Subgroups — C₅×D₃×#547 #14482667

Order 1920.

3264 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	C₂×C₅×D₃×#41	C₂	1	2	yes	maximal, complemented
2	C₃×C₅×#547	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#5824	C₂	1	2	yes	maximal, complemented
4	C₅×#5726	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×D₃×C₄⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅×#5655	C₂	1	4	yes	maximal, complemented
7	C₅×D₃×#123	C₂	1	4	yes	maximal, complemented
8	C₅×#5631	C₂	1	2	yes	maximal, complemented
9	C₅×D₃×C₂²⋊Q₈	C₂	1	2	yes	maximal, complemented
10	C₅×#5611	C₂	1	2	yes	maximal, complemented
11	C₅×D₃×#121	C₂	1	2	yes	maximal, complemented
12	C₅×#5555	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#5551	C₂	1	1	yes	maximal, characteristic, complemented
14	C₄×C₅×D₃×D₄	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄×C₅×D₃×D₄	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#5507	C₂	1	2	yes	maximal, complemented
17	C₂×C₅×D₃×C₄⋊C₄	C₂	1	2	yes	maximal, complemented
18	C₂×C₅×#547	—	3	1	no	maximal, Hall
19	C₂×C₃×C₅×#41	C₂²	1	2	yes	complemented
20	C₅×D₃×#41	—	2	16	no	—
21	C₂×C₅×#239	C₂²	1	2	yes	complemented
22	C₂×C₅×D₃×Q₈	C₂²	1	2	yes	—
23	C₂×C₅×#237	C₂²	1	4	yes	complemented
24	C₂×C₅×#237	C₂²	1	2	yes	complemented
25	C₂×C₅×D₃×D₄	C₂²	1	4	yes	—
26	C₂×C₅×D₃×D₄	C₂²	1	1	yes	characteristic
27	C₂×C₅×D₃×D₄	C₂²	1	1	yes	characteristic
28	C₂×C₅×#235	C₂²	1	4	yes	complemented
29	C₂×C₅×#235	C₂²	1	2	yes	complemented
30	C₂²×C₄×C₅×D₃	C₂²	1	4	yes	—
31	C₂²×C₄×C₅×D₃	C₂²	1	2	yes	—
32	C₂²×C₄×C₅×D₃	C₂²	1	2	yes	—
33	C₃×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
34	C₃×C₅×#123	C₂²	1	4	yes	complemented
35	C₃×C₅×C₂²⋊Q₈	C₂²	1	2	yes	complemented
36	C₃×C₅×#121	C₂²	1	2	yes	complemented
37	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
38	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	2	yes	complemented
40	C₅×#946	C₂²	1	2	yes	complemented
41	C₅×#944	C₂²	1	2	yes	complemented
42	C₅×#939	C₂²	1	4	yes	complemented
43	C₅×#938	C₂²	1	2	yes	complemented
44	C₅×#935	C₂²	1	4	yes	complemented
45	C₅×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
46	C₅×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
47	C₅×#930	C₂²	1	2	yes	complemented
48	C₅×#929	C₂²	1	4	yes	complemented
49	C₄×C₅×#67	C₂²	1	2	yes	complemented
50	C₄×C₅×#67	C₂²	1	2	yes	complemented
51	C₂×C₅×C₄⋊Dic₃	C₂²	1	2	yes	complemented
52	C₅×#924	C₂²	1	2	yes	complemented
53	C₂×C₅×Dic₃⋊C₄	C₂²	1	4	yes	complemented
54	C₅×#897	C₂²	1	2	yes	complemented
55	C₅×#896	C₂²	1	4	yes	complemented
56	C₅×#895	C₂²	1	2	yes	complemented
57	C₅×#894	C₂²	1	4	yes	complemented
58	C₅×#894	C₂²	1	4	yes	complemented
59	C₅×#893	C₂²	1	1	yes	characteristic, complemented
60	C₅×#893	C₂²	1	1	yes	characteristic, complemented
61	C₅×D₃×C₄⋊C₄	C₂²	1	2	yes	—
62	C₅×D₃×C₄⋊C₄	C₂²	1	4	yes	—
63	C₅×D₃×C₄⋊C₄	C₂²	1	2	yes	—
64	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
65	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
66	C₅×D₃×C₄⋊C₄	C₂²	1	4	yes	complemented
67	C₅×D₃×C₄⋊C₄	C₂²	1	2	yes	complemented
68	C₅×D₃×C₄⋊C₄	C₂²	1	2	yes	complemented
69	C₅×#888	C₂²	1	2	yes	complemented
70	C₅×#888	C₂²	1	2	yes	complemented
71	C₅×#886	C₂²	1	4	yes	complemented
72	C₅×#884	C₂²	1	4	yes	complemented
73	C₅×#883	C₂²	1	4	yes	complemented
74	C₅×#883	C₂²	1	4	yes	complemented
75	C₅×#67⋊C₄	C₂²	1	2	yes	complemented
76	C₅×#67⋊C₄	C₂²	1	2	yes	complemented
77	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
78	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
79	C₅×D₃×C₂²⋊C₄	C₂²	1	4	yes	—
80	C₅×#878	C₂²	1	4	yes	complemented
81	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic, complemented
82	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic, complemented
83	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic
84	C₅×#869	C₂²	1	1	yes	characteristic, complemented
85	D₃×#547	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
86	C₂²×C₅×#41	—	3	2	no	—
87	C₅×#547	—	3	2	no	—
88	C₅×#547	—	3	1	no	—
89	C₅×#547	—	3	4	no	—
90	C₅×#547	—	3	2	no	—
91	C₅×#547	—	3	2	no	—
92	C₅×#547	—	3	1	no	—
93	C₅×#547	—	3	1	no	—
94	C₅×#547	—	3	2	no	—
95	C₅×#547	D₃	1	1	yes	characteristic, direct product factor
96	C₂×C₅×C₄⋊Q₈	—	3	1	no	—
97	C₂×C₅×#123	—	3	4	no	—
98	C₂×C₅×C₂²⋊Q₈	—	3	2	no	—
99	C₂×C₅×#121	—	3	2	no	—
100	C₂×C₄×C₅×D₄	—	3	1	no	—
101	C₂×C₄×C₅×D₄	—	3	1	no	—
102	C₂²×C₅×C₄⋊C₄	—	3	2	no	—
103	C₂³×C₅×D₃	C₂³	1	2	yes	—
104	C₂³×C₅×D₃	C₂³	1	2	yes	—
105	C₃×C₅×#41	—	2	8	no	—
106	C₂×C₃×C₅×Q₈	C₂³	1	2	yes	—
107	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
108	C₂×C₃×C₅×D₄	C₂³	1	4	yes	—
109	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
110	C₂²×C₃×C₄×C₅	C₂³	1	4	yes	—
111	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
112	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
113	C₂×C₅×#67	C₂³	1	2	yes	—
114	C₂×C₅×#67	C₂³	1	4	yes	—
115	C₂×C₅×#67	C₂³	1	4	yes	—
116	C₂×C₅×#67	C₂³	1	2	yes	—
117	C₂²×C₅×Dic₃	C₂³	1	2	yes	—
118	C₂²×C₅×Dic₃	C₂³	1	2	yes	—
119	C₂²×C₅×Dic₃	C₂³	1	4	yes	—
