Subgroups — C₁₃₉×#26582 #48021178

Order 35584.

726 conjugacy classes of subgroups.

The subgroup lattice has 386 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3099×C₁₃₉	C₂	1	2	yes	maximal
2	#2947×C₁₃₉	C₂	1	2	yes	maximal, complemented
3	#2096×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2052×C₁₃₉	C₂	1	2	yes	maximal, complemented
5	#2007×C₁₃₉	C₂	1	1	yes	maximal, characteristic
6	#1951×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#1929×C₁₃₉	C₂	1	2	yes	maximal, complemented
8	#1859×C₁₃₉	C₂	1	2	yes	maximal, complemented
9	#1857×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#137×C₁₃₉	C₂²	1	2	yes	—
11	#537×C₁₃₉	C₂²	1	1	yes	characteristic
12	#520×C₁₃₉	C₂²	1	2	yes	—
13	#519×C₁₃₉	C₂²	1	1	yes	characteristic
14	#485×C₁₃₉	—	2	2	no	—
15	#483×C₁₃₉	—	2	2	no	—
16	#482×C₁₃₉	—	2	2	no	—
17	#481×C₁₃₉	—	2	2	no	—
18	#441×C₁₃₉	—	2	2	no	—
19	#440×C₁₃₉	—	2	2	no	—
20	C₄×Q₁₆×C₁₃₉	—	2	2	no	—
21	C₄×SD₁₆×C₁₃₉	—	2	2	no	—
22	C₂×#108×C₁₃₉	C₂²	1	2	yes	—
23	#428×C₁₃₉	C₂²	1	2	yes	—
24	#428×C₁₃₉	C₂²	1	2	yes	—
25	C₂×#106×C₁₃₉	C₂²	1	2	yes	—
26	C₂×#104×C₁₃₉	C₂²	1	2	yes	—
27	#417×C₁₃₉	C₂²	1	2	yes	—
28	#416×C₁₃₉	C₂²	1	2	yes	—
29	C₂×#103×C₁₃₉	C₂²	1	2	yes	—
30	C₂×#101×C₁₃₉	C₂²	1	1	yes	characteristic
31	#408×C₁₃₉	C₂²	1	2	yes	—
32	#405×C₁₃₉	C₂²	1	2	yes	—
33	#391×C₁₃₉	C₂²	1	1	yes	characteristic
34	#384×C₁₃₉	C₂²	1	1	yes	characteristic
35	#343×C₁₃₉	C₂²	1	1	yes	characteristic
36	#343×C₁₃₉	C₂²	1	2	yes	—
37	#339×C₁₃₉	C₂²	1	2	yes	—
38	#336×C₁₃₉	C₂²	1	1	yes	characteristic
39	C₂×#41×C₁₃₉	C₂³	1	2	yes	—
40	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
41	#137×C₁₃₉	—	2	4	no	—
42	#137×C₁₃₉	—	2	4	no	—
43	C₂×Q₁₆×C₁₃₉	—	2	2	no	—
44	C₂×SD₁₆×C₁₃₉	—	2	2	no	—
45	C₂×M₁₆×C₁₃₉	C₂³	1	2	yes	—
46	C₂×M₁₆×C₁₃₉	C₂³	1	2	yes	—
47	C₂²×C₈×C₁₃₉	C₂³	1	2	yes	—
48	C₂²⋊Q₈×C₁₃₉	—	2	2	no	—
49	#121×C₁₃₉	—	2	2	no	—
50	#121×C₁₃₉	—	4	1	no	—
51	C₄×Q₈×C₁₃₉	—	2	2	no	—
52	C₄×Q₈×C₁₃₉	—	2	2	no	—
53	C₄×Q₈×C₁₃₉	—	2	2	no	—
54	C₄×D₄×C₁₃₉	—	2	2	no	—
55	C₄×D₄×C₁₃₉	—	4	2	no	—
56	#117×C₁₃₉	—	2	2	no	—
