Subgroups — D₅×#3323 #12976105

Order 1280.

2254 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₅×#552	C₂	1	1	yes	maximal, characteristic, complemented
2	D₅×#546	C₂	1	1	yes	maximal, characteristic
3	C₅×#3323	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615332	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615232	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613388	C₂	1	1	yes	maximal, characteristic, complemented
7	D₅×#488	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613280	C₂	1	1	yes	maximal, characteristic, complemented
9	D₅×#485	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613064	C₂	1	1	yes	maximal, characteristic, complemented
11	D₅×#481	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612924	C₂	1	1	yes	maximal, characteristic, complemented
13	D₅×#478	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612655	C₂	1	1	yes	maximal, characteristic, complemented
15	D₅×#470	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612558	C₂	1	1	yes	maximal, characteristic, complemented
17	D₅×#468	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612352	C₂	1	1	yes	maximal, characteristic, complemented
19	D₅×#464	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611989	C₂	1	1	yes	maximal, characteristic, complemented
21	D₅×#452	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611895	C₂	1	1	yes	maximal, characteristic, complemented
23	D₅×#450	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611413	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×D₅×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611285	C₂	1	1	yes	maximal, characteristic, complemented
27	D₅×#436	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610670	C₂	1	1	yes	maximal, characteristic, complemented
29	D₅×#418	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610634	C₂	1	1	yes	maximal, characteristic, complemented
31	D₅×#417	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×#552	C₂²	1	1	yes	characteristic, complemented
35	C₅×#546	C₂²	1	1	yes	characteristic
36	#66163	C₂²	1	1	yes	characteristic
37	#66140	C₂²	1	1	yes	characteristic
38	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
39	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
40	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
41	C₂×D₅×M₁₆	C₂²	1	1	yes	characteristic
42	C₂×D₅×M₁₆	C₂²	1	1	yes	characteristic, complemented
43	#66042	—	2	1	no	—
44	D₅×#126	—	2	1	no	—
45	#66028	C₂²	1	1	yes	characteristic, complemented
46	#66027	—	2	1	no	—
47	D₅×#125	—	2	1	no	—
48	D₅×#125	C₂²	1	1	yes	characteristic, complemented
49	#66010	C₂²	1	1	yes	characteristic
50	D₅×#124	C₂²	1	1	yes	characteristic
51	#65988	—	2	1	no	—
52	D₅×#123	—	2	1	no	—
53	D₅×#123	—	2	1	no	—
54	#65984	—	2	1	no	—
55	#65976	C₂²	1	1	yes	characteristic, complemented
56	#65973	C₂²	1	1	yes	characteristic, complemented
57	#65964	C₂²	1	1	yes	characteristic
58	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
59	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
60	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
61	#65946	C₂²	1	1	yes	characteristic
62	#65944	—	2	1	no	—
63	D₅×#121	—	2	1	no	—
64	D₅×#121	C₂²	1	1	yes	characteristic
65	#65925	—	2	1	no	—
66	D₅×#120	—	2	1	no	—
67	#65915	C₂²	1	1	yes	characteristic, complemented
68	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic, complemented
69	#65888	C₂²	1	1	yes	characteristic
70	#65884	C₂²	1	1	yes	characteristic
71	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
72	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
73	#65875	C₂²	1	1	yes	characteristic, complemented
74	#65865	—	2	1	no	—
75	#65863	C₂²	1	1	yes	characteristic, complemented
76	D₅×#117	—	2	1	no	—
77	D₅×#117	C₂²	1	1	yes	characteristic
78	#65847	C₂²	1	1	yes	characteristic, complemented
79	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
80	#65824	—	2	1	no	—
81	C₂×D₅×C₂²⋊C₄	—	2	1	no	—
82	C₅×#488	C₂²	1	1	yes	characteristic, complemented
83	C₅×#485	C₂²	1	1	yes	characteristic, complemented
84	C₅×#481	C₂²	1	1	yes	characteristic, complemented
85	C₅×#478	C₂²	1	1	yes	characteristic, complemented
86	C₅×#470	C₂²	1	1	yes	characteristic, complemented
87	C₅×#468	C₂²	1	1	yes	characteristic, complemented
88	C₅×#464	C₂²	1	1	yes	characteristic, complemented
89	C₅×#452	C₂²	1	1	yes	characteristic, complemented
90	C₅×#450	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
92	C₅×#436	C₂²	1	1	yes	characteristic, complemented
93	C₅×#418	C₂²	1	1	yes	characteristic, complemented
94	C₅×#417	C₂²	1	1	yes	characteristic, complemented
95	#65528	C₂²	1	1	yes	characteristic, complemented
96	#65521	C₂²	1	1	yes	characteristic, complemented
97	#65507	C₂²	1	1	yes	characteristic, complemented
98	#65504	C₂²	1	1	yes	characteristic, complemented
99	#65478	C₂²	1	1	yes	characteristic, complemented
100	#65476	C₂²	1	1	yes	characteristic, complemented
101	#65474	C₂²	1	1	yes	characteristic, complemented
102	#65463	C₂²	1	1	yes	characteristic, complemented
103	#65462	C₂²	1	1	yes	characteristic, complemented
104	#65458	C₂²	1	1	yes	characteristic, complemented
105	#65458	C₂²	1	1	yes	characteristic, complemented
106	#65455	C₂²	1	1	yes	characteristic, complemented
107	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
108	#65426	C₂²	1	1	yes	characteristic, complemented
109	#65423	C₂²	1	1	yes	characteristic, complemented
110	#65422	C₂²	1	1	yes	characteristic, complemented
111	#65420	C₂²	1	1	yes	characteristic, complemented
112	#65417	C₂²	1	1	yes	characteristic, complemented
113	#65417	C₂²	1	1	yes	characteristic, complemented
114	#65357	C₂²	1	1	yes	characteristic, complemented
115	#65355	C₂²	1	1	yes	characteristic, complemented
116	#65345	C₂²	1	1	yes	characteristic, complemented
117	#65343	C₂²	1	1	yes	characteristic, complemented
118	#65341	C₂²	1	1	yes	characteristic, complemented
119	#65341	C₂²	1	1	yes	characteristic, complemented
120	#65338	C₂²	1	1	yes	characteristic, complemented
121	#65336	C₂²	1	1	yes	characteristic, complemented
122	#65335	C₂²	1	1	yes	characteristic, complemented
123	#65334	C₂²	1	1	yes	characteristic, complemented
124	#65331	C₂²	1	1	yes	characteristic, complemented
125	#65323	C₂²	1	1	yes	characteristic, complemented
126	#65317	C₂²	1	1	yes	characteristic, complemented
127	C₄×#688	C₂²	1	1	yes	characteristic, complemented
128	C₄×#687	C₂²	1	1	yes	characteristic, complemented
129	#65301	C₂²	1	1	yes	characteristic, complemented
130	#65298	C₂²	1	1	yes	characteristic, complemented
131	#65290	C₂²	1	1	yes	characteristic, complemented
132	#65285	C₂²	1	1	yes	characteristic, complemented
133	#65257	C₂²	1	1	yes	characteristic, complemented
134	#65255	C₂²	1	1	yes	characteristic, complemented
135	#65180	C₂²	1	1	yes	characteristic, complemented
136	#65177	C₂²	1	1	yes	characteristic, complemented
137	#65175	C₂²	1	1	yes	characteristic, complemented
138	D₅×#107	C₂²	1	1	yes	characteristic, complemented
139	#65160	C₂²	1	1	yes	characteristic, complemented
140	#65157	C₂²	1	1	yes	characteristic, complemented
141	#65156	C₂²	1	1	yes	characteristic, complemented
142	#65152	C₂²	1	1	yes	characteristic, complemented
143	#65152	C₂²	1	1	yes	characteristic, complemented
144	D₅×#106	C₂²	1	1	yes	characteristic, complemented
145	D₅×#106	C₂²	1	1	yes	characteristic, complemented
146	#65141	C₂²	1	1	yes	characteristic, complemented
147	#65136	C₂²	1	1	yes	characteristic, complemented
148	#65134	C₂²	1	1	yes	characteristic, complemented
149	#65127	C₂²	1	1	yes	characteristic, complemented
150	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
151	#65105	C₂²	1	1	yes	characteristic, complemented
152	#65105	C₂²	1	1	yes	characteristic, complemented
153	#65104	C₂²	1	1	yes	characteristic, complemented
154	#65103	C₂²	1	1	yes	characteristic, complemented
155	#65101	C₂²	1	1	yes	characteristic, complemented
156	#65099	C₂²	1	1	yes	characteristic, complemented
157	#65092	C₂²	1	1	yes	characteristic, complemented
158	#65092	C₂²	1	1	yes	characteristic, complemented
159	D₅×#103	C₂²	1	1	yes	characteristic, complemented
160	D₅×#103	C₂²	1	1	yes	characteristic, complemented
