Subgroups — #11861076

Order 1152.

1368 conjugacy classes of subgroups.

The subgroup lattice has 414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10596239	C₂	1	1	yes	maximal, characteristic
2	C₃⋊D₃×#131	C₂	1	2	yes	maximal, complemented
3	C₃²×#443	C₂	1	1	yes	maximal, characteristic, complemented
4	#10592896	C₂	1	1	yes	maximal, characteristic, complemented
5	#10592843	C₂	1	2	yes	maximal, complemented
6	#10592593	C₂	1	1	yes	maximal, characteristic, complemented
7	#10592592	C₂	1	1	yes	maximal, characteristic, complemented
8	#10592522	C₂	1	2	yes	maximal, complemented
9	#10592520	C₂	1	2	yes	maximal, complemented
10	#10592399	C₂	1	1	yes	maximal, characteristic, complemented
11	#10592388	C₂	1	1	yes	maximal, characteristic, complemented
12	#79888	—	3	4	no	maximal
13	#41×C₃⋊D₃	C₂²	1	2	yes	—
14	C₃²×#135	C₂²	1	1	yes	characteristic
15	C₃²×#131	C₂²	1	2	yes	complemented
16	#64159	C₂²	1	2	yes	—
17	#64157	C₂²	1	2	yes	complemented
18	#64127	C₄	1	2	yes	complemented
19	#64124	C₄	1	2	yes	complemented
20	#64123	C₄	1	2	yes	complemented
21	#64120	C₄	1	2	yes	complemented
22	#64116	—	2	2	no	—
23	#64116	C₂²	1	2	yes	complemented
24	M₁₆×C₃⋊D₃	—	2	2	no	—
25	M₁₆×C₃⋊D₃	C₂²	1	2	yes	—
26	#64113	C₂²	1	1	yes	characteristic
27	#64110	—	2	2	no	—
28	#64110	C₂²	1	2	yes	complemented
29	C₂×#3743	C₂²	1	1	yes	characteristic
30	C₂×C₈×C₃⋊D₃	—	2	2	no	—
31	C₂×C₈×C₃⋊D₃	C₂²	1	1	yes	characteristic
32	#64081	C₂²	1	1	yes	characteristic
33	C₃²×#108	C₂²	1	1	yes	characteristic, complemented
34	C₃²×#104	C₂²	1	2	yes	complemented
35	C₃²×C₄×C₈	C₂²	1	1	yes	characteristic, complemented
36	#63664	C₂²	1	2	yes	complemented
37	#63652	C₂²	1	2	yes	complemented
38	#63649	C₂²	1	2	yes	complemented
39	#63646	C₂²	1	1	yes	characteristic, complemented
40	#63642	C₂²	1	1	yes	characteristic, complemented
41	C₈×C₃⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
42	#63632	C₂²	1	2	yes	complemented
43	#63630	C₂²	1	1	yes	characteristic, complemented
44	#5768	—	3	4	no	—
45	D₃×#131	—	3	8	no	—
46	C₃×#443	D₃	1	4	yes	complemented
47	#5197	—	3	4	no	—
48	#5144	—	3	8	no	—
49	#4894	—	3	4	no	—
50	#4893	—	3	4	no	—
51	#4823	—	3	8	no	—
52	#4821	—	3	8	no	—
53	#4700	—	3	4	no	—
