Subgroups — #13007326

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×#3496	C₂	1	1	yes	maximal, characteristic, complemented
2	#10619185	C₂	1	2	yes	maximal, complemented
3	Dic₅×H(5,𝔽₂)	C₂	1	2	yes	maximal, complemented
4	#10618586	C₂	1	4	yes	maximal, complemented
5	#10618576	C₂	1	4	yes	maximal, complemented
6	#10618537	C₂	1	8	yes	maximal, complemented
7	#10618529	C₂	1	8	yes	maximal, complemented
8	#10618513	C₂	1	4	yes	maximal, complemented
9	D₄×#711	C₂	1	4	yes	maximal, complemented
10	#10618282	C₂	1	2	yes	maximal, complemented
11	#10618265	C₂	1	2	yes	maximal, complemented
12	#10618210	C₂	1	4	yes	maximal, complemented
13	#10618196	C₂	1	4	yes	maximal, complemented
14	#10618124	C₂	1	2	yes	maximal, complemented
15	#10618120	C₂	1	2	yes	maximal, complemented
16	#10617838	C₂	1	4	yes	maximal, complemented
17	C₂×#65940	C₂	1	4	yes	maximal, complemented
18	C₂×C₄×D₄×D₅	C₂	1	1	yes	maximal, characteristic, complemented
19	#10617667	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₅×H(5,𝔽₂)	C₂²	1	2	yes	—
21	C₂²×#711	C₂²	1	4	yes	complemented
22	C₂²×D₄×D₅	C₂²	1	1	yes	characteristic
23	C₂³×C₄×D₅	C₂²	1	2	yes	complemented
24	C₅×#547	C₂²	1	4	yes	complemented
25	C₅×#546	C₂²	1	8	yes	complemented
26	C₅×D₄²	C₂²	1	4	yes	complemented
27	C₅×#537	C₂²	1	2	yes	complemented
28	C₅×#534	C₂²	1	4	yes	complemented
29	C₅×#532	C₂²	1	2	yes	complemented
30	C₂×C₅×#121	C₂²	1	4	yes	complemented
31	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
32	#66164	C₂²	1	4	yes	complemented
33	#66163	C₂²	1	8	yes	complemented
34	#66163	C₂²	1	8	yes	complemented
35	#66162	C₂²	1	4	yes	complemented
36	#66161	C₂²	1	4	yes	complemented
37	#66161	C₂²	1	8	yes	complemented
38	#41×Dic₅	C₂²	1	4	yes	complemented
39	#41×Dic₅	C₂²	1	8	yes	complemented
40	#66140	C₂²	1	8	yes	complemented
41	#66138	C₂²	1	8	yes	complemented
42	D₄×C₂²⋊D₅	C₂²	1	8	yes	complemented
43	D₄×C₂²⋊D₅	C₂²	1	8	yes	complemented
44	C₂×#4084	C₂²	1	4	yes	complemented
45	C₂×#4083	C₂²	1	8	yes	complemented
46	#66132	C₂²	1	2	yes	—
47	#66132	C₂²	1	8	yes	complemented
48	#66132	C₂²	1	8	yes	complemented
49	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic
50	C₂×D₄×Dic₅	C₂²	1	8	yes	complemented
51	C₂×D₄×Dic₅	C₂²	1	8	yes	complemented
52	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
53	C₂×#4070	C₂²	1	4	yes	complemented
54	#66066	C₂²	1	4	yes	complemented
55	#66062	C₂²	1	2	yes	complemented
56	#66062	C₂²	1	2	yes	complemented
57	#66052	C₂²	1	4	yes	complemented
58	#66050	C₂²	1	2	yes	complemented
59	#66050	C₂²	1	2	yes	complemented
60	#66015	C₂²	1	8	yes	complemented
61	#66014	C₂²	1	4	yes	complemented
62	#66014	C₂²	1	4	yes	complemented
63	#65999	C₂²	1	16	yes	complemented
64	#65992	C₂²	1	16	yes	complemented
65	#65992	C₂²	1	16	yes	complemented
66	#65983	C₂²	1	16	yes	complemented
67	#65977	C₂²	1	8	yes	complemented
68	#65973	C₂²	1	8	yes	complemented
69	#65969	C₂²	1	8	yes	complemented
70	#65958	C₂²	1	8	yes	complemented
71	#65953	C₂²	1	8	yes	complemented
72	#65952	C₂²	1	8	yes	complemented
73	#65951	C₂²	1	8	yes	complemented
74	#65951	C₂²	1	8	yes	complemented
75	#65948	C₂²	1	8	yes	complemented
76	#65945	C₂²	1	8	yes	complemented
77	#65940	C₂²	1	4	yes	complemented
78	#65940	C₂²	1	4	yes	complemented
79	#65940	C₂²	1	8	yes	complemented
80	#65940	C₂²	1	8	yes	complemented
81	#65940	C₂²	1	8	yes	complemented
82	#65940	C₂²	1	8	yes	complemented
83	#65940	C₂²	1	8	yes	complemented
84	#65940	C₂²	1	8	yes	complemented
85	#65940	C₂²	1	8	yes	complemented
86	#65936	C₂²	1	8	yes	complemented
87	#65935	C₂²	1	16	yes	complemented
88	#65934	C₂²	1	4	yes	complemented
89	#65934	C₂²	1	4	yes	complemented
90	#65932	C₂²	1	8	yes	complemented
91	#65930	C₂²	1	8	yes	complemented
92	#65927	C₂²	1	16	yes	complemented
93	#65925	C₂²	1	16	yes	complemented
94	#65925	C₂²	1	16	yes	complemented
95	#65920	C₂²	1	16	yes	complemented
96	#65899	C₂²	1	8	yes	complemented
97	#65897	C₂²	1	4	yes	complemented
98	#65891	C₂²	1	4	yes	complemented
99	#65891	C₂²	1	4	yes	complemented
100	#65889	C₂²	1	4	yes	complemented
101	C₄×D₄×D₅	C₂²	1	4	yes	complemented
102	C₄×D₄×D₅	C₂²	1	4	yes	complemented
103	C₄×D₄×D₅	C₂²	1	4	yes	complemented
104	C₄×D₄×D₅	C₂²	1	4	yes	complemented
105	#65877	C₂²	1	4	yes	complemented
106	#65873	C₂²	1	8	yes	complemented
107	D₄×Dic₁₀	C₂²	1	4	yes	complemented
108	C₄×#711	C₂²	1	4	yes	complemented
109	C₄×#711	C₂²	1	4	yes	complemented
110	#65847	C₂²	1	8	yes	complemented
111	C₂×#4043	C₂²	1	4	yes	complemented
112	C₂×#4039	C₂²	1	1	yes	characteristic, complemented
113	C₂×#4038	C₂²	1	4	yes	complemented
114	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
115	#65834	C₂²	1	2	yes	complemented
116	#65829	C₂²	1	16	yes	complemented
117	C₂×#4029	C₂²	1	8	yes	complemented
118	C₂×#4027	C₂²	1	2	yes	complemented
119	C₂×#4027	C₂²	1	8	yes	complemented
120	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