161	D₅×#103	C₂²	1	1	yes	characteristic, complemented
162	D₅×#103	C₂²	1	1	yes	characteristic, complemented
163	#65089	C₂²	1	1	yes	characteristic, complemented
164	#65089	C₂²	1	1	yes	characteristic, complemented
165	#65087	C₂²	1	1	yes	characteristic, complemented
166	#65077	C₂²	1	1	yes	characteristic, complemented
167	#65072	C₂²	1	1	yes	characteristic, complemented
168	#65069	C₂²	1	1	yes	characteristic, complemented
169	#65066	C₂²	1	1	yes	characteristic, complemented
170	#65066	C₂²	1	1	yes	characteristic, complemented
171	#65065	C₂²	1	1	yes	characteristic, complemented
172	#65065	C₂²	1	1	yes	characteristic, complemented
173	#65060	C₂²	1	1	yes	characteristic, complemented
174	#65060	C₂²	1	1	yes	characteristic, complemented
175	#65059	C₂²	1	1	yes	characteristic, complemented
176	#65059	C₂²	1	1	yes	characteristic, complemented
177	#65059	C₂²	1	1	yes	characteristic, complemented
178	#65059	C₂²	1	1	yes	characteristic, complemented
179	D₅×#102	C₂²	1	1	yes	characteristic
180	D₅×#102	C₂²	1	1	yes	characteristic
181	D₅×#102	C₂²	1	1	yes	characteristic
182	D₅×#102	C₂²	1	1	yes	characteristic
183	D₅×#102	C₂²	1	1	yes	characteristic
184	D₅×#102	C₂²	1	1	yes	characteristic
185	#65057	C₂²	1	1	yes	characteristic, complemented
186	#65057	C₂²	1	1	yes	characteristic, complemented
187	#65056	C₂²	1	1	yes	characteristic, complemented
188	#65055	C₂²	1	1	yes	characteristic, complemented
189	#65052	C₂²	1	1	yes	characteristic, complemented
190	#65047	C₂²	1	1	yes	characteristic, complemented
191	#65024	C₂²	1	1	yes	characteristic, complemented
192	#65022	C₂²	1	1	yes	characteristic, complemented
193	#65020	C₂²	1	1	yes	characteristic, complemented
194	#65018	C₂²	1	1	yes	characteristic, complemented
195	#65018	C₂²	1	1	yes	characteristic, complemented
196	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
197	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
198	#65012	C₂²	1	1	yes	characteristic, complemented
199	#64986	C₂²	1	1	yes	characteristic, complemented
200	C₄×#677	C₂²	1	1	yes	characteristic, complemented
201	#64977	C₂²	1	1	yes	characteristic, complemented
202	C₄×C₈×D₅	C₂²	1	1	yes	characteristic, complemented
203	C₂×#3323	—	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	—	2	4	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×D₄×D₅	—	2	4	no	—
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	—	4	2	no	—
221	C₂×D₄×D₅	D₄	1	1	yes	characteristic
222	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
223	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
224	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
225	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
226	C₂×#709	—	2	1	no	—
227	C₂×#709	C₂³	1	1	yes	characteristic
228	C₂²×D₂₀	C₂³	1	1	yes	characteristic
229	C₂²×C₄×D₅	—	2	1	no	—
230	C₂²×C₄×D₅	—	2	1	no	—
231	C₂²×C₄×D₅	—	2	1	no	—
232	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
233	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
234	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic, complemented
235	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic, complemented
239	C₅×#126	—	2	1	no	—
240	C₅×#125	—	2	1	no	—
241	C₅×#125	C₂³	1	1	yes	characteristic, complemented
242	C₅×#124	C₂³	1	1	yes	characteristic
243	C₅×#123	—	2	1	no	—
244	C₅×#123	—	2	1	no	—
245	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
246	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
247	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
248	C₅×#121	—	2	1	no	—
249	C₅×#121	C₂³	1	1	yes	characteristic
250	C₅×#120	—	2	1	no	—
251	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic, complemented
252	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
253	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
254	C₅×#117	—	2	1	no	—
255	C₅×#117	C₂³	1	1	yes	characteristic
256	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
257	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
258	#4099	—	2	1	no	—
259	C₂×C₂²⋊Dic₅	—	2	1	no	—
260	#4093	C₂³	1	1	yes	characteristic
261	#4092	C₂³	1	1	yes	characteristic
262	#4092	C₂³	1	1	yes	characteristic
263	#4092	C₂³	1	1	yes	characteristic, complemented
264	Q₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
265	C₂×#689	C₂³	1	1	yes	characteristic, complemented
266	C₂×#689	C₂³	1	1	yes	characteristic, complemented
267	C₂×#688	C₂³	1	1	yes	characteristic
268	C₂×#688	C₂³	1	1	yes	characteristic
269	#4085	—	2	1	no	—
270	#4085	—	2	1	no	—
271	#4085	—	2	1	no	—
272	#4084	—	2	1	no	—
273	#4084	C₂³	1	1	yes	characteristic
274	#4083	—	2	1	no	—
275	#4083	—	2	1	no	—
276	#4083	—	2	1	no	—
277	#4082	C₂³	1	1	yes	characteristic
278	#4081	—	2	1	no	—
279	#4081	—	2	1	no	—
280	D₄×Dic₅	D₄	1	1	yes	characteristic
281	D₄×Dic₅	C₂³	1	1	yes	characteristic
282	C₂×#687	C₂³	1	1	yes	characteristic
283	C₂×#687	C₂³	1	1	yes	characteristic
284	#4076	—	2	1	no	—
285	#4076	C₂³	1	1	yes	characteristic
286	#4075	—	2	1	no	—
287	#4075	—	2	1	no	—
288	C₄×C₂²⋊D₅	—	2	1	no	—
289	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
290	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
291	C₂×#685	—	2	1	no	—
292	C₂×#685	—	2	1	no	—
293	#4072	—	2	1	no	—
294	#4072	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic, complemented
296	#4070	C₂³	1	1	yes	characteristic
297	#4070	C₂³	1	1	yes	characteristic
298	#4070	C₂³	1	1	yes	characteristic, complemented
299	C₂×#683	—	2	1	no	—
300	C₂×#681	C₂³	1	1	yes	characteristic
301	C₂×#681	C₂³	1	1	yes	characteristic, complemented
302	D₅×Q₁₆	—	4	2	no	—
303	D₅×SD₁₆	—	2	4	no	—
304	D₅×SD₁₆	—	4	2	no	—
305	D₅×M₁₆	—	4	2	no	—
306	D₅×M₁₆	—	4	2	no	—
307	C₂×Dic₂₀	C₂³	1	1	yes	characteristic, complemented
308	C₂×#677	C₂³	1	1	yes	characteristic
309	C₂×#677	C₂³	1	1	yes	characteristic
310	C₂×#676	C₂³	1	1	yes	characteristic
311	C₂×#676	C₂³	1	1	yes	characteristic
312	C₂×#676	C₂³	1	1	yes	characteristic, complemented
313	C₂×#676	C₂³	1	1	yes	characteristic, complemented
314	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
315	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
316	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
317	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
318	#4044	—	2	1	no	—
319	#4044	—	2	1	no	—
320	#4044	—	2	1	no	—
321	#4043	C₂³	1	1	yes	characteristic
322	#4043	C₂³	1	1	yes	characteristic
323	#4043	C₂³	1	1	yes	characteristic, complemented
324	#4042	—	2	1	no	—
325	#4042	—	2	1	no	—
326	#4042	—	2	1	no	—
327	#4041	—	2	1	no	—
328	#4041	C₂³	1	1	yes	characteristic
329	#4040	—	2	1	no	—
330	#4040	—	2	1	no	—
331	#4040	—	2	1	no	—
332	#4040	—	2	1	no	—
333	#4039	D₄	1	1	yes	characteristic
334	#4039	C₂³	1	1	yes	characteristic
335	#4038	—	2	1	no	—
336	#4038	—	2	1	no	—
337	#4038	C₂³	1	1	yes	characteristic
338	#4038	C₂³	1	1	yes	characteristic
339	D₅×C₄⋊C₄	—	2	1	no	—
340	D₅×C₄⋊C₄	—	2	1	no	—
341	D₅×C₄⋊C₄	—	2	1	no	—
342	D₅×C₄⋊C₄	—	2	1	no	—
343	D₅×C₄⋊C₄	—	2	1	no	—
344	D₅×C₄⋊C₄	—	2	1	no	—
345	D₅×C₄⋊C₄	—	2	1	no	—
346	D₅×C₄⋊C₄	—	2	1	no	—
347	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
348	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
349	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
350	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
351	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
352	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
353	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
354	#4036	—	2	1	no	—
355	#4036	—	2	1	no	—
356	#4036	C₂³	1	1	yes	characteristic, complemented
357	#4036	C₂³	1	1	yes	characteristic, complemented
358	#4035	—	2	1	no	—
359	#4035	—	2	1	no	—
360	#4035	—	2	1	no	—
361	#4035	—	2	1	no	—
362	#4035	—	2	1	no	—
363	#4035	—	2	1	no	—
364	#4033	—	2	1	no	—
365	#4033	C₂³	1	1	yes	characteristic, complemented
366	#4032	—	2	1	no	—
367	#4032	—	2	1	no	—
368	#4031	—	2	1	no	—
369	#4031	—	2	1	no	—
370	#4030	—	2	1	no	—
371	#4030	—	2	1	no	—
372	#4030	—	2	1	no	—
373	#4029	—	2	1	no	—
374	#4029	—	2	1	no	—
375	#4029	—	2	1	no	—
376	#4029	—	2	1	no	—
377	#4028	—	2	1	no	—
378	#4028	—	2	1	no	—
379	#4028	—	2	1	no	—
380	#4027	—	2	1	no	—
381	#4027	D₄	1	1	yes	characteristic
382	#4027	D₄	1	1	yes	characteristic
