Subgroups — C₁₃₉×#36183 #48030779

Order 35584.

2600 conjugacy classes of subgroups.

The subgroup lattice has 1144 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#551×C₁₃₉	C₂	1	2	yes	maximal, complemented
2	#2857×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2854×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2847×C₁₃₉	C₂	1	1	yes	maximal, characteristic
5	#2564×C₁₃₉	C₂	1	2	yes	maximal, complemented
6	#2553×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2521×C₁₃₉	C₂	1	2	yes	maximal, complemented
8	#2501×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2498×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2496×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
11	#2496×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
12	#2491×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
13	#2488×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2440×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#2422×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2412×C₁₃₉	C₂	1	2	yes	maximal, complemented
17	#2361×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
18	#2359×C₁₃₉	C₂	1	2	yes	maximal, complemented
19	#2344×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×#121×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2285×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#380×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×C₂²⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic
25	#551×C₁₃₉	—	2	16	no	—
26	C₂×C₄⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
27	C₂×#126×C₁₃₉	C₂²	1	2	yes	—
28	C₂×#126×C₁₃₉	C₂²	1	2	yes	—
29	C₂×#124×C₁₃₉	C₂²	1	2	yes	—
30	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
31	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
32	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
33	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
34	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
35	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
36	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
38	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
39	C₂×#120×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×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
43	C₂×#117×C₁₃₉	C₂²	1	2	yes	—
44	C₂×#117×C₁₃₉	C₂²	1	2	yes	—
45	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
46	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
47	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
48	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
49	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
50	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
51	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
52	#400×C₁₃₉	C₂²	1	2	yes	complemented
53	#400×C₁₃₉	C₂²	1	2	yes	complemented
54	#399×C₁₃₉	C₂²	1	2	yes	complemented
55	#399×C₁₃₉	C₂²	1	2	yes	complemented
56	#398×C₁₃₉	C₂²	1	2	yes	complemented
57	#397×C₁₃₉	C₂²	1	2	yes	—
58	#397×C₁₃₉	C₂²	1	2	yes	—
59	#397×C₁₃₉	C₂²	1	2	yes	complemented
60	#395×C₁₃₉	C₂²	1	2	yes	complemented
61	#394×C₁₃₉	C₂²	1	2	yes	—
62	#394×C₁₃₉	C₂²	1	2	yes	—
63	#393×C₁₃₉	C₂²	1	2	yes	complemented
64	#391×C₁₃₉	C₂²	1	2	yes	complemented
65	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
66	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
67	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
68	#389×C₁₃₉	C₂²	1	2	yes	complemented
69	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
70	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
71	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
72	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
73	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
74	#388×C₁₃₉	C₂²	1	2	yes	complemented
75	#388×C₁₃₉	C₂²	1	2	yes	complemented
76	#388×C₁₃₉	C₂²	1	2	yes	complemented
77	#388×C₁₃₉	C₂²	1	2	yes	complemented
78	#388×C₁₃₉	C₂²	1	2	yes	complemented
79	#387×C₁₃₉	C₂²	1	2	yes	complemented
80	#387×C₁₃₉	C₂²	1	2	yes	complemented
81	#387×C₁₃₉	C₂²	1	2	yes	complemented
82	#387×C₁₃₉	C₂²	1	2	yes	complemented
83	#386×C₁₃₉	C₂²	1	2	yes	—
84	#386×C₁₃₉	C₂²	1	2	yes	—
85	#386×C₁₃₉	C₂²	1	2	yes	—
86	#386×C₁₃₉	C₂²	1	2	yes	—
87	#386×C₁₃₉	C₂²	1	2	yes	—
88	#386×C₁₃₉	C₂²	1	2	yes	—
89	#385×C₁₃₉	C₂²	1	2	yes	—
90	#385×C₁₃₉	C₂²	1	2	yes	complemented
91	#385×C₁₃₉	C₂²	1	2	yes	complemented
92	#384×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
93	#384×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
94	#384×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
95	#382×C₁₃₉	C₂²	1	2	yes	complemented
96	#381×C₁₃₉	C₂²	1	2	yes	—
97	#380×C₁₃₉	C₂²	1	2	yes	—
98	#380×C₁₃₉	C₂²	1	1	yes	characteristic
99	#380×C₁₃₉	C₂²	1	2	yes	—
100	#380×C₁₃₉	C₂²	1	1	yes	characteristic
101	#380×C₁₃₉	C₂²	1	1	yes	characteristic
102	#380×C₁₃₉	C₂²	1	1	yes	characteristic
103	#380×C₁₃₉	C₂²	1	2	yes	—
104	#380×C₁₃₉	C₂²	1	1	yes	characteristic
105	#380×C₁₃₉	C₂²	1	1	yes	characteristic
106	#380×C₁₃₉	C₂²	1	1	yes	characteristic
107	#380×C₁₃₉	C₂²	1	2	yes	—
108	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
109	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
110	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
111	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
112	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
113	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
114	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
115	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
116	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
117	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
118	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
119	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
120	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
121	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic
122	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic
123	C₂×#95×C₁₃₉	C₂²	1	2	yes	—
124	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
