Subgroups — #30873426

Order 17152.

704 conjugacy classes of subgroups.

The subgroup lattice has 374 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22568867	C₂	1	2	yes	maximal
2	#22560958	C₂	1	2	yes	maximal, complemented
3	#22560810	C₂	1	4	yes	maximal, complemented
4	#22560308	C₂	1	2	yes	maximal
5	#22560247	C₂	1	1	yes	maximal, characteristic
6	#22560090	C₂	1	2	yes	maximal, complemented
7	C₈×C₂²⋊Dic₆₇	C₂	1	1	yes	maximal, characteristic
8	C₂×#427×C₆₇	C₂	1	1	yes	maximal, characteristic
9	#16863457	—	2	4	no	—
10	#16863453	—	2	2	no	—
11	#16863449	—	2	2	no	—
12	C₂×#14523979	C₂²	1	2	yes	—
13	#16863423	C₂²	1	4	yes	—
14	#16863360	C₂²	1	2	yes	—
15	C₂×C₂²⋊(C₆₇⋊C₈)	C₂²	1	1	yes	characteristic
16	#16863352	C₂²	1	4	yes	—
17	C₂×C₈×Dic₆₇	C₂²	1	2	yes	—
18	C₄×C₂²⋊Dic₆₇	C₂²	1	1	yes	characteristic
19	#16863161	C₂²	1	2	yes	—
20	#16863155	C₂²	1	4	yes	—
21	#16863155	C₂²	1	4	yes	—
22	#16863150	C₂²	1	2	yes	—
23	C₂³×C₈×C₆₇	C₂²	1	1	yes	characteristic
24	C₂×#117×C₆₇	C₂²	1	2	yes	—
25	#427×C₆₇	C₄	1	1	yes	characteristic, complemented
26	#427×C₆₇	C₄	1	1	yes	characteristic, complemented
27	#427×C₆₇	C₄	1	2	yes	complemented
28	#427×C₆₇	C₂²	1	2	yes	—
29	#427×C₆₇	C₂²	1	1	yes	characteristic
30	#427×C₆₇	C₂²	1	1	yes	characteristic
31	C₂×#107×C₆₇	C₄	1	1	yes	characteristic, complemented
32	C₂×#107×C₆₇	C₄	1	1	yes	characteristic, complemented
33	C₂×#106×C₆₇	C₄	1	2	yes	complemented
34	C₂×#11761612	C₂³	1	4	yes	—
35	C₂²×C₆₇⋊C₈	C₂³	1	2	yes	—
36	C₂×C₂²⋊Dic₆₇	—	2	1	no	—
37	C₂×C₄×Dic₆₇	C₂³	1	2	yes	—
38	#14523979	—	2	4	no	—
39	C₄⋊(C₆₇⋊C₈)	—	2	4	no	—
40	C₄⋊(C₆₇⋊C₈)	—	2	4	no	—
41	C₂²⋊(C₆₇⋊C₈)	—	2	2	no	—
42	C₂²⋊(C₆₇⋊C₈)	—	2	2	no	—
43	C₂²⋊(C₆₇⋊C₈)	D₄	1	1	yes	characteristic
44	C₂²⋊(C₆₇⋊C₈)	D₄	1	1	yes	characteristic
45	C₂²⋊(C₆₇⋊C₈)	D₄	1	2	yes	—
46	#14523954	—	2	4	no	—
47	C₄×C₆₇⋊C₈	—	2	4	no	—
48	C₈×Dic₆₇	—	2	4	no	—
49	C₆₇⋊#95	—	2	1	no	—
50	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
51	C₂²×C₈×C₆₇	—	2	4	no	—
52	C₂²×C₈×C₆₇	C₂×C₄	1	1	yes	characteristic
53	C₂²×C₈×C₆₇	C₂×C₄	1	1	yes	characteristic
54	C₂²×C₈×C₆₇	C₂×C₄	1	1	yes	characteristic
