Subgroups — C₃×#21181 #10639788

Order 768.

874 conjugacy classes of subgroups.

The subgroup lattice has 366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₃×#108	C₂	1	1	yes	maximal, characteristic
2	C₃×#2911	C₂	1	2	yes	maximal
3	C₂×C₃×#427	C₂	1	1	yes	maximal, characteristic
4	C₂×C₃×#405	C₂	1	1	yes	maximal, characteristic
5	C₃×#1952	C₂	1	4	yes	maximal, complemented
6	C₃×#1951	C₂	1	4	yes	maximal, complemented
7	C₃×#1742	C₂	1	2	yes	maximal
8	#21181	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
9	C₂²×C₃×M₁₆	C₂²	1	2	yes	—
10	C₂²×C₃×M₁₆	C₂²	1	1	yes	characteristic
11	C₂³×C₃×C₈	C₂²	1	1	yes	characteristic
12	C₂×C₃×#117	C₂²	1	1	yes	characteristic
13	C₂×C₃×#117	C₂²	1	2	yes	—
14	C₂×C₃×#108	C₄	1	8	yes	complemented
15	C₂×C₃×#108	C₂²	1	2	yes	—
16	C₂×C₃×#108	C₂²	1	2	yes	—
17	C₃×#428	—	2	4	no	—
18	C₃×#428	C₂²	1	8	yes	—
19	C₃×#427	—	2	1	no	—
20	C₃×#427	—	2	1	no	—
21	C₃×#427	—	2	1	no	—
22	C₃×#427	—	2	1	no	—
23	C₃×#427	—	2	4	no	—
24	C₂×C₃×#107	C₂²	1	2	yes	—
25	C₂×C₃×#106	C₂²	1	2	yes	—
26	C₃×#405	—	2	1	no	—
27	C₃×#405	—	2	1	no	—
28	C₃×#405	C₂²	1	2	yes	—
29	C₃×#405	C₂²	1	2	yes	—
30	C₂×C₃×#97	—	2	1	no	—
31	C₂×C₃×C₄×C₈	—	2	1	no	—
32	C₃×#343	C₂²	1	8	yes	—
33	C₂²×#108	C₂×C₃	1	1	yes	characteristic
34	#2911	C₂×C₃	1	2	yes	—
35	C₂×#427	C₂×C₃	1	1	yes	characteristic
36	C₂×#405	C₂×C₃	1	1	yes	characteristic
37	#1952	C₂×C₃	1	4	yes	complemented
38	#1951	C₂×C₃	1	4	yes	complemented
39	#1742	C₂×C₃	1	2	yes	—
40	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
41	C₂×C₃×M₁₆	—	2	1	no	—
42	C₂×C₃×M₁₆	—	2	2	no	—
43	C₂×C₃×M₁₆	—	2	4	no	—
44	C₂×C₃×M₁₆	—	2	2	no	—
45	C₂×C₃×M₁₆	C₂×C₄	1	8	yes	—
46	C₂×C₃×M₁₆	Q₈	1	4	yes	—
47	C₂×C₃×M₁₆	C₂³	1	4	yes	—
48	C₂×C₃×M₁₆	C₂³	1	2	yes	—
49	C₂²×C₃×C₈	—	2	1	no	—
50	C₂²×C₃×C₈	—	2	2	no	—
51	C₂²×C₃×C₈	C₂×C₄	1	4	yes	—
52	C₂²×C₃×C₈	D₄	1	1	yes	characteristic
53	C₂²×C₃×C₈	D₄	1	1	yes	characteristic
54	C₂²×C₃×C₈	D₄	1	1	yes	characteristic
55	C₂²×C₃×C₈	D₄	1	1	yes	characteristic
56	C₂²×C₃×C₈	Q₈	1	4	yes	—
57	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
58	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
