Subgroups — C₅×D₃×#529 #14479763

Order 1920.

2464 conjugacy classes of subgroups.

The subgroup lattice has 1352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₅×#529	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×#5706	C₂	1	2	yes	maximal, complemented
3	C₅×D₃×#126	C₂	1	2	yes	maximal, complemented
4	C₅×#5691	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×D₃×#125	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅×#5680	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅×D₃×#124	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅×D₃×#123	C₂	1	2	yes	maximal, complemented
9	C₅×#5649	C₂	1	2	yes	maximal, complemented
10	C₅×D₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅×#5624	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×D₃×#121	C₂	1	1	yes	maximal, characteristic
13	C₅×#5600	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#5580	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄×C₅×D₃×Q₈	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#5557	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄×C₅×D₃×D₄	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×C₅×D₃×D₄	C₂	1	2	yes	maximal, complemented
19	C₅×#5538	C₂	1	2	yes	maximal, complemented
20	C₅×#5528	C₂	1	2	yes	maximal, complemented
21	C₅×D₃×#117	C₂	1	2	yes	maximal, complemented
22	C₅×#5479	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄²×C₅×D₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₅×#529	—	3	1	no	maximal, Hall
25	C₂×C₅×D₃×Q₈	C₂²	1	1	yes	characteristic
26	C₂×C₅×D₃×D₄	C₂²	1	2	yes	—
27	C₂×C₅×D₃×D₄	C₂²	1	1	yes	characteristic
28	C₂²×C₄×C₅×D₃	C₂²	1	1	yes	characteristic
29	C₂²×C₄×C₅×D₃	C₂²	1	1	yes	characteristic
30	C₂²×C₄×C₅×D₃	C₂²	1	1	yes	characteristic
31	C₂²×C₄×C₅×D₃	C₂²	1	2	yes	—
32	C₃×C₅×#126	C₂²	1	2	yes	complemented
33	C₃×C₅×#125	C₂²	1	1	yes	characteristic, complemented
34	C₃×C₅×#124	C₂²	1	1	yes	characteristic, complemented
35	C₃×C₅×#123	C₂²	1	2	yes	complemented
36	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
37	C₃×C₅×#121	C₂²	1	1	yes	characteristic
38	C₃×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
39	C₃×C₄×C₅×D₄	C₂²	1	2	yes	complemented
40	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
41	C₃×C₅×#117	C₂²	1	2	yes	complemented
42	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic, complemented
43	C₅×#947	C₂²	1	1	yes	characteristic, complemented
44	C₅×#946	C₂²	1	1	yes	characteristic, complemented
45	C₅×Q₈×Dic₃	C₂²	1	1	yes	characteristic, complemented
46	C₅×#939	C₂²	1	2	yes	—
47	C₅×#938	C₂²	1	1	yes	characteristic
48	C₅×#936	C₂²	1	1	yes	characteristic, complemented
49	C₅×#935	C₂²	1	2	yes	complemented
50	C₅×D₄×Dic₃	C₂²	1	2	yes	complemented
51	C₅×D₄×Dic₃	C₂²	1	1	yes	characteristic, complemented
52	C₅×#930	C₂²	1	1	yes	characteristic
53	C₅×#929	C₂²	1	2	yes	complemented
54	C₄×C₅×#67	C₂²	1	2	yes	complemented
55	C₄×C₅×#67	C₂²	1	2	yes	complemented
56	C₄×C₅×#67	C₂²	1	2	yes	complemented
57	C₅×#926	C₂²	1	2	yes	complemented
58	C₅×#924	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic, complemented
62	C₅×#898	C₂²	1	2	yes	complemented
63	C₅×#898	C₂²	1	2	yes	complemented
64	C₅×#898	C₂²	1	2	yes	complemented
65	C₅×#897	C₂²	1	1	yes	characteristic, complemented
66	C₅×#896	C₂²	1	2	yes	complemented
67	C₅×#895	C₂²	1	1	yes	characteristic
68	C₅×#894	C₂²	1	2	yes	complemented
69	C₅×#894	C₂²	1	2	yes	complemented
70	C₅×#893	C₂²	1	2	yes	complemented
71	C₅×#893	C₂²	1	1	yes	characteristic, complemented
72	C₅×#892	C₂²	1	2	yes	complemented
73	C₅×#892	C₂²	1	2	yes	complemented
74	C₅×D₃×C₄⋊C₄	C₂²	1	2	yes	—
75	C₅×D₃×C₄⋊C₄	C₂²	1	2	yes	—
76	C₅×D₃×C₄⋊C₄	C₂²	1	2	yes	—
77	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
78	C₅×D₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
79	C₅×D₃×C₄⋊C₄	C₂²	1	2	yes	—
80	C₅×#890	C₂²	1	1	yes	characteristic, complemented
81	C₅×#890	C₂²	1	1	yes	characteristic, complemented
82	C₅×#889	C₂²	1	2	yes	complemented
83	C₅×#889	C₂²	1	2	yes	complemented
84	C₅×#887	C₂²	1	2	yes	complemented
85	C₅×#887	C₂²	1	1	yes	characteristic, complemented
86	C₅×#886	C₂²	1	2	yes	complemented
87	C₅×#885	C₂²	1	2	yes	complemented
88	C₅×#885	C₂²	1	2	yes	complemented
89	C₅×#884	C₂²	1	2	yes	—
90	C₅×#883	C₂²	1	2	yes	complemented
91	C₅×#883	C₂²	1	2	yes	complemented
92	C₅×#67⋊C₄	C₂²	1	2	yes	complemented
93	C₅×#67⋊C₄	C₂²	1	2	yes	complemented
94	C₅×#67⋊C₄	C₂²	1	2	yes	complemented
95	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
96	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
97	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
98	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
99	C₅×D₃×C₂²⋊C₄	C₂²	1	2	yes	—
100	C₅×#879	C₂²	1	2	yes	complemented
101	C₅×#879	C₂²	1	2	yes	complemented
102	C₅×#879	C₂²	1	2	yes	complemented
103	C₅×#878	C₂²	1	2	yes	complemented
104	C₅×#877	C₂²	1	2	yes	complemented
105	C₅×#877	C₂²	1	2	yes	complemented
106	C₅×#876	C₂²	1	2	yes	complemented
107	C₅×#875	C₂²	1	1	yes	characteristic, complemented
108	C₄×C₅×D₁₂	C₂²	1	1	yes	characteristic, complemented
109	C₄×C₅×D₁₂	C₂²	1	2	yes	complemented
110	C₅×#872	C₂²	1	2	yes	complemented
111	C₅×#872	C₂²	1	2	yes	complemented
112	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic
113	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic
114	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic
115	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic
116	C₄²×C₅×D₃	C₂²	1	2	yes	—
117	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic, complemented
118	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic, complemented
119	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic, complemented
120	C₄²×C₅×D₃	C₂²	1	1	yes	characteristic, complemented
121	C₅×#870	C₂²	1	1	yes	characteristic, complemented
122	C₄×C₅×Dic₆	C₂²	1	1	yes	characteristic, complemented
123	C₄×C₅×Dic₆	C₂²	1	2	yes	complemented
124	D₃×#529	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
125	C₅×#529	—	3	2	no	—
126	C₅×#529	—	3	1	no	—
127	C₅×#529	—	3	1	no	—
128	C₅×#529	—	3	2	no	—
129	C₅×#529	—	3	1	no	—
130	C₅×#529	—	3	1	no	—
131	C₅×#529	—	3	1	no	—
132	C₅×#529	—	3	2	no	—
133	C₅×#529	—	3	1	no	—
134	C₅×#529	—	3	2	no	—
135	C₅×#529	—	3	1	no	—
136	C₅×#529	D₃	1	1	yes	characteristic, direct product factor
137	C₂×C₅×#126	—	3	2	no	—
138	C₂×C₅×#125	—	3	1	no	—
139	C₂×C₅×#124	—	3	1	no	—
140	C₂×C₅×#123	—	3	2	no	—
141	C₂×C₅×C₂²⋊Q₈	—	3	1	no	—
142	C₂×C₅×#121	—	3	1	no	—
143	C₂×C₄×C₅×Q₈	—	3	1	no	—
144	C₂×C₄×C₅×D₄	—	3	1	no	—
145	C₂×C₄×C₅×D₄	—	3	2	no	—
146	C₂×C₅×#117	—	3	2	no	—
147	C₂²×C₄²×C₅	—	3	1	no	—
148	C₂³×C₅×D₃	C₂³	1	2	yes	—
149	C₂³×C₅×D₃	C₂³	1	1	yes	characteristic
150	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic
151	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
152	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
153	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
154	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
