Subgroups — C₁₃₉×#35761 #48030357

Order 35584.

3628 conjugacy classes of subgroups.

The subgroup lattice has 1338 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#546×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#546×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×D₄²×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#518×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2620×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2617×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2544×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2537×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2534×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2428×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
11	#2427×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
12	#2425×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2424×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2416×C₁₃₉	C₂	1	2	yes	maximal, complemented
15	#2415×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2414×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2412×C₁₃₉	C₂	1	2	yes	maximal, complemented
18	#2410×C₁₃₉	C₂	1	2	yes	maximal, complemented
19	#2392×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#394×C₁₃₉	C₂	1	2	yes	maximal, complemented
21	D₄×C₄⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	#2339×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×C₂²⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#41×C₁₃₉	C₂²	1	1	yes	characteristic
25	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
26	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
27	C₂³×D₄×C₁₃₉	C₂²	1	2	yes	—
28	#546×C₁₃₉	—	2	8	no	—
29	#546×C₁₃₉	—	2	8	no	—
30	D₄²×C₁₃₉	—	2	8	no	—
31	C₂×#127×C₁₃₉	C₂²	1	1	yes	characteristic
32	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
33	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
34	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
35	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
36	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
38	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
39	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
40	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
41	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
42	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
43	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
44	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
45	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
46	C₂×#121×C₁₃₉	C₂²	1	2	yes	complemented
47	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
48	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
49	C₂×#120×C₁₃₉	C₂²	1	2	yes	complemented
50	C₂×#120×C₁₃₉	C₂²	1	2	yes	complemented
51	#518×C₁₃₉	—	2	8	no	—
52	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
53	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
54	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
55	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
56	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
57	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
58	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
62	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
63	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
64	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
65	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
66	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
67	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
68	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
69	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
70	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
71	#398×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
72	#397×C₁₃₉	C₂²	1	2	yes	complemented
73	#397×C₁₃₉	C₂²	1	2	yes	complemented
74	#397×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
75	#396×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
76	#396×C₁₃₉	C₂²	1	2	yes	complemented
77	#396×C₁₃₉	C₂²	1	2	yes	complemented
78	#396×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
79	#394×C₁₃₉	C₂²	1	1	yes	characteristic
80	#394×C₁₃₉	C₂²	1	2	yes	—
81	#394×C₁₃₉	C₂²	1	2	yes	complemented
82	#394×C₁₃₉	C₂²	1	2	yes	complemented
83	#394×C₁₃₉	C₂²	1	2	yes	complemented
84	#394×C₁₃₉	C₂²	1	2	yes	complemented
85	#394×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
86	#394×C₁₃₉	C₂²	1	2	yes	complemented
87	#394×C₁₃₉	C₂²	1	2	yes	complemented
88	#394×C₁₃₉	C₂²	1	2	yes	complemented
89	#394×C₁₃₉	C₂²	1	2	yes	complemented
90	#394×C₁₃₉	C₂²	1	2	yes	complemented
91	#394×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
92	#392×C₁₃₉	C₂²	1	1	yes	characteristic
93	#392×C₁₃₉	C₂²	1	2	yes	complemented
94	#392×C₁₃₉	C₂²	1	2	yes	complemented
95	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
96	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
97	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
98	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
99	#390×C₁₃₉	C₂²	1	2	yes	complemented
100	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
101	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
102	#389×C₁₃₉	C₂²	1	2	yes	complemented
103	#388×C₁₃₉	C₂²	1	2	yes	complemented
104	#388×C₁₃₉	C₂²	1	2	yes	complemented
105	#386×C₁₃₉	C₂²	1	2	yes	complemented
106	#386×C₁₃₉	C₂²	1	2	yes	complemented
107	#386×C₁₃₉	C₂²	1	2	yes	complemented
108	#386×C₁₃₉	C₂²	1	2	yes	complemented
109	#386×C₁₃₉	C₂²	1	2	yes	complemented
110	#386×C₁₃₉	C₂²	1	2	yes	complemented
111	#386×C₁₃₉	C₂²	1	2	yes	complemented
112	#386×C₁₃₉	C₂²	1	2	yes	complemented
113	#385×C₁₃₉	C₂²	1	2	yes	complemented
114	#385×C₁₃₉	C₂²	1	2	yes	complemented
115	#384×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
116	#381×C₁₃₉	C₂²	1	2	yes	complemented
117	#380×C₁₃₉	C₂²	1	2	yes	complemented
118	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
119	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
120	#380×C₁₃₉	C₂²	1	2	yes	complemented
121	#380×C₁₃₉	C₂²	1	2	yes	complemented
122	#379×C₁₃₉	C₂²	1	2	yes	complemented
123	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
124	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
125	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
126	C₂×#95×C₁₃₉	C₂²	1	2	yes	complemented
127	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
128	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
129	C₂×#41×C₁₃₉	—	2	4	no	—
130	C₂×#41×C₁₃₉	—	2	4	no	—
131	C₂×#41×C₁₃₉	—	2	4	no	—
132	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
133	C₂²×D₄×C₁₃₉	—	2	4	no	—
134	C₂²×D₄×C₁₃₉	—	2	4	no	—
135	C₂²×D₄×C₁₃₉	—	2	8	no	—
136	C₂²×D₄×C₁₃₉	—	2	4	no	—
137	C₂²×D₄×C₁₃₉	—	2	4	no	—
138	C₂²×D₄×C₁₃₉	—	2	4	no	—
139	C₂²×D₄×C₁₃₉	—	4	4	no	—
140	C₂²×D₄×C₁₃₉	—	4	4	no	—
141	C₂²×D₄×C₁₃₉	D₄	1	8	yes	complemented
142	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
143	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
144	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
145	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
