Subgroups — C₃×Dic₃×#107 #11784465

Order 1152.

625 conjugacy classes of subgroups.

The subgroup lattice has 354 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃²×#107	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃×#818	C₂	1	1	yes	maximal, characteristic
3	C₂×C₃×C₈×Dic₃	C₂	1	1	yes	maximal, characteristic
4	C₃×Dic₃×C₄⋊C₄	C₂	1	2	yes	maximal
5	C₃×#4529	C₂	1	2	yes	maximal
6	C₃×C₄×#107	—	3	1	no	maximal
7	Dic₃×#107	C₃	1	1	yes	maximal, characteristic, direct product factor
8	C₂²×C₃²×C₈	C₂²	1	1	yes	characteristic
9	C₂×C₃²×C₄⋊C₄	C₂²	1	2	yes	—
10	C₂×C₃×C₄⋊Dic₃	C₂²	1	2	yes	—
11	C₂×C₃×C₄×Dic₃	—	2	2	no	—
12	C₂×C₃×C₄×Dic₃	C₂²	1	1	yes	characteristic
13	C₂²×C₃×C₃⋊C₈	C₂²	1	1	yes	characteristic
14	C₃²×#107	C₄	1	4	yes	complemented
15	C₃×C₃⋊#95	—	2	2	no	—
16	C₃×#818	C₄	1	4	yes	complemented
17	C₃×C₈×Dic₃	C₄	1	4	yes	complemented
18	C₂×C₃×#107	—	2	1	no	—
19	C₂×C₃×#107	—	3	1	no	—
20	C₂×C₃×#107	D₃	1	1	yes	characteristic
21	C₂×C₃×#107	C₂×C₃	1	1	yes	characteristic
22	C₂×C₃×C₄×C₈	—	3	1	no	—
23	C₃×C₄×C₄⋊C₄	—	3	2	no	—
24	C₂×#818	C₂×C₃	1	1	yes	characteristic
25	C₂×C₈×Dic₃	C₂×C₃	1	1	yes	characteristic
26	Dic₃×C₄⋊C₄	C₂×C₃	1	2	yes	—
27	C₃×#340	—	3	2	no	—
28	#4529	C₂×C₃	1	2	yes	—
29	C₂²×C₃²×C₄	—	2	2	no	—
30	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
31	C₂²×C₃×Dic₃	—	2	2	no	—
32	C₂²×C₃×Dic₃	D₄	1	1	yes	characteristic
33	C₂²×C₃×Dic₃	D₄	1	1	yes	characteristic
34	C₂×C₃²×C₈	C₂×C₄	1	2	yes	—
35	C₂×C₃²×C₈	C₂×C₄	1	2	yes	—
36	C₂×C₃²×C₈	C₂×C₄	1	2	yes	—
37	C₃²×C₄⋊C₄	—	2	2	no	—
38	C₃²×C₄⋊C₄	C₂×C₄	1	4	yes	—
39	C₃×C₄⋊Dic₃	—	2	2	no	—
40	C₃×C₄⋊Dic₃	C₂×C₄	1	4	yes	—
41	C₃×C₄×Dic₃	—	4	4	no	—
42	C₃×C₄×Dic₃	C₂×C₄	1	2	yes	—
43	C₃×C₄×Dic₃	Q₈	1	2	yes	—
44	C₂×C₃×C₃⋊C₈	—	2	1	no	—
45	C₂×C₃×C₃⋊C₈	—	2	1	no	—
46	C₂×C₃×C₃⋊C₈	C₂×C₄	1	2	yes	—
47	C₄×#107	—	3	1	no	Sylow
48	C₂²×C₃×C₈	—	2	1	no	—
49	C₂²×C₃×C₈	—	3	1	no	—
50	C₂²×C₃×C₈	C₂×D₃	1	1	yes	characteristic
51	C₂²×C₃×C₈	C₂²×C₃	1	1	yes	characteristic
52	C₂×C₃×C₄⋊C₄	—	2	2	no	—
53	C₂×C₃×C₄⋊C₄	—	3	2	no	—
54	C₂×C₃×C₄⋊C₄	C₂×D₃	1	2	yes	—
55	C₂×C₃×C₄⋊C₄	C₂²×C₃	1	2	yes	—
56	C₂×C₃×C₄²	—	3	1	no	—
57	C₂×C₃×C₄²	—	6	2	no	—
58	C₂×C₄⋊Dic₃	C₂²×C₃	1	2	yes	—
