Subgroups — D₅×#3510 #13007782

Order 1280.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3510	C₂	1	1	yes	maximal, characteristic, complemented
2	D₅×#559	C₂	1	4	yes	maximal, complemented
3	#10618953	C₂	1	4	yes	maximal, complemented
4	D₅×#556	C₂	1	4	yes	maximal, complemented
5	#10618885	C₂	1	4	yes	maximal, complemented
6	D₅×#551	C₂	1	8	yes	maximal, complemented
7	#10618695	C₂	1	8	yes	maximal, complemented
8	#10618453	C₂	1	4	yes	maximal, complemented
9	D₅×#542	C₂	1	4	yes	maximal, complemented
10	D₅×#536	C₂	1	1	yes	maximal, characteristic, complemented
11	#10618245	C₂	1	1	yes	maximal, characteristic, complemented
12	D₅×#535	C₂	1	1	yes	maximal, characteristic
13	#10618221	C₂	1	1	yes	maximal, characteristic, complemented
14	D₅×#533	C₂	1	1	yes	maximal, characteristic, complemented
15	#10618164	C₂	1	1	yes	maximal, characteristic, complemented
16	#10618060	C₂	1	4	yes	maximal, complemented
17	D₅×#529	C₂	1	4	yes	maximal, complemented
18	C₂×D₅×#124	C₂	1	1	yes	maximal, characteristic, complemented
19	#10617966	C₂	1	1	yes	maximal, characteristic, complemented
20	D₅×#519	C₂	1	1	yes	maximal, characteristic, complemented
21	#10617778	C₂	1	1	yes	maximal, characteristic, complemented
22	D₅×#518	C₂	1	1	yes	maximal, characteristic, complemented
23	#10617764	C₂	1	1	yes	maximal, characteristic, complemented
24	#10617750	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×D₅×#41	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×D₅×#41	C₂²	1	1	yes	characteristic
27	C₂²×Q₈×D₅	C₂²	1	1	yes	characteristic
28	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
29	C₅×#559	C₂²	1	4	yes	complemented
30	C₅×#556	C₂²	1	4	yes	complemented
31	C₅×#551	C₂²	1	8	yes	complemented
32	C₅×#542	C₂²	1	4	yes	complemented
33	C₅×#536	C₂²	1	1	yes	characteristic, complemented
34	C₅×#535	C₂²	1	1	yes	characteristic
35	C₅×#533	C₂²	1	1	yes	characteristic, complemented
36	C₅×#529	C₂²	1	4	yes	complemented
37	C₂×C₅×#124	C₂²	1	1	yes	characteristic, complemented
38	C₅×#519	C₂²	1	1	yes	characteristic, complemented
39	C₅×#518	C₂²	1	1	yes	characteristic, complemented
40	C₄×C₅×#41	C₂²	1	1	yes	characteristic, complemented
41	#66164	C₂²	1	1	yes	characteristic
42	#41×Dic₅	C₂²	1	1	yes	characteristic, complemented
43	#66159	C₂²	1	1	yes	characteristic, complemented
44	#66150	C₂²	1	1	yes	characteristic, complemented
45	C₂×#4093	C₂²	1	1	yes	characteristic, complemented
46	#66146	C₂²	1	1	yes	characteristic, complemented
47	#66139	C₂²	1	1	yes	characteristic
48	#66132	C₂²	1	1	yes	characteristic, complemented
49	C₂×#4082	C₂²	1	1	yes	characteristic, complemented
50	#66067	C₂²	1	4	yes	complemented
51	#66066	C₂²	1	4	yes	complemented
52	#66062	C₂²	1	2	yes	complemented
53	#66058	C₂²	1	2	yes	complemented
54	D₅×C₄⋊Q₈	C₂²	1	2	yes	complemented
55	D₅×C₄⋊Q₈	C₂²	1	2	yes	complemented
56	#66049	C₂²	1	2	yes	—
57	D₅×#127	C₂²	1	2	yes	—
58	#66047	C₂²	1	4	yes	complemented
59	#66044	C₂²	1	8	yes	complemented
60	#66040	C₂²	1	8	yes	complemented
61	#66039	C₂²	1	8	yes	complemented
62	#66039	C₂²	1	8	yes	complemented
63	D₅×#126	C₂²	1	8	yes	complemented
64	D₅×#126	C₂²	1	8	yes	complemented
65	#66036	C₂²	1	8	yes	complemented
66	#66036	C₂²	1	8	yes	complemented
67	#66025	C₂²	1	4	yes	complemented
68	#66022	C₂²	1	2	yes	complemented
69	D₅×#125	C₂²	1	2	yes	complemented
70	#66016	C₂²	1	4	yes	complemented
71	#66015	C₂²	1	4	yes	complemented
72	#66015	C₂²	1	4	yes	complemented
73	#66015	C₂²	1	8	yes	complemented
74	#66014	C₂²	1	4	yes	complemented
75	#66013	C₂²	1	8	yes	complemented
76	#66009	C₂²	1	2	yes	complemented
77	#66008	C₂²	1	2	yes	—
78	D₅×#124	C₂²	1	2	yes	—
79	D₅×#124	C₂²	1	4	yes	—
80	D₅×#124	C₂²	1	2	yes	—
81	D₅×#124	C₂²	1	2	yes	—
82	D₅×#124	C₂²	1	4	yes	complemented
83	D₅×#124	C₂²	1	2	yes	complemented
84	D₅×#124	C₂²	1	2	yes	complemented
85	D₅×#124	C₂²	1	8	yes	complemented
86	D₅×#124	C₂²	1	2	yes	complemented
87	#66005	C₂²	1	4	yes	complemented
88	#66005	C₂²	1	4	yes	complemented
89	#66003	C₂²	1	8	yes	complemented
90	#65998	C₂²	1	8	yes	complemented
91	#65998	C₂²	1	8	yes	complemented
92	#65996	C₂²	1	8	yes	complemented
93	#65993	C₂²	1	8	yes	complemented
94	#65992	C₂²	1	8	yes	complemented
95	#65992	C₂²	1	8	yes	complemented
96	D₅×#123	C₂²	1	4	yes	—
97	D₅×#123	C₂²	1	8	yes	complemented
98	D₅×#123	C₂²	1	8	yes	complemented
99	#65983	C₂²	1	8	yes	complemented
100	#65982	C₂²	1	4	yes	complemented
101	#65977	C₂²	1	4	yes	complemented
102	#65975	C₂²	1	8	yes	complemented
103	#65974	C₂²	1	8	yes	complemented
104	#65971	C₂²	1	8	yes	complemented
105	#65971	C₂²	1	8	yes	complemented
106	#65962	C₂²	1	4	yes	complemented
107	D₅×C₂²⋊Q₈	C₂²	1	4	yes	—
108	D₅×C₂²⋊Q₈	C₂²	1	8	yes	complemented
109	D₅×C₂²⋊Q₈	C₂²	1	4	yes	complemented
110	#65958	C₂²	1	4	yes	complemented
111	#65956	C₂²	1	4	yes	complemented
112	#65941	C₂²	1	4	yes	—
113	D₅×#121	C₂²	1	4	yes	—
114	#65937	C₂²	1	4	yes	complemented
115	#65934	C₂²	1	4	yes	complemented
116	#65926	C₂²	1	4	yes	—
117	D₅×#120	C₂²	1	4	yes	—
118	#65921	C₂²	1	8	yes	complemented
119	#65919	C₂²	1	4	yes	complemented
120	#65919	C₂²	1	4	yes	complemented
121	#65918	C₂²	1	4	yes	complemented
122	#65916	C₂²	1	4	yes	complemented
123	#65914	C₂²	1	4	yes	complemented
124	#65912	C₂²	1	4	yes	complemented
125	C₄×#713	C₂²	1	2	yes	complemented
126	#65906	C₂²	1	4	yes	complemented
127	#65906	C₂²	1	4	yes	complemented
128	C₄×Q₈×D₅	C₂²	1	2	yes	complemented
129	C₄×Q₈×D₅	C₂²	1	4	yes	complemented
130	C₄×Q₈×D₅	C₂²	1	4	yes	complemented
131	C₄×Q₈×D₅	C₂²	1	4	yes	complemented
132	#65902	C₂²	1	4	yes	complemented
133	#65902	C₂²	1	4	yes	complemented
134	#65895	C₂²	1	4	yes	complemented
135	#65893	C₂²	1	4	yes	complemented
136	#65893	C₂²	1	4	yes	complemented
137	#65893	C₂²	1	8	yes	complemented
138	#65891	C₂²	1	4	yes	complemented
139	#65890	C₂²	1	8	yes	complemented
140	#65890	C₂²	1	8	yes	complemented
141	#65879	C₂²	1	4	yes	complemented
142	#65879	C₂²	1	4	yes	complemented
143	C₄×D₄×D₅	C₂²	1	4	yes	—
144	C₄×D₄×D₅	C₂²	1	4	yes	—
145	C₄×D₄×D₅	C₂²	1	4	yes	—
146	C₄×D₄×D₅	C₂²	1	2	yes	complemented
147	C₄×D₄×D₅	C₂²	1	8	yes	complemented
148	#65876	C₂²	1	4	yes	complemented
149	#65872	C₂²	1	8	yes	complemented
150	C₄×#711	C₂²	1	4	yes	complemented
151	C₄×#711	C₂²	1	2	yes	complemented
152	#65868	C₂²	1	4	yes	complemented
153	#65867	C₂²	1	8	yes	complemented
154	#65862	C₂²	1	8	yes	complemented
155	#65861	C₂²	1	8	yes	complemented
156	#65861	C₂²	1	8	yes	complemented
157	#65860	C₂²	1	1	yes	characteristic, complemented
158	#65859	C₂²	1	1	yes	characteristic
159	#65856	C₂²	1	1	yes	characteristic, complemented
160	#65856	C₂²	1	2	yes	complemented
161	#65855	C₂²	1	1	yes	characteristic, complemented
162	#65855	C₂²	1	1	yes	characteristic, complemented
163	D₅×#117	C₂²	1	1	yes	characteristic
164	D₅×#117	C₂²	1	1	yes	characteristic
165	D₅×#117	C₂²	1	4	yes	—
166	D₅×#117	C₂²	1	1	yes	characteristic
167	D₅×#117	C₂²	1	8	yes	complemented
168	D₅×#117	C₂²	1	2	yes	complemented
169	#65851	C₂²	1	1	yes	characteristic, complemented
170	#65851	C₂²	1	1	yes	characteristic, complemented
171	#65850	C₂²	1	1	yes	characteristic, complemented
172	#65850	C₂²	1	4	yes	complemented
173	#65850	C₂²	1	1	yes	characteristic, complemented
174	#65829	C₂²	1	8	yes	complemented
175	#65829	C₂²	1	8	yes	complemented
176	C₂×#4031	C₂²	1	4	yes	complemented
177	#65820	C₂²	1	4	yes	complemented
178	C₂×D₅×C₂²⋊C₄	C₂²	1	4	yes	—
179	C₂×D₅×C₂²⋊C₄	C₂²	1	4	yes	—
180	#65813	C₂²	1	4	yes	complemented
