Subgroups — #13007334

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	C₂²×C₄×C₅×D₄	C₂	1	1	yes	maximal, characteristic, complemented
2	#10619140	C₂	1	2	yes	maximal, complemented
3	C₂×#66125	C₂	1	4	yes	maximal, complemented
4	#10617691	C₂	1	4	yes	maximal, complemented
5	#10617690	C₂	1	8	yes	maximal, complemented
6	#10617689	C₂	1	2	yes	maximal, complemented
7	#10617688	C₂	1	4	yes	maximal, complemented
8	#10617687	C₂	1	1	yes	maximal, characteristic, complemented
9	#10617686	C₂	1	8	yes	maximal, complemented
10	D₄×#709	C₂	1	4	yes	maximal, complemented
11	#10617678	C₂	1	2	yes	maximal, complemented
12	#10617677	C₂	1	4	yes	maximal, complemented
13	#10617668	C₂	1	4	yes	maximal, complemented
14	#10617667	C₂	1	1	yes	maximal, characteristic, complemented
15	#10617665	C₂	1	4	yes	maximal, complemented
16	C₄×#4144	C₂	1	2	yes	maximal, complemented
17	#10617619	C₂	1	2	yes	maximal, complemented
18	#10617598	C₂	1	4	yes	maximal, complemented
19	#10617581	C₂	1	2	yes	maximal, complemented
20	C₂³×C₅×D₄	C₂²	1	1	yes	characteristic
21	C₂⁴×C₄×C₅	C₂²	1	2	yes	complemented
22	C₂×#4144	C₂²	1	2	yes	—
23	C₂²×#709	C₂²	1	4	yes	complemented
24	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
25	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
26	C₂×C₄×C₅×D₄	C₂²	1	4	yes	complemented
27	C₂×C₄×C₅×D₄	C₂²	1	4	yes	complemented
28	C₂×C₄×C₅×D₄	C₂²	1	2	yes	complemented
29	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₄×C₅×D₄	C₂²	1	4	yes	complemented
31	C₂×C₄×C₅×D₄	C₂²	1	2	yes	complemented
32	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₄×C₅×D₄	C₂²	1	4	yes	complemented
34	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
36	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic, complemented
37	C₂×#4099	C₂²	1	8	yes	complemented
38	#66140	C₂²	1	8	yes	complemented
39	#66140	C₂²	1	8	yes	complemented
40	#66139	C₂²	1	4	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	#66132	C₂²	1	2	yes	—
45	#66125	C₂²	1	4	yes	complemented
46	#66125	C₂²	1	8	yes	complemented
47	#66125	C₂²	1	4	yes	complemented
48	#66125	C₂²	1	4	yes	complemented
49	#66125	C₂²	1	8	yes	complemented
50	#66125	C₂²	1	8	yes	complemented
51	#66125	C₂²	1	8	yes	complemented
52	#66125	C₂²	1	8	yes	complemented
53	#66125	C₂²	1	8	yes	complemented
54	#66125	C₂²	1	8	yes	complemented
55	C₂×#4076	C₂²	1	4	yes	complemented
56	C₂×#4076	C₂²	1	4	yes	complemented
57	C₂×#4075	C₂²	1	8	yes	complemented
58	C₂×C₄×C₂²⋊D₅	C₂²	1	8	yes	complemented
59	C₂×C₄×C₂²⋊D₅	C₂²	1	8	yes	complemented
60	C₂×#4072	C₂²	1	4	yes	complemented
61	C₂×#4070	C₂²	1	4	yes	complemented
62	C₂×#4070	C₂²	1	4	yes	complemented
63	#65899	C₂²	1	8	yes	complemented
64	#65898	C₂²	1	16	yes	complemented
65	#65897	C₂²	1	4	yes	complemented
66	#65896	C₂²	1	8	yes	complemented
67	#65895	C₂²	1	8	yes	complemented
68	#65894	C₂²	1	16	yes	complemented
69	#65893	C₂²	1	8	yes	complemented
70	#65892	C₂²	1	8	yes	complemented
71	#65891	C₂²	1	8	yes	complemented
72	#65890	C₂²	1	16	yes	complemented
73	#65889	C₂²	1	4	yes	complemented
74	#65888	C₂²	1	8	yes	complemented
75	#65887	C₂²	1	4	yes	complemented
76	#65886	C₂²	1	8	yes	complemented
77	#65885	C₂²	1	4	yes	complemented
78	#65884	C₂²	1	8	yes	complemented
79	D₄×D₂₀	C₂²	1	4	yes	complemented
80	#65882	C₂²	1	8	yes	complemented
81	#65881	C₂²	1	16	yes	complemented
82	#65880	C₂²	1	8	yes	complemented
83	#65879	C₂²	1	8	yes	complemented
84	C₄×D₄×D₅	C₂²	1	8	yes	complemented
85	#65877	C₂²	1	4	yes	complemented
86	#65876	C₂²	1	4	yes	complemented
87	#65875	C₂²	1	8	yes	complemented
88	#65874	C₂²	1	16	yes	complemented
89	#65873	C₂²	1	8	yes	complemented
90	#65872	C₂²	1	16	yes	complemented
91	D₄×Dic₁₀	C₂²	1	4	yes	complemented
92	C₄×#711	C₂²	1	8	yes	complemented
93	#65849	C₂²	1	8	yes	complemented
94	#65848	C₂²	1	8	yes	complemented
95	#65847	C₂²	1	8	yes	complemented
96	#65845	C₂²	1	8	yes	complemented
97	#65844	C₂²	1	2	yes	complemented
98	#65841	C₂²	1	8	yes	complemented
99	#65838	C₂²	1	4	yes	complemented
100	#65834	C₂²	1	2	yes	complemented
101	#65829	C₂²	1	16	yes	complemented
102	#65829	C₂²	1	16	yes	complemented
103	#65828	C₂²	1	8	yes	complemented
104	#65828	C₂²	1	8	yes	complemented
105	#65827	C₂²	1	4	yes	complemented
106	#65824	C₂²	1	16	yes	complemented
107	#65824	C₂²	1	16	yes	complemented
108	#65820	C₂²	1	8	yes	complemented
109	#65817	C₂²	1	4	yes	complemented
110	#65813	C₂²	1	4	yes	complemented
111	#65813	C₂²	1	4	yes	complemented
112	#65813	C₂²	1	4	yes	complemented
113	#65813	C₂²	1	4	yes	complemented
114	#65813	C₂²	1	4	yes	complemented
115	#65813	C₂²	1	4	yes	complemented
116	#65811	C₂²	1	2	yes	complemented
117	#65811	C₂²	1	2	yes	complemented
118	#65811	C₂²	1	2	yes	complemented
119	C₄×#709	C₂²	1	4	yes	complemented
120	C₄×#709	C₂²	1	4	yes	complemented
121	C₄×#709	C₂²	1	4	yes	complemented
122	#65804	C₂²	1	2	yes	complemented
123	#65804	C₂²	1	2	yes	complemented
124	#65804	C₂²	1	2	yes	complemented
125	#62773	—	5	1	no	maximal, Sylow
126	C₂⁵×C₅	C₂³	1	2	yes	—
127	C₂²×C₅×D₄	—	2	8	no	—
128	C₂²×C₅×D₄	C₂³	1	4	yes	—
129	C₂²×C₅×D₄	C₂³	1	4	yes	—
130	C₂²×C₅×D₄	C₂³	1	2	yes	—
