Subgroups — C₅×#34290 #11957010

Order 1280.

3960 conjugacy classes of subgroups.

The subgroup lattice has 1278 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×D₄²	C₂	1	1	yes	maximal, characteristic
2	C₂×C₅×#518	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×C₄×C₅×D₄	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#2366	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#2364	C₂	1	2	yes	maximal, complemented
6	C₅×#2363	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅×#2361	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅×#2358	C₂	1	2	yes	maximal, complemented
9	C₅×#2358	C₂	1	2	yes	maximal, complemented
10	C₅×#2352	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅×#2349	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×D₄×C₂²⋊C₄	C₂	1	2	yes	maximal, complemented
13	C₅×D₄×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×D₄×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×#2328	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#2325	C₂	1	2	yes	maximal, complemented
17	C₅×#2324	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅×#2321	C₂	1	2	yes	maximal, complemented
19	C₄×C₅×#121	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×C₅×#120	C₂	1	2	yes	maximal, complemented
21	C₅×#2290	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₅×#386	C₂	1	2	yes	maximal, complemented
23	C₅×#2275	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂³×C₅×D₄	C₂²	1	1	yes	characteristic
25	C₂³×C₅×D₄	C₂²	1	1	yes	characteristic
26	C₂³×C₅×D₄	C₂²	1	2	yes	—
27	C₂⁴×C₄×C₅	C₂²	1	2	yes	complemented
28	C₅×D₄²	C₄	1	16	yes	complemented
29	C₂×C₅×#127	C₂²	1	1	yes	characteristic
30	C₂×C₅×#121	C₂²	1	1	yes	characteristic
31	C₂×C₅×#121	C₂²	1	1	yes	characteristic
32	C₂×C₅×#121	C₂²	1	2	yes	—
33	C₂×C₅×#120	C₂²	1	2	yes	—
34	C₂×C₅×#120	C₂²	1	2	yes	—
35	C₅×#518	—	2	8	no	—
36	C₂×C₄×C₅×D₄	—	2	8	no	—
37	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
38	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
39	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
40	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
41	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
42	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
43	C₂×C₄×C₅×D₄	C₂²	1	2	yes	complemented
44	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₄×C₅×D₄	C₂²	1	2	yes	complemented
46	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₄×C₅×D₄	C₂²	1	2	yes	complemented
48	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₄×C₅×D₄	C₂²	1	2	yes	complemented
50	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₄×C₅×D₄	C₂²	1	2	yes	complemented
52	C₂×C₄×C₅×D₄	C₂²	1	2	yes	complemented
53	C₂×C₄×C₅×D₄	C₂²	1	2	yes	complemented
54	C₂×C₅×#117	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₅×#117	C₂²	1	1	yes	characteristic, complemented
56	C₂²×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
57	C₂²×C₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
58	C₂²×C₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
59	C₂²×C₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
60	C₂²×C₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
61	C₂²×C₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
62	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic, complemented
63	C₅×#390	C₂²	1	1	yes	characteristic, complemented
64	C₅×#390	C₂²	1	2	yes	complemented
65	C₅×#390	C₂²	1	2	yes	complemented
66	C₅×#390	C₂²	1	2	yes	complemented
67	C₅×#390	C₂²	1	1	yes	characteristic, complemented
68	C₅×#390	C₂²	1	1	yes	characteristic, complemented
69	C₅×#390	C₂²	1	1	yes	characteristic, complemented
70	C₅×#389	C₂²	1	1	yes	characteristic, complemented
71	C₅×#389	C₂²	1	1	yes	characteristic, complemented
72	C₅×#388	C₂²	1	1	yes	characteristic, complemented
73	C₅×#388	C₂²	1	1	yes	characteristic, complemented
74	C₅×#388	C₂²	1	2	yes	complemented
75	C₅×#388	C₂²	1	2	yes	complemented
76	C₅×#388	C₂²	1	2	yes	complemented
77	C₅×#388	C₂²	1	2	yes	complemented
78	C₅×#388	C₂²	1	2	yes	complemented
79	C₅×#387	C₂²	1	1	yes	characteristic, complemented
80	C₅×#387	C₂²	1	1	yes	characteristic, complemented
81	C₅×#387	C₂²	1	2	yes	complemented
82	C₅×#386	C₂²	1	1	yes	characteristic
83	C₅×#386	C₂²	1	2	yes	—
84	C₅×#386	C₂²	1	1	yes	characteristic
85	C₅×#386	C₂²	1	2	yes	complemented
86	C₅×#386	C₂²	1	2	yes	complemented
87	C₅×#386	C₂²	1	2	yes	complemented
88	C₅×#386	C₂²	1	2	yes	complemented
89	C₅×#386	C₂²	1	2	yes	complemented
90	C₅×#386	C₂²	1	2	yes	complemented
91	C₅×#386	C₂²	1	2	yes	complemented
92	C₅×#386	C₂²	1	2	yes	complemented
93	C₅×#386	C₂²	1	2	yes	complemented
94	C₅×#386	C₂²	1	2	yes	complemented
95	C₅×#386	C₂²	1	2	yes	complemented
96	C₅×#386	C₂²	1	2	yes	complemented
97	C₅×#386	C₂²	1	2	yes	complemented
98	C₅×#386	C₂²	1	2	yes	complemented
99	C₅×#385	C₂²	1	1	yes	characteristic, complemented
100	C₅×#385	C₂²	1	1	yes	characteristic, complemented
101	C₅×#385	C₂²	1	2	yes	complemented
102	C₅×#385	C₂²	1	2	yes	complemented
103	C₅×#385	C₂²	1	2	yes	complemented
104	C₅×#385	C₂²	1	2	yes	complemented
105	C₅×#382	C₂²	1	1	yes	characteristic, complemented
106	C₅×#380	C₂²	1	1	yes	characteristic, complemented
107	C₅×#380	C₂²	1	1	yes	characteristic, complemented
108	C₅×#380	C₂²	1	2	yes	complemented
109	C₅×#379	C₂²	1	2	yes	complemented
110	C₅×#379	C₂²	1	2	yes	complemented
111	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
112	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
113	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
114	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
115	C₄×C₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
116	C₄×C₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
117	C₄×C₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
118	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
119	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
120	C₄×C₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
121	C₄×C₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
122	C₄×C₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
123	C₅×#376	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₅×#95	C₂²	1	2	yes	complemented
125	C₂×C₅×#95	C₂²	1	2	yes	complemented
126	#34290	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
127	C₂⁵×C₅	C₂³	1	2	yes	—
128	C₂⁵×C₅	C₂³	1	2	yes	—
129	C₂²×C₅×D₄	—	2	4	no	—
130	C₂²×C₅×D₄	—	2	4	no	—
131	C₂²×C₅×D₄	—	2	4	no	—
132	C₂²×C₅×D₄	—	2	4	no	—
133	C₂²×C₅×D₄	—	4	4	no	—
134	C₂²×C₅×D₄	—	4	4	no	—
135	C₂²×C₅×D₄	C₂×C₄	1	8	yes	complemented
136	C₂²×C₅×D₄	C₂×C₄	1	8	yes	complemented
137	C₂²×C₅×D₄	C₂×C₄	1	16	yes	complemented
