Subgroups — C₁₃₉×#35768 #48030364

Order 35584.

2608 conjugacy classes of subgroups.

The subgroup lattice has 1180 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#553×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#547×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2661×C₁₃₉	C₂	1	2	yes	maximal, complemented
4	#2619×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2602×C₁₃₉	C₂	1	2	yes	maximal, complemented
6	#2560×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2554×C₁₃₉	C₂	1	2	yes	maximal, complemented
8	#2550×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2541×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
10	#2491×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
11	#2490×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
12	#2461×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2445×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2431×C₁₃₉	C₂	1	2	yes	maximal, complemented
15	#2414×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2414×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2392×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
18	#2388×C₁₃₉	C₂	1	2	yes	maximal, complemented
19	#2366×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	#2363×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2361×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	#2352×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
23	#2274×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#41×C₁₃₉	C₂²	1	2	yes	—
25	#553×C₁₃₉	—	2	8	no	—
26	#547×C₁₃₉	—	2	8	no	—
27	C₂×C₄⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
28	C₂×#127×C₁₃₉	C₂²	1	1	yes	characteristic
29	C₂×#127×C₁₃₉	C₂²	1	2	yes	—
30	C₂×#126×C₁₃₉	C₂²	1	2	yes	—
31	C₂×#125×C₁₃₉	C₂²	1	1	yes	characteristic
32	C₂×#124×C₁₃₉	C₂²	1	2	yes	—
33	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
34	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
35	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
36	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
37	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
38	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
39	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
40	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
41	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
42	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
43	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
44	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
46	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
50	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
51	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
52	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
53	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
54	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
55	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
56	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
57	#398×C₁₃₉	C₂²	1	2	yes	—
58	#398×C₁₃₉	C₂²	1	1	yes	characteristic
59	#397×C₁₃₉	C₂²	1	2	yes	—
60	#397×C₁₃₉	C₂²	1	1	yes	characteristic
61	#396×C₁₃₉	C₂²	1	1	yes	characteristic
62	#396×C₁₃₉	C₂²	1	1	yes	characteristic
63	#395×C₁₃₉	C₂²	1	2	yes	—
64	#394×C₁₃₉	C₂²	1	2	yes	—
65	#394×C₁₃₉	C₂²	1	2	yes	—
66	#394×C₁₃₉	C₂²	1	2	yes	—
67	#394×C₁₃₉	C₂²	1	2	yes	—
68	#394×C₁₃₉	C₂²	1	1	yes	characteristic
69	#394×C₁₃₉	C₂²	1	2	yes	—
70	#394×C₁₃₉	C₂²	1	1	yes	characteristic
71	#394×C₁₃₉	C₂²	1	1	yes	characteristic
72	#394×C₁₃₉	C₂²	1	2	yes	—
73	#393×C₁₃₉	C₂²	1	2	yes	—
74	#392×C₁₃₉	C₂²	1	2	yes	—
75	#392×C₁₃₉	C₂²	1	2	yes	—
76	#392×C₁₃₉	C₂²	1	2	yes	—
77	#392×C₁₃₉	C₂²	1	2	yes	—
78	#392×C₁₃₉	C₂²	1	2	yes	—
79	#392×C₁₃₉	C₂²	1	1	yes	characteristic
80	#392×C₁₃₉	C₂²	1	2	yes	—
81	#391×C₁₃₉	C₂²	1	2	yes	—
82	#390×C₁₃₉	C₂²	1	2	yes	—
83	#390×C₁₃₉	C₂²	1	2	yes	—
84	#390×C₁₃₉	C₂²	1	2	yes	—
85	#390×C₁₃₉	C₂²	1	2	yes	—
86	#390×C₁₃₉	C₂²	1	1	yes	characteristic
87	#390×C₁₃₉	C₂²	1	1	yes	characteristic
88	#390×C₁₃₉	C₂²	1	2	yes	—
89	#390×C₁₃₉	C₂²	1	1	yes	characteristic
90	#390×C₁₃₉	C₂²	1	1	yes	characteristic
91	#390×C₁₃₉	C₂²	1	2	yes	—
92	#389×C₁₃₉	C₂²	1	2	yes	—
93	#389×C₁₃₉	C₂²	1	1	yes	characteristic
94	#389×C₁₃₉	C₂²	1	1	yes	characteristic
95	#388×C₁₃₉	C₂²	1	2	yes	—
96	#388×C₁₃₉	C₂²	1	2	yes	—
97	#388×C₁₃₉	C₂²	1	2	yes	—
98	#388×C₁₃₉	C₂²	1	2	yes	—
99	#388×C₁₃₉	C₂²	1	2	yes	—
100	#388×C₁₃₉	C₂²	1	2	yes	—
101	#388×C₁₃₉	C₂²	1	2	yes	—
102	#387×C₁₃₉	C₂²	1	2	yes	—
103	#386×C₁₃₉	C₂²	1	2	yes	—
104	#386×C₁₃₉	C₂²	1	2	yes	—
105	#386×C₁₃₉	C₂²	1	2	yes	—
106	#386×C₁₃₉	C₂²	1	2	yes	—
107	#386×C₁₃₉	C₂²	1	2	yes	—
108	#385×C₁₃₉	C₂²	1	2	yes	—
109	#382×C₁₃₉	C₂²	1	1	yes	characteristic
110	#380×C₁₃₉	C₂²	1	1	yes	characteristic
111	#380×C₁₃₉	C₂²	1	1	yes	characteristic
112	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
113	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
114	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	—
115	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
116	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
117	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
118	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
119	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
120	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
121	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
122	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
123	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
124	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
