C₄⋊C₄	—	10	1	no	—
1537	C₄⋊C₄	—	10	1	no	—
1538	C₄⋊C₄	—	10	1	no	—
1539	C₄⋊C₄	—	10	1	no	—
1540	C₄⋊C₄	—	10	1	no	—
1541	C₄⋊C₄	—	10	1	no	—
1542	C₄⋊C₄	—	10	1	no	—
1543	C₄⋊C₄	—	10	1	no	—
1544	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1545	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1546	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1547	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1548	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1549	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	2	1	no	—
1554	C₂²⋊C₄	—	2	1	no	—
1555	C₂²⋊C₄	—	2	1	no	—
1556	C₂²⋊C₄	—	2	1	no	—
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	2	1	no	—
1559	C₂²⋊C₄	—	5	1	no	—
1560	C₂²⋊C₄	—	5	1	no	—
1561	C₂²⋊C₄	—	5	1	no	—
1562	C₂²⋊C₄	—	5	1	no	—
1563	C₂²⋊C₄	—	5	1	no	—
1564	C₂²⋊C₄	—	5	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	—	10	1	no	—
1575	C₂²⋊C₄	—	10	1	no	—
1576	C₂²⋊C₄	—	10	1	no	—
1577	C₂²⋊C₄	—	10	1	no	—
1578	C₂²⋊C₄	—	10	1	no	—
1579	C₂²⋊C₄	—	10	1	no	—
1580	C₂²⋊C₄	—	10	1	no	—
1581	C₂²⋊C₄	—	10	1	no	—
1582	C₂²⋊C₄	—	10	1	no	—
1583	C₂²⋊C₄	—	10	1	no	—
1584	C₂²⋊C₄	—	10	1	no	—
1585	C₂²⋊C₄	—	10	1	no	—
1586	C₂²⋊C₄	—	10	1	no	—
1587	C₂²⋊C₄	—	10	1	no	—
1588	C₂²⋊C₄	—	10	1	no	—
1589	C₂²⋊C₄	—	10	1	no	—
1590	C₂²⋊C₄	—	10	1	no	—
1591	C₂²⋊C₄	—	10	1	no	—
1592	C₂²⋊C₄	—	10	1	no	—
1593	C₂²⋊C₄	—	10	1	no	—
1594	C₂²⋊C₄	—	10	1	no	—
1595	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1596	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1597	C₄²	—	2	1	no	—
1598	C₄²	—	5	1	no	—
1599	C₄²	—	5	1	no	—
1600	C₄²	—	5	1	no	—
1601	C₄²	—	5	1	no	—
1602	C₄²	—	5	1	no	—
1603	C₄²	—	5	1	no	—
1604	C₄²	—	10	1	no	—
1605	C₄²	—	10	1	no	—
1606	C₄²	—	10	1	no	—
1607	C₄²	—	10	1	no	—
1608	C₄²	—	10	1	no	—
1609	C₄²	—	10	1	no	—
1610	C₄²	C₂³×D₅	1	1	yes	characteristic
1611	C₄²	C₂³×D₅	1	1	yes	characteristic
1612	C₂×C₅	—	4	1	no	—
1613	C₂×C₅	—	4	2	no	—
1614	C₂×C₅	—	4	2	no	—
1615	C₂×C₅	—	8	1	no	—
1616	C₂×C₅	—	8	1	no	—
1617	C₂×C₅	C₂×#525	1	1	yes	characteristic
1618	C₂×C₅	C₂×#576	1	1	yes	characteristic
1619	C₂×C₅	#3585	1	1	yes	characteristic
1620	D₅	—	2	2	no	—
1621	D₅	—	2	2	no	—
1622	D₅	—	4	2	no	—
1623	D₅	—	4	2	no	—
1624	D₅	—	8	1	no	—
1625	C₂³	—	2	4	no	—
1626	C₂³	—	2	1	no	—
1627	C₂³	—	2	1	no	—
1628	C₂³	—	2	1	no	—
1629	C₂³	—	2	1	no	—
1630	C₂³	—	5	1	no	—
1631	C₂³	—	5	1	no	—
1632	C₂³	—	8	1	no	—
1633	C₂³	—	8	1	no	—
1634	C₂³	—	10	2	no	—
1635	C₂³	—	10	2	no	—
1636	C₂³	—	10	4	no	—
1637	C₂³	—	10	4	no	—
1638	C₂³	—	10	4	no	—
1639	C₂³	—	10	4	no	—
1640	C₂³	—	10	4	no	—
1641	C₂³	—	10	1	no	—
1642	C₂³	—	10	1	no	—
1643	C₂³	—	10	1	no	—
1644	C₂³	—	20	1	no	—
1645	C₂³	—	20	2	no	—
1646	C₂³	—	20	2	no	—
1647	C₂³	—	20	2	no	—
1648	C₂³	—	20	2	no	—
1649	C₂³	—	20	2	no	—
