Subgroups — D₅×#3543 #13006883

Order 1280.

8814 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3543	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618984	C₂	1	4	yes	maximal, complemented
3	D₅×#560	C₂	1	4	yes	maximal, complemented
4	#10618967	C₂	1	1	yes	maximal, characteristic, complemented
5	D₅×#559	C₂	1	1	yes	maximal, characteristic, complemented
6	#10618688	C₂	1	2	yes	maximal, complemented
7	D₅×#550	C₂	1	2	yes	maximal, complemented
8	D₅×#546	C₂	1	4	yes	maximal, complemented
9	#10618552	C₂	1	4	yes	maximal, complemented
10	#10618525	C₂	1	1	yes	maximal, characteristic, complemented
11	D₄²×D₅	C₂	1	1	yes	maximal, characteristic, complemented
12	D₄²×D₅	C₂	1	4	yes	maximal, complemented
13	#10618517	C₂	1	4	yes	maximal, complemented
14	#10618394	C₂	1	4	yes	maximal, complemented
15	D₅×#540	C₂	1	4	yes	maximal, complemented
16	#10618237	C₂	1	4	yes	maximal, complemented
17	D₅×#535	C₂	1	4	yes	maximal, complemented
18	D₅×#534	C₂	1	4	yes	maximal, complemented
19	#10618204	C₂	1	4	yes	maximal, complemented
20	#10618098	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×D₅×#127	C₂	1	1	yes	maximal, characteristic, complemented
22	#10618073	C₂	1	2	yes	maximal, complemented
23	D₅×#529	C₂	1	2	yes	maximal, complemented
24	C₂×D₅×#41	C₂²	1	4	yes	complemented
25	C₂²×D₄×D₅	C₂²	1	2	yes	complemented
26	C₂²×D₄×D₅	C₂²	1	4	yes	complemented
27	C₂²×D₄×D₅	C₂²	1	4	yes	complemented
28	C₂²×D₄×D₅	C₂²	1	4	yes	complemented
29	C₅×#560	C₂²	1	4	yes	complemented
30	C₅×#559	C₂²	1	1	yes	characteristic, complemented
31	C₅×#550	C₂²	1	2	yes	complemented
32	C₅×#546	C₂²	1	4	yes	complemented
33	C₅×D₄²	C₂²	1	4	yes	complemented
34	C₅×D₄²	C₂²	1	1	yes	characteristic, complemented
35	C₅×#540	C₂²	1	4	yes	complemented
36	C₅×#535	C₂²	1	4	yes	complemented
37	C₅×#534	C₂²	1	4	yes	complemented
38	C₂×C₅×#127	C₂²	1	1	yes	characteristic, complemented
39	C₅×#529	C₂²	1	2	yes	complemented
40	#66168	C₂²	1	4	yes	complemented
41	#66164	C₂²	1	4	yes	complemented
42	#66163	C₂²	1	4	yes	complemented
43	#66140	C₂²	1	4	yes	complemented
44	#66139	C₂²	1	4	yes	complemented
45	#66138	C₂²	1	4	yes	complemented
46	#66138	C₂²	1	4	yes	complemented
47	C₂×#4086	C₂²	1	2	yes	complemented
48	C₂×#4086	C₂²	1	4	yes	complemented
49	D₄×C₂²⋊D₅	C₂²	1	4	yes	complemented
50	D₄×C₂²⋊D₅	C₂²	1	4	yes	complemented
51	D₄×C₂²⋊D₅	C₂²	1	8	yes	complemented
52	D₄×C₂²⋊D₅	C₂²	1	4	yes	complemented
53	#66054	C₂²	1	4	yes	complemented
54	#66053	C₂²	1	4	yes	complemented
55	#66052	C₂²	1	2	yes	complemented
56	#66052	C₂²	1	4	yes	complemented
57	#66051	C₂²	1	1	yes	characteristic, complemented
58	#66051	C₂²	1	4	yes	complemented
59	#66049	C₂²	1	4	yes	complemented
60	#66049	C₂²	1	4	yes	complemented
61	D₅×#127	C₂²	1	1	yes	characteristic
62	D₅×#127	C₂²	1	1	yes	characteristic, complemented
63	D₅×#127	C₂²	1	4	yes	complemented
64	D₅×#127	C₂²	1	1	yes	characteristic, complemented
65	D₅×#127	C₂²	1	4	yes	complemented
66	D₅×#127	C₂²	1	2	yes	complemented
67	D₅×#127	C₂²	1	1	yes	characteristic, complemented
68	D₅×#127	C₂²	1	4	yes	complemented
69	D₅×#127	C₂²	1	2	yes	complemented
70	#66047	C₂²	1	1	yes	characteristic, complemented
71	#66045	C₂²	1	8	yes	complemented
72	#66040	C₂²	1	4	yes	complemented
73	D₅×#126	C₂²	1	4	yes	complemented
74	#66032	C₂²	1	4	yes	complemented
75	#66025	C₂²	1	2	yes	complemented
76	D₅×#125	C₂²	1	2	yes	complemented
77	#66015	C₂²	1	4	yes	complemented
78	#66014	C₂²	1	2	yes	complemented
79	#66010	C₂²	1	4	yes	complemented
80	#66008	C₂²	1	4	yes	complemented
81	#66008	C₂²	1	4	yes	complemented
82	D₅×#124	C₂²	1	4	yes	complemented
83	D₅×#124	C₂²	1	2	yes	complemented
84	#66000	C₂²	1	8	yes	complemented
85	#66000	C₂²	1	4	yes	complemented
86	#65998	C₂²	1	4	yes	complemented
87	#65997	C₂²	1	8	yes	complemented
88	#65997	C₂²	1	8	yes	complemented
89	#65988	C₂²	1	8	yes	complemented
90	#65987	C₂²	1	4	yes	complemented
91	#65987	C₂²	1	4	yes	complemented
92	#65987	C₂²	1	8	yes	complemented
93	D₅×#123	C₂²	1	4	yes	complemented
94	D₅×#123	C₂²	1	8	yes	complemented
95	D₅×#123	C₂²	1	4	yes	complemented
96	D₅×#123	C₂²	1	4	yes	complemented
97	#65983	C₂²	1	4	yes	complemented
98	#65964	C₂²	1	4	yes	complemented
99	D₅×C₂²⋊Q₈	C₂²	1	2	yes	complemented
100	#65958	C₂²	1	2	yes	complemented
101	#65954	C₂²	1	8	yes	complemented
102	#65954	C₂²	1	8	yes	complemented
103	#65954	C₂²	1	8	yes	complemented
104	#65953	C₂²	1	4	yes	complemented
105	#65953	C₂²	1	4	yes	complemented
106	#65949	C₂²	1	8	yes	complemented
107	#65949	C₂²	1	8	yes	complemented
108	#65946	C₂²	1	4	yes	complemented
109	#65944	C₂²	1	8	yes	complemented
110	#65943	C₂²	1	4	yes	complemented
111	#65943	C₂²	1	8	yes	complemented
112	#65943	C₂²	1	4	yes	complemented
113	#65943	C₂²	1	4	yes	complemented
114	#65941	C₂²	1	8	yes	complemented
115	#65941	C₂²	1	8	yes	complemented
116	#65939	C₂²	1	8	yes	complemented
117	#65939	C₂²	1	8	yes	complemented
118	D₅×#121	C₂²	1	2	yes	—
119	D₅×#121	C₂²	1	4	yes	complemented
120	D₅×#121	C₂²	1	8	yes	complemented
121	D₅×#121	C₂²	1	8	yes	complemented
122	D₅×#121	C₂²	1	4	yes	complemented
123	D₅×#121	C₂²	1	8	yes	complemented
124	D₅×#121	C₂²	1	8	yes	complemented
125	#65934	C₂²	1	2	yes	complemented
126	#65933	C₂²	1	4	yes	complemented
127	#65933	C₂²	1	8	yes	complemented
128	#65929	C₂²	1	4	yes	complemented
129	#65929	C₂²	1	8	yes	complemented
130	#65926	C₂²	1	8	yes	complemented
131	#65926	C₂²	1	8	yes	complemented
132	#65925	C₂²	1	8	yes	complemented
133	#65924	C₂²	1	8	yes	complemented
134	#65924	C₂²	1	8	yes	complemented
135	#65924	C₂²	1	4	yes	complemented
136	#65923	C₂²	1	4	yes	complemented
137	#65923	C₂²	1	4	yes	complemented
138	#65923	C₂²	1	8	yes	complemented
139	D₅×#120	C₂²	1	4	yes	complemented
140	D₅×#120	C₂²	1	4	yes	complemented
141	D₅×#120	C₂²	1	8	yes	complemented
142	D₅×#120	C₂²	1	8	yes	complemented
143	#65919	C₂²	1	2	yes	complemented
144	#65914	C₂²	1	2	yes	complemented
145	#65911	C₂²	1	2	yes	complemented
146	C₄×Q₈×D₅	C₂²	1	2	yes	complemented
147	#65896	C₂²	1	4	yes	complemented
148	#65896	C₂²	1	4	yes	complemented
149	#65893	C₂²	1	4	yes	complemented
150	#65891	C₂²	1	2	yes	complemented
151	#65888	C₂²	1	4	yes	complemented
152	#65887	C₂²	1	4	yes	complemented
153	#65887	C₂²	1	2	yes	complemented
154	#65884	C₂²	1	4	yes	complemented
155	D₄×D₂₀	C₂²	1	2	yes	complemented
156	D₄×D₂₀	C₂²	1	4	yes	complemented
157	D₄×D₂₀	C₂²	1	4	yes	complemented
158	C₄×D₄×D₅	C₂²	1	4	yes	complemented
159	C₄×D₄×D₅	C₂²	1	4	yes	complemented
160	C₄×D₄×D₅	C₂²	1	2	yes	complemented
161	C₄×D₄×D₅	C₂²	1	4	yes	complemented
162	#65872	C₂²	1	4	yes	complemented
163	#65869	C₂²	1	4	yes	complemented
164	#65862	C₂²	1	4	yes	complemented
165	#65859	C₂²	1	4	yes	complemented
166	D₅×#117	C₂²	1	4	yes	complemented
167	#65827	C₂²	1	4	yes	complemented
168	#65824	C₂²	1	8	yes	complemented
169	C₂×D₅×C₂²⋊C₄	C₂²	1	4	yes	complemented
170	#65813	C₂²	1	2	yes	complemented
171	C₂×#4020	C₂²	1	1	yes	characteristic, complemented
172	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
173	C₂×#3543	—	5	1	no	maximal, Sylow
174	C₂⁴×D₅	C₂³	1	4	yes	—
175	C₂⁴×D₅	C₂³	1	4	yes	—
176	C₂×C₅×#41	C₂³	1	4	yes	complemented
177	C₂²×C₅×D₄	C₂³	1	4	yes	complemented
178	C₂²×C₅×D₄	C₂³	1	4	yes	complemented
179	C₂²×C₅×D₄	C₂³	1	4	yes	complemented
180	C₂²×C₅×D₄	C₂³	1	2	yes	complemented
181	C₂²×C₂²⋊D₅	C₂³	1	8	yes	complemented
182	C₂²×C₂²⋊D₅	C₂³	1	4	yes	complemented
183	C₂²×C₂²⋊D₅	C₂³	1	4	yes	complemented
184	C₂²×C₂²⋊D₅	C₂³	1	4	yes	complemented
185	C₂²×C₂²⋊D₅	C₂³	1	8	yes	complemented
186	D₅×#41	—	4	16	no	—
187	C₂×#713	C₂³	1	4	yes	complemented
188	C₂×Q₈×D₅	C₂³	1	2	yes	—
189	C₂×#711	C₂³	1	4	yes	complemented
190	C₂×#711	C₂³	1	8	yes	complemented
191	C₂×D₄×D₅	—	4	16	no	—
192	C₂×D₄×D₅	—	4	16	no	—
193	C₂×D₄×D₅	—	4	8	no	—
194	C₂×D₄×D₅	—	4	16	no	—
195	C₂×D₄×D₅	C₂³	1	4	yes	—
196	C₂×D₄×D₅	C₂³	1	4	yes	—
197	C₂×D₄×D₅	C₂³	1	2	yes	—
198	C₂×D₄×D₅	C₂³	1	4	yes	—
199	C₂×D₄×D₅	C₂³	1	2	yes	—