125	C₂×#41×C₁₃₉	—	2	8	no	—
126	C₂×#41×C₁₃₉	—	4	4	no	—
127	C₂×#41×C₁₃₉	—	4	4	no	—
128	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
129	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
130	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
131	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
132	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
133	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
134	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
135	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
136	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
137	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
138	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
139	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
140	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
141	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
142	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
143	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
144	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
145	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
146	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
147	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
148	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
149	C₄⋊Q₈×C₁₃₉	—	2	4	no	—
150	#127×C₁₃₉	—	2	4	no	—
151	#127×C₁₃₉	—	4	4	no	—
152	#126×C₁₃₉	—	2	8	no	—
153	#125×C₁₃₉	—	2	4	no	—
154	#124×C₁₃₉	—	4	4	no	—
155	#123×C₁₃₉	—	2	8	no	—
156	#123×C₁₃₉	—	2	8	no	—
157	#123×C₁₃₉	—	2	8	no	—
158	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
159	#121×C₁₃₉	—	2	4	no	—
160	#121×C₁₃₉	—	2	8	no	—
161	#121×C₁₃₉	—	2	4	no	—
162	#121×C₁₃₉	—	2	4	no	—
163	#121×C₁₃₉	—	2	4	no	—
164	#121×C₁₃₉	—	2	4	no	—
165	#121×C₁₃₉	—	2	4	no	—
166	C₄×D₄×C₁₃₉	—	2	4	no	—
167	C₄×D₄×C₁₃₉	—	2	8	no	—
168	C₄×D₄×C₁₃₉	—	2	4	no	—
169	C₄×D₄×C₁₃₉	—	2	4	no	—
170	C₄×D₄×C₁₃₉	—	2	4	no	—
171	C₄×D₄×C₁₃₉	—	2	4	no	—
172	C₄×D₄×C₁₃₉	—	4	4	no	—
173	C₄×D₄×C₁₃₉	—	4	4	no	—
174	#117×C₁₃₉	—	2	4	no	—
175	#117×C₁₃₉	—	2	4	no	—
176	#117×C₁₃₉	—	2	4	no	—
177	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
178	C₂×C₄⋊C₄×C₁₃₉	D₄	1	8	yes	complemented
179	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
180	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
181	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
187	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
188	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
189	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
190	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
191	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
192	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
193	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
194	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
195	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
196	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
197	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
198	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
199	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
200	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
201	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
202	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
203	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
204	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
205	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
206	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	2	yes	—
213	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
214	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
215	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
216	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
217	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
218	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
219	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
220	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
222	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
223	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
224	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
225	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
226	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
227	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
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	2	yes	—
231	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
232	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
233	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
234	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
235	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
236	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
237	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
238	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
239	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
240	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
241	#95×C₁₃₉	C₂³	1	2	yes	—
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	2	yes	—
248	#95×C₁₃₉	C₂³	1	1	yes	characteristic
249	#95×C₁₃₉	C₂³	1	2	yes	—
250	#95×C₁₃₉	C₂³	1	1	yes	characteristic
251	#95×C₁₃₉	C₂³	1	1	yes	characteristic
252	#95×C₁₃₉	C₂³	1	2	yes	—
253	#95×C₁₃₉	C₂³	1	2	yes	—
254	#95×C₁₃₉	C₂³	1	2	yes	—
255	#95×C₁₃₉	C₂³	1	2	yes	—
256	#95×C₁₃₉	C₂³	1	2	yes	—
257	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
