Subgroups — C₅×#86387 #14481493

Order 1920.

2080 conjugacy classes of subgroups.

The subgroup lattice has 1132 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₅×#538	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×#5706	C₂	1	2	yes	maximal, complemented
3	C₅×#5701	C₂	1	2	yes	maximal, complemented
4	C₅×#5680	C₂	1	2	yes	maximal, complemented
5	C₅×#5669	C₂	1	2	yes	maximal, complemented
6	C₅×#5662	C₂	1	2	yes	maximal, complemented
7	C₅×#5649	C₂	1	2	yes	maximal, complemented
8	C₅×#5645	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅×#5622	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅×#5615	C₂	1	2	yes	maximal, complemented
11	C₅×#5602	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×#5600	C₂	1	2	yes	maximal, complemented
13	C₅×#5596	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#5593	C₂	1	2	yes	maximal, complemented
15	C₅×#5586	C₂	1	2	yes	maximal, complemented
16	C₅×#5564	C₂	1	2	yes	maximal, complemented
17	C₄×C₅×#237	C₂	1	2	yes	maximal, complemented
18	C₅×#5494	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₅×#877	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅×#3455	—	3	1	no	maximal, Hall
21	C₂³×C₅×Dic₃	C₂²	1	1	yes	characteristic
22	C₂×C₅×#237	C₂²	1	2	yes	—
23	C₃×C₅×#126	C₂²	1	2	yes	—
24	C₃×C₅×#124	C₂²	1	2	yes	—
25	C₃×C₅×#123	C₂²	1	2	yes	—
26	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
27	C₃×C₅×#121	C₂²	1	1	yes	characteristic
28	C₃×C₅×#121	C₂²	1	2	yes	—
29	C₃×C₅×#120	C₂²	1	2	yes	—
30	C₃×C₄×C₅×D₄	C₂²	1	2	yes	—
31	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
32	C₅×#953	C₂²	1	2	yes	—
33	C₂×C₅×#217	C₂²	1	1	yes	characteristic
34	C₅×#946	C₂²	1	2	yes	complemented
35	C₅×Q₈×Dic₃	C₂²	1	1	yes	characteristic, complemented
36	C₅×#944	C₂²	1	1	yes	characteristic, complemented
37	C₅×#940	C₂²	1	1	yes	characteristic, complemented
38	C₅×#939	C₂²	1	2	yes	—
39	C₅×#939	C₂²	1	2	yes	—
40	C₅×#939	C₂²	1	2	yes	—
41	C₅×#939	C₂²	1	2	yes	—
42	C₅×#938	C₂²	1	2	yes	—
43	C₅×#936	C₂²	1	2	yes	—
44	C₅×#935	C₂²	1	2	yes	—
45	C₅×#935	C₂²	1	2	yes	—
46	C₅×#935	C₂²	1	2	yes	complemented
47	C₅×D₄×Dic₃	C₂²	1	2	yes	—
48	C₅×D₄×Dic₃	C₂²	1	2	yes	—
49	C₅×D₄×Dic₃	C₂²	1	2	yes	—
50	C₅×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
51	C₅×#930	C₂²	1	1	yes	characteristic
52	C₅×#929	C₂²	1	2	yes	complemented
53	C₄×C₅×#67	C₂²	1	2	yes	—
54	C₄×C₅×#67	C₂²	1	2	yes	complemented
55	C₅×#924	C₂²	1	1	yes	characteristic
56	C₅×#924	C₂²	1	2	yes	complemented
57	C₂×C₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
58	C₂×C₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
59	C₂×C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic
60	C₂×C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic
61	C₂×C₄×C₅×Dic₃	C₂²	1	2	yes	complemented
62	C₅×#898	C₂²	1	2	yes	complemented
63	C₅×#896	C₂²	1	2	yes	complemented
64	C₅×#894	C₂²	1	2	yes	complemented
65	C₅×#893	C₂²	1	1	yes	characteristic, complemented
66	C₅×#892	C₂²	1	2	yes	complemented
67	C₅×#890	C₂²	1	2	yes	complemented
68	C₅×#889	C₂²	1	2	yes	complemented
69	C₅×#889	C₂²	1	2	yes	complemented
70	C₅×#889	C₂²	1	2	yes	complemented
71	C₅×#888	C₂²	1	1	yes	characteristic, complemented
72	C₅×#888	C₂²	1	1	yes	characteristic, complemented
73	C₅×#887	C₂²	1	1	yes	characteristic, complemented
74	C₅×#887	C₂²	1	2	yes	complemented
75	C₅×#887	C₂²	1	2	yes	complemented
76	C₅×#886	C₂²	1	2	yes	—
77	C₅×#885	C₂²	1	2	yes	—
78	C₅×#885	C₂²	1	2	yes	—
79	C₅×#885	C₂²	1	2	yes	complemented
80	C₅×#884	C₂²	1	2	yes	—
81	C₅×#883	C₂²	1	2	yes	—
82	C₅×#883	C₂²	1	2	yes	—
83	C₅×#883	C₂²	1	2	yes	complemented
84	C₅×#67⋊C₄	C₂²	1	2	yes	—
85	C₅×#67⋊C₄	C₂²	1	2	yes	—
86	C₅×#67⋊C₄	C₂²	1	2	yes	—
87	C₅×#67⋊C₄	C₂²	1	2	yes	complemented
88	C₅×#67⋊C₄	C₂²	1	2	yes	complemented
89	C₅×#879	C₂²	1	2	yes	—
90	C₅×#879	C₂²	1	2	yes	—
91	C₅×#879	C₂²	1	2	yes	—
92	C₅×#879	C₂²	1	2	yes	complemented
93	C₅×#879	C₂²	1	2	yes	complemented
94	C₅×#878	C₂²	1	2	yes	—
95	C₅×#878	C₂²	1	2	yes	—
96	C₅×#878	C₂²	1	2	yes	—
97	C₅×#878	C₂²	1	2	yes	complemented
98	C₅×#877	C₂²	1	2	yes	—
99	C₅×#877	C₂²	1	2	yes	—
100	C₅×#877	C₂²	1	2	yes	—
101	C₅×#877	C₂²	1	2	yes	—
102	C₅×#877	C₂²	1	2	yes	—
103	C₅×#877	C₂²	1	2	yes	complemented
104	C₅×#876	C₂²	1	2	yes	complemented
105	C₄²×C₅×D₃	C₂²	1	2	yes	complemented
106	C₅×#870	C₂²	1	2	yes	complemented
107	C₄×C₅×Dic₆	C₂²	1	2	yes	complemented
108	#86387	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
109	C₅×#542	—	3	2	no	—
110	C₅×#542	—	3	2	no	—
111	C₅×#541	—	3	2	no	—
112	C₅×#540	—	3	2	no	—
113	C₅×#539	—	3	1	no	—
114	C₅×#539	—	3	1	no	—
115	C₅×#539	—	3	2	no	—
116	C₅×#538	—	3	2	no	—
117	C₅×#538	—	3	1	no	—
118	C₅×#538	D₃	1	1	yes	characteristic, complemented
119	C₅×#533	—	3	1	no	—
120	C₅×#532	—	3	1	no	—
121	C₅×#529	—	3	2	no	—
122	C₅×#529	—	3	2	no	—
123	C₅×#529	—	3	2	no	—
124	C₅×#529	—	3	2	no	—
125	C₅×#525	—	3	2	no	—
126	C₄×C₅×#41	—	3	2	no	—
127	C₂×C₅×#117	—	3	1	no	—
128	C₂⁴×C₃×C₅	C₂³	1	1	yes	characteristic
129	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic
130	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
131	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
132	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
133	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
