Subgroups — #11796014

Order 1152.

489 conjugacy classes of subgroups.

The subgroup lattice has 403 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#63803	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃×#798	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×D₃×C₃⋊C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
4	#10589373	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×(C₂×D₃)⋊C₁₆	C₂	1	1	yes	maximal, characteristic, complemented
6	#10589108	C₂	1	1	yes	maximal, characteristic, complemented
7	(C₂×D₃)⋊(C₃⋊C₁₆)	C₂	1	1	yes	maximal, characteristic, complemented
8	#71432	—	3	1	no	maximal
9	#69107	—	3	1	no	maximal
10	C₂×#3798	C₄	1	1	yes	characteristic
11	C₂×C₈×C₃⋊D₃	C₂²	1	1	yes	characteristic
12	C₂×C₃×D₃×C₈	C₂²	1	1	yes	characteristic
13	C₂×C₃×D₃×C₈	C₂²	1	1	yes	characteristic
14	C₂×#3712	C₄	1	1	yes	characteristic
15	C₂×#3711	C₄	1	1	yes	characteristic
16	C₂×#3711	C₄	1	1	yes	characteristic
17	#63803	—	2	2	no	—
18	#63803	—	2	2	no	—
19	C₂×C₃²×C₁₆	C₂²	1	1	yes	characteristic
20	C₂×C₃⋊(C₃⋊C₁₆)	C₂²	1	1	yes	characteristic
21	C₂×C₃×C₃⋊C₁₆	C₂²	1	1	yes	characteristic
22	C₂×C₃×C₃⋊C₁₆	C₂²	1	1	yes	characteristic
23	C₃×#798	—	2	2	no	—
24	D₃×C₃⋊C₁₆	—	2	2	no	—
25	C₂×#901	—	3	1	no	—
26	C₂×#901	—	3	1	no	—
27	C₂×C₃×M₃₂	—	3	1	no	—
28	C₂²×C₃⋊C₁₆	—	3	1	no	—
29	C₂×#798	D₃	1	1	yes	characteristic, complemented
30	C₂×D₃×C₁₆	—	3	1	no	—
31	C₃×C₂²⋊C₁₆	—	3	1	no	—
32	#4549	—	3	1	no	—
33	(C₂×D₃)⋊C₁₆	—	3	1	no	—
34	(C₂×D₃)⋊C₁₆	—	3	1	no	—
35	(C₂×D₃)⋊C₁₆	—	3	1	no	—
36	(C₂×D₃)⋊C₁₆	—	3	1	no	—
37	(C₂×D₃)⋊C₁₆	—	3	1	no	—
38	(C₂×D₃)⋊C₁₆	—	6	1	no	—
39	(C₂×D₃)⋊C₁₆	D₃	1	1	yes	characteristic, complemented
40	C₂×C₄×C₃⋊D₃	C₂×C₄	1	1	yes	characteristic
41	C₂×C₃×C₄×D₃	C₂×C₄	1	1	yes	characteristic
42	C₂×C₃×C₄×D₃	C₂×C₄	1	1	yes	characteristic
43	C₂×#627	C₈	1	1	yes	characteristic
44	C₂×#626	C₈	1	1	yes	characteristic
45	C₂×#626	C₈	1	1	yes	characteristic
46	C₂×#625	C₈	1	1	yes	characteristic
47	#3798	—	2	2	no	—
48	#3798	—	2	2	no	—
49	C₂×C₃²×C₈	C₂³	1	1	yes	characteristic
