Subgroups — #14294953

Order 1920.

480 conjugacy classes of subgroups.

The subgroup lattice has 384 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11751788	C₂	1	1	yes	maximal, characteristic
2	#11751748	C₂	1	1	yes	maximal, characteristic
3	C₈×D₅×Dic₃	C₂	1	1	yes	maximal, characteristic
4	#11746763	C₂	1	1	yes	maximal, characteristic
5	C₃×(C₂×AGL(1,𝔽₅))⋊C₈	C₂	1	1	yes	maximal, characteristic
6	#11746517	C₂	1	1	yes	maximal, characteristic
7	(C₂×AGL(1,𝔽₅))⋊(C₃⋊C₈)	C₂	1	1	yes	maximal, characteristic
8	#10603840	—	3	1	no	maximal, Hall
9	C₂×C₄×ΓL(1,𝔽₁₆)	C₂²	1	1	yes	characteristic
10	C₂×D₅⋊(C₃⋊C₈)	C₂²	1	1	yes	characteristic
11	C₂×C₃×C₄×AGL(1,𝔽₅)	C₂²	1	1	yes	characteristic
12	C₂×C₃×D₅⋊C₈	C₂²	1	1	yes	characteristic
13	C₂×C₃×C₈×D₅	C₂²	1	1	yes	characteristic
14	C₄×D₅×Dic₃	C₂²	1	1	yes	characteristic
15	C₂×D₅×C₃⋊C₈	C₂²	1	1	yes	characteristic
16	#91169	C₄	1	2	yes	complemented
17	#91169	C₄	1	2	yes	complemented
18	(C₂×AGL(1,𝔽₅))⋊Dic₃	C₄	1	2	yes	—
19	(C₂×AGL(1,𝔽₅))⋊Dic₃	C₄	1	2	yes	—
20	C₈×Dic₁₅	C₄	1	1	yes	characteristic, complemented
21	C₅×C₈×Dic₃	C₄	1	1	yes	characteristic, complemented
22	#90951	C₄	1	1	yes	characteristic, complemented
23	Dic₃×#168	C₄	1	1	yes	characteristic, complemented
24	#68598	—	5	1	no	maximal, Hall
25	#65686	—	3	1	no	—
26	#65676	—	3	1	no	—
27	C₄×C₈×D₅	—	3	1	no	—
28	(C₂×AGL(1,𝔽₅))⋊C₈	—	3	1	no	—
29	(C₂×AGL(1,𝔽₅))⋊C₈	—	3	1	no	—
30	(C₂×AGL(1,𝔽₅))⋊C₈	—	3	1	no	—
31	(C₂×AGL(1,𝔽₅))⋊C₈	D₃	1	1	yes	characteristic
32	C₂²×ΓL(1,𝔽₁₆)	C₂×C₄	1	2	yes	—
33	C₂²×C₃×AGL(1,𝔽₅)	C₂×C₄	1	2	yes	—
34	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
35	C₂×D₅×Dic₃	C₂×C₄	1	1	yes	characteristic
36	C₂×D₅×Dic₃	C₂×C₄	1	1	yes	characteristic
37	C₂×C₃⋊#170	C₂×C₄	1	2	yes	—
38	C₄×ΓL(1,𝔽₁₆)	—	2	1	no	—
39	C₄×ΓL(1,𝔽₁₆)	—	2	1	no	—
40	D₅⋊(C₃⋊C₈)	—	2	1	no	—
41	D₅⋊(C₃⋊C₈)	—	2	1	no	—
42	C₂×C₃×#170	C₂×C₄	1	2	yes	—
43	C₃×C₄×AGL(1,𝔽₅)	—	2	1	no	—
44	C₃×C₄×AGL(1,𝔽₅)	—	2	1	no	—
45	C₃×D₅⋊C₈	—	2	1	no	—
46	C₃×D₅⋊C₈	—	2	1	no	—
47	C₂×C₃×C₅×C₈	C₂×C₄	1	1	yes	characteristic
48	C₄×Dic₁₅	C₂×C₄	1	1	yes	characteristic
