Subgroups — D₅×#3124 #12967607

Order 1280.

2134 conjugacy classes of subgroups.

The subgroup lattice has 1766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₅×#542	C₂	1	1	yes	maximal, characteristic, complemented
2	D₅×#520	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3124	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615192	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614300	C₂	1	1	yes	maximal, characteristic, complemented
6	D₅×#484	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613188	C₂	1	1	yes	maximal, characteristic, complemented
8	D₅×#480	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613004	C₂	1	1	yes	maximal, characteristic, complemented
10	D₅×#477	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612828	C₂	1	1	yes	maximal, characteristic, complemented
12	D₅×#474	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612684	C₂	1	1	yes	maximal, characteristic, complemented
14	D₅×#464	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612305	C₂	1	1	yes	maximal, characteristic, complemented
16	D₅×#463	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612241	C₂	1	1	yes	maximal, characteristic, complemented
18	D₅×#452	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611949	C₂	1	1	yes	maximal, characteristic, complemented
20	D₅×#449	C₂	1	1	yes	maximal, characteristic
21	#10611805	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611544	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611519	C₂	1	1	yes	maximal, characteristic, complemented
24	D₅×#440	C₂	1	1	yes	maximal, characteristic, complemented
25	D₅×#440	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611480	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×D₅×Q₁₆	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611328	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×D₅×D₈	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611119	C₂	1	1	yes	maximal, characteristic, complemented
31	D₅×#433	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₅×#41	C₂²	1	1	yes	characteristic
33	C₅×#542	C₂²	1	1	yes	characteristic, complemented
34	C₅×#520	C₂²	1	1	yes	characteristic, complemented
35	#66161	C₂²	1	1	yes	characteristic, complemented
36	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic
37	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
38	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
39	C₂×D₅×D₈	C₂²	1	1	yes	characteristic
40	#66067	C₂²	1	1	yes	characteristic, complemented
41	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
42	#66044	—	2	1	no	—
43	D₅×#126	—	2	1	no	—
44	#66016	C₂²	1	1	yes	characteristic, complemented
45	D₅×#124	—	2	1	no	—
46	D₅×#124	C₂²	1	1	yes	characteristic
47	#66003	—	2	1	no	—
48	#65996	—	2	1	no	—
49	D₅×#123	—	2	1	no	—
50	#65977	C₂²	1	1	yes	characteristic, complemented
51	#65974	—	2	1	no	—
52	D₅×C₂²⋊Q₈	—	2	1	no	—
53	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
54	D₅×#121	C₂²	1	1	yes	characteristic
55	#65937	C₂²	1	1	yes	characteristic, complemented
56	#65916	C₂²	1	1	yes	characteristic, complemented
57	#65908	C₂²	1	1	yes	characteristic, complemented
58	#65908	C₂²	1	1	yes	characteristic, complemented
59	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
60	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
61	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
62	#65895	C₂²	1	1	yes	characteristic, complemented
63	#65880	—	2	1	no	—
64	#65880	—	2	1	no	—
65	#65880	C₂²	1	1	yes	characteristic, complemented
66	#65880	C₂²	1	1	yes	characteristic, complemented
67	C₄×D₄×D₅	—	2	1	no	—
68	C₄×D₄×D₅	—	2	1	no	—
69	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
70	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
71	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
72	#65868	C₂²	1	1	yes	characteristic, complemented
73	#65857	—	2	1	no	—
74	#65857	C₂²	1	1	yes	characteristic, complemented
75	D₅×#117	—	2	1	no	—
76	D₅×#117	C₂²	1	1	yes	characteristic
77	#65838	—	2	1	no	—
78	#65838	C₂²	1	1	yes	characteristic, complemented
79	C₂×D₅×C₄⋊C₄	—	2	1	no	—
80	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
81	C₅×#484	C₂²	1	1	yes	characteristic, complemented
82	C₅×#480	C₂²	1	1	yes	characteristic, complemented
83	C₅×#477	C₂²	1	1	yes	characteristic, complemented
84	C₅×#474	C₂²	1	1	yes	characteristic, complemented
85	C₅×#464	C₂²	1	1	yes	characteristic, complemented
86	C₅×#463	C₂²	1	1	yes	characteristic, complemented
87	C₅×#452	C₂²	1	1	yes	characteristic, complemented
88	C₅×#449	C₂²	1	1	yes	characteristic
89	C₅×#440	C₂²	1	1	yes	characteristic, complemented
90	C₅×#440	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₅×D₈	C₂²	1	1	yes	characteristic, complemented
93	C₅×#433	C₂²	1	1	yes	characteristic, complemented
94	#65528	C₂²	1	1	yes	characteristic, complemented
95	#65527	C₂²	1	1	yes	characteristic
96	#65476	C₂²	1	1	yes	characteristic, complemented
97	#65474	C₂²	1	1	yes	characteristic, complemented
98	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
99	#65462	C₂²	1	1	yes	characteristic, complemented
100	#65461	C₂²	1	1	yes	characteristic
101	#65455	C₂²	1	1	yes	characteristic, complemented
102	#65454	C₂²	1	1	yes	characteristic, complemented
103	#65453	C₂²	1	1	yes	characteristic, complemented
104	#65453	C₂²	1	1	yes	characteristic, complemented
105	#65447	C₂²	1	1	yes	characteristic
106	#65442	C₂²	1	1	yes	characteristic, complemented
107	D₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
108	#65380	C₂²	1	1	yes	characteristic, complemented
109	#65376	C₂²	1	1	yes	characteristic, complemented
110	#65346	C₂²	1	1	yes	characteristic, complemented
111	#65343	C₂²	1	1	yes	characteristic, complemented
112	#65336	C₂²	1	1	yes	characteristic, complemented
113	#65333	C₂²	1	1	yes	characteristic, complemented
114	#65326	C₂²	1	1	yes	characteristic
115	#65322	C₂²	1	1	yes	characteristic, complemented
116	C₄×#689	C₂²	1	1	yes	characteristic, complemented
117	C₄×#689	C₂²	1	1	yes	characteristic, complemented
118	#65317	C₂²	1	1	yes	characteristic, complemented
119	#65315	C₂²	1	1	yes	characteristic, complemented
120	#65315	C₂²	1	1	yes	characteristic, complemented
121	#65310	C₂²	1	1	yes	characteristic, complemented
122	#65307	C₂²	1	1	yes	characteristic, complemented
123	#65307	C₂²	1	1	yes	characteristic, complemented
124	#65305	C₂²	1	1	yes	characteristic, complemented
125	C₄×#686	C₂²	1	1	yes	characteristic, complemented
126	C₄×#686	C₂²	1	1	yes	characteristic, complemented
127	#65296	C₂²	1	1	yes	characteristic, complemented
128	#65289	C₂²	1	1	yes	characteristic, complemented
129	#65259	C₂²	1	1	yes	characteristic, complemented
130	#65256	C₂²	1	1	yes	characteristic, complemented
131	#65179	C₂²	1	1	yes	characteristic, complemented
132	#65179	C₂²	1	1	yes	characteristic, complemented
133	#65178	C₂²	1	1	yes	characteristic, complemented
134	#65178	C₂²	1	1	yes	characteristic, complemented
135	#65173	C₂²	1	1	yes	characteristic, complemented
136	#65173	C₂²	1	1	yes	characteristic, complemented
137	#65171	C₂²	1	1	yes	characteristic, complemented
138	#65171	C₂²	1	1	yes	characteristic, complemented
139	D₅×#107	C₂²	1	1	yes	characteristic
140	D₅×#107	C₂²	1	1	yes	characteristic
141	D₅×#107	C₂²	1	1	yes	characteristic
142	D₅×#107	C₂²	1	1	yes	characteristic
143	#65164	C₂²	1	1	yes	characteristic, complemented
144	#65164	C₂²	1	1	yes	characteristic, complemented