59	C₂×C₄×Dic₃	—	2	2	no	—
60	C₂×C₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
61	C₂²×C₃⋊C₈	C₂²×C₃	1	1	yes	characteristic
62	C₃×#107	—	2	4	no	—
63	C₃×#107	—	3	4	no	—
64	C₃×#107	Dic₃	1	4	yes	direct product factor
65	C₃×#107	C₃×C₄	1	4	yes	complemented
66	C₃×C₄×C₈	—	3	4	no	—
67	C₃×#95	—	6	2	no	—
68	C₃⋊#95	—	2	2	no	—
69	#818	C₃×C₄	1	4	yes	complemented
70	C₈×Dic₃	C₃×C₄	1	4	yes	complemented
71	C₂³×C₃²	C₂×D₄	1	1	yes	characteristic
72	C₂×C₃²×C₄	—	2	4	no	—
73	C₂×C₃²×C₄	—	4	2	no	—
74	C₂×C₃²×C₄	—	4	2	no	—
75	C₂×C₃²×C₄	C₂²×C₄	1	1	yes	characteristic
76	C₂×C₃²×C₄	C₂²×C₄	1	1	yes	characteristic
77	C₂×C₃²×C₄	C₂²×C₄	1	1	yes	characteristic
78	C₂×C₃²×C₄	C₂×Q₈	1	1	yes	characteristic
79	C₂×C₃²×C₄	#41	1	1	yes	characteristic
80	C₂×C₃²×C₄	#41	1	1	yes	characteristic
81	C₂×C₃×Dic₃	—	2	1	no	—
82	C₂×C₃×Dic₃	—	2	1	no	—
83	C₂×C₃×Dic₃	—	2	4	no	—
84	C₂×C₃×Dic₃	—	4	2	no	—
85	C₂×C₃×Dic₃	—	4	2	no	—
86	C₂×C₃×Dic₃	C₄⋊C₄	1	2	yes	—
87	C₂×C₃×Dic₃	C₄⋊C₄	1	2	yes	—
88	C₂×C₃×Dic₃	D₈	1	2	yes	—
89	C₂×C₃×Dic₃	Q₁₆	1	2	yes	—
90	C₃²×C₈	C₄²	1	4	yes	complemented
91	C₃×C₃⋊C₈	—	2	2	no	—
92	C₂×#107	—	3	1	no	—
93	C₂×#107	C₃×D₃	1	1	yes	characteristic
94	C₂×C₄×C₈	—	3	1	no	—
95	C₄×C₄⋊C₄	—	3	2	no	—
96	#340	—	3	2	no	—
97	C₂²×C₃×C₄	—	2	2	no	—
98	C₂²×C₃×C₄	—	2	2	no	—
99	C₂²×C₃×C₄	—	2	1	no	—
100	C₂²×C₃×C₄	—	3	1	no	—
101	C₂²×C₃×C₄	—	3	1	no	—
102	C₂²×C₃×C₄	—	4	2	no	—
103	C₂²×C₃×C₄	—	6	2	no	—
104	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
105	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
106	C₂²×Dic₃	—	2	2	no	—
107	C₂²×Dic₃	C₃×D₄	1	1	yes	characteristic
108	C₂²×Dic₃	C₃×D₄	1	1	yes	characteristic
109	C₂×C₃×C₈	—	2	2	no	—
110	C₂×C₃×C₈	—	2	2	no	—
111	C₂×C₃×C₈	—	2	2	no	—
112	C₂×C₃×C₈	—	3	2	no	—
113	C₂×C₃×C₈	—	6	1	no	—
114	C₂×C₃×C₈	—	6	1	no	—
115	C₂×C₃×C₈	C₄×D₃	1	2	yes	—
116	C₂×C₃×C₈	C₄×D₃	1	2	yes	—
117	C₂×C₃×C₈	C₂×Dic₃	1	2	yes	—
118	C₂×C₃×C₈	C₂×C₃×C₄	1	2	yes	—
119	C₂×C₃×C₈	C₂×C₃×C₄	1	2	yes	—
120	C₂×C₃×C₈	C₂×C₃×C₄	1	2	yes	—
121	C₃×C₄⋊C₄	—	2	2	no	—
122	C₃×C₄⋊C₄	—	2	2	no	—
123	C₃×C₄⋊C₄	—	2	4	no	—
124	C₃×C₄⋊C₄	—	3	4	no	—
125	C₃×C₄⋊C₄	—	4	2	no	—
126	C₃×C₄⋊C₄	—	6	2	no	—
127	C₃×C₄⋊C₄	C₂×Dic₃	1	4	yes	—
