Subgroups — C₃×#29271 #10647878

Order 768.

604 conjugacy classes of subgroups.

The subgroup lattice has 392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#2961	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#2957	C₂	1	1	yes	maximal, characteristic
3	C₃×#2098	C₂	1	2	yes	maximal, complemented
4	C₃×#2031	C₂	1	2	yes	maximal, complemented
5	C₃×#1976	C₂	1	1	yes	maximal, characteristic
6	C₃×#1975	C₂	1	1	yes	maximal, characteristic
7	C₃×#1953	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#1946	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#1868	C₂	1	2	yes	maximal, complemented
10	C₃×#1861	C₂	1	2	yes	maximal, complemented
11	C₃×#1833	C₂	1	1	yes	maximal, characteristic, complemented
12	#29271	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
13	C₂×C₃×#135	C₂²	1	1	yes	characteristic
14	C₃×#568	C₂²	1	2	yes	—
15	C₃×#533	C₂²	1	1	yes	characteristic
16	C₃×#446	—	2	2	no	—
17	C₃×#446	—	2	2	no	—
18	C₃×#444	—	2	2	no	—
19	C₃×#443	—	2	2	no	—
20	C₃×#430	C₂²	1	2	yes	—
21	C₂×C₃×#108	C₂²	1	1	yes	characteristic
22	C₂×C₃×#108	C₂²	1	1	yes	characteristic
23	C₃×#427	C₂²	1	1	yes	characteristic
24	C₃×#424	C₂²	1	1	yes	characteristic
25	C₃×#424	C₂²	1	1	yes	characteristic
26	C₃×#424	C₂²	1	2	yes	—
27	C₃×#423	C₂²	1	1	yes	characteristic
28	C₃×#421	C₂²	1	2	yes	—
29	C₃×#421	C₂²	1	2	yes	—
30	C₂×C₃×#104	C₂²	1	2	yes	—
31	C₃×#410	C₂²	1	2	yes	—
32	C₃×#408	C₂²	1	2	yes	—
33	C₃×#405	C₂²	1	1	yes	characteristic
34	C₃×#405	C₂²	1	1	yes	characteristic
35	C₂×C₃×#97	C₂²	1	1	yes	characteristic
36	C₃×#344	C₂²	1	2	yes	—
37	C₃×#344	C₂²	1	2	yes	—
38	C₃×#339	C₂²	1	2	yes	—
39	C₃×H(3,ℤ/4)	C₂²	1	2	yes	—
40	#2961	C₂×C₃	1	1	yes	characteristic, complemented
41	#2957	C₂×C₃	1	1	yes	characteristic
42	#2098	C₂×C₃	1	2	yes	complemented
43	#2031	C₂×C₃	1	2	yes	complemented
44	#1976	C₂×C₃	1	1	yes	characteristic
45	#1975	C₂×C₃	1	1	yes	characteristic
46	#1953	C₂×C₃	1	1	yes	characteristic, complemented
47	#1946	C₂×C₃	1	1	yes	characteristic, complemented
48	#1868	C₂×C₃	1	2	yes	complemented
49	#1861	C₂×C₃	1	2	yes	complemented
50	#1833	C₂×C₃	1	1	yes	characteristic, complemented
51	C₂×C₃×#41	C₂³	1	2	yes	—
