Subgroups — C₃×C₄×Q₈×D₉ #13152677

Order 1728.

964 conjugacy classes of subgroups.

The subgroup lattice has 320 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×Q₈×D₉	C₂	1	1	yes	maximal, characteristic
2	C₃×C₄×Q₈×C₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×Q₈×Dic₉	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×C₄⋊C₄×D₉	C₂	1	3	yes	maximal
5	C₃×#63449	C₂	1	3	yes	maximal, complemented
6	C₃×C₄²×D₉	C₂	1	3	yes	maximal
7	C₃×C₄×Dic₁₈	C₂	1	3	yes	maximal, complemented
8	C₃×C₄×D₃×Q₈	—	3	1	no	maximal
9	C₄×Q₈×D₉	C₃	1	1	yes	maximal, characteristic, direct product factor
10	C₂×C₃×Q₈×C₉	C₂²	1	1	yes	characteristic
11	C₃×Q₈×D₉	C₄	1	8	yes	direct product factor
12	C₂×C₃×C₄×D₉	C₂²	1	3	yes	—
13	C₂×C₃×C₄×D₉	C₂²	1	3	yes	—
14	C₂×C₃×C₄×D₉	C₂²	1	1	yes	characteristic
15	C₂×C₃×Dic₁₈	C₂²	1	3	yes	—
16	C₃×C₉×C₄⋊C₄	C₂²	1	3	yes	—
17	C₃×C₄²×C₉	C₂²	1	3	yes	—
18	C₃×C₄⋊Dic₉	C₂²	1	3	yes	—
19	C₃×Dic₉⋊C₄	C₂²	1	6	yes	—
20	C₃×C₄×Dic₉	C₂²	1	3	yes	—
21	C₃×C₄×Dic₉	C₂²	1	3	yes	—
22	C₃×C₄×Dic₉	C₂²	1	3	yes	—
23	C₂×C₃×D₃×Q₈	—	3	1	no	—
24	C₃²×C₄×Q₈	D₃	1	1	yes	characteristic
25	C₃×Q₈×Dic₃	—	3	1	no	—
26	C₃×D₃×C₄⋊C₄	—	3	3	no	—
27	C₃×#887	—	3	3	no	—
28	C₃×C₄²×D₃	—	3	3	no	—
29	C₃×C₄×Dic₆	—	3	3	no	—
30	C₂×Q₈×D₉	C₂×C₃	1	1	yes	characteristic
31	C₄×Q₈×C₉	—	2	1	no	—
32	C₄×Q₈×C₉	C₂×C₃	1	1	yes	characteristic, complemented
33	Q₈×Dic₉	C₂×C₃	1	1	yes	characteristic, complemented
34	C₄⋊C₄×D₉	C₂×C₃	1	3	yes	—
35	#63449	C₂×C₃	1	3	yes	complemented
36	C₄²×D₉	C₂×C₃	1	3	yes	—
37	C₄×Dic₁₈	C₂×C₃	1	3	yes	complemented
38	C₂²×C₃×D₉	C₂³	1	1	yes	characteristic
39	C₃×Q₈×C₉	C₂×C₄	1	4	yes	complemented
40	C₂×C₃×C₄×C₉	C₂³	1	3	yes	—
41	C₂×C₃×C₄×C₉	C₂³	1	3	yes	—
42	C₂×C₃×C₄×C₉	C₂³	1	1	yes	characteristic
43	C₂×C₃×Dic₉	C₂³	1	3	yes	—
44	C₂×C₃×Dic₉	C₂³	1	3	yes	—
45	C₂×C₃×Dic₉	C₂³	1	1	yes	characteristic
46	C₃×C₄×D₉	—	2	6	no	—
47	C₃×C₄×D₉	C₂×C₄	1	12	yes	—
48	C₃×C₄×D₉	Q₈	1	4	yes	direct product factor
