Subgroups — #1386×D₆₇ #30770744

Order 17152.

630 conjugacy classes of subgroups.

The subgroup lattice has 376 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×M₃₂×D₆₇	C₂	1	1	yes	maximal, characteristic
2	#427×D₆₇	C₂	1	1	yes	maximal, characteristic
3	C₂×#106×D₆₇	C₂	1	1	yes	maximal, characteristic
4	#22558316	C₂	1	1	yes	maximal, characteristic, complemented
5	#22558315	C₂	1	1	yes	maximal, characteristic, complemented
6	#22558314	C₂	1	1	yes	maximal, characteristic, complemented
7	C₆₇×#1386	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×C₈×D₆₇	C₂²	1	1	yes	characteristic
9	#117×D₆₇	—	2	1	no	—
10	C₂×C₄⋊C₄×D₆₇	—	2	1	no	—
11	C₂×#14523983	C₂²	1	1	yes	characteristic
12	C₂×#14523982	—	2	1	no	—
13	M₃₂×D₆₇	—	2	2	no	—
14	M₃₂×D₆₇	C₄	1	4	yes	complemented
15	C₂×C₁₆×D₆₇	—	2	1	no	—
16	#16863434	C₂²	1	1	yes	characteristic
17	#16863433	C₄	1	2	yes	complemented
18	#16863432	—	2	1	no	—
19	#16863431	—	2	1	no	—
20	#107×D₆₇	C₄	1	2	yes	complemented
21	C₂×#14523975	C₂²	1	1	yes	characteristic
22	C₂×#14523974	—	2	1	no	—
23	#106×D₆₇	—	2	2	no	—
24	#106×D₆₇	—	2	1	no	—
25	#106×D₆₇	C₄	1	4	yes	complemented
26	C₂×M₃₂×C₆₇	C₂²	1	1	yes	characteristic
27	#427×C₆₇	C₂²	1	1	yes	characteristic
28	C₂×#106×C₆₇	C₂²	1	1	yes	characteristic
29	C₂²×C₄×D₆₇	—	4	1	no	—
30	C₂²×C₄×D₆₇	D₄	1	1	yes	characteristic
31	C₂²×C₆₇⋊C₈	D₄	1	1	yes	characteristic
32	C₂×C₈×D₆₇	C₂×C₄	1	2	yes	—
33	C₂×C₈×D₆₇	C₂×C₄	1	2	yes	—
34	C₂×C₈×D₆₇	C₂×C₄	1	1	yes	characteristic
35	C₂×C₈×D₆₇	C₂×C₄	1	1	yes	characteristic
36	C₂×C₈×D₆₇	D₄	1	1	yes	characteristic
37	C₂×C₈×D₆₇	D₄	1	2	yes	—
38	C₂×C₈×D₆₇	D₄	1	1	yes	characteristic
39	C₂×C₈×D₆₇	Q₈	1	2	yes	—
40	#14524002	—	2	1	no	—
41	#14524001	—	2	2	no	—
42	#14524000	—	4	1	no	—
43	#14523999	—	4	1	no	—
44	C₂×C₄⋊Dic₆₇	—	2	1	no	—
45	C₂×Dic₆₇⋊C₄	—	4	1	no	—
46	C₄⋊C₄×D₆₇	—	2	4	no	—
47	C₄⋊C₄×D₆₇	—	2	2	no	—
48	C₄⋊C₄×D₆₇	—	4	2	no	—
49	C₂²⋊C₄×D₆₇	—	4	1	no	—
50	C₄²×D₆₇	—	4	1	no	—
51	#14523983	—	2	1	no	—
52	#14523983	C₂×C₄	1	2	yes	complemented
53	#14523982	—	2	4	no	—
54	C₂×C₆₇⋊C₁₆	—	2	1	no	—
55	C₁₆×D₆₇	—	2	4	no	—
56	#14523977	C₂×C₄	1	2	yes	complemented
57	#14523976	—	2	2	no	—
58	#14523975	—	2	1	no	—
59	#14523975	—	2	1	no	—
60	#14523975	C₂×C₄	1	2	yes	complemented
61	#14523974	—	2	4	no	—
62	#14523974	—	2	2	no	—