181	C₂×#4021	C₂²	1	1	yes	characteristic, complemented
182	C₄×#709	C₂²	1	1	yes	characteristic, complemented
183	C₄×#709	C₂²	1	2	yes	complemented
184	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
185	C₂×C₄²×D₅	C₂²	1	2	yes	complemented
186	#65804	C₂²	1	1	yes	characteristic, complemented
187	C₂×#3510	—	5	1	no	maximal, Sylow
188	C₂⁴×D₅	C₂³	1	2	yes	—
189	C₂×C₅×#41	C₂³	1	1	yes	characteristic
190	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
191	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
193	D₅×#41	—	2	8	no	—
194	C₂×#713	C₂³	1	1	yes	characteristic
195	C₂×Q₈×D₅	—	2	8	no	—
196	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
197	C₂×Q₈×D₅	C₂³	1	2	yes	—
198	C₂×Q₈×D₅	C₂³	1	2	yes	—
199	C₂×Q₈×D₅	C₂³	1	2	yes	—
200	C₂×Q₈×D₅	C₂³	1	2	yes	—
201	C₂×Q₈×D₅	C₂³	1	4	yes	—
202	C₂×#711	C₂³	1	1	yes	characteristic
203	C₂×#711	C₂³	1	2	yes	—
204	C₂×D₄×D₅	—	2	8	no	—
205	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
206	C₂×D₄×D₅	C₂³	1	2	yes	—
207	C₂×D₄×D₅	C₂³	1	2	yes	—
208	C₂×D₄×D₅	C₂³	1	2	yes	—
209	C₂×D₄×D₅	C₂³	1	2	yes	—
210	C₂×D₄×D₅	C₂³	1	2	yes	—
211	C₂×D₄×D₅	C₂³	1	8	yes	—
212	C₂×#709	C₂³	1	1	yes	characteristic
213	C₂×#709	C₂³	1	2	yes	—
214	C₂²×D₂₀	C₂³	1	1	yes	characteristic
215	C₂²×C₄×D₅	C₂³	1	2	yes	—
216	C₂²×C₄×D₅	C₂³	1	2	yes	—
217	C₂²×C₄×D₅	C₂³	1	2	yes	—
218	C₂²×C₄×D₅	C₂³	1	4	yes	—
219	C₂²×C₄×D₅	C₂³	1	8	yes	—
220	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
221	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
222	C₂²×Dic₁₀	C₂³	1	2	yes	—
223	C₅×C₄⋊Q₈	C₂³	1	2	yes	complemented
224	C₅×C₄⋊Q₈	C₂³	1	2	yes	complemented
225	C₅×#127	C₂³	1	2	yes	—
226	C₅×#126	C₂³	1	8	yes	complemented
227	C₅×#126	C₂³	1	8	yes	complemented
228	C₅×#125	C₂³	1	2	yes	complemented
229	C₅×#124	C₂³	1	2	yes	—
230	C₅×#124	C₂³	1	2	yes	—
231	C₅×#124	C₂³	1	4	yes	—
232	C₅×#124	C₂³	1	2	yes	—
233	C₅×#124	C₂³	1	2	yes	complemented
234	C₅×#124	C₂³	1	8	yes	complemented
235	C₅×#123	C₂³	1	4	yes	—
236	C₅×#123	C₂³	1	8	yes	complemented
237	C₅×#123	C₂³	1	8	yes	complemented
238	C₅×C₂²⋊Q₈	C₂³	1	4	yes	—
239	C₅×C₂²⋊Q₈	C₂³	1	4	yes	complemented
240	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
241	C₅×#121	C₂³	1	4	yes	—
242	C₅×#120	C₂³	1	4	yes	—
243	C₄×C₅×Q₈	C₂³	1	2	yes	complemented
244	C₄×C₅×Q₈	C₂³	1	4	yes	complemented
245	C₄×C₅×Q₈	C₂³	1	4	yes	complemented
246	C₄×C₅×Q₈	C₂³	1	4	yes	complemented
247	C₄×C₅×D₄	C₂³	1	4	yes	—
248	C₄×C₅×D₄	C₂³	1	4	yes	—
249	C₄×C₅×D₄	C₂³	1	4	yes	—
250	C₄×C₅×D₄	C₂³	1	2	yes	complemented
251	C₄×C₅×D₄	C₂³	1	8	yes	complemented
252	C₅×#117	C₂³	1	1	yes	characteristic
253	C₅×#117	C₂³	1	1	yes	characteristic
254	C₅×#117	C₂³	1	4	yes	—
255	C₅×#117	C₂³	1	1	yes	characteristic
256	C₅×#117	C₂³	1	2	yes	complemented
257	C₅×#117	C₂³	1	8	yes	complemented
258	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
259	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
260	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
261	C₂×C₄²×C₅	C₂³	1	2	yes	complemented
262	#4099	C₂³	1	4	yes	—
263	C₂×C₂²⋊Dic₅	C₂³	1	4	yes	—
264	C₂×C₂²⋊Dic₅	C₂³	1	4	yes	—
265	#4093	C₂³	1	2	yes	—
266	#4093	C₂³	1	4	yes	—
267	#4093	C₂³	1	2	yes	—
268	#4093	C₂³	1	2	yes	—
269	#4093	C₂³	1	2	yes	complemented
270	#4093	C₂³	1	8	yes	complemented
271	#4092	C₂³	1	4	yes	—
272	#4092	C₂³	1	8	yes	complemented
273	#4092	C₂³	1	4	yes	complemented
274	Q₈×Dic₅	C₂³	1	4	yes	complemented
275	Q₈×Dic₅	C₂³	1	2	yes	complemented
276	Q₈×Dic₅	C₂³	1	4	yes	complemented
277	Q₈×Dic₅	C₂³	1	4	yes	complemented
278	#4090	C₂³	1	2	yes	complemented
279	#4090	C₂³	1	2	yes	complemented
280	#4090	C₂³	1	4	yes	complemented
281	#4086	C₂³	1	2	yes	—
282	#4086	C₂³	1	2	yes	—
283	#4086	C₂³	1	8	yes	—
284	#4085	C₂³	1	8	yes	—
285	#4084	C₂³	1	4	yes	—
286	#4083	C₂³	1	8	yes	—
287	#4083	C₂³	1	4	yes	—
288	#4082	C₂³	1	2	yes	—
289	#4082	C₂³	1	4	yes	—
290	#4082	C₂³	1	2	yes	—
291	#4082	C₂³	1	2	yes	—
292	#4082	C₂³	1	2	yes	complemented
293	#4082	C₂³	1	8	yes	complemented
294	#4081	C₂³	1	4	yes	—
295	#4081	C₂³	1	8	yes	complemented
296	#4081	C₂³	1	8	yes	complemented
297	D₄×Dic₅	C₂³	1	4	yes	—
298	D₄×Dic₅	C₂³	1	4	yes	—
299	D₄×Dic₅	C₂³	1	4	yes	—
300	D₄×Dic₅	C₂³	1	2	yes	complemented
301	D₄×Dic₅	C₂³	1	8	yes	complemented
302	#4076	C₂³	1	4	yes	—
303	#4075	C₂³	1	4	yes	—
304	#4075	C₂³	1	8	yes	complemented
305	#4075	C₂³	1	8	yes	complemented
306	C₄×C₂²⋊D₅	C₂³	1	4	yes	—
307	C₄×C₂²⋊D₅	C₂³	1	4	yes	—
308	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
309	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
310	C₄×C₂²⋊D₅	C₂³	1	4	yes	complemented
311	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
312	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
313	C₂×#685	C₂³	1	4	yes	—
314	C₂×#685	C₂³	1	4	yes	—
315	C₂×#685	C₂³	1	8	yes	—
316	#4072	C₂³	1	1	yes	characteristic
317	#4072	C₂³	1	1	yes	characteristic
318	#4072	C₂³	1	1	yes	characteristic
319	#4072	C₂³	1	4	yes	—
320	#4072	C₂³	1	2	yes	complemented
321	#4072	C₂³	1	8	yes	complemented
322	#4070	C₂³	1	4	yes	—
323	#4070	C₂³	1	4	yes	complemented
324	#4070	C₂³	1	8	yes	complemented
325	C₂×C₄×Dic₅	C₂³	1	2	yes	—
326	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
327	C₂×C₄×Dic₅	C₂³	1	2	yes	complemented
328	C₂×C₄×Dic₅	C₂³	1	4	yes	complemented
329	#4044	C₂³	1	8	yes	complemented
330	#4044	C₂³	1	8	yes	complemented
331	#4044	C₂³	1	8	yes	complemented
332	#4044	C₂³	1	8	yes	complemented
333	#4044	C₂³	1	8	yes	complemented
334	#4044	C₂³	1	8	yes	complemented
335	#4043	C₂³	1	4	yes	—
336	#4043	C₂³	1	8	yes	complemented
337	#4043	C₂³	1	4	yes	complemented
338	#4042	C₂³	1	4	yes	—
339	#4042	C₂³	1	4	yes	—
340	#4042	C₂³	1	8	yes	complemented
341	#4042	C₂³	1	8	yes	complemented
342	#4042	C₂³	1	8	yes	complemented
343	#4041	C₂³	1	4	yes	—
344	#4040	C₂³	1	8	yes	—
345	#4040	C₂³	1	8	yes	complemented
346	#4040	C₂³	1	8	yes	complemented
347	#4040	C₂³	1	8	yes	complemented
348	#4040	C₂³	1	8	yes	complemented
349	#4039	C₂³	1	4	yes	—
350	#4039	C₂³	1	4	yes	—
351	#4039	C₂³	1	4	yes	—
352	#4039	C₂³	1	2	yes	complemented
353	#4039	C₂³	1	8	yes	complemented
354	#4038	C₂³	1	2	yes	—
355	#4038	C₂³	1	2	yes	—
356	#4038	C₂³	1	2	yes	—
357	#4038	C₂³	1	8	yes	—
358	#4038	C₂³	1	8	yes	complemented
359	#4038	C₂³	1	8	yes	complemented
360	#4038	C₂³	1	4	yes	complemented
361	D₅×C₄⋊C₄	C₂³	1	2	yes	—
362	D₅×C₄⋊C₄	C₂³	1	2	yes	—
363	D₅×C₄⋊C₄	C₂³	1	8	yes	—
364	D₅×C₄⋊C₄	C₂³	1	4	yes	—
365	D₅×C₄⋊C₄	C₂³	1	2	yes	—
366	D₅×C₄⋊C₄	C₂³	1	8	yes	—
367	D₅×C₄⋊C₄	C₂³	1	4	yes	—
368	D₅×C₄⋊C₄	C₂³	1	4	yes	—
369	D₅×C₄⋊C₄	C₂³	1	4	yes	—
370	#4036	C₂³	1	2	yes	complemented
371	#4036	C₂³	1	2	yes	complemented
372	#4035	C₂³	1	4	yes	complemented
373	#4035	C₂³	1	4	yes	complemented
374	#4034	C₂³	1	2	yes	complemented
375	#4034	C₂³	1	2	yes	complemented
376	#4034	C₂³	1	8	yes	complemented
377	#4034	C₂³	1	4	yes	complemented
378	#4033	C₂³	1	4	yes	complemented
379	#4033	C₂³	1	4	yes	complemented
380	#4033	C₂³	1	4	yes	complemented
381	#4033	C₂³	1	8	yes	complemented
382	#4033	C₂³	1	8	yes	complemented
383	#4033	C₂³	1	2	yes	complemented
384	#4033	C₂³	1	4	yes	complemented
385	#4033	C₂³	1	4	yes	complemented
386	#4033	C₂³	1	4	yes	complemented
387	#4032	C₂³	1	4	yes	—
388	#4032	C₂³	1	8	yes	complemented
389	#4032	C₂³	1	8	yes	complemented
390	#4031	C₂³	1	8	yes	—
391	#4031	C₂³	1	8	yes	—
392	#4031	C₂³	1	8	yes	—
393	#4031	C₂³	1	8	yes	—
394	#4031	C₂³	1	8	yes	—
395	#4031	C₂³	1	8	yes	complemented
396	#4031	C₂³	1	8	yes	complemented
397	#4031	C₂³	1	8	yes	complemented