52	C₃×#135	—	2	1	no	—
53	C₃×#135	—	2	1	no	—
54	C₃×#135	—	2	1	no	—
55	C₃×#135	—	2	1	no	—
56	C₂×C₃×Q₁₆	Q₈	1	1	yes	characteristic, complemented
57	C₂×C₃×SD₁₆	Q₈	1	2	yes	complemented
58	C₂×C₃×D₈	Q₈	1	1	yes	characteristic, complemented
59	C₃×#131	—	2	4	no	—
60	C₃×#131	—	4	2	no	—
61	C₂×C₃×M₁₆	—	4	2	no	—
62	C₂×C₃×M₁₆	C₂³	1	2	yes	—
63	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
64	C₂×C₃×M₁₆	C₂³	1	2	yes	—
65	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
66	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
67	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
68	C₃×C₄⋊Q₈	—	2	1	no	—
69	C₃×#125	—	2	1	no	—
70	C₃×C₂²⋊Q₈	—	2	2	no	—
71	C₃×C₄×Q₈	—	2	2	no	—
72	C₃×#117	C₂³	1	2	yes	—
73	C₃×#117	C₂³	1	1	yes	characteristic
74	C₃×#117	C₂³	1	1	yes	characteristic
75	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
76	C₃×#108	—	2	1	no	—
77	C₃×#108	—	2	1	no	—
78	C₃×#108	—	2	1	no	—
79	C₃×#108	—	2	1	no	—
80	C₃×#108	—	4	2	no	—
81	C₃×#107	—	2	1	no	—
82	C₃×#106	—	2	1	no	—
83	C₃×C₄⋊C₈	—	2	2	no	—
84	C₃×C₄⋊C₈	—	2	2	no	—
85	C₃×C₄⋊C₈	—	2	2	no	—
86	C₃×C₄⋊C₈	—	4	2	no	—
87	C₃×#104	—	2	4	no	—
88	C₃×#104	—	2	2	no	—
89	C₃×#104	—	2	2	no	—
90	C₃×#104	—	4	2	no	—
91	C₃×#99	—	2	4	no	—
92	C₃×C₂²⋊C₈	—	4	2	no	—
93	C₃×#97	—	2	1	no	—
94	C₃×#97	—	2	1	no	—
95	C₃×#97	—	2	1	no	—
96	C₃×#97	D₄	1	2	yes	—
97	C₃×C₄×C₈	—	2	1	no	—
98	C₃×C₄×C₈	D₄	1	2	yes	—
99	C₂×#135	C₂²×C₃	1	1	yes	characteristic
100	#568	C₂²×C₃	1	2	yes	—
101	#533	C₂²×C₃	1	1	yes	characteristic
102	#446	—	2	2	no	—
103	#446	—	2	2	no	—
104	#444	—	2	2	no	—
105	#443	—	2	2	no	—
106	#430	C₂²×C₃	1	2	yes	—
107	C₂×#108	C₂²×C₃	1	1	yes	characteristic
108	C₂×#108	C₂²×C₃	1	1	yes	characteristic
109	#427	C₂²×C₃	1	1	yes	characteristic
110	#424	C₂²×C₃	1	1	yes	characteristic
111	#424	C₂²×C₃	1	1	yes	characteristic
112	#424	C₂²×C₃	1	2	yes	—
113	#423	C₂²×C₃	1	1	yes	characteristic
114	#421	C₂²×C₃	1	2	yes	—
115	#421	C₂²×C₃	1	2	yes	—
116	C₂×#104	C₂²×C₃	1	2	yes	—
117	#410	C₂²×C₃	1	2	yes	—
118	#408	C₂²×C₃	1	2	yes	—
119	#405	C₂²×C₃	1	1	yes	characteristic
120	#405	C₂²×C₃	1	1	yes	characteristic
121	C₂×#97	C₂²×C₃	1	1	yes	characteristic
122	#344	C₂²×C₃	1	2	yes	—
