Subgroups — #31814950

Order 17792.

738 conjugacy classes of subgroups.

The subgroup lattice has 372 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22581789	C₂	1	1	yes	maximal, characteristic
2	#22581719	C₂	1	1	yes	maximal, characteristic, complemented
3	#22581421	C₂	1	1	yes	maximal, characteristic, complemented
4	#22580971	C₂	1	1	yes	maximal, characteristic, complemented
5	#22580968	C₂	1	4	yes	maximal, complemented
6	C₂×#17984769	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#17984768	C₂	1	1	yes	maximal, characteristic, complemented
8	#104×D₁₃₉	C₂	1	4	yes	maximal, complemented
9	#421×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
10	#17984890	C₄	1	2	yes	complemented
11	#17984889	—	2	1	no	—
12	#17984889	C₄	1	2	yes	complemented
13	#17984888	—	2	1	no	—
14	#17984888	C₄	1	2	yes	complemented
15	#17984887	—	2	2	no	—
16	#17984887	C₄	1	2	yes	complemented
17	C₂×#14555785	—	2	2	no	—
18	C₂×#14555785	C₂²	1	1	yes	characteristic
19	C₂×#14555785	C₂²	1	1	yes	characteristic
20	#41×D₁₃₉	—	2	2	no	—
21	#41×D₁₃₉	C₂²	1	4	yes	—
22	#17984850	—	2	2	no	—
23	#17984848	—	2	2	no	—
24	C₂×#14555769	C₂²	1	1	yes	characteristic, complemented
25	M₁₆×D₁₃₉	C₂²	1	4	yes	complemented
26	#17984807	—	2	1	no	—
27	#17984804	—	2	1	no	—
28	(C₂²⋊D₁₃₉)⋊C₄	—	2	2	no	—
29	#17984799	C₂²	1	2	yes	complemented
30	C₂×C₄×Dic₁₃₉	C₂²	1	1	yes	characteristic, complemented
31	C₄²×D₁₃₉	C₂²	1	2	yes	complemented
32	#17984770	C₂²	1	4	yes	complemented
33	#17984769	C₂²	1	2	yes	complemented
34	#17984769	C₂²	1	2	yes	complemented
35	#17984768	C₂²	1	2	yes	complemented
36	#17984768	C₂²	1	2	yes	complemented
37	C₂×#41×C₁₃₉	C₂²	1	1	yes	characteristic
38	C₂×M₁₆×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
39	#117×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
40	#104×C₁₃₉	C₂²	1	4	yes	complemented
41	#14555786	—	2	2	no	—
42	#14555786	C₂×C₄	1	4	yes	complemented
43	#14555785	—	2	2	no	—
44	#14555785	—	2	2	no	—
45	#14555785	—	2	4	no	—
46	#14555785	—	2	4	no	—
47	#14555785	—	2	1	no	—
48	#14555785	—	2	1	no	—
49	#14555785	C₂×C₄	1	2	yes	—
50	#14555785	C₂×C₄	1	2	yes	—