258	C₂⁴×C₁₃₉	C₂⁴	1	2	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	#41×C₁₃₉	—	4	32	no	—
263	C₂×Q₈×C₁₃₉	—	2	4	no	—
264	C₂×Q₈×C₁₃₉	—	2	4	no	—
265	C₂×Q₈×C₁₃₉	—	4	2	no	—
266	C₂×D₄×C₁₃₉	—	2	2	no	—
267	C₂×D₄×C₁₃₉	—	2	2	no	—
268	C₂×D₄×C₁₃₉	—	2	4	no	—
269	C₂×D₄×C₁₃₉	—	2	2	no	—
270	C₂×D₄×C₁₃₉	—	2	4	no	—
271	C₂×D₄×C₁₃₉	—	2	4	no	—
272	C₂×D₄×C₁₃₉	—	2	2	no	—
273	C₂×D₄×C₁₃₉	—	2	4	no	—
274	C₂×D₄×C₁₃₉	—	2	2	no	—
275	C₂×D₄×C₁₃₉	—	2	2	no	—
276	C₂×D₄×C₁₃₉	—	2	4	no	—
277	C₂×D₄×C₁₃₉	—	2	4	no	—
278	C₂×D₄×C₁₃₉	—	2	2	no	—
279	C₂×D₄×C₁₃₉	—	2	4	no	—
280	C₂×D₄×C₁₃₉	—	2	2	no	—
281	C₂×D₄×C₁₃₉	—	2	2	no	—
282	C₂×D₄×C₁₃₉	—	2	4	no	—
283	C₂×D₄×C₁₃₉	—	2	2	no	—
284	C₂×D₄×C₁₃₉	—	2	2	no	—
285	C₂×D₄×C₁₃₉	—	2	4	no	—
286	C₂×D₄×C₁₃₉	—	2	4	no	—
287	C₂×D₄×C₁₃₉	—	2	2	no	—
288	C₂×D₄×C₁₃₉	—	4	2	no	—
289	C₂×D₄×C₁₃₉	—	4	2	no	—
290	C₂×D₄×C₁₃₉	—	4	2	no	—
291	C₂×D₄×C₁₃₉	—	4	1	no	—
292	C₂×D₄×C₁₃₉	—	4	1	no	—
293	C₂×D₄×C₁₃₉	—	4	2	no	—
294	C₂×D₄×C₁₃₉	—	4	2	no	—
295	C₂×D₄×C₁₃₉	—	4	1	no	—
296	C₂×D₄×C₁₃₉	—	4	2	no	—
297	C₂×D₄×C₁₃₉	—	4	2	no	—
298	C₂×D₄×C₁₃₉	—	4	2	no	—
299	C₂×D₄×C₁₃₉	—	4	2	no	—
300	C₂×D₄×C₁₃₉	—	4	2	no	—
301	C₂×D₄×C₁₃₉	—	4	2	no	—
302	C₂×D₄×C₁₃₉	—	4	2	no	—
303	C₂×D₄×C₁₃₉	—	4	2	no	—
304	C₂×D₄×C₁₃₉	—	4	2	no	—
305	C₂²×C₄×C₁₃₉	—	2	2	no	—
306	C₂²×C₄×C₁₃₉	—	2	2	no	—
307	C₂²×C₄×C₁₃₉	—	2	4	no	—
308	C₂²×C₄×C₁₃₉	—	2	2	no	—
309	C₂²×C₄×C₁₃₉	—	2	4	no	—
310	C₂²×C₄×C₁₃₉	—	2	2	no	—
311	C₂²×C₄×C₁₃₉	—	2	4	no	—
312	C₂²×C₄×C₁₃₉	—	2	2	no	—
313	C₂²×C₄×C₁₃₉	—	2	2	no	—
314	C₂²×C₄×C₁₃₉	—	2	2	no	—
315	C₂²×C₄×C₁₃₉	—	2	2	no	—
316	C₂²×C₄×C₁₃₉	—	2	4	no	—
317	C₂²×C₄×C₁₃₉	—	2	4	no	—
318	C₂²×C₄×C₁₃₉	—	4	2	no	—
319	C₂²×C₄×C₁₃₉	—	4	2	no	—
320	C₂²×C₄×C₁₃₉	—	4	2	no	—
321	C₂²×C₄×C₁₃₉	—	4	2	no	—
322	C₂²×C₄×C₁₃₉	—	4	2	no	—
323	C₂²×C₄×C₁₃₉	—	4	2	no	—
324	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
325	C₂²×C₄×C₁₃₉	C₂×D₄	1	8	yes	—
326	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
327	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
328	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
329	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
330	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
331	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
332	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
333	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
334	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
335	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
336	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
337	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
338	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
339	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
340	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
341	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
342	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
343	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
344	C₄⋊C₄×C₁₃₉	—	2	2	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	4	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	—	2	2	no	—
356	C₄⋊C₄×C₁₃₉	—	2	2	no	—
357	C₄⋊C₄×C₁₃₉	—	4	1	no	—
358	C₄⋊C₄×C₁₃₉	—	4	2	no	—
359	C₄⋊C₄×C₁₃₉	—	4	2	no	—
360	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
361	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
362	C₄⋊C₄×C₁₃₉	C₂×D₄	1	8	yes	—
363	C₄⋊C₄×C₁₃₉	#41	1	4	yes	complemented
364	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
365	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
366	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
367	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
368	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
369	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
370	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
371	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
372	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
373	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
374	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
375	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
376	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
377	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
378	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
379	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
380	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
381	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
382	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
383	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
384	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
385	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
386	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
387	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
388	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
389	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
390	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
391	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
392	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
393	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
394	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
395	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
396	C₄²×C₁₃₉	—	2	4	no	—
397	C₄²×C₁₃₉	—	2	2	no	—
398	C₄²×C₁₃₉	—	2	2	no	—
399	C₄²×C₁₃₉	—	2	4	no	—
400	C₄²×C₁₃₉	—	2	2	no	—
401	C₄²×C₁₃₉	—	4	2	no	—
402	C₄²×C₁₃₉	—	4	2	no	—
403	C₄²×C₁₃₉	—	4	2	no	—
404	C₄²×C₁₃₉	—	4	2	no	—
405	C₄²×C₁₃₉	#41	1	4	yes	complemented
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	1	no	—
