Subgroups — C₅×D₄×#235 #14483048

Order 1920.

3296 conjugacy classes of subgroups.

The subgroup lattice has 1024 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₅×#235	C₂	1	2	yes	maximal, complemented
2	C₂×C₃×C₄×C₅×D₄	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×D₄×#67	C₂	1	2	yes	maximal, complemented
4	C₅×#5791	C₂	1	2	yes	maximal, complemented
5	C₅×#5553	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅×#5552	C₂	1	2	yes	maximal, complemented
7	C₅×#5551	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅×#5550	C₂	1	2	yes	maximal, complemented
9	C₅×D₄×D₁₂	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅×#5548	C₂	1	2	yes	maximal, complemented
11	C₅×#5547	C₂	1	4	yes	maximal, complemented
12	C₄×C₅×D₃×D₄	C₂	1	2	yes	maximal, complemented
13	C₅×D₄×Dic₆	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#5507	C₂	1	2	yes	maximal, complemented
15	C₅×#5490	C₂	1	4	yes	maximal, complemented
16	C₅×#5477	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄×C₅×#235	C₂	1	1	yes	maximal, characteristic, complemented
18	C₅×D₄×#41	—	3	1	no	maximal, Hall
19	C₂²×C₃×C₅×D₄	C₂²	1	1	yes	characteristic
20	C₂³×C₃×C₄×C₅	C₂²	1	2	yes	complemented
21	C₂²×C₅×#67	C₂²	1	4	yes	complemented
22	C₂×C₅×D₃×D₄	C₂²	1	2	yes	—
23	C₂×C₅×#235	—	2	16	no	—
24	C₂×C₅×#235	C₂²	1	1	yes	characteristic
25	C₂×C₅×#235	C₂²	1	2	yes	complemented
26	C₂×C₅×#235	C₂²	1	4	yes	complemented
27	C₂×C₅×#235	C₂²	1	4	yes	complemented
28	C₂×C₅×#235	C₂²	1	2	yes	complemented
29	C₂×C₅×#235	C₂²	1	2	yes	complemented
30	C₂²×C₅×D₁₂	C₂²	1	2	yes	complemented
31	C₂²×C₄×C₅×D₃	C₂²	1	4	yes	complemented
32	C₂²×C₅×Dic₆	C₂²	1	2	yes	complemented
33	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
34	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
35	C₃×C₄×C₅×D₄	C₂²	1	2	yes	complemented
36	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
37	C₃×C₄×C₅×D₄	C₂²	1	2	yes	complemented
38	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
41	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic, complemented
42	C₅×#953	C₂²	1	4	yes	complemented
43	C₅×#940	C₂²	1	2	yes	complemented
44	C₅×#939	C₂²	1	4	yes	complemented
45	C₅×#938	C₂²	1	2	yes	complemented
46	C₅×#937	C₂²	1	4	yes	complemented
47	C₅×D₄×Dic₃	C₂²	1	2	yes	—
48	C₅×#930	C₂²	1	2	yes	complemented
49	C₅×#930	C₂²	1	2	yes	complemented
50	C₅×#930	C₂²	1	2	yes	complemented
51	C₅×#930	C₂²	1	2	yes	complemented
52	C₅×#929	C₂²	1	4	yes	complemented
53	C₄×C₅×#67	C₂²	1	2	yes	complemented
54	C₄×C₅×#67	C₂²	1	2	yes	complemented
55	C₄×C₅×#67	C₂²	1	4	yes	complemented
56	C₄×C₅×#67	C₂²	1	4	yes	complemented
57	C₅×#926	C₂²	1	1	yes	characteristic, complemented
58	C₅×#924	C₂²	1	2	yes	complemented
59	C₅×#924	C₂²	1	2	yes	complemented
60	C₅×#896	C₂²	1	4	yes	complemented
61	C₅×#895	C₂²	1	2	yes	complemented
62	C₅×#894	C₂²	1	4	yes	complemented
63	C₅×#893	C₂²	1	2	yes	complemented
64	C₅×D₃×C₄⋊C₄	C₂²	1	2	yes	complemented
65	C₅×#888	C₂²	1	2	yes	complemented
66	C₅×#885	C₂²	1	4	yes	complemented
67	C₅×#884	C₂²	1	4	yes	complemented
68	C₅×#884	C₂²	1	4	yes	complemented
69	C₅×#883	C₂²	1	4	yes	complemented
70	C₅×#882	C₂²	1	4	yes	complemented
71	C₅×#67⋊C₄	C₂²	1	4	yes	complemented
72	C₅×D₃×C₂²⋊C₄	C₂²	1	4	yes	complemented
73	C₅×#878	C₂²	1	4	yes	complemented
74	C₅×#875	C₂²	1	2	yes	complemented
75	C₅×#874	C₂²	1	1	yes	characteristic, complemented
76	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic, complemented
77	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic, complemented
78	C₄×C₅×D₁₂	C₂²	1	2	yes	complemented
79	C₄×C₅×D₁₂	C₂²	1	2	yes	complemented
80	C₅×#872	C₂²	1	2	yes	complemented
81	C₄²×C₅×D₃	C₂²	1	2	yes	complemented
82	C₅×#869	C₂²	1	1	yes	characteristic, complemented
83	C₄×C₅×Dic₆	C₂²	1	1	yes	characteristic, complemented
84	C₄×C₅×Dic₆	C₂²	1	1	yes	characteristic, complemented
85	D₄×#235	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
86	C₂²×C₅×#41	—	3	2	no	—
87	C₅×#550	—	3	1	no	—
88	C₅×D₄×Q₈	—	3	1	no	—
89	C₅×#548	—	3	2	no	—
90	C₅×#547	—	3	1	no	—
91	C₅×#547	—	3	2	no	—
92	C₅×#546	—	3	2	no	—
93	C₅×#546	—	3	4	no	—
94	C₅×D₄²	—	3	2	no	—
95	C₅×D₄²	—	3	1	no	—
96	C₅×#532	—	3	2	no	—
97	C₅×#532	—	3	1	no	—
98	C₅×#525	—	3	2	no	—
99	C₅×#525	—	3	4	no	—
100	C₄×C₅×#41	—	3	1	no	—
101	C₂×C₄×C₅×D₄	—	3	2	no	—
102	C₂×C₄×C₅×D₄	D₃	1	1	yes	characteristic, complemented
103	C₂⁴×C₃×C₅	C₂³	1	2	yes	—
104	C₂³×C₅×D₃	C₂³	1	4	yes	—
105	C₂×C₃×C₅×D₄	—	2	4	no	—
106	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
107	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
108	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
109	C₂²×C₃×C₄×C₅	—	2	8	no	—
110	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
111	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
112	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
113	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
114	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
115	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
116	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
117	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