134	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
135	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
136	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
137	C₂×C₅×#67	C₂³	1	2	yes	—
138	C₂×C₅×#67	C₂³	1	2	yes	—
139	C₂×C₅×#67	C₂³	1	2	yes	—
140	C₂×C₅×#67	C₂³	1	2	yes	—
141	C₂×C₅×#67	C₂³	1	2	yes	—
142	C₂²×C₅×Dic₃	—	2	4	no	—
143	C₂²×C₅×Dic₃	C₂³	1	2	yes	—
144	C₂²×C₅×Dic₃	C₂³	1	2	yes	—
145	C₂²×C₅×Dic₃	C₂³	1	2	yes	—
146	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
147	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
148	C₂²×C₅×Dic₃	C₂³	1	2	yes	—
149	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
150	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
151	C₅×#237	—	2	8	no	—
152	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
153	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
154	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
155	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
156	C₂×C₅×Dic₆	C₂³	1	2	yes	—
157	C₂×C₅×Dic₆	C₂³	1	2	yes	—
158	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
159	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
160	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
161	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
162	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
163	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
164	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
165	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
166	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
167	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
168	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
169	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
170	C₃×C₄²×C₅	C₂³	1	2	yes	—
171	C₅×#217	C₂³	1	2	yes	—
172	C₅×#217	C₂³	1	2	yes	—
173	C₅×#217	C₂³	1	2	yes	—
174	C₅×#217	C₂³	1	2	yes	—
175	C₅×#217	C₂³	1	2	yes	—
176	C₅×#217	C₂³	1	2	yes	—
177	C₅×#217	C₂³	1	2	yes	—
178	C₅×#217	C₂³	1	2	yes	—
179	C₅×#217	C₂³	1	2	yes	—
180	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
181	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
182	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
183	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
184	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
185	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
186	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
187	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
188	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
189	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
190	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
191	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
192	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
193	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
194	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
195	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
196	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
197	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
198	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
199	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
200	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
201	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
202	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
203	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
204	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
205	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
206	C₄×C₅×Dic₃	C₂³	1	2	yes	—
207	C₄×C₅×Dic₃	C₂³	1	2	yes	—
208	C₄×C₅×Dic₃	C₂³	1	2	yes	—
209	C₄×C₅×Dic₃	C₂³	1	2	yes	—
210	C₄×C₅×Dic₃	C₂³	1	2	yes	—
211	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
212	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
213	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
214	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
215	C₄×C₅×Dic₃	C₂³	1	2	yes	—
216	C₄×C₅×Dic₃	C₂³	1	2	yes	—
217	C₃×#538	C₂×C₅	1	1	yes	characteristic, complemented
218	#5706	C₂×C₅	1	2	yes	complemented
219	#5701	C₂×C₅	1	2	yes	complemented
220	#5680	C₂×C₅	1	2	yes	complemented
221	#5669	C₂×C₅	1	2	yes	complemented
222	#5662	C₂×C₅	1	2	yes	complemented
223	#5649	C₂×C₅	1	2	yes	complemented
224	#5645	C₂×C₅	1	1	yes	characteristic, complemented
225	#5622	C₂×C₅	1	1	yes	characteristic, complemented
226	#5615	C₂×C₅	1	2	yes	complemented
227	#5602	C₂×C₅	1	1	yes	characteristic, complemented
228	#5600	C₂×C₅	1	2	yes	complemented
229	#5596	C₂×C₅	1	1	yes	characteristic, complemented
230	#5593	C₂×C₅	1	2	yes	complemented
231	#5586	C₂×C₅	1	2	yes	complemented
232	#5564	C₂×C₅	1	2	yes	complemented
233	C₄×#237	C₂×C₅	1	2	yes	complemented
234	#5494	C₂×C₅	1	1	yes	characteristic, complemented
235	C₂×#877	C₂×C₅	1	1	yes	characteristic, complemented
236	C₂×C₅×#41	—	3	2	no	—
237	C₂³×C₄×C₅	—	3	1	no	—
238	C₅×C₄⋊Q₈	—	3	1	no	—
239	C₅×C₄⋊Q₈	—	3	1	no	—
240	C₅×C₄⋊Q₈	—	3	1	no	—
241	C₅×#127	—	3	1	no	—
242	C₅×#126	—	3	2	no	—
243	C₅×#126	—	3	2	no	—
244	C₅×#126	—	3	2	no	—
245	C₅×#126	—	3	2	no	—
246	C₅×#126	—	3	2	no	—
247	C₅×#126	—	3	2	no	—
248	C₅×#126	—	3	2	no	—
249	C₅×#126	C₂×D₃	1	2	yes	—
250	C₅×#125	—	3	2	no	—
