Subgroups — C₁₃₉×#36212 #48030808

Order 35584.

5790 conjugacy classes of subgroups.

The subgroup lattice has 998 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	C₂×#546×C₁₃₉	C₂	1	2	yes	maximal, complemented
3	C₂×D₄²×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2849×C₁₃₉	C₂	1	2	yes	maximal, complemented
5	#2847×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2436×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2431×C₁₃₉	C₂	1	2	yes	maximal, complemented
8	#2430×C₁₃₉	C₂	1	4	yes	maximal, complemented
9	#2410×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2409×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
11	#2407×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2404×C₁₃₉	C₂	1	4	yes	maximal, complemented
13	#2403×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2339×C₁₃₉	C₂	1	2	yes	maximal, complemented
15	D₄×C₂²⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄×#120×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#386×C₁₃₉	C₂	1	2	yes	maximal, complemented
18	C₂²×#41×C₁₃₉	—	2	16	no	—
19	C₂²×#41×C₁₃₉	—	2	8	no	—
20	C₂²×#41×C₁₃₉	C₂²	1	2	yes	—
21	C₂²×#41×C₁₃₉	C₂²	1	4	yes	complemented
22	C₂²×#41×C₁₃₉	C₂²	1	2	yes	complemented
23	C₂³×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
24	C₂³×D₄×C₁₃₉	C₂²	1	2	yes	—
25	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
26	C₂³×D₄×C₁₃₉	C₂²	1	2	yes	complemented
27	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
28	C₂⁴×C₄×C₁₃₉	C₂²	1	2	yes	complemented
29	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
30	#546×C₁₃₉	—	2	16	no	—
31	D₄²×C₁₃₉	—	2	8	no	—
32	C₂×#127×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
33	C₂×#124×C₁₃₉	C₂²	1	2	yes	complemented
34	C₂×#123×C₁₃₉	C₂²	1	4	yes	complemented
35	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	complemented
36	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
38	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
39	C₂×#121×C₁₃₉	C₂²	1	4	yes	complemented
40	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
41	C₂×#120×C₁₃₉	C₂²	1	1	yes	characteristic
42	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
43	C₂×#120×C₁₃₉	C₂²	1	4	yes	complemented
44	C₂×#120×C₁₃₉	C₂²	1	2	yes	complemented
45	C₂×#120×C₁₃₉	C₂²	1	2	yes	complemented
46	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
48	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
49	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
50	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	4	yes	complemented
51	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
52	#395×C₁₃₉	C₂²	1	2	yes	complemented
53	#394×C₁₃₉	C₂²	1	4	yes	complemented
54	#393×C₁₃₉	C₂²	1	2	yes	complemented
55	#393×C₁₃₉	C₂²	1	4	yes	complemented
56	#392×C₁₃₉	C₂²	1	4	yes	complemented
57	#392×C₁₃₉	C₂²	1	4	yes	complemented
58	#392×C₁₃₉	C₂²	1	4	yes	complemented
59	#391×C₁₃₉	C₂²	1	2	yes	complemented
60	#391×C₁₃₉	C₂²	1	2	yes	complemented
61	#390×C₁₃₉	C₂²	1	2	yes	complemented
62	#386×C₁₃₉	C₂²	1	1	yes	characteristic
63	#386×C₁₃₉	C₂²	1	2	yes	—
64	#386×C₁₃₉	C₂²	1	2	yes	complemented
65	#386×C₁₃₉	C₂²	1	4	yes	complemented
66	#386×C₁₃₉	C₂²	1	2	yes	complemented
67	#386×C₁₃₉	C₂²	1	4	yes	complemented
68	#386×C₁₃₉	C₂²	1	2	yes	complemented
69	#386×C₁₃₉	C₂²	1	4	yes	complemented
70	#386×C₁₃₉	C₂²	1	2	yes	complemented
71	#386×C₁₃₉	C₂²	1	4	yes	complemented
72	#386×C₁₃₉	C₂²	1	4	yes	complemented
73	#386×C₁₃₉	C₂²	1	4	yes	complemented
74	#386×C₁₃₉	C₂²	1	4	yes	complemented
75	#385×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
76	#385×C₁₃₉	C₂²	1	2	yes	complemented
77	#385×C₁₃₉	C₂²	1	4	yes	complemented
78	#385×C₁₃₉	C₂²	1	2	yes	complemented
79	#381×C₁₃₉	C₂²	1	4	yes	complemented
80	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
81	#380×C₁₃₉	C₂²	1	2	yes	complemented
82	#379×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
83	#379×C₁₃₉	C₂²	1	2	yes	complemented
84	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
85	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
86	C₂×#95×C₁₃₉	C₂²	1	4	yes	complemented
87	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
88	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
89	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
90	C₂×#41×C₁₃₉	—	2	128	no	—
91	C₂×#41×C₁₃₉	—	2	8	no	—
92	C₂×#41×C₁₃₉	—	2	8	no	—
93	C₂×#41×C₁₃₉	—	2	8	no	—
94	C₂×#41×C₁₃₉	—	2	16	no	—
95	C₂×#41×C₁₃₉	—	2	8	no	—
96	C₂×#41×C₁₃₉	—	2	16	no	—
97	C₂×#41×C₁₃₉	—	2	16	no	—
98	C₂×#41×C₁₃₉	—	2	8	no	—
99	C₂×#41×C₁₃₉	D₄	1	16	yes	complemented
100	C₂²×Q₈×C₁₃₉	—	2	8	no	—
101	C₂²×Q₈×C₁₃₉	—	2	4	no	—
102	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
103	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
104	C₂²×D₄×C₁₃₉	—	2	8	no	—
105	C₂²×D₄×C₁₃₉	—	2	8	no	—
106	C₂²×D₄×C₁₃₉	—	2	16	no	—
107	C₂²×D₄×C₁₃₉	—	2	8	no	—
108	C₂²×D₄×C₁₃₉	—	2	4	no	—
109	C₂²×D₄×C₁₃₉	—	2	8	no	—
110	C₂²×D₄×C₁₃₉	—	2	8	no	—
111	C₂²×D₄×C₁₃₉	—	4	4	no	—
112	C₂²×D₄×C₁₃₉	D₄	1	8	yes	complemented