411	C₂³×C₁₃₉	—	2	1	no	—
412	C₂³×C₁₃₉	—	2	1	no	—
413	C₂³×C₁₃₉	—	2	1	no	—
414	C₂³×C₁₃₉	—	2	1	no	—
415	C₂³×C₁₃₉	—	2	1	no	—
416	C₂³×C₁₃₉	—	2	1	no	—
417	C₂³×C₁₃₉	—	2	1	no	—
418	C₂³×C₁₃₉	—	2	1	no	—
419	C₂³×C₁₃₉	—	2	2	no	—
420	C₂³×C₁₃₉	—	2	2	no	—
421	C₂³×C₁₃₉	—	2	1	no	—
422	C₂³×C₁₃₉	—	2	2	no	—
423	C₂³×C₁₃₉	—	2	2	no	—
424	C₂³×C₁₃₉	—	2	1	no	—
425	C₂³×C₁₃₉	—	2	2	no	—
426	C₂³×C₁₃₉	—	2	2	no	—
427	C₂³×C₁₃₉	—	2	1	no	—
428	C₂³×C₁₃₉	—	2	2	no	—
429	C₂³×C₁₃₉	—	2	2	no	—
430	C₂³×C₁₃₉	—	2	2	no	—
431	C₂³×C₁₃₉	—	2	2	no	—
432	C₂³×C₁₃₉	—	2	1	no	—
433	C₂³×C₁₃₉	—	2	2	no	—
434	C₂³×C₁₃₉	—	2	1	no	—
435	C₂³×C₁₃₉	—	2	2	no	—
436	C₂³×C₁₃₉	—	2	2	no	—
437	C₂³×C₁₃₉	—	2	2	no	—
438	C₂³×C₁₃₉	—	2	1	no	—
439	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
440	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
441	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
442	Q₈×C₁₃₉	—	4	8	no	—
443	D₄×C₁₃₉	—	2	8	no	—
444	D₄×C₁₃₉	—	4	4	no	—
445	D₄×C₁₃₉	—	4	8	no	—
446	D₄×C₁₃₉	—	4	8	no	—
447	D₄×C₁₃₉	—	4	8	no	—
448	D₄×C₁₃₉	—	4	8	no	—
449	D₄×C₁₃₉	—	4	4	no	—
450	D₄×C₁₃₉	—	4	8	no	—
451	D₄×C₁₃₉	—	4	4	no	—
452	D₄×C₁₃₉	—	4	4	no	—
453	D₄×C₁₃₉	—	8	4	no	—
454	D₄×C₁₃₉	—	8	4	no	—
455	D₄×C₁₃₉	—	8	4	no	—
456	C₂×C₄×C₁₃₉	—	2	1	no	—
457	C₂×C₄×C₁₃₉	—	2	1	no	—
458	C₂×C₄×C₁₃₉	—	2	1	no	—
459	C₂×C₄×C₁₃₉	—	2	1	no	—
460	C₂×C₄×C₁₃₉	—	2	2	no	—
461	C₂×C₄×C₁₃₉	—	2	1	no	—
462	C₂×C₄×C₁₃₉	—	2	2	no	—
463	C₂×C₄×C₁₃₉	—	2	2	no	—
464	C₂×C₄×C₁₃₉	—	2	2	no	—
465	C₂×C₄×C₁₃₉	—	2	2	no	—
466	C₂×C₄×C₁₃₉	—	2	1	no	—
467	C₂×C₄×C₁₃₉	—	2	1	no	—
468	C₂×C₄×C₁₃₉	—	2	2	no	—
469	C₂×C₄×C₁₃₉	—	2	1	no	—
470	C₂×C₄×C₁₃₉	—	2	8	no	—
471	C₂×C₄×C₁₃₉	—	2	1	no	—
472	C₂×C₄×C₁₃₉	—	2	1	no	—
473	C₂×C₄×C₁₃₉	—	2	2	no	—
474	C₂×C₄×C₁₃₉	—	2	1	no	—
475	C₂×C₄×C₁₃₉	—	2	1	no	—
476	C₂×C₄×C₁₃₉	—	2	1	no	—
477	C₂×C₄×C₁₃₉	—	2	2	no	—
478	C₂×C₄×C₁₃₉	—	2	1	no	—
479	C₂×C₄×C₁₃₉	—	2	1	no	—
480	C₂×C₄×C₁₃₉	—	2	2	no	—
481	C₂×C₄×C₁₃₉	—	2	1	no	—
482	C₂×C₄×C₁₃₉	—	2	1	no	—
483	C₂×C₄×C₁₃₉	—	2	1	no	—
484	C₂×C₄×C₁₃₉	—	2	1	no	—
485	C₂×C₄×C₁₃₉	—	2	1	no	—
486	C₂×C₄×C₁₃₉	—	2	1	no	—
487	C₂×C₄×C₁₃₉	—	2	2	no	—
488	C₂×C₄×C₁₃₉	—	2	1	no	—
489	C₂×C₄×C₁₃₉	—	2	1	no	—
490	C₂×C₄×C₁₃₉	—	2	2	no	—
491	C₂×C₄×C₁₃₉	—	2	2	no	—
492	C₂×C₄×C₁₃₉	—	2	1	no	—
493	C₂×C₄×C₁₃₉	—	2	1	no	—
494	C₂×C₄×C₁₃₉	—	2	1	no	—
495	C₂×C₄×C₁₃₉	—	2	2	no	—
496	C₂×C₄×C₁₃₉	—	2	2	no	—
497	C₂×C₄×C₁₃₉	—	2	1	no	—
498	C₂×C₄×C₁₃₉	—	2	1	no	—
499	C₂×C₄×C₁₃₉	—	2	2	no	—
500	C₂×C₄×C₁₃₉	—	2	1	no	—
501	C₂×C₄×C₁₃₉	—	4	8	no	—
502	C₂×C₄×C₁₃₉	—	4	8	no	—
503	C₂×C₄×C₁₃₉	—	4	8	no	—
504	C₂×C₄×C₁₃₉	—	4	4	no	—
505	C₂×C₄×C₁₃₉	—	4	4	no	—
506	C₂×C₄×C₁₃₉	—	8	4	no	—
507	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
508	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
509	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
510	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
511	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
512	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
513	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
514	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
515	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
516	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
517	C₂²×C₁₃₉	—	2	2	no	—
518	C₂²×C₁₃₉	—	2	2	no	—
519	C₂²×C₁₃₉	—	2	2	no	—
520	C₂²×C₁₃₉	—	2	2	no	—
521	C₂²×C₁₃₉	—	2	2	no	—
522	C₂²×C₁₃₉	—	2	2	no	—
523	C₂²×C₁₃₉	—	4	1	no	—
524	C₂²×C₁₃₉	—	4	1	no	—
525	C₂²×C₁₃₉	—	4	1	no	—
526	C₂²×C₁₃₉	—	4	1	no	—
527	C₂²×C₁₃₉	—	4	1	no	—
528	C₂²×C₁₃₉	—	4	1	no	—
529	C₂²×C₁₃₉	—	4	1	no	—
530	C₂²×C₁₃₉	—	4	1	no	—
531	C₂²×C₁₃₉	—	4	1	no	—
532	C₂²×C₁₃₉	—	4	2	no	—
533	C₂²×C₁₃₉	—	4	2	no	—
534	C₂²×C₁₃₉	—	4	2	no	—
535	C₂²×C₁₃₉	—	4	2	no	—
536	C₂²×C₁₃₉	—	4	1	no	—
537	C₂²×C₁₃₉	—	4	1	no	—
538	C₂²×C₁₃₉	—	4	2	no	—
539	C₂²×C₁₃₉	—	4	2	no	—
540	C₂²×C₁₃₉	—	4	1	no	—
541	C₂²×C₁₃₉	—	4	2	no	—
542	C₂²×C₁₃₉	—	4	2	no	—
543	C₂²×C₁₃₉	—	4	2	no	—
544	C₂²×C₁₃₉	—	4	2	no	—
545	C₂²×C₁₃₉	—	4	1	no	—
546	C₂²×C₁₃₉	—	4	2	no	—
547	C₂²×C₁₃₉	—	4	1	no	—
548	C₂²×C₁₃₉	—	4	2	no	—
549	C₂²×C₁₃₉	—	4	2	no	—
550	C₂²×C₁₃₉	—	4	2	no	—
551	C₂²×C₁₃₉	—	4	1	no	—
552	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
553	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
554	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
555	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
556	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
557	C₂²×C₁₃₉	#585	1	1	yes	characteristic
558	C₂²×C₁₃₉	#585	1	1	yes	characteristic
559	C₄×C₁₃₉	—	2	2	no	—
560	C₄×C₁₃₉	—	2	4	no	—
561	C₄×C₁₃₉	—	2	2	no	—
562	C₄×C₁₃₉	—	2	4	no	—
563	C₄×C₁₃₉	—	2	2	no	—
564	C₄×C₁₃₉	—	2	2	no	—
565	C₄×C₁₃₉	—	2	4	no	—
566	C₄×C₁₃₉	—	4	1	no	—
567	C₄×C₁₃₉	—	4	1	no	—
568	C₄×C₁₃₉	—	4	2	no	—
569	C₄×C₁₃₉	—	4	1	no	—
570	C₄×C₁₃₉	—	4	1	no	—
571	C₄×C₁₃₉	—	4	2	no	—
572	C₄×C₁₃₉	—	4	1	no	—
573	C₄×C₁₃₉	—	4	1	no	—
574	C₄×C₁₃₉	—	4	1	no	—
575	C₄×C₁₃₉	—	4	2	no	—
576	C₄×C₁₃₉	#532	1	4	yes	—
577	C₂×C₁₃₉	—	4	2	no	—
578	C₂×C₁₃₉	—	4	2	no	—
579	C₂×C₁₃₉	—	8	1	no	—
580	C₂×C₁₃₉	—	8	2	no	—
581	C₂×C₁₃₉	—	8	2	no	—
582	C₂×C₁₃₉	C₂×#532	1	1	yes	characteristic
583	C₂×C₁₃₉	#3484	1	1	yes	characteristic
584	C₂×C₁₃₉	#3487	1	1	yes	characteristic
585	C₂×C₁₃₉	#3494	1	1	yes	characteristic
586	C₂×C₁₃₉	#3506	1	1	yes	characteristic
587	C₂×C₁₃₉	#3513	1	1	yes	characteristic
588	C₂×C₁₃₉	#3517	1	1	yes	characteristic
589	#35768	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
590	C₁₃₉	#35768	1	1	yes	characteristic, direct product factor, Sylow
591	C₂×#553	C₂×C₁₃₉	1	1	yes	characteristic, complemented
592	C₂×#547	C₂×C₁₃₉	1	1	yes	characteristic, complemented
593	#2661	C₂×C₁₃₉	1	2	yes	complemented