59	C₃×#117	—	2	1	no	—
60	C₃×#117	—	2	1	no	—
61	C₃×#117	—	2	2	no	—
62	C₃×#117	—	2	2	no	—
63	C₃×#117	—	2	2	no	—
64	C₃×#117	—	2	2	no	—
65	C₃×#117	D₄	1	2	yes	—
66	C₃×#117	C₂³	1	2	yes	—
67	C₂×C₃×C₄⋊C₄	D₄	1	2	yes	—
68	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
69	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
70	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
71	C₂×C₃×C₄²	—	2	1	no	—
72	C₂×C₃×C₄²	—	2	2	no	—
73	C₃×#108	C₂×C₄	1	8	yes	complemented
74	C₃×#108	C₂×C₄	1	8	yes	complemented
75	C₃×#107	—	2	2	no	—
76	C₃×#107	—	2	2	no	—
77	C₃×#107	—	2	8	no	—
78	C₃×#106	—	2	2	no	—
79	C₃×#106	—	2	2	no	—
80	C₃×#106	—	2	8	no	—
81	C₃×#97	—	2	2	no	—
82	C₃×#97	—	2	2	no	—
83	C₃×C₄×C₈	—	2	2	no	—
84	C₃×C₄×C₈	—	2	2	no	—
85	C₂²×M₁₆	C₂²×C₃	1	2	yes	—
86	C₂²×M₁₆	C₂²×C₃	1	1	yes	characteristic
87	C₂³×C₈	C₂²×C₃	1	1	yes	characteristic
88	C₂×#117	C₂²×C₃	1	1	yes	characteristic
89	C₂×#117	C₂²×C₃	1	2	yes	—
90	C₂×#108	C₃×C₄	1	8	yes	complemented
91	C₂×#108	C₂²×C₃	1	2	yes	—
92	C₂×#108	C₂²×C₃	1	2	yes	—
93	#428	—	2	4	no	—
94	#428	C₂²×C₃	1	8	yes	—
95	#427	—	2	1	no	—
96	#427	—	2	1	no	—
97	#427	—	2	1	no	—
98	#427	—	2	1	no	—
99	#427	—	2	4	no	—
100	C₂×#107	C₂²×C₃	1	2	yes	—
101	C₂×#106	C₂²×C₃	1	2	yes	—
102	#405	—	2	1	no	—
103	#405	—	2	1	no	—
104	#405	C₂²×C₃	1	2	yes	—
105	#405	C₂²×C₃	1	2	yes	—
106	C₂×#97	—	2	1	no	—
107	C₂×C₄×C₈	—	2	1	no	—
108	#343	C₂²×C₃	1	8	yes	—
109	C₂⁴×C₃	#41	1	1	yes	characteristic
110	C₂²×C₃×C₄	—	2	2	no	—
111	C₂²×C₃×C₄	—	2	4	no	—
112	C₂²×C₃×C₄	C₂²×C₄	1	2	yes	—
113	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
114	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
115	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
116	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
117	C₂²×C₃×C₄	C₂×Q₈	1	2	yes	—
118	C₂²×C₃×C₄	C₂×Q₈	1	2	yes	—
119	C₂²×C₃×C₄	#41	1	2	yes	—
120	C₂²×C₃×C₄	#41	1	1	yes	characteristic
121	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
122	C₃×M₁₆	—	2	8	no	—
123	C₃×M₁₆	—	2	4	no	—
124	C₃×M₁₆	—	2	4	no	—
125	C₃×M₁₆	—	2	2	no	—