128	C₃×C₄⋊C₄	C₂×C₃×C₄	1	4	yes	—
129	C₃×C₄²	—	3	2	no	—
130	C₃×C₄²	—	3	2	no	—
131	C₃×C₄²	—	12	4	no	—
132	C₄⋊Dic₃	—	2	2	no	—
133	C₄⋊Dic₃	C₂×C₃×C₄	1	4	yes	—
134	C₄×Dic₃	—	4	4	no	—
135	C₄×Dic₃	C₂×C₃×C₄	1	2	yes	—
136	C₄×Dic₃	C₃×Q₈	1	2	yes	—
137	C₂×C₃⋊C₈	—	2	1	no	—
138	C₂×C₃⋊C₈	—	2	1	no	—
139	C₂×C₃⋊C₈	C₂×C₃×C₄	1	2	yes	—
140	C₂²×C₃²	C₂×C₄⋊C₄	1	1	yes	characteristic
141	C₂²×C₃²	C₄×D₄	1	1	yes	characteristic
142	C₂²×C₃²	C₄×D₄	1	1	yes	characteristic
143	C₂²×C₃²	C₂×D₈	1	1	yes	characteristic
144	C₂²×C₃²	C₂×Q₁₆	1	1	yes	characteristic
145	C₂²×C₃²	#135	1	1	yes	characteristic
146	C₂²×C₃²	#135	1	1	yes	characteristic
147	C₃²×C₄	—	4	4	no	—
148	C₃²×C₄	C₂×C₄²	1	1	yes	characteristic
149	C₃²×C₄	#117	1	1	yes	characteristic
150	C₃²×C₄	C₄×Q₈	1	1	yes	characteristic
151	C₃²×C₄	C₄×Q₈	1	1	yes	characteristic
152	C₃×Dic₃	—	2	2	no	—
153	C₃×Dic₃	—	4	4	no	—
154	C₃×Dic₃	#107	1	4	yes	direct product factor
155	C₂²×C₈	—	3	1	no	—
156	C₂²×C₈	C₂×C₃×D₃	1	1	yes	characteristic
157	C₂×C₄⋊C₄	—	3	2	no	—
158	C₂×C₄⋊C₄	C₂×C₃×D₃	1	2	yes	—
159	C₂×C₄²	—	3	1	no	—
160	C₂×C₄²	—	6	2	no	—
161	#107	—	3	4	no	—
162	#107	C₃×Dic₃	1	4	yes	direct product factor
163	C₄×C₈	—	3	4	no	—
164	#95	—	6	2	no	—
165	C₂³×C₃	—	2	1	no	—
166	C₂³×C₃	D₃×D₄	1	1	yes	characteristic
167	C₂³×C₃	C₂×C₃×D₄	1	1	yes	characteristic
168	C₂×C₃×C₄	—	2	4	no	—
169	C₂×C₃×C₄	—	2	4	no	—
170	C₂×C₃×C₄	—	2	1	no	—
171	C₂×C₃×C₄	—	2	1	no	—
172	C₂×C₃×C₄	—	2	1	no	—
173	C₂×C₃×C₄	—	2	1	no	—
174	C₂×C₃×C₄	—	2	1	no	—
175	C₂×C₃×C₄	—	2	1	no	—
176	C₂×C₃×C₄	—	3	2	no	—
177	C₂×C₃×C₄	—	3	2	no	—
178	C₂×C₃×C₄	—	3	2	no	—
179	C₂×C₃×C₄	—	3	2	no	—
180	C₂×C₃×C₄	—	4	4	no	—
181	C₂×C₃×C₄	—	4	2	no	—
182	C₂×C₃×C₄	—	4	2	no	—
183	C₂×C₃×C₄	—	4	2	no	—
184	C₂×C₃×C₄	—	4	2	no	—
185	C₂×C₃×C₄	—	6	1	no	—
186	C₂×C₃×C₄	—	6	1	no	—
187	C₂×C₃×C₄	—	6	4	no	—
188	C₂×C₃×C₄	—	8	2	no	—
189	C₂×C₃×C₄	—	8	2	no	—
190	C₂×C₃×C₄	—	12	2	no	—
191	C₂×C₃×C₄	—	12	2	no	—
192	C₂×C₃×C₄	C₂×C₄×D₃	1	1	yes	characteristic
193	C₂×C₃×C₄	C₂×C₄×D₃	1	1	yes	characteristic
194	C₂×C₃×C₄	#237	1	1	yes	characteristic
195	C₂×C₃×C₄	D₃×Q₈	1	1	yes	characteristic
196	C₂×C₃×C₄	#239	1	1	yes	characteristic
197	C₂×C₃×C₄	C₂²×Dic₃	1	1	yes	characteristic