55	C₂²×C₈×C₆₇	C₂×C₄	1	1	yes	characteristic
56	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
57	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
58	#117×C₆₇	—	2	2	no	—
59	#117×C₆₇	—	2	2	no	—
60	#117×C₆₇	C₂×C₄	1	2	yes	—
61	#117×C₆₇	C₂×C₄	1	2	yes	—
62	#117×C₆₇	C₂³	1	2	yes	—
63	#117×C₆₇	C₂³	1	2	yes	—
64	C₂×C₄⋊C₄×C₆₇	C₂×C₄	1	2	yes	—
65	C₂×C₄⋊C₄×C₆₇	C₂×C₄	1	2	yes	—
66	C₂×C₂²⋊C₄×C₆₇	—	2	2	no	—
67	C₂×C₄²×C₆₇	—	2	2	no	—
68	#107×C₆₇	C₂×C₄	1	2	yes	—
69	#107×C₆₇	C₂×C₄	1	2	yes	—
70	#107×C₆₇	C₂×C₄	1	1	yes	characteristic
71	#107×C₆₇	C₂×C₄	1	1	yes	characteristic
72	#107×C₆₇	C₂×C₄	1	1	yes	characteristic
73	#107×C₆₇	C₂×C₄	1	1	yes	characteristic
74	#106×C₆₇	C₂×C₄	1	2	yes	—
75	#106×C₆₇	C₂×C₄	1	2	yes	—
76	#106×C₆₇	C₂×C₄	1	2	yes	—
77	#106×C₆₇	C₂×C₄	1	2	yes	—
78	C₂²×Dic₆₇	—	2	2	no	—
79	#11761612	—	2	4	no	—
80	#11761612	—	2	4	no	—
81	C₂×C₆₇⋊C₈	—	2	2	no	—
82	C₂×C₆₇⋊C₈	—	2	2	no	—
83	C₂×C₆₇⋊C₈	—	2	4	no	—
84	C₂×C₆₇⋊C₈	C₂×D₄	1	2	yes	—
85	C₂×C₆₇⋊C₈	C₂×D₄	1	2	yes	—
86	C₂²⋊Dic₆₇	—	2	4	no	—
87	C₄×Dic₆₇	—	2	2	no	—
88	C₄×Dic₆₇	—	2	2	no	—
89	C₂⁴×C₆₇	#41	1	1	yes	characteristic
90	C₂²×C₄×C₆₇	—	2	2	no	—
91	C₂²×C₄×C₆₇	—	2	2	no	—
92	C₂²×C₄×C₆₇	—	2	2	no	—
93	C₂²×C₄×C₆₇	—	2	2	no	—
94	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
95	C₂²×C₄×C₆₇	C₂²×C₄	1	1	yes	characteristic
96	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
97	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
98	C₂²×C₄×C₆₇	#41	1	1	yes	characteristic
99	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
100	C₂×C₈×C₆₇	—	2	2	no	—
101	C₂×C₈×C₆₇	—	2	2	no	—
102	C₂×C₈×C₆₇	—	2	2	no	—
103	C₂×C₈×C₆₇	—	2	2	no	—
104	C₂×C₈×C₆₇	—	2	2	no	—
105	C₂×C₈×C₆₇	C₂²×C₄	1	1	yes	characteristic
106	C₂×C₈×C₆₇	C₂²×C₄	1	1	yes	characteristic
107	C₂×C₈×C₆₇	C₂²×C₄	1	1	yes	characteristic
108	C₂×C₈×C₆₇	C₂²×C₄	1	1	yes	characteristic
109	C₂×C₈×C₆₇	#41	1	4	yes	—
110	C₄⋊C₄×C₆₇	—	2	2	no	—
111	C₄⋊C₄×C₆₇	—	2	2	no	—
112	C₄⋊C₄×C₆₇	C₂²×C₄	1	2	yes	—
113	C₄⋊C₄×C₆₇	C₂²×C₄	1	2	yes	—
114	C₄⋊C₄×C₆₇	C₂²×C₄	1	2	yes	—
115	C₄⋊C₄×C₆₇	C₂²×C₄	1	2	yes	—
116	C₂²⋊C₄×C₆₇	—	2	2	no	—
117	C₂²⋊C₄×C₆₇	—	2	2	no	—