123	#344	C₂²×C₃	1	2	yes	—
124	#339	C₂²×C₃	1	2	yes	—
125	H(3,ℤ/4)	C₂²×C₃	1	2	yes	—
126	C₃×#41	—	2	2	no	—
127	C₃×#41	—	2	2	no	—
128	C₃×#41	—	2	2	no	—
129	C₃×#41	—	2	2	no	—
130	C₂×C₃×Q₈	—	2	2	no	—
131	C₂×C₃×Q₈	C₂×Q₈	1	2	yes	—
132	C₂×C₃×D₄	—	2	2	no	—
133	C₂×C₃×D₄	C₂×Q₈	1	2	yes	—
134	C₂²×C₃×C₄	—	2	1	no	—
135	C₂²×C₃×C₄	—	2	2	no	—
136	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
137	C₃×Q₁₆	—	2	1	no	—
138	C₃×Q₁₆	—	2	1	no	—
139	C₃×SD₁₆	—	2	2	no	—
140	C₃×SD₁₆	—	2	2	no	—
141	C₃×D₈	—	2	1	no	—
142	C₃×D₈	—	2	1	no	—
143	C₃×M₁₆	—	2	1	no	—
144	C₃×M₁₆	—	2	1	no	—
145	C₃×M₁₆	—	2	2	no	—
146	C₃×M₁₆	—	2	2	no	—
147	C₃×M₁₆	—	2	2	no	—
148	C₃×M₁₆	—	2	1	no	—
149	C₃×M₁₆	—	2	1	no	—
150	C₃×M₁₆	—	2	2	no	—
151	C₃×M₁₆	—	4	4	no	—
152	C₂×C₃×C₈	—	2	1	no	—
153	C₂×C₃×C₈	—	2	1	no	—
154	C₂×C₃×C₈	—	2	1	no	—
155	C₂×C₃×C₈	—	2	2	no	—
156	C₂×C₃×C₈	—	2	1	no	—
157	C₂×C₃×C₈	—	2	2	no	—
158	C₂×C₃×C₈	—	4	4	no	—
159	C₂×C₃×C₈	C₂×D₄	1	2	yes	—
160	C₂×C₃×C₈	C₂×D₄	1	1	yes	characteristic
161	C₂×C₃×C₈	C₂×D₄	1	1	yes	characteristic
162	C₂×C₃×C₈	C₂×Q₈	1	1	yes	characteristic
163	C₂×C₃×C₈	C₂×Q₈	1	1	yes	characteristic
164	C₂×C₃×C₈	#41	1	1	yes	characteristic
165	C₂×C₃×C₈	#41	1	1	yes	characteristic
166	C₃×C₄⋊C₄	—	2	4	no	—
167	C₃×C₄⋊C₄	—	2	2	no	—
168	C₃×C₄⋊C₄	—	2	1	no	—
169	C₃×C₄⋊C₄	—	2	1	no	—
170	C₃×C₄⋊C₄	—	2	2	no	—
171	C₃×C₂²⋊C₄	—	2	1	no	—
172	C₃×C₂²⋊C₄	—	2	2	no	—
173	C₃×C₂²⋊C₄	#41	1	2	yes	—
174	C₃×C₄²	—	2	1	no	—
175	C₃×C₄²	—	2	1	no	—
176	C₃×C₄²	—	2	2	no	—
177	C₃×C₄²	C₂×D₄	1	2	yes	—
178	C₃×C₄²	#41	1	1	yes	characteristic
179	C₃×C₄²	#41	1	1	yes	characteristic
180	C₂×#41	C₂³×C₃	1	2	yes	—
181	#135	—	2	1	no	—
182	#135	—	2	1	no	—
183	#135	—	2	1	no	—
184	#135	—	2	1	no	—
185	C₂×Q₁₆	C₃×Q₈	1	1	yes	characteristic, complemented
186	C₂×SD₁₆	C₃×Q₈	1	2	yes	complemented
187	C₂×D₈	C₃×Q₈	1	1	yes	characteristic, complemented
188	#131	—	2	4	no	—
189	#131	—	4	2	no	—
190	C₂×M₁₆	—	4	2	no	—
191	C₂×M₁₆	C₂³×C₃	1	2	yes	—
192	C₂×M₁₆	C₂³×C₃	1	2	yes	—
193	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
194	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
195	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
196	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
