Subgroups — #31815855

Order 17792.

496 conjugacy classes of subgroups.

The subgroup lattice has 396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#17984862	C₂	1	1	yes	maximal, characteristic, complemented
2	#22581499	C₂	1	1	yes	maximal, characteristic, complemented
3	#41×Dic₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#22581177	C₂	1	1	yes	maximal, characteristic, complemented
5	#22581173	C₂	1	1	yes	maximal, characteristic, complemented
6	#22581170	C₂	1	1	yes	maximal, characteristic, complemented
7	#22581166	C₂	1	1	yes	maximal, characteristic, complemented
8	#22581161	C₂	1	1	yes	maximal, characteristic, complemented
9	#22581156	C₂	1	1	yes	maximal, characteristic, complemented
10	#22581151	C₂	1	1	yes	maximal, characteristic, complemented
11	#22581146	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×Dic₁₃₉⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
13	#22580950	C₂	1	1	yes	maximal, characteristic, complemented
14	#22580949	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#135×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#14555785	C₂²	1	1	yes	characteristic
17	#17984862	—	2	4	no	—
18	C₂×#14555775	C₂²	1	1	yes	characteristic
19	C₂×#14555773	C₂²	1	1	yes	characteristic
20	C₂×#14555772	C₂²	1	1	yes	characteristic
21	C₂×#14555770	C₂²	1	1	yes	characteristic
22	C₂²×C₁₃₉⋊C₈	C₂²	1	1	yes	characteristic
23	#17984840	C₂²	1	1	yes	characteristic
24	#17984838	C₂²	1	1	yes	characteristic
25	#17984831	C₂²	1	1	yes	characteristic
26	#17984829	C₂²	1	1	yes	characteristic
27	#17984814	—	2	1	no	—
28	#17984814	—	2	1	no	—
29	Q₈×Dic₁₃₉	C₂²	1	1	yes	characteristic
30	Q₈×Dic₁₃₉	C₂²	1	1	yes	characteristic
31	D₄×Dic₁₃₉	—	2	1	no	—
32	D₄×Dic₁₃₉	—	2	1	no	—
33	D₄×Dic₁₃₉	C₂²	1	1	yes	characteristic
34	D₄×Dic₁₃₉	C₂²	1	1	yes	characteristic
35	C₄×C₂²⋊D₁₃₉	—	2	1	no	—
36	C₄×C₂²⋊D₁₃₉	—	2	1	no	—
37	#17984801	—	2	1	no	—
38	#17984801	C₂²	1	1	yes	characteristic
39	C₂×C₄×Dic₁₃₉	—	2	1	no	—
40	C₂×C₄×Dic₁₃₉	C₂²	1	1	yes	characteristic
41	Dic₁₃₉⋊C₈	C₂²	1	1	yes	characteristic
42	Dic₁₃₉⋊C₈	C₂²	1	1	yes	characteristic
43	Dic₁₃₉⋊C₈	C₂²	1	1	yes	characteristic
44	Dic₁₃₉⋊C₈	C₂²	1	1	yes	characteristic