131	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
132	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
133	C₂³×C₄×C₅	—	4	8	no	—
134	C₂³×C₄×C₅	C₂³	1	4	yes	—
135	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
136	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
137	C₂³×C₄×C₅	C₂³	1	2	yes	—
138	C₂³×C₄×C₅	C₂³	1	4	yes	—
139	C₂³×C₄×C₅	C₂³	1	2	yes	—
140	C₂³×C₄×C₅	C₂³	1	4	yes	—
141	C₂³×C₄×C₅	C₂³	1	4	yes	—
142	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
143	C₂³×C₄×C₅	C₂³	1	2	yes	—
144	C₂³×C₄×C₅	C₂³	1	2	yes	—
145	C₂³×C₄×C₅	C₂³	1	2	yes	—
146	C₂²×C₂²⋊D₅	C₂³	1	8	yes	—
147	C₂²×C₂²⋊D₅	C₂³	1	8	yes	—
148	C₂²×C₂²⋊D₅	C₂³	1	8	yes	—
149	#4144	—	2	16	no	—
150	C₂×#711	C₂³	1	8	yes	—
151	C₂×D₄×D₅	C₂³	1	8	yes	—
152	C₂×#709	—	4	16	no	—
153	C₂×#709	C₂³	1	4	yes	—
154	C₂×#709	C₂³	1	4	yes	—
155	C₂×#709	C₂³	1	4	yes	—
156	C₂×#709	C₂³	1	8	yes	—
157	C₂×#709	C₂³	1	8	yes	complemented
158	C₂×#709	C₂³	1	8	yes	complemented
159	C₂²×D₂₀	C₂³	1	4	yes	complemented
160	C₂²×C₄×D₅	C₂³	1	8	yes	complemented
161	C₂²×Dic₁₀	C₂³	1	4	yes	complemented
162	C₄×C₅×D₄	C₂³	1	4	yes	—
163	C₄×C₅×D₄	C₂³	1	4	yes	—
164	C₄×C₅×D₄	C₂³	1	8	yes	—
165	C₄×C₅×D₄	C₂³	1	4	yes	—
166	C₄×C₅×D₄	C₂³	1	8	yes	—
167	C₄×C₅×D₄	C₂³	1	8	yes	—
168	C₄×C₅×D₄	C₂³	1	4	yes	—
169	C₄×C₅×D₄	C₂³	1	4	yes	—
170	C₄×C₅×D₄	C₂³	1	4	yes	—
171	C₄×C₅×D₄	C₂³	1	4	yes	—
172	C₄×C₅×D₄	C₂³	1	8	yes	—
173	C₄×C₅×D₄	C₂³	1	4	yes	—
174	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
175	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
176	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	—
177	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	—
178	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
179	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
180	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
181	C₂×C₅×C₂²⋊C₄	C₂³	1	8	yes	—
182	C₂×C₅×C₂²⋊C₄	C₂³	1	8	yes	—
183	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
184	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
185	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
186	C₂×C₄²×C₅	C₂³	1	2	yes	—
187	C₂×C₄²×C₅	C₂³	1	2	yes	—
188	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
189	C₂×C₄²×C₅	C₂³	1	2	yes	—
190	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
191	C₂×C₄²×C₅	C₂³	1	2	yes	—
192	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
193	#4099	C₂³	1	16	yes	—
194	#4099	C₂³	1	16	yes	—
195	#4099	C₂³	1	16	yes	—
196	#4099	C₂³	1	8	yes	—
197	C₂×C₂²⋊Dic₅	C₂³	1	8	yes	—
198	C₂×C₂²⋊Dic₅	C₂³	1	8	yes	—
199	C₂×C₂²⋊Dic₅	C₂³	1	8	yes	—
200	#4086	C₂³	1	8	yes	—
201	#4085	C₂³	1	16	yes	—
202	#4085	C₂³	1	16	yes	—
203	#4084	C₂³	1	8	yes	—
204	#4084	C₂³	1	8	yes	—
205	#4083	C₂³	1	16	yes	—
206	#4082	C₂³	1	8	yes	—
207	#4081	C₂³	1	16	yes	—
208	D₄×Dic₅	C₂³	1	8	yes	—
209	D₄×Dic₅	C₂³	1	8	yes	—
210	#4076	C₂³	1	4	yes	—
211	#4076	C₂³	1	4	yes	—
212	#4076	C₂³	1	4	yes	—
213	#4076	C₂³	1	4	yes	—
214	#4076	C₂³	1	4	yes	—
215	#4076	C₂³	1	4	yes	—
216	#4076	C₂³	1	8	yes	—
217	#4076	C₂³	1	8	yes	—
218	#4076	C₂³	1	8	yes	complemented
219	#4076	C₂³	1	8	yes	complemented
220	#4076	C₂³	1	8	yes	complemented
221	#4076	C₂³	1	8	yes	complemented
222	#4075	C₂³	1	8	yes	—
223	#4075	C₂³	1	8	yes	—
224	#4075	C₂³	1	8	yes	—
225	#4075	C₂³	1	16	yes	—
226	#4075	C₂³	1	16	yes	complemented
227	#4075	C₂³	1	16	yes	complemented
228	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
229	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
230	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
231	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
232	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
233	C₄×C₂²⋊D₅	C₂³	1	8	yes	—
234	C₄×C₂²⋊D₅	C₂³	1	16	yes	—
235	C₄×C₂²⋊D₅	C₂³	1	16	yes	—
236	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
237	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
238	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
239	C₄×C₂²⋊D₅	C₂³	1	16	yes	complemented
240	C₂×#685	C₂³	1	8	yes	complemented
241	C₂×#685	C₂³	1	8	yes	complemented
242	#4072	C₂³	1	4	yes	—
243	#4072	C₂³	1	4	yes	—
244	#4072	C₂³	1	4	yes	—
245	#4072	C₂³	1	8	yes	—
246	#4072	C₂³	1	8	yes	complemented
247	#4072	C₂³	1	8	yes	complemented
248	C₂×C₄⋊Dic₅	C₂³	1	4	yes	complemented
249	C₂×C₄⋊Dic₅	C₂³	1	4	yes	complemented
250	#4070	C₂³	1	4	yes	—
251	#4070	C₂³	1	4	yes	—
252	#4070	C₂³	1	4	yes	—
253	#4070	C₂³	1	4	yes	—
254	#4070	C₂³	1	4	yes	—
255	#4070	C₂³	1	4	yes	—
256	#4070	C₂³	1	8	yes	—
257	#4070	C₂³	1	8	yes	—
258	#4070	C₂³	1	8	yes	complemented
259	#4070	C₂³	1	8	yes	complemented
260	#4070	C₂³	1	8	yes	complemented
261	#4070	C₂³	1	8	yes	complemented
262	C₂×#683	C₂³	1	8	yes	complemented
263	C₂×#683	C₂³	1	8	yes	complemented
264	C₂×C₄×Dic₅	C₂³	1	8	yes	complemented
265	#4044	C₂³	1	16	yes	complemented
266	#4043	C₂³	1	8	yes	complemented
267	#4042	C₂³	1	16	yes	complemented
268	#4041	C₂³	1	8	yes	complemented
269	#4040	C₂³	1	16	yes	complemented
270	#4039	C₂³	1	8	yes	complemented
271	#4038	C₂³	1	8	yes	complemented
272	D₅×C₄⋊C₄	C₂³	1	8	yes	complemented
273	#4036	C₂³	1	8	yes	complemented
274	#4035	C₂³	1	16	yes	complemented
275	#4034	C₂³	1	8	yes	complemented
