Subgroups — #12970869

Order 1280.

2278 conjugacy classes of subgroups.

The subgroup lattice has 1970 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×#535	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3220	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615167	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615120	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613580	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613579	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613516	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613515	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613448	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613445	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613373	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613369	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612273	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612272	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612269	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612267	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612070	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612067	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612066	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612065	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611850	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611849	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611815	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611813	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611733	C₂	1	1	yes	maximal, characteristic, complemented
27	D₅×#447	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611730	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611729	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611123	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611105	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₅×#41	C₂²	1	1	yes	characteristic
33	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
34	C₅×#540	C₂²	1	1	yes	characteristic, complemented
35	C₅×#535	C₂²	1	1	yes	characteristic, complemented
36	#66164	C₂²	1	1	yes	characteristic, complemented
37	#66139	C₂²	1	1	yes	characteristic, complemented
38	C₂×#4062	C₂²	1	1	yes	characteristic, complemented
39	C₂×#4060	C₂²	1	1	yes	characteristic, complemented
40	C₂×#4058	C₂²	1	1	yes	characteristic, complemented
41	C₂×#4057	C₂²	1	1	yes	characteristic, complemented
42	C₂×#4057	C₂²	1	1	yes	characteristic, complemented
43	C₂×#4057	C₂²	1	1	yes	characteristic, complemented
44	C₂×D₅×D₈	C₂²	1	1	yes	characteristic, complemented
45	C₂×D₅×D₈	C₂²	1	1	yes	characteristic, complemented
46	#66050	C₂²	1	1	yes	characteristic, complemented
47	#66049	C₂²	1	1	yes	characteristic
48	#66049	C₂²	1	1	yes	characteristic
49	#66049	C₂²	1	1	yes	characteristic, complemented
50	D₅×#127	C₂²	1	1	yes	characteristic, complemented
51	D₅×#127	C₂²	1	1	yes	characteristic, complemented
52	#66025	C₂²	1	1	yes	characteristic, complemented
53	#66023	C₂²	1	1	yes	characteristic, complemented
54	#66008	C₂²	1	1	yes	characteristic
55	#66008	C₂²	1	1	yes	characteristic
56	D₅×#124	C₂²	1	1	yes	characteristic, complemented
57	D₅×#124	C₂²	1	1	yes	characteristic, complemented
58	#65995	—	2	1	no	—
59	#65993	—	2	1	no	—
60	#65992	—	2	1	no	—
61	#65989	—	2	1	no	—
62	#65953	C₂²	1	1	yes	characteristic, complemented
63	#65950	—	2	1	no	—
64	#65946	—	2	1	no	—
65	#65944	—	2	1	no	—
66	#65941	—	2	1	no	—
67	#65941	—	2	1	no	—
68	#65940	C₂²	1	1	yes	characteristic
69	D₅×#121	—	2	1	no	—
70	D₅×#121	—	2	1	no	—
71	D₅×#121	C₂²	1	1	yes	characteristic
72	#65937	C₂²	1	1	yes	characteristic, complemented
73	#65935	—	2	1	no	—
74	#65926	—	2	1	no	—
75	#65926	—	2	1	no	—
76	D₅×#120	—	2	1	no	—
77	D₅×#120	—	2	1	no	—
78	#65891	C₂²	1	1	yes	characteristic, complemented
79	#65882	C₂²	1	1	yes	characteristic, complemented
80	#65880	C₂²	1	1	yes	characteristic, complemented
81	#65879	C₂²	1	1	yes	characteristic, complemented
82	#65868	C₂²	1	1	yes	characteristic, complemented
83	#65859	C₂²	1	1	yes	characteristic, complemented
84	D₅×#117	C₂²	1	1	yes	characteristic
85	C₅×#496	C₂²	1	1	yes	characteristic, complemented
86	C₅×#493	C₂²	1	1	yes	characteristic, complemented
87	C₅×#490	C₂²	1	1	yes	characteristic, complemented
88	C₅×#488	C₂²	1	1	yes	characteristic, complemented
89	C₅×#463	C₂²	1	1	yes	characteristic, complemented
90	C₅×#463	C₂²	1	1	yes	characteristic, complemented
91	C₅×#459	C₂²	1	1	yes	characteristic, complemented
92	C₅×#459	C₂²	1	1	yes	characteristic, complemented
93	C₅×#449	C₂²	1	1	yes	characteristic, complemented
94	C₅×#449	C₂²	1	1	yes	characteristic, complemented
95	C₅×#447	C₂²	1	1	yes	characteristic, complemented
96	C₅×#447	C₂²	1	1	yes	characteristic, complemented
97	C₅×#433	C₂²	1	1	yes	characteristic, complemented
98	#65528	C₂²	1	1	yes	characteristic, complemented
99	#65527	C₂²	1	1	yes	characteristic, complemented
100	#65507	C₂²	1	1	yes	characteristic, complemented
101	#65506	C₂²	1	1	yes	characteristic, complemented
102	#65465	C₂²	1	1	yes	characteristic, complemented
103	#65459	C₂²	1	1	yes	characteristic, complemented
104	#65459	C₂²	1	1	yes	characteristic, complemented
105	#65457	C₂²	1	1	yes	characteristic, complemented
106	#65454	C₂²	1	1	yes	characteristic, complemented
107	#65454	C₂²	1	1	yes	characteristic, complemented
108	#65445	C₂²	1	1	yes	characteristic
109	#65445	C₂²	1	1	yes	characteristic
110	#65445	C₂²	1	1	yes	characteristic, complemented
111	#65445	C₂²	1	1	yes	characteristic, complemented
112	#65445	C₂²	1	1	yes	characteristic, complemented
113	#65445	C₂²	1	1	yes	characteristic, complemented
114	#65444	C₂²	1	1	yes	characteristic, complemented
115	#65443	C₂²	1	1	yes	characteristic, complemented
116	#65443	C₂²	1	1	yes	characteristic, complemented
117	#65443	C₂²	1	1	yes	characteristic, complemented
118	#65442	C₂²	1	1	yes	characteristic, complemented
119	#65442	C₂²	1	1	yes	characteristic, complemented
120	#65440	C₂²	1	1	yes	characteristic, complemented
121	#65440	C₂²	1	1	yes	characteristic, complemented
122	#65439	C₂²	1	1	yes	characteristic, complemented
123	#65439	C₂²	1	1	yes	characteristic, complemented
124	#65439	C₂²	1	1	yes	characteristic, complemented
125	#65439	C₂²	1	1	yes	characteristic, complemented
126	#65364	C₂²	1	1	yes	characteristic, complemented
127	#65363	C₂²	1	1	yes	characteristic, complemented
128	#65363	C₂²	1	1	yes	characteristic, complemented
129	#65362	C₂²	1	1	yes	characteristic, complemented
130	#65361	C₂²	1	1	yes	characteristic, complemented
131	#65359	C₂²	1	1	yes	characteristic, complemented
132	#65357	C₂²	1	1	yes	characteristic, complemented
133	#65356	C₂²	1	1	yes	characteristic, complemented
134	#65348	C₂²	1	1	yes	characteristic, complemented
135	#65346	C₂²	1	1	yes	characteristic, complemented
136	#65344	C₂²	1	1	yes	characteristic, complemented
137	#65343	C₂²	1	1	yes	characteristic, complemented
138	#65326	C₂²	1	1	yes	characteristic, complemented
139	#65326	C₂²	1	1	yes	characteristic, complemented
140	#65325	C₂²	1	1	yes	characteristic, complemented
141	#65325	C₂²	1	1	yes	characteristic, complemented
142	#65305	C₂²	1	1	yes	characteristic, complemented
143	#65305	C₂²	1	1	yes	characteristic, complemented
144	#65304	C₂²	1	1	yes	characteristic, complemented
145	#65304	C₂²	1	1	yes	characteristic, complemented
146	#65289	C₂²	1	1	yes	characteristic, complemented
147	#65137	C₂²	1	1	yes	characteristic, complemented
148	#65134	C₂²	1	1	yes	characteristic, complemented
149	#65133	C₂²	1	1	yes	characteristic, complemented
150	#65132	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	#65108	C₂²	1	1	yes	characteristic, complemented
156	#65097	C₂²	1	1	yes	characteristic, complemented
157	#65095	C₂²	1	1	yes	characteristic, complemented
158	#65093	C₂²	1	1	yes	characteristic, complemented
159	#65092	C₂²	1	1	yes	characteristic, complemented
160	#65089	C₂²	1	1	yes	characteristic, complemented
161	#65087	C₂²	1	1	yes	characteristic, complemented
162	#65084	C₂²	1	1	yes	characteristic, complemented
163	#65076	C₂²	1	1	yes	characteristic, complemented
164	#65075	C₂²	1	1	yes	characteristic, complemented
165	#65075	C₂²	1	1	yes	characteristic, complemented
166	#65065	C₂²	1	1	yes	characteristic, complemented
167	#65065	C₂²	1	1	yes	characteristic, complemented
