Subgroups — C₁₃₉×#36265 #48030861

Order 35584.

2244 conjugacy classes of subgroups.

The subgroup lattice has 1004 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#552×C₁₃₉	C₂	1	2	yes	maximal, complemented
2	#2860×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2859×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2854×C₁₃₉	C₂	1	1	yes	maximal, characteristic
5	#2611×C₁₃₉	C₂	1	2	yes	maximal, complemented
6	#2604×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2556×C₁₃₉	C₂	1	2	yes	maximal, complemented
8	#2519×C₁₃₉	C₂	1	2	yes	maximal, complemented
9	#2512×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
10	#2506×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
11	#2506×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
12	#2501×C₁₃₉	C₂	1	1	yes	maximal, characteristic
13	#2488×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2452×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#2440×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2413×C₁₃₉	C₂	1	2	yes	maximal, complemented
17	#2361×C₁₃₉	C₂	1	1	yes	maximal, characteristic
18	#2359×C₁₃₉	C₂	1	2	yes	maximal, complemented
19	#2344×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×C₄⋊Q₈×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2293×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#389×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#117×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	#552×C₁₃₉	—	2	16	no	—
25	C₂×C₄⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
26	C₂×#126×C₁₃₉	C₂²	1	2	yes	—
27	C₂×#126×C₁₃₉	C₂²	1	2	yes	—
28	C₂×#125×C₁₃₉	C₂²	1	2	yes	—
29	C₂×#125×C₁₃₉	C₂²	1	2	yes	—
30	C₂×#125×C₁₃₉	C₂²	1	2	yes	—
31	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
32	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
33	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
34	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
35	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
36	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂×C₄×Q₈×C₁₃₉	C₂²	1	2	yes	—
38	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
39	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
40	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
41	C₂×#117×C₁₃₉	C₂²	1	2	yes	—
42	C₂×#117×C₁₃₉	C₂²	1	2	yes	—
43	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
44	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
45	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
46	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
47	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
48	#400×C₁₃₉	C₂²	1	2	yes	—
49	#400×C₁₃₉	C₂²	1	2	yes	—
50	#399×C₁₃₉	C₂²	1	2	yes	—
51	#399×C₁₃₉	C₂²	1	2	yes	—
52	#398×C₁₃₉	C₂²	1	2	yes	—
53	#398×C₁₃₉	C₂²	1	2	yes	—
54	#398×C₁₃₉	C₂²	1	2	yes	—
55	#397×C₁₃₉	C₂²	1	2	yes	—
56	#396×C₁₃₉	C₂²	1	2	yes	—
57	#396×C₁₃₉	C₂²	1	2	yes	—
58	#395×C₁₃₉	C₂²	1	2	yes	—
59	#393×C₁₃₉	C₂²	1	2	yes	—
60	#391×C₁₃₉	C₂²	1	2	yes	—
61	#390×C₁₃₉	C₂²	1	1	yes	characteristic
62	#390×C₁₃₉	C₂²	1	1	yes	characteristic
63	#390×C₁₃₉	C₂²	1	1	yes	characteristic
64	#390×C₁₃₉	C₂²	1	1	yes	characteristic
65	#390×C₁₃₉	C₂²	1	1	yes	characteristic
66	#389×C₁₃₉	C₂²	1	1	yes	characteristic
67	#389×C₁₃₉	C₂²	1	2	yes	—
68	#389×C₁₃₉	C₂²	1	1	yes	characteristic
69	#389×C₁₃₉	C₂²	1	1	yes	characteristic
70	#389×C₁₃₉	C₂²	1	2	yes	—
71	#389×C₁₃₉	C₂²	1	1	yes	characteristic
72	#389×C₁₃₉	C₂²	1	1	yes	characteristic
73	#389×C₁₃₉	C₂²	1	2	yes	—
74	#389×C₁₃₉	C₂²	1	1	yes	characteristic
75	#389×C₁₃₉	C₂²	1	2	yes	—
76	#389×C₁₃₉	C₂²	1	1	yes	characteristic
77	#389×C₁₃₉	C₂²	1	1	yes	characteristic
78	#389×C₁₃₉	C₂²	1	1	yes	characteristic
79	#389×C₁₃₉	C₂²	1	2	yes	—
80	#389×C₁₃₉	C₂²	1	1	yes	characteristic
81	#389×C₁₃₉	C₂²	1	1	yes	characteristic
82	#388×C₁₃₉	C₂²	1	2	yes	—
83	#388×C₁₃₉	C₂²	1	2	yes	—
84	#388×C₁₃₉	C₂²	1	2	yes	—
85	#388×C₁₃₉	C₂²	1	2	yes	—
86	#388×C₁₃₉	C₂²	1	2	yes	—
87	#388×C₁₃₉	C₂²	1	2	yes	—
88	#388×C₁₃₉	C₂²	1	2	yes	—
89	#388×C₁₃₉	C₂²	1	2	yes	—
90	#388×C₁₃₉	C₂²	1	2	yes	—
91	#387×C₁₃₉	C₂²	1	2	yes	—
92	#387×C₁₃₉	C₂²	1	2	yes	—
93	#387×C₁₃₉	C₂²	1	2	yes	—
94	#387×C₁₃₉	C₂²	1	2	yes	—
95	#386×C₁₃₉	C₂²	1	2	yes	—
96	#386×C₁₃₉	C₂²	1	2	yes	—
97	#385×C₁₃₉	C₂²	1	2	yes	—
98	#385×C₁₃₉	C₂²	1	2	yes	—
99	#385×C₁₃₉	C₂²	1	2	yes	—
100	#384×C₁₃₉	C₂²	1	1	yes	characteristic
101	#384×C₁₃₉	C₂²	1	1	yes	characteristic
102	#384×C₁₃₉	C₂²	1	1	yes	characteristic
103	#382×C₁₃₉	C₂²	1	2	yes	—
104	#381×C₁₃₉	C₂²	1	2	yes	—
105	#380×C₁₃₉	C₂²	1	1	yes	characteristic
106	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
107	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
108	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
109	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
110	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
111	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
112	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
113	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
114	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