118	C₂²⋊C₄×C₆₇	—	2	2	no	—
119	C₂²⋊C₄×C₆₇	—	2	2	no	—
120	C₄²×C₆₇	—	2	2	no	—
121	C₄²×C₆₇	—	2	2	no	—
122	C₄²×C₆₇	—	2	2	no	—
123	C₄²×C₆₇	—	2	2	no	—
124	C₂³×C₆₇	—	2	2	no	—
125	C₂³×C₆₇	—	2	2	no	—
126	C₂³×C₆₇	—	4	1	no	—
127	C₂³×C₆₇	C₄×D₄	1	1	yes	characteristic
128	C₂³×C₆₇	C₄×D₄	1	1	yes	characteristic
129	C₂³×C₆₇	C₂×#41	1	1	yes	characteristic
130	C₂×C₄×C₆₇	—	2	2	no	—
131	C₂×C₄×C₆₇	—	2	1	no	—
132	C₂×C₄×C₆₇	—	2	1	no	—
133	C₂×C₄×C₆₇	—	2	1	no	—
134	C₂×C₄×C₆₇	—	2	1	no	—
135	C₂×C₄×C₆₇	—	2	2	no	—
136	C₂×C₄×C₆₇	—	2	2	no	—
137	C₂×C₄×C₆₇	—	2	2	no	—
138	C₂×C₄×C₆₇	—	2	2	no	—
139	C₂×C₄×C₆₇	—	2	2	no	—
140	C₂×C₄×C₆₇	—	2	2	no	—
141	C₂×C₄×C₆₇	—	4	4	no	—
142	C₂×C₄×C₆₇	—	8	2	no	—
143	C₂×C₄×C₆₇	C₄×D₄	1	1	yes	characteristic
144	C₂×C₄×C₆₇	C₄×D₄	1	1	yes	characteristic
145	C₂×C₄×C₆₇	C₂³×C₄	1	1	yes	characteristic
146	C₂×C₄×C₆₇	C₂²×D₄	1	1	yes	characteristic
147	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
148	C₂×C₄×C₆₇	2₋¹⁺⁴	1	2	yes	—
149	C₂×Dic₆₇	—	2	4	no	—
150	C₂×Dic₆₇	—	4	2	no	—
151	C₂×Dic₆₇	—	4	2	no	—
152	C₈×C₆₇	—	2	1	no	—
153	C₈×C₆₇	—	2	1	no	—
154	C₈×C₆₇	#117	1	2	yes	—
155	C₈×C₆₇	#117	1	2	yes	—
156	C₆₇⋊C₈	—	2	2	no	—
157	C₆₇⋊C₈	—	2	2	no	—
158	C₆₇⋊C₈	—	4	4	no	—
159	C₂²×C₆₇	—	2	1	no	—
160	C₂²×C₆₇	—	2	1	no	—
161	C₂²×C₆₇	—	2	1	no	—
162	C₂²×C₆₇	—	2	1	no	—
163	C₂²×C₆₇	—	2	1	no	—
164	C₂²×C₆₇	—	2	1	no	—
165	C₂²×C₆₇	—	2	1	no	—
166	C₂²×C₆₇	—	4	4	no	—
167	C₂²×C₆₇	#443	1	2	yes	—
168	C₂²×C₆₇	C₂×C₄×D₄	1	1	yes	characteristic
169	C₂²×C₆₇	#552	1	2	yes	—
170	C₄×C₆₇	—	2	1	no	—
171	C₄×C₆₇	—	2	1	no	—
172	C₄×C₆₇	—	4	2	no	—
173	C₄×C₆₇	—	4	2	no	—
174	C₄×C₆₇	—	4	2	no	—
175	C₄×C₆₇	—	4	2	no	—
176	C₄×C₆₇	C₂×#117	1	1	yes	characteristic
177	C₄×C₆₇	#519	1	1	yes	characteristic
178	C₄×C₆₇	#547	1	2	yes	—
179	Dic₆₇	—	4	4	no	—
180	#22606	—	67	1	no	maximal, Sylow
181	C₂×C₆₇	—	2	2	no	—
182	C₂×C₆₇	—	2	2	no	—
183	C₂×C₆₇	—	4	1	no	—
184	C₂×C₆₇	#2344	1	1	yes	characteristic
185	C₂×C₆₇	C₂×#443	1	1	yes	characteristic
186	C₂×C₆₇	#2957	1	1	yes	characteristic
187	#2924	—	67	2	no	—
188	C₂×#427	D₆₇	1	1	yes	characteristic
189	#1945	—	67	2	no	—
190	#1922	—	67	4	no	—