49	C₃×Dic₁₈	C₂×C₄	1	12	yes	complemented
50	C₂×C₃×C₄×Q₈	—	9	1	no	—
51	C₄×D₃×Q₈	—	3	1	no	—
52	C₂×C₃²×Q₈	C₂×D₃	1	1	yes	characteristic
53	C₃×D₃×Q₈	—	3	8	no	—
54	C₂×C₃×C₄×D₃	—	3	3	no	—
55	C₂×C₃×C₄×D₃	—	3	1	no	—
56	C₂×C₃×C₄×D₃	—	3	3	no	—
57	C₂×C₃×Dic₆	—	3	3	no	—
58	C₃²×C₄⋊C₄	C₂×D₃	1	3	yes	—
59	C₃²×C₄²	C₂×D₃	1	3	yes	—
60	C₃×C₄⋊Dic₃	—	3	3	no	—
61	C₃×Dic₃⋊C₄	—	3	6	no	—
62	C₃×C₄×Dic₃	—	3	3	no	—
63	C₃×C₄×Dic₃	—	3	3	no	—
64	C₃×C₄×Dic₃	—	3	3	no	—
65	C₂×Q₈×C₉	—	2	1	no	—
66	C₂×Q₈×C₉	C₂²×C₃	1	1	yes	characteristic
67	Q₈×D₉	C₃×C₄	1	8	yes	direct product factor
68	C₂×C₄×D₉	C₂²×C₃	1	3	yes	—
69	C₂×C₄×D₉	C₂²×C₃	1	3	yes	—
70	C₂×C₄×D₉	C₂²×C₃	1	1	yes	characteristic
71	C₂×Dic₁₈	C₂²×C₃	1	3	yes	—
72	C₉×C₄⋊C₄	—	2	3	no	—
73	C₉×C₄⋊C₄	C₂²×C₃	1	3	yes	—
74	C₄²×C₉	—	2	3	no	—
75	C₄²×C₉	C₂²×C₃	1	3	yes	—
76	C₄⋊Dic₉	C₂²×C₃	1	3	yes	—
77	Dic₉⋊C₄	C₂²×C₃	1	6	yes	—
78	C₄×Dic₉	C₂²×C₃	1	3	yes	—
79	C₄×Dic₉	C₂²×C₃	1	3	yes	—
80	C₄×Dic₉	C₂²×C₃	1	3	yes	—
81	C₂²×C₃×C₉	C₂⁴	1	1	yes	characteristic
82	C₂×C₃×D₉	C₂²×C₄	1	2	yes	—
83	C₂×C₃×D₉	C₂×Q₈	1	2	yes	—
84	C₂×C₃×D₉	#41	1	2	yes	—
85	C₃×C₄×C₉	—	2	3	no	—
86	C₃×C₄×C₉	C₂²×C₄	1	6	yes	—
87	C₃×C₄×C₉	C₂×Q₈	1	2	yes	complemented
88	C₃×Dic₉	—	2	3	no	—
89	C₃×Dic₉	C₂²×C₄	1	6	yes	—
90	C₃×Dic₉	C₂×Q₈	1	2	yes	complemented
91	C₂²×C₃×Q₈	—	9	1	no	—
92	C₂×D₃×Q₈	—	3	1	no	—
93	C₃×C₄×Q₈	—	2	1	no	—
94	C₃×C₄×Q₈	—	9	1	no	—
95	C₃×C₄×Q₈	—	9	3	no	—
96	C₃×C₄×Q₈	—	9	3	no	—
97	C₃×C₄×Q₈	D₉	1	1	yes	characteristic, direct product factor
98	C₃×C₄×Q₈	C₃×D₃	1	1	yes	characteristic
99	C₂×C₃×C₄⋊C₄	—	9	3	no	—
100	C₂×C₃×C₄²	—	9	3	no	—
101	Q₈×Dic₃	—	3	1	no	—
102	D₃×C₄⋊C₄	—	3	3	no	—
103	#887	—	3	3	no	—
104	C₄²×D₃	—	3	3	no	—
105	C₄×Dic₆	—	3	3	no	—
106	C₂²×C₃×D₃	—	3	1	no	—
107	C₃²×Q₈	C₄×D₃	1	4	yes	—
108	C₂×C₃²×C₄	C₂²×D₃	1	3	yes	—
109	C₂×C₃²×C₄	C₂²×D₃	1	3	yes	—
110	C₂×C₃²×C₄	C₂²×D₃	1	1	yes	characteristic
111	C₂×C₃×Dic₃	—	3	1	no	—
112	C₂×C₃×Dic₃	—	3	3	no	—
113	C₂×C₃×Dic₃	—	3	3	no	—