49	C₂×C₃⋊#168	C₂×C₄	1	1	yes	characteristic
50	C₄×C₅×Dic₃	C₂×C₄	1	1	yes	characteristic
51	C₂×C₅×C₃⋊C₈	C₂×C₄	1	1	yes	characteristic
52	C₂×C₃×#168	C₂×C₄	1	1	yes	characteristic
53	C₃×C₈×D₅	—	2	1	no	—
54	C₃×C₈×D₅	—	2	1	no	—
55	Dic₃×Dic₅	C₂×C₄	1	1	yes	characteristic
56	Dic₃×Dic₅	C₂×C₄	1	1	yes	characteristic
57	D₅×C₃⋊C₈	—	2	1	no	—
58	D₅×C₃⋊C₈	—	2	1	no	—
59	C₂×#815	—	5	1	no	—
60	C₂×C₈×Dic₃	—	5	1	no	—
61	#4932	—	5	1	no	—
62	C₃×#336	—	5	1	no	—
63	#4550	—	5	1	no	—
64	#4550	—	5	1	no	—
65	#4524	—	5	1	no	—
66	C₂×C₄×AGL(1,𝔽₅)	—	3	1	no	—
67	C₂×C₄×AGL(1,𝔽₅)	C₂×D₃	1	1	yes	characteristic
68	C₂×D₅⋊C₈	—	3	1	no	—
69	C₂×D₅⋊C₈	C₂×D₃	1	1	yes	characteristic
70	C₂×C₈×D₅	—	3	1	no	—
71	C₂×C₈×D₅	C₂×D₃	1	1	yes	characteristic
72	C₄²×D₅	—	3	1	no	—
73	(C₂×AGL(1,𝔽₅))⋊C₄	—	3	2	no	—
74	(C₂×AGL(1,𝔽₅))⋊C₄	—	3	2	no	—
75	#4002	—	3	2	no	—
76	#4002	—	3	2	no	—
77	C₄×C₅×C₈	—	3	1	no	—
78	C₈×Dic₅	—	3	1	no	—
79	C₈×Dic₅	—	3	1	no	—
80	C₄×#168	—	3	1	no	—
81	#1746	—	15	1	no	Sylow
82	C₂²×C₃×D₅	C₂²×C₄	1	1	yes	characteristic
83	C₂×ΓL(1,𝔽₁₆)	—	2	2	no	—
84	C₂×ΓL(1,𝔽₁₆)	—	2	2	no	—
85	C₂×ΓL(1,𝔽₁₆)	—	2	2	no	—
86	C₂×C₃×AGL(1,𝔽₅)	—	2	2	no	—
87	C₂×C₃×AGL(1,𝔽₅)	—	2	2	no	—
88	C₂×C₃×AGL(1,𝔽₅)	—	2	2	no	—
89	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
90	C₂×Dic₁₅	C₄²	1	1	yes	characteristic
91	C₂×Dic₁₅	C₄²	1	1	yes	characteristic
92	C₂×C₅×Dic₃	C₄²	1	1	yes	characteristic
93	C₂×C₅×Dic₃	C₄²	1	1	yes	characteristic
94	C₂×C₃×Dic₅	C₂²×C₄	1	1	yes	characteristic
95	C₃×C₄×D₅	#41	1	1	yes	characteristic
96	C₃×C₄×D₅	#41	1	1	yes	characteristic
97	C₃×C₄×D₅	#41	1	1	yes	characteristic
98	C₃×C₄×D₅	#41	1	1	yes	characteristic
99	D₅×Dic₃	—	2	2	no	—
100	D₅×Dic₃	—	2	2	no	—
101	C₃⋊#170	—	2	2	no	—
102	C₃×#170	—	2	2	no	—
103	C₃×C₅×C₈	—	2	1	no	—
104	C₃⋊#168	—	2	1	no	—
105	C₃×#168	—	2	1	no	—
106	C₅×C₃⋊C₈	—	2	1	no	—
107	C₂²×C₃×C₈	—	5	1	no	—
108	C₂²×C₃×C₈	—	5	1	no	—
109	C₂×C₃×C₄²	—	5	1	no	—
110	C₂×C₄×Dic₃	—	5	1	no	—
111	C₂×C₄×Dic₃	—	5	1	no	—
112	C₂²×C₃⋊C₈	—	5	1	no	—
113	C₂²×C₃⋊C₈	—	5	1	no	—
114	C₃⋊#95	—	5	2	no	—
115	C₃⋊#95	—	5	2	no	—