146	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
147	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
148	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
149	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
150	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
151	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
152	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
153	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
154	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
155	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
156	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
157	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
158	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
159	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
160	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
161	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
162	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
163	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
164	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
165	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
166	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
167	#127×C₁₃₉	—	2	4	no	—
168	#124×C₁₃₉	—	2	4	no	—
169	#124×C₁₃₉	—	2	4	no	—
170	#123×C₁₃₉	—	2	8	no	—
171	#123×C₁₃₉	—	2	8	no	—
172	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
173	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
174	#121×C₁₃₉	—	2	4	no	—
175	#121×C₁₃₉	—	2	8	no	—
176	#121×C₁₃₉	—	2	4	no	—
177	#121×C₁₃₉	—	2	8	no	—
178	#121×C₁₃₉	—	2	4	no	—
179	#121×C₁₃₉	—	2	8	no	—
180	#121×C₁₃₉	—	2	4	no	—
181	#121×C₁₃₉	—	4	4	no	—
182	#121×C₁₃₉	—	4	4	no	—
183	#120×C₁₃₉	—	2	8	no	—
184	#120×C₁₃₉	—	2	8	no	—
185	#120×C₁₃₉	—	2	8	no	—
186	#120×C₁₃₉	—	2	8	no	—
187	C₄×D₄×C₁₃₉	—	2	4	no	—
188	C₄×D₄×C₁₃₉	—	2	4	no	—
189	C₄×D₄×C₁₃₉	—	2	4	no	—
190	C₄×D₄×C₁₃₉	—	2	4	no	—
191	C₄×D₄×C₁₃₉	—	2	4	no	—
192	C₄×D₄×C₁₃₉	—	2	8	no	—
193	C₄×D₄×C₁₃₉	—	2	4	no	—
194	C₄×D₄×C₁₃₉	—	2	8	no	—
195	C₄×D₄×C₁₃₉	—	2	4	no	—
196	C₄×D₄×C₁₃₉	—	2	4	no	—
197	C₄×D₄×C₁₃₉	D₄	1	8	yes	complemented
198	#117×C₁₃₉	—	2	4	no	—
199	#117×C₁₃₉	—	2	4	no	—
200	C₂×C₄⋊C₄×C₁₃₉	—	4	4	no	—
201	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
202	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
203	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
204	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
205	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
206	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
207	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
208	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
209	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
210	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
214	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
215	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
217	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
219	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
220	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
221	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
222	C₂×C₂²⋊C₄×C₁₃₉	—	4	4	no	—
223	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
224	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
226	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
230	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
234	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
236	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
237	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
238	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
239	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
242	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
243	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
244	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
245	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
246	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
247	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
248	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
249	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
250	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
251	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
252	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
254	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
255	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
257	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
258	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
259	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
260	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
261	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
262	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
263	#95×C₁₃₉	C₂³	1	2	yes	—
264	#95×C₁₃₉	C₂³	1	1	yes	characteristic
265	#95×C₁₃₉	C₂³	1	1	yes	characteristic
266	#95×C₁₃₉	C₂³	1	2	yes	—
267	#95×C₁₃₉	C₂³	1	1	yes	characteristic
268	#95×C₁₃₉	C₂³	1	1	yes	characteristic
269	#95×C₁₃₉	C₂³	1	2	yes	—
270	#95×C₁₃₉	C₂³	1	2	yes	—
271	#95×C₁₃₉	C₂³	1	2	yes	—
272	#95×C₁₃₉	C₂³	1	2	yes	—
273	#95×C₁₃₉	C₂³	1	1	yes	characteristic
274	#95×C₁₃₉	C₂³	1	1	yes	characteristic
275	#95×C₁₃₉	C₂³	1	2	yes	—
276	#95×C₁₃₉	C₂³	1	2	yes	—
277	C₂⁴×C₁₃₉	—	2	4	no	—
278	C₂⁴×C₁₃₉	—	2	4	no	—
279	C₂⁴×C₁₃₉	—	2	4	no	—
280	C₂⁴×C₁₃₉	—	2	4	no	—
281	C₂⁴×C₁₃₉	—	2	4	no	—
282	C₂⁴×C₁₃₉	—	2	4	no	—
283	C₂⁴×C₁₃₉	—	4	2	no	—
284	C₂⁴×C₁₃₉	—	4	2	no	—
285	C₂⁴×C₁₃₉	—	4	2	no	—
286	C₂⁴×C₁₃₉	—	4	2	no	—
287	C₂⁴×C₁₃₉	—	4	2	no	—
288	C₂⁴×C₁₃₉	—	4	2	no	—
289	C₂⁴×C₁₃₉	—	4	2	no	—
290	C₂⁴×C₁₃₉	C₂×D₄	1	8	yes	—
291	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
292	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
293	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
294	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
295	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
296	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
297	#41×C₁₃₉	—	4	16	no	—
298	C₂×Q₈×C₁₃₉	—	2	2	no	—
299	C₂×Q₈×C₁₃₉	—	2	2	no	—
300	C₂×Q₈×C₁₃₉	—	2	2	no	—
301	C₂×D₄×C₁₃₉	—	2	4	no	—
302	C₂×D₄×C₁₃₉	—	2	2	no	—
303	C₂×D₄×C₁₃₉	—	2	4	no	—
304	C₂×D₄×C₁₃₉	—	2	2	no	—
305	C₂×D₄×C₁₃₉	—	2	32	no	—
306	C₂×D₄×C₁₃₉	—	2	2	no	—
307	C₂×D₄×C₁₃₉	—	2	4	no	—
308	C₂×D₄×C₁₃₉	—	2	4	no	—
309	C₂×D₄×C₁₃₉	—	2	4	no	—
310	C₂×D₄×C₁₃₉	—	2	4	no	—
311	C₂×D₄×C₁₃₉	—	2	4	no	—
312	C₂×D₄×C₁₃₉	—	2	4	no	—
313	C₂×D₄×C₁₃₉	—	2	4	no	—
314	C₂×D₄×C₁₃₉	—	2	4	no	—
315	C₂×D₄×C₁₃₉	—	2	4	no	—
316	C₂×D₄×C₁₃₉	—	2	2	no	—
317	C₂×D₄×C₁₃₉	—	2	4	no	—
318	C₂×D₄×C₁₃₉	—	2	4	no	—
319	C₂×D₄×C₁₃₉	—	2	4	no	—
320	C₂×D₄×C₁₃₉	—	2	2	no	—
321	C₂×D₄×C₁₃₉	—	2	2	no	—
322	C₂×D₄×C₁₃₉	—	2	2	no	—
323	C₂×D₄×C₁₃₉	—	2	2	no	—
324	C₂×D₄×C₁₃₉	—	2	4	no	—
325	C₂×D₄×C₁₃₉	—	2	2	no	—
326	C₂×D₄×C₁₃₉	—	2	2	no	—
327	C₂×D₄×C₁₃₉	—	2	2	no	—
328	C₂×D₄×C₁₃₉	—	2	4	no	—
329	C₂×D₄×C₁₃₉	—	4	2	no	—
330	C₂×D₄×C₁₃₉	—	4	2	no	—
331	C₂×D₄×C₁₃₉	—	4	2	no	—
332	C₂×D₄×C₁₃₉	—	4	2	no	—
333	C₂×D₄×C₁₃₉	—	4	1	no	—
334	C₂×D₄×C₁₃₉	—	4	1	no	—
335	C₂×D₄×C₁₃₉	—	4	1	no	—
336	C₂×D₄×C₁₃₉	—	4	2	no	—
337	C₂×D₄×C₁₃₉	—	4	2	no	—