63	C₂²×C₈×C₆₇	C₂³	1	1	yes	characteristic
64	#117×C₆₇	—	2	1	no	—
65	C₂×C₄⋊C₄×C₆₇	—	2	1	no	—
66	M₃₂×C₆₇	—	2	1	no	—
67	M₃₂×C₆₇	C₂×C₄	1	2	yes	complemented
68	C₂×C₁₆×C₆₇	—	2	1	no	—
69	#107×C₆₇	C₂×C₄	1	2	yes	complemented
70	#106×C₆₇	—	2	1	no	—
71	#106×C₆₇	—	2	1	no	—
72	#106×C₆₇	C₂×C₄	1	2	yes	complemented
73	C₂³×D₆₇	D₈	1	1	yes	characteristic
74	C₂²×Dic₆₇	—	4	1	no	—
75	C₂²×Dic₆₇	D₈	1	1	yes	characteristic
76	C₂×C₄×D₆₇	—	4	2	no	—
77	C₂×C₄×D₆₇	—	4	4	no	—
78	C₂×C₄×D₆₇	—	8	4	no	—
79	C₂×C₄×D₆₇	C₂²⋊C₄	1	2	yes	—
80	C₂×C₄×D₆₇	C₂²⋊C₄	1	1	yes	characteristic
81	C₂×C₄×D₆₇	C₂²⋊C₄	1	1	yes	characteristic
82	C₂×C₄×D₆₇	C₄⋊C₄	1	2	yes	—
83	C₂×C₄×D₆₇	SD₁₆	1	1	yes	characteristic
84	C₂×C₄×D₆₇	SD₁₆	1	2	yes	—
85	C₂×C₄×D₆₇	SD₁₆	1	1	yes	characteristic
86	C₂×C₄×D₆₇	Q₁₆	1	2	yes	—
87	C₂×C₆₇⋊C₈	C₂²⋊C₄	1	2	yes	—
88	C₂×C₆₇⋊C₈	C₂²⋊C₄	1	1	yes	characteristic
89	C₂×C₆₇⋊C₈	C₂²⋊C₄	1	1	yes	characteristic
90	C₂×C₆₇⋊C₈	C₄⋊C₄	1	2	yes	—
91	C₈×D₆₇	C₄²	1	2	yes	—
92	C₈×D₆₇	C₄²	1	2	yes	—
93	C₈×D₆₇	C₂²⋊C₄	1	2	yes	—
94	C₈×D₆₇	C₂²⋊C₄	1	2	yes	—
95	C₈×D₆₇	C₄⋊C₄	1	2	yes	—
96	C₈×D₆₇	C₄⋊C₄	1	2	yes	—
97	C₈×D₆₇	C₄⋊C₄	1	2	yes	—
98	C₈×D₆₇	C₄⋊C₄	1	2	yes	—
99	C₄⋊Dic₆₇	—	2	2	no	—
100	C₄⋊Dic₆₇	—	2	2	no	—
101	C₄⋊Dic₆₇	—	4	1	no	—
102	Dic₆₇⋊C₄	—	4	4	no	—
103	Dic₆₇⋊C₄	—	4	2	no	—
104	C₂²⋊Dic₆₇	—	4	1	no	—
105	(C₂×D₆₇)⋊C₄	—	4	2	no	—
106	C₄×Dic₆₇	—	4	1	no	—
107	C₄×Dic₆₇	—	4	2	no	—
108	C₆₇⋊C₁₆	—	2	2	no	—
109	C₂²×C₄×C₆₇	—	4	1	no	—
110	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
111	C₂×C₈×C₆₇	C₂²×C₄	1	1	yes	characteristic
112	C₂×C₈×C₆₇	C₂²×C₄	1	1	yes	characteristic
113	C₂×C₈×C₆₇	C₂²×C₄	1	1	yes	characteristic
114	C₂×C₈×C₆₇	C₂×D₄	1	1	yes	characteristic
115	C₂×C₈×C₆₇	C₂×D₄	1	1	yes	characteristic
116	C₂×C₈×C₆₇	C₂×Q₈	1	1	yes	characteristic
117	C₄⋊C₄×C₆₇	—	2	2	no	—
118	C₄⋊C₄×C₆₇	—	2	2	no	—
119	C₄⋊C₄×C₆₇	—	4	1	no	—
120	C₂²⋊C₄×C₆₇	—	4	1	no	—
121	C₄²×C₆₇	—	4	1	no	—
122	C₁₆×C₆₇	—	2	2	no	—
123	C₂³×C₆₇	C₂×D₈	1	1	yes	characteristic
124	C₂²×D₆₇	—	2	4	no	—
125	C₂²×D₆₇	#102	1	1	yes	characteristic
126	C₂²×D₆₇	#102	1	2	yes	—
127	C₂²×D₆₇	#102	1	1	yes	characteristic
128	C₂²×D₆₇	#107	1	2	yes	—
129	C₂×C₄×C₆₇	—	4	2	no	—
130	C₂×C₄×C₆₇	—	4	2	no	—
131	C₂×C₄×C₆₇	—	8	2	no	—
132	C₂×C₄×C₆₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
