Subgroups — C₁₃₉×#36146 #48030742

Order 35584.

3058 conjugacy classes of subgroups.

The subgroup lattice has 990 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#525×C₁₃₉	C₂	1	2	yes	maximal, complemented
2	#2849×C₁₃₉	C₂	1	2	yes	maximal, complemented
3	#2847×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2549×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2543×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2488×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2450×C₁₃₉	C₂	1	2	yes	maximal, complemented
8	#2444×C₁₃₉	C₂	1	2	yes	maximal, complemented
9	#2438×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2430×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2425×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2425×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2419×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2364×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#2359×C₁₃₉	C₂	1	2	yes	maximal, complemented
16	#2349×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2339×C₁₃₉	C₂	1	2	yes	maximal, complemented
18	C₄×#120×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂²×#95×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×#41×C₁₃₉	C₂²	1	2	yes	—
21	C₂⁴×C₄×C₁₃₉	C₂²	1	2	yes	—
22	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic
23	#525×C₁₃₉	—	2	16	no	—
24	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
25	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
26	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
27	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
28	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
29	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
30	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
31	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
32	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
33	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
34	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
35	C₂×#120×C₁₃₉	C₂²	1	1	yes	characteristic
36	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
38	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
39	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
40	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
41	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
42	C₂×#117×C₁₃₉	C₂²	1	2	yes	—
43	#400×C₁₃₉	C₂²	1	2	yes	complemented
44	#400×C₁₃₉	C₂²	1	2	yes	complemented
45	#398×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
46	#398×C₁₃₉	C₂²	1	2	yes	complemented
47	#398×C₁₃₉	C₂²	1	2	yes	complemented
48	#397×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
49	#397×C₁₃₉	C₂²	1	2	yes	complemented
50	#397×C₁₃₉	C₂²	1	2	yes	complemented
51	#396×C₁₃₉	C₂²	1	2	yes	complemented
52	#395×C₁₃₉	C₂²	1	2	yes	complemented
53	#394×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
54	#394×C₁₃₉	C₂²	1	2	yes	complemented
55	#393×C₁₃₉	C₂²	1	2	yes	complemented
56	#392×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
57	#391×C₁₃₉	C₂²	1	2	yes	complemented
58	#391×C₁₃₉	C₂²	1	2	yes	complemented
59	#389×C₁₃₉	C₂²	1	2	yes	complemented
60	#389×C₁₃₉	C₂²	1	2	yes	complemented
61	#388×C₁₃₉	C₂²	1	2	yes	complemented
62	#388×C₁₃₉	C₂²	1	2	yes	complemented
63	#388×C₁₃₉	C₂²	1	2	yes	complemented
64	#387×C₁₃₉	C₂²	1	2	yes	complemented
65	#387×C₁₃₉	C₂²	1	2	yes	complemented
66	#387×C₁₃₉	C₂²	1	2	yes	complemented
67	#386×C₁₃₉	C₂²	1	2	yes	—
68	#386×C₁₃₉	C₂²	1	2	yes	—
69	#386×C₁₃₉	C₂²	1	1	yes	characteristic
70	#386×C₁₃₉	C₂²	1	2	yes	—
71	#386×C₁₃₉	C₂²	1	2	yes	—
72	#386×C₁₃₉	C₂²	1	2	yes	—
73	#386×C₁₃₉	C₂²	1	2	yes	—
74	#386×C₁₃₉	C₂²	1	2	yes	—
75	#386×C₁₃₉	C₂²	1	2	yes	—
76	#386×C₁₃₉	C₂²	1	2	yes	complemented
77	#386×C₁₃₉	C₂²	1	2	yes	complemented
78	#386×C₁₃₉	C₂²	1	2	yes	complemented
79	#385×C₁₃₉	C₂²	1	2	yes	—
80	#385×C₁₃₉	C₂²	1	2	yes	—
81	#385×C₁₃₉	C₂²	1	1	yes	characteristic
82	#385×C₁₃₉	C₂²	1	2	yes	—
83	#385×C₁₃₉	C₂²	1	2	yes	—
84	#385×C₁₃₉	C₂²	1	2	yes	—
85	#385×C₁₃₉	C₂²	1	2	yes	complemented
86	#385×C₁₃₉	C₂²	1	2	yes	complemented
87	#382×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
88	#381×C₁₃₉	C₂²	1	2	yes	—
89	#381×C₁₃₉	C₂²	1	2	yes	—
90	#381×C₁₃₉	C₂²	1	2	yes	complemented
91	#380×C₁₃₉	C₂²	1	1	yes	characteristic
92	#380×C₁₃₉	C₂²	1	2	yes	—
93	#380×C₁₃₉	C₂²	1	2	yes	complemented
94	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
95	#379×C₁₃₉	C₂²	1	1	yes	characteristic
96	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
97	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
98	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
99	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
100	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic
101	C₂×#95×C₁₃₉	C₂²	1	2	yes	—
102	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic
103	C₂×#95×C₁₃₉	C₂²	1	2	yes	—