168	#65065	C₂²	1	1	yes	characteristic, complemented
169	#65062	C₂²	1	1	yes	characteristic
170	#65062	C₂²	1	1	yes	characteristic
171	#65062	C₂²	1	1	yes	characteristic, complemented
172	#65061	C₂²	1	1	yes	characteristic, complemented
173	#65060	C₂²	1	1	yes	characteristic, complemented
174	#65059	C₂²	1	1	yes	characteristic, complemented
175	#65059	C₂²	1	1	yes	characteristic, complemented
176	D₅×#102	C₂²	1	1	yes	characteristic, complemented
177	D₅×#102	C₂²	1	1	yes	characteristic, complemented
178	#65057	C₂²	1	1	yes	characteristic, complemented
179	#65056	C₂²	1	1	yes	characteristic, complemented
180	#65054	C₂²	1	1	yes	characteristic, complemented
181	#65053	C₂²	1	1	yes	characteristic, complemented
182	#65053	C₂²	1	1	yes	characteristic, complemented
183	#65051	C₂²	1	1	yes	characteristic, complemented
184	#65051	C₂²	1	1	yes	characteristic, complemented
185	#65049	C₂²	1	1	yes	characteristic, complemented
186	#65049	C₂²	1	1	yes	characteristic, complemented
187	#65023	C₂²	1	1	yes	characteristic, complemented
188	#65022	C₂²	1	1	yes	characteristic, complemented
189	#65021	C₂²	1	1	yes	characteristic, complemented
190	#65020	C₂²	1	1	yes	characteristic, complemented
191	#65015	C₂²	1	1	yes	characteristic
192	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
193	#65009	C₂²	1	1	yes	characteristic, complemented
194	#65009	C₂²	1	1	yes	characteristic, complemented
195	#65003	C₂²	1	1	yes	characteristic, complemented
196	#65001	C₂²	1	1	yes	characteristic, complemented
197	#64997	C₂²	1	1	yes	characteristic, complemented
198	#64994	C₂²	1	1	yes	characteristic, complemented
199	#64985	C₂²	1	1	yes	characteristic, complemented
200	#64983	C₂²	1	1	yes	characteristic, complemented
201	#64978	C₂²	1	1	yes	characteristic, complemented
202	#64974	C₂²	1	1	yes	characteristic, complemented
203	#60811	—	5	1	no	maximal, Sylow
204	C₂⁴×D₅	—	2	1	no	—
205	C₂×C₅×#41	C₂³	1	1	yes	characteristic
206	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
207	C₂²×C₂²⋊D₅	—	2	1	no	—
208	D₅×#41	—	4	2	no	—
209	D₅×#41	—	4	2	no	—
210	C₂×#713	C₂³	1	1	yes	characteristic
211	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
212	C₂×#711	—	2	1	no	—
213	C₂×#711	—	2	1	no	—
214	C₂×#711	C₂³	1	1	yes	characteristic
215	C₂×#711	C₂³	1	1	yes	characteristic
216	C₂×D₄×D₅	—	2	1	no	—
217	C₂×D₄×D₅	—	2	1	no	—
218	C₂×D₄×D₅	—	2	1	no	—
219	C₂×D₄×D₅	—	2	1	no	—
220	C₂×D₄×D₅	—	2	1	no	—
221	C₂×D₄×D₅	—	2	1	no	—
222	C₂×D₄×D₅	—	2	1	no	—
223	C₂×D₄×D₅	—	2	1	no	—
224	C₂×D₄×D₅	—	4	2	no	—
225	C₂×D₄×D₅	—	4	2	no	—
226	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
227	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
228	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
229	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
230	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
231	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
232	C₂×#709	—	2	1	no	—
233	C₂×#709	—	2	1	no	—
234	C₂×#709	C₂³	1	1	yes	characteristic
235	C₂²×D₂₀	C₂³	1	1	yes	characteristic
236	C₂²×C₄×D₅	—	2	1	no	—
237	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
238	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic, complemented
239	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic, complemented
240	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
241	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
242	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
243	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
244	C₂×C₅×D₈	C₂³	1	1	yes	characteristic, complemented
245	C₂×C₅×D₈	C₂³	1	1	yes	characteristic, complemented
246	C₅×#127	C₂³	1	1	yes	characteristic
247	C₅×#127	C₂³	1	1	yes	characteristic
248	C₅×#127	C₂³	1	1	yes	characteristic, complemented
249	C₅×#125	C₂³	1	1	yes	characteristic, complemented
250	C₅×#124	C₂³	1	1	yes	characteristic
251	C₅×#124	C₂³	1	1	yes	characteristic
252	C₅×#123	—	2	1	no	—
253	C₅×#123	—	2	1	no	—
254	C₅×#121	—	2	1	no	—
255	C₅×#121	—	2	1	no	—
256	C₅×#121	—	2	1	no	—
257	C₅×#121	—	2	1	no	—
258	C₅×#121	C₂³	1	1	yes	characteristic
259	C₅×#121	C₂³	1	1	yes	characteristic
260	C₅×#120	—	2	1	no	—
261	C₅×#120	—	2	1	no	—
262	C₄×C₅×D₄	C₂³	1	1	yes	characteristic, complemented
263	C₄×C₅×D₄	C₂³	1	1	yes	characteristic, complemented
264	C₅×#117	C₂³	1	1	yes	characteristic
265	#4099	—	2	1	no	—
266	#4099	—	2	1	no	—
267	#4093	C₂³	1	1	yes	characteristic
268	#4093	C₂³	1	1	yes	characteristic
269	C₂×#689	C₂³	1	1	yes	characteristic, complemented
270	C₂×#688	C₂³	1	1	yes	characteristic, complemented
271	#4086	—	2	1	no	—
272	#4086	—	2	1	no	—
273	#4086	—	2	1	no	—
274	#4086	—	2	1	no	—
275	#4086	C₂³	1	1	yes	characteristic
276	#4086	C₂³	1	1	yes	characteristic
277	#4086	C₂³	1	1	yes	characteristic
278	#4086	C₂³	1	1	yes	characteristic
279	#4086	C₂³	1	1	yes	characteristic, complemented
280	#4085	—	2	1	no	—
281	#4085	—	2	1	no	—
282	#4085	—	2	1	no	—
283	#4085	—	2	1	no	—
284	#4085	—	2	1	no	—
285	#4085	—	2	1	no	—
286	#4085	—	2	1	no	—
287	#4085	—	2	1	no	—
288	#4084	—	2	1	no	—
289	#4084	—	2	1	no	—
290	#4084	—	2	1	no	—
291	#4084	—	2	1	no	—
292	#4084	C₂³	1	1	yes	characteristic
293	#4084	C₂³	1	1	yes	characteristic
294	#4083	—	2	1	no	—
295	#4083	—	2	1	no	—
296	#4083	—	2	1	no	—
297	#4083	—	2	1	no	—
298	#4083	—	2	1	no	—
299	#4083	—	2	1	no	—
300	#4083	—	2	1	no	—
301	#4083	—	2	1	no	—
302	#4083	—	2	1	no	—
303	#4082	—	2	1	no	—
304	#4082	—	2	1	no	—
305	#4082	C₂³	1	1	yes	characteristic
306	#4082	C₂³	1	1	yes	characteristic
307	#4082	C₂³	1	1	yes	characteristic, complemented
308	#4081	—	2	1	no	—
309	D₄×Dic₅	—	2	1	no	—
310	D₄×Dic₅	—	2	1	no	—
311	D₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
312	D₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
313	C₂×#687	C₂³	1	1	yes	characteristic
314	C₂×#687	C₂³	1	1	yes	characteristic
315	C₂×#687	C₂³	1	1	yes	characteristic, complemented
316	C₂×#687	C₂³	1	1	yes	characteristic, complemented
317	C₂×#687	C₂³	1	1	yes	characteristic, complemented
318	C₂×#686	C₂³	1	1	yes	characteristic
319	C₂×#686	C₂³	1	1	yes	characteristic
320	C₂×#686	C₂³	1	1	yes	characteristic
321	C₂×#686	C₂³	1	1	yes	characteristic
322	C₂×#686	C₂³	1	1	yes	characteristic
323	C₂×#686	C₂³	1	1	yes	characteristic
324	C₂×#686	C₂³	1	1	yes	characteristic, complemented
325	C₂×#686	C₂³	1	1	yes	characteristic, complemented
326	C₂×#686	C₂³	1	1	yes	characteristic, complemented
327	#4076	—	2	1	no	—
328	#4076	—	2	1	no	—
329	#4076	C₂³	1	1	yes	characteristic
330	C₄×C₂²⋊D₅	—	2	1	no	—
331	C₄×C₂²⋊D₅	—	2	1	no	—
332	C₄×C₂²⋊D₅	—	2	1	no	—
333	C₄×C₂²⋊D₅	—	2	1	no	—
334	C₂×#685	—	2	1	no	—
335	#4072	—	2	1	no	—
336	#4072	C₂³	1	1	yes	characteristic
337	#4070	C₂³	1	1	yes	characteristic
338	C₂×#683	—	2	1	no	—
339	#4062	—	4	2	no	—
340	#4060	—	4	2	no	—
341	#4058	—	4	2	no	—
342	#4057	—	4	2	no	—
343	#4057	—	4	2	no	—
344	#4057	—	4	2	no	—
345	D₅×D₈	—	4	2	no	—
346	D₅×D₈	—	4	2	no	—
347	C₂×Dic₂₀	C₂³	1	1	yes	characteristic, complemented
348	C₂×D₄₀	C₂³	1	1	yes	characteristic
349	C₂×D₄₀	C₂³	1	1	yes	characteristic
350	C₂×D₄₀	C₂³	1	1	yes	characteristic, complemented
351	C₂×#677	C₂³	1	1	yes	characteristic
352	C₂×#677	C₂³	1	1	yes	characteristic
353	C₂×#677	C₂³	1	1	yes	characteristic, complemented
354	C₂×#677	C₂³	1	1	yes	characteristic, complemented
355	C₂×#676	C₂³	1	1	yes	characteristic
356	C₂×#676	C₂³	1	1	yes	characteristic
357	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
358	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
359	#4044	—	2	1	no	—
360	#4044	—	2	1	no	—
361	#4043	—	2	1	no	—
362	#4043	C₂³	1	1	yes	characteristic
363	#4042	—	2	1	no	—
364	#4042	—	2	1	no	—
365	#4041	—	2	1	no	—
366	#4041	—	2	1	no	—
367	#4041	C₂³	1	1	yes	characteristic
368	#4040	—	2	1	no	—
369	#4039	—	2	1	no	—
370	#4039	C₂³	1	1	yes	characteristic, complemented
371	#4038	—	2	1	no	—
372	#4038	D₄	1	1	yes	characteristic
373	#4038	D₄	1	1	yes	characteristic
374	#4038	C₂³	1	1	yes	characteristic
375	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
376	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
377	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
378	#4036	C₂³	1	1	yes	characteristic, complemented
379	#4035	—	2	1	no	—
380	#4034	—	2	1	no	—
381	#4034	C₂³	1	1	yes	characteristic, complemented
382	#4033	C₂³	1	1	yes	characteristic, complemented
383	#4032	—	2	1	no	—
384	#4031	—	2	1	no	—
385	#4031	—	2	1	no	—
386	#4031	—	2	1	no	—
387	#4031	—	2	1	no	—
388	#4031	—	2	1	no	—
389	#4031	—	2	1	no	—