191	#1826	—	67	2	no	—
192	#1810	—	67	1	no	—
193	#1772	—	67	2	no	—
194	C₈×C₂²⋊C₄	—	67	1	no	—
195	C₆₇	#22606	1	1	yes	characteristic, complemented, Sylow
196	C₂³×C₈	C₂×D₆₇	1	1	yes	characteristic
197	C₂×#117	C₂×D₆₇	1	2	yes	—
198	#433	—	134	4	no	—
199	#432	—	134	2	no	—
200	#431	—	134	2	no	—
201	C₂×#108	—	67	2	no	—
202	#427	Dic₆₇	1	1	yes	characteristic, complemented
203	#427	Dic₆₇	1	1	yes	characteristic, complemented
204	#427	Dic₆₇	1	2	yes	complemented
205	#427	C₂×D₆₇	1	2	yes	—
206	#427	C₂×D₆₇	1	1	yes	characteristic
207	#427	C₂×D₆₇	1	1	yes	characteristic
208	C₂×#107	Dic₆₇	1	1	yes	characteristic, complemented
209	C₂×#107	Dic₆₇	1	1	yes	characteristic, complemented
210	C₂×#106	Dic₆₇	1	2	yes	complemented
211	#424	—	67	4	no	—
212	#407	—	67	2	no	—
213	C₂×C₂²⋊C₈	—	67	1	no	—
214	#405	—	67	4	no	—
215	C₂×C₄×C₈	—	67	2	no	—
216	C₄×C₂²⋊C₄	—	67	1	no	—
217	#341	—	67	2	no	—
218	#339	—	67	4	no	—
219	#339	—	67	4	no	—
220	#336	—	67	2	no	—
221	C₂³×C₄	C₂²×D₆₇	1	1	yes	characteristic
222	C₂×M₁₆	—	67	4	no	—
223	C₂²×C₈	—	2	4	no	—
224	C₂²×C₈	—	67	2	no	—
225	C₂²×C₈	C₂×Dic₆₇	1	1	yes	characteristic
226	C₂²×C₈	C₂×Dic₆₇	1	1	yes	characteristic
227	C₂²×C₈	C₂×Dic₆₇	1	1	yes	characteristic
228	C₂²×C₈	C₂×Dic₆₇	1	1	yes	characteristic
229	C₂²×C₈	C₂²×D₆₇	1	1	yes	characteristic
230	C₂²×C₈	C₂²×D₆₇	1	1	yes	characteristic
231	#117	—	2	2	no	—
232	#117	—	2	2	no	—
233	#117	C₂×Dic₆₇	1	2	yes	—
234	#117	C₂×Dic₆₇	1	2	yes	—
235	#117	C₂²×D₆₇	1	2	yes	—
236	#117	C₂²×D₆₇	1	2	yes	—
237	C₂×C₄⋊C₄	C₂×Dic₆₇	1	2	yes	—
238	C₂×C₄⋊C₄	C₂×Dic₆₇	1	2	yes	—
239	C₂×C₂²⋊C₄	—	2	2	no	—
240	C₂×C₂²⋊C₄	—	134	1	no	—
241	C₂×C₄²	—	2	2	no	—
242	C₂×C₄²	—	67	2	no	—
243	#108	—	134	4	no	—
244	#107	C₂×Dic₆₇	1	2	yes	—
245	#107	C₂×Dic₆₇	1	2	yes	—
246	#107	C₂×Dic₆₇	1	1	yes	characteristic
247	#107	C₂×Dic₆₇	1	1	yes	characteristic
248	#107	C₂×Dic₆₇	1	1	yes	characteristic
249	#107	C₂×Dic₆₇	1	1	yes	characteristic
250	#106	C₂×Dic₆₇	1	2	yes	—
251	#106	C₂×Dic₆₇	1	2	yes	—
252	#106	C₂×Dic₆₇	1	2	yes	—
253	#106	C₂×Dic₆₇	1	2	yes	—
254	C₄⋊C₈	—	134	4	no	—
255	C₄⋊C₈	—	134	4	no	—
256	C₂²⋊C₈	—	67	1	no	—