115	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
116	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
117	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
118	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
119	#376×C₁₃₉	C₂²	1	1	yes	characteristic
120	#376×C₁₃₉	C₂²	1	1	yes	characteristic
121	C₂×#95×C₁₃₉	C₂²	1	2	yes	—
122	C₄³×C₁₃₉	C₂²	1	1	yes	characteristic
123	C₄³×C₁₃₉	C₂²	1	1	yes	characteristic
124	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
125	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
126	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
127	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
128	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
129	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
130	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
131	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
132	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
133	C₄⋊Q₈×C₁₃₉	—	2	4	no	—
134	#126×C₁₃₉	—	2	8	no	—
135	#126×C₁₃₉	—	2	8	no	—
136	#125×C₁₃₉	—	2	8	no	—
137	#125×C₁₃₉	—	2	8	no	—
138	#125×C₁₃₉	—	2	8	no	—
139	#123×C₁₃₉	—	2	8	no	—
140	#123×C₁₃₉	—	2	8	no	—
141	#123×C₁₃₉	—	2	8	no	—
142	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
143	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
144	#121×C₁₃₉	—	2	4	no	—
145	C₄×Q₈×C₁₃₉	—	2	8	no	—
146	C₄×D₄×C₁₃₉	—	2	4	no	—
147	C₄×D₄×C₁₃₉	—	2	8	no	—
148	#117×C₁₃₉	—	2	8	no	—
149	#117×C₁₃₉	—	2	4	no	—
150	#117×C₁₃₉	—	2	8	no	—
151	#117×C₁₃₉	D₄	1	8	yes	complemented
152	C₂×C₄⋊C₄×C₁₃₉	—	2	8	no	—
153	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
154	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
155	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
156	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
157	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
158	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
159	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
160	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
161	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
162	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
163	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
164	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
165	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
166	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
167	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
168	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
169	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
170	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
171	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
172	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
173	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
174	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
175	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
176	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
177	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
178	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
179	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
180	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
181	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
182	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
183	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
184	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
185	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
186	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
187	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
188	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
189	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
190	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
191	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
192	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
193	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
194	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
195	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
196	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
197	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
198	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
199	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
200	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
201	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
202	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
203	C₂×C₄²×C₁₃₉	—	2	4	no	—
204	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
205	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
206	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
208	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
209	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
210	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
213	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
217	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