50	C₂×C₃⋊(C₃⋊C₈)	C₂×C₄	1	1	yes	characteristic
51	C₈×C₃⋊D₃	—	2	1	no	—
52	C₈×C₃⋊D₃	—	2	1	no	—
53	C₂×C₃×C₃⋊C₈	C₂×C₄	1	1	yes	characteristic
54	C₂×C₃×C₃⋊C₈	C₂×C₄	1	1	yes	characteristic
55	C₃×D₃×C₈	—	2	1	no	—
56	C₃×D₃×C₈	—	2	1	no	—
57	C₃×D₃×C₈	D₄	1	2	yes	—
58	C₃×D₃×C₈	D₄	1	2	yes	—
59	#3712	—	2	2	no	—
60	#3711	—	2	2	no	—
61	#3711	—	2	2	no	—
62	C₃²×C₁₆	—	2	1	no	—
63	C₃⋊(C₃⋊C₁₆)	—	2	1	no	—
64	C₃×C₃⋊C₁₆	—	2	1	no	—
65	C₃×C₃⋊C₁₆	—	2	1	no	—
66	#2113	—	9	1	no	Sylow
67	C₂×#235	—	3	1	no	—
68	C₂×#235	—	3	1	no	—
69	C₂²×C₃×C₈	—	3	1	no	—
70	C₂²×C₃×C₈	—	3	1	no	—
71	C₂×#208	—	3	1	no	—
72	C₂×#208	—	3	1	no	—
73	#901	—	6	2	no	—
74	#901	—	6	2	no	—
75	#901	—	6	2	no	—
76	#901	—	6	2	no	—
77	C₂×ΓL(1,𝔽₂₅)	—	3	1	no	—
78	C₂×ΓL(1,𝔽₂₅)	—	3	1	no	—
79	C₂×ΓL(1,𝔽₂₅)	—	3	1	no	—
80	C₂×ΓL(1,𝔽₂₅)	—	3	1	no	—
81	C₂×D₃×C₈	—	3	1	no	—
82	C₂×D₃×C₈	—	3	1	no	—
83	C₂×D₃×C₈	—	6	1	no	—
84	C₂×D₃×C₈	C₂×D₃	1	1	yes	characteristic
85	C₂×D₃×C₈	C₂×D₃	1	1	yes	characteristic
86	C₃×M₃₂	—	6	2	no	—
87	C₂×C₃×C₁₆	—	2	1	no	—
88	C₂×C₃×C₁₆	—	3	1	no	—
89	C₂×C₃×C₁₆	—	3	1	no	—
90	C₂×C₃×C₁₆	C₂×D₃	1	1	yes	characteristic
91	C₂×C₃×C₁₆	C₂×D₃	1	1	yes	characteristic
92	C₂×C₃⋊C₁₆	—	3	1	no	—
93	C₂×C₃⋊C₁₆	—	3	1	no	—
94	C₂×C₃⋊C₁₆	—	6	1	no	—
95	C₂×C₃⋊C₁₆	—	6	2	no	—
96	C₂×C₃⋊C₁₆	C₂×D₃	1	1	yes	characteristic
97	C₂×C₃⋊C₁₆	C₂×D₃	1	1	yes	characteristic
98	#798	—	2	2	no	—
99	D₃×C₁₆	—	6	2	no	—
100	C₂²×C₃⋊D₃	C₂×C₈	1	1	yes	characteristic
101	C₂²×C₃×D₃	C₂×C₈	1	1	yes	characteristic
102	C₂²×C₃×D₃	C₂×C₈	1	1	yes	characteristic
103	C₂×C₃²×C₄	C₂²×C₄	1	1	yes	characteristic
104	C₂×C₃⋊Dic₃	C₂×C₈	1	1	yes	characteristic
105	C₄×C₃⋊D₃	—	2	1	no	—
106	C₄×C₃⋊D₃	—	2	1	no	—
107	C₂×C₃×Dic₃	C₂×C₈	1	1	yes	characteristic
108	C₂×C₃×Dic₃	C₂×C₈	1	1	yes	characteristic
109	C₃×C₄×D₃	—	2	1	no	—
110	C₃×C₄×D₃	—	2	1	no	—
111	C₃×C₄×D₃	C₂²⋊C₄	1	2	yes	—
112	C₃×C₄×D₃	M₁₆	1	2	yes	—
113	#627	—	2	2	no	—
114	#626	—	2	2	no	—
115	#626	—	2	2	no	—
116	#625	—	2	2	no	—
117	C₃²×C₈	C₂×D₄	1	1	yes	characteristic
118	C₃²×C₈	C₂×D₄	1	1	yes	characteristic
119	C₃⋊(C₃⋊C₈)	—	2	1	no	—
120	C₃×C₃⋊C₈	—	2	1	no	—