45	#17984767	C₂²	1	1	yes	characteristic
46	#17984767	C₂²	1	1	yes	characteristic
47	#17984766	C₂²	1	1	yes	characteristic
48	#17984766	C₂²	1	1	yes	characteristic
49	#17984764	C₂²	1	1	yes	characteristic
50	#17984764	C₂²	1	1	yes	characteristic
51	#17984763	C₂²	1	1	yes	characteristic
52	#17984763	C₂²	1	1	yes	characteristic
53	C₂×#41×C₁₃₉	C₂²	1	1	yes	characteristic
54	C₂×#41×C₁₃₉	C₂²	1	1	yes	characteristic
55	#135×C₁₃₉	—	2	4	no	—
56	C₂×Q₁₆×C₁₃₉	C₂²	1	1	yes	characteristic
57	C₂×SD₁₆×C₁₃₉	C₂²	1	1	yes	characteristic
58	C₂×SD₁₆×C₁₃₉	C₂²	1	1	yes	characteristic
59	C₂×D₈×C₁₃₉	C₂²	1	1	yes	characteristic
60	C₂²×C₈×C₁₃₉	C₂²	1	1	yes	characteristic
61	#14555785	—	2	2	no	—
62	#14555785	—	2	2	no	—
63	C₂×Dic₂₇₈	C₂³	1	1	yes	characteristic
64	C₂×D₅₅₆	C₂³	1	1	yes	characteristic
65	C₂×C₂²⋊D₁₃₉	—	2	1	no	—
66	C₂×C₂²⋊D₁₃₉	—	2	1	no	—
67	C₂×C₂²⋊D₁₃₉	—	2	1	no	—
68	C₂²×Dic₁₃₉	—	2	1	no	—
69	C₂²×Dic₁₃₉	—	2	1	no	—
70	C₂²×Dic₁₃₉	D₄	1	1	yes	characteristic
71	C₂²×Dic₁₃₉	D₄	1	1	yes	characteristic
72	C₂×C₄×D₁₃₉	—	2	1	no	—
73	#14555775	—	2	2	no	—
74	#14555773	—	2	2	no	—
75	#14555772	—	2	2	no	—
76	#14555770	—	2	2	no	—
77	C₂×C₁₃₉⋊C₈	—	2	2	no	—
78	C₂×C₁₃₉⋊C₈	C₂³	1	1	yes	characteristic
79	C₂×C₁₃₉⋊C₈	C₂³	1	1	yes	characteristic
80	C₄⋊Dic₁₃₉	—	2	1	no	—
81	C₄⋊Dic₁₃₉	—	2	1	no	—
82	C₄⋊Dic₁₃₉	C₂³	1	1	yes	characteristic
83	C₄⋊Dic₁₃₉	C₂³	1	1	yes	characteristic
84	Dic₁₃₉⋊C₄	—	2	1	no	—
85	Dic₁₃₉⋊C₄	—	2	1	no	—
86	C₂²⋊Dic₁₃₉	—	2	1	no	—
87	C₂²⋊Dic₁₃₉	—	2	1	no	—
88	C₂²⋊Dic₁₃₉	—	2	1	no	—
89	C₂²⋊Dic₁₃₉	—	2	1	no	—
90	C₂²⋊Dic₁₃₉	—	2	1	no	—
91	(C₂×D₁₃₉)⋊C₄	—	2	1	no	—
92	(C₂×D₁₃₉)⋊C₄	—	2	1	no	—
93	C₄×Dic₁₃₉	—	2	1	no	—
94	C₄×Dic₁₃₉	—	2	1	no	—
95	C₄×Dic₁₃₉	—	2	1	no	—
96	C₄×Dic₁₃₉	D₄	1	1	yes	characteristic
97	C₄×Dic₁₃₉	D₄	1	1	yes	characteristic
98	C₄×Dic₁₃₉	C₂³	1	1	yes	characteristic
99	C₄×Dic₁₃₉	C₂³	1	1	yes	characteristic
100	#41×C₁₃₉	—	2	2	no	—
101	#41×C₁₃₉	—	2	2	no	—
102	#41×C₁₃₉	—	2	2	no	—
103	#41×C₁₃₉	D₄	1	4	yes	complemented
104	C₂×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
105	C₂×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
106	C₂×D₄×C₁₃₉	—	2	1	no	—
107	C₂×D₄×C₁₃₉	—	2	1	no	—
108	C₂×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