133	C₂×C₄×C₆₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
134	C₂×C₄×C₆₇	C₂×C₄⋊C₄	1	1	yes	characteristic
135	C₂×C₄×C₆₇	C₂×SD₁₆	1	1	yes	characteristic
136	C₂×C₄×C₆₇	C₂×SD₁₆	1	1	yes	characteristic
137	C₂×C₄×C₆₇	C₂×Q₁₆	1	1	yes	characteristic
138	C₂×Dic₆₇	—	4	2	no	—
139	C₂×Dic₆₇	—	4	2	no	—
140	C₂×Dic₆₇	—	8	2	no	—
141	C₂×Dic₆₇	#102	1	1	yes	characteristic
142	C₂×Dic₆₇	#102	1	2	yes	—
143	C₂×Dic₆₇	#102	1	1	yes	characteristic
144	C₂×Dic₆₇	#107	1	2	yes	—
145	C₄×D₆₇	—	8	8	no	—
146	C₄×D₆₇	—	8	4	no	—
147	C₄×D₆₇	#95	1	2	yes	—
148	C₄×D₆₇	#95	1	2	yes	—
149	C₄×D₆₇	#103	1	2	yes	—
150	C₄×D₆₇	#103	1	2	yes	—
151	C₄×D₆₇	#103	1	2	yes	—
152	C₄×D₆₇	#103	1	2	yes	—
153	C₄×D₆₇	#106	1	2	yes	—
154	C₄×D₆₇	#106	1	2	yes	—
155	C₈×C₆₇	C₂×C₄²	1	1	yes	characteristic
156	C₈×C₆₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
157	C₈×C₆₇	C₂×C₄⋊C₄	1	1	yes	characteristic
158	C₈×C₆₇	C₂×C₄⋊C₄	1	1	yes	characteristic
159	C₆₇⋊C₈	#95	1	2	yes	—
160	C₆₇⋊C₈	#95	1	2	yes	—
161	C₂²×C₆₇	—	2	2	no	—
162	C₂²×C₆₇	C₂×#102	1	1	yes	characteristic
163	C₂²×C₆₇	C₂×#102	1	1	yes	characteristic
164	C₂²×C₆₇	C₂×#107	1	1	yes	characteristic
165	C₂×D₆₇	—	2	2	no	—
166	C₂×D₆₇	—	2	4	no	—
167	C₂×D₆₇	—	2	4	no	—
168	C₂×D₆₇	#340	1	2	yes	—
169	C₂×D₆₇	#340	1	2	yes	—
170	C₂×D₆₇	#360	1	4	yes	—
171	C₄×C₆₇	—	8	2	no	—
172	C₄×C₆₇	—	8	2	no	—
173	C₄×C₆₇	C₂×#95	1	1	yes	characteristic
174	C₄×C₆₇	C₂×#103	1	1	yes	characteristic
175	C₄×C₆₇	C₂×#103	1	1	yes	characteristic
176	C₄×C₆₇	C₂×#106	1	1	yes	characteristic
177	Dic₆₇	—	8	2	no	—
178	Dic₆₇	—	8	2	no	—
179	Dic₆₇	#340	1	2	yes	—
180	Dic₆₇	#340	1	2	yes	—
181	C₂×#1386	—	67	1	no	maximal, Sylow
182	C₂×C₆₇	—	2	1	no	—
183	C₂×C₆₇	—	2	1	no	—
184	C₂×C₆₇	C₂×#340	1	1	yes	characteristic
185	C₂×C₆₇	C₂×#360	1	2	yes	—
186	D₆₇	—	2	2	no	—
187	D₆₇	#1386	1	4	yes	direct product factor
188	C₂²×M₃₂	—	67	1	no	—
189	C₂×#427	—	67	1	no	—
190	C₂²×#106	—	67	1	no	—
191	#1386	—	67	1	no	—
192	#1386	—	67	1	no	—
193	#1386	—	67	1	no	—
194	#1386	D₆₇	1	1	yes	characteristic, direct product factor
195	C₆₇	C₂×#1386	1	1	yes	characteristic, complemented, Sylow
196	C₂³×C₈	—	67	1	no	—
197	C₂×#117	—	134	1	no	—
198	C₂²×C₄⋊C₄	—	134	1	no	—
199	C₂×M₃₂	—	67	1	no	—
200	C₂×M₃₂	—	67	4	no	—
201	C₂×M₃₂	—	134	1	no	—
202	C₂×M₃₂	—	134	2	no	—
