Subgroups — C₅×D₃×#577 #14510015

Order 1920.

2920 conjugacy classes of subgroups.

The subgroup lattice has 1020 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×D₃×2₋¹⁺⁴	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×D₃×H(5,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×C₅×#577	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#5837	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#5836	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅×#5778	C₂	1	3	yes	maximal, complemented
7	C₅×D₃×#137	C₂	1	3	yes	maximal, complemented
8	C₅×#5775	C₂	1	3	yes	maximal, complemented
9	C₅×D₃×AGL(1,ℤ/8)	C₂	1	3	yes	maximal, complemented
10	C₅×#5770	C₂	1	3	yes	maximal, complemented
11	C₅×D₃×#135	C₂	1	3	yes	maximal, complemented
12	C₅×#5762	C₂	1	3	yes	maximal, complemented
13	C₂×C₅×D₃×SD₁₆	C₂	1	3	yes	maximal, complemented
14	C₅×#5751	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×D₃×#131	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₅×#577	—	3	1	no	maximal, Hall
17	C₃×C₅×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
18	C₃×C₅×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
19	C₅×#1010	—	2	3	no	—
20	C₅×#1010	C₂²	1	3	yes	complemented
21	C₅×#1010	C₂²	1	1	yes	characteristic, complemented
22	C₅×#1009	—	2	1	no	—
23	C₅×#1009	C₂²	1	3	yes	complemented
24	C₅×#1009	C₂²	1	1	yes	characteristic, complemented
25	C₅×D₃×#41	—	2	1	no	—
26	C₅×D₃×#41	—	2	3	no	—
27	C₅×D₃×#41	C₂²	1	3	yes	—
28	C₅×D₃×#41	C₂²	1	1	yes	characteristic
29	C₅×D₃×#41	C₂²	1	3	yes	complemented
30	C₅×#1007	—	2	1	no	—
31	C₅×#1007	C₂²	1	3	yes	complemented
32	C₂×C₅×D₃×Q₈	—	2	1	no	—
33	C₂×C₅×D₃×Q₈	C₂²	1	3	yes	complemented
34	C₅×#1004	—	2	3	no	—
35	C₅×#1004	C₂²	1	3	yes	complemented
36	C₂×C₅×D₃×D₄	—	2	3	no	—
37	C₂×C₅×D₃×D₄	C₂²	1	3	yes	—
38	C₃×C₅×#137	C₂²	1	3	yes	complemented
39	C₃×C₅×AGL(1,ℤ/8)	C₂²	1	3	yes	complemented
40	C₃×C₅×#135	C₂²	1	3	yes	complemented
41	C₂×C₃×C₅×SD₁₆	C₂²	1	3	yes	complemented
42	C₃×C₅×#131	C₂²	1	1	yes	characteristic, complemented
43	C₅×#951	C₂²	1	3	yes	complemented
44	C₅×#950	C₂²	1	3	yes	complemented
45	C₅×#950	C₂²	1	3	yes	complemented
46	C₅×#949	C₂²	1	3	yes	complemented
47	C₅×#948	C₂²	1	1	yes	characteristic, complemented
48	C₅×#942	C₂²	1	3	yes	complemented
49	C₂×C₅×#215	C₂²	1	3	yes	complemented
50	C₂×C₅×#214	C₂²	1	3	yes	complemented
51	C₅×#932	C₂²	1	3	yes	complemented
52	C₅×#919	C₂²	1	3	yes	complemented
53	C₅×#918	C₂²	1	6	yes	complemented
54	C₅×D₃×Q₁₆	C₂²	1	3	yes	complemented
55	C₅×#916	C₂²	1	3	yes	complemented
56	C₅×#916	C₂²	1	3	yes	complemented
57	C₅×#915	C₂²	1	6	yes	complemented
58	C₅×#914	C₂²	1	6	yes	complemented
59	C₅×D₃×SD₁₆	C₂²	1	3	yes	complemented
60	C₅×D₃×SD₁₆	C₂²	1	6	yes	complemented
61	C₅×D₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
62	C₅×D₃×SD₁₆	C₂²	1	6	yes	complemented
63	C₅×D₃×SD₁₆	C₂²	1	6	yes	complemented
64	C₅×#912	C₂²	1	3	yes	complemented
65	C₅×#911	C₂²	1	6	yes	complemented
66	C₅×D₃×D₈	C₂²	1	3	yes	complemented
67	C₅×#909	C₂²	1	3	yes	complemented
68	C₅×#908	C₂²	1	3	yes	complemented
69	C₅×#907	C₂²	1	3	yes	complemented
70	C₅×D₃×M₁₆	C₂²	1	3	yes	complemented
71	C₅×#904	C₂²	1	3	yes	complemented
72	C₂×C₅×#204	C₂²	1	3	yes	complemented
73	C₅×#901	C₂²	1	3	yes	complemented
74	C₂×C₅×D₃×C₈	C₂²	1	3	yes	complemented
75	D₃×#577	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
76	C₂×C₅×2₋¹⁺⁴	—	3	1	no	—
77	C₂×C₅×H(5,𝔽₂)	—	3	1	no	—
78	C₅×#577	—	3	1	no	—
79	C₅×#577	—	3	1	no	—
80	C₅×#577	—	3	3	no	—
81	C₅×#577	—	3	3	no	—
82	C₅×#577	—	3	3	no	—
83	C₅×#577	—	3	3	no	—
84	C₅×#577	—	3	1	no	—
85	C₅×#577	D₃	1	1	yes	characteristic, direct product factor
86	C₂×C₅×#137	—	3	3	no	—
87	C₂×C₅×AGL(1,ℤ/8)	—	3	3	no	—
88	C₂×C₅×#135	—	3	3	no	—
89	C₂²×C₅×SD₁₆	—	3	3	no	—
90	C₂×C₅×#131	—	3	1	no	—
91	C₂³×C₅×D₃	—	2	3	no	—
92	C₃×C₅×#41	—	2	1	no	—
93	C₃×C₅×#41	—	2	3	no	—
94	C₃×C₅×#41	C₂³	1	3	yes	—
95	C₃×C₅×#41	C₂³	1	1	yes	characteristic
96	C₃×C₅×#41	C₂³	1	3	yes	complemented
97	C₂×C₃×C₅×Q₈	—	2	1	no	—
98	C₂×C₃×C₅×Q₈	C₂³	1	3	yes	complemented
99	C₂×C₃×C₅×D₄	—	2	3	no	—
100	C₂×C₃×C₅×D₄	C₂³	1	3	yes	—
101	C₂×C₅×#67	—	2	6	no	—
102	C₂×C₅×#67	—	2	3	no	—
103	C₅×#239	—	2	1	no	—
104	C₅×#239	—	2	3	no	—
105	C₅×#239	D₄	1	1	yes	characteristic
106	C₅×#239	C₂³	1	3	yes	—
107	C₅×#239	C₂³	1	3	yes	complemented
108	C₅×D₃×Q₈	—	2	1	no	—
109	C₅×D₃×Q₈	—	2	3	no	—
110	C₅×D₃×Q₈	—	2	3	no	—
111	C₅×D₃×Q₈	—	2	3	no	—
112	C₅×D₃×Q₈	D₄	1	1	yes	characteristic
113	C₅×D₃×Q₈	C₂³	1	3	yes	—
114	C₅×D₃×Q₈	C₂³	1	1	yes	characteristic
115	C₅×D₃×Q₈	C₂³	1	6	yes	complemented
116	C₅×#237	—	2	3	no	—
117	C₅×#237	—	2	6	no	—
118	C₅×#237	—	2	3	no	—
119	C₅×#237	—	2	3	no	—
120	C₅×#237	—	2	3	no	—
121	C₅×#237	D₄	1	3	yes	—
122	C₅×#237	C₂³	1	3	yes	—