51	#14555785	C₂×C₄	1	2	yes	complemented
52	#14555785	D₄	1	2	yes	—
53	#14555785	D₄	1	2	yes	—
54	#14555785	C₂³	1	2	yes	—
55	#14555784	—	2	2	no	—
56	#14555784	—	2	4	no	—
57	#14555784	—	2	4	no	—
58	#14555784	C₂×C₄	1	4	yes	complemented
59	C₂×Dic₂₇₈	—	2	2	no	—
60	C₂×Dic₂₇₈	C₂×C₄	1	1	yes	characteristic, complemented
61	C₂×Dic₂₇₈	D₄	1	1	yes	characteristic
62	Q₈×D₁₃₉	—	2	2	no	—
63	Q₈×D₁₃₉	C₂×C₄	1	4	yes	complemented
64	C₂×D₅₅₆	—	2	2	no	—
65	C₂×D₅₅₆	C₂×C₄	1	1	yes	characteristic, complemented
66	C₂×D₅₅₆	D₄	1	1	yes	characteristic
67	C₂×C₂²⋊D₁₃₉	—	2	4	no	—
68	C₂×C₂²⋊D₁₃₉	—	2	1	no	—
69	C₂×C₂²⋊D₁₃₉	D₄	1	2	yes	—
70	D₄×D₁₃₉	—	2	4	no	—
71	D₄×D₁₃₉	—	2	2	no	—
72	D₄×D₁₃₉	—	2	4	no	—
73	D₄×D₁₃₉	C₂×C₄	1	4	yes	complemented
74	C₂²×Dic₁₃₉	—	2	1	no	—
75	C₂×C₄×D₁₃₉	—	2	4	no	—
76	C₂×C₄×D₁₃₉	—	2	2	no	—
77	C₂×C₄×D₁₃₉	—	2	1	no	—
78	C₂×C₄×D₁₃₉	C₂³	1	2	yes	—
79	#14555769	—	2	1	no	—
80	#14555769	C₂³	1	2	yes	—
81	#14555768	—	2	4	no	—
82	C₂×C₁₃₉⋊C₈	—	2	1	no	—
83	C₈×D₁₃₉	—	2	4	no	—
84	Dic₁₃₉⋊C₄	—	2	2	no	—
85	(C₂×D₁₃₉)⋊C₄	—	2	2	no	—
86	C₄×Dic₁₃₉	—	2	2	no	—
87	C₄×Dic₁₃₉	—	2	1	no	—
88	C₄×Dic₁₃₉	C₂³	1	1	yes	characteristic
89	C₄×Dic₁₃₉	C₂³	1	1	yes	characteristic
90	#41×C₁₃₉	—	2	1	no	—
91	#41×C₁₃₉	—	2	1	no	—
92	#41×C₁₃₉	C₂×C₄	1	2	yes	complemented
93	#41×C₁₃₉	C₂³	1	2	yes	—
94	C₂×Q₈×C₁₃₉	C₂×C₄	1	1	yes	characteristic, complemented
95	C₂×D₄×C₁₃₉	—	2	1	no	—
96	C₂×D₄×C₁₃₉	C₂×C₄	1	1	yes	characteristic, complemented
97	C₂²×C₄×C₁₃₉	—	2	1	no	—
98	C₂²×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
99	M₁₆×C₁₃₉	—	2	1	no	—
100	M₁₆×C₁₃₉	C₂³	1	2	yes	—
101	C₂×C₈×C₁₃₉	—	2	1	no	—
102	C₄⋊C₄×C₁₃₉	—	2	1	no	—
103	C₂²⋊C₄×C₁₃₉	—	2	1	no	—
104	C₄²×C₁₃₉	C₂³	1	2	yes	—
105	C₂²×D₁₃₉	—	2	1	no	—
106	C₂²×D₁₃₉	—	2	4	no	—
107	C₂²×D₁₃₉	C₂×D₄	1	2	yes	—
108	Dic₂₇₈	—	2	1	no	—
109	Dic₂₇₈	—	2	4	no	—
110	Dic₂₇₈	C₂²⋊C₄	1	2	yes	—
111	Dic₂₇₈	C₂²⋊C₄	1	2	yes	—
112	Dic₂₇₈	C₂²×C₄	1	2	yes	—
113	D₅₅₆	—	2	4	no	—
114	D₅₅₆	—	2	1	no	—
115	D₅₅₆	C₂²⋊C₄	1	2	yes	—
116	D₅₅₆	C₂²⋊C₄	1	2	yes	—
117	D₅₅₆	C₂²×C₄	1	2	yes	—
118	C₂²⋊D₁₃₉	—	2	2	no	—
119	C₂²⋊D₁₃₉	—	2	2	no	—
120	C₂²⋊D₁₃₉	—	2	4	no	—
121	C₂²⋊D₁₃₉	—	2	4	no	—
122	C₂²⋊D₁₃₉	C₂²⋊C₄	1	4	yes	—