116	#815	—	5	2	no	—
117	#815	—	5	2	no	—
118	C₈×Dic₃	—	5	1	no	—
119	C₈×Dic₃	—	5	1	no	—
120	C₈×Dic₃	—	5	1	no	—
121	C₈×Dic₃	AGL(1,𝔽₅)	1	1	yes	characteristic, complemented
122	C₂²×AGL(1,𝔽₅)	—	3	2	no	—
123	C₂²×AGL(1,𝔽₅)	C₄×D₃	1	2	yes	—
124	C₂×C₄×D₅	—	3	1	no	—
125	C₂×C₄×D₅	—	3	1	no	—
126	C₂×C₄×D₅	C₂²×D₃	1	1	yes	characteristic
127	C₂×#170	—	3	2	no	—
128	C₂×#170	C₄×D₃	1	2	yes	—
129	C₄×AGL(1,𝔽₅)	—	2	1	no	—
130	C₄×AGL(1,𝔽₅)	—	2	1	no	—
131	C₄×AGL(1,𝔽₅)	—	6	1	no	—
132	C₄×AGL(1,𝔽₅)	—	6	1	no	—
133	D₅⋊C₈	—	2	1	no	—
134	D₅⋊C₈	—	2	1	no	—
135	D₅⋊C₈	—	6	1	no	—
136	D₅⋊C₈	—	6	1	no	—
137	C₂×C₅×C₈	—	3	1	no	—
138	C₂×C₅×C₈	C₄×D₃	1	1	yes	characteristic
139	C₄²×C₅	—	3	1	no	—
140	C₄×Dic₅	—	3	1	no	—
141	C₄×Dic₅	—	3	1	no	—
142	C₄×Dic₅	—	3	1	no	—
143	C₂×#168	—	3	1	no	—
144	C₂×#168	C₄×D₃	1	1	yes	characteristic
145	C₈×D₅	—	2	1	no	—
146	C₈×D₅	—	2	1	no	—
147	C₈×D₅	—	6	1	no	—
148	C₈×D₅	—	6	1	no	—
149	C₂×#97	—	15	1	no	—
150	C₂×C₄×C₈	—	15	1	no	—
151	#376	—	15	1	no	—
152	#336	—	5	1	no	—
153	#336	—	15	1	no	—
154	#336	—	15	1	no	—
155	#336	—	15	1	no	—
156	C₂²×C₃×C₅	C₂×C₄²	1	1	yes	characteristic
157	C₂×C₃×D₅	#117	1	1	yes	characteristic
158	C₂×C₃×D₅	#117	1	1	yes	characteristic
159	C₂×C₃×D₅	#131	1	2	yes	—
160	C₂×C₃×D₅	#131	1	2	yes	—
161	ΓL(1,𝔽₁₆)	—	4	2	no	—
162	C₃×AGL(1,𝔽₅)	—	4	2	no	—
163	C₃×C₄×C₅	#117	1	1	yes	characteristic
164	C₃×C₄×C₅	#117	1	1	yes	characteristic
165	Dic₁₅	—	2	1	no	—
166	Dic₁₅	—	2	1	no	—
167	C₃×Dic₅	#117	1	1	yes	characteristic
168	C₃×Dic₅	#117	1	1	yes	characteristic
169	C₅×Dic₃	—	2	1	no	—
170	C₅×Dic₃	—	2	1	no	—
171	C₂²×C₃×C₄	—	5	1	no	—
172	C₂²×C₃×C₄	—	5	2	no	—
173	C₂²×Dic₃	—	5	1	no	—
174	C₂²×Dic₃	—	5	1	no	—
175	C₂²×Dic₃	—	5	2	no	—
176	C₂×C₃×C₈	—	5	2	no	—
177	C₂×C₃×C₈	—	5	1	no	—
178	C₂×C₃×C₈	—	10	1	no	—
179	C₂×C₃×C₈	—	10	1	no	—
180	C₂×C₃×C₈	—	10	1	no	—
181	C₂×C₃×C₈	—	10	1	no	—
182	C₂×C₃×C₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
183	C₃×C₄²	—	10	1	no	—
184	C₃×C₄²	—	10	1	no	—
185	C₄×Dic₃	—	5	1	no	—
186	C₄×Dic₃	—	5	1	no	—
187	C₄×Dic₃	—	5	1	no	—
188	C₄×Dic₃	—	10	1	no	—
189	C₄×Dic₃	—	10	1	no	—
