Subgroups — #12970892

Order 1280.

2218 conjugacy classes of subgroups.

The subgroup lattice has 1922 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618452	C₂	1	1	yes	maximal, characteristic, complemented
2	D₅×#535	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3224	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615194	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615124	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613582	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613578	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613556	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613553	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613417	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613411	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613299	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613294	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612337	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612331	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612272	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612269	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612118	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612116	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612070	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612066	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611993	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611959	C₂	1	1	yes	maximal, characteristic, complemented
24	D₅×#450	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611873	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611850	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611813	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611733	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611730	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611122	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×#542	C₂²	1	1	yes	characteristic, complemented
35	C₅×#535	C₂²	1	1	yes	characteristic
36	#66164	C₂²	1	1	yes	characteristic
37	#66139	C₂²	1	1	yes	characteristic
38	C₂×#4064	C₂²	1	1	yes	characteristic, complemented
39	C₂×#4062	C₂²	1	1	yes	characteristic, complemented
40	C₂×#4061	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
42	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
43	C₂×#4058	C₂²	1	1	yes	characteristic, complemented
44	C₂×#4057	C₂²	1	1	yes	characteristic, complemented
45	C₂×#4057	C₂²	1	1	yes	characteristic, complemented
46	#66063	C₂²	1	1	yes	characteristic, complemented
47	#66062	C₂²	1	1	yes	characteristic, complemented
48	#66049	C₂²	1	1	yes	characteristic
49	#66049	C₂²	1	1	yes	characteristic
50	D₅×#127	C₂²	1	1	yes	characteristic
51	D₅×#127	C₂²	1	1	yes	characteristic
52	#66042	—	2	1	no	—
53	#66042	—	2	1	no	—
54	#66014	C₂²	1	1	yes	characteristic, complemented
55	#66013	—	2	1	no	—
56	#66009	C₂²	1	1	yes	characteristic, complemented
57	#66008	C₂²	1	1	yes	characteristic
58	#66008	C₂²	1	1	yes	characteristic
59	D₅×#124	C₂²	1	1	yes	characteristic
60	D₅×#124	C₂²	1	1	yes	characteristic
61	#66005	—	2	1	no	—
62	#65993	—	2	1	no	—
63	#65984	—	2	1	no	—
64	#65973	—	2	1	no	—
65	#65970	—	2	1	no	—
66	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
67	#65959	C₂²	1	1	yes	characteristic, complemented
68	#65941	—	2	1	no	—
69	#65941	—	2	1	no	—
70	#65940	C₂²	1	1	yes	characteristic
71	D₅×#121	—	2	1	no	—
72	D₅×#121	—	2	1	no	—
73	#65937	C₂²	1	1	yes	characteristic, complemented
74	#65926	—	2	1	no	—
75	#65926	—	2	1	no	—
76	D₅×#120	—	2	1	no	—
77	D₅×#120	—	2	1	no	—
78	#65912	C₂²	1	1	yes	characteristic, complemented
79	#65906	C₂²	1	1	yes	characteristic, complemented
80	#65891	C₂²	1	1	yes	characteristic, complemented
81	#65880	C₂²	1	1	yes	characteristic, complemented
82	#65859	C₂²	1	1	yes	characteristic
83	D₅×#117	C₂²	1	1	yes	characteristic
84	#65852	C₂²	1	1	yes	characteristic, complemented
85	C₅×#496	C₂²	1	1	yes	characteristic, complemented
86	C₅×#495	C₂²	1	1	yes	characteristic, complemented
87	C₅×#489	C₂²	1	1	yes	characteristic, complemented
88	C₅×#486	C₂²	1	1	yes	characteristic, complemented
89	C₅×#464	C₂²	1	1	yes	characteristic, complemented
90	C₅×#463	C₂²	1	1	yes	characteristic, complemented
91	C₅×#460	C₂²	1	1	yes	characteristic, complemented
92	C₅×#459	C₂²	1	1	yes	characteristic, complemented
93	C₅×#452	C₂²	1	1	yes	characteristic, complemented
94	C₅×#450	C₂²	1	1	yes	characteristic, complemented
95	C₅×#449	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	#65528	C₂²	1	1	yes	characteristic, complemented
100	#65507	C₂²	1	1	yes	characteristic, complemented
101	#65507	C₂²	1	1	yes	characteristic, complemented
102	#65479	C₂²	1	1	yes	characteristic, complemented
103	#65475	C₂²	1	1	yes	characteristic, complemented
104	#65474	C₂²	1	1	yes	characteristic, complemented
105	#65464	C₂²	1	1	yes	characteristic, complemented
106	#65464	C₂²	1	1	yes	characteristic, complemented
107	#65459	C₂²	1	1	yes	characteristic, complemented
108	#65458	C₂²	1	1	yes	characteristic
109	#65458	C₂²	1	1	yes	characteristic
110	#65458	C₂²	1	1	yes	characteristic, complemented
111	#65457	C₂²	1	1	yes	characteristic, complemented
112	#65456	C₂²	1	1	yes	characteristic, complemented
113	#65455	C₂²	1	1	yes	characteristic, complemented
114	#65454	C₂²	1	1	yes	characteristic, complemented
115	#65452	C₂²	1	1	yes	characteristic, complemented
116	#65452	C₂²	1	1	yes	characteristic, complemented
117	#65445	C₂²	1	1	yes	characteristic
118	#65445	C₂²	1	1	yes	characteristic
119	#65445	C₂²	1	1	yes	characteristic, complemented
120	#65444	C₂²	1	1	yes	characteristic, complemented
121	#65443	C₂²	1	1	yes	characteristic, complemented
122	#65443	C₂²	1	1	yes	characteristic, complemented
123	#65442	C₂²	1	1	yes	characteristic, complemented
124	#65439	C₂²	1	1	yes	characteristic, complemented
125	#65439	C₂²	1	1	yes	characteristic, complemented
126	#65378	C₂²	1	1	yes	characteristic, complemented
127	#65377	C₂²	1	1	yes	characteristic, complemented
128	#65365	C₂²	1	1	yes	characteristic, complemented
129	#65364	C₂²	1	1	yes	characteristic, complemented
130	#65364	C₂²	1	1	yes	characteristic, complemented
131	#65360	C₂²	1	1	yes	characteristic, complemented
132	#65349	C₂²	1	1	yes	characteristic, complemented
133	#65348	C₂²	1	1	yes	characteristic, complemented
134	#65347	C₂²	1	1	yes	characteristic, complemented
135	#65345	C₂²	1	1	yes	characteristic, complemented
136	#65343	C₂²	1	1	yes	characteristic, complemented
137	#65343	C₂²	1	1	yes	characteristic, complemented
138	#65336	C₂²	1	1	yes	characteristic, complemented
139	#65335	C₂²	1	1	yes	characteristic, complemented
140	#65326	C₂²	1	1	yes	characteristic, complemented
141	#65325	C₂²	1	1	yes	characteristic, complemented
142	#65317	C₂²	1	1	yes	characteristic, complemented
143	#65316	C₂²	1	1	yes	characteristic, complemented
144	#65305	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	#65137	C₂²	1	1	yes	characteristic, complemented
149	#65134	C₂²	1	1	yes	characteristic, complemented
150	#65134	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	#65097	C₂²	1	1	yes	characteristic, complemented
156	#65097	C₂²	1	1	yes	characteristic, complemented
157	#65093	C₂²	1	1	yes	characteristic, complemented
158	#65092	C₂²	1	1	yes	characteristic, complemented
159	#65089	C₂²	1	1	yes	characteristic, complemented
160	#65087	C₂²	1	1	yes	characteristic, complemented
