Subgroups — #72260161

Order 2400.

772 conjugacy classes of subgroups.

The subgroup lattice has 356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄⋊(C₃⋊(C₅⋊D₅))	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×#6817	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×C₅×#709	C₂	1	1	yes	maximal, characteristic, complemented
4	#11925646	C₂	1	4	yes	maximal, complemented
5	D₅×D₆₀	C₂	1	2	yes	maximal, complemented
6	D₁₅×D₂₀	C₂	1	2	yes	maximal, complemented
7	#11925629	C₂	1	2	yes	maximal, complemented
8	#11925625	C₂	1	2	yes	maximal, complemented
9	#11717473	—	3	1	no	maximal, Hall
10	C₂²×C₃⋊(C₅⋊D₅)	C₂²	1	2	yes	complemented
11	C₂×D₅×D₁₅	C₂²	1	4	yes	complemented
12	C₂×C₃×C₄×C₅²	C₂²	1	1	yes	characteristic, complemented
13	C₄⋊(C₃⋊(C₅⋊D₅))	C₂²	1	2	yes	complemented
14	C₄⋊(C₃⋊(C₅⋊D₅))	C₂²	1	2	yes	complemented
15	C₅×#1220	C₂²	1	2	yes	complemented
16	C₅×D₆₀	C₂²	1	1	yes	characteristic, complemented
17	C₄×C₅×D₁₅	C₂²	1	2	yes	complemented
18	C₅×Dic₃₀	C₂²	1	1	yes	characteristic, complemented
19	C₃×C₅×C₂²⋊D₅	C₂²	1	2	yes	complemented
20	C₃×C₅×D₂₀	C₂²	1	1	yes	characteristic, complemented
21	C₃×C₄×C₅×D₅	C₂²	1	2	yes	complemented
22	C₃×C₅×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
23	#10597123	C₂²	1	4	yes	complemented
24	#10597122	C₂²	1	4	yes	complemented
25	#10597120	C₂²	1	4	yes	complemented
26	#92100	—	5	1	no	maximal
27	#92019	—	5	1	no	maximal
28	C₂×C₄⋊(C₅⋊D₅)	—	3	1	no	—
29	C₅×#709	—	3	1	no	—
30	C₅×#709	D₃	1	1	yes	characteristic, complemented
31	#87886	—	3	4	no	—
32	D₅×D₂₀	—	3	2	no	—
33	D₅×D₂₀	—	3	2	no	—
34	#87874	—	3	2	no	—
35	#87874	—	3	2	no	—
36	C₂²×C₃×C₅²	C₂³	1	1	yes	characteristic
37	C₂×C₃⋊(C₅⋊D₅)	—	4	2	no	—
38	C₂×C₃⋊(C₅⋊D₅)	C₂³	1	4	yes	—
39	C₂×C₅×D₁₅	C₂³	1	2	yes	—
40	C₂×C₃×C₅×D₅	C₂³	1	2	yes	—
41	D₅×D₁₅	—	4	4	no	—
42	C₃×C₄×C₅²	C₂³	1	1	yes	characteristic
43	C₃×C₄×C₅²	C₂³	1	1	yes	characteristic
44	C₅×Dic₁₅	C₂³	1	2	yes	—
45	C₃×C₅×Dic₅	C₂³	1	2	yes	—
46	C₃×C₅×#41	—	5	1	no	—
47	#6821	—	5	2	no	—
48	D₄×D₁₅	—	5	4	no	—
49	D₄×D₁₅	—	5	2	no	—
50	#6817	—	5	2	no	—
51	#6817	D₅	1	1	yes	characteristic, complemented