251	C₅×#125	—	3	2	no	—
252	C₅×#125	—	3	2	no	—
253	C₅×#125	—	3	2	no	—
254	C₅×#125	—	3	2	no	—
255	C₅×#124	—	3	2	no	—
256	C₅×#124	—	3	2	no	—
257	C₅×#124	—	3	2	no	—
258	C₅×#124	—	3	2	no	—
259	C₅×#124	C₂×D₃	1	2	yes	—
260	C₅×#123	—	3	2	no	—
261	C₅×#123	—	3	2	no	—
262	C₅×#123	—	3	2	no	—
263	C₅×#123	—	3	2	no	—
264	C₅×#123	—	3	2	no	—
265	C₅×#123	—	3	2	no	—
266	C₅×#123	—	3	2	no	—
267	C₅×#123	—	3	2	no	—
268	C₅×#123	—	3	2	no	—
269	C₅×#123	C₂×D₃	1	2	yes	—
270	C₅×C₂²⋊Q₈	—	3	2	no	—
271	C₅×C₂²⋊Q₈	—	3	1	no	—
272	C₅×C₂²⋊Q₈	—	3	2	no	—
273	C₅×C₂²⋊Q₈	—	3	2	no	—
274	C₅×C₂²⋊Q₈	—	3	2	no	—
275	C₅×C₂²⋊Q₈	—	3	2	no	—
276	C₅×C₂²⋊Q₈	—	3	2	no	—
277	C₅×C₂²⋊Q₈	—	3	2	no	—
278	C₅×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic
279	C₅×#121	—	3	2	no	—
280	C₅×#121	—	3	2	no	—
281	C₅×#121	—	3	2	no	—
282	C₅×#121	—	3	2	no	—
283	C₅×#121	—	3	2	no	—
284	C₅×#121	—	3	1	no	—
285	C₅×#121	—	3	2	no	—
286	C₅×#121	C₂×D₃	1	2	yes	—
287	C₅×#121	C₂×D₃	1	1	yes	characteristic
288	C₅×#120	—	3	2	no	—
289	C₅×#120	C₂×D₃	1	2	yes	—
290	C₄×C₅×Q₈	—	3	1	no	—
291	C₄×C₅×Q₈	—	3	2	no	—
292	C₄×C₅×Q₈	—	3	1	no	—
293	C₄×C₅×Q₈	—	3	2	no	—
294	C₄×C₅×Q₈	—	3	2	no	—
295	C₄×C₅×D₄	—	3	2	no	—
296	C₄×C₅×D₄	—	3	2	no	—
297	C₄×C₅×D₄	—	3	2	no	—
298	C₄×C₅×D₄	—	3	1	no	—
299	C₄×C₅×D₄	—	3	2	no	—
300	C₄×C₅×D₄	—	3	2	no	—
301	C₄×C₅×D₄	—	3	1	no	—
302	C₄×C₅×D₄	—	3	2	no	—
303	C₄×C₅×D₄	—	3	2	no	—
304	C₄×C₅×D₄	—	3	2	no	—
305	C₄×C₅×D₄	—	3	2	no	—
306	C₄×C₅×D₄	—	3	2	no	—
307	C₄×C₅×D₄	C₂×D₃	1	2	yes	—
308	C₅×#117	—	3	2	no	—
309	C₅×#117	—	3	2	no	—
310	C₅×#117	—	3	2	no	—
311	C₅×#117	—	3	2	no	—
312	C₅×#117	—	3	2	no	—
313	C₅×#117	—	3	2	no	—
314	C₅×#117	—	3	2	no	—
315	C₂×C₅×C₄⋊C₄	—	3	1	no	—
316	C₂×C₅×C₄⋊C₄	—	3	1	no	—
317	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
318	C₂×C₅×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
319	C₂×C₄²×C₅	—	3	1	no	—
320	C₂×C₄²×C₅	—	3	1	no	—
321	C₂×C₄²×C₅	—	3	2	no	—
322	C₂×C₄²×C₅	—	3	2	no	—
323	#3455	—	3	1	no	Sylow
324	C₂³×C₃×C₅	—	2	2	no	—
325	C₂³×C₃×C₅	—	4	1	no	—
326	C₂³×C₃×C₅	—	4	1	no	—
327	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
328	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
329	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
330	C₂²×C₅×D₃	C₂⁴	1	2	yes	—
331	C₃×C₅×Q₈	—	4	1	no	—
332	C₃×C₅×D₄	—	2	4	no	—
333	C₃×C₅×D₄	—	4	2	no	—
334	C₃×C₅×D₄	—	4	2	no	—
335	C₃×C₅×D₄	—	4	1	no	—
336	C₂×C₃×C₄×C₅	—	4	2	no	—
337	C₂×C₃×C₄×C₅	—	4	1	no	—
338	C₂×C₃×C₄×C₅	—	4	1	no	—
339	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
340	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
341	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
342	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
343	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
344	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
345	C₅×#67	—	2	4	no	—
346	C₅×#67	—	2	4	no	—
347	C₅×#67	—	4	2	no	—
348	C₅×#67	—	4	2	no	—
349	C₅×#67	—	4	2	no	—
350	C₂×C₅×Dic₃	—	2	2	no	—
351	C₂×C₅×Dic₃	—	2	4	no	—
352	C₂×C₅×Dic₃	—	2	4	no	—
353	C₂×C₅×Dic₃	—	2	4	no	—
354	C₂×C₅×Dic₃	—	4	1	no	—
355	C₂×C₅×Dic₃	—	4	2	no	—
356	C₂×C₅×Dic₃	—	4	1	no	—
357	C₂×C₅×Dic₃	#41	1	4	yes	—
358	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
359	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
360	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
361	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
362	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
363	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
364	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
365	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
366	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
367	C₅×D₁₂	—	4	1	no	—
368	C₄×C₅×D₃	—	2	4	no	—
369	C₄×C₅×D₃	—	4	2	no	—
370	C₄×C₅×D₃	—	4	2	no	—
371	C₅×Dic₆	—	2	4	no	—
372	C₅×Dic₆	—	4	2	no	—
373	C₅×Dic₆	—	4	1	no	—
374	C₂³×Dic₃	C₂²×C₅	1	1	yes	characteristic
375	C₂×#237	C₂²×C₅	1	2	yes	—
376	C₃×#126	C₂²×C₅	1	2	yes	—
377	C₃×#124	C₂²×C₅	1	2	yes	—
378	C₃×#123	C₂²×C₅	1	2	yes	—
379	C₃×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
380	C₃×#121	C₂²×C₅	1	1	yes	characteristic
381	C₃×#121	C₂²×C₅	1	2	yes	—
382	C₃×#120	C₂²×C₅	1	2	yes	—
383	C₃×C₄×D₄	C₂²×C₅	1	2	yes	—
384	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
385	#953	C₂²×C₅	1	2	yes	—
386	C₂×#217	C₂²×C₅	1	1	yes	characteristic
387	#946	C₂²×C₅	1	2	yes	complemented
388	Q₈×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
389	#944	C₂²×C₅	1	1	yes	characteristic, complemented
390	#940	C₂²×C₅	1	1	yes	characteristic, complemented
391	#939	C₂²×C₅	1	2	yes	—
392	#939	C₂²×C₅	1	2	yes	—
393	#939	C₂²×C₅	1	2	yes	—
394	#939	C₂²×C₅	1	2	yes	—
395	#938	C₂²×C₅	1	2	yes	—
396	#936	C₂²×C₅	1	2	yes	—
397	#935	C₂²×C₅	1	2	yes	—
398	#935	C₂²×C₅	1	2	yes	—
399	#935	C₂²×C₅	1	2	yes	complemented
400	D₄×Dic₃	C₂²×C₅	1	2	yes	—
401	D₄×Dic₃	C₂²×C₅	1	2	yes	—
402	D₄×Dic₃	C₂²×C₅	1	2	yes	—
403	D₄×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
404	#930	C₂²×C₅	1	1	yes	characteristic
405	#929	C₂²×C₅	1	2	yes	complemented
406	C₄×#67	C₂²×C₅	1	2	yes	—
407	C₄×#67	C₂²×C₅	1	2	yes	complemented
408	#924	C₂²×C₅	1	1	yes	characteristic
409	#924	C₂²×C₅	1	2	yes	complemented
410	C₂×Dic₃⋊C₄	C₂²×C₅	1	1	yes	characteristic
411	C₂×Dic₃⋊C₄	C₂²×C₅	1	1	yes	characteristic
