Subgroups — C₃×C₅×#3561 #14276595

Order 1920.

2064 conjugacy classes of subgroups.

The subgroup lattice has 824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₅×#563	C₂	1	2	yes	maximal, complemented
2	C₃×C₅×#562	C₂	1	2	yes	maximal, complemented
3	C₃×C₅×#556	C₂	1	2	yes	maximal, complemented
4	C₃×C₅×#551	C₂	1	4	yes	maximal, complemented
5	C₃×C₅×D₄×Q₈	C₂	1	2	yes	maximal, complemented
6	C₃×C₅×#548	C₂	1	2	yes	maximal, complemented
7	C₃×C₅×#546	C₂	1	2	yes	maximal, complemented
8	C₃×C₅×#543	C₂	1	2	yes	maximal, complemented
9	C₃×C₅×#542	C₂	1	2	yes	maximal, complemented
10	C₃×C₅×#542	C₂	1	4	yes	maximal, complemented
11	C₃×C₅×#538	C₂	1	2	yes	maximal, complemented
12	C₃×C₅×#536	C₂	1	2	yes	maximal, complemented
13	C₃×C₅×#533	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×C₅×#529	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₃×C₅×#124	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#3561	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
17	C₂×C₃×C₅×#41	C₂²	1	2	yes	—
18	C₂²×C₃×C₅×Q₈	C₂²	1	1	yes	characteristic
19	C₂²×C₃×C₅×Q₈	C₂²	1	2	yes	complemented
20	C₂²×C₃×C₅×D₄	C₂²	1	1	yes	characteristic
21	C₃×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
22	C₃×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
23	C₃×C₅×C₄⋊Q₈	C₂²	1	2	yes	complemented
24	C₃×C₅×C₄⋊Q₈	C₂²	1	4	yes	complemented
25	C₃×C₅×#126	C₂²	1	2	yes	complemented
26	C₃×C₅×#126	C₂²	1	4	yes	complemented
27	C₃×C₅×#126	C₂²	1	4	yes	complemented
28	C₃×C₅×#126	C₂²	1	4	yes	complemented
29	C₃×C₅×#125	C₂²	1	1	yes	characteristic, complemented
30	C₃×C₅×#125	C₂²	1	2	yes	complemented
31	C₃×C₅×#124	C₂²	1	2	yes	—
32	C₃×C₅×#124	C₂²	1	2	yes	—
33	C₃×C₅×#124	C₂²	1	2	yes	—
34	C₃×C₅×#124	C₂²	1	2	yes	—
35	C₃×C₅×#124	C₂²	1	2	yes	—
36	C₃×C₅×#124	C₂²	1	1	yes	characteristic, complemented
37	C₃×C₅×#124	C₂²	1	4	yes	complemented
38	C₃×C₅×#124	C₂²	1	4	yes	complemented
39	C₃×C₅×#123	C₂²	1	2	yes	—
40	C₃×C₅×#123	C₂²	1	4	yes	—
41	C₃×C₅×#123	C₂²	1	4	yes	complemented
42	C₃×C₅×#123	C₂²	1	4	yes	complemented
43	C₃×C₅×#123	C₂²	1	4	yes	complemented
44	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
45	C₃×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
46	C₃×C₅×C₂²⋊Q₈	C₂²	1	2	yes	—
47	C₃×C₅×C₂²⋊Q₈	C₂²	1	4	yes	—
48	C₃×C₅×C₂²⋊Q₈	C₂²	1	4	yes	complemented
49	C₃×C₅×C₂²⋊Q₈	C₂²	1	4	yes	complemented
50	C₃×C₅×C₂²⋊Q₈	C₂²	1	4	yes	complemented
51	C₃×C₅×C₂²⋊Q₈	C₂²	1	2	yes	complemented
52	C₃×C₅×C₂²⋊Q₈	C₂²	1	4	yes	complemented
53	C₃×C₅×C₂²⋊Q₈	C₂²	1	4	yes	complemented
54	C₃×C₅×C₂²⋊Q₈	C₂²	1	4	yes	complemented
55	C₃×C₅×#121	C₂²	1	1	yes	characteristic
56	C₃×C₅×#121	C₂²	1	2	yes	—
57	C₃×C₅×#121	C₂²	1	4	yes	—
58	C₃×C₅×#121	C₂²	1	4	yes	complemented
59	C₃×C₅×#120	C₂²	1	4	yes	—
60	C₃×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
61	C₃×C₄×C₅×Q₈	C₂²	1	2	yes	complemented
62	C₃×C₄×C₅×Q₈	C₂²	1	2	yes	complemented
63	C₃×C₄×C₅×Q₈	C₂²	1	2	yes	complemented
64	C₃×C₄×C₅×D₄	C₂²	1	2	yes	—
65	C₃×C₄×C₅×D₄	C₂²	1	4	yes	—
66	C₃×C₄×C₅×D₄	C₂²	1	2	yes	—
67	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
68	C₃×C₄×C₅×D₄	C₂²	1	4	yes	complemented
69	C₃×C₅×#117	C₂²	1	2	yes	—
70	C₃×C₅×#117	C₂²	1	2	yes	complemented
71	C₃×C₅×#117	C₂²	1	4	yes	complemented
72	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
73	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
74	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	4	yes	—
75	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic
76	C₃×#3561	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
77	C₅×#563	C₂×C₃	1	2	yes	complemented
78	C₅×#562	C₂×C₃	1	2	yes	complemented
79	C₅×#556	C₂×C₃	1	2	yes	complemented
80	C₅×#551	C₂×C₃	1	4	yes	complemented
81	C₅×D₄×Q₈	C₂×C₃	1	2	yes	complemented
82	C₅×#548	C₂×C₃	1	2	yes	complemented
83	C₅×#546	C₂×C₃	1	2	yes	complemented
84	C₅×#543	C₂×C₃	1	2	yes	complemented
85	C₅×#542	C₂×C₃	1	2	yes	complemented
86	C₅×#542	C₂×C₃	1	4	yes	complemented
87	C₅×#538	C₂×C₃	1	2	yes	complemented
88	C₅×#536	C₂×C₃	1	2	yes	complemented
89	C₅×#533	C₂×C₃	1	1	yes	characteristic, complemented
90	C₅×#529	C₂×C₃	1	1	yes	characteristic, complemented
91	C₂×C₅×#124	C₂×C₃	1	1	yes	characteristic, complemented
92	C₂⁴×C₃×C₅	C₂³	1	2	yes	—
93	C₃×C₅×#41	—	4	4	no	—
94	C₂×C₃×C₅×Q₈	—	4	2	no	—
95	C₂×C₃×C₅×Q₈	—	4	4	no	—
96	C₂×C₃×C₅×Q₈	C₂³	1	2	yes	—
97	C₂×C₃×C₅×Q₈	C₂³	1	2	yes	—
98	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic
99	C₂×C₃×C₅×Q₈	C₂³	1	2	yes	—
100	C₂×C₃×C₅×Q₈	C₂³	1	2	yes	—
101	C₂×C₃×C₅×Q₈	C₂³	1	4	yes	—
102	C₂×C₃×C₅×D₄	—	4	2	no	—
103	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
104	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
105	C₂×C₃×C₅×D₄	C₂³	1	4	yes	—
106	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
107	C₂×C₃×C₅×D₄	C₂³	1	4	yes	—
108	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
109	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
110	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
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	4	yes	—
115	C₂²×C₃×C₄×C₅	C₂³	1	4	yes	—