57	#117×C₁₃₉	—	4	1	no	—
58	#117×C₁₃₉	C₂³	1	2	yes	—
59	C₂×C₄⋊C₄×C₁₃₉	—	2	2	no	—
60	C₂×C₄⋊C₄×C₁₃₉	—	4	1	no	—
61	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
62	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
63	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
64	#108×C₁₃₉	—	2	4	no	—
65	#107×C₁₃₉	—	2	2	no	—
66	#107×C₁₃₉	—	2	2	no	—
67	#106×C₁₃₉	—	2	2	no	—
68	#106×C₁₃₉	—	2	2	no	—
69	#106×C₁₃₉	—	2	2	no	—
70	#106×C₁₃₉	—	2	2	no	—
71	#104×C₁₃₉	—	2	4	no	—
72	#103×C₁₃₉	—	2	2	no	—
73	#103×C₁₃₉	—	2	2	no	—
74	#103×C₁₃₉	—	2	2	no	—
75	#103×C₁₃₉	D₄	1	2	yes	—
76	#103×C₁₃₉	D₄	1	2	yes	—
77	#102×C₁₃₉	—	2	2	no	—
78	#102×C₁₃₉	D₄	1	2	yes	—
79	#102×C₁₃₉	D₄	1	2	yes	—
80	#101×C₁₃₉	—	2	2	no	—
81	C₂²⋊C₈×C₁₃₉	—	2	2	no	—
82	C₂²⋊C₈×C₁₃₉	—	2	2	no	—
83	#97×C₁₃₉	—	2	2	no	—
84	C₄×C₈×C₁₃₉	—	2	2	no	—
85	#95×C₁₃₉	—	4	1	no	—
86	#41×C₁₃₉	—	2	2	no	—
87	#41×C₁₃₉	—	2	2	no	—
88	#41×C₁₃₉	—	2	2	no	—
89	#41×C₁₃₉	—	2	2	no	—
90	C₂×Q₈×C₁₃₉	—	2	1	no	—
91	C₂×Q₈×C₁₃₉	—	2	2	no	—
92	C₂×Q₈×C₁₃₉	—	2	2	no	—
93	C₂×Q₈×C₁₃₉	C₂×D₄	1	2	yes	—
94	C₂×Q₈×C₁₃₉	#41	1	2	yes	—
95	C₂×D₄×C₁₃₉	—	2	2	no	—
96	C₂×D₄×C₁₃₉	—	4	1	no	—
97	C₂×D₄×C₁₃₉	C₂×D₄	1	2	yes	—
98	C₂²×C₄×C₁₃₉	—	2	1	no	—
99	C₂²×C₄×C₁₃₉	—	2	1	no	—
100	C₂²×C₄×C₁₃₉	—	2	2	no	—
101	C₂²×C₄×C₁₃₉	—	2	1	no	—
102	C₂²×C₄×C₁₃₉	—	2	2	no	—
103	C₂²×C₄×C₁₃₉	—	4	2	no	—
104	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
105	Q₁₆×C₁₃₉	—	2	8	no	—
106	SD₁₆×C₁₃₉	—	2	8	no	—
107	M₁₆×C₁₃₉	—	2	2	no	—
108	M₁₆×C₁₃₉	—	2	2	no	—
109	M₁₆×C₁₃₉	—	2	2	no	—
110	M₁₆×C₁₃₉	#41	1	4	yes	—
111	C₂×C₈×C₁₃₉	—	2	2	no	—
112	C₂×C₈×C₁₃₉	—	2	2	no	—
113	C₂×C₈×C₁₃₉	—	2	2	no	—
114	C₂×C₈×C₁₃₉	—	2	2	no	—
115	C₂×C₈×C₁₃₉	C₂×D₄	1	2	yes	—
116	C₂×C₈×C₁₃₉	C₂×D₄	1	2	yes	—
117	C₄⋊C₄×C₁₃₉	—	2	2	no	—
118	C₄⋊C₄×C₁₃₉	—	2	2	no	—
119	C₄⋊C₄×C₁₃₉	—	2	2	no	—
120	C₄⋊C₄×C₁₃₉	—	4	2	no	—
121	C₄⋊C₄×C₁₃₉	—	4	1	no	—
122	C₄⋊C₄×C₁₃₉	—	4	1	no	—
123	C₄⋊C₄×C₁₃₉	—	4	1	no	—
124	C₄⋊C₄×C₁₃₉	—	8	2	no	—
125	C₄⋊C₄×C₁₃₉	C₂×D₄	1	2	yes	—
126	C₄⋊C₄×C₁₃₉	C₂×D₄	1	2	yes	—
127	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