52	C₂×D₆₀	—	5	1	no	—
53	C₂×D₆₀	—	5	1	no	—
54	C₂×D₆₀	—	5	2	no	—
55	C₂×D₆₀	—	10	2	no	—
56	C₅×#235	—	5	1	no	—
57	C₃×#709	D₅	1	1	yes	characteristic, complemented
58	#6790	—	5	4	no	—
59	D₃×D₂₀	—	5	2	no	—
60	D₅×D₁₂	—	5	2	no	—
61	#6773	—	5	2	no	—
62	#6769	—	5	2	no	—
63	C₂²×C₅⋊D₅	—	3	2	no	—
64	C₂×D₅²	—	3	4	no	—
65	C₂×C₄×C₅²	C₂×D₃	1	1	yes	characteristic, complemented
66	C₄⋊(C₅⋊D₅)	—	3	2	no	—
67	C₄⋊(C₅⋊D₅)	—	3	2	no	—
68	C₅×C₂²⋊D₅	—	3	2	no	—
69	C₅×C₂²⋊D₅	C₂×D₃	1	2	yes	complemented
70	C₅×D₂₀	—	3	1	no	—
71	C₅×D₂₀	C₂×D₃	1	1	yes	characteristic, complemented
72	C₄×C₅×D₅	—	3	2	no	—
73	C₄×C₅×D₅	C₂×D₃	1	2	yes	complemented
74	C₅×Dic₁₀	—	3	1	no	—
75	C₅×Dic₁₀	C₂×D₃	1	1	yes	characteristic, complemented
76	#6038	—	3	4	no	—
77	#6038	—	3	4	no	—
78	#6036	—	3	4	no	—
79	#4149	—	15	1	no	—
80	#4149	—	15	1	no	—
81	C₂×C₃×C₅²	—	2	1	no	—
82	C₂×C₃×C₅²	C₂⁴	1	1	yes	characteristic
83	C₃⋊(C₅⋊D₅)	—	2	4	no	—
84	C₅×D₁₅	—	2	2	no	—
85	C₃×C₅×D₅	—	2	2	no	—
86	C₂²×D₁₅	—	5	2	no	—
87	C₂²×D₁₅	—	5	2	no	—
88	C₂²×D₁₅	—	5	4	no	—
89	C₂²×D₁₅	—	10	4	no	—
90	C₂×D₃×D₅	—	5	4	no	—
91	C₃×C₅×Q₈	—	5	1	no	—
92	C₃×C₅×D₄	—	5	2	no	—
93	C₃×C₅×D₄	—	5	1	no	—
94	C₂×C₃×C₄×C₅	—	2	2	no	—
95	C₂×C₃×C₄×C₅	—	5	2	no	—
96	C₂×C₃×C₄×C₅	C₂×D₅	1	1	yes	characteristic, complemented
97	C₂×C₃×C₄×C₅	C₂×D₅	1	1	yes	characteristic, complemented
98	#1220	—	5	4	no	—
99	#1220	C₂×D₅	1	2	yes	complemented
100	D₆₀	—	5	4	no	—
101	D₆₀	—	5	2	no	—
102	D₆₀	—	5	2	no	—
103	D₆₀	—	5	2	no	—
104	D₆₀	—	5	2	no	—
105	D₆₀	—	10	4	no	—
106	D₆₀	—	10	4	no	—
107	D₆₀	C₂×D₅	1	1	yes	characteristic, complemented
108	C₄×D₁₅	—	5	4	no	—
109	C₄×D₁₅	C₂×D₅	1	2	yes	complemented
110	Dic₃₀	C₂×D₅	1	1	yes	characteristic, complemented
111	C₅×#67	—	5	2	no	—
112	C₅×D₁₂	—	5	1	no	—
113	C₄×C₅×D₃	—	5	2	no	—
114	C₅×Dic₆	—	5	1	no	—
115	C₃×C₂²⋊D₅	C₂×D₅	1	2	yes	complemented
116	C₃×D₂₀	C₂×D₅	1	1	yes	characteristic, complemented
117	C₃×C₄×D₅	C₂×D₅	1	2	yes	complemented
118	C₃×Dic₁₀	C₂×D₅	1	1	yes	characteristic, complemented
119	#1203	—	5	4	no	—
120	#1202	—	5	4	no	—
121	#1200	—	5	4	no	—
122	C₂²×C₅²	C₂²×D₃	1	1	yes	characteristic
123	C₂×C₅⋊D₅	—	3	4	no	—