114	C₃×C₄×D₃	—	3	12	no	—
115	C₃×C₄×D₃	—	3	4	no	—
116	C₃×C₄×D₃	—	6	6	no	—
117	C₃×Dic₆	—	3	12	no	—
118	C₂²×D₉	C₂³×C₃	1	1	yes	characteristic
119	Q₈×C₉	—	2	4	no	—
120	Q₈×C₉	C₂×C₃×C₄	1	4	yes	complemented
121	C₂×C₄×C₉	—	2	1	no	—
122	C₂×C₄×C₉	—	2	3	no	—
123	C₂×C₄×C₉	—	2	3	no	—
124	C₂×C₄×C₉	C₂³×C₃	1	3	yes	—
125	C₂×C₄×C₉	C₂³×C₃	1	3	yes	—
126	C₂×C₄×C₉	C₂³×C₃	1	1	yes	characteristic
127	C₂×Dic₉	C₂³×C₃	1	3	yes	—
128	C₂×Dic₉	C₂³×C₃	1	3	yes	—
129	C₂×Dic₉	C₂³×C₃	1	1	yes	characteristic
130	C₄×D₉	—	2	6	no	—
131	C₄×D₉	C₂×C₃×C₄	1	12	yes	—
132	C₄×D₉	C₃×Q₈	1	4	yes	direct product factor
133	Dic₁₈	C₂×C₃×C₄	1	12	yes	complemented
134	C₂×C₄×Q₈	—	9	1	no	Sylow
135	C₂×C₃×C₉	C₂³×C₄	1	1	yes	characteristic
136	C₂×C₃×C₉	C₂²×Q₈	1	1	yes	characteristic
137	C₂×C₃×C₉	C₂×#41	1	1	yes	characteristic
138	C₃×D₉	C₄×Q₈	1	4	yes	direct product factor
139	C₂×C₃×Q₈	—	2	1	no	—
140	C₂×C₃×Q₈	—	9	8	no	—
141	C₂×C₃×Q₈	—	9	3	no	—
142	C₂×C₃×Q₈	C₂×D₉	1	1	yes	characteristic
143	C₂×C₃×Q₈	C₂×C₃×D₃	1	1	yes	characteristic
144	C₂²×C₃×C₄	—	9	3	no	—
145	C₂²×C₃×C₄	—	9	1	no	—
146	C₂²×C₃×C₄	—	9	3	no	—
147	D₃×Q₈	—	3	8	no	—
148	C₂×C₄×D₃	—	3	1	no	—
149	C₂×C₄×D₃	—	3	3	no	—
150	C₂×C₄×D₃	—	3	3	no	—
151	C₂×Dic₆	—	3	3	no	—
152	C₃×C₄⋊C₄	—	2	3	no	—
153	C₃×C₄⋊C₄	—	9	6	no	—
154	C₃×C₄⋊C₄	—	9	3	no	—
155	C₃×C₄⋊C₄	C₂×D₉	1	3	yes	—
156	C₃×C₄⋊C₄	C₂×C₃×D₃	1	3	yes	—
157	C₃×C₄²	—	2	3	no	—
158	C₃×C₄²	—	9	3	no	—
159	C₃×C₄²	—	9	3	no	—
160	C₃×C₄²	—	9	3	no	—
161	C₃×C₄²	C₂×D₉	1	3	yes	—
162	C₃×C₄²	C₂×C₃×D₃	1	3	yes	—
163	C₄⋊Dic₃	—	3	3	no	—
164	Dic₃⋊C₄	—	3	6	no	—
165	C₄×Dic₃	—	3	3	no	—
166	C₄×Dic₃	—	3	3	no	—
167	C₄×Dic₃	—	3	3	no	—
168	C₂²×C₃²	C₂³×D₃	1	1	yes	characteristic
169	C₂×C₃×D₃	—	3	2	no	—
170	C₂×C₃×D₃	—	3	2	no	—
171	C₂×C₃×D₃	—	3	2	no	—
172	C₃²×C₄	—	2	3	no	—
173	C₃²×C₄	C₂×C₄×D₃	1	6	yes	—
174	C₃²×C₄	D₃×Q₈	1	2	yes	—
175	C₃×Dic₃	—	3	6	no	—
176	C₃×Dic₃	—	3	2	no	—
177	C₃×Dic₃	—	6	3	no	—
178	C₂²×C₉	—	2	1	no	—
