Subgroups — C₁₃₉×#37282 #48031878

Order 35584.

1922 conjugacy classes of subgroups.

The subgroup lattice has 1084 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#2848×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	#2847×C₁₃₉	C₂	1	1	yes	maximal, characteristic
3	#2784×C₁₃₉	C₂	1	2	yes	maximal, complemented
4	#2779×C₁₃₉	C₂	1	2	yes	maximal, complemented
5	#2751×C₁₃₉	C₂	1	2	yes	maximal, complemented
6	#2750×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2743×C₁₃₉	C₂	1	2	yes	maximal, complemented
8	#2715×C₁₃₉	C₂	1	2	yes	maximal, complemented
9	#2685×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2684×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2628×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
12	#2620×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
13	#2497×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#2496×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#2492×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2491×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2427×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
18	#2426×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#2421×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	#2420×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2324×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	#2323×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
23	#2280×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic
25	C₂×C₄⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
26	C₂×#126×C₁₃₉	C₂²	1	2	yes	—
27	C₂×#124×C₁₃₉	C₂²	1	2	yes	—
28	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
29	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
30	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
31	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
32	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
33	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
34	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
35	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
36	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
38	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
39	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
40	#400×C₁₃₉	C₂²	1	2	yes	complemented
41	#400×C₁₃₉	C₂²	1	2	yes	complemented
42	#400×C₁₃₉	C₂²	1	2	yes	complemented
43	#400×C₁₃₉	C₂²	1	2	yes	complemented
44	#400×C₁₃₉	C₂²	1	2	yes	complemented
45	#399×C₁₃₉	C₂²	1	2	yes	—
46	#397×C₁₃₉	C₂²	1	2	yes	—
47	#397×C₁₃₉	C₂²	1	2	yes	—
48	#397×C₁₃₉	C₂²	1	2	yes	complemented
49	#397×C₁₃₉	C₂²	1	2	yes	complemented
50	#396×C₁₃₉	C₂²	1	2	yes	—
51	#396×C₁₃₉	C₂²	1	2	yes	complemented
52	#396×C₁₃₉	C₂²	1	2	yes	complemented
53	#396×C₁₃₉	C₂²	1	2	yes	complemented
54	#395×C₁₃₉	C₂²	1	2	yes	complemented
55	#394×C₁₃₉	C₂²	1	2	yes	—
56	#394×C₁₃₉	C₂²	1	2	yes	—
57	#394×C₁₃₉	C₂²	1	2	yes	—
58	#394×C₁₃₉	C₂²	1	2	yes	—
59	#394×C₁₃₉	C₂²	1	2	yes	—
60	#394×C₁₃₉	C₂²	1	2	yes	—
61	#393×C₁₃₉	C₂²	1	2	yes	—
62	#393×C₁₃₉	C₂²	1	2	yes	—
63	#393×C₁₃₉	C₂²	1	2	yes	complemented
64	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
65	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
66	#391×C₁₃₉	C₂²	1	2	yes	complemented
67	#390×C₁₃₉	C₂²	1	2	yes	—
68	#390×C₁₃₉	C₂²	1	2	yes	—
69	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
70	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
71	#389×C₁₃₉	C₂²	1	2	yes	complemented
72	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
73	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
74	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
75	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
76	#388×C₁₃₉	C₂²	1	2	yes	—
77	#388×C₁₃₉	C₂²	1	2	yes	—
78	#388×C₁₃₉	C₂²	1	2	yes	—
79	#388×C₁₃₉	C₂²	1	2	yes	—
80	#388×C₁₃₉	C₂²	1	2	yes	—
81	#388×C₁₃₉	C₂²	1	2	yes	complemented
82	#388×C₁₃₉	C₂²	1	2	yes	complemented
83	#388×C₁₃₉	C₂²	1	2	yes	complemented
84	#387×C₁₃₉	C₂²	1	2	yes	complemented
85	#387×C₁₃₉	C₂²	1	2	yes	complemented
86	#387×C₁₃₉	C₂²	1	2	yes	complemented
87	#387×C₁₃₉	C₂²	1	2	yes	complemented
88	#386×C₁₃₉	C₂²	1	2	yes	—
89	#386×C₁₃₉	C₂²	1	2	yes	—
90	#386×C₁₃₉	C₂²	1	2	yes	—
91	#386×C₁₃₉	C₂²	1	2	yes	—
92	#386×C₁₃₉	C₂²	1	2	yes	—
93	#386×C₁₃₉	C₂²	1	2	yes	—
94	#385×C₁₃₉	C₂²	1	2	yes	—
95	#385×C₁₃₉	C₂²	1	2	yes	—
96	#385×C₁₃₉	C₂²	1	2	yes	—
97	#385×C₁₃₉	C₂²	1	2	yes	complemented
98	#384×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
99	#382×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
100	#381×C₁₃₉	C₂²	1	1	yes	characteristic
101	#381×C₁₃₉	C₂²	1	1	yes	characteristic
102	#381×C₁₃₉	C₂²	1	2	yes	complemented
103	#380×C₁₃₉	C₂²	1	1	yes	characteristic
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	1	yes	characteristic
108	#380×C₁₃₉	C₂²	1	1	yes	characteristic
109	#380×C₁₃₉	C₂²	1	1	yes	characteristic
110	#380×C₁₃₉	C₂²	1	1	yes	characteristic
111	#380×C₁₃₉	C₂²	1	1	yes	characteristic
112	#380×C₁₃₉	C₂²	1	1	yes	characteristic
113	#380×C₁₃₉	C₂²	1	2	yes	complemented
114	#379×C₁₃₉	C₂²	1	1	yes	characteristic
115	#379×C₁₃₉	C₂²	1	1	yes	characteristic
116	#379×C₁₃₉	C₂²	1	2	yes	—
117	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
118	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
119	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
120	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
121	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