200	C₂×D₄×D₅	C₂³	1	8	yes	—
201	C₂×D₄×D₅	C₂³	1	4	yes	—
202	C₂×D₄×D₅	C₂³	1	2	yes	—
203	C₂×D₄×D₅	C₂³	1	8	yes	—
204	C₂×D₄×D₅	C₂³	1	8	yes	—
205	C₂×D₄×D₅	C₂³	1	8	yes	—
206	C₂×D₄×D₅	C₂³	1	4	yes	complemented
207	C₂×D₄×D₅	C₂³	1	4	yes	complemented
208	C₂×D₄×D₅	C₂³	1	2	yes	complemented
209	C₂×D₄×D₅	C₂³	1	4	yes	complemented
210	C₂×D₄×D₅	C₂³	1	8	yes	complemented
211	C₂×D₄×D₅	C₂³	1	2	yes	complemented
212	C₂×D₄×D₅	C₂³	1	4	yes	complemented
213	C₂×D₄×D₅	C₂³	1	4	yes	complemented
214	C₂×D₄×D₅	C₂³	1	8	yes	complemented
215	C₂×D₄×D₅	C₂³	1	8	yes	complemented
216	C₂×D₄×D₅	C₂³	1	8	yes	complemented
217	C₂×#709	C₂³	1	8	yes	complemented
218	C₂×#709	C₂³	1	4	yes	complemented
219	C₂²×D₂₀	C₂³	1	4	yes	complemented
220	C₂²×D₂₀	C₂³	1	2	yes	complemented
221	C₂²×D₂₀	C₂³	1	4	yes	complemented
222	C₂²×D₂₀	C₂³	1	4	yes	complemented
223	C₂²×C₄×D₅	C₂³	1	2	yes	—
224	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
225	C₂²×C₄×D₅	C₂³	1	4	yes	—
226	C₂²×C₄×D₅	C₂³	1	8	yes	—
227	C₂²×C₄×D₅	C₂³	1	4	yes	—
228	C₅×#127	C₂³	1	1	yes	characteristic
229	C₅×#127	C₂³	1	4	yes	complemented
230	C₅×#127	C₂³	1	1	yes	characteristic, complemented
231	C₅×#127	C₂³	1	2	yes	complemented
232	C₅×#127	C₂³	1	4	yes	complemented
233	C₅×#126	C₂³	1	4	yes	complemented
234	C₅×#125	C₂³	1	2	yes	complemented
235	C₅×#124	C₂³	1	2	yes	complemented
236	C₅×#124	C₂³	1	4	yes	complemented
237	C₅×#123	C₂³	1	4	yes	complemented
238	C₅×#123	C₂³	1	4	yes	complemented
239	C₅×#123	C₂³	1	4	yes	complemented
240	C₅×#123	C₂³	1	8	yes	complemented
241	C₅×C₂²⋊Q₈	C₂³	1	2	yes	complemented
242	C₅×#121	C₂³	1	2	yes	—
243	C₅×#121	C₂³	1	8	yes	complemented
244	C₅×#121	C₂³	1	4	yes	complemented
245	C₅×#121	C₂³	1	8	yes	complemented
246	C₅×#121	C₂³	1	8	yes	complemented
247	C₅×#121	C₂³	1	4	yes	complemented
248	C₅×#121	C₂³	1	8	yes	complemented
249	C₅×#120	C₂³	1	8	yes	complemented
250	C₅×#120	C₂³	1	4	yes	complemented
251	C₅×#120	C₂³	1	4	yes	complemented
252	C₅×#120	C₂³	1	8	yes	complemented
253	C₄×C₅×Q₈	C₂³	1	2	yes	complemented
254	C₄×C₅×D₄	C₂³	1	4	yes	complemented
255	C₄×C₅×D₄	C₂³	1	2	yes	complemented
256	C₄×C₅×D₄	C₂³	1	4	yes	complemented
257	C₄×C₅×D₄	C₂³	1	4	yes	complemented
258	C₅×#117	C₂³	1	4	yes	complemented
259	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	complemented
260	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic, complemented
261	#4099	C₂³	1	8	yes	complemented
262	#4099	C₂³	1	4	yes	complemented
263	#4099	C₂³	1	8	yes	complemented
264	#4099	C₂³	1	4	yes	complemented
265	C₂×C₂²⋊Dic₅	C₂³	1	4	yes	complemented
266	#4093	C₂³	1	4	yes	complemented
267	#4093	C₂³	1	2	yes	complemented
268	#4092	C₂³	1	2	yes	complemented
269	Q₈×Dic₅	C₂³	1	2	yes	complemented
270	#4086	C₂³	1	4	yes	—
271	#4086	C₂³	1	2	yes	—
272	#4086	C₂³	1	4	yes	complemented
273	#4086	C₂³	1	4	yes	complemented
274	#4086	C₂³	1	4	yes	complemented
275	#4086	C₂³	1	8	yes	complemented
276	#4086	C₂³	1	8	yes	complemented
277	#4086	C₂³	1	2	yes	complemented
278	#4086	C₂³	1	8	yes	complemented
279	#4086	C₂³	1	2	yes	complemented
280	#4086	C₂³	1	2	yes	complemented
281	#4086	C₂³	1	4	yes	complemented
282	#4086	C₂³	1	4	yes	complemented
283	#4086	C₂³	1	8	yes	complemented
284	#4086	C₂³	1	8	yes	complemented
285	#4085	C₂³	1	4	yes	—
286	#4085	C₂³	1	8	yes	complemented
287	#4085	C₂³	1	8	yes	complemented
288	#4085	C₂³	1	8	yes	complemented
289	#4085	C₂³	1	8	yes	complemented
290	#4085	C₂³	1	8	yes	complemented
291	#4085	C₂³	1	8	yes	complemented
292	#4085	C₂³	1	8	yes	complemented
293	#4085	C₂³	1	8	yes	complemented
294	#4085	C₂³	1	8	yes	complemented
295	#4085	C₂³	1	8	yes	complemented
296	#4084	C₂³	1	2	yes	—
297	#4084	C₂³	1	4	yes	complemented
298	#4084	C₂³	1	4	yes	complemented
299	#4084	C₂³	1	8	yes	complemented
300	#4084	C₂³	1	8	yes	complemented
301	#4084	C₂³	1	8	yes	complemented
302	#4084	C₂³	1	8	yes	complemented
303	#4083	C₂³	1	4	yes	complemented
304	#4083	C₂³	1	8	yes	complemented
305	#4083	C₂³	1	8	yes	complemented
306	#4083	C₂³	1	8	yes	complemented
307	#4083	C₂³	1	4	yes	complemented
308	#4083	C₂³	1	8	yes	complemented
309	#4083	C₂³	1	8	yes	complemented
310	#4083	C₂³	1	8	yes	complemented
311	#4083	C₂³	1	8	yes	complemented
312	#4083	C₂³	1	8	yes	complemented
313	#4082	C₂³	1	2	yes	complemented
314	#4082	C₂³	1	4	yes	complemented
315	#4081	C₂³	1	4	yes	complemented
316	#4081	C₂³	1	8	yes	complemented
317	#4081	C₂³	1	4	yes	complemented
318	#4081	C₂³	1	4	yes	complemented
319	D₄×Dic₅	C₂³	1	4	yes	complemented
320	D₄×Dic₅	C₂³	1	2	yes	complemented
321	D₄×Dic₅	C₂³	1	4	yes	complemented
322	D₄×Dic₅	C₂³	1	4	yes	complemented
323	#4076	C₂³	1	2	yes	—
324	#4076	C₂³	1	8	yes	complemented
325	#4076	C₂³	1	8	yes	complemented
326	#4076	C₂³	1	8	yes	complemented
327	#4076	C₂³	1	4	yes	complemented
328	#4076	C₂³	1	4	yes	complemented
329	#4076	C₂³	1	8	yes	complemented
330	#4075	C₂³	1	4	yes	complemented
331	#4075	C₂³	1	8	yes	complemented
332	#4075	C₂³	1	4	yes	complemented
333	#4075	C₂³	1	4	yes	complemented
334	C₄×C₂²⋊D₅	C₂³	1	4	yes	complemented
335	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
336	C₄×C₂²⋊D₅	C₂³	1	4	yes	complemented
337	C₄×C₂²⋊D₅	C₂³	1	4	yes	complemented
338	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
339	C₂×#685	C₂³	1	8	yes	complemented
340	#4072	C₂³	1	4	yes	complemented
341	#4070	C₂³	1	2	yes	complemented
342	C₂×C₄×Dic₅	C₂³	1	2	yes	complemented
343	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic, complemented
344	#4044	C₂³	1	4	yes	complemented
345	#4044	C₂³	1	4	yes	complemented
346	#4044	C₂³	1	4	yes	complemented
347	#4043	C₂³	1	2	yes	complemented
348	#4042	C₂³	1	4	yes	complemented
349	#4041	C₂³	1	2	yes	—
350	#4041	C₂³	1	8	yes	complemented
351	#4041	C₂³	1	8	yes	complemented
352	#4041	C₂³	1	4	yes	complemented
353	#4041	C₂³	1	4	yes	complemented
354	#4041	C₂³	1	8	yes	complemented
355	#4041	C₂³	1	8	yes	complemented
356	#4040	C₂³	1	4	yes	complemented
357	#4040	C₂³	1	8	yes	complemented
358	#4040	C₂³	1	8	yes	complemented
359	#4040	C₂³	1	8	yes	complemented
360	#4040	C₂³	1	4	yes	complemented
361	#4040	C₂³	1	8	yes	complemented
362	#4039	C₂³	1	2	yes	complemented
363	#4039	C₂³	1	4	yes	complemented
364	#4039	C₂³	1	4	yes	complemented
365	#4039	C₂³	1	4	yes	complemented
366	#4038	C₂³	1	4	yes	complemented
367	#4038	C₂³	1	4	yes	complemented
368	D₅×C₄⋊C₄	C₂³	1	4	yes	—
369	D₅×C₄⋊C₄	C₂³	1	4	yes	—
370	D₅×C₄⋊C₄	C₂³	1	2	yes	—
371	D₅×C₄⋊C₄	C₂³	1	2	yes	—
372	D₅×C₄⋊C₄	C₂³	1	4	yes	—
373	D₅×C₄⋊C₄	C₂³	1	4	yes	—
374	#4036	C₂³	1	2	yes	complemented
375	#4036	C₂³	1	2	yes	complemented
376	#4035	C₂³	1	4	yes	complemented
377	#4035	C₂³	1	4	yes	complemented
378	#4033	C₂³	1	2	yes	complemented
379	#4033	C₂³	1	4	yes	complemented
380	#4032	C₂³	1	4	yes	complemented
381	#4032	C₂³	1	4	yes	complemented
382	#4032	C₂³	1	4	yes	complemented
383	#4032	C₂³	1	8	yes	complemented
384	#4031	C₂³	1	8	yes	complemented
385	#4031	C₂³	1	4	yes	complemented
386	#4031	C₂³	1	4	yes	complemented
387	#4031	C₂³	1	8	yes	complemented
388	#4030	C₂³	1	4	yes	—
389	#4030	C₂³	1	8	yes	complemented
390	#4030	C₂³	1	8	yes	complemented
391	#4030	C₂³	1	8	yes	complemented
392	#4030	C₂³	1	8	yes	complemented
393	#4030	C₂³	1	8	yes	complemented
394	#4030	C₂³	1	8	yes	complemented
395	#4030	C₂³	1	8	yes	complemented
396	#4030	C₂³	1	8	yes	complemented
397	#4030	C₂³	1	8	yes	complemented
398	#4030	C₂³	1	8	yes	complemented
399	#4029	C₂³	1	8	yes	complemented
400	#4029	C₂³	1	4	yes	complemented
401	#4029	C₂³	1	4	yes	complemented
402	#4029	C₂³	1	8	yes	complemented
403	#4029	C₂³	1	8	yes	complemented
404	#4029	C₂³	1	8	yes	complemented
405	#4028	C₂³	1	8	yes	complemented
406	#4028	C₂³	1	4	yes	complemented
407	#4028	C₂³	1	4	yes	complemented
408	#4028	C₂³	1	8	yes	complemented
409	#4028	C₂³	1	8	yes	complemented
410	#4028	C₂³	1	8	yes	complemented
411	#4028	C₂³	1	8	yes	complemented
412	#4028	C₂³	1	8	yes	complemented
413	#4028	C₂³	1	8	yes	complemented