338	C₂×D₄×C₁₃₉	—	4	2	no	—
339	C₂×D₄×C₁₃₉	—	4	2	no	—
340	C₂×D₄×C₁₃₉	—	4	2	no	—
341	C₂×D₄×C₁₃₉	—	4	2	no	—
342	C₂×D₄×C₁₃₉	—	4	32	no	—
343	C₂×D₄×C₁₃₉	—	4	16	no	—
344	C₂×D₄×C₁₃₉	C₂×D₄	1	8	yes	—
345	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
346	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
347	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
348	C₂×D₄×C₁₃₉	#41	1	4	yes	—
349	C₂²×C₄×C₁₃₉	—	2	2	no	—
350	C₂²×C₄×C₁₃₉	—	2	2	no	—
351	C₂²×C₄×C₁₃₉	—	2	4	no	—
352	C₂²×C₄×C₁₃₉	—	2	4	no	—
353	C₂²×C₄×C₁₃₉	—	2	4	no	—
354	C₂²×C₄×C₁₃₉	—	2	4	no	—
355	C₂²×C₄×C₁₃₉	—	2	4	no	—
356	C₂²×C₄×C₁₃₉	—	2	4	no	—
357	C₂²×C₄×C₁₃₉	—	2	2	no	—
358	C₂²×C₄×C₁₃₉	—	2	2	no	—
359	C₂²×C₄×C₁₃₉	—	2	2	no	—
360	C₂²×C₄×C₁₃₉	—	2	2	no	—
361	C₂²×C₄×C₁₃₉	—	2	2	no	—
362	C₂²×C₄×C₁₃₉	—	2	2	no	—
363	C₂²×C₄×C₁₃₉	—	2	4	no	—
364	C₂²×C₄×C₁₃₉	—	2	4	no	—
365	C₂²×C₄×C₁₃₉	—	2	4	no	—
366	C₂²×C₄×C₁₃₉	—	4	2	no	—
367	C₂²×C₄×C₁₃₉	—	4	2	no	—
368	C₂²×C₄×C₁₃₉	—	4	2	no	—
369	C₂²×C₄×C₁₃₉	—	4	2	no	—
370	C₂²×C₄×C₁₃₉	—	4	2	no	—
371	C₂²×C₄×C₁₃₉	—	4	2	no	—
372	C₂²×C₄×C₁₃₉	—	4	2	no	—
373	C₂²×C₄×C₁₃₉	—	4	2	no	—
374	C₂²×C₄×C₁₃₉	—	4	2	no	—
375	C₂²×C₄×C₁₃₉	—	4	2	no	—
376	C₂²×C₄×C₁₃₉	—	4	2	no	—
377	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
378	C₂²×C₄×C₁₃₉	C₂×D₄	1	8	yes	complemented
379	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
383	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
384	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
385	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
386	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
388	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
390	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
391	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
393	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
396	C₄⋊C₄×C₁₃₉	—	2	2	no	—
397	C₄⋊C₄×C₁₃₉	—	2	2	no	—
398	C₄⋊C₄×C₁₃₉	—	2	2	no	—
399	C₄⋊C₄×C₁₃₉	—	2	2	no	—
400	C₄⋊C₄×C₁₃₉	—	2	2	no	—
401	C₄⋊C₄×C₁₃₉	—	2	2	no	—
402	C₄⋊C₄×C₁₃₉	—	2	2	no	—
403	C₄⋊C₄×C₁₃₉	—	2	2	no	—
404	C₄⋊C₄×C₁₃₉	—	2	4	no	—
405	C₄⋊C₄×C₁₃₉	—	2	4	no	—
406	C₄⋊C₄×C₁₃₉	—	2	2	no	—
407	C₄⋊C₄×C₁₃₉	—	2	4	no	—
408	C₄⋊C₄×C₁₃₉	—	4	2	no	—
409	C₄⋊C₄×C₁₃₉	—	4	2	no	—
410	C₄⋊C₄×C₁₃₉	—	4	1	no	—
411	C₄⋊C₄×C₁₃₉	—	4	2	no	—
412	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
413	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
414	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
415	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
416	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
417	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
418	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
419	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
420	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
421	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
422	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
423	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
424	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
425	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
426	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
427	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
428	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
429	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
430	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
431	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
432	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
433	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
434	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
435	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
436	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
437	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
438	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
439	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
440	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
441	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
442	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
443	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
444	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
445	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
446	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
447	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	8	yes	complemented
448	C₄²×C₁₃₉	—	2	4	no	—
449	C₄²×C₁₃₉	—	2	2	no	—
450	C₄²×C₁₃₉	—	2	2	no	—
451	C₄²×C₁₃₉	—	2	2	no	—
452	C₄²×C₁₃₉	C₂×D₄	1	4	yes	complemented
453	C₂³×C₁₃₉	—	2	2	no	—
454	C₂³×C₁₃₉	—	2	2	no	—
455	C₂³×C₁₃₉	—	2	2	no	—
456	C₂³×C₁₃₉	—	2	2	no	—
457	C₂³×C₁₃₉	—	2	1	no	—
458	C₂³×C₁₃₉	—	2	1	no	—
459	C₂³×C₁₃₉	—	2	2	no	—
460	C₂³×C₁₃₉	—	2	1	no	—
461	C₂³×C₁₃₉	—	2	1	no	—
462	C₂³×C₁₃₉	—	2	1	no	—
463	C₂³×C₁₃₉	—	2	2	no	—
464	C₂³×C₁₃₉	—	2	2	no	—
465	C₂³×C₁₃₉	—	2	2	no	—
466	C₂³×C₁₃₉	—	2	1	no	—
467	C₂³×C₁₃₉	—	2	1	no	—
468	C₂³×C₁₃₉	—	2	1	no	—
469	C₂³×C₁₃₉	—	2	1	no	—
470	C₂³×C₁₃₉	—	2	2	no	—
471	C₂³×C₁₃₉	—	2	2	no	—
472	C₂³×C₁₃₉	—	2	1	no	—
473	C₂³×C₁₃₉	—	2	1	no	—
474	C₂³×C₁₃₉	—	2	1	no	—
475	C₂³×C₁₃₉	—	2	16	no	—
476	C₂³×C₁₃₉	—	2	2	no	—
477	C₂³×C₁₃₉	—	2	1	no	—
478	C₂³×C₁₃₉	—	2	1	no	—
479	C₂³×C₁₃₉	—	2	2	no	—
480	C₂³×C₁₃₉	—	2	1	no	—
481	C₂³×C₁₃₉	—	2	2	no	—
482	C₂³×C₁₃₉	—	2	1	no	—
483	C₂³×C₁₃₉	—	2	1	no	—
484	C₂³×C₁₃₉	—	2	2	no	—
485	C₂³×C₁₃₉	—	2	2	no	—
486	C₂³×C₁₃₉	—	2	1	no	—
487	C₂³×C₁₃₉	—	2	2	no	—
488	C₂³×C₁₃₉	—	2	1	no	—
489	C₂³×C₁₃₉	—	2	2	no	—
490	C₂³×C₁₃₉	—	4	8	no	—
491	C₂³×C₁₃₉	—	4	8	no	—
492	C₂³×C₁₃₉	—	4	8	no	—
493	C₂³×C₁₃₉	—	4	8	no	—
494	C₂³×C₁₃₉	—	4	8	no	—
495	C₂³×C₁₃₉	—	4	8	no	—
496	C₂³×C₁₃₉	—	8	4	no	—
497	C₂³×C₁₃₉	—	8	4	no	—
498	C₂³×C₁₃₉	—	8	4	no	—
499	C₂³×C₁₃₉	—	8	4	no	—
500	C₂³×C₁₃₉	—	8	4	no	—
501	C₂³×C₁₃₉	—	8	4	no	—
502	C₂³×C₁₃₉	—	8	4	no	—
503	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
504	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
505	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
506	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
507	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
508	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
509	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
510	Q₈×C₁₃₉	—	4	4	no	—
511	D₄×C₁₃₉	—	2	8	no	—
512	D₄×C₁₃₉	—	2	16	no	—
513	D₄×C₁₃₉	—	2	8	no	—
514	D₄×C₁₃₉	—	4	4	no	—
515	D₄×C₁₃₉	—	4	8	no	—
516	D₄×C₁₃₉	—	4	8	no	—
517	D₄×C₁₃₉	—	4	4	no	—
518	D₄×C₁₃₉	—	4	8	no	—
519	D₄×C₁₃₉	—	4	8	no	—
520	D₄×C₁₃₉	—	4	8	no	—
521	D₄×C₁₃₉	—	4	4	no	—
522	D₄×C₁₃₉	—	8	4	no	—
523	D₄×C₁₃₉	—	8	4	no	—
524	D₄×C₁₃₉	—	8	4	no	—
525	D₄×C₁₃₉	#121	1	16	yes	complemented
526	C₂×C₄×C₁₃₉	—	2	1	no	—
527	C₂×C₄×C₁₃₉	—	2	1	no	—
528	C₂×C₄×C₁₃₉	—	2	1	no	—
529	C₂×C₄×C₁₃₉	—	2	1	no	—
530	C₂×C₄×C₁₃₉	—	2	2	no	—
531	C₂×C₄×C₁₃₉	—	2	1	no	—
532	C₂×C₄×C₁₃₉	—	2	1	no	—
533	C₂×C₄×C₁₃₉	—	2	1	no	—
534	C₂×C₄×C₁₃₉	—	2	1	no	—
535	C₂×C₄×C₁₃₉	—	2	2	no	—
536	C₂×C₄×C₁₃₉	—	2	8	no	—
537	C₂×C₄×C₁₃₉	—	2	1	no	—
538	C₂×C₄×C₁₃₉	—	2	1	no	—
539	C₂×C₄×C₁₃₉	—	2	1	no	—
540	C₂×C₄×C₁₃₉	—	2	2	no	—
541	C₂×C₄×C₁₃₉	—	2	1	no	—
542	C₂×C₄×C₁₃₉	—	2	1	no	—
543	C₂×C₄×C₁₃₉	—	2	2	no	—
544	C₂×C₄×C₁₃₉	—	2	1	no	—
545	C₂×C₄×C₁₃₉	—	2	1	no	—