122	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
123	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
124	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
125	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
126	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
127	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
128	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
129	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
130	C₂³×C₄×C₁₃₉	—	2	4	no	—
131	C₂³×C₄×C₁₃₉	—	4	2	no	—
132	C₂³×C₄×C₁₃₉	—	4	2	no	—
133	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
140	C₄⋊Q₈×C₁₃₉	—	4	2	no	—
141	#126×C₁₃₉	—	4	4	no	—
142	#124×C₁₃₉	—	4	2	no	—
143	#124×C₁₃₉	—	4	4	no	—
144	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
145	C₂²⋊Q₈×C₁₃₉	—	4	2	no	—
146	C₂²⋊Q₈×C₁₃₉	—	4	2	no	—
147	#121×C₁₃₉	—	2	4	no	—
148	#121×C₁₃₉	—	4	2	no	—
149	#121×C₁₃₉	—	4	2	no	—
150	#120×C₁₃₉	—	4	4	no	—
151	C₄×Q₈×C₁₃₉	—	4	2	no	—
152	C₄×D₄×C₁₃₉	—	4	2	no	—
153	#117×C₁₃₉	—	4	2	no	—
154	#117×C₁₃₉	—	4	2	no	—
155	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
156	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
157	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
158	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
159	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
160	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
161	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
162	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
163	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
164	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
165	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
166	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
167	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
175	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
176	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
177	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
178	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
179	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
180	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
181	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
182	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
183	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
184	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
185	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
186	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
187	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
188	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
189	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
190	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
191	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
192	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
193	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
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	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	2	yes	—
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	2	yes	—
207	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
208	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
209	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
212	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
213	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
214	#95×C₁₃₉	C₂³	1	2	yes	—
215	#95×C₁₃₉	C₂³	1	2	yes	—
216	#95×C₁₃₉	C₂³	1	2	yes	—
217	#95×C₁₃₉	C₂³	1	2	yes	—
218	#95×C₁₃₉	C₂³	1	1	yes	characteristic
219	#95×C₁₃₉	C₂³	1	2	yes	—
220	#95×C₁₃₉	C₂³	1	2	yes	—
221	#95×C₁₃₉	C₂³	1	2	yes	—
222	#95×C₁₃₉	C₂³	1	2	yes	—
223	#95×C₁₃₉	C₂³	1	2	yes	—
224	#95×C₁₃₉	C₂³	1	2	yes	—
225	#95×C₁₃₉	C₂³	1	1	yes	characteristic
226	#95×C₁₃₉	C₂³	1	1	yes	characteristic
227	#95×C₁₃₉	C₂³	1	2	yes	—
228	#95×C₁₃₉	C₂³	1	2	yes	—
229	#95×C₁₃₉	C₂³	1	2	yes	—
230	#95×C₁₃₉	C₂³	1	2	yes	—
231	#95×C₁₃₉	C₂³	1	1	yes	characteristic
232	#95×C₁₃₉	C₂³	1	1	yes	characteristic
233	#95×C₁₃₉	C₂³	1	1	yes	characteristic
234	#95×C₁₃₉	C₂³	1	1	yes	characteristic
235	#95×C₁₃₉	C₂³	1	2	yes	—
236	#95×C₁₃₉	C₂³	1	2	yes	—
237	#95×C₁₃₉	C₂³	1	2	yes	—
238	#95×C₁₃₉	C₂³	1	2	yes	—
239	#95×C₁₃₉	C₂³	1	1	yes	characteristic
240	C₂⁴×C₁₃₉	—	2	2	no	—
241	C₂⁴×C₁₃₉	—	2	2	no	—
242	C₂⁴×C₁₃₉	—	2	2	no	—
243	C₂⁴×C₁₃₉	—	4	1	no	—
244	C₂⁴×C₁₃₉	—	4	1	no	—
245	C₂⁴×C₁₃₉	—	4	1	no	—
246	C₂⁴×C₁₃₉	—	4	1	no	—
247	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
248	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
249	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
250	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
251	C₂×Q₈×C₁₃₉	—	2	2	no	—
252	C₂×Q₈×C₁₃₉	—	2	2	no	—
253	C₂×Q₈×C₁₃₉	—	2	2	no	—
254	C₂×Q₈×C₁₃₉	—	4	2	no	—
255	C₂×Q₈×C₁₃₉	—	4	2	no	—
256	C₂×Q₈×C₁₃₉	—	4	2	no	—
257	C₂×D₄×C₁₃₉	—	2	4	no	—
258	C₂×D₄×C₁₃₉	—	2	4	no	—
259	C₂×D₄×C₁₃₉	—	2	4	no	—
260	C₂×D₄×C₁₃₉	—	2	2	no	—
261	C₂×D₄×C₁₃₉	—	2	2	no	—
262	C₂×D₄×C₁₃₉	—	2	2	no	—
263	C₂×D₄×C₁₃₉	—	4	2	no	—
264	C₂×D₄×C₁₃₉	—	4	2	no	—
265	C₂×D₄×C₁₃₉	—	4	2	no	—
266	C₂×D₄×C₁₃₉	—	4	2	no	—
267	C₂×D₄×C₁₃₉	—	4	2	no	—
268	C₂×D₄×C₁₃₉	—	4	2	no	—
269	C₂²×C₄×C₁₃₉	—	2	2	no	—
270	C₂²×C₄×C₁₃₉	—	2	2	no	—
271	C₂²×C₄×C₁₃₉	—	2	2	no	—
272	C₂²×C₄×C₁₃₉	—	2	2	no	—
273	C₂²×C₄×C₁₃₉	—	2	2	no	—
274	C₂²×C₄×C₁₃₉	—	2	2	no	—
275	C₂²×C₄×C₁₃₉	—	2	2	no	—
276	C₂²×C₄×C₁₃₉	—	2	2	no	—