197	C₄⋊Q₈	—	2	1	no	—
198	#125	—	2	1	no	—
199	C₂²⋊Q₈	—	2	2	no	—
200	C₄×Q₈	—	2	2	no	—
201	#117	C₂³×C₃	1	2	yes	—
202	#117	C₂³×C₃	1	1	yes	characteristic
203	#117	C₂³×C₃	1	1	yes	characteristic
204	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
205	#108	—	2	1	no	—
206	#108	—	2	1	no	—
207	#108	—	2	1	no	—
208	#108	—	2	1	no	—
209	#108	—	4	2	no	—
210	#107	—	2	1	no	—
211	#106	—	2	1	no	—
212	C₄⋊C₈	—	2	2	no	—
213	C₄⋊C₈	—	2	2	no	—
214	C₄⋊C₈	—	2	2	no	—
215	C₄⋊C₈	—	4	2	no	—
216	#104	—	2	4	no	—
217	#104	—	2	2	no	—
218	#104	—	2	2	no	—
219	#104	—	4	2	no	—
220	#99	—	2	4	no	—
221	C₂²⋊C₈	—	4	2	no	—
222	#97	—	2	1	no	—
223	#97	—	2	1	no	—
224	#97	—	2	1	no	—
225	#97	C₃×D₄	1	2	yes	—
226	C₄×C₈	—	2	1	no	—
227	C₄×C₈	C₃×D₄	1	2	yes	—
228	C₂³×C₃	—	2	2	no	—
229	C₂³×C₃	C₂×#41	1	1	yes	characteristic
230	C₃×Q₈	—	2	2	no	—
231	C₃×Q₈	—	2	2	no	—
232	C₃×Q₈	—	8	2	no	—
233	C₃×D₄	—	2	2	no	—
234	C₃×D₄	—	2	2	no	—
235	C₃×D₄	—	4	2	no	—
236	C₃×D₄	—	4	2	no	—
237	C₂×C₃×C₄	—	2	1	no	—
238	C₂×C₃×C₄	—	2	1	no	—
239	C₂×C₃×C₄	—	2	2	no	—
240	C₂×C₃×C₄	—	2	2	no	—
241	C₂×C₃×C₄	—	2	2	no	—
242	C₂×C₃×C₄	—	4	2	no	—
243	C₂×C₃×C₄	—	4	2	no	—
244	C₂×C₃×C₄	—	4	2	no	—
245	C₂×C₃×C₄	—	8	1	no	—
246	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
247	C₂×C₃×C₄	C₂²×Q₈	1	1	yes	characteristic
248	C₂×C₃×C₄	C₂×#41	1	1	yes	characteristic
249	C₂×C₃×C₄	C₂×#41	1	1	yes	characteristic
250	C₂×C₃×C₄	H(5,𝔽₂)	1	1	yes	characteristic
251	C₂×C₃×C₄	H(5,𝔽₂)	1	1	yes	characteristic
252	C₃×C₈	—	2	2	no	—
253	C₃×C₈	—	4	1	no	—
254	C₃×C₈	—	4	2	no	—
255	C₃×C₈	—	4	1	no	—
256	C₃×C₈	—	4	2	no	—
257	C₃×C₈	C₂²⋊Q₈	1	1	yes	characteristic
258	C₃×C₈	C₂²⋊Q₈	1	1	yes	characteristic
259	C₃×C₈	C₂²⋊Q₈	1	1	yes	characteristic
260	C₃×C₈	C₂²⋊Q₈	1	1	yes	characteristic
261	#41	—	2	2	no	—
262	#41	—	2	2	no	—
263	#41	—	2	2	no	—
264	#41	—	2	2	no	—
265	C₂×Q₈	—	2	2	no	—
266	C₂×Q₈	C₂×C₃×Q₈	1	2	yes	—
267	C₂×D₄	—	2	2	no	—
268	C₂×D₄	C₂×C₃×Q₈	1	2	yes	—
269	C₂²×C₄	—	2	1	no	—
270	C₂²×C₄	—	2	2	no	—
271	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
272	Q₁₆	—	2	1	no	—
273	Q₁₆	—	2	1	no	—
274	SD₁₆	—	2	2	no	—
275	SD₁₆	—	2	2	no	—
276	D₈	—	2	1	no	—
277	D₈	—	2	1	no	—