113	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
114	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
115	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
116	C₂²×D₄×C₁₃₉	C₂³	1	4	yes	—
117	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
118	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
119	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
120	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
121	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
122	C₂²×D₄×C₁₃₉	C₂³	1	4	yes	—
123	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
124	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
125	C₂²×D₄×C₁₃₉	C₂³	1	4	yes	—
126	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
127	C₂³×C₄×C₁₃₉	—	2	8	no	—
128	C₂³×C₄×C₁₃₉	—	2	4	no	—
129	C₂³×C₄×C₁₃₉	—	2	16	no	—
130	C₂³×C₄×C₁₃₉	—	2	8	no	—
131	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
132	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
133	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
134	C₂³×C₄×C₁₃₉	C₂³	1	4	yes	—
135	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
136	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
137	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
138	C₂³×C₄×C₁₃₉	C₂³	1	4	yes	—
139	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
140	C₂³×C₄×C₁₃₉	C₂³	1	4	yes	—
141	#127×C₁₃₉	—	2	4	no	—
142	#124×C₁₃₉	—	2	8	no	—
143	#123×C₁₃₉	—	2	16	no	—
144	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
145	#121×C₁₃₉	—	2	4	no	—
146	#121×C₁₃₉	—	2	8	no	—
147	#121×C₁₃₉	—	2	16	no	—
148	#121×C₁₃₉	—	2	4	no	—
149	#121×C₁₃₉	—	2	8	no	—
150	#120×C₁₃₉	—	2	8	no	—
151	#120×C₁₃₉	—	2	8	no	—
152	#120×C₁₃₉	—	2	16	no	—
153	#120×C₁₃₉	—	2	4	no	—
154	#120×C₁₃₉	—	4	4	no	—
155	C₄×D₄×C₁₃₉	—	2	4	no	—
156	C₄×D₄×C₁₃₉	—	2	8	no	—
157	C₄×D₄×C₁₃₉	—	2	4	no	—
158	C₄×D₄×C₁₃₉	—	2	8	no	—
159	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
160	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	4	yes	—
161	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
162	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
163	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
164	C₂×C₂²⋊C₄×C₁₃₉	—	2	16	no	—
165	C₂×C₂²⋊C₄×C₁₃₉	—	4	4	no	—
166	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
167	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
168	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
169	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
170	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
171	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
172	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
173	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
174	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
175	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
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	1	yes	characteristic
179	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
180	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
181	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
182	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
183	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
184	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
185	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
186	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
187	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
188	#95×C₁₃₉	C₂³	1	4	yes	—
189	#95×C₁₃₉	C₂³	1	2	yes	—
190	#95×C₁₃₉	C₂³	1	2	yes	—
191	#95×C₁₃₉	C₂³	1	4	yes	—
192	#95×C₁₃₉	C₂³	1	4	yes	—
193	#95×C₁₃₉	C₂³	1	2	yes	—
194	#95×C₁₃₉	C₂³	1	2	yes	—
195	#95×C₁₃₉	C₂³	1	4	yes	—
196	#95×C₁₃₉	C₂³	1	4	yes	—
197	C₂⁴×C₁₃₉	—	2	4	no	—
198	C₂⁴×C₁₃₉	—	2	8	no	—
199	C₂⁴×C₁₃₉	—	2	2	no	—
200	C₂⁴×C₁₃₉	—	2	4	no	—
201	C₂⁴×C₁₃₉	—	2	4	no	—
202	C₂⁴×C₁₃₉	—	2	2	no	—
203	C₂⁴×C₁₃₉	—	2	4	no	—
204	C₂⁴×C₁₃₉	—	2	2	no	—
205	C₂⁴×C₁₃₉	—	2	8	no	—
206	C₂⁴×C₁₃₉	—	2	4	no	—
207	C₂⁴×C₁₃₉	—	4	4	no	—
208	C₂⁴×C₁₃₉	—	4	2	no	—
209	C₂⁴×C₁₃₉	—	4	2	no	—
210	C₂⁴×C₁₃₉	—	4	4	no	—
211	C₂⁴×C₁₃₉	C₂×D₄	1	8	yes	—
212	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
213	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
214	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
215	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
216	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
217	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
218	#41×C₁₃₉	—	2	128	no	—
219	#41×C₁₃₉	—	2	64	no	—
220	#41×C₁₃₉	—	2	64	no	—
221	C₂×Q₈×C₁₃₉	—	2	32	no	—
222	C₂×Q₈×C₁₃₉	—	2	4	no	—
223	C₂×Q₈×C₁₃₉	—	2	8	no	—
224	C₂×Q₈×C₁₃₉	—	2	4	no	—
225	C₂×Q₈×C₁₃₉	—	2	4	no	—
226	C₂×Q₈×C₁₃₉	C₂×D₄	1	8	yes	complemented
227	C₂×D₄×C₁₃₉	—	2	64	no	—
228	C₂×D₄×C₁₃₉	—	2	2	no	—
229	C₂×D₄×C₁₃₉	—	2	8	no	—
230	C₂×D₄×C₁₃₉	—	2	8	no	—
231	C₂×D₄×C₁₃₉	—	2	8	no	—
232	C₂×D₄×C₁₃₉	—	2	8	no	—
233	C₂×D₄×C₁₃₉	—	2	8	no	—
234	C₂×D₄×C₁₃₉	—	2	2	no	—
235	C₂×D₄×C₁₃₉	—	2	32	no	—
236	C₂×D₄×C₁₃₉	—	2	4	no	—
