Subgroups — C₂×#2430×C₁₃₉ #48029326

Order 35584.

6042 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×#41×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#123×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×#121×C₁₃₉	C₂	1	2	yes	maximal, complemented
4	#2430×C₁₃₉	C₂	1	16	yes	maximal, direct product factor
5	C₂×#395×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#394×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#393×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#392×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#386×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	C₂×#386×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	C₂×#385×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	C₂²×#95×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂²×#41×C₁₃₉	—	2	16	no	—
14	C₂²×#41×C₁₃₉	—	2	8	no	—
15	C₂²×#41×C₁₃₉	C₂²	1	8	yes	complemented
16	C₂³×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
17	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
18	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
19	C₂³×D₄×C₁₃₉	C₂²	1	2	yes	—
20	C₂³×D₄×C₁₃₉	C₂²	1	2	yes	—
21	C₂⁴×C₄×C₁₃₉	C₂²	1	2	yes	—
22	C₂⁴×C₄×C₁₃₉	C₂²	1	2	yes	—
23	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic
24	C₂×#123×C₁₃₉	—	2	8	no	—
25	C₂×#123×C₁₃₉	C₂²	1	8	yes	complemented
26	C₂×#121×C₁₃₉	—	2	16	no	—
27	C₂×#121×C₁₃₉	C₂²	1	16	yes	complemented
28	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
29	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
30	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
31	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
32	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
33	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
34	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
35	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
36	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
38	#395×C₁₃₉	C₂²	1	8	yes	complemented
39	#394×C₁₃₉	C₂²	1	8	yes	complemented
40	#393×C₁₃₉	C₂²	1	8	yes	complemented
41	#392×C₁₃₉	C₂²	1	8	yes	complemented
42	#386×C₁₃₉	C₂²	1	16	yes	complemented
43	#386×C₁₃₉	C₂²	1	16	yes	complemented
44	#385×C₁₃₉	C₂²	1	16	yes	complemented
45	C₂×#95×C₁₃₉	C₂²	1	2	yes	—
46	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic
47	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic
48	C₂×#95×C₁₃₉	C₂²	1	2	yes	—
49	C₂×#95×C₁₃₉	C₂²	1	2	yes	—
50	C₂×#95×C₁₃₉	C₂²	1	8	yes	complemented
51	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
52	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
53	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
54	C₂×#41×C₁₃₉	—	2	128	no	—
55	C₂×#41×C₁₃₉	—	2	64	no	—
56	C₂×#41×C₁₃₉	—	2	32	no	—
57	C₂²×Q₈×C₁₃₉	—	2	8	no	—
58	C₂²×Q₈×C₁₃₉	—	2	4	no	—
59	C₂²×Q₈×C₁₃₉	C₂³	1	4	yes	—
60	C₂²×D₄×C₁₃₉	—	2	8	no	—
61	C₂²×D₄×C₁₃₉	—	2	8	no	—
62	C₂²×D₄×C₁₃₉	—	2	8	no	—
63	C₂²×D₄×C₁₃₉	—	2	8	no	—
64	C₂²×D₄×C₁₃₉	—	2	8	no	—
65	C₂²×D₄×C₁₃₉	—	2	4	no	—
66	C₂²×D₄×C₁₃₉	—	2	4	no	—
67	C₂²×D₄×C₁₃₉	—	2	8	no	—
68	C₂²×D₄×C₁₃₉	—	4	4	no	—
69	C₂²×D₄×C₁₃₉	D₄	1	16	yes	complemented
70	C₂²×D₄×C₁₃₉	C₂³	1	4	yes	—
