Subgroups — C₂×#10618248 #13007057

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×#536	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#66163	C₂	1	2	yes	maximal, complemented
3	C₂×#66150	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×#4093	C₂	1	1	yes	maximal, characteristic, complemented
5	#10618248	C₂	1	32	yes	maximal, direct product factor
6	C₂×#66069	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#66067	C₂	1	2	yes	maximal, complemented
8	C₂×#66068	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#66017	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#66012	C₂	1	2	yes	maximal, complemented
11	C₂×#66004	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#65992	C₂	1	2	yes	maximal, complemented
13	C₂×#65988	C₂	1	2	yes	maximal, complemented
14	C₂×#65987	C₂	1	2	yes	maximal, complemented
15	C₂×#65983	C₂	1	2	yes	maximal, complemented
16	C₂×#65981	C₂	1	2	yes	maximal, complemented
17	C₂×#65971	C₂	1	2	yes	maximal, complemented
18	C₂×#65978	C₂	1	2	yes	maximal, complemented
19	C₂×#65974	C₂	1	2	yes	maximal, complemented
20	C₂×#65861	C₂	1	2	yes	maximal, complemented
21	C₂²×C₅×#41	C₂²	1	1	yes	characteristic
22	C₂³×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
23	C₂²×D₄×D₅	C₂²	1	2	yes	complemented
24	C₂²×#709	C₂²	1	1	yes	characteristic
25	C₂³×D₂₀	C₂²	1	1	yes	characteristic
26	C₅×#536	C₂²	1	16	yes	complemented
27	C₂×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
29	C₂×C₅×#124	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₅×#124	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₅×#123	C₂²	1	2	yes	complemented
32	C₂×C₅×#123	C₂²	1	2	yes	complemented
33	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	complemented
34	C₂×C₅×C₂²⋊Q₈	C₂²	1	2	yes	complemented
35	C₂×C₅×#117	C₂²	1	1	yes	characteristic, complemented
36	#66163	C₂²	1	32	yes	complemented
37	#66150	C₂²	1	16	yes	complemented
38	C₂×#4093	C₂²	1	1	yes	characteristic
39	C₂×#4093	C₂²	1	1	yes	characteristic
40	C₂×#4093	C₂²	1	2	yes	complemented
41	C₂×#4093	C₂²	1	1	yes	characteristic, complemented
42	C₂×#4093	C₂²	1	1	yes	characteristic, complemented
43	C₂×#4093	C₂²	1	2	yes	complemented
44	C₂×#4093	C₂²	1	1	yes	characteristic, complemented
45	C₂×#4093	C₂²	1	1	yes	characteristic, complemented
46	C₂×#4093	C₂²	1	2	yes	complemented
47	C₂×#4093	C₂²	1	16	yes	complemented
48	C₂×#4092	C₂²	1	2	yes	complemented
49	C₂×#4092	C₂²	1	2	yes	complemented
50	C₂×#4092	C₂²	1	2	yes	complemented
51	C₂×#4090	C₂²	1	1	yes	characteristic, complemented
52	C₂×#4090	C₂²	1	1	yes	characteristic, complemented
53	C₂×#4085	C₂²	1	2	yes	—
54	C₂×#4085	C₂²	1	2	yes	complemented
55	C₂×#4083	C₂²	1	2	yes	—
56	C₂×#4083	C₂²	1	2	yes	complemented
57	C₂×D₄×Dic₅	C₂²	1	2	yes	complemented
58	C₂×#4076	C₂²	1	2	yes	complemented
59	C₂×#4075	C₂²	1	2	yes	complemented
60	C₂×#4075	C₂²	1	2	yes	complemented
61	C₂×#4075	C₂²	1	2	yes	complemented
62	C₂×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
63	C₂²×#685	C₂²	1	2	yes	complemented
64	C₂²×#685	C₂²	1	2	yes	complemented
65	C₂²×#685	C₂²	1	2	yes	complemented
66	C₂×#4072	C₂²	1	1	yes	characteristic, complemented
67	C₂²×C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
68	#66069	C₂²	1	16	yes	complemented
69	#66068	C₂²	1	16	yes	complemented
70	#66067	C₂²	1	32	yes	complemented
71	#66017	C₂²	1	16	yes	complemented
72	#66012	C₂²	1	32	yes	complemented
73	#66004	C₂²	1	16	yes	complemented
74	#65992	C₂²	1	32	yes	complemented
75	#65988	C₂²	1	32	yes	complemented
76	#65987	C₂²	1	32	yes	complemented
77	#65983	C₂²	1	32	yes	complemented
78	#65981	C₂²	1	32	yes	complemented
79	#65978	C₂²	1	32	yes	complemented
80	#65974	C₂²	1	32	yes	complemented
81	#65971	C₂²	1	32	yes	complemented
82	#65861	C₂²	1	32	yes	complemented
83	C₂×#4044	C₂²	1	2	yes	complemented
84	C₂×#4044	C₂²	1	2	yes	complemented
85	C₂×#4044	C₂²	1	2	yes	complemented
86	C₂×#4044	C₂²	1	2	yes	complemented
87	C₂×#4043	C₂²	1	2	yes	complemented
88	C₂×#4042	C₂²	1	2	yes	complemented
89	C₂×#4042	C₂²	1	2	yes	complemented
90	C₂×#4041	C₂²	1	2	yes	—
91	C₂×#4041	C₂²	1	2	yes	complemented
92	C₂×#4041	C₂²	1	2	yes	complemented
93	C₂×#4040	C₂²	1	2	yes	—
94	C₂×#4040	C₂²	1	2	yes	complemented
95	C₂×#4040	C₂²	1	2	yes	complemented
96	C₂×#4040	C₂²	1	2	yes	complemented
97	C₂×#4040	C₂²	1	2	yes	complemented
98	C₂×#4039	C₂²	1	2	yes	complemented
99	C₂×#4038	C₂²	1	2	yes	complemented
100	C₂×#4038	C₂²	1	2	yes	complemented
101	C₂×#4035	C₂²	1	2	yes	complemented
102	C₂×#4033	C₂²	1	2	yes	complemented
103	C₂×#4032	C₂²	1	2	yes	complemented
104	C₂×#4031	C₂²	1	2	yes	complemented
105	C₂×#4031	C₂²	1	2	yes	complemented
106	C₂×#4031	C₂²	1	2	yes	complemented
107	C₂×#4030	C₂²	1	2	yes	—
108	C₂×#4030	C₂²	1	2	yes	complemented
109	C₂×#4030	C₂²	1	2	yes	complemented
110	C₂×#4029	C₂²	1	2	yes	complemented
111	C₂×#4028	C₂²	1	2	yes	—
112	C₂×#4028	C₂²	1	2	yes	—
113	C₂×#4028	C₂²	1	2	yes	complemented
114	C₂×#4028	C₂²	1	2	yes	complemented
115	C₂×#4027	C₂²	1	2	yes	complemented