190	C₄×Dic₃	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
191	C₂×C₃⋊C₈	—	5	2	no	—
192	C₂×C₃⋊C₈	—	5	1	no	—
193	C₂×C₃⋊C₈	—	10	1	no	—
194	C₂×C₃⋊C₈	—	10	1	no	—
195	C₂×C₃⋊C₈	—	10	1	no	—
196	C₂×C₃⋊C₈	—	10	1	no	—
197	C₂×C₃⋊C₈	C₂×AGL(1,𝔽₅)	1	1	yes	characteristic
198	C₂²×D₅	C₂×C₄×D₃	1	1	yes	characteristic
199	C₂×AGL(1,𝔽₅)	—	2	2	no	—
200	C₂×AGL(1,𝔽₅)	—	2	2	no	—
201	C₂×AGL(1,𝔽₅)	—	2	2	no	—
202	C₂×AGL(1,𝔽₅)	—	6	2	no	—
203	C₂×AGL(1,𝔽₅)	—	6	2	no	—
204	C₂×AGL(1,𝔽₅)	—	6	2	no	—
205	C₂×C₄×C₅	—	3	1	no	—
206	C₂×C₄×C₅	—	3	1	no	—
207	C₂×C₄×C₅	C₂×C₄×D₃	1	1	yes	characteristic
208	C₂×Dic₅	—	3	1	no	—
209	C₂×Dic₅	—	3	1	no	—
210	C₂×Dic₅	C₂×C₄×D₃	1	1	yes	characteristic
211	C₄×D₅	—	6	2	no	—
212	C₄×D₅	—	6	2	no	—
213	C₄×D₅	#237	1	1	yes	characteristic
214	C₄×D₅	#237	1	1	yes	characteristic
215	C₄×D₅	#237	1	1	yes	characteristic
216	C₄×D₅	#239	1	1	yes	characteristic
217	#170	—	2	2	no	—
218	#170	—	6	2	no	—
219	C₅×C₈	—	2	1	no	—
220	C₅×C₈	—	6	1	no	—
221	#168	—	2	1	no	—
222	#168	—	6	1	no	—
223	C₂²×C₈	—	5	1	no	—
224	C₂²×C₈	—	5	1	no	—
225	C₂²×C₈	—	15	1	no	—
226	C₂²×C₈	—	15	1	no	—
227	C₂×C₄²	—	5	1	no	—
228	C₂×C₄²	—	15	1	no	—
229	C₂×C₄²	—	15	1	no	—
230	#97	—	15	2	no	—
231	#97	—	15	2	no	—
232	C₄×C₈	—	3	1	no	—
233	C₄×C₈	—	15	1	no	—
234	C₄×C₈	—	15	1	no	—
235	C₄×C₈	—	15	1	no	—
236	#95	—	15	2	no	—
237	#95	—	15	2	no	—
238	C₂×C₃×C₅	#376	1	1	yes	characteristic
239	C₂×C₃×C₅	#405	1	1	yes	characteristic
240	C₂×C₃×C₅	#405	1	1	yes	characteristic
241	C₃×D₅	#433	1	2	yes	—
242	C₃×D₅	#433	1	2	yes	—
243	C₂³×C₃	—	5	1	no	—
244	C₂×C₃×C₄	—	5	1	no	—
245	C₂×C₃×C₄	—	5	1	no	—
246	C₂×C₃×C₄	—	5	1	no	—
247	C₂×C₃×C₄	—	5	1	no	—
248	C₂×C₃×C₄	—	5	1	no	—
249	C₂×C₃×C₄	—	10	2	no	—
250	C₂×C₃×C₄	—	10	2	no	—
251	C₂×C₃×C₄	—	10	2	no	—
252	C₂×C₃×C₄	C₂²×AGL(1,𝔽₅)	1	1	yes	characteristic
253	C₂×Dic₃	—	5	1	no	—
254	C₂×Dic₃	—	5	1	no	—
255	C₂×Dic₃	—	10	2	no	—
256	C₂×Dic₃	—	10	2	no	—
257	C₂×Dic₃	—	10	2	no	—
258	C₂×Dic₃	—	10	2	no	—
259	C₂×Dic₃	—	10	2	no	—
260	C₂×Dic₃	C₄×AGL(1,𝔽₅)	1	1	yes	characteristic
261	C₂×Dic₃	C₄×AGL(1,𝔽₅)	1	1	yes	characteristic