54	#4689	—	3	4	no	—
55	C₃²×#41	C₂³	1	2	yes	—
56	#3832	C₂×C₄	1	2	yes	—
57	Q₈×C₃⋊D₃	C₂×C₄	1	2	yes	—
58	#3830	—	2	2	no	—
59	#3830	C₂×C₄	1	2	yes	—
60	D₄×C₃⋊D₃	—	2	2	no	—
61	D₄×C₃⋊D₃	C₂×C₄	1	2	yes	—
62	#3828	—	2	2	no	—
63	#3828	C₂³	1	2	yes	—
64	C₂×C₄×C₃⋊D₃	—	2	2	no	—
65	C₂×C₄×C₃⋊D₃	C₂³	1	1	yes	characteristic
66	C₃²×Q₁₆	C₂×C₄	1	1	yes	characteristic
67	C₃²×SD₁₆	C₂×C₄	1	2	yes	—
68	C₃²×D₈	C₂×C₄	1	1	yes	characteristic
69	C₃²×M₁₆	—	2	2	no	—
70	C₃²×M₁₆	C₂³	1	2	yes	—
71	C₂×C₃²×C₈	—	2	2	no	—
72	C₂×C₃²×C₈	C₂³	1	1	yes	characteristic
73	C₂×C₃²×C₈	C₂³	1	1	yes	characteristic
74	C₃²×C₄²	C₂³	1	1	yes	characteristic
75	#3756	C₂×C₄	1	2	yes	—
76	#3755	C₂×C₄	1	2	yes	—
77	#3754	C₂×C₄	1	2	yes	—
78	#3753	C₂×C₄	1	2	yes	—
79	#3752	—	2	1	no	—
80	#3750	—	2	1	no	—
81	C₄×C₃⋊Dic₃	C₂³	1	1	yes	characteristic
82	#3748	—	2	2	no	—
83	#3748	C₂³	1	2	yes	—
84	C₂×C₃⋊(C₃⋊C₈)	—	2	2	no	—
85	C₂×C₃⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
86	C₂×C₃⋊(C₃⋊C₈)	C₂³	1	1	yes	characteristic
87	#3746	C₂×C₄	1	1	yes	characteristic
88	#3745	C₂×C₄	1	1	yes	characteristic
89	#3744	C₂×C₄	1	2	yes	—
90	#3743	—	2	2	no	—
91	#3743	—	2	2	no	—
92	#3743	—	2	2	no	—
93	#3743	C₂×C₄	1	2	yes	—
94	#3743	C₂×C₄	1	2	yes	—
95	C₈×C₃⋊D₃	—	2	2	no	—
96	C₈×C₃⋊D₃	—	2	2	no	—
97	C₈×C₃⋊D₃	—	2	2	no	—
98	C₈×C₃⋊D₃	D₄	1	2	yes	—
99	C₈×C₃⋊D₃	D₄	1	2	yes	—
100	#2955	—	9	1	no	Sylow
101	D₃×#41	—	3	8	no	—
102	C₃×#135	C₂×D₃	1	4	yes	—
103	C₃×#131	C₂×D₃	1	8	yes	complemented
104	#950	—	3	8	no	—
105	#948	—	3	8	no	—
106	#918	—	3	8	no	—
107	#915	—	3	8	no	—
108	#914	—	3	8	no	—
109	#911	—	3	8	no	—
110	#907	—	3	8	no	—
111	#907	—	6	8	no	—
112	D₃×M₁₆	—	3	8	no	—
113	D₃×M₁₆	—	6	8	no	—
114	#904	—	3	4	no	—
115	#901	—	3	8	no	—
116	#901	—	6	8	no	—
117	C₂×ΓL(1,𝔽₂₅)	—	3	4	no	—
118	C₂×D₃×C₈	—	3	4	no	—
119	C₂×D₃×C₈	—	6	8	no	—
120	#872	—	3	4	no	—
121	C₃×#108	C₂×D₃	1	4	yes	complemented
122	C₃×#104	C₂×D₃	1	8	yes	complemented
123	C₃×C₄×C₈	C₂×D₃	1	4	yes	complemented
124	#837	—	3	8	no	—
125	#825	—	3	8	no	—
126	#822	—	3	8	no	—
127	#819	—	3	4	no	—
128	#815	—	3	4	no	—
129	C₈×Dic₃	—	3	4	no	—
130	#805	—	3	8	no	—
131	#803	—	3	4	no	—
132	C₂²×C₃⋊D₃	—	2	2	no	—
133	C₂²×C₃⋊D₃	#41	1	1	yes	characteristic
134	C₃²×Q₈	C₂²×C₄	1	2	yes	—
