Subgroups — C₂×#63383⋊C₃ #13143236

Order 1728.

592 conjugacy classes of subgroups.

The subgroup lattice has 350 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₄⋊AGL(1,ℤ/9)	C₂	1	1	yes	maximal, characteristic
2	C₂×M₁₆×3₋¹⁺²	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#3667⋊C₃	C₂	1	1	yes	maximal, characteristic, complemented
4	#63383⋊C₃	C₂	1	4	yes	maximal, direct product factor
5	C₂×C₃×#823	—	3	1	no	maximal
6	C₂×#63383	C₃	1	1	yes	maximal, characteristic, complemented
7	C₂³×AGL(1,ℤ/9)	C₄	1	2	yes	—
8	C₂²×C₄×3₋¹⁺²	C₂²	1	1	yes	characteristic
9	C₂×C₄⋊AGL(1,ℤ/9)	—	2	1	no	—
10	C₂×C₄⋊AGL(1,ℤ/9)	—	2	1	no	—
11	C₂×C₄⋊AGL(1,ℤ/9)	—	2	1	no	—
12	C₂×C₄⋊AGL(1,ℤ/9)	—	2	1	no	—
13	C₂×C₄⋊AGL(1,ℤ/9)	C₄	1	2	yes	—
14	C₂×C₄⋊AGL(1,ℤ/9)	C₂²	1	2	yes	—
15	M₁₆×3₋¹⁺²	—	2	1	no	—
16	M₁₆×3₋¹⁺²	C₂²	1	2	yes	complemented
17	C₂×C₈×3₋¹⁺²	—	2	1	no	—
18	#3667⋊C₃	—	2	1	no	—
19	#3667⋊C₃	C₂²	1	2	yes	complemented
20	C₂×3₋¹⁺²⋊C₈	—	2	1	no	—
21	C₂²×C₃×D₁₂	—	3	1	no	—
22	C₂×C₃²×M₁₆	D₃	1	1	yes	characteristic
23	C₂×C₃×#208	—	3	1	no	—
24	C₂²×D₃₆	C₂×C₃	1	1	yes	characteristic
25	C₃×#823	—	3	4	no	—
26	C₂×C₉×M₁₆	—	2	1	no	—
27	C₂×C₉×M₁₆	C₂×C₃	1	1	yes	characteristic, complemented
28	C₂×#3667	C₂×C₃	1	1	yes	characteristic, complemented
29	#63383	C₂×C₃	1	4	yes	complemented
30	C₂³×3₋¹⁺²	C₂×C₄	1	1	yes	characteristic
31	C₂²×AGL(1,ℤ/9)	—	2	2	no	—
32	C₂²×AGL(1,ℤ/9)	—	2	2	no	—
33	C₂²×AGL(1,ℤ/9)	—	4	4	no	—
34	C₂²×AGL(1,ℤ/9)	C₂×C₄	1	4	yes	—
35	C₂×C₄×3₋¹⁺²	C₂×C₄	1	1	yes	characteristic
36	C₂×C₄×3₋¹⁺²	D₄	1	1	yes	characteristic
37	C₂×C₄×3₋¹⁺²	D₄	1	1	yes	characteristic
38	C₂×C₄×3₋¹⁺²	D₄	1	1	yes	characteristic
39	C₂×C₄×3₋¹⁺²	D₄	1	1	yes	characteristic
40	C₂×C₄×3₋¹⁺²	C₂³	1	1	yes	characteristic
41	C₄⋊AGL(1,ℤ/9)	—	2	2	no	—
42	C₄⋊AGL(1,ℤ/9)	—	2	2	no	—
43	C₄⋊AGL(1,ℤ/9)	—	2	2	no	—
44	C₄⋊AGL(1,ℤ/9)	—	2	2	no	—
45	C₈×3₋¹⁺²	—	2	2	no	—
46	3₋¹⁺²⋊C₈	—	2	2	no	—
47	C₂×C₃×#100	—	9	1	no	—
48	C₂×#823	—	3	1	no	—
49	C₂³×C₃×D₃	—	3	2	no	—
50	C₂²×C₃²×C₄	C₂×D₃	1	1	yes	characteristic
