Subgroups — C₁₃₉×#36203 #48030799

Order 35584.

2164 conjugacy classes of subgroups.

The subgroup lattice has 1102 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#2857×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	#2854×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2847×C₁₃₉	C₂	1	1	yes	maximal, characteristic
4	#2572×C₁₃₉	C₂	1	2	yes	maximal, complemented
5	#2534×C₁₃₉	C₂	1	2	yes	maximal, complemented
6	#2526×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2518×C₁₃₉	C₂	1	2	yes	maximal, complemented
8	#2500×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2497×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
10	#2495×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
11	#2491×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
12	#2488×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2472×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2439×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#2420×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2372×C₁₃₉	C₂	1	2	yes	maximal, complemented
17	#2363×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
18	#2353×C₁₃₉	C₂	1	2	yes	maximal, complemented
19	#2346×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×#121×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	#2283×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	#2280×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	C₂×C₄⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
26	C₂×#124×C₁₃₉	C₂²	1	2	yes	—
27	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
28	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
29	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
30	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
31	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
32	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
33	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
34	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
35	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
36	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
38	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
39	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
40	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
41	#400×C₁₃₉	C₂²	1	2	yes	complemented
42	#400×C₁₃₉	C₂²	1	2	yes	complemented
43	#397×C₁₃₉	C₂²	1	2	yes	—
44	#397×C₁₃₉	C₂²	1	2	yes	complemented
45	#396×C₁₃₉	C₂²	1	2	yes	—
46	#396×C₁₃₉	C₂²	1	2	yes	—
47	#394×C₁₃₉	C₂²	1	2	yes	—
48	#394×C₁₃₉	C₂²	1	2	yes	—
49	#394×C₁₃₉	C₂²	1	2	yes	—
50	#394×C₁₃₉	C₂²	1	2	yes	—
51	#393×C₁₃₉	C₂²	1	2	yes	—
52	#393×C₁₃₉	C₂²	1	2	yes	complemented
53	#391×C₁₃₉	C₂²	1	2	yes	complemented
54	#391×C₁₃₉	C₂²	1	2	yes	complemented
55	#390×C₁₃₉	C₂²	1	2	yes	—
56	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
57	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
58	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
59	#389×C₁₃₉	C₂²	1	2	yes	complemented
60	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
61	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
62	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
63	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
64	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
65	#388×C₁₃₉	C₂²	1	2	yes	—
66	#388×C₁₃₉	C₂²	1	2	yes	—
67	#388×C₁₃₉	C₂²	1	2	yes	—
68	#388×C₁₃₉	C₂²	1	2	yes	—
69	#388×C₁₃₉	C₂²	1	2	yes	complemented
70	#388×C₁₃₉	C₂²	1	2	yes	complemented
71	#388×C₁₃₉	C₂²	1	2	yes	complemented
72	#388×C₁₃₉	C₂²	1	2	yes	complemented
73	#388×C₁₃₉	C₂²	1	2	yes	complemented
74	#388×C₁₃₉	C₂²	1	2	yes	complemented
75	#388×C₁₃₉	C₂²	1	2	yes	complemented
76	#387×C₁₃₉	C₂²	1	2	yes	complemented
77	#387×C₁₃₉	C₂²	1	2	yes	complemented
78	#386×C₁₃₉	C₂²	1	2	yes	—
79	#386×C₁₃₉	C₂²	1	2	yes	—
80	#386×C₁₃₉	C₂²	1	2	yes	—
81	#386×C₁₃₉	C₂²	1	2	yes	—
82	#386×C₁₃₉	C₂²	1	2	yes	—
83	#386×C₁₃₉	C₂²	1	2	yes	—
84	#386×C₁₃₉	C₂²	1	2	yes	—
85	#384×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
86	#383×C₁₃₉	C₂²	1	2	yes	complemented
87	#383×C₁₃₉	C₂²	1	2	yes	complemented
88	#382×C₁₃₉	C₂²	1	2	yes	complemented
89	#382×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
90	#382×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
91	#381×C₁₃₉	C₂²	1	2	yes	—
92	#381×C₁₃₉	C₂²	1	2	yes	—
93	#381×C₁₃₉	C₂²	1	2	yes	complemented
94	#380×C₁₃₉	C₂²	1	2	yes	—
95	#380×C₁₃₉	C₂²	1	1	yes	characteristic