546	C₂×C₄×C₁₃₉	—	2	1	no	—
547	C₂×C₄×C₁₃₉	—	2	2	no	—
548	C₂×C₄×C₁₃₉	—	2	2	no	—
549	C₂×C₄×C₁₃₉	—	2	2	no	—
550	C₂×C₄×C₁₃₉	—	2	1	no	—
551	C₂×C₄×C₁₃₉	—	2	1	no	—
552	C₂×C₄×C₁₃₉	—	2	1	no	—
553	C₂×C₄×C₁₃₉	—	2	2	no	—
554	C₂×C₄×C₁₃₉	—	2	1	no	—
555	C₂×C₄×C₁₃₉	—	2	1	no	—
556	C₂×C₄×C₁₃₉	—	2	2	no	—
557	C₂×C₄×C₁₃₉	—	2	1	no	—
558	C₂×C₄×C₁₃₉	—	2	2	no	—
559	C₂×C₄×C₁₃₉	—	2	2	no	—
560	C₂×C₄×C₁₃₉	—	2	2	no	—
561	C₂×C₄×C₁₃₉	—	2	1	no	—
562	C₂×C₄×C₁₃₉	—	2	2	no	—
563	C₂×C₄×C₁₃₉	—	2	1	no	—
564	C₂×C₄×C₁₃₉	—	2	1	no	—
565	C₂×C₄×C₁₃₉	—	2	2	no	—
566	C₂×C₄×C₁₃₉	—	2	1	no	—
567	C₂×C₄×C₁₃₉	—	2	1	no	—
568	C₂×C₄×C₁₃₉	—	2	1	no	—
569	C₂×C₄×C₁₃₉	—	2	1	no	—
570	C₂×C₄×C₁₃₉	—	4	8	no	—
571	C₂×C₄×C₁₃₉	—	4	8	no	—
572	C₂×C₄×C₁₃₉	—	4	8	no	—
573	C₂×C₄×C₁₃₉	—	4	4	no	—
574	C₂×C₄×C₁₃₉	—	4	4	no	—
575	C₂×C₄×C₁₃₉	—	8	4	no	—
576	C₂×C₄×C₁₃₉	—	8	4	no	—
577	C₂×C₄×C₁₃₉	—	8	4	no	—
578	C₂×C₄×C₁₃₉	—	8	4	no	—
579	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
580	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
581	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
582	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
583	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
584	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
585	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
586	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
587	C₂²×C₁₃₉	—	2	4	no	—
588	C₂²×C₁₃₉	—	2	4	no	—
589	C₂²×C₁₃₉	—	2	4	no	—
590	C₂²×C₁₃₉	—	2	4	no	—
591	C₂²×C₁₃₉	—	2	4	no	—
592	C₂²×C₁₃₉	—	2	4	no	—
593	C₂²×C₁₃₉	—	2	2	no	—
594	C₂²×C₁₃₉	—	2	4	no	—
595	C₂²×C₁₃₉	—	2	2	no	—
596	C₂²×C₁₃₉	—	2	2	no	—
597	C₂²×C₁₃₉	—	2	4	no	—
598	C₂²×C₁₃₉	—	2	2	no	—
599	C₂²×C₁₃₉	—	2	4	no	—
600	C₂²×C₁₃₉	—	2	2	no	—
601	C₂²×C₁₃₉	—	2	2	no	—
602	C₂²×C₁₃₉	—	4	1	no	—
603	C₂²×C₁₃₉	—	4	1	no	—
604	C₂²×C₁₃₉	—	4	2	no	—
605	C₂²×C₁₃₉	—	4	1	no	—
606	C₂²×C₁₃₉	—	4	2	no	—
607	C₂²×C₁₃₉	—	4	1	no	—
608	C₂²×C₁₃₉	—	4	1	no	—
609	C₂²×C₁₃₉	—	4	2	no	—
610	C₂²×C₁₃₉	—	4	1	no	—
611	C₂²×C₁₃₉	—	4	2	no	—
612	C₂²×C₁₃₉	—	4	1	no	—
613	C₂²×C₁₃₉	—	4	1	no	—
614	C₂²×C₁₃₉	—	4	1	no	—
615	C₂²×C₁₃₉	—	4	2	no	—
616	C₂²×C₁₃₉	—	4	2	no	—
617	C₂²×C₁₃₉	—	4	1	no	—
618	C₂²×C₁₃₉	—	4	1	no	—
619	C₂²×C₁₃₉	—	4	2	no	—
620	C₂²×C₁₃₉	—	4	1	no	—
621	C₂²×C₁₃₉	—	4	2	no	—
622	C₂²×C₁₃₉	—	4	1	no	—
623	C₂²×C₁₃₉	—	4	2	no	—
624	C₂²×C₁₃₉	—	4	1	no	—
625	C₂²×C₁₃₉	—	4	2	no	—
626	C₂²×C₁₃₉	—	4	1	no	—
627	C₂²×C₁₃₉	—	4	2	no	—
628	C₂²×C₁₃₉	—	8	16	no	—
629	C₂²×C₁₃₉	—	8	16	no	—
630	C₂²×C₁₃₉	C₂×#121	1	8	yes	—
631	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
632	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
633	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
634	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
635	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
636	C₂²×C₁₃₉	#585	1	1	yes	characteristic
637	C₂²×C₁₃₉	#585	1	1	yes	characteristic
638	C₄×C₁₃₉	—	2	2	no	—
639	C₄×C₁₃₉	—	2	2	no	—
640	C₄×C₁₃₉	—	2	2	no	—
641	C₄×C₁₃₉	—	2	2	no	—
642	C₄×C₁₃₉	—	2	4	no	—
643	C₄×C₁₃₉	—	4	1	no	—
644	C₄×C₁₃₉	—	4	1	no	—
645	C₄×C₁₃₉	—	4	2	no	—
646	C₄×C₁₃₉	—	4	2	no	—
647	C₄×C₁₃₉	—	4	1	no	—
648	C₄×C₁₃₉	—	4	2	no	—
649	C₄×C₁₃₉	—	4	1	no	—
650	C₄×C₁₃₉	—	4	1	no	—
651	C₄×C₁₃₉	—	4	2	no	—
652	C₄×C₁₃₉	—	4	1	no	—
653	C₄×C₁₃₉	—	4	1	no	—
654	C₄×C₁₃₉	C₂×#121	1	4	yes	—
655	C₂×C₁₃₉	—	2	8	no	—
656	C₂×C₁₃₉	—	4	4	no	—
657	C₂×C₁₃₉	—	4	2	no	—
658	C₂×C₁₃₉	—	4	2	no	—
659	C₂×C₁₃₉	—	8	1	no	—
660	C₂×C₁₃₉	—	8	2	no	—
661	C₂×C₁₃₉	C₂²×#121	1	1	yes	characteristic
662	C₂×C₁₃₉	#3484	1	1	yes	characteristic
663	C₂×C₁₃₉	#3485	1	1	yes	characteristic
664	C₂×C₁₃₉	#3488	1	1	yes	characteristic
665	C₂×C₁₃₉	#3496	1	1	yes	characteristic
666	C₂×C₁₃₉	#3513	1	1	yes	characteristic
667	C₂×C₁₃₉	#3514	1	1	yes	characteristic
668	#35761	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
669	C₁₃₉	#35761	1	1	yes	characteristic, direct product factor, Sylow
670	C₂×#546	C₂×C₁₃₉	1	1	yes	characteristic, complemented
671	C₂×#546	C₂×C₁₃₉	1	1	yes	characteristic, complemented
672	C₂×D₄²	C₂×C₁₃₉	1	1	yes	characteristic, complemented
673	C₂×#518	C₂×C₁₃₉	1	1	yes	characteristic, complemented
674	#2620	C₂×C₁₃₉	1	1	yes	characteristic, complemented
675	#2617	C₂×C₁₃₉	1	2	yes	complemented
676	#2544	C₂×C₁₃₉	1	1	yes	characteristic, complemented
677	#2537	C₂×C₁₃₉	1	1	yes	characteristic, complemented
678	#2534	C₂×C₁₃₉	1	2	yes	complemented
679	#2428	C₂×C₁₃₉	1	1	yes	characteristic, complemented
680	#2427	C₂×C₁₃₉	1	1	yes	characteristic, complemented
681	#2425	C₂×C₁₃₉	1	2	yes	complemented
682	#2424	C₂×C₁₃₉	1	2	yes	complemented
683	#2416	C₂×C₁₃₉	1	2	yes	complemented
684	#2415	C₂×C₁₃₉	1	1	yes	characteristic, complemented
685	#2414	C₂×C₁₃₉	1	1	yes	characteristic, complemented
686	#2412	C₂×C₁₃₉	1	2	yes	complemented
687	#2410	C₂×C₁₃₉	1	2	yes	complemented
688	#2392	C₂×C₁₃₉	1	1	yes	characteristic, complemented
689	C₂×#394	C₂×C₁₃₉	1	2	yes	complemented
690	D₄×C₄⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
691	#2339	C₂×C₁₃₉	1	1	yes	characteristic, complemented
692	D₄×C₂²⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
693	C₂²×#41	C₂²×C₁₃₉	1	1	yes	characteristic
694	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
695	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
696	C₂³×D₄	C₂²×C₁₃₉	1	2	yes	—
697	#546	—	2	8	no	—
698	#546	—	2	8	no	—
699	D₄²	—	2	8	no	—
700	C₂×#127	C₂²×C₁₃₉	1	1	yes	characteristic
701	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
702	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
703	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
704	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
705	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
706	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
707	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
708	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
709	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
710	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
711	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
712	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
713	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
714	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
715	C₂×#121	C₂²×C₁₃₉	1	2	yes	complemented
716	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
717	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
718	C₂×#120	C₂²×C₁₃₉	1	2	yes	complemented
719	C₂×#120	C₂²×C₁₃₉	1	2	yes	complemented
720	#518	—	2	8	no	—
721	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
722	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
723	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
724	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
725	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
726	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
727	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
728	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
729	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
730	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
731	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
732	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