126	C₃×M₁₆	C₂²×C₄	1	8	yes	—
127	C₃×M₁₆	C₂×Q₈	1	4	yes	—
128	C₂×C₃×C₈	—	2	8	no	—
129	C₂×C₃×C₈	—	2	4	no	—
130	C₂×C₃×C₈	—	2	2	no	—
131	C₂×C₃×C₈	—	2	4	no	—
132	C₂×C₃×C₈	C₄⋊C₄	1	4	yes	—
133	C₂×C₃×C₈	C₄⋊C₄	1	4	yes	—
134	C₂×C₃×C₈	C₄⋊C₄	1	4	yes	—
135	C₂×C₃×C₈	C₄⋊C₄	1	4	yes	—
136	C₂×C₃×C₈	C₂²×C₄	1	2	yes	—
137	C₂×C₃×C₈	C₂²×C₄	1	2	yes	—
138	C₂×C₃×C₈	C₂×D₄	1	1	yes	characteristic
139	C₂×C₃×C₈	C₂×D₄	1	1	yes	characteristic
140	C₂×C₃×C₈	C₂×D₄	1	1	yes	characteristic
141	C₂×C₃×C₈	C₂×D₄	1	1	yes	characteristic
142	C₂×C₃×C₈	C₂×Q₈	1	2	yes	—
143	C₂×C₃×C₈	C₂×Q₈	1	2	yes	—
144	C₃×C₄⋊C₄	—	2	2	no	—
145	C₃×C₄⋊C₄	—	2	4	no	—
146	C₃×C₄⋊C₄	—	2	4	no	—
147	C₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
148	C₃×C₂²⋊C₄	—	2	2	no	—
149	C₃×C₂²⋊C₄	—	2	2	no	—
150	C₃×C₂²⋊C₄	—	4	2	no	—
151	C₃×C₂²⋊C₄	—	4	2	no	—
152	C₃×C₄²	—	2	2	no	—
153	C₃×C₄²	—	2	2	no	—
154	C₃×C₄²	—	4	2	no	—
155	C₃×C₄²	—	4	2	no	—
156	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
157	C₂×M₁₆	—	2	1	no	—
158	C₂×M₁₆	—	2	2	no	—
159	C₂×M₁₆	—	2	4	no	—
160	C₂×M₁₆	—	2	2	no	—
161	C₂×M₁₆	C₂×C₃×C₄	1	8	yes	—
162	C₂×M₁₆	C₃×Q₈	1	4	yes	—
163	C₂×M₁₆	C₂³×C₃	1	4	yes	—
164	C₂×M₁₆	C₂³×C₃	1	2	yes	—
165	C₂²×C₈	—	2	1	no	—
166	C₂²×C₈	—	2	2	no	—
167	C₂²×C₈	C₂×C₃×C₄	1	4	yes	—
168	C₂²×C₈	C₃×D₄	1	1	yes	characteristic
169	C₂²×C₈	C₃×D₄	1	1	yes	characteristic
170	C₂²×C₈	C₃×D₄	1	1	yes	characteristic
171	C₂²×C₈	C₃×D₄	1	1	yes	characteristic
172	C₂²×C₈	C₃×Q₈	1	4	yes	—
173	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
174	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
175	#117	—	2	1	no	—
176	#117	—	2	1	no	—
177	#117	—	2	2	no	—
178	#117	—	2	2	no	—
179	#117	—	2	2	no	—
180	#117	—	2	2	no	—
181	#117	C₃×D₄	1	2	yes	—
182	#117	C₂³×C₃	1	2	yes	—
183	C₂×C₄⋊C₄	C₃×D₄	1	2	yes	—
184	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
185	C₂×C₂²⋊C₄	—	2	1	no	—
186	C₂×C₂²⋊C₄	—	2	2	no	—
187	C₂×C₄²	—	2	1	no	—
188	C₂×C₄²	—	2	2	no	—
189	#108	C₂×C₃×C₄	1	8	yes	complemented
190	#108	C₂×C₃×C₄	1	8	yes	complemented
191	#107	—	2	2	no	—
192	#107	—	2	2	no	—
193	#107	—	2	8	no	—
194	#106	—	2	2	no	—
