Subgroups — D₅×#3257 #12972202

Order 1280.

1946 conjugacy classes of subgroups.

The subgroup lattice has 1790 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×#540	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3257	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615196	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615168	C₂	1	1	yes	maximal, characteristic, complemented
6	#10612994	C₂	1	1	yes	maximal, characteristic, complemented
7	D₅×#479	C₂	1	1	yes	maximal, characteristic, complemented
8	#10612913	C₂	1	1	yes	maximal, characteristic, complemented
9	D₅×#478	C₂	1	1	yes	maximal, characteristic, complemented
10	D₅×#476	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612781	C₂	1	1	yes	maximal, characteristic, complemented
12	D₅×#474	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612685	C₂	1	1	yes	maximal, characteristic, complemented
14	D₅×#469	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612588	C₂	1	1	yes	maximal, characteristic, complemented
16	D₅×#468	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612527	C₂	1	1	yes	maximal, characteristic, complemented
18	D₅×#466	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612436	C₂	1	1	yes	maximal, characteristic, complemented
20	D₅×#465	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612375	C₂	1	1	yes	maximal, characteristic, complemented
22	D₅×#463	C₂	1	1	yes	maximal, characteristic, complemented
23	D₅×#463	C₂	1	1	yes	maximal, characteristic, complemented
24	#10612246	C₂	1	1	yes	maximal, characteristic, complemented
25	#10612245	C₂	1	1	yes	maximal, characteristic, complemented
26	#10612134	C₂	1	1	yes	maximal, characteristic, complemented
27	D₅×#460	C₂	1	1	yes	maximal, characteristic, complemented
28	#10612077	C₂	1	1	yes	maximal, characteristic, complemented
29	D₅×#459	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610824	C₂	1	1	yes	maximal, characteristic, complemented
31	D₅×#424	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#542	C₂²	1	1	yes	characteristic, complemented
33	C₅×#540	C₂²	1	1	yes	characteristic, complemented
34	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
35	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
36	C₂×D₅×D₈	C₂²	1	1	yes	characteristic
37	C₂×D₅×D₈	C₂²	1	1	yes	characteristic
38	C₂×D₅×M₁₆	C₂²	1	1	yes	characteristic
39	C₂²×C₈×D₅	C₂²	1	1	yes	characteristic
40	#66067	C₂²	1	1	yes	characteristic, complemented
41	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
42	#66053	C₂²	1	1	yes	characteristic, complemented
43	D₅×#127	C₂²	1	1	yes	characteristic
44	#66044	—	2	1	no	—
45	D₅×#126	—	2	1	no	—
46	#66032	C₂²	1	1	yes	characteristic, complemented
47	D₅×#125	C₂²	1	1	yes	characteristic
48	#66016	C₂²	1	1	yes	characteristic, complemented
49	D₅×#124	—	2	1	no	—
50	D₅×#124	C₂²	1	1	yes	characteristic
51	#66003	—	2	1	no	—
52	#65997	—	2	1	no	—
53	#65997	—	2	1	no	—
54	#65996	—	2	1	no	—
55	D₅×#123	—	2	1	no	—
56	D₅×#123	—	2	1	no	—
57	D₅×#123	—	2	1	no	—
58	#65977	C₂²	1	1	yes	characteristic, complemented
59	#65974	—	2	1	no	—
60	D₅×C₂²⋊Q₈	—	2	1	no	—
61	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
62	#65953	C₂²	1	1	yes	characteristic, complemented
63	#65953	C₂²	1	1	yes	characteristic, complemented
64	#65949	—	2	1	no	—
65	#65949	—	2	1	no	—
66	D₅×#121	—	2	1	no	—
67	D₅×#121	—	2	1	no	—
68	D₅×#121	C₂²	1	1	yes	characteristic
69	D₅×#121	C₂²	1	1	yes	characteristic
70	D₅×#121	C₂²	1	1	yes	characteristic
71	#65937	C₂²	1	1	yes	characteristic, complemented
72	#65916	C₂²	1	1	yes	characteristic, complemented
73	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
74	#65896	C₂²	1	1	yes	characteristic, complemented
75	#65896	C₂²	1	1	yes	characteristic, complemented
76	#65895	C₂²	1	1	yes	characteristic, complemented
77	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
78	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
79	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
80	#65869	C₂²	1	1	yes	characteristic, complemented
81	#65868	C₂²	1	1	yes	characteristic, complemented
82	D₅×#117	C₂²	1	1	yes	characteristic
83	C₅×#479	C₂²	1	1	yes	characteristic, complemented
84	C₅×#478	C₂²	1	1	yes	characteristic, complemented
85	C₅×#476	C₂²	1	1	yes	characteristic, complemented
86	C₅×#474	C₂²	1	1	yes	characteristic, complemented
87	C₅×#469	C₂²	1	1	yes	characteristic, complemented
88	C₅×#468	C₂²	1	1	yes	characteristic, complemented
89	C₅×#466	C₂²	1	1	yes	characteristic, complemented
90	C₅×#465	C₂²	1	1	yes	characteristic, complemented
91	C₅×#463	C₂²	1	1	yes	characteristic, complemented
92	C₅×#463	C₂²	1	1	yes	characteristic, complemented
93	C₅×#460	C₂²	1	1	yes	characteristic, complemented
94	C₅×#459	C₂²	1	1	yes	characteristic, complemented
95	C₅×#424	C₂²	1	1	yes	characteristic, complemented
96	#65463	C₂²	1	1	yes	characteristic, complemented
97	#65460	C₂²	1	1	yes	characteristic, complemented
98	#65454	C₂²	1	1	yes	characteristic, complemented
99	#65454	C₂²	1	1	yes	characteristic, complemented
100	#65452	C₂²	1	1	yes	characteristic, complemented
101	#65452	C₂²	1	1	yes	characteristic, complemented
102	#65448	C₂²	1	1	yes	characteristic, complemented
103	#65446	C₂²	1	1	yes	characteristic, complemented
104	#65442	C₂²	1	1	yes	characteristic, complemented
105	#65442	C₂²	1	1	yes	characteristic, complemented
106	#65439	C₂²	1	1	yes	characteristic, complemented
107	#65439	C₂²	1	1	yes	characteristic, complemented
108	#65424	C₂²	1	1	yes	characteristic, complemented
109	#65423	C₂²	1	1	yes	characteristic, complemented
110	#65408	C₂²	1	1	yes	characteristic, complemented
111	#65404	C₂²	1	1	yes	characteristic, complemented
112	#65403	C₂²	1	1	yes	characteristic, complemented
113	#65391	C₂²	1	1	yes	characteristic, complemented
114	#65376	C₂²	1	1	yes	characteristic, complemented
115	#65373	C₂²	1	1	yes	characteristic, complemented
116	#65364	C₂²	1	1	yes	characteristic, complemented
117	#65361	C₂²	1	1	yes	characteristic, complemented
118	#65355	C₂²	1	1	yes	characteristic, complemented
119	#65352	C₂²	1	1	yes	characteristic, complemented
120	#65346	C₂²	1	1	yes	characteristic, complemented
121	#65346	C₂²	1	1	yes	characteristic, complemented
122	#65338	C₂²	1	1	yes	characteristic, complemented
123	#65337	C₂²	1	1	yes	characteristic, complemented
124	#65331	C₂²	1	1	yes	characteristic, complemented
125	#65330	C₂²	1	1	yes	characteristic, complemented
126	#65328	C₂²	1	1	yes	characteristic, complemented
127	#65328	C₂²	1	1	yes	characteristic, complemented
128	#65327	C₂²	1	1	yes	characteristic, complemented
129	#65327	C₂²	1	1	yes	characteristic, complemented
130	#65316	C₂²	1	1	yes	characteristic, complemented
131	#65311	C₂²	1	1	yes	characteristic, complemented
132	#65305	C₂²	1	1	yes	characteristic, complemented
133	#65305	C₂²	1	1	yes	characteristic, complemented
134	#65304	C₂²	1	1	yes	characteristic, complemented
