Subgroups — D₅×#3460 #13006091

Order 1280.

7994 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3460	C₂	1	1	yes	maximal, characteristic, complemented
2	D₅×#544	C₂	1	1	yes	maximal, characteristic, complemented
3	#10618483	C₂	1	1	yes	maximal, characteristic, complemented
4	D₅×#542	C₂	1	4	yes	maximal, complemented
5	#10618425	C₂	1	4	yes	maximal, complemented
6	D₅×#540	C₂	1	4	yes	maximal, complemented
7	#10618369	C₂	1	4	yes	maximal, complemented
8	D₅×#538	C₂	1	4	yes	maximal, complemented
9	#10618290	C₂	1	4	yes	maximal, complemented
10	D₅×#537	C₂	1	1	yes	maximal, characteristic, complemented
11	#10618265	C₂	1	1	yes	maximal, characteristic, complemented
12	D₅×#535	C₂	1	2	yes	maximal, complemented
13	#10618215	C₂	1	2	yes	maximal, complemented
14	#10618138	C₂	1	4	yes	maximal, complemented
15	D₅×#532	C₂	1	4	yes	maximal, complemented
16	#10618049	C₂	1	4	yes	maximal, complemented
17	D₅×#529	C₂	1	4	yes	maximal, complemented
18	D₅×#525	C₂	1	4	yes	maximal, complemented
19	#10617921	C₂	1	4	yes	maximal, complemented
20	#10617739	C₂	1	2	yes	maximal, complemented
21	C₄×D₅×#41	C₂	1	2	yes	maximal, complemented
22	#10617678	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×D₄×D₅	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×D₅×#41	C₂²	1	2	yes	—
25	C₂×D₅×#41	C₂²	1	4	yes	complemented
26	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
27	C₂³×C₄×D₅	C₂²	1	2	yes	—
28	C₅×#544	C₂²	1	1	yes	characteristic, complemented
29	C₅×#542	C₂²	1	4	yes	complemented
30	C₅×#540	C₂²	1	4	yes	complemented
31	C₅×#538	C₂²	1	4	yes	complemented
32	C₅×#537	C₂²	1	1	yes	characteristic, complemented
33	C₅×#535	C₂²	1	2	yes	complemented
34	C₅×#532	C₂²	1	4	yes	complemented
35	C₅×#529	C₂²	1	4	yes	complemented
36	C₅×#525	C₂²	1	4	yes	complemented
37	C₄×C₅×#41	C₂²	1	2	yes	complemented
38	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
39	#66167	C₂²	1	2	yes	complemented
40	#66166	C₂²	1	8	yes	complemented
41	#66164	C₂²	1	2	yes	complemented
42	#66162	C₂²	1	4	yes	complemented
43	#41×Dic₅	C₂²	1	2	yes	complemented
44	#66139	C₂²	1	2	yes	complemented
45	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
46	#66125	C₂²	1	4	yes	complemented
47	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
48	#66067	C₂²	1	4	yes	complemented
49	#66063	C₂²	1	4	yes	complemented
50	#66059	C₂²	1	4	yes	complemented
51	D₅×C₄⋊Q₈	C₂²	1	4	yes	complemented
52	#66053	C₂²	1	4	yes	complemented
53	#66050	C₂²	1	4	yes	complemented
54	#66049	C₂²	1	4	yes	complemented
55	D₅×#127	C₂²	1	4	yes	—
56	#66044	C₂²	1	8	yes	complemented
57	#66040	C₂²	1	8	yes	complemented
58	#66038	C₂²	1	8	yes	complemented
59	D₅×#126	C₂²	1	8	yes	complemented
60	#66032	C₂²	1	4	yes	complemented
61	#66025	C₂²	1	4	yes	complemented
62	#66023	C₂²	1	4	yes	complemented
63	D₅×#125	C₂²	1	4	yes	complemented
64	#66016	C₂²	1	4	yes	complemented
65	#66014	C₂²	1	4	yes	complemented
66	#66012	C₂²	1	8	yes	complemented
67	#66008	C₂²	1	4	yes	complemented
68	D₅×#124	C₂²	1	4	yes	—
69	D₅×#124	C₂²	1	8	yes	complemented
70	#66003	C₂²	1	8	yes	complemented
71	#66002	C₂²	1	8	yes	complemented
72	#65997	C₂²	1	8	yes	complemented
73	#65997	C₂²	1	8	yes	complemented
74	#65996	C₂²	1	8	yes	complemented
75	#65991	C₂²	1	8	yes	complemented
76	#65990	C₂²	1	8	yes	complemented
77	D₅×#123	C₂²	1	8	yes	complemented
78	D₅×#123	C₂²	1	8	yes	complemented
79	#65983	C₂²	1	8	yes	complemented
80	#65978	C₂²	1	4	yes	complemented
81	#65977	C₂²	1	4	yes	complemented
82	#65974	C₂²	1	8	yes	complemented
83	#65963	C₂²	1	4	yes	complemented
84	#65961	C₂²	1	4	yes	complemented
85	#65961	C₂²	1	4	yes	complemented
86	D₅×C₂²⋊Q₈	C₂²	1	4	yes	—
87	D₅×C₂²⋊Q₈	C₂²	1	4	yes	complemented
88	D₅×C₂²⋊Q₈	C₂²	1	4	yes	complemented
89	#65958	C₂²	1	4	yes	complemented
90	#65957	C₂²	1	4	yes	complemented
91	#65953	C₂²	1	4	yes	complemented
92	#65953	C₂²	1	4	yes	complemented
93	#65951	C₂²	1	4	yes	complemented
94	#65949	C₂²	1	8	yes	complemented
95	#65949	C₂²	1	8	yes	complemented
96	#65947	C₂²	1	8	yes	complemented
97	#65942	C₂²	1	4	yes	complemented
98	#65941	C₂²	1	4	yes	complemented
99	#65941	C₂²	1	4	yes	complemented
100	#65940	C₂²	1	4	yes	complemented
101	#65940	C₂²	1	4	yes	complemented
102	D₅×#121	C₂²	1	4	yes	—
103	D₅×#121	C₂²	1	4	yes	—
104	D₅×#121	C₂²	1	4	yes	—
105	D₅×#121	C₂²	1	4	yes	complemented
106	D₅×#121	C₂²	1	4	yes	complemented
107	D₅×#121	C₂²	1	8	yes	complemented
108	#65937	C₂²	1	4	yes	complemented
109	#65934	C₂²	1	4	yes	complemented
110	#65931	C₂²	1	4	yes	complemented
111	#65930	C₂²	1	4	yes	complemented
112	#65930	C₂²	1	8	yes	complemented
113	#65930	C₂²	1	4	yes	complemented
114	#65927	C₂²	1	8	yes	complemented
115	#65926	C₂²	1	8	yes	complemented
116	D₅×#120	C₂²	1	8	yes	—
117	#65920	C₂²	1	8	yes	complemented
118	#65916	C₂²	1	4	yes	complemented
119	#65914	C₂²	1	4	yes	complemented
120	C₄×#713	C₂²	1	2	yes	complemented
121	C₄×#713	C₂²	1	2	yes	complemented
122	C₄×Q₈×D₅	C₂²	1	2	yes	complemented
123	C₄×Q₈×D₅	C₂²	1	2	yes	complemented
124	#65896	C₂²	1	4	yes	complemented
125	#65896	C₂²	1	4	yes	complemented
126	#65895	C₂²	1	4	yes	complemented
127	#65894	C₂²	1	8	yes	complemented
128	#65891	C₂²	1	4	yes	complemented
129	#65882	C₂²	1	4	yes	complemented
130	#65882	C₂²	1	4	yes	complemented
131	#65882	C₂²	1	8	yes	complemented
132	#65881	C₂²	1	8	yes	complemented
133	#65881	C₂²	1	8	yes	complemented
134	C₄×D₄×D₅	C₂²	1	4	yes	—
135	C₄×D₄×D₅	C₂²	1	4	yes	—
136	C₄×D₄×D₅	C₂²	1	4	yes	—
137	C₄×D₄×D₅	C₂²	1	4	yes	—
138	C₄×D₄×D₅	C₂²	1	4	yes	complemented
139	C₄×D₄×D₅	C₂²	1	4	yes	complemented
140	C₄×D₄×D₅	C₂²	1	2	yes	complemented
141	C₄×D₄×D₅	C₂²	1	2	yes	complemented
142	C₄×D₄×D₅	C₂²	1	8	yes	complemented
143	#65872	C₂²	1	8	yes	complemented
144	C₄×#711	C₂²	1	4	yes	complemented
145	C₄×#711	C₂²	1	4	yes	complemented
146	C₄×#711	C₂²	1	2	yes	complemented
147	C₄×#711	C₂²	1	2	yes	complemented
148	#65869	C₂²	1	4	yes	complemented
149	#65868	C₂²	1	4	yes	complemented
150	#65862	C₂²	1	8	yes	complemented
151	#65859	C₂²	1	2	yes	complemented
152	#65858	C₂²	1	4	yes	complemented
153	#65856	C₂²	1	2	yes	complemented
154	#65856	C₂²	1	4	yes	complemented
155	D₅×#117	C₂²	1	2	yes	—
156	D₅×#117	C₂²	1	4	yes	complemented
157	D₅×#117	C₂²	1	4	yes	complemented
158	#65853	C₂²	1	2	yes	complemented
159	#65844	C₂²	1	1	yes	characteristic, complemented
160	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
161	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
162	#65834	C₂²	1	1	yes	characteristic, complemented
163	#65828	C₂²	1	4	yes	complemented
164	C₂×#4027	C₂²	1	2	yes	complemented
165	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
166	#65813	C₂²	1	4	yes	complemented
167	#65811	C₂²	1	4	yes	complemented
168	C₄×#709	C₂²	1	2	yes	complemented
169	C₄×#709	C₂²	1	4	yes	complemented
170	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
171	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
172	C₂×C₄²×D₅	C₂²	1	4	yes	complemented
173	C₂×#3460	—	5	1	no	maximal, Sylow
174	C₂⁴×D₅	C₂³	1	2	yes	—
175	C₂×C₅×#41	C₂³	1	2	yes	—
176	C₂×C₅×#41	C₂³	1	4	yes	complemented
177	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
178	C₂³×C₄×C₅	C₂³	1	2	yes	—
179	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