398	#4031	C₂³	1	8	yes	complemented
399	#4031	C₂³	1	8	yes	complemented
400	#4030	C₂³	1	8	yes	—
401	#4029	C₂³	1	8	yes	—
402	#4029	C₂³	1	8	yes	complemented
403	#4029	C₂³	1	8	yes	complemented
404	#4029	C₂³	1	8	yes	complemented
405	#4029	C₂³	1	8	yes	complemented
406	#4028	C₂³	1	4	yes	—
407	#4028	C₂³	1	8	yes	—
408	#4027	C₂³	1	8	yes	—
409	#4027	C₂³	1	8	yes	—
410	#4027	C₂³	1	4	yes	—
411	#4027	C₂³	1	4	yes	—
412	#4027	C₂³	1	8	yes	complemented
413	#4027	C₂³	1	4	yes	complemented
414	#4027	C₂³	1	8	yes	complemented
415	D₅×C₂²⋊C₄	C₂³	1	2	yes	—
416	D₅×C₂²⋊C₄	C₂³	1	2	yes	—
417	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
418	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
419	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
420	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
421	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
422	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
423	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
424	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
425	D₅×C₂²⋊C₄	C₂³	1	2	yes	—
426	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
427	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
428	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
429	#4025	C₂³	1	8	yes	complemented
430	#4025	C₂³	1	8	yes	complemented
431	#4025	C₂³	1	8	yes	complemented
432	#4025	C₂³	1	8	yes	complemented
433	#4025	C₂³	1	8	yes	complemented
434	#4025	C₂³	1	8	yes	complemented
435	#4024	C₂³	1	4	yes	—
436	#4024	C₂³	1	4	yes	—
437	#4024	C₂³	1	8	yes	complemented
438	#4024	C₂³	1	8	yes	complemented
439	#4024	C₂³	1	8	yes	complemented
440	#4023	C₂³	1	2	yes	—
441	#4023	C₂³	1	2	yes	—
442	#4023	C₂³	1	4	yes	—
443	#4023	C₂³	1	4	yes	—
444	#4023	C₂³	1	2	yes	—
445	#4023	C₂³	1	8	yes	complemented
446	#4023	C₂³	1	4	yes	complemented
447	#4023	C₂³	1	8	yes	complemented
448	#4022	C₂³	1	8	yes	complemented
449	#4022	C₂³	1	8	yes	complemented
450	#4021	C₂³	1	2	yes	—
451	#4021	C₂³	1	2	yes	—
452	#4021	C₂³	1	2	yes	—
453	#4021	C₂³	1	4	yes	—
454	#4021	C₂³	1	2	yes	complemented
455	#4021	C₂³	1	8	yes	complemented
456	#4020	C₂³	1	2	yes	—
457	C₄×D₂₀	C₂³	1	4	yes	—
458	C₄×D₂₀	C₂³	1	4	yes	—
459	C₄×D₂₀	C₂³	1	4	yes	—
460	C₄×D₂₀	C₂³	1	2	yes	complemented
461	C₄×D₂₀	C₂³	1	8	yes	complemented
462	#4018	C₂³	1	2	yes	—
463	#4018	C₂³	1	2	yes	—
464	#4018	C₂³	1	2	yes	—
465	#4018	C₂³	1	8	yes	—
466	#4018	C₂³	1	2	yes	complemented
467	#4018	C₂³	1	2	yes	complemented
468	#4018	C₂³	1	8	yes	complemented
469	#4018	C₂³	1	8	yes	complemented
470	C₄²×D₅	C₂³	1	2	yes	—
471	C₄²×D₅	C₂³	1	1	yes	characteristic
472	C₄²×D₅	C₂³	1	2	yes	—
473	C₄²×D₅	C₂³	1	1	yes	characteristic
474	C₄²×D₅	C₂³	1	1	yes	characteristic
475	C₄²×D₅	C₂³	1	1	yes	characteristic
476	C₄²×D₅	C₂³	1	2	yes	—
477	C₄²×D₅	C₂³	1	2	yes	—
478	C₄²×D₅	C₂³	1	2	yes	—
479	C₄²×D₅	C₂³	1	4	yes	—
480	C₄²×D₅	C₂³	1	8	yes	—
481	C₄²×D₅	C₂³	1	2	yes	complemented
482	C₄²×D₅	C₂³	1	2	yes	complemented
483	C₄²×D₅	C₂³	1	4	yes	complemented
484	#4016	C₂³	1	2	yes	complemented
485	#4015	C₂³	1	2	yes	complemented
486	#4015	C₂³	1	2	yes	complemented
487	C₄×Dic₁₀	C₂³	1	4	yes	complemented
488	C₄×Dic₁₀	C₂³	1	4	yes	complemented
489	C₄×Dic₁₀	C₂³	1	2	yes	complemented
490	C₄×Dic₁₀	C₂³	1	4	yes	complemented
491	C₄×Dic₁₀	C₂³	1	4	yes	complemented
492	C₄×Dic₁₀	C₂³	1	8	yes	complemented
493	C₄×Dic₁₀	C₂³	1	8	yes	complemented
494	C₄×Dic₁₀	C₂³	1	4	yes	complemented
495	C₄×Dic₁₀	C₂³	1	4	yes	complemented
496	#3510	—	5	4	no	—
497	#3510	—	5	4	no	—
498	#3510	—	5	8	no	—
499	#3510	—	5	4	no	—
500	#3510	—	5	1	no	—
501	#3510	—	5	1	no	—
502	#3510	—	5	1	no	—
503	#3510	—	5	4	no	—
504	#3510	—	5	1	no	—
505	#3510	—	5	1	no	—
506	#3510	—	5	1	no	—
507	#3510	—	5	1	no	—
508	#3510	D₅	1	1	yes	characteristic, direct product factor
509	C₂×#559	—	5	4	no	—
510	C₂×#556	—	5	4	no	—
511	C₂×#551	—	5	8	no	—
512	C₂×#542	—	5	4	no	—
513	C₂×#536	—	5	1	no	—
514	C₂×#535	—	5	1	no	—
515	C₂×#533	—	5	1	no	—
516	C₂×#529	—	5	4	no	—
517	C₂²×#124	—	5	1	no	—
518	C₂×#519	—	5	1	no	—
519	C₂×#518	—	5	1	no	—
520	C₂×C₄×#41	—	5	1	no	—
521	C₂⁴×C₅	C₂⁴	1	2	yes	—
522	C₂³×D₅	—	2	8	no	—
523	C₂³×D₅	—	4	8	no	—
524	C₂³×D₅	C₂⁴	1	2	yes	—
525	C₂³×D₅	C₂⁴	1	4	yes	—
526	C₂³×D₅	C₂⁴	1	1	yes	characteristic
527	C₂³×D₅	C₂⁴	1	2	yes	—
528	C₂³×D₅	C₂⁴	1	4	yes	—
529	C₅×#41	—	2	4	no	—
530	C₂×C₅×Q₈	—	2	4	no	—
531	C₂×C₅×Q₈	C₂⁴	1	2	yes	—
532	C₂×C₅×Q₈	C₂⁴	1	2	yes	—
533	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
534	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
535	C₂×C₅×D₄	—	2	4	no	—
536	C₂×C₅×D₄	C₂⁴	1	2	yes	—
537	C₂×C₅×D₄	C₂⁴	1	2	yes	—
538	C₂×C₅×D₄	C₂⁴	1	2	yes	—
539	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
540	C₂×C₅×D₄	C₂⁴	1	8	yes	—
541	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
542	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
543	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
544	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
545	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
546	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
547	C₂×C₂²⋊D₅	—	2	8	no	—
548	C₂×C₂²⋊D₅	C₂⁴	1	2	yes	—
549	C₂×C₂²⋊D₅	C₂⁴	1	2	yes	—
550	C₂×C₂²⋊D₅	C₂⁴	1	2	yes	—
551	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
552	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
553	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
554	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
555	C₂²×Dic₅	C₂⁴	1	2	yes	—
556	C₂²×Dic₅	C₂⁴	1	2	yes	—
557	C₂²×Dic₅	C₂⁴	1	2	yes	—
558	C₂²×Dic₅	C₂⁴	1	8	yes	—
559	C₂²×Dic₅	C₂⁴	1	4	yes	—
560	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
561	#713	—	2	4	no	—
562	Q₈×D₅	—	2	8	no	—
563	Q₈×D₅	—	2	8	no	—
564	Q₈×D₅	—	2	8	no	—
565	Q₈×D₅	—	2	8	no	—
566	Q₈×D₅	—	2	4	no	—
567	Q₈×D₅	—	4	8	no	—
568	#711	—	2	8	no	—
569	#711	—	2	4	no	—
570	D₄×D₅	—	2	8	no	—
571	D₄×D₅	—	2	8	no	—
572	D₄×D₅	—	2	8	no	—
573	D₄×D₅	—	2	8	no	—
574	D₄×D₅	—	2	8	no	—
575	D₄×D₅	—	2	4	no	—
576	D₄×D₅	—	4	16	no	—
577	#709	—	2	4	no	—
578	#709	—	2	8	no	—
579	C₂×D₂₀	—	2	4	no	—
580	C₂×D₂₀	C₂⁴	1	2	yes	—
581	C₂×D₂₀	C₂⁴	1	2	yes	—
582	C₂×D₂₀	C₂⁴	1	2	yes	—
583	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
584	C₂×D₂₀	C₂⁴	1	8	yes	—
585	C₂×C₄×D₅	—	2	8	no	—
586	C₂×C₄×D₅	—	2	8	no	—
587	C₂×C₄×D₅	—	4	8	no	—
588	C₂×C₄×D₅	—	4	16	no	—
589	C₂×C₄×D₅	—	4	4	no	—
590	C₂×C₄×D₅	#41	1	8	yes	—
591	C₂×C₄×D₅	C₂⁴	1	2	yes	—
592	C₂×C₄×D₅	C₂⁴	1	4	yes	—
593	C₂×C₄×D₅	C₂⁴	1	4	yes	—
594	C₂×C₄×D₅	C₂⁴	1	2	yes	—
595	C₂×C₄×D₅	C₂⁴	1	2	yes	—
596	C₂×C₄×D₅	C₂⁴	1	2	yes	—
597	C₂×C₄×D₅	C₂⁴	1	4	yes	—
598	C₂×C₄×D₅	C₂⁴	1	2	yes	—
599	C₂×C₄×D₅	C₂⁴	1	4	yes	—
600	C₂×C₄×D₅	C₂⁴	1	4	yes	—
601	C₂×C₄×D₅	C₂⁴	1	2	yes	—
602	C₂×C₄×D₅	C₂⁴	1	2	yes	—
603	C₂×C₄×D₅	C₂⁴	1	4	yes	—
604	C₂×C₄×D₅	C₂⁴	1	4	yes	—
605	C₂×C₄×D₅	C₂⁴	1	8	yes	—
606	C₂×C₄×D₅	C₂⁴	1	8	yes	—
607	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
608	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
609	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
610	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
611	C₂×Dic₁₀	—	2	4	no	—
612	C₂×Dic₁₀	—	2	8	no	—
613	C₂×Dic₁₀	C₂⁴	1	2	yes	—
614	C₂×Dic₁₀	C₂⁴	1	2	yes	—
615	C₂×Dic₁₀	C₂⁴	1	4	yes	—
616	C₂×Dic₁₀	C₂⁴	1	4	yes	—
617	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
618	C₂×Dic₁₀	C₂⁴	1	2	yes	—
619	C₂×Dic₁₀	C₂⁴	1	4	yes	—
620	C₂×Dic₁₀	C₂⁴	1	4	yes	—
621	C₂×Dic₁₀	C₂⁴	1	4	yes	—
622	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
623	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