203	C₂×M₃₂	C₂×D₆₇	1	1	yes	characteristic
204	C₂²×C₁₆	—	134	1	no	—
205	#427	—	67	1	no	—
206	#427	—	67	2	no	—
207	#427	—	134	1	no	—
208	#427	—	134	1	no	—
209	#427	C₂×D₆₇	1	1	yes	characteristic
210	C₂×#107	—	67	2	no	—
211	C₂×#106	—	67	1	no	—
212	C₂×#106	—	67	4	no	—
213	C₂×#106	—	134	2	no	—
214	C₂×#106	—	134	1	no	—
215	C₂×#106	—	134	1	no	—
216	C₂×#106	C₂×D₆₇	1	1	yes	characteristic
217	C₂³×C₄	—	268	1	no	—
218	C₂³×C₄	—	67	1	no	—
219	C₂²×C₈	—	67	1	no	—
220	C₂²×C₈	—	67	2	no	—
221	C₂²×C₈	—	67	1	no	—
222	C₂²×C₈	—	67	1	no	—
223	C₂²×C₈	—	67	2	no	—
224	C₂²×C₈	—	67	1	no	—
225	C₂²×C₈	—	67	2	no	—
226	C₂²×C₈	—	67	1	no	—
227	C₂²×C₈	—	67	2	no	—
228	C₂²×C₈	C₂²×D₆₇	1	1	yes	characteristic
229	#117	—	2	1	no	—
230	#117	—	268	1	no	—
231	#117	—	268	1	no	—
232	#117	—	134	2	no	—
233	#117	—	134	1	no	—
234	C₂×C₄⋊C₄	—	2	1	no	—
235	C₂×C₄⋊C₄	—	268	2	no	—
236	C₂×C₄⋊C₄	—	268	1	no	—
237	C₂×C₄⋊C₄	—	134	4	no	—
238	C₂×C₄⋊C₄	—	134	2	no	—
239	C₂×C₄⋊C₄	—	134	1	no	—
240	C₂×C₂²⋊C₄	—	268	1	no	—
241	C₂×C₄²	—	268	1	no	—
242	M₃₂	—	2	1	no	—
243	M₃₂	—	67	2	no	—
244	M₃₂	—	134	4	no	—
245	M₃₂	—	134	1	no	—
246	M₃₂	C₄×D₆₇	1	2	yes	complemented
247	C₂×C₁₆	—	2	1	no	—
248	C₂×C₁₆	—	134	4	no	—
249	C₂×C₁₆	—	134	1	no	—
250	#107	—	67	2	no	—
251	#107	—	134	2	no	—
252	#107	C₄×D₆₇	1	2	yes	complemented
253	#106	—	2	1	no	—
254	#106	—	2	1	no	—
255	#106	—	67	2	no	—
256	#106	—	134	4	no	—
257	#106	—	134	2	no	—
258	#106	—	134	1	no	—
259	#106	—	134	1	no	—
260	#106	C₄×D₆₇	1	2	yes	complemented
261	C₂⁴	—	67	1	no	—
262	C₂²×C₄	—	4	1	no	—
263	C₂²×C₄	—	268	2	no	—
264	C₂²×C₄	—	268	4	no	—
265	C₂²×C₄	—	268	1	no	—
266	C₂²×C₄	—	536	4	no	—
267	C₂²×C₄	—	67	1	no	—
268	C₂²×C₄	—	67	2	no	—
269	C₂²×C₄	—	67	1	no	—
270	C₂²×C₄	—	67	1	no	—
271	C₂²×C₄	—	67	2	no	—
272	C₂²×C₄	—	67	1	no	—
273	C₂²×C₄	—	67	2	no	—
274	C₂²×C₄	—	67	1	no	—
275	C₂²×C₄	—	67	2	no	—
276	C₂²×C₄	D₄×D₆₇	1	1	yes	characteristic
277	C₂×C₈	—	67	2	no	—
278	C₂×C₈	—	67	1	no	—
279	C₂×C₈	—	67	1	no	—
280	C₂×C₈	—	67	2	no	—
281	C₂×C₈	—	67	2	no	—
282	C₂×C₈	—	67	2	no	—
283	C₂×C₈	—	67	2	no	—
284	C₂×C₈	—	67	2	no	—
285	C₂×C₈	—	67	2	no	—
286	C₂×C₈	—	67	2	no	—
287	C₂×C₈	—	67	2	no	—
288	C₂×C₈	—	67	2	no	—
289	C₂×C₈	C₂×C₄×D₆₇	1	1	yes	characteristic
290	C₂×C₈	C₂×C₄×D₆₇	1	1	yes	characteristic
291	C₂×C₈	C₂×C₄×D₆₇	1	1	yes	characteristic