124	C₂×C₅⋊D₅	—	12	2	no	—
125	C₂×C₅×D₅	—	3	2	no	—
126	C₂×C₅×D₅	C₂²×D₃	1	2	yes	—
127	D₅²	—	12	4	no	—
128	C₄×C₅²	C₂²×D₃	1	1	yes	characteristic
129	C₄×C₅²	C₂²×D₃	1	1	yes	characteristic
130	C₅×Dic₅	—	3	2	no	—
131	C₅×Dic₅	C₂²×D₃	1	2	yes	—
132	#1009	—	25	1	no	Hall
133	C₅×#41	—	5	1	no	—
134	C₅×#41	—	15	1	no	—
135	#713	—	15	2	no	—
136	#713	—	15	2	no	—
137	D₄×D₅	—	15	2	no	—
138	D₄×D₅	—	15	4	no	—
139	D₄×D₅	—	15	4	no	—
140	D₄×D₅	—	15	2	no	—
141	#709	—	3	1	no	—
142	#709	—	15	2	no	—
143	#709	—	15	2	no	—
144	#709	D₁₅	1	1	yes	characteristic, complemented
145	C₂×D₂₀	—	15	2	no	—
146	C₂×D₂₀	—	15	1	no	—
147	C₂×D₂₀	—	15	1	no	—
148	C₂×D₂₀	—	15	2	no	—
149	C₂×D₂₀	—	30	2	no	—
150	C₃×C₅²	H(5,𝔽₂)	1	1	yes	characteristic, complemented, Hall
151	C₂²×C₃×C₅	—	2	2	no	—
152	C₂²×C₃×C₅	—	5	2	no	—
153	C₂²×C₃×C₅	C₂²×D₅	1	1	yes	characteristic
154	C₂²×C₃×C₅	C₂²×D₅	1	1	yes	characteristic
155	C₂×D₁₅	—	5	4	no	—
156	C₂×D₁₅	—	5	4	no	—
157	C₂×D₁₅	—	10	8	no	—
158	C₂×D₁₅	—	20	4	no	—
159	C₂×D₁₅	—	20	2	no	—
160	C₂×D₁₅	—	20	2	no	—
161	C₂×D₁₅	—	20	8	no	—
162	C₂×D₁₅	C₂²×D₅	1	2	yes	—
163	C₂×C₅×D₃	—	5	2	no	—
164	C₂×C₃×D₅	C₂²×D₅	1	2	yes	—
165	D₃×D₅	—	20	4	no	—
166	C₃×C₄×C₅	—	2	2	no	—
167	C₃×C₄×C₅	—	2	2	no	—
168	C₃×C₄×C₅	—	5	2	no	—
169	C₃×C₄×C₅	C₂²×D₅	1	1	yes	characteristic
170	C₃×C₄×C₅	C₂²×D₅	1	1	yes	characteristic
171	C₃×C₄×C₅	C₂²×D₅	1	1	yes	characteristic
172	C₃×C₄×C₅	C₂²×D₅	1	1	yes	characteristic
173	Dic₁₅	C₂²×D₅	1	2	yes	—
174	C₃×Dic₅	C₂²×D₅	1	2	yes	—
175	C₅×Dic₃	—	5	2	no	—
176	C₂×C₅²	—	2	1	no	—
177	C₂×C₅²	C₂³×D₃	1	1	yes	characteristic
178	C₅⋊D₅	—	6	4	no	—
179	C₅×D₅	—	2	2	no	—
180	C₅×D₅	—	6	2	no	—
181	C₃×#41	—	5	1	no	—
182	#239	—	25	2	no	—
183	D₃×D₄	—	25	2	no	—
184	D₃×D₄	—	25	4	no	—
185	#235	—	5	1	no	—
186	#235	—	25	2	no	—
187	C₂×D₁₂	—	25	2	no	—
188	C₂×D₁₂	—	25	1	no	—
189	C₂²×D₅	—	15	4	no	—
190	C₂²×D₅	—	15	2	no	—
191	C₂²×D₅	—	15	2	no	—
192	C₂²×D₅	—	15	4	no	—
193	C₂²×D₅	—	30	4	no	—
194	C₅×Q₈	—	5	1	no	—
195	C₅×Q₈	—	15	1	no	—
196	C₅×D₄	—	5	2	no	—
197	C₅×D₄	—	5	1	no	—
198	C₅×D₄	—	15	2	no	—
199	C₅×D₄	—	15	1	no	—
200	C₂×C₄×C₅	—	2	2	no	—
201	C₂×C₄×C₅	—	5	2	no	—
202	C₂×C₄×C₅	—	15	2	no	—