624	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
625	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
626	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
627	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
628	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
629	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
630	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
631	C₅×C₂²⋊C₄	C₂⁴	1	2	yes	—
632	C₅×C₂²⋊C₄	C₂⁴	1	2	yes	—
633	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
634	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
635	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
636	C₅×C₂²⋊C₄	C₂⁴	1	2	yes	—
637	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
638	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
639	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
640	C₄²×C₅	C₂⁴	1	1	yes	characteristic
641	C₄²×C₅	C₂⁴	1	1	yes	characteristic
642	C₄²×C₅	C₂⁴	1	2	yes	—
643	C₄²×C₅	C₂⁴	1	2	yes	—
644	C₄²×C₅	C₂⁴	1	4	yes	—
645	C₄²×C₅	C₂⁴	1	8	yes	—
646	C₄²×C₅	C₂⁴	1	2	yes	—
647	C₄²×C₅	C₂⁴	1	2	yes	—
648	C₂²⋊Dic₅	C₂⁴	1	2	yes	—
649	C₂²⋊Dic₅	C₂⁴	1	2	yes	—
650	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
651	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
652	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
653	C₂²⋊Dic₅	C₂⁴	1	2	yes	—
654	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
655	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
656	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
657	#685	C₂⁴	1	4	yes	—
658	#685	C₂⁴	1	4	yes	—
659	#685	C₂⁴	1	4	yes	—
660	#685	C₂⁴	1	4	yes	—
661	#685	C₂⁴	1	8	yes	—
662	#685	C₂⁴	1	4	yes	—
663	#685	C₂⁴	1	8	yes	—
664	#685	C₂⁴	1	8	yes	—
665	#685	C₂⁴	1	8	yes	—
666	#685	C₂⁴	1	8	yes	—
667	#685	C₂⁴	1	8	yes	—
668	#685	C₂⁴	1	8	yes	—
669	#685	C₂⁴	1	8	yes	—
670	#685	C₂⁴	1	8	yes	—
671	#685	C₂⁴	1	8	yes	—
672	C₄⋊Dic₅	C₂⁴	1	2	yes	—
673	C₄⋊Dic₅	C₂⁴	1	2	yes	—
674	C₄⋊Dic₅	C₂⁴	1	8	yes	—
675	C₄⋊Dic₅	C₂⁴	1	4	yes	—
676	C₄⋊Dic₅	C₂⁴	1	4	yes	—
677	C₄⋊Dic₅	C₂⁴	1	4	yes	—
678	C₄⋊Dic₅	C₂⁴	1	4	yes	—
679	C₄⋊Dic₅	C₂⁴	1	2	yes	—
680	C₄⋊Dic₅	C₂⁴	1	8	yes	—
681	#683	C₂⁴	1	4	yes	—
682	#683	C₂⁴	1	8	yes	—
683	#683	C₂⁴	1	8	yes	—
684	#683	C₂⁴	1	4	yes	—
685	#683	C₂⁴	1	4	yes	—
686	#683	C₂⁴	1	4	yes	—
687	#683	C₂⁴	1	4	yes	—
688	#683	C₂⁴	1	4	yes	—
689	#683	C₂⁴	1	4	yes	—
690	#683	C₂⁴	1	4	yes	—
691	#683	C₂⁴	1	4	yes	—
692	#683	C₂⁴	1	4	yes	—
693	#683	C₂⁴	1	4	yes	—
694	#683	C₂⁴	1	8	yes	—
695	#683	C₂⁴	1	8	yes	—
696	C₄×Dic₅	C₂⁴	1	2	yes	—
697	C₄×Dic₅	C₂⁴	1	2	yes	—
698	C₄×Dic₅	C₂⁴	1	2	yes	—
699	C₄×Dic₅	C₂⁴	1	2	yes	—
700	C₄×Dic₅	C₂⁴	1	4	yes	—
701	C₄×Dic₅	C₂⁴	1	4	yes	—
702	C₄×Dic₅	C₂⁴	1	8	yes	—
703	C₄×Dic₅	C₂⁴	1	8	yes	—
704	C₄×Dic₅	C₂⁴	1	4	yes	—
705	C₄×Dic₅	C₂⁴	1	2	yes	—
706	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
707	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
708	C₄×Dic₅	C₂⁴	1	2	yes	—
709	C₄×Dic₅	C₂⁴	1	2	yes	—
710	C₄×Dic₅	C₂⁴	1	2	yes	—
711	C₄×Dic₅	C₂⁴	1	4	yes	—
712	C₄×Dic₅	C₂⁴	1	4	yes	—
713	C₄×Dic₅	C₂⁴	1	8	yes	—
714	C₄×Dic₅	C₂⁴	1	4	yes	—
715	C₂²×#41	—	5	1	no	—
716	C₂³×Q₈	—	5	1	no	—
717	C₂³×D₄	—	5	1	no	—
718	#559	—	5	4	no	—
719	#559	—	5	4	no	—
720	#559	—	5	4	no	—
721	#559	—	5	8	no	—
722	#559	—	5	8	no	—
723	#559	—	5	8	no	—
724	#559	—	5	4	no	—
725	#559	—	5	4	no	—
726	#559	—	5	4	no	—
727	#559	—	5	8	no	—
728	#559	—	5	4	no	—
729	#559	C₂×D₅	1	4	yes	complemented
730	#556	—	5	4	no	—
731	#556	—	5	8	no	—
732	#556	—	5	8	no	—
733	#556	—	5	4	no	—
734	#556	—	5	4	no	—
735	#556	—	5	8	no	—
736	#556	—	5	4	no	—
737	#556	—	5	4	no	—
738	#556	—	5	4	no	—
739	#556	—	5	4	no	—
740	#556	—	5	8	no	—
741	#556	C₂×D₅	1	4	yes	complemented
742	#551	—	5	8	no	—
743	#551	—	5	8	no	—
744	#551	—	5	8	no	—
745	#551	—	5	8	no	—
746	#551	—	5	8	no	—
747	#551	—	5	8	no	—
748	#551	—	5	8	no	—
749	#551	—	5	8	no	—
750	#551	—	5	8	no	—
751	#551	—	5	8	no	—
752	#551	—	5	8	no	—
753	#551	—	5	8	no	—
754	#551	—	5	8	no	—
755	#551	—	5	8	no	—
756	#551	—	5	8	no	—
757	#551	C₂×D₅	1	8	yes	complemented
758	#542	—	5	4	no	—
759	#542	—	5	8	no	—
760	#542	—	5	4	no	—
761	#542	—	5	8	no	—
762	#542	—	5	8	no	—
763	#542	—	5	8	no	—
764	#542	—	5	4	no	—
765	#542	—	5	4	no	—
766	#542	—	5	4	no	—
767	#542	—	5	4	no	—
768	#542	—	5	4	no	—
769	#542	C₂×D₅	1	4	yes	complemented
770	#536	—	5	1	no	—
771	#536	—	5	1	no	—
772	#536	—	5	2	no	—
773	#536	—	5	2	no	—
774	#536	—	5	4	no	—
775	#536	—	5	4	no	—
776	#536	—	5	1	no	—
777	#536	C₂×D₅	1	1	yes	characteristic, complemented
778	#535	—	5	1	no	—
779	#535	—	5	1	no	—
780	#535	—	5	2	no	—
781	#535	—	5	2	no	—
782	#535	—	5	4	no	—
783	#535	—	5	4	no	—
784	#535	—	5	1	no	—
785	#535	C₂×D₅	1	1	yes	characteristic
786	#533	—	5	2	no	—
787	#533	—	5	2	no	—
788	#533	—	5	4	no	—
789	#533	—	5	4	no	—
790	#533	—	5	1	no	—
791	#533	—	5	1	no	—
792	#533	—	5	1	no	—
793	#533	C₂×D₅	1	1	yes	characteristic, complemented
794	C₂×C₄⋊Q₈	—	5	2	no	—
795	C₂×C₄⋊Q₈	—	5	2	no	—
796	C₂×#127	—	5	2	no	—
797	#529	—	5	8	no	—
798	#529	—	5	4	no	—
799	#529	—	5	4	no	—
800	#529	—	5	8	no	—
801	#529	—	5	4	no	—
802	#529	—	5	4	no	—
803	#529	—	5	4	no	—
804	#529	—	5	4	no	—
805	#529	—	5	8	no	—
806	#529	—	5	8	no	—
807	#529	—	5	4	no	—
808	#529	C₂×D₅	1	4	yes	complemented
809	C₂×#126	—	5	8	no	—
810	C₂×#126	—	5	8	no	—
811	C₂×#125	—	5	2	no	—
812	C₂×#124	—	5	1	no	—
813	C₂×#124	—	5	1	no	—
814	C₂×#124	—	5	2	no	—
815	C₂×#124	—	5	2	no	—
816	C₂×#124	—	5	4	no	—
817	C₂×#124	—	5	2	no	—
818	C₂×#124	—	5	2	no	—
819	C₂×#124	—	5	4	no	—
820	C₂×#124	—	5	2	no	—
821	C₂×#124	—	5	2	no	—
822	C₂×#124	—	5	8	no	—
823	C₂×#124	—	5	4	no	—
824	C₂×#124	—	5	1	no	—
825	C₂×#124	C₂×D₅	1	1	yes	characteristic, complemented
826	C₂×#123	—	5	4	no	—
827	C₂×#123	—	5	8	no	—
828	C₂×#123	—	5	8	no	—
829	C₂×C₂²⋊Q₈	—	5	4	no	—
830	C₂×C₂²⋊Q₈	—	5	4	no	—
831	C₂×C₂²⋊Q₈	—	5	8	no	—
832	C₂×#121	—	5	4	no	—
833	C₂×#120	—	5	4	no	—
834	#519	—	5	1	no	—
835	#519	—	5	4	no	—
836	#519	—	5	4	no	—
837	#519	—	5	1	no	—
838	#519	—	5	1	no	—
839	#519	—	5	4	no	—
840	#519	C₂×D₅	1	1	yes	characteristic, complemented
841	#518	—	5	1	no	—
842	#518	—	5	4	no	—
843	#518	—	5	4	no	—
844	#518	—	5	1	no	—
845	#518	—	5	1	no	—
846	#518	—	5	4	no	—
847	#518	C₂×D₅	1	1	yes	characteristic, complemented
848	C₄×#41	—	5	1	no	—
849	C₄×#41	—	5	2	no	—
850	C₄×#41	—	5	4	no	—
851	C₄×#41	—	5	2	no	—
852	C₄×#41	—	5	1	no	—
853	C₄×#41	—	5	2	no	—
854	C₄×#41	—	5	1	no	—
855	C₄×#41	—	5	2	no	—
856	C₄×#41	C₂×D₅	1	1	yes	characteristic, complemented
857	C₂×C₄×Q₈	—	5	2	no	—
858	C₂×C₄×Q₈	—	5	4	no	—
859	C₂×C₄×Q₈	—	5	4	no	—
860	C₂×C₄×Q₈	—	5	4	no	—
861	C₂×C₄×D₄	—	5	4	no	—
862	C₂×C₄×D₄	—	5	4	no	—
863	C₂×C₄×D₄	—	5	4	no	—
864	C₂×C₄×D₄	—	5	2	no	—
865	C₂×C₄×D₄	—	5	8	no	—
866	C₂×#117	—	5	1	no	—
867	C₂×#117	—	5	1	no	—
868	C₂×#117	—	5	1	no	—
869	C₂×#117	—	5	4	no	—
870	C₂×#117	—	5	2	no	—
871	C₂×#117	—	5	8	no	—
872	C₂²×C₂²⋊C₄	—	5	4	no	—
873	C₂²×C₂²⋊C₄	—	5	4	no	—
874	C₂²×C₄²	—	5	1	no	—
875	C₂²×C₄²	—	5	2	no	—
876	C₂³×C₅	—	2	4	no	—
877	C₂³×C₅	—	4	4	no	—
878	C₂³×C₅	C₂⁵	1	4	yes	—
879	C₂³×C₅	C₂⁵	1	2	yes	—
880	C₂³×C₅	C₂⁵	1	1	yes	characteristic
881	C₂²×D₅	—	2	4	no	—
882	C₂²×D₅	—	2	4	no	—
883	C₂²×D₅	—	2	4	no	—
884	C₂²×D₅	—	2	8	no	—
885	C₂²×D₅	—	2	8	no	—
886	C₂²×D₅	—	2	16	no	—
887	C₂²×D₅	—	2	8	no	—
888	C₂²×D₅	—	4	8	no	—
889	C₂²×D₅	—	4	4	no	—
890	C₂²×D₅	—	8	16	no	—
891	C₂²×D₅	C₂×#41	1	4	yes	—
892	C₂²×D₅	C₂⁵	1	4	yes	—
893	C₂²×D₅	C₂⁵	1	2	yes	—
894	C₂²×D₅	C₂⁵	1	1	yes	characteristic
895	C₂²×D₅	C₂⁵	1	1	yes	characteristic
