Subgroups — #31815260

Order 17792.

492 conjugacy classes of subgroups.

The subgroup lattice has 366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×SD₁₆×D₁₃₉	C₂	1	1	yes	maximal, characteristic
2	#22581429	C₂	1	1	yes	maximal, characteristic, complemented
3	#22581425	C₂	1	1	yes	maximal, characteristic
4	#22581055	C₂	1	1	yes	maximal, characteristic, complemented
5	#22581054	C₂	1	1	yes	maximal, characteristic, complemented
6	#22581052	C₂	1	1	yes	maximal, characteristic, complemented
7	#22581044	C₂	1	1	yes	maximal, characteristic, complemented
8	C₄×#14555772	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄×#14555773	C₂	1	1	yes	maximal, characteristic, complemented
10	#22581038	C₂	1	1	yes	maximal, characteristic, complemented
11	#22580990	C₂	1	1	yes	maximal, characteristic, complemented
12	#22580960	C₂	1	1	yes	maximal, characteristic, complemented
13	#22580956	C₂	1	1	yes	maximal, characteristic
14	#22580910	C₂	1	1	yes	maximal, characteristic, complemented
15	#440×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×Q₈×D₁₃₉	C₂²	1	1	yes	characteristic
17	C₂×D₄×D₁₃₉	C₂²	1	1	yes	characteristic
18	C₂×#14555774	C₂²	1	1	yes	characteristic
19	C₂×#14555773	C₂²	1	1	yes	characteristic
20	C₂×#14555772	C₂²	1	1	yes	characteristic
21	SD₁₆×D₁₃₉	C₄	1	8	yes	complemented
22	C₂×#14555768	C₂²	1	1	yes	characteristic
23	C₂×C₈×D₁₃₉	C₂²	1	1	yes	characteristic
24	Q₈×Dic₁₃₉	C₂²	1	1	yes	characteristic, complemented
25	C₄×Dic₂₇₈	—	2	1	no	—
26	C₄×Dic₂₇₈	C₂²	1	1	yes	characteristic, complemented
27	#17984807	—	2	1	no	—
28	#17984807	C₂²	1	1	yes	characteristic, complemented
29	C₄×D₅₅₆	C₂²	1	1	yes	characteristic
30	D₄×Dic₁₃₉	C₂²	1	1	yes	characteristic
31	#17984804	C₂²	1	1	yes	characteristic
32	C₄×C₂²⋊D₁₃₉	—	2	1	no	—
33	(C₂²⋊D₁₃₉)⋊C₄	—	2	1	no	—
34	#17984800	—	2	1	no	—
35	#17984800	C₂²	1	1	yes	characteristic
36	#17984800	C₂²	1	1	yes	characteristic
37	#17984799	—	2	1	no	—
38	#17984799	C₂²	1	1	yes	characteristic
39	C₂×(C₂×D₁₃₉)⋊C₄	—	2	1	no	—
40	C₂²⋊C₄×D₁₃₉	—	2	1	no	—
41	#17984776	C₂²	1	1	yes	characteristic, complemented
42	#17984773	C₂²	1	1	yes	characteristic, complemented
43	#17984773	C₂²	1	1	yes	characteristic, complemented
44	#17984767	C₂²	1	1	yes	characteristic, complemented