121	#65817	C₂²	1	4	yes	complemented
122	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
123	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
124	#65804	C₂²	1	2	yes	complemented
125	#62773	—	5	1	no	maximal, Sylow
126	C₂⁴×D₅	C₂³	1	2	yes	—
127	C₅×H(5,𝔽₂)	—	2	16	no	—
128	C₂×C₅×#41	C₂³	1	4	yes	—
129	C₂×C₅×#41	C₂³	1	8	yes	—
130	C₂²×C₅×D₄	C₂³	1	8	yes	—
131	C₂²×C₅×D₄	C₂³	1	8	yes	—
132	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
133	C₂²×C₅×D₄	C₂³	1	4	yes	complemented
134	C₂³×C₄×C₅	C₂³	1	2	yes	—
135	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
136	C₂²×C₂²⋊D₅	C₂³	1	8	yes	—
137	C₂²×C₂²⋊D₅	C₂³	1	8	yes	—
138	C₂³×Dic₅	C₂³	1	2	yes	—
139	C₂³×Dic₅	C₂³	1	8	yes	complemented
140	C₂×#711	—	4	16	no	—
141	C₂×#711	C₂³	1	4	yes	—
142	C₂×#711	C₂³	1	4	yes	—
143	C₂×#711	C₂³	1	8	yes	—
144	C₂×#711	C₂³	1	8	yes	complemented
145	C₂×#711	C₂³	1	8	yes	complemented
146	C₂×D₄×D₅	—	2	8	no	—
147	C₂×D₄×D₅	C₂³	1	4	yes	—
148	C₂×D₄×D₅	C₂³	1	4	yes	—
149	C₂²×D₂₀	C₂³	1	1	yes	characteristic
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	4	yes	—
158	C₂²×C₄×D₅	C₂³	1	2	yes	—
159	C₂²×C₄×D₅	C₂³	1	4	yes	—
160	C₂²×C₄×D₅	C₂³	1	4	yes	—
161	C₂²×Dic₁₀	C₂³	1	4	yes	complemented
162	C₅×C₄⋊Q₈	C₂³	1	2	yes	complemented
163	C₅×#127	C₂³	1	2	yes	complemented
164	C₅×#124	C₂³	1	4	yes	complemented
165	C₅×#123	C₂³	1	16	yes	complemented
166	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
167	C₅×#121	C₂³	1	4	yes	—
168	C₅×#121	C₂³	1	8	yes	—
169	C₅×#121	C₂³	1	4	yes	—
170	C₅×#121	C₂³	1	8	yes	complemented
171	C₅×#121	C₂³	1	8	yes	complemented
172	C₅×#121	C₂³	1	8	yes	complemented
173	C₅×#120	C₂³	1	16	yes	complemented
174	C₄×C₅×D₄	C₂³	1	4	yes	—
175	C₄×C₅×D₄	C₂³	1	4	yes	—
176	C₄×C₅×D₄	C₂³	1	4	yes	complemented
177	C₄×C₅×D₄	C₂³	1	4	yes	complemented
178	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
179	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	complemented
180	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
181	C₂×C₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
182	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
183	#4099	C₂³	1	16	yes	—
184	C₂×C₂²⋊Dic₅	C₂³	1	8	yes	—
185	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
186	C₂×C₂²⋊Dic₅	C₂³	1	8	yes	complemented
187	C₂×C₂²⋊Dic₅	C₂³	1	16	yes	complemented
188	#4093	C₂³	1	8	yes	—
189	#4092	C₂³	1	4	yes	—
190	#4092	C₂³	1	4	yes	—
191	Q₈×Dic₅	C₂³	1	4	yes	complemented
192	Q₈×Dic₅	C₂³	1	4	yes	complemented
193	Q₈×Dic₅	C₂³	1	8	yes	complemented
194	#4086	C₂³	1	8	yes	—
195	#4085	C₂³	1	16	yes	—
196	#4085	C₂³	1	16	yes	—
197	#4085	C₂³	1	16	yes	complemented
198	#4085	C₂³	1	16	yes	complemented
199	#4084	C₂³	1	4	yes	—
200	#4084	C₂³	1	4	yes	—
201	#4084	C₂³	1	4	yes	—
202	#4084	C₂³	1	4	yes	—
203	#4084	C₂³	1	8	yes	—
204	#4084	C₂³	1	8	yes	complemented
205	#4084	C₂³	1	8	yes	complemented
206	#4083	C₂³	1	8	yes	—
207	#4083	C₂³	1	16	yes	—
208	#4083	C₂³	1	16	yes	—
209	#4083	C₂³	1	16	yes	—
210	#4082	C₂³	1	4	yes	complemented
211	#4082	C₂³	1	4	yes	complemented
212	#4081	C₂³	1	8	yes	—
213	#4081	C₂³	1	16	yes	complemented
214	D₄×Dic₅	C₂³	1	8	yes	—
215	D₄×Dic₅	C₂³	1	8	yes	—
216	D₄×Dic₅	C₂³	1	4	yes	—
217	D₄×Dic₅	C₂³	1	4	yes	—
218	D₄×Dic₅	C₂³	1	8	yes	—
219	D₄×Dic₅	C₂³	1	16	yes	—
220	D₄×Dic₅	C₂³	1	8	yes	—
221	D₄×Dic₅	C₂³	1	4	yes	complemented
222	D₄×Dic₅	C₂³	1	4	yes	complemented
223	D₄×Dic₅	C₂³	1	4	yes	complemented
224	D₄×Dic₅	C₂³	1	4	yes	complemented
225	D₄×Dic₅	C₂³	1	8	yes	complemented
226	D₄×Dic₅	C₂³	1	16	yes	complemented
227	D₄×Dic₅	C₂³	1	16	yes	complemented
228	D₄×Dic₅	C₂³	1	16	yes	complemented
229	D₄×Dic₅	C₂³	1	16	yes	complemented
230	#4076	C₂³	1	8	yes	—
231	#4076	C₂³	1	8	yes	—
232	#4075	C₂³	1	16	yes	—
233	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
234	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
235	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
236	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
237	C₂×#685	C₂³	1	2	yes	—
238	C₂×#685	C₂³	1	2	yes	—
239	C₂×#685	C₂³	1	8	yes	—
240	C₂×#685	C₂³	1	8	yes	—
241	#4072	C₂³	1	4	yes	—
242	#4072	C₂³	1	16	yes	complemented
243	#4072	C₂³	1	8	yes	complemented
244	#4072	C₂³	1	8	yes	complemented
245	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊Dic₅	C₂³	1	8	yes	complemented
247	C₂×C₄⋊Dic₅	C₂³	1	4	yes	complemented
248	C₂×C₄⋊Dic₅	C₂³	1	8	yes	complemented
249	#4070	C₂³	1	4	yes	—
250	#4070	C₂³	1	4	yes	—
251	#4070	C₂³	1	8	yes	—
252	#4070	C₂³	1	8	yes	complemented
253	#4070	C₂³	1	8	yes	complemented
254	C₂×#683	C₂³	1	2	yes	—
255	C₂×#683	C₂³	1	8	yes	complemented
256	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
257	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
258	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₅	C₂³	1	8	yes	complemented
260	C₂×C₄×Dic₅	C₂³	1	8	yes	complemented
261	#4044	C₂³	1	16	yes	complemented