278	M₁₆	—	2	1	no	—
279	M₁₆	—	2	1	no	—
280	M₁₆	—	2	2	no	—
281	M₁₆	—	2	2	no	—
282	M₁₆	—	2	2	no	—
283	M₁₆	—	2	1	no	—
284	M₁₆	—	2	1	no	—
285	M₁₆	—	2	2	no	—
286	M₁₆	—	4	4	no	—
287	C₂×C₈	—	2	1	no	—
288	C₂×C₈	—	2	1	no	—
289	C₂×C₈	—	2	1	no	—
290	C₂×C₈	—	2	2	no	—
291	C₂×C₈	—	2	1	no	—
292	C₂×C₈	—	2	2	no	—
293	C₂×C₈	—	4	4	no	—
294	C₂×C₈	C₂×C₃×D₄	1	2	yes	—
295	C₂×C₈	C₂×C₃×D₄	1	1	yes	characteristic
296	C₂×C₈	C₂×C₃×D₄	1	1	yes	characteristic
297	C₂×C₈	C₂×C₃×Q₈	1	1	yes	characteristic
298	C₂×C₈	C₂×C₃×Q₈	1	1	yes	characteristic
299	C₂×C₈	C₃×#41	1	1	yes	characteristic
300	C₂×C₈	C₃×#41	1	1	yes	characteristic
301	C₄⋊C₄	—	2	4	no	—
302	C₄⋊C₄	—	2	2	no	—
303	C₄⋊C₄	—	2	1	no	—
304	C₄⋊C₄	—	2	1	no	—
305	C₄⋊C₄	—	2	2	no	—
306	C₂²⋊C₄	—	2	1	no	—
307	C₂²⋊C₄	—	2	2	no	—
308	C₂²⋊C₄	C₃×#41	1	2	yes	—
309	C₄²	—	2	1	no	—
310	C₄²	—	2	1	no	—
311	C₄²	—	2	2	no	—
312	C₄²	C₂×C₃×D₄	1	2	yes	—
313	C₄²	C₃×#41	1	1	yes	characteristic
314	C₄²	C₃×#41	1	1	yes	characteristic
315	C₂²×C₃	—	4	1	no	—
316	C₂²×C₃	—	4	2	no	—
317	C₂²×C₃	—	8	2	no	—
318	C₂²×C₃	#525	1	1	yes	characteristic
319	C₂²×C₃	#554	1	1	yes	characteristic
320	C₂²×C₃	#559	1	1	yes	characteristic
321	C₃×C₄	—	4	1	no	—
322	C₃×C₄	—	4	1	no	—
323	C₃×C₄	—	4	2	no	—
324	C₃×C₄	—	4	2	no	—
325	C₃×C₄	—	4	2	no	—
326	C₃×C₄	—	8	2	no	—
327	C₃×C₄	C₂×C₂²⋊Q₈	1	1	yes	characteristic
328	C₃×C₄	#535	1	1	yes	characteristic
329	C₃×C₄	#554	1	1	yes	characteristic
330	C₃×C₄	#559	1	1	yes	characteristic
331	C₂³	—	2	2	no	—
332	C₂³	C₂×C₃×#41	1	1	yes	characteristic
333	Q₈	—	2	2	no	—
334	Q₈	—	2	2	no	—
335	Q₈	—	8	2	no	—
336	D₄	—	2	2	no	—
337	D₄	—	2	2	no	—
338	D₄	—	4	2	no	—
339	D₄	—	4	2	no	—
340	C₂×C₄	—	2	1	no	—
341	C₂×C₄	—	2	1	no	—
342	C₂×C₄	—	2	2	no	—
343	C₂×C₄	—	2	2	no	—
344	C₂×C₄	—	2	2	no	—
345	C₂×C₄	—	4	2	no	—
346	C₂×C₄	—	4	2	no	—
347	C₂×C₄	—	4	2	no	—
348	C₂×C₄	—	8	1	no	—
349	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
350	C₂×C₄	C₂²×C₃×Q₈	1	1	yes	characteristic
351	C₂×C₄	C₂×C₃×#41	1	1	yes	characteristic
352	C₂×C₄	C₂×C₃×#41	1	1	yes	characteristic
353	C₂×C₄	C₃×H(5,𝔽₂)	1	1	yes	characteristic
354	C₂×C₄	C₃×H(5,𝔽₂)	1	1	yes	characteristic
355	C₈	—	2	2	no	—
356	C₈	—	4	2	no	—
357	C₈	—	4	1	no	—