179	C₂²×C₉	C₂⁴×C₃	1	1	yes	characteristic
180	C₂×D₉	C₂²×C₃×C₄	1	2	yes	—
181	C₂×D₉	C₂×C₃×Q₈	1	2	yes	—
182	C₂×D₉	C₃×#41	1	2	yes	—
183	C₄×C₉	—	2	3	no	—
184	C₄×C₉	—	2	6	no	—
185	C₄×C₉	—	2	2	no	—
186	C₄×C₉	—	4	3	no	—
187	C₄×C₉	C₂²×C₃×C₄	1	6	yes	—
188	C₄×C₉	C₂×C₃×Q₈	1	2	yes	complemented
189	Dic₉	—	2	3	no	—
190	Dic₉	C₂²×C₃×C₄	1	6	yes	—
191	Dic₉	C₂×C₃×Q₈	1	2	yes	complemented
192	C₂²×Q₈	—	9	1	no	—
193	C₄×Q₈	—	9	1	no	—
194	C₄×Q₈	—	9	3	no	—
195	C₄×Q₈	—	9	3	no	—
196	C₄×Q₈	C₃×D₉	1	1	yes	characteristic, direct product factor
197	C₂×C₄⋊C₄	—	9	3	no	—
198	C₂×C₄²	—	9	3	no	—
199	C₃×C₉	C₂×C₄×Q₈	1	1	yes	characteristic, complemented, Sylow
200	C₂³×C₃	—	9	1	no	—
201	C₂²×D₃	—	3	1	no	—
202	C₃×Q₈	—	2	4	no	—
203	C₃×Q₈	—	9	12	no	—
204	C₃×Q₈	C₄×D₉	1	4	yes	direct product factor
205	C₃×Q₈	C₃×C₄×D₃	1	4	yes	—
206	C₂×C₃×C₄	—	2	1	no	—
207	C₂×C₃×C₄	—	2	3	no	—
208	C₂×C₃×C₄	—	2	3	no	—
209	C₂×C₃×C₄	—	9	1	no	—
210	C₂×C₃×C₄	—	9	3	no	—
211	C₂×C₃×C₄	—	9	12	no	—
212	C₂×C₃×C₄	—	9	4	no	—
213	C₂×C₃×C₄	—	9	3	no	—
214	C₂×C₃×C₄	—	18	6	no	—
215	C₂×C₃×C₄	C₂²×D₉	1	3	yes	—
216	C₂×C₃×C₄	C₂²×D₉	1	3	yes	—
217	C₂×C₃×C₄	C₂²×D₉	1	1	yes	characteristic
218	C₂×C₃×C₄	C₂²×C₃×D₃	1	3	yes	—
219	C₂×C₃×C₄	C₂²×C₃×D₃	1	3	yes	—
220	C₂×C₃×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
221	C₂×Dic₃	—	3	1	no	—
222	C₂×Dic₃	—	3	3	no	—
223	C₂×Dic₃	—	3	3	no	—
224	C₄×D₃	—	3	12	no	—
225	C₄×D₃	—	3	4	no	—
226	C₄×D₃	—	6	6	no	—
227	Dic₆	—	3	12	no	—
228	C₂×C₃²	C₂²×C₄×D₃	1	1	yes	characteristic
229	C₂×C₃²	C₂×D₃×Q₈	1	1	yes	characteristic
230	C₂×C₃²	D₃×#41	1	1	yes	characteristic
231	C₃×D₃	—	3	4	no	—
232	C₂×C₉	—	2	1	no	—
233	C₂×C₉	—	2	1	no	—
234	C₂×C₉	—	2	1	no	—
235	C₂×C₉	C₂³×C₃×C₄	1	1	yes	characteristic
236	C₂×C₉	C₂²×C₃×Q₈	1	1	yes	characteristic
237	C₂×C₉	C₂×C₃×#41	1	1	yes	characteristic
238	D₉	C₃×C₄×Q₈	1	4	yes	direct product factor
239	C₂×Q₈	—	9	8	no	—
240	C₂×Q₈	—	9	3	no	—
241	C₂×Q₈	C₂×C₃×D₉	1	1	yes	characteristic