135	#65298	C₂²	1	1	yes	characteristic, complemented
136	#65297	C₂²	1	1	yes	characteristic, complemented
137	#65296	C₂²	1	1	yes	characteristic, complemented
138	#65288	C₂²	1	1	yes	characteristic, complemented
139	#65180	C₂²	1	1	yes	characteristic, complemented
140	#65179	C₂²	1	1	yes	characteristic, complemented
141	#65179	C₂²	1	1	yes	characteristic, complemented
142	#65175	C₂²	1	1	yes	characteristic, complemented
143	#65172	C₂²	1	1	yes	characteristic, complemented
144	D₅×#107	C₂²	1	1	yes	characteristic
145	D₅×#107	C₂²	1	1	yes	characteristic
146	#65166	C₂²	1	1	yes	characteristic, complemented
147	#65160	C₂²	1	1	yes	characteristic, complemented
148	#65159	C₂²	1	1	yes	characteristic, complemented
149	#65159	C₂²	1	1	yes	characteristic, complemented
150	#65154	C₂²	1	1	yes	characteristic, complemented
151	#65153	C₂²	1	1	yes	characteristic, complemented
152	D₅×#106	C₂²	1	1	yes	characteristic
153	D₅×#106	C₂²	1	1	yes	characteristic
154	#65146	C₂²	1	1	yes	characteristic, complemented
155	#65137	C₂²	1	1	yes	characteristic, complemented
156	#65136	C₂²	1	1	yes	characteristic, complemented
157	#65135	C₂²	1	1	yes	characteristic, complemented
158	#65133	C₂²	1	1	yes	characteristic, complemented
159	#65133	C₂²	1	1	yes	characteristic, complemented
160	#65132	C₂²	1	1	yes	characteristic, complemented
161	#65131	C₂²	1	1	yes	characteristic, complemented
162	#65128	C₂²	1	1	yes	characteristic, complemented
163	#65128	C₂²	1	1	yes	characteristic, complemented
164	#65128	C₂²	1	1	yes	characteristic, complemented
165	#65128	C₂²	1	1	yes	characteristic, complemented
166	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
167	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
168	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
169	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
170	#65118	C₂²	1	1	yes	characteristic, complemented
171	#65108	C₂²	1	1	yes	characteristic, complemented
172	#65108	C₂²	1	1	yes	characteristic, complemented
173	#65101	C₂²	1	1	yes	characteristic, complemented
174	#65096	C₂²	1	1	yes	characteristic, complemented
175	D₅×#103	C₂²	1	1	yes	characteristic
176	D₅×#103	C₂²	1	1	yes	characteristic
177	#65088	C₂²	1	1	yes	characteristic, complemented
178	#65085	C₂²	1	1	yes	characteristic, complemented
179	#65076	C₂²	1	1	yes	characteristic, complemented
180	#65076	C₂²	1	1	yes	characteristic, complemented
181	#65075	C₂²	1	1	yes	characteristic, complemented
182	#65075	C₂²	1	1	yes	characteristic, complemented
183	#65071	C₂²	1	1	yes	characteristic, complemented
184	#65071	C₂²	1	1	yes	characteristic, complemented
185	#65069	C₂²	1	1	yes	characteristic, complemented
186	#65067	C₂²	1	1	yes	characteristic, complemented
187	#65064	C₂²	1	1	yes	characteristic, complemented
188	#65064	C₂²	1	1	yes	characteristic, complemented
189	D₅×#102	C₂²	1	1	yes	characteristic
190	D₅×#102	C₂²	1	1	yes	characteristic
191	D₅×#102	C₂²	1	1	yes	characteristic
192	D₅×#102	C₂²	1	1	yes	characteristic
193	D₅×#102	C₂²	1	1	yes	characteristic
194	D₅×#102	C₂²	1	1	yes	characteristic
195	#65055	C₂²	1	1	yes	characteristic, complemented
196	#65052	C₂²	1	1	yes	characteristic, complemented
197	#65051	C₂²	1	1	yes	characteristic, complemented
198	#65051	C₂²	1	1	yes	characteristic, complemented
199	#65050	C₂²	1	1	yes	characteristic, complemented
200	#65050	C₂²	1	1	yes	characteristic, complemented
201	#65048	C₂²	1	1	yes	characteristic, complemented
202	#65048	C₂²	1	1	yes	characteristic, complemented
203	C₂×#3257	—	5	1	no	maximal, Sylow
204	C₂×Q₈×D₅	—	2	1	no	—
205	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
206	C₂×D₄×D₅	—	2	1	no	—
207	C₂×D₄×D₅	—	2	1	no	—
208	C₂×D₄×D₅	—	2	1	no	—
209	C₂×D₄×D₅	—	2	1	no	—
210	C₂×D₄×D₅	—	2	1	no	—
211	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
212	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
213	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
214	C₂²×C₄×D₅	—	2	1	no	—
215	C₂²×C₄×D₅	—	2	1	no	—
216	C₂²×C₄×D₅	—	2	1	no	—
217	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
218	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
221	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
222	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
223	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
224	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
225	C₅×#127	C₂³	1	1	yes	characteristic
226	C₅×#126	—	2	1	no	—
227	C₅×#125	C₂³	1	1	yes	characteristic
228	C₅×#124	—	2	1	no	—
229	C₅×#124	C₂³	1	1	yes	characteristic
230	C₅×#123	—	2	1	no	—
231	C₅×#123	—	2	1	no	—
232	C₅×#123	—	2	1	no	—
233	C₅×C₂²⋊Q₈	—	2	1	no	—
234	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
235	C₅×#121	—	2	1	no	—
236	C₅×#121	—	2	1	no	—
237	C₅×#121	C₂³	1	1	yes	characteristic
238	C₅×#121	C₂³	1	1	yes	characteristic
239	C₅×#121	C₂³	1	1	yes	characteristic
240	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
241	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
242	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
243	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
244	C₅×#117	C₂³	1	1	yes	characteristic
245	#4093	—	2	1	no	—
246	#4093	C₂³	1	1	yes	characteristic
247	#4092	—	2	1	no	—
248	#4092	C₂³	1	1	yes	characteristic
249	Q₈×Dic₅	C₂³	1	1	yes	characteristic
250	#4090	—	2	1	no	—
251	C₂×#688	C₂³	1	1	yes	characteristic
252	C₂×#688	C₂³	1	1	yes	characteristic
253	#4086	—	2	1	no	—
254	#4086	—	2	1	no	—
255	#4086	C₂³	1	1	yes	characteristic
256	#4086	C₂³	1	1	yes	characteristic
257	#4085	—	2	1	no	—
258	#4085	—	2	1	no	—
259	#4085	—	2	1	no	—
260	#4085	—	2	1	no	—
261	#4085	—	2	1	no	—
262	#4085	—	2	1	no	—
263	#4085	—	2	1	no	—
264	#4084	—	2	1	no	—
265	#4084	—	2	1	no	—
266	#4084	C₂³	1	1	yes	characteristic
267	#4084	C₂³	1	1	yes	characteristic
268	#4084	C₂³	1	1	yes	characteristic
269	#4082	—	2	1	no	—
270	#4082	C₂³	1	1	yes	characteristic
271	#4081	—	2	1	no	—
272	#4081	—	2	1	no	—
273	#4081	—	2	1	no	—
274	D₄×Dic₅	C₂³	1	1	yes	characteristic
275	D₄×Dic₅	C₂³	1	1	yes	characteristic
276	D₄×Dic₅	C₂³	1	1	yes	characteristic
277	C₂×#687	C₂³	1	1	yes	characteristic
278	C₂×#687	C₂³	1	1	yes	characteristic
279	C₂×#686	C₂³	1	1	yes	characteristic
280	C₂×#686	C₂³	1	1	yes	characteristic
281	C₂×#686	C₂³	1	1	yes	characteristic
282	C₂×#686	C₂³	1	1	yes	characteristic
283	#4076	—	2	1	no	—
284	#4076	—	2	1	no	—
285	#4076	C₂³	1	1	yes	characteristic
286	#4076	C₂³	1	1	yes	characteristic
287	#4076	C₂³	1	1	yes	characteristic
288	#4075	—	2	1	no	—
289	#4075	—	2	1	no	—
290	#4075	—	2	1	no	—
291	C₄×C₂²⋊D₅	—	2	1	no	—
292	C₄×C₂²⋊D₅	—	2	1	no	—
293	C₄×C₂²⋊D₅	—	2	1	no	—
294	#4072	C₂³	1	1	yes	characteristic
295	#4070	—	2	1	no	—
296	#4070	C₂³	1	1	yes	characteristic
297	C₂×#681	C₂³	1	1	yes	characteristic
298	C₂²×#168	C₂³	1	1	yes	characteristic
299	D₅×SD₁₆	—	4	2	no	—
300	D₅×SD₁₆	—	4	2	no	—
301	D₅×D₈	—	4	2	no	—
302	D₅×D₈	—	4	2	no	—
303	D₅×M₁₆	—	4	2	no	—