277	C₂²×C₄×C₁₃₉	—	2	2	no	—
278	C₂²×C₄×C₁₃₉	—	2	2	no	—
279	C₂²×C₄×C₁₃₉	—	2	2	no	—
280	C₂²×C₄×C₁₃₉	—	4	1	no	—
281	C₂²×C₄×C₁₃₉	—	4	1	no	—
282	C₂²×C₄×C₁₃₉	—	4	1	no	—
283	C₂²×C₄×C₁₃₉	—	4	1	no	—
284	C₂²×C₄×C₁₃₉	—	4	1	no	—
285	C₂²×C₄×C₁₃₉	—	4	1	no	—
286	C₂²×C₄×C₁₃₉	—	4	2	no	—
287	C₂²×C₄×C₁₃₉	—	4	2	no	—
288	C₂²×C₄×C₁₃₉	—	4	2	no	—
289	C₂²×C₄×C₁₃₉	—	4	16	no	—
290	C₂²×C₄×C₁₃₉	#41	1	4	yes	—
291	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
292	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
293	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
294	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
295	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
296	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
297	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
298	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
299	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
300	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
301	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
302	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
303	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
304	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
305	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
306	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
307	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
308	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
309	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
310	C₄⋊C₄×C₁₃₉	—	2	2	no	—
311	C₄⋊C₄×C₁₃₉	—	2	2	no	—
312	C₄⋊C₄×C₁₃₉	—	2	4	no	—
313	C₄⋊C₄×C₁₃₉	—	2	2	no	—
314	C₄⋊C₄×C₁₃₉	—	2	2	no	—
315	C₄⋊C₄×C₁₃₉	—	2	2	no	—
316	C₄⋊C₄×C₁₃₉	—	2	2	no	—
317	C₄⋊C₄×C₁₃₉	—	4	2	no	—
318	C₄⋊C₄×C₁₃₉	—	4	2	no	—
319	C₄⋊C₄×C₁₃₉	—	4	2	no	—
320	C₄⋊C₄×C₁₃₉	—	4	1	no	—
321	C₄⋊C₄×C₁₃₉	—	4	1	no	—
322	C₄⋊C₄×C₁₃₉	—	4	1	no	—
323	C₄⋊C₄×C₁₃₉	—	4	1	no	—
324	C₄⋊C₄×C₁₃₉	—	4	2	no	—
325	C₄⋊C₄×C₁₃₉	—	4	2	no	—
326	C₄⋊C₄×C₁₃₉	—	4	2	no	—
327	C₄⋊C₄×C₁₃₉	—	4	2	no	—
328	C₄⋊C₄×C₁₃₉	—	4	2	no	—
329	C₄⋊C₄×C₁₃₉	—	4	2	no	—
330	C₄⋊C₄×C₁₃₉	—	4	2	no	—
331	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
332	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
333	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
334	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
335	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
336	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
337	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
338	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
339	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
340	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
341	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
342	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
343	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
344	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
345	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
346	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
347	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
348	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
349	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
350	C₂²⋊C₄×C₁₃₉	—	4	1	no	—
351	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
352	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
353	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
354	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
355	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
356	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
357	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
358	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
359	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
360	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
361	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
362	C₄²×C₁₃₉	—	2	2	no	—
363	C₄²×C₁₃₉	—	2	2	no	—
364	C₄²×C₁₃₉	—	2	2	no	—
365	C₄²×C₁₃₉	—	2	2	no	—
366	C₄²×C₁₃₉	—	4	2	no	—
367	C₄²×C₁₃₉	—	4	2	no	—
368	C₄²×C₁₃₉	—	4	2	no	—
369	C₂³×C₁₃₉	—	2	1	no	—
370	C₂³×C₁₃₉	—	2	1	no	—
371	C₂³×C₁₃₉	—	2	1	no	—
372	C₂³×C₁₃₉	—	2	1	no	—
373	C₂³×C₁₃₉	—	2	1	no	—
374	C₂³×C₁₃₉	—	2	1	no	—
375	C₂³×C₁₃₉	—	2	1	no	—
376	C₂³×C₁₃₉	—	2	1	no	—
377	C₂³×C₁₃₉	—	2	1	no	—
378	C₂³×C₁₃₉	—	2	1	no	—
379	C₂³×C₁₃₉	—	2	1	no	—
380	C₂³×C₁₃₉	—	2	1	no	—
381	C₂³×C₁₃₉	—	2	1	no	—
382	C₂³×C₁₃₉	—	2	1	no	—
383	C₂³×C₁₃₉	—	2	1	no	—
384	C₂³×C₁₃₉	—	2	1	no	—
385	C₂³×C₁₃₉	—	2	1	no	—
386	C₂³×C₁₃₉	—	2	1	no	—
387	C₂³×C₁₃₉	—	2	2	no	—
388	C₂³×C₁₃₉	—	2	2	no	—
389	C₂³×C₁₃₉	—	2	2	no	—
390	C₂³×C₁₃₉	—	2	2	no	—
391	C₂³×C₁₃₉	—	2	2	no	—
392	C₂³×C₁₃₉	—	2	2	no	—
393	C₂³×C₁₃₉	—	2	2	no	—
394	C₂³×C₁₃₉	—	4	4	no	—
395	C₂³×C₁₃₉	—	4	4	no	—
396	C₂³×C₁₃₉	—	4	4	no	—
397	C₂³×C₁₃₉	—	4	4	no	—
398	C₂³×C₁₃₉	—	4	4	no	—
399	C₂³×C₁₃₉	—	4	4	no	—
400	C₂³×C₁₃₉	—	4	4	no	—
401	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
402	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
403	C₂³×C₁₃₉	2₋¹⁺⁴	1	2	yes	—
404	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
405	Q₈×C₁₃₉	—	4	4	no	—
406	Q₈×C₁₃₉	—	8	4	no	—
407	D₄×C₁₃₉	—	4	4	no	—
408	D₄×C₁₃₉	—	8	4	no	—
409	D₄×C₁₃₉	—	8	4	no	—
410	D₄×C₁₃₉	—	8	4	no	—
411	C₂×C₄×C₁₃₉	—	2	1	no	—
412	C₂×C₄×C₁₃₉	—	2	1	no	—
413	C₂×C₄×C₁₃₉	—	2	8	no	—
414	C₂×C₄×C₁₃₉	—	2	2	no	—
415	C₂×C₄×C₁₃₉	—	2	2	no	—
416	C₂×C₄×C₁₃₉	—	2	2	no	—
417	C₂×C₄×C₁₃₉	—	2	1	no	—