121	C₃×C₃⋊C₈	C₂²⋊C₄	1	2	yes	—
122	C₂×#131	—	9	1	no	—
123	C₂×M₃₂	—	3	1	no	—
124	C₂²×C₁₆	—	9	1	no	—
125	C₂²⋊C₁₆	—	3	1	no	—
126	C₂²⋊C₁₆	—	9	1	no	—
127	C₂²⋊C₁₆	—	9	1	no	—
128	C₂²⋊C₁₆	—	9	1	no	—
129	C₂²×C₃×C₄	—	3	1	no	—
130	C₂²×C₃×C₄	—	3	1	no	—
131	C₂×#67	—	3	1	no	—
132	C₂×#67	—	3	1	no	—
133	C₂×#67	—	3	1	no	—
134	C₂×#67	—	3	1	no	—
135	#235	—	6	2	no	—
136	#235	—	6	2	no	—
137	#235	—	6	2	no	—
138	#235	—	6	2	no	—
139	C₂×D₁₂	—	3	1	no	—
140	C₂×D₁₂	—	3	1	no	—
141	C₂×C₄×D₃	—	3	1	no	—
142	C₂×C₄×D₃	—	3	1	no	—
143	C₂×C₄×D₃	—	6	1	no	—
144	C₂×C₄×D₃	C₄×D₃	1	1	yes	characteristic
145	C₂×C₄×D₃	C₄×D₃	1	1	yes	characteristic
146	C₂×Dic₆	—	3	1	no	—
147	C₂×Dic₆	—	3	1	no	—
148	C₂×C₃×C₈	—	2	1	no	—
149	C₂×C₃×C₈	—	3	1	no	—
150	C₂×C₃×C₈	—	3	2	no	—
151	C₂×C₃×C₈	—	3	2	no	—
152	C₂×C₃×C₈	—	3	1	no	—
153	C₂×C₃×C₈	—	6	1	no	—
154	C₂×C₃×C₈	—	6	1	no	—
155	C₂×C₃×C₈	C₂²×D₃	1	1	yes	characteristic
156	C₂×C₃×C₈	C₂²×D₃	1	1	yes	characteristic
157	#208	—	6	2	no	—
158	#208	—	6	2	no	—
159	C₂×C₃⋊C₈	—	3	1	no	—
160	C₂×C₃⋊C₈	—	3	1	no	—
161	C₂×C₃⋊C₈	—	6	1	no	—
162	C₂×C₃⋊C₈	C₄×D₃	1	1	yes	characteristic
163	C₂×C₃⋊C₈	C₄×D₃	1	1	yes	characteristic
164	ΓL(1,𝔽₂₅)	—	6	2	no	—
165	ΓL(1,𝔽₂₅)	—	6	2	no	—
166	ΓL(1,𝔽₂₅)	—	6	2	no	—
167	ΓL(1,𝔽₂₅)	—	6	2	no	—
168	D₃×C₈	—	2	1	no	—
169	D₃×C₈	—	2	1	no	—
170	D₃×C₈	—	6	1	no	—
171	D₃×C₈	—	6	1	no	—
172	D₃×C₈	—	6	1	no	—
173	D₃×C₈	—	6	1	no	—
174	D₃×C₈	—	12	1	no	—
175	D₃×C₈	—	12	1	no	—
176	D₃×C₈	D₁₂	1	2	yes	—
177	D₃×C₈	#67	1	2	yes	—
178	C₃×C₁₆	—	2	1	no	—
179	C₃×C₁₆	—	2	1	no	—
180	C₃×C₁₆	—	4	1	no	—
181	C₃×C₁₆	—	6	1	no	—
182	C₃×C₁₆	—	6	1	no	—
183	C₃⋊C₁₆	—	2	1	no	—
184	C₃⋊C₁₆	—	2	1	no	—
185	C₃⋊C₁₆	—	6	1	no	—
186	C₃⋊C₁₆	—	6	1	no	—
187	C₃⋊C₁₆	—	12	1	no	—
188	C₂²×C₃²	C₂²×C₈	1	1	yes	characteristic
189	C₂×C₃⋊D₃	—	2	1	no	—
190	C₂×C₃⋊D₃	—	2	1	no	—
191	C₂×C₃⋊D₃	—	2	1	no	—
192	C₂×C₃×D₃	—	2	1	no	—
193	C₂×C₃×D₃	—	2	1	no	—
194	C₂×C₃×D₃	—	2	1	no	—
195	C₂×C₃×D₃	—	2	1	no	—
196	C₂×C₃×D₃	—	2	1	no	—
197	C₂×C₃×D₃	C₂²⋊C₈	1	2	yes	—
198	C₃²×C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