145	#65162	C₂²	1	1	yes	characteristic, complemented
146	#65161	C₂²	1	1	yes	characteristic, complemented
147	#65139	C₂²	1	1	yes	characteristic, complemented
148	#65135	C₂²	1	1	yes	characteristic, complemented
149	#65134	C₂²	1	1	yes	characteristic, complemented
150	#65133	C₂²	1	1	yes	characteristic, complemented
151	#65129	C₂²	1	1	yes	characteristic, complemented
152	#65129	C₂²	1	1	yes	characteristic, complemented
153	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
154	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
155	#65108	C₂²	1	1	yes	characteristic, complemented
156	#65106	C₂²	1	1	yes	characteristic, complemented
157	#65106	C₂²	1	1	yes	characteristic, complemented
158	#65100	C₂²	1	1	yes	characteristic
159	#65099	C₂²	1	1	yes	characteristic, complemented
160	#65098	C₂²	1	1	yes	characteristic, complemented
161	#65098	C₂²	1	1	yes	characteristic, complemented
162	D₅×#103	C₂²	1	1	yes	characteristic
163	D₅×#103	C₂²	1	1	yes	characteristic
164	D₅×#103	C₂²	1	1	yes	characteristic
165	D₅×#103	C₂²	1	1	yes	characteristic
166	#65087	C₂²	1	1	yes	characteristic, complemented
167	#65083	C₂²	1	1	yes	characteristic, complemented
168	#65083	C₂²	1	1	yes	characteristic, complemented
169	#65079	C₂²	1	1	yes	characteristic, complemented
170	#65079	C₂²	1	1	yes	characteristic, complemented
171	#65076	C₂²	1	1	yes	characteristic, complemented
172	#65072	C₂²	1	1	yes	characteristic, complemented
173	#65070	C₂²	1	1	yes	characteristic
174	#65063	C₂²	1	1	yes	characteristic, complemented
175	#65063	C₂²	1	1	yes	characteristic, complemented
176	D₅×#102	C₂²	1	1	yes	characteristic
177	D₅×#102	C₂²	1	1	yes	characteristic
178	D₅×#102	C₂²	1	1	yes	characteristic
179	D₅×#102	C₂²	1	1	yes	characteristic
180	#65056	C₂²	1	1	yes	characteristic, complemented
181	#65048	C₂²	1	1	yes	characteristic, complemented
182	#65048	C₂²	1	1	yes	characteristic, complemented
183	#65046	C₂²	1	1	yes	characteristic, complemented
184	#65046	C₂²	1	1	yes	characteristic, complemented
185	#65045	C₂²	1	1	yes	characteristic, complemented
186	#65045	C₂²	1	1	yes	characteristic, complemented
187	#65025	C₂²	1	1	yes	characteristic, complemented
188	#65023	C₂²	1	1	yes	characteristic
189	#65022	C₂²	1	1	yes	characteristic, complemented
190	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
191	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
192	#65011	C₂²	1	1	yes	characteristic, complemented
193	#65009	C₂²	1	1	yes	characteristic, complemented
194	#65009	C₂²	1	1	yes	characteristic, complemented
195	#64999	C₂²	1	1	yes	characteristic, complemented
196	#64999	C₂²	1	1	yes	characteristic, complemented
197	#64998	C₂²	1	1	yes	characteristic, complemented
198	D₅×#97	C₂²	1	1	yes	characteristic
199	C₄×Dic₂₀	C₂²	1	1	yes	characteristic, complemented
200	C₄×D₄₀	C₂²	1	1	yes	characteristic, complemented
201	#64979	C₂²	1	1	yes	characteristic, complemented
202	C₄×C₈×D₅	C₂²	1	1	yes	characteristic
203	C₂×#3124	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	D₅×#41	—	2	4	no	—
206	D₅×#41	—	2	4	no	—
207	C₂×#713	C₂³	1	1	yes	characteristic
208	C₂×Q₈×D₅	—	2	1	no	—
209	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
210	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
211	C₂×#711	—	2	1	no	—
212	C₂×#711	C₂³	1	1	yes	characteristic
213	C₂×D₄×D₅	—	2	1	no	—
214	C₂×D₄×D₅	—	2	1	no	—
215	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
216	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
217	C₂×#709	—	2	1	no	—
218	C₂×#709	C₂³	1	1	yes	characteristic
219	C₂²×C₄×D₅	—	2	1	no	—
220	C₂²×C₄×D₅	—	2	1	no	—
221	C₂²×C₄×D₅	—	2	1	no	—
222	C₂²×C₄×D₅	—	2	1	no	—
223	C₂²×C₄×D₅	—	2	1	no	—
224	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
225	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
226	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
227	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
228	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
229	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
230	C₅×#126	—	2	1	no	—
231	C₅×#124	—	2	1	no	—
232	C₅×#124	C₂³	1	1	yes	characteristic
233	C₅×#123	—	2	1	no	—
234	C₅×C₂²⋊Q₈	—	2	1	no	—
235	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
236	C₅×#121	C₂³	1	1	yes	characteristic
237	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
238	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
239	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
240	C₄×C₅×D₄	—	2	1	no	—
241	C₄×C₅×D₄	—	2	1	no	—
242	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
243	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
244	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
245	C₅×#117	—	2	1	no	—
246	C₅×#117	C₂³	1	1	yes	characteristic
247	C₂×C₅×C₄⋊C₄	—	2	1	no	—
248	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	#4093	—	2	1	no	—
250	#4093	C₂³	1	1	yes	characteristic
251	#4092	—	2	1	no	—
252	#4092	C₂³	1	1	yes	characteristic
253	Q₈×Dic₅	C₂³	1	1	yes	characteristic
254	Q₈×Dic₅	C₂³	1	1	yes	characteristic
255	Q₈×Dic₅	C₂³	1	1	yes	characteristic
256	#4090	—	2	1	no	—
257	C₂×#689	C₂³	1	1	yes	characteristic
258	C₂×#689	C₂³	1	1	yes	characteristic
259	C₂×#688	C₂³	1	1	yes	characteristic
260	C₂×#688	C₂³	1	1	yes	characteristic
261	#4085	—	2	1	no	—
262	#4084	C₂³	1	1	yes	characteristic
263	#4082	—	2	1	no	—
264	#4082	C₂³	1	1	yes	characteristic
265	#4081	—	2	1	no	—
266	D₄×Dic₅	—	2	1	no	—
267	D₄×Dic₅	—	2	1	no	—
268	D₄×Dic₅	C₂³	1	1	yes	characteristic
269	D₄×Dic₅	C₂³	1	1	yes	characteristic
270	D₄×Dic₅	C₂³	1	1	yes	characteristic
271	C₂×#687	C₂³	1	1	yes	characteristic
272	C₂×#687	C₂³	1	1	yes	characteristic
273	C₂×#686	C₂³	1	1	yes	characteristic
274	C₂×#686	C₂³	1	1	yes	characteristic
275	#4076	C₂³	1	1	yes	characteristic
276	#4075	—	2	1	no	—
277	C₄×C₂²⋊D₅	—	2	1	no	—
278	C₄×C₂²⋊D₅	—	2	1	no	—
279	C₄×C₂²⋊D₅	—	2	1	no	—
280	C₄×C₂²⋊D₅	—	2	1	no	—
281	C₄×C₂²⋊D₅	—	2	1	no	—
282	C₄×C₂²⋊D₅	—	2	1	no	—
283	C₄×C₂²⋊D₅	—	2	1	no	—
284	#4072	—	2	1	no	—
285	#4072	C₂³	1	1	yes	characteristic
286	C₂×C₄⋊Dic₅	—	2	1	no	—
287	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
288	#4070	—	2	1	no	—
289	#4070	C₂³	1	1	yes	characteristic
290	C₂×#683	—	2	1	no	—
291	C₂×#683	—	2	1	no	—
292	C₂×#683	—	2	1	no	—
293	D₅×Q₁₆	—	2	4	no	—
294	D₅×SD₁₆	—	2	4	no	—
295	D₅×SD₁₆	—	2	4	no	—
296	D₅×D₈	—	2	4	no	—
297	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
298	C₂×D₄₀	C₂³	1	1	yes	characteristic
299	C₂×#677	C₂³	1	1	yes	characteristic
300	C₂×#677	C₂³	1	1	yes	characteristic
301	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
302	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
303	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
304	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
305	#4044	—	2	1	no	—
306	#4044	—	2	1	no	—
307	#4044	—	2	1	no	—
308	#4043	—	2	1	no	—
309	#4043	C₂³	1	1	yes	characteristic
310	#4042	—	2	1	no	—
311	#4042	—	2	1	no	—
312	#4042	—	2	1	no	—
313	#4041	C₂³	1	1	yes	characteristic
314	#4040	—	2	1	no	—
315	#4040	—	2	1	no	—
316	#4039	—	2	1	no	—
317	#4039	—	2	1	no	—
318	#4039	C₂³	1	1	yes	characteristic
319	#4039	C₂³	1	1	yes	characteristic
320	#4039	C₂³	1	1	yes	characteristic
321	#4038	—	2	1	no	—
322	#4038	—	2	1	no	—
323	#4038	D₄	1	1	yes	characteristic
324	#4038	D₄	1	1	yes	characteristic
325	D₅×C₄⋊C₄	—	2	1	no	—
326	D₅×C₄⋊C₄	—	2	1	no	—
327	D₅×C₄⋊C₄	—	2	1	no	—
328	D₅×C₄⋊C₄	—	2	1	no	—
329	D₅×C₄⋊C₄	—	2	1	no	—
330	D₅×C₄⋊C₄	—	2	1	no	—
331	D₅×C₄⋊C₄	—	2	1	no	—
