Subgroups — #13007335

Order 1280.

7998 conjugacy classes of subgroups.

The subgroup lattice has 1190 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3501	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618834	C₂	1	4	yes	maximal, complemented
3	#10618830	C₂	1	8	yes	maximal, complemented
4	#10618825	C₂	1	8	yes	maximal, complemented
5	#10618823	C₂	1	4	yes	maximal, complemented
6	#10618652	C₂	1	4	yes	maximal, complemented
7	D₄×#713	C₂	1	4	yes	maximal, complemented
8	#10618497	C₂	1	2	yes	maximal, complemented
9	#10618483	C₂	1	2	yes	maximal, complemented
10	#10618480	C₂	1	4	yes	maximal, complemented
11	#10618473	C₂	1	4	yes	maximal, complemented
12	#10618160	C₂	1	2	yes	maximal, complemented
13	#10618158	C₂	1	2	yes	maximal, complemented
14	#10617872	C₂	1	4	yes	maximal, complemented
15	C₂×#65961	C₂	1	4	yes	maximal, complemented
16	#10617768	C₂	1	2	yes	maximal, complemented
17	#10617758	C₂	1	2	yes	maximal, complemented
18	#10617687	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₄×D₄×D₅	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×#713	C₂²	1	4	yes	complemented
21	C₂×#4144	C₂²	1	2	yes	—
22	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
23	C₂³×C₄×D₅	C₂²	1	2	yes	complemented
24	C₅×#554	C₂²	1	4	yes	complemented
25	C₅×#554	C₂²	1	8	yes	complemented
26	C₅×D₄×Q₈	C₂²	1	4	yes	complemented
27	C₅×#544	C₂²	1	2	yes	complemented
28	C₅×#543	C₂²	1	4	yes	complemented
29	C₅×#533	C₂²	1	2	yes	complemented
30	C₂×C₅×C₂²⋊Q₈	C₂²	1	4	yes	complemented
31	C₅×#518	C₂²	1	2	yes	—
32	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
33	#66151	C₂²	1	8	yes	complemented
34	C₂×#4092	C₂²	1	4	yes	complemented
35	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic
36	C₂×#4076	C₂²	1	4	yes	complemented
37	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
38	#66068	C₂²	1	4	yes	complemented
39	#66067	C₂²	1	8	yes	complemented
40	#66064	C₂²	1	8	yes	complemented
41	#66062	C₂²	1	2	yes	complemented
42	#66062	C₂²	1	2	yes	complemented
43	#66060	C₂²	1	8	yes	complemented
44	#66060	C₂²	1	4	yes	complemented
45	#66059	C₂²	1	2	yes	complemented
46	#66059	C₂²	1	2	yes	complemented
47	#66059	C₂²	1	8	yes	complemented
48	#66032	C₂²	1	8	yes	complemented
49	#66029	C₂²	1	8	yes	complemented
50	#66029	C₂²	1	8	yes	complemented
51	#66028	C₂²	1	8	yes	complemented
52	#66025	C₂²	1	4	yes	complemented
53	#66025	C₂²	1	4	yes	complemented
54	#66025	C₂²	1	8	yes	complemented
55	#65979	C₂²	1	8	yes	complemented
56	#65979	C₂²	1	16	yes	complemented
57	#65978	C₂²	1	8	yes	complemented
58	#65978	C₂²	1	8	yes	complemented
59	#65978	C₂²	1	16	yes	complemented
60	#65976	C₂²	1	8	yes	complemented
61	#65971	C₂²	1	16	yes	complemented
62	#65971	C₂²	1	16	yes	complemented
63	#65971	C₂²	1	16	yes	complemented
64	#65964	C₂²	1	16	yes	complemented
65	#65964	C₂²	1	16	yes	complemented
66	#65964	C₂²	1	8	yes	complemented
67	#65961	C₂²	1	4	yes	complemented
68	#65961	C₂²	1	8	yes	complemented
69	#65961	C₂²	1	4	yes	complemented
70	#65961	C₂²	1	8	yes	complemented
71	#65961	C₂²	1	8	yes	complemented
72	#65961	C₂²	1	8	yes	complemented
73	#65961	C₂²	1	8	yes	complemented
74	#65961	C₂²	1	8	yes	complemented
75	#65961	C₂²	1	8	yes	complemented
76	#65961	C₂²	1	16	yes	complemented
77	#65958	C₂²	1	4	yes	complemented
78	#65958	C₂²	1	4	yes	complemented
79	#65958	C₂²	1	16	yes	complemented
80	#65919	C₂²	1	8	yes	complemented
81	#65918	C₂²	1	4	yes	complemented
82	#65914	C₂²	1	4	yes	complemented
83	#65914	C₂²	1	4	yes	complemented
84	#65911	C₂²	1	4	yes	complemented
85	C₄×#713	C₂²	1	4	yes	complemented
86	C₄×#713	C₂²	1	4	yes	complemented
87	#65889	C₂²	1	4	yes	complemented
88	#65888	C₂²	1	8	yes	complemented
89	#65888	C₂²	1	8	yes	complemented
90	#65888	C₂²	1	8	yes	complemented
91	D₄×D₂₀	C₂²	1	8	yes	complemented
92	D₄×D₂₀	C₂²	1	8	yes	complemented
93	D₄×D₂₀	C₂²	1	4	yes	complemented
94	#65880	C₂²	1	8	yes	complemented
95	#65879	C₂²	1	8	yes	complemented
96	C₄×D₄×D₅	C₂²	1	4	yes	complemented
97	C₄×D₄×D₅	C₂²	1	4	yes	complemented
98	C₄×D₄×D₅	C₂²	1	4	yes	complemented
99	C₄×D₄×D₅	C₂²	1	4	yes	complemented
100	C₄×D₄×D₅	C₂²	1	8	yes	complemented
101	C₄×#711	C₂²	1	8	yes	complemented
102	#65859	C₂²	1	4	yes	complemented
103	#65858	C₂²	1	4	yes	complemented
104	#65857	C₂²	1	4	yes	complemented
105	#65856	C₂²	1	4	yes	complemented
106	#65848	C₂²	1	8	yes	complemented
107	#65848	C₂²	1	16	yes	complemented
108	#65844	C₂²	1	2	yes	complemented
109	C₂×#4041	C₂²	1	4	yes	complemented
110	C₂×#4040	C₂²	1	8	yes	complemented
111	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
112	C₂×#4039	C₂²	1	8	yes	complemented
113	C₂×#4038	C₂²	1	4	yes	complemented
114	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
115	#65827	C₂²	1	8	yes	complemented
116	#65827	C₂²	1	4	yes	complemented
117	C₂×#4028	C₂²	1	8	yes	complemented
118	#65820	C₂²	1	8	yes	complemented
119	C₂×#4027	C₂²	1	2	yes	complemented
120	C₂×#4027	C₂²	1	8	yes	complemented
121	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
122	#65811	C₂²	1	2	yes	complemented
123	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
125	#62773	—	5	1	no	maximal, Sylow
126	C₂⁴×D₅	C₂³	1	2	yes	—
127	C₂²×C₅×Q₈	C₂³	1	4	yes	complemented
128	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
129	C₂³×C₄×C₅	C₂³	1	2	yes	—