123	C₅×#237	C₂³	1	3	yes	complemented
124	C₅×D₃×D₄	—	2	3	no	—
125	C₅×D₃×D₄	—	2	3	no	—
126	C₅×D₃×D₄	—	2	3	no	—
127	C₅×D₃×D₄	—	2	6	no	—
128	C₅×D₃×D₄	—	2	3	no	—
129	C₅×D₃×D₄	—	2	3	no	—
130	C₅×D₃×D₄	—	2	3	no	—
131	C₅×D₃×D₄	D₄	1	3	yes	—
132	C₅×D₃×D₄	C₂³	1	1	yes	characteristic
133	C₅×D₃×D₄	C₂³	1	3	yes	—
134	C₅×D₃×D₄	C₂³	1	6	yes	—
135	C₅×#235	—	2	6	no	—
136	C₅×#235	—	2	3	no	—
137	C₅×#235	—	2	3	no	—
138	C₅×#235	—	2	3	no	—
139	C₅×#235	—	2	3	no	—
140	C₅×#235	C₂³	1	3	yes	—
141	C₅×#235	C₂³	1	3	yes	—
142	C₅×#235	C₂³	1	3	yes	complemented
143	C₂×C₅×D₁₂	—	2	3	no	—
144	C₂×C₅×D₁₂	C₂³	1	3	yes	—
145	C₂×C₄×C₅×D₃	—	2	3	no	—
146	C₂×C₄×C₅×D₃	—	2	3	no	—
147	C₂×C₄×C₅×D₃	—	2	3	no	—
148	C₂×C₄×C₅×D₃	C₂³	1	3	yes	—
149	C₂×C₅×Dic₆	—	2	3	no	—
150	C₂×C₅×Dic₆	—	2	3	no	—
151	C₂×C₅×Dic₆	C₂³	1	3	yes	complemented
152	C₃×C₅×Q₁₆	C₂³	1	3	yes	complemented
153	C₃×C₅×SD₁₆	C₂³	1	3	yes	complemented
154	C₃×C₅×SD₁₆	C₂³	1	6	yes	complemented
155	C₃×C₅×SD₁₆	C₂³	1	1	yes	characteristic, complemented
156	C₃×C₅×D₈	C₂³	1	3	yes	complemented
157	C₃×C₅×M₁₆	C₂³	1	3	yes	complemented
158	C₂×C₃×C₅×C₈	C₂³	1	3	yes	complemented
159	C₅×#216	C₂³	1	3	yes	complemented
160	C₅×#216	C₂³	1	3	yes	complemented
161	C₅×#215	C₂³	1	3	yes	complemented
162	C₅×#215	C₂³	1	6	yes	complemented
163	C₅×#215	C₂³	1	1	yes	characteristic, complemented
164	C₅×#214	C₂³	1	6	yes	complemented
165	C₅×#214	C₂³	1	1	yes	characteristic, complemented
166	C₅×#214	C₂³	1	3	yes	complemented
167	C₅×#213	C₂³	1	3	yes	complemented
168	C₅×#213	C₂³	1	3	yes	complemented
169	C₅×#208	C₂³	1	3	yes	complemented
170	C₂×C₅×C₃⋊C₈	C₂³	1	3	yes	complemented
171	C₅×Dic₁₂	C₂³	1	3	yes	complemented
172	C₅×D₂₄	C₂³	1	3	yes	complemented
173	C₅×#204	C₂³	1	3	yes	complemented
174	C₅×#204	C₂³	1	6	yes	complemented
175	C₅×#204	C₂³	1	1	yes	characteristic, complemented
176	C₅×ΓL(1,𝔽₂₅)	C₂³	1	6	yes	complemented
177	C₅×D₃×C₈	C₂³	1	1	yes	characteristic
178	C₅×D₃×C₈	C₂³	1	3	yes	—
179	C₅×D₃×C₈	C₂³	1	3	yes	complemented
180	C₅×D₃×C₈	C₂³	1	3	yes	complemented
181	D₃×2₋¹⁺⁴	C₂×C₅	1	1	yes	characteristic, complemented
182	D₃×H(5,𝔽₂)	C₂×C₅	1	1	yes	characteristic, complemented
183	C₃×#577	C₂×C₅	1	1	yes	characteristic, complemented
184	#5837	C₂×C₅	1	1	yes	characteristic, complemented
185	#5836	C₂×C₅	1	1	yes	characteristic, complemented
186	#5778	C₂×C₅	1	3	yes	complemented
187	D₃×#137	C₂×C₅	1	3	yes	complemented
188	#5775	C₂×C₅	1	3	yes	complemented
189	D₃×AGL(1,ℤ/8)	C₂×C₅	1	3	yes	complemented
190	#5770	C₂×C₅	1	3	yes	complemented
191	D₃×#135	C₂×C₅	1	3	yes	complemented
192	#5762	C₂×C₅	1	3	yes	complemented
193	C₂×D₃×SD₁₆	C₂×C₅	1	3	yes	complemented
194	#5751	C₂×C₅	1	1	yes	characteristic, complemented
195	D₃×#131	C₂×C₅	1	1	yes	characteristic, complemented
196	C₅×2₋¹⁺⁴	—	3	1	no	—
197	C₅×2₋¹⁺⁴	—	3	3	no	—
198	C₅×2₋¹⁺⁴	—	3	3	no	—
199	C₅×2₋¹⁺⁴	—	6	1	no	—
200	C₅×2₋¹⁺⁴	—	6	3	no	—
201	C₅×2₋¹⁺⁴	C₂×D₃	1	1	yes	characteristic, complemented
202	C₅×H(5,𝔽₂)	—	3	3	no	—
203	C₅×H(5,𝔽₂)	—	3	1	no	—
204	C₅×H(5,𝔽₂)	—	3	3	no	—
205	C₅×H(5,𝔽₂)	—	6	3	no	—
206	C₅×H(5,𝔽₂)	—	6	1	no	—
207	C₅×H(5,𝔽₂)	C₂×D₃	1	1	yes	characteristic, complemented
208	C₂×C₅×#41	—	3	1	no	—
209	C₂×C₅×#41	—	3	3	no	—
210	C₂×C₅×#41	—	3	3	no	—
211	C₂×C₅×#41	—	6	3	no	—
212	C₂×C₅×#41	—	6	1	no	—
213	C₂²×C₅×Q₈	—	3	3	no	—
214	C₂²×C₅×Q₈	—	6	1	no	—
215	C₂²×C₅×D₄	—	3	3	no	—
216	C₂²×C₅×D₄	—	6	3	no	—
217	C₅×#137	—	3	3	no	—
218	C₅×#137	—	3	3	no	—
219	C₅×#137	—	3	6	no	—
220	C₅×#137	—	3	6	no	—
221	C₅×#137	—	3	3	no	—
222	C₅×#137	C₂×D₃	1	3	yes	complemented
223	C₅×AGL(1,ℤ/8)	—	3	3	no	—
224	C₅×AGL(1,ℤ/8)	—	3	3	no	—
225	C₅×AGL(1,ℤ/8)	—	3	6	no	—
226	C₅×AGL(1,ℤ/8)	—	3	6	no	—
227	C₅×AGL(1,ℤ/8)	—	3	3	no	—
228	C₅×AGL(1,ℤ/8)	C₂×D₃	1	3	yes	complemented
229	C₅×#135	—	3	3	no	—
230	C₅×#135	—	3	3	no	—
231	C₅×#135	—	3	3	no	—
232	C₅×#135	—	3	3	no	—
233	C₅×#135	—	3	3	no	—
234	C₅×#135	—	3	3	no	—
235	C₅×#135	—	3	3	no	—
236	C₅×#135	C₂×D₃	1	3	yes	complemented
237	C₂×C₅×Q₁₆	—	3	3	no	—
238	C₂×C₅×SD₁₆	—	3	3	no	—
239	C₂×C₅×SD₁₆	—	3	3	no	—
240	C₂×C₅×SD₁₆	—	3	3	no	—
241	C₂×C₅×SD₁₆	—	3	6	no	—
242	C₂×C₅×SD₁₆	—	3	6	no	—
243	C₂×C₅×SD₁₆	—	3	6	no	—
244	C₂×C₅×SD₁₆	—	3	1	no	—
245	C₂×C₅×SD₁₆	—	3	3	no	—
246	C₂×C₅×SD₁₆	C₂×D₃	1	3	yes	complemented
247	C₂×C₅×D₈	—	3	3	no	—
248	C₅×#131	—	3	1	no	—
249	C₅×#131	—	3	3	no	—
250	C₅×#131	—	3	3	no	—
251	C₅×#131	C₂×D₃	1	1	yes	characteristic, complemented
252	C₂×C₅×M₁₆	—	3	3	no	—
253	C₂²×C₅×C₈	—	3	3	no	—
254	C₂×#577	—	3	1	no	Sylow
255	C₂³×C₃×C₅	—	2	3	no	—
256	C₂²×C₅×D₃	—	2	3	no	—
257	C₂²×C₅×D₃	—	2	1	no	—
258	C₂²×C₅×D₃	—	2	3	no	—
259	C₂²×C₅×D₃	—	2	6	no	—
260	C₂²×C₅×D₃	—	8	6	no	—
261	C₂²×C₅×D₃	C₂×D₄	1	3	yes	—
262	C₃×C₅×Q₈	—	2	3	no	—
263	C₃×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
264	C₃×C₅×Q₈	C₂⁴	1	3	yes	—
