Subgroups — #31821177

Order 17792.

1424 conjugacy classes of subgroups.

The subgroup lattice has 376 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22581789	C₂	1	2	yes	maximal, complemented
2	#22581769	C₂	1	4	yes	maximal, complemented
3	#22581763	C₂	1	4	yes	maximal, complemented
4	#22581762	C₂	1	4	yes	maximal, complemented
5	#22581757	C₂	1	4	yes	maximal, complemented
6	#22581753	C₂	1	1	yes	maximal, characteristic, complemented
7	#22581750	C₂	1	4	yes	maximal, complemented
8	C₂×#17984862	C₂	1	2	yes	maximal, complemented
9	#135×D₁₃₉	C₂	1	4	yes	maximal, complemented
10	C₂×#17984850	C₂	1	1	yes	maximal, characteristic, complemented
11	#575×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
12	#17984890	C₂²	1	4	yes	complemented
13	#17984889	—	2	2	no	—
14	#17984889	C₂²	1	4	yes	complemented
15	#17984888	—	2	2	no	—
16	#17984888	C₂²	1	4	yes	complemented
17	#17984887	—	2	4	no	—
18	#17984887	C₂²	1	4	yes	complemented
19	C₂×#14555785	—	2	4	no	—
20	C₂×#14555785	C₂²	1	1	yes	characteristic
21	C₂×#14555785	C₂²	1	2	yes	complemented
22	#41×D₁₃₉	—	2	4	no	—
23	#41×D₁₃₉	C₂²	1	8	yes	complemented
24	#17984875	C₂²	1	4	yes	complemented
25	#17984874	C₂²	1	8	yes	complemented
26	#17984871	C₂²	1	8	yes	complemented
27	#17984870	C₂²	1	4	yes	complemented
28	#17984869	C₂²	1	8	yes	complemented
29	#17984866	C₂²	1	8	yes	complemented
30	#17984865	C₂²	1	4	yes	complemented
31	#17984864	C₂²	1	4	yes	complemented
32	#17984863	C₂²	1	8	yes	complemented
33	#17984862	C₂²	1	4	yes	complemented
34	#17984862	C₂²	1	4	yes	complemented
35	#17984862	C₂²	1	4	yes	complemented
36	#17984862	C₂²	1	4	yes	complemented
37	#17984861	C₂²	1	4	yes	complemented
38	C₂×#14555775	C₂²	1	2	yes	complemented
39	Q₁₆×D₁₃₉	C₂²	1	4	yes	complemented
40	C₂×#14555773	C₂²	1	2	yes	complemented
41	C₂×#14555772	C₂²	1	2	yes	complemented
42	SD₁₆×D₁₃₉	C₂²	1	8	yes	complemented
43	C₂×#14555770	C₂²	1	2	yes	complemented
44	D₈×D₁₃₉	C₂²	1	4	yes	complemented
45	#17984850	C₂²	1	4	yes	complemented
46	#17984850	C₂²	1	4	yes	complemented
47	C₂×#14555768	C₂²	1	2	yes	complemented
48	C₂²×C₁₃₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₈×D₁₃₉	C₂²	1	2	yes	complemented