390	#4030	—	2	1	no	—
391	#4030	—	2	1	no	—
392	#4030	—	2	1	no	—
393	#4030	—	2	1	no	—
394	#4030	—	2	1	no	—
395	#4030	—	2	1	no	—
396	#4029	—	2	1	no	—
397	#4029	—	2	1	no	—
398	#4029	—	2	1	no	—
399	#4029	—	2	1	no	—
400	#4028	—	2	1	no	—
401	#4028	—	2	1	no	—
402	#4028	—	2	1	no	—
403	#4028	—	2	1	no	—
404	#4028	—	2	1	no	—
405	#4028	—	2	1	no	—
406	#4027	—	2	1	no	—
407	#4027	—	2	1	no	—
408	#4027	—	2	1	no	—
409	D₅×C₂²⋊C₄	—	2	1	no	—
410	D₅×C₂²⋊C₄	—	2	1	no	—
411	D₅×C₂²⋊C₄	—	2	1	no	—
412	D₅×C₂²⋊C₄	—	2	1	no	—
413	D₅×C₂²⋊C₄	—	2	1	no	—
414	D₅×C₂²⋊C₄	—	2	1	no	—
415	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
416	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
417	#4025	—	2	1	no	—
418	#4025	—	2	1	no	—
419	#4024	—	2	1	no	—
420	#4023	—	2	1	no	—
421	#4023	D₄	1	1	yes	characteristic
422	#4023	D₄	1	1	yes	characteristic
423	#4021	C₂³	1	1	yes	characteristic
424	#4021	C₂³	1	1	yes	characteristic
425	#4021	C₂³	1	1	yes	characteristic, complemented
426	#4020	C₂³	1	1	yes	characteristic
427	#4020	C₂³	1	1	yes	characteristic
428	C₄×D₂₀	C₂³	1	1	yes	characteristic, complemented
429	#4018	C₂³	1	1	yes	characteristic
430	#4018	C₂³	1	1	yes	characteristic
431	C₄²×D₅	C₂³	1	1	yes	characteristic
432	C₄²×D₅	C₂³	1	1	yes	characteristic
433	#4015	C₂³	1	1	yes	characteristic, complemented
434	C₄×Dic₁₀	C₂³	1	1	yes	characteristic, complemented
435	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
436	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
437	C₅×#103	C₂³	1	1	yes	characteristic, complemented
438	C₅×#103	C₂³	1	1	yes	characteristic, complemented
439	C₅×#102	C₂³	1	1	yes	characteristic
440	C₅×#102	C₂³	1	1	yes	characteristic
441	C₅×#102	C₂³	1	1	yes	characteristic
442	C₅×#102	C₂³	1	1	yes	characteristic
443	C₅×#102	C₂³	1	1	yes	characteristic, complemented
444	C₅×#102	C₂³	1	1	yes	characteristic, complemented
445	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
446	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
447	C₅×#97	C₂³	1	1	yes	characteristic, complemented
448	C₄×C₅×C₈	C₂³	1	1	yes	characteristic, complemented
449	#3967	C₂³	1	1	yes	characteristic, complemented
450	#3967	C₂³	1	1	yes	characteristic, complemented
451	#3964	C₂³	1	1	yes	characteristic
452	#3964	C₂³	1	1	yes	characteristic
453	#3964	C₂³	1	1	yes	characteristic
454	#3964	C₂³	1	1	yes	characteristic
455	#3964	C₂³	1	1	yes	characteristic, complemented
456	#3964	C₂³	1	1	yes	characteristic, complemented
457	C₂²⋊#168	C₂³	1	1	yes	characteristic
458	C₂²⋊#168	C₂³	1	1	yes	characteristic
459	#3953	C₂³	1	1	yes	characteristic
460	#3953	C₂³	1	1	yes	characteristic
461	#3953	C₂³	1	1	yes	characteristic
462	#3953	C₂³	1	1	yes	characteristic
463	#3953	C₂³	1	1	yes	characteristic, complemented
464	#3953	C₂³	1	1	yes	characteristic, complemented
465	#3952	C₂³	1	1	yes	characteristic
466	#3952	C₂³	1	1	yes	characteristic
467	#3952	C₂³	1	1	yes	characteristic
468	#3952	C₂³	1	1	yes	characteristic
469	#3948	C₂³	1	1	yes	characteristic, complemented
470	#3948	C₂³	1	1	yes	characteristic, complemented
471	#3947	C₂³	1	1	yes	characteristic, complemented
472	#3947	C₂³	1	1	yes	characteristic, complemented
473	#3946	C₂³	1	1	yes	characteristic, complemented
474	#3946	C₂³	1	1	yes	characteristic, complemented
475	#3946	C₂³	1	1	yes	characteristic, complemented
476	#3946	C₂³	1	1	yes	characteristic, complemented
477	C₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
478	C₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
479	#3942	C₂³	1	1	yes	characteristic, complemented
480	#3942	C₂³	1	1	yes	characteristic, complemented
481	#3941	C₂³	1	1	yes	characteristic
482	#3941	C₂³	1	1	yes	characteristic
483	#3941	C₂³	1	1	yes	characteristic
484	#3941	C₂³	1	1	yes	characteristic
485	#3941	C₂³	1	1	yes	characteristic, complemented
486	#3941	C₂³	1	1	yes	characteristic, complemented
487	C₄⋊#168	C₂³	1	1	yes	characteristic, complemented
488	C₄⋊#168	C₂³	1	1	yes	characteristic, complemented
489	#3935	C₂³	1	1	yes	characteristic, complemented
490	C₄×#168	C₂³	1	1	yes	characteristic, complemented
491	#3494	—	5	1	no	—
492	C₂×#535	—	5	1	no	—
493	#3224	—	5	1	no	—
494	#3224	—	5	1	no	—
495	#3224	—	5	1	no	—
496	#3224	—	5	1	no	—
497	#3220	—	5	1	no	—
498	#3220	—	5	1	no	—
499	#3220	—	5	1	no	—
500	#3220	D₅	1	1	yes	characteristic, complemented
501	#3217	—	5	1	no	—
502	#3217	—	5	1	no	—
503	#3213	—	5	1	no	—
504	#3213	—	5	1	no	—
505	#3211	—	5	1	no	—
506	#3211	—	5	1	no	—
507	#3205	—	5	1	no	—
508	#3205	—	5	1	no	—
509	#3155	—	5	1	no	—
510	#3155	—	5	1	no	—
511	#3136	—	5	1	no	—
512	#3136	—	5	1	no	—
513	#3045	—	5	1	no	—
514	#3045	—	5	1	no	—
515	#3041	—	5	1	no	—
516	#3041	—	5	1	no	—
517	#3006	—	5	1	no	—
518	#3003	—	5	1	no	—
519	#3002	—	5	1	no	—
520	C₂×#447	—	5	1	no	—
521	#2924	—	5	1	no	—
522	C₂⁴×C₅	—	2	1	no	—
523	C₂³×D₅	—	2	1	no	—
524	C₂³×D₅	—	2	1	no	—
525	C₂³×D₅	—	2	1	no	—
526	C₂³×D₅	—	2	1	no	—
527	C₂³×D₅	—	2	1	no	—
528	C₂³×D₅	—	2	1	no	—
529	C₂³×D₅	—	2	1	no	—
530	C₂³×D₅	—	4	4	no	—
531	C₂³×D₅	—	8	2	no	—
532	C₂³×D₅	—	8	2	no	—
533	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
534	C₅×#41	—	4	1	no	—
535	C₅×#41	—	4	1	no	—
536	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
537	C₂×C₅×D₄	—	2	1	no	—
538	C₂×C₅×D₄	—	2	1	no	—
539	C₂×C₅×D₄	—	2	1	no	—
540	C₂×C₅×D₄	—	2	1	no	—
541	C₂×C₅×D₄	—	2	1	no	—
542	C₂×C₅×D₄	—	2	1	no	—
543	C₂×C₅×D₄	—	2	1	no	—
544	C₂×C₅×D₄	—	2	1	no	—
545	C₂×C₅×D₄	—	2	1	no	—
546	C₂×C₅×D₄	—	2	1	no	—
547	C₂×C₅×D₄	—	4	1	no	—
548	C₂×C₅×D₄	—	4	1	no	—
549	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
550	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
551	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
552	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
553	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₅	—	2	1	no	—
555	C₂²×C₄×C₅	—	2	1	no	—
556	C₂²×C₄×C₅	—	2	1	no	—
557	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
558	C₂×C₂²⋊D₅	—	2	1	no	—
559	C₂×C₂²⋊D₅	—	2	1	no	—
560	C₂×C₂²⋊D₅	—	2	1	no	—
561	C₂×C₂²⋊D₅	—	2	1	no	—
562	C₂×C₂²⋊D₅	—	2	1	no	—
563	C₂×C₂²⋊D₅	—	2	1	no	—
564	C₂×C₂²⋊D₅	—	2	1	no	—
565	C₂×C₂²⋊D₅	—	2	1	no	—
566	C₂×C₂²⋊D₅	—	2	1	no	—
567	C₂×C₂²⋊D₅	—	2	1	no	—
568	C₂×C₂²⋊D₅	—	2	1	no	—
569	C₂×C₂²⋊D₅	—	2	1	no	—
570	C₂×C₂²⋊D₅	—	2	1	no	—
571	C₂×C₂²⋊D₅	—	2	1	no	—
572	C₂×C₂²⋊D₅	—	2	1	no	—
573	C₂×C₂²⋊D₅	—	2	1	no	—
574	C₂×C₂²⋊D₅	—	2	1	no	—
575	C₂×C₂²⋊D₅	—	2	1	no	—
576	C₂×C₂²⋊D₅	—	2	1	no	—
577	C₂×C₂²⋊D₅	—	2	1	no	—
578	C₂×C₂²⋊D₅	—	2	1	no	—
579	C₂×C₂²⋊D₅	—	2	1	no	—
580	C₂×C₂²⋊D₅	—	4	4	no	—
581	C₂²×Dic₅	—	2	1	no	—
582	C₂²×Dic₅	—	2	1	no	—
583	C₂²×Dic₅	—	2	1	no	—
584	C₂²×Dic₅	—	2	1	no	—
585	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
586	#713	—	2	2	no	—
587	#713	—	2	2	no	—
588	Q₈×D₅	—	4	1	no	—
589	Q₈×D₅	—	4	1	no	—
590	#711	—	2	2	no	—
591	#711	—	2	2	no	—
592	#711	—	2	2	no	—
593	#711	—	2	2	no	—
594	#711	—	4	4	no	—
595	#711	—	8	2	no	—
596	D₄×D₅	—	2	2	no	—
597	D₄×D₅	—	2	2	no	—
598	D₄×D₅	—	2	2	no	—
599	D₄×D₅	—	2	2	no	—
600	D₄×D₅	—	2	2	no	—
601	D₄×D₅	—	2	2	no	—
602	D₄×D₅	—	4	1	no	—
603	D₄×D₅	—	4	1	no	—
604	D₄×D₅	—	4	1	no	—
605	D₄×D₅	—	4	1	no	—
606	D₄×D₅	—	4	1	no	—
607	D₄×D₅	—	4	1	no	—
608	D₄×D₅	—	4	4	no	—
609	D₄×D₅	—	4	4	no	—
610	D₄×D₅	—	4	4	no	—
611	D₄×D₅	—	8	2	no	—
612	D₄×D₅	—	8	2	no	—
613	D₄×D₅	—	8	2	no	—
614	D₄×D₅	—	8	2	no	—
615	D₄×D₅	—	8	2	no	—
616	#709	—	4	1	no	—
617	#709	—	4	1	no	—
618	#709	—	4	4	no	—
619	#709	—	8	2	no	—
620	C₂×D₂₀	—	2	1	no	—
621	C₂×D₂₀	—	2	1	no	—
622	C₂×D₂₀	—	2	1	no	—
623	C₂×D₂₀	—	2	1	no	—
624	C₂×D₂₀	—	2	1	no	—
625	C₂×D₂₀	—	2	1	no	—
626	C₂×D₂₀	—	2	1	no	—
627	C₂×D₂₀	—	4	1	no	—
628	C₂×D₂₀	—	4	1	no	—
629	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
630	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
631	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
632	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
633	C₂×C₄×D₅	—	2	2	no	—
634	C₂×C₄×D₅	—	2	2	no	—
635	C₂×C₄×D₅	—	2	1	no	—
636	C₂×C₄×D₅	—	2	1	no	—
637	C₂×C₄×D₅	—	2	1	no	—
638	C₂×C₄×D₅	—	2	1	no	—
639	C₂×C₄×D₅	—	2	1	no	—
640	C₂×C₄×D₅	—	2	1	no	—
641	C₂×C₄×D₅	—	4	4	no	—
642	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
643	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
644	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
645	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
646	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
647	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
648	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