292	C₂×C₈	D₄×D₆₇	1	1	yes	characteristic
293	C₂×C₈	D₄×D₆₇	1	1	yes	characteristic
294	C₂×C₈	Q₈×D₆₇	1	1	yes	characteristic
295	C₄⋊C₄	—	2	2	no	—
296	C₄⋊C₄	—	2	2	no	—
297	C₄⋊C₄	—	4	1	no	—
298	C₄⋊C₄	—	268	4	no	—
299	C₄⋊C₄	—	268	2	no	—
300	C₄⋊C₄	—	268	1	no	—
301	C₄⋊C₄	—	134	2	no	—
302	C₄⋊C₄	—	134	2	no	—
303	C₂²⋊C₄	—	4	1	no	—
304	C₂²⋊C₄	—	268	2	no	—
305	C₂²⋊C₄	—	268	1	no	—
306	C₄²	—	4	1	no	—
307	C₄²	—	268	2	no	—
308	C₄²	—	268	1	no	—
309	C₁₆	—	2	2	no	—
310	C₁₆	—	134	2	no	—
311	C₂³	—	67	1	no	—
312	C₂³	—	67	2	no	—
313	C₂³	—	67	1	no	—
314	C₂³	—	67	2	no	—
315	C₂³	—	134	4	no	—
316	C₂³	D₈×D₆₇	1	1	yes	characteristic
317	C₂×C₄	—	4	2	no	—
318	C₂×C₄	—	4	2	no	—
319	C₂×C₄	—	8	2	no	—
320	C₂×C₄	—	268	2	no	—
321	C₂×C₄	—	268	2	no	—
322	C₂×C₄	—	536	4	no	—
323	C₂×C₄	—	536	8	no	—
324	C₂×C₄	—	536	2	no	—
325	C₂×C₄	—	67	2	no	—
326	C₂×C₄	—	67	1	no	—
327	C₂×C₄	—	67	1	no	—
328	C₂×C₄	—	67	2	no	—
329	C₂×C₄	—	67	2	no	—
330	C₂×C₄	—	67	2	no	—
331	C₂×C₄	—	67	2	no	—
332	C₂×C₄	—	67	2	no	—
333	C₂×C₄	—	67	2	no	—
334	C₂×C₄	—	67	2	no	—
335	C₂×C₄	—	67	2	no	—
336	C₂×C₄	—	67	2	no	—
337	C₂×C₄	C₂²⋊C₄×D₆₇	1	1	yes	characteristic
338	C₂×C₄	C₂²⋊C₄×D₆₇	1	1	yes	characteristic
339	C₂×C₄	C₄⋊C₄×D₆₇	1	1	yes	characteristic
340	C₂×C₄	SD₁₆×D₆₇	1	1	yes	characteristic
341	C₂×C₄	SD₁₆×D₆₇	1	1	yes	characteristic
342	C₂×C₄	Q₁₆×D₆₇	1	1	yes	characteristic
343	C₈	—	67	2	no	—
344	C₈	—	67	2	no	—
345	C₈	C₄²×D₆₇	1	1	yes	characteristic
346	C₈	C₂²⋊C₄×D₆₇	1	1	yes	characteristic
347	C₈	C₄⋊C₄×D₆₇	1	1	yes	characteristic
348	C₈	C₄⋊C₄×D₆₇	1	1	yes	characteristic
349	C₂²	—	2	2	no	—
350	C₂²	—	67	4	no	—
351	C₂²	—	67	2	no	—
352	C₂²	—	67	2	no	—
353	C₂²	—	134	4	no	—
354	C₂²	—	134	4	no	—
355	C₂²	—	134	2	no	—
356	C₂²	#102×D₆₇	1	1	yes	characteristic
357	C₂²	#102×D₆₇	1	1	yes	characteristic
358	C₂²	#107×D₆₇	1	1	yes	characteristic
359	C₄	—	8	2	no	—
360	C₄	—	8	2	no	—
361	C₄	—	536	2	no	—
362	C₄	—	536	2	no	—
363	C₄	—	67	2	no	—
364	C₄	—	67	2	no	—
365	C₄	#95×D₆₇	1	1	yes	characteristic
366	C₄	#103×D₆₇	1	1	yes	characteristic
367	C₄	#103×D₆₇	1	1	yes	characteristic
368	C₄	#106×D₆₇	1	1	yes	characteristic
369	C₂	—	2	1	no	—
370	C₂	—	2	1	no	—
371	C₂	—	67	4	no	—
372	C₂	—	134	2	no	—
373	C₂	#340×D₆₇	1	1	yes	characteristic
374	C₂	#360×D₆₇	1	2	yes	—

