Subgroups — #31815229

Order 17792.

506 conjugacy classes of subgroups.

The subgroup lattice has 378 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#17984866	C₂	1	1	yes	maximal, characteristic
2	#22581432	C₂	1	1	yes	maximal, characteristic, complemented
3	#22581425	C₂	1	1	yes	maximal, characteristic, complemented
4	#22581065	C₂	1	1	yes	maximal, characteristic, complemented
5	#22581063	C₂	1	1	yes	maximal, characteristic, complemented
6	#22581053	C₂	1	1	yes	maximal, characteristic, complemented
7	#22581052	C₂	1	1	yes	maximal, characteristic, complemented
8	#22581044	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄×#14555774	C₂	1	1	yes	maximal, characteristic, complemented
10	#22581033	C₂	1	1	yes	maximal, characteristic, complemented
11	#22580994	C₂	1	1	yes	maximal, characteristic, complemented
12	#22580946	C₂	1	1	yes	maximal, characteristic, complemented
13	#102×D₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#22580907	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄×D₈×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#14555784	C₂²	1	1	yes	characteristic
17	C₂×D₄×D₁₃₉	C₂²	1	1	yes	characteristic
18	#17984866	C₄	1	8	yes	complemented
19	C₂×#14555774	C₂²	1	1	yes	characteristic
20	C₂×#14555773	C₂²	1	1	yes	characteristic
21	C₂×#14555770	C₂²	1	1	yes	characteristic
22	C₂×#14555768	C₂²	1	1	yes	characteristic
23	C₂×C₈×D₁₃₉	C₂²	1	1	yes	characteristic
24	C₄×Dic₂₇₈	C₂²	1	1	yes	characteristic, complemented
25	#17984807	C₂²	1	1	yes	characteristic, complemented
26	C₄×D₅₅₆	C₂²	1	1	yes	characteristic
27	D₄×Dic₁₃₉	C₂²	1	1	yes	characteristic
28	D₄×Dic₁₃₉	C₂²	1	1	yes	characteristic, complemented
29	#17984804	C₂²	1	1	yes	characteristic
30	C₄×C₂²⋊D₁₃₉	—	2	1	no	—
31	C₄×C₂²⋊D₁₃₉	—	2	1	no	—
32	(C₂²⋊D₁₃₉)⋊C₄	—	2	1	no	—
33	(C₂²⋊D₁₃₉)⋊C₄	—	2	1	no	—
34	#17984800	C₂²	1	1	yes	characteristic
35	#17984799	C₂²	1	1	yes	characteristic
36	#17984798	—	2	1	no	—
37	C₂×Dic₁₃₉⋊C₄	—	2	1	no	—
38	C₄⋊C₄×D₁₃₉	C₂²	1	1	yes	characteristic
39	C₂×(C₂×D₁₃₉)⋊C₄	—	2	1	no	—
40	C₂²⋊C₄×D₁₃₉	—	2	1	no	—
41	#17984775	C₂²	1	1	yes	characteristic, complemented
42	#17984774	C₂²	1	1	yes	characteristic, complemented
43	#17984773	C₂²	1	1	yes	characteristic, complemented
44	#17984767	C₂²	1	1	yes	characteristic, complemented