199	C₃²×C₄	C₂×M₁₆	1	1	yes	characteristic
200	C₃⋊Dic₃	—	2	1	no	—
201	C₃×Dic₃	—	2	1	no	—
202	C₃×Dic₃	C₂²⋊C₈	1	2	yes	—
203	C₂×#41	—	9	1	no	—
204	#131	—	18	2	no	—
205	#131	—	18	2	no	—
206	C₂×M₁₆	—	9	1	no	—
207	C₂×M₁₆	—	9	1	no	—
208	C₂×M₁₆	—	9	1	no	—
209	C₂²×C₈	—	3	1	no	—
210	C₂²×C₈	—	3	1	no	—
211	C₂²×C₈	—	9	1	no	—
212	M₃₂	—	6	2	no	—
213	C₂×C₁₆	—	3	1	no	—
214	C₂×C₁₆	—	3	1	no	—
215	C₂×C₁₆	—	9	1	no	—
216	C₂×C₁₆	—	18	2	no	—
217	C₂×C₁₆	D₃²	1	1	yes	characteristic
218	C₂³×C₃	—	3	1	no	—
219	C₂³×C₃	—	3	1	no	—
220	C₂²×D₃	—	3	1	no	—
221	C₂²×D₃	—	3	1	no	—
222	C₂²×D₃	—	6	1	no	—
223	C₂²×D₃	D₃×C₈	1	1	yes	characteristic
224	C₂²×D₃	D₃×C₈	1	1	yes	characteristic
225	C₂×C₃×C₄	—	2	1	no	—
226	C₂×C₃×C₄	—	3	1	no	—
227	C₂×C₃×C₄	—	3	2	no	—
228	C₂×C₃×C₄	—	3	2	no	—
229	C₂×C₃×C₄	—	3	1	no	—
230	C₂×C₃×C₄	—	6	1	no	—
231	C₂×C₃×C₄	—	6	1	no	—
232	C₂×C₃×C₄	C₂×C₄×D₃	1	1	yes	characteristic
233	C₂×C₃×C₄	C₂×C₄×D₃	1	1	yes	characteristic
234	#67	—	6	2	no	—
235	#67	—	6	2	no	—
236	#67	—	6	2	no	—
237	#67	—	6	2	no	—
238	C₂×Dic₃	—	3	1	no	—
239	C₂×Dic₃	—	3	1	no	—
240	C₂×Dic₃	—	6	1	no	—
241	C₂×Dic₃	D₃×C₈	1	1	yes	characteristic
242	C₂×Dic₃	D₃×C₈	1	1	yes	characteristic
243	D₁₂	—	6	2	no	—
244	D₁₂	—	6	2	no	—
245	C₄×D₃	—	2	1	no	—
246	C₄×D₃	—	2	1	no	—
247	C₄×D₃	—	6	1	no	—
248	C₄×D₃	—	6	1	no	—
249	C₄×D₃	—	6	1	no	—
250	C₄×D₃	—	6	1	no	—
251	C₄×D₃	—	12	1	no	—
252	C₄×D₃	—	12	1	no	—
253	C₄×D₃	ΓL(1,𝔽₂₅)	1	2	yes	—
254	C₄×D₃	(C₂×D₃)⋊C₄	1	2	yes	—
255	Dic₆	—	6	2	no	—
256	Dic₆	—	6	2	no	—
257	C₃×C₈	—	2	1	no	—
258	C₃×C₈	—	2	1	no	—
259	C₃×C₈	—	3	2	no	—
260	C₃×C₈	—	6	1	no	—
261	C₃×C₈	C₂×D₁₂	1	1	yes	characteristic
262	C₃×C₈	D₃×D₄	1	1	yes	characteristic
263	C₃×C₈	D₃×D₄	1	1	yes	characteristic
264	C₃×C₈	C₂×#67	1	1	yes	characteristic
265	C₃⋊C₈	—	2	1	no	—
266	C₃⋊C₈	—	6	1	no	—
267	C₃⋊C₈	—	6	1	no	—
268	C₃⋊C₈	—	12	1	no	—
269	C₃⋊C₈	(C₂×D₃)⋊C₄	1	2	yes	—
270	C₂×C₃²	C₂×C₂²⋊C₈	1	1	yes	characteristic
271	C₂×C₃²	#504	1	1	yes	characteristic
272	C₂×C₃²	#504	1	1	yes	characteristic
273	C₃⋊D₃	—	4	1	no	—
274	C₃×D₃	—	2	2	no	—
275	C₃×D₃	—	4	1	no	—
276	#41	—	18	2	no	—