257	C₂²⋊C₈	—	67	1	no	—
258	C₂²⋊C₈	—	67	2	no	—
259	C₂²⋊C₈	—	134	2	no	—
260	C₂²⋊C₈	—	134	2	no	—
261	#97	—	134	4	no	—
262	C₄×C₈	—	134	4	no	—
263	C₄×C₈	—	134	4	no	—
264	#95	—	134	1	no	—
265	C₂⁴	#11761627	1	1	yes	characteristic
266	C₂²×C₄	—	2	2	no	—
267	C₂²×C₄	—	2	2	no	—
268	C₂²×C₄	—	2	2	no	—
269	C₂²×C₄	—	2	2	no	—
270	C₂²×C₄	—	134	2	no	—
271	C₂²×C₄	C₂²×Dic₆₇	1	1	yes	characteristic
272	C₂²×C₄	C₂²×Dic₆₇	1	1	yes	characteristic
273	C₂²×C₄	D₄×D₆₇	1	1	yes	characteristic
274	C₂²×C₄	D₄×D₆₇	1	1	yes	characteristic
275	C₂²×C₄	#11761627	1	1	yes	characteristic
276	C₂²×C₄	C₂³×D₆₇	1	1	yes	characteristic
277	M₁₆	—	134	4	no	—
278	M₁₆	—	134	4	no	—
279	C₂×C₈	—	2	2	no	—
280	C₂×C₈	—	2	2	no	—
281	C₂×C₈	—	2	2	no	—
282	C₂×C₈	—	2	2	no	—
283	C₂×C₈	—	2	2	no	—
284	C₂×C₈	—	67	2	no	—
285	C₂×C₈	—	67	2	no	—
286	C₂×C₈	—	134	4	no	—
287	C₂×C₈	—	134	2	no	—
288	C₂×C₈	—	134	2	no	—
289	C₂×C₈	C₂²×Dic₆₇	1	1	yes	characteristic
290	C₂×C₈	C₂²×Dic₆₇	1	1	yes	characteristic
291	C₂×C₈	C₂²×Dic₆₇	1	1	yes	characteristic
292	C₂×C₈	C₂²×Dic₆₇	1	1	yes	characteristic
293	C₂×C₈	#11761628	1	4	yes	—
294	C₄⋊C₄	—	2	2	no	—
295	C₄⋊C₄	—	2	2	no	—
296	C₄⋊C₄	C₂²×Dic₆₇	1	2	yes	—
297	C₄⋊C₄	C₂²×Dic₆₇	1	2	yes	—
298	C₄⋊C₄	C₂²×Dic₆₇	1	2	yes	—
299	C₄⋊C₄	C₂²×Dic₆₇	1	2	yes	—
300	C₂²⋊C₄	—	2	2	no	—
301	C₂²⋊C₄	—	2	2	no	—
302	C₂²⋊C₄	—	2	2	no	—
303	C₂²⋊C₄	—	2	2	no	—
304	C₂²⋊C₄	—	134	4	no	—
305	C₄²	—	2	2	no	—
306	C₄²	—	2	2	no	—
307	C₄²	—	2	2	no	—
308	C₄²	—	2	2	no	—
309	C₄²	—	134	2	no	—
310	C₄²	—	134	2	no	—
311	C₂³	—	2	2	no	—
312	C₂³	—	2	2	no	—
313	C₂³	—	4	1	no	—
314	C₂³	D₄×Dic₆₇	1	1	yes	characteristic
315	C₂³	D₄×Dic₆₇	1	1	yes	characteristic
316	C₂³	C₂×#11761627	1	1	yes	characteristic
317	C₂×C₄	—	2	2	no	—
318	C₂×C₄	—	2	2	no	—
319	C₂×C₄	—	2	2	no	—
320	C₂×C₄	—	2	1	no	—
321	C₂×C₄	—	2	1	no	—
322	C₂×C₄	—	2	1	no	—
323	C₂×C₄	—	2	1	no	—
324	C₂×C₄	—	2	2	no	—
325	C₂×C₄	—	2	2	no	—
326	C₂×C₄	—	2	2	no	—
327	C₂×C₄	—	2	2	no	—
328	C₂×C₄	—	4	4	no	—
329	C₂×C₄	—	8	2	no	—
330	C₂×C₄	—	268	2	no	—
331	C₂×C₄	—	268	2	no	—
332	C₂×C₄	—	134	4	no	—
333	C₂×C₄	D₄×Dic₆₇	1	1	yes	characteristic
334	C₂×C₄	D₄×Dic₆₇	1	1	yes	characteristic