304	C₂×D₄₀	C₂³	1	1	yes	characteristic
305	C₂×D₄₀	C₂³	1	1	yes	characteristic
306	C₂×#677	C₂³	1	1	yes	characteristic
307	C₂×#677	C₂³	1	1	yes	characteristic
308	C₂×#676	C₂³	1	1	yes	characteristic
309	C₂×#676	C₂³	1	1	yes	characteristic
310	C₂×C₈×D₅	—	4	2	no	—
311	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
312	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
313	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
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	#4044	—	2	1	no	—
318	#4044	—	2	1	no	—
319	#4044	—	2	1	no	—
320	#4043	—	2	1	no	—
321	#4043	C₂³	1	1	yes	characteristic
322	#4042	—	2	1	no	—
323	#4042	—	2	1	no	—
324	#4042	—	2	1	no	—
325	#4041	—	2	1	no	—
326	#4041	—	2	1	no	—
327	#4041	C₂³	1	1	yes	characteristic
328	#4041	C₂³	1	1	yes	characteristic
329	#4041	C₂³	1	1	yes	characteristic
330	#4040	—	2	1	no	—
331	#4040	—	2	1	no	—
332	#4040	—	2	1	no	—
333	#4040	—	2	1	no	—
334	#4040	—	2	1	no	—
335	#4040	—	2	1	no	—
336	#4039	C₂³	1	1	yes	characteristic
337	#4039	C₂³	1	1	yes	characteristic
338	#4039	C₂³	1	1	yes	characteristic
339	#4038	D₄	1	1	yes	characteristic
340	#4038	D₄	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
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	#4036	C₂³	1	1	yes	characteristic
353	#4036	C₂³	1	1	yes	characteristic
354	#4035	—	2	1	no	—
355	#4035	—	2	1	no	—
356	#4034	—	2	1	no	—
357	#4034	C₂³	1	1	yes	characteristic
358	#4034	C₂³	1	1	yes	characteristic
359	#4033	—	2	1	no	—
360	#4033	C₂³	1	1	yes	characteristic
361	#4032	—	2	1	no	—
362	#4032	—	2	1	no	—
363	#4032	—	2	1	no	—
364	#4031	—	2	1	no	—
365	#4031	—	2	1	no	—
366	#4031	—	2	1	no	—
367	#4031	—	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	#4030	—	2	1	no	—
374	#4030	—	2	1	no	—
375	#4030	—	2	1	no	—
376	#4030	—	2	1	no	—
377	#4029	—	2	1	no	—
378	#4029	—	2	1	no	—
379	#4029	—	2	1	no	—
380	#4029	—	2	1	no	—
381	#4029	—	2	1	no	—
382	#4029	—	2	1	no	—
383	#4027	—	2	1	no	—
384	#4027	—	2	1	no	—
385	#4027	—	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	D₄	1	1	yes	characteristic
404	#4023	D₄	1	1	yes	characteristic
405	#4022	—	2	1	no	—
406	#4021	—	2	1	no	—
407	#4021	C₂³	1	1	yes	characteristic
408	#4020	C₂³	1	1	yes	characteristic
409	C₄×D₂₀	C₂³	1	1	yes	characteristic
410	C₄×D₂₀	C₂³	1	1	yes	characteristic
411	C₄×D₂₀	C₂³	1	1	yes	characteristic
412	#4018	C₂³	1	1	yes	characteristic
413	#4018	C₂³	1	1	yes	characteristic
414	C₄²×D₅	—	2	1	no	—
415	C₄²×D₅	C₂³	1	1	yes	characteristic
416	C₄²×D₅	C₂³	1	1	yes	characteristic
417	#4016	C₂³	1	1	yes	characteristic
418	#4015	C₂³	1	1	yes	characteristic
419	C₄×Dic₁₀	—	2	1	no	—
420	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
421	C₅×#107	C₂³	1	1	yes	characteristic
422	C₅×#107	C₂³	1	1	yes	characteristic
423	C₅×#106	C₂³	1	1	yes	characteristic
424	C₅×#106	C₂³	1	1	yes	characteristic
425	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
426	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
427	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₅×#103	C₂³	1	1	yes	characteristic
430	C₅×#103	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×#102	C₂³	1	1	yes	characteristic
435	C₅×#102	C₂³	1	1	yes	characteristic
436	C₅×#102	C₂³	1	1	yes	characteristic
437	#3967	C₂³	1	1	yes	characteristic
438	#3967	C₂³	1	1	yes	characteristic
439	#3964	C₂³	1	1	yes	characteristic
440	#3964	C₂³	1	1	yes	characteristic
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	#3953	C₂³	1	1	yes	characteristic
446	#3953	C₂³	1	1	yes	characteristic
447	#3953	C₂³	1	1	yes	characteristic
448	#3953	C₂³	1	1	yes	characteristic
449	#3953	C₂³	1	1	yes	characteristic
450	#3953	C₂³	1	1	yes	characteristic
451	#3950	C₂³	1	1	yes	characteristic
452	#3950	C₂³	1	1	yes	characteristic
453	#3949	C₂³	1	1	yes	characteristic
454	#3949	C₂³	1	1	yes	characteristic
455	#3948	C₂³	1	1	yes	characteristic
456	#3948	C₂³	1	1	yes	characteristic
457	#3946	C₂³	1	1	yes	characteristic
458	#3946	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	#3946	C₂³	1	1	yes	characteristic
464	#3946	C₂³	1	1	yes	characteristic
465	#3942	C₂³	1	1	yes	characteristic
466	#3942	C₂³	1	1	yes	characteristic
467	#3941	C₂³	1	1	yes	characteristic
468	#3941	C₂³	1	1	yes	characteristic
469	#3941	C₂³	1	1	yes	characteristic
470	#3941	C₂³	1	1	yes	characteristic
471	#3941	C₂³	1	1	yes	characteristic
472	#3941	C₂³	1	1	yes	characteristic
473	#3940	C₂³	1	1	yes	characteristic
474	#3940	C₂³	1	1	yes	characteristic
475	#3940	C₂³	1	1	yes	characteristic
476	#3940	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	C₄⋊#168	C₂³	1	1	yes	characteristic
484	C₄⋊#168	C₂³	1	1	yes	characteristic
485	C₂×#542	—	5	1	no	—
486	C₂×#540	—	5	1	no	—
487	#3257	—	5	1	no	—
488	#3257	—	5	1	no	—
489	#3257	—	5	1	no	—
490	#3257	—	5	1	no	—
491	#3257	—	5	1	no	—
492	#3257	—	5	1	no	—
493	#3257	—	5	1	no	—
494	#3257	—	5	1	no	—
495	#3257	—	5	1	no	—
496	#3257	—	5	1	no	—
497	#3257	—	5	1	no	—
498	#3257	—	5	1	no	—
499	#3257	—	5	1	no	—
500	#3257	—	5	1	no	—
501	#3257	—	5	1	no	—
502	#3257	D₅	1	1	yes	characteristic, direct product factor
503	C₂×#479	—	5	1	no	—
504	C₂×#478	—	5	1	no	—
505	C₂×#476	—	5	1	no	—
506	C₂×#474	—	5	1	no	—
507	C₂×#469	—	5	1	no	—
508	C₂×#468	—	5	1	no	—
509	C₂×#466	—	5	1	no	—
510	C₂×#465	—	5	1	no	—
511	C₂×#460	—	5	1	no	—
512	C₂×#463	—	5	1	no	—
513	C₂×#463	—	5	1	no	—
514	C₂×#459	—	5	1	no	—
515	C₂×#424	—	5	1	no	—
516	C₂³×D₅	—	2	1	no	—
517	C₂³×D₅	—	2	1	no	—
518	C₂³×D₅	—	2	1	no	—
519	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
520	C₂×C₅×Q₈	—	2	1	no	—
521	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
522	C₂×C₅×D₄	—	2	1	no	—
523	C₂×C₅×D₄	—	2	1	no	—
524	C₂×C₅×D₄	—	2	1	no	—
525	C₂×C₅×D₄	—	2	1	no	—
526	C₂×C₅×D₄	—	2	1	no	—
527	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
528	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
529	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
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	C₂×C₂²⋊D₅	—	2	1	no	—
541	C₂×C₂²⋊D₅	—	2	1	no	—
542	C₂×C₂²⋊D₅	—	2	1	no	—
543	C₂×C₂²⋊D₅	—	2	1	no	—
544	C₂×C₂²⋊D₅	—	2	1	no	—
545	C₂×C₂²⋊D₅	—	2	1	no	—
546	C₂×C₂²⋊D₅	—	2	1	no	—
547	C₂²×Dic₅	—	2	1	no	—
548	C₂²×Dic₅	—	2	1	no	—
549	C₂²×Dic₅	—	2	1	no	—
550	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
551	Q₈×D₅	—	2	2	no	—
552	Q₈×D₅	—	2	2	no	—
553	Q₈×D₅	—	8	2	no	—
554	D₄×D₅	—	2	2	no	—
555	D₄×D₅	—	2	2	no	—
556	D₄×D₅	—	2	2	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	—	8	2	no	—
562	D₄×D₅	—	8	2	no	—
563	D₄×D₅	—	8	2	no	—
564	D₄×D₅	—	8	2	no	—
565	C₂×D₂₀	—	2	1	no	—
566	C₂×D₂₀	—	2	1	no	—
567	C₂×D₂₀	—	2	1	no	—
568	C₂×D₂₀	—	2	1	no	—
569	C₂×D₂₀	—	2	1	no	—
570	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
571	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
572	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
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	—	8	2	no	—
587	C₂×C₄×D₅	—	8	2	no	—