332	D₅×C₄⋊C₄	—	2	1	no	—
333	D₅×C₄⋊C₄	—	2	1	no	—
334	D₅×C₄⋊C₄	—	2	1	no	—
335	D₅×C₄⋊C₄	—	2	1	no	—
336	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
337	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
338	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
339	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
340	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
341	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
342	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
343	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
344	#4034	—	2	1	no	—
345	#4034	C₂³	1	1	yes	characteristic
346	#4034	C₂³	1	1	yes	characteristic
347	#4033	—	2	1	no	—
348	#4033	—	2	1	no	—
349	#4033	—	2	1	no	—
350	#4033	C₂³	1	1	yes	characteristic
351	#4033	C₂³	1	1	yes	characteristic
352	#4033	C₂³	1	1	yes	characteristic
353	#4032	—	2	1	no	—
354	#4031	—	2	1	no	—
355	#4031	—	2	1	no	—
356	#4031	—	2	1	no	—
357	#4031	—	2	1	no	—
358	#4031	—	2	1	no	—
359	#4031	—	2	1	no	—
360	#4030	—	2	1	no	—
361	#4029	—	2	1	no	—
362	#4029	—	2	1	no	—
363	#4027	—	2	1	no	—
364	#4027	—	2	1	no	—
365	#4027	—	2	1	no	—
366	#4027	—	2	1	no	—
367	#4027	—	2	1	no	—
368	#4027	—	2	1	no	—
369	#4027	—	2	1	no	—
370	D₅×C₂²⋊C₄	—	2	1	no	—
371	D₅×C₂²⋊C₄	—	2	1	no	—
372	D₅×C₂²⋊C₄	—	2	1	no	—
373	D₅×C₂²⋊C₄	—	2	1	no	—
374	D₅×C₂²⋊C₄	—	2	1	no	—
375	D₅×C₂²⋊C₄	—	2	1	no	—
376	D₅×C₂²⋊C₄	—	2	1	no	—
377	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
378	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
379	#4025	—	2	1	no	—
380	#4025	—	2	1	no	—
381	#4025	—	2	1	no	—
382	#4024	—	2	1	no	—
383	#4024	—	2	1	no	—
384	#4024	—	2	1	no	—
385	#4023	—	2	1	no	—
386	#4023	—	2	1	no	—
387	#4023	D₄	1	1	yes	characteristic
388	#4023	D₄	1	1	yes	characteristic
389	#4022	—	2	1	no	—
390	#4021	—	2	1	no	—
391	#4021	C₂³	1	1	yes	characteristic
392	C₄×D₂₀	—	2	1	no	—
393	C₄×D₂₀	—	2	1	no	—
394	C₄×D₂₀	C₂³	1	1	yes	characteristic
395	C₄×D₂₀	C₂³	1	1	yes	characteristic
396	C₄×D₂₀	C₂³	1	1	yes	characteristic
397	#4018	—	2	1	no	—
398	#4018	—	2	1	no	—
399	#4018	C₂³	1	1	yes	characteristic
400	#4018	C₂³	1	1	yes	characteristic
401	C₄²×D₅	—	2	1	no	—
402	C₄²×D₅	—	2	1	no	—
403	C₄²×D₅	—	2	1	no	—
404	C₄²×D₅	C₂³	1	1	yes	characteristic
405	C₄²×D₅	C₂³	1	1	yes	characteristic
406	#4015	C₂³	1	1	yes	characteristic
407	C₄×Dic₁₀	—	2	1	no	—
408	C₄×Dic₁₀	—	2	1	no	—
409	C₄×Dic₁₀	—	2	1	no	—
410	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
411	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
412	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
413	C₅×#107	C₂³	1	1	yes	characteristic
414	C₅×#107	C₂³	1	1	yes	characteristic
415	C₅×#107	C₂³	1	1	yes	characteristic
416	C₅×#107	C₂³	1	1	yes	characteristic
417	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
418	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
419	C₅×#103	C₂³	1	1	yes	characteristic
420	C₅×#103	C₂³	1	1	yes	characteristic
421	C₅×#103	C₂³	1	1	yes	characteristic
422	C₅×#103	C₂³	1	1	yes	characteristic
423	C₅×#102	C₂³	1	1	yes	characteristic
424	C₅×#102	C₂³	1	1	yes	characteristic
425	C₅×#102	C₂³	1	1	yes	characteristic
426	C₅×#102	C₂³	1	1	yes	characteristic
427	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
429	C₅×#97	C₂³	1	1	yes	characteristic
430	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
431	#3967	C₂³	1	1	yes	characteristic
432	#3967	C₂³	1	1	yes	characteristic
433	#3967	C₂³	1	1	yes	characteristic
434	#3967	C₂³	1	1	yes	characteristic
435	#3964	C₂³	1	1	yes	characteristic
436	#3964	C₂³	1	1	yes	characteristic
437	#3964	C₂³	1	1	yes	characteristic
438	#3964	C₂³	1	1	yes	characteristic
439	C₂²⋊#168	C₂³	1	1	yes	characteristic
440	C₂²⋊#168	C₂³	1	1	yes	characteristic
441	#3953	C₂³	1	1	yes	characteristic
442	#3953	C₂³	1	1	yes	characteristic
443	#3953	C₂³	1	1	yes	characteristic
444	#3953	C₂³	1	1	yes	characteristic
445	#3952	C₂³	1	1	yes	characteristic
446	#3952	C₂³	1	1	yes	characteristic
447	#3952	C₂³	1	1	yes	characteristic
448	#3952	C₂³	1	1	yes	characteristic
449	#3950	C₂³	1	1	yes	characteristic
450	#3950	C₂³	1	1	yes	characteristic
451	#3950	C₂³	1	1	yes	characteristic
452	#3950	C₂³	1	1	yes	characteristic
453	#3948	C₂³	1	1	yes	characteristic
454	#3948	C₂³	1	1	yes	characteristic
455	#3948	C₂³	1	1	yes	characteristic
456	#3948	C₂³	1	1	yes	characteristic
457	#3947	C₂³	1	1	yes	characteristic
458	#3947	C₂³	1	1	yes	characteristic
459	#3946	C₂³	1	1	yes	characteristic
460	#3946	C₂³	1	1	yes	characteristic
461	#3946	C₂³	1	1	yes	characteristic
462	#3946	C₂³	1	1	yes	characteristic
463	C₈×Dic₅	C₂³	1	1	yes	characteristic
464	C₈×Dic₅	C₂³	1	1	yes	characteristic
465	#3942	C₂³	1	1	yes	characteristic
466	#3942	C₂³	1	1	yes	characteristic
467	#3942	C₂³	1	1	yes	characteristic
468	#3942	C₂³	1	1	yes	characteristic
469	#3941	C₂³	1	1	yes	characteristic
470	#3941	C₂³	1	1	yes	characteristic
471	#3941	C₂³	1	1	yes	characteristic
472	#3941	C₂³	1	1	yes	characteristic
473	#3939	C₂³	1	1	yes	characteristic
474	#3939	C₂³	1	1	yes	characteristic
475	#3939	C₂³	1	1	yes	characteristic
476	#3939	C₂³	1	1	yes	characteristic
477	#3939	C₂³	1	1	yes	characteristic
478	#3939	C₂³	1	1	yes	characteristic
479	#3939	C₂³	1	1	yes	characteristic
480	#3939	C₂³	1	1	yes	characteristic
481	C₄⋊#168	C₂³	1	1	yes	characteristic
482	C₄⋊#168	C₂³	1	1	yes	characteristic
483	#3935	C₂³	1	1	yes	characteristic
484	C₄×#168	C₂³	1	1	yes	characteristic
485	C₂×#542	—	5	1	no	—
486	C₂×#520	—	5	1	no	—
487	#3124	—	5	1	no	—
488	#3124	—	5	1	no	—
489	#3124	—	5	1	no	—
490	#3124	—	5	1	no	—
491	#3124	—	5	1	no	—
492	#3124	—	5	1	no	—
493	#3124	—	5	1	no	—
494	#3124	—	5	1	no	—
495	#3124	—	5	1	no	—
496	#3124	—	5	1	no	—
497	#3124	—	5	1	no	—
498	#3124	—	5	1	no	—
499	#3124	—	5	1	no	—
500	#3124	—	5	1	no	—
501	#3124	—	5	1	no	—
502	#3124	D₅	1	1	yes	characteristic, direct product factor
503	C₂×#484	—	5	1	no	—
504	C₂×#480	—	5	1	no	—
505	C₂×#477	—	5	1	no	—
506	C₂×#474	—	5	1	no	—
507	C₂×#464	—	5	1	no	—
508	C₂×#463	—	5	1	no	—
509	C₂×#452	—	5	1	no	—
510	C₂×#449	—	5	1	no	—
511	C₂×#440	—	5	1	no	—
512	C₂×#440	—	5	1	no	—
513	C₂×C₄×Q₁₆	—	5	1	no	—
514	C₂×C₄×D₈	—	5	1	no	—
515	C₂×#433	—	5	1	no	—
516	C₂³×D₅	—	2	1	no	—
517	C₂³×D₅	—	2	1	no	—
518	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
519	C₅×#41	—	2	2	no	—
520	C₅×#41	—	2	2	no	—
521	C₂×C₅×Q₈	—	2	1	no	—
522	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
523	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
524	C₂×C₅×D₄	—	2	1	no	—
525	C₂×C₅×D₄	—	2	1	no	—
526	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
527	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₅	—	2	1	no	—
529	C₂²×C₄×C₅	—	2	1	no	—
530	C₂²×C₄×C₅	—	2	1	no	—
531	C₂²×C₄×C₅	—	2	1	no	—
532	C₂²×C₄×C₅	—	2	1	no	—
533	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
534	C₂×C₂²⋊D₅	—	2	1	no	—
535	C₂×C₂²⋊D₅	—	2	1	no	—
536	C₂×C₂²⋊D₅	—	2	1	no	—
537	C₂×C₂²⋊D₅	—	2	1	no	—
538	C₂×C₂²⋊D₅	—	2	1	no	—
539	C₂×C₂²⋊D₅	—	2	1	no	—
540	C₂²×Dic₅	—	2	1	no	—
541	C₂²×Dic₅	—	2	1	no	—
542	C₂²×Dic₅	—	2	1	no	—
543	C₂²×Dic₅	—	2	1	no	—
544	C₂²×Dic₅	—	2	1	no	—
545	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
546	#713	—	2	2	no	—
547	#713	—	2	2	no	—
548	Q₈×D₅	—	2	2	no	—
549	Q₈×D₅	—	2	2	no	—
550	Q₈×D₅	—	2	2	no	—
551	Q₈×D₅	—	8	2	no	—
552	Q₈×D₅	#41	1	4	yes	—
553	#711	—	2	8	no	—
554	#711	—	2	2	no	—
555	#711	—	2	2	no	—
556	D₄×D₅	—	2	8	no	—
557	D₄×D₅	—	2	2	no	—
558	D₄×D₅	—	2	2	no	—
559	D₄×D₅	—	2	2	no	—
560	D₄×D₅	—	8	2	no	—