276	#4033	C₂³	1	8	yes	complemented
277	#4032	C₂³	1	16	yes	complemented
278	#4031	C₂³	1	16	yes	complemented
279	#4031	C₂³	1	16	yes	complemented
280	#4030	C₂³	1	16	yes	complemented
281	#4030	C₂³	1	16	yes	complemented
282	#4029	C₂³	1	16	yes	complemented
283	#4029	C₂³	1	16	yes	complemented
284	#4028	C₂³	1	16	yes	complemented
285	#4027	C₂³	1	16	yes	complemented
286	#4027	C₂³	1	16	yes	complemented
287	D₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
288	#4025	C₂³	1	16	yes	complemented
289	#4025	C₂³	1	16	yes	complemented
290	#4024	C₂³	1	16	yes	complemented
291	#4024	C₂³	1	16	yes	complemented
292	#4023	C₂³	1	16	yes	complemented
293	#4022	C₂³	1	8	yes	complemented
294	#4022	C₂³	1	8	yes	complemented
295	#4021	C₂³	1	4	yes	complemented
296	#4021	C₂³	1	4	yes	complemented
297	#4021	C₂³	1	4	yes	complemented
298	#4020	C₂³	1	2	yes	complemented
299	C₄×D₂₀	C₂³	1	4	yes	complemented
300	C₄×D₂₀	C₂³	1	4	yes	complemented
301	C₄×D₂₀	C₂³	1	4	yes	complemented
302	C₄×D₂₀	C₂³	1	4	yes	complemented
303	C₄×D₂₀	C₂³	1	4	yes	complemented
304	C₄×D₂₀	C₂³	1	4	yes	complemented
305	#4018	C₂³	1	8	yes	complemented
306	#4018	C₂³	1	8	yes	complemented
307	#4018	C₂³	1	8	yes	complemented
308	C₄²×D₅	C₂³	1	8	yes	complemented
309	#4016	C₂³	1	4	yes	complemented
310	#4016	C₂³	1	4	yes	complemented
311	#4016	C₂³	1	4	yes	complemented
312	#4015	C₂³	1	2	yes	complemented
313	#4015	C₂³	1	2	yes	complemented
314	#4015	C₂³	1	2	yes	complemented
315	C₄×Dic₁₀	C₂³	1	4	yes	complemented
316	C₄×Dic₁₀	C₂³	1	4	yes	complemented
317	C₄×Dic₁₀	C₂³	1	4	yes	complemented
318	C₄×Dic₁₀	C₂³	1	4	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	—	5	1	no	—
328	#3492	—	5	2	no	—
329	#3490	—	5	4	no	—
330	#3484	—	5	2	no	—
331	#3481	—	5	8	no	—
332	#3475	—	5	4	no	—
333	D₄×#41	—	5	4	no	—
334	#3460	—	5	2	no	—
335	#3459	—	5	4	no	—
336	#3444	—	5	2	no	—
337	C₂×#525	—	5	4	no	—
338	C₄×H(5,𝔽₂)	—	5	2	no	—
339	C₂²×C₄×D₄	D₅	1	1	yes	characteristic, complemented
340	C₂⁴×C₅	—	2	8	no	—
341	C₂⁴×C₅	—	4	4	no	—
342	C₂⁴×C₅	—	4	4	no	—
343	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
344	C₂⁴×C₅	C₂⁴	1	4	yes	—
345	C₂⁴×C₅	C₂⁴	1	4	yes	—
346	C₂⁴×C₅	C₂⁴	1	2	yes	—
347	C₂⁴×C₅	C₂⁴	1	2	yes	—
348	C₂³×D₅	C₂⁴	1	8	yes	—
349	C₂×C₅×D₄	—	2	8	no	—
350	C₂×C₅×D₄	—	2	16	no	—
351	C₂×C₅×D₄	—	2	16	no	—
352	C₂×C₅×D₄	—	2	4	no	—
353	C₂×C₅×D₄	#41	1	8	yes	complemented
354	C₂×C₅×D₄	C₂⁴	1	8	yes	—
355	C₂×C₅×D₄	C₂⁴	1	4	yes	—
356	C₂×C₅×D₄	C₂⁴	1	4	yes	—
357	C₂²×C₄×C₅	—	2	4	no	—
358	C₂²×C₄×C₅	—	2	16	no	—
359	C₂²×C₄×C₅	—	2	4	no	—
360	C₂²×C₄×C₅	—	4	4	no	—
361	C₂²×C₄×C₅	—	4	8	no	—
362	C₂²×C₄×C₅	—	4	4	no	—
363	C₂²×C₄×C₅	—	4	8	no	—
364	C₂²×C₄×C₅	—	4	4	no	—
365	C₂²×C₄×C₅	—	4	4	no	—
366	C₂²×C₄×C₅	—	4	4	no	—
367	C₂²×C₄×C₅	—	4	8	no	—
368	C₂²×C₄×C₅	—	4	2	no	—
369	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
370	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
371	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
372	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
379	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
380	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
381	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
382	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
383	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
385	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
387	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
388	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
389	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
390	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
391	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
392	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
393	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
395	C₂×C₂²⋊D₅	—	2	32	no	—
396	C₂×C₂²⋊D₅	—	4	16	no	—
397	C₂×C₂²⋊D₅	—	4	16	no	—
398	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
399	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
400	C₂×C₂²⋊D₅	C₂⁴	1	8	yes	—
401	C₂×C₂²⋊D₅	C₂⁴	1	16	yes	—
402	C₂×C₂²⋊D₅	C₂⁴	1	16	yes	—
403	C₂×C₂²⋊D₅	C₂⁴	1	16	yes	—
404	C₂²×Dic₅	C₂⁴	1	8	yes	—
405	C₂²×Dic₅	C₂⁴	1	8	yes	—
406	C₂²×Dic₅	C₂⁴	1	8	yes	—
407	#711	—	2	32	no	—
408	D₄×D₅	—	2	32	no	—
409	#709	—	2	16	no	—
410	#709	—	2	16	no	—
411	#709	—	4	16	no	—
412	#709	—	4	16	no	—
413	#709	—	4	16	no	—
414	#709	—	4	8	no	—
415	C₂×D₂₀	—	4	8	no	—
416	C₂×D₂₀	C₂⁴	1	4	yes	—
417	C₂×D₂₀	C₂⁴	1	4	yes	—
418	C₂×D₂₀	C₂⁴	1	8	yes	—
419	C₂×D₂₀	C₂⁴	1	4	yes	—
420	C₂×C₄×D₅	—	4	16	no	—
421	C₂×C₄×D₅	C₂⁴	1	8	yes	—
422	C₂×C₄×D₅	C₂⁴	1	8	yes	—
423	C₂×C₄×D₅	C₂⁴	1	16	yes	—
424	C₂×C₄×D₅	C₂⁴	1	8	yes	—
425	C₂×Dic₁₀	—	4	8	no	—
426	C₂×Dic₁₀	C₂⁴	1	4	yes	—
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×C₂²⋊C₄	C₂⁴	1	8	yes	—
434	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
435	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
436	C₅×C₂²⋊C₄	C₂⁴	1	8	yes	—
437	C₄²×C₅	C₂⁴	1	2	yes	—
438	C₄²×C₅	C₂⁴	1	2	yes	—
439	C₄²×C₅	C₂⁴	1	2	yes	—
440	C₄²×C₅	C₂⁴	1	2	yes	—
441	C₄²×C₅	C₂⁴	1	2	yes	—
442	C₄²×C₅	C₂⁴	1	2	yes	—
443	C₄²×C₅	C₂⁴	1	2	yes	—
444	C₄²×C₅	C₂⁴	1	2	yes	—
445	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