138	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
139	C₂²×C₅×D₄	C₂³	1	2	yes	—
140	C₂²×C₅×D₄	C₂³	1	2	yes	—
141	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
142	C₂²×C₅×D₄	C₂³	1	2	yes	—
143	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
144	C₂²×C₅×D₄	C₂³	1	2	yes	—
145	C₂²×C₅×D₄	C₂³	1	2	yes	—
146	C₂²×C₅×D₄	C₂³	1	2	yes	—
147	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
148	C₂³×C₄×C₅	—	2	8	no	—
149	C₂³×C₄×C₅	—	4	4	no	—
150	C₂³×C₄×C₅	—	4	4	no	—
151	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
152	C₂³×C₄×C₅	C₂³	1	2	yes	—
153	C₂³×C₄×C₅	C₂³	1	2	yes	—
154	C₂³×C₄×C₅	C₂³	1	2	yes	—
155	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
156	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
157	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
158	C₂³×C₄×C₅	C₂³	1	2	yes	—
159	C₂³×C₄×C₅	C₂³	1	2	yes	—
160	C₂³×C₄×C₅	C₂³	1	2	yes	—
161	C₂³×C₄×C₅	C₂³	1	2	yes	—
162	C₂³×C₄×C₅	C₂³	1	2	yes	—
163	C₂³×C₄×C₅	C₂³	1	2	yes	—
164	C₂³×C₄×C₅	C₂³	1	2	yes	—
165	C₅×#127	C₂×C₄	1	8	yes	complemented
166	C₅×#121	C₂×C₄	1	8	yes	complemented
167	C₅×#121	C₂×C₄	1	8	yes	complemented
168	C₅×#121	C₂×C₄	1	16	yes	complemented
169	C₅×#120	C₂×C₄	1	16	yes	complemented
170	C₅×#120	C₂×C₄	1	16	yes	complemented
171	C₄×C₅×D₄	—	2	4	no	—
172	C₄×C₅×D₄	—	2	4	no	—
173	C₄×C₅×D₄	—	2	4	no	—
174	C₄×C₅×D₄	—	2	8	no	—
175	C₄×C₅×D₄	—	2	8	no	—
176	C₄×C₅×D₄	—	2	4	no	—
177	C₄×C₅×D₄	—	2	4	no	—
178	C₄×C₅×D₄	—	2	8	no	—
179	C₄×C₅×D₄	—	2	8	no	—
180	C₄×C₅×D₄	—	2	4	no	—
181	C₄×C₅×D₄	—	2	4	no	—
182	C₄×C₅×D₄	—	4	4	no	—
183	C₄×C₅×D₄	—	4	4	no	—
184	C₄×C₅×D₄	—	4	4	no	—
185	C₄×C₅×D₄	C₂×C₄	1	8	yes	complemented
186	C₄×C₅×D₄	C₂×C₄	1	8	yes	complemented
187	C₄×C₅×D₄	D₄	1	8	yes	complemented
188	C₅×#117	—	2	4	no	—
189	C₅×#117	—	2	4	no	—
190	C₂×C₅×C₄⋊C₄	—	2	4	no	—
191	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
192	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
193	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
194	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
195	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
196	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
197	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
200	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
201	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₅×C₂²⋊C₄	—	2	8	no	—
205	C₂×C₅×C₂²⋊C₄	—	2	8	no	—
206	C₂×C₅×C₂²⋊C₄	—	2	8	no	—
207	C₂×C₅×C₂²⋊C₄	—	4	4	no	—
208	C₂×C₅×C₂²⋊C₄	—	4	4	no	—
209	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
210	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
212	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
215	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
216	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
217	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
219	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
221	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
222	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
223	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
224	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
226	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
227	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
228	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
229	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
230	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
231	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
232	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
233	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
235	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
236	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
237	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
239	C₂×C₄²×C₅	—	2	4	no	—
240	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
241	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
242	C₂×C₄²×C₅	C₂³	1	2	yes	—
243	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
244	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
245	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
246	C₂×C₄²×C₅	C₂³	1	2	yes	—
247	C₂×C₄²×C₅	C₂³	1	2	yes	—
248	C₂×C₄²×C₅	C₂³	1	2	yes	—
249	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
250	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
251	C₅×#95	C₂³	1	1	yes	characteristic
252	C₅×#95	C₂³	1	1	yes	characteristic
253	C₅×#95	C₂³	1	2	yes	—
254	C₅×#95	C₂³	1	2	yes	—
255	C₅×#95	C₂³	1	2	yes	—
256	C₅×#95	C₂³	1	2	yes	—
257	C₅×#95	C₂³	1	2	yes	—
258	C₅×#95	C₂³	1	2	yes	—
259	C₅×#95	C₂³	1	1	yes	characteristic
260	C₅×#95	C₂³	1	1	yes	characteristic
261	C₅×#95	C₂³	1	1	yes	characteristic
262	C₅×#95	C₂³	1	1	yes	characteristic
263	C₅×#95	C₂³	1	2	yes	—
264	C₅×#95	C₂³	1	2	yes	—
265	C₅×#95	C₂³	1	2	yes	—
266	C₅×#95	C₂³	1	1	yes	characteristic
267	C₅×#95	C₂³	1	1	yes	characteristic
268	C₅×#95	C₂³	1	1	yes	characteristic
269	C₅×#95	C₂³	1	1	yes	characteristic
270	C₂×D₄²	C₂×C₅	1	1	yes	characteristic
271	C₂×#518	C₂×C₅	1	1	yes	characteristic, complemented
272	C₂²×C₄×D₄	C₂×C₅	1	1	yes	characteristic, complemented
273	#2366	C₂×C₅	1	1	yes	characteristic, complemented
274	#2364	C₂×C₅	1	2	yes	complemented
275	#2363	C₂×C₅	1	1	yes	characteristic, complemented
276	#2361	C₂×C₅	1	1	yes	characteristic, complemented
277	#2358	C₂×C₅	1	2	yes	complemented
278	#2358	C₂×C₅	1	2	yes	complemented
279	#2352	C₂×C₅	1	1	yes	characteristic, complemented
280	#2349	C₂×C₅	1	1	yes	characteristic, complemented
281	D₄×C₂²⋊C₄	C₂×C₅	1	1	yes	characteristic, complemented
282	D₄×C₂²⋊C₄	C₂×C₅	1	1	yes	characteristic, complemented
283	D₄×C₂²⋊C₄	C₂×C₅	1	2	yes	complemented
284	#2328	C₂×C₅	1	1	yes	characteristic, complemented
285	#2325	C₂×C₅	1	2	yes	complemented
286	#2324	C₂×C₅	1	1	yes	characteristic, complemented
287	#2321	C₂×C₅	1	2	yes	complemented
288	C₄×#121	C₂×C₅	1	1	yes	characteristic, complemented
289	C₄×#120	C₂×C₅	1	2	yes	complemented
290	#2290	C₂×C₅	1	1	yes	characteristic, complemented
291	C₂×#386	C₂×C₅	1	2	yes	complemented
292	#2275	C₂×C₅	1	1	yes	characteristic, complemented
293	C₂⁴×C₅	—	2	4	no	—
294	C₂⁴×C₅	—	2	4	no	—
295	C₂⁴×C₅	—	2	4	no	—
296	C₂⁴×C₅	—	2	4	no	—
297	C₂⁴×C₅	—	2	4	no	—
298	C₂⁴×C₅	—	2	4	no	—
299	C₂⁴×C₅	—	4	2	no	—
300	C₂⁴×C₅	—	4	2	no	—
301	C₂⁴×C₅	—	4	2	no	—
302	C₂⁴×C₅	—	4	2	no	—
303	C₂⁴×C₅	—	4	2	no	—
304	C₂⁴×C₅	—	4	2	no	—
305	C₂⁴×C₅	C₂²×C₄	1	8	yes	—
306	C₂⁴×C₅	C₂²×C₄	1	8	yes	complemented
307	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
308	C₂⁴×C₅	C₂⁴	1	2	yes	—
309	C₂⁴×C₅	C₂⁴	1	2	yes	—
310	C₂⁴×C₅	C₂⁴	1	2	yes	—
311	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
312	C₂×C₅×D₄	—	2	4	no	—