262	#4044	C₂³	1	16	yes	complemented
263	#4043	C₂³	1	4	yes	—
264	#4043	C₂³	1	4	yes	—
265	#4043	C₂³	1	8	yes	—
266	#4043	C₂³	1	8	yes	complemented
267	#4043	C₂³	1	8	yes	complemented
268	#4039	C₂³	1	4	yes	—
269	#4039	C₂³	1	4	yes	—
270	#4038	C₂³	1	4	yes	—
271	#4038	C₂³	1	4	yes	—
272	#4038	C₂³	1	8	yes	—
273	#4038	C₂³	1	8	yes	complemented
274	#4038	C₂³	1	8	yes	complemented
275	D₅×C₄⋊C₄	C₂³	1	4	yes	—
276	D₅×C₄⋊C₄	C₂³	1	4	yes	—
277	#4036	C₂³	1	4	yes	complemented
278	#4036	C₂³	1	4	yes	complemented
279	#4036	C₂³	1	8	yes	complemented
280	#4035	C₂³	1	16	yes	complemented
281	#4034	C₂³	1	8	yes	complemented
282	#4033	C₂³	1	4	yes	complemented
283	#4033	C₂³	1	4	yes	complemented
284	#4032	C₂³	1	16	yes	complemented
285	#4032	C₂³	1	16	yes	complemented
286	#4031	C₂³	1	16	yes	complemented
287	#4031	C₂³	1	16	yes	complemented
288	#4029	C₂³	1	8	yes	—
289	#4029	C₂³	1	16	yes	—
290	#4029	C₂³	1	8	yes	—
291	#4029	C₂³	1	16	yes	complemented
292	#4029	C₂³	1	16	yes	complemented
293	#4027	C₂³	1	8	yes	—
294	#4027	C₂³	1	8	yes	—
295	#4027	C₂³	1	8	yes	—
296	#4027	C₂³	1	16	yes	—
297	#4027	C₂³	1	8	yes	—
298	#4027	C₂³	1	16	yes	complemented
299	#4027	C₂³	1	16	yes	complemented
300	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
301	D₅×C₂²⋊C₄	C₂³	1	8	yes	—
302	#4025	C₂³	1	8	yes	complemented
303	#4025	C₂³	1	16	yes	complemented
304	#4025	C₂³	1	8	yes	complemented
305	#4024	C₂³	1	16	yes	complemented
306	#4024	C₂³	1	16	yes	complemented
307	#4024	C₂³	1	16	yes	complemented
308	#4023	C₂³	1	8	yes	complemented
309	#4023	C₂³	1	8	yes	complemented
310	C₄×D₂₀	C₂³	1	4	yes	—
311	C₄×D₂₀	C₂³	1	4	yes	—
312	C₄²×D₅	C₂³	1	2	yes	—
313	C₄²×D₅	C₂³	1	2	yes	—
314	C₄²×D₅	C₂³	1	2	yes	—
315	C₄²×D₅	C₂³	1	2	yes	—
316	#4016	C₂³	1	4	yes	complemented
317	#4015	C₂³	1	2	yes	complemented
318	#4015	C₂³	1	2	yes	complemented
319	C₄×Dic₁₀	C₂³	1	4	yes	complemented
320	C₄×Dic₁₀	C₂³	1	4	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	—	5	1	no	—
327	#3496	D₅	1	1	yes	characteristic, complemented
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	8	yes	—
341	C₂⁴×C₅	C₂⁴	1	2	yes	—
342	C₂³×D₅	—	2	8	no	—
343	C₂³×D₅	—	4	4	no	—
344	C₂³×D₅	—	4	4	no	—
345	C₂³×D₅	C₂⁴	1	1	yes	characteristic
346	C₂³×D₅	C₂⁴	1	4	yes	—
347	C₂³×D₅	C₂⁴	1	4	yes	—
348	C₂³×D₅	C₂⁴	1	2	yes	—
349	C₅×#41	—	2	32	no	—
350	C₅×#41	—	2	16	no	—
351	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
352	C₂×C₅×D₄	—	2	32	no	—
353	C₂×C₅×D₄	—	2	32	no	—
354	C₂×C₅×D₄	—	4	8	no	—
355	C₂×C₅×D₄	#41	1	8	yes	complemented
356	C₂×C₅×D₄	C₂⁴	1	4	yes	—
357	C₂×C₅×D₄	C₂⁴	1	16	yes	—
358	C₂×C₅×D₄	C₂⁴	1	8	yes	—
359	C₂×C₅×D₄	C₂⁴	1	4	yes	—
360	C₂×C₅×D₄	C₂⁴	1	4	yes	—
361	C₂×C₅×D₄	C₂⁴	1	8	yes	—
362	C₂×C₅×D₄	C₂⁴	1	4	yes	—
363	C₂²×C₄×C₅	—	4	4	no	—
364	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
366	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
367	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
368	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
370	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
371	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
372	C₂×C₂²⋊D₅	—	2	8	no	—
373	C₂×C₂²⋊D₅	—	4	16	no	—
374	C₂×C₂²⋊D₅	—	4	16	no	—
375	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
376	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
377	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
378	C₂×C₂²⋊D₅	C₂⁴	1	16	yes	—
379	C₂×C₂²⋊D₅	C₂⁴	1	16	yes	—
380	C₂²×Dic₅	—	4	4	no	—
381	C₂²×Dic₅	—	4	16	no	—
382	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₅	C₂⁴	1	4	yes	—
384	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₅	C₂⁴	1	8	yes	—
386	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₅	C₂⁴	1	8	yes	—
388	C₂²×Dic₅	C₂⁴	1	8	yes	—
389	C₂²×Dic₅	C₂⁴	1	2	yes	—
390	C₂²×Dic₅	C₂⁴	1	4	yes	—
391	C₂²×Dic₅	C₂⁴	1	8	yes	—
392	C₂²×Dic₅	C₂⁴	1	16	yes	—
393	#711	—	2	16	no	—
394	#711	—	4	16	no	—
395	#711	—	4	16	no	—
396	#711	—	4	16	no	—
397	#711	—	4	8	no	—
398	D₄×D₅	—	2	16	no	—
399	D₄×D₅	—	2	16	no	—
400	C₂×D₂₀	—	2	4	no	—
401	C₂×D₂₀	C₂⁴	1	4	yes	—
402	C₂×C₄×D₅	—	2	4	no	—
403	C₂×C₄×D₅	—	2	4	no	—
404	C₂×C₄×D₅	—	2	16	no	—
405	C₂×C₄×D₅	—	4	8	no	—
406	C₂×C₄×D₅	—	4	4	no	—
407	C₂×C₄×D₅	—	4	8	no	—
408	C₂×C₄×D₅	—	4	4	no	—
409	C₂×C₄×D₅	—	4	8	no	—
410	C₂×C₄×D₅	—	4	4	no	—
411	C₂×C₄×D₅	—	4	2	no	—
412	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
413	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
414	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
415	C₂×C₄×D₅	C₂⁴	1	4	yes	—
416	C₂×C₄×D₅	C₂⁴	1	4	yes	—
417	C₂×C₄×D₅	C₂⁴	1	4	yes	—
418	C₂×C₄×D₅	C₂⁴	1	2	yes	—
419	C₂×C₄×D₅	C₂⁴	1	2	yes	—
420	C₂×C₄×D₅	C₂⁴	1	2	yes	—
421	C₂×C₄×D₅	C₂⁴	1	4	yes	—
422	C₂×C₄×D₅	C₂⁴	1	4	yes	—
423	C₂×C₄×D₅	C₂⁴	1	4	yes	—
424	C₂×C₄×D₅	C₂⁴	1	2	yes	—
425	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
426	C₂×Dic₁₀	—	4	8	no	—
427	C₂×Dic₁₀	C₂⁴	1	4	yes	—