265	C₃×C₅×Q₈	C₂⁴	1	1	yes	characteristic
266	C₃×C₅×D₄	—	2	3	no	—
267	C₃×C₅×D₄	—	2	3	no	—
268	C₃×C₅×D₄	—	2	3	no	—
269	C₃×C₅×D₄	C₂×D₄	1	3	yes	—
270	C₃×C₅×D₄	C₂⁴	1	1	yes	characteristic
271	C₃×C₅×D₄	C₂⁴	1	3	yes	—
272	C₂×C₃×C₄×C₅	—	2	3	no	—
273	C₂×C₃×C₄×C₅	—	2	3	no	—
274	C₂×C₃×C₄×C₅	—	2	3	no	—
275	C₂×C₃×C₄×C₅	C₂⁴	1	3	yes	—
276	C₅×#67	—	2	3	no	—
277	C₅×#67	—	2	3	no	—
278	C₅×#67	—	2	3	no	—
279	C₅×#67	—	2	3	no	—
280	C₅×#67	—	2	1	no	—
281	C₅×#67	—	2	3	no	—
282	C₅×#67	—	2	6	no	—
283	C₅×#67	C₂×D₄	1	6	yes	—
284	C₂×C₅×Dic₃	—	2	3	no	—
285	C₂×C₅×Dic₃	—	2	3	no	—
286	C₂×C₅×Dic₃	—	2	3	no	—
287	C₂×C₅×Dic₃	C₂×D₄	1	3	yes	—
288	C₅×D₁₂	—	2	3	no	—
289	C₅×D₁₂	—	2	3	no	—
290	C₅×D₁₂	—	2	3	no	—
291	C₅×D₁₂	C₂×D₄	1	3	yes	—
292	C₅×D₁₂	C₂⁴	1	3	yes	—
293	C₅×D₁₂	C₂⁴	1	1	yes	characteristic
294	C₄×C₅×D₃	—	2	1	no	—
295	C₄×C₅×D₃	—	2	3	no	—
296	C₄×C₅×D₃	—	2	6	no	—
297	C₄×C₅×D₃	—	2	3	no	—
298	C₄×C₅×D₃	—	2	3	no	—
299	C₄×C₅×D₃	—	2	3	no	—
300	C₄×C₅×D₃	—	2	3	no	—
301	C₄×C₅×D₃	C₂×D₄	1	3	yes	—
302	C₄×C₅×D₃	C₂×D₄	1	3	yes	—
303	C₄×C₅×D₃	C₂⁴	1	1	yes	characteristic
304	C₄×C₅×D₃	C₂⁴	1	3	yes	—
305	C₅×Dic₆	—	2	3	no	—
306	C₅×Dic₆	—	2	3	no	—
307	C₅×Dic₆	—	2	6	no	—
308	C₅×Dic₆	—	2	1	no	—
309	C₅×Dic₆	C₂×D₄	1	3	yes	—
310	C₅×Dic₆	C₂⁴	1	3	yes	—
311	C₅×Dic₆	C₂⁴	1	1	yes	characteristic
312	C₃×C₅×C₈	C₂⁴	1	1	yes	characteristic
313	C₃×C₅×C₈	C₂⁴	1	3	yes	—
314	C₅×C₃⋊C₈	C₂⁴	1	1	yes	characteristic
315	C₅×C₃⋊C₈	C₂⁴	1	3	yes	—
316	C₃×2₋¹⁺⁴	C₂²×C₅	1	1	yes	characteristic, complemented
317	C₃×H(5,𝔽₂)	C₂²×C₅	1	1	yes	characteristic, complemented
318	#1010	—	2	3	no	—
319	#1010	C₂²×C₅	1	3	yes	complemented
320	#1010	C₂²×C₅	1	1	yes	characteristic, complemented
321	#1009	—	2	1	no	—
322	#1009	C₂²×C₅	1	3	yes	complemented
323	#1009	C₂²×C₅	1	1	yes	characteristic, complemented
324	D₃×#41	—	2	1	no	—
325	D₃×#41	—	2	3	no	—
326	D₃×#41	C₂²×C₅	1	3	yes	—
327	D₃×#41	C₂²×C₅	1	1	yes	characteristic
328	D₃×#41	C₂²×C₅	1	3	yes	complemented
329	#1007	—	2	1	no	—
330	#1007	C₂²×C₅	1	3	yes	complemented
331	C₂×D₃×Q₈	—	2	1	no	—
332	C₂×D₃×Q₈	C₂²×C₅	1	3	yes	complemented
333	#1004	—	2	3	no	—
334	#1004	C₂²×C₅	1	3	yes	complemented
335	C₂×D₃×D₄	—	2	3	no	—
336	C₂×D₃×D₄	C₂²×C₅	1	3	yes	—
337	C₃×#137	C₂²×C₅	1	3	yes	complemented
338	C₃×AGL(1,ℤ/8)	C₂²×C₅	1	3	yes	complemented
339	C₃×#135	C₂²×C₅	1	3	yes	complemented
340	C₂×C₃×SD₁₆	C₂²×C₅	1	3	yes	complemented
341	C₃×#131	C₂²×C₅	1	1	yes	characteristic, complemented
342	#951	C₂²×C₅	1	3	yes	complemented
343	#950	C₂²×C₅	1	3	yes	complemented
344	#950	C₂²×C₅	1	3	yes	complemented
345	#949	C₂²×C₅	1	3	yes	complemented
346	#948	C₂²×C₅	1	1	yes	characteristic, complemented
347	#942	C₂²×C₅	1	3	yes	complemented
348	C₂×#215	C₂²×C₅	1	3	yes	complemented
349	C₂×#214	C₂²×C₅	1	3	yes	complemented
350	#932	C₂²×C₅	1	3	yes	complemented
351	#919	C₂²×C₅	1	3	yes	complemented
352	#918	C₂²×C₅	1	6	yes	complemented
353	D₃×Q₁₆	C₂²×C₅	1	3	yes	complemented
354	#916	C₂²×C₅	1	3	yes	complemented
355	#916	C₂²×C₅	1	3	yes	complemented
356	#915	C₂²×C₅	1	6	yes	complemented
357	#914	C₂²×C₅	1	6	yes	complemented
358	D₃×SD₁₆	C₂²×C₅	1	3	yes	complemented
359	D₃×SD₁₆	C₂²×C₅	1	6	yes	complemented
360	D₃×SD₁₆	C₂²×C₅	1	1	yes	characteristic, complemented
361	D₃×SD₁₆	C₂²×C₅	1	6	yes	complemented
362	D₃×SD₁₆	C₂²×C₅	1	6	yes	complemented
363	#912	C₂²×C₅	1	3	yes	complemented
364	#911	C₂²×C₅	1	6	yes	complemented
365	D₃×D₈	C₂²×C₅	1	3	yes	complemented
366	#909	C₂²×C₅	1	3	yes	complemented
367	#908	C₂²×C₅	1	3	yes	complemented
368	#907	C₂²×C₅	1	3	yes	complemented
369	D₃×M₁₆	C₂²×C₅	1	3	yes	complemented
370	#904	C₂²×C₅	1	3	yes	complemented
371	C₂×#204	C₂²×C₅	1	3	yes	complemented
372	#901	C₂²×C₅	1	3	yes	complemented
373	C₂×D₃×C₈	C₂²×C₅	1	3	yes	complemented
374	C₂⁴×C₅	—	6	3	no	—
375	C₅×#41	—	2	1	no	—
376	C₅×#41	—	2	3	no	—
377	C₅×#41	—	3	1	no	—
378	C₅×#41	—	3	3	no	—
379	C₅×#41	—	3	3	no	—
380	C₅×#41	—	3	3	no	—
381	C₅×#41	—	3	3	no	—
382	C₅×#41	—	3	3	no	—
383	C₅×#41	—	3	3	no	—
384	C₅×#41	—	3	3	no	—
385	C₅×#41	—	3	3	no	—
386	C₅×#41	—	6	3	no	—
387	C₅×#41	—	6	3	no	—
388	C₅×#41	—	6	6	no	—
389	C₅×#41	—	6	3	no	—
390	C₅×#41	—	6	3	no	—
391	C₅×#41	—	6	3	no	—
392	C₅×#41	—	6	3	no	—
393	C₅×#41	—	6	6	no	—
394	C₅×#41	—	6	3	no	—
395	C₅×#41	—	6	3	no	—
396	C₅×#41	—	6	1	no	—
397	C₅×#41	—	6	3	no	—
398	C₅×#41	C₂²×D₃	1	3	yes	—
399	C₅×#41	C₂²×D₃	1	1	yes	characteristic
400	C₅×#41	C₂²×D₃	1	3	yes	complemented
401	C₂×C₅×Q₈	—	2	1	no	—
402	C₂×C₅×Q₈	—	3	1	no	—
403	C₂×C₅×Q₈	—	3	3	no	—
404	C₂×C₅×Q₈	—	3	6	no	—
405	C₂×C₅×Q₈	—	3	1	no	—
406	C₂×C₅×Q₈	—	3	3	no	—
407	C₂×C₅×Q₈	—	6	3	no	—
408	C₂×C₅×Q₈	—	6	3	no	—
409	C₂×C₅×Q₈	—	6	3	no	—
410	C₂×C₅×Q₈	—	6	3	no	—
411	C₂×C₅×Q₈	—	6	3	no	—
412	C₂×C₅×Q₈	—	6	1	no	—
413	C₂×C₅×Q₈	C₂²×D₃	1	3	yes	complemented
414	C₂×C₅×D₄	—	2	3	no	—