155	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
156	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
157	C₂×C₅×#67	C₂³	1	2	yes	—
158	C₂×C₅×#67	C₂³	1	2	yes	—
159	C₂×C₅×#67	C₂³	1	2	yes	—
160	C₂²×C₅×Dic₃	C₂³	1	2	yes	—
161	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
162	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
163	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
164	C₅×D₃×Q₈	—	2	4	no	—
165	C₅×D₃×D₄	—	2	8	no	—
166	C₅×D₃×D₄	—	2	4	no	—
167	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
168	C₂×C₅×D₁₂	C₂³	1	2	yes	—
169	C₂×C₄×C₅×D₃	—	2	4	no	—
170	C₂×C₄×C₅×D₃	—	2	4	no	—
171	C₂×C₄×C₅×D₃	—	2	8	no	—
172	C₂×C₄×C₅×D₃	—	2	4	no	—
173	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
174	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
175	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
176	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
177	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
178	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
179	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
180	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
181	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
182	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
183	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
184	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
185	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
186	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
187	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
188	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
189	C₂×C₄×C₅×D₃	C₂³	1	1	yes	characteristic
190	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
191	C₂×C₅×Dic₆	C₂³	1	2	yes	—
192	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
193	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
194	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
195	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
196	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
198	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
199	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
200	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
201	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
202	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
203	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
204	C₃×C₄²×C₅	C₂³	1	2	yes	—
205	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
206	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
207	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
208	C₅×#217	C₂³	1	2	yes	—
209	C₅×#217	C₂³	1	2	yes	—
210	C₅×#217	C₂³	1	2	yes	—
211	C₅×#217	C₂³	1	2	yes	—
212	C₅×#217	C₂³	1	2	yes	—
213	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
214	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
215	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
216	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
217	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
218	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
219	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
220	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
221	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
222	C₅×(C₂×D₃)⋊C₄	C₂³	1	2	yes	—
223	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
224	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
225	C₅×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
226	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
227	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
228	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
229	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
230	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
231	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
232	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
233	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
234	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
235	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
236	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
237	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
238	C₅×Dic₃⋊C₄	C₂³	1	2	yes	—
239	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
240	C₄×C₅×Dic₃	C₂³	1	2	yes	—
241	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
242	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
243	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
244	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
245	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
246	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
247	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
248	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
249	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
250	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
251	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
252	C₄×C₅×Dic₃	C₂³	1	2	yes	—
253	C₄×C₅×Dic₃	C₂³	1	2	yes	—
254	C₃×#529	C₂×C₅	1	1	yes	characteristic, complemented
255	#5706	C₂×C₅	1	2	yes	complemented
256	D₃×#126	C₂×C₅	1	2	yes	complemented
257	#5691	C₂×C₅	1	1	yes	characteristic, complemented
258	D₃×#125	C₂×C₅	1	1	yes	characteristic, complemented
259	#5680	C₂×C₅	1	1	yes	characteristic, complemented
260	D₃×#124	C₂×C₅	1	1	yes	characteristic, complemented
261	D₃×#123	C₂×C₅	1	2	yes	complemented
262	#5649	C₂×C₅	1	2	yes	complemented
263	D₃×C₂²⋊Q₈	C₂×C₅	1	1	yes	characteristic, complemented
264	#5624	C₂×C₅	1	1	yes	characteristic, complemented
265	D₃×#121	C₂×C₅	1	1	yes	characteristic
266	#5600	C₂×C₅	1	1	yes	characteristic, complemented
267	#5580	C₂×C₅	1	1	yes	characteristic, complemented
268	C₄×D₃×Q₈	C₂×C₅	1	1	yes	characteristic, complemented
269	#5557	C₂×C₅	1	1	yes	characteristic, complemented
270	C₄×D₃×D₄	C₂×C₅	1	1	yes	characteristic, complemented
271	C₄×D₃×D₄	C₂×C₅	1	2	yes	complemented
272	#5538	C₂×C₅	1	2	yes	complemented
273	#5528	C₂×C₅	1	2	yes	complemented
274	D₃×#117	C₂×C₅	1	2	yes	complemented
275	#5479	C₂×C₅	1	1	yes	characteristic, complemented
276	C₂×C₄²×D₃	C₂×C₅	1	1	yes	characteristic, complemented
277	C₂²×C₅×Q₈	—	3	1	no	—
278	C₂²×C₅×D₄	—	3	2	no	—
279	C₂²×C₅×D₄	—	3	1	no	—
280	C₂³×C₄×C₅	—	3	1	no	—
281	C₂³×C₄×C₅	—	3	1	no	—
282	C₂³×C₄×C₅	—	3	1	no	—
283	C₂³×C₄×C₅	—	3	2	no	—
284	C₅×#126	—	3	2	no	—
285	C₅×#126	—	3	2	no	—
286	C₅×#126	—	3	2	no	—
287	C₅×#126	—	3	2	no	—
288	C₅×#126	—	3	2	no	—
289	C₅×#126	—	3	2	no	—
290	C₅×#126	—	3	2	no	—
291	C₅×#126	C₂×D₃	1	2	yes	complemented
292	C₅×#125	—	3	2	no	—
293	C₅×#125	—	3	2	no	—
294	C₅×#125	—	3	1	no	—
295	C₅×#125	—	3	1	no	—
296	C₅×#125	—	3	1	no	—
297	C₅×#125	C₂×D₃	1	1	yes	characteristic, complemented
298	C₅×#124	—	3	1	no	—
299	C₅×#124	—	3	1	no	—
300	C₅×#124	—	3	2	no	—
301	C₅×#124	—	3	2	no	—
302	C₅×#124	—	3	1	no	—