428	C₂×Dic₁₀	C₂⁴	1	8	yes	—
429	C₂×Dic₁₀	C₂⁴	1	4	yes	—
430	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
431	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
432	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
433	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
434	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
435	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
436	C₅×C₂²⋊C₄	C₂⁴	1	16	yes	—
437	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
438	C₄²×C₅	C₂⁴	1	2	yes	—
439	C₄²×C₅	C₂⁴	1	2	yes	—
440	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
441	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
442	C₂²⋊Dic₅	C₂⁴	1	16	yes	—
443	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
444	C₂²⋊Dic₅	C₂⁴	1	16	yes	—
445	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
446	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
447	C₂²⋊Dic₅	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	16	yes	—
453	#685	C₂⁴	1	16	yes	—
454	C₄⋊Dic₅	C₂⁴	1	4	yes	—
455	C₄⋊Dic₅	C₂⁴	1	4	yes	—
456	C₄⋊Dic₅	C₂⁴	1	4	yes	—
457	C₄⋊Dic₅	C₂⁴	1	4	yes	—
458	C₄⋊Dic₅	C₂⁴	1	4	yes	—
459	C₄⋊Dic₅	C₂⁴	1	8	yes	—
460	C₄⋊Dic₅	C₂⁴	1	16	yes	—
461	C₄⋊Dic₅	C₂⁴	1	8	yes	—
462	C₄⋊Dic₅	C₂⁴	1	8	yes	—
463	#683	C₂⁴	1	8	yes	—
464	#683	C₂⁴	1	8	yes	—
465	#683	C₂⁴	1	8	yes	—
466	#683	C₂⁴	1	8	yes	—
467	#683	C₂⁴	1	8	yes	—
468	#683	C₂⁴	1	16	yes	—
469	C₄×Dic₅	C₂⁴	1	8	yes	—
470	C₄×Dic₅	C₂⁴	1	2	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	8	yes	—
477	C₄×Dic₅	C₂⁴	1	8	yes	—
478	C₄×Dic₅	C₂⁴	1	16	yes	—
479	C₂×H(5,𝔽₂)	C₂×D₅	1	2	yes	—
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	—	5	8	no	—
488	#554	—	5	4	no	—
489	#553	—	5	16	no	—
490	#553	—	5	8	no	—
491	#553	—	5	8	no	—
492	#553	—	5	8	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	—	5	4	no	—
500	#548	—	5	8	no	—
501	#547	—	5	8	no	—
502	#547	—	5	4	no	—
503	#547	C₂×D₅	1	4	yes	complemented
504	#546	—	5	8	no	—
505	#546	—	5	8	no	—
506	#546	—	5	8	no	—
507	#546	—	5	16	no	—
508	#546	—	5	16	no	—
509	#546	C₂×D₅	1	8	yes	complemented
510	D₄²	—	5	8	no	—
511	D₄²	—	5	8	no	—
512	D₄²	C₂×D₅	1	4	yes	complemented
513	#544	—	5	2	no	—
514	#543	—	5	4	no	—
515	#542	—	5	8	no	—
516	#540	—	5	8	no	—
517	#539	—	5	16	no	—
518	#539	—	5	8	no	—
519	#538	—	5	8	no	—
520	#538	—	5	8	no	—
521	#538	—	5	16	no	—
522	#537	C₂×D₅	1	2	yes	complemented
523	#535	—	5	4	no	—
524	#534	—	5	8	no	—
525	#534	C₂×D₅	1	4	yes	complemented
526	#533	—	5	2	no	—
527	#533	—	5	2	no	—
528	#533	—	5	2	no	—
529	#532	—	5	2	no	—
530	#532	—	5	2	no	—
531	#532	—	5	8	no	—
532	#532	C₂×D₅	1	2	yes	complemented
533	#529	—	5	4	no	—
534	#529	—	5	4	no	—
535	#529	—	5	16	no	—
536	#529	—	5	8	no	—
537	#529	—	5	4	no	—
538	#529	—	5	4	no	—
539	#529	—	5	4	no	—
540	#529	—	5	4	no	—
541	#525	—	5	4	no	—
542	#525	—	5	4	no	—
543	#525	—	5	8	no	—
544	#525	—	5	8	no	—
545	#525	—	5	8	no	—
546	#525	—	5	4	no	—
547	#525	—	5	8	no	—
548	#525	—	5	8	no	—
549	#525	—	5	8	no	—
550	#525	—	5	8	no	—
551	#525	—	5	16	no	—
552	C₂×#123	—	5	8	no	—
553	C₂×C₂²⋊Q₈	—	5	4	no	—
554	C₂×C₂²⋊Q₈	—	5	4	no	—
555	C₂×#121	—	5	4	no	—
556	C₂×#121	C₂×D₅	1	4	yes	complemented
557	C₂×#120	—	5	8	no	—
558	#520	—	5	4	no	—
559	#520	—	5	8	no	—
560	#518	—	5	2	no	—
561	#518	—	5	8	no	—
562	#518	—	5	8	no	—
563	C₄×#41	—	5	4	no	—
564	C₄×#41	—	5	8	no	—
565	C₄×#41	—	5	4	no	—
566	C₄×#41	—	5	4	no	—
567	C₂×C₄×D₄	—	5	1	no	—
568	C₂×C₄×D₄	—	5	8	no	—
569	C₂×C₄×D₄	—	5	8	no	—
570	C₂×C₄×D₄	—	5	2	no	—
571	C₂×C₄×D₄	—	5	4	no	—
572	C₂×C₄×D₄	—	5	4	no	—
573	C₂×C₄×D₄	—	5	4	no	—
574	C₂×C₄×D₄	—	5	4	no	—
575	C₂×C₄×D₄	—	5	1	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	—	2	16	no	—
585	C₂³×C₅	—	4	2	no	—
586	C₂³×C₅	—	4	2	no	—
587	C₂³×C₅	—	4	8	no	—
588	C₂³×C₅	—	4	8	no	—
589	C₂³×C₅	C₂×#41	1	8	yes	complemented
590	C₂³×C₅	C₂⁵	1	8	yes	—
591	C₂³×C₅	C₂⁵	1	1	yes	characteristic
592	C₂³×C₅	C₂⁵	1	4	yes	—
593	C₂²×D₅	—	2	2	no	—
594	C₂²×D₅	—	2	2	no	—
595	C₂²×D₅	—	2	2	no	—
596	C₂²×D₅	—	2	4	no	—
597	C₂²×D₅	—	2	8	no	—
598	C₂²×D₅	—	2	8	no	—
599	C₂²×D₅	—	2	8	no	—
600	C₂²×D₅	—	2	8	no	—
601	C₂²×D₅	—	4	4	no	—
602	C₂²×D₅	—	4	2	no	—
603	C₂²×D₅	—	4	4	no	—
604	C₂²×D₅	—	4	2	no	—
605	C₂²×D₅	—	4	32	no	—
606	C₂²×D₅	C₂⁵	1	4	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×D₄	—	2	16	no	—
611	C₅×D₄	—	2	32	no	—
612	C₅×D₄	—	2	8	no	—
613	C₅×D₄	—	2	8	no	—
614	C₅×D₄	—	4	8	no	—
615	C₅×D₄	—	4	4	no	—
616	C₅×D₄	C₂×#41	1	16	yes	complemented
617	C₂×C₄×C₅	—	2	16	no	—
618	C₂×C₄×C₅	—	2	16	no	—
619	C₂×C₄×C₅	—	2	8	no	—
620	C₂×C₄×C₅	—	2	2	no	—
621	C₂×C₄×C₅	—	4	2	no	—
622	C₂×C₄×C₅	—	4	4	no	—
623	C₂×C₄×C₅	—	4	1	no	—
624	C₂×C₄×C₅	C₂×#41	1	4	yes	complemented
625	C₂×C₄×C₅	C₂⁵	1	8	yes	—
626	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
627	C₂×C₄×C₅	C₂⁵	1	2	yes	—
628	C₂×C₄×C₅	C₂⁵	1	4	yes	—
629	C₂×C₄×C₅	C₂⁵	1	2	yes	—
630	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