277	#41	—	18	2	no	—
278	C₂×Q₈	—	9	1	no	—
279	C₂×D₄	—	9	1	no	—
280	C₂×D₄	—	9	1	no	—
281	C₂×D₄	—	9	1	no	—
282	C₂²×C₄	—	3	1	no	—
283	C₂²×C₄	—	3	1	no	—
284	C₂²×C₄	—	9	1	no	—
285	M₁₆	—	18	2	no	—
286	M₁₆	—	18	2	no	—
287	M₁₆	—	18	2	no	—
288	C₂×C₈	—	3	1	no	—
289	C₂×C₈	—	3	2	no	—
290	C₂×C₈	—	3	2	no	—
291	C₂×C₈	—	3	1	no	—
292	C₂×C₈	—	6	1	no	—
293	C₂×C₈	—	6	1	no	—
294	C₂×C₈	—	9	1	no	—
295	C₂×C₈	—	18	1	no	—
296	C₂×C₈	—	18	1	no	—
297	C₂×C₈	C₂×D₃²	1	1	yes	characteristic
298	C₁₆	—	2	1	no	—
299	C₁₆	—	6	1	no	—
300	C₁₆	—	6	1	no	—
301	C₁₆	—	18	1	no	—
302	C₂²×C₃	—	2	1	no	—
303	C₂²×C₃	—	3	2	no	—
304	C₂²×C₃	—	6	1	no	—
305	C₂²×C₃	—	6	1	no	—
306	C₂²×C₃	—	6	1	no	—
307	C₂²×C₃	—	6	1	no	—
308	C₂²×C₃	—	6	1	no	—
309	C₂²×C₃	C₂×D₃×C₈	1	1	yes	characteristic
310	C₂²×C₃	C₂×D₃×C₈	1	1	yes	characteristic
311	C₂×D₃	—	2	1	no	—
312	C₂×D₃	—	2	1	no	—
313	C₂×D₃	—	2	1	no	—
314	C₂×D₃	—	2	1	no	—
315	C₂×D₃	—	2	1	no	—
316	C₂×D₃	—	6	2	no	—
317	C₂×D₃	—	6	1	no	—
318	C₂×D₃	—	6	1	no	—
319	C₂×D₃	—	6	1	no	—
320	C₂×D₃	—	6	1	no	—
321	C₂×D₃	—	6	1	no	—
322	C₂×D₃	—	6	1	no	—
323	C₂×D₃	—	12	1	no	—
324	C₂×D₃	—	12	1	no	—
325	C₂×D₃	(C₂×D₃)⋊C₈	1	2	yes	—
326	C₃×C₄	—	2	1	no	—
327	C₃×C₄	—	2	1	no	—
328	C₃×C₄	—	3	2	no	—
329	C₃×C₄	—	6	1	no	—
330	C₃×C₄	D₃×C₂²⋊C₄	1	1	yes	characteristic
331	C₃×C₄	C₂×ΓL(1,𝔽₂₅)	1	1	yes	characteristic
332	C₃×C₄	D₃×M₁₆	1	1	yes	characteristic
333	C₃×C₄	C₂×(C₂×D₃)⋊C₄	1	1	yes	characteristic
334	Dic₃	—	2	1	no	—
335	Dic₃	—	6	1	no	—
336	Dic₃	—	6	1	no	—
337	Dic₃	—	12	1	no	—
338	Dic₃	(C₂×D₃)⋊C₈	1	2	yes	—
339	C₃²	#2113	1	1	yes	characteristic, complemented, Sylow
340	C₂³	—	3	1	no	—
341	C₂³	—	3	1	no	—
342	C₂³	—	9	1	no	—
343	Q₈	—	18	2	no	—
344	D₄	—	18	2	no	—
345	D₄	—	18	2	no	—
346	D₄	—	18	2	no	—
347	C₂×C₄	—	3	1	no	—
348	C₂×C₄	—	3	2	no	—
349	C₂×C₄	—	3	2	no	—
350	C₂×C₄	—	3	1	no	—
351	C₂×C₄	—	6	1	no	—
352	C₂×C₄	—	6	1	no	—
353	C₂×C₄	—	9	1	no	—
354	C₂×C₄	—	18	1	no	—
355	C₂×C₄	—	18	1	no	—
356	C₂×C₄	C₄×D₃²	1	1	yes	characteristic
357	C₈	—	3	2	no	—
358	C₈	—	6	1	no	—
359	C₈	—	18	1	no	—
360	C₈	D₃×D₁₂	1	1	yes	characteristic