588	C₂×C₄×D₅	—	8	2	no	—
589	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
590	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
591	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
596	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
597	C₂×Dic₁₀	—	2	1	no	—
598	C₂×Dic₁₀	—	2	1	no	—
599	C₂×Dic₁₀	—	2	1	no	—
600	C₂×Dic₁₀	—	2	1	no	—
601	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
602	C₅×SD₁₆	—	4	1	no	—
603	C₅×SD₁₆	—	4	1	no	—
604	C₅×D₈	—	4	1	no	—
605	C₅×D₈	—	4	1	no	—
606	C₅×M₁₆	—	4	1	no	—
607	C₂×C₅×C₈	—	4	1	no	—
608	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
609	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
610	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
611	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
612	C₅×C₄⋊C₄	—	2	1	no	—
613	C₅×C₄⋊C₄	—	2	1	no	—
614	C₅×C₄⋊C₄	—	2	1	no	—
615	C₅×C₄⋊C₄	—	2	1	no	—
616	C₅×C₄⋊C₄	—	2	1	no	—
617	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
618	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
619	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
620	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
621	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
622	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
623	C₅×C₂²⋊C₄	—	2	1	no	—
624	C₅×C₂²⋊C₄	—	2	1	no	—
625	C₅×C₂²⋊C₄	—	2	1	no	—
626	C₅×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
633	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
634	C₄²×C₅	—	2	1	no	—
635	C₄²×C₅	C₂⁴	1	1	yes	characteristic
636	C₄²×C₅	C₂⁴	1	1	yes	characteristic
637	C₂²⋊Dic₅	—	2	1	no	—
638	C₂²⋊Dic₅	—	2	1	no	—
639	C₂²⋊Dic₅	—	2	1	no	—
640	C₂²⋊Dic₅	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
647	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
648	#688	—	4	1	no	—
649	#688	—	4	1	no	—
650	#687	—	4	1	no	—
651	#687	—	4	1	no	—
652	#686	—	4	1	no	—
653	#686	—	4	1	no	—
654	#686	—	4	1	no	—
655	#686	—	4	1	no	—
656	#685	—	2	1	no	—
657	#685	—	2	1	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	—	2	1	no	—
673	#685	—	2	1	no	—
674	#685	C₂×D₄	1	1	yes	characteristic
675	#685	C₂×D₄	1	1	yes	characteristic
676	#685	C₂×D₄	1	1	yes	characteristic
677	#685	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
683	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
684	C₄⋊Dic₅	C₂×D₄	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	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
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	C₄×Dic₅	—	2	1	no	—
708	C₄×Dic₅	—	2	1	no	—
709	C₄×Dic₅	—	2	1	no	—
710	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
711	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
712	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
713	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
714	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
715	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
716	#681	—	4	1	no	—
717	C₂×#168	—	4	1	no	—
718	C₂×#168	C₂⁴	1	1	yes	characteristic
719	C₂×#168	C₂⁴	1	1	yes	characteristic
720	C₂×#168	C₂⁴	1	1	yes	characteristic
721	C₂×#168	C₂⁴	1	1	yes	characteristic
722	D₄₀	—	4	1	no	—
723	D₄₀	—	4	1	no	—
724	#677	—	4	1	no	—
725	#677	—	4	1	no	—
726	#676	—	4	1	no	—
727	#676	—	4	1	no	—
728	C₈×D₅	—	2	2	no	—
729	C₈×D₅	—	2	2	no	—
730	C₈×D₅	—	2	2	no	—
731	C₈×D₅	—	2	2	no	—
732	C₈×D₅	—	4	1	no	—
733	C₈×D₅	—	4	1	no	—
734	C₂²×SD₁₆	—	5	1	no	—
735	C₂²×SD₁₆	—	5	1	no	—
736	C₂²×D₈	—	5	1	no	—
737	C₂²×D₈	—	5	1	no	—
738	C₂²×M₁₆	—	5	1	no	—
739	C₂³×C₈	—	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	#540	—	5	1	no	—
753	#540	—	5	1	no	—
754	#540	—	5	1	no	—
755	#540	—	5	1	no	—
756	#540	—	5	1	no	—
757	#540	—	5	1	no	—
758	#540	—	5	1	no	—
759	#540	—	10	1	no	—
760	#540	—	10	1	no	—
761	#540	—	10	1	no	—
762	#540	—	10	1	no	—
763	#540	C₂×D₅	1	1	yes	characteristic, complemented
764	C₂×C₄⋊Q₈	—	5	1	no	—
765	C₂×#127	—	5	1	no	—
766	C₂×#126	—	10	1	no	—
767	C₂×#125	—	5	1	no	—
768	C₂×#124	—	5	1	no	—
769	C₂×#124	—	10	1	no	—
770	C₂×#123	—	10	1	no	—
771	C₂×#123	—	10	1	no	—
772	C₂×#123	—	10	1	no	—
773	C₂×C₂²⋊Q₈	—	5	1	no	—
774	C₂×C₂²⋊Q₈	—	10	1	no	—
775	C₂×#121	—	5	1	no	—
776	C₂×#121	—	5	1	no	—
777	C₂×#121	—	5	1	no	—
778	C₂×#121	—	10	1	no	—
779	C₂×#121	—	10	1	no	—
780	C₂×C₄×Q₈	—	5	1	no	—
781	C₂×C₄×D₄	—	5	1	no	—
782	C₂×C₄×D₄	—	5	1	no	—
783	C₂×C₄×D₄	—	5	1	no	—
784	C₂×#117	—	5	1	no	—
785	#479	—	5	1	no	—
786	#479	—	5	1	no	—
787	#479	—	5	1	no	—
788	#479	—	5	1	no	—
789	#479	—	5	1	no	—
790	#479	—	5	1	no	—
791	#479	—	5	1	no	—
792	#479	C₂×D₅	1	1	yes	characteristic, complemented
793	#478	—	5	1	no	—
794	#478	—	5	1	no	—
795	#478	—	5	1	no	—
796	#478	—	5	1	no	—
797	#478	—	5	1	no	—
798	#478	—	5	1	no	—
799	#478	—	5	1	no	—
800	#478	C₂×D₅	1	1	yes	characteristic, complemented
801	#476	—	5	1	no	—
802	#476	—	5	1	no	—
803	#476	—	5	1	no	—
804	#476	—	5	1	no	—
805	#476	—	5	1	no	—
806	#476	—	5	1	no	—
807	#476	—	5	1	no	—
808	#476	C₂×D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
816	#474	C₂×D₅	1	1	yes	characteristic, complemented
817	#469	—	5	1	no	—
818	#469	—	5	1	no	—
819	#469	—	5	1	no	—
820	#469	—	5	1	no	—
821	#469	—	5	1	no	—
822	#469	—	5	1	no	—
823	#469	—	5	1	no	—
824	#469	C₂×D₅	1	1	yes	characteristic, complemented
825	#468	—	5	1	no	—
826	#468	—	5	1	no	—
827	#468	—	5	1	no	—
828	#468	—	5	1	no	—
829	#468	—	5	1	no	—
830	#468	—	5	1	no	—
831	#468	—	5	1	no	—
832	#468	C₂×D₅	1	1	yes	characteristic, complemented
833	#466	—	5	1	no	—
834	#466	—	5	1	no	—
835	#466	—	5	1	no	—
836	#466	—	5	1	no	—
837	#466	—	5	1	no	—
838	#466	—	5	1	no	—
839	#466	—	5	1	no	—
840	#466	C₂×D₅	1	1	yes	characteristic, complemented
841	#465	—	5	1	no	—
842	#465	—	5	1	no	—
843	#465	—	5	1	no	—
844	#465	—	5	1	no	—
845	#465	—	5	1	no	—
846	#465	—	5	1	no	—
847	#465	—	5	1	no	—
848	#465	C₂×D₅	1	1	yes	characteristic, complemented
849	#463	—	5	1	no	—
850	#463	—	5	1	no	—
851	#463	—	5	1	no	—
852	#463	—	5	1	no	—
853	#463	—	5	1	no	—
854	#463	—	5	1	no	—
855	#463	—	5	1	no	—
856	#463	—	5	1	no	—
857	#463	—	5	1	no	—
858	#463	—	5	1	no	—
859	#463	—	5	1	no	—
860	#463	—	5	1	no	—
861	#463	—	5	1	no	—
862	#463	—	5	1	no	—
863	#463	C₂×D₅	1	1	yes	characteristic, complemented
864	#463	C₂×D₅	1	1	yes	characteristic, complemented
865	#460	—	5	1	no	—
866	#460	—	5	1	no	—
867	#460	—	5	1	no	—
868	#460	—	5	1	no	—
869	#460	—	5	1	no	—
870	#460	—	5	1	no	—
871	#460	—	5	1	no	—
872	#460	C₂×D₅	1	1	yes	characteristic, complemented
873	#459	—	5	1	no	—
874	#459	—	5	1	no	—
875	#459	—	5	1	no	—
876	#459	—	5	1	no	—
877	#459	—	5	1	no	—
878	#459	—	5	1	no	—
879	#459	—	5	1	no	—
880	#459	C₂×D₅	1	1	yes	characteristic, complemented
881	C₂×#107	—	5	1	no	—
882	C₂×#107	—	5	1	no	—
883	C₂×#106	—	5	1	no	—
884	C₂×#106	—	5	1	no	—
885	#424	—	5	1	no	—
886	#424	—	5	1	no	—
887	#424	—	5	1	no	—
888	#424	—	5	1	no	—
889	#424	—	5	1	no	—
890	#424	—	5	1	no	—
891	#424	—	5	1	no	—
892	#424	C₂×D₅	1	1	yes	characteristic, complemented
893	C₂×C₄⋊C₈	—	5	1	no	—