130	C₂²×C₂²⋊D₅	C₂³	1	8	yes	—
131	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
132	C₂³×Dic₅	C₂³	1	2	yes	—
133	C₂×#713	—	4	16	no	—
134	C₂×#713	C₂³	1	4	yes	—
135	C₂×#713	C₂³	1	4	yes	—
136	C₂×#713	C₂³	1	8	yes	—
137	C₂×#713	C₂³	1	8	yes	complemented
138	C₂×#713	C₂³	1	8	yes	complemented
139	#4144	—	2	16	no	—
140	C₂×#711	C₂³	1	8	yes	—
141	C₂×D₄×D₅	—	2	8	no	—
142	C₂×D₄×D₅	C₂³	1	4	yes	—
143	C₂×D₄×D₅	C₂³	1	4	yes	—
144	C₂×D₄×D₅	C₂³	1	8	yes	—
145	C₂×#709	C₂³	1	4	yes	—
146	C₂²×D₂₀	C₂³	1	1	yes	characteristic
147	C₂²×D₂₀	C₂³	1	8	yes	—
148	C₂²×D₂₀	C₂³	1	8	yes	—
149	C₂²×D₂₀	C₂³	1	4	yes	complemented
150	C₂²×C₄×D₅	—	4	8	no	—
151	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
152	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
153	C₂²×C₄×D₅	C₂³	1	4	yes	—
154	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
155	C₂²×C₄×D₅	C₂³	1	2	yes	—
156	C₂²×C₄×D₅	C₂³	1	2	yes	—
157	C₂²×C₄×D₅	C₂³	1	2	yes	—
158	C₂²×C₄×D₅	C₂³	1	4	yes	—
159	C₂²×C₄×D₅	C₂³	1	4	yes	—
160	C₂²×C₄×D₅	C₂³	1	4	yes	—
161	C₂²×C₄×D₅	C₂³	1	8	yes	complemented
162	C₅×C₄⋊Q₈	C₂³	1	2	yes	complemented
163	C₅×C₄⋊Q₈	C₂³	1	8	yes	complemented
164	C₅×C₄⋊Q₈	C₂³	1	2	yes	complemented
165	C₅×#125	C₂³	1	4	yes	complemented
166	C₅×#125	C₂³	1	8	yes	complemented
167	C₅×C₂²⋊Q₈	C₂³	1	4	yes	—
168	C₅×C₂²⋊Q₈	C₂³	1	8	yes	—
169	C₅×C₂²⋊Q₈	C₂³	1	4	yes	—
170	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
171	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
172	C₅×C₂²⋊Q₈	C₂³	1	16	yes	complemented
173	C₅×C₂²⋊Q₈	C₂³	1	16	yes	complemented
174	C₄×C₅×Q₈	C₂³	1	4	yes	complemented
175	C₄×C₅×Q₈	C₂³	1	4	yes	complemented
176	C₄×C₅×D₄	C₂³	1	8	yes	—
177	C₄×C₅×D₄	C₂³	1	4	yes	—
178	C₄×C₅×D₄	C₂³	1	4	yes	—
179	C₄×C₅×D₄	C₂³	1	8	yes	—
180	C₅×#117	C₂³	1	4	yes	—
181	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
182	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	complemented
183	C₂×C₅×C₄⋊C₄	C₂³	1	8	yes	complemented
184	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
185	C₂×C₅×C₂²⋊C₄	C₂³	1	8	yes	—
186	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
187	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
188	#4093	C₂³	1	16	yes	complemented
189	#4093	C₂³	1	4	yes	complemented
190	#4093	C₂³	1	4	yes	complemented
191	#4093	C₂³	1	16	yes	complemented
192	#4092	C₂³	1	4	yes	—
193	#4092	C₂³	1	4	yes	—
194	#4092	C₂³	1	8	yes	—
195	#4092	C₂³	1	16	yes	complemented
196	#4092	C₂³	1	8	yes	complemented
197	#4092	C₂³	1	8	yes	complemented
198	Q₈×Dic₅	C₂³	1	4	yes	complemented
199	Q₈×Dic₅	C₂³	1	4	yes	complemented
200	D₄×Dic₅	C₂³	1	4	yes	—
201	D₄×Dic₅	C₂³	1	4	yes	—
202	#4076	C₂³	1	4	yes	—
203	#4076	C₂³	1	4	yes	—
204	#4076	C₂³	1	8	yes	—
205	#4076	C₂³	1	16	yes	—
206	#4076	C₂³	1	16	yes	—
207	#4076	C₂³	1	8	yes	complemented
208	#4076	C₂³	1	8	yes	complemented
209	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
210	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
211	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
212	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
213	C₂×#685	C₂³	1	2	yes	—
214	C₂×#685	C₂³	1	2	yes	—
215	C₂×#685	C₂³	1	8	yes	—
216	C₂×#685	C₂³	1	8	yes	—
217	C₂×#685	C₂³	1	8	yes	complemented
218	C₂×#685	C₂³	1	8	yes	complemented
219	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₅	C₂³	1	4	yes	complemented
221	C₂×#683	C₂³	1	2	yes	—
222	C₂×#683	C₂³	1	8	yes	complemented
223	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
224	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
225	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
226	C₂×C₄×Dic₅	C₂³	1	8	yes	complemented
227	#4044	C₂³	1	16	yes	complemented
228	#4044	C₂³	1	8	yes	complemented
229	#4044	C₂³	1	16	yes	complemented
230	#4044	C₂³	1	8	yes	complemented
231	#4044	C₂³	1	16	yes	complemented
232	#4043	C₂³	1	4	yes	—
233	#4043	C₂³	1	4	yes	—
234	#4043	C₂³	1	8	yes	complemented
235	#4041	C₂³	1	4	yes	—
236	#4041	C₂³	1	8	yes	—
237	#4041	C₂³	1	4	yes	—
238	#4041	C₂³	1	4	yes	—
239	#4041	C₂³	1	4	yes	—
240	#4041	C₂³	1	8	yes	—
241	#4041	C₂³	1	8	yes	—
242	#4041	C₂³	1	8	yes	complemented
243	#4041	C₂³	1	16	yes	complemented
244	#4041	C₂³	1	8	yes	complemented
245	#4041	C₂³	1	8	yes	complemented
246	#4041	C₂³	1	16	yes	complemented
247	#4040	C₂³	1	16	yes	—
248	#4040	C₂³	1	8	yes	—
249	#4040	C₂³	1	8	yes	—
250	#4040	C₂³	1	16	yes	complemented
251	#4040	C₂³	1	16	yes	complemented
252	#4040	C₂³	1	16	yes	complemented
253	#4040	C₂³	1	16	yes	complemented
254	#4040	C₂³	1	16	yes	complemented
255	#4039	C₂³	1	4	yes	—
256	#4039	C₂³	1	16	yes	—
257	#4039	C₂³	1	4	yes	—
258	#4039	C₂³	1	8	yes	—
259	#4039	C₂³	1	8	yes	—
260	#4039	C₂³	1	4	yes	complemented
261	#4039	C₂³	1	16	yes	complemented
262	#4039	C₂³	1	4	yes	complemented
263	#4039	C₂³	1	4	yes	complemented
264	#4039	C₂³	1	4	yes	complemented
265	#4039	C₂³	1	16	yes	complemented
266	#4038	C₂³	1	4	yes	—
267	#4038	C₂³	1	4	yes	—
268	#4038	C₂³	1	8	yes	—
269	#4038	C₂³	1	8	yes	complemented
270	#4038	C₂³	1	8	yes	complemented
271	#4038	C₂³	1	8	yes	complemented
272	#4038	C₂³	1	8	yes	complemented
273	#4038	C₂³	1	8	yes	complemented
274	D₅×C₄⋊C₄	C₂³	1	4	yes	—
275	D₅×C₄⋊C₄	C₂³	1	4	yes	—
276	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
277	#4036	C₂³	1	4	yes	complemented
278	#4036	C₂³	1	4	yes	complemented