198	C₂×C₃×C₄	C₂²×C₃×C₄	1	1	yes	characteristic
199	C₂×C₃×C₄	C₂²×C₃×C₄	1	1	yes	characteristic
200	C₂×C₃×C₄	C₂²×C₃×C₄	1	1	yes	characteristic
201	C₂×C₃×C₄	C₂×C₃×Q₈	1	1	yes	characteristic
202	C₂×C₃×C₄	C₃×#41	1	1	yes	characteristic
203	C₂×C₃×C₄	C₃×#41	1	1	yes	characteristic
204	C₂×Dic₃	—	2	1	no	—
205	C₂×Dic₃	—	2	1	no	—
206	C₂×Dic₃	—	2	4	no	—
207	C₂×Dic₃	—	4	2	no	—
208	C₂×Dic₃	—	4	2	no	—
209	C₂×Dic₃	C₃×C₄⋊C₄	1	2	yes	—
210	C₂×Dic₃	C₃×C₄⋊C₄	1	2	yes	—
211	C₂×Dic₃	C₃×D₈	1	2	yes	—
212	C₂×Dic₃	C₃×Q₁₆	1	2	yes	—
213	C₃×C₈	—	2	4	no	—
214	C₃×C₈	—	6	2	no	—
215	C₃×C₈	C₄×Dic₃	1	4	yes	complemented
216	C₃×C₈	C₃×C₄²	1	4	yes	complemented
217	C₃⋊C₈	—	2	2	no	—
218	C₂×C₃²	C₄×C₄⋊C₄	1	1	yes	characteristic
219	C₂×C₃²	C₂×#107	1	1	yes	characteristic
220	C₂×C₃²	#427	1	1	yes	characteristic
221	C₂×C₃²	C₄×D₈	1	1	yes	characteristic
222	C₂×C₃²	C₄×D₈	1	1	yes	characteristic
223	C₂×C₃²	C₄×Q₁₆	1	1	yes	characteristic
224	C₂×C₃²	C₄×Q₁₆	1	1	yes	characteristic
225	C₂²×C₄	—	2	2	no	—
226	C₂²×C₄	—	3	1	no	—
227	C₂²×C₄	—	3	1	no	—
228	C₂²×C₄	—	6	2	no	—
229	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
230	C₂×C₈	—	3	2	no	—
231	C₂×C₈	—	6	1	no	—
232	C₂×C₈	—	6	1	no	—
233	C₂×C₈	C₃×C₄×D₃	1	2	yes	—
234	C₂×C₈	C₃×C₄×D₃	1	2	yes	—
235	C₂×C₈	C₂×C₃×Dic₃	1	2	yes	—
236	C₄⋊C₄	—	2	2	no	—
237	C₄⋊C₄	—	3	4	no	—
238	C₄⋊C₄	—	6	2	no	—
239	C₄⋊C₄	C₂×C₃×Dic₃	1	4	yes	—
240	C₄²	—	3	2	no	—
241	C₄²	—	3	2	no	—
242	C₄²	—	12	4	no	—
243	C₂²×C₃	—	2	1	no	—
244	C₂²×C₃	—	2	1	no	—
245	C₂²×C₃	—	2	1	no	—
246	C₂²×C₃	—	2	1	no	—
247	C₂²×C₃	—	2	1	no	—
248	C₂²×C₃	—	2	1	no	—
249	C₂²×C₃	—	2	1	no	—
250	C₂²×C₃	D₃×C₄⋊C₄	1	1	yes	characteristic
251	C₂²×C₃	#893	1	1	yes	characteristic
252	C₂²×C₃	D₃×D₈	1	1	yes	characteristic
253	C₂²×C₃	#912	1	1	yes	characteristic
254	C₂²×C₃	D₃×Q₁₆	1	1	yes	characteristic
255	C₂²×C₃	#919	1	1	yes	characteristic
256	C₂²×C₃	D₄×Dic₃	1	1	yes	characteristic
257	C₂²×C₃	C₂×C₃×C₄⋊C₄	1	1	yes	characteristic
258	C₂²×C₃	C₃×C₄×D₄	1	1	yes	characteristic
259	C₂²×C₃	C₃×C₄×D₄	1	1	yes	characteristic
260	C₂²×C₃	C₂×C₃×D₈	1	1	yes	characteristic
261	C₂²×C₃	C₂×C₃×Q₁₆	1	1	yes	characteristic
262	C₂²×C₃	C₃×#135	1	1	yes	characteristic