649	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
650	C₂×Dic₁₀	—	2	1	no	—
651	C₂×Dic₁₀	—	2	1	no	—
652	C₂×Dic₁₀	—	2	1	no	—
653	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
654	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
655	C₅×SD₁₆	—	4	1	no	—
656	C₅×SD₁₆	—	4	1	no	—
657	C₅×D₈	—	4	1	no	—
658	C₅×D₈	—	4	1	no	—
659	C₅×D₈	—	4	1	no	—
660	C₅×D₈	—	4	1	no	—
661	C₅×D₈	—	4	1	no	—
662	C₅×D₈	—	4	1	no	—
663	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
664	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
665	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
666	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
667	C₅×C₄⋊C₄	—	2	1	no	—
668	C₅×C₄⋊C₄	—	2	1	no	—
669	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
670	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
671	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
672	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
673	C₅×C₂²⋊C₄	—	2	1	no	—
674	C₅×C₂²⋊C₄	—	2	1	no	—
675	C₅×C₂²⋊C₄	—	2	1	no	—
676	C₅×C₂²⋊C₄	—	2	1	no	—
677	C₅×C₂²⋊C₄	—	2	1	no	—
678	C₅×C₂²⋊C₄	—	2	1	no	—
679	C₅×C₂²⋊C₄	—	2	1	no	—
680	C₅×C₂²⋊C₄	—	2	1	no	—
681	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
682	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
683	C₄²×C₅	C₂⁴	1	1	yes	characteristic
684	C₄²×C₅	C₂⁴	1	1	yes	characteristic
685	C₂²⋊Dic₅	—	2	1	no	—
686	C₂²⋊Dic₅	—	2	1	no	—
687	C₂²⋊Dic₅	—	2	1	no	—
688	C₂²⋊Dic₅	—	2	1	no	—
689	C₂²⋊Dic₅	—	2	1	no	—
690	C₂²⋊Dic₅	—	2	1	no	—
691	C₂²⋊Dic₅	—	2	1	no	—
692	C₂²⋊Dic₅	—	2	1	no	—
693	C₂²⋊Dic₅	—	2	1	no	—
694	C₂²⋊Dic₅	—	2	1	no	—
695	C₂²⋊Dic₅	—	2	1	no	—
696	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
697	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
698	#689	—	4	1	no	—
699	#688	—	4	1	no	—
700	#687	—	4	1	no	—
701	#687	—	4	1	no	—
702	#687	—	4	1	no	—
703	#687	—	4	1	no	—
704	#687	—	4	1	no	—
705	#686	—	4	1	no	—
706	#686	—	4	1	no	—
707	#686	—	4	1	no	—
708	#686	—	4	1	no	—
709	#686	—	4	1	no	—
710	#686	—	4	1	no	—
711	#686	—	4	1	no	—
712	#686	—	4	1	no	—
713	#686	—	4	1	no	—
714	#685	—	2	1	no	—
715	#685	—	2	1	no	—
716	#685	—	2	1	no	—
717	#685	—	2	1	no	—
718	#685	—	2	1	no	—
719	#685	—	2	1	no	—
720	#685	—	2	1	no	—
721	#685	—	2	1	no	—
722	#685	—	2	1	no	—
723	#685	—	2	1	no	—
724	#685	—	2	1	no	—
725	#685	—	2	1	no	—
726	#685	—	2	1	no	—
727	#685	—	2	1	no	—
728	#685	—	2	1	no	—
729	#685	—	2	1	no	—
730	#685	C₂×D₄	1	1	yes	characteristic
731	#685	C₂×D₄	1	1	yes	characteristic
732	#685	C₂×D₄	1	1	yes	characteristic
733	#685	C₂×D₄	1	1	yes	characteristic
734	C₄⋊Dic₅	—	2	1	no	—
735	C₄⋊Dic₅	—	2	1	no	—
736	C₄⋊Dic₅	—	2	1	no	—
737	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
738	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
739	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
740	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
741	#683	—	2	1	no	—
742	#683	—	2	1	no	—
743	#683	—	2	1	no	—
744	#683	—	2	1	no	—
745	#683	—	2	1	no	—
746	#683	—	2	1	no	—
747	#683	C₂×D₄	1	1	yes	characteristic
748	#683	C₂×D₄	1	1	yes	characteristic
749	#683	C₂×D₄	1	1	yes	characteristic
750	#683	C₂×D₄	1	1	yes	characteristic
751	C₄×Dic₅	—	2	1	no	—
752	C₄×Dic₅	—	2	1	no	—
753	C₄×Dic₅	—	2	1	no	—
754	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
755	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
756	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
757	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
758	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
759	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
760	C₂×#168	C₂⁴	1	1	yes	characteristic
761	C₂×#168	C₂⁴	1	1	yes	characteristic
762	C₂×#168	C₂⁴	1	1	yes	characteristic
763	C₂×#168	C₂⁴	1	1	yes	characteristic
764	Dic₂₀	—	4	1	no	—
765	D₄₀	—	4	1	no	—
766	D₄₀	—	4	1	no	—
767	D₄₀	—	4	1	no	—
768	#677	—	4	1	no	—
769	#677	—	4	1	no	—
770	#677	—	4	1	no	—
771	#677	—	4	1	no	—
772	#676	—	2	2	no	—
773	#676	—	2	2	no	—
774	C₈×D₅	—	2	2	no	—
775	C₈×D₅	—	2	2	no	—
776	C₂²×#41	—	5	1	no	—
777	C₂³×D₄	—	5	1	no	—
778	C₂×AGL(1,ℤ/8)	—	5	1	no	—
779	C₂×AGL(1,ℤ/8)	—	5	1	no	—
780	C₂×AGL(1,ℤ/8)	—	5	1	no	—
781	C₂×AGL(1,ℤ/8)	—	5	1	no	—
782	C₂×#135	—	5	1	no	—
783	C₂×#135	—	5	1	no	—
784	C₂²×D₈	—	5	1	no	—
785	C₂²×D₈	—	5	1	no	—
786	#555	—	10	1	no	—
787	#553	—	10	1	no	—
788	#553	—	10	1	no	—
789	#551	—	10	1	no	—
790	#551	—	10	1	no	—
791	#547	—	10	1	no	—
792	#546	—	10	1	no	—
793	#546	—	10	1	no	—
794	#544	—	5	1	no	—
795	#542	—	5	1	no	—
796	#542	—	5	1	no	—
797	#540	—	5	1	no	—
798	#540	C₂×D₅	1	1	yes	characteristic, complemented
799	#535	—	5	1	no	—
800	#535	—	5	1	no	—
801	#535	—	5	1	no	—
802	#535	—	5	1	no	—
803	#535	—	5	1	no	—
804	#535	—	5	1	no	—
805	#535	—	5	1	no	—
806	#535	—	5	1	no	—
807	#535	—	10	1	no	—
808	#535	—	10	1	no	—
809	#535	—	10	1	no	—
810	#535	—	10	1	no	—
811	#535	C₂×D₅	1	1	yes	characteristic, complemented
812	#532	—	5	1	no	—
813	#532	—	5	1	no	—
814	C₂×#127	—	5	1	no	—
815	C₂×#127	—	5	1	no	—
816	#529	—	5	1	no	—
817	#529	—	5	1	no	—
818	C₂×#124	—	5	1	no	—
819	C₂×#124	—	5	1	no	—
820	#525	—	5	1	no	—
821	C₂×#121	—	5	1	no	—
822	C₂×#121	—	10	1	no	—
823	C₂×#121	—	10	1	no	—
824	C₂×#120	—	10	1	no	—
825	C₂×#120	—	10	1	no	—
826	#520	—	5	1	no	—
827	#518	—	5	1	no	—
828	C₂×#117	—	5	1	no	—
829	#496	—	5	1	no	—
830	#496	—	5	1	no	—
831	#496	—	5	1	no	—
832	#496	—	5	1	no	—
833	#496	—	5	1	no	—
834	#496	—	5	1	no	—
835	#496	—	5	1	no	—
836	#496	C₂×D₅	1	1	yes	characteristic, complemented
837	#495	—	5	1	no	—
838	#495	—	5	1	no	—
839	#495	—	5	1	no	—
840	#495	—	5	1	no	—
841	#493	—	5	1	no	—
842	#493	—	5	1	no	—
843	#493	—	5	1	no	—
844	#493	C₂×D₅	1	1	yes	characteristic, complemented
845	#490	—	5	1	no	—
846	#490	—	5	1	no	—
847	#490	—	5	1	no	—
848	#490	C₂×D₅	1	1	yes	characteristic, complemented
849	#489	—	5	1	no	—
850	#489	—	5	1	no	—
851	#489	—	5	1	no	—
852	#489	—	5	1	no	—
853	#488	—	5	1	no	—
854	#488	—	5	1	no	—
855	#488	—	5	1	no	—
856	#488	C₂×D₅	1	1	yes	characteristic, complemented
857	#486	—	5	1	no	—
858	#486	—	5	1	no	—
859	#486	—	5	1	no	—
860	#486	—	5	1	no	—
861	#464	—	5	1	no	—
862	#464	—	5	1	no	—
863	#464	—	5	1	no	—
864	#464	—	5	1	no	—
865	#463	—	5	1	no	—
866	#463	—	5	1	no	—
867	#463	—	5	1	no	—
868	#463	—	5	1	no	—
869	#463	—	5	1	no	—
870	#463	—	5	1	no	—
871	#463	—	5	1	no	—
872	#463	—	5	1	no	—
873	#463	—	5	1	no	—
874	#463	—	5	1	no	—
875	#463	C₂×D₅	1	1	yes	characteristic, complemented
876	#463	C₂×D₅	1	1	yes	characteristic, complemented
877	#460	—	5	1	no	—
878	#460	—	5	1	no	—
879	#460	—	5	1	no	—
880	#460	—	5	1	no	—
881	#459	—	5	1	no	—
882	#459	—	5	1	no	—
883	#459	—	5	1	no	—
884	#459	—	5	1	no	—
885	#459	—	5	1	no	—
886	#459	—	5	1	no	—
887	#459	—	5	1	no	—
888	#459	—	5	1	no	—
889	#459	—	5	1	no	—
890	#459	—	5	1	no	—
891	#459	C₂×D₅	1	1	yes	characteristic, complemented
892	#459	C₂×D₅	1	1	yes	characteristic, complemented
893	#452	—	5	1	no	—
894	#452	—	5	1	no	—
895	#451	—	5	1	no	—
896	#450	—	5	1	no	—
897	#450	—	5	1	no	—
898	#450	—	5	1	no	—
899	#450	—	5	1	no	—
900	#450	—	5	1	no	—
901	#449	—	5	1	no	—
902	#449	—	5	1	no	—
903	#449	—	5	1	no	—
904	#449	—	5	1	no	—
905	#449	C₂×D₅	1	1	yes	characteristic, complemented
906	#449	C₂×D₅	1	1	yes	characteristic, complemented
907	#448	—	5	1	no	—
908	#448	—	5	1	no	—
909	#448	—	5	1	no	—
910	#447	—	5	1	no	—
911	#447	—	5	1	no	—
912	#447	—	5	1	no	—
913	#447	—	5	1	no	—
914	#447	—	5	1	no	—
915	#447	—	5	1	no	—
916	#447	—	5	1	no	—
917	#447	—	5	1	no	—
918	#447	—	5	1	no	—
919	#447	—	5	1	no	—
920	#447	—	5	1	no	—
921	#447	—	5	1	no	—
922	#447	—	5	1	no	—
923	#447	C₂×D₅	1	1	yes	characteristic, complemented
924	#447	C₂×D₅	1	1	yes	characteristic, complemented
925	#433	—	5	1	no	—
926	#433	—	5	1	no	—
927	#433	—	5	1	no	—
928	#433	C₂×D₅	1	1	yes	characteristic, complemented
929	#432	—	5	1	no	—
930	#432	—	5	1	no	—
931	#431	—	5	1	no	—
932	#431	—	5	1	no	—
933	#424	—	5	1	no	—
934	#424	—	5	1	no	—
935	#418	—	5	1	no	—
936	#418	—	5	1	no	—
937	#417	—	5	1	no	—
938	#417	—	5	1	no	—
939	#416	—	5	1	no	—
940	#416	—	5	1	no	—
941	C₂×#102	—	5	1	no	—
942	C₂×#102	—	5	1	no	—
943	#407	—	5	1	no	—
944	C₂×C₂²⋊C₈	—	5	1	no	—
945	#405	—	5	1	no	—
946	#405	—	5	1	no	—
947	C₂³×C₅	—	2	1	no	—
948	C₂³×C₅	—	2	1	no	—
949	C₂³×C₅	—	2	1	no	—
950	C₂³×C₅	—	2	1	no	—
951	C₂³×C₅	—	2	1	no	—
952	C₂³×C₅	—	4	2	no	—
953	C₂³×C₅	—	8	1	no	—
954	C₂³×C₅	—	8	1	no	—
955	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
956	C₂²×D₅	—	2	2	no	—
957	C₂²×D₅	—	2	2	no	—