45	#17984766	C₂²	1	1	yes	characteristic, complemented
46	#17984765	C₂²	1	1	yes	characteristic, complemented
47	#17984764	C₂²	1	1	yes	characteristic
48	#17984763	C₂²	1	1	yes	characteristic
49	#17984762	C₂²	1	1	yes	characteristic
50	#17984752	C₂²	1	1	yes	characteristic, complemented
51	C₄×C₁₃₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
52	C₈×Dic₁₃₉	C₂²	1	1	yes	characteristic, complemented
53	C₂×SD₁₆×C₁₃₉	C₂²	1	1	yes	characteristic
54	C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
55	C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
56	#107×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
57	#103×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
58	#102×C₁₃₉	C₂²	1	1	yes	characteristic
59	#97×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
60	C₂³×D₁₃₉	—	2	1	no	—
61	C₂×Dic₂₇₈	—	2	1	no	—
62	C₂×Dic₂₇₈	C₂³	1	1	yes	characteristic
63	Q₈×D₁₃₉	—	2	2	no	—
64	Q₈×D₁₃₉	C₂×C₄	1	4	yes	complemented
65	C₂×D₅₅₆	C₂³	1	1	yes	characteristic
66	C₂×C₂²⋊D₁₃₉	—	2	1	no	—
67	D₄×D₁₃₉	—	2	2	no	—
68	D₄×D₁₃₉	C₂×C₄	1	4	yes	—
69	C₂²×Dic₁₃₉	—	2	1	no	—
70	C₂×C₄×D₁₃₉	—	2	1	no	—
71	C₂×C₄×D₁₃₉	—	2	1	no	—
72	C₂×C₄×D₁₃₉	—	2	1	no	—
73	C₂×C₄×D₁₃₉	C₂³	1	1	yes	characteristic
74	#14555774	C₂×C₄	1	4	yes	complemented
75	#14555773	C₂×C₄	1	4	yes	complemented
76	#14555772	C₂×C₄	1	4	yes	complemented
77	#14555768	—	2	2	no	—
78	C₂×C₁₃₉⋊C₈	C₂³	1	1	yes	characteristic
79	C₂×C₁₃₉⋊C₈	C₂³	1	1	yes	characteristic
80	C₈×D₁₃₉	C₂×C₄	1	4	yes	complemented
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	Dic₁₃₉⋊C₄	D₄	1	1	yes	characteristic
87	Dic₁₃₉⋊C₄	D₄	1	1	yes	characteristic
88	C₂²⋊Dic₁₃₉	—	2	1	no	—
89	(C₂×D₁₃₉)⋊C₄	—	2	1	no	—
90	(C₂×D₁₃₉)⋊C₄	—	2	1	no	—
91	(C₂×D₁₃₉)⋊C₄	—	2	1	no	—
92	(C₂×D₁₃₉)⋊C₄	—	2	1	no	—
93	(C₂×D₁₃₉)⋊C₄	D₄	1	1	yes	characteristic
94	(C₂×D₁₃₉)⋊C₄	D₄	1	1	yes	characteristic
95	C₄×Dic₁₃₉	—	2	1	no	—
96	C₄×Dic₁₃₉	—	2	1	no	—
97	C₄×Dic₁₃₉	—	2	1	no	—
98	C₄×Dic₁₃₉	—	2	1	no	—
99	C₄×Dic₁₃₉	—	2	1	no	—
100	C₄×Dic₁₃₉	C₂³	1	1	yes	characteristic
101	C₂×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
102	C₂×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
103	C₂²×C₄×C₁₃₉	—	2	1	no	—
104	SD₁₆×C₁₃₉	C₂×C₄	1	4	yes	complemented
105	C₂×C₈×C₁₃₉	C₂³	1	1	yes	characteristic
