Subgroups — C₂×#10618074 #13007054

Order 1280.

7430 conjugacy classes of subgroups.

The subgroup lattice has 1180 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#529	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618074	C₂	1	32	yes	maximal, direct product factor
3	C₂×#66038	C₂	1	2	yes	maximal, complemented
4	C₂×#66044	C₂	1	2	yes	maximal, complemented
5	C₂×#66033	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#66034	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#66017	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#66018	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#65987	C₂	1	2	yes	maximal, complemented
10	C₂×#65982	C₂	1	2	yes	maximal, complemented
11	C₂×#65971	C₂	1	2	yes	maximal, complemented
12	C₂×#65944	C₂	1	2	yes	maximal, complemented
13	C₂×#65916	C₂	1	2	yes	maximal, complemented
14	C₂×#65890	C₂	1	2	yes	maximal, complemented
15	C₂×#65888	C₂	1	2	yes	maximal, complemented
16	C₂×#65894	C₂	1	2	yes	maximal, complemented
17	C₂×#65866	C₂	1	2	yes	maximal, complemented
18	C₂×#65861	C₂	1	2	yes	maximal, complemented
19	C₂×#65813	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×#4021	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×#711	C₂²	1	2	yes	—
22	C₂²×D₄×D₅	C₂²	1	2	yes	complemented
23	C₂³×D₂₀	C₂²	1	1	yes	characteristic
24	C₂³×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
25	C₅×#529	C₂²	1	16	yes	complemented
26	C₂×C₅×#126	C₂²	1	2	yes	complemented
27	C₂×C₅×#125	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₅×#124	C₂²	1	1	yes	characteristic, complemented
29	C₂×C₅×#123	C₂²	1	2	yes	complemented
30	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₅×#121	C₂²	1	1	yes	characteristic
32	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₄×C₅×D₄	C₂²	1	2	yes	complemented
35	C₂×C₅×#117	C₂²	1	2	yes	complemented
36	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic, complemented
37	C₂×#4093	C₂²	1	2	yes	complemented
38	C₂×#4092	C₂²	1	2	yes	complemented
39	C₂×#4085	C₂²	1	2	yes	complemented
40	C₂×#4083	C₂²	1	2	yes	—
41	C₂×#4083	C₂²	1	2	yes	complemented
42	C₂×#4081	C₂²	1	2	yes	complemented
43	C₂×#4076	C₂²	1	1	yes	characteristic
44	C₂×#4076	C₂²	1	2	yes	complemented
45	C₂×#4075	C₂²	1	2	yes	complemented
46	C₂×#4075	C₂²	1	2	yes	complemented
47	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
48	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
49	C₂²×#685	C₂²	1	2	yes	complemented
50	C₂²×#685	C₂²	1	2	yes	complemented
51	C₂²×#685	C₂²	1	2	yes	complemented
52	C₂×#4070	C₂²	1	1	yes	characteristic, complemented
53	#66044	C₂²	1	32	yes	complemented
54	#66038	C₂²	1	32	yes	complemented
55	#66034	C₂²	1	16	yes	complemented
56	#66033	C₂²	1	16	yes	complemented
57	#66018	C₂²	1	16	yes	complemented
58	#66017	C₂²	1	16	yes	complemented
59	#65987	C₂²	1	32	yes	complemented
60	#65982	C₂²	1	32	yes	complemented
61	#65971	C₂²	1	32	yes	complemented
62	#65944	C₂²	1	32	yes	complemented
63	#65916	C₂²	1	32	yes	complemented
64	#65894	C₂²	1	32	yes	complemented
65	#65890	C₂²	1	32	yes	complemented
66	#65888	C₂²	1	32	yes	complemented
67	#65866	C₂²	1	32	yes	complemented
68	#65861	C₂²	1	32	yes	complemented
69	C₂×#4044	C₂²	1	2	yes	complemented
70	C₂×#4044	C₂²	1	2	yes	complemented
71	C₂×#4044	C₂²	1	2	yes	complemented
72	C₂×#4043	C₂²	1	2	yes	complemented
73	C₂×#4042	C₂²	1	2	yes	complemented
74	C₂×#4042	C₂²	1	2	yes	complemented
75	C₂×#4042	C₂²	1	2	yes	complemented
76	C₂×#4042	C₂²	1	2	yes	complemented
77	C₂×#4041	C₂²	1	2	yes	—
78	C₂×#4041	C₂²	1	2	yes	complemented
79	C₂×#4041	C₂²	1	2	yes	complemented
80	C₂×#4040	C₂²	1	2	yes	—
81	C₂×#4040	C₂²	1	2	yes	complemented
82	C₂×#4040	C₂²	1	2	yes	complemented
83	C₂×#4040	C₂²	1	2	yes	complemented
84	C₂×#4040	C₂²	1	2	yes	complemented
85	C₂×#4039	C₂²	1	2	yes	complemented
86	C₂×#4038	C₂²	1	2	yes	complemented
87	C₂×#4034	C₂²	1	2	yes	complemented
88	C₂×#4034	C₂²	1	2	yes	complemented
89	C₂×#4032	C₂²	1	2	yes	complemented
90	C₂×#4032	C₂²	1	2	yes	complemented
91	C₂×#4031	C₂²	1	2	yes	complemented
92	C₂×#4031	C₂²	1	2	yes	complemented
93	C₂×#4031	C₂²	1	2	yes	complemented
94	C₂×#4031	C₂²	1	2	yes	complemented
95	C₂×#4030	C₂²	1	2	yes	—
96	C₂×#4030	C₂²	1	2	yes	complemented
97	C₂×#4030	C₂²	1	2	yes	complemented
98	C₂×#4029	C₂²	1	2	yes	complemented
99	C₂×#4028	C₂²	1	2	yes	—
100	C₂×#4028	C₂²	1	2	yes	—
101	C₂×#4028	C₂²	1	2	yes	complemented
102	C₂×#4028	C₂²	1	2	yes	complemented
103	C₂×#4027	C₂²	1	2	yes	complemented
104	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
105	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
106	C₂×#4024	C₂²	1	2	yes	complemented
107	C₂×#4024	C₂²	1	2	yes	complemented
108	C₂×#4023	C₂²	1	2	yes	complemented
109	#65813	C₂²	1	16	yes	complemented
110	C₂×#4022	C₂²	1	2	yes	complemented
111	C₂×#4022	C₂²	1	2	yes	complemented
112	C₂×#4021	C₂²	1	1	yes	characteristic
113	C₂×#4021	C₂²	1	1	yes	characteristic
114	C₂×#4021	C₂²	1	1	yes	characteristic, complemented
115	C₂×#4021	C₂²	1	2	yes	complemented
116	C₂×#4021	C₂²	1	2	yes	complemented
117	C₂×#4021	C₂²	1	1	yes	characteristic, complemented
118	C₂×#4021	C₂²	1	1	yes	characteristic, complemented
119	C₂×#4021	C₂²	1	2	yes	complemented
120	C₂×#4021	C₂²	1	16	yes	complemented
121	C₂×C₄×D₂₀	C₂²	1	2	yes	complemented
122	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
123	C₂×#4018	C₂²	1	2	yes	complemented