958	C₂²×D₅	—	2	1	no	—
959	C₂²×D₅	—	2	1	no	—
960	C₂²×D₅	—	2	1	no	—
961	C₂²×D₅	—	2	1	no	—
962	C₂²×D₅	—	4	1	no	—
963	C₂²×D₅	—	4	2	no	—
964	C₂²×D₅	—	4	2	no	—
965	C₂²×D₅	—	4	2	no	—
966	C₂²×D₅	—	4	2	no	—
967	C₂²×D₅	—	4	2	no	—
968	C₂²×D₅	—	4	2	no	—
969	C₂²×D₅	—	4	2	no	—
970	C₂²×D₅	—	4	2	no	—
971	C₂²×D₅	—	4	2	no	—
972	C₂²×D₅	—	4	2	no	—
973	C₂²×D₅	—	4	2	no	—
974	C₂²×D₅	—	4	2	no	—
975	C₂²×D₅	—	4	2	no	—
976	C₂²×D₅	—	8	1	no	—
977	C₂²×D₅	—	8	1	no	—
978	C₂²×D₅	—	8	1	no	—
979	C₂²×D₅	—	8	1	no	—
980	C₂²×D₅	—	8	1	no	—
981	C₂²×D₅	—	8	1	no	—
982	C₂²×D₅	—	8	1	no	—
983	C₂²×D₅	—	8	1	no	—
984	C₂²×D₅	—	8	16	no	—
985	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
986	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
987	C₅×Q₈	—	2	1	no	—
988	C₅×Q₈	—	2	1	no	—
989	C₅×D₄	—	2	1	no	—
990	C₅×D₄	—	2	1	no	—
991	C₅×D₄	—	2	1	no	—
992	C₅×D₄	—	2	1	no	—
993	C₅×D₄	—	2	1	no	—
994	C₅×D₄	—	2	1	no	—
995	C₅×D₄	—	2	1	no	—
996	C₅×D₄	—	2	1	no	—
997	C₅×D₄	—	2	1	no	—
998	C₅×D₄	—	2	1	no	—
999	C₅×D₄	—	4	2	no	—
1000	C₅×D₄	—	4	2	no	—
1001	C₅×D₄	—	8	1	no	—
1002	C₅×D₄	—	8	1	no	—
1003	C₅×D₄	—	8	1	no	—
1004	C₅×D₄	—	8	1	no	—
1005	C₅×D₄	—	8	1	no	—
1006	C₅×D₄	—	8	1	no	—
1007	C₅×D₄	—	8	1	no	—
1008	C₅×D₄	—	8	1	no	—
1009	C₂×C₄×C₅	—	2	1	no	—
1010	C₂×C₄×C₅	—	2	1	no	—
1011	C₂×C₄×C₅	—	2	1	no	—
1012	C₂×C₄×C₅	—	2	1	no	—
1013	C₂×C₄×C₅	—	2	1	no	—
1014	C₂×C₄×C₅	—	4	2	no	—
1015	C₂×C₄×C₅	—	8	1	no	—
1016	C₂×C₄×C₅	—	8	1	no	—
1017	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1018	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1019	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1020	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1021	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1022	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1023	C₂²⋊D₅	—	4	2	no	—
1024	C₂²⋊D₅	—	4	2	no	—
1025	C₂²⋊D₅	—	4	2	no	—
1026	C₂²⋊D₅	—	4	2	no	—
1027	C₂²⋊D₅	—	4	2	no	—
1028	C₂²⋊D₅	—	4	2	no	—
1029	C₂²⋊D₅	—	4	2	no	—
1030	C₂²⋊D₅	—	4	2	no	—
1031	C₂²⋊D₅	—	4	2	no	—
1032	C₂²⋊D₅	—	4	2	no	—
1033	C₂²⋊D₅	—	4	2	no	—
1034	C₂²⋊D₅	—	8	1	no	—
1035	C₂²⋊D₅	—	8	1	no	—
1036	C₂²⋊D₅	—	8	1	no	—
1037	C₂²⋊D₅	—	8	1	no	—
1038	C₂²⋊D₅	—	8	1	no	—
1039	C₂²⋊D₅	—	8	1	no	—
1040	C₂²⋊D₅	—	8	1	no	—
1041	C₂²⋊D₅	—	8	1	no	—
1042	C₂²⋊D₅	—	8	1	no	—
1043	C₂²⋊D₅	—	8	1	no	—
1044	C₂²⋊D₅	—	8	1	no	—
1045	C₂×Dic₅	—	2	2	no	—
1046	C₂×Dic₅	—	2	1	no	—
1047	C₂×Dic₅	—	2	1	no	—
1048	C₂×Dic₅	—	2	1	no	—
1049	C₂×Dic₅	—	2	1	no	—
1050	C₂×Dic₅	—	4	2	no	—
1051	C₂×Dic₅	—	4	2	no	—
1052	C₂×Dic₅	—	8	1	no	—
1053	C₂×Dic₅	—	8	1	no	—
1054	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1055	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1056	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1057	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1058	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1059	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1060	D₂₀	—	2	1	no	—
1061	D₂₀	—	2	1	no	—
1062	D₂₀	—	2	1	no	—
1063	D₂₀	—	2	1	no	—
1064	D₂₀	—	2	1	no	—
1065	D₂₀	—	2	1	no	—
1066	D₂₀	—	2	1	no	—
1067	D₂₀	—	2	1	no	—
1068	D₂₀	—	4	2	no	—
1069	D₂₀	—	4	2	no	—
1070	D₂₀	—	4	2	no	—
1071	D₂₀	—	8	1	no	—
1072	D₂₀	—	8	1	no	—
1073	D₂₀	—	8	1	no	—
1074	D₂₀	—	8	1	no	—
1075	C₄×D₅	—	2	2	no	—
1076	C₄×D₅	—	2	2	no	—
1077	C₄×D₅	—	2	2	no	—
1078	C₄×D₅	—	2	1	no	—
1079	C₄×D₅	—	2	1	no	—
1080	C₄×D₅	—	2	2	no	—
1081	C₄×D₅	—	4	1	no	—
1082	C₄×D₅	—	4	1	no	—
1083	C₄×D₅	—	4	2	no	—
1084	C₄×D₅	—	4	2	no	—
1085	C₄×D₅	—	4	2	no	—
1086	C₄×D₅	—	8	1	no	—
1087	C₄×D₅	—	8	1	no	—
1088	C₄×D₅	—	8	1	no	—
1089	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1090	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1091	Dic₁₀	—	2	1	no	—
1092	Dic₁₀	—	2	1	no	—
1093	Dic₁₀	—	2	1	no	—
1094	Dic₁₀	—	2	1	no	—
1095	Dic₁₀	—	4	2	no	—
1096	Dic₁₀	—	8	1	no	—
1097	Dic₁₀	—	8	1	no	—
1098	C₅×C₈	—	2	1	no	—
1099	C₅×C₈	—	2	1	no	—
1100	C₅×C₈	—	2	1	no	—
1101	C₅×C₈	—	2	1	no	—
1102	#168	—	2	1	no	—
1103	#168	—	2	1	no	—
1104	#168	—	2	1	no	—
1105	#168	—	2	1	no	—
1106	C₂⁵	—	10	1	no	—
1107	C₂×#41	—	5	1	no	—
1108	C₂×#41	—	5	1	no	—
1109	C₂×#41	—	5	1	no	—
1110	C₂×#41	—	5	1	no	—
1111	C₂×#41	—	10	1	no	—
1112	C₂×#41	—	10	1	no	—
1113	C₂×#41	—	10	1	no	—
1114	C₂×#41	—	10	1	no	—
1115	C₂×#41	—	20	2	no	—
1116	C₂×#41	—	20	2	no	—
1117	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1118	C₂²×Q₈	—	5	1	no	—
1119	C₂²×D₄	—	5	1	no	—
1120	C₂²×D₄	—	5	1	no	—
1121	C₂²×D₄	—	5	1	no	—
1122	C₂²×D₄	—	5	1	no	—
1123	C₂²×D₄	—	5	1	no	—
1124	C₂²×D₄	—	5	1	no	—
1125	C₂²×D₄	—	5	1	no	—
1126	C₂²×D₄	—	10	1	no	—
1127	C₂²×D₄	—	10	1	no	—
1128	C₂²×D₄	—	10	1	no	—
1129	C₂²×D₄	—	10	1	no	—
1130	C₂²×D₄	—	10	1	no	—
1131	C₂²×D₄	—	10	1	no	—
1132	C₂²×D₄	—	10	1	no	—
1133	C₂²×D₄	—	10	1	no	—
1134	C₂²×D₄	—	10	1	no	—
1135	C₂²×D₄	—	20	2	no	—
1136	C₂²×D₄	—	20	2	no	—
1137	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1138	C₂³×C₄	—	5	1	no	—
1139	C₂³×C₄	—	10	1	no	—
1140	AGL(1,ℤ/8)	—	20	2	no	—
1141	AGL(1,ℤ/8)	—	20	2	no	—
1142	AGL(1,ℤ/8)	—	20	2	no	—
1143	AGL(1,ℤ/8)	—	20	2	no	—
1144	#135	—	20	2	no	—
1145	#135	—	20	2	no	—
1146	C₂×Q₁₆	—	5	1	no	—
1147	C₂×Q₁₆	—	5	1	no	—
1148	C₂×SD₁₆	—	5	1	no	—
1149	C₂×SD₁₆	—	5	1	no	—
1150	C₂×SD₁₆	—	5	1	no	—
1151	C₂×SD₁₆	—	5	1	no	—
1152	C₂×SD₁₆	—	5	1	no	—
1153	C₂×SD₁₆	—	5	1	no	—
1154	C₂×SD₁₆	—	5	1	no	—
1155	C₂×SD₁₆	—	5	1	no	—
1156	C₂×SD₁₆	—	5	1	no	—
1157	C₂×SD₁₆	—	5	1	no	—
1158	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1159	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1160	C₂×D₈	—	5	1	no	—
1161	C₂×D₈	—	5	1	no	—
1162	C₂×D₈	—	5	1	no	—
1163	C₂×D₈	—	5	1	no	—
1164	C₂×D₈	—	5	1	no	—
1165	C₂×D₈	—	5	1	no	—
1166	C₂×D₈	—	5	1	no	—
1167	C₂×D₈	—	5	1	no	—
1168	C₂×D₈	—	5	1	no	—
1169	C₂×D₈	—	5	1	no	—
1170	C₂×D₈	—	5	1	no	—
1171	C₂×D₈	—	5	1	no	—
1172	C₂×D₈	—	20	2	no	—
1173	C₂×D₈	—	20	2	no	—
1174	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1175	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1176	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1177	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1178	C₂×D₈	C₂²×D₅	1	1	yes	characteristic, complemented
1179	C₂×D₈	C₂²×D₅	1	1	yes	characteristic, complemented
1180	C₂×M₁₆	—	5	1	no	—
1181	C₂×M₁₆	—	5	1	no	—
1182	C₂²×C₈	—	5	1	no	—
1183	C₂²×C₈	—	5	1	no	—
1184	C₄⋊Q₈	—	5	1	no	—
1185	C₄⋊Q₈	—	5	1	no	—
1186	C₄⋊Q₈	—	10	1	no	—
1187	#127	—	5	1	no	—
1188	#127	—	5	1	no	—
1189	#127	—	5	1	no	—
1190	#127	—	5	1	no	—
1191	#127	—	5	1	no	—
1192	#127	—	5	1	no	—
1193	#127	—	5	1	no	—
1194	#127	—	10	1	no	—
1195	#127	—	10	1	no	—
1196	#127	—	10	1	no	—
1197	#127	—	10	1	no	—
1198	#127	C₂²×D₅	1	1	yes	characteristic
1199	#127	C₂²×D₅	1	1	yes	characteristic
1200	#127	C₂²×D₅	1	1	yes	characteristic, complemented
1201	#126	—	10	1	no	—
1202	#126	—	10	1	no	—
1203	#126	—	10	1	no	—
1204	#126	—	10	1	no	—
1205	#125	—	5	1	no	—
1206	#125	—	10	1	no	—
1207	#125	C₂²×D₅	1	1	yes	characteristic, complemented
1208	#124	—	5	1	no	—
1209	#124	—	5	1	no	—
1210	#124	—	5	1	no	—
1211	#124	—	5	1	no	—
1212	#124	—	5	1	no	—
1213	#124	—	5	1	no	—
1214	#124	—	5	1	no	—
1215	#124	—	5	1	no	—
1216	#124	—	10	1	no	—
1217	#124	—	10	1	no	—
1218	#124	—	10	1	no	—
1219	#124	—	10	1	no	—
1220	#124	—	10	1	no	—
1221	#124	—	10	1	no	—
1222	#124	—	10	1	no	—
1223	#124	—	10	1	no	—
1224	#124	C₂²×D₅	1	1	yes	characteristic
1225	#124	C₂²×D₅	1	1	yes	characteristic
1226	#123	—	2	1	no	—
1227	#123	—	2	1	no	—
1228	#123	—	10	1	no	—
1229	#123	—	10	1	no	—
1230	#123	—	10	1	no	—
1231	#123	—	10	1	no	—
1232	#123	—	10	1	no	—
1233	#123	—	10	1	no	—
1234	#123	—	10	1	no	—
1235	C₂²⋊Q₈	—	5	1	no	—
1236	C₂²⋊Q₈	—	5	1	no	—
1237	C₂²⋊Q₈	—	10	1	no	—
1238	C₂²⋊Q₈	—	10	1	no	—
1239	C₂²⋊Q₈	—	10	1	no	—
1240	C₂²⋊Q₈	—	10	1	no	—
1241	#121	—	2	1	no	—
1242	#121	—	2	1	no	—
1243	#121	—	2	1	no	—
1244	#121	—	2	1	no	—
1245	#121	—	5	1	no	—
1246	#121	—	5	1	no	—
1247	#121	—	5	1	no	—
1248	#121	—	5	1	no	—
1249	#121	—	10	1	no	—
1250	#121	—	10	1	no	—
1251	#121	—	10	1	no	—
1252	#121	—	10	1	no	—
1253	#121	—	10	1	no	—
1254	#121	—	10	1	no	—
1255	#121	—	10	1	no	—
1256	#121	—	10	1	no	—
1257	#121	—	10	1	no	—
1258	#121	—	10	1	no	—
1259	#121	—	10	1	no	—
1260	#121	—	10	1	no	—
1261	#121	—	10	1	no	—
1262	#121	—	10	1	no	—
1263	#121	—	10	1	no	—
1264	#121	—	10	1	no	—
1265	#121	—	10	1	no	—
1266	#121	—	10	1	no	—
1267	#121	—	10	1	no	—
1268	#121	—	10	1	no	—
1269	#121	—	10	1	no	—
1270	#121	—	10	1	no	—
1271	#121	C₂²×D₅	1	1	yes	characteristic
1272	#121	C₂²×D₅	1	1	yes	characteristic
1273	#120	—	2	1	no	—
1274	#120	—	2	1	no	—
1275	#120	—	10	1	no	—
