Subgroups — #10948439

Order 768.

648 conjugacy classes of subgroups.

The subgroup lattice has 422 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#82012	C₂	1	2	yes	maximal, complemented
2	D₃×#443	C₂	1	1	yes	maximal, characteristic
3	C₃×#2171	C₂	1	1	yes	maximal, characteristic, complemented
4	#71452	C₂	1	2	yes	maximal, complemented
5	#70924	C₂	1	1	yes	maximal, characteristic, complemented
6	D₃×#364	C₂	1	1	yes	maximal, characteristic, complemented
7	#69301	C₂	1	1	yes	maximal, characteristic, complemented
8	#69125	C₂	1	2	yes	maximal, complemented
9	#69122	C₂	1	2	yes	maximal, complemented
10	#69076	C₂	1	1	yes	maximal, characteristic, complemented
11	#69071	C₂	1	1	yes	maximal, characteristic, complemented
12	#33443	—	3	1	no	maximal, Sylow
13	D₃×#135	C₄	1	1	yes	characteristic
14	D₃×#131	C₂²	1	2	yes	—
15	C₃×#504	C₂²	1	2	yes	complemented
16	C₃×#443	C₂²	1	1	yes	characteristic
17	#5196	C₄	1	1	yes	characteristic
18	#5144	C₂²	1	2	yes	—
19	#5140	C₂²	1	2	yes	complemented
20	#4907	—	2	2	no	—
21	#4907	C₂²	1	2	yes	complemented
22	D₃×M₃₂	—	2	2	no	—
23	D₃×M₃₂	C₂²	1	2	yes	—
24	#4901	—	2	2	no	—
25	#4901	C₂²	1	2	yes	complemented
26	C₂×#798	—	2	2	no	—
27	C₂×#798	C₂²	1	1	yes	characteristic
28	C₂×#798	C₂²	1	1	yes	characteristic
29	#4895	C₄	1	1	yes	characteristic
30	D₃×#108	C₄	1	1	yes	characteristic
31	#4824	C₄	1	2	yes	—
32	D₃×#104	C₄	1	2	yes	—
33	#4700	C₂²	1	1	yes	characteristic
34	C₄×D₃×C₈	C₂²	1	1	yes	characteristic
35	C₃×#364	C₂²	1	1	yes	characteristic, complemented
36	C₃×#350	C₂²	1	2	yes	complemented
37	C₃×#346	C₂²	1	1	yes	characteristic, complemented
38	#4561	C₂²	1	2	yes	complemented
39	#4515	C₂²	1	2	yes	complemented
40	#4511	C₂²	1	2	yes	complemented
41	#4508	C₂²	1	2	yes	complemented
42	Dic₃×C₁₆	C₂²	1	1	yes	characteristic, complemented
43	Dic₃×C₁₆	C₂²	1	1	yes	characteristic, complemented
44	#4463	C₂²	1	1	yes	characteristic, complemented
45	#4461	C₂²	1	1	yes	characteristic, complemented
46	#3407	—	3	2	no	—
47	C₂×#443	—	3	1	no	—
48	#2171	—	3	1	no	—
49	#2171	—	3	1	no	—
50	#2171	—	3	1	no	—
51	#2171	D₃	1	1	yes	characteristic, complemented
52	#2170	—	3	2	no	—
53	#2170	—	3	2	no	—
54	C₂×#364	—	3	1	no	—
55	#2117	—	3	2	no	—