124	C₂×#4018	C₂²	1	2	yes	complemented
125	C₂×#4016	C₂²	1	1	yes	characteristic, complemented
126	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
127	C₂×#3545	—	5	1	no	maximal, Sylow
128	C₂⁴×D₅	C₂³	1	2	yes	—
129	C₂⁴×D₅	C₂³	1	2	yes	—
130	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
131	C₂²×C₅×D₄	C₂³	1	2	yes	—
132	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
133	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
134	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
135	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
136	C₂³×C₄×C₅	C₂³	1	2	yes	—
137	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
138	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
139	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
140	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
141	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
142	C₂³×Dic₅	C₂³	1	2	yes	—
143	C₂³×Dic₅	C₂³	1	2	yes	—
144	C₂×#711	—	4	8	no	—
145	C₂×#711	C₂³	1	16	yes	—
146	C₂×D₄×D₅	—	4	8	no	—
147	C₂×D₄×D₅	C₂³	1	16	yes	complemented
148	C₂²×D₂₀	—	4	4	no	—
149	C₂²×D₂₀	C₂³	1	1	yes	characteristic
150	C₂²×D₂₀	C₂³	1	2	yes	—
151	C₂²×D₂₀	C₂³	1	1	yes	characteristic
152	C₂²×D₂₀	C₂³	1	2	yes	—
153	C₂²×D₂₀	C₂³	1	1	yes	characteristic
154	C₂²×D₂₀	C₂³	1	8	yes	—
155	C₂²×D₂₀	C₂³	1	2	yes	—
156	C₂²×D₂₀	C₂³	1	2	yes	—
157	C₂²×C₄×D₅	C₂³	1	2	yes	—
158	C₂²×C₄×D₅	C₂³	1	2	yes	—
159	C₂²×C₄×D₅	C₂³	1	2	yes	—
160	C₂²×C₄×D₅	C₂³	1	2	yes	—
161	C₂²×C₄×D₅	C₂³	1	2	yes	—
162	C₂²×Dic₁₀	—	4	4	no	—
163	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
164	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
165	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
166	C₂²×Dic₁₀	C₂³	1	2	yes	—
167	C₂²×Dic₁₀	C₂³	1	2	yes	—
168	C₂²×Dic₁₀	C₂³	1	8	yes	complemented
169	C₅×#126	C₂³	1	16	yes	complemented
170	C₅×#125	C₂³	1	8	yes	complemented
171	C₅×#124	C₂³	1	8	yes	complemented
172	C₅×#123	C₂³	1	16	yes	complemented
173	C₅×C₂²⋊Q₈	C₂³	1	8	yes	complemented
174	C₅×#121	C₂³	1	8	yes	—
175	C₄×C₅×Q₈	C₂³	1	8	yes	complemented
176	C₄×C₅×D₄	C₂³	1	16	yes	complemented
177	C₄×C₅×D₄	C₂³	1	8	yes	complemented
178	C₅×#117	C₂³	1	16	yes	complemented
179	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
180	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
181	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
182	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
183	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
184	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
185	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
186	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
187	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
188	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
189	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
190	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
191	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
192	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
193	C₂×C₄²×C₅	C₂³	1	2	yes	—
194	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
195	C₂×C₄²×C₅	C₂³	1	8	yes	complemented
196	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
197	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
198	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
199	#4093	C₂³	1	16	yes	complemented
200	#4092	C₂³	1	16	yes	complemented
201	#4085	C₂³	1	16	yes	complemented
202	#4083	C₂³	1	16	yes	—
203	#4083	C₂³	1	16	yes	complemented
204	#4081	C₂³	1	16	yes	complemented
205	#4076	C₂³	1	8	yes	—
206	#4076	C₂³	1	16	yes	complemented
207	#4075	C₂³	1	16	yes	complemented
208	#4075	C₂³	1	16	yes	complemented
209	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
210	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
211	C₂×#685	C₂³	1	2	yes	—
212	C₂×#685	C₂³	1	2	yes	—
213	C₂×#685	C₂³	1	2	yes	—
214	C₂×#685	C₂³	1	2	yes	—
215	C₂×#685	C₂³	1	2	yes	—
216	C₂×#685	C₂³	1	2	yes	—
217	C₂×#685	C₂³	1	2	yes	—
218	C₂×#685	C₂³	1	2	yes	—
219	C₂×#685	C₂³	1	2	yes	—
220	C₂×#685	C₂³	1	2	yes	—
221	C₂×#685	C₂³	1	2	yes	—
222	C₂×#685	C₂³	1	2	yes	—
223	C₂×#685	C₂³	1	2	yes	—
224	C₂×#685	C₂³	1	2	yes	—
225	C₂×#685	C₂³	1	2	yes	—
226	C₂×#685	C₂³	1	2	yes	—
227	C₂×#685	C₂³	1	2	yes	—
228	C₂×#685	C₂³	1	2	yes	—
229	C₂×#685	C₂³	1	2	yes	—
230	C₂×#685	C₂³	1	2	yes	—
231	C₂×#685	C₂³	1	16	yes	complemented
232	C₂×#685	C₂³	1	16	yes	complemented
233	C₂×#685	C₂³	1	16	yes	complemented
234	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
237	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
238	#4070	C₂³	1	8	yes	complemented
239	C₂×#683	C₂³	1	2	yes	—
240	C₂×#683	C₂³	1	2	yes	—
241	C₂×#683	C₂³	1	2	yes	—
242	C₂×#683	C₂³	1	2	yes	—
243	C₂×#683	C₂³	1	2	yes	—
244	C₂×#683	C₂³	1	2	yes	—
245	C₂×#683	C₂³	1	2	yes	—
246	C₂×#683	C₂³	1	2	yes	—
247	C₂×C₄×Dic₅	C₂³	1	2	yes	—
248	C₂×C₄×Dic₅	C₂³	1	2	yes	—
249	C₂×C₄×Dic₅	C₂³	1	2	yes	—
250	#4044	C₂³	1	16	yes	complemented
251	#4044	C₂³	1	16	yes	complemented
252	#4044	C₂³	1	16	yes	complemented
253	#4043	C₂³	1	16	yes	complemented
254	#4042	C₂³	1	16	yes	complemented
255	#4042	C₂³	1	16	yes	complemented
256	#4042	C₂³	1	16	yes	complemented
257	#4042	C₂³	1	16	yes	complemented
258	#4041	C₂³	1	16	yes	—
259	#4041	C₂³	1	16	yes	complemented
260	#4041	C₂³	1	16	yes	complemented
261	#4040	C₂³	1	16	yes	—
262	#4040	C₂³	1	16	yes	complemented