106	C₂×C₈×C₁₃₉	C₂³	1	1	yes	characteristic
107	C₄⋊C₄×C₁₃₉	—	2	1	no	—
108	C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
109	C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
110	C₂²⋊C₄×C₁₃₉	—	2	1	no	—
111	C₄²×C₁₃₉	—	2	1	no	—
112	C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
113	C₂²×D₁₃₉	—	2	1	no	—
114	C₂²×D₁₃₉	—	2	4	no	—
115	C₂²×D₁₃₉	—	8	1	no	—
116	C₂²×D₁₃₉	—	8	1	no	—
117	C₂²×D₁₃₉	C₂×D₄	1	1	yes	characteristic
118	Dic₂₇₈	—	2	1	no	—
119	Dic₂₇₈	—	2	4	no	—
120	Dic₂₇₈	C₂²×C₄	1	2	yes	—
121	D₅₅₆	—	2	1	no	—
122	D₅₅₆	C₂²×C₄	1	2	yes	—
123	C₂²⋊D₁₃₉	—	2	4	no	—
124	C₂×Dic₁₃₉	—	2	1	no	—
125	C₂×Dic₁₃₉	—	2	1	no	—
126	C₂×Dic₁₃₉	—	2	1	no	—
127	C₂×Dic₁₃₉	—	8	1	no	—
128	C₂×Dic₁₃₉	C₂×D₄	1	1	yes	characteristic
129	C₂×Dic₁₃₉	C₂×D₄	1	1	yes	characteristic
130	C₂×Dic₁₃₉	C₂×D₄	1	1	yes	characteristic
131	C₄×D₁₃₉	—	2	4	no	—
132	C₄×D₁₃₉	—	8	1	no	—
133	C₄×D₁₃₉	—	8	1	no	—
134	C₄×D₁₃₉	C₂²×C₄	1	2	yes	—
135	C₄×D₁₃₉	#41	1	2	yes	—
136	C₁₃₉⋊C₈	—	2	1	no	—
137	C₁₃₉⋊C₈	C₂²×C₄	1	2	yes	—
138	C₂³×C₁₃₉	—	2	1	no	—
139	Q₈×C₁₃₉	—	2	1	no	—
140	Q₈×C₁₃₉	C₂²×C₄	1	2	yes	—
141	D₄×C₁₃₉	—	2	1	no	—
142	D₄×C₁₃₉	C₂²×C₄	1	2	yes	—
143	C₂×C₄×C₁₃₉	—	2	1	no	—
144	C₂×C₄×C₁₃₉	—	2	1	no	—
145	C₂×C₄×C₁₃₉	—	2	1	no	—
146	C₂×C₄×C₁₃₉	—	8	1	no	—
147	C₂×C₄×C₁₃₉	C₂×D₄	1	1	yes	characteristic
148	C₂×C₄×C₁₃₉	C₂×D₄	1	1	yes	characteristic
149	C₂×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
150	C₈×C₁₃₉	—	2	1	no	—
151	C₈×C₁₃₉	C₂²×C₄	1	2	yes	—
152	C₂²×C₁₃₉	—	2	2	no	—
153	C₂²×C₁₃₉	—	4	1	no	—
154	C₂²×C₁₃₉	—	4	1	no	—
155	C₂²×C₁₃₉	C₂²×D₄	1	1	yes	characteristic
156	C₂×D₁₃₉	—	2	1	no	—
157	C₂×D₁₃₉	—	2	1	no	—
158	C₂×D₁₃₉	—	2	2	no	—
159	C₂×D₁₃₉	—	4	1	no	—
160	C₂×D₁₃₉	—	4	1	no	—
161	C₂×D₁₃₉	—	8	4	no	—
162	C₂×D₁₃₉	C₄×D₄	1	2	yes	—
163	C₄×C₁₃₉	—	2	2	no	—
164	C₄×C₁₃₉	—	2	1	no	—
165	C₄×C₁₃₉	—	2	1	no	—
166	C₄×C₁₃₉	—	4	1	no	—
167	C₄×C₁₃₉	—	4	1	no	—
168	C₄×C₁₃₉	C₂³×C₄	1	1	yes	characteristic
169	C₄×C₁₃₉	C₂×#41	1	1	yes	characteristic
170	Dic₁₃₉	—	2	2	no	—
171	Dic₁₃₉	—	2	1	no	—
172	Dic₁₃₉	—	2	1	no	—
173	Dic₁₃₉	—	4	1	no	—
174	Dic₁₃₉	—	4	1	no	—
175	Dic₁₃₉	C₄×D₄	1	2	yes	—
176	C₂×C₁₃₉	—	4	2	no	—
177	C₂×C₁₃₉	C₂×C₄×D₄	1	1	yes	characteristic
178	C₂×C₁₃₉	#577	1	1	yes	characteristic
179	C₂×C₁₃₉	#577	1	1	yes	characteristic