223	#95×C₁₃₉	C₂³	1	1	yes	characteristic
224	#95×C₁₃₉	C₂³	1	2	yes	—
225	#95×C₁₃₉	C₂³	1	2	yes	—
226	#95×C₁₃₉	C₂³	1	2	yes	—
227	#95×C₁₃₉	C₂³	1	2	yes	—
228	#95×C₁₃₉	C₂³	1	1	yes	characteristic
229	#95×C₁₃₉	C₂³	1	2	yes	—
230	#95×C₁₃₉	C₂³	1	1	yes	characteristic
231	#95×C₁₃₉	C₂³	1	2	yes	—
232	#95×C₁₃₉	C₂³	1	2	yes	—
233	#95×C₁₃₉	C₂³	1	2	yes	—
234	#95×C₁₃₉	C₂³	1	2	yes	—
235	#95×C₁₃₉	C₂³	1	2	yes	—
236	#95×C₁₃₉	C₂³	1	1	yes	characteristic
237	#95×C₁₃₉	C₂³	1	2	yes	—
238	#95×C₁₃₉	C₂³	1	2	yes	—
239	#95×C₁₃₉	C₂³	1	2	yes	—
240	#95×C₁₃₉	C₂³	1	2	yes	—
241	#95×C₁₃₉	C₂³	1	1	yes	characteristic
242	#95×C₁₃₉	C₂³	1	1	yes	characteristic
243	#95×C₁₃₉	C₂³	1	1	yes	characteristic
244	#95×C₁₃₉	C₂³	1	1	yes	characteristic
245	#95×C₁₃₉	C₂³	1	2	yes	—
246	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
247	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
248	C₂×Q₈×C₁₃₉	—	2	4	no	—
249	C₂×Q₈×C₁₃₉	—	2	4	no	—
250	C₂×Q₈×C₁₃₉	—	4	2	no	—
251	C₂×D₄×C₁₃₉	—	2	4	no	—
252	C₂×D₄×C₁₃₉	—	2	4	no	—
253	C₂×D₄×C₁₃₉	—	2	4	no	—
254	C₂×D₄×C₁₃₉	—	2	2	no	—
255	C₂×D₄×C₁₃₉	—	2	2	no	—
256	C₂×D₄×C₁₃₉	—	2	2	no	—
257	C₂²×C₄×C₁₃₉	—	2	2	no	—
258	C₂²×C₄×C₁₃₉	—	2	2	no	—
259	C₂²×C₄×C₁₃₉	—	2	2	no	—
260	C₂²×C₄×C₁₃₉	—	2	2	no	—
261	C₂²×C₄×C₁₃₉	—	2	4	no	—
262	C₂²×C₄×C₁₃₉	—	2	4	no	—
263	C₂²×C₄×C₁₃₉	—	2	2	no	—
264	C₂²×C₄×C₁₃₉	—	2	4	no	—
265	C₂²×C₄×C₁₃₉	—	2	4	no	—
266	C₂²×C₄×C₁₃₉	—	2	4	no	—
267	C₂²×C₄×C₁₃₉	—	2	4	no	—
268	C₂²×C₄×C₁₃₉	—	2	4	no	—
269	C₂²×C₄×C₁₃₉	—	2	2	no	—
270	C₂²×C₄×C₁₃₉	—	4	1	no	—
271	C₂²×C₄×C₁₃₉	—	4	2	no	—
272	C₂²×C₄×C₁₃₉	—	4	2	no	—
273	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
274	C₂²×C₄×C₁₃₉	#41	1	4	yes	—
275	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
276	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
277	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
278	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
279	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
280	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
281	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
282	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
283	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
284	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
285	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
286	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
287	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
288	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
289	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
290	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
291	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
292	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
293	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
294	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
295	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
296	C₄⋊C₄×C₁₃₉	—	2	4	no	—
297	C₄⋊C₄×C₁₃₉	—	2	4	no	—
298	C₄⋊C₄×C₁₃₉	—	2	4	no	—
299	C₄⋊C₄×C₁₃₉	—	2	4	no	—
300	C₄⋊C₄×C₁₃₉	—	2	4	no	—
301	C₄⋊C₄×C₁₃₉	—	2	4	no	—
302	C₄⋊C₄×C₁₃₉	—	2	4	no	—
303	C₄⋊C₄×C₁₃₉	—	2	4	no	—
304	C₄⋊C₄×C₁₃₉	—	2	4	no	—
305	C₄⋊C₄×C₁₃₉	—	2	4	no	—
306	C₄⋊C₄×C₁₃₉	—	2	4	no	—
307	C₄⋊C₄×C₁₃₉	—	2	4	no	—
308	C₄⋊C₄×C₁₃₉	—	2	4	no	—
309	C₄⋊C₄×C₁₃₉	—	2	4	no	—
310	C₄⋊C₄×C₁₃₉	—	2	4	no	—
311	C₄⋊C₄×C₁₃₉	—	2	4	no	—
312	C₄⋊C₄×C₁₃₉	—	2	2	no	—
313	C₄⋊C₄×C₁₃₉	—	2	2	no	—
314	C₄⋊C₄×C₁₃₉	—	2	2	no	—
315	C₄⋊C₄×C₁₃₉	—	2	2	no	—
316	C₄⋊C₄×C₁₃₉	—	2	2	no	—
317	C₄⋊C₄×C₁₃₉	—	2	2	no	—
318	C₄⋊C₄×C₁₃₉	—	2	4	no	—
319	C₄⋊C₄×C₁₃₉	—	2	4	no	—
320	C₄⋊C₄×C₁₃₉	—	2	4	no	—
321	C₄⋊C₄×C₁₃₉	—	2	2	no	—
322	C₄⋊C₄×C₁₃₉	—	2	2	no	—
323	C₄⋊C₄×C₁₃₉	—	4	2	no	—
324	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
325	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
326	C₄⋊C₄×C₁₃₉	#41	1	4	yes	—
327	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
328	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
329	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
330	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
331	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
332	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
333	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
334	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
335	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
336	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
337	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
338	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
339	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
340	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
341	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
342	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
343	C₂²⋊C₄×C₁₃₉	#41	1	4	yes	—
344	C₄²×C₁₃₉	—	2	4	no	—
345	C₄²×C₁₃₉	—	2	4	no	—
346	C₄²×C₁₃₉	—	2	4	no	—
347	C₄²×C₁₃₉	—	2	2	no	—
348	C₄²×C₁₃₉	—	2	2	no	—
349	C₄²×C₁₃₉	—	2	2	no	—
350	C₄²×C₁₃₉	—	2	2	no	—
351	C₄²×C₁₃₉	—	2	2	no	—
352	C₄²×C₁₃₉	—	2	2	no	—
353	C₄²×C₁₃₉	—	2	2	no	—
354	C₄²×C₁₃₉	—	2	2	no	—
355	C₄²×C₁₃₉	—	2	2	no	—