45	#17984765	C₂²	1	1	yes	characteristic, complemented
46	#17984764	C₂²	1	1	yes	characteristic
47	#17984763	C₂²	1	1	yes	characteristic
48	#17984763	C₂²	1	1	yes	characteristic, complemented
49	#17984762	C₂²	1	1	yes	characteristic
50	#17984753	C₂²	1	1	yes	characteristic, complemented
51	#17984752	C₂²	1	1	yes	characteristic, complemented
52	C₈×Dic₁₃₉	C₂²	1	1	yes	characteristic, complemented
53	C₂×D₈×C₁₃₉	C₂²	1	1	yes	characteristic
54	C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
55	C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
56	#107×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
57	#102×C₁₃₉	C₂²	1	1	yes	characteristic
58	#102×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
59	C₄×C₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
60	C₂³×D₁₃₉	—	2	1	no	—
61	#14555784	—	2	2	no	—
62	#14555784	C₂×C₄	1	4	yes	complemented
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	D₄×D₁₃₉	—	2	2	no	—
68	D₄×D₁₃₉	C₂×C₄	1	4	yes	complemented
69	C₂²×Dic₁₃₉	—	2	1	no	—
70	C₂²×Dic₁₃₉	—	2	1	no	—
71	C₂²×Dic₁₃₉	—	2	1	no	—
72	C₂×C₄×D₁₃₉	—	2	1	no	—
73	C₂×C₄×D₁₃₉	—	2	1	no	—
74	C₂×C₄×D₁₃₉	—	2	1	no	—
75	C₂×C₄×D₁₃₉	C₂³	1	1	yes	characteristic
76	#14555774	C₂×C₄	1	4	yes	complemented
77	#14555773	C₂×C₄	1	4	yes	complemented
78	#14555770	C₂×C₄	1	4	yes	complemented
79	#14555768	C₂×C₄	1	4	yes	complemented
80	C₂×C₁₃₉⋊C₈	C₂³	1	1	yes	characteristic
81	C₂×C₁₃₉⋊C₈	C₂³	1	1	yes	characteristic
82	C₈×D₁₃₉	—	2	2	no	—
83	C₄⋊Dic₁₃₉	C₂³	1	1	yes	characteristic
84	C₄⋊Dic₁₃₉	C₂³	1	1	yes	characteristic
85	Dic₁₃₉⋊C₄	—	2	1	no	—
86	Dic₁₃₉⋊C₄	—	2	1	no	—
87	Dic₁₃₉⋊C₄	—	2	1	no	—
88	Dic₁₃₉⋊C₄	D₄	1	1	yes	characteristic
89	Dic₁₃₉⋊C₄	D₄	1	1	yes	characteristic
90	C₂²⋊Dic₁₃₉	—	2	1	no	—
91	C₂²⋊Dic₁₃₉	—	2	1	no	—
92	(C₂×D₁₃₉)⋊C₄	—	2	1	no	—
93	(C₂×D₁₃₉)⋊C₄	—	2	1	no	—
94	(C₂×D₁₃₉)⋊C₄	—	2	1	no	—
95	(C₂×D₁₃₉)⋊C₄	D₄	1	1	yes	characteristic
96	(C₂×D₁₃₉)⋊C₄	D₄	1	1	yes	characteristic
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×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
102	C₂×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
103	C₂²×C₄×C₁₃₉	—	2	1	no	—
104	C₂²×C₄×C₁₃₉	—	2	1	no	—
105	D₈×C₁₃₉	C₂×C₄	1	4	yes	complemented
106	C₂×C₈×C₁₃₉	C₂³	1	1	yes	characteristic