242	C₂²×C₄	—	9	1	no	—
243	C₂²×C₄	—	9	3	no	—
244	C₂²×C₄	—	9	3	no	—
245	C₄⋊C₄	—	9	6	no	—
246	C₄⋊C₄	—	9	3	no	—
247	C₄⋊C₄	C₂×C₃×D₉	1	3	yes	—
248	C₄²	—	9	3	no	—
249	C₄²	—	9	3	no	—
250	C₄²	—	9	3	no	—
251	C₄²	C₂×C₃×D₉	1	3	yes	—
252	C₂²×C₃	—	2	1	no	—
253	C₂²×C₃	—	9	2	no	—
254	C₂²×C₃	—	9	2	no	—
255	C₂²×C₃	—	9	2	no	—
256	C₂²×C₃	C₂³×D₉	1	1	yes	characteristic
257	C₂²×C₃	C₂³×C₃×D₃	1	1	yes	characteristic
258	C₂×D₃	—	3	2	no	—
259	C₂×D₃	—	3	2	no	—
260	C₂×D₃	—	3	2	no	—
261	C₃×C₄	—	2	3	no	—
262	C₃×C₄	—	2	3	no	—
263	C₃×C₄	—	2	6	no	—
264	C₃×C₄	—	2	2	no	—
265	C₃×C₄	—	4	3	no	—
266	C₃×C₄	—	9	6	no	—
267	C₃×C₄	—	9	2	no	—
268	C₃×C₄	—	18	3	no	—
269	C₃×C₄	C₂×C₄×D₉	1	6	yes	—
270	C₃×C₄	Q₈×D₉	1	2	yes	direct product factor
271	C₃×C₄	C₂×C₃×C₄×D₃	1	6	yes	—
272	C₃×C₄	C₃×D₃×Q₈	1	2	yes	—
273	Dic₃	—	3	6	no	—
274	Dic₃	—	3	2	no	—
275	Dic₃	—	6	3	no	—
276	C₃²	C₄×D₃×Q₈	1	1	yes	characteristic
277	C₉	—	2	1	no	—
278	C₉	C₂×C₃×C₄×Q₈	1	1	yes	characteristic, complemented
279	C₂³	—	9	1	no	—
280	Q₈	—	9	12	no	—
281	Q₈	C₃×C₄×D₉	1	4	yes	direct product factor
282	C₂×C₄	—	9	1	no	—
283	C₂×C₄	—	9	3	no	—
284	C₂×C₄	—	9	12	no	—
285	C₂×C₄	—	9	4	no	—
286	C₂×C₄	—	9	3	no	—
287	C₂×C₄	—	18	6	no	—
288	C₂×C₄	C₂²×C₃×D₉	1	3	yes	—
289	C₂×C₄	C₂²×C₃×D₉	1	3	yes	—
290	C₂×C₄	C₂²×C₃×D₉	1	1	yes	characteristic
291	C₂×C₃	—	2	1	no	—
292	C₂×C₃	—	2	1	no	—
293	C₂×C₃	—	2	1	no	—
294	C₂×C₃	—	9	4	no	—
295	C₂×C₃	C₂²×C₄×D₉	1	1	yes	characteristic
296	C₂×C₃	C₂×Q₈×D₉	1	1	yes	characteristic
297	C₂×C₃	#41×D₉	1	1	yes	characteristic
298	C₂×C₃	C₂²×C₃×C₄×D₃	1	1	yes	characteristic
299	C₂×C₃	C₂×C₃×D₃×Q₈	1	1	yes	characteristic
300	C₂×C₃	C₃×D₃×#41	1	1	yes	characteristic
301	D₃	—	3	4	no	—
302	C₂²	—	9	2	no	—
303	C₂²	—	9	2	no	—
304	C₂²	—	9	2	no	—
305	C₂²	C₂³×C₃×D₉	1	1	yes	characteristic
306	C₄	—	2	3	no	—
307	C₄	—	9	6	no	—
308	C₄	—	9	2	no	—
309	C₄	—	18	3	no	—
310	C₄	C₂×C₃×C₄×D₉	1	6	yes	—
311	C₄	C₃×Q₈×D₉	1	2	yes	direct product factor
312	C₃	—	2	1	no	—