71	C₂²×D₄×C₁₃₉	C₂³	1	4	yes	—
72	C₂²×D₄×C₁₃₉	C₂³	1	8	yes	—
73	C₂²×D₄×C₁₃₉	C₂³	1	8	yes	—
74	C₂³×C₄×C₁₃₉	—	2	8	no	—
75	C₂³×C₄×C₁₃₉	—	2	8	no	—
76	C₂³×C₄×C₁₃₉	—	2	8	no	—
77	C₂³×C₄×C₁₃₉	—	2	8	no	—
78	C₂³×C₄×C₁₃₉	—	2	8	no	—
79	C₂³×C₄×C₁₃₉	—	2	8	no	—
80	C₂³×C₄×C₁₃₉	—	4	4	no	—
81	C₂³×C₄×C₁₃₉	D₄	1	8	yes	complemented
82	C₂³×C₄×C₁₃₉	C₂³	1	8	yes	—
83	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
84	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
85	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
86	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
87	C₂³×C₄×C₁₃₉	C₂³	1	8	yes	—
88	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
89	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
90	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
91	C₂³×C₄×C₁₃₉	C₂³	1	4	yes	—
92	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
93	#123×C₁₃₉	—	2	32	no	—
94	#121×C₁₃₉	—	2	64	no	—
95	C₂×C₄⋊C₄×C₁₃₉	—	2	8	no	—
96	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
97	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
98	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	8	yes	—
99	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	4	yes	—
100	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	4	yes	—
101	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
102	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
103	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
104	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
105	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
106	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
107	C₂×C₂²⋊C₄×C₁₃₉	—	4	4	no	—
108	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	8	yes	—
109	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	8	yes	—
110	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
111	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
112	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
113	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	8	yes	—
114	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	8	yes	—
115	#95×C₁₃₉	C₂³	1	4	yes	—
116	#95×C₁₃₉	C₂³	1	8	yes	—
117	#95×C₁₃₉	C₂³	1	8	yes	—
118	#95×C₁₃₉	C₂³	1	4	yes	—
119	#95×C₁₃₉	C₂³	1	8	yes	—
120	C₂⁴×C₁₃₉	—	2	4	no	—
121	C₂⁴×C₁₃₉	—	2	2	no	—
122	C₂⁴×C₁₃₉	—	2	2	no	—
123	C₂⁴×C₁₃₉	—	2	4	no	—
124	C₂⁴×C₁₃₉	—	2	4	no	—
125	C₂⁴×C₁₃₉	—	2	4	no	—
126	C₂⁴×C₁₃₉	—	2	4	no	—
127	C₂⁴×C₁₃₉	—	2	4	no	—
128	C₂⁴×C₁₃₉	—	2	4	no	—
129	C₂⁴×C₁₃₉	—	2	2	no	—
130	C₂⁴×C₁₃₉	—	2	4	no	—
131	C₂⁴×C₁₃₉	—	2	4	no	—
132	C₂⁴×C₁₃₉	—	2	2	no	—
133	C₂⁴×C₁₃₉	—	2	2	no	—
134	C₂⁴×C₁₃₉	C₂×D₄	1	8	yes	—
135	C₂⁴×C₁₃₉	C₂×D₄	1	4	yes	—
136	C₂⁴×C₁₃₉	C₂×D₄	1	8	yes	—
137	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
138	C₂⁴×C₁₃₉	C₂⁴	1	4	yes	—
139	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
140	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
141	#41×C₁₃₉	—	2	256	no	—
142	C₂×Q₈×C₁₃₉	—	2	32	no	—
143	C₂×Q₈×C₁₃₉	—	2	16	no	—
144	C₂×Q₈×C₁₃₉	—	2	8	no	—
145	C₂×D₄×C₁₃₉	—	2	32	no	—
146	C₂×D₄×C₁₃₉	—	2	64	no	—
147	C₂×D₄×C₁₃₉	—	2	16	no	—
148	C₂×D₄×C₁₃₉	—	2	16	no	—
149	C₂×D₄×C₁₃₉	—	2	16	no	—