123	C₂²⋊D₁₃₉	C₂²⋊C₄	1	4	yes	—
124	C₂×Dic₁₃₉	—	2	1	no	—
125	C₂×Dic₁₃₉	—	2	1	no	—
126	C₂×Dic₁₃₉	—	2	4	no	—
127	C₂×Dic₁₃₉	—	2	1	no	—
128	C₂×Dic₁₃₉	—	4	2	no	—
129	C₂×Dic₁₃₉	C₂×D₄	1	2	yes	—
130	C₄×D₁₃₉	—	2	4	no	—
131	C₄×D₁₃₉	—	2	2	no	—
132	C₄×D₁₃₉	—	2	2	no	—
133	C₄×D₁₃₉	—	2	4	no	—
134	C₄×D₁₃₉	—	4	4	no	—
135	C₄×D₁₃₉	C₂²×C₄	1	4	yes	—
136	C₄×D₁₃₉	C₂×D₄	1	4	yes	—
137	C₁₃₉⋊C₈	—	2	2	no	—
138	C₂³×C₁₃₉	—	2	1	no	—
139	C₂³×C₁₃₉	C₂×D₄	1	1	yes	characteristic
140	Q₈×C₁₃₉	—	2	1	no	—
141	Q₈×C₁₃₉	C₂²×C₄	1	2	yes	—
142	D₄×C₁₃₉	—	2	2	no	—
143	D₄×C₁₃₉	—	2	2	no	—
144	D₄×C₁₃₉	—	2	1	no	—
145	D₄×C₁₃₉	C₂²×C₄	1	2	yes	—
146	C₂×C₄×C₁₃₉	—	2	1	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	C₂²×C₄	1	1	yes	characteristic
151	C₂×C₄×C₁₃₉	C₂²×C₄	1	1	yes	characteristic
152	C₂×C₄×C₁₃₉	C₂×D₄	1	1	yes	characteristic
153	C₂×C₄×C₁₃₉	C₂×D₄	1	1	yes	characteristic
154	C₂×C₄×C₁₃₉	C₂×D₄	1	1	yes	characteristic
155	C₂×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
156	C₈×C₁₃₉	—	2	2	no	—
157	C₂²×C₁₃₉	—	2	2	no	—
158	C₂²×C₁₃₉	—	4	1	no	—
159	C₂²×C₁₃₉	—	8	1	no	—
160	C₂²×C₁₃₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
161	C₂²×C₁₃₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
162	C₂²×C₁₃₉	C₂²×D₄	1	1	yes	characteristic
163	C₂×D₁₃₉	—	2	2	no	—
164	C₂×D₁₃₉	—	4	2	no	—
165	C₂×D₁₃₉	—	8	4	no	—
166	C₂×D₁₃₉	—	8	1	no	—
167	C₂×D₁₃₉	C₂×C₂²⋊C₄	1	4	yes	—
168	C₄×C₁₃₉	—	2	2	no	—
169	C₄×C₁₃₉	—	4	2	no	—
170	C₄×C₁₃₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
171	C₄×C₁₃₉	C₂×C₂²⋊C₄	1	1	yes	characteristic
172	C₄×C₁₃₉	C₂³×C₄	1	1	yes	characteristic
173	C₄×C₁₃₉	C₂²×D₄	1	1	yes	characteristic
174	Dic₁₃₉	—	2	2	no	—
175	Dic₁₃₉	—	2	2	no	—
176	Dic₁₃₉	—	4	1	no	—
177	Dic₁₃₉	C₂×C₂²⋊C₄	1	4	yes	—
178	C₂×C₁₃₉	—	2	1	no	—
179	C₂×C₁₃₉	—	2	1	no	—
180	C₂×C₁₃₉	—	2	1	no	—
181	C₂×C₁₃₉	—	4	2	no	—
182	C₂×C₁₃₉	C₂²×C₂²⋊C₄	1	1	yes	characteristic
183	D₁₃₉	—	2	4	no	—
184	D₁₃₉	—	4	2	no	—
185	C₁₃₉	#2901	1	1	yes	characteristic, complemented, Sylow
186	#2901	—	139	1	no	maximal, Sylow
187	#585	—	139	1	no	—
188	#568	—	139	1	no	—
189	C₄×#41	—	139	1	no	—
190	#421	—	139	1	no	—
191	#421	—	139	4	no	—
192	#421	D₁₃₉	1	1	yes	characteristic, complemented