116	C₂²×C₃×C₄×C₅	C₂³	1	4	yes	—
117	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
118	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
119	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
120	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
121	C₃×C₅×C₄⋊C₄	C₂³	1	4	yes	—
122	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
123	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
124	C₃×C₅×C₄⋊C₄	C₂³	1	4	yes	—
125	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
126	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
127	C₃×C₅×C₄⋊C₄	C₂³	1	4	yes	—
128	C₃×C₅×C₄⋊C₄	C₂³	1	4	yes	—
129	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
130	C₃×C₅×C₄⋊C₄	C₂³	1	4	yes	—
131	C₃×C₅×C₄⋊C₄	C₂³	1	4	yes	—
132	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
133	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
134	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
135	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
136	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
137	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
138	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
139	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
140	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
141	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
142	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
143	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
144	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
145	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
146	C₃×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
147	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
148	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
149	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
150	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
151	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
152	C₃×C₄²×C₅	C₂³	1	4	yes	—
153	C₃×C₄²×C₅	C₂³	1	2	yes	—
154	C₃×C₄²×C₅	C₂³	1	4	yes	—
155	C₃×#563	C₂×C₅	1	2	yes	complemented
156	C₃×#562	C₂×C₅	1	2	yes	complemented
157	C₃×#556	C₂×C₅	1	2	yes	complemented
158	C₃×#551	C₂×C₅	1	4	yes	complemented
159	C₃×D₄×Q₈	C₂×C₅	1	2	yes	complemented
160	C₃×#548	C₂×C₅	1	2	yes	complemented
161	C₃×#546	C₂×C₅	1	2	yes	complemented
162	C₃×#543	C₂×C₅	1	2	yes	complemented
163	C₃×#542	C₂×C₅	1	2	yes	complemented
164	C₃×#542	C₂×C₅	1	4	yes	complemented
165	C₃×#538	C₂×C₅	1	2	yes	complemented
166	C₃×#536	C₂×C₅	1	2	yes	complemented
167	C₃×#533	C₂×C₅	1	1	yes	characteristic, complemented
168	C₃×#529	C₂×C₅	1	1	yes	characteristic, complemented
169	C₂×C₃×#124	C₂×C₅	1	1	yes	characteristic, complemented
170	C₂×C₅×#41	C₂²×C₃	1	2	yes	—
171	C₂²×C₅×Q₈	C₂²×C₃	1	1	yes	characteristic
172	C₂²×C₅×Q₈	C₂²×C₃	1	2	yes	complemented
173	C₂²×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
174	C₅×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
175	C₅×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
176	C₅×C₄⋊Q₈	C₂²×C₃	1	2	yes	complemented
177	C₅×C₄⋊Q₈	C₂²×C₃	1	4	yes	complemented
178	C₅×#126	C₂²×C₃	1	2	yes	complemented
179	C₅×#126	C₂²×C₃	1	4	yes	complemented
180	C₅×#126	C₂²×C₃	1	4	yes	complemented
181	C₅×#126	C₂²×C₃	1	4	yes	complemented
182	C₅×#125	C₂²×C₃	1	1	yes	characteristic, complemented
183	C₅×#125	C₂²×C₃	1	2	yes	complemented
184	C₅×#124	C₂²×C₃	1	2	yes	—
185	C₅×#124	C₂²×C₃	1	2	yes	—
186	C₅×#124	C₂²×C₃	1	2	yes	—
187	C₅×#124	C₂²×C₃	1	2	yes	—
188	C₅×#124	C₂²×C₃	1	2	yes	—
189	C₅×#124	C₂²×C₃	1	1	yes	characteristic, complemented
190	C₅×#124	C₂²×C₃	1	4	yes	complemented
191	C₅×#124	C₂²×C₃	1	4	yes	complemented
192	C₅×#123	C₂²×C₃	1	2	yes	—
193	C₅×#123	C₂²×C₃	1	4	yes	—
194	C₅×#123	C₂²×C₃	1	4	yes	complemented
195	C₅×#123	C₂²×C₃	1	4	yes	complemented
196	C₅×#123	C₂²×C₃	1	4	yes	complemented
197	C₅×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
198	C₅×C₂²⋊Q₈	C₂²×C₃	1	2	yes	—
199	C₅×C₂²⋊Q₈	C₂²×C₃	1	2	yes	—
200	C₅×C₂²⋊Q₈	C₂²×C₃	1	4	yes	—
201	C₅×C₂²⋊Q₈	C₂²×C₃	1	4	yes	complemented
202	C₅×C₂²⋊Q₈	C₂²×C₃	1	4	yes	complemented
203	C₅×C₂²⋊Q₈	C₂²×C₃	1	4	yes	complemented
204	C₅×C₂²⋊Q₈	C₂²×C₃	1	2	yes	complemented
205	C₅×C₂²⋊Q₈	C₂²×C₃	1	4	yes	complemented
206	C₅×C₂²⋊Q₈	C₂²×C₃	1	4	yes	complemented
207	C₅×C₂²⋊Q₈	C₂²×C₃	1	4	yes	complemented
208	C₅×#121	C₂²×C₃	1	1	yes	characteristic
209	C₅×#121	C₂²×C₃	1	2	yes	—
210	C₅×#121	C₂²×C₃	1	4	yes	—
211	C₅×#121	C₂²×C₃	1	4	yes	complemented
212	C₅×#120	C₂²×C₃	1	4	yes	—
213	C₄×C₅×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
214	C₄×C₅×Q₈	C₂²×C₃	1	2	yes	complemented
215	C₄×C₅×Q₈	C₂²×C₃	1	2	yes	complemented
216	C₄×C₅×Q₈	C₂²×C₃	1	2	yes	complemented
217	C₄×C₅×D₄	C₂²×C₃	1	2	yes	—
218	C₄×C₅×D₄	C₂²×C₃	1	4	yes	—
219	C₄×C₅×D₄	C₂²×C₃	1	2	yes	—
220	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
221	C₄×C₅×D₄	C₂²×C₃	1	4	yes	complemented
222	C₅×#117	C₂²×C₃	1	2	yes	—
223	C₅×#117	C₂²×C₃	1	2	yes	complemented
224	C₅×#117	C₂²×C₃	1	4	yes	complemented
225	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