313	C₂×C₅×D₄	—	2	4	no	—
314	C₂×C₅×D₄	—	2	4	no	—
315	C₂×C₅×D₄	—	2	4	no	—
316	C₂×C₅×D₄	—	2	4	no	—
317	C₂×C₅×D₄	—	2	4	no	—
318	C₂×C₅×D₄	—	2	2	no	—
319	C₂×C₅×D₄	—	2	2	no	—
320	C₂×C₅×D₄	—	2	32	no	—
321	C₂×C₅×D₄	—	2	32	no	—
322	C₂×C₅×D₄	—	2	2	no	—
323	C₂×C₅×D₄	—	2	2	no	—
324	C₂×C₅×D₄	—	2	2	no	—
325	C₂×C₅×D₄	—	2	2	no	—
326	C₂×C₅×D₄	—	4	2	no	—
327	C₂×C₅×D₄	—	4	2	no	—
328	C₂×C₅×D₄	—	4	2	no	—
329	C₂×C₅×D₄	—	4	2	no	—
330	C₂×C₅×D₄	—	4	2	no	—
331	C₂×C₅×D₄	—	4	2	no	—
332	C₂×C₅×D₄	—	4	32	no	—
333	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
334	C₂×C₅×D₄	C₂²×C₄	1	8	yes	—
335	C₂×C₅×D₄	C₂²×C₄	1	8	yes	—
336	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
337	C₂×C₅×D₄	C₂²×C₄	1	4	yes	—
338	C₂×C₅×D₄	C₂²×C₄	1	8	yes	complemented
339	C₂×C₅×D₄	C₂²×C₄	1	4	yes	complemented
340	C₂×C₅×D₄	C₂²×C₄	1	8	yes	complemented
341	C₂×C₅×D₄	C₂²×C₄	1	8	yes	complemented
342	C₂×C₅×D₄	C₂²×C₄	1	8	yes	complemented
343	C₂×C₅×D₄	C₂×D₄	1	4	yes	—
344	C₂×C₅×D₄	#41	1	4	yes	—
345	C₂²×C₄×C₅	—	2	2	no	—
346	C₂²×C₄×C₅	—	2	2	no	—
347	C₂²×C₄×C₅	—	2	2	no	—
348	C₂²×C₄×C₅	—	2	2	no	—
349	C₂²×C₄×C₅	—	2	2	no	—
350	C₂²×C₄×C₅	—	2	2	no	—
351	C₂²×C₄×C₅	—	2	2	no	—
352	C₂²×C₄×C₅	—	2	4	no	—
353	C₂²×C₄×C₅	—	2	2	no	—
354	C₂²×C₄×C₅	—	2	4	no	—
355	C₂²×C₄×C₅	—	2	4	no	—
356	C₂²×C₄×C₅	—	2	4	no	—
357	C₂²×C₄×C₅	—	2	2	no	—
358	C₂²×C₄×C₅	—	2	4	no	—
359	C₂²×C₄×C₅	—	2	4	no	—
360	C₂²×C₄×C₅	—	2	4	no	—
361	C₂²×C₄×C₅	—	2	4	no	—
362	C₂²×C₄×C₅	—	2	4	no	—
363	C₂²×C₄×C₅	—	2	4	no	—
364	C₂²×C₄×C₅	—	2	4	no	—
365	C₂²×C₄×C₅	—	4	2	no	—
366	C₂²×C₄×C₅	—	4	2	no	—
367	C₂²×C₄×C₅	—	4	2	no	—
368	C₂²×C₄×C₅	—	4	2	no	—
369	C₂²×C₄×C₅	—	4	2	no	—
370	C₂²×C₄×C₅	—	4	2	no	—
371	C₂²×C₄×C₅	—	4	2	no	—
372	C₂²×C₄×C₅	—	4	1	no	—
373	C₂²×C₄×C₅	—	4	2	no	—
374	C₂²×C₄×C₅	—	4	2	no	—
375	C₂²×C₄×C₅	—	4	2	no	—
376	C₂²×C₄×C₅	—	4	2	no	—
377	C₂²×C₄×C₅	—	4	2	no	—
378	C₂²×C₄×C₅	—	4	2	no	—
379	C₂²×C₄×C₅	—	4	2	no	—
380	C₂²×C₄×C₅	—	4	2	no	—
381	C₂²×C₄×C₅	—	4	2	no	—
382	C₂²×C₄×C₅	—	4	2	no	—
383	C₂²×C₄×C₅	—	4	32	no	—
384	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
385	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	complemented
386	C₂²×C₄×C₅	C₂²×C₄	1	8	yes	complemented
387	C₂²×C₄×C₅	C₂×D₄	1	8	yes	complemented
388	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
391	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
394	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
396	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
400	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
403	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
406	C₅×C₄⋊C₄	—	2	4	no	—
407	C₅×C₄⋊C₄	—	2	2	no	—
408	C₅×C₄⋊C₄	—	2	2	no	—
409	C₅×C₄⋊C₄	—	2	2	no	—
410	C₅×C₄⋊C₄	—	2	2	no	—
411	C₅×C₄⋊C₄	—	2	2	no	—
412	C₅×C₄⋊C₄	—	2	2	no	—
413	C₅×C₄⋊C₄	—	4	1	no	—
414	C₅×C₄⋊C₄	—	4	2	no	—
415	C₅×C₄⋊C₄	—	4	2	no	—
416	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
417	C₅×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
418	C₅×C₄⋊C₄	C₂×D₄	1	4	yes	complemented
419	C₅×C₂²⋊C₄	—	2	4	no	—
420	C₅×C₂²⋊C₄	—	2	4	no	—
421	C₅×C₂²⋊C₄	—	2	4	no	—
422	C₅×C₂²⋊C₄	—	2	2	no	—
423	C₅×C₂²⋊C₄	—	2	4	no	—
424	C₅×C₂²⋊C₄	—	2	2	no	—
425	C₅×C₂²⋊C₄	—	2	2	no	—
426	C₅×C₂²⋊C₄	—	2	2	no	—
427	C₅×C₂²⋊C₄	—	2	4	no	—
428	C₅×C₂²⋊C₄	—	2	4	no	—
429	C₅×C₂²⋊C₄	—	2	4	no	—
430	C₅×C₂²⋊C₄	—	2	4	no	—
431	C₅×C₂²⋊C₄	—	2	4	no	—
432	C₅×C₂²⋊C₄	—	2	2	no	—
433	C₅×C₂²⋊C₄	—	2	4	no	—
434	C₅×C₂²⋊C₄	—	4	2	no	—
435	C₅×C₂²⋊C₄	—	4	2	no	—
436	C₅×C₂²⋊C₄	—	4	2	no	—
437	C₅×C₂²⋊C₄	—	4	2	no	—
438	C₅×C₂²⋊C₄	—	4	1	no	—
439	C₅×C₂²⋊C₄	—	4	2	no	—
440	C₅×C₂²⋊C₄	—	4	2	no	—
441	C₅×C₂²⋊C₄	—	4	2	no	—
442	C₅×C₂²⋊C₄	—	4	2	no	—
443	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
444	C₅×C₂²⋊C₄	C₂²×C₄	1	4	yes	complemented
445	C₅×C₂²⋊C₄	C₂²×C₄	1	8	yes	complemented
446	C₅×C₂²⋊C₄	C₂²×C₄	1	8	yes	complemented
447	C₅×C₂²⋊C₄	C₂²×C₄	1	8	yes	complemented
448	C₅×C₂²⋊C₄	C₂×D₄	1	8	yes	complemented
449	C₄²×C₅	—	2	2	no	—
450	C₄²×C₅	—	2	2	no	—
451	C₄²×C₅	—	2	2	no	—
452	C₄²×C₅	—	2	4	no	—
453	C₄²×C₅	—	2	2	no	—
454	C₄²×C₅	—	2	2	no	—
455	C₄²×C₅	—	4	2	no	—
456	C₄²×C₅	—	4	2	no	—
457	C₄²×C₅	—	4	2	no	—
458	C₄²×C₅	C₂²×C₄	1	4	yes	complemented
459	C₄²×C₅	C₂×D₄	1	4	yes	complemented
460	C₂³×D₄	C₂²×C₅	1	1	yes	characteristic
461	C₂³×D₄	C₂²×C₅	1	1	yes	characteristic
462	C₂³×D₄	C₂²×C₅	1	2	yes	—
463	C₂⁴×C₄	C₂²×C₅	1	2	yes	complemented
464	D₄²	C₄×C₅	1	16	yes	complemented
465	C₂×#127	C₂²×C₅	1	1	yes	characteristic
466	C₂×#121	C₂²×C₅	1	1	yes	characteristic
467	C₂×#121	C₂²×C₅	1	2	yes	—
468	C₂×#121	C₂²×C₅	1	1	yes	characteristic
469	C₂×#120	C₂²×C₅	1	2	yes	—
470	C₂×#120	C₂²×C₅	1	2	yes	—
471	#518	—	2	8	no	—
472	C₂×C₄×D₄	—	2	8	no	—
473	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
474	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
475	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
476	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
477	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
478	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
479	C₂×C₄×D₄	C₂²×C₅	1	2	yes	complemented
480	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
481	C₂×C₄×D₄	C₂²×C₅	1	2	yes	complemented
482	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
483	C₂×C₄×D₄	C₂²×C₅	1	2	yes	complemented
484	C₂×C₄×D₄	C₂²×C₅	1	2	yes	complemented
485	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
486	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
487	C₂×C₄×D₄	C₂²×C₅	1	2	yes	complemented
488	C₂×C₄×D₄	C₂²×C₅	1	2	yes	complemented
489	C₂×C₄×D₄	C₂²×C₅	1	2	yes	complemented
490	C₂×#117	C₂²×C₅	1	1	yes	characteristic, complemented
491	C₂×#117	C₂²×C₅	1	1	yes	characteristic, complemented
492	C₂²×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
493	C₂²×C₂²⋊C₄	C₂²×C₅	1	2	yes	complemented
494	C₂²×C₂²⋊C₄	C₂²×C₅	1	2	yes	complemented
495	C₂²×C₂²⋊C₄	C₂²×C₅	1	2	yes	complemented
496	C₂²×C₂²⋊C₄	C₂²×C₅	1	2	yes	complemented
497	C₂²×C₂²⋊C₄	C₂²×C₅	1	2	yes	complemented
498	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic, complemented
499	#390	C₂²×C₅	1	2	yes	complemented
500	#390	C₂²×C₅	1	2	yes	complemented
501	#390	C₂²×C₅	1	2	yes	complemented
502	#390	C₂²×C₅	1	1	yes	characteristic, complemented
503	#390	C₂²×C₅	1	1	yes	characteristic, complemented
504	#390	C₂²×C₅	1	1	yes	characteristic, complemented
505	#390	C₂²×C₅	1	1	yes	characteristic, complemented
506	#389	C₂²×C₅	1	1	yes	characteristic, complemented
507	#389	C₂²×C₅	1	1	yes	characteristic, complemented
508	#388	C₂²×C₅	1	1	yes	characteristic, complemented
509	#388	C₂²×C₅	1	2	yes	complemented
510	#388	C₂²×C₅	1	2	yes	complemented
511	#388	C₂²×C₅	1	2	yes	complemented
512	#388	C₂²×C₅	1	2	yes	complemented
513	#388	C₂²×C₅	1	2	yes	complemented