279	#4036	C₂³	1	16	yes	complemented
280	#4033	C₂³	1	4	yes	complemented
281	#4033	C₂³	1	4	yes	complemented
282	#4032	C₂³	1	8	yes	—
283	#4032	C₂³	1	16	yes	—
284	#4032	C₂³	1	16	yes	complemented
285	#4028	C₂³	1	8	yes	—
286	#4028	C₂³	1	16	yes	—
287	#4028	C₂³	1	16	yes	—
288	#4028	C₂³	1	16	yes	—
289	#4028	C₂³	1	16	yes	—
290	#4028	C₂³	1	16	yes	complemented
291	#4027	C₂³	1	8	yes	—
292	#4027	C₂³	1	16	yes	—
293	#4027	C₂³	1	8	yes	—
294	#4027	C₂³	1	8	yes	—
295	#4027	C₂³	1	8	yes	—
296	#4027	C₂³	1	16	yes	complemented
297	#4027	C₂³	1	16	yes	complemented
298	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
299	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
300	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
301	#4023	C₂³	1	16	yes	complemented
302	#4021	C₂³	1	8	yes	—
303	#4021	C₂³	1	4	yes	complemented
304	#4020	C₂³	1	8	yes	—
305	#4020	C₂³	1	2	yes	complemented
306	C₄×D₂₀	C₂³	1	4	yes	—
307	C₄×D₂₀	C₂³	1	8	yes	—
308	C₄×D₂₀	C₂³	1	4	yes	—
309	C₄×D₂₀	C₂³	1	8	yes	—
310	C₄×D₂₀	C₂³	1	4	yes	complemented
311	C₄×D₂₀	C₂³	1	8	yes	complemented
312	C₄×D₂₀	C₂³	1	4	yes	complemented
313	#4018	C₂³	1	8	yes	complemented
314	C₄²×D₅	C₂³	1	2	yes	—
315	C₄²×D₅	C₂³	1	2	yes	—
316	C₄²×D₅	C₂³	1	2	yes	—
317	C₄²×D₅	C₂³	1	2	yes	—
318	C₄²×D₅	C₂³	1	8	yes	complemented
319	#4015	C₂³	1	2	yes	complemented
320	C₄×Dic₁₀	C₂³	1	8	yes	complemented
321	#3520	—	5	4	no	—
322	#3519	—	5	4	no	—
323	#3513	—	5	8	no	—
324	#3506	—	5	2	no	—
325	#3505	—	5	4	no	—
326	#3501	D₅	1	1	yes	characteristic, complemented
327	#3496	—	5	1	no	—
328	#3492	—	5	2	no	—
329	#3490	—	5	4	no	—
330	#3484	—	5	2	no	—
331	#3481	—	5	8	no	—
332	#3475	—	5	4	no	—
333	D₄×#41	—	5	4	no	—
334	#3460	—	5	2	no	—
335	#3459	—	5	4	no	—
336	#3444	—	5	2	no	—
337	C₂×#525	—	5	4	no	—
338	C₄×H(5,𝔽₂)	—	5	2	no	—
339	C₂²×C₄×D₄	—	5	1	no	—
340	C₂⁴×C₅	C₂⁴	1	2	yes	—
341	C₂³×D₅	—	2	8	no	—
342	C₂³×D₅	—	4	4	no	—
343	C₂³×D₅	—	4	4	no	—
344	C₂³×D₅	C₂⁴	1	1	yes	characteristic
345	C₂³×D₅	C₂⁴	1	4	yes	—
346	C₂³×D₅	C₂⁴	1	4	yes	—
347	C₂³×D₅	C₂⁴	1	2	yes	—
348	C₂³×D₅	C₂⁴	1	8	yes	—
349	C₂×C₅×Q₈	—	4	8	no	—
350	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
351	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
352	C₂×C₅×Q₈	C₂⁴	1	8	yes	—
353	C₂×C₅×D₄	#41	1	8	yes	complemented
354	C₂×C₅×D₄	C₂⁴	1	4	yes	—
355	C₂²×C₄×C₅	—	4	4	no	—
356	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
357	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
358	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
360	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
361	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
362	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
363	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
364	C₂×C₂²⋊D₅	—	2	8	no	—
365	C₂×C₂²⋊D₅	—	2	32	no	—
366	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
367	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
368	C₂×C₂²⋊D₅	C₂⁴	1	16	yes	—
369	C₂²×Dic₅	—	4	4	no	—
370	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
371	C₂²×Dic₅	C₂⁴	1	4	yes	—
372	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
373	C₂²×Dic₅	C₂⁴	1	8	yes	—
374	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
375	C₂²×Dic₅	C₂⁴	1	2	yes	—
376	C₂²×Dic₅	C₂⁴	1	4	yes	—
377	#713	—	2	16	no	—
378	#713	—	4	16	no	—
379	#713	—	4	16	no	—
380	#713	—	4	8	no	—
381	#713	—	4	16	no	—
382	#711	—	2	32	no	—
383	D₄×D₅	—	2	16	no	—
384	D₄×D₅	—	2	16	no	—
385	D₄×D₅	—	2	32	no	—
386	#709	—	2	16	no	—
387	C₂×D₂₀	—	2	4	no	—
388	C₂×D₂₀	—	4	8	no	—
389	C₂×D₂₀	—	4	16	no	—
390	C₂×D₂₀	—	4	16	no	—
391	C₂×D₂₀	C₂⁴	1	8	yes	—
392	C₂×D₂₀	C₂⁴	1	8	yes	—
393	C₂×D₂₀	C₂⁴	1	4	yes	—
394	C₂×D₂₀	C₂⁴	1	4	yes	—
395	C₂×D₂₀	C₂⁴	1	4	yes	—
396	C₂×D₂₀	C₂⁴	1	16	yes	—
397	C₂×D₂₀	C₂⁴	1	16	yes	—
398	C₂×D₂₀	C₂⁴	1	8	yes	—
399	C₂×D₂₀	C₂⁴	1	4	yes	—
400	C₂×C₄×D₅	—	2	4	no	—
401	C₂×C₄×D₅	—	2	4	no	—
402	C₂×C₄×D₅	—	2	16	no	—
403	C₂×C₄×D₅	—	4	8	no	—
404	C₂×C₄×D₅	—	4	4	no	—
405	C₂×C₄×D₅	—	4	16	no	—
406	C₂×C₄×D₅	—	4	8	no	—
407	C₂×C₄×D₅	—	4	4	no	—
408	C₂×C₄×D₅	—	4	8	no	—
409	C₂×C₄×D₅	—	4	4	no	—
410	C₂×C₄×D₅	—	4	2	no	—
411	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
412	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
413	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
414	C₂×C₄×D₅	C₂⁴	1	4	yes	—
415	C₂×C₄×D₅	C₂⁴	1	4	yes	—
416	C₂×C₄×D₅	C₂⁴	1	4	yes	—
417	C₂×C₄×D₅	C₂⁴	1	2	yes	—
418	C₂×C₄×D₅	C₂⁴	1	2	yes	—
419	C₂×C₄×D₅	C₂⁴	1	2	yes	—
420	C₂×C₄×D₅	C₂⁴	1	8	yes	—
421	C₂×C₄×D₅	C₂⁴	1	8	yes	—
422	C₂×C₄×D₅	C₂⁴	1	4	yes	—
423	C₂×C₄×D₅	C₂⁴	1	4	yes	—
424	C₂×C₄×D₅	C₂⁴	1	4	yes	—
425	C₂×C₄×D₅	C₂⁴	1	2	yes	—
426	C₂×C₄×D₅	C₂⁴	1	16	yes	—
427	C₂×C₄×D₅	C₂⁴	1	8	yes	—
428	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
429	C₂×Dic₁₀	C₂⁴	1	4	yes	—
430	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
431	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
432	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
433	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
434	C₅×C₄⋊C₄	C₂⁴	1	16	yes	—
435	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
436	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
437	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
438	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