109	C₂×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
110	C₂²×C₄×C₁₃₉	—	2	1	no	—
111	C₂²×C₄×C₁₃₉	—	2	1	no	—
112	C₂²×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
113	Q₁₆×C₁₃₉	—	2	2	no	—
114	SD₁₆×C₁₃₉	—	2	2	no	—
115	SD₁₆×C₁₃₉	—	2	2	no	—
116	D₈×C₁₃₉	—	2	2	no	—
117	C₂×C₈×C₁₃₉	—	2	2	no	—
118	C₂×C₈×C₁₃₉	C₂³	1	1	yes	characteristic
119	C₂×C₈×C₁₃₉	C₂³	1	1	yes	characteristic
120	C₂²×D₁₃₉	—	2	1	no	—
121	Dic₂₇₈	—	2	1	no	—
122	Dic₂₇₈	—	2	1	no	—
123	D₅₅₆	—	2	1	no	—
124	D₅₅₆	—	2	1	no	—
125	C₂²⋊D₁₃₉	—	4	2	no	—
126	C₂²⋊D₁₃₉	—	4	2	no	—
127	C₂²⋊D₁₃₉	—	4	2	no	—
128	C₂×Dic₁₃₉	—	2	2	no	—
129	C₂×Dic₁₃₉	—	2	1	no	—
130	C₂×Dic₁₃₉	—	2	1	no	—
131	C₂×Dic₁₃₉	—	2	1	no	—
132	C₂×Dic₁₃₉	—	4	1	no	—
133	C₂×Dic₁₃₉	—	4	2	no	—
134	C₂×Dic₁₃₉	—	4	2	no	—
135	C₂×Dic₁₃₉	C₂×D₄	1	1	yes	characteristic
136	C₂×Dic₁₃₉	C₂×D₄	1	1	yes	characteristic
137	C₂×Dic₁₃₉	C₂×D₄	1	1	yes	characteristic
138	C₂×Dic₁₃₉	C₂×D₄	1	1	yes	characteristic
139	C₄×D₁₃₉	—	4	2	no	—
140	C₁₃₉⋊C₈	—	2	1	no	—
141	C₁₃₉⋊C₈	—	2	1	no	—
142	C₂³×C₁₃₉	—	2	1	no	—
143	C₂³×C₁₃₉	—	2	1	no	—
144	C₂³×C₁₃₉	C₂×D₄	1	1	yes	characteristic
145	Q₈×C₁₃₉	—	2	1	no	—
146	Q₈×C₁₃₉	—	2	1	no	—
147	Q₈×C₁₃₉	—	2	1	no	—
148	Q₈×C₁₃₉	C₂×D₄	1	2	yes	—
149	D₄×C₁₃₉	—	2	4	no	—
150	D₄×C₁₃₉	—	2	1	no	—
151	D₄×C₁₃₉	—	2	1	no	—
152	D₄×C₁₃₉	—	2	1	no	—
153	D₄×C₁₃₉	—	4	2	no	—
154	D₄×C₁₃₉	C₂×D₄	1	2	yes	—
155	C₂×C₄×C₁₃₉	—	2	1	no	—
156	C₂×C₄×C₁₃₉	—	2	4	no	—
157	C₂×C₄×C₁₃₉	—	2	1	no	—
158	C₂×C₄×C₁₃₉	—	4	2	no	—
159	C₂×C₄×C₁₃₉	C₂×D₄	1	1	yes	characteristic
160	C₂×C₄×C₁₃₉	C₂×D₄	1	2	yes	—
161	C₂×C₄×C₁₃₉	#41	1	2	yes	—
162	C₂×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
163	C₈×C₁₃₉	—	2	1	no	—
164	C₈×C₁₃₉	—	2	1	no	—
165	C₂²×C₁₃₉	—	2	1	no	—
166	C₂²×C₁₃₉	—	2	1	no	—
167	C₂²×C₁₃₉	—	2	2	no	—
168	C₂²×C₁₃₉	—	4	1	no	—
169	C₂²×C₁₃₉	—	4	1	no	—
170	C₂²×C₁₃₉	—	4	1	no	—
171	C₂²×C₁₃₉	—	4	1	no	—
172	C₂²×C₁₃₉	—	4	1	no	—
173	C₂²×C₁₃₉	#121	1	2	yes	—
174	C₂²×C₁₃₉	C₂²×D₄	1	1	yes	characteristic
175	C₂×D₁₃₉	—	4	1	no	—
176	C₂×D₁₃₉	—	4	1	no	—
177	C₂×D₁₃₉	—	4	1	no	—
178	C₄×C₁₃₉	—	2	2	no	—
179	C₄×C₁₃₉	—	4	1	no	—
180	C₄×C₁₃₉	#121	1	2	yes	—
181	C₄×C₁₃₉	C₂²×D₄	1	1	yes	characteristic
182	C₄×C₁₃₉	C₂×#41	1	1	yes	characteristic
183	Dic₁₃₉	—	2	1	no	—
184	Dic₁₃₉	—	2	1	no	—