128	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
129	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
130	C₄²×C₁₃₉	—	2	2	no	—
131	C₄²×C₁₃₉	—	2	2	no	—
132	C₄²×C₁₃₉	—	4	2	no	—
133	C₄²×C₁₃₉	—	4	2	no	—
134	C₂³×C₁₃₉	—	2	2	no	—
135	C₂³×C₁₃₉	H(5,𝔽₂)	1	1	yes	characteristic
136	Q₈×C₁₃₉	—	2	4	no	—
137	Q₈×C₁₃₉	—	2	2	no	—
138	Q₈×C₁₃₉	—	2	2	no	—
139	Q₈×C₁₃₉	—	4	2	no	—
140	D₄×C₁₃₉	—	2	2	no	—
141	D₄×C₁₃₉	—	2	2	no	—
142	D₄×C₁₃₉	—	4	2	no	—
143	D₄×C₁₃₉	—	4	2	no	—
144	D₄×C₁₃₉	—	16	1	no	—
145	C₂×C₄×C₁₃₉	—	2	2	no	—
146	C₂×C₄×C₁₃₉	—	2	2	no	—
147	C₂×C₄×C₁₃₉	—	2	2	no	—
148	C₂×C₄×C₁₃₉	—	2	2	no	—
149	C₂×C₄×C₁₃₉	—	2	2	no	—
150	C₂×C₄×C₁₃₉	—	4	1	no	—
151	C₂×C₄×C₁₃₉	—	4	1	no	—
152	C₂×C₄×C₁₃₉	—	4	1	no	—
153	C₂×C₄×C₁₃₉	—	4	1	no	—
154	C₂×C₄×C₁₃₉	—	4	2	no	—
155	C₂×C₄×C₁₃₉	—	4	2	no	—
156	C₂×C₄×C₁₃₉	—	4	2	no	—
157	C₂×C₄×C₁₃₉	—	4	1	no	—
158	C₂×C₄×C₁₃₉	—	8	2	no	—
159	C₂×C₄×C₁₃₉	—	8	1	no	—
160	C₂×C₄×C₁₃₉	—	16	2	no	—
161	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
162	C₂×C₄×C₁₃₉	C₂×#41	1	1	yes	characteristic
163	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
164	C₂×C₄×C₁₃₉	2₋¹⁺⁴	1	1	yes	characteristic
165	C₈×C₁₃₉	—	2	4	no	—
166	C₈×C₁₃₉	—	2	2	no	—
167	C₈×C₁₃₉	—	2	2	no	—
168	C₈×C₁₃₉	—	4	2	no	—
169	C₂²×C₁₃₉	—	2	1	no	—
170	C₂²×C₁₃₉	—	2	1	no	—
171	C₂²×C₁₃₉	—	4	2	no	—
172	C₂²×C₁₃₉	—	4	2	no	—
173	C₂²×C₁₃₉	—	4	2	no	—
174	C₂²×C₁₃₉	#539	1	1	yes	characteristic
175	C₂²×C₁₃₉	D₄²	1	1	yes	characteristic
176	C₂²×C₁₃₉	#559	1	1	yes	characteristic
177	C₄×C₁₃₉	—	4	2	no	—
178	C₄×C₁₃₉	—	4	2	no	—
179	C₄×C₁₃₉	—	4	2	no	—
180	C₄×C₁₃₉	—	4	2	no	—
181	C₄×C₁₃₉	—	4	2	no	—
182	C₄×C₁₃₉	—	8	1	no	—
183	C₄×C₁₃₉	—	8	2	no	—
184	C₄×C₁₃₉	#525	1	2	yes	—
185	C₄×C₁₃₉	#547	1	2	yes	—
186	C₂×C₁₃₉	—	2	1	no	—
187	C₂×C₁₃₉	—	2	1	no	—
188	C₂×C₁₃₉	—	8	2	no	—
189	C₂×C₁₃₉	#2455	1	1	yes	characteristic
190	C₂×C₁₃₉	#3289	1	1	yes	characteristic
191	C₂×C₁₃₉	#3291	1	1	yes	characteristic
192	#26582	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
193	C₁₃₉	#26582	1	1	yes	characteristic, direct product factor, Sylow