439	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
440	C₅×C₂²⋊C₄	C₂⁴	1	16	yes	—
441	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
442	C₄²×C₅	C₂⁴	1	2	yes	—
443	C₄²×C₅	C₂⁴	1	2	yes	—
444	C₄²×C₅	C₂⁴	1	8	yes	—
445	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
446	#685	C₂⁴	1	8	yes	—
447	#685	C₂⁴	1	8	yes	—
448	#685	C₂⁴	1	8	yes	—
449	#685	C₂⁴	1	8	yes	—
450	#685	C₂⁴	1	8	yes	—
451	#685	C₂⁴	1	8	yes	—
452	#685	C₂⁴	1	8	yes	—
453	#685	C₂⁴	1	8	yes	—
454	#685	C₂⁴	1	8	yes	—
455	#685	C₂⁴	1	16	yes	—
456	#685	C₂⁴	1	16	yes	—
457	#685	C₂⁴	1	16	yes	—
458	#685	C₂⁴	1	8	yes	—
459	#685	C₂⁴	1	16	yes	—
460	C₄⋊Dic₅	C₂⁴	1	4	yes	—
461	C₄⋊Dic₅	C₂⁴	1	4	yes	—
462	C₄⋊Dic₅	C₂⁴	1	4	yes	—
463	C₄⋊Dic₅	C₂⁴	1	8	yes	—
464	C₄⋊Dic₅	C₂⁴	1	8	yes	—
465	C₄⋊Dic₅	C₂⁴	1	8	yes	—
466	#683	C₂⁴	1	16	yes	—
467	#683	C₂⁴	1	8	yes	—
468	#683	C₂⁴	1	8	yes	—
469	#683	C₂⁴	1	8	yes	—
470	C₄×Dic₅	C₂⁴	1	16	yes	—
471	C₄×Dic₅	C₂⁴	1	2	yes	—
472	C₄×Dic₅	C₂⁴	1	2	yes	—
473	C₄×Dic₅	C₂⁴	1	2	yes	—
474	C₄×Dic₅	C₂⁴	1	2	yes	—
475	C₄×Dic₅	C₂⁴	1	2	yes	—
476	C₄×Dic₅	C₂⁴	1	2	yes	—
477	C₄×Dic₅	C₂⁴	1	8	yes	—
478	C₄×Dic₅	C₂⁴	1	8	yes	—
479	C₂×H(5,𝔽₂)	—	5	2	no	—
480	C₂²×#41	—	5	4	no	—
481	C₂³×D₄	—	5	1	no	—
482	C₂⁴×C₄	—	5	2	no	—
483	#559	—	5	8	no	—
484	#556	—	5	4	no	—
485	#555	—	5	4	no	—
486	#554	—	5	8	no	—
487	#554	C₂×D₅	1	4	yes	complemented
488	#554	C₂×D₅	1	8	yes	complemented
489	#553	—	5	8	no	—
490	#553	—	5	8	no	—
491	#553	—	5	8	no	—
492	#553	—	5	16	no	—
493	#552	—	5	8	no	—
494	#552	—	5	8	no	—
495	#551	—	5	16	no	—
496	#551	—	5	16	no	—
497	#551	—	5	16	no	—
498	#550	—	5	4	no	—
499	D₄×Q₈	C₂×D₅	1	4	yes	complemented
500	#548	—	5	8	no	—
501	#547	—	5	8	no	—
502	#547	—	5	4	no	—
503	#547	—	5	4	no	—
504	#546	—	5	16	no	—
505	#546	—	5	8	no	—
506	#546	—	5	16	no	—
507	#546	—	5	8	no	—
508	#546	—	5	8	no	—
509	#546	—	5	8	no	—
510	D₄²	—	5	8	no	—
511	D₄²	—	5	4	no	—
512	D₄²	—	5	8	no	—
513	#544	C₂×D₅	1	2	yes	complemented
514	#543	C₂×D₅	1	4	yes	complemented
515	#542	—	5	8	no	—
516	#540	—	5	8	no	—
517	#539	—	5	8	no	—
518	#539	—	5	16	no	—
519	#538	—	5	8	no	—
520	#538	—	5	8	no	—
521	#538	—	5	16	no	—
522	#537	—	5	2	no	—
523	#535	—	5	4	no	—
524	#534	—	5	8	no	—
525	#534	—	5	4	no	—
526	#533	—	5	2	no	—
527	#533	—	5	2	no	—
528	#533	C₂×D₅	1	2	yes	complemented
529	#532	—	5	2	no	—
530	#532	—	5	2	no	—
531	#532	—	5	8	no	—
532	#532	—	5	2	no	—
533	#529	—	5	4	no	—
534	#529	—	5	4	no	—
535	#529	—	5	8	no	—
536	#529	—	5	4	no	—
537	#529	—	5	4	no	—
538	#529	—	5	16	no	—
539	#529	—	5	4	no	—
540	#529	—	5	4	no	—
541	#525	—	5	4	no	—
542	#525	—	5	8	no	—
543	#525	—	5	8	no	—
544	#525	—	5	8	no	—
545	#525	—	5	4	no	—
546	#525	—	5	8	no	—
547	#525	—	5	8	no	—
548	#525	—	5	8	no	—
549	#525	—	5	8	no	—
550	#525	—	5	16	no	—
551	#525	—	5	4	no	—
552	C₂×#123	—	5	8	no	—
553	C₂×C₂²⋊Q₈	—	5	4	no	—
554	C₂×C₂²⋊Q₈	C₂×D₅	1	4	yes	complemented
555	C₂×#121	—	5	4	no	—
556	C₂×#121	—	5	4	no	—
557	C₂×#120	—	5	8	no	—
558	#520	—	5	8	no	—
559	#520	—	5	4	no	—
560	#518	—	5	8	no	—
561	#518	—	5	8	no	—
562	#518	C₂×D₅	1	2	yes	—
563	C₄×#41	—	5	4	no	—
564	C₄×#41	—	5	4	no	—
565	C₄×#41	—	5	8	no	—
566	C₄×#41	—	5	4	no	—
567	C₂×C₄×D₄	—	5	1	no	—
568	C₂×C₄×D₄	—	5	2	no	—
569	C₂×C₄×D₄	—	5	4	no	—
570	C₂×C₄×D₄	—	5	4	no	—
571	C₂×C₄×D₄	—	5	4	no	—
572	C₂×C₄×D₄	—	5	4	no	—
573	C₂×C₄×D₄	—	5	8	no	—
574	C₂×C₄×D₄	—	5	1	no	—
575	C₂×C₄×D₄	—	5	8	no	—
576	C₂×C₄×D₄	—	5	2	no	—
577	C₂×C₄×D₄	—	5	8	no	—
578	C₂×C₄×D₄	—	5	1	no	—
579	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic
580	C₂×#117	—	5	4	no	—
581	C₂²×C₄⋊C₄	—	5	1	no	—
582	C₂²×C₂²⋊C₄	—	5	2	no	—
583	C₂²×C₄²	—	5	1	no	—
584	C₂³×C₅	—	4	2	no	—
585	C₂³×C₅	—	4	2	no	—
586	C₂³×C₅	C₂×#41	1	8	yes	complemented
587	C₂³×C₅	C₂⁵	1	4	yes	—
588	C₂³×C₅	C₂⁵	1	1	yes	characteristic
589	C₂²×D₅	—	2	2	no	—
590	C₂²×D₅	—	2	2	no	—
591	C₂²×D₅	—	2	2	no	—
592	C₂²×D₅	—	2	4	no	—
593	C₂²×D₅	—	2	8	no	—
594	C₂²×D₅	—	2	8	no	—
595	C₂²×D₅	—	2	16	no	—
596	C₂²×D₅	—	2	8	no	—
597	C₂²×D₅	—	2	8	no	—
598	C₂²×D₅	—	4	4	no	—
599	C₂²×D₅	—	4	2	no	—
600	C₂²×D₅	—	4	4	no	—
601	C₂²×D₅	—	4	2	no	—
602	C₂²×D₅	—	4	8	no	—
603	C₂²×D₅	—	4	8	no	—
604	C₂²×D₅	—	4	32	no	—
605	C₂²×D₅	C₂⁵	1	4	yes	—
606	C₂²×D₅	C₂⁵	1	8	yes	—
607	C₂²×D₅	C₂⁵	1	1	yes	characteristic
608	C₂²×D₅	C₂⁵	1	1	yes	characteristic
609	C₅×Q₈	—	2	8	no	—
610	C₅×Q₈	—	4	8	no	—
611	C₅×Q₈	—	4	4	no	—
612	C₅×D₄	C₂×#41	1	16	yes	complemented
613	C₂×C₄×C₅	—	2	2	no	—
614	C₂×C₄×C₅	—	2	8	no	—
615	C₂×C₄×C₅	—	4	4	no	—
616	C₂×C₄×C₅	—	4	2	no	—
617	C₂×C₄×C₅	—	4	8	no	—
618	C₂×C₄×C₅	—	4	1	no	—
619	C₂×C₄×C₅	—	4	8	no	—
620	C₂×C₄×C₅	C₂×#41	1	4	yes	complemented
621	C₂×C₄×C₅	C₂⁵	1	8	yes	—
622	C₂×C₄×C₅	C₂⁵	1	2	yes	—
623	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
624	C₂×C₄×C₅	C₂⁵	1	8	yes	—
625	C₂×C₄×C₅	C₂⁵	1	4	yes	—
626	C₂×C₄×C₅	C₂⁵	1	2	yes	—
627	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
628	C₂²⋊D₅	—	2	16	no	—
629	C₂²⋊D₅	—	2	16	no	—
630	C₂²⋊D₅	—	2	32	no	—
631	C₂×Dic₅	—	2	2	no	—
632	C₂×Dic₅	—	2	16	no	—
633	C₂×Dic₅	—	2	8	no	—
634	C₂×Dic₅	—	2	2	no	—
635	C₂×Dic₅	—	4	2	no	—
636	C₂×Dic₅	—	4	4	no	—
637	C₂×Dic₅	—	4	1	no	—
638	C₂×Dic₅	C₂⁵	1	2	yes	—
639	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
640	C₂×Dic₅	C₂⁵	1	4	yes	—
641	C₂×Dic₅	C₂⁵	1	2	yes	—
642	C₂×Dic₅	C₂⁵	1	8	yes	—
643	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
644	D₂₀	—	2	16	no	—
645	D₂₀	—	2	16	no	—