125	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
126	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
127	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
128	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
129	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
130	C₂³×C₄×C₁₃₉	—	2	4	no	—
131	C₂³×C₄×C₁₃₉	—	2	4	no	—
132	C₂³×C₄×C₁₃₉	—	4	2	no	—
133	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
134	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
143	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
144	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
145	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
146	C₄⋊Q₈×C₁₃₉	—	4	2	no	—
147	#126×C₁₃₉	—	2	8	no	—
148	#126×C₁₃₉	—	2	8	no	—
149	#124×C₁₃₉	—	2	8	no	—
150	#123×C₁₃₉	—	2	8	no	—
151	#123×C₁₃₉	—	2	8	no	—
152	#123×C₁₃₉	—	2	8	no	—
153	#123×C₁₃₉	—	2	8	no	—
154	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
155	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
156	#121×C₁₃₉	—	2	4	no	—
157	#121×C₁₃₉	—	2	4	no	—
158	#121×C₁₃₉	—	4	2	no	—
159	#120×C₁₃₉	—	2	8	no	—
160	C₄×D₄×C₁₃₉	—	2	8	no	—
161	C₄×D₄×C₁₃₉	—	2	8	no	—
162	C₄×D₄×C₁₃₉	—	4	2	no	—
163	#117×C₁₃₉	—	2	8	no	—
164	#117×C₁₃₉	—	2	8	no	—
165	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
166	C₂×C₄⋊C₄×C₁₃₉	—	4	2	no	—
167	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
168	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
169	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
170	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
171	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
172	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
173	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
174	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
175	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
176	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
177	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
178	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
179	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
180	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
181	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
182	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
183	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
184	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
185	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
186	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
187	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
188	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
189	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
190	C₂×C₂²⋊C₄×C₁₃₉	D₄	1	8	yes	complemented
191	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
192	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
193	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
194	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
195	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
196	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
197	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
198	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
199	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
200	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
201	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
202	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
203	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
204	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
205	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
206	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
207	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
208	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
209	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
210	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
211	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
214	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
215	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₁₃₉	—	2	4	no	—
217	C₂×C₄²×C₁₃₉	—	4	2	no	—
218	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
224	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
225	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
226	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
227	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
228	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
229	#95×C₁₃₉	C₂³	1	1	yes	characteristic
230	#95×C₁₃₉	C₂³	1	2	yes	—
231	#95×C₁₃₉	C₂³	1	2	yes	—
232	#95×C₁₃₉	C₂³	1	2	yes	—
233	#95×C₁₃₉	C₂³	1	2	yes	—
234	#95×C₁₃₉	C₂³	1	2	yes	—
235	#95×C₁₃₉	C₂³	1	2	yes	—
236	#95×C₁₃₉	C₂³	1	2	yes	—
237	#95×C₁₃₉	C₂³	1	1	yes	characteristic
238	#95×C₁₃₉	C₂³	1	2	yes	—
239	#95×C₁₃₉	C₂³	1	2	yes	—
240	#95×C₁₃₉	C₂³	1	1	yes	characteristic
241	#95×C₁₃₉	C₂³	1	1	yes	characteristic
242	#95×C₁₃₉	C₂³	1	2	yes	—
243	#95×C₁₃₉	C₂³	1	2	yes	—
244	#95×C₁₃₉	C₂³	1	1	yes	characteristic
245	#95×C₁₃₉	C₂³	1	1	yes	characteristic
246	#95×C₁₃₉	C₂³	1	1	yes	characteristic
247	#95×C₁₃₉	C₂³	1	1	yes	characteristic
248	#95×C₁₃₉	C₂³	1	2	yes	—
249	#95×C₁₃₉	C₂³	1	2	yes	—
250	#95×C₁₃₉	C₂³	1	2	yes	—
251	#95×C₁₃₉	C₂³	1	2	yes	—
252	C₂⁴×C₁₃₉	—	2	2	no	—
253	C₂⁴×C₁₃₉	—	2	2	no	—
254	C₂⁴×C₁₃₉	—	2	2	no	—
255	C₂⁴×C₁₃₉	—	2	2	no	—
256	C₂⁴×C₁₃₉	—	4	1	no	—
257	C₂⁴×C₁₃₉	—	4	1	no	—
258	C₂⁴×C₁₃₉	C₂×D₄	1	4	yes	—
259	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
260	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
261	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
262	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
263	C₂×Q₈×C₁₃₉	—	2	4	no	—
264	C₂×Q₈×C₁₃₉	—	4	2	no	—
265	C₂×Q₈×C₁₃₉	—	4	2	no	—
266	C₂×D₄×C₁₃₉	—	2	4	no	—
267	C₂×D₄×C₁₃₉	—	2	4	no	—
268	C₂×D₄×C₁₃₉	—	2	4	no	—
269	C₂×D₄×C₁₃₉	—	2	4	no	—
270	C₂×D₄×C₁₃₉	—	2	4	no	—
271	C₂×D₄×C₁₃₉	—	2	4	no	—
272	C₂×D₄×C₁₃₉	—	2	4	no	—
273	C₂×D₄×C₁₃₉	—	2	2	no	—
274	C₂×D₄×C₁₃₉	—	2	2	no	—