180	D₁₃₉	—	2	2	no	—
181	D₁₃₉	—	4	2	no	—
182	C₁₃₉	#2949	1	1	yes	characteristic, complemented, Sylow
183	#2949	—	139	1	no	maximal, Sylow
184	C₂²×SD₁₆	—	139	1	no	—
185	#519	—	139	1	no	—
186	#518	—	139	1	no	—
187	#440	—	139	1	no	—
188	#440	—	139	1	no	—
189	#440	—	139	1	no	—
190	#440	D₁₃₉	1	1	yes	characteristic, complemented
191	C₄×SD₁₆	—	139	1	no	—
192	C₄×SD₁₆	—	139	1	no	—
193	C₄×SD₁₆	—	139	1	no	—
194	C₄×SD₁₆	—	139	1	no	—
195	#427	—	139	1	no	—
196	#419	—	139	1	no	—
197	#418	—	139	1	no	—
198	#405	—	139	1	no	—
199	C₂²×Q₈	—	139	1	no	—
200	C₂²×D₄	—	139	1	no	—
201	C₂×SD₁₆	—	139	1	no	—
202	C₂×SD₁₆	—	139	1	no	—
203	C₂×SD₁₆	—	139	8	no	—
204	C₂×SD₁₆	—	139	1	no	—
205	C₂×SD₁₆	C₂×D₁₃₉	1	1	yes	characteristic
206	C₂×M₁₆	—	139	1	no	—
207	C₂²×C₈	—	139	1	no	—
208	C₄×Q₈	—	278	1	no	—
209	C₄×Q₈	—	278	1	no	—
210	C₄×Q₈	—	139	1	no	—
211	C₄×Q₈	—	139	1	no	—
212	C₄×Q₈	—	139	1	no	—
213	C₄×Q₈	C₂×D₁₃₉	1	1	yes	characteristic, complemented
214	C₄×D₄	—	278	1	no	—
215	C₄×D₄	—	278	1	no	—
216	C₄×D₄	—	139	1	no	—
217	C₄×D₄	—	139	1	no	—
218	C₄×D₄	—	139	1	no	—
219	C₄×D₄	C₂×D₁₃₉	1	1	yes	characteristic
220	#117	—	278	1	no	—
221	#117	—	278	1	no	—
222	#117	—	139	1	no	—
223	#117	—	139	1	no	—
224	#117	—	139	1	no	—
225	C₂×C₂²⋊C₄	—	278	1	no	—
226	C₂×C₂²⋊C₄	—	278	1	no	—
227	#107	—	139	1	no	—
228	#107	C₂×D₁₃₉	1	1	yes	characteristic, complemented
229	#106	—	139	1	no	—
230	#106	—	139	1	no	—
231	#103	—	139	1	no	—
232	#103	—	139	1	no	—
233	#103	—	139	1	no	—
234	#103	C₂×D₁₃₉	1	1	yes	characteristic, complemented
235	#102	—	139	1	no	—
236	#102	—	139	1	no	—
237	#102	—	139	1	no	—
238	#102	C₂×D₁₃₉	1	1	yes	characteristic
239	#97	—	139	1	no	—
240	#97	C₂×D₁₃₉	1	1	yes	characteristic, complemented
241	C₄×C₈	—	139	1	no	—
242	C₄×C₈	—	139	1	no	—
243	C₂⁴	—	278	1	no	—
244	C₂×Q₈	—	278	1	no	—
245	C₂×Q₈	—	278	2	no	—
246	C₂×Q₈	—	139	4	no	—
247	C₂×Q₈	—	139	1	no	—
248	C₂×Q₈	C₂²×D₁₃₉	1	1	yes	characteristic
249	C₂×D₄	—	278	2	no	—
250	C₂×D₄	—	278	1	no	—
251	C₂×D₄	—	139	4	no	—
252	C₂×D₄	—	139	1	no	—
253	C₂×D₄	C₂²×D₁₃₉	1	1	yes	characteristic
254	C₂²×C₄	—	2	1	no	—
255	C₂²×C₄	—	278	1	no	—
256	C₂²×C₄	—	278	1	no	—
257	C₂²×C₄	—	278	1	no	—
258	C₂²×C₄	—	278	1	no	—
259	C₂²×C₄	—	139	1	no	—
260	SD₁₆	—	139	4	no	—
261	SD₁₆	—	139	4	no	—