226	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
227	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	4	yes	—
228	C₂×C₄²×C₅	C₂²×C₃	1	1	yes	characteristic
229	#3561	C₃×C₅	1	1	yes	characteristic, direct product factor, Sylow
230	C₂³×C₃×C₅	—	2	4	no	—
231	C₂³×C₃×C₅	—	4	2	no	—
232	C₂³×C₃×C₅	—	4	2	no	—
233	C₂³×C₃×C₅	C₂⁴	1	4	yes	—
234	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
235	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
236	C₃×C₅×Q₈	—	2	4	no	—
237	C₃×C₅×Q₈	—	2	4	no	—
238	C₃×C₅×Q₈	—	4	4	no	—
239	C₃×C₅×Q₈	—	4	2	no	—
240	C₃×C₅×Q₈	—	4	1	no	—
241	C₃×C₅×Q₈	—	4	2	no	—
242	C₃×C₅×D₄	—	2	4	no	—
243	C₃×C₅×D₄	—	2	4	no	—
244	C₃×C₅×D₄	—	4	2	no	—
245	C₃×C₅×D₄	—	4	4	no	—
246	C₃×C₅×D₄	—	4	1	no	—
247	C₃×C₅×D₄	—	4	4	no	—
248	C₂×C₃×C₄×C₅	—	2	2	no	—
249	C₂×C₃×C₄×C₅	—	2	2	no	—
250	C₂×C₃×C₄×C₅	—	2	4	no	—
251	C₂×C₃×C₄×C₅	—	4	4	no	—
252	C₂×C₃×C₄×C₅	—	4	1	no	—
253	C₂×C₃×C₄×C₅	—	4	4	no	—
254	C₂×C₃×C₄×C₅	—	4	2	no	—
255	C₂×C₃×C₄×C₅	—	4	4	no	—
256	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
257	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
258	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
259	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
260	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
261	C₂×C₃×C₄×C₅	C₂⁴	1	4	yes	—
262	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
263	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
264	C₂×C₃×C₄×C₅	C₂⁴	1	4	yes	—
265	C₂×C₃×C₄×C₅	C₂⁴	1	4	yes	—
266	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
267	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
268	C₂×C₃×#41	C₂²×C₅	1	2	yes	—
269	C₂²×C₃×Q₈	C₂²×C₅	1	1	yes	characteristic
270	C₂²×C₃×Q₈	C₂²×C₅	1	2	yes	complemented
271	C₂²×C₃×D₄	C₂²×C₅	1	1	yes	characteristic
272	C₃×C₄⋊Q₈	C₂²×C₅	1	4	yes	complemented
273	C₃×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
274	C₃×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
275	C₃×C₄⋊Q₈	C₂²×C₅	1	2	yes	complemented
276	C₃×#126	C₂²×C₅	1	4	yes	complemented
277	C₃×#126	C₂²×C₅	1	4	yes	complemented
278	C₃×#126	C₂²×C₅	1	2	yes	complemented
279	C₃×#126	C₂²×C₅	1	4	yes	complemented
280	C₃×#125	C₂²×C₅	1	2	yes	complemented
281	C₃×#125	C₂²×C₅	1	1	yes	characteristic, complemented
282	C₃×#124	C₂²×C₅	1	2	yes	—
283	C₃×#124	C₂²×C₅	1	2	yes	—
284	C₃×#124	C₂²×C₅	1	2	yes	—
285	C₃×#124	C₂²×C₅	1	2	yes	—
286	C₃×#124	C₂²×C₅	1	2	yes	—
287	C₃×#124	C₂²×C₅	1	1	yes	characteristic, complemented
288	C₃×#124	C₂²×C₅	1	4	yes	complemented
289	C₃×#124	C₂²×C₅	1	4	yes	complemented
290	C₃×#123	C₂²×C₅	1	4	yes	—
291	C₃×#123	C₂²×C₅	1	2	yes	—
292	C₃×#123	C₂²×C₅	1	4	yes	complemented
293	C₃×#123	C₂²×C₅	1	4	yes	complemented
294	C₃×#123	C₂²×C₅	1	4	yes	complemented
295	C₃×C₂²⋊Q₈	C₂²×C₅	1	1	yes	characteristic
296	C₃×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
297	C₃×C₂²⋊Q₈	C₂²×C₅	1	2	yes	—
298	C₃×C₂²⋊Q₈	C₂²×C₅	1	4	yes	—
299	C₃×C₂²⋊Q₈	C₂²×C₅	1	4	yes	complemented
300	C₃×C₂²⋊Q₈	C₂²×C₅	1	4	yes	complemented
301	C₃×C₂²⋊Q₈	C₂²×C₅	1	4	yes	complemented
302	C₃×C₂²⋊Q₈	C₂²×C₅	1	4	yes	complemented
303	C₃×C₂²⋊Q₈	C₂²×C₅	1	4	yes	complemented
304	C₃×C₂²⋊Q₈	C₂²×C₅	1	4	yes	complemented
305	C₃×C₂²⋊Q₈	C₂²×C₅	1	2	yes	complemented
306	C₃×#121	C₂²×C₅	1	4	yes	—
307	C₃×#121	C₂²×C₅	1	1	yes	characteristic
308	C₃×#121	C₂²×C₅	1	2	yes	—
309	C₃×#121	C₂²×C₅	1	4	yes	complemented
310	C₃×#120	C₂²×C₅	1	4	yes	—
311	C₃×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic, complemented
312	C₃×C₄×Q₈	C₂²×C₅	1	2	yes	complemented
313	C₃×C₄×Q₈	C₂²×C₅	1	2	yes	complemented
314	C₃×C₄×Q₈	C₂²×C₅	1	2	yes	complemented
315	C₃×C₄×D₄	C₂²×C₅	1	2	yes	—
316	C₃×C₄×D₄	C₂²×C₅	1	4	yes	—
317	C₃×C₄×D₄	C₂²×C₅	1	2	yes	—
318	C₃×C₄×D₄	C₂²×C₅	1	1	yes	characteristic, complemented
319	C₃×C₄×D₄	C₂²×C₅	1	4	yes	complemented
320	C₃×#117	C₂²×C₅	1	2	yes	—
321	C₃×#117	C₂²×C₅	1	2	yes	complemented
322	C₃×#117	C₂²×C₅	1	4	yes	complemented
323	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
324	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
325	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	4	yes	—
326	C₂×C₃×C₄²	C₂²×C₅	1	1	yes	characteristic
327	C₂⁴×C₅	C₂³×C₃	1	2	yes	—
328	C₅×#41	—	4	4	no	—
329	C₂×C₅×Q₈	—	4	2	no	—
330	C₂×C₅×Q₈	—	4	4	no	—
331	C₂×C₅×Q₈	C₂³×C₃	1	2	yes	—
332	C₂×C₅×Q₈	C₂³×C₃	1	2	yes	—
333	C₂×C₅×Q₈	C₂³×C₃	1	1	yes	characteristic
334	C₂×C₅×Q₈	C₂³×C₃	1	2	yes	—
335	C₂×C₅×Q₈	C₂³×C₃	1	4	yes	—
336	C₂×C₅×Q₈	C₂³×C₃	1	2	yes	—
337	C₂×C₅×D₄	—	4	2	no	—
338	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
339	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
340	C₂×C₅×D₄	C₂³×C₃	1	4	yes	—
341	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
342	C₂×C₅×D₄	C₂³×C₃	1	4	yes	—
343	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
344	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
345	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
346	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
347	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