263	#4040	C₂³	1	16	yes	complemented
264	#4040	C₂³	1	16	yes	complemented
265	#4040	C₂³	1	16	yes	complemented
266	#4039	C₂³	1	16	yes	complemented
267	#4038	C₂³	1	16	yes	complemented
268	#4034	C₂³	1	16	yes	complemented
269	#4034	C₂³	1	16	yes	complemented
270	#4032	C₂³	1	16	yes	complemented
271	#4032	C₂³	1	16	yes	complemented
272	#4031	C₂³	1	16	yes	complemented
273	#4031	C₂³	1	16	yes	complemented
274	#4031	C₂³	1	16	yes	complemented
275	#4031	C₂³	1	16	yes	complemented
276	#4030	C₂³	1	16	yes	—
277	#4030	C₂³	1	16	yes	complemented
278	#4030	C₂³	1	16	yes	complemented
279	#4029	C₂³	1	16	yes	complemented
280	#4028	C₂³	1	16	yes	—
281	#4028	C₂³	1	16	yes	—
282	#4028	C₂³	1	16	yes	complemented
283	#4028	C₂³	1	16	yes	complemented
284	#4027	C₂³	1	16	yes	complemented
285	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
286	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
287	#4024	C₂³	1	16	yes	complemented
288	#4024	C₂³	1	16	yes	complemented
289	#4023	C₂³	1	16	yes	complemented
290	#4022	C₂³	1	16	yes	complemented
291	#4022	C₂³	1	16	yes	complemented
292	#4021	C₂³	1	8	yes	—
293	#4021	C₂³	1	8	yes	—
294	#4021	C₂³	1	8	yes	complemented
295	#4021	C₂³	1	16	yes	complemented
296	#4021	C₂³	1	8	yes	complemented
297	#4021	C₂³	1	16	yes	complemented
298	#4021	C₂³	1	8	yes	complemented
299	#4021	C₂³	1	16	yes	complemented
300	C₄×D₂₀	C₂³	1	8	yes	complemented
301	C₄×D₂₀	C₂³	1	16	yes	complemented
302	#4018	C₂³	1	16	yes	complemented
303	#4018	C₂³	1	16	yes	complemented
304	#4016	C₂³	1	8	yes	complemented
305	C₄×Dic₁₀	C₂³	1	8	yes	complemented
306	#3545	—	5	32	no	—
307	C₂×#563	—	5	1	no	—
308	C₂×#562	—	5	1	no	—
309	C₂×#562	—	5	1	no	—
310	C₂×H(3,𝔽₄)	—	5	1	no	—
311	C₂×#555	—	5	2	no	—
312	C₂×#551	—	5	2	no	—
313	C₂×#551	—	5	2	no	—
314	C₂×#551	—	5	2	no	—
315	C₂×#546	—	5	2	no	—
316	C₂×#546	—	5	2	no	—
317	C₂×#542	—	5	2	no	—
318	C₂×#542	—	5	2	no	—
319	C₂×#538	—	5	2	no	—
320	C₂×#538	—	5	2	no	—
321	C₂×#536	—	5	2	no	—
322	C₂×#534	—	5	2	no	—
323	C₂×#529	—	5	1	no	—
324	C₂×#529	D₅	1	1	yes	characteristic, complemented
325	C₂²×#124	—	5	1	no	—
326	C₂⁴×C₅	C₂⁴	1	2	yes	—
327	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
328	C₂³×D₅	—	2	8	no	—
329	C₂³×D₅	—	4	4	no	—
330	C₂³×D₅	—	4	4	no	—
331	C₂³×D₅	—	4	4	no	—
332	C₂³×D₅	—	4	4	no	—
333	C₂³×D₅	—	4	4	no	—
334	C₂³×D₅	C₂⁴	1	2	yes	—
335	C₂³×D₅	C₂⁴	1	2	yes	—
336	C₂³×D₅	C₂⁴	1	2	yes	—
337	C₂³×D₅	C₂⁴	1	8	yes	—
338	C₂³×D₅	C₂⁴	1	8	yes	—
339	C₂×C₅×Q₈	—	4	2	no	—
340	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
341	C₂×C₅×D₄	—	2	8	no	—
342	C₂×C₅×D₄	—	4	2	no	—
343	C₂×C₅×D₄	C₂⁴	1	8	yes	—
344	C₂×C₅×D₄	C₂⁴	1	4	yes	—
345	C₂²×C₄×C₅	—	2	4	no	—
346	C₂²×C₄×C₅	—	4	2	no	—
347	C₂²×C₄×C₅	—	4	2	no	—
348	C₂²×C₄×C₅	—	4	4	no	—
349	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
350	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
351	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
353	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
354	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
355	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
356	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
357	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
358	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
359	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
360	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
361	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
362	C₂×C₂²⋊D₅	—	2	8	no	—
363	C₂×C₂²⋊D₅	—	4	4	no	—
364	C₂×C₂²⋊D₅	—	4	4	no	—
365	C₂×C₂²⋊D₅	—	4	4	no	—
366	C₂×C₂²⋊D₅	—	4	4	no	—
367	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
368	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
369	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
370	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
371	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
372	C₂²×Dic₅	—	2	8	no	—
373	C₂²×Dic₅	—	4	4	no	—
374	C₂²×Dic₅	C₂⁴	1	2	yes	—
375	C₂²×Dic₅	C₂⁴	1	2	yes	—
376	C₂²×Dic₅	C₂⁴	1	2	yes	—
377	C₂²×Dic₅	C₂⁴	1	2	yes	—
378	C₂²×Dic₅	C₂⁴	1	2	yes	—
379	C₂²×Dic₅	C₂⁴	1	8	yes	—
380	C₂²×Dic₅	C₂⁴	1	8	yes	—
381	#711	—	4	32	no	—
382	D₄×D₅	—	4	32	no	—
383	C₂×D₂₀	—	4	2	no	—
384	C₂×D₂₀	—	4	4	no	—
385	C₂×D₂₀	—	4	2	no	—
386	C₂×D₂₀	—	4	16	no	—
387	C₂×D₂₀	—	4	2	no	—
388	C₂×D₂₀	—	4	4	no	—
389	C₂×D₂₀	—	4	4	no	—
390	C₂×D₂₀	—	4	4	no	—
391	C₂×D₂₀	C₂⁴	1	4	yes	—
392	C₂×D₂₀	C₂⁴	1	8	yes	—
393	C₂×D₂₀	C₂⁴	1	4	yes	—
394	C₂×D₂₀	C₂⁴	1	8	yes	—
395	C₂×D₂₀	C₂⁴	1	4	yes	—
396	C₂×D₂₀	C₂⁴	1	8	yes	—
397	C₂×D₂₀	C₂⁴	1	8	yes	—
398	C₂×C₄×D₅	—	4	4	no	—
399	C₂×C₄×D₅	—	4	4	no	—
400	C₂×C₄×D₅	—	4	4	no	—
401	C₂×C₄×D₅	—	4	4	no	—
402	C₂×C₄×D₅	—	4	4	no	—
403	C₂×C₄×D₅	C₂⁴	1	8	yes	—
404	C₂×C₄×D₅	C₂⁴	1	8	yes	—
405	C₂×C₄×D₅	C₂⁴	1	8	yes	—
406	C₂×C₄×D₅	C₂⁴	1	8	yes	—
407	C₂×C₄×D₅	C₂⁴	1	8	yes	—
408	C₂×Dic₁₀	—	4	2	no	—
409	C₂×Dic₁₀	—	4	4	no	—
410	C₂×Dic₁₀	—	4	2	no	—
411	C₂×Dic₁₀	—	4	16	no	—
412	C₂×Dic₁₀	—	4	2	no	—
413	C₂×Dic₁₀	—	4	4	no	—
414	C₂×Dic₁₀	C₂⁴	1	4	yes	—
415	C₂×Dic₁₀	C₂⁴	1	4	yes	—
416	C₂×Dic₁₀	C₂⁴	1	8	yes	—
417	C₂×Dic₁₀	C₂⁴	1	8	yes	—
418	C₂×Dic₁₀	C₂⁴	1	4	yes	—
419	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
420	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
421	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
422	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
423	C₅×C₄⋊C₄	C₂⁴	1	4	yes	—