631	C₂²⋊D₅	—	2	16	no	—
632	C₂²⋊D₅	—	2	16	no	—
633	C₂²⋊D₅	—	2	16	no	—
634	C₂²⋊D₅	—	4	16	no	—
635	C₂²⋊D₅	—	4	16	no	—
636	C₂×Dic₅	—	2	2	no	—
637	C₂×Dic₅	—	2	2	no	—
638	C₂×Dic₅	—	2	8	no	—
639	C₂×Dic₅	—	2	16	no	—
640	C₂×Dic₅	—	4	8	no	—
641	C₂×Dic₅	—	4	4	no	—
642	C₂×Dic₅	—	4	2	no	—
643	C₂×Dic₅	—	4	1	no	—
644	C₂×Dic₅	—	4	16	no	—
645	C₂×Dic₅	—	4	8	no	—
646	C₂×Dic₅	—	4	8	no	—
647	C₂×Dic₅	C₂⁵	1	2	yes	—
648	C₂×Dic₅	C₂⁵	1	2	yes	—
649	C₂×Dic₅	C₂⁵	1	8	yes	—
650	C₂×Dic₅	C₂⁵	1	4	yes	—
651	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
652	C₂×Dic₅	C₂⁵	1	8	yes	—
653	C₂×Dic₅	C₂⁵	1	1	yes	characteristic
654	D₂₀	—	2	8	no	—
655	C₄×D₅	—	2	2	no	—
656	C₄×D₅	—	2	8	no	—
657	C₄×D₅	—	2	4	no	—
658	C₄×D₅	—	2	4	no	—
659	C₄×D₅	—	2	4	no	—
660	C₄×D₅	—	2	2	no	—
661	C₄×D₅	—	2	8	no	—
662	C₄×D₅	—	2	2	no	—
663	C₄×D₅	—	2	8	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	H(5,𝔽₂)	1	4	yes	complemented
669	Dic₁₀	—	2	8	no	—
670	Dic₁₀	—	4	8	no	—
671	Dic₁₀	—	4	4	no	—
672	C₂⁵	—	5	2	no	—
673	H(5,𝔽₂)	—	2	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	—	20	16	no	—
680	C₂×#41	C₂²×D₅	1	4	yes	—
681	C₂×#41	C₂²×D₅	1	8	yes	—
682	C₂²×Q₈	—	5	4	no	—
683	C₂²×D₄	—	5	2	no	—
684	C₂²×D₄	—	5	8	no	—
685	C₂²×D₄	—	5	8	no	—
686	C₂²×D₄	—	5	4	no	—
687	C₂²×D₄	—	5	4	no	—
688	C₂²×D₄	—	5	1	no	—
689	C₂²×D₄	—	10	8	no	—
690	C₂²×D₄	C₂²×D₅	1	8	yes	—
691	C₂²×D₄	C₂²×D₅	1	8	yes	—
692	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
693	C₂²×D₄	C₂²×D₅	1	4	yes	complemented
694	C₂³×C₄	—	5	2	no	—
695	C₂³×C₄	—	5	8	no	—
696	C₂³×C₄	—	5	1	no	—
697	C₂³×C₄	—	5	4	no	—
698	C₂³×C₄	—	5	1	no	—
699	C₂³×C₄	—	5	1	no	—
700	C₂³×C₄	—	5	2	no	—
701	C₂³×C₄	—	5	4	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	8	no	—
709	C₄⋊Q₈	—	5	2	no	—
710	C₄⋊Q₈	—	5	2	no	—
711	C₄⋊Q₈	C₂²×D₅	1	2	yes	complemented
712	#127	—	5	8	no	—
713	#127	C₂²×D₅	1	2	yes	complemented
714	#126	—	5	16	no	—
715	#126	—	5	16	no	—
716	#126	—	5	8	no	—
717	#126	—	5	8	no	—
718	#126	—	5	16	no	—
719	#125	—	5	4	no	—
720	#125	—	5	4	no	—
721	#125	—	5	16	no	—
722	#125	—	5	8	no	—
723	#125	—	5	4	no	—
724	#124	—	5	8	no	—
725	#124	—	5	4	no	—
726	#124	—	5	4	no	—
727	#124	—	5	16	no	—
728	#124	—	5	16	no	—
729	#124	C₂²×D₅	1	4	yes	complemented
730	#123	—	5	8	no	—
731	#123	—	5	16	no	—
732	#123	—	5	16	no	—
733	#123	—	5	8	no	—
734	#123	—	5	16	no	—
735	#123	—	5	16	no	—
736	#123	—	5	16	no	—
737	#123	—	5	8	no	—
738	#123	—	5	16	no	—
739	#123	—	5	16	no	—
740	#123	C₂²×D₅	1	16	yes	complemented
741	C₂²⋊Q₈	—	5	4	no	—
742	C₂²⋊Q₈	—	5	4	no	—
743	C₂²⋊Q₈	—	5	4	no	—
744	C₂²⋊Q₈	—	5	8	no	—
745	C₂²⋊Q₈	—	5	8	no	—
746	C₂²⋊Q₈	—	5	8	no	—
747	C₂²⋊Q₈	—	5	4	no	—
748	C₂²⋊Q₈	—	5	4	no	—
749	C₂²⋊Q₈	—	5	8	no	—
750	C₂²⋊Q₈	—	5	8	no	—
751	C₂²⋊Q₈	—	5	8	no	—
752	C₂²⋊Q₈	—	5	4	no	—
753	C₂²⋊Q₈	—	5	16	no	—
754	C₂²⋊Q₈	—	5	16	no	—
755	C₂²⋊Q₈	—	5	16	no	—
756	C₂²⋊Q₈	C₂²×D₅	1	8	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	4	no	—
763	#121	—	5	4	no	—
764	#121	—	5	16	no	—
765	#121	—	5	16	no	—
766	#121	—	5	16	no	—
767	#121	—	5	16	no	—
768	#121	—	5	8	no	—
769	#121	—	5	8	no	—
770	#121	C₂²×D₅	1	4	yes	—
771	#121	C₂²×D₅	1	8	yes	—
772	#121	C₂²×D₅	1	4	yes	—
773	#121	C₂²×D₅	1	8	yes	complemented
774	#121	C₂²×D₅	1	8	yes	complemented
775	#121	C₂²×D₅	1	8	yes	complemented
776	#120	—	5	16	no	—
777	#120	—	5	8	no	—
778	#120	—	5	16	no	—
779	#120	—	5	16	no	—
780	#120	—	5	16	no	—
781	#120	C₂²×D₅	1	16	yes	complemented
782	C₄×Q₈	—	5	4	no	—
783	C₄×Q₈	—	5	4	no	—
784	C₄×Q₈	—	5	8	no	—
785	C₄×Q₈	—	5	4	no	—
786	C₄×Q₈	—	5	4	no	—
787	C₄×Q₈	—	5	4	no	—
788	C₄×Q₈	—	5	4	no	—
789	C₄×D₄	—	5	4	no	—
790	C₄×D₄	—	5	4	no	—
791	C₄×D₄	—	5	8	no	—
792	C₄×D₄	—	5	16	no	—
793	C₄×D₄	—	5	4	no	—
794	C₄×D₄	—	5	16	no	—
795	C₄×D₄	—	5	16	no	—
796	C₄×D₄	—	5	8	no	—
797	C₄×D₄	—	5	16	no	—
798	C₄×D₄	—	5	8	no	—
799	C₄×D₄	—	5	8	no	—
800	C₄×D₄	—	5	4	no	—
801	C₄×D₄	—	5	8	no	—
802	C₄×D₄	—	5	16	no	—
803	C₄×D₄	—	5	4	no	—
804	C₄×D₄	—	5	4	no	—
805	C₄×D₄	—	5	8	no	—
806	C₄×D₄	—	5	8	no	—
807	C₄×D₄	—	5	8	no	—
808	C₄×D₄	—	5	8	no	—
809	C₄×D₄	—	5	4	no	—
810	C₄×D₄	—	5	4	no	—
811	C₄×D₄	—	5	8	no	—
812	C₄×D₄	—	5	8	no	—
813	C₄×D₄	—	5	8	no	—
814	C₄×D₄	—	5	16	no	—
815	C₄×D₄	—	5	16	no	—
816	C₄×D₄	—	5	16	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	4	yes	complemented
823	C₄×D₄	C₂²×D₅	1	4	yes	complemented
824	#117	—	5	4	no	—
825	#117	—	5	8	no	—
826	#117	—	5	16	no	—
827	#117	—	5	8	no	—
828	#117	—	5	4	no	—
829	#117	—	5	8	no	—
830	#117	—	5	8	no	—
831	#117	—	5	8	no	—
832	#117	—	5	4	no	—
833	#117	—	5	8	no	—
834	#117	—	5	8	no	—
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	8	no	—
840	C₂×C₄⋊C₄	—	5	8	no	—
841	C₂×C₄⋊C₄	—	5	4	no	—
842	C₂×C₄⋊C₄	—	5	4	no	—
843	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
844	C₂×C₄⋊C₄	C₂²×D₅	1	4	yes	complemented
845	C₂×C₂²⋊C₄	—	5	2	no	—
846	C₂×C₂²⋊C₄	—	5	8	no	—
847	C₂×C₂²⋊C₄	—	5	8	no	—
848	C₂×C₂²⋊C₄	—	5	16	no	—
849	C₂×C₂²⋊C₄	—	5	2	no	—