896	C₅×Q₈	—	2	4	no	—
897	C₅×Q₈	—	2	4	no	—
898	C₅×Q₈	—	2	2	no	—
899	C₅×Q₈	—	4	4	no	—
900	C₅×D₄	—	2	4	no	—
901	C₅×D₄	—	2	4	no	—
902	C₅×D₄	—	2	4	no	—
903	C₅×D₄	—	2	2	no	—
904	C₅×D₄	—	4	8	no	—
905	C₂×C₄×C₅	—	2	4	no	—
906	C₂×C₄×C₅	—	2	4	no	—
907	C₂×C₄×C₅	—	4	2	no	—
908	C₂×C₄×C₅	—	4	8	no	—
909	C₂×C₄×C₅	—	4	4	no	—
910	C₂×C₄×C₅	C₂×#41	1	4	yes	—
911	C₂×C₄×C₅	C₂⁵	1	2	yes	—
912	C₂×C₄×C₅	C₂⁵	1	4	yes	—
913	C₂×C₄×C₅	C₂⁵	1	4	yes	—
914	C₂×C₄×C₅	C₂⁵	1	2	yes	—
915	C₂×C₄×C₅	C₂⁵	1	4	yes	—
916	C₂×C₄×C₅	C₂⁵	1	2	yes	—
917	C₂×C₄×C₅	C₂⁵	1	4	yes	—
918	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
919	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
920	C₂²⋊D₅	—	2	4	no	—
921	C₂²⋊D₅	—	2	4	no	—
922	C₂²⋊D₅	—	2	4	no	—
923	C₂²⋊D₅	—	2	8	no	—
924	C₂²⋊D₅	—	2	8	no	—
925	C₂²⋊D₅	—	4	8	no	—
926	C₂²⋊D₅	—	4	8	no	—
927	C₂×Dic₅	—	2	4	no	—
928	C₂×Dic₅	—	2	4	no	—
929	C₂×Dic₅	—	4	2	no	—
930	C₂×Dic₅	—	4	8	no	—
931	C₂×Dic₅	—	4	4	no	—
932	C₂×Dic₅	C₂×#41	1	4	yes	—
933	C₂×Dic₅	C₂⁵	1	2	yes	—
934	C₂×Dic₅	C₂⁵	1	4	yes	—
935	C₂×Dic₅	C₂⁵	1	4	yes	—
936	C₂×Dic₅	C₂⁵	1	2	yes	—
937	C₂×Dic₅	C₂⁵	1	4	yes	—
938	C₂×Dic₅	C₂⁵	1	2	yes	—
939	C₂×Dic₅	C₂⁵	1	4	yes	—
940	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
941	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
942	D₂₀	—	2	4	no	—
943	D₂₀	—	2	4	no	—
944	D₂₀	—	2	4	no	—
945	D₂₀	—	2	2	no	—
946	D₂₀	—	4	8	no	—
947	C₄×D₅	—	2	4	no	—
948	C₄×D₅	—	2	8	no	—
949	C₄×D₅	—	2	8	no	—
950	C₄×D₅	—	2	4	no	—
951	C₄×D₅	—	2	8	no	—
952	C₄×D₅	—	2	8	no	—
953	C₄×D₅	—	2	4	no	—
954	C₄×D₅	—	2	8	no	—
955	C₄×D₅	—	2	4	no	—
956	C₄×D₅	—	2	4	no	—
957	C₄×D₅	—	4	2	no	—
958	C₄×D₅	—	4	8	no	—
959	C₄×D₅	—	4	2	no	—
960	C₄×D₅	—	4	8	no	—
961	C₄×D₅	—	4	4	no	—
962	C₄×D₅	—	4	4	no	—
963	C₄×D₅	C₂×#41	1	4	yes	—
964	C₄×D₅	C₂×#41	1	4	yes	—
965	C₄×D₅	C₂×#41	1	4	yes	—
966	C₄×D₅	C₂×#41	1	4	yes	—
967	Dic₁₀	—	2	4	no	—
968	Dic₁₀	—	2	4	no	—
969	Dic₁₀	—	2	2	no	—
970	Dic₁₀	—	2	8	no	—
971	Dic₁₀	—	2	8	no	—
972	Dic₁₀	—	2	4	no	—
973	Dic₁₀	—	4	4	no	—
974	Dic₁₀	—	4	4	no	—
975	Dic₁₀	—	4	4	no	—
976	C₂⁵	—	5	2	no	—
977	C₂×#41	—	5	1	no	—
978	C₂×#41	—	5	2	no	—
979	C₂×#41	—	5	1	no	—
980	C₂×#41	—	5	2	no	—
981	C₂×#41	—	5	1	no	—
982	C₂×#41	—	10	8	no	—
983	C₂×#41	C₂²×D₅	1	1	yes	characteristic
984	C₂²×Q₈	—	5	2	no	—
985	C₂²×Q₈	—	5	2	no	—
986	C₂²×Q₈	—	5	1	no	—
987	C₂²×Q₈	—	5	2	no	—
988	C₂²×Q₈	—	5	2	no	—
989	C₂²×Q₈	—	5	4	no	—
990	C₂²×Q₈	—	5	2	no	—
991	C₂²×Q₈	—	5	1	no	—
992	C₂²×Q₈	—	10	8	no	—
993	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
994	C₂²×D₄	—	5	2	no	—
995	C₂²×D₄	—	5	2	no	—
996	C₂²×D₄	—	5	2	no	—
997	C₂²×D₄	—	5	2	no	—
998	C₂²×D₄	—	5	1	no	—
999	C₂²×D₄	—	5	2	no	—
1000	C₂²×D₄	—	5	2	no	—
1001	C₂²×D₄	—	5	8	no	—
1002	C₂²×D₄	—	5	1	no	—
1003	C₂²×D₄	—	10	8	no	—
1004	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1005	C₂³×C₄	—	5	1	no	—
1006	C₂³×C₄	—	5	2	no	—
1007	C₂³×C₄	—	5	2	no	—
1008	C₂³×C₄	—	5	2	no	—
1009	C₂³×C₄	—	5	8	no	—
1010	C₂³×C₄	—	5	4	no	—
1011	C₄⋊Q₈	—	5	4	no	—
1012	C₄⋊Q₈	—	5	2	no	—
1013	C₄⋊Q₈	—	5	2	no	—
1014	C₄⋊Q₈	—	5	4	no	—
1015	C₄⋊Q₈	—	5	2	no	—
1016	C₄⋊Q₈	—	5	2	no	—
1017	C₄⋊Q₈	—	5	8	no	—
1018	C₄⋊Q₈	—	5	2	no	—
1019	C₄⋊Q₈	—	5	2	no	—
1020	C₄⋊Q₈	C₂²×D₅	1	2	yes	complemented
1021	C₄⋊Q₈	C₂²×D₅	1	2	yes	complemented
1022	#127	—	5	8	no	—
1023	#127	—	5	2	no	—
1024	#127	—	5	2	no	—
1025	#127	—	5	2	no	—
1026	#127	C₂²×D₅	1	2	yes	—
1027	#126	—	5	8	no	—
1028	#126	—	5	8	no	—
1029	#126	—	5	8	no	—
1030	#126	—	5	8	no	—
1031	#126	—	5	8	no	—
1032	#126	—	5	8	no	—
1033	#126	—	5	8	no	—
1034	#126	—	5	8	no	—
1035	#126	—	5	8	no	—
1036	#126	—	5	8	no	—
1037	#126	—	5	8	no	—
1038	#126	—	5	8	no	—
1039	#126	—	5	8	no	—
1040	#126	—	5	8	no	—
1041	#126	C₂²×D₅	1	8	yes	complemented
1042	#126	C₂²×D₅	1	8	yes	complemented
1043	#125	—	5	4	no	—
1044	#125	—	5	4	no	—
1045	#125	—	5	2	no	—
1046	#125	—	5	2	no	—
1047	#125	—	5	2	no	—
1048	#125	C₂²×D₅	1	2	yes	complemented
1049	#124	—	5	2	no	—
1050	#124	—	5	2	no	—
1051	#124	—	5	4	no	—
1052	#124	—	5	2	no	—
1053	#124	—	5	2	no	—
1054	#124	—	5	8	no	—
1055	#124	—	5	2	no	—
1056	#124	—	5	2	no	—
1057	#124	—	5	4	no	—
1058	#124	—	5	2	no	—
1059	#124	—	5	2	no	—
1060	#124	—	5	8	no	—
1061	#124	—	5	8	no	—
1062	#124	—	5	8	no	—
1063	#124	—	5	8	no	—
1064	#124	—	5	8	no	—
1065	#124	—	5	8	no	—
1066	#124	—	5	8	no	—
1067	#124	—	5	8	no	—
1068	#124	—	5	8	no	—
1069	#124	—	5	8	no	—
1070	#124	—	5	8	no	—
1071	#124	—	5	2	no	—
1072	#124	—	5	2	no	—
1073	#124	—	5	4	no	—
1074	#124	—	5	2	no	—
1075	#124	—	5	2	no	—
1076	#124	—	5	8	no	—
1077	#124	C₂²×D₅	1	2	yes	—
1078	#124	C₂²×D₅	1	2	yes	—
1079	#124	C₂²×D₅	1	4	yes	—
1080	#124	C₂²×D₅	1	2	yes	—
1081	#124	C₂²×D₅	1	2	yes	complemented
1082	#124	C₂²×D₅	1	8	yes	complemented
1083	#123	—	5	8	no	—
1084	#123	—	5	4	no	—
1085	#123	—	5	8	no	—
1086	#123	—	5	8	no	—
1087	#123	—	5	4	no	—
1088	#123	—	5	8	no	—
1089	#123	—	5	8	no	—
1090	#123	—	5	8	no	—
1091	#123	—	5	8	no	—
1092	#123	—	5	8	no	—
1093	#123	—	5	8	no	—
1094	#123	—	5	8	no	—
1095	#123	—	5	8	no	—
1096	#123	—	5	8	no	—
1097	#123	—	5	8	no	—
1098	#123	—	5	4	no	—
1099	#123	—	5	8	no	—
1100	#123	—	5	8	no	—
1101	#123	—	5	8	no	—
1102	#123	C₂²×D₅	1	4	yes	—
1103	#123	C₂²×D₅	1	8	yes	complemented
1104	#123	C₂²×D₅	1	8	yes	complemented
1105	C₂²⋊Q₈	—	5	4	no	—
1106	C₂²⋊Q₈	—	5	4	no	—
1107	C₂²⋊Q₈	—	5	8	no	—
1108	C₂²⋊Q₈	—	5	4	no	—
1109	C₂²⋊Q₈	—	5	4	no	—
1110	C₂²⋊Q₈	—	5	8	no	—
1111	C₂²⋊Q₈	—	5	8	no	—
1112	C₂²⋊Q₈	—	5	4	no	—
1113	C₂²⋊Q₈	—	5	4	no	—
1114	C₂²⋊Q₈	—	5	4	no	—
1115	C₂²⋊Q₈	—	5	4	no	—
1116	C₂²⋊Q₈	—	5	8	no	—
1117	C₂²⋊Q₈	—	5	8	no	—
1118	C₂²⋊Q₈	—	5	8	no	—
1119	C₂²⋊Q₈	—	5	8	no	—
1120	C₂²⋊Q₈	—	5	4	no	—
1121	C₂²⋊Q₈	—	5	4	no	—
1122	C₂²⋊Q₈	—	5	8	no	—
1123	C₂²⋊Q₈	—	5	8	no	—
1124	C₂²⋊Q₈	C₂²×D₅	1	4	yes	—
1125	C₂²⋊Q₈	C₂²×D₅	1	4	yes	complemented
1126	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
1127	#121	—	5	4	no	—
1128	#121	—	5	8	no	—
1129	#121	—	5	4	no	—
1130	#121	—	5	4	no	—
1131	#121	—	5	8	no	—
1132	#121	C₂²×D₅	1	4	yes	—
1133	#120	—	5	4	no	—
1134	#120	—	5	4	no	—
1135	#120	—	5	8	no	—
1136	#120	—	5	8	no	—
1137	#120	—	5	4	no	—
1138	#120	C₂²×D₅	1	4	yes	—
1139	C₄×Q₈	—	5	2	no	—
1140	C₄×Q₈	—	5	4	no	—
1141	C₄×Q₈	—	5	4	no	—
1142	C₄×Q₈	—	5	4	no	—
1143	C₄×Q₈	—	5	4	no	—
1144	C₄×Q₈	—	5	2	no	—
1145	C₄×Q₈	—	5	8	no	—
1146	C₄×Q₈	—	5	4	no	—
1147	C₄×Q₈	—	5	8	no	—
1148	C₄×Q₈	—	5	4	no	—
1149	C₄×Q₈	—	5	4	no	—
1150	C₄×Q₈	—	5	4	no	—
1151	C₄×Q₈	—	5	4	no	—
1152	C₄×Q₈	—	5	2	no	—
1153	C₄×Q₈	—	5	4	no	—
1154	C₄×Q₈	—	5	8	no	—
1155	C₄×Q₈	—	5	4	no	—
1156	C₄×Q₈	—	5	4	no	—
1157	C₄×Q₈	—	5	8	no	—
1158	C₄×Q₈	—	5	4	no	—
1159	C₄×Q₈	—	5	4	no	—
1160	C₄×Q₈	—	5	4	no	—
1161	C₄×Q₈	C₂²×D₅	1	2	yes	complemented
1162	C₄×Q₈	C₂²×D₅	1	4	yes	complemented
1163	C₄×Q₈	C₂²×D₅	1	4	yes	complemented
1164	C₄×Q₈	C₂²×D₅	1	4	yes	complemented
1165	C₄×D₄	—	5	4	no	—
1166	C₄×D₄	—	5	2	no	—
1167	C₄×D₄	—	5	4	no	—
1168	C₄×D₄	—	5	4	no	—
1169	C₄×D₄	—	5	8	no	—
1170	C₄×D₄	—	5	4	no	—
1171	C₄×D₄	—	5	4	no	—
1172	C₄×D₄	—	5	4	no	—
1173	C₄×D₄	—	5	8	no	—
1174	C₄×D₄	—	5	8	no	—
1175	C₄×D₄	—	5	8	no	—
1176	C₄×D₄	—	5	8	no	—
1177	C₄×D₄	—	5	4	no	—
1178	C₄×D₄	—	5	2	no	—
1179	C₄×D₄	—	5	4	no	—
1180	C₄×D₄	—	5	4	no	—
1181	C₄×D₄	—	5	8	no	—
1182	C₄×D₄	—	5	4	no	—
1183	C₄×D₄	—	5	4	no	—
1184	C₄×D₄	—	5	4	no	—
1185	C₄×D₄	—	5	8	no	—
1186	C₄×D₄	—	5	8	no	—
1187	C₄×D₄	—	5	8	no	—
1188	C₄×D₄	—	5	8	no	—
1189	C₄×D₄	—	5	4	no	—
1190	C₄×D₄	—	5	2	no	—
1191	C₄×D₄	—	5	4	no	—
1192	C₄×D₄	—	5	4	no	—
1193	C₄×D₄	—	5	8	no	—
1194	C₄×D₄	C₂²×D₅	1	4	yes	—
1195	C₄×D₄	C₂²×D₅	1	4	yes	—
1196	C₄×D₄	C₂²×D₅	1	4	yes	—