275	C₂×D₄×C₁₃₉	—	2	2	no	—
276	C₂×D₄×C₁₃₉	—	4	2	no	—
277	C₂×D₄×C₁₃₉	—	4	2	no	—
278	C₂²×C₄×C₁₃₉	—	2	2	no	—
279	C₂²×C₄×C₁₃₉	—	2	2	no	—
280	C₂²×C₄×C₁₃₉	—	2	2	no	—
281	C₂²×C₄×C₁₃₉	—	2	2	no	—
282	C₂²×C₄×C₁₃₉	—	2	2	no	—
283	C₂²×C₄×C₁₃₉	—	2	2	no	—
284	C₂²×C₄×C₁₃₉	—	2	4	no	—
285	C₂²×C₄×C₁₃₉	—	2	2	no	—
286	C₂²×C₄×C₁₃₉	—	2	4	no	—
287	C₂²×C₄×C₁₃₉	—	2	4	no	—
288	C₂²×C₄×C₁₃₉	—	2	2	no	—
289	C₂²×C₄×C₁₃₉	—	2	2	no	—
290	C₂²×C₄×C₁₃₉	—	2	2	no	—
291	C₂²×C₄×C₁₃₉	—	2	4	no	—
292	C₂²×C₄×C₁₃₉	—	2	2	no	—
293	C₂²×C₄×C₁₃₉	—	2	2	no	—
294	C₂²×C₄×C₁₃₉	—	2	2	no	—
295	C₂²×C₄×C₁₃₉	—	2	2	no	—
296	C₂²×C₄×C₁₃₉	—	2	2	no	—
297	C₂²×C₄×C₁₃₉	—	2	2	no	—
298	C₂²×C₄×C₁₃₉	—	2	2	no	—
299	C₂²×C₄×C₁₃₉	—	2	2	no	—
300	C₂²×C₄×C₁₃₉	—	2	2	no	—
301	C₂²×C₄×C₁₃₉	—	2	4	no	—
302	C₂²×C₄×C₁₃₉	—	4	1	no	—
303	C₂²×C₄×C₁₃₉	—	4	1	no	—
304	C₂²×C₄×C₁₃₉	—	4	1	no	—
305	C₂²×C₄×C₁₃₉	—	4	1	no	—
306	C₂²×C₄×C₁₃₉	—	4	1	no	—
307	C₂²×C₄×C₁₃₉	—	4	1	no	—
308	C₂²×C₄×C₁₃₉	—	4	1	no	—
309	C₂²×C₄×C₁₃₉	—	4	16	no	—
310	C₂²×C₄×C₁₃₉	—	4	2	no	—
311	C₂²×C₄×C₁₃₉	—	4	2	no	—
312	C₂²×C₄×C₁₃₉	—	4	2	no	—
313	C₂²×C₄×C₁₃₉	—	4	2	no	—
314	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
315	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
316	C₂²×C₄×C₁₃₉	#41	1	4	yes	—
317	C₂²×C₄×C₁₃₉	#41	1	4	yes	—
318	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
319	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
320	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
321	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
322	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
323	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
324	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
325	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
326	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
327	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
328	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
329	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
330	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
331	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
332	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
334	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
335	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
336	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
337	C₄⋊C₄×C₁₃₉	—	2	4	no	—
338	C₄⋊C₄×C₁₃₉	—	2	4	no	—
339	C₄⋊C₄×C₁₃₉	—	2	4	no	—
340	C₄⋊C₄×C₁₃₉	—	2	4	no	—
341	C₄⋊C₄×C₁₃₉	—	2	4	no	—
342	C₄⋊C₄×C₁₃₉	—	2	4	no	—
343	C₄⋊C₄×C₁₃₉	—	2	4	no	—
344	C₄⋊C₄×C₁₃₉	—	2	4	no	—
345	C₄⋊C₄×C₁₃₉	—	2	4	no	—
346	C₄⋊C₄×C₁₃₉	—	2	2	no	—
347	C₄⋊C₄×C₁₃₉	—	2	2	no	—
348	C₄⋊C₄×C₁₃₉	—	2	2	no	—
349	C₄⋊C₄×C₁₃₉	—	2	2	no	—
350	C₄⋊C₄×C₁₃₉	—	2	4	no	—
351	C₄⋊C₄×C₁₃₉	—	2	4	no	—
352	C₄⋊C₄×C₁₃₉	—	2	2	no	—
353	C₄⋊C₄×C₁₃₉	—	2	2	no	—
354	C₄⋊C₄×C₁₃₉	—	2	2	no	—
355	C₄⋊C₄×C₁₃₉	—	4	2	no	—
356	C₄⋊C₄×C₁₃₉	—	4	2	no	—
357	C₄⋊C₄×C₁₃₉	—	4	2	no	—
358	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
359	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
360	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
361	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
362	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
363	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
364	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
365	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
366	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
367	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
368	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
369	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
370	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
371	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
372	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
373	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
374	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
375	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
376	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
377	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
378	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
379	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
380	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
381	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
382	C₂²⋊C₄×C₁₃₉	#41	1	4	yes	—
383	C₄²×C₁₃₉	—	2	4	no	—
384	C₄²×C₁₃₉	—	2	4	no	—
385	C₄²×C₁₃₉	—	2	4	no	—
386	C₄²×C₁₃₉	—	2	2	no	—
387	C₄²×C₁₃₉	—	2	2	no	—
388	C₄²×C₁₃₉	—	2	2	no	—
389	C₄²×C₁₃₉	—	2	2	no	—
390	C₄²×C₁₃₉	—	2	2	no	—
391	C₄²×C₁₃₉	—	2	2	no	—
392	C₄²×C₁₃₉	—	4	1	no	—
393	C₄²×C₁₃₉	—	4	1	no	—
394	C₂³×C₁₃₉	—	2	1	no	—
395	C₂³×C₁₃₉	—	2	1	no	—
396	C₂³×C₁₃₉	—	2	1	no	—
397	C₂³×C₁₃₉	—	2	1	no	—
398	C₂³×C₁₃₉	—	2	1	no	—
399	C₂³×C₁₃₉	—	2	1	no	—
400	C₂³×C₁₃₉	—	2	1	no	—
401	C₂³×C₁₃₉	—	2	1	no	—
402	C₂³×C₁₃₉	—	2	8	no	—
403	C₂³×C₁₃₉	—	2	8	no	—
404	C₂³×C₁₃₉	—	2	1	no	—
405	C₂³×C₁₃₉	—	2	1	no	—
406	C₂³×C₁₃₉	—	2	1	no	—
407	C₂³×C₁₃₉	—	2	1	no	—
408	C₂³×C₁₃₉	—	2	1	no	—
409	C₂³×C₁₃₉	—	2	1	no	—
410	C₂³×C₁₃₉	—	2	2	no	—
411	C₂³×C₁₃₉	—	2	2	no	—
412	C₂³×C₁₃₉	—	2	2	no	—
413	C₂³×C₁₃₉	—	2	2	no	—
414	C₂³×C₁₃₉	—	2	2	no	—
415	C₂³×C₁₃₉	—	2	2	no	—
416	C₂³×C₁₃₉	—	2	2	no	—
417	C₂³×C₁₃₉	—	4	4	no	—
418	C₂³×C₁₃₉	—	4	4	no	—
419	C₂³×C₁₃₉	—	4	4	no	—
420	C₂³×C₁₃₉	—	4	4	no	—
421	C₂³×C₁₃₉	—	4	4	no	—
422	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
423	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
424	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
425	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
426	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
427	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
428	C₂³×C₁₃₉	2₋¹⁺⁴	1	2	yes	—
429	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
430	Q₈×C₁₃₉	—	8	4	no	—
431	D₄×C₁₃₉	—	4	8	no	—
432	D₄×C₁₃₉	—	4	8	no	—
433	D₄×C₁₃₉	—	4	4	no	—
434	D₄×C₁₃₉	—	8	4	no	—
435	C₂×C₄×C₁₃₉	—	2	8	no	—
436	C₂×C₄×C₁₃₉	—	2	1	no	—
437	C₂×C₄×C₁₃₉	—	2	1	no	—
438	C₂×C₄×C₁₃₉	—	2	1	no	—