356	C₄²×C₁₃₉	—	2	2	no	—
357	C₄²×C₁₃₉	—	2	2	no	—
358	C₄²×C₁₃₉	—	2	2	no	—
359	C₄²×C₁₃₉	—	4	1	no	—
360	C₄²×C₁₃₉	—	4	1	no	—
361	C₄²×C₁₃₉	C₂×D₄	1	4	yes	—
362	C₄²×C₁₃₉	C₂×D₄	1	4	yes	—
363	C₂³×C₁₃₉	—	2	1	no	—
364	C₂³×C₁₃₉	—	2	1	no	—
365	C₂³×C₁₃₉	—	2	1	no	—
366	C₂³×C₁₃₉	—	2	1	no	—
367	C₂³×C₁₃₉	—	2	2	no	—
368	C₂³×C₁₃₉	—	2	2	no	—
369	C₂³×C₁₃₉	—	2	2	no	—
370	C₂³×C₁₃₉	—	2	2	no	—
371	C₂³×C₁₃₉	—	2	2	no	—
372	C₂³×C₁₃₉	—	2	2	no	—
373	C₂³×C₁₃₉	—	2	2	no	—
374	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
375	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
376	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
377	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
378	Q₈×C₁₃₉	—	4	8	no	—
379	D₄×C₁₃₉	—	4	8	no	—
380	D₄×C₁₃₉	—	4	4	no	—
381	C₂×C₄×C₁₃₉	—	2	8	no	—
382	C₂×C₄×C₁₃₉	—	2	2	no	—
383	C₂×C₄×C₁₃₉	—	2	1	no	—
384	C₂×C₄×C₁₃₉	—	2	1	no	—
385	C₂×C₄×C₁₃₉	—	2	1	no	—
386	C₂×C₄×C₁₃₉	—	2	1	no	—
387	C₂×C₄×C₁₃₉	—	2	1	no	—
388	C₂×C₄×C₁₃₉	—	2	1	no	—
389	C₂×C₄×C₁₃₉	—	2	1	no	—
390	C₂×C₄×C₁₃₉	—	2	1	no	—
391	C₂×C₄×C₁₃₉	—	2	1	no	—
392	C₂×C₄×C₁₃₉	—	2	1	no	—
393	C₂×C₄×C₁₃₉	—	2	1	no	—
394	C₂×C₄×C₁₃₉	—	2	1	no	—
395	C₂×C₄×C₁₃₉	—	2	1	no	—
396	C₂×C₄×C₁₃₉	—	2	1	no	—
397	C₂×C₄×C₁₃₉	—	2	1	no	—
398	C₂×C₄×C₁₃₉	—	2	1	no	—
399	C₂×C₄×C₁₃₉	—	2	1	no	—
400	C₂×C₄×C₁₃₉	—	2	1	no	—
401	C₂×C₄×C₁₃₉	—	2	1	no	—
402	C₂×C₄×C₁₃₉	—	2	1	no	—
403	C₂×C₄×C₁₃₉	—	2	2	no	—
404	C₂×C₄×C₁₃₉	—	2	8	no	—
405	C₂×C₄×C₁₃₉	—	2	2	no	—
406	C₂×C₄×C₁₃₉	—	2	2	no	—
407	C₂×C₄×C₁₃₉	—	2	2	no	—
408	C₂×C₄×C₁₃₉	—	2	2	no	—
409	C₂×C₄×C₁₃₉	—	2	2	no	—
410	C₂×C₄×C₁₃₉	—	2	2	no	—
411	C₂×C₄×C₁₃₉	—	2	1	no	—
412	C₂×C₄×C₁₃₉	—	2	1	no	—
413	C₂×C₄×C₁₃₉	—	2	1	no	—
414	C₂×C₄×C₁₃₉	—	2	1	no	—
415	C₂×C₄×C₁₃₉	—	2	2	no	—
416	C₂×C₄×C₁₃₉	—	2	2	no	—
417	C₂×C₄×C₁₃₉	—	2	2	no	—
418	C₂×C₄×C₁₃₉	—	2	2	no	—
419	C₂×C₄×C₁₃₉	—	2	2	no	—
420	C₂×C₄×C₁₃₉	—	2	2	no	—
421	C₂×C₄×C₁₃₉	—	2	2	no	—
422	C₂×C₄×C₁₃₉	—	2	2	no	—
423	C₂×C₄×C₁₃₉	—	2	1	no	—
424	C₂×C₄×C₁₃₉	—	2	1	no	—
425	C₂×C₄×C₁₃₉	—	2	2	no	—
426	C₂×C₄×C₁₃₉	—	2	2	no	—
427	C₂×C₄×C₁₃₉	—	2	1	no	—
428	C₂×C₄×C₁₃₉	—	2	1	no	—
429	C₂×C₄×C₁₃₉	—	2	1	no	—
430	C₂×C₄×C₁₃₉	—	2	2	no	—
431	C₂×C₄×C₁₃₉	—	2	2	no	—
432	C₂×C₄×C₁₃₉	—	4	8	no	—
433	C₂×C₄×C₁₃₉	—	4	8	no	—
434	C₂×C₄×C₁₃₉	—	4	4	no	—
435	C₂×C₄×C₁₃₉	—	4	8	no	—
436	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
437	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
438	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
439	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
440	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
441	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
442	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
443	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
444	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
445	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
446	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
447	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
448	C₂×C₄×C₁₃₉	2₋¹⁺⁴	1	2	yes	—
449	C₂×C₄×C₁₃₉	2₋¹⁺⁴	1	2	yes	—
450	C₂²×C₁₃₉	—	2	2	no	—
451	C₂²×C₁₃₉	—	2	2	no	—
452	C₂²×C₁₃₉	—	2	2	no	—
453	C₂²×C₁₃₉	—	2	2	no	—
454	C₂²×C₁₃₉	—	2	2	no	—
455	C₂²×C₁₃₉	—	2	2	no	—
456	C₂²×C₁₃₉	—	4	2	no	—
457	C₂²×C₁₃₉	—	4	2	no	—
458	C₂²×C₁₃₉	—	4	2	no	—
459	C₂²×C₁₃₉	—	4	2	no	—
460	C₂²×C₁₃₉	—	4	2	no	—
461	C₂²×C₁₃₉	—	4	2	no	—
462	C₂²×C₁₃₉	—	4	2	no	—
463	C₂²×C₁₃₉	#532	1	4	yes	—
464	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
465	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
466	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
467	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
468	C₂²×C₁₃₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
469	C₂²×C₁₃₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
470	C₂²×C₁₃₉	#585	1	1	yes	characteristic
471	C₄×C₁₃₉	—	2	2	no	—
472	C₄×C₁₃₉	—	2	2	no	—
473	C₄×C₁₃₉	—	2	2	no	—
474	C₄×C₁₃₉	—	2	4	no	—
475	C₄×C₁₃₉	—	2	2	no	—
476	C₄×C₁₃₉	—	2	2	no	—
477	C₄×C₁₃₉	—	2	2	no	—
478	C₄×C₁₃₉	—	2	2	no	—
479	C₄×C₁₃₉	—	2	2	no	—
480	C₄×C₁₃₉	—	2	2	no	—
481	C₄×C₁₃₉	—	2	2	no	—
482	C₄×C₁₃₉	—	4	2	no	—
483	C₄×C₁₃₉	—	4	2	no	—
484	C₄×C₁₃₉	—	4	2	no	—
485	C₄×C₁₃₉	—	4	2	no	—
486	C₄×C₁₃₉	—	4	2	no	—
487	C₄×C₁₃₉	—	4	1	no	—
488	C₄×C₁₃₉	—	4	1	no	—
489	C₄×C₁₃₉	—	4	2	no	—
490	C₄×C₁₃₉	—	4	1	no	—
491	C₄×C₁₃₉	#552	1	4	yes	complemented
492	C₂×C₁₃₉	—	2	4	no	—
493	C₂×C₁₃₉	—	8	2	no	—
494	C₂×C₁₃₉	C₂×#532	1	1	yes	characteristic
495	C₂×C₁₃₉	D₄×#41	1	1	yes	characteristic
496	C₂×C₁₃₉	C₂×#552	1	1	yes	characteristic
497	C₂×C₁₃₉	#3482	1	1	yes	characteristic
498	C₂×C₁₃₉	#3495	1	1	yes	characteristic
499	C₂×C₁₃₉	#3499	1	1	yes	characteristic
500	C₂×C₁₃₉	#3515	1	1	yes	characteristic
501	#36265	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
502	C₁₃₉	#36265	1	1	yes	characteristic, direct product factor, Sylow
503	C₂×#552	C₂×C₁₃₉	1	2	yes	complemented
504	#2860	C₂×C₁₃₉	1	1	yes	characteristic, complemented
505	#2859	C₂×C₁₃₉	1	1	yes	characteristic, complemented
506	#2854	C₂×C₁₃₉	1	1	yes	characteristic
507	#2611	C₂×C₁₃₉	1	2	yes	complemented
508	#2604	C₂×C₁₃₉	1	2	yes	complemented