104	C₂×#95×C₁₃₉	C₂²	1	2	yes	—
105	C₂×#95×C₁₃₉	C₂²	1	2	yes	—
106	C₂×#95×C₁₃₉	C₂²	1	2	yes	—
107	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
108	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
109	C₂×#41×C₁₃₉	—	2	8	no	—
110	C₂×#41×C₁₃₉	—	2	8	no	—
111	C₂×#41×C₁₃₉	—	4	4	no	—
112	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
113	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
114	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
115	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
116	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
117	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
118	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
119	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
120	C₂³×C₄×C₁₃₉	—	2	8	no	—
121	C₂³×C₄×C₁₃₉	—	2	8	no	—
122	C₂³×C₄×C₁₃₉	—	2	4	no	—
123	C₂³×C₄×C₁₃₉	—	4	4	no	—
124	C₂³×C₄×C₁₃₉	—	4	4	no	—
125	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
126	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
127	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
128	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
129	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
130	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
131	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
132	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
133	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
134	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
135	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
136	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
137	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
138	#123×C₁₃₉	—	2	8	no	—
139	#123×C₁₃₉	—	2	8	no	—
140	#123×C₁₃₉	—	2	8	no	—
141	#123×C₁₃₉	—	4	4	no	—
142	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
143	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
144	#121×C₁₃₉	—	2	8	no	—
145	#121×C₁₃₉	—	2	8	no	—
146	#121×C₁₃₉	—	2	4	no	—
147	#121×C₁₃₉	—	4	4	no	—
148	#120×C₁₃₉	—	2	8	no	—
149	#120×C₁₃₉	D₄	1	8	yes	complemented
150	C₄×D₄×C₁₃₉	—	2	8	no	—
151	C₄×D₄×C₁₃₉	—	2	8	no	—
152	C₄×D₄×C₁₃₉	—	2	4	no	—
153	C₄×D₄×C₁₃₉	—	2	8	no	—
154	C₄×D₄×C₁₃₉	—	2	8	no	—
155	C₄×D₄×C₁₃₉	—	4	4	no	—
156	#117×C₁₃₉	—	2	8	no	—
157	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
158	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
159	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
160	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
172	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
173	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
174	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
175	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
176	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
177	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
178	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
179	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
180	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
181	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
182	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
183	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
184	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
185	C₂×C₂²⋊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	1	yes	characteristic
193	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
194	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
195	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
196	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
197	#95×C₁₃₉	C₂³	1	1	yes	characteristic
198	#95×C₁₃₉	C₂³	1	2	yes	—
199	#95×C₁₃₉	C₂³	1	2	yes	—
200	#95×C₁₃₉	C₂³	1	2	yes	—
201	#95×C₁₃₉	C₂³	1	1	yes	characteristic
202	#95×C₁₃₉	C₂³	1	2	yes	—
203	#95×C₁₃₉	C₂³	1	2	yes	—
204	#95×C₁₃₉	C₂³	1	2	yes	—
205	#95×C₁₃₉	C₂³	1	2	yes	—
206	#95×C₁₃₉	C₂³	1	2	yes	—
207	#95×C₁₃₉	C₂³	1	2	yes	—
208	#95×C₁₃₉	C₂³	1	2	yes	—
209	#95×C₁₃₉	C₂³	1	2	yes	—
210	#95×C₁₃₉	C₂³	1	2	yes	—
211	#95×C₁₃₉	C₂³	1	2	yes	—
212	#95×C₁₃₉	C₂³	1	1	yes	characteristic
213	#95×C₁₃₉	C₂³	1	2	yes	—
214	#95×C₁₃₉	C₂³	1	1	yes	characteristic
215	#95×C₁₃₉	C₂³	1	2	yes	—
216	#95×C₁₃₉	C₂³	1	2	yes	—
217	#95×C₁₃₉	C₂³	1	2	yes	—
218	#95×C₁₃₉	C₂³	1	1	yes	characteristic
219	#95×C₁₃₉	C₂³	1	2	yes	—
220	#95×C₁₃₉	C₂³	1	2	yes	—
221	#95×C₁₃₉	C₂³	1	1	yes	characteristic
222	C₂⁴×C₁₃₉	—	2	2	no	—
223	C₂⁴×C₁₃₉	—	2	4	no	—
224	C₂⁴×C₁₃₉	—	2	4	no	—
225	C₂⁴×C₁₃₉	—	2	2	no	—
226	C₂⁴×C₁₃₉	C₂×D₄	1	4	yes	—
227	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
228	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
229	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
230	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
231	#41×C₁₃₉	—	4	32	no	—
232	C₂×Q₈×C₁₃₉	—	2	4	no	—
233	C₂×Q₈×C₁₃₉	—	2	4	no	—
234	C₂×Q₈×C₁₃₉	—	4	2	no	—
235	C₂×D₄×C₁₃₉	—	2	2	no	—