116	C₂×#4027	C₂²	1	2	yes	complemented
117	C₂×#4027	C₂²	1	2	yes	complemented
118	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
119	C₂×D₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
120	C₂×#4025	C₂²	1	2	yes	complemented
121	C₂×#4024	C₂²	1	2	yes	complemented
122	C₂×#4023	C₂²	1	2	yes	complemented
123	C₂×#4022	C₂²	1	2	yes	complemented
124	C₂×#4021	C₂²	1	2	yes	complemented
125	C₂×C₄×D₂₀	C₂²	1	2	yes	complemented
126	C₂×#4018	C₂²	1	2	yes	complemented
127	C₂×#3545	—	5	1	no	maximal, Sylow
128	C₂⁴×D₅	C₂³	1	2	yes	—
129	C₂⁴×D₅	C₂³	1	2	yes	—
130	C₂×C₅×#41	—	4	4	no	—
131	C₂×C₅×#41	C₂³	1	8	yes	—
132	C₂²×C₅×Q₈	—	4	4	no	—
133	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
134	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
135	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
136	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
137	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
138	C₂²×C₅×Q₈	C₂³	1	8	yes	complemented
139	C₂²×C₅×D₄	C₂³	1	2	yes	—
140	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
143	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
144	C₂³×C₄×C₅	C₂³	1	2	yes	—
145	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
146	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
147	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
148	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
149	C₂²×C₂²⋊D₅	C₂³	1	2	yes	—
150	C₂³×Dic₅	C₂³	1	2	yes	—
151	C₂³×Dic₅	C₂³	1	2	yes	—
152	C₂×D₄×D₅	—	4	8	no	—
153	C₂×D₄×D₅	C₂³	1	16	yes	complemented
154	C₂×#709	—	4	4	no	—
155	C₂×#709	C₂³	1	8	yes	—
156	C₂²×D₂₀	—	4	4	no	—
157	C₂²×D₂₀	C₂³	1	2	yes	—
158	C₂²×D₂₀	C₂³	1	2	yes	—
159	C₂²×D₂₀	C₂³	1	1	yes	characteristic
160	C₂²×D₂₀	C₂³	1	1	yes	characteristic
161	C₂²×D₂₀	C₂³	1	2	yes	—
162	C₂²×D₂₀	C₂³	1	1	yes	characteristic
163	C₂²×D₂₀	C₂³	1	2	yes	—
164	C₂²×D₂₀	C₂³	1	8	yes	—
165	C₂²×C₄×D₅	C₂³	1	2	yes	—
166	C₂²×C₄×D₅	C₂³	1	2	yes	—
167	C₂²×C₄×D₅	C₂³	1	2	yes	—
168	C₂²×C₄×D₅	C₂³	1	2	yes	—
169	C₂²×C₄×D₅	C₂³	1	2	yes	—
170	C₂²×Dic₁₀	C₂³	1	2	yes	—
171	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
172	C₅×C₄⋊Q₈	C₂³	1	8	yes	complemented
173	C₅×C₄⋊Q₈	C₂³	1	8	yes	complemented
174	C₅×#124	C₂³	1	8	yes	complemented
175	C₅×#124	C₂³	1	8	yes	complemented
176	C₅×#123	C₂³	1	16	yes	complemented
177	C₅×#123	C₂³	1	16	yes	complemented
178	C₅×C₂²⋊Q₈	C₂³	1	16	yes	complemented
179	C₅×C₂²⋊Q₈	C₂³	1	16	yes	complemented
180	C₅×#117	C₂³	1	8	yes	complemented
181	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
182	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
183	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
184	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
185	C₂×C₅×C₄⋊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×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
191	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
192	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
193	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
194	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
195	C₂×C₂²⋊Dic₅	C₂³	1	2	yes	—
196	#4093	C₂³	1	8	yes	—
197	#4093	C₂³	1	8	yes	—
198	#4093	C₂³	1	16	yes	complemented
199	#4093	C₂³	1	16	yes	complemented
200	#4093	C₂³	1	8	yes	complemented
201	#4093	C₂³	1	8	yes	complemented
202	#4093	C₂³	1	16	yes	complemented
203	#4093	C₂³	1	8	yes	complemented
204	#4093	C₂³	1	8	yes	complemented
205	#4092	C₂³	1	16	yes	complemented
206	#4092	C₂³	1	16	yes	complemented
207	#4092	C₂³	1	16	yes	complemented
208	#4090	C₂³	1	8	yes	complemented
209	#4090	C₂³	1	8	yes	complemented
210	#4085	C₂³	1	16	yes	—
211	#4085	C₂³	1	16	yes	complemented
212	#4083	C₂³	1	16	yes	—
213	#4083	C₂³	1	16	yes	complemented
214	D₄×Dic₅	C₂³	1	16	yes	complemented
215	#4076	C₂³	1	16	yes	complemented
216	#4075	C₂³	1	16	yes	complemented
217	#4075	C₂³	1	16	yes	complemented
218	#4075	C₂³	1	16	yes	complemented
219	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
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	2	yes	—
232	C₂×#685	C₂³	1	2	yes	—
233	C₂×#685	C₂³	1	2	yes	—
234	C₂×#685	C₂³	1	2	yes	—
235	C₂×#685	C₂³	1	2	yes	—
236	C₂×#685	C₂³	1	2	yes	—
237	C₂×#685	C₂³	1	2	yes	—
238	C₂×#685	C₂³	1	2	yes	—
239	C₂×#685	C₂³	1	2	yes	—
240	C₂×#685	C₂³	1	16	yes	complemented
241	C₂×#685	C₂³	1	16	yes	complemented
242	C₂×#685	C₂³	1	16	yes	complemented
243	#4072	C₂³	1	8	yes	complemented
244	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
245	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
246	C₂×C₄⋊Dic₅	C₂³	1	2	yes	—
247	C₂×#683	C₂³	1	2	yes	—
248	C₂×#683	C₂³	1	2	yes	—
249	C₂×#683	C₂³	1	2	yes	—
250	C₂×#683	C₂³	1	2	yes	—
251	C₂×#683	C₂³	1	2	yes	—
252	C₂×#683	C₂³	1	2	yes	—
253	C₂×#683	C₂³	1	2	yes	—
254	C₂×#683	C₂³	1	2	yes	—
255	C₂×C₄×Dic₅	C₂³	1	2	yes	—
256	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
257	C₂×C₄×Dic₅	C₂³	1	2	yes	—
258	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