150	C₂×D₄×C₁₃₉	—	2	16	no	—
151	C₂×D₄×C₁₃₉	—	2	16	no	—
152	C₂×D₄×C₁₃₉	—	2	8	no	—
153	C₂×D₄×C₁₃₉	—	2	8	no	—
154	C₂×D₄×C₁₃₉	—	2	16	no	—
155	C₂×D₄×C₁₃₉	—	4	8	no	—
156	C₂×D₄×C₁₃₉	—	4	32	no	—
157	C₂×D₄×C₁₃₉	—	4	16	no	—
158	C₂×D₄×C₁₃₉	C₂×D₄	1	32	yes	complemented
159	C₂²×C₄×C₁₃₉	—	2	64	no	—
160	C₂²×C₄×C₁₃₉	—	2	32	no	—
161	C₂²×C₄×C₁₃₉	—	2	4	no	—
162	C₂²×C₄×C₁₃₉	—	2	4	no	—
163	C₂²×C₄×C₁₃₉	—	2	4	no	—
164	C₂²×C₄×C₁₃₉	—	2	4	no	—
165	C₂²×C₄×C₁₃₉	—	2	4	no	—
166	C₂²×C₄×C₁₃₉	—	2	16	no	—
167	C₂²×C₄×C₁₃₉	—	2	16	no	—
168	C₂²×C₄×C₁₃₉	—	2	4	no	—
169	C₂²×C₄×C₁₃₉	—	2	16	no	—
170	C₂²×C₄×C₁₃₉	—	2	16	no	—
171	C₂²×C₄×C₁₃₉	—	2	2	no	—
172	C₂²×C₄×C₁₃₉	—	2	2	no	—
173	C₂²×C₄×C₁₃₉	—	2	4	no	—
174	C₂²×C₄×C₁₃₉	—	2	4	no	—
175	C₂²×C₄×C₁₃₉	—	2	2	no	—
176	C₂²×C₄×C₁₃₉	—	2	16	no	—
177	C₂²×C₄×C₁₃₉	—	2	4	no	—
178	C₂²×C₄×C₁₃₉	—	2	4	no	—
179	C₂²×C₄×C₁₃₉	—	2	2	no	—
180	C₂²×C₄×C₁₃₉	—	2	4	no	—
181	C₂²×C₄×C₁₃₉	—	2	2	no	—
182	C₂²×C₄×C₁₃₉	—	2	16	no	—
183	C₂²×C₄×C₁₃₉	—	4	8	no	—
184	C₂²×C₄×C₁₃₉	—	4	32	no	—
185	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
186	C₂²×C₄×C₁₃₉	C₂×D₄	1	8	yes	—
187	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
188	C₂²×C₄×C₁₃₉	C₂×D₄	1	16	yes	complemented
189	C₂²×C₄×C₁₃₉	#41	1	8	yes	complemented
190	C₂²×C₄×C₁₃₉	C₂⁴	1	4	yes	—
191	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
192	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
193	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
194	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
195	C₂²×C₄×C₁₃₉	C₂⁴	1	4	yes	—
196	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
197	C₂²×C₄×C₁₃₉	C₂⁴	1	4	yes	—
198	C₄⋊C₄×C₁₃₉	—	2	16	no	—
199	C₄⋊C₄×C₁₃₉	—	2	8	no	—
200	C₄⋊C₄×C₁₃₉	—	2	8	no	—
201	C₂²⋊C₄×C₁₃₉	—	2	16	no	—
202	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
203	C₂²⋊C₄×C₁₃₉	—	2	16	no	—
204	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
205	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
206	C₂²⋊C₄×C₁₃₉	—	2	16	no	—
207	C₂²⋊C₄×C₁₃₉	—	4	8	no	—
208	C₂³×C₁₃₉	—	2	8	no	—
209	C₂³×C₁₃₉	—	2	8	no	—
210	C₂³×C₁₃₉	—	2	16	no	—
211	C₂³×C₁₃₉	—	2	16	no	—
212	C₂³×C₁₃₉	—	2	4	no	—
213	C₂³×C₁₃₉	—	2	2	no	—
214	C₂³×C₁₃₉	—	2	2	no	—
215	C₂³×C₁₃₉	—	2	16	no	—
216	C₂³×C₁₃₉	—	2	16	no	—
217	C₂³×C₁₃₉	—	2	16	no	—
218	C₂³×C₁₃₉	—	2	4	no	—
219	C₂³×C₁₃₉	—	2	4	no	—
220	C₂³×C₁₃₉	—	2	4	no	—
221	C₂³×C₁₃₉	—	2	4	no	—
222	C₂³×C₁₃₉	—	2	4	no	—
223	C₂³×C₁₃₉	—	2	4	no	—
224	C₂³×C₁₃₉	—	2	2	no	—
225	C₂³×C₁₃₉	—	2	4	no	—
226	C₂³×C₁₃₉	—	2	4	no	—
227	C₂³×C₁₃₉	—	2	2	no	—
228	C₂³×C₁₃₉	—	2	2	no	—
229	C₂³×C₁₃₉	—	4	8	no	—
230	C₂³×C₁₃₉	—	4	8	no	—
231	C₂³×C₁₃₉	—	4	8	no	—
232	C₂³×C₁₃₉	—	4	8	no	—
233	C₂³×C₁₃₉	—	4	4	no	—
234	C₂³×C₁₃₉	—	4	4	no	—
235	C₂³×C₁₃₉	—	4	4	no	—
236	C₂³×C₁₃₉	—	4	8	no	—
237	C₂³×C₁₃₉	—	4	8	no	—
238	C₂³×C₁₃₉	#120	1	16	yes	—
239	C₂³×C₁₃₉	C₂²×D₄	1	8	yes	—
240	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
241	C₂³×C₁₃₉	C₂²×D₄	1	8	yes	—
242	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
243	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
244	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
245	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