894	C₂×C₄⋊C₈	—	5	1	no	—
895	C₂×C₄⋊C₈	—	5	1	no	—
896	C₂×C₄⋊C₈	—	5	1	no	—
897	C₂×#103	—	5	1	no	—
898	C₂×#103	—	5	1	no	—
899	C₂×#102	—	5	1	no	—
900	C₂×#102	—	5	1	no	—
901	C₂×#102	—	5	1	no	—
902	C₂×#102	—	5	1	no	—
903	C₂×#102	—	5	1	no	—
904	C₂×#102	—	5	1	no	—
905	C₂³×C₅	—	2	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	2	no	—
910	C₂²×D₅	—	2	2	no	—
911	C₂²×D₅	—	2	2	no	—
912	C₂²×D₅	—	2	1	no	—
913	C₂²×D₅	—	2	1	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	—	4	2	no	—
921	C₂²×D₅	—	4	2	no	—
922	C₂²×D₅	—	4	2	no	—
923	C₂²×D₅	—	4	2	no	—
924	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
925	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
926	C₅×Q₈	—	2	1	no	—
927	C₅×Q₈	—	2	1	no	—
928	C₅×Q₈	—	8	1	no	—
929	C₅×D₄	—	2	1	no	—
930	C₅×D₄	—	2	1	no	—
931	C₅×D₄	—	2	1	no	—
932	C₅×D₄	—	2	1	no	—
933	C₅×D₄	—	2	1	no	—
934	C₅×D₄	—	2	1	no	—
935	C₅×D₄	—	8	1	no	—
936	C₅×D₄	—	8	1	no	—
937	C₅×D₄	—	8	1	no	—
938	C₅×D₄	—	8	1	no	—
939	C₅×D₄	—	8	1	no	—
940	C₂×C₄×C₅	—	2	1	no	—
941	C₂×C₄×C₅	—	2	1	no	—
942	C₂×C₄×C₅	—	2	1	no	—
943	C₂×C₄×C₅	—	2	1	no	—
944	C₂×C₄×C₅	—	2	1	no	—
945	C₂×C₄×C₅	—	2	1	no	—
946	C₂×C₄×C₅	—	2	1	no	—
947	C₂×C₄×C₅	—	8	1	no	—
948	C₂×C₄×C₅	—	8	1	no	—
949	C₂×C₄×C₅	—	8	1	no	—
950	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
951	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
952	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
953	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
954	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
955	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
956	C₂²⋊D₅	—	4	2	no	—
957	C₂²⋊D₅	—	4	2	no	—
958	C₂²⋊D₅	—	4	2	no	—
959	C₂²⋊D₅	—	8	1	no	—
960	C₂²⋊D₅	—	8	1	no	—
961	C₂²⋊D₅	—	8	1	no	—
962	C₂²⋊D₅	—	8	1	no	—
963	C₂²⋊D₅	—	8	1	no	—
964	C₂²⋊D₅	—	8	1	no	—
965	C₂²⋊D₅	—	8	1	no	—
966	C₂²⋊D₅	—	8	1	no	—
967	C₂²⋊D₅	—	8	1	no	—
968	C₂²⋊D₅	—	8	1	no	—
969	C₂×Dic₅	—	2	2	no	—
970	C₂×Dic₅	—	2	1	no	—
971	C₂×Dic₅	—	2	1	no	—
972	C₂×Dic₅	—	2	1	no	—
973	C₂×Dic₅	—	2	1	no	—
974	C₂×Dic₅	—	2	1	no	—
975	C₂×Dic₅	—	8	1	no	—
976	C₂×Dic₅	—	8	1	no	—
977	C₂×Dic₅	—	8	1	no	—
978	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
979	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
980	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
981	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
982	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
983	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
984	D₂₀	—	2	1	no	—
985	D₂₀	—	2	1	no	—
986	D₂₀	—	2	1	no	—
987	D₂₀	—	2	1	no	—
988	D₂₀	—	2	1	no	—
989	D₂₀	—	2	1	no	—
990	D₂₀	—	8	1	no	—
991	D₂₀	—	8	1	no	—
992	D₂₀	—	8	1	no	—
993	D₂₀	—	8	1	no	—
994	D₂₀	—	8	1	no	—
995	C₄×D₅	—	2	2	no	—
996	C₄×D₅	—	2	2	no	—
997	C₄×D₅	—	2	2	no	—
998	C₄×D₅	—	2	2	no	—
999	C₄×D₅	—	2	2	no	—
1000	C₄×D₅	—	2	1	no	—
1001	C₄×D₅	—	2	1	no	—
1002	C₄×D₅	—	2	2	no	—
1003	C₄×D₅	—	4	2	no	—
1004	C₄×D₅	—	4	2	no	—
1005	C₄×D₅	—	4	2	no	—
1006	C₄×D₅	—	4	2	no	—
1007	C₄×D₅	—	4	2	no	—
1008	C₄×D₅	—	8	1	no	—
1009	C₄×D₅	—	8	1	no	—
1010	C₄×D₅	—	8	1	no	—
1011	C₄×D₅	—	8	1	no	—
1012	C₄×D₅	—	8	1	no	—
1013	C₄×D₅	—	8	1	no	—
1014	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1015	C₄×D₅	2₋¹⁺⁴	1	2	yes	—
1016	Dic₁₀	—	2	1	no	—
1017	Dic₁₀	—	2	1	no	—
1018	Dic₁₀	—	4	2	no	—
1019	Dic₁₀	—	8	1	no	—
1020	Dic₁₀	—	8	1	no	—
1021	Dic₁₀	—	8	1	no	—
1022	C₅×C₈	—	2	1	no	—
1023	C₅×C₈	—	2	1	no	—
1024	C₅×C₈	—	2	1	no	—
1025	C₅×C₈	—	2	1	no	—
1026	#168	—	2	1	no	—
1027	#168	—	2	1	no	—
1028	#168	—	2	1	no	—
1029	#168	—	2	1	no	—
1030	C₂²×Q₈	—	5	1	no	—
1031	C₂²×Q₈	—	10	1	no	—
1032	C₂²×D₄	—	5	1	no	—
1033	C₂²×D₄	—	5	1	no	—
1034	C₂²×D₄	—	5	1	no	—
1035	C₂²×D₄	—	10	1	no	—
1036	C₂²×D₄	—	10	1	no	—
1037	C₂²×D₄	—	10	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	C₂×SD₁₆	—	5	1	no	—
1045	C₂×SD₁₆	—	5	1	no	—
1046	C₂×SD₁₆	—	5	1	no	—
1047	C₂×SD₁₆	—	5	1	no	—
1048	C₂×SD₁₆	—	5	1	no	—
1049	C₂×SD₁₆	—	5	1	no	—
1050	C₂×SD₁₆	—	20	2	no	—
1051	C₂×SD₁₆	—	20	2	no	—
1052	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1053	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1054	C₂×D₈	—	5	1	no	—
1055	C₂×D₈	—	5	1	no	—
1056	C₂×D₈	—	5	1	no	—
1057	C₂×D₈	—	5	1	no	—
1058	C₂×D₈	—	5	1	no	—
1059	C₂×D₈	—	5	1	no	—
1060	C₂×D₈	—	20	2	no	—
1061	C₂×D₈	—	20	2	no	—
1062	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1063	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1064	C₂×M₁₆	—	5	1	no	—
1065	C₂×M₁₆	—	5	1	no	—
1066	C₂×M₁₆	—	5	1	no	—
1067	C₂×M₁₆	—	20	2	no	—
1068	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1069	C₂²×C₈	—	5	1	no	—
1070	C₂²×C₈	—	5	1	no	—
1071	C₂²×C₈	—	5	1	no	—
1072	C₂²×C₈	—	5	1	no	—
1073	C₂²×C₈	—	5	1	no	—
1074	C₂²×C₈	—	5	1	no	—
1075	C₂²×C₈	—	5	1	no	—
1076	C₂²×C₈	—	20	2	no	—
1077	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1078	C₄⋊Q₈	—	5	1	no	—
1079	C₄⋊Q₈	—	5	1	no	—
1080	C₄⋊Q₈	—	5	1	no	—
1081	C₄⋊Q₈	—	10	1	no	—
1082	C₄⋊Q₈	—	10	1	no	—
1083	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1084	#127	—	5	1	no	—
1085	#127	—	5	1	no	—
1086	#127	—	5	1	no	—
1087	#127	—	10	1	no	—
1088	#127	—	10	1	no	—
1089	#127	C₂²×D₅	1	1	yes	characteristic
1090	#126	—	2	1	no	—
1091	#126	—	10	1	no	—
1092	#126	—	10	1	no	—
1093	#126	—	10	1	no	—
1094	#126	—	10	1	no	—
1095	#126	—	10	1	no	—
1096	#126	—	10	1	no	—
1097	#126	—	10	1	no	—
1098	#125	—	5	1	no	—
1099	#125	—	5	1	no	—
1100	#125	—	5	1	no	—
1101	#125	—	10	1	no	—
1102	#125	—	10	1	no	—
1103	#125	C₂²×D₅	1	1	yes	characteristic
1104	#124	—	2	1	no	—
1105	#124	—	5	1	no	—
1106	#124	—	5	1	no	—
1107	#124	—	5	1	no	—
1108	#124	—	10	1	no	—
1109	#124	—	10	1	no	—
1110	#124	—	10	1	no	—
1111	#124	—	10	1	no	—
1112	#124	—	10	1	no	—
1113	#124	—	10	1	no	—
1114	#124	—	10	1	no	—
1115	#124	—	10	1	no	—
1116	#124	—	10	1	no	—
1117	#124	C₂²×D₅	1	1	yes	characteristic
1118	#123	—	2	1	no	—
1119	#123	—	2	1	no	—
1120	#123	—	2	1	no	—
1121	#123	—	10	1	no	—
1122	#123	—	10	1	no	—
1123	#123	—	10	1	no	—
1124	#123	—	10	1	no	—
1125	#123	—	10	1	no	—
1126	#123	—	10	1	no	—
1127	#123	—	10	1	no	—
1128	#123	—	10	1	no	—
1129	#123	—	10	1	no	—
1130	#123	—	10	1	no	—
1131	#123	—	10	1	no	—
1132	#123	—	10	1	no	—
1133	#123	—	10	1	no	—
1134	#123	—	10	1	no	—
1135	#123	—	10	1	no	—
1136	#123	—	10	1	no	—
1137	#123	—	10	1	no	—
1138	#123	—	10	1	no	—
1139	#123	—	10	1	no	—
1140	#123	—	10	1	no	—
1141	#123	—	10	1	no	—
1142	C₂²⋊Q₈	—	2	1	no	—
1143	C₂²⋊Q₈	—	5	1	no	—
1144	C₂²⋊Q₈	—	5	1	no	—
1145	C₂²⋊Q₈	—	5	1	no	—
1146	C₂²⋊Q₈	—	10	1	no	—
1147	C₂²⋊Q₈	—	10	1	no	—
1148	C₂²⋊Q₈	—	10	1	no	—
1149	C₂²⋊Q₈	—	10	1	no	—
1150	C₂²⋊Q₈	—	10	1	no	—
1151	C₂²⋊Q₈	—	10	1	no	—
1152	C₂²⋊Q₈	—	10	1	no	—
1153	C₂²⋊Q₈	—	10	1	no	—
1154	C₂²⋊Q₈	—	10	1	no	—
1155	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1156	#121	—	2	1	no	—
1157	#121	—	2	1	no	—
1158	#121	—	5	1	no	—
1159	#121	—	5	1	no	—
1160	#121	—	5	1	no	—
1161	#121	—	5	1	no	—
1162	#121	—	5	1	no	—
1163	#121	—	5	1	no	—
1164	#121	—	5	1	no	—
1165	#121	—	5	1	no	—