561	D₄×D₅	#41	1	4	yes	—
562	#709	—	2	8	no	—
563	#709	—	2	2	no	—
564	#709	—	2	2	no	—
565	C₂×D₂₀	—	2	1	no	—
566	C₂×D₂₀	—	2	1	no	—
567	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
568	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
569	C₂×C₄×D₅	—	2	8	no	—
570	C₂×C₄×D₅	—	2	1	no	—
571	C₂×C₄×D₅	—	2	1	no	—
572	C₂×C₄×D₅	—	2	1	no	—
573	C₂×C₄×D₅	—	2	2	no	—
574	C₂×C₄×D₅	—	2	2	no	—
575	C₂×C₄×D₅	—	2	1	no	—
576	C₂×C₄×D₅	—	2	1	no	—
577	C₂×C₄×D₅	—	2	1	no	—
578	C₂×C₄×D₅	—	2	1	no	—
579	C₂×C₄×D₅	—	2	1	no	—
580	C₂×C₄×D₅	—	2	1	no	—
581	C₂×C₄×D₅	—	2	1	no	—
582	C₂×C₄×D₅	—	2	1	no	—
583	C₂×C₄×D₅	—	2	1	no	—
584	C₂×C₄×D₅	—	2	1	no	—
585	C₂×C₄×D₅	—	2	1	no	—
586	C₂×C₄×D₅	—	2	1	no	—
587	C₂×C₄×D₅	—	2	1	no	—
588	C₂×C₄×D₅	—	8	2	no	—
589	C₂×C₄×D₅	—	8	2	no	—
590	C₂×C₄×D₅	—	8	2	no	—
591	C₂×C₄×D₅	—	8	2	no	—
592	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
593	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
594	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
595	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
596	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
597	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
598	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
599	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
600	C₂×Dic₁₀	—	2	1	no	—
601	C₂×Dic₁₀	—	2	1	no	—
602	C₂×Dic₁₀	—	2	1	no	—
603	C₂×Dic₁₀	—	2	1	no	—
604	C₂×Dic₁₀	—	2	1	no	—
605	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
606	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
607	C₅×Q₁₆	—	2	2	no	—
608	C₅×SD₁₆	—	2	2	no	—
609	C₅×SD₁₆	—	2	2	no	—
610	C₅×D₈	—	2	2	no	—
611	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
612	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
613	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
614	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
615	C₅×C₄⋊C₄	—	2	1	no	—
616	C₅×C₄⋊C₄	—	2	1	no	—
617	C₅×C₄⋊C₄	—	2	1	no	—
618	C₅×C₄⋊C₄	—	2	1	no	—
619	C₅×C₄⋊C₄	—	2	1	no	—
620	C₅×C₄⋊C₄	—	2	1	no	—
621	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
622	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
623	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
624	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
625	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
626	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
627	C₅×C₂²⋊C₄	—	2	1	no	—
628	C₅×C₂²⋊C₄	—	2	1	no	—
629	C₅×C₂²⋊C₄	—	2	1	no	—
630	C₅×C₂²⋊C₄	—	2	1	no	—
631	C₅×C₂²⋊C₄	—	2	1	no	—
632	C₅×C₂²⋊C₄	—	2	1	no	—
633	C₅×C₂²⋊C₄	—	2	1	no	—
634	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
635	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
636	C₄²×C₅	—	2	1	no	—
637	C₄²×C₅	—	2	1	no	—
638	C₄²×C₅	—	2	1	no	—
639	C₄²×C₅	C₂⁴	1	1	yes	characteristic
640	C₄²×C₅	C₂⁴	1	1	yes	characteristic
641	C₂²⋊Dic₅	—	2	1	no	—
642	C₂²⋊Dic₅	—	2	1	no	—
643	C₂²⋊Dic₅	—	2	1	no	—
644	C₂²⋊Dic₅	—	2	1	no	—
645	C₂²⋊Dic₅	—	2	1	no	—
646	C₂²⋊Dic₅	—	2	1	no	—
647	C₂²⋊Dic₅	—	2	1	no	—
648	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
649	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
650	#689	—	2	2	no	—
651	#689	—	2	2	no	—
652	#688	—	2	2	no	—
653	#688	—	2	2	no	—
654	#687	—	2	2	no	—
655	#687	—	2	2	no	—
656	#686	—	2	2	no	—
657	#686	—	2	2	no	—
658	#685	—	2	1	no	—
659	#685	—	2	1	no	—
660	#685	—	2	1	no	—
661	#685	—	2	1	no	—
662	#685	—	2	1	no	—
663	#685	—	2	1	no	—
664	#685	—	2	1	no	—
665	#685	—	2	1	no	—
666	#685	—	2	1	no	—
667	#685	—	2	1	no	—
668	#685	—	2	1	no	—
669	#685	—	2	1	no	—
670	#685	—	2	1	no	—
671	#685	—	2	1	no	—
672	#685	C₂×D₄	1	1	yes	characteristic
673	#685	C₂×D₄	1	1	yes	characteristic
674	#685	C₂×D₄	1	1	yes	characteristic
675	#685	C₂×D₄	1	1	yes	characteristic
676	C₄⋊Dic₅	—	2	1	no	—
677	C₄⋊Dic₅	—	2	1	no	—
678	C₄⋊Dic₅	—	2	1	no	—
679	C₄⋊Dic₅	—	2	1	no	—
680	C₄⋊Dic₅	—	2	1	no	—
681	C₄⋊Dic₅	—	2	1	no	—
682	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
683	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
684	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
685	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
686	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
687	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
688	#683	—	2	1	no	—
689	#683	—	2	1	no	—
690	#683	—	2	1	no	—
691	#683	—	2	1	no	—
692	#683	—	2	1	no	—
693	#683	—	2	1	no	—
694	#683	—	2	1	no	—
695	#683	—	2	1	no	—
696	#683	—	2	1	no	—
697	#683	—	2	1	no	—
698	#683	—	2	1	no	—
699	#683	—	2	1	no	—
700	#683	—	2	1	no	—
701	#683	—	2	1	no	—
702	#683	—	2	1	no	—
703	#683	—	2	1	no	—
704	#683	C₂×D₄	1	1	yes	characteristic
705	#683	C₂×D₄	1	1	yes	characteristic
706	#683	C₂×D₄	1	1	yes	characteristic
707	#683	C₂×D₄	1	1	yes	characteristic
708	C₄×Dic₅	—	2	1	no	—
709	C₄×Dic₅	—	2	1	no	—
710	C₄×Dic₅	—	2	1	no	—
711	C₄×Dic₅	—	2	1	no	—
712	C₄×Dic₅	—	2	1	no	—
713	C₄×Dic₅	—	2	1	no	—
714	C₄×Dic₅	—	2	1	no	—
715	C₄×Dic₅	—	2	1	no	—
716	C₄×Dic₅	—	2	1	no	—
717	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
718	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
719	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
720	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
721	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
722	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
723	C₂×#168	C₂⁴	1	1	yes	characteristic
724	C₂×#168	C₂⁴	1	1	yes	characteristic
725	C₂×#168	C₂⁴	1	1	yes	characteristic
726	C₂×#168	C₂⁴	1	1	yes	characteristic
727	Dic₂₀	—	2	2	no	—
728	D₄₀	—	2	2	no	—
729	#677	—	2	2	no	—
730	#677	—	2	2	no	—
731	C₈×D₅	—	2	2	no	—
732	C₈×D₅	—	2	2	no	—
733	C₈×D₅	—	2	2	no	—
734	C₈×D₅	—	2	2	no	—
735	C₂²×#41	—	5	1	no	—
736	C₂²×Q₁₆	—	5	1	no	—
737	C₂²×SD₁₆	—	5	1	no	—
738	C₂²×SD₁₆	—	5	1	no	—
739	C₂²×D₈	—	5	1	no	—
740	#542	—	5	1	no	—
741	#542	—	5	1	no	—
742	#542	—	5	1	no	—
743	#542	—	5	1	no	—
744	#542	—	5	1	no	—
745	#542	—	5	1	no	—
746	#542	—	5	1	no	—
747	#542	—	10	1	no	—
748	#542	—	10	1	no	—
749	#542	—	10	1	no	—
750	#542	—	10	1	no	—
751	#542	C₂×D₅	1	1	yes	characteristic, complemented
752	C₂×C₄⋊Q₈	—	5	1	no	—
753	C₂×#126	—	10	1	no	—
754	C₂×#124	—	5	1	no	—
755	C₂×#124	—	10	1	no	—
756	C₂×#123	—	10	1	no	—
757	C₂×C₂²⋊Q₈	—	5	1	no	—
758	C₂×C₂²⋊Q₈	—	10	1	no	—
759	C₂×#121	—	5	1	no	—
760	#520	—	5	1	no	—
761	#520	—	5	1	no	—
762	#520	—	5	1	no	—
763	#520	—	5	1	no	—
764	#520	—	5	1	no	—
765	#520	—	5	1	no	—
766	#520	—	5	1	no	—
767	#520	—	10	1	no	—
768	#520	—	10	1	no	—
769	#520	—	10	1	no	—
770	#520	—	10	1	no	—
771	#520	C₂×D₅	1	1	yes	characteristic, complemented
772	C₂×C₄×Q₈	—	5	1	no	—
773	C₂×C₄×Q₈	—	5	1	no	—
774	C₂×C₄×Q₈	—	5	1	no	—
775	C₂×C₄×D₄	—	5	1	no	—
776	C₂×C₄×D₄	—	5	1	no	—
777	C₂×C₄×D₄	—	5	1	no	—
778	C₂×C₄×D₄	—	10	1	no	—
779	C₂×C₄×D₄	—	10	1	no	—
780	C₂×#117	—	5	1	no	—
781	C₂×#117	—	10	1	no	—
782	C₂²×C₄⋊C₄	—	5	1	no	—
783	C₂²×C₄⋊C₄	—	10	1	no	—
784	#484	—	5	1	no	—
785	#484	—	5	1	no	—
786	#484	—	5	1	no	—
787	#484	—	5	1	no	—
788	#484	—	5	1	no	—
789	#484	—	5	1	no	—
790	#484	—	5	1	no	—
791	#484	C₂×D₅	1	1	yes	characteristic, complemented
792	#480	—	5	1	no	—
793	#480	—	5	1	no	—
794	#480	—	5	1	no	—
795	#480	—	5	1	no	—
796	#480	—	5	1	no	—
797	#480	—	5	1	no	—
798	#480	—	5	1	no	—
799	#480	C₂×D₅	1	1	yes	characteristic, complemented
800	#477	—	5	1	no	—
801	#477	—	5	1	no	—
802	#477	—	5	1	no	—
803	#477	—	5	1	no	—
804	#477	—	5	1	no	—
805	#477	—	5	1	no	—
806	#477	—	5	1	no	—
807	#477	C₂×D₅	1	1	yes	characteristic, complemented
808	#474	—	5	1	no	—
809	#474	—	5	1	no	—
810	#474	—	5	1	no	—