246	C₂³×C₁₃₉	2₋¹⁺⁴	1	2	yes	—
247	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
248	Q₈×C₁₃₉	—	2	32	no	—
249	D₄×C₁₃₉	—	2	32	no	—
250	D₄×C₁₃₉	—	2	64	no	—
251	D₄×C₁₃₉	—	4	32	no	—
252	D₄×C₁₃₉	—	4	16	no	—
253	C₂×C₄×C₁₃₉	—	2	64	no	—
254	C₂×C₄×C₁₃₉	—	2	8	no	—
255	C₂×C₄×C₁₃₉	—	2	16	no	—
256	C₂×C₄×C₁₃₉	—	2	8	no	—
257	C₂×C₄×C₁₃₉	—	2	32	no	—
258	C₂×C₄×C₁₃₉	—	2	16	no	—
259	C₂×C₄×C₁₃₉	—	2	4	no	—
260	C₂×C₄×C₁₃₉	—	2	4	no	—
261	C₂×C₄×C₁₃₉	—	2	4	no	—
262	C₂×C₄×C₁₃₉	—	2	4	no	—
263	C₂×C₄×C₁₃₉	—	2	4	no	—
264	C₂×C₄×C₁₃₉	—	2	4	no	—
265	C₂×C₄×C₁₃₉	—	2	2	no	—
266	C₂×C₄×C₁₃₉	—	2	2	no	—
267	C₂×C₄×C₁₃₉	—	2	4	no	—
268	C₂×C₄×C₁₃₉	—	2	4	no	—
269	C₂×C₄×C₁₃₉	—	2	2	no	—
270	C₂×C₄×C₁₃₉	—	2	4	no	—
271	C₂×C₄×C₁₃₉	—	2	4	no	—
272	C₂×C₄×C₁₃₉	—	2	2	no	—
273	C₂×C₄×C₁₃₉	—	2	4	no	—
274	C₂×C₄×C₁₃₉	—	2	2	no	—
275	C₂×C₄×C₁₃₉	—	4	32	no	—
276	C₂×C₄×C₁₃₉	—	4	4	no	—
277	C₂×C₄×C₁₃₉	—	4	4	no	—
278	C₂×C₄×C₁₃₉	—	4	4	no	—
279	C₂×C₄×C₁₃₉	—	4	8	no	—
280	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
281	C₂×C₄×C₁₃₉	C₂²×D₄	1	8	yes	—
282	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
283	C₂×C₄×C₁₃₉	C₂×#41	1	8	yes	complemented
284	C₂²×C₁₃₉	—	2	4	no	—
285	C₂²×C₁₃₉	—	2	4	no	—
286	C₂²×C₁₃₉	—	2	32	no	—
287	C₂²×C₁₃₉	—	2	8	no	—
288	C₂²×C₁₃₉	—	2	8	no	—
289	C₂²×C₁₃₉	—	2	8	no	—
290	C₂²×C₁₃₉	—	2	8	no	—
291	C₂²×C₁₃₉	—	2	8	no	—
292	C₂²×C₁₃₉	—	4	4	no	—
293	C₂²×C₁₃₉	—	4	4	no	—
294	C₂²×C₁₃₉	—	4	32	no	—
295	C₂²×C₁₃₉	—	4	4	no	—
296	C₂²×C₁₃₉	—	4	4	no	—
297	C₂²×C₁₃₉	—	4	2	no	—
298	C₂²×C₁₃₉	—	4	2	no	—
299	C₂²×C₁₃₉	—	4	2	no	—
300	C₂²×C₁₃₉	—	4	4	no	—
301	C₂²×C₁₃₉	—	4	4	no	—
302	C₂²×C₁₃₉	—	8	8	no	—
303	C₂²×C₁₃₉	C₂×#120	1	8	yes	—
304	C₂²×C₁₃₉	C₂×#120	1	4	yes	—
305	C₂²×C₁₃₉	#532	1	4	yes	—
306	C₂²×C₁₃₉	#537	1	4	yes	—
307	C₂²×C₁₃₉	#546	1	8	yes	—
308	C₂²×C₁₃₉	#547	1	8	yes	—
309	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
310	C₂²×C₁₃₉	C₂³×D₄	1	2	yes	—
311	C₂²×C₁₃₉	C₂²×#41	1	2	yes	—
312	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
313	C₂²×C₁₃₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
314	C₄×C₁₃₉	—	2	4	no	—
315	C₄×C₁₃₉	—	2	8	no	—
316	C₄×C₁₃₉	—	2	4	no	—
317	C₄×C₁₃₉	—	2	8	no	—
318	C₄×C₁₃₉	—	4	2	no	—
319	C₄×C₁₃₉	—	4	2	no	—
320	C₄×C₁₃₉	—	4	2	no	—
321	C₄×C₁₃₉	—	4	4	no	—
322	C₂×C₁₃₉	—	2	8	no	—
323	C₂×C₁₃₉	—	4	8	no	—
324	C₂×C₁₃₉	—	8	2	no	—
325	C₂×C₁₃₉	#2430	1	8	yes	direct product factor
326	C₂×C₁₃₉	C₂²×#120	1	1	yes	characteristic
327	C₂×C₁₃₉	C₂×#532	1	1	yes	characteristic
328	C₂×C₁₃₉	C₂×#537	1	1	yes	characteristic
329	C₂×C₁₃₉	C₂×#546	1	2	yes	—
330	C₂×C₁₃₉	C₂×#547	1	2	yes	—
331	C₂×#2430	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
332	C₁₃₉	C₂×#2430	1	1	yes	characteristic, direct product factor, Sylow
333	C₂³×#41	C₂×C₁₃₉	1	1	yes	characteristic, complemented
334	C₂²×#123	C₂×C₁₃₉	1	1	yes	characteristic, complemented
335	C₂²×#121	C₂×C₁₃₉	1	2	yes	complemented
336	#2430	C₂×C₁₃₉	1	16	yes	direct product factor
337	C₂×#395	C₂×C₁₃₉	1	1	yes	characteristic, complemented
338	C₂×#394	C₂×C₁₃₉	1	1	yes	characteristic, complemented
339	C₂×#393	C₂×C₁₃₉	1	1	yes	characteristic, complemented
340	C₂×#392	C₂×C₁₃₉	1	1	yes	characteristic, complemented
341	C₂×#386	C₂×C₁₃₉	1	2	yes	complemented