418	C₂×C₄×C₁₃₉	—	2	1	no	—
419	C₂×C₄×C₁₃₉	—	2	1	no	—
420	C₂×C₄×C₁₃₉	—	2	1	no	—
421	C₂×C₄×C₁₃₉	—	2	1	no	—
422	C₂×C₄×C₁₃₉	—	2	1	no	—
423	C₂×C₄×C₁₃₉	—	2	1	no	—
424	C₂×C₄×C₁₃₉	—	2	1	no	—
425	C₂×C₄×C₁₃₉	—	2	1	no	—
426	C₂×C₄×C₁₃₉	—	2	1	no	—
427	C₂×C₄×C₁₃₉	—	2	1	no	—
428	C₂×C₄×C₁₃₉	—	2	1	no	—
429	C₂×C₄×C₁₃₉	—	2	2	no	—
430	C₂×C₄×C₁₃₉	—	2	2	no	—
431	C₂×C₄×C₁₃₉	—	2	2	no	—
432	C₂×C₄×C₁₃₉	—	2	2	no	—
433	C₂×C₄×C₁₃₉	—	2	2	no	—
434	C₂×C₄×C₁₃₉	—	2	2	no	—
435	C₂×C₄×C₁₃₉	—	2	1	no	—
436	C₂×C₄×C₁₃₉	—	2	2	no	—
437	C₂×C₄×C₁₃₉	—	2	1	no	—
438	C₂×C₄×C₁₃₉	—	2	2	no	—
439	C₂×C₄×C₁₃₉	—	2	2	no	—
440	C₂×C₄×C₁₃₉	—	2	1	no	—
441	C₂×C₄×C₁₃₉	—	2	1	no	—
442	C₂×C₄×C₁₃₉	—	2	2	no	—
443	C₂×C₄×C₁₃₉	—	2	2	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	2	no	—
451	C₂×C₄×C₁₃₉	—	2	1	no	—
452	C₂×C₄×C₁₃₉	—	2	1	no	—
453	C₂×C₄×C₁₃₉	—	2	2	no	—
454	C₂×C₄×C₁₃₉	—	2	2	no	—
455	C₂×C₄×C₁₃₉	—	2	1	no	—
456	C₂×C₄×C₁₃₉	—	2	1	no	—
457	C₂×C₄×C₁₃₉	—	2	1	no	—
458	C₂×C₄×C₁₃₉	—	2	2	no	—
459	C₂×C₄×C₁₃₉	—	2	2	no	—
460	C₂×C₄×C₁₃₉	—	2	1	no	—
461	C₂×C₄×C₁₃₉	—	2	1	no	—
462	C₂×C₄×C₁₃₉	—	2	1	no	—
463	C₂×C₄×C₁₃₉	—	2	2	no	—
464	C₂×C₄×C₁₃₉	—	2	2	no	—
465	C₂×C₄×C₁₃₉	—	4	4	no	—
466	C₂×C₄×C₁₃₉	—	4	4	no	—
467	C₂×C₄×C₁₃₉	—	4	4	no	—
468	C₂×C₄×C₁₃₉	—	4	4	no	—
469	C₂×C₄×C₁₃₉	—	4	4	no	—
470	C₂×C₄×C₁₃₉	—	8	4	no	—
471	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
472	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
473	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
474	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
475	C₂²×C₁₃₉	—	2	2	no	—
476	C₂²×C₁₃₉	—	2	2	no	—
477	C₂²×C₁₃₉	—	2	2	no	—
478	C₂²×C₁₃₉	—	2	2	no	—
479	C₂²×C₁₃₉	—	2	2	no	—
480	C₂²×C₁₃₉	—	2	2	no	—
481	C₂²×C₁₃₉	—	2	2	no	—
482	C₂²×C₁₃₉	—	2	2	no	—
483	C₂²×C₁₃₉	—	2	2	no	—
484	C₂²×C₁₃₉	—	4	16	no	—
485	C₂²×C₁₃₉	—	4	1	no	—
486	C₂²×C₁₃₉	—	4	1	no	—
487	C₂²×C₁₃₉	—	4	1	no	—
488	C₂²×C₁₃₉	—	4	1	no	—
489	C₂²×C₁₃₉	—	4	1	no	—
490	C₂²×C₁₃₉	—	4	1	no	—
491	C₂²×C₁₃₉	—	4	1	no	—
492	C₂²×C₁₃₉	—	4	1	no	—
493	C₂²×C₁₃₉	—	4	1	no	—
494	C₂²×C₁₃₉	—	4	1	no	—
495	C₂²×C₁₃₉	—	4	1	no	—
496	C₂²×C₁₃₉	—	4	1	no	—
497	C₂²×C₁₃₉	—	4	2	no	—
498	C₂²×C₁₃₉	—	4	2	no	—
499	C₂²×C₁₃₉	—	4	2	no	—
500	C₂²×C₁₃₉	—	4	2	no	—
501	C₂²×C₁₃₉	—	4	2	no	—
502	C₂²×C₁₃₉	—	4	2	no	—
503	C₂²×C₁₃₉	—	4	2	no	—
504	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
505	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
506	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
507	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
508	C₂²×C₁₃₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
509	C₂²×C₁₃₉	#585	1	1	yes	characteristic
510	C₂²×C₁₃₉	#585	1	1	yes	characteristic
511	C₄×C₁₃₉	—	2	2	no	—
512	C₄×C₁₃₉	—	4	1	no	—
513	C₄×C₁₃₉	—	4	1	no	—
514	C₄×C₁₃₉	—	4	2	no	—
515	C₄×C₁₃₉	—	4	2	no	—
516	C₄×C₁₃₉	—	4	2	no	—
517	C₄×C₁₃₉	—	4	1	no	—
518	C₄×C₁₃₉	—	4	1	no	—
519	C₄×C₁₃₉	—	4	2	no	—
520	C₄×C₁₃₉	—	4	1	no	—
521	C₄×C₁₃₉	—	4	2	no	—
522	C₄×C₁₃₉	—	4	1	no	—
523	C₄×C₁₃₉	—	4	1	no	—
524	C₄×C₁₃₉	—	4	1	no	—
525	C₄×C₁₃₉	—	4	1	no	—
526	C₄×C₁₃₉	—	4	2	no	—
527	C₄×C₁₃₉	—	4	2	no	—
528	C₄×C₁₃₉	—	4	1	no	—
529	C₄×C₁₃₉	#538	1	4	yes	—
530	C₂×C₁₃₉	—	4	2	no	—
531	C₂×C₁₃₉	—	4	2	no	—
532	C₂×C₁₃₉	—	4	2	no	—
533	C₂×C₁₃₉	—	8	2	no	—
534	C₂×C₁₃₉	C₂×#538	1	1	yes	characteristic
535	C₂×C₁₃₉	#3494	1	1	yes	characteristic
536	C₂×C₁₃₉	#3495	1	1	yes	characteristic
537	C₂×C₁₃₉	#3536	1	1	yes	characteristic
538	C₂×C₁₃₉	#3540	1	1	yes	characteristic
539	C₂×C₁₃₉	#3541	1	1	yes	characteristic
540	C₂×C₁₃₉	#3542	1	1	yes	characteristic
541	#37282	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
542	C₁₃₉	#37282	1	1	yes	characteristic, direct product factor, Sylow
543	#2848	C₂×C₁₃₉	1	1	yes	characteristic, complemented
544	#2847	C₂×C₁₃₉	1	1	yes	characteristic
545	#2784	C₂×C₁₃₉	1	2	yes	complemented
546	#2779	C₂×C₁₃₉	1	2	yes	complemented
547	#2751	C₂×C₁₃₉	1	2	yes	complemented
548	#2750	C₂×C₁₃₉	1	2	yes	complemented
549	#2743	C₂×C₁₃₉	1	2	yes	complemented
550	#2715	C₂×C₁₃₉	1	2	yes	complemented
551	#2685	C₂×C₁₃₉	1	2	yes	complemented
552	#2684	C₂×C₁₃₉	1	2	yes	complemented
553	#2628	C₂×C₁₃₉	1	1	yes	characteristic, complemented
554	#2620	C₂×C₁₃₉	1	1	yes	characteristic, complemented
555	#2497	C₂×C₁₃₉	1	1	yes	characteristic, complemented
556	#2496	C₂×C₁₃₉	1	1	yes	characteristic, complemented
557	#2492	C₂×C₁₃₉	1	1	yes	characteristic, complemented
558	#2491	C₂×C₁₃₉	1	1	yes	characteristic, complemented
559	#2427	C₂×C₁₃₉	1	1	yes	characteristic, complemented
560	#2426	C₂×C₁₃₉	1	1	yes	characteristic, complemented
561	#2421	C₂×C₁₃₉	1	1	yes	characteristic, complemented
562	#2420	C₂×C₁₃₉	1	1	yes	characteristic, complemented
563	#2324	C₂×C₁₃₉	1	1	yes	characteristic, complemented
564	#2323	C₂×C₁₃₉	1	1	yes	characteristic, complemented
565	#2280	C₂×C₁₃₉	1	1	yes	characteristic, complemented
566	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic
567	C₂×C₄⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
568	C₂×#126	C₂²×C₁₃₉	1	2	yes	—
569	C₂×#124	C₂²×C₁₃₉	1	2	yes	—
570	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
571	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
572	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
573	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
574	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
575	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
576	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
577	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