415	C₂×C₅×D₄	—	3	3	no	—
416	C₂×C₅×D₄	—	3	1	no	—
417	C₂×C₅×D₄	—	3	3	no	—
418	C₂×C₅×D₄	—	3	6	no	—
419	C₂×C₅×D₄	—	3	3	no	—
420	C₂×C₅×D₄	—	6	3	no	—
421	C₂×C₅×D₄	—	6	3	no	—
422	C₂×C₅×D₄	—	6	3	no	—
423	C₂×C₅×D₄	—	6	3	no	—
424	C₂×C₅×D₄	—	6	6	no	—
425	C₂×C₅×D₄	—	6	3	no	—
426	C₂×C₅×D₄	—	6	3	no	—
427	C₂×C₅×D₄	—	6	3	no	—
428	C₂×C₅×D₄	—	6	6	no	—
429	C₂×C₅×D₄	—	6	3	no	—
430	C₂×C₅×D₄	C₂²×D₃	1	3	yes	—
431	C₂²×C₄×C₅	—	3	3	no	—
432	C₂²×C₄×C₅	—	6	3	no	—
433	C₂²×C₄×C₅	—	6	3	no	—
434	C₂²×C₄×C₅	—	6	3	no	—
435	C₅×Q₁₆	—	3	3	no	—
436	C₅×Q₁₆	—	3	3	no	—
437	C₅×Q₁₆	—	3	3	no	—
438	C₅×Q₁₆	C₂²×D₃	1	3	yes	complemented
439	C₅×SD₁₆	—	3	3	no	—
440	C₅×SD₁₆	—	3	6	no	—
441	C₅×SD₁₆	—	3	1	no	—
442	C₅×SD₁₆	—	3	3	no	—
443	C₅×SD₁₆	—	3	6	no	—
444	C₅×SD₁₆	—	3	1	no	—
445	C₅×SD₁₆	—	3	3	no	—
446	C₅×SD₁₆	—	3	6	no	—
447	C₅×SD₁₆	—	3	1	no	—
448	C₅×SD₁₆	C₂²×D₃	1	3	yes	complemented
449	C₅×SD₁₆	C₂²×D₃	1	6	yes	complemented
450	C₅×SD₁₆	C₂²×D₃	1	1	yes	characteristic, complemented
451	C₅×D₈	—	3	3	no	—
452	C₅×D₈	—	3	3	no	—
453	C₅×D₈	—	3	3	no	—
454	C₅×D₈	C₂²×D₃	1	3	yes	complemented
455	C₅×M₁₆	—	3	3	no	—
456	C₅×M₁₆	—	3	6	no	—
457	C₅×M₁₆	C₂²×D₃	1	3	yes	complemented
458	C₂×C₅×C₈	—	3	3	no	—
459	C₂×C₅×C₈	—	3	1	no	—
460	C₂×C₅×C₈	—	3	3	no	—
461	C₂×C₅×C₈	—	3	3	no	—
462	C₂×C₅×C₈	—	3	3	no	—
463	C₂×C₅×C₈	C₂²×D₃	1	3	yes	complemented
464	C₂×2₋¹⁺⁴	—	3	1	no	—
465	C₂×H(5,𝔽₂)	—	3	1	no	—
466	#577	—	3	1	no	—
467	#577	—	3	1	no	—
468	#577	—	3	3	no	—
469	#577	—	3	3	no	—
470	#577	—	3	3	no	—
471	#577	—	3	3	no	—
472	#577	—	3	1	no	—
473	#577	C₅×D₃	1	1	yes	characteristic, direct product factor
474	C₂×#137	—	3	3	no	—
475	C₂×AGL(1,ℤ/8)	—	3	3	no	—
476	C₂×#135	—	3	3	no	—
477	C₂²×SD₁₆	—	3	3	no	—
478	C₂×#131	—	3	1	no	—
479	C₂²×C₃×C₅	—	2	1	no	—
480	C₂²×C₃×C₅	—	2	3	no	—
481	C₂²×C₃×C₅	—	8	3	no	—
482	C₂²×C₃×C₅	C₂²×D₄	1	3	yes	—
483	C₂×C₅×D₃	—	2	6	no	—
484	C₂×C₅×D₃	—	2	1	no	—
485	C₂×C₅×D₃	—	2	3	no	—
486	C₂×C₅×D₃	—	4	2	no	—
487	C₂×C₅×D₃	—	4	6	no	—
488	C₂×C₅×D₃	—	8	6	no	—
489	C₂×C₅×D₃	—	8	3	no	—
490	C₂×C₅×D₃	C₂²×D₄	1	3	yes	—
491	C₂×C₅×D₃	C₂²×D₄	1	1	yes	characteristic
492	C₃×C₄×C₅	—	2	3	no	—
493	C₃×C₄×C₅	—	2	1	no	—
494	C₃×C₄×C₅	C₂²×D₄	1	3	yes	—
495	C₃×C₄×C₅	C₂⁵	1	1	yes	characteristic
496	C₅×Dic₃	—	2	3	no	—
497	C₅×Dic₃	—	2	1	no	—
498	C₅×Dic₃	C₂²×D₄	1	1	yes	characteristic
499	C₅×Dic₃	C₂²×D₄	1	3	yes	—
500	C₂³×D₃	—	2	3	no	—
501	C₃×#41	—	2	1	no	—
502	C₃×#41	—	2	3	no	—
503	C₃×#41	C₂³×C₅	1	3	yes	—
504	C₃×#41	C₂³×C₅	1	1	yes	characteristic
505	C₃×#41	C₂³×C₅	1	3	yes	complemented
506	C₂×C₃×Q₈	—	2	1	no	—
507	C₂×C₃×Q₈	C₂³×C₅	1	3	yes	complemented
508	C₂×C₃×D₄	—	2	3	no	—
509	C₂×C₃×D₄	C₂³×C₅	1	3	yes	—
510	C₂×#67	—	2	6	no	—
511	C₂×#67	—	2	3	no	—
512	#239	—	2	1	no	—
513	#239	—	2	3	no	—
514	#239	C₅×D₄	1	1	yes	characteristic
515	#239	C₂³×C₅	1	3	yes	—
516	#239	C₂³×C₅	1	3	yes	complemented
517	D₃×Q₈	—	2	1	no	—
518	D₃×Q₈	—	2	3	no	—
519	D₃×Q₈	—	2	3	no	—
520	D₃×Q₈	—	2	3	no	—
521	D₃×Q₈	C₅×D₄	1	1	yes	characteristic
522	D₃×Q₈	C₂³×C₅	1	3	yes	—
523	D₃×Q₈	C₂³×C₅	1	1	yes	characteristic
524	D₃×Q₈	C₂³×C₅	1	6	yes	complemented
525	#237	—	2	3	no	—
526	#237	—	2	6	no	—
527	#237	—	2	3	no	—
528	#237	—	2	3	no	—
529	#237	—	2	3	no	—
530	#237	C₅×D₄	1	3	yes	—
531	#237	C₂³×C₅	1	3	yes	—
532	#237	C₂³×C₅	1	3	yes	complemented
533	D₃×D₄	—	2	3	no	—
534	D₃×D₄	—	2	3	no	—
535	D₃×D₄	—	2	3	no	—
536	D₃×D₄	—	2	6	no	—
537	D₃×D₄	—	2	3	no	—
538	D₃×D₄	—	2	3	no	—
539	D₃×D₄	—	2	3	no	—
540	D₃×D₄	C₅×D₄	1	3	yes	—
541	D₃×D₄	C₂³×C₅	1	1	yes	characteristic
542	D₃×D₄	C₂³×C₅	1	3	yes	—
543	D₃×D₄	C₂³×C₅	1	6	yes	—
544	#235	—	2	6	no	—
545	#235	—	2	3	no	—
546	#235	—	2	3	no	—
547	#235	—	2	3	no	—
548	#235	—	2	3	no	—
549	#235	C₂³×C₅	1	3	yes	—
550	#235	C₂³×C₅	1	3	yes	—
551	#235	C₂³×C₅	1	3	yes	complemented
552	C₂×D₁₂	—	2	3	no	—
553	C₂×D₁₂	C₂³×C₅	1	3	yes	—
554	C₂×C₄×D₃	—	2	3	no	—
555	C₂×C₄×D₃	—	2	3	no	—
556	C₂×C₄×D₃	—	2	3	no	—
557	C₂×C₄×D₃	C₂³×C₅	1	3	yes	—
558	C₂×Dic₆	—	2	3	no	—
559	C₂×Dic₆	—	2	3	no	—
560	C₂×Dic₆	C₂³×C₅	1	3	yes	complemented
561	C₃×Q₁₆	C₂³×C₅	1	3	yes	complemented
562	C₃×SD₁₆	C₂³×C₅	1	3	yes	complemented
563	C₃×SD₁₆	C₂³×C₅	1	6	yes	complemented
564	C₃×SD₁₆	C₂³×C₅	1	1	yes	characteristic, complemented
565	C₃×D₈	C₂³×C₅	1	3	yes	complemented
566	C₃×M₁₆	C₂³×C₅	1	3	yes	complemented
567	C₂×C₃×C₈	C₂³×C₅	1	3	yes	complemented
568	#216	C₂³×C₅	1	3	yes	complemented
569	#216	C₂³×C₅	1	3	yes	complemented
570	#215	C₂³×C₅	1	3	yes	complemented
571	#215	C₂³×C₅	1	6	yes	complemented
572	#215	C₂³×C₅	1	1	yes	characteristic, complemented
573	#214	C₂³×C₅	1	6	yes	complemented
574	#214	C₂³×C₅	1	1	yes	characteristic, complemented
575	#214	C₂³×C₅	1	3	yes	complemented
576	#213	C₂³×C₅	1	3	yes	complemented
577	#213	C₂³×C₅	1	3	yes	complemented
578	#208	C₂³×C₅	1	3	yes	complemented