236	C₂×D₄×C₁₃₉	—	2	4	no	—
237	C₂×D₄×C₁₃₉	—	2	4	no	—
238	C₂×D₄×C₁₃₉	—	2	2	no	—
239	C₂×D₄×C₁₃₉	—	2	4	no	—
240	C₂×D₄×C₁₃₉	—	2	4	no	—
241	C₂×D₄×C₁₃₉	—	2	4	no	—
242	C₂×D₄×C₁₃₉	—	2	4	no	—
243	C₂×D₄×C₁₃₉	—	2	4	no	—
244	C₂×D₄×C₁₃₉	—	2	4	no	—
245	C₂×D₄×C₁₃₉	—	2	4	no	—
246	C₂×D₄×C₁₃₉	—	2	4	no	—
247	C₂×D₄×C₁₃₉	—	2	4	no	—
248	C₂×D₄×C₁₃₉	—	2	4	no	—
249	C₂×D₄×C₁₃₉	—	2	4	no	—
250	C₂×D₄×C₁₃₉	—	2	2	no	—
251	C₂×D₄×C₁₃₉	—	4	2	no	—
252	C₂×D₄×C₁₃₉	—	4	2	no	—
253	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
254	C₂×D₄×C₁₃₉	C₂×D₄	1	8	yes	—
255	C₂²×C₄×C₁₃₉	—	2	4	no	—
256	C₂²×C₄×C₁₃₉	—	2	4	no	—
257	C₂²×C₄×C₁₃₉	—	2	4	no	—
258	C₂²×C₄×C₁₃₉	—	2	4	no	—
259	C₂²×C₄×C₁₃₉	—	2	4	no	—
260	C₂²×C₄×C₁₃₉	—	2	4	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	4	no	—
270	C₂²×C₄×C₁₃₉	—	2	4	no	—
271	C₂²×C₄×C₁₃₉	—	2	4	no	—
272	C₂²×C₄×C₁₃₉	—	2	4	no	—
273	C₂²×C₄×C₁₃₉	—	2	4	no	—
274	C₂²×C₄×C₁₃₉	—	2	4	no	—
275	C₂²×C₄×C₁₃₉	—	2	4	no	—
276	C₂²×C₄×C₁₃₉	—	2	4	no	—
277	C₂²×C₄×C₁₃₉	—	2	2	no	—
278	C₂²×C₄×C₁₃₉	—	4	2	no	—
279	C₂²×C₄×C₁₃₉	—	4	2	no	—
280	C₂²×C₄×C₁₃₉	—	4	2	no	—
281	C₂²×C₄×C₁₃₉	—	4	2	no	—
282	C₂²×C₄×C₁₃₉	—	4	2	no	—
283	C₂²×C₄×C₁₃₉	—	4	2	no	—
284	C₂²×C₄×C₁₃₉	—	4	2	no	—
285	C₂²×C₄×C₁₃₉	—	4	2	no	—
286	C₂²×C₄×C₁₃₉	—	4	2	no	—
287	C₂²×C₄×C₁₃₉	—	4	2	no	—
288	C₂²×C₄×C₁₃₉	—	4	2	no	—
289	C₂²×C₄×C₁₃₉	—	4	32	no	—
290	C₂²×C₄×C₁₃₉	—	4	16	no	—
291	C₂²×C₄×C₁₃₉	#41	1	8	yes	complemented
292	C₂²×C₄×C₁₃₉	#41	1	4	yes	complemented
293	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
294	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
295	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
296	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
297	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
298	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
299	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
300	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
301	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
302	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
303	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
304	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
305	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
306	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
307	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
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	4	no	—
313	C₄⋊C₄×C₁₃₉	—	2	4	no	—
314	C₄⋊C₄×C₁₃₉	—	2	2	no	—
315	C₄⋊C₄×C₁₃₉	—	2	2	no	—
316	C₄⋊C₄×C₁₃₉	—	2	4	no	—
317	C₄⋊C₄×C₁₃₉	—	2	4	no	—
318	C₄⋊C₄×C₁₃₉	—	4	2	no	—
319	C₄⋊C₄×C₁₃₉	—	4	2	no	—
320	C₄⋊C₄×C₁₃₉	—	4	2	no	—
321	C₄⋊C₄×C₁₃₉	—	4	2	no	—
322	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
323	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
324	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
325	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
326	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
327	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
328	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
329	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
330	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
331	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
332	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
333	C₂²⋊C₄×C₁₃₉	—	2	2	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	—	4	2	no	—
338	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
339	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
340	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
341	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
342	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	8	yes	—
343	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
344	C₄²×C₁₃₉	—	2	4	no	—
345	C₄²×C₁₃₉	—	2	4	no	—
346	C₄²×C₁₃₉	—	2	2	no	—
347	C₄²×C₁₃₉	—	4	2	no	—
348	C₂³×C₁₃₉	—	2	8	no	—
349	C₂³×C₁₃₉	—	2	8	no	—
350	C₂³×C₁₃₉	—	2	16	no	—
351	C₂³×C₁₃₉	—	2	16	no	—
352	C₂³×C₁₃₉	—	2	8	no	—
353	C₂³×C₁₃₉	—	2	2	no	—
354	C₂³×C₁₃₉	—	2	2	no	—
355	C₂³×C₁₃₉	—	2	2	no	—
356	C₂³×C₁₃₉	—	2	2	no	—
357	C₂³×C₁₃₉	—	2	2	no	—
358	C₂³×C₁₃₉	—	2	2	no	—
359	C₂³×C₁₃₉	—	2	1	no	—
360	C₂³×C₁₃₉	—	2	2	no	—
361	C₂³×C₁₃₉	—	2	2	no	—
362	C₂³×C₁₃₉	—	2	1	no	—
363	C₂³×C₁₃₉	—	2	2	no	—
364	C₂³×C₁₃₉	—	2	2	no	—
365	C₂³×C₁₃₉	—	2	2	no	—
366	C₂³×C₁₃₉	—	2	2	no	—
367	C₂³×C₁₃₉	—	2	2	no	—
368	C₂³×C₁₃₉	—	2	2	no	—
369	C₂³×C₁₃₉	—	2	2	no	—
370	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
371	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
372	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
373	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
374	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
375	C₂³×C₁₃₉	H(5,𝔽₂)	1	4	yes	—
376	C₂³×C₁₃₉	2₋¹⁺⁴	1	2	yes	—
377	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
378	Q₈×C₁₃₉	—	4	8	no	—