51	C₂×C₃×D₁₂	—	3	2	no	—
52	C₂×C₃×D₁₂	—	3	2	no	—
53	C₂×C₃×D₁₂	—	6	1	no	—
54	C₂×C₃×D₁₂	—	6	1	no	—
55	C₂×C₃×D₁₂	—	6	1	no	—
56	C₂×C₃×D₁₂	—	6	1	no	—
57	C₂³×D₉	C₃×C₄	1	2	yes	—
58	C₃²×M₁₆	—	2	1	no	—
59	C₃²×M₁₆	C₂×D₃	1	2	yes	—
60	C₂×C₃²×C₈	—	2	1	no	—
61	C₃×#208	—	3	2	no	—
62	C₃×#208	—	6	1	no	—
63	C₂×C₃×C₃⋊C₈	—	6	1	no	—
64	C₂²×C₄×C₉	—	2	1	no	—
65	C₂²×C₄×C₉	C₂²×C₃	1	1	yes	characteristic
66	C₂×D₃₆	—	2	1	no	—
67	C₂×D₃₆	—	2	1	no	—
68	C₂×D₃₆	—	2	1	no	—
69	C₂×D₃₆	—	2	1	no	—
70	C₂×D₃₆	C₃×C₄	1	2	yes	—
71	C₂×D₃₆	C₂²×C₃	1	2	yes	—
72	C₉×M₁₆	—	2	2	no	—
73	C₉×M₁₆	—	2	2	no	—
74	C₉×M₁₆	—	2	1	no	—
75	C₉×M₁₆	C₂²×C₃	1	2	yes	complemented
76	C₂×C₈×C₉	—	2	2	no	—
77	C₂×C₈×C₉	—	2	1	no	—
78	#3667	—	2	1	no	—
79	#3667	C₂²×C₃	1	2	yes	complemented
80	C₂×C₉⋊C₈	—	2	1	no	—
81	C₂²×3₋¹⁺²	—	2	2	no	—
82	C₂²×3₋¹⁺²	C₂²⋊C₄	1	1	yes	characteristic
83	C₂²×3₋¹⁺²	C₂²⋊C₄	1	1	yes	characteristic
84	C₂²×3₋¹⁺²	C₂²×C₄	1	1	yes	characteristic
85	C₂×AGL(1,ℤ/9)	—	2	4	no	—
86	C₂×AGL(1,ℤ/9)	—	4	4	no	—
87	C₂×AGL(1,ℤ/9)	—	4	4	no	—
88	C₂×AGL(1,ℤ/9)	—	4	4	no	—
89	C₄×3₋¹⁺²	C₂²⋊C₄	1	1	yes	characteristic
90	C₄×3₋¹⁺²	C₂²⋊C₄	1	1	yes	characteristic
91	C₄×3₋¹⁺²	C₂×D₄	1	1	yes	characteristic
92	C₄×3₋¹⁺²	C₂×D₄	1	1	yes	characteristic
93	C₂²×C₃×D₄	—	9	1	no	—
94	C₂²×D₁₂	—	3	1	no	—
95	C₂×C₃×M₁₆	—	3	1	no	—
96	C₂×C₃×M₁₆	—	9	1	no	—
97	C₂×C₃×M₁₆	C₃×D₃	1	1	yes	characteristic
98	C₂×#208	—	3	1	no	—
99	C₃×#100	—	9	4	no	—
100	#823	—	3	4	no	—
101	C₂³×C₃²	C₄×D₃	1	1	yes	characteristic
102	C₂²×C₃×D₃	—	3	4	no	—
103	C₂²×C₃×D₃	—	6	2	no	—
104	C₂²×C₃×D₃	—	6	2	no	—
105	C₂²×C₃×D₃	—	12	4	no	—
106	C₂×C₃²×C₄	C₄×D₃	1	1	yes	characteristic
107	C₂×C₃²×C₄	D₁₂	1	1	yes	characteristic
108	C₂×C₃²×C₄	D₁₂	1	1	yes	characteristic
109	C₂×C₃²×C₄	#67	1	1	yes	characteristic
110	C₂×C₃²×C₄	#67	1	1	yes	characteristic
111	C₂×C₃²×C₄	C₂²×D₃	1	1	yes	characteristic
112	C₃×D₁₂	—	6	2	no	—
113	C₃×D₁₂	—	6	2	no	—
114	C₃×D₁₂	—	6	2	no	—
115	C₃×D₁₂	—	6	2	no	—
116	C₂³×C₉	—	2	1	no	—
117	C₂³×C₉	C₂×C₃×C₄	1	1	yes	characteristic
118	C₂²×D₉	—	2	2	no	—