646	D₂₀	—	2	8	no	—
647	D₂₀	—	2	8	no	—
648	D₂₀	—	2	8	no	—
649	D₂₀	—	4	16	no	—
650	D₂₀	—	4	8	no	—
651	D₂₀	—	4	16	no	—
652	D₂₀	—	4	4	no	—
653	C₄×D₅	—	2	2	no	—
654	C₄×D₅	—	2	8	no	—
655	C₄×D₅	—	2	4	no	—
656	C₄×D₅	—	2	4	no	—
657	C₄×D₅	—	2	4	no	—
658	C₄×D₅	—	2	16	no	—
659	C₄×D₅	—	2	2	no	—
660	C₄×D₅	—	2	8	no	—
661	C₄×D₅	—	2	2	no	—
662	C₄×D₅	—	2	8	no	—
663	C₄×D₅	—	2	16	no	—
664	C₄×D₅	—	4	4	no	—
665	C₄×D₅	—	4	4	no	—
666	C₄×D₅	—	4	4	no	—
667	C₄×D₅	—	4	2	no	—
668	C₄×D₅	—	4	16	no	—
669	C₄×D₅	—	4	8	no	—
670	C₄×D₅	H(5,𝔽₂)	1	4	yes	complemented
671	Dic₁₀	—	2	8	no	—
672	C₂⁵	—	5	2	no	—
673	H(5,𝔽₂)	—	10	16	no	—
674	C₂×#41	—	5	4	no	—
675	C₂×#41	—	5	4	no	—
676	C₂×#41	—	5	8	no	—
677	C₂×#41	—	5	8	no	—
678	C₂×#41	—	5	8	no	—
679	C₂×#41	—	5	8	no	—
680	C₂×#41	—	5	4	no	—
681	C₂×#41	—	20	16	no	—
682	C₂²×Q₈	C₂²×D₅	1	4	yes	complemented
683	C₂²×D₄	—	5	2	no	—
684	C₂²×D₄	—	5	8	no	—
685	C₂²×D₄	—	5	4	no	—
686	C₂²×D₄	—	5	4	no	—
687	C₂²×D₄	—	5	8	no	—
688	C₂²×D₄	—	5	1	no	—
689	C₂²×D₄	—	5	8	no	—
690	C₂²×D₄	—	5	8	no	—
691	C₂²×D₄	—	5	4	no	—
692	C₂²×D₄	—	10	8	no	—
693	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
694	C₂³×C₄	—	5	2	no	—
695	C₂³×C₄	—	5	1	no	—
696	C₂³×C₄	—	5	4	no	—
697	C₂³×C₄	—	5	1	no	—
698	C₂³×C₄	—	5	1	no	—
699	C₂³×C₄	—	5	2	no	—
700	C₂³×C₄	—	5	4	no	—
701	C₂³×C₄	—	5	8	no	—
702	C₂³×C₄	—	5	4	no	—
703	C₂³×C₄	—	5	4	no	—
704	C₂³×C₄	—	5	2	no	—
705	C₂³×C₄	—	5	2	no	—
706	C₂³×C₄	—	20	8	no	—
707	C₂³×C₄	C₂²×D₅	1	2	yes	—
708	C₄⋊Q₈	—	5	2	no	—
709	C₄⋊Q₈	C₂²×D₅	1	2	yes	complemented
710	C₄⋊Q₈	C₂²×D₅	1	2	yes	complemented
711	C₄⋊Q₈	C₂²×D₅	1	8	yes	complemented
712	#127	—	5	2	no	—
713	#127	—	5	8	no	—
714	#126	—	5	8	no	—
715	#126	—	5	8	no	—
716	#126	—	5	16	no	—
717	#126	—	5	16	no	—
718	#126	—	5	16	no	—
719	#125	—	5	4	no	—
720	#125	—	5	4	no	—
721	#125	—	5	16	no	—
722	#125	C₂²×D₅	1	4	yes	complemented
723	#125	C₂²×D₅	1	8	yes	complemented
724	#124	—	5	4	no	—
725	#124	—	5	4	no	—
726	#124	—	5	16	no	—
727	#124	—	5	16	no	—
728	#124	—	5	4	no	—
729	#124	—	5	8	no	—
730	#123	—	5	8	no	—
731	#123	—	5	16	no	—
732	#123	—	5	16	no	—
733	#123	—	5	16	no	—
734	#123	—	5	8	no	—
735	#123	—	5	16	no	—
736	#123	—	5	16	no	—
737	#123	—	5	16	no	—
738	#123	—	5	8	no	—
739	#123	—	5	16	no	—
740	#123	—	5	16	no	—
741	C₂²⋊Q₈	—	5	4	no	—
742	C₂²⋊Q₈	—	5	8	no	—
743	C₂²⋊Q₈	—	5	8	no	—
744	C₂²⋊Q₈	—	5	8	no	—
745	C₂²⋊Q₈	—	5	4	no	—
746	C₂²⋊Q₈	—	5	16	no	—
747	C₂²⋊Q₈	—	5	4	no	—
748	C₂²⋊Q₈	—	5	4	no	—
749	C₂²⋊Q₈	—	5	8	no	—
750	C₂²⋊Q₈	C₂²×D₅	1	4	yes	—
751	C₂²⋊Q₈	C₂²×D₅	1	8	yes	—
752	C₂²⋊Q₈	C₂²×D₅	1	4	yes	—
753	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
754	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
755	C₂²⋊Q₈	C₂²×D₅	1	16	yes	complemented
756	C₂²⋊Q₈	C₂²×D₅	1	16	yes	complemented
757	#121	—	5	4	no	—
758	#121	—	5	8	no	—
759	#121	—	5	8	no	—
760	#121	—	5	8	no	—
761	#121	—	5	4	no	—
762	#121	—	5	16	no	—
763	#121	—	5	16	no	—
764	#121	—	5	4	no	—
765	#121	—	5	8	no	—
766	#121	—	5	8	no	—
767	#121	—	5	8	no	—
768	#121	—	5	4	no	—
769	#121	—	5	4	no	—
770	#121	—	5	4	no	—
771	#121	—	5	16	no	—
772	#121	—	5	8	no	—
773	#121	—	5	8	no	—
774	#121	—	5	8	no	—
775	#121	—	5	16	no	—
776	#120	—	5	8	no	—
777	#120	—	5	16	no	—
778	#120	—	5	16	no	—
779	#120	—	5	16	no	—
780	#120	—	5	16	no	—
781	#120	—	5	16	no	—
782	C₄×Q₈	—	5	4	no	—
783	C₄×Q₈	—	5	4	no	—
784	C₄×Q₈	—	5	4	no	—
785	C₄×Q₈	—	5	4	no	—
786	C₄×Q₈	—	5	8	no	—
787	C₄×Q₈	C₂²×D₅	1	4	yes	complemented
788	C₄×Q₈	C₂²×D₅	1	4	yes	complemented
789	C₄×D₄	—	5	4	no	—
790	C₄×D₄	—	5	4	no	—
791	C₄×D₄	—	5	8	no	—
792	C₄×D₄	—	5	8	no	—
793	C₄×D₄	—	5	16	no	—
794	C₄×D₄	—	5	16	no	—
795	C₄×D₄	—	5	4	no	—
796	C₄×D₄	—	5	4	no	—
797	C₄×D₄	—	5	8	no	—
798	C₄×D₄	—	5	4	no	—
799	C₄×D₄	—	5	16	no	—
800	C₄×D₄	—	5	16	no	—
801	C₄×D₄	—	5	16	no	—
802	C₄×D₄	—	5	4	no	—
803	C₄×D₄	—	5	4	no	—
804	C₄×D₄	—	5	8	no	—
805	C₄×D₄	—	5	4	no	—
806	C₄×D₄	—	5	8	no	—
807	C₄×D₄	—	5	8	no	—
808	C₄×D₄	—	5	8	no	—
809	C₄×D₄	—	5	16	no	—
810	C₄×D₄	—	5	16	no	—
811	C₄×D₄	—	5	16	no	—
812	C₄×D₄	—	5	8	no	—
813	C₄×D₄	—	5	4	no	—
814	C₄×D₄	—	5	4	no	—
815	C₄×D₄	—	5	8	no	—
816	C₄×D₄	—	5	8	no	—
817	C₄×D₄	—	5	8	no	—
818	C₄×D₄	—	5	4	no	—
819	C₄×D₄	—	5	4	no	—
820	C₄×D₄	C₂²×D₅	1	4	yes	—
821	C₄×D₄	C₂²×D₅	1	4	yes	—
822	C₄×D₄	C₂²×D₅	1	8	yes	—
823	C₄×D₄	C₂²×D₅	1	8	yes	—
824	#117	—	5	4	no	—
825	#117	—	5	8	no	—
826	#117	—	5	8	no	—
827	#117	—	5	8	no	—
828	#117	—	5	8	no	—
829	#117	—	5	8	no	—
830	#117	—	5	4	no	—
831	#117	—	5	8	no	—
832	#117	—	5	16	no	—
833	#117	—	5	8	no	—
834	#117	C₂²×D₅	1	4	yes	—
835	C₂×C₄⋊C₄	—	5	1	no	—
836	C₂×C₄⋊C₄	—	5	2	no	—
837	C₂×C₄⋊C₄	—	5	4	no	—
838	C₂×C₄⋊C₄	—	5	8	no	—
839	C₂×C₄⋊C₄	—	5	4	no	—
840	C₂×C₄⋊C₄	—	5	4	no	—
841	C₂×C₄⋊C₄	—	5	8	no	—
842	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
843	C₂×C₄⋊C₄	C₂²×D₅	1	4	yes	complemented
844	C₂×C₄⋊C₄	C₂²×D₅	1	8	yes	complemented
845	C₂×C₂²⋊C₄	—	5	2	no	—
846	C₂×C₂²⋊C₄	—	5	2	no	—
847	C₂×C₂²⋊C₄	—	5	2	no	—
848	C₂×C₂²⋊C₄	—	5	8	no	—
849	C₂×C₂²⋊C₄	—	5	8	no	—
850	C₂×C₂²⋊C₄	—	5	8	no	—
851	C₂×C₂²⋊C₄	—	5	8	no	—
852	C₂×C₂²⋊C₄	—	5	8	no	—
853	C₂×C₂²⋊C₄	—	5	8	no	—
854	C₂×C₂²⋊C₄	—	5	16	no	—
855	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
856	C₂×C₂²⋊C₄	C₂²×D₅	1	8	yes	—
857	C₂×C₄²	—	5	8	no	—
858	C₂×C₄²	—	5	1	no	—
859	C₂×C₄²	—	5	1	no	—
860	C₂×C₄²	—	5	1	no	—
861	C₂×C₄²	—	5	2	no	—
862	C₂×C₄²	—	5	2	no	—