379	D₄×C₁₃₉	—	2	16	no	—
380	D₄×C₁₃₉	—	2	8	no	—
381	D₄×C₁₃₉	—	4	8	no	—
382	D₄×C₁₃₉	—	4	8	no	—
383	D₄×C₁₃₉	—	4	8	no	—
384	D₄×C₁₃₉	—	4	8	no	—
385	D₄×C₁₃₉	—	8	2	no	—
386	C₂×C₄×C₁₃₉	—	2	16	no	—
387	C₂×C₄×C₁₃₉	—	2	2	no	—
388	C₂×C₄×C₁₃₉	—	2	2	no	—
389	C₂×C₄×C₁₃₉	—	2	1	no	—
390	C₂×C₄×C₁₃₉	—	2	2	no	—
391	C₂×C₄×C₁₃₉	—	2	2	no	—
392	C₂×C₄×C₁₃₉	—	2	2	no	—
393	C₂×C₄×C₁₃₉	—	2	2	no	—
394	C₂×C₄×C₁₃₉	—	2	2	no	—
395	C₂×C₄×C₁₃₉	—	2	2	no	—
396	C₂×C₄×C₁₃₉	—	2	1	no	—
397	C₂×C₄×C₁₃₉	—	2	2	no	—
398	C₂×C₄×C₁₃₉	—	2	2	no	—
399	C₂×C₄×C₁₃₉	—	2	2	no	—
400	C₂×C₄×C₁₃₉	—	2	2	no	—
401	C₂×C₄×C₁₃₉	—	2	2	no	—
402	C₂×C₄×C₁₃₉	—	2	1	no	—
403	C₂×C₄×C₁₃₉	—	2	2	no	—
404	C₂×C₄×C₁₃₉	—	2	2	no	—
405	C₂×C₄×C₁₃₉	—	2	1	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	2	no	—
412	C₂×C₄×C₁₃₉	—	2	2	no	—
413	C₂×C₄×C₁₃₉	—	2	2	no	—
414	C₂×C₄×C₁₃₉	—	2	2	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	—	4	4	no	—
423	C₂×C₄×C₁₃₉	—	4	8	no	—
424	C₂×C₄×C₁₃₉	—	4	8	no	—
425	C₂×C₄×C₁₃₉	—	4	8	no	—
426	C₂×C₄×C₁₃₉	—	4	8	no	—
427	C₂×C₄×C₁₃₉	—	4	8	no	—
428	C₂×C₄×C₁₃₉	—	4	8	no	—
429	C₂×C₄×C₁₃₉	—	4	8	no	—
430	C₂×C₄×C₁₃₉	—	4	8	no	—
431	C₂×C₄×C₁₃₉	—	4	4	no	—
432	C₂×C₄×C₁₃₉	—	4	8	no	—
433	C₂×C₄×C₁₃₉	—	8	2	no	—
434	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
435	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
436	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
437	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
438	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
439	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
440	C₂²×C₁₃₉	—	2	32	no	—
441	C₂²×C₁₃₉	—	2	4	no	—
442	C₂²×C₁₃₉	—	2	2	no	—
443	C₂²×C₁₃₉	—	2	4	no	—
444	C₂²×C₁₃₉	—	2	4	no	—
445	C₂²×C₁₃₉	—	2	4	no	—
446	C₂²×C₁₃₉	—	2	2	no	—
447	C₂²×C₁₃₉	—	2	4	no	—
448	C₂²×C₁₃₉	—	2	4	no	—
449	C₂²×C₁₃₉	—	2	4	no	—
450	C₂²×C₁₃₉	—	2	4	no	—
451	C₂²×C₁₃₉	—	2	4	no	—
452	C₂²×C₁₃₉	—	2	2	no	—
453	C₂²×C₁₃₉	—	4	1	no	—
454	C₂²×C₁₃₉	—	4	1	no	—
455	C₂²×C₁₃₉	—	4	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	#546	1	8	yes	—
464	C₂²×C₁₃₉	#547	1	4	yes	—
465	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
466	C₂²×C₁₃₉	C₂²×#41	1	2	yes	—
467	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
468	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	2	yes	—
469	C₂²×C₁₃₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
470	C₄×C₁₃₉	—	2	4	no	—
471	C₄×C₁₃₉	—	2	4	no	—
472	C₄×C₁₃₉	—	2	4	no	—
473	C₄×C₁₃₉	—	2	2	no	—
474	C₄×C₁₃₉	—	2	2	no	—
475	C₄×C₁₃₉	—	2	2	no	—
476	C₄×C₁₃₉	—	4	1	no	—
477	C₄×C₁₃₉	—	4	2	no	—
478	C₄×C₁₃₉	—	4	2	no	—
479	C₄×C₁₃₉	—	4	2	no	—
480	C₄×C₁₃₉	—	4	2	no	—
481	C₄×C₁₃₉	—	4	2	no	—
482	C₄×C₁₃₉	—	4	2	no	—
483	C₄×C₁₃₉	—	4	1	no	—
484	C₄×C₁₃₉	—	4	2	no	—
485	C₂×C₁₃₉	—	2	8	no	—
486	C₂×C₁₃₉	—	2	4	no	—
487	C₂×C₁₃₉	—	4	2	no	—
488	C₂×C₁₃₉	—	8	2	no	—
489	C₂×C₁₃₉	#3444	1	1	yes	characteristic
490	C₂×C₁₃₉	C₂×#546	1	2	yes	—
491	C₂×C₁₃₉	C₂×#547	1	1	yes	characteristic
492	C₂×C₁₃₉	#3490	1	1	yes	characteristic
493	C₂×C₁₃₉	#3492	1	2	yes	—
494	#36146	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
495	C₁₃₉	#36146	1	1	yes	characteristic, direct product factor, Sylow
496	C₂×#525	C₂×C₁₃₉	1	2	yes	complemented
497	#2849	C₂×C₁₃₉	1	2	yes	complemented
498	#2847	C₂×C₁₃₉	1	1	yes	characteristic, complemented
499	#2549	C₂×C₁₃₉	1	1	yes	characteristic, complemented
500	#2543	C₂×C₁₃₉	1	1	yes	characteristic, complemented
501	#2488	C₂×C₁₃₉	1	2	yes	complemented
502	#2450	C₂×C₁₃₉	1	2	yes	complemented
503	#2444	C₂×C₁₃₉	1	2	yes	complemented
504	#2438	C₂×C₁₃₉	1	2	yes	complemented
505	#2430	C₂×C₁₃₉	1	2	yes	complemented
506	#2425	C₂×C₁₃₉	1	2	yes	complemented
507	#2425	C₂×C₁₃₉	1	2	yes	complemented
508	#2419	C₂×C₁₃₉	1	2	yes	complemented
509	#2364	C₂×C₁₃₉	1	1	yes	characteristic, complemented
510	#2359	C₂×C₁₃₉	1	2	yes	complemented
511	#2349	C₂×C₁₃₉	1	1	yes	characteristic, complemented
512	#2339	C₂×C₁₃₉	1	2	yes	complemented
513	C₄×#120	C₂×C₁₃₉	1	1	yes	characteristic, complemented
514	C₂²×#95	C₂×C₁₃₉	1	1	yes	characteristic, complemented
515	C₂²×#41	C₂²×C₁₃₉	1	2	yes	—
516	C₂⁴×C₄	C₂²×C₁₃₉	1	2	yes	—
517	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic
518	#525	—	2	16	no	—
519	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
520	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
521	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
522	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
523	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
524	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
525	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
526	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
527	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
528	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
529	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
530	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic
531	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
532	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
533	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
534	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
535	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
536	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
537	C₂×#117	C₂²×C₁₃₉	1	2	yes	—
538	#400	C₂²×C₁₃₉	1	2	yes	complemented
539	#400	C₂²×C₁₃₉	1	2	yes	complemented
540	#398	C₂²×C₁₃₉	1	2	yes	complemented
541	#398	C₂²×C₁₃₉	1	2	yes	complemented
542	#398	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
543	#397	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
544	#397	C₂²×C₁₃₉	1	2	yes	complemented
545	#397	C₂²×C₁₃₉	1	2	yes	complemented
546	#396	C₂²×C₁₃₉	1	2	yes	complemented
547	#395	C₂²×C₁₃₉	1	2	yes	complemented
548	#394	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
549	#394	C₂²×C₁₃₉	1	2	yes	complemented
550	#393	C₂²×C₁₃₉	1	2	yes	complemented
551	#392	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
552	#391	C₂²×C₁₃₉	1	2	yes	complemented
553	#391	C₂²×C₁₃₉	1	2	yes	complemented
554	#389	C₂²×C₁₃₉	1	2	yes	complemented
555	#389	C₂²×C₁₃₉	1	2	yes	complemented
556	#388	C₂²×C₁₃₉	1	2	yes	complemented
557	#388	C₂²×C₁₃₉	1	2	yes	complemented
558	#388	C₂²×C₁₃₉	1	2	yes	complemented
559	#387	C₂²×C₁₃₉	1	2	yes	complemented
560	#387	C₂²×C₁₃₉	1	2	yes	complemented
561	#387	C₂²×C₁₃₉	1	2	yes	complemented
562	#386	C₂²×C₁₃₉	1	2	yes	—
563	#386	C₂²×C₁₃₉	1	2	yes	—
564	#386	C₂²×C₁₃₉	1	2	yes	—
565	#386	C₂²×C₁₃₉	1	2	yes	—
566	#386	C₂²×C₁₃₉	1	2	yes	—
567	#386	C₂²×C₁₃₉	1	2	yes	—
568	#386	C₂²×C₁₃₉	1	2	yes	—
569	#386	C₂²×C₁₃₉	1	2	yes	—
570	#386	C₂²×C₁₃₉	1	1	yes	characteristic
571	#386	C₂²×C₁₃₉	1	2	yes	complemented
572	#386	C₂²×C₁₃₉	1	2	yes	complemented
573	#386	C₂²×C₁₃₉	1	2	yes	complemented
574	#385	C₂²×C₁₃₉	1	2	yes	—
575	#385	C₂²×C₁₃₉	1	2	yes	—
576	#385	C₂²×C₁₃₉	1	2	yes	—
577	#385	C₂²×C₁₃₉	1	2	yes	—
578	#385	C₂²×C₁₃₉	1	2	yes	—
579	#385	C₂²×C₁₃₉	1	1	yes	characteristic
580	#385	C₂²×C₁₃₉	1	2	yes	complemented
581	#385	C₂²×C₁₃₉	1	2	yes	complemented
582	#382	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
583	#381	C₂²×C₁₃₉	1	2	yes	—
584	#381	C₂²×C₁₃₉	1	2	yes	—
585	#381	C₂²×C₁₃₉	1	2	yes	complemented
586	#380	C₂²×C₁₃₉	1	1	yes	characteristic
587	#380	C₂²×C₁₃₉	1	2	yes	—
588	#380	C₂²×C₁₃₉	1	2	yes	complemented
589	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
590	#379	C₂²×C₁₃₉	1	1	yes	characteristic
591	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
592	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
593	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
594	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
595	C₂×#95	C₂²×C₁₃₉	1	2	yes	—
596	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
597	C₂×#95	C₂²×C₁₃₉	1	2	yes	—
598	C₂×#95	C₂²×C₁₃₉	1	2	yes	—
599	C₂×#95	C₂²×C₁₃₉	1	2	yes	—
600	C₂×#95	C₂²×C₁₃₉	1	2	yes	—
601	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
602	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
603	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
604	C₂×#41	—	2	8	no	—
605	C₂×#41	—	2	8	no	—
606	C₂×#41	—	4	4	no	—
607	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
608	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
609	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
610	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
611	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
612	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
613	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
614	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
615	C₂³×C₄	—	2	8	no	—
616	C₂³×C₄	—	2	8	no	—
617	C₂³×C₄	—	2	4	no	—
618	C₂³×C₄	—	4	4	no	—
619	C₂³×C₄	—	4	4	no	—
620	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
621	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
622	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
623	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
624	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
625	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
626	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
627	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
628	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
629	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
630	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
631	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
632	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
633	#123	—	2	8	no	—
634	#123	—	2	8	no	—
635	#123	—	2	8	no	—
636	#123	—	4	4	no	—
637	C₂²⋊Q₈	—	2	8	no	—
638	C₂²⋊Q₈	—	2	8	no	—
639	#121	—	2	8	no	—
640	#121	—	2	8	no	—
641	#121	—	2	4	no	—
642	#121	—	4	4	no	—
643	#120	—	2	8	no	—
644	#120	D₄×C₁₃₉	1	8	yes	complemented
645	C₄×D₄	—	2	8	no	—
646	C₄×D₄	—	2	8	no	—
647	C₄×D₄	—	2	4	no	—