850	C₂×C₂²⋊C₄	—	5	2	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	8	no	—
855	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
856	C₂×C₂²⋊C₄	C₂²×D₅	1	8	yes	complemented
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	8	no	—
862	C₂×C₄²	—	5	2	no	—
863	C₂×C₄²	—	5	2	no	—
864	C₂×C₄²	—	5	2	no	—
865	C₂×C₄²	—	5	2	no	—
866	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
867	C₂²×C₅	—	2	4	no	—
868	C₂²×C₅	—	2	1	no	—
869	C₂²×C₅	—	2	4	no	—
870	C₂²×C₅	—	2	1	no	—
871	C₂²×C₅	—	2	8	no	—
872	C₂²×C₅	—	2	8	no	—
873	C₂²×C₅	—	2	8	no	—
874	C₂²×C₅	—	4	8	no	—
875	C₂²×C₅	—	8	16	no	—
876	C₂²×C₅	C₂²×#41	1	2	yes	—
877	C₂²×C₅	C₂²×#41	1	8	yes	—
878	C₂²×C₅	C₂⁶	1	1	yes	characteristic
879	C₂×D₅	—	2	8	no	—
880	C₂×D₅	—	2	1	no	—
881	C₂×D₅	—	2	1	no	—
882	C₂×D₅	—	2	1	no	—
883	C₂×D₅	—	2	1	no	—
884	C₂×D₅	—	2	4	no	—
885	C₂×D₅	—	2	4	no	—
886	C₂×D₅	—	2	4	no	—
887	C₂×D₅	—	4	16	no	—
888	C₂×D₅	—	4	16	no	—
889	C₂×D₅	—	4	8	no	—
890	C₂×D₅	C₂×H(5,𝔽₂)	1	2	yes	—
891	C₂×D₅	#585	1	2	yes	—
892	C₄×C₅	—	2	8	no	—
893	C₄×C₅	—	2	4	no	—
894	C₄×C₅	—	2	1	no	—
895	C₄×C₅	—	2	2	no	—
896	C₄×C₅	C₂²×#41	1	4	yes	—
897	C₄×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
898	Dic₅	—	2	2	no	—
899	Dic₅	—	2	8	no	—
900	Dic₅	—	2	1	no	—
901	Dic₅	—	2	4	no	—
902	Dic₅	—	2	8	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	2	no	—
909	C₂⁴	—	10	8	no	—
910	C₂⁴	—	20	4	no	—
911	C₂⁴	—	20	4	no	—
912	C₂⁴	C₂³×D₅	1	8	yes	—
913	C₂⁴	C₂³×D₅	1	2	yes	—
914	#41	—	2	32	no	—
915	#41	—	2	16	no	—
916	#41	—	10	16	no	—
917	#41	—	20	16	no	—
918	#41	—	20	16	no	—
919	#41	—	20	16	no	—
920	#41	—	20	8	no	—
921	C₂×Q₈	—	5	4	no	—
922	C₂×Q₈	—	5	4	no	—
923	C₂×Q₈	—	5	8	no	—
924	C₂×Q₈	—	20	8	no	—
925	C₂×Q₈	C₂³×D₅	1	4	yes	—
926	C₂×D₄	—	2	32	no	—
927	C₂×D₄	—	2	32	no	—
928	C₂×D₄	—	4	8	no	—
929	C₂×D₄	—	5	8	no	—
930	C₂×D₄	—	5	8	no	—
931	C₂×D₄	—	5	8	no	—
932	C₂×D₄	—	5	16	no	—
933	C₂×D₄	—	5	16	no	—
934	C₂×D₄	—	5	4	no	—
935	C₂×D₄	—	10	8	no	—
936	C₂×D₄	—	10	16	no	—
937	C₂×D₄	—	10	16	no	—
938	C₂×D₄	—	10	4	no	—
939	C₂×D₄	—	20	16	no	—
940	C₂×D₄	—	20	16	no	—
941	C₂×D₄	#711	1	8	yes	complemented
942	C₂×D₄	C₂³×D₅	1	8	yes	—
943	C₂×D₄	C₂³×D₅	1	16	yes	—
944	C₂×D₄	C₂³×D₅	1	4	yes	—
945	C₂×D₄	C₂³×D₅	1	4	yes	—
946	C₂×D₄	C₂³×D₅	1	4	yes	—
947	C₂×D₄	C₂³×D₅	1	8	yes	—
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	1	no	—
953	C₂²×C₄	—	5	4	no	—
954	C₂²×C₄	—	5	8	no	—
955	C₂²×C₄	—	5	1	no	—
956	C₂²×C₄	—	5	8	no	—
957	C₂²×C₄	—	5	8	no	—
958	C₂²×C₄	—	5	2	no	—
959	C₂²×C₄	—	5	4	no	—
960	C₂²×C₄	—	5	8	no	—
961	C₂²×C₄	—	5	16	no	—
962	C₂²×C₄	—	5	2	no	—
963	C₂²×C₄	—	5	2	no	—
964	C₂²×C₄	—	5	2	no	—
965	C₂²×C₄	—	5	1	no	—
966	C₂²×C₄	—	5	1	no	—
967	C₂²×C₄	—	5	1	no	—
968	C₂²×C₄	—	5	4	no	—
969	C₂²×C₄	—	5	4	no	—
970	C₂²×C₄	—	5	4	no	—
971	C₂²×C₄	—	5	2	no	—
972	C₂²×C₄	—	5	4	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	8	no	—
983	C₂²×C₄	—	20	4	no	—
984	C₂²×C₄	—	20	2	no	—
985	C₂²×C₄	—	20	4	no	—
986	C₂²×C₄	—	20	16	no	—
987	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
988	C₂²×C₄	C₂³×D₅	1	8	yes	—
989	C₂²×C₄	C₂³×D₅	1	8	yes	—
990	C₂²×C₄	C₂³×D₅	1	4	yes	—
991	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
992	C₂²×C₄	C₂³×D₅	1	2	yes	—
993	C₂²×C₄	C₂³×D₅	1	4	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	4	no	—
999	C₄⋊C₄	—	5	8	no	—
1000	C₄⋊C₄	—	5	8	no	—
1001	C₄⋊C₄	—	5	16	no	—
1002	C₄⋊C₄	—	5	8	no	—
1003	C₄⋊C₄	—	5	16	no	—
1004	C₄⋊C₄	—	5	4	no	—
1005	C₄⋊C₄	—	5	8	no	—
1006	C₄⋊C₄	—	5	8	no	—
1007	C₄⋊C₄	—	5	8	no	—
1008	C₄⋊C₄	—	5	8	no	—
1009	C₄⋊C₄	—	5	4	no	—
1010	C₄⋊C₄	C₂³×D₅	1	4	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	16	no	—
1017	C₂²⋊C₄	—	5	8	no	—
1018	C₂²⋊C₄	—	5	16	no	—
1019	C₂²⋊C₄	—	5	8	no	—
1020	C₂²⋊C₄	—	5	8	no	—
1021	C₂²⋊C₄	—	5	8	no	—
1022	C₂²⋊C₄	—	5	8	no	—
1023	C₂²⋊C₄	—	5	8	no	—
1024	C₂²⋊C₄	—	5	8	no	—
1025	C₂²⋊C₄	—	5	8	no	—
1026	C₂²⋊C₄	—	5	16	no	—
1027	C₂²⋊C₄	—	5	16	no	—
1028	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
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	—	5	8	no	—
1042	C₄²	C₂³×D₅	1	2	yes	—
1043	C₄²	C₂³×D₅	1	2	yes	—
1044	C₂×C₅	—	2	2	no	—
1045	C₂×C₅	—	2	8	no	—
1046	C₂×C₅	—	4	8	no	—
1047	C₂×C₅	C₂³×#41	1	1	yes	characteristic
1048	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1049	C₂×C₅	C₂×#585	1	1	yes	characteristic
1050	D₅	—	2	2	no	—
1051	D₅	—	2	2	no	—
1052	D₅	—	4	4	no	—
1053	C₂³	—	2	16	no	—
1054	C₂³	—	4	2	no	—
1055	C₂³	—	4	2	no	—
1056	C₂³	—	4	8	no	—
1057	C₂³	—	4	8	no	—
1058	C₂³	—	5	1	no	—
1059	C₂³	—	5	1	no	—
1060	C₂³	—	5	4	no	—
1061	C₂³	—	10	2	no	—
1062	C₂³	—	10	2	no	—
1063	C₂³	—	10	8	no	—
1064	C₂³	—	10	8	no	—
1065	C₂³	—	10	2	no	—
1066	C₂³	—	10	8	no	—
1067	C₂³	—	10	8	no	—
1068	C₂³	—	10	4	no	—
1069	C₂³	—	20	2	no	—
1070	C₂³	—	20	4	no	—
1071	C₂³	—	20	2	no	—
1072	C₂³	—	20	4	no	—
1073	C₂³	—	20	32	no	—
1074	C₂³	C₂×#711	1	8	yes	complemented
1075	C₂³	C₂⁴×D₅	1	8	yes	—