383	D₅×C₂²⋊C₄	—	2	1	no	—
384	D₅×C₂²⋊C₄	—	2	1	no	—
385	D₅×C₂²⋊C₄	—	2	1	no	—
386	D₅×C₂²⋊C₄	—	2	1	no	—
387	D₅×C₂²⋊C₄	—	2	1	no	—
388	D₅×C₂²⋊C₄	—	2	1	no	—
389	D₅×C₂²⋊C₄	—	2	1	no	—
390	D₅×C₂²⋊C₄	—	2	1	no	—
391	D₅×C₂²⋊C₄	—	2	1	no	—
392	D₅×C₂²⋊C₄	—	2	1	no	—
393	D₅×C₂²⋊C₄	—	2	1	no	—
394	D₅×C₂²⋊C₄	—	2	1	no	—
395	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
396	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
397	#4025	—	2	1	no	—
398	#4025	—	2	1	no	—
399	#4025	—	2	1	no	—
400	#4024	—	2	1	no	—
401	#4024	—	2	1	no	—
402	#4024	—	2	1	no	—
403	#4023	—	2	1	no	—
404	#4023	—	2	1	no	—
405	#4023	—	2	1	no	—
406	#4022	—	2	1	no	—
407	#4021	C₂³	1	1	yes	characteristic
408	C₄×D₂₀	C₂³	1	1	yes	characteristic
409	C₄×D₂₀	C₂³	1	1	yes	characteristic
410	#4018	—	2	1	no	—
411	#4018	—	2	1	no	—
412	#4018	—	2	1	no	—
413	C₄²×D₅	—	2	1	no	—
414	C₄²×D₅	—	2	1	no	—
415	C₄²×D₅	C₂³	1	1	yes	characteristic
416	#4016	—	2	1	no	—
417	#4016	C₂³	1	1	yes	characteristic, complemented
418	C₄×Dic₁₀	—	2	1	no	—
419	C₄×Dic₁₀	C₂³	1	1	yes	characteristic, complemented
420	C₅×#107	C₂³	1	1	yes	characteristic, complemented
421	C₅×#106	C₂³	1	1	yes	characteristic, complemented
422	C₅×#106	C₂³	1	1	yes	characteristic, complemented
423	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
424	C₅×#103	C₂³	1	1	yes	characteristic, complemented
425	C₅×#103	C₂³	1	1	yes	characteristic, complemented
426	C₅×#103	C₂³	1	1	yes	characteristic, complemented
427	C₅×#103	C₂³	1	1	yes	characteristic, complemented
428	C₅×#102	C₂³	1	1	yes	characteristic
429	C₅×#102	C₂³	1	1	yes	characteristic
430	C₅×#102	C₂³	1	1	yes	characteristic
431	C₅×#102	C₂³	1	1	yes	characteristic
432	C₅×#102	C₂³	1	1	yes	characteristic
433	C₅×#102	C₂³	1	1	yes	characteristic
434	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
436	C₄×C₅×C₈	C₂³	1	1	yes	characteristic, complemented
437	#3967	C₂³	1	1	yes	characteristic, complemented
438	#3967	C₂³	1	1	yes	characteristic, complemented
439	#3967	C₂³	1	1	yes	characteristic, complemented
440	#3967	C₂³	1	1	yes	characteristic, complemented
441	#3964	C₂³	1	1	yes	characteristic
442	#3964	C₂³	1	1	yes	characteristic
443	#3964	C₂³	1	1	yes	characteristic
444	#3964	C₂³	1	1	yes	characteristic
445	#3964	C₂³	1	1	yes	characteristic
446	#3964	C₂³	1	1	yes	characteristic
447	C₂²⋊#168	C₂³	1	1	yes	characteristic
448	C₂²⋊#168	C₂³	1	1	yes	characteristic, complemented
449	#3953	C₂³	1	1	yes	characteristic
450	#3953	C₂³	1	1	yes	characteristic
451	#3953	C₂³	1	1	yes	characteristic
452	#3953	C₂³	1	1	yes	characteristic
453	#3953	C₂³	1	1	yes	characteristic
454	#3953	C₂³	1	1	yes	characteristic
455	#3952	C₂³	1	1	yes	characteristic
456	#3952	C₂³	1	1	yes	characteristic
457	#3952	C₂³	1	1	yes	characteristic, complemented
458	#3952	C₂³	1	1	yes	characteristic, complemented
459	#3950	C₂³	1	1	yes	characteristic, complemented
460	#3949	C₂³	1	1	yes	characteristic, complemented
461	#3949	C₂³	1	1	yes	characteristic, complemented
462	#3948	C₂³	1	1	yes	characteristic, complemented
463	#3948	C₂³	1	1	yes	characteristic, complemented
464	#3948	C₂³	1	1	yes	characteristic, complemented
465	#3948	C₂³	1	1	yes	characteristic, complemented
466	#3946	C₂³	1	1	yes	characteristic, complemented
467	#3946	C₂³	1	1	yes	characteristic, complemented
468	C₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
469	C₈×Dic₅	C₂³	1	1	yes	characteristic, complemented
470	#3942	C₂³	1	1	yes	characteristic, complemented
471	#3942	C₂³	1	1	yes	characteristic, complemented
472	#3942	C₂³	1	1	yes	characteristic, complemented
473	#3942	C₂³	1	1	yes	characteristic, complemented
474	#3941	C₂³	1	1	yes	characteristic
475	#3941	C₂³	1	1	yes	characteristic
476	#3941	C₂³	1	1	yes	characteristic
477	#3941	C₂³	1	1	yes	characteristic
478	#3941	C₂³	1	1	yes	characteristic
479	#3941	C₂³	1	1	yes	characteristic
480	#3940	C₂³	1	1	yes	characteristic, complemented
481	#3940	C₂³	1	1	yes	characteristic, complemented
482	#3940	C₂³	1	1	yes	characteristic, complemented
483	#3940	C₂³	1	1	yes	characteristic, complemented
484	#3939	C₂³	1	1	yes	characteristic, complemented
485	#3939	C₂³	1	1	yes	characteristic, complemented
486	C₄⋊#168	C₂³	1	1	yes	characteristic, complemented
487	C₄×#168	C₂³	1	1	yes	characteristic, complemented
488	C₂×#552	—	5	1	no	—
489	C₂×#546	—	5	1	no	—
490	#3323	—	5	1	no	—
491	#3323	—	5	1	no	—
492	#3323	—	5	1	no	—
493	#3323	—	5	1	no	—
494	#3323	—	5	1	no	—
495	#3323	—	5	1	no	—
496	#3323	—	5	1	no	—
497	#3323	—	5	1	no	—
498	#3323	—	5	1	no	—
499	#3323	—	5	1	no	—
500	#3323	—	5	1	no	—
501	#3323	—	5	1	no	—
502	#3323	—	5	1	no	—
503	#3323	—	5	1	no	—
504	#3323	—	5	1	no	—
505	#3323	D₅	1	1	yes	characteristic, direct product factor
506	C₂×#488	—	5	1	no	—
507	C₂×#481	—	5	1	no	—
508	C₂×#485	—	5	1	no	—
509	C₂×#478	—	5	1	no	—
510	C₂×#470	—	5	1	no	—
511	C₂×#468	—	5	1	no	—
512	C₂×#464	—	5	1	no	—
513	C₂×#452	—	5	1	no	—
514	C₂×#450	—	5	1	no	—
515	C₂×C₄×SD₁₆	—	5	1	no	—
516	C₂×#436	—	5	1	no	—
517	C₂×#417	—	5	1	no	—
518	C₂×#418	—	5	1	no	—
519	C₂⁴×C₅	—	2	1	no	—
520	C₂³×D₅	—	2	1	no	—
521	C₂³×D₅	—	2	1	no	—
522	C₂³×D₅	—	2	1	no	—
523	C₂³×D₅	—	2	1	no	—
524	C₂³×D₅	—	2	1	no	—
525	C₂³×D₅	—	4	4	no	—
526	C₂³×D₅	—	4	4	no	—
527	C₂³×D₅	—	8	2	no	—
528	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
529	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
530	C₅×#41	—	2	2	no	—
531	C₅×#41	—	4	1	no	—
532	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
533	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
534	C₂×C₅×D₄	—	2	2	no	—
535	C₂×C₅×D₄	—	2	1	no	—
536	C₂×C₅×D₄	—	2	1	no	—
537	C₂×C₅×D₄	—	2	1	no	—
538	C₂×C₅×D₄	—	4	1	no	—
539	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
540	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
541	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
542	C₂²×C₄×C₅	—	2	1	no	—
543	C₂²×C₄×C₅	—	2	1	no	—
544	C₂²×C₄×C₅	—	2	1	no	—
545	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
547	C₂×C₂²⋊D₅	—	2	1	no	—
548	C₂×C₂²⋊D₅	—	2	1	no	—
549	C₂×C₂²⋊D₅	—	2	1	no	—
550	C₂×C₂²⋊D₅	—	2	1	no	—
551	C₂×C₂²⋊D₅	—	2	1	no	—
552	C₂×C₂²⋊D₅	—	2	1	no	—
553	C₂×C₂²⋊D₅	—	2	1	no	—
554	C₂×C₂²⋊D₅	—	2	1	no	—
555	C₂×C₂²⋊D₅	—	4	4	no	—
556	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
557	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
558	C₂²×Dic₅	—	2	1	no	—
559	C₂²×Dic₅	—	2	1	no	—
560	C₂²×Dic₅	—	2	1	no	—
561	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
562	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
563	#713	—	2	2	no	—
564	#713	—	4	1	no	—
565	Q₈×D₅	—	2	2	no	—
566	Q₈×D₅	—	2	2	no	—
567	Q₈×D₅	—	2	2	no	—
568	Q₈×D₅	—	2	2	no	—
569	#711	—	2	2	no	—
570	#711	—	4	1	no	—
571	#711	—	4	4	no	—
572	D₄×D₅	—	2	2	no	—
573	D₄×D₅	—	2	2	no	—
574	D₄×D₅	—	2	2	no	—
575	D₄×D₅	—	2	2	no	—
576	D₄×D₅	—	2	2	no	—
577	D₄×D₅	—	4	1	no	—
578	D₄×D₅	—	4	1	no	—
579	D₄×D₅	—	4	4	no	—
580	D₄×D₅	—	4	2	no	—
581	D₄×D₅	—	4	4	no	—
582	D₄×D₅	—	4	4	no	—
583	D₄×D₅	—	8	2	no	—
584	D₄×D₅	#41	1	4	yes	—
585	#709	—	2	2	no	—
586	#709	—	4	1	no	—
587	#709	—	4	4	no	—
588	C₂×D₂₀	—	2	2	no	—
589	C₂×D₂₀	—	2	1	no	—
590	C₂×D₂₀	—	2	1	no	—
591	C₂×D₂₀	—	2	1	no	—
592	C₂×D₂₀	—	4	1	no	—
593	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
594	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
595	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
596	C₂×C₄×D₅	—	2	2	no	—
597	C₂×C₄×D₅	—	2	2	no	—
598	C₂×C₄×D₅	—	2	2	no	—
599	C₂×C₄×D₅	—	2	2	no	—
600	C₂×C₄×D₅	—	2	1	no	—
601	C₂×C₄×D₅	—	2	1	no	—
602	C₂×C₄×D₅	—	2	1	no	—
603	C₂×C₄×D₅	—	2	1	no	—
604	C₂×C₄×D₅	—	2	1	no	—
605	C₂×C₄×D₅	—	2	1	no	—
606	C₂×C₄×D₅	—	2	1	no	—
607	C₂×C₄×D₅	—	2	1	no	—
608	C₂×C₄×D₅	—	2	1	no	—
609	C₂×C₄×D₅	—	2	1	no	—
610	C₂×C₄×D₅	—	2	1	no	—
611	C₂×C₄×D₅	—	2	1	no	—
612	C₂×C₄×D₅	—	4	4	no	—
613	C₂×C₄×D₅	—	4	4	no	—
614	C₂×C₄×D₅	—	8	2	no	—
615	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
616	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
617	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
618	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
619	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
620	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