811	#474	—	5	1	no	—
812	#474	—	5	1	no	—
813	#474	—	5	1	no	—
814	#474	—	5	1	no	—
815	#474	C₂×D₅	1	1	yes	characteristic, complemented
816	#464	—	5	1	no	—
817	#464	—	5	1	no	—
818	#464	—	5	1	no	—
819	#464	—	5	1	no	—
820	#464	—	5	1	no	—
821	#464	—	5	1	no	—
822	#464	—	5	1	no	—
823	#464	C₂×D₅	1	1	yes	characteristic, complemented
824	#463	—	5	1	no	—
825	#463	—	5	1	no	—
826	#463	—	5	1	no	—
827	#463	—	5	1	no	—
828	#463	—	5	1	no	—
829	#463	—	5	1	no	—
830	#463	—	5	1	no	—
831	#463	C₂×D₅	1	1	yes	characteristic, complemented
832	#452	—	5	1	no	—
833	#452	—	5	1	no	—
834	#452	—	5	1	no	—
835	#452	—	5	1	no	—
836	#452	—	5	1	no	—
837	#452	—	5	1	no	—
838	#452	—	5	1	no	—
839	#452	C₂×D₅	1	1	yes	characteristic, complemented
840	#449	—	5	1	no	—
841	#449	—	5	1	no	—
842	#449	—	5	1	no	—
843	#449	—	5	1	no	—
844	#449	—	5	1	no	—
845	#449	—	5	1	no	—
846	#449	—	5	1	no	—
847	#449	C₂×D₅	1	1	yes	characteristic
848	#440	—	5	1	no	—
849	#440	—	5	1	no	—
850	#440	—	5	1	no	—
851	#440	—	5	1	no	—
852	#440	—	5	1	no	—
853	#440	—	5	1	no	—
854	#440	—	5	1	no	—
855	#440	—	5	1	no	—
856	#440	—	5	1	no	—
857	#440	—	5	1	no	—
858	#440	—	5	1	no	—
859	#440	—	5	1	no	—
860	#440	—	5	1	no	—
861	#440	—	5	1	no	—
862	#440	C₂×D₅	1	1	yes	characteristic, complemented
863	#440	C₂×D₅	1	1	yes	characteristic, complemented
864	C₄×Q₁₆	—	5	1	no	—
865	C₄×Q₁₆	—	5	1	no	—
866	C₄×Q₁₆	—	5	1	no	—
867	C₄×Q₁₆	—	5	1	no	—
868	C₄×Q₁₆	—	5	1	no	—
869	C₄×Q₁₆	—	5	1	no	—
870	C₄×Q₁₆	—	5	1	no	—
871	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic, complemented
872	C₄×D₈	—	5	1	no	—
873	C₄×D₈	—	5	1	no	—
874	C₄×D₈	—	5	1	no	—
875	C₄×D₈	—	5	1	no	—
876	C₄×D₈	—	5	1	no	—
877	C₄×D₈	—	5	1	no	—
878	C₄×D₈	—	5	1	no	—
879	C₄×D₈	C₂×D₅	1	1	yes	characteristic, complemented
880	#433	—	5	1	no	—
881	#433	—	5	1	no	—
882	#433	—	5	1	no	—
883	#433	—	5	1	no	—
884	#433	—	5	1	no	—
885	#433	—	5	1	no	—
886	#433	—	5	1	no	—
887	#433	C₂×D₅	1	1	yes	characteristic, complemented
888	C₂×#107	—	5	1	no	—
889	C₂×#107	—	5	1	no	—
890	C₂×#107	—	5	1	no	—
891	C₂×#107	—	5	1	no	—
892	C₂×C₄⋊C₈	—	5	1	no	—
893	C₂×C₄⋊C₈	—	5	1	no	—
894	C₂×#103	—	5	1	no	—
895	C₂×#103	—	5	1	no	—
896	C₂×#103	—	5	1	no	—
897	C₂×#103	—	5	1	no	—
898	C₂×#102	—	5	1	no	—
899	C₂×#102	—	5	1	no	—
900	C₂×#102	—	5	1	no	—
901	C₂×#102	—	5	1	no	—
902	C₂×C₂²⋊C₈	—	5	1	no	—
903	C₂×C₂²⋊C₈	—	5	1	no	—
904	C₂×#97	—	5	1	no	—
905	C₂×C₄×C₈	—	5	1	no	—
906	C₂³×C₅	—	2	1	no	—
907	C₂³×C₅	—	2	1	no	—
908	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
909	C₂²×D₅	—	2	1	no	—
910	C₂²×D₅	—	2	2	no	—
911	C₂²×D₅	—	2	4	no	—
912	C₂²×D₅	—	2	2	no	—
913	C₂²×D₅	—	2	2	no	—
914	C₂²×D₅	—	2	1	no	—
915	C₂²×D₅	—	4	2	no	—
916	C₂²×D₅	—	4	2	no	—
917	C₂²×D₅	—	4	2	no	—
918	C₂²×D₅	—	4	2	no	—
919	C₂²×D₅	—	4	2	no	—
920	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
921	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
922	C₅×Q₈	—	2	1	no	—
923	C₅×Q₈	—	2	1	no	—
924	C₅×Q₈	—	2	1	no	—
925	C₅×Q₈	—	8	1	no	—
926	C₅×Q₈	C₂×#41	1	2	yes	—
927	C₅×D₄	—	2	4	no	—
928	C₅×D₄	—	2	1	no	—
929	C₅×D₄	—	2	1	no	—
930	C₅×D₄	—	2	1	no	—
931	C₅×D₄	—	8	1	no	—
932	C₅×D₄	C₂×#41	1	2	yes	—
933	C₂×C₄×C₅	—	2	4	no	—
934	C₂×C₄×C₅	—	2	1	no	—
935	C₂×C₄×C₅	—	2	1	no	—
936	C₂×C₄×C₅	—	2	1	no	—
937	C₂×C₄×C₅	—	2	1	no	—
938	C₂×C₄×C₅	—	2	1	no	—
939	C₂×C₄×C₅	—	2	1	no	—
940	C₂×C₄×C₅	—	2	1	no	—
941	C₂×C₄×C₅	—	2	1	no	—
942	C₂×C₄×C₅	—	8	1	no	—
943	C₂×C₄×C₅	—	8	1	no	—
944	C₂×C₄×C₅	—	8	1	no	—
945	C₂×C₄×C₅	—	8	1	no	—
946	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
947	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
948	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
949	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
950	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
951	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
952	C₂²⋊D₅	—	2	4	no	—
953	C₂²⋊D₅	—	2	4	no	—
954	C₂²⋊D₅	—	2	4	no	—
955	C₂²⋊D₅	—	4	2	no	—
956	C₂²⋊D₅	—	8	1	no	—
957	C₂²⋊D₅	—	8	1	no	—
958	C₂×Dic₅	—	2	4	no	—
959	C₂×Dic₅	—	2	1	no	—
960	C₂×Dic₅	—	2	2	no	—
961	C₂×Dic₅	—	2	1	no	—
962	C₂×Dic₅	—	2	1	no	—
963	C₂×Dic₅	—	2	1	no	—
964	C₂×Dic₅	—	2	1	no	—
965	C₂×Dic₅	—	2	1	no	—
966	C₂×Dic₅	—	8	1	no	—
967	C₂×Dic₅	—	8	1	no	—
968	C₂×Dic₅	—	8	1	no	—
969	C₂×Dic₅	—	8	1	no	—
970	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
971	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
972	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
973	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
974	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
975	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
976	D₂₀	—	2	4	no	—
977	D₂₀	—	2	1	no	—
978	D₂₀	—	2	1	no	—
979	D₂₀	—	2	1	no	—
980	D₂₀	—	8	1	no	—
981	D₂₀	C₂×#41	1	2	yes	—
982	C₄×D₅	—	2	4	no	—
983	C₄×D₅	—	2	4	no	—
984	C₄×D₅	—	2	2	no	—
985	C₄×D₅	—	2	4	no	—
986	C₄×D₅	—	2	2	no	—
987	C₄×D₅	—	2	2	no	—
988	C₄×D₅	—	2	2	no	—
989	C₄×D₅	—	2	2	no	—
990	C₄×D₅	—	2	1	no	—
991	C₄×D₅	—	2	1	no	—
992	C₄×D₅	—	2	2	no	—
993	C₄×D₅	—	4	2	no	—
994	C₄×D₅	—	4	2	no	—
995	C₄×D₅	—	4	2	no	—
996	C₄×D₅	—	4	2	no	—
997	C₄×D₅	—	4	2	no	—
998	C₄×D₅	—	8	1	no	—
999	C₄×D₅	—	8	1	no	—
1000	C₄×D₅	—	8	1	no	—
1001	C₄×D₅	—	8	1	no	—
1002	C₄×D₅	—	8	1	no	—
1003	C₄×D₅	—	8	1	no	—
1004	C₄×D₅	—	8	1	no	—
1005	C₄×D₅	—	8	1	no	—
1006	C₄×D₅	C₂×#41	1	2	yes	—
1007	C₄×D₅	C₂×#41	1	2	yes	—
1008	Dic₁₀	—	2	1	no	—
1009	Dic₁₀	—	2	4	no	—
1010	Dic₁₀	—	2	1	no	—
1011	Dic₁₀	—	2	1	no	—
1012	Dic₁₀	—	4	2	no	—
1013	Dic₁₀	—	8	1	no	—
1014	Dic₁₀	—	8	1	no	—
1015	Dic₁₀	—	8	1	no	—
1016	Dic₁₀	C₂×#41	1	2	yes	—
1017	C₅×C₈	—	2	1	no	—
1018	C₅×C₈	—	2	1	no	—
1019	C₅×C₈	—	2	1	no	—
1020	C₅×C₈	—	2	1	no	—
1021	#168	—	2	1	no	—
1022	#168	—	2	1	no	—
1023	#168	—	2	1	no	—
1024	#168	—	2	1	no	—
1025	C₂×#41	—	5	1	no	—
1026	C₂×#41	—	5	1	no	—
1027	C₂×#41	—	5	1	no	—
1028	C₂×#41	—	10	1	no	—
1029	C₂×#41	—	10	1	no	—
1030	C₂×#41	—	10	4	no	—
1031	C₂×#41	—	10	4	no	—
1032	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1033	C₂²×Q₈	—	5	1	no	—
1034	C₂²×Q₈	—	5	1	no	—
1035	C₂²×Q₈	—	10	1	no	—
1036	C₂²×D₄	—	5	1	no	—
1037	C₂²×D₄	—	5	1	no	—
1038	C₂²×D₄	—	10	1	no	—
1039	C₂²×D₄	—	10	1	no	—
1040	C₂³×C₄	—	5	1	no	—
1041	C₂³×C₄	—	10	1	no	—
1042	C₂³×C₄	—	10	1	no	—
1043	C₂³×C₄	—	10	1	no	—
1044	C₂³×C₄	—	10	1	no	—
1045	C₂³×C₄	—	10	1	no	—
1046	C₂×Q₁₆	—	5	1	no	—
1047	C₂×Q₁₆	—	5	1	no	—
1048	C₂×Q₁₆	—	5	1	no	—
1049	C₂×Q₁₆	—	10	4	no	—
1050	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1051	C₂×SD₁₆	—	5	1	no	—
1052	C₂×SD₁₆	—	5	1	no	—
1053	C₂×SD₁₆	—	5	1	no	—
1054	C₂×SD₁₆	—	5	1	no	—
1055	C₂×SD₁₆	—	5	1	no	—
1056	C₂×SD₁₆	—	5	1	no	—
1057	C₂×SD₁₆	—	10	4	no	—
1058	C₂×SD₁₆	—	10	4	no	—
1059	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1060	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1061	C₂×D₈	—	5	1	no	—
1062	C₂×D₈	—	5	1	no	—
1063	C₂×D₈	—	5	1	no	—
1064	C₂×D₈	—	10	4	no	—
1065	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1066	C₂²×C₈	—	5	1	no	—
1067	C₂²×C₈	—	5	1	no	—
1068	C₂²×C₈	—	5	1	no	—
1069	C₂²×C₈	—	5	1	no	—
1070	C₄⋊Q₈	—	5	1	no	—
1071	C₄⋊Q₈	—	5	1	no	—
1072	C₄⋊Q₈	—	5	1	no	—
1073	C₄⋊Q₈	—	10	1	no	—
1074	C₄⋊Q₈	—	10	1	no	—
1075	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1076	#126	—	2	1	no	—
1077	#126	—	10	1	no	—
1078	#126	—	10	1	no	—
1079	#126	—	10	1	no	—
1080	#126	—	10	1	no	—
1081	#126	—	10	1	no	—
1082	#126	—	10	1	no	—
1083	#126	—	10	1	no	—
1084	#124	—	2	1	no	—
1085	#124	—	5	1	no	—
1086	#124	—	5	1	no	—
1087	#124	—	5	1	no	—
1088	#124	—	10	1	no	—
1089	#124	—	10	1	no	—
1090	#124	—	10	1	no	—
1091	#124	—	10	1	no	—