	subgroup	G/H
center	C₂²	#102×D₆₇
commutator	C₈×C₆₇	C₂×C₄²
Frattini	C₂²×C₈	C₂²×D₆₇
Fitting	C₆₇×#1386	C₂
socle	C₂²×C₆₇	C₂×#102
prime radical	C₂³×D₆₇	D₈
cosocle	C₂²×C₈×C₆₇	C₂³
hypercenter	#1386	D₆₇
hypocenter	C₆₇	C₂×#1386
LCS	G ▷ C₈×C₆₇ ▷ C₄×C₆₇ ▷ C₂×C₆₇ ▷ C₆₇
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂²×C₈ ◁ #1386

Complements

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

N	H ≅ G/N	type
4. #22558316	C₂	semidirect
5. #22558315	C₂	semidirect
6. #22558314	C₂	semidirect
7. C₆₇×#1386	C₂	semidirect
14. M₃₂×D₆₇	C₄	semidirect
17. #16863433	C₄	semidirect
20. #107×D₆₇	C₄	semidirect
25. #106×D₆₇	C₄	semidirect
52. #14523983	C₂×C₄	semidirect
56. #14523977	C₂×C₄	semidirect
60. #14523975	C₂×C₄	semidirect
67. M₃₂×C₆₇	C₂×C₄	semidirect
69. #107×C₆₇	C₂×C₄	semidirect
72. #106×C₆₇	C₂×C₄	semidirect
187. D₆₇	#1386	direct (N × H)
194. #1386	D₆₇	direct (N × H)
195. C₆₇	C₂×#1386	semidirect
246. M₃₂	C₄×D₆₇	semidirect
252. #107	C₄×D₆₇	semidirect
260. #106	C₄×D₆₇	semidirect

Maximal subgroups

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

subgroup	index
C₂×M₃₂×D₆₇	2
#427×D₆₇	2
C₂×#106×D₆₇	2
#22558316	2
#22558315	2
#22558314	2
C₆₇×#1386	2
C₂×#1386	67

Subgroups — #1386×D67 #30770744

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #1386×D₆₇ #30770744