579	C₂×C₃⋊C₈	C₂³×C₅	1	3	yes	complemented
580	Dic₁₂	C₂³×C₅	1	3	yes	complemented
581	D₂₄	C₂³×C₅	1	3	yes	complemented
582	#204	C₂³×C₅	1	3	yes	complemented
583	#204	C₂³×C₅	1	6	yes	complemented
584	#204	C₂³×C₅	1	1	yes	characteristic, complemented
585	ΓL(1,𝔽₂₅)	C₂³×C₅	1	6	yes	complemented
586	D₃×C₈	C₂³×C₅	1	1	yes	characteristic
587	D₃×C₈	C₂³×C₅	1	3	yes	—
588	D₃×C₈	C₂³×C₅	1	3	yes	complemented
589	D₃×C₈	C₂³×C₅	1	3	yes	complemented
590	C₂³×C₅	—	2	3	no	—
591	C₂³×C₅	—	3	3	no	—
592	C₂³×C₅	—	6	1	no	—
593	C₂³×C₅	—	6	3	no	—
594	C₂³×C₅	—	6	6	no	—
595	C₂³×C₅	—	6	3	no	—
596	C₂³×C₅	—	24	6	no	—
597	C₅×Q₈	—	2	3	no	—
598	C₅×Q₈	—	3	3	no	—
599	C₅×Q₈	—	3	3	no	—
600	C₅×Q₈	—	3	1	no	—
601	C₅×Q₈	—	6	3	no	—
602	C₅×Q₈	—	6	6	no	—
603	C₅×Q₈	—	6	1	no	—
604	C₅×Q₈	—	6	3	no	—
605	C₅×Q₈	D₃×D₄	1	1	yes	characteristic
606	C₅×Q₈	C₂³×D₃	1	3	yes	—
607	C₅×Q₈	C₂³×D₃	1	1	yes	characteristic
608	C₅×D₄	—	2	3	no	—
609	C₅×D₄	—	2	3	no	—
610	C₅×D₄	—	2	3	no	—
611	C₅×D₄	—	3	6	no	—
612	C₅×D₄	—	3	3	no	—
613	C₅×D₄	—	3	1	no	—
614	C₅×D₄	—	3	3	no	—
615	C₅×D₄	—	6	3	no	—
616	C₅×D₄	—	6	3	no	—
617	C₅×D₄	—	6	3	no	—
618	C₅×D₄	—	6	6	no	—
619	C₅×D₄	—	6	1	no	—
620	C₅×D₄	—	6	3	no	—
621	C₅×D₄	—	6	3	no	—
622	C₅×D₄	—	6	3	no	—
623	C₅×D₄	—	6	3	no	—
624	C₅×D₄	—	6	3	no	—
625	C₅×D₄	D₃×D₄	1	3	yes	—
626	C₅×D₄	C₂³×D₃	1	1	yes	characteristic
627	C₅×D₄	C₂³×D₃	1	3	yes	—
628	C₂×C₄×C₅	—	2	3	no	—
629	C₂×C₄×C₅	—	2	3	no	—
630	C₂×C₄×C₅	—	2	3	no	—
631	C₂×C₄×C₅	—	3	3	no	—
632	C₂×C₄×C₅	—	3	3	no	—
633	C₂×C₄×C₅	—	3	3	no	—
634	C₂×C₄×C₅	—	3	1	no	—
635	C₂×C₄×C₅	—	3	3	no	—
636	C₂×C₄×C₅	—	6	3	no	—
637	C₂×C₄×C₅	—	6	3	no	—
638	C₂×C₄×C₅	—	6	1	no	—
639	C₂×C₄×C₅	—	6	3	no	—
640	C₂×C₄×C₅	—	6	6	no	—
641	C₂×C₄×C₅	—	6	3	no	—
642	C₂×C₄×C₅	—	6	3	no	—
643	C₂×C₄×C₅	—	6	3	no	—
644	C₂×C₄×C₅	—	6	3	no	—
645	C₂×C₄×C₅	—	6	3	no	—
646	C₂×C₄×C₅	C₂³×D₃	1	3	yes	—
647	C₅×C₈	—	3	1	no	—
648	C₅×C₈	—	3	3	no	—
649	C₅×C₈	C₂³×D₃	1	1	yes	characteristic
650	C₅×C₈	C₂³×D₃	1	3	yes	—
651	2₋¹⁺⁴	—	3	1	no	—
652	2₋¹⁺⁴	—	3	3	no	—
653	2₋¹⁺⁴	—	3	3	no	—
654	2₋¹⁺⁴	—	6	1	no	—
655	2₋¹⁺⁴	—	6	3	no	—
656	2₋¹⁺⁴	C₂×C₅×D₃	1	1	yes	characteristic, complemented
657	H(5,𝔽₂)	—	3	3	no	—
658	H(5,𝔽₂)	—	3	1	no	—
659	H(5,𝔽₂)	—	3	3	no	—
660	H(5,𝔽₂)	—	6	3	no	—
661	H(5,𝔽₂)	—	6	1	no	—
662	H(5,𝔽₂)	C₂×C₅×D₃	1	1	yes	characteristic, complemented
663	C₂×#41	—	3	1	no	—
664	C₂×#41	—	3	3	no	—
665	C₂×#41	—	3	3	no	—
666	C₂×#41	—	6	3	no	—
667	C₂×#41	—	6	1	no	—
668	C₂²×Q₈	—	3	3	no	—
669	C₂²×Q₈	—	6	1	no	—
670	C₂²×D₄	—	3	3	no	—
671	C₂²×D₄	—	6	3	no	—
672	#137	—	3	3	no	—
673	#137	—	3	3	no	—
674	#137	—	3	6	no	—
675	#137	—	3	6	no	—
676	#137	—	3	3	no	—
677	#137	C₂×C₅×D₃	1	3	yes	complemented
678	AGL(1,ℤ/8)	—	3	3	no	—
679	AGL(1,ℤ/8)	—	3	3	no	—
680	AGL(1,ℤ/8)	—	3	6	no	—
681	AGL(1,ℤ/8)	—	3	6	no	—
682	AGL(1,ℤ/8)	—	3	3	no	—
683	AGL(1,ℤ/8)	C₂×C₅×D₃	1	3	yes	complemented
684	#135	—	3	3	no	—
685	#135	—	3	3	no	—
686	#135	—	3	3	no	—
687	#135	—	3	3	no	—
688	#135	—	3	3	no	—
689	#135	—	3	3	no	—
690	#135	—	3	3	no	—
691	#135	C₂×C₅×D₃	1	3	yes	complemented
692	C₂×Q₁₆	—	3	3	no	—
693	C₂×SD₁₆	—	3	3	no	—
694	C₂×SD₁₆	—	3	3	no	—
695	C₂×SD₁₆	—	3	3	no	—
696	C₂×SD₁₆	—	3	6	no	—
697	C₂×SD₁₆	—	3	6	no	—
698	C₂×SD₁₆	—	3	6	no	—
699	C₂×SD₁₆	—	3	1	no	—
700	C₂×SD₁₆	—	3	3	no	—
701	C₂×SD₁₆	C₂×C₅×D₃	1	3	yes	complemented
702	C₂×D₈	—	3	3	no	—
703	#131	—	3	1	no	—
704	#131	—	3	3	no	—
705	#131	—	3	3	no	—
706	#131	C₂×C₅×D₃	1	1	yes	characteristic, complemented
707	C₂×M₁₆	—	3	3	no	—
708	C₂²×C₈	—	3	3	no	—
709	C₂×C₃×C₅	—	2	3	no	—
710	C₂×C₃×C₅	—	4	3	no	—
711	C₂×C₃×C₅	—	4	1	no	—
712	C₂×C₃×C₅	C₂³×D₄	1	1	yes	characteristic
713	C₅×D₃	—	2	3	no	—
714	C₅×D₃	—	4	1	no	—
715	C₅×D₃	—	4	3	no	—
716	C₅×D₃	#577	1	2	yes	direct product factor
717	C₂³×C₃	—	2	3	no	—
718	C₂²×D₃	—	2	3	no	—
719	C₂²×D₃	—	2	1	no	—
720	C₂²×D₃	—	2	3	no	—
721	C₂²×D₃	—	2	6	no	—
722	C₂²×D₃	—	8	6	no	—
723	C₂²×D₃	C₂×C₅×D₄	1	3	yes	—
724	C₃×Q₈	—	2	3	no	—
725	C₃×Q₈	C₂×C₅×D₄	1	1	yes	characteristic
726	C₃×Q₈	C₂⁴×C₅	1	3	yes	—
727	C₃×Q₈	C₂⁴×C₅	1	1	yes	characteristic
728	C₃×D₄	—	2	3	no	—
729	C₃×D₄	—	2	3	no	—
730	C₃×D₄	—	2	3	no	—
731	C₃×D₄	C₂×C₅×D₄	1	3	yes	—
732	C₃×D₄	C₂⁴×C₅	1	1	yes	characteristic
733	C₃×D₄	C₂⁴×C₅	1	3	yes	—
734	C₂×C₃×C₄	—	2	3	no	—
735	C₂×C₃×C₄	—	2	3	no	—
736	C₂×C₃×C₄	—	2	3	no	—
737	C₂×C₃×C₄	C₂⁴×C₅	1	3	yes	—
738	#67	—	2	3	no	—
739	#67	—	2	3	no	—
740	#67	—	2	3	no	—
741	#67	—	2	3	no	—
742	#67	—	2	1	no	—
743	#67	—	2	3	no	—
744	#67	—	2	6	no	—
745	#67	C₂×C₅×D₄	1	6	yes	—
746	C₂×Dic₃	—	2	3	no	—
747	C₂×Dic₃	—	2	3	no	—
748	C₂×Dic₃	—	2	3	no	—
749	C₂×Dic₃	C₂×C₅×D₄	1	3	yes	—
750	D₁₂	—	2	3	no	—
751	D₁₂	—	2	3	no	—
752	D₁₂	—	2	3	no	—
753	D₁₂	C₂×C₅×D₄	1	3	yes	—
754	D₁₂	C₂⁴×C₅	1	3	yes	—
755	D₁₂	C₂⁴×C₅	1	1	yes	characteristic
756	C₄×D₃	—	2	1	no	—
757	C₄×D₃	—	2	3	no	—
758	C₄×D₃	—	2	6	no	—