733	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
734	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
735	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
736	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
737	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
738	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
739	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
740	#398	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
741	#397	C₂²×C₁₃₉	1	2	yes	complemented
742	#397	C₂²×C₁₃₉	1	2	yes	complemented
743	#397	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
744	#396	C₂²×C₁₃₉	1	2	yes	complemented
745	#396	C₂²×C₁₃₉	1	2	yes	complemented
746	#396	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
747	#396	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
748	#394	C₂²×C₁₃₉	1	1	yes	characteristic
749	#394	C₂²×C₁₃₉	1	2	yes	—
750	#394	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
751	#394	C₂²×C₁₃₉	1	2	yes	complemented
752	#394	C₂²×C₁₃₉	1	2	yes	complemented
753	#394	C₂²×C₁₃₉	1	2	yes	complemented
754	#394	C₂²×C₁₃₉	1	2	yes	complemented
755	#394	C₂²×C₁₃₉	1	2	yes	complemented
756	#394	C₂²×C₁₃₉	1	2	yes	complemented
757	#394	C₂²×C₁₃₉	1	2	yes	complemented
758	#394	C₂²×C₁₃₉	1	2	yes	complemented
759	#394	C₂²×C₁₃₉	1	2	yes	complemented
760	#394	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
761	#392	C₂²×C₁₃₉	1	1	yes	characteristic
762	#392	C₂²×C₁₃₉	1	2	yes	complemented
763	#392	C₂²×C₁₃₉	1	2	yes	complemented
764	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
765	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
766	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
767	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
768	#390	C₂²×C₁₃₉	1	2	yes	complemented
769	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
770	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
771	#389	C₂²×C₁₃₉	1	2	yes	complemented
772	#388	C₂²×C₁₃₉	1	2	yes	complemented
773	#388	C₂²×C₁₃₉	1	2	yes	complemented
774	#386	C₂²×C₁₃₉	1	2	yes	complemented
775	#386	C₂²×C₁₃₉	1	2	yes	complemented
776	#386	C₂²×C₁₃₉	1	2	yes	complemented
777	#386	C₂²×C₁₃₉	1	2	yes	complemented
778	#386	C₂²×C₁₃₉	1	2	yes	complemented
779	#386	C₂²×C₁₃₉	1	2	yes	complemented
780	#386	C₂²×C₁₃₉	1	2	yes	complemented
781	#386	C₂²×C₁₃₉	1	2	yes	complemented
782	#385	C₂²×C₁₃₉	1	2	yes	complemented
783	#385	C₂²×C₁₃₉	1	2	yes	complemented
784	#384	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
785	#381	C₂²×C₁₃₉	1	2	yes	complemented
786	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
787	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
788	#380	C₂²×C₁₃₉	1	2	yes	complemented
789	#380	C₂²×C₁₃₉	1	2	yes	complemented
790	#380	C₂²×C₁₃₉	1	2	yes	complemented
791	#379	C₂²×C₁₃₉	1	2	yes	complemented
792	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
793	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
794	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
795	C₂×#95	C₂²×C₁₃₉	1	2	yes	complemented
796	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
797	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
798	C₂×#41	—	2	4	no	—
799	C₂×#41	—	2	4	no	—
800	C₂×#41	—	2	4	no	—
801	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
802	C₂²×D₄	—	2	4	no	—
803	C₂²×D₄	—	2	4	no	—
804	C₂²×D₄	—	2	8	no	—
805	C₂²×D₄	—	2	4	no	—
806	C₂²×D₄	—	2	4	no	—
807	C₂²×D₄	—	2	4	no	—
808	C₂²×D₄	—	4	4	no	—
809	C₂²×D₄	—	4	4	no	—
810	C₂²×D₄	D₄×C₁₃₉	1	8	yes	complemented
811	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
812	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
813	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
814	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
815	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
816	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
817	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
818	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
819	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
820	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
821	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
822	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
823	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
824	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
825	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
826	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
827	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
828	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
829	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
830	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
831	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
832	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
833	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
834	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
835	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
836	#127	—	2	4	no	—
837	#124	—	2	4	no	—
838	#124	—	2	4	no	—
839	#123	—	2	8	no	—
840	#123	—	2	8	no	—
841	C₂²⋊Q₈	—	2	4	no	—
842	C₂²⋊Q₈	—	2	4	no	—
843	#121	—	2	4	no	—
844	#121	—	2	8	no	—
845	#121	—	2	4	no	—
846	#121	—	2	8	no	—
847	#121	—	2	4	no	—
848	#121	—	2	8	no	—
849	#121	—	2	4	no	—
850	#121	—	4	4	no	—
851	#121	—	4	4	no	—
852	#120	—	2	8	no	—
853	#120	—	2	8	no	—
854	#120	—	2	8	no	—
855	#120	—	2	8	no	—
856	C₄×D₄	—	2	4	no	—
857	C₄×D₄	—	2	4	no	—
858	C₄×D₄	—	2	4	no	—
859	C₄×D₄	—	2	4	no	—
860	C₄×D₄	—	2	4	no	—
861	C₄×D₄	—	2	8	no	—
862	C₄×D₄	—	2	4	no	—
863	C₄×D₄	—	2	8	no	—
864	C₄×D₄	—	2	4	no	—
865	C₄×D₄	—	2	4	no	—
866	C₄×D₄	D₄×C₁₃₉	1	8	yes	complemented
867	#117	—	2	4	no	—
868	#117	—	2	4	no	—
869	C₂×C₄⋊C₄	—	4	4	no	—
870	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
871	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
872	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
873	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
874	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
875	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
876	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
877	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
878	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
879	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
880	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
881	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
882	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
883	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
884	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
885	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
886	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
887	C₂×C₂²⋊C₄	—	2	8	no	—
888	C₂×C₂²⋊C₄	—	2	8	no	—
889	C₂×C₂²⋊C₄	—	2	8	no	—
890	C₂×C₂²⋊C₄	—	2	8	no	—
891	C₂×C₂²⋊C₄	—	4	4	no	—
892	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
893	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
894	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
895	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
896	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