161	#65087	C₂²	1	1	yes	characteristic, complemented
162	#65084	C₂²	1	1	yes	characteristic, complemented
163	#65065	C₂²	1	1	yes	characteristic
164	#65065	C₂²	1	1	yes	characteristic
165	#65065	C₂²	1	1	yes	characteristic
166	#65065	C₂²	1	1	yes	characteristic
167	#65065	C₂²	1	1	yes	characteristic, complemented
168	#65065	C₂²	1	1	yes	characteristic, complemented
169	#65061	C₂²	1	1	yes	characteristic, complemented
170	#65060	C₂²	1	1	yes	characteristic, complemented
171	#65059	C₂²	1	1	yes	characteristic, complemented
172	#65059	C₂²	1	1	yes	characteristic, complemented
173	D₅×#102	C₂²	1	1	yes	characteristic, complemented
174	D₅×#102	C₂²	1	1	yes	characteristic, complemented
175	#65057	C₂²	1	1	yes	characteristic, complemented
176	#65056	C₂²	1	1	yes	characteristic, complemented
177	#65056	C₂²	1	1	yes	characteristic, complemented
178	#65054	C₂²	1	1	yes	characteristic, complemented
179	#65053	C₂²	1	1	yes	characteristic, complemented
180	#65053	C₂²	1	1	yes	characteristic, complemented
181	#65051	C₂²	1	1	yes	characteristic, complemented
182	#65051	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	#65022	C₂²	1	1	yes	characteristic, complemented
188	#65022	C₂²	1	1	yes	characteristic, complemented
189	#65020	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	#65004	C₂²	1	1	yes	characteristic, complemented
196	#65002	C₂²	1	1	yes	characteristic, complemented
197	#64997	C₂²	1	1	yes	characteristic, complemented
198	#64994	C₂²	1	1	yes	characteristic, complemented
199	#64986	C₂²	1	1	yes	characteristic, complemented
200	#64982	C₂²	1	1	yes	characteristic, complemented
201	#64978	C₂²	1	1	yes	characteristic, complemented
202	#64974	C₂²	1	1	yes	characteristic, complemented
203	#60812	—	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×Q₈×D₅	C₂³	1	1	yes	characteristic
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	—	4	2	no	—
224	C₂×D₄×D₅	—	4	2	no	—
225	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
227	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
228	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
229	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
230	C₂×#709	—	2	1	no	—
231	C₂×#709	C₂³	1	1	yes	characteristic
232	C₂²×D₂₀	C₂³	1	1	yes	characteristic
233	C₂²×C₄×D₅	—	2	1	no	—
234	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
235	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic, complemented
236	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₅×SD₁₆	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, complemented
243	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
244	C₅×#127	C₂³	1	1	yes	characteristic
245	C₅×#127	C₂³	1	1	yes	characteristic
246	C₅×#126	—	2	1	no	—
247	C₅×#124	—	2	1	no	—
248	C₅×#124	C₂³	1	1	yes	characteristic
249	C₅×#124	C₂³	1	1	yes	characteristic
250	C₅×#124	C₂³	1	1	yes	characteristic, complemented
251	C₅×#123	—	2	1	no	—
252	C₅×C₂²⋊Q₈	—	2	1	no	—
253	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
254	C₅×#121	—	2	1	no	—
255	C₅×#121	—	2	1	no	—
256	C₅×#121	C₂³	1	1	yes	characteristic
257	C₅×#120	—	2	1	no	—
258	C₅×#120	—	2	1	no	—
259	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic, complemented
260	C₄×C₅×D₄	C₂³	1	1	yes	characteristic, complemented
261	C₅×#117	C₂³	1	1	yes	characteristic
262	#4099	—	2	1	no	—
263	#4099	—	2	1	no	—
264	#4093	C₂³	1	1	yes	characteristic
265	#4093	C₂³	1	1	yes	characteristic
266	#4092	—	2	1	no	—
267	#4092	—	2	1	no	—
268	#4092	C₂³	1	1	yes	characteristic
269	Q₈×Dic₅	—	2	1	no	—
270	Q₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
271	#4090	—	2	1	no	—
272	#4090	C₂³	1	1	yes	characteristic, complemented
273	C₂×#689	C₂³	1	1	yes	characteristic, complemented
274	C₂×#689	C₂³	1	1	yes	characteristic, complemented
275	C₂×#689	C₂³	1	1	yes	characteristic, complemented
276	C₂×#688	C₂³	1	1	yes	characteristic
277	C₂×#688	C₂³	1	1	yes	characteristic
278	C₂×#688	C₂³	1	1	yes	characteristic, complemented
279	#4086	—	2	1	no	—
280	#4086	—	2	1	no	—
281	#4086	—	2	1	no	—
282	#4086	—	2	1	no	—
283	#4086	C₂³	1	1	yes	characteristic
284	#4086	C₂³	1	1	yes	characteristic
285	#4086	C₂³	1	1	yes	characteristic
286	#4086	C₂³	1	1	yes	characteristic
287	#4085	—	2	1	no	—
288	#4085	—	2	1	no	—
289	#4085	—	2	1	no	—
290	#4085	—	2	1	no	—
291	#4084	—	2	1	no	—
292	#4084	—	2	1	no	—
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	#4082	—	2	1	no	—
302	#4082	C₂³	1	1	yes	characteristic
303	#4082	C₂³	1	1	yes	characteristic
304	#4082	C₂³	1	1	yes	characteristic, complemented
305	#4081	—	2	1	no	—
306	D₄×Dic₅	—	2	1	no	—
307	D₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
308	C₂×#687	C₂³	1	1	yes	characteristic
309	C₂×#687	C₂³	1	1	yes	characteristic
310	C₂×#687	C₂³	1	1	yes	characteristic
311	C₂×#687	C₂³	1	1	yes	characteristic
312	C₂×#687	C₂³	1	1	yes	characteristic, complemented
313	C₂×#687	C₂³	1	1	yes	characteristic, complemented
314	C₂×#687	C₂³	1	1	yes	characteristic, complemented
315	C₂×#686	C₂³	1	1	yes	characteristic
316	C₂×#686	C₂³	1	1	yes	characteristic
317	C₂×#686	C₂³	1	1	yes	characteristic, complemented
318	#4076	—	2	1	no	—
319	#4076	—	2	1	no	—
320	C₄×C₂²⋊D₅	—	2	1	no	—
321	C₄×C₂²⋊D₅	—	2	1	no	—
322	#4072	—	2	1	no	—
323	#4072	C₂³	1	1	yes	characteristic
324	#4070	C₂³	1	1	yes	characteristic
325	#4070	C₂³	1	1	yes	characteristic
326	C₂×#683	—	2	1	no	—
327	#4064	—	4	2	no	—
328	#4062	—	4	2	no	—
329	#4061	—	4	2	no	—
330	D₅×SD₁₆	—	4	2	no	—
331	D₅×SD₁₆	—	4	2	no	—
332	#4058	—	4	2	no	—
333	#4057	—	4	2	no	—
334	#4057	—	4	2	no	—
335	C₂×Dic₂₀	C₂³	1	1	yes	characteristic, complemented
336	C₂×Dic₂₀	C₂³	1	1	yes	characteristic, complemented
337	C₂×#677	C₂³	1	1	yes	characteristic
338	C₂×#677	C₂³	1	1	yes	characteristic
339	C₂×#677	C₂³	1	1	yes	characteristic
340	C₂×#677	C₂³	1	1	yes	characteristic
341	C₂×#677	C₂³	1	1	yes	characteristic, complemented
342	C₂×#677	C₂³	1	1	yes	characteristic, complemented
343	C₂×#676	C₂³	1	1	yes	characteristic
344	C₂×#676	C₂³	1	1	yes	characteristic
345	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
346	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
347	#4043	C₂³	1	1	yes	characteristic
348	#4043	C₂³	1	1	yes	characteristic
349	#4042	—	2	1	no	—
350	#4042	—	2	1	no	—
351	#4042	—	2	1	no	—
352	#4041	—	2	1	no	—
353	#4041	—	2	1	no	—
354	#4038	—	2	1	no	—
355	#4038	—	2	1	no	—
356	#4038	D₄	1	1	yes	characteristic
357	#4038	D₄	1	1	yes	characteristic
358	#4038	C₂³	1	1	yes	characteristic
359	D₅×C₄⋊C₄	—	2	1	no	—
360	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
361	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
362	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
363	#4036	—	2	1	no	—
364	#4036	—	2	1	no	—
365	#4036	C₂³	1	1	yes	characteristic, complemented
366	#4035	—	2	1	no	—
367	#4035	—	2	1	no	—
368	#4035	—	2	1	no	—
369	#4035	—	2	1	no	—
370	#4035	—	2	1	no	—
371	#4034	C₂³	1	1	yes	characteristic, complemented
372	#4033	—	2	1	no	—
373	#4033	C₂³	1	1	yes	characteristic, complemented
374	#4033	C₂³	1	1	yes	characteristic, complemented
375	#4031	—	2	1	no	—
376	#4031	—	2	1	no	—
377	#4031	—	2	1	no	—
378	#4031	—	2	1	no	—
379	#4030	—	2	1	no	—
380	#4030	—	2	1	no	—
381	#4030	—	2	1	no	—
382	#4030	—	2	1	no	—
383	#4029	—	2	1	no	—
384	#4029	—	2	1	no	—
385	#4029	—	2	1	no	—
386	#4029	—	2	1	no	—
387	#4029	—	2	1	no	—
388	#4028	—	2	1	no	—
389	#4028	—	2	1	no	—
390	#4028	—	2	1	no	—
391	#4028	—	2	1	no	—
392	#4028	—	2	1	no	—
393	#4028	—	2	1	no	—
394	#4027	—	2	1	no	—