1650	C₂³	—	40	1	no	—
1651	C₂³	—	40	1	no	—
1652	C₂³	—	40	1	no	—
1653	C₂³	—	40	1	no	—
1654	C₂³	—	40	1	no	—
1655	C₂³	—	40	1	no	—
1656	C₂³	—	40	1	no	—
1657	C₂³	—	40	1	no	—
1658	C₂³	—	40	16	no	—
1659	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1660	Q₈	—	10	1	no	—
1661	Q₈	—	10	1	no	—
1662	Q₈	—	40	1	no	—
1663	Q₈	—	40	1	no	—
1664	D₄	—	2	4	no	—
1665	D₄	—	2	1	no	—
1666	D₄	—	2	1	no	—
1667	D₄	—	2	1	no	—
1668	D₄	—	2	1	no	—
1669	D₄	—	2	1	no	—
1670	D₄	—	2	1	no	—
1671	D₄	—	5	2	no	—
1672	D₄	—	5	2	no	—
1673	D₄	—	8	1	no	—
1674	D₄	—	8	1	no	—
1675	D₄	—	8	1	no	—
1676	D₄	—	8	1	no	—
1677	D₄	—	10	4	no	—
1678	D₄	—	10	4	no	—
1679	D₄	—	10	4	no	—
1680	D₄	—	10	4	no	—
1681	D₄	—	10	4	no	—
1682	D₄	—	10	1	no	—
1683	D₄	—	10	1	no	—
1684	D₄	—	10	1	no	—
1685	D₄	—	10	1	no	—
1686	D₄	—	20	2	no	—
1687	D₄	—	20	2	no	—
1688	D₄	—	20	2	no	—
1689	D₄	—	20	2	no	—
1690	D₄	—	20	2	no	—
1691	D₄	—	40	1	no	—
1692	D₄	—	40	1	no	—
1693	D₄	—	40	1	no	—
1694	D₄	D₅×#41	1	2	yes	—
1695	D₄	D₅×#41	1	2	yes	—
1696	C₂×C₄	—	2	1	no	—
1697	C₂×C₄	—	2	1	no	—
1698	C₂×C₄	—	2	1	no	—
1699	C₂×C₄	—	2	1	no	—
1700	C₂×C₄	—	2	1	no	—
1701	C₂×C₄	—	2	1	no	—
1702	C₂×C₄	—	5	1	no	—
1703	C₂×C₄	—	5	2	no	—
1704	C₂×C₄	—	5	2	no	—
1705	C₂×C₄	—	5	1	no	—
1706	C₂×C₄	—	5	1	no	—
1707	C₂×C₄	—	5	1	no	—
1708	C₂×C₄	—	5	1	no	—
1709	C₂×C₄	—	5	1	no	—
1710	C₂×C₄	—	8	1	no	—
1711	C₂×C₄	—	8	1	no	—
1712	C₂×C₄	—	8	1	no	—
1713	C₂×C₄	—	8	1	no	—
1714	C₂×C₄	—	8	1	no	—
1715	C₂×C₄	—	8	1	no	—
1716	C₂×C₄	—	10	2	no	—
1717	C₂×C₄	—	10	2	no	—
1718	C₂×C₄	—	10	2	no	—
1719	C₂×C₄	—	10	2	no	—
1720	C₂×C₄	—	10	2	no	—
1721	C₂×C₄	—	10	1	no	—
1722	C₂×C₄	—	10	1	no	—
1723	C₂×C₄	—	10	1	no	—
1724	C₂×C₄	—	10	1	no	—
1725	C₂×C₄	—	10	1	no	—
1726	C₂×C₄	—	10	1	no	—
1727	C₂×C₄	—	10	1	no	—
1728	C₂×C₄	—	20	1	no	—
1729	C₂×C₄	—	20	1	no	—
1730	C₂×C₄	—	20	2	no	—
1731	C₂×C₄	—	20	2	no	—
1732	C₂×C₄	—	20	2	no	—
1733	C₂×C₄	—	40	1	no	—
1734	C₂×C₄	—	40	1	no	—
1735	C₂×C₄	—	40	1	no	—
1736	C₂×C₄	—	40	1	no	—
1737	C₂×C₄	—	40	1	no	—
1738	C₂×C₄	—	40	1	no	—
1739	C₂×C₄	—	40	1	no	—
1740	C₂×C₄	—	40	1	no	—
1741	C₂×C₄	—	40	1	no	—
1742	C₂×C₄	—	40	1	no	—
1743	C₂×C₄	—	40	1	no	—
1744	C₂×C₄	—	40	1	no	—
1745	C₂×C₄	—	40	1	no	—
1746	C₂×C₄	—	40	1	no	—
1747	C₂×C₄	—	40	1	no	—
1748	C₂×C₄	—	40	1	no	—
1749	C₂×C₄	—	40	1	no	—
1750	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1751	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1752	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1753	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1754	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1755	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1756	C₈	—	2	1	no	—
1757	C₈	—	2	1	no	—
1758	C₈	—	2	1	no	—
1759	C₈	—	2	1	no	—
1760	C₈	—	10	1	no	—
1761	C₈	—	10	1	no	—