56	C₄×M₃₂	—	3	1	no	—
57	D₃×#41	C₂×C₄	1	2	yes	—
58	C₃×#135	C₂×C₄	1	1	yes	characteristic
59	C₃×#131	C₂³	1	2	yes	—
60	#950	C₂×C₄	1	2	yes	—
61	#948	C₂×C₄	1	2	yes	—
62	#919	C₈	1	1	yes	characteristic
63	D₃×Q₁₆	C₈	1	1	yes	characteristic
64	#916	C₈	1	2	yes	—
65	D₃×SD₁₆	C₈	1	2	yes	—
66	#912	C₈	1	1	yes	characteristic
67	D₃×D₈	C₈	1	1	yes	characteristic
68	#907	—	2	2	no	—
69	#907	C₂×C₄	1	2	yes	—
70	D₃×M₁₆	—	2	2	no	—
71	D₃×M₁₆	C₂×C₄	1	2	yes	—
72	#904	C₂×C₄	1	1	yes	characteristic
73	#901	—	2	2	no	—
74	#901	C₂³	1	2	yes	—
75	C₂×D₃×C₈	—	2	2	no	—
76	C₂×D₃×C₈	C₂×C₄	1	1	yes	characteristic
77	C₂×D₃×C₈	C₂³	1	1	yes	characteristic
78	C₄²×D₃	C₂×C₄	1	1	yes	characteristic
79	C₃×M₃₂	—	2	2	no	—
80	C₃×M₃₂	C₂³	1	2	yes	—
81	C₂×C₃×C₁₆	—	2	2	no	—
82	C₂×C₃×C₁₆	C₂³	1	1	yes	characteristic
83	C₂×C₃×C₁₆	C₂³	1	1	yes	characteristic
84	C₃×#108	C₂×C₄	1	1	yes	characteristic
85	C₃×#104	C₂×C₄	1	2	yes	—
86	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
87	#837	C₂×C₄	1	2	yes	—
88	#825	C₂×C₄	1	2	yes	—
89	#822	C₂×C₄	1	2	yes	—
90	#819	C₂×C₄	1	1	yes	characteristic
91	C₈×Dic₃	C₂×C₄	1	1	yes	characteristic
92	C₈×Dic₃	C₂³	1	1	yes	characteristic
93	#812	—	2	2	no	—
94	#812	C₂³	1	2	yes	—
95	C₂×C₃⋊C₁₆	—	2	2	no	—
96	C₂×C₃⋊C₁₆	C₂³	1	1	yes	characteristic
97	C₂×C₃⋊C₁₆	C₂³	1	1	yes	characteristic
98	#805	C₂×C₄	1	2	yes	—
99	C₄×C₃⋊C₈	C₂×C₄	1	1	yes	characteristic
100	#798	—	2	2	no	—
101	#798	—	2	1	no	—
102	#798	—	2	1	no	—
103	#798	—	2	2	no	—
104	#798	—	2	2	no	—
105	#798	D₄	1	2	yes	—
106	#798	D₄	1	2	yes	—
107	D₃×C₁₆	—	2	2	no	—
108	D₃×C₁₆	—	2	2	no	—
109	D₃×C₁₆	—	2	2	no	—
110	C₂×#135	—	3	1	no	—
111	C₂×#131	—	3	2	no	—
112	#504	—	3	2	no	—
113	#504	—	3	2	no	—
114	#504	—	3	2	no	—
115	#504	—	6	2	no	—
116	#504	—	6	2	no	—
117	#504	C₂×D₃	1	2	yes	complemented
118	C₂×M₃₂	—	3	1	no	—
119	C₂×M₃₂	—	3	1	no	—
120	C₂×M₃₂	—	3	2	no	—
121	C₂×M₃₂	—	6	2	no	—
122	C₂×M₃₂	—	6	2	no	—
123	#443	—	3	1	no	—
124	#443	—	3	2	no	—
125	#443	—	3	1	no	—
126	#443	—	3	2	no	—
127	#443	—	3	1	no	—
128	#443	C₂×D₃	1	1	yes	characteristic
129	C₂×#108	—	3	1	no	—
130	C₂×#104	—	3	2	no	—
131	C₂×C₄×C₈	—	3	1	no	—
132	#364	—	3	2	no	—
133	#364	—	3	1	no	—
134	#364	C₂×D₃	1	1	yes	characteristic, complemented
135	#350	—	3	2	no	—
136	#350	—	3	2	no	—