1276	#120	—	10	1	no	—
1277	#120	—	10	1	no	—
1278	#120	—	10	1	no	—
1279	#120	—	10	1	no	—
1280	#120	—	10	1	no	—
1281	#120	—	10	1	no	—
1282	#120	—	10	1	no	—
1283	#120	—	10	1	no	—
1284	#120	—	10	1	no	—
1285	#120	—	10	1	no	—
1286	#120	—	10	1	no	—
1287	#120	—	10	1	no	—
1288	#120	—	10	1	no	—
1289	#120	—	10	1	no	—
1290	#120	—	10	1	no	—
1291	#120	—	10	1	no	—
1292	C₄×Q₈	—	5	1	no	—
1293	C₄×Q₈	—	5	1	no	—
1294	C₄×D₄	—	5	1	no	—
1295	C₄×D₄	—	5	1	no	—
1296	C₄×D₄	—	5	1	no	—
1297	C₄×D₄	—	5	1	no	—
1298	C₄×D₄	—	10	1	no	—
1299	C₄×D₄	—	10	1	no	—
1300	C₄×D₄	—	10	1	no	—
1301	C₄×D₄	—	10	1	no	—
1302	C₄×D₄	—	10	1	no	—
1303	C₄×D₄	—	10	1	no	—
1304	C₄×D₄	—	10	1	no	—
1305	C₄×D₄	—	10	1	no	—
1306	C₄×D₄	—	10	1	no	—
1307	C₄×D₄	—	10	1	no	—
1308	C₄×D₄	C₂²×D₅	1	1	yes	characteristic, complemented
1309	C₄×D₄	C₂²×D₅	1	1	yes	characteristic, complemented
1310	#117	—	5	1	no	—
1311	#117	—	5	1	no	—
1312	#117	—	5	1	no	—
1313	#117	—	5	1	no	—
1314	#117	—	5	1	no	—
1315	#117	—	5	1	no	—
1316	#117	—	5	1	no	—
1317	#117	—	5	1	no	—
1318	#117	—	10	1	no	—
1319	#117	—	10	1	no	—
1320	#117	—	10	1	no	—
1321	#117	C₂²×D₅	1	1	yes	characteristic
1322	C₂×C₄⋊C₄	—	5	1	no	—
1323	C₂×C₄⋊C₄	—	5	1	no	—
1324	C₂×C₄⋊C₄	—	5	1	no	—
1325	C₂×C₄⋊C₄	—	10	1	no	—
1326	C₂×C₂²⋊C₄	—	5	1	no	—
1327	C₂×C₂²⋊C₄	—	5	1	no	—
1328	C₂×C₂²⋊C₄	—	10	1	no	—
1329	C₂×C₂²⋊C₄	—	10	1	no	—
1330	C₂×C₂²⋊C₄	—	10	1	no	—
1331	C₂×C₂²⋊C₄	—	10	1	no	—
1332	C₂×C₂²⋊C₄	—	10	1	no	—
1333	C₂×C₂²⋊C₄	—	10	1	no	—
1334	C₂×C₂²⋊C₄	—	10	1	no	—
1335	C₂×C₄²	—	5	1	no	—
1336	C₂×C₄²	—	5	1	no	—
1337	C₄⋊C₈	—	5	1	no	—
1338	C₄⋊C₈	—	5	1	no	—
1339	C₄⋊C₈	—	5	1	no	—
1340	C₄⋊C₈	—	5	1	no	—
1341	C₄⋊C₈	—	5	1	no	—
1342	C₄⋊C₈	—	5	1	no	—
1343	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1344	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1345	#103	—	5	1	no	—
1346	#103	—	5	1	no	—
1347	#103	—	5	1	no	—
1348	#103	—	5	1	no	—
1349	#103	—	5	1	no	—
1350	#103	—	5	1	no	—
1351	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1352	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1353	#102	—	5	1	no	—
1354	#102	—	5	1	no	—
1355	#102	—	5	1	no	—
1356	#102	—	5	1	no	—
1357	#102	—	5	1	no	—
1358	#102	—	5	1	no	—
1359	#102	—	5	1	no	—
1360	#102	—	5	1	no	—
1361	#102	—	5	1	no	—
1362	#102	—	5	1	no	—
1363	#102	—	5	1	no	—
1364	#102	—	5	1	no	—
1365	#102	—	5	1	no	—
1366	#102	—	5	1	no	—
1367	#102	—	5	1	no	—
1368	#102	—	5	1	no	—
1369	#102	—	5	1	no	—
1370	#102	—	5	1	no	—
1371	#102	C₂²×D₅	1	1	yes	characteristic
1372	#102	C₂²×D₅	1	1	yes	characteristic
1373	#102	C₂²×D₅	1	1	yes	characteristic
1374	#102	C₂²×D₅	1	1	yes	characteristic
1375	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1376	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1377	C₂²⋊C₈	—	5	1	no	—
1378	C₂²⋊C₈	—	5	1	no	—
1379	C₂²⋊C₈	—	5	1	no	—
1380	C₂²⋊C₈	—	5	1	no	—
1381	C₂²⋊C₈	—	5	1	no	—
1382	C₂²⋊C₈	—	5	1	no	—
1383	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1384	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1385	#97	—	5	1	no	—
1386	#97	—	5	1	no	—
1387	#97	—	5	1	no	—
1388	#97	C₂²×D₅	1	1	yes	characteristic, complemented
1389	C₄×C₈	—	5	1	no	—
1390	C₄×C₈	—	5	1	no	—
1391	C₄×C₈	—	5	1	no	—
1392	C₄×C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1393	C₂²×C₅	—	2	1	no	—
1394	C₂²×C₅	—	2	1	no	—
1395	C₂²×C₅	—	2	1	no	—
1396	C₂²×C₅	—	4	1	no	—
1397	C₂²×C₅	—	4	1	no	—
1398	C₂²×C₅	—	4	1	no	—
1399	C₂²×C₅	—	4	1	no	—
1400	C₂²×C₅	—	4	1	no	—
1401	C₂²×C₅	—	4	1	no	—
1402	C₂²×C₅	—	4	1	no	—
1403	C₂²×C₅	—	4	1	no	—
1404	C₂²×C₅	—	4	1	no	—
1405	C₂²×C₅	—	4	1	no	—
1406	C₂²×C₅	—	4	1	no	—
1407	C₂²×C₅	—	4	1	no	—
1408	C₂²×C₅	—	4	1	no	—
1409	C₂²×C₅	—	4	1	no	—
1410	C₂²×C₅	—	4	1	no	—
1411	C₂²×C₅	—	8	4	no	—
1412	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1413	C₂×D₅	—	2	1	no	—
1414	C₂×D₅	—	2	1	no	—
1415	C₂×D₅	—	2	1	no	—
1416	C₂×D₅	—	2	1	no	—
1417	C₂×D₅	—	4	4	no	—
1418	C₂×D₅	—	4	1	no	—
1419	C₂×D₅	—	4	1	no	—
1420	C₂×D₅	—	4	1	no	—
1421	C₂×D₅	—	4	1	no	—
1422	C₂×D₅	—	4	1	no	—
1423	C₂×D₅	—	4	1	no	—
1424	C₂×D₅	—	4	1	no	—
1425	C₂×D₅	—	4	1	no	—
1426	C₂×D₅	—	4	1	no	—
1427	C₂×D₅	—	4	1	no	—
1428	C₂×D₅	—	4	1	no	—
1429	C₂×D₅	—	4	1	no	—
1430	C₂×D₅	—	8	4	no	—
1431	C₂×D₅	—	8	4	no	—
1432	C₂×D₅	—	8	4	no	—
1433	C₂×D₅	—	8	4	no	—
1434	C₂×D₅	—	8	4	no	—
1435	C₂×D₅	—	8	4	no	—
1436	C₂×D₅	—	16	2	no	—
1437	C₂×D₅	#535	1	2	yes	—
1438	C₂×D₅	#576	1	2	yes	—
1439	C₄×C₅	—	2	1	no	—
1440	C₄×C₅	—	2	1	no	—
1441	C₄×C₅	—	2	1	no	—
1442	C₄×C₅	—	2	1	no	—
1443	C₄×C₅	—	2	1	no	—
1444	C₄×C₅	—	4	1	no	—
1445	C₄×C₅	—	4	1	no	—
1446	C₄×C₅	—	4	1	no	—
1447	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1448	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1449	Dic₅	—	2	1	no	—
1450	Dic₅	—	2	1	no	—
1451	Dic₅	—	2	1	no	—
1452	Dic₅	—	2	1	no	—
1453	Dic₅	—	2	1	no	—
1454	Dic₅	—	4	1	no	—
1455	Dic₅	—	4	1	no	—
1456	Dic₅	—	4	1	no	—
1457	Dic₅	—	4	1	no	—
1458	Dic₅	#535	1	2	yes	—
1459	C₂⁴	—	2	1	no	—
1460	C₂⁴	—	5	1	no	—
1461	C₂⁴	—	10	1	no	—
1462	C₂⁴	—	10	1	no	—
1463	C₂⁴	—	10	1	no	—
1464	C₂⁴	—	10	1	no	—
1465	C₂⁴	—	10	1	no	—
1466	C₂⁴	—	10	1	no	—
1467	C₂⁴	—	10	1	no	—
1468	C₂⁴	—	20	4	no	—
1469	C₂⁴	—	40	2	no	—
1470	C₂⁴	—	40	2	no	—
1471	#41	—	4	1	no	—
1472	#41	—	4	1	no	—
1473	#41	—	10	2	no	—
1474	#41	—	10	2	no	—
1475	#41	—	10	2	no	—
1476	#41	—	10	2	no	—
1477	#41	—	10	2	no	—
1478	#41	—	10	2	no	—
1479	#41	—	20	1	no	—
1480	#41	—	20	1	no	—
1481	#41	—	20	4	no	—
1482	#41	—	20	4	no	—
1483	#41	—	40	2	no	—
1484	#41	—	40	2	no	—
1485	C₂×Q₈	—	5	1	no	—
1486	C₂×Q₈	—	5	1	no	—
1487	C₂×Q₈	—	10	1	no	—
1488	C₂×Q₈	—	10	1	no	—
1489	C₂×Q₈	—	10	1	no	—
1490	C₂×Q₈	—	20	1	no	—
1491	C₂×Q₈	—	20	1	no	—
1492	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1493	C₂×D₄	—	2	1	no	—
1494	C₂×D₄	—	2	1	no	—
1495	C₂×D₄	—	2	1	no	—
1496	C₂×D₄	—	2	1	no	—
1497	C₂×D₄	—	2	1	no	—
1498	C₂×D₄	—	2	1	no	—
1499	C₂×D₄	—	2	1	no	—
1500	C₂×D₄	—	2	1	no	—
1501	C₂×D₄	—	2	1	no	—
1502	C₂×D₄	—	2	1	no	—
1503	C₂×D₄	—	4	1	no	—
1504	C₂×D₄	—	4	1	no	—
1505	C₂×D₄	—	5	1	no	—
1506	C₂×D₄	—	5	1	no	—
1507	C₂×D₄	—	5	1	no	—
1508	C₂×D₄	—	5	1	no	—
1509	C₂×D₄	—	10	1	no	—
1510	C₂×D₄	—	10	1	no	—
1511	C₂×D₄	—	10	2	no	—
1512	C₂×D₄	—	10	2	no	—
1513	C₂×D₄	—	10	2	no	—
1514	C₂×D₄	—	10	2	no	—
1515	C₂×D₄	—	10	2	no	—
1516	C₂×D₄	—	10	2	no	—
1517	C₂×D₄	—	10	1	no	—
1518	C₂×D₄	—	10	1	no	—
1519	C₂×D₄	—	10	1	no	—
1520	C₂×D₄	—	10	1	no	—
1521	C₂×D₄	—	10	1	no	—
1522	C₂×D₄	—	10	1	no	—
1523	C₂×D₄	—	10	1	no	—
1524	C₂×D₄	—	10	1	no	—
1525	C₂×D₄	—	10	1	no	—
1526	C₂×D₄	—	10	1	no	—
1527	C₂×D₄	—	10	1	no	—
1528	C₂×D₄	—	10	1	no	—
1529	C₂×D₄	—	10	1	no	—
1530	C₂×D₄	—	10	1	no	—
1531	C₂×D₄	—	10	1	no	—
1532	C₂×D₄	—	10	1	no	—
1533	C₂×D₄	—	10	1	no	—
1534	C₂×D₄	—	10	1	no	—
1535	C₂×D₄	—	10	1	no	—
1536	C₂×D₄	—	10	1	no	—
1537	C₂×D₄	—	10	1	no	—
1538	C₂×D₄	—	10	1	no	—
1539	C₂×D₄	—	10	1	no	—
1540	C₂×D₄	—	10	1	no	—
1541	C₂×D₄	—	10	1	no	—
1542	C₂×D₄	—	10	1	no	—
1543	C₂×D₄	—	10	1	no	—
1544	C₂×D₄	—	20	1	no	—
1545	C₂×D₄	—	20	1	no	—
1546	C₂×D₄	—	20	1	no	—
1547	C₂×D₄	—	20	1	no	—
1548	C₂×D₄	—	20	1	no	—
1549	C₂×D₄	—	20	1	no	—
1550	C₂×D₄	—	20	1	no	—
1551	C₂×D₄	—	20	1	no	—
1552	C₂×D₄	—	20	4	no	—
1553	C₂×D₄	—	20	4	no	—
1554	C₂×D₄	—	20	4	no	—
1555	C₂×D₄	—	20	4	no	—
1556	C₂×D₄	—	40	2	no	—
1557	C₂×D₄	—	40	2	no	—
1558	C₂×D₄	—	40	2	no	—
1559	C₂×D₄	—	40	2	no	—
1560	C₂×D₄	—	40	2	no	—
1561	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1562	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1563	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1564	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1565	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1566	C₂²×C₄	—	2	1	no	—
1567	C₂²×C₄	—	2	1	no	—
1568	C₂²×C₄	—	2	1	no	—
1569	C₂²×C₄	—	5	1	no	—
1570	C₂²×C₄	—	5	1	no	—
1571	C₂²×C₄	—	5	1	no	—
1572	C₂²×C₄	—	5	1	no	—
1573	C₂²×C₄	—	5	1	no	—
1574	C₂²×C₄	—	5	1	no	—
1575	C₂²×C₄	—	5	1	no	—
1576	C₂²×C₄	—	5	1	no	—
1577	C₂²×C₄	—	5	1	no	—
1578	C₂²×C₄	—	10	2	no	—
1579	C₂²×C₄	—	10	2	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	—	20	4	no	—
1591	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1592	Q₁₆	—	20	1	no	—
1593	Q₁₆	—	20	1	no	—
1594	SD₁₆	—	4	1	no	—
1595	SD₁₆	—	4	1	no	—
1596	SD₁₆	—	20	1	no	—
1597	SD₁₆	—	20	1	no	—
1598	SD₁₆	—	20	1	no	—
1599	SD₁₆	—	20	1	no	—
1600	SD₁₆	—	20	1	no	—
1601	SD₁₆	—	20	1	no	—
1602	SD₁₆	—	20	1	no	—
1603	SD₁₆	—	20	1	no	—
1604	SD₁₆	—	20	1	no	—
1605	SD₁₆	—	20	1	no	—
1606	D₈	—	4	1	no	—
1607	D₈	—	4	1	no	—
1608	D₈	—	4	1	no	—
1609	D₈	—	4	1	no	—
1610	D₈	—	4	1	no	—
1611	D₈	—	4	1	no	—
1612	D₈	—	20	1	no	—