180	C₂³×Dic₅	C₂³	1	2	yes	—
181	D₅×#41	—	2	16	no	—
182	D₅×#41	—	4	16	no	—
183	C₂×#713	C₂³	1	2	yes	—
184	C₂×#713	C₂³	1	4	yes	complemented
185	C₂×Q₈×D₅	C₂³	1	2	yes	—
186	C₂×Q₈×D₅	C₂³	1	4	yes	—
187	C₂×#711	C₂³	1	2	yes	—
188	C₂×#711	C₂³	1	4	yes	—
189	C₂×#711	C₂³	1	8	yes	complemented
190	C₂×#711	C₂³	1	4	yes	complemented
191	C₂×D₄×D₅	—	2	8	no	—
192	C₂×D₄×D₅	C₂³	1	2	yes	—
193	C₂×D₄×D₅	C₂³	1	4	yes	—
194	C₂×D₄×D₅	C₂³	1	4	yes	—
195	C₂×D₄×D₅	C₂³	1	4	yes	—
196	C₂×D₄×D₅	C₂³	1	8	yes	—
197	C₂×D₄×D₅	C₂³	1	8	yes	—
198	C₂×D₄×D₅	C₂³	1	4	yes	—
199	C₂×#709	C₂³	1	2	yes	—
200	C₂×#709	C₂³	1	4	yes	—
201	C₂×#709	C₂³	1	8	yes	complemented
202	C₂×#709	C₂³	1	4	yes	complemented
203	C₂²×D₂₀	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₅	—	4	8	no	—
205	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₅	C₂³	1	4	yes	—
207	C₂²×C₄×D₅	C₂³	1	4	yes	—
208	C₂²×C₄×D₅	C₂³	1	4	yes	—
209	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₅	C₂³	1	4	yes	—
211	C₂²×C₄×D₅	C₂³	1	2	yes	—
212	C₂²×C₄×D₅	C₂³	1	2	yes	—
213	C₂²×C₄×D₅	C₂³	1	2	yes	—
214	C₂²×C₄×D₅	C₂³	1	4	yes	—
215	C₂²×C₄×D₅	C₂³	1	4	yes	—
216	C₂²×C₄×D₅	C₂³	1	4	yes	—
217	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
218	C₅×C₄⋊Q₈	C₂³	1	4	yes	complemented
219	C₅×#127	C₂³	1	4	yes	—
220	C₅×#126	C₂³	1	8	yes	complemented
221	C₅×#125	C₂³	1	4	yes	complemented
222	C₅×#124	C₂³	1	4	yes	—
223	C₅×#124	C₂³	1	8	yes	complemented
224	C₅×#123	C₂³	1	8	yes	complemented
225	C₅×#123	C₂³	1	8	yes	complemented
226	C₅×C₂²⋊Q₈	C₂³	1	4	yes	—
227	C₅×C₂²⋊Q₈	C₂³	1	4	yes	complemented
228	C₅×C₂²⋊Q₈	C₂³	1	4	yes	complemented
229	C₅×#121	C₂³	1	4	yes	—
230	C₅×#121	C₂³	1	4	yes	—
231	C₅×#121	C₂³	1	4	yes	—
232	C₅×#121	C₂³	1	4	yes	complemented
233	C₅×#121	C₂³	1	8	yes	complemented
234	C₅×#121	C₂³	1	4	yes	complemented
235	C₅×#120	C₂³	1	8	yes	—
236	C₄×C₅×Q₈	C₂³	1	2	yes	complemented
237	C₄×C₅×Q₈	C₂³	1	2	yes	complemented
238	C₄×C₅×D₄	C₂³	1	4	yes	—
239	C₄×C₅×D₄	C₂³	1	4	yes	—
240	C₄×C₅×D₄	C₂³	1	4	yes	—
241	C₄×C₅×D₄	C₂³	1	4	yes	—
242	C₄×C₅×D₄	C₂³	1	2	yes	complemented
243	C₄×C₅×D₄	C₂³	1	2	yes	complemented
244	C₄×C₅×D₄	C₂³	1	8	yes	complemented
245	C₅×#117	C₂³	1	2	yes	—
246	C₅×#117	C₂³	1	4	yes	complemented
247	C₅×#117	C₂³	1	4	yes	complemented
248	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
250	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
251	C₂×C₄²×C₅	C₂³	1	4	yes	complemented
252	#4099	C₂³	1	8	yes	—
253	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
254	#4093	C₂³	1	4	yes	—
255	#4093	C₂³	1	8	yes	complemented
256	#4092	C₂³	1	4	yes	—
257	#4092	C₂³	1	4	yes	complemented
258	#4092	C₂³	1	4	yes	complemented
259	Q₈×Dic₅	C₂³	1	2	yes	complemented
260	Q₈×Dic₅	C₂³	1	2	yes	complemented
261	#4090	C₂³	1	8	yes	complemented
262	#4086	C₂³	1	4	yes	—
263	#4086	C₂³	1	4	yes	—
264	#4086	C₂³	1	8	yes	—
265	#4086	C₂³	1	8	yes	—
266	#4085	C₂³	1	8	yes	—
267	#4085	C₂³	1	8	yes	—
268	#4085	C₂³	1	8	yes	—
269	#4085	C₂³	1	8	yes	complemented
270	#4085	C₂³	1	8	yes	complemented
271	#4085	C₂³	1	8	yes	complemented
272	#4085	C₂³	1	8	yes	complemented
273	#4084	C₂³	1	4	yes	—
274	#4084	C₂³	1	4	yes	—
275	#4084	C₂³	1	4	yes	—
276	#4084	C₂³	1	4	yes	complemented
277	#4084	C₂³	1	8	yes	complemented
278	#4084	C₂³	1	4	yes	complemented
279	#4083	C₂³	1	8	yes	—
280	#4083	C₂³	1	8	yes	—
281	#4083	C₂³	1	8	yes	—
282	#4082	C₂³	1	4	yes	—
283	#4082	C₂³	1	8	yes	complemented
284	#4081	C₂³	1	8	yes	complemented
285	#4081	C₂³	1	8	yes	complemented
286	D₄×Dic₅	C₂³	1	4	yes	—
287	D₄×Dic₅	C₂³	1	4	yes	—
288	D₄×Dic₅	C₂³	1	4	yes	—
289	D₄×Dic₅	C₂³	1	4	yes	—
290	D₄×Dic₅	C₂³	1	2	yes	complemented
291	D₄×Dic₅	C₂³	1	8	yes	complemented
292	D₄×Dic₅	C₂³	1	2	yes	complemented
293	#4076	C₂³	1	4	yes	—
294	#4076	C₂³	1	4	yes	—
295	#4076	C₂³	1	4	yes	—
296	#4076	C₂³	1	4	yes	complemented
297	#4076	C₂³	1	8	yes	complemented
298	#4076	C₂³	1	4	yes	complemented
299	#4075	C₂³	1	8	yes	complemented
300	#4075	C₂³	1	8	yes	complemented
301	C₄×C₂²⋊D₅	C₂³	1	4	yes	—
302	C₄×C₂²⋊D₅	C₂³	1	4	yes	—
303	C₄×C₂²⋊D₅	C₂³	1	4	yes	—
304	C₄×C₂²⋊D₅	C₂³	1	4	yes	—
305	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
306	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
307	C₄×C₂²⋊D₅	C₂³	1	4	yes	complemented
308	C₄×C₂²⋊D₅	C₂³	1	4	yes	complemented
309	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
310	C₄×C₂²⋊D₅	C₂³	1	8	yes	complemented
311	C₂×#685	C₂³	1	2	yes	—
312	C₂×#685	C₂³	1	2	yes	—
313	#4072	C₂³	1	2	yes	—
314	#4072	C₂³	1	4	yes	complemented
315	#4072	C₂³	1	4	yes	complemented
316	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
317	#4070	C₂³	1	4	yes	—
318	#4070	C₂³	1	4	yes	complemented
319	#4070	C₂³	1	4	yes	complemented
320	C₂×#683	C₂³	1	2	yes	—
321	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
322	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
323	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
324	C₂×C₄×Dic₅	C₂³	1	4	yes	complemented
325	C₂×C₄×Dic₅	C₂³	1	4	yes	complemented
326	C₂×C₄×Dic₅	C₂³	1	4	yes	complemented
327	#4044	C₂³	1	8	yes	complemented
328	#4044	C₂³	1	8	yes	complemented
329	#4044	C₂³	1	8	yes	complemented
330	#4043	C₂³	1	4	yes	—
331	#4043	C₂³	1	4	yes	complemented
332	#4043	C₂³	1	4	yes	complemented
333	#4042	C₂³	1	8	yes	—
334	#4042	C₂³	1	8	yes	complemented
335	#4042	C₂³	1	8	yes	complemented
336	#4041	C₂³	1	4	yes	—
337	#4041	C₂³	1	4	yes	—
338	#4041	C₂³	1	4	yes	—
339	#4041	C₂³	1	4	yes	complemented
340	#4041	C₂³	1	8	yes	complemented
341	#4041	C₂³	1	4	yes	complemented
342	#4040	C₂³	1	8	yes	complemented
343	#4040	C₂³	1	8	yes	complemented
344	#4040	C₂³	1	8	yes	complemented
345	#4040	C₂³	1	8	yes	complemented
346	#4039	C₂³	1	4	yes	—
347	#4039	C₂³	1	4	yes	—
348	#4039	C₂³	1	4	yes	—
349	#4039	C₂³	1	4	yes	—
350	#4039	C₂³	1	2	yes	complemented
351	#4039	C₂³	1	8	yes	complemented
352	#4039	C₂³	1	2	yes	complemented
353	#4038	C₂³	1	2	yes	—
354	#4038	C₂³	1	2	yes	—
355	#4038	C₂³	1	4	yes	complemented
356	#4038	C₂³	1	4	yes	complemented
357	#4038	C₂³	1	4	yes	complemented
358	#4038	C₂³	1	4	yes	complemented
359	D₅×C₄⋊C₄	C₂³	1	2	yes	—
360	D₅×C₄⋊C₄	C₂³	1	4	yes	—
361	D₅×C₄⋊C₄	C₂³	1	8	yes	—
362	D₅×C₄⋊C₄	C₂³	1	4	yes	—
363	D₅×C₄⋊C₄	C₂³	1	2	yes	—
364	D₅×C₄⋊C₄	C₂³	1	4	yes	—
365	D₅×C₄⋊C₄	C₂³	1	4	yes	—
366	D₅×C₄⋊C₄	C₂³	1	4	yes	—
367	D₅×C₄⋊C₄	C₂³	1	4	yes	—
368	#4036	C₂³	1	4	yes	complemented
369	#4036	C₂³	1	4	yes	complemented
370	#4035	C₂³	1	8	yes	complemented
371	#4035	C₂³	1	8	yes	complemented
372	#4034	C₂³	1	4	yes	complemented
373	#4034	C₂³	1	4	yes	complemented
374	#4034	C₂³	1	8	yes	complemented
375	#4033	C₂³	1	2	yes	complemented
376	#4033	C₂³	1	2	yes	complemented
377	#4033	C₂³	1	4	yes	complemented
378	#4033	C₂³	1	4	yes	complemented
379	#4032	C₂³	1	8	yes	complemented
380	#4032	C₂³	1	8	yes	complemented
381	#4031	C₂³	1	8	yes	—
382	#4031	C₂³	1	8	yes	—
383	#4031	C₂³	1	8	yes	complemented
384	#4031	C₂³	1	8	yes	complemented
385	#4031	C₂³	1	8	yes	complemented
386	#4031	C₂³	1	8	yes	complemented
387	#4030	C₂³	1	8	yes	—
388	#4030	C₂³	1	8	yes	—
389	#4030	C₂³	1	8	yes	—
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	#4029	C₂³	1	8	yes	complemented
395	#4029	C₂³	1	8	yes	complemented
396	#4029	C₂³	1	8	yes	complemented