578	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
579	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
580	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
581	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
582	#400	C₂²×C₁₃₉	1	2	yes	complemented
583	#400	C₂²×C₁₃₉	1	2	yes	complemented
584	#400	C₂²×C₁₃₉	1	2	yes	complemented
585	#400	C₂²×C₁₃₉	1	2	yes	complemented
586	#400	C₂²×C₁₃₉	1	2	yes	complemented
587	#399	C₂²×C₁₃₉	1	2	yes	—
588	#397	C₂²×C₁₃₉	1	2	yes	—
589	#397	C₂²×C₁₃₉	1	2	yes	—
590	#397	C₂²×C₁₃₉	1	2	yes	complemented
591	#397	C₂²×C₁₃₉	1	2	yes	complemented
592	#396	C₂²×C₁₃₉	1	2	yes	—
593	#396	C₂²×C₁₃₉	1	2	yes	complemented
594	#396	C₂²×C₁₃₉	1	2	yes	complemented
595	#396	C₂²×C₁₃₉	1	2	yes	complemented
596	#395	C₂²×C₁₃₉	1	2	yes	complemented
597	#394	C₂²×C₁₃₉	1	2	yes	—
598	#394	C₂²×C₁₃₉	1	2	yes	—
599	#394	C₂²×C₁₃₉	1	2	yes	—
600	#394	C₂²×C₁₃₉	1	2	yes	—
601	#394	C₂²×C₁₃₉	1	2	yes	—
602	#394	C₂²×C₁₃₉	1	2	yes	—
603	#393	C₂²×C₁₃₉	1	2	yes	—
604	#393	C₂²×C₁₃₉	1	2	yes	—
605	#393	C₂²×C₁₃₉	1	2	yes	complemented
606	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
607	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
608	#391	C₂²×C₁₃₉	1	2	yes	complemented
609	#390	C₂²×C₁₃₉	1	2	yes	—
610	#390	C₂²×C₁₃₉	1	2	yes	—
611	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
612	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
613	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
614	#389	C₂²×C₁₃₉	1	2	yes	complemented
615	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
616	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
617	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
618	#388	C₂²×C₁₃₉	1	2	yes	—
619	#388	C₂²×C₁₃₉	1	2	yes	—
620	#388	C₂²×C₁₃₉	1	2	yes	—
621	#388	C₂²×C₁₃₉	1	2	yes	—
622	#388	C₂²×C₁₃₉	1	2	yes	—
623	#388	C₂²×C₁₃₉	1	2	yes	complemented
624	#388	C₂²×C₁₃₉	1	2	yes	complemented
625	#388	C₂²×C₁₃₉	1	2	yes	complemented
626	#387	C₂²×C₁₃₉	1	2	yes	complemented
627	#387	C₂²×C₁₃₉	1	2	yes	complemented
628	#387	C₂²×C₁₃₉	1	2	yes	complemented
629	#387	C₂²×C₁₃₉	1	2	yes	complemented
630	#386	C₂²×C₁₃₉	1	2	yes	—
631	#386	C₂²×C₁₃₉	1	2	yes	—
632	#386	C₂²×C₁₃₉	1	2	yes	—
633	#386	C₂²×C₁₃₉	1	2	yes	—
634	#386	C₂²×C₁₃₉	1	2	yes	—
635	#386	C₂²×C₁₃₉	1	2	yes	—
636	#385	C₂²×C₁₃₉	1	2	yes	—
637	#385	C₂²×C₁₃₉	1	2	yes	—
638	#385	C₂²×C₁₃₉	1	2	yes	—
639	#385	C₂²×C₁₃₉	1	2	yes	complemented
640	#384	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
641	#382	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
642	#381	C₂²×C₁₃₉	1	1	yes	characteristic
643	#381	C₂²×C₁₃₉	1	1	yes	characteristic
644	#381	C₂²×C₁₃₉	1	2	yes	complemented
645	#380	C₂²×C₁₃₉	1	1	yes	characteristic
646	#380	C₂²×C₁₃₉	1	1	yes	characteristic
647	#380	C₂²×C₁₃₉	1	1	yes	characteristic
648	#380	C₂²×C₁₃₉	1	1	yes	characteristic
649	#380	C₂²×C₁₃₉	1	1	yes	characteristic
650	#380	C₂²×C₁₃₉	1	1	yes	characteristic
651	#380	C₂²×C₁₃₉	1	1	yes	characteristic
652	#380	C₂²×C₁₃₉	1	1	yes	characteristic
653	#380	C₂²×C₁₃₉	1	1	yes	characteristic
654	#380	C₂²×C₁₃₉	1	1	yes	characteristic
655	#380	C₂²×C₁₃₉	1	2	yes	complemented
656	#379	C₂²×C₁₃₉	1	2	yes	—
657	#379	C₂²×C₁₃₉	1	1	yes	characteristic
658	#379	C₂²×C₁₃₉	1	1	yes	characteristic
659	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
660	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
661	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
662	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
663	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
664	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
665	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
666	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
667	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
668	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
669	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
670	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
671	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
672	C₂³×C₄	—	2	4	no	—
673	C₂³×C₄	—	4	2	no	—
674	C₂³×C₄	—	4	2	no	—
675	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
676	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
677	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
678	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
679	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
680	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
681	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
682	C₄⋊Q₈	—	4	2	no	—
683	#126	—	4	4	no	—
684	#124	—	4	2	no	—
685	#124	—	4	4	no	—
686	C₂²⋊Q₈	—	2	4	no	—
687	C₂²⋊Q₈	—	4	2	no	—
688	C₂²⋊Q₈	—	4	2	no	—
689	#121	—	2	4	no	—
690	#121	—	4	2	no	—
691	#121	—	4	2	no	—
692	#120	—	4	4	no	—
693	C₄×Q₈	—	4	2	no	—
694	C₄×D₄	—	4	2	no	—
695	#117	—	4	2	no	—
696	#117	—	4	2	no	—
697	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
698	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
699	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
700	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
701	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
702	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
703	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
704	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
705	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
706	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