237	C₂×D₄×C₁₃₉	—	2	4	no	—
238	C₂×D₄×C₁₃₉	—	2	4	no	—
239	C₂×D₄×C₁₃₉	—	2	4	no	—
240	C₂×D₄×C₁₃₉	—	2	8	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	8	no	—
248	C₂×D₄×C₁₃₉	—	2	8	no	—
249	C₂×D₄×C₁₃₉	—	2	4	no	—
250	C₂×D₄×C₁₃₉	—	2	4	no	—
251	C₂×D₄×C₁₃₉	—	2	2	no	—
252	C₂×D₄×C₁₃₉	—	2	4	no	—
253	C₂×D₄×C₁₃₉	—	4	2	no	—
254	C₂×D₄×C₁₃₉	—	4	2	no	—
255	C₂×D₄×C₁₃₉	—	4	2	no	—
256	C₂×D₄×C₁₃₉	—	4	4	no	—
257	C₂×D₄×C₁₃₉	—	4	4	no	—
258	C₂×D₄×C₁₃₉	—	4	4	no	—
259	C₂×D₄×C₁₃₉	—	4	32	no	—
260	C₂×D₄×C₁₃₉	—	4	16	no	—
261	C₂×D₄×C₁₃₉	C₂×D₄	1	8	yes	—
262	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
263	C₂×D₄×C₁₃₉	C₂×D₄	1	8	yes	—
264	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
265	C₂×D₄×C₁₃₉	C₂×D₄	1	16	yes	complemented
266	C₂×D₄×C₁₃₉	#41	1	4	yes	complemented
267	C₂²×C₄×C₁₃₉	—	2	64	no	—
268	C₂²×C₄×C₁₃₉	—	2	32	no	—
269	C₂²×C₄×C₁₃₉	—	2	2	no	—
270	C₂²×C₄×C₁₃₉	—	2	4	no	—
271	C₂²×C₄×C₁₃₉	—	2	8	no	—
272	C₂²×C₄×C₁₃₉	—	2	4	no	—
273	C₂²×C₄×C₁₃₉	—	2	8	no	—
274	C₂²×C₄×C₁₃₉	—	2	8	no	—
275	C₂²×C₄×C₁₃₉	—	2	4	no	—
276	C₂²×C₄×C₁₃₉	—	2	8	no	—
277	C₂²×C₄×C₁₃₉	—	2	4	no	—
278	C₂²×C₄×C₁₃₉	—	2	4	no	—
279	C₂²×C₄×C₁₃₉	—	2	8	no	—
280	C₂²×C₄×C₁₃₉	—	2	8	no	—
281	C₂²×C₄×C₁₃₉	—	2	4	no	—
282	C₂²×C₄×C₁₃₉	—	2	4	no	—
283	C₂²×C₄×C₁₃₉	—	2	4	no	—
284	C₂²×C₄×C₁₃₉	—	2	4	no	—
285	C₂²×C₄×C₁₃₉	—	2	8	no	—
286	C₂²×C₄×C₁₃₉	—	2	2	no	—
287	C₂²×C₄×C₁₃₉	—	2	4	no	—
288	C₂²×C₄×C₁₃₉	—	2	4	no	—
289	C₂²×C₄×C₁₃₉	—	4	2	no	—
290	C₂²×C₄×C₁₃₉	—	4	4	no	—
291	C₂²×C₄×C₁₃₉	—	4	4	no	—
292	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
293	C₂²×C₄×C₁₃₉	C₂×D₄	1	16	yes	complemented
294	C₂²×C₄×C₁₃₉	C₂×D₄	1	8	yes	complemented
295	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
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	4	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	4	yes	—
304	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
305	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
306	C₄⋊C₄×C₁₃₉	—	2	2	no	—
307	C₄⋊C₄×C₁₃₉	—	2	2	no	—
308	C₄⋊C₄×C₁₃₉	—	2	4	no	—
309	C₄⋊C₄×C₁₃₉	—	2	4	no	—
310	C₄⋊C₄×C₁₃₉	—	2	8	no	—
311	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
312	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
313	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
314	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
315	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
316	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
317	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
318	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
319	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
320	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
321	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
322	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
323	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
324	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
325	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
326	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
327	C₂²⋊C₄×C₁₃₉	—	4	4	no	—
328	C₂²⋊C₄×C₁₃₉	—	4	4	no	—
329	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
330	C₂²⋊C₄×C₁₃₉	—	4	4	no	—
331	C₄²×C₁₃₉	—	2	4	no	—
332	C₄²×C₁₃₉	—	2	2	no	—
333	C₂³×C₁₃₉	—	2	2	no	—
334	C₂³×C₁₃₉	—	2	2	no	—
335	C₂³×C₁₃₉	—	2	2	no	—
336	C₂³×C₁₃₉	—	2	4	no	—
337	C₂³×C₁₃₉	—	2	2	no	—
338	C₂³×C₁₃₉	—	2	8	no	—
339	C₂³×C₁₃₉	—	2	16	no	—
340	C₂³×C₁₃₉	—	2	16	no	—
341	C₂³×C₁₃₉	—	2	2	no	—
342	C₂³×C₁₃₉	—	2	1	no	—
343	C₂³×C₁₃₉	—	2	2	no	—
344	C₂³×C₁₃₉	—	2	4	no	—
345	C₂³×C₁₃₉	—	2	2	no	—
346	C₂³×C₁₃₉	—	2	2	no	—
347	C₂³×C₁₃₉	—	2	2	no	—
348	C₂³×C₁₃₉	—	2	2	no	—
349	C₂³×C₁₃₉	—	2	2	no	—
350	C₂³×C₁₃₉	—	2	1	no	—
351	C₂³×C₁₃₉	—	2	2	no	—
352	C₂³×C₁₃₉	—	2	4	no	—
353	C₂³×C₁₃₉	—	2	2	no	—
354	C₂³×C₁₃₉	—	2	2	no	—
355	C₂³×C₁₃₉	—	2	4	no	—
356	C₂³×C₁₃₉	—	2	2	no	—
357	C₂³×C₁₃₉	—	2	2	no	—
358	C₂³×C₁₃₉	—	2	2	no	—
359	C₂³×C₁₃₉	—	2	4	no	—
360	C₂³×C₁₃₉	—	4	8	no	—
361	C₂³×C₁₃₉	—	4	16	no	—
362	C₂³×C₁₃₉	—	4	8	no	—
363	C₂³×C₁₃₉	—	4	16	no	—
364	C₂³×C₁₃₉	—	4	8	no	—
365	C₂³×C₁₃₉	—	4	8	no	—
366	C₂³×C₁₃₉	—	4	16	no	—
367	C₂³×C₁₃₉	—	4	4	no	—
368	C₂³×C₁₃₉	—	4	4	no	—
369	C₂³×C₁₃₉	—	4	8	no	—
370	C₂³×C₁₃₉	—	8	4	no	—
371	C₂³×C₁₃₉	—	8	8	no	—
372	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
373	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
374	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
375	C₂³×C₁₃₉	C₂²×D₄	1	8	yes	—
376	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
377	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
378	C₂³×C₁₃₉	C₂×#41	1	2	yes	complemented
379	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
380	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
381	Q₈×C₁₃₉	—	2	16	no	—
382	Q₈×C₁₃₉	—	2	16	no	—
383	D₄×C₁₃₉	—	2	32	no	—
384	D₄×C₁₃₉	—	2	16	no	—
385	D₄×C₁₃₉	—	2	32	no	—
386	D₄×C₁₃₉	—	2	8	no	—
387	D₄×C₁₃₉	—	2	8	no	—
388	D₄×C₁₃₉	—	4	8	no	—
389	D₄×C₁₃₉	—	4	8	no	—
390	D₄×C₁₃₉	—	4	8	no	—
391	D₄×C₁₃₉	—	4	8	no	—
392	D₄×C₁₃₉	—	4	8	no	—