446	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
447	C₂²⋊Dic₅	C₂⁴	1	8	yes	—
448	C₂²⋊Dic₅	C₂⁴	1	16	yes	—
449	C₂²⋊Dic₅	C₂⁴	1	16	yes	—
450	C₂²⋊Dic₅	C₂⁴	1	16	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	16	yes	—
458	#685	C₂⁴	1	16	yes	—
459	C₄⋊Dic₅	C₂⁴	1	4	yes	—
460	C₄⋊Dic₅	C₂⁴	1	4	yes	—
461	C₄⋊Dic₅	C₂⁴	1	4	yes	—
462	C₄⋊Dic₅	C₂⁴	1	4	yes	—
463	C₄⋊Dic₅	C₂⁴	1	4	yes	—
464	C₄⋊Dic₅	C₂⁴	1	4	yes	—
465	C₄⋊Dic₅	C₂⁴	1	8	yes	—
466	C₄⋊Dic₅	C₂⁴	1	8	yes	—
467	#683	C₂⁴	1	8	yes	—
468	#683	C₂⁴	1	8	yes	—
469	#683	C₂⁴	1	8	yes	—
470	#683	C₂⁴	1	8	yes	—
471	#683	C₂⁴	1	8	yes	—
472	#683	C₂⁴	1	8	yes	—
473	#683	C₂⁴	1	16	yes	—
474	#683	C₂⁴	1	16	yes	—
475	C₄×Dic₅	C₂⁴	1	8	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)	—	5	2	no	—
480	C₂²×#41	—	5	4	no	—
481	C₂³×D₄	C₂×D₅	1	1	yes	characteristic
482	C₂⁴×C₄	C₂×D₅	1	2	yes	complemented
483	#559	—	5	8	no	—
484	#556	—	5	4	no	—
485	#555	—	5	4	no	—
486	#554	—	5	8	no	—
487	#554	—	5	4	no	—
488	#554	—	5	8	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	4	no	—
502	#547	—	5	4	no	—
503	#547	—	5	8	no	—
504	#546	—	5	8	no	—
505	#546	—	5	8	no	—
506	#546	—	5	8	no	—
507	#546	—	5	8	no	—
508	#546	—	5	16	no	—
509	#546	—	5	16	no	—
510	D₄²	—	5	8	no	—
511	D₄²	—	5	8	no	—
512	D₄²	—	5	4	no	—
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	16	no	—
520	#538	—	5	8	no	—
521	#538	—	5	8	no	—
522	#537	—	5	2	no	—
523	#535	—	5	4	no	—
524	#534	—	5	8	no	—
525	#534	—	5	4	no	—
526	#533	—	5	2	no	—
527	#533	—	5	2	no	—
528	#533	—	5	2	no	—
529	#532	—	5	8	no	—
530	#532	—	5	2	no	—
531	#532	—	5	2	no	—
532	#532	—	5	2	no	—
533	#529	—	5	16	no	—
534	#529	—	5	8	no	—
535	#529	—	5	4	no	—
536	#529	—	5	4	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	8	no	—
543	#525	—	5	8	no	—
544	#525	—	5	8	no	—
545	#525	—	5	8	no	—
546	#525	—	5	8	no	—
547	#525	—	5	8	no	—
548	#525	—	5	8	no	—
549	#525	—	5	4	no	—
550	#525	—	5	4	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	—	5	4	no	—
557	C₂×#120	—	5	8	no	—
558	#520	—	5	8	no	—
559	#520	—	5	4	no	—
560	#518	—	5	2	no	—
561	#518	—	5	8	no	—
562	#518	—	5	8	no	—
563	C₄×#41	—	5	8	no	—
564	C₄×#41	—	5	4	no	—
565	C₄×#41	—	5	4	no	—
566	C₄×#41	—	5	4	no	—
567	C₂×C₄×D₄	—	5	8	no	—
568	C₂×C₄×D₄	—	5	8	no	—
569	C₂×C₄×D₄	—	5	8	no	—
570	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic
571	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic
572	C₂×C₄×D₄	C₂×D₅	1	2	yes	complemented
573	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
574	C₂×C₄×D₄	C₂×D₅	1	4	yes	complemented
575	C₂×C₄×D₄	C₂×D₅	1	4	yes	complemented
576	C₂×C₄×D₄	C₂×D₅	1	2	yes	complemented
577	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
578	C₂×C₄×D₄	C₂×D₅	1	4	yes	complemented
579	C₂×C₄×D₄	C₂×D₅	1	4	yes	complemented
580	C₂×#117	—	5	4	no	—
581	C₂²×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
582	C₂²×C₂²⋊C₄	C₂×D₅	1	2	yes	complemented
583	C₂²×C₄²	C₂×D₅	1	1	yes	characteristic, complemented
584	C₂³×C₅	—	2	2	no	—
585	C₂³×C₅	—	2	2	no	—
586	C₂³×C₅	—	2	2	no	—
587	C₂³×C₅	—	2	8	no	—
588	C₂³×C₅	—	2	8	no	—
589	C₂³×C₅	—	2	4	no	—
590	C₂³×C₅	—	2	8	no	—
591	C₂³×C₅	—	2	8	no	—
592	C₂³×C₅	—	4	2	no	—
593	C₂³×C₅	—	4	4	no	—
594	C₂³×C₅	—	4	2	no	—
595	C₂³×C₅	—	4	2	no	—
596	C₂³×C₅	—	4	4	no	—
597	C₂³×C₅	—	4	2	no	—
598	C₂³×C₅	—	4	32	no	—
599	C₂³×C₅	C₂×#41	1	8	yes	complemented
600	C₂³×C₅	C₂⁵	1	4	yes	—
601	C₂³×C₅	C₂⁵	1	1	yes	characteristic
602	C₂³×C₅	C₂⁵	1	4	yes	—
603	C₂³×C₅	C₂⁵	1	1	yes	characteristic
604	C₂³×C₅	C₂⁵	1	1	yes	characteristic
605	C₂²×D₅	—	2	16	no	—
606	C₂²×D₅	—	4	8	no	—
607	C₂²×D₅	—	4	8	no	—
608	C₂²×D₅	C₂⁵	1	8	yes	—
609	C₅×D₄	—	2	16	no	—
610	C₅×D₄	—	2	8	no	—
611	C₅×D₄	C₂×#41	1	16	yes	complemented
612	C₂×C₄×C₅	—	2	2	no	—
613	C₂×C₄×C₅	—	2	8	no	—
614	C₂×C₄×C₅	—	2	2	no	—
615	C₂×C₄×C₅	—	2	4	no	—
616	C₂×C₄×C₅	—	2	4	no	—
617	C₂×C₄×C₅	—	2	4	no	—
618	C₂×C₄×C₅	—	2	8	no	—
619	C₂×C₄×C₅	—	2	8	no	—
620	C₂×C₄×C₅	—	2	8	no	—
621	C₂×C₄×C₅	—	2	8	no	—
622	C₂×C₄×C₅	—	2	2	no	—
623	C₂×C₄×C₅	—	2	2	no	—
624	C₂×C₄×C₅	—	2	2	no	—
625	C₂×C₄×C₅	—	2	2	no	—
626	C₂×C₄×C₅	—	4	2	no	—
627	C₂×C₄×C₅	—	4	4	no	—
628	C₂×C₄×C₅	—	4	4	no	—
629	C₂×C₄×C₅	—	4	4	no	—
630	C₂×C₄×C₅	—	4	2	no	—
631	C₂×C₄×C₅	—	4	4	no	—
632	C₂×C₄×C₅	—	4	4	no	—
633	C₂×C₄×C₅	—	4	1	no	—
634	C₂×C₄×C₅	—	4	2	no	—
635	C₂×C₄×C₅	—	4	1	no	—
636	C₂×C₄×C₅	C₂×#41	1	4	yes	complemented
637	C₂×C₄×C₅	H(5,𝔽₂)	1	4	yes	complemented
638	C₂×C₄×C₅	C₂⁵	1	2	yes	—
639	C₂×C₄×C₅	C₂⁵	1	4	yes	—
640	C₂×C₄×C₅	C₂⁵	1	2	yes	—
641	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
642	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
643	C₂×C₄×C₅	C₂⁵	1	2	yes	—
644	C₂×C₄×C₅	C₂⁵	1	4	yes	—
645	C₂×C₄×C₅	C₂⁵	1	2	yes	—
646	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
647	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
648	C₂²⋊D₅	—	2	16	no	—
649	C₂²⋊D₅	—	2	32	no	—
650	C₂²⋊D₅	—	2	16	no	—
651	C₂²⋊D₅	—	2	16	no	—
652	C₂²⋊D₅	—	4	16	no	—
653	C₂²⋊D₅	—	4	16	no	—
654	C₂×Dic₅	—	2	16	no	—
655	C₂×Dic₅	—	4	8	no	—
656	C₂×Dic₅	—	4	8	no	—
657	C₂×Dic₅	C₂⁵	1	8	yes	—
658	C₂×Dic₅	C₂⁵	1	8	yes	—
659	C₂×Dic₅	C₂⁵	1	8	yes	—
660	D₂₀	—	2	8	no	—
661	D₂₀	—	2	8	no	—
662	D₂₀	—	4	8	no	—