707	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
708	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
709	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
710	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
711	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
712	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
713	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
714	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
715	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
716	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
717	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
718	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
719	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
720	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
721	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
722	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
723	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
724	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
725	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
726	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
727	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
728	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
729	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
730	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
731	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
732	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
733	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
734	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
735	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
736	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
737	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
738	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
739	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
740	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
741	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
742	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
743	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
744	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
745	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
746	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
747	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
748	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
749	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
750	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
751	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
752	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
753	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
754	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
755	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
756	#95	C₂³×C₁₃₉	1	1	yes	characteristic
757	#95	C₂³×C₁₃₉	1	1	yes	characteristic
758	#95	C₂³×C₁₃₉	1	1	yes	characteristic
759	#95	C₂³×C₁₃₉	1	1	yes	characteristic
760	#95	C₂³×C₁₃₉	1	1	yes	characteristic
761	#95	C₂³×C₁₃₉	1	1	yes	characteristic
762	#95	C₂³×C₁₃₉	1	1	yes	characteristic
763	#95	C₂³×C₁₃₉	1	1	yes	characteristic
764	#95	C₂³×C₁₃₉	1	2	yes	—
765	#95	C₂³×C₁₃₉	1	2	yes	—
766	#95	C₂³×C₁₃₉	1	2	yes	—
767	#95	C₂³×C₁₃₉	1	2	yes	—
768	#95	C₂³×C₁₃₉	1	2	yes	—
769	#95	C₂³×C₁₃₉	1	2	yes	—
770	#95	C₂³×C₁₃₉	1	2	yes	—
771	#95	C₂³×C₁₃₉	1	2	yes	—
772	#95	C₂³×C₁₃₉	1	2	yes	—
773	#95	C₂³×C₁₃₉	1	2	yes	—
774	#95	C₂³×C₁₃₉	1	2	yes	—
775	#95	C₂³×C₁₃₉	1	2	yes	—
776	#95	C₂³×C₁₃₉	1	2	yes	—
777	#95	C₂³×C₁₃₉	1	2	yes	—
778	#95	C₂³×C₁₃₉	1	2	yes	—
779	#95	C₂³×C₁₃₉	1	2	yes	—
780	#95	C₂³×C₁₃₉	1	2	yes	—
781	#95	C₂³×C₁₃₉	1	2	yes	—
782	C₂⁴	—	2	2	no	—
783	C₂⁴	—	2	2	no	—
784	C₂⁴	—	2	2	no	—
785	C₂⁴	—	4	1	no	—
786	C₂⁴	—	4	1	no	—
787	C₂⁴	—	4	1	no	—
788	C₂⁴	—	4	1	no	—
789	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
790	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
791	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
792	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
793	C₂×Q₈	—	2	2	no	—
794	C₂×Q₈	—	2	2	no	—
795	C₂×Q₈	—	2	2	no	—
796	C₂×Q₈	—	4	2	no	—
797	C₂×Q₈	—	4	2	no	—
798	C₂×Q₈	—	4	2	no	—
799	C₂×D₄	—	2	4	no	—
800	C₂×D₄	—	2	4	no	—
801	C₂×D₄	—	2	4	no	—
802	C₂×D₄	—	2	2	no	—
803	C₂×D₄	—	2	2	no	—
804	C₂×D₄	—	2	2	no	—
805	C₂×D₄	—	4	2	no	—
806	C₂×D₄	—	4	2	no	—
807	C₂×D₄	—	4	2	no	—
808	C₂×D₄	—	4	2	no	—
809	C₂×D₄	—	4	2	no	—
810	C₂×D₄	—	4	2	no	—
811	C₂²×C₄	—	2	2	no	—
812	C₂²×C₄	—	2	2	no	—
813	C₂²×C₄	—	2	2	no	—
814	C₂²×C₄	—	2	2	no	—
815	C₂²×C₄	—	2	2	no	—
816	C₂²×C₄	—	2	2	no	—
817	C₂²×C₄	—	2	2	no	—
818	C₂²×C₄	—	2	2	no	—
819	C₂²×C₄	—	2	2	no	—
820	C₂²×C₄	—	2	2	no	—
821	C₂²×C₄	—	2	2	no	—
822	C₂²×C₄	—	4	1	no	—
823	C₂²×C₄	—	4	1	no	—
824	C₂²×C₄	—	4	1	no	—
825	C₂²×C₄	—	4	1	no	—
826	C₂²×C₄	—	4	1	no	—
827	C₂²×C₄	—	4	1	no	—
828	C₂²×C₄	—	4	2	no	—
829	C₂²×C₄	—	4	2	no	—
830	C₂²×C₄	—	4	2	no	—
831	C₂²×C₄	—	4	16	no	—
832	C₂²×C₄	#41×C₁₃₉	1	4	yes	—
833	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
834	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
835	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
836	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
837	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
838	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