648	C₄×D₄	—	2	8	no	—
649	C₄×D₄	—	2	8	no	—
650	C₄×D₄	—	4	4	no	—
651	#117	—	2	8	no	—
652	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
653	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
654	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
655	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
656	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
657	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
658	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
659	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
660	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
661	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
662	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
663	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
664	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
665	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
666	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
667	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
668	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
669	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
670	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
671	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
672	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
673	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
674	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
675	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
676	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
677	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
678	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
679	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
680	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
681	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
682	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
683	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
684	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
685	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
686	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
687	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
688	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
689	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
690	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
691	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
692	#95	C₂³×C₁₃₉	1	1	yes	characteristic
693	#95	C₂³×C₁₃₉	1	2	yes	—
694	#95	C₂³×C₁₃₉	1	1	yes	characteristic
695	#95	C₂³×C₁₃₉	1	2	yes	—
696	#95	C₂³×C₁₃₉	1	2	yes	—
697	#95	C₂³×C₁₃₉	1	2	yes	—
698	#95	C₂³×C₁₃₉	1	1	yes	characteristic
699	#95	C₂³×C₁₃₉	1	2	yes	—
700	#95	C₂³×C₁₃₉	1	1	yes	characteristic
701	#95	C₂³×C₁₃₉	1	2	yes	—
702	#95	C₂³×C₁₃₉	1	1	yes	characteristic
703	#95	C₂³×C₁₃₉	1	2	yes	—
704	#95	C₂³×C₁₃₉	1	2	yes	—
705	#95	C₂³×C₁₃₉	1	2	yes	—
706	#95	C₂³×C₁₃₉	1	2	yes	—
707	#95	C₂³×C₁₃₉	1	2	yes	—
708	#95	C₂³×C₁₃₉	1	1	yes	characteristic
709	#95	C₂³×C₁₃₉	1	2	yes	—
710	#95	C₂³×C₁₃₉	1	2	yes	—
711	#95	C₂³×C₁₃₉	1	2	yes	—
712	#95	C₂³×C₁₃₉	1	2	yes	—
713	#95	C₂³×C₁₃₉	1	2	yes	—
714	#95	C₂³×C₁₃₉	1	2	yes	—
715	#95	C₂³×C₁₃₉	1	2	yes	—
716	#95	C₂³×C₁₃₉	1	2	yes	—
717	C₂⁴	—	2	2	no	—
718	C₂⁴	—	2	4	no	—
719	C₂⁴	—	2	4	no	—
720	C₂⁴	—	2	2	no	—
721	C₂⁴	C₂×D₄×C₁₃₉	1	4	yes	—
722	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
723	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
724	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
725	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
726	#41	—	4	32	no	—
727	C₂×Q₈	—	2	4	no	—
728	C₂×Q₈	—	2	4	no	—
729	C₂×Q₈	—	4	2	no	—
730	C₂×D₄	—	2	2	no	—
731	C₂×D₄	—	2	4	no	—
732	C₂×D₄	—	2	4	no	—
733	C₂×D₄	—	2	2	no	—
734	C₂×D₄	—	2	4	no	—
735	C₂×D₄	—	2	4	no	—
736	C₂×D₄	—	2	4	no	—
737	C₂×D₄	—	2	4	no	—
738	C₂×D₄	—	2	4	no	—
739	C₂×D₄	—	2	4	no	—
740	C₂×D₄	—	2	4	no	—
741	C₂×D₄	—	2	4	no	—
742	C₂×D₄	—	2	4	no	—
743	C₂×D₄	—	2	4	no	—
744	C₂×D₄	—	2	4	no	—
745	C₂×D₄	—	2	2	no	—
746	C₂×D₄	—	4	2	no	—
747	C₂×D₄	—	4	2	no	—
748	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
749	C₂×D₄	C₂×D₄×C₁₃₉	1	8	yes	—
750	C₂²×C₄	—	2	4	no	—
751	C₂²×C₄	—	2	4	no	—
752	C₂²×C₄	—	2	4	no	—
753	C₂²×C₄	—	2	4	no	—
754	C₂²×C₄	—	2	4	no	—
755	C₂²×C₄	—	2	4	no	—
756	C₂²×C₄	—	2	4	no	—
757	C₂²×C₄	—	2	4	no	—
758	C₂²×C₄	—	2	2	no	—
759	C₂²×C₄	—	2	4	no	—
760	C₂²×C₄	—	2	4	no	—
761	C₂²×C₄	—	2	4	no	—
762	C₂²×C₄	—	2	4	no	—
763	C₂²×C₄	—	2	4	no	—
764	C₂²×C₄	—	2	4	no	—
765	C₂²×C₄	—	2	4	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	4	no	—
772	C₂²×C₄	—	2	2	no	—
773	C₂²×C₄	—	4	2	no	—
774	C₂²×C₄	—	4	2	no	—
775	C₂²×C₄	—	4	2	no	—
776	C₂²×C₄	—	4	2	no	—
777	C₂²×C₄	—	4	2	no	—
778	C₂²×C₄	—	4	2	no	—
779	C₂²×C₄	—	4	2	no	—
780	C₂²×C₄	—	4	2	no	—
781	C₂²×C₄	—	4	2	no	—
782	C₂²×C₄	—	4	2	no	—
783	C₂²×C₄	—	4	2	no	—