119	C₂²×D₉	—	2	2	no	—
120	C₂²×D₉	—	4	4	no	—
121	C₂²×D₉	C₂×C₃×C₄	1	4	yes	—
122	C₃²×C₈	—	2	2	no	—
123	C₃×C₃⋊C₈	—	6	2	no	—
124	C₂×C₄×C₉	—	2	1	no	—
125	C₂×C₄×C₉	—	2	1	no	—
126	C₂×C₄×C₉	—	2	1	no	—
127	C₂×C₄×C₉	—	2	1	no	—
128	C₂×C₄×C₉	—	2	1	no	—
129	C₂×C₄×C₉	—	2	1	no	—
130	C₂×C₄×C₉	C₂×C₃×C₄	1	1	yes	characteristic
131	C₂×C₄×C₉	C₃×D₄	1	1	yes	characteristic
132	C₂×C₄×C₉	C₃×D₄	1	1	yes	characteristic
133	C₂×C₄×C₉	C₃×D₄	1	1	yes	characteristic
134	C₂×C₄×C₉	C₃×D₄	1	1	yes	characteristic
135	C₂×C₄×C₉	C₂³×C₃	1	1	yes	characteristic
136	D₃₆	—	2	2	no	—
137	D₃₆	—	2	2	no	—
138	D₃₆	—	2	2	no	—
139	D₃₆	—	2	2	no	—
140	C₈×C₉	—	2	4	no	—
141	C₈×C₉	—	2	2	no	—
142	C₉⋊C₈	—	2	2	no	—
143	C₂×#100	—	9	1	no	Sylow
144	C₂×3₋¹⁺²	—	2	1	no	—
145	C₂×3₋¹⁺²	—	2	1	no	—
146	C₂×3₋¹⁺²	#100	1	2	yes	complemented
147	C₂×3₋¹⁺²	C₂×C₂²⋊C₄	1	1	yes	characteristic
148	AGL(1,ℤ/9)	—	4	4	no	—
149	C₂⁴×C₃	—	9	2	no	—
150	C₂³×D₃	—	3	2	no	—
151	C₂×C₃×D₄	—	9	2	no	—
152	C₂×C₃×D₄	—	9	2	no	—
153	C₂×C₃×D₄	—	18	1	no	—
154	C₂×C₃×D₄	—	18	1	no	—
155	C₂×C₃×D₄	—	18	1	no	—
156	C₂×C₃×D₄	—	18	1	no	—
157	C₂²×C₃×C₄	—	3	1	no	—
158	C₂²×C₃×C₄	C₂×C₃×D₃	1	1	yes	characteristic
159	C₂×D₁₂	—	3	2	no	—
160	C₂×D₁₂	—	3	2	no	—
161	C₂×D₁₂	—	6	1	no	—
162	C₂×D₁₂	—	6	1	no	—
163	C₂×D₁₂	—	6	1	no	—
164	C₂×D₁₂	—	6	1	no	—
165	C₃×M₁₆	—	2	1	no	—
166	C₃×M₁₆	—	3	2	no	—
167	C₃×M₁₆	—	6	1	no	—
168	C₃×M₁₆	—	9	2	no	—
169	C₃×M₁₆	—	18	1	no	—
170	C₃×M₁₆	C₂×C₃×D₃	1	2	yes	—
171	C₂×C₃×C₈	—	2	1	no	—
172	C₂×C₃×C₈	—	6	1	no	—
173	C₂×C₃×C₈	—	18	1	no	—
174	#208	—	3	2	no	—
175	#208	—	6	1	no	—
176	C₂×C₃⋊C₈	—	6	1	no	—
177	C₂²×C₃²	—	2	2	no	—
178	C₂²×C₃²	(C₂×D₃)⋊C₄	1	1	yes	characteristic
179	C₂²×C₃²	(C₂×D₃)⋊C₄	1	1	yes	characteristic
180	C₂²×C₃²	C₂×C₄×D₃	1	1	yes	characteristic
181	C₂×C₃×D₃	—	6	4	no	—
182	C₂×C₃×D₃	—	12	4	no	—
183	C₂×C₃×D₃	—	12	4	no	—
184	C₂×C₃×D₃	—	12	4	no	—
185	C₃²×C₄	(C₂×D₃)⋊C₄	1	1	yes	characteristic
186	C₃²×C₄	(C₂×D₃)⋊C₄	1	1	yes	characteristic
187	C₃²×C₄	C₂×D₁₂	1	1	yes	characteristic
188	C₃²×C₄	C₂×#67	1	1	yes	characteristic