135	C₃²×D₄	—	2	2	no	—
136	C₃²×D₄	C₂²×C₄	1	2	yes	—
137	C₂×C₃²×C₄	—	2	2	no	—
138	C₂×C₃²×C₄	—	2	1	no	—
139	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
140	#638	—	2	2	no	—
141	#638	—	2	2	no	—
142	#638	—	2	2	no	—
143	C₂×C₃⋊Dic₃	—	2	2	no	—
144	C₂×C₃⋊Dic₃	—	2	1	no	—
145	C₂×C₃⋊Dic₃	#41	1	1	yes	characteristic
146	C₄⋊(C₃⋊D₃)	—	2	2	no	—
147	C₄⋊(C₃⋊D₃)	C₂²×C₄	1	2	yes	—
148	C₄×C₃⋊D₃	—	2	2	no	—
149	C₄×C₃⋊D₃	—	2	2	no	—
150	C₄×C₃⋊D₃	—	2	2	no	—
151	C₄×C₃⋊D₃	C₂²×C₄	1	2	yes	—
152	C₄×C₃⋊D₃	C₂×D₄	1	2	yes	—
153	#634	—	2	2	no	—
154	#634	C₂²×C₄	1	2	yes	—
155	C₃²×C₈	—	2	2	no	—
156	C₃²×C₈	C₂²×C₄	1	1	yes	characteristic
157	C₃²×C₈	C₂²×C₄	1	1	yes	characteristic
158	C₃²×C₈	C₂×D₄	1	1	yes	characteristic
159	C₃²×C₈	C₂×D₄	1	1	yes	characteristic
160	C₃⋊(C₃⋊C₈)	—	2	2	no	—
161	C₃⋊(C₃⋊C₈)	C₂²×C₄	1	2	yes	—
162	C₃⋊(C₃⋊C₈)	C₂×D₄	1	2	yes	—
163	#575	—	9	1	no	—
164	C₂×#131	—	9	2	no	—
165	#444	—	9	1	no	—
166	#444	—	9	1	no	—
167	#444	—	9	2	no	—
168	#443	—	9	2	no	—
169	#443	—	9	1	no	—
170	#443	C₃⋊D₃	1	1	yes	characteristic, complemented
171	#430	—	9	1	no	—
172	#421	—	9	2	no	—
173	#405	—	9	1	no	—
174	C₃×#41	C₂²×D₃	1	8	yes	—
175	#239	—	3	8	no	—
176	D₃×Q₈	—	3	8	no	—
177	#237	—	3	8	no	—
178	#237	—	6	8	no	—
179	D₃×D₄	—	3	8	no	—
180	D₃×D₄	—	6	8	no	—
181	#235	—	3	8	no	—
182	#235	—	6	8	no	—
183	C₂×C₄×D₃	—	3	4	no	—
184	C₂×C₄×D₃	—	6	8	no	—
185	C₃×Q₁₆	C₄×D₃	1	4	yes	—
186	C₃×SD₁₆	C₄×D₃	1	8	yes	—
187	C₃×D₈	C₄×D₃	1	4	yes	—
188	C₃×M₁₆	—	2	8	no	—
189	C₃×M₁₆	C₂²×D₃	1	8	yes	—
190	C₂×C₃×C₈	—	2	8	no	—
191	C₂×C₃×C₈	C₂²×D₃	1	4	yes	—
192	C₂×C₃×C₈	C₂²×D₃	1	4	yes	—
193	C₃×C₄²	C₂²×D₃	1	4	yes	—
194	#216	—	3	8	no	—
195	#215	—	3	8	no	—
196	#214	—	3	8	no	—
197	#213	—	3	8	no	—
198	(C₂×D₃)⋊C₄	—	6	4	no	—
199	Dic₃⋊C₄	—	6	4	no	—
200	C₄×Dic₃	—	3	4	no	—
201	#208	—	3	8	no	—
202	#208	—	6	8	no	—
203	C₂×C₃⋊C₈	—	3	4	no	—
204	C₂×C₃⋊C₈	—	3	4	no	—
205	C₂×C₃⋊C₈	—	6	8	no	—
206	Dic₁₂	—	3	4	no	—
207	D₂₄	—	3	4	no	—
208	#204	—	3	8	no	—
209	ΓL(1,𝔽₂₅)	—	3	8	no	—
210	ΓL(1,𝔽₂₅)	—	3	8	no	—
211	ΓL(1,𝔽₂₅)	—	6	8	no	—
212	ΓL(1,𝔽₂₅)	—	6	8	no	—
213	ΓL(1,𝔽₂₅)	—	6	8	no	—
214	D₃×C₈	—	3	8	no	—
215	D₃×C₈	—	3	8	no	—
216	D₃×C₈	—	6	8	no	—
217	D₃×C₈	—	6	8	no	—
218	D₃×C₈	—	6	8	no	—
219	C₂²×C₃²	—	2	2	no	—