118	C₂×C₅×#67	—	2	16	no	—
119	C₂×C₅×#67	C₂³	1	4	yes	—
120	C₂×C₅×#67	C₂³	1	4	yes	—
121	C₂×C₅×#67	C₂³	1	4	yes	—
122	C₂×C₅×#67	C₂³	1	4	yes	—
123	C₂×C₅×#67	C₂³	1	4	yes	—
124	C₂×C₅×#67	C₂³	1	2	yes	—
125	C₂²×C₅×Dic₃	C₂³	1	4	yes	—
126	C₅×D₃×D₄	—	2	8	no	—
127	C₅×#235	—	2	8	no	—
128	C₅×#235	—	2	16	no	—
129	C₅×#235	—	2	8	no	—
130	C₅×#235	—	2	16	no	—
131	C₅×#235	—	2	8	no	—
132	C₅×#235	D₄	1	8	yes	direct product factor
133	C₂×C₅×D₁₂	—	2	8	no	—
134	C₂×C₅×D₁₂	C₂³	1	2	yes	—
135	C₂×C₅×D₁₂	C₂³	1	2	yes	—
136	C₂×C₅×D₁₂	C₂³	1	4	yes	—
137	C₂×C₅×D₁₂	C₂³	1	2	yes	—
138	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
139	C₂×C₄×C₅×D₃	—	2	16	no	—
140	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
141	C₂×C₄×C₅×D₃	C₂³	1	4	yes	—
142	C₂×C₄×C₅×D₃	C₂³	1	4	yes	—
143	C₂×C₄×C₅×D₃	C₂³	1	4	yes	—
144	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
145	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
146	C₂×C₅×Dic₆	—	2	8	no	—
147	C₂×C₅×Dic₆	C₂³	1	2	yes	—
148	C₂×C₅×Dic₆	C₂³	1	4	yes	—
149	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
150	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
151	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
152	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
153	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
154	C₃×C₅×C₂²⋊C₄	C₂³	1	2	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	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
159	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
160	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
161	C₅×#217	C₂³	1	4	yes	—
162	C₅×#217	C₂³	1	4	yes	—
163	C₅×#217	C₂³	1	2	yes	—
164	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
165	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
166	C₅×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
167	C₅×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
168	C₅×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
169	C₅×(C₂×D₃)⋊C₄	C₂³	1	4	yes	—
170	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
171	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
172	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
173	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
174	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
175	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
176	C₅×Dic₃⋊C₄	C₂³	1	4	yes	—
177	C₅×Dic₃⋊C₄	C₂³	1	4	yes	—
178	C₄×C₅×Dic₃	C₂³	1	2	yes	—
179	C₄×C₅×Dic₃	C₂³	1	2	yes	—
180	C₄×C₅×Dic₃	C₂³	1	2	yes	—
181	C₂²×#235	C₂×C₅	1	2	yes	complemented
182	C₂×C₃×C₄×D₄	C₂×C₅	1	1	yes	characteristic, complemented
183	D₄×#67	C₂×C₅	1	2	yes	complemented
184	#5791	C₂×C₅	1	2	yes	complemented
185	#5553	C₂×C₅	1	1	yes	characteristic, complemented
186	#5552	C₂×C₅	1	2	yes	complemented
187	#5551	C₂×C₅	1	1	yes	characteristic, complemented
188	#5550	C₂×C₅	1	2	yes	complemented
189	D₄×D₁₂	C₂×C₅	1	1	yes	characteristic, complemented
190	#5548	C₂×C₅	1	2	yes	complemented
191	#5547	C₂×C₅	1	4	yes	complemented
192	C₄×D₃×D₄	C₂×C₅	1	2	yes	complemented
193	D₄×Dic₆	C₂×C₅	1	1	yes	characteristic, complemented
194	#5507	C₂×C₅	1	2	yes	complemented
195	#5490	C₂×C₅	1	4	yes	complemented
196	#5477	C₂×C₅	1	1	yes	characteristic, complemented
197	C₄×#235	C₂×C₅	1	1	yes	characteristic, complemented
198	C₂×C₅×#41	—	3	1	no	—
199	C₂×C₅×#41	—	3	4	no	—
200	C₂×C₅×#41	—	3	2	no	—
201	C₂×C₅×#41	—	3	2	no	—
202	C₂×C₅×#41	—	3	4	no	—
203	C₂×C₅×#41	—	3	2	no	—
204	C₂×C₅×#41	—	6	16	no	—
205	C₂²×C₅×Q₈	—	3	2	no	—
206	C₂²×C₅×D₄	—	3	4	no	—
207	C₂²×C₅×D₄	—	3	2	no	—
208	C₂²×C₅×D₄	—	3	2	no	—
209	C₂²×C₅×D₄	C₂×D₃	1	1	yes	characteristic
210	C₂³×C₄×C₅	—	3	4	no	—
211	C₂³×C₄×C₅	C₂×D₃	1	2	yes	complemented
212	C₅×C₄⋊Q₈	—	3	2	no	—
213	C₅×C₄⋊Q₈	—	3	1	no	—
214	C₅×#127	—	3	2	no	—
215	C₅×#127	—	3	1	no	—
216	C₅×#124	—	3	4	no	—
217	C₅×#124	—	3	2	no	—
218	C₅×#123	—	3	4	no	—
219	C₅×#123	—	3	4	no	—
220	C₅×#123	—	3	4	no	—
221	C₅×C₂²⋊Q₈	—	3	2	no	—
222	C₅×C₂²⋊Q₈	—	3	2	no	—
223	C₅×C₂²⋊Q₈	—	3	4	no	—
224	C₅×C₂²⋊Q₈	—	3	4	no	—
225	C₅×#121	—	3	2	no	—
226	C₅×#121	—	3	4	no	—
227	C₅×#121	—	3	2	no	—
228	C₅×#121	—	3	2	no	—
229	C₅×#121	—	3	2	no	—
230	C₅×#121	—	3	2	no	—
231	C₅×#121	—	3	2	no	—
232	C₅×#121	—	3	4	no	—
233	C₅×#121	—	3	4	no	—
234	C₅×#120	—	3	4	no	—
235	C₅×#120	—	3	4	no	—
236	C₅×#120	—	3	4	no	—
237	C₄×C₅×Q₈	—	3	1	no	—
238	C₄×C₅×Q₈	—	3	1	no	—
239	C₄×C₅×D₄	—	3	2	no	—
240	C₄×C₅×D₄	—	3	4	no	—
241	C₄×C₅×D₄	—	3	2	no	—
242	C₄×C₅×D₄	—	3	2	no	—
243	C₄×C₅×D₄	—	3	4	no	—
244	C₄×C₅×D₄	—	3	2	no	—
245	C₄×C₅×D₄	—	3	4	no	—
246	C₄×C₅×D₄	—	3	2	no	—
247	C₄×C₅×D₄	—	3	1	no	—
248	C₄×C₅×D₄	—	3	1	no	—
249	C₄×C₅×D₄	—	3	2	no	—
250	C₄×C₅×D₄	C₂×D₃	1	1	yes	characteristic
251	C₄×C₅×D₄	C₂×D₃	1	1	yes	characteristic
252	C₄×C₅×D₄	C₂×D₃	1	2	yes	complemented
253	C₄×C₅×D₄	C₂×D₃	1	1	yes	characteristic, complemented
254	C₄×C₅×D₄	C₂×D₃	1	2	yes	complemented
255	C₄×C₅×D₄	C₂×D₃	1	1	yes	characteristic, complemented
256	C₅×#117	—	3	1	no	—
257	C₅×#117	—	3	2	no	—
258	C₂×C₅×C₄⋊C₄	—	3	2	no	—
259	C₂×C₅×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
260	C₂×C₅×C₂²⋊C₄	—	3	4	no	—
261	C₂×C₅×C₂²⋊C₄	C₂×D₃	1	2	yes	complemented