313	C₃	C₄×Q₈×D₉	1	1	yes	characteristic, direct product factor
314	C₃	C₃×C₄×D₃×Q₈	1	1	yes	characteristic
315	C₂	—	9	4	no	—
316	C₂	C₂²×C₃×C₄×D₉	1	1	yes	characteristic
317	C₂	C₂×C₃×Q₈×D₉	1	1	yes	characteristic
318	C₂	C₃×#41×D₉	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₃×C₄	C₂²×D₉
commutator	C₂×C₉	C₂³×C₃×C₄
Frattini	C₂²×C₃	C₂³×C₃×D₃
Fitting	C₃×C₄×Q₈×C₉	C₂
socle	C₂²×C₃²	C₂³×D₃
prime radical	C₂²×C₃×D₉	C₂³
cosocle	C₂²×C₉	C₂⁴×C₃
hypercenter	C₃×C₄×Q₈	D₉
hypocenter	C₉	C₂×C₃×C₄×Q₈
LCS	G ▷ C₂×C₉ ▷ C₉
UCS	C₁ ◁ C₂×C₃×C₄ ◁ C₃×C₄×Q₈

Complements

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

N	H ≅ G/N	type
2. C₃×C₄×Q₈×C₉	C₂	semidirect
3. C₃×Q₈×Dic₉	C₂	semidirect
5. C₃×#63449	C₂	semidirect
7. C₃×C₄×Dic₁₈	C₂	semidirect
9. C₄×Q₈×D₉	C₃	direct (N × H)
11. C₃×Q₈×D₉	C₄	direct (N × H)
32. C₄×Q₈×C₉	C₂×C₃	semidirect
33. Q₈×Dic₉	C₂×C₃	semidirect
35. #63449	C₂×C₃	semidirect
37. C₄×Dic₁₈	C₂×C₃	semidirect
39. C₃×Q₈×C₉	C₂×C₄	semidirect
48. C₃×C₄×D₉	Q₈	direct (N × H)
49. C₃×Dic₁₈	C₂×C₄	semidirect
67. Q₈×D₉	C₃×C₄	direct (N × H)
87. C₃×C₄×C₉	C₂×Q₈	semidirect
90. C₃×Dic₉	C₂×Q₈	semidirect
97. C₃×C₄×Q₈	D₉	direct (N × H)
120. Q₈×C₉	C₂×C₃×C₄	semidirect
132. C₄×D₉	C₃×Q₈	direct (N × H)
133. Dic₁₈	C₂×C₃×C₄	semidirect
138. C₃×D₉	C₄×Q₈	direct (N × H)
188. C₄×C₉	C₂×C₃×Q₈	semidirect
191. Dic₉	C₂×C₃×Q₈	semidirect
196. C₄×Q₈	C₃×D₉	direct (N × H)
199. C₃×C₉	C₂×C₄×Q₈	semidirect
204. C₃×Q₈	C₄×D₉	direct (N × H)
238. D₉	C₃×C₄×Q₈	direct (N × H)
270. C₃×C₄	Q₈×D₉	direct (N × H)
278. C₉	C₂×C₃×C₄×Q₈	semidirect
281. Q₈	C₃×C₄×D₉	direct (N × H)
311. C₄	C₃×Q₈×D₉	direct (N × H)
313. C₃	C₄×Q₈×D₉	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₃×Q₈×D₉	2
C₃×C₄×Q₈×C₉	2
C₃×Q₈×Dic₉	2
C₃×C₄⋊C₄×D₉	2
C₃×#63449	2
C₃×C₄²×D₉	2
C₃×C₄×Dic₁₈	2
C₃×C₄×D₃×Q₈	3
C₄×Q₈×D₉	3

Subgroups — C3×C4×Q8×D9 #13152677

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×C₄×Q₈×D₉ #13152677