259	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
260	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
261	C₂×C₄×Dic₅	C₂³	1	2	yes	—
262	C₂×C₄×Dic₅	C₂³	1	8	yes	complemented
263	#4044	C₂³	1	16	yes	complemented
264	#4044	C₂³	1	16	yes	complemented
265	#4044	C₂³	1	16	yes	complemented
266	#4044	C₂³	1	16	yes	complemented
267	#4043	C₂³	1	16	yes	complemented
268	#4042	C₂³	1	16	yes	complemented
269	#4042	C₂³	1	16	yes	complemented
270	#4041	C₂³	1	16	yes	—
271	#4041	C₂³	1	16	yes	complemented
272	#4041	C₂³	1	16	yes	complemented
273	#4040	C₂³	1	16	yes	—
274	#4040	C₂³	1	16	yes	complemented
275	#4040	C₂³	1	16	yes	complemented
276	#4040	C₂³	1	16	yes	complemented
277	#4040	C₂³	1	16	yes	complemented
278	#4039	C₂³	1	16	yes	complemented
279	#4038	C₂³	1	16	yes	complemented
280	#4038	C₂³	1	16	yes	complemented
281	#4035	C₂³	1	16	yes	complemented
282	#4033	C₂³	1	16	yes	complemented
283	#4032	C₂³	1	16	yes	complemented
284	#4031	C₂³	1	16	yes	complemented
285	#4031	C₂³	1	16	yes	complemented
286	#4031	C₂³	1	16	yes	complemented
287	#4030	C₂³	1	16	yes	—
288	#4030	C₂³	1	16	yes	complemented
289	#4030	C₂³	1	16	yes	complemented
290	#4029	C₂³	1	16	yes	complemented
291	#4028	C₂³	1	16	yes	—
292	#4028	C₂³	1	16	yes	—
293	#4028	C₂³	1	16	yes	complemented
294	#4028	C₂³	1	16	yes	complemented
295	#4027	C₂³	1	16	yes	complemented
296	#4027	C₂³	1	16	yes	complemented
297	#4027	C₂³	1	16	yes	complemented
298	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
299	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
300	#4025	C₂³	1	16	yes	complemented
301	#4024	C₂³	1	16	yes	complemented
302	#4023	C₂³	1	16	yes	complemented
303	#4022	C₂³	1	16	yes	complemented
304	#4021	C₂³	1	16	yes	complemented
305	C₄×D₂₀	C₂³	1	16	yes	complemented
306	#4018	C₂³	1	16	yes	complemented
307	#3545	—	5	32	no	—
308	C₂×#563	—	5	1	no	—
309	C₂×#562	—	5	2	no	—
310	C₂×H(3,𝔽₄)	—	5	1	no	—
311	C₂×#555	—	5	1	no	—
312	C₂×#555	—	5	1	no	—
313	C₂×#551	—	5	2	no	—
314	C₂×#551	—	5	2	no	—
315	C₂×#551	—	5	2	no	—
316	C₂×#546	—	5	2	no	—
317	C₂×#546	—	5	2	no	—
318	C₂×#542	—	5	2	no	—
319	C₂×#542	—	5	2	no	—
320	C₂×#538	—	5	2	no	—
321	C₂×#538	—	5	2	no	—
322	C₂×#536	—	5	1	no	—
323	C₂×#536	D₅	1	1	yes	characteristic, complemented
324	C₂×#534	—	5	2	no	—
325	C₂×#529	—	5	2	no	—
326	C₂²×#124	—	5	1	no	—
327	C₂⁴×C₅	C₂⁴	1	2	yes	—
328	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
329	C₂³×D₅	—	2	8	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	—	4	4	no	—
335	C₂³×D₅	C₂⁴	1	2	yes	—
336	C₂³×D₅	C₂⁴	1	2	yes	—
337	C₂³×D₅	C₂⁴	1	2	yes	—
338	C₂³×D₅	C₂⁴	1	8	yes	—
339	C₂³×D₅	C₂⁴	1	8	yes	—
340	C₅×#41	—	4	16	no	—
341	C₂×C₅×Q₈	—	4	2	no	—
342	C₂×C₅×Q₈	—	4	2	no	—
343	C₂×C₅×Q₈	—	4	2	no	—
344	C₂×C₅×Q₈	—	4	2	no	—
345	C₂×C₅×Q₈	—	4	16	no	—
346	C₂×C₅×Q₈	—	4	2	no	—
347	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
348	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
349	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
350	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
351	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
352	C₂×C₅×D₄	—	2	8	no	—
353	C₂×C₅×D₄	—	4	2	no	—
354	C₂×C₅×D₄	C₂⁴	1	8	yes	—
355	C₂×C₅×D₄	C₂⁴	1	4	yes	—
356	C₂²×C₄×C₅	—	2	4	no	—
357	C₂²×C₄×C₅	—	2	4	no	—
358	C₂²×C₄×C₅	—	2	4	no	—
359	C₂²×C₄×C₅	—	4	4	no	—
360	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
361	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
362	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
363	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
364	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
368	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
370	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
371	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
372	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
373	C₂×C₂²⋊D₅	—	2	8	no	—
374	C₂×C₂²⋊D₅	—	4	4	no	—
375	C₂×C₂²⋊D₅	—	4	4	no	—
376	C₂×C₂²⋊D₅	—	4	4	no	—
377	C₂×C₂²⋊D₅	—	4	4	no	—
378	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
379	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
380	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
381	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
382	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
383	C₂²×Dic₅	—	4	4	no	—
384	C₂²×Dic₅	—	4	4	no	—
385	C₂²×Dic₅	C₂⁴	1	2	yes	—
386	C₂²×Dic₅	C₂⁴	1	2	yes	—
387	C₂²×Dic₅	C₂⁴	1	2	yes	—
388	C₂²×Dic₅	C₂⁴	1	2	yes	—
389	C₂²×Dic₅	C₂⁴	1	2	yes	—
390	C₂²×Dic₅	C₂⁴	1	8	yes	—
391	C₂²×Dic₅	C₂⁴	1	8	yes	—
392	D₄×D₅	—	4	32	no	—
393	#709	—	4	16	no	—
394	C₂×D₂₀	—	4	2	no	—
395	C₂×D₂₀	—	4	4	no	—
396	C₂×D₂₀	—	4	2	no	—
397	C₂×D₂₀	—	4	16	no	—
398	C₂×D₂₀	—	4	4	no	—
399	C₂×D₂₀	—	4	4	no	—
400	C₂×D₂₀	—	4	2	no	—
401	C₂×D₂₀	—	4	4	no	—
402	C₂×D₂₀	C₂⁴	1	4	yes	—
403	C₂×D₂₀	C₂⁴	1	8	yes	—
404	C₂×D₂₀	C₂⁴	1	4	yes	—
405	C₂×D₂₀	C₂⁴	1	4	yes	—
406	C₂×D₂₀	C₂⁴	1	8	yes	—
407	C₂×D₂₀	C₂⁴	1	8	yes	—
408	C₂×D₂₀	C₂⁴	1	8	yes	—
409	C₂×C₄×D₅	—	4	4	no	—
410	C₂×C₄×D₅	—	4	4	no	—
411	C₂×C₄×D₅	—	4	4	no	—