185	Dic₁₃₉	—	2	1	no	—
186	Dic₁₃₉	—	4	1	no	—
187	Dic₁₃₉	—	4	1	no	—
188	Dic₁₃₉	—	4	1	no	—
189	Dic₁₃₉	#135	1	2	yes	complemented
190	C₂×C₁₃₉	—	2	2	no	—
191	C₂×C₁₃₉	—	4	2	no	—
192	C₂×C₁₃₉	—	8	1	no	—
193	C₂×C₁₃₉	C₂×#121	1	1	yes	characteristic
194	C₂×C₁₃₉	C₂×#135	1	1	yes	characteristic
195	C₂×C₁₃₉	#575	1	1	yes	characteristic
196	D₁₃₉	—	8	1	no	—
197	C₁₃₉	#3035	1	1	yes	characteristic, complemented, Sylow
198	#3035	—	139	1	no	maximal, Sylow
199	C₂×#135	—	139	1	no	—
200	C₂×#135	D₁₃₉	1	1	yes	characteristic, complemented
201	#532	—	139	1	no	—
202	C₄×#41	—	139	1	no	—
203	#464	—	139	1	no	—
204	#464	—	139	1	no	—
205	#463	—	139	1	no	—
206	#463	—	139	1	no	—
207	#462	—	139	1	no	—
208	#461	—	139	1	no	—
209	#460	—	139	1	no	—
210	#459	—	139	1	no	—
211	C₂×C₄⋊C₈	—	139	1	no	—
212	#416	—	139	1	no	—
213	#416	—	139	1	no	—
214	C₂×#41	—	139	1	no	—
215	C₂×#41	C₂×D₁₃₉	1	1	yes	characteristic
216	C₂×#41	C₂×D₁₃₉	1	1	yes	characteristic
217	#135	—	2	4	no	—
218	#135	—	278	4	no	—
219	C₂×Q₁₆	—	139	1	no	—
220	C₂×Q₁₆	C₂×D₁₃₉	1	1	yes	characteristic
221	C₂×SD₁₆	—	139	1	no	—
222	C₂×SD₁₆	—	139	1	no	—
223	C₂×SD₁₆	C₂×D₁₃₉	1	1	yes	characteristic
224	C₂×SD₁₆	C₂×D₁₃₉	1	1	yes	characteristic
225	C₂×D₈	—	139	1	no	—
226	C₂×D₈	C₂×D₁₃₉	1	1	yes	characteristic
227	C₂²×C₈	—	139	1	no	—
228	C₂²×C₈	C₂×D₁₃₉	1	1	yes	characteristic
229	C₄⋊Q₈	—	139	1	no	—
230	#127	—	139	1	no	—
231	#124	—	139	1	no	—
232	#124	—	139	1	no	—
233	#121	—	278	1	no	—
234	#121	—	278	1	no	—
235	C₄×Q₈	—	139	1	no	—
236	C₄×Q₈	—	139	1	no	—
237	C₄×D₄	—	278	1	no	—
238	C₄×D₄	—	278	1	no	—
239	C₄×D₄	—	278	1	no	—
240	C₄×D₄	—	278	1	no	—
241	C₄×D₄	—	139	1	no	—
242	C₄×D₄	—	139	1	no	—
243	#117	—	278	1	no	—
244	#117	—	139	1	no	—
245	C₂×C₄²	—	278	1	no	—
246	C₂×C₄²	—	139	1	no	—
247	C₄⋊C₈	—	139	1	no	—
248	C₄⋊C₈	—	139	1	no	—
249	C₄⋊C₈	—	139	1	no	—
250	C₄⋊C₈	—	139	1	no	—
251	#103	—	139	1	no	—
252	#103	—	139	1	no	—
253	#103	—	139	1	no	—
254	#103	—	139	1	no	—
255	#102	—	139	1	no	—
256	#102	—	139	1	no	—
257	#102	—	139	1	no	—
258	#102	—	139	1	no	—
259	#41	—	2	2	no	—
260	#41	—	2	2	no	—
261	#41	—	2	2	no	—
262	#41	—	278	2	no	—
263	#41	—	278	2	no	—
264	#41	C₂²⋊D₁₃₉	1	4	yes	complemented
265	C₂×Q₈	—	139	1	no	—