195	#106	—	2	2	no	—
196	#106	—	2	8	no	—
197	#97	—	2	2	no	—
198	#97	—	2	2	no	—
199	C₄×C₈	—	2	2	no	—
200	C₄×C₈	—	2	2	no	—
201	C₂³×C₃	—	4	2	no	—
202	C₂³×C₃	C₄×Q₈	1	2	yes	—
203	C₂³×C₃	#121	1	1	yes	characteristic
204	C₂³×C₃	#121	1	1	yes	characteristic
205	C₂³×C₃	#125	1	2	yes	—
206	C₂³×C₃	C₂×#41	1	1	yes	characteristic
207	C₂×C₃×C₄	—	2	4	no	—
208	C₂×C₃×C₄	—	4	4	no	—
209	C₂×C₃×C₄	—	4	4	no	—
210	C₂×C₃×C₄	—	8	4	no	—
211	C₂×C₃×C₄	C₂×C₄⋊C₄	1	2	yes	—
212	C₂×C₃×C₄	C₂×C₄⋊C₄	1	2	yes	—
213	C₂×C₃×C₄	C₄×D₄	1	2	yes	—
214	C₂×C₃×C₄	C₄×D₄	1	2	yes	—
215	C₂×C₃×C₄	C₄×Q₈	1	2	yes	—
216	C₂×C₃×C₄	#121	1	1	yes	characteristic
217	C₂×C₃×C₄	#121	1	1	yes	characteristic
218	C₂×C₃×C₄	C₂²⋊Q₈	1	2	yes	—
219	C₂×C₃×C₄	C₂²⋊Q₈	1	2	yes	—
220	C₂×C₃×C₄	#125	1	2	yes	—
221	C₂×C₃×C₄	C₄⋊Q₈	1	2	yes	—
222	C₂×C₃×C₄	C₄⋊Q₈	1	2	yes	—
223	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
224	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
225	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
226	C₂×C₃×C₄	C₂²×Q₈	1	1	yes	characteristic
227	C₂×C₃×C₄	C₂²×Q₈	1	1	yes	characteristic
228	C₂×C₃×C₄	C₂×#41	1	1	yes	characteristic
229	C₃×C₈	—	2	8	no	—
230	C₃×C₈	—	2	4	no	—
231	C₃×C₈	C₂×C₄⋊C₄	1	2	yes	—
232	C₃×C₈	C₂×C₄⋊C₄	1	2	yes	—
233	C₃×C₈	C₂×C₄⋊C₄	1	2	yes	—
234	C₃×C₈	C₂×C₄⋊C₄	1	2	yes	—
235	C₂⁴	C₃×#41	1	1	yes	characteristic
236	C₂²×C₄	—	2	2	no	—
237	C₂²×C₄	—	2	4	no	—
238	C₂²×C₄	C₂²×C₃×C₄	1	2	yes	—
239	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
240	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
241	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
242	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
243	C₂²×C₄	C₂×C₃×Q₈	1	2	yes	—
244	C₂²×C₄	C₂×C₃×Q₈	1	2	yes	—
245	C₂²×C₄	C₃×#41	1	2	yes	—
246	C₂²×C₄	C₃×#41	1	1	yes	characteristic
247	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
248	M₁₆	—	2	8	no	—
249	M₁₆	—	2	4	no	—
250	M₁₆	—	2	4	no	—
251	M₁₆	—	2	2	no	—
252	M₁₆	C₂²×C₃×C₄	1	8	yes	—
253	M₁₆	C₂×C₃×Q₈	1	4	yes	—
254	C₂×C₈	—	2	8	no	—
255	C₂×C₈	—	2	4	no	—
256	C₂×C₈	—	2	2	no	—
257	C₂×C₈	—	2	4	no	—
258	C₂×C₈	C₃×C₄⋊C₄	1	4	yes	—