1166	#121	—	5	1	no	—
1167	#121	—	10	1	no	—
1168	#121	—	10	1	no	—
1169	#121	—	10	1	no	—
1170	#121	—	10	1	no	—
1171	#121	—	10	1	no	—
1172	#121	—	10	1	no	—
1173	#121	—	10	1	no	—
1174	#121	—	10	1	no	—
1175	#121	—	10	1	no	—
1176	#121	—	10	1	no	—
1177	#121	—	10	1	no	—
1178	#121	—	10	1	no	—
1179	#121	—	10	1	no	—
1180	#121	—	10	1	no	—
1181	#121	—	10	1	no	—
1182	#121	—	10	1	no	—
1183	#121	—	10	1	no	—
1184	#121	—	10	1	no	—
1185	#121	—	10	1	no	—
1186	#121	—	10	1	no	—
1187	#121	C₂²×D₅	1	1	yes	characteristic
1188	#121	C₂²×D₅	1	1	yes	characteristic
1189	#121	C₂²×D₅	1	1	yes	characteristic
1190	C₄×Q₈	—	5	1	no	—
1191	C₄×Q₈	—	5	1	no	—
1192	C₄×Q₈	—	5	1	no	—
1193	C₄×Q₈	—	10	1	no	—
1194	C₄×Q₈	—	10	1	no	—
1195	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1196	C₄×D₄	—	5	1	no	—
1197	C₄×D₄	—	5	1	no	—
1198	C₄×D₄	—	5	1	no	—
1199	C₄×D₄	—	5	1	no	—
1200	C₄×D₄	—	5	1	no	—
1201	C₄×D₄	—	5	1	no	—
1202	C₄×D₄	—	5	1	no	—
1203	C₄×D₄	—	5	1	no	—
1204	C₄×D₄	—	5	1	no	—
1205	C₄×D₄	—	10	1	no	—
1206	C₄×D₄	—	10	1	no	—
1207	C₄×D₄	—	10	1	no	—
1208	C₄×D₄	—	10	1	no	—
1209	C₄×D₄	—	10	1	no	—
1210	C₄×D₄	—	10	1	no	—
1211	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1212	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1213	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1214	#117	—	5	1	no	—
1215	#117	—	5	1	no	—
1216	#117	—	5	1	no	—
1217	#117	—	5	1	no	—
1218	#117	—	5	1	no	—
1219	#117	—	5	1	no	—
1220	#117	—	5	1	no	—
1221	#117	C₂²×D₅	1	1	yes	characteristic
1222	C₂×C₄⋊C₄	—	5	1	no	—
1223	C₂×C₄⋊C₄	—	5	1	no	—
1224	C₂×C₄⋊C₄	—	5	1	no	—
1225	C₂×C₄⋊C₄	—	5	1	no	—
1226	C₂×C₄⋊C₄	—	5	1	no	—
1227	C₂×C₄⋊C₄	—	5	1	no	—
1228	C₂×C₄⋊C₄	—	10	1	no	—
1229	C₂×C₄⋊C₄	—	10	1	no	—
1230	C₂×C₄⋊C₄	—	10	1	no	—
1231	C₂×C₄⋊C₄	—	10	1	no	—
1232	C₂×C₄⋊C₄	—	10	1	no	—
1233	C₂×C₂²⋊C₄	—	5	1	no	—
1234	C₂×C₂²⋊C₄	—	5	1	no	—
1235	C₂×C₂²⋊C₄	—	10	1	no	—
1236	C₂×C₂²⋊C₄	—	10	1	no	—
1237	C₂×C₂²⋊C₄	—	10	1	no	—
1238	C₂×C₂²⋊C₄	—	10	1	no	—
1239	C₂×C₂²⋊C₄	—	10	1	no	—
1240	C₂×C₂²⋊C₄	—	10	1	no	—
1241	C₂×C₂²⋊C₄	—	10	1	no	—
1242	C₂×C₂²⋊C₄	—	10	1	no	—
1243	C₂×C₂²⋊C₄	—	10	1	no	—
1244	C₂×C₄²	—	5	1	no	—
1245	C₂×C₄²	—	5	1	no	—
1246	C₂×C₄²	—	10	1	no	—
1247	#107	—	5	1	no	—
1248	#107	—	5	1	no	—
1249	#107	—	5	1	no	—
1250	#107	—	5	1	no	—
1251	#107	—	5	1	no	—
1252	#107	—	5	1	no	—
1253	#107	C₂²×D₅	1	1	yes	characteristic
1254	#107	C₂²×D₅	1	1	yes	characteristic
1255	#106	—	5	1	no	—
1256	#106	—	5	1	no	—
1257	#106	—	5	1	no	—
1258	#106	—	5	1	no	—
1259	#106	—	5	1	no	—
1260	#106	—	5	1	no	—
1261	#106	C₂²×D₅	1	1	yes	characteristic
1262	#106	C₂²×D₅	1	1	yes	characteristic
1263	C₄⋊C₈	—	5	1	no	—
1264	C₄⋊C₈	—	5	1	no	—
1265	C₄⋊C₈	—	5	1	no	—
1266	C₄⋊C₈	—	5	1	no	—
1267	C₄⋊C₈	—	5	1	no	—
1268	C₄⋊C₈	—	5	1	no	—
1269	C₄⋊C₈	—	5	1	no	—
1270	C₄⋊C₈	—	5	1	no	—
1271	C₄⋊C₈	—	5	1	no	—
1272	C₄⋊C₈	—	5	1	no	—
1273	C₄⋊C₈	—	5	1	no	—
1274	C₄⋊C₈	—	5	1	no	—
1275	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1276	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1277	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1278	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1279	#103	—	5	1	no	—
1280	#103	—	5	1	no	—
1281	#103	—	5	1	no	—
1282	#103	—	5	1	no	—
1283	#103	—	5	1	no	—
1284	#103	—	5	1	no	—
1285	#103	C₂²×D₅	1	1	yes	characteristic
1286	#103	C₂²×D₅	1	1	yes	characteristic
1287	#102	—	5	1	no	—
1288	#102	—	5	1	no	—
1289	#102	—	5	1	no	—
1290	#102	—	5	1	no	—
1291	#102	—	5	1	no	—
1292	#102	—	5	1	no	—
1293	#102	—	5	1	no	—
1294	#102	—	5	1	no	—
1295	#102	—	5	1	no	—
1296	#102	—	5	1	no	—
1297	#102	—	5	1	no	—
1298	#102	—	5	1	no	—
1299	#102	—	5	1	no	—
1300	#102	—	5	1	no	—
1301	#102	—	5	1	no	—
1302	#102	—	5	1	no	—
1303	#102	—	5	1	no	—
1304	#102	—	5	1	no	—
1305	#102	C₂²×D₅	1	1	yes	characteristic
1306	#102	C₂²×D₅	1	1	yes	characteristic
1307	#102	C₂²×D₅	1	1	yes	characteristic
1308	#102	C₂²×D₅	1	1	yes	characteristic
1309	#102	C₂²×D₅	1	1	yes	characteristic
1310	#102	C₂²×D₅	1	1	yes	characteristic
1311	C₂²×C₅	—	2	1	no	—
1312	C₂²×C₅	—	2	1	no	—
1313	C₂²×C₅	—	2	1	no	—
1314	C₂²×C₅	—	4	1	no	—
1315	C₂²×C₅	—	4	1	no	—
1316	C₂²×C₅	—	4	1	no	—
1317	C₂²×C₅	—	4	1	no	—
1318	C₂²×C₅	—	4	1	no	—
1319	C₂²×C₅	—	4	1	no	—
1320	C₂²×C₅	—	4	1	no	—
1321	C₂²×C₅	—	4	1	no	—
1322	C₂²×C₅	—	4	1	no	—
1323	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1324	C₂×D₅	—	2	1	no	—
1325	C₂×D₅	—	2	1	no	—
1326	C₂×D₅	—	2	1	no	—
1327	C₂×D₅	—	4	4	no	—
1328	C₂×D₅	—	4	1	no	—
1329	C₂×D₅	—	4	1	no	—
1330	C₂×D₅	—	4	1	no	—
1331	C₂×D₅	—	4	1	no	—
1332	C₂×D₅	—	4	1	no	—
1333	C₂×D₅	—	4	1	no	—
1334	C₂×D₅	—	4	1	no	—
1335	C₂×D₅	—	4	1	no	—
1336	C₂×D₅	—	4	1	no	—
1337	C₂×D₅	—	8	4	no	—
1338	C₂×D₅	—	8	4	no	—
1339	C₂×D₅	—	8	4	no	—
1340	C₂×D₅	#537	1	2	yes	—
1341	C₂×D₅	#576	1	2	yes	—
1342	C₂×D₅	#577	1	2	yes	—
1343	C₄×C₅	—	2	1	no	—
1344	C₄×C₅	—	2	1	no	—
1345	C₄×C₅	—	2	1	no	—
1346	C₄×C₅	—	2	1	no	—
1347	C₄×C₅	—	2	1	no	—
1348	C₄×C₅	—	4	1	no	—
1349	C₄×C₅	—	4	1	no	—
1350	C₄×C₅	—	4	1	no	—
1351	C₄×C₅	—	4	1	no	—
1352	C₄×C₅	—	4	1	no	—
1353	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1354	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1355	Dic₅	—	2	1	no	—
1356	Dic₅	—	2	1	no	—
1357	Dic₅	—	2	1	no	—
1358	Dic₅	—	2	1	no	—
1359	Dic₅	—	2	1	no	—
1360	Dic₅	—	4	1	no	—
1361	Dic₅	—	4	1	no	—
1362	Dic₅	—	4	1	no	—
1363	Dic₅	—	4	1	no	—
1364	Dic₅	—	4	1	no	—
1365	Dic₅	#537	1	2	yes	—
1366	C₂⁴	—	5	1	no	—
1367	C₂⁴	—	10	1	no	—
1368	C₂⁴	—	10	1	no	—
1369	C₂⁴	—	10	1	no	—
1370	C₂×Q₈	—	2	1	no	—
1371	C₂×Q₈	—	5	1	no	—
1372	C₂×Q₈	—	10	1	no	—
1373	C₂×Q₈	—	10	1	no	—
1374	C₂×Q₈	—	10	1	no	—
1375	C₂×Q₈	—	10	2	no	—
1376	C₂×Q₈	—	10	2	no	—
1377	C₂×Q₈	—	10	1	no	—
1378	C₂×Q₈	—	40	2	no	—
1379	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1380	C₂×D₄	—	2	1	no	—
1381	C₂×D₄	—	2	1	no	—
1382	C₂×D₄	—	2	1	no	—
1383	C₂×D₄	—	2	1	no	—
1384	C₂×D₄	—	2	1	no	—
1385	C₂×D₄	—	5	1	no	—
1386	C₂×D₄	—	5	1	no	—
1387	C₂×D₄	—	5	1	no	—
1388	C₂×D₄	—	10	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	2	no	—
1395	C₂×D₄	—	10	2	no	—
1396	C₂×D₄	—	10	2	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	—	10	1	no	—
1402	C₂×D₄	—	10	1	no	—
1403	C₂×D₄	—	10	1	no	—
1404	C₂×D₄	—	10	1	no	—
1405	C₂×D₄	—	10	1	no	—
1406	C₂×D₄	—	10	1	no	—
1407	C₂×D₄	—	10	1	no	—
1408	C₂×D₄	—	10	1	no	—
1409	C₂×D₄	—	10	1	no	—
1410	C₂×D₄	—	10	1	no	—
1411	C₂×D₄	—	10	1	no	—
1412	C₂×D₄	—	40	2	no	—
1413	C₂×D₄	—	40	2	no	—
1414	C₂×D₄	—	40	2	no	—
1415	C₂×D₄	—	40	2	no	—
1416	C₂×D₄	—	40	2	no	—
1417	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1418	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1419	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1420	C₂²×C₄	—	2	1	no	—
1421	C₂²×C₄	—	2	1	no	—
1422	C₂²×C₄	—	2	1	no	—
1423	C₂²×C₄	—	5	1	no	—
1424	C₂²×C₄	—	5	1	no	—
1425	C₂²×C₄	—	5	1	no	—
1426	C₂²×C₄	—	5	1	no	—
1427	C₂²×C₄	—	5	1	no	—
1428	C₂²×C₄	—	5	1	no	—
1429	C₂²×C₄	—	5	1	no	—
1430	C₂²×C₄	—	5	1	no	—
1431	C₂²×C₄	—	5	1	no	—
1432	C₂²×C₄	—	10	2	no	—