137	#350	—	3	2	no	—
138	#350	C₂×D₃	1	2	yes	complemented
139	#346	—	3	1	no	—
140	#346	C₂×D₃	1	1	yes	characteristic, complemented
141	C₄×C₁₆	—	3	1	no	—
142	C₄×C₁₆	—	3	1	no	—
143	C₃×#41	C₂²×C₄	1	2	yes	—
144	#239	C₂×C₈	1	2	yes	—
145	D₃×Q₈	C₂×C₈	1	2	yes	—
146	#237	—	2	2	no	—
147	#237	C₂×C₈	1	2	yes	—
148	D₃×D₄	—	2	2	no	—
149	D₃×D₄	C₂×C₈	1	2	yes	—
150	#235	—	2	2	no	—
151	#235	C₂²×C₄	1	2	yes	—
152	C₂×C₄×D₃	—	2	2	no	—
153	C₂×C₄×D₃	—	2	1	no	—
154	C₂×C₄×D₃	C₂²×C₄	1	1	yes	characteristic
155	C₃×Q₁₆	C₂×C₈	1	1	yes	characteristic
156	C₃×SD₁₆	C₂×C₈	1	2	yes	—
157	C₃×D₈	C₂×C₈	1	1	yes	characteristic
158	C₃×M₁₆	—	2	2	no	—
159	C₃×M₁₆	C₂²×C₄	1	2	yes	—
160	C₂×C₃×C₈	—	2	2	no	—
161	C₂×C₃×C₈	C₂²×C₄	1	1	yes	characteristic
162	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
163	C₃×C₄²	C₂²×C₄	1	1	yes	characteristic
164	#216	C₂×C₈	1	2	yes	—
165	#215	C₂×C₈	1	2	yes	—
166	#214	C₂×C₈	1	2	yes	—
167	#213	C₂×C₈	1	2	yes	—
168	C₄×Dic₃	—	2	1	no	—
169	C₄×Dic₃	C₂²×C₄	1	1	yes	characteristic
170	#208	—	2	2	no	—
171	#208	C₂²×C₄	1	2	yes	—
172	C₂×C₃⋊C₈	—	2	2	no	—
173	C₂×C₃⋊C₈	C₂²×C₄	1	1	yes	characteristic
174	C₂×C₃⋊C₈	C₂²×C₄	1	1	yes	characteristic
175	Dic₁₂	C₂×C₈	1	1	yes	characteristic
176	D₂₄	C₂×C₈	1	1	yes	characteristic
177	#204	C₂×C₈	1	2	yes	—
178	ΓL(1,𝔽₂₅)	—	2	2	no	—
179	ΓL(1,𝔽₂₅)	—	2	2	no	—
180	ΓL(1,𝔽₂₅)	—	2	2	no	—
181	D₃×C₈	—	2	2	no	—
182	D₃×C₈	—	2	2	no	—
183	D₃×C₈	—	2	2	no	—
184	D₃×C₈	C₂×C₈	1	1	yes	characteristic
185	D₃×C₈	C₂×C₈	1	1	yes	characteristic
186	D₃×C₈	C₂×C₈	1	1	yes	characteristic
187	D₃×C₈	C₂×C₈	1	1	yes	characteristic
188	D₃×C₈	C₂×D₄	1	1	yes	characteristic
189	D₃×C₈	C₂×D₄	1	1	yes	characteristic
190	D₃×C₈	#41	1	1	yes	characteristic
191	D₃×C₈	#41	1	1	yes	characteristic
192	C₃×C₁₆	—	2	2	no	—
193	C₃×C₁₆	—	2	1	no	—
194	C₃×C₁₆	C₂×D₄	1	2	yes	—
195	C₃⋊C₁₆	—	2	2	no	—
196	C₃⋊C₁₆	—	2	1	no	—
197	C₃⋊C₁₆	C₂×D₄	1	2	yes	—
198	C₂×#41	—	3	2	no	—
199	#135	—	3	2	no	—
200	#135	—	3	1	no	—
201	#135	—	3	2	no	—
202	#135	—	3	1	no	—
203	#135	—	3	1	no	—
204	#135	C₄×D₃	1	1	yes	characteristic
205	C₂×Q₁₆	—	3	1	no	—
206	C₂×SD₁₆	—	3	2	no	—
207	C₂×D₈	—	3	1	no	—
208	#131	—	3	2	no	—
209	#131	—	3	2	no	—
210	#131	—	3	2	no	—
211	#131	—	6	2	no	—
212	#131	—	6	2	no	—