1762	C₈	—	10	1	no	—
1763	C₈	—	10	1	no	—
1764	C₅	#60578	1	1	yes	characteristic, complemented, Sylow
1765	C₂²	—	2	1	no	—
1766	C₂²	—	2	2	no	—
1767	C₂²	—	2	2	no	—
1768	C₂²	—	2	1	no	—
1769	C₂²	—	2	1	no	—
1770	C₂²	—	4	1	no	—
1771	C₂²	—	4	1	no	—
1772	C₂²	—	4	1	no	—
1773	C₂²	—	4	1	no	—
1774	C₂²	—	4	1	no	—
1775	C₂²	—	4	1	no	—
1776	C₂²	—	4	1	no	—
1777	C₂²	—	4	1	no	—
1778	C₂²	—	4	1	no	—
1779	C₂²	—	4	1	no	—
1780	C₂²	—	5	2	no	—
1781	C₂²	—	5	2	no	—
1782	C₂²	—	8	4	no	—
1783	C₂²	—	10	1	no	—
1784	C₂²	—	10	1	no	—
1785	C₂²	—	10	1	no	—
1786	C₂²	—	10	1	no	—
1787	C₂²	—	10	2	no	—
1788	C₂²	—	10	2	no	—
1789	C₂²	—	20	4	no	—
1790	C₂²	—	20	8	no	—
1791	C₂²	—	20	8	no	—
1792	C₂²	—	20	1	no	—
1793	C₂²	—	20	1	no	—
1794	C₂²	—	20	1	no	—
1795	C₂²	—	20	1	no	—
1796	C₂²	—	20	1	no	—
1797	C₂²	—	20	1	no	—
1798	C₂²	—	20	1	no	—
1799	C₂²	—	40	4	no	—
1800	C₂²	—	40	4	no	—
1801	C₂²	—	40	4	no	—
1802	C₂²	—	80	2	no	—
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	—	2	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	—	10	1	no	—
1815	C₄	—	10	1	no	—
1816	C₄	—	10	1	no	—
1817	C₄	—	10	1	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	C₂×D₅×#41	1	1	yes	characteristic
1825	C₄	C₂×D₅×#41	1	1	yes	characteristic
1826	C₂	—	4	1	no	—
1827	C₂	—	4	2	no	—
1828	C₂	—	4	2	no	—
1829	C₂	—	8	1	no	—
1830	C₂	—	8	1	no	—
1831	C₂	—	10	2	no	—
1832	C₂	—	10	2	no	—
1833	C₂	—	20	2	no	—
1834	C₂	—	20	2	no	—
1835	C₂	—	40	1	no	—
1836	C₂	D₅×#525	1	1	yes	characteristic
1837	C₂	D₅×#576	1	1	yes	characteristic
1838	C₂	#10619105	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×#3122	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3122	D₅
hypocenter	C₅	#60578
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3122

Complements

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

N	H ≅ G/N	type
1. #10618386	C₂	semidirect
2. D₅×#518	C₂	semidirect
3. C₅×#3122	C₂	semidirect
4. #10615166	C₂	semidirect
5. #10614272	C₂	semidirect
6. #10613104	C₂	semidirect
7. #10613102	C₂	semidirect
8. #10613085	C₂	semidirect
9. #10613083	C₂	semidirect
10. #10612900	C₂	semidirect
11. #10612899	C₂	semidirect
12. #10612874	C₂	semidirect
13. #10612872	C₂	semidirect
14. #10612065	C₂	semidirect
15. #10612065	C₂	semidirect
16. #10612045	C₂	semidirect
17. #10612043	C₂	semidirect
18. #10611733	C₂	semidirect
19. D₅×#447	C₂	semidirect
20. #10611724	C₂	semidirect
21. #10611723	C₂	semidirect
22. #10611602	C₂	semidirect
23. #10611600	C₂	semidirect
24. #10611598	C₂	semidirect
25. #10611597	C₂	semidirect
26. #10611323	C₂	semidirect
27. #10611321	C₂	semidirect
28. #10611319	C₂	semidirect
29. #10611318	C₂	semidirect
30. #10611114	C₂	semidirect
31. #10611105	C₂	semidirect
33. C₅×#540	C₂²	semidirect