263	C₂²×C₃	C₃×#135	1	1	yes	characteristic
264	C₃×C₄	—	2	1	no	—
265	C₃×C₄	—	2	1	no	—
266	C₃×C₄	—	2	1	no	—
267	C₃×C₄	—	2	1	no	—
268	C₃×C₄	—	3	4	no	—
269	C₃×C₄	—	4	4	no	—
270	C₃×C₄	—	4	4	no	—
271	C₃×C₄	—	6	2	no	—
272	C₃×C₄	—	8	4	no	—
273	C₃×C₄	—	12	4	no	—
274	C₃×C₄	#887	1	1	yes	characteristic
275	C₃×C₄	#892	1	1	yes	characteristic
276	C₃×C₄	C₂×C₄×Dic₃	1	1	yes	characteristic
277	C₃×C₄	Q₈×Dic₃	1	1	yes	characteristic
278	C₃×C₄	C₂×C₃×C₄²	1	1	yes	characteristic
279	C₃×C₄	C₃×#117	1	1	yes	characteristic
280	C₃×C₄	C₃×C₄×Q₈	1	1	yes	characteristic
281	C₃×C₄	C₃×C₄×Q₈	1	1	yes	characteristic
282	Dic₃	—	2	2	no	—
283	Dic₃	—	4	4	no	—
284	Dic₃	C₃×#107	1	4	yes	direct product factor
285	C₃²	C₄×#107	1	1	yes	characteristic, complemented, Sylow
286	C₂³	C₃×D₃×D₄	1	1	yes	characteristic
287	C₂×C₄	—	2	4	no	—
288	C₂×C₄	—	3	2	no	—
289	C₂×C₄	—	3	2	no	—
290	C₂×C₄	—	3	2	no	—
291	C₂×C₄	—	3	2	no	—
292	C₂×C₄	—	4	2	no	—
293	C₂×C₄	—	4	2	no	—
294	C₂×C₄	—	6	1	no	—
295	C₂×C₄	—	6	1	no	—
296	C₂×C₄	—	6	4	no	—
297	C₂×C₄	—	12	2	no	—
298	C₂×C₄	—	12	2	no	—
299	C₂×C₄	C₂×C₃×C₄×D₃	1	1	yes	characteristic
300	C₂×C₄	C₂×C₃×C₄×D₃	1	1	yes	characteristic
301	C₂×C₄	C₃×#237	1	1	yes	characteristic
302	C₂×C₄	C₃×D₃×Q₈	1	1	yes	characteristic
303	C₂×C₄	C₃×#239	1	1	yes	characteristic
304	C₂×C₄	C₂²×C₃×Dic₃	1	1	yes	characteristic
305	C₈	—	6	2	no	—
306	C₈	C₃×C₄×Dic₃	1	4	yes	complemented
307	C₂×C₃	—	2	1	no	—
308	C₂×C₃	—	2	1	no	—
309	C₂×C₃	—	2	1	no	—
310	C₂×C₃	—	2	1	no	—
311	C₂×C₃	—	2	1	no	—
312	C₂×C₃	—	2	1	no	—
313	C₂×C₃	—	2	1	no	—
314	C₂×C₃	#4872	1	1	yes	characteristic
315	C₂×C₃	#4873	1	1	yes	characteristic
316	C₂×C₃	D₃×#107	1	1	yes	characteristic
317	C₂×C₃	#4880	1	1	yes	characteristic
318	C₂×C₃	Dic₃×C₄⋊C₄	1	1	yes	characteristic
319	C₂×C₃	Dic₃×D₈	1	1	yes	characteristic
320	C₂×C₃	Dic₃×Q₁₆	1	1	yes	characteristic
321	C₂×C₃	C₃×C₄×C₄⋊C₄	1	1	yes	characteristic
322	C₂×C₃	C₂×C₃×#107	1	1	yes	characteristic
323	C₂×C₃	C₃×#427	1	1	yes	characteristic
324	C₂×C₃	C₃×C₄×D₈	1	1	yes	characteristic
325	C₂×C₃	C₃×C₄×D₈	1	1	yes	characteristic
326	C₂×C₃	C₃×C₄×Q₁₆	1	1	yes	characteristic
327	C₂×C₃	C₃×C₄×Q₁₆	1	1	yes	characteristic
328	C₂²	C₃×D₃×C₄⋊C₄	1	1	yes	characteristic