414	#4028	C₂³	1	8	yes	complemented
415	#4027	C₂³	1	4	yes	complemented
416	#4027	C₂³	1	4	yes	complemented
417	#4027	C₂³	1	4	yes	complemented
418	#4027	C₂³	1	8	yes	complemented
419	#4027	C₂³	1	8	yes	complemented
420	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
421	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
422	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
423	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
424	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
425	D₅×C₂²⋊C₄	C₂³	1	4	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	D₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
430	D₅×C₂²⋊C₄	C₂³	1	4	yes	complemented
431	D₅×C₂²⋊C₄	C₂³	1	4	yes	complemented
432	#4025	C₂³	1	4	yes	complemented
433	#4025	C₂³	1	4	yes	complemented
434	#4025	C₂³	1	4	yes	complemented
435	#4024	C₂³	1	4	yes	complemented
436	#4023	C₂³	1	4	yes	complemented
437	#4023	C₂³	1	4	yes	complemented
438	#4022	C₂³	1	4	yes	complemented
439	#4021	C₂³	1	2	yes	complemented
440	#4021	C₂³	1	4	yes	complemented
441	#4020	C₂³	1	1	yes	characteristic
442	#4020	C₂³	1	4	yes	complemented
443	#4020	C₂³	1	1	yes	characteristic, complemented
444	#4020	C₂³	1	2	yes	complemented
445	#4020	C₂³	1	4	yes	complemented
446	C₄×D₂₀	C₂³	1	2	yes	complemented
447	C₄×D₂₀	C₂³	1	4	yes	complemented
448	C₄×D₂₀	C₂³	1	4	yes	complemented
449	C₄×D₂₀	C₂³	1	4	yes	complemented
450	#4018	C₂³	1	4	yes	complemented
451	#4018	C₂³	1	4	yes	complemented
452	C₄²×D₅	C₂³	1	1	yes	characteristic
453	C₄²×D₅	C₂³	1	2	yes	—
454	C₄²×D₅	C₂³	1	1	yes	characteristic
455	C₄²×D₅	C₂³	1	4	yes	—
456	C₄²×D₅	C₂³	1	2	yes	complemented
457	C₄²×D₅	C₂³	1	1	yes	characteristic, complemented
458	C₄²×D₅	C₂³	1	1	yes	characteristic, complemented
459	#4016	C₂³	1	2	yes	complemented
460	C₄×Dic₁₀	C₂³	1	2	yes	complemented
461	C₄×Dic₁₀	C₂³	1	4	yes	complemented
462	#3543	—	5	4	no	—
463	#3543	—	5	1	no	—
464	#3543	—	5	2	no	—
465	#3543	—	5	4	no	—
466	#3543	—	5	4	no	—
467	#3543	—	5	1	no	—
468	#3543	—	5	4	no	—
469	#3543	—	5	4	no	—
470	#3543	—	5	4	no	—
471	#3543	—	5	1	no	—
472	#3543	—	5	2	no	—
473	#3543	D₅	1	1	yes	characteristic, direct product factor
474	C₂×#560	—	5	4	no	—
475	C₂×#559	—	5	1	no	—
476	C₂×#550	—	5	2	no	—
477	C₂×#546	—	5	4	no	—
478	C₂×D₄²	—	5	4	no	—
479	C₂×D₄²	—	5	1	no	—
480	C₂×#540	—	5	4	no	—
481	C₂×#535	—	5	4	no	—
482	C₂×#534	—	5	4	no	—
483	C₂²×#127	—	5	1	no	—
484	C₂×#529	—	5	2	no	—
485	C₂⁴×C₅	C₂⁴	1	4	yes	—
486	C₂⁴×C₅	C₂⁴	1	4	yes	—
487	C₂³×D₅	—	2	16	no	—
488	C₂³×D₅	—	4	16	no	—
489	C₂³×D₅	—	4	16	no	—
490	C₂³×D₅	—	4	8	no	—
491	C₂³×D₅	C₂⁴	1	4	yes	—
492	C₂³×D₅	C₂⁴	1	4	yes	—
493	C₂³×D₅	C₂⁴	1	4	yes	—
494	C₂³×D₅	C₂⁴	1	1	yes	characteristic
495	C₂³×D₅	C₂⁴	1	4	yes	—
496	C₂³×D₅	C₂⁴	1	4	yes	—
497	C₂³×D₅	C₂⁴	1	4	yes	—
498	C₂³×D₅	C₂⁴	1	8	yes	—
499	C₂³×D₅	C₂⁴	1	4	yes	—
500	C₅×#41	—	4	8	no	—
501	C₂×C₅×Q₈	C₂⁴	1	2	yes	—
502	C₂×C₅×D₄	—	4	8	no	—
503	C₂×C₅×D₄	—	4	8	no	—
504	C₂×C₅×D₄	—	4	4	no	—
505	C₂×C₅×D₄	—	4	8	no	—
506	C₂×C₅×D₄	C₂⁴	1	4	yes	—
507	C₂×C₅×D₄	C₂⁴	1	2	yes	—
508	C₂×C₅×D₄	C₂⁴	1	4	yes	—
509	C₂×C₅×D₄	C₂⁴	1	4	yes	—
510	C₂×C₅×D₄	C₂⁴	1	8	yes	—
511	C₂×C₅×D₄	C₂⁴	1	8	yes	—
512	C₂×C₅×D₄	C₂⁴	1	2	yes	—
513	C₂×C₅×D₄	C₂⁴	1	8	yes	—
514	C₂×C₅×D₄	C₂⁴	1	4	yes	—
515	C₂×C₅×D₄	C₂⁴	1	8	yes	—
516	C₂×C₅×D₄	C₂⁴	1	2	yes	—
517	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
518	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
520	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
521	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
522	C₂×C₂²⋊D₅	—	4	16	no	—
523	C₂×C₂²⋊D₅	—	4	16	no	—
524	C₂×C₂²⋊D₅	—	4	8	no	—
525	C₂×C₂²⋊D₅	—	4	8	no	—
526	C₂×C₂²⋊D₅	—	4	8	no	—
527	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
528	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
529	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
530	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
531	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
532	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
533	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
534	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
535	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
536	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
537	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
538	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
539	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
540	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
541	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
542	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
543	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
544	C₂²×Dic₅	C₂⁴	1	4	yes	—
545	C₂²×Dic₅	C₂⁴	1	2	yes	—
546	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
547	C₂²×Dic₅	C₂⁴	1	8	yes	—
548	C₂²×Dic₅	C₂⁴	1	4	yes	—
549	#713	—	4	8	no	—
550	Q₈×D₅	—	2	8	no	—
551	#711	—	4	8	no	—
552	#711	—	4	16	no	—
553	D₄×D₅	—	2	16	no	—
554	D₄×D₅	—	2	16	no	—
555	D₄×D₅	—	2	8	no	—
556	D₄×D₅	—	2	16	no	—
557	D₄×D₅	—	4	8	no	—
558	D₄×D₅	—	4	8	no	—
559	D₄×D₅	—	4	8	no	—
560	D₄×D₅	—	4	8	no	—
561	D₄×D₅	—	4	16	no	—
562	D₄×D₅	—	4	16	no	—
563	D₄×D₅	—	4	16	no	—
564	D₄×D₅	—	4	16	no	—
565	D₄×D₅	—	4	4	no	—
566	D₄×D₅	—	4	8	no	—
567	D₄×D₅	—	4	4	no	—
568	D₄×D₅	—	4	16	no	—
569	D₄×D₅	—	4	4	no	—
570	D₄×D₅	—	4	8	no	—
571	D₄×D₅	—	4	4	no	—
572	D₄×D₅	—	4	16	no	—
573	D₄×D₅	—	4	16	no	—
574	D₄×D₅	—	4	16	no	—
575	#709	—	4	16	no	—
576	#709	—	4	8	no	—
577	C₂×D₂₀	—	4	8	no	—
578	C₂×D₂₀	—	4	8	no	—
579	C₂×D₂₀	—	4	8	no	—
580	C₂×D₂₀	—	4	4	no	—
581	C₂×D₂₀	C₂⁴	1	4	yes	—
582	C₂×D₂₀	C₂⁴	1	2	yes	—
583	C₂×D₂₀	C₂⁴	1	4	yes	—
584	C₂×D₂₀	C₂⁴	1	4	yes	—
585	C₂×D₂₀	C₂⁴	1	2	yes	—
586	C₂×D₂₀	C₂⁴	1	8	yes	—
587	C₂×D₂₀	C₂⁴	1	4	yes	—
588	C₂×D₂₀	C₂⁴	1	2	yes	—
589	C₂×D₂₀	C₂⁴	1	8	yes	—
590	C₂×D₂₀	C₂⁴	1	8	yes	—
591	C₂×D₂₀	C₂⁴	1	8	yes	—
592	C₂×C₄×D₅	—	2	4	no	—
593	C₂×C₄×D₅	—	2	8	no	—
594	C₂×C₄×D₅	—	2	16	no	—
595	C₂×C₄×D₅	—	4	8	no	—
596	C₂×C₄×D₅	—	4	16	no	—
597	C₂×C₄×D₅	C₂⁴	1	4	yes	—
598	C₂×C₄×D₅	C₂⁴	1	4	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	1	yes	characteristic
603	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
604	C₂×C₄×D₅	C₂⁴	1	2	yes	—
605	C₂×C₄×D₅	C₂⁴	1	2	yes	—
606	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
607	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
608	C₂×C₄×D₅	C₂⁴	1	4	yes	—
609	C₂×C₄×D₅	C₂⁴	1	8	yes	—
610	C₂×C₄×D₅	C₂⁴	1	8	yes	—
611	C₂×C₄×D₅	C₂⁴	1	8	yes	—
612	C₂×C₄×D₅	C₂⁴	1	2	yes	—
613	C₂×Dic₁₀	C₂⁴	1	2	yes	—
614	C₂×Dic₁₀	C₂⁴	1	4	yes	—
615	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
616	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
617	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
618	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
619	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
620	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
621	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
622	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
623	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
624	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
625	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
626	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
627	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
628	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
629	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
630	C₄²×C₅	C₂⁴	1	2	yes	—
631	C₄²×C₅	C₂⁴	1	1	yes	characteristic
632	C₄²×C₅	C₂⁴	1	1	yes	characteristic
633	C₄²×C₅	C₂⁴	1	4	yes	—
634	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
635	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
636	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
637	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
638	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
639	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