50	C₂×#41×C₁₃₉	C₂²	1	2	yes	complemented
51	#137×C₁₃₉	C₂²	1	4	yes	complemented
52	AGL(1,ℤ/8)×C₁₃₉	C₂²	1	4	yes	complemented
53	#135×C₁₃₉	C₂²	1	4	yes	complemented
54	C₂×M₁₆×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
55	#14555786	—	2	4	no	—
56	#14555786	C₂³	1	8	yes	—
57	#14555785	—	2	4	no	—
58	#14555785	—	2	4	no	—
59	#14555785	—	2	8	no	—
60	#14555785	—	2	8	no	—
61	#14555785	—	2	2	no	—
62	#14555785	—	2	2	no	—
63	#14555785	D₄	1	4	yes	—
64	#14555785	C₂³	1	4	yes	—
65	#14555785	C₂³	1	4	yes	—
66	#14555785	C₂³	1	4	yes	—
67	#14555784	—	2	4	no	—
68	#14555784	—	2	8	no	—
69	#14555784	—	2	8	no	—
70	#14555784	C₂³	1	8	yes	—
71	C₂×Dic₂₇₈	—	2	4	no	—
72	C₂×Dic₂₇₈	D₄	1	1	yes	characteristic
73	C₂×Dic₂₇₈	C₂³	1	2	yes	—
74	Q₈×D₁₃₉	—	2	4	no	—
75	Q₈×D₁₃₉	C₂³	1	8	yes	—
76	C₂×D₅₅₆	—	2	4	no	—
77	C₂×D₅₅₆	D₄	1	1	yes	characteristic
78	C₂×D₅₅₆	C₂³	1	2	yes	—
79	C₂×C₂²⋊D₁₃₉	—	2	8	no	—
80	C₂×C₂²⋊D₁₃₉	—	2	2	no	—
81	C₂×C₂²⋊D₁₃₉	D₄	1	2	yes	—
82	D₄×D₁₃₉	—	2	8	no	—
83	D₄×D₁₃₉	—	2	4	no	—
84	D₄×D₁₃₉	—	2	8	no	—
85	D₄×D₁₃₉	C₂³	1	8	yes	—
86	C₂×C₄×D₁₃₉	—	2	8	no	—
87	C₂×C₄×D₁₃₉	—	2	2	no	—
88	C₂×C₄×D₁₃₉	C₂³	1	2	yes	—
89	Dic₅₅₆	C₂³	1	4	yes	—
90	#14555775	C₂³	1	4	yes	—
91	#14555775	C₂³	1	4	yes	—
92	#14555774	C₂³	1	8	yes	—
93	#14555773	C₂³	1	4	yes	—
94	#14555773	C₂³	1	4	yes	—
95	#14555772	C₂³	1	4	yes	—
96	#14555772	C₂³	1	4	yes	—
97	D₁₁₁₂	C₂³	1	4	yes	—
98	#14555770	C₂³	1	4	yes	—
99	#14555770	C₂³	1	4	yes	—
100	#14555768	C₂³	1	8	yes	—
101	C₂×C₁₃₉⋊C₈	C₂³	1	1	yes	characteristic
102	C₂×C₁₃₉⋊C₈	C₂³	1	1	yes	characteristic
103	C₂×C₁₃₉⋊C₈	C₂³	1	2	yes	—
104	C₂×C₁₃₉⋊C₈	C₂³	1	2	yes	—
105	C₈×D₁₃₉	C₂³	1	4	yes	—
106	C₈×D₁₃₉	C₂³	1	4	yes	—
107	#41×C₁₃₉	—	2	2	no	—
108	#41×C₁₃₉	—	2	2	no	—
109	#41×C₁₃₉	C₂³	1	4	yes	—
110	#41×C₁₃₉	C₂³	1	4	yes	—
111	C₂×Q₈×C₁₃₉	C₂³	1	2	yes	—
112	C₂×D₄×C₁₃₉	—	2	2	no	—
113	C₂×D₄×C₁₃₉	C₂³	1	2	yes	—
114	C₂²×C₄×C₁₃₉	—	2	2	no	—
115	C₂²×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
116	Q₁₆×C₁₃₉	C₂³	1	4	yes	—
117	SD₁₆×C₁₃₉	C₂³	1	8	yes	—
118	D₈×C₁₃₉	C₂³	1	4	yes	—
119	M₁₆×C₁₃₉	C₂³	1	4	yes	—
120	C₂×C₈×C₁₃₉	C₂³	1	2	yes	—
121	C₂²×D₁₃₉	—	2	2	no	—
122	C₂²×D₁₃₉	—	2	8	no	—
123	C₂²×D₁₃₉	C₂×D₄	1	2	yes	—