514	#388	C₂²×C₅	1	1	yes	characteristic, complemented
515	#387	C₂²×C₅	1	1	yes	characteristic, complemented
516	#387	C₂²×C₅	1	2	yes	complemented
517	#387	C₂²×C₅	1	1	yes	characteristic, complemented
518	#386	C₂²×C₅	1	1	yes	characteristic
519	#386	C₂²×C₅	1	2	yes	—
520	#386	C₂²×C₅	1	1	yes	characteristic
521	#386	C₂²×C₅	1	2	yes	complemented
522	#386	C₂²×C₅	1	2	yes	complemented
523	#386	C₂²×C₅	1	2	yes	complemented
524	#386	C₂²×C₅	1	2	yes	complemented
525	#386	C₂²×C₅	1	2	yes	complemented
526	#386	C₂²×C₅	1	2	yes	complemented
527	#386	C₂²×C₅	1	2	yes	complemented
528	#386	C₂²×C₅	1	2	yes	complemented
529	#386	C₂²×C₅	1	2	yes	complemented
530	#386	C₂²×C₅	1	2	yes	complemented
531	#386	C₂²×C₅	1	2	yes	complemented
532	#386	C₂²×C₅	1	2	yes	complemented
533	#386	C₂²×C₅	1	2	yes	complemented
534	#386	C₂²×C₅	1	2	yes	complemented
535	#385	C₂²×C₅	1	2	yes	complemented
536	#385	C₂²×C₅	1	2	yes	complemented
537	#385	C₂²×C₅	1	2	yes	complemented
538	#385	C₂²×C₅	1	2	yes	complemented
539	#385	C₂²×C₅	1	1	yes	characteristic, complemented
540	#385	C₂²×C₅	1	1	yes	characteristic, complemented
541	#382	C₂²×C₅	1	1	yes	characteristic, complemented
542	#380	C₂²×C₅	1	1	yes	characteristic, complemented
543	#380	C₂²×C₅	1	2	yes	complemented
544	#380	C₂²×C₅	1	1	yes	characteristic, complemented
545	#379	C₂²×C₅	1	2	yes	complemented
546	#379	C₂²×C₅	1	2	yes	complemented
547	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
548	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
549	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
550	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
551	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	complemented
552	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
553	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
554	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	complemented
555	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	complemented
556	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	complemented
557	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	complemented
558	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	complemented
559	#376	C₂²×C₅	1	1	yes	characteristic, complemented
560	C₂×#95	C₂²×C₅	1	2	yes	complemented
561	C₂×#95	C₂²×C₅	1	2	yes	complemented
562	C₂³×C₅	—	2	1	no	—
563	C₂³×C₅	—	2	1	no	—
564	C₂³×C₅	—	2	1	no	—
565	C₂³×C₅	—	2	2	no	—
566	C₂³×C₅	—	2	2	no	—
567	C₂³×C₅	—	2	2	no	—
568	C₂³×C₅	—	2	1	no	—
569	C₂³×C₅	—	2	2	no	—
570	C₂³×C₅	—	2	16	no	—
571	C₂³×C₅	—	2	16	no	—
572	C₂³×C₅	—	2	1	no	—
573	C₂³×C₅	—	2	2	no	—
574	C₂³×C₅	—	2	2	no	—
575	C₂³×C₅	—	2	1	no	—
576	C₂³×C₅	—	2	2	no	—
577	C₂³×C₅	—	2	2	no	—
578	C₂³×C₅	—	2	1	no	—
579	C₂³×C₅	—	2	2	no	—
580	C₂³×C₅	—	2	2	no	—
581	C₂³×C₅	—	2	2	no	—
582	C₂³×C₅	—	2	2	no	—
583	C₂³×C₅	—	2	2	no	—
584	C₂³×C₅	—	2	2	no	—
585	C₂³×C₅	—	2	1	no	—
586	C₂³×C₅	—	2	1	no	—
587	C₂³×C₅	—	2	2	no	—
588	C₂³×C₅	—	2	1	no	—
589	C₂³×C₅	—	2	2	no	—
590	C₂³×C₅	—	2	16	no	—
591	C₂³×C₅	—	4	8	no	—
592	C₂³×C₅	—	4	8	no	—
593	C₂³×C₅	—	4	8	no	—
594	C₂³×C₅	—	4	8	no	—
595	C₂³×C₅	—	4	8	no	—
596	C₂³×C₅	—	4	8	no	—
597	C₂³×C₅	—	4	8	no	—
598	C₂³×C₅	—	8	4	no	—
599	C₂³×C₅	—	8	4	no	—
600	C₂³×C₅	—	8	4	no	—
601	C₂³×C₅	—	8	4	no	—
602	C₂³×C₅	C₂³×C₄	1	2	yes	—
603	C₂³×C₅	C₂³×C₄	1	4	yes	—
604	C₂³×C₅	C₂³×C₄	1	4	yes	—
605	C₂³×C₅	C₂³×C₄	1	4	yes	—
606	C₂³×C₅	C₂³×C₄	1	2	yes	—
607	C₂³×C₅	C₂²×D₄	1	4	yes	—
608	C₂³×C₅	C₂×#41	1	4	yes	—
609	C₂³×C₅	H(5,𝔽₂)	1	2	yes	—
610	C₂³×C₅	H(5,𝔽₂)	1	2	yes	—
611	C₂³×C₅	C₂⁵	1	1	yes	characteristic
612	C₅×D₄	—	2	16	no	—
613	C₅×D₄	—	2	16	no	—
614	C₅×D₄	—	2	8	no	—
615	C₅×D₄	—	2	16	no	—
616	C₅×D₄	—	2	8	no	—
617	C₅×D₄	—	2	8	no	—
618	C₅×D₄	—	4	8	no	—
619	C₅×D₄	—	4	8	no	—
620	C₅×D₄	—	4	8	no	—
621	C₅×D₄	C₄×D₄	1	16	yes	complemented
622	C₂×C₄×C₅	—	2	8	no	—
623	C₂×C₄×C₅	—	2	1	no	—
624	C₂×C₄×C₅	—	2	1	no	—
625	C₂×C₄×C₅	—	2	1	no	—
626	C₂×C₄×C₅	—	2	1	no	—
627	C₂×C₄×C₅	—	2	1	no	—
628	C₂×C₄×C₅	—	2	1	no	—
629	C₂×C₄×C₅	—	2	1	no	—
630	C₂×C₄×C₅	—	2	2	no	—
631	C₂×C₄×C₅	—	2	2	no	—
632	C₂×C₄×C₅	—	2	2	no	—
633	C₂×C₄×C₅	—	2	2	no	—
634	C₂×C₄×C₅	—	2	1	no	—
635	C₂×C₄×C₅	—	2	1	no	—
636	C₂×C₄×C₅	—	2	1	no	—
637	C₂×C₄×C₅	—	2	1	no	—
638	C₂×C₄×C₅	—	2	1	no	—
639	C₂×C₄×C₅	—	2	1	no	—
640	C₂×C₄×C₅	—	2	1	no	—
641	C₂×C₄×C₅	—	2	8	no	—
642	C₂×C₄×C₅	—	2	8	no	—
643	C₂×C₄×C₅	—	2	1	no	—
644	C₂×C₄×C₅	—	2	1	no	—
645	C₂×C₄×C₅	—	2	2	no	—
646	C₂×C₄×C₅	—	2	1	no	—
647	C₂×C₄×C₅	—	2	2	no	—
648	C₂×C₄×C₅	—	2	1	no	—
649	C₂×C₄×C₅	—	2	1	no	—
650	C₂×C₄×C₅	—	2	2	no	—
651	C₂×C₄×C₅	—	2	1	no	—
652	C₂×C₄×C₅	—	2	2	no	—
653	C₂×C₄×C₅	—	2	2	no	—
654	C₂×C₄×C₅	—	2	1	no	—
655	C₂×C₄×C₅	—	2	1	no	—
656	C₂×C₄×C₅	—	2	1	no	—
657	C₂×C₄×C₅	—	2	2	no	—
658	C₂×C₄×C₅	—	2	1	no	—
659	C₂×C₄×C₅	—	2	1	no	—
660	C₂×C₄×C₅	—	2	1	no	—
661	C₂×C₄×C₅	—	2	2	no	—
662	C₂×C₄×C₅	—	2	2	no	—
663	C₂×C₄×C₅	—	2	1	no	—
664	C₂×C₄×C₅	—	2	1	no	—
665	C₂×C₄×C₅	—	2	2	no	—
666	C₂×C₄×C₅	—	2	1	no	—
667	C₂×C₄×C₅	—	4	8	no	—
668	C₂×C₄×C₅	—	4	8	no	—
669	C₂×C₄×C₅	—	4	8	no	—
670	C₂×C₄×C₅	—	4	4	no	—
671	C₂×C₄×C₅	—	4	8	no	—
672	C₂×C₄×C₅	—	4	8	no	—
673	C₂×C₄×C₅	—	4	8	no	—
674	C₂×C₄×C₅	—	8	4	no	—
675	C₂×C₄×C₅	—	8	4	no	—
676	C₂×C₄×C₅	—	8	4	no	—
677	C₂×C₄×C₅	—	8	4	no	—
678	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
679	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
680	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
681	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
682	C₂×C₄×C₅	C₂³×C₄	1	4	yes	—
683	C₂×C₄×C₅	C₂³×C₄	1	2	yes	—
684	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
685	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
686	C₂×C₄×C₅	C₂²×D₄	1	4	yes	—
687	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
688	C₂×C₄×C₅	C₂×#41	1	2	yes	—
689	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
690	C₂⁵	C₂³×C₅	1	2	yes	—
691	C₂⁵	C₂³×C₅	1	2	yes	—
692	C₂²×D₄	—	2	4	no	—
693	C₂²×D₄	—	2	4	no	—
694	C₂²×D₄	—	2	4	no	—
695	C₂²×D₄	—	2	4	no	—
696	C₂²×D₄	—	4	4	no	—
697	C₂²×D₄	—	4	4	no	—
698	C₂²×D₄	C₂×C₄×C₅	1	8	yes	complemented
699	C₂²×D₄	C₂×C₄×C₅	1	8	yes	complemented
700	C₂²×D₄	C₂×C₄×C₅	1	16	yes	complemented
701	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
702	C₂²×D₄	C₂³×C₅	1	2	yes	—
703	C₂²×D₄	C₂³×C₅	1	2	yes	—
704	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
705	C₂²×D₄	C₂³×C₅	1	2	yes	—
706	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
707	C₂²×D₄	C₂³×C₅	1	2	yes	—
708	C₂²×D₄	C₂³×C₅	1	2	yes	—
709	C₂²×D₄	C₂³×C₅	1	2	yes	—
710	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
711	C₂³×C₄	—	2	8	no	—
712	C₂³×C₄	—	4	4	no	—
713	C₂³×C₄	—	4	4	no	—
714	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
715	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