424	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
425	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
426	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
427	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
428	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
429	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
430	C₄²×C₅	C₂⁴	1	4	yes	—
431	C₄²×C₅	C₂⁴	1	4	yes	—
432	C₄²×C₅	C₂⁴	1	4	yes	—
433	C₄²×C₅	C₂⁴	1	4	yes	—
434	C₄²×C₅	C₂⁴	1	8	yes	—
435	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
436	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
437	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
438	#685	C₂⁴	1	8	yes	—
439	#685	C₂⁴	1	8	yes	—
440	#685	C₂⁴	1	8	yes	—
441	#685	C₂⁴	1	8	yes	—
442	#685	C₂⁴	1	8	yes	—
443	#685	C₂⁴	1	8	yes	—
444	#685	C₂⁴	1	8	yes	—
445	#685	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	8	yes	—
456	#685	C₂⁴	1	8	yes	—
457	#685	C₂⁴	1	8	yes	—
458	C₄⋊Dic₅	C₂⁴	1	4	yes	—
459	C₄⋊Dic₅	C₂⁴	1	4	yes	—
460	C₄⋊Dic₅	C₂⁴	1	8	yes	—
461	C₄⋊Dic₅	C₂⁴	1	8	yes	—
462	#683	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	8	yes	—
469	#683	C₂⁴	1	8	yes	—
470	C₄×Dic₅	C₂⁴	1	8	yes	—
471	C₄×Dic₅	C₂⁴	1	8	yes	—
472	C₄×Dic₅	C₂⁴	1	8	yes	—
473	C₂²×#41	—	5	2	no	—
474	C₂³×Q₈	—	5	1	no	—
475	C₂³×D₄	—	5	2	no	—
476	C₂³×D₄	—	5	1	no	—
477	#563	—	5	16	no	—
478	#562	—	5	16	no	—
479	#562	—	5	16	no	—
480	H(3,𝔽₄)	—	5	16	no	—
481	#555	—	5	32	no	—
482	#551	—	5	32	no	—
483	#551	—	5	32	no	—
484	#551	—	5	32	no	—
485	#546	—	5	32	no	—
486	#546	—	5	32	no	—
487	#542	—	5	32	no	—
488	#542	—	5	32	no	—
489	#538	—	5	32	no	—
490	#538	—	5	32	no	—
491	#536	—	5	32	no	—
492	#534	—	5	32	no	—
493	C₂×C₄⋊Q₈	—	5	2	no	—
494	C₂×C₄⋊Q₈	—	5	2	no	—
495	#529	—	5	16	no	—
496	#529	C₂×D₅	1	16	yes	complemented
497	C₂×#126	—	5	2	no	—
498	C₂×#126	—	5	2	no	—
499	C₂×#126	—	5	2	no	—
500	C₂×#126	—	5	2	no	—
501	C₂×#126	—	5	2	no	—
502	C₂×#126	C₂×D₅	1	2	yes	complemented
503	C₂×#125	—	5	1	no	—
504	C₂×#125	C₂×D₅	1	1	yes	characteristic, complemented
505	C₂×#124	—	5	2	no	—
506	C₂×#124	—	5	2	no	—
507	C₂×#124	—	5	2	no	—
508	C₂×#124	—	5	2	no	—
509	C₂×#124	—	5	2	no	—
510	C₂×#124	—	5	1	no	—
511	C₂×#124	—	5	1	no	—
512	C₂×#124	—	5	2	no	—
513	C₂×#124	—	5	2	no	—
514	C₂×#124	—	5	1	no	—
515	C₂×#124	—	5	1	no	—
516	C₂×#124	—	5	1	no	—
517	C₂×#124	—	5	2	no	—
518	C₂×#124	—	5	16	no	—
519	C₂×#124	C₂×D₅	1	1	yes	characteristic, complemented
520	C₂×#123	—	5	2	no	—
521	C₂×#123	—	5	2	no	—
522	C₂×#123	—	5	2	no	—
523	C₂×#123	—	5	2	no	—
524	C₂×#123	—	5	2	no	—
525	C₂×#123	—	5	2	no	—
526	C₂×#123	—	5	2	no	—
527	C₂×#123	—	5	2	no	—
528	C₂×#123	—	5	2	no	—
529	C₂×#123	—	5	2	no	—
530	C₂×#123	—	5	2	no	—
531	C₂×#123	C₂×D₅	1	2	yes	complemented
532	C₂×C₂²⋊Q₈	—	5	2	no	—
533	C₂×C₂²⋊Q₈	—	5	1	no	—
534	C₂×C₂²⋊Q₈	—	5	2	no	—
535	C₂×C₂²⋊Q₈	—	5	2	no	—
536	C₂×C₂²⋊Q₈	—	5	2	no	—
537	C₂×C₂²⋊Q₈	—	5	2	no	—
538	C₂×C₂²⋊Q₈	—	5	2	no	—
539	C₂×C₂²⋊Q₈	—	5	2	no	—
540	C₂×C₂²⋊Q₈	—	5	2	no	—
541	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
542	C₂×#121	—	5	2	no	—
543	C₂×#121	—	5	1	no	—
544	C₂×#121	—	5	2	no	—
545	C₂×#121	—	5	2	no	—
546	C₂×#121	—	5	2	no	—
547	C₂×#121	—	5	2	no	—
548	C₂×#121	—	5	2	no	—
549	C₂×#121	—	5	2	no	—
550	C₂×#121	—	5	2	no	—
551	C₂×#121	C₂×D₅	1	1	yes	characteristic
552	C₂×#120	—	5	2	no	—
553	C₂×#120	—	5	2	no	—
554	C₂×#120	—	5	2	no	—
555	C₂×#120	—	5	2	no	—
556	C₂×#120	—	5	2	no	—
557	C₂×#120	—	5	2	no	—
558	C₂×C₄×Q₈	—	5	1	no	—
559	C₂×C₄×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
560	C₂×C₄×D₄	—	5	2	no	—
561	C₂×C₄×D₄	—	5	2	no	—
562	C₂×C₄×D₄	—	5	2	no	—
563	C₂×C₄×D₄	—	5	2	no	—
564	C₂×C₄×D₄	—	5	1	no	—
565	C₂×C₄×D₄	—	5	2	no	—
566	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
567	C₂×C₄×D₄	C₂×D₅	1	2	yes	complemented
568	C₂×#117	—	5	2	no	—
569	C₂×#117	—	5	2	no	—
570	C₂×#117	—	5	2	no	—
571	C₂×#117	—	5	2	no	—
572	C₂×#117	C₂×D₅	1	2	yes	complemented
573	C₂²×C₂²⋊C₄	—	5	2	no	—
574	C₂²×C₂²⋊C₄	—	5	2	no	—
575	C₂²×C₂²⋊C₄	—	5	2	no	—
576	C₂²×C₂²⋊C₄	—	5	2	no	—
577	C₂²×C₂²⋊C₄	—	5	2	no	—
578	C₂²×C₄²	C₂×D₅	1	1	yes	characteristic, complemented
579	C₂³×C₅	—	2	2	no	—
580	C₂³×C₅	—	2	2	no	—
581	C₂³×C₅	—	2	4	no	—
582	C₂³×C₅	—	2	4	no	—
583	C₂³×C₅	—	2	4	no	—
584	C₂³×C₅	H(5,𝔽₂)	1	4	yes	—
585	C₂³×C₅	C₂⁵	1	4	yes	—
586	C₂³×C₅	C₂⁵	1	2	yes	—
587	C₂³×C₅	C₂⁵	1	1	yes	characteristic
588	C₂²×D₅	—	2	4	no	—
589	C₂²×D₅	—	2	4	no	—
590	C₂²×D₅	—	2	4	no	—
591	C₂²×D₅	—	2	4	no	—
592	C₂²×D₅	—	2	4	no	—
593	C₂²×D₅	—	2	4	no	—
594	C₂²×D₅	—	2	4	no	—
595	C₂²×D₅	—	2	4	no	—
596	C₂²×D₅	—	2	4	no	—
597	C₂²×D₅	—	2	16	no	—
598	C₂²×D₅	—	4	8	no	—
599	C₂²×D₅	—	4	8	no	—
600	C₂²×D₅	—	4	8	no	—
601	C₂²×D₅	—	4	8	no	—
602	C₂²×D₅	—	4	8	no	—
603	C₂²×D₅	—	8	16	no	—
604	C₂²×D₅	—	8	16	no	—
605	C₂²×D₅	C₂⁵	1	4	yes	—
606	C₂²×D₅	C₂⁵	1	4	yes	—
607	C₂²×D₅	C₂⁵	1	4	yes	—
608	C₅×Q₈	—	4	4	no	—
609	C₅×D₄	—	2	16	no	—
610	C₅×D₄	—	4	4	no	—
611	C₂×C₄×C₅	—	2	8	no	—
612	C₂×C₄×C₅	—	2	2	no	—
613	C₂×C₄×C₅	—	2	2	no	—
614	C₂×C₄×C₅	—	2	4	no	—
615	C₂×C₄×C₅	—	2	2	no	—
616	C₂×C₄×C₅	—	2	2	no	—
617	C₂×C₄×C₅	—	2	4	no	—
618	C₂×C₄×C₅	—	2	4	no	—
619	C₂×C₄×C₅	—	2	2	no	—
620	C₂×C₄×C₅	—	2	2	no	—
621	C₂×C₄×C₅	—	4	4	no	—
622	C₂×C₄×C₅	—	4	4	no	—
623	C₂×C₄×C₅	—	4	8	no	—
624	C₂×C₄×C₅	C₂⁵	1	2	yes	—
625	C₂×C₄×C₅	C₂⁵	1	4	yes	—
626	C₂×C₄×C₅	C₂⁵	1	4	yes	—
627	C₂×C₄×C₅	C₂⁵	1	2	yes	—
628	C₂×C₄×C₅	C₂⁵	1	2	yes	—
629	C₂×C₄×C₅	C₂⁵	1	2	yes	—