1092	#124	—	10	1	no	—
1093	#124	—	10	1	no	—
1094	#124	—	10	1	no	—
1095	#124	—	10	1	no	—
1096	#124	—	10	1	no	—
1097	#124	C₂²×D₅	1	1	yes	characteristic
1098	#123	—	2	1	no	—
1099	#123	—	10	1	no	—
1100	#123	—	10	1	no	—
1101	#123	—	10	1	no	—
1102	#123	—	10	1	no	—
1103	#123	—	10	1	no	—
1104	#123	—	10	1	no	—
1105	#123	—	10	1	no	—
1106	C₂²⋊Q₈	—	2	1	no	—
1107	C₂²⋊Q₈	—	5	1	no	—
1108	C₂²⋊Q₈	—	5	1	no	—
1109	C₂²⋊Q₈	—	5	1	no	—
1110	C₂²⋊Q₈	—	10	1	no	—
1111	C₂²⋊Q₈	—	10	1	no	—
1112	C₂²⋊Q₈	—	10	1	no	—
1113	C₂²⋊Q₈	—	10	1	no	—
1114	C₂²⋊Q₈	—	10	1	no	—
1115	C₂²⋊Q₈	—	10	1	no	—
1116	C₂²⋊Q₈	—	10	1	no	—
1117	C₂²⋊Q₈	—	10	1	no	—
1118	C₂²⋊Q₈	—	10	1	no	—
1119	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1120	#121	—	5	1	no	—
1121	#121	—	5	1	no	—
1122	#121	—	5	1	no	—
1123	#121	—	10	1	no	—
1124	#121	—	10	1	no	—
1125	#121	C₂²×D₅	1	1	yes	characteristic
1126	C₄×Q₈	—	5	1	no	—
1127	C₄×Q₈	—	5	1	no	—
1128	C₄×Q₈	—	5	1	no	—
1129	C₄×Q₈	—	5	1	no	—
1130	C₄×Q₈	—	5	1	no	—
1131	C₄×Q₈	—	5	1	no	—
1132	C₄×Q₈	—	5	1	no	—
1133	C₄×Q₈	—	5	1	no	—
1134	C₄×Q₈	—	5	1	no	—
1135	C₄×Q₈	—	10	1	no	—
1136	C₄×Q₈	—	10	1	no	—
1137	C₄×Q₈	—	10	1	no	—
1138	C₄×Q₈	—	10	1	no	—
1139	C₄×Q₈	—	10	1	no	—
1140	C₄×Q₈	—	10	1	no	—
1141	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1142	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1143	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1144	C₄×D₄	—	2	1	no	—
1145	C₄×D₄	—	2	1	no	—
1146	C₄×D₄	—	5	1	no	—
1147	C₄×D₄	—	5	1	no	—
1148	C₄×D₄	—	5	1	no	—
1149	C₄×D₄	—	5	1	no	—
1150	C₄×D₄	—	5	1	no	—
1151	C₄×D₄	—	5	1	no	—
1152	C₄×D₄	—	5	1	no	—
1153	C₄×D₄	—	5	1	no	—
1154	C₄×D₄	—	5	1	no	—
1155	C₄×D₄	—	10	1	no	—
1156	C₄×D₄	—	10	1	no	—
1157	C₄×D₄	—	10	1	no	—
1158	C₄×D₄	—	10	1	no	—
1159	C₄×D₄	—	10	1	no	—
1160	C₄×D₄	—	10	1	no	—
1161	C₄×D₄	—	10	1	no	—
1162	C₄×D₄	—	10	1	no	—
1163	C₄×D₄	—	10	1	no	—
1164	C₄×D₄	—	10	1	no	—
1165	C₄×D₄	—	10	1	no	—
1166	C₄×D₄	—	10	1	no	—
1167	C₄×D₄	—	10	1	no	—
1168	C₄×D₄	—	10	1	no	—
1169	C₄×D₄	—	10	1	no	—
1170	C₄×D₄	—	10	1	no	—
1171	C₄×D₄	—	10	1	no	—
1172	C₄×D₄	—	10	1	no	—
1173	C₄×D₄	—	10	1	no	—
1174	C₄×D₄	—	10	1	no	—
1175	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1176	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1177	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1178	#117	—	2	1	no	—
1179	#117	—	5	1	no	—
1180	#117	—	5	1	no	—
1181	#117	—	5	1	no	—
1182	#117	—	5	1	no	—
1183	#117	—	5	1	no	—
1184	#117	—	5	1	no	—
1185	#117	—	5	1	no	—
1186	#117	—	10	1	no	—
1187	#117	—	10	1	no	—
1188	#117	—	10	1	no	—
1189	#117	—	10	1	no	—
1190	#117	—	10	1	no	—
1191	#117	—	10	1	no	—
1192	#117	—	10	1	no	—
1193	#117	C₂²×D₅	1	1	yes	characteristic
1194	C₂×C₄⋊C₄	—	2	1	no	—
1195	C₂×C₄⋊C₄	—	5	1	no	—
1196	C₂×C₄⋊C₄	—	5	1	no	—
1197	C₂×C₄⋊C₄	—	5	1	no	—
1198	C₂×C₄⋊C₄	—	5	1	no	—
1199	C₂×C₄⋊C₄	—	5	1	no	—
1200	C₂×C₄⋊C₄	—	5	1	no	—
1201	C₂×C₄⋊C₄	—	5	1	no	—
1202	C₂×C₄⋊C₄	—	5	1	no	—
1203	C₂×C₄⋊C₄	—	5	1	no	—
1204	C₂×C₄⋊C₄	—	10	1	no	—
1205	C₂×C₄⋊C₄	—	10	1	no	—
1206	C₂×C₄⋊C₄	—	10	1	no	—
1207	C₂×C₄⋊C₄	—	10	1	no	—
1208	C₂×C₄⋊C₄	—	10	1	no	—
1209	C₂×C₄⋊C₄	—	10	1	no	—
1210	C₂×C₄⋊C₄	—	10	1	no	—
1211	C₂×C₄⋊C₄	—	10	1	no	—
1212	C₂×C₄⋊C₄	—	10	1	no	—
1213	C₂×C₄⋊C₄	—	10	1	no	—
1214	C₂×C₄⋊C₄	—	10	1	no	—
1215	C₂×C₄⋊C₄	—	10	1	no	—
1216	C₂×C₄⋊C₄	—	10	1	no	—
1217	C₂×C₄⋊C₄	—	10	1	no	—
1218	C₂×C₄⋊C₄	—	10	1	no	—
1219	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1220	C₂×C₂²⋊C₄	—	5	1	no	—
1221	C₂×C₂²⋊C₄	—	5	1	no	—
1222	C₂×C₂²⋊C₄	—	10	1	no	—
1223	C₂×C₂²⋊C₄	—	10	1	no	—
1224	C₂×C₂²⋊C₄	—	10	1	no	—
1225	C₂×C₂²⋊C₄	—	10	1	no	—
1226	C₂×C₂²⋊C₄	—	10	1	no	—
1227	C₂×C₂²⋊C₄	—	10	1	no	—
1228	C₂×C₂²⋊C₄	—	10	1	no	—
1229	C₂×C₄²	—	5	1	no	—
1230	C₂×C₄²	—	5	1	no	—
1231	C₂×C₄²	—	10	1	no	—
1232	C₂×C₄²	—	10	1	no	—
1233	C₂×C₄²	—	10	1	no	—
1234	#107	—	5	1	no	—
1235	#107	—	5	1	no	—
1236	#107	—	5	1	no	—
1237	#107	—	5	1	no	—
1238	#107	—	5	1	no	—
1239	#107	—	5	1	no	—
1240	#107	—	5	1	no	—
1241	#107	—	5	1	no	—
1242	#107	—	5	1	no	—
1243	#107	—	5	1	no	—
1244	#107	—	5	1	no	—
1245	#107	—	5	1	no	—
1246	#107	C₂²×D₅	1	1	yes	characteristic
1247	#107	C₂²×D₅	1	1	yes	characteristic
1248	#107	C₂²×D₅	1	1	yes	characteristic
1249	#107	C₂²×D₅	1	1	yes	characteristic
1250	C₄⋊C₈	—	5	1	no	—
1251	C₄⋊C₈	—	5	1	no	—
1252	C₄⋊C₈	—	5	1	no	—
1253	C₄⋊C₈	—	5	1	no	—
1254	C₄⋊C₈	—	5	1	no	—
1255	C₄⋊C₈	—	5	1	no	—
1256	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1257	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1258	#103	—	5	1	no	—
1259	#103	—	5	1	no	—
1260	#103	—	5	1	no	—
1261	#103	—	5	1	no	—
1262	#103	—	5	1	no	—
1263	#103	—	5	1	no	—
1264	#103	—	5	1	no	—
1265	#103	—	5	1	no	—
1266	#103	—	5	1	no	—
1267	#103	—	5	1	no	—
1268	#103	—	5	1	no	—
1269	#103	—	5	1	no	—
1270	#103	C₂²×D₅	1	1	yes	characteristic
1271	#103	C₂²×D₅	1	1	yes	characteristic
1272	#103	C₂²×D₅	1	1	yes	characteristic
1273	#103	C₂²×D₅	1	1	yes	characteristic
1274	#102	—	5	1	no	—
1275	#102	—	5	1	no	—
1276	#102	—	5	1	no	—
1277	#102	—	5	1	no	—
1278	#102	—	5	1	no	—
1279	#102	—	5	1	no	—
1280	#102	—	5	1	no	—
1281	#102	—	5	1	no	—
1282	#102	—	5	1	no	—
1283	#102	—	5	1	no	—
1284	#102	—	5	1	no	—
1285	#102	—	5	1	no	—
1286	#102	C₂²×D₅	1	1	yes	characteristic
1287	#102	C₂²×D₅	1	1	yes	characteristic
1288	#102	C₂²×D₅	1	1	yes	characteristic
1289	#102	C₂²×D₅	1	1	yes	characteristic
1290	C₂²⋊C₈	—	5	1	no	—
1291	C₂²⋊C₈	—	5	1	no	—
1292	C₂²⋊C₈	—	5	1	no	—
1293	C₂²⋊C₈	—	5	1	no	—
1294	C₂²⋊C₈	—	5	1	no	—
1295	C₂²⋊C₈	—	5	1	no	—
1296	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1297	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1298	#97	—	5	1	no	—
1299	#97	—	5	1	no	—
1300	#97	—	5	1	no	—
1301	#97	C₂²×D₅	1	1	yes	characteristic
1302	C₄×C₈	—	5	1	no	—
1303	C₄×C₈	—	5	1	no	—
1304	C₄×C₈	—	5	1	no	—
1305	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1306	C₂²×C₅	—	2	1	no	—
1307	C₂²×C₅	—	2	2	no	—
1308	C₂²×C₅	—	2	1	no	—
1309	C₂²×C₅	—	2	1	no	—
1310	C₂²×C₅	—	4	1	no	—
1311	C₂²×C₅	—	4	1	no	—
1312	C₂²×C₅	—	4	1	no	—
1313	C₂²×C₅	—	4	1	no	—
1314	C₂²×C₅	—	4	1	no	—
1315	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1316	C₂×D₅	—	2	1	no	—
1317	C₂×D₅	—	2	2	no	—
1318	C₂×D₅	—	2	1	no	—
1319	C₂×D₅	—	2	1	no	—
1320	C₂×D₅	—	4	1	no	—
1321	C₂×D₅	—	4	1	no	—
1322	C₂×D₅	—	4	4	no	—
1323	C₂×D₅	—	4	8	no	—
1324	C₂×D₅	—	4	1	no	—
1325	C₂×D₅	—	4	1	no	—
1326	C₂×D₅	—	4	1	no	—
1327	C₂×D₅	—	8	4	no	—
1328	C₂×D₅	#525	1	2	yes	—
1329	C₂×D₅	#576	1	2	yes	—
1330	C₂×D₅	#578	1	2	yes	—
1331	C₄×C₅	—	2	2	no	—
1332	C₄×C₅	—	2	1	no	—
1333	C₄×C₅	—	2	1	no	—
1334	C₄×C₅	—	2	1	no	—
1335	C₄×C₅	—	2	1	no	—
1336	C₄×C₅	—	2	1	no	—
1337	C₄×C₅	—	4	1	no	—
1338	C₄×C₅	—	4	1	no	—
1339	C₄×C₅	—	4	1	no	—
1340	C₄×C₅	—	4	1	no	—
1341	C₄×C₅	—	4	1	no	—
1342	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1343	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1344	Dic₅	—	2	2	no	—
1345	Dic₅	—	2	1	no	—
1346	Dic₅	—	2	1	no	—
1347	Dic₅	—	2	1	no	—
1348	Dic₅	—	2	1	no	—
1349	Dic₅	—	2	1	no	—
1350	Dic₅	—	4	1	no	—
1351	Dic₅	—	4	1	no	—
1352	Dic₅	—	4	1	no	—
1353	Dic₅	—	4	1	no	—
1354	Dic₅	—	4	1	no	—
1355	Dic₅	#525	1	2	yes	—
1356	C₂⁴	—	5	1	no	—
1357	C₂⁴	—	10	1	no	—
1358	C₂⁴	—	10	1	no	—
1359	#41	—	2	2	no	—
1360	#41	—	2	2	no	—
1361	#41	—	10	2	no	—
1362	#41	—	10	2	no	—
1363	#41	—	10	8	no	—
1364	#41	—	10	2	no	—
1365	#41	—	10	8	no	—
1366	#41	—	10	2	no	—
1367	#41	—	10	2	no	—
1368	#41	—	10	2	no	—
1369	C₂×Q₈	—	2	1	no	—
1370	C₂×Q₈	—	5	4	no	—
1371	C₂×Q₈	—	5	1	no	—
1372	C₂×Q₈	—	5	1	no	—
1373	C₂×Q₈	—	10	1	no	—
1374	C₂×Q₈	—	10	1	no	—