358	C₈	—	4	2	no	—
359	C₈	—	4	1	no	—
360	C₈	C₃×C₂²⋊Q₈	1	1	yes	characteristic
361	C₈	C₃×C₂²⋊Q₈	1	1	yes	characteristic
362	C₈	C₃×C₂²⋊Q₈	1	1	yes	characteristic
363	C₈	C₃×C₂²⋊Q₈	1	1	yes	characteristic
364	C₂×C₃	—	2	1	no	—
365	C₂×C₃	—	2	1	no	—
366	C₂×C₃	—	2	1	no	—
367	C₂×C₃	—	8	2	no	—
368	C₂×C₃	#2580	1	1	yes	characteristic
369	C₂²	—	4	1	no	—
370	C₂²	—	4	2	no	—
371	C₂²	—	8	2	no	—
372	C₂²	C₃×#525	1	1	yes	characteristic
373	C₂²	C₃×#554	1	1	yes	characteristic
374	C₂²	C₃×#559	1	1	yes	characteristic
375	C₄	—	4	1	no	—
376	C₄	—	4	1	no	—
377	C₄	—	4	2	no	—
378	C₄	—	4	2	no	—
379	C₄	—	4	2	no	—
380	C₄	—	8	2	no	—
381	C₄	C₂×C₃×C₂²⋊Q₈	1	1	yes	characteristic
382	C₄	C₃×#535	1	1	yes	characteristic
383	C₄	C₃×#554	1	1	yes	characteristic
384	C₄	C₃×#559	1	1	yes	characteristic
385	C₃	#29271	1	1	yes	characteristic, direct product factor, Sylow
386	C₂	—	2	1	no	—
387	C₂	—	2	1	no	—
388	C₂	—	2	1	no	—
389	C₂	—	8	2	no	—
390	C₂	C₃×#2580	1	1	yes	characteristic

	subgroup	G/H
center	C₃×C₄	#535
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₃
socle	C₂×C₃	#2580
prime radical	C₂×C₃×#135	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₃×C₄ ◁ C₂²×C₃×C₄ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃×#2961	C₂	semidirect
3. C₃×#2098	C₂	semidirect
4. C₃×#2031	C₂	semidirect
7. C₃×#1953	C₂	semidirect
8. C₃×#1946	C₂	semidirect
9. C₃×#1868	C₂	semidirect
10. C₃×#1861	C₂	semidirect
11. C₃×#1833	C₂	semidirect
12. #29271	C₃	direct (N × H)
40. #2961	C₂×C₃	semidirect
42. #2098	C₂×C₃	semidirect
43. #2031	C₂×C₃	semidirect
46. #1953	C₂×C₃	semidirect
47. #1946	C₂×C₃	semidirect
48. #1868	C₂×C₃	semidirect
49. #1861	C₂×C₃	semidirect
50. #1833	C₂×C₃	semidirect
56. C₂×C₃×Q₁₆	Q₈	semidirect
57. C₂×C₃×SD₁₆	Q₈	semidirect
58. C₂×C₃×D₈	Q₈	semidirect
185. C₂×Q₁₆	C₃×Q₈	semidirect
186. C₂×SD₁₆	C₃×Q₈	semidirect
187. C₂×D₈	C₃×Q₈	semidirect
385. C₃	#29271	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃×#2961	2
C₃×#2957	2
C₃×#2098	2
C₃×#2031	2
C₃×#1976	2
C₃×#1975	2
C₃×#1953	2
C₃×#1946	2
C₃×#1868	2
C₃×#1861	2
C₃×#1833	2
#29271	3

Subgroups — C3×#29271 #10647878

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#29271 #10647878