663	D₂₀	—	4	4	no	—
664	C₄×D₅	—	2	16	no	—
665	C₄×D₅	—	2	16	no	—
666	C₄×D₅	—	4	16	no	—
667	C₄×D₅	—	4	8	no	—
668	Dic₁₀	—	2	8	no	—
669	Dic₁₀	—	2	8	no	—
670	Dic₁₀	—	4	8	no	—
671	Dic₁₀	—	4	4	no	—
672	C₂⁵	C₂²×D₅	1	2	yes	—
673	H(5,𝔽₂)	—	10	16	no	—
674	C₂×#41	—	5	8	no	—
675	C₂×#41	—	5	4	no	—
676	C₂×#41	—	5	4	no	—
677	C₂×#41	—	5	4	no	—
678	C₂×#41	—	5	8	no	—
679	C₂×#41	—	5	8	no	—
680	C₂×#41	—	5	8	no	—
681	C₂×#41	—	20	16	no	—
682	C₂²×Q₈	—	5	4	no	—
683	C₂²×D₄	—	2	8	no	—
684	C₂²×D₄	—	5	8	no	—
685	C₂²×D₄	—	5	8	no	—
686	C₂²×D₄	—	5	8	no	—
687	C₂²×D₄	—	5	8	no	—
688	C₂²×D₄	—	5	4	no	—
689	C₂²×D₄	C₂²×D₅	1	2	yes	—
690	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
691	C₂²×D₄	C₂²×D₅	1	4	yes	—
692	C₂²×D₄	C₂²×D₅	1	4	yes	—
693	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
694	C₂³×C₄	—	4	8	no	—
695	C₂³×C₄	—	5	8	no	—
696	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
697	C₂³×C₄	C₂²×D₅	1	4	yes	—
698	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
699	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
700	C₂³×C₄	C₂²×D₅	1	2	yes	—
701	C₂³×C₄	C₂²×D₅	1	2	yes	—
702	C₂³×C₄	C₂²×D₅	1	4	yes	—
703	C₂³×C₄	C₂²×D₅	1	2	yes	—
704	C₂³×C₄	C₂²×D₅	1	4	yes	—
705	C₂³×C₄	C₂²×D₅	1	4	yes	—
706	C₂³×C₄	C₂²×D₅	1	2	yes	—
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	—	5	2	no	—
712	#127	—	5	8	no	—
713	#127	—	5	2	no	—
714	#126	—	5	16	no	—
715	#126	—	5	16	no	—
716	#126	—	5	16	no	—
717	#126	—	5	8	no	—
718	#126	—	5	8	no	—
719	#125	—	5	16	no	—
720	#125	—	5	8	no	—
721	#125	—	5	4	no	—
722	#125	—	5	4	no	—
723	#125	—	5	4	no	—
724	#124	—	5	8	no	—
725	#124	—	5	16	no	—
726	#124	—	5	16	no	—
727	#124	—	5	4	no	—
728	#124	—	5	4	no	—
729	#124	—	5	4	no	—
730	#123	—	5	16	no	—
731	#123	—	5	8	no	—
732	#123	—	5	16	no	—
733	#123	—	5	16	no	—
734	#123	—	5	16	no	—
735	#123	—	5	8	no	—
736	#123	—	5	8	no	—
737	#123	—	5	16	no	—
738	#123	—	5	16	no	—
739	#123	—	5	16	no	—
740	#123	—	5	16	no	—
741	C₂²⋊Q₈	—	5	4	no	—
742	C₂²⋊Q₈	—	5	4	no	—
743	C₂²⋊Q₈	—	5	8	no	—
744	C₂²⋊Q₈	—	5	8	no	—
745	C₂²⋊Q₈	—	5	8	no	—
746	C₂²⋊Q₈	—	5	8	no	—
747	C₂²⋊Q₈	—	5	8	no	—
748	C₂²⋊Q₈	—	5	8	no	—
749	C₂²⋊Q₈	—	5	4	no	—
750	C₂²⋊Q₈	—	5	4	no	—
751	C₂²⋊Q₈	—	5	4	no	—
752	C₂²⋊Q₈	—	5	4	no	—
753	C₂²⋊Q₈	—	5	16	no	—
754	C₂²⋊Q₈	—	5	8	no	—
755	C₂²⋊Q₈	—	5	16	no	—
756	C₂²⋊Q₈	—	5	16	no	—
757	#121	—	5	16	no	—
758	#121	—	5	16	no	—
759	#121	—	5	8	no	—
760	#121	—	5	8	no	—
761	#121	—	5	4	no	—
762	#121	—	5	4	no	—
763	#121	—	5	8	no	—
764	#121	—	5	8	no	—
765	#121	—	5	8	no	—
766	#121	—	5	8	no	—
767	#121	—	5	8	no	—
768	#121	—	5	8	no	—
769	#121	—	5	4	no	—
770	#121	—	5	4	no	—
771	#121	—	5	4	no	—
772	#121	—	5	4	no	—
773	#121	—	5	8	no	—
774	#121	—	5	16	no	—
775	#121	—	5	16	no	—
776	#120	—	5	8	no	—
777	#120	—	5	16	no	—
778	#120	—	5	16	no	—
779	#120	—	5	16	no	—
780	#120	—	5	16	no	—
781	#120	—	5	16	no	—
782	C₄×Q₈	—	5	8	no	—
783	C₄×Q₈	—	5	4	no	—
784	C₄×Q₈	—	5	4	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	8	no	—
790	C₄×D₄	—	5	8	no	—
791	C₄×D₄	—	5	8	no	—
792	C₄×D₄	—	5	8	no	—
793	C₄×D₄	—	5	16	no	—
794	C₄×D₄	—	5	16	no	—
795	C₄×D₄	—	5	16	no	—
796	C₄×D₄	—	5	16	no	—
797	C₄×D₄	—	5	16	no	—
798	C₄×D₄	—	5	16	no	—
799	C₄×D₄	—	5	8	no	—
800	C₄×D₄	—	5	8	no	—
801	C₄×D₄	—	5	8	no	—
802	C₄×D₄	—	5	8	no	—
803	C₄×D₄	—	5	8	no	—
804	C₄×D₄	—	5	16	no	—
805	C₄×D₄	—	5	16	no	—
806	C₄×D₄	—	5	4	no	—
807	C₄×D₄	—	5	4	no	—
808	C₄×D₄	—	5	4	no	—
809	C₄×D₄	—	5	4	no	—
810	C₄×D₄	—	5	4	no	—
811	C₄×D₄	—	5	4	no	—
812	C₄×D₄	C₂²×D₅	1	4	yes	—
813	C₄×D₄	C₂²×D₅	1	4	yes	—
814	C₄×D₄	C₂²×D₅	1	4	yes	—
815	C₄×D₄	C₂²×D₅	1	4	yes	—
816	C₄×D₄	C₂²×D₅	1	8	yes	—
817	C₄×D₄	C₂²×D₅	1	4	yes	—
818	C₄×D₄	C₂²×D₅	1	8	yes	—
819	C₄×D₄	C₂²×D₅	1	4	yes	—
820	C₄×D₄	C₂²×D₅	1	8	yes	—
821	C₄×D₄	C₂²×D₅	1	4	yes	—
822	C₄×D₄	C₂²×D₅	1	8	yes	—
823	C₄×D₄	C₂²×D₅	1	4	yes	—
824	#117	—	5	4	no	—
825	#117	—	5	8	no	—
826	#117	—	5	8	no	—
827	#117	—	5	8	no	—
828	#117	—	5	4	no	—
829	#117	—	5	4	no	—
830	#117	—	5	8	no	—
831	#117	—	5	16	no	—
832	#117	—	5	8	no	—
833	#117	—	5	8	no	—
834	#117	—	5	8	no	—
835	C₂×C₄⋊C₄	—	5	4	no	—
836	C₂×C₄⋊C₄	—	5	4	no	—
837	C₂×C₄⋊C₄	—	5	8	no	—
838	C₂×C₄⋊C₄	—	5	8	no	—
839	C₂×C₄⋊C₄	—	5	8	no	—
840	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
841	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
842	C₂×C₄⋊C₄	C₂²×D₅	1	2	yes	—
843	C₂×C₄⋊C₄	C₂²×D₅	1	4	yes	—
844	C₂×C₄⋊C₄	C₂²×D₅	1	4	yes	—
845	C₂×C₂²⋊C₄	—	5	8	no	—
846	C₂×C₂²⋊C₄	—	5	8	no	—
847	C₂×C₂²⋊C₄	—	5	8	no	—
848	C₂×C₂²⋊C₄	—	5	8	no	—
849	C₂×C₂²⋊C₄	—	5	8	no	—
850	C₂×C₂²⋊C₄	—	5	16	no	—
851	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
852	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
853	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
854	C₂×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
855	C₂×C₂²⋊C₄	C₂²×D₅	1	8	yes	—
856	C₂×C₂²⋊C₄	C₂²×D₅	1	8	yes	—
857	C₂×C₄²	—	5	8	no	—
858	C₂×C₄²	—	5	8	no	—
859	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
860	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
861	C₂×C₄²	C₂²×D₅	1	2	yes	—
862	C₂×C₄²	C₂²×D₅	1	2	yes	—
863	C₂×C₄²	C₂²×D₅	1	2	yes	—
864	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
865	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