393	D₄×C₁₃₉	—	4	4	no	—
394	D₄×C₁₃₉	—	8	4	no	—
395	D₄×C₁₃₉	—	8	8	no	—
396	D₄×C₁₃₉	#120	1	16	yes	complemented
397	C₂×C₄×C₁₃₉	—	2	8	no	—
398	C₂×C₄×C₁₃₉	—	2	16	no	—
399	C₂×C₄×C₁₃₉	—	2	32	no	—
400	C₂×C₄×C₁₃₉	—	2	16	no	—
401	C₂×C₄×C₁₃₉	—	2	32	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	4	no	—
406	C₂×C₄×C₁₃₉	—	2	4	no	—
407	C₂×C₄×C₁₃₉	—	2	2	no	—
408	C₂×C₄×C₁₃₉	—	2	1	no	—
409	C₂×C₄×C₁₃₉	—	2	8	no	—
410	C₂×C₄×C₁₃₉	—	2	16	no	—
411	C₂×C₄×C₁₃₉	—	2	2	no	—
412	C₂×C₄×C₁₃₉	—	2	2	no	—
413	C₂×C₄×C₁₃₉	—	2	1	no	—
414	C₂×C₄×C₁₃₉	—	2	4	no	—
415	C₂×C₄×C₁₃₉	—	2	1	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	4	no	—
422	C₂×C₄×C₁₃₉	—	2	2	no	—
423	C₂×C₄×C₁₃₉	—	2	2	no	—
424	C₂×C₄×C₁₃₉	—	2	2	no	—
425	C₂×C₄×C₁₃₉	—	2	4	no	—
426	C₂×C₄×C₁₃₉	—	2	2	no	—
427	C₂×C₄×C₁₃₉	—	4	8	no	—
428	C₂×C₄×C₁₃₉	—	4	4	no	—
429	C₂×C₄×C₁₃₉	—	8	8	no	—
430	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
431	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
432	C₂×C₄×C₁₃₉	C₂²×D₄	1	8	yes	—
433	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
434	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
435	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	complemented
436	C₂²×C₁₃₉	—	2	2	no	—
437	C₂²×C₁₃₉	—	2	4	no	—
438	C₂²×C₁₃₉	—	2	4	no	—
439	C₂²×C₁₃₉	—	2	8	no	—
440	C₂²×C₁₃₉	—	2	2	no	—
441	C₂²×C₁₃₉	—	2	4	no	—
442	C₂²×C₁₃₉	—	2	8	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	—	4	32	no	—
453	C₂²×C₁₃₉	—	4	16	no	—
454	C₂²×C₁₃₉	—	4	1	no	—
455	C₂²×C₁₃₉	—	4	2	no	—
456	C₂²×C₁₃₉	—	4	2	no	—
457	C₂²×C₁₃₉	—	4	4	no	—
458	C₂²×C₁₃₉	—	4	2	no	—
459	C₂²×C₁₃₉	—	4	1	no	—
460	C₂²×C₁₃₉	—	4	4	no	—
461	C₂²×C₁₃₉	—	4	2	no	—
462	C₂²×C₁₃₉	—	4	2	no	—
463	C₂²×C₁₃₉	—	4	2	no	—
464	C₂²×C₁₃₉	—	4	2	no	—
465	C₂²×C₁₃₉	—	4	4	no	—
466	C₂²×C₁₃₉	—	4	2	no	—
467	C₂²×C₁₃₉	—	4	4	no	—
468	C₂²×C₁₃₉	—	8	16	no	—
469	C₂²×C₁₃₉	C₂×#120	1	8	yes	—
470	C₂²×C₁₃₉	#546	1	4	yes	complemented
471	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
472	C₂²×C₁₃₉	C₂³×D₄	1	2	yes	—
473	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
474	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
475	C₂²×C₁₃₉	#585	1	2	yes	—
476	C₄×C₁₃₉	—	2	4	no	—
477	C₄×C₁₃₉	—	2	8	no	—
478	C₄×C₁₃₉	—	2	2	no	—
479	C₄×C₁₃₉	—	2	2	no	—
480	C₄×C₁₃₉	—	4	1	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	C₄×C₁₃₉	—	4	4	no	—
486	C₄×C₁₃₉	C₂×#120	1	4	yes	—
487	C₂×C₁₃₉	—	2	4	no	—
488	C₂×C₁₃₉	—	2	8	no	—
489	C₂×C₁₃₉	—	4	4	no	—
490	C₂×C₁₃₉	—	4	4	no	—
491	C₂×C₁₃₉	—	4	2	no	—
492	C₂×C₁₃₉	—	8	2	no	—
493	C₂×C₁₃₉	C₂²×#120	1	1	yes	characteristic
494	C₂×C₁₃₉	C₂×#546	1	1	yes	characteristic
495	C₂×C₁₃₉	D₄×#41	1	2	yes	—
496	C₂×C₁₃₉	#3485	1	1	yes	characteristic
497	C₂×C₁₃₉	#3488	1	2	yes	—
498	#36212	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
499	C₁₃₉	#36212	1	1	yes	characteristic, direct product factor, Sylow
500	C₂³×#41	C₂×C₁₃₉	1	1	yes	characteristic, complemented
501	C₂×#546	C₂×C₁₃₉	1	2	yes	complemented
502	C₂×D₄²	C₂×C₁₃₉	1	1	yes	characteristic, complemented
503	#2849	C₂×C₁₃₉	1	2	yes	complemented
504	#2847	C₂×C₁₃₉	1	1	yes	characteristic, complemented
505	#2436	C₂×C₁₃₉	1	1	yes	characteristic, complemented
506	#2431	C₂×C₁₃₉	1	2	yes	complemented
507	#2430	C₂×C₁₃₉	1	4	yes	complemented
508	#2410	C₂×C₁₃₉	1	2	yes	complemented
509	#2409	C₂×C₁₃₉	1	1	yes	characteristic, complemented
510	#2407	C₂×C₁₃₉	1	2	yes	complemented
511	#2404	C₂×C₁₃₉	1	4	yes	complemented
512	#2403	C₂×C₁₃₉	1	2	yes	complemented
513	#2339	C₂×C₁₃₉	1	2	yes	complemented
514	D₄×C₂²⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
515	C₄×#120	C₂×C₁₃₉	1	1	yes	characteristic, complemented
516	C₂×#386	C₂×C₁₃₉	1	2	yes	complemented
517	C₂²×#41	—	2	16	no	—
518	C₂²×#41	—	2	8	no	—
519	C₂²×#41	C₂²×C₁₃₉	1	2	yes	—
520	C₂²×#41	C₂²×C₁₃₉	1	4	yes	complemented
521	C₂²×#41	C₂²×C₁₃₉	1	2	yes	complemented
522	C₂³×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
523	C₂³×D₄	C₂²×C₁₃₉	1	2	yes	—
524	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
525	C₂³×D₄	C₂²×C₁₃₉	1	2	yes	complemented
526	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
527	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
528	C₂⁴×C₄	C₂²×C₁₃₉	1	2	yes	complemented
529	#546	—	2	16	no	—
530	D₄²	—	2	8	no	—
531	C₂×#127	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
532	C₂×#124	C₂²×C₁₃₉	1	2	yes	complemented
533	C₂×#123	C₂²×C₁₃₉	1	4	yes	complemented
534	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	complemented
535	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
536	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
537	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
538	C₂×#121	C₂²×C₁₃₉	1	4	yes	complemented
539	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
540	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
541	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic
542	C₂×#120	C₂²×C₁₃₉	1	4	yes	complemented
543	C₂×#120	C₂²×C₁₃₉	1	2	yes	complemented
544	C₂×#120	C₂²×C₁₃₉	1	2	yes	complemented