716	C₂³×C₄	C₂³×C₅	1	2	yes	—
717	C₂³×C₄	C₂³×C₅	1	2	yes	—
718	C₂³×C₄	C₂³×C₅	1	2	yes	—
719	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
720	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
721	C₂³×C₄	C₂³×C₅	1	2	yes	—
722	C₂³×C₄	C₂³×C₅	1	2	yes	—
723	C₂³×C₄	C₂³×C₅	1	2	yes	—
724	C₂³×C₄	C₂³×C₅	1	2	yes	—
725	C₂³×C₄	C₂³×C₅	1	2	yes	—
726	C₂³×C₄	C₂³×C₅	1	2	yes	—
727	C₂³×C₄	C₂³×C₅	1	2	yes	—
728	#127	C₂×C₄×C₅	1	8	yes	complemented
729	#121	C₂×C₄×C₅	1	8	yes	complemented
730	#121	C₂×C₄×C₅	1	8	yes	complemented
731	#121	C₂×C₄×C₅	1	16	yes	complemented
732	#120	C₂×C₄×C₅	1	16	yes	complemented
733	#120	C₂×C₄×C₅	1	16	yes	complemented
734	C₄×D₄	—	2	4	no	—
735	C₄×D₄	—	2	4	no	—
736	C₄×D₄	—	2	4	no	—
737	C₄×D₄	—	2	8	no	—
738	C₄×D₄	—	2	8	no	—
739	C₄×D₄	—	2	4	no	—
740	C₄×D₄	—	2	4	no	—
741	C₄×D₄	—	2	8	no	—
742	C₄×D₄	—	2	8	no	—
743	C₄×D₄	—	2	4	no	—
744	C₄×D₄	—	2	4	no	—
745	C₄×D₄	—	4	4	no	—
746	C₄×D₄	—	4	4	no	—
747	C₄×D₄	—	4	4	no	—
748	C₄×D₄	C₂×C₄×C₅	1	8	yes	complemented
749	C₄×D₄	C₂×C₄×C₅	1	8	yes	complemented
750	C₄×D₄	C₅×D₄	1	8	yes	complemented
751	#117	—	2	4	no	—
752	#117	—	2	4	no	—
753	C₂×C₄⋊C₄	—	2	4	no	—
754	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
755	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
756	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
757	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
758	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
759	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
760	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
761	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
762	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
763	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
764	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
765	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
766	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
767	C₂×C₂²⋊C₄	—	2	8	no	—
768	C₂×C₂²⋊C₄	—	2	8	no	—
769	C₂×C₂²⋊C₄	—	2	8	no	—
770	C₂×C₂²⋊C₄	—	4	4	no	—
771	C₂×C₂²⋊C₄	—	4	4	no	—
772	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
773	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
774	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
775	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
776	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
777	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
778	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
779	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
780	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
781	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
782	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
783	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
784	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
785	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
786	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
787	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
788	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
789	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
790	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
791	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
792	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
793	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
794	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
795	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
796	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
797	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
798	C₂×C₂²⋊C₄	C₂³×C₅	1	1	yes	characteristic
799	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
800	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
801	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
802	C₂×C₄²	—	2	4	no	—
803	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
804	C₂×C₄²	C₂³×C₅	1	2	yes	—
805	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
806	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
807	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
808	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
809	C₂×C₄²	C₂³×C₅	1	2	yes	—
810	C₂×C₄²	C₂³×C₅	1	2	yes	—
811	C₂×C₄²	C₂³×C₅	1	2	yes	—
812	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
813	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
814	#95	C₂³×C₅	1	1	yes	characteristic
815	#95	C₂³×C₅	1	1	yes	characteristic
816	#95	C₂³×C₅	1	2	yes	—
817	#95	C₂³×C₅	1	2	yes	—
818	#95	C₂³×C₅	1	2	yes	—
819	#95	C₂³×C₅	1	2	yes	—
820	#95	C₂³×C₅	1	2	yes	—
821	#95	C₂³×C₅	1	2	yes	—
822	#95	C₂³×C₅	1	1	yes	characteristic
823	#95	C₂³×C₅	1	1	yes	characteristic
824	#95	C₂³×C₅	1	1	yes	characteristic
825	#95	C₂³×C₅	1	1	yes	characteristic
826	#95	C₂³×C₅	1	2	yes	—
827	#95	C₂³×C₅	1	2	yes	—
828	#95	C₂³×C₅	1	2	yes	—
829	#95	C₂³×C₅	1	1	yes	characteristic
830	#95	C₂³×C₅	1	1	yes	characteristic
831	#95	C₂³×C₅	1	1	yes	characteristic
832	#95	C₂³×C₅	1	1	yes	characteristic
833	C₂²×C₅	—	2	2	no	—
834	C₂²×C₅	—	2	4	no	—
835	C₂²×C₅	—	2	2	no	—
836	C₂²×C₅	—	2	4	no	—
837	C₂²×C₅	—	2	2	no	—
838	C₂²×C₅	—	2	4	no	—
839	C₂²×C₅	—	2	2	no	—
840	C₂²×C₅	—	2	4	no	—
841	C₂²×C₅	—	2	2	no	—
842	C₂²×C₅	—	2	4	no	—
843	C₂²×C₅	—	2	4	no	—
844	C₂²×C₅	—	2	2	no	—
845	C₂²×C₅	—	2	2	no	—
846	C₂²×C₅	—	2	4	no	—
847	C₂²×C₅	—	2	4	no	—
848	C₂²×C₅	—	2	2	no	—
849	C₂²×C₅	—	2	4	no	—
850	C₂²×C₅	—	2	4	no	—
851	C₂²×C₅	—	2	4	no	—
852	C₂²×C₅	—	2	4	no	—
853	C₂²×C₅	—	2	2	no	—
854	C₂²×C₅	—	4	32	no	—
855	C₂²×C₅	—	4	2	no	—
856	C₂²×C₅	—	4	2	no	—
857	C₂²×C₅	—	4	1	no	—
858	C₂²×C₅	—	4	2	no	—
859	C₂²×C₅	—	4	2	no	—
860	C₂²×C₅	—	4	1	no	—
861	C₂²×C₅	—	4	2	no	—
862	C₂²×C₅	—	4	2	no	—
863	C₂²×C₅	—	4	1	no	—
864	C₂²×C₅	—	4	2	no	—
865	C₂²×C₅	—	4	2	no	—
866	C₂²×C₅	—	4	1	no	—
867	C₂²×C₅	—	8	16	no	—
868	C₂²×C₅	C₂×C₄×D₄	1	8	yes	—
869	C₂²×C₅	#518	1	4	yes	complemented
870	C₂²×C₅	C₂⁴×C₄	1	1	yes	characteristic
871	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
872	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
873	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
874	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
875	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
876	C₂²×C₅	#585	1	1	yes	characteristic
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	2	no	—
882	C₄×C₅	—	2	2	no	—
883	C₄×C₅	—	2	2	no	—
884	C₄×C₅	—	2	4	no	—
885	C₄×C₅	—	2	2	no	—
886	C₄×C₅	—	4	2	no	—
887	C₄×C₅	—	4	1	no	—
888	C₄×C₅	—	4	1	no	—
889	C₄×C₅	—	4	1	no	—
890	C₄×C₅	—	4	2	no	—
891	C₄×C₅	—	4	1	no	—
892	C₄×C₅	—	4	2	no	—
893	C₄×C₅	—	4	1	no	—
894	C₄×C₅	C₂×C₄×D₄	1	4	yes	—
895	C₂⁴	—	2	4	no	—