509	#2556	C₂×C₁₃₉	1	2	yes	complemented
510	#2519	C₂×C₁₃₉	1	2	yes	complemented
511	#2512	C₂×C₁₃₉	1	1	yes	characteristic, complemented
512	#2506	C₂×C₁₃₉	1	1	yes	characteristic, complemented
513	#2506	C₂×C₁₃₉	1	1	yes	characteristic, complemented
514	#2501	C₂×C₁₃₉	1	1	yes	characteristic
515	#2488	C₂×C₁₃₉	1	2	yes	complemented
516	#2452	C₂×C₁₃₉	1	1	yes	characteristic, complemented
517	#2440	C₂×C₁₃₉	1	1	yes	characteristic, complemented
518	#2413	C₂×C₁₃₉	1	2	yes	complemented
519	#2361	C₂×C₁₃₉	1	1	yes	characteristic
520	#2359	C₂×C₁₃₉	1	2	yes	complemented
521	#2344	C₂×C₁₃₉	1	1	yes	characteristic, complemented
522	C₄×C₄⋊Q₈	C₂×C₁₃₉	1	1	yes	characteristic, complemented
523	#2293	C₂×C₁₃₉	1	1	yes	characteristic, complemented
524	C₂×#389	C₂×C₁₃₉	1	1	yes	characteristic, complemented
525	C₄×#117	C₂×C₁₃₉	1	1	yes	characteristic, complemented
526	#552	—	2	16	no	—
527	C₂×C₄⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
528	C₂×#126	C₂²×C₁₃₉	1	2	yes	—
529	C₂×#126	C₂²×C₁₃₉	1	2	yes	—
530	C₂×#125	C₂²×C₁₃₉	1	2	yes	—
531	C₂×#125	C₂²×C₁₃₉	1	2	yes	—
532	C₂×#125	C₂²×C₁₃₉	1	2	yes	—
533	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
534	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
535	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
536	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
537	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
538	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
539	C₂×C₄×Q₈	C₂²×C₁₃₉	1	2	yes	—
540	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
541	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
542	C₂×#117	C₂²×C₁₃₉	1	2	yes	—
543	C₂×#117	C₂²×C₁₃₉	1	2	yes	—
544	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
545	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
546	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
547	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
548	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
549	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
550	#400	C₂²×C₁₃₉	1	2	yes	—
551	#400	C₂²×C₁₃₉	1	2	yes	—
552	#399	C₂²×C₁₃₉	1	2	yes	—
553	#399	C₂²×C₁₃₉	1	2	yes	—
554	#398	C₂²×C₁₃₉	1	2	yes	—
555	#398	C₂²×C₁₃₉	1	2	yes	—
556	#398	C₂²×C₁₃₉	1	2	yes	—
557	#397	C₂²×C₁₃₉	1	2	yes	—
558	#396	C₂²×C₁₃₉	1	2	yes	—
559	#396	C₂²×C₁₃₉	1	2	yes	—
560	#395	C₂²×C₁₃₉	1	2	yes	—
561	#393	C₂²×C₁₃₉	1	2	yes	—
562	#391	C₂²×C₁₃₉	1	2	yes	—
563	#390	C₂²×C₁₃₉	1	1	yes	characteristic
564	#390	C₂²×C₁₃₉	1	1	yes	characteristic
565	#390	C₂²×C₁₃₉	1	1	yes	characteristic
566	#390	C₂²×C₁₃₉	1	1	yes	characteristic
567	#390	C₂²×C₁₃₉	1	1	yes	characteristic
568	#389	C₂²×C₁₃₉	1	1	yes	characteristic
569	#389	C₂²×C₁₃₉	1	2	yes	—
570	#389	C₂²×C₁₃₉	1	1	yes	characteristic
571	#389	C₂²×C₁₃₉	1	1	yes	characteristic
572	#389	C₂²×C₁₃₉	1	1	yes	characteristic
573	#389	C₂²×C₁₃₉	1	1	yes	characteristic
574	#389	C₂²×C₁₃₉	1	2	yes	—
575	#389	C₂²×C₁₃₉	1	1	yes	characteristic
576	#389	C₂²×C₁₃₉	1	2	yes	—
577	#389	C₂²×C₁₃₉	1	1	yes	characteristic
578	#389	C₂²×C₁₃₉	1	2	yes	—
579	#389	C₂²×C₁₃₉	1	1	yes	characteristic
580	#389	C₂²×C₁₃₉	1	1	yes	characteristic
581	#389	C₂²×C₁₃₉	1	1	yes	characteristic
582	#389	C₂²×C₁₃₉	1	1	yes	characteristic
583	#389	C₂²×C₁₃₉	1	2	yes	—
584	#388	C₂²×C₁₃₉	1	2	yes	—
585	#388	C₂²×C₁₃₉	1	2	yes	—
586	#388	C₂²×C₁₃₉	1	2	yes	—
587	#388	C₂²×C₁₃₉	1	2	yes	—
588	#388	C₂²×C₁₃₉	1	2	yes	—
589	#388	C₂²×C₁₃₉	1	2	yes	—
590	#388	C₂²×C₁₃₉	1	2	yes	—
591	#388	C₂²×C₁₃₉	1	2	yes	—
592	#388	C₂²×C₁₃₉	1	2	yes	—
593	#387	C₂²×C₁₃₉	1	2	yes	—
594	#387	C₂²×C₁₃₉	1	2	yes	—
595	#387	C₂²×C₁₃₉	1	2	yes	—
596	#387	C₂²×C₁₃₉	1	2	yes	—
597	#386	C₂²×C₁₃₉	1	2	yes	—
598	#386	C₂²×C₁₃₉	1	2	yes	—
599	#385	C₂²×C₁₃₉	1	2	yes	—
600	#385	C₂²×C₁₃₉	1	2	yes	—
601	#385	C₂²×C₁₃₉	1	2	yes	—
602	#384	C₂²×C₁₃₉	1	1	yes	characteristic
603	#384	C₂²×C₁₃₉	1	1	yes	characteristic
604	#384	C₂²×C₁₃₉	1	1	yes	characteristic
605	#382	C₂²×C₁₃₉	1	2	yes	—
606	#381	C₂²×C₁₃₉	1	2	yes	—
607	#380	C₂²×C₁₃₉	1	1	yes	characteristic
608	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
609	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
610	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
611	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
612	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
613	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
614	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
615	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
616	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
617	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
618	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
619	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
620	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
621	#376	C₂²×C₁₃₉	1	1	yes	characteristic
622	#376	C₂²×C₁₃₉	1	1	yes	characteristic
623	C₂×#95	C₂²×C₁₃₉	1	2	yes	—
624	C₄³	C₂²×C₁₃₉	1	1	yes	characteristic
625	C₄³	C₂²×C₁₃₉	1	1	yes	characteristic
626	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
627	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