1613	D₈	—	20	1	no	—
1614	D₈	—	20	1	no	—
1615	D₈	—	20	1	no	—
1616	D₈	—	20	1	no	—
1617	D₈	—	20	1	no	—
1618	D₈	—	20	1	no	—
1619	D₈	—	20	1	no	—
1620	D₈	—	20	1	no	—
1621	D₈	—	20	1	no	—
1622	D₈	—	20	1	no	—
1623	D₈	—	20	1	no	—
1624	M₁₆	—	10	2	no	—
1625	M₁₆	—	10	2	no	—
1626	C₂×C₈	—	5	1	no	—
1627	C₂×C₈	—	5	1	no	—
1628	C₂×C₈	—	5	1	no	—
1629	C₂×C₈	—	5	1	no	—
1630	C₂×C₈	—	10	2	no	—
1631	C₂×C₈	—	10	2	no	—
1632	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1633	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1634	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1635	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1636	C₄⋊C₄	—	2	1	no	—
1637	C₄⋊C₄	—	2	1	no	—
1638	C₄⋊C₄	—	5	1	no	—
1639	C₄⋊C₄	—	5	1	no	—
1640	C₄⋊C₄	—	5	1	no	—
1641	C₄⋊C₄	—	5	1	no	—
1642	C₄⋊C₄	—	5	1	no	—
1643	C₄⋊C₄	—	5	1	no	—
1644	C₄⋊C₄	—	5	1	no	—
1645	C₄⋊C₄	—	5	1	no	—
1646	C₄⋊C₄	—	10	1	no	—
1647	C₄⋊C₄	—	10	1	no	—
1648	C₄⋊C₄	—	10	1	no	—
1649	C₄⋊C₄	—	10	1	no	—
1650	C₄⋊C₄	—	10	1	no	—
1651	C₄⋊C₄	—	10	1	no	—
1652	C₄⋊C₄	—	10	1	no	—
1653	C₄⋊C₄	—	10	1	no	—
1654	C₄⋊C₄	—	10	1	no	—
1655	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1656	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1657	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1658	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1659	C₂²⋊C₄	—	2	1	no	—
1660	C₂²⋊C₄	—	2	1	no	—
1661	C₂²⋊C₄	—	2	1	no	—
1662	C₂²⋊C₄	—	2	1	no	—
1663	C₂²⋊C₄	—	2	1	no	—
1664	C₂²⋊C₄	—	2	1	no	—
1665	C₂²⋊C₄	—	2	1	no	—
1666	C₂²⋊C₄	—	2	1	no	—
1667	C₂²⋊C₄	—	5	1	no	—
1668	C₂²⋊C₄	—	5	1	no	—
1669	C₂²⋊C₄	—	5	1	no	—
1670	C₂²⋊C₄	—	5	1	no	—
1671	C₂²⋊C₄	—	5	1	no	—
1672	C₂²⋊C₄	—	5	1	no	—
1673	C₂²⋊C₄	—	10	1	no	—
1674	C₂²⋊C₄	—	10	1	no	—
1675	C₂²⋊C₄	—	10	1	no	—
1676	C₂²⋊C₄	—	10	1	no	—
1677	C₂²⋊C₄	—	10	1	no	—
1678	C₂²⋊C₄	—	10	1	no	—
1679	C₂²⋊C₄	—	10	1	no	—
1680	C₂²⋊C₄	—	10	1	no	—
1681	C₂²⋊C₄	—	10	1	no	—
1682	C₂²⋊C₄	—	10	1	no	—
1683	C₂²⋊C₄	—	10	1	no	—
1684	C₂²⋊C₄	—	10	1	no	—
1685	C₂²⋊C₄	—	10	1	no	—
1686	C₂²⋊C₄	—	10	1	no	—
1687	C₂²⋊C₄	—	10	1	no	—
1688	C₂²⋊C₄	—	10	1	no	—
1689	C₂²⋊C₄	—	10	1	no	—
1690	C₂²⋊C₄	—	10	1	no	—
1691	C₂²⋊C₄	—	10	1	no	—
1692	C₂²⋊C₄	—	10	1	no	—
1693	C₂²⋊C₄	—	10	1	no	—
1694	C₂²⋊C₄	—	10	1	no	—
1695	C₂²⋊C₄	—	10	1	no	—
1696	C₂²⋊C₄	—	10	1	no	—
1697	C₂²⋊C₄	—	10	1	no	—
1698	C₂²⋊C₄	—	10	1	no	—
1699	C₂²⋊C₄	—	10	1	no	—
1700	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1701	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1702	C₄²	—	5	1	no	—
1703	C₄²	—	5	1	no	—
1704	C₄²	—	5	1	no	—
1705	C₄²	—	5	1	no	—
1706	C₄²	—	5	1	no	—
1707	C₄²	—	5	1	no	—
1708	C₄²	—	10	1	no	—
1709	C₄²	—	10	1	no	—
1710	C₄²	—	10	1	no	—
1711	C₄²	C₂³×D₅	1	1	yes	characteristic
1712	C₄²	C₂³×D₅	1	1	yes	characteristic
1713	C₂×C₅	—	4	1	no	—
1714	C₂×C₅	—	8	1	no	—
1715	C₂×C₅	—	8	1	no	—
1716	C₂×C₅	—	8	1	no	—
1717	C₂×C₅	—	8	1	no	—
1718	C₂×C₅	—	8	1	no	—
1719	C₂×C₅	C₂×#535	1	1	yes	characteristic
1720	C₂×C₅	C₂×#576	1	1	yes	characteristic
1721	C₂×C₅	#3585	1	1	yes	characteristic
1722	D₅	—	2	2	no	—
1723	D₅	—	2	2	no	—
1724	D₅	—	8	1	no	—
1725	D₅	—	8	1	no	—
1726	D₅	—	8	1	no	—
1727	D₅	—	8	1	no	—
1728	C₂³	—	2	1	no	—
1729	C₂³	—	2	1	no	—
1730	C₂³	—	2	1	no	—
1731	C₂³	—	2	1	no	—
1732	C₂³	—	2	1	no	—
1733	C₂³	—	4	2	no	—
1734	C₂³	—	5	1	no	—
1735	C₂³	—	5	1	no	—
1736	C₂³	—	8	1	no	—
1737	C₂³	—	8	1	no	—
1738	C₂³	—	10	2	no	—
1739	C₂³	—	10	2	no	—
1740	C₂³	—	10	1	no	—
1741	C₂³	—	10	1	no	—
1742	C₂³	—	10	1	no	—
1743	C₂³	—	10	1	no	—
1744	C₂³	—	20	1	no	—
1745	C₂³	—	20	2	no	—
1746	C₂³	—	20	2	no	—
1747	C₂³	—	20	2	no	—
1748	C₂³	—	20	2	no	—
1749	C₂³	—	20	2	no	—
1750	C₂³	—	20	2	no	—
1751	C₂³	—	20	2	no	—
1752	C₂³	—	20	2	no	—
1753	C₂³	—	20	2	no	—
1754	C₂³	—	20	2	no	—
1755	C₂³	—	20	2	no	—
1756	C₂³	—	20	2	no	—
1757	C₂³	—	20	2	no	—
1758	C₂³	—	40	1	no	—
1759	C₂³	—	40	1	no	—
1760	C₂³	—	40	1	no	—
1761	C₂³	—	40	1	no	—
1762	C₂³	—	40	1	no	—
1763	C₂³	—	40	1	no	—
1764	C₂³	—	40	1	no	—
1765	C₂³	—	40	1	no	—
1766	C₂³	—	40	16	no	—
1767	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1768	Q₈	—	2	1	no	—
1769	Q₈	—	2	1	no	—
1770	Q₈	—	10	1	no	—
1771	Q₈	—	10	1	no	—
1772	Q₈	—	10	1	no	—
1773	Q₈	—	10	1	no	—
1774	Q₈	—	20	2	no	—
1775	Q₈	—	40	1	no	—
1776	Q₈	—	40	1	no	—
1777	D₄	—	2	1	no	—
1778	D₄	—	2	1	no	—
1779	D₄	—	2	1	no	—
1780	D₄	—	2	1	no	—
1781	D₄	—	2	1	no	—
1782	D₄	—	2	1	no	—
1783	D₄	—	2	1	no	—
1784	D₄	—	2	1	no	—
1785	D₄	—	2	1	no	—
1786	D₄	—	2	1	no	—
1787	D₄	—	4	2	no	—
1788	D₄	—	4	2	no	—
1789	D₄	—	8	1	no	—
1790	D₄	—	8	1	no	—
1791	D₄	—	8	1	no	—
1792	D₄	—	8	1	no	—
1793	D₄	—	8	1	no	—
1794	D₄	—	8	1	no	—
1795	D₄	—	8	1	no	—
1796	D₄	—	8	1	no	—
1797	D₄	—	10	1	no	—
1798	D₄	—	10	1	no	—
1799	D₄	—	10	1	no	—
1800	D₄	—	10	1	no	—
1801	D₄	—	10	1	no	—
1802	D₄	—	10	1	no	—
1803	D₄	—	10	1	no	—
1804	D₄	—	10	1	no	—
1805	D₄	—	20	2	no	—
1806	D₄	—	20	2	no	—
1807	D₄	—	20	2	no	—
1808	D₄	—	20	2	no	—
1809	D₄	—	20	2	no	—
1810	D₄	—	20	2	no	—
1811	D₄	—	20	2	no	—
1812	D₄	—	20	2	no	—
1813	D₄	—	20	2	no	—
1814	D₄	—	20	2	no	—
1815	D₄	—	20	2	no	—
1816	D₄	—	20	2	no	—
1817	D₄	—	20	2	no	—
1818	D₄	—	20	2	no	—
1819	D₄	—	40	1	no	—
1820	D₄	—	40	1	no	—
1821	D₄	—	40	1	no	—
1822	D₄	—	40	1	no	—
1823	D₄	—	40	1	no	—
1824	D₄	—	40	1	no	—
1825	D₄	—	40	1	no	—
1826	D₄	—	40	1	no	—
1827	D₄	—	40	1	no	—
1828	D₄	—	40	1	no	—
1829	D₄	—	40	1	no	—
1830	D₄	—	40	1	no	—
1831	D₄	—	40	1	no	—
1832	D₄	—	40	1	no	—
1833	D₄	—	40	1	no	—
1834	C₂×C₄	—	2	1	no	—
1835	C₂×C₄	—	2	1	no	—
1836	C₂×C₄	—	2	1	no	—
1837	C₂×C₄	—	2	1	no	—
1838	C₂×C₄	—	2	1	no	—
1839	C₂×C₄	—	4	2	no	—
1840	C₂×C₄	—	5	1	no	—
1841	C₂×C₄	—	5	2	no	—
1842	C₂×C₄	—	5	2	no	—
1843	C₂×C₄	—	5	1	no	—
1844	C₂×C₄	—	5	1	no	—
1845	C₂×C₄	—	5	1	no	—
1846	C₂×C₄	—	5	1	no	—
1847	C₂×C₄	—	5	1	no	—
1848	C₂×C₄	—	8	1	no	—
1849	C₂×C₄	—	8	1	no	—
1850	C₂×C₄	—	10	2	no	—
1851	C₂×C₄	—	10	2	no	—
1852	C₂×C₄	—	10	2	no	—
1853	C₂×C₄	—	10	2	no	—
1854	C₂×C₄	—	10	2	no	—
1855	C₂×C₄	—	10	1	no	—
1856	C₂×C₄	—	10	1	no	—
1857	C₂×C₄	—	10	1	no	—
1858	C₂×C₄	—	10	1	no	—
1859	C₂×C₄	—	10	1	no	—
1860	C₂×C₄	—	10	1	no	—
1861	C₂×C₄	—	20	1	no	—
1862	C₂×C₄	—	20	1	no	—
1863	C₂×C₄	—	20	2	no	—
1864	C₂×C₄	—	20	2	no	—
1865	C₂×C₄	—	20	2	no	—
1866	C₂×C₄	—	20	2	no	—
1867	C₂×C₄	—	20	2	no	—
1868	C₂×C₄	—	40	1	no	—
1869	C₂×C₄	—	40	1	no	—
1870	C₂×C₄	—	40	1	no	—
1871	C₂×C₄	—	40	1	no	—
1872	C₂×C₄	—	40	1	no	—
1873	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1874	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1875	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1876	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1877	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1878	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1879	C₈	—	2	1	no	—
1880	C₈	—	2	1	no	—
1881	C₈	—	2	1	no	—
1882	C₈	—	2	1	no	—
1883	C₈	—	10	1	no	—
1884	C₈	—	10	1	no	—
1885	C₈	—	10	1	no	—
1886	C₈	—	10	1	no	—
1887	C₅	#60811	1	1	yes	characteristic, complemented, Sylow
1888	C₂²	—	2	1	no	—
1889	C₂²	—	2	1	no	—
1890	C₂²	—	2	1	no	—
1891	C₂²	—	4	1	no	—
1892	C₂²	—	4	1	no	—
1893	C₂²	—	4	1	no	—
1894	C₂²	—	4	1	no	—
1895	C₂²	—	4	1	no	—
1896	C₂²	—	4	1	no	—
1897	C₂²	—	4	1	no	—
1898	C₂²	—	4	1	no	—
1899	C₂²	—	4	1	no	—
1900	C₂²	—	4	1	no	—
1901	C₂²	—	4	1	no	—
1902	C₂²	—	4	1	no	—
1903	C₂²	—	4	1	no	—
1904	C₂²	—	4	1	no	—
1905	C₂²	—	4	1	no	—
1906	C₂²	—	5	2	no	—
1907	C₂²	—	5	2	no	—
1908	C₂²	—	8	4	no	—
1909	C₂²	—	10	1	no	—
1910	C₂²	—	10	1	no	—
1911	C₂²	—	10	1	no	—
1912	C₂²	—	10	1	no	—
1913	C₂²	—	20	4	no	—
1914	C₂²	—	20	1	no	—
1915	C₂²	—	20	1	no	—
1916	C₂²	—	20	1	no	—
1917	C₂²	—	20	1	no	—
1918	C₂²	—	20	1	no	—
1919	C₂²	—	20	1	no	—
1920	C₂²	—	20	1	no	—
1921	C₂²	—	20	1	no	—
1922	C₂²	—	20	1	no	—
1923	C₂²	—	20	1	no	—
1924	C₂²	—	20	1	no	—
1925	C₂²	—	20	1	no	—
1926	C₂²	—	40	4	no	—
1927	C₂²	—	40	4	no	—
1928	C₂²	—	40	4	no	—
1929	C₂²	—	40	4	no	—
1930	C₂²	—	40	4	no	—
1931	C₂²	—	40	4	no	—
1932	C₂²	—	80	2	no	—
1933	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1934	C₄	—	2	1	no	—
1935	C₄	—	2	1	no	—
1936	C₄	—	2	1	no	—
1937	C₄	—	2	1	no	—
1938	C₄	—	2	1	no	—
1939	C₄	—	4	1	no	—
1940	C₄	—	4	1	no	—
1941	C₄	—	4	1	no	—
1942	C₄	—	5	2	no	—
1943	C₄	—	10	1	no	—
1944	C₄	—	10	1	no	—
1945	C₄	—	10	1	no	—
1946	C₄	—	10	1	no	—
1947	C₄	—	10	1	no	—
1948	C₄	—	20	1	no	—
1949	C₄	—	20	1	no	—
1950	C₄	—	20	1	no	—
1951	C₄	—	20	1	no	—
1952	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1953	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1954	C₂	—	4	1	no	—
1955	C₂	—	8	1	no	—
1956	C₂	—	8	1	no	—
1957	C₂	—	8	1	no	—
1958	C₂	—	8	1	no	—
1959	C₂	—	8	1	no	—