96	#380×C₁₃₉	C₂²	1	1	yes	characteristic
97	#380×C₁₃₉	C₂²	1	1	yes	characteristic
98	#380×C₁₃₉	C₂²	1	1	yes	characteristic
99	#380×C₁₃₉	C₂²	1	1	yes	characteristic
100	#380×C₁₃₉	C₂²	1	1	yes	characteristic
101	#380×C₁₃₉	C₂²	1	1	yes	characteristic
102	#379×C₁₃₉	C₂²	1	2	yes	—
103	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
104	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
105	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
106	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
107	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
108	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
109	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
110	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
111	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
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	2	yes	—
116	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
117	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
118	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
119	#376×C₁₃₉	C₂²	1	2	yes	complemented
120	#376×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	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
124	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
125	C₂²×D₄×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	C₂³×C₄×C₁₃₉	—	2	4	no	—
130	C₂³×C₄×C₁₃₉	—	2	4	no	—
131	C₂³×C₄×C₁₃₉	—	4	2	no	—
132	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
140	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
142	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
143	C₄⋊Q₈×C₁₃₉	—	4	2	no	—
144	#124×C₁₃₉	—	2	8	no	—
145	#123×C₁₃₉	—	4	4	no	—
146	C₂²⋊Q₈×C₁₃₉	—	4	4	no	—
147	#121×C₁₃₉	—	2	4	no	—
148	#121×C₁₃₉	—	2	4	no	—
149	#121×C₁₃₉	—	4	2	no	—
150	#120×C₁₃₉	—	4	4	no	—
151	C₄×D₄×C₁₃₉	—	2	8	no	—
152	C₄×D₄×C₁₃₉	—	4	2	no	—
153	#117×C₁₃₉	—	2	4	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	2	yes	—
168	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
169	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
170	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
171	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
172	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
173	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
174	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
175	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
176	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
177	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
178	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
179	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
180	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
181	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
182	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
183	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
184	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
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	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	1	yes	characteristic
199	C₂×C₄²×C₁₃₉	—	2	4	no	—
200	C₂×C₄²×C₁₃₉	—	4	2	no	—
201	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
202	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
203	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
204	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
205	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
206	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
208	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
209	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
210	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
219	#95×C₁₃₉	C₂³	1	1	yes	characteristic
220	#95×C₁₃₉	C₂³	1	2	yes	—
221	#95×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
226	#95×C₁₃₉	C₂³	1	1	yes	characteristic
227	#95×C₁₃₉	C₂³	1	1	yes	characteristic
228	#95×C₁₃₉	C₂³	1	1	yes	characteristic
229	#95×C₁₃₉	C₂³	1	1	yes	characteristic
230	#95×C₁₃₉	C₂³	1	1	yes	characteristic
231	#95×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
238	#95×C₁₃₉	C₂³	1	2	yes	—
239	#95×C₁₃₉	C₂³	1	2	yes	—
240	#95×C₁₃₉	C₂³	1	2	yes	—
241	C₂⁴×C₁₃₉	—	2	2	no	—
242	C₂⁴×C₁₃₉	—	2	2	no	—
243	C₂⁴×C₁₃₉	—	2	2	no	—
244	C₂⁴×C₁₃₉	—	2	2	no	—
245	C₂⁴×C₁₃₉	—	2	2	no	—
246	C₂⁴×C₁₃₉	—	4	1	no	—
247	C₂⁴×C₁₃₉	—	4	1	no	—
248	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