640	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
641	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
642	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
643	#685	C₂⁴	1	4	yes	—
644	#685	C₂⁴	1	4	yes	—
645	#685	C₂⁴	1	4	yes	—
646	#685	C₂⁴	1	4	yes	—
647	#685	C₂⁴	1	4	yes	—
648	#685	C₂⁴	1	4	yes	—
649	#685	C₂⁴	1	4	yes	—
650	#685	C₂⁴	1	8	yes	—
651	#685	C₂⁴	1	8	yes	—
652	#685	C₂⁴	1	4	yes	—
653	#685	C₂⁴	1	8	yes	—
654	#685	C₂⁴	1	8	yes	—
655	#685	C₂⁴	1	4	yes	—
656	#685	C₂⁴	1	8	yes	—
657	#685	C₂⁴	1	4	yes	—
658	#685	C₂⁴	1	8	yes	—
659	C₄⋊Dic₅	C₂⁴	1	2	yes	—
660	C₄⋊Dic₅	C₂⁴	1	4	yes	—
661	C₄⋊Dic₅	C₂⁴	1	2	yes	—
662	C₄⋊Dic₅	C₂⁴	1	4	yes	—
663	C₄⋊Dic₅	C₂⁴	1	4	yes	—
664	C₄⋊Dic₅	C₂⁴	1	4	yes	—
665	#683	C₂⁴	1	4	yes	—
666	#683	C₂⁴	1	4	yes	—
667	#683	C₂⁴	1	4	yes	—
668	#683	C₂⁴	1	4	yes	—
669	#683	C₂⁴	1	4	yes	—
670	#683	C₂⁴	1	4	yes	—
671	#683	C₂⁴	1	4	yes	—
672	#683	C₂⁴	1	4	yes	—
673	#683	C₂⁴	1	4	yes	—
674	#683	C₂⁴	1	4	yes	—
675	C₄×Dic₅	C₂⁴	1	2	yes	—
676	C₄×Dic₅	C₂⁴	1	4	yes	—
677	C₄×Dic₅	C₂⁴	1	2	yes	—
678	C₄×Dic₅	C₂⁴	1	2	yes	—
679	C₄×Dic₅	C₂⁴	1	2	yes	—
680	C₄×Dic₅	C₂⁴	1	2	yes	—
681	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
682	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
683	C₄×Dic₅	C₂⁴	1	4	yes	—
684	C₄×Dic₅	C₂⁴	1	4	yes	—
685	C₂²×#41	—	5	4	no	—
686	C₂³×D₄	—	5	2	no	—
687	C₂³×D₄	—	5	4	no	—
688	C₂³×D₄	—	5	4	no	—
689	C₂³×D₄	—	5	4	no	—
690	#560	—	5	4	no	—
691	#560	—	5	8	no	—
692	#560	—	5	4	no	—
693	#560	—	5	8	no	—
694	#560	—	5	8	no	—
695	#560	—	5	8	no	—
696	#560	—	5	8	no	—
697	#560	—	5	8	no	—
698	#560	—	5	4	no	—
699	#560	C₂×D₅	1	4	yes	complemented
700	#559	—	5	1	no	—
701	#559	—	5	4	no	—
702	#559	—	5	4	no	—
703	#559	—	5	2	no	—
704	#559	—	5	4	no	—
705	#559	C₂×D₅	1	1	yes	characteristic, complemented
706	#550	—	5	4	no	—
707	#550	—	5	4	no	—
708	#550	—	5	2	no	—
709	#550	—	5	4	no	—
710	#550	—	5	8	no	—
711	#550	—	5	2	no	—
712	#550	—	5	4	no	—
713	#550	—	5	2	no	—
714	#550	C₂×D₅	1	2	yes	complemented
715	#546	—	5	4	no	—
716	#546	—	5	4	no	—
717	#546	—	5	4	no	—
718	#546	—	5	8	no	—
719	#546	—	5	4	no	—
720	#546	—	5	8	no	—
721	#546	—	5	4	no	—
722	#546	—	5	8	no	—
723	#546	—	5	4	no	—
724	#546	—	5	4	no	—
725	#546	—	5	8	no	—
726	#546	C₂×D₅	1	4	yes	complemented
727	D₄²	—	5	8	no	—
728	D₄²	—	5	4	no	—
729	D₄²	—	5	4	no	—
730	D₄²	—	5	4	no	—
731	D₄²	—	5	1	no	—
732	D₄²	—	5	4	no	—
733	D₄²	—	5	4	no	—
734	D₄²	—	5	4	no	—
735	D₄²	—	5	4	no	—
736	D₄²	—	5	8	no	—
737	D₄²	—	5	8	no	—
738	D₄²	—	5	8	no	—
739	D₄²	—	5	4	no	—
740	D₄²	—	5	4	no	—
741	D₄²	—	5	2	no	—
742	D₄²	—	5	4	no	—
743	D₄²	C₂×D₅	1	4	yes	complemented
744	D₄²	C₂×D₅	1	1	yes	characteristic, complemented
745	#540	—	5	4	no	—
746	#540	—	5	4	no	—
747	#540	—	5	8	no	—
748	#540	—	5	8	no	—
749	#540	—	5	8	no	—
750	#540	—	5	8	no	—
751	#540	—	5	4	no	—
752	#540	—	5	4	no	—
753	#540	—	5	4	no	—
754	#540	—	5	4	no	—
755	#540	—	5	4	no	—
756	#540	C₂×D₅	1	4	yes	complemented
757	#535	—	5	4	no	—
758	#535	—	5	4	no	—
759	#535	—	5	4	no	—
760	#535	—	5	4	no	—
761	#535	—	5	4	no	—
762	#535	—	5	4	no	—
763	#535	—	5	8	no	—
764	#535	—	5	8	no	—
765	#535	—	5	8	no	—
766	#535	—	5	8	no	—
767	#535	—	5	4	no	—
768	#535	C₂×D₅	1	4	yes	complemented
769	#534	—	5	4	no	—
770	#534	—	5	4	no	—
771	#534	—	5	4	no	—
772	#534	—	5	8	no	—
773	#534	—	5	4	no	—
774	#534	—	5	8	no	—
775	#534	—	5	8	no	—
776	#534	—	5	4	no	—
777	#534	—	5	8	no	—
778	#534	—	5	4	no	—
779	#534	—	5	4	no	—
780	#534	C₂×D₅	1	4	yes	complemented
781	C₂×#127	—	5	4	no	—
782	C₂×#127	—	5	2	no	—
783	C₂×#127	—	5	1	no	—
784	C₂×#127	—	5	1	no	—
785	C₂×#127	—	5	4	no	—
786	C₂×#127	—	5	1	no	—
787	C₂×#127	—	5	2	no	—
788	C₂×#127	—	5	2	no	—
789	C₂×#127	—	5	1	no	—
790	C₂×#127	—	5	4	no	—
791	C₂×#127	—	5	4	no	—
792	C₂×#127	—	5	1	no	—
793	C₂×#127	C₂×D₅	1	1	yes	characteristic, complemented
794	#529	—	5	4	no	—
795	#529	—	5	2	no	—
796	#529	—	5	2	no	—
797	#529	—	5	4	no	—
798	#529	—	5	2	no	—
799	#529	—	5	2	no	—
800	#529	—	5	2	no	—
801	#529	—	5	4	no	—
802	#529	—	5	2	no	—
803	#529	—	5	4	no	—
804	#529	—	5	2	no	—
805	#529	C₂×D₅	1	2	yes	complemented
806	C₂×#126	—	5	4	no	—
807	C₂×#125	—	5	2	no	—
808	C₂×#124	—	5	2	no	—
809	C₂×#124	—	5	4	no	—
810	C₂×#123	—	5	4	no	—
811	C₂×#123	—	5	4	no	—
812	C₂×#123	—	5	4	no	—
813	C₂×#123	—	5	8	no	—
814	C₂×C₂²⋊Q₈	—	5	2	no	—
815	C₂×#121	—	5	2	no	—
816	C₂×#121	—	5	8	no	—
817	C₂×#121	—	5	8	no	—
818	C₂×#121	—	5	8	no	—
819	C₂×#121	—	5	4	no	—
820	C₂×#121	—	5	4	no	—
821	C₂×#121	—	5	8	no	—
822	C₂×#120	—	5	4	no	—
823	C₂×#120	—	5	8	no	—
824	C₂×#120	—	5	4	no	—
825	C₂×#120	—	5	8	no	—
826	C₂×C₄×Q₈	—	5	2	no	—
827	C₂×C₄×D₄	—	5	4	no	—
828	C₂×C₄×D₄	—	5	2	no	—
829	C₂×C₄×D₄	—	5	4	no	—
830	C₂×C₄×D₄	—	5	4	no	—
831	C₂×#117	—	5	4	no	—
832	C₂²×C₂²⋊C₄	—	5	4	no	—
833	C₂²×C₄²	—	5	1	no	—
834	C₂³×C₅	—	2	8	no	—
835	C₂³×C₅	—	4	8	no	—
836	C₂³×C₅	—	4	8	no	—
837	C₂³×C₅	—	4	4	no	—
838	C₂³×C₅	C₂⁵	1	4	yes	—
839	C₂³×C₅	C₂⁵	1	4	yes	—
840	C₂³×C₅	C₂⁵	1	4	yes	—
841	C₂³×C₅	C₂⁵	1	1	yes	characteristic
842	C₂²×D₅	—	2	4	no	—
843	C₂²×D₅	—	2	8	no	—
844	C₂²×D₅	—	2	8	no	—
845	C₂²×D₅	—	2	16	no	—
846	C₂²×D₅	—	2	8	no	—
847	C₂²×D₅	—	2	8	no	—
848	C₂²×D₅	—	2	8	no	—
849	C₂²×D₅	—	2	16	no	—
850	C₂²×D₅	—	2	8	no	—
851	C₂²×D₅	—	2	8	no	—
852	C₂²×D₅	—	2	8	no	—
853	C₂²×D₅	—	4	8	no	—
854	C₂²×D₅	—	4	8	no	—
855	C₂²×D₅	—	4	4	no	—
856	C₂²×D₅	—	4	8	no	—
857	C₂²×D₅	—	4	8	no	—
858	C₂²×D₅	—	4	8	no	—
859	C₂²×D₅	—	4	8	no	—
860	C₂²×D₅	—	4	8	no	—
861	C₂²×D₅	—	8	32	no	—
862	C₂²×D₅	—	8	32	no	—
863	C₂²×D₅	H(5,𝔽₂)	1	4	yes	—
864	C₂²×D₅	C₂⁵	1	4	yes	—
865	C₂²×D₅	C₂⁵	1	4	yes	—
866	C₂²×D₅	C₂⁵	1	4	yes	—
867	C₂²×D₅	C₂⁵	1	1	yes	characteristic
868	C₂²×D₅	C₂⁵	1	1	yes	characteristic
869	C₅×Q₈	—	2	4	no	—
870	C₅×D₄	—	2	8	no	—
871	C₅×D₄	—	2	4	no	—
872	C₅×D₄	—	2	8	no	—
873	C₅×D₄	—	2	8	no	—
874	C₅×D₄	—	4	8	no	—
875	C₅×D₄	—	4	8	no	—
876	C₅×D₄	—	4	2	no	—
877	C₅×D₄	—	4	4	no	—
878	C₅×D₄	—	4	2	no	—
879	C₅×D₄	—	4	8	no	—
880	C₅×D₄	—	4	8	no	—
881	C₂×C₄×C₅	—	2	2	no	—
882	C₂×C₄×C₅	—	2	4	no	—
883	C₂×C₄×C₅	—	2	8	no	—
884	C₂×C₄×C₅	—	4	4	no	—
885	C₂×C₄×C₅	—	4	8	no	—
886	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
887	C₂×C₄×C₅	C₂⁵	1	2	yes	—
888	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
889	C₂×C₄×C₅	C₂⁵	1	4	yes	—
890	C₂×C₄×C₅	C₂⁵	1	4	yes	—
891	C₂×C₄×C₅	C₂⁵	1	4	yes	—
892	C₂×C₄×C₅	C₂⁵	1	2	yes	—
893	C₂²⋊D₅	—	2	8	no	—
894	C₂²⋊D₅	—	2	8	no	—
895	C₂²⋊D₅	—	2	16	no	—
896	C₂²⋊D₅	—	2	8	no	—
897	C₂²⋊D₅	—	2	16	no	—
898	C₂²⋊D₅	—	4	8	no	—
899	C₂²⋊D₅	—	4	8	no	—
900	C₂²⋊D₅	—	4	8	no	—
901	C₂²⋊D₅	—	4	8	no	—
902	C₂²⋊D₅	—	4	8	no	—
903	C₂²⋊D₅	—	4	4	no	—
904	C₂²⋊D₅	—	4	4	no	—
905	C₂²⋊D₅	—	4	8	no	—
906	C₂²⋊D₅	—	4	4	no	—
907	C₂²⋊D₅	—	4	4	no	—
908	C₂²⋊D₅	—	4	8	no	—
909	C₂²⋊D₅	—	4	8	no	—
910	C₂×Dic₅	—	2	2	no	—
911	C₂×Dic₅	—	2	8	no	—
912	C₂×Dic₅	—	2	4	no	—
913	C₂×Dic₅	—	4	8	no	—
914	C₂×Dic₅	—	4	4	no	—
915	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
916	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
917	C₂×Dic₅	C₂⁵	1	2	yes	—
918	C₂×Dic₅	C₂⁵	1	4	yes	—
919	C₂×Dic₅	C₂⁵	1	4	yes	—
920	C₂×Dic₅	C₂⁵	1	4	yes	—
921	C₂×Dic₅	C₂⁵	1	2	yes	—
922	D₂₀	—	2	8	no	—
923	D₂₀	—	2	8	no	—
924	D₂₀	—	2	4	no	—
925	D₂₀	—	2	8	no	—
926	D₂₀	—	4	8	no	—
927	D₂₀	—	4	8	no	—
928	D₂₀	—	4	2	no	—
929	D₂₀	—	4	4	no	—
930	D₂₀	—	4	2	no	—
931	D₂₀	—	4	8	no	—
932	D₂₀	—	4	8	no	—
933	C₄×D₅	—	2	8	no	—
934	C₄×D₅	—	2	2	no	—
935	C₄×D₅	—	2	2	no	—
936	C₄×D₅	—	2	2	no	—
937	C₄×D₅	—	2	2	no	—
938	C₄×D₅	—	2	4	no	—
939	C₄×D₅	—	2	8	no	—
940	C₄×D₅	—	2	8	no	—
941	C₄×D₅	—	2	4	no	—
942	C₄×D₅	—	2	8	no	—
943	C₄×D₅	—	2	8	no	—
944	C₄×D₅	—	2	4	no	—
945	C₄×D₅	—	4	8	no	—
946	C₄×D₅	—	4	8	no	—
947	C₄×D₅	—	4	8	no	—
948	C₄×D₅	H(5,𝔽₂)	1	8	yes	—
949	Dic₁₀	—	2	4	no	—
950	Dic₁₀	—	2	8	no	—
951	C₂⁵	—	5	4	no	—
952	C₂⁵	—	5	4	no	—
953	C₂×#41	—	5	4	no	—
954	C₂×#41	—	5	8	no	—
955	C₂×#41	—	5	4	no	—
956	C₂×#41	—	5	8	no	—
957	C₂×#41	—	5	4	no	—
958	C₂×#41	—	20	16	no	—
959	C₂×#41	C₂²×D₅	1	4	yes	complemented
960	C₂²×Q₈	—	5	2	no	—