348	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
349	C₂²×C₄×C₅	C₂³×C₃	1	4	yes	—
350	C₂²×C₄×C₅	C₂³×C₃	1	4	yes	—
351	C₂²×C₄×C₅	C₂³×C₃	1	4	yes	—
352	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
353	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
354	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
355	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
356	C₅×C₄⋊C₄	C₂³×C₃	1	4	yes	—
357	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
358	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
359	C₅×C₄⋊C₄	C₂³×C₃	1	4	yes	—
360	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
361	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
362	C₅×C₄⋊C₄	C₂³×C₃	1	4	yes	—
363	C₅×C₄⋊C₄	C₂³×C₃	1	4	yes	—
364	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
365	C₅×C₄⋊C₄	C₂³×C₃	1	4	yes	—
366	C₅×C₄⋊C₄	C₂³×C₃	1	4	yes	—
367	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
368	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
369	C₅×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
370	C₅×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
371	C₅×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
372	C₅×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
373	C₅×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
374	C₅×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
375	C₅×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
376	C₅×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
377	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
378	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
379	C₅×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
380	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
381	C₅×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
382	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
383	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
384	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
385	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
386	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
387	C₄²×C₅	C₂³×C₃	1	4	yes	—
388	C₄²×C₅	C₂³×C₃	1	2	yes	—
389	C₄²×C₅	C₂³×C₃	1	4	yes	—
390	#563	C₂×C₃×C₅	1	2	yes	complemented
391	#562	C₂×C₃×C₅	1	2	yes	complemented
392	#556	C₂×C₃×C₅	1	2	yes	complemented
393	#551	C₂×C₃×C₅	1	4	yes	complemented
394	D₄×Q₈	C₂×C₃×C₅	1	2	yes	complemented
395	#548	C₂×C₃×C₅	1	2	yes	complemented
396	#546	C₂×C₃×C₅	1	2	yes	complemented
397	#543	C₂×C₃×C₅	1	2	yes	complemented
398	#542	C₂×C₃×C₅	1	2	yes	complemented
399	#542	C₂×C₃×C₅	1	4	yes	complemented
400	#538	C₂×C₃×C₅	1	2	yes	complemented
401	#536	C₂×C₃×C₅	1	2	yes	complemented
402	#533	C₂×C₃×C₅	1	1	yes	characteristic, complemented
403	#529	C₂×C₃×C₅	1	1	yes	characteristic, complemented
404	C₂×#124	C₂×C₃×C₅	1	1	yes	characteristic, complemented
405	C₂²×C₃×C₅	—	2	1	no	—
406	C₂²×C₃×C₅	—	2	1	no	—
407	C₂²×C₃×C₅	—	2	2	no	—
408	C₂²×C₃×C₅	—	2	4	no	—
409	C₂²×C₃×C₅	—	2	2	no	—
410	C₂²×C₃×C₅	—	2	4	no	—
411	C₂²×C₃×C₅	—	2	4	no	—
412	C₂²×C₃×C₅	—	2	2	no	—
413	C₂²×C₃×C₅	—	8	4	no	—
414	C₂²×C₃×C₅	2₋¹⁺⁴	1	2	yes	—
415	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
416	C₃×C₄×C₅	—	2	2	no	—
417	C₃×C₄×C₅	—	2	1	no	—
418	C₃×C₄×C₅	—	2	4	no	—
419	C₃×C₄×C₅	—	2	4	no	—
420	C₃×C₄×C₅	—	2	1	no	—
421	C₃×C₄×C₅	—	2	1	no	—
422	C₃×C₄×C₅	—	2	2	no	—
423	C₃×C₄×C₅	—	2	2	no	—
424	C₃×C₄×C₅	—	2	4	no	—
425	C₃×C₄×C₅	—	2	1	no	—
426	C₃×C₄×C₅	—	2	1	no	—
427	C₃×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
428	C₂⁴×C₃	C₂³×C₅	1	2	yes	—
429	C₃×#41	—	4	4	no	—
430	C₂×C₃×Q₈	—	4	2	no	—
431	C₂×C₃×Q₈	—	4	4	no	—
432	C₂×C₃×Q₈	C₂³×C₅	1	2	yes	—
433	C₂×C₃×Q₈	C₂³×C₅	1	2	yes	—
434	C₂×C₃×Q₈	C₂³×C₅	1	1	yes	characteristic
435	C₂×C₃×Q₈	C₂³×C₅	1	2	yes	—
436	C₂×C₃×Q₈	C₂³×C₅	1	4	yes	—
437	C₂×C₃×Q₈	C₂³×C₅	1	2	yes	—
438	C₂×C₃×D₄	—	4	2	no	—
439	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
440	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
441	C₂×C₃×D₄	C₂³×C₅	1	4	yes	—
442	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
443	C₂×C₃×D₄	C₂³×C₅	1	4	yes	—
444	C₂×C₃×D₄	C₂³×C₅	1	2	yes	—
445	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
446	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
447	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
448	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
449	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
450	C₂²×C₃×C₄	C₂³×C₅	1	4	yes	—
451	C₂²×C₃×C₄	C₂³×C₅	1	4	yes	—
452	C₂²×C₃×C₄	C₂³×C₅	1	4	yes	—
453	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
454	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
455	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
456	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
457	C₃×C₄⋊C₄	C₂³×C₅	1	4	yes	—
458	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
459	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
460	C₃×C₄⋊C₄	C₂³×C₅	1	4	yes	—
461	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
462	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