621	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
622	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
623	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
624	C₂×Dic₁₀	—	2	1	no	—
625	C₂×Dic₁₀	—	2	1	no	—
626	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
627	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
628	C₅×Q₁₆	—	4	1	no	—
629	C₅×SD₁₆	—	2	2	no	—
630	C₅×SD₁₆	—	4	1	no	—
631	C₅×M₁₆	—	4	1	no	—
632	C₅×M₁₆	—	4	1	no	—
633	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
634	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
635	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
636	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
637	C₅×C₄⋊C₄	—	2	1	no	—
638	C₅×C₄⋊C₄	—	2	1	no	—
639	C₅×C₄⋊C₄	—	2	1	no	—
640	C₅×C₄⋊C₄	—	2	1	no	—
641	C₅×C₄⋊C₄	—	2	1	no	—
642	C₅×C₄⋊C₄	—	2	1	no	—
643	C₅×C₄⋊C₄	—	2	1	no	—
644	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
645	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
646	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
647	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
648	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
649	C₅×C₂²⋊C₄	—	2	1	no	—
650	C₅×C₂²⋊C₄	—	2	1	no	—
651	C₅×C₂²⋊C₄	—	2	1	no	—
652	C₅×C₂²⋊C₄	—	2	1	no	—
653	C₅×C₂²⋊C₄	—	2	1	no	—
654	C₅×C₂²⋊C₄	—	2	1	no	—
655	C₅×C₂²⋊C₄	—	2	1	no	—
656	C₅×C₂²⋊C₄	—	2	1	no	—
657	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
658	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
659	C₄²×C₅	—	2	1	no	—
660	C₄²×C₅	—	2	1	no	—
661	C₄²×C₅	C₂⁴	1	1	yes	characteristic
662	C₂²⋊Dic₅	—	2	1	no	—
663	C₂²⋊Dic₅	—	2	1	no	—
664	C₂²⋊Dic₅	—	2	1	no	—
665	C₂²⋊Dic₅	—	2	1	no	—
666	C₂²⋊Dic₅	—	2	1	no	—
667	C₂²⋊Dic₅	—	2	1	no	—
668	C₂²⋊Dic₅	—	2	1	no	—
669	C₂²⋊Dic₅	—	2	1	no	—
670	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
671	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
672	#689	—	4	1	no	—
673	#689	—	4	1	no	—
674	#688	—	2	2	no	—
675	#688	—	4	1	no	—
676	#687	—	2	2	no	—
677	#687	—	4	1	no	—
678	#685	—	2	1	no	—
679	#685	—	2	1	no	—
680	#685	—	2	1	no	—
681	#685	—	2	1	no	—
682	#685	—	2	1	no	—
683	#685	—	2	1	no	—
684	#685	—	2	1	no	—
685	#685	—	2	1	no	—
686	#685	—	2	1	no	—
687	#685	—	2	1	no	—
688	#685	—	2	1	no	—
689	#685	—	2	1	no	—
690	#685	—	2	1	no	—
691	#685	—	2	1	no	—
692	#685	—	2	1	no	—
693	#685	—	2	1	no	—
694	#685	C₂×D₄	1	1	yes	characteristic
695	#685	C₂×D₄	1	1	yes	characteristic
696	#685	C₂×D₄	1	1	yes	characteristic
697	#685	C₂×D₄	1	1	yes	characteristic
698	C₄⋊Dic₅	—	2	1	no	—
699	C₄⋊Dic₅	—	2	1	no	—
700	C₄⋊Dic₅	—	2	1	no	—
701	C₄⋊Dic₅	—	2	1	no	—
702	C₄⋊Dic₅	—	2	1	no	—
703	C₄⋊Dic₅	—	2	1	no	—
704	C₄⋊Dic₅	—	2	1	no	—
705	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
706	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
707	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
708	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
709	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
710	#683	—	2	1	no	—
711	#683	—	2	1	no	—
712	#683	—	2	1	no	—
713	#683	—	2	1	no	—
714	#683	—	2	1	no	—
715	#683	—	2	1	no	—
716	#683	—	2	1	no	—
717	#683	—	2	1	no	—
718	#683	—	2	1	no	—
719	#683	—	2	1	no	—
720	#683	—	2	1	no	—
721	#683	—	2	1	no	—
722	#683	—	2	1	no	—
723	#683	—	2	1	no	—
724	#683	—	2	1	no	—
725	#683	—	2	1	no	—
726	#683	—	2	1	no	—
727	#683	—	2	1	no	—
728	#683	C₂×D₄	1	1	yes	characteristic
729	#683	C₂×D₄	1	1	yes	characteristic
730	C₄×Dic₅	—	2	1	no	—
731	C₄×Dic₅	—	2	1	no	—
732	C₄×Dic₅	—	2	1	no	—
733	C₄×Dic₅	—	2	1	no	—
734	C₄×Dic₅	—	2	1	no	—
735	C₄×Dic₅	—	2	1	no	—
736	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
737	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
738	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
739	#681	—	4	1	no	—
740	#681	—	4	1	no	—
741	C₂×#168	C₂⁴	1	1	yes	characteristic
742	C₂×#168	C₂⁴	1	1	yes	characteristic
743	C₂×#168	C₂⁴	1	1	yes	characteristic
744	C₂×#168	C₂⁴	1	1	yes	characteristic
745	Dic₂₀	—	4	1	no	—
746	#677	—	2	2	no	—
747	#677	—	4	1	no	—
748	#676	—	4	1	no	—
749	#676	—	4	1	no	—
750	#676	—	4	1	no	—
751	#676	—	4	1	no	—
752	C₈×D₅	—	2	2	no	—
753	C₈×D₅	—	2	2	no	—
754	C₈×D₅	—	2	2	no	—
755	C₈×D₅	—	2	2	no	—
756	C₂²×#41	—	5	1	no	—
757	C₂³×D₄	—	5	1	no	—
758	C₂²×Q₁₆	—	5	1	no	—
759	C₂²×SD₁₆	—	5	1	no	—
760	C₂²×SD₁₆	—	5	1	no	—
761	C₂²×M₁₆	—	5	1	no	—
762	C₂²×M₁₆	—	5	1	no	—
763	#552	—	5	1	no	—
764	#552	—	5	1	no	—
765	#552	—	5	1	no	—
766	#552	—	5	1	no	—
767	#552	—	5	1	no	—
768	#552	—	5	1	no	—
769	#552	—	5	1	no	—
770	#552	—	10	1	no	—
771	#552	—	10	1	no	—
772	#552	—	10	1	no	—
773	#552	—	10	1	no	—
774	#552	C₂×D₅	1	1	yes	characteristic, complemented
775	#546	—	5	1	no	—
776	#546	—	5	1	no	—
777	#546	—	5	1	no	—
778	#546	—	5	1	no	—
779	#546	—	5	1	no	—
780	#546	—	5	1	no	—
781	#546	—	5	1	no	—
782	#546	—	10	1	no	—
783	#546	—	10	1	no	—
784	#546	—	10	1	no	—
785	#546	—	10	1	no	—
786	#546	C₂×D₅	1	1	yes	characteristic
787	C₂×#126	—	10	1	no	—
788	C₂×#125	—	5	1	no	—
789	C₂×#125	—	10	1	no	—
790	C₂×#124	—	5	1	no	—
791	C₂×#123	—	10	1	no	—
792	C₂×#123	—	10	1	no	—
793	C₂×C₂²⋊Q₈	—	5	1	no	—
794	C₂×C₂²⋊Q₈	—	5	1	no	—
795	C₂×C₂²⋊Q₈	—	5	1	no	—
796	C₂×#121	—	5	1	no	—
797	C₂×#121	—	10	1	no	—
798	C₂×#120	—	10	1	no	—
799	C₂×C₄×Q₈	—	5	1	no	—
800	C₂×C₄×D₄	—	5	1	no	—
801	C₂×C₄×D₄	—	5	1	no	—
802	C₂×#117	—	5	1	no	—
803	C₂×#117	—	10	1	no	—
804	C₂²×C₄⋊C₄	—	5	1	no	—
805	C₂²×C₂²⋊C₄	—	10	1	no	—
806	#488	—	5	1	no	—
807	#488	—	5	1	no	—
808	#488	—	5	1	no	—
809	#488	—	5	1	no	—
810	#488	—	5	1	no	—
811	#488	—	5	1	no	—
812	#488	—	5	1	no	—
813	#488	C₂×D₅	1	1	yes	characteristic, complemented
814	#485	—	5	1	no	—
815	#485	—	5	1	no	—
816	#485	—	5	1	no	—
817	#485	—	5	1	no	—
818	#485	—	5	1	no	—
819	#485	—	5	1	no	—
820	#485	—	5	1	no	—
821	#485	C₂×D₅	1	1	yes	characteristic, complemented
822	#481	—	5	1	no	—
823	#481	—	5	1	no	—
824	#481	—	5	1	no	—
825	#481	—	5	1	no	—
826	#481	—	5	1	no	—
827	#481	—	5	1	no	—
828	#481	—	5	1	no	—
829	#481	C₂×D₅	1	1	yes	characteristic, complemented
830	#478	—	5	1	no	—
831	#478	—	5	1	no	—
832	#478	—	5	1	no	—
833	#478	—	5	1	no	—
834	#478	—	5	1	no	—
835	#478	—	5	1	no	—
836	#478	—	5	1	no	—
837	#478	C₂×D₅	1	1	yes	characteristic, complemented
838	#470	—	5	1	no	—
839	#470	—	5	1	no	—
840	#470	—	5	1	no	—
841	#470	—	5	1	no	—
842	#470	—	5	1	no	—
843	#470	—	5	1	no	—
844	#470	—	5	1	no	—
845	#470	C₂×D₅	1	1	yes	characteristic, complemented
846	#468	—	5	1	no	—
847	#468	—	5	1	no	—
848	#468	—	5	1	no	—
849	#468	—	5	1	no	—
850	#468	—	5	1	no	—
851	#468	—	5	1	no	—
852	#468	—	5	1	no	—
853	#468	C₂×D₅	1	1	yes	characteristic, complemented
854	#464	—	5	1	no	—
855	#464	—	5	1	no	—
856	#464	—	5	1	no	—
857	#464	—	5	1	no	—
858	#464	—	5	1	no	—
859	#464	—	5	1	no	—
860	#464	—	5	1	no	—
861	#464	C₂×D₅	1	1	yes	characteristic, complemented
862	#452	—	5	1	no	—
863	#452	—	5	1	no	—
864	#452	—	5	1	no	—
865	#452	—	5	1	no	—
866	#452	—	5	1	no	—
867	#452	—	5	1	no	—
868	#452	—	5	1	no	—
869	#452	C₂×D₅	1	1	yes	characteristic, complemented
870	#450	—	5	1	no	—
871	#450	—	5	1	no	—
872	#450	—	5	1	no	—
873	#450	—	5	1	no	—
874	#450	—	5	1	no	—
875	#450	—	5	1	no	—
876	#450	—	5	1	no	—
877	#450	C₂×D₅	1	1	yes	characteristic, complemented
878	C₄×SD₁₆	—	5	1	no	—
879	C₄×SD₁₆	—	5	1	no	—
880	C₄×SD₁₆	—	5	1	no	—
881	C₄×SD₁₆	—	5	1	no	—
882	C₄×SD₁₆	—	5	1	no	—
883	C₄×SD₁₆	—	5	1	no	—
884	C₄×SD₁₆	—	5	1	no	—
885	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
886	#436	—	5	1	no	—
887	#436	—	5	1	no	—
888	#436	—	5	1	no	—
889	#436	—	5	1	no	—
890	#436	—	5	1	no	—
891	#436	—	5	1	no	—
892	#436	—	5	1	no	—
893	#436	C₂×D₅	1	1	yes	characteristic, complemented
894	C₂×#107	—	5	1	no	—
895	C₂×#106	—	5	1	no	—
896	C₂×#106	—	5	1	no	—
897	C₂×C₄⋊C₈	—	5	1	no	—
898	#418	—	5	1	no	—
899	#418	—	5	1	no	—
900	#418	—	5	1	no	—
901	#418	—	5	1	no	—
902	#418	—	5	1	no	—
903	#418	—	5	1	no	—
904	#418	—	5	1	no	—
905	#418	C₂×D₅	1	1	yes	characteristic, complemented
906	#417	—	5	1	no	—
907	#417	—	5	1	no	—
908	#417	—	5	1	no	—
909	#417	—	5	1	no	—
910	#417	—	5	1	no	—
911	#417	—	5	1	no	—
912	#417	—	5	1	no	—
913	#417	C₂×D₅	1	1	yes	characteristic, complemented
914	C₂×#103	—	5	1	no	—
915	C₂×#103	—	5	1	no	—
916	C₂×#103	—	5	1	no	—
917	C₂×#103	—	5	1	no	—