397	#4029	C₂³	1	8	yes	complemented
398	#4028	C₂³	1	8	yes	—
399	#4028	C₂³	1	8	yes	—
400	#4028	C₂³	1	8	yes	—
401	#4027	C₂³	1	8	yes	—
402	#4027	C₂³	1	8	yes	—
403	#4027	C₂³	1	4	yes	—
404	#4027	C₂³	1	4	yes	—
405	#4027	C₂³	1	4	yes	—
406	#4027	C₂³	1	4	yes	—
407	#4027	C₂³	1	4	yes	complemented
408	#4027	C₂³	1	4	yes	complemented
409	#4027	C₂³	1	8	yes	complemented
410	#4027	C₂³	1	8	yes	complemented
411	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
412	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
413	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
414	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
415	D₅×C₂²⋊C₄	C₂³	1	4	yes	—
416	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
417	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
418	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
419	#4025	C₂³	1	8	yes	complemented
420	#4025	C₂³	1	8	yes	complemented
421	#4025	C₂³	1	8	yes	complemented
422	#4024	C₂³	1	8	yes	—
423	#4024	C₂³	1	8	yes	complemented
424	#4024	C₂³	1	8	yes	complemented
425	#4023	C₂³	1	4	yes	—
426	#4023	C₂³	1	4	yes	complemented
427	#4023	C₂³	1	4	yes	complemented
428	#4023	C₂³	1	8	yes	complemented
429	#4022	C₂³	1	8	yes	complemented
430	#4021	C₂³	1	4	yes	—
431	#4021	C₂³	1	8	yes	complemented
432	#4020	C₂³	1	4	yes	—
433	C₄×D₂₀	C₂³	1	4	yes	—
434	C₄×D₂₀	C₂³	1	4	yes	—
435	C₄×D₂₀	C₂³	1	4	yes	—
436	C₄×D₂₀	C₂³	1	4	yes	—
437	C₄×D₂₀	C₂³	1	2	yes	complemented
438	C₄×D₂₀	C₂³	1	2	yes	complemented
439	C₄×D₂₀	C₂³	1	8	yes	complemented
440	#4018	C₂³	1	4	yes	—
441	#4018	C₂³	1	4	yes	complemented
442	#4018	C₂³	1	4	yes	complemented
443	#4018	C₂³	1	8	yes	complemented
444	C₄²×D₅	C₂³	1	4	yes	—
445	C₄²×D₅	C₂³	1	2	yes	—
446	C₄²×D₅	C₂³	1	2	yes	—
447	C₄²×D₅	C₂³	1	2	yes	—
448	C₄²×D₅	C₂³	1	2	yes	—
449	C₄²×D₅	C₂³	1	4	yes	—
450	C₄²×D₅	C₂³	1	4	yes	—
451	C₄²×D₅	C₂³	1	4	yes	complemented
452	C₄²×D₅	C₂³	1	4	yes	complemented
453	C₄²×D₅	C₂³	1	4	yes	complemented
454	C₄²×D₅	C₂³	1	4	yes	complemented
455	#4016	C₂³	1	4	yes	complemented
456	#4015	C₂³	1	4	yes	complemented
457	C₄×Dic₁₀	C₂³	1	2	yes	complemented
458	C₄×Dic₁₀	C₂³	1	4	yes	complemented
459	C₄×Dic₁₀	C₂³	1	2	yes	complemented
460	C₄×Dic₁₀	C₂³	1	4	yes	complemented
461	#3460	—	5	1	no	—
462	#3460	—	5	4	no	—
463	#3460	—	5	4	no	—
464	#3460	—	5	4	no	—
465	#3460	—	5	1	no	—
466	#3460	—	5	2	no	—
467	#3460	—	5	4	no	—
468	#3460	—	5	4	no	—
469	#3460	—	5	4	no	—
470	#3460	—	5	2	no	—
471	#3460	—	5	1	no	—
472	#3460	D₅	1	1	yes	characteristic, direct product factor
473	C₂×#544	—	5	1	no	—
474	C₂×#542	—	5	4	no	—
475	C₂×#540	—	5	4	no	—
476	C₂×#538	—	5	4	no	—
477	C₂×#537	—	5	1	no	—
478	C₂×#535	—	5	2	no	—
479	C₂×#532	—	5	4	no	—
480	C₂×#529	—	5	4	no	—
481	C₂×#525	—	5	4	no	—
482	C₂×C₄×#41	—	5	2	no	—
483	C₂²×C₄×D₄	—	5	1	no	—
484	C₂⁴×C₅	C₂⁴	1	2	yes	—
485	C₂³×D₅	—	2	8	no	—
486	C₂³×D₅	—	4	4	no	—
487	C₂³×D₅	—	4	4	no	—
488	C₂³×D₅	C₂⁴	1	4	yes	—
489	C₂³×D₅	C₂⁴	1	4	yes	—
490	C₂³×D₅	C₂⁴	1	1	yes	characteristic
491	C₂³×D₅	C₂⁴	1	2	yes	—
492	C₂³×D₅	C₂⁴	1	4	yes	—
493	C₅×#41	—	2	8	no	—
494	C₅×#41	—	4	8	no	—
495	C₂×C₅×Q₈	C₂⁴	1	2	yes	—
496	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
497	C₂×C₅×D₄	—	2	4	no	—
498	C₂×C₅×D₄	C₂⁴	1	4	yes	—
499	C₂×C₅×D₄	C₂⁴	1	4	yes	—
500	C₂×C₅×D₄	C₂⁴	1	2	yes	—
501	C₂×C₅×D₄	C₂⁴	1	8	yes	—
502	C₂×C₅×D₄	C₂⁴	1	8	yes	—
503	C₂×C₅×D₄	C₂⁴	1	4	yes	—
504	C₂²×C₄×C₅	—	4	4	no	—
505	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
507	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
508	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
509	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
510	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
511	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
512	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
513	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
514	C₂×C₂²⋊D₅	—	2	8	no	—
515	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
516	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
517	C₂×C₂²⋊D₅	C₂⁴	1	4	yes	—
518	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
519	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
520	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
521	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
522	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
523	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
524	C₂²×Dic₅	—	4	4	no	—
525	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
526	C₂²×Dic₅	C₂⁴	1	4	yes	—
527	C₂²×Dic₅	C₂⁴	1	4	yes	—
528	C₂²×Dic₅	C₂⁴	1	4	yes	—
529	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
530	C₂²×Dic₅	C₂⁴	1	2	yes	—
531	C₂²×Dic₅	C₂⁴	1	4	yes	—
532	C₂²×Dic₅	C₂⁴	1	4	yes	—
533	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
534	#713	—	2	8	no	—
535	#713	—	4	8	no	—
536	Q₈×D₅	—	2	8	no	—
537	Q₈×D₅	—	4	8	no	—
538	#711	—	2	16	no	—
539	#711	—	2	8	no	—
540	#711	—	4	8	no	—
541	#711	—	4	16	no	—
542	D₄×D₅	—	2	16	no	—
543	D₄×D₅	—	2	16	no	—
544	D₄×D₅	—	2	8	no	—
545	D₄×D₅	—	2	16	no	—
546	D₄×D₅	—	4	16	no	—
547	D₄×D₅	—	4	8	no	—
548	D₄×D₅	—	4	16	no	—
549	#709	—	2	8	no	—
550	#709	—	2	16	no	—
551	#709	—	4	16	no	—
552	#709	—	4	8	no	—
553	C₂×D₂₀	—	2	4	no	—
554	C₂×D₂₀	C₂⁴	1	4	yes	—
555	C₂×D₂₀	C₂⁴	1	4	yes	—
556	C₂×D₂₀	C₂⁴	1	2	yes	—
557	C₂×D₂₀	C₂⁴	1	8	yes	—
558	C₂×D₂₀	C₂⁴	1	4	yes	—
559	C₂×D₂₀	C₂⁴	1	8	yes	—
560	C₂×C₄×D₅	—	2	16	no	—
561	C₂×C₄×D₅	—	2	4	no	—
562	C₂×C₄×D₅	—	2	16	no	—
563	C₂×C₄×D₅	—	2	16	no	—
564	C₂×C₄×D₅	—	4	8	no	—
565	C₂×C₄×D₅	—	4	4	no	—
566	C₂×C₄×D₅	—	4	8	no	—
567	C₂×C₄×D₅	—	4	4	no	—
568	C₂×C₄×D₅	—	4	8	no	—
569	C₂×C₄×D₅	—	4	4	no	—
570	C₂×C₄×D₅	—	4	2	no	—
571	C₂×C₄×D₅	—	4	8	no	—
572	C₂×C₄×D₅	#41	1	8	yes	complemented
573	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
574	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
575	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
576	C₂×C₄×D₅	C₂⁴	1	4	yes	—
577	C₂×C₄×D₅	C₂⁴	1	4	yes	—
578	C₂×C₄×D₅	C₂⁴	1	4	yes	—
579	C₂×C₄×D₅	C₂⁴	1	2	yes	—
580	C₂×C₄×D₅	C₂⁴	1	4	yes	—
581	C₂×C₄×D₅	C₂⁴	1	4	yes	—
582	C₂×C₄×D₅	C₂⁴	1	4	yes	—
583	C₂×C₄×D₅	C₂⁴	1	4	yes	—
584	C₂×C₄×D₅	C₂⁴	1	4	yes	—
585	C₂×C₄×D₅	C₂⁴	1	4	yes	—
586	C₂×C₄×D₅	C₂⁴	1	4	yes	—
587	C₂×C₄×D₅	C₂⁴	1	4	yes	—
588	C₂×C₄×D₅	C₂⁴	1	4	yes	—
589	C₂×C₄×D₅	C₂⁴	1	4	yes	—
590	C₂×C₄×D₅	C₂⁴	1	2	yes	—
591	C₂×C₄×D₅	C₂⁴	1	4	yes	—
592	C₂×C₄×D₅	C₂⁴	1	4	yes	—
593	C₂×C₄×D₅	C₂⁴	1	2	yes	—
594	C₂×C₄×D₅	C₂⁴	1	2	yes	—
595	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
596	C₂×Dic₁₀	C₂⁴	1	2	yes	—
597	C₂×Dic₁₀	C₂⁴	1	4	yes	—
598	C₂×Dic₁₀	C₂⁴	1	8	yes	—
599	C₂×Dic₁₀	C₂⁴	1	4	yes	—
600	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
601	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
602	C₅×C₄⋊C₄	C₂⁴	1	2	yes	—
603	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
604	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
605	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
606	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
607	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
608	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
609	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
610	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
611	C₅×C₂²⋊C₄	C₂⁴	1	4	yes	—