262	SD₁₆	—	139	4	no	—
263	SD₁₆	C₄×D₁₃₉	1	4	yes	complemented
264	M₁₆	—	278	2	no	—
265	C₂×C₈	—	139	1	no	—
266	C₂×C₈	—	139	1	no	—
267	C₂×C₈	—	139	4	no	—
268	C₂×C₈	C₂²×D₁₃₉	1	1	yes	characteristic
269	C₂×C₈	C₂²×D₁₃₉	1	1	yes	characteristic
270	C₄⋊C₄	—	2	1	no	—
271	C₄⋊C₄	—	278	1	no	—
272	C₄⋊C₄	—	278	1	no	—
273	C₄⋊C₄	—	278	1	no	—
274	C₄⋊C₄	—	139	1	no	—
275	C₄⋊C₄	—	139	1	no	—
276	C₄⋊C₄	—	139	1	no	—
277	C₄⋊C₄	—	139	1	no	—
278	C₄⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
279	C₄⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
280	C₂²⋊C₄	—	2	1	no	—
281	C₂²⋊C₄	—	278	1	no	—
282	C₂²⋊C₄	—	278	1	no	—
283	C₂²⋊C₄	—	278	1	no	—
284	C₂²⋊C₄	—	278	1	no	—
285	C₂²⋊C₄	—	278	1	no	—
286	C₂²⋊C₄	—	139	1	no	—
287	C₂²⋊C₄	—	139	1	no	—
288	C₄²	—	2	1	no	—
289	C₄²	—	278	1	no	—
290	C₄²	—	278	1	no	—
291	C₄²	—	278	1	no	—
292	C₄²	—	278	1	no	—
293	C₄²	—	278	1	no	—
294	C₄²	—	139	1	no	—
295	C₄²	C₂²×D₁₃₉	1	1	yes	characteristic
296	C₂³	—	2	1	no	—
297	C₂³	—	278	4	no	—
298	C₂³	—	278	1	no	—
299	C₂³	—	1112	1	no	—
300	C₂³	—	1112	1	no	—
301	C₂³	—	139	1	no	—
302	Q₈	—	2	1	no	—
303	Q₈	—	278	4	no	—
304	Q₈	—	278	1	no	—
305	Q₈	—	139	2	no	—
306	Q₈	C₂×C₄×D₁₃₉	1	2	yes	—
307	D₄	—	2	1	no	—
308	D₄	—	278	4	no	—
309	D₄	—	278	1	no	—
310	D₄	—	139	2	no	—
311	D₄	C₂×C₄×D₁₃₉	1	2	yes	—
312	C₂×C₄	—	2	1	no	—
313	C₂×C₄	—	2	1	no	—
314	C₂×C₄	—	2	1	no	—
315	C₂×C₄	—	8	1	no	—
316	C₂×C₄	—	278	4	no	—
317	C₂×C₄	—	278	1	no	—
318	C₂×C₄	—	278	1	no	—
319	C₂×C₄	—	278	1	no	—
320	C₂×C₄	—	1112	1	no	—
321	C₂×C₄	—	1112	1	no	—
322	C₂×C₄	—	1112	1	no	—
323	C₂×C₄	—	139	1	no	—
324	C₂×C₄	—	139	1	no	—
325	C₂×C₄	—	139	1	no	—
326	C₂×C₄	—	139	2	no	—
327	C₂×C₄	—	139	2	no	—
328	C₂×C₄	D₄×D₁₃₉	1	1	yes	characteristic
329	C₂×C₄	D₄×D₁₃₉	1	1	yes	characteristic
330	C₂×C₄	C₂³×D₁₃₉	1	1	yes	characteristic
331	C₈	—	2	1	no	—
332	C₈	—	278	1	no	—
333	C₈	—	139	2	no	—
334	C₈	C₂×C₄×D₁₃₉	1	2	yes	—
335	C₂²	—	2	2	no	—
336	C₂²	—	4	1	no	—
337	C₂²	—	4	1	no	—
338	C₂²	—	278	1	no	—
339	C₂²	—	278	1	no	—
340	C₂²	—	278	2	no	—
341	C₂²	—	556	1	no	—
342	C₂²	—	556	1	no	—
343	C₂²	—	1112	4	no	—
344	C₂²	—	139	2	no	—
345	C₂²	C₂×D₄×D₁₃₉	1	1	yes	characteristic
346	C₄	—	2	1	no	—
347	C₄	—	2	1	no	—
348	C₄	—	2	2	no	—
349	C₄	—	4	1	no	—
350	C₄	—	4	1	no	—