395	#4027	—	2	1	no	—
396	#4027	—	2	1	no	—
397	D₅×C₂²⋊C₄	—	2	1	no	—
398	D₅×C₂²⋊C₄	—	2	1	no	—
399	D₅×C₂²⋊C₄	—	2	1	no	—
400	D₅×C₂²⋊C₄	—	2	1	no	—
401	D₅×C₂²⋊C₄	—	2	1	no	—
402	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
403	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
404	#4025	—	2	1	no	—
405	#4025	—	2	1	no	—
406	#4025	—	2	1	no	—
407	#4025	—	2	1	no	—
408	#4025	—	2	1	no	—
409	#4025	—	2	1	no	—
410	#4025	—	2	1	no	—
411	#4024	—	2	1	no	—
412	#4024	—	2	1	no	—
413	#4024	—	2	1	no	—
414	#4024	—	2	1	no	—
415	#4023	—	2	1	no	—
416	#4023	—	2	1	no	—
417	#4023	D₄	1	1	yes	characteristic
418	#4023	D₄	1	1	yes	characteristic
419	#4021	C₂³	1	1	yes	characteristic
420	#4021	C₂³	1	1	yes	characteristic
421	#4020	C₂³	1	1	yes	characteristic
422	#4020	C₂³	1	1	yes	characteristic
423	#4018	—	2	1	no	—
424	#4018	—	2	1	no	—
425	#4018	C₂³	1	1	yes	characteristic
426	#4018	C₂³	1	1	yes	characteristic
427	C₄²×D₅	C₂³	1	1	yes	characteristic
428	C₄²×D₅	C₂³	1	1	yes	characteristic
429	#4016	C₂³	1	1	yes	characteristic, complemented
430	#4015	C₂³	1	1	yes	characteristic, complemented
431	C₄×Dic₁₀	—	2	1	no	—
432	C₄×Dic₁₀	—	2	1	no	—
433	C₄×Dic₁₀	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	#3495	—	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	D₅	1	1	yes	characteristic, complemented
497	#3222	—	5	1	no	—
498	#3222	—	5	1	no	—
499	#3222	—	5	1	no	—
500	#3222	—	5	1	no	—
501	#3217	—	5	1	no	—
502	#3217	—	5	1	no	—
503	#3215	—	5	1	no	—
504	#3215	—	5	1	no	—
505	#3211	—	5	1	no	—
506	#3211	—	5	1	no	—
507	#3208	—	5	1	no	—
508	#3208	—	5	1	no	—
509	#3154	—	5	1	no	—
510	#3154	—	5	1	no	—
511	#3136	—	5	1	no	—
512	#3136	—	5	1	no	—
513	#3045	—	5	1	no	—
514	#3045	—	5	1	no	—
515	#3043	—	5	1	no	—
516	#3043	—	5	1	no	—
517	#3007	—	5	1	no	—
518	#3003	—	5	1	no	—
519	#3002	—	5	1	no	—
520	C₂×#450	—	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	—	4	4	no	—
530	C₂³×D₅	—	8	2	no	—
531	C₂³×D₅	—	8	2	no	—
532	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
533	C₅×#41	—	4	1	no	—
534	C₅×#41	—	4	1	no	—
535	C₂×C₅×Q₈	—	2	1	no	—
536	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
537	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
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	—	4	1	no	—
546	C₂×C₅×D₄	—	4	1	no	—
547	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
548	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
549	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
550	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₅	—	2	1	no	—
552	C₂²×C₄×C₅	—	2	1	no	—
553	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
554	C₂×C₂²⋊D₅	—	2	1	no	—
555	C₂×C₂²⋊D₅	—	2	1	no	—
556	C₂×C₂²⋊D₅	—	2	1	no	—
557	C₂×C₂²⋊D₅	—	2	1	no	—
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	—	4	4	no	—
572	C₂²×Dic₅	—	2	1	no	—
573	C₂²×Dic₅	—	2	1	no	—
574	C₂²×Dic₅	—	2	1	no	—
575	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
576	#713	—	2	2	no	—
577	#713	—	2	2	no	—
578	Q₈×D₅	—	2	2	no	—
579	Q₈×D₅	—	2	2	no	—
580	Q₈×D₅	—	4	1	no	—
581	Q₈×D₅	—	4	1	no	—
582	#711	—	2	2	no	—
583	#711	—	2	2	no	—
584	#711	—	2	2	no	—
585	#711	—	2	2	no	—
586	#711	—	4	4	no	—
587	D₄×D₅	—	2	2	no	—
588	D₄×D₅	—	2	2	no	—
589	D₄×D₅	—	2	2	no	—
590	D₄×D₅	—	2	2	no	—
591	D₄×D₅	—	4	1	no	—
592	D₄×D₅	—	4	1	no	—
593	D₄×D₅	—	4	1	no	—
594	D₄×D₅	—	4	1	no	—
595	D₄×D₅	—	4	1	no	—
596	D₄×D₅	—	4	1	no	—
597	D₄×D₅	—	4	4	no	—
598	D₄×D₅	—	4	4	no	—
599	D₄×D₅	—	4	4	no	—
600	D₄×D₅	—	8	2	no	—
601	D₄×D₅	—	8	2	no	—
602	D₄×D₅	—	8	2	no	—
603	D₄×D₅	—	8	2	no	—
604	#709	—	4	1	no	—
605	#709	—	4	1	no	—
606	#709	—	4	4	no	—
607	C₂×D₂₀	—	2	1	no	—
608	C₂×D₂₀	—	2	1	no	—
609	C₂×D₂₀	—	2	1	no	—
610	C₂×D₂₀	—	2	1	no	—
611	C₂×D₂₀	—	2	1	no	—
612	C₂×D₂₀	—	2	1	no	—
613	C₂×D₂₀	—	4	1	no	—
614	C₂×D₂₀	—	4	1	no	—
615	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
616	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
617	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
618	C₂×C₄×D₅	—	2	2	no	—
619	C₂×C₄×D₅	—	2	2	no	—
620	C₂×C₄×D₅	—	2	1	no	—
621	C₂×C₄×D₅	—	2	1	no	—
622	C₂×C₄×D₅	—	2	1	no	—
623	C₂×C₄×D₅	—	2	1	no	—
624	C₂×C₄×D₅	—	2	1	no	—
625	C₂×C₄×D₅	—	4	4	no	—
626	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
627	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
628	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
629	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
630	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
631	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
632	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
633	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
634	C₂×Dic₁₀	—	2	1	no	—
635	C₂×Dic₁₀	—	2	1	no	—
636	C₂×Dic₁₀	—	2	1	no	—
637	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
638	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
639	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
640	C₅×Q₁₆	—	4	1	no	—
641	C₅×SD₁₆	—	4	1	no	—
642	C₅×SD₁₆	—	4	1	no	—
643	C₅×SD₁₆	—	4	1	no	—
644	C₅×SD₁₆	—	4	1	no	—
645	C₅×D₈	—	4	1	no	—
646	C₅×D₈	—	4	1	no	—
647	C₅×D₈	—	4	1	no	—
648	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
649	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
650	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
651	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
652	C₅×C₄⋊C₄	—	2	1	no	—
653	C₅×C₄⋊C₄	—	2	1	no	—
654	C₅×C₄⋊C₄	—	2	1	no	—
655	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
656	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
657	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
658	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
659	C₅×C₂²⋊C₄	—	2	1	no	—
660	C₅×C₂²⋊C₄	—	2	1	no	—
661	C₅×C₂²⋊C₄	—	2	1	no	—
662	C₅×C₂²⋊C₄	—	2	1	no	—
663	C₅×C₂²⋊C₄	—	2	1	no	—
664	C₅×C₂²⋊C₄	—	2	1	no	—
665	C₅×C₂²⋊C₄	—	2	1	no	—
666	C₅×C₂²⋊C₄	—	2	1	no	—
667	C₅×C₂²⋊C₄	—	2	1	no	—
668	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
669	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
670	C₄²×C₅	—	2	1	no	—
671	C₄²×C₅	C₂⁴	1	1	yes	characteristic
672	C₄²×C₅	C₂⁴	1	1	yes	characteristic
673	C₂²⋊Dic₅	—	2	1	no	—
674	C₂²⋊Dic₅	—	2	1	no	—
675	C₂²⋊Dic₅	—	2	1	no	—
676	C₂²⋊Dic₅	—	2	1	no	—
677	C₂²⋊Dic₅	—	2	1	no	—
678	C₂²⋊Dic₅	—	2	1	no	—
679	C₂²⋊Dic₅	—	2	1	no	—
680	C₂²⋊Dic₅	—	2	1	no	—
681	C₂²⋊Dic₅	—	2	1	no	—
682	C₂²⋊Dic₅	—	2	1	no	—
683	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
684	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
685	#689	—	4	1	no	—
686	#689	—	4	1	no	—
687	#689	—	4	1	no	—
688	#688	—	4	1	no	—
689	#688	—	4	1	no	—
690	#688	—	4	1	no	—
691	#687	—	4	1	no	—
692	#687	—	4	1	no	—
693	#687	—	4	1	no	—
694	#687	—	4	1	no	—
695	#687	—	4	1	no	—
696	#687	—	4	1	no	—
697	#687	—	4	1	no	—
698	#686	—	4	1	no	—
699	#686	—	4	1	no	—
700	#686	—	4	1	no	—
701	#685	—	2	1	no	—
702	#685	—	2	1	no	—
703	#685	—	2	1	no	—
704	#685	—	2	1	no	—
705	#685	—	2	1	no	—
706	#685	—	2	1	no	—
707	#685	—	2	1	no	—
708	#685	—	2	1	no	—
709	#685	—	2	1	no	—
710	#685	—	2	1	no	—
711	#685	—	2	1	no	—
712	#685	—	2	1	no	—
713	#685	C₂×D₄	1	1	yes	characteristic
714	#685	C₂×D₄	1	1	yes	characteristic
715	#685	C₂×D₄	1	1	yes	characteristic
716	#685	C₂×D₄	1	1	yes	characteristic
717	C₄⋊Dic₅	—	2	1	no	—
718	C₄⋊Dic₅	—	2	1	no	—
719	C₄⋊Dic₅	—	2	1	no	—
720	C₄⋊Dic₅	—	2	1	no	—
721	C₄⋊Dic₅	—	2	1	no	—
722	C₄⋊Dic₅	—	2	1	no	—
723	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
724	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
725	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