863	C₂×C₄²	—	5	2	no	—
864	C₂×C₄²	—	5	2	no	—
865	C₂×C₄²	—	5	8	no	—
866	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
867	C₂²×C₅	—	2	1	no	—
868	C₂²×C₅	—	2	4	no	—
869	C₂²×C₅	—	2	1	no	—
870	C₂²×C₅	—	2	4	no	—
871	C₂²×C₅	—	4	8	no	—
872	C₂²×C₅	C₂²×#41	1	8	yes	—
873	C₂²×C₅	C₂²×#41	1	2	yes	—
874	C₂²×C₅	C₂⁶	1	1	yes	characteristic
875	C₂×D₅	—	2	8	no	—
876	C₂×D₅	—	2	1	no	—
877	C₂×D₅	—	2	1	no	—
878	C₂×D₅	—	2	1	no	—
879	C₂×D₅	—	2	1	no	—
880	C₂×D₅	—	2	8	no	—
881	C₂×D₅	—	2	4	no	—
882	C₂×D₅	—	2	4	no	—
883	C₂×D₅	—	2	8	no	—
884	C₂×D₅	—	2	8	no	—
885	C₂×D₅	—	2	4	no	—
886	C₂×D₅	—	4	16	no	—
887	C₂×D₅	—	4	16	no	—
888	C₂×D₅	—	4	8	no	—
889	C₂×D₅	—	8	16	no	—
890	C₂×D₅	C₂×H(5,𝔽₂)	1	2	yes	—
891	C₂×D₅	#585	1	2	yes	—
892	C₄×C₅	—	2	1	no	—
893	C₄×C₅	—	2	4	no	—
894	C₄×C₅	—	2	8	no	—
895	C₄×C₅	—	2	2	no	—
896	C₄×C₅	—	2	8	no	—
897	C₄×C₅	C₂²×#41	1	4	yes	—
898	C₄×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
899	Dic₅	—	2	8	no	—
900	Dic₅	—	2	2	no	—
901	Dic₅	—	2	4	no	—
902	Dic₅	—	2	1	no	—
903	Dic₅	—	2	2	no	—
904	Dic₅	C₂×H(5,𝔽₂)	1	2	yes	—
905	C₂⁴	—	5	1	no	—
906	C₂⁴	—	5	4	no	—
907	C₂⁴	—	5	4	no	—
908	C₂⁴	—	5	8	no	—
909	C₂⁴	—	5	2	no	—
910	C₂⁴	—	10	8	no	—
911	C₂⁴	—	20	4	no	—
912	C₂⁴	—	20	4	no	—
913	C₂⁴	C₂³×D₅	1	2	yes	—
914	#41	—	10	16	no	—
915	#41	—	10	32	no	—
916	#41	—	10	16	no	—
917	#41	—	20	16	no	—
918	#41	—	20	16	no	—
919	#41	—	20	8	no	—
920	#41	—	20	16	no	—
921	C₂×Q₈	—	4	8	no	—
922	C₂×Q₈	—	5	4	no	—
923	C₂×Q₈	C₂³×D₅	1	4	yes	—
924	C₂×Q₈	C₂³×D₅	1	4	yes	—
925	C₂×Q₈	C₂³×D₅	1	8	yes	—
926	C₂×D₄	—	5	16	no	—
927	C₂×D₄	—	5	8	no	—
928	C₂×D₄	—	5	8	no	—
929	C₂×D₄	—	5	8	no	—
930	C₂×D₄	—	5	4	no	—
931	C₂×D₄	—	5	4	no	—
932	C₂×D₄	—	5	8	no	—
933	C₂×D₄	—	5	4	no	—
934	C₂×D₄	—	5	4	no	—
935	C₂×D₄	—	5	16	no	—
936	C₂×D₄	—	5	16	no	—
937	C₂×D₄	—	5	8	no	—
938	C₂×D₄	—	10	8	no	—
939	C₂×D₄	—	10	32	no	—
940	C₂×D₄	—	10	16	no	—
941	C₂×D₄	—	10	16	no	—
942	C₂×D₄	—	10	32	no	—
943	C₂×D₄	—	10	4	no	—
944	C₂×D₄	—	20	8	no	—
945	C₂×D₄	—	20	16	no	—
946	C₂×D₄	—	20	16	no	—
947	C₂×D₄	#713	1	8	yes	complemented
948	C₂×D₄	C₂³×D₅	1	4	yes	—
949	C₂²×C₄	—	4	4	no	—
950	C₂²×C₄	—	5	1	no	—
951	C₂²×C₄	—	5	1	no	—
952	C₂²×C₄	—	5	4	no	—
953	C₂²×C₄	—	5	1	no	—
954	C₂²×C₄	—	5	8	no	—
955	C₂²×C₄	—	5	1	no	—
956	C₂²×C₄	—	5	4	no	—
957	C₂²×C₄	—	5	2	no	—
958	C₂²×C₄	—	5	2	no	—
959	C₂²×C₄	—	5	2	no	—
960	C₂²×C₄	—	5	2	no	—
961	C₂²×C₄	—	5	1	no	—
962	C₂²×C₄	—	5	1	no	—
963	C₂²×C₄	—	5	1	no	—
964	C₂²×C₄	—	5	8	no	—
965	C₂²×C₄	—	5	8	no	—
966	C₂²×C₄	—	5	4	no	—
967	C₂²×C₄	—	5	4	no	—
968	C₂²×C₄	—	5	4	no	—
969	C₂²×C₄	—	5	2	no	—
970	C₂²×C₄	—	5	8	no	—
971	C₂²×C₄	—	5	4	no	—
972	C₂²×C₄	—	5	16	no	—
973	C₂²×C₄	—	5	4	no	—
974	C₂²×C₄	—	5	4	no	—
975	C₂²×C₄	—	10	4	no	—
976	C₂²×C₄	—	10	16	no	—
977	C₂²×C₄	—	10	4	no	—
978	C₂²×C₄	—	20	4	no	—
979	C₂²×C₄	—	20	8	no	—
980	C₂²×C₄	—	20	8	no	—
981	C₂²×C₄	—	20	4	no	—
982	C₂²×C₄	—	20	16	no	—
983	C₂²×C₄	—	20	8	no	—
984	C₂²×C₄	—	20	4	no	—
985	C₂²×C₄	—	20	2	no	—
986	C₂²×C₄	—	20	4	no	—
987	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
988	C₂²×C₄	C₂³×D₅	1	4	yes	—
989	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
990	C₂²×C₄	C₂³×D₅	1	8	yes	—
991	C₂²×C₄	C₂³×D₅	1	4	yes	—
992	C₂²×C₄	C₂³×D₅	1	2	yes	—
993	C₂²×C₄	C₂³×D₅	1	8	yes	—
994	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
995	C₄⋊C₄	—	5	4	no	—
996	C₄⋊C₄	—	5	8	no	—
997	C₄⋊C₄	—	5	4	no	—
998	C₄⋊C₄	—	5	8	no	—
999	C₄⋊C₄	—	5	16	no	—
1000	C₄⋊C₄	—	5	8	no	—
1001	C₄⋊C₄	—	5	8	no	—
1002	C₄⋊C₄	—	5	8	no	—
1003	C₄⋊C₄	—	5	8	no	—
1004	C₄⋊C₄	—	5	4	no	—
1005	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1006	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1007	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1008	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1009	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1010	C₄⋊C₄	C₂³×D₅	1	16	yes	—
1011	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1012	C₄⋊C₄	C₂³×D₅	1	8	yes	—
1013	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1014	C₂²⋊C₄	—	5	8	no	—
1015	C₂²⋊C₄	—	5	8	no	—
1016	C₂²⋊C₄	—	5	8	no	—
1017	C₂²⋊C₄	—	5	8	no	—
1018	C₂²⋊C₄	—	5	8	no	—
1019	C₂²⋊C₄	—	5	8	no	—
1020	C₂²⋊C₄	—	5	8	no	—
1021	C₂²⋊C₄	—	5	16	no	—
1022	C₂²⋊C₄	—	5	8	no	—
1023	C₂²⋊C₄	—	5	16	no	—
1024	C₂²⋊C₄	—	5	16	no	—
1025	C₂²⋊C₄	—	5	16	no	—
1026	C₂²⋊C₄	—	5	8	no	—
1027	C₂²⋊C₄	—	5	8	no	—
1028	C₂²⋊C₄	—	5	8	no	—
1029	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1030	C₂²⋊C₄	C₂³×D₅	1	16	yes	—
1031	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1032	C₄²	—	5	2	no	—
1033	C₄²	—	5	8	no	—
1034	C₄²	—	5	2	no	—
1035	C₄²	—	5	2	no	—
1036	C₄²	—	5	2	no	—
1037	C₄²	—	5	2	no	—
1038	C₄²	—	5	2	no	—
1039	C₄²	—	5	16	no	—
1040	C₄²	—	5	8	no	—
1041	C₄²	C₂³×D₅	1	2	yes	—
1042	C₄²	C₂³×D₅	1	2	yes	—
1043	C₄²	C₂³×D₅	1	8	yes	—
1044	C₂×C₅	—	2	2	no	—
1045	C₂×C₅	—	2	8	no	—
1046	C₂×C₅	C₂³×#41	1	1	yes	characteristic
1047	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1048	C₂×C₅	C₂×#585	1	1	yes	characteristic
1049	D₅	—	2	2	no	—
1050	D₅	—	2	2	no	—
1051	D₅	—	4	4	no	—
1052	D₅	—	4	8	no	—
1053	C₂³	—	4	2	no	—
1054	C₂³	—	4	2	no	—
1055	C₂³	—	5	1	no	—
1056	C₂³	—	5	1	no	—
1057	C₂³	—	5	4	no	—
1058	C₂³	—	5	8	no	—
1059	C₂³	—	10	2	no	—
1060	C₂³	—	10	2	no	—
1061	C₂³	—	10	8	no	—
1062	C₂³	—	10	8	no	—
1063	C₂³	—	10	2	no	—
1064	C₂³	—	10	8	no	—
1065	C₂³	—	10	8	no	—