107	C₂×C₈×C₁₃₉	C₂³	1	1	yes	characteristic
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	C₂²⋊C₄×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	C₂²×C₄	1	2	yes	—
120	D₅₅₆	—	2	1	no	—
121	D₅₅₆	C₂²×C₄	1	2	yes	—
122	C₂²⋊D₁₃₉	—	2	4	no	—
123	C₂²⋊D₁₃₉	—	2	4	no	—
124	C₂×Dic₁₃₉	—	2	1	no	—
125	C₂×Dic₁₃₉	—	2	4	no	—
126	C₂×Dic₁₃₉	—	2	1	no	—
127	C₂×Dic₁₃₉	—	2	1	no	—
128	C₂×Dic₁₃₉	—	8	1	no	—
129	C₂×Dic₁₃₉	—	8	1	no	—
130	C₂×Dic₁₃₉	C₂×D₄	1	1	yes	characteristic
131	C₂×Dic₁₃₉	C₂×D₄	1	1	yes	characteristic
132	C₂×Dic₁₃₉	C₂×D₄	1	1	yes	characteristic
133	C₄×D₁₃₉	—	8	1	no	—
134	C₄×D₁₃₉	—	8	1	no	—
135	C₄×D₁₃₉	—	8	1	no	—
136	C₄×D₁₃₉	C₂²×C₄	1	2	yes	—
137	C₄×D₁₃₉	#41	1	2	yes	—
138	C₁₃₉⋊C₈	—	2	1	no	—
139	C₁₃₉⋊C₈	C₂²×C₄	1	2	yes	—
140	C₂³×C₁₃₉	—	2	1	no	—
141	C₂³×C₁₃₉	—	2	1	no	—
142	D₄×C₁₃₉	—	2	1	no	—
143	D₄×C₁₃₉	—	2	1	no	—
144	D₄×C₁₃₉	C₂²×C₄	1	2	yes	—
145	D₄×C₁₃₉	C₂²×C₄	1	2	yes	—
146	C₂×C₄×C₁₃₉	—	2	1	no	—
147	C₂×C₄×C₁₃₉	—	2	1	no	—
148	C₂×C₄×C₁₃₉	—	8	1	no	—
149	C₂×C₄×C₁₃₉	—	8	1	no	—
150	C₂×C₄×C₁₃₉	C₂×D₄	1	1	yes	characteristic
151	C₂×C₄×C₁₃₉	C₂×D₄	1	1	yes	characteristic
152	C₂×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
153	C₈×C₁₃₉	—	2	1	no	—
154	C₈×C₁₃₉	C₂²×C₄	1	2	yes	—
155	C₂²×C₁₃₉	—	2	2	no	—
156	C₂²×C₁₃₉	—	2	2	no	—
157	C₂²×C₁₃₉	—	4	1	no	—
158	C₂²×C₁₃₉	—	4	1	no	—
159	C₂²×C₁₃₉	—	4	1	no	—
160	C₂²×C₁₃₉	—	4	1	no	—
161	C₂²×C₁₃₉	C₂²×D₄	1	1	yes	characteristic
162	C₂×D₁₃₉	—	2	1	no	—
163	C₂×D₁₃₉	—	2	1	no	—
164	C₂×D₁₃₉	—	2	2	no	—
165	C₂×D₁₃₉	—	4	1	no	—
166	C₂×D₁₃₉	—	4	1	no	—
167	C₂×D₁₃₉	—	8	4	no	—
168	C₂×D₁₃₉	C₄×D₄	1	2	yes	—
169	C₄×C₁₃₉	—	2	1	no	—
170	C₄×C₁₃₉	—	2	1	no	—
171	C₄×C₁₃₉	—	4	1	no	—
172	C₄×C₁₃₉	—	4	1	no	—
173	C₄×C₁₃₉	C₂³×C₄	1	1	yes	characteristic
174	C₄×C₁₃₉	C₂×#41	1	1	yes	characteristic
175	Dic₁₃₉	—	2	2	no	—
176	Dic₁₃₉	—	2	1	no	—
177	Dic₁₃₉	—	2	1	no	—
178	Dic₁₃₉	—	4	1	no	—
179	Dic₁₃₉	—	4	1	no	—
180	Dic₁₃₉	C₄×D₄	1	2	yes	—
181	C₂×C₁₃₉	—	4	2	no	—
182	C₂×C₁₃₉	—	4	2	no	—
183	C₂×C₁₃₉	C₂×C₄×D₄	1	1	yes	characteristic
184	C₂×C₁₃₉	#576	1	1	yes	characteristic
185	C₂×C₁₃₉	#577	1	1	yes	characteristic
186	D₁₃₉	—	2	2	no	—
187	D₁₃₉	—	4	2	no	—
188	C₁₃₉	#2946	1	1	yes	characteristic, complemented, Sylow
189	#2946	—	139	1	no	maximal, Sylow
190	C₂×AGL(1,ℤ/8)	—	139	1	no	—