594	#2619	C₂×C₁₃₉	1	1	yes	characteristic, complemented
595	#2602	C₂×C₁₃₉	1	2	yes	complemented
596	#2560	C₂×C₁₃₉	1	2	yes	complemented
597	#2554	C₂×C₁₃₉	1	2	yes	complemented
598	#2550	C₂×C₁₃₉	1	1	yes	characteristic, complemented
599	#2541	C₂×C₁₃₉	1	1	yes	characteristic, complemented
600	#2491	C₂×C₁₃₉	1	1	yes	characteristic, complemented
601	#2490	C₂×C₁₃₉	1	1	yes	characteristic, complemented
602	#2461	C₂×C₁₃₉	1	2	yes	complemented
603	#2445	C₂×C₁₃₉	1	2	yes	complemented
604	#2431	C₂×C₁₃₉	1	2	yes	complemented
605	#2414	C₂×C₁₃₉	1	1	yes	characteristic, complemented
606	#2414	C₂×C₁₃₉	1	1	yes	characteristic, complemented
607	#2392	C₂×C₁₃₉	1	1	yes	characteristic, complemented
608	#2388	C₂×C₁₃₉	1	2	yes	complemented
609	#2366	C₂×C₁₃₉	1	1	yes	characteristic, complemented
610	#2363	C₂×C₁₃₉	1	1	yes	characteristic, complemented
611	#2361	C₂×C₁₃₉	1	1	yes	characteristic, complemented
612	#2352	C₂×C₁₃₉	1	1	yes	characteristic, complemented
613	#2274	C₂×C₁₃₉	1	1	yes	characteristic, complemented
614	C₂²×#41	C₂²×C₁₃₉	1	2	yes	—
615	#553	—	2	8	no	—
616	#547	—	2	8	no	—
617	C₂×C₄⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
618	C₂×#127	C₂²×C₁₃₉	1	1	yes	characteristic
619	C₂×#127	C₂²×C₁₃₉	1	2	yes	—
620	C₂×#126	C₂²×C₁₃₉	1	2	yes	—
621	C₂×#125	C₂²×C₁₃₉	1	1	yes	characteristic
622	C₂×#124	C₂²×C₁₃₉	1	2	yes	—
623	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
624	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
625	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
626	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
627	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
628	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
629	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
630	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
631	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
632	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
633	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
634	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
635	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
636	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
637	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
638	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
639	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
640	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
641	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
642	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
643	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
644	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
645	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
646	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
647	#398	C₂²×C₁₃₉	1	1	yes	characteristic
648	#398	C₂²×C₁₃₉	1	2	yes	—
649	#397	C₂²×C₁₃₉	1	2	yes	—
650	#397	C₂²×C₁₃₉	1	1	yes	characteristic
651	#396	C₂²×C₁₃₉	1	1	yes	characteristic
652	#396	C₂²×C₁₃₉	1	1	yes	characteristic
653	#395	C₂²×C₁₃₉	1	2	yes	—
654	#394	C₂²×C₁₃₉	1	2	yes	—
655	#394	C₂²×C₁₃₉	1	2	yes	—
656	#394	C₂²×C₁₃₉	1	2	yes	—
657	#394	C₂²×C₁₃₉	1	2	yes	—
658	#394	C₂²×C₁₃₉	1	1	yes	characteristic
659	#394	C₂²×C₁₃₉	1	2	yes	—
660	#394	C₂²×C₁₃₉	1	1	yes	characteristic
661	#394	C₂²×C₁₃₉	1	1	yes	characteristic
662	#394	C₂²×C₁₃₉	1	2	yes	—
663	#393	C₂²×C₁₃₉	1	2	yes	—
664	#392	C₂²×C₁₃₉	1	2	yes	—
665	#392	C₂²×C₁₃₉	1	2	yes	—
666	#392	C₂²×C₁₃₉	1	2	yes	—
667	#392	C₂²×C₁₃₉	1	2	yes	—
668	#392	C₂²×C₁₃₉	1	1	yes	characteristic
669	#392	C₂²×C₁₃₉	1	2	yes	—
670	#392	C₂²×C₁₃₉	1	2	yes	—
671	#391	C₂²×C₁₃₉	1	2	yes	—
672	#390	C₂²×C₁₃₉	1	2	yes	—
673	#390	C₂²×C₁₃₉	1	1	yes	characteristic
674	#390	C₂²×C₁₃₉	1	1	yes	characteristic
675	#390	C₂²×C₁₃₉	1	2	yes	—
676	#390	C₂²×C₁₃₉	1	2	yes	—
677	#390	C₂²×C₁₃₉	1	1	yes	characteristic
678	#390	C₂²×C₁₃₉	1	1	yes	characteristic
679	#390	C₂²×C₁₃₉	1	2	yes	—
680	#390	C₂²×C₁₃₉	1	2	yes	—
681	#390	C₂²×C₁₃₉	1	2	yes	—
682	#389	C₂²×C₁₃₉	1	2	yes	—
683	#389	C₂²×C₁₃₉	1	1	yes	characteristic
684	#389	C₂²×C₁₃₉	1	1	yes	characteristic
685	#388	C₂²×C₁₃₉	1	2	yes	—
686	#388	C₂²×C₁₃₉	1	2	yes	—
687	#388	C₂²×C₁₃₉	1	2	yes	—
688	#388	C₂²×C₁₃₉	1	2	yes	—
689	#388	C₂²×C₁₃₉	1	2	yes	—
690	#388	C₂²×C₁₃₉	1	2	yes	—
691	#388	C₂²×C₁₃₉	1	2	yes	—
692	#387	C₂²×C₁₃₉	1	2	yes	—
693	#386	C₂²×C₁₃₉	1	2	yes	—
694	#386	C₂²×C₁₃₉	1	2	yes	—
695	#386	C₂²×C₁₃₉	1	2	yes	—
696	#386	C₂²×C₁₃₉	1	2	yes	—
697	#386	C₂²×C₁₃₉	1	2	yes	—
698	#385	C₂²×C₁₃₉	1	2	yes	—
699	#382	C₂²×C₁₃₉	1	1	yes	characteristic
700	#380	C₂²×C₁₃₉	1	1	yes	characteristic
701	#380	C₂²×C₁₃₉	1	1	yes	characteristic
702	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
703	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
704	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
705	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
706	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	—
707	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
708	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
709	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
710	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
711	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
712	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
713	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
714	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
715	C₂×#41	—	2	8	no	—
716	C₂×#41	—	4	4	no	—
717	C₂×#41	—	4	4	no	—
718	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
719	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