630	C₂×C₄×C₅	C₂⁵	1	2	yes	—
631	C₂×C₄×C₅	C₂⁵	1	4	yes	—
632	C₂×C₄×C₅	C₂⁵	1	2	yes	—
633	C₂²⋊D₅	—	2	16	no	—
634	C₂²⋊D₅	—	4	8	no	—
635	C₂²⋊D₅	—	4	8	no	—
636	C₂²⋊D₅	—	4	8	no	—
637	C₂²⋊D₅	—	4	8	no	—
638	C₂×Dic₅	—	2	4	no	—
639	C₂×Dic₅	—	2	4	no	—
640	C₂×Dic₅	—	2	16	no	—
641	C₂×Dic₅	—	2	4	no	—
642	C₂×Dic₅	—	2	4	no	—
643	C₂×Dic₅	—	2	4	no	—
644	C₂×Dic₅	—	4	8	no	—
645	C₂×Dic₅	C₂⁵	1	4	yes	—
646	C₂×Dic₅	C₂⁵	1	4	yes	—
647	C₂×Dic₅	C₂⁵	1	4	yes	—
648	C₂×Dic₅	C₂⁵	1	4	yes	—
649	C₂×Dic₅	C₂⁵	1	4	yes	—
650	D₂₀	—	4	4	no	—
651	D₂₀	—	4	8	no	—
652	D₂₀	—	4	4	no	—
653	D₂₀	—	4	4	no	—
654	D₂₀	—	4	8	no	—
655	D₂₀	—	4	8	no	—
656	D₂₀	—	4	8	no	—
657	C₄×D₅	—	4	8	no	—
658	C₄×D₅	—	4	8	no	—
659	C₄×D₅	—	4	8	no	—
660	C₄×D₅	—	4	8	no	—
661	C₄×D₅	—	4	8	no	—
662	Dic₁₀	—	4	4	no	—
663	Dic₁₀	—	4	8	no	—
664	Dic₁₀	—	4	4	no	—
665	Dic₁₀	—	4	4	no	—
666	Dic₁₀	—	4	8	no	—
667	C₂⁵	—	5	2	no	—
668	C₂⁵	—	5	2	no	—
669	C₂×#41	—	5	16	no	—
670	C₂×#41	—	20	8	no	—
671	C₂²×Q₈	—	5	1	no	—
672	C₂²×Q₈	—	5	1	no	—
673	C₂²×Q₈	—	5	2	no	—
674	C₂²×Q₈	—	5	2	no	—
675	C₂²×Q₈	—	5	1	no	—
676	C₂²×Q₈	—	5	8	no	—
677	C₂²×Q₈	—	20	4	no	—
678	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
679	C₂²×D₄	—	5	2	no	—
680	C₂²×D₄	—	5	2	no	—
681	C₂²×D₄	—	5	2	no	—
682	C₂²×D₄	—	5	2	no	—
683	C₂²×D₄	—	5	2	no	—
684	C₂²×D₄	—	5	16	no	—
685	C₂²×D₄	—	5	2	no	—
686	C₂²×D₄	—	5	2	no	—
687	C₂²×D₄	—	5	1	no	—
688	C₂²×D₄	—	5	1	no	—
689	C₂²×D₄	—	5	2	no	—
690	C₂²×D₄	—	5	2	no	—
691	C₂²×D₄	—	5	1	no	—
692	C₂²×D₄	—	5	8	no	—
693	C₂²×D₄	—	20	4	no	—
694	C₂²×D₄	—	20	8	no	—
695	C₂²×D₄	C₂²×D₅	1	2	yes	—
696	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
697	C₂³×C₄	—	5	2	no	—
698	C₂³×C₄	—	5	2	no	—
699	C₂³×C₄	—	5	2	no	—
700	C₂³×C₄	—	5	2	no	—
701	C₂³×C₄	—	5	2	no	—
702	C₂³×C₄	—	5	2	no	—
703	C₂³×C₄	—	5	2	no	—
704	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
705	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
706	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
707	C₂³×C₄	C₂²×D₅	1	2	yes	—
708	C₄⋊Q₈	—	5	16	no	—
709	C₄⋊Q₈	—	5	16	no	—
710	#126	—	5	16	no	—
711	#126	—	5	16	no	—
712	#126	—	5	16	no	—
713	#126	—	5	16	no	—
714	#126	—	5	16	no	—
715	#126	C₂²×D₅	1	16	yes	complemented
716	#125	—	5	8	no	—
717	#125	C₂²×D₅	1	8	yes	complemented
718	#124	—	5	16	no	—
719	#124	—	5	16	no	—
720	#124	—	5	16	no	—
721	#124	—	5	16	no	—
722	#124	—	5	16	no	—
723	#124	—	5	16	no	—
724	#124	—	5	16	no	—
725	#124	—	5	8	no	—
726	#124	—	5	8	no	—
727	#124	—	5	8	no	—
728	#124	—	5	8	no	—
729	#124	—	5	8	no	—
730	#124	—	5	16	no	—
731	#124	C₂²×D₅	1	8	yes	complemented
732	#123	—	5	16	no	—
733	#123	—	5	16	no	—
734	#123	—	5	16	no	—
735	#123	—	5	16	no	—
736	#123	—	5	16	no	—
737	#123	—	5	16	no	—
738	#123	—	5	16	no	—
739	#123	—	5	16	no	—
740	#123	—	5	16	no	—
741	#123	—	5	16	no	—
742	#123	—	5	16	no	—
743	#123	C₂²×D₅	1	16	yes	complemented
744	C₂²⋊Q₈	—	5	16	no	—
745	C₂²⋊Q₈	—	5	8	no	—
746	C₂²⋊Q₈	—	5	16	no	—
747	C₂²⋊Q₈	—	5	16	no	—
748	C₂²⋊Q₈	—	5	16	no	—
749	C₂²⋊Q₈	—	5	16	no	—
750	C₂²⋊Q₈	—	5	16	no	—
751	C₂²⋊Q₈	—	5	16	no	—
752	C₂²⋊Q₈	—	5	16	no	—
753	C₂²⋊Q₈	C₂²×D₅	1	8	yes	complemented
754	#121	—	5	16	no	—
755	#121	—	5	8	no	—
756	#121	—	5	16	no	—
757	#121	—	5	16	no	—
758	#121	—	5	16	no	—
759	#121	—	5	16	no	—
760	#121	—	5	16	no	—
761	#121	—	5	16	no	—
762	#121	—	5	16	no	—
763	#121	C₂²×D₅	1	8	yes	—
764	#120	—	5	16	no	—
765	#120	—	5	16	no	—
766	#120	—	5	16	no	—
767	#120	—	5	16	no	—
768	#120	—	5	16	no	—
769	#120	—	5	16	no	—
770	C₄×Q₈	—	5	8	no	—
771	C₄×Q₈	C₂²×D₅	1	8	yes	complemented
772	C₄×D₄	—	5	16	no	—
773	C₄×D₄	—	5	16	no	—
774	C₄×D₄	—	5	16	no	—
775	C₄×D₄	—	5	16	no	—
776	C₄×D₄	—	5	8	no	—
777	C₄×D₄	—	5	16	no	—
778	C₄×D₄	C₂²×D₅	1	8	yes	complemented
779	C₄×D₄	C₂²×D₅	1	16	yes	complemented
780	#117	—	5	16	no	—
781	#117	—	5	16	no	—
782	#117	—	5	16	no	—
783	#117	—	5	16	no	—
784	#117	C₂²×D₅	1	16	yes	complemented
785	C₂×C₄⋊C₄	—	5	2	no	—
786	C₂×C₄⋊C₄	—	5	2	no	—
787	C₂×C₄⋊C₄	—	5	2	no	—
788	C₂×C₄⋊C₄	—	5	2	no	—
789	C₂×C₄⋊C₄	—	5	2	no	—
790	C₂×C₄⋊C₄	—	5	2	no	—
791	C₂×C₄⋊C₄	—	5	2	no	—
792	C₂×C₄⋊C₄	—	5	2	no	—
793	C₂×C₄⋊C₄	—	5	2	no	—
794	C₂×C₄⋊C₄	—	5	1	no	—
795	C₂×C₄⋊C₄	—	5	1	no	—
796	C₂×C₄⋊C₄	—	5	2	no	—
797	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
798	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
799	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
800	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
801	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
802	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
803	C₂×C₂²⋊C₄	—	5	2	no	—
804	C₂×C₂²⋊C₄	—	5	2	no	—
805	C₂×C₂²⋊C₄	—	5	2	no	—
806	C₂×C₂²⋊C₄	—	5	2	no	—
807	C₂×C₂²⋊C₄	—	5	2	no	—
808	C₂×C₂²⋊C₄	—	5	2	no	—
809	C₂×C₂²⋊C₄	—	5	2	no	—
810	C₂×C₂²⋊C₄	—	5	2	no	—
811	C₂×C₂²⋊C₄	—	5	2	no	—
812	C₂×C₂²⋊C₄	—	5	2	no	—
813	C₂×C₂²⋊C₄	—	5	2	no	—
814	C₂×C₂²⋊C₄	—	5	2	no	—
815	C₂×C₂²⋊C₄	—	5	2	no	—
816	C₂×C₂²⋊C₄	—	5	2	no	—
817	C₂×C₂²⋊C₄	—	5	2	no	—
818	C₂×C₂²⋊C₄	—	5	2	no	—
819	C₂×C₂²⋊C₄	—	5	2	no	—
820	C₂×C₂²⋊C₄	—	5	16	no	—
821	C₂×C₂²⋊C₄	—	5	16	no	—
822	C₂×C₂²⋊C₄	—	5	16	no	—
823	C₂×C₂²⋊C₄	—	5	2	no	—
824	C₂×C₂²⋊C₄	—	5	2	no	—
825	C₂×C₂²⋊C₄	—	5	2	no	—
826	C₂×C₂²⋊C₄	—	5	2	no	—
827	C₂×C₂²⋊C₄	—	5	2	no	—
828	C₂×C₂²⋊C₄	—	5	2	no	—
829	C₂×C₂²⋊C₄	—	5	16	no	—
830	C₂×C₂²⋊C₄	—	5	16	no	—
831	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
832	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
833	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