266	C₂×Q₈	C₂²×D₁₃₉	1	1	yes	characteristic
267	C₂×Q₈	C₂²×D₁₃₉	1	1	yes	characteristic
268	C₂×D₄	—	2	1	no	—
269	C₂×D₄	—	2	1	no	—
270	C₂×D₄	—	278	1	no	—
271	C₂×D₄	—	278	1	no	—
272	C₂×D₄	—	278	1	no	—
273	C₂×D₄	—	139	1	no	—
274	C₂×D₄	C₂²×D₁₃₉	1	1	yes	characteristic
275	C₂×D₄	C₂²×D₁₃₉	1	1	yes	characteristic
276	C₂²×C₄	—	2	1	no	—
277	C₂²×C₄	—	2	1	no	—
278	C₂²×C₄	—	278	1	no	—
279	C₂²×C₄	—	278	1	no	—
280	C₂²×C₄	—	278	1	no	—
281	C₂²×C₄	—	139	1	no	—
282	C₂²×C₄	—	139	1	no	—
283	C₂²×C₄	C₂²×D₁₃₉	1	1	yes	characteristic
284	Q₁₆	—	2	2	no	—
285	Q₁₆	—	278	2	no	—
286	SD₁₆	—	2	2	no	—
287	SD₁₆	—	2	2	no	—
288	SD₁₆	—	278	2	no	—
289	SD₁₆	—	278	2	no	—
290	D₈	—	2	2	no	—
291	D₈	—	278	2	no	—
292	C₂×C₈	—	2	2	no	—
293	C₂×C₈	—	278	2	no	—
294	C₂×C₈	—	139	1	no	—
295	C₂×C₈	—	139	1	no	—
296	C₂×C₈	C₂²×D₁₃₉	1	1	yes	characteristic
297	C₂×C₈	C₂²×D₁₃₉	1	1	yes	characteristic
298	C₄⋊C₄	—	278	1	no	—
299	C₄⋊C₄	—	278	1	no	—
300	C₄⋊C₄	—	278	1	no	—
301	C₄⋊C₄	—	278	1	no	—
302	C₄⋊C₄	—	139	1	no	—
303	C₄⋊C₄	—	139	1	no	—
304	C₂²⋊C₄	—	278	1	no	—
305	C₂²⋊C₄	—	278	1	no	—
306	C₂²⋊C₄	—	278	1	no	—
307	C₂²⋊C₄	—	278	1	no	—
308	C₂²⋊C₄	—	278	1	no	—
309	C₂²⋊C₄	—	278	1	no	—
310	C₂²⋊C₄	—	278	1	no	—
311	C₄²	—	278	1	no	—
312	C₄²	—	278	1	no	—
313	C₄²	—	278	1	no	—
314	C₄²	—	139	1	no	—
315	C₄²	—	139	1	no	—
316	C₄²	—	139	1	no	—
317	C₄²	—	139	1	no	—
318	C₂³	—	2	1	no	—
319	C₂³	—	2	1	no	—
320	C₂³	—	278	1	no	—
321	C₂³	D₄×D₁₃₉	1	1	yes	characteristic
322	Q₈	—	2	1	no	—
323	Q₈	—	2	1	no	—
324	Q₈	—	2	1	no	—
325	Q₈	—	278	1	no	—
326	Q₈	—	278	1	no	—
327	Q₈	C₂×C₂²⋊D₁₃₉	1	2	yes	—
328	D₄	—	2	4	no	—
329	D₄	—	2	1	no	—
330	D₄	—	2	1	no	—
331	D₄	—	2	1	no	—
332	D₄	—	4	2	no	—
333	D₄	—	278	1	no	—
334	D₄	—	278	1	no	—
335	D₄	—	556	2	no	—
336	D₄	—	556	2	no	—
337	D₄	—	556	2	no	—
338	D₄	C₂×C₂²⋊D₁₃₉	1	2	yes	—
339	C₂×C₄	—	2	1	no	—
340	C₂×C₄	—	2	4	no	—
341	C₂×C₄	—	2	1	no	—
342	C₂×C₄	—	4	2	no	—
343	C₂×C₄	—	278	2	no	—
344	C₂×C₄	—	278	1	no	—
345	C₂×C₄	—	278	1	no	—
346	C₂×C₄	—	278	1	no	—
347	C₂×C₄	—	556	1	no	—
348	C₂×C₄	—	556	2	no	—
349	C₂×C₄	—	556	2	no	—
350	C₂×C₄	—	556	2	no	—
351	C₂×C₄	—	139	1	no	—
352	C₂×C₄	—	139	1	no	—
353	C₂×C₄	—	139	1	no	—
354	C₂×C₄	—	139	1	no	—
355	C₂×C₄	D₄×D₁₃₉	1	1	yes	characteristic