189	C₂²×C₉	—	2	2	no	—
190	C₂²×C₉	—	2	1	no	—
191	C₂²×C₉	—	2	1	no	—
192	C₂²×C₉	—	2	1	no	—
193	C₂²×C₉	—	4	2	no	—
194	C₂²×C₉	C₃×C₂²⋊C₄	1	1	yes	characteristic
195	C₂²×C₉	C₃×C₂²⋊C₄	1	1	yes	characteristic
196	C₂²×C₉	C₂²×C₃×C₄	1	1	yes	characteristic
197	C₂×D₉	—	2	4	no	—
198	C₂×D₉	—	4	4	no	—
199	C₂×D₉	—	4	4	no	—
200	C₂×D₉	—	4	4	no	—
201	C₄×C₉	—	2	1	no	—
202	C₄×C₉	—	2	1	no	—
203	C₄×C₉	—	2	1	no	—
204	C₄×C₉	—	2	1	no	—
205	C₄×C₉	C₃×C₂²⋊C₄	1	1	yes	characteristic
206	C₄×C₉	C₃×C₂²⋊C₄	1	1	yes	characteristic
207	C₄×C₉	C₂×C₃×D₄	1	1	yes	characteristic
208	C₄×C₉	C₂×C₃×D₄	1	1	yes	characteristic
209	C₂²×D₄	—	9	1	no	—
210	C₂×M₁₆	—	9	1	no	—
211	C₂×M₁₆	AGL(1,ℤ/9)	1	1	yes	characteristic, complemented
212	#100	—	9	4	no	—
213	3₋¹⁺²	C₂×#100	1	1	yes	characteristic, complemented, Sylow
214	C₂³×C₃	—	3	1	no	—
215	C₂³×C₃	—	9	4	no	—
216	C₂³×C₃	—	18	2	no	—
217	C₂³×C₃	—	18	2	no	—
218	C₂³×C₃	—	36	4	no	—
219	C₂³×C₃	C₃×C₄×D₃	1	1	yes	characteristic
220	C₂²×D₃	—	3	4	no	—
221	C₂²×D₃	—	6	2	no	—
222	C₂²×D₃	—	6	2	no	—
223	C₂²×D₃	—	12	4	no	—
224	C₃×D₄	—	18	2	no	—
225	C₃×D₄	—	18	2	no	—
226	C₃×D₄	—	18	2	no	—
227	C₃×D₄	—	18	2	no	—
228	C₂×C₃×C₄	—	3	1	no	—
229	C₂×C₃×C₄	—	3	1	no	—
230	C₂×C₃×C₄	—	3	1	no	—
231	C₂×C₃×C₄	—	3	1	no	—
232	C₂×C₃×C₄	—	3	1	no	—
233	C₂×C₃×C₄	—	3	1	no	—
234	C₂×C₃×C₄	C₃×C₄×D₃	1	1	yes	characteristic
235	C₂×C₃×C₄	C₃×D₁₂	1	1	yes	characteristic
236	C₂×C₃×C₄	C₃×D₁₂	1	1	yes	characteristic
237	C₂×C₃×C₄	C₃×#67	1	1	yes	characteristic
238	C₂×C₃×C₄	C₃×#67	1	1	yes	characteristic
239	C₂×C₃×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
240	D₁₂	—	6	2	no	—
241	D₁₂	—	6	2	no	—
242	D₁₂	—	6	2	no	—
243	D₁₂	—	6	2	no	—
244	C₃×C₈	—	2	2	no	—
245	C₃×C₈	—	6	2	no	—
246	C₃×C₈	—	18	2	no	—
247	C₃⋊C₈	—	6	2	no	—
248	C₂×C₃²	—	2	1	no	—
249	C₂×C₃²	—	2	1	no	—
250	C₂×C₃²	#823	1	2	yes	—
251	C₂×C₃²	C₂×(C₂×D₃)⋊C₄	1	1	yes	characteristic
252	C₃×D₃	—	12	4	no	—
253	C₂×C₉	—	2	1	no	—
254	C₂×C₉	—	2	1	no	—
255	C₂×C₉	—	2	1	no	—
256	C₂×C₉	—	2	2	no	—
257	C₂×C₉	—	4	1	no	—