1197	C₄×D₄	C₂²×D₅	1	2	yes	complemented
1198	C₄×D₄	C₂²×D₅	1	8	yes	complemented
1199	#117	—	5	1	no	—
1200	#117	—	5	2	no	—
1201	#117	—	5	1	no	—
1202	#117	—	5	1	no	—
1203	#117	—	5	4	no	—
1204	#117	—	5	8	no	—
1205	#117	—	5	2	no	—
1206	#117	—	5	4	no	—
1207	#117	—	5	2	no	—
1208	#117	—	5	2	no	—
1209	#117	—	5	8	no	—
1210	#117	—	5	8	no	—
1211	#117	—	5	8	no	—
1212	#117	—	5	2	no	—
1213	#117	—	5	4	no	—
1214	#117	—	5	2	no	—
1215	#117	—	5	2	no	—
1216	#117	—	5	4	no	—
1217	#117	—	5	4	no	—
1218	#117	—	5	8	no	—
1219	#117	—	5	8	no	—
1220	#117	—	5	2	no	—
1221	#117	—	5	2	no	—
1222	#117	—	5	2	no	—
1223	#117	—	5	2	no	—
1224	#117	—	5	2	no	—
1225	#117	—	5	8	no	—
1226	#117	—	5	8	no	—
1227	#117	—	5	8	no	—
1228	#117	C₂²×D₅	1	1	yes	characteristic
1229	#117	C₂²×D₅	1	1	yes	characteristic
1230	#117	C₂²×D₅	1	1	yes	characteristic
1231	#117	C₂²×D₅	1	4	yes	—
1232	#117	C₂²×D₅	1	2	yes	complemented
1233	#117	C₂²×D₅	1	8	yes	complemented
1234	C₂×C₄⋊C₄	—	5	4	no	—
1235	C₂×C₄⋊C₄	—	5	2	no	—
1236	C₂×C₄⋊C₄	—	5	2	no	—
1237	C₂×C₄⋊C₄	—	5	4	no	—
1238	C₂×C₄⋊C₄	—	5	2	no	—
1239	C₂×C₄⋊C₄	—	5	8	no	—
1240	C₂×C₄⋊C₄	—	5	8	no	—
1241	C₂×C₄⋊C₄	—	5	4	no	—
1242	C₂×C₄⋊C₄	—	5	4	no	—
1243	C₂×C₂²⋊C₄	—	5	4	no	—
1244	C₂×C₂²⋊C₄	—	5	4	no	—
1245	C₂×C₂²⋊C₄	—	5	8	no	—
1246	C₂×C₂²⋊C₄	—	5	4	no	—
1247	C₂×C₂²⋊C₄	—	5	4	no	—
1248	C₂×C₂²⋊C₄	—	5	2	no	—
1249	C₂×C₂²⋊C₄	—	5	2	no	—
1250	C₂×C₂²⋊C₄	—	5	8	no	—
1251	C₂×C₂²⋊C₄	—	5	8	no	—
1252	C₂×C₂²⋊C₄	—	5	4	no	—
1253	C₂×C₂²⋊C₄	—	5	4	no	—
1254	C₂×C₂²⋊C₄	—	5	8	no	—
1255	C₂×C₂²⋊C₄	—	5	8	no	—
1256	C₂×C₂²⋊C₄	—	5	8	no	—
1257	C₂×C₂²⋊C₄	—	5	8	no	—
1258	C₂×C₂²⋊C₄	—	5	2	no	—
1259	C₂×C₂²⋊C₄	—	5	4	no	—
1260	C₂×C₂²⋊C₄	—	5	8	no	—
1261	C₂×C₂²⋊C₄	—	5	8	no	—
1262	C₂×C₂²⋊C₄	C₂²×D₅	1	4	yes	—
1263	C₂×C₂²⋊C₄	C₂²×D₅	1	4	yes	—
1264	C₂×C₄²	—	5	2	no	—
1265	C₂×C₄²	—	5	1	no	—
1266	C₂×C₄²	—	5	4	no	—
1267	C₂×C₄²	—	5	2	no	—
1268	C₂×C₄²	—	5	2	no	—
1269	C₂×C₄²	—	5	8	no	—
1270	C₂×C₄²	—	5	4	no	—
1271	C₂×C₄²	—	5	1	no	—
1272	C₂×C₄²	—	5	2	no	—
1273	C₂×C₄²	—	5	2	no	—
1274	C₂×C₄²	—	5	2	no	—
1275	C₂×C₄²	—	5	2	no	—
1276	C₂×C₄²	—	5	1	no	—
1277	C₂×C₄²	—	5	1	no	—
1278	C₂×C₄²	—	5	4	no	—
1279	C₂×C₄²	—	5	2	no	—
1280	C₂×C₄²	—	5	2	no	—
1281	C₂×C₄²	—	5	1	no	—
1282	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1283	C₂×C₄²	C₂²×D₅	1	2	yes	complemented
1284	C₂²×C₅	—	2	2	no	—
1285	C₂²×C₅	—	2	2	no	—
1286	C₂²×C₅	—	2	4	no	—
1287	C₂²×C₅	—	2	4	no	—
1288	C₂²×C₅	—	2	8	no	—
1289	C₂²×C₅	—	8	4	no	—
1290	C₂²×C₅	C₂²×#41	1	2	yes	—
1291	C₂²×C₅	C₂⁶	1	1	yes	characteristic
1292	C₂×D₅	—	2	2	no	—
1293	C₂×D₅	—	2	8	no	—
1294	C₂×D₅	—	2	2	no	—
1295	C₂×D₅	—	2	4	no	—
1296	C₂×D₅	—	2	4	no	—
1297	C₂×D₅	—	2	8	no	—
1298	C₂×D₅	—	4	8	no	—
1299	C₂×D₅	—	4	16	no	—
1300	C₂×D₅	—	8	8	no	—
1301	C₂×D₅	—	8	4	no	—
1302	C₂×D₅	C₂²×#41	1	2	yes	—
1303	C₂×D₅	C₂²×#41	1	2	yes	—
1304	C₂×D₅	#585	1	4	yes	—
1305	C₄×C₅	—	2	4	no	—
1306	C₄×C₅	—	2	2	no	—
1307	C₄×C₅	—	2	2	no	—
1308	C₄×C₅	—	2	4	no	—
1309	C₄×C₅	—	2	4	no	—
1310	C₄×C₅	—	2	2	no	—
1311	C₄×C₅	—	2	4	no	—
1312	C₄×C₅	C₂²×#41	1	2	yes	—
1313	C₄×C₅	C₂²×#41	1	2	yes	—
1314	Dic₅	—	2	4	no	—
1315	Dic₅	—	2	2	no	—
1316	Dic₅	—	2	2	no	—
1317	Dic₅	—	2	4	no	—
1318	Dic₅	—	2	4	no	—
1319	Dic₅	—	2	2	no	—
1320	Dic₅	—	2	4	no	—
1321	Dic₅	C₂²×#41	1	2	yes	—
1322	Dic₅	C₂²×#41	1	2	yes	—
1323	C₂⁴	—	5	1	no	—
1324	C₂⁴	—	5	4	no	—
1325	C₂⁴	—	5	2	no	—
1326	C₂⁴	—	5	4	no	—
1327	C₂⁴	—	5	2	no	—
1328	C₂⁴	—	10	8	no	—
1329	C₂⁴	—	20	8	no	—
1330	C₂⁴	C₂³×D₅	1	2	yes	—
1331	#41	—	2	4	no	—
1332	#41	—	10	8	no	—
1333	#41	—	10	8	no	—
1334	#41	—	10	4	no	—
1335	#41	—	10	4	no	—
1336	#41	—	10	4	no	—
1337	C₂×Q₈	—	2	4	no	—
1338	C₂×Q₈	—	5	4	no	—
1339	C₂×Q₈	—	5	2	no	—
1340	C₂×Q₈	—	5	4	no	—
1341	C₂×Q₈	—	5	2	no	—
1342	C₂×Q₈	—	5	2	no	—
1343	C₂×Q₈	—	5	1	no	—
1344	C₂×Q₈	—	5	4	no	—
1345	C₂×Q₈	—	5	4	no	—
1346	C₂×Q₈	—	5	4	no	—
1347	C₂×Q₈	—	10	8	no	—
1348	C₂×Q₈	—	10	8	no	—
1349	C₂×Q₈	—	10	8	no	—
1350	C₂×Q₈	—	10	8	no	—
1351	C₂×Q₈	—	10	8	no	—
1352	C₂×Q₈	—	10	4	no	—
1353	C₂×Q₈	—	10	4	no	—
1354	C₂×Q₈	—	20	8	no	—
1355	C₂×Q₈	C₂³×D₅	1	2	yes	—
1356	C₂×Q₈	C₂³×D₅	1	2	yes	—
1357	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1358	C₂×Q₈	C₂³×D₅	1	4	yes	—
1359	C₂×D₄	—	2	4	no	—
1360	C₂×D₄	—	5	2	no	—
1361	C₂×D₄	—	5	2	no	—
1362	C₂×D₄	—	5	4	no	—
1363	C₂×D₄	—	5	4	no	—
1364	C₂×D₄	—	5	2	no	—
1365	C₂×D₄	—	5	8	no	—
1366	C₂×D₄	—	5	8	no	—
1367	C₂×D₄	—	5	2	no	—
1368	C₂×D₄	—	5	2	no	—
1369	C₂×D₄	—	5	2	no	—
1370	C₂×D₄	—	5	1	no	—
1371	C₂×D₄	—	5	8	no	—
1372	C₂×D₄	—	10	8	no	—
1373	C₂×D₄	—	10	8	no	—
1374	C₂×D₄	—	10	8	no	—
1375	C₂×D₄	—	10	8	no	—
1376	C₂×D₄	—	10	4	no	—
1377	C₂×D₄	—	10	8	no	—
1378	C₂×D₄	—	10	8	no	—
1379	C₂×D₄	—	10	4	no	—
1380	C₂×D₄	—	20	16	no	—
1381	C₂×D₄	C₂³×D₅	1	2	yes	—
1382	C₂×D₄	C₂³×D₅	1	2	yes	—
1383	C₂×D₄	C₂³×D₅	1	2	yes	—
1384	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1385	C₂×D₄	C₂³×D₅	1	8	yes	—
1386	C₂²×C₄	—	5	1	no	—
1387	C₂²×C₄	—	5	8	no	—
1388	C₂²×C₄	—	5	1	no	—
1389	C₂²×C₄	—	5	1	no	—
1390	C₂²×C₄	—	5	1	no	—
1391	C₂²×C₄	—	5	1	no	—
1392	C₂²×C₄	—	5	2	no	—
1393	C₂²×C₄	—	5	2	no	—
1394	C₂²×C₄	—	5	2	no	—
1395	C₂²×C₄	—	5	4	no	—
1396	C₂²×C₄	—	5	8	no	—
1397	C₂²×C₄	—	5	4	no	—
1398	C₂²×C₄	—	5	2	no	—
1399	C₂²×C₄	—	5	4	no	—
1400	C₂²×C₄	—	5	4	no	—
1401	C₂²×C₄	—	5	2	no	—
1402	C₂²×C₄	—	5	2	no	—
1403	C₂²×C₄	—	5	2	no	—
1404	C₂²×C₄	—	5	2	no	—
1405	C₂²×C₄	—	5	4	no	—
1406	C₂²×C₄	—	5	4	no	—
1407	C₂²×C₄	—	5	2	no	—
1408	C₂²×C₄	—	5	2	no	—
1409	C₂²×C₄	—	5	4	no	—
1410	C₂²×C₄	—	5	4	no	—
1411	C₂²×C₄	—	5	8	no	—
1412	C₂²×C₄	—	5	8	no	—
1413	C₂²×C₄	—	10	8	no	—
1414	C₂²×C₄	—	10	8	no	—
1415	C₂²×C₄	—	20	8	no	—
1416	C₂²×C₄	—	20	16	no	—
1417	C₂²×C₄	—	20	4	no	—
1418	C₂²×C₄	C₂³×D₅	1	2	yes	—
1419	C₂²×C₄	C₂³×D₅	1	2	yes	—
1420	C₂²×C₄	C₂³×D₅	1	2	yes	—
1421	C₂²×C₄	C₂³×D₅	1	4	yes	—
1422	C₂²×C₄	C₂³×D₅	1	8	yes	—
1423	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1424	C₄⋊C₄	—	5	4	no	—
1425	C₄⋊C₄	—	5	4	no	—
1426	C₄⋊C₄	—	5	4	no	—
1427	C₄⋊C₄	—	5	4	no	—
1428	C₄⋊C₄	—	5	2	no	—
1429	C₄⋊C₄	—	5	4	no	—
1430	C₄⋊C₄	—	5	2	no	—
1431	C₄⋊C₄	—	5	4	no	—
1432	C₄⋊C₄	—	5	4	no	—
1433	C₄⋊C₄	—	5	4	no	—
1434	C₄⋊C₄	—	5	4	no	—
1435	C₄⋊C₄	—	5	2	no	—
1436	C₄⋊C₄	—	5	8	no	—
1437	C₄⋊C₄	—	5	8	no	—
1438	C₄⋊C₄	—	5	8	no	—
1439	C₄⋊C₄	—	5	8	no	—
1440	C₄⋊C₄	—	5	8	no	—
1441	C₄⋊C₄	—	5	8	no	—
1442	C₄⋊C₄	—	5	4	no	—
1443	C₄⋊C₄	—	5	4	no	—
1444	C₄⋊C₄	—	5	4	no	—
1445	C₄⋊C₄	—	5	4	no	—
1446	C₄⋊C₄	—	5	4	no	—
1447	C₄⋊C₄	—	5	4	no	—
1448	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1449	C₄⋊C₄	C₂³×D₅	1	2	yes	—
1450	C₄⋊C₄	C₂³×D₅	1	2	yes	—
1451	C₄⋊C₄	C₂³×D₅	1	2	yes	—
1452	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1453	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1454	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1455	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1456	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1457	C₂²⋊C₄	—	5	2	no	—
1458	C₂²⋊C₄	—	5	2	no	—
1459	C₂²⋊C₄	—	5	8	no	—
1460	C₂²⋊C₄	—	5	8	no	—
1461	C₂²⋊C₄	—	5	8	no	—
1462	C₂²⋊C₄	—	5	2	no	—
1463	C₂²⋊C₄	—	5	4	no	—
1464	C₂²⋊C₄	—	5	8	no	—
1465	C₂²⋊C₄	—	5	8	no	—
1466	C₂²⋊C₄	—	5	4	no	—
1467	C₂²⋊C₄	—	5	4	no	—
1468	C₂²⋊C₄	—	5	8	no	—
1469	C₂²⋊C₄	—	5	8	no	—
1470	C₂²⋊C₄	—	5	8	no	—
1471	C₂²⋊C₄	—	5	8	no	—
1472	C₂²⋊C₄	—	5	8	no	—
1473	C₂²⋊C₄	—	5	8	no	—
1474	C₂²⋊C₄	—	5	4	no	—
1475	C₂²⋊C₄	—	5	4	no	—
1476	C₂²⋊C₄	—	5	4	no	—
1477	C₂²⋊C₄	—	5	8	no	—
1478	C₂²⋊C₄	—	5	8	no	—
1479	C₂²⋊C₄	—	5	8	no	—
1480	C₂²⋊C₄	—	5	8	no	—
1481	C₂²⋊C₄	C₂³×D₅	1	2	yes	—
1482	C₂²⋊C₄	C₂³×D₅	1	2	yes	—