249	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
250	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
251	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
252	C₂×Q₈×C₁₃₉	—	2	4	no	—
253	C₂×Q₈×C₁₃₉	—	4	2	no	—
254	C₂×Q₈×C₁₃₉	—	4	2	no	—
255	C₂×D₄×C₁₃₉	—	2	4	no	—
256	C₂×D₄×C₁₃₉	—	2	4	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	C₂²×C₄×C₁₃₉	—	2	2	no	—
268	C₂²×C₄×C₁₃₉	—	2	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	—	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	2	no	—
285	C₂²×C₄×C₁₃₉	—	2	2	no	—
286	C₂²×C₄×C₁₃₉	—	2	2	no	—
287	C₂²×C₄×C₁₃₉	—	2	4	no	—
288	C₂²×C₄×C₁₃₉	—	4	1	no	—
289	C₂²×C₄×C₁₃₉	—	4	1	no	—
290	C₂²×C₄×C₁₃₉	—	4	1	no	—
291	C₂²×C₄×C₁₃₉	—	4	1	no	—
292	C₂²×C₄×C₁₃₉	—	4	1	no	—
293	C₂²×C₄×C₁₃₉	—	4	1	no	—
294	C₂²×C₄×C₁₃₉	—	4	1	no	—
295	C₂²×C₄×C₁₃₉	—	4	16	no	—
296	C₂²×C₄×C₁₃₉	—	4	2	no	—
297	C₂²×C₄×C₁₃₉	—	4	2	no	—
298	C₂²×C₄×C₁₃₉	#41	1	4	yes	—
299	C₂²×C₄×C₁₃₉	#41	1	4	yes	—
300	C₂²×C₄×C₁₃₉	#41	1	4	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	2	yes	—
304	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
305	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
306	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
307	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
308	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
309	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
310	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
311	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
312	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
313	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
314	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
315	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
316	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
317	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
318	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
319	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
320	C₄⋊C₄×C₁₃₉	—	2	2	no	—
321	C₄⋊C₄×C₁₃₉	—	2	2	no	—
322	C₄⋊C₄×C₁₃₉	—	2	4	no	—
323	C₄⋊C₄×C₁₃₉	—	2	2	no	—
324	C₄⋊C₄×C₁₃₉	—	2	2	no	—
325	C₄⋊C₄×C₁₃₉	—	2	2	no	—
326	C₄⋊C₄×C₁₃₉	—	2	2	no	—
327	C₄⋊C₄×C₁₃₉	—	2	2	no	—
328	C₄⋊C₄×C₁₃₉	—	4	2	no	—
329	C₄⋊C₄×C₁₃₉	—	4	2	no	—
330	C₄⋊C₄×C₁₃₉	—	4	2	no	—
331	C₄⋊C₄×C₁₃₉	—	4	2	no	—
332	C₄⋊C₄×C₁₃₉	—	4	2	no	—
333	C₄⋊C₄×C₁₃₉	—	4	2	no	—
334	C₄⋊C₄×C₁₃₉	—	4	2	no	—
335	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
336	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
337	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
338	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
339	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
340	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
341	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
342	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
343	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
344	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
345	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
346	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
347	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
348	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
349	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
350	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
351	C₂²⋊C₄×C₁₃₉	—	2	4	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	#41	1	4	yes	—
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	—	2	4	no	—
367	C₄²×C₁₃₉	—	2	4	no	—
368	C₄²×C₁₃₉	—	2	4	no	—
369	C₄²×C₁₃₉	—	2	2	no	—
370	C₄²×C₁₃₉	—	2	2	no	—
371	C₄²×C₁₃₉	—	4	1	no	—
372	C₄²×C₁₃₉	—	4	1	no	—
373	C₄²×C₁₃₉	—	4	2	no	—
374	C₄²×C₁₃₉	—	4	2	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	8	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	1	no	—
388	C₂³×C₁₃₉	—	2	1	no	—
389	C₂³×C₁₃₉	—	2	1	no	—
390	C₂³×C₁₃₉	—	2	1	no	—
391	C₂³×C₁₃₉	—	2	1	no	—
392	C₂³×C₁₃₉	—	2	2	no	—
393	C₂³×C₁₃₉	—	2	2	no	—
394	C₂³×C₁₃₉	—	2	2	no	—
395	C₂³×C₁₃₉	—	2	2	no	—
396	C₂³×C₁₃₉	—	2	2	no	—
397	C₂³×C₁₃₉	—	2	2	no	—
398	C₂³×C₁₃₉	—	2	2	no	—
399	C₂³×C₁₃₉	—	4	4	no	—
400	C₂³×C₁₃₉	—	4	4	no	—
401	C₂³×C₁₃₉	—	4	4	no	—
402	C₂³×C₁₃₉	—	4	4	no	—
403	C₂³×C₁₃₉	—	4	4	no	—
404	C₂³×C₁₃₉	—	4	4	no	—
405	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
406	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
407	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
408	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