120	C₅×#239	—	2	8	no	—
121	C₅×D₃×Q₈	—	2	8	no	—
122	C₅×#237	—	2	8	no	—
123	C₅×#237	—	2	16	no	—
124	C₅×D₃×D₄	—	2	16	no	—
125	C₅×D₃×D₄	—	2	4	no	—
126	C₅×D₃×D₄	D₄	1	8	yes	complemented
127	C₅×#235	—	2	16	no	—
128	C₅×#235	—	2	8	no	—
129	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
130	C₂×C₅×D₁₂	C₂³	1	4	yes	—
131	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
132	C₂×C₄×C₅×D₃	—	2	16	no	—
133	C₂×C₄×C₅×D₃	—	2	8	no	—
134	C₂×C₄×C₅×D₃	—	2	8	no	—
135	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
136	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
137	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
138	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
139	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
140	C₂×C₄×C₅×D₃	C₂³	1	4	yes	—
141	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
142	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
143	C₂×C₄×C₅×D₃	C₂³	1	4	yes	—
144	C₂×C₄×C₅×D₃	C₂³	1	4	yes	—
145	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
146	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
147	C₂×C₅×Dic₆	C₂³	1	2	yes	—
148	C₂×C₅×Dic₆	C₂³	1	4	yes	—
149	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
150	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
151	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
152	C₃×C₅×C₄⋊C₄	C₂³	1	4	yes	—
153	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
154	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
155	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
156	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
157	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
158	C₅×#217	C₂³	1	4	yes	—
159	C₅×#217	C₂³	1	2	yes	—
160	C₅×#217	C₂³	1	2	yes	—
161	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
162	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
163	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
164	C₅×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
165	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
166	C₅×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
167	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
168	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
169	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
170	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
171	C₅×C₄⋊Dic₃	C₂³	1	4	yes	—
172	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
173	C₅×Dic₃⋊C₄	C₂³	1	4	yes	—
174	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
175	C₅×Dic₃⋊C₄	C₂³	1	4	yes	—
176	C₅×Dic₃⋊C₄	C₂³	1	4	yes	—
177	C₅×Dic₃⋊C₄	C₂³	1	4	yes	—
178	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
179	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
180	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
181	C₂×D₃×#41	C₂×C₅	1	2	yes	complemented
182	C₃×#547	C₂×C₅	1	1	yes	characteristic, complemented
183	#5824	C₂×C₅	1	2	yes	complemented
184	#5726	C₂×C₅	1	1	yes	characteristic, complemented
185	D₃×C₄⋊Q₈	C₂×C₅	1	1	yes	characteristic, complemented
186	#5655	C₂×C₅	1	4	yes	complemented
187	D₃×#123	C₂×C₅	1	4	yes	complemented
188	#5631	C₂×C₅	1	2	yes	complemented
189	D₃×C₂²⋊Q₈	C₂×C₅	1	2	yes	complemented
190	#5611	C₂×C₅	1	2	yes	complemented
191	D₃×#121	C₂×C₅	1	2	yes	complemented
192	#5555	C₂×C₅	1	1	yes	characteristic, complemented
193	#5551	C₂×C₅	1	1	yes	characteristic, complemented
194	C₄×D₃×D₄	C₂×C₅	1	1	yes	characteristic, complemented
195	C₄×D₃×D₄	C₂×C₅	1	1	yes	characteristic, complemented
196	#5507	C₂×C₅	1	2	yes	complemented
197	C₂×D₃×C₄⋊C₄	C₂×C₅	1	2	yes	complemented
198	C₂×C₅×#41	—	3	2	no	—
199	C₂×C₅×#41	—	3	2	no	—
200	C₂×C₅×#41	—	3	4	no	—
201	C₂×C₅×#41	—	3	2	no	—
202	C₂×C₅×#41	—	3	4	no	—
203	C₂×C₅×#41	—	6	16	no	—
204	C₂×C₅×#41	C₂×D₃	1	2	yes	complemented
205	C₂²×C₅×Q₈	—	3	2	no	—
206	C₂²×C₅×D₄	—	3	1	no	—
207	C₂²×C₅×D₄	—	3	1	no	—
208	C₂²×C₅×D₄	—	3	4	no	—
209	C₂³×C₄×C₅	—	3	2	no	—
210	C₂³×C₄×C₅	—	3	4	no	—
211	C₂³×C₄×C₅	—	3	2	no	—
212	C₅×C₄⋊Q₈	—	3	2	no	—
213	C₅×C₄⋊Q₈	—	3	2	no	—
214	C₅×C₄⋊Q₈	—	3	2	no	—
215	C₅×C₄⋊Q₈	—	3	1	no	—
216	C₅×C₄⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
217	C₅×#123	—	3	4	no	—
218	C₅×#123	—	3	4	no	—
219	C₅×#123	—	3	4	no	—
220	C₅×#123	—	3	4	no	—
221	C₅×#123	—	3	4	no	—
222	C₅×#123	—	3	4	no	—
223	C₅×#123	—	3	4	no	—
224	C₅×#123	C₂×D₃	1	4	yes	complemented
225	C₅×C₂²⋊Q₈	—	3	2	no	—
226	C₅×C₂²⋊Q₈	—	3	2	no	—
227	C₅×C₂²⋊Q₈	—	3	4	no	—
228	C₅×C₂²⋊Q₈	—	3	2	no	—
229	C₅×C₂²⋊Q₈	—	3	4	no	—
230	C₅×C₂²⋊Q₈	C₂×D₃	1	2	yes	complemented
231	C₅×#121	—	3	2	no	—
232	C₅×#121	—	3	4	no	—
233	C₅×#121	—	3	2	no	—
234	C₅×#121	—	3	2	no	—
235	C₅×#121	—	3	4	no	—
236	C₅×#121	C₂×D₃	1	2	yes	complemented
237	C₄×C₅×D₄	—	3	1	no	—
238	C₄×C₅×D₄	—	3	1	no	—
239	C₄×C₅×D₄	—	3	2	no	—
240	C₄×C₅×D₄	—	3	2	no	—
241	C₄×C₅×D₄	—	3	1	no	—
242	C₄×C₅×D₄	—	3	1	no	—
243	C₄×C₅×D₄	—	3	2	no	—
244	C₄×C₅×D₄	—	3	2	no	—
245	C₄×C₅×D₄	—	3	1	no	—
246	C₄×C₅×D₄	—	3	1	no	—
247	C₄×C₅×D₄	C₂×D₃	1	1	yes	characteristic, complemented