784	C₂²×C₄	—	4	32	no	—
785	C₂²×C₄	—	4	16	no	—
786	C₂²×C₄	#41×C₁₃₉	1	8	yes	complemented
787	C₂²×C₄	#41×C₁₃₉	1	4	yes	complemented
788	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
789	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
790	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
791	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
792	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
793	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
794	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
795	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
796	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
797	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
798	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
799	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
800	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
801	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
802	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
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	2	no	—
810	C₄⋊C₄	—	2	2	no	—
811	C₄⋊C₄	—	2	4	no	—
812	C₄⋊C₄	—	2	4	no	—
813	C₄⋊C₄	—	4	2	no	—
814	C₄⋊C₄	—	4	2	no	—
815	C₄⋊C₄	—	4	2	no	—
816	C₄⋊C₄	—	4	2	no	—
817	C₂²⋊C₄	—	2	4	no	—
818	C₂²⋊C₄	—	2	4	no	—
819	C₂²⋊C₄	—	2	4	no	—
820	C₂²⋊C₄	—	2	4	no	—
821	C₂²⋊C₄	—	2	4	no	—
822	C₂²⋊C₄	—	2	2	no	—
823	C₂²⋊C₄	—	2	4	no	—
824	C₂²⋊C₄	—	2	4	no	—
825	C₂²⋊C₄	—	2	2	no	—
826	C₂²⋊C₄	—	2	4	no	—
827	C₂²⋊C₄	—	2	4	no	—
828	C₂²⋊C₄	—	2	2	no	—
829	C₂²⋊C₄	—	2	4	no	—
830	C₂²⋊C₄	—	2	4	no	—
831	C₂²⋊C₄	—	2	4	no	—
832	C₂²⋊C₄	—	4	2	no	—
833	C₂²⋊C₄	—	4	2	no	—
834	C₂²⋊C₄	—	4	2	no	—
835	C₂²⋊C₄	—	4	2	no	—
836	C₂²⋊C₄	—	4	2	no	—
837	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	8	yes	—
838	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
839	C₄²	—	2	4	no	—
840	C₄²	—	2	4	no	—
841	C₄²	—	2	2	no	—
842	C₄²	—	4	2	no	—
843	C₂³	—	2	8	no	—
844	C₂³	—	2	8	no	—
845	C₂³	—	2	16	no	—
846	C₂³	—	2	16	no	—
847	C₂³	—	2	8	no	—
848	C₂³	—	2	2	no	—
849	C₂³	—	2	2	no	—
850	C₂³	—	2	2	no	—
851	C₂³	—	2	2	no	—
852	C₂³	—	2	2	no	—
853	C₂³	—	2	2	no	—
854	C₂³	—	2	1	no	—
855	C₂³	—	2	2	no	—
856	C₂³	—	2	2	no	—
857	C₂³	—	2	1	no	—
858	C₂³	—	2	2	no	—
859	C₂³	—	2	2	no	—
860	C₂³	—	2	2	no	—
861	C₂³	—	2	2	no	—
862	C₂³	—	2	2	no	—
863	C₂³	—	2	2	no	—
864	C₂³	—	2	2	no	—
865	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
866	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
867	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
868	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
869	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
870	C₂³	H(5,𝔽₂)×C₁₃₉	1	4	yes	—
871	C₂³	2₋¹⁺⁴×C₁₃₉	1	2	yes	—
872	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
873	Q₈	—	4	8	no	—
874	D₄	—	2	16	no	—
875	D₄	—	2	8	no	—
876	D₄	—	4	8	no	—
877	D₄	—	4	8	no	—
878	D₄	—	4	8	no	—
879	D₄	—	4	8	no	—
880	D₄	—	8	2	no	—
881	C₂×C₄	—	2	16	no	—
882	C₂×C₄	—	2	2	no	—
883	C₂×C₄	—	2	2	no	—
884	C₂×C₄	—	2	1	no	—
885	C₂×C₄	—	2	2	no	—
886	C₂×C₄	—	2	2	no	—
887	C₂×C₄	—	2	2	no	—
888	C₂×C₄	—	2	2	no	—
889	C₂×C₄	—	2	2	no	—
890	C₂×C₄	—	2	2	no	—
891	C₂×C₄	—	2	1	no	—
892	C₂×C₄	—	2	2	no	—
893	C₂×C₄	—	2	2	no	—
894	C₂×C₄	—	2	2	no	—
895	C₂×C₄	—	2	2	no	—
896	C₂×C₄	—	2	2	no	—
897	C₂×C₄	—	2	1	no	—
898	C₂×C₄	—	2	2	no	—
899	C₂×C₄	—	2	2	no	—
900	C₂×C₄	—	2	1	no	—
901	C₂×C₄	—	2	2	no	—
902	C₂×C₄	—	2	2	no	—
903	C₂×C₄	—	2	2	no	—
904	C₂×C₄	—	2	2	no	—
905	C₂×C₄	—	2	2	no	—
906	C₂×C₄	—	2	2	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	2	no	—
914	C₂×C₄	—	2	2	no	—
915	C₂×C₄	—	2	2	no	—
916	C₂×C₄	—	2	2	no	—
917	C₂×C₄	—	4	4	no	—
918	C₂×C₄	—	4	8	no	—
919	C₂×C₄	—	4	8	no	—
920	C₂×C₄	—	4	8	no	—
921	C₂×C₄	—	4	8	no	—
922	C₂×C₄	—	4	8	no	—
923	C₂×C₄	—	4	8	no	—
924	C₂×C₄	—	4	8	no	—
925	C₂×C₄	—	4	8	no	—
926	C₂×C₄	—	4	4	no	—
927	C₂×C₄	—	4	8	no	—
928	C₂×C₄	—	8	2	no	—
929	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
930	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
931	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
932	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
933	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
934	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
935	C₂²	—	2	32	no	—
936	C₂²	—	2	4	no	—
937	C₂²	—	2	2	no	—
938	C₂²	—	2	4	no	—
939	C₂²	—	2	4	no	—
940	C₂²	—	2	4	no	—
941	C₂²	—	2	2	no	—
942	C₂²	—	2	4	no	—
943	C₂²	—	2	4	no	—
944	C₂²	—	2	4	no	—
945	C₂²	—	2	4	no	—
946	C₂²	—	2	4	no	—
947	C₂²	—	2	2	no	—
948	C₂²	—	4	1	no	—
949	C₂²	—	4	1	no	—
950	C₂²	—	4	2	no	—
951	C₂²	—	4	2	no	—
952	C₂²	—	4	2	no	—
953	C₂²	—	4	2	no	—
954	C₂²	—	4	2	no	—
955	C₂²	—	4	2	no	—
956	C₂²	—	4	2	no	—
957	C₂²	—	4	2	no	—
958	C₂²	#546×C₁₃₉	1	8	yes	—
959	C₂²	#547×C₁₃₉	1	4	yes	—
960	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
961	C₂²	C₂²×#41×C₁₃₉	1	2	yes	—
962	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