262	C₃×C₈	—	2	1	no	—
263	C₃×C₈	—	10	2	no	—
264	C₃×C₈	—	10	1	no	—
265	C₃⋊C₈	—	2	1	no	—
266	C₃⋊C₈	—	10	2	no	—
267	C₃⋊C₈	—	10	1	no	—
268	C₂²×C₅	C₄²×D₃	1	1	yes	characteristic
269	C₂×D₅	#877	1	1	yes	characteristic
270	C₂×D₅	#892	1	1	yes	characteristic
271	C₂×D₅	#901	1	2	yes	—
272	C₂×D₅	#907	1	2	yes	—
273	AGL(1,𝔽₅)	—	4	2	no	—
274	AGL(1,𝔽₅)	—	12	2	no	—
275	C₄×C₅	—	6	1	no	—
276	C₄×C₅	—	6	1	no	—
277	C₄×C₅	#877	1	1	yes	characteristic
278	C₄×C₅	#892	1	1	yes	characteristic
279	Dic₅	—	6	1	no	—
280	Dic₅	—	6	1	no	—
281	Dic₅	#877	1	1	yes	characteristic
282	Dic₅	#892	1	1	yes	characteristic
283	C₂²×C₄	—	5	1	no	—
284	C₂²×C₄	—	5	2	no	—
285	C₂²×C₄	—	15	1	no	—
286	C₂²×C₄	—	15	1	no	—
287	C₂²×C₄	—	15	2	no	—
288	C₂×C₈	—	3	1	no	—
289	C₂×C₈	—	5	2	no	—
290	C₂×C₈	—	5	1	no	—
291	C₂×C₈	—	10	1	no	—
292	C₂×C₈	—	10	1	no	—
293	C₂×C₈	—	10	1	no	—
294	C₂×C₈	—	10	1	no	—
295	C₂×C₈	—	15	2	no	—
296	C₂×C₈	—	15	1	no	—
297	C₂×C₈	—	30	1	no	—
298	C₂×C₈	—	30	1	no	—
299	C₂×C₈	—	30	1	no	—
300	C₂×C₈	—	30	1	no	—
301	C₂×C₈	D₃×AGL(1,𝔽₅)	1	1	yes	characteristic
302	C₄²	—	3	1	no	—
303	C₄²	—	10	1	no	—
304	C₄²	—	10	1	no	—
305	C₄²	—	15	1	no	—
306	C₄²	—	15	1	no	—
307	C₄²	—	15	1	no	—
308	C₄²	—	30	1	no	—
309	C₄²	—	30	1	no	—
310	C₃×C₅	#1746	1	1	yes	characteristic, complemented, Hall
311	C₂²×C₃	—	5	1	no	—
312	C₂²×C₃	—	5	1	no	—
313	C₂²×C₃	—	5	2	no	—
314	C₂²×C₃	—	5	2	no	—
315	C₂²×C₃	C₂×C₄×AGL(1,𝔽₅)	1	1	yes	characteristic
316	C₃×C₄	—	5	1	no	—
317	C₃×C₄	—	5	1	no	—
318	C₃×C₄	—	20	2	no	—
319	C₃×C₄	#4130	1	1	yes	characteristic
320	C₃×C₄	#4130	1	1	yes	characteristic
321	Dic₃	—	2	1	no	—
322	Dic₃	—	2	1	no	—
323	Dic₃	—	10	1	no	—
324	Dic₃	—	10	1	no	—
325	Dic₃	—	20	2	no	—
326	C₂×C₅	#4648	1	1	yes	characteristic
327	C₂×C₅	#4689	1	1	yes	characteristic
328	C₂×C₅	#4708	1	1	yes	characteristic
329	D₅	#4720	1	2	yes	—
330	D₅	#4840	1	2	yes	—
331	C₂³	—	5	1	no	—
332	C₂×C₄	—	3	1	no	—
333	C₂×C₄	—	3	1	no	—
334	C₂×C₄	—	5	1	no	—
335	C₂×C₄	—	5	1	no	—
336	C₂×C₄	—	5	1	no	—
337	C₂×C₄	—	5	1	no	—
338	C₂×C₄	—	5	1	no	—
339	C₂×C₄	—	10	2	no	—