866	C₂×C₄²	C₂²×D₅	1	2	yes	—
867	C₂²×C₅	—	2	8	no	—
868	C₂²×C₅	—	2	1	no	—
869	C₂²×C₅	—	2	1	no	—
870	C₂²×C₅	—	2	4	no	—
871	C₂²×C₅	—	2	1	no	—
872	C₂²×C₅	—	2	1	no	—
873	C₂²×C₅	—	2	4	no	—
874	C₂²×C₅	—	2	1	no	—
875	C₂²×C₅	—	2	1	no	—
876	C₂²×C₅	—	2	4	no	—
877	C₂²×C₅	—	2	4	no	—
878	C₂²×C₅	—	2	4	no	—
879	C₂²×C₅	—	4	8	no	—
880	C₂²×C₅	—	4	16	no	—
881	C₂²×C₅	—	4	16	no	—
882	C₂²×C₅	—	4	8	no	—
883	C₂²×C₅	C₂²×#41	1	8	yes	—
884	C₂²×C₅	C₂²×#41	1	2	yes	—
885	C₂²×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
886	C₂²×C₅	#585	1	2	yes	—
887	C₂²×C₅	C₂⁶	1	1	yes	characteristic
888	C₂×D₅	—	2	8	no	—
889	C₂×D₅	—	2	8	no	—
890	C₂×D₅	—	2	8	no	—
891	C₂×D₅	—	8	16	no	—
892	C₄×C₅	—	2	2	no	—
893	C₄×C₅	—	2	4	no	—
894	C₄×C₅	—	2	4	no	—
895	C₄×C₅	—	2	1	no	—
896	C₄×C₅	—	2	1	no	—
897	C₄×C₅	—	2	2	no	—
898	C₄×C₅	—	2	2	no	—
899	C₄×C₅	C₂²×#41	1	4	yes	—
900	C₄×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
901	C₄×C₅	C₂×H(5,𝔽₂)	1	2	yes	—
902	Dic₅	—	2	8	no	—
903	Dic₅	—	2	8	no	—
904	Dic₅	—	2	8	no	—
905	C₂⁴	—	2	8	no	—
906	C₂⁴	—	4	4	no	—
907	C₂⁴	—	4	4	no	—
908	C₂⁴	—	5	8	no	—
909	C₂⁴	C₂³×D₅	1	1	yes	characteristic
910	C₂⁴	C₂³×D₅	1	4	yes	—
911	C₂⁴	C₂³×D₅	1	4	yes	—
912	C₂⁴	C₂³×D₅	1	2	yes	—
913	C₂⁴	C₂³×D₅	1	2	yes	—
914	#41	—	10	32	no	—
915	#41	—	10	16	no	—
916	#41	—	10	16	no	—
917	#41	—	20	16	no	—
918	#41	—	20	16	no	—
919	#41	—	20	8	no	—
920	#41	—	20	16	no	—
921	C₂×Q₈	—	5	4	no	—
922	C₂×Q₈	—	5	4	no	—
923	C₂×Q₈	—	5	4	no	—
924	C₂×Q₈	—	5	8	no	—
925	C₂×Q₈	—	20	8	no	—
926	C₂×D₄	—	2	8	no	—
927	C₂×D₄	—	2	16	no	—
928	C₂×D₄	—	2	16	no	—
929	C₂×D₄	—	2	4	no	—
930	C₂×D₄	—	5	8	no	—
931	C₂×D₄	—	5	16	no	—
932	C₂×D₄	—	5	8	no	—
933	C₂×D₄	—	5	8	no	—
934	C₂×D₄	—	5	16	no	—
935	C₂×D₄	—	5	16	no	—
936	C₂×D₄	—	5	4	no	—
937	C₂×D₄	—	5	4	no	—
938	C₂×D₄	—	5	4	no	—
939	C₂×D₄	—	5	8	no	—
940	C₂×D₄	—	10	32	no	—
941	C₂×D₄	—	10	32	no	—
942	C₂×D₄	—	20	8	no	—
943	C₂×D₄	—	20	16	no	—
944	C₂×D₄	—	20	16	no	—
945	C₂×D₄	#709	1	8	yes	complemented
946	C₂×D₄	C₂³×D₅	1	8	yes	—
947	C₂×D₄	C₂³×D₅	1	4	yes	—
948	C₂×D₄	C₂³×D₅	1	4	yes	—
949	C₂²×C₄	—	2	4	no	—
950	C₂²×C₄	—	2	4	no	—
951	C₂²×C₄	—	2	16	no	—
952	C₂²×C₄	—	4	4	no	—
953	C₂²×C₄	—	4	8	no	—
954	C₂²×C₄	—	4	4	no	—
955	C₂²×C₄	—	4	8	no	—
956	C₂²×C₄	—	4	4	no	—
957	C₂²×C₄	—	4	4	no	—
958	C₂²×C₄	—	4	8	no	—
959	C₂²×C₄	—	4	4	no	—
960	C₂²×C₄	—	4	2	no	—
961	C₂²×C₄	—	5	8	no	—
962	C₂²×C₄	—	5	8	no	—
963	C₂²×C₄	—	5	8	no	—
964	C₂²×C₄	—	5	8	no	—
965	C₂²×C₄	—	5	8	no	—
966	C₂²×C₄	—	5	8	no	—
967	C₂²×C₄	—	5	16	no	—
968	C₂²×C₄	—	20	16	no	—
969	C₂²×C₄	C₂³×D₅	1	2	yes	—
970	C₂²×C₄	C₂³×D₅	1	2	yes	—
971	C₂²×C₄	C₂³×D₅	1	2	yes	—
972	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
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	4	yes	—
977	C₂²×C₄	C₂³×D₅	1	4	yes	—
978	C₂²×C₄	C₂³×D₅	1	4	yes	—
979	C₂²×C₄	C₂³×D₅	1	4	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	4	yes	—
983	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
984	C₂²×C₄	C₂³×D₅	1	2	yes	—
985	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
986	C₂²×C₄	C₂³×D₅	1	4	yes	—
987	C₂²×C₄	C₂³×D₅	1	4	yes	—
988	C₂²×C₄	C₂³×D₅	1	2	yes	—
989	C₂²×C₄	C₂³×D₅	1	4	yes	—
990	C₂²×C₄	C₂³×D₅	1	2	yes	—
991	C₂²×C₄	C₂³×D₅	1	4	yes	—
992	C₂²×C₄	C₂³×D₅	1	4	yes	—
993	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
994	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
995	C₄⋊C₄	—	5	4	no	—
996	C₄⋊C₄	—	5	4	no	—
997	C₄⋊C₄	—	5	4	no	—
998	C₄⋊C₄	—	5	16	no	—
999	C₄⋊C₄	—	5	8	no	—
1000	C₄⋊C₄	—	5	8	no	—
1001	C₄⋊C₄	—	5	8	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	—	5	4	no	—
1011	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1012	C₄⋊C₄	C₂³×D₅	1	4	yes	—
1013	C₄⋊C₄	C₂³×D₅	1	8	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	16	no	—
1020	C₂²⋊C₄	—	5	16	no	—
1021	C₂²⋊C₄	—	5	8	no	—
1022	C₂²⋊C₄	—	5	8	no	—
1023	C₂²⋊C₄	—	5	8	no	—
1024	C₂²⋊C₄	—	5	16	no	—
1025	C₂²⋊C₄	—	5	8	no	—
1026	C₂²⋊C₄	—	5	8	no	—
1027	C₂²⋊C₄	—	5	8	no	—
1028	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1029	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1030	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1031	C₂²⋊C₄	C₂³×D₅	1	8	yes	—
1032	C₄²	—	5	16	no	—
1033	C₄²	—	5	8	no	—
1034	C₄²	—	5	8	no	—
1035	C₄²	—	5	8	no	—
1036	C₄²	C₂³×D₅	1	2	yes	—
1037	C₄²	C₂³×D₅	1	2	yes	—
1038	C₄²	C₂³×D₅	1	2	yes	—
1039	C₄²	C₂³×D₅	1	2	yes	—
1040	C₄²	C₂³×D₅	1	2	yes	—
1041	C₄²	C₂³×D₅	1	2	yes	—
1042	C₄²	C₂³×D₅	1	2	yes	—
1043	C₄²	C₂³×D₅	1	2	yes	—
1044	C₂×C₅	—	2	8	no	—
1045	C₂×C₅	—	2	2	no	—
1046	C₂×C₅	—	2	2	no	—
1047	C₂×C₅	—	2	2	no	—
1048	C₂×C₅	—	4	4	no	—
1049	C₂×C₅	C₂³×#41	1	1	yes	characteristic
1050	C₂×C₅	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1051	C₂×C₅	C₂×#585	1	1	yes	characteristic
1052	D₅	—	4	8	no	—
1053	C₂³	—	2	2	no	—
1054	C₂³	—	2	2	no	—
1055	C₂³	—	2	2	no	—
1056	C₂³	—	2	8	no	—
1057	C₂³	—	2	8	no	—
1058	C₂³	—	2	4	no	—
1059	C₂³	—	2	8	no	—
1060	C₂³	—	2	8	no	—
1061	C₂³	—	4	2	no	—
1062	C₂³	—	4	4	no	—
1063	C₂³	—	4	2	no	—
1064	C₂³	—	4	2	no	—
1065	C₂³	—	4	4	no	—
1066	C₂³	—	4	2	no	—
1067	C₂³	—	4	32	no	—
1068	C₂³	—	5	8	no	—
1069	C₂³	—	10	16	no	—
1070	C₂³	—	20	8	no	—
1071	C₂³	—	20	8	no	—