194	#3099	C₂×C₁₃₉	1	2	yes	—
195	#2947	C₂×C₁₃₉	1	2	yes	complemented
196	#2096	C₂×C₁₃₉	1	1	yes	characteristic, complemented
197	#2052	C₂×C₁₃₉	1	2	yes	complemented
198	#2007	C₂×C₁₃₉	1	1	yes	characteristic
199	#1951	C₂×C₁₃₉	1	2	yes	complemented
200	#1929	C₂×C₁₃₉	1	2	yes	complemented
201	#1859	C₂×C₁₃₉	1	2	yes	complemented
202	#1857	C₂×C₁₃₉	1	1	yes	characteristic, complemented
203	C₂×#137	C₂²×C₁₃₉	1	2	yes	—
204	#537	C₂²×C₁₃₉	1	1	yes	characteristic
205	#520	C₂²×C₁₃₉	1	2	yes	—
206	#519	C₂²×C₁₃₉	1	1	yes	characteristic
207	#485	—	2	2	no	—
208	#483	—	2	2	no	—
209	#482	—	2	2	no	—
210	#481	—	2	2	no	—
211	#441	—	2	2	no	—
212	#440	—	2	2	no	—
213	C₄×Q₁₆	—	2	2	no	—
214	C₄×SD₁₆	—	2	2	no	—
215	C₂×#108	C₂²×C₁₃₉	1	2	yes	—
216	#428	C₂²×C₁₃₉	1	2	yes	—
217	#428	C₂²×C₁₃₉	1	2	yes	—
218	C₂×#106	C₂²×C₁₃₉	1	2	yes	—
219	C₂×#104	C₂²×C₁₃₉	1	2	yes	—
220	#417	C₂²×C₁₃₉	1	2	yes	—
221	#416	C₂²×C₁₃₉	1	2	yes	—
222	C₂×#103	C₂²×C₁₃₉	1	2	yes	—
223	C₂×#101	C₂²×C₁₃₉	1	1	yes	characteristic
224	#408	C₂²×C₁₃₉	1	2	yes	—
225	#405	C₂²×C₁₃₉	1	2	yes	—
226	#391	C₂²×C₁₃₉	1	1	yes	characteristic
227	#384	C₂²×C₁₃₉	1	1	yes	characteristic
228	#343	C₂²×C₁₃₉	1	2	yes	—
229	#343	C₂²×C₁₃₉	1	1	yes	characteristic
230	#339	C₂²×C₁₃₉	1	2	yes	—
231	#336	C₂²×C₁₃₉	1	1	yes	characteristic
232	C₂×#41	C₂³×C₁₃₉	1	2	yes	—
233	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
234	#137	—	2	4	no	—
235	#137	—	2	4	no	—
236	C₂×Q₁₆	—	2	2	no	—
237	C₂×SD₁₆	—	2	2	no	—
238	C₂×M₁₆	C₂³×C₁₃₉	1	2	yes	—
239	C₂×M₁₆	C₂³×C₁₃₉	1	2	yes	—
240	C₂²×C₈	C₂³×C₁₃₉	1	2	yes	—
241	C₂²⋊Q₈	—	2	2	no	—
242	#121	—	2	2	no	—
243	#121	—	4	1	no	—
244	C₄×Q₈	—	2	2	no	—
245	C₄×Q₈	—	2	2	no	—
246	C₄×Q₈	—	2	2	no	—
247	C₄×D₄	—	2	2	no	—
248	C₄×D₄	—	4	2	no	—
249	#117	—	2	2	no	—
250	#117	—	4	1	no	—
251	#117	C₂³×C₁₃₉	1	2	yes	—
252	C₂×C₄⋊C₄	—	2	2	no	—
253	C₂×C₄⋊C₄	—	4	1	no	—
254	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
255	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
256	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
257	#108	—	2	4	no	—