303	C₅×#124	C₂×D₃	1	1	yes	characteristic, complemented
304	C₅×#123	—	3	2	no	—
305	C₅×#123	—	3	2	no	—
306	C₅×#123	—	3	2	no	—
307	C₅×#123	—	3	2	no	—
308	C₅×#123	—	3	2	no	—
309	C₅×#123	—	3	2	no	—
310	C₅×#123	—	3	2	no	—
311	C₅×#123	C₂×D₃	1	2	yes	complemented
312	C₅×C₂²⋊Q₈	—	3	1	no	—
313	C₅×C₂²⋊Q₈	—	3	1	no	—
314	C₅×C₂²⋊Q₈	—	3	2	no	—
315	C₅×C₂²⋊Q₈	—	3	1	no	—
316	C₅×C₂²⋊Q₈	—	3	2	no	—
317	C₅×C₂²⋊Q₈	C₂×D₃	1	1	yes	characteristic, complemented
318	C₅×#121	—	3	1	no	—
319	C₅×#121	—	3	2	no	—
320	C₅×#121	—	3	1	no	—
321	C₅×#121	—	3	1	no	—
322	C₅×#121	—	3	2	no	—
323	C₅×#121	C₂×D₃	1	1	yes	characteristic
324	C₄×C₅×Q₈	—	3	1	no	—
325	C₄×C₅×Q₈	—	3	2	no	—
326	C₄×C₅×Q₈	—	3	1	no	—
327	C₄×C₅×Q₈	—	3	2	no	—
328	C₄×C₅×Q₈	—	3	1	no	—
329	C₄×C₅×Q₈	C₂×D₃	1	1	yes	characteristic, complemented
330	C₄×C₅×D₄	—	3	1	no	—
331	C₄×C₅×D₄	—	3	2	no	—
332	C₄×C₅×D₄	—	3	2	no	—
333	C₄×C₅×D₄	—	3	2	no	—
334	C₄×C₅×D₄	—	3	2	no	—
335	C₄×C₅×D₄	—	3	1	no	—
336	C₄×C₅×D₄	—	3	2	no	—
337	C₄×C₅×D₄	—	3	2	no	—
338	C₄×C₅×D₄	—	3	2	no	—
339	C₄×C₅×D₄	—	3	2	no	—
340	C₄×C₅×D₄	—	3	1	no	—
341	C₄×C₅×D₄	—	3	2	no	—
342	C₄×C₅×D₄	C₂×D₃	1	1	yes	characteristic, complemented
343	C₄×C₅×D₄	C₂×D₃	1	2	yes	complemented
344	C₅×#117	—	3	2	no	—
345	C₅×#117	—	3	2	no	—
346	C₅×#117	—	3	2	no	—
347	C₅×#117	—	3	2	no	—
348	C₅×#117	—	3	2	no	—
349	C₅×#117	—	3	2	no	—
350	C₅×#117	—	3	2	no	—
351	C₅×#117	C₂×D₃	1	2	yes	complemented
352	C₂×C₅×C₄⋊C₄	—	3	2	no	—
353	C₂×C₅×C₄⋊C₄	—	3	2	no	—
354	C₂×C₅×C₄⋊C₄	—	3	1	no	—
355	C₂×C₅×C₄⋊C₄	—	3	2	no	—
356	C₂×C₅×C₄⋊C₄	—	3	1	no	—
357	C₂×C₅×C₄⋊C₄	—	3	2	no	—
358	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
359	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
360	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
361	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
362	C₂×C₅×C₂²⋊C₄	—	3	2	no	—
363	C₂×C₄²×C₅	—	3	1	no	—
364	C₂×C₄²×C₅	—	3	1	no	—
365	C₂×C₄²×C₅	—	3	1	no	—
366	C₂×C₄²×C₅	—	3	1	no	—
367	C₂×C₄²×C₅	—	3	1	no	—
368	C₂×C₄²×C₅	—	3	1	no	—
369	C₂×C₄²×C₅	—	3	1	no	—
370	C₂×C₄²×C₅	—	3	2	no	—
371	C₂×C₄²×C₅	—	3	1	no	—
372	C₂×C₄²×C₅	—	3	1	no	—
373	C₂×C₄²×C₅	—	3	1	no	—
374	C₂×C₄²×C₅	—	3	1	no	—
375	C₂×C₄²×C₅	C₂×D₃	1	1	yes	characteristic, complemented
376	C₂×#529	—	3	1	no	Sylow
377	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
378	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
379	C₂²×C₅×D₃	—	2	2	no	—
380	C₂²×C₅×D₃	—	2	2	no	—
381	C₂²×C₅×D₃	—	2	4	no	—
382	C₂²×C₅×D₃	—	2	4	no	—
383	C₂²×C₅×D₃	—	2	4	no	—
384	C₂²×C₅×D₃	#41	1	4	yes	—
385	C₂²×C₅×D₃	C₂⁴	1	2	yes	—
386	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₅×D₃	C₂⁴	1	1	yes	characteristic
388	C₃×C₅×Q₈	—	2	2	no	—
389	C₃×C₅×D₄	—	2	4	no	—
390	C₃×C₅×D₄	—	2	2	no	—
391	C₂×C₃×C₄×C₅	—	2	2	no	—
392	C₂×C₃×C₄×C₅	—	2	2	no	—
393	C₂×C₃×C₄×C₅	—	2	2	no	—
394	C₂×C₃×C₄×C₅	—	2	4	no	—
395	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
396	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
397	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
398	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
399	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
400	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
401	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
402	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
403	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
404	C₅×#67	—	2	4	no	—
405	C₅×#67	—	2	4	no	—
406	C₅×#67	—	2	4	no	—
407	C₂×C₅×Dic₃	—	2	2	no	—
408	C₂×C₅×Dic₃	—	2	2	no	—
409	C₂×C₅×Dic₃	—	2	2	no	—
410	C₂×C₅×Dic₃	—	2	4	no	—
411	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
412	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
413	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
414	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
415	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
416	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
417	C₂×C₅×Dic₃	C₂⁴	1	2	yes	—
418	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
419	C₂×C₅×Dic₃	C₂⁴	1	1	yes	characteristic
420	C₅×D₁₂	—	2	4	no	—
421	C₅×D₁₂	—	2	2	no	—
422	C₄×C₅×D₃	—	2	2	no	—
423	C₄×C₅×D₃	—	2	2	no	—
424	C₄×C₅×D₃	—	2	2	no	—
425	C₄×C₅×D₃	—	2	2	no	—
426	C₄×C₅×D₃	—	2	2	no	—
427	C₄×C₅×D₃	—	2	2	no	—
428	C₄×C₅×D₃	—	2	4	no	—
429	C₄×C₅×D₃	—	2	4	no	—
430	C₄×C₅×D₃	—	2	4	no	—
431	C₄×C₅×D₃	—	2	2	no	—
432	C₄×C₅×D₃	—	2	2	no	—
433	C₄×C₅×D₃	—	2	4	no	—
434	C₄×C₅×D₃	—	2	2	no	—
435	C₄×C₅×D₃	—	2	2	no	—
436	C₄×C₅×D₃	—	2	4	no	—
437	C₄×C₅×D₃	#41	1	4	yes	—
438	C₄×C₅×D₃	#41	1	4	yes	—
439	C₅×Dic₆	—	2	2	no	—
440	C₅×Dic₆	—	2	4	no	—
441	C₂×D₃×Q₈	C₂²×C₅	1	1	yes	characteristic
442	C₂×D₃×D₄	C₂²×C₅	1	2	yes	—
443	C₂×D₃×D₄	C₂²×C₅	1	1	yes	characteristic
444	C₂²×C₄×D₃	C₂²×C₅	1	1	yes	characteristic
445	C₂²×C₄×D₃	C₂²×C₅	1	1	yes	characteristic
446	C₂²×C₄×D₃	C₂²×C₅	1	1	yes	characteristic
447	C₂²×C₄×D₃	C₂²×C₅	1	2	yes	—
448	C₃×#126	C₂²×C₅	1	2	yes	complemented
449	C₃×#125	C₂²×C₅	1	1	yes	characteristic, complemented
450	C₃×#124	C₂²×C₅	1	1	yes	characteristic, complemented
451	C₃×#123	C₂²×C₅	1	2	yes	complemented
452	C₃×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
453	C₃×#121	C₂²×C₅	1	1	yes	characteristic
454	C₃×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
455	C₃×C₄×D₄	C₂²×C₅	1	2	yes	complemented
456	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
457	C₃×#117	C₂²×C₅	1	2	yes	complemented
458	C₂×C₃×C₄²	C₂²×C₅	1	1	yes	characteristic, complemented
459	#947	C₂²×C₅	1	1	yes	characteristic, complemented
460	#946	C₂²×C₅	1	1	yes	characteristic, complemented
461	Q₈×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
462	#939	C₂²×C₅	1	2	yes	—
463	#938	C₂²×C₅	1	1	yes	characteristic
464	#936	C₂²×C₅	1	1	yes	characteristic, complemented
465	#935	C₂²×C₅	1	2	yes	complemented
466	D₄×Dic₃	C₂²×C₅	1	2	yes	complemented
467	D₄×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
468	#930	C₂²×C₅	1	1	yes	characteristic
469	#929	C₂²×C₅	1	2	yes	complemented
470	C₄×#67	C₂²×C₅	1	2	yes	complemented
471	C₄×#67	C₂²×C₅	1	2	yes	complemented
472	C₄×#67	C₂²×C₅	1	2	yes	complemented
473	#926	C₂²×C₅	1	2	yes	complemented
474	#924	C₂²×C₅	1	1	yes	characteristic, complemented
475	C₂×C₄×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
476	C₂×C₄×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
477	C₂×C₄×Dic₃	C₂²×C₅	1	1	yes	characteristic, complemented
478	#898	C₂²×C₅	1	2	yes	complemented
479	#898	C₂²×C₅	1	2	yes	complemented
480	#898	C₂²×C₅	1	2	yes	complemented
481	#897	C₂²×C₅	1	1	yes	characteristic, complemented
482	#896	C₂²×C₅	1	2	yes	complemented
483	#895	C₂²×C₅	1	1	yes	characteristic
484	#894	C₂²×C₅	1	2	yes	complemented
485	#894	C₂²×C₅	1	2	yes	complemented
486	#893	C₂²×C₅	1	2	yes	complemented
487	#893	C₂²×C₅	1	1	yes	characteristic, complemented
488	#892	C₂²×C₅	1	2	yes	complemented
489	#892	C₂²×C₅	1	2	yes	complemented
490	D₃×C₄⋊C₄	C₂²×C₅	1	2	yes	—
491	D₃×C₄⋊C₄	C₂²×C₅	1	2	yes	—
492	D₃×C₄⋊C₄	C₂²×C₅	1	2	yes	—
493	D₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