1066	C₂³	—	10	4	no	—
1067	C₂³	—	10	16	no	—
1068	C₂³	—	20	4	no	—
1069	C₂³	—	20	2	no	—
1070	C₂³	—	20	4	no	—
1071	C₂³	—	20	2	no	—
1072	C₂³	—	20	8	no	—
1073	C₂³	—	20	8	no	—
1074	C₂³	—	20	32	no	—
1075	C₂³	C₂×#713	1	8	yes	complemented
1076	C₂³	C₂⁴×D₅	1	4	yes	—
1077	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1078	Q₈	—	2	8	no	—
1079	Q₈	—	4	8	no	—
1080	Q₈	—	4	4	no	—
1081	Q₈	—	10	8	no	—
1082	D₄	—	10	16	no	—
1083	D₄	—	10	16	no	—
1084	D₄	—	10	16	no	—
1085	D₄	—	10	32	no	—
1086	D₄	—	10	16	no	—
1087	D₄	—	10	8	no	—
1088	D₄	—	10	8	no	—
1089	D₄	—	10	8	no	—
1090	D₄	—	20	8	no	—
1091	D₄	—	20	16	no	—
1092	D₄	—	20	16	no	—
1093	D₄	—	20	4	no	—
1094	D₄	C₂×#713	1	16	yes	complemented
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	8	no	—
1097	C₂×C₄	—	4	4	no	—
1098	C₂×C₄	—	4	2	no	—
1099	C₂×C₄	—	4	8	no	—
1100	C₂×C₄	—	4	1	no	—
1101	C₂×C₄	—	4	8	no	—
1102	C₂×C₄	—	5	1	no	—
1103	C₂×C₄	—	5	4	no	—
1104	C₂×C₄	—	5	2	no	—
1105	C₂×C₄	—	5	8	no	—
1106	C₂×C₄	—	5	2	no	—
1107	C₂×C₄	—	5	1	no	—
1108	C₂×C₄	—	5	4	no	—
1109	C₂×C₄	—	10	2	no	—
1110	C₂×C₄	—	10	8	no	—
1111	C₂×C₄	—	10	16	no	—
1112	C₂×C₄	—	10	2	no	—
1113	C₂×C₄	—	10	8	no	—
1114	C₂×C₄	—	10	4	no	—
1115	C₂×C₄	—	10	8	no	—
1116	C₂×C₄	—	10	2	no	—
1117	C₂×C₄	—	10	2	no	—
1118	C₂×C₄	—	10	16	no	—
1119	C₂×C₄	—	10	4	no	—
1120	C₂×C₄	—	10	4	no	—
1121	C₂×C₄	—	10	16	no	—
1122	C₂×C₄	—	10	2	no	—
1123	C₂×C₄	—	10	8	no	—
1124	C₂×C₄	—	20	4	no	—
1125	C₂×C₄	—	20	4	no	—
1126	C₂×C₄	—	20	4	no	—
1127	C₂×C₄	—	20	16	no	—
1128	C₂×C₄	—	20	2	no	—
1129	C₂×C₄	—	20	8	no	—
1130	C₂×C₄	—	20	4	no	—
1131	C₂×C₄	—	20	2	no	—
1132	C₂×C₄	—	20	1	no	—
1133	C₂×C₄	C₂×#713	1	4	yes	complemented
1134	C₂×C₄	C₂⁴×D₅	1	8	yes	—
1135	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1136	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1137	C₂×C₄	C₂⁴×D₅	1	8	yes	—
1138	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1139	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1140	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1141	C₅	#62773	1	1	yes	characteristic, complemented, Sylow
1142	C₂²	—	2	4	no	—
1143	C₂²	—	2	1	no	—
1144	C₂²	—	2	4	no	—
1145	C₂²	—	2	1	no	—
1146	C₂²	—	4	8	no	—
1147	C₂²	—	5	2	no	—
1148	C₂²	—	5	2	no	—
1149	C₂²	—	10	8	no	—
1150	C₂²	—	10	1	no	—
1151	C₂²	—	10	1	no	—
1152	C₂²	—	10	1	no	—
1153	C₂²	—	10	1	no	—
1154	C₂²	—	10	8	no	—
1155	C₂²	—	10	4	no	—
1156	C₂²	—	10	4	no	—
1157	C₂²	—	10	8	no	—
1158	C₂²	—	10	8	no	—
1159	C₂²	—	10	4	no	—
1160	C₂²	—	20	16	no	—
1161	C₂²	—	20	16	no	—
1162	C₂²	—	20	8	no	—
1163	C₂²	—	40	16	no	—
1164	C₂²	C₂²×#713	1	8	yes	—
1165	C₂²	C₂²×#713	1	2	yes	—
1166	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1167	C₄	—	2	1	no	—
1168	C₄	—	2	4	no	—
1169	C₄	—	2	8	no	—
1170	C₄	—	2	8	no	—
1171	C₄	—	2	2	no	—
1172	C₄	—	5	2	no	—
1173	C₄	—	10	2	no	—
1174	C₄	—	10	8	no	—
1175	C₄	—	10	1	no	—
1176	C₄	—	10	4	no	—
1177	C₄	—	10	2	no	—
1178	C₄	C₂²×#713	1	4	yes	—
1179	C₄	D₅×H(5,𝔽₂)	1	2	yes	—
1180	C₂	—	2	2	no	—
1181	C₂	—	2	8	no	—
1182	C₂	—	10	2	no	—
1183	C₂	—	10	2	no	—
1184	C₂	—	20	4	no	—
1185	C₂	—	20	8	no	—
1186	C₂	C₂³×#713	1	1	yes	characteristic
1187	C₂	C₂×D₅×H(5,𝔽₂)	1	1	yes	characteristic
1188	C₂	D₅×#585	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅
commutator, socle, cosocle	C₂²×C₅	C₂⁶
Fitting	C₅×#3501	C₂
hypercenter	#3501	D₅
hypocenter	C₅	#62773
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #3501

Complements

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

N	H ≅ G/N	type
1. C₅×#3501	C₂	semidirect
2. #10618834	C₂	semidirect
3. #10618830	C₂	semidirect
4. #10618825	C₂	semidirect
5. #10618823	C₂	semidirect
6. #10618652	C₂	semidirect
7. D₄×#713	C₂	semidirect
8. #10618497	C₂	semidirect
9. #10618483	C₂	semidirect
10. #10618480	C₂	semidirect
11. #10618473	C₂	semidirect
12. #10618160	C₂	semidirect
13. #10618158	C₂	semidirect
14. #10617872	C₂	semidirect
15. C₂×#65961	C₂	semidirect
16. #10617768	C₂	semidirect
17. #10617758	C₂	semidirect
18. #10617687	C₂	semidirect
19. C₂×C₄×D₄×D₅	C₂	semidirect
20. C₂²×#713	C₂²	semidirect
23. C₂³×C₄×D₅	C₂²	semidirect
24. C₅×#554	C₂²	semidirect
25. C₅×#554	C₂²	semidirect
26. C₅×D₄×Q₈	C₂²	semidirect
27. C₅×#544	C₂²	semidirect
28. C₅×#543	C₂²	semidirect
29. C₅×#533	C₂²	semidirect
30. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
33. #66151	C₂²	semidirect
34. C₂×#4092	C₂²	semidirect
36. C₂×#4076	C₂²	semidirect
37. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
38. #66068	C₂²	semidirect
39. #66067	C₂²	semidirect
40. #66064	C₂²	semidirect
41. #66062	C₂²	semidirect
42. #66062	C₂²	semidirect
43. #66060	C₂²	semidirect
44. #66060	C₂²	semidirect
45. #66059	C₂²	semidirect
46. #66059	C₂²	semidirect
47. #66059	C₂²	semidirect
48. #66032	C₂²	semidirect
49. #66029	C₂²	semidirect
50. #66029	C₂²	semidirect
51. #66028	C₂²	semidirect
52. #66025	C₂²	semidirect
53. #66025	C₂²	semidirect
54. #66025	C₂²	semidirect
55. #65979	C₂²	semidirect
56. #65979	C₂²	semidirect
57. #65978	C₂²	semidirect
58. #65978	C₂²	semidirect
59. #65978	C₂²	semidirect
60. #65976	C₂²	semidirect
61. #65971	C₂²	semidirect
62. #65971	C₂²	semidirect
63. #65971	C₂²	semidirect
64. #65964	C₂²	semidirect
65. #65964	C₂²	semidirect
66. #65964	C₂²	semidirect
67. #65961	C₂²	semidirect
68. #65961	C₂²	semidirect