612	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
613	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
614	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
615	C₄²×C₅	C₂⁴	1	2	yes	—
616	C₄²×C₅	C₂⁴	1	2	yes	—
617	C₄²×C₅	C₂⁴	1	4	yes	—
618	C₄²×C₅	C₂⁴	1	4	yes	—
619	C₄²×C₅	C₂⁴	1	4	yes	—
620	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
621	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
622	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
623	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
624	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
625	C₂²⋊Dic₅	C₂⁴	1	4	yes	—
626	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
627	#685	C₂⁴	1	4	yes	—
628	#685	C₂⁴	1	4	yes	—
629	#685	C₂⁴	1	4	yes	—
630	#685	C₂⁴	1	4	yes	—
631	#685	C₂⁴	1	4	yes	—
632	#685	C₂⁴	1	4	yes	—
633	#685	C₂⁴	1	8	yes	—
634	#685	C₂⁴	1	8	yes	—
635	#685	C₂⁴	1	8	yes	—
636	#685	C₂⁴	1	8	yes	—
637	#685	C₂⁴	1	8	yes	—
638	#685	C₂⁴	1	8	yes	—
639	#685	C₂⁴	1	8	yes	—
640	#685	C₂⁴	1	8	yes	—
641	C₄⋊Dic₅	C₂⁴	1	2	yes	—
642	C₄⋊Dic₅	C₂⁴	1	2	yes	—
643	C₄⋊Dic₅	C₂⁴	1	4	yes	—
644	C₄⋊Dic₅	C₂⁴	1	4	yes	—
645	C₄⋊Dic₅	C₂⁴	1	4	yes	—
646	C₄⋊Dic₅	C₂⁴	1	8	yes	—
647	C₄⋊Dic₅	C₂⁴	1	4	yes	—
648	C₄⋊Dic₅	C₂⁴	1	4	yes	—
649	#683	C₂⁴	1	4	yes	—
650	#683	C₂⁴	1	4	yes	—
651	#683	C₂⁴	1	4	yes	—
652	#683	C₂⁴	1	4	yes	—
653	#683	C₂⁴	1	4	yes	—
654	#683	C₂⁴	1	4	yes	—
655	#683	C₂⁴	1	8	yes	—
656	#683	C₂⁴	1	8	yes	—
657	#683	C₂⁴	1	8	yes	—
658	#683	C₂⁴	1	8	yes	—
659	#683	C₂⁴	1	8	yes	—
660	C₄×Dic₅	C₂⁴	1	2	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	2	yes	—
665	C₄×Dic₅	C₂⁴	1	2	yes	—
666	C₄×Dic₅	C₂⁴	1	2	yes	—
667	C₄×Dic₅	C₂⁴	1	2	yes	—
668	C₄×Dic₅	C₂⁴	1	4	yes	—
669	C₄×Dic₅	C₂⁴	1	4	yes	—
670	C₄×Dic₅	C₂⁴	1	4	yes	—
671	C₄×Dic₅	C₂⁴	1	4	yes	—
672	C₄×Dic₅	C₂⁴	1	4	yes	—
673	C₄×Dic₅	C₂⁴	1	4	yes	—
674	C₄×Dic₅	C₂⁴	1	4	yes	—
675	C₂²×#41	—	5	2	no	—
676	C₂²×#41	—	5	4	no	—
677	C₂³×D₄	—	5	1	no	—
678	C₂⁴×C₄	—	5	2	no	—
679	#544	—	5	4	no	—
680	#544	—	5	4	no	—
681	#544	—	5	4	no	—
682	#544	—	5	2	no	—
683	#544	—	5	1	no	—
684	#544	C₂×D₅	1	1	yes	characteristic, complemented
685	#542	—	5	4	no	—
686	#542	—	5	8	no	—
687	#542	—	5	4	no	—
688	#542	—	5	8	no	—
689	#542	—	5	8	no	—
690	#542	—	5	8	no	—
691	#542	—	5	4	no	—
692	#542	—	5	4	no	—
693	#542	—	5	4	no	—
694	#542	—	5	4	no	—
695	#542	—	5	4	no	—
696	#542	C₂×D₅	1	4	yes	complemented
697	#540	—	5	4	no	—
698	#540	—	5	4	no	—
699	#540	—	5	8	no	—
700	#540	—	5	8	no	—
701	#540	—	5	4	no	—
702	#540	—	5	8	no	—
703	#540	—	5	8	no	—
704	#540	—	5	4	no	—
705	#540	—	5	4	no	—
706	#540	—	5	4	no	—
707	#540	—	5	4	no	—
708	#540	C₂×D₅	1	4	yes	complemented
709	#538	—	5	8	no	—
710	#538	—	5	8	no	—
711	#538	—	5	8	no	—
712	#538	—	5	4	no	—
713	#538	—	5	4	no	—
714	#538	—	5	8	no	—
715	#538	—	5	8	no	—
716	#538	—	5	8	no	—
717	#538	—	5	4	no	—
718	#538	C₂×D₅	1	4	yes	complemented
719	#537	—	5	2	no	—
720	#537	—	5	4	no	—
721	#537	—	5	4	no	—
722	#537	—	5	4	no	—
723	#537	—	5	1	no	—
724	#537	C₂×D₅	1	1	yes	characteristic, complemented
725	#535	—	5	2	no	—
726	#535	—	5	2	no	—
727	#535	—	5	4	no	—
728	#535	—	5	4	no	—
729	#535	—	5	4	no	—
730	#535	—	5	4	no	—
731	#535	—	5	8	no	—
732	#535	—	5	2	no	—
733	#535	C₂×D₅	1	2	yes	complemented
734	#532	—	5	8	no	—
735	#532	—	5	4	no	—
736	#532	—	5	4	no	—
737	#532	—	5	8	no	—
738	#532	—	5	4	no	—
739	#532	—	5	4	no	—
740	#532	—	5	8	no	—
741	#532	—	5	4	no	—
742	#532	—	5	8	no	—
743	#532	—	5	4	no	—
744	#532	—	5	4	no	—
745	#532	C₂×D₅	1	4	yes	complemented
746	C₂×C₄⋊Q₈	—	5	4	no	—
747	C₂×#127	—	5	4	no	—
748	#529	—	5	8	no	—
749	#529	—	5	4	no	—
750	#529	—	5	4	no	—
751	#529	—	5	8	no	—
752	#529	—	5	4	no	—
753	#529	—	5	4	no	—
754	#529	—	5	4	no	—
755	#529	—	5	4	no	—
756	#529	—	5	8	no	—
757	#529	—	5	8	no	—
758	#529	—	5	4	no	—
759	#529	C₂×D₅	1	4	yes	complemented
760	C₂×#126	—	5	8	no	—
761	C₂×#125	—	5	4	no	—
762	C₂×#124	—	5	4	no	—
763	C₂×#124	—	5	8	no	—
764	#525	—	5	4	no	—
765	#525	—	5	4	no	—
766	#525	—	5	8	no	—
767	#525	—	5	4	no	—
768	#525	—	5	4	no	—
769	#525	—	5	4	no	—
770	#525	—	5	4	no	—
771	#525	—	5	8	no	—
772	#525	—	5	8	no	—
773	#525	—	5	8	no	—
774	#525	—	5	4	no	—
775	#525	C₂×D₅	1	4	yes	complemented
776	C₂×#123	—	5	8	no	—
777	C₂×#123	—	5	8	no	—
778	C₂×C₂²⋊Q₈	—	5	4	no	—
779	C₂×C₂²⋊Q₈	—	5	4	no	—
780	C₂×C₂²⋊Q₈	—	5	4	no	—
781	C₂×#121	—	5	4	no	—
782	C₂×#121	—	5	4	no	—
783	C₂×#121	—	5	4	no	—
784	C₂×#121	—	5	4	no	—
785	C₂×#121	—	5	4	no	—
786	C₂×#121	—	5	8	no	—
787	C₂×#120	—	5	8	no	—
788	C₄×#41	—	5	2	no	—
789	C₄×#41	—	5	2	no	—
790	C₄×#41	—	5	2	no	—
791	C₄×#41	—	5	4	no	—
792	C₄×#41	—	5	4	no	—
793	C₄×#41	—	5	2	no	—
794	C₄×#41	—	5	2	no	—
795	C₄×#41	—	5	2	no	—
796	C₄×#41	—	5	4	no	—
797	C₄×#41	—	5	2	no	—
798	C₄×#41	—	5	4	no	—
799	C₄×#41	C₂×D₅	1	2	yes	complemented
800	C₂×C₄×Q₈	—	5	2	no	—
801	C₂×C₄×Q₈	—	5	2	no	—
802	C₂×C₄×D₄	—	5	1	no	—
803	C₂×C₄×D₄	—	5	2	no	—
804	C₂×C₄×D₄	—	5	4	no	—
805	C₂×C₄×D₄	—	5	4	no	—
806	C₂×C₄×D₄	—	5	4	no	—
807	C₂×C₄×D₄	—	5	4	no	—
808	C₂×C₄×D₄	—	5	4	no	—
809	C₂×C₄×D₄	—	5	4	no	—
810	C₂×C₄×D₄	—	5	2	no	—
811	C₂×C₄×D₄	—	5	2	no	—
812	C₂×C₄×D₄	—	5	8	no	—
813	C₂×C₄×D₄	—	5	1	no	—
814	C₂×C₄×D₄	—	5	2	no	—
815	C₂×C₄×D₄	—	5	1	no	—
816	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
817	C₂×#117	—	5	2	no	—
818	C₂×#117	—	5	4	no	—
819	C₂×#117	—	5	4	no	—
820	C₂²×C₄⋊C₄	—	5	1	no	—
821	C₂²×C₂²⋊C₄	—	5	2	no	—
822	C₂²×C₄²	—	5	1	no	—
823	C₂²×C₄²	—	5	4	no	—
824	C₂³×C₅	—	2	4	no	—
825	C₂³×C₅	—	4	2	no	—
826	C₂³×C₅	—	4	2	no	—
827	C₂³×C₅	C₂⁵	1	4	yes	—
828	C₂³×C₅	C₂⁵	1	4	yes	—
829	C₂³×C₅	C₂⁵	1	1	yes	characteristic
830	C₂²×D₅	—	2	2	no	—
831	C₂²×D₅	—	2	2	no	—
832	C₂²×D₅	—	2	4	no	—
833	C₂²×D₅	—	2	8	no	—
834	C₂²×D₅	—	2	8	no	—
835	C₂²×D₅	—	2	8	no	—
836	C₂²×D₅	—	2	8	no	—
837	C₂²×D₅	—	2	8	no	—
838	C₂²×D₅	—	2	8	no	—
839	C₂²×D₅	—	2	8	no	—
840	C₂²×D₅	—	4	4	no	—
841	C₂²×D₅	—	4	2	no	—
842	C₂²×D₅	—	4	4	no	—
843	C₂²×D₅	—	4	2	no	—
844	C₂²×D₅	—	4	32	no	—
845	C₂²×D₅	C₂×#41	1	4	yes	—
846	C₂²×D₅	C₂⁵	1	4	yes	—
847	C₂²×D₅	C₂⁵	1	4	yes	—
848	C₂²×D₅	C₂⁵	1	1	yes	characteristic
849	C₂²×D₅	C₂⁵	1	1	yes	characteristic
850	C₅×Q₈	—	2	4	no	—
851	C₅×Q₈	—	4	4	no	—
852	C₅×D₄	—	2	8	no	—
853	C₅×D₄	—	2	8	no	—
854	C₅×D₄	—	2	4	no	—
855	C₅×D₄	—	4	8	no	—
856	C₅×D₄	—	4	4	no	—
857	C₅×D₄	—	4	8	no	—
858	C₂×C₄×C₅	—	2	8	no	—
859	C₂×C₄×C₅	—	2	2	no	—
860	C₂×C₄×C₅	—	2	8	no	—
861	C₂×C₄×C₅	—	2	8	no	—
862	C₂×C₄×C₅	—	4	2	no	—
863	C₂×C₄×C₅	—	4	4	no	—
864	C₂×C₄×C₅	—	4	1	no	—
865	C₂×C₄×C₅	—	4	4	no	—
866	C₂×C₄×C₅	C₂×#41	1	4	yes	complemented
867	C₂×C₄×C₅	C₂⁵	1	2	yes	—
868	C₂×C₄×C₅	C₂⁵	1	4	yes	—
869	C₂×C₄×C₅	C₂⁵	1	4	yes	—
870	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
871	C₂×C₄×C₅	C₂⁵	1	4	yes	—
872	C₂×C₄×C₅	C₂⁵	1	4	yes	—
873	C₂×C₄×C₅	C₂⁵	1	2	yes	—
874	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
875	C₂²⋊D₅	—	2	8	no	—
876	C₂²⋊D₅	—	2	8	no	—
877	C₂²⋊D₅	—	2	8	no	—
878	C₂²⋊D₅	—	2	16	no	—
879	C₂²⋊D₅	—	4	8	no	—
880	C₂²⋊D₅	—	4	8	no	—
881	C₂²⋊D₅	—	4	8	no	—
882	C₂²⋊D₅	—	4	8	no	—
883	C₂²⋊D₅	—	4	8	no	—
884	C₂×Dic₅	—	2	8	no	—
885	C₂×Dic₅	—	2	2	no	—
886	C₂×Dic₅	—	2	8	no	—
887	C₂×Dic₅	—	2	8	no	—
888	C₂×Dic₅	—	4	2	no	—
889	C₂×Dic₅	—	4	4	no	—
890	C₂×Dic₅	—	4	1	no	—
891	C₂×Dic₅	—	4	4	no	—
892	C₂×Dic₅	C₂×#41	1	4	yes	complemented
893	C₂×Dic₅	C₂⁵	1	2	yes	—