918	C₂×#102	—	5	1	no	—
919	C₂×#102	—	5	1	no	—
920	C₂×#102	—	5	1	no	—
921	C₂×#102	—	5	1	no	—
922	C₂×#102	—	5	1	no	—
923	C₂×#102	—	5	1	no	—
924	C₂×C₂²⋊C₈	—	5	1	no	—
925	C₂×C₂²⋊C₈	—	5	1	no	—
926	C₂×C₄×C₈	—	5	1	no	—
927	C₂³×C₅	—	2	1	no	—
928	C₂³×C₅	—	2	1	no	—
929	C₂³×C₅	—	4	2	no	—
930	C₂³×C₅	—	4	2	no	—
931	C₂³×C₅	—	8	1	no	—
932	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
933	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
934	C₂²×D₅	—	2	1	no	—
935	C₂²×D₅	—	2	2	no	—
936	C₂²×D₅	—	2	2	no	—
937	C₂²×D₅	—	2	4	no	—
938	C₂²×D₅	—	2	2	no	—
939	C₂²×D₅	—	2	2	no	—
940	C₂²×D₅	—	2	2	no	—
941	C₂²×D₅	—	2	2	no	—
942	C₂²×D₅	—	2	1	no	—
943	C₂²×D₅	—	4	2	no	—
944	C₂²×D₅	—	4	2	no	—
945	C₂²×D₅	—	4	2	no	—
946	C₂²×D₅	—	4	2	no	—
947	C₂²×D₅	—	4	2	no	—
948	C₂²×D₅	—	4	2	no	—
949	C₂²×D₅	—	4	2	no	—
950	C₂²×D₅	—	4	2	no	—
951	C₂²×D₅	—	4	2	no	—
952	C₂²×D₅	—	4	2	no	—
953	C₂²×D₅	—	4	2	no	—
954	C₂²×D₅	—	8	1	no	—
955	C₂²×D₅	—	8	1	no	—
956	C₂²×D₅	—	8	1	no	—
957	C₂²×D₅	—	8	16	no	—
958	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
959	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
960	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
961	C₅×Q₈	—	2	1	no	—
962	C₅×Q₈	—	2	1	no	—
963	C₅×Q₈	—	2	1	no	—
964	C₅×Q₈	—	2	1	no	—
965	C₅×D₄	—	2	1	no	—
966	C₅×D₄	—	2	1	no	—
967	C₅×D₄	—	2	1	no	—
968	C₅×D₄	—	4	1	no	—
969	C₅×D₄	—	4	2	no	—
970	C₅×D₄	—	4	2	no	—
971	C₅×D₄	—	8	1	no	—
972	C₅×D₄	C₂×#41	1	2	yes	—
973	C₂×C₄×C₅	—	2	1	no	—
974	C₂×C₄×C₅	—	2	1	no	—
975	C₂×C₄×C₅	—	2	1	no	—
976	C₂×C₄×C₅	—	2	1	no	—
977	C₂×C₄×C₅	—	2	1	no	—
978	C₂×C₄×C₅	—	2	1	no	—
979	C₂×C₄×C₅	—	2	1	no	—
980	C₂×C₄×C₅	—	2	1	no	—
981	C₂×C₄×C₅	—	2	1	no	—
982	C₂×C₄×C₅	—	2	1	no	—
983	C₂×C₄×C₅	—	4	2	no	—
984	C₂×C₄×C₅	—	4	2	no	—
985	C₂×C₄×C₅	—	8	1	no	—
986	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
987	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
988	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
989	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
990	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
991	C₂²⋊D₅	—	2	4	no	—
992	C₂²⋊D₅	—	4	1	no	—
993	C₂²⋊D₅	—	4	1	no	—
994	C₂²⋊D₅	—	4	2	no	—
995	C₂²⋊D₅	—	4	2	no	—
996	C₂²⋊D₅	—	4	2	no	—
997	C₂²⋊D₅	—	4	2	no	—
998	C₂²⋊D₅	—	4	2	no	—
999	C₂²⋊D₅	—	8	1	no	—
1000	C₂²⋊D₅	—	8	1	no	—
1001	C₂×Dic₅	—	2	2	no	—
1002	C₂×Dic₅	—	2	2	no	—
1003	C₂×Dic₅	—	2	1	no	—
1004	C₂×Dic₅	—	2	1	no	—
1005	C₂×Dic₅	—	2	1	no	—
1006	C₂×Dic₅	—	2	1	no	—
1007	C₂×Dic₅	—	2	1	no	—
1008	C₂×Dic₅	—	2	1	no	—
1009	C₂×Dic₅	—	4	2	no	—
1010	C₂×Dic₅	—	4	2	no	—
1011	C₂×Dic₅	—	8	1	no	—
1012	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1013	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1014	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1015	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1016	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1017	D₂₀	—	2	1	no	—
1018	D₂₀	—	2	1	no	—
1019	D₂₀	—	2	1	no	—
1020	D₂₀	—	4	1	no	—
1021	D₂₀	—	4	2	no	—
1022	D₂₀	—	4	2	no	—
1023	D₂₀	—	8	1	no	—
1024	D₂₀	C₂×#41	1	2	yes	—
1025	C₄×D₅	—	2	2	no	—
1026	C₄×D₅	—	2	2	no	—
1027	C₄×D₅	—	2	2	no	—
1028	C₄×D₅	—	2	2	no	—
1029	C₄×D₅	—	2	1	no	—
1030	C₄×D₅	—	2	1	no	—
1031	C₄×D₅	—	2	1	no	—
1032	C₄×D₅	—	2	1	no	—
1033	C₄×D₅	—	2	2	no	—
1034	C₄×D₅	—	2	2	no	—
1035	C₄×D₅	—	4	2	no	—
1036	C₄×D₅	—	4	2	no	—
1037	C₄×D₅	—	4	2	no	—
1038	C₄×D₅	—	4	2	no	—
1039	C₄×D₅	—	4	2	no	—
1040	C₄×D₅	—	4	2	no	—
1041	C₄×D₅	—	4	2	no	—
1042	C₄×D₅	—	4	2	no	—
1043	C₄×D₅	—	4	2	no	—
1044	C₄×D₅	—	4	2	no	—
1045	C₄×D₅	—	8	1	no	—
1046	C₄×D₅	—	8	1	no	—
1047	C₄×D₅	C₂×#41	1	2	yes	—
1048	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1049	Dic₁₀	—	2	1	no	—
1050	Dic₁₀	—	2	1	no	—
1051	Dic₁₀	—	2	1	no	—
1052	Dic₁₀	—	2	1	no	—
1053	Dic₁₀	—	4	2	no	—
1054	Dic₁₀	—	4	2	no	—
1055	C₅×C₈	—	2	1	no	—
1056	C₅×C₈	—	2	1	no	—
1057	C₅×C₈	—	2	1	no	—
1058	C₅×C₈	—	2	1	no	—
1059	#168	—	2	1	no	—
1060	#168	—	2	1	no	—
1061	#168	—	2	1	no	—
1062	#168	—	2	1	no	—
1063	C₂⁵	—	10	1	no	—
1064	C₂×#41	—	5	1	no	—
1065	C₂×#41	—	5	1	no	—
1066	C₂×#41	—	5	1	no	—
1067	C₂×#41	—	10	1	no	—
1068	C₂×#41	—	10	1	no	—
1069	C₂×#41	—	10	4	no	—
1070	C₂×#41	—	20	2	no	—
1071	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1072	C₂²×Q₈	—	5	1	no	—
1073	C₂²×Q₈	—	5	1	no	—
1074	C₂²×D₄	—	5	1	no	—
1075	C₂²×D₄	—	5	1	no	—
1076	C₂²×D₄	—	5	1	no	—
1077	C₂²×D₄	—	5	1	no	—
1078	C₂²×D₄	—	5	1	no	—
1079	C₂²×D₄	—	5	1	no	—
1080	C₂²×D₄	—	10	1	no	—
1081	C₂²×D₄	—	10	1	no	—
1082	C₂²×D₄	—	10	1	no	—
1083	C₂²×D₄	—	10	4	no	—
1084	C₂²×D₄	—	10	1	no	—
1085	C₂²×D₄	—	10	1	no	—
1086	C₂²×D₄	—	20	2	no	—
1087	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1088	C₂³×C₄	—	5	1	no	—
1089	C₂³×C₄	—	5	1	no	—
1090	C₂³×C₄	—	10	1	no	—
1091	C₂³×C₄	—	10	1	no	—
1092	C₂³×C₄	—	10	1	no	—
1093	C₂×Q₁₆	—	5	1	no	—
1094	C₂×Q₁₆	—	5	1	no	—
1095	C₂×Q₁₆	—	5	1	no	—
1096	C₂×Q₁₆	—	20	2	no	—
1097	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1098	C₂×SD₁₆	—	5	1	no	—
1099	C₂×SD₁₆	—	5	1	no	—
1100	C₂×SD₁₆	—	5	1	no	—
1101	C₂×SD₁₆	—	5	1	no	—
1102	C₂×SD₁₆	—	5	1	no	—
1103	C₂×SD₁₆	—	5	1	no	—
1104	C₂×SD₁₆	—	10	4	no	—
1105	C₂×SD₁₆	—	20	2	no	—
1106	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1107	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1108	C₂×M₁₆	—	5	1	no	—
1109	C₂×M₁₆	—	5	1	no	—
1110	C₂×M₁₆	—	5	1	no	—
1111	C₂×M₁₆	—	5	1	no	—
1112	C₂×M₁₆	—	5	1	no	—
1113	C₂×M₁₆	—	5	1	no	—
1114	C₂×M₁₆	—	20	2	no	—
1115	C₂×M₁₆	—	20	2	no	—
1116	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1117	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic, complemented
1118	C₂²×C₈	—	5	1	no	—
1119	C₂²×C₈	—	5	1	no	—
1120	C₂²×C₈	—	5	1	no	—
1121	C₂²×C₈	—	5	1	no	—
1122	#126	—	2	1	no	—
1123	#126	—	10	1	no	—
1124	#126	—	10	1	no	—
1125	#126	—	10	1	no	—
1126	#126	—	10	1	no	—
1127	#126	—	10	1	no	—
1128	#126	—	10	1	no	—
1129	#126	—	10	1	no	—
1130	#125	—	2	1	no	—
1131	#125	—	5	1	no	—
1132	#125	—	5	1	no	—
1133	#125	—	5	1	no	—
1134	#125	—	10	1	no	—
1135	#125	—	10	1	no	—
1136	#125	—	10	1	no	—
1137	#125	—	10	1	no	—
1138	#125	—	10	1	no	—
1139	#125	—	10	1	no	—
1140	#125	—	10	1	no	—
1141	#125	—	10	1	no	—
1142	#125	—	10	1	no	—
1143	#125	C₂²×D₅	1	1	yes	characteristic, complemented
1144	#124	—	5	1	no	—
1145	#124	—	5	1	no	—
1146	#124	—	5	1	no	—
1147	#124	—	10	1	no	—
1148	#124	—	10	1	no	—
1149	#124	C₂²×D₅	1	1	yes	characteristic
1150	#123	—	2	1	no	—
1151	#123	—	2	1	no	—
1152	#123	—	10	1	no	—
1153	#123	—	10	1	no	—
1154	#123	—	10	1	no	—
1155	#123	—	10	1	no	—
1156	#123	—	10	1	no	—
1157	#123	—	10	1	no	—
1158	#123	—	10	1	no	—
1159	#123	—	10	1	no	—
1160	#123	—	10	1	no	—
1161	#123	—	10	1	no	—
1162	#123	—	10	1	no	—
1163	#123	—	10	1	no	—
1164	#123	—	10	1	no	—
1165	#123	—	10	1	no	—
1166	C₂²⋊Q₈	—	5	1	no	—
1167	C₂²⋊Q₈	—	5	1	no	—
1168	C₂²⋊Q₈	—	5	1	no	—
1169	C₂²⋊Q₈	—	5	1	no	—
1170	C₂²⋊Q₈	—	5	1	no	—
1171	C₂²⋊Q₈	—	5	1	no	—
1172	C₂²⋊Q₈	—	5	1	no	—
1173	C₂²⋊Q₈	—	5	1	no	—
1174	C₂²⋊Q₈	—	5	1	no	—
1175	C₂²⋊Q₈	—	10	1	no	—
1176	C₂²⋊Q₈	—	10	1	no	—
1177	C₂²⋊Q₈	—	10	1	no	—
1178	C₂²⋊Q₈	—	10	1	no	—
1179	C₂²⋊Q₈	—	10	1	no	—
1180	C₂²⋊Q₈	—	10	1	no	—
1181	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1182	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1183	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1184	#121	—	2	1	no	—
1185	#121	—	5	1	no	—
1186	#121	—	5	1	no	—
1187	#121	—	5	1	no	—
1188	#121	—	10	1	no	—
1189	#121	—	10	1	no	—
1190	#121	—	10	1	no	—
1191	#121	—	10	1	no	—
1192	#121	—	10	1	no	—
1193	#121	—	10	1	no	—
1194	#121	—	10	1	no	—
1195	#121	—	10	1	no	—
1196	#121	—	10	1	no	—
1197	#121	C₂²×D₅	1	1	yes	characteristic
1198	#120	—	2	1	no	—
1199	#120	—	10	1	no	—
1200	#120	—	10	1	no	—
1201	#120	—	10	1	no	—
1202	#120	—	10	1	no	—
1203	#120	—	10	1	no	—
1204	#120	—	10	1	no	—
1205	#120	—	10	1	no	—
1206	C₄×Q₈	—	5	1	no	—
1207	C₄×Q₈	—	5	1	no	—
1208	C₄×Q₈	—	5	1	no	—
1209	C₄×Q₈	—	10	1	no	—
1210	C₄×Q₈	—	10	1	no	—
1211	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic, complemented
1212	C₄×D₄	—	5	1	no	—
1213	C₄×D₄	—	5	1	no	—
1214	C₄×D₄	—	5	1	no	—
1215	C₄×D₄	—	5	1	no	—
1216	C₄×D₄	—	5	1	no	—
1217	C₄×D₄	—	5	1	no	—
1218	C₄×D₄	—	5	1	no	—
1219	C₄×D₄	—	5	1	no	—
1220	C₄×D₄	—	5	1	no	—
1221	C₄×D₄	—	5	1	no	—
1222	C₄×D₄	—	10	1	no	—