262	C₂×C₄²×C₅	—	3	2	no	—
263	C₂×C₄²×C₅	C₂×D₃	1	1	yes	characteristic, complemented
264	D₄×#41	—	3	1	no	Sylow
265	C₂³×C₃×C₅	—	2	4	no	—
266	C₂³×C₃×C₅	—	2	4	no	—
267	C₂³×C₃×C₅	—	4	2	no	—
268	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
269	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
270	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
271	C₂²×C₅×D₃	—	2	8	no	—
272	C₂²×C₅×D₃	—	2	8	no	—
273	C₂²×C₅×D₃	—	4	4	no	—
274	C₂²×C₅×D₃	C₂⁴	1	4	yes	—
275	C₂²×C₅×D₃	C₂⁴	1	2	yes	—
276	C₃×C₅×D₄	—	2	4	no	—
277	C₃×C₅×D₄	—	2	2	no	—
278	C₃×C₅×D₄	#41	1	4	yes	complemented
279	C₂×C₃×C₄×C₅	—	2	4	no	—
280	C₂×C₃×C₄×C₅	—	2	4	no	—
281	C₂×C₃×C₄×C₅	—	2	4	no	—
282	C₂×C₃×C₄×C₅	—	2	4	no	—
283	C₂×C₃×C₄×C₅	—	2	4	no	—
284	C₂×C₃×C₄×C₅	—	2	2	no	—
285	C₂×C₃×C₄×C₅	—	4	1	no	—
286	C₂×C₃×C₄×C₅	C₂×D₄	1	4	yes	complemented
287	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
288	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
289	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
290	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
291	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
292	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
293	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
294	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
295	C₅×#67	—	2	8	no	—
296	C₅×#67	—	2	8	no	—
297	C₅×#67	—	2	8	no	—
298	C₅×#67	—	2	8	no	—
299	C₅×#67	—	4	4	no	—
300	C₅×#67	C₂×D₄	1	8	yes	complemented
301	C₂×C₅×Dic₃	—	2	8	no	—
302	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
303	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
304	C₂×C₅×Dic₃	C₂⁴	1	4	yes	—
305	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
306	C₅×D₁₂	—	2	8	no	—
307	C₅×D₁₂	—	2	4	no	—
308	C₅×D₁₂	—	2	4	no	—
309	C₅×D₁₂	—	4	2	no	—
310	C₅×D₁₂	C₂×D₄	1	4	yes	complemented
311	C₄×C₅×D₃	—	2	8	no	—
312	C₄×C₅×D₃	—	2	8	no	—
313	C₄×C₅×D₃	—	2	4	no	—
314	C₄×C₅×D₃	—	2	8	no	—
315	C₄×C₅×D₃	—	4	2	no	—
316	C₄×C₅×D₃	C₂×D₄	1	8	yes	complemented
317	C₅×Dic₆	—	2	4	no	—
318	C₅×Dic₆	—	2	8	no	—
319	C₅×Dic₆	C₂×D₄	1	4	yes	complemented
320	C₂²×C₃×D₄	C₂²×C₅	1	1	yes	characteristic
321	C₂³×C₃×C₄	C₂²×C₅	1	2	yes	complemented
322	C₂²×#67	C₂²×C₅	1	4	yes	complemented
323	C₂×D₃×D₄	C₂²×C₅	1	2	yes	—
324	C₂×#235	—	2	16	no	—
325	C₂×#235	C₂²×C₅	1	1	yes	characteristic
326	C₂×#235	C₂²×C₅	1	2	yes	complemented
327	C₂×#235	C₂²×C₅	1	4	yes	complemented
328	C₂×#235	C₂²×C₅	1	4	yes	complemented
329	C₂×#235	C₂²×C₅	1	2	yes	complemented
330	C₂×#235	C₂²×C₅	1	2	yes	complemented
331	C₂²×D₁₂	C₂²×C₅	1	2	yes	complemented
332	C₂²×C₄×D₃	C₂²×C₅	1	4	yes	complemented
333	C₂²×Dic₆	C₂²×C₅	1	2	yes	complemented
334	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
335	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
336	C₃×C₄×D₄	C₂²×C₅	1	2	yes	complemented
337	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
338	C₃×C₄×D₄	C₂²×C₅	1	2	yes	complemented
339	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
340	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
341	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	complemented
342	C₂×C₃×C₄²	C₂²×C₅	1	1	yes	characteristic, complemented
343	#953	C₂²×C₅	1	4	yes	complemented
344	#940	C₂²×C₅	1	2	yes	complemented
345	#939	C₂²×C₅	1	4	yes	complemented
346	#938	C₂²×C₅	1	2	yes	complemented
347	#937	C₂²×C₅	1	4	yes	complemented
348	D₄×Dic₃	C₂²×C₅	1	2	yes	—
349	#930	C₂²×C₅	1	2	yes	complemented
350	#930	C₂²×C₅	1	2	yes	complemented
351	#930	C₂²×C₅	1	2	yes	complemented
352	#930	C₂²×C₅	1	2	yes	complemented
353	#929	C₂²×C₅	1	4	yes	complemented
354	C₄×#67	C₂²×C₅	1	2	yes	complemented
355	C₄×#67	C₂²×C₅	1	2	yes	complemented
356	C₄×#67	C₂²×C₅	1	4	yes	complemented
357	C₄×#67	C₂²×C₅	1	4	yes	complemented
358	#926	C₂²×C₅	1	1	yes	characteristic, complemented
359	#924	C₂²×C₅	1	2	yes	complemented
360	#924	C₂²×C₅	1	2	yes	complemented
361	#896	C₂²×C₅	1	4	yes	complemented
362	#895	C₂²×C₅	1	2	yes	complemented
363	#894	C₂²×C₅	1	4	yes	complemented
364	#893	C₂²×C₅	1	2	yes	complemented
365	D₃×C₄⋊C₄	C₂²×C₅	1	2	yes	complemented
366	#888	C₂²×C₅	1	2	yes	complemented
367	#885	C₂²×C₅	1	4	yes	complemented
368	#884	C₂²×C₅	1	4	yes	complemented
369	#884	C₂²×C₅	1	4	yes	complemented
370	#883	C₂²×C₅	1	4	yes	complemented
371	#882	C₂²×C₅	1	4	yes	complemented
372	#67⋊C₄	C₂²×C₅	1	4	yes	complemented
373	D₃×C₂²⋊C₄	C₂²×C₅	1	4	yes	complemented
374	#878	C₂²×C₅	1	4	yes	complemented
375	#875	C₂²×C₅	1	2	yes	complemented
376	#874	C₂²×C₅	1	1	yes	characteristic, complemented
377	C₄×D₁₂	C₂²×C₅	1	1	yes	characteristic, complemented
378	C₄×D₁₂	C₂²×C₅	1	1	yes	characteristic, complemented
379	C₄×D₁₂	C₂²×C₅	1	2	yes	complemented
380	C₄×D₁₂	C₂²×C₅	1	2	yes	complemented
381	#872	C₂²×C₅	1	2	yes	complemented
382	C₄²×D₃	C₂²×C₅	1	2	yes	complemented
383	#869	C₂²×C₅	1	1	yes	characteristic, complemented
384	C₄×Dic₆	C₂²×C₅	1	1	yes	characteristic, complemented
385	C₄×Dic₆	C₂²×C₅	1	1	yes	characteristic, complemented
386	C₂⁴×C₅	—	3	4	no	—
387	C₂⁴×C₅	C₂²×D₃	1	2	yes	—
388	C₅×#41	—	3	8	no	—
389	C₅×#41	—	6	16	no	—
390	C₅×#41	—	6	16	no	—
391	C₅×#41	—	6	8	no	—