894	C₂×Dic₅	C₂⁵	1	4	yes	—
895	C₂×Dic₅	C₂⁵	1	4	yes	—
896	C₂×Dic₅	C₂⁵	1	4	yes	—
897	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
898	C₂×Dic₅	C₂⁵	1	4	yes	—
899	C₂×Dic₅	C₂⁵	1	2	yes	—
900	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
901	D₂₀	—	2	8	no	—
902	D₂₀	—	2	8	no	—
903	D₂₀	—	2	4	no	—
904	D₂₀	—	4	8	no	—
905	D₂₀	—	4	4	no	—
906	D₂₀	—	4	8	no	—
907	C₄×D₅	—	2	8	no	—
908	C₄×D₅	—	2	2	no	—
909	C₄×D₅	—	2	8	no	—
910	C₄×D₅	—	2	8	no	—
911	C₄×D₅	—	2	4	no	—
912	C₄×D₅	—	2	8	no	—
913	C₄×D₅	—	2	8	no	—
914	C₄×D₅	—	2	2	no	—
915	C₄×D₅	—	2	8	no	—
916	C₄×D₅	—	2	8	no	—
917	C₄×D₅	—	2	8	no	—
918	C₄×D₅	—	2	2	no	—
919	C₄×D₅	—	2	8	no	—
920	C₄×D₅	—	2	8	no	—
921	C₄×D₅	—	4	4	no	—
922	C₄×D₅	—	4	4	no	—
923	C₄×D₅	—	4	4	no	—
924	C₄×D₅	—	4	2	no	—
925	C₄×D₅	—	4	4	no	—
926	C₄×D₅	—	4	4	no	—
927	C₄×D₅	C₂×#41	1	8	yes	—
928	C₄×D₅	C₂×#41	1	8	yes	complemented
929	C₄×D₅	H(5,𝔽₂)	1	4	yes	—
930	Dic₁₀	—	2	4	no	—
931	Dic₁₀	—	2	8	no	—
932	Dic₁₀	—	4	4	no	—
933	Dic₁₀	—	4	8	no	—
934	C₂⁵	—	5	2	no	—
935	C₂×#41	—	5	2	no	—
936	C₂×#41	—	5	4	no	—
937	C₂×#41	—	5	4	no	—
938	C₂×#41	—	5	2	no	—
939	C₂×#41	—	5	4	no	—
940	C₂×#41	—	5	8	no	—
941	C₂×#41	—	5	4	no	—
942	C₂×#41	—	5	2	no	—
943	C₂×#41	—	5	4	no	—
944	C₂×#41	—	5	8	no	—
945	C₂×#41	—	10	16	no	—
946	C₂×#41	—	20	16	no	—
947	C₂×#41	C₂²×D₅	1	2	yes	—
948	C₂×#41	C₂²×D₅	1	4	yes	complemented
949	C₂²×Q₈	—	5	2	no	—
950	C₂²×Q₈	—	5	4	no	—
951	C₂²×D₄	—	5	2	no	—
952	C₂²×D₄	—	5	4	no	—
953	C₂²×D₄	—	5	4	no	—
954	C₂²×D₄	—	5	2	no	—
955	C₂²×D₄	—	5	4	no	—
956	C₂²×D₄	—	5	8	no	—
957	C₂²×D₄	—	5	8	no	—
958	C₂²×D₄	—	5	4	no	—
959	C₂²×D₄	—	5	1	no	—
960	C₂²×D₄	—	10	8	no	—
961	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
962	C₂³×C₄	—	5	1	no	—
963	C₂³×C₄	—	5	2	no	—
964	C₂³×C₄	—	5	4	no	—
965	C₂³×C₄	—	5	4	no	—
966	C₂³×C₄	—	5	1	no	—
967	C₂³×C₄	—	5	4	no	—
968	C₂³×C₄	—	5	1	no	—
969	C₂³×C₄	—	5	2	no	—
970	C₂³×C₄	—	5	4	no	—
971	C₂³×C₄	—	5	4	no	—
972	C₂³×C₄	—	5	2	no	—
973	C₂³×C₄	—	5	4	no	—
974	C₂³×C₄	—	5	2	no	—
975	C₂³×C₄	—	5	4	no	—
976	C₂³×C₄	—	20	8	no	—
977	C₂³×C₄	C₂²×D₅	1	2	yes	—
978	C₄⋊Q₈	—	5	8	no	—
979	C₄⋊Q₈	—	5	8	no	—
980	C₄⋊Q₈	—	5	4	no	—
981	C₄⋊Q₈	—	5	4	no	—
982	C₄⋊Q₈	—	5	4	no	—
983	C₄⋊Q₈	C₂²×D₅	1	4	yes	complemented
984	#127	—	5	8	no	—
985	#127	—	5	8	no	—
986	#127	—	5	4	no	—
987	#127	—	5	4	no	—
988	#127	—	5	4	no	—
989	#127	C₂²×D₅	1	4	yes	—
990	#126	—	5	8	no	—
991	#126	—	5	8	no	—
992	#126	—	5	8	no	—
993	#126	—	5	8	no	—
994	#126	—	5	8	no	—
995	#126	—	5	8	no	—
996	#126	—	5	8	no	—
997	#126	C₂²×D₅	1	8	yes	complemented
998	#125	—	5	8	no	—
999	#125	—	5	8	no	—
1000	#125	—	5	4	no	—
1001	#125	—	5	4	no	—
1002	#125	—	5	4	no	—
1003	#125	C₂²×D₅	1	4	yes	complemented
1004	#124	—	5	4	no	—
1005	#124	—	5	8	no	—
1006	#124	—	5	4	no	—
1007	#124	—	5	8	no	—
1008	#124	—	5	8	no	—
1009	#124	—	5	8	no	—
1010	#124	—	5	8	no	—
1011	#124	—	5	8	no	—
1012	#124	—	5	8	no	—
1013	#124	—	5	8	no	—
1014	#124	—	5	4	no	—
1015	#124	—	5	8	no	—
1016	#124	C₂²×D₅	1	4	yes	—
1017	#124	C₂²×D₅	1	8	yes	complemented
1018	#123	—	5	8	no	—
1019	#123	—	5	8	no	—
1020	#123	—	5	8	no	—
1021	#123	—	5	8	no	—
1022	#123	—	5	8	no	—
1023	#123	—	5	8	no	—
1024	#123	—	5	8	no	—
1025	#123	—	5	8	no	—
1026	#123	—	5	8	no	—
1027	#123	—	5	8	no	—
1028	#123	—	5	8	no	—
1029	#123	—	5	8	no	—
1030	#123	—	5	8	no	—
1031	#123	—	5	8	no	—
1032	#123	C₂²×D₅	1	8	yes	complemented
1033	#123	C₂²×D₅	1	8	yes	complemented
1034	C₂²⋊Q₈	—	5	4	no	—
1035	C₂²⋊Q₈	—	5	4	no	—
1036	C₂²⋊Q₈	—	5	4	no	—
1037	C₂²⋊Q₈	—	5	4	no	—
1038	C₂²⋊Q₈	—	5	4	no	—
1039	C₂²⋊Q₈	—	5	4	no	—
1040	C₂²⋊Q₈	—	5	8	no	—
1041	C₂²⋊Q₈	—	5	4	no	—
1042	C₂²⋊Q₈	—	5	8	no	—
1043	C₂²⋊Q₈	—	5	4	no	—
1044	C₂²⋊Q₈	—	5	8	no	—
1045	C₂²⋊Q₈	—	5	4	no	—
1046	C₂²⋊Q₈	—	5	8	no	—
1047	C₂²⋊Q₈	—	5	8	no	—
1048	C₂²⋊Q₈	—	5	8	no	—
1049	C₂²⋊Q₈	C₂²×D₅	1	4	yes	—
1050	C₂²⋊Q₈	C₂²×D₅	1	4	yes	complemented
1051	C₂²⋊Q₈	C₂²×D₅	1	4	yes	complemented
1052	#121	—	5	4	no	—
1053	#121	—	5	8	no	—
1054	#121	—	5	4	no	—
1055	#121	—	5	8	no	—
1056	#121	—	5	4	no	—
1057	#121	—	5	8	no	—
1058	#121	—	5	4	no	—
1059	#121	—	5	8	no	—
1060	#121	—	5	4	no	—
1061	#121	—	5	8	no	—
1062	#121	—	5	8	no	—
1063	#121	—	5	8	no	—
1064	#121	—	5	8	no	—
1065	#121	—	5	4	no	—
1066	#121	—	5	4	no	—
1067	#121	—	5	4	no	—
1068	#121	—	5	4	no	—
1069	#121	—	5	4	no	—
1070	#121	—	5	8	no	—
1071	#121	—	5	4	no	—
1072	#121	—	5	4	no	—
1073	#121	—	5	4	no	—
1074	#121	—	5	4	no	—
1075	#121	—	5	4	no	—
1076	#121	—	5	8	no	—
1077	#121	—	5	8	no	—
1078	#121	—	5	8	no	—
1079	#121	—	5	8	no	—
1080	#121	—	5	8	no	—
1081	#121	—	5	8	no	—
1082	#121	—	5	8	no	—
1083	#121	—	5	8	no	—
1084	#121	C₂²×D₅	1	4	yes	—
1085	#121	C₂²×D₅	1	4	yes	—
1086	#121	C₂²×D₅	1	4	yes	—
1087	#121	C₂²×D₅	1	4	yes	complemented
1088	#121	C₂²×D₅	1	4	yes	complemented
1089	#121	C₂²×D₅	1	8	yes	complemented
1090	#120	—	5	8	no	—
1091	#120	—	5	8	no	—
1092	#120	—	5	8	no	—
1093	#120	—	5	8	no	—
1094	#120	—	5	8	no	—
1095	#120	—	5	8	no	—
1096	#120	—	5	8	no	—
1097	#120	C₂²×D₅	1	8	yes	—
1098	C₄×Q₈	—	5	2	no	—
1099	C₄×Q₈	—	5	2	no	—
1100	C₄×Q₈	—	5	4	no	—
1101	C₄×Q₈	—	5	2	no	—
1102	C₄×Q₈	—	5	4	no	—
1103	C₄×Q₈	—	5	2	no	—
1104	C₄×Q₈	—	5	4	no	—
1105	C₄×Q₈	—	5	2	no	—
1106	C₄×Q₈	—	5	4	no	—
1107	C₄×Q₈	—	5	2	no	—
1108	C₄×Q₈	C₂²×D₅	1	2	yes	complemented
1109	C₄×Q₈	C₂²×D₅	1	2	yes	complemented
1110	C₄×D₄	—	5	4	no	—
1111	C₄×D₄	—	5	4	no	—
1112	C₄×D₄	—	5	4	no	—
1113	C₄×D₄	—	5	2	no	—
1114	C₄×D₄	—	5	4	no	—
1115	C₄×D₄	—	5	2	no	—
1116	C₄×D₄	—	5	8	no	—
1117	C₄×D₄	—	5	8	no	—
1118	C₄×D₄	—	5	8	no	—
1119	C₄×D₄	—	5	4	no	—
1120	C₄×D₄	—	5	4	no	—
1121	C₄×D₄	—	5	4	no	—
1122	C₄×D₄	—	5	4	no	—
1123	C₄×D₄	—	5	4	no	—
1124	C₄×D₄	—	5	4	no	—
1125	C₄×D₄	—	5	8	no	—
1126	C₄×D₄	—	5	8	no	—
1127	C₄×D₄	—	5	4	no	—
1128	C₄×D₄	—	5	4	no	—
1129	C₄×D₄	—	5	4	no	—
1130	C₄×D₄	—	5	2	no	—
1131	C₄×D₄	—	5	4	no	—
1132	C₄×D₄	—	5	2	no	—
1133	C₄×D₄	—	5	8	no	—
1134	C₄×D₄	—	5	8	no	—
1135	C₄×D₄	—	5	8	no	—
1136	C₄×D₄	—	5	4	no	—
1137	C₄×D₄	—	5	4	no	—
1138	C₄×D₄	—	5	4	no	—
1139	C₄×D₄	—	5	4	no	—
1140	C₄×D₄	—	5	4	no	—
1141	C₄×D₄	—	5	4	no	—
1142	C₄×D₄	—	5	8	no	—
1143	C₄×D₄	—	5	8	no	—
1144	C₄×D₄	—	5	4	no	—
1145	C₄×D₄	—	5	4	no	—
1146	C₄×D₄	—	5	4	no	—
1147	C₄×D₄	—	5	2	no	—
1148	C₄×D₄	—	5	4	no	—
1149	C₄×D₄	—	5	2	no	—
1150	C₄×D₄	—	5	8	no	—
1151	C₄×D₄	C₂²×D₅	1	4	yes	—
1152	C₄×D₄	C₂²×D₅	1	4	yes	—
1153	C₄×D₄	C₂²×D₅	1	4	yes	—
1154	C₄×D₄	C₂²×D₅	1	4	yes	—
1155	C₄×D₄	C₂²×D₅	1	2	yes	complemented
1156	C₄×D₄	C₂²×D₅	1	2	yes	complemented
1157	C₄×D₄	C₂²×D₅	1	8	yes	complemented
1158	#117	—	5	2	no	—
1159	#117	—	5	4	no	—
1160	#117	—	5	4	no	—
1161	#117	—	5	2	no	—
1162	#117	—	5	2	no	—
1163	#117	—	5	4	no	—
1164	#117	—	5	4	no	—
1165	#117	—	5	4	no	—
1166	#117	—	5	4	no	—
1167	#117	—	5	4	no	—
1168	#117	—	5	4	no	—
1169	#117	—	5	4	no	—
1170	#117	—	5	8	no	—
1171	#117	—	5	4	no	—
1172	#117	—	5	4	no	—
1173	#117	—	5	4	no	—
1174	#117	—	5	8	no	—
1175	#117	C₂²×D₅	1	2	yes	—
1176	#117	C₂²×D₅	1	4	yes	complemented
1177	#117	C₂²×D₅	1	4	yes	complemented
1178	C₂×C₄⋊C₄	—	5	2	no	—
1179	C₂×C₄⋊C₄	—	5	1	no	—
1180	C₂×C₄⋊C₄	—	5	4	no	—
1181	C₂×C₄⋊C₄	—	5	4	no	—
1182	C₂×C₄⋊C₄	—	5	2	no	—
1183	C₂×C₄⋊C₄	—	5	2	no	—
1184	C₂×C₄⋊C₄	—	5	4	no	—
1185	C₂×C₄⋊C₄	—	5	4	no	—
1186	C₂×C₄⋊C₄	—	5	4	no	—
1187	C₂×C₄⋊C₄	—	5	4	no	—
1188	C₂×C₄⋊C₄	—	5	8	no	—