335	C₂×C₄	C₂³×Dic₆₇	1	1	yes	characteristic
336	C₂×C₄	C₂×D₄×D₆₇	1	1	yes	characteristic
337	C₂×C₄	C₂×#11761628	1	2	yes	—
338	C₂×C₄	#14524091	1	2	yes	—
339	C₈	—	2	1	no	—
340	C₈	—	2	1	no	—
341	C₈	—	268	4	no	—
342	C₈	—	134	2	no	—
343	C₈	—	134	2	no	—
344	C₈	#14524002	1	2	yes	—
345	C₈	#14524002	1	2	yes	—
346	C₂²	—	2	1	no	—
347	C₂²	—	2	1	no	—
348	C₂²	—	2	1	no	—
349	C₂²	—	2	1	no	—
350	C₂²	—	2	1	no	—
351	C₂²	—	2	1	no	—
352	C₂²	—	2	1	no	—
353	C₂²	—	4	4	no	—
354	C₂²	#16863513	1	2	yes	—
355	C₂²	C₂×D₄×Dic₆₇	1	1	yes	characteristic
356	C₂²	#16864081	1	2	yes	—
357	C₄	—	2	1	no	—
358	C₄	—	2	1	no	—
359	C₄	—	4	2	no	—
360	C₄	—	4	2	no	—
361	C₄	—	4	2	no	—
362	C₄	—	4	2	no	—
363	C₄	—	268	4	no	—
364	C₄	C₂×#14524002	1	1	yes	characteristic
365	C₄	#16863874	1	1	yes	characteristic
366	C₄	#16864047	1	2	yes	—
367	C₂	—	2	2	no	—
368	C₂	—	2	2	no	—
369	C₂	—	4	1	no	—
370	C₂	#22563078	1	1	yes	characteristic
371	C₂	C₂×#16863513	1	1	yes	characteristic
372	C₂	#22569126	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₆₇
commutator	C₂×C₄×C₆₇	C₂³×C₄
Frattini	C₂²×C₄	C₂³×D₆₇
Fitting	C₂×#427×C₆₇	C₂
socle	C₂²×C₆₇	C₂×C₄×D₄
prime radical	C₂⁴×C₆₇	#41
cosocle	C₂²×C₄×C₆₇	C₂⁴
hypercenter	C₂×#427	D₆₇
hypocenter	C₆₇	#22606
LCS	G ▷ C₂×C₄×C₆₇ ▷ C₂×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂×C₄ ◁ C₂³×C₄ ◁ C₂×#427

Complements

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

N	H ≅ G/N	type
2. #22560958	C₂	semidirect
3. #22560810	C₂	semidirect
6. #22560090	C₂	semidirect
25. #427×C₆₇	C₄	semidirect
26. #427×C₆₇	C₄	semidirect
27. #427×C₆₇	C₄	semidirect
31. C₂×#107×C₆₇	C₄	semidirect
32. C₂×#107×C₆₇	C₄	semidirect
33. C₂×#106×C₆₇	C₄	semidirect
195. C₆₇	#22606	semidirect
202. #427	Dic₆₇	semidirect
203. #427	Dic₆₇	semidirect
204. #427	Dic₆₇	semidirect
208. C₂×#107	Dic₆₇	semidirect
209. C₂×#107	Dic₆₇	semidirect
210. C₂×#106	Dic₆₇	semidirect

Maximal subgroups

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

subgroup	index
#22568867	2
#22560958	2
#22560810	2
#22560308	2
#22560247	2
#22560090	2
C₈×C₂²⋊Dic₆₇	2
C₂×#427×C₆₇	2
#22606	67