961	C₂²×D₄	—	5	4	no	—
962	C₂²×D₄	—	5	8	no	—
963	C₂²×D₄	—	5	4	no	—
964	C₂²×D₄	—	5	4	no	—
965	C₂²×D₄	—	5	8	no	—
966	C₂²×D₄	—	5	4	no	—
967	C₂²×D₄	—	5	2	no	—
968	C₂²×D₄	—	5	4	no	—
969	C₂²×D₄	—	5	4	no	—
970	C₂²×D₄	—	5	8	no	—
971	C₂²×D₄	—	5	8	no	—
972	C₂²×D₄	—	5	2	no	—
973	C₂²×D₄	—	5	8	no	—
974	C₂²×D₄	—	5	4	no	—
975	C₂²×D₄	—	5	8	no	—
976	C₂²×D₄	—	5	2	no	—
977	C₂²×D₄	—	5	4	no	—
978	C₂²×D₄	—	5	2	no	—
979	C₂²×D₄	—	5	2	no	—
980	C₂²×D₄	—	5	8	no	—
981	C₂²×D₄	—	5	4	no	—
982	C₂²×D₄	—	5	4	no	—
983	C₂²×D₄	—	5	8	no	—
984	C₂²×D₄	—	5	8	no	—
985	C₂²×D₄	—	5	8	no	—
986	C₂²×D₄	—	5	4	no	—
987	C₂²×D₄	—	5	4	no	—
988	C₂²×D₄	—	5	2	no	—
989	C₂²×D₄	—	5	4	no	—
990	C₂²×D₄	—	5	4	no	—
991	C₂²×D₄	—	5	4	no	—
992	C₂²×D₄	—	20	16	no	—
993	C₂²×D₄	—	20	16	no	—
994	C₂²×D₄	—	20	8	no	—
995	C₂²×D₄	—	20	16	no	—
996	C₂²×D₄	C₂²×D₅	1	2	yes	complemented
997	C₂²×D₄	C₂²×D₅	1	4	yes	complemented
998	C₂²×D₄	C₂²×D₅	1	4	yes	complemented
999	C₂²×D₄	C₂²×D₅	1	4	yes	complemented
1000	C₂³×C₄	—	5	4	no	—
1001	C₂³×C₄	—	5	2	no	—
1002	C₂³×C₄	—	5	1	no	—
1003	C₂³×C₄	—	5	8	no	—
1004	C₂³×C₄	—	5	4	no	—
1005	#127	—	5	8	no	—
1006	#127	—	5	8	no	—
1007	#127	—	5	4	no	—
1008	#127	—	5	4	no	—
1009	#127	—	5	2	no	—
1010	#127	—	5	4	no	—
1011	#127	—	5	2	no	—
1012	#127	—	5	4	no	—
1013	#127	—	5	8	no	—
1014	#127	—	5	2	no	—
1015	#127	—	5	2	no	—
1016	#127	—	5	8	no	—
1017	#127	—	5	8	no	—
1018	#127	—	5	4	no	—
1019	#127	—	5	4	no	—
1020	#127	—	5	4	no	—
1021	#127	—	5	1	no	—
1022	#127	—	5	1	no	—
1023	#127	—	5	2	no	—
1024	#127	—	5	4	no	—
1025	#127	C₂²×D₅	1	1	yes	characteristic
1026	#127	C₂²×D₅	1	4	yes	complemented
1027	#127	C₂²×D₅	1	1	yes	characteristic, complemented
1028	#127	C₂²×D₅	1	2	yes	complemented
1029	#127	C₂²×D₅	1	4	yes	complemented
1030	#126	—	5	4	no	—
1031	#126	—	5	4	no	—
1032	#126	—	5	4	no	—
1033	#126	—	5	4	no	—
1034	#126	—	5	4	no	—
1035	#126	—	5	4	no	—
1036	#126	—	5	4	no	—
1037	#126	C₂²×D₅	1	4	yes	complemented
1038	#125	—	5	4	no	—
1039	#125	—	5	4	no	—
1040	#125	—	5	2	no	—
1041	#125	—	5	2	no	—
1042	#125	—	5	2	no	—
1043	#125	C₂²×D₅	1	2	yes	complemented
1044	#124	—	5	2	no	—
1045	#124	—	5	4	no	—
1046	#124	—	5	2	no	—
1047	#124	—	5	4	no	—
1048	#124	—	5	4	no	—
1049	#124	—	5	4	no	—
1050	#124	—	5	8	no	—
1051	#124	—	5	8	no	—
1052	#124	—	5	2	no	—
1053	#124	—	5	4	no	—
1054	#124	C₂²×D₅	1	2	yes	complemented
1055	#124	C₂²×D₅	1	4	yes	complemented
1056	#123	—	5	4	no	—
1057	#123	—	5	4	no	—
1058	#123	—	5	4	no	—
1059	#123	—	5	8	no	—
1060	#123	—	5	4	no	—
1061	#123	—	5	4	no	—
1062	#123	—	5	4	no	—
1063	#123	—	5	8	no	—
1064	#123	—	5	4	no	—
1065	#123	—	5	4	no	—
1066	#123	—	5	8	no	—
1067	#123	—	5	8	no	—
1068	#123	—	5	8	no	—
1069	#123	—	5	8	no	—
1070	#123	—	5	4	no	—
1071	#123	—	5	4	no	—
1072	#123	—	5	4	no	—
1073	#123	—	5	8	no	—
1074	#123	—	5	4	no	—
1075	#123	—	5	8	no	—
1076	#123	—	5	4	no	—
1077	#123	—	5	8	no	—
1078	#123	—	5	8	no	—
1079	#123	—	5	8	no	—
1080	#123	C₂²×D₅	1	4	yes	complemented
1081	#123	C₂²×D₅	1	4	yes	complemented
1082	#123	C₂²×D₅	1	4	yes	complemented
1083	#123	C₂²×D₅	1	8	yes	complemented
1084	C₂²⋊Q₈	—	5	2	no	—
1085	C₂²⋊Q₈	—	5	2	no	—
1086	C₂²⋊Q₈	—	5	4	no	—
1087	C₂²⋊Q₈	—	5	2	no	—
1088	C₂²⋊Q₈	—	5	4	no	—
1089	C₂²⋊Q₈	C₂²×D₅	1	2	yes	complemented
1090	#121	—	5	2	no	—
1091	#121	—	5	4	no	—
1092	#121	—	5	8	no	—
1093	#121	—	5	8	no	—
1094	#121	—	5	8	no	—
1095	#121	—	5	8	no	—
1096	#121	—	5	8	no	—
1097	#121	—	5	8	no	—
1098	#121	—	5	8	no	—
1099	#121	—	5	8	no	—
1100	#121	—	5	8	no	—
1101	#121	—	5	4	no	—
1102	#121	—	5	8	no	—
1103	#121	—	5	4	no	—
1104	#121	—	5	8	no	—
1105	#121	—	5	8	no	—
1106	#121	—	5	8	no	—
1107	#121	—	5	8	no	—
1108	#121	—	5	2	no	—
1109	#121	—	5	8	no	—
1110	#121	—	5	8	no	—
1111	#121	—	5	8	no	—
1112	#121	—	5	4	no	—
1113	#121	—	5	4	no	—
1114	#121	—	5	8	no	—
1115	#121	—	5	2	no	—
1116	#121	—	5	8	no	—
1117	#121	—	5	8	no	—
1118	#121	—	5	8	no	—
1119	#121	—	5	4	no	—
1120	#121	—	5	4	no	—
1121	#121	—	5	8	no	—
1122	#121	—	5	4	no	—
1123	#121	—	5	8	no	—
1124	#121	—	5	8	no	—
1125	#121	—	5	8	no	—
1126	#121	—	5	8	no	—
1127	#121	—	5	8	no	—
1128	#121	—	5	8	no	—
1129	#121	—	5	8	no	—
1130	#121	—	5	8	no	—
1131	#121	—	5	8	no	—
1132	#121	—	5	8	no	—
1133	#121	C₂²×D₅	1	2	yes	—
1134	#121	C₂²×D₅	1	8	yes	complemented
1135	#121	C₂²×D₅	1	8	yes	complemented
1136	#121	C₂²×D₅	1	8	yes	complemented
1137	#121	C₂²×D₅	1	4	yes	complemented
1138	#121	C₂²×D₅	1	4	yes	complemented
1139	#121	C₂²×D₅	1	8	yes	complemented
1140	#120	—	5	4	no	—
1141	#120	—	5	8	no	—
1142	#120	—	5	4	no	—
1143	#120	—	5	8	no	—
1144	#120	—	5	4	no	—
1145	#120	—	5	8	no	—
1146	#120	—	5	8	no	—
1147	#120	—	5	8	no	—
1148	#120	—	5	8	no	—
1149	#120	—	5	4	no	—
1150	#120	—	5	8	no	—
1151	#120	—	5	8	no	—
1152	#120	—	5	8	no	—
1153	#120	—	5	8	no	—
1154	#120	—	5	8	no	—
1155	#120	—	5	4	no	—
1156	#120	—	5	8	no	—
1157	#120	—	5	8	no	—
1158	#120	—	5	8	no	—
1159	#120	—	5	8	no	—
1160	#120	—	5	4	no	—
1161	#120	—	5	8	no	—
1162	#120	—	5	8	no	—
1163	#120	—	5	8	no	—
1164	#120	C₂²×D₅	1	4	yes	complemented
1165	#120	C₂²×D₅	1	8	yes	complemented
1166	#120	C₂²×D₅	1	4	yes	complemented
1167	#120	C₂²×D₅	1	8	yes	complemented
1168	C₄×Q₈	—	5	2	no	—
1169	C₄×Q₈	—	5	4	no	—
1170	C₄×Q₈	—	5	2	no	—
1171	C₄×Q₈	—	5	4	no	—
1172	C₄×Q₈	—	5	2	no	—
1173	C₄×Q₈	C₂²×D₅	1	2	yes	complemented
1174	C₄×D₄	—	5	4	no	—
1175	C₄×D₄	—	5	2	no	—
1176	C₄×D₄	—	5	4	no	—
1177	C₄×D₄	—	5	4	no	—
1178	C₄×D₄	—	5	4	no	—
1179	C₄×D₄	—	5	4	no	—
1180	C₄×D₄	—	5	4	no	—
1181	C₄×D₄	—	5	8	no	—
1182	C₄×D₄	—	5	8	no	—
1183	C₄×D₄	—	5	4	no	—
1184	C₄×D₄	—	5	2	no	—
1185	C₄×D₄	—	5	4	no	—
1186	C₄×D₄	—	5	4	no	—
1187	C₄×D₄	—	5	4	no	—
1188	C₄×D₄	—	5	4	no	—
1189	C₄×D₄	—	5	4	no	—
1190	C₄×D₄	—	5	8	no	—
1191	C₄×D₄	—	5	8	no	—
1192	C₄×D₄	—	5	4	no	—
1193	C₄×D₄	—	5	2	no	—
1194	C₄×D₄	—	5	4	no	—
1195	C₄×D₄	—	5	4	no	—
1196	C₄×D₄	C₂²×D₅	1	4	yes	complemented
1197	C₄×D₄	C₂²×D₅	1	2	yes	complemented
1198	C₄×D₄	C₂²×D₅	1	4	yes	complemented
1199	C₄×D₄	C₂²×D₅	1	4	yes	complemented
1200	#117	—	5	4	no	—
1201	#117	—	5	4	no	—
1202	#117	—	5	4	no	—
1203	#117	—	5	4	no	—
1204	#117	—	5	4	no	—
1205	#117	—	5	4	no	—
1206	#117	—	5	4	no	—
1207	#117	C₂²×D₅	1	4	yes	complemented
1208	C₂×C₄⋊C₄	—	5	4	no	—
1209	C₂×C₄⋊C₄	—	5	4	no	—
1210	C₂×C₄⋊C₄	—	5	2	no	—
1211	C₂×C₄⋊C₄	—	5	2	no	—
1212	C₂×C₄⋊C₄	—	5	4	no	—
1213	C₂×C₄⋊C₄	—	5	4	no	—
1214	C₂×C₂²⋊C₄	—	5	4	no	—
1215	C₂×C₂²⋊C₄	—	5	8	no	—
1216	C₂×C₂²⋊C₄	—	5	4	no	—
1217	C₂×C₂²⋊C₄	—	5	4	no	—
1218	C₂×C₂²⋊C₄	—	5	4	no	—
1219	C₂×C₂²⋊C₄	—	5	8	no	—
1220	C₂×C₂²⋊C₄	—	5	4	no	—
1221	C₂×C₂²⋊C₄	—	5	4	no	—
1222	C₂×C₂²⋊C₄	—	5	4	no	—
1223	C₂×C₂²⋊C₄	—	5	4	no	—
1224	C₂×C₂²⋊C₄	—	5	4	no	—
1225	C₂×C₂²⋊C₄	—	5	4	no	—
1226	C₂×C₂²⋊C₄	—	5	8	no	—
1227	C₂×C₂²⋊C₄	—	5	8	no	—
1228	C₂×C₂²⋊C₄	C₂²×D₅	1	4	yes	complemented
1229	C₂×C₄²	—	5	1	no	—
1230	C₂×C₄²	—	5	2	no	—
1231	C₂×C₄²	—	5	2	no	—
1232	C₂×C₄²	—	5	4	no	—
1233	C₂×C₄²	—	5	1	no	—
1234	C₂×C₄²	—	5	1	no	—
1235	C₂×C₄²	—	5	1	no	—
1236	C₂×C₄²	—	5	1	no	—
1237	C₂×C₄²	—	5	2	no	—
1238	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic, complemented
1239	C₂²×C₅	—	2	2	no	—
1240	C₂²×C₅	—	2	4	no	—
1241	C₂²×C₅	—	2	8	no	—
1242	C₂²×C₅	—	2	4	no	—
1243	C₂²×C₅	—	2	4	no	—
1244	C₂²×C₅	—	2	8	no	—
1245	C₂²×C₅	—	2	4	no	—
1246	C₂²×C₅	—	2	4	no	—
1247	C₂²×C₅	—	8	8	no	—
1248	C₂²×C₅	—	8	8	no	—
1249	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1250	C₂²×C₅	C₂⁶	1	1	yes	characteristic
1251	C₂×D₅	—	2	2	no	—
1252	C₂×D₅	—	2	8	no	—
1253	C₂×D₅	—	2	4	no	—
1254	C₂×D₅	—	2	8	no	—
1255	C₂×D₅	—	2	4	no	—
1256	C₂×D₅	—	2	4	no	—
1257	C₂×D₅	—	2	4	no	—
1258	C₂×D₅	—	2	8	no	—
1259	C₂×D₅	—	2	4	no	—
1260	C₂×D₅	—	4	16	no	—
1261	C₂×D₅	—	4	16	no	—
1262	C₂×D₅	—	4	16	no	—
1263	C₂×D₅	—	8	8	no	—
1264	C₂×D₅	—	8	8	no	—
1265	C₂×D₅	—	8	8	no	—
1266	C₂×D₅	—	8	8	no	—
1267	C₂×D₅	—	8	16	no	—
1268	C₂×D₅	C₂×H(5,𝔽₂)	1	2	yes	—
1269	C₂×D₅	C₂×H(5,𝔽₂)	1	2	yes	—
1270	C₂×D₅	C₂×H(5,𝔽₂)	1	4	yes	—
1271	C₄×C₅	—	2	4	no	—
1272	C₄×C₅	—	2	4	no	—
1273	C₄×C₅	—	2	1	no	—
1274	C₄×C₅	—	2	1	no	—
1275	C₄×C₅	—	2	2	no	—