1189	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1190	C₂×C₂²⋊C₄	—	5	2	no	—
1191	C₂×C₂²⋊C₄	—	5	2	no	—
1192	C₂×C₂²⋊C₄	—	5	2	no	—
1193	C₂×C₂²⋊C₄	—	5	8	no	—
1194	C₂×C₂²⋊C₄	—	5	8	no	—
1195	C₂×C₂²⋊C₄	—	5	4	no	—
1196	C₂×C₂²⋊C₄	—	5	4	no	—
1197	C₂×C₂²⋊C₄	—	5	4	no	—
1198	C₂×C₂²⋊C₄	—	5	8	no	—
1199	C₂×C₂²⋊C₄	—	5	8	no	—
1200	C₂×C₂²⋊C₄	—	5	8	no	—
1201	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
1202	C₂×C₄²	—	5	1	no	—
1203	C₂×C₄²	—	5	1	no	—
1204	C₂×C₄²	—	5	1	no	—
1205	C₂×C₄²	—	5	4	no	—
1206	C₂×C₄²	—	5	4	no	—
1207	C₂×C₄²	—	5	4	no	—
1208	C₂×C₄²	—	5	2	no	—
1209	C₂×C₄²	—	5	4	no	—
1210	C₂×C₄²	—	5	4	no	—
1211	C₂×C₄²	—	5	2	no	—
1212	C₂×C₄²	—	5	2	no	—
1213	C₂×C₄²	—	5	2	no	—
1214	C₂×C₄²	—	5	4	no	—
1215	C₂×C₄²	—	5	4	no	—
1216	C₂×C₄²	—	5	4	no	—
1217	C₂×C₄²	—	5	4	no	—
1218	C₂×C₄²	—	5	4	no	—
1219	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1220	C₂×C₄²	C₂²×D₅	1	4	yes	complemented
1221	C₂²×C₅	—	2	1	no	—
1222	C₂²×C₅	—	2	1	no	—
1223	C₂²×C₅	—	2	4	no	—
1224	C₂²×C₅	—	2	4	no	—
1225	C₂²×C₅	—	2	4	no	—
1226	C₂²×C₅	—	2	4	no	—
1227	C₂²×C₅	—	2	4	no	—
1228	C₂²×C₅	—	2	4	no	—
1229	C₂²×C₅	—	4	8	no	—
1230	C₂²×C₅	C₂²×#41	1	2	yes	—
1231	C₂²×C₅	C₂⁶	1	1	yes	characteristic
1232	C₂×D₅	—	2	1	no	—
1233	C₂×D₅	—	2	1	no	—
1234	C₂×D₅	—	2	8	no	—
1235	C₂×D₅	—	2	4	no	—
1236	C₂×D₅	—	2	4	no	—
1237	C₂×D₅	—	2	4	no	—
1238	C₂×D₅	—	2	4	no	—
1239	C₂×D₅	—	2	4	no	—
1240	C₂×D₅	—	2	4	no	—
1241	C₂×D₅	—	4	16	no	—
1242	C₂×D₅	—	4	8	no	—
1243	C₂×D₅	—	4	16	no	—
1244	C₂×D₅	—	4	16	no	—
1245	C₂×D₅	C₂²×#41	1	2	yes	—
1246	C₂×D₅	C₂²×#41	1	2	yes	—
1247	C₂×D₅	C₂×H(5,𝔽₂)	1	2	yes	—
1248	C₂×D₅	#585	1	2	yes	—
1249	C₄×C₅	—	2	4	no	—
1250	C₄×C₅	—	2	4	no	—
1251	C₄×C₅	—	2	4	no	—
1252	C₄×C₅	—	2	1	no	—
1253	C₄×C₅	—	2	2	no	—
1254	C₄×C₅	—	2	4	no	—
1255	C₄×C₅	C₂²×#41	1	4	yes	—
1256	C₄×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
1257	Dic₅	—	2	4	no	—
1258	Dic₅	—	2	4	no	—
1259	Dic₅	—	2	4	no	—
1260	Dic₅	—	2	1	no	—
1261	Dic₅	—	2	2	no	—
1262	Dic₅	—	2	4	no	—
1263	Dic₅	C₂²×#41	1	4	yes	—
1264	Dic₅	C₂×H(5,𝔽₂)	1	2	yes	—
1265	C₂⁴	—	5	1	no	—
1266	C₂⁴	—	5	4	no	—
1267	C₂⁴	—	5	4	no	—
1268	C₂⁴	—	5	4	no	—
1269	C₂⁴	—	5	2	no	—
1270	C₂⁴	—	10	8	no	—
1271	C₂⁴	—	20	4	no	—
1272	C₂⁴	—	20	4	no	—
1273	C₂⁴	C₂³×D₅	1	2	yes	—
1274	#41	—	2	8	no	—
1275	#41	—	4	8	no	—
1276	#41	—	10	16	no	—
1277	#41	—	10	16	no	—
1278	#41	—	10	8	no	—
1279	#41	—	10	8	no	—
1280	#41	—	10	8	no	—
1281	#41	—	20	8	no	—
1282	#41	—	20	16	no	—
1283	#41	—	20	8	no	—
1284	#41	—	20	16	no	—
1285	#41	—	20	8	no	—
1286	C₂×Q₈	—	5	4	no	—
1287	C₂×Q₈	—	5	2	no	—
1288	C₂×Q₈	—	5	4	no	—
1289	C₂×Q₈	—	5	8	no	—
1290	C₂×Q₈	—	10	8	no	—
1291	C₂×Q₈	—	20	8	no	—
1292	C₂×Q₈	C₂³×D₅	1	2	yes	—
1293	C₂×Q₈	C₂³×D₅	1	4	yes	—
1294	C₂×D₄	—	2	4	no	—
1295	C₂×D₄	—	5	4	no	—
1296	C₂×D₄	—	5	4	no	—
1297	C₂×D₄	—	5	8	no	—
1298	C₂×D₄	—	5	4	no	—
1299	C₂×D₄	—	5	8	no	—
1300	C₂×D₄	—	5	8	no	—
1301	C₂×D₄	—	5	8	no	—
1302	C₂×D₄	—	5	8	no	—
1303	C₂×D₄	—	5	8	no	—
1304	C₂×D₄	—	5	4	no	—
1305	C₂×D₄	—	5	4	no	—
1306	C₂×D₄	—	5	2	no	—
1307	C₂×D₄	—	5	8	no	—
1308	C₂×D₄	—	5	8	no	—
1309	C₂×D₄	—	5	4	no	—
1310	C₂×D₄	—	10	16	no	—
1311	C₂×D₄	—	10	16	no	—
1312	C₂×D₄	—	10	8	no	—
1313	C₂×D₄	—	10	8	no	—
1314	C₂×D₄	—	10	16	no	—
1315	C₂×D₄	—	10	4	no	—
1316	C₂×D₄	—	20	8	no	—
1317	C₂×D₄	—	20	16	no	—
1318	C₂×D₄	—	20	16	no	—
1319	C₂×D₄	C₂³×D₅	1	4	yes	—
1320	C₂×D₄	C₂³×D₅	1	4	yes	—
1321	C₂×D₄	C₂³×D₅	1	2	yes	—
1322	C₂×D₄	C₂³×D₅	1	8	yes	—
1323	C₂×D₄	C₂³×D₅	1	8	yes	—
1324	C₂×D₄	C₂³×D₅	1	4	yes	—
1325	C₂²×C₄	—	4	4	no	—
1326	C₂²×C₄	—	5	1	no	—
1327	C₂²×C₄	—	5	8	no	—
1328	C₂²×C₄	—	5	2	no	—
1329	C₂²×C₄	—	5	2	no	—
1330	C₂²×C₄	—	5	1	no	—
1331	C₂²×C₄	—	5	4	no	—
1332	C₂²×C₄	—	5	1	no	—
1333	C₂²×C₄	—	5	4	no	—
1334	C₂²×C₄	—	5	4	no	—
1335	C₂²×C₄	—	5	1	no	—
1336	C₂²×C₄	—	5	4	no	—
1337	C₂²×C₄	—	5	2	no	—
1338	C₂²×C₄	—	5	4	no	—
1339	C₂²×C₄	—	5	2	no	—
1340	C₂²×C₄	—	5	4	no	—
1341	C₂²×C₄	—	5	4	no	—
1342	C₂²×C₄	—	5	1	no	—
1343	C₂²×C₄	—	5	4	no	—
1344	C₂²×C₄	—	5	4	no	—
1345	C₂²×C₄	—	5	4	no	—
1346	C₂²×C₄	—	5	1	no	—
1347	C₂²×C₄	—	5	4	no	—
1348	C₂²×C₄	—	5	4	no	—
1349	C₂²×C₄	—	5	4	no	—
1350	C₂²×C₄	—	5	1	no	—
1351	C₂²×C₄	—	5	4	no	—
1352	C₂²×C₄	—	5	4	no	—
1353	C₂²×C₄	—	5	2	no	—
1354	C₂²×C₄	—	5	4	no	—
1355	C₂²×C₄	—	5	4	no	—
1356	C₂²×C₄	—	5	4	no	—
1357	C₂²×C₄	—	5	4	no	—
1358	C₂²×C₄	—	5	4	no	—
1359	C₂²×C₄	—	10	4	no	—
1360	C₂²×C₄	—	10	16	no	—
1361	C₂²×C₄	—	10	16	no	—
1362	C₂²×C₄	—	10	16	no	—
1363	C₂²×C₄	—	20	4	no	—
1364	C₂²×C₄	—	20	8	no	—
1365	C₂²×C₄	—	20	8	no	—
1366	C₂²×C₄	—	20	4	no	—
1367	C₂²×C₄	—	20	8	no	—
1368	C₂²×C₄	—	20	4	no	—
1369	C₂²×C₄	—	20	2	no	—
1370	C₂²×C₄	—	20	8	no	—
1371	C₂²×C₄	—	20	4	no	—
1372	C₂²×C₄	C₂³×D₅	1	4	yes	—
1373	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1374	C₂²×C₄	C₂³×D₅	1	4	yes	—
1375	C₂²×C₄	C₂³×D₅	1	4	yes	—
1376	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1377	C₂²×C₄	C₂³×D₅	1	4	yes	—
1378	C₂²×C₄	C₂³×D₅	1	2	yes	—
1379	C₂²×C₄	C₂³×D₅	1	4	yes	—
1380	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1381	C₄⋊C₄	—	5	8	no	—
1382	C₄⋊C₄	—	5	4	no	—
1383	C₄⋊C₄	—	5	4	no	—
1384	C₄⋊C₄	—	5	2	no	—
1385	C₄⋊C₄	—	5	4	no	—
1386	C₄⋊C₄	—	5	2	no	—
1387	C₄⋊C₄	—	5	4	no	—
1388	C₄⋊C₄	—	5	4	no	—
1389	C₄⋊C₄	—	5	4	no	—
1390	C₄⋊C₄	—	5	4	no	—
1391	C₄⋊C₄	—	5	4	no	—
1392	C₄⋊C₄	—	5	4	no	—
1393	C₄⋊C₄	—	5	8	no	—
1394	C₄⋊C₄	—	5	4	no	—
1395	C₄⋊C₄	—	5	8	no	—
1396	C₄⋊C₄	—	5	4	no	—
1397	C₄⋊C₄	—	5	8	no	—
1398	C₄⋊C₄	—	5	8	no	—
1399	C₄⋊C₄	—	5	8	no	—
1400	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1401	C₄⋊C₄	C₂³×D₅	1	2	yes	—
1402	C₄⋊C₄	C₂³×D₅	1	2	yes	—
1403	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1404	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1405	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1406	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1407	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1408	C₂²⋊C₄	—	5	8	no	—
1409	C₂²⋊C₄	—	5	4	no	—
1410	C₂²⋊C₄	—	5	4	no	—
1411	C₂²⋊C₄	—	5	4	no	—
1412	C₂²⋊C₄	—	5	8	no	—
1413	C₂²⋊C₄	—	5	8	no	—
1414	C₂²⋊C₄	—	5	8	no	—
1415	C₂²⋊C₄	—	5	8	no	—
1416	C₂²⋊C₄	—	5	8	no	—
1417	C₂²⋊C₄	—	5	4	no	—
1418	C₂²⋊C₄	—	5	4	no	—
1419	C₂²⋊C₄	—	5	4	no	—
1420	C₂²⋊C₄	—	5	4	no	—
1421	C₂²⋊C₄	—	5	4	no	—
1422	C₂²⋊C₄	—	5	4	no	—
1423	C₂²⋊C₄	—	5	8	no	—
1424	C₂²⋊C₄	—	5	8	no	—
1425	C₂²⋊C₄	—	5	8	no	—
1426	C₂²⋊C₄	—	5	8	no	—
1427	C₂²⋊C₄	—	5	8	no	—
1428	C₂²⋊C₄	—	5	8	no	—
1429	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1430	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1431	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1432	C₂²⋊C₄	C₂³×D₅	1	4	yes	—
1433	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1434	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1435	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1436	C₄²	—	5	2	no	—
1437	C₄²	—	5	2	no	—
1438	C₄²	—	5	4	no	—
1439	C₄²	—	5	4	no	—
1440	C₄²	—	5	2	no	—
1441	C₄²	—	5	2	no	—
1442	C₄²	—	5	2	no	—
1443	C₄²	—	5	4	no	—
1444	C₄²	—	5	4	no	—
1445	C₄²	—	5	4	no	—
1446	C₄²	—	5	4	no	—
1447	C₄²	—	5	4	no	—
1448	C₄²	—	5	4	no	—
1449	C₄²	—	5	2	no	—
1450	C₄²	—	5	4	no	—
1451	C₄²	C₂³×D₅	1	2	yes	—
1452	C₄²	C₂³×D₅	1	4	yes	—
1453	C₄²	C₂³×D₅	1	4	yes	—
1454	C₄²	C₂³×D₅	1	2	yes	—
1455	C₄²	C₂³×D₅	1	4	yes	—
1456	C₂×C₅	—	2	2	no	—
1457	C₂×C₅	—	4	4	no	—
1458	C₂×C₅	—	4	4	no	—
1459	C₂×C₅	C₂³×#41	1	1	yes	characteristic