897	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
898	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
899	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
900	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
901	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
902	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
903	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
904	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
905	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
906	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
907	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
908	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
909	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
910	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
911	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
912	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
913	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
914	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
915	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
916	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
917	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
918	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
919	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
920	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
921	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
922	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
923	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
924	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
925	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
926	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
927	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
928	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
929	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
930	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
931	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
932	#95	C₂³×C₁₃₉	1	1	yes	characteristic
933	#95	C₂³×C₁₃₉	1	2	yes	—
934	#95	C₂³×C₁₃₉	1	2	yes	—
935	#95	C₂³×C₁₃₉	1	2	yes	—
936	#95	C₂³×C₁₃₉	1	1	yes	characteristic
937	#95	C₂³×C₁₃₉	1	1	yes	characteristic
938	#95	C₂³×C₁₃₉	1	1	yes	characteristic
939	#95	C₂³×C₁₃₉	1	1	yes	characteristic
940	#95	C₂³×C₁₃₉	1	1	yes	characteristic
941	#95	C₂³×C₁₃₉	1	2	yes	—
942	#95	C₂³×C₁₃₉	1	2	yes	—
943	#95	C₂³×C₁₃₉	1	2	yes	—
944	#95	C₂³×C₁₃₉	1	2	yes	—
945	#95	C₂³×C₁₃₉	1	2	yes	—
946	C₂⁴	—	2	4	no	—
947	C₂⁴	—	2	4	no	—
948	C₂⁴	—	2	4	no	—
949	C₂⁴	—	2	4	no	—
950	C₂⁴	—	2	4	no	—
951	C₂⁴	—	2	4	no	—
952	C₂⁴	—	4	2	no	—
953	C₂⁴	—	4	2	no	—
954	C₂⁴	—	4	2	no	—
955	C₂⁴	—	4	2	no	—
956	C₂⁴	—	4	2	no	—
957	C₂⁴	—	4	2	no	—
958	C₂⁴	—	4	2	no	—
959	C₂⁴	C₂×D₄×C₁₃₉	1	8	yes	—
960	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
961	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
962	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
963	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
964	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
965	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
966	#41	—	4	16	no	—
967	C₂×Q₈	—	2	2	no	—
968	C₂×Q₈	—	2	2	no	—
969	C₂×Q₈	—	2	2	no	—
970	C₂×D₄	—	2	4	no	—
971	C₂×D₄	—	2	2	no	—
972	C₂×D₄	—	2	4	no	—
973	C₂×D₄	—	2	2	no	—
974	C₂×D₄	—	2	32	no	—
975	C₂×D₄	—	2	2	no	—
976	C₂×D₄	—	2	4	no	—
977	C₂×D₄	—	2	4	no	—
978	C₂×D₄	—	2	4	no	—
979	C₂×D₄	—	2	4	no	—
980	C₂×D₄	—	2	4	no	—
981	C₂×D₄	—	2	4	no	—
982	C₂×D₄	—	2	4	no	—
983	C₂×D₄	—	2	4	no	—
984	C₂×D₄	—	2	4	no	—
985	C₂×D₄	—	2	2	no	—
986	C₂×D₄	—	2	4	no	—
987	C₂×D₄	—	2	4	no	—
988	C₂×D₄	—	2	4	no	—
989	C₂×D₄	—	2	2	no	—
990	C₂×D₄	—	2	2	no	—
991	C₂×D₄	—	2	2	no	—
992	C₂×D₄	—	2	2	no	—
993	C₂×D₄	—	2	4	no	—
994	C₂×D₄	—	2	2	no	—
995	C₂×D₄	—	2	2	no	—
996	C₂×D₄	—	2	2	no	—
997	C₂×D₄	—	2	4	no	—
998	C₂×D₄	—	4	2	no	—
999	C₂×D₄	—	4	2	no	—
1000	C₂×D₄	—	4	2	no	—
1001	C₂×D₄	—	4	2	no	—
1002	C₂×D₄	—	4	1	no	—
1003	C₂×D₄	—	4	1	no	—
1004	C₂×D₄	—	4	1	no	—
1005	C₂×D₄	—	4	2	no	—
1006	C₂×D₄	—	4	2	no	—
1007	C₂×D₄	—	4	2	no	—
1008	C₂×D₄	—	4	2	no	—
1009	C₂×D₄	—	4	2	no	—
1010	C₂×D₄	—	4	2	no	—
1011	C₂×D₄	—	4	32	no	—
1012	C₂×D₄	—	4	16	no	—
1013	C₂×D₄	C₂×D₄×C₁₃₉	1	8	yes	—
1014	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
1015	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
1016	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
1017	C₂×D₄	#41×C₁₃₉	1	4	yes	—
1018	C₂²×C₄	—	2	2	no	—
1019	C₂²×C₄	—	2	2	no	—
1020	C₂²×C₄	—	2	4	no	—
1021	C₂²×C₄	—	2	4	no	—
1022	C₂²×C₄	—	2	4	no	—
1023	C₂²×C₄	—	2	4	no	—
1024	C₂²×C₄	—	2	4	no	—
1025	C₂²×C₄	—	2	4	no	—
1026	C₂²×C₄	—	2	2	no	—
1027	C₂²×C₄	—	2	2	no	—
1028	C₂²×C₄	—	2	2	no	—
1029	C₂²×C₄	—	2	2	no	—
1030	C₂²×C₄	—	2	2	no	—
1031	C₂²×C₄	—	2	2	no	—
1032	C₂²×C₄	—	2	4	no	—
1033	C₂²×C₄	—	2	4	no	—
1034	C₂²×C₄	—	2	4	no	—
1035	C₂²×C₄	—	4	2	no	—
1036	C₂²×C₄	—	4	2	no	—
1037	C₂²×C₄	—	4	2	no	—
1038	C₂²×C₄	—	4	2	no	—
1039	C₂²×C₄	—	4	2	no	—
1040	C₂²×C₄	—	4	2	no	—
1041	C₂²×C₄	—	4	2	no	—
1042	C₂²×C₄	—	4	2	no	—
1043	C₂²×C₄	—	4	2	no	—
1044	C₂²×C₄	—	4	2	no	—
1045	C₂²×C₄	—	4	2	no	—
1046	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1047	C₂²×C₄	C₂×D₄×C₁₃₉	1	8	yes	complemented
1048	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1049	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1050	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1051	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1052	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1053	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1054	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1055	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1056	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1057	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1058	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1059	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1060	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1061	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1062	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1063	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1064	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1065	C₄⋊C₄	—	2	2	no	—
1066	C₄⋊C₄	—	2	2	no	—
1067	C₄⋊C₄	—	2	2	no	—
1068	C₄⋊C₄	—	2	2	no	—
1069	C₄⋊C₄	—	2	2	no	—
1070	C₄⋊C₄	—	2	2	no	—
1071	C₄⋊C₄	—	2	2	no	—
1072	C₄⋊C₄	—	2	2	no	—
1073	C₄⋊C₄	—	2	4	no	—
1074	C₄⋊C₄	—	2	4	no	—
1075	C₄⋊C₄	—	2	2	no	—
1076	C₄⋊C₄	—	2	4	no	—
1077	C₄⋊C₄	—	4	2	no	—
1078	C₄⋊C₄	—	4	2	no	—
1079	C₄⋊C₄	—	4	1	no	—
1080	C₄⋊C₄	—	4	2	no	—
1081	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
1082	C₂²⋊C₄	—	2	2	no	—
1083	C₂²⋊C₄	—	2	4	no	—
1084	C₂²⋊C₄	—	2	4	no	—
1085	C₂²⋊C₄	—	2	4	no	—
1086	C₂²⋊C₄	—	2	4	no	—
1087	C₂²⋊C₄	—	2	2	no	—
1088	C₂²⋊C₄	—	2	4	no	—
1089	C₂²⋊C₄	—	2	4	no	—
1090	C₂²⋊C₄	—	2	4	no	—
1091	C₂²⋊C₄	—	2	4	no	—
1092	C₂²⋊C₄	—	2	2	no	—
1093	C₂²⋊C₄	—	2	4	no	—
1094	C₂²⋊C₄	—	2	4	no	—
1095	C₂²⋊C₄	—	2	2	no	—
1096	C₂²⋊C₄	—	2	2	no	—
1097	C₂²⋊C₄	—	2	2	no	—
1098	C₂²⋊C₄	—	2	4	no	—
1099	C₂²⋊C₄	—	2	4	no	—
1100	C₂²⋊C₄	—	2	4	no	—