726	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
727	#683	—	2	1	no	—
728	#683	—	2	1	no	—
729	#683	—	2	1	no	—
730	#683	—	2	1	no	—
731	#683	—	2	1	no	—
732	#683	—	2	1	no	—
733	#683	—	2	1	no	—
734	#683	—	2	1	no	—
735	#683	—	2	1	no	—
736	#683	—	2	1	no	—
737	#683	—	2	1	no	—
738	#683	—	2	1	no	—
739	#683	—	2	1	no	—
740	#683	—	2	1	no	—
741	#683	C₂×D₄	1	1	yes	characteristic
742	#683	C₂×D₄	1	1	yes	characteristic
743	#683	C₂×D₄	1	1	yes	characteristic
744	#683	C₂×D₄	1	1	yes	characteristic
745	C₄×Dic₅	—	2	1	no	—
746	C₄×Dic₅	—	2	1	no	—
747	C₄×Dic₅	—	2	1	no	—
748	C₄×Dic₅	—	2	1	no	—
749	C₄×Dic₅	—	2	1	no	—
750	C₄×Dic₅	—	2	1	no	—
751	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
752	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
753	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
754	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
755	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
756	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
757	C₂×#168	C₂⁴	1	1	yes	characteristic
758	C₂×#168	C₂⁴	1	1	yes	characteristic
759	C₂×#168	C₂⁴	1	1	yes	characteristic
760	C₂×#168	C₂⁴	1	1	yes	characteristic
761	Dic₂₀	—	4	1	no	—
762	Dic₂₀	—	4	1	no	—
763	#677	—	4	1	no	—
764	#677	—	4	1	no	—
765	#677	—	4	1	no	—
766	#677	—	4	1	no	—
767	#677	—	4	1	no	—
768	#677	—	4	1	no	—
769	#676	—	2	2	no	—
770	#676	—	2	2	no	—
771	C₈×D₅	—	2	2	no	—
772	C₈×D₅	—	2	2	no	—
773	C₂²×#41	—	5	1	no	—
774	C₂³×D₄	—	5	1	no	—
775	C₂×#137	—	5	1	no	—
776	C₂×#137	—	5	1	no	—
777	C₂×AGL(1,ℤ/8)	—	5	1	no	—
778	C₂×AGL(1,ℤ/8)	—	5	1	no	—
779	C₂×#135	—	5	1	no	—
780	C₂×#135	—	5	1	no	—
781	C₂²×SD₁₆	—	5	1	no	—
782	C₂²×SD₁₆	—	5	1	no	—
783	#556	—	10	1	no	—
784	#554	—	10	1	no	—
785	#552	—	10	1	no	—
786	#552	—	10	1	no	—
787	#552	—	10	1	no	—
788	#552	—	10	1	no	—
789	#551	—	10	1	no	—
790	#551	—	10	1	no	—
791	#544	—	5	1	no	—
792	#542	—	5	1	no	—
793	#542	C₂×D₅	1	1	yes	characteristic, complemented
794	#541	—	5	1	no	—
795	#541	—	5	1	no	—
796	#536	—	5	1	no	—
797	#535	—	5	1	no	—
798	#535	—	5	1	no	—
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	—	10	1	no	—
805	#535	—	10	1	no	—
806	#535	—	10	1	no	—
807	#535	—	10	1	no	—
808	#535	C₂×D₅	1	1	yes	characteristic
809	#533	—	5	1	no	—
810	#533	—	5	1	no	—
811	C₂×#127	—	5	1	no	—
812	C₂×#127	—	5	1	no	—
813	#529	—	5	1	no	—
814	#529	—	5	1	no	—
815	C₂×#124	—	5	1	no	—
816	C₂×#124	—	5	1	no	—
817	#525	—	5	1	no	—
818	C₂×C₂²⋊Q₈	—	5	1	no	—
819	C₂×#121	—	10	1	no	—
820	C₂×#121	—	10	1	no	—
821	C₂×#120	—	10	1	no	—
822	C₂×#120	—	10	1	no	—
823	#520	—	5	1	no	—
824	#519	—	5	1	no	—
825	C₂×#117	—	5	1	no	—
826	#497	—	5	1	no	—
827	#497	—	5	1	no	—
828	#497	—	5	1	no	—
829	#497	—	5	1	no	—
830	#496	—	5	1	no	—
831	#496	—	5	1	no	—
832	#496	—	5	1	no	—
833	#496	C₂×D₅	1	1	yes	characteristic, complemented
834	#495	—	5	1	no	—
835	#495	—	5	1	no	—
836	#495	—	5	1	no	—
837	#495	C₂×D₅	1	1	yes	characteristic, complemented
838	#492	—	5	1	no	—
839	#492	—	5	1	no	—
840	#492	—	5	1	no	—
841	#492	—	5	1	no	—
842	#490	—	5	1	no	—
843	#490	—	5	1	no	—
844	#490	—	5	1	no	—
845	#490	—	5	1	no	—
846	#489	—	5	1	no	—
847	#489	—	5	1	no	—
848	#489	—	5	1	no	—
849	#489	C₂×D₅	1	1	yes	characteristic, complemented
850	#488	—	5	1	no	—
851	#488	—	5	1	no	—
852	#488	—	5	1	no	—
853	#488	—	5	1	no	—
854	#486	—	5	1	no	—
855	#486	—	5	1	no	—
856	#486	—	5	1	no	—
857	#486	C₂×D₅	1	1	yes	characteristic, complemented
858	#464	—	5	1	no	—
859	#464	—	5	1	no	—
860	#464	—	5	1	no	—
861	#464	—	5	1	no	—
862	#464	—	5	1	no	—
863	#464	—	5	1	no	—
864	#464	—	5	1	no	—
865	#464	—	5	1	no	—
866	#464	—	5	1	no	—
867	#464	—	5	1	no	—
868	#464	—	5	1	no	—
869	#464	C₂×D₅	1	1	yes	characteristic, complemented
870	#463	—	5	1	no	—
871	#463	—	5	1	no	—
872	#463	—	5	1	no	—
873	#463	C₂×D₅	1	1	yes	characteristic, complemented
874	#460	—	5	1	no	—
875	#460	—	5	1	no	—
876	#460	—	5	1	no	—
877	#460	—	5	1	no	—
878	#460	—	5	1	no	—
879	#460	—	5	1	no	—
880	#460	—	5	1	no	—
881	#460	—	5	1	no	—
882	#460	—	5	1	no	—
883	#460	—	5	1	no	—
884	#460	—	5	1	no	—
885	#460	C₂×D₅	1	1	yes	characteristic, complemented
886	#459	—	5	1	no	—
887	#459	—	5	1	no	—
888	#459	—	5	1	no	—
889	#459	C₂×D₅	1	1	yes	characteristic, complemented
890	#452	—	5	1	no	—
891	#452	—	5	1	no	—
892	#452	—	5	1	no	—
893	#452	—	5	1	no	—
894	#452	—	5	1	no	—
895	#452	C₂×D₅	1	1	yes	characteristic, complemented
896	#451	—	5	1	no	—
897	#451	—	5	1	no	—
898	#451	—	5	1	no	—
899	#450	—	5	1	no	—
900	#450	—	5	1	no	—
901	#450	—	5	1	no	—
902	#450	—	5	1	no	—
903	#450	—	5	1	no	—
904	#450	—	5	1	no	—
905	#450	—	5	1	no	—
906	#450	—	5	1	no	—
907	#450	—	5	1	no	—
908	#450	—	5	1	no	—
909	#450	—	5	1	no	—
910	#450	—	5	1	no	—
911	#450	—	5	1	no	—
912	#450	—	5	1	no	—
913	#450	C₂×D₅	1	1	yes	characteristic, complemented
914	#449	—	5	1	no	—
915	#449	C₂×D₅	1	1	yes	characteristic, complemented
916	#448	—	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	C₂×D₅	1	1	yes	characteristic, complemented
922	#433	—	5	1	no	—
923	#433	—	5	1	no	—
924	#433	—	5	1	no	—
925	#433	C₂×D₅	1	1	yes	characteristic, complemented
926	#432	—	5	1	no	—
927	#432	—	5	1	no	—
928	#431	—	5	1	no	—
929	#431	—	5	1	no	—
930	#424	—	5	1	no	—
931	#424	—	5	1	no	—
932	#418	—	5	1	no	—
933	#418	—	5	1	no	—
934	#417	—	5	1	no	—
935	#417	—	5	1	no	—
936	#416	—	5	1	no	—
937	#416	—	5	1	no	—
938	C₂×#102	—	5	1	no	—
939	C₂×#102	—	5	1	no	—
940	#407	—	5	1	no	—
941	C₂×C₂²⋊C₈	—	5	1	no	—
942	#405	—	5	1	no	—
943	#405	—	5	1	no	—
944	C₂³×C₅	—	2	1	no	—
945	C₂³×C₅	—	2	1	no	—
946	C₂³×C₅	—	2	1	no	—
947	C₂³×C₅	—	2	1	no	—
948	C₂³×C₅	—	4	2	no	—
949	C₂³×C₅	—	8	1	no	—
950	C₂³×C₅	—	8	1	no	—
951	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
952	C₂²×D₅	—	2	2	no	—
953	C₂²×D₅	—	2	2	no	—
954	C₂²×D₅	—	2	1	no	—
955	C₂²×D₅	—	2	1	no	—
956	C₂²×D₅	—	2	1	no	—
957	C₂²×D₅	—	4	1	no	—
958	C₂²×D₅	—	4	2	no	—
959	C₂²×D₅	—	4	2	no	—
960	C₂²×D₅	—	4	2	no	—
961	C₂²×D₅	—	4	2	no	—
962	C₂²×D₅	—	4	2	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	—	8	1	no	—
971	C₂²×D₅	—	8	1	no	—
972	C₂²×D₅	—	8	1	no	—
973	C₂²×D₅	—	8	1	no	—
974	C₂²×D₅	—	8	1	no	—
975	C₂²×D₅	—	8	1	no	—
976	C₂²×D₅	—	8	16	no	—
977	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
978	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
979	C₅×Q₈	—	2	1	no	—
980	C₅×Q₈	—	2	1	no	—
981	C₅×Q₈	—	2	1	no	—
982	C₅×Q₈	—	2	1	no	—
983	C₅×Q₈	—	8	1	no	—
984	C₅×D₄	—	2	1	no	—
985	C₅×D₄	—	2	1	no	—
986	C₅×D₄	—	2	1	no	—
987	C₅×D₄	—	2	1	no	—
988	C₅×D₄	—	2	1	no	—
989	C₅×D₄	—	2	1	no	—
990	C₅×D₄	—	2	1	no	—
991	C₅×D₄	—	2	1	no	—
992	C₅×D₄	—	4	2	no	—
993	C₅×D₄	—	4	2	no	—
994	C₅×D₄	—	8	1	no	—
995	C₅×D₄	—	8	1	no	—
996	C₅×D₄	—	8	1	no	—
997	C₅×D₄	—	8	1	no	—
998	C₅×D₄	—	8	1	no	—
999	C₂×C₄×C₅	—	2	1	no	—
1000	C₂×C₄×C₅	—	2	1	no	—
1001	C₂×C₄×C₅	—	2	1	no	—
1002	C₂×C₄×C₅	—	2	1	no	—
1003	C₂×C₄×C₅	—	2	1	no	—
1004	C₂×C₄×C₅	—	2	1	no	—
1005	C₂×C₄×C₅	—	4	2	no	—
1006	C₂×C₄×C₅	—	8	1	no	—
1007	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1008	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1009	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1010	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1011	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1012	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1013	C₂²⋊D₅	—	4	2	no	—
1014	C₂²⋊D₅	—	4	2	no	—
1015	C₂²⋊D₅	—	4	2	no	—
1016	C₂²⋊D₅	—	4	2	no	—
1017	C₂²⋊D₅	—	4	2	no	—
1018	C₂²⋊D₅	—	4	2	no	—
1019	C₂²⋊D₅	—	4	2	no	—
1020	C₂²⋊D₅	—	4	2	no	—
1021	C₂²⋊D₅	—	4	2	no	—
1022	C₂²⋊D₅	—	8	1	no	—
1023	C₂²⋊D₅	—	8	1	no	—