248	C₄×C₅×D₄	C₂×D₃	1	1	yes	characteristic, complemented
249	C₂×C₅×C₄⋊C₄	—	3	4	no	—
250	C₂×C₅×C₄⋊C₄	—	3	2	no	—
251	C₂×C₅×C₄⋊C₄	—	3	1	no	—
252	C₂×C₅×C₄⋊C₄	—	3	2	no	—
253	C₂×C₅×C₄⋊C₄	—	3	4	no	—
254	C₂×C₅×C₄⋊C₄	—	3	1	no	—
255	C₂×C₅×C₄⋊C₄	—	3	2	no	—
256	C₂×C₅×C₄⋊C₄	—	3	4	no	—
257	C₂×C₅×C₄⋊C₄	—	3	2	no	—
258	C₂×C₅×C₄⋊C₄	—	3	2	no	—
259	C₂×C₅×C₄⋊C₄	C₂×D₃	1	2	yes	complemented
260	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
261	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
262	C₂×C₅×C₂²⋊C₄	—	3	4	no	—
263	C₂×C₄²×C₅	—	3	1	no	—
264	C₂×#547	—	3	1	no	Sylow
265	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
266	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
267	C₂²×C₅×D₃	—	2	4	no	—
268	C₂²×C₅×D₃	—	2	4	no	—
269	C₂²×C₅×D₃	—	2	4	no	—
270	C₂²×C₅×D₃	—	2	4	no	—
271	C₂²×C₅×D₃	—	2	4	no	—
272	C₂²×C₅×D₃	C₂×D₄	1	8	yes	—
273	C₂²×C₅×D₃	C₂⁴	1	2	yes	—
274	C₂²×C₅×D₃	C₂⁴	1	2	yes	—
275	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
276	C₃×C₅×Q₈	—	2	4	no	—
277	C₃×C₅×D₄	—	2	8	no	—
278	C₃×C₅×D₄	—	2	2	no	—
279	C₃×C₅×D₄	C₂×D₄	1	4	yes	complemented
280	C₂×C₃×C₄×C₅	—	2	8	no	—
281	C₂×C₃×C₄×C₅	—	2	4	no	—
282	C₂×C₃×C₄×C₅	—	2	4	no	—
283	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
284	C₂×C₃×C₄×C₅	C₂⁴	1	4	yes	—
285	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
286	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
287	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
288	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
289	C₅×#67	—	2	8	no	—
290	C₅×#67	—	2	8	no	—
291	C₅×#67	—	2	4	no	—
292	C₅×#67	C₂×D₄	1	8	yes	complemented
293	C₂×C₅×Dic₃	—	2	8	no	—
294	C₂×C₅×Dic₃	—	2	4	no	—
295	C₂×C₅×Dic₃	—	2	4	no	—
296	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
297	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
298	C₂×C₅×Dic₃	C₂⁴	1	4	yes	—
299	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
300	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
301	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
302	C₅×D₁₂	—	2	8	no	—
303	C₅×D₁₂	—	2	2	no	—
304	C₅×D₁₂	C₂×D₄	1	4	yes	complemented
305	C₄×C₅×D₃	—	2	4	no	—
306	C₄×C₅×D₃	—	2	8	no	—
307	C₄×C₅×D₃	—	2	8	no	—
308	C₄×C₅×D₃	—	2	8	no	—
309	C₄×C₅×D₃	—	2	4	no	—
310	C₄×C₅×D₃	—	2	2	no	—
311	C₄×C₅×D₃	—	2	4	no	—
312	C₄×C₅×D₃	—	2	4	no	—
313	C₄×C₅×D₃	—	2	4	no	—
314	C₄×C₅×D₃	—	2	4	no	—
315	C₄×C₅×D₃	C₂×D₄	1	4	yes	—
316	C₄×C₅×D₃	#41	1	4	yes	complemented
317	C₅×Dic₆	—	2	4	no	—
318	C₅×Dic₆	—	2	8	no	—
319	C₂×C₃×#41	C₂²×C₅	1	2	yes	complemented
320	D₃×#41	—	2	16	no	—
321	C₂×#239	C₂²×C₅	1	2	yes	complemented
322	C₂×D₃×Q₈	C₂²×C₅	1	2	yes	—
323	C₂×#237	C₂²×C₅	1	4	yes	complemented
324	C₂×#237	C₂²×C₅	1	2	yes	complemented
325	C₂×D₃×D₄	C₂²×C₅	1	4	yes	—
326	C₂×D₃×D₄	C₂²×C₅	1	1	yes	characteristic
327	C₂×D₃×D₄	C₂²×C₅	1	1	yes	characteristic
328	C₂×#235	C₂²×C₅	1	4	yes	complemented
329	C₂×#235	C₂²×C₅	1	2	yes	complemented
330	C₂²×C₄×D₃	C₂²×C₅	1	4	yes	—
331	C₂²×C₄×D₃	C₂²×C₅	1	2	yes	—
332	C₂²×C₄×D₃	C₂²×C₅	1	2	yes	—
333	C₃×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
334	C₃×#123	C₂²×C₅	1	4	yes	complemented
335	C₃×C₂²⋊Q₈	C₂²×C₅	1	2	yes	complemented
336	C₃×#121	C₂²×C₅	1	2	yes	complemented
337	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
338	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
339	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	2	yes	complemented
340	#946	C₂²×C₅	1	2	yes	complemented
341	#944	C₂²×C₅	1	2	yes	complemented
342	#939	C₂²×C₅	1	4	yes	complemented
343	#938	C₂²×C₅	1	2	yes	complemented
344	#935	C₂²×C₅	1	4	yes	complemented
345	D₄×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
346	D₄×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
347	#930	C₂²×C₅	1	2	yes	complemented
348	#929	C₂²×C₅	1	4	yes	complemented
349	C₄×#67	C₂²×C₅	1	2	yes	complemented
350	C₄×#67	C₂²×C₅	1	2	yes	complemented
351	C₂×C₄⋊Dic₃	C₂²×C₅	1	2	yes	complemented
352	#924	C₂²×C₅	1	2	yes	complemented
353	C₂×Dic₃⋊C₄	C₂²×C₅	1	4	yes	complemented
354	#897	C₂²×C₅	1	2	yes	complemented
355	#896	C₂²×C₅	1	4	yes	complemented
356	#895	C₂²×C₅	1	2	yes	complemented
357	#894	C₂²×C₅	1	4	yes	complemented
358	#894	C₂²×C₅	1	4	yes	complemented
359	#893	C₂²×C₅	1	1	yes	characteristic, complemented
360	#893	C₂²×C₅	1	1	yes	characteristic, complemented
361	D₃×C₄⋊C₄	C₂²×C₅	1	2	yes	—
362	D₃×C₄⋊C₄	C₂²×C₅	1	4	yes	—
363	D₃×C₄⋊C₄	C₂²×C₅	1	2	yes	—
364	D₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
365	D₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
366	D₃×C₄⋊C₄	C₂²×C₅	1	4	yes	complemented
367	D₃×C₄⋊C₄	C₂²×C₅	1	2	yes	complemented
368	D₃×C₄⋊C₄	C₂²×C₅	1	2	yes	complemented
369	#888	C₂²×C₅	1	2	yes	complemented
370	#888	C₂²×C₅	1	2	yes	complemented
371	#886	C₂²×C₅	1	4	yes	complemented
372	#884	C₂²×C₅	1	4	yes	complemented
373	#883	C₂²×C₅	1	4	yes	complemented
374	#883	C₂²×C₅	1	4	yes	complemented
375	#67⋊C₄	C₂²×C₅	1	2	yes	complemented
376	#67⋊C₄	C₂²×C₅	1	2	yes	complemented
377	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