412	C₂×C₄×Dic₃	C₂²×C₅	1	1	yes	characteristic
413	C₂×C₄×Dic₃	C₂²×C₅	1	1	yes	characteristic
414	C₂×C₄×Dic₃	C₂²×C₅	1	2	yes	complemented
415	#898	C₂²×C₅	1	2	yes	complemented
416	#896	C₂²×C₅	1	2	yes	complemented
417	#894	C₂²×C₅	1	2	yes	complemented
418	#893	C₂²×C₅	1	1	yes	characteristic, complemented
419	#892	C₂²×C₅	1	2	yes	complemented
420	#890	C₂²×C₅	1	2	yes	complemented
421	#889	C₂²×C₅	1	2	yes	complemented
422	#889	C₂²×C₅	1	2	yes	complemented
423	#889	C₂²×C₅	1	2	yes	complemented
424	#888	C₂²×C₅	1	1	yes	characteristic, complemented
425	#888	C₂²×C₅	1	1	yes	characteristic, complemented
426	#887	C₂²×C₅	1	1	yes	characteristic, complemented
427	#887	C₂²×C₅	1	2	yes	complemented
428	#887	C₂²×C₅	1	2	yes	complemented
429	#886	C₂²×C₅	1	2	yes	—
430	#885	C₂²×C₅	1	2	yes	—
431	#885	C₂²×C₅	1	2	yes	—
432	#885	C₂²×C₅	1	2	yes	complemented
433	#884	C₂²×C₅	1	2	yes	—
434	#883	C₂²×C₅	1	2	yes	—
435	#883	C₂²×C₅	1	2	yes	—
436	#883	C₂²×C₅	1	2	yes	complemented
437	#67⋊C₄	C₂²×C₅	1	2	yes	—
438	#67⋊C₄	C₂²×C₅	1	2	yes	—
439	#67⋊C₄	C₂²×C₅	1	2	yes	—
440	#67⋊C₄	C₂²×C₅	1	2	yes	complemented
441	#67⋊C₄	C₂²×C₅	1	2	yes	complemented
442	#879	C₂²×C₅	1	2	yes	—
443	#879	C₂²×C₅	1	2	yes	—
444	#879	C₂²×C₅	1	2	yes	—
445	#879	C₂²×C₅	1	2	yes	complemented
446	#879	C₂²×C₅	1	2	yes	complemented
447	#878	C₂²×C₅	1	2	yes	—
448	#878	C₂²×C₅	1	2	yes	—
449	#878	C₂²×C₅	1	2	yes	—
450	#878	C₂²×C₅	1	2	yes	complemented
451	#877	C₂²×C₅	1	2	yes	—
452	#877	C₂²×C₅	1	2	yes	—
453	#877	C₂²×C₅	1	2	yes	—
454	#877	C₂²×C₅	1	2	yes	—
455	#877	C₂²×C₅	1	2	yes	—
456	#877	C₂²×C₅	1	2	yes	complemented
457	#876	C₂²×C₅	1	2	yes	complemented
458	C₄²×D₃	C₂²×C₅	1	2	yes	complemented
459	#870	C₂²×C₅	1	2	yes	complemented
460	C₄×Dic₆	C₂²×C₅	1	2	yes	complemented
461	C₂⁴×C₅	C₂²×D₃	1	1	yes	characteristic
462	C₅×#41	—	6	8	no	—
463	C₂×C₅×Q₈	—	3	2	no	—
464	C₂×C₅×Q₈	—	3	2	no	—
465	C₂×C₅×Q₈	—	3	1	no	—
466	C₂×C₅×Q₈	C₂²×D₃	1	1	yes	characteristic
467	C₂×C₅×D₄	—	3	2	no	—
468	C₂×C₅×D₄	—	3	2	no	—
469	C₂×C₅×D₄	—	3	2	no	—
470	C₂×C₅×D₄	—	3	2	no	—
471	C₂×C₅×D₄	—	3	2	no	—
472	C₂×C₅×D₄	—	3	1	no	—
473	C₂×C₅×D₄	C₂²×D₃	1	2	yes	—
474	C₂×C₅×D₄	C₂²×D₃	1	2	yes	—
475	C₂×C₅×D₄	C₂²×D₃	1	2	yes	—
476	C₂×C₅×D₄	C₂²×D₃	1	1	yes	characteristic
477	C₂²×C₄×C₅	—	3	1	no	—
478	C₂²×C₄×C₅	—	3	2	no	—
479	C₂²×C₄×C₅	—	3	1	no	—
480	C₂²×C₄×C₅	—	3	2	no	—
481	C₂²×C₄×C₅	—	3	2	no	—
482	C₂²×C₄×C₅	—	3	1	no	—
483	C₂²×C₄×C₅	—	3	1	no	—
484	C₂²×C₄×C₅	—	3	2	no	—
485	C₂²×C₄×C₅	—	3	2	no	—
486	C₂²×C₄×C₅	—	3	2	no	—
487	C₂²×C₄×C₅	—	3	2	no	—
488	C₂²×C₄×C₅	—	6	4	no	—
489	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
490	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
491	C₂²×C₄×C₅	C₂²×D₃	1	2	yes	—
492	C₅×C₄⋊C₄	—	3	2	no	—
493	C₅×C₄⋊C₄	—	3	2	no	—
494	C₅×C₄⋊C₄	—	3	2	no	—
495	C₅×C₄⋊C₄	—	3	2	no	—
496	C₅×C₄⋊C₄	—	3	2	no	—
497	C₅×C₄⋊C₄	—	3	2	no	—
498	C₅×C₄⋊C₄	—	3	2	no	—
499	C₅×C₄⋊C₄	—	3	2	no	—
500	C₅×C₄⋊C₄	—	3	2	no	—
501	C₅×C₄⋊C₄	—	3	2	no	—
502	C₅×C₄⋊C₄	—	3	1	no	—
503	C₅×C₄⋊C₄	—	3	2	no	—
504	C₅×C₄⋊C₄	—	3	2	no	—
505	C₅×C₄⋊C₄	—	3	2	no	—
506	C₅×C₄⋊C₄	—	3	2	no	—
507	C₅×C₄⋊C₄	—	3	2	no	—
508	C₅×C₄⋊C₄	—	3	2	no	—
509	C₅×C₄⋊C₄	—	3	2	no	—
510	C₅×C₄⋊C₄	—	3	2	no	—
511	C₅×C₄⋊C₄	—	3	1	no	—
512	C₅×C₄⋊C₄	C₂²×D₃	1	2	yes	—
513	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
514	C₅×C₄⋊C₄	C₂²×D₃	1	2	yes	—
515	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
516	C₅×C₂²⋊C₄	—	3	2	no	—
517	C₅×C₂²⋊C₄	—	3	2	no	—
518	C₅×C₂²⋊C₄	—	3	2	no	—
519	C₅×C₂²⋊C₄	—	3	2	no	—
520	C₅×C₂²⋊C₄	—	3	2	no	—
521	C₅×C₂²⋊C₄	—	3	2	no	—
522	C₅×C₂²⋊C₄	—	3	2	no	—
523	C₅×C₂²⋊C₄	—	3	2	no	—
524	C₅×C₂²⋊C₄	—	3	2	no	—
525	C₅×C₂²⋊C₄	—	3	2	no	—
526	C₅×C₂²⋊C₄	—	3	2	no	—
527	C₅×C₂²⋊C₄	—	3	2	no	—
528	C₅×C₂²⋊C₄	—	3	2	no	—
529	C₅×C₂²⋊C₄	—	3	2	no	—
530	C₅×C₂²⋊C₄	—	3	2	no	—
531	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
532	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
533	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
534	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
535	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
536	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
537	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
538	C₄²×C₅	—	3	2	no	—
539	C₄²×C₅	—	3	1	no	—
540	C₄²×C₅	—	3	2	no	—
541	C₄²×C₅	—	3	2	no	—
542	C₄²×C₅	—	3	1	no	—
543	C₄²×C₅	—	3	2	no	—
544	C₄²×C₅	—	3	1	no	—
545	C₄²×C₅	—	3	1	no	—
546	C₄²×C₅	—	3	2	no	—
547	C₄²×C₅	—	3	2	no	—
548	C₄²×C₅	—	3	2	no	—
549	C₄²×C₅	C₂²×D₃	1	2	yes	—
550	#542	—	3	2	no	—
551	#542	—	3	2	no	—
552	#541	—	3	2	no	—
553	#540	—	3	2	no	—
554	#539	—	3	1	no	—
555	#539	—	3	1	no	—
556	#539	—	3	2	no	—
557	#538	—	3	2	no	—
558	#538	—	3	1	no	—
559	#538	C₅×D₃	1	1	yes	characteristic, complemented
560	#533	—	3	1	no	—
561	#532	—	3	1	no	—
562	#529	—	3	2	no	—
563	#529	—	3	2	no	—
564	#529	—	3	2	no	—
565	#529	—	3	2	no	—
566	#525	—	3	2	no	—
567	C₄×#41	—	3	2	no	—
568	C₂×#117	—	3	1	no	—
569	C₂²×C₃×C₅	—	2	1	no	—
570	C₂²×C₃×C₅	—	2	1	no	—
571	C₂²×C₃×C₅	—	2	2	no	—
572	C₂²×C₃×C₅	—	2	2	no	—
573	C₂²×C₃×C₅	—	2	2	no	—
574	C₂²×C₃×C₅	—	2	2	no	—
575	C₂²×C₃×C₅	—	2	2	no	—
576	C₂²×C₃×C₅	—	2	2	no	—
577	C₂²×C₃×C₅	—	4	4	no	—
578	C₂²×C₃×C₅	C₂×#41	1	2	yes	—
579	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
580	C₂×C₅×D₃	—	2	2	no	—