193	C₂×#104	—	139	1	no	—
194	C₂×#104	—	139	1	no	—
195	C₂×#104	—	139	4	no	—
196	2₋¹⁺⁴	—	278	1	no	—
197	2₋¹⁺⁴	—	139	2	no	—
198	2₋¹⁺⁴	—	139	2	no	—
199	H(5,𝔽₂)	—	278	2	no	—
200	H(5,𝔽₂)	—	278	1	no	—
201	H(5,𝔽₂)	—	139	2	no	—
202	H(5,𝔽₂)	—	139	2	no	—
203	C₂×#41	—	278	2	no	—
204	C₂×#41	—	278	2	no	—
205	C₂×#41	—	139	4	no	—
206	C₂×#41	—	139	1	no	—
207	C₂×#41	—	139	1	no	—
208	C₂×#41	C₂×D₁₃₉	1	1	yes	characteristic
209	#131	—	278	2	no	—
210	#131	—	278	2	no	—
211	C₂×M₁₆	—	139	1	no	—
212	C₂×M₁₆	—	139	4	no	—
213	C₂×M₁₆	C₂×D₁₃₉	1	1	yes	characteristic, complemented
214	C₄×Q₈	—	278	1	no	—
215	C₄×D₄	—	278	2	no	—
216	C₄×D₄	—	278	1	no	—
217	#117	—	139	2	no	—
218	#117	C₂×D₁₃₉	1	1	yes	characteristic, complemented
219	C₂×C₄²	—	139	1	no	—
220	C₂×C₄²	—	139	2	no	—
221	#104	—	139	2	no	—
222	#104	—	139	2	no	—
223	#104	—	139	2	no	—
224	#104	—	139	2	no	—
225	#104	—	139	4	no	—
226	#104	C₂×D₁₃₉	1	4	yes	complemented
227	#41	—	2	1	no	—
228	#41	—	2	1	no	—
229	#41	—	278	2	no	—
230	#41	—	278	4	no	—
231	#41	—	278	2	no	—
232	#41	—	278	4	no	—
233	#41	—	278	2	no	—
234	#41	—	278	4	no	—
235	#41	—	278	2	no	—
236	#41	—	278	4	no	—
237	#41	—	278	1	no	—
238	#41	—	278	1	no	—
239	#41	—	139	4	no	—
240	#41	—	139	4	no	—
241	#41	—	139	2	no	—
242	#41	—	139	2	no	—
243	#41	—	139	2	no	—
244	#41	—	139	2	no	—
245	#41	—	139	2	no	—
246	#41	—	139	2	no	—
247	#41	C₄×D₁₃₉	1	2	yes	complemented
248	#41	C₂²×D₁₃₉	1	2	yes	—
249	C₂×Q₈	—	278	2	no	—
250	C₂×Q₈	—	278	2	no	—
251	C₂×Q₈	—	139	4	no	—
252	C₂×Q₈	—	139	1	no	—
253	C₂×Q₈	—	139	1	no	—
254	C₂×Q₈	C₄×D₁₃₉	1	1	yes	characteristic, complemented
255	C₂×D₄	—	2	1	no	—
256	C₂×D₄	—	278	2	no	—
257	C₂×D₄	—	278	4	no	—
258	C₂×D₄	—	278	4	no	—
259	C₂×D₄	—	278	2	no	—
260	C₂×D₄	—	278	1	no	—
261	C₂×D₄	—	278	4	no	—
262	C₂×D₄	—	139	4	no	—
263	C₂×D₄	—	139	2	no	—
264	C₂×D₄	—	139	1	no	—
265	C₂×D₄	—	139	1	no	—
266	C₂×D₄	C₄×D₁₃₉	1	1	yes	characteristic, complemented
267	C₂²×C₄	—	2	1	no	—
268	C₂²×C₄	—	278	4	no	—
269	C₂²×C₄	—	278	2	no	—
270	C₂²×C₄	—	278	1	no	—
271	C₂²×C₄	—	278	1	no	—
272	C₂²×C₄	—	139	2	no	—
273	C₂²×C₄	C₂²×D₁₃₉	1	1	yes	characteristic
274	M₁₆	—	2	1	no	—