342	C₂×#386	C₂×C₁₃₉	1	2	yes	complemented
343	C₂×#385	C₂×C₁₃₉	1	2	yes	complemented
344	C₂²×#95	C₂×C₁₃₉	1	1	yes	characteristic, complemented
345	C₂²×#41	—	2	16	no	—
346	C₂²×#41	—	2	8	no	—
347	C₂²×#41	C₂²×C₁₃₉	1	8	yes	complemented
348	C₂³×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
349	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
350	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
351	C₂³×D₄	C₂²×C₁₃₉	1	2	yes	—
352	C₂³×D₄	C₂²×C₁₃₉	1	2	yes	—
353	C₂⁴×C₄	C₂²×C₁₃₉	1	2	yes	—
354	C₂⁴×C₄	C₂²×C₁₃₉	1	2	yes	—
355	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic
356	C₂×#123	—	2	8	no	—
357	C₂×#123	C₂²×C₁₃₉	1	8	yes	complemented
358	C₂×#121	—	2	16	no	—
359	C₂×#121	C₂²×C₁₃₉	1	16	yes	complemented
360	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
361	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
362	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
363	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
364	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
365	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
366	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
367	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
368	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
369	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
370	#395	C₂²×C₁₃₉	1	8	yes	complemented
371	#394	C₂²×C₁₃₉	1	8	yes	complemented
372	#393	C₂²×C₁₃₉	1	8	yes	complemented
373	#392	C₂²×C₁₃₉	1	8	yes	complemented
374	#386	C₂²×C₁₃₉	1	16	yes	complemented
375	#386	C₂²×C₁₃₉	1	16	yes	complemented
376	#385	C₂²×C₁₃₉	1	16	yes	complemented
377	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
378	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
379	C₂×#95	C₂²×C₁₃₉	1	2	yes	—
380	C₂×#95	C₂²×C₁₃₉	1	2	yes	—
381	C₂×#95	C₂²×C₁₃₉	1	2	yes	—
382	C₂×#95	C₂²×C₁₃₉	1	8	yes	complemented
383	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
384	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
385	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
386	C₂×#41	—	2	128	no	—
387	C₂×#41	—	2	64	no	—
388	C₂×#41	—	2	32	no	—
389	C₂²×Q₈	—	2	8	no	—
390	C₂²×Q₈	—	2	4	no	—
391	C₂²×Q₈	C₂³×C₁₃₉	1	4	yes	—
392	C₂²×D₄	—	2	8	no	—
393	C₂²×D₄	—	2	8	no	—
394	C₂²×D₄	—	2	8	no	—
395	C₂²×D₄	—	2	8	no	—
396	C₂²×D₄	—	2	8	no	—
397	C₂²×D₄	—	2	4	no	—
398	C₂²×D₄	—	2	4	no	—
399	C₂²×D₄	—	2	8	no	—
400	C₂²×D₄	—	4	4	no	—
401	C₂²×D₄	D₄×C₁₃₉	1	16	yes	complemented
402	C₂²×D₄	C₂³×C₁₃₉	1	4	yes	—
403	C₂²×D₄	C₂³×C₁₃₉	1	4	yes	—
404	C₂²×D₄	C₂³×C₁₃₉	1	8	yes	—
405	C₂²×D₄	C₂³×C₁₃₉	1	8	yes	—
406	C₂³×C₄	—	2	8	no	—
407	C₂³×C₄	—	2	8	no	—
408	C₂³×C₄	—	2	8	no	—
409	C₂³×C₄	—	2	8	no	—
410	C₂³×C₄	—	2	8	no	—
411	C₂³×C₄	—	2	8	no	—
412	C₂³×C₄	—	4	4	no	—
413	C₂³×C₄	D₄×C₁₃₉	1	8	yes	complemented
414	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
415	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
416	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
417	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
418	C₂³×C₄	C₂³×C₁₃₉	1	8	yes	—
419	C₂³×C₄	C₂³×C₁₃₉	1	8	yes	—
420	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