581	C₂×C₅×D₃	—	2	2	no	—
582	C₂×C₅×D₃	—	2	2	no	—
583	C₃×C₄×C₅	—	2	2	no	—
584	C₃×C₄×C₅	—	2	2	no	—
585	C₃×C₄×C₅	—	2	1	no	—
586	C₃×C₄×C₅	—	2	2	no	—
587	C₃×C₄×C₅	—	2	2	no	—
588	C₃×C₄×C₅	—	2	1	no	—
589	C₅×Dic₃	—	2	2	no	—
590	C₅×Dic₃	—	2	2	no	—
591	C₅×Dic₃	—	2	1	no	—
592	C₅×Dic₃	—	2	2	no	—
593	C₅×Dic₃	—	2	2	no	—
594	C₅×Dic₃	—	2	2	no	—
595	C₅×Dic₃	—	2	1	no	—
596	C₅×Dic₃	C₂×#41	1	2	yes	—
597	C₅×Dic₃	C₂×#41	1	2	yes	—
598	C₂⁴×C₃	C₂³×C₅	1	1	yes	characteristic
599	C₂×C₃×Q₈	C₂³×C₅	1	1	yes	characteristic
600	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
601	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
602	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
603	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
604	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
605	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
606	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
607	C₂×#67	C₂³×C₅	1	2	yes	—
608	C₂×#67	C₂³×C₅	1	2	yes	—
609	C₂×#67	C₂³×C₅	1	2	yes	—
610	C₂×#67	C₂³×C₅	1	2	yes	—
611	C₂×#67	C₂³×C₅	1	2	yes	—
612	C₂²×Dic₃	—	2	4	no	—
613	C₂²×Dic₃	C₂³×C₅	1	2	yes	—
614	C₂²×Dic₃	C₂³×C₅	1	2	yes	—
615	C₂²×Dic₃	C₂³×C₅	1	2	yes	—
616	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
617	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
618	C₂²×Dic₃	C₂³×C₅	1	2	yes	—
619	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
620	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
621	#237	—	2	8	no	—
622	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic
623	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
624	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
625	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
626	C₂×Dic₆	C₂³×C₅	1	2	yes	—
627	C₂×Dic₆	C₂³×C₅	1	2	yes	—
628	C₂×Dic₆	C₂³×C₅	1	1	yes	characteristic
629	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
630	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
631	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
632	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
633	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
634	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
635	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
636	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
637	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
638	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
639	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
640	C₃×C₄²	C₂³×C₅	1	2	yes	—
641	#217	C₂³×C₅	1	2	yes	—
642	#217	C₂³×C₅	1	2	yes	—
643	#217	C₂³×C₅	1	2	yes	—
644	#217	C₂³×C₅	1	2	yes	—
645	#217	C₂³×C₅	1	2	yes	—
646	#217	C₂³×C₅	1	2	yes	—
647	#217	C₂³×C₅	1	2	yes	—
648	#217	C₂³×C₅	1	2	yes	—
649	#217	C₂³×C₅	1	2	yes	—
650	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
651	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
652	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
653	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
654	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
655	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
656	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
657	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
658	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
659	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
660	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
661	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
662	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
663	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
664	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
665	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
666	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
667	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
668	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
669	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
670	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
671	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
672	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
673	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
674	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
675	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
676	C₄×Dic₃	C₂³×C₅	1	2	yes	—
677	C₄×Dic₃	C₂³×C₅	1	2	yes	—
678	C₄×Dic₃	C₂³×C₅	1	2	yes	—
679	C₄×Dic₃	C₂³×C₅	1	2	yes	—
680	C₄×Dic₃	C₂³×C₅	1	2	yes	—
681	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
682	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
683	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
684	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
685	C₄×Dic₃	C₂³×C₅	1	2	yes	—
686	C₄×Dic₃	C₂³×C₅	1	2	yes	—
687	C₂³×C₅	—	2	2	no	—
688	C₂³×C₅	—	3	2	no	—
689	C₂³×C₅	—	4	1	no	—
690	C₂³×C₅	—	4	1	no	—
691	C₂³×C₅	C₂³×D₃	1	2	yes	—
692	C₂³×C₅	C₂³×D₃	1	2	yes	—
693	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
694	C₅×Q₈	—	4	1	no	—
695	C₅×Q₈	—	6	4	no	—
696	C₅×Q₈	—	12	2	no	—
697	C₅×Q₈	—	12	1	no	—
698	C₅×D₄	—	2	4	no	—
699	C₅×D₄	—	4	1	no	—
700	C₅×D₄	—	4	2	no	—
701	C₅×D₄	—	4	2	no	—
702	C₅×D₄	—	6	4	no	—
703	C₅×D₄	—	6	4	no	—
704	C₅×D₄	—	12	1	no	—
705	C₅×D₄	—	12	2	no	—
706	C₅×D₄	—	12	2	no	—