392	C₅×#41	—	6	8	no	—
393	C₅×#41	—	6	8	no	—
394	C₂×C₅×Q₈	—	3	1	no	—
395	C₂×C₅×Q₈	—	3	4	no	—
396	C₂×C₅×Q₈	—	3	2	no	—
397	C₂×C₅×Q₈	—	6	8	no	—
398	C₂×C₅×D₄	—	2	4	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	4	no	—
403	C₂×C₅×D₄	—	3	4	no	—
404	C₂×C₅×D₄	—	3	4	no	—
405	C₂×C₅×D₄	—	3	1	no	—
406	C₂×C₅×D₄	—	3	2	no	—
407	C₂×C₅×D₄	—	3	4	no	—
408	C₂×C₅×D₄	—	3	2	no	—
409	C₂×C₅×D₄	—	3	2	no	—
410	C₂×C₅×D₄	—	6	8	no	—
411	C₂×C₅×D₄	—	6	16	no	—
412	C₂×C₅×D₄	—	6	8	no	—
413	C₂×C₅×D₄	C₂²×D₃	1	2	yes	—
414	C₂×C₅×D₄	C₂²×D₃	1	1	yes	characteristic
415	C₂×C₅×D₄	C₂²×D₃	1	1	yes	characteristic
416	C₂²×C₄×C₅	—	2	8	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	4	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	—	6	16	no	—
425	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
426	C₂²×C₄×C₅	C₂²×D₃	1	2	yes	—
427	C₂²×C₄×C₅	C₂²×D₃	1	2	yes	—
428	C₂²×C₄×C₅	C₂²×D₃	1	2	yes	—
429	C₂²×C₄×C₅	C₂²×D₃	1	2	yes	—
430	C₂²×C₄×C₅	C₂²×D₃	1	2	yes	—
431	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
432	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
433	C₅×C₄⋊C₄	—	3	2	no	—
434	C₅×C₄⋊C₄	—	3	4	no	—
435	C₅×C₄⋊C₄	—	3	2	no	—
436	C₅×C₄⋊C₄	—	3	2	no	—
437	C₅×C₄⋊C₄	—	3	1	no	—
438	C₅×C₄⋊C₄	—	3	1	no	—
439	C₅×C₄⋊C₄	—	3	4	no	—
440	C₅×C₄⋊C₄	—	3	2	no	—
441	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
442	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
443	C₅×C₄⋊C₄	C₂²×D₃	1	2	yes	—
444	C₅×C₂²⋊C₄	—	3	4	no	—
445	C₅×C₂²⋊C₄	—	3	2	no	—
446	C₅×C₂²⋊C₄	—	3	4	no	—
447	C₅×C₂²⋊C₄	—	3	4	no	—
448	C₅×C₂²⋊C₄	—	3	4	no	—
449	C₅×C₂²⋊C₄	—	3	2	no	—
450	C₅×C₂²⋊C₄	—	3	2	no	—
451	C₅×C₂²⋊C₄	—	3	4	no	—
452	C₅×C₂²⋊C₄	—	3	4	no	—
453	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
454	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
455	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
456	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
457	C₄²×C₅	—	3	2	no	—
458	C₄²×C₅	—	3	2	no	—
459	C₄²×C₅	—	3	2	no	—
460	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
461	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
462	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
463	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
464	C₂²×#41	—	3	2	no	—
465	#550	—	3	1	no	—
466	D₄×Q₈	—	3	1	no	—
467	#548	—	3	2	no	—
468	#547	—	3	1	no	—
469	#547	—	3	2	no	—
470	#546	—	3	2	no	—
471	#546	—	3	4	no	—
472	D₄²	—	3	2	no	—
473	D₄²	—	3	1	no	—
474	#532	—	3	2	no	—
475	#532	—	3	1	no	—
476	#525	—	3	2	no	—
477	#525	—	3	4	no	—
478	C₄×#41	—	3	1	no	—
479	C₂×C₄×D₄	—	3	2	no	—
480	C₂×C₄×D₄	C₅×D₃	1	1	yes	characteristic, complemented
481	C₂²×C₃×C₅	—	2	2	no	—
482	C₂²×C₃×C₅	—	2	1	no	—
483	C₂²×C₃×C₅	—	2	1	no	—
484	C₂²×C₃×C₅	—	2	2	no	—
485	C₂²×C₃×C₅	—	2	2	no	—
486	C₂²×C₃×C₅	—	2	2	no	—
487	C₂²×C₃×C₅	—	2	2	no	—
488	C₂²×C₃×C₅	—	4	8	no	—
489	C₂²×C₃×C₅	C₂²×D₄	1	2	yes	—
490	C₂²×C₃×C₅	C₂×#41	1	4	yes	complemented
491	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
492	C₂×C₅×D₃	—	2	2	no	—
493	C₂×C₅×D₃	—	2	2	no	—
494	C₂×C₅×D₃	—	2	4	no	—
495	C₂×C₅×D₃	—	2	4	no	—
496	C₂×C₅×D₃	—	2	4	no	—
497	C₂×C₅×D₃	—	4	16	no	—
498	C₂×C₅×D₃	C₂²×D₄	1	4	yes	—
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	—	2	1	no	—
503	C₃×C₄×C₅	—	2	1	no	—
504	C₃×C₄×C₅	C₂²×D₄	1	2	yes	—
505	C₃×C₄×C₅	C₂²×D₄	1	2	yes	—
506	C₃×C₄×C₅	C₂×#41	1	2	yes	complemented
507	C₅×Dic₃	—	2	4	no	—
508	C₅×Dic₃	—	2	2	no	—
509	C₅×Dic₃	—	2	2	no	—
510	C₅×Dic₃	C₂²×D₄	1	4	yes	—
511	C₂⁴×C₃	C₂³×C₅	1	2	yes	—
512	C₂³×D₃	C₂³×C₅	1	4	yes	—
513	C₂×C₃×D₄	—	2	4	no	—
514	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
515	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
516	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
517	C₂²×C₃×C₄	—	2	8	no	—
518	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
519	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
520	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
521	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
522	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
523	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
524	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
525	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
526	C₂×#67	—	2	16	no	—
527	C₂×#67	C₂³×C₅	1	4	yes	—
528	C₂×#67	C₂³×C₅	1	4	yes	—
529	C₂×#67	C₂³×C₅	1	4	yes	—
530	C₂×#67	C₂³×C₅	1	4	yes	—
531	C₂×#67	C₂³×C₅	1	4	yes	—
532	C₂×#67	C₂³×C₅	1	2	yes	—
533	C₂²×Dic₃	C₂³×C₅	1	4	yes	—
534	D₃×D₄	—	2	8	no	—
535	#235	—	2	8	no	—
536	#235	—	2	16	no	—
537	#235	—	2	8	no	—
538	#235	—	2	16	no	—
539	#235	—	2	8	no	—
540	#235	C₅×D₄	1	8	yes	direct product factor
541	C₂×D₁₂	—	2	8	no	—
542	C₂×D₁₂	C₂³×C₅	1	2	yes	—
543	C₂×D₁₂	C₂³×C₅	1	2	yes	—
544	C₂×D₁₂	C₂³×C₅	1	4	yes	—
545	C₂×D₁₂	C₂³×C₅	1	2	yes	—
546	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic
547	C₂×C₄×D₃	—	2	16	no	—
548	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
549	C₂×C₄×D₃	C₂³×C₅	1	4	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	2	yes	—
553	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
554	C₂×Dic₆	—	2	8	no	—
555	C₂×Dic₆	C₂³×C₅	1	2	yes	—
556	C₂×Dic₆	C₂³×C₅	1	4	yes	—