409	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
410	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
411	Q₈×C₁₃₉	—	8	4	no	—
412	D₄×C₁₃₉	—	4	8	no	—
413	D₄×C₁₃₉	—	4	4	no	—
414	D₄×C₁₃₉	—	8	4	no	—
415	D₄×C₁₃₉	—	8	4	no	—
416	C₂×C₄×C₁₃₉	—	2	1	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	8	no	—
429	C₂×C₄×C₁₃₉	—	2	8	no	—
430	C₂×C₄×C₁₃₉	—	2	1	no	—
431	C₂×C₄×C₁₃₉	—	2	1	no	—
432	C₂×C₄×C₁₃₉	—	2	1	no	—
433	C₂×C₄×C₁₃₉	—	2	2	no	—
434	C₂×C₄×C₁₃₉	—	2	2	no	—
435	C₂×C₄×C₁₃₉	—	2	2	no	—
436	C₂×C₄×C₁₃₉	—	2	2	no	—
437	C₂×C₄×C₁₃₉	—	2	2	no	—
438	C₂×C₄×C₁₃₉	—	2	2	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	2	no	—
444	C₂×C₄×C₁₃₉	—	2	2	no	—
445	C₂×C₄×C₁₃₉	—	2	2	no	—
446	C₂×C₄×C₁₃₉	—	2	2	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	2	no	—
452	C₂×C₄×C₁₃₉	—	2	2	no	—
453	C₂×C₄×C₁₃₉	—	2	2	no	—
454	C₂×C₄×C₁₃₉	—	2	2	no	—
455	C₂×C₄×C₁₃₉	—	2	2	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	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	1	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	—	4	4	no	—
471	C₂×C₄×C₁₃₉	—	4	4	no	—
472	C₂×C₄×C₁₃₉	—	4	4	no	—
473	C₂×C₄×C₁₃₉	—	4	4	no	—
474	C₂×C₄×C₁₃₉	—	8	4	no	—
475	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
476	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
477	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
478	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
479	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
480	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
481	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
482	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
483	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
484	C₂²×C₁₃₉	—	2	2	no	—
485	C₂²×C₁₃₉	—	2	2	no	—
486	C₂²×C₁₃₉	—	2	2	no	—
487	C₂²×C₁₃₉	—	2	2	no	—
488	C₂²×C₁₃₉	—	2	2	no	—
489	C₂²×C₁₃₉	—	2	2	no	—
490	C₂²×C₁₃₉	—	2	2	no	—
491	C₂²×C₁₃₉	—	2	2	no	—
492	C₂²×C₁₃₉	—	2	2	no	—
493	C₂²×C₁₃₉	—	2	2	no	—
494	C₂²×C₁₃₉	—	2	2	no	—
495	C₂²×C₁₃₉	—	2	2	no	—
496	C₂²×C₁₃₉	—	4	16	no	—
497	C₂²×C₁₃₉	—	4	1	no	—
498	C₂²×C₁₃₉	—	4	1	no	—
499	C₂²×C₁₃₉	—	4	1	no	—
500	C₂²×C₁₃₉	—	4	1	no	—
501	C₂²×C₁₃₉	—	4	1	no	—
502	C₂²×C₁₃₉	—	4	1	no	—
503	C₂²×C₁₃₉	—	4	1	no	—
504	C₂²×C₁₃₉	—	4	1	no	—
505	C₂²×C₁₃₉	—	4	2	no	—
506	C₂²×C₁₃₉	—	4	2	no	—
507	C₂²×C₁₃₉	—	4	2	no	—
508	C₂²×C₁₃₉	—	4	2	no	—
509	C₂²×C₁₃₉	—	4	2	no	—
510	C₂²×C₁₃₉	—	4	2	no	—
511	C₂²×C₁₃₉	—	4	2	no	—
512	C₂²×C₁₃₉	#555	1	4	yes	—
513	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
514	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
515	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
516	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
517	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
518	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
519	C₂²×C₁₃₉	#585	1	1	yes	characteristic
520	C₄×C₁₃₉	—	2	2	no	—
521	C₄×C₁₃₉	—	2	2	no	—
522	C₄×C₁₃₉	—	2	2	no	—
523	C₄×C₁₃₉	—	2	2	no	—
524	C₄×C₁₃₉	—	2	2	no	—
525	C₄×C₁₃₉	—	2	2	no	—
526	C₄×C₁₃₉	—	4	2	no	—
527	C₄×C₁₃₉	—	4	1	no	—
528	C₄×C₁₃₉	—	4	1	no	—
529	C₄×C₁₃₉	—	4	1	no	—
530	C₄×C₁₃₉	—	4	2	no	—
531	C₄×C₁₃₉	—	4	1	no	—
532	C₄×C₁₃₉	—	4	2	no	—
533	C₄×C₁₃₉	—	4	2	no	—
534	C₄×C₁₃₉	—	4	2	no	—
535	C₄×C₁₃₉	—	4	1	no	—
536	C₄×C₁₃₉	—	4	2	no	—
537	C₄×C₁₃₉	—	4	2	no	—
538	C₄×C₁₃₉	#551	1	4	yes	—
539	C₂×C₁₃₉	—	2	4	no	—
540	C₂×C₁₃₉	—	4	2	no	—
541	C₂×C₁₃₉	—	4	2	no	—
542	C₂×C₁₃₉	—	8	2	no	—
543	C₂×C₁₃₉	#3444	1	1	yes	characteristic
544	C₂×C₁₃₉	C₂×#551	1	1	yes	characteristic
545	C₂×C₁₃₉	C₂×#555	1	1	yes	characteristic
546	C₂×C₁₃₉	#3475	1	1	yes	characteristic
547	C₂×C₁₃₉	#3494	1	1	yes	characteristic
548	C₂×C₁₃₉	#3505	1	1	yes	characteristic
549	C₂×C₁₃₉	#3519	1	1	yes	characteristic
550	#36203	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
551	C₁₃₉	#36203	1	1	yes	characteristic, direct product factor, Sylow
552	#2857	C₂×C₁₃₉	1	1	yes	characteristic, complemented
553	#2854	C₂×C₁₃₉	1	1	yes	characteristic, complemented
554	#2847	C₂×C₁₃₉	1	1	yes	characteristic
555	#2572	C₂×C₁₃₉	1	2	yes	complemented
556	#2534	C₂×C₁₃₉	1	2	yes	complemented
557	#2526	C₂×C₁₃₉	1	2	yes	complemented
558	#2518	C₂×C₁₃₉	1	2	yes	complemented
559	#2500	C₂×C₁₃₉	1	1	yes	characteristic, complemented
560	#2497	C₂×C₁₃₉	1	1	yes	characteristic, complemented
561	#2495	C₂×C₁₃₉	1	1	yes	characteristic, complemented
562	#2491	C₂×C₁₃₉	1	1	yes	characteristic, complemented
563	#2488	C₂×C₁₃₉	1	2	yes	complemented