720	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
721	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
722	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
723	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
724	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
725	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
726	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
727	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
728	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
729	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
730	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
731	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
732	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
733	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
734	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
735	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
736	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
737	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
738	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
739	C₄⋊Q₈	—	2	4	no	—
740	#127	—	2	4	no	—
741	#127	—	4	4	no	—
742	#126	—	2	8	no	—
743	#125	—	2	4	no	—
744	#124	—	4	4	no	—
745	#123	—	2	8	no	—
746	#123	—	2	8	no	—
747	#123	—	2	8	no	—
748	C₂²⋊Q₈	—	2	8	no	—
749	#121	—	2	4	no	—
750	#121	—	2	8	no	—
751	#121	—	2	4	no	—
752	#121	—	2	4	no	—
753	#121	—	2	4	no	—
754	#121	—	2	4	no	—
755	#121	—	2	4	no	—
756	C₄×D₄	—	2	4	no	—
757	C₄×D₄	—	2	8	no	—
758	C₄×D₄	—	2	4	no	—
759	C₄×D₄	—	2	4	no	—
760	C₄×D₄	—	2	4	no	—
761	C₄×D₄	—	2	4	no	—
762	C₄×D₄	—	4	4	no	—
763	C₄×D₄	—	4	4	no	—
764	#117	—	2	4	no	—
765	#117	—	2	4	no	—
766	#117	—	2	4	no	—
767	C₂×C₄⋊C₄	—	2	4	no	—
768	C₂×C₄⋊C₄	D₄×C₁₃₉	1	8	yes	complemented
769	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
770	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
771	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
772	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
773	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
774	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
775	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
776	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
777	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
778	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
779	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
780	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
781	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
782	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
783	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
784	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
785	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
786	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
787	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
788	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
789	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
790	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
791	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
792	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
793	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
794	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
795	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
796	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
797	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
798	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
799	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
800	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
801	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
802	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
803	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
804	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
805	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
806	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
807	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
808	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
809	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
810	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
811	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
812	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
813	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
814	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
815	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
816	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
817	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
818	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
819	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
820	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
821	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
822	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
823	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
824	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
825	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
826	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
827	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
828	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
829	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
830	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
831	#95	C₂³×C₁₃₉	1	1	yes	characteristic
832	#95	C₂³×C₁₃₉	1	2	yes	—