439	C₂×C₄×C₁₃₉	—	2	1	no	—
440	C₂×C₄×C₁₃₉	—	2	1	no	—
441	C₂×C₄×C₁₃₉	—	2	1	no	—
442	C₂×C₄×C₁₃₉	—	2	1	no	—
443	C₂×C₄×C₁₃₉	—	2	1	no	—
444	C₂×C₄×C₁₃₉	—	2	1	no	—
445	C₂×C₄×C₁₃₉	—	2	1	no	—
446	C₂×C₄×C₁₃₉	—	2	1	no	—
447	C₂×C₄×C₁₃₉	—	2	1	no	—
448	C₂×C₄×C₁₃₉	—	2	1	no	—
449	C₂×C₄×C₁₃₉	—	2	1	no	—
450	C₂×C₄×C₁₃₉	—	2	1	no	—
451	C₂×C₄×C₁₃₉	—	2	1	no	—
452	C₂×C₄×C₁₃₉	—	2	8	no	—
453	C₂×C₄×C₁₃₉	—	2	8	no	—
454	C₂×C₄×C₁₃₉	—	2	2	no	—
455	C₂×C₄×C₁₃₉	—	2	2	no	—
456	C₂×C₄×C₁₃₉	—	2	2	no	—
457	C₂×C₄×C₁₃₉	—	2	2	no	—
458	C₂×C₄×C₁₃₉	—	2	2	no	—
459	C₂×C₄×C₁₃₉	—	2	2	no	—
460	C₂×C₄×C₁₃₉	—	2	2	no	—
461	C₂×C₄×C₁₃₉	—	2	1	no	—
462	C₂×C₄×C₁₃₉	—	2	1	no	—
463	C₂×C₄×C₁₃₉	—	2	1	no	—
464	C₂×C₄×C₁₃₉	—	2	2	no	—
465	C₂×C₄×C₁₃₉	—	2	2	no	—
466	C₂×C₄×C₁₃₉	—	2	2	no	—
467	C₂×C₄×C₁₃₉	—	2	2	no	—
468	C₂×C₄×C₁₃₉	—	2	2	no	—
469	C₂×C₄×C₁₃₉	—	2	2	no	—
470	C₂×C₄×C₁₃₉	—	2	2	no	—
471	C₂×C₄×C₁₃₉	—	2	1	no	—
472	C₂×C₄×C₁₃₉	—	2	1	no	—
473	C₂×C₄×C₁₃₉	—	2	1	no	—
474	C₂×C₄×C₁₃₉	—	2	1	no	—
475	C₂×C₄×C₁₃₉	—	2	2	no	—
476	C₂×C₄×C₁₃₉	—	2	2	no	—
477	C₂×C₄×C₁₃₉	—	2	2	no	—
478	C₂×C₄×C₁₃₉	—	2	1	no	—
479	C₂×C₄×C₁₃₉	—	2	2	no	—
480	C₂×C₄×C₁₃₉	—	2	1	no	—
481	C₂×C₄×C₁₃₉	—	2	2	no	—
482	C₂×C₄×C₁₃₉	—	2	2	no	—
483	C₂×C₄×C₁₃₉	—	2	2	no	—
484	C₂×C₄×C₁₃₉	—	4	4	no	—
485	C₂×C₄×C₁₃₉	—	4	4	no	—
486	C₂×C₄×C₁₃₉	—	4	4	no	—
487	C₂×C₄×C₁₃₉	—	4	4	no	—
488	C₂×C₄×C₁₃₉	—	4	4	no	—
489	C₂×C₄×C₁₃₉	—	4	4	no	—
490	C₂×C₄×C₁₃₉	—	4	8	no	—
491	C₂×C₄×C₁₃₉	—	4	4	no	—
492	C₂×C₄×C₁₃₉	—	8	4	no	—
493	C₂×C₄×C₁₃₉	—	8	4	no	—
494	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
495	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
496	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
497	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
498	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
499	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
500	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
501	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
502	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
503	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
504	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
505	C₂²×C₁₃₉	—	2	2	no	—
506	C₂²×C₁₃₉	—	2	2	no	—
507	C₂²×C₁₃₉	—	2	2	no	—
508	C₂²×C₁₃₉	—	2	2	no	—
509	C₂²×C₁₃₉	—	2	2	no	—
510	C₂²×C₁₃₉	—	2	2	no	—
511	C₂²×C₁₃₉	—	2	2	no	—
512	C₂²×C₁₃₉	—	2	2	no	—
513	C₂²×C₁₃₉	—	2	2	no	—
514	C₂²×C₁₃₉	—	2	2	no	—
515	C₂²×C₁₃₉	—	2	2	no	—
516	C₂²×C₁₃₉	—	2	2	no	—
517	C₂²×C₁₃₉	—	2	2	no	—
518	C₂²×C₁₃₉	—	2	2	no	—
519	C₂²×C₁₃₉	—	2	2	no	—
520	C₂²×C₁₃₉	—	4	16	no	—
521	C₂²×C₁₃₉	—	4	1	no	—
522	C₂²×C₁₃₉	—	4	1	no	—
523	C₂²×C₁₃₉	—	4	1	no	—
524	C₂²×C₁₃₉	—	4	1	no	—
525	C₂²×C₁₃₉	—	4	2	no	—
526	C₂²×C₁₃₉	—	4	2	no	—
527	C₂²×C₁₃₉	—	4	2	no	—
528	C₂²×C₁₃₉	—	4	2	no	—
529	C₂²×C₁₃₉	—	4	2	no	—
530	C₂²×C₁₃₉	—	4	2	no	—
531	C₂²×C₁₃₉	—	4	2	no	—
532	C₂²×C₁₃₉	#532	1	4	yes	—
533	C₂²×C₁₃₉	#547	1	4	yes	—
534	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
535	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
536	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
537	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
538	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
539	C₂²×C₁₃₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
540	C₂²×C₁₃₉	#585	1	1	yes	characteristic
541	C₄×C₁₃₉	—	2	2	no	—
542	C₄×C₁₃₉	—	2	2	no	—
543	C₄×C₁₃₉	—	2	2	no	—
544	C₄×C₁₃₉	—	2	2	no	—
545	C₄×C₁₃₉	—	2	2	no	—
546	C₄×C₁₃₉	—	2	2	no	—
547	C₄×C₁₃₉	—	2	2	no	—
548	C₄×C₁₃₉	—	2	2	no	—
549	C₄×C₁₃₉	—	4	2	no	—
550	C₄×C₁₃₉	—	4	2	no	—
551	C₄×C₁₃₉	—	4	2	no	—
552	C₄×C₁₃₉	—	4	2	no	—
553	C₄×C₁₃₉	—	4	1	no	—
554	C₄×C₁₃₉	—	4	1	no	—
555	C₄×C₁₃₉	—	4	2	no	—
556	C₄×C₁₃₉	—	4	2	no	—
557	C₄×C₁₃₉	—	4	2	no	—
558	C₄×C₁₃₉	—	4	1	no	—
559	C₄×C₁₃₉	#551	1	4	yes	complemented
560	C₂×C₁₃₉	—	2	4	no	—
561	C₂×C₁₃₉	—	2	4	no	—
562	C₂×C₁₃₉	—	4	2	no	—
563	C₂×C₁₃₉	—	8	2	no	—
564	C₂×C₁₃₉	C₂×#532	1	1	yes	characteristic
565	C₂×C₁₃₉	C₂×#547	1	1	yes	characteristic
566	C₂×C₁₃₉	C₂×#551	1	1	yes	characteristic
567	C₂×C₁₃₉	#3475	1	1	yes	characteristic
568	C₂×C₁₃₉	#3495	1	1	yes	characteristic
569	C₂×C₁₃₉	#3496	1	1	yes	characteristic
570	C₂×C₁₃₉	#3520	1	1	yes	characteristic
571	#36183	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
572	C₁₃₉	#36183	1	1	yes	characteristic, direct product factor, Sylow
573	C₂×#551	C₂×C₁₃₉	1	2	yes	complemented
574	#2857	C₂×C₁₃₉	1	1	yes	characteristic, complemented
575	#2854	C₂×C₁₃₉	1	1	yes	characteristic, complemented
576	#2847	C₂×C₁₃₉	1	1	yes	characteristic
577	#2564	C₂×C₁₃₉	1	2	yes	complemented
578	#2553	C₂×C₁₃₉	1	2	yes	complemented
579	#2521	C₂×C₁₃₉	1	2	yes	complemented
580	#2501	C₂×C₁₃₉	1	1	yes	characteristic, complemented
581	#2498	C₂×C₁₃₉	1	2	yes	complemented
582	#2496	C₂×C₁₃₉	1	1	yes	characteristic, complemented
583	#2496	C₂×C₁₃₉	1	1	yes	characteristic, complemented
584	#2491	C₂×C₁₃₉	1	1	yes	characteristic, complemented
585	#2488	C₂×C₁₃₉	1	2	yes	complemented
586	#2440	C₂×C₁₃₉	1	1	yes	characteristic, complemented
587	#2422	C₂×C₁₃₉	1	1	yes	characteristic, complemented
588	#2412	C₂×C₁₃₉	1	2	yes	complemented
589	#2361	C₂×C₁₃₉	1	1	yes	characteristic, complemented
590	#2359	C₂×C₁₃₉	1	2	yes	complemented
591	#2344	C₂×C₁₃₉	1	1	yes	characteristic, complemented
592	C₄×#121	C₂×C₁₃₉	1	1	yes	characteristic, complemented
593	#2285	C₂×C₁₃₉	1	1	yes	characteristic, complemented
594	C₂×#380	C₂×C₁₃₉	1	1	yes	characteristic, complemented
595	C₂×C₄×C₂²⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
596	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic
597	#551	—	2	16	no	—
598	C₂×C₄⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
599	C₂×#126	C₂²×C₁₃₉	1	2	yes	—
600	C₂×#126	C₂²×C₁₃₉	1	2	yes	—
601	C₂×#124	C₂²×C₁₃₉	1	2	yes	—
602	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
603	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
604	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
605	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
606	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