329	C₂²	C₃×#893	1	1	yes	characteristic
330	C₂²	C₃×D₃×D₈	1	1	yes	characteristic
331	C₂²	C₃×#912	1	1	yes	characteristic
332	C₂²	C₃×D₃×Q₁₆	1	1	yes	characteristic
333	C₂²	C₃×#919	1	1	yes	characteristic
334	C₂²	C₃×D₄×Dic₃	1	1	yes	characteristic
335	C₄	—	3	4	no	—
336	C₄	—	4	4	no	—
337	C₄	—	6	2	no	—
338	C₄	—	12	4	no	—
339	C₄	C₃×#887	1	1	yes	characteristic
340	C₄	C₃×#892	1	1	yes	characteristic
341	C₄	C₂×C₃×C₄×Dic₃	1	1	yes	characteristic
342	C₄	C₃×Q₈×Dic₃	1	1	yes	characteristic
343	C₃	—	2	1	no	—
344	C₃	Dic₃×#107	1	1	yes	characteristic, direct product factor
345	C₃	C₃×C₄×#107	1	1	yes	characteristic, complemented
346	C₂	C₃×#4872	1	1	yes	characteristic
347	C₂	C₃×#4873	1	1	yes	characteristic
348	C₂	C₃×D₃×#107	1	1	yes	characteristic
349	C₂	C₃×#4880	1	1	yes	characteristic
350	C₂	C₃×Dic₃×C₄⋊C₄	1	1	yes	characteristic
351	C₂	C₃×Dic₃×D₈	1	1	yes	characteristic
352	C₂	C₃×Dic₃×Q₁₆	1	1	yes	characteristic

	subgroup	G/H
center	C₂³×C₃	D₃×D₄
commutator	C₃×C₄	C₂×C₃×C₄²
Frattini	C₂²×C₄	C₂²×C₃×D₃
Fitting	C₂×C₃²×#107	C₂
socle, prime radical	C₂³×C₃²	C₂×D₄
cosocle	C₂²×C₃×C₄	C₂³×C₃
hypercenter	C₂×C₃×#107	D₃
hypocenter	C₃	C₃×C₄×#107
LCS	G ▷ C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂³×C₃ ◁ C₂²×C₃×C₄ ◁ C₂×C₃×#107

Complements

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

N	H ≅ G/N	type
7. Dic₃×#107	C₃	direct (N × H)
14. C₃²×#107	C₄	semidirect
16. C₃×#818	C₄	semidirect
17. C₃×C₈×Dic₃	C₄	semidirect
64. C₃×#107	Dic₃	direct (N × H)
65. C₃×#107	C₃×C₄	semidirect
69. #818	C₃×C₄	semidirect
70. C₈×Dic₃	C₃×C₄	semidirect
90. C₃²×C₈	C₄²	semidirect
154. C₃×Dic₃	#107	direct (N × H)
162. #107	C₃×Dic₃	direct (N × H)
215. C₃×C₈	C₄×Dic₃	semidirect
216. C₃×C₈	C₃×C₄²	semidirect
284. Dic₃	C₃×#107	direct (N × H)
285. C₃²	C₄×#107	semidirect
306. C₈	C₃×C₄×Dic₃	semidirect
344. C₃	Dic₃×#107	direct (N × H)
345. C₃	C₃×C₄×#107	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃²×#107	2
C₂×C₃×#818	2
C₂×C₃×C₈×Dic₃	2
C₃×Dic₃×C₄⋊C₄	2
C₃×#4529	2
C₃×C₄×#107	3
Dic₃×#107	3

Subgroups — C3×Dic3×#107 #11784465

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×Dic₃×#107 #11784465