839	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
840	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
841	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
842	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
843	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
844	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
845	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
846	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
847	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
848	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
849	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
850	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
851	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
852	C₄⋊C₄	—	2	2	no	—
853	C₄⋊C₄	—	2	2	no	—
854	C₄⋊C₄	—	2	4	no	—
855	C₄⋊C₄	—	2	2	no	—
856	C₄⋊C₄	—	2	2	no	—
857	C₄⋊C₄	—	2	2	no	—
858	C₄⋊C₄	—	2	2	no	—
859	C₄⋊C₄	—	4	2	no	—
860	C₄⋊C₄	—	4	2	no	—
861	C₄⋊C₄	—	4	2	no	—
862	C₄⋊C₄	—	4	1	no	—
863	C₄⋊C₄	—	4	1	no	—
864	C₄⋊C₄	—	4	1	no	—
865	C₄⋊C₄	—	4	1	no	—
866	C₄⋊C₄	—	4	2	no	—
867	C₄⋊C₄	—	4	2	no	—
868	C₄⋊C₄	—	4	2	no	—
869	C₄⋊C₄	—	4	2	no	—
870	C₄⋊C₄	—	4	2	no	—
871	C₄⋊C₄	—	4	2	no	—
872	C₄⋊C₄	—	4	2	no	—
873	C₂²⋊C₄	—	2	4	no	—
874	C₂²⋊C₄	—	2	4	no	—
875	C₂²⋊C₄	—	2	2	no	—
876	C₂²⋊C₄	—	2	4	no	—
877	C₂²⋊C₄	—	2	2	no	—
878	C₂²⋊C₄	—	2	2	no	—
879	C₂²⋊C₄	—	2	2	no	—
880	C₂²⋊C₄	—	2	4	no	—
881	C₂²⋊C₄	—	4	2	no	—
882	C₂²⋊C₄	—	4	2	no	—
883	C₂²⋊C₄	—	4	1	no	—
884	C₂²⋊C₄	—	4	1	no	—
885	C₂²⋊C₄	—	4	2	no	—
886	C₂²⋊C₄	—	4	2	no	—
887	C₂²⋊C₄	—	4	1	no	—
888	C₂²⋊C₄	—	4	1	no	—
889	C₂²⋊C₄	—	4	1	no	—
890	C₂²⋊C₄	—	4	1	no	—
891	C₂²⋊C₄	—	4	1	no	—
892	C₂²⋊C₄	—	4	1	no	—
893	C₂²⋊C₄	—	4	2	no	—
894	C₂²⋊C₄	—	4	2	no	—
895	C₂²⋊C₄	—	4	2	no	—
896	C₂²⋊C₄	—	4	2	no	—
897	C₂²⋊C₄	—	4	2	no	—
898	C₂²⋊C₄	—	4	2	no	—
899	C₂²⋊C₄	—	4	2	no	—
900	C₂²⋊C₄	—	4	2	no	—
901	C₂²⋊C₄	—	4	2	no	—
902	C₂²⋊C₄	—	4	2	no	—
903	C₂²⋊C₄	—	4	2	no	—
904	C₄²	—	2	2	no	—
905	C₄²	—	2	2	no	—
906	C₄²	—	2	2	no	—
907	C₄²	—	2	2	no	—
908	C₄²	—	4	2	no	—
909	C₄²	—	4	2	no	—
910	C₄²	—	4	2	no	—
911	C₂³	—	2	1	no	—
912	C₂³	—	2	1	no	—
913	C₂³	—	2	1	no	—
914	C₂³	—	2	1	no	—
915	C₂³	—	2	1	no	—
916	C₂³	—	2	1	no	—
917	C₂³	—	2	1	no	—
918	C₂³	—	2	1	no	—
919	C₂³	—	2	1	no	—
920	C₂³	—	2	1	no	—
921	C₂³	—	2	1	no	—
922	C₂³	—	2	1	no	—
923	C₂³	—	2	1	no	—
924	C₂³	—	2	1	no	—
925	C₂³	—	2	1	no	—
926	C₂³	—	2	1	no	—
927	C₂³	—	2	1	no	—
928	C₂³	—	2	1	no	—
929	C₂³	—	2	2	no	—
930	C₂³	—	2	2	no	—
931	C₂³	—	2	2	no	—
932	C₂³	—	2	2	no	—
933	C₂³	—	2	2	no	—
934	C₂³	—	2	2	no	—
935	C₂³	—	2	2	no	—
936	C₂³	—	4	4	no	—
937	C₂³	—	4	4	no	—
938	C₂³	—	4	4	no	—
939	C₂³	—	4	4	no	—
940	C₂³	—	4	4	no	—
941	C₂³	—	4	4	no	—
942	C₂³	—	4	4	no	—
943	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
944	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
945	C₂³	2₋¹⁺⁴×C₁₃₉	1	2	yes	—
946	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
947	Q₈	—	4	4	no	—
948	Q₈	—	8	4	no	—
949	D₄	—	4	4	no	—
950	D₄	—	8	4	no	—
951	D₄	—	8	4	no	—
952	D₄	—	8	4	no	—
953	C₂×C₄	—	2	1	no	—
954	C₂×C₄	—	2	1	no	—
955	C₂×C₄	—	2	8	no	—
956	C₂×C₄	—	2	2	no	—
957	C₂×C₄	—	2	2	no	—
958	C₂×C₄	—	2	2	no	—
959	C₂×C₄	—	2	1	no	—
960	C₂×C₄	—	2	1	no	—
961	C₂×C₄	—	2	1	no	—
962	C₂×C₄	—	2	1	no	—
963	C₂×C₄	—	2	1	no	—
964	C₂×C₄	—	2	1	no	—
965	C₂×C₄	—	2	1	no	—
966	C₂×C₄	—	2	1	no	—
967	C₂×C₄	—	2	1	no	—
968	C₂×C₄	—	2	1	no	—
969	C₂×C₄	—	2	1	no	—
970	C₂×C₄	—	2	1	no	—
971	C₂×C₄	—	2	2	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	2	no	—
974	C₂×C₄	—	2	2	no	—
975	C₂×C₄	—	2	2	no	—
976	C₂×C₄	—	2	2	no	—
977	C₂×C₄	—	2	1	no	—
978	C₂×C₄	—	2	2	no	—
979	C₂×C₄	—	2	1	no	—
980	C₂×C₄	—	2	2	no	—
981	C₂×C₄	—	2	2	no	—
982	C₂×C₄	—	2	1	no	—
983	C₂×C₄	—	2	1	no	—
984	C₂×C₄	—	2	2	no	—
985	C₂×C₄	—	2	2	no	—
986	C₂×C₄	—	2	1	no	—
987	C₂×C₄	—	2	1	no	—
988	C₂×C₄	—	2	1	no	—
989	C₂×C₄	—	2	1	no	—
990	C₂×C₄	—	2	1	no	—
991	C₂×C₄	—	2	1	no	—
992	C₂×C₄	—	2	2	no	—
993	C₂×C₄	—	2	1	no	—
994	C₂×C₄	—	2	1	no	—
995	C₂×C₄	—	2	2	no	—
996	C₂×C₄	—	2	2	no	—
997	C₂×C₄	—	2	1	no	—
998	C₂×C₄	—	2	1	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	2	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	1	no	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	2	2	no	—
1007	C₂×C₄	—	4	4	no	—
1008	C₂×C₄	—	4	4	no	—
1009	C₂×C₄	—	4	4	no	—
1010	C₂×C₄	—	4	4	no	—
1011	C₂×C₄	—	4	4	no	—
1012	C₂×C₄	—	8	4	no	—
1013	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1014	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1015	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1016	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1017	C₂²	—	2	2	no	—
1018	C₂²	—	2	2	no	—
1019	C₂²	—	2	2	no	—
1020	C₂²	—	2	2	no	—
1021	C₂²	—	2	2	no	—
1022	C₂²	—	2	2	no	—
1023	C₂²	—	2	2	no	—
1024	C₂²	—	2	2	no	—
1025	C₂²	—	2	2	no	—
1026	C₂²	—	4	16	no	—
1027	C₂²	—	4	1	no	—
1028	C₂²	—	4	1	no	—
1029	C₂²	—	4	1	no	—
1030	C₂²	—	4	1	no	—
1031	C₂²	—	4	1	no	—
1032	C₂²	—	4	1	no	—
1033	C₂²	—	4	1	no	—
1034	C₂²	—	4	1	no	—
1035	C₂²	—	4	1	no	—
1036	C₂²	—	4	1	no	—
1037	C₂²	—	4	1	no	—
1038	C₂²	—	4	1	no	—
1039	C₂²	—	4	2	no	—
1040	C₂²	—	4	2	no	—
1041	C₂²	—	4	2	no	—
1042	C₂²	—	4	2	no	—
1043	C₂²	—	4	2	no	—
1044	C₂²	—	4	2	no	—
1045	C₂²	—	4	2	no	—
1046	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1047	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1048	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1049	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1050	C₂²	C₂×2₋¹⁺⁴×C₁₃₉	1	1	yes	characteristic