1483	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1484	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1485	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1486	C₂²⋊C₄	C₂³×D₅	1	2	yes	—
1487	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1488	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1489	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1490	C₄²	—	5	2	no	—
1491	C₄²	—	5	1	no	—
1492	C₄²	—	5	4	no	—
1493	C₄²	—	5	2	no	—
1494	C₄²	—	5	4	no	—
1495	C₄²	—	5	4	no	—
1496	C₄²	—	5	4	no	—
1497	C₄²	—	5	2	no	—
1498	C₄²	—	5	1	no	—
1499	C₄²	—	5	2	no	—
1500	C₄²	—	5	2	no	—
1501	C₄²	—	5	2	no	—
1502	C₄²	—	5	8	no	—
1503	C₄²	—	5	8	no	—
1504	C₄²	—	5	8	no	—
1505	C₄²	—	5	4	no	—
1506	C₄²	—	5	2	no	—
1507	C₄²	—	5	4	no	—
1508	C₄²	—	5	2	no	—
1509	C₄²	C₂³×D₅	1	1	yes	characteristic
1510	C₄²	C₂³×D₅	1	1	yes	characteristic
1511	C₄²	C₂³×D₅	1	2	yes	—
1512	C₄²	C₂³×D₅	1	2	yes	—
1513	C₄²	C₂³×D₅	1	4	yes	—
1514	C₄²	C₂³×D₅	1	8	yes	—
1515	C₄²	C₂³×D₅	1	2	yes	—
1516	C₄²	C₂³×D₅	1	2	yes	—
1517	C₂×C₅	—	2	2	no	—
1518	C₂×C₅	—	4	4	no	—
1519	C₂×C₅	—	4	2	no	—
1520	C₂×C₅	C₂³×#41	1	1	yes	characteristic
1521	C₂×C₅	C₂×#585	1	2	yes	—
1522	D₅	—	2	2	no	—
1523	D₅	—	4	2	no	—
1524	D₅	—	4	4	no	—
1525	D₅	#3510	1	4	yes	direct product factor
1526	C₂³	—	2	4	no	—
1527	C₂³	—	4	4	no	—
1528	C₂³	—	5	1	no	—
1529	C₂³	—	5	4	no	—
1530	C₂³	—	5	1	no	—
1531	C₂³	—	5	4	no	—
1532	C₂³	—	5	2	no	—
1533	C₂³	—	10	4	no	—
1534	C₂³	—	10	4	no	—
1535	C₂³	—	10	8	no	—
1536	C₂³	—	10	16	no	—
1537	C₂³	—	10	8	no	—
1538	C₂³	—	10	8	no	—
1539	C₂³	—	10	4	no	—
1540	C₂³	—	20	4	no	—
1541	C₂³	—	20	8	no	—
1542	C₂³	—	40	16	no	—
1543	C₂³	C₂⁴×D₅	1	4	yes	—
1544	C₂³	C₂⁴×D₅	1	2	yes	—
1545	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1546	Q₈	—	2	4	no	—
1547	Q₈	—	2	4	no	—
1548	Q₈	—	2	2	no	—
1549	Q₈	—	4	4	no	—
1550	Q₈	—	10	8	no	—
1551	Q₈	—	10	8	no	—
1552	Q₈	—	10	4	no	—
1553	Q₈	—	10	4	no	—
1554	Q₈	—	10	4	no	—
1555	Q₈	—	10	2	no	—
1556	Q₈	—	20	4	no	—
1557	Q₈	—	20	4	no	—
1558	Q₈	—	20	4	no	—
1559	D₄	—	2	4	no	—
1560	D₄	—	2	4	no	—
1561	D₄	—	2	4	no	—
1562	D₄	—	2	2	no	—
1563	D₄	—	4	8	no	—
1564	D₄	—	10	4	no	—
1565	D₄	—	10	8	no	—
1566	D₄	—	10	8	no	—
1567	D₄	—	10	4	no	—
1568	D₄	—	10	4	no	—
1569	D₄	—	10	4	no	—
1570	D₄	—	10	4	no	—
1571	D₄	—	10	4	no	—
1572	D₄	—	10	2	no	—
1573	D₄	—	20	8	no	—
1574	D₄	—	20	8	no	—
1575	D₄	—	20	8	no	—
1576	C₂×C₄	—	2	4	no	—
1577	C₂×C₄	—	2	4	no	—
1578	C₂×C₄	—	4	4	no	—
1579	C₂×C₄	—	4	8	no	—
1580	C₂×C₄	—	4	2	no	—
1581	C₂×C₄	—	5	4	no	—
1582	C₂×C₄	—	5	1	no	—
1583	C₂×C₄	—	5	1	no	—
1584	C₂×C₄	—	5	4	no	—
1585	C₂×C₄	—	5	4	no	—
1586	C₂×C₄	—	5	4	no	—
1587	C₂×C₄	—	5	4	no	—
1588	C₂×C₄	—	5	2	no	—
1589	C₂×C₄	—	5	4	no	—
1590	C₂×C₄	—	5	4	no	—
1591	C₂×C₄	—	5	4	no	—
1592	C₂×C₄	—	5	2	no	—
1593	C₂×C₄	—	5	2	no	—
1594	C₂×C₄	—	5	4	no	—
1595	C₂×C₄	—	10	4	no	—
1596	C₂×C₄	—	10	4	no	—
1597	C₂×C₄	—	10	8	no	—
1598	C₂×C₄	—	10	8	no	—
1599	C₂×C₄	—	10	8	no	—
1600	C₂×C₄	—	10	4	no	—
1601	C₂×C₄	—	10	8	no	—
1602	C₂×C₄	—	10	4	no	—
1603	C₂×C₄	—	10	8	no	—
1604	C₂×C₄	—	10	4	no	—
1605	C₂×C₄	—	10	4	no	—
1606	C₂×C₄	—	10	4	no	—
1607	C₂×C₄	—	20	4	no	—
1608	C₂×C₄	—	20	4	no	—
1609	C₂×C₄	—	20	8	no	—
1610	C₂×C₄	—	20	2	no	—
1611	C₂×C₄	—	20	8	no	—
1612	C₂×C₄	—	20	2	no	—
1613	C₂×C₄	—	20	4	no	—
1614	C₂×C₄	—	20	8	no	—
1615	C₂×C₄	—	20	2	no	—
1616	C₂×C₄	D₅×#41	1	4	yes	—
1617	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1618	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1619	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1620	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1621	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1622	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1623	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1624	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1625	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1626	C₅	C₂×#3510	1	1	yes	characteristic, complemented, Sylow
1627	C₂²	—	2	2	no	—
1628	C₂²	—	2	2	no	—
1629	C₂²	—	2	4	no	—
1630	C₂²	—	2	4	no	—
1631	C₂²	—	2	8	no	—
1632	C₂²	—	5	2	no	—
1633	C₂²	—	5	4	no	—
1634	C₂²	—	5	2	no	—
1635	C₂²	—	8	4	no	—
1636	C₂²	—	10	8	no	—
1637	C₂²	—	10	2	no	—
1638	C₂²	—	10	2	no	—
1639	C₂²	—	10	4	no	—
1640	C₂²	—	10	4	no	—
1641	C₂²	—	10	8	no	—
1642	C₂²	—	20	16	no	—
1643	C₂²	—	20	8	no	—
1644	C₂²	—	40	4	no	—
1645	C₂²	—	40	8	no	—
1646	C₂²	C₂×D₅×#41	1	2	yes	—
1647	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1648	C₄	—	2	2	no	—
1649	C₄	—	2	4	no	—
1650	C₄	—	2	2	no	—
1651	C₄	—	2	4	no	—
1652	C₄	—	2	4	no	—
1653	C₄	—	2	2	no	—
1654	C₄	—	2	4	no	—
1655	C₄	—	5	2	no	—
1656	C₄	—	5	2	no	—
1657	C₄	—	10	2	no	—
1658	C₄	—	10	4	no	—
1659	C₄	—	10	2	no	—
1660	C₄	—	10	4	no	—
1661	C₄	—	10	4	no	—
1662	C₄	—	10	2	no	—
1663	C₄	—	10	4	no	—
1664	C₄	C₂×D₅×#41	1	2	yes	—
1665	C₄	C₂×D₅×#41	1	2	yes	—
1666	C₂	—	2	2	no	—
1667	C₂	—	4	4	no	—
1668	C₂	—	4	2	no	—
1669	C₂	—	5	4	no	—
1670	C₂	—	10	2	no	—
1671	C₂	—	20	4	no	—
1672	C₂	—	20	2	no	—
1673	C₂	C₂²×D₅×#41	1	1	yes	characteristic
1674	C₂	D₅×#585	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅
commutator, socle, cosocle	C₂²×C₅	C₂⁶
Fitting	C₅×#3510	C₂
prime radical	D₅×#535	C₂
hypercenter	#3510	D₅
hypocenter	C₅	C₂×#3510
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #3510

Complements

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

N	H ≅ G/N	type
1. C₅×#3510	C₂	semidirect
2. D₅×#559	C₂	semidirect
3. #10618953	C₂	semidirect
4. D₅×#556	C₂	semidirect
5. #10618885	C₂	semidirect
6. D₅×#551	C₂	semidirect
7. #10618695	C₂	semidirect
8. #10618453	C₂	semidirect
9. D₅×#542	C₂	semidirect
10. D₅×#536	C₂	semidirect
11. #10618245	C₂	semidirect
13. #10618221	C₂	semidirect
14. D₅×#533	C₂	semidirect
15. #10618164	C₂	semidirect
16. #10618060	C₂	semidirect
17. D₅×#529	C₂	semidirect
18. C₂×D₅×#124	C₂	semidirect
19. #10617966	C₂	semidirect
20. D₅×#519	C₂	semidirect
21. #10617778	C₂	semidirect
22. D₅×#518	C₂	semidirect
23. #10617764	C₂	semidirect
24. #10617750	C₂	semidirect
25. C₄×D₅×#41	C₂	semidirect
29. C₅×#559	C₂²	semidirect
30. C₅×#556	C₂²	semidirect
31. C₅×#551	C₂²	semidirect
32. C₅×#542	C₂²	semidirect
33. C₅×#536	C₂²	semidirect
35. C₅×#533	C₂²	semidirect
36. C₅×#529	C₂²	semidirect
37. C₂×C₅×#124	C₂²	semidirect
38. C₅×#519	C₂²	semidirect
39. C₅×#518	C₂²	semidirect
40. C₄×C₅×#41	C₂²	semidirect
42. #41×Dic₅	C₂²	semidirect
43. #66159	C₂²	semidirect
44. #66150	C₂²	semidirect
45. C₂×#4093	C₂²	semidirect
46. #66146	C₂²	semidirect
48. #66132	C₂²	semidirect
49. C₂×#4082	C₂²	semidirect
50. #66067	C₂²	semidirect
51. #66066	C₂²	semidirect
52. #66062	C₂²	semidirect
53. #66058	C₂²	semidirect
54. D₅×C₄⋊Q₈	C₂²	semidirect
55. D₅×C₄⋊Q₈	C₂²	semidirect
58. #66047	C₂²	semidirect
59. #66044	C₂²	semidirect
60. #66040	C₂²	semidirect
61. #66039	C₂²	semidirect
62. #66039	C₂²	semidirect
63. D₅×#126	C₂²	semidirect
64. D₅×#126	C₂²	semidirect
65. #66036	C₂²	semidirect
66. #66036	C₂²	semidirect
67. #66025	C₂²	semidirect
68. #66022	C₂²	semidirect
69. D₅×#125	C₂²	semidirect
70. #66016	C₂²	semidirect
71. #66015	C₂²	semidirect
72. #66015	C₂²	semidirect
73. #66015	C₂²	semidirect
74. #66014	C₂²	semidirect
75. #66013	C₂²	semidirect
76. #66009	C₂²	semidirect
82. D₅×#124	C₂²	semidirect
83. D₅×#124	C₂²	semidirect
84. D₅×#124	C₂²	semidirect
85. D₅×#124	C₂²	semidirect
86. D₅×#124	C₂²	semidirect
87. #66005	C₂²	semidirect
88. #66005	C₂²	semidirect
89. #66003	C₂²	semidirect
90. #65998	C₂²	semidirect
91. #65998	C₂²	semidirect
92. #65996	C₂²	semidirect
93. #65993	C₂²	semidirect