463	C₃×C₄⋊C₄	C₂³×C₅	1	4	yes	—
464	C₃×C₄⋊C₄	C₂³×C₅	1	4	yes	—
465	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
466	C₃×C₄⋊C₄	C₂³×C₅	1	4	yes	—
467	C₃×C₄⋊C₄	C₂³×C₅	1	4	yes	—
468	C₃×C₄⋊C₄	C₂³×C₅	1	2	yes	—
469	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
470	C₃×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
471	C₃×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
472	C₃×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
473	C₃×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
474	C₃×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
475	C₃×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
476	C₃×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
477	C₃×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
478	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
479	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
480	C₃×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
481	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
482	C₃×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
483	C₃×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
484	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
485	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
486	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
487	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
488	C₃×C₄²	C₂³×C₅	1	4	yes	—
489	C₃×C₄²	C₂³×C₅	1	2	yes	—
490	C₃×C₄²	C₂³×C₅	1	4	yes	—
491	C₂³×C₅	—	2	4	no	—
492	C₂³×C₅	—	4	2	no	—
493	C₂³×C₅	—	4	2	no	—
494	C₂³×C₅	C₂⁴×C₃	1	4	yes	—
495	C₂³×C₅	C₂⁴×C₃	1	2	yes	—
496	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
497	C₅×Q₈	—	2	4	no	—
498	C₅×Q₈	—	2	4	no	—
499	C₅×Q₈	—	4	4	no	—
500	C₅×Q₈	—	4	2	no	—
501	C₅×Q₈	—	4	1	no	—
502	C₅×Q₈	—	4	2	no	—
503	C₅×D₄	—	2	4	no	—
504	C₅×D₄	—	2	4	no	—
505	C₅×D₄	—	4	2	no	—
506	C₅×D₄	—	4	4	no	—
507	C₅×D₄	—	4	1	no	—
508	C₅×D₄	—	4	4	no	—
509	C₂×C₄×C₅	—	2	2	no	—
510	C₂×C₄×C₅	—	2	2	no	—
511	C₂×C₄×C₅	—	2	4	no	—
512	C₂×C₄×C₅	—	4	4	no	—
513	C₂×C₄×C₅	—	4	1	no	—
514	C₂×C₄×C₅	—	4	4	no	—
515	C₂×C₄×C₅	—	4	2	no	—
516	C₂×C₄×C₅	—	4	4	no	—
517	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
518	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
519	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
520	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
521	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
522	C₂×C₄×C₅	C₂⁴×C₃	1	4	yes	—
523	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
524	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
525	C₂×C₄×C₅	C₂⁴×C₃	1	4	yes	—
526	C₂×C₄×C₅	C₂⁴×C₃	1	4	yes	—
527	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
528	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
529	C₂×#41	C₂²×C₃×C₅	1	2	yes	—
530	C₂²×Q₈	C₂²×C₃×C₅	1	1	yes	characteristic
531	C₂²×Q₈	C₂²×C₃×C₅	1	2	yes	complemented
532	C₂²×D₄	C₂²×C₃×C₅	1	1	yes	characteristic
533	C₄⋊Q₈	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
534	C₄⋊Q₈	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
535	C₄⋊Q₈	C₂²×C₃×C₅	1	2	yes	complemented
536	C₄⋊Q₈	C₂²×C₃×C₅	1	4	yes	complemented
537	#126	C₂²×C₃×C₅	1	2	yes	complemented
538	#126	C₂²×C₃×C₅	1	4	yes	complemented
539	#126	C₂²×C₃×C₅	1	4	yes	complemented
540	#126	C₂²×C₃×C₅	1	4	yes	complemented
541	#125	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
542	#125	C₂²×C₃×C₅	1	2	yes	complemented
543	#124	C₂²×C₃×C₅	1	2	yes	—
544	#124	C₂²×C₃×C₅	1	2	yes	—
545	#124	C₂²×C₃×C₅	1	2	yes	—
546	#124	C₂²×C₃×C₅	1	2	yes	—
547	#124	C₂²×C₃×C₅	1	2	yes	—
548	#124	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
549	#124	C₂²×C₃×C₅	1	4	yes	complemented
550	#124	C₂²×C₃×C₅	1	4	yes	complemented
551	#123	C₂²×C₃×C₅	1	2	yes	—
552	#123	C₂²×C₃×C₅	1	4	yes	—
553	#123	C₂²×C₃×C₅	1	4	yes	complemented
554	#123	C₂²×C₃×C₅	1	4	yes	complemented
555	#123	C₂²×C₃×C₅	1	4	yes	complemented
556	C₂²⋊Q₈	C₂²×C₃×C₅	1	1	yes	characteristic
557	C₂²⋊Q₈	C₂²×C₃×C₅	1	2	yes	—
558	C₂²⋊Q₈	C₂²×C₃×C₅	1	2	yes	—
559	C₂²⋊Q₈	C₂²×C₃×C₅	1	4	yes	—
560	C₂²⋊Q₈	C₂²×C₃×C₅	1	4	yes	complemented
561	C₂²⋊Q₈	C₂²×C₃×C₅	1	4	yes	complemented
562	C₂²⋊Q₈	C₂²×C₃×C₅	1	4	yes	complemented
563	C₂²⋊Q₈	C₂²×C₃×C₅	1	2	yes	complemented
564	C₂²⋊Q₈	C₂²×C₃×C₅	1	4	yes	complemented
565	C₂²⋊Q₈	C₂²×C₃×C₅	1	4	yes	complemented
566	C₂²⋊Q₈	C₂²×C₃×C₅	1	4	yes	complemented
567	#121	C₂²×C₃×C₅	1	1	yes	characteristic
568	#121	C₂²×C₃×C₅	1	2	yes	—
569	#121	C₂²×C₃×C₅	1	4	yes	—
570	#121	C₂²×C₃×C₅	1	4	yes	complemented
571	#120	C₂²×C₃×C₅	1	4	yes	—
572	C₄×Q₈	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
573	C₄×Q₈	C₂²×C₃×C₅	1	2	yes	complemented
574	C₄×Q₈	C₂²×C₃×C₅	1	2	yes	complemented
575	C₄×Q₈	C₂²×C₃×C₅	1	2	yes	complemented
576	C₄×D₄	C₂²×C₃×C₅	1	2	yes	—
577	C₄×D₄	C₂²×C₃×C₅	1	4	yes	—
578	C₄×D₄	C₂²×C₃×C₅	1	2	yes	—
579	C₄×D₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
580	C₄×D₄	C₂²×C₃×C₅	1	4	yes	complemented
581	#117	C₂²×C₃×C₅	1	2	yes	—
582	#117	C₂²×C₃×C₅	1	2	yes	complemented
583	#117	C₂²×C₃×C₅	1	4	yes	complemented