258	C₂×C₉	—	4	1	no	—
259	C₂×C₉	C₃×#100	1	2	yes	complemented
260	C₂×C₉	C₂×C₃×C₂²⋊C₄	1	1	yes	characteristic
261	D₉	—	4	4	no	—
262	C₂⁴	—	9	2	no	—
263	C₂×D₄	—	9	2	no	—
264	C₂×D₄	—	9	2	no	—
265	C₂×D₄	—	18	1	no	—
266	C₂×D₄	—	18	1	no	—
267	C₂×D₄	—	18	1	no	—
268	C₂×D₄	—	18	1	no	—
269	C₂²×C₄	C₂×AGL(1,ℤ/9)	1	1	yes	characteristic
270	M₁₆	—	2	1	no	—
271	M₁₆	—	9	2	no	—
272	M₁₆	—	18	1	no	—
273	M₁₆	C₂×AGL(1,ℤ/9)	1	2	yes	complemented
274	C₂×C₈	—	2	1	no	—
275	C₂×C₈	—	18	1	no	—
276	C₂²×C₃	—	2	2	no	—
277	C₂²×C₃	—	3	1	no	—
278	C₂²×C₃	—	3	1	no	—
279	C₂²×C₃	—	3	1	no	—
280	C₂²×C₃	—	6	2	no	—
281	C₂²×C₃	—	18	4	no	—
282	C₂²×C₃	—	36	4	no	—
283	C₂²×C₃	—	36	4	no	—
284	C₂²×C₃	—	36	4	no	—
285	C₂²×C₃	C₃×(C₂×D₃)⋊C₄	1	1	yes	characteristic
286	C₂²×C₃	C₃×(C₂×D₃)⋊C₄	1	1	yes	characteristic
287	C₂²×C₃	C₂×C₃×C₄×D₃	1	1	yes	characteristic
288	C₂×D₃	—	6	4	no	—
289	C₂×D₃	—	12	4	no	—
290	C₂×D₃	—	12	4	no	—
291	C₂×D₃	—	12	4	no	—
292	C₃×C₄	—	3	1	no	—
293	C₃×C₄	—	3	1	no	—
294	C₃×C₄	—	3	1	no	—
295	C₃×C₄	—	3	1	no	—
296	C₃×C₄	C₃×(C₂×D₃)⋊C₄	1	1	yes	characteristic
297	C₃×C₄	C₃×(C₂×D₃)⋊C₄	1	1	yes	characteristic
298	C₃×C₄	C₂×C₃×D₁₂	1	1	yes	characteristic
299	C₃×C₄	C₂×C₃×#67	1	1	yes	characteristic
300	C₃²	C₂×#823	1	1	yes	characteristic
301	C₉	—	2	1	no	—
302	C₉	C₂×C₃×#100	1	1	yes	characteristic, complemented
303	C₂³	—	9	4	no	—
304	C₂³	—	18	2	no	—
305	C₂³	—	18	2	no	—
306	C₂³	—	36	4	no	—
307	C₂³	C₄×AGL(1,ℤ/9)	1	1	yes	characteristic
308	D₄	—	18	2	no	—
309	D₄	—	18	2	no	—
310	D₄	—	18	2	no	—
311	D₄	—	18	2	no	—
312	C₂×C₄	C₄×AGL(1,ℤ/9)	1	1	yes	characteristic
313	C₂×C₄	C₄⋊AGL(1,ℤ/9)	1	1	yes	characteristic
314	C₂×C₄	C₄⋊AGL(1,ℤ/9)	1	1	yes	characteristic
315	C₂×C₄	#611⋊C₃	1	1	yes	characteristic
316	C₂×C₄	#611⋊C₃	1	1	yes	characteristic
317	C₂×C₄	C₂²×AGL(1,ℤ/9)	1	1	yes	characteristic
318	C₈	—	2	2	no	—
319	C₈	—	18	2	no	—
320	C₂×C₃	—	2	1	no	—
321	C₂×C₃	—	2	1	no	—
322	C₂×C₃	—	3	2	no	—
323	C₂×C₃	—	3	1	no	—
324	C₂×C₃	—	6	1	no	—
325	C₂×C₃	—	6	1	no	—
326	C₂×C₃	—	36	4	no	—
327	C₂×C₃	C₃×#823	1	2	yes	—