259	C₂×C₈	C₃×C₄⋊C₄	1	4	yes	—
260	C₂×C₈	C₃×C₄⋊C₄	1	4	yes	—
261	C₂×C₈	C₃×C₄⋊C₄	1	4	yes	—
262	C₂×C₈	C₂²×C₃×C₄	1	2	yes	—
263	C₂×C₈	C₂²×C₃×C₄	1	2	yes	—
264	C₂×C₈	C₂×C₃×D₄	1	1	yes	characteristic
265	C₂×C₈	C₂×C₃×D₄	1	1	yes	characteristic
266	C₂×C₈	C₂×C₃×D₄	1	1	yes	characteristic
267	C₂×C₈	C₂×C₃×D₄	1	1	yes	characteristic
268	C₂×C₈	C₂×C₃×Q₈	1	2	yes	—
269	C₂×C₈	C₂×C₃×Q₈	1	2	yes	—
270	C₄⋊C₄	—	2	2	no	—
271	C₄⋊C₄	—	2	4	no	—
272	C₄⋊C₄	—	2	4	no	—
273	C₄⋊C₄	C₂×C₃×D₄	1	4	yes	—
274	C₂²⋊C₄	—	2	2	no	—
275	C₂²⋊C₄	—	2	2	no	—
276	C₂²⋊C₄	—	4	2	no	—
277	C₂²⋊C₄	—	4	2	no	—
278	C₄²	—	2	2	no	—
279	C₄²	—	2	2	no	—
280	C₄²	—	4	2	no	—
281	C₄²	—	4	2	no	—
282	C₂²×C₃	—	2	2	no	—
283	C₂²×C₃	—	2	2	no	—
284	C₂²×C₃	—	2	2	no	—
285	C₂²×C₃	—	4	2	no	—
286	C₂²×C₃	—	4	2	no	—
287	C₂²×C₃	#389	1	2	yes	—
288	C₂²×C₃	#389	1	2	yes	—
289	C₂²×C₃	C₂×C₄×Q₈	1	1	yes	characteristic
290	C₂²×C₃	C₂×#121	1	1	yes	characteristic
291	C₂²×C₃	C₂×#125	1	1	yes	characteristic
292	C₃×C₄	—	4	4	no	—
293	C₃×C₄	—	8	4	no	—
294	C₃×C₄	#389	1	2	yes	—
295	C₃×C₄	#389	1	2	yes	—
296	C₃×C₄	C₂²×C₄⋊C₄	1	1	yes	characteristic
297	C₃×C₄	C₂×C₄×D₄	1	1	yes	characteristic
298	C₃×C₄	C₂×C₂²⋊Q₈	1	1	yes	characteristic
299	C₃×C₄	C₂×C₄⋊Q₈	1	1	yes	characteristic
300	C₂³	—	4	2	no	—
301	C₂³	C₃×C₄×Q₈	1	2	yes	—
302	C₂³	C₃×#121	1	1	yes	characteristic
303	C₂³	C₃×#121	1	1	yes	characteristic
304	C₂³	C₃×#125	1	2	yes	—
305	C₂³	C₂×C₃×#41	1	1	yes	characteristic
306	C₂×C₄	—	2	4	no	—
307	C₂×C₄	—	4	4	no	—
308	C₂×C₄	—	4	4	no	—
309	C₂×C₄	—	8	4	no	—
310	C₂×C₄	C₂×C₃×C₄⋊C₄	1	2	yes	—
311	C₂×C₄	C₂×C₃×C₄⋊C₄	1	2	yes	—
312	C₂×C₄	C₃×C₄×D₄	1	2	yes	—
313	C₂×C₄	C₃×C₄×D₄	1	2	yes	—
314	C₂×C₄	C₃×C₄×Q₈	1	2	yes	—
315	C₂×C₄	C₃×#121	1	1	yes	characteristic
316	C₂×C₄	C₃×#121	1	1	yes	characteristic
317	C₂×C₄	C₃×C₂²⋊Q₈	1	2	yes	—
318	C₂×C₄	C₃×C₂²⋊Q₈	1	2	yes	—
319	C₂×C₄	C₃×#125	1	2	yes	—
320	C₂×C₄	C₃×C₄⋊Q₈	1	2	yes	—
321	C₂×C₄	C₃×C₄⋊Q₈	1	2	yes	—
322	C₂×C₄	C₂³×C₃×C₄	1	1	yes	characteristic
323	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
324	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