220	C₂²×C₃²	C₂×#41	1	1	yes	characteristic
221	C₂×C₃⋊D₃	—	2	2	no	—
222	C₂×C₃⋊D₃	—	4	1	no	—
223	C₂×C₃⋊D₃	—	4	4	no	—
224	C₂×C₃⋊D₃	C₄×D₄	1	2	yes	—
225	C₃²×C₄	—	2	2	no	—
226	C₃²×C₄	—	4	1	no	—
227	C₃²×C₄	C₂³×C₄	1	1	yes	characteristic
228	C₃²×C₄	C₂²×D₄	1	1	yes	characteristic
229	C₃⋊Dic₃	—	2	2	no	—
230	C₃⋊Dic₃	—	4	1	no	—
231	C₃⋊Dic₃	C₄×D₄	1	2	yes	—
232	C₂×#41	—	9	2	no	—
233	#137	—	9	2	no	—
234	#137	—	9	2	no	—
235	AGL(1,ℤ/8)	—	9	2	no	—
236	AGL(1,ℤ/8)	—	9	2	no	—
237	#135	—	9	2	no	—
238	#135	—	9	1	no	—
239	#135	C₂×C₃⋊D₃	1	1	yes	characteristic
240	#131	—	9	2	no	—
241	#131	—	9	2	no	—
242	#131	—	9	2	no	—
243	#131	—	18	2	no	—
244	#131	—	18	2	no	—
245	#131	C₂×C₃⋊D₃	1	2	yes	complemented
246	C₂×M₁₆	—	9	1	no	—
247	C₂×M₁₆	—	9	2	no	—
248	C₂×M₁₆	—	18	2	no	—
249	C₂²×C₈	—	9	1	no	—
250	C₂²×C₈	—	18	2	no	—
251	#117	—	9	1	no	—
252	#108	—	9	2	no	—
253	#108	—	9	1	no	—
254	#108	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
255	#104	—	9	2	no	—
256	#104	—	9	2	no	—
257	#104	—	9	2	no	—
258	#104	C₂×C₃⋊D₃	1	2	yes	complemented
259	#97	—	9	1	no	—
260	#97	—	9	1	no	—
261	C₄×C₈	—	9	1	no	—
262	C₄×C₈	C₂×C₃⋊D₃	1	1	yes	characteristic, complemented
263	C₂²×D₃	—	3	4	no	—
264	C₂²×D₃	—	6	8	no	—
265	C₃×Q₈	C₂×C₄×D₃	1	8	yes	—
266	C₃×D₄	—	2	8	no	—
267	C₃×D₄	C₂×C₄×D₃	1	8	yes	—
268	C₂×C₃×C₄	—	2	8	no	—
269	C₂×C₃×C₄	—	2	4	no	—
270	C₂×C₃×C₄	C₂³×D₃	1	4	yes	—
271	#67	—	6	8	no	—
272	#67	—	6	8	no	—
273	#67	—	6	8	no	—
274	C₂×Dic₃	—	3	4	no	—
275	C₂×Dic₃	—	6	8	no	—
276	C₂×Dic₃	—	6	4	no	—
277	D₁₂	—	3	8	no	—
278	D₁₂	—	6	8	no	—
279	C₄×D₃	—	3	8	no	—
280	C₄×D₃	—	3	8	no	—
281	C₄×D₃	—	6	8	no	—
282	C₄×D₃	—	6	8	no	—
283	C₄×D₃	—	6	8	no	—
284	Dic₆	—	3	8	no	—
285	Dic₆	—	6	8	no	—
286	C₃×C₈	—	2	8	no	—
287	C₃×C₈	C₂×C₄×D₃	1	4	yes	—
288	C₃×C₈	C₂×C₄×D₃	1	4	yes	—
289	C₃×C₈	D₃×D₄	1	4	yes	—
290	C₃×C₈	D₃×D₄	1	4	yes	—
291	C₃⋊C₈	—	3	8	no	—
292	C₃⋊C₈	—	3	8	no	—
293	C₃⋊C₈	—	6	8	no	—
294	C₂×C₃²	—	2	1	no	—
295	C₂×C₃²	—	4	2	no	—
296	C₂×C₃²	C₂×C₄×D₄	1	1	yes	characteristic
297	C₃⋊D₃	—	2	2	no	—
298	C₃⋊D₃	—	4	2	no	—
299	#41	—	9	2	no	—
300	#41	—	9	2	no	—
301	#41	—	9	2	no	—
302	#41	—	18	2	no	—
303	#41	—	18	2	no	—
304	#41	C₂²×C₃⋊D₃	1	2	yes	—
305	C₂×Q₈	—	9	2	no	—
306	C₂×D₄	—	9	2	no	—