1433	C₂²×C₄	—	10	2	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	—	10	1	no	—
1443	C₂²×C₄	—	10	1	no	—
1444	C₂²×C₄	—	10	1	no	—
1445	C₂²×C₄	—	10	1	no	—
1446	C₂²×C₄	—	10	1	no	—
1447	C₂²×C₄	—	10	1	no	—
1448	C₂²×C₄	—	40	2	no	—
1449	C₂²×C₄	—	40	2	no	—
1450	C₂²×C₄	—	40	2	no	—
1451	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1452	SD₁₆	—	4	1	no	—
1453	SD₁₆	—	4	1	no	—
1454	SD₁₆	—	20	1	no	—
1455	SD₁₆	—	20	1	no	—
1456	SD₁₆	—	20	1	no	—
1457	SD₁₆	—	20	1	no	—
1458	SD₁₆	—	20	1	no	—
1459	SD₁₆	—	20	1	no	—
1460	D₈	—	4	1	no	—
1461	D₈	—	4	1	no	—
1462	D₈	—	20	1	no	—
1463	D₈	—	20	1	no	—
1464	D₈	—	20	1	no	—
1465	D₈	—	20	1	no	—
1466	D₈	—	20	1	no	—
1467	D₈	—	20	1	no	—
1468	M₁₆	—	4	1	no	—
1469	M₁₆	—	20	1	no	—
1470	M₁₆	—	20	1	no	—
1471	M₁₆	—	20	1	no	—
1472	C₂×C₈	—	4	1	no	—
1473	C₂×C₈	—	5	1	no	—
1474	C₂×C₈	—	5	1	no	—
1475	C₂×C₈	—	5	1	no	—
1476	C₂×C₈	—	5	1	no	—
1477	C₂×C₈	—	10	2	no	—
1478	C₂×C₈	—	10	2	no	—
1479	C₂×C₈	—	10	2	no	—
1480	C₂×C₈	—	10	2	no	—
1481	C₂×C₈	—	20	1	no	—
1482	C₂×C₈	—	20	1	no	—
1483	C₂×C₈	—	20	1	no	—
1484	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1485	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1486	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1487	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1488	C₄⋊C₄	—	2	1	no	—
1489	C₄⋊C₄	—	2	1	no	—
1490	C₄⋊C₄	—	2	1	no	—
1491	C₄⋊C₄	—	2	1	no	—
1492	C₄⋊C₄	—	2	1	no	—
1493	C₄⋊C₄	—	5	1	no	—
1494	C₄⋊C₄	—	5	1	no	—
1495	C₄⋊C₄	—	5	1	no	—
1496	C₄⋊C₄	—	5	1	no	—
1497	C₄⋊C₄	—	5	1	no	—
1498	C₄⋊C₄	—	5	1	no	—
1499	C₄⋊C₄	—	5	1	no	—
1500	C₄⋊C₄	—	5	1	no	—
1501	C₄⋊C₄	—	5	1	no	—
1502	C₄⋊C₄	—	5	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	—	10	1	no	—
1514	C₄⋊C₄	—	10	1	no	—
1515	C₄⋊C₄	—	10	1	no	—
1516	C₄⋊C₄	—	10	1	no	—
1517	C₄⋊C₄	—	10	1	no	—
1518	C₄⋊C₄	—	10	1	no	—
1519	C₄⋊C₄	—	10	1	no	—
1520	C₄⋊C₄	—	10	1	no	—
1521	C₄⋊C₄	—	10	1	no	—
1522	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1523	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1524	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1525	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1526	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1527	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1528	C₂²⋊C₄	—	2	1	no	—
1529	C₂²⋊C₄	—	2	1	no	—
1530	C₂²⋊C₄	—	2	1	no	—
1531	C₂²⋊C₄	—	2	1	no	—
1532	C₂²⋊C₄	—	2	1	no	—
1533	C₂²⋊C₄	—	2	1	no	—
1534	C₂²⋊C₄	—	2	1	no	—
1535	C₂²⋊C₄	—	2	1	no	—
1536	C₂²⋊C₄	—	2	1	no	—
1537	C₂²⋊C₄	—	5	1	no	—
1538	C₂²⋊C₄	—	5	1	no	—
1539	C₂²⋊C₄	—	5	1	no	—
1540	C₂²⋊C₄	—	5	1	no	—
1541	C₂²⋊C₄	—	5	1	no	—
1542	C₂²⋊C₄	—	5	1	no	—
1543	C₂²⋊C₄	—	10	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	—	10	1	no	—
1554	C₂²⋊C₄	—	10	1	no	—
1555	C₂²⋊C₄	—	10	1	no	—
1556	C₂²⋊C₄	—	10	1	no	—
1557	C₂²⋊C₄	—	10	1	no	—
1558	C₂²⋊C₄	—	10	1	no	—
1559	C₂²⋊C₄	—	10	1	no	—
1560	C₂²⋊C₄	—	10	1	no	—
1561	C₂²⋊C₄	—	10	1	no	—
1562	C₂²⋊C₄	—	10	1	no	—
1563	C₂²⋊C₄	—	10	1	no	—
1564	C₂²⋊C₄	—	10	1	no	—
1565	C₂²⋊C₄	—	10	1	no	—
1566	C₂²⋊C₄	—	10	1	no	—
1567	C₂²⋊C₄	—	10	1	no	—
1568	C₂²⋊C₄	—	10	1	no	—
1569	C₂²⋊C₄	—	10	1	no	—
1570	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1571	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1572	C₄²	—	2	1	no	—
1573	C₄²	—	5	1	no	—
1574	C₄²	—	5	1	no	—
1575	C₄²	—	5	1	no	—
1576	C₄²	—	5	1	no	—
1577	C₄²	—	5	1	no	—
1578	C₄²	—	5	1	no	—
1579	C₄²	—	10	1	no	—
1580	C₄²	—	10	1	no	—
1581	C₄²	—	10	1	no	—
1582	C₄²	C₂³×D₅	1	1	yes	characteristic
1583	C₄²	C₂³×D₅	1	1	yes	characteristic
1584	C₂×C₅	—	4	1	no	—
1585	C₂×C₅	—	8	1	no	—
1586	C₂×C₅	—	8	1	no	—
1587	C₂×C₅	—	8	1	no	—
1588	C₂×C₅	C₂×#537	1	1	yes	characteristic
1589	C₂×C₅	C₂×#576	1	1	yes	characteristic
1590	C₂×C₅	C₂×#577	1	1	yes	characteristic
1591	D₅	—	4	1	no	—
1592	D₅	—	8	1	no	—
1593	D₅	—	8	1	no	—
1594	D₅	—	8	1	no	—
1595	D₅	#3257	1	4	yes	direct product factor
1596	C₂³	—	2	1	no	—
1597	C₂³	—	2	1	no	—
1598	C₂³	—	2	1	no	—
1599	C₂³	—	5	1	no	—
1600	C₂³	—	5	1	no	—
1601	C₂³	—	10	2	no	—
1602	C₂³	—	10	2	no	—
1603	C₂³	—	10	2	no	—
1604	C₂³	—	10	1	no	—
1605	C₂³	—	10	1	no	—
1606	C₂³	—	10	1	no	—
1607	C₂³	—	20	2	no	—
1608	C₂³	—	20	2	no	—
1609	C₂³	—	20	2	no	—
1610	C₂³	—	20	2	no	—
1611	C₂³	—	20	2	no	—
1612	C₂³	—	20	2	no	—
1613	C₂³	—	20	2	no	—
1614	C₂³	—	20	2	no	—
1615	C₂³	—	20	2	no	—
1616	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1617	Q₈	—	2	1	no	—
1618	Q₈	—	2	1	no	—
1619	Q₈	—	8	1	no	—
1620	Q₈	—	10	1	no	—
1621	Q₈	—	10	1	no	—
1622	Q₈	—	20	2	no	—
1623	Q₈	—	40	1	no	—
1624	Q₈	—	40	1	no	—
1625	Q₈	—	40	1	no	—
1626	D₄	—	2	1	no	—
1627	D₄	—	2	1	no	—
1628	D₄	—	2	1	no	—
1629	D₄	—	2	1	no	—
1630	D₄	—	2	1	no	—
1631	D₄	—	2	1	no	—
1632	D₄	—	8	1	no	—
1633	D₄	—	8	1	no	—
1634	D₄	—	8	1	no	—
1635	D₄	—	8	1	no	—
1636	D₄	—	8	1	no	—
1637	D₄	—	10	1	no	—
1638	D₄	—	10	1	no	—
1639	D₄	—	10	1	no	—
1640	D₄	—	10	1	no	—
1641	D₄	—	10	1	no	—
1642	D₄	—	10	1	no	—
1643	D₄	—	20	2	no	—
1644	D₄	—	20	2	no	—
1645	D₄	—	20	2	no	—
1646	D₄	—	40	1	no	—
1647	D₄	—	40	1	no	—
1648	D₄	—	40	1	no	—
1649	D₄	—	40	1	no	—
1650	D₄	—	40	1	no	—
1651	D₄	—	40	1	no	—
1652	D₄	—	40	1	no	—
1653	D₄	—	40	1	no	—
1654	D₄	—	40	1	no	—
1655	D₄	—	40	1	no	—
1656	D₄	—	40	1	no	—
1657	D₄	—	40	1	no	—
1658	D₄	—	40	1	no	—
1659	D₄	—	40	1	no	—
1660	D₄	—	40	1	no	—
1661	C₂×C₄	—	2	1	no	—
1662	C₂×C₄	—	2	1	no	—
1663	C₂×C₄	—	2	1	no	—
1664	C₂×C₄	—	2	1	no	—
1665	C₂×C₄	—	2	1	no	—
1666	C₂×C₄	—	2	1	no	—
1667	C₂×C₄	—	2	1	no	—
1668	C₂×C₄	—	5	1	no	—
1669	C₂×C₄	—	5	2	no	—
1670	C₂×C₄	—	5	2	no	—
1671	C₂×C₄	—	5	1	no	—
1672	C₂×C₄	—	5	1	no	—
1673	C₂×C₄	—	5	1	no	—
1674	C₂×C₄	—	5	1	no	—
1675	C₂×C₄	—	5	1	no	—
1676	C₂×C₄	—	8	1	no	—
1677	C₂×C₄	—	8	1	no	—
1678	C₂×C₄	—	8	1	no	—
1679	C₂×C₄	—	10	2	no	—
1680	C₂×C₄	—	10	2	no	—
1681	C₂×C₄	—	10	2	no	—
1682	C₂×C₄	—	10	2	no	—
1683	C₂×C₄	—	10	2	no	—
1684	C₂×C₄	—	10	2	no	—
1685	C₂×C₄	—	10	2	no	—
1686	C₂×C₄	—	10	1	no	—
1687	C₂×C₄	—	10	1	no	—
1688	C₂×C₄	—	10	1	no	—
1689	C₂×C₄	—	10	1	no	—
1690	C₂×C₄	—	10	1	no	—
1691	C₂×C₄	—	10	1	no	—
1692	C₂×C₄	—	10	1	no	—
1693	C₂×C₄	—	20	2	no	—
1694	C₂×C₄	—	20	2	no	—
1695	C₂×C₄	—	20	2	no	—
1696	C₂×C₄	—	20	2	no	—
1697	C₂×C₄	—	20	2	no	—
1698	C₂×C₄	—	40	1	no	—
1699	C₂×C₄	—	40	1	no	—
1700	C₂×C₄	—	40	1	no	—
1701	C₂×C₄	—	40	1	no	—
1702	C₂×C₄	—	40	1	no	—
1703	C₂×C₄	—	40	1	no	—
1704	C₂×C₄	—	40	1	no	—
1705	C₂×C₄	—	40	1	no	—
1706	C₂×C₄	—	40	1	no	—
1707	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1708	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1709	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1710	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1711	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1712	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1713	C₈	—	2	1	no	—
1714	C₈	—	2	1	no	—
1715	C₈	—	2	1	no	—
1716	C₈	—	2	1	no	—
1717	C₈	—	10	1	no	—
1718	C₈	—	10	1	no	—
1719	C₈	—	10	1	no	—
1720	C₈	—	10	1	no	—
1721	C₅	C₂×#3257	1	1	yes	characteristic, complemented, Sylow
1722	C₂²	—	2	1	no	—
1723	C₂²	—	2	1	no	—
1724	C₂²	—	2	1	no	—
1725	C₂²	—	4	1	no	—
