Subgroups — C₂×C₃×#63369 #13142543

Order 1728.

698 conjugacy classes of subgroups.

The subgroup lattice has 344 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₃×D₃₆	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃×C₉×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×C₃×C₉⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#63369	C₂	1	4	yes	maximal, direct product factor
5	C₂×C₃×#809	—	3	1	no	maximal
6	C₂×#63369	C₃	1	1	yes	maximal, characteristic, direct product factor
7	C₂³×C₃×D₉	—	2	1	no	—
8	C₂²×C₃×C₄×C₉	—	2	1	no	—
9	C₂²×C₃×C₄×C₉	C₂²	1	1	yes	characteristic
10	C₂×C₃×D₃₆	—	2	1	no	—
11	C₂×C₃×D₃₆	—	2	2	no	—
12	C₂×C₃×D₃₆	C₄	1	4	yes	complemented
13	C₂×C₃×D₃₆	C₂²	1	2	yes	—
14	C₃×C₉×C₄⋊C₄	—	2	1	no	—
15	C₃×C₉×C₄⋊C₄	C₂²	1	2	yes	complemented
16	C₂×C₃×C₉⋊C₈	—	2	2	no	—
17	C₂×C₃×C₉⋊C₈	C₂²	1	2	yes	complemented
18	C₂²×C₃×D₁₂	—	3	1	no	—
19	C₂×C₃²×C₄⋊C₄	D₃	1	1	yes	characteristic
20	C₂²×C₃×C₃⋊C₈	—	3	1	no	—
21	C₂²×D₃₆	C₂×C₃	1	1	yes	characteristic
22	C₃×#809	—	3	4	no	—
23	C₂×C₉×C₄⋊C₄	—	2	1	no	—
24	C₂×C₉×C₄⋊C₄	C₂×C₃	1	1	yes	characteristic, complemented
25	C₂²×C₉⋊C₈	C₂×C₃	1	1	yes	characteristic, complemented
26	#63369	C₂×C₃	1	4	yes	direct product factor
27	C₂³×C₃×C₉	D₄	1	1	yes	characteristic
28	C₂²×C₃×D₉	—	2	4	no	—
29	C₂²×C₃×D₉	—	2	2	no	—
30	C₂²×C₃×D₉	—	4	2	no	—
31	C₂²×C₃×D₉	—	4	2	no	—
32	C₂×C₃×C₄×C₉	—	2	2	no	—
33	C₂×C₃×C₄×C₉	—	4	2	no	—
34	C₂×C₃×C₄×C₉	C₂×C₄	1	2	yes	—
35	C₂×C₃×C₄×C₉	D₄	1	1	yes	characteristic
36	C₂×C₃×C₄×C₉	D₄	1	2	yes	—
37	C₂×C₃×C₄×C₉	C₂³	1	1	yes	characteristic
38	C₃×D₃₆	—	2	4	no	—
39	C₃×D₃₆	—	2	2	no	—
40	C₃×D₃₆	C₂×C₄	1	4	yes	complemented
41	C₃×C₉⋊C₈	—	2	2	no	—
42	C₂×C₃×#102	—	9	1	no	—
43	C₂×#809	—	3	1	no	—
44	C₂³×C₃×D₃	—	6	1	no	—
45	C₂²×C₃²×C₄	—	2	1	no	—
46	C₂²×C₃²×C₄	C₂×D₃	1	1	yes	characteristic
47	C₂×C₃×D₁₂	—	3	4	no	—
48	C₂×C₃×D₁₂	—	3	2	no	—
49	C₂×C₃×D₁₂	—	6	2	no	—
50	C₂×C₃×D₁₂	—	6	1	no	—
51	C₂³×D₉	—	2	1	no	—
52	C₃²×C₄⋊C₄	—	2	1	no	—
53	C₃²×C₄⋊C₄	C₂×D₃	1	2	yes	—
54	C₂×C₃×C₃⋊C₈	—	3	2	no	—