412	C₂×C₄×D₅	—	4	4	no	—
413	C₂×C₄×D₅	—	4	4	no	—
414	C₂×C₄×D₅	C₂⁴	1	8	yes	—
415	C₂×C₄×D₅	C₂⁴	1	8	yes	—
416	C₂×C₄×D₅	C₂⁴	1	8	yes	—
417	C₂×C₄×D₅	C₂⁴	1	8	yes	—
418	C₂×C₄×D₅	C₂⁴	1	8	yes	—
419	C₂×Dic₁₀	—	4	4	no	—
420	C₂×Dic₁₀	—	4	2	no	—
421	C₂×Dic₁₀	C₂⁴	1	4	yes	—
422	C₂×Dic₁₀	C₂⁴	1	8	yes	—
423	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
424	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
425	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
426	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
427	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
428	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
429	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
430	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
431	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
432	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
433	C₄²×C₅	C₂⁴	1	4	yes	—
434	C₄²×C₅	C₂⁴	1	4	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	8	yes	—
459	C₄⋊Dic₅	C₂⁴	1	8	yes	—
460	C₄⋊Dic₅	C₂⁴	1	8	yes	—
461	#683	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	C₄×Dic₅	C₂⁴	1	8	yes	—
470	C₄×Dic₅	C₂⁴	1	4	yes	—
471	C₄×Dic₅	C₂⁴	1	8	yes	—
472	C₄×Dic₅	C₂⁴	1	4	yes	—
473	C₄×Dic₅	C₂⁴	1	4	yes	—
474	C₄×Dic₅	C₂⁴	1	4	yes	—
475	C₄×Dic₅	C₂⁴	1	8	yes	—
476	C₂²×#41	—	5	1	no	—
477	C₂²×#41	C₂×D₅	1	1	yes	characteristic
478	C₂³×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
479	C₂³×D₄	—	5	2	no	—
480	C₂³×D₄	—	5	1	no	—
481	#563	—	5	16	no	—
482	#562	—	5	32	no	—
483	H(3,𝔽₄)	—	5	16	no	—
484	#555	—	5	16	no	—
485	#555	—	5	16	no	—
486	#551	—	5	32	no	—
487	#551	—	5	32	no	—
488	#551	—	5	32	no	—
489	#546	—	5	32	no	—
490	#546	—	5	32	no	—
491	#542	—	5	32	no	—
492	#542	—	5	32	no	—
493	#538	—	5	32	no	—
494	#538	—	5	32	no	—
495	#536	—	5	16	no	—
496	#536	C₂×D₅	1	16	yes	complemented
497	#534	—	5	32	no	—
498	C₂×C₄⋊Q₈	—	5	1	no	—
499	C₂×C₄⋊Q₈	—	5	1	no	—
500	C₂×C₄⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
501	C₂×C₄⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
502	#529	—	5	32	no	—
503	C₂×#126	—	5	2	no	—
504	C₂×#126	—	5	2	no	—
505	C₂×#126	—	5	2	no	—
506	C₂×#126	—	5	2	no	—
507	C₂×#126	—	5	2	no	—
508	C₂×#126	—	5	2	no	—
509	C₂×#125	—	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	1	no	—
518	C₂×#124	—	5	2	no	—
519	C₂×#124	—	5	16	no	—
520	C₂×#124	—	5	2	no	—
521	C₂×#124	—	5	2	no	—
522	C₂×#124	—	5	2	no	—
523	C₂×#124	—	5	2	no	—
524	C₂×#124	C₂×D₅	1	1	yes	characteristic, complemented
525	C₂×#124	C₂×D₅	1	1	yes	characteristic, complemented
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	—	5	2	no	—
532	C₂×#123	—	5	2	no	—
533	C₂×#123	—	5	2	no	—
534	C₂×#123	—	5	2	no	—
535	C₂×#123	—	5	2	no	—
536	C₂×#123	C₂×D₅	1	2	yes	complemented
537	C₂×#123	C₂×D₅	1	2	yes	complemented
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	—	5	2	no	—
542	C₂×C₂²⋊Q₈	—	5	2	no	—
543	C₂×C₂²⋊Q₈	—	5	2	no	—
544	C₂×C₂²⋊Q₈	—	5	2	no	—
545	C₂×C₂²⋊Q₈	C₂×D₅	1	2	yes	complemented
546	C₂×C₂²⋊Q₈	C₂×D₅	1	2	yes	complemented
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	—	5	2	no	—
552	C₂×#121	—	5	2	no	—
553	C₂×#121	—	5	2	no	—
554	C₂×#121	—	5	2	no	—
555	C₂×#121	—	5	2	no	—
556	C₂×#120	—	5	2	no	—
557	C₂×#120	—	5	2	no	—
558	C₂×#120	—	5	2	no	—
559	C₂×#120	—	5	2	no	—
560	C₂×#120	—	5	2	no	—
561	C₂×#120	—	5	2	no	—
562	C₂×C₄×Q₈	—	5	2	no	—
563	C₂×C₄×D₄	—	5	2	no	—
564	C₂×C₄×D₄	—	5	2	no	—
565	C₂×C₄×D₄	—	5	2	no	—
566	C₂×C₄×D₄	—	5	2	no	—
567	C₂×C₄×D₄	—	5	2	no	—
568	C₂×C₄×D₄	—	5	2	no	—
569	C₂×C₄×D₄	—	5	2	no	—
570	C₂×#117	—	5	1	no	—
571	C₂×#117	—	5	2	no	—
572	C₂×#117	—	5	2	no	—
573	C₂×#117	—	5	2	no	—
574	C₂×#117	—	5	2	no	—
575	C₂×#117	C₂×D₅	1	1	yes	characteristic, complemented
576	C₂²×C₂²⋊C₄	—	5	2	no	—
577	C₂²×C₂²⋊C₄	—	5	2	no	—
578	C₂²×C₂²⋊C₄	—	5	2	no	—
579	C₂²×C₂²⋊C₄	—	5	2	no	—
580	C₂²×C₂²⋊C₄	—	5	2	no	—
581	C₂²×C₄²	—	5	1	no	—
582	C₂³×C₅	—	2	4	no	—
583	C₂³×C₅	—	2	4	no	—
584	C₂³×C₅	—	2	4	no	—
585	C₂³×C₅	—	2	4	no	—
586	C₂³×C₅	H(5,𝔽₂)	1	4	yes	—
587	C₂³×C₅	C₂⁵	1	4	yes	—
588	C₂³×C₅	C₂⁵	1	2	yes	—
589	C₂³×C₅	C₂⁵	1	1	yes	characteristic
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	4	no	—
598	C₂²×D₅	—	2	4	no	—
599	C₂²×D₅	—	2	16	no	—
600	C₂²×D₅	—	4	8	no	—
601	C₂²×D₅	—	4	8	no	—
602	C₂²×D₅	—	4	8	no	—
603	C₂²×D₅	—	4	8	no	—
604	C₂²×D₅	—	4	8	no	—
605	C₂²×D₅	—	8	16	no	—
606	C₂²×D₅	—	8	16	no	—
607	C₂²×D₅	C₂⁵	1	4	yes	—
608	C₂²×D₅	C₂⁵	1	4	yes	—
609	C₂²×D₅	C₂⁵	1	4	yes	—
610	C₅×Q₈	—	4	4	no	—
611	C₅×Q₈	—	4	4	no	—
612	C₅×Q₈	—	4	4	no	—
613	C₅×Q₈	—	4	4	no	—
614	C₅×Q₈	—	4	4	no	—
615	C₅×D₄	—	2	16	no	—
616	C₅×D₄	—	4	4	no	—
617	C₂×C₄×C₅	—	2	2	no	—
618	C₂×C₄×C₅	—	2	2	no	—
619	C₂×C₄×C₅	—	2	4	no	—
620	C₂×C₄×C₅	—	2	8	no	—
621	C₂×C₄×C₅	—	2	2	no	—
622	C₂×C₄×C₅	—	2	2	no	—
623	C₂×C₄×C₅	—	2	8	no	—
624	C₂×C₄×C₅	—	2	2	no	—
625	C₂×C₄×C₅	—	2	2	no	—
626	C₂×C₄×C₅	—	2	8	no	—
627	C₂×C₄×C₅	—	2	4	no	—
628	C₂×C₄×C₅	—	2	4	no	—
629	C₂×C₄×C₅	—	4	8	no	—
630	C₂×C₄×C₅	C₂⁵	1	2	yes	—
631	C₂×C₄×C₅	C₂⁵	1	2	yes	—
632	C₂×C₄×C₅	C₂⁵	1	2	yes	—
633	C₂×C₄×C₅	C₂⁵	1	4	yes	—
