Subgroups — D₃×#6487 #13059525

Order 1344.

644 conjugacy classes of subgroups.

The subgroup lattice has 352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₄×D₃×C₇	C₂	1	1	yes	maximal, characteristic
2	C₂×D₃×Dic₁₄	C₂	1	1	yes	maximal, characteristic, complemented
3	#10621407	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#6487	C₂	1	1	yes	maximal, characteristic, complemented
5	#10621137	C₂	1	2	yes	maximal, complemented
6	D₃×C₂²⋊Dic₇	C₂	1	2	yes	maximal
7	D₃×C₄⋊Dic₇	C₂	1	1	yes	maximal, characteristic, complemented
8	D₃×Dic₇⋊C₄	C₂	1	2	yes	maximal, complemented
9	#10620931	C₂	1	1	yes	maximal, characteristic, complemented
10	#10620927	C₂	1	1	yes	maximal, characteristic, complemented
11	#10620914	C₂	1	2	yes	maximal, complemented
12	C₂×#6487	—	3	1	no	maximal, Hall
13	C₂³×D₃×C₇	C₂²	1	1	yes	characteristic
14	C₂²×C₃×C₄×C₇	C₂²	1	1	yes	characteristic
15	C₂×Dic₄₂	C₂²	1	1	yes	characteristic, complemented
16	C₂²×C₇×Dic₃	C₂²	1	1	yes	characteristic
17	C₂×C₄×D₃×C₇	—	2	4	no	—
18	C₂×C₄×D₃×C₇	C₂²	1	1	yes	characteristic
19	C₂×C₄×D₃×C₇	C₂²	1	1	yes	characteristic
20	C₂×C₄×D₃×C₇	C₂²	1	1	yes	characteristic
21	C₂×C₄×D₃×C₇	C₂²	1	1	yes	characteristic
22	C₂×C₃×Dic₁₄	C₂²	1	1	yes	characteristic, complemented
23	C₂×#4248	C₂²	1	2	yes	complemented
24	C₂×D₃×Dic₇	C₂²	1	2	yes	—
25	C₂×D₃×Dic₇	C₂²	1	2	yes	—
26	D₃×Dic₁₄	—	2	4	no	—
27	#66636	C₂²	1	2	yes	—
28	C₄⋊Dic₂₁	C₂²	1	1	yes	characteristic, complemented
29	#66629	C₂²	1	2	yes	complemented
30	C₃×C₂²⋊Dic₇	C₂²	1	2	yes	—
31	C₃×C₄⋊Dic₇	C₂²	1	1	yes	characteristic, complemented
32	C₃×Dic₇⋊C₄	C₂²	1	2	yes	complemented
33	Dic₃⋊Dic₇	C₂²	1	2	yes	complemented
34	#66577	C₂²	1	2	yes	complemented
35	Dic₇⋊Dic₃	C₂²	1	2	yes	complemented
36	(C₂×D₃)⋊Dic₇	C₂²	1	2	yes	—
37	(C₂×D₃)⋊Dic₇	C₂²	1	2	yes	—
38	C₂³×C₄×C₇	—	3	1	no	—
39	C₂²×Dic₁₄	—	3	1	no	—
40	C₂×C₂²⋊Dic₇	—	3	2	no	—
41	C₂×C₄⋊Dic₇	—	3	1	no	—
42	#6487	—	3	1	no	—
43	#6487	—	3	1	no	—
44	#6487	—	3	2	no	—
45	#6487	—	3	1	no	—
46	#6487	—	3	2	no	—
47	#6487	D₃	1	1	yes	characteristic, direct product factor
48	C₂×Dic₇⋊C₄	—	3	2	no	—
49	D₃×C₂²⋊Q₈	—	7	1	no	maximal, Hall