378	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
379	D₃×C₂²⋊C₄	C₂²×C₅	1	4	yes	—
380	#878	C₂²×C₅	1	4	yes	complemented
381	C₄×D₁₂	C₂²×C₅	1	1	yes	characteristic, complemented
382	C₄×D₁₂	C₂²×C₅	1	1	yes	characteristic, complemented
383	C₄²×D₃	C₂²×C₅	1	1	yes	characteristic
384	#869	C₂²×C₅	1	1	yes	characteristic, complemented
385	C₂⁴×C₅	—	3	2	no	—
386	C₂⁴×C₅	—	3	2	no	—
387	C₅×#41	—	2	8	no	—
388	C₅×#41	—	6	16	no	—
389	C₅×#41	—	6	8	no	—
390	C₅×#41	—	6	16	no	—
391	C₅×#41	—	6	8	no	—
392	C₅×#41	—	6	8	no	—
393	C₂×C₅×Q₈	—	3	4	no	—
394	C₂×C₅×Q₈	—	3	2	no	—
395	C₂×C₅×Q₈	—	6	8	no	—
396	C₂×C₅×Q₈	C₂²×D₃	1	2	yes	—
397	C₂×C₅×D₄	—	3	2	no	—
398	C₂×C₅×D₄	—	3	8	no	—
399	C₂×C₅×D₄	—	3	2	no	—
400	C₂×C₅×D₄	—	3	4	no	—
401	C₂×C₅×D₄	—	3	4	no	—
402	C₂×C₅×D₄	—	3	1	no	—
403	C₂×C₅×D₄	—	3	1	no	—
404	C₂×C₅×D₄	—	3	4	no	—
405	C₂×C₅×D₄	—	6	4	no	—
406	C₂×C₅×D₄	—	6	16	no	—
407	C₂×C₅×D₄	C₂²×D₃	1	1	yes	characteristic
408	C₂×C₅×D₄	C₂²×D₃	1	4	yes	—
409	C₂×C₅×D₄	C₂²×D₃	1	1	yes	characteristic
410	C₂²×C₄×C₅	—	3	1	no	—
411	C₂²×C₄×C₅	—	3	1	no	—
412	C₂²×C₄×C₅	—	3	2	no	—
413	C₂²×C₄×C₅	—	3	4	no	—
414	C₂²×C₄×C₅	—	3	2	no	—
415	C₂²×C₄×C₅	—	3	1	no	—
416	C₂²×C₄×C₅	—	3	2	no	—
417	C₂²×C₄×C₅	—	3	2	no	—
418	C₂²×C₄×C₅	—	3	4	no	—
419	C₂²×C₄×C₅	—	3	2	no	—
420	C₂²×C₄×C₅	—	3	2	no	—
421	C₂²×C₄×C₅	—	3	4	no	—
422	C₂²×C₄×C₅	—	3	4	no	—
423	C₂²×C₄×C₅	—	3	2	no	—
424	C₂²×C₄×C₅	—	3	2	no	—
425	C₂²×C₄×C₅	—	6	8	no	—
426	C₂²×C₄×C₅	—	6	8	no	—
427	C₂²×C₄×C₅	—	6	16	no	—
428	C₂²×C₄×C₅	C₂²×D₃	1	2	yes	—
429	C₂²×C₄×C₅	C₂²×D₃	1	4	yes	—
430	C₂²×C₄×C₅	C₂²×D₃	1	2	yes	—
431	C₅×C₄⋊C₄	—	3	2	no	—
432	C₅×C₄⋊C₄	—	3	1	no	—
433	C₅×C₄⋊C₄	—	3	4	no	—
434	C₅×C₄⋊C₄	—	3	2	no	—
435	C₅×C₄⋊C₄	—	3	4	no	—
436	C₅×C₄⋊C₄	—	3	4	no	—
437	C₅×C₄⋊C₄	—	3	4	no	—
438	C₅×C₄⋊C₄	—	3	2	no	—
439	C₅×C₄⋊C₄	—	3	1	no	—
440	C₅×C₄⋊C₄	—	3	4	no	—
441	C₅×C₄⋊C₄	—	3	2	no	—
442	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
443	C₅×C₄⋊C₄	C₂²×D₃	1	2	yes	—
444	C₅×C₄⋊C₄	C₂²×D₃	1	4	yes	—
445	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
446	C₅×C₄⋊C₄	C₂²×D₃	1	2	yes	—
447	C₅×C₂²⋊C₄	—	3	2	no	—
448	C₅×C₂²⋊C₄	—	3	2	no	—
449	C₅×C₂²⋊C₄	—	3	4	no	—
450	C₅×C₂²⋊C₄	—	3	2	no	—
451	C₅×C₂²⋊C₄	—	3	2	no	—
452	C₅×C₂²⋊C₄	—	3	2	no	—
453	C₅×C₂²⋊C₄	—	3	2	no	—
454	C₅×C₂²⋊C₄	—	3	4	no	—
455	C₅×C₂²⋊C₄	—	3	4	no	—
456	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
457	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
458	C₅×C₂²⋊C₄	C₂²×D₃	1	4	yes	—
459	C₄²×C₅	—	3	1	no	—
460	C₄²×C₅	—	3	1	no	—
461	C₄²×C₅	—	3	1	no	—
462	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
463	C₂²×#41	—	3	2	no	—
464	#547	—	3	2	no	—
465	#547	—	3	1	no	—
466	#547	—	3	4	no	—
467	#547	—	3	2	no	—
468	#547	—	3	2	no	—
469	#547	—	3	1	no	—
470	#547	—	3	1	no	—
471	#547	—	3	2	no	—
472	#547	C₅×D₃	1	1	yes	characteristic, direct product factor
473	C₂×C₄⋊Q₈	—	3	1	no	—
474	C₂×#123	—	3	4	no	—
475	C₂×C₂²⋊Q₈	—	3	2	no	—
476	C₂×#121	—	3	2	no	—
477	C₂×C₄×D₄	—	3	1	no	—
478	C₂×C₄×D₄	—	3	1	no	—
479	C₂²×C₄⋊C₄	—	3	2	no	—
480	C₂²×C₃×C₅	—	2	2	no	—
481	C₂²×C₃×C₅	—	2	2	no	—
482	C₂²×C₃×C₅	—	2	2	no	—
483	C₂²×C₃×C₅	—	2	2	no	—
484	C₂²×C₃×C₅	—	2	2	no	—
485	C₂²×C₃×C₅	C₂²×D₄	1	4	yes	—
486	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
487	C₂×C₅×D₃	—	2	2	no	—
488	C₂×C₅×D₃	—	2	2	no	—
489	C₂×C₅×D₃	—	2	16	no	—
490	C₂×C₅×D₃	—	2	2	no	—
491	C₂×C₅×D₃	—	2	2	no	—
492	C₂×C₅×D₃	—	2	2	no	—
493	C₂×C₅×D₃	—	4	8	no	—
494	C₂×C₅×D₃	C₂²×D₄	1	4	yes	—
495	C₂×C₅×D₃	C₂²×D₄	1	2	yes	—
496	C₂×C₅×D₃	C₂×#41	1	2	yes	—
497	C₂×C₅×D₃	2₋¹⁺⁴	1	2	yes	—
498	C₃×C₄×C₅	—	2	4	no	—
499	C₃×C₄×C₅	—	2	2	no	—
500	C₃×C₄×C₅	—	2	2	no	—
501	C₃×C₄×C₅	—	2	1	no	—
502	C₃×C₄×C₅	C₂²×D₄	1	2	yes	—
503	C₃×C₄×C₅	C₂×#41	1	2	yes	complemented
504	C₅×Dic₃	—	2	4	no	—
505	C₅×Dic₃	—	2	2	no	—
506	C₅×Dic₃	—	2	2	no	—
507	C₅×Dic₃	—	2	1	no	—
508	C₅×Dic₃	C₂²×D₄	1	2	yes	—
509	C₅×Dic₃	C₂×#41	1	2	yes	complemented
510	C₂³×D₃	C₂³×C₅	1	2	yes	—
511	C₂³×D₃	C₂³×C₅	1	2	yes	—
512	C₃×#41	—	2	8	no	—
513	C₂×C₃×Q₈	C₂³×C₅	1	2	yes	—
514	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
515	C₂×C₃×D₄	C₂³×C₅	1	4	yes	—
516	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
517	C₂²×C₃×C₄	C₂³×C₅	1	4	yes	—
518	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
519	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
520	C₂×#67	C₂³×C₅	1	2	yes	—
521	C₂×#67	C₂³×C₅	1	4	yes	—
522	C₂×#67	C₂³×C₅	1	4	yes	—
523	C₂×#67	C₂³×C₅	1	2	yes	—
524	C₂²×Dic₃	C₂³×C₅	1	2	yes	—
525	C₂²×Dic₃	C₂³×C₅	1	2	yes	—
526	C₂²×Dic₃	C₂³×C₅	1	4	yes	—
527	#239	—	2	8	no	—
528	D₃×Q₈	—	2	8	no	—
529	#237	—	2	8	no	—
530	#237	—	2	16	no	—
531	D₃×D₄	—	2	16	no	—
532	D₃×D₄	—	2	4	no	—
533	D₃×D₄	C₅×D₄	1	8	yes	complemented
534	#235	—	2	16	no	—
535	#235	—	2	8	no	—
536	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic
537	C₂×D₁₂	C₂³×C₅	1	4	yes	—
538	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic
539	C₂×C₄×D₃	—	2	16	no	—
540	C₂×C₄×D₃	—	2	8	no	—
541	C₂×C₄×D₃	—	2	8	no	—
542	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
543	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