275	M₁₆	—	278	4	no	—
276	M₁₆	—	278	1	no	—
277	M₁₆	—	139	2	no	—
278	M₁₆	C₂²×D₁₃₉	1	2	yes	—
279	C₂×C₈	—	2	1	no	—
280	C₂×C₈	—	278	4	no	—
281	C₂×C₈	—	278	1	no	—
282	C₄⋊C₄	—	2	1	no	—
283	C₄⋊C₄	—	278	2	no	—
284	C₂²⋊C₄	—	2	1	no	—
285	C₂²⋊C₄	—	278	2	no	—
286	C₄²	—	278	2	no	—
287	C₄²	—	278	1	no	—
288	C₄²	—	139	1	no	—
289	C₄²	—	139	1	no	—
290	C₄²	C₂²×D₁₃₉	1	2	yes	—
291	C₂³	—	2	1	no	—
292	C₂³	—	278	4	no	—
293	C₂³	—	278	1	no	—
294	C₂³	—	139	2	no	—
295	C₂³	D₄×D₁₃₉	1	1	yes	characteristic
296	Q₈	—	2	1	no	—
297	Q₈	—	278	4	no	—
298	Q₈	—	278	1	no	—
299	Q₈	—	139	2	no	—
300	Q₈	—	139	2	no	—
301	Q₈	—	139	2	no	—
302	Q₈	C₂×C₄×D₁₃₉	1	2	yes	—
303	D₄	—	2	2	no	—
304	D₄	—	2	2	no	—
305	D₄	—	2	1	no	—
306	D₄	—	278	4	no	—
307	D₄	—	278	4	no	—
308	D₄	—	278	2	no	—
309	D₄	—	278	2	no	—
310	D₄	—	278	4	no	—
311	D₄	—	278	1	no	—
312	D₄	—	139	4	no	—
313	D₄	—	139	4	no	—
314	D₄	—	139	2	no	—
315	D₄	—	139	2	no	—
316	D₄	—	139	2	no	—
317	D₄	C₂×C₄×D₁₃₉	1	2	yes	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	2	2	no	—
320	C₂×C₄	—	2	2	no	—
321	C₂×C₄	—	2	2	no	—
322	C₂×C₄	—	278	4	no	—
323	C₂×C₄	—	278	4	no	—
324	C₂×C₄	—	278	1	no	—
325	C₂×C₄	—	278	1	no	—
326	C₂×C₄	—	278	4	no	—
327	C₂×C₄	—	278	2	no	—
328	C₂×C₄	—	278	2	no	—
329	C₂×C₄	—	278	1	no	—
330	C₂×C₄	—	556	4	no	—
331	C₂×C₄	—	556	2	no	—
332	C₂×C₄	—	139	2	no	—
333	C₂×C₄	—	139	4	no	—
334	C₂×C₄	—	139	4	no	—
335	C₂×C₄	C₂×C₄×D₁₃₉	1	1	yes	characteristic
336	C₂×C₄	C₂×C₄×D₁₃₉	1	1	yes	characteristic
337	C₂×C₄	D₄×D₁₃₉	1	1	yes	characteristic
338	C₂×C₄	D₄×D₁₃₉	1	1	yes	characteristic
339	C₂×C₄	D₄×D₁₃₉	1	1	yes	characteristic
340	C₂×C₄	C₂³×D₁₃₉	1	1	yes	characteristic
341	C₈	—	2	2	no	—
342	C₈	—	278	2	no	—
343	C₂²	—	2	2	no	—
344	C₂²	—	4	1	no	—
345	C₂²	—	8	1	no	—
346	C₂²	—	278	2	no	—
347	C₂²	—	556	2	no	—
348	C₂²	—	1112	1	no	—
349	C₂²	—	1112	4	no	—
350	C₂²	—	139	4	no	—
351	C₂²	C₂²⋊C₄×D₁₃₉	1	1	yes	characteristic
352	C₂²	C₂²⋊C₄×D₁₃₉	1	1	yes	characteristic
353	C₂²	C₂×D₄×D₁₃₉	1	1	yes	characteristic
354	C₄	—	2	2	no	—
355	C₄	—	4	2	no	—
356	C₄	—	278	2	no	—
357	C₄	—	278	2	no	—
358	C₄	—	556	1	no	—
359	C₄	—	139	4	no	—
360	C₄	C₂²⋊C₄×D₁₃₉	1	1	yes	characteristic