759	C₄×D₃	—	2	3	no	—
760	C₄×D₃	—	2	3	no	—
761	C₄×D₃	—	2	3	no	—
762	C₄×D₃	—	2	3	no	—
763	C₄×D₃	C₂×C₅×D₄	1	3	yes	—
764	C₄×D₃	C₂×C₅×D₄	1	3	yes	—
765	C₄×D₃	C₂⁴×C₅	1	1	yes	characteristic
766	C₄×D₃	C₂⁴×C₅	1	3	yes	—
767	Dic₆	—	2	3	no	—
768	Dic₆	—	2	3	no	—
769	Dic₆	—	2	6	no	—
770	Dic₆	—	2	1	no	—
771	Dic₆	C₂×C₅×D₄	1	3	yes	—
772	Dic₆	C₂⁴×C₅	1	3	yes	—
773	Dic₆	C₂⁴×C₅	1	1	yes	characteristic
774	C₃×C₈	C₂⁴×C₅	1	1	yes	characteristic
775	C₃×C₈	C₂⁴×C₅	1	3	yes	—
776	C₃⋊C₈	C₂⁴×C₅	1	1	yes	characteristic
777	C₃⋊C₈	C₂⁴×C₅	1	3	yes	—
778	C₂²×C₅	—	2	1	no	—
779	C₂²×C₅	—	2	3	no	—
780	C₂²×C₅	—	3	1	no	—
781	C₂²×C₅	—	3	3	no	—
782	C₂²×C₅	—	6	6	no	—
783	C₂²×C₅	—	6	1	no	—
784	C₂²×C₅	—	6	3	no	—
785	C₂²×C₅	—	8	3	no	—
786	C₂²×C₅	—	12	2	no	—
787	C₂²×C₅	—	12	6	no	—
788	C₂²×C₅	—	24	3	no	—
789	C₂²×C₅	—	24	6	no	—
790	C₂²×C₅	C₂×D₃×D₄	1	3	yes	—
791	C₄×C₅	—	2	1	no	—
792	C₄×C₅	—	2	3	no	—
793	C₄×C₅	—	3	1	no	—
794	C₄×C₅	—	3	3	no	—
795	C₄×C₅	—	6	1	no	—
796	C₄×C₅	—	6	3	no	—
797	C₄×C₅	C₂×D₃×D₄	1	3	yes	—
798	C₄×C₅	C₂⁴×D₃	1	1	yes	characteristic
799	C₂⁴	—	6	3	no	—
800	#41	—	2	1	no	—
801	#41	—	2	3	no	—
802	#41	—	3	1	no	—
803	#41	—	3	3	no	—
804	#41	—	3	3	no	—
805	#41	—	3	3	no	—
806	#41	—	3	3	no	—
807	#41	—	3	3	no	—
808	#41	—	3	3	no	—
809	#41	—	3	3	no	—
810	#41	—	3	3	no	—
811	#41	—	6	3	no	—
812	#41	—	6	3	no	—
813	#41	—	6	6	no	—
814	#41	—	6	3	no	—
815	#41	—	6	3	no	—
816	#41	—	6	3	no	—
817	#41	—	6	3	no	—
818	#41	—	6	6	no	—
819	#41	—	6	3	no	—
820	#41	—	6	3	no	—
821	#41	—	6	1	no	—
822	#41	—	6	3	no	—
823	#41	C₂²×C₅×D₃	1	3	yes	—
824	#41	C₂²×C₅×D₃	1	1	yes	characteristic
825	#41	C₂²×C₅×D₃	1	3	yes	complemented
826	C₂×Q₈	—	2	1	no	—
827	C₂×Q₈	—	3	1	no	—
828	C₂×Q₈	—	3	3	no	—
829	C₂×Q₈	—	3	6	no	—
830	C₂×Q₈	—	3	1	no	—
831	C₂×Q₈	—	3	3	no	—
832	C₂×Q₈	—	6	3	no	—
833	C₂×Q₈	—	6	3	no	—
834	C₂×Q₈	—	6	3	no	—
835	C₂×Q₈	—	6	3	no	—
836	C₂×Q₈	—	6	3	no	—
837	C₂×Q₈	—	6	1	no	—
838	C₂×Q₈	C₂²×C₅×D₃	1	3	yes	complemented
839	C₂×D₄	—	2	3	no	—
840	C₂×D₄	—	3	3	no	—
841	C₂×D₄	—	3	1	no	—
842	C₂×D₄	—	3	3	no	—
843	C₂×D₄	—	3	6	no	—
844	C₂×D₄	—	3	3	no	—
845	C₂×D₄	—	6	3	no	—
846	C₂×D₄	—	6	3	no	—
847	C₂×D₄	—	6	3	no	—
848	C₂×D₄	—	6	3	no	—
849	C₂×D₄	—	6	6	no	—
850	C₂×D₄	—	6	3	no	—
851	C₂×D₄	—	6	3	no	—
852	C₂×D₄	—	6	3	no	—
853	C₂×D₄	—	6	6	no	—
854	C₂×D₄	—	6	3	no	—
855	C₂×D₄	C₂²×C₅×D₃	1	3	yes	—
856	C₂²×C₄	—	3	3	no	—
857	C₂²×C₄	—	6	3	no	—
858	C₂²×C₄	—	6	3	no	—
859	C₂²×C₄	—	6	3	no	—
860	Q₁₆	—	3	3	no	—
861	Q₁₆	—	3	3	no	—
862	Q₁₆	—	3	3	no	—
863	Q₁₆	C₂²×C₅×D₃	1	3	yes	complemented
864	SD₁₆	—	3	3	no	—
865	SD₁₆	—	3	6	no	—
866	SD₁₆	—	3	1	no	—
867	SD₁₆	—	3	3	no	—
868	SD₁₆	—	3	6	no	—
869	SD₁₆	—	3	1	no	—
870	SD₁₆	—	3	3	no	—
871	SD₁₆	—	3	6	no	—
872	SD₁₆	—	3	1	no	—
873	SD₁₆	C₂²×C₅×D₃	1	3	yes	complemented
874	SD₁₆	C₂²×C₅×D₃	1	6	yes	complemented
875	SD₁₆	C₂²×C₅×D₃	1	1	yes	characteristic, complemented
876	D₈	—	3	3	no	—
877	D₈	—	3	3	no	—
878	D₈	—	3	3	no	—
879	D₈	C₂²×C₅×D₃	1	3	yes	complemented
880	M₁₆	—	3	3	no	—
881	M₁₆	—	3	6	no	—
882	M₁₆	C₂²×C₅×D₃	1	3	yes	complemented
883	C₂×C₈	—	3	3	no	—
884	C₂×C₈	—	3	1	no	—
885	C₂×C₈	—	3	3	no	—
886	C₂×C₈	—	3	3	no	—
887	C₂×C₈	—	3	3	no	—
888	C₂×C₈	C₂²×C₅×D₃	1	3	yes	complemented
889	C₃×C₅	C₂×#577	1	1	yes	characteristic, complemented, Hall
890	C₂²×C₃	—	2	1	no	—
891	C₂²×C₃	—	2	3	no	—
892	C₂²×C₃	—	8	3	no	—
893	C₂²×C₃	C₂²×C₅×D₄	1	3	yes	—
894	C₂×D₃	—	2	6	no	—
895	C₂×D₃	—	2	1	no	—
896	C₂×D₃	—	2	3	no	—
897	C₂×D₃	—	4	2	no	—
898	C₂×D₃	—	4	6	no	—
899	C₂×D₃	—	8	6	no	—
900	C₂×D₃	—	8	3	no	—
901	C₂×D₃	C₂²×C₅×D₄	1	3	yes	—
902	C₂×D₃	C₂²×C₅×D₄	1	1	yes	characteristic
903	C₃×C₄	—	2	3	no	—
904	C₃×C₄	—	2	1	no	—
905	C₃×C₄	C₂²×C₅×D₄	1	3	yes	—
906	C₃×C₄	C₂⁵×C₅	1	1	yes	characteristic
907	Dic₃	—	2	3	no	—
908	Dic₃	—	2	1	no	—
909	Dic₃	C₂²×C₅×D₄	1	1	yes	characteristic
910	Dic₃	C₂²×C₅×D₄	1	3	yes	—
911	C₂×C₅	—	2	3	no	—
912	C₂×C₅	—	3	2	no	—
913	C₂×C₅	—	4	3	no	—
914	C₂×C₅	—	4	1	no	—
915	C₂×C₅	—	6	3	no	—
916	C₂×C₅	—	12	3	no	—
917	C₂×C₅	—	12	1	no	—
918	C₂×C₅	C₂²×D₃×D₄	1	1	yes	characteristic
919	C₂³	—	2	3	no	—
920	C₂³	—	3	3	no	—
921	C₂³	—	6	1	no	—
922	C₂³	—	6	3	no	—
923	C₂³	—	6	6	no	—
924	C₂³	—	6	3	no	—
925	C₂³	—	24	6	no	—
926	Q₈	—	2	3	no	—
927	Q₈	—	3	3	no	—
928	Q₈	—	3	3	no	—
929	Q₈	—	3	1	no	—
930	Q₈	—	6	3	no	—
931	Q₈	—	6	6	no	—
932	Q₈	—	6	1	no	—
933	Q₈	—	6	3	no	—
934	Q₈	C₅×D₃×D₄	1	1	yes	characteristic
935	Q₈	C₂³×C₅×D₃	1	3	yes	—
936	Q₈	C₂³×C₅×D₃	1	1	yes	characteristic
937	D₄	—	2	3	no	—
938	D₄	—	2	3	no	—
939	D₄	—	2	3	no	—
940	D₄	—	3	6	no	—
941	D₄	—	3	3	no	—
942	D₄	—	3	1	no	—
943	D₄	—	3	3	no	—
944	D₄	—	6	3	no	—
945	D₄	—	6	3	no	—
946	D₄	—	6	3	no	—
947	D₄	—	6	6	no	—
948	D₄	—	6	1	no	—
949	D₄	—	6	3	no	—
950	D₄	—	6	3	no	—
951	D₄	—	6	3	no	—
952	D₄	—	6	3	no	—
953	D₄	—	6	3	no	—
954	D₄	C₅×D₃×D₄	1	3	yes	—