1072	C₂³	C₂×#709	1	8	yes	complemented
1073	C₂³	C₂⁴×D₅	1	4	yes	—
1074	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1075	C₂³	C₂⁴×D₅	1	4	yes	—
1076	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1077	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1078	Q₈	—	10	8	no	—
1079	Q₈	—	10	8	no	—
1080	Q₈	—	20	8	no	—
1081	Q₈	—	20	4	no	—
1082	D₄	—	2	16	no	—
1083	D₄	—	2	8	no	—
1084	D₄	—	10	16	no	—
1085	D₄	—	10	32	no	—
1086	D₄	—	10	16	no	—
1087	D₄	—	10	16	no	—
1088	D₄	—	10	8	no	—
1089	D₄	—	10	8	no	—
1090	D₄	—	20	8	no	—
1091	D₄	—	20	4	no	—
1092	D₄	—	20	16	no	—
1093	D₄	—	20	16	no	—
1094	D₄	C₂×#709	1	16	yes	complemented
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	2	8	no	—
1098	C₂×C₄	—	2	4	no	—
1099	C₂×C₄	—	2	4	no	—
1100	C₂×C₄	—	2	4	no	—
1101	C₂×C₄	—	2	2	no	—
1102	C₂×C₄	—	2	2	no	—
1103	C₂×C₄	—	2	2	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	8	no	—
1106	C₂×C₄	—	2	8	no	—
1107	C₂×C₄	—	2	8	no	—
1108	C₂×C₄	—	2	8	no	—
1109	C₂×C₄	—	4	4	no	—
1110	C₂×C₄	—	4	4	no	—
1111	C₂×C₄	—	4	4	no	—
1112	C₂×C₄	—	4	4	no	—
1113	C₂×C₄	—	4	2	no	—
1114	C₂×C₄	—	4	4	no	—
1115	C₂×C₄	—	4	2	no	—
1116	C₂×C₄	—	4	1	no	—
1117	C₂×C₄	—	4	2	no	—
1118	C₂×C₄	—	4	1	no	—
1119	C₂×C₄	—	5	8	no	—
1120	C₂×C₄	—	5	8	no	—
1121	C₂×C₄	—	5	8	no	—
1122	C₂×C₄	—	10	16	no	—
1123	C₂×C₄	—	10	16	no	—
1124	C₂×C₄	—	10	16	no	—
1125	C₂×C₄	—	20	16	no	—
1126	C₂×C₄	—	20	8	no	—
1127	C₂×C₄	—	20	8	no	—
1128	C₂×C₄	—	20	8	no	—
1129	C₂×C₄	C₂×#709	1	4	yes	complemented
1130	C₂×C₄	#4144	1	4	yes	complemented
1131	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1132	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1133	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1134	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1135	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1136	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1137	C₂×C₄	C₂⁴×D₅	1	4	yes	—
1138	C₂×C₄	C₂⁴×D₅	1	2	yes	—
1139	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1140	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1141	C₅	#62773	1	1	yes	characteristic, complemented, Sylow
1142	C₂²	—	2	8	no	—
1143	C₂²	—	2	1	no	—
1144	C₂²	—	2	1	no	—
1145	C₂²	—	2	1	no	—
1146	C₂²	—	2	1	no	—
1147	C₂²	—	2	4	no	—
1148	C₂²	—	2	1	no	—
1149	C₂²	—	2	1	no	—
1150	C₂²	—	2	4	no	—
1151	C₂²	—	2	4	no	—
1152	C₂²	—	2	4	no	—
1153	C₂²	—	2	4	no	—
1154	C₂²	—	4	8	no	—
1155	C₂²	—	4	16	no	—
1156	C₂²	—	4	16	no	—
1157	C₂²	—	4	8	no	—
1158	C₂²	—	10	8	no	—
1159	C₂²	—	10	8	no	—
1160	C₂²	—	10	8	no	—
1161	C₂²	—	40	16	no	—
1162	C₂²	C₂²×#709	1	2	yes	—
1163	C₂²	C₂²×#709	1	8	yes	—
1164	C₂²	C₂×#4144	1	2	yes	—
1165	C₂²	#66283	1	2	yes	—
1166	C₂²	C₂⁵×D₅	1	1	yes	characteristic
1167	C₄	—	2	2	no	—
1168	C₄	—	2	1	no	—
1169	C₄	—	2	1	no	—
1170	C₄	—	2	4	no	—
1171	C₄	—	2	4	no	—
1172	C₄	—	2	2	no	—
1173	C₄	—	2	2	no	—
1174	C₄	—	10	8	no	—
1175	C₄	—	10	8	no	—
1176	C₄	—	10	8	no	—
1177	C₄	C₂²×#709	1	4	yes	—
1178	C₄	C₂×#4144	1	2	yes	—
1179	C₄	C₂×#4144	1	2	yes	—
1180	C₂	—	2	2	no	—
1181	C₂	—	2	2	no	—
1182	C₂	—	2	2	no	—
1183	C₂	—	2	8	no	—
1184	C₂	—	4	4	no	—
1185	C₂	—	20	8	no	—
1186	C₂	C₂³×#709	1	1	yes	characteristic
1187	C₂	C₂²×#4144	1	1	yes	characteristic
1188	C₂	C₂×#66283	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₅
commutator, socle, cosocle	C₂²×C₅	C₂⁶
Frattini	C₂²	C₂⁵×D₅
Fitting	C₂²×C₄×C₅×D₄	C₂
hypercenter	C₂²×C₄×D₄	D₅
hypocenter	C₅	#62773
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₄ ◁ C₂²×C₄×D₄

Complements

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

N	H ≅ G/N	type
1. C₂²×C₄×C₅×D₄	C₂	semidirect
2. #10619140	C₂	semidirect
3. C₂×#66125	C₂	semidirect
4. #10617691	C₂	semidirect
5. #10617690	C₂	semidirect
6. #10617689	C₂	semidirect
7. #10617688	C₂	semidirect
8. #10617687	C₂	semidirect
9. #10617686	C₂	semidirect
10. D₄×#709	C₂	semidirect
11. #10617678	C₂	semidirect
12. #10617677	C₂	semidirect
13. #10617668	C₂	semidirect
14. #10617667	C₂	semidirect
15. #10617665	C₂	semidirect
16. C₄×#4144	C₂	semidirect
17. #10617619	C₂	semidirect
18. #10617598	C₂	semidirect
19. #10617581	C₂	semidirect
21. C₂⁴×C₄×C₅	C₂²	semidirect
23. C₂²×#709	C₂²	semidirect
26. C₂×C₄×C₅×D₄	C₂²	semidirect
27. C₂×C₄×C₅×D₄	C₂²	semidirect
28. C₂×C₄×C₅×D₄	C₂²	semidirect
29. C₂×C₄×C₅×D₄	C₂²	semidirect
30. C₂×C₄×C₅×D₄	C₂²	semidirect
31. C₂×C₄×C₅×D₄	C₂²	semidirect
32. C₂×C₄×C₅×D₄	C₂²	semidirect
33. C₂×C₄×C₅×D₄	C₂²	semidirect
34. C₂²×C₅×C₄⋊C₄	C₂²	semidirect
35. C₂²×C₅×C₂²⋊C₄	C₂²	semidirect
36. C₂²×C₄²×C₅	C₂²	semidirect
37. C₂×#4099	C₂²	semidirect
38. #66140	C₂²	semidirect
39. #66140	C₂²	semidirect
40. #66139	C₂²	semidirect
41. #66138	C₂²	semidirect
42. D₄×C₂²⋊D₅	C₂²	semidirect
43. D₄×C₂²⋊D₅	C₂²	semidirect
45. #66125	C₂²	semidirect
46. #66125	C₂²	semidirect
47. #66125	C₂²	semidirect
48. #66125	C₂²	semidirect
49. #66125	C₂²	semidirect
50. #66125	C₂²	semidirect
51. #66125	C₂²	semidirect
52. #66125	C₂²	semidirect
53. #66125	C₂²	semidirect
54. #66125	C₂²	semidirect
55. C₂×#4076	C₂²	semidirect
56. C₂×#4076	C₂²	semidirect
57. C₂×#4075	C₂²	semidirect
58. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
59. C₂×C₄×C₂²⋊D₅	C₂²	semidirect