361	C₄	C₂²⋊C₄×D₁₃₉	1	1	yes	characteristic
362	C₄	C₂²×C₄×D₁₃₉	1	1	yes	characteristic
363	C₄	C₂×D₄×D₁₃₉	1	1	yes	characteristic
364	C₂	—	2	1	no	—
365	C₂	—	2	1	no	—
366	C₂	—	2	1	no	—
367	C₂	—	4	2	no	—
368	C₂	—	278	4	no	—
369	C₂	—	556	2	no	—
370	C₂	C₂×C₂²⋊C₄×D₁₃₉	1	1	yes	characteristic

	subgroup	G/H
center	C₄	C₂×D₄×D₁₃₉
commutator	C₄×C₁₃₉	C₂³×C₄
Frattini	C₂×C₄	C₂³×D₁₃₉
Fitting	#421×C₁₃₉	C₂
socle	C₂×C₁₃₉	C₂²×C₂²⋊C₄
prime radical	#22581789	C₂
cosocle	C₂×C₄×C₁₃₉	C₂⁴
hypercenter	#421	D₁₃₉
hypocenter	C₁₃₉	#2901
LCS	G ▷ C₄×C₁₃₉ ▷ C₂×C₁₃₉ ▷ C₁₃₉
UCS	C₁ ◁ C₄ ◁ C₂²×C₄ ◁ #421

Complements

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

N	H ≅ G/N	type
2. #22581719	C₂	semidirect
3. #22581421	C₂	semidirect
4. #22580971	C₂	semidirect
5. #22580968	C₂	semidirect
6. C₂×#17984769	C₂	semidirect
7. C₂×#17984768	C₂	semidirect
8. #104×D₁₃₉	C₂	semidirect
9. #421×C₁₃₉	C₂	semidirect
10. #17984890	C₄	semidirect
12. #17984889	C₄	semidirect
14. #17984888	C₄	semidirect
16. #17984887	C₄	semidirect
24. C₂×#14555769	C₂²	semidirect
25. M₁₆×D₁₃₉	C₂²	semidirect
29. #17984799	C₂²	semidirect
30. C₂×C₄×Dic₁₃₉	C₂²	semidirect
31. C₄²×D₁₃₉	C₂²	semidirect
32. #17984770	C₂²	semidirect
33. #17984769	C₂²	semidirect
34. #17984769	C₂²	semidirect
35. #17984768	C₂²	semidirect
36. #17984768	C₂²	semidirect
38. C₂×M₁₆×C₁₃₉	C₂²	semidirect
39. #117×C₁₃₉	C₂²	semidirect
40. #104×C₁₃₉	C₂²	semidirect
42. #14555786	C₂×C₄	semidirect
51. #14555785	C₂×C₄	semidirect
58. #14555784	C₂×C₄	semidirect
60. C₂×Dic₂₇₈	C₂×C₄	semidirect
63. Q₈×D₁₃₉	C₂×C₄	semidirect
65. C₂×D₅₅₆	C₂×C₄	semidirect
73. D₄×D₁₃₉	C₂×C₄	semidirect
92. #41×C₁₃₉	C₂×C₄	semidirect
94. C₂×Q₈×C₁₃₉	C₂×C₄	semidirect
96. C₂×D₄×C₁₃₉	C₂×C₄	semidirect
185. C₁₃₉	#2901	semidirect
192. #421	D₁₃₉	semidirect
213. C₂×M₁₆	C₂×D₁₃₉	semidirect
218. #117	C₂×D₁₃₉	semidirect
226. #104	C₂×D₁₃₉	semidirect
247. #41	C₄×D₁₃₉	semidirect
254. C₂×Q₈	C₄×D₁₃₉	semidirect
266. C₂×D₄	C₄×D₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
#22581789	2
#22581719	2
#22581421	2
#22580971	2
#22580968	2
C₂×#17984769	2
C₂×#17984768	2
#104×D₁₃₉	2
#421×C₁₃₉	2
#2901	139