55	C₂×C₃×C₃⋊C₈	—	6	2	no	—
56	C₂²×C₄×C₉	—	2	1	no	—
57	C₂²×C₄×C₉	—	2	2	no	—
58	C₂²×C₄×C₉	—	2	1	no	—
59	C₂²×C₄×C₉	C₂²×C₃	1	1	yes	characteristic
60	C₂×D₃₆	—	2	1	no	—
61	C₂×D₃₆	—	2	2	no	—
62	C₂×D₃₆	C₃×C₄	1	4	yes	complemented
63	C₂×D₃₆	C₂²×C₃	1	2	yes	—
64	C₉×C₄⋊C₄	—	2	2	no	—
65	C₉×C₄⋊C₄	—	2	2	no	—
66	C₉×C₄⋊C₄	—	2	1	no	—
67	C₉×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
68	C₂×C₉⋊C₈	—	2	2	no	—
69	C₂×C₉⋊C₈	C₂²×C₃	1	2	yes	complemented
70	C₂²×C₃×C₉	C₂²⋊C₄	1	2	yes	—
71	C₂²×C₃×C₉	D₈	1	2	yes	—
72	C₂²×C₃×C₉	SD₁₆	1	2	yes	—
73	C₂²×C₃×C₉	C₂×D₄	1	1	yes	characteristic
74	C₂×C₃×D₉	—	2	4	no	—
75	C₂×C₃×D₉	—	4	8	no	—
76	C₂×C₃×D₉	—	4	2	no	—
77	C₂×C₃×D₉	—	4	2	no	—
78	C₃×C₄×C₉	—	4	2	no	—
79	C₃×C₄×C₉	C₂²⋊C₄	1	2	yes	—
80	C₃×C₄×C₉	C₂²×C₄	1	1	yes	characteristic
81	C₃×C₄×C₉	C₂×D₄	1	1	yes	characteristic
82	C₂²×C₃×D₄	—	9	1	no	—
83	C₂²×D₁₂	—	3	1	no	—
84	C₂²×C₃×C₈	—	9	1	no	—
85	C₂×C₃×C₄⋊C₄	—	2	1	no	—
86	C₂×C₃×C₄⋊C₄	D₉	1	1	yes	characteristic, complemented
87	C₂×C₃×C₄⋊C₄	C₃×D₃	1	1	yes	characteristic
88	C₂²×C₃⋊C₈	—	3	1	no	—
89	C₃×#102	—	9	4	no	—
90	#809	—	3	4	no	—
91	C₂³×C₃²	#67	1	1	yes	characteristic
92	C₂²×C₃×D₃	—	6	4	no	—
93	C₂²×C₃×D₃	—	6	2	no	—
94	C₂²×C₃×D₃	—	12	2	no	—
95	C₂²×C₃×D₃	—	12	2	no	—
96	C₂×C₃²×C₄	—	2	2	no	—
97	C₂×C₃²×C₄	—	4	2	no	—
98	C₂×C₃²×C₄	C₄×D₃	1	2	yes	—
99	C₂×C₃²×C₄	D₁₂	1	2	yes	—
100	C₂×C₃²×C₄	#67	1	1	yes	characteristic
101	C₂×C₃²×C₄	C₂²×D₃	1	1	yes	characteristic
102	C₃×D₁₂	—	3	4	no	—
103	C₃×D₁₂	—	6	4	no	—
104	C₃×D₁₂	—	6	2	no	—
105	C₂³×C₉	—	2	1	no	—
106	C₂³×C₉	C₃×D₄	1	1	yes	characteristic
107	C₂²×D₉	—	2	4	no	—
108	C₂²×D₉	—	2	2	no	—
109	C₂²×D₉	—	4	2	no	—
110	C₂²×D₉	—	4	2	no	—
111	C₃×C₃⋊C₈	—	6	2	no	—
112	C₂×C₄×C₉	—	2	4	no	—
113	C₂×C₄×C₉	—	2	2	no	—
114	C₂×C₄×C₉	—	2	2	no	—
115	C₂×C₄×C₉	—	2	2	no	—
116	C₂×C₄×C₉	—	2	1	no	—
117	C₂×C₄×C₉	—	2	1	no	—
118	C₂×C₄×C₉	—	4	4	no	—
119	C₂×C₄×C₉	—	4	2	no	—
120	C₂×C₄×C₉	C₂×C₃×C₄	1	2	yes	—
121	C₂×C₄×C₉	C₃×D₄	1	2	yes	—
122	C₂×C₄×C₉	C₃×D₄	1	1	yes	characteristic
123	C₂×C₄×C₉	C₂³×C₃	1	1	yes	characteristic