1223	C₄×D₄	—	10	1	no	—
1224	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1225	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1226	#117	—	2	1	no	—
1227	#117	—	5	1	no	—
1228	#117	—	5	1	no	—
1229	#117	—	5	1	no	—
1230	#117	—	10	1	no	—
1231	#117	—	10	1	no	—
1232	#117	—	10	1	no	—
1233	#117	—	10	1	no	—
1234	#117	—	10	1	no	—
1235	#117	—	10	1	no	—
1236	#117	—	10	1	no	—
1237	#117	—	10	1	no	—
1238	#117	—	10	1	no	—
1239	#117	C₂²×D₅	1	1	yes	characteristic
1240	C₂×C₄⋊C₄	—	5	1	no	—
1241	C₂×C₄⋊C₄	—	5	1	no	—
1242	C₂×C₄⋊C₄	—	5	1	no	—
1243	C₂×C₄⋊C₄	—	5	1	no	—
1244	C₂×C₄⋊C₄	—	5	1	no	—
1245	C₂×C₄⋊C₄	—	5	1	no	—
1246	C₂×C₄⋊C₄	—	5	1	no	—
1247	C₂×C₄⋊C₄	—	5	1	no	—
1248	C₂×C₄⋊C₄	—	10	1	no	—
1249	C₂×C₄⋊C₄	—	10	1	no	—
1250	C₂×C₄⋊C₄	—	10	1	no	—
1251	C₂×C₄⋊C₄	—	10	1	no	—
1252	C₂×C₄⋊C₄	—	10	1	no	—
1253	C₂×C₄⋊C₄	—	10	1	no	—
1254	C₂×C₄⋊C₄	—	10	1	no	—
1255	C₂×C₄⋊C₄	—	10	1	no	—
1256	C₂×C₄⋊C₄	—	10	1	no	—
1257	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic, complemented
1258	C₂×C₂²⋊C₄	—	2	1	no	—
1259	C₂×C₂²⋊C₄	—	5	1	no	—
1260	C₂×C₂²⋊C₄	—	5	1	no	—
1261	C₂×C₂²⋊C₄	—	10	1	no	—
1262	C₂×C₂²⋊C₄	—	10	1	no	—
1263	C₂×C₂²⋊C₄	—	10	1	no	—
1264	C₂×C₂²⋊C₄	—	10	1	no	—
1265	C₂×C₂²⋊C₄	—	10	1	no	—
1266	C₂×C₂²⋊C₄	—	10	1	no	—
1267	C₂×C₂²⋊C₄	—	10	1	no	—
1268	C₂×C₂²⋊C₄	—	10	1	no	—
1269	C₂×C₂²⋊C₄	—	10	1	no	—
1270	C₂×C₂²⋊C₄	—	10	1	no	—
1271	C₂×C₂²⋊C₄	—	10	1	no	—
1272	C₂×C₂²⋊C₄	—	10	1	no	—
1273	C₂×C₂²⋊C₄	—	10	1	no	—
1274	C₂×C₂²⋊C₄	—	10	1	no	—
1275	C₂×C₂²⋊C₄	—	10	1	no	—
1276	C₂×C₄²	—	5	1	no	—
1277	C₂×C₄²	—	10	1	no	—
1278	C₂×C₄²	—	10	1	no	—
1279	#107	—	5	1	no	—
1280	#107	—	5	1	no	—
1281	#107	—	5	1	no	—
1282	#107	C₂²×D₅	1	1	yes	characteristic, complemented
1283	#106	—	5	1	no	—
1284	#106	—	5	1	no	—
1285	#106	—	5	1	no	—
1286	#106	—	5	1	no	—
1287	#106	—	5	1	no	—
1288	#106	—	5	1	no	—
1289	#106	C₂²×D₅	1	1	yes	characteristic, complemented
1290	#106	C₂²×D₅	1	1	yes	characteristic, complemented
1291	C₄⋊C₈	—	5	1	no	—
1292	C₄⋊C₈	—	5	1	no	—
1293	C₄⋊C₈	—	5	1	no	—
1294	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1295	#103	—	5	1	no	—
1296	#103	—	5	1	no	—
1297	#103	—	5	1	no	—
1298	#103	—	5	1	no	—
1299	#103	—	5	1	no	—
1300	#103	—	5	1	no	—
1301	#103	—	5	1	no	—
1302	#103	—	5	1	no	—
1303	#103	—	5	1	no	—
1304	#103	—	5	1	no	—
1305	#103	—	5	1	no	—
1306	#103	—	5	1	no	—
1307	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1308	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1309	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1310	#103	C₂²×D₅	1	1	yes	characteristic, complemented
1311	#102	—	5	1	no	—
1312	#102	—	5	1	no	—
1313	#102	—	5	1	no	—
1314	#102	—	5	1	no	—
1315	#102	—	5	1	no	—
1316	#102	—	5	1	no	—
1317	#102	—	5	1	no	—
1318	#102	—	5	1	no	—
1319	#102	—	5	1	no	—
1320	#102	—	5	1	no	—
1321	#102	—	5	1	no	—
1322	#102	—	5	1	no	—
1323	#102	—	5	1	no	—
1324	#102	—	5	1	no	—
1325	#102	—	5	1	no	—
1326	#102	—	5	1	no	—
1327	#102	—	5	1	no	—
1328	#102	—	5	1	no	—
1329	#102	C₂²×D₅	1	1	yes	characteristic
1330	#102	C₂²×D₅	1	1	yes	characteristic
1331	#102	C₂²×D₅	1	1	yes	characteristic
1332	#102	C₂²×D₅	1	1	yes	characteristic
1333	#102	C₂²×D₅	1	1	yes	characteristic
1334	#102	C₂²×D₅	1	1	yes	characteristic
1335	C₂²⋊C₈	—	5	1	no	—
1336	C₂²⋊C₈	—	5	1	no	—
1337	C₂²⋊C₈	—	5	1	no	—
1338	C₂²⋊C₈	—	5	1	no	—
1339	C₂²⋊C₈	—	5	1	no	—
1340	C₂²⋊C₈	—	5	1	no	—
1341	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1342	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1343	C₄×C₈	—	5	1	no	—
1344	C₄×C₈	—	5	1	no	—
1345	C₄×C₈	—	5	1	no	—
1346	C₄×C₈	C₂²×D₅	1	1	yes	characteristic, complemented
1347	C₂²×C₅	—	2	1	no	—
1348	C₂²×C₅	—	2	1	no	—
1349	C₂²×C₅	—	2	2	no	—
1350	C₂²×C₅	—	2	1	no	—
1351	C₂²×C₅	—	2	1	no	—
1352	C₂²×C₅	—	2	1	no	—
1353	C₂²×C₅	—	2	1	no	—
1354	C₂²×C₅	—	4	1	no	—
1355	C₂²×C₅	—	4	1	no	—
1356	C₂²×C₅	—	4	1	no	—
1357	C₂²×C₅	—	4	1	no	—
1358	C₂²×C₅	—	4	1	no	—
1359	C₂²×C₅	—	8	4	no	—
1360	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1361	C₂×D₅	—	2	1	no	—
1362	C₂×D₅	—	2	1	no	—
1363	C₂×D₅	—	2	2	no	—
1364	C₂×D₅	—	2	1	no	—
1365	C₂×D₅	—	2	1	no	—
1366	C₂×D₅	—	2	1	no	—
1367	C₂×D₅	—	2	1	no	—
1368	C₂×D₅	—	4	1	no	—
1369	C₂×D₅	—	4	1	no	—
1370	C₂×D₅	—	4	4	no	—
1371	C₂×D₅	—	4	4	no	—
1372	C₂×D₅	—	4	8	no	—
1373	C₂×D₅	—	4	1	no	—
1374	C₂×D₅	—	4	1	no	—
1375	C₂×D₅	—	4	1	no	—
1376	C₂×D₅	—	8	4	no	—
1377	C₂×D₅	—	8	4	no	—
1378	C₂×D₅	—	8	4	no	—
1379	C₂×D₅	—	8	4	no	—
1380	C₂×D₅	#546	1	2	yes	—
1381	C₂×D₅	#575	1	2	yes	—
1382	C₂×D₅	#577	1	2	yes	—
1383	C₄×C₅	—	2	1	no	—
1384	C₄×C₅	—	2	1	no	—
1385	C₄×C₅	—	2	1	no	—
1386	C₄×C₅	—	2	1	no	—
1387	C₄×C₅	—	4	1	no	—
1388	C₄×C₅	—	4	1	no	—
1389	C₄×C₅	—	4	1	no	—
1390	C₄×C₅	—	4	1	no	—
1391	C₄×C₅	—	4	1	no	—
1392	C₄×C₅	—	4	1	no	—
1393	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1394	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1395	Dic₅	—	2	1	no	—
1396	Dic₅	—	2	1	no	—
1397	Dic₅	—	2	1	no	—
1398	Dic₅	—	2	1	no	—
1399	Dic₅	—	4	1	no	—
1400	Dic₅	—	4	1	no	—
1401	Dic₅	—	4	1	no	—
1402	Dic₅	—	4	1	no	—
1403	Dic₅	—	4	1	no	—
1404	Dic₅	—	4	1	no	—
1405	Dic₅	#546	1	2	yes	—
1406	C₂⁴	—	2	1	no	—
1407	C₂⁴	—	5	1	no	—
1408	C₂⁴	—	5	1	no	—
1409	C₂⁴	—	10	1	no	—
1410	C₂⁴	—	10	1	no	—
1411	C₂⁴	—	10	1	no	—
1412	C₂⁴	—	10	1	no	—
1413	C₂⁴	—	10	1	no	—
1414	C₂⁴	—	20	4	no	—
1415	C₂⁴	—	20	4	no	—
1416	C₂⁴	—	40	2	no	—
1417	#41	—	2	2	no	—
1418	#41	—	4	1	no	—
1419	#41	—	10	2	no	—
1420	#41	—	10	2	no	—
1421	#41	—	10	2	no	—
1422	#41	—	20	1	no	—
1423	#41	—	20	4	no	—
1424	#41	—	20	1	no	—
1425	#41	—	20	4	no	—
1426	#41	—	20	1	no	—
1427	C₂×Q₈	—	5	1	no	—
1428	C₂×Q₈	—	5	1	no	—
1429	C₂×Q₈	—	10	1	no	—
1430	C₂×Q₈	—	10	1	no	—
1431	C₂×Q₈	—	10	2	no	—
1432	C₂×Q₈	—	10	2	no	—
1433	C₂×Q₈	—	10	2	no	—
1434	C₂×Q₈	—	10	2	no	—
1435	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1436	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1437	C₂×D₄	—	2	2	no	—
1438	C₂×D₄	—	2	1	no	—
1439	C₂×D₄	—	2	1	no	—
1440	C₂×D₄	—	2	1	no	—
1441	C₂×D₄	—	4	1	no	—
1442	C₂×D₄	—	5	4	no	—
1443	C₂×D₄	—	5	1	no	—
1444	C₂×D₄	—	5	1	no	—
1445	C₂×D₄	—	5	1	no	—
1446	C₂×D₄	—	5	1	no	—
1447	C₂×D₄	—	5	1	no	—
1448	C₂×D₄	—	10	2	no	—
1449	C₂×D₄	—	10	1	no	—
1450	C₂×D₄	—	10	1	no	—
1451	C₂×D₄	—	10	2	no	—
1452	C₂×D₄	—	10	2	no	—
1453	C₂×D₄	—	10	2	no	—
1454	C₂×D₄	—	10	1	no	—
1455	C₂×D₄	—	10	1	no	—
1456	C₂×D₄	—	10	1	no	—
1457	C₂×D₄	—	10	1	no	—
1458	C₂×D₄	—	10	2	no	—
1459	C₂×D₄	—	10	2	no	—
1460	C₂×D₄	—	10	1	no	—
1461	C₂×D₄	—	10	1	no	—
1462	C₂×D₄	—	10	1	no	—
1463	C₂×D₄	—	10	1	no	—
1464	C₂×D₄	—	10	1	no	—
1465	C₂×D₄	—	20	1	no	—
1466	C₂×D₄	—	20	1	no	—
1467	C₂×D₄	—	20	1	no	—
1468	C₂×D₄	—	20	4	no	—
1469	C₂×D₄	—	20	2	no	—
1470	C₂×D₄	—	20	4	no	—
1471	C₂×D₄	—	20	4	no	—
1472	C₂×D₄	—	20	4	no	—
1473	C₂×D₄	—	40	2	no	—
1474	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1475	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1476	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1477	C₂²×C₄	—	2	1	no	—
1478	C₂²×C₄	—	2	1	no	—
1479	C₂²×C₄	—	2	1	no	—
1480	C₂²×C₄	—	5	1	no	—
1481	C₂²×C₄	—	5	1	no	—
1482	C₂²×C₄	—	5	1	no	—
1483	C₂²×C₄	—	5	1	no	—
1484	C₂²×C₄	—	5	1	no	—
1485	C₂²×C₄	—	5	1	no	—
1486	C₂²×C₄	—	5	1	no	—
1487	C₂²×C₄	—	5	1	no	—
1488	C₂²×C₄	—	5	1	no	—
1489	C₂²×C₄	—	5	1	no	—
1490	C₂²×C₄	—	5	1	no	—
1491	C₂²×C₄	—	10	2	no	—
1492	C₂²×C₄	—	10	2	no	—
1493	C₂²×C₄	—	10	2	no	—
1494	C₂²×C₄	—	10	2	no	—
1495	C₂²×C₄	—	10	1	no	—
1496	C₂²×C₄	—	10	1	no	—
1497	C₂²×C₄	—	10	1	no	—
1498	C₂²×C₄	—	10	1	no	—
1499	C₂²×C₄	—	10	1	no	—
1500	C₂²×C₄	—	10	1	no	—
1501	C₂²×C₄	—	10	1	no	—
1502	C₂²×C₄	—	10	1	no	—
1503	C₂²×C₄	—	10	1	no	—
1504	C₂²×C₄	—	10	1	no	—
1505	C₂²×C₄	—	10	1	no	—
1506	C₂²×C₄	—	10	1	no	—
1507	C₂²×C₄	—	10	1	no	—
1508	C₂²×C₄	—	10	1	no	—
1509	C₂²×C₄	—	10	1	no	—
1510	C₂²×C₄	—	20	4	no	—
1511	C₂²×C₄	—	20	4	no	—
1512	C₂²×C₄	—	40	2	no	—
1513	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1514	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1515	Q₁₆	—	4	1	no	—
1516	Q₁₆	—	20	1	no	—
1517	Q₁₆	—	20	1	no	—
1518	Q₁₆	—	20	1	no	—
1519	SD₁₆	—	2	2	no	—
1520	SD₁₆	—	4	1	no	—
1521	SD₁₆	—	10	2	no	—
1522	SD₁₆	—	10	2	no	—
1523	SD₁₆	—	10	2	no	—
1524	SD₁₆	—	20	1	no	—
1525	SD₁₆	—	20	1	no	—
1526	SD₁₆	—	20	1	no	—
1527	M₁₆	—	4	1	no	—
1528	M₁₆	—	4	1	no	—
1529	M₁₆	—	20	1	no	—