191	#520	—	139	1	no	—
192	#518	—	139	1	no	—
193	#442	—	139	1	no	—
194	#442	—	139	1	no	—
195	#440	—	139	1	no	—
196	#440	—	139	1	no	—
197	C₄×SD₁₆	—	139	1	no	—
198	C₄×SD₁₆	—	139	1	no	—
199	C₄×D₈	—	139	1	no	—
200	C₄×D₈	D₁₃₉	1	1	yes	characteristic, complemented
201	#428	—	139	1	no	—
202	#416	—	139	1	no	—
203	C₂×#102	—	139	1	no	—
204	#405	—	139	1	no	—
205	C₂×#41	—	139	1	no	—
206	C₂²×D₄	—	139	1	no	—
207	AGL(1,ℤ/8)	—	139	8	no	—
208	C₂×SD₁₆	—	139	1	no	—
209	C₂×SD₁₆	—	139	1	no	—
210	C₂×D₈	—	139	1	no	—
211	C₂×D₈	C₂×D₁₃₉	1	1	yes	characteristic
212	C₂×M₁₆	—	139	1	no	—
213	C₂²×C₈	—	139	1	no	—
214	C₄×Q₈	—	139	1	no	—
215	C₄×Q₈	—	139	1	no	—
216	C₄×D₄	—	278	1	no	—
217	C₄×D₄	—	278	1	no	—
218	C₄×D₄	—	278	1	no	—
219	C₄×D₄	—	278	1	no	—
220	C₄×D₄	—	139	1	no	—
221	C₄×D₄	—	139	1	no	—
222	C₄×D₄	—	139	1	no	—
223	C₄×D₄	—	139	1	no	—
224	C₄×D₄	C₂×D₁₃₉	1	1	yes	characteristic
225	C₄×D₄	C₂×D₁₃₉	1	1	yes	characteristic, complemented
226	#117	—	278	1	no	—
227	#117	—	139	1	no	—
228	#117	—	139	1	no	—
229	C₂×C₄⋊C₄	—	278	1	no	—
230	C₂×C₄⋊C₄	—	139	1	no	—
231	C₂×C₂²⋊C₄	—	278	1	no	—
232	C₂×C₂²⋊C₄	—	278	1	no	—
233	#107	—	139	1	no	—
234	#107	C₂×D₁₃₉	1	1	yes	characteristic, complemented
235	#106	—	139	1	no	—
236	#106	—	139	1	no	—
237	#103	—	139	1	no	—
238	#103	—	139	1	no	—
239	#102	—	139	1	no	—
240	#102	—	139	1	no	—
241	#102	—	139	1	no	—
242	#102	—	139	1	no	—
243	#102	C₂×D₁₃₉	1	1	yes	characteristic
244	#102	C₂×D₁₃₉	1	1	yes	characteristic, complemented
245	#97	—	139	1	no	—
246	#97	—	139	1	no	—
247	C₄×C₈	—	139	1	no	—
248	C₄×C₈	C₂×D₁₃₉	1	1	yes	characteristic, complemented
249	C₂⁴	—	278	1	no	—
250	#41	—	278	2	no	—
251	#41	—	139	4	no	—
252	C₂×Q₈	—	139	1	no	—
253	C₂×D₄	—	278	1	no	—
254	C₂×D₄	—	278	2	no	—
255	C₂×D₄	—	278	1	no	—
256	C₂×D₄	—	139	4	no	—
257	C₂×D₄	—	139	1	no	—
258	C₂×D₄	C₂²×D₁₃₉	1	1	yes	characteristic
259	C₂×D₄	C₂²×D₁₃₉	1	1	yes	characteristic
260	C₂²×C₄	—	2	1	no	—
261	C₂²×C₄	—	2	1	no	—
262	C₂²×C₄	—	278	1	no	—
263	C₂²×C₄	—	278	1	no	—
264	C₂²×C₄	—	278	1	no	—
265	C₂²×C₄	—	278	1	no	—
266	C₂²×C₄	—	278	1	no	—
267	C₂²×C₄	—	278	1	no	—
268	C₂²×C₄	—	139	1	no	—
269	SD₁₆	—	139	4	no	—
270	SD₁₆	—	139	4	no	—
271	D₈	—	139	4	no	—
272	D₈	C₄×D₁₃₉	1	4	yes	complemented
273	M₁₆	—	139	4	no	—
274	C₂×C₈	—	278	2	no	—
275	C₂×C₈	—	139	1	no	—