544	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
545	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
546	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
547	C₂×C₄×D₃	C₂³×C₅	1	4	yes	—
548	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
549	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
550	C₂×C₄×D₃	C₂³×C₅	1	4	yes	—
551	C₂×C₄×D₃	C₂³×C₅	1	4	yes	—
552	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
553	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
554	C₂×Dic₆	C₂³×C₅	1	2	yes	—
555	C₂×Dic₆	C₂³×C₅	1	4	yes	—
556	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
557	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
558	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
559	C₃×C₄⋊C₄	C₂³×C₅	1	4	yes	—
560	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
561	C₃×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
562	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
563	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
564	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
565	#217	C₂³×C₅	1	4	yes	—
566	#217	C₂³×C₅	1	2	yes	—
567	#217	C₂³×C₅	1	2	yes	—
568	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
569	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
570	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
571	(C₂×D₃)⋊C₄	C₂³×C₅	1	4	yes	—
572	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
573	(C₂×D₃)⋊C₄	C₂³×C₅	1	4	yes	—
574	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
575	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
576	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
577	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
578	C₄⋊Dic₃	C₂³×C₅	1	4	yes	—
579	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
580	Dic₃⋊C₄	C₂³×C₅	1	4	yes	—
581	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
582	Dic₃⋊C₄	C₂³×C₅	1	4	yes	—
583	Dic₃⋊C₄	C₂³×C₅	1	4	yes	—
584	Dic₃⋊C₄	C₂³×C₅	1	4	yes	—
585	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
586	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
587	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
588	C₂³×C₅	—	3	1	no	—
589	C₂³×C₅	—	3	8	no	—
590	C₂³×C₅	—	3	2	no	—
591	C₂³×C₅	—	3	2	no	—
592	C₂³×C₅	—	6	4	no	—
593	C₂³×C₅	—	6	4	no	—
594	C₂³×C₅	—	6	4	no	—
595	C₂³×C₅	—	6	4	no	—
596	C₂³×C₅	—	6	4	no	—
597	C₂³×C₅	C₂³×D₃	1	2	yes	—
598	C₂³×C₅	C₂³×D₃	1	2	yes	—
599	C₅×Q₈	—	2	4	no	—
600	C₅×Q₈	—	6	8	no	—
601	C₅×Q₈	—	6	4	no	—
602	C₅×D₄	—	2	8	no	—
603	C₅×D₄	—	2	2	no	—
604	C₅×D₄	—	3	8	no	—
605	C₅×D₄	—	3	4	no	—
606	C₅×D₄	—	6	8	no	—
607	C₅×D₄	—	6	4	no	—
608	C₅×D₄	—	6	8	no	—
609	C₅×D₄	—	6	8	no	—
610	C₅×D₄	—	6	2	no	—
611	C₅×D₄	D₃×D₄	1	4	yes	complemented
612	C₂×C₄×C₅	—	2	8	no	—
613	C₂×C₄×C₅	—	2	4	no	—
614	C₂×C₄×C₅	—	2	4	no	—
615	C₂×C₄×C₅	—	3	1	no	—
616	C₂×C₄×C₅	—	3	1	no	—
617	C₂×C₄×C₅	—	3	4	no	—
618	C₂×C₄×C₅	—	3	4	no	—
619	C₂×C₄×C₅	—	3	1	no	—
620	C₂×C₄×C₅	—	3	2	no	—
621	C₂×C₄×C₅	—	3	2	no	—
622	C₂×C₄×C₅	—	3	4	no	—
623	C₂×C₄×C₅	—	6	4	no	—
624	C₂×C₄×C₅	—	6	4	no	—
625	C₂×C₄×C₅	—	6	2	no	—
626	C₂×C₄×C₅	—	6	4	no	—
627	C₂×C₄×C₅	—	6	4	no	—
628	C₂×C₄×C₅	—	6	8	no	—
629	C₂×C₄×C₅	—	6	8	no	—
630	C₂×C₄×C₅	—	6	8	no	—
631	C₂×C₄×C₅	—	6	4	no	—
632	C₂×C₄×C₅	—	6	4	no	—
633	C₂×C₄×C₅	—	6	8	no	—
634	C₂×C₄×C₅	—	6	4	no	—
635	C₂×C₄×C₅	—	6	4	no	—
636	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
637	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
638	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
639	C₂×C₄×C₅	C₂³×D₃	1	4	yes	—
640	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
641	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
642	C₂×#41	—	3	2	no	—
643	C₂×#41	—	3	2	no	—
644	C₂×#41	—	3	4	no	—
645	C₂×#41	—	3	2	no	—
646	C₂×#41	—	3	4	no	—
647	C₂×#41	—	6	16	no	—
648	C₂×#41	C₂×C₅×D₃	1	2	yes	complemented
649	C₂²×Q₈	—	3	2	no	—
650	C₂²×D₄	—	3	1	no	—
651	C₂²×D₄	—	3	1	no	—
652	C₂²×D₄	—	3	4	no	—
653	C₂³×C₄	—	3	2	no	—
654	C₂³×C₄	—	3	4	no	—
655	C₂³×C₄	—	3	2	no	—
656	C₄⋊Q₈	—	3	2	no	—
657	C₄⋊Q₈	—	3	2	no	—
658	C₄⋊Q₈	—	3	2	no	—
659	C₄⋊Q₈	—	3	1	no	—
660	C₄⋊Q₈	C₂×C₅×D₃	1	1	yes	characteristic, complemented
661	#123	—	3	4	no	—
662	#123	—	3	4	no	—
663	#123	—	3	4	no	—
664	#123	—	3	4	no	—
665	#123	—	3	4	no	—
666	#123	—	3	4	no	—
667	#123	—	3	4	no	—
668	#123	C₂×C₅×D₃	1	4	yes	complemented
669	C₂²⋊Q₈	—	3	2	no	—
670	C₂²⋊Q₈	—	3	2	no	—
671	C₂²⋊Q₈	—	3	4	no	—
672	C₂²⋊Q₈	—	3	2	no	—
673	C₂²⋊Q₈	—	3	4	no	—
674	C₂²⋊Q₈	C₂×C₅×D₃	1	2	yes	complemented
675	#121	—	3	2	no	—
676	#121	—	3	4	no	—
677	#121	—	3	2	no	—
678	#121	—	3	2	no	—
679	#121	—	3	4	no	—
680	#121	C₂×C₅×D₃	1	2	yes	complemented
681	C₄×D₄	—	3	1	no	—
682	C₄×D₄	—	3	1	no	—
683	C₄×D₄	—	3	2	no	—
684	C₄×D₄	—	3	2	no	—
685	C₄×D₄	—	3	1	no	—
686	C₄×D₄	—	3	1	no	—
687	C₄×D₄	—	3	2	no	—
688	C₄×D₄	—	3	2	no	—
689	C₄×D₄	—	3	1	no	—
690	C₄×D₄	—	3	1	no	—
691	C₄×D₄	C₂×C₅×D₃	1	1	yes	characteristic, complemented
692	C₄×D₄	C₂×C₅×D₃	1	1	yes	characteristic, complemented
693	C₂×C₄⋊C₄	—	3	4	no	—
694	C₂×C₄⋊C₄	—	3	2	no	—