1076	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1077	C₂³	C₂⁴×D₅	1	4	yes	—
1078	Q₈	—	2	8	no	—
1079	Q₈	—	10	8	no	—
1080	Q₈	—	20	8	no	—
1081	Q₈	—	20	4	no	—
1082	D₄	—	2	32	no	—
1083	D₄	—	2	16	no	—
1084	D₄	—	2	8	no	—
1085	D₄	—	2	8	no	—
1086	D₄	—	4	8	no	—
1087	D₄	—	4	4	no	—
1088	D₄	—	10	16	no	—
1089	D₄	—	10	16	no	—
1090	D₄	—	10	16	no	—
1091	D₄	—	10	8	no	—
1092	D₄	—	20	16	no	—
1093	D₄	—	20	16	no	—
1094	D₄	C₂×#711	1	16	yes	complemented
1095	C₂×C₄	—	2	16	no	—
1096	C₂×C₄	—	2	16	no	—
1097	C₂×C₄	—	2	2	no	—
1098	C₂×C₄	—	2	8	no	—
1099	C₂×C₄	—	4	4	no	—
1100	C₂×C₄	—	4	2	no	—
1101	C₂×C₄	—	4	1	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	—	5	8	no	—
1110	C₂×C₄	—	10	2	no	—
1111	C₂×C₄	—	10	8	no	—
1112	C₂×C₄	—	10	2	no	—
1113	C₂×C₄	—	10	8	no	—
1114	C₂×C₄	—	10	4	no	—
1115	C₂×C₄	—	10	2	no	—
1116	C₂×C₄	—	10	8	no	—
1117	C₂×C₄	—	10	16	no	—
1118	C₂×C₄	—	10	2	no	—
1119	C₂×C₄	—	10	4	no	—
1120	C₂×C₄	—	10	4	no	—
1121	C₂×C₄	—	10	2	no	—
1122	C₂×C₄	—	10	8	no	—
1123	C₂×C₄	—	20	4	no	—
1124	C₂×C₄	—	20	4	no	—
1125	C₂×C₄	—	20	4	no	—
1126	C₂×C₄	—	20	2	no	—
1127	C₂×C₄	—	20	2	no	—
1128	C₂×C₄	—	20	4	no	—
1129	C₂×C₄	—	20	8	no	—
1130	C₂×C₄	—	20	16	no	—
1131	C₂×C₄	—	20	1	no	—
1132	C₂×C₄	—	20	8	no	—
1133	C₂×C₄	—	20	8	no	—
1134	C₂×C₄	C₂×#711	1	4	yes	complemented
1135	C₂×C₄	C₂⁴×D₅	1	8	yes	—
1136	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1137	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
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	1	no	—
1143	C₂²	—	2	4	no	—
1144	C₂²	—	2	1	no	—
1145	C₂²	—	2	4	no	—
1146	C₂²	—	2	8	no	—
1147	C₂²	—	2	8	no	—
1148	C₂²	—	2	8	no	—
1149	C₂²	—	4	8	no	—
1150	C₂²	—	5	2	no	—
1151	C₂²	—	5	2	no	—
1152	C₂²	—	8	16	no	—
1153	C₂²	—	10	8	no	—
1154	C₂²	—	10	1	no	—
1155	C₂²	—	10	1	no	—
1156	C₂²	—	10	1	no	—
1157	C₂²	—	10	1	no	—
1158	C₂²	—	10	4	no	—
1159	C₂²	—	10	4	no	—
1160	C₂²	—	10	4	no	—
1161	C₂²	—	20	16	no	—
1162	C₂²	—	20	16	no	—
1163	C₂²	—	20	8	no	—
1164	C₂²	C₂²×#711	1	8	yes	—
1165	C₂²	C₂²×#711	1	2	yes	—
1166	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1167	C₄	—	2	8	no	—
1168	C₄	—	2	1	no	—
1169	C₄	—	2	4	no	—
1170	C₄	—	2	2	no	—
1171	C₄	—	5	2	no	—
1172	C₄	—	10	2	no	—
1173	C₄	—	10	1	no	—
1174	C₄	—	10	4	no	—
1175	C₄	—	10	8	no	—
1176	C₄	—	10	2	no	—
1177	C₄	—	10	8	no	—
1178	C₄	C₂²×#711	1	4	yes	—
1179	C₄	D₅×H(5,𝔽₂)	1	2	yes	—
1180	C₂	—	2	2	no	—
1181	C₂	—	2	8	no	—
1182	C₂	—	4	8	no	—
1183	C₂	—	10	2	no	—
1184	C₂	—	10	2	no	—
1185	C₂	—	20	4	no	—
1186	C₂	C₂³×#711	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×#3496	C₂
hypercenter	#3496	D₅
hypocenter	C₅	#62773
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #3496

Complements

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

N	H ≅ G/N	type
1. C₅×#3496	C₂	semidirect
2. #10619185	C₂	semidirect
3. Dic₅×H(5,𝔽₂)	C₂	semidirect
4. #10618586	C₂	semidirect
5. #10618576	C₂	semidirect
6. #10618537	C₂	semidirect
7. #10618529	C₂	semidirect
8. #10618513	C₂	semidirect
9. D₄×#711	C₂	semidirect
10. #10618282	C₂	semidirect
11. #10618265	C₂	semidirect
12. #10618210	C₂	semidirect
13. #10618196	C₂	semidirect
14. #10618124	C₂	semidirect
15. #10618120	C₂	semidirect
16. #10617838	C₂	semidirect
17. C₂×#65940	C₂	semidirect
18. C₂×C₄×D₄×D₅	C₂	semidirect
19. #10617667	C₂	semidirect
21. C₂²×#711	C₂²	semidirect
23. C₂³×C₄×D₅	C₂²	semidirect
24. C₅×#547	C₂²	semidirect
25. C₅×#546	C₂²	semidirect
26. C₅×D₄²	C₂²	semidirect
27. C₅×#537	C₂²	semidirect
28. C₅×#534	C₂²	semidirect
29. C₅×#532	C₂²	semidirect
30. C₂×C₅×#121	C₂²	semidirect
32. #66164	C₂²	semidirect
33. #66163	C₂²	semidirect
34. #66163	C₂²	semidirect
35. #66162	C₂²	semidirect
36. #66161	C₂²	semidirect
37. #66161	C₂²	semidirect
38. #41×Dic₅	C₂²	semidirect
39. #41×Dic₅	C₂²	semidirect
40. #66140	C₂²	semidirect
41. #66138	C₂²	semidirect
42. D₄×C₂²⋊D₅	C₂²	semidirect
43. D₄×C₂²⋊D₅	C₂²	semidirect
44. C₂×#4084	C₂²	semidirect
45. C₂×#4083	C₂²	semidirect
47. #66132	C₂²	semidirect
48. #66132	C₂²	semidirect
50. C₂×D₄×Dic₅	C₂²	semidirect
51. C₂×D₄×Dic₅	C₂²	semidirect
52. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
53. C₂×#4070	C₂²	semidirect
54. #66066	C₂²	semidirect
55. #66062	C₂²	semidirect
56. #66062	C₂²	semidirect
57. #66052	C₂²	semidirect
58. #66050	C₂²	semidirect
59. #66050	C₂²	semidirect
60. #66015	C₂²	semidirect
61. #66014	C₂²	semidirect
62. #66014	C₂²	semidirect
63. #65999	C₂²	semidirect
64. #65992	C₂²	semidirect
65. #65992	C₂²	semidirect
66. #65983	C₂²	semidirect
67. #65977	C₂²	semidirect
68. #65973	C₂²	semidirect
69. #65969	C₂²	semidirect
70. #65958	C₂²	semidirect
71. #65953	C₂²	semidirect
72. #65952	C₂²	semidirect
73. #65951	C₂²	semidirect
74. #65951	C₂²	semidirect
75. #65948	C₂²	semidirect
76. #65945	C₂²	semidirect
77. #65940	C₂²	semidirect
78. #65940	C₂²	semidirect
79. #65940	C₂²	semidirect
80. #65940	C₂²	semidirect
81. #65940	C₂²	semidirect