1530	M₁₆	—	20	1	no	—
1531	M₁₆	—	20	1	no	—
1532	M₁₆	—	20	1	no	—
1533	M₁₆	—	20	1	no	—
1534	M₁₆	—	20	1	no	—
1535	C₂×C₈	—	5	1	no	—
1536	C₂×C₈	—	5	1	no	—
1537	C₂×C₈	—	5	1	no	—
1538	C₂×C₈	—	5	1	no	—
1539	C₂×C₈	—	10	2	no	—
1540	C₂×C₈	—	10	2	no	—
1541	C₂×C₈	—	10	2	no	—
1542	C₂×C₈	—	10	2	no	—
1543	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1544	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1545	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1546	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1547	C₄⋊C₄	—	2	1	no	—
1548	C₄⋊C₄	—	2	1	no	—
1549	C₄⋊C₄	—	2	1	no	—
1550	C₄⋊C₄	—	2	1	no	—
1551	C₄⋊C₄	—	2	1	no	—
1552	C₄⋊C₄	—	2	1	no	—
1553	C₄⋊C₄	—	2	1	no	—
1554	C₄⋊C₄	—	5	1	no	—
1555	C₄⋊C₄	—	5	1	no	—
1556	C₄⋊C₄	—	5	1	no	—
1557	C₄⋊C₄	—	5	1	no	—
1558	C₄⋊C₄	—	5	1	no	—
1559	C₄⋊C₄	—	5	1	no	—
1560	C₄⋊C₄	—	5	1	no	—
1561	C₄⋊C₄	—	10	1	no	—
1562	C₄⋊C₄	—	10	1	no	—
1563	C₄⋊C₄	—	10	1	no	—
1564	C₄⋊C₄	—	10	1	no	—
1565	C₄⋊C₄	—	10	1	no	—
1566	C₄⋊C₄	—	10	1	no	—
1567	C₄⋊C₄	—	10	1	no	—
1568	C₄⋊C₄	—	10	1	no	—
1569	C₄⋊C₄	—	10	1	no	—
1570	C₄⋊C₄	—	10	1	no	—
1571	C₄⋊C₄	—	10	1	no	—
1572	C₄⋊C₄	—	10	1	no	—
1573	C₄⋊C₄	—	10	1	no	—
1574	C₄⋊C₄	—	10	1	no	—
1575	C₄⋊C₄	—	10	1	no	—
1576	C₄⋊C₄	—	10	1	no	—
1577	C₄⋊C₄	—	10	1	no	—
1578	C₄⋊C₄	—	10	1	no	—
1579	C₄⋊C₄	—	10	1	no	—
1580	C₄⋊C₄	—	10	1	no	—
1581	C₄⋊C₄	—	10	1	no	—
1582	C₄⋊C₄	—	10	1	no	—
1583	C₄⋊C₄	—	10	1	no	—
1584	C₄⋊C₄	—	10	1	no	—
1585	C₄⋊C₄	—	10	1	no	—
1586	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1587	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1588	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1589	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1590	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1591	C₂²⋊C₄	—	2	1	no	—
1592	C₂²⋊C₄	—	2	1	no	—
1593	C₂²⋊C₄	—	2	1	no	—
1594	C₂²⋊C₄	—	2	1	no	—
1595	C₂²⋊C₄	—	2	1	no	—
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	2	1	no	—
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	—	5	1	no	—
1600	C₂²⋊C₄	—	5	1	no	—
1601	C₂²⋊C₄	—	5	1	no	—
1602	C₂²⋊C₄	—	5	1	no	—
1603	C₂²⋊C₄	—	5	1	no	—
1604	C₂²⋊C₄	—	5	1	no	—
1605	C₂²⋊C₄	—	10	1	no	—
1606	C₂²⋊C₄	—	10	1	no	—
1607	C₂²⋊C₄	—	10	1	no	—
1608	C₂²⋊C₄	—	10	1	no	—
1609	C₂²⋊C₄	—	10	1	no	—
1610	C₂²⋊C₄	—	10	1	no	—
1611	C₂²⋊C₄	—	10	1	no	—
1612	C₂²⋊C₄	—	10	1	no	—
1613	C₂²⋊C₄	—	10	1	no	—
1614	C₂²⋊C₄	—	10	1	no	—
1615	C₂²⋊C₄	—	10	1	no	—
1616	C₂²⋊C₄	—	10	1	no	—
1617	C₂²⋊C₄	—	10	1	no	—
1618	C₂²⋊C₄	—	10	1	no	—
1619	C₂²⋊C₄	—	10	1	no	—
1620	C₂²⋊C₄	—	10	1	no	—
1621	C₂²⋊C₄	—	10	1	no	—
1622	C₂²⋊C₄	—	10	1	no	—
1623	C₂²⋊C₄	—	10	1	no	—
1624	C₂²⋊C₄	—	10	1	no	—
1625	C₂²⋊C₄	—	10	1	no	—
1626	C₂²⋊C₄	—	10	1	no	—
1627	C₂²⋊C₄	—	10	1	no	—
1628	C₂²⋊C₄	—	10	1	no	—
1629	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1630	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1631	C₄²	—	2	1	no	—
1632	C₄²	—	2	1	no	—
1633	C₄²	—	5	1	no	—
1634	C₄²	—	5	1	no	—
1635	C₄²	—	5	1	no	—
1636	C₄²	—	10	1	no	—
1637	C₄²	—	10	1	no	—
1638	C₄²	—	10	1	no	—
1639	C₄²	—	10	1	no	—
1640	C₄²	—	10	1	no	—
1641	C₄²	—	10	1	no	—
1642	C₄²	C₂³×D₅	1	1	yes	characteristic
1643	C₂×C₅	—	4	1	no	—
1644	C₂×C₅	—	4	2	no	—
1645	C₂×C₅	—	4	1	no	—
1646	C₂×C₅	—	8	1	no	—
1647	C₂×C₅	C₂×#546	1	1	yes	characteristic
1648	C₂×C₅	C₂×#575	1	1	yes	characteristic
1649	C₂×C₅	C₂×#577	1	1	yes	characteristic
1650	D₅	—	4	1	no	—
1651	D₅	—	4	1	no	—
1652	D₅	—	4	2	no	—
1653	D₅	—	8	1	no	—
1654	D₅	#3323	1	4	yes	direct product factor
1655	C₂³	—	2	1	no	—
1656	C₂³	—	2	1	no	—
1657	C₂³	—	4	2	no	—
1658	C₂³	—	4	2	no	—
1659	C₂³	—	5	1	no	—
1660	C₂³	—	5	1	no	—
1661	C₂³	—	5	1	no	—
1662	C₂³	—	8	1	no	—
1663	C₂³	—	10	2	no	—
1664	C₂³	—	10	2	no	—
1665	C₂³	—	10	2	no	—
1666	C₂³	—	10	4	no	—
1667	C₂³	—	10	2	no	—
1668	C₂³	—	10	2	no	—
1669	C₂³	—	10	2	no	—
1670	C₂³	—	10	1	no	—
1671	C₂³	—	10	1	no	—
1672	C₂³	—	20	2	no	—
1673	C₂³	—	20	2	no	—
1674	C₂³	—	20	2	no	—
1675	C₂³	—	20	2	no	—
1676	C₂³	—	20	2	no	—
1677	C₂³	—	20	2	no	—
1678	C₂³	—	20	2	no	—
1679	C₂³	—	20	2	no	—
1680	C₂³	—	20	2	no	—
1681	C₂³	—	20	2	no	—
1682	C₂³	—	20	2	no	—
1683	C₂³	—	40	1	no	—
1684	C₂³	—	40	1	no	—
1685	C₂³	—	40	1	no	—
1686	C₂³	—	40	16	no	—
1687	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1688	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1689	Q₈	—	2	1	no	—
1690	Q₈	—	2	1	no	—
1691	Q₈	—	2	1	no	—
1692	Q₈	—	2	1	no	—
1693	Q₈	—	10	1	no	—
1694	Q₈	—	10	1	no	—
1695	Q₈	—	10	1	no	—
1696	Q₈	—	10	1	no	—
1697	Q₈	—	20	2	no	—
1698	Q₈	—	20	2	no	—
1699	D₄	—	2	1	no	—
1700	D₄	—	2	1	no	—
1701	D₄	—	2	1	no	—
1702	D₄	—	4	1	no	—
1703	D₄	—	4	2	no	—
1704	D₄	—	4	2	no	—
1705	D₄	—	5	2	no	—
1706	D₄	—	8	1	no	—
1707	D₄	—	10	4	no	—
1708	D₄	—	10	1	no	—
1709	D₄	—	10	1	no	—
1710	D₄	—	10	1	no	—
1711	D₄	—	20	1	no	—
1712	D₄	—	20	2	no	—
1713	D₄	—	20	2	no	—
1714	D₄	—	20	2	no	—
1715	D₄	—	20	1	no	—
1716	D₄	—	20	1	no	—
1717	D₄	—	20	2	no	—
1718	D₄	—	20	2	no	—
1719	D₄	—	20	2	no	—
1720	D₄	—	20	2	no	—
1721	D₄	—	40	1	no	—
1722	D₄	—	40	1	no	—
1723	D₄	—	40	1	no	—
1724	D₄	D₅×#41	1	2	yes	—
1725	C₂×C₄	—	2	1	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	1	no	—
1733	C₂×C₄	—	2	1	no	—
1734	C₂×C₄	—	2	1	no	—
1735	C₂×C₄	—	4	2	no	—
1736	C₂×C₄	—	4	2	no	—
1737	C₂×C₄	—	5	1	no	—
1738	C₂×C₄	—	5	2	no	—
1739	C₂×C₄	—	5	2	no	—
1740	C₂×C₄	—	5	1	no	—
1741	C₂×C₄	—	5	1	no	—
1742	C₂×C₄	—	5	1	no	—
1743	C₂×C₄	—	5	1	no	—
1744	C₂×C₄	—	8	1	no	—
1745	C₂×C₄	—	10	2	no	—
1746	C₂×C₄	—	10	2	no	—
1747	C₂×C₄	—	10	2	no	—
1748	C₂×C₄	—	10	2	no	—
1749	C₂×C₄	—	10	2	no	—
1750	C₂×C₄	—	10	2	no	—
1751	C₂×C₄	—	10	2	no	—
1752	C₂×C₄	—	10	2	no	—
1753	C₂×C₄	—	10	1	no	—
1754	C₂×C₄	—	10	1	no	—
1755	C₂×C₄	—	10	1	no	—
1756	C₂×C₄	—	10	1	no	—
1757	C₂×C₄	—	10	1	no	—
1758	C₂×C₄	—	10	1	no	—
1759	C₂×C₄	—	10	1	no	—
1760	C₂×C₄	—	10	1	no	—
1761	C₂×C₄	—	10	1	no	—
1762	C₂×C₄	—	10	1	no	—
1763	C₂×C₄	—	20	2	no	—
1764	C₂×C₄	—	20	2	no	—
1765	C₂×C₄	—	20	2	no	—
1766	C₂×C₄	—	20	2	no	—
1767	C₂×C₄	—	20	2	no	—
1768	C₂×C₄	—	20	2	no	—
1769	C₂×C₄	—	20	2	no	—
1770	C₂×C₄	—	20	2	no	—
1771	C₂×C₄	—	20	2	no	—
1772	C₂×C₄	—	20	2	no	—
1773	C₂×C₄	—	20	2	no	—
1774	C₂×C₄	—	20	2	no	—
1775	C₂×C₄	—	40	1	no	—
1776	C₂×C₄	—	40	1	no	—
1777	C₂×C₄	—	40	1	no	—
1778	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1779	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1780	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1781	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1782	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1783	C₈	—	2	1	no	—
1784	C₈	—	2	1	no	—
1785	C₈	—	2	1	no	—
1786	C₈	—	2	1	no	—
1787	C₈	—	10	1	no	—
1788	C₈	—	10	1	no	—
1789	C₈	—	10	1	no	—
1790	C₈	—	10	1	no	—
1791	C₅	C₂×#3323	1	1	yes	characteristic, complemented, Sylow
1792	C₂²	—	2	1	no	—
1793	C₂²	—	2	1	no	—
1794	C₂²	—	2	2	no	—
1795	C₂²	—	2	1	no	—
1796	C₂²	—	2	1	no	—
1797	C₂²	—	2	1	no	—
1798	C₂²	—	2	1	no	—
1799	C₂²	—	4	1	no	—
1800	C₂²	—	4	1	no	—
1801	C₂²	—	4	1	no	—
1802	C₂²	—	4	1	no	—
1803	C₂²	—	4	1	no	—
1804	C₂²	—	5	2	no	—
1805	C₂²	—	5	2	no	—
1806	C₂²	—	5	2	no	—
1807	C₂²	—	8	4	no	—
1808	C₂²	—	10	1	no	—
1809	C₂²	—	10	1	no	—
1810	C₂²	—	10	2	no	—
1811	C₂²	—	10	1	no	—
1812	C₂²	—	10	1	no	—
1813	C₂²	—	10	1	no	—
1814	C₂²	—	10	1	no	—
1815	C₂²	—	20	4	no	—
1816	C₂²	—	20	4	no	—
1817	C₂²	—	20	8	no	—
1818	C₂²	—	20	1	no	—
1819	C₂²	—	20	1	no	—
1820	C₂²	—	20	1	no	—
1821	C₂²	—	20	1	no	—
1822	C₂²	—	20	1	no	—
1823	C₂²	—	40	4	no	—
1824	C₂²	—	40	4	no	—
1825	C₂²	—	40	4	no	—
1826	C₂²	—	40	4	no	—
1827	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1828	C₄	—	2	1	no	—
1829	C₄	—	2	1	no	—
1830	C₄	—	2	1	no	—
1831	C₄	—	2	1	no	—
1832	C₄	—	4	1	no	—
1833	C₄	—	4	1	no	—
1834	C₄	—	4	1	no	—
1835	C₄	—	4	1	no	—
1836	C₄	—	4	1	no	—
1837	C₄	—	4	1	no	—
1838	C₄	—	5	2	no	—
1839	C₄	—	10	1	no	—
1840	C₄	—	10	1	no	—
1841	C₄	—	10	1	no	—
1842	C₄	—	10	1	no	—
1843	C₄	—	20	1	no	—
1844	C₄	—	20	1	no	—
1845	C₄	—	20	1	no	—
1846	C₄	—	20	1	no	—
1847	C₄	—	20	1	no	—
1848	C₄	—	20	1	no	—
1849	C₄	C₂×D₅×#41	1	1	yes	characteristic
1850	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1851	C₂	—	4	1	no	—
1852	C₂	—	4	1	no	—
1853	C₂	—	4	2	no	—
1854	C₂	—	5	4	no	—
1855	C₂	—	8	1	no	—
1856	C₂	—	20	1	no	—
1857	C₂	—	20	1	no	—
1858	C₂	—	20	2	no	—
1859	C₂	—	40	1	no	—