1276	C₄×C₅	—	2	4	no	—
1277	C₄×C₅	C₂×H(5,𝔽₂)	1	4	yes	—
1278	Dic₅	—	2	4	no	—
1279	Dic₅	—	2	4	no	—
1280	Dic₅	—	2	1	no	—
1281	Dic₅	—	2	1	no	—
1282	Dic₅	—	2	2	no	—
1283	Dic₅	—	2	4	no	—
1284	Dic₅	C₂×H(5,𝔽₂)	1	4	yes	—
1285	C₂⁴	—	5	1	no	—
1286	C₂⁴	—	5	4	no	—
1287	C₂⁴	—	5	4	no	—
1288	C₂⁴	—	5	4	no	—
1289	C₂⁴	—	5	4	no	—
1290	C₂⁴	—	5	4	no	—
1291	C₂⁴	—	5	4	no	—
1292	C₂⁴	—	5	4	no	—
1293	C₂⁴	—	5	8	no	—
1294	C₂⁴	—	10	16	no	—
1295	C₂⁴	—	20	16	no	—
1296	C₂⁴	—	20	16	no	—
1297	C₂⁴	—	20	8	no	—
1298	C₂⁴	C₂³×D₅	1	4	yes	—
1299	C₂⁴	C₂³×D₅	1	4	yes	—
1300	#41	—	4	8	no	—
1301	#41	—	20	8	no	—
1302	#41	—	20	16	no	—
1303	#41	—	20	8	no	—
1304	#41	—	20	16	no	—
1305	#41	—	20	8	no	—
1306	C₂×Q₈	—	5	4	no	—
1307	C₂×Q₈	—	5	2	no	—
1308	C₂×Q₈	—	10	8	no	—
1309	C₂×Q₈	C₂³×D₅	1	2	yes	—
1310	C₂×D₄	—	4	8	no	—
1311	C₂×D₄	—	4	8	no	—
1312	C₂×D₄	—	4	4	no	—
1313	C₂×D₄	—	4	8	no	—
1314	C₂×D₄	—	5	4	no	—
1315	C₂×D₄	—	5	4	no	—
1316	C₂×D₄	—	5	4	no	—
1317	C₂×D₄	—	5	8	no	—
1318	C₂×D₄	—	5	8	no	—
1319	C₂×D₄	—	5	8	no	—
1320	C₂×D₄	—	5	8	no	—
1321	C₂×D₄	—	5	8	no	—
1322	C₂×D₄	—	5	8	no	—
1323	C₂×D₄	—	5	4	no	—
1324	C₂×D₄	—	5	8	no	—
1325	C₂×D₄	—	5	8	no	—
1326	C₂×D₄	—	5	4	no	—
1327	C₂×D₄	—	5	8	no	—
1328	C₂×D₄	—	5	4	no	—
1329	C₂×D₄	—	5	8	no	—
1330	C₂×D₄	—	5	4	no	—
1331	C₂×D₄	—	5	4	no	—
1332	C₂×D₄	—	5	2	no	—
1333	C₂×D₄	—	5	4	no	—
1334	C₂×D₄	—	5	4	no	—
1335	C₂×D₄	—	5	8	no	—
1336	C₂×D₄	—	5	8	no	—
1337	C₂×D₄	—	5	2	no	—
1338	C₂×D₄	—	5	8	no	—
1339	C₂×D₄	—	5	4	no	—
1340	C₂×D₄	—	5	8	no	—
1341	C₂×D₄	—	5	2	no	—
1342	C₂×D₄	—	10	8	no	—
1343	C₂×D₄	—	10	16	no	—
1344	C₂×D₄	—	10	16	no	—
1345	C₂×D₄	—	10	16	no	—
1346	C₂×D₄	—	20	8	no	—
1347	C₂×D₄	—	20	8	no	—
1348	C₂×D₄	—	20	4	no	—
1349	C₂×D₄	—	20	8	no	—
1350	C₂×D₄	—	20	8	no	—
1351	C₂×D₄	—	20	8	no	—
1352	C₂×D₄	—	20	8	no	—
1353	C₂×D₄	—	20	8	no	—
1354	C₂×D₄	—	20	16	no	—
1355	C₂×D₄	—	20	16	no	—
1356	C₂×D₄	—	20	16	no	—
1357	C₂×D₄	—	20	16	no	—
1358	C₂×D₄	—	20	4	no	—
1359	C₂×D₄	—	20	8	no	—
1360	C₂×D₄	—	20	4	no	—
1361	C₂×D₄	—	20	4	no	—
1362	C₂×D₄	—	20	8	no	—
1363	C₂×D₄	—	20	4	no	—
1364	C₂×D₄	—	20	16	no	—
1365	C₂×D₄	—	20	16	no	—
1366	C₂×D₄	—	20	16	no	—
1367	C₂×D₄	—	20	16	no	—
1368	C₂×D₄	—	20	8	no	—
1369	C₂×D₄	—	20	16	no	—
1370	C₂×D₄	—	20	16	no	—
1371	C₂×D₄	—	20	8	no	—
1372	C₂×D₄	—	20	8	no	—
1373	C₂×D₄	C₂³×D₅	1	4	yes	—
1374	C₂×D₄	C₂³×D₅	1	2	yes	—
1375	C₂×D₄	C₂³×D₅	1	4	yes	—
1376	C₂×D₄	C₂³×D₅	1	4	yes	—
1377	C₂×D₄	C₂³×D₅	1	8	yes	—
1378	C₂×D₄	C₂³×D₅	1	8	yes	—
1379	C₂×D₄	C₂³×D₅	1	2	yes	—
1380	C₂×D₄	C₂³×D₅	1	8	yes	—
1381	C₂×D₄	C₂³×D₅	1	4	yes	—
1382	C₂×D₄	C₂³×D₅	1	8	yes	—
1383	C₂×D₄	C₂³×D₅	1	2	yes	—
1384	C₂²×C₄	—	5	2	no	—
1385	C₂²×C₄	—	5	2	no	—
1386	C₂²×C₄	—	5	1	no	—
1387	C₂²×C₄	—	5	4	no	—
1388	C₂²×C₄	—	5	8	no	—
1389	C₂²×C₄	—	5	4	no	—
1390	C₂²×C₄	—	5	1	no	—
1391	C₂²×C₄	—	5	2	no	—
1392	C₂²×C₄	—	5	1	no	—
1393	C₂²×C₄	—	5	2	no	—
1394	C₂²×C₄	—	5	2	no	—
1395	C₂²×C₄	—	5	1	no	—
1396	C₂²×C₄	—	5	1	no	—
1397	C₂²×C₄	—	5	4	no	—
1398	C₂²×C₄	—	5	4	no	—
1399	C₂²×C₄	—	5	4	no	—
1400	C₂²×C₄	—	5	4	no	—
1401	C₂²×C₄	—	5	4	no	—
1402	C₂²×C₄	—	5	8	no	—
1403	C₂²×C₄	—	5	8	no	—
1404	C₂²×C₄	—	5	8	no	—
1405	C₂²×C₄	—	10	8	no	—
1406	C₂²×C₄	—	10	16	no	—
1407	C₂²×C₄	—	10	4	no	—
1408	C₂²×C₄	—	20	8	no	—
1409	C₂²×C₄	—	20	16	no	—
1410	C₂²×C₄	C₂³×D₅	1	2	yes	—
1411	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1412	C₂²×C₄	C₂³×D₅	1	4	yes	—
1413	C₂²×C₄	C₂³×D₅	1	8	yes	—
1414	C₂²×C₄	C₂³×D₅	1	4	yes	—
1415	C₄⋊C₄	—	5	4	no	—
1416	C₄⋊C₄	—	5	4	no	—
1417	C₄⋊C₄	—	5	4	no	—
1418	C₄⋊C₄	—	5	4	no	—
1419	C₄⋊C₄	—	5	4	no	—
1420	C₄⋊C₄	—	5	4	no	—
1421	C₄⋊C₄	—	5	4	no	—
1422	C₄⋊C₄	—	5	2	no	—
1423	C₄⋊C₄	—	5	4	no	—
1424	C₄⋊C₄	—	5	2	no	—
1425	C₄⋊C₄	—	5	4	no	—
1426	C₄⋊C₄	—	5	4	no	—
1427	C₄⋊C₄	—	5	4	no	—
1428	C₄⋊C₄	—	5	4	no	—
1429	C₄⋊C₄	—	5	4	no	—
1430	C₄⋊C₄	—	5	4	no	—
1431	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1432	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1433	C₄⋊C₄	C₂³×D₅	1	2	yes	—
1434	C₄⋊C₄	C₂³×D₅	1	2	yes	—
1435	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1436	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1437	C₂²⋊C₄	—	5	4	no	—
1438	C₂²⋊C₄	—	5	4	no	—
1439	C₂²⋊C₄	—	5	4	no	—
1440	C₂²⋊C₄	—	5	4	no	—
1441	C₂²⋊C₄	—	5	4	no	—
1442	C₂²⋊C₄	—	5	4	no	—
1443	C₂²⋊C₄	—	5	4	no	—
1444	C₂²⋊C₄	—	5	8	no	—
1445	C₂²⋊C₄	—	5	8	no	—
1446	C₂²⋊C₄	—	5	4	no	—
1447	C₂²⋊C₄	—	5	4	no	—
1448	C₂²⋊C₄	—	5	8	no	—
1449	C₂²⋊C₄	—	5	8	no	—
1450	C₂²⋊C₄	—	5	4	no	—
1451	C₂²⋊C₄	—	5	4	no	—
1452	C₂²⋊C₄	—	5	4	no	—
1453	C₂²⋊C₄	—	5	4	no	—
1454	C₂²⋊C₄	—	5	4	no	—
1455	C₂²⋊C₄	—	5	4	no	—
1456	C₂²⋊C₄	—	5	4	no	—
1457	C₂²⋊C₄	—	5	4	no	—
1458	C₂²⋊C₄	—	5	8	no	—
1459	C₂²⋊C₄	—	5	8	no	—
1460	C₂²⋊C₄	—	5	8	no	—
1461	C₂²⋊C₄	—	5	8	no	—
1462	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1463	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1464	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1465	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1466	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1467	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1468	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1469	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1470	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1471	C₄²	—	5	2	no	—
1472	C₄²	—	5	2	no	—
1473	C₄²	—	5	2	no	—
1474	C₄²	—	5	1	no	—
1475	C₄²	—	5	2	no	—
1476	C₄²	—	5	1	no	—
1477	C₄²	—	5	2	no	—
1478	C₄²	—	5	4	no	—
1479	C₄²	—	5	4	no	—
1480	C₄²	—	5	4	no	—
1481	C₄²	C₂³×D₅	1	2	yes	—
1482	C₄²	C₂³×D₅	1	1	yes	characteristic
1483	C₄²	C₂³×D₅	1	1	yes	characteristic
1484	C₄²	C₂³×D₅	1	4	yes	—
1485	C₂×C₅	—	2	2	no	—
1486	C₂×C₅	—	4	4	no	—
1487	C₂×C₅	—	4	4	no	—
1488	C₂×C₅	—	4	4	no	—
1489	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1490	C₂×C₅	C₂²×H(5,𝔽₂)	1	2	yes	—
1491	D₅	—	2	2	no	—
1492	D₅	—	4	4	no	—
1493	D₅	—	4	4	no	—
1494	D₅	—	4	4	no	—
1495	D₅	#3543	1	4	yes	direct product factor
1496	C₂³	—	2	8	no	—
1497	C₂³	—	4	8	no	—
1498	C₂³	—	4	8	no	—
1499	C₂³	—	4	4	no	—
1500	C₂³	—	5	1	no	—
1501	C₂³	—	5	4	no	—
1502	C₂³	—	5	1	no	—
1503	C₂³	—	5	4	no	—
1504	C₂³	—	5	4	no	—
1505	C₂³	—	5	4	no	—
1506	C₂³	—	10	4	no	—
1507	C₂³	—	10	8	no	—
1508	C₂³	—	10	16	no	—
1509	C₂³	—	10	8	no	—
1510	C₂³	—	10	8	no	—
1511	C₂³	—	10	16	no	—
1512	C₂³	—	10	8	no	—
1513	C₂³	—	10	8	no	—
1514	C₂³	—	10	8	no	—
1515	C₂³	—	10	8	no	—
1516	C₂³	—	10	8	no	—
1517	C₂³	—	20	8	no	—
1518	C₂³	—	20	8	no	—
1519	C₂³	—	20	8	no	—
1520	C₂³	—	20	4	no	—
1521	C₂³	—	20	8	no	—
1522	C₂³	—	20	8	no	—
1523	C₂³	—	20	8	no	—
1524	C₂³	—	20	8	no	—
1525	C₂³	—	40	32	no	—
1526	C₂³	—	40	32	no	—
1527	C₂³	C₂⁴×D₅	1	4	yes	—
1528	C₂³	C₂⁴×D₅	1	4	yes	—
1529	C₂³	C₂⁴×D₅	1	4	yes	—
1530	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1531	Q₈	—	2	4	no	—
1532	Q₈	—	10	8	no	—
1533	Q₈	—	10	4	no	—
1534	D₄	—	2	8	no	—
1535	D₄	—	2	4	no	—
1536	D₄	—	2	8	no	—
1537	D₄	—	2	8	no	—
1538	D₄	—	4	8	no	—
1539	D₄	—	4	8	no	—
1540	D₄	—	4	2	no	—
1541	D₄	—	4	4	no	—
1542	D₄	—	4	2	no	—
1543	D₄	—	4	8	no	—
1544	D₄	—	4	8	no	—
1545	D₄	—	10	8	no	—
1546	D₄	—	10	8	no	—
1547	D₄	—	10	16	no	—
1548	D₄	—	10	16	no	—
1549	D₄	—	10	8	no	—
1550	D₄	—	10	8	no	—
1551	D₄	—	10	4	no	—
1552	D₄	—	10	8	no	—
1553	D₄	—	10	8	no	—
1554	D₄	—	20	8	no	—
1555	D₄	—	20	8	no	—
1556	D₄	—	20	2	no	—
1557	D₄	—	20	4	no	—
1558	D₄	—	20	2	no	—
1559	D₄	—	20	8	no	—
1560	D₄	—	20	8	no	—
1561	D₄	—	20	8	no	—
1562	D₄	—	20	8	no	—
1563	D₄	—	20	8	no	—
1564	D₄	—	20	4	no	—
1565	D₄	—	20	4	no	—
1566	D₄	—	20	8	no	—
1567	D₄	—	20	4	no	—
1568	D₄	—	20	4	no	—
1569	D₄	—	20	8	no	—
1570	D₄	—	20	8	no	—
1571	D₄	—	20	8	no	—
1572	D₄	—	20	8	no	—
1573	C₂×C₄	—	2	2	no	—
1574	C₂×C₄	—	2	4	no	—
1575	C₂×C₄	—	2	8	no	—
1576	C₂×C₄	—	4	4	no	—
1577	C₂×C₄	—	4	8	no	—
1578	C₂×C₄	—	5	2	no	—
1579	C₂×C₄	—	5	8	no	—
1580	C₂×C₄	—	5	1	no	—
1581	C₂×C₄	—	5	2	no	—
1582	C₂×C₄	—	5	1	no	—
1583	C₂×C₄	—	5	4	no	—
1584	C₂×C₄	—	5	4	no	—
1585	C₂×C₄	—	5	4	no	—
1586	C₂×C₄	—	10	4	no	—
1587	C₂×C₄	—	10	8	no	—
1588	C₂×C₄	—	10	8	no	—
1589	C₂×C₄	—	10	4	no	—
1590	C₂×C₄	—	10	2	no	—