564	#2472	C₂×C₁₃₉	1	2	yes	complemented
565	#2439	C₂×C₁₃₉	1	1	yes	characteristic, complemented
566	#2420	C₂×C₁₃₉	1	1	yes	characteristic, complemented
567	#2372	C₂×C₁₃₉	1	2	yes	complemented
568	#2363	C₂×C₁₃₉	1	1	yes	characteristic, complemented
569	#2353	C₂×C₁₃₉	1	2	yes	complemented
570	#2346	C₂×C₁₃₉	1	1	yes	characteristic, complemented
571	C₄×#121	C₂×C₁₃₉	1	1	yes	characteristic, complemented
572	#2283	C₂×C₁₃₉	1	1	yes	characteristic, complemented
573	#2280	C₂×C₁₃₉	1	1	yes	characteristic, complemented
574	C₂×C₄×C₂²⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
575	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic
576	C₂×C₄⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
577	C₂×#124	C₂²×C₁₃₉	1	2	yes	—
578	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
579	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
580	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
581	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
582	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
583	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
584	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
585	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
586	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
587	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic
588	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
589	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
590	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
591	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
592	#400	C₂²×C₁₃₉	1	2	yes	complemented
593	#400	C₂²×C₁₃₉	1	2	yes	complemented
594	#397	C₂²×C₁₃₉	1	2	yes	—
595	#397	C₂²×C₁₃₉	1	2	yes	complemented
596	#396	C₂²×C₁₃₉	1	2	yes	—
597	#396	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	#393	C₂²×C₁₃₉	1	2	yes	—
603	#393	C₂²×C₁₃₉	1	2	yes	complemented
604	#391	C₂²×C₁₃₉	1	2	yes	complemented
605	#391	C₂²×C₁₃₉	1	2	yes	complemented
606	#390	C₂²×C₁₃₉	1	2	yes	—
607	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
608	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
609	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
610	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
611	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
612	#389	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	#388	C₂²×C₁₃₉	1	2	yes	—
617	#388	C₂²×C₁₃₉	1	2	yes	—
618	#388	C₂²×C₁₃₉	1	2	yes	—
619	#388	C₂²×C₁₃₉	1	2	yes	—
620	#388	C₂²×C₁₃₉	1	2	yes	complemented
621	#388	C₂²×C₁₃₉	1	2	yes	complemented
622	#388	C₂²×C₁₃₉	1	2	yes	complemented
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	#388	C₂²×C₁₃₉	1	2	yes	complemented
627	#387	C₂²×C₁₃₉	1	2	yes	complemented
628	#387	C₂²×C₁₃₉	1	2	yes	complemented
629	#386	C₂²×C₁₃₉	1	2	yes	—
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	#384	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
637	#383	C₂²×C₁₃₉	1	2	yes	complemented
638	#383	C₂²×C₁₃₉	1	2	yes	complemented
639	#382	C₂²×C₁₃₉	1	2	yes	complemented
640	#382	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
641	#382	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
642	#381	C₂²×C₁₃₉	1	2	yes	—
643	#381	C₂²×C₁₃₉	1	2	yes	—
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	2	yes	—
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	#379	C₂²×C₁₃₉	1	2	yes	—
654	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
655	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
656	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
657	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
658	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
659	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
660	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
661	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
662	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
663	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
664	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
665	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
666	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
667	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
668	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
669	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
670	#376	C₂²×C₁₃₉	1	2	yes	complemented
671	#376	C₂²×C₁₃₉	1	2	yes	complemented
672	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