82. #65940	C₂²	semidirect
83. #65940	C₂²	semidirect
84. #65940	C₂²	semidirect
85. #65940	C₂²	semidirect
86. #65936	C₂²	semidirect
87. #65935	C₂²	semidirect
88. #65934	C₂²	semidirect
89. #65934	C₂²	semidirect
90. #65932	C₂²	semidirect
91. #65930	C₂²	semidirect
92. #65927	C₂²	semidirect
93. #65925	C₂²	semidirect
94. #65925	C₂²	semidirect
95. #65920	C₂²	semidirect
96. #65899	C₂²	semidirect
97. #65897	C₂²	semidirect
98. #65891	C₂²	semidirect
99. #65891	C₂²	semidirect
100. #65889	C₂²	semidirect
101. C₄×D₄×D₅	C₂²	semidirect
102. C₄×D₄×D₅	C₂²	semidirect
103. C₄×D₄×D₅	C₂²	semidirect
104. C₄×D₄×D₅	C₂²	semidirect
105. #65877	C₂²	semidirect
106. #65873	C₂²	semidirect
107. D₄×Dic₁₀	C₂²	semidirect
108. C₄×#711	C₂²	semidirect
109. C₄×#711	C₂²	semidirect
110. #65847	C₂²	semidirect
111. C₂×#4043	C₂²	semidirect
112. C₂×#4039	C₂²	semidirect
113. C₂×#4038	C₂²	semidirect
114. C₂×D₅×C₄⋊C₄	C₂²	semidirect
115. #65834	C₂²	semidirect
116. #65829	C₂²	semidirect
117. C₂×#4029	C₂²	semidirect
118. C₂×#4027	C₂²	semidirect
119. C₂×#4027	C₂²	semidirect
120. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
121. #65817	C₂²	semidirect
122. C₂×C₄×D₂₀	C₂²	semidirect
123. C₂×C₄²×D₅	C₂²	semidirect
124. #65804	C₂²	semidirect
133. C₂²×C₅×D₄	C₂³	semidirect
139. C₂³×Dic₅	C₂³	semidirect
144. C₂×#711	C₂³	semidirect
145. C₂×#711	C₂³	semidirect
161. C₂²×Dic₁₀	C₂³	semidirect
162. C₅×C₄⋊Q₈	C₂³	semidirect
163. C₅×#127	C₂³	semidirect
164. C₅×#124	C₂³	semidirect
165. C₅×#123	C₂³	semidirect
166. C₅×C₂²⋊Q₈	C₂³	semidirect
170. C₅×#121	C₂³	semidirect
171. C₅×#121	C₂³	semidirect
172. C₅×#121	C₂³	semidirect
173. C₅×#120	C₂³	semidirect
176. C₄×C₅×D₄	C₂³	semidirect
177. C₄×C₅×D₄	C₂³	semidirect
179. C₂×C₅×C₄⋊C₄	C₂³	semidirect
181. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
186. C₂×C₂²⋊Dic₅	C₂³	semidirect
187. C₂×C₂²⋊Dic₅	C₂³	semidirect
191. Q₈×Dic₅	C₂³	semidirect
192. Q₈×Dic₅	C₂³	semidirect
193. Q₈×Dic₅	C₂³	semidirect
197. #4085	C₂³	semidirect
198. #4085	C₂³	semidirect
204. #4084	C₂³	semidirect
205. #4084	C₂³	semidirect
210. #4082	C₂³	semidirect
211. #4082	C₂³	semidirect
213. #4081	C₂³	semidirect
221. D₄×Dic₅	C₂³	semidirect
222. D₄×Dic₅	C₂³	semidirect
223. D₄×Dic₅	C₂³	semidirect
224. D₄×Dic₅	C₂³	semidirect
225. D₄×Dic₅	C₂³	semidirect
226. D₄×Dic₅	C₂³	semidirect
227. D₄×Dic₅	C₂³	semidirect
228. D₄×Dic₅	C₂³	semidirect
229. D₄×Dic₅	C₂³	semidirect
242. #4072	C₂³	semidirect
243. #4072	C₂³	semidirect
244. #4072	C₂³	semidirect
246. C₂×C₄⋊Dic₅	C₂³	semidirect
247. C₂×C₄⋊Dic₅	C₂³	semidirect
248. C₂×C₄⋊Dic₅	C₂³	semidirect
252. #4070	C₂³	semidirect
253. #4070	C₂³	semidirect
255. C₂×#683	C₂³	semidirect
259. C₂×C₄×Dic₅	C₂³	semidirect
260. C₂×C₄×Dic₅	C₂³	semidirect
261. #4044	C₂³	semidirect
262. #4044	C₂³	semidirect
266. #4043	C₂³	semidirect
267. #4043	C₂³	semidirect
273. #4038	C₂³	semidirect
274. #4038	C₂³	semidirect
277. #4036	C₂³	semidirect
278. #4036	C₂³	semidirect
279. #4036	C₂³	semidirect
280. #4035	C₂³	semidirect
281. #4034	C₂³	semidirect
282. #4033	C₂³	semidirect
283. #4033	C₂³	semidirect
284. #4032	C₂³	semidirect
285. #4032	C₂³	semidirect
286. #4031	C₂³	semidirect
287. #4031	C₂³	semidirect
291. #4029	C₂³	semidirect
292. #4029	C₂³	semidirect
298. #4027	C₂³	semidirect
299. #4027	C₂³	semidirect
302. #4025	C₂³	semidirect
303. #4025	C₂³	semidirect
304. #4025	C₂³	semidirect
305. #4024	C₂³	semidirect
306. #4024	C₂³	semidirect
307. #4024	C₂³	semidirect
308. #4023	C₂³	semidirect
309. #4023	C₂³	semidirect
316. #4016	C₂³	semidirect
317. #4015	C₂³	semidirect
318. #4015	C₂³	semidirect
319. C₄×Dic₁₀	C₂³	semidirect
320. C₄×Dic₁₀	C₂³	semidirect
327. #3496	D₅	semidirect
355. C₂×C₅×D₄	#41	semidirect
503. #547	C₂×D₅	semidirect
509. #546	C₂×D₅	semidirect
512. D₄²	C₂×D₅	semidirect
522. #537	C₂×D₅	semidirect
525. #534	C₂×D₅	semidirect
532. #532	C₂×D₅	semidirect
556. C₂×#121	C₂×D₅	semidirect
589. C₂³×C₅	C₂×#41	semidirect
616. C₅×D₄	C₂×#41	semidirect
624. C₂×C₄×C₅	C₂×#41	semidirect
668. C₄×D₅	H(5,𝔽₂)	semidirect
693. C₂²×D₄	C₂²×D₅	semidirect
711. C₄⋊Q₈	C₂²×D₅	semidirect
713. #127	C₂²×D₅	semidirect
729. #124	C₂²×D₅	semidirect
740. #123	C₂²×D₅	semidirect
756. C₂²⋊Q₈	C₂²×D₅	semidirect
773. #121	C₂²×D₅	semidirect
774. #121	C₂²×D₅	semidirect
775. #121	C₂²×D₅	semidirect
781. #120	C₂²×D₅	semidirect
822. C₄×D₄	C₂²×D₅	semidirect
823. C₄×D₄	C₂²×D₅	semidirect
844. C₂×C₄⋊C₄	C₂²×D₅	semidirect
856. C₂×C₂²⋊C₄	C₂²×D₅	semidirect
941. C₂×D₄	#711	semidirect
1074. C₂³	C₂×#711	semidirect
1094. D₄	C₂×#711	semidirect
1134. C₂×C₄	C₂×#711	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×#3496	2
#10619185	2
Dic₅×H(5,𝔽₂)	2
#10618586	2
#10618576	2
#10618537	2
#10618529	2
#10618513	2
D₄×#711	2
#10618282	2
#10618265	2
#10618210	2
#10618196	2
#10618124	2
#10618120	2
#10617838	2
C₂×#65940	2
C₂×C₄×D₄×D₅	2
#10617667	2
#62773	5