833	#95	C₂³×C₁₃₉	1	2	yes	—
834	#95	C₂³×C₁₃₉	1	2	yes	—
835	#95	C₂³×C₁₃₉	1	2	yes	—
836	#95	C₂³×C₁₃₉	1	2	yes	—
837	#95	C₂³×C₁₃₉	1	2	yes	—
838	#95	C₂³×C₁₃₉	1	1	yes	characteristic
839	#95	C₂³×C₁₃₉	1	2	yes	—
840	#95	C₂³×C₁₃₉	1	1	yes	characteristic
841	#95	C₂³×C₁₃₉	1	1	yes	characteristic
842	#95	C₂³×C₁₃₉	1	1	yes	characteristic
843	#95	C₂³×C₁₃₉	1	1	yes	characteristic
844	#95	C₂³×C₁₃₉	1	2	yes	—
845	#95	C₂³×C₁₃₉	1	2	yes	—
846	#95	C₂³×C₁₃₉	1	2	yes	—
847	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
848	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
849	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
850	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
851	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
852	#41	—	4	32	no	—
853	C₂×Q₈	—	2	4	no	—
854	C₂×Q₈	—	2	4	no	—
855	C₂×Q₈	—	4	2	no	—
856	C₂×D₄	—	2	2	no	—
857	C₂×D₄	—	2	2	no	—
858	C₂×D₄	—	2	4	no	—
859	C₂×D₄	—	2	2	no	—
860	C₂×D₄	—	2	4	no	—
861	C₂×D₄	—	2	4	no	—
862	C₂×D₄	—	2	2	no	—
863	C₂×D₄	—	2	4	no	—
864	C₂×D₄	—	2	2	no	—
865	C₂×D₄	—	2	2	no	—
866	C₂×D₄	—	2	4	no	—
867	C₂×D₄	—	2	4	no	—
868	C₂×D₄	—	2	2	no	—
869	C₂×D₄	—	2	4	no	—
870	C₂×D₄	—	2	2	no	—
871	C₂×D₄	—	2	2	no	—
872	C₂×D₄	—	2	4	no	—
873	C₂×D₄	—	2	2	no	—
874	C₂×D₄	—	2	2	no	—
875	C₂×D₄	—	2	4	no	—
876	C₂×D₄	—	2	4	no	—
877	C₂×D₄	—	2	2	no	—
878	C₂×D₄	—	4	2	no	—
879	C₂×D₄	—	4	2	no	—
880	C₂×D₄	—	4	2	no	—
881	C₂×D₄	—	4	1	no	—
882	C₂×D₄	—	4	1	no	—
883	C₂×D₄	—	4	2	no	—
884	C₂×D₄	—	4	2	no	—
885	C₂×D₄	—	4	1	no	—
886	C₂×D₄	—	4	2	no	—
887	C₂×D₄	—	4	2	no	—
888	C₂×D₄	—	4	2	no	—
889	C₂×D₄	—	4	2	no	—
890	C₂×D₄	—	4	2	no	—
891	C₂×D₄	—	4	2	no	—
892	C₂×D₄	—	4	2	no	—
893	C₂×D₄	—	4	2	no	—
894	C₂×D₄	—	4	2	no	—
895	C₂²×C₄	—	2	2	no	—
896	C₂²×C₄	—	2	2	no	—
897	C₂²×C₄	—	2	4	no	—
898	C₂²×C₄	—	2	2	no	—
899	C₂²×C₄	—	2	4	no	—
900	C₂²×C₄	—	2	2	no	—
901	C₂²×C₄	—	2	4	no	—
902	C₂²×C₄	—	2	2	no	—
903	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	—	2	2	no	—
905	C₂²×C₄	—	2	2	no	—
906	C₂²×C₄	—	2	4	no	—
907	C₂²×C₄	—	2	4	no	—
908	C₂²×C₄	—	4	2	no	—
909	C₂²×C₄	—	4	2	no	—
910	C₂²×C₄	—	4	2	no	—
911	C₂²×C₄	—	4	2	no	—
912	C₂²×C₄	—	4	2	no	—
913	C₂²×C₄	—	4	2	no	—
914	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
915	C₂²×C₄	C₂×D₄×C₁₃₉	1	8	yes	—
916	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
917	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
918	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
919	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
920	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
921	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
922	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
923	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
924	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
925	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
926	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
927	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
928	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
929	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
930	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
931	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
932	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
933	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
934	C₄⋊C₄	—	2	2	no	—
935	C₄⋊C₄	—	2	4	no	—
936	C₄⋊C₄	—	2	2	no	—
937	C₄⋊C₄	—	2	2	no	—
938	C₄⋊C₄	—	2	4	no	—
939	C₄⋊C₄	—	2	2	no	—
940	C₄⋊C₄	—	2	4	no	—
941	C₄⋊C₄	—	2	4	no	—
942	C₄⋊C₄	—	2	2	no	—
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	4	1	no	—
948	C₄⋊C₄	—	4	2	no	—
949	C₄⋊C₄	—	4	2	no	—
950	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
951	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
952	C₄⋊C₄	C₂×D₄×C₁₃₉	1	8	yes	—
953	C₄⋊C₄	#41×C₁₃₉	1	4	yes	complemented
954	C₂²⋊C₄	—	2	2	no	—
955	C₂²⋊C₄	—	2	2	no	—
956	C₂²⋊C₄	—	2	2	no	—
957	C₂²⋊C₄	—	2	4	no	—
958	C₂²⋊C₄	—	2	4	no	—
959	C₂²⋊C₄	—	2	4	no	—
960	C₂²⋊C₄	—	2	4	no	—
961	C₂²⋊C₄	—	2	2	no	—
962	C₂²⋊C₄	—	2	2	no	—
963	C₂²⋊C₄	—	2	4	no	—
964	C₂²⋊C₄	—	2	4	no	—
965	C₂²⋊C₄	—	2	4	no	—
966	C₂²⋊C₄	—	2	4	no	—
967	C₂²⋊C₄	—	2	2	no	—
968	C₂²⋊C₄	—	2	2	no	—
969	C₂²⋊C₄	—	2	2	no	—
970	C₂²⋊C₄	—	2	2	no	—
971	C₂²⋊C₄	—	2	4	no	—
972	C₂²⋊C₄	—	2	4	no	—
973	C₂²⋊C₄	—	2	4	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	4	1	no	—
976	C₂²⋊C₄	—	4	2	no	—
977	C₂²⋊C₄	—	4	2	no	—
978	C₂²⋊C₄	—	4	2	no	—
979	C₂²⋊C₄	—	4	2	no	—
980	C₂²⋊C₄	—	4	1	no	—
981	C₂²⋊C₄	—	4	2	no	—
982	C₂²⋊C₄	—	4	2	no	—
983	C₂²⋊C₄	—	4	2	no	—
984	C₂²⋊C₄	—	4	2	no	—
985	C₂²⋊C₄	—	4	2	no	—
986	C₄²	—	2	4	no	—
987	C₄²	—	2	2	no	—
988	C₄²	—	2	2	no	—
989	C₄²	—	2	4	no	—
990	C₄²	—	2	2	no	—
991	C₄²	—	4	2	no	—
992	C₄²	—	4	2	no	—
993	C₄²	—	4	2	no	—
994	C₄²	—	4	2	no	—
995	C₄²	#41×C₁₃₉	1	4	yes	complemented
996	C₂³	—	2	1	no	—
997	C₂³	—	2	1	no	—
998	C₂³	—	2	1	no	—
999	C₂³	—	2	1	no	—
1000	C₂³	—	2	1	no	—
1001	C₂³	—	2	1	no	—
1002	C₂³	—	2	1	no	—
1003	C₂³	—	2	1	no	—
1004	C₂³	—	2	1	no	—
1005	C₂³	—	2	1	no	—
1006	C₂³	—	2	1	no	—
1007	C₂³	—	2	1	no	—
1008	C₂³	—	2	1	no	—
1009	C₂³	—	2	2	no	—
1010	C₂³	—	2	2	no	—
1011	C₂³	—	2	1	no	—
1012	C₂³	—	2	2	no	—
1013	C₂³	—	2	2	no	—
1014	C₂³	—	2	1	no	—
1015	C₂³	—	2	2	no	—
1016	C₂³	—	2	2	no	—
1017	C₂³	—	2	1	no	—
1018	C₂³	—	2	2	no	—
1019	C₂³	—	2	2	no	—
1020	C₂³	—	2	2	no	—
1021	C₂³	—	2	2	no	—
1022	C₂³	—	2	1	no	—
1023	C₂³	—	2	2	no	—
1024	C₂³	—	2	1	no	—
1025	C₂³	—	2	2	no	—
1026	C₂³	—	2	2	no	—
1027	C₂³	—	2	2	no	—
1028	C₂³	—	2	1	no	—
1029	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1030	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1031	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