356	C₂×C₄	C₂×C₂²⋊D₁₃₉	1	2	yes	—
357	C₂×C₄	#14555784	1	2	yes	—
358	C₂×C₄	C₂³×D₁₃₉	1	1	yes	characteristic
359	C₈	—	2	1	no	—
360	C₈	—	2	1	no	—
361	C₈	—	278	1	no	—
362	C₈	—	278	1	no	—
363	C₂²	—	2	1	no	—
364	C₂²	—	2	1	no	—
365	C₂²	—	2	2	no	—
366	C₂²	—	4	1	no	—
367	C₂²	—	4	1	no	—
368	C₂²	—	4	1	no	—
369	C₂²	—	4	1	no	—
370	C₂²	—	4	1	no	—
371	C₂²	—	556	1	no	—
372	C₂²	—	556	1	no	—
373	C₂²	—	556	1	no	—
374	C₂²	#17984814	1	2	yes	—
375	C₂²	C₂×D₄×D₁₃₉	1	1	yes	characteristic
376	C₄	—	2	2	no	—
377	C₄	—	4	1	no	—
378	C₄	—	278	1	no	—
379	C₄	—	278	1	no	—
380	C₄	—	278	1	no	—
381	C₄	—	556	1	no	—
382	C₄	—	556	1	no	—
383	C₄	—	556	1	no	—
384	C₄	—	139	2	no	—
385	C₄	#17984814	1	2	yes	—
386	C₄	C₂²×C₂²⋊D₁₃₉	1	1	yes	characteristic
387	C₄	C₂×#14555784	1	1	yes	characteristic
388	C₂	—	2	2	no	—
389	C₂	—	4	2	no	—
390	C₂	—	8	1	no	—
391	C₂	—	1112	1	no	—
392	C₂	C₂×#17984814	1	1	yes	characteristic
393	C₂	#135×D₁₃₉	1	1	yes	characteristic
394	C₂	#22581750	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	D₄×D₁₃₉
commutator, cosocle	C₂×C₄×C₁₃₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₃₉
Fitting	C₂×#135×C₁₃₉	C₂
socle	C₂²×C₁₃₉	C₂²×D₄
hypercenter	C₂×#135	D₁₃₉
hypocenter	C₁₃₉	#3035
LCS	G ▷ C₂×C₄×C₁₃₉ ▷ C₂×C₁₃₉ ▷ C₁₃₉
UCS	C₁ ◁ C₂×C₄ ◁ C₂²×C₄ ◁ C₂×#135

Complements

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

N	H ≅ G/N	type
1. C₂×#17984862	C₂	semidirect
2. #22581499	C₂	semidirect
3. #41×Dic₁₃₉	C₂	semidirect
4. #22581177	C₂	semidirect
5. #22581173	C₂	semidirect
6. #22581170	C₂	semidirect
7. #22581166	C₂	semidirect
8. #22581161	C₂	semidirect
9. #22581156	C₂	semidirect
10. #22581151	C₂	semidirect
11. #22581146	C₂	semidirect
12. C₂×Dic₁₃₉⋊C₈	C₂	semidirect
13. #22580950	C₂	semidirect
14. #22580949	C₂	semidirect
15. C₂×#135×C₁₃₉	C₂	semidirect
103. #41×C₁₃₉	D₄	semidirect
189. Dic₁₃₉	#135	semidirect
197. C₁₃₉	#3035	semidirect
200. C₂×#135	D₁₃₉	semidirect
264. #41	C₂²⋊D₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#17984862	2
#22581499	2
#41×Dic₁₃₉	2
#22581177	2
#22581173	2
#22581170	2
#22581166	2
#22581161	2
#22581156	2
#22581151	2
#22581146	2
C₂×Dic₁₃₉⋊C₈	2
#22580950	2
#22580949	2
C₂×#135×C₁₃₉	2
#3035	139