707	C₅×D₄	—	12	2	no	—
708	C₂×C₄×C₅	—	3	4	no	—
709	C₂×C₄×C₅	—	3	1	no	—
710	C₂×C₄×C₅	—	3	1	no	—
711	C₂×C₄×C₅	—	3	2	no	—
712	C₂×C₄×C₅	—	3	1	no	—
713	C₂×C₄×C₅	—	3	2	no	—
714	C₂×C₄×C₅	—	3	2	no	—
715	C₂×C₄×C₅	—	3	2	no	—
716	C₂×C₄×C₅	—	3	1	no	—
717	C₂×C₄×C₅	—	3	2	no	—
718	C₂×C₄×C₅	—	4	1	no	—
719	C₂×C₄×C₅	—	4	2	no	—
720	C₂×C₄×C₅	—	4	1	no	—
721	C₂×C₄×C₅	—	6	4	no	—
722	C₂×C₄×C₅	—	6	4	no	—
723	C₂×C₄×C₅	—	6	4	no	—
724	C₂×C₄×C₅	—	6	4	no	—
725	C₂×C₄×C₅	—	6	2	no	—
726	C₂×C₄×C₅	—	12	2	no	—
727	C₂×C₄×C₅	—	12	2	no	—
728	C₂×C₄×C₅	—	12	1	no	—
729	C₂×C₄×C₅	—	12	2	no	—
730	C₂×C₄×C₅	—	12	1	no	—
731	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
732	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
733	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
734	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
735	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
736	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
737	C₂×#41	—	3	2	no	—
738	C₂³×C₄	—	3	1	no	—
739	C₄⋊Q₈	—	3	1	no	—
740	C₄⋊Q₈	—	3	1	no	—
741	C₄⋊Q₈	—	3	1	no	—
742	#127	—	3	1	no	—
743	#126	—	3	2	no	—
744	#126	—	3	2	no	—
745	#126	—	3	2	no	—
746	#126	—	3	2	no	—
747	#126	—	3	2	no	—
748	#126	—	3	2	no	—
749	#126	—	3	2	no	—
750	#126	C₂×C₅×D₃	1	2	yes	—
751	#125	—	3	2	no	—
752	#125	—	3	2	no	—
753	#125	—	3	2	no	—
754	#125	—	3	2	no	—
755	#125	—	3	2	no	—
756	#124	—	3	2	no	—
757	#124	—	3	2	no	—
758	#124	—	3	2	no	—
759	#124	—	3	2	no	—
760	#124	C₂×C₅×D₃	1	2	yes	—
761	#123	—	3	2	no	—
762	#123	—	3	2	no	—
763	#123	—	3	2	no	—
764	#123	—	3	2	no	—
765	#123	—	3	2	no	—
766	#123	—	3	2	no	—
767	#123	—	3	2	no	—
768	#123	—	3	2	no	—
769	#123	—	3	2	no	—
770	#123	C₂×C₅×D₃	1	2	yes	—
771	C₂²⋊Q₈	—	3	2	no	—
772	C₂²⋊Q₈	—	3	2	no	—
773	C₂²⋊Q₈	—	3	1	no	—
774	C₂²⋊Q₈	—	3	2	no	—
775	C₂²⋊Q₈	—	3	2	no	—
776	C₂²⋊Q₈	—	3	2	no	—
777	C₂²⋊Q₈	—	3	2	no	—
778	C₂²⋊Q₈	—	3	2	no	—
779	C₂²⋊Q₈	C₂×C₅×D₃	1	1	yes	characteristic
780	#121	—	3	2	no	—
781	#121	—	3	2	no	—
782	#121	—	3	2	no	—
783	#121	—	3	2	no	—
784	#121	—	3	2	no	—
785	#121	—	3	1	no	—
786	#121	—	3	2	no	—
787	#121	C₂×C₅×D₃	1	2	yes	—
788	#121	C₂×C₅×D₃	1	1	yes	characteristic
789	#120	—	3	2	no	—
790	#120	C₂×C₅×D₃	1	2	yes	—
791	C₄×Q₈	—	3	1	no	—
792	C₄×Q₈	—	3	2	no	—
793	C₄×Q₈	—	3	1	no	—
794	C₄×Q₈	—	3	2	no	—
795	C₄×Q₈	—	3	2	no	—
796	C₄×D₄	—	3	2	no	—
797	C₄×D₄	—	3	2	no	—
798	C₄×D₄	—	3	2	no	—
799	C₄×D₄	—	3	1	no	—
800	C₄×D₄	—	3	2	no	—
801	C₄×D₄	—	3	2	no	—
802	C₄×D₄	—	3	1	no	—
803	C₄×D₄	—	3	2	no	—
804	C₄×D₄	—	3	2	no	—
805	C₄×D₄	—	3	2	no	—
806	C₄×D₄	—	3	2	no	—
807	C₄×D₄	—	3	2	no	—
808	C₄×D₄	C₂×C₅×D₃	1	2	yes	—
809	#117	—	3	2	no	—
810	#117	—	3	2	no	—
811	#117	—	3	2	no	—
812	#117	—	3	2	no	—
813	#117	—	3	2	no	—
814	#117	—	3	2	no	—
815	#117	—	3	2	no	—
816	C₂×C₄⋊C₄	—	3	1	no	—
817	C₂×C₄⋊C₄	—	3	1	no	—
818	C₂×C₂²⋊C₄	—	3	1	no	—
819	C₂×C₂²⋊C₄	C₂×C₅×D₃	1	1	yes	characteristic
820	C₂×C₄²	—	3	1	no	—
821	C₂×C₄²	—	3	1	no	—
822	C₂×C₄²	—	3	2	no	—
823	C₂×C₄²	—	3	2	no	—
824	C₂×C₃×C₅	—	2	2	no	—
825	C₂×C₃×C₅	—	4	2	no	—
826	C₂×C₃×C₅	—	4	2	no	—
827	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
828	C₂×C₃×C₅	#585	1	1	yes	characteristic
829	C₂×C₃×C₅	#585	1	1	yes	characteristic
830	C₅×D₃	—	4	2	no	—
831	C₂³×C₃	—	2	2	no	—
832	C₂³×C₃	—	4	1	no	—
833	C₂³×C₃	—	4	1	no	—
834	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
835	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
836	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
837	C₂²×D₃	C₂⁴×C₅	1	2	yes	—
838	C₃×Q₈	—	4	1	no	—
839	C₃×D₄	—	2	4	no	—
840	C₃×D₄	—	4	2	no	—
841	C₃×D₄	—	4	2	no	—
842	C₃×D₄	—	4	1	no	—
843	C₂×C₃×C₄	—	4	2	no	—
844	C₂×C₃×C₄	—	4	1	no	—
845	C₂×C₃×C₄	—	4	1	no	—
846	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
847	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
848	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
849	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
850	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
851	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
852	#67	—	2	4	no	—
853	#67	—	2	4	no	—
854	#67	—	4	2	no	—
855	#67	—	4	2	no	—
856	#67	—	4	2	no	—
857	C₂×Dic₃	—	2	2	no	—
858	C₂×Dic₃	—	2	4	no	—
859	C₂×Dic₃	—	2	4	no	—
860	C₂×Dic₃	—	2	4	no	—
861	C₂×Dic₃	—	4	1	no	—
862	C₂×Dic₃	—	4	2	no	—
863	C₂×Dic₃	—	4	1	no	—
864	C₂×Dic₃	C₅×#41	1	4	yes	—
865	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
866	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
867	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
868	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
869	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
870	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
871	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
872	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
873	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
874	D₁₂	—	4	1	no	—
875	C₄×D₃	—	2	4	no	—
876	C₄×D₃	—	4	2	no	—
877	C₄×D₃	—	4	2	no	—
878	Dic₆	—	2	4	no	—
879	Dic₆	—	4	2	no	—
880	Dic₆	—	4	1	no	—
881	C₂²×C₅	—	2	1	no	—
882	C₂²×C₅	—	2	1	no	—
883	C₂²×C₅	—	2	2	no	—
884	C₂²×C₅	—	2	2	no	—
885	C₂²×C₅	—	2	2	no	—
886	C₂²×C₅	—	2	2	no	—
887	C₂²×C₅	—	2	2	no	—
888	C₂²×C₅	—	2	2	no	—
889	C₂²×C₅	—	4	4	no	—
890	C₂²×C₅	—	6	2	no	—
891	C₂²×C₅	—	6	2	no	—
892	C₂²×C₅	—	6	2	no	—