307	C₂×D₄	—	18	2	no	—
308	C₂²×C₄	—	9	1	no	—
309	C₂²×C₄	—	18	2	no	—
310	Q₁₆	—	9	2	no	—
311	Q₁₆	—	9	1	no	—
312	Q₁₆	C₄×C₃⋊D₃	1	1	yes	characteristic
313	SD₁₆	—	9	2	no	—
314	SD₁₆	—	9	2	no	—
315	SD₁₆	—	9	2	no	—
316	SD₁₆	C₄×C₃⋊D₃	1	2	yes	—
317	D₈	—	9	2	no	—
318	D₈	—	9	1	no	—
319	D₈	C₄×C₃⋊D₃	1	1	yes	characteristic
320	M₁₆	—	2	2	no	—
321	M₁₆	—	9	2	no	—
322	M₁₆	—	9	2	no	—
323	M₁₆	—	9	2	no	—
324	M₁₆	—	18	2	no	—
325	M₁₆	—	18	2	no	—
326	M₁₆	—	18	2	no	—
327	M₁₆	—	18	2	no	—
328	M₁₆	C₂²×C₃⋊D₃	1	2	yes	—
329	C₂×C₈	—	2	2	no	—
330	C₂×C₈	—	9	1	no	—
331	C₂×C₈	—	9	1	no	—
332	C₂×C₈	—	9	2	no	—
333	C₂×C₈	—	9	2	no	—
334	C₂×C₈	—	18	2	no	—
335	C₂×C₈	—	18	2	no	—
336	C₂×C₈	—	18	2	no	—
337	C₂×C₈	—	18	2	no	—
338	C₂×C₈	C₂²×C₃⋊D₃	1	1	yes	characteristic
339	C₂×C₈	C₂²×C₃⋊D₃	1	1	yes	characteristic
340	C₄⋊C₄	—	18	1	no	—
341	C₂²⋊C₄	—	18	1	no	—
342	C₄²	—	9	1	no	—
343	C₄²	C₂²×C₃⋊D₃	1	1	yes	characteristic
344	C₂²×C₃	—	2	8	no	—
345	C₂²×C₃	D₃×#41	1	4	yes	—
346	C₂×D₃	—	3	8	no	—
347	C₂×D₃	—	6	8	no	—
348	C₂×D₃	—	12	4	no	—
349	C₂×D₃	—	12	16	no	—
350	C₃×C₄	—	2	8	no	—
351	C₃×C₄	—	4	4	no	—
352	C₃×C₄	C₂²×C₄×D₃	1	4	yes	—
353	C₃×C₄	C₂×D₃×D₄	1	4	yes	—
354	Dic₃	—	3	8	no	—
355	Dic₃	—	6	8	no	—
356	Dic₃	—	12	4	no	—
357	C₃²	#2955	1	1	yes	characteristic, complemented, Sylow
358	C₂³	—	9	1	no	—
359	C₂³	—	18	2	no	—
360	Q₈	—	9	2	no	—
361	Q₈	—	18	2	no	—
362	Q₈	C₂×C₄×C₃⋊D₃	1	2	yes	—
363	D₄	—	2	2	no	—
364	D₄	—	9	2	no	—
365	D₄	—	18	2	no	—
366	D₄	—	18	2	no	—
367	D₄	—	18	2	no	—
368	D₄	—	18	2	no	—
369	D₄	C₂×C₄×C₃⋊D₃	1	2	yes	—
370	C₂×C₄	—	2	2	no	—
371	C₂×C₄	—	2	1	no	—
372	C₂×C₄	—	9	1	no	—
373	C₂×C₄	—	9	2	no	—
374	C₂×C₄	—	9	2	no	—
375	C₂×C₄	—	18	2	no	—
376	C₂×C₄	—	18	2	no	—
377	C₂×C₄	—	18	2	no	—
378	C₂×C₄	—	18	2	no	—
379	C₂×C₄	—	18	1	no	—
380	C₂×C₄	C₂³×C₃⋊D₃	1	1	yes	characteristic
381	C₈	—	2	2	no	—
382	C₈	—	9	2	no	—
383	C₈	—	9	2	no	—
384	C₈	—	18	2	no	—
385	C₈	C₂×C₄×C₃⋊D₃	1	1	yes	characteristic
386	C₈	C₂×C₄×C₃⋊D₃	1	1	yes	characteristic
387	C₈	D₄×C₃⋊D₃	1	1	yes	characteristic
388	C₈	D₄×C₃⋊D₃	1	1	yes	characteristic
389	C₂×C₃	—	2	4	no	—
390	C₂×C₃	—	4	8	no	—
391	C₂×C₃	C₄×D₃×D₄	1	4	yes	—
392	D₃	—	6	8	no	—
393	D₃	—	12	8	no	—
394	C₂²	—	2	2	no	—
395	C₂²	—	9	2	no	—