1591	C₂×C₄	—	10	2	no	—
1592	C₂×C₄	—	10	2	no	—
1593	C₂×C₄	—	10	2	no	—
1594	C₂×C₄	—	10	8	no	—
1595	C₂×C₄	—	10	8	no	—
1596	C₂×C₄	—	10	4	no	—
1597	C₂×C₄	—	10	8	no	—
1598	C₂×C₄	—	10	2	no	—
1599	C₂×C₄	—	10	4	no	—
1600	C₂×C₄	—	10	8	no	—
1601	C₂×C₄	—	20	8	no	—
1602	C₂×C₄	—	20	8	no	—
1603	C₂×C₄	—	20	8	no	—
1604	C₂×C₄	—	20	4	no	—
1605	C₂×C₄	—	20	8	no	—
1606	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1607	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1608	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1609	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1610	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1611	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1612	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1613	C₅	C₂×#3543	1	1	yes	characteristic, complemented, Sylow
1614	C₂²	—	2	2	no	—
1615	C₂²	—	2	4	no	—
1616	C₂²	—	2	8	no	—
1617	C₂²	—	2	4	no	—
1618	C₂²	—	2	4	no	—
1619	C₂²	—	2	4	no	—
1620	C₂²	—	2	8	no	—
1621	C₂²	—	2	4	no	—
1622	C₂²	—	5	4	no	—
1623	C₂²	—	5	2	no	—
1624	C₂²	—	5	2	no	—
1625	C₂²	—	8	8	no	—
1626	C₂²	—	8	8	no	—
1627	C₂²	—	10	8	no	—
1628	C₂²	—	10	2	no	—
1629	C₂²	—	10	4	no	—
1630	C₂²	—	10	8	no	—
1631	C₂²	—	10	4	no	—
1632	C₂²	—	10	4	no	—
1633	C₂²	—	10	4	no	—
1634	C₂²	—	10	8	no	—
1635	C₂²	—	10	4	no	—
1636	C₂²	—	20	16	no	—
1637	C₂²	—	20	16	no	—
1638	C₂²	—	20	16	no	—
1639	C₂²	—	40	8	no	—
1640	C₂²	—	40	8	no	—
1641	C₂²	—	40	8	no	—
1642	C₂²	—	40	16	no	—
1643	C₂²	—	40	8	no	—
1644	C₂²	D₅×H(5,𝔽₂)	1	2	yes	—
1645	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1646	C₄	—	2	4	no	—
1647	C₄	—	2	1	no	—
1648	C₄	—	2	1	no	—
1649	C₄	—	2	2	no	—
1650	C₄	—	2	4	no	—
1651	C₄	—	2	4	no	—
1652	C₄	—	5	4	no	—
1653	C₄	—	10	4	no	—
1654	C₄	—	10	1	no	—
1655	C₄	—	10	1	no	—
1656	C₄	—	10	2	no	—
1657	C₄	—	10	4	no	—
1658	C₄	—	10	4	no	—
1659	C₄	D₅×H(5,𝔽₂)	1	4	yes	—
1660	C₂	—	2	2	no	—
1661	C₂	—	4	4	no	—
1662	C₂	—	4	4	no	—
1663	C₂	—	4	4	no	—
1664	C₂	—	5	4	no	—
1665	C₂	—	10	2	no	—
1666	C₂	—	20	4	no	—
1667	C₂	—	20	4	no	—
1668	C₂	—	20	4	no	—
1669	C₂	C₂×D₅×H(5,𝔽₂)	1	1	yes	characteristic
1670	C₂	C₂×D₅×H(5,𝔽₂)	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅
commutator, socle, cosocle	C₂²×C₅	C₂⁶
Fitting	C₅×#3543	C₂
hypercenter	#3543	D₅
hypocenter	C₅	C₂×#3543
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #3543

Complements

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

N	H ≅ G/N	type
1. C₅×#3543	C₂	semidirect
2. #10618984	C₂	semidirect
3. D₅×#560	C₂	semidirect
4. #10618967	C₂	semidirect
5. D₅×#559	C₂	semidirect
6. #10618688	C₂	semidirect
7. D₅×#550	C₂	semidirect
8. D₅×#546	C₂	semidirect
9. #10618552	C₂	semidirect
10. #10618525	C₂	semidirect
11. D₄²×D₅	C₂	semidirect
12. D₄²×D₅	C₂	semidirect
13. #10618517	C₂	semidirect
14. #10618394	C₂	semidirect
15. D₅×#540	C₂	semidirect
16. #10618237	C₂	semidirect
17. D₅×#535	C₂	semidirect
18. D₅×#534	C₂	semidirect
19. #10618204	C₂	semidirect
20. #10618098	C₂	semidirect
21. C₂×D₅×#127	C₂	semidirect
22. #10618073	C₂	semidirect
23. D₅×#529	C₂	semidirect
24. C₂×D₅×#41	C₂²	semidirect
25. C₂²×D₄×D₅	C₂²	semidirect
26. C₂²×D₄×D₅	C₂²	semidirect
27. C₂²×D₄×D₅	C₂²	semidirect
28. C₂²×D₄×D₅	C₂²	semidirect
29. C₅×#560	C₂²	semidirect
30. C₅×#559	C₂²	semidirect
31. C₅×#550	C₂²	semidirect
32. C₅×#546	C₂²	semidirect
33. C₅×D₄²	C₂²	semidirect
34. C₅×D₄²	C₂²	semidirect
35. C₅×#540	C₂²	semidirect
36. C₅×#535	C₂²	semidirect
37. C₅×#534	C₂²	semidirect
38. C₂×C₅×#127	C₂²	semidirect
39. C₅×#529	C₂²	semidirect
40. #66168	C₂²	semidirect
41. #66164	C₂²	semidirect
42. #66163	C₂²	semidirect
43. #66140	C₂²	semidirect
44. #66139	C₂²	semidirect
45. #66138	C₂²	semidirect
46. #66138	C₂²	semidirect
47. C₂×#4086	C₂²	semidirect
48. C₂×#4086	C₂²	semidirect
49. D₄×C₂²⋊D₅	C₂²	semidirect
50. D₄×C₂²⋊D₅	C₂²	semidirect
51. D₄×C₂²⋊D₅	C₂²	semidirect
52. D₄×C₂²⋊D₅	C₂²	semidirect
53. #66054	C₂²	semidirect
54. #66053	C₂²	semidirect
55. #66052	C₂²	semidirect
56. #66052	C₂²	semidirect
57. #66051	C₂²	semidirect
58. #66051	C₂²	semidirect
59. #66049	C₂²	semidirect
60. #66049	C₂²	semidirect
62. D₅×#127	C₂²	semidirect
63. D₅×#127	C₂²	semidirect
64. D₅×#127	C₂²	semidirect
65. D₅×#127	C₂²	semidirect
66. D₅×#127	C₂²	semidirect
67. D₅×#127	C₂²	semidirect
68. D₅×#127	C₂²	semidirect
69. D₅×#127	C₂²	semidirect
70. #66047	C₂²	semidirect
71. #66045	C₂²	semidirect
72. #66040	C₂²	semidirect
73. D₅×#126	C₂²	semidirect
74. #66032	C₂²	semidirect
75. #66025	C₂²	semidirect
76. D₅×#125	C₂²	semidirect
77. #66015	C₂²	semidirect
78. #66014	C₂²	semidirect
79. #66010	C₂²	semidirect
80. #66008	C₂²	semidirect
81. #66008	C₂²	semidirect
82. D₅×#124	C₂²	semidirect
83. D₅×#124	C₂²	semidirect
84. #66000	C₂²	semidirect
85. #66000	C₂²	semidirect
86. #65998	C₂²	semidirect
87. #65997	C₂²	semidirect
88. #65997	C₂²	semidirect
89. #65988	C₂²	semidirect
90. #65987	C₂²	semidirect
91. #65987	C₂²	semidirect
92. #65987	C₂²	semidirect
93. D₅×#123	C₂²	semidirect
94. D₅×#123	C₂²	semidirect
95. D₅×#123	C₂²	semidirect
96. D₅×#123	C₂²	semidirect
97. #65983	C₂²	semidirect
98. #65964	C₂²	semidirect
99. D₅×C₂²⋊Q₈	C₂²	semidirect
100. #65958	C₂²	semidirect
101. #65954	C₂²	semidirect
102. #65954	C₂²	semidirect
103. #65954	C₂²	semidirect
104. #65953	C₂²	semidirect
105. #65953	C₂²	semidirect
106. #65949	C₂²	semidirect
107. #65949	C₂²	semidirect
108. #65946	C₂²	semidirect
109. #65944	C₂²	semidirect
110. #65943	C₂²	semidirect
111. #65943	C₂²	semidirect
112. #65943	C₂²	semidirect
113. #65943	C₂²	semidirect
114. #65941	C₂²	semidirect
115. #65941	C₂²	semidirect
116. #65939	C₂²	semidirect
117. #65939	C₂²	semidirect
119. D₅×#121	C₂²	semidirect
120. D₅×#121	C₂²	semidirect
121. D₅×#121	C₂²	semidirect
122. D₅×#121	C₂²	semidirect
123. D₅×#121	C₂²	semidirect
124. D₅×#121	C₂²	semidirect
125. #65934	C₂²	semidirect
126. #65933	C₂²	semidirect
127. #65933	C₂²	semidirect
128. #65929	C₂²	semidirect
129. #65929	C₂²	semidirect
130. #65926	C₂²	semidirect
131. #65926	C₂²	semidirect
132. #65925	C₂²	semidirect
133. #65924	C₂²	semidirect
134. #65924	C₂²	semidirect
135. #65924	C₂²	semidirect
136. #65923	C₂²	semidirect
137. #65923	C₂²	semidirect
138. #65923	C₂²	semidirect
139. D₅×#120	C₂²	semidirect
140. D₅×#120	C₂²	semidirect
141. D₅×#120	C₂²	semidirect
142. D₅×#120	C₂²	semidirect
143. #65919	C₂²	semidirect
144. #65914	C₂²	semidirect
145. #65911	C₂²	semidirect
146. C₄×Q₈×D₅	C₂²	semidirect
147. #65896	C₂²	semidirect
148. #65896	C₂²	semidirect
149. #65893	C₂²	semidirect
150. #65891	C₂²	semidirect
151. #65888	C₂²	semidirect
152. #65887	C₂²	semidirect
153. #65887	C₂²	semidirect
154. #65884	C₂²	semidirect
155. D₄×D₂₀	C₂²	semidirect
156. D₄×D₂₀	C₂²	semidirect
157. D₄×D₂₀	C₂²	semidirect
158. C₄×D₄×D₅	C₂²	semidirect
159. C₄×D₄×D₅	C₂²	semidirect
160. C₄×D₄×D₅	C₂²	semidirect
161. C₄×D₄×D₅	C₂²	semidirect
162. #65872	C₂²	semidirect
163. #65869	C₂²	semidirect
164. #65862	C₂²	semidirect
165. #65859	C₂²	semidirect
166. D₅×#117	C₂²	semidirect
167. #65827	C₂²	semidirect
168. #65824	C₂²	semidirect
169. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
170. #65813	C₂²	semidirect
171. C₂×#4020	C₂²	semidirect
172. C₂×C₄²×D₅	C₂²	semidirect
176. C₂×C₅×#41	C₂³	semidirect
177. C₂²×C₅×D₄	C₂³	semidirect
178. C₂²×C₅×D₄	C₂³	semidirect
179. C₂²×C₅×D₄	C₂³	semidirect
180. C₂²×C₅×D₄	C₂³	semidirect
181. C₂²×C₂²⋊D₅	C₂³	semidirect
182. C₂²×C₂²⋊D₅	C₂³	semidirect
183. C₂²×C₂²⋊D₅	C₂³	semidirect
184. C₂²×C₂²⋊D₅	C₂³	semidirect
185. C₂²×C₂²⋊D₅	C₂³	semidirect
187. C₂×#713	C₂³	semidirect
189. C₂×#711	C₂³	semidirect
190. C₂×#711	C₂³	semidirect
206. C₂×D₄×D₅	C₂³	semidirect
207. C₂×D₄×D₅	C₂³	semidirect
208. C₂×D₄×D₅	C₂³	semidirect
209. C₂×D₄×D₅	C₂³	semidirect
210. C₂×D₄×D₅	C₂³	semidirect
211. C₂×D₄×D₅	C₂³	semidirect
212. C₂×D₄×D₅	C₂³	semidirect
213. C₂×D₄×D₅	C₂³	semidirect
214. C₂×D₄×D₅	C₂³	semidirect
215. C₂×D₄×D₅	C₂³	semidirect