955	D₄	C₂³×C₅×D₃	1	1	yes	characteristic
956	D₄	C₂³×C₅×D₃	1	3	yes	—
957	C₂×C₄	—	2	3	no	—
958	C₂×C₄	—	2	3	no	—
959	C₂×C₄	—	2	3	no	—
960	C₂×C₄	—	3	3	no	—
961	C₂×C₄	—	3	3	no	—
962	C₂×C₄	—	3	3	no	—
963	C₂×C₄	—	3	1	no	—
964	C₂×C₄	—	3	3	no	—
965	C₂×C₄	—	6	3	no	—
966	C₂×C₄	—	6	3	no	—
967	C₂×C₄	—	6	1	no	—
968	C₂×C₄	—	6	3	no	—
969	C₂×C₄	—	6	6	no	—
970	C₂×C₄	—	6	3	no	—
971	C₂×C₄	—	6	3	no	—
972	C₂×C₄	—	6	3	no	—
973	C₂×C₄	—	6	3	no	—
974	C₂×C₄	—	6	3	no	—
975	C₂×C₄	C₂³×C₅×D₃	1	3	yes	—
976	C₈	—	3	1	no	—
977	C₈	—	3	3	no	—
978	C₈	C₂³×C₅×D₃	1	1	yes	characteristic
979	C₈	C₂³×C₅×D₃	1	3	yes	—
980	C₂×C₃	—	2	3	no	—
981	C₂×C₃	—	4	3	no	—
982	C₂×C₃	—	4	1	no	—
983	C₂×C₃	C₂³×C₅×D₄	1	1	yes	characteristic
984	D₃	—	2	3	no	—
985	D₃	—	4	3	no	—
986	D₃	—	4	1	no	—
987	D₃	C₅×#577	1	2	yes	direct product factor
988	C₅	D₃×#577	1	1	yes	characteristic, direct product factor, Sylow
989	C₂²	—	2	1	no	—
990	C₂²	—	2	3	no	—
991	C₂²	—	3	1	no	—
992	C₂²	—	3	3	no	—
993	C₂²	—	6	6	no	—
994	C₂²	—	6	1	no	—
995	C₂²	—	6	3	no	—
996	C₂²	—	8	3	no	—
997	C₂²	—	12	6	no	—
998	C₂²	—	12	2	no	—
999	C₂²	—	24	3	no	—
1000	C₂²	—	24	6	no	—
1001	C₂²	C₂×C₅×D₃×D₄	1	3	yes	—
1002	C₄	—	2	1	no	—
1003	C₄	—	2	3	no	—
1004	C₄	—	3	1	no	—
1005	C₄	—	3	3	no	—
1006	C₄	—	6	1	no	—
1007	C₄	—	6	3	no	—
1008	C₄	C₂×C₅×D₃×D₄	1	3	yes	—
1009	C₄	C₂⁴×C₅×D₃	1	1	yes	characteristic
1010	C₃	C₂×C₅×#577	1	1	yes	characteristic, complemented, Sylow
1011	C₂	—	2	3	no	—
1012	C₂	—	3	2	no	—
1013	C₂	—	4	3	no	—
1014	C₂	—	4	1	no	—
1015	C₂	—	6	3	no	—
1016	C₂	—	12	3	no	—
1017	C₂	—	12	1	no	—
1018	C₂	C₂²×C₅×D₃×D₄	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₅	C₂²×D₃×D₄
commutator, cosocle	C₃×C₄	C₂⁵×C₅
Frattini	C₄	C₂⁴×C₅×D₃
Fitting	C₃×C₅×#577	C₂
socle	C₂×C₃×C₅	C₂³×D₄
hypercenter	C₅×#577	D₃
hypocenter	C₃	C₂×C₅×#577
LCS	G ▷ C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₅ ◁ C₅×#41 ◁ C₅×#577

Complements

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

N	H ≅ G/N	type
1. C₅×D₃×2₋¹⁺⁴	C₂	semidirect
2. C₅×D₃×H(5,𝔽₂)	C₂	semidirect
3. C₃×C₅×#577	C₂	semidirect
4. C₅×#5837	C₂	semidirect
5. C₅×#5836	C₂	semidirect
6. C₅×#5778	C₂	semidirect
7. C₅×D₃×#137	C₂	semidirect
8. C₅×#5775	C₂	semidirect
9. C₅×D₃×AGL(1,ℤ/8)	C₂	semidirect
10. C₅×#5770	C₂	semidirect
11. C₅×D₃×#135	C₂	semidirect
12. C₅×#5762	C₂	semidirect
13. C₂×C₅×D₃×SD₁₆	C₂	semidirect
14. C₅×#5751	C₂	semidirect
15. C₅×D₃×#131	C₂	semidirect
17. C₃×C₅×2₋¹⁺⁴	C₂²	semidirect
18. C₃×C₅×H(5,𝔽₂)	C₂²	semidirect
20. C₅×#1010	C₂²	semidirect
21. C₅×#1010	C₂²	semidirect
23. C₅×#1009	C₂²	semidirect
24. C₅×#1009	C₂²	semidirect
29. C₅×D₃×#41	C₂²	semidirect
31. C₅×#1007	C₂²	semidirect
33. C₂×C₅×D₃×Q₈	C₂²	semidirect
35. C₅×#1004	C₂²	semidirect
38. C₃×C₅×#137	C₂²	semidirect
39. C₃×C₅×AGL(1,ℤ/8)	C₂²	semidirect
40. C₃×C₅×#135	C₂²	semidirect
41. C₂×C₃×C₅×SD₁₆	C₂²	semidirect
42. C₃×C₅×#131	C₂²	semidirect
43. C₅×#951	C₂²	semidirect
44. C₅×#950	C₂²	semidirect
45. C₅×#950	C₂²	semidirect
46. C₅×#949	C₂²	semidirect
47. C₅×#948	C₂²	semidirect
48. C₅×#942	C₂²	semidirect
49. C₂×C₅×#215	C₂²	semidirect
50. C₂×C₅×#214	C₂²	semidirect
51. C₅×#932	C₂²	semidirect
52. C₅×#919	C₂²	semidirect
53. C₅×#918	C₂²	semidirect
54. C₅×D₃×Q₁₆	C₂²	semidirect
55. C₅×#916	C₂²	semidirect
56. C₅×#916	C₂²	semidirect
57. C₅×#915	C₂²	semidirect
58. C₅×#914	C₂²	semidirect
59. C₅×D₃×SD₁₆	C₂²	semidirect
60. C₅×D₃×SD₁₆	C₂²	semidirect
61. C₅×D₃×SD₁₆	C₂²	semidirect
62. C₅×D₃×SD₁₆	C₂²	semidirect
63. C₅×D₃×SD₁₆	C₂²	semidirect
64. C₅×#912	C₂²	semidirect
65. C₅×#911	C₂²	semidirect
66. C₅×D₃×D₈	C₂²	semidirect
67. C₅×#909	C₂²	semidirect
68. C₅×#908	C₂²	semidirect
69. C₅×#907	C₂²	semidirect
70. C₅×D₃×M₁₆	C₂²	semidirect
71. C₅×#904	C₂²	semidirect
72. C₂×C₅×#204	C₂²	semidirect
73. C₅×#901	C₂²	semidirect
74. C₂×C₅×D₃×C₈	C₂²	semidirect
75. D₃×#577	C₅	direct (N × H)
85. C₅×#577	D₃	direct (N × H)
96. C₃×C₅×#41	C₂³	semidirect
98. C₂×C₃×C₅×Q₈	C₂³	semidirect
107. C₅×#239	C₂³	semidirect
115. C₅×D₃×Q₈	C₂³	semidirect
123. C₅×#237	C₂³	semidirect
142. C₅×#235	C₂³	semidirect
151. C₂×C₅×Dic₆	C₂³	semidirect
152. C₃×C₅×Q₁₆	C₂³	semidirect
153. C₃×C₅×SD₁₆	C₂³	semidirect
154. C₃×C₅×SD₁₆	C₂³	semidirect
155. C₃×C₅×SD₁₆	C₂³	semidirect
156. C₃×C₅×D₈	C₂³	semidirect
157. C₃×C₅×M₁₆	C₂³	semidirect
158. C₂×C₃×C₅×C₈	C₂³	semidirect
159. C₅×#216	C₂³	semidirect
160. C₅×#216	C₂³	semidirect
161. C₅×#215	C₂³	semidirect
162. C₅×#215	C₂³	semidirect
163. C₅×#215	C₂³	semidirect
164. C₅×#214	C₂³	semidirect
165. C₅×#214	C₂³	semidirect
166. C₅×#214	C₂³	semidirect
167. C₅×#213	C₂³	semidirect
168. C₅×#213	C₂³	semidirect
169. C₅×#208	C₂³	semidirect
170. C₂×C₅×C₃⋊C₈	C₂³	semidirect
171. C₅×Dic₁₂	C₂³	semidirect
172. C₅×D₂₄	C₂³	semidirect
173. C₅×#204	C₂³	semidirect