1726	C₂²	—	4	1	no	—
1727	C₂²	—	4	1	no	—
1728	C₂²	—	4	1	no	—
1729	C₂²	—	4	1	no	—
1730	C₂²	—	4	1	no	—
1731	C₂²	—	4	1	no	—
1732	C₂²	—	4	1	no	—
1733	C₂²	—	4	1	no	—
1734	C₂²	—	5	2	no	—
1735	C₂²	—	5	2	no	—
1736	C₂²	—	5	2	no	—
1737	C₂²	—	10	1	no	—
1738	C₂²	—	10	1	no	—
1739	C₂²	—	10	1	no	—
1740	C₂²	—	20	4	no	—
1741	C₂²	—	20	1	no	—
1742	C₂²	—	20	1	no	—
1743	C₂²	—	20	1	no	—
1744	C₂²	—	20	1	no	—
1745	C₂²	—	20	1	no	—
1746	C₂²	—	20	1	no	—
1747	C₂²	—	20	1	no	—
1748	C₂²	—	20	1	no	—
1749	C₂²	—	20	1	no	—
1750	C₂²	—	40	4	no	—
1751	C₂²	—	40	4	no	—
1752	C₂²	—	40	4	no	—
1753	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1754	C₄	—	2	1	no	—
1755	C₄	—	2	1	no	—
1756	C₄	—	2	1	no	—
1757	C₄	—	2	1	no	—
1758	C₄	—	2	1	no	—
1759	C₄	—	4	1	no	—
1760	C₄	—	4	1	no	—
1761	C₄	—	4	1	no	—
1762	C₄	—	4	1	no	—
1763	C₄	—	4	1	no	—
1764	C₄	—	5	2	no	—
1765	C₄	—	10	1	no	—
1766	C₄	—	10	1	no	—
1767	C₄	—	10	1	no	—
1768	C₄	—	10	1	no	—
1769	C₄	—	10	1	no	—
1770	C₄	—	20	1	no	—
1771	C₄	—	20	1	no	—
1772	C₄	—	20	1	no	—
1773	C₄	—	20	1	no	—
1774	C₄	—	20	1	no	—
1775	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1776	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1777	C₂	—	4	1	no	—
1778	C₂	—	5	4	no	—
1779	C₂	—	8	1	no	—
1780	C₂	—	8	1	no	—
1781	C₂	—	8	1	no	—
1782	C₂	—	20	1	no	—
1783	C₂	—	40	1	no	—
1784	C₂	—	40	1	no	—
1785	C₂	—	40	1	no	—
1786	C₂	D₅×#537	1	1	yes	characteristic
1787	C₂	D₅×#576	1	1	yes	characteristic
1788	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×#3257	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3257	D₅
hypocenter	C₅	C₂×#3257
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3257

Complements

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

N	H ≅ G/N	type
1. D₅×#542	C₂	semidirect
2. D₅×#540	C₂	semidirect
3. C₅×#3257	C₂	semidirect
4. #10615196	C₂	semidirect
5. #10615168	C₂	semidirect
6. #10612994	C₂	semidirect
7. D₅×#479	C₂	semidirect
8. #10612913	C₂	semidirect
9. D₅×#478	C₂	semidirect
10. D₅×#476	C₂	semidirect
11. #10612781	C₂	semidirect
12. D₅×#474	C₂	semidirect
13. #10612685	C₂	semidirect
14. D₅×#469	C₂	semidirect
15. #10612588	C₂	semidirect
16. D₅×#468	C₂	semidirect
17. #10612527	C₂	semidirect
18. D₅×#466	C₂	semidirect
19. #10612436	C₂	semidirect
20. D₅×#465	C₂	semidirect
21. #10612375	C₂	semidirect
22. D₅×#463	C₂	semidirect
23. D₅×#463	C₂	semidirect
24. #10612246	C₂	semidirect
25. #10612245	C₂	semidirect
26. #10612134	C₂	semidirect
27. D₅×#460	C₂	semidirect
28. #10612077	C₂	semidirect
29. D₅×#459	C₂	semidirect
30. #10610824	C₂	semidirect
31. D₅×#424	C₂	semidirect
32. C₅×#542	C₂²	semidirect
33. C₅×#540	C₂²	semidirect
40. #66067	C₂²	semidirect
42. #66053	C₂²	semidirect
46. #66032	C₂²	semidirect
48. #66016	C₂²	semidirect
58. #65977	C₂²	semidirect
62. #65953	C₂²	semidirect
63. #65953	C₂²	semidirect
71. #65937	C₂²	semidirect
72. #65916	C₂²	semidirect
74. #65896	C₂²	semidirect
75. #65896	C₂²	semidirect
76. #65895	C₂²	semidirect
80. #65869	C₂²	semidirect
81. #65868	C₂²	semidirect
83. C₅×#479	C₂²	semidirect
84. C₅×#478	C₂²	semidirect
85. C₅×#476	C₂²	semidirect
86. C₅×#474	C₂²	semidirect
87. C₅×#469	C₂²	semidirect
88. C₅×#468	C₂²	semidirect
89. C₅×#466	C₂²	semidirect
90. C₅×#465	C₂²	semidirect
91. C₅×#463	C₂²	semidirect
92. C₅×#463	C₂²	semidirect
93. C₅×#460	C₂²	semidirect
94. C₅×#459	C₂²	semidirect
95. C₅×#424	C₂²	semidirect
96. #65463	C₂²	semidirect
97. #65460	C₂²	semidirect
98. #65454	C₂²	semidirect
99. #65454	C₂²	semidirect
100. #65452	C₂²	semidirect
101. #65452	C₂²	semidirect
102. #65448	C₂²	semidirect
103. #65446	C₂²	semidirect
104. #65442	C₂²	semidirect
105. #65442	C₂²	semidirect
106. #65439	C₂²	semidirect
107. #65439	C₂²	semidirect
108. #65424	C₂²	semidirect
109. #65423	C₂²	semidirect
110. #65408	C₂²	semidirect
111. #65404	C₂²	semidirect
112. #65403	C₂²	semidirect
113. #65391	C₂²	semidirect
114. #65376	C₂²	semidirect
115. #65373	C₂²	semidirect
116. #65364	C₂²	semidirect
117. #65361	C₂²	semidirect
118. #65355	C₂²	semidirect
119. #65352	C₂²	semidirect
120. #65346	C₂²	semidirect
121. #65346	C₂²	semidirect
122. #65338	C₂²	semidirect
123. #65337	C₂²	semidirect
124. #65331	C₂²	semidirect
125. #65330	C₂²	semidirect
126. #65328	C₂²	semidirect
127. #65328	C₂²	semidirect
128. #65327	C₂²	semidirect
129. #65327	C₂²	semidirect
130. #65316	C₂²	semidirect
131. #65311	C₂²	semidirect
132. #65305	C₂²	semidirect
133. #65305	C₂²	semidirect
134. #65304	C₂²	semidirect
135. #65298	C₂²	semidirect
136. #65297	C₂²	semidirect
137. #65296	C₂²	semidirect
138. #65288	C₂²	semidirect
139. #65180	C₂²	semidirect
140. #65179	C₂²	semidirect
141. #65179	C₂²	semidirect
142. #65175	C₂²	semidirect
143. #65172	C₂²	semidirect
146. #65166	C₂²	semidirect
147. #65160	C₂²	semidirect
148. #65159	C₂²	semidirect
149. #65159	C₂²	semidirect
150. #65154	C₂²	semidirect
151. #65153	C₂²	semidirect
154. #65146	C₂²	semidirect
155. #65137	C₂²	semidirect
156. #65136	C₂²	semidirect
157. #65135	C₂²	semidirect
158. #65133	C₂²	semidirect
159. #65133	C₂²	semidirect
160. #65132	C₂²	semidirect
161. #65131	C₂²	semidirect
162. #65128	C₂²	semidirect
163. #65128	C₂²	semidirect
164. #65128	C₂²	semidirect
165. #65128	C₂²	semidirect
170. #65118	C₂²	semidirect
171. #65108	C₂²	semidirect
172. #65108	C₂²	semidirect
173. #65101	C₂²	semidirect
174. #65096	C₂²	semidirect
177. #65088	C₂²	semidirect
178. #65085	C₂²	semidirect
179. #65076	C₂²	semidirect
180. #65076	C₂²	semidirect
181. #65075	C₂²	semidirect
182. #65075	C₂²	semidirect
183. #65071	C₂²	semidirect
184. #65071	C₂²	semidirect
185. #65069	C₂²	semidirect
186. #65067	C₂²	semidirect
187. #65064	C₂²	semidirect
188. #65064	C₂²	semidirect
195. #65055	C₂²	semidirect
196. #65052	C₂²	semidirect
197. #65051	C₂²	semidirect
198. #65051	C₂²	semidirect
199. #65050	C₂²	semidirect
200. #65050	C₂²	semidirect
201. #65048	C₂²	semidirect
202. #65048	C₂²	semidirect
502. #3257	D₅	direct (N × H)
751. #542	C₂×D₅	semidirect
763. #540	C₂×D₅	semidirect
792. #479	C₂×D₅	semidirect
800. #478	C₂×D₅	semidirect
808. #476	C₂×D₅	semidirect
816. #474	C₂×D₅	semidirect
824. #469	C₂×D₅	semidirect
832. #468	C₂×D₅	semidirect
840. #466	C₂×D₅	semidirect
848. #465	C₂×D₅	semidirect
863. #463	C₂×D₅	semidirect
864. #463	C₂×D₅	semidirect
872. #460	C₂×D₅	semidirect
880. #459	C₂×D₅	semidirect
892. #424	C₂×D₅	semidirect
1595. D₅	#3257	direct (N × H)
1721. C₅	C₂×#3257	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×#540	2
C₅×#3257	2
#10615196	2
#10615168	2
#10612994	2
D₅×#479	2
#10612913	2
D₅×#478	2
D₅×#476	2
#10612781	2
D₅×#474	2
#10612685	2
D₅×#469	2
#10612588	2
D₅×#468	2
#10612527	2
D₅×#466	2
#10612436	2
D₅×#465	2
#10612375	2
D₅×#463	2
#10612246	2
#10612245	2
#10612134	2
D₅×#460	2
#10612077	2
D₅×#459	2
#10610824	2
D₅×#424	2
C₂×#3257	5

Subgroups — D5×#3257 #12972202

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅×#3257 #12972202