351	C₄	—	278	1	no	—
352	C₄	—	278	1	no	—
353	C₄	—	278	2	no	—
354	C₄	—	556	1	no	—
355	C₄	—	556	1	no	—
356	C₄	—	139	2	no	—
357	C₄	C₂²×C₄×D₁₃₉	1	1	yes	characteristic
358	C₄	#41×D₁₃₉	1	1	yes	characteristic
359	C₂	—	4	2	no	—
360	C₂	—	278	2	no	—
361	C₂	—	556	2	no	—
362	C₂	C₄×D₄×D₁₃₉	1	1	yes	characteristic
363	C₂	#22581762	1	1	yes	characteristic
364	C₂	#22581763	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₁₃₉
commutator	C₄×C₁₃₉	C₂³×C₄
Frattini	C₂×C₄	C₂³×D₁₃₉
Fitting	#440×C₁₃₉	C₂
socle	C₂²×C₁₃₉	C₂²×D₄
prime radical	C₂×D₄×D₁₃₉	C₂²
cosocle	C₂×C₄×C₁₃₉	C₂⁴
hypercenter	#440	D₁₃₉
hypocenter	C₁₃₉	#2949
LCS	G ▷ C₄×C₁₃₉ ▷ C₂×C₁₃₉ ▷ C₁₃₉
UCS	C₁ ◁ C₂² ◁ C₄² ◁ #440

Complements

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

N	H ≅ G/N	type
2. #22581429	C₂	semidirect
4. #22581055	C₂	semidirect
5. #22581054	C₂	semidirect
6. #22581052	C₂	semidirect
7. #22581044	C₂	semidirect
8. C₄×#14555772	C₂	semidirect
9. C₄×#14555773	C₂	semidirect
10. #22581038	C₂	semidirect
11. #22580990	C₂	semidirect
12. #22580960	C₂	semidirect
14. #22580910	C₂	semidirect
15. #440×C₁₃₉	C₂	semidirect
21. SD₁₆×D₁₃₉	C₄	semidirect
24. Q₈×Dic₁₃₉	C₂²	semidirect
26. C₄×Dic₂₇₈	C₂²	semidirect
28. #17984807	C₂²	semidirect
41. #17984776	C₂²	semidirect
42. #17984773	C₂²	semidirect
43. #17984773	C₂²	semidirect
44. #17984767	C₂²	semidirect
45. #17984766	C₂²	semidirect
46. #17984765	C₂²	semidirect
50. #17984752	C₂²	semidirect
51. C₄×C₁₃₉⋊C₈	C₂²	semidirect
52. C₈×Dic₁₃₉	C₂²	semidirect
54. C₄×Q₈×C₁₃₉	C₂²	semidirect
56. #107×C₁₃₉	C₂²	semidirect
57. #103×C₁₃₉	C₂²	semidirect
59. #97×C₁₃₉	C₂²	semidirect
64. Q₈×D₁₃₉	C₂×C₄	semidirect
74. #14555774	C₂×C₄	semidirect
75. #14555773	C₂×C₄	semidirect
76. #14555772	C₂×C₄	semidirect
80. C₈×D₁₃₉	C₂×C₄	semidirect
104. SD₁₆×C₁₃₉	C₂×C₄	semidirect
182. C₁₃₉	#2949	semidirect
190. #440	D₁₃₉	semidirect
213. C₄×Q₈	C₂×D₁₃₉	semidirect
228. #107	C₂×D₁₃₉	semidirect
234. #103	C₂×D₁₃₉	semidirect
240. #97	C₂×D₁₃₉	semidirect
263. SD₁₆	C₄×D₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×SD₁₆×D₁₃₉	2
#22581429	2
#22581425	2
#22581055	2
#22581054	2
#22581052	2
#22581044	2
C₄×#14555772	2
C₄×#14555773	2
#22581038	2
#22580990	2
#22580960	2
#22580956	2
#22580910	2
#440×C₁₃₉	2
#2949	139