340	C₂×C₄	—	10	2	no	—
341	C₂×C₄	—	10	2	no	—
342	C₂×C₄	—	15	1	no	—
343	C₂×C₄	—	15	1	no	—
344	C₂×C₄	—	30	2	no	—
345	C₂×C₄	—	30	2	no	—
346	C₂×C₄	—	30	2	no	—
347	C₂×C₄	—	30	2	no	—
348	C₂×C₄	—	30	2	no	—
349	C₂×C₄	C₂×D₃×AGL(1,𝔽₅)	1	1	yes	characteristic
350	C₈	—	2	1	no	—
351	C₈	—	6	1	no	—
352	C₈	—	10	2	no	—
353	C₈	—	10	1	no	—
354	C₈	—	30	2	no	—
355	C₈	—	30	1	no	—
356	C₂×C₃	—	5	2	no	—
357	C₂×C₃	—	5	2	no	—
358	C₂×C₃	#65686	1	1	yes	characteristic
359	C₂×C₃	#65718	1	1	yes	characteristic
360	C₂×C₃	#65718	1	1	yes	characteristic
361	C₅	#68598	1	1	yes	characteristic, complemented, Sylow
362	C₂²	—	5	1	no	—
363	C₂²	—	5	1	no	—
364	C₂²	—	5	2	no	—
365	C₂²	—	5	2	no	—
366	C₂²	C₄×D₃×AGL(1,𝔽₅)	1	1	yes	characteristic
367	C₄	—	5	1	no	—
368	C₄	—	5	1	no	—
369	C₄	—	6	1	no	—
370	C₄	—	6	1	no	—
371	C₄	—	20	2	no	—
372	C₄	—	30	1	no	—
373	C₄	—	30	1	no	—
374	C₄	—	60	2	no	—
375	C₄	#91907	1	1	yes	characteristic
376	C₄	#91923	1	1	yes	characteristic
377	C₃	#10603840	1	1	yes	characteristic, complemented, Sylow
378	C₂	—	5	2	no	—
379	C₂	—	5	2	no	—
380	C₂	#11751655	1	1	yes	characteristic
381	C₂	#11751656	1	1	yes	characteristic
382	C₂	#11751832	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂×D₃×AGL(1,𝔽₅)
commutator, socle	C₂²×C₃×C₅	C₂×C₄²
Fitting	C₂×C₃×C₅×C₈	C₂×C₄
prime radical	C₂²×C₃×D₅	C₂²×C₄
cosocle	C₂×C₃×C₄×D₅	C₂³
hypercenter	C₂×C₈	D₃×AGL(1,𝔽₅)
hypocenter	C₃×C₅	#1746
LCS	G ▷ C₂²×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₈

Complements

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

N	H ≅ G/N	type
16. #91169	C₄	semidirect
17. #91169	C₄	semidirect
20. C₈×Dic₁₅	C₄	semidirect
21. C₅×C₈×Dic₃	C₄	semidirect
22. #90951	C₄	semidirect
23. Dic₃×#168	C₄	semidirect
121. C₈×Dic₃	AGL(1,𝔽₅)	semidirect
310. C₃×C₅	#1746	semidirect
361. C₅	#68598	semidirect
377. C₃	#10603840	semidirect

Maximal subgroups

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

subgroup	index
#11751788	2
#11751748	2
C₈×D₅×Dic₃	2
#11746763	2
C₃×(C₂×AGL(1,𝔽₅))⋊C₈	2
#11746517	2
(C₂×AGL(1,𝔽₅))⋊(C₃⋊C₈)	2
#10603840	3
#68598	5