1024	C₂²⋊D₅	—	8	1	no	—
1025	C₂²⋊D₅	—	8	1	no	—
1026	C₂²⋊D₅	—	8	1	no	—
1027	C₂²⋊D₅	—	8	1	no	—
1028	C₂²⋊D₅	—	8	1	no	—
1029	C₂²⋊D₅	—	8	1	no	—
1030	C₂×Dic₅	—	2	2	no	—
1031	C₂×Dic₅	—	2	1	no	—
1032	C₂×Dic₅	—	2	1	no	—
1033	C₂×Dic₅	—	2	1	no	—
1034	C₂×Dic₅	—	2	1	no	—
1035	C₂×Dic₅	—	2	1	no	—
1036	C₂×Dic₅	—	4	2	no	—
1037	C₂×Dic₅	—	4	2	no	—
1038	C₂×Dic₅	—	8	1	no	—
1039	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1040	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1041	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1042	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1043	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1044	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1045	D₂₀	—	2	1	no	—
1046	D₂₀	—	2	1	no	—
1047	D₂₀	—	2	1	no	—
1048	D₂₀	—	2	1	no	—
1049	D₂₀	—	2	1	no	—
1050	D₂₀	—	2	1	no	—
1051	D₂₀	—	4	2	no	—
1052	D₂₀	—	4	2	no	—
1053	D₂₀	—	8	1	no	—
1054	D₂₀	—	8	1	no	—
1055	D₂₀	—	8	1	no	—
1056	D₂₀	—	8	1	no	—
1057	C₄×D₅	—	2	2	no	—
1058	C₄×D₅	—	2	2	no	—
1059	C₄×D₅	—	2	2	no	—
1060	C₄×D₅	—	2	1	no	—
1061	C₄×D₅	—	2	1	no	—
1062	C₄×D₅	—	2	2	no	—
1063	C₄×D₅	—	4	1	no	—
1064	C₄×D₅	—	4	1	no	—
1065	C₄×D₅	—	4	2	no	—
1066	C₄×D₅	—	4	2	no	—
1067	C₄×D₅	—	4	2	no	—
1068	C₄×D₅	—	4	2	no	—
1069	C₄×D₅	—	8	1	no	—
1070	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1071	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1072	Dic₁₀	—	2	1	no	—
1073	Dic₁₀	—	2	1	no	—
1074	Dic₁₀	—	2	1	no	—
1075	Dic₁₀	—	2	1	no	—
1076	Dic₁₀	—	2	1	no	—
1077	Dic₁₀	—	2	1	no	—
1078	Dic₁₀	—	4	2	no	—
1079	Dic₁₀	—	4	2	no	—
1080	Dic₁₀	—	8	1	no	—
1081	C₅×C₈	—	2	1	no	—
1082	C₅×C₈	—	2	1	no	—
1083	C₅×C₈	—	2	1	no	—
1084	C₅×C₈	—	2	1	no	—
1085	#168	—	2	1	no	—
1086	#168	—	2	1	no	—
1087	#168	—	2	1	no	—
1088	#168	—	2	1	no	—
1089	C₂⁵	—	10	1	no	—
1090	C₂×#41	—	5	1	no	—
1091	C₂×#41	—	5	1	no	—
1092	C₂×#41	—	5	1	no	—
1093	C₂×#41	—	5	1	no	—
1094	C₂×#41	—	10	1	no	—
1095	C₂×#41	—	10	1	no	—
1096	C₂×#41	—	20	2	no	—
1097	C₂×#41	—	20	2	no	—
1098	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1099	C₂²×Q₈	—	5	1	no	—
1100	C₂²×Q₈	—	5	1	no	—
1101	C₂²×D₄	—	5	1	no	—
1102	C₂²×D₄	—	5	1	no	—
1103	C₂²×D₄	—	5	1	no	—
1104	C₂²×D₄	—	5	1	no	—
1105	C₂²×D₄	—	5	1	no	—
1106	C₂²×D₄	—	5	1	no	—
1107	C₂²×D₄	—	10	1	no	—
1108	C₂²×D₄	—	10	1	no	—
1109	C₂²×D₄	—	10	1	no	—
1110	C₂²×D₄	—	10	1	no	—
1111	C₂²×D₄	—	10	1	no	—
1112	C₂²×D₄	—	10	1	no	—
1113	C₂²×D₄	—	10	1	no	—
1114	C₂²×D₄	—	10	1	no	—
1115	C₂²×D₄	—	20	2	no	—
1116	C₂²×D₄	—	20	2	no	—
1117	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1118	C₂³×C₄	—	5	1	no	—
1119	C₂³×C₄	—	10	1	no	—
1120	#137	—	20	2	no	—
1121	#137	—	20	2	no	—
1122	AGL(1,ℤ/8)	—	20	2	no	—
1123	AGL(1,ℤ/8)	—	20	2	no	—
1124	#135	—	20	2	no	—
1125	#135	—	20	2	no	—
1126	C₂×Q₁₆	—	5	1	no	—
1127	C₂×Q₁₆	—	5	1	no	—
1128	C₂×Q₁₆	—	5	1	no	—
1129	C₂×Q₁₆	—	5	1	no	—
1130	C₂×Q₁₆	—	5	1	no	—
1131	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1132	C₂×SD₁₆	—	5	1	no	—
1133	C₂×SD₁₆	—	5	1	no	—
1134	C₂×SD₁₆	—	5	1	no	—
1135	C₂×SD₁₆	—	5	1	no	—
1136	C₂×SD₁₆	—	5	1	no	—
1137	C₂×SD₁₆	—	5	1	no	—
1138	C₂×SD₁₆	—	5	1	no	—
1139	C₂×SD₁₆	—	5	1	no	—
1140	C₂×SD₁₆	—	5	1	no	—
1141	C₂×SD₁₆	—	5	1	no	—
1142	C₂×SD₁₆	—	5	1	no	—
1143	C₂×SD₁₆	—	5	1	no	—
1144	C₂×SD₁₆	—	5	1	no	—
1145	C₂×SD₁₆	—	5	1	no	—
1146	C₂×SD₁₆	—	5	1	no	—
1147	C₂×SD₁₆	—	5	1	no	—
1148	C₂×SD₁₆	—	20	2	no	—
1149	C₂×SD₁₆	—	20	2	no	—
1150	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1151	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1152	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1153	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1154	C₂×D₈	—	5	1	no	—
1155	C₂×D₈	—	5	1	no	—
1156	C₂×D₈	—	5	1	no	—
1157	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1158	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1159	C₂×D₈	C₂²×D₅	1	1	yes	characteristic, complemented
1160	C₂×M₁₆	—	5	1	no	—
1161	C₂×M₁₆	—	5	1	no	—
1162	C₂²×C₈	—	5	1	no	—
1163	C₂²×C₈	—	5	1	no	—
1164	C₄⋊Q₈	—	5	1	no	—
1165	C₄⋊Q₈	—	5	1	no	—
1166	C₄⋊Q₈	—	5	1	no	—
1167	C₄⋊Q₈	—	10	1	no	—
1168	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1169	#127	—	5	1	no	—
1170	#127	—	5	1	no	—
1171	#127	—	5	1	no	—
1172	#127	—	5	1	no	—
1173	#127	—	5	1	no	—
1174	#127	—	5	1	no	—
1175	#127	—	10	1	no	—
1176	#127	—	10	1	no	—
1177	#127	—	10	1	no	—
1178	#127	—	10	1	no	—
1179	#127	C₂²×D₅	1	1	yes	characteristic
1180	#127	C₂²×D₅	1	1	yes	characteristic
1181	#126	—	2	1	no	—
1182	#126	—	10	1	no	—
1183	#126	—	10	1	no	—
1184	#126	—	10	1	no	—
1185	#126	—	10	1	no	—
1186	#126	—	10	1	no	—
1187	#126	—	10	1	no	—
1188	#126	—	10	1	no	—
1189	#125	—	5	1	no	—
1190	#125	—	5	1	no	—
1191	#125	—	10	1	no	—
1192	#125	—	10	1	no	—
1193	#125	—	10	1	no	—
1194	#125	—	10	1	no	—
1195	#125	—	10	1	no	—
1196	#125	—	10	1	no	—
1197	#125	—	10	1	no	—
1198	#124	—	2	1	no	—
1199	#124	—	5	1	no	—
1200	#124	—	5	1	no	—
1201	#124	—	5	1	no	—
1202	#124	—	5	1	no	—
1203	#124	—	5	1	no	—
1204	#124	—	5	1	no	—
1205	#124	—	5	1	no	—
1206	#124	—	10	1	no	—
1207	#124	—	10	1	no	—
1208	#124	—	10	1	no	—
1209	#124	—	10	1	no	—
1210	#124	—	10	1	no	—
1211	#124	C₂²×D₅	1	1	yes	characteristic
1212	#124	C₂²×D₅	1	1	yes	characteristic
1213	#124	C₂²×D₅	1	1	yes	characteristic, complemented
1214	#123	—	2	1	no	—
1215	#123	—	10	1	no	—
1216	#123	—	10	1	no	—
1217	#123	—	10	1	no	—
1218	#123	—	10	1	no	—
1219	#123	—	10	1	no	—
1220	#123	—	10	1	no	—
1221	C₂²⋊Q₈	—	2	1	no	—
1222	C₂²⋊Q₈	—	5	1	no	—
1223	C₂²⋊Q₈	—	5	1	no	—
1224	C₂²⋊Q₈	—	5	1	no	—
1225	C₂²⋊Q₈	—	5	1	no	—
1226	C₂²⋊Q₈	—	5	1	no	—
1227	C₂²⋊Q₈	—	10	1	no	—
1228	C₂²⋊Q₈	—	10	1	no	—
1229	C₂²⋊Q₈	—	10	1	no	—
1230	C₂²⋊Q₈	—	10	1	no	—
1231	C₂²⋊Q₈	—	10	1	no	—
1232	C₂²⋊Q₈	—	10	1	no	—
1233	C₂²⋊Q₈	—	10	1	no	—
1234	C₂²⋊Q₈	—	10	1	no	—
1235	C₂²⋊Q₈	—	10	1	no	—
1236	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1237	#121	—	2	1	no	—
1238	#121	—	2	1	no	—
1239	#121	—	5	1	no	—
1240	#121	—	10	1	no	—
1241	#121	—	10	1	no	—
1242	#121	—	10	1	no	—
1243	#121	—	10	1	no	—
1244	#121	—	10	1	no	—
1245	#121	—	10	1	no	—
1246	#121	—	10	1	no	—
1247	#121	—	10	1	no	—
1248	#121	—	10	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	C₂²×D₅	1	1	yes	characteristic
1255	#120	—	2	1	no	—
1256	#120	—	2	1	no	—
1257	#120	—	10	1	no	—
1258	#120	—	10	1	no	—
1259	#120	—	10	1	no	—
1260	#120	—	10	1	no	—
1261	#120	—	10	1	no	—
1262	#120	—	10	1	no	—
1263	#120	—	10	1	no	—
1264	#120	—	10	1	no	—
1265	#120	—	10	1	no	—
1266	#120	—	10	1	no	—
1267	#120	—	10	1	no	—
1268	#120	—	10	1	no	—
1269	#120	—	10	1	no	—
1270	#120	—	10	1	no	—
1271	#120	—	10	1	no	—
1272	C₄×Q₈	—	5	1	no	—
1273	C₄×Q₈	—	5	1	no	—
1274	C₄×Q₈	—	5	1	no	—
1275	C₄×Q₈	—	5	1	no	—
1276	C₄×Q₈	—	5	1	no	—
1277	C₄×Q₈	—	10	1	no	—
1278	C₄×Q₈	—	10	1	no	—
1279	C₄×Q₈	—	10	1	no	—
1280	C₄×Q₈	—	10	1	no	—
1281	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1282	C₄×D₄	—	5	1	no	—
1283	C₄×D₄	—	10	1	no	—
1284	C₄×D₄	—	10	1	no	—
1285	C₄×D₄	—	10	1	no	—
1286	C₄×D₄	—	10	1	no	—
1287	C₄×D₄	—	10	1	no	—
1288	C₄×D₄	—	10	1	no	—
1289	C₄×D₄	C₂²×D₅	1	1	yes	characteristic, complemented
1290	#117	—	5	1	no	—
1291	#117	—	5	1	no	—
1292	#117	—	5	1	no	—
1293	#117	—	5	1	no	—
1294	#117	—	5	1	no	—
1295	#117	—	5	1	no	—
1296	#117	—	5	1	no	—
1297	#117	—	5	1	no	—
1298	#117	—	10	1	no	—
1299	#117	—	10	1	no	—
1300	#117	—	10	1	no	—
1301	#117	—	10	1	no	—
1302	#117	—	10	1	no	—
1303	#117	—	10	1	no	—
1304	#117	—	10	1	no	—
1305	#117	C₂²×D₅	1	1	yes	characteristic
1306	C₂×C₄⋊C₄	—	5	1	no	—
1307	C₂×C₄⋊C₄	—	5	1	no	—
1308	C₂×C₄⋊C₄	—	5	1	no	—
1309	C₂×C₄⋊C₄	—	10	1	no	—