124	D₃₆	—	2	4	no	—
125	D₃₆	—	2	2	no	—
126	D₃₆	C₂×C₃×C₄	1	4	yes	complemented
127	C₉⋊C₈	—	2	2	no	—
128	C₂×#102	—	9	1	no	Sylow
129	C₂×C₃×C₉	#102	1	4	yes	complemented
130	C₂×C₃×C₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
131	C₂×C₃×C₉	C₂×D₈	1	1	yes	characteristic
132	C₂×C₃×C₉	C₂×SD₁₆	1	1	yes	characteristic
133	C₃×D₉	—	4	4	no	—
134	C₂⁴×C₃	—	18	1	no	—
135	C₂³×D₃	—	6	1	no	—
136	C₂×C₃×D₄	—	9	4	no	—
137	C₂×C₃×D₄	—	9	2	no	—
138	C₂×C₃×D₄	—	18	2	no	—
139	C₂×C₃×D₄	—	18	1	no	—
140	C₂²×C₃×C₄	—	2	2	no	—
141	C₂²×C₃×C₄	—	2	1	no	—
142	C₂²×C₃×C₄	—	2	1	no	—
143	C₂²×C₃×C₄	—	2	1	no	—
144	C₂²×C₃×C₄	C₂×D₉	1	1	yes	characteristic
145	C₂²×C₃×C₄	C₂×C₃×D₃	1	1	yes	characteristic
146	C₂×D₁₂	—	3	4	no	—
147	C₂×D₁₂	—	3	2	no	—
148	C₂×D₁₂	—	6	2	no	—
149	C₂×D₁₂	—	6	1	no	—
150	C₂×C₃×C₈	—	9	2	no	—
151	C₂×C₃×C₈	—	18	2	no	—
152	C₃×C₄⋊C₄	—	2	2	no	—
153	C₃×C₄⋊C₄	—	2	1	no	—
154	C₃×C₄⋊C₄	—	2	1	no	—
155	C₃×C₄⋊C₄	—	2	2	no	—
156	C₃×C₄⋊C₄	C₂×D₉	1	2	yes	complemented
157	C₃×C₄⋊C₄	C₂×C₃×D₃	1	2	yes	—
158	C₂×C₃⋊C₈	—	3	2	no	—
159	C₂×C₃⋊C₈	—	6	2	no	—
160	C₂²×C₃²	(C₂×D₃)⋊C₄	1	2	yes	—
161	C₂²×C₃²	#213	1	2	yes	—
162	C₂²×C₃²	#215	1	2	yes	—
163	C₂²×C₃²	C₂×#67	1	1	yes	characteristic
164	C₂×C₃×D₃	—	6	4	no	—
165	C₂×C₃×D₃	—	12	8	no	—
166	C₂×C₃×D₃	—	12	2	no	—
167	C₂×C₃×D₃	—	12	2	no	—
168	C₃²×C₄	—	4	2	no	—
169	C₃²×C₄	(C₂×D₃)⋊C₄	1	2	yes	—
170	C₃²×C₄	C₂×C₄×D₃	1	1	yes	characteristic
171	C₃²×C₄	C₂×D₁₂	1	1	yes	characteristic
172	C₂²×C₉	—	2	2	no	—
173	C₂²×C₉	—	2	2	no	—
174	C₂²×C₉	—	2	2	no	—
175	C₂²×C₉	—	2	1	no	—
176	C₂²×C₉	C₃×C₂²⋊C₄	1	2	yes	—
177	C₂²×C₉	C₃×D₈	1	2	yes	—
178	C₂²×C₉	C₃×SD₁₆	1	2	yes	—
179	C₂²×C₉	C₂×C₃×D₄	1	1	yes	characteristic
180	C₂×D₉	—	2	4	no	—
181	C₂×D₉	—	4	8	no	—
182	C₂×D₉	—	4	2	no	—
183	C₂×D₉	—	4	2	no	—
184	C₄×C₉	—	2	2	no	—
185	C₄×C₉	—	2	1	no	—
186	C₄×C₉	—	2	1	no	—
187	C₄×C₉	—	4	4	no	—
188	C₄×C₉	—	4	2	no	—
189	C₄×C₉	C₃×C₂²⋊C₄	1	2	yes	—
190	C₄×C₉	C₂²×C₃×C₄	1	1	yes	characteristic
191	C₄×C₉	C₂×C₃×D₄	1	1	yes	characteristic
192	C₂²×D₄	—	9	1	no	—