258	#107	—	2	2	no	—
259	#107	—	2	2	no	—
260	#106	—	2	2	no	—
261	#106	—	2	2	no	—
262	#106	—	2	2	no	—
263	#106	—	2	2	no	—
264	#104	—	2	4	no	—
265	#103	—	2	2	no	—
266	#103	—	2	2	no	—
267	#103	—	2	2	no	—
268	#103	D₄×C₁₃₉	1	2	yes	—
269	#103	D₄×C₁₃₉	1	2	yes	—
270	#102	—	2	2	no	—
271	#102	D₄×C₁₃₉	1	2	yes	—
272	#102	D₄×C₁₃₉	1	2	yes	—
273	#101	—	2	2	no	—
274	C₂²⋊C₈	—	2	2	no	—
275	C₂²⋊C₈	—	2	2	no	—
276	#97	—	2	2	no	—
277	C₄×C₈	—	2	2	no	—
278	#95	—	4	1	no	—
279	#41	—	2	2	no	—
280	#41	—	2	2	no	—
281	#41	—	2	2	no	—
282	#41	—	2	2	no	—
283	C₂×Q₈	—	2	1	no	—
284	C₂×Q₈	—	2	2	no	—
285	C₂×Q₈	—	2	2	no	—
286	C₂×Q₈	C₂×D₄×C₁₃₉	1	2	yes	—
287	C₂×Q₈	#41×C₁₃₉	1	2	yes	—
288	C₂×D₄	—	2	2	no	—
289	C₂×D₄	—	4	1	no	—
290	C₂×D₄	C₂×D₄×C₁₃₉	1	2	yes	—
291	C₂²×C₄	—	2	1	no	—
292	C₂²×C₄	—	2	1	no	—
293	C₂²×C₄	—	2	2	no	—
294	C₂²×C₄	—	2	1	no	—
295	C₂²×C₄	—	2	2	no	—
296	C₂²×C₄	—	4	2	no	—
297	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
298	Q₁₆	—	2	8	no	—
299	SD₁₆	—	2	8	no	—
300	M₁₆	—	2	2	no	—
301	M₁₆	—	2	2	no	—
302	M₁₆	—	2	2	no	—
303	M₁₆	#41×C₁₃₉	1	4	yes	—
304	C₂×C₈	—	2	2	no	—
305	C₂×C₈	—	2	2	no	—
306	C₂×C₈	—	2	2	no	—
307	C₂×C₈	—	2	2	no	—
308	C₂×C₈	C₂×D₄×C₁₃₉	1	2	yes	—
309	C₂×C₈	C₂×D₄×C₁₃₉	1	2	yes	—
310	C₄⋊C₄	—	2	2	no	—
311	C₄⋊C₄	—	2	2	no	—
312	C₄⋊C₄	—	2	2	no	—
313	C₄⋊C₄	—	4	2	no	—
314	C₄⋊C₄	—	4	1	no	—
315	C₄⋊C₄	—	4	1	no	—
316	C₄⋊C₄	—	4	1	no	—
317	C₄⋊C₄	—	8	2	no	—
318	C₄⋊C₄	C₂×D₄×C₁₃₉	1	2	yes	—
319	C₄⋊C₄	C₂×D₄×C₁₃₉	1	2	yes	—
320	C₂²⋊C₄	—	2	2	no	—
321	C₂²⋊C₄	—	4	2	no	—
322	C₂²⋊C₄	—	4	2	no	—
323	C₄²	—	2	2	no	—
324	C₄²	—	2	2	no	—
325	C₄²	—	4	2	no	—
326	C₄²	—	4	2	no	—
327	C₂³	—	2	2	no	—
328	C₂³	H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
329	Q₈	—	2	4	no	—
330	Q₈	—	2	2	no	—
331	Q₈	—	2	2	no	—
332	Q₈	—	4	2	no	—
333	D₄	—	2	2	no	—
334	D₄	—	2	2	no	—
335	D₄	—	4	2	no	—
336	D₄	—	4	2	no	—
337	D₄	—	16	1	no	—
338	C₂×C₄	—	2	2	no	—
339	C₂×C₄	—	2	2	no	—
340	C₂×C₄	—	2	2	no	—
341	C₂×C₄	—	2	2	no	—
342	C₂×C₄	—	2	2	no	—
343	C₂×C₄	—	4	1	no	—
344	C₂×C₄	—	4	1	no	—
345	C₂×C₄	—	4	1	no	—
346	C₂×C₄	—	4	1	no	—