1375	C₂×Q₈	—	10	1	no	—
1376	C₂×Q₈	—	10	1	no	—
1377	C₂×Q₈	—	10	2	no	—
1378	C₂×Q₈	—	10	2	no	—
1379	C₂×Q₈	—	10	2	no	—
1380	C₂×Q₈	—	10	1	no	—
1381	C₂×Q₈	—	40	2	no	—
1382	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1383	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1384	C₂×D₄	—	2	1	no	—
1385	C₂×D₄	—	2	1	no	—
1386	C₂×D₄	—	5	4	no	—
1387	C₂×D₄	—	5	1	no	—
1388	C₂×D₄	—	5	1	no	—
1389	C₂×D₄	—	10	1	no	—
1390	C₂×D₄	—	10	1	no	—
1391	C₂×D₄	—	10	2	no	—
1392	C₂×D₄	—	10	2	no	—
1393	C₂×D₄	—	10	2	no	—
1394	C₂×D₄	—	10	1	no	—
1395	C₂×D₄	—	10	1	no	—
1396	C₂×D₄	—	10	8	no	—
1397	C₂×D₄	—	10	1	no	—
1398	C₂×D₄	—	10	1	no	—
1399	C₂×D₄	—	10	1	no	—
1400	C₂×D₄	—	10	1	no	—
1401	C₂×D₄	—	40	2	no	—
1402	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1403	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1404	C₂²×C₄	—	2	1	no	—
1405	C₂²×C₄	—	2	1	no	—
1406	C₂²×C₄	—	2	1	no	—
1407	C₂²×C₄	—	2	1	no	—
1408	C₂²×C₄	—	2	1	no	—
1409	C₂²×C₄	—	5	1	no	—
1410	C₂²×C₄	—	5	1	no	—
1411	C₂²×C₄	—	5	1	no	—
1412	C₂²×C₄	—	5	1	no	—
1413	C₂²×C₄	—	5	1	no	—
1414	C₂²×C₄	—	5	1	no	—
1415	C₂²×C₄	—	5	1	no	—
1416	C₂²×C₄	—	5	1	no	—
1417	C₂²×C₄	—	5	1	no	—
1418	C₂²×C₄	—	10	1	no	—
1419	C₂²×C₄	—	10	2	no	—
1420	C₂²×C₄	—	10	2	no	—
1421	C₂²×C₄	—	10	1	no	—
1422	C₂²×C₄	—	10	1	no	—
1423	C₂²×C₄	—	10	1	no	—
1424	C₂²×C₄	—	10	1	no	—
1425	C₂²×C₄	—	10	8	no	—
1426	C₂²×C₄	—	10	1	no	—
1427	C₂²×C₄	—	10	1	no	—
1428	C₂²×C₄	—	10	1	no	—
1429	C₂²×C₄	—	10	1	no	—
1430	C₂²×C₄	—	10	1	no	—
1431	C₂²×C₄	—	10	1	no	—
1432	C₂²×C₄	—	10	1	no	—
1433	C₂²×C₄	—	10	1	no	—
1434	C₂²×C₄	—	10	1	no	—
1435	C₂²×C₄	—	10	1	no	—
1436	C₂²×C₄	—	10	1	no	—
1437	C₂²×C₄	—	10	1	no	—
1438	C₂²×C₄	—	10	1	no	—
1439	C₂²×C₄	—	10	1	no	—
1440	C₂²×C₄	—	10	1	no	—
1441	C₂²×C₄	—	10	1	no	—
1442	C₂²×C₄	—	40	2	no	—
1443	C₂²×C₄	—	40	2	no	—
1444	C₂²×C₄	—	40	2	no	—
1445	C₂²×C₄	—	40	2	no	—
1446	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1447	Q₁₆	—	2	2	no	—
1448	Q₁₆	—	10	2	no	—
1449	Q₁₆	—	10	2	no	—
1450	Q₁₆	—	10	2	no	—
1451	SD₁₆	—	2	2	no	—
1452	SD₁₆	—	2	2	no	—
1453	SD₁₆	—	10	2	no	—
1454	SD₁₆	—	10	2	no	—
1455	SD₁₆	—	10	2	no	—
1456	SD₁₆	—	10	2	no	—
1457	SD₁₆	—	10	2	no	—
1458	SD₁₆	—	10	2	no	—
1459	D₈	—	2	2	no	—
1460	D₈	—	10	2	no	—
1461	D₈	—	10	2	no	—
1462	D₈	—	10	2	no	—
1463	C₂×C₈	—	5	1	no	—
1464	C₂×C₈	—	5	1	no	—
1465	C₂×C₈	—	5	1	no	—
1466	C₂×C₈	—	5	1	no	—
1467	C₂×C₈	—	10	2	no	—
1468	C₂×C₈	—	10	2	no	—
1469	C₂×C₈	—	10	2	no	—
1470	C₂×C₈	—	10	2	no	—
1471	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1472	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1473	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1474	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1475	C₄⋊C₄	—	2	1	no	—
1476	C₄⋊C₄	—	2	1	no	—
1477	C₄⋊C₄	—	2	1	no	—
1478	C₄⋊C₄	—	2	1	no	—
1479	C₄⋊C₄	—	2	1	no	—
1480	C₄⋊C₄	—	2	1	no	—
1481	C₄⋊C₄	—	5	1	no	—
1482	C₄⋊C₄	—	5	1	no	—
1483	C₄⋊C₄	—	5	1	no	—
1484	C₄⋊C₄	—	5	1	no	—
1485	C₄⋊C₄	—	5	1	no	—
1486	C₄⋊C₄	—	5	1	no	—
1487	C₄⋊C₄	—	5	1	no	—
1488	C₄⋊C₄	—	5	1	no	—
1489	C₄⋊C₄	—	5	1	no	—
1490	C₄⋊C₄	—	5	1	no	—
1491	C₄⋊C₄	—	10	1	no	—
1492	C₄⋊C₄	—	10	1	no	—
1493	C₄⋊C₄	—	10	1	no	—
1494	C₄⋊C₄	—	10	1	no	—
1495	C₄⋊C₄	—	10	1	no	—
1496	C₄⋊C₄	—	10	1	no	—
1497	C₄⋊C₄	—	10	1	no	—
1498	C₄⋊C₄	—	10	1	no	—
1499	C₄⋊C₄	—	10	1	no	—
1500	C₄⋊C₄	—	10	1	no	—
1501	C₄⋊C₄	—	10	1	no	—
1502	C₄⋊C₄	—	10	1	no	—
1503	C₄⋊C₄	—	10	1	no	—
1504	C₄⋊C₄	—	10	1	no	—
1505	C₄⋊C₄	—	10	1	no	—
1506	C₄⋊C₄	—	10	1	no	—
1507	C₄⋊C₄	—	10	1	no	—
1508	C₄⋊C₄	—	10	1	no	—
1509	C₄⋊C₄	—	10	1	no	—
1510	C₄⋊C₄	—	10	1	no	—
1511	C₄⋊C₄	—	10	1	no	—
1512	C₄⋊C₄	—	10	1	no	—
1513	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1514	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1515	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1516	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1517	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1518	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	—	2	1	no	—
1523	C₂²⋊C₄	—	2	1	no	—
1524	C₂²⋊C₄	—	2	1	no	—
1525	C₂²⋊C₄	—	2	1	no	—
1526	C₂²⋊C₄	—	5	1	no	—
1527	C₂²⋊C₄	—	5	1	no	—
1528	C₂²⋊C₄	—	5	1	no	—
1529	C₂²⋊C₄	—	5	1	no	—
1530	C₂²⋊C₄	—	5	1	no	—
1531	C₂²⋊C₄	—	5	1	no	—
1532	C₂²⋊C₄	—	10	1	no	—
1533	C₂²⋊C₄	—	10	1	no	—
1534	C₂²⋊C₄	—	10	1	no	—
1535	C₂²⋊C₄	—	10	1	no	—
1536	C₂²⋊C₄	—	10	1	no	—
1537	C₂²⋊C₄	—	10	1	no	—
1538	C₂²⋊C₄	—	10	1	no	—
1539	C₂²⋊C₄	—	10	1	no	—
1540	C₂²⋊C₄	—	10	1	no	—
1541	C₂²⋊C₄	—	10	1	no	—
1542	C₂²⋊C₄	—	10	1	no	—
1543	C₂²⋊C₄	—	10	1	no	—
1544	C₂²⋊C₄	—	10	1	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	D₄×D₅	1	1	yes	characteristic
1554	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1555	C₄²	—	2	1	no	—
1556	C₄²	—	2	1	no	—
1557	C₄²	—	2	1	no	—
1558	C₄²	—	5	1	no	—
1559	C₄²	—	5	1	no	—
1560	C₄²	—	5	1	no	—
1561	C₄²	—	5	1	no	—
1562	C₄²	—	5	1	no	—
1563	C₄²	—	5	1	no	—
1564	C₄²	—	10	1	no	—
1565	C₄²	—	10	1	no	—
1566	C₄²	—	10	1	no	—
1567	C₄²	—	10	1	no	—
1568	C₄²	—	10	1	no	—
1569	C₄²	—	10	1	no	—
1570	C₄²	—	10	1	no	—
1571	C₄²	—	10	1	no	—
1572	C₄²	—	10	1	no	—
1573	C₄²	C₂³×D₅	1	1	yes	characteristic
1574	C₄²	C₂³×D₅	1	1	yes	characteristic
1575	C₂×C₅	—	4	1	no	—
1576	C₂×C₅	—	4	2	no	—
1577	C₂×C₅	—	8	1	no	—
1578	C₂×C₅	C₂×#525	1	1	yes	characteristic
1579	C₂×C₅	C₂×#576	1	1	yes	characteristic
1580	C₂×C₅	C₂×#578	1	1	yes	characteristic
1581	D₅	—	4	1	no	—
1582	D₅	—	4	2	no	—
1583	D₅	—	8	1	no	—
1584	D₅	#3124	1	4	yes	direct product factor
1585	C₂³	—	2	1	no	—
1586	C₂³	—	2	1	no	—
1587	C₂³	—	5	1	no	—
1588	C₂³	—	5	1	no	—
1589	C₂³	—	10	4	no	—
1590	C₂³	—	10	2	no	—
1591	C₂³	—	10	2	no	—
1592	C₂³	—	10	2	no	—
1593	C₂³	—	10	1	no	—
1594	C₂³	—	10	1	no	—
1595	C₂³	—	20	2	no	—
1596	C₂³	—	20	2	no	—
1597	C₂³	—	20	2	no	—
1598	C₂³	—	20	2	no	—
1599	C₂³	—	20	2	no	—
1600	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1601	Q₈	—	2	1	no	—
1602	Q₈	—	2	1	no	—
1603	Q₈	—	2	1	no	—
1604	Q₈	—	5	2	no	—
1605	Q₈	—	8	1	no	—
1606	Q₈	—	10	4	no	—
1607	Q₈	—	10	1	no	—
1608	Q₈	—	10	1	no	—
1609	Q₈	—	10	1	no	—
1610	Q₈	—	20	2	no	—
1611	Q₈	—	40	1	no	—
1612	Q₈	—	40	1	no	—
1613	Q₈	—	40	1	no	—
1614	Q₈	D₅×#41	1	2	yes	—
1615	D₄	—	2	4	no	—
1616	D₄	—	2	1	no	—
1617	D₄	—	2	1	no	—
1618	D₄	—	2	1	no	—
1619	D₄	—	5	2	no	—
1620	D₄	—	8	1	no	—
1621	D₄	—	10	4	no	—
1622	D₄	—	10	4	no	—
1623	D₄	—	10	4	no	—
1624	D₄	—	10	4	no	—
1625	D₄	—	10	1	no	—
1626	D₄	—	10	1	no	—
1627	D₄	—	10	1	no	—
1628	D₄	—	20	2	no	—
1629	D₄	—	40	1	no	—
1630	D₄	—	40	1	no	—
1631	D₄	—	40	1	no	—
1632	D₄	D₅×#41	1	2	yes	—
1633	C₂×C₄	—	2	4	no	—
1634	C₂×C₄	—	2	1	no	—
1635	C₂×C₄	—	2	1	no	—
1636	C₂×C₄	—	2	1	no	—
1637	C₂×C₄	—	2	1	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	5	1	no	—
1643	C₂×C₄	—	5	2	no	—
1644	C₂×C₄	—	5	2	no	—
1645	C₂×C₄	—	5	1	no	—
1646	C₂×C₄	—	5	1	no	—
1647	C₂×C₄	—	5	1	no	—
1648	C₂×C₄	—	5	1	no	—
1649	C₂×C₄	—	5	1	no	—
1650	C₂×C₄	—	8	1	no	—
1651	C₂×C₄	—	8	1	no	—
1652	C₂×C₄	—	8	1	no	—
1653	C₂×C₄	—	8	1	no	—
1654	C₂×C₄	—	10	2	no	—
1655	C₂×C₄	—	10	2	no	—
1656	C₂×C₄	—	10	2	no	—
1657	C₂×C₄	—	10	2	no	—
1658	C₂×C₄	—	10	2	no	—
1659	C₂×C₄	—	10	2	no	—
1660	C₂×C₄	—	10	4	no	—
1661	C₂×C₄	—	10	4	no	—
1662	C₂×C₄	—	10	4	no	—
1663	C₂×C₄	—	10	2	no	—
1664	C₂×C₄	—	10	4	no	—
1665	C₂×C₄	—	10	1	no	—
1666	C₂×C₄	—	10	1	no	—
1667	C₂×C₄	—	10	1	no	—
1668	C₂×C₄	—	10	1	no	—
1669	C₂×C₄	—	10	1	no	—
1670	C₂×C₄	—	10	1	no	—
1671	C₂×C₄	—	10	1	no	—
1672	C₂×C₄	—	10	1	no	—
1673	C₂×C₄	—	20	2	no	—
1674	C₂×C₄	—	20	2	no	—
1675	C₂×C₄	—	20	2	no	—
1676	C₂×C₄	—	20	2	no	—
1677	C₂×C₄	—	20	2	no	—
1678	C₂×C₄	—	40	1	no	—
1679	C₂×C₄	—	40	1	no	—