1460	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1461	C₂×C₅	C₂×#585	1	1	yes	characteristic
1462	D₅	—	2	2	no	—
1463	D₅	—	4	4	no	—
1464	D₅	—	4	4	no	—
1465	D₅	#3460	1	4	yes	direct product factor
1466	C₂³	—	2	4	no	—
1467	C₂³	—	4	2	no	—
1468	C₂³	—	4	2	no	—
1469	C₂³	—	5	1	no	—
1470	C₂³	—	5	4	no	—
1471	C₂³	—	5	1	no	—
1472	C₂³	—	5	4	no	—
1473	C₂³	—	5	4	no	—
1474	C₂³	—	10	2	no	—
1475	C₂³	—	10	2	no	—
1476	C₂³	—	10	8	no	—
1477	C₂³	—	10	8	no	—
1478	C₂³	—	10	8	no	—
1479	C₂³	—	10	8	no	—
1480	C₂³	—	10	8	no	—
1481	C₂³	—	10	8	no	—
1482	C₂³	—	10	8	no	—
1483	C₂³	—	10	4	no	—
1484	C₂³	—	20	2	no	—
1485	C₂³	—	20	4	no	—
1486	C₂³	—	20	2	no	—
1487	C₂³	—	20	4	no	—
1488	C₂³	—	20	32	no	—
1489	C₂³	C₂⁴×D₅	1	4	yes	—
1490	C₂³	C₂⁴×D₅	1	4	yes	—
1491	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1492	Q₈	—	2	4	no	—
1493	Q₈	—	4	4	no	—
1494	Q₈	—	10	8	no	—
1495	Q₈	—	10	4	no	—
1496	Q₈	—	20	4	no	—
1497	Q₈	—	20	8	no	—
1498	D₄	—	2	8	no	—
1499	D₄	—	2	8	no	—
1500	D₄	—	2	4	no	—
1501	D₄	—	4	4	no	—
1502	D₄	—	4	8	no	—
1503	D₄	—	4	8	no	—
1504	D₄	—	10	8	no	—
1505	D₄	—	10	16	no	—
1506	D₄	—	10	8	no	—
1507	D₄	—	10	8	no	—
1508	D₄	—	10	8	no	—
1509	D₄	—	10	8	no	—
1510	D₄	—	10	4	no	—
1511	D₄	—	20	4	no	—
1512	D₄	—	20	8	no	—
1513	D₄	—	20	8	no	—
1514	D₄	—	20	8	no	—
1515	D₄	—	20	8	no	—
1516	D₄	—	20	8	no	—
1517	D₄	—	20	8	no	—
1518	D₄	—	20	8	no	—
1519	C₂×C₄	—	2	8	no	—
1520	C₂×C₄	—	2	2	no	—
1521	C₂×C₄	—	2	8	no	—
1522	C₂×C₄	—	2	8	no	—
1523	C₂×C₄	—	4	4	no	—
1524	C₂×C₄	—	4	2	no	—
1525	C₂×C₄	—	4	1	no	—
1526	C₂×C₄	—	4	4	no	—
1527	C₂×C₄	—	5	4	no	—
1528	C₂×C₄	—	5	1	no	—
1529	C₂×C₄	—	5	2	no	—
1530	C₂×C₄	—	5	8	no	—
1531	C₂×C₄	—	5	8	no	—
1532	C₂×C₄	—	5	4	no	—
1533	C₂×C₄	—	5	2	no	—
1534	C₂×C₄	—	5	4	no	—
1535	C₂×C₄	—	5	4	no	—
1536	C₂×C₄	—	5	1	no	—
1537	C₂×C₄	—	5	4	no	—
1538	C₂×C₄	—	5	4	no	—
1539	C₂×C₄	—	10	2	no	—
1540	C₂×C₄	—	10	8	no	—
1541	C₂×C₄	—	10	8	no	—
1542	C₂×C₄	—	10	8	no	—
1543	C₂×C₄	—	10	2	no	—
1544	C₂×C₄	—	10	8	no	—
1545	C₂×C₄	—	10	8	no	—
1546	C₂×C₄	—	10	8	no	—
1547	C₂×C₄	—	10	4	no	—
1548	C₂×C₄	—	10	8	no	—
1549	C₂×C₄	—	10	2	no	—
1550	C₂×C₄	—	10	8	no	—
1551	C₂×C₄	—	10	8	no	—
1552	C₂×C₄	—	10	8	no	—
1553	C₂×C₄	—	10	8	no	—
1554	C₂×C₄	—	10	2	no	—
1555	C₂×C₄	—	10	8	no	—
1556	C₂×C₄	—	10	8	no	—
1557	C₂×C₄	—	20	4	no	—
1558	C₂×C₄	—	20	4	no	—
1559	C₂×C₄	—	20	4	no	—
1560	C₂×C₄	—	20	2	no	—
1561	C₂×C₄	—	20	4	no	—
1562	C₂×C₄	—	20	4	no	—
1563	C₂×C₄	—	20	4	no	—
1564	C₂×C₄	—	20	2	no	—
1565	C₂×C₄	—	20	1	no	—
1566	C₂×C₄	—	20	4	no	—
1567	C₂×C₄	D₅×#41	1	4	yes	complemented
1568	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1569	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1570	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1571	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1572	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1573	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1574	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1575	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1576	C₅	C₂×#3460	1	1	yes	characteristic, complemented, Sylow
1577	C₂²	—	2	1	no	—
1578	C₂²	—	2	1	no	—
1579	C₂²	—	2	4	no	—
1580	C₂²	—	2	4	no	—
1581	C₂²	—	2	4	no	—
1582	C₂²	—	2	4	no	—
1583	C₂²	—	2	4	no	—
1584	C₂²	—	2	4	no	—
1585	C₂²	—	4	8	no	—
1586	C₂²	—	5	2	no	—
1587	C₂²	—	5	2	no	—
1588	C₂²	—	5	2	no	—
1589	C₂²	—	5	2	no	—
1590	C₂²	—	10	8	no	—
1591	C₂²	—	10	1	no	—
1592	C₂²	—	10	1	no	—
1593	C₂²	—	10	4	no	—
1594	C₂²	—	10	4	no	—
1595	C₂²	—	10	4	no	—
1596	C₂²	—	10	4	no	—
1597	C₂²	—	10	4	no	—
1598	C₂²	—	10	4	no	—
1599	C₂²	—	20	8	no	—
1600	C₂²	—	20	16	no	—
1601	C₂²	—	20	16	no	—
1602	C₂²	—	20	16	no	—
1603	C₂²	C₂×D₅×#41	1	2	yes	—
1604	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1605	C₄	—	2	4	no	—
1606	C₄	—	2	1	no	—
1607	C₄	—	2	4	no	—
1608	C₄	—	2	4	no	—
1609	C₄	—	2	2	no	—
1610	C₄	—	2	4	no	—
1611	C₄	—	5	4	no	—
1612	C₄	—	5	2	no	—
1613	C₄	—	10	4	no	—
1614	C₄	—	10	1	no	—
1615	C₄	—	10	4	no	—
1616	C₄	—	10	4	no	—
1617	C₄	—	10	2	no	—
1618	C₄	—	10	4	no	—
1619	C₄	C₂×D₅×#41	1	4	yes	—
1620	C₄	D₅×H(5,𝔽₂)	1	2	yes	—
1621	C₂	—	2	2	no	—
1622	C₂	—	4	4	no	—
1623	C₂	—	4	4	no	—
1624	C₂	—	5	4	no	—
1625	C₂	—	10	2	no	—
1626	C₂	—	20	4	no	—
1627	C₂	—	20	4	no	—
1628	C₂	C₂²×D₅×#41	1	1	yes	characteristic
1629	C₂	C₂×D₅×H(5,𝔽₂)	1	1	yes	characteristic
1630	C₂	D₅×#585	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₅
commutator, socle, cosocle	C₂²×C₅	C₂⁶
Frattini	C₂²	C₂⁵×D₅
Fitting	C₅×#3460	C₂
hypercenter	#3460	D₅
hypocenter	C₅	C₂×#3460
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₄ ◁ #3460

Complements

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

N	H ≅ G/N	type
1. C₅×#3460	C₂	semidirect
2. D₅×#544	C₂	semidirect
3. #10618483	C₂	semidirect
4. D₅×#542	C₂	semidirect
5. #10618425	C₂	semidirect
6. D₅×#540	C₂	semidirect
7. #10618369	C₂	semidirect
8. D₅×#538	C₂	semidirect
9. #10618290	C₂	semidirect
10. D₅×#537	C₂	semidirect
11. #10618265	C₂	semidirect
12. D₅×#535	C₂	semidirect
13. #10618215	C₂	semidirect
14. #10618138	C₂	semidirect
15. D₅×#532	C₂	semidirect
16. #10618049	C₂	semidirect
17. D₅×#529	C₂	semidirect
18. D₅×#525	C₂	semidirect
19. #10617921	C₂	semidirect
20. #10617739	C₂	semidirect
21. C₄×D₅×#41	C₂	semidirect
22. #10617678	C₂	semidirect
23. C₂×C₄×D₄×D₅	C₂	semidirect
25. C₂×D₅×#41	C₂²	semidirect
28. C₅×#544	C₂²	semidirect
29. C₅×#542	C₂²	semidirect
30. C₅×#540	C₂²	semidirect
31. C₅×#538	C₂²	semidirect
32. C₅×#537	C₂²	semidirect
33. C₅×#535	C₂²	semidirect
34. C₅×#532	C₂²	semidirect
35. C₅×#529	C₂²	semidirect
36. C₅×#525	C₂²	semidirect
37. C₄×C₅×#41	C₂²	semidirect
38. C₂×C₄×C₅×D₄	C₂²	semidirect
39. #66167	C₂²	semidirect
40. #66166	C₂²	semidirect
41. #66164	C₂²	semidirect
42. #66162	C₂²	semidirect
43. #41×Dic₅	C₂²	semidirect
44. #66139	C₂²	semidirect
45. C₂×D₄×Dic₅	C₂²	semidirect
46. #66125	C₂²	semidirect
47. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
48. #66067	C₂²	semidirect
49. #66063	C₂²	semidirect
50. #66059	C₂²	semidirect
51. D₅×C₄⋊Q₈	C₂²	semidirect
52. #66053	C₂²	semidirect
53. #66050	C₂²	semidirect
54. #66049	C₂²	semidirect
56. #66044	C₂²	semidirect
57. #66040	C₂²	semidirect
58. #66038	C₂²	semidirect
59. D₅×#126	C₂²	semidirect
60. #66032	C₂²	semidirect
61. #66025	C₂²	semidirect
62. #66023	C₂²	semidirect
63. D₅×#125	C₂²	semidirect
64. #66016	C₂²	semidirect
65. #66014	C₂²	semidirect
66. #66012	C₂²	semidirect
67. #66008	C₂²	semidirect
69. D₅×#124	C₂²	semidirect
70. #66003	C₂²	semidirect
71. #66002	C₂²	semidirect
72. #65997	C₂²	semidirect
73. #65997	C₂²	semidirect
74. #65996	C₂²	semidirect
75. #65991	C₂²	semidirect
76. #65990	C₂²	semidirect
77. D₅×#123	C₂²	semidirect
78. D₅×#123	C₂²	semidirect
79. #65983	C₂²	semidirect
80. #65978	C₂²	semidirect
81. #65977	C₂²	semidirect
82. #65974	C₂²	semidirect
83. #65963	C₂²	semidirect
84. #65961	C₂²	semidirect
85. #65961	C₂²	semidirect
87. D₅×C₂²⋊Q₈	C₂²	semidirect
88. D₅×C₂²⋊Q₈	C₂²	semidirect
89. #65958	C₂²	semidirect
90. #65957	C₂²	semidirect
91. #65953	C₂²	semidirect
92. #65953	C₂²	semidirect
93. #65951	C₂²	semidirect
94. #65949	C₂²	semidirect
95. #65949	C₂²	semidirect
96. #65947	C₂²	semidirect
97. #65942	C₂²	semidirect
98. #65941	C₂²	semidirect