494	D₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
495	D₃×C₄⋊C₄	C₂²×C₅	1	2	yes	—
496	#890	C₂²×C₅	1	1	yes	characteristic, complemented
497	#890	C₂²×C₅	1	1	yes	characteristic, complemented
498	#889	C₂²×C₅	1	2	yes	complemented
499	#889	C₂²×C₅	1	2	yes	complemented
500	#887	C₂²×C₅	1	2	yes	complemented
501	#887	C₂²×C₅	1	1	yes	characteristic, complemented
502	#886	C₂²×C₅	1	2	yes	complemented
503	#885	C₂²×C₅	1	2	yes	complemented
504	#885	C₂²×C₅	1	2	yes	complemented
505	#884	C₂²×C₅	1	2	yes	—
506	#883	C₂²×C₅	1	2	yes	complemented
507	#883	C₂²×C₅	1	2	yes	complemented
508	#67⋊C₄	C₂²×C₅	1	2	yes	complemented
509	#67⋊C₄	C₂²×C₅	1	2	yes	complemented
510	#67⋊C₄	C₂²×C₅	1	2	yes	complemented
511	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
512	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
513	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
514	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
515	D₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
516	#879	C₂²×C₅	1	2	yes	complemented
517	#879	C₂²×C₅	1	2	yes	complemented
518	#879	C₂²×C₅	1	2	yes	complemented
519	#878	C₂²×C₅	1	2	yes	complemented
520	#877	C₂²×C₅	1	2	yes	complemented
521	#877	C₂²×C₅	1	2	yes	complemented
522	#876	C₂²×C₅	1	2	yes	complemented
523	#875	C₂²×C₅	1	1	yes	characteristic, complemented
524	C₄×D₁₂	C₂²×C₅	1	1	yes	characteristic, complemented
525	C₄×D₁₂	C₂²×C₅	1	2	yes	complemented
526	#872	C₂²×C₅	1	2	yes	complemented
527	#872	C₂²×C₅	1	2	yes	complemented
528	C₄²×D₃	C₂²×C₅	1	1	yes	characteristic
529	C₄²×D₃	C₂²×C₅	1	1	yes	characteristic
530	C₄²×D₃	C₂²×C₅	1	1	yes	characteristic
531	C₄²×D₃	C₂²×C₅	1	1	yes	characteristic
532	C₄²×D₃	C₂²×C₅	1	2	yes	—
533	C₄²×D₃	C₂²×C₅	1	1	yes	characteristic, complemented
534	C₄²×D₃	C₂²×C₅	1	1	yes	characteristic, complemented
535	C₄²×D₃	C₂²×C₅	1	1	yes	characteristic, complemented
536	C₄²×D₃	C₂²×C₅	1	1	yes	characteristic, complemented
537	#870	C₂²×C₅	1	1	yes	characteristic, complemented
538	C₄×Dic₆	C₂²×C₅	1	1	yes	characteristic, complemented
539	C₄×Dic₆	C₂²×C₅	1	2	yes	complemented
540	C₂⁴×C₅	—	3	1	no	—
541	C₂⁴×C₅	—	3	2	no	—
542	C₂×C₅×Q₈	—	3	2	no	—
543	C₂×C₅×Q₈	—	3	1	no	—
544	C₂×C₅×Q₈	—	6	4	no	—
545	C₂×C₅×Q₈	C₂²×D₃	1	1	yes	characteristic
546	C₂×C₅×D₄	—	3	2	no	—
547	C₂×C₅×D₄	—	3	2	no	—
548	C₂×C₅×D₄	—	3	2	no	—
549	C₂×C₅×D₄	—	3	2	no	—
550	C₂×C₅×D₄	—	3	1	no	—
551	C₂×C₅×D₄	—	6	4	no	—
552	C₂×C₅×D₄	—	6	8	no	—
553	C₂×C₅×D₄	C₂²×D₃	1	2	yes	—
554	C₂×C₅×D₄	C₂²×D₃	1	1	yes	characteristic
555	C₂²×C₄×C₅	—	3	1	no	—
556	C₂²×C₄×C₅	—	3	1	no	—
557	C₂²×C₄×C₅	—	3	1	no	—
558	C₂²×C₄×C₅	—	3	1	no	—
559	C₂²×C₄×C₅	—	3	1	no	—
560	C₂²×C₄×C₅	—	3	2	no	—
561	C₂²×C₄×C₅	—	3	1	no	—
562	C₂²×C₄×C₅	—	3	1	no	—
563	C₂²×C₄×C₅	—	3	1	no	—
564	C₂²×C₄×C₅	—	3	1	no	—
565	C₂²×C₄×C₅	—	3	1	no	—
566	C₂²×C₄×C₅	—	3	1	no	—
567	C₂²×C₄×C₅	—	3	1	no	—
568	C₂²×C₄×C₅	—	3	1	no	—
569	C₂²×C₄×C₅	—	3	1	no	—
570	C₂²×C₄×C₅	—	3	2	no	—
571	C₂²×C₄×C₅	—	3	2	no	—
572	C₂²×C₄×C₅	—	3	2	no	—
573	C₂²×C₄×C₅	—	3	2	no	—
574	C₂²×C₄×C₅	—	3	1	no	—
575	C₂²×C₄×C₅	—	3	2	no	—
576	C₂²×C₄×C₅	—	6	4	no	—
577	C₂²×C₄×C₅	—	6	8	no	—
578	C₂²×C₄×C₅	—	6	4	no	—
579	C₂²×C₄×C₅	—	6	4	no	—
580	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
581	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
582	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
583	C₂²×C₄×C₅	C₂²×D₃	1	2	yes	—
584	C₅×C₄⋊C₄	—	3	2	no	—
585	C₅×C₄⋊C₄	—	3	2	no	—
586	C₅×C₄⋊C₄	—	3	2	no	—
587	C₅×C₄⋊C₄	—	3	2	no	—
588	C₅×C₄⋊C₄	—	3	2	no	—
589	C₅×C₄⋊C₄	—	3	2	no	—
590	C₅×C₄⋊C₄	—	3	2	no	—
591	C₅×C₄⋊C₄	—	3	1	no	—
592	C₅×C₄⋊C₄	—	3	2	no	—
593	C₅×C₄⋊C₄	—	3	2	no	—
594	C₅×C₄⋊C₄	—	3	2	no	—
595	C₅×C₄⋊C₄	—	3	2	no	—
596	C₅×C₄⋊C₄	—	3	1	no	—
597	C₅×C₄⋊C₄	—	3	2	no	—
598	C₅×C₄⋊C₄	—	3	2	no	—
599	C₅×C₄⋊C₄	—	3	2	no	—
600	C₅×C₄⋊C₄	C₂²×D₃	1	2	yes	—
601	C₅×C₄⋊C₄	C₂²×D₃	1	2	yes	—
602	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
603	C₅×C₄⋊C₄	C₂²×D₃	1	2	yes	—
604	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
605	C₅×C₄⋊C₄	C₂²×D₃	1	2	yes	—
606	C₅×C₂²⋊C₄	—	3	2	no	—
607	C₅×C₂²⋊C₄	—	3	2	no	—
608	C₅×C₂²⋊C₄	—	3	2	no	—
609	C₅×C₂²⋊C₄	—	3	2	no	—
610	C₅×C₂²⋊C₄	—	3	2	no	—
611	C₅×C₂²⋊C₄	—	3	2	no	—
612	C₅×C₂²⋊C₄	—	3	2	no	—
613	C₅×C₂²⋊C₄	—	3	2	no	—
614	C₅×C₂²⋊C₄	—	3	2	no	—
615	C₅×C₂²⋊C₄	—	3	2	no	—
616	C₅×C₂²⋊C₄	—	3	2	no	—
617	C₅×C₂²⋊C₄	—	3	2	no	—
618	C₅×C₂²⋊C₄	—	3	2	no	—
619	C₅×C₂²⋊C₄	—	3	2	no	—
620	C₅×C₂²⋊C₄	—	3	2	no	—
621	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
622	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
623	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
624	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
625	C₅×C₂²⋊C₄	C₂²×D₃	1	2	yes	—
626	C₄²×C₅	—	3	1	no	—
627	C₄²×C₅	—	3	1	no	—
628	C₄²×C₅	—	3	1	no	—
629	C₄²×C₅	—	3	1	no	—
630	C₄²×C₅	—	3	1	no	—
631	C₄²×C₅	—	3	1	no	—
632	C₄²×C₅	—	3	1	no	—
633	C₄²×C₅	—	3	1	no	—
634	C₄²×C₅	—	3	1	no	—
635	C₄²×C₅	—	3	1	no	—
636	C₄²×C₅	—	3	2	no	—
637	C₄²×C₅	—	3	2	no	—
638	C₄²×C₅	—	3	1	no	—
639	C₄²×C₅	—	3	1	no	—
640	C₄²×C₅	—	3	2	no	—
641	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
642	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
643	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
644	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
645	C₄²×C₅	C₂²×D₃	1	2	yes	—
646	#529	—	3	2	no	—
647	#529	—	3	1	no	—
648	#529	—	3	1	no	—
649	#529	—	3	2	no	—
650	#529	—	3	1	no	—
651	#529	—	3	1	no	—
652	#529	—	3	1	no	—
653	#529	—	3	2	no	—
654	#529	—	3	1	no	—
655	#529	—	3	2	no	—
656	#529	—	3	1	no	—
657	#529	C₅×D₃	1	1	yes	characteristic, direct product factor
658	C₂×#126	—	3	2	no	—
659	C₂×#125	—	3	1	no	—
660	C₂×#124	—	3	1	no	—
661	C₂×#123	—	3	2	no	—
662	C₂×C₂²⋊Q₈	—	3	1	no	—
663	C₂×#121	—	3	1	no	—
664	C₂×C₄×Q₈	—	3	1	no	—
665	C₂×C₄×D₄	—	3	2	no	—
666	C₂×C₄×D₄	—	3	1	no	—
667	C₂×#117	—	3	2	no	—
668	C₂²×C₄²	—	3	1	no	—
669	C₂²×C₃×C₅	—	2	1	no	—
670	C₂²×C₃×C₅	—	2	1	no	—
671	C₂²×C₃×C₅	—	2	2	no	—
672	C₂²×C₃×C₅	—	2	2	no	—
673	C₂²×C₃×C₅	—	2	2	no	—
674	C₂²×C₃×C₅	C₂×#41	1	2	yes	—
675	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
676	C₂×C₅×D₃	—	2	1	no	—
677	C₂×C₅×D₃	—	2	1	no	—
678	C₂×C₅×D₃	—	2	8	no	—
679	C₂×C₅×D₃	—	2	2	no	—
680	C₂×C₅×D₃	—	2	2	no	—
681	C₂×C₅×D₃	—	2	2	no	—
682	C₂×C₅×D₃	—	4	8	no	—
683	C₂×C₅×D₃	C₂×#41	1	2	yes	—
684	C₂×C₅×D₃	C₂×#41	1	2	yes	—
685	C₂×C₅×D₃	C₂×#41	1	2	yes	—
686	C₂×C₅×D₃	C₂×#41	1	2	yes	—
687	C₃×C₄×C₅	—	2	2	no	—
688	C₃×C₄×C₅	—	2	1	no	—
689	C₃×C₄×C₅	—	2	1	no	—
690	C₃×C₄×C₅	—	2	1	no	—
691	C₃×C₄×C₅	—	2	1	no	—
692	C₃×C₄×C₅	—	2	2	no	—
693	C₃×C₄×C₅	—	2	2	no	—
694	C₃×C₄×C₅	C₂×#41	1	2	yes	—
695	C₃×C₄×C₅	C₂×#41	1	2	yes	—
696	C₅×Dic₃	—	2	2	no	—
697	C₅×Dic₃	—	2	1	no	—
698	C₅×Dic₃	—	2	1	no	—
699	C₅×Dic₃	—	2	1	no	—
700	C₅×Dic₃	—	2	1	no	—
701	C₅×Dic₃	—	2	2	no	—
702	C₅×Dic₃	—	2	2	no	—
703	C₅×Dic₃	C₂×#41	1	2	yes	—
704	C₅×Dic₃	C₂×#41	1	2	yes	—
705	C₂³×D₃	C₂³×C₅	1	2	yes	—
706	C₂³×D₃	C₂³×C₅	1	1	yes	characteristic
707	C₂×C₃×Q₈	C₂³×C₅	1	1	yes	characteristic