1680	C₂×C₄	—	40	1	no	—
1681	C₂×C₄	—	40	1	no	—
1682	C₂×C₄	—	40	1	no	—
1683	C₂×C₄	—	40	1	no	—
1684	C₂×C₄	—	40	1	no	—
1685	C₂×C₄	—	40	1	no	—
1686	C₂×C₄	—	40	1	no	—
1687	C₂×C₄	—	40	1	no	—
1688	C₂×C₄	—	40	1	no	—
1689	C₂×C₄	—	40	1	no	—
1690	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1691	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1692	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1693	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1694	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1695	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1696	C₈	—	2	1	no	—
1697	C₈	—	2	1	no	—
1698	C₈	—	2	1	no	—
1699	C₈	—	2	1	no	—
1700	C₈	—	10	1	no	—
1701	C₈	—	10	1	no	—
1702	C₈	—	10	1	no	—
1703	C₈	—	10	1	no	—
1704	C₅	C₂×#3124	1	1	yes	characteristic, complemented, Sylow
1705	C₂²	—	2	1	no	—
1706	C₂²	—	2	2	no	—
1707	C₂²	—	2	1	no	—
1708	C₂²	—	2	1	no	—
1709	C₂²	—	4	1	no	—
1710	C₂²	—	4	1	no	—
1711	C₂²	—	4	1	no	—
1712	C₂²	—	4	1	no	—
1713	C₂²	—	4	1	no	—
1714	C₂²	—	5	2	no	—
1715	C₂²	—	5	2	no	—
1716	C₂²	—	5	2	no	—
1717	C₂²	—	10	2	no	—
1718	C₂²	—	10	1	no	—
1719	C₂²	—	10	1	no	—
1720	C₂²	—	10	1	no	—
1721	C₂²	—	20	4	no	—
1722	C₂²	—	20	8	no	—
1723	C₂²	—	20	1	no	—
1724	C₂²	—	20	1	no	—
1725	C₂²	—	20	1	no	—
1726	C₂²	—	20	1	no	—
1727	C₂²	—	20	1	no	—
1728	C₂²	—	40	4	no	—
1729	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1730	C₄	—	2	1	no	—
1731	C₄	—	2	2	no	—
1732	C₄	—	2	1	no	—
1733	C₄	—	2	1	no	—
1734	C₄	—	2	1	no	—
1735	C₄	—	2	1	no	—
1736	C₄	—	4	1	no	—
1737	C₄	—	4	1	no	—
1738	C₄	—	4	1	no	—
1739	C₄	—	4	1	no	—
1740	C₄	—	4	1	no	—
1741	C₄	—	5	2	no	—
1742	C₄	—	10	1	no	—
1743	C₄	—	10	2	no	—
1744	C₄	—	10	1	no	—
1745	C₄	—	10	1	no	—
1746	C₄	—	10	1	no	—
1747	C₄	—	10	1	no	—
1748	C₄	—	20	1	no	—
1749	C₄	—	20	1	no	—
1750	C₄	—	20	1	no	—
1751	C₄	—	20	1	no	—
1752	C₄	—	20	1	no	—
1753	C₄	C₂×D₅×#41	1	1	yes	characteristic
1754	C₄	C₂×D₅×#41	1	1	yes	characteristic
1755	C₂	—	4	1	no	—
1756	C₂	—	4	2	no	—
1757	C₂	—	5	4	no	—
1758	C₂	—	8	1	no	—
1759	C₂	—	20	1	no	—
1760	C₂	—	20	2	no	—
1761	C₂	—	40	1	no	—
1762	C₂	D₅×#525	1	1	yes	characteristic
1763	C₂	D₅×#576	1	1	yes	characteristic
1764	C₂	D₅×#578	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×#3124	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	D₅×#449	C₂
hypercenter	#3124	D₅
hypocenter	C₅	C₂×#3124
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3124

Complements

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

N	H ≅ G/N	type
1. D₅×#542	C₂	semidirect
2. D₅×#520	C₂	semidirect
3. C₅×#3124	C₂	semidirect
4. #10615192	C₂	semidirect
5. #10614300	C₂	semidirect
6. D₅×#484	C₂	semidirect
7. #10613188	C₂	semidirect
8. D₅×#480	C₂	semidirect
9. #10613004	C₂	semidirect
10. D₅×#477	C₂	semidirect
11. #10612828	C₂	semidirect
12. D₅×#474	C₂	semidirect
13. #10612684	C₂	semidirect
14. D₅×#464	C₂	semidirect
15. #10612305	C₂	semidirect
16. D₅×#463	C₂	semidirect
17. #10612241	C₂	semidirect
18. D₅×#452	C₂	semidirect
19. #10611949	C₂	semidirect
21. #10611805	C₂	semidirect
22. #10611544	C₂	semidirect
23. #10611519	C₂	semidirect
24. D₅×#440	C₂	semidirect
25. D₅×#440	C₂	semidirect
26. #10611480	C₂	semidirect
27. C₄×D₅×Q₁₆	C₂	semidirect
28. #10611328	C₂	semidirect
29. C₄×D₅×D₈	C₂	semidirect
30. #10611119	C₂	semidirect
31. D₅×#433	C₂	semidirect
33. C₅×#542	C₂²	semidirect
34. C₅×#520	C₂²	semidirect
35. #66161	C₂²	semidirect
40. #66067	C₂²	semidirect
44. #66016	C₂²	semidirect
50. #65977	C₂²	semidirect
55. #65937	C₂²	semidirect
56. #65916	C₂²	semidirect
57. #65908	C₂²	semidirect
58. #65908	C₂²	semidirect
62. #65895	C₂²	semidirect
65. #65880	C₂²	semidirect
66. #65880	C₂²	semidirect
72. #65868	C₂²	semidirect
74. #65857	C₂²	semidirect
78. #65838	C₂²	semidirect
81. C₅×#484	C₂²	semidirect
82. C₅×#480	C₂²	semidirect
83. C₅×#477	C₂²	semidirect
84. C₅×#474	C₂²	semidirect
85. C₅×#464	C₂²	semidirect
86. C₅×#463	C₂²	semidirect
87. C₅×#452	C₂²	semidirect
89. C₅×#440	C₂²	semidirect
90. C₅×#440	C₂²	semidirect
91. C₄×C₅×Q₁₆	C₂²	semidirect
92. C₄×C₅×D₈	C₂²	semidirect
93. C₅×#433	C₂²	semidirect
94. #65528	C₂²	semidirect
96. #65476	C₂²	semidirect
97. #65474	C₂²	semidirect
98. Q₁₆×Dic₅	C₂²	semidirect
99. #65462	C₂²	semidirect
101. #65455	C₂²	semidirect
102. #65454	C₂²	semidirect
103. #65453	C₂²	semidirect
104. #65453	C₂²	semidirect
106. #65442	C₂²	semidirect
107. D₈×Dic₅	C₂²	semidirect
108. #65380	C₂²	semidirect
109. #65376	C₂²	semidirect
110. #65346	C₂²	semidirect
111. #65343	C₂²	semidirect
112. #65336	C₂²	semidirect
113. #65333	C₂²	semidirect
115. #65322	C₂²	semidirect
116. C₄×#689	C₂²	semidirect
117. C₄×#689	C₂²	semidirect
118. #65317	C₂²	semidirect
119. #65315	C₂²	semidirect
120. #65315	C₂²	semidirect
121. #65310	C₂²	semidirect
122. #65307	C₂²	semidirect
123. #65307	C₂²	semidirect
124. #65305	C₂²	semidirect
125. C₄×#686	C₂²	semidirect
126. C₄×#686	C₂²	semidirect
127. #65296	C₂²	semidirect
128. #65289	C₂²	semidirect
129. #65259	C₂²	semidirect
130. #65256	C₂²	semidirect
131. #65179	C₂²	semidirect
132. #65179	C₂²	semidirect
133. #65178	C₂²	semidirect
134. #65178	C₂²	semidirect
135. #65173	C₂²	semidirect
136. #65173	C₂²	semidirect
137. #65171	C₂²	semidirect
138. #65171	C₂²	semidirect
143. #65164	C₂²	semidirect
144. #65164	C₂²	semidirect
145. #65162	C₂²	semidirect
146. #65161	C₂²	semidirect
147. #65139	C₂²	semidirect
148. #65135	C₂²	semidirect
149. #65134	C₂²	semidirect
150. #65133	C₂²	semidirect
151. #65129	C₂²	semidirect
152. #65129	C₂²	semidirect
155. #65108	C₂²	semidirect
156. #65106	C₂²	semidirect
157. #65106	C₂²	semidirect
159. #65099	C₂²	semidirect
160. #65098	C₂²	semidirect
161. #65098	C₂²	semidirect
166. #65087	C₂²	semidirect
167. #65083	C₂²	semidirect
168. #65083	C₂²	semidirect
169. #65079	C₂²	semidirect
170. #65079	C₂²	semidirect
171. #65076	C₂²	semidirect
172. #65072	C₂²	semidirect
174. #65063	C₂²	semidirect
175. #65063	C₂²	semidirect
180. #65056	C₂²	semidirect
181. #65048	C₂²	semidirect
182. #65048	C₂²	semidirect
183. #65046	C₂²	semidirect
184. #65046	C₂²	semidirect
185. #65045	C₂²	semidirect
186. #65045	C₂²	semidirect
187. #65025	C₂²	semidirect
189. #65022	C₂²	semidirect
192. #65011	C₂²	semidirect
193. #65009	C₂²	semidirect
194. #65009	C₂²	semidirect
195. #64999	C₂²	semidirect
196. #64999	C₂²	semidirect
197. #64998	C₂²	semidirect
199. C₄×Dic₂₀	C₂²	semidirect
200. C₄×D₄₀	C₂²	semidirect
201. #64979	C₂²	semidirect
502. #3124	D₅	direct (N × H)
751. #542	C₂×D₅	semidirect
771. #520	C₂×D₅	semidirect
791. #484	C₂×D₅	semidirect
799. #480	C₂×D₅	semidirect
807. #477	C₂×D₅	semidirect
815. #474	C₂×D₅	semidirect
823. #464	C₂×D₅	semidirect
831. #463	C₂×D₅	semidirect
839. #452	C₂×D₅	semidirect
862. #440	C₂×D₅	semidirect
863. #440	C₂×D₅	semidirect
871. C₄×Q₁₆	C₂×D₅	semidirect
879. C₄×D₈	C₂×D₅	semidirect
887. #433	C₂×D₅	semidirect
1584. D₅	#3124	direct (N × H)
1704. C₅	C₂×#3124	semidirect

Maximal subgroups

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

subgroup	index
D₅×#542	2
D₅×#520	2
C₅×#3124	2
#10615192	2
#10614300	2
D₅×#484	2
#10613188	2
D₅×#480	2
#10613004	2
D₅×#477	2
#10612828	2
D₅×#474	2
#10612684	2
D₅×#464	2
#10612305	2
D₅×#463	2
#10612241	2
D₅×#452	2
#10611949	2
D₅×#449	2
#10611805	2
#10611544	2
#10611519	2
D₅×#440	2
#10611480	2
C₄×D₅×Q₁₆	2
#10611328	2
C₄×D₅×D₈	2
#10611119	2
D₅×#433	2
C₂×#3124	5

Subgroups — D5×#3124 #12967607

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅×#3124 #12967607