124	Dic₂₇₈	—	2	2	no	—
125	Dic₂₇₈	—	2	8	no	—
126	Dic₂₇₈	C₂×D₄	1	4	yes	—
127	Dic₂₇₈	C₂⁴	1	4	yes	—
128	D₅₅₆	—	2	8	no	—
129	D₅₅₆	—	2	2	no	—
130	D₅₅₆	C₂×D₄	1	4	yes	—
131	D₅₅₆	C₂⁴	1	4	yes	—
132	C₂²⋊D₁₃₉	—	2	4	no	—
133	C₂²⋊D₁₃₉	—	2	4	no	—
134	C₂²⋊D₁₃₉	—	2	8	no	—
135	C₂²⋊D₁₃₉	—	2	8	no	—
136	C₂²⋊D₁₃₉	C₂×D₄	1	8	yes	—
137	C₂×Dic₁₃₉	—	2	2	no	—
138	C₂×Dic₁₃₉	—	2	8	no	—
139	C₂×Dic₁₃₉	C₂×D₄	1	2	yes	—
140	C₄×D₁₃₉	—	2	8	no	—
141	C₄×D₁₃₉	—	2	4	no	—
142	C₄×D₁₃₉	—	2	4	no	—
143	C₄×D₁₃₉	—	2	8	no	—
144	C₄×D₁₃₉	C₂×D₄	1	4	yes	—
145	C₄×D₁₃₉	C₂⁴	1	4	yes	—
146	C₁₃₉⋊C₈	C₂⁴	1	1	yes	characteristic
147	C₁₃₉⋊C₈	C₂⁴	1	1	yes	characteristic
148	C₁₃₉⋊C₈	C₂⁴	1	2	yes	—
149	C₂³×C₁₃₉	—	2	2	no	—
150	C₂³×C₁₃₉	C₂×D₄	1	1	yes	characteristic
151	Q₈×C₁₃₉	—	2	2	no	—
152	Q₈×C₁₃₉	C₂⁴	1	4	yes	—
153	D₄×C₁₃₉	—	2	4	no	—
154	D₄×C₁₃₉	—	2	4	no	—
155	D₄×C₁₃₉	—	2	2	no	—
156	D₄×C₁₃₉	C₂⁴	1	4	yes	—
157	C₂×C₄×C₁₃₉	—	2	2	no	—
158	C₂×C₄×C₁₃₉	—	2	4	no	—
159	C₂×C₄×C₁₃₉	—	2	4	no	—
160	C₂×C₄×C₁₃₉	C₂×D₄	1	2	yes	—
161	C₂×C₄×C₁₃₉	C₂×D₄	1	1	yes	characteristic
162	C₂×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
163	C₂×C₄×C₁₃₉	C₂⁴	1	2	yes	—
164	C₈×C₁₃₉	C₂⁴	1	4	yes	—
165	C₂²×C₁₃₉	—	2	4	no	—
166	C₂²×C₁₃₉	—	4	1	no	—
167	C₂²×C₁₃₉	—	8	2	no	—
168	C₂²×C₁₃₉	C₂²×D₄	1	2	yes	—
169	C₂²×C₁₃₉	C₂²×D₄	1	1	yes	characteristic
170	C₂×D₁₃₉	—	2	4	no	—
171	C₂×D₁₃₉	—	4	2	no	—
172	C₂×D₁₃₉	—	8	8	no	—
173	C₂×D₁₃₉	—	8	2	no	—
174	C₂×D₁₃₉	C₂²×D₄	1	4	yes	—
175	C₄×C₁₃₉	—	2	4	no	—
176	C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
177	C₄×C₁₃₉	C₂²×D₄	1	1	yes	characteristic
178	C₄×C₁₃₉	C₂⁵	1	1	yes	characteristic
179	Dic₁₃₉	—	2	4	no	—
180	Dic₁₃₉	C₂²×D₄	1	4	yes	—
181	C₂×C₁₃₉	—	2	1	no	—
182	C₂×C₁₃₉	—	2	2	no	—
183	C₂×C₁₃₉	—	4	4	no	—
184	C₂×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
185	D₁₃₉	—	2	4	no	—
186	D₁₃₉	—	4	4	no	—
187	C₁₃₉	#3584	1	1	yes	characteristic, complemented, Sylow
188	#3584	—	139	1	no	maximal, Sylow
189	#585	—	139	2	no	—
190	#578	—	139	4	no	—
191	#577	—	139	4	no	—
192	#577	—	139	4	no	—
193	#576	—	139	4	no	—
194	#575	—	139	4	no	—
195	#575	—	139	1	no	—
196	#575	D₁₃₉	1	1	yes	characteristic, complemented
197	C₂×#135	—	139	2	no	—