325	C₂×C₄	C₂²×C₃×Q₈	1	1	yes	characteristic
326	C₂×C₄	C₂²×C₃×Q₈	1	1	yes	characteristic
327	C₂×C₄	C₂×C₃×#41	1	1	yes	characteristic
328	C₈	—	2	8	no	—
329	C₈	—	2	4	no	—
330	C₈	C₂×C₃×C₄⋊C₄	1	2	yes	—
331	C₈	C₂×C₃×C₄⋊C₄	1	2	yes	—
332	C₈	C₂×C₃×C₄⋊C₄	1	2	yes	—
333	C₈	C₂×C₃×C₄⋊C₄	1	2	yes	—
334	C₂×C₃	—	2	1	no	—
335	C₂×C₃	—	2	1	no	—
336	C₂×C₃	—	2	2	no	—
337	C₂×C₃	—	2	2	no	—
338	C₂×C₃	C₂×#389	1	1	yes	characteristic
339	C₂×C₃	#3067	1	2	yes	—
340	C₂²	—	2	2	no	—
341	C₂²	—	2	2	no	—
342	C₂²	—	2	2	no	—
343	C₂²	—	4	2	no	—
344	C₂²	—	4	2	no	—
345	C₂²	C₃×#389	1	2	yes	—
346	C₂²	C₃×#389	1	2	yes	—
347	C₂²	C₂×C₃×C₄×Q₈	1	1	yes	characteristic
348	C₂²	C₂×C₃×#121	1	1	yes	characteristic
349	C₂²	C₂×C₃×#125	1	1	yes	characteristic
350	C₄	—	4	4	no	—
351	C₄	—	8	4	no	—
352	C₄	C₃×#389	1	2	yes	—
353	C₄	C₃×#389	1	2	yes	—
354	C₄	C₂²×C₃×C₄⋊C₄	1	1	yes	characteristic
355	C₄	C₂×C₃×C₄×D₄	1	1	yes	characteristic
356	C₄	C₂×C₃×C₂²⋊Q₈	1	1	yes	characteristic
357	C₄	C₂×C₃×C₄⋊Q₈	1	1	yes	characteristic
358	C₃	#21181	1	1	yes	characteristic, direct product factor, Sylow
359	C₂	—	2	2	no	—
360	C₂	—	2	2	no	—
361	C₂	—	2	1	no	—
362	C₂	—	2	1	no	—
363	C₂	C₂×C₃×#389	1	1	yes	characteristic
364	C₂	C₃×#3067	1	2	yes	—

	subgroup	G/H
center	C₂×C₃×C₄	#121
commutator	C₂×C₄	C₂³×C₃×C₄
Frattini, cosocle	C₂²×C₄	C₂⁴×C₃
socle	C₂²×C₃	C₂×#121
prime radical	C₂⁴×C₃	#41
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₃×C₄ ◁ C₂³×C₃×C₄ ◁ G

Complements

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

N	H ≅ G/N	type
5. C₃×#1952	C₂	semidirect
6. C₃×#1951	C₂	semidirect
8. #21181	C₃	direct (N × H)
14. C₂×C₃×#108	C₄	semidirect
37. #1952	C₂×C₃	semidirect
38. #1951	C₂×C₃	semidirect
73. C₃×#108	C₂×C₄	semidirect
74. C₃×#108	C₂×C₄	semidirect
90. C₂×#108	C₃×C₄	semidirect
189. #108	C₂×C₃×C₄	semidirect
190. #108	C₂×C₃×C₄	semidirect
358. C₃	#21181	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×C₃×#108	2
C₃×#2911	2
C₂×C₃×#427	2
C₂×C₃×#405	2
C₃×#1952	2
C₃×#1951	2
C₃×#1742	2
#21181	3

Subgroups — C3×#21181 #10639788

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#21181 #10639788