557	C₂×Dic₆	C₂³×C₅	1	1	yes	characteristic
558	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
559	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
560	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
561	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
562	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
563	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
564	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
565	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
566	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
567	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
568	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
569	#217	C₂³×C₅	1	4	yes	—
570	#217	C₂³×C₅	1	4	yes	—
571	#217	C₂³×C₅	1	2	yes	—
572	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
573	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
574	(C₂×D₃)⋊C₄	C₂³×C₅	1	4	yes	—
575	(C₂×D₃)⋊C₄	C₂³×C₅	1	4	yes	—
576	(C₂×D₃)⋊C₄	C₂³×C₅	1	4	yes	—
577	(C₂×D₃)⋊C₄	C₂³×C₅	1	4	yes	—
578	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
579	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
580	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
581	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
582	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
583	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
584	Dic₃⋊C₄	C₂³×C₅	1	4	yes	—
585	Dic₃⋊C₄	C₂³×C₅	1	4	yes	—
586	C₄×Dic₃	C₂³×C₅	1	2	yes	—
587	C₄×Dic₃	C₂³×C₅	1	2	yes	—
588	C₄×Dic₃	C₂³×C₅	1	2	yes	—
589	C₂³×C₅	—	2	4	no	—
590	C₂³×C₅	—	2	4	no	—
591	C₂³×C₅	—	3	2	no	—
592	C₂³×C₅	—	3	4	no	—
593	C₂³×C₅	—	4	2	no	—
594	C₂³×C₅	—	6	8	no	—
595	C₂³×C₅	—	6	8	no	—
596	C₂³×C₅	—	12	4	no	—
597	C₂³×C₅	C₂³×D₃	1	2	yes	—
598	C₂³×C₅	C₂³×D₃	1	2	yes	—
599	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
600	C₅×Q₈	—	3	4	no	—
601	C₅×Q₈	—	6	8	no	—
602	C₅×Q₈	—	6	4	no	—
603	C₅×D₄	—	2	4	no	—
604	C₅×D₄	—	2	2	no	—
605	C₅×D₄	—	3	8	no	—
606	C₅×D₄	—	3	4	no	—
607	C₅×D₄	—	6	8	no	—
608	C₅×D₄	—	6	8	no	—
609	C₅×D₄	—	6	8	no	—
610	C₅×D₄	—	6	8	no	—
611	C₅×D₄	—	6	8	no	—
612	C₅×D₄	—	6	4	no	—
613	C₅×D₄	—	6	4	no	—
614	C₅×D₄	—	12	2	no	—
615	C₅×D₄	—	12	4	no	—
616	C₅×D₄	#235	1	4	yes	direct product factor
617	C₂×C₄×C₅	—	2	4	no	—
618	C₂×C₄×C₅	—	2	2	no	—
619	C₂×C₄×C₅	—	2	4	no	—
620	C₂×C₄×C₅	—	2	4	no	—
621	C₂×C₄×C₅	—	2	4	no	—
622	C₂×C₄×C₅	—	2	4	no	—
623	C₂×C₄×C₅	—	3	2	no	—
624	C₂×C₄×C₅	—	3	8	no	—
625	C₂×C₄×C₅	—	3	2	no	—
626	C₂×C₄×C₅	—	3	2	no	—
627	C₂×C₄×C₅	—	3	4	no	—
628	C₂×C₄×C₅	—	4	1	no	—
629	C₂×C₄×C₅	—	6	8	no	—
630	C₂×C₄×C₅	—	6	8	no	—
631	C₂×C₄×C₅	—	6	8	no	—
632	C₂×C₄×C₅	—	6	4	no	—
633	C₂×C₄×C₅	—	6	8	no	—
634	C₂×C₄×C₅	—	12	2	no	—
635	C₂×C₄×C₅	D₃×D₄	1	4	yes	complemented
636	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
637	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
638	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
639	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
640	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
641	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
642	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
643	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
644	C₂×#41	—	3	1	no	—
645	C₂×#41	—	3	4	no	—
646	C₂×#41	—	3	2	no	—
647	C₂×#41	—	3	2	no	—
648	C₂×#41	—	3	4	no	—
649	C₂×#41	—	3	2	no	—
650	C₂×#41	—	6	16	no	—
651	C₂²×Q₈	—	3	2	no	—
652	C₂²×D₄	—	3	4	no	—
653	C₂²×D₄	—	3	2	no	—
654	C₂²×D₄	—	3	2	no	—
655	C₂²×D₄	C₂×C₅×D₃	1	1	yes	characteristic
656	C₂³×C₄	—	3	4	no	—
657	C₂³×C₄	C₂×C₅×D₃	1	2	yes	complemented
658	C₄⋊Q₈	—	3	2	no	—
659	C₄⋊Q₈	—	3	1	no	—
660	#127	—	3	2	no	—
661	#127	—	3	1	no	—
662	#124	—	3	4	no	—
663	#124	—	3	2	no	—
664	#123	—	3	4	no	—
665	#123	—	3	4	no	—
666	#123	—	3	4	no	—
667	C₂²⋊Q₈	—	3	2	no	—
668	C₂²⋊Q₈	—	3	2	no	—
669	C₂²⋊Q₈	—	3	4	no	—
670	C₂²⋊Q₈	—	3	4	no	—
671	#121	—	3	4	no	—
672	#121	—	3	2	no	—
673	#121	—	3	2	no	—
674	#121	—	3	2	no	—
675	#121	—	3	2	no	—
676	#121	—	3	2	no	—
677	#121	—	3	2	no	—
678	#121	—	3	4	no	—
679	#121	—	3	4	no	—
680	#120	—	3	4	no	—
681	#120	—	3	4	no	—
682	#120	—	3	4	no	—
683	C₄×Q₈	—	3	1	no	—
684	C₄×Q₈	—	3	1	no	—
685	C₄×D₄	—	3	2	no	—
686	C₄×D₄	—	3	4	no	—
687	C₄×D₄	—	3	2	no	—
688	C₄×D₄	—	3	2	no	—
689	C₄×D₄	—	3	4	no	—
690	C₄×D₄	—	3	2	no	—
691	C₄×D₄	—	3	4	no	—
692	C₄×D₄	—	3	2	no	—
693	C₄×D₄	—	3	1	no	—
694	C₄×D₄	—	3	1	no	—
695	C₄×D₄	—	3	2	no	—
696	C₄×D₄	C₂×C₅×D₃	1	1	yes	characteristic
697	C₄×D₄	C₂×C₅×D₃	1	1	yes	characteristic
698	C₄×D₄	C₂×C₅×D₃	1	2	yes	complemented
699	C₄×D₄	C₂×C₅×D₃	1	1	yes	characteristic, complemented
700	C₄×D₄	C₂×C₅×D₃	1	2	yes	complemented
701	C₄×D₄	C₂×C₅×D₃	1	1	yes	characteristic, complemented
702	#117	—	3	1	no	—
703	#117	—	3	2	no	—
704	C₂×C₄⋊C₄	—	3	2	no	—
705	C₂×C₄⋊C₄	C₂×C₅×D₃	1	1	yes	characteristic, complemented
706	C₂×C₂²⋊C₄	—	3	4	no	—
707	C₂×C₂²⋊C₄	C₂×C₅×D₃	1	2	yes	complemented
708	C₂×C₄²	—	3	2	no	—
709	C₂×C₄²	C₂×C₅×D₃	1	1	yes	characteristic, complemented
710	C₂×C₃×C₅	—	2	4	no	—
711	C₂×C₃×C₅	—	2	2	no	—
712	C₂×C₃×C₅	—	4	2	no	—
713	C₂×C₃×C₅	C₂³×D₄	1	1	yes	characteristic
714	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