328	C₂×C₃	C₂×C₃×(C₂×D₃)⋊C₄	1	1	yes	characteristic
329	D₃	—	12	4	no	—
330	C₂²	—	2	2	no	—
331	C₂²	—	18	4	no	—
332	C₂²	—	36	4	no	—
333	C₂²	—	36	4	no	—
334	C₂²	—	36	4	no	—
335	C₂²	(C₂×AGL(1,ℤ/9))⋊C₄	1	1	yes	characteristic
336	C₂²	(C₂×AGL(1,ℤ/9))⋊C₄	1	1	yes	characteristic
337	C₂²	C₂×C₄×AGL(1,ℤ/9)	1	1	yes	characteristic
338	C₄	(C₂×AGL(1,ℤ/9))⋊C₄	1	1	yes	characteristic
339	C₄	(C₂×AGL(1,ℤ/9))⋊C₄	1	1	yes	characteristic
340	C₄	C₂×C₄⋊AGL(1,ℤ/9)	1	1	yes	characteristic
341	C₄	C₂×#611⋊C₃	1	1	yes	characteristic
342	C₃	—	3	1	no	—
343	C₃	C₂×C₃×#823	1	1	yes	characteristic
344	C₂	—	2	1	no	—
345	C₂	—	2	1	no	—
346	C₂	—	36	4	no	—
347	C₂	#63383⋊C₃	1	2	yes	direct product factor
348	C₂	C₂×(C₂×AGL(1,ℤ/9))⋊C₄	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	(C₂×AGL(1,ℤ/9))⋊C₄
commutator	C₂²×C₉	C₂²×C₃×C₄
Frattini	C₂×C₃×C₄	C₂²×C₃×D₃
Fitting	C₂×M₁₆×3₋¹⁺²	C₂
socle	C₂²×C₃	C₃×(C₂×D₃)⋊C₄
prime radical	C₂²×C₄⋊AGL(1,ℤ/9)	C₂
cosocle	C₂×C₄×C₉	C₂³×C₃
hypercenter	C₂×M₁₆	AGL(1,ℤ/9)
hypocenter	C₉	C₂×C₃×#100
LCS	G ▷ C₂²×C₉ ▷ C₂×C₉ ▷ C₉
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂×M₁₆

Complements

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

N	H ≅ G/N	type
2. C₂×M₁₆×3₋¹⁺²	C₂	semidirect
3. C₂×#3667⋊C₃	C₂	semidirect
4. #63383⋊C₃	C₂	direct (N × H)
6. C₂×#63383	C₃	semidirect
16. M₁₆×3₋¹⁺²	C₂²	semidirect
19. #3667⋊C₃	C₂²	semidirect
27. C₂×C₉×M₁₆	C₂×C₃	semidirect
28. C₂×#3667	C₂×C₃	semidirect
29. #63383	C₂×C₃	semidirect
75. C₉×M₁₆	C₂²×C₃	semidirect
79. #3667	C₂²×C₃	semidirect
146. C₂×3₋¹⁺²	#100	semidirect
211. C₂×M₁₆	AGL(1,ℤ/9)	semidirect
213. 3₋¹⁺²	C₂×#100	semidirect
259. C₂×C₉	C₃×#100	semidirect
273. M₁₆	C₂×AGL(1,ℤ/9)	semidirect
302. C₉	C₂×C₃×#100	semidirect
347. C₂	#63383⋊C₃	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×C₄⋊AGL(1,ℤ/9)	2
C₂×M₁₆×3₋¹⁺²	2
C₂×#3667⋊C₃	2
#63383⋊C₃	2
C₂×C₃×#823	3
C₂×#63383	3

Subgroups — C2×#63383⋊C3 #13143236

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#63383⋊C₃ #13143236