174. C₅×#204	C₂³	semidirect
175. C₅×#204	C₂³	semidirect
176. C₅×ΓL(1,𝔽₂₅)	C₂³	semidirect
179. C₅×D₃×C₈	C₂³	semidirect
180. C₅×D₃×C₈	C₂³	semidirect
181. D₃×2₋¹⁺⁴	C₂×C₅	semidirect
182. D₃×H(5,𝔽₂)	C₂×C₅	semidirect
183. C₃×#577	C₂×C₅	semidirect
184. #5837	C₂×C₅	semidirect
185. #5836	C₂×C₅	semidirect
186. #5778	C₂×C₅	semidirect
187. D₃×#137	C₂×C₅	semidirect
188. #5775	C₂×C₅	semidirect
189. D₃×AGL(1,ℤ/8)	C₂×C₅	semidirect
190. #5770	C₂×C₅	semidirect
191. D₃×#135	C₂×C₅	semidirect
192. #5762	C₂×C₅	semidirect
193. C₂×D₃×SD₁₆	C₂×C₅	semidirect
194. #5751	C₂×C₅	semidirect
195. D₃×#131	C₂×C₅	semidirect
201. C₅×2₋¹⁺⁴	C₂×D₃	semidirect
207. C₅×H(5,𝔽₂)	C₂×D₃	semidirect
222. C₅×#137	C₂×D₃	semidirect
228. C₅×AGL(1,ℤ/8)	C₂×D₃	semidirect
236. C₅×#135	C₂×D₃	semidirect
246. C₂×C₅×SD₁₆	C₂×D₃	semidirect
251. C₅×#131	C₂×D₃	semidirect
316. C₃×2₋¹⁺⁴	C₂²×C₅	semidirect
317. C₃×H(5,𝔽₂)	C₂²×C₅	semidirect
319. #1010	C₂²×C₅	semidirect
320. #1010	C₂²×C₅	semidirect
322. #1009	C₂²×C₅	semidirect
323. #1009	C₂²×C₅	semidirect
328. D₃×#41	C₂²×C₅	semidirect
330. #1007	C₂²×C₅	semidirect
332. C₂×D₃×Q₈	C₂²×C₅	semidirect
334. #1004	C₂²×C₅	semidirect
337. C₃×#137	C₂²×C₅	semidirect
338. C₃×AGL(1,ℤ/8)	C₂²×C₅	semidirect
339. C₃×#135	C₂²×C₅	semidirect
340. C₂×C₃×SD₁₆	C₂²×C₅	semidirect
341. C₃×#131	C₂²×C₅	semidirect
342. #951	C₂²×C₅	semidirect
343. #950	C₂²×C₅	semidirect
344. #950	C₂²×C₅	semidirect
345. #949	C₂²×C₅	semidirect
346. #948	C₂²×C₅	semidirect
347. #942	C₂²×C₅	semidirect
348. C₂×#215	C₂²×C₅	semidirect
349. C₂×#214	C₂²×C₅	semidirect
350. #932	C₂²×C₅	semidirect
351. #919	C₂²×C₅	semidirect
352. #918	C₂²×C₅	semidirect
353. D₃×Q₁₆	C₂²×C₅	semidirect
354. #916	C₂²×C₅	semidirect
355. #916	C₂²×C₅	semidirect
356. #915	C₂²×C₅	semidirect
357. #914	C₂²×C₅	semidirect
358. D₃×SD₁₆	C₂²×C₅	semidirect
359. D₃×SD₁₆	C₂²×C₅	semidirect
360. D₃×SD₁₆	C₂²×C₅	semidirect
361. D₃×SD₁₆	C₂²×C₅	semidirect
362. D₃×SD₁₆	C₂²×C₅	semidirect
363. #912	C₂²×C₅	semidirect
364. #911	C₂²×C₅	semidirect
365. D₃×D₈	C₂²×C₅	semidirect
366. #909	C₂²×C₅	semidirect
367. #908	C₂²×C₅	semidirect
368. #907	C₂²×C₅	semidirect
369. D₃×M₁₆	C₂²×C₅	semidirect
370. #904	C₂²×C₅	semidirect
371. C₂×#204	C₂²×C₅	semidirect
372. #901	C₂²×C₅	semidirect
373. C₂×D₃×C₈	C₂²×C₅	semidirect
400. C₅×#41	C₂²×D₃	semidirect
413. C₂×C₅×Q₈	C₂²×D₃	semidirect
438. C₅×Q₁₆	C₂²×D₃	semidirect
448. C₅×SD₁₆	C₂²×D₃	semidirect
449. C₅×SD₁₆	C₂²×D₃	semidirect
450. C₅×SD₁₆	C₂²×D₃	semidirect
454. C₅×D₈	C₂²×D₃	semidirect
457. C₅×M₁₆	C₂²×D₃	semidirect
463. C₂×C₅×C₈	C₂²×D₃	semidirect
473. #577	C₅×D₃	direct (N × H)
505. C₃×#41	C₂³×C₅	semidirect
507. C₂×C₃×Q₈	C₂³×C₅	semidirect
516. #239	C₂³×C₅	semidirect
524. D₃×Q₈	C₂³×C₅	semidirect
532. #237	C₂³×C₅	semidirect
551. #235	C₂³×C₅	semidirect
560. C₂×Dic₆	C₂³×C₅	semidirect
561. C₃×Q₁₆	C₂³×C₅	semidirect
562. C₃×SD₁₆	C₂³×C₅	semidirect
563. C₃×SD₁₆	C₂³×C₅	semidirect
564. C₃×SD₁₆	C₂³×C₅	semidirect
565. C₃×D₈	C₂³×C₅	semidirect
566. C₃×M₁₆	C₂³×C₅	semidirect
567. C₂×C₃×C₈	C₂³×C₅	semidirect
568. #216	C₂³×C₅	semidirect
569. #216	C₂³×C₅	semidirect
570. #215	C₂³×C₅	semidirect
571. #215	C₂³×C₅	semidirect
572. #215	C₂³×C₅	semidirect
573. #214	C₂³×C₅	semidirect
574. #214	C₂³×C₅	semidirect
575. #214	C₂³×C₅	semidirect
576. #213	C₂³×C₅	semidirect
577. #213	C₂³×C₅	semidirect
578. #208	C₂³×C₅	semidirect
579. C₂×C₃⋊C₈	C₂³×C₅	semidirect
580. Dic₁₂	C₂³×C₅	semidirect
581. D₂₄	C₂³×C₅	semidirect
582. #204	C₂³×C₅	semidirect
583. #204	C₂³×C₅	semidirect
584. #204	C₂³×C₅	semidirect
585. ΓL(1,𝔽₂₅)	C₂³×C₅	semidirect
588. D₃×C₈	C₂³×C₅	semidirect
589. D₃×C₈	C₂³×C₅	semidirect
656. 2₋¹⁺⁴	C₂×C₅×D₃	semidirect
662. H(5,𝔽₂)	C₂×C₅×D₃	semidirect
677. #137	C₂×C₅×D₃	semidirect
683. AGL(1,ℤ/8)	C₂×C₅×D₃	semidirect
691. #135	C₂×C₅×D₃	semidirect
701. C₂×SD₁₆	C₂×C₅×D₃	semidirect
706. #131	C₂×C₅×D₃	semidirect
716. C₅×D₃	#577	direct (N × H)
825. #41	C₂²×C₅×D₃	semidirect
838. C₂×Q₈	C₂²×C₅×D₃	semidirect
863. Q₁₆	C₂²×C₅×D₃	semidirect
873. SD₁₆	C₂²×C₅×D₃	semidirect
874. SD₁₆	C₂²×C₅×D₃	semidirect
875. SD₁₆	C₂²×C₅×D₃	semidirect
879. D₈	C₂²×C₅×D₃	semidirect
882. M₁₆	C₂²×C₅×D₃	semidirect
888. C₂×C₈	C₂²×C₅×D₃	semidirect
889. C₃×C₅	C₂×#577	semidirect
987. D₃	C₅×#577	direct (N × H)
988. C₅	D₃×#577	direct (N × H)
1010. C₃	C₂×C₅×#577	semidirect

Maximal subgroups

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

subgroup	index
C₅×D₃×2₋¹⁺⁴	2
C₅×D₃×H(5,𝔽₂)	2
C₃×C₅×#577	2
C₅×#5837	2
C₅×#5836	2
C₅×#5778	2
C₅×D₃×#137	2
C₅×#5775	2
C₅×D₃×AGL(1,ℤ/8)	2
C₅×#5770	2
C₅×D₃×#135	2
C₅×#5762	2
C₂×C₅×D₃×SD₁₆	2
C₅×#5751	2
C₅×D₃×#131	2
C₂×C₅×#577	3
D₃×#577	5

Subgroups — C5×D3×#577 #14510015

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×D₃×#577 #14510015