203	C₂×C₄×C₅	D₃×D₅	1	1	yes	characteristic, complemented
204	C₂×C₄×C₅	C₂×D₁₅	1	1	yes	characteristic, complemented
205	C₂²⋊D₅	—	3	2	no	—
206	C₂²⋊D₅	—	15	4	no	—
207	C₂²⋊D₅	—	15	4	no	—
208	C₂²⋊D₅	C₂×D₁₅	1	2	yes	complemented
209	D₂₀	—	3	1	no	—
210	D₂₀	—	15	4	no	—
211	D₂₀	—	15	4	no	—
212	D₂₀	—	15	2	no	—
213	D₂₀	—	15	2	no	—
214	D₂₀	—	15	2	no	—
215	D₂₀	—	15	2	no	—
216	D₂₀	—	30	4	no	—
217	D₂₀	—	30	4	no	—
218	D₂₀	C₂×D₁₅	1	1	yes	characteristic, complemented
219	C₄×D₅	—	3	2	no	—
220	C₄×D₅	—	15	4	no	—
221	C₄×D₅	—	15	4	no	—
222	C₄×D₅	C₂×D₁₅	1	2	yes	complemented
223	Dic₁₀	—	3	1	no	—
224	Dic₁₀	C₂×D₁₅	1	1	yes	characteristic, complemented
225	H(5,𝔽₂)	—	75	1	no	Sylow
226	C₂×C₃×C₅	—	2	4	no	—
227	C₂×C₃×C₅	—	2	1	no	—
228	C₂×C₃×C₅	—	2	1	no	—
229	C₂×C₃×C₅	—	2	2	no	—
230	C₂×C₃×C₅	—	10	2	no	—
231	C₂×C₃×C₅	C₂³×D₅	1	1	yes	characteristic
232	C₂×C₃×C₅	C₂³×D₅	1	1	yes	characteristic
233	D₁₅	—	2	2	no	—
234	D₁₅	—	10	4	no	—
235	D₁₅	—	10	4	no	—
236	D₁₅	—	20	8	no	—
237	C₃×D₅	—	2	2	no	—
238	C₅×D₃	—	10	2	no	—
239	C₅²	#1009	1	1	yes	characteristic, complemented, Sylow
240	C₂²×D₃	—	25	4	no	—
241	C₂²×D₃	—	25	2	no	—
242	C₃×Q₈	—	5	1	no	—
243	C₃×D₄	—	5	2	no	—
244	C₃×D₄	—	5	1	no	—
245	C₂×C₃×C₄	—	5	2	no	—
246	C₂×C₃×C₄	D₅²	1	1	yes	characteristic, complemented
247	#67	—	5	2	no	—
248	#67	—	25	4	no	—
249	D₁₂	—	5	1	no	—
250	D₁₂	—	25	4	no	—
251	D₁₂	—	25	2	no	—
252	D₁₂	—	25	2	no	—
253	C₄×D₃	—	5	2	no	—
254	C₄×D₃	—	25	4	no	—
255	Dic₆	—	5	1	no	—
256	C₂²×C₅	—	2	2	no	—
257	C₂²×C₅	—	5	2	no	—
258	C₂²×C₅	—	15	2	no	—
259	C₂²×C₅	C₂×D₃×D₅	1	1	yes	characteristic
260	C₂²×C₅	C₂²×D₁₅	1	1	yes	characteristic
261	C₂×D₅	—	3	2	no	—
262	C₂×D₅	—	15	4	no	—
263	C₂×D₅	—	15	4	no	—
264	C₂×D₅	—	30	8	no	—
265	C₂×D₅	—	60	4	no	—
266	C₂×D₅	—	60	4	no	—
267	C₂×D₅	—	60	2	no	—
268	C₂×D₅	—	60	2	no	—
269	C₂×D₅	—	60	8	no	—
270	C₂×D₅	C₂²×D₁₅	1	2	yes	—
271	C₄×C₅	—	2	2	no	—
272	C₄×C₅	—	2	2	no	—
273	C₄×C₅	—	5	2	no	—
274	C₄×C₅	—	15	2	no	—
275	C₄×C₅	C₂×D₃×D₅	1	1	yes	characteristic
276	C₄×C₅	C₂×D₃×D₅	1	1	yes	characteristic
277	C₄×C₅	C₂²×D₁₅	1	1	yes	characteristic
278	C₄×C₅	C₂²×D₁₅	1	1	yes	characteristic