198	C₂×#135	—	139	4	no	—
199	C₂×#131	—	139	1	no	—
200	2₋¹⁺⁴	—	278	2	no	—
201	2₋¹⁺⁴	—	139	4	no	—
202	2₋¹⁺⁴	—	139	4	no	—
203	H(5,𝔽₂)	—	278	4	no	—
204	H(5,𝔽₂)	—	278	2	no	—
205	H(5,𝔽₂)	—	139	4	no	—
206	H(5,𝔽₂)	—	139	4	no	—
207	C₂×#41	—	278	4	no	—
208	C₂×#41	—	278	4	no	—
209	C₂×#41	—	139	8	no	—
210	C₂×#41	—	139	2	no	—
211	C₂×#41	—	139	1	no	—
212	C₂×#41	C₂×D₁₃₉	1	2	yes	complemented
213	#137	—	139	8	no	—
214	#137	—	139	8	no	—
215	#137	—	139	4	no	—
216	#137	C₂×D₁₃₉	1	4	yes	complemented
217	AGL(1,ℤ/8)	—	139	8	no	—
218	AGL(1,ℤ/8)	—	139	8	no	—
219	AGL(1,ℤ/8)	—	139	4	no	—
220	AGL(1,ℤ/8)	C₂×D₁₃₉	1	4	yes	complemented
221	#135	—	139	4	no	—
222	#135	—	139	4	no	—
223	#135	—	139	4	no	—
224	#135	—	139	4	no	—
225	#135	—	139	4	no	—
226	#135	—	139	8	no	—
227	#135	—	139	4	no	—
228	#135	—	139	4	no	—
229	#135	C₂×D₁₃₉	1	4	yes	complemented
230	C₂×Q₁₆	—	139	2	no	—
231	C₂×Q₁₆	—	139	4	no	—
232	C₂×SD₁₆	—	139	2	no	—
233	C₂×SD₁₆	—	139	2	no	—
234	C₂×SD₁₆	—	139	8	no	—
235	C₂×D₈	—	139	2	no	—
236	C₂×D₈	—	139	4	no	—
237	#131	—	139	4	no	—
238	#131	—	139	4	no	—
239	C₂×M₁₆	—	139	2	no	—
240	C₂×M₁₆	C₂×D₁₃₉	1	1	yes	characteristic, complemented
241	C₂²×C₈	—	139	1	no	—
242	C₂²×C₈	—	139	2	no	—
243	#41	—	2	2	no	—
244	#41	—	2	2	no	—
245	#41	—	278	4	no	—
246	#41	—	278	8	no	—
247	#41	—	278	4	no	—
248	#41	—	278	8	no	—
249	#41	—	278	4	no	—
250	#41	—	278	8	no	—
251	#41	—	278	4	no	—
252	#41	—	278	8	no	—
253	#41	—	278	2	no	—
254	#41	—	278	2	no	—
255	#41	—	139	8	no	—
256	#41	—	139	8	no	—
257	#41	—	139	4	no	—
258	#41	—	139	4	no	—
259	#41	—	139	4	no	—
260	#41	—	139	4	no	—
261	#41	C₂²×D₁₃₉	1	4	yes	—
262	#41	C₂²×D₁₃₉	1	4	yes	—
263	C₂×Q₈	—	278	4	no	—
264	C₂×Q₈	—	278	4	no	—
265	C₂×Q₈	—	139	8	no	—
266	C₂×Q₈	—	139	2	no	—
267	C₂×Q₈	—	139	1	no	—
268	C₂×Q₈	C₂²×D₁₃₉	1	2	yes	—
269	C₂×D₄	—	2	2	no	—
270	C₂×D₄	—	278	4	no	—
271	C₂×D₄	—	278	8	no	—
272	C₂×D₄	—	278	8	no	—
273	C₂×D₄	—	278	4	no	—
274	C₂×D₄	—	278	2	no	—
275	C₂×D₄	—	278	8	no	—
276	C₂×D₄	—	139	8	no	—
277	C₂×D₄	—	139	2	no	—
278	C₂×D₄	—	139	1	no	—
279	C₂×D₄	—	139	2	no	—
280	C₂×D₄	C₂²×D₁₃₉	1	2	yes	—
281	C₂²×C₄	—	2	2	no	—
282	C₂²×C₄	—	278	8	no	—
283	C₂²×C₄	—	278	2	no	—
284	C₂²×C₄	—	139	2	no	—