396	C₂²	—	18	2	no	—
397	C₂²	—	36	1	no	—
398	C₂²	—	36	4	no	—
399	C₂²	#41×C₃⋊D₃	1	1	yes	characteristic
400	C₄	—	2	2	no	—
401	C₄	—	4	1	no	—
402	C₄	—	9	2	no	—
403	C₄	—	18	2	no	—
404	C₄	—	36	1	no	—
405	C₄	C₂²×C₄×C₃⋊D₃	1	1	yes	characteristic
406	C₄	C₂×D₄×C₃⋊D₃	1	1	yes	characteristic
407	C₃	#79888	1	4	yes	complemented
408	C₂	—	2	1	no	—
409	C₂	—	4	2	no	—
410	C₂	—	18	2	no	—
411	C₂	—	36	2	no	—
412	C₂	C₄×D₄×C₃⋊D₃	1	1	yes	characteristic

	subgroup	G/H
center	C₈	D₄×C₃⋊D₃
commutator	C₃²×C₄	C₂³×C₄
Frattini	C₂×C₄	C₂³×C₃⋊D₃
Fitting	C₃²×#443	C₂
socle	C₂×C₃²	C₂×C₄×D₄
prime radical	#10596239	C₂
cosocle	C₂×C₃²×C₄	C₂⁴
hypercenter	#443	C₃⋊D₃
hypocenter	C₃²	#2955
LCS	G ▷ C₃²×C₄ ▷ C₂×C₃² ▷ C₃²
UCS	C₁ ◁ C₈ ◁ C₂×C₈ ◁ #443

Complements

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

N	H ≅ G/N	type
2. C₃⋊D₃×#131	C₂	semidirect
3. C₃²×#443	C₂	semidirect
4. #10592896	C₂	semidirect
5. #10592843	C₂	semidirect
6. #10592593	C₂	semidirect
7. #10592592	C₂	semidirect
8. #10592522	C₂	semidirect
9. #10592520	C₂	semidirect
10. #10592399	C₂	semidirect
11. #10592388	C₂	semidirect
15. C₃²×#131	C₂²	semidirect
17. #64157	C₂²	semidirect
18. #64127	C₄	semidirect
19. #64124	C₄	semidirect
20. #64123	C₄	semidirect
21. #64120	C₄	semidirect
23. #64116	C₂²	semidirect
28. #64110	C₂²	semidirect
33. C₃²×#108	C₂²	semidirect
34. C₃²×#104	C₂²	semidirect
35. C₃²×C₄×C₈	C₂²	semidirect
36. #63664	C₂²	semidirect
37. #63652	C₂²	semidirect
38. #63649	C₂²	semidirect
39. #63646	C₂²	semidirect
40. #63642	C₂²	semidirect
41. C₈×C₃⋊Dic₃	C₂²	semidirect
42. #63632	C₂²	semidirect
43. #63630	C₂²	semidirect
46. C₃×#443	D₃	semidirect
103. C₃×#131	C₂×D₃	semidirect
121. C₃×#108	C₂×D₃	semidirect
122. C₃×#104	C₂×D₃	semidirect
123. C₃×C₄×C₈	C₂×D₃	semidirect
170. #443	C₃⋊D₃	semidirect
245. #131	C₂×C₃⋊D₃	semidirect
254. #108	C₂×C₃⋊D₃	semidirect
258. #104	C₂×C₃⋊D₃	semidirect
262. C₄×C₈	C₂×C₃⋊D₃	semidirect
357. C₃²	#2955	semidirect
407. C₃	#79888	semidirect

Maximal subgroups

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

subgroup	index
#10596239	2
C₃⋊D₃×#131	2
C₃²×#443	2
#10592896	2
#10592843	2
#10592593	2
#10592592	2
#10592522	2
#10592520	2
#10592399	2
#10592388	2
#79888	3