1860	C₂	D₅×#546	1	1	yes	characteristic
1861	C₂	D₅×#575	1	1	yes	characteristic
1862	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×#3323	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	D₅×#546	C₂
hypercenter	#3323	D₅
hypocenter	C₅	C₂×#3323
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3323

Complements

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

N	H ≅ G/N	type
1. D₅×#552	C₂	semidirect
3. C₅×#3323	C₂	semidirect
4. #10615332	C₂	semidirect
5. #10615232	C₂	semidirect
6. #10613388	C₂	semidirect
7. D₅×#488	C₂	semidirect
8. #10613280	C₂	semidirect
9. D₅×#485	C₂	semidirect
10. #10613064	C₂	semidirect
11. D₅×#481	C₂	semidirect
12. #10612924	C₂	semidirect
13. D₅×#478	C₂	semidirect
14. #10612655	C₂	semidirect
15. D₅×#470	C₂	semidirect
16. #10612558	C₂	semidirect
17. D₅×#468	C₂	semidirect
18. #10612352	C₂	semidirect
19. D₅×#464	C₂	semidirect
20. #10611989	C₂	semidirect
21. D₅×#452	C₂	semidirect
22. #10611895	C₂	semidirect
23. D₅×#450	C₂	semidirect
24. #10611413	C₂	semidirect
25. C₄×D₅×SD₁₆	C₂	semidirect
26. #10611285	C₂	semidirect
27. D₅×#436	C₂	semidirect
28. #10610670	C₂	semidirect
29. D₅×#418	C₂	semidirect
30. #10610634	C₂	semidirect
31. D₅×#417	C₂	semidirect
34. C₅×#552	C₂²	semidirect
38. C₂×D₅×Q₁₆	C₂²	semidirect
42. C₂×D₅×M₁₆	C₂²	semidirect
45. #66028	C₂²	semidirect
48. D₅×#125	C₂²	semidirect
55. #65976	C₂²	semidirect
56. #65973	C₂²	semidirect
60. D₅×C₂²⋊Q₈	C₂²	semidirect
67. #65915	C₂²	semidirect
68. C₄×Q₈×D₅	C₂²	semidirect
73. #65875	C₂²	semidirect
75. #65863	C₂²	semidirect
78. #65847	C₂²	semidirect
79. C₂×D₅×C₄⋊C₄	C₂²	semidirect
82. C₅×#488	C₂²	semidirect
83. C₅×#485	C₂²	semidirect
84. C₅×#481	C₂²	semidirect
85. C₅×#478	C₂²	semidirect
86. C₅×#470	C₂²	semidirect
87. C₅×#468	C₂²	semidirect
88. C₅×#464	C₂²	semidirect
89. C₅×#452	C₂²	semidirect
90. C₅×#450	C₂²	semidirect
91. C₄×C₅×SD₁₆	C₂²	semidirect
92. C₅×#436	C₂²	semidirect
93. C₅×#418	C₂²	semidirect
94. C₅×#417	C₂²	semidirect
95. #65528	C₂²	semidirect
96. #65521	C₂²	semidirect
97. #65507	C₂²	semidirect
98. #65504	C₂²	semidirect
99. #65478	C₂²	semidirect
100. #65476	C₂²	semidirect
101. #65474	C₂²	semidirect
102. #65463	C₂²	semidirect
103. #65462	C₂²	semidirect
104. #65458	C₂²	semidirect
105. #65458	C₂²	semidirect
106. #65455	C₂²	semidirect
107. SD₁₆×Dic₅	C₂²	semidirect
108. #65426	C₂²	semidirect
109. #65423	C₂²	semidirect
110. #65422	C₂²	semidirect
111. #65420	C₂²	semidirect
112. #65417	C₂²	semidirect
113. #65417	C₂²	semidirect
114. #65357	C₂²	semidirect
115. #65355	C₂²	semidirect
116. #65345	C₂²	semidirect
117. #65343	C₂²	semidirect
118. #65341	C₂²	semidirect
119. #65341	C₂²	semidirect
120. #65338	C₂²	semidirect
121. #65336	C₂²	semidirect
122. #65335	C₂²	semidirect
123. #65334	C₂²	semidirect
124. #65331	C₂²	semidirect
125. #65323	C₂²	semidirect
126. #65317	C₂²	semidirect
127. C₄×#688	C₂²	semidirect
128. C₄×#687	C₂²	semidirect
129. #65301	C₂²	semidirect
130. #65298	C₂²	semidirect
131. #65290	C₂²	semidirect
132. #65285	C₂²	semidirect
133. #65257	C₂²	semidirect
134. #65255	C₂²	semidirect
135. #65180	C₂²	semidirect
136. #65177	C₂²	semidirect
137. #65175	C₂²	semidirect
138. D₅×#107	C₂²	semidirect
139. #65160	C₂²	semidirect
140. #65157	C₂²	semidirect
141. #65156	C₂²	semidirect
142. #65152	C₂²	semidirect
143. #65152	C₂²	semidirect
144. D₅×#106	C₂²	semidirect
145. D₅×#106	C₂²	semidirect
146. #65141	C₂²	semidirect
147. #65136	C₂²	semidirect
148. #65134	C₂²	semidirect
149. #65127	C₂²	semidirect
150. D₅×C₄⋊C₈	C₂²	semidirect
151. #65105	C₂²	semidirect
152. #65105	C₂²	semidirect
153. #65104	C₂²	semidirect
154. #65103	C₂²	semidirect
155. #65101	C₂²	semidirect
156. #65099	C₂²	semidirect
157. #65092	C₂²	semidirect
158. #65092	C₂²	semidirect
159. D₅×#103	C₂²	semidirect
160. D₅×#103	C₂²	semidirect
161. D₅×#103	C₂²	semidirect
162. D₅×#103	C₂²	semidirect
163. #65089	C₂²	semidirect
164. #65089	C₂²	semidirect
165. #65087	C₂²	semidirect
166. #65077	C₂²	semidirect
167. #65072	C₂²	semidirect
168. #65069	C₂²	semidirect
169. #65066	C₂²	semidirect
170. #65066	C₂²	semidirect
171. #65065	C₂²	semidirect
172. #65065	C₂²	semidirect
173. #65060	C₂²	semidirect
174. #65060	C₂²	semidirect
175. #65059	C₂²	semidirect
176. #65059	C₂²	semidirect
177. #65059	C₂²	semidirect
178. #65059	C₂²	semidirect
185. #65057	C₂²	semidirect
186. #65057	C₂²	semidirect
187. #65056	C₂²	semidirect
188. #65055	C₂²	semidirect
189. #65052	C₂²	semidirect
190. #65047	C₂²	semidirect
191. #65024	C₂²	semidirect
192. #65022	C₂²	semidirect
193. #65020	C₂²	semidirect
194. #65018	C₂²	semidirect
195. #65018	C₂²	semidirect
197. D₅×C₂²⋊C₈	C₂²	semidirect
198. #65012	C₂²	semidirect
199. #64986	C₂²	semidirect
200. C₄×#677	C₂²	semidirect
201. #64977	C₂²	semidirect
202. C₄×C₈×D₅	C₂²	semidirect
234. C₂×C₅×Q₁₆	C₂³	semidirect
238. C₂×C₅×M₁₆	C₂³	semidirect
241. C₅×#125	C₂³	semidirect
247. C₅×C₂²⋊Q₈	C₂³	semidirect
251. C₄×C₅×Q₈	C₂³	semidirect
256. C₂×C₅×C₄⋊C₄	C₂³	semidirect
263. #4092	C₂³	semidirect
264. Q₈×Dic₅	C₂³	semidirect
265. C₂×#689	C₂³	semidirect
266. C₂×#689	C₂³	semidirect
295. C₂×C₄⋊Dic₅	C₂³	semidirect
298. #4070	C₂³	semidirect
301. C₂×#681	C₂³	semidirect
307. C₂×Dic₂₀	C₂³	semidirect
312. C₂×#676	C₂³	semidirect
313. C₂×#676	C₂³	semidirect
323. #4043	C₂³	semidirect
352. D₅×C₄⋊C₄	C₂³	semidirect
353. D₅×C₄⋊C₄	C₂³	semidirect
356. #4036	C₂³	semidirect
357. #4036	C₂³	semidirect
365. #4033	C₂³	semidirect
417. #4016	C₂³	semidirect
419. C₄×Dic₁₀	C₂³	semidirect
420. C₅×#107	C₂³	semidirect
421. C₅×#106	C₂³	semidirect
422. C₅×#106	C₂³	semidirect
423. C₅×C₄⋊C₈	C₂³	semidirect
424. C₅×#103	C₂³	semidirect
425. C₅×#103	C₂³	semidirect
426. C₅×#103	C₂³	semidirect
427. C₅×#103	C₂³	semidirect
435. C₅×C₂²⋊C₈	C₂³	semidirect
436. C₄×C₅×C₈	C₂³	semidirect
437. #3967	C₂³	semidirect
438. #3967	C₂³	semidirect
439. #3967	C₂³	semidirect
440. #3967	C₂³	semidirect
448. C₂²⋊#168	C₂³	semidirect
457. #3952	C₂³	semidirect
458. #3952	C₂³	semidirect
459. #3950	C₂³	semidirect
460. #3949	C₂³	semidirect
461. #3949	C₂³	semidirect
462. #3948	C₂³	semidirect
463. #3948	C₂³	semidirect
464. #3948	C₂³	semidirect
465. #3948	C₂³	semidirect
466. #3946	C₂³	semidirect
467. #3946	C₂³	semidirect
468. C₈×Dic₅	C₂³	semidirect
469. C₈×Dic₅	C₂³	semidirect
470. #3942	C₂³	semidirect
471. #3942	C₂³	semidirect
472. #3942	C₂³	semidirect
473. #3942	C₂³	semidirect
480. #3940	C₂³	semidirect
481. #3940	C₂³	semidirect
482. #3940	C₂³	semidirect
483. #3940	C₂³	semidirect
484. #3939	C₂³	semidirect
485. #3939	C₂³	semidirect
486. C₄⋊#168	C₂³	semidirect
487. C₄×#168	C₂³	semidirect
505. #3323	D₅	direct (N × H)
774. #552	C₂×D₅	semidirect
813. #488	C₂×D₅	semidirect
821. #485	C₂×D₅	semidirect
829. #481	C₂×D₅	semidirect
837. #478	C₂×D₅	semidirect
845. #470	C₂×D₅	semidirect
853. #468	C₂×D₅	semidirect
861. #464	C₂×D₅	semidirect
869. #452	C₂×D₅	semidirect
877. #450	C₂×D₅	semidirect
885. C₄×SD₁₆	C₂×D₅	semidirect
893. #436	C₂×D₅	semidirect
905. #418	C₂×D₅	semidirect
913. #417	C₂×D₅	semidirect
1097. C₂×Q₁₆	C₂²×D₅	semidirect
1117. C₂×M₁₆	C₂²×D₅	semidirect
1143. #125	C₂²×D₅	semidirect
1183. C₂²⋊Q₈	C₂²×D₅	semidirect
1211. C₄×Q₈	C₂²×D₅	semidirect
1257. C₂×C₄⋊C₄	C₂²×D₅	semidirect
1282. #107	C₂²×D₅	semidirect
1289. #106	C₂²×D₅	semidirect
1290. #106	C₂²×D₅	semidirect
1294. C₄⋊C₈	C₂²×D₅	semidirect
1307. #103	C₂²×D₅	semidirect
1308. #103	C₂²×D₅	semidirect
1309. #103	C₂²×D₅	semidirect
1310. #103	C₂²×D₅	semidirect
1342. C₂²⋊C₈	C₂²×D₅	semidirect
1346. C₄×C₈	C₂²×D₅	semidirect
1654. D₅	#3323	direct (N × H)
1791. C₅	C₂×#3323	semidirect

Maximal subgroups

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

subgroup	index
D₅×#552	2
D₅×#546	2
C₅×#3323	2
#10615332	2
#10615232	2
#10613388	2
D₅×#488	2
#10613280	2
D₅×#485	2
#10613064	2
D₅×#481	2
#10612924	2
D₅×#478	2
#10612655	2
D₅×#470	2
#10612558	2
D₅×#468	2
#10612352	2
D₅×#464	2
#10611989	2
D₅×#452	2
#10611895	2
D₅×#450	2
#10611413	2
C₄×D₅×SD₁₆	2
#10611285	2
D₅×#436	2
#10610670	2
D₅×#418	2
#10610634	2
D₅×#417	2
C₂×#3323	5

Subgroups — D5×#3323 #12976105

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅×#3323 #12976105