607	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
608	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
609	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
610	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
611	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
612	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
613	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
614	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
615	C₂×#117	C₂²×C₁₃₉	1	2	yes	—
616	C₂×#117	C₂²×C₁₃₉	1	2	yes	—
617	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
618	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
619	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
620	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
621	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
622	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
623	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
624	#400	C₂²×C₁₃₉	1	2	yes	complemented
625	#400	C₂²×C₁₃₉	1	2	yes	complemented
626	#399	C₂²×C₁₃₉	1	2	yes	complemented
627	#399	C₂²×C₁₃₉	1	2	yes	complemented
628	#398	C₂²×C₁₃₉	1	2	yes	complemented
629	#397	C₂²×C₁₃₉	1	2	yes	—
630	#397	C₂²×C₁₃₉	1	2	yes	—
631	#397	C₂²×C₁₃₉	1	2	yes	complemented
632	#395	C₂²×C₁₃₉	1	2	yes	complemented
633	#394	C₂²×C₁₃₉	1	2	yes	—
634	#394	C₂²×C₁₃₉	1	2	yes	—
635	#393	C₂²×C₁₃₉	1	2	yes	complemented
636	#391	C₂²×C₁₃₉	1	2	yes	complemented
637	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
638	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
639	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
640	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
641	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
642	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
643	#389	C₂²×C₁₃₉	1	2	yes	complemented
644	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
645	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
646	#388	C₂²×C₁₃₉	1	2	yes	complemented
647	#388	C₂²×C₁₃₉	1	2	yes	complemented
648	#388	C₂²×C₁₃₉	1	2	yes	complemented
649	#388	C₂²×C₁₃₉	1	2	yes	complemented
650	#388	C₂²×C₁₃₉	1	2	yes	complemented
651	#387	C₂²×C₁₃₉	1	2	yes	complemented
652	#387	C₂²×C₁₃₉	1	2	yes	complemented
653	#387	C₂²×C₁₃₉	1	2	yes	complemented
654	#387	C₂²×C₁₃₉	1	2	yes	complemented
655	#386	C₂²×C₁₃₉	1	2	yes	—
656	#386	C₂²×C₁₃₉	1	2	yes	—
657	#386	C₂²×C₁₃₉	1	2	yes	—
658	#386	C₂²×C₁₃₉	1	2	yes	—
659	#386	C₂²×C₁₃₉	1	2	yes	—
660	#386	C₂²×C₁₃₉	1	2	yes	—
661	#385	C₂²×C₁₃₉	1	2	yes	—
662	#385	C₂²×C₁₃₉	1	2	yes	complemented
663	#385	C₂²×C₁₃₉	1	2	yes	complemented
664	#384	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
665	#384	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
666	#384	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
667	#382	C₂²×C₁₃₉	1	2	yes	complemented
668	#381	C₂²×C₁₃₉	1	2	yes	—
669	#380	C₂²×C₁₃₉	1	2	yes	—
670	#380	C₂²×C₁₃₉	1	2	yes	—
671	#380	C₂²×C₁₃₉	1	1	yes	characteristic
672	#380	C₂²×C₁₃₉	1	1	yes	characteristic
673	#380	C₂²×C₁₃₉	1	1	yes	characteristic
674	#380	C₂²×C₁₃₉	1	1	yes	characteristic
675	#380	C₂²×C₁₃₉	1	2	yes	—
676	#380	C₂²×C₁₃₉	1	1	yes	characteristic
677	#380	C₂²×C₁₃₉	1	1	yes	characteristic
678	#380	C₂²×C₁₃₉	1	2	yes	—
679	#380	C₂²×C₁₃₉	1	1	yes	characteristic
680	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
681	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
682	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
683	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
684	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
685	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
686	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
687	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
688	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
689	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
690	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
691	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
692	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
693	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
694	C₂×#95	C₂²×C₁₃₉	1	2	yes	—
695	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
696	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
697	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
698	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
699	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
700	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
701	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
702	C₂³×C₄	—	2	4	no	—
703	C₂³×C₄	—	2	4	no	—
704	C₂³×C₄	—	4	2	no	—
705	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
706	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
707	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
708	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
709	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
710	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
711	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
712	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
713	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
714	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
715	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
716	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
717	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
718	C₄⋊Q₈	—	4	2	no	—
719	#126	—	2	8	no	—
720	#126	—	2	8	no	—
721	#124	—	2	8	no	—
722	#123	—	2	8	no	—
723	#123	—	2	8	no	—
724	#123	—	2	8	no	—
725	#123	—	2	8	no	—
726	C₂²⋊Q₈	—	2	8	no	—
727	C₂²⋊Q₈	—	2	8	no	—
728	#121	—	2	4	no	—
729	#121	—	2	4	no	—
730	#121	—	4	2	no	—
731	#120	—	2	8	no	—
732	C₄×D₄	—	2	8	no	—
733	C₄×D₄	—	2	8	no	—
734	C₄×D₄	—	4	2	no	—
735	#117	—	2	8	no	—
736	#117	—	2	8	no	—
737	C₂×C₄⋊C₄	—	2	4	no	—
738	C₂×C₄⋊C₄	—	4	2	no	—
739	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
740	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
741	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