276	C₂×C₈	—	139	1	no	—
277	C₂×C₈	C₂²×D₁₃₉	1	1	yes	characteristic
278	C₂×C₈	C₂²×D₁₃₉	1	1	yes	characteristic
279	C₄⋊C₄	—	278	1	no	—
280	C₄⋊C₄	—	278	1	no	—
281	C₄⋊C₄	—	278	1	no	—
282	C₄⋊C₄	—	139	1	no	—
283	C₄⋊C₄	—	139	1	no	—
284	C₄⋊C₄	—	139	1	no	—
285	C₄⋊C₄	—	139	1	no	—
286	C₄⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
287	C₄⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
288	C₂²⋊C₄	—	2	1	no	—
289	C₂²⋊C₄	—	2	1	no	—
290	C₂²⋊C₄	—	278	1	no	—
291	C₂²⋊C₄	—	278	1	no	—
292	C₂²⋊C₄	—	278	1	no	—
293	C₂²⋊C₄	—	278	1	no	—
294	C₂²⋊C₄	—	278	1	no	—
295	C₂²⋊C₄	—	139	1	no	—
296	C₂²⋊C₄	—	139	1	no	—
297	C₄²	—	278	1	no	—
298	C₄²	—	278	1	no	—
299	C₄²	—	278	1	no	—
300	C₄²	—	139	1	no	—
301	C₄²	C₂²×D₁₃₉	1	1	yes	characteristic
302	C₂³	—	2	1	no	—
303	C₂³	—	2	1	no	—
304	C₂³	—	278	4	no	—
305	C₂³	—	278	1	no	—
306	C₂³	—	1112	1	no	—
307	C₂³	—	1112	1	no	—
308	C₂³	—	139	1	no	—
309	Q₈	—	278	1	no	—
310	Q₈	—	139	2	no	—
311	D₄	—	2	1	no	—
312	D₄	—	2	1	no	—
313	D₄	—	278	4	no	—
314	D₄	—	278	4	no	—
315	D₄	—	278	1	no	—
316	D₄	—	139	2	no	—
317	D₄	C₂×C₄×D₁₃₉	1	2	yes	—
318	D₄	C₂×C₄×D₁₃₉	1	2	yes	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	1	no	—
321	C₂×C₄	—	8	1	no	—
322	C₂×C₄	—	8	1	no	—
323	C₂×C₄	—	278	1	no	—
324	C₂×C₄	—	278	4	no	—
325	C₂×C₄	—	278	1	no	—
326	C₂×C₄	—	278	1	no	—
327	C₂×C₄	—	1112	1	no	—
328	C₂×C₄	—	1112	1	no	—
329	C₂×C₄	—	1112	1	no	—
330	C₂×C₄	—	1112	1	no	—
331	C₂×C₄	—	1112	1	no	—
332	C₂×C₄	—	139	1	no	—
333	C₂×C₄	—	139	1	no	—
334	C₂×C₄	—	139	1	no	—
335	C₂×C₄	—	139	2	no	—
336	C₂×C₄	—	139	2	no	—
337	C₂×C₄	D₄×D₁₃₉	1	1	yes	characteristic
338	C₂×C₄	D₄×D₁₃₉	1	1	yes	characteristic
339	C₂×C₄	C₂³×D₁₃₉	1	1	yes	characteristic
340	C₈	—	2	1	no	—
341	C₈	—	278	1	no	—
342	C₈	—	139	2	no	—
343	C₈	C₂×C₄×D₁₃₉	1	2	yes	—
344	C₂²	—	2	2	no	—
345	C₂²	—	2	2	no	—
346	C₂²	—	4	1	no	—
347	C₂²	—	4	1	no	—
348	C₂²	—	4	1	no	—
349	C₂²	—	4	1	no	—
350	C₂²	—	278	1	no	—
351	C₂²	—	278	1	no	—
352	C₂²	—	278	2	no	—
353	C₂²	—	556	1	no	—
354	C₂²	—	556	1	no	—
355	C₂²	—	1112	4	no	—
356	C₂²	—	139	2	no	—
357	C₂²	C₂×D₄×D₁₃₉	1	1	yes	characteristic
358	C₄	—	2	1	no	—
359	C₄	—	2	1	no	—
360	C₄	—	4	1	no	—
361	C₄	—	4	1	no	—
362	C₄	—	278	1	no	—
363	C₄	—	278	2	no	—
364	C₄	—	278	1	no	—
365	C₄	—	556	1	no	—
366	C₄	—	556	1	no	—