361	C₈	D₃×#67	1	1	yes	characteristic
362	C₂×C₃	—	2	1	no	—
363	C₂×C₃	—	2	1	no	—
364	C₂×C₃	—	2	1	no	—
365	C₂×C₃	—	6	2	no	—
366	C₂×C₃	—	12	1	no	—
367	C₂×C₃	D₃×C₂²⋊C₈	1	1	yes	characteristic
368	C₂×C₃	#4901	1	1	yes	characteristic
369	C₂×C₃	#4907	1	1	yes	characteristic
370	C₂×C₃	#4907	1	1	yes	characteristic
371	C₂×C₃	#4907	1	1	yes	characteristic
372	C₂×C₃	C₂×(C₂×D₃)⋊C₈	1	1	yes	characteristic
373	D₃	—	2	2	no	—
374	D₃	—	4	1	no	—
375	D₃	—	12	2	no	—
376	D₃	—	12	1	no	—
377	D₃	—	12	1	no	—
378	C₂²	—	3	2	no	—
379	C₂²	—	6	1	no	—
380	C₂²	—	6	1	no	—
381	C₂²	—	6	1	no	—
382	C₂²	—	6	1	no	—
383	C₂²	—	6	1	no	—
384	C₂²	—	18	1	no	—
385	C₂²	—	18	1	no	—
386	C₂²	—	18	1	no	—
387	C₂²	D₃²×C₈	1	1	yes	characteristic
388	C₄	—	3	2	no	—
389	C₄	—	6	1	no	—
390	C₄	—	18	1	no	—
391	C₄	D₃×ΓL(1,𝔽₂₅)	1	1	yes	characteristic
392	C₄	D₃×(C₂×D₃)⋊C₄	1	1	yes	characteristic
393	C₃	—	2	1	no	—
394	C₃	#69107	1	1	yes	characteristic, complemented
395	C₃	#71432	1	1	yes	characteristic, complemented
396	C₂	—	6	2	no	—
397	C₂	—	12	1	no	—
398	C₂	—	36	1	no	—
399	C₂	#10590228	1	1	yes	characteristic
400	C₂	#10590229	1	1	yes	characteristic
401	C₂	D₃×(C₂×D₃)⋊C₈	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₈	C₂×D₃²
commutator, socle	C₂²×C₃²	C₂²×C₈
Fitting	C₂×C₃²×C₁₆	C₂²
prime radical	C₂×#3798	C₄
cosocle	C₂×C₃²×C₈	C₂³
hypercenter	C₂×C₁₆	D₃²
hypocenter	C₃²	#2113
LCS	G ▷ C₂²×C₃² ▷ C₃²
UCS	C₁ ◁ C₂×C₈ ◁ C₂×C₁₆

Complements

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

N	H ≅ G/N	type
2. C₂×C₃×#798	C₂	semidirect
3. C₂×D₃×C₃⋊C₁₆	C₂	semidirect
4. #10589373	C₂	semidirect
5. C₃×(C₂×D₃)⋊C₁₆	C₂	semidirect
6. #10589108	C₂	semidirect
7. (C₂×D₃)⋊(C₃⋊C₁₆)	C₂	semidirect
29. C₂×#798	D₃	semidirect
39. (C₂×D₃)⋊C₁₆	D₃	semidirect
339. C₃²	#2113	semidirect
394. C₃	#69107	semidirect
395. C₃	#71432	semidirect

Maximal subgroups

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

subgroup	index
C₂×#63803	2
C₂×C₃×#798	2
C₂×D₃×C₃⋊C₁₆	2
#10589373	2
C₃×(C₂×D₃)⋊C₁₆	2
#10589108	2
(C₂×D₃)⋊(C₃⋊C₁₆)	2
#71432	3
#69107	3