715	C₂×C₃×C₅	#585	1	1	yes	characteristic
716	C₅×D₃	—	2	4	no	—
717	C₅×D₃	—	4	4	no	—
718	C₂³×C₃	—	2	4	no	—
719	C₂³×C₃	—	2	4	no	—
720	C₂³×C₃	—	4	2	no	—
721	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
722	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
723	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
724	C₂²×D₃	—	2	8	no	—
725	C₂²×D₃	—	2	8	no	—
726	C₂²×D₃	—	4	4	no	—
727	C₂²×D₃	C₂⁴×C₅	1	4	yes	—
728	C₂²×D₃	C₂⁴×C₅	1	2	yes	—
729	C₃×D₄	—	2	4	no	—
730	C₃×D₄	—	2	2	no	—
731	C₃×D₄	C₅×#41	1	4	yes	complemented
732	C₂×C₃×C₄	—	2	4	no	—
733	C₂×C₃×C₄	—	2	4	no	—
734	C₂×C₃×C₄	—	2	4	no	—
735	C₂×C₃×C₄	—	2	4	no	—
736	C₂×C₃×C₄	—	2	4	no	—
737	C₂×C₃×C₄	—	2	2	no	—
738	C₂×C₃×C₄	—	4	1	no	—
739	C₂×C₃×C₄	C₂×C₅×D₄	1	4	yes	complemented
740	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
741	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
742	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
743	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
744	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
745	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
746	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
747	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
748	#67	—	2	8	no	—
749	#67	—	2	8	no	—
750	#67	—	2	8	no	—
751	#67	—	2	8	no	—
752	#67	—	4	4	no	—
753	#67	C₂×C₅×D₄	1	8	yes	complemented
754	C₂×Dic₃	—	2	8	no	—
755	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
756	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
757	C₂×Dic₃	C₂⁴×C₅	1	4	yes	—
758	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
759	D₁₂	—	2	8	no	—
760	D₁₂	—	2	4	no	—
761	D₁₂	—	2	4	no	—
762	D₁₂	—	4	2	no	—
763	D₁₂	C₂×C₅×D₄	1	4	yes	complemented
764	C₄×D₃	—	2	8	no	—
765	C₄×D₃	—	2	8	no	—
766	C₄×D₃	—	2	4	no	—
767	C₄×D₃	—	2	8	no	—
768	C₄×D₃	—	4	2	no	—
769	C₄×D₃	C₂×C₅×D₄	1	8	yes	complemented
770	Dic₆	—	2	4	no	—
771	Dic₆	—	2	8	no	—
772	Dic₆	C₂×C₅×D₄	1	4	yes	complemented
773	C₂²×C₅	—	2	1	no	—
774	C₂²×C₅	—	2	2	no	—
775	C₂²×C₅	—	2	1	no	—
776	C₂²×C₅	—	2	2	no	—
777	C₂²×C₅	—	2	2	no	—
778	C₂²×C₅	—	2	2	no	—
779	C₂²×C₅	—	2	2	no	—
780	C₂²×C₅	—	3	4	no	—
781	C₂²×C₅	—	4	8	no	—
782	C₂²×C₅	—	6	2	no	—
783	C₂²×C₅	—	6	2	no	—
784	C₂²×C₅	—	6	4	no	—
785	C₂²×C₅	—	6	4	no	—
786	C₂²×C₅	—	6	4	no	—
787	C₂²×C₅	—	12	16	no	—
788	C₂²×C₅	C₂×#235	1	4	yes	complemented
789	C₂²×C₅	C₂×D₃×D₄	1	2	yes	—
790	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
791	C₄×C₅	—	2	1	no	—
792	C₄×C₅	—	2	2	no	—
793	C₄×C₅	—	2	2	no	—
794	C₄×C₅	—	2	1	no	—
795	C₄×C₅	—	2	1	no	—
796	C₄×C₅	—	3	4	no	—
797	C₄×C₅	—	6	2	no	—
798	C₄×C₅	—	6	4	no	—
799	C₄×C₅	—	6	2	no	—
800	C₄×C₅	C₂×#235	1	2	yes	complemented
801	C₄×C₅	C₂×D₃×D₄	1	2	yes	—
802	C₄×C₅	C₂×D₃×D₄	1	2	yes	—
803	C₂⁴	—	3	4	no	—
804	C₂⁴	C₂²×C₅×D₃	1	2	yes	—
805	#41	—	3	8	no	—
806	#41	—	6	16	no	—
807	#41	—	6	16	no	—
808	#41	—	6	8	no	—
809	#41	—	6	8	no	—
810	#41	—	6	8	no	—
811	C₂×Q₈	—	3	1	no	—
812	C₂×Q₈	—	3	4	no	—
813	C₂×Q₈	—	3	2	no	—
814	C₂×Q₈	—	6	8	no	—
815	C₂×D₄	—	2	4	no	—
816	C₂×D₄	—	3	2	no	—
817	C₂×D₄	—	3	4	no	—
818	C₂×D₄	—	3	4	no	—
819	C₂×D₄	—	3	4	no	—
820	C₂×D₄	—	3	4	no	—
821	C₂×D₄	—	3	4	no	—
822	C₂×D₄	—	3	1	no	—
823	C₂×D₄	—	3	2	no	—
824	C₂×D₄	—	3	4	no	—
825	C₂×D₄	—	3	2	no	—
826	C₂×D₄	—	3	2	no	—
827	C₂×D₄	—	6	8	no	—
828	C₂×D₄	—	6	16	no	—
829	C₂×D₄	—	6	8	no	—
830	C₂×D₄	C₂²×C₅×D₃	1	2	yes	—
831	C₂×D₄	C₂²×C₅×D₃	1	1	yes	characteristic
832	C₂×D₄	C₂²×C₅×D₃	1	1	yes	characteristic
833	C₂²×C₄	—	2	8	no	—
834	C₂²×C₄	—	3	2	no	—
835	C₂²×C₄	—	3	4	no	—
836	C₂²×C₄	—	3	2	no	—
837	C₂²×C₄	—	3	4	no	—
838	C₂²×C₄	—	3	4	no	—
839	C₂²×C₄	—	3	4	no	—
840	C₂²×C₄	—	3	2	no	—
841	C₂²×C₄	—	6	16	no	—
842	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
843	C₂²×C₄	C₂²×C₅×D₃	1	2	yes	—
844	C₂²×C₄	C₂²×C₅×D₃	1	2	yes	—
845	C₂²×C₄	C₂²×C₅×D₃	1	2	yes	—
846	C₂²×C₄	C₂²×C₅×D₃	1	2	yes	—
847	C₂²×C₄	C₂²×C₅×D₃	1	2	yes	—
848	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
849	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
850	C₄⋊C₄	—	3	2	no	—
851	C₄⋊C₄	—	3	4	no	—
852	C₄⋊C₄	—	3	2	no	—
853	C₄⋊C₄	—	3	2	no	—
854	C₄⋊C₄	—	3	1	no	—
855	C₄⋊C₄	—	3	1	no	—
856	C₄⋊C₄	—	3	4	no	—
857	C₄⋊C₄	—	3	2	no	—
858	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
859	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
860	C₄⋊C₄	C₂²×C₅×D₃	1	2	yes	—
861	C₂²⋊C₄	—	3	4	no	—
862	C₂²⋊C₄	—	3	2	no	—
863	C₂²⋊C₄	—	3	4	no	—
864	C₂²⋊C₄	—	3	4	no	—
865	C₂²⋊C₄	—	3	4	no	—
866	C₂²⋊C₄	—	3	2	no	—
867	C₂²⋊C₄	—	3	2	no	—
868	C₂²⋊C₄	—	3	4	no	—
869	C₂²⋊C₄	—	3	4	no	—
870	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
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	2	yes	—
874	C₄²	—	3	2	no	—
875	C₄²	—	3	2	no	—
876	C₄²	—	3	2	no	—
877	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
878	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
879	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
880	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
881	C₃×C₅	D₄×#41	1	1	yes	characteristic, complemented, Hall
882	C₂²×C₃	—	2	2	no	—
883	C₂²×C₃	—	2	1	no	—
884	C₂²×C₃	—	2	1	no	—
885	C₂²×C₃	—	2	2	no	—
886	C₂²×C₃	—	2	2	no	—