545	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
546	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
547	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
548	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
549	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	4	yes	complemented
550	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
551	#395	C₂²×C₁₃₉	1	2	yes	complemented
552	#394	C₂²×C₁₃₉	1	4	yes	complemented
553	#393	C₂²×C₁₃₉	1	2	yes	complemented
554	#393	C₂²×C₁₃₉	1	4	yes	complemented
555	#392	C₂²×C₁₃₉	1	4	yes	complemented
556	#392	C₂²×C₁₃₉	1	4	yes	complemented
557	#392	C₂²×C₁₃₉	1	4	yes	complemented
558	#391	C₂²×C₁₃₉	1	2	yes	complemented
559	#391	C₂²×C₁₃₉	1	2	yes	complemented
560	#390	C₂²×C₁₃₉	1	2	yes	complemented
561	#386	C₂²×C₁₃₉	1	2	yes	—
562	#386	C₂²×C₁₃₉	1	1	yes	characteristic
563	#386	C₂²×C₁₃₉	1	2	yes	complemented
564	#386	C₂²×C₁₃₉	1	4	yes	complemented
565	#386	C₂²×C₁₃₉	1	2	yes	complemented
566	#386	C₂²×C₁₃₉	1	4	yes	complemented
567	#386	C₂²×C₁₃₉	1	4	yes	complemented
568	#386	C₂²×C₁₃₉	1	4	yes	complemented
569	#386	C₂²×C₁₃₉	1	4	yes	complemented
570	#386	C₂²×C₁₃₉	1	2	yes	complemented
571	#386	C₂²×C₁₃₉	1	4	yes	complemented
572	#386	C₂²×C₁₃₉	1	2	yes	complemented
573	#386	C₂²×C₁₃₉	1	4	yes	complemented
574	#385	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
575	#385	C₂²×C₁₃₉	1	4	yes	complemented
576	#385	C₂²×C₁₃₉	1	2	yes	complemented
577	#385	C₂²×C₁₃₉	1	2	yes	complemented
578	#381	C₂²×C₁₃₉	1	4	yes	complemented
579	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
580	#380	C₂²×C₁₃₉	1	2	yes	complemented
581	#379	C₂²×C₁₃₉	1	2	yes	complemented
582	#379	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
583	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
584	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
585	C₂×#95	C₂²×C₁₃₉	1	4	yes	complemented
586	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
587	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
588	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
589	C₂×#41	—	2	128	no	—
590	C₂×#41	—	2	8	no	—
591	C₂×#41	—	2	8	no	—
592	C₂×#41	—	2	8	no	—
593	C₂×#41	—	2	16	no	—
594	C₂×#41	—	2	8	no	—
595	C₂×#41	—	2	16	no	—
596	C₂×#41	—	2	16	no	—
597	C₂×#41	—	2	8	no	—
598	C₂×#41	D₄×C₁₃₉	1	16	yes	complemented
599	C₂²×Q₈	—	2	8	no	—
600	C₂²×Q₈	—	2	4	no	—
601	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
602	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
603	C₂²×D₄	—	2	8	no	—
604	C₂²×D₄	—	2	8	no	—
605	C₂²×D₄	—	2	16	no	—
606	C₂²×D₄	—	2	8	no	—
607	C₂²×D₄	—	2	4	no	—
608	C₂²×D₄	—	2	8	no	—
609	C₂²×D₄	—	2	8	no	—
610	C₂²×D₄	—	4	4	no	—
611	C₂²×D₄	D₄×C₁₃₉	1	8	yes	complemented
612	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
613	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
614	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
615	C₂²×D₄	C₂³×C₁₃₉	1	4	yes	—
616	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
617	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
618	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
619	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
620	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
621	C₂²×D₄	C₂³×C₁₃₉	1	4	yes	—
622	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
623	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
624	C₂²×D₄	C₂³×C₁₃₉	1	4	yes	—
625	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
626	C₂³×C₄	—	2	8	no	—
627	C₂³×C₄	—	2	4	no	—
628	C₂³×C₄	—	2	16	no	—
629	C₂³×C₄	—	2	8	no	—
630	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
631	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
632	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
633	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
634	C₂³×C₄	C₂³×C₁₃₉	1	4	yes	—
635	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
636	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
637	C₂³×C₄	C₂³×C₁₃₉	1	4	yes	—
638	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
639	C₂³×C₄	C₂³×C₁₃₉	1	4	yes	—
640	#127	—	2	4	no	—
641	#124	—	2	8	no	—
642	#123	—	2	16	no	—
643	C₂²⋊Q₈	—	2	8	no	—
644	#121	—	2	4	no	—
645	#121	—	2	8	no	—
646	#121	—	2	16	no	—
647	#121	—	2	4	no	—
648	#121	—	2	8	no	—
649	#120	—	2	8	no	—
650	#120	—	2	8	no	—
651	#120	—	2	16	no	—
652	#120	—	2	4	no	—
653	#120	—	4	4	no	—
654	C₄×D₄	—	2	4	no	—
655	C₄×D₄	—	2	8	no	—
656	C₄×D₄	—	2	4	no	—
657	C₄×D₄	—	2	8	no	—
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	4	yes	—
663	C₂×C₂²⋊C₄	—	2	16	no	—
664	C₂×C₂²⋊C₄	—	4	4	no	—
665	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
666	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
667	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
668	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
669	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
670	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
671	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