34. C₅×#518	C₂²	semidirect
35. #66132	C₂²	semidirect
40. #66050	C₂²	semidirect
41. #66049	C₂²	semidirect
42. #66025	C₂²	semidirect
43. #66023	C₂²	semidirect
48. #65953	C₂²	semidirect
54. #65937	C₂²	semidirect
56. #65891	C₂²	semidirect
57. #65882	C₂²	semidirect
58. #65880	C₂²	semidirect
65. #65879	C₂²	semidirect
68. C₄×D₄×D₅	C₂²	semidirect
69. C₄×D₄×D₅	C₂²	semidirect
70. C₄×D₄×D₅	C₂²	semidirect
71. C₄×D₄×D₅	C₂²	semidirect
72. #65868	C₂²	semidirect
73. #65855	C₂²	semidirect
74. #65855	C₂²	semidirect
81. C₅×#482	C₂²	semidirect
82. C₅×#482	C₂²	semidirect
83. C₅×#478	C₂²	semidirect
84. C₅×#478	C₂²	semidirect
85. C₅×#459	C₂²	semidirect
86. C₅×#459	C₂²	semidirect
88. C₅×#447	C₂²	semidirect
89. C₅×#442	C₂²	semidirect
90. C₅×#442	C₂²	semidirect
91. C₄×C₅×D₈	C₂²	semidirect
92. C₄×C₅×D₈	C₂²	semidirect
93. C₅×#433	C₂²	semidirect
94. #65507	C₂²	semidirect
98. #65445	C₂²	semidirect
99. #65445	C₂²	semidirect
100. #65442	C₂²	semidirect
101. #65442	C₂²	semidirect
102. #65441	C₂²	semidirect
103. #65441	C₂²	semidirect
104. #65439	C₂²	semidirect
105. #65439	C₂²	semidirect
106. D₈×Dic₅	C₂²	semidirect
107. D₈×Dic₅	C₂²	semidirect
108. #65361	C₂²	semidirect
109. #65361	C₂²	semidirect
110. #65355	C₂²	semidirect
111. #65355	C₂²	semidirect
113. #65325	C₂²	semidirect
114. #65324	C₂²	semidirect
115. #65324	C₂²	semidirect
116. #65307	C₂²	semidirect
117. C₄×#687	C₂²	semidirect
118. #65305	C₂²	semidirect
119. #65305	C₂²	semidirect
120. #65303	C₂²	semidirect
121. #65303	C₂²	semidirect
122. #65303	C₂²	semidirect
123. C₄×#686	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. #65179	C₂²	semidirect
133. #65178	C₂²	semidirect
134. #65173	C₂²	semidirect
135. #65171	C₂²	semidirect
136. #65170	C₂²	semidirect
137. #65169	C₂²	semidirect
138. #65161	C₂²	semidirect
139. #65160	C₂²	semidirect
140. #65159	C₂²	semidirect
141. #65158	C₂²	semidirect
142. #65152	C₂²	semidirect
143. #65151	C₂²	semidirect
144. #65150	C₂²	semidirect
145. #65149	C₂²	semidirect
146. #65141	C₂²	semidirect
147. #65135	C₂²	semidirect
148. #65133	C₂²	semidirect
149. #65133	C₂²	semidirect
150. #65131	C₂²	semidirect
151. #65128	C₂²	semidirect
152. #65128	C₂²	semidirect
153. #65124	C₂²	semidirect
154. #65122	C₂²	semidirect
155. #65076	C₂²	semidirect
156. #65076	C₂²	semidirect
157. #65075	C₂²	semidirect
158. #65075	C₂²	semidirect
159. #65074	C₂²	semidirect
160. #65074	C₂²	semidirect
161. #65074	C₂²	semidirect
162. #65066	C₂²	semidirect
163. #65066	C₂²	semidirect
164. #65065	C₂²	semidirect
165. #65065	C₂²	semidirect
166. #65063	C₂²	semidirect
167. #65063	C₂²	semidirect
170. #65061	C₂²	semidirect
171. #65061	C₂²	semidirect
174. #65059	C₂²	semidirect
175. #65059	C₂²	semidirect
178. #65055	C₂²	semidirect