1310	C₂×C₄⋊C₄	—	10	1	no	—
1311	C₂×C₂²⋊C₄	—	5	1	no	—
1312	C₂×C₂²⋊C₄	—	5	1	no	—
1313	C₂×C₂²⋊C₄	—	10	1	no	—
1314	C₂×C₂²⋊C₄	—	10	1	no	—
1315	C₂×C₂²⋊C₄	—	10	1	no	—
1316	C₂×C₂²⋊C₄	—	10	1	no	—
1317	C₂×C₂²⋊C₄	—	10	1	no	—
1318	C₂×C₄²	—	5	1	no	—
1319	C₂×C₄²	—	5	1	no	—
1320	C₄⋊C₈	—	5	1	no	—
1321	C₄⋊C₈	—	5	1	no	—
1322	C₄⋊C₈	—	5	1	no	—
1323	C₄⋊C₈	—	5	1	no	—
1324	C₄⋊C₈	—	5	1	no	—
1325	C₄⋊C₈	—	5	1	no	—
1326	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1327	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1328	#103	—	5	1	no	—
1329	#103	—	5	1	no	—
1330	#103	—	5	1	no	—
1331	#103	—	5	1	no	—
1332	#103	—	5	1	no	—
1333	#103	—	5	1	no	—
1334	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1335	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1336	#102	—	5	1	no	—
1337	#102	—	5	1	no	—
1338	#102	—	5	1	no	—
1339	#102	—	5	1	no	—
1340	#102	—	5	1	no	—
1341	#102	—	5	1	no	—
1342	#102	—	5	1	no	—
1343	#102	—	5	1	no	—
1344	#102	—	5	1	no	—
1345	#102	—	5	1	no	—
1346	#102	—	5	1	no	—
1347	#102	—	5	1	no	—
1348	#102	—	5	1	no	—
1349	#102	—	5	1	no	—
1350	#102	—	5	1	no	—
1351	#102	—	5	1	no	—
1352	#102	—	5	1	no	—
1353	#102	—	5	1	no	—
1354	#102	C₂²×D₅	1	1	yes	characteristic
1355	#102	C₂²×D₅	1	1	yes	characteristic
1356	#102	C₂²×D₅	1	1	yes	characteristic
1357	#102	C₂²×D₅	1	1	yes	characteristic
1358	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1359	#102	C₂²×D₅	1	1	yes	characteristic, complemented
1360	C₂²⋊C₈	—	5	1	no	—
1361	C₂²⋊C₈	—	5	1	no	—
1362	C₂²⋊C₈	—	5	1	no	—
1363	C₂²⋊C₈	—	5	1	no	—
1364	C₂²⋊C₈	—	5	1	no	—
1365	C₂²⋊C₈	—	5	1	no	—
1366	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1367	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1368	#97	—	5	1	no	—
1369	#97	—	5	1	no	—
1370	#97	—	5	1	no	—
1371	#97	C₂²×D₅	1	1	yes	characteristic, complemented
1372	C₄×C₈	—	5	1	no	—
1373	C₄×C₈	—	5	1	no	—
1374	C₄×C₈	—	5	1	no	—
1375	C₄×C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1376	C₂²×C₅	—	2	1	no	—
1377	C₂²×C₅	—	2	1	no	—
1378	C₂²×C₅	—	2	1	no	—
1379	C₂²×C₅	—	4	1	no	—
1380	C₂²×C₅	—	4	1	no	—
1381	C₂²×C₅	—	4	1	no	—
1382	C₂²×C₅	—	4	1	no	—
1383	C₂²×C₅	—	4	1	no	—
1384	C₂²×C₅	—	4	1	no	—
1385	C₂²×C₅	—	4	1	no	—
1386	C₂²×C₅	—	4	1	no	—
1387	C₂²×C₅	—	4	1	no	—
1388	C₂²×C₅	—	4	1	no	—
1389	C₂²×C₅	—	4	1	no	—
1390	C₂²×C₅	—	4	1	no	—
1391	C₂²×C₅	—	8	4	no	—
1392	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1393	C₂×D₅	—	2	1	no	—
1394	C₂×D₅	—	2	1	no	—
1395	C₂×D₅	—	2	1	no	—
1396	C₂×D₅	—	2	1	no	—
1397	C₂×D₅	—	4	4	no	—
1398	C₂×D₅	—	4	1	no	—
1399	C₂×D₅	—	4	1	no	—
1400	C₂×D₅	—	4	1	no	—
1401	C₂×D₅	—	4	1	no	—
1402	C₂×D₅	—	4	1	no	—
1403	C₂×D₅	—	4	1	no	—
1404	C₂×D₅	—	4	1	no	—
1405	C₂×D₅	—	4	1	no	—
1406	C₂×D₅	—	4	1	no	—
1407	C₂×D₅	—	8	4	no	—
1408	C₂×D₅	—	8	4	no	—
1409	C₂×D₅	—	8	4	no	—
1410	C₂×D₅	—	8	4	no	—
1411	C₂×D₅	—	8	4	no	—
1412	C₂×D₅	—	8	4	no	—
1413	C₂×D₅	#535	1	2	yes	—
1414	C₂×D₅	#577	1	2	yes	—
1415	C₄×C₅	—	2	1	no	—
1416	C₄×C₅	—	2	1	no	—
1417	C₄×C₅	—	2	1	no	—
1418	C₄×C₅	—	2	1	no	—
1419	C₄×C₅	—	2	1	no	—
1420	C₄×C₅	—	4	1	no	—
1421	C₄×C₅	—	4	1	no	—
1422	C₄×C₅	—	4	1	no	—
1423	C₄×C₅	—	4	1	no	—
1424	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1425	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1426	Dic₅	—	2	1	no	—
1427	Dic₅	—	2	1	no	—
1428	Dic₅	—	2	1	no	—
1429	Dic₅	—	2	1	no	—
1430	Dic₅	—	2	1	no	—
1431	Dic₅	—	4	1	no	—
1432	Dic₅	—	4	1	no	—
1433	Dic₅	—	4	1	no	—
1434	Dic₅	—	4	1	no	—
1435	Dic₅	—	4	1	no	—
1436	Dic₅	#535	1	2	yes	—
1437	C₂⁴	—	2	1	no	—
1438	C₂⁴	—	5	1	no	—
1439	C₂⁴	—	10	1	no	—
1440	C₂⁴	—	10	1	no	—
1441	C₂⁴	—	10	1	no	—
1442	C₂⁴	—	10	1	no	—
1443	C₂⁴	—	10	1	no	—
1444	C₂⁴	—	10	1	no	—
1445	C₂⁴	—	20	4	no	—
1446	C₂⁴	—	40	2	no	—
1447	C₂⁴	—	40	2	no	—
1448	#41	—	4	1	no	—
1449	#41	—	4	1	no	—
1450	#41	—	10	2	no	—
1451	#41	—	10	2	no	—
1452	#41	—	10	2	no	—
1453	#41	—	10	2	no	—
1454	#41	—	10	2	no	—
1455	#41	—	10	2	no	—
1456	#41	—	20	1	no	—
1457	#41	—	20	1	no	—
1458	#41	—	20	4	no	—
1459	#41	—	20	4	no	—
1460	C₂×Q₈	—	2	1	no	—
1461	C₂×Q₈	—	5	1	no	—
1462	C₂×Q₈	—	5	1	no	—
1463	C₂×Q₈	—	5	1	no	—
1464	C₂×Q₈	—	10	1	no	—
1465	C₂×Q₈	—	10	1	no	—
1466	C₂×Q₈	—	10	1	no	—
1467	C₂×Q₈	—	10	2	no	—
1468	C₂×Q₈	—	10	2	no	—
1469	C₂×Q₈	—	20	1	no	—
1470	C₂×Q₈	—	20	1	no	—
1471	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1472	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1473	C₂×D₄	—	2	1	no	—
1474	C₂×D₄	—	2	1	no	—
1475	C₂×D₄	—	2	1	no	—
1476	C₂×D₄	—	2	1	no	—
1477	C₂×D₄	—	2	1	no	—
1478	C₂×D₄	—	2	1	no	—
1479	C₂×D₄	—	2	1	no	—
1480	C₂×D₄	—	4	1	no	—
1481	C₂×D₄	—	4	1	no	—
1482	C₂×D₄	—	5	1	no	—
1483	C₂×D₄	—	5	1	no	—
1484	C₂×D₄	—	5	1	no	—
1485	C₂×D₄	—	10	1	no	—
1486	C₂×D₄	—	10	2	no	—
1487	C₂×D₄	—	10	2	no	—
1488	C₂×D₄	—	10	2	no	—
1489	C₂×D₄	—	10	2	no	—
1490	C₂×D₄	—	10	1	no	—
1491	C₂×D₄	—	10	1	no	—
1492	C₂×D₄	—	10	1	no	—
1493	C₂×D₄	—	10	1	no	—
1494	C₂×D₄	—	10	1	no	—
1495	C₂×D₄	—	10	1	no	—
1496	C₂×D₄	—	10	1	no	—
1497	C₂×D₄	—	10	1	no	—
1498	C₂×D₄	—	10	1	no	—
1499	C₂×D₄	—	10	1	no	—
1500	C₂×D₄	—	10	1	no	—
1501	C₂×D₄	—	10	1	no	—
1502	C₂×D₄	—	10	1	no	—
1503	C₂×D₄	—	10	1	no	—
1504	C₂×D₄	—	10	1	no	—
1505	C₂×D₄	—	10	1	no	—
1506	C₂×D₄	—	10	1	no	—
1507	C₂×D₄	—	10	1	no	—
1508	C₂×D₄	—	10	1	no	—
1509	C₂×D₄	—	10	1	no	—
1510	C₂×D₄	—	10	1	no	—
1511	C₂×D₄	—	10	1	no	—
1512	C₂×D₄	—	20	1	no	—
1513	C₂×D₄	—	20	1	no	—
1514	C₂×D₄	—	20	1	no	—
1515	C₂×D₄	—	20	1	no	—
1516	C₂×D₄	—	20	1	no	—
1517	C₂×D₄	—	20	1	no	—
1518	C₂×D₄	—	20	1	no	—
1519	C₂×D₄	—	20	1	no	—
1520	C₂×D₄	—	20	4	no	—
1521	C₂×D₄	—	20	4	no	—
1522	C₂×D₄	—	20	4	no	—
1523	C₂×D₄	—	20	4	no	—
1524	C₂×D₄	—	40	2	no	—
1525	C₂×D₄	—	40	2	no	—
1526	C₂×D₄	—	40	2	no	—
1527	C₂×D₄	—	40	2	no	—
1528	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1529	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1530	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1531	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1532	C₂²×C₄	—	2	1	no	—
1533	C₂²×C₄	—	2	1	no	—
1534	C₂²×C₄	—	5	1	no	—
1535	C₂²×C₄	—	5	1	no	—
1536	C₂²×C₄	—	5	1	no	—
1537	C₂²×C₄	—	5	1	no	—
1538	C₂²×C₄	—	5	1	no	—
1539	C₂²×C₄	—	5	1	no	—
1540	C₂²×C₄	—	5	1	no	—
1541	C₂²×C₄	—	5	1	no	—
1542	C₂²×C₄	—	5	1	no	—
1543	C₂²×C₄	—	10	2	no	—
1544	C₂²×C₄	—	10	2	no	—
1545	C₂²×C₄	—	10	1	no	—
1546	C₂²×C₄	—	10	1	no	—
1547	C₂²×C₄	—	10	1	no	—
1548	C₂²×C₄	—	10	1	no	—
1549	C₂²×C₄	—	10	1	no	—
1550	C₂²×C₄	—	10	1	no	—
1551	C₂²×C₄	—	10	1	no	—
1552	C₂²×C₄	—	10	1	no	—
1553	C₂²×C₄	—	20	4	no	—
1554	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1555	Q₁₆	—	4	1	no	—
1556	Q₁₆	—	20	1	no	—
1557	Q₁₆	—	20	1	no	—
1558	Q₁₆	—	20	1	no	—
1559	Q₁₆	—	20	1	no	—
1560	Q₁₆	—	20	1	no	—
1561	SD₁₆	—	4	1	no	—
1562	SD₁₆	—	4	1	no	—
1563	SD₁₆	—	4	1	no	—
1564	SD₁₆	—	4	1	no	—
1565	SD₁₆	—	20	1	no	—
1566	SD₁₆	—	20	1	no	—
1567	SD₁₆	—	20	1	no	—
1568	SD₁₆	—	20	1	no	—
1569	SD₁₆	—	20	1	no	—
1570	SD₁₆	—	20	1	no	—
1571	SD₁₆	—	20	1	no	—
1572	SD₁₆	—	20	1	no	—
1573	SD₁₆	—	20	1	no	—
1574	SD₁₆	—	20	1	no	—
1575	SD₁₆	—	20	1	no	—
1576	SD₁₆	—	20	1	no	—
1577	SD₁₆	—	20	1	no	—
1578	SD₁₆	—	20	1	no	—
1579	SD₁₆	—	20	1	no	—
1580	SD₁₆	—	20	1	no	—
1581	D₈	—	4	1	no	—
1582	D₈	—	4	1	no	—
1583	D₈	—	4	1	no	—
1584	D₈	—	20	1	no	—
1585	D₈	—	20	1	no	—
1586	D₈	—	20	1	no	—
1587	M₁₆	—	10	2	no	—
1588	M₁₆	—	10	2	no	—
1589	C₂×C₈	—	5	1	no	—
1590	C₂×C₈	—	5	1	no	—
1591	C₂×C₈	—	5	1	no	—
1592	C₂×C₈	—	5	1	no	—
1593	C₂×C₈	—	10	2	no	—
1594	C₂×C₈	—	10	2	no	—
1595	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1596	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1597	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1598	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1599	C₄⋊C₄	—	2	1	no	—