367	C₄	—	139	2	no	—
368	C₄	C₂²×C₄×D₁₃₉	1	1	yes	characteristic
369	C₄	#41×D₁₃₉	1	1	yes	characteristic
370	C₂	—	4	2	no	—
371	C₂	—	4	2	no	—
372	C₂	—	278	2	no	—
373	C₂	—	556	2	no	—
374	C₂	C₄×D₄×D₁₃₉	1	1	yes	characteristic
375	C₂	#22581754	1	1	yes	characteristic
376	C₂	#22581760	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₁₃₉
commutator	C₄×C₁₃₉	C₂³×C₄
Frattini	C₂×C₄	C₂³×D₁₃₉
Fitting	C₄×D₈×C₁₃₉	C₂
socle	C₂²×C₁₃₉	C₂²×D₄
prime radical	C₂×#17984866	C₂
cosocle	C₂×C₄×C₁₃₉	C₂⁴
hypercenter	C₄×D₈	D₁₃₉
hypocenter	C₁₃₉	#2946
LCS	G ▷ C₄×C₁₃₉ ▷ C₂×C₁₃₉ ▷ C₁₃₉
UCS	C₁ ◁ C₂² ◁ C₄² ◁ C₄×D₈

Complements

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

N	H ≅ G/N	type
2. #22581432	C₂	semidirect
3. #22581425	C₂	semidirect
4. #22581065	C₂	semidirect
5. #22581063	C₂	semidirect
6. #22581053	C₂	semidirect
7. #22581052	C₂	semidirect
8. #22581044	C₂	semidirect
9. C₄×#14555774	C₂	semidirect
10. #22581033	C₂	semidirect
11. #22580994	C₂	semidirect
12. #22580946	C₂	semidirect
13. #102×D₁₃₉	C₂	semidirect
14. #22580907	C₂	semidirect
15. C₄×D₈×C₁₃₉	C₂	semidirect
18. #17984866	C₄	semidirect
24. C₄×Dic₂₇₈	C₂²	semidirect
25. #17984807	C₂²	semidirect
28. D₄×Dic₁₃₉	C₂²	semidirect
41. #17984775	C₂²	semidirect
42. #17984774	C₂²	semidirect
43. #17984773	C₂²	semidirect
44. #17984767	C₂²	semidirect
45. #17984765	C₂²	semidirect
48. #17984763	C₂²	semidirect
50. #17984753	C₂²	semidirect
51. #17984752	C₂²	semidirect
52. C₈×Dic₁₃₉	C₂²	semidirect
55. C₄×D₄×C₁₃₉	C₂²	semidirect
56. #107×C₁₃₉	C₂²	semidirect
58. #102×C₁₃₉	C₂²	semidirect
59. C₄×C₈×C₁₃₉	C₂²	semidirect
62. #14555784	C₂×C₄	semidirect
68. D₄×D₁₃₉	C₂×C₄	semidirect
76. #14555774	C₂×C₄	semidirect
77. #14555773	C₂×C₄	semidirect
78. #14555770	C₂×C₄	semidirect
79. #14555768	C₂×C₄	semidirect
105. D₈×C₁₃₉	C₂×C₄	semidirect
188. C₁₃₉	#2946	semidirect
200. C₄×D₈	D₁₃₉	semidirect
225. C₄×D₄	C₂×D₁₃₉	semidirect
234. #107	C₂×D₁₃₉	semidirect
244. #102	C₂×D₁₃₉	semidirect
248. C₄×C₈	C₂×D₁₃₉	semidirect
272. D₈	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×#17984866	2
#22581432	2
#22581425	2
#22581065	2
#22581063	2
#22581053	2
#22581052	2
#22581044	2
C₄×#14555774	2
#22581033	2
#22580994	2
#22580946	2
#102×D₁₃₉	2
#22580907	2
C₄×D₈×C₁₃₉	2
#2946	139