50	C₂³×C₃×C₇	C₂³	1	1	yes	characteristic
51	C₂²×D₃×C₇	—	2	2	no	—
52	C₂²×D₃×C₇	—	2	2	no	—
53	C₂²×D₃×C₇	Q₈	1	4	yes	complemented
54	C₂²×D₃×C₇	C₂³	1	1	yes	characteristic
55	C₂²×D₃×C₇	C₂³	1	1	yes	characteristic
56	C₂×C₃×C₄×C₇	—	2	2	no	—
57	C₂×C₃×C₄×C₇	C₂³	1	1	yes	characteristic
58	C₂×C₃×C₄×C₇	C₂³	1	1	yes	characteristic
59	C₂×Dic₂₁	C₂³	1	2	yes	—
60	C₂×Dic₂₁	C₂³	1	2	yes	—
61	Dic₄₂	—	2	2	no	—
62	C₂×C₇×Dic₃	—	2	2	no	—
63	C₂×C₇×Dic₃	C₂³	1	1	yes	characteristic
64	C₂×C₇×Dic₃	C₂³	1	1	yes	characteristic
65	C₄×D₃×C₇	—	2	2	no	—
66	C₄×D₃×C₇	—	2	2	no	—
67	C₄×D₃×C₇	—	2	2	no	—
68	C₄×D₃×C₇	D₄	1	4	yes	—
69	C₂×C₃×Dic₇	C₂³	1	2	yes	—
70	C₂×C₃×Dic₇	C₂³	1	2	yes	—
71	C₃×Dic₁₄	—	2	2	no	—
72	#4248	—	2	4	no	—
73	D₃×Dic₇	—	2	4	no	—
74	D₃×Dic₇	—	2	4	no	—
75	C₂⁴×C₇	—	3	1	no	—
76	C₂²×C₄×C₇	—	3	1	no	—
77	C₂²×C₄×C₇	—	3	1	no	—
78	C₂²×C₄×C₇	—	3	1	no	—
79	C₂²×C₄×C₇	—	3	1	no	—
80	C₂²×C₄×C₇	—	3	1	no	—
81	C₂²×C₄×C₇	—	6	4	no	—
82	C₂²×C₄×C₇	C₂×D₃	1	1	yes	characteristic
83	C₂²×Dic₇	—	3	2	no	—
84	C₂²×Dic₇	—	3	2	no	—
85	C₂×Dic₁₄	—	3	1	no	—
86	C₂×Dic₁₄	—	3	2	no	—
87	C₂×Dic₁₄	—	6	4	no	—
88	C₂×Dic₁₄	C₂×D₃	1	1	yes	characteristic, complemented
89	C₂²⋊Dic₇	—	3	2	no	—
90	C₂²⋊Dic₇	—	3	2	no	—
91	C₂²⋊Dic₇	—	3	2	no	—
92	C₂²⋊Dic₇	C₂×D₃	1	2	yes	—
93	C₄⋊Dic₇	—	3	1	no	—
94	C₄⋊Dic₇	—	3	2	no	—
95	C₄⋊Dic₇	C₂×D₃	1	1	yes	characteristic, complemented
96	Dic₇⋊C₄	—	3	2	no	—
97	Dic₇⋊C₄	—	3	2	no	—
98	Dic₇⋊C₄	—	3	2	no	—
99	Dic₇⋊C₄	C₂×D₃	1	2	yes	complemented
100	C₂×D₃×Q₈	—	7	1	no	—
101	C₂²×C₄×D₃	D₇	1	1	yes	characteristic
102	C₃×C₂²⋊Q₈	—	7	1	no	—
103	#946	—	7	1	no	—
104	#924	—	7	1	no	—
105	#897	—	7	1	no	—
106	#896	—	7	2	no	—
107	D₃×C₄⋊C₄	—	7	2	no	—
108	D₃×C₄⋊C₄	—	7	1	no	—
109	D₃×C₂²⋊C₄	—	7	2	no	—
110	#878	—	7	2	no	—
111	C₂²×C₃×C₇	—	2	1	no	—
112	C₂²×C₃×C₇	—	2	1	no	—
113	C₂²×C₃×C₇	C₂×Q₈	1	2	yes	complemented
114	C₂²×C₃×C₇	C₂⁴	1	1	yes	characteristic
115	C₂×D₃×C₇	—	2	1	no	—
116	C₂×D₃×C₇	—	2	1	no	—
117	C₂×D₃×C₇	—	2	8	no	—
118	C₂×D₃×C₇	C₂×D₄	1	2	yes	—
119	C₂×D₃×C₇	C₂×Q₈	1	2	yes	—
120	C₂×D₃×C₇	C₂×Q₈	1	2	yes	complemented
121	C₂×D₃×C₇	#41	1	2	yes	—
122	C₃×C₄×C₇	—	2	1	no	—
123	C₃×C₄×C₇	C₂×D₄	1	2	yes	—
124	Dic₂₁	—	2	2	no	—