695	C₂×C₄⋊C₄	—	3	1	no	—
696	C₂×C₄⋊C₄	—	3	2	no	—
697	C₂×C₄⋊C₄	—	3	4	no	—
698	C₂×C₄⋊C₄	—	3	4	no	—
699	C₂×C₄⋊C₄	—	3	2	no	—
700	C₂×C₄⋊C₄	—	3	2	no	—
701	C₂×C₄⋊C₄	—	3	1	no	—
702	C₂×C₄⋊C₄	—	3	2	no	—
703	C₂×C₄⋊C₄	C₂×C₅×D₃	1	2	yes	complemented
704	C₂×C₂²⋊C₄	—	3	2	no	—
705	C₂×C₂²⋊C₄	—	3	2	no	—
706	C₂×C₂²⋊C₄	—	3	4	no	—
707	C₂×C₄²	—	3	1	no	—
708	C₂×C₃×C₅	—	2	4	no	—
709	C₂×C₃×C₅	—	4	2	no	—
710	C₂×C₃×C₅	C₂³×D₄	1	1	yes	characteristic
711	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
712	C₂×C₃×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
713	C₅×D₃	—	2	4	no	—
714	C₅×D₃	—	4	2	no	—
715	C₅×D₃	#547	1	4	yes	direct product factor
716	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
717	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
718	C₂²×D₃	—	2	4	no	—
719	C₂²×D₃	—	2	4	no	—
720	C₂²×D₃	—	2	4	no	—
721	C₂²×D₃	—	2	4	no	—
722	C₂²×D₃	—	2	4	no	—
723	C₂²×D₃	C₂×C₅×D₄	1	8	yes	—
724	C₂²×D₃	C₂⁴×C₅	1	2	yes	—
725	C₂²×D₃	C₂⁴×C₅	1	2	yes	—
726	C₂²×D₃	C₂⁴×C₅	1	1	yes	characteristic
727	C₃×Q₈	—	2	4	no	—
728	C₃×D₄	—	2	8	no	—
729	C₃×D₄	—	2	2	no	—
730	C₃×D₄	C₂×C₅×D₄	1	4	yes	complemented
731	C₂×C₃×C₄	—	2	8	no	—
732	C₂×C₃×C₄	—	2	4	no	—
733	C₂×C₃×C₄	—	2	4	no	—
734	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
735	C₂×C₃×C₄	C₂⁴×C₅	1	4	yes	—
736	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
737	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
738	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
739	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
740	#67	—	2	8	no	—
741	#67	—	2	8	no	—
742	#67	—	2	4	no	—
743	#67	C₂×C₅×D₄	1	8	yes	complemented
744	C₂×Dic₃	—	2	8	no	—
745	C₂×Dic₃	—	2	4	no	—
746	C₂×Dic₃	—	2	4	no	—
747	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
748	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
749	C₂×Dic₃	C₂⁴×C₅	1	4	yes	—
750	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
751	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
752	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
753	D₁₂	—	2	8	no	—
754	D₁₂	—	2	2	no	—
755	D₁₂	C₂×C₅×D₄	1	4	yes	complemented
756	C₄×D₃	—	2	4	no	—
757	C₄×D₃	—	2	8	no	—
758	C₄×D₃	—	2	8	no	—
759	C₄×D₃	—	2	8	no	—
760	C₄×D₃	—	2	4	no	—
761	C₄×D₃	—	2	2	no	—
762	C₄×D₃	—	2	4	no	—
763	C₄×D₃	—	2	4	no	—
764	C₄×D₃	—	2	4	no	—
765	C₄×D₃	—	2	4	no	—
766	C₄×D₃	C₂×C₅×D₄	1	4	yes	—
767	C₄×D₃	C₅×#41	1	4	yes	complemented
768	Dic₆	—	2	4	no	—
769	Dic₆	—	2	8	no	—
770	C₂²×C₅	—	2	2	no	—
771	C₂²×C₅	—	2	2	no	—
772	C₂²×C₅	—	2	2	no	—
773	C₂²×C₅	—	2	2	no	—
774	C₂²×C₅	—	2	2	no	—
775	C₂²×C₅	—	3	2	no	—
776	C₂²×C₅	—	3	2	no	—
777	C₂²×C₅	—	3	2	no	—
778	C₂²×C₅	—	3	4	no	—
779	C₂²×C₅	—	6	16	no	—
780	C₂²×C₅	—	6	2	no	—
781	C₂²×C₅	—	6	2	no	—
782	C₂²×C₅	—	6	2	no	—
783	C₂²×C₅	—	6	2	no	—
784	C₂²×C₅	—	6	2	no	—
785	C₂²×C₅	—	12	8	no	—
786	C₂²×C₅	C₂×D₃×D₄	1	4	yes	—
787	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
788	C₄×C₅	—	2	2	no	—
789	C₄×C₅	—	2	4	no	—
790	C₄×C₅	—	2	2	no	—
791	C₄×C₅	—	2	1	no	—
792	C₄×C₅	—	3	2	no	—
793	C₄×C₅	—	3	2	no	—
794	C₄×C₅	—	6	2	no	—
795	C₄×C₅	—	6	4	no	—
796	C₄×C₅	—	6	2	no	—
797	C₄×C₅	—	6	1	no	—
798	C₄×C₅	C₂×D₃×D₄	1	2	yes	—
799	C₄×C₅	D₃×#41	1	2	yes	complemented
800	C₂⁴	—	3	2	no	—
801	C₂⁴	—	3	2	no	—
802	#41	—	2	8	no	—
803	#41	—	6	16	no	—
804	#41	—	6	8	no	—
805	#41	—	6	16	no	—
806	#41	—	6	8	no	—
807	#41	—	6	8	no	—
808	C₂×Q₈	—	3	4	no	—
809	C₂×Q₈	—	3	2	no	—
810	C₂×Q₈	—	6	8	no	—
811	C₂×Q₈	C₂²×C₅×D₃	1	2	yes	—
812	C₂×D₄	—	3	2	no	—
813	C₂×D₄	—	3	8	no	—
814	C₂×D₄	—	3	2	no	—
815	C₂×D₄	—	3	4	no	—
816	C₂×D₄	—	3	4	no	—
817	C₂×D₄	—	3	1	no	—
818	C₂×D₄	—	3	1	no	—
819	C₂×D₄	—	3	4	no	—
820	C₂×D₄	—	6	4	no	—
821	C₂×D₄	—	6	16	no	—
822	C₂×D₄	C₂²×C₅×D₃	1	1	yes	characteristic
823	C₂×D₄	C₂²×C₅×D₃	1	4	yes	—
824	C₂×D₄	C₂²×C₅×D₃	1	1	yes	characteristic
825	C₂²×C₄	—	3	1	no	—
826	C₂²×C₄	—	3	1	no	—
827	C₂²×C₄	—	3	2	no	—
828	C₂²×C₄	—	3	4	no	—
829	C₂²×C₄	—	3	2	no	—
830	C₂²×C₄	—	3	1	no	—
831	C₂²×C₄	—	3	2	no	—
832	C₂²×C₄	—	3	2	no	—
833	C₂²×C₄	—	3	4	no	—
834	C₂²×C₄	—	3	2	no	—
835	C₂²×C₄	—	3	2	no	—
836	C₂²×C₄	—	3	4	no	—
837	C₂²×C₄	—	3	4	no	—
838	C₂²×C₄	—	3	2	no	—
839	C₂²×C₄	—	3	2	no	—
840	C₂²×C₄	—	6	8	no	—
841	C₂²×C₄	—	6	8	no	—
842	C₂²×C₄	—	6	16	no	—
843	C₂²×C₄	C₂²×C₅×D₃	1	2	yes	—
844	C₂²×C₄	C₂²×C₅×D₃	1	4	yes	—
845	C₂²×C₄	C₂²×C₅×D₃	1	2	yes	—
846	C₄⋊C₄	—	3	2	no	—
847	C₄⋊C₄	—	3	1	no	—
848	C₄⋊C₄	—	3	4	no	—
849	C₄⋊C₄	—	3	2	no	—
850	C₄⋊C₄	—	3	4	no	—
851	C₄⋊C₄	—	3	4	no	—
852	C₄⋊C₄	—	3	4	no	—
853	C₄⋊C₄	—	3	2	no	—
854	C₄⋊C₄	—	3	1	no	—
855	C₄⋊C₄	—	3	4	no	—
856	C₄⋊C₄	—	3	2	no	—
857	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
858	C₄⋊C₄	C₂²×C₅×D₃	1	2	yes	—
859	C₄⋊C₄	C₂²×C₅×D₃	1	4	yes	—
860	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
861	C₄⋊C₄	C₂²×C₅×D₃	1	2	yes	—
862	C₂²⋊C₄	—	3	2	no	—
863	C₂²⋊C₄	—	3	2	no	—
864	C₂²⋊C₄	—	3	4	no	—
865	C₂²⋊C₄	—	3	2	no	—
866	C₂²⋊C₄	—	3	2	no	—
867	C₂²⋊C₄	—	3	2	no	—
868	C₂²⋊C₄	—	3	2	no	—
869	C₂²⋊C₄	—	3	4	no	—
870	C₂²⋊C₄	—	3	4	no	—
871	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