673	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic
674	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
675	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
676	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
677	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
678	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
679	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
680	C₂³×C₄	—	2	4	no	—
681	C₂³×C₄	—	2	4	no	—
682	C₂³×C₄	—	4	2	no	—
683	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
684	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
685	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
686	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
687	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
688	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
689	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
690	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
691	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
692	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
693	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
694	C₄⋊Q₈	—	4	2	no	—
695	#124	—	2	8	no	—
696	#123	—	4	4	no	—
697	C₂²⋊Q₈	—	4	4	no	—
698	#121	—	2	4	no	—
699	#121	—	2	4	no	—
700	#121	—	4	2	no	—
701	#120	—	4	4	no	—
702	C₄×D₄	—	2	8	no	—
703	C₄×D₄	—	4	2	no	—
704	#117	—	2	4	no	—
705	#117	—	4	2	no	—
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	1	yes	characteristic
709	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
710	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
711	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
712	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
713	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
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×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
719	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
720	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
721	C₂×C₂²⋊C₄	—	2	4	no	—
722	C₂×C₂²⋊C₄	—	2	4	no	—
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	2	yes	—
742	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
743	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
744	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
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×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
750	C₂×C₄²	—	2	4	no	—
751	C₂×C₄²	—	4	2	no	—
752	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
753	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
754	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
755	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
756	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
757	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
758	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
759	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
760	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
761	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
762	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
763	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
764	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
765	#95	C₂³×C₁₃₉	1	1	yes	characteristic
766	#95	C₂³×C₁₃₉	1	1	yes	characteristic
767	#95	C₂³×C₁₃₉	1	1	yes	characteristic
768	#95	C₂³×C₁₃₉	1	1	yes	characteristic
769	#95	C₂³×C₁₃₉	1	1	yes	characteristic
770	#95	C₂³×C₁₃₉	1	1	yes	characteristic
771	#95	C₂³×C₁₃₉	1	1	yes	characteristic
772	#95	C₂³×C₁₃₉	1	1	yes	characteristic
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	#95	C₂³×C₁₃₉	1	2	yes	—
783	#95	C₂³×C₁₃₉	1	2	yes	—
784	#95	C₂³×C₁₃₉	1	2	yes	—
785	#95	C₂³×C₁₃₉	1	2	yes	—
786	#95	C₂³×C₁₃₉	1	2	yes	—
787	#95	C₂³×C₁₃₉	1	2	yes	—
788	#95	C₂³×C₁₃₉	1	2	yes	—
789	#95	C₂³×C₁₃₉	1	2	yes	—
790	#95	C₂³×C₁₃₉	1	2	yes	—
791	#95	C₂³×C₁₃₉	1	2	yes	—
792	C₂⁴	—	2	2	no	—
793	C₂⁴	—	2	2	no	—
794	C₂⁴	—	2	2	no	—
795	C₂⁴	—	2	2	no	—
796	C₂⁴	—	2	2	no	—
797	C₂⁴	—	4	1	no	—
798	C₂⁴	—	4	1	no	—
799	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
800	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
801	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
802	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
803	C₂×Q₈	—	2	4	no	—
804	C₂×Q₈	—	4	2	no	—
805	C₂×Q₈	—	4	2	no	—
806	C₂×D₄	—	2	4	no	—
807	C₂×D₄	—	2	4	no	—
808	C₂×D₄	—	2	4	no	—
809	C₂×D₄	—	2	4	no	—