672	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
673	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
674	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
675	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
676	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
677	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
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	4	yes	—
681	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
682	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
683	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
684	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
685	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
686	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
687	#95	C₂³×C₁₃₉	1	2	yes	—
688	#95	C₂³×C₁₃₉	1	4	yes	—
689	#95	C₂³×C₁₃₉	1	4	yes	—
690	#95	C₂³×C₁₃₉	1	4	yes	—
691	#95	C₂³×C₁₃₉	1	2	yes	—
692	#95	C₂³×C₁₃₉	1	2	yes	—
693	#95	C₂³×C₁₃₉	1	2	yes	—
694	#95	C₂³×C₁₃₉	1	4	yes	—
695	#95	C₂³×C₁₃₉	1	4	yes	—
696	C₂⁴	—	2	4	no	—
697	C₂⁴	—	2	8	no	—
698	C₂⁴	—	2	2	no	—
699	C₂⁴	—	2	4	no	—
700	C₂⁴	—	2	4	no	—
701	C₂⁴	—	2	2	no	—
702	C₂⁴	—	2	4	no	—
703	C₂⁴	—	2	2	no	—
704	C₂⁴	—	2	8	no	—
705	C₂⁴	—	2	4	no	—
706	C₂⁴	—	4	4	no	—
707	C₂⁴	—	4	2	no	—
708	C₂⁴	—	4	2	no	—
709	C₂⁴	—	4	4	no	—
710	C₂⁴	C₂×D₄×C₁₃₉	1	8	yes	—
711	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
712	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
713	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
714	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
715	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
716	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
717	#41	—	2	128	no	—
718	#41	—	2	64	no	—
719	#41	—	2	64	no	—
720	C₂×Q₈	—	2	32	no	—
721	C₂×Q₈	—	2	4	no	—
722	C₂×Q₈	—	2	8	no	—
723	C₂×Q₈	—	2	4	no	—
724	C₂×Q₈	—	2	4	no	—
725	C₂×Q₈	C₂×D₄×C₁₃₉	1	8	yes	complemented
726	C₂×D₄	—	2	64	no	—
727	C₂×D₄	—	2	2	no	—
728	C₂×D₄	—	2	8	no	—
729	C₂×D₄	—	2	8	no	—
730	C₂×D₄	—	2	8	no	—
731	C₂×D₄	—	2	8	no	—
732	C₂×D₄	—	2	8	no	—
733	C₂×D₄	—	2	2	no	—
734	C₂×D₄	—	2	32	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	8	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	4	no	—
746	C₂×D₄	—	2	8	no	—
747	C₂×D₄	—	2	8	no	—
748	C₂×D₄	—	2	4	no	—
749	C₂×D₄	—	2	4	no	—
750	C₂×D₄	—	2	2	no	—
751	C₂×D₄	—	2	4	no	—
752	C₂×D₄	—	4	2	no	—
753	C₂×D₄	—	4	2	no	—
754	C₂×D₄	—	4	2	no	—
755	C₂×D₄	—	4	4	no	—
756	C₂×D₄	—	4	4	no	—
757	C₂×D₄	—	4	4	no	—
758	C₂×D₄	—	4	32	no	—
759	C₂×D₄	—	4	16	no	—
760	C₂×D₄	C₂×D₄×C₁₃₉	1	8	yes	—
761	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
762	C₂×D₄	C₂×D₄×C₁₃₉	1	8	yes	—
763	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
764	C₂×D₄	C₂×D₄×C₁₃₉	1	16	yes	complemented
765	C₂×D₄	#41×C₁₃₉	1	4	yes	complemented
766	C₂²×C₄	—	2	64	no	—
767	C₂²×C₄	—	2	32	no	—
768	C₂²×C₄	—	2	2	no	—
769	C₂²×C₄	—	2	4	no	—
770	C₂²×C₄	—	2	8	no	—
771	C₂²×C₄	—	2	4	no	—
772	C₂²×C₄	—	2	8	no	—
773	C₂²×C₄	—	2	8	no	—
774	C₂²×C₄	—	2	4	no	—
775	C₂²×C₄	—	2	8	no	—
776	C₂²×C₄	—	2	4	no	—
777	C₂²×C₄	—	2	4	no	—
778	C₂²×C₄	—	2	8	no	—
779	C₂²×C₄	—	2	8	no	—
780	C₂²×C₄	—	2	4	no	—
781	C₂²×C₄	—	2	4	no	—
782	C₂²×C₄	—	2	4	no	—
783	C₂²×C₄	—	2	4	no	—
784	C₂²×C₄	—	2	8	no	—
785	C₂²×C₄	—	2	2	no	—
786	C₂²×C₄	—	2	4	no	—
787	C₂²×C₄	—	2	4	no	—
788	C₂²×C₄	—	4	2	no	—
789	C₂²×C₄	—	4	4	no	—
790	C₂²×C₄	—	4	4	no	—
791	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
792	C₂²×C₄	C₂×D₄×C₁₃₉	1	16	yes	complemented
793	C₂²×C₄	C₂×D₄×C₁₃₉	1	8	yes	complemented
794	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
795	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
796	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
797	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
798	C₂²×C₄	C₂⁴×C₁₃₉	1	4	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	4	yes	—
803	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
804	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
805	C₄⋊C₄	—	2	2	no	—
806	C₄⋊C₄	—	2	2	no	—
807	C₄⋊C₄	—	2	4	no	—
808	C₄⋊C₄	—	2	4	no	—
809	C₄⋊C₄	—	2	8	no	—
810	C₂²⋊C₄	—	2	4	no	—
811	C₂²⋊C₄	—	2	2	no	—
812	C₂²⋊C₄	—	2	8	no	—
813	C₂²⋊C₄	—	2	4	no	—
814	C₂²⋊C₄	—	2	4	no	—
815	C₂²⋊C₄	—	2	2	no	—
816	C₂²⋊C₄	—	2	2	no	—
817	C₂²⋊C₄	—	2	4	no	—
818	C₂²⋊C₄	—	2	4	no	—
819	C₂²⋊C₄	—	2	8	no	—
820	C₂²⋊C₄	—	2	8	no	—
821	C₂²⋊C₄	—	2	8	no	—
822	C₂²⋊C₄	—	2	2	no	—
823	C₂²⋊C₄	—	2	4	no	—
824	C₂²⋊C₄	—	2	8	no	—
825	C₂²⋊C₄	—	2	4	no	—
826	C₂²⋊C₄	—	4	4	no	—
827	C₂²⋊C₄	—	4	4	no	—
828	C₂²⋊C₄	—	4	2	no	—
829	C₂²⋊C₄	—	4	4	no	—
830	C₄²	—	2	4	no	—
831	C₄²	—	2	2	no	—
832	C₂³	—	2	2	no	—
833	C₂³	—	2	2	no	—
834	C₂³	—	2	2	no	—
835	C₂³	—	2	4	no	—
836	C₂³	—	2	2	no	—
837	C₂³	—	2	8	no	—
838	C₂³	—	2	16	no	—
839	C₂³	—	2	16	no	—
840	C₂³	—	2	2	no	—
841	C₂³	—	2	1	no	—
842	C₂³	—	2	2	no	—
843	C₂³	—	2	4	no	—
844	C₂³	—	2	2	no	—
845	C₂³	—	2	2	no	—
846	C₂³	—	2	2	no	—
847	C₂³	—	2	2	no	—
848	C₂³	—	2	2	no	—
849	C₂³	—	2	1	no	—
850	C₂³	—	2	2	no	—
851	C₂³	—	2	4	no	—
852	C₂³	—	2	2	no	—