285	C₂²×C₄	C₂²×D₁₃₉	1	1	yes	characteristic
286	Q₁₆	—	139	4	no	—
287	Q₁₆	—	139	4	no	—
288	Q₁₆	—	139	4	no	—
289	Q₁₆	C₂²×D₁₃₉	1	4	yes	—
290	SD₁₆	—	139	4	no	—
291	SD₁₆	—	139	4	no	—
292	SD₁₆	—	139	4	no	—
293	SD₁₆	—	139	4	no	—
294	SD₁₆	—	139	8	no	—
295	SD₁₆	C₂²×D₁₃₉	1	8	yes	—
296	D₈	—	139	4	no	—
297	D₈	—	139	4	no	—
298	D₈	—	139	4	no	—
299	D₈	C₂²×D₁₃₉	1	4	yes	—
300	M₁₆	—	139	8	no	—
301	M₁₆	C₂²×D₁₃₉	1	4	yes	—
302	C₂×C₈	—	139	1	no	—
303	C₂×C₈	—	139	1	no	—
304	C₂×C₈	—	139	2	no	—
305	C₂×C₈	—	139	2	no	—
306	C₂×C₈	—	139	4	no	—
307	C₂×C₈	—	139	4	no	—
308	C₂×C₈	C₂²×D₁₃₉	1	2	yes	—
309	C₂³	—	2	2	no	—
310	C₂³	—	278	8	no	—
311	C₂³	—	278	2	no	—
312	C₂³	—	139	2	no	—
313	C₂³	D₄×D₁₃₉	1	1	yes	characteristic
314	Q₈	—	2	2	no	—
315	Q₈	—	278	8	no	—
316	Q₈	—	278	2	no	—
317	Q₈	—	139	4	no	—
318	Q₈	—	139	4	no	—
319	Q₈	C₂³×D₁₃₉	1	4	yes	—
320	D₄	—	2	4	no	—
321	D₄	—	2	4	no	—
322	D₄	—	2	2	no	—
323	D₄	—	278	8	no	—
324	D₄	—	278	8	no	—
325	D₄	—	278	4	no	—
326	D₄	—	278	4	no	—
327	D₄	—	278	8	no	—
328	D₄	—	278	2	no	—
329	D₄	—	139	8	no	—
330	D₄	—	139	4	no	—
331	D₄	—	139	4	no	—
332	D₄	C₂³×D₁₃₉	1	4	yes	—
333	C₂×C₄	—	2	2	no	—
334	C₂×C₄	—	2	4	no	—
335	C₂×C₄	—	2	4	no	—
336	C₂×C₄	—	278	8	no	—
337	C₂×C₄	—	278	8	no	—
338	C₂×C₄	—	278	2	no	—
339	C₂×C₄	—	278	8	no	—
340	C₂×C₄	—	278	4	no	—
341	C₂×C₄	—	278	4	no	—
342	C₂×C₄	—	139	2	no	—
343	C₂×C₄	—	139	4	no	—
344	C₂×C₄	—	139	4	no	—
345	C₂×C₄	D₄×D₁₃₉	1	1	yes	characteristic
346	C₂×C₄	D₄×D₁₃₉	1	2	yes	—
347	C₂×C₄	C₂³×D₁₃₉	1	2	yes	—
348	C₂×C₄	C₂³×D₁₃₉	1	1	yes	characteristic
349	C₈	—	139	1	no	—
350	C₈	—	139	1	no	—
351	C₈	—	139	2	no	—
352	C₈	C₂³×D₁₃₉	1	4	yes	—
353	C₂²	—	2	4	no	—
354	C₂²	—	4	1	no	—
355	C₂²	—	8	2	no	—
356	C₂²	—	278	4	no	—
357	C₂²	—	556	2	no	—
358	C₂²	—	1112	2	no	—
359	C₂²	—	1112	8	no	—
360	C₂²	—	139	4	no	—
361	C₂²	C₂×D₄×D₁₃₉	1	2	yes	—
362	C₂²	C₂×D₄×D₁₃₉	1	1	yes	characteristic
363	C₄	—	2	4	no	—
364	C₄	—	278	4	no	—
365	C₄	—	139	4	no	—
366	C₄	C₂×D₄×D₁₃₉	1	2	yes	—
367	C₄	C₂×D₄×D₁₃₉	1	1	yes	characteristic
368	C₄	C₂⁴×D₁₃₉	1	1	yes	characteristic
369	C₂	—	2	2	no	—
370	C₂	—	2	1	no	—
371	C₂	—	4	4	no	—
372	C₂	—	278	4	no	—
373	C₂	—	556	4	no	—
374	C₂	C₂²×D₄×D₁₃₉	1	1	yes	characteristic