193	C₂²×C₈	—	9	1	no	—
194	C₂×C₄⋊C₄	C₃×D₉	1	1	yes	characteristic, complemented
195	#102	—	9	4	no	—
196	C₃×C₉	C₂×#102	1	1	yes	characteristic, complemented, Sylow
197	C₂³×C₃	—	2	1	no	—
198	C₂³×C₃	—	18	4	no	—
199	C₂³×C₃	—	18	2	no	—
200	C₂³×C₃	—	36	2	no	—
201	C₂³×C₃	—	36	2	no	—
202	C₂³×C₃	#611	1	1	yes	characteristic
203	C₂³×C₃	C₃×#67	1	1	yes	characteristic
204	C₂²×D₃	—	6	4	no	—
205	C₂²×D₃	—	6	2	no	—
206	C₂²×D₃	—	12	2	no	—
207	C₂²×D₃	—	12	2	no	—
208	C₃×D₄	—	9	4	no	—
209	C₃×D₄	—	18	4	no	—
210	C₃×D₄	—	18	2	no	—
211	C₂×C₃×C₄	—	2	4	no	—
212	C₂×C₃×C₄	—	2	2	no	—
213	C₂×C₃×C₄	—	2	2	no	—
214	C₂×C₃×C₄	—	2	2	no	—
215	C₂×C₃×C₄	—	2	2	no	—
216	C₂×C₃×C₄	—	2	1	no	—
217	C₂×C₃×C₄	—	2	1	no	—
218	C₂×C₃×C₄	—	4	4	no	—
219	C₂×C₃×C₄	—	4	2	no	—
220	C₂×C₃×C₄	—	4	2	no	—
221	C₂×C₃×C₄	C₄×D₉	1	2	yes	—
222	C₂×C₃×C₄	D₃₆	1	2	yes	—
223	C₂×C₃×C₄	#611	1	1	yes	characteristic
224	C₂×C₃×C₄	C₂²×D₉	1	1	yes	characteristic
225	C₂×C₃×C₄	C₃×C₄×D₃	1	2	yes	—
226	C₂×C₃×C₄	C₃×D₁₂	1	2	yes	—
227	C₂×C₃×C₄	C₃×#67	1	1	yes	characteristic
228	C₂×C₃×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
229	D₁₂	—	3	4	no	—
230	D₁₂	—	6	4	no	—
231	D₁₂	—	6	2	no	—
232	C₃×C₈	—	18	2	no	—
233	C₃⋊C₈	—	6	2	no	—
234	C₂×C₃²	#809	1	4	yes	—
235	C₂×C₃²	C₂×(C₂×D₃)⋊C₄	1	1	yes	characteristic
236	C₂×C₃²	C₂×#213	1	1	yes	characteristic
237	C₂×C₃²	C₂×#215	1	1	yes	characteristic
238	C₃×D₃	—	12	4	no	—
239	C₂×C₉	—	2	1	no	—
240	C₂×C₉	—	2	1	no	—
241	C₂×C₉	—	2	1	no	—
242	C₂×C₉	—	2	4	no	—
243	C₂×C₉	C₃×#102	1	4	yes	complemented
244	C₂×C₉	C₂×C₃×C₂²⋊C₄	1	1	yes	characteristic
245	C₂×C₉	C₂×C₃×D₈	1	1	yes	characteristic
246	C₂×C₉	C₂×C₃×SD₁₆	1	1	yes	characteristic
247	D₉	—	4	4	no	—
248	C₂⁴	—	18	1	no	—
249	C₂×D₄	—	9	4	no	—
250	C₂×D₄	—	9	2	no	—
251	C₂×D₄	—	18	2	no	—
252	C₂×D₄	—	18	1	no	—
253	C₂²×C₄	—	2	1	no	—
254	C₂²×C₄	C₂×C₃×D₉	1	1	yes	characteristic
255	C₂×C₈	—	9	2	no	—
256	C₂×C₈	—	18	2	no	—
257	C₄⋊C₄	—	2	1	no	—
258	C₄⋊C₄	C₂×C₃×D₉	1	2	yes	complemented
259	C₂²×C₃	—	2	1	no	—
260	C₂²×C₃	—	2	2	no	—