742	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
743	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
744	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
745	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
746	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
747	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
748	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
749	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
750	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
751	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
752	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
753	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
754	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
755	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
756	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
757	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
758	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
759	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
760	C₂×C₂²⋊C₄	—	2	8	no	—
761	C₂×C₂²⋊C₄	—	2	4	no	—
762	C₂×C₂²⋊C₄	D₄×C₁₃₉	1	8	yes	complemented
763	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
764	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
765	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
766	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
767	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
768	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
769	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
770	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
771	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
772	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
773	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
774	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
775	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
776	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
777	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
778	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
779	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
780	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
781	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
782	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
783	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
784	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
785	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
786	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
787	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
788	C₂×C₄²	—	2	4	no	—
789	C₂×C₄²	—	4	2	no	—
790	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
791	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
792	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
793	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
794	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
795	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
796	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
797	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
798	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
799	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
800	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
801	#95	C₂³×C₁₃₉	1	1	yes	characteristic
802	#95	C₂³×C₁₃₉	1	1	yes	characteristic
803	#95	C₂³×C₁₃₉	1	1	yes	characteristic
804	#95	C₂³×C₁₃₉	1	1	yes	characteristic
805	#95	C₂³×C₁₃₉	1	1	yes	characteristic
806	#95	C₂³×C₁₃₉	1	1	yes	characteristic
807	#95	C₂³×C₁₃₉	1	1	yes	characteristic
808	#95	C₂³×C₁₃₉	1	1	yes	characteristic
809	#95	C₂³×C₁₃₉	1	2	yes	—
810	#95	C₂³×C₁₃₉	1	2	yes	—
811	#95	C₂³×C₁₃₉	1	2	yes	—
812	#95	C₂³×C₁₃₉	1	2	yes	—
813	#95	C₂³×C₁₃₉	1	2	yes	—
814	#95	C₂³×C₁₃₉	1	2	yes	—
815	#95	C₂³×C₁₃₉	1	2	yes	—
816	#95	C₂³×C₁₃₉	1	2	yes	—
817	#95	C₂³×C₁₃₉	1	2	yes	—
818	#95	C₂³×C₁₃₉	1	2	yes	—
819	#95	C₂³×C₁₃₉	1	2	yes	—
820	#95	C₂³×C₁₃₉	1	2	yes	—
821	#95	C₂³×C₁₃₉	1	2	yes	—
822	#95	C₂³×C₁₃₉	1	2	yes	—
823	#95	C₂³×C₁₃₉	1	2	yes	—
824	C₂⁴	—	2	2	no	—
825	C₂⁴	—	2	2	no	—
826	C₂⁴	—	2	2	no	—
827	C₂⁴	—	2	2	no	—
828	C₂⁴	—	4	1	no	—
829	C₂⁴	—	4	1	no	—
830	C₂⁴	C₂×D₄×C₁₃₉	1	4	yes	—
831	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
832	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
833	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
834	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
835	C₂×Q₈	—	2	4	no	—
836	C₂×Q₈	—	4	2	no	—
837	C₂×Q₈	—	4	2	no	—
838	C₂×D₄	—	2	4	no	—
839	C₂×D₄	—	2	4	no	—
840	C₂×D₄	—	2	4	no	—
841	C₂×D₄	—	2	4	no	—
842	C₂×D₄	—	2	4	no	—
843	C₂×D₄	—	2	4	no	—
844	C₂×D₄	—	2	4	no	—
845	C₂×D₄	—	2	2	no	—
846	C₂×D₄	—	2	2	no	—
847	C₂×D₄	—	2	2	no	—
848	C₂×D₄	—	4	2	no	—
849	C₂×D₄	—	4	2	no	—
850	C₂²×C₄	—	2	2	no	—
851	C₂²×C₄	—	2	2	no	—
852	C₂²×C₄	—	2	2	no	—
853	C₂²×C₄	—	2	2	no	—
854	C₂²×C₄	—	2	2	no	—
855	C₂²×C₄	—	2	2	no	—
856	C₂²×C₄	—	2	4	no	—
857	C₂²×C₄	—	2	2	no	—
858	C₂²×C₄	—	2	4	no	—
859	C₂²×C₄	—	2	4	no	—
860	C₂²×C₄	—	2	2	no	—
861	C₂²×C₄	—	2	2	no	—
862	C₂²×C₄	—	2	2	no	—
863	C₂²×C₄	—	2	4	no	—
864	C₂²×C₄	—	2	2	no	—
865	C₂²×C₄	—	2	2	no	—
866	C₂²×C₄	—	2	2	no	—
867	C₂²×C₄	—	2	2	no	—
868	C₂²×C₄	—	2	2	no	—
869	C₂²×C₄	—	2	2	no	—
870	C₂²×C₄	—	2	2	no	—
871	C₂²×C₄	—	2	2	no	—
872	C₂²×C₄	—	2	2	no	—
873	C₂²×C₄	—	2	4	no	—
874	C₂²×C₄	—	4	1	no	—
875	C₂²×C₄	—	4	1	no	—
876	C₂²×C₄	—	4	1	no	—
877	C₂²×C₄	—	4	1	no	—
878	C₂²×C₄	—	4	1	no	—
879	C₂²×C₄	—	4	1	no	—
880	C₂²×C₄	—	4	1	no	—
881	C₂²×C₄	—	4	16	no	—
882	C₂²×C₄	—	4	2	no	—
883	C₂²×C₄	—	4	2	no	—
884	C₂²×C₄	—	4	2	no	—
885	C₂²×C₄	—	4	2	no	—
886	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
887	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
888	C₂²×C₄	#41×C₁₃₉	1	4	yes	—
889	C₂²×C₄	#41×C₁₃₉	1	4	yes	—
890	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
891	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
892	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