584	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	2	yes	—
585	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	2	yes	—
586	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	4	yes	—
587	C₂×C₄²	C₂²×C₃×C₅	1	1	yes	characteristic
588	C₂×C₃×C₅	—	2	2	no	—
589	C₂×C₃×C₅	—	4	2	no	—
590	C₂×C₃×C₅	—	4	4	no	—
591	C₂×C₃×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
592	C₂×C₃×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
593	C₂×C₃×C₅	#585	1	1	yes	characteristic
594	C₂³×C₃	—	2	4	no	—
595	C₂³×C₃	—	4	2	no	—
596	C₂³×C₃	—	4	2	no	—
597	C₂³×C₃	C₂⁴×C₅	1	4	yes	—
598	C₂³×C₃	C₂⁴×C₅	1	2	yes	—
599	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
600	C₃×Q₈	—	2	4	no	—
601	C₃×Q₈	—	2	4	no	—
602	C₃×Q₈	—	4	4	no	—
603	C₃×Q₈	—	4	2	no	—
604	C₃×Q₈	—	4	1	no	—
605	C₃×Q₈	—	4	2	no	—
606	C₃×D₄	—	2	4	no	—
607	C₃×D₄	—	2	4	no	—
608	C₃×D₄	—	4	2	no	—
609	C₃×D₄	—	4	4	no	—
610	C₃×D₄	—	4	1	no	—
611	C₃×D₄	—	4	4	no	—
612	C₂×C₃×C₄	—	2	2	no	—
613	C₂×C₃×C₄	—	2	2	no	—
614	C₂×C₃×C₄	—	2	4	no	—
615	C₂×C₃×C₄	—	4	4	no	—
616	C₂×C₃×C₄	—	4	1	no	—
617	C₂×C₃×C₄	—	4	4	no	—
618	C₂×C₃×C₄	—	4	2	no	—
619	C₂×C₃×C₄	—	4	4	no	—
620	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
621	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
622	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
623	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
624	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
625	C₂×C₃×C₄	C₂⁴×C₅	1	4	yes	—
626	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
627	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
628	C₂×C₃×C₄	C₂⁴×C₅	1	4	yes	—
629	C₂×C₃×C₄	C₂⁴×C₅	1	4	yes	—
630	C₂×C₃×C₄	C₂⁴×C₅	1	2	yes	—
631	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
632	C₂²×C₅	—	2	1	no	—
633	C₂²×C₅	—	2	1	no	—
634	C₂²×C₅	—	2	2	no	—
635	C₂²×C₅	—	2	4	no	—
636	C₂²×C₅	—	2	2	no	—
637	C₂²×C₅	—	2	4	no	—
638	C₂²×C₅	—	2	4	no	—
639	C₂²×C₅	—	2	2	no	—
640	C₂²×C₅	—	8	4	no	—
641	C₂²×C₅	C₃×2₋¹⁺⁴	1	2	yes	—
642	C₂²×C₅	C₂⁵×C₃	1	1	yes	characteristic
643	C₄×C₅	—	2	2	no	—
644	C₄×C₅	—	2	1	no	—
645	C₄×C₅	—	2	4	no	—
646	C₄×C₅	—	2	4	no	—
647	C₄×C₅	—	2	1	no	—
648	C₄×C₅	—	2	1	no	—
649	C₄×C₅	—	2	2	no	—
650	C₄×C₅	—	2	2	no	—
651	C₄×C₅	—	2	4	no	—
652	C₄×C₅	—	2	1	no	—
653	C₄×C₅	—	2	1	no	—
654	C₄×C₅	C₃×H(5,𝔽₂)	1	2	yes	—
655	C₂⁴	C₂³×C₃×C₅	1	2	yes	—
656	#41	—	4	4	no	—
657	C₂×Q₈	—	4	2	no	—
658	C₂×Q₈	—	4	4	no	—
659	C₂×Q₈	C₂³×C₃×C₅	1	2	yes	—
660	C₂×Q₈	C₂³×C₃×C₅	1	2	yes	—
661	C₂×Q₈	C₂³×C₃×C₅	1	1	yes	characteristic
662	C₂×Q₈	C₂³×C₃×C₅	1	2	yes	—
663	C₂×Q₈	C₂³×C₃×C₅	1	4	yes	—
664	C₂×Q₈	C₂³×C₃×C₅	1	2	yes	—
665	C₂×D₄	—	4	2	no	—
666	C₂×D₄	C₂³×C₃×C₅	1	2	yes	—
667	C₂×D₄	C₂³×C₃×C₅	1	2	yes	—
668	C₂×D₄	C₂³×C₃×C₅	1	4	yes	—
669	C₂×D₄	C₂³×C₃×C₅	1	1	yes	characteristic
670	C₂×D₄	C₂³×C₃×C₅	1	4	yes	—
671	C₂×D₄	C₂³×C₃×C₅	1	2	yes	—
672	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
673	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
674	C₂²×C₄	C₂³×C₃×C₅	1	2	yes	—
675	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
676	C₂²×C₄	C₂³×C₃×C₅	1	2	yes	—
677	C₂²×C₄	C₂³×C₃×C₅	1	4	yes	—
678	C₂²×C₄	C₂³×C₃×C₅	1	4	yes	—
679	C₂²×C₄	C₂³×C₃×C₅	1	4	yes	—
680	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
681	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
682	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
683	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
684	C₄⋊C₄	C₂³×C₃×C₅	1	4	yes	—
685	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
686	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
687	C₄⋊C₄	C₂³×C₃×C₅	1	4	yes	—
688	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
689	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
690	C₄⋊C₄	C₂³×C₃×C₅	1	4	yes	—
691	C₄⋊C₄	C₂³×C₃×C₅	1	4	yes	—
692	C₄⋊C₄	C₂³×C₃×C₅	1	1	yes	characteristic
693	C₄⋊C₄	C₂³×C₃×C₅	1	4	yes	—
694	C₄⋊C₄	C₂³×C₃×C₅	1	4	yes	—
695	C₄⋊C₄	C₂³×C₃×C₅	1	2	yes	—
696	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
697	C₂²⋊C₄	C₂³×C₃×C₅	1	4	yes	—
698	C₂²⋊C₄	C₂³×C₃×C₅	1	4	yes	—
699	C₂²⋊C₄	C₂³×C₃×C₅	1	4	yes	—
700	C₂²⋊C₄	C₂³×C₃×C₅	1	4	yes	—
701	C₂²⋊C₄	C₂³×C₃×C₅	1	4	yes	—
702	C₂²⋊C₄	C₂³×C₃×C₅	1	4	yes	—
703	C₂²⋊C₄	C₂³×C₃×C₅	1	4	yes	—
704	C₂²⋊C₄	C₂³×C₃×C₅	1	4	yes	—
705	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
706	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
707	C₂²⋊C₄	C₂³×C₃×C₅	1	4	yes	—
708	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
709	C₂²⋊C₄	C₂³×C₃×C₅	1	4	yes	—
710	C₂²⋊C₄	C₂³×C₃×C₅	1	2	yes	—
711	C₄²	C₂³×C₃×C₅	1	1	yes	characteristic
712	C₄²	C₂³×C₃×C₅	1	1	yes	characteristic
713	C₄²	C₂³×C₃×C₅	1	1	yes	characteristic
714	C₄²	C₂³×C₃×C₅	1	1	yes	characteristic
715	C₄²	C₂³×C₃×C₅	1	4	yes	—
716	C₄²	C₂³×C₃×C₅	1	2	yes	—
717	C₄²	C₂³×C₃×C₅	1	4	yes	—
718	C₃×C₅	#3561	1	1	yes	characteristic, direct product factor, Hall
719	C₂²×C₃	—	2	1	no	—
720	C₂²×C₃	—	2	1	no	—
721	C₂²×C₃	—	2	2	no	—
722	C₂²×C₃	—	2	4	no	—
723	C₂²×C₃	—	2	2	no	—
724	C₂²×C₃	—	2	4	no	—
725	C₂²×C₃	—	2	4	no	—
726	C₂²×C₃	—	2	2	no	—
727	C₂²×C₃	—	8	4	no	—
728	C₂²×C₃	C₅×2₋¹⁺⁴	1	2	yes	—