810	C₂×D₄	—	2	4	no	—
811	C₂×D₄	—	2	2	no	—
812	C₂×D₄	—	2	2	no	—
813	C₂×D₄	—	2	2	no	—
814	C₂×D₄	—	4	2	no	—
815	C₂×D₄	—	4	2	no	—
816	C₂×D₄	—	4	2	no	—
817	C₂×D₄	—	4	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	—	2	2	no	—
823	C₂²×C₄	—	2	2	no	—
824	C₂²×C₄	—	2	2	no	—
825	C₂²×C₄	—	2	2	no	—
826	C₂²×C₄	—	2	2	no	—
827	C₂²×C₄	—	2	2	no	—
828	C₂²×C₄	—	2	2	no	—
829	C₂²×C₄	—	2	2	no	—
830	C₂²×C₄	—	2	2	no	—
831	C₂²×C₄	—	2	2	no	—
832	C₂²×C₄	—	2	2	no	—
833	C₂²×C₄	—	2	2	no	—
834	C₂²×C₄	—	2	2	no	—
835	C₂²×C₄	—	2	2	no	—
836	C₂²×C₄	—	2	2	no	—
837	C₂²×C₄	—	2	2	no	—
838	C₂²×C₄	—	2	4	no	—
839	C₂²×C₄	—	4	1	no	—
840	C₂²×C₄	—	4	1	no	—
841	C₂²×C₄	—	4	1	no	—
842	C₂²×C₄	—	4	1	no	—
843	C₂²×C₄	—	4	1	no	—
844	C₂²×C₄	—	4	1	no	—
845	C₂²×C₄	—	4	1	no	—
846	C₂²×C₄	—	4	16	no	—
847	C₂²×C₄	—	4	2	no	—
848	C₂²×C₄	—	4	2	no	—
849	C₂²×C₄	#41×C₁₃₉	1	4	yes	—
850	C₂²×C₄	#41×C₁₃₉	1	4	yes	—
851	C₂²×C₄	#41×C₁₃₉	1	4	yes	—
852	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
853	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
854	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
855	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
856	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
857	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
858	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
859	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
860	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
861	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
862	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
863	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
864	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
865	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
866	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
867	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
868	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
869	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
870	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
871	C₄⋊C₄	—	2	2	no	—
872	C₄⋊C₄	—	2	2	no	—
873	C₄⋊C₄	—	2	4	no	—
874	C₄⋊C₄	—	2	2	no	—
875	C₄⋊C₄	—	2	2	no	—
876	C₄⋊C₄	—	2	2	no	—
877	C₄⋊C₄	—	2	2	no	—
878	C₄⋊C₄	—	2	2	no	—
879	C₄⋊C₄	—	4	2	no	—
880	C₄⋊C₄	—	4	2	no	—
881	C₄⋊C₄	—	4	2	no	—
882	C₄⋊C₄	—	4	2	no	—
883	C₄⋊C₄	—	4	2	no	—
884	C₄⋊C₄	—	4	2	no	—
885	C₄⋊C₄	—	4	2	no	—
886	C₂²⋊C₄	—	2	2	no	—
887	C₂²⋊C₄	—	2	4	no	—
888	C₂²⋊C₄	—	2	4	no	—
889	C₂²⋊C₄	—	2	4	no	—
890	C₂²⋊C₄	—	2	4	no	—
891	C₂²⋊C₄	—	2	4	no	—
892	C₂²⋊C₄	—	2	2	no	—
893	C₂²⋊C₄	—	2	2	no	—
894	C₂²⋊C₄	—	2	2	no	—
895	C₂²⋊C₄	—	2	2	no	—
896	C₂²⋊C₄	—	2	2	no	—
897	C₂²⋊C₄	—	2	2	no	—
898	C₂²⋊C₄	—	2	4	no	—
899	C₂²⋊C₄	—	2	4	no	—
900	C₂²⋊C₄	—	2	4	no	—
901	C₂²⋊C₄	—	2	4	no	—
902	C₂²⋊C₄	—	2	4	no	—
903	C₂²⋊C₄	—	4	2	no	—
904	C₂²⋊C₄	—	4	2	no	—
905	C₂²⋊C₄	—	4	2	no	—
906	C₂²⋊C₄	—	4	2	no	—
907	C₂²⋊C₄	—	4	2	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	#41×C₁₃₉	1	4	yes	—
913	C₄²	—	2	2	no	—
914	C₄²	—	2	2	no	—
915	C₄²	—	2	2	no	—
916	C₄²	—	2	2	no	—
917	C₄²	—	2	4	no	—
918	C₄²	—	2	4	no	—
919	C₄²	—	2	4	no	—
920	C₄²	—	2	2	no	—
921	C₄²	—	2	2	no	—
922	C₄²	—	4	1	no	—
923	C₄²	—	4	1	no	—
924	C₄²	—	4	2	no	—
925	C₄²	—	4	2	no	—
926	C₂³	—	2	1	no	—
927	C₂³	—	2	1	no	—
928	C₂³	—	2	1	no	—
929	C₂³	—	2	1	no	—
930	C₂³	—	2	8	no	—
931	C₂³	—	2	1	no	—
932	C₂³	—	2	1	no	—
933	C₂³	—	2	1	no	—
934	C₂³	—	2	1	no	—
935	C₂³	—	2	1	no	—
936	C₂³	—	2	1	no	—
937	C₂³	—	2	1	no	—
938	C₂³	—	2	1	no	—
939	C₂³	—	2	1	no	—
940	C₂³	—	2	1	no	—
941	C₂³	—	2	1	no	—
942	C₂³	—	2	1	no	—
943	C₂³	—	2	2	no	—
944	C₂³	—	2	2	no	—
945	C₂³	—	2	2	no	—
946	C₂³	—	2	2	no	—
947	C₂³	—	2	2	no	—
948	C₂³	—	2	2	no	—
949	C₂³	—	2	2	no	—
950	C₂³	—	4	4	no	—
951	C₂³	—	4	4	no	—
952	C₂³	—	4	4	no	—
953	C₂³	—	4	4	no	—
954	C₂³	—	4	4	no	—
955	C₂³	—	4	4	no	—
956	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
957	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
958	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
959	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
960	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
961	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
962	Q₈	—	8	4	no	—
963	D₄	—	4	8	no	—
964	D₄	—	4	4	no	—
965	D₄	—	8	4	no	—
966	D₄	—	8	4	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	1	no	—
972	C₂×C₄	—	2	1	no	—
973	C₂×C₄	—	2	1	no	—
974	C₂×C₄	—	2	1	no	—
975	C₂×C₄	—	2	1	no	—
976	C₂×C₄	—	2	1	no	—
977	C₂×C₄	—	2	1	no	—