634	C₂×C₄×C₅	C₂⁵	1	4	yes	—
635	C₂×C₄×C₅	C₂⁵	1	4	yes	—
636	C₂×C₄×C₅	C₂⁵	1	2	yes	—
637	C₂×C₄×C₅	C₂⁵	1	2	yes	—
638	C₂×C₄×C₅	C₂⁵	1	2	yes	—
639	C₂²⋊D₅	—	2	16	no	—
640	C₂²⋊D₅	—	4	8	no	—
641	C₂²⋊D₅	—	4	8	no	—
642	C₂²⋊D₅	—	4	8	no	—
643	C₂²⋊D₅	—	4	8	no	—
644	C₂×Dic₅	—	2	4	no	—
645	C₂×Dic₅	—	2	4	no	—
646	C₂×Dic₅	—	2	4	no	—
647	C₂×Dic₅	—	2	4	no	—
648	C₂×Dic₅	—	2	4	no	—
649	C₂×Dic₅	—	4	8	no	—
650	C₂×Dic₅	—	4	8	no	—
651	C₂×Dic₅	C₂⁵	1	4	yes	—
652	C₂×Dic₅	C₂⁵	1	4	yes	—
653	C₂×Dic₅	C₂⁵	1	4	yes	—
654	C₂×Dic₅	C₂⁵	1	4	yes	—
655	C₂×Dic₅	C₂⁵	1	4	yes	—
656	D₂₀	—	4	4	no	—
657	D₂₀	—	4	8	no	—
658	D₂₀	—	4	4	no	—
659	D₂₀	—	4	8	no	—
660	D₂₀	—	4	8	no	—
661	D₂₀	—	4	4	no	—
662	D₂₀	—	4	8	no	—
663	C₄×D₅	—	4	8	no	—
664	C₄×D₅	—	4	8	no	—
665	C₄×D₅	—	4	8	no	—
666	C₄×D₅	—	4	8	no	—
667	C₄×D₅	—	4	8	no	—
668	Dic₁₀	—	4	8	no	—
669	Dic₁₀	—	4	4	no	—
670	C₂⁵	—	5	2	no	—
671	C₂⁵	—	5	2	no	—
672	C₂×#41	—	4	4	no	—
673	C₂×#41	—	5	8	no	—
674	C₂×#41	—	20	4	no	—
675	C₂×#41	C₂²×D₅	1	8	yes	—
676	C₂²×Q₈	—	4	4	no	—
677	C₂²×Q₈	—	5	2	no	—
678	C₂²×Q₈	—	5	1	no	—
679	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
680	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
681	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
682	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
683	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
684	C₂²×Q₈	C₂²×D₅	1	8	yes	complemented
685	C₂²×D₄	—	5	2	no	—
686	C₂²×D₄	—	5	2	no	—
687	C₂²×D₄	—	5	2	no	—
688	C₂²×D₄	—	5	2	no	—
689	C₂²×D₄	—	5	2	no	—
690	C₂²×D₄	—	5	16	no	—
691	C₂²×D₄	—	5	2	no	—
692	C₂²×D₄	—	5	2	no	—
693	C₂²×D₄	—	5	1	no	—
694	C₂²×D₄	—	5	1	no	—
695	C₂²×D₄	—	5	2	no	—
696	C₂²×D₄	—	5	2	no	—
697	C₂²×D₄	—	5	1	no	—
698	C₂²×D₄	—	5	8	no	—
699	C₂²×D₄	—	20	4	no	—
700	C₂²×D₄	—	20	8	no	—
701	C₂²×D₄	C₂²×D₅	1	2	yes	—
702	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
703	C₂³×C₄	—	5	2	no	—
704	C₂³×C₄	—	5	2	no	—
705	C₂³×C₄	—	5	2	no	—
706	C₂³×C₄	—	5	2	no	—
707	C₂³×C₄	—	5	2	no	—
708	C₂³×C₄	—	5	2	no	—
709	C₂³×C₄	—	5	2	no	—
710	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
711	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
712	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
713	C₂³×C₄	C₂²×D₅	1	2	yes	—
714	C₄⋊Q₈	—	5	8	no	—
715	C₄⋊Q₈	—	5	8	no	—
716	C₄⋊Q₈	C₂²×D₅	1	8	yes	complemented
717	C₄⋊Q₈	C₂²×D₅	1	8	yes	complemented
718	#126	—	5	16	no	—
719	#126	—	5	16	no	—
720	#126	—	5	16	no	—
721	#126	—	5	16	no	—
722	#126	—	5	16	no	—
723	#126	—	5	16	no	—
724	#125	—	5	16	no	—
725	#124	—	5	16	no	—
726	#124	—	5	16	no	—
727	#124	—	5	8	no	—
728	#124	—	5	8	no	—
729	#124	—	5	8	no	—
730	#124	—	5	8	no	—
731	#124	—	5	8	no	—
732	#124	—	5	8	no	—
733	#124	—	5	16	no	—
734	#124	—	5	16	no	—
735	#124	—	5	16	no	—
736	#124	—	5	16	no	—
737	#124	—	5	16	no	—
738	#124	C₂²×D₅	1	8	yes	complemented
739	#124	C₂²×D₅	1	8	yes	complemented
740	#123	—	5	16	no	—
741	#123	—	5	16	no	—
742	#123	—	5	16	no	—
743	#123	—	5	16	no	—
744	#123	—	5	16	no	—
745	#123	—	5	16	no	—
746	#123	—	5	16	no	—
747	#123	—	5	16	no	—
748	#123	—	5	16	no	—
749	#123	—	5	16	no	—
750	#123	C₂²×D₅	1	16	yes	complemented
751	#123	C₂²×D₅	1	16	yes	complemented
752	C₂²⋊Q₈	—	5	16	no	—
753	C₂²⋊Q₈	—	5	16	no	—
754	C₂²⋊Q₈	—	5	16	no	—
755	C₂²⋊Q₈	—	5	16	no	—
756	C₂²⋊Q₈	—	5	16	no	—
757	C₂²⋊Q₈	—	5	16	no	—
758	C₂²⋊Q₈	—	5	16	no	—
759	C₂²⋊Q₈	C₂²×D₅	1	16	yes	complemented
760	C₂²⋊Q₈	C₂²×D₅	1	16	yes	complemented
761	#121	—	5	16	no	—
762	#121	—	5	16	no	—
763	#121	—	5	16	no	—
764	#121	—	5	16	no	—
765	#121	—	5	16	no	—
766	#121	—	5	16	no	—
767	#121	—	5	16	no	—
768	#121	—	5	16	no	—
769	#121	—	5	16	no	—
770	#120	—	5	16	no	—
771	#120	—	5	16	no	—
772	#120	—	5	16	no	—
773	#120	—	5	16	no	—
774	#120	—	5	16	no	—
775	#120	—	5	16	no	—
776	C₄×Q₈	—	5	16	no	—
777	C₄×D₄	—	5	16	no	—
778	C₄×D₄	—	5	16	no	—
779	C₄×D₄	—	5	16	no	—
780	C₄×D₄	—	5	16	no	—
781	C₄×D₄	—	5	16	no	—
782	C₄×D₄	—	5	16	no	—
783	C₄×D₄	—	5	16	no	—
784	#117	—	5	8	no	—
785	#117	—	5	16	no	—
786	#117	—	5	16	no	—
787	#117	—	5	16	no	—
788	#117	—	5	16	no	—
789	#117	C₂²×D₅	1	8	yes	complemented
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	2	no	—
795	C₂×C₄⋊C₄	—	5	2	no	—
796	C₂×C₄⋊C₄	—	5	2	no	—
797	C₂×C₄⋊C₄	—	5	2	no	—
798	C₂×C₄⋊C₄	—	5	2	no	—
799	C₂×C₄⋊C₄	—	5	2	no	—
800	C₂×C₄⋊C₄	—	5	2	no	—
801	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
802	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
803	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
804	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
805	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
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	2	no	—
821	C₂×C₂²⋊C₄	—	5	2	no	—
822	C₂×C₂²⋊C₄	—	5	2	no	—
823	C₂×C₂²⋊C₄	—	5	16	no	—
824	C₂×C₂²⋊C₄	—	5	16	no	—
825	C₂×C₂²⋊C₄	—	5	16	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	2	no	—
830	C₂×C₂²⋊C₄	—	5	2	no	—
831	C₂×C₂²⋊C₄	—	5	2	no	—
832	C₂×C₂²⋊C₄	—	5	16	no	—
833	C₂×C₂²⋊C₄	—	5	16	no	—
834	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