	subgroup	G/H
center	C₄	C₂×D₄×D₁₃₉
commutator, cosocle	C₄×C₁₃₉	C₂⁵
Frattini	C₄	C₂⁴×D₁₃₉
Fitting	#575×C₁₃₉	C₂
socle	C₂×C₁₃₉	C₂³×D₄
hypercenter	#575	D₁₃₉
hypocenter	C₁₃₉	#3584
LCS	G ▷ C₄×C₁₃₉ ▷ C₂×C₁₃₉ ▷ C₁₃₉
UCS	C₁ ◁ C₄ ◁ C₂²×C₄ ◁ #575

Complements

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

N	H ≅ G/N	type
1. #22581789	C₂	semidirect
2. #22581769	C₂	semidirect
3. #22581763	C₂	semidirect
4. #22581762	C₂	semidirect
5. #22581757	C₂	semidirect
6. #22581753	C₂	semidirect
7. #22581750	C₂	semidirect
8. C₂×#17984862	C₂	semidirect
9. #135×D₁₃₉	C₂	semidirect
10. C₂×#17984850	C₂	semidirect
11. #575×C₁₃₉	C₂	semidirect
12. #17984890	C₂²	semidirect
14. #17984889	C₂²	semidirect
16. #17984888	C₂²	semidirect
18. #17984887	C₂²	semidirect
21. C₂×#14555785	C₂²	semidirect
23. #41×D₁₃₉	C₂²	semidirect
24. #17984875	C₂²	semidirect
25. #17984874	C₂²	semidirect
26. #17984871	C₂²	semidirect
27. #17984870	C₂²	semidirect
28. #17984869	C₂²	semidirect
29. #17984866	C₂²	semidirect
30. #17984865	C₂²	semidirect
31. #17984864	C₂²	semidirect
32. #17984863	C₂²	semidirect
33. #17984862	C₂²	semidirect
34. #17984862	C₂²	semidirect
35. #17984862	C₂²	semidirect
36. #17984862	C₂²	semidirect
37. #17984861	C₂²	semidirect
38. C₂×#14555775	C₂²	semidirect
39. Q₁₆×D₁₃₉	C₂²	semidirect
40. C₂×#14555773	C₂²	semidirect
41. C₂×#14555772	C₂²	semidirect
42. SD₁₆×D₁₃₉	C₂²	semidirect
43. C₂×#14555770	C₂²	semidirect
44. D₈×D₁₃₉	C₂²	semidirect
45. #17984850	C₂²	semidirect
46. #17984850	C₂²	semidirect
47. C₂×#14555768	C₂²	semidirect
48. C₂²×C₁₃₉⋊C₈	C₂²	semidirect
49. C₂×C₈×D₁₃₉	C₂²	semidirect
50. C₂×#41×C₁₃₉	C₂²	semidirect
51. #137×C₁₃₉	C₂²	semidirect
52. AGL(1,ℤ/8)×C₁₃₉	C₂²	semidirect
53. #135×C₁₃₉	C₂²	semidirect
54. C₂×M₁₆×C₁₃₉	C₂²	semidirect
187. C₁₃₉	#3584	semidirect
196. #575	D₁₃₉	semidirect
212. C₂×#41	C₂×D₁₃₉	semidirect
216. #137	C₂×D₁₃₉	semidirect
220. AGL(1,ℤ/8)	C₂×D₁₃₉	semidirect
229. #135	C₂×D₁₃₉	semidirect
240. C₂×M₁₆	C₂×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
#22581769	2
#22581763	2
#22581762	2
#22581757	2
#22581753	2
#22581750	2
C₂×#17984862	2
#135×D₁₃₉	2
C₂×#17984850	2
#575×C₁₃₉	2
#3584	139