628	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
629	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
630	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
631	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
632	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
633	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
634	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
635	C₄⋊Q₈	—	2	4	no	—
636	#126	—	2	8	no	—
637	#126	—	2	8	no	—
638	#125	—	2	8	no	—
639	#125	—	2	8	no	—
640	#125	—	2	8	no	—
641	#123	—	2	8	no	—
642	#123	—	2	8	no	—
643	#123	—	2	8	no	—
644	C₂²⋊Q₈	—	2	8	no	—
645	C₂²⋊Q₈	—	2	8	no	—
646	#121	—	2	4	no	—
647	C₄×Q₈	—	2	8	no	—
648	C₄×D₄	—	2	4	no	—
649	C₄×D₄	—	2	8	no	—
650	#117	—	2	8	no	—
651	#117	—	2	4	no	—
652	#117	—	2	8	no	—
653	#117	D₄×C₁₃₉	1	8	yes	complemented
654	C₂×C₄⋊C₄	—	2	8	no	—
655	C₂×C₄⋊C₄	—	2	4	no	—
656	C₂×C₄⋊C₄	—	2	4	no	—
657	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
658	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
659	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
660	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
661	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
662	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
663	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
664	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
665	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
666	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
667	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
668	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
669	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
670	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
671	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
672	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
673	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
674	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
675	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
676	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
677	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
678	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
679	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
680	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
681	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
682	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
683	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
684	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
685	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
686	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
687	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
688	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
689	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
690	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
691	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
692	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
693	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
694	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
695	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
696	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
697	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
698	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
699	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
700	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
701	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
702	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
703	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
704	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
705	C₂×C₄²	—	2	4	no	—
706	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
707	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
708	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
709	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
710	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
711	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
712	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
713	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
714	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
715	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
716	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
717	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
718	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
719	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
720	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
721	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
722	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
723	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
724	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
725	#95	C₂³×C₁₃₉	1	2	yes	—
726	#95	C₂³×C₁₃₉	1	2	yes	—
727	#95	C₂³×C₁₃₉	1	2	yes	—
728	#95	C₂³×C₁₃₉	1	2	yes	—