893	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
894	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
895	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
896	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
897	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
898	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
899	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
900	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
901	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
902	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
903	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
904	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
905	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
906	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
907	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
908	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
909	C₄⋊C₄	—	2	4	no	—
910	C₄⋊C₄	—	2	4	no	—
911	C₄⋊C₄	—	2	4	no	—
912	C₄⋊C₄	—	2	4	no	—
913	C₄⋊C₄	—	2	4	no	—
914	C₄⋊C₄	—	2	4	no	—
915	C₄⋊C₄	—	2	4	no	—
916	C₄⋊C₄	—	2	4	no	—
917	C₄⋊C₄	—	2	4	no	—
918	C₄⋊C₄	—	2	2	no	—
919	C₄⋊C₄	—	2	2	no	—
920	C₄⋊C₄	—	2	2	no	—
921	C₄⋊C₄	—	2	2	no	—
922	C₄⋊C₄	—	2	4	no	—
923	C₄⋊C₄	—	2	4	no	—
924	C₄⋊C₄	—	2	2	no	—
925	C₄⋊C₄	—	2	2	no	—
926	C₄⋊C₄	—	2	2	no	—
927	C₄⋊C₄	—	4	2	no	—
928	C₄⋊C₄	—	4	2	no	—
929	C₄⋊C₄	—	4	2	no	—
930	C₂²⋊C₄	—	2	4	no	—
931	C₂²⋊C₄	—	2	4	no	—
932	C₂²⋊C₄	—	2	4	no	—
933	C₂²⋊C₄	—	2	4	no	—
934	C₂²⋊C₄	—	2	4	no	—
935	C₂²⋊C₄	—	2	4	no	—
936	C₂²⋊C₄	—	2	4	no	—
937	C₂²⋊C₄	—	2	2	no	—
938	C₂²⋊C₄	—	2	4	no	—
939	C₂²⋊C₄	—	2	4	no	—
940	C₂²⋊C₄	—	2	4	no	—
941	C₂²⋊C₄	—	2	2	no	—
942	C₂²⋊C₄	—	2	2	no	—
943	C₂²⋊C₄	—	2	4	no	—
944	C₂²⋊C₄	—	2	4	no	—
945	C₂²⋊C₄	—	2	4	no	—
946	C₂²⋊C₄	—	2	4	no	—
947	C₂²⋊C₄	—	4	2	no	—
948	C₂²⋊C₄	—	4	2	no	—
949	C₂²⋊C₄	—	4	2	no	—
950	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
951	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
952	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
953	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
954	C₂²⋊C₄	#41×C₁₃₉	1	4	yes	—
955	C₄²	—	2	4	no	—
956	C₄²	—	2	4	no	—
957	C₄²	—	2	4	no	—
958	C₄²	—	2	2	no	—
959	C₄²	—	2	2	no	—
960	C₄²	—	2	2	no	—
961	C₄²	—	2	2	no	—
962	C₄²	—	2	2	no	—
963	C₄²	—	2	2	no	—
964	C₄²	—	4	1	no	—
965	C₄²	—	4	1	no	—
966	C₂³	—	2	1	no	—
967	C₂³	—	2	1	no	—
968	C₂³	—	2	1	no	—
969	C₂³	—	2	1	no	—
970	C₂³	—	2	1	no	—
971	C₂³	—	2	1	no	—
972	C₂³	—	2	1	no	—
973	C₂³	—	2	1	no	—
974	C₂³	—	2	8	no	—
975	C₂³	—	2	8	no	—
976	C₂³	—	2	1	no	—
977	C₂³	—	2	1	no	—
978	C₂³	—	2	1	no	—
979	C₂³	—	2	1	no	—
980	C₂³	—	2	1	no	—
981	C₂³	—	2	1	no	—
982	C₂³	—	2	2	no	—
983	C₂³	—	2	2	no	—
984	C₂³	—	2	2	no	—
985	C₂³	—	2	2	no	—
986	C₂³	—	2	2	no	—
987	C₂³	—	2	2	no	—
988	C₂³	—	2	2	no	—
989	C₂³	—	4	4	no	—
990	C₂³	—	4	4	no	—
991	C₂³	—	4	4	no	—
992	C₂³	—	4	4	no	—
993	C₂³	—	4	4	no	—
994	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
995	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
996	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
997	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
998	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
999	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1000	C₂³	2₋¹⁺⁴×C₁₃₉	1	2	yes	—
1001	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
1002	Q₈	—	8	4	no	—
1003	D₄	—	4	8	no	—
1004	D₄	—	4	8	no	—
1005	D₄	—	4	4	no	—
1006	D₄	—	8	4	no	—
1007	C₂×C₄	—	2	8	no	—
1008	C₂×C₄	—	2	1	no	—
1009	C₂×C₄	—	2	1	no	—
1010	C₂×C₄	—	2	1	no	—
1011	C₂×C₄	—	2	1	no	—
1012	C₂×C₄	—	2	1	no	—
1013	C₂×C₄	—	2	1	no	—
1014	C₂×C₄	—	2	1	no	—
1015	C₂×C₄	—	2	1	no	—
1016	C₂×C₄	—	2	1	no	—
1017	C₂×C₄	—	2	1	no	—
1018	C₂×C₄	—	2	1	no	—
1019	C₂×C₄	—	2	1	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	1	no	—
1022	C₂×C₄	—	2	1	no	—
1023	C₂×C₄	—	2	1	no	—
1024	C₂×C₄	—	2	8	no	—
1025	C₂×C₄	—	2	8	no	—
1026	C₂×C₄	—	2	2	no	—
1027	C₂×C₄	—	2	2	no	—
1028	C₂×C₄	—	2	2	no	—
1029	C₂×C₄	—	2	2	no	—
1030	C₂×C₄	—	2	2	no	—
1031	C₂×C₄	—	2	2	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	2	1	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	2	no	—
1037	C₂×C₄	—	2	2	no	—
1038	C₂×C₄	—	2	2	no	—
1039	C₂×C₄	—	2	2	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	2	2	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	1	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	2	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	4	4	no	—
1057	C₂×C₄	—	4	4	no	—
1058	C₂×C₄	—	4	4	no	—
1059	C₂×C₄	—	4	4	no	—
1060	C₂×C₄	—	4	4	no	—
1061	C₂×C₄	—	4	4	no	—
1062	C₂×C₄	—	4	8	no	—
1063	C₂×C₄	—	4	4	no	—
1064	C₂×C₄	—	8	4	no	—
1065	C₂×C₄	—	8	4	no	—
1066	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1067	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1068	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1069	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1070	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1071	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1072	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1073	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1074	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1075	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1076	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1077	C₂²	—	2	2	no	—
1078	C₂²	—	2	2	no	—
1079	C₂²	—	2	2	no	—
1080	C₂²	—	2	2	no	—
1081	C₂²	—	2	2	no	—
1082	C₂²	—	2	2	no	—
1083	C₂²	—	2	2	no	—
1084	C₂²	—	2	2	no	—
1085	C₂²	—	2	2	no	—
1086	C₂²	—	2	2	no	—
1087	C₂²	—	2	2	no	—
1088	C₂²	—	2	2	no	—
1089	C₂²	—	2	2	no	—
1090	C₂²	—	2	2	no	—
1091	C₂²	—	2	2	no	—
1092	C₂²	—	4	16	no	—
1093	C₂²	—	4	1	no	—
1094	C₂²	—	4	1	no	—
1095	C₂²	—	4	1	no	—
1096	C₂²	—	4	1	no	—
1097	C₂²	—	4	2	no	—
1098	C₂²	—	4	2	no	—
1099	C₂²	—	4	2	no	—
1100	C₂²	—	4	2	no	—
1101	C₂²	—	4	2	no	—
1102	C₂²	—	4	2	no	—
1103	C₂²	—	4	2	no	—
1104	C₂²	#532×C₁₃₉	1	4	yes	—
1105	C₂²	#547×C₁₃₉	1	4	yes	—