708	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
709	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
710	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
711	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
712	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
713	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
714	C₂×#67	C₂³×C₅	1	2	yes	—
715	C₂×#67	C₂³×C₅	1	2	yes	—
716	C₂×#67	C₂³×C₅	1	2	yes	—
717	C₂²×Dic₃	C₂³×C₅	1	2	yes	—
718	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
719	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
720	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
721	D₃×Q₈	—	2	4	no	—
722	D₃×D₄	—	2	8	no	—
723	D₃×D₄	—	2	4	no	—
724	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic
725	C₂×D₁₂	C₂³×C₅	1	2	yes	—
726	C₂×C₄×D₃	—	2	4	no	—
727	C₂×C₄×D₃	—	2	4	no	—
728	C₂×C₄×D₃	—	2	8	no	—
729	C₂×C₄×D₃	—	2	4	no	—
730	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
731	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
732	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
733	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
734	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
735	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
736	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
737	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
738	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
739	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
740	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
741	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
742	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
743	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
744	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
745	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
746	C₂×C₄×D₃	C₂³×C₅	1	1	yes	characteristic
747	C₂×Dic₆	C₂³×C₅	1	1	yes	characteristic
748	C₂×Dic₆	C₂³×C₅	1	2	yes	—
749	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
750	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
751	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
752	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
753	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
754	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
755	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
756	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
757	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
758	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
759	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
760	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
761	C₃×C₄²	C₂³×C₅	1	2	yes	—
762	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
763	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
764	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
765	#217	C₂³×C₅	1	2	yes	—
766	#217	C₂³×C₅	1	2	yes	—
767	#217	C₂³×C₅	1	2	yes	—
768	#217	C₂³×C₅	1	2	yes	—
769	#217	C₂³×C₅	1	2	yes	—
770	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
771	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
772	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
773	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
774	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
775	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
776	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
777	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
778	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
779	(C₂×D₃)⋊C₄	C₂³×C₅	1	2	yes	—
780	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
781	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
782	C₄⋊Dic₃	C₂³×C₅	1	1	yes	characteristic
783	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
784	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
785	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
786	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
787	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
788	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
789	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
790	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
791	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
792	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
793	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
794	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
795	Dic₃⋊C₄	C₂³×C₅	1	2	yes	—
796	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
797	C₄×Dic₃	C₂³×C₅	1	2	yes	—
798	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
799	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
800	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
801	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
802	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
803	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
804	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
805	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
806	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
807	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
808	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
809	C₄×Dic₃	C₂³×C₅	1	2	yes	—
810	C₄×Dic₃	C₂³×C₅	1	2	yes	—
811	C₂³×C₅	—	3	1	no	—
812	C₂³×C₅	—	3	4	no	—
813	C₂³×C₅	—	3	1	no	—
814	C₂³×C₅	—	3	2	no	—
815	C₂³×C₅	—	6	2	no	—
816	C₂³×C₅	—	6	2	no	—
817	C₂³×C₅	—	6	4	no	—
818	C₂³×C₅	—	6	4	no	—
819	C₂³×C₅	—	6	4	no	—
820	C₂³×C₅	C₂³×D₃	1	2	yes	—
821	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
822	C₅×Q₈	—	2	2	no	—
823	C₅×Q₈	—	6	4	no	—
824	C₅×Q₈	—	6	2	no	—
825	C₅×D₄	—	2	4	no	—
826	C₅×D₄	—	2	2	no	—
827	C₅×D₄	—	6	4	no	—
828	C₅×D₄	—	6	4	no	—
829	C₅×D₄	—	6	4	no	—
830	C₅×D₄	—	6	4	no	—
831	C₅×D₄	—	6	2	no	—
832	C₂×C₄×C₅	—	2	2	no	—
833	C₂×C₄×C₅	—	2	2	no	—
834	C₂×C₄×C₅	—	2	4	no	—
835	C₂×C₄×C₅	—	2	2	no	—
836	C₂×C₄×C₅	—	3	1	no	—
837	C₂×C₄×C₅	—	3	1	no	—
838	C₂×C₄×C₅	—	3	4	no	—
839	C₂×C₄×C₅	—	3	4	no	—
840	C₂×C₄×C₅	—	3	1	no	—
841	C₂×C₄×C₅	—	3	1	no	—
842	C₂×C₄×C₅	—	3	1	no	—
843	C₂×C₄×C₅	—	3	1	no	—
844	C₂×C₄×C₅	—	3	2	no	—
845	C₂×C₄×C₅	—	3	2	no	—
846	C₂×C₄×C₅	—	3	2	no	—
847	C₂×C₄×C₅	—	6	2	no	—
848	C₂×C₄×C₅	—	6	4	no	—
849	C₂×C₄×C₅	—	6	2	no	—
850	C₂×C₄×C₅	—	6	2	no	—
851	C₂×C₄×C₅	—	6	2	no	—
852	C₂×C₄×C₅	—	6	4	no	—
853	C₂×C₄×C₅	—	6	2	no	—
854	C₂×C₄×C₅	—	6	2	no	—
855	C₂×C₄×C₅	—	6	2	no	—
856	C₂×C₄×C₅	—	6	2	no	—
857	C₂×C₄×C₅	—	6	4	no	—
858	C₂×C₄×C₅	—	6	4	no	—
859	C₂×C₄×C₅	—	6	2	no	—
860	C₂×C₄×C₅	—	6	4	no	—
861	C₂×C₄×C₅	—	6	2	no	—
862	C₂×C₄×C₅	—	6	2	no	—
863	C₂×C₄×C₅	—	6	2	no	—
864	C₂×C₄×C₅	—	6	4	no	—
865	C₂×C₄×C₅	—	6	2	no	—
866	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
867	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
868	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
869	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
870	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
871	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
872	C₂×C₄×C₅	C₂³×D₃	1	2	yes	—
873	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
874	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
875	C₂²×Q₈	—	3	1	no	—
876	C₂²×D₄	—	3	2	no	—
877	C₂²×D₄	—	3	1	no	—
878	C₂³×C₄	—	3	2	no	—
879	C₂³×C₄	—	3	1	no	—
880	C₂³×C₄	—	3	1	no	—
881	C₂³×C₄	—	3	1	no	—
882	#126	—	3	2	no	—
883	#126	—	3	2	no	—
884	#126	—	3	2	no	—
885	#126	—	3	2	no	—
886	#126	—	3	2	no	—
887	#126	—	3	2	no	—
888	#126	—	3	2	no	—
889	#126	C₂×C₅×D₃	1	2	yes	complemented
890	#125	—	3	2	no	—
891	#125	—	3	2	no	—
892	#125	—	3	1	no	—
893	#125	—	3	1	no	—
894	#125	—	3	1	no	—
895	#125	C₂×C₅×D₃	1	1	yes	characteristic, complemented
896	#124	—	3	1	no	—
897	#124	—	3	1	no	—
898	#124	—	3	2	no	—
899	#124	—	3	2	no	—
900	#124	—	3	1	no	—
901	#124	C₂×C₅×D₃	1	1	yes	characteristic, complemented
902	#123	—	3	2	no	—
903	#123	—	3	2	no	—
904	#123	—	3	2	no	—
905	#123	—	3	2	no	—
906	#123	—	3	2	no	—
907	#123	—	3	2	no	—
908	#123	—	3	2	no	—
909	#123	C₂×C₅×D₃	1	2	yes	complemented
910	C₂²⋊Q₈	—	3	1	no	—
911	C₂²⋊Q₈	—	3	1	no	—
912	C₂²⋊Q₈	—	3	2	no	—
913	C₂²⋊Q₈	—	3	1	no	—
914	C₂²⋊Q₈	—	3	2	no	—
915	C₂²⋊Q₈	C₂×C₅×D₃	1	1	yes	characteristic, complemented
916	#121	—	3	1	no	—
917	#121	—	3	2	no	—
918	#121	—	3	1	no	—
919	#121	—	3	1	no	—
920	#121	—	3	2	no	—
921	#121	C₂×C₅×D₃	1	1	yes	characteristic
922	C₄×Q₈	—	3	1	no	—
923	C₄×Q₈	—	3	2	no	—
924	C₄×Q₈	—	3	1	no	—
925	C₄×Q₈	—	3	2	no	—
926	C₄×Q₈	—	3	1	no	—
927	C₄×Q₈	C₂×C₅×D₃	1	1	yes	characteristic, complemented
928	C₄×D₄	—	3	1	no	—
929	C₄×D₄	—	3	2	no	—
930	C₄×D₄	—	3	2	no	—
931	C₄×D₄	—	3	2	no	—
932	C₄×D₄	—	3	2	no	—
933	C₄×D₄	—	3	1	no	—
934	C₄×D₄	—	3	2	no	—
935	C₄×D₄	—	3	2	no	—
936	C₄×D₄	—	3	2	no	—
937	C₄×D₄	—	3	2	no	—
938	C₄×D₄	—	3	1	no	—
939	C₄×D₄	—	3	2	no	—
940	C₄×D₄	C₂×C₅×D₃	1	1	yes	characteristic, complemented
941	C₄×D₄	C₂×C₅×D₃	1	2	yes	complemented
942	#117	—	3	2	no	—
943	#117	—	3	2	no	—
944	#117	—	3	2	no	—
945	#117	—	3	2	no	—
946	#117	—	3	2	no	—
947	#117	—	3	2	no	—
948	#117	—	3	2	no	—
949	#117	C₂×C₅×D₃	1	2	yes	complemented
950	C₂×C₄⋊C₄	—	3	2	no	—
951	C₂×C₄⋊C₄	—	3	2	no	—
952	C₂×C₄⋊C₄	—	3	1	no	—
953	C₂×C₄⋊C₄	—	3	2	no	—
954	C₂×C₄⋊C₄	—	3	1	no	—
955	C₂×C₄⋊C₄	—	3	2	no	—
956	C₂×C₂²⋊C₄	—	3	2	no	—
957	C₂×C₂²⋊C₄	—	3	2	no	—
958	C₂×C₂²⋊C₄	—	3	2	no	—
959	C₂×C₂²⋊C₄	—	3	2	no	—
960	C₂×C₂²⋊C₄	—	3	2	no	—
961	C₂×C₄²	—	3	1	no	—
962	C₂×C₄²	—	3	1	no	—
963	C₂×C₄²	—	3	1	no	—
964	C₂×C₄²	—	3	1	no	—
965	C₂×C₄²	—	3	2	no	—
966	C₂×C₄²	—	3	1	no	—
967	C₂×C₄²	—	3	1	no	—
968	C₂×C₄²	—	3	1	no	—
969	C₂×C₄²	—	3	1	no	—
970	C₂×C₄²	—	3	1	no	—
971	C₂×C₄²	—	3	1	no	—
972	C₂×C₄²	—	3	1	no	—
973	C₂×C₄²	C₂×C₅×D₃	1	1	yes	characteristic, complemented
974	C₂×C₃×C₅	—	2	2	no	—
975	C₂×C₃×C₅	—	4	2	no	—
976	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
977	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
978	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
979	C₅×D₃	—	2	2	no	—
980	C₅×D₃	—	4	2	no	—
981	C₅×D₃	#529	1	4	yes	direct product factor
982	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
983	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
984	C₂²×D₃	—	2	2	no	—
985	C₂²×D₃	—	2	2	no	—
986	C₂²×D₃	—	2	4	no	—
987	C₂²×D₃	—	2	4	no	—
988	C₂²×D₃	—	2	4	no	—
989	C₂²×D₃	C₅×#41	1	4	yes	—
990	C₂²×D₃	C₂⁴×C₅	1	2	yes	—
991	C₂²×D₃	C₂⁴×C₅	1	1	yes	characteristic
992	C₂²×D₃	C₂⁴×C₅	1	1	yes	characteristic
993	C₃×Q₈	—	2	2	no	—
994	C₃×D₄	—	2	4	no	—
995	C₃×D₄	—	2	2	no	—
996	C₂×C₃×C₄	—	2	2	no	—
997	C₂×C₃×C₄	—	2	2	no	—
998	C₂×C₃×C₄	—	2	2	no	—
999	C₂×C₃×C₄	—	2	4	no	—
1000	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1001	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1002	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1003	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1004	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
1005	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
1006	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
1007	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1008	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
1009	#67	—	2	4	no	—
1010	#67	—	2	4	no	—
1011	#67	—	2	4	no	—
1012	C₂×Dic₃	—	2	2	no	—
1013	C₂×Dic₃	—	2	2	no	—
1014	C₂×Dic₃	—	2	2	no	—
1015	C₂×Dic₃	—	2	4	no	—
1016	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1017	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1018	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1019	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1020	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
1021	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
1022	C₂×Dic₃	C₂⁴×C₅	1	2	yes	—
1023	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1024	C₂×Dic₃	C₂⁴×C₅	1	1	yes	characteristic
1025	D₁₂	—	2	4	no	—
1026	D₁₂	—	2	2	no	—
1027	C₄×D₃	—	2	2	no	—
1028	C₄×D₃	—	2	2	no	—
1029	C₄×D₃	—	2	2	no	—
1030	C₄×D₃	—	2	2	no	—
1031	C₄×D₃	—	2	2	no	—
1032	C₄×D₃	—	2	2	no	—
1033	C₄×D₃	—	2	4	no	—
1034	C₄×D₃	—	2	4	no	—
1035	C₄×D₃	—	2	4	no	—
1036	C₄×D₃	—	2	2	no	—
1037	C₄×D₃	—	2	2	no	—
1038	C₄×D₃	—	2	4	no	—
1039	C₄×D₃	—	2	2	no	—
1040	C₄×D₃	—	2	2	no	—
1041	C₄×D₃	—	2	4	no	—
1042	C₄×D₃	C₅×#41	1	4	yes	—
1043	C₄×D₃	C₅×#41	1	4	yes	—
1044	Dic₆	—	2	2	no	—
1045	Dic₆	—	2	4	no	—
1046	C₂²×C₅	—	2	1	no	—
1047	C₂²×C₅	—	2	1	no	—
1048	C₂²×C₅	—	2	2	no	—
1049	C₂²×C₅	—	2	2	no	—
1050	C₂²×C₅	—	2	2	no	—
1051	C₂²×C₅	—	3	2	no	—
1052	C₂²×C₅	—	3	2	no	—
1053	C₂²×C₅	—	3	2	no	—
1054	C₂²×C₅	—	3	2	no	—
1055	C₂²×C₅	—	6	8	no	—
1056	C₂²×C₅	—	6	1	no	—
1057	C₂²×C₅	—	6	1	no	—
1058	C₂²×C₅	—	6	2	no	—
1059	C₂²×C₅	—	6	2	no	—
1060	C₂²×C₅	—	6	2	no	—
1061	C₂²×C₅	—	12	8	no	—
1062	C₂²×C₅	D₃×#41	1	2	yes	—
1063	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
1064	C₄×C₅	—	2	1	no	—
1065	C₄×C₅	—	2	1	no	—
1066	C₄×C₅	—	2	1	no	—
1067	C₄×C₅	—	2	1	no	—
1068	C₄×C₅	—	2	2	no	—
1069	C₄×C₅	—	2	2	no	—
1070	C₄×C₅	—	2	2	no	—
1071	C₄×C₅	—	3	2	no	—
1072	C₄×C₅	—	3	2	no	—
1073	C₄×C₅	—	6	1	no	—
1074	C₄×C₅	—	6	1	no	—
1075	C₄×C₅	—	6	1	no	—
1076	C₄×C₅	—	6	1	no	—
1077	C₄×C₅	—	6	2	no	—
1078	C₄×C₅	—	6	2	no	—
1079	C₄×C₅	—	6	2	no	—
1080	C₄×C₅	D₃×#41	1	2	yes	—
1081	C₄×C₅	D₃×#41	1	2	yes	—
1082	C₂⁴	—	3	1	no	—
1083	C₂⁴	—	3	2	no	—
1084	C₂×Q₈	—	3	2	no	—
1085	C₂×Q₈	—	3	1	no	—
1086	C₂×Q₈	—	6	4	no	—
1087	C₂×Q₈	C₂²×C₅×D₃	1	1	yes	characteristic
1088	C₂×D₄	—	3	2	no	—
1089	C₂×D₄	—	3	2	no	—
1090	C₂×D₄	—	3	2	no	—
1091	C₂×D₄	—	3	2	no	—
1092	C₂×D₄	—	3	1	no	—
1093	C₂×D₄	—	6	4	no	—
1094	C₂×D₄	—	6	8	no	—
1095	C₂×D₄	C₂²×C₅×D₃	1	2	yes	—
1096	C₂×D₄	C₂²×C₅×D₃	1	1	yes	characteristic
1097	C₂²×C₄	—	3	1	no	—
1098	C₂²×C₄	—	3	1	no	—
1099	C₂²×C₄	—	3	1	no	—
1100	C₂²×C₄	—	3	1	no	—
1101	C₂²×C₄	—	3	1	no	—
1102	C₂²×C₄	—	3	2	no	—
1103	C₂²×C₄	—	3	1	no	—
1104	C₂²×C₄	—	3	1	no	—
1105	C₂²×C₄	—	3	1	no	—
1106	C₂²×C₄	—	3	1	no	—
1107	C₂²×C₄	—	3	1	no	—
1108	C₂²×C₄	—	3	1	no	—
1109	C₂²×C₄	—	3	1	no	—
1110	C₂²×C₄	—	3	1	no	—
1111	C₂²×C₄	—	3	1	no	—
1112	C₂²×C₄	—	3	1	no	—
1113	C₂²×C₄	—	3	2	no	—
1114	C₂²×C₄	—	3	2	no	—
1115	C₂²×C₄	—	3	2	no	—
1116	C₂²×C₄	—	3	2	no	—
1117	C₂²×C₄	—	3	2	no	—
1118	C₂²×C₄	—	6	4	no	—
1119	C₂²×C₄	—	6	8	no	—
1120	C₂²×C₄	—	6	4	no	—
1121	C₂²×C₄	—	6	4	no	—
1122	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1123	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1124	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1125	C₂²×C₄	C₂²×C₅×D₃	1	2	yes	—
1126	C₄⋊C₄	—	3	2	no	—
1127	C₄⋊C₄	—	3	2	no	—
1128	C₄⋊C₄	—	3	2	no	—
1129	C₄⋊C₄	—	3	2	no	—
1130	C₄⋊C₄	—	3	2	no	—
1131	C₄⋊C₄	—	3	2	no	—
1132	C₄⋊C₄	—	3	2	no	—
1133	C₄⋊C₄	—	3	1	no	—
1134	C₄⋊C₄	—	3	2	no	—
1135	C₄⋊C₄	—	3	2	no	—
1136	C₄⋊C₄	—	3	2	no	—
1137	C₄⋊C₄	—	3	2	no	—
1138	C₄⋊C₄	—	3	1	no	—
1139	C₄⋊C₄	—	3	2	no	—
1140	C₄⋊C₄	—	3	2	no	—
1141	C₄⋊C₄	—	3	2	no	—
1142	C₄⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1143	C₄⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1144	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1145	C₄⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1146	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
1147	C₄⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1148	C₂²⋊C₄	—	3	2	no	—
1149	C₂²⋊C₄	—	3	2	no	—
1150	C₂²⋊C₄	—	3	2	no	—
1151	C₂²⋊C₄	—	3	2	no	—
1152	C₂²⋊C₄	—	3	2	no	—
1153	C₂²⋊C₄	—	3	2	no	—
1154	C₂²⋊C₄	—	3	2	no	—
1155	C₂²⋊C₄	—	3	2	no	—
1156	C₂²⋊C₄	—	3	2	no	—
1157	C₂²⋊C₄	—	3	2	no	—
1158	C₂²⋊C₄	—	3	2	no	—
1159	C₂²⋊C₄	—	3	2	no	—
1160	C₂²⋊C₄	—	3	2	no	—
1161	C₂²⋊C₄	—	3	2	no	—
1162	C₂²⋊C₄	—	3	2	no	—
1163	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1164	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1165	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1166	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1167	C₂²⋊C₄	C₂²×C₅×D₃	1	2	yes	—
1168	C₄²	—	3	1	no	—
1169	C₄²	—	3	1	no	—
1170	C₄²	—	3	1	no	—
1171	C₄²	—	3	1	no	—
1172	C₄²	—	3	1	no	—
1173	C₄²	—	3	1	no	—
1174	C₄²	—	3	1	no	—
1175	C₄²	—	3	1	no	—
1176	C₄²	—	3	1	no	—
1177	C₄²	—	3	1	no	—
1178	C₄²	—	3	1	no	—
1179	C₄²	—	3	1	no	—
1180	C₄²	—	3	2	no	—
1181	C₄²	—	3	2	no	—
1182	C₄²	—	3	2	no	—
1183	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
1184	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
1185	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
1186	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
1187	C₄²	C₂²×C₅×D₃	1	2	yes	—
1188	C₃×C₅	C₂×#529	1	1	yes	characteristic, complemented, Hall
1189	C₂²×C₃	—	2	1	no	—
1190	C₂²×C₃	—	2	1	no	—
1191	C₂²×C₃	—	2	2	no	—
1192	C₂²×C₃	—	2	2	no	—
1193	C₂²×C₃	—	2	2	no	—
1194	C₂²×C₃	C₂×C₅×#41	1	2	yes	—
1195	C₂²×C₃	C₂⁵×C₅	1	1	yes	characteristic
1196	C₂×D₃	—	2	1	no	—
1197	C₂×D₃	—	2	1	no	—
1198	C₂×D₃	—	2	8	no	—
1199	C₂×D₃	—	2	2	no	—
1200	C₂×D₃	—	2	2	no	—
1201	C₂×D₃	—	2	2	no	—
1202	C₂×D₃	—	4	8	no	—
1203	C₂×D₃	C₂×C₅×#41	1	2	yes	—
1204	C₂×D₃	C₂×C₅×#41	1	2	yes	—
1205	C₂×D₃	C₂×C₅×#41	1	2	yes	—
1206	C₂×D₃	C₂×C₅×#41	1	2	yes	—
1207	C₃×C₄	—	2	2	no	—
1208	C₃×C₄	—	2	1	no	—
1209	C₃×C₄	—	2	1	no	—
1210	C₃×C₄	—	2	1	no	—
1211	C₃×C₄	—	2	1	no	—
1212	C₃×C₄	—	2	2	no	—
1213	C₃×C₄	—	2	2	no	—
1214	C₃×C₄	C₂×C₅×#41	1	2	yes	—
1215	C₃×C₄	C₂×C₅×#41	1	2	yes	—
1216	Dic₃	—	2	2	no	—
1217	Dic₃	—	2	1	no	—
1218	Dic₃	—	2	1	no	—
1219	Dic₃	—	2	1	no	—
1220	Dic₃	—	2	1	no	—
1221	Dic₃	—	2	2	no	—
1222	Dic₃	—	2	2	no	—
1223	Dic₃	C₂×C₅×#41	1	2	yes	—
1224	Dic₃	C₂×C₅×#41	1	2	yes	—
1225	C₂×C₅	—	2	2	no	—
1226	C₂×C₅	—	3	4	no	—
1227	C₂×C₅	—	4	2	no	—
1228	C₂×C₅	—	6	2	no	—
1229	C₂×C₅	—	12	2	no	—
1230	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1231	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1232	C₂×C₅	C₂×D₃×#41	1	1	yes	characteristic
1233	C₂³	—	3	1	no	—
1234	C₂³	—	3	4	no	—
1235	C₂³	—	3	1	no	—
1236	C₂³	—	3	2	no	—
1237	C₂³	—	6	2	no	—
1238	C₂³	—	6	2	no	—
1239	C₂³	—	6	4	no	—
1240	C₂³	—	6	4	no	—
1241	C₂³	—	6	4	no	—
1242	C₂³	C₂³×C₅×D₃	1	2	yes	—
1243	C₂³	C₂³×C₅×D₃	1	1	yes	characteristic
1244	Q₈	—	2	2	no	—
1245	Q₈	—	6	4	no	—
1246	Q₈	—	6	2	no	—
1247	D₄	—	2	4	no	—
1248	D₄	—	2	2	no	—
1249	D₄	—	6	4	no	—
1250	D₄	—	6	4	no	—
1251	D₄	—	6	4	no	—
1252	D₄	—	6	4	no	—
1253	D₄	—	6	2	no	—
1254	C₂×C₄	—	2	2	no	—
1255	C₂×C₄	—	2	2	no	—
1256	C₂×C₄	—	2	4	no	—
1257	C₂×C₄	—	2	2	no	—
1258	C₂×C₄	—	3	1	no	—
1259	C₂×C₄	—	3	1	no	—
1260	C₂×C₄	—	3	4	no	—
1261	C₂×C₄	—	3	4	no	—
1262	C₂×C₄	—	3	1	no	—
1263	C₂×C₄	—	3	1	no	—
1264	C₂×C₄	—	3	1	no	—
1265	C₂×C₄	—	3	1	no	—
1266	C₂×C₄	—	3	2	no	—
1267	C₂×C₄	—	3	2	no	—
1268	C₂×C₄	—	3	2	no	—
1269	C₂×C₄	—	6	2	no	—
1270	C₂×C₄	—	6	4	no	—
1271	C₂×C₄	—	6	2	no	—
1272	C₂×C₄	—	6	2	no	—
1273	C₂×C₄	—	6	2	no	—
1274	C₂×C₄	—	6	4	no	—
1275	C₂×C₄	—	6	2	no	—
1276	C₂×C₄	—	6	2	no	—
1277	C₂×C₄	—	6	2	no	—
1278	C₂×C₄	—	6	2	no	—
1279	C₂×C₄	—	6	4	no	—
1280	C₂×C₄	—	6	4	no	—
1281	C₂×C₄	—	6	2	no	—
1282	C₂×C₄	—	6	4	no	—
1283	C₂×C₄	—	6	2	no	—
1284	C₂×C₄	—	6	2	no	—
1285	C₂×C₄	—	6	2	no	—
1286	C₂×C₄	—	6	4	no	—
1287	C₂×C₄	—	6	2	no	—
1288	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1289	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1290	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1291	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1292	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
1293	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
1294	C₂×C₄	C₂³×C₅×D₃	1	2	yes	—
1295	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1296	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
1297	C₂×C₃	—	2	2	no	—
1298	C₂×C₃	—	4	2	no	—
1299	C₂×C₃	C₂²×C₅×#41	1	1	yes	characteristic
1300	C₂×C₃	C₂²×C₅×#41	1	1	yes	characteristic
1301	C₂×C₃	C₂²×C₅×#41	1	1	yes	characteristic
1302	D₃	—	2	2	no	—
1303	D₃	—	4	2	no	—
1304	D₃	C₅×#529	1	4	yes	direct product factor
1305	C₅	D₃×#529	1	1	yes	characteristic, direct product factor, Sylow
1306	C₂²	—	2	1	no	—
1307	C₂²	—	2	1	no	—
1308	C₂²	—	2	2	no	—
1309	C₂²	—	2	2	no	—
1310	C₂²	—	2	2	no	—
1311	C₂²	—	3	2	no	—
1312	C₂²	—	3	2	no	—
1313	C₂²	—	3	2	no	—
1314	C₂²	—	3	2	no	—
1315	C₂²	—	6	8	no	—
1316	C₂²	—	6	1	no	—
1317	C₂²	—	6	1	no	—
1318	C₂²	—	6	2	no	—
1319	C₂²	—	6	2	no	—
1320	C₂²	—	6	2	no	—
1321	C₂²	—	12	8	no	—
1322	C₂²	C₅×D₃×#41	1	2	yes	—
1323	C₂²	C₂⁴×C₅×D₃	1	1	yes	characteristic
1324	C₄	—	2	1	no	—
1325	C₄	—	2	1	no	—
1326	C₄	—	2	1	no	—
1327	C₄	—	2	1	no	—
1328	C₄	—	2	2	no	—
1329	C₄	—	2	2	no	—
1330	C₄	—	2	2	no	—
1331	C₄	—	3	2	no	—
1332	C₄	—	3	2	no	—
1333	C₄	—	6	1	no	—
1334	C₄	—	6	1	no	—
1335	C₄	—	6	1	no	—
1336	C₄	—	6	1	no	—
1337	C₄	—	6	2	no	—
1338	C₄	—	6	2	no	—
1339	C₄	—	6	2	no	—
1340	C₄	C₅×D₃×#41	1	2	yes	—
1341	C₄	C₅×D₃×#41	1	2	yes	—
1342	C₃	C₂×C₅×#529	1	1	yes	characteristic, complemented, Sylow
1343	C₂	—	2	2	no	—
1344	C₂	—	3	4	no	—
1345	C₂	—	4	2	no	—
1346	C₂	—	6	2	no	—
1347	C₂	—	12	2	no	—
1348	C₂	C₂×C₅×D₃×#41	1	1	yes	characteristic
1349	C₂	C₂×C₅×D₃×#41	1	1	yes	characteristic
1350	C₂	C₂×C₅×D₃×#41	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	C₃×C₅×#529	C₂
socle	C₂²×C₃×C₅	C₂⁵
prime radical	C₅×D₃×#121	C₂
hypercenter	C₅×#529	D₃
hypocenter	C₃	C₂×C₅×#529
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₄×C₅ ◁ C₅×#529

Complements

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

N	H ≅ G/N	type
1. C₃×C₅×#529	C₂	semidirect
2. C₅×#5706	C₂	semidirect
3. C₅×D₃×#126	C₂	semidirect
4. C₅×#5691	C₂	semidirect
5. C₅×D₃×#125	C₂	semidirect
6. C₅×#5680	C₂	semidirect
7. C₅×D₃×#124	C₂	semidirect
8. C₅×D₃×#123	C₂	semidirect
9. C₅×#5649	C₂	semidirect
10. C₅×D₃×C₂²⋊Q₈	C₂	semidirect
11. C₅×#5624	C₂	semidirect
13. C₅×#5600	C₂	semidirect
14. C₅×#5580	C₂	semidirect
15. C₄×C₅×D₃×Q₈	C₂	semidirect
16. C₅×#5557	C₂	semidirect
17. C₄×C₅×D₃×D₄	C₂	semidirect
18. C₄×C₅×D₃×D₄	C₂	semidirect
19. C₅×#5538	C₂	semidirect
20. C₅×#5528	C₂	semidirect
21. C₅×D₃×#117	C₂	semidirect
22. C₅×#5479	C₂	semidirect
23. C₂×C₄²×C₅×D₃	C₂	semidirect
32. C₃×C₅×#126	C₂²	semidirect
33. C₃×C₅×#125	C₂²	semidirect
34. C₃×C₅×#124	C₂²	semidirect
35. C₃×C₅×#123	C₂²	semidirect
36. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
38. C₃×C₄×C₅×Q₈	C₂²	semidirect
39. C₃×C₄×C₅×D₄	C₂²	semidirect
40. C₃×C₄×C₅×D₄	C₂²	semidirect
41. C₃×C₅×#117	C₂²	semidirect
42. C₂×C₃×C₄²×C₅	C₂²	semidirect
43. C₅×#947	C₂²	semidirect
44. C₅×#946	C₂²	semidirect
45. C₅×Q₈×Dic₃	C₂²	semidirect
48. C₅×#936	C₂²	semidirect
49. C₅×#935	C₂²	semidirect
50. C₅×D₄×Dic₃	C₂²	semidirect
51. C₅×D₄×Dic₃	C₂²	semidirect
53. C₅×#929	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. C₂×C₄×C₅×Dic₃	C₂²	semidirect
60. C₂×C₄×C₅×Dic₃	C₂²	semidirect
61. C₂×C₄×C₅×Dic₃	C₂²	semidirect
62. C₅×#898	C₂²	semidirect
63. C₅×#898	C₂²	semidirect
64. C₅×#898	C₂²	semidirect
65. C₅×#897	C₂²	semidirect
66. C₅×#896	C₂²	semidirect
68. C₅×#894	C₂²	semidirect
69. C₅×#894	C₂²	semidirect
70. C₅×#893	C₂²	semidirect
71. C₅×#893	C₂²	semidirect
72. C₅×#892	C₂²	semidirect
73. C₅×#892	C₂²	semidirect
80. C₅×#890	C₂²	semidirect
81. C₅×#890	C₂²	semidirect
82. C₅×#889	C₂²	semidirect
83. C₅×#889	C₂²	semidirect
84. C₅×#887	C₂²	semidirect
85. C₅×#887	C₂²	semidirect
86. C₅×#886	C₂²	semidirect
87. C₅×#885	C₂²	semidirect
88. C₅×#885	C₂²	semidirect
90. C₅×#883	C₂²	semidirect
91. C₅×#883	C₂²	semidirect
92. C₅×#67⋊C₄	C₂²	semidirect
93. C₅×#67⋊C₄	C₂²	semidirect
94. C₅×#67⋊C₄	C₂²	semidirect
100. C₅×#879	C₂²	semidirect
101. C₅×#879	C₂²	semidirect
102. C₅×#879	C₂²	semidirect
103. C₅×#878	C₂²	semidirect
104. C₅×#877	C₂²	semidirect
105. C₅×#877	C₂²	semidirect
106. C₅×#876	C₂²	semidirect
107. C₅×#875	C₂²	semidirect
108. C₄×C₅×D₁₂	C₂²	semidirect
109. C₄×C₅×D₁₂	C₂²	semidirect
110. C₅×#872	C₂²	semidirect
111. C₅×#872	C₂²	semidirect
117. C₄²×C₅×D₃	C₂²	semidirect
118. C₄²×C₅×D₃	C₂²	semidirect
119. C₄²×C₅×D₃	C₂²	semidirect
120. C₄²×C₅×D₃	C₂²	semidirect
121. C₅×#870	C₂²	semidirect
122. C₄×C₅×Dic₆	C₂²	semidirect
123. C₄×C₅×Dic₆	C₂²	semidirect
124. D₃×#529	C₅	direct (N × H)
136. C₅×#529	D₃	direct (N × H)
254. C₃×#529	C₂×C₅	semidirect
255. #5706	C₂×C₅	semidirect
256. D₃×#126	C₂×C₅	semidirect
257. #5691	C₂×C₅	semidirect
258. D₃×#125	C₂×C₅	semidirect
259. #5680	C₂×C₅	semidirect
260. D₃×#124	C₂×C₅	semidirect
261. D₃×#123	C₂×C₅	semidirect
262. #5649	C₂×C₅	semidirect
263. D₃×C₂²⋊Q₈	C₂×C₅	semidirect
264. #5624	C₂×C₅	semidirect
266. #5600	C₂×C₅	semidirect
267. #5580	C₂×C₅	semidirect
268. C₄×D₃×Q₈	C₂×C₅	semidirect
269. #5557	C₂×C₅	semidirect
270. C₄×D₃×D₄	C₂×C₅	semidirect
271. C₄×D₃×D₄	C₂×C₅	semidirect
272. #5538	C₂×C₅	semidirect
273. #5528	C₂×C₅	semidirect
274. D₃×#117	C₂×C₅	semidirect
275. #5479	C₂×C₅	semidirect
276. C₂×C₄²×D₃	C₂×C₅	semidirect
291. C₅×#126	C₂×D₃	semidirect
297. C₅×#125	C₂×D₃	semidirect
303. C₅×#124	C₂×D₃	semidirect
311. C₅×#123	C₂×D₃	semidirect
317. C₅×C₂²⋊Q₈	C₂×D₃	semidirect
329. C₄×C₅×Q₈	C₂×D₃	semidirect
342. C₄×C₅×D₄	C₂×D₃	semidirect
343. C₄×C₅×D₄	C₂×D₃	semidirect
351. C₅×#117	C₂×D₃	semidirect
375. C₂×C₄²×C₅	C₂×D₃	semidirect
448. C₃×#126	C₂²×C₅	semidirect
449. C₃×#125	C₂²×C₅	semidirect
450. C₃×#124	C₂²×C₅	semidirect
451. C₃×#123	C₂²×C₅	semidirect
452. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
454. C₃×C₄×Q₈	C₂²×C₅	semidirect
455. C₃×C₄×D₄	C₂²×C₅	semidirect
456. C₃×C₄×D₄	C₂²×C₅	semidirect
457. C₃×#117	C₂²×C₅	semidirect
458. C₂×C₃×C₄²	C₂²×C₅	semidirect
459. #947	C₂²×C₅	semidirect
460. #946	C₂²×C₅	semidirect
461. Q₈×Dic₃	C₂²×C₅	semidirect
464. #936	C₂²×C₅	semidirect
465. #935	C₂²×C₅	semidirect
466. D₄×Dic₃	C₂²×C₅	semidirect
467. D₄×Dic₃	C₂²×C₅	semidirect
469. #929	C₂²×C₅	semidirect
470. C₄×#67	C₂²×C₅	semidirect
471. C₄×#67	C₂²×C₅	semidirect
472. C₄×#67	C₂²×C₅	semidirect
473. #926	C₂²×C₅	semidirect
474. #924	C₂²×C₅	semidirect
475. C₂×C₄×Dic₃	C₂²×C₅	semidirect
476. C₂×C₄×Dic₃	C₂²×C₅	semidirect
477. C₂×C₄×Dic₃	C₂²×C₅	semidirect
478. #898	C₂²×C₅	semidirect
479. #898	C₂²×C₅	semidirect
480. #898	C₂²×C₅	semidirect
481. #897	C₂²×C₅	semidirect
482. #896	C₂²×C₅	semidirect
484. #894	C₂²×C₅	semidirect
485. #894	C₂²×C₅	semidirect
486. #893	C₂²×C₅	semidirect
487. #893	C₂²×C₅	semidirect
488. #892	C₂²×C₅	semidirect
489. #892	C₂²×C₅	semidirect
496. #890	C₂²×C₅	semidirect
497. #890	C₂²×C₅	semidirect
498. #889	C₂²×C₅	semidirect
499. #889	C₂²×C₅	semidirect
500. #887	C₂²×C₅	semidirect
501. #887	C₂²×C₅	semidirect
502. #886	C₂²×C₅	semidirect
503. #885	C₂²×C₅	semidirect
504. #885	C₂²×C₅	semidirect
506. #883	C₂²×C₅	semidirect
507. #883	C₂²×C₅	semidirect
508. #67⋊C₄	C₂²×C₅	semidirect
509. #67⋊C₄	C₂²×C₅	semidirect
510. #67⋊C₄	C₂²×C₅	semidirect
516. #879	C₂²×C₅	semidirect
517. #879	C₂²×C₅	semidirect
518. #879	C₂²×C₅	semidirect
519. #878	C₂²×C₅	semidirect
520. #877	C₂²×C₅	semidirect
521. #877	C₂²×C₅	semidirect
522. #876	C₂²×C₅	semidirect
523. #875	C₂²×C₅	semidirect
524. C₄×D₁₂	C₂²×C₅	semidirect
525. C₄×D₁₂	C₂²×C₅	semidirect
526. #872	C₂²×C₅	semidirect
527. #872	C₂²×C₅	semidirect
533. C₄²×D₃	C₂²×C₅	semidirect
534. C₄²×D₃	C₂²×C₅	semidirect
535. C₄²×D₃	C₂²×C₅	semidirect
536. C₄²×D₃	C₂²×C₅	semidirect
537. #870	C₂²×C₅	semidirect
538. C₄×Dic₆	C₂²×C₅	semidirect
539. C₄×Dic₆	C₂²×C₅	semidirect
657. #529	C₅×D₃	direct (N × H)
889. #126	C₂×C₅×D₃	semidirect
895. #125	C₂×C₅×D₃	semidirect
901. #124	C₂×C₅×D₃	semidirect
909. #123	C₂×C₅×D₃	semidirect
915. C₂²⋊Q₈	C₂×C₅×D₃	semidirect
927. C₄×Q₈	C₂×C₅×D₃	semidirect
940. C₄×D₄	C₂×C₅×D₃	semidirect
941. C₄×D₄	C₂×C₅×D₃	semidirect
949. #117	C₂×C₅×D₃	semidirect
973. C₂×C₄²	C₂×C₅×D₃	semidirect
981. C₅×D₃	#529	direct (N × H)
1188. C₃×C₅	C₂×#529	semidirect
1304. D₃	C₅×#529	direct (N × H)
1305. C₅	D₃×#529	direct (N × H)
1342. C₃	C₂×C₅×#529	semidirect

Maximal subgroups

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

subgroup	index
C₃×C₅×#529	2
C₅×#5706	2
C₅×D₃×#126	2
C₅×#5691	2
C₅×D₃×#125	2
C₅×#5680	2
C₅×D₃×#124	2
C₅×D₃×#123	2
C₅×#5649	2
C₅×D₃×C₂²⋊Q₈	2
C₅×#5624	2
C₅×D₃×#121	2
C₅×#5600	2
C₅×#5580	2
C₄×C₅×D₃×Q₈	2
C₅×#5557	2
C₄×C₅×D₃×D₄	2
C₅×#5538	2
C₅×#5528	2
C₅×D₃×#117	2
C₅×#5479	2
C₂×C₄²×C₅×D₃	2
C₂×C₅×#529	3
D₃×#529	5

Subgroups — C5×D3×#529 #14479763

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×D₃×#529 #14479763