834	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
835	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
836	C₂×C₄²	—	5	2	no	—
837	C₂×C₄²	—	5	2	no	—
838	C₂×C₄²	—	5	2	no	—
839	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
840	C₂×C₄²	C₂²×D₅	1	2	yes	—
841	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
842	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
843	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
844	C₂×C₄²	C₂²×D₅	1	8	yes	complemented
845	C₂²×C₅	—	2	2	no	—
846	C₂²×C₅	—	2	2	no	—
847	C₂²×C₅	—	2	8	no	—
848	C₂²×C₅	—	2	4	no	—
849	C₂²×C₅	—	2	4	no	—
850	C₂²×C₅	—	2	4	no	—
851	C₂²×C₅	—	4	8	no	—
852	C₂²×C₅	C₂×H(5,𝔽₂)	1	4	yes	—
853	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
854	C₂²×C₅	#585	1	2	yes	—
855	C₂²×C₅	#585	1	2	yes	—
856	C₂²×C₅	C₂⁶	1	1	yes	characteristic
857	C₂×D₅	—	2	4	no	—
858	C₂×D₅	—	2	4	no	—
859	C₂×D₅	—	2	4	no	—
860	C₂×D₅	—	2	4	no	—
861	C₂×D₅	—	2	4	no	—
862	C₂×D₅	—	2	4	no	—
863	C₂×D₅	—	2	4	no	—
864	C₂×D₅	—	2	4	no	—
865	C₂×D₅	—	2	4	no	—
866	C₂×D₅	—	4	8	no	—
867	C₂×D₅	—	4	8	no	—
868	C₂×D₅	—	4	8	no	—
869	C₂×D₅	—	8	16	no	—
870	C₂×D₅	—	8	16	no	—
871	C₄×C₅	—	2	2	no	—
872	C₄×C₅	—	2	2	no	—
873	C₄×C₅	—	2	4	no	—
874	C₄×C₅	—	2	2	no	—
875	C₄×C₅	—	2	2	no	—
876	C₄×C₅	—	2	4	no	—
877	C₄×C₅	—	2	4	no	—
878	C₄×C₅	—	2	2	no	—
879	C₄×C₅	—	2	2	no	—
880	Dic₅	—	2	4	no	—
881	Dic₅	—	2	4	no	—
882	Dic₅	—	2	4	no	—
883	Dic₅	—	2	4	no	—
884	Dic₅	—	2	4	no	—
885	C₂⁴	—	5	2	no	—
886	C₂⁴	—	5	2	no	—
887	C₂⁴	—	5	2	no	—
888	C₂⁴	—	5	8	no	—
889	C₂⁴	—	5	8	no	—
890	C₂⁴	—	10	8	no	—
891	C₂⁴	—	20	4	no	—
892	C₂⁴	—	20	4	no	—
893	C₂⁴	—	20	4	no	—
894	C₂⁴	—	20	4	no	—
895	C₂⁴	—	20	4	no	—
896	C₂⁴	C₂³×D₅	1	2	yes	—
897	C₂⁴	C₂³×D₅	1	1	yes	characteristic
898	#41	—	20	32	no	—
899	C₂×Q₈	—	4	2	no	—
900	C₂×Q₈	—	5	4	no	—
901	C₂×Q₈	—	5	4	no	—
902	C₂×Q₈	—	5	8	no	—
903	C₂×Q₈	—	5	8	no	—
904	C₂×Q₈	—	5	4	no	—
905	C₂×Q₈	—	20	2	no	—
906	C₂×Q₈	—	20	4	no	—
907	C₂×Q₈	—	20	2	no	—
908	C₂×Q₈	—	20	16	no	—
909	C₂×Q₈	—	20	4	no	—
910	C₂×Q₈	—	20	2	no	—
911	C₂×Q₈	C₂³×D₅	1	4	yes	—
912	C₂×D₄	—	2	8	no	—
913	C₂×D₄	—	4	2	no	—
914	C₂×D₄	—	5	8	no	—
915	C₂×D₄	—	5	8	no	—
916	C₂×D₄	—	5	8	no	—
917	C₂×D₄	—	5	8	no	—
918	C₂×D₄	—	5	8	no	—
919	C₂×D₄	—	5	8	no	—
920	C₂×D₄	—	5	8	no	—
921	C₂×D₄	—	5	4	no	—
922	C₂×D₄	—	5	4	no	—
923	C₂×D₄	—	5	8	no	—
924	C₂×D₄	—	5	8	no	—
925	C₂×D₄	—	5	4	no	—
926	C₂×D₄	—	10	8	no	—
927	C₂×D₄	—	20	2	no	—
928	C₂×D₄	—	20	4	no	—
929	C₂×D₄	—	20	2	no	—
930	C₂×D₄	—	20	16	no	—
931	C₂×D₄	—	20	4	no	—
932	C₂×D₄	—	20	4	no	—
933	C₂×D₄	—	20	2	no	—
934	C₂×D₄	—	20	4	no	—
935	C₂×D₄	—	20	4	no	—
936	C₂×D₄	—	20	4	no	—
937	C₂×D₄	—	20	4	no	—
938	C₂×D₄	—	20	4	no	—
939	C₂×D₄	—	20	32	no	—
940	C₂×D₄	C₂³×D₅	1	8	yes	—
941	C₂×D₄	C₂³×D₅	1	4	yes	—
942	C₂²×C₄	—	2	4	no	—
943	C₂²×C₄	—	4	4	no	—
944	C₂²×C₄	—	4	2	no	—
945	C₂²×C₄	—	4	2	no	—
946	C₂²×C₄	—	5	8	no	—
947	C₂²×C₄	—	5	2	no	—
948	C₂²×C₄	—	5	2	no	—
949	C₂²×C₄	—	5	2	no	—
950	C₂²×C₄	—	5	2	no	—
951	C₂²×C₄	—	5	2	no	—
952	C₂²×C₄	—	5	8	no	—
953	C₂²×C₄	—	5	8	no	—
954	C₂²×C₄	—	5	8	no	—
955	C₂²×C₄	—	5	8	no	—
956	C₂²×C₄	—	5	8	no	—
957	C₂²×C₄	—	5	8	no	—
958	C₂²×C₄	—	10	8	no	—
959	C₂²×C₄	—	20	4	no	—
960	C₂²×C₄	—	20	4	no	—
961	C₂²×C₄	—	20	4	no	—
962	C₂²×C₄	—	20	4	no	—
963	C₂²×C₄	—	20	4	no	—
964	C₂²×C₄	—	20	4	no	—
965	C₂²×C₄	C₂³×D₅	1	4	yes	—
966	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
967	C₂²×C₄	C₂³×D₅	1	2	yes	—
968	C₂²×C₄	C₂³×D₅	1	2	yes	—
969	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
970	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
971	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
972	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
973	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
974	C₂²×C₄	C₂³×D₅	1	2	yes	—
975	C₂²×C₄	C₂³×D₅	1	4	yes	—
976	C₂²×C₄	C₂³×D₅	1	4	yes	—
977	C₂²×C₄	C₂³×D₅	1	8	yes	—
978	C₄⋊C₄	—	5	8	no	—
979	C₄⋊C₄	—	5	8	no	—
980	C₄⋊C₄	—	5	8	no	—
981	C₄⋊C₄	—	5	8	no	—
982	C₄⋊C₄	—	5	8	no	—
983	C₄⋊C₄	—	5	8	no	—
984	C₄⋊C₄	—	5	8	no	—
985	C₄⋊C₄	—	5	8	no	—
986	C₄⋊C₄	—	5	8	no	—
987	C₄⋊C₄	—	5	4	no	—
988	C₄⋊C₄	—	5	4	no	—
989	C₄⋊C₄	—	5	8	no	—
990	C₄⋊C₄	C₂³×D₅	1	8	yes	—
991	C₄⋊C₄	C₂³×D₅	1	8	yes	—
992	C₄⋊C₄	C₂³×D₅	1	8	yes	—
993	C₄⋊C₄	C₂³×D₅	1	4	yes	—
994	C₄⋊C₄	C₂³×D₅	1	8	yes	—
995	C₄⋊C₄	C₂³×D₅	1	4	yes	—
996	C₂²⋊C₄	—	5	8	no	—
997	C₂²⋊C₄	—	5	8	no	—
998	C₂²⋊C₄	—	5	8	no	—
999	C₂²⋊C₄	—	5	8	no	—
1000	C₂²⋊C₄	—	5	8	no	—
1001	C₂²⋊C₄	—	5	8	no	—
1002	C₂²⋊C₄	—	5	8	no	—
1003	C₂²⋊C₄	—	5	8	no	—
1004	C₂²⋊C₄	—	5	8	no	—
1005	C₂²⋊C₄	—	5	8	no	—
1006	C₂²⋊C₄	—	5	8	no	—
1007	C₂²⋊C₄	—	5	8	no	—
1008	C₂²⋊C₄	—	5	8	no	—
1009	C₂²⋊C₄	—	5	8	no	—
1010	C₂²⋊C₄	—	5	8	no	—
1011	C₂²⋊C₄	—	5	8	no	—
1012	C₂²⋊C₄	—	5	8	no	—
1013	C₂²⋊C₄	—	5	8	no	—
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	C₂³×D₅	1	8	yes	—
1020	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1021	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1022	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1023	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1024	C₄²	—	5	8	no	—
1025	C₄²	—	5	8	no	—
1026	C₄²	—	5	8	no	—
1027	C₄²	C₂³×D₅	1	4	yes	—
1028	C₄²	C₂³×D₅	1	4	yes	—
1029	C₄²	C₂³×D₅	1	4	yes	—
1030	C₄²	C₂³×D₅	1	4	yes	—
1031	C₄²	C₂³×D₅	1	8	yes	—
1032	C₂×C₅	—	2	4	no	—
1033	C₂×C₅	—	4	4	no	—
1034	C₂×C₅	#3545	1	4	yes	complemented
1035	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1036	C₂×C₅	C₂×#585	1	1	yes	characteristic