1960	C₂	—	10	2	no	—
1961	C₂	—	10	2	no	—
1962	C₂	—	40	1	no	—
1963	C₂	—	40	1	no	—
1964	C₂	—	40	1	no	—
1965	C₂	—	40	1	no	—
1966	C₂	D₅×#535	1	1	yes	characteristic
1967	C₂	D₅×#576	1	1	yes	characteristic
1968	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×#3220	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3220	D₅
hypocenter	C₅	#60811
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3220

Complements

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

N	H ≅ G/N	type
1. #10618386	C₂	semidirect
2. D₅×#535	C₂	semidirect
3. C₅×#3220	C₂	semidirect
4. #10615167	C₂	semidirect
5. #10615120	C₂	semidirect
6. #10613580	C₂	semidirect
7. #10613579	C₂	semidirect
8. #10613516	C₂	semidirect
9. #10613515	C₂	semidirect
10. #10613448	C₂	semidirect
11. #10613445	C₂	semidirect
12. #10613373	C₂	semidirect
13. #10613369	C₂	semidirect
14. #10612273	C₂	semidirect
15. #10612272	C₂	semidirect
16. #10612269	C₂	semidirect
17. #10612267	C₂	semidirect
18. #10612070	C₂	semidirect
19. #10612067	C₂	semidirect
20. #10612066	C₂	semidirect
21. #10612065	C₂	semidirect
22. #10611850	C₂	semidirect
23. #10611849	C₂	semidirect
24. #10611815	C₂	semidirect
25. #10611813	C₂	semidirect
26. #10611733	C₂	semidirect
27. D₅×#447	C₂	semidirect
28. #10611730	C₂	semidirect
29. #10611729	C₂	semidirect
30. #10611123	C₂	semidirect
31. #10611105	C₂	semidirect
34. C₅×#540	C₂²	semidirect
35. C₅×#535	C₂²	semidirect
36. #66164	C₂²	semidirect
37. #66139	C₂²	semidirect
38. C₂×#4062	C₂²	semidirect
39. C₂×#4060	C₂²	semidirect
40. C₂×#4058	C₂²	semidirect
41. C₂×#4057	C₂²	semidirect
42. C₂×#4057	C₂²	semidirect
43. C₂×#4057	C₂²	semidirect
44. C₂×D₅×D₈	C₂²	semidirect
45. C₂×D₅×D₈	C₂²	semidirect
46. #66050	C₂²	semidirect
49. #66049	C₂²	semidirect
50. D₅×#127	C₂²	semidirect
51. D₅×#127	C₂²	semidirect
52. #66025	C₂²	semidirect
53. #66023	C₂²	semidirect
56. D₅×#124	C₂²	semidirect
57. D₅×#124	C₂²	semidirect
62. #65953	C₂²	semidirect
72. #65937	C₂²	semidirect
78. #65891	C₂²	semidirect
79. #65882	C₂²	semidirect
80. #65880	C₂²	semidirect
81. #65879	C₂²	semidirect
82. #65868	C₂²	semidirect
83. #65859	C₂²	semidirect
85. C₅×#496	C₂²	semidirect
86. C₅×#493	C₂²	semidirect
87. C₅×#490	C₂²	semidirect
88. C₅×#488	C₂²	semidirect
89. C₅×#463	C₂²	semidirect
90. C₅×#463	C₂²	semidirect
91. C₅×#459	C₂²	semidirect
92. C₅×#459	C₂²	semidirect
93. C₅×#449	C₂²	semidirect
94. C₅×#449	C₂²	semidirect
95. C₅×#447	C₂²	semidirect
96. C₅×#447	C₂²	semidirect
97. C₅×#433	C₂²	semidirect
98. #65528	C₂²	semidirect
99. #65527	C₂²	semidirect
100. #65507	C₂²	semidirect
101. #65506	C₂²	semidirect
102. #65465	C₂²	semidirect
103. #65459	C₂²	semidirect
104. #65459	C₂²	semidirect
105. #65457	C₂²	semidirect
106. #65454	C₂²	semidirect
107. #65454	C₂²	semidirect
110. #65445	C₂²	semidirect
111. #65445	C₂²	semidirect
112. #65445	C₂²	semidirect
113. #65445	C₂²	semidirect
114. #65444	C₂²	semidirect
115. #65443	C₂²	semidirect
116. #65443	C₂²	semidirect
117. #65443	C₂²	semidirect
118. #65442	C₂²	semidirect
119. #65442	C₂²	semidirect
120. #65440	C₂²	semidirect
121. #65440	C₂²	semidirect
122. #65439	C₂²	semidirect
123. #65439	C₂²	semidirect
124. #65439	C₂²	semidirect
125. #65439	C₂²	semidirect
126. #65364	C₂²	semidirect
127. #65363	C₂²	semidirect
128. #65363	C₂²	semidirect
129. #65362	C₂²	semidirect
130. #65361	C₂²	semidirect
131. #65359	C₂²	semidirect
132. #65357	C₂²	semidirect
133. #65356	C₂²	semidirect
134. #65348	C₂²	semidirect
135. #65346	C₂²	semidirect
136. #65344	C₂²	semidirect
137. #65343	C₂²	semidirect
138. #65326	C₂²	semidirect
139. #65326	C₂²	semidirect
140. #65325	C₂²	semidirect
141. #65325	C₂²	semidirect
142. #65305	C₂²	semidirect
143. #65305	C₂²	semidirect
144. #65304	C₂²	semidirect
145. #65304	C₂²	semidirect
146. #65289	C₂²	semidirect
147. #65137	C₂²	semidirect
148. #65134	C₂²	semidirect
149. #65133	C₂²	semidirect
150. #65132	C₂²	semidirect
151. #65128	C₂²	semidirect
152. #65128	C₂²	semidirect
153. #65124	C₂²	semidirect
154. #65122	C₂²	semidirect
155. #65108	C₂²	semidirect
156. #65097	C₂²	semidirect
157. #65095	C₂²	semidirect
158. #65093	C₂²	semidirect
159. #65092	C₂²	semidirect
160. #65089	C₂²	semidirect
161. #65087	C₂²	semidirect
162. #65084	C₂²	semidirect
163. #65076	C₂²	semidirect
164. #65075	C₂²	semidirect
165. #65075	C₂²	semidirect
166. #65065	C₂²	semidirect
167. #65065	C₂²	semidirect
168. #65065	C₂²	semidirect
171. #65062	C₂²	semidirect
172. #65061	C₂²	semidirect
173. #65060	C₂²	semidirect
174. #65059	C₂²	semidirect
175. #65059	C₂²	semidirect
176. D₅×#102	C₂²	semidirect
177. D₅×#102	C₂²	semidirect
178. #65057	C₂²	semidirect
179. #65056	C₂²	semidirect
180. #65054	C₂²	semidirect
181. #65053	C₂²	semidirect
182. #65053	C₂²	semidirect
183. #65051	C₂²	semidirect
184. #65051	C₂²	semidirect
185. #65049	C₂²	semidirect
186. #65049	C₂²	semidirect
187. #65023	C₂²	semidirect
188. #65022	C₂²	semidirect
189. #65021	C₂²	semidirect
190. #65020	C₂²	semidirect
193. #65009	C₂²	semidirect
194. #65009	C₂²	semidirect
195. #65003	C₂²	semidirect
196. #65001	C₂²	semidirect
197. #64997	C₂²	semidirect
198. #64994	C₂²	semidirect
199. #64985	C₂²	semidirect
200. #64983	C₂²	semidirect
201. #64978	C₂²	semidirect
202. #64974	C₂²	semidirect
238. C₂×C₅×SD₁₆	C₂³	semidirect
239. C₂×C₅×SD₁₆	C₂³	semidirect
244. C₂×C₅×D₈	C₂³	semidirect
245. C₂×C₅×D₈	C₂³	semidirect
248. C₅×#127	C₂³	semidirect
249. C₅×#125	C₂³	semidirect
262. C₄×C₅×D₄	C₂³	semidirect
263. C₄×C₅×D₄	C₂³	semidirect
269. C₂×#689	C₂³	semidirect
270. C₂×#688	C₂³	semidirect
279. #4086	C₂³	semidirect
307. #4082	C₂³	semidirect
311. D₄×Dic₅	C₂³	semidirect
312. D₄×Dic₅	C₂³	semidirect
315. C₂×#687	C₂³	semidirect
316. C₂×#687	C₂³	semidirect
317. C₂×#687	C₂³	semidirect
324. C₂×#686	C₂³	semidirect
325. C₂×#686	C₂³	semidirect
326. C₂×#686	C₂³	semidirect
347. C₂×Dic₂₀	C₂³	semidirect
350. C₂×D₄₀	C₂³	semidirect
353. C₂×#677	C₂³	semidirect
354. C₂×#677	C₂³	semidirect
370. #4039	C₂³	semidirect
378. #4036	C₂³	semidirect
381. #4034	C₂³	semidirect
382. #4033	C₂³	semidirect
425. #4021	C₂³	semidirect
428. C₄×D₂₀	C₂³	semidirect
433. #4015	C₂³	semidirect
434. C₄×Dic₁₀	C₂³	semidirect
435. C₅×C₄⋊C₈	C₂³	semidirect
436. C₅×C₄⋊C₈	C₂³	semidirect
437. C₅×#103	C₂³	semidirect
438. C₅×#103	C₂³	semidirect
443. C₅×#102	C₂³	semidirect
444. C₅×#102	C₂³	semidirect
447. C₅×#97	C₂³	semidirect
448. C₄×C₅×C₈	C₂³	semidirect
449. #3967	C₂³	semidirect
450. #3967	C₂³	semidirect
455. #3964	C₂³	semidirect
456. #3964	C₂³	semidirect
463. #3953	C₂³	semidirect
464. #3953	C₂³	semidirect
469. #3948	C₂³	semidirect
470. #3948	C₂³	semidirect
471. #3947	C₂³	semidirect
472. #3947	C₂³	semidirect
473. #3946	C₂³	semidirect
474. #3946	C₂³	semidirect
475. #3946	C₂³	semidirect
476. #3946	C₂³	semidirect
477. C₈×Dic₅	C₂³	semidirect
478. C₈×Dic₅	C₂³	semidirect
479. #3942	C₂³	semidirect
480. #3942	C₂³	semidirect
485. #3941	C₂³	semidirect
486. #3941	C₂³	semidirect
487. C₄⋊#168	C₂³	semidirect
488. C₄⋊#168	C₂³	semidirect
489. #3935	C₂³	semidirect
490. C₄×#168	C₂³	semidirect
500. #3220	D₅	semidirect
798. #540	C₂×D₅	semidirect
811. #535	C₂×D₅	semidirect
836. #496	C₂×D₅	semidirect
844. #493	C₂×D₅	semidirect
848. #490	C₂×D₅	semidirect
856. #488	C₂×D₅	semidirect
875. #463	C₂×D₅	semidirect
876. #463	C₂×D₅	semidirect
891. #459	C₂×D₅	semidirect
892. #459	C₂×D₅	semidirect
905. #449	C₂×D₅	semidirect
906. #449	C₂×D₅	semidirect
923. #447	C₂×D₅	semidirect
924. #447	C₂×D₅	semidirect
928. #433	C₂×D₅	semidirect
1158. C₂×SD₁₆	C₂²×D₅	semidirect
1159. C₂×SD₁₆	C₂²×D₅	semidirect
1178. C₂×D₈	C₂²×D₅	semidirect
1179. C₂×D₈	C₂²×D₅	semidirect
1200. #127	C₂²×D₅	semidirect
1207. #125	C₂²×D₅	semidirect
1308. C₄×D₄	C₂²×D₅	semidirect
1309. C₄×D₄	C₂²×D₅	semidirect
1343. C₄⋊C₈	C₂²×D₅	semidirect
1344. C₄⋊C₈	C₂²×D₅	semidirect
1351. #103	C₂²×D₅	semidirect
1352. #103	C₂²×D₅	semidirect
1375. #102	C₂²×D₅	semidirect
1376. #102	C₂²×D₅	semidirect
1388. #97	C₂²×D₅	semidirect
1392. C₄×C₈	C₂²×D₅	semidirect
1887. C₅	#60811	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×#535	2
C₅×#3220	2
#10615167	2
#10615120	2
#10613580	2
#10613579	2
#10613516	2
#10613515	2
#10613448	2
#10613445	2
#10613373	2
#10613369	2
#10612273	2
#10612272	2
#10612269	2
#10612267	2
#10612070	2
#10612067	2
#10612066	2
#10612065	2
#10611850	2
#10611849	2
#10611815	2
#10611813	2
#10611733	2
D₅×#447	2
#10611730	2
#10611729	2
#10611123	2
#10611105	2
#60811	5