99. #65941	C₂²	semidirect
100. #65940	C₂²	semidirect
101. #65940	C₂²	semidirect
105. D₅×#121	C₂²	semidirect
106. D₅×#121	C₂²	semidirect
107. D₅×#121	C₂²	semidirect
108. #65937	C₂²	semidirect
109. #65934	C₂²	semidirect
110. #65931	C₂²	semidirect
111. #65930	C₂²	semidirect
112. #65930	C₂²	semidirect
113. #65930	C₂²	semidirect
114. #65927	C₂²	semidirect
115. #65926	C₂²	semidirect
117. #65920	C₂²	semidirect
118. #65916	C₂²	semidirect
119. #65914	C₂²	semidirect
120. C₄×#713	C₂²	semidirect
121. C₄×#713	C₂²	semidirect
122. C₄×Q₈×D₅	C₂²	semidirect
123. C₄×Q₈×D₅	C₂²	semidirect
124. #65896	C₂²	semidirect
125. #65896	C₂²	semidirect
126. #65895	C₂²	semidirect
127. #65894	C₂²	semidirect
128. #65891	C₂²	semidirect
129. #65882	C₂²	semidirect
130. #65882	C₂²	semidirect
131. #65882	C₂²	semidirect
132. #65881	C₂²	semidirect
133. #65881	C₂²	semidirect
138. C₄×D₄×D₅	C₂²	semidirect
139. C₄×D₄×D₅	C₂²	semidirect
140. C₄×D₄×D₅	C₂²	semidirect
141. C₄×D₄×D₅	C₂²	semidirect
142. C₄×D₄×D₅	C₂²	semidirect
143. #65872	C₂²	semidirect
144. C₄×#711	C₂²	semidirect
145. C₄×#711	C₂²	semidirect
146. C₄×#711	C₂²	semidirect
147. C₄×#711	C₂²	semidirect
148. #65869	C₂²	semidirect
149. #65868	C₂²	semidirect
150. #65862	C₂²	semidirect
151. #65859	C₂²	semidirect
152. #65858	C₂²	semidirect
153. #65856	C₂²	semidirect
154. #65856	C₂²	semidirect
156. D₅×#117	C₂²	semidirect
157. D₅×#117	C₂²	semidirect
158. #65853	C₂²	semidirect
159. #65844	C₂²	semidirect
160. C₂×#4039	C₂²	semidirect
162. #65834	C₂²	semidirect
163. #65828	C₂²	semidirect
164. C₂×#4027	C₂²	semidirect
166. #65813	C₂²	semidirect
167. #65811	C₂²	semidirect
168. C₄×#709	C₂²	semidirect
169. C₄×#709	C₂²	semidirect
170. C₂×C₄×D₂₀	C₂²	semidirect
172. C₂×C₄²×D₅	C₂²	semidirect
176. C₂×C₅×#41	C₂³	semidirect
184. C₂×#713	C₂³	semidirect
189. C₂×#711	C₂³	semidirect
190. C₂×#711	C₂³	semidirect
201. C₂×#709	C₂³	semidirect
202. C₂×#709	C₂³	semidirect
218. C₅×C₄⋊Q₈	C₂³	semidirect
220. C₅×#126	C₂³	semidirect
221. C₅×#125	C₂³	semidirect
223. C₅×#124	C₂³	semidirect
224. C₅×#123	C₂³	semidirect
225. C₅×#123	C₂³	semidirect
227. C₅×C₂²⋊Q₈	C₂³	semidirect
228. C₅×C₂²⋊Q₈	C₂³	semidirect
232. C₅×#121	C₂³	semidirect
233. C₅×#121	C₂³	semidirect
234. C₅×#121	C₂³	semidirect
236. C₄×C₅×Q₈	C₂³	semidirect
237. C₄×C₅×Q₈	C₂³	semidirect
242. C₄×C₅×D₄	C₂³	semidirect
243. C₄×C₅×D₄	C₂³	semidirect
244. C₄×C₅×D₄	C₂³	semidirect
246. C₅×#117	C₂³	semidirect
247. C₅×#117	C₂³	semidirect
251. C₂×C₄²×C₅	C₂³	semidirect
255. #4093	C₂³	semidirect
257. #4092	C₂³	semidirect
258. #4092	C₂³	semidirect
259. Q₈×Dic₅	C₂³	semidirect
260. Q₈×Dic₅	C₂³	semidirect
261. #4090	C₂³	semidirect
269. #4085	C₂³	semidirect
270. #4085	C₂³	semidirect
271. #4085	C₂³	semidirect
272. #4085	C₂³	semidirect
276. #4084	C₂³	semidirect
277. #4084	C₂³	semidirect
278. #4084	C₂³	semidirect
283. #4082	C₂³	semidirect
284. #4081	C₂³	semidirect
285. #4081	C₂³	semidirect
290. D₄×Dic₅	C₂³	semidirect
291. D₄×Dic₅	C₂³	semidirect
292. D₄×Dic₅	C₂³	semidirect
296. #4076	C₂³	semidirect
297. #4076	C₂³	semidirect
298. #4076	C₂³	semidirect
299. #4075	C₂³	semidirect
300. #4075	C₂³	semidirect
307. C₄×C₂²⋊D₅	C₂³	semidirect
308. C₄×C₂²⋊D₅	C₂³	semidirect
309. C₄×C₂²⋊D₅	C₂³	semidirect
310. C₄×C₂²⋊D₅	C₂³	semidirect
314. #4072	C₂³	semidirect
315. #4072	C₂³	semidirect
318. #4070	C₂³	semidirect
319. #4070	C₂³	semidirect
324. C₂×C₄×Dic₅	C₂³	semidirect
325. C₂×C₄×Dic₅	C₂³	semidirect
326. C₂×C₄×Dic₅	C₂³	semidirect
327. #4044	C₂³	semidirect
328. #4044	C₂³	semidirect
329. #4044	C₂³	semidirect
331. #4043	C₂³	semidirect
332. #4043	C₂³	semidirect
334. #4042	C₂³	semidirect
335. #4042	C₂³	semidirect
339. #4041	C₂³	semidirect
340. #4041	C₂³	semidirect
341. #4041	C₂³	semidirect
342. #4040	C₂³	semidirect
343. #4040	C₂³	semidirect
344. #4040	C₂³	semidirect
345. #4040	C₂³	semidirect
350. #4039	C₂³	semidirect
351. #4039	C₂³	semidirect
352. #4039	C₂³	semidirect
355. #4038	C₂³	semidirect
356. #4038	C₂³	semidirect
357. #4038	C₂³	semidirect
358. #4038	C₂³	semidirect
368. #4036	C₂³	semidirect
369. #4036	C₂³	semidirect
370. #4035	C₂³	semidirect
371. #4035	C₂³	semidirect
372. #4034	C₂³	semidirect
373. #4034	C₂³	semidirect
374. #4034	C₂³	semidirect
375. #4033	C₂³	semidirect
376. #4033	C₂³	semidirect
377. #4033	C₂³	semidirect
378. #4033	C₂³	semidirect
379. #4032	C₂³	semidirect
380. #4032	C₂³	semidirect
383. #4031	C₂³	semidirect
384. #4031	C₂³	semidirect
385. #4031	C₂³	semidirect
386. #4031	C₂³	semidirect
390. #4030	C₂³	semidirect
391. #4030	C₂³	semidirect
392. #4030	C₂³	semidirect
393. #4030	C₂³	semidirect
394. #4029	C₂³	semidirect
395. #4029	C₂³	semidirect
396. #4029	C₂³	semidirect
397. #4029	C₂³	semidirect
407. #4027	C₂³	semidirect
408. #4027	C₂³	semidirect
409. #4027	C₂³	semidirect
410. #4027	C₂³	semidirect
419. #4025	C₂³	semidirect
420. #4025	C₂³	semidirect
421. #4025	C₂³	semidirect
423. #4024	C₂³	semidirect
424. #4024	C₂³	semidirect
426. #4023	C₂³	semidirect
427. #4023	C₂³	semidirect
428. #4023	C₂³	semidirect
429. #4022	C₂³	semidirect
431. #4021	C₂³	semidirect
437. C₄×D₂₀	C₂³	semidirect
438. C₄×D₂₀	C₂³	semidirect
439. C₄×D₂₀	C₂³	semidirect
441. #4018	C₂³	semidirect
442. #4018	C₂³	semidirect
443. #4018	C₂³	semidirect
451. C₄²×D₅	C₂³	semidirect
452. C₄²×D₅	C₂³	semidirect
453. C₄²×D₅	C₂³	semidirect
454. C₄²×D₅	C₂³	semidirect
455. #4016	C₂³	semidirect
456. #4015	C₂³	semidirect
457. C₄×Dic₁₀	C₂³	semidirect
458. C₄×Dic₁₀	C₂³	semidirect
459. C₄×Dic₁₀	C₂³	semidirect
460. C₄×Dic₁₀	C₂³	semidirect
472. #3460	D₅	direct (N × H)
572. C₂×C₄×D₅	#41	semidirect
684. #544	C₂×D₅	semidirect
696. #542	C₂×D₅	semidirect
708. #540	C₂×D₅	semidirect
718. #538	C₂×D₅	semidirect
724. #537	C₂×D₅	semidirect
733. #535	C₂×D₅	semidirect
745. #532	C₂×D₅	semidirect
759. #529	C₂×D₅	semidirect
775. #525	C₂×D₅	semidirect
799. C₄×#41	C₂×D₅	semidirect
816. C₂×C₄×D₄	C₂×D₅	semidirect
866. C₂×C₄×C₅	C₂×#41	semidirect
892. C₂×Dic₅	C₂×#41	semidirect
928. C₄×D₅	C₂×#41	semidirect
948. C₂×#41	C₂²×D₅	semidirect
983. C₄⋊Q₈	C₂²×D₅	semidirect
997. #126	C₂²×D₅	semidirect
1003. #125	C₂²×D₅	semidirect
1017. #124	C₂²×D₅	semidirect
1032. #123	C₂²×D₅	semidirect
1033. #123	C₂²×D₅	semidirect
1050. C₂²⋊Q₈	C₂²×D₅	semidirect
1051. C₂²⋊Q₈	C₂²×D₅	semidirect
1087. #121	C₂²×D₅	semidirect
1088. #121	C₂²×D₅	semidirect
1089. #121	C₂²×D₅	semidirect
1108. C₄×Q₈	C₂²×D₅	semidirect
1109. C₄×Q₈	C₂²×D₅	semidirect
1155. C₄×D₄	C₂²×D₅	semidirect
1156. C₄×D₄	C₂²×D₅	semidirect
1157. C₄×D₄	C₂²×D₅	semidirect
1176. #117	C₂²×D₅	semidirect
1177. #117	C₂²×D₅	semidirect
1220. C₂×C₄²	C₂²×D₅	semidirect
1465. D₅	#3460	direct (N × H)
1567. C₂×C₄	D₅×#41	semidirect
1576. C₅	C₂×#3460	semidirect

Maximal subgroups

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

subgroup	index
C₅×#3460	2
D₅×#544	2
#10618483	2
D₅×#542	2
#10618425	2
D₅×#540	2
#10618369	2
D₅×#538	2
#10618290	2
D₅×#537	2
#10618265	2
D₅×#535	2
#10618215	2
#10618138	2
D₅×#532	2
#10618049	2
D₅×#529	2
D₅×#525	2
#10617921	2
#10617739	2
C₄×D₅×#41	2
#10617678	2
C₂×C₄×D₄×D₅	2
C₂×#3460	5

Subgroups — D5×#3460 #13006091

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅×#3460 #13006091