729	#95	C₂³×C₁₃₉	1	1	yes	characteristic
730	#95	C₂³×C₁₃₉	1	1	yes	characteristic
731	#95	C₂³×C₁₃₉	1	1	yes	characteristic
732	#95	C₂³×C₁₃₉	1	1	yes	characteristic
733	#95	C₂³×C₁₃₉	1	1	yes	characteristic
734	#95	C₂³×C₁₃₉	1	1	yes	characteristic
735	#95	C₂³×C₁₃₉	1	1	yes	characteristic
736	#95	C₂³×C₁₃₉	1	1	yes	characteristic
737	#95	C₂³×C₁₃₉	1	2	yes	—
738	#95	C₂³×C₁₃₉	1	2	yes	—
739	#95	C₂³×C₁₃₉	1	2	yes	—
740	#95	C₂³×C₁₃₉	1	2	yes	—
741	#95	C₂³×C₁₃₉	1	2	yes	—
742	#95	C₂³×C₁₃₉	1	2	yes	—
743	#95	C₂³×C₁₃₉	1	2	yes	—
744	#95	C₂³×C₁₃₉	1	2	yes	—
745	#95	C₂³×C₁₃₉	1	2	yes	—
746	#95	C₂³×C₁₃₉	1	2	yes	—
747	#95	C₂³×C₁₃₉	1	2	yes	—
748	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
749	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
750	C₂×Q₈	—	2	4	no	—
751	C₂×Q₈	—	2	4	no	—
752	C₂×Q₈	—	4	2	no	—
753	C₂×D₄	—	2	4	no	—
754	C₂×D₄	—	2	4	no	—
755	C₂×D₄	—	2	4	no	—
756	C₂×D₄	—	2	2	no	—
757	C₂×D₄	—	2	2	no	—
758	C₂×D₄	—	2	2	no	—
759	C₂²×C₄	—	2	2	no	—
760	C₂²×C₄	—	2	2	no	—
761	C₂²×C₄	—	2	2	no	—
762	C₂²×C₄	—	2	2	no	—
763	C₂²×C₄	—	2	4	no	—
764	C₂²×C₄	—	2	4	no	—
765	C₂²×C₄	—	2	2	no	—
766	C₂²×C₄	—	2	4	no	—
767	C₂²×C₄	—	2	4	no	—
768	C₂²×C₄	—	2	4	no	—
769	C₂²×C₄	—	2	4	no	—
770	C₂²×C₄	—	2	4	no	—
771	C₂²×C₄	—	2	2	no	—
772	C₂²×C₄	—	4	1	no	—
773	C₂²×C₄	—	4	2	no	—
774	C₂²×C₄	—	4	2	no	—
775	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
776	C₂²×C₄	#41×C₁₃₉	1	4	yes	—
777	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
778	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
779	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
780	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
781	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
782	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
783	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
784	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
785	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
786	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
787	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
788	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
789	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
790	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
791	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
792	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
793	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
794	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
795	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
796	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
797	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
798	C₄⋊C₄	—	2	4	no	—
799	C₄⋊C₄	—	2	4	no	—
800	C₄⋊C₄	—	2	4	no	—
801	C₄⋊C₄	—	2	4	no	—
802	C₄⋊C₄	—	2	4	no	—
803	C₄⋊C₄	—	2	4	no	—
804	C₄⋊C₄	—	2	4	no	—
805	C₄⋊C₄	—	2	4	no	—
806	C₄⋊C₄	—	2	4	no	—
807	C₄⋊C₄	—	2	4	no	—
808	C₄⋊C₄	—	2	4	no	—
809	C₄⋊C₄	—	2	4	no	—
810	C₄⋊C₄	—	2	4	no	—
811	C₄⋊C₄	—	2	4	no	—
812	C₄⋊C₄	—	2	4	no	—
813	C₄⋊C₄	—	2	4	no	—
814	C₄⋊C₄	—	2	2	no	—
815	C₄⋊C₄	—	2	2	no	—
816	C₄⋊C₄	—	2	2	no	—
817	C₄⋊C₄	—	2	2	no	—
818	C₄⋊C₄	—	2	2	no	—
819	C₄⋊C₄	—	2	2	no	—
820	C₄⋊C₄	—	2	4	no	—
821	C₄⋊C₄	—	2	4	no	—
822	C₄⋊C₄	—	2	4	no	—
823	C₄⋊C₄	—	2	2	no	—
824	C₄⋊C₄	—	2	2	no	—
825	C₄⋊C₄	—	4	2	no	—
826	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
827	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
828	C₄⋊C₄	#41×C₁₃₉	1	4	yes	—
829	C₂²⋊C₄	—	2	4	no	—
830	C₂²⋊C₄	—	2	2	no	—
831	C₂²⋊C₄	—	2	4	no	—
832	C₂²⋊C₄	—	2	4	no	—
833	C₂²⋊C₄	—	2	4	no	—
834	C₂²⋊C₄	—	2	4	no	—
835	C₂²⋊C₄	—	2	4	no	—
836	C₂²⋊C₄	—	2	4	no	—
837	C₂²⋊C₄	—	2	4	no	—
838	C₂²⋊C₄	—	2	4	no	—
839	C₂²⋊C₄	—	2	4	no	—
840	C₂²⋊C₄	—	2	4	no	—
841	C₂²⋊C₄	—	4	2	no	—
842	C₂²⋊C₄	—	4	2	no	—
843	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
844	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
845	C₂²⋊C₄	#41×C₁₃₉	1	4	yes	—
846	C₄²	—	2	4	no	—
847	C₄²	—	2	4	no	—
848	C₄²	—	2	4	no	—
849	C₄²	—	2	2	no	—
850	C₄²	—	2	2	no	—
851	C₄²	—	2	2	no	—
852	C₄²	—	2	2	no	—
853	C₄²	—	2	2	no	—
854	C₄²	—	2	2	no	—
855	C₄²	—	2	2	no	—
856	C₄²	—	2	2	no	—
857	C₄²	—	2	2	no	—
858	C₄²	—	2	2	no	—
859	C₄²	—	2	2	no	—
860	C₄²	—	2	2	no	—
861	C₄²	—	4	1	no	—
862	C₄²	—	4	1	no	—
863	C₄²	C₂×D₄×C₁₃₉	1	4	yes	—
864	C₄²	C₂×D₄×C₁₃₉	1	4	yes	—
865	C₂³	—	2	1	no	—
866	C₂³	—	2	1	no	—
867	C₂³	—	2	1	no	—
868	C₂³	—	2	1	no	—
869	C₂³	—	2	2	no	—
870	C₂³	—	2	2	no	—
871	C₂³	—	2	2	no	—
872	C₂³	—	2	2	no	—
873	C₂³	—	2	2	no	—
874	C₂³	—	2	2	no	—
875	C₂³	—	2	2	no	—
876	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
877	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
878	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
879	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
880	Q₈	—	4	8	no	—
881	D₄	—	4	8	no	—
882	D₄	—	4	4	no	—
883	C₂×C₄	—	2	8	no	—
884	C₂×C₄	—	2	2	no	—
885	C₂×C₄	—	2	1	no	—
886	C₂×C₄	—	2	1	no	—
887	C₂×C₄	—	2	1	no	—
888	C₂×C₄	—	2	1	no	—
889	C₂×C₄	—	2	1	no	—
890	C₂×C₄	—	2	1	no	—
891	C₂×C₄	—	2	1	no	—
892	C₂×C₄	—	2	1	no	—
893	C₂×C₄	—	2	1	no	—
894	C₂×C₄	—	2	1	no	—
895	C₂×C₄	—	2	1	no	—
896	C₂×C₄	—	2	1	no	—