978	C₂×C₄	—	2	1	no	—
979	C₂×C₄	—	2	8	no	—
980	C₂×C₄	—	2	8	no	—
981	C₂×C₄	—	2	1	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	2	no	—
987	C₂×C₄	—	2	2	no	—
988	C₂×C₄	—	2	2	no	—
989	C₂×C₄	—	2	2	no	—
990	C₂×C₄	—	2	1	no	—
991	C₂×C₄	—	2	1	no	—
992	C₂×C₄	—	2	1	no	—
993	C₂×C₄	—	2	1	no	—
994	C₂×C₄	—	2	2	no	—
995	C₂×C₄	—	2	2	no	—
996	C₂×C₄	—	2	2	no	—
997	C₂×C₄	—	2	2	no	—
998	C₂×C₄	—	2	1	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	1	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	2	no	—
1003	C₂×C₄	—	2	2	no	—
1004	C₂×C₄	—	2	2	no	—
1005	C₂×C₄	—	2	2	no	—
1006	C₂×C₄	—	2	2	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	2	1	no	—
1009	C₂×C₄	—	2	2	no	—
1010	C₂×C₄	—	2	1	no	—
1011	C₂×C₄	—	2	2	no	—
1012	C₂×C₄	—	2	1	no	—
1013	C₂×C₄	—	2	2	no	—
1014	C₂×C₄	—	2	2	no	—
1015	C₂×C₄	—	2	2	no	—
1016	C₂×C₄	—	2	1	no	—
1017	C₂×C₄	—	4	4	no	—
1018	C₂×C₄	—	4	4	no	—
1019	C₂×C₄	—	4	4	no	—
1020	C₂×C₄	—	4	4	no	—
1021	C₂×C₄	—	4	4	no	—
1022	C₂×C₄	—	4	4	no	—
1023	C₂×C₄	—	4	4	no	—
1024	C₂×C₄	—	4	4	no	—
1025	C₂×C₄	—	8	4	no	—
1026	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1027	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1028	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1029	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1030	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1031	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1032	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1033	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1034	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1035	C₂²	—	2	2	no	—
1036	C₂²	—	2	2	no	—
1037	C₂²	—	2	2	no	—
1038	C₂²	—	2	2	no	—
1039	C₂²	—	2	2	no	—
1040	C₂²	—	2	2	no	—
1041	C₂²	—	2	2	no	—
1042	C₂²	—	2	2	no	—
1043	C₂²	—	2	2	no	—
1044	C₂²	—	2	2	no	—
1045	C₂²	—	2	2	no	—
1046	C₂²	—	2	2	no	—
1047	C₂²	—	4	16	no	—
1048	C₂²	—	4	1	no	—
1049	C₂²	—	4	1	no	—
1050	C₂²	—	4	1	no	—
1051	C₂²	—	4	1	no	—
1052	C₂²	—	4	1	no	—
1053	C₂²	—	4	1	no	—
1054	C₂²	—	4	1	no	—
1055	C₂²	—	4	1	no	—
1056	C₂²	—	4	2	no	—
1057	C₂²	—	4	2	no	—
1058	C₂²	—	4	2	no	—
1059	C₂²	—	4	2	no	—
1060	C₂²	—	4	2	no	—
1061	C₂²	—	4	2	no	—
1062	C₂²	—	4	2	no	—
1063	C₂²	#555×C₁₃₉	1	4	yes	—
1064	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1065	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1066	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1067	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1068	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1069	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1070	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1071	C₄	—	2	2	no	—
1072	C₄	—	2	2	no	—
1073	C₄	—	2	2	no	—
1074	C₄	—	2	2	no	—
1075	C₄	—	2	2	no	—
1076	C₄	—	2	2	no	—
1077	C₄	—	4	2	no	—
1078	C₄	—	4	1	no	—
1079	C₄	—	4	1	no	—
1080	C₄	—	4	1	no	—
1081	C₄	—	4	2	no	—
1082	C₄	—	4	1	no	—
1083	C₄	—	4	2	no	—
1084	C₄	—	4	2	no	—
1085	C₄	—	4	2	no	—
1086	C₄	—	4	1	no	—
1087	C₄	—	4	2	no	—
1088	C₄	—	4	2	no	—
1089	C₄	#551×C₁₃₉	1	4	yes	—
1090	C₂	—	2	4	no	—
1091	C₂	—	4	2	no	—
1092	C₂	—	4	2	no	—
1093	C₂	—	8	2	no	—
1094	C₂	#3444×C₁₃₉	1	1	yes	characteristic
1095	C₂	C₂×#551×C₁₃₉	1	1	yes	characteristic
1096	C₂	C₂×#555×C₁₃₉	1	1	yes	characteristic
1097	C₂	#3475×C₁₃₉	1	1	yes	characteristic
1098	C₂	#3494×C₁₃₉	1	1	yes	characteristic
1099	C₂	#3505×C₁₃₉	1	1	yes	characteristic
1100	C₂	#3519×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. #2857×C₁₃₉	C₂	semidirect
2. #2854×C₁₃₉	C₂	semidirect
4. #2572×C₁₃₉	C₂	semidirect
5. #2534×C₁₃₉	C₂	semidirect
6. #2526×C₁₃₉	C₂	semidirect
7. #2518×C₁₃₉	C₂	semidirect
8. #2500×C₁₃₉	C₂	semidirect
9. #2497×C₁₃₉	C₂	semidirect
10. #2495×C₁₃₉	C₂	semidirect
11. #2491×C₁₃₉	C₂	semidirect
12. #2488×C₁₃₉	C₂	semidirect
13. #2472×C₁₃₉	C₂	semidirect
14. #2439×C₁₃₉	C₂	semidirect
15. #2420×C₁₃₉	C₂	semidirect
16. #2372×C₁₃₉	C₂	semidirect
17. #2363×C₁₃₉	C₂	semidirect
18. #2353×C₁₃₉	C₂	semidirect
19. #2346×C₁₃₉	C₂	semidirect
20. C₄×#121×C₁₃₉	C₂	semidirect
21. #2283×C₁₃₉	C₂	semidirect
22. #2280×C₁₃₉	C₂	semidirect
23. C₂×C₄×C₂²⋊C₄×C₁₃₉	C₂	semidirect
25. C₂×C₄⋊Q₈×C₁₃₉	C₂²	semidirect
34. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
41. #400×C₁₃₉	C₂²	semidirect
42. #400×C₁₃₉	C₂²	semidirect
44. #397×C₁₃₉	C₂²	semidirect
52. #393×C₁₃₉	C₂²	semidirect
53. #391×C₁₃₉	C₂²	semidirect
54. #391×C₁₃₉	C₂²	semidirect
56. #390×C₁₃₉	C₂²	semidirect
57. #390×C₁₃₉	C₂²	semidirect
58. #390×C₁₃₉	C₂²	semidirect
59. #389×C₁₃₉	C