1037	C₂×C₅	C₂×#585	1	1	yes	characteristic
1038	D₅	—	4	4	no	—
1039	D₅	—	4	4	no	—
1040	D₅	—	4	4	no	—
1041	C₂³	—	2	2	no	—
1042	C₂³	—	2	2	no	—
1043	C₂³	—	2	4	no	—
1044	C₂³	—	2	4	no	—
1045	C₂³	—	2	4	no	—
1046	C₂³	—	5	4	no	—
1047	C₂³	—	5	4	no	—
1048	C₂³	—	5	4	no	—
1049	C₂³	—	10	4	no	—
1050	C₂³	—	10	4	no	—
1051	C₂³	—	10	4	no	—
1052	C₂³	—	10	4	no	—
1053	C₂³	—	10	4	no	—
1054	C₂³	—	10	4	no	—
1055	C₂³	—	10	4	no	—
1056	C₂³	—	10	4	no	—
1057	C₂³	—	10	4	no	—
1058	C₂³	—	10	16	no	—
1059	C₂³	—	20	8	no	—
1060	C₂³	—	20	8	no	—
1061	C₂³	—	20	8	no	—
1062	C₂³	—	20	8	no	—
1063	C₂³	—	20	8	no	—
1064	C₂³	—	40	16	no	—
1065	C₂³	—	40	16	no	—
1066	C₂³	#4149	1	4	yes	—
1067	C₂³	C₂⁴×D₅	1	4	yes	—
1068	C₂³	C₂⁴×D₅	1	2	yes	—
1069	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1070	Q₈	—	4	4	no	—
1071	Q₈	—	20	4	no	—
1072	Q₈	—	20	8	no	—
1073	Q₈	—	20	4	no	—
1074	Q₈	—	20	8	no	—
1075	Q₈	—	20	4	no	—
1076	D₄	—	2	16	no	—
1077	D₄	—	4	4	no	—
1078	D₄	—	10	16	no	—
1079	D₄	—	20	4	no	—
1080	D₄	—	20	8	no	—
1081	D₄	—	20	4	no	—
1082	D₄	—	20	8	no	—
1083	D₄	—	20	8	no	—
1084	D₄	—	20	4	no	—
1085	D₄	—	20	8	no	—
1086	D₄	—	20	8	no	—
1087	D₄	—	20	8	no	—
1088	D₄	—	20	8	no	—
1089	D₄	—	20	8	no	—
1090	C₂×C₄	—	2	8	no	—
1091	C₂×C₄	—	2	2	no	—
1092	C₂×C₄	—	2	2	no	—
1093	C₂×C₄	—	2	4	no	—
1094	C₂×C₄	—	2	2	no	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	4	no	—
1097	C₂×C₄	—	2	2	no	—
1098	C₂×C₄	—	2	2	no	—
1099	C₂×C₄	—	2	4	no	—
1100	C₂×C₄	—	4	8	no	—
1101	C₂×C₄	—	4	4	no	—
1102	C₂×C₄	—	4	4	no	—
1103	C₂×C₄	—	5	4	no	—
1104	C₂×C₄	—	5	4	no	—
1105	C₂×C₄	—	5	4	no	—
1106	C₂×C₄	—	5	4	no	—
1107	C₂×C₄	—	5	4	no	—
1108	C₂×C₄	—	10	4	no	—
1109	C₂×C₄	—	10	4	no	—
1110	C₂×C₄	—	10	16	no	—
1111	C₂×C₄	—	10	4	no	—
1112	C₂×C₄	—	10	4	no	—
1113	C₂×C₄	—	10	4	no	—
1114	C₂×C₄	—	20	8	no	—
1115	C₂×C₄	—	20	8	no	—
1116	C₂×C₄	—	20	8	no	—
1117	C₂×C₄	—	20	8	no	—
1118	C₂×C₄	—	20	8	no	—
1119	C₂×C₄	—	20	8	no	—
1120	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1121	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1122	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1123	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1124	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1125	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1126	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1127	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1128	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1129	C₅	C₂×#3545	1	1	yes	characteristic, complemented, Sylow
1130	C₂²	—	2	2	no	—
1131	C₂²	—	2	2	no	—
1132	C₂²	—	2	8	no	—
1133	C₂²	—	2	4	no	—
1134	C₂²	—	2	4	no	—
1135	C₂²	—	2	4	no	—
1136	C₂²	—	4	8	no	—
1137	C₂²	—	10	4	no	—
1138	C₂²	—	10	4	no	—
1139	C₂²	—	10	4	no	—
1140	C₂²	—	10	4	no	—
1141	C₂²	—	10	4	no	—
1142	C₂²	—	10	4	no	—
1143	C₂²	—	10	4	no	—
1144	C₂²	—	10	4	no	—
1145	C₂²	—	10	4	no	—
1146	C₂²	—	20	8	no	—
1147	C₂²	—	20	8	no	—
1148	C₂²	—	20	8	no	—
1149	C₂²	—	40	16	no	—
1150	C₂²	—	40	16	no	—
1151	C₂²	C₂×#4149	1	4	yes	—
1152	C₂²	C₂×#4149	1	2	yes	—
1153	C₂²	#66283	1	2	yes	—
1154	C₂²	#66283	1	2	yes	—
1155	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1156	C₄	—	2	2	no	—
1157	C₄	—	2	2	no	—
1158	C₄	—	2	4	no	—
1159	C₄	—	2	2	no	—
1160	C₄	—	2	2	no	—
1161	C₄	—	2	4	no	—
1162	C₄	—	2	2	no	—
1163	C₄	—	2	2	no	—
1164	C₄	—	2	4	no	—
1165	C₄	—	10	4	no	—
1166	C₄	—	10	4	no	—
1167	C₄	—	10	4	no	—
1168	C₄	—	10	4	no	—
1169	C₄	—	10	4	no	—
1170	C₂	—	2	4	no	—
1171	C₂	—	4	4	no	—
1172	C₂	—	20	4	no	—
1173	C₂	—	20	4	no	—
1174	C₂	—	20	4	no	—
1175	C₂	#10618074	1	4	yes	direct product factor
1176	C₂	C₂²×#4149	1	1	yes	characteristic
1177	C₂	C₂×#66283	1	1	yes	characteristic
1178	C₂	C₂×#66283	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₅
commutator, cosocle	C₂²×C₅	C₂⁶
Frattini	C₂²	C₂⁵×D₅
Fitting	C₂×C₅×#529	C₂
socle	C₂³×C₅	C₂⁵
hypercenter	C₂×#529	D₅
hypocenter	C₅	C₂×#3545
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ C₂×#529

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#529	C₂	semidirect
2. #10618074	C₂	direct (N × H)
3. C₂×#66038	C₂	semidirect
4. C₂×#66044	C₂	semidirect
5. C₂×#66033	C₂	semidirect
6. C₂×#66034	C₂	semidirect
7. C₂×#66017	C₂	semidirect
8. C₂×#66018	C₂	semidirect
9. C₂×#65987	C₂	semidirect
10. C₂×#65982	C₂	semidirect
11. C₂×#65971	C₂	semidirect
12. C₂×#65944	C₂	semidirect
13. C₂×#65916	C₂	semidirect
14. C₂×#65890	C₂	semidirect
15. C₂×#65888	C₂	semidirect
16. C₂×#65894	C₂	semidirect
17. C₂×#65866	C₂	semidirect
18. C₂×#65861	C₂	semidirect
19. C₂×#65813	C₂	semidirect
20. C₂²×#4021	C₂	semidirect
22. C₂²×D₄×D₅	C₂²	semidirect
24. C₂³×Dic₁₀	C₂²	semidirect
25. C₅×#529	C₂²	semidirect
26. C₂×C₅×#126	C₂²	semidirect
27. C₂×C₅×#125	C₂²	semidirect
28. C₂×C₅×#124	C₂²	semidirect
29. C₂×C₅×#123	C₂²	semidirect
30. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
32. C₂×C₄×C₅×Q₈	C₂²	semidirect
33. C₂×C₄×C₅×D₄	C₂²	semidirect
34. C₂×C₄×C₅×D₄	C₂²	semidirect
35. C₂×C₅×#117	C₂²	semidirect
36. C₂²×C₄²×C₅	C₂²	semidirect
37. C₂×#4093	C₂²	semidirect
38. C₂×#4092	C₂²	semidirect
39. C₂×#4085	C₂²	semidirect
41. C₂×#4083	C₂²	semidirect
42. C₂×#4081	C₂²	semidirect
44. C₂×#4076	C₂²	semidirect
45. C₂×#4075	C₂²	semidirect
46. C₂×#4075	C₂²	semidirect
47. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
48. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
49. C₂²×#685	C₂²	semidirect