835	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
836	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
837	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
838	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
839	C₂×C₄²	—	5	1	no	—
840	C₂×C₄²	—	5	1	no	—
841	C₂×C₄²	—	5	2	no	—
842	C₂×C₄²	—	5	2	no	—
843	C₂×C₄²	—	5	1	no	—
844	C₂×C₄²	—	5	2	no	—
845	C₂×C₄²	—	5	1	no	—
846	C₂×C₄²	—	5	8	no	—
847	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
848	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
849	C₂²×C₅	—	2	4	no	—
850	C₂²×C₅	—	2	8	no	—
851	C₂²×C₅	—	2	4	no	—
852	C₂²×C₅	—	2	4	no	—
853	C₂²×C₅	—	2	4	no	—
854	C₂²×C₅	—	4	8	no	—
855	C₂²×C₅	C₂×H(5,𝔽₂)	1	4	yes	—
856	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
857	C₂²×C₅	#585	1	4	yes	—
858	C₂²×C₅	C₂⁶	1	1	yes	characteristic
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	—	2	4	no	—
867	C₂×D₅	—	2	4	no	—
868	C₂×D₅	—	4	8	no	—
869	C₂×D₅	—	4	8	no	—
870	C₂×D₅	—	4	8	no	—
871	C₂×D₅	—	8	16	no	—
872	C₂×D₅	—	8	16	no	—
873	C₄×C₅	—	2	2	no	—
874	C₄×C₅	—	2	2	no	—
875	C₄×C₅	—	2	4	no	—
876	C₄×C₅	—	2	2	no	—
877	C₄×C₅	—	2	2	no	—
878	C₄×C₅	—	2	2	no	—
879	C₄×C₅	—	2	2	no	—
880	C₄×C₅	—	2	4	no	—
881	C₄×C₅	—	2	4	no	—
882	Dic₅	—	2	4	no	—
883	Dic₅	—	2	4	no	—
884	Dic₅	—	2	4	no	—
885	Dic₅	—	2	4	no	—
886	Dic₅	—	2	4	no	—
887	C₂⁴	—	5	2	no	—
888	C₂⁴	—	5	2	no	—
889	C₂⁴	—	5	2	no	—
890	C₂⁴	—	5	8	no	—
891	C₂⁴	—	5	8	no	—
892	C₂⁴	—	10	8	no	—
893	C₂⁴	—	20	4	no	—
894	C₂⁴	—	20	4	no	—
895	C₂⁴	—	20	4	no	—
896	C₂⁴	—	20	4	no	—
897	C₂⁴	—	20	4	no	—
898	C₂⁴	C₂³×D₅	1	2	yes	—
899	C₂⁴	C₂³×D₅	1	1	yes	characteristic
900	#41	—	4	16	no	—
901	#41	—	20	16	no	—
902	C₂×Q₈	—	4	2	no	—
903	C₂×Q₈	—	4	2	no	—
904	C₂×Q₈	—	4	2	no	—
905	C₂×Q₈	—	4	2	no	—
906	C₂×Q₈	—	4	16	no	—
907	C₂×Q₈	—	4	2	no	—
908	C₂×Q₈	—	5	8	no	—
909	C₂×Q₈	—	5	4	no	—
910	C₂×Q₈	—	20	2	no	—
911	C₂×Q₈	—	20	4	no	—
912	C₂×Q₈	C₂³×D₅	1	4	yes	—
913	C₂×Q₈	C₂³×D₅	1	4	yes	—
914	C₂×Q₈	C₂³×D₅	1	4	yes	—
915	C₂×Q₈	C₂³×D₅	1	4	yes	—
916	C₂×Q₈	C₂³×D₅	1	4	yes	—
917	C₂×D₄	—	2	8	no	—
918	C₂×D₄	—	4	2	no	—
919	C₂×D₄	—	5	8	no	—
920	C₂×D₄	—	5	8	no	—
921	C₂×D₄	—	5	8	no	—
922	C₂×D₄	—	5	8	no	—
923	C₂×D₄	—	5	8	no	—
924	C₂×D₄	—	5	8	no	—
925	C₂×D₄	—	5	8	no	—
926	C₂×D₄	—	5	4	no	—
927	C₂×D₄	—	5	4	no	—
928	C₂×D₄	—	5	8	no	—
929	C₂×D₄	—	5	8	no	—
930	C₂×D₄	—	5	4	no	—
931	C₂×D₄	—	10	8	no	—
932	C₂×D₄	—	20	2	no	—
933	C₂×D₄	—	20	4	no	—
934	C₂×D₄	—	20	2	no	—
935	C₂×D₄	—	20	16	no	—
936	C₂×D₄	—	20	4	no	—
937	C₂×D₄	—	20	2	no	—
938	C₂×D₄	—	20	4	no	—
939	C₂×D₄	—	20	4	no	—
940	C₂×D₄	—	20	4	no	—
941	C₂×D₄	—	20	4	no	—
942	C₂×D₄	—	20	4	no	—
943	C₂×D₄	—	20	4	no	—
944	C₂×D₄	—	20	32	no	—
945	C₂×D₄	C₂³×D₅	1	8	yes	—
946	C₂×D₄	C₂³×D₅	1	4	yes	—
947	C₂²×C₄	—	2	4	no	—
948	C₂²×C₄	—	2	4	no	—
949	C₂²×C₄	—	2	4	no	—
950	C₂²×C₄	—	4	4	no	—
951	C₂²×C₄	—	5	2	no	—
952	C₂²×C₄	—	5	2	no	—
953	C₂²×C₄	—	5	2	no	—
954	C₂²×C₄	—	5	2	no	—
955	C₂²×C₄	—	5	2	no	—
956	C₂²×C₄	—	5	8	no	—
957	C₂²×C₄	—	5	8	no	—
958	C₂²×C₄	—	5	8	no	—
959	C₂²×C₄	—	5	8	no	—
960	C₂²×C₄	—	5	8	no	—
961	C₂²×C₄	—	5	8	no	—
962	C₂²×C₄	—	5	8	no	—
963	C₂²×C₄	—	20	4	no	—
964	C₂²×C₄	—	20	4	no	—
965	C₂²×C₄	—	20	4	no	—
966	C₂²×C₄	—	20	4	no	—
967	C₂²×C₄	—	20	4	no	—
968	C₂²×C₄	—	20	4	no	—
969	C₂²×C₄	—	20	4	no	—
970	C₂²×C₄	C₂³×D₅	1	4	yes	—
971	C₂²×C₄	C₂³×D₅	1	4	yes	—
972	C₂²×C₄	C₂³×D₅	1	4	yes	—
973	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
974	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
975	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
976	C₂²×C₄	C₂³×D₅	1	2	yes	—
977	C₂²×C₄	C₂³×D₅	1	2	yes	—
978	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
979	C₂²×C₄	C₂³×D₅	1	2	yes	—
980	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
981	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
982	C₂²×C₄	C₂³×D₅	1	8	yes	—
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	8	no	—
988	C₄⋊C₄	—	5	8	no	—
989	C₄⋊C₄	—	5	8	no	—
990	C₄⋊C₄	—	5	8	no	—
991	C₄⋊C₄	—	5	8	no	—
992	C₄⋊C₄	—	5	8	no	—
993	C₄⋊C₄	—	5	8	no	—
994	C₄⋊C₄	C₂³×D₅	1	8	yes	—
995	C₄⋊C₄	C₂³×D₅	1	8	yes	—
996	C₄⋊C₄	C₂³×D₅	1	8	yes	—
997	C₄⋊C₄	C₂³×D₅	1	8	yes	—
998	C₄⋊C₄	C₂³×D₅	1	8	yes	—
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	—	5	8	no	—
1020	C₂²⋊C₄	—	5	8	no	—
1021	C₂²⋊C₄	—	5	8	no	—
1022	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1023	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1024	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1025	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1026	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1027	C₄²	—	5	4	no	—
1028	C₄²	—	5	8	no	—
1029	C₄²	—	5	4	no	—
1030	C₄²	—	5	4	no	—
1031	C₄²	—	5	8	no	—
1032	C₄²	—	5	8	no	—
1033	C₄²	—	5	4	no	—
1034	C₄²	C₂³×D₅	1	4	yes	—
1035	C₄²	C₂³×D₅	1	4	yes	—
1036	C₂×C₅	—	2	4	no	—
1037	C₂×C₅	—	4	4	no	—
1038	C₂×C₅	#3545	1	4	yes	complemented
1039	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1040	C₂×C₅	C₂×#585	1	2	yes	—
1041	D₅	—	4	4	no	—
1042	D₅	—	4	4	no	—
1043	D₅	—	4	4	no	—
1044	C₂³	—	2	4	no	—