853	C₂³	—	2	2	no	—
854	C₂³	—	2	4	no	—
855	C₂³	—	2	2	no	—
856	C₂³	—	2	2	no	—
857	C₂³	—	2	2	no	—
858	C₂³	—	2	4	no	—
859	C₂³	—	4	8	no	—
860	C₂³	—	4	16	no	—
861	C₂³	—	4	8	no	—
862	C₂³	—	4	16	no	—
863	C₂³	—	4	8	no	—
864	C₂³	—	4	8	no	—
865	C₂³	—	4	16	no	—
866	C₂³	—	4	4	no	—
867	C₂³	—	4	4	no	—
868	C₂³	—	4	8	no	—
869	C₂³	—	8	4	no	—
870	C₂³	—	8	8	no	—
871	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
872	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
873	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
874	C₂³	C₂²×D₄×C₁₃₉	1	8	yes	—
875	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
876	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
877	C₂³	C₂×#41×C₁₃₉	1	2	yes	complemented
878	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
879	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
880	Q₈	—	2	16	no	—
881	Q₈	—	2	16	no	—
882	D₄	—	2	32	no	—
883	D₄	—	2	16	no	—
884	D₄	—	2	32	no	—
885	D₄	—	2	8	no	—
886	D₄	—	2	8	no	—
887	D₄	—	4	8	no	—
888	D₄	—	4	8	no	—
889	D₄	—	4	8	no	—
890	D₄	—	4	8	no	—
891	D₄	—	4	8	no	—
892	D₄	—	4	4	no	—
893	D₄	—	8	4	no	—
894	D₄	—	8	8	no	—
895	D₄	#120×C₁₃₉	1	16	yes	complemented
896	C₂×C₄	—	2	8	no	—
897	C₂×C₄	—	2	16	no	—
898	C₂×C₄	—	2	32	no	—
899	C₂×C₄	—	2	16	no	—
900	C₂×C₄	—	2	32	no	—
901	C₂×C₄	—	2	1	no	—
902	C₂×C₄	—	2	2	no	—
903	C₂×C₄	—	2	2	no	—
904	C₂×C₄	—	2	4	no	—
905	C₂×C₄	—	2	4	no	—
906	C₂×C₄	—	2	2	no	—
907	C₂×C₄	—	2	1	no	—
908	C₂×C₄	—	2	8	no	—
909	C₂×C₄	—	2	16	no	—
910	C₂×C₄	—	2	2	no	—
911	C₂×C₄	—	2	2	no	—
912	C₂×C₄	—	2	1	no	—
913	C₂×C₄	—	2	4	no	—
914	C₂×C₄	—	2	1	no	—
915	C₂×C₄	—	2	2	no	—
916	C₂×C₄	—	2	2	no	—
917	C₂×C₄	—	2	2	no	—
918	C₂×C₄	—	2	2	no	—
919	C₂×C₄	—	2	2	no	—
920	C₂×C₄	—	2	4	no	—
921	C₂×C₄	—	2	2	no	—
922	C₂×C₄	—	2	2	no	—
923	C₂×C₄	—	2	2	no	—
924	C₂×C₄	—	2	4	no	—
925	C₂×C₄	—	2	2	no	—
926	C₂×C₄	—	4	8	no	—
927	C₂×C₄	—	4	4	no	—
928	C₂×C₄	—	8	8	no	—
929	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
930	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
931	C₂×C₄	C₂²×D₄×C₁₃₉	1	8	yes	—
932	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
933	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
934	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	complemented
935	C₂²	—	2	2	no	—
936	C₂²	—	2	4	no	—
937	C₂²	—	2	4	no	—
938	C₂²	—	2	8	no	—
939	C₂²	—	2	2	no	—
940	C₂²	—	2	4	no	—
941	C₂²	—	2	8	no	—
942	C₂²	—	2	4	no	—
943	C₂²	—	2	4	no	—
944	C₂²	—	2	4	no	—
945	C₂²	—	2	2	no	—
946	C₂²	—	2	4	no	—
947	C₂²	—	2	4	no	—
948	C₂²	—	2	4	no	—
949	C₂²	—	2	4	no	—
950	C₂²	—	2	4	no	—
951	C₂²	—	4	32	no	—
952	C₂²	—	4	16	no	—
953	C₂²	—	4	1	no	—
954	C₂²	—	4	2	no	—
955	C₂²	—	4	2	no	—
956	C₂²	—	4	4	no	—
957	C₂²	—	4	2	no	—
958	C₂²	—	4	1	no	—
959	C₂²	—	4	4	no	—
960	C₂²	—	4	2	no	—
961	C₂²	—	4	2	no	—
962	C₂²	—	4	2	no	—
963	C₂²	—	4	2	no	—
964	C₂²	—	4	4	no	—
965	C₂²	—	4	2	no	—
966	C₂²	—	4	4	no	—
967	C₂²	—	8	16	no	—
968	C₂²	C₂×#120×C₁₃₉	1	8	yes	—
969	C₂²	#546×C₁₃₉	1	4	yes	complemented
970	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
971	C₂²	C₂³×D₄×C₁₃₉	1	2	yes	—
972	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
973	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
974	C₂²	#585×C₁₃₉	1	2	yes	—
975	C₄	—	2	4	no	—
976	C₄	—	2	8	no	—
977	C₄	—	2	2	no	—
978	C₄	—	2	2	no	—
979	C₄	—	4	1	no	—
980	C₄	—	4	2	no	—
981	C₄	—	4	2	no	—
982	C₄	—	4	1	no	—
983	C₄	—	4	2	no	—
984	C₄	—	4	4	no	—
985	C₄	C₂×#120×C₁₃₉	1	4	yes	—
986	C₂	—	2	4	no	—
987	C₂	—	2	8	no	—
988	C₂	—	4	4	no	—
989	C₂	—	4	4	no	—
990	C₂	—	4	2	no	—
991	C₂	—	8	2	no	—
992	C₂	C₂²×#120×C₁₃₉	1	1	yes	characteristic
993	C₂	C₂×#546×C₁₃₉	1	1	yes	characteristic
994	C₂	D₄×#41×C₁₃₉	1	2	yes	—
995	C₂	#3485×C₁₃₉	1	1	yes	characteristic
996	C₂	#3488×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. C₂³×#41×C₁₃₉	C₂	semidirect
2. C₂×#546×C₁₃₉	C₂	semidirect
3. C₂×D₄²×C₁₃₉	C₂	semidirect
4. #2849×C₁₃₉	C₂	semidirect
5. #2847×C₁₃₉	C₂	semidirect
6. #2436×C₁₃₉	C₂	semidirect
7. #2431×C₁₃₉	C₂	semidirect
8. #2430×C₁₃₉	C₂	semidirect
9. #2410×C₁₃₉	C₂	semidirect
10. #2409×C₁₃₉	C₂	semidirect
11. #2407×C₁₃₉	C₂	semidirect
12. #2404×C₁₃₉	C₂	semidirect
13. #2403×C₁₃₉	C₂	semidirect
14. #2339×C₁₃₉	C₂	semidirect
15. D₄×C₂²⋊C₄×C₁₃₉	C₂	semidirect
16. C₄×#120×C₁₃₉	C₂	semidirect
17. C₂×#386×C₁₃₉	C₂	semidirect
21. C₂²×#41×C₁₃₉	C₂²	semidirect
22. C₂²×#41×C₁₃₉	C₂²	semidirect
23. C₂³×Q₈×C₁₃₉	C₂²	semidirect
26. C₂³×D₄×C₁₃₉	C₂²	semidirect
27. C₂³×D₄×C₁₃₉	C₂²	semidirect
28. C₂⁴×C₄×C₁₃₉	C₂²	semidirect
29. C₂⁴×C₄×C₁₃₉	C₂²	semidirect
32. C₂×#127×C₁₃₉	C₂²	semidirect
33. C₂×#124×C₁₃₉	C₂²	semidirect
34. C₂×#123×C₁₃₉	C₂²	semidirect
35. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
37. C₂×#121×C₁₃₉	C₂²	semidirect
38. C₂×#121×C₁₃₉	C₂²	semidirect
39. C₂×#121×C₁₃₉	C₂²	semidirect
40. C₂×#121×C₁₃₉	C₂²	semidirect
43. C₂×#120×C₁₃₉	C₂²	semidirect
44. C₂×#120×C₁₃₉	C₂²	semidirect
45. C₂×#120×C₁₃₉	C₂²	semidirect
47. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
48. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
49. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
50. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
51. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
52. #395×C₁₃₉	C₂²	semidirect
53. #394×C₁₃₉	C₂²	semidirect
54. #393×C₁₃₉	C₂²	semidirect
55. #393×C₁₃₉	C₂²	semidirect
56. #392×C₁₃₉	C₂²	semidirect
57. #392×C₁₃₉	C₂²	semidirect
58. #392×C₁₃₉	C₂²	semidirect
59. #391×C₁₃₉	C₂²	semidirect
60. #391×C₁₃₉	C₂²	semidirect
61. #390×C₁₃₉	C₂²	semidirect
64. #386×C₁₃₉	C₂²	semidirect
65. #386×C₁₃₉	C₂²	semidirect
66. #386×C₁₃₉	C₂²	semidirect
67. #386×C₁₃₉	C₂²	semidirect
68. #386×C₁₃₉	C₂²	semidirect
69. #386×C₁₃₉	C₂²	semidirect
70. #386×C₁₃₉	C₂²	semidirect
71. #386×C₁₃₉	C₂²	semidirect
72. #386×C₁₃₉	C₂²	semidirect
73. #386×C₁₃₉	C₂²	semidirect
74. #386×C₁₃₉	C₂²	semidirect
75. #385×C₁₃₉	C₂²	semidirect
76. #385×C₁₃₉	C₂²	semidirect
77. #385×C₁₃₉	C₂²	semidirect
78. #385×C₁₃₉	C₂²	semidirect
79. #381×C₁₃₉	C₂²	semidirect
80. #380×C₁₃₉	C₂²	semidirect
81. #380×C₁₃₉	C₂²	semidirect
82. #379×C₁₃₉	C₂²	semidirect
83. #379×C₁₃₉	C₂²	semidirect
84. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
85. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
86. C₂×#95×C₁₃₉	C₂²	semidirect
99. C₂×#41×C₁₃₉	D₄	semidirect
112. C₂²×D₄×C₁₃₉	D₄	semidirect
226. C₂×Q₈×C₁₃₉	C₂×D₄	semidirect
265. C₂×D₄×C₁₃₉	C₂×D₄	semidirect
266. C₂×D₄×C₁₃₉	#41	semidirect
293. C₂²×C₄×C₁₃₉	C₂×D₄	semidirect
294. C₂²×C₄×C₁₃₉	C₂×D₄	semidirect
378. C₂³×C₁₃₉	C₂×#41	semidirect
396. D₄×C₁₃₉	#120	semidirect
435. C₂×C₄×C₁₃₉	C₂×#41	semidirect
470. C₂²×C₁₃₉	#546	semidirect
498. #36212	C₁₃₉	direct (N × H)
499. C₁₃₉	#36212	direct (N × H)
500. C₂³×#41	C₂×C₁₃₉	semidirect
501. C₂×#546	C₂×C₁₃₉	semidirect
502. C₂×D₄²	C₂×C₁₃₉	semidirect
503. #2849	C₂×C₁₃₉	semidirect
504. #2847	C₂×C₁₃₉	semidirect
505. #2436	C₂×C₁₃₉	semidirect
506. #2431	C₂×C₁₃₉	semidirect
507. #2430	C₂×C₁₃₉	semidirect
508. #2410	C₂×C₁₃₉	semidirect
509. #2409	C₂×C₁₃₉	semidirect
510. #2407	C₂×C₁₃₉	semidirect
511. #2404	C₂×C₁₃₉	semidirect
512. #2403	C₂×C₁₃₉	semidirect
513. #2339	C₂×C₁₃₉	semidirect
514. D₄×C₂²⋊C₄	C₂×C₁₃₉	semidirect
515. C₄×#120	C₂×C₁₃₉	semidirect
516. C₂×#386	C₂×C₁₃₉	semidirect
520. C₂²×#41	C₂²×C₁₃₉	semidirect
521. C₂²×#41	C₂²×C₁₃₉	semidirect
522. C₂³×Q₈	C₂²×C₁₃₉	semidirect
525. C₂³×D₄	C₂²×C₁₃₉	semidirect
526. C₂³×D₄	C₂²×C₁₃₉	semidirect
527. C₂⁴×C₄	C₂²×C₁₃₉	semidirect
528. C₂⁴×C₄	C₂²×C₁₃₉	semidirect
531. C₂×#127	C₂²×C₁₃₉	semidirect
532. C₂×#124	C₂²×C₁₃₉	semidirect
533. C₂×#123	C₂²×C₁₃₉	semidirect
534. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
536. C₂×#121	C₂²×C₁₃₉	semidirect
537. C₂×#121	C₂²×C₁₃₉	semidirect
538. C₂×#121	C₂²×C₁₃₉	semidirect
539. C₂×#121	C₂²×C₁₃₉	semidirect
542. C₂×#120	C₂²×C₁₃₉	semidirect
543. C₂×#120	C₂²×C₁₃₉	semidirect
544. C₂×#120	C₂²×C₁₃₉	semidirect
546. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
547. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
548. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
549. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
550. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
551. #395	C₂²×C₁₃₉	semidirect
552. #394	C₂²×C₁₃₉	semidirect
553. #393	C₂²×C₁₃₉	semidirect
554. #393	C₂²×C₁₃₉	semidirect
555. #392	C₂²×C₁₃₉	semidirect
556. #392	C₂²×C₁₃₉	semidirect
557. #392	C₂²×C₁₃₉	semidirect
558. #391	C₂²×C₁₃₉	semidirect
559. #391	C₂²×C₁₃₉	semidirect
560. #390	C₂²×C₁₃₉	semidirect
563. #386	C₂²×C₁₃₉	semidirect
564. #386	C₂²×C₁₃₉	semidirect
565. #386	C₂²×C₁₃₉	semidirect
566. #386	C₂²×C₁₃₉	semidirect
567. #386	C₂²×C₁₃₉	semidirect
568. #386	C₂²×C₁₃₉	semidirect
569. #386	C₂²×C₁₃₉	semidirect
570. #386	C₂²×C₁₃₉	semidirect
571. #386	C₂²×C₁₃₉	semidirect
572. #386	C₂²×C₁₃₉	semidirect
573. #386	C₂²×C₁₃₉	semidirect
574. #385	C₂²×C₁₃₉	semidirect
575. #385	C₂²×C₁₃₉	semidirect
576. #385	C₂²×C₁₃₉	semidirect
577. #385	C₂²×C₁₃₉	semidirect
578. #381	C₂²×C₁₃₉	semidirect
579. #380	C₂²×C₁₃₉	semidirect
580. #380	C₂²×C₁₃₉	semidirect
581. #379	C₂²×C₁₃₉	semidirect
582. #379	C₂²×C₁₃₉	semidirect
583. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
584. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
585. C₂×#95	C₂²×C₁₃₉	semidirect
598. C₂×#41	D₄×C₁₃₉	semidirect
611. C₂²×D₄	D₄×C₁₃₉	semidirect
725. C₂×Q₈	C₂×D₄×C₁₃₉	semidirect
764. C₂×D₄	C₂×D₄×C₁₃₉	semidirect
765. C₂×D₄	#41×C₁₃₉	semidirect
792. C₂²×C₄	C₂×D₄×C₁₃₉	semidirect
793. C₂²×C₄	C₂×D₄×C₁₃₉	semidirect
877. C₂³	C₂×#41×C₁₃₉	semidirect
895. D₄	#120×C₁₃₉	semidirect
934. C₂×C₄	C₂×#41×C₁₃₉	semidirect
969. C₂²	#546×C₁₃₉	semidirect

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
C₂×#546×C₁₃₉	2
C₂×D₄²×C₁₃₉	2
#2849×C₁₃₉	2
#2847×C₁₃₉	2
#2436×C₁₃₉	2
#2431×C₁₃₉	2
#2430×C₁₃₉	2
#2410×C₁₃₉	2
#2409×C₁₃₉	2
#2407×C₁₃₉	2
#2404×C₁₃₉	2
#2403×C₁₃₉	2
#2339×C₁₃₉	2
D₄×C₂²⋊C₄×C₁₃₉	2
C₄×#120×C₁₃₉	2
C₂×#386×C₁₃₉	2
#36212	139

Subgroups — C139×#36212 #48030808

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36212 #48030808