125	Dic₂₁	—	2	2	no	—
126	C₃×Dic₇	—	2	2	no	—
127	C₃×Dic₇	—	2	2	no	—
128	C₇×Dic₃	—	2	1	no	—
129	C₇×Dic₃	C₂×D₄	1	2	yes	—
130	C₂×C₂²⋊Q₈	—	21	1	no	Sylow
131	C₂³×C₇	—	3	1	no	—
132	C₂³×C₇	—	3	4	no	—
133	C₂³×C₇	—	3	1	no	—
134	C₂³×C₇	—	6	2	no	—
135	C₂³×C₇	—	6	2	no	—
136	C₂³×C₇	C₂²×D₃	1	1	yes	characteristic
137	C₂×C₄×C₇	—	2	2	no	—
138	C₂×C₄×C₇	—	3	1	no	—
139	C₂×C₄×C₇	—	3	4	no	—
140	C₂×C₄×C₇	—	3	1	no	—
141	C₂×C₄×C₇	—	6	2	no	—
142	C₂×C₄×C₇	—	6	2	no	—
143	C₂×C₄×C₇	—	6	2	no	—
144	C₂×C₄×C₇	—	6	2	no	—
145	C₂×C₄×C₇	C₂²×D₃	1	1	yes	characteristic
146	C₂×C₄×C₇	C₂²×D₃	1	1	yes	characteristic
147	C₂×Dic₇	—	3	2	no	—
148	C₂×Dic₇	—	3	2	no	—
149	C₂×Dic₇	—	6	4	no	—
150	C₂×Dic₇	—	6	4	no	—
151	C₂×Dic₇	C₂²×D₃	1	2	yes	—
152	C₂×Dic₇	C₂²×D₃	1	2	yes	—
153	Dic₁₄	—	2	2	no	—
154	Dic₁₄	—	6	4	no	—
155	Dic₁₄	—	6	2	no	—
156	C₂³×D₃	C₂×D₇	1	1	yes	characteristic
157	C₂×C₃×Q₈	—	7	1	no	—
158	C₂²×C₃×C₄	C₂×D₇	1	1	yes	characteristic
159	C₂²×Dic₃	C₂×D₇	1	1	yes	characteristic
160	D₃×Q₈	—	14	4	no	—
161	C₂×C₄×D₃	—	2	4	no	—
162	C₂×C₄×D₃	—	7	2	no	—
163	C₂×C₄×D₃	—	7	2	no	—
164	C₂×C₄×D₃	C₂×D₇	1	1	yes	characteristic
165	C₂×C₄×D₃	C₂×D₇	1	1	yes	characteristic
166	C₂×C₄×D₃	C₂×D₇	1	1	yes	characteristic
167	C₂×C₄×D₃	C₂×D₇	1	1	yes	characteristic
168	C₂×Dic₆	—	7	1	no	—
169	C₂×Dic₆	—	7	2	no	—
170	C₃×C₄⋊C₄	—	7	2	no	—
171	C₃×C₄⋊C₄	—	7	1	no	—
172	C₃×C₂²⋊C₄	—	7	2	no	—
173	#217	—	7	2	no	—
174	(C₂×D₃)⋊C₄	—	7	2	no	—
175	(C₂×D₃)⋊C₄	—	7	2	no	—
176	C₄⋊Dic₃	—	7	1	no	—
177	C₄⋊Dic₃	—	7	2	no	—
178	Dic₃⋊C₄	—	7	2	no	—
179	Dic₃⋊C₄	—	7	2	no	—
180	Dic₃⋊C₄	—	7	2	no	—
181	C₂×C₃×C₇	—	2	2	no	—
182	C₂×C₃×C₇	C₂²×D₄	1	1	yes	characteristic
183	C₂×C₃×C₇	C₂²×Q₈	1	1	yes	characteristic
184	C₂×C₃×C₇	C₂×#41	1	1	yes	characteristic
185	D₃×C₇	—	2	2	no	—
186	D₃×C₇	C₂²⋊Q₈	1	4	yes	complemented
187	C₂²×Q₈	—	21	1	no	—
188	C₂³×C₄	—	3	1	no	—
189	C₂²⋊Q₈	—	7	1	no	—
190	C₂²⋊Q₈	—	21	2	no	—
191	C₂²⋊Q₈	—	21	2	no	—
192	C₂²⋊Q₈	—	21	1	no	—
193	C₂²⋊Q₈	—	21	1	no	—
194	C₂²⋊Q₈	—	21	1	no	—
195	C₂×C₄⋊C₄	—	21	2	no	—
196	C₂×C₄⋊C₄	—	21	1	no	—
197	C₂×C₂²⋊C₄	—	21	2	no	—
198	C₂²×C₇	—	2	1	no	—
199	C₂²×C₇	—	2	1	no	—
200	C₂²×C₇	—	3	2	no	—
201	C₂²×C₇	—	3	2	no	—