216. C₂×D₄×D₅	C₂³	semidirect
217. C₂×#709	C₂³	semidirect
218. C₂×#709	C₂³	semidirect
219. C₂²×D₂₀	C₂³	semidirect
220. C₂²×D₂₀	C₂³	semidirect
221. C₂²×D₂₀	C₂³	semidirect
222. C₂²×D₂₀	C₂³	semidirect
229. C₅×#127	C₂³	semidirect
230. C₅×#127	C₂³	semidirect
231. C₅×#127	C₂³	semidirect
232. C₅×#127	C₂³	semidirect
233. C₅×#126	C₂³	semidirect
234. C₅×#125	C₂³	semidirect
235. C₅×#124	C₂³	semidirect
236. C₅×#124	C₂³	semidirect
237. C₅×#123	C₂³	semidirect
238. C₅×#123	C₂³	semidirect
239. C₅×#123	C₂³	semidirect
240. C₅×#123	C₂³	semidirect
241. C₅×C₂²⋊Q₈	C₂³	semidirect
243. C₅×#121	C₂³	semidirect
244. C₅×#121	C₂³	semidirect
245. C₅×#121	C₂³	semidirect
246. C₅×#121	C₂³	semidirect
247. C₅×#121	C₂³	semidirect
248. C₅×#121	C₂³	semidirect
249. C₅×#120	C₂³	semidirect
250. C₅×#120	C₂³	semidirect
251. C₅×#120	C₂³	semidirect
252. C₅×#120	C₂³	semidirect
253. C₄×C₅×Q₈	C₂³	semidirect
254. C₄×C₅×D₄	C₂³	semidirect
255. C₄×C₅×D₄	C₂³	semidirect
256. C₄×C₅×D₄	C₂³	semidirect
257. C₄×C₅×D₄	C₂³	semidirect
258. C₅×#117	C₂³	semidirect
259. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
260. C₂×C₄²×C₅	C₂³	semidirect
261. #4099	C₂³	semidirect
262. #4099	C₂³	semidirect
263. #4099	C₂³	semidirect
264. #4099	C₂³	semidirect
265. C₂×C₂²⋊Dic₅	C₂³	semidirect
266. #4093	C₂³	semidirect
267. #4093	C₂³	semidirect
268. #4092	C₂³	semidirect
269. Q₈×Dic₅	C₂³	semidirect
272. #4086	C₂³	semidirect
273. #4086	C₂³	semidirect
274. #4086	C₂³	semidirect
275. #4086	C₂³	semidirect
276. #4086	C₂³	semidirect
277. #4086	C₂³	semidirect
278. #4086	C₂³	semidirect
279. #4086	C₂³	semidirect
280. #4086	C₂³	semidirect
281. #4086	C₂³	semidirect
282. #4086	C₂³	semidirect
283. #4086	C₂³	semidirect
284. #4086	C₂³	semidirect
286. #4085	C₂³	semidirect
287. #4085	C₂³	semidirect
288. #4085	C₂³	semidirect
289. #4085	C₂³	semidirect
290. #4085	C₂³	semidirect
291. #4085	C₂³	semidirect
292. #4085	C₂³	semidirect
293. #4085	C₂³	semidirect
294. #4085	C₂³	semidirect
295. #4085	C₂³	semidirect
297. #4084	C₂³	semidirect
298. #4084	C₂³	semidirect
299. #4084	C₂³	semidirect
300. #4084	C₂³	semidirect
301. #4084	C₂³	semidirect
302. #4084	C₂³	semidirect
303. #4083	C₂³	semidirect
304. #4083	C₂³	semidirect
305. #4083	C₂³	semidirect
306. #4083	C₂³	semidirect
307. #4083	C₂³	semidirect
308. #4083	C₂³	semidirect
309. #4083	C₂³	semidirect
310. #4083	C₂³	semidirect
311. #4083	C₂³	semidirect
312. #4083	C₂³	semidirect
313. #4082	C₂³	semidirect
314. #4082	C₂³	semidirect
315. #4081	C₂³	semidirect
316. #4081	C₂³	semidirect
317. #4081	C₂³	semidirect
318. #4081	C₂³	semidirect
319. D₄×Dic₅	C₂³	semidirect
320. D₄×Dic₅	C₂³	semidirect
321. D₄×Dic₅	C₂³	semidirect
322. D₄×Dic₅	C₂³	semidirect
324. #4076	C₂³	semidirect
325. #4076	C₂³	semidirect
326. #4076	C₂³	semidirect
327. #4076	C₂³	semidirect
328. #4076	C₂³	semidirect
329. #4076	C₂³	semidirect
330. #4075	C₂³	semidirect
331. #4075	C₂³	semidirect
332. #4075	C₂³	semidirect
333. #4075	C₂³	semidirect
334. C₄×C₂²⋊D₅	C₂³	semidirect
335. C₄×C₂²⋊D₅	C₂³	semidirect
336. C₄×C₂²⋊D₅	C₂³	semidirect
337. C₄×C₂²⋊D₅	C₂³	semidirect
338. C₄×C₂²⋊D₅	C₂³	semidirect
339. C₂×#685	C₂³	semidirect
340. #4072	C₂³	semidirect
341. #4070	C₂³	semidirect
342. C₂×C₄×Dic₅	C₂³	semidirect
343. C₂×C₄×Dic₅	C₂³	semidirect
344. #4044	C₂³	semidirect
345. #4044	C₂³	semidirect
346. #4044	C₂³	semidirect
347. #4043	C₂³	semidirect
348. #4042	C₂³	semidirect
350. #4041	C₂³	semidirect
351. #4041	C₂³	semidirect
352. #4041	C₂³	semidirect
353. #4041	C₂³	semidirect
354. #4041	C₂³	semidirect
355. #4041	C₂³	semidirect
356. #4040	C₂³	semidirect
357. #4040	C₂³	semidirect
358. #4040	C₂³	semidirect
359. #4040	C₂³	semidirect
360. #4040	C₂³	semidirect
361. #4040	C₂³	semidirect
362. #4039	C₂³	semidirect
363. #4039	C₂³	semidirect
364. #4039	C₂³	semidirect
365. #4039	C₂³	semidirect
366. #4038	C₂³	semidirect
367. #4038	C₂³	semidirect
374. #4036	C₂³	semidirect
375. #4036	C₂³	semidirect
376. #4035	C₂³	semidirect
377. #4035	C₂³	semidirect
378. #4033	C₂³	semidirect
379. #4033	C₂³	semidirect
380. #4032	C₂³	semidirect
381. #4032	C₂³	semidirect
382. #4032	C₂³	semidirect
383. #4032	C₂³	semidirect
384. #4031	C₂³	semidirect
385. #4031	C₂³	semidirect
386. #4031	C₂³	semidirect
387. #4031	C₂³	semidirect
389. #4030	C₂³	semidirect
390. #4030	C₂³	semidirect
391. #4030	C₂³	semidirect
392. #4030	C₂³	semidirect
393. #4030	C₂³	semidirect
394. #4030	C₂³	semidirect
395. #4030	C₂³	semidirect
396. #4030	C₂³	semidirect
397. #4030	C₂³	semidirect
398. #4030	C₂³	semidirect
399. #4029	C₂³	semidirect
400. #4029	C₂³	semidirect
401. #4029	C₂³	semidirect
402. #4029	C₂³	semidirect
403. #4029	C₂³	semidirect
404. #4029	C₂³	semidirect
405. #4028	C₂³	semidirect
406. #4028	C₂³	semidirect
407. #4028	C₂³	semidirect
408. #4028	C₂³	semidirect
409. #4028	C₂³	semidirect
410. #4028	C₂³	semidirect
411. #4028	C₂³	semidirect
412. #4028	C₂³	semidirect
413. #4028	C₂³	semidirect
414. #4028	C₂³	semidirect
415. #4027	C₂³	semidirect
416. #4027	C₂³	semidirect
417. #4027	C₂³	semidirect
418. #4027	C₂³	semidirect
419. #4027	C₂³	semidirect
429. D₅×C₂²⋊C₄	C₂³	semidirect
430. D₅×C₂²⋊C₄	C₂³	semidirect
431. D₅×C₂²⋊C₄	C₂³	semidirect
432. #4025	C₂³	semidirect
433. #4025	C₂³	semidirect
434. #4025	C₂³	semidirect
435. #4024	C₂³	semidirect
436. #4023	C₂³	semidirect
437. #4023	C₂³	semidirect
438. #4022	C₂³	semidirect
439. #4021	C₂³	semidirect
440. #4021	C₂³	semidirect
442. #4020	C₂³	semidirect
443. #4020	C₂³	semidirect
444. #4020	C₂³	semidirect
445. #4020	C₂³	semidirect
446. C₄×D₂₀	C₂³	semidirect
447. C₄×D₂₀	C₂³	semidirect
448. C₄×D₂₀	C₂³	semidirect
449. C₄×D₂₀	C₂³	semidirect
450. #4018	C₂³	semidirect
451. #4018	C₂³	semidirect
456. C₄²×D₅	C₂³	semidirect
457. C₄²×D₅	C₂³	semidirect
458. C₄²×D₅	C₂³	semidirect
459. #4016	C₂³	semidirect
460. C₄×Dic₁₀	C₂³	semidirect
461. C₄×Dic₁₀	C₂³	semidirect
473. #3543	D₅	direct (N × H)
699. #560	C₂×D₅	semidirect
705. #559	C₂×D₅	semidirect
714. #550	C₂×D₅	semidirect
726. #546	C₂×D₅	semidirect
743. D₄²	C₂×D₅	semidirect
744. D₄²	C₂×D₅	semidirect
756. #540	C₂×D₅	semidirect
768. #535	C₂×D₅	semidirect
780. #534	C₂×D₅	semidirect
793. C₂×#127	C₂×D₅	semidirect
805. #529	C₂×D₅	semidirect
959. C₂×#41	C₂²×D₅	semidirect
996. C₂²×D₄	C₂²×D₅	semidirect
997. C₂²×D₄	C₂²×D₅	semidirect
998. C₂²×D₄	C₂²×D₅	semidirect
999. C₂²×D₄	C₂²×D₅	semidirect
1026. #127	C₂²×D₅	semidirect
1027. #127	C₂²×D₅	semidirect
1028. #127	C₂²×D₅	semidirect
1029. #127	C₂²×D₅	semidirect
1037. #126	C₂²×D₅	semidirect
1043. #125	C₂²×D₅	semidirect
1054. #124	C₂²×D₅	semidirect
1055. #124	C₂²×D₅	semidirect
1080. #123	C₂²×D₅	semidirect
1081. #123	C₂²×D₅	semidirect
1082. #123	C₂²×D₅	semidirect
1083. #123	C₂²×D₅	semidirect
1089. C₂²⋊Q₈	C₂²×D₅	semidirect
1134. #121	C₂²×D₅	semidirect
1135. #121	C₂²×D₅	semidirect
1136. #121	C₂²×D₅	semidirect
1137. #121	C₂²×D₅	semidirect
1138. #121	C₂²×D₅	semidirect
1139. #121	C₂²×D₅	semidirect
1164. #120	C₂²×D₅	semidirect
1165. #120	C₂²×D₅	semidirect
1166. #120	C₂²×D₅	semidirect
1167. #120	C₂²×D₅	semidirect
1173. C₄×Q₈	C₂²×D₅	semidirect
1196. C₄×D₄	C₂²×D₅	semidirect
1197. C₄×D₄	C₂²×D₅	semidirect
1198. C₄×D₄	C₂²×D₅	semidirect
1199. C₄×D₄	C₂²×D₅	semidirect
1207. #117	C₂²×D₅	semidirect
1228. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
1238. C₂×C₄²	C₂²×D₅	semidirect
1495. D₅	#3543	direct (N × H)
1613. C₅	C₂×#3543	semidirect

Maximal subgroups

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

subgroup	index
C₅×#3543	2
#10618984	2
D₅×#560	2
#10618967	2
D₅×#559	2
#10618688	2
D₅×#550	2
D₅×#546	2
#10618552	2
#10618525	2
D₄²×D₅	2
#10618517	2
#10618394	2
D₅×#540	2
#10618237	2
D₅×#535	2
D₅×#534	2
#10618204	2
#10618098	2
C₂×D₅×#127	2
#10618073	2
D₅×#529	2
C₂×#3543	5

Subgroups — D5×#3543 #13006883

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅×#3543 #13006883