261	C₂²×C₃	—	2	2	no	—
262	C₂²×C₃	—	2	2	no	—
263	C₂²×C₃	—	18	4	no	—
264	C₂²×C₃	—	36	2	no	—
265	C₂²×C₃	—	36	2	no	—
266	C₂²×C₃	—	36	8	no	—
267	C₂²×C₃	(C₂×D₉)⋊C₄	1	2	yes	—
268	C₂²×C₃	#3673	1	2	yes	—
269	C₂²×C₃	#3675	1	2	yes	—
270	C₂²×C₃	C₂×#611	1	1	yes	characteristic
271	C₂²×C₃	C₃×(C₂×D₃)⋊C₄	1	2	yes	—
272	C₂²×C₃	C₃×#213	1	2	yes	—
273	C₂²×C₃	C₃×#215	1	2	yes	—
274	C₂²×C₃	C₂×C₃×#67	1	1	yes	characteristic
275	C₂×D₃	—	6	4	no	—
276	C₂×D₃	—	12	2	no	—
277	C₂×D₃	—	12	2	no	—
278	C₂×D₃	—	12	8	no	—
279	C₃×C₄	—	2	1	no	—
280	C₃×C₄	—	2	1	no	—
281	C₃×C₄	—	2	2	no	—
282	C₃×C₄	—	4	4	no	—
283	C₃×C₄	—	4	2	no	—
284	C₃×C₄	—	4	2	no	—
285	C₃×C₄	(C₂×D₉)⋊C₄	1	2	yes	—
286	C₃×C₄	C₂×C₄×D₉	1	1	yes	characteristic
287	C₃×C₄	C₂×D₃₆	1	1	yes	characteristic
288	C₃×C₄	C₃×(C₂×D₃)⋊C₄	1	2	yes	—
289	C₃×C₄	C₂×C₃×C₄×D₃	1	1	yes	characteristic
290	C₃×C₄	C₂×C₃×D₁₂	1	1	yes	characteristic
291	C₃²	C₂×#809	1	1	yes	characteristic
292	C₉	—	2	1	no	—
293	C₉	C₂×C₃×#102	1	1	yes	characteristic, complemented
294	C₂³	—	18	2	no	—
295	C₂³	—	18	4	no	—
296	C₂³	—	36	2	no	—
297	C₂³	—	36	2	no	—
298	C₂³	C₃×#611	1	1	yes	characteristic
299	D₄	—	9	4	no	—
300	D₄	—	18	2	no	—
301	D₄	—	18	4	no	—
302	C₂×C₄	—	2	2	no	—
303	C₂×C₄	—	4	2	no	—
304	C₂×C₄	C₃×C₄×D₉	1	2	yes	—
305	C₂×C₄	C₃×D₃₆	1	2	yes	—
306	C₂×C₄	C₃×#611	1	1	yes	characteristic
307	C₂×C₄	C₂²×C₃×D₉	1	1	yes	characteristic
308	C₈	—	18	2	no	—
309	C₂×C₃	—	2	1	no	—
310	C₂×C₃	—	2	1	no	—
311	C₂×C₃	—	2	1	no	—
312	C₂×C₃	—	2	4	no	—
313	C₂×C₃	—	36	4	no	—
314	C₂×C₃	#63369	1	4	yes	direct product factor
315	C₂×C₃	C₂×(C₂×D₉)⋊C₄	1	1	yes	characteristic
316	C₂×C₃	C₂×#3673	1	1	yes	characteristic
317	C₂×C₃	C₂×#3675	1	1	yes	characteristic
318	C₂×C₃	C₃×#809	1	4	yes	—
319	C₂×C₃	C₂×C₃×(C₂×D₃)⋊C₄	1	1	yes	characteristic
320	C₂×C₃	C₂×C₃×#213	1	1	yes	characteristic
321	C₂×C₃	C₂×C₃×#215	1	1	yes	characteristic
322	D₃	—	12	4	no	—
323	C₂²	—	18	4	no	—
324	C₂²	—	36	2	no	—
325	C₂²	—	36	2	no	—
326	C₂²	—	36	8	no	—
327	C₂²	C₃×(C₂×D₉)⋊C₄	1	2	yes	—
328	C₂²	C₃×#3673	1	2	yes	—