347	C₂×C₄	—	4	2	no	—
348	C₂×C₄	—	4	2	no	—
349	C₂×C₄	—	4	2	no	—
350	C₂×C₄	—	4	1	no	—
351	C₂×C₄	—	8	2	no	—
352	C₂×C₄	—	8	1	no	—
353	C₂×C₄	—	16	2	no	—
354	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
355	C₂×C₄	C₂×#41×C₁₃₉	1	1	yes	characteristic
356	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
357	C₂×C₄	2₋¹⁺⁴×C₁₃₉	1	1	yes	characteristic
358	C₈	—	2	4	no	—
359	C₈	—	2	2	no	—
360	C₈	—	2	2	no	—
361	C₈	—	4	2	no	—
362	C₂²	—	2	1	no	—
363	C₂²	—	2	1	no	—
364	C₂²	—	4	2	no	—
365	C₂²	—	4	2	no	—
366	C₂²	—	4	2	no	—
367	C₂²	#539×C₁₃₉	1	1	yes	characteristic
368	C₂²	D₄²×C₁₃₉	1	1	yes	characteristic
369	C₂²	#559×C₁₃₉	1	1	yes	characteristic
370	C₄	—	4	2	no	—
371	C₄	—	4	2	no	—
372	C₄	—	4	2	no	—
373	C₄	—	4	2	no	—
374	C₄	—	4	2	no	—
375	C₄	—	8	1	no	—
376	C₄	—	8	2	no	—
377	C₄	#525×C₁₃₉	1	2	yes	—
378	C₄	#547×C₁₃₉	1	2	yes	—
379	C₂	—	2	1	no	—
380	C₂	—	2	1	no	—
381	C₂	—	8	2	no	—
382	C₂	#2455×C₁₃₉	1	1	yes	characteristic
383	C₂	#3289×C₁₃₉	1	1	yes	characteristic
384	C₂	#3291×C₁₃₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃₉	D₄²
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃₉
prime radical	#537×C₁₃₉	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃₉ ◁ C₂²×C₄×C₁₃₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. #2947×C₁₃₉	C₂	semidirect
3. #2096×C₁₃₉	C₂	semidirect
4. #2052×C₁₃₉	C₂	semidirect
6. #1951×C₁₃₉	C₂	semidirect
7. #1929×C₁₃₉	C₂	semidirect
8. #1859×C₁₃₉	C₂	semidirect
9. #1857×C₁₃₉	C₂	semidirect
192. #26582	C₁₃₉	direct (N × H)
193. C₁₃₉	#26582	direct (N × H)
195. #2947	C₂×C₁₃₉	semidirect
196. #2096	C₂×C₁₃₉	semidirect
197. #2052	C₂×C₁₃₉	semidirect
199. #1951	C₂×C₁₃₉	semidirect
200. #1929	C₂×C₁₃₉	semidirect
201. #1859	C₂×C₁₃₉	semidirect
202. #1857	C₂×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
#3099×C₁₃₉	2
#2947×C₁₃₉	2
#2096×C₁₃₉	2
#2052×C₁₃₉	2
#2007×C₁₃₉	2
#1951×C₁₃₉	2
#1929×C₁₃₉	2
#1859×C₁₃₉	2
#1857×C₁₃₉	2
#26582	139

Subgroups — C139×#26582 #48021178

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#26582 #48021178