1032	Q₈	—	4	8	no	—
1033	D₄	—	2	8	no	—
1034	D₄	—	4	8	no	—
1035	D₄	—	4	4	no	—
1036	D₄	—	4	8	no	—
1037	D₄	—	4	8	no	—
1038	D₄	—	4	8	no	—
1039	D₄	—	4	8	no	—
1040	D₄	—	4	4	no	—
1041	D₄	—	4	4	no	—
1042	D₄	—	4	4	no	—
1043	D₄	—	8	4	no	—
1044	D₄	—	8	4	no	—
1045	D₄	—	8	4	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	2	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	1	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	8	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	2	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	2	1	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	2	no	—
1086	C₂×C₄	—	2	2	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	1	no	—
1089	C₂×C₄	—	2	2	no	—
1090	C₂×C₄	—	2	1	no	—
1091	C₂×C₄	—	4	8	no	—
1092	C₂×C₄	—	4	8	no	—
1093	C₂×C₄	—	4	8	no	—
1094	C₂×C₄	—	4	4	no	—
1095	C₂×C₄	—	4	4	no	—
1096	C₂×C₄	—	8	4	no	—
1097	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
1098	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1099	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
1100	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1101	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
1102	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1103	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1104	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1105	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1106	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1107	C₂²	—	2	2	no	—
1108	C₂²	—	2	2	no	—
1109	C₂²	—	2	2	no	—
1110	C₂²	—	2	2	no	—
1111	C₂²	—	2	2	no	—
1112	C₂²	—	2	2	no	—
1113	C₂²	—	4	1	no	—
1114	C₂²	—	4	1	no	—
1115	C₂²	—	4	1	no	—
1116	C₂²	—	4	1	no	—
1117	C₂²	—	4	1	no	—
1118	C₂²	—	4	1	no	—
1119	C₂²	—	4	1	no	—
1120	C₂²	—	4	1	no	—
1121	C₂²	—	4	1	no	—
1122	C₂²	—	4	2	no	—
1123	C₂²	—	4	2	no	—
1124	C₂²	—	4	2	no	—
1125	C₂²	—	4	2	no	—
1126	C₂²	—	4	1	no	—
1127	C₂²	—	4	1	no	—
1128	C₂²	—	4	2	no	—
1129	C₂²	—	4	2	no	—
1130	C₂²	—	4	1	no	—
1131	C₂²	—	4	2	no	—
1132	C₂²	—	4	2	no	—
1133	C₂²	—	4	2	no	—
1134	C₂²	—	4	2	no	—
1135	C₂²	—	4	1	no	—
1136	C₂²	—	4	2	no	—
1137	C₂²	—	4	1	no	—
1138	C₂²	—	4	2	no	—
1139	C₂²	—	4	2	no	—
1140	C₂²	—	4	2	no	—
1141	C₂²	—	4	1	no	—
1142	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1143	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1144	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1145	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1146	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1147	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1148	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1149	C₄	—	2	2	no	—
1150	C₄	—	2	4	no	—
1151	C₄	—	2	2	no	—
1152	C₄	—	2	4	no	—
1153	C₄	—	2	2	no	—
1154	C₄	—	2	2	no	—
1155	C₄	—	2	4	no	—
1156	C₄	—	4	1	no	—
1157	C₄	—	4	1	no	—
1158	C₄	—	4	2	no	—
1159	C₄	—	4	1	no	—
1160	C₄	—	4	2	no	—
1161	C₄	—	4	1	no	—
1162	C₄	—	4	1	no	—
1163	C₄	—	4	1	no	—
1164	C₄	—	4	1	no	—
1165	C₄	—	4	2	no	—
1166	C₄	#532×C₁₃₉	1	4	yes	—
1167	C₂	—	4	2	no	—
1168	C₂	—	4	2	no	—
1169	C₂	—	8	1	no	—
1170	C₂	—	8	2	no	—
1171	C₂	—	8	2	no	—
1172	C₂	C₂×#532×C₁₃₉	1	1	yes	characteristic
1173	C₂	#3484×C₁₃₉	1	1	yes	characteristic
1174	C₂	#3487×C₁₃₉	1	1	yes	characteristic
1175	C₂	#3494×C₁₃₉	1	1	yes	characteristic
1176	C₂	#3506×C₁₃₉	1	1	yes	characteristic
1177	C₂	#3513×C₁₃₉	1	1	yes	characteristic
1178	C₂	#3517×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×#553×C₁₃₉	C₂	semidirect
2. C₂×#547×C₁₃₉	C₂	semidirect
3. #2661×C₁₃₉	C₂	semidirect
4. #2619×C₁₃₉	C₂	semidirect
5. #2602×C₁₃₉	C₂	semidirect
6. #2560×C₁₃₉	C₂	semidirect
7. #2554×C₁₃₉	C₂	semidirect
8. #2550×C₁₃₉	C₂	semidirect
9. #2541×C₁₃₉	C₂	semidirect
10. #2491×C₁₃₉	C₂	semidirect
11. #2490×C₁₃₉	C₂	semidirect
12. #2461×C₁₃₉	C₂	semidirect
13. #2445×C₁₃₉	C₂	semidirect
14. #2431×C₁₃₉	C₂	semidirect
15. #2414×C₁₃₉	C₂	semidirect
16. #2414×C₁₃₉	C₂	semidirect
17. #2392×C₁₃₉	C₂	semidirect
18. #2388×C₁₃₉	C₂	semidirect
19. #2366×C₁₃₉	C₂	semidirect
20. #2363×C₁₃₉	C₂	semidirect
21. #2361×C₁₃₉	C₂	semidirect
22. #2352×C₁₃₉	C₂	semidirect
23. #2274×C₁₃₉	C₂	semidirect
178. C₂×C₄⋊C₄×C₁₃₉	D₄	semidirect
363. C₄⋊C₄×C₁₃₉	#41	semidirect
405. C₄²×C₁₃₉	#41	semidirect
589. #35768	C₁₃₉	direct (N × H)
590. C₁₃₉	#35768	direct (N × H)
591. C₂×#553	C₂×C₁₃₉	semidirect
592. C₂×#547	C₂×C₁₃₉	semidirect
593. #2661	C₂×C₁₃₉	semidirect
594. #2619	C₂×C₁₃₉	semidirect
595. #2602	C₂×C₁₃₉	semidirect
596. #2560	C₂×C₁₃₉	semidirect
597. #2554	C₂×C₁₃₉	semidirect
598. #2550	C₂×C₁₃₉	semidirect
599. #2541	C₂×C₁₃₉	semidirect
600. #2491	C₂×C₁₃₉	semidirect
601. #2490	C₂×C₁₃₉	semidirect
602. #2461	C₂×C₁₃₉	semidirect
603. #2445	C₂×C₁₃₉	semidirect
604. #2431	C₂×C₁₃₉	semidirect
605. #2414	C₂×C₁₃₉	semidirect
606. #2414	C₂×C₁₃₉	semidirect
607. #2392	C₂×C₁₃₉	semidirect
608. #2388	C₂×C₁₃₉	semidirect
609. #2366	C₂×C₁₃₉	semidirect
610. #2363	C₂×C₁₃₉	semidirect
611. #2361	C₂×C₁₃₉	semidirect
612. #2352	C₂×C₁₃₉	semidirect
613. #2274	C₂×C₁₃₉	semidirect
768. C₂×C₄⋊C₄	D₄×C₁₃₉	semidirect
953. C₄⋊C₄	#41×C₁₃₉	semidirect
995. C₄²	#41×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#553×C₁₃₉	2
C₂×#547×C₁₃₉	2
#2661×C₁₃₉	2
#2619×C₁₃₉	2
#2602×C₁₃₉	2
#2560×C₁₃₉	2
#2554×C₁₃₉	2
#2550×C₁₃₉	2
#2541×C₁₃₉	2
#2491×C₁₃₉	2
#2490×C₁₃₉	2
#2461×C₁₃₉	2
#2445×C₁₃₉	2
#2431×C₁₃₉	2
#2414×C₁₃₉	2
#2392×C₁₃₉	2
#2388×C₁₃₉	2
#2366×C₁₃₉	2
#2363×C₁₃₉	2
#2361×C₁₃₉	2
#2352×C₁₃₉	2
#2274×C₁₃₉	2
#35768	139

Subgroups — C139×#35768 #48030364

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#35768 #48030364