896	C₂⁴	—	2	4	no	—
897	C₂⁴	—	2	4	no	—
898	C₂⁴	—	2	4	no	—
899	C₂⁴	—	2	4	no	—
900	C₂⁴	—	2	4	no	—
901	C₂⁴	—	4	2	no	—
902	C₂⁴	—	4	2	no	—
903	C₂⁴	—	4	2	no	—
904	C₂⁴	—	4	2	no	—
905	C₂⁴	—	4	2	no	—
906	C₂⁴	—	4	2	no	—
907	C₂⁴	C₂²×C₄×C₅	1	8	yes	—
908	C₂⁴	C₂²×C₄×C₅	1	8	yes	complemented
909	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
910	C₂⁴	C₂⁴×C₅	1	2	yes	—
911	C₂⁴	C₂⁴×C₅	1	2	yes	—
912	C₂⁴	C₂⁴×C₅	1	2	yes	—
913	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
914	C₂×D₄	—	2	4	no	—
915	C₂×D₄	—	2	4	no	—
916	C₂×D₄	—	2	4	no	—
917	C₂×D₄	—	2	4	no	—
918	C₂×D₄	—	2	4	no	—
919	C₂×D₄	—	2	4	no	—
920	C₂×D₄	—	2	2	no	—
921	C₂×D₄	—	2	2	no	—
922	C₂×D₄	—	2	32	no	—
923	C₂×D₄	—	2	32	no	—
924	C₂×D₄	—	2	2	no	—
925	C₂×D₄	—	2	2	no	—
926	C₂×D₄	—	2	2	no	—
927	C₂×D₄	—	2	2	no	—
928	C₂×D₄	—	4	2	no	—
929	C₂×D₄	—	4	2	no	—
930	C₂×D₄	—	4	2	no	—
931	C₂×D₄	—	4	2	no	—
932	C₂×D₄	—	4	2	no	—
933	C₂×D₄	—	4	2	no	—
934	C₂×D₄	—	4	32	no	—
935	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
936	C₂×D₄	C₂²×C₄×C₅	1	8	yes	—
937	C₂×D₄	C₂²×C₄×C₅	1	8	yes	—
938	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
939	C₂×D₄	C₂²×C₄×C₅	1	4	yes	—
940	C₂×D₄	C₂²×C₄×C₅	1	8	yes	complemented
941	C₂×D₄	C₂²×C₄×C₅	1	4	yes	complemented
942	C₂×D₄	C₂²×C₄×C₅	1	8	yes	complemented
943	C₂×D₄	C₂²×C₄×C₅	1	8	yes	complemented
944	C₂×D₄	C₂²×C₄×C₅	1	8	yes	complemented
945	C₂×D₄	C₂×C₅×D₄	1	4	yes	—
946	C₂×D₄	C₅×#41	1	4	yes	—
947	C₂²×C₄	—	2	2	no	—
948	C₂²×C₄	—	2	2	no	—
949	C₂²×C₄	—	2	2	no	—
950	C₂²×C₄	—	2	2	no	—
951	C₂²×C₄	—	2	2	no	—
952	C₂²×C₄	—	2	2	no	—
953	C₂²×C₄	—	2	2	no	—
954	C₂²×C₄	—	2	4	no	—
955	C₂²×C₄	—	2	2	no	—
956	C₂²×C₄	—	2	4	no	—
957	C₂²×C₄	—	2	4	no	—
958	C₂²×C₄	—	2	4	no	—
959	C₂²×C₄	—	2	2	no	—
960	C₂²×C₄	—	2	4	no	—
961	C₂²×C₄	—	2	4	no	—
962	C₂²×C₄	—	2	4	no	—
963	C₂²×C₄	—	2	4	no	—
964	C₂²×C₄	—	2	4	no	—
965	C₂²×C₄	—	2	4	no	—
966	C₂²×C₄	—	2	4	no	—
967	C₂²×C₄	—	4	2	no	—
968	C₂²×C₄	—	4	2	no	—
969	C₂²×C₄	—	4	2	no	—
970	C₂²×C₄	—	4	2	no	—
971	C₂²×C₄	—	4	2	no	—
972	C₂²×C₄	—	4	2	no	—
973	C₂²×C₄	—	4	2	no	—
974	C₂²×C₄	—	4	2	no	—
975	C₂²×C₄	—	4	2	no	—
976	C₂²×C₄	—	4	1	no	—
977	C₂²×C₄	—	4	2	no	—
978	C₂²×C₄	—	4	2	no	—
979	C₂²×C₄	—	4	2	no	—
980	C₂²×C₄	—	4	2	no	—
981	C₂²×C₄	—	4	2	no	—
982	C₂²×C₄	—	4	2	no	—
983	C₂²×C₄	—	4	2	no	—
984	C₂²×C₄	—	4	2	no	—
985	C₂²×C₄	—	4	32	no	—
986	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
987	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	complemented
988	C₂²×C₄	C₂²×C₄×C₅	1	8	yes	complemented
989	C₂²×C₄	C₂×C₅×D₄	1	8	yes	complemented
990	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
991	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
992	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
993	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
994	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
995	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
996	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
997	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
998	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
999	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1000	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1001	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1002	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
1003	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1004	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1005	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
1006	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1007	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
1008	C₄⋊C₄	—	2	4	no	—
1009	C₄⋊C₄	—	2	2	no	—
1010	C₄⋊C₄	—	2	2	no	—
1011	C₄⋊C₄	—	2	2	no	—
1012	C₄⋊C₄	—	2	2	no	—
1013	C₄⋊C₄	—	2	2	no	—
1014	C₄⋊C₄	—	2	2	no	—
1015	C₄⋊C₄	—	4	2	no	—
1016	C₄⋊C₄	—	4	2	no	—
1017	C₄⋊C₄	—	4	1	no	—
1018	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	complemented
1019	C₄⋊C₄	C₂²×C₄×C₅	1	4	yes	complemented
1020	C₄⋊C₄	C₂×C₅×D₄	1	4	yes	complemented
1021	C₂²⋊C₄	—	2	4	no	—
1022	C₂²⋊C₄	—	2	4	no	—
1023	C₂²⋊C₄	—	2	4	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	—	2	4	no	—
1026	C₂²⋊C₄	—	2	2	no	—
1027	C₂²⋊C₄	—	2	2	no	—
1028	C₂²⋊C₄	—	2	2	no	—
1029	C₂²⋊C₄	—	2	4	no	—
1030	C₂²⋊C₄	—	2	4	no	—
1031	C₂²⋊C₄	—	2	4	no	—
1032	C₂²⋊C₄	—	2	4	no	—
1033	C₂²⋊C₄	—	2	4	no	—
1034	C₂²⋊C₄	—	2	2	no	—
1035	C₂²⋊C₄	—	2	4	no	—
1036	C₂²⋊C₄	—	4	2	no	—
1037	C₂²⋊C₄	—	4	2	no	—
1038	C₂²⋊C₄	—	4	2	no	—
1039	C₂²⋊C₄	—	4	2	no	—
1040	C₂²⋊C₄	—	4	2	no	—
1041	C₂²⋊C₄	—	4	2	no	—
1042	C₂²⋊C₄	—	4	2	no	—
1043	C₂²⋊C₄	—	4	1	no	—
1044	C₂²⋊C₄	—	4	2	no	—
1045	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	—
1046	C₂²⋊C₄	C₂²×C₄×C₅	1	4	yes	complemented
1047	C₂²⋊C₄	C₂²×C₄×C₅	1	8	yes	complemented
1048	C₂²⋊C₄	C₂²×C₄×C₅	1	8	yes	complemented
1049	C₂²⋊C₄	C₂²×C₄×C₅	1	8	yes	complemented
1050	C₂²⋊C₄	C₂×C₅×D₄	1	8	yes	complemented
1051	C₄²	—	2	2	no	—
1052	C₄²	—	2	2	no	—
1053	C₄²	—	2	2	no	—
1054	C₄²	—	2	4	no	—
1055	C₄²	—	2	2	no	—
1056	C₄²	—	2	2	no	—
1057	C₄²	—	4	2	no	—
1058	C₄²	—	4	2	no	—
1059	C₄²	—	4	2	no	—
1060	C₄²	C₂²×C₄×C₅	1	4	yes	complemented
1061	C₄²	C₂×C₅×D₄	1	4	yes	complemented
1062	C₂×C₅	—	2	4	no	—
1063	C₂×C₅	—	2	8	no	—
1064	C₂×C₅	—	4	4	no	—
1065	C₂×C₅	—	4	4	no	—
1066	C₂×C₅	—	4	2	no	—
1067	C₂×C₅	C₂²×C₄×D₄	1	1	yes	characteristic
1068	C₂×C₅	C₂×#518	1	1	yes	characteristic
1069	C₂×C₅	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1070	C₂×C₅	#3484	1	1	yes	characteristic
1071	C₂×C₅	#3488	1	1	yes	characteristic
1072	C₂×C₅	#3513	1	1	yes	characteristic
1073	C₂×C₅	#3519	1	1	yes	characteristic
1074	C₂³	—	2	1	no	—
1075	C₂³	—	2	1	no	—
1076	C₂³	—	2	1	no	—
1077	C₂³	—	2	2	no	—
1078	C₂³	—	2	2	no	—
1079	C₂³	—	2	2	no	—
1080	C₂³	—	2	1	no	—
1081	C₂³	—	2	2	no	—
1082	C₂³	—	2	16	no	—
1083	C₂³	—	2	16	no	—
1084	C₂³	—	2	1	no	—
1085	C₂³	—	2	2	no	—
1086	C₂³	—	2	2	no	—
1087	C₂³	—	2	1	no	—
1088	C₂³	—	2	2	no	—
1089	C₂³	—	2	2	no	—
1090	C₂³	—	2	1	no	—
1091	C₂³	—	2	2	no	—
1092	C₂³	—	2	2	no	—
1093	C₂³	—	2	2	no	—
1094	C₂³	—	2	2	no	—
1095	C₂³	—	2	2	no	—
1096	C₂³	—	2	2	no	—
1097	C₂³	—	2	1	no	—
1098	C₂³	—	2	1	no	—
1099	C₂³	—	2	2	no	—
1100	C₂³	—	2	1	no	—
1101	C₂³	—	2	2	no	—
1102	C₂³	—	2	16	no	—
1103	C₂³	—	4	8	no	—
1104	C₂³	—	4	8	no	—
1105	C₂³	—	4	8	no	—
1106	C₂³	—	4	8	no	—
1107	C₂³	—	4	8	no	—
1108	C₂³	—	4	8	no	—
1109	C₂³	—	4	8	no	—
1110	C₂³	—	8	4	no	—
1111	C₂³	—	8	4	no	—
1112	C₂³	—	8	4	no	—
1113	C₂³	—	8	4	no	—
1114	C₂³	C₂³×C₄×C₅	1	2	yes	—
1115	C₂³	C₂³×C₄×C₅	1	4	yes	—
1116	C₂³	C₂³×C₄×C₅	1	4	yes	—
1117	C₂³	C₂³×C₄×C₅	1	4	yes	—
1118	C₂³	C₂³×C₄×C₅	1	2	yes	—
1119	C₂³	C₂²×C₅×D₄	1	4	yes	—
1120	C₂³	C₂×C₅×#41	1	4	yes	—
1121	C₂³	C₅×H(5,𝔽₂)	1	2	yes	—
1122	C₂³	C₅×H(5,𝔽₂)	1	2	yes	—