421	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
422	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
423	C₂³×C₄	C₂³×C₁₃₉	1	4	yes	—
424	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
425	#123	—	2	32	no	—
426	#121	—	2	64	no	—
427	C₂×C₄⋊C₄	—	2	8	no	—
428	C₂×C₄⋊C₄	—	2	4	no	—
429	C₂×C₄⋊C₄	—	2	4	no	—
430	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	8	yes	—
431	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	4	yes	—
432	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	4	yes	—
433	C₂×C₂²⋊C₄	—	2	8	no	—
434	C₂×C₂²⋊C₄	—	2	4	no	—
435	C₂×C₂²⋊C₄	—	2	8	no	—
436	C₂×C₂²⋊C₄	—	2	4	no	—
437	C₂×C₂²⋊C₄	—	2	4	no	—
438	C₂×C₂²⋊C₄	—	2	8	no	—
439	C₂×C₂²⋊C₄	—	4	4	no	—
440	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	8	yes	—
441	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	8	yes	—
442	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
443	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
444	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
445	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	8	yes	—
446	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	8	yes	—
447	#95	C₂³×C₁₃₉	1	8	yes	—
448	#95	C₂³×C₁₃₉	1	4	yes	—
449	#95	C₂³×C₁₃₉	1	4	yes	—
450	#95	C₂³×C₁₃₉	1	8	yes	—
451	#95	C₂³×C₁₃₉	1	8	yes	—
452	C₂⁴	—	2	4	no	—
453	C₂⁴	—	2	2	no	—
454	C₂⁴	—	2	2	no	—
455	C₂⁴	—	2	4	no	—
456	C₂⁴	—	2	4	no	—
457	C₂⁴	—	2	4	no	—
458	C₂⁴	—	2	4	no	—
459	C₂⁴	—	2	4	no	—
460	C₂⁴	—	2	4	no	—
461	C₂⁴	—	2	2	no	—
462	C₂⁴	—	2	4	no	—
463	C₂⁴	—	2	4	no	—
464	C₂⁴	—	2	2	no	—
465	C₂⁴	—	2	2	no	—
466	C₂⁴	C₂×D₄×C₁₃₉	1	8	yes	—
467	C₂⁴	C₂×D₄×C₁₃₉	1	4	yes	—
468	C₂⁴	C₂×D₄×C₁₃₉	1	8	yes	—
469	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
470	C₂⁴	C₂⁴×C₁₃₉	1	4	yes	—
471	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
472	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
473	#41	—	2	256	no	—
474	C₂×Q₈	—	2	32	no	—
475	C₂×Q₈	—	2	16	no	—
476	C₂×Q₈	—	2	8	no	—
477	C₂×D₄	—	2	32	no	—
478	C₂×D₄	—	2	64	no	—
479	C₂×D₄	—	2	16	no	—
480	C₂×D₄	—	2	16	no	—
481	C₂×D₄	—	2	16	no	—
482	C₂×D₄	—	2	16	no	—
483	C₂×D₄	—	2	16	no	—
484	C₂×D₄	—	2	8	no	—
485	C₂×D₄	—	2	8	no	—
486	C₂×D₄	—	2	16	no	—
487	C₂×D₄	—	4	8	no	—
488	C₂×D₄	—	4	32	no	—
489	C₂×D₄	—	4	16	no	—
490	C₂×D₄	C₂×D₄×C₁₃₉	1	32	yes	complemented
491	C₂²×C₄	—	2	64	no	—
492	C₂²×C₄	—	2	32	no	—
493	C₂²×C₄	—	2	4	no	—
494	C₂²×C₄	—	2	4	no	—
495	C₂²×C₄	—	2	4	no	—
496	C₂²×C₄	—	2	4	no	—
497	C₂²×C₄	—	2	4	no	—
498	C₂²×C₄	—	2	16	no	—
499	C₂²×C₄	—	2	16	no	—
500	C₂²×C₄	—	2	4	no	—
501	C₂²×C₄	—	2	16	no	—
502	C₂²×C₄	—	2	16	no	—
503	C₂²×C₄	—	2	2	no	—
504	C₂²×C₄	—	2	2	no	—
505	C₂²×C₄	—	2	4	no	—
506	C₂²×C₄	—	2	4	no	—
507	C₂²×C₄	—	2	2	no	—
508	C₂²×C₄	—	2	16	no	—
509	C₂²×C₄	—	2	4	no	—
510	C₂²×C₄	—	2	4	no	—
511	C₂²×C₄	—	2	2	no	—
512	C₂²×C₄	—	2	4	no	—
513	C₂²×C₄	—	2	2	no	—
514	C₂²×C₄	—	2	16	no	—
515	C₂²×C₄	—	4	8	no	—
516	C₂²×C₄	—	4	32	no	—
517	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
518	C₂²×C₄	C₂×D₄×C₁₃₉	1	8	yes	—
519	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
520	C₂²×C₄	C₂×D₄×C₁₃₉	1	16	yes	complemented
521	C₂²×C₄	#41×C₁₃₉	1	8	yes	complemented