729	C₂²×C₃	C₂⁵×C₅	1	1	yes	characteristic
730	C₃×C₄	—	2	2	no	—
731	C₃×C₄	—	2	1	no	—
732	C₃×C₄	—	2	4	no	—
733	C₃×C₄	—	2	4	no	—
734	C₃×C₄	—	2	1	no	—
735	C₃×C₄	—	2	1	no	—
736	C₃×C₄	—	2	2	no	—
737	C₃×C₄	—	2	2	no	—
738	C₃×C₄	—	2	4	no	—
739	C₃×C₄	—	2	1	no	—
740	C₃×C₄	—	2	1	no	—
741	C₃×C₄	C₅×H(5,𝔽₂)	1	2	yes	—
742	C₂×C₅	—	2	2	no	—
743	C₂×C₅	—	4	4	no	—
744	C₂×C₅	—	4	2	no	—
745	C₂×C₅	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
746	C₂×C₅	C₂×C₃×2₋¹⁺⁴	1	1	yes	characteristic
747	C₂×C₅	C₃×#585	1	1	yes	characteristic
748	C₂³	—	2	4	no	—
749	C₂³	—	4	2	no	—
750	C₂³	—	4	2	no	—
751	C₂³	C₂⁴×C₃×C₅	1	4	yes	—
752	C₂³	C₂⁴×C₃×C₅	1	2	yes	—
753	C₂³	C₂⁴×C₃×C₅	1	1	yes	characteristic
754	Q₈	—	2	4	no	—
755	Q₈	—	2	4	no	—
756	Q₈	—	4	4	no	—
757	Q₈	—	4	2	no	—
758	Q₈	—	4	1	no	—
759	Q₈	—	4	2	no	—
760	D₄	—	2	4	no	—
761	D₄	—	2	4	no	—
762	D₄	—	4	2	no	—
763	D₄	—	4	4	no	—
764	D₄	—	4	4	no	—
765	D₄	—	4	1	no	—
766	C₂×C₄	—	2	2	no	—
767	C₂×C₄	—	2	2	no	—
768	C₂×C₄	—	2	4	no	—
769	C₂×C₄	—	4	4	no	—
770	C₂×C₄	—	4	2	no	—
771	C₂×C₄	—	4	4	no	—
772	C₂×C₄	—	4	4	no	—
773	C₂×C₄	—	4	1	no	—
774	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
775	C₂×C₄	C₂⁴×C₃×C₅	1	2	yes	—
776	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
777	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
778	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
779	C₂×C₄	C₂⁴×C₃×C₅	1	4	yes	—
780	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
781	C₂×C₄	C₂⁴×C₃×C₅	1	2	yes	—
782	C₂×C₄	C₂⁴×C₃×C₅	1	4	yes	—
783	C₂×C₄	C₂⁴×C₃×C₅	1	4	yes	—
784	C₂×C₄	C₂⁴×C₃×C₅	1	2	yes	—
785	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
786	C₂×C₃	—	2	2	no	—
787	C₂×C₃	—	4	4	no	—
788	C₂×C₃	—	4	2	no	—
789	C₂×C₃	C₂×C₅×H(5,𝔽₂)	1	1	yes	characteristic
790	C₂×C₃	C₂×C₅×2₋¹⁺⁴	1	1	yes	characteristic
791	C₂×C₃	C₅×#585	1	1	yes	characteristic
792	C₅	C₃×#3561	1	1	yes	characteristic, direct product factor, Sylow
793	C₂²	—	2	1	no	—
794	C₂²	—	2	1	no	—
795	C₂²	—	2	2	no	—
796	C₂²	—	2	4	no	—
797	C₂²	—	2	2	no	—
798	C₂²	—	2	4	no	—
799	C₂²	—	2	4	no	—
800	C₂²	—	2	2	no	—
801	C₂²	—	8	4	no	—
802	C₂²	C₃×C₅×2₋¹⁺⁴	1	2	yes	—
803	C₂²	C₂⁵×C₃×C₅	1	1	yes	characteristic
804	C₄	—	2	2	no	—
805	C₄	—	2	1	no	—
806	C₄	—	2	4	no	—
807	C₄	—	2	4	no	—
808	C₄	—	2	1	no	—
809	C₄	—	2	1	no	—
810	C₄	—	2	2	no	—
811	C₄	—	2	2	no	—
812	C₄	—	2	4	no	—
813	C₄	—	2	1	no	—
814	C₄	—	2	1	no	—
815	C₄	C₃×C₅×H(5,𝔽₂)	1	2	yes	—
816	C₃	C₅×#3561	1	1	yes	characteristic, direct product factor, Sylow
817	C₂	—	2	2	no	—
818	C₂	—	4	4	no	—
819	C₂	—	4	2	no	—
820	C₂	C₂×C₃×C₅×H(5,𝔽₂)	1	1	yes	characteristic
821	C₂	C₂×C₃×C₅×2₋¹⁺⁴	1	1	yes	characteristic
822	C₂	C₃×C₅×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃×C₅	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁵×C₃×C₅
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₃×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃×C₅×#563	C₂	semidirect
2. C₃×C₅×#562	C₂	semidirect
3. C₃×C₅×#556	C₂	semidirect
4. C₃×C₅×#551	C₂	semidirect
5. C₃×C₅×D₄×Q₈	C₂	semidirect
6. C₃×C₅×#548	C₂	semidirect
7. C₃×C₅×#546	C₂	semidirect
8. C₃×C₅×#543	C₂	semidirect
9. C₃×C₅×#542	C₂	semidirect
10. C₃×C₅×#542	C₂	semidirect
11. C₃×C₅×#538	C₂	semidirect
12. C₃×C₅×#536	C₂	semidirect
13. C₃×C₅×#533	C₂	semidirect
14. C₃×C₅×#529	C₂	semidirect
15. C₂×C₃×C₅×#124	C₂	semidirect
16. C₅×#3561	C₃	direct (N × H)
19. C₂²×C₃×C₅×Q₈	C₂²	semidirect
21. C₃×C₅×C₄⋊Q₈	C₂²	semidirect
22. C₃×C₅×C₄⋊Q₈	C₂²	semidirect
23. C₃×C₅×C₄⋊Q₈	C₂²	semidirect
24. C₃×C₅×C₄⋊Q₈	C₂²	semidirect
25. C₃×C₅×#126	C₂²	semidirect
26. C₃×C₅×#126	C₂²	semidirect
27. C₃×C₅×#126	C₂²	semidirect
28. C₃×C₅×#126	C₂²	semidirect
29. C₃×C₅×#125	C₂²	semidirect
30. C₃×C₅×#125	C₂²	semidirect
36. C₃×C₅×#124	C₂²	semidirect
37. C₃×C₅×#124	C₂²	semidirect
38. C₃×C₅×#124	C₂²	semidirect
41. C₃×C₅×#123	C₂²	semidirect
42. C₃×C₅×#123	C₂²	semidirect
43. C₃×C₅×#123	C₂²	semidirect
48. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
49. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
50. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
51. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
52. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
53. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
54. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
58. C₃×C₅×#121	C₂²	semidirect
60. C₃×C₄×C₅×Q₈	C₂²	semidirect
61. C₃×C₄×C₅×Q₈	C₂²	semidirect
62. C₃×C₄×C₅×Q₈	C₂²	semidirect
63. C₃×C₄×C₅×Q₈	C₂²	semidirect
67. C₃×C₄×C₅×D₄	C₂²	semidirect
68. C₃×C₄×C₅×D₄	C₂²	semidirect
70. C₃×C₅×#117	C₂²	semidirect
71. C₃×C₅×#117	C₂²	semidirect
76. C₃×#3561	C₅	direct (N × H)
77. C₅×#563	C₂×C₃	semidirect
78. C₅×#562	C₂×C₃	semidirect
79. C₅×#556	C₂×C₃	semidirect
80. C₅×#551	C₂×C₃	semidirect
81. C₅×D₄×Q₈	C₂×C₃	semidirect
82. C₅×#548	C₂×C₃	semidirect
83. C₅×#546	C₂×C₃	semidirect
84. C₅×#543	C₂×C₃	semidirect
85. C₅×#542	C₂×C₃	semidirect
86. C₅×#542	C₂×C₃	semidirect
87. C₅×#538	C₂×C₃	semidirect
88. C₅×#536	C₂×C₃	semidirect
89. C₅×#533	C₂×C₃	semidirect
90. C₅×#529	C₂×C₃	semidirect
91. C₂×C₅×#124	C₂×C₃	semidirect