1600	C₄⋊C₄	—	2	1	no	—
1601	C₄⋊C₄	—	2	1	no	—
1602	C₄⋊C₄	—	5	1	no	—
1603	C₄⋊C₄	—	5	1	no	—
1604	C₄⋊C₄	—	5	1	no	—
1605	C₄⋊C₄	—	5	1	no	—
1606	C₄⋊C₄	—	5	1	no	—
1607	C₄⋊C₄	—	5	1	no	—
1608	C₄⋊C₄	—	5	1	no	—
1609	C₄⋊C₄	—	5	1	no	—
1610	C₄⋊C₄	—	10	1	no	—
1611	C₄⋊C₄	—	10	1	no	—
1612	C₄⋊C₄	—	10	1	no	—
1613	C₄⋊C₄	—	10	1	no	—
1614	C₄⋊C₄	—	10	1	no	—
1615	C₄⋊C₄	—	10	1	no	—
1616	C₄⋊C₄	—	10	1	no	—
1617	C₄⋊C₄	—	10	1	no	—
1618	C₄⋊C₄	—	10	1	no	—
1619	C₄⋊C₄	—	10	1	no	—
1620	C₄⋊C₄	—	10	1	no	—
1621	C₄⋊C₄	—	10	1	no	—
1622	C₄⋊C₄	—	10	1	no	—
1623	C₄⋊C₄	—	10	1	no	—
1624	C₄⋊C₄	—	10	1	no	—
1625	C₄⋊C₄	—	10	1	no	—
1626	C₄⋊C₄	—	10	1	no	—
1627	C₄⋊C₄	—	10	1	no	—
1628	C₄⋊C₄	—	10	1	no	—
1629	C₄⋊C₄	—	10	1	no	—
1630	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1631	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1632	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1633	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1634	C₂²⋊C₄	—	2	1	no	—
1635	C₂²⋊C₄	—	2	1	no	—
1636	C₂²⋊C₄	—	2	1	no	—
1637	C₂²⋊C₄	—	2	1	no	—
1638	C₂²⋊C₄	—	2	1	no	—
1639	C₂²⋊C₄	—	2	1	no	—
1640	C₂²⋊C₄	—	2	1	no	—
1641	C₂²⋊C₄	—	2	1	no	—
1642	C₂²⋊C₄	—	2	1	no	—
1643	C₂²⋊C₄	—	5	1	no	—
1644	C₂²⋊C₄	—	5	1	no	—
1645	C₂²⋊C₄	—	5	1	no	—
1646	C₂²⋊C₄	—	5	1	no	—
1647	C₂²⋊C₄	—	5	1	no	—
1648	C₂²⋊C₄	—	5	1	no	—
1649	C₂²⋊C₄	—	10	1	no	—
1650	C₂²⋊C₄	—	10	1	no	—
1651	C₂²⋊C₄	—	10	1	no	—
1652	C₂²⋊C₄	—	10	1	no	—
1653	C₂²⋊C₄	—	10	1	no	—
1654	C₂²⋊C₄	—	10	1	no	—
1655	C₂²⋊C₄	—	10	1	no	—
1656	C₂²⋊C₄	—	10	1	no	—
1657	C₂²⋊C₄	—	10	1	no	—
1658	C₂²⋊C₄	—	10	1	no	—
1659	C₂²⋊C₄	—	10	1	no	—
1660	C₂²⋊C₄	—	10	1	no	—
1661	C₂²⋊C₄	—	10	1	no	—
1662	C₂²⋊C₄	—	10	1	no	—
1663	C₂²⋊C₄	—	10	1	no	—
1664	C₂²⋊C₄	—	10	1	no	—
1665	C₂²⋊C₄	—	10	1	no	—
1666	C₂²⋊C₄	—	10	1	no	—
1667	C₂²⋊C₄	—	10	1	no	—
1668	C₂²⋊C₄	—	10	1	no	—
1669	C₂²⋊C₄	—	10	1	no	—
1670	C₂²⋊C₄	—	10	1	no	—
1671	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1672	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1673	C₄²	—	2	1	no	—
1674	C₄²	—	5	1	no	—
1675	C₄²	—	5	1	no	—
1676	C₄²	—	5	1	no	—
1677	C₄²	—	5	1	no	—
1678	C₄²	—	5	1	no	—
1679	C₄²	—	5	1	no	—
1680	C₄²	—	10	1	no	—
1681	C₄²	—	10	1	no	—
1682	C₄²	—	10	1	no	—
1683	C₄²	—	10	1	no	—
1684	C₄²	—	10	1	no	—
1685	C₄²	—	10	1	no	—
1686	C₄²	C₂³×D₅	1	1	yes	characteristic
1687	C₄²	C₂³×D₅	1	1	yes	characteristic
1688	C₂×C₅	—	4	1	no	—
1689	C₂×C₅	—	8	1	no	—
1690	C₂×C₅	—	8	1	no	—
1691	C₂×C₅	—	8	1	no	—
1692	C₂×C₅	—	8	1	no	—
1693	C₂×C₅	C₂×#535	1	1	yes	characteristic
1694	C₂×C₅	C₂×#577	1	1	yes	characteristic
1695	C₂×C₅	#3585	1	1	yes	characteristic
1696	D₅	—	2	2	no	—
1697	D₅	—	2	2	no	—
1698	D₅	—	8	1	no	—
1699	D₅	—	8	1	no	—
1700	D₅	—	8	1	no	—
1701	C₂³	—	2	1	no	—
1702	C₂³	—	2	1	no	—
1703	C₂³	—	2	1	no	—
1704	C₂³	—	2	1	no	—
1705	C₂³	—	4	2	no	—
1706	C₂³	—	5	1	no	—
1707	C₂³	—	5	1	no	—
1708	C₂³	—	8	1	no	—
1709	C₂³	—	8	1	no	—
1710	C₂³	—	10	2	no	—
1711	C₂³	—	10	2	no	—
1712	C₂³	—	10	1	no	—
1713	C₂³	—	10	1	no	—
1714	C₂³	—	10	1	no	—
1715	C₂³	—	20	1	no	—
1716	C₂³	—	20	2	no	—
1717	C₂³	—	20	2	no	—
1718	C₂³	—	20	2	no	—
1719	C₂³	—	20	2	no	—
1720	C₂³	—	20	2	no	—
1721	C₂³	—	20	2	no	—
1722	C₂³	—	20	2	no	—
1723	C₂³	—	20	2	no	—
1724	C₂³	—	20	2	no	—
1725	C₂³	—	20	2	no	—
1726	C₂³	—	20	2	no	—
1727	C₂³	—	20	2	no	—
1728	C₂³	—	40	1	no	—
1729	C₂³	—	40	1	no	—
1730	C₂³	—	40	1	no	—
1731	C₂³	—	40	1	no	—
1732	C₂³	—	40	1	no	—
1733	C₂³	—	40	1	no	—
1734	C₂³	—	40	16	no	—
1735	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1736	Q₈	—	2	1	no	—
1737	Q₈	—	2	1	no	—
1738	Q₈	—	2	1	no	—
1739	Q₈	—	2	1	no	—
1740	Q₈	—	8	1	no	—
1741	Q₈	—	10	1	no	—
1742	Q₈	—	10	1	no	—
1743	Q₈	—	10	1	no	—
1744	Q₈	—	10	1	no	—
1745	Q₈	—	10	1	no	—
1746	Q₈	—	10	1	no	—
1747	Q₈	—	20	2	no	—
1748	Q₈	—	20	2	no	—
1749	Q₈	—	40	1	no	—
1750	D₄	—	2	1	no	—
1751	D₄	—	2	1	no	—
1752	D₄	—	2	1	no	—
1753	D₄	—	2	1	no	—
1754	D₄	—	2	1	no	—
1755	D₄	—	2	1	no	—
1756	D₄	—	2	1	no	—
1757	D₄	—	2	1	no	—
1758	D₄	—	4	2	no	—
1759	D₄	—	4	2	no	—
1760	D₄	—	8	1	no	—
1761	D₄	—	8	1	no	—
1762	D₄	—	8	1	no	—
1763	D₄	—	8	1	no	—
1764	D₄	—	8	1	no	—
1765	D₄	—	10	1	no	—
1766	D₄	—	10	1	no	—
1767	D₄	—	10	1	no	—
1768	D₄	—	10	1	no	—
1769	D₄	—	10	1	no	—
1770	D₄	—	10	1	no	—
1771	D₄	—	20	2	no	—
1772	D₄	—	20	2	no	—
1773	D₄	—	20	2	no	—
1774	D₄	—	20	2	no	—
1775	D₄	—	20	2	no	—
1776	D₄	—	20	2	no	—
1777	D₄	—	20	2	no	—
1778	D₄	—	20	2	no	—
1779	D₄	—	20	2	no	—
1780	D₄	—	20	2	no	—
1781	D₄	—	20	2	no	—
1782	D₄	—	40	1	no	—
1783	D₄	—	40	1	no	—
1784	D₄	—	40	1	no	—
1785	D₄	—	40	1	no	—
1786	D₄	—	40	1	no	—
1787	D₄	—	40	1	no	—
1788	D₄	—	40	1	no	—
1789	D₄	—	40	1	no	—
1790	D₄	—	40	1	no	—
1791	D₄	—	40	1	no	—
1792	D₄	—	40	1	no	—
1793	D₄	—	40	1	no	—
1794	C₂×C₄	—	2	1	no	—
1795	C₂×C₄	—	2	1	no	—
1796	C₂×C₄	—	2	1	no	—
1797	C₂×C₄	—	2	1	no	—
1798	C₂×C₄	—	2	1	no	—
1799	C₂×C₄	—	2	1	no	—
1800	C₂×C₄	—	4	2	no	—
1801	C₂×C₄	—	5	1	no	—
1802	C₂×C₄	—	5	2	no	—
1803	C₂×C₄	—	5	2	no	—
1804	C₂×C₄	—	5	1	no	—
1805	C₂×C₄	—	5	1	no	—
1806	C₂×C₄	—	5	1	no	—
1807	C₂×C₄	—	5	1	no	—
1808	C₂×C₄	—	5	1	no	—
1809	C₂×C₄	—	8	1	no	—
1810	C₂×C₄	—	10	2	no	—
1811	C₂×C₄	—	10	2	no	—
1812	C₂×C₄	—	10	2	no	—
1813	C₂×C₄	—	10	2	no	—
1814	C₂×C₄	—	10	2	no	—
1815	C₂×C₄	—	10	1	no	—
1816	C₂×C₄	—	10	1	no	—
1817	C₂×C₄	—	10	1	no	—
1818	C₂×C₄	—	10	1	no	—
1819	C₂×C₄	—	10	1	no	—
1820	C₂×C₄	—	10	1	no	—
1821	C₂×C₄	—	10	1	no	—
1822	C₂×C₄	—	20	1	no	—
1823	C₂×C₄	—	20	1	no	—
1824	C₂×C₄	—	20	2	no	—
1825	C₂×C₄	—	20	2	no	—
1826	C₂×C₄	—	20	2	no	—
1827	C₂×C₄	—	20	2	no	—
1828	C₂×C₄	—	20	2	no	—
1829	C₂×C₄	—	20	2	no	—
1830	C₂×C₄	—	40	1	no	—
1831	C₂×C₄	—	40	1	no	—
1832	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1833	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1834	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1835	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1836	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1837	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1838	C₈	—	2	1	no	—
1839	C₈	—	2	1	no	—
1840	C₈	—	2	1	no	—
1841	C₈	—	2	1	no	—
1842	C₈	—	10	1	no	—
1843	C₈	—	10	1	no	—
1844	C₈	—	10	1	no	—
1845	C₈	—	10	1	no	—
1846	C₅	#60812	1	1	yes	characteristic, complemented, Sylow
1847	C₂²	—	2	1	no	—
1848	C₂²	—	2	1	no	—
1849	C₂²	—	2	1	no	—
1850	C₂²	—	4	1	no	—
1851	C₂²	—	4	1	no	—
1852	C₂²	—	4	1	no	—
1853	C₂²	—	4	1	no	—
1854	C₂²	—	4	1	no	—
1855	C₂²	—	4	1	no	—
1856	C₂²	—	4	1	no	—
1857	C₂²	—	4	1	no	—
1858	C₂²	—	4	1	no	—
1859	C₂²	—	4	1	no	—
1860	C₂²	—	4	1	no	—
1861	C₂²	—	4	1	no	—
1862	C₂²	—	5	2	no	—
1863	C₂²	—	5	2	no	—
1864	C₂²	—	8	4	no	—
1865	C₂²	—	10	1	no	—
1866	C₂²	—	10	1	no	—
1867	C₂²	—	10	1	no	—
1868	C₂²	—	10	1	no	—
1869	C₂²	—	20	4	no	—
1870	C₂²	—	20	1	no	—
1871	C₂²	—	20	1	no	—
1872	C₂²	—	20	1	no	—
1873	C₂²	—	20	1	no	—
1874	C₂²	—	20	1	no	—
1875	C₂²	—	20	1	no	—
1876	C₂²	—	20	1	no	—
1877	C₂²	—	20	1	no	—
1878	C₂²	—	20	1	no	—
1879	C₂²	—	40	4	no	—
1880	C₂²	—	40	4	no	—
1881	C₂²	—	40	4	no	—
1882	C₂²	—	40	4	no	—
1883	C₂²	—	40	4	no	—
1884	C₂²	—	40	4	no	—
1885	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1886	C₄	—	2	1	no	—
1887	C₄	—	2	1	no	—
1888	C₄	—	2	1	no	—
1889	C₄	—	2	1	no	—
1890	C₄	—	2	1	no	—
1891	C₄	—	4	1	no	—
1892	C₄	—	4	1	no	—
1893	C₄	—	4	1	no	—
1894	C₄	—	4	1	no	—
1895	C₄	—	5	2	no	—
1896	C₄	—	10	1	no	—
1897	C₄	—	10	1	no	—
1898	C₄	—	10	1	no	—
1899	C₄	—	10	1	no	—
1900	C₄	—	10	1	no	—
1901	C₄	—	20	1	no	—
1902	C₄	—	20	1	no	—
1903	C₄	—	20	1	no	—
1904	C₄	—	20	1	no	—
1905	C₄	—	20	1	no	—