213	#131	C₂²×D₃	1	2	yes	—
214	C₂×M₁₆	—	3	2	no	—
215	C₂×M₁₆	—	6	2	no	—
216	C₂²×C₈	—	3	1	no	—
217	C₂²×C₈	—	3	1	no	—
218	C₂²×C₈	—	6	2	no	—
219	C₂×C₄²	—	3	1	no	—
220	M₃₂	—	2	2	no	—
221	M₃₂	—	3	2	no	—
222	M₃₂	—	3	2	no	—
223	M₃₂	—	3	2	no	—
224	M₃₂	—	6	2	no	—
225	M₃₂	—	6	1	no	—
226	M₃₂	—	6	1	no	—
227	M₃₂	—	6	2	no	—
228	M₃₂	—	6	2	no	—
229	M₃₂	—	6	2	no	—
230	M₃₂	C₂²×D₃	1	2	yes	—
231	C₂×C₁₆	—	2	2	no	—
232	C₂×C₁₆	—	3	1	no	—
233	C₂×C₁₆	—	3	1	no	—
234	C₂×C₁₆	—	6	2	no	—
235	C₂×C₁₆	—	6	2	no	—
236	C₂×C₁₆	—	6	2	no	—
237	C₂×C₁₆	—	6	2	no	—
238	C₂×C₁₆	C₂²×D₃	1	1	yes	characteristic
239	C₂×C₁₆	C₂²×D₃	1	1	yes	characteristic
240	#108	—	3	2	no	—
241	#108	—	3	1	no	—
242	#108	C₄×D₃	1	1	yes	characteristic
243	#104	—	3	2	no	—
244	#104	—	3	2	no	—
245	#104	—	3	2	no	—
246	#104	C₄×D₃	1	2	yes	—
247	C₄×C₈	—	3	1	no	—
248	C₄×C₈	—	3	1	no	—
249	C₄×C₈	—	3	1	no	—
250	C₄×C₈	C₂²×D₃	1	1	yes	characteristic
251	C₂²×D₃	—	2	2	no	—
252	C₂²×D₃	#131	1	1	yes	characteristic
253	C₃×Q₈	C₂²×C₈	1	2	yes	—
254	C₃×D₄	—	2	2	no	—
255	C₃×D₄	C₂²×C₈	1	2	yes	—
256	C₂×C₃×C₄	—	2	2	no	—
257	C₂×C₃×C₄	—	2	1	no	—
258	C₂×C₃×C₄	C₂³×C₄	1	1	yes	characteristic
259	#67	—	2	2	no	—
260	#67	—	2	2	no	—
261	#67	—	2	2	no	—
262	C₂×Dic₃	—	2	1	no	—
263	C₂×Dic₃	—	2	2	no	—
264	C₂×Dic₃	#131	1	1	yes	characteristic
265	D₁₂	—	2	2	no	—
266	D₁₂	C₂²×C₈	1	2	yes	—
267	C₄×D₃	—	2	2	no	—
268	C₄×D₃	—	2	2	no	—
269	C₄×D₃	—	2	2	no	—
270	C₄×D₃	—	4	2	no	—
271	C₄×D₃	C₄×D₄	1	1	yes	characteristic
272	C₄×D₃	C₄×D₄	1	1	yes	characteristic
273	C₄×D₃	C₂²×C₈	1	1	yes	characteristic
274	C₄×D₃	C₂²×C₈	1	1	yes	characteristic
275	Dic₆	—	2	2	no	—
276	Dic₆	C₂²×C₈	1	2	yes	—
277	C₃×C₈	—	2	2	no	—
278	C₃×C₈	C₂²×C₈	1	1	yes	characteristic
279	C₃×C₈	C₂²×C₈	1	1	yes	characteristic
280	C₃×C₈	C₂²×D₄	1	1	yes	characteristic
281	C₃×C₈	C₂×#41	1	1	yes	characteristic
282	C₃⋊C₈	—	2	2	no	—
283	C₃⋊C₈	C₄×D₄	1	1	yes	characteristic
284	C₃⋊C₈	C₄×D₄	1	1	yes	characteristic
285	C₃⋊C₈	C₂²×C₈	1	1	yes	characteristic
286	C₃⋊C₈	C₂²×C₈	1	1	yes	characteristic
287	#41	—	3	2	no	—
288	#41	—	3	2	no	—
289	#41	—	3	2	no	—
290	#41	—	6	2	no	—
291	#41	—	6	2	no	—
292	#41	C₂×C₄×D₃	1	2	yes	—
293	C₂×Q₈	—	3	2	no	—
294	C₂×D₄	—	3	2	no	—
295	C₂×D₄	—	6	2	no	—
296	C₂²×C₄	—	3	1	no	—