279	Dic₅	—	3	2	no	—
280	Dic₅	C₂²×D₁₅	1	2	yes	—
281	#41	—	5	1	no	—
282	#41	—	15	1	no	—
283	#41	—	75	2	no	—
284	#41	—	75	2	no	—
285	C₂×D₄	—	75	2	no	—
286	C₂×D₄	—	75	2	no	—
287	C₂×D₄	—	75	4	no	—
288	C₂×D₄	—	75	1	no	—
289	C₃×C₅	—	2	2	no	—
290	C₃×C₅	#4149	1	1	yes	characteristic, complemented
291	C₃×C₅	#4149	1	1	yes	characteristic, complemented
292	C₂²×C₃	—	5	2	no	—
293	C₂²×C₃	C₂×D₅²	1	1	yes	characteristic
294	C₂×D₃	—	5	2	no	—
295	C₂×D₃	—	25	4	no	—
296	C₂×D₃	—	100	4	no	—
297	C₂×D₃	—	100	2	no	—
298	C₃×C₄	—	5	2	no	—
299	C₃×C₄	C₂×D₅²	1	1	yes	characteristic
300	C₃×C₄	C₂×D₅²	1	1	yes	characteristic
301	Dic₃	—	5	2	no	—
302	C₂×C₅	—	2	4	no	—
303	C₂×C₅	—	2	1	no	—
304	C₂×C₅	—	2	1	no	—
305	C₂×C₅	—	2	2	no	—
306	C₂×C₅	—	10	2	no	—
307	C₂×C₅	—	30	2	no	—
308	C₂×C₅	C₂²×D₃×D₅	1	1	yes	characteristic
309	C₂×C₅	C₂³×D₁₅	1	1	yes	characteristic
310	D₅	—	2	2	no	—
311	D₅	—	6	2	no	—
312	D₅	—	30	4	no	—
313	D₅	—	30	4	no	—
314	D₅	—	60	8	no	—
315	C₂³	—	75	4	no	—
316	C₂³	—	75	2	no	—
317	Q₈	—	5	1	no	—
318	Q₈	—	15	1	no	—
319	D₄	—	5	2	no	—
320	D₄	—	5	1	no	—
321	D₄	—	15	2	no	—
322	D₄	—	15	1	no	—
323	D₄	—	75	4	no	—
324	D₄	—	75	4	no	—
325	D₄	—	75	2	no	—
326	D₄	—	75	2	no	—
327	C₂×C₄	—	5	2	no	—
328	C₂×C₄	—	15	2	no	—
329	C₂×C₄	—	75	4	no	—
330	C₂×C₄	D₅×D₁₅	1	1	yes	characteristic, complemented
331	C₂×C₃	—	2	1	no	—
332	C₂×C₃	—	10	2	no	—
333	C₂×C₃	C₂²×D₅²	1	1	yes	characteristic
334	D₃	—	10	2	no	—
335	D₃	—	50	4	no	—
336	C₅	—	2	2	no	—
337	C₅	#92019	1	1	yes	characteristic, complemented
338	C₅	#92100	1	1	yes	characteristic, complemented
339	C₂²	—	5	2	no	—
340	C₂²	—	15	2	no	—
341	C₂²	—	300	2	no	—
342	C₂²	—	300	4	no	—
343	C₂²	—	75	4	no	—
344	C₂²	C₂×D₅×D₁₅	1	1	yes	characteristic
345	C₄	—	5	2	no	—
346	C₄	—	15	2	no	—
347	C₄	C₂×D₅×D₁₅	1	1	yes	characteristic
348	C₄	C₂×D₅×D₁₅	1	1	yes	characteristic
349	C₃	#11717473	1	1	yes	characteristic, complemented, Sylow
350	C₂	—	2	1	no	—
351	C₂	—	10	2	no	—
352	C₂	—	30	2	no	—
353	C₂	—	150	4	no	—
354	C₂	C₂²×D₅×D₁₅	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂	C₂²×D₅×D₁₅
commutator, socle, cosocle	C₂×C₃×C₅²	C₂⁴
Fitting	C₂×C₃×C₄×C₅²	C₂²