522	C₂²×C₄	C₂⁴×C₁₃₉	1	4	yes	—
523	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
524	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
525	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
526	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
527	C₂²×C₄	C₂⁴×C₁₃₉	1	4	yes	—
528	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
529	C₂²×C₄	C₂⁴×C₁₃₉	1	4	yes	—
530	C₄⋊C₄	—	2	16	no	—
531	C₄⋊C₄	—	2	8	no	—
532	C₄⋊C₄	—	2	8	no	—
533	C₂²⋊C₄	—	2	16	no	—
534	C₂²⋊C₄	—	2	8	no	—
535	C₂²⋊C₄	—	2	16	no	—
536	C₂²⋊C₄	—	2	8	no	—
537	C₂²⋊C₄	—	2	8	no	—
538	C₂²⋊C₄	—	2	16	no	—
539	C₂²⋊C₄	—	4	8	no	—
540	C₂³	—	2	8	no	—
541	C₂³	—	2	8	no	—
542	C₂³	—	2	16	no	—
543	C₂³	—	2	16	no	—
544	C₂³	—	2	4	no	—
545	C₂³	—	2	2	no	—
546	C₂³	—	2	2	no	—
547	C₂³	—	2	16	no	—
548	C₂³	—	2	16	no	—
549	C₂³	—	2	16	no	—
550	C₂³	—	2	4	no	—
551	C₂³	—	2	4	no	—
552	C₂³	—	2	4	no	—
553	C₂³	—	2	4	no	—
554	C₂³	—	2	4	no	—
555	C₂³	—	2	4	no	—
556	C₂³	—	2	2	no	—
557	C₂³	—	2	4	no	—
558	C₂³	—	2	4	no	—
559	C₂³	—	2	2	no	—
560	C₂³	—	2	2	no	—
561	C₂³	—	4	8	no	—
562	C₂³	—	4	8	no	—
563	C₂³	—	4	8	no	—
564	C₂³	—	4	8	no	—
565	C₂³	—	4	4	no	—
566	C₂³	—	4	4	no	—
567	C₂³	—	4	4	no	—
568	C₂³	—	4	8	no	—
569	C₂³	—	4	8	no	—
570	C₂³	#120×C₁₃₉	1	16	yes	—
571	C₂³	C₂²×D₄×C₁₃₉	1	8	yes	—
572	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
573	C₂³	C₂²×D₄×C₁₃₉	1	8	yes	—
574	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
575	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
576	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
577	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
578	C₂³	2₋¹⁺⁴×C₁₃₉	1	2	yes	—
579	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
580	Q₈	—	2	32	no	—
581	D₄	—	2	32	no	—
582	D₄	—	2	64	no	—
583	D₄	—	4	32	no	—
584	D₄	—	4	16	no	—
585	C₂×C₄	—	2	64	no	—
586	C₂×C₄	—	2	8	no	—
587	C₂×C₄	—	2	16	no	—
588	C₂×C₄	—	2	8	no	—
589	C₂×C₄	—	2	32	no	—
590	C₂×C₄	—	2	16	no	—
591	C₂×C₄	—	2	4	no	—
592	C₂×C₄	—	2	4	no	—
593	C₂×C₄	—	2	4	no	—
594	C₂×C₄	—	2	4	no	—
595	C₂×C₄	—	2	4	no	—
596	C₂×C₄	—	2	4	no	—
597	C₂×C₄	—	2	2	no	—
598	C₂×C₄	—	2	2	no	—
599	C₂×C₄	—	2	4	no	—
600	C₂×C₄	—	2	4	no	—
601	C₂×C₄	—	2	2	no	—
602	C₂×C₄	—	2	4	no	—
603	C₂×C₄	—	2	4	no	—
604	C₂×C₄	—	2	2	no	—
605	C₂×C₄	—	2	4	no	—
606	C₂×C₄	—	2	2	no	—
607	C₂×C₄	—	4	32	no	—
608	C₂×C₄	—	4	4	no	—
609	C₂×C₄	—	4	4	no	—
610	C₂×C₄	—	4	4	no	—
611	C₂×C₄	—	4	8	no	—
612	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
613	C₂×C₄	C₂²×D₄×C₁₃₉	1	8	yes	—
614	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
615	C₂×C₄	C₂×#41×C₁₃₉	1	8	yes	complemented
616	C₂²	—	2	4	no	—
617	C₂²	—	2	4	no	—
618	C₂²	—	2	32	no	—
619	C₂²	—	2	8	no	—
620	C₂²	—	2	8	no	—
621	C₂²	—	2	8	no	—
622	C₂²	—	2	8	no	—
623	C₂²	—	2	8	no	—
624	C₂²	—	4	4	no	—
625	C₂²	—	4	4	no	—
626	C₂²	—	4	32	no	—
627	C₂²	—	4	4	no	—
628	C₂²	—	4	4	no	—
629	C₂²	—	4	2	no	—
630	C₂²	—	4	2	no	—
631	C₂²	—	4	2	no	—
632	C₂²	—	4	4	no	—
633	C₂²	—	4	4	no	—
634	C₂²	—	8	8	no	—
635	C₂²	C₂×#120×C₁₃₉	1	8	yes	—
636	C₂²	C₂×#120×C₁₃₉	1	4	yes	—
637	C₂²	#532×C₁₃₉	1	4	yes	—
638	C₂²	#537×C₁₃₉	1	4	yes	—
639	C₂²	#546×C₁₃₉	1	8	yes	—
640	C₂²	#547×C₁₃₉	1	8	yes	—
641	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