1906	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1907	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1908	C₂	—	4	1	no	—
1909	C₂	—	8	1	no	—
1910	C₂	—	8	1	no	—
1911	C₂	—	8	1	no	—
1912	C₂	—	8	1	no	—
1913	C₂	—	10	2	no	—
1914	C₂	—	10	2	no	—
1915	C₂	—	40	1	no	—
1916	C₂	—	40	1	no	—
1917	C₂	—	40	1	no	—
1918	C₂	D₅×#535	1	1	yes	characteristic
1919	C₂	#10619105	1	1	yes	characteristic
1920	C₂	D₅×#577	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×#3224	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3224	D₅
hypocenter	C₅	#60812
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3224

Complements

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

N	H ≅ G/N	type
1. #10618452	C₂	semidirect
2. D₅×#535	C₂	semidirect
3. C₅×#3224	C₂	semidirect
4. #10615194	C₂	semidirect
5. #10615124	C₂	semidirect
6. #10613582	C₂	semidirect
7. #10613578	C₂	semidirect
8. #10613556	C₂	semidirect
9. #10613553	C₂	semidirect
10. #10613417	C₂	semidirect
11. #10613411	C₂	semidirect
12. #10613299	C₂	semidirect
13. #10613294	C₂	semidirect
14. #10612337	C₂	semidirect
15. #10612331	C₂	semidirect
16. #10612272	C₂	semidirect
17. #10612269	C₂	semidirect
18. #10612118	C₂	semidirect
19. #10612116	C₂	semidirect
20. #10612070	C₂	semidirect
21. #10612066	C₂	semidirect
22. #10611993	C₂	semidirect
23. #10611959	C₂	semidirect
24. D₅×#450	C₂	semidirect
25. #10611873	C₂	semidirect
26. #10611850	C₂	semidirect
27. #10611813	C₂	semidirect
28. #10611733	C₂	semidirect
29. #10611730	C₂	semidirect
30. #10611122	C₂	semidirect
31. #10611105	C₂	semidirect
34. C₅×#542	C₂²	semidirect
38. C₂×#4064	C₂²	semidirect
39. C₂×#4062	C₂²	semidirect
40. C₂×#4061	C₂²	semidirect
41. C₂×D₅×SD₁₆	C₂²	semidirect
42. C₂×D₅×SD₁₆	C₂²	semidirect
43. C₂×#4058	C₂²	semidirect
44. C₂×#4057	C₂²	semidirect
45. C₂×#4057	C₂²	semidirect
46. #66063	C₂²	semidirect
47. #66062	C₂²	semidirect
54. #66014	C₂²	semidirect
56. #66009	C₂²	semidirect
67. #65959	C₂²	semidirect
73. #65937	C₂²	semidirect
78. #65912	C₂²	semidirect
79. #65906	C₂²	semidirect
80. #65891	C₂²	semidirect
81. #65880	C₂²	semidirect
84. #65852	C₂²	semidirect
85. C₅×#496	C₂²	semidirect
86. C₅×#495	C₂²	semidirect
87. C₅×#489	C₂²	semidirect
88. C₅×#486	C₂²	semidirect
89. C₅×#464	C₂²	semidirect
90. C₅×#463	C₂²	semidirect
91. C₅×#460	C₂²	semidirect
92. C₅×#459	C₂²	semidirect
93. C₅×#452	C₂²	semidirect
94. C₅×#450	C₂²	semidirect
95. C₅×#449	C₂²	semidirect
96. C₅×#447	C₂²	semidirect
97. C₅×#433	C₂²	semidirect
98. #65528	C₂²	semidirect
99. #65528	C₂²	semidirect
100. #65507	C₂²	semidirect
101. #65507	C₂²	semidirect
102. #65479	C₂²	semidirect
103. #65475	C₂²	semidirect
104. #65474	C₂²	semidirect
105. #65464	C₂²	semidirect
106. #65464	C₂²	semidirect
107. #65459	C₂²	semidirect
110. #65458	C₂²	semidirect
111. #65457	C₂²	semidirect
112. #65456	C₂²	semidirect
113. #65455	C₂²	semidirect
114. #65454	C₂²	semidirect
115. #65452	C₂²	semidirect
116. #65452	C₂²	semidirect
119. #65445	C₂²	semidirect
120. #65444	C₂²	semidirect
121. #65443	C₂²	semidirect
122. #65443	C₂²	semidirect
123. #65442	C₂²	semidirect
124. #65439	C₂²	semidirect
125. #65439	C₂²	semidirect
126. #65378	C₂²	semidirect
127. #65377	C₂²	semidirect
128. #65365	C₂²	semidirect
129. #65364	C₂²	semidirect
130. #65364	C₂²	semidirect
131. #65360	C₂²	semidirect
132. #65349	C₂²	semidirect
133. #65348	C₂²	semidirect
134. #65347	C₂²	semidirect
135. #65345	C₂²	semidirect
136. #65343	C₂²	semidirect
137. #65343	C₂²	semidirect
138. #65336	C₂²	semidirect
139. #65335	C₂²	semidirect
140. #65326	C₂²	semidirect
141. #65325	C₂²	semidirect
142. #65317	C₂²	semidirect
143. #65316	C₂²	semidirect
144. #65305	C₂²	semidirect
145. #65304	C₂²	semidirect
146. #65289	C₂²	semidirect
147. #65137	C₂²	semidirect
148. #65137	C₂²	semidirect
149. #65134	C₂²	semidirect
150. #65134	C₂²	semidirect
151. #65128	C₂²	semidirect
152. #65128	C₂²	semidirect
153. #65124	C₂²	semidirect
154. #65122	C₂²	semidirect
155. #65097	C₂²	semidirect
156. #65097	C₂²	semidirect
157. #65093	C₂²	semidirect
158. #65092	C₂²	semidirect
159. #65089	C₂²	semidirect
160. #65087	C₂²	semidirect
161. #65087	C₂²	semidirect
162. #65084	C₂²	semidirect
167. #65065	C₂²	semidirect
168. #65065	C₂²	semidirect
169. #65061	C₂²	semidirect
170. #65060	C₂²	semidirect
171. #65059	C₂²	semidirect
172. #65059	C₂²	semidirect
173. D₅×#102	C₂²	semidirect
174. D₅×#102	C₂²	semidirect
175. #65057	C₂²	semidirect
176. #65056	C₂²	semidirect
177. #65056	C₂²	semidirect
178. #65054	C₂²	semidirect
179. #65053	C₂²	semidirect
180. #65053	C₂²	semidirect
181. #65051	C₂²	semidirect
182. #65051	C₂²	semidirect
183. #65051	C₂²	semidirect
184. #65051	C₂²	semidirect
185. #65049	C₂²	semidirect
186. #65049	C₂²	semidirect
187. #65022	C₂²	semidirect
188. #65022	C₂²	semidirect
189. #65020	C₂²	semidirect
190. #65020	C₂²	semidirect
193. #65009	C₂²	semidirect
194. #65009	C₂²	semidirect
195. #65004	C₂²	semidirect
196. #65002	C₂²	semidirect
197. #64997	C₂²	semidirect
198. #64994	C₂²	semidirect
199. #64986	C₂²	semidirect
200. #64982	C₂²	semidirect
201. #64978	C₂²	semidirect
202. #64974	C₂²	semidirect
235. C₂×C₅×Q₁₆	C₂³	semidirect
238. C₂×C₅×SD₁₆	C₂³	semidirect
239. C₂×C₅×SD₁₆	C₂³	semidirect
242. C₂×C₅×D₈	C₂³	semidirect
243. C₅×C₄⋊Q₈	C₂³	semidirect
250. C₅×#124	C₂³	semidirect
259. C₄×C₅×Q₈	C₂³	semidirect
260. C₄×C₅×D₄	C₂³	semidirect
270. Q₈×Dic₅	C₂³	semidirect
272. #4090	C₂³	semidirect
273. C₂×#689	C₂³	semidirect
274. C₂×#689	C₂³	semidirect
275. C₂×#689	C₂³	semidirect
278. C₂×#688	C₂³	semidirect
304. #4082	C₂³	semidirect
307. D₄×Dic₅	C₂³	semidirect
312. C₂×#687	C₂³	semidirect
313. C₂×#687	C₂³	semidirect
314. C₂×#687	C₂³	semidirect
317. C₂×#686	C₂³	semidirect
335. C₂×Dic₂₀	C₂³	semidirect
336. C₂×Dic₂₀	C₂³	semidirect
341. C₂×#677	C₂³	semidirect
342. C₂×#677	C₂³	semidirect
365. #4036	C₂³	semidirect
371. #4034	C₂³	semidirect
373. #4033	C₂³	semidirect
374. #4033	C₂³	semidirect
429. #4016	C₂³	semidirect
430. #4015	C₂³	semidirect
433. C₄×Dic₁₀	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
496. #3224	D₅	semidirect
793. #542	C₂×D₅	semidirect
833. #496	C₂×D₅	semidirect
837. #495	C₂×D₅	semidirect
849. #489	C₂×D₅	semidirect
857. #486	C₂×D₅	semidirect
869. #464	C₂×D₅	semidirect
873. #463	C₂×D₅	semidirect
885. #460	C₂×D₅	semidirect
889. #459	C₂×D₅	semidirect
895. #452	C₂×D₅	semidirect
913. #450	C₂×D₅	semidirect
915. #449	C₂×D₅	semidirect
921. #447	C₂×D₅	semidirect
925. #433	C₂×D₅	semidirect
1131. C₂×Q₁₆	C₂²×D₅	semidirect
1152. C₂×SD₁₆	C₂²×D₅	semidirect
1153. C₂×SD₁₆	C₂²×D₅	semidirect
1159. C₂×D₈	C₂²×D₅	semidirect
1168. C₄⋊Q₈	C₂²×D₅	semidirect
1213. #124	C₂²×D₅	semidirect
1281. C₄×Q₈	C₂²×D₅	semidirect
1289. C₄×D₄	C₂²×D₅	semidirect
1326. C₄⋊C₈	C₂²×D₅	semidirect
1327. C₄⋊C₈	C₂²×D₅	semidirect
1334. #103	C₂²×D₅	semidirect
1335. #103	C₂²×D₅	semidirect
1358. #102	C₂²×D₅	semidirect
1359. #102	C₂²×D₅	semidirect
1371. #97	C₂²×D₅	semidirect
1375. C₄×C₈	C₂²×D₅	semidirect
1846. C₅	#60812	semidirect

Maximal subgroups

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

subgroup	index
#10618452	2
D₅×#535	2
C₅×#3224	2
#10615194	2
#10615124	2
#10613582	2
#10613578	2
#10613556	2
#10613553	2
#10613417	2
#10613411	2
#10613299	2
#10613294	2
#10612337	2
#10612331	2
#10612272	2
#10612269	2
#10612118	2
#10612116	2
#10612070	2
#10612066	2
#10611993	2
#10611959	2
D₅×#450	2
#10611873	2
#10611850	2
#10611813	2
#10611733	2
#10611730	2
#10611122	2
#10611105	2
#60812	5