872	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
873	C₂²⋊C₄	C₂²×C₅×D₃	1	4	yes	—
874	C₄²	—	3	1	no	—
875	C₄²	—	3	1	no	—
876	C₄²	—	3	1	no	—
877	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
878	C₃×C₅	C₂×#547	1	1	yes	characteristic, complemented, Hall
879	C₂²×C₃	—	2	2	no	—
880	C₂²×C₃	—	2	2	no	—
881	C₂²×C₃	—	2	2	no	—
882	C₂²×C₃	—	2	2	no	—
883	C₂²×C₃	—	2	2	no	—
884	C₂²×C₃	C₂²×C₅×D₄	1	4	yes	—
885	C₂²×C₃	C₂⁵×C₅	1	1	yes	characteristic
886	C₂×D₃	—	2	2	no	—
887	C₂×D₃	—	2	2	no	—
888	C₂×D₃	—	2	16	no	—
889	C₂×D₃	—	2	2	no	—
890	C₂×D₃	—	2	2	no	—
891	C₂×D₃	—	2	2	no	—
892	C₂×D₃	—	4	8	no	—
893	C₂×D₃	C₂²×C₅×D₄	1	4	yes	—
894	C₂×D₃	C₂²×C₅×D₄	1	2	yes	—
895	C₂×D₃	C₂×C₅×#41	1	2	yes	—
896	C₂×D₃	C₅×2₋¹⁺⁴	1	2	yes	—
897	C₃×C₄	—	2	4	no	—
898	C₃×C₄	—	2	2	no	—
899	C₃×C₄	—	2	2	no	—
900	C₃×C₄	—	2	1	no	—
901	C₃×C₄	C₂²×C₅×D₄	1	2	yes	—
902	C₃×C₄	C₂×C₅×#41	1	2	yes	complemented
903	Dic₃	—	2	4	no	—
904	Dic₃	—	2	2	no	—
905	Dic₃	—	2	2	no	—
906	Dic₃	—	2	1	no	—
907	Dic₃	C₂²×C₅×D₄	1	2	yes	—
908	Dic₃	C₂×C₅×#41	1	2	yes	complemented
909	C₂×C₅	—	2	4	no	—
910	C₂×C₅	—	3	4	no	—
911	C₂×C₅	—	4	2	no	—
912	C₂×C₅	—	6	4	no	—
913	C₂×C₅	—	12	2	no	—
914	C₂×C₅	C₂²×D₃×D₄	1	1	yes	characteristic
915	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
916	C₂×C₅	D₃×2₋¹⁺⁴	1	1	yes	characteristic
917	C₂³	—	3	1	no	—
918	C₂³	—	3	8	no	—
919	C₂³	—	3	2	no	—
920	C₂³	—	3	2	no	—
921	C₂³	—	6	4	no	—
922	C₂³	—	6	4	no	—
923	C₂³	—	6	4	no	—
924	C₂³	—	6	4	no	—
925	C₂³	—	6	4	no	—
926	C₂³	C₂³×C₅×D₃	1	2	yes	—
927	C₂³	C₂³×C₅×D₃	1	2	yes	—
928	Q₈	—	2	4	no	—
929	Q₈	—	6	8	no	—
930	Q₈	—	6	4	no	—
931	D₄	—	2	8	no	—
932	D₄	—	2	2	no	—
933	D₄	—	3	8	no	—
934	D₄	—	3	4	no	—
935	D₄	—	6	8	no	—
936	D₄	—	6	4	no	—
937	D₄	—	6	8	no	—
938	D₄	—	6	8	no	—
939	D₄	—	6	2	no	—
940	D₄	C₅×D₃×D₄	1	4	yes	complemented
941	C₂×C₄	—	2	8	no	—
942	C₂×C₄	—	2	4	no	—
943	C₂×C₄	—	2	4	no	—
944	C₂×C₄	—	3	1	no	—
945	C₂×C₄	—	3	1	no	—
946	C₂×C₄	—	3	4	no	—
947	C₂×C₄	—	3	4	no	—
948	C₂×C₄	—	3	1	no	—
949	C₂×C₄	—	3	2	no	—
950	C₂×C₄	—	3	2	no	—
951	C₂×C₄	—	3	4	no	—
952	C₂×C₄	—	6	4	no	—
953	C₂×C₄	—	6	4	no	—
954	C₂×C₄	—	6	4	no	—
955	C₂×C₄	—	6	8	no	—
956	C₂×C₄	—	6	8	no	—
957	C₂×C₄	—	6	8	no	—
958	C₂×C₄	—	6	4	no	—
959	C₂×C₄	—	6	2	no	—
960	C₂×C₄	—	6	4	no	—
961	C₂×C₄	—	6	4	no	—
962	C₂×C₄	—	6	8	no	—
963	C₂×C₄	—	6	4	no	—
964	C₂×C₄	—	6	4	no	—
965	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
966	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
967	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
968	C₂×C₄	C₂³×C₅×D₃	1	4	yes	—
969	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
970	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
971	C₂×C₃	—	2	4	no	—
972	C₂×C₃	—	4	2	no	—
973	C₂×C₃	C₂³×C₅×D₄	1	1	yes	characteristic
974	C₂×C₃	C₂²×C₅×#41	1	1	yes	characteristic
975	C₂×C₃	C₂×C₅×2₋¹⁺⁴	1	1	yes	characteristic
976	D₃	—	2	4	no	—
977	D₃	—	4	2	no	—
978	D₃	C₅×#547	1	4	yes	direct product factor
979	C₅	D₃×#547	1	1	yes	characteristic, direct product factor, Sylow
980	C₂²	—	2	2	no	—
981	C₂²	—	2	2	no	—
982	C₂²	—	2	2	no	—
983	C₂²	—	2	2	no	—
984	C₂²	—	2	2	no	—
985	C₂²	—	3	2	no	—
986	C₂²	—	3	2	no	—
987	C₂²	—	3	2	no	—
988	C₂²	—	3	4	no	—
989	C₂²	—	6	16	no	—
990	C₂²	—	6	2	no	—
991	C₂²	—	6	2	no	—
992	C₂²	—	6	2	no	—
993	C₂²	—	6	2	no	—
994	C₂²	—	6	2	no	—
995	C₂²	—	12	8	no	—
996	C₂²	C₂×C₅×D₃×D₄	1	4	yes	—
997	C₂²	C₂⁴×C₅×D₃	1	1	yes	characteristic
998	C₄	—	2	2	no	—
999	C₄	—	2	4	no	—
1000	C₄	—	2	2	no	—
1001	C₄	—	2	1	no	—
1002	C₄	—	3	2	no	—
1003	C₄	—	3	2	no	—
1004	C₄	—	6	2	no	—
1005	C₄	—	6	4	no	—
1006	C₄	—	6	2	no	—
1007	C₄	—	6	1	no	—
1008	C₄	C₂×C₅×D₃×D₄	1	2	yes	—
1009	C₄	C₅×D₃×#41	1	2	yes	complemented
1010	C₃	C₂×C₅×#547	1	1	yes	characteristic, complemented, Sylow
1011	C₂	—	2	4	no	—
1012	C₂	—	3	4	no	—
1013	C₂	—	4	2	no	—
1014	C₂	—	6	4	no	—
1015	C₂	—	12	2	no	—
1016	C₂	C₂²×C₅×D₃×D₄	1	1	yes	characteristic
1017	C₂	C₂×C₅×D₃×#41	1	1	yes	characteristic
1018	C₂	C₅×D₃×2₋¹⁺⁴	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₅	C₂⁴×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₅
Frattini	C₂²	C₂⁴×C₅×D₃
Fitting	C₃×C₅×#547	C₂
socle	C₂²×C₃×C₅	C₂⁵
hypercenter	C₅×#547	D₃
hypocenter	C₃	C₂×C₅×#547
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₅ ◁ C₅×#547

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×D₃×#41	C₂	semidirect
2. C₃×C₅×#547	C₂	semidirect
3. C₅×#5824	C₂	semidirect
4. C₅×#5726	C₂	semidirect
5. C₅×D₃×C₄⋊Q₈	C₂	semidirect
6. C₅×#5655	C₂	semidirect
7. C₅×D₃×#123	C₂	semidirect
8. C₅×#5631	C₂	semidirect
9. C₅×D₃×C₂²⋊Q₈	C₂	semidirect
10. C₅×#5611	C₂	semidirect
11. C₅×D₃×#121	C₂	semidirect
12. C₅×#5555	C₂	semidirect
13. C₅×#5551	C₂	semidirect
14. C₄×C₅×D₃×D₄	C₂	semidirect
15. C₄×C₅×D₃×D₄	C₂	semidirect
16. C₅×#5507	C₂	semidirect
17. C₂×C₅×D₃×C₄⋊C₄	C₂	semidirect
19. C₂×C₃×C₅×#41	C₂²	semidirect
21. C₂×C₅×#239	C₂²	semidirect
23. C₂×C₅×#237	C₂²	semidirect
24. C₂×C₅×#237	C₂²	semidirect
28. C₂×C₅×#235	C₂²	semidirect
29. C₂×C₅×#235	C₂²	semidirect
33. C₃×C₅×C₄⋊Q₈	C₂²	semidirect
34. C₃×C₅×#123	C₂²	semidirect
35. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
36. C₃×C₅×#121	C₂²	semidirect
37. C₃×C₄×C₅×D₄	C₂²	semidirect
38. C₃×C₄×C₅×D₄	C₂²	semidirect
39. C₂×C₃×C₅×C₄⋊C₄	C₂²	semidirect
40. C₅×#946	C₂²	semidirect
41. C₅×#944	C₂²	semidirect
42. C₅×#939	C₂²	semidirect
43. C₅×#938	C₂²	semidirect
44. C₅×#935	C₂²	semidirect
45. C₅×D₄×Dic₃	C₂²	semidirect
46. C₅×D₄×Dic₃	C₂²	semidirect
47. C₅×#930	C₂²	semidirect
48. C₅×#929	C₂²	semidirect
49. C₄×C₅×#67	C₂²	semidirect
50. C₄×C₅×#67	C₂²	semidirect
51. C₂×C₅×C₄⋊Dic₃	C₂²	semidirect
52. C₅×#924	C₂²	semidirect
53. C₂×C₅×Dic₃⋊C₄	C₂²	semidirect
54. C₅×#897	C₂²	semidirect
55. C₅×#896	C₂²	semidirect
56. C₅×#895	C₂²	semidirect
57. C₅×#894	C₂²	semidirect
58. C₅×#894	C₂²	semidirect
59. C₅×#893	C₂²	semidirect
60. C₅×#893	C₂²	semidirect
66. C₅×D₃×C₄⋊C₄	C₂²	semidirect
67. C₅×D₃×C₄⋊C₄	C₂²	semidirect
68. C₅×D₃×C₄⋊C₄	C₂²	semidirect
69. C₅×#888	C₂²	semidirect
70. C₅×#888	C₂²	semidirect
71. C₅×#886	C₂²	semidirect
72. C₅×#884	C₂²	semidirect
73. C₅×#883	C₂²	semidirect
74. C₅×#883	C₂²	semidirect
75. C₅×#67⋊C₄	C₂²	semidirect
76. C₅×#67⋊C₄	C₂²	semidirect
80. C₅×#878	C₂²	semidirect
81. C₄×C₅×D₁₂	C₂²	semidirect
82. C₄×C₅×D₁₂	C₂²	semidirect
84. C₅×#869	C₂²	semidirect
85. D₃×#547	C₅	direct (N × H)
95. C₅×#547	D₃	direct (N × H)
126. C₅×D₃×D₄	D₄	semidirect
181. C₂×D₃×#41	C₂×C₅	semidirect
182. C₃×#547	C₂×C₅	semidirect
183. #5824	C₂×C₅	semidirect
184. #5726	C₂×C₅	semidirect
185. D₃×C₄⋊Q₈	C₂×C₅	semidirect
186. #5655	C₂×C₅	semidirect
187. D₃×#123	C₂×C₅	semidirect
188. #5631	C₂×C₅	semidirect
189. D₃×C₂²⋊Q₈	C₂×C₅	semidirect
190. #5611	C₂×C₅	semidirect
191. D₃×#121	C₂×C₅	semidirect
192. #5555	C₂×C₅	semidirect
193. #5551	C₂×C₅	semidirect
194. C₄×D₃×D₄	C₂×C₅	semidirect
195. C₄×D₃×D₄	C₂×C₅	semidirect
196. #5507	C₂×C₅	semidirect
197. C₂×D₃×C₄⋊C₄	C₂×C₅	semidirect
204. C₂×C₅×#41	C₂×D₃	semidirect
216. C₅×C₄⋊Q₈	C₂×D₃	semidirect
224. C₅×#123	C₂×D₃	semidirect
230. C₅×C₂²⋊Q₈	C₂×D₃	semidirect
236. C₅×#121	C₂×D₃	semidirect
247. C₄×C₅×D₄	C₂×D₃	semidirect
248. C₄×C₅×D₄	C₂×D₃	semidirect
259. C₂×C₅×C₄⋊C₄	C₂×D₃	semidirect
279. C₃×C₅×D₄	C₂×D₄	semidirect
292. C₅×#67	C₂×D₄	semidirect
304. C₅×D₁₂	C₂×D₄	semidirect
316. C₄×C₅×D₃	#41	semidirect
319. C₂×C₃×#41	C₂²×C₅	semidirect
321. C₂×#239	C₂²×C₅	semidirect
323. C₂×#237	C₂²×C₅	semidirect
324. C₂×#237	C₂²×C₅	semidirect
328. C₂×#235	C₂²×C₅	semidirect
329. C₂×#235	C₂²×C₅	semidirect
333. C₃×C₄⋊Q₈	C₂²×C₅	semidirect
334. C₃×#123	C₂²×C₅	semidirect
335. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
336. C₃×#121	C₂²×C₅	semidirect
337. C₃×C₄×D₄	C₂²×C₅	semidirect
338. C₃×C₄×D₄	C₂²×C₅	semidirect
339. C₂×C₃×C₄⋊C₄	C₂²×C₅	semidirect
340. #946	C₂²×C₅	semidirect
341. #944	C₂²×C₅	semidirect
342. #939	C₂²×C₅	semidirect
343. #938	C₂²×C₅	semidirect
344. #935	C₂²×C₅	semidirect
345. D₄×Dic₃	C₂²×C₅	semidirect
346. D₄×Dic₃	C₂²×C₅	semidirect
347. #930	C₂²×C₅	semidirect
348. #929	C₂²×C₅	semidirect
349. C₄×#67	C₂²×C₅	semidirect
350. C₄×#67	C₂²×C₅	semidirect
351. C₂×C₄⋊Dic₃	C₂²×C₅	semidirect
352. #924	C₂²×C₅	semidirect
353. C₂×Dic₃⋊C₄	C₂²×C₅	semidirect
354. #897	C₂²×C₅	semidirect
355. #896	C₂²×C₅	semidirect
356. #895	C₂²×C₅	semidirect
357. #894	C₂²×C₅	semidirect
358. #894	C₂²×C₅	semidirect
359. #893	C₂²×C₅	semidirect
360. #893	C₂²×C₅	semidirect
366. D₃×C₄⋊C₄	C₂²×C₅	semidirect
367. D₃×C₄⋊C₄	C₂²×C₅	semidirect
368. D₃×C₄⋊C₄	C₂²×C₅	semidirect
369. #888	C₂²×C₅	semidirect
370. #888	C₂²×C₅	semidirect
371. #886	C₂²×C₅	semidirect
372. #884	C₂²×C₅	semidirect
373. #883	C₂²×C₅	semidirect
374. #883	C₂²×C₅	semidirect
375. #67⋊C₄	C₂²×C₅	semidirect
376. #67⋊C₄	C₂²×C₅	semidirect
380. #878	C₂²×C₅	semidirect
381. C₄×D₁₂	C₂²×C₅	semidirect
382. C₄×D₁₂	C₂²×C₅	semidirect
384. #869	C₂²×C₅	semidirect
472. #547	C₅×D₃	direct (N × H)
503. C₃×C₄×C₅	C₂×#41	semidirect
509. C₅×Dic₃	C₂×#41	semidirect
533. D₃×D₄	C₅×D₄	semidirect
611. C₅×D₄	D₃×D₄	semidirect
648. C₂×#41	C₂×C₅×D₃	semidirect
660. C₄⋊Q₈	C₂×C₅×D₃	semidirect
668. #123	C₂×C₅×D₃	semidirect
674. C₂²⋊Q₈	C₂×C₅×D₃	semidirect
680. #121	C₂×C₅×D₃	semidirect
691. C₄×D₄	C₂×C₅×D₃	semidirect
692. C₄×D₄	C₂×C₅×D₃	semidirect
703. C₂×C₄⋊C₄	C₂×C₅×D₃	semidirect
715. C₅×D₃	#547	direct (N × H)
730. C₃×D₄	C₂×C₅×D₄	semidirect
743. #67	C₂×C₅×D₄	semidirect
755. D₁₂	C₂×C₅×D₄	semidirect
767. C₄×D₃	C₅×#41	semidirect
799. C₄×C₅	D₃×#41	semidirect
878. C₃×C₅	C₂×#547	semidirect
902. C₃×C₄	C₂×C₅×#41	semidirect
908. Dic₃	C₂×C₅×#41	semidirect
940. D₄	C₅×D₃×D₄	semidirect
978. D₃	C₅×#547	direct (N × H)
979. C₅	D₃×#547	direct (N × H)
1009. C₄	C₅×D₃×#41	semidirect
1010. C₃	C₂×C₅×#547	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₅×D₃×#41	2
C₃×C₅×#547	2
C₅×#5824	2
C₅×#5726	2
C₅×D₃×C₄⋊Q₈	2
C₅×#5655	2
C₅×D₃×#123	2
C₅×#5631	2
C₅×D₃×C₂²⋊Q₈	2
C₅×#5611	2
C₅×D₃×#121	2
C₅×#5555	2
C₅×#5551	2
C₄×C₅×D₃×D₄	2
C₅×#5507	2
C₂×C₅×D₃×C₄⋊C₄	2
C₂×C₅×#547	3
D₃×#547	5

Subgroups — C5×D3×#547 #14482667

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×D₃×#547 #14482667