69. #65961	C₂²	semidirect
70. #65961	C₂²	semidirect
71. #65961	C₂²	semidirect
72. #65961	C₂²	semidirect
73. #65961	C₂²	semidirect
74. #65961	C₂²	semidirect
75. #65961	C₂²	semidirect
76. #65961	C₂²	semidirect
77. #65958	C₂²	semidirect
78. #65958	C₂²	semidirect
79. #65958	C₂²	semidirect
80. #65919	C₂²	semidirect
81. #65918	C₂²	semidirect
82. #65914	C₂²	semidirect
83. #65914	C₂²	semidirect
84. #65911	C₂²	semidirect
85. C₄×#713	C₂²	semidirect
86. C₄×#713	C₂²	semidirect
87. #65889	C₂²	semidirect
88. #65888	C₂²	semidirect
89. #65888	C₂²	semidirect
90. #65888	C₂²	semidirect
91. D₄×D₂₀	C₂²	semidirect
92. D₄×D₂₀	C₂²	semidirect
93. D₄×D₂₀	C₂²	semidirect
94. #65880	C₂²	semidirect
95. #65879	C₂²	semidirect
96. C₄×D₄×D₅	C₂²	semidirect
97. C₄×D₄×D₅	C₂²	semidirect
98. C₄×D₄×D₅	C₂²	semidirect
99. C₄×D₄×D₅	C₂²	semidirect
100. C₄×D₄×D₅	C₂²	semidirect
101. C₄×#711	C₂²	semidirect
102. #65859	C₂²	semidirect
103. #65858	C₂²	semidirect
104. #65857	C₂²	semidirect
105. #65856	C₂²	semidirect
106. #65848	C₂²	semidirect
107. #65848	C₂²	semidirect
108. #65844	C₂²	semidirect
109. C₂×#4041	C₂²	semidirect
110. C₂×#4040	C₂²	semidirect
111. C₂×#4039	C₂²	semidirect
112. C₂×#4039	C₂²	semidirect
113. C₂×#4038	C₂²	semidirect
114. C₂×D₅×C₄⋊C₄	C₂²	semidirect
115. #65827	C₂²	semidirect
116. #65827	C₂²	semidirect
117. C₂×#4028	C₂²	semidirect
118. #65820	C₂²	semidirect
119. C₂×#4027	C₂²	semidirect
120. C₂×#4027	C₂²	semidirect
121. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
122. #65811	C₂²	semidirect
123. C₂×C₄×D₂₀	C₂²	semidirect
124. C₂×C₄²×D₅	C₂²	semidirect
127. C₂²×C₅×Q₈	C₂³	semidirect
137. C₂×#713	C₂³	semidirect
138. C₂×#713	C₂³	semidirect
149. C₂²×D₂₀	C₂³	semidirect
161. C₂²×C₄×D₅	C₂³	semidirect
162. C₅×C₄⋊Q₈	C₂³	semidirect
163. C₅×C₄⋊Q₈	C₂³	semidirect
164. C₅×C₄⋊Q₈	C₂³	semidirect
165. C₅×#125	C₂³	semidirect
166. C₅×#125	C₂³	semidirect
170. C₅×C₂²⋊Q₈	C₂³	semidirect
171. C₅×C₂²⋊Q₈	C₂³	semidirect
172. C₅×C₂²⋊Q₈	C₂³	semidirect
173. C₅×C₂²⋊Q₈	C₂³	semidirect
174. C₄×C₅×Q₈	C₂³	semidirect
175. C₄×C₅×Q₈	C₂³	semidirect
182. C₂×C₅×C₄⋊C₄	C₂³	semidirect
183. C₂×C₅×C₄⋊C₄	C₂³	semidirect
188. #4093	C₂³	semidirect
189. #4093	C₂³	semidirect
190. #4093	C₂³	semidirect
191. #4093	C₂³	semidirect
195. #4092	C₂³	semidirect
196. #4092	C₂³	semidirect
197. #4092	C₂³	semidirect
198. Q₈×Dic₅	C₂³	semidirect
199. Q₈×Dic₅	C₂³	semidirect
207. #4076	C₂³	semidirect
208. #4076	C₂³	semidirect
211. C₄×C₂²⋊D₅	C₂³	semidirect
212. C₄×C₂²⋊D₅	C₂³	semidirect
217. C₂×#685	C₂³	semidirect
218. C₂×#685	C₂³	semidirect
220. C₂×C₄⋊Dic₅	C₂³	semidirect
222. C₂×#683	C₂³	semidirect
226. C₂×C₄×Dic₅	C₂³	semidirect
227. #4044	C₂³	semidirect
228. #4044	C₂³	semidirect
229. #4044	C₂³	semidirect
230. #4044	C₂³	semidirect
231. #4044	C₂³	semidirect
234. #4043	C₂³	semidirect
242. #4041	C₂³	semidirect
243. #4041	C₂³	semidirect
244. #4041	C₂³	semidirect
245. #4041	C₂³	semidirect
246. #4041	C₂³	semidirect
250. #4040	C₂³	semidirect
251. #4040	C₂³	semidirect
252. #4040	C₂³	semidirect
253. #4040	C₂³	semidirect
254. #4040	C₂³	semidirect
260. #4039	C₂³	semidirect
261. #4039	C₂³	semidirect
262. #4039	C₂³	semidirect
263. #4039	C₂³	semidirect
264. #4039	C₂³	semidirect
265. #4039	C₂³	semidirect
269. #4038	C₂³	semidirect
270. #4038	C₂³	semidirect
271. #4038	C₂³	semidirect
272. #4038	C₂³	semidirect
273. #4038	C₂³	semidirect
276. D₅×C₄⋊C₄	C₂³	semidirect
277. #4036	C₂³	semidirect
278. #4036	C₂³	semidirect
279. #4036	C₂³	semidirect
280. #4033	C₂³	semidirect
281. #4033	C₂³	semidirect
284. #4032	C₂³	semidirect
290. #4028	C₂³	semidirect
296. #4027	C₂³	semidirect
297. #4027	C₂³	semidirect
300. D₅×C₂²⋊C₄	C₂³	semidirect
301. #4023	C₂³	semidirect
303. #4021	C₂³	semidirect
305. #4020	C₂³	semidirect
310. C₄×D₂₀	C₂³	semidirect
311. C₄×D₂₀	C₂³	semidirect
312. C₄×D₂₀	C₂³	semidirect
313. #4018	C₂³	semidirect
318. C₄²×D₅	C₂³	semidirect
319. #4015	C₂³	semidirect
320. C₄×Dic₁₀	C₂³	semidirect
326. #3501	D₅	semidirect
353. C₂×C₅×D₄	#41	semidirect
487. #554	C₂×D₅	semidirect
488. #554	C₂×D₅	semidirect
499. D₄×Q₈	C₂×D₅	semidirect
513. #544	C₂×D₅	semidirect
514. #543	C₂×D₅	semidirect
528. #533	C₂×D₅	semidirect
554. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
586. C₂³×C₅	C₂×#41	semidirect
612. C₅×D₄	C₂×#41	semidirect
620. C₂×C₄×C₅	C₂×#41	semidirect
670. C₄×D₅	H(5,𝔽₂)	semidirect
682. C₂²×Q₈	C₂²×D₅	semidirect
709. C₄⋊Q₈	C₂²×D₅	semidirect
710. C₄⋊Q₈	C₂²×D₅	semidirect
711. C₄⋊Q₈	C₂²×D₅	semidirect
722. #125	C₂²×D₅	semidirect
723. #125	C₂²×D₅	semidirect
753. C₂²⋊Q₈	C₂²×D₅	semidirect
754. C₂²⋊Q₈	C₂²×D₅	semidirect
755. C₂²⋊Q₈	C₂²×D₅	semidirect
756. C₂²⋊Q₈	C₂²×D₅	semidirect
787. C₄×Q₈	C₂²×D₅	semidirect
788. C₄×Q₈	C₂²×D₅	semidirect
843. C₂×C₄⋊C₄	C₂²×D₅	semidirect
844. C₂×C₄⋊C₄	C₂²×D₅	semidirect
947. C₂×D₄	#713	semidirect
1075. C₂³	C₂×#713	semidirect
1094. D₄	C₂×#713	semidirect
1133. C₂×C₄	C₂×#713	semidirect
1141. C₅	#62773	semidirect

Maximal subgroups

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

subgroup	index
C₅×#3501	2
#10618834	2
#10618830	2
#10618825	2
#10618823	2
#10618652	2
D₄×#713	2
#10618497	2
#10618483	2
#10618480	2
#10618473	2
#10618160	2
#10618158	2
#10617872	2
C₂×#65961	2
#10617768	2
#10617758	2
#10617687	2
C₂×C₄×D₄×D₅	2
#62773	5