179. #65052	C₂²	semidirect
180. #65050	C₂²	semidirect
181. #65048	C₂²	semidirect
182. #65047	C₂²	semidirect
183. #65046	C₂²	semidirect
184. #65045	C₂²	semidirect
185. #65045	C₂²	semidirect
186. #65045	C₂²	semidirect
187. #65026	C₂²	semidirect
189. #65020	C₂²	semidirect
192. #65012	C₂²	semidirect
193. #65009	C₂²	semidirect
194. #65009	C₂²	semidirect
195. #65000	C₂²	semidirect
196. #64999	C₂²	semidirect
197. #64997	C₂²	semidirect
198. #64994	C₂²	semidirect
199. C₄×D₄₀	C₂²	semidirect
200. C₄×#677	C₂²	semidirect
201. #64978	C₂²	semidirect
202. #64974	C₂²	semidirect
230. C₅×#127	C₂³	semidirect
231. C₅×#125	C₂³	semidirect
244. C₄×C₅×D₄	C₂³	semidirect
245. C₄×C₅×D₄	C₂³	semidirect
252. #4086	C₂³	semidirect
266. #4082	C₂³	semidirect
276. D₄×Dic₅	C₂³	semidirect
277. D₄×Dic₅	C₂³	semidirect
336. #4039	C₂³	semidirect
348. #4036	C₂³	semidirect
351. #4034	C₂³	semidirect
352. #4033	C₂³	semidirect
397. #4021	C₂³	semidirect
404. 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
423. C₅×#102	C₂³	semidirect
424. C₅×#102	C₂³	semidirect
425. C₅×#102	C₂³	semidirect
426. C₅×#102	C₂³	semidirect
429. C₅×#97	C₂³	semidirect
430. C₄×C₅×C₈	C₂³	semidirect
435. #3964	C₂³	semidirect
436. #3964	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
490. #3122	D₅	semidirect
579. D₄×D₅	#41	semidirect
580. D₄×D₅	#41	semidirect
755. #540	C₂×D₅	semidirect
776. #518	C₂×D₅	semidirect
795. #482	C₂×D₅	semidirect
796. #482	C₂×D₅	semidirect
809. #478	C₂×D₅	semidirect
810. #478	C₂×D₅	semidirect
833. #459	C₂×D₅	semidirect
834. #459	C₂×D₅	semidirect
850. #447	C₂×D₅	semidirect
861. #442	C₂×D₅	semidirect
862. #442	C₂×D₅	semidirect
881. C₄×D₈	C₂×D₅	semidirect
882. C₄×D₈	C₂×D₅	semidirect
886. #433	C₂×D₅	semidirect
1098. #127	C₂²×D₅	semidirect
1105. #125	C₂²×D₅	semidirect
1202. C₄×D₄	C₂²×D₅	semidirect
1203. C₄×D₄	C₂²×D₅	semidirect
1263. #107	C₂²×D₅	semidirect
1264. #107	C₂²×D₅	semidirect
1271. #106	C₂²×D₅	semidirect
1272. #106	C₂²×D₅	semidirect
1279. C₄⋊C₈	C₂²×D₅	semidirect
1280. C₄⋊C₈	C₂²×D₅	semidirect
1309. #102	C₂²×D₅	semidirect
1310. #102	C₂²×D₅	semidirect
1311. #102	C₂²×D₅	semidirect
1312. #102	C₂²×D₅	semidirect
1324. #97	C₂²×D₅	semidirect
1328. C₄×C₈	C₂²×D₅	semidirect
1764. C₅	#60578	semidirect

Maximal subgroups

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

subgroup	index
#10618386	2
D₅×#518	2
C₅×#3122	2
#10615166	2
#10614272	2
#10613104	2
#10613102	2
#10613085	2
#10613083	2
#10612900	2
#10612899	2
#10612874	2
#10612872	2
#10612065	2
#10612045	2
#10612043	2
#10611733	2
D₅×#447	2
#10611724	2
#10611723	2
#10611602	2
#10611600	2
#10611598	2
#10611597	2
#10611323	2
#10611321	2
#10611319	2
#10611318	2
#10611114	2
#10611105	2
#60578	5