893	C₂²×C₅	D₃×#41	1	2	yes	—
894	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
895	C₄×C₅	—	2	2	no	—
896	C₄×C₅	—	2	2	no	—
897	C₄×C₅	—	2	1	no	—
898	C₄×C₅	—	2	2	no	—
899	C₄×C₅	—	2	1	no	—
900	C₄×C₅	—	2	2	no	—
901	C₄×C₅	—	3	2	no	—
902	C₄×C₅	—	3	2	no	—
903	C₄×C₅	—	6	2	no	—
904	C₄×C₅	—	6	2	no	—
905	C₄×C₅	—	6	2	no	—
906	C₄×C₅	—	6	1	no	—
907	C₄×C₅	—	6	2	no	—
908	C₄×C₅	—	6	2	no	—
909	C₄×C₅	—	6	1	no	—
910	C₂⁴	C₂²×C₅×D₃	1	1	yes	characteristic
911	#41	—	6	8	no	—
912	C₂×Q₈	—	3	2	no	—
913	C₂×Q₈	—	3	2	no	—
914	C₂×Q₈	—	3	1	no	—
915	C₂×Q₈	C₂²×C₅×D₃	1	1	yes	characteristic
916	C₂×D₄	—	3	2	no	—
917	C₂×D₄	—	3	2	no	—
918	C₂×D₄	—	3	2	no	—
919	C₂×D₄	—	3	2	no	—
920	C₂×D₄	—	3	2	no	—
921	C₂×D₄	—	3	1	no	—
922	C₂×D₄	C₂²×C₅×D₃	1	2	yes	—
923	C₂×D₄	C₂²×C₅×D₃	1	2	yes	—
924	C₂×D₄	C₂²×C₅×D₃	1	2	yes	—
925	C₂×D₄	C₂²×C₅×D₃	1	1	yes	characteristic
926	C₂²×C₄	—	3	1	no	—
927	C₂²×C₄	—	3	2	no	—
928	C₂²×C₄	—	3	1	no	—
929	C₂²×C₄	—	3	2	no	—
930	C₂²×C₄	—	3	2	no	—
931	C₂²×C₄	—	3	1	no	—
932	C₂²×C₄	—	3	1	no	—
933	C₂²×C₄	—	3	2	no	—
934	C₂²×C₄	—	3	2	no	—
935	C₂²×C₄	—	3	2	no	—
936	C₂²×C₄	—	3	2	no	—
937	C₂²×C₄	—	6	4	no	—
938	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
939	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
940	C₂²×C₄	C₂²×C₅×D₃	1	2	yes	—
941	C₄⋊C₄	—	3	2	no	—
942	C₄⋊C₄	—	3	2	no	—
943	C₄⋊C₄	—	3	2	no	—
944	C₄⋊C₄	—	3	2	no	—
945	C₄⋊C₄	—	3	2	no	—
946	C₄⋊C₄	—	3	2	no	—
947	C₄⋊C₄	—	3	2	no	—
948	C₄⋊C₄	—	3	2	no	—
949	C₄⋊C₄	—	3	2	no	—
950	C₄⋊C₄	—	3	2	no	—
951	C₄⋊C₄	—	3	1	no	—
952	C₄⋊C₄	—	3	2	no	—
953	C₄⋊C₄	—	3	2	no	—
954	C₄⋊C₄	—	3	2	no	—
955	C₄⋊C₄	—	3	2	no	—
956	C₄⋊C₄	—	3	2	no	—
957	C₄⋊C₄	—	3	2	no	—
958	C₄⋊C₄	—	3	2	no	—
959	C₄⋊C₄	—	3	2	no	—
960	C₄⋊C₄	—	3	1	no	—
961	C₄⋊C₄	C₂²×C₅×D₃	1	2	yes	—
962	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
963	C₄⋊C₄	C₂²×C₅×D₃	1	2	yes	—
964	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
965	C₂²⋊C₄	—	3	2	no	—
966	C₂²⋊C₄	—	3	2	no	—
967	C₂²⋊C₄	—	3	2	no	—
968	C₂²⋊C₄	—	3	2	no	—
969	C₂²⋊C₄	—	3	2	no	—
970	C₂²⋊C₄	—	3	2	no	—
971	C₂²⋊C₄	—	3	2	no	—
972	C₂²⋊C₄	—	3	2	no	—
973	C₂²⋊C₄	—	3	2	no	—
974	C₂²⋊C₄	—	3	2	no	—
975	C₂²⋊C₄	—	3	2	no	—
976	C₂²⋊C₄	—	3	2	no	—
977	C₂²⋊C₄	—	3	2	no	—
978	C₂²⋊C₄	—	3	2	no	—
979	C₂²⋊C₄	—	3	2	no	—
980	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
981	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
982	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
983	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
984	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
985	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
986	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
987	C₄²	—	3	2	no	—
988	C₄²	—	3	1	no	—
989	C₄²	—	3	2	no	—
990	C₄²	—	3	2	no	—
991	C₄²	—	3	1	no	—
992	C₄²	—	3	2	no	—
993	C₄²	—	3	1	no	—
994	C₄²	—	3	1	no	—
995	C₄²	—	3	2	no	—
996	C₄²	—	3	2	no	—
997	C₄²	—	3	2	no	—
998	C₄²	C₂²×C₅×D₃	1	2	yes	—
999	C₃×C₅	#3455	1	1	yes	characteristic, complemented, Hall
1000	C₂²×C₃	—	2	1	no	—
1001	C₂²×C₃	—	2	1	no	—
1002	C₂²×C₃	—	2	2	no	—
1003	C₂²×C₃	—	2	2	no	—
1004	C₂²×C₃	—	2	2	no	—
1005	C₂²×C₃	—	2	2	no	—
1006	C₂²×C₃	—	2	2	no	—
1007	C₂²×C₃	—	2	2	no	—
1008	C₂²×C₃	—	4	4	no	—
1009	C₂²×C₃	C₂×C₅×#41	1	2	yes	—
1010	C₂²×C₃	C₂⁵×C₅	1	1	yes	characteristic
1011	C₂×D₃	—	2	2	no	—
1012	C₂×D₃	—	2	2	no	—
1013	C₂×D₃	—	2	2	no	—
1014	C₃×C₄	—	2	2	no	—
1015	C₃×C₄	—	2	2	no	—
1016	C₃×C₄	—	2	1	no	—
1017	C₃×C₄	—	2	2	no	—
1018	C₃×C₄	—	2	2	no	—
1019	C₃×C₄	—	2	1	no	—
1020	Dic₃	—	2	2	no	—
1021	Dic₃	—	2	2	no	—
1022	Dic₃	—	2	1	no	—
1023	Dic₃	—	2	2	no	—
1024	Dic₃	—	2	2	no	—
1025	Dic₃	—	2	2	no	—
1026	Dic₃	—	2	1	no	—
1027	Dic₃	C₂×C₅×#41	1	2	yes	—
1028	Dic₃	C₂×C₅×#41	1	2	yes	—
1029	C₂×C₅	—	2	2	no	—
1030	C₂×C₅	—	4	2	no	—
1031	C₂×C₅	—	4	2	no	—
1032	C₂×C₅	—	12	2	no	—
1033	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1034	C₂×C₅	#5966	1	1	yes	characteristic
1035	C₂×C₅	#5966	1	1	yes	characteristic
1036	C₂³	—	2	2	no	—
1037	C₂³	—	3	2	no	—
1038	C₂³	—	4	1	no	—
1039	C₂³	—	4	1	no	—
1040	C₂³	C₂³×C₅×D₃	1	2	yes	—
1041	C₂³	C₂³×C₅×D₃	1	2	yes	—
1042	C₂³	C₂³×C₅×D₃	1	1	yes	characteristic
1043	Q₈	—	4	1	no	—
1044	Q₈	—	6	4	no	—
1045	Q₈	—	12	2	no	—
1046	Q₈	—	12	1	no	—
1047	D₄	—	2	4	no	—
1048	D₄	—	4	1	no	—
1049	D₄	—	4	2	no	—
1050	D₄	—	4	2	no	—
1051	D₄	—	6	4	no	—
1052	D₄	—	6	4	no	—
1053	D₄	—	12	1	no	—
1054	D₄	—	12	2	no	—
1055	D₄	—	12	2	no	—
1056	D₄	—	12	2	no	—
1057	C₂×C₄	—	3	4	no	—
1058	C₂×C₄	—	3	1	no	—
1059	C₂×C₄	—	3	1	no	—
1060	C₂×C₄	—	3	2	no	—
1061	C₂×C₄	—	3	1	no	—
1062	C₂×C₄	—	3	2	no	—
1063	C₂×C₄	—	3	2	no	—
1064	C₂×C₄	—	3	2	no	—
1065	C₂×C₄	—	3	1	no	—
1066	C₂×C₄	—	3	2	no	—
1067	C₂×C₄	—	4	1	no	—
1068	C₂×C₄	—	4	2	no	—
1069	C₂×C₄	—	4	1	no	—
1070	C₂×C₄	—	6	4	no	—
1071	C₂×C₄	—	6	4	no	—
1072	C₂×C₄	—	6	4	no	—
1073	C₂×C₄	—	6	4	no	—
1074	C₂×C₄	—	6	2	no	—
1075	C₂×C₄	—	12	2	no	—
1076	C₂×C₄	—	12	2	no	—
1077	C₂×C₄	—	12	1	no	—
1078	C₂×C₄	—	12	2	no	—
1079	C₂×C₄	—	12	1	no	—
1080	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
1081	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1082	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
1083	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1084	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
1085	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