1045	C₂³	—	2	4	no	—
1046	C₂³	—	2	4	no	—
1047	C₂³	—	2	4	no	—
1048	C₂³	—	5	4	no	—
1049	C₂³	—	5	4	no	—
1050	C₂³	—	5	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	4	no	—
1059	C₂³	—	10	4	no	—
1060	C₂³	—	10	16	no	—
1061	C₂³	—	20	8	no	—
1062	C₂³	—	20	8	no	—
1063	C₂³	—	20	8	no	—
1064	C₂³	—	20	8	no	—
1065	C₂³	—	20	8	no	—
1066	C₂³	—	40	16	no	—
1067	C₂³	—	40	16	no	—
1068	C₂³	#4144	1	4	yes	—
1069	C₂³	C₂⁴×D₅	1	4	yes	—
1070	C₂³	C₂⁴×D₅	1	2	yes	—
1071	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1072	Q₈	—	4	4	no	—
1073	Q₈	—	4	4	no	—
1074	Q₈	—	4	4	no	—
1075	Q₈	—	4	4	no	—
1076	Q₈	—	4	4	no	—
1077	Q₈	—	20	4	no	—
1078	Q₈	—	20	8	no	—
1079	D₄	—	2	16	no	—
1080	D₄	—	4	4	no	—
1081	D₄	—	10	16	no	—
1082	D₄	—	20	4	no	—
1083	D₄	—	20	8	no	—
1084	D₄	—	20	4	no	—
1085	D₄	—	20	8	no	—
1086	D₄	—	20	4	no	—
1087	D₄	—	20	8	no	—
1088	D₄	—	20	8	no	—
1089	D₄	—	20	8	no	—
1090	D₄	—	20	8	no	—
1091	D₄	—	20	8	no	—
1092	D₄	—	20	8	no	—
1093	C₂×C₄	—	2	2	no	—
1094	C₂×C₄	—	2	2	no	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	8	no	—
1097	C₂×C₄	—	2	2	no	—
1098	C₂×C₄	—	2	2	no	—
1099	C₂×C₄	—	2	2	no	—
1100	C₂×C₄	—	2	8	no	—
1101	C₂×C₄	—	2	8	no	—
1102	C₂×C₄	—	2	4	no	—
1103	C₂×C₄	—	2	4	no	—
1104	C₂×C₄	—	2	4	no	—
1105	C₂×C₄	—	4	8	no	—
1106	C₂×C₄	—	5	4	no	—
1107	C₂×C₄	—	5	4	no	—
1108	C₂×C₄	—	5	4	no	—
1109	C₂×C₄	—	5	4	no	—
1110	C₂×C₄	—	5	4	no	—
1111	C₂×C₄	—	10	4	no	—
1112	C₂×C₄	—	10	4	no	—
1113	C₂×C₄	—	10	4	no	—
1114	C₂×C₄	—	10	4	no	—
1115	C₂×C₄	—	10	4	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	—	20	8	no	—
1121	C₂×C₄	—	20	8	no	—
1122	C₂×C₄	—	20	8	no	—
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	4	yes	—
1127	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1128	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1129	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1130	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1131	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1132	C₅	C₂×#3545	1	1	yes	characteristic, complemented, Sylow
1133	C₂²	—	2	4	no	—
1134	C₂²	—	2	8	no	—
1135	C₂²	—	2	4	no	—
1136	C₂²	—	2	4	no	—
1137	C₂²	—	2	4	no	—
1138	C₂²	—	4	8	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	—	10	4	no	—
1147	C₂²	—	10	4	no	—
1148	C₂²	—	20	8	no	—
1149	C₂²	—	20	8	no	—
1150	C₂²	—	20	8	no	—
1151	C₂²	—	40	16	no	—
1152	C₂²	—	40	16	no	—
1153	C₂²	C₂×#4144	1	4	yes	—
1154	C₂²	C₂×#4144	1	2	yes	—
1155	C₂²	#66287	1	4	yes	—
1156	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1157	C₄	—	2	2	no	—
1158	C₄	—	2	2	no	—
1159	C₄	—	2	2	no	—
1160	C₄	—	2	2	no	—
1161	C₄	—	2	2	no	—
1162	C₄	—	2	2	no	—
1163	C₄	—	2	4	no	—
1164	C₄	—	2	4	no	—
1165	C₄	—	2	4	no	—
1166	C₄	—	10	4	no	—
1167	C₄	—	10	4	no	—
1168	C₄	—	10	4	no	—
1169	C₄	—	10	4	no	—
1170	C₄	—	10	4	no	—
1171	C₂	—	2	4	no	—
1172	C₂	—	4	4	no	—
1173	C₂	—	20	4	no	—
1174	C₂	—	20	4	no	—
1175	C₂	—	20	4	no	—
1176	C₂	#10618248	1	4	yes	direct product factor
1177	C₂	C₂²×#4144	1	1	yes	characteristic
1178	C₂	C₂×#66287	1	2	yes	—

	subgroup	G/H
center	C₂³	C₂⁴×D₅
commutator, cosocle	C₂²×C₅	C₂⁶
Frattini	C₂²	C₂⁵×D₅
Fitting	C₂×C₅×#536	C₂
socle	C₂³×C₅	C₂⁵
hypercenter	C₂×#536	D₅
hypocenter	C₅	C₂×#3545
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ C₂×#536

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#536	C₂	semidirect
2. C₂×#66163	C₂	semidirect
3. C₂×#66150	C₂	semidirect
4. C₂²×#4093	C₂	semidirect
5. #10618248	C₂	direct (N × H)
6. C₂×#66069	C₂	semidirect
7. C₂×#66067	C₂	semidirect
8. C₂×#66068	C₂	semidirect
9. C₂×#66017	C₂	semidirect
10. C₂×#66012	C₂	semidirect
11. C₂×#66004	C₂	semidirect
12. C₂×#65992	C₂	semidirect
13. C₂×#65988	C₂	semidirect
14. C₂×#65987	C₂	semidirect
15. C₂×#65983	C₂	semidirect
16. C₂×#65981	C₂	semidirect
17. C₂×#65971	C₂	semidirect
18. C₂×#65978	C₂	semidirect
19. C₂×#65974	C₂	semidirect
20. C₂×#65861	C₂	semidirect
22. C₂³×C₅×Q₈	C₂²	semidirect
23. C₂²×D₄×D₅	C₂²	semidirect
26. C₅×#536	C₂²	semidirect
27. C₂×C₅×C₄⋊Q₈	C₂²	semidirect
28. C₂×C₅×C₄⋊Q₈	C₂²	semidirect
29. C₂×C₅×#124	C₂²	semidirect
30. C₂×C₅×#124	C₂²	semidirect
31. C₂×C₅×#123	C₂²	semidirect
32. C₂×C₅×#123	C₂²	semidirect
33. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
34. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
35. C₂×C₅×#117	C₂²	semidirect
36. #66163	C₂²	semidirect
37. #66150	C₂²	semidirect
40. C₂×#4093	C₂²	semidirect
41. C₂×#4093	C₂²	semidirect
42. C₂×#4093	C₂²	semidirect
43. C₂×#4093	C₂²	semidirect
44. C₂×#4093	C₂²	semidirect
45. C₂×#4093	C₂²	semidirect
46. C₂×#4093	C₂²	semidirect
47. C₂×#4093	C₂²	semidirect
48. C₂×#4092	C₂²	semidirect
49. C₂×#4092	C₂²	semidirect
50. C₂×#4092	C₂²	semidirect
51. C₂×#4090	C₂²	semidirect
52. C₂×#4090	C₂²	semidirect
54. C₂×#4085	C₂²	semidirect
56. C₂×#4083	C₂²	semidirect
57. C₂×D₄×Dic₅	C₂²	semidirect
58. C₂×#4076	C₂²	semidirect
59. C₂×#4075	C₂²	semidirect
60. C₂×#4075	C₂²	semidirect
61. C₂×#4075	C₂²	semidirect
62. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
63. C₂²×#685	C₂²	semidirect