94. #65992	C₂²	semidirect
95. #65992	C₂²	semidirect
97. D₅×#123	C₂²	semidirect
98. D₅×#123	C₂²	semidirect
99. #65983	C₂²	semidirect
100. #65982	C₂²	semidirect
101. #65977	C₂²	semidirect
102. #65975	C₂²	semidirect
103. #65974	C₂²	semidirect
104. #65971	C₂²	semidirect
105. #65971	C₂²	semidirect
106. #65962	C₂²	semidirect
108. D₅×C₂²⋊Q₈	C₂²	semidirect
109. D₅×C₂²⋊Q₈	C₂²	semidirect
110. #65958	C₂²	semidirect
111. #65956	C₂²	semidirect
114. #65937	C₂²	semidirect
115. #65934	C₂²	semidirect
118. #65921	C₂²	semidirect
119. #65919	C₂²	semidirect
120. #65919	C₂²	semidirect
121. #65918	C₂²	semidirect
122. #65916	C₂²	semidirect
123. #65914	C₂²	semidirect
124. #65912	C₂²	semidirect
125. C₄×#713	C₂²	semidirect
126. #65906	C₂²	semidirect
127. #65906	C₂²	semidirect
128. C₄×Q₈×D₅	C₂²	semidirect
129. C₄×Q₈×D₅	C₂²	semidirect
130. C₄×Q₈×D₅	C₂²	semidirect
131. C₄×Q₈×D₅	C₂²	semidirect
132. #65902	C₂²	semidirect
133. #65902	C₂²	semidirect
134. #65895	C₂²	semidirect
135. #65893	C₂²	semidirect
136. #65893	C₂²	semidirect
137. #65893	C₂²	semidirect
138. #65891	C₂²	semidirect
139. #65890	C₂²	semidirect
140. #65890	C₂²	semidirect
141. #65879	C₂²	semidirect
142. #65879	C₂²	semidirect
146. C₄×D₄×D₅	C₂²	semidirect
147. C₄×D₄×D₅	C₂²	semidirect
148. #65876	C₂²	semidirect
149. #65872	C₂²	semidirect
150. C₄×#711	C₂²	semidirect
151. C₄×#711	C₂²	semidirect
152. #65868	C₂²	semidirect
153. #65867	C₂²	semidirect
154. #65862	C₂²	semidirect
155. #65861	C₂²	semidirect
156. #65861	C₂²	semidirect
157. #65860	C₂²	semidirect
159. #65856	C₂²	semidirect
160. #65856	C₂²	semidirect
161. #65855	C₂²	semidirect
162. #65855	C₂²	semidirect
167. D₅×#117	C₂²	semidirect
168. D₅×#117	C₂²	semidirect
169. #65851	C₂²	semidirect
170. #65851	C₂²	semidirect
171. #65850	C₂²	semidirect
172. #65850	C₂²	semidirect
173. #65850	C₂²	semidirect
174. #65829	C₂²	semidirect
175. #65829	C₂²	semidirect
176. C₂×#4031	C₂²	semidirect
177. #65820	C₂²	semidirect
180. #65813	C₂²	semidirect
181. C₂×#4021	C₂²	semidirect
182. C₄×#709	C₂²	semidirect
183. C₄×#709	C₂²	semidirect
185. C₂×C₄²×D₅	C₂²	semidirect
186. #65804	C₂²	semidirect
223. C₅×C₄⋊Q₈	C₂³	semidirect
224. C₅×C₄⋊Q₈	C₂³	semidirect
226. C₅×#126	C₂³	semidirect
227. C₅×#126	C₂³	semidirect
228. C₅×#125	C₂³	semidirect
233. C₅×#124	C₂³	semidirect
234. C₅×#124	C₂³	semidirect
236. C₅×#123	C₂³	semidirect
237. C₅×#123	C₂³	semidirect
239. C₅×C₂²⋊Q₈	C₂³	semidirect
240. C₅×C₂²⋊Q₈	C₂³	semidirect
243. C₄×C₅×Q₈	C₂³	semidirect
244. C₄×C₅×Q₈	C₂³	semidirect
245. C₄×C₅×Q₈	C₂³	semidirect
246. C₄×C₅×Q₈	C₂³	semidirect
250. C₄×C₅×D₄	C₂³	semidirect
251. C₄×C₅×D₄	C₂³	semidirect
256. C₅×#117	C₂³	semidirect
257. C₅×#117	C₂³	semidirect
261. C₂×C₄²×C₅	C₂³	semidirect
269. #4093	C₂³	semidirect
270. #4093	C₂³	semidirect
272. #4092	C₂³	semidirect
273. #4092	C₂³	semidirect
274. Q₈×Dic₅	C₂³	semidirect
275. Q₈×Dic₅	C₂³	semidirect
276. Q₈×Dic₅	C₂³	semidirect
277. Q₈×Dic₅	C₂³	semidirect
278. #4090	C₂³	semidirect
279. #4090	C₂³	semidirect
280. #4090	C₂³	semidirect
292. #4082	C₂³	semidirect
293. #4082	C₂³	semidirect
295. #4081	C₂³	semidirect
296. #4081	C₂³	semidirect
300. D₄×Dic₅	C₂³	semidirect
301. D₄×Dic₅	C₂³	semidirect
304. #4075	C₂³	semidirect
305. #4075	C₂³	semidirect
310. C₄×C₂²⋊D₅	C₂³	semidirect
311. C₄×C₂²⋊D₅	C₂³	semidirect
312. C₄×C₂²⋊D₅	C₂³	semidirect
320. #4072	C₂³	semidirect
321. #4072	C₂³	semidirect
323. #4070	C₂³	semidirect
324. #4070	C₂³	semidirect
327. C₂×C₄×Dic₅	C₂³	semidirect
328. C₂×C₄×Dic₅	C₂³	semidirect
329. #4044	C₂³	semidirect
330. #4044	C₂³	semidirect
331. #4044	C₂³	semidirect
332. #4044	C₂³	semidirect
333. #4044	C₂³	semidirect
334. #4044	C₂³	semidirect
336. #4043	C₂³	semidirect
337. #4043	C₂³	semidirect
340. #4042	C₂³	semidirect
341. #4042	C₂³	semidirect
342. #4042	C₂³	semidirect
345. #4040	C₂³	semidirect
346. #4040	C₂³	semidirect
347. #4040	C₂³	semidirect
348. #4040	C₂³	semidirect
352. #4039	C₂³	semidirect
353. #4039	C₂³	semidirect
358. #4038	C₂³	semidirect
359. #4038	C₂³	semidirect
360. #4038	C₂³	semidirect
370. #4036	C₂³	semidirect
371. #4036	C₂³	semidirect
372. #4035	C₂³	semidirect
373. #4035	C₂³	semidirect
374. #4034	C₂³	semidirect
375. #4034	C₂³	semidirect
376. #4034	C₂³	semidirect
377. #4034	C₂³	semidirect
378. #4033	C₂³	semidirect
379. #4033	C₂³	semidirect
380. #4033	C₂³	semidirect
381. #4033	C₂³	semidirect
382. #4033	C₂³	semidirect
383. #4033	C₂³	semidirect
384. #4033	C₂³	semidirect
385. #4033	C₂³	semidirect
386. #4033	C₂³	semidirect
388. #4032	C₂³	semidirect
389. #4032	C₂³	semidirect
395. #4031	C₂³	semidirect
396. #4031	C₂³	semidirect
397. #4031	C₂³	semidirect
398. #4031	C₂³	semidirect
399. #4031	C₂³	semidirect
402. #4029	C₂³	semidirect
403. #4029	C₂³	semidirect
404. #4029	C₂³	semidirect
405. #4029	C₂³	semidirect
412. #4027	C₂³	semidirect
413. #4027	C₂³	semidirect
414. #4027	C₂³	semidirect
429. #4025	C₂³	semidirect
430. #4025	C₂³	semidirect
431. #4025	C₂³	semidirect
432. #4025	C₂³	semidirect
433. #4025	C₂³	semidirect
434. #4025	C₂³	semidirect
437. #4024	C₂³	semidirect
438. #4024	C₂³	semidirect
439. #4024	C₂³	semidirect
445. #4023	C₂³	semidirect
446. #4023	C₂³	semidirect
447. #4023	C₂³	semidirect
448. #4022	C₂³	semidirect
449. #4022	C₂³	semidirect
454. #4021	C₂³	semidirect
455. #4021	C₂³	semidirect
460. C₄×D₂₀	C₂³	semidirect
461. C₄×D₂₀	C₂³	semidirect
466. #4018	C₂³	semidirect
467. #4018	C₂³	semidirect
468. #4018	C₂³	semidirect
469. #4018	C₂³	semidirect
481. C₄²×D₅	C₂³	semidirect
482. C₄²×D₅	C₂³	semidirect
483. C₄²×D₅	C₂³	semidirect
484. #4016	C₂³	semidirect
485. #4015	C₂³	semidirect
486. #4015	C₂³	semidirect
487. C₄×Dic₁₀	C₂³	semidirect
488. C₄×Dic₁₀	C₂³	semidirect
489. C₄×Dic₁₀	C₂³	semidirect
490. C₄×Dic₁₀	C₂³	semidirect
491. C₄×Dic₁₀	C₂³	semidirect
492. C₄×Dic₁₀	C₂³	semidirect
493. C₄×Dic₁₀	C₂³	semidirect
494. C₄×Dic₁₀	C₂³	semidirect
495. C₄×Dic₁₀	C₂³	semidirect
508. #3510	D₅	direct (N × H)
729. #559	C₂×D₅	semidirect
741. #556	C₂×D₅	semidirect
757. #551	C₂×D₅	semidirect
769. #542	C₂×D₅	semidirect
777. #536	C₂×D₅	semidirect
793. #533	C₂×D₅	semidirect
808. #529	C₂×D₅	semidirect
825. C₂×#124	C₂×D₅	semidirect
840. #519	C₂×D₅	semidirect
847. #518	C₂×D₅	semidirect
856. C₄×#41	C₂×D₅	semidirect
1020. C₄⋊Q₈	C₂²×D₅	semidirect
1021. C₄⋊Q₈	C₂²×D₅	semidirect
1041. #126	C₂²×D₅	semidirect
1042. #126	C₂²×D₅	semidirect
1048. #125	C₂²×D₅	semidirect
1081. #124	C₂²×D₅	semidirect
1082. #124	C₂²×D₅	semidirect
1103. #123	C₂²×D₅	semidirect
1104. #123	C₂²×D₅	semidirect
1125. C₂²⋊Q₈	C₂²×D₅	semidirect
1126. C₂²⋊Q₈	C₂²×D₅	semidirect
1161. C₄×Q₈	C₂²×D₅	semidirect
1162. C₄×Q₈	C₂²×D₅	semidirect
1163. C₄×Q₈	C₂²×D₅	semidirect
1164. C₄×Q₈	C₂²×D₅	semidirect
1197. C₄×D₄	C₂²×D₅	semidirect
1198. C₄×D₄	C₂²×D₅	semidirect
1232. #117	C₂²×D₅	semidirect
1233. #117	C₂²×D₅	semidirect
1283. C₂×C₄²	C₂²×D₅	semidirect
1525. D₅	#3510	direct (N × H)
1626. C₅	C₂×#3510	semidirect

Maximal subgroups

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

subgroup	index
C₅×#3510	2
D₅×#559	2
#10618953	2
D₅×#556	2
#10618885	2
D₅×#551	2
#10618695	2
#10618453	2
D₅×#542	2
D₅×#536	2
#10618245	2
D₅×#535	2
#10618221	2
D₅×#533	2
#10618164	2
#10618060	2
D₅×#529	2
C₂×D₅×#124	2
#10617966	2
D₅×#519	2
#10617778	2
D₅×#518	2
#10617764	2
#10617750	2
C₄×D₅×#41	2
C₂×#3510	5

Subgroups — D5×#3510 #13007782

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅×#3510 #13007782