297	C₂²×C₄	—	6	2	no	—
298	C₂²×C₄	—	6	1	no	—
299	Q₁₆	—	3	2	no	—
300	Q₁₆	—	3	1	no	—
301	Q₁₆	D₃×C₈	1	1	yes	characteristic
302	SD₁₆	—	3	2	no	—
303	SD₁₆	—	3	2	no	—
304	SD₁₆	—	3	2	no	—
305	SD₁₆	D₃×C₈	1	2	yes	—
306	D₈	—	3	2	no	—
307	D₈	—	3	1	no	—
308	D₈	D₃×C₈	1	1	yes	characteristic
309	M₁₆	—	2	2	no	—
310	M₁₆	—	3	2	no	—
311	M₁₆	—	6	2	no	—
312	M₁₆	—	6	2	no	—
313	M₁₆	—	6	2	no	—
314	M₁₆	—	6	2	no	—
315	M₁₆	C₂×C₄×D₃	1	2	yes	—
316	C₂×C₈	—	2	2	no	—
317	C₂×C₈	—	3	1	no	—
318	C₂×C₈	—	3	1	no	—
319	C₂×C₈	—	3	1	no	—
320	C₂×C₈	—	3	1	no	—
321	C₂×C₈	—	3	1	no	—
322	C₂×C₈	—	3	1	no	—
323	C₂×C₈	—	3	1	no	—
324	C₂×C₈	—	3	1	no	—
325	C₂×C₈	—	3	1	no	—
326	C₂×C₈	—	3	1	no	—
327	C₂×C₈	—	6	2	no	—
328	C₂×C₈	—	6	2	no	—
329	C₂×C₈	—	6	2	no	—
330	C₂×C₈	—	6	2	no	—
331	C₂×C₈	C₂×C₄×D₃	1	1	yes	characteristic
332	C₂×C₈	C₂³×D₃	1	1	yes	characteristic
333	C₄²	—	3	1	no	—
334	C₄²	—	6	1	no	—
335	C₄²	C₂×C₄×D₃	1	1	yes	characteristic
336	C₁₆	—	2	2	no	—
337	C₁₆	—	2	1	no	—
338	C₁₆	—	3	2	no	—
339	C₁₆	—	6	2	no	—
340	C₁₆	—	6	1	no	—
341	C₁₆	D₃×D₄	1	2	yes	—
342	C₂²×C₃	—	2	2	no	—
343	C₂²×C₃	C₂×#131	1	1	yes	characteristic
344	C₂×D₃	—	2	2	no	—
345	C₂×D₃	—	4	1	no	—
346	C₂×D₃	—	8	2	no	—
347	C₂×D₃	C₈×D₄	1	1	yes	characteristic
348	C₂×D₃	C₈×D₄	1	1	yes	characteristic
349	C₃×C₄	—	2	2	no	—
350	C₃×C₄	—	4	1	no	—
351	C₃×C₄	C₂×C₄×D₄	1	1	yes	characteristic
352	C₃×C₄	C₂³×C₈	1	1	yes	characteristic
353	Dic₃	—	2	2	no	—
354	Dic₃	—	2	2	no	—
355	Dic₃	C₈×D₄	1	1	yes	characteristic
356	Dic₃	C₈×D₄	1	1	yes	characteristic
357	C₂³	—	3	1	no	—
358	C₂³	—	6	2	no	—
359	Q₈	—	3	2	no	—
360	Q₈	—	6	2	no	—
361	Q₈	C₂×D₃×C₈	1	2	yes	—
362	D₄	—	2	2	no	—
363	D₄	—	3	2	no	—
364	D₄	—	6	2	no	—
365	D₄	—	6	2	no	—
366	D₄	—	6	2	no	—
367	D₄	—	6	2	no	—
368	D₄	C₂×D₃×C₈	1	2	yes	—
369	C₂×C₄	—	2	2	no	—
370	C₂×C₄	—	2	1	no	—
371	C₂×C₄	—	3	1	no	—
372	C₂×C₄	—	3	1	no	—
373	C₂×C₄	—	3	1	no	—
374	C₂×C₄	—	3	1	no	—
375	C₂×C₄	—	3	1	no	—
376	C₂×C₄	—	6	2	no	—
377	C₂×C₄	—	6	2	no	—
378	C₂×C₄	—	6	2	no	—
379	C₂×C₄	—	6	1	no	—
380	C₂×C₄	—	6	2	no	—
381	C₂×C₄	—	12	2	no	—
382	C₂×C₄	C₂²×C₄×D₃	1	1	yes	characteristic
383	C₈	—	2	2	no	—
384	C₈	—	3	1	no	—
385	C₈	—	3	1	no	—
386	C₈	—	3	1	no	—
387	C₈	—	3	1	no	—
388	C₈	—	6	2	no	—
389	C₈	C₂×D₃×C₈	1	1	yes	characteristic