887	C₂²×C₃	—	2	2	no	—
888	C₂²×C₃	—	2	2	no	—
889	C₂²×C₃	—	4	8	no	—
890	C₂²×C₃	C₂²×C₅×D₄	1	2	yes	—
891	C₂²×C₃	C₂×C₅×#41	1	4	yes	complemented
892	C₂²×C₃	C₂⁵×C₅	1	1	yes	characteristic
893	C₂×D₃	—	2	2	no	—
894	C₂×D₃	—	2	2	no	—
895	C₂×D₃	—	2	4	no	—
896	C₂×D₃	—	2	4	no	—
897	C₂×D₃	—	2	4	no	—
898	C₂×D₃	—	4	16	no	—
899	C₂×D₃	C₂²×C₅×D₄	1	4	yes	—
900	C₃×C₄	—	2	2	no	—
901	C₃×C₄	—	2	2	no	—
902	C₃×C₄	—	2	1	no	—
903	C₃×C₄	—	2	1	no	—
904	C₃×C₄	—	2	1	no	—
905	C₃×C₄	C₂²×C₅×D₄	1	2	yes	—
906	C₃×C₄	C₂²×C₅×D₄	1	2	yes	—
907	C₃×C₄	C₂×C₅×#41	1	2	yes	complemented
908	Dic₃	—	2	4	no	—
909	Dic₃	—	2	2	no	—
910	Dic₃	—	2	2	no	—
911	Dic₃	C₂²×C₅×D₄	1	4	yes	—
912	C₂×C₅	—	2	2	no	—
913	C₂×C₅	—	2	4	no	—
914	C₂×C₅	—	4	2	no	—
915	C₂×C₅	—	6	4	no	—
916	C₂×C₅	—	12	4	no	—
917	C₂×C₅	C₂²×#235	1	1	yes	characteristic
918	C₂×C₅	C₂²×D₃×D₄	1	1	yes	characteristic
919	C₂×C₅	#5964	1	1	yes	characteristic
920	C₂³	—	2	4	no	—
921	C₂³	—	2	4	no	—
922	C₂³	—	3	2	no	—
923	C₂³	—	3	4	no	—
924	C₂³	—	4	2	no	—
925	C₂³	—	6	8	no	—
926	C₂³	—	6	8	no	—
927	C₂³	—	12	4	no	—
928	C₂³	C₂³×C₅×D₃	1	2	yes	—
929	C₂³	C₂³×C₅×D₃	1	2	yes	—
930	C₂³	C₂³×C₅×D₃	1	1	yes	characteristic
931	Q₈	—	3	4	no	—
932	Q₈	—	6	8	no	—
933	Q₈	—	6	4	no	—
934	D₄	—	2	4	no	—
935	D₄	—	2	2	no	—
936	D₄	—	3	8	no	—
937	D₄	—	3	4	no	—
938	D₄	—	6	8	no	—
939	D₄	—	6	8	no	—
940	D₄	—	6	8	no	—
941	D₄	—	6	8	no	—
942	D₄	—	6	8	no	—
943	D₄	—	6	4	no	—
944	D₄	—	6	4	no	—
945	D₄	—	12	2	no	—
946	D₄	—	12	4	no	—
947	D₄	C₅×#235	1	4	yes	direct product factor
948	C₂×C₄	—	2	4	no	—
949	C₂×C₄	—	2	2	no	—
950	C₂×C₄	—	2	4	no	—
951	C₂×C₄	—	2	4	no	—
952	C₂×C₄	—	2	4	no	—
953	C₂×C₄	—	2	4	no	—
954	C₂×C₄	—	3	2	no	—
955	C₂×C₄	—	3	8	no	—
956	C₂×C₄	—	3	2	no	—
957	C₂×C₄	—	3	2	no	—
958	C₂×C₄	—	3	4	no	—
959	C₂×C₄	—	4	1	no	—
960	C₂×C₄	—	6	8	no	—
961	C₂×C₄	—	6	8	no	—
962	C₂×C₄	—	6	8	no	—
963	C₂×C₄	—	6	4	no	—
964	C₂×C₄	—	6	8	no	—
965	C₂×C₄	—	12	2	no	—
966	C₂×C₄	C₅×D₃×D₄	1	4	yes	complemented
967	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
968	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
969	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
970	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
971	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
972	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
973	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
974	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
975	C₂×C₃	—	2	4	no	—
976	C₂×C₃	—	2	2	no	—
977	C₂×C₃	—	4	2	no	—
978	C₂×C₃	C₂³×C₅×D₄	1	1	yes	characteristic
979	C₂×C₃	C₂²×C₅×#41	1	1	yes	characteristic
980	C₂×C₃	C₅×#585	1	1	yes	characteristic
981	D₃	—	2	4	no	—
982	D₃	—	4	4	no	—
983	C₅	D₄×#235	1	1	yes	characteristic, direct product factor, Sylow
984	C₂²	—	2	1	no	—
985	C₂²	—	2	2	no	—
986	C₂²	—	2	1	no	—
987	C₂²	—	2	2	no	—
988	C₂²	—	2	2	no	—
989	C₂²	—	2	2	no	—
990	C₂²	—	2	2	no	—
991	C₂²	—	3	4	no	—
992	C₂²	—	4	8	no	—
993	C₂²	—	6	2	no	—
994	C₂²	—	6	2	no	—
995	C₂²	—	6	4	no	—
996	C₂²	—	6	4	no	—
997	C₂²	—	6	4	no	—
998	C₂²	—	12	16	no	—
999	C₂²	C₂×C₅×#235	1	4	yes	complemented
1000	C₂²	C₂×C₅×D₃×D₄	1	2	yes	—
1001	C₂²	C₂⁴×C₅×D₃	1	1	yes	characteristic
1002	C₄	—	2	1	no	—
1003	C₄	—	2	2	no	—
1004	C₄	—	2	2	no	—
1005	C₄	—	2	1	no	—
1006	C₄	—	2	1	no	—
1007	C₄	—	3	4	no	—
1008	C₄	—	6	2	no	—
1009	C₄	—	6	4	no	—
1010	C₄	—	6	2	no	—
1011	C₄	C₂×C₅×#235	1	2	yes	complemented
1012	C₄	C₂×C₅×D₃×D₄	1	2	yes	—
1013	C₄	C₂×C₅×D₃×D₄	1	2	yes	—
1014	C₃	C₅×D₄×#41	1	1	yes	characteristic, complemented, Sylow
1015	C₂	—	2	2	no	—
1016	C₂	—	2	4	no	—
1017	C₂	—	4	2	no	—
1018	C₂	—	6	4	no	—
1019	C₂	—	12	4	no	—
1020	C₂	C₂²×C₅×#235	1	1	yes	characteristic
1021	C₂	C₂²×C₅×D₃×D₄	1	1	yes	characteristic
1022	C₂	C₅×#5964	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₂²×C₅×#235	C₂	semidirect
2. C₂×C₃×C₄×C₅×D₄	C₂	semidirect
3. C₅×D₄×#67	C₂	semidirect
4. C₅×#5791	C₂	semidirect
5. C₅×#5553	C₂	semidirect
6. C₅×#5552	C₂	semidirect
7. C₅×#5551	C₂	semidirect
8. C₅×#5550	C₂	semidirect
9. C₅×D₄×D₁₂	C₂	semidirect
10. C₅×#5548	C₂	semidirect
11. C₅×#5547	C₂	semidirect
12. C₄×C₅×D₃×D₄	C₂	semidirect
13. C₅×D₄×Dic₆	C₂	semidirect
14. C₅×#5507	C₂	semidirect
15. C₅×#5490	C₂	semidirect
16. C₅×#5477	C₂	semidirect
17. C₄×C₅×#235	C₂	semidirect
20. C₂³×C₃×C₄×C₅	C₂²	semidirect
21. C₂²×C₅×#67	C₂²	semidirect
25. C₂×C₅×#235	C₂²	semidirect
26. C₂×C₅×#235	C₂²	semidirect
27. C₂×C₅×#235	C₂²	semidirect
28. C₂×C₅×#235	C₂²	semidirect
29. C₂×C₅×#235	C₂²	semidirect
30. C₂²×C₅×D₁₂	C₂²	semidirect
31. C₂²×C₄×C₅×D₃	C₂²	semidirect
32. C₂²×C₅×Dic₆	C₂²	semidirect
35. C₃×C₄×C₅×D₄	C₂²	semidirect
36. C₃×C₄×C₅×D₄	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. C₂×C₃×C₅×C₂²⋊C₄	C₂²	semidirect
41. C₂×C₃×C₄²×C₅	C₂²	semidirect
42. C₅×#953	C₂²	semidirect
43. C₅×#940	C₂²	semidirect
44. C₅×#939	C₂²	semidirect
45. C₅×#938	C₂²	semidirect
46. C₅×#937	C₂²	semidirect
48. C₅×#930	C₂²	semidirect
49. C₅×#930	C₂²	semidirect
50. C₅×#930	C₂²	semidirect
51. C₅×#930	C₂²	semidirect
52. C₅×#929	C₂²	semidirect
53. C₄×C₅×#67	C₂²	semidirect
54. C₄×C₅×#67	C₂²	semidirect
55. C₄×C₅×#67	C₂²	semidirect
56. C₄×C₅×#67	C₂²	semidirect