963	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	2	yes	—
964	C₂²	C₂×2₋¹⁺⁴×C₁₃₉	1	1	yes	characteristic
965	C₄	—	2	4	no	—
966	C₄	—	2	4	no	—
967	C₄	—	2	4	no	—
968	C₄	—	2	2	no	—
969	C₄	—	2	2	no	—
970	C₄	—	2	2	no	—
971	C₄	—	4	1	no	—
972	C₄	—	4	2	no	—
973	C₄	—	4	2	no	—
974	C₄	—	4	2	no	—
975	C₄	—	4	2	no	—
976	C₄	—	4	2	no	—
977	C₄	—	4	2	no	—
978	C₄	—	4	1	no	—
979	C₄	—	4	2	no	—
980	C₂	—	2	8	no	—
981	C₂	—	2	4	no	—
982	C₂	—	4	2	no	—
983	C₂	—	8	2	no	—
984	C₂	#3444×C₁₃₉	1	1	yes	characteristic
985	C₂	C₂×#546×C₁₃₉	1	2	yes	—
986	C₂	C₂×#547×C₁₃₉	1	1	yes	characteristic
987	C₂	#3490×C₁₃₉	1	1	yes	characteristic
988	C₂	#3492×C₁₃₉	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
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×#525×C₁₃₉	C₂	semidirect
2. #2849×C₁₃₉	C₂	semidirect
3. #2847×C₁₃₉	C₂	semidirect
4. #2549×C₁₃₉	C₂	semidirect
5. #2543×C₁₃₉	C₂	semidirect
6. #2488×C₁₃₉	C₂	semidirect
7. #2450×C₁₃₉	C₂	semidirect
8. #2444×C₁₃₉	C₂	semidirect
9. #2438×C₁₃₉	C₂	semidirect
10. #2430×C₁₃₉	C₂	semidirect
11. #2425×C₁₃₉	C₂	semidirect
12. #2425×C₁₃₉	C₂	semidirect
13. #2419×C₁₃₉	C₂	semidirect
14. #2364×C₁₃₉	C₂	semidirect
15. #2359×C₁₃₉	C₂	semidirect
16. #2349×C₁₃₉	C₂	semidirect
17. #2339×C₁₃₉	C₂	semidirect
18. C₄×#120×C₁₃₉	C₂	semidirect
19. C₂²×#95×C₁₃₉	C₂	semidirect
43. #400×C₁₃₉	C₂²	semidirect
44. #400×C₁₃₉	C₂²	semidirect
45. #398×C₁₃₉	C₂²	semidirect
46. #398×C₁₃₉	C₂²	semidirect
47. #398×C₁₃₉	C₂²	semidirect
48. #397×C₁₃₉	C₂²	semidirect
49. #397×C₁₃₉	C₂²	semidirect
50. #397×C₁₃₉	C₂²	semidirect
51. #396×C₁₃₉	C₂²	semidirect
52. #395×C₁₃₉	C₂²	semidirect
53. #394×C₁₃₉	C₂²	semidirect
54. #394×C₁₃₉	C₂²	semidirect
55. #393×C₁₃₉	C₂²	semidirect
56. #392×C₁₃₉	C₂²	semidirect
57. #391×C₁₃₉	C₂²	semidirect
58. #391×C₁₃₉	C₂²	semidirect
59. #389×C₁₃₉	C₂²	semidirect
60. #389×C₁₃₉	C₂²	semidirect
61. #388×C₁₃₉	C₂²	semidirect
62. #388×C₁₃₉	C₂²	semidirect
63. #388×C₁₃₉	C₂²	semidirect
64. #387×C₁₃₉	C₂²	semidirect
65. #387×C₁₃₉	C₂²	semidirect
66. #387×C₁₃₉	C₂²	semidirect
76. #386×C₁₃₉	C₂²	semidirect
77. #386×C₁₃₉	C₂²	semidirect
78. #386×C₁₃₉	C₂²	semidirect
85. #385×C₁₃₉	C₂²	semidirect
86. #385×C₁₃₉	C₂²	semidirect
87. #382×C₁₃₉	C₂²	semidirect
90. #381×C₁₃₉	C₂²	semidirect
93. #380×C₁₃₉	C₂²	semidirect
94. #380×C₁₃₉	C₂²	semidirect
96. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
99. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
107. C₂×#95×C₁₃₉	C₂²	semidirect
149. #120×C₁₃₉	D₄	semidirect
291. C₂²×C₄×C₁₃₉	#41	semidirect
292. C₂²×C₄×C₁₃₉	#41	semidirect
494. #36146	C₁₃₉	direct (N × H)
495. C₁₃₉	#36146	direct (N × H)
496. C₂×#525	C₂×C₁₃₉	semidirect
497. #2849	C₂×C₁₃₉	semidirect
498. #2847	C₂×C₁₃₉	semidirect
499. #2549	C₂×C₁₃₉	semidirect
500. #2543	C₂×C₁₃₉	semidirect
501. #2488	C₂×C₁₃₉	semidirect
502. #2450	C₂×C₁₃₉	semidirect
503. #2444	C₂×C₁₃₉	semidirect
504. #2438	C₂×C₁₃₉	semidirect
505. #2430	C₂×C₁₃₉	semidirect
506. #2425	C₂×C₁₃₉	semidirect
507. #2425	C₂×C₁₃₉	semidirect
508. #2419	C₂×C₁₃₉	semidirect
509. #2364	C₂×C₁₃₉	semidirect
510. #2359	C₂×C₁₃₉	semidirect
511. #2349	C₂×C₁₃₉	semidirect
512. #2339	C₂×C₁₃₉	semidirect
513. C₄×#120	C₂×C₁₃₉	semidirect
514. C₂²×#95	C₂×C₁₃₉	semidirect
538. #400	C₂²×C₁₃₉	semidirect
539. #400	C₂²×C₁₃₉	semidirect
540. #398	C₂²×C₁₃₉	semidirect
541. #398	C₂²×C₁₃₉	semidirect
542. #398	C₂²×C₁₃₉	semidirect
543. #397	C₂²×C₁₃₉	semidirect
544. #397	C₂²×C₁₃₉	semidirect
545. #397	C₂²×C₁₃₉	semidirect
546. #396	C₂²×C₁₃₉	semidirect
547. #395	C₂²×C₁₃₉	semidirect
548. #394	C₂²×C₁₃₉	semidirect
549. #394	C₂²×C₁₃₉	semidirect
550. #393	C₂²×C₁₃₉	semidirect
551. #392	C₂²×C₁₃₉	semidirect
552. #391	C₂²×C₁₃₉	semidirect
553. #391	C₂²×C₁₃₉	semidirect
554. #389	C₂²×C₁₃₉	semidirect
555. #389	C₂²×C₁₃₉	semidirect
556. #388	C₂²×C₁₃₉	semidirect
557. #388	C₂²×C₁₃₉	semidirect
558. #388	C₂²×C₁₃₉	semidirect
559. #387	C₂²×C₁₃₉	semidirect
560. #387	C₂²×C₁₃₉	semidirect
561. #387	C₂²×C₁₃₉	semidirect
571. #386	C₂²×C₁₃₉	semidirect
572. #386	C₂²×C₁₃₉	semidirect
573. #386	C₂²×C₁₃₉	semidirect
580. #385	C₂²×C₁₃₉	semidirect
581. #385	C₂²×C₁₃₉	semidirect
582. #382	C₂²×C₁₃₉	semidirect
585. #381	C₂²×C₁₃₉	semidirect
588. #380	C₂²×C₁₃₉	semidirect
589. #380	C₂²×C₁₃₉	semidirect
591. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
594. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
602. C₂×#95	C₂²×C₁₃₉	semidirect
644. #120	D₄×C₁₃₉	semidirect
786. C₂²×C₄	#41×C₁₃₉	semidirect
787. C₂²×C₄	#41×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#525×C₁₃₉	2
#2849×C₁₃₉	2
#2847×C₁₃₉	2
#2549×C₁₃₉	2
#2543×C₁₃₉	2
#2488×C₁₃₉	2
#2450×C₁₃₉	2
#2444×C₁₃₉	2
#2438×C₁₃₉	2
#2430×C₁₃₉	2
#2425×C₁₃₉	2
#2419×C₁₃₉	2
#2364×C₁₃₉	2
#2359×C₁₃₉	2
#2349×C₁₃₉	2
#2339×C₁₃₉	2
C₄×#120×C₁₃₉	2
C₂²×#95×C₁₃₉	2
#36146	139

Subgroups — C139×#36146 #48030742

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36146 #48030742