50. C₂²×#685	C₂²	semidirect
51. C₂²×#685	C₂²	semidirect
52. C₂×#4070	C₂²	semidirect
53. #66044	C₂²	semidirect
54. #66038	C₂²	semidirect
55. #66034	C₂²	semidirect
56. #66033	C₂²	semidirect
57. #66018	C₂²	semidirect
58. #66017	C₂²	semidirect
59. #65987	C₂²	semidirect
60. #65982	C₂²	semidirect
61. #65971	C₂²	semidirect
62. #65944	C₂²	semidirect
63. #65916	C₂²	semidirect
64. #65894	C₂²	semidirect
65. #65890	C₂²	semidirect
66. #65888	C₂²	semidirect
67. #65866	C₂²	semidirect
68. #65861	C₂²	semidirect
69. C₂×#4044	C₂²	semidirect
70. C₂×#4044	C₂²	semidirect
71. C₂×#4044	C₂²	semidirect
72. C₂×#4043	C₂²	semidirect
73. C₂×#4042	C₂²	semidirect
74. C₂×#4042	C₂²	semidirect
75. C₂×#4042	C₂²	semidirect
76. C₂×#4042	C₂²	semidirect
78. C₂×#4041	C₂²	semidirect
79. C₂×#4041	C₂²	semidirect
81. C₂×#4040	C₂²	semidirect
82. C₂×#4040	C₂²	semidirect
83. C₂×#4040	C₂²	semidirect
84. C₂×#4040	C₂²	semidirect
85. C₂×#4039	C₂²	semidirect
86. C₂×#4038	C₂²	semidirect
87. C₂×#4034	C₂²	semidirect
88. C₂×#4034	C₂²	semidirect
89. C₂×#4032	C₂²	semidirect
90. C₂×#4032	C₂²	semidirect
91. C₂×#4031	C₂²	semidirect
92. C₂×#4031	C₂²	semidirect
93. C₂×#4031	C₂²	semidirect
94. C₂×#4031	C₂²	semidirect
96. C₂×#4030	C₂²	semidirect
97. C₂×#4030	C₂²	semidirect
98. C₂×#4029	C₂²	semidirect
101. C₂×#4028	C₂²	semidirect
102. C₂×#4028	C₂²	semidirect
103. C₂×#4027	C₂²	semidirect
104. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
105. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
106. C₂×#4024	C₂²	semidirect
107. C₂×#4024	C₂²	semidirect
108. C₂×#4023	C₂²	semidirect
109. #65813	C₂²	semidirect
110. C₂×#4022	C₂²	semidirect
111. C₂×#4022	C₂²	semidirect
114. C₂×#4021	C₂²	semidirect
115. C₂×#4021	C₂²	semidirect
116. C₂×#4021	C₂²	semidirect
117. C₂×#4021	C₂²	semidirect
118. C₂×#4021	C₂²	semidirect
119. C₂×#4021	C₂²	semidirect
120. C₂×#4021	C₂²	semidirect
121. C₂×C₄×D₂₀	C₂²	semidirect
122. C₂×C₄×D₂₀	C₂²	semidirect
123. C₂×#4018	C₂²	semidirect
124. C₂×#4018	C₂²	semidirect
125. C₂×#4016	C₂²	semidirect
126. C₂×C₄×Dic₁₀	C₂²	semidirect
147. C₂×D₄×D₅	C₂³	semidirect
168. C₂²×Dic₁₀	C₂³	semidirect
169. C₅×#126	C₂³	semidirect
170. C₅×#125	C₂³	semidirect
171. C₅×#124	C₂³	semidirect
172. C₅×#123	C₂³	semidirect
173. C₅×C₂²⋊Q₈	C₂³	semidirect
175. C₄×C₅×Q₈	C₂³	semidirect
176. C₄×C₅×D₄	C₂³	semidirect
177. C₄×C₅×D₄	C₂³	semidirect
178. C₅×#117	C₂³	semidirect
195. C₂×C₄²×C₅	C₂³	semidirect
199. #4093	C₂³	semidirect
200. #4092	C₂³	semidirect
201. #4085	C₂³	semidirect
203. #4083	C₂³	semidirect
204. #4081	C₂³	semidirect
206. #4076	C₂³	semidirect
207. #4075	C₂³	semidirect
208. #4075	C₂³	semidirect
209. C₄×C₂²⋊D₅	C₂³	semidirect
210. C₄×C₂²⋊D₅	C₂³	semidirect
231. C₂×#685	C₂³	semidirect
232. C₂×#685	C₂³	semidirect
233. C₂×#685	C₂³	semidirect
238. #4070	C₂³	semidirect
250. #4044	C₂³	semidirect
251. #4044	C₂³	semidirect
252. #4044	C₂³	semidirect
253. #4043	C₂³	semidirect
254. #4042	C₂³	semidirect
255. #4042	C₂³	semidirect
256. #4042	C₂³	semidirect
257. #4042	C₂³	semidirect
259. #4041	C₂³	semidirect
260. #4041	C₂³	semidirect
262. #4040	C₂³	semidirect
263. #4040	C₂³	semidirect
264. #4040	C₂³	semidirect
265. #4040	C₂³	semidirect
266. #4039	C₂³	semidirect
267. #4038	C₂³	semidirect
268. #4034	C₂³	semidirect
269. #4034	C₂³	semidirect
270. #4032	C₂³	semidirect
271. #4032	C₂³	semidirect
272. #4031	C₂³	semidirect
273. #4031	C₂³	semidirect
274. #4031	C₂³	semidirect
275. #4031	C₂³	semidirect
277. #4030	C₂³	semidirect
278. #4030	C₂³	semidirect
279. #4029	C₂³	semidirect
282. #4028	C₂³	semidirect
283. #4028	C₂³	semidirect
284. #4027	C₂³	semidirect
285. D₅×C₂²⋊C₄	C₂³	semidirect
286. D₅×C₂²⋊C₄	C₂³	semidirect
287. #4024	C₂³	semidirect
288. #4024	C₂³	semidirect
289. #4023	C₂³	semidirect
290. #4022	C₂³	semidirect
291. #4022	C₂³	semidirect
294. #4021	C₂³	semidirect
295. #4021	C₂³	semidirect
296. #4021	C₂³	semidirect
297. #4021	C₂³	semidirect
298. #4021	C₂³	semidirect
299. #4021	C₂³	semidirect
300. C₄×D₂₀	C₂³	semidirect
301. C₄×D₂₀	C₂³	semidirect
302. #4018	C₂³	semidirect
303. #4018	C₂³	semidirect
304. #4016	C₂³	semidirect
305. C₄×Dic₁₀	C₂³	semidirect
324. C₂×#529	D₅	semidirect
496. #529	C₂×D₅	semidirect
502. C₂×#126	C₂×D₅	semidirect
504. C₂×#125	C₂×D₅	semidirect
519. C₂×#124	C₂×D₅	semidirect
531. C₂×#123	C₂×D₅	semidirect
541. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
559. C₂×C₄×Q₈	C₂×D₅	semidirect
566. C₂×C₄×D₄	C₂×D₅	semidirect
567. C₂×C₄×D₄	C₂×D₅	semidirect
572. C₂×#117	C₂×D₅	semidirect
578. C₂²×C₄²	C₂×D₅	semidirect
715. #126	C₂²×D₅	semidirect
717. #125	C₂²×D₅	semidirect
731. #124	C₂²×D₅	semidirect
743. #123	C₂²×D₅	semidirect
753. C₂²⋊Q₈	C₂²×D₅	semidirect
771. C₄×Q₈	C₂²×D₅	semidirect
778. C₄×D₄	C₂²×D₅	semidirect
779. C₄×D₄	C₂²×D₅	semidirect
784. #117	C₂²×D₅	semidirect
844. C₂×C₄²	C₂²×D₅	semidirect
1034. C₂×C₅	#3545	semidirect
1129. C₅	C₂×#3545	semidirect
1175. C₂	#10618074	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₅×#529	2
#10618074	2
C₂×#66038	2
C₂×#66044	2
C₂×#66033	2
C₂×#66034	2
C₂×#66017	2
C₂×#66018	2
C₂×#65987	2
C₂×#65982	2
C₂×#65971	2
C₂×#65944	2
C₂×#65916	2
C₂×#65890	2
C₂×#65888	2
C₂×#65894	2
C₂×#65866	2
C₂×#65861	2
C₂×#65813	2
C₂²×#4021	2
C₂×#3545	5

Subgroups — C2×#10618074 #13007054

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#10618074 #13007054