329	C₂²	C₃×#3675	1	2	yes	—
330	C₂²	C₂×C₃×#611	1	1	yes	characteristic
331	C₄	—	4	2	no	—
332	C₄	C₃×(C₂×D₉)⋊C₄	1	2	yes	—
333	C₄	C₂×C₃×C₄×D₉	1	1	yes	characteristic
334	C₄	C₂×C₃×D₃₆	1	1	yes	characteristic
335	C₃	—	2	1	no	—
336	C₃	C₂×#63369	1	1	yes	characteristic, direct product factor
337	C₃	C₂×C₃×#809	1	1	yes	characteristic
338	C₂	—	36	4	no	—
339	C₂	C₃×#63369	1	4	yes	direct product factor
340	C₂	C₂×C₃×(C₂×D₉)⋊C₄	1	1	yes	characteristic
341	C₂	C₂×C₃×#3673	1	1	yes	characteristic
342	C₂	C₂×C₃×#3675	1	1	yes	characteristic

	subgroup	G/H
center	C₂³×C₃	#611
commutator	C₄×C₉	C₂²×C₃×C₄
Frattini	C₂×C₃×C₄	C₂²×C₃×D₃
Fitting	C₂×C₃×C₉×C₄⋊C₄	C₂
socle	C₂³×C₃²	#67
prime radical	C₂²×C₃×D₃₆	C₂
cosocle	C₂×C₄×C₉	C₂³×C₃
hypercenter	C₂×C₃×C₄⋊C₄	D₉
hypocenter	C₉	C₂×C₃×#102
LCS	G ▷ C₄×C₉ ▷ C₂×C₉ ▷ C₉
UCS	C₁ ◁ C₂³×C₃ ◁ C₂²×C₃×C₄ ◁ C₂×C₃×C₄⋊C₄

Complements

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

N	H ≅ G/N	type
2. C₂×C₃×C₉×C₄⋊C₄	C₂	semidirect
3. C₂²×C₃×C₉⋊C₈	C₂	semidirect
4. C₃×#63369	C₂	direct (N × H)
6. C₂×#63369	C₃	direct (N × H)
12. C₂×C₃×D₃₆	C₄	semidirect
15. C₃×C₉×C₄⋊C₄	C₂²	semidirect
17. C₂×C₃×C₉⋊C₈	C₂²	semidirect
24. C₂×C₉×C₄⋊C₄	C₂×C₃	semidirect
25. C₂²×C₉⋊C₈	C₂×C₃	semidirect
26. #63369	C₂×C₃	direct (N × H)
40. C₃×D₃₆	C₂×C₄	semidirect
62. C₂×D₃₆	C₃×C₄	semidirect
67. C₉×C₄⋊C₄	C₂²×C₃	semidirect
69. C₂×C₉⋊C₈	C₂²×C₃	semidirect
86. C₂×C₃×C₄⋊C₄	D₉	semidirect
126. D₃₆	C₂×C₃×C₄	semidirect
129. C₂×C₃×C₉	#102	semidirect
156. C₃×C₄⋊C₄	C₂×D₉	semidirect
194. C₂×C₄⋊C₄	C₃×D₉	semidirect
196. C₃×C₉	C₂×#102	semidirect
243. C₂×C₉	C₃×#102	semidirect
258. C₄⋊C₄	C₂×C₃×D₉	semidirect
293. C₉	C₂×C₃×#102	semidirect
314. C₂×C₃	#63369	direct (N × H)
336. C₃	C₂×#63369	direct (N × H)
339. C₂	C₃×#63369	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×D₃₆	2
C₂×C₃×C₉×C₄⋊C₄	2
C₂²×C₃×C₉⋊C₈	2
C₃×#63369	2
C₂×C₃×#809	3
C₂×#63369	3

Subgroups — C2×C3×#63369 #13142543

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₃×#63369 #13142543