642	C₂²	C₂³×D₄×C₁₃₉	1	2	yes	—
643	C₂²	C₂²×#41×C₁₃₉	1	2	yes	—
644	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
645	C₂²	C₂×2₋¹⁺⁴×C₁₃₉	1	1	yes	characteristic
646	C₄	—	2	4	no	—
647	C₄	—	2	8	no	—
648	C₄	—	2	4	no	—
649	C₄	—	2	8	no	—
650	C₄	—	4	2	no	—
651	C₄	—	4	2	no	—
652	C₄	—	4	2	no	—
653	C₄	—	4	4	no	—
654	C₂	—	2	8	no	—
655	C₂	—	4	8	no	—
656	C₂	—	8	2	no	—
657	C₂	#2430×C₁₃₉	1	8	yes	direct product factor
658	C₂	C₂²×#120×C₁₃₉	1	1	yes	characteristic
659	C₂	C₂×#532×C₁₃₉	1	1	yes	characteristic
660	C₂	C₂×#537×C₁₃₉	1	1	yes	characteristic
661	C₂	C₂×#546×C₁₃₉	1	2	yes	—
662	C₂	C₂×#547×C₁₃₉	1	2	yes	—

	subgroup	G/H
center, socle	C₂⁴×C₁₃₉	C₂⁴
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂⁴×C₁₃₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂³×#41×C₁₃₉	C₂	semidirect
2. C₂²×#123×C₁₃₉	C₂	semidirect
3. C₂²×#121×C₁₃₉	C₂	semidirect
4. #2430×C₁₃₉	C₂	direct (N × H)
5. C₂×#395×C₁₃₉	C₂	semidirect
6. C₂×#394×C₁₃₉	C₂	semidirect
7. C₂×#393×C₁₃₉	C₂	semidirect
8. C₂×#392×C₁₃₉	C₂	semidirect
9. C₂×#386×C₁₃₉	C₂	semidirect
10. C₂×#386×C₁₃₉	C₂	semidirect
11. C₂×#385×C₁₃₉	C₂	semidirect
12. C₂²×#95×C₁₃₉	C₂	semidirect
15. C₂²×#41×C₁₃₉	C₂²	semidirect
25. C₂×#123×C₁₃₉	C₂²	semidirect
27. C₂×#121×C₁₃₉	C₂²	semidirect
38. #395×C₁₃₉	C₂²	semidirect
39. #394×C₁₃₉	C₂²	semidirect
40. #393×C₁₃₉	C₂²	semidirect
41. #392×C₁₃₉	C₂²	semidirect
42. #386×C₁₃₉	C₂²	semidirect
43. #386×C₁₃₉	C₂²	semidirect
44. #385×C₁₃₉	C₂²	semidirect
50. C₂×#95×C₁₃₉	C₂²	semidirect
69. C₂²×D₄×C₁₃₉	D₄	semidirect
81. C₂³×C₄×C₁₃₉	D₄	semidirect
158. C₂×D₄×C₁₃₉	C₂×D₄	semidirect
188. C₂²×C₄×C₁₃₉	C₂×D₄	semidirect
189. C₂²×C₄×C₁₃₉	#41	semidirect
283. C₂×C₄×C₁₃₉	C₂×#41	semidirect
325. C₂×C₁₃₉	#2430	direct (N × H)
331. C₂×#2430	C₁₃₉	direct (N × H)
332. C₁₃₉	C₂×#2430	direct (N × H)
333. C₂³×#41	C₂×C₁₃₉	semidirect
334. C₂²×#123	C₂×C₁₃₉	semidirect
335. C₂²×#121	C₂×C₁₃₉	semidirect
336. #2430	C₂×C₁₃₉	direct (N × H)
337. C₂×#395	C₂×C₁₃₉	semidirect
338. C₂×#394	C₂×C₁₃₉	semidirect
339. C₂×#393	C₂×C₁₃₉	semidirect
340. C₂×#392	C₂×C₁₃₉	semidirect
341. C₂×#386	C₂×C₁₃₉	semidirect
342. C₂×#386	C₂×C₁₃₉	semidirect
343. C₂×#385	C₂×C₁₃₉	semidirect
344. C₂²×#95	C₂×C₁₃₉	semidirect
347. C₂²×#41	C₂²×C₁₃₉	semidirect
357. C₂×#123	C₂²×C₁₃₉	semidirect
359. C₂×#121	C₂²×C₁₃₉	semidirect
370. #395	C₂²×C₁₃₉	semidirect
371. #394	C₂²×C₁₃₉	semidirect
372. #393	C₂²×C₁₃₉	semidirect
373. #392	C₂²×C₁₃₉	semidirect
374. #386	C₂²×C₁₃₉	semidirect
375. #386	C₂²×C₁₃₉	semidirect
376. #385	C₂²×C₁₃₉	semidirect
382. C₂×#95	C₂²×C₁₃₉	semidirect
401. C₂²×D₄	D₄×C₁₃₉	semidirect
413. C₂³×C₄	D₄×C₁₃₉	semidirect
490. C₂×D₄	C₂×D₄×C₁₃₉	semidirect
520. C₂²×C₄	C₂×D₄×C₁₃₉	semidirect
521. C₂²×C₄	#41×C₁₃₉	semidirect
615. C₂×C₄	C₂×#41×C₁₃₉	semidirect
657. C₂	#2430×C₁₃₉	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂³×#41×C₁₃₉	2
C₂²×#123×C₁₃₉	2
C₂²×#121×C₁₃₉	2
#2430×C₁₃₉	2
C₂×#395×C₁₃₉	2
C₂×#394×C₁₃₉	2
C₂×#393×C₁₃₉	2
C₂×#392×C₁₃₉	2
C₂×#386×C₁₃₉	2
C₂×#385×C₁₃₉	2
C₂²×#95×C₁₃₉	2
C₂×#2430	139

Subgroups — C2×#2430×C139 #48029326

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#2430×C₁₃₉ #48029326