1086	C₂×C₃	—	2	2	no	—
1087	C₂×C₃	—	4	2	no	—
1088	C₂×C₃	—	4	2	no	—
1089	C₂×C₃	C₂²×C₅×#41	1	1	yes	characteristic
1090	C₂×C₃	C₅×#585	1	1	yes	characteristic
1091	C₂×C₃	C₅×#585	1	1	yes	characteristic
1092	D₃	—	4	2	no	—
1093	C₅	#86387	1	1	yes	characteristic, direct product factor, Sylow
1094	C₂²	—	2	1	no	—
1095	C₂²	—	2	1	no	—
1096	C₂²	—	2	2	no	—
1097	C₂²	—	2	2	no	—
1098	C₂²	—	2	2	no	—
1099	C₂²	—	2	2	no	—
1100	C₂²	—	2	2	no	—
1101	C₂²	—	2	2	no	—
1102	C₂²	—	4	4	no	—
1103	C₂²	—	6	2	no	—
1104	C₂²	—	6	2	no	—
1105	C₂²	—	6	2	no	—
1106	C₂²	C₅×D₃×#41	1	2	yes	—
1107	C₂²	C₂⁴×C₅×D₃	1	1	yes	characteristic
1108	C₄	—	2	2	no	—
1109	C₄	—	2	2	no	—
1110	C₄	—	2	1	no	—
1111	C₄	—	2	2	no	—
1112	C₄	—	2	1	no	—
1113	C₄	—	2	2	no	—
1114	C₄	—	3	2	no	—
1115	C₄	—	3	2	no	—
1116	C₄	—	6	2	no	—
1117	C₄	—	6	2	no	—
1118	C₄	—	6	2	no	—
1119	C₄	—	6	1	no	—
1120	C₄	—	6	2	no	—
1121	C₄	—	6	2	no	—
1122	C₄	—	6	1	no	—
1123	C₃	C₅×#3455	1	1	yes	characteristic, complemented, Sylow
1124	C₂	—	2	2	no	—
1125	C₂	—	4	2	no	—
1126	C₂	—	4	2	no	—
1127	C₂	—	12	2	no	—
1128	C₂	C₂×C₅×D₃×#41	1	1	yes	characteristic
1129	C₂	C₅×#5966	1	1	yes	characteristic
1130	C₂	C₅×#5966	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×#538	C₂
socle	C₂²×C₃×C₅	C₂⁵
hypercenter	C₅×#538	D₃
hypocenter	C₃	C₅×#3455
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₅ ◁ C₅×#538

Complements

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

N	H ≅ G/N	type
1. C₃×C₅×#538	C₂	semidirect
2. C₅×#5706	C₂	semidirect
3. C₅×#5701	C₂	semidirect
4. C₅×#5680	C₂	semidirect
5. C₅×#5669	C₂	semidirect
6. C₅×#5662	C₂	semidirect
7. C₅×#5649	C₂	semidirect
8. C₅×#5645	C₂	semidirect
9. C₅×#5622	C₂	semidirect
10. C₅×#5615	C₂	semidirect
11. C₅×#5602	C₂	semidirect
12. C₅×#5600	C₂	semidirect
13. C₅×#5596	C₂	semidirect
14. C₅×#5593	C₂	semidirect
15. C₅×#5586	C₂	semidirect
16. C₅×#5564	C₂	semidirect
17. C₄×C₅×#237	C₂	semidirect
18. C₅×#5494	C₂	semidirect
19. C₂×C₅×#877	C₂	semidirect
34. C₅×#946	C₂²	semidirect
35. C₅×Q₈×Dic₃	C₂²	semidirect
36. C₅×#944	C₂²	semidirect
37. C₅×#940	C₂²	semidirect
46. C₅×#935	C₂²	semidirect
50. C₅×D₄×Dic₃	C₂²	semidirect
52. C₅×#929	C₂²	semidirect
54. C₄×C₅×#67	C₂²	semidirect
56. C₅×#924	C₂²	semidirect
61. C₂×C₄×C₅×Dic₃	C₂²	semidirect
62. C₅×#898	C₂²	semidirect
63. C₅×#896	C₂²	semidirect
64. C₅×#894	C₂²	semidirect
65. C₅×#893	C₂²	semidirect
66. C₅×#892	C₂²	semidirect
67. C₅×#890	C₂²	semidirect
68. C₅×#889	C₂²	semidirect
69. C₅×#889	C₂²	semidirect
70. C₅×#889	C₂²	semidirect
71. C₅×#888	C₂²	semidirect
72. C₅×#888	C₂²	semidirect
73. C₅×#887	C₂²	semidirect
74. C₅×#887	C₂²	semidirect
75. C₅×#887	C₂²	semidirect
79. C₅×#885	C₂²	semidirect
83. C₅×#883	C₂²	semidirect
87. C₅×#67⋊C₄	C₂²	semidirect
88. C₅×#67⋊C₄	C₂²	semidirect
92. C₅×#879	C₂²	semidirect
93. C₅×#879	C₂²	semidirect
97. C₅×#878	C₂²	semidirect
103. C₅×#877	C₂²	semidirect
104. C₅×#876	C₂²	semidirect
105. C₄²×C₅×D₃	C₂²	semidirect
106. C₅×#870	C₂²	semidirect
107. C₄×C₅×Dic₆	C₂²	semidirect
108. #86387	C₅	direct (N × H)
118. C₅×#538	D₃	semidirect
217. C₃×#538	C₂×C₅	semidirect
218. #5706	C₂×C₅	semidirect
219. #5701	C₂×C₅	semidirect
220. #5680	C₂×C₅	semidirect
221. #5669	C₂×C₅	semidirect
222. #5662	C₂×C₅	semidirect
223. #5649	C₂×C₅	semidirect
224. #5645	C₂×C₅	semidirect
225. #5622	C₂×C₅	semidirect
226. #5615	C₂×C₅	semidirect
227. #5602	C₂×C₅	semidirect
228. #5600	C₂×C₅	semidirect
229. #5596	C₂×C₅	semidirect
230. #5593	C₂×C₅	semidirect
231. #5586	C₂×C₅	semidirect
232. #5564	C₂×C₅	semidirect
233. C₄×#237	C₂×C₅	semidirect
234. #5494	C₂×C₅	semidirect
235. C₂×#877	C₂×C₅	semidirect
387. #946	C₂²×C₅	semidirect
388. Q₈×Dic₃	C₂²×C₅	semidirect
389. #944	C₂²×C₅	semidirect
390. #940	C₂²×C₅	semidirect
399. #935	C₂²×C₅	semidirect
403. D₄×Dic₃	C₂²×C₅	semidirect
405. #929	C₂²×C₅	semidirect
407. C₄×#67	C₂²×C₅	semidirect
409. #924	C₂²×C₅	semidirect
414. C₂×C₄×Dic₃	C₂²×C₅	semidirect
415. #898	C₂²×C₅	semidirect
416. #896	C₂²×C₅	semidirect
417. #894	C₂²×C₅	semidirect
418. #893	C₂²×C₅	semidirect
419. #892	C₂²×C₅	semidirect
420. #890	C₂²×C₅	semidirect
421. #889	C₂²×C₅	semidirect
422. #889	C₂²×C₅	semidirect
423. #889	C₂²×C₅	semidirect
424. #888	C₂²×C₅	semidirect
425. #888	C₂²×C₅	semidirect
426. #887	C₂²×C₅	semidirect
427. #887	C₂²×C₅	semidirect
428. #887	C₂²×C₅	semidirect
432. #885	C₂²×C₅	semidirect
436. #883	C₂²×C₅	semidirect
440. #67⋊C₄	C₂²×C₅	semidirect
441. #67⋊C₄	C₂²×C₅	semidirect
445. #879	C₂²×C₅	semidirect
446. #879	C₂²×C₅	semidirect
450. #878	C₂²×C₅	semidirect
456. #877	C₂²×C₅	semidirect
457. #876	C₂²×C₅	semidirect
458. C₄²×D₃	C₂²×C₅	semidirect
459. #870	C₂²×C₅	semidirect
460. C₄×Dic₆	C₂²×C₅	semidirect
559. #538	C₅×D₃	semidirect
999. C₃×C₅	#3455	semidirect
1093. C₅	#86387	direct (N × H)
1123. C₃	C₅×#3455	semidirect

Maximal subgroups

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

subgroup	index
C₃×C₅×#538	2
C₅×#5706	2
C₅×#5701	2
C₅×#5680	2
C₅×#5669	2
C₅×#5662	2
C₅×#5649	2
C₅×#5645	2
C₅×#5622	2
C₅×#5615	2
C₅×#5602	2
C₅×#5600	2
C₅×#5596	2
C₅×#5593	2
C₅×#5586	2
C₅×#5564	2
C₄×C₅×#237	2
C₅×#5494	2
C₂×C₅×#877	2
C₅×#3455	3
#86387	5

Subgroups — C5×#86387 #14481493

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#86387 #14481493