897	C₂×C₄	—	2	1	no	—
898	C₂×C₄	—	2	1	no	—
899	C₂×C₄	—	2	1	no	—
900	C₂×C₄	—	2	1	no	—
901	C₂×C₄	—	2	1	no	—
902	C₂×C₄	—	2	1	no	—
903	C₂×C₄	—	2	1	no	—
904	C₂×C₄	—	2	1	no	—
905	C₂×C₄	—	2	2	no	—
906	C₂×C₄	—	2	8	no	—
907	C₂×C₄	—	2	2	no	—
908	C₂×C₄	—	2	2	no	—
909	C₂×C₄	—	2	2	no	—
910	C₂×C₄	—	2	2	no	—
911	C₂×C₄	—	2	2	no	—
912	C₂×C₄	—	2	2	no	—
913	C₂×C₄	—	2	1	no	—
914	C₂×C₄	—	2	1	no	—
915	C₂×C₄	—	2	1	no	—
916	C₂×C₄	—	2	1	no	—
917	C₂×C₄	—	2	2	no	—
918	C₂×C₄	—	2	2	no	—
919	C₂×C₄	—	2	2	no	—
920	C₂×C₄	—	2	2	no	—
921	C₂×C₄	—	2	2	no	—
922	C₂×C₄	—	2	2	no	—
923	C₂×C₄	—	2	2	no	—
924	C₂×C₄	—	2	2	no	—
925	C₂×C₄	—	2	1	no	—
926	C₂×C₄	—	2	1	no	—
927	C₂×C₄	—	2	2	no	—
928	C₂×C₄	—	2	2	no	—
929	C₂×C₄	—	2	1	no	—
930	C₂×C₄	—	2	1	no	—
931	C₂×C₄	—	2	1	no	—
932	C₂×C₄	—	2	2	no	—
933	C₂×C₄	—	2	2	no	—
934	C₂×C₄	—	4	8	no	—
935	C₂×C₄	—	4	8	no	—
936	C₂×C₄	—	4	4	no	—
937	C₂×C₄	—	4	8	no	—
938	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
939	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
940	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
941	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
942	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
943	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
944	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
945	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
946	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
947	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
948	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
949	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
950	C₂×C₄	2₋¹⁺⁴×C₁₃₉	1	2	yes	—
951	C₂×C₄	2₋¹⁺⁴×C₁₃₉	1	2	yes	—
952	C₂²	—	2	2	no	—
953	C₂²	—	2	2	no	—
954	C₂²	—	2	2	no	—
955	C₂²	—	2	2	no	—
956	C₂²	—	2	2	no	—
957	C₂²	—	2	2	no	—
958	C₂²	—	4	2	no	—
959	C₂²	—	4	2	no	—
960	C₂²	—	4	2	no	—
961	C₂²	—	4	2	no	—
962	C₂²	—	4	2	no	—
963	C₂²	—	4	2	no	—
964	C₂²	—	4	2	no	—
965	C₂²	#532×C₁₃₉	1	4	yes	—
966	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
967	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
968	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
969	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
970	C₂²	C₂×2₋¹⁺⁴×C₁₃₉	1	1	yes	characteristic
971	C₂²	C₂×2₋¹⁺⁴×C₁₃₉	1	1	yes	characteristic
972	C₂²	#585×C₁₃₉	1	1	yes	characteristic
973	C₄	—	2	2	no	—
974	C₄	—	2	2	no	—
975	C₄	—	2	2	no	—
976	C₄	—	2	4	no	—
977	C₄	—	2	2	no	—
978	C₄	—	2	2	no	—
979	C₄	—	2	2	no	—
980	C₄	—	2	2	no	—
981	C₄	—	2	2	no	—
982	C₄	—	2	2	no	—
983	C₄	—	2	2	no	—
984	C₄	—	4	2	no	—
985	C₄	—	4	2	no	—
986	C₄	—	4	2	no	—
987	C₄	—	4	2	no	—
988	C₄	—	4	2	no	—
989	C₄	—	4	1	no	—
990	C₄	—	4	1	no	—
991	C₄	—	4	2	no	—
992	C₄	—	4	1	no	—
993	C₄	#552×C₁₃₉	1	4	yes	complemented
994	C₂	—	2	4	no	—
995	C₂	—	8	2	no	—
996	C₂	C₂×#532×C₁₃₉	1	1	yes	characteristic
997	C₂	D₄×#41×C₁₃₉	1	1	yes	characteristic
998	C₂	C₂×#552×C₁₃₉	1	1	yes	characteristic
999	C₂	#3482×C₁₃₉	1	1	yes	characteristic
1000	C₂	#3495×C₁₃₉	1	1	yes	characteristic
1001	C₂	#3499×C₁₃₉	1	1	yes	characteristic
1002	C₂	#3515×C₁₃₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
prime radical	C₂×#121×C₁₃₉	C₂²
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×#552×C₁₃₉	C₂	semidirect
2. #2860×C₁₃₉	C₂	semidirect
3. #2859×C₁₃₉	C₂	semidirect
5. #2611×C₁₃₉	C₂	semidirect
6. #2604×C₁₃₉	C₂	semidirect
7. #2556×C₁₃₉	C₂	semidirect
8. #2519×C₁₃₉	C₂	semidirect
9. #2512×C₁₃₉	C₂	semidirect
10. #2506×C₁₃₉	C₂	semidirect
11. #2506×C₁₃₉	C₂	semidirect
13. #2488×C₁₃₉	C₂	semidirect
14. #2452×C₁₃₉	C₂	semidirect
15. #2440×C₁₃₉	C₂	semidirect
16. #2413×C₁₃₉	C₂	semidirect
18. #2359×C₁₃₉	C₂	semidirect
19. #2344×C₁₃₉	C₂	semidirect
20. C₄×C₄⋊Q₈×C₁₃₉	C₂	semidirect
21. #2293×C₁₃₉	C₂	semidirect
22. C₂×#389×C₁₃₉	C₂	semidirect
23. C₄×#117×C₁₃₉	C₂	semidirect
151. #117×C₁₃₉	D₄	semidirect
491. C₄×C₁₃₉	#552	semidirect
501. #36265	C₁₃₉	direct (N × H)
502. C₁₃₉	#36265	direct (N × H)
503. C₂×#552	C₂×C₁₃₉	semidirect
504. #2860	C₂×C₁₃₉	semidirect
505. #2859	C₂×C₁₃₉	semidirect
507. #2611	C₂×C₁₃₉	semidirect
508. #2604	C₂×C₁₃₉	semidirect
509. #2556	C₂×C₁₃₉	semidirect
510. #2519	C₂×C₁₃₉	semidirect
511. #2512	C₂×C₁₃₉	semidirect
512. #2506	C₂×C₁₃₉	semidirect
513. #2506	C₂×C₁₃₉	semidirect
515. #2488	C₂×C₁₃₉	semidirect
516. #2452	C₂×C₁₃₉	semidirect
517. #2440	C₂×C₁₃₉	semidirect
518. #2413	C₂×C₁₃₉	semidirect
520. #2359	C₂×C₁₃₉	semidirect
521. #2344	C₂×C₁₃₉	semidirect
522. C₄×C₄⋊Q₈	C₂×C₁₃₉	semidirect
523. #2293	C₂×C₁₃₉	semidirect
524. C₂×#389	C₂×C₁₃₉	semidirect
525. C₄×#117	C₂×C₁₃₉	semidirect
653. #117	D₄×C₁₃₉	semidirect
993. C₄	#552×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#552×C₁₃₉	2
#2860×C₁₃₉	2
#2859×C₁₃₉	2
#2854×C₁₃₉	2
#2611×C₁₃₉	2
#2604×C₁₃₉	2
#2556×C₁₃₉	2
#2519×C₁₃₉	2
#2512×C₁₃₉	2
#2506×C₁₃₉	2
#2501×C₁₃₉	2
#2488×C₁₃₉	2
#2452×C₁₃₉	2
#2440×C₁₃₉	2
#2413×C₁₃₉	2
#2361×C₁₃₉	2
#2359×C₁₃₉	2
#2344×C₁₃₉	2
C₄×C₄⋊Q₈×C₁₃₉	2
#2293×C₁₃₉	2
C₂×#389×C₁₃₉	2
C₄×#117×C₁₃₉	2
#36265	139

Subgroups — C139×#36265 #48030861

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36265 #48030861