390	C₈	C₂×D₃×C₈	1	1	yes	characteristic
391	C₈	C₂×D₃×D₄	1	1	yes	characteristic
392	C₈	D₃×#41	1	1	yes	characteristic
393	C₂×C₃	—	2	1	no	—
394	C₂×C₃	—	4	2	no	—
395	C₂×C₃	C₂×C₈×D₄	1	1	yes	characteristic
396	D₃	—	2	1	no	—
397	D₃	—	2	1	no	—
398	D₃	—	4	2	no	—
399	C₂²	—	2	2	no	—
400	C₂²	—	3	1	no	—
401	C₂²	—	3	1	no	—
402	C₂²	—	6	2	no	—
403	C₂²	—	12	1	no	—
404	C₂²	—	24	2	no	—
405	C₂²	D₃×#131	1	1	yes	characteristic
406	C₄	—	2	2	no	—
407	C₄	—	3	1	no	—
408	C₄	—	3	1	no	—
409	C₄	—	4	1	no	—
410	C₄	—	6	2	no	—
411	C₄	—	6	2	no	—
412	C₄	C₄×D₃×D₄	1	1	yes	characteristic
413	C₄	C₂²×D₃×C₈	1	1	yes	characteristic
414	C₃	#33443	1	1	yes	characteristic, complemented, Sylow
415	C₂	—	2	1	no	—
416	C₂	—	4	2	no	—
417	C₂	—	6	1	no	—
418	C₂	—	6	1	no	—
419	C₂	—	12	2	no	—
420	C₂	D₃×C₈×D₄	1	1	yes	characteristic

	subgroup	G/H
center	C₈	C₂×D₃×D₄
commutator	C₃×C₄	C₂³×C₈
Frattini	C₂×C₈	C₂³×D₃
Fitting	C₃×#2171	C₂
socle	C₂×C₃	C₂×C₈×D₄
prime radical	D₃×#135	C₄
cosocle	C₂×C₃×C₈	C₂⁴
hypercenter	#2171	D₃
hypocenter	C₃	#33443
LCS	G ▷ C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₈ ◁ C₂×C₁₆ ◁ #2171

Complements

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

N	H ≅ G/N	type
1. #82012	C₂	semidirect
3. C₃×#2171	C₂	semidirect
4. #71452	C₂	semidirect
5. #70924	C₂	semidirect
6. D₃×#364	C₂	semidirect
7. #69301	C₂	semidirect
8. #69125	C₂	semidirect
9. #69122	C₂	semidirect
10. #69076	C₂	semidirect
11. #69071	C₂	semidirect
15. C₃×#504	C₂²	semidirect
19. #5140	C₂²	semidirect
21. #4907	C₂²	semidirect
25. #4901	C₂²	semidirect
35. C₃×#364	C₂²	semidirect
36. C₃×#350	C₂²	semidirect
37. C₃×#346	C₂²	semidirect
38. #4561	C₂²	semidirect
39. #4515	C₂²	semidirect
40. #4511	C₂²	semidirect
41. #4508	C₂²	semidirect
42. Dic₃×C₁₆	C₂²	semidirect
43. Dic₃×C₁₆	C₂²	semidirect
44. #4463	C₂²	semidirect
45. #4461	C₂²	semidirect
51. #2171	D₃	semidirect
117. #504	C₂×D₃	semidirect
134. #364	C₂×D₃	semidirect
138. #350	C₂×D₃	semidirect
140. #346	C₂×D₃	semidirect
414. C₃	#33443	semidirect

Maximal subgroups

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

subgroup	index
#82012	2
D₃×#443	2
C₃×#2171	2
#71452	2
#70924	2
D₃×#364	2
#69301	2
#69125	2
#69122	2
#69076	2
#69071	2
#33443	3