202	C₂²×C₇	—	3	2	no	—
203	C₂²×C₇	—	3	2	no	—
204	C₂²×C₇	—	6	8	no	—
205	C₂²×C₇	—	6	1	no	—
206	C₂²×C₇	—	6	1	no	—
207	C₂²×C₇	D₃×Q₈	1	2	yes	complemented
208	C₂²×C₇	C₂³×D₃	1	1	yes	characteristic
209	C₄×C₇	—	2	1	no	—
210	C₄×C₇	—	3	2	no	—
211	C₄×C₇	—	6	1	no	—
212	C₄×C₇	D₃×D₄	1	2	yes	—
213	Dic₇	—	2	2	no	—
214	Dic₇	—	2	2	no	—
215	Dic₇	—	6	2	no	—
216	Dic₇	—	6	2	no	—
217	C₂³×C₃	C₂²×D₇	1	1	yes	characteristic
218	C₂²×D₃	—	2	2	no	—
219	C₂²×D₃	—	2	2	no	—
220	C₂²×D₃	Dic₁₄	1	4	yes	complemented
221	C₂²×D₃	C₂²×D₇	1	1	yes	characteristic
222	C₂²×D₃	C₂²×D₇	1	1	yes	characteristic
223	C₃×Q₈	—	14	2	no	—
224	C₂×C₃×C₄	—	2	2	no	—
225	C₂×C₃×C₄	—	7	2	no	—
226	C₂×C₃×C₄	—	7	2	no	—
227	C₂×C₃×C₄	C₂²×D₇	1	1	yes	characteristic
228	C₂×C₃×C₄	C₂²×D₇	1	1	yes	characteristic
229	C₂×Dic₃	—	2	2	no	—
230	C₂×Dic₃	—	7	2	no	—
231	C₂×Dic₃	—	7	2	no	—
232	C₂×Dic₃	C₂²×D₇	1	1	yes	characteristic
233	C₂×Dic₃	C₂²×D₇	1	1	yes	characteristic
234	C₄×D₃	—	2	2	no	—
235	C₄×D₃	—	2	2	no	—
236	C₄×D₃	—	2	2	no	—
237	C₄×D₃	—	14	4	no	—
238	C₄×D₃	—	14	4	no	—
239	C₄×D₃	C₂²⋊D₇	1	4	yes	—
240	Dic₆	—	14	2	no	—
241	Dic₆	—	14	4	no	—
242	C₃×C₇	C₂×C₂²⋊Q₈	1	1	yes	characteristic, complemented, Hall
243	C₂⁴	—	3	1	no	—
244	C₂×Q₈	—	7	1	no	—
245	C₂×Q₈	—	21	2	no	—
246	C₂×Q₈	—	21	1	no	—
247	C₂×Q₈	—	42	4	no	—
248	C₂²×C₄	—	3	1	no	—
249	C₂²×C₄	—	3	1	no	—
250	C₂²×C₄	—	3	1	no	—
251	C₂²×C₄	—	3	1	no	—
252	C₂²×C₄	—	3	1	no	—
253	C₂²×C₄	—	6	4	no	—
254	C₂²×C₄	—	21	2	no	—
255	C₂²×C₄	—	21	2	no	—
256	C₂²×C₄	D₃×D₇	1	1	yes	characteristic
257	C₄⋊C₄	—	7	2	no	—
258	C₄⋊C₄	—	7	1	no	—
259	C₄⋊C₄	—	21	2	no	—
260	C₄⋊C₄	—	21	2	no	—
261	C₄⋊C₄	—	21	2	no	—
262	C₄⋊C₄	—	21	2	no	—
263	C₄⋊C₄	—	21	1	no	—
264	C₂²⋊C₄	—	7	2	no	—
265	C₂²⋊C₄	—	21	2	no	—
266	C₂²⋊C₄	—	21	2	no	—
267	C₂²⋊C₄	—	21	2	no	—
268	C₂×C₇	—	2	2	no	—
269	C₂×C₇	—	3	4	no	—
270	C₂×C₇	—	6	2	no	—
271	C₂×C₇	C₂×D₃×D₄	1	1	yes	characteristic
272	C₂×C₇	C₂×D₃×Q₈	1	1	yes	characteristic
273	C₂×C₇	D₃×#41	1	1	yes	characteristic
274	C₂²×C₃	—	2	1	no	—
275	C₂²×C₃	—	2	1	no	—
276	C₂²×C₃	C₂×Dic₁₄	1	2	yes	complemented
277	C₂²×C₃	C₂³×D₇	1	1	yes	characteristic
278	C₂×D₃	—	2	1	no	—
279	C₂×D₃	—	2	1	no	—