hypercenter	C₂×C₄	D₅×D₁₅
hypocenter	C₃×C₅²	H(5,𝔽₂)
LCS	G ▷ C₂×C₃×C₅² ▷ C₃×C₅²
UCS	C₁ ◁ C₂ ◁ C₂×C₄

Complements

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

N	H ≅ G/N	type
1. C₂×C₄⋊(C₃⋊(C₅⋊D₅))	C₂	semidirect
2. C₅×#6817	C₂	semidirect
3. C₃×C₅×#709	C₂	semidirect
4. #11925646	C₂	semidirect
5. D₅×D₆₀	C₂	semidirect
6. D₁₅×D₂₀	C₂	semidirect
7. #11925629	C₂	semidirect
8. #11925625	C₂	semidirect
10. C₂²×C₃⋊(C₅⋊D₅)	C₂²	semidirect
11. C₂×D₅×D₁₅	C₂²	semidirect
12. C₂×C₃×C₄×C₅²	C₂²	semidirect
13. C₄⋊(C₃⋊(C₅⋊D₅))	C₂²	semidirect
14. C₄⋊(C₃⋊(C₅⋊D₅))	C₂²	semidirect
15. C₅×#1220	C₂²	semidirect
16. C₅×D₆₀	C₂²	semidirect
17. C₄×C₅×D₁₅	C₂²	semidirect
18. C₅×Dic₃₀	C₂²	semidirect
19. C₃×C₅×C₂²⋊D₅	C₂²	semidirect
20. C₃×C₅×D₂₀	C₂²	semidirect
21. C₃×C₄×C₅×D₅	C₂²	semidirect
22. C₃×C₅×Dic₁₀	C₂²	semidirect
23. #10597123	C₂²	semidirect
24. #10597122	C₂²	semidirect
25. #10597120	C₂²	semidirect
30. C₅×#709	D₃	semidirect
51. #6817	D₅	semidirect
57. C₃×#709	D₅	semidirect
65. C₂×C₄×C₅²	C₂×D₃	semidirect
69. C₅×C₂²⋊D₅	C₂×D₃	semidirect
71. C₅×D₂₀	C₂×D₃	semidirect
73. C₄×C₅×D₅	C₂×D₃	semidirect
75. C₅×Dic₁₀	C₂×D₃	semidirect
96. C₂×C₃×C₄×C₅	C₂×D₅	semidirect
97. C₂×C₃×C₄×C₅	C₂×D₅	semidirect
99. #1220	C₂×D₅	semidirect
107. D₆₀	C₂×D₅	semidirect
109. C₄×D₁₅	C₂×D₅	semidirect
110. Dic₃₀	C₂×D₅	semidirect
115. C₃×C₂²⋊D₅	C₂×D₅	semidirect
116. C₃×D₂₀	C₂×D₅	semidirect
117. C₃×C₄×D₅	C₂×D₅	semidirect
118. C₃×Dic₁₀	C₂×D₅	semidirect
144. #709	D₁₅	semidirect
150. C₃×C₅²	H(5,𝔽₂)	semidirect
203. C₂×C₄×C₅	D₃×D₅	semidirect
204. C₂×C₄×C₅	C₂×D₁₅	semidirect
208. C₂²⋊D₅	C₂×D₁₅	semidirect
218. D₂₀	C₂×D₁₅	semidirect
222. C₄×D₅	C₂×D₁₅	semidirect
224. Dic₁₀	C₂×D₁₅	semidirect
239. C₅²	#1009	semidirect
246. C₂×C₃×C₄	D₅²	semidirect
290. C₃×C₅	#4149	semidirect
291. C₃×C₅	#4149	semidirect
330. C₂×C₄	D₅×D₁₅	semidirect
337. C₅	#92019	semidirect
338. C₅	#92100	semidirect
349. C₃	#11717473	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₄⋊(C₃⋊(C₅⋊D₅))	2
C₅×#6817	2
C₃×C₅×#709	2
#11925646	2
D₅×D₆₀	2
D₁₅×D₂₀	2
#11925629	2
#11925625	2
#11717473	3
#92100	5
#92019	5