1106	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1107	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1108	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1109	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1110	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1111	C₂²	C₂×2₋¹⁺⁴×C₁₃₉	1	1	yes	characteristic
1112	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1113	C₄	—	2	2	no	—
1114	C₄	—	2	2	no	—
1115	C₄	—	2	2	no	—
1116	C₄	—	2	2	no	—
1117	C₄	—	2	2	no	—
1118	C₄	—	2	2	no	—
1119	C₄	—	2	2	no	—
1120	C₄	—	2	2	no	—
1121	C₄	—	4	2	no	—
1122	C₄	—	4	2	no	—
1123	C₄	—	4	2	no	—
1124	C₄	—	4	2	no	—
1125	C₄	—	4	1	no	—
1126	C₄	—	4	1	no	—
1127	C₄	—	4	2	no	—
1128	C₄	—	4	2	no	—
1129	C₄	—	4	2	no	—
1130	C₄	—	4	1	no	—
1131	C₄	#551×C₁₃₉	1	4	yes	complemented
1132	C₂	—	2	4	no	—
1133	C₂	—	2	4	no	—
1134	C₂	—	4	2	no	—
1135	C₂	—	8	2	no	—
1136	C₂	C₂×#532×C₁₃₉	1	1	yes	characteristic
1137	C₂	C₂×#547×C₁₃₉	1	1	yes	characteristic
1138	C₂	C₂×#551×C₁₃₉	1	1	yes	characteristic
1139	C₂	#3475×C₁₃₉	1	1	yes	characteristic
1140	C₂	#3495×C₁₃₉	1	1	yes	characteristic
1141	C₂	#3496×C₁₃₉	1	1	yes	characteristic
1142	C₂	#3520×C₁₃₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
prime radical	#2847×C₁₃₉	C₂
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×#551×C₁₃₉	C₂	semidirect
2. #2857×C₁₃₉	C₂	semidirect
3. #2854×C₁₃₉	C₂	semidirect
5. #2564×C₁₃₉	C₂	semidirect
6. #2553×C₁₃₉	C₂	semidirect
7. #2521×C₁₃₉	C₂	semidirect
8. #2501×C₁₃₉	C₂	semidirect
9. #2498×C₁₃₉	C₂	semidirect
10. #2496×C₁₃₉	C₂	semidirect
11. #2496×C₁₃₉	C₂	semidirect
12. #2491×C₁₃₉	C₂	semidirect
13. #2488×C₁₃₉	C₂	semidirect
14. #2440×C₁₃₉	C₂	semidirect
15. #2422×C₁₃₉	C₂	semidirect
16. #2412×C₁₃₉	C₂	semidirect
17. #2361×C₁₃₉	C₂	semidirect
18. #2359×C₁₃₉	C₂	semidirect
19. #2344×C₁₃₉	C₂	semidirect
20. C₄×#121×C₁₃₉	C₂	semidirect
21. #2285×C₁₃₉	C₂	semidirect
22. C₂×#380×C₁₃₉	C₂	semidirect
23. C₂×C₄×C₂²⋊C₄×C₁₃₉	C₂	semidirect
26. C₂×C₄⋊Q₈×C₁₃₉	C₂²	semidirect
42. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
52. #400×C₁₃₉	C₂²	semidirect
53. #400×C₁₃₉	C₂²	semidirect
54. #399×C₁₃₉	C₂²	semidirect
55. #399×C₁₃₉	C₂²	semidirect
56. #398×C₁₃₉	C₂²	semidirect
59. #397×C₁₃₉	C₂²	semidirect
60. #395×C₁₃₉	C₂²	semidirect
63. #393×C₁₃₉	C₂²	semidirect
64. #391×C₁₃₉	C₂²	semidirect
65. #390×C₁₃₉	C₂²	semidirect
66. #390×C₁₃₉	C₂²	semidirect
67. #390×C₁₃₉	C₂²	semidirect
68. #389×C₁₃₉	C₂²	semidirect
69. #389×C₁₃₉	C₂²	semidirect
70. #389×C₁₃₉	C₂²	semidirect
71. #389×C₁₃₉	C₂²	semidirect
72. #389×C₁₃₉	C₂²	semidirect
73. #389×C₁₃₉	C₂²	semidirect
74. #388×C₁₃₉	C₂²	semidirect
75. #388×C₁₃₉	C₂²	semidirect
76. #388×C₁₃₉	C₂²	semidirect
77. #388×C₁₃₉	C₂²	semidirect
78. #388×C₁₃₉	C₂²	semidirect
79. #387×C₁₃₉	C₂²	semidirect
80. #387×C₁₃₉	C₂²	semidirect
81. #387×C₁₃₉	C₂²	semidirect
82. #387×C₁₃₉	C₂²	semidirect
90. #385×C₁₃₉	C₂²	semidirect
91. #385×C₁₃₉	C₂²	semidirect
92. #384×C₁₃₉	C₂²	semidirect
93. #384×C₁₃₉	C₂²	semidirect
94. #384×C₁₃₉	C₂²	semidirect
95. #382×C₁₃₉	C₂²	semidirect
108. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
109. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
110. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
111. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
120. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
190. C₂×C₂²⋊C₄×C₁₃₉	D₄	semidirect
559. C₄×C₁₃₉	#551	semidirect
571. #36183	C₁₃₉	direct (N × H)
572. C₁₃₉	#36183	direct (N × H)
573. C₂×#551	C₂×C₁₃₉	semidirect
574. #2857	C₂×C₁₃₉	semidirect
575. #2854	C₂×C₁₃₉	semidirect
577. #2564	C₂×C₁₃₉	semidirect
578. #2553	C₂×C₁₃₉	semidirect
579. #2521	C₂×C₁₃₉	semidirect
580. #2501	C₂×C₁₃₉	semidirect
581. #2498	C₂×C₁₃₉	semidirect
582. #2496	C₂×C₁₃₉	semidirect
583. #2496	C₂×C₁₃₉	semidirect
584. #2491	C₂×C₁₃₉	semidirect
585. #2488	C₂×C₁₃₉	semidirect
586. #2440	C₂×C₁₃₉	semidirect
587. #2422	C₂×C₁₃₉	semidirect
588. #2412	C₂×C₁₃₉	semidirect
589. #2361	C₂×C₁₃₉	semidirect
590. #2359	C₂×C₁₃₉	semidirect
591. #2344	C₂×C₁₃₉	semidirect
592. C₄×#121	C₂×C₁₃₉	semidirect
593. #2285	C₂×C₁₃₉	semidirect
594. C₂×#380	C₂×C₁₃₉	semidirect
595. C₂×C₄×C₂²⋊C₄	C₂×C₁₃₉	semidirect
598. C₂×C₄⋊Q₈	C₂²×C₁₃₉	semidirect
614. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
624. #400	C₂²×C₁₃₉	semidirect
625. #400	C₂²×C₁₃₉	semidirect
626. #399	C₂²×C₁₃₉	semidirect
627. #399	C₂²×C₁₃₉	semidirect
628. #398	C₂²×C₁₃₉	semidirect
631. #397	C₂²×C₁₃₉	semidirect
632. #395	C₂²×C₁₃₉	semidirect
635. #393	C₂²×C₁₃₉	semidirect
636. #391	C₂²×C₁₃₉	semidirect
637. #390	C₂²×C₁₃₉	semidirect
638. #390	C₂²×C₁₃₉	semidirect
639. #390	C₂²×C₁₃₉	semidirect
640. #389	C₂²×C₁₃₉	semidirect
641. #389	C₂²×C₁₃₉	semidirect
642. #389	C₂²×C₁₃₉	semidirect
643. #389	C₂²×C₁₃₉	semidirect
644. #389	C₂²×C₁₃₉	semidirect
645. #389	C₂²×C₁₃₉	semidirect
646. #388	C₂²×C₁₃₉	semidirect
647. #388	C₂²×C₁₃₉	semidirect
648. #388	C₂²×C₁₃₉	semidirect
649. #388	C₂²×C₁₃₉	semidirect
650. #388	C₂²×C₁₃₉	semidirect
651. #387	C₂²×C₁₃₉	semidirect
652. #387	C₂²×C₁₃₉	semidirect
653. #387	C₂²×C₁₃₉	semidirect
654. #387	C₂²×C₁₃₉	semidirect
662. #385	C₂²×C₁₃₉	semidirect
663. #385	C₂²×C₁₃₉	semidirect
664. #384	C₂²×C₁₃₉	semidirect
665. #384	C₂²×C₁₃₉	semidirect
666. #384	C₂²×C₁₃₉	semidirect
667. #382	C₂²×C₁₃₉	semidirect
680. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
681. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
682. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
683. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
692. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
762. C₂×C₂²⋊C₄	D₄×C₁₃₉	semidirect
1131. C₄	#551×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#551×C₁₃₉	2
#2857×C₁₃₉	2
#2854×C₁₃₉	2
#2847×C₁₃₉	2
#2564×C₁₃₉	2
#2553×C₁₃₉	2
#2521×C₁₃₉	2
#2501×C₁₃₉	2
#2498×C₁₃₉	2
#2496×C₁₃₉	2
#2491×C₁₃₉	2
#2488×C₁₃₉	2
#2440×C₁₃₉	2
#2422×C₁₃₉	2
#2412×C₁₃₉	2
#2361×C₁₃₉	2
#2359×C₁₃₉	2
#2344×C₁₃₉	2
C₄×#121×C₁₃₉	2
#2285×C₁₃₉	2
C₂×#380×C₁₃₉	2
C₂×C₄×C₂²⋊C₄×C₁₃₉	2
#36183	139

Subgroups — C139×#36183 #48030779

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36183 #48030779