1101	C₂²⋊C₄	—	2	4	no	—
1102	C₂²⋊C₄	—	2	4	no	—
1103	C₂²⋊C₄	—	2	2	no	—
1104	C₂²⋊C₄	—	2	2	no	—
1105	C₂²⋊C₄	—	2	2	no	—
1106	C₂²⋊C₄	—	2	4	no	—
1107	C₂²⋊C₄	—	2	4	no	—
1108	C₂²⋊C₄	—	2	2	no	—
1109	C₂²⋊C₄	—	4	2	no	—
1110	C₂²⋊C₄	—	4	2	no	—
1111	C₂²⋊C₄	—	4	2	no	—
1112	C₂²⋊C₄	—	4	1	no	—
1113	C₂²⋊C₄	—	4	1	no	—
1114	C₂²⋊C₄	—	4	2	no	—
1115	C₂²⋊C₄	—	4	2	no	—
1116	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	8	yes	complemented
1117	C₄²	—	2	4	no	—
1118	C₄²	—	2	2	no	—
1119	C₄²	—	2	2	no	—
1120	C₄²	—	2	2	no	—
1121	C₄²	C₂×D₄×C₁₃₉	1	4	yes	complemented
1122	C₂³	—	2	2	no	—
1123	C₂³	—	2	2	no	—
1124	C₂³	—	2	2	no	—
1125	C₂³	—	2	2	no	—
1126	C₂³	—	2	1	no	—
1127	C₂³	—	2	1	no	—
1128	C₂³	—	2	2	no	—
1129	C₂³	—	2	1	no	—
1130	C₂³	—	2	1	no	—
1131	C₂³	—	2	1	no	—
1132	C₂³	—	2	2	no	—
1133	C₂³	—	2	2	no	—
1134	C₂³	—	2	2	no	—
1135	C₂³	—	2	1	no	—
1136	C₂³	—	2	1	no	—
1137	C₂³	—	2	1	no	—
1138	C₂³	—	2	1	no	—
1139	C₂³	—	2	2	no	—
1140	C₂³	—	2	2	no	—
1141	C₂³	—	2	1	no	—
1142	C₂³	—	2	1	no	—
1143	C₂³	—	2	1	no	—
1144	C₂³	—	2	16	no	—
1145	C₂³	—	2	2	no	—
1146	C₂³	—	2	1	no	—
1147	C₂³	—	2	1	no	—
1148	C₂³	—	2	2	no	—
1149	C₂³	—	2	1	no	—
1150	C₂³	—	2	2	no	—
1151	C₂³	—	2	1	no	—
1152	C₂³	—	2	1	no	—
1153	C₂³	—	2	2	no	—
1154	C₂³	—	2	2	no	—
1155	C₂³	—	2	1	no	—
1156	C₂³	—	2	2	no	—
1157	C₂³	—	2	1	no	—
1158	C₂³	—	2	2	no	—
1159	C₂³	—	4	8	no	—
1160	C₂³	—	4	8	no	—
1161	C₂³	—	4	8	no	—
1162	C₂³	—	4	8	no	—
1163	C₂³	—	4	8	no	—
1164	C₂³	—	4	8	no	—
1165	C₂³	—	8	4	no	—
1166	C₂³	—	8	4	no	—
1167	C₂³	—	8	4	no	—
1168	C₂³	—	8	4	no	—
1169	C₂³	—	8	4	no	—
1170	C₂³	—	8	4	no	—
1171	C₂³	—	8	4	no	—
1172	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1173	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
1174	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
1175	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
1176	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
1177	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1178	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
1179	Q₈	—	4	4	no	—
1180	D₄	—	2	8	no	—
1181	D₄	—	2	16	no	—
1182	D₄	—	2	8	no	—
1183	D₄	—	4	8	no	—
1184	D₄	—	4	4	no	—
1185	D₄	—	4	8	no	—
1186	D₄	—	4	8	no	—
1187	D₄	—	4	4	no	—
1188	D₄	—	4	8	no	—
1189	D₄	—	4	8	no	—
1190	D₄	—	4	4	no	—
1191	D₄	—	8	4	no	—
1192	D₄	—	8	4	no	—
1193	D₄	—	8	4	no	—
1194	D₄	#121×C₁₃₉	1	16	yes	complemented
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	2	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	2	no	—
1205	C₂×C₄	—	2	8	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	2	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	2	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	2	no	—
1217	C₂×C₄	—	2	2	no	—
1218	C₂×C₄	—	2	2	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	2	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	2	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	2	no	—
1228	C₂×C₄	—	2	2	no	—
1229	C₂×C₄	—	2	2	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	2	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	2	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	4	8	no	—
1240	C₂×C₄	—	4	8	no	—
1241	C₂×C₄	—	4	8	no	—
1242	C₂×C₄	—	4	4	no	—
1243	C₂×C₄	—	4	4	no	—
1244	C₂×C₄	—	8	4	no	—
1245	C₂×C₄	—	8	4	no	—
1246	C₂×C₄	—	8	4	no	—
1247	C₂×C₄	—	8	4	no	—
1248	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
1249	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1250	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1251	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1252	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1253	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1254	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1255	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1256	C₂²	—	2	4	no	—
1257	C₂²	—	2	4	no	—
1258	C₂²	—	2	4	no	—
1259	C₂²	—	2	4	no	—
1260	C₂²	—	2	4	no	—
1261	C₂²	—	2	4	no	—
1262	C₂²	—	2	2	no	—
1263	C₂²	—	2	4	no	—
1264	C₂²	—	2	2	no	—
1265	C₂²	—	2	2	no	—
1266	C₂²	—	2	4	no	—
1267	C₂²	—	2	2	no	—
1268	C₂²	—	2	4	no	—
1269	C₂²	—	2	2	no	—
1270	C₂²	—	2	2	no	—
1271	C₂²	—	4	1	no	—
1272	C₂²	—	4	1	no	—
1273	C₂²	—	4	2	no	—
1274	C₂²	—	4	1	no	—
1275	C₂²	—	4	2	no	—
1276	C₂²	—	4	1	no	—
1277	C₂²	—	4	1	no	—
1278	C₂²	—	4	1	no	—
1279	C₂²	—	4	2	no	—
1280	C₂²	—	4	1	no	—
1281	C₂²	—	4	1	no	—
1282	C₂²	—	4	2	no	—
1283	C₂²	—	4	1	no	—
1284	C₂²	—	4	2	no	—
1285	C₂²	—	4	2	no	—
1286	C₂²	—	4	1	no	—
1287	C₂²	—	4	1	no	—
1288	C₂²	—	4	2	no	—
1289	C₂²	—	4	1	no	—
1290	C₂²	—	4	2	no	—
1291	C₂²	—	4	1	no	—
1292	C₂²	—	4	2	no	—
1293	C₂²	—	4	2	no	—
1294	C₂²	—	4	1	no	—
1295	C₂²	—	4	2	no	—
1296	C₂²	—	4	1	no	—
1297	C₂²	—	8	16	no	—
1298	C₂²	—	8	16	no	—
1299	C₂²	C₂×#121×C₁₃₉	1	8	yes	—
1300	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1301	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1302	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1303	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1304	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1305	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1306	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1307	C₄	—	2	2	no	—
1308	C₄	—	2	2	no	—
1309	C₄	—	2	2	no	—
1310	C₄	—	2	2	no	—
1311	C₄	—	2	4	no	—
1312	C₄	—	4	1	no	—
1313	C₄	—	4	1	no	—
1314	C₄	—	4	2	no	—
1315	C₄	—	4	2	no	—
1316	C₄	—	4	1	no	—
1317	C₄	—	4	2	no	—
1318	C₄	—	4	1	no	—
1319	C₄	—	4	1	no	—
1320	C₄	—	4	2	no	—
1321	C₄	—	4	1	no	—
1322	C₄	—	4	1	no	—
1323	C₄	C₂×#121×C₁₃₉	1	4	yes	—
1324	C₂	—	2	8	no	—
1325	C₂	—	4	2	no	—
1326	C₂	—	4	2	no	—
1327	C₂	—	4	4	no	—
1328	C₂	—	8	2	no	—
1329	C₂	—	8	1	no	—
1330	C₂	C₂²×#121×C₁₃₉	1	1	yes	characteristic
1331	C₂	#3484×C₁₃₉	1	1	yes	characteristic
1332	C₂	#3485×C₁₃₉	1	1	yes	characteristic
1333	C₂	#3488×C₁₃₉	1	1	yes	characteristic
1334	C₂	#3496×C₁₃₉	1	1	yes	characteristic
1335	C₂	#3513×C₁₃₉	1	1	yes	characteristic
1336	C₂	#3514×C₁₃₉	1	1	yes	characteristic

	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×#546×C₁₃₉	C₂	semidirect
2. C₂×#546×C₁₃₉	C₂	semidirect
3. C₂×D₄²×C₁₃₉	C₂	semidirect
4. C₂×#518×C₁₃₉	C₂	semidirect
5. #2620×C₁₃₉	C₂	semidirect
6. #2617×C₁₃₉	C₂	semidirect
7. #2544×C₁₃₉	C₂	semidirect
8. #2537×C₁₃₉	C₂	semidirect
9. #2534×C₁₃₉	C₂	semidirect
10. #2428×C₁₃₉	C₂	semidirect
11. #2427×C₁₃₉	C₂	semidirect
12. #2425×C₁₃₉	C₂	semidirect
13. #2424×C₁₃₉	C₂	semidirect
14. #2416×C₁₃₉	C₂	semidirect
15. #2415×C₁₃₉	C₂	semidirect
16. #2414×C₁₃₉	C₂	semidirect
17. #2412×C₁₃₉	C₂	semidirect
18. #2410×C₁₃₉	C₂	semidirect
19. #2392×C₁₃₉	C₂	semidirect
20. C₂×#394×C₁₃₉	C₂	semidirect
21. D₄×C₄⋊C₄×C₁₃₉	C₂	semidirect
22. #2339×C₁₃₉	C₂	semidirect
23. D₄×C₂²⋊C₄×C₁₃₉	C₂	semidirect
32. C₂×#124×C₁₃₉	C₂²	semidirect
33. C₂×#124×C₁₃₉	C₂²	semidirect
34. C₂×#123×C₁₃₉	C₂²	semidirect
35. C₂×#123×C₁₃₉	C₂²	semidirect
36. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
37. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
41. C₂×#121×C₁₃₉	C₂²	semidirect
42. C₂×#121×C₁₃₉	C₂²	semidirect
43. C₂×#121×C₁₃₉	C₂²	semidirect
44. C₂×#121×C₁₃₉	C₂²	semidirect
45. C₂×#121×C₁₃₉	C₂²	semidirect
46. C₂×#121×C₁₃₉	C₂²	semidirect
49. C₂×#120×C₁₃₉	C₂²	semidirect
50. C₂×#120×C₁₃₉	C₂²	semidirect
57. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
58. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
59. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
60. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
61. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
62. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
63. C₂×#117×C₁₃₉	C₂²	semidirect
64. C₂×#117×C₁₃₉	C₂²	semidirect
65. C₂²×C₄⋊C₄×C₁₃₉	C₂²	semidirect
66. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
67. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
68. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
69. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
70. C₂²×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
71. #398×C₁₃₉	C₂²	semidirect
72. #397×C₁₃₉	C₂²	semidirect
73. #397×C₁₃₉	C₂²	semidirect
74. #397×C₁₃₉	C₂²	semidirect
75. #396×C₁₃₉	C₂²	semidirect
76. #396×C₁₃₉	C₂²	semidirect
77. #396×C₁₃₉	C₂²	semidirect
78. #396×C₁₃₉	C₂²	semidirect
81. #394×C₁₃₉	C₂²	semidirect
82. #394×C₁₃₉	C₂²	semidirect
83. #394×C₁₃₉	C₂²	semidirect
84. #394×C₁₃₉	C₂²	semidirect
85. #394×C₁₃₉	C₂²	semidirect
86. #394×C₁₃₉	C₂²	semidirect
87. #394×C₁₃₉	C₂²	semidirect
88. #394×C₁₃₉	C₂²	semidirect
89. #394×C₁₃₉	C₂²	semidirect
90. #394×C₁₃₉	C₂²	semidirect
91. #394×C₁₃₉	C₂²	semidirect
93. #392×C₁₃₉	C₂²	semidirect
94. #392×C₁₃₉	C₂²	semidirect
95. #391×C₁₃₉	C₂²	semidirect
96. #391×C₁₃₉	C₂²	semidirect
97. #390×C₁₃₉	C₂²	semidirect
98. #390×C₁₃₉	C₂²	semidirect
99. #390×C₁₃₉	C₂²	semidirect
100. #389×C₁₃₉	C₂²	semidirect
101. #389×C₁₃₉	C₂²	semidirect
102. #389×C₁₃₉	C₂²	semidirect
103. #388×C₁₃₉	C₂²	semidirect
104. #388×C₁₃₉	C₂²	semidirect
105. #386×C₁₃₉	C₂²	semidirect
106. #386×C₁₃₉	C₂²	semidirect
107. #386×C₁₃₉	C₂²	semidirect
108. #386×C₁₃₉	C₂²	semidirect
109. #386×C₁₃₉	C₂²	semidirect
110. #386×C₁₃₉	C₂²	semidirect
111. #386×C₁₃₉	C₂²	semidirect
112. #386×C₁₃₉	C₂²	semidirect
113. #385×C₁₃₉	C₂²	semidirect
114. #385×C₁₃₉	C₂²	semidirect
115. #384×C₁₃₉	C₂²	semidirect
116. #381×C₁₃₉	C₂²	semidirect
117. #380×C₁₃₉	C₂²	semidirect
118. #380×C₁₃₉	C₂²	semidirect
119. #380×C₁₃₉	C₂²	semidirect
120. #380×C₁₃₉	C₂²	semidirect
121. #380×C₁₃₉	C₂²	semidirect
122. #379×C₁₃₉	C₂²	semidirect
123. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
124. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
125. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
126. C₂×#95×C₁₃₉	C₂²	semidirect
141. C₂²×D₄×C₁₃₉	D₄	semidirect
197. C₄×D₄×C₁₃₉	D₄	semidirect
378. C₂²×C₄×C₁₃₉	C₂×D₄	semidirect
412. C₄⋊C₄×C₁₃₉	C₂×D₄	semidirect
447. C₂²⋊C₄×C₁₃₉	C₂×D₄	semidirect
452. C₄²×C₁₃₉	C₂×D₄	semidirect
525. D₄×C₁₃₉	#121	semidirect
668. #35761	C₁₃₉	direct (N × H)
669. C₁₃₉	#35761	direct (N × H)
670. C₂×#546	C₂×C₁₃₉	semidirect
671. C₂×#546	C₂×C₁₃₉	semidirect
672. C₂×D₄²	C₂×C₁₃₉	semidirect
673. C₂×#518	C₂×C₁₃₉	semidirect
674. #2620	C₂×C₁₃₉	semidirect
675. #2617	C₂×C₁₃₉	semidirect
676. #2544	C₂×C₁₃₉	semidirect
677. #2537	C₂×C₁₃₉	semidirect
678. #2534	C₂×C₁₃₉	semidirect
679. #2428	C₂×C₁₃₉	semidirect
680. #2427	C₂×C₁₃₉	semidirect
681. #2425	C₂×C₁₃₉	semidirect
682. #2424	C₂×C₁₃₉	semidirect
683. #2416	C₂×C₁₃₉	semidirect
684. #2415	C₂×C₁₃₉	semidirect
685. #2414	C₂×C₁₃₉	semidirect
686. #2412	C₂×C₁₃₉	semidirect
687. #2410	C₂×C₁₃₉	semidirect
688. #2392	C₂×C₁₃₉	semidirect
689. C₂×#394	C₂×C₁₃₉	semidirect
690. D₄×C₄⋊C₄	C₂×C₁₃₉	semidirect
691. #2339	C₂×C₁₃₉	semidirect
692. D₄×C₂²⋊C₄	C₂×C₁₃₉	semidirect
701. C₂×#124	C₂²×C₁₃₉	semidirect
702. C₂×#124	C₂²×C₁₃₉	semidirect
703. C₂×#123	C₂²×C₁₃₉	semidirect
704. C₂×#123	C₂²×C₁₃₉	semidirect
705. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
706. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
710. C₂×#121	C₂²×C₁₃₉	semidirect
711. C₂×#121	C₂²×C₁₃₉	semidirect
712. C₂×#121	C₂²×C₁₃₉	semidirect
713. C₂×#121	C₂²×C₁₃₉	semidirect
714. C₂×#121	C₂²×C₁₃₉	semidirect
715. C₂×#121	C₂²×C₁₃₉	semidirect
718. C₂×#120	C₂²×C₁₃₉	semidirect
719. C₂×#120	C₂²×C₁₃₉	semidirect
726. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
727. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
728. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
729. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
730. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
731. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
732. C₂×#117	C₂²×C₁₃₉	semidirect
733. C₂×#117	C₂²×C₁₃₉	semidirect
734. C₂²×C₄⋊C₄	C₂²×C₁₃₉	semidirect
735. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
736. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
737. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
738. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
739. C₂²×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
740. #398	C₂²×C₁₃₉	semidirect
741. #397	C₂²×C₁₃₉	semidirect
742. #397	C₂²×C₁₃₉	semidirect
743. #397	C₂²×C₁₃₉	semidirect
744. #396	C₂²×C₁₃₉	semidirect
745. #396	C₂²×C₁₃₉	semidirect
746. #396	C₂²×C₁₃₉	semidirect
747. #396	C₂²×C₁₃₉	semidirect
750. #394	C₂²×C₁₃₉	semidirect
751. #394	C₂²×C₁₃₉	semidirect
752. #394	C₂²×C₁₃₉	semidirect
753. #394	C₂²×C₁₃₉	semidirect
754. #394	C₂²×C₁₃₉	semidirect
755. #394	C₂²×C₁₃₉	semidirect
756. #394	C₂²×C₁₃₉	semidirect
757. #394	C₂²×C₁₃₉	semidirect
758. #394	C₂²×C₁₃₉	semidirect
759. #394	C₂²×C₁₃₉	semidirect
760. #394	C₂²×C₁₃₉	semidirect
762. #392	C₂²×C₁₃₉	semidirect
763. #392	C₂²×C₁₃₉	semidirect
764. #391	C₂²×C₁₃₉	semidirect
765. #391	C₂²×C₁₃₉	semidirect
766. #390	C₂²×C₁₃₉	semidirect
767. #390	C₂²×C₁₃₉	semidirect
768. #390	C₂²×C₁₃₉	semidirect
769. #389	C₂²×C₁₃₉	semidirect
770. #389	C₂²×C₁₃₉	semidirect
771. #389	C₂²×C₁₃₉	semidirect
772. #388	C₂²×C₁₃₉	semidirect
773. #388	C₂²×C₁₃₉	semidirect
774. #386	C₂²×C₁₃₉	semidirect
775. #386	C₂²×C₁₃₉	semidirect
776. #386	C₂²×C₁₃₉	semidirect
777. #386	C₂²×C₁₃₉	semidirect
778. #386	C₂²×C₁₃₉	semidirect
779. #386	C₂²×C₁₃₉	semidirect
780. #386	C₂²×C₁₃₉	semidirect
781. #386	C₂²×C₁₃₉	semidirect
782. #385	C₂²×C₁₃₉	semidirect
783. #385	C₂²×C₁₃₉	semidirect
784. #384	C₂²×C₁₃₉	semidirect
785. #381	C₂²×C₁₃₉	semidirect
786. #380	C₂²×C₁₃₉	semidirect
787. #380	C₂²×C₁₃₉	semidirect
788. #380	C₂²×C₁₃₉	semidirect
789. #380	C₂²×C₁₃₉	semidirect
790. #380	C₂²×C₁₃₉	semidirect
791. #379	C₂²×C₁₃₉	semidirect
792. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
793. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
794. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
795. C₂×#95	C₂²×C₁₃₉	semidirect
810. C₂²×D₄	D₄×C₁₃₉	semidirect
866. C₄×D₄	D₄×C₁₃₉	semidirect
1047. C₂²×C₄	C₂×D₄×C₁₃₉	semidirect
1081. C₄⋊C₄	C₂×D₄×C₁₃₉	semidirect
1116. C₂²⋊C₄	C₂×D₄×C₁₃₉	semidirect
1121. C₄²	C₂×D₄×C₁₃₉	semidirect
1194. D₄	#121×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#546×C₁₃₉	2
C₂×D₄²×C₁₃₉	2
C₂×#518×C₁₃₉	2
#2620×C₁₃₉	2
#2617×C₁₃₉	2
#2544×C₁₃₉	2
#2537×C₁₃₉	2
#2534×C₁₃₉	2
#2428×C₁₃₉	2
#2427×C₁₃₉	2
#2425×C₁₃₉	2
#2424×C₁₃₉	2
#2416×C₁₃₉	2
#2415×C₁₃₉	2
#2414×C₁₃₉	2
#2412×C₁₃₉	2
#2410×C₁₃₉	2
#2392×C₁₃₉	2
C₂×#394×C₁₃₉	2
D₄×C₄⋊C₄×C₁₃₉	2
#2339×C₁₃₉	2
D₄×C₂²⋊C₄×C₁₃₉	2
#35761	139

Subgroups — C139×#35761 #48030357

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#35761 #48030357