280	C₂×D₃	—	2	8	no	—
281	C₂×D₃	C₂×Dic₁₄	1	2	yes	—
282	C₂×D₃	C₂×Dic₁₄	1	2	yes	complemented
283	C₂×D₃	#1157	1	2	yes	—
284	C₂×D₃	C₂×C₂²⋊D₇	1	2	yes	—
285	C₃×C₄	—	2	1	no	—
286	C₃×C₄	—	14	2	no	—
287	C₃×C₄	—	14	2	no	—
288	C₃×C₄	C₂×C₂²⋊D₇	1	2	yes	—
289	Dic₃	—	2	1	no	—
290	Dic₃	—	14	2	no	—
291	Dic₃	—	14	2	no	—
292	Dic₃	C₂×C₂²⋊D₇	1	2	yes	—
293	C₂³	—	3	1	no	—
294	C₂³	—	3	4	no	—
295	C₂³	—	3	1	no	—
296	C₂³	—	6	2	no	—
297	C₂³	—	6	2	no	—
298	C₂³	C₂×D₃×D₇	1	1	yes	characteristic
299	Q₈	—	14	2	no	—
300	Q₈	—	42	4	no	—
301	Q₈	—	42	2	no	—
302	C₂×C₄	—	2	2	no	—
303	C₂×C₄	—	3	1	no	—
304	C₂×C₄	—	3	4	no	—
305	C₂×C₄	—	3	1	no	—
306	C₂×C₄	—	6	2	no	—
307	C₂×C₄	—	6	2	no	—
308	C₂×C₄	—	6	2	no	—
309	C₂×C₄	—	6	2	no	—
310	C₂×C₄	—	7	2	no	—
311	C₂×C₄	—	7	2	no	—
312	C₂×C₄	—	21	2	no	—
313	C₂×C₄	—	21	2	no	—
314	C₂×C₄	—	42	4	no	—
315	C₂×C₄	—	42	4	no	—
316	C₂×C₄	C₂×D₃×D₇	1	1	yes	characteristic
317	C₂×C₄	C₂×D₃×D₇	1	1	yes	characteristic
318	C₇	D₃×C₂²⋊Q₈	1	1	yes	characteristic, complemented, Sylow
319	C₂×C₃	—	2	2	no	—
320	C₂×C₃	C₂²×Dic₁₄	1	1	yes	characteristic
321	C₂×C₃	C₂×#1157	1	1	yes	characteristic
322	C₂×C₃	C₂²×C₂²⋊D₇	1	1	yes	characteristic
323	D₃	—	2	2	no	—
324	D₃	#6487	1	4	yes	direct product factor
325	C₂²	—	2	1	no	—
326	C₂²	—	2	1	no	—
327	C₂²	—	3	2	no	—
328	C₂²	—	3	2	no	—
329	C₂²	—	3	2	no	—
330	C₂²	—	3	2	no	—
331	C₂²	—	6	8	no	—
332	C₂²	—	6	1	no	—
333	C₂²	—	6	1	no	—
334	C₂²	D₃×Dic₁₄	1	2	yes	complemented
335	C₂²	C₂²×D₃×D₇	1	1	yes	characteristic
336	C₄	—	2	1	no	—
337	C₄	—	3	2	no	—
338	C₄	—	6	1	no	—
339	C₄	—	14	2	no	—
340	C₄	—	14	2	no	—
341	C₄	—	42	2	no	—
342	C₄	—	42	2	no	—
343	C₄	D₃×C₂²⋊D₇	1	2	yes	—
344	C₃	C₂×#6487	1	1	yes	characteristic, complemented, Sylow
345	C₂	—	2	2	no	—
346	C₂	—	3	4	no	—
347	C₂	—	6	2	no	—
348	C₂	C₂×D₃×Dic₁₄	1	1	yes	characteristic
349	C₂	D₃×#1157	1	1	yes	characteristic
350	C₂	C₂×D₃×C₂²⋊D₇	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂²×D₃×D₇
commutator, socle, cosocle	C₂²×C₃×C₇	C₂⁴
Fitting	C₂²×C₃×C₄×C₇	C₂²
prime radical	C₂³×D₃×C₇	C₂²
hypercenter	C₂²×C₄	D₃×D₇
hypocenter	C₃×C₇	C₂×C₂²⋊Q₈
LCS	G ▷ C₂²×C₃×C₇ ▷ C₃×C₇
UCS	C₁ ◁ C₂² ◁ C₂²×C₄