1123	C₂³	C₂⁵×C₅	1	1	yes	characteristic
1124	D₄	—	2	16	no	—
1125	D₄	—	2	16	no	—
1126	D₄	—	2	8	no	—
1127	D₄	—	2	16	no	—
1128	D₄	—	2	8	no	—
1129	D₄	—	2	8	no	—
1130	D₄	—	4	8	no	—
1131	D₄	—	4	8	no	—
1132	D₄	—	4	8	no	—
1133	D₄	C₄×C₅×D₄	1	16	yes	complemented
1134	C₂×C₄	—	2	8	no	—
1135	C₂×C₄	—	2	1	no	—
1136	C₂×C₄	—	2	1	no	—
1137	C₂×C₄	—	2	1	no	—
1138	C₂×C₄	—	2	1	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	2	no	—
1143	C₂×C₄	—	2	2	no	—
1144	C₂×C₄	—	2	2	no	—
1145	C₂×C₄	—	2	2	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	1	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	8	no	—
1154	C₂×C₄	—	2	8	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	2	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	2	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	2	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	2	no	—
1165	C₂×C₄	—	2	2	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	2	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	2	no	—
1174	C₂×C₄	—	2	2	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	2	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	4	8	no	—
1180	C₂×C₄	—	4	8	no	—
1181	C₂×C₄	—	4	8	no	—
1182	C₂×C₄	—	4	8	no	—
1183	C₂×C₄	—	4	8	no	—
1184	C₂×C₄	—	4	4	no	—
1185	C₂×C₄	—	4	8	no	—
1186	C₂×C₄	—	8	4	no	—
1187	C₂×C₄	—	8	4	no	—
1188	C₂×C₄	—	8	4	no	—
1189	C₂×C₄	—	8	4	no	—
1190	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1191	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1192	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1193	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1194	C₂×C₄	C₂³×C₄×C₅	1	4	yes	—
1195	C₂×C₄	C₂³×C₄×C₅	1	2	yes	—
1196	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1197	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1198	C₂×C₄	C₂²×C₅×D₄	1	4	yes	—
1199	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
1200	C₂×C₄	C₂×C₅×#41	1	2	yes	—
1201	C₂×C₄	C₅×H(5,𝔽₂)	1	2	yes	—
1202	C₅	#34290	1	1	yes	characteristic, direct product factor, Sylow
1203	C₂²	—	2	2	no	—
1204	C₂²	—	2	4	no	—
1205	C₂²	—	2	2	no	—
1206	C₂²	—	2	4	no	—
1207	C₂²	—	2	2	no	—
1208	C₂²	—	2	4	no	—
1209	C₂²	—	2	2	no	—
1210	C₂²	—	2	4	no	—
1211	C₂²	—	2	2	no	—
1212	C₂²	—	2	4	no	—
1213	C₂²	—	2	4	no	—
1214	C₂²	—	2	2	no	—
1215	C₂²	—	2	2	no	—
1216	C₂²	—	2	4	no	—
1217	C₂²	—	2	4	no	—
1218	C₂²	—	2	2	no	—
1219	C₂²	—	2	4	no	—
1220	C₂²	—	2	4	no	—
1221	C₂²	—	2	4	no	—
1222	C₂²	—	2	4	no	—
1223	C₂²	—	2	2	no	—
1224	C₂²	—	4	32	no	—
1225	C₂²	—	4	2	no	—
1226	C₂²	—	4	2	no	—
1227	C₂²	—	4	1	no	—
1228	C₂²	—	4	2	no	—
1229	C₂²	—	4	2	no	—
1230	C₂²	—	4	1	no	—
1231	C₂²	—	4	2	no	—
1232	C₂²	—	4	1	no	—
1233	C₂²	—	4	2	no	—
1234	C₂²	—	4	2	no	—
1235	C₂²	—	4	1	no	—
1236	C₂²	—	4	2	no	—
1237	C₂²	—	8	16	no	—
1238	C₂²	C₂×C₄×C₅×D₄	1	8	yes	—
1239	C₂²	C₅×#518	1	4	yes	complemented
1240	C₂²	C₂⁴×C₄×C₅	1	1	yes	characteristic
1241	C₂²	C₂³×C₅×D₄	1	1	yes	characteristic
1242	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
1243	C₂²	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1244	C₂²	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1245	C₂²	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1246	C₂²	C₅×#585	1	1	yes	characteristic
1247	C₄	—	2	2	no	—
1248	C₄	—	2	2	no	—
1249	C₄	—	2	2	no	—
1250	C₄	—	2	4	no	—
1251	C₄	—	2	2	no	—
1252	C₄	—	2	2	no	—
1253	C₄	—	2	2	no	—
1254	C₄	—	2	4	no	—
1255	C₄	—	2	2	no	—
1256	C₄	—	4	2	no	—
1257	C₄	—	4	1	no	—
1258	C₄	—	4	1	no	—
1259	C₄	—	4	1	no	—
1260	C₄	—	4	2	no	—
1261	C₄	—	4	1	no	—
1262	C₄	—	4	1	no	—
1263	C₄	—	4	2	no	—
1264	C₄	C₂×C₄×C₅×D₄	1	4	yes	—
1265	C₂	—	2	4	no	—
1266	C₂	—	2	8	no	—
1267	C₂	—	4	4	no	—
1268	C₂	—	4	2	no	—
1269	C₂	—	4	4	no	—
1270	C₂	C₂²×C₄×C₅×D₄	1	1	yes	characteristic
1271	C₂	C₂×C₅×#518	1	1	yes	characteristic
1272	C₂	C₄×C₅×H(5,𝔽₂)	1	1	yes	characteristic
1273	C₂	C₅×#3484	1	1	yes	characteristic
1274	C₂	C₅×#3488	1	1	yes	characteristic
1275	C₂	C₅×#3513	1	1	yes	characteristic
1276	C₂	C₅×#3519	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₅
Frattini, cosocle	C₂³	C₂⁵×C₅
prime radical	C₂×C₅×D₄²	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₅×#518	C₂	semidirect
3. C₂²×C₄×C₅×D₄	C₂	semidirect
4. C₅×#2366	C₂	semidirect
5. C₅×#2364	C₂	semidirect
6. C₅×#2363	C₂	semidirect
7. C₅×#2361	C₂	semidirect
8. C₅×#2358	C₂	semidirect
9. C₅×#2358	C₂	semidirect
10. C₅×#2352	C₂	semidirect
11. C₅×#2349	C₂	semidirect
12. C₅×D₄×C₂²⋊C₄	C₂	semidirect
13. C₅×D₄×C₂²⋊C₄	C₂	semidirect
14. C₅×D₄×C₂²⋊C₄	C₂	semidirect
15. C₅×#2328	C₂	semidirect
16. C₅×#2325	C₂	semidirect
17. C₅×#2324	C₂	semidirect
18. C₅×#2321	C₂	semidirect
19. C₄×C₅×#121	C₂	semidirect
20. C₄×C₅×#120	C₂	semidirect
21. C₅×#2290	C₂	semidirect
22. C₂×C₅×#386	C₂	semidirect
23. C₅×#2275	C₂	semidirect
27. C₂⁴×C₄×C₅	C₂²	semidirect
28. C₅×D₄²	C₄	semidirect
43. C₂×C₄×C₅×D₄	C₂²	semidirect
44. C₂×C₄×C₅×D₄	C₂²	semidirect
45. C₂×C₄×C₅×D₄	C₂²	semidirect
46. C₂×C₄×C₅×D₄	C₂²	semidirect
47. C₂×C₄×C₅×D₄	C₂²	semidirect
48. C₂×C₄×C₅×D₄	C₂²	semidirect
49. C₂×C₄×C₅×D₄	C₂²	semidirect
50. C₂×C₄×C₅×D₄	C₂²	semidirect
51. C₂×C₄×C₅×D₄	C₂²	semidirect
52. C₂×C₄×C₅×D₄	C₂²	semidirect
53. C₂×C₄×C₅×D₄	C₂²	semidirect
54. C₂×C₅×#117	C₂²	semidirect
55. C₂×C₅×#117	C₂²	semidirect
56. C₂²×C₅×C₄⋊C₄	C₂²	semidirect
57. C₂²×C₅×C₂²⋊C₄	C₂²	semidirect
58. C₂²×C₅×C₂²⋊C₄	C₂²	semidirect
59. C₂²×C₅×C₂²⋊C₄	C₂²	semidirect
60. C₂²×C₅×C₂²⋊C₄	C₂²	semidirect
61. C₂²×C₅×C₂²⋊C₄	C₂²	semidirect
62. C₂²×C₄²×C₅	C₂²	semidirect
63. C₅×#390	C₂²	semidirect
64. C₅×#390	C₂²	semidirect
65. C₅×#390	C₂²	semidirect
66. C₅×#390	C₂²	semidirect
67. C₅×#390	C₂²	semidirect
68. C₅×#390	C₂²	semidirect
69. C₅×#390	C₂²	semidirect
70. C₅×#389	C₂²	semidirect
71. C₅×#389	C₂²	semidirect
72. C₅×#388	C₂²	semidirect
73. C₅×#388	C₂²	semidirect
74. C₅×#388	C₂²	semidirect
75. C₅×#388	C₂²	semidirect
76. C₅×#388	C₂²	semidirect
77. C₅×#388	C₂²	semidirect
78. C₅×#388	C₂²	semidirect
79. C₅×#387	C₂²	semidirect
80. C₅×#387	C₂²	semidirect
81. C₅×#387	C₂²	semidirect
85. C₅×#386	C₂²	semidirect
86. C₅×#386	C₂²	semidirect
87. C₅×#386	C₂²	semidirect
88. C₅×#386	C₂²	semidirect
89. C₅×#386	C₂²	semidirect
90. C₅×#386	C₂²	semidirect
91. C₅×#386	C₂²	semidirect
92. C₅×#386	C₂²	semidirect
93. C₅×#386	C₂²	semidirect
94. C₅×#386	C₂²	semidirect
95. C₅×#386	C₂²	semidirect
96. C₅×#386	C₂²	semidirect
97. C₅×#386	C₂²	semidirect
98. C₅×#386	C₂²	semidirect
99. C₅×#385	C₂²	semidirect
100. C₅×#385	C₂²	semidirect
101. C₅×#385	C₂²	semidirect
102. C₅×#385	C₂²	semidirect
103. C₅×#385	C₂²	semidirect
104. C₅×#385	C₂²	semidirect
105. C₅×#382	C₂²	semidirect
106. C₅×#380	C₂²	semidirect
107. C₅×#380	C₂²	semidirect
108. C₅×#380	C₂²	semidirect
109. C₅×#379	C₂²	semidirect