1051	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1052	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1053	C₄	—	2	2	no	—
1054	C₄	—	4	2	no	—
1055	C₄	—	4	1	no	—
1056	C₄	—	4	1	no	—
1057	C₄	—	4	1	no	—
1058	C₄	—	4	2	no	—
1059	C₄	—	4	1	no	—
1060	C₄	—	4	1	no	—
1061	C₄	—	4	1	no	—
1062	C₄	—	4	2	no	—
1063	C₄	—	4	1	no	—
1064	C₄	—	4	2	no	—
1065	C₄	—	4	1	no	—
1066	C₄	—	4	1	no	—
1067	C₄	—	4	1	no	—
1068	C₄	—	4	2	no	—
1069	C₄	—	4	2	no	—
1070	C₄	—	4	2	no	—
1071	C₄	#538×C₁₃₉	1	4	yes	—
1072	C₂	—	4	2	no	—
1073	C₂	—	4	2	no	—
1074	C₂	—	4	2	no	—
1075	C₂	—	8	2	no	—
1076	C₂	C₂×#538×C₁₃₉	1	1	yes	characteristic
1077	C₂	#3494×C₁₃₉	1	1	yes	characteristic
1078	C₂	#3495×C₁₃₉	1	1	yes	characteristic
1079	C₂	#3536×C₁₃₉	1	1	yes	characteristic
1080	C₂	#3540×C₁₃₉	1	1	yes	characteristic
1081	C₂	#3541×C₁₃₉	1	1	yes	characteristic
1082	C₂	#3542×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. #2848×C₁₃₉	C₂	semidirect
3. #2784×C₁₃₉	C₂	semidirect
4. #2779×C₁₃₉	C₂	semidirect
5. #2751×C₁₃₉	C₂	semidirect
6. #2750×C₁₃₉	C₂	semidirect
7. #2743×C₁₃₉	C₂	semidirect
8. #2715×C₁₃₉	C₂	semidirect
9. #2685×C₁₃₉	C₂	semidirect
10. #2684×C₁₃₉	C₂	semidirect
11. #2628×C₁₃₉	C₂	semidirect
12. #2620×C₁₃₉	C₂	semidirect
13. #2497×C₁₃₉	C₂	semidirect
14. #2496×C₁₃₉	C₂	semidirect
15. #2492×C₁₃₉	C₂	semidirect
16. #2491×C₁₃₉	C₂	semidirect
17. #2427×C₁₃₉	C₂	semidirect
18. #2426×C₁₃₉	C₂	semidirect
19. #2421×C₁₃₉	C₂	semidirect
20. #2420×C₁₃₉	C₂	semidirect
21. #2324×C₁₃₉	C₂	semidirect
22. #2323×C₁₃₉	C₂	semidirect
23. #2280×C₁₃₉	C₂	semidirect
25. C₂×C₄⋊Q₈×C₁₃₉	C₂²	semidirect
28. C₂×#124×C₁₃₉	C₂²	semidirect
36. C₂×C₄×Q₈×C₁₃₉	C₂²	semidirect
37. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
40. #400×C₁₃₉	C₂²	semidirect
41. #400×C₁₃₉	C₂²	semidirect
42. #400×C₁₃₉	C₂²	semidirect
43. #400×C₁₃₉	C₂²	semidirect
44. #400×C₁₃₉	C₂²	semidirect
48. #397×C₁₃₉	C₂²	semidirect
49. #397×C₁₃₉	C₂²	semidirect
51. #396×C₁₃₉	C₂²	semidirect
52. #396×C₁₃₉	C₂²	semidirect
53. #396×C₁₃₉	C₂²	semidirect
54. #395×C₁₃₉	C₂²	semidirect
63. #393×C₁₃₉	C₂²	semidirect
64. #391×C₁₃₉	C₂²	semidirect
65. #391×C₁₃₉	C₂²	semidirect
66. #391×C₁₃₉	C₂²	semidirect
69. #390×C₁₃₉	C₂²	semidirect
70. #390×C₁₃₉	C₂²	semidirect
71. #389×C₁₃₉	C₂²	semidirect
72. #389×C₁₃₉	C₂²	semidirect
73. #389×C₁₃₉	C₂²	semidirect
74. #389×C₁₃₉	C₂²	semidirect
75. #389×C₁₃₉	C₂²	semidirect
81. #388×C₁₃₉	C₂²	semidirect
82. #388×C₁₃₉	C₂²	semidirect
83. #388×C₁₃₉	C₂²	semidirect
84. #387×C₁₃₉	C₂²	semidirect
85. #387×C₁₃₉	C₂²	semidirect
86. #387×C₁₃₉	C₂²	semidirect
87. #387×C₁₃₉	C₂²	semidirect
97. #385×C₁₃₉	C₂²	semidirect
98. #384×C₁₃₉	C₂²	semidirect
99. #382×C₁₃₉	C₂²	semidirect
102. #381×C₁₃₉	C₂²	semidirect
113. #380×C₁₃₉	C₂²	semidirect
117. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
118. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
541. #37282	C₁₃₉	direct (N × H)
542. C₁₃₉	#37282	direct (N × H)
543. #2848	C₂×C₁₃₉	semidirect
545. #2784	C₂×C₁₃₉	semidirect
546. #2779	C₂×C₁₃₉	semidirect
547. #2751	C₂×C₁₃₉	semidirect
548. #2750	C₂×C₁₃₉	semidirect
549. #2743	C₂×C₁₃₉	semidirect
550. #2715	C₂×C₁₃₉	semidirect
551. #2685	C₂×C₁₃₉	semidirect
552. #2684	C₂×C₁₃₉	semidirect
553. #2628	C₂×C₁₃₉	semidirect
554. #2620	C₂×C₁₃₉	semidirect
555. #2497	C₂×C₁₃₉	semidirect
556. #2496	C₂×C₁₃₉	semidirect
557. #2492	C₂×C₁₃₉	semidirect
558. #2491	C₂×C₁₃₉	semidirect
559. #2427	C₂×C₁₃₉	semidirect
560. #2426	C₂×C₁₃₉	semidirect
561. #2421	C₂×C₁₃₉	semidirect
562. #2420	C₂×C₁₃₉	semidirect
563. #2324	C₂×C₁₃₉	semidirect
564. #2323	C₂×C₁₃₉	semidirect
565. #2280	C₂×C₁₃₉	semidirect
567. C₂×C₄⋊Q₈	C₂²×C₁₃₉	semidirect
570. C₂×#124	C₂²×C₁₃₉	semidirect
578. C₂×C₄×Q₈	C₂²×C₁₃₉	semidirect
579. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
582. #400	C₂²×C₁₃₉	semidirect
583. #400	C₂²×C₁₃₉	semidirect
584. #400	C₂²×C₁₃₉	semidirect
585. #400	C₂²×C₁₃₉	semidirect
586. #400	C₂²×C₁₃₉	semidirect
590. #397	C₂²×C₁₃₉	semidirect
591. #397	C₂²×C₁₃₉	semidirect
593. #396	C₂²×C₁₃₉	semidirect
594. #396	C₂²×C₁₃₉	semidirect
595. #396	C₂²×C₁₃₉	semidirect
596. #395	C₂²×C₁₃₉	semidirect
605. #393	C₂²×C₁₃₉	semidirect
606. #391	C₂²×C₁₃₉	semidirect
607. #391	C₂²×C₁₃₉	semidirect
608. #391	C₂²×C₁₃₉	semidirect
611. #390	C₂²×C₁₃₉	semidirect
612. #390	C₂²×C₁₃₉	semidirect
613. #389	C₂²×C₁₃₉	semidirect
614. #389	C₂²×C₁₃₉	semidirect
615. #389	C₂²×C₁₃₉	semidirect
616. #389	C₂²×C₁₃₉	semidirect
617. #389	C₂²×C₁₃₉	semidirect
623. #388	C₂²×C₁₃₉	semidirect
624. #388	C₂²×C₁₃₉	semidirect
625. #388	C₂²×C₁₃₉	semidirect
626. #387	C₂²×C₁₃₉	semidirect
627. #387	C₂²×C₁₃₉	semidirect
628. #387	C₂²×C₁₃₉	semidirect
629. #387	C₂²×C₁₃₉	semidirect
639. #385	C₂²×C₁₃₉	semidirect
640. #384	C₂²×C₁₃₉	semidirect
641. #382	C₂²×C₁₃₉	semidirect
644. #381	C₂²×C₁₃₉	semidirect
655. #380	C₂²×C₁₃₉	semidirect
659. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
660. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
#2848×C₁₃₉	2
#2847×C₁₃₉	2
#2784×C₁₃₉	2
#2779×C₁₃₉	2
#2751×C₁₃₉	2
#2750×C₁₃₉	2
#2743×C₁₃₉	2
#2715×C₁₃₉	2
#2685×C₁₃₉	2
#2684×C₁₃₉	2
#2628×C₁₃₉	2
#2620×C₁₃₉	2
#2497×C₁₃₉	2
#2496×C₁₃₉	2
#2492×C₁₃₉	2
#2491×C₁₃₉	2
#2427×C₁₃₉	2
#2426×C₁₃₉	2
#2421×C₁₃₉	2
#2420×C₁₃₉	2
#2324×C₁₃₉	2
#2323×C₁₃₉	2
#2280×C₁₃₉	2
#37282	139

Subgroups — C139×#37282 #48031878

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#37282 #48031878