64. C₂²×#685	C₂²	semidirect
65. C₂²×#685	C₂²	semidirect
66. C₂×#4072	C₂²	semidirect
67. C₂²×C₄×Dic₅	C₂²	semidirect
68. #66069	C₂²	semidirect
69. #66068	C₂²	semidirect
70. #66067	C₂²	semidirect
71. #66017	C₂²	semidirect
72. #66012	C₂²	semidirect
73. #66004	C₂²	semidirect
74. #65992	C₂²	semidirect
75. #65988	C₂²	semidirect
76. #65987	C₂²	semidirect
77. #65983	C₂²	semidirect
78. #65981	C₂²	semidirect
79. #65978	C₂²	semidirect
80. #65974	C₂²	semidirect
81. #65971	C₂²	semidirect
82. #65861	C₂²	semidirect
83. C₂×#4044	C₂²	semidirect
84. C₂×#4044	C₂²	semidirect
85. C₂×#4044	C₂²	semidirect
86. C₂×#4044	C₂²	semidirect
87. C₂×#4043	C₂²	semidirect
88. C₂×#4042	C₂²	semidirect
89. C₂×#4042	C₂²	semidirect
91. C₂×#4041	C₂²	semidirect
92. C₂×#4041	C₂²	semidirect
94. C₂×#4040	C₂²	semidirect
95. C₂×#4040	C₂²	semidirect
96. C₂×#4040	C₂²	semidirect
97. C₂×#4040	C₂²	semidirect
98. C₂×#4039	C₂²	semidirect
99. C₂×#4038	C₂²	semidirect
100. C₂×#4038	C₂²	semidirect
101. C₂×#4035	C₂²	semidirect
102. C₂×#4033	C₂²	semidirect
103. C₂×#4032	C₂²	semidirect
104. C₂×#4031	C₂²	semidirect
105. C₂×#4031	C₂²	semidirect
106. C₂×#4031	C₂²	semidirect
108. C₂×#4030	C₂²	semidirect
109. C₂×#4030	C₂²	semidirect
110. C₂×#4029	C₂²	semidirect
113. C₂×#4028	C₂²	semidirect
114. C₂×#4028	C₂²	semidirect
115. C₂×#4027	C₂²	semidirect
116. C₂×#4027	C₂²	semidirect
117. C₂×#4027	C₂²	semidirect
118. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
119. C₂×D₅×C₂²⋊C₄	C₂²	semidirect
120. C₂×#4025	C₂²	semidirect
121. C₂×#4024	C₂²	semidirect
122. C₂×#4023	C₂²	semidirect
123. C₂×#4022	C₂²	semidirect
124. C₂×#4021	C₂²	semidirect
125. C₂×C₄×D₂₀	C₂²	semidirect
126. C₂×#4018	C₂²	semidirect
138. C₂²×C₅×Q₈	C₂³	semidirect
153. C₂×D₄×D₅	C₂³	semidirect
172. C₅×C₄⋊Q₈	C₂³	semidirect
173. C₅×C₄⋊Q₈	C₂³	semidirect
174. C₅×#124	C₂³	semidirect
175. C₅×#124	C₂³	semidirect
176. C₅×#123	C₂³	semidirect
177. C₅×#123	C₂³	semidirect
178. C₅×C₂²⋊Q₈	C₂³	semidirect
179. C₅×C₂²⋊Q₈	C₂³	semidirect
180. C₅×#117	C₂³	semidirect
198. #4093	C₂³	semidirect
199. #4093	C₂³	semidirect
200. #4093	C₂³	semidirect
201. #4093	C₂³	semidirect
202. #4093	C₂³	semidirect
203. #4093	C₂³	semidirect
204. #4093	C₂³	semidirect
205. #4092	C₂³	semidirect
206. #4092	C₂³	semidirect
207. #4092	C₂³	semidirect
208. #4090	C₂³	semidirect
209. #4090	C₂³	semidirect
211. #4085	C₂³	semidirect
213. #4083	C₂³	semidirect
214. D₄×Dic₅	C₂³	semidirect
215. #4076	C₂³	semidirect
216. #4075	C₂³	semidirect
217. #4075	C₂³	semidirect
218. #4075	C₂³	semidirect
219. C₄×C₂²⋊D₅	C₂³	semidirect
240. C₂×#685	C₂³	semidirect
241. C₂×#685	C₂³	semidirect
242. C₂×#685	C₂³	semidirect
243. #4072	C₂³	semidirect
262. C₂×C₄×Dic₅	C₂³	semidirect
263. #4044	C₂³	semidirect
264. #4044	C₂³	semidirect
265. #4044	C₂³	semidirect
266. #4044	C₂³	semidirect
267. #4043	C₂³	semidirect
268. #4042	C₂³	semidirect
269. #4042	C₂³	semidirect
271. #4041	C₂³	semidirect
272. #4041	C₂³	semidirect
274. #4040	C₂³	semidirect
275. #4040	C₂³	semidirect
276. #4040	C₂³	semidirect
277. #4040	C₂³	semidirect
278. #4039	C₂³	semidirect
279. #4038	C₂³	semidirect
280. #4038	C₂³	semidirect
281. #4035	C₂³	semidirect
282. #4033	C₂³	semidirect
283. #4032	C₂³	semidirect
284. #4031	C₂³	semidirect
285. #4031	C₂³	semidirect
286. #4031	C₂³	semidirect
288. #4030	C₂³	semidirect
289. #4030	C₂³	semidirect
290. #4029	C₂³	semidirect
293. #4028	C₂³	semidirect
294. #4028	C₂³	semidirect
295. #4027	C₂³	semidirect
296. #4027	C₂³	semidirect
297. #4027	C₂³	semidirect
298. D₅×C₂²⋊C₄	C₂³	semidirect
299. D₅×C₂²⋊C₄	C₂³	semidirect
300. #4025	C₂³	semidirect
301. #4024	C₂³	semidirect
302. #4023	C₂³	semidirect
303. #4022	C₂³	semidirect
304. #4021	C₂³	semidirect
305. C₄×D₂₀	C₂³	semidirect
306. #4018	C₂³	semidirect
323. C₂×#536	D₅	semidirect
478. C₂³×Q₈	C₂×D₅	semidirect
496. #536	C₂×D₅	semidirect
500. C₂×C₄⋊Q₈	C₂×D₅	semidirect
501. C₂×C₄⋊Q₈	C₂×D₅	semidirect
524. C₂×#124	C₂×D₅	semidirect
525. C₂×#124	C₂×D₅	semidirect
536. C₂×#123	C₂×D₅	semidirect
537. C₂×#123	C₂×D₅	semidirect
545. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
546. C₂×C₂²⋊Q₈	C₂×D₅	semidirect
575. C₂×#117	C₂×D₅	semidirect
684. C₂²×Q₈	C₂²×D₅	semidirect
716. C₄⋊Q₈	C₂²×D₅	semidirect
717. C₄⋊Q₈	C₂²×D₅	semidirect
738. #124	C₂²×D₅	semidirect
739. #124	C₂²×D₅	semidirect
750. #123	C₂²×D₅	semidirect
751. #123	C₂²×D₅	semidirect
759. C₂²⋊Q₈	C₂²×D₅	semidirect
760. C₂²⋊Q₈	C₂²×D₅	semidirect
789. #117	C₂²×D₅	semidirect
1038. C₂×C₅	#3545	semidirect
1132. C₅	C₂×#3545	semidirect
1176. C₂	#10618248	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×#536	2
C₂×#66163	2
C₂×#66150	2
C₂²×#4093	2
#10618248	2
C₂×#66069	2
C₂×#66067	2
C₂×#66068	2
C₂×#66017	2
C₂×#66012	2
C₂×#66004	2
C₂×#65992	2
C₂×#65988	2
C₂×#65987	2
C₂×#65983	2
C₂×#65981	2
C₂×#65971	2
C₂×#65978	2
C₂×#65974	2
C₂×#65861	2
C₂×#3545	5

Subgroups — C2×#10618248 #13007057

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#10618248 #13007057