110. C₅×#379	C₂²	semidirect
111. C₄×C₅×C₄⋊C₄	C₂²	semidirect
112. C₄×C₅×C₄⋊C₄	C₂²	semidirect
113. C₄×C₅×C₄⋊C₄	C₂²	semidirect
114. C₄×C₅×C₄⋊C₄	C₂²	semidirect
115. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
116. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
117. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
118. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
119. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
120. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
121. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
122. C₄×C₅×C₂²⋊C₄	C₂²	semidirect
123. C₅×#376	C₂²	semidirect
124. C₂×C₅×#95	C₂²	semidirect
125. C₂×C₅×#95	C₂²	semidirect
126. #34290	C₅	direct (N × H)
135. C₂²×C₅×D₄	C₂×C₄	semidirect
136. C₂²×C₅×D₄	C₂×C₄	semidirect
137. C₂²×C₅×D₄	C₂×C₄	semidirect
165. C₅×#127	C₂×C₄	semidirect
166. C₅×#121	C₂×C₄	semidirect
167. C₅×#121	C₂×C₄	semidirect
168. C₅×#121	C₂×C₄	semidirect
169. C₅×#120	C₂×C₄	semidirect
170. C₅×#120	C₂×C₄	semidirect
185. C₄×C₅×D₄	C₂×C₄	semidirect
186. C₄×C₅×D₄	C₂×C₄	semidirect
187. C₄×C₅×D₄	D₄	semidirect
271. C₂×#518	C₂×C₅	semidirect
272. C₂²×C₄×D₄	C₂×C₅	semidirect
273. #2366	C₂×C₅	semidirect
274. #2364	C₂×C₅	semidirect
275. #2363	C₂×C₅	semidirect
276. #2361	C₂×C₅	semidirect
277. #2358	C₂×C₅	semidirect
278. #2358	C₂×C₅	semidirect
279. #2352	C₂×C₅	semidirect
280. #2349	C₂×C₅	semidirect
281. D₄×C₂²⋊C₄	C₂×C₅	semidirect
282. D₄×C₂²⋊C₄	C₂×C₅	semidirect
283. D₄×C₂²⋊C₄	C₂×C₅	semidirect
284. #2328	C₂×C₅	semidirect
285. #2325	C₂×C₅	semidirect
286. #2324	C₂×C₅	semidirect
287. #2321	C₂×C₅	semidirect
288. C₄×#121	C₂×C₅	semidirect
289. C₄×#120	C₂×C₅	semidirect
290. #2290	C₂×C₅	semidirect
291. C₂×#386	C₂×C₅	semidirect
292. #2275	C₂×C₅	semidirect
306. C₂⁴×C₅	C₂²×C₄	semidirect
338. C₂×C₅×D₄	C₂²×C₄	semidirect
339. C₂×C₅×D₄	C₂²×C₄	semidirect
340. C₂×C₅×D₄	C₂²×C₄	semidirect
341. C₂×C₅×D₄	C₂²×C₄	semidirect
342. C₂×C₅×D₄	C₂²×C₄	semidirect
385. C₂²×C₄×C₅	C₂²×C₄	semidirect
386. C₂²×C₄×C₅	C₂²×C₄	semidirect
387. C₂²×C₄×C₅	C₂×D₄	semidirect
416. C₅×C₄⋊C₄	C₂²×C₄	semidirect
417. C₅×C₄⋊C₄	C₂²×C₄	semidirect
418. C₅×C₄⋊C₄	C₂×D₄	semidirect
444. C₅×C₂²⋊C₄	C₂²×C₄	semidirect
445. C₅×C₂²⋊C₄	C₂²×C₄	semidirect
446. C₅×C₂²⋊C₄	C₂²×C₄	semidirect
447. C₅×C₂²⋊C₄	C₂²×C₄	semidirect
448. C₅×C₂²⋊C₄	C₂×D₄	semidirect
458. C₄²×C₅	C₂²×C₄	semidirect
459. C₄²×C₅	C₂×D₄	semidirect
463. C₂⁴×C₄	C₂²×C₅	semidirect
464. D₄²	C₄×C₅	semidirect
479. C₂×C₄×D₄	C₂²×C₅	semidirect
480. C₂×C₄×D₄	C₂²×C₅	semidirect
481. C₂×C₄×D₄	C₂²×C₅	semidirect
482. C₂×C₄×D₄	C₂²×C₅	semidirect
483. C₂×C₄×D₄	C₂²×C₅	semidirect
484. C₂×C₄×D₄	C₂²×C₅	semidirect
485. C₂×C₄×D₄	C₂²×C₅	semidirect
486. C₂×C₄×D₄	C₂²×C₅	semidirect
487. C₂×C₄×D₄	C₂²×C₅	semidirect
488. C₂×C₄×D₄	C₂²×C₅	semidirect
489. C₂×C₄×D₄	C₂²×C₅	semidirect
490. C₂×#117	C₂²×C₅	semidirect
491. C₂×#117	C₂²×C₅	semidirect
492. C₂²×C₄⋊C₄	C₂²×C₅	semidirect
493. C₂²×C₂²⋊C₄	C₂²×C₅	semidirect
494. C₂²×C₂²⋊C₄	C₂²×C₅	semidirect
495. C₂²×C₂²⋊C₄	C₂²×C₅	semidirect
496. C₂²×C₂²⋊C₄	C₂²×C₅	semidirect
497. C₂²×C₂²⋊C₄	C₂²×C₅	semidirect
498. C₂²×C₄²	C₂²×C₅	semidirect
499. #390	C₂²×C₅	semidirect
500. #390	C₂²×C₅	semidirect
501. #390	C₂²×C₅	semidirect
502. #390	C₂²×C₅	semidirect
503. #390	C₂²×C₅	semidirect
504. #390	C₂²×C₅	semidirect
505. #390	C₂²×C₅	semidirect
506. #389	C₂²×C₅	semidirect
507. #389	C₂²×C₅	semidirect
508. #388	C₂²×C₅	semidirect
509. #388	C₂²×C₅	semidirect
510. #388	C₂²×C₅	semidirect
511. #388	C₂²×C₅	semidirect
512. #388	C₂²×C₅	semidirect
513. #388	C₂²×C₅	semidirect
514. #388	C₂²×C₅	semidirect
515. #387	C₂²×C₅	semidirect
516. #387	C₂²×C₅	semidirect
517. #387	C₂²×C₅	semidirect
521. #386	C₂²×C₅	semidirect
522. #386	C₂²×C₅	semidirect
523. #386	C₂²×C₅	semidirect
524. #386	C₂²×C₅	semidirect
525. #386	C₂²×C₅	semidirect
526. #386	C₂²×C₅	semidirect
527. #386	C₂²×C₅	semidirect
528. #386	C₂²×C₅	semidirect
529. #386	C₂²×C₅	semidirect
530. #386	C₂²×C₅	semidirect
531. #386	C₂²×C₅	semidirect
532. #386	C₂²×C₅	semidirect
533. #386	C₂²×C₅	semidirect
534. #386	C₂²×C₅	semidirect
535. #385	C₂²×C₅	semidirect
536. #385	C₂²×C₅	semidirect
537. #385	C₂²×C₅	semidirect
538. #385	C₂²×C₅	semidirect
539. #385	C₂²×C₅	semidirect
540. #385	C₂²×C₅	semidirect
541. #382	C₂²×C₅	semidirect
542. #380	C₂²×C₅	semidirect
543. #380	C₂²×C₅	semidirect
544. #380	C₂²×C₅	semidirect
545. #379	C₂²×C₅	semidirect
546. #379	C₂²×C₅	semidirect
547. C₄×C₄⋊C₄	C₂²×C₅	semidirect
548. C₄×C₄⋊C₄	C₂²×C₅	semidirect
549. C₄×C₄⋊C₄	C₂²×C₅	semidirect
550. C₄×C₄⋊C₄	C₂²×C₅	semidirect
551. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
552. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
553. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
554. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
555. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
556. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
557. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
558. C₄×C₂²⋊C₄	C₂²×C₅	semidirect
559. #376	C₂²×C₅	semidirect
560. C₂×#95	C₂²×C₅	semidirect
561. C₂×#95	C₂²×C₅	semidirect
621. C₅×D₄	C₄×D₄	semidirect
698. C₂²×D₄	C₂×C₄×C₅	semidirect
699. C₂²×D₄	C₂×C₄×C₅	semidirect
700. C₂²×D₄	C₂×C₄×C₅	semidirect
728. #127	C₂×C₄×C₅	semidirect
729. #121	C₂×C₄×C₅	semidirect
730. #121	C₂×C₄×C₅	semidirect
731. #121	C₂×C₄×C₅	semidirect
732. #120	C₂×C₄×C₅	semidirect
733. #120	C₂×C₄×C₅	semidirect
748. C₄×D₄	C₂×C₄×C₅	semidirect
749. C₄×D₄	C₂×C₄×C₅	semidirect
750. C₄×D₄	C₅×D₄	semidirect
869. C₂²×C₅	#518	semidirect
908. C₂⁴	C₂²×C₄×C₅	semidirect
940. C₂×D₄	C₂²×C₄×C₅	semidirect
941. C₂×D₄	C₂²×C₄×C₅	semidirect
942. C₂×D₄	C₂²×C₄×C₅	semidirect
943. C₂×D₄	C₂²×C₄×C₅	semidirect
944. C₂×D₄	C₂²×C₄×C₅	semidirect
987. C₂²×C₄	C₂²×C₄×C₅	semidirect
988. C₂²×C₄	C₂²×C₄×C₅	semidirect
989. C₂²×C₄	C₂×C₅×D₄	semidirect
1018. C₄⋊C₄	C₂²×C₄×C₅	semidirect
1019. C₄⋊C₄	C₂²×C₄×C₅	semidirect
1020. C₄⋊C₄	C₂×C₅×D₄	semidirect
1046. C₂²⋊C₄	C₂²×C₄×C₅	semidirect
1047. C₂²⋊C₄	C₂²×C₄×C₅	semidirect
1048. C₂²⋊C₄	C₂²×C₄×C₅	semidirect
1049. C₂²⋊C₄	C₂²×C₄×C₅	semidirect
1050. C₂²⋊C₄	C₂×C₅×D₄	semidirect
1060. C₄²	C₂²×C₄×C₅	semidirect
1061. C₄²	C₂×C₅×D₄	semidirect
1133. D₄	C₄×C₅×D₄	semidirect
1202. C₅	#34290	direct (N × H)
1239. C₂²	C₅×#518	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₅×D₄²	2
C₂×C₅×#518	2
C₂²×C₄×C₅×D₄	2
C₅×#2366	2
C₅×#2364	2
C₅×#2363	2
C₅×#2361	2
C₅×#2358	2
C₅×#2352	2
C₅×#2349	2
C₅×D₄×C₂²⋊C₄	2
C₅×#2328	2
C₅×#2325	2
C₅×#2324	2
C₅×#2321	2
C₄×C₅×#121	2
C₄×C₅×#120	2
C₅×#2290	2
C₂×C₅×#386	2
C₅×#2275	2
#34290	5

Subgroups — C5×#34290 #11957010

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#34290 #11957010