Complements

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

N	H ≅ G/N	type
2. C₂×D₃×Dic₁₄	C₂	semidirect
3. #10621407	C₂	semidirect
4. C₃×#6487	C₂	semidirect
5. #10621137	C₂	semidirect
7. D₃×C₄⋊Dic₇	C₂	semidirect
8. D₃×Dic₇⋊C₄	C₂	semidirect
9. #10620931	C₂	semidirect
10. #10620927	C₂	semidirect
11. #10620914	C₂	semidirect
15. C₂×Dic₄₂	C₂²	semidirect
22. C₂×C₃×Dic₁₄	C₂²	semidirect
23. C₂×#4248	C₂²	semidirect
28. C₄⋊Dic₂₁	C₂²	semidirect
29. #66629	C₂²	semidirect
31. C₃×C₄⋊Dic₇	C₂²	semidirect
32. C₃×Dic₇⋊C₄	C₂²	semidirect
33. Dic₃⋊Dic₇	C₂²	semidirect
34. #66577	C₂²	semidirect
35. Dic₇⋊Dic₃	C₂²	semidirect
47. #6487	D₃	direct (N × H)
53. C₂²×D₃×C₇	Q₈	semidirect
88. C₂×Dic₁₄	C₂×D₃	semidirect
95. C₄⋊Dic₇	C₂×D₃	semidirect
99. Dic₇⋊C₄	C₂×D₃	semidirect
113. C₂²×C₃×C₇	C₂×Q₈	semidirect
120. C₂×D₃×C₇	C₂×Q₈	semidirect
186. D₃×C₇	C₂²⋊Q₈	semidirect
207. C₂²×C₇	D₃×Q₈	semidirect
220. C₂²×D₃	Dic₁₄	semidirect
242. C₃×C₇	C₂×C₂²⋊Q₈	semidirect
276. C₂²×C₃	C₂×Dic₁₄	semidirect
282. C₂×D₃	C₂×Dic₁₄	semidirect
318. C₇	D₃×C₂²⋊Q₈	semidirect
324. D₃	#6487	direct (N × H)
334. C₂²	D₃×Dic₁₄	semidirect
344. C₃	C₂×#6487	semidirect

Maximal subgroups

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

subgroup	index
C₂²×C₄×D₃×C₇	2
C₂×D₃×Dic₁₄	2
#10621407	2
C₃×#6487	2
#10621137	2
D₃×C₂²⋊Dic₇	2
D₃×C₄⋊Dic₇	2
D₃×Dic₇⋊C₄	2
#10620931	2
#10620927	2
#10620914	2
C₂×#6487	3
D₃×C₂²⋊Q₈	7

Subgroups — D3×#6487 #13059525

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₃×#6487 #13059525