57. C₅×#926	C₂²	semidirect
58. C₅×#924	C₂²	semidirect
59. C₅×#924	C₂²	semidirect
60. C₅×#896	C₂²	semidirect
61. C₅×#895	C₂²	semidirect
62. C₅×#894	C₂²	semidirect
63. C₅×#893	C₂²	semidirect
64. C₅×D₃×C₄⋊C₄	C₂²	semidirect
65. C₅×#888	C₂²	semidirect
66. C₅×#885	C₂²	semidirect
67. C₅×#884	C₂²	semidirect
68. C₅×#884	C₂²	semidirect
69. C₅×#883	C₂²	semidirect
70. C₅×#882	C₂²	semidirect
71. C₅×#67⋊C₄	C₂²	semidirect
72. C₅×D₃×C₂²⋊C₄	C₂²	semidirect
73. C₅×#878	C₂²	semidirect
74. C₅×#875	C₂²	semidirect
75. C₅×#874	C₂²	semidirect
76. C₄×C₅×D₁₂	C₂²	semidirect
77. C₄×C₅×D₁₂	C₂²	semidirect
78. C₄×C₅×D₁₂	C₂²	semidirect
79. C₄×C₅×D₁₂	C₂²	semidirect
80. C₅×#872	C₂²	semidirect
81. C₄²×C₅×D₃	C₂²	semidirect
82. C₅×#869	C₂²	semidirect
83. C₄×C₅×Dic₆	C₂²	semidirect
84. C₄×C₅×Dic₆	C₂²	semidirect
85. D₄×#235	C₅	direct (N × H)
102. C₂×C₄×C₅×D₄	D₃	semidirect
132. C₅×#235	D₄	direct (N × H)
181. C₂²×#235	C₂×C₅	semidirect
182. C₂×C₃×C₄×D₄	C₂×C₅	semidirect
183. D₄×#67	C₂×C₅	semidirect
184. #5791	C₂×C₅	semidirect
185. #5553	C₂×C₅	semidirect
186. #5552	C₂×C₅	semidirect
187. #5551	C₂×C₅	semidirect
188. #5550	C₂×C₅	semidirect
189. D₄×D₁₂	C₂×C₅	semidirect
190. #5548	C₂×C₅	semidirect
191. #5547	C₂×C₅	semidirect
192. C₄×D₃×D₄	C₂×C₅	semidirect
193. D₄×Dic₆	C₂×C₅	semidirect
194. #5507	C₂×C₅	semidirect
195. #5490	C₂×C₅	semidirect
196. #5477	C₂×C₅	semidirect
197. C₄×#235	C₂×C₅	semidirect
211. C₂³×C₄×C₅	C₂×D₃	semidirect
252. C₄×C₅×D₄	C₂×D₃	semidirect
253. C₄×C₅×D₄	C₂×D₃	semidirect
254. C₄×C₅×D₄	C₂×D₃	semidirect
255. C₄×C₅×D₄	C₂×D₃	semidirect
259. C₂×C₅×C₄⋊C₄	C₂×D₃	semidirect
261. C₂×C₅×C₂²⋊C₄	C₂×D₃	semidirect
263. C₂×C₄²×C₅	C₂×D₃	semidirect
278. C₃×C₅×D₄	#41	semidirect
286. C₂×C₃×C₄×C₅	C₂×D₄	semidirect
300. C₅×#67	C₂×D₄	semidirect
310. C₅×D₁₂	C₂×D₄	semidirect
316. C₄×C₅×D₃	C₂×D₄	semidirect
319. C₅×Dic₆	C₂×D₄	semidirect
321. C₂³×C₃×C₄	C₂²×C₅	semidirect
322. C₂²×#67	C₂²×C₅	semidirect
326. C₂×#235	C₂²×C₅	semidirect
327. C₂×#235	C₂²×C₅	semidirect
328. C₂×#235	C₂²×C₅	semidirect
329. C₂×#235	C₂²×C₅	semidirect
330. C₂×#235	C₂²×C₅	semidirect
331. C₂²×D₁₂	C₂²×C₅	semidirect
332. C₂²×C₄×D₃	C₂²×C₅	semidirect
333. C₂²×Dic₆	C₂²×C₅	semidirect
336. C₃×C₄×D₄	C₂²×C₅	semidirect
337. C₃×C₄×D₄	C₂²×C₅	semidirect
338. C₃×C₄×D₄	C₂²×C₅	semidirect
339. C₃×C₄×D₄	C₂²×C₅	semidirect
340. C₂×C₃×C₄⋊C₄	C₂²×C₅	semidirect
341. C₂×C₃×C₂²⋊C₄	C₂²×C₅	semidirect
342. C₂×C₃×C₄²	C₂²×C₅	semidirect
343. #953	C₂²×C₅	semidirect
344. #940	C₂²×C₅	semidirect
345. #939	C₂²×C₅	semidirect
346. #938	C₂²×C₅	semidirect
347. #937	C₂²×C₅	semidirect
349. #930	C₂²×C₅	semidirect
350. #930	C₂²×C₅	semidirect
351. #930	C₂²×C₅	semidirect
352. #930	C₂²×C₅	semidirect
353. #929	C₂²×C₅	semidirect
354. C₄×#67	C₂²×C₅	semidirect
355. C₄×#67	C₂²×C₅	semidirect
356. C₄×#67	C₂²×C₅	semidirect
357. C₄×#67	C₂²×C₅	semidirect
358. #926	C₂²×C₅	semidirect
359. #924	C₂²×C₅	semidirect
360. #924	C₂²×C₅	semidirect
361. #896	C₂²×C₅	semidirect
362. #895	C₂²×C₅	semidirect
363. #894	C₂²×C₅	semidirect
364. #893	C₂²×C₅	semidirect
365. D₃×C₄⋊C₄	C₂²×C₅	semidirect
366. #888	C₂²×C₅	semidirect
367. #885	C₂²×C₅	semidirect
368. #884	C₂²×C₅	semidirect
369. #884	C₂²×C₅	semidirect
370. #883	C₂²×C₅	semidirect
371. #882	C₂²×C₅	semidirect
372. #67⋊C₄	C₂²×C₅	semidirect
373. D₃×C₂²⋊C₄	C₂²×C₅	semidirect
374. #878	C₂²×C₅	semidirect
375. #875	C₂²×C₅	semidirect
376. #874	C₂²×C₅	semidirect
377. C₄×D₁₂	C₂²×C₅	semidirect
378. C₄×D₁₂	C₂²×C₅	semidirect
379. C₄×D₁₂	C₂²×C₅	semidirect
380. C₄×D₁₂	C₂²×C₅	semidirect
381. #872	C₂²×C₅	semidirect
382. C₄²×D₃	C₂²×C₅	semidirect
383. #869	C₂²×C₅	semidirect
384. C₄×Dic₆	C₂²×C₅	semidirect
385. C₄×Dic₆	C₂²×C₅	semidirect
480. C₂×C₄×D₄	C₅×D₃	semidirect
490. C₂²×C₃×C₅	C₂×#41	semidirect
506. C₃×C₄×C₅	C₂×#41	semidirect
540. #235	C₅×D₄	direct (N × H)
616. C₅×D₄	#235	direct (N × H)
635. C₂×C₄×C₅	D₃×D₄	semidirect
657. C₂³×C₄	C₂×C₅×D₃	semidirect
698. C₄×D₄	C₂×C₅×D₃	semidirect
699. C₄×D₄	C₂×C₅×D₃	semidirect
700. C₄×D₄	C₂×C₅×D₃	semidirect
701. C₄×D₄	C₂×C₅×D₃	semidirect
705. C₂×C₄⋊C₄	C₂×C₅×D₃	semidirect
707. C₂×C₂²⋊C₄	C₂×C₅×D₃	semidirect
709. C₂×C₄²	C₂×C₅×D₃	semidirect
731. C₃×D₄	C₅×#41	semidirect
739. C₂×C₃×C₄	C₂×C₅×D₄	semidirect
753. #67	C₂×C₅×D₄	semidirect
763. D₁₂	C₂×C₅×D₄	semidirect
769. C₄×D₃	C₂×C₅×D₄	semidirect
772. Dic₆	C₂×C₅×D₄	semidirect
788. C₂²×C₅	C₂×#235	semidirect
800. C₄×C₅	C₂×#235	semidirect
881. C₃×C₅	D₄×#41	semidirect
891. C₂²×C₃	C₂×C₅×#41	semidirect
907. C₃×C₄	C₂×C₅×#41	semidirect
947. D₄	C₅×#235	direct (N × H)
966. C₂×C₄	C₅×D₃×D₄	semidirect
983. C₅	D₄×#235	direct (N × H)
999. C₂²	C₂×C₅×#235	semidirect
1011. C₄	C₂×C₅×#235	semidirect
1014. C₃	C₅×D₄×#41	semidirect

Maximal subgroups

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

subgroup	index
C₂²×C₅×#235	2
C₂×C₃×C₄×C₅×D₄	2
C₅×D₄×#67	2
C₅×#5791	2
C₅×#5553	2
C₅×#5552	2
C₅×#5551	2
C₅×#5550	2
C₅×D₄×D₁₂	2
C₅×#5548	2
C₅×#5547	2
C₄×C₅×D₃×D₄	2
C₅×D₄×Dic₆	2
C₅×#5507	2
C₅×#5490	2
C₅×#5477	2
C₄×C₅×#235	2
C₅×D₄×#41	3
D₄×#235	5

Subgroups — C5×D4×#235 #14483048

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×D₄×#235 #14483048