60. C₂×#4072	C₂²	semidirect
61. C₂×#4070	C₂²	semidirect
62. C₂×#4070	C₂²	semidirect
63. #65899	C₂²	semidirect
64. #65898	C₂²	semidirect
65. #65897	C₂²	semidirect
66. #65896	C₂²	semidirect
67. #65895	C₂²	semidirect
68. #65894	C₂²	semidirect
69. #65893	C₂²	semidirect
70. #65892	C₂²	semidirect
71. #65891	C₂²	semidirect
72. #65890	C₂²	semidirect
73. #65889	C₂²	semidirect
74. #65888	C₂²	semidirect
75. #65887	C₂²	semidirect
76. #65886	C₂²	semidirect
77. #65885	C₂²	semidirect
78. #65884	C₂²	semidirect
79. D₄×D₂₀	C₂²	semidirect
80. #65882	C₂²	semidirect
81. #65881	C₂²	semidirect
82. #65880	C₂²	semidirect
83. #65879	C₂²	semidirect
84. C₄×D₄×D₅	C₂²	semidirect
85. #65877	C₂²	semidirect
86. #65876	C₂²	semidirect
87. #65875	C₂²	semidirect
88. #65874	C₂²	semidirect
89. #65873	C₂²	semidirect
90. #65872	C₂²	semidirect
91. D₄×Dic₁₀	C₂²	semidirect
92. C₄×#711	C₂²	semidirect
93. #65849	C₂²	semidirect
94. #65848	C₂²	semidirect
95. #65847	C₂²	semidirect
96. #65845	C₂²	semidirect
97. #65844	C₂²	semidirect
98. #65841	C₂²	semidirect
99. #65838	C₂²	semidirect
100. #65834	C₂²	semidirect
101. #65829	C₂²	semidirect
102. #65829	C₂²	semidirect
103. #65828	C₂²	semidirect
104. #65828	C₂²	semidirect
105. #65827	C₂²	semidirect
106. #65824	C₂²	semidirect
107. #65824	C₂²	semidirect
108. #65820	C₂²	semidirect
109. #65817	C₂²	semidirect
110. #65813	C₂²	semidirect
111. #65813	C₂²	semidirect
112. #65813	C₂²	semidirect
113. #65813	C₂²	semidirect
114. #65813	C₂²	semidirect
115. #65813	C₂²	semidirect
116. #65811	C₂²	semidirect
117. #65811	C₂²	semidirect
118. #65811	C₂²	semidirect
119. C₄×#709	C₂²	semidirect
120. C₄×#709	C₂²	semidirect
121. C₄×#709	C₂²	semidirect
122. #65804	C₂²	semidirect
123. #65804	C₂²	semidirect
124. #65804	C₂²	semidirect
157. C₂×#709	C₂³	semidirect
158. C₂×#709	C₂³	semidirect
159. C₂²×D₂₀	C₂³	semidirect
160. C₂²×C₄×D₅	C₂³	semidirect
161. C₂²×Dic₁₀	C₂³	semidirect
218. #4076	C₂³	semidirect
219. #4076	C₂³	semidirect
220. #4076	C₂³	semidirect
221. #4076	C₂³	semidirect
226. #4075	C₂³	semidirect
227. #4075	C₂³	semidirect
236. C₄×C₂²⋊D₅	C₂³	semidirect
237. C₄×C₂²⋊D₅	C₂³	semidirect
238. C₄×C₂²⋊D₅	C₂³	semidirect
239. C₄×C₂²⋊D₅	C₂³	semidirect
240. C₂×#685	C₂³	semidirect
241. C₂×#685	C₂³	semidirect
246. #4072	C₂³	semidirect
247. #4072	C₂³	semidirect
248. C₂×C₄⋊Dic₅	C₂³	semidirect
249. C₂×C₄⋊Dic₅	C₂³	semidirect
258. #4070	C₂³	semidirect
259. #4070	C₂³	semidirect
260. #4070	C₂³	semidirect
261. #4070	C₂³	semidirect
262. C₂×#683	C₂³	semidirect
263. C₂×#683	C₂³	semidirect
264. C₂×C₄×Dic₅	C₂³	semidirect
265. #4044	C₂³	semidirect
266. #4043	C₂³	semidirect
267. #4042	C₂³	semidirect
268. #4041	C₂³	semidirect
269. #4040	C₂³	semidirect
270. #4039	C₂³	semidirect
271. #4038	C₂³	semidirect
272. D₅×C₄⋊C₄	C₂³	semidirect
273. #4036	C₂³	semidirect
274. #4035	C₂³	semidirect
275. #4034	C₂³	semidirect
276. #4033	C₂³	semidirect
277. #4032	C₂³	semidirect
278. #4031	C₂³	semidirect
279. #4031	C₂³	semidirect
280. #4030	C₂³	semidirect
281. #4030	C₂³	semidirect
282. #4029	C₂³	semidirect
283. #4029	C₂³	semidirect
284. #4028	C₂³	semidirect
285. #4027	C₂³	semidirect
286. #4027	C₂³	semidirect
287. D₅×C₂²⋊C₄	C₂³	semidirect
288. #4025	C₂³	semidirect
289. #4025	C₂³	semidirect
290. #4024	C₂³	semidirect
291. #4024	C₂³	semidirect
292. #4023	C₂³	semidirect
293. #4022	C₂³	semidirect
294. #4022	C₂³	semidirect
295. #4021	C₂³	semidirect
296. #4021	C₂³	semidirect
297. #4021	C₂³	semidirect
298. #4020	C₂³	semidirect
299. C₄×D₂₀	C₂³	semidirect
300. C₄×D₂₀	C₂³	semidirect
301. C₄×D₂₀	C₂³	semidirect
302. C₄×D₂₀	C₂³	semidirect
303. C₄×D₂₀	C₂³	semidirect
304. C₄×D₂₀	C₂³	semidirect
305. #4018	C₂³	semidirect
306. #4018	C₂³	semidirect
307. #4018	C₂³	semidirect
308. C₄²×D₅	C₂³	semidirect
309. #4016	C₂³	semidirect
310. #4016	C₂³	semidirect
311. #4016	C₂³	semidirect
312. #4015	C₂³	semidirect
313. #4015	C₂³	semidirect
314. #4015	C₂³	semidirect
315. C₄×Dic₁₀	C₂³	semidirect
316. C₄×Dic₁₀	C₂³	semidirect
317. C₄×Dic₁₀	C₂³	semidirect
318. C₄×Dic₁₀	C₂³	semidirect
319. C₄×Dic₁₀	C₂³	semidirect
320. C₄×Dic₁₀	C₂³	semidirect
339. C₂²×C₄×D₄	D₅	semidirect
353. C₂×C₅×D₄	#41	semidirect
482. C₂⁴×C₄	C₂×D₅	semidirect
572. C₂×C₄×D₄	C₂×D₅	semidirect
573. C₂×C₄×D₄	C₂×D₅	semidirect
574. C₂×C₄×D₄	C₂×D₅	semidirect
575. C₂×C₄×D₄	C₂×D₅	semidirect
576. C₂×C₄×D₄	C₂×D₅	semidirect
577. C₂×C₄×D₄	C₂×D₅	semidirect
578. C₂×C₄×D₄	C₂×D₅	semidirect
579. C₂×C₄×D₄	C₂×D₅	semidirect
581. C₂²×C₄⋊C₄	C₂×D₅	semidirect
582. C₂²×C₂²⋊C₄	C₂×D₅	semidirect
583. C₂²×C₄²	C₂×D₅	semidirect
599. C₂³×C₅	C₂×#41	semidirect
611. C₅×D₄	C₂×#41	semidirect
636. C₂×C₄×C₅	C₂×#41	semidirect
637. C₂×C₄×C₅	H(5,𝔽₂)	semidirect
945. C₂×D₄	#709	semidirect
1072. C₂³	C₂×#709	semidirect
1094. D₄	C₂×#709	semidirect
1129. C₂×C₄	C₂×#709	semidirect
1130. C₂×C₄	#4144	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
C₂²×C₄×C₅×D₄	2
#10619140	2
C₂×#66125	2
#10617691	2
#10617690	2
#10617689	2
#10617688	2
#10617687	2
#10617686	2
D₄×#709	2
#10617678	2
#10617677	2
#10617668	2
#10617667	2
#10617665	2
C₄×#4144	2
#10617619	2
#10617598	2
#10617581	2
#62773	5