155. C₃×#563	C₂×C₅	semidirect
156. C₃×#562	C₂×C₅	semidirect
157. C₃×#556	C₂×C₅	semidirect
158. C₃×#551	C₂×C₅	semidirect
159. C₃×D₄×Q₈	C₂×C₅	semidirect
160. C₃×#548	C₂×C₅	semidirect
161. C₃×#546	C₂×C₅	semidirect
162. C₃×#543	C₂×C₅	semidirect
163. C₃×#542	C₂×C₅	semidirect
164. C₃×#542	C₂×C₅	semidirect
165. C₃×#538	C₂×C₅	semidirect
166. C₃×#536	C₂×C₅	semidirect
167. C₃×#533	C₂×C₅	semidirect
168. C₃×#529	C₂×C₅	semidirect
169. C₂×C₃×#124	C₂×C₅	semidirect
172. C₂²×C₅×Q₈	C₂²×C₃	semidirect
174. C₅×C₄⋊Q₈	C₂²×C₃	semidirect
175. C₅×C₄⋊Q₈	C₂²×C₃	semidirect
176. C₅×C₄⋊Q₈	C₂²×C₃	semidirect
177. C₅×C₄⋊Q₈	C₂²×C₃	semidirect
178. C₅×#126	C₂²×C₃	semidirect
179. C₅×#126	C₂²×C₃	semidirect
180. C₅×#126	C₂²×C₃	semidirect
181. C₅×#126	C₂²×C₃	semidirect
182. C₅×#125	C₂²×C₃	semidirect
183. C₅×#125	C₂²×C₃	semidirect
189. C₅×#124	C₂²×C₃	semidirect
190. C₅×#124	C₂²×C₃	semidirect
191. C₅×#124	C₂²×C₃	semidirect
194. C₅×#123	C₂²×C₃	semidirect
195. C₅×#123	C₂²×C₃	semidirect
196. C₅×#123	C₂²×C₃	semidirect
201. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
202. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
203. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
204. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
205. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
206. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
207. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
211. C₅×#121	C₂²×C₃	semidirect
213. C₄×C₅×Q₈	C₂²×C₃	semidirect
214. C₄×C₅×Q₈	C₂²×C₃	semidirect
215. C₄×C₅×Q₈	C₂²×C₃	semidirect
216. C₄×C₅×Q₈	C₂²×C₃	semidirect
220. C₄×C₅×D₄	C₂²×C₃	semidirect
221. C₄×C₅×D₄	C₂²×C₃	semidirect
223. C₅×#117	C₂²×C₃	semidirect
224. C₅×#117	C₂²×C₃	semidirect
229. #3561	C₃×C₅	direct (N × H)
270. C₂²×C₃×Q₈	C₂²×C₅	semidirect
272. C₃×C₄⋊Q₈	C₂²×C₅	semidirect
273. C₃×C₄⋊Q₈	C₂²×C₅	semidirect
274. C₃×C₄⋊Q₈	C₂²×C₅	semidirect
275. C₃×C₄⋊Q₈	C₂²×C₅	semidirect
276. C₃×#126	C₂²×C₅	semidirect
277. C₃×#126	C₂²×C₅	semidirect
278. C₃×#126	C₂²×C₅	semidirect
279. C₃×#126	C₂²×C₅	semidirect
280. C₃×#125	C₂²×C₅	semidirect
281. C₃×#125	C₂²×C₅	semidirect
287. C₃×#124	C₂²×C₅	semidirect
288. C₃×#124	C₂²×C₅	semidirect
289. C₃×#124	C₂²×C₅	semidirect
292. C₃×#123	C₂²×C₅	semidirect
293. C₃×#123	C₂²×C₅	semidirect
294. C₃×#123	C₂²×C₅	semidirect
299. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
300. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
301. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
302. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
303. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
304. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
305. C₃×C₂²⋊Q₈	C₂²×C₅	semidirect
309. C₃×#121	C₂²×C₅	semidirect
311. C₃×C₄×Q₈	C₂²×C₅	semidirect
312. C₃×C₄×Q₈	C₂²×C₅	semidirect
313. C₃×C₄×Q₈	C₂²×C₅	semidirect
314. C₃×C₄×Q₈	C₂²×C₅	semidirect
318. C₃×C₄×D₄	C₂²×C₅	semidirect
319. C₃×C₄×D₄	C₂²×C₅	semidirect
321. C₃×#117	C₂²×C₅	semidirect
322. C₃×#117	C₂²×C₅	semidirect
390. #563	C₂×C₃×C₅	semidirect
391. #562	C₂×C₃×C₅	semidirect
392. #556	C₂×C₃×C₅	semidirect
393. #551	C₂×C₃×C₅	semidirect
394. D₄×Q₈	C₂×C₃×C₅	semidirect
395. #548	C₂×C₃×C₅	semidirect
396. #546	C₂×C₃×C₅	semidirect
397. #543	C₂×C₃×C₅	semidirect
398. #542	C₂×C₃×C₅	semidirect
399. #542	C₂×C₃×C₅	semidirect
400. #538	C₂×C₃×C₅	semidirect
401. #536	C₂×C₃×C₅	semidirect
402. #533	C₂×C₃×C₅	semidirect
403. #529	C₂×C₃×C₅	semidirect
404. C₂×#124	C₂×C₃×C₅	semidirect
531. C₂²×Q₈	C₂²×C₃×C₅	semidirect
533. C₄⋊Q₈	C₂²×C₃×C₅	semidirect
534. C₄⋊Q₈	C₂²×C₃×C₅	semidirect
535. C₄⋊Q₈	C₂²×C₃×C₅	semidirect
536. C₄⋊Q₈	C₂²×C₃×C₅	semidirect
537. #126	C₂²×C₃×C₅	semidirect
538. #126	C₂²×C₃×C₅	semidirect
539. #126	C₂²×C₃×C₅	semidirect
540. #126	C₂²×C₃×C₅	semidirect
541. #125	C₂²×C₃×C₅	semidirect
542. #125	C₂²×C₃×C₅	semidirect
548. #124	C₂²×C₃×C₅	semidirect
549. #124	C₂²×C₃×C₅	semidirect
550. #124	C₂²×C₃×C₅	semidirect
553. #123	C₂²×C₃×C₅	semidirect
554. #123	C₂²×C₃×C₅	semidirect
555. #123	C₂²×C₃×C₅	semidirect
560. C₂²⋊Q₈	C₂²×C₃×C₅	semidirect
561. C₂²⋊Q₈	C₂²×C₃×C₅	semidirect
562. C₂²⋊Q₈	C₂²×C₃×C₅	semidirect
563. C₂²⋊Q₈	C₂²×C₃×C₅	semidirect
564. C₂²⋊Q₈	C₂²×C₃×C₅	semidirect
565. C₂²⋊Q₈	C₂²×C₃×C₅	semidirect
566. C₂²⋊Q₈	C₂²×C₃×C₅	semidirect
570. #121	C₂²×C₃×C₅	semidirect
572. C₄×Q₈	C₂²×C₃×C₅	semidirect
573. C₄×Q₈	C₂²×C₃×C₅	semidirect
574. C₄×Q₈	C₂²×C₃×C₅	semidirect
575. C₄×Q₈	C₂²×C₃×C₅	semidirect
579. C₄×D₄	C₂²×C₃×C₅	semidirect
580. C₄×D₄	C₂²×C₃×C₅	semidirect
582. #117	C₂²×C₃×C₅	semidirect
583. #117	C₂²×C₃×C₅	semidirect
718. C₃×C₅	#3561	direct (N × H)
792. C₅	C₃×#3561	direct (N × H)
816. C₃	C₅×#3561	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃×C₅×#563	2
C₃×C₅×#562	2
C₃×C₅×#556	2
C₃×C₅×#551	2
C₃×C₅×D₄×Q₈	2
C₃×C₅×#548	2
C₃×C₅×#546	2
C₃×C₅×#543	2
C₃×C₅×#542	2
C₃×C₅×#538	2
C₃×C₅×#536	2
C₃×C₅×#533	2
C₃×C₅×#529	2
C₂×C₃×C₅×#124	2
C₅×#3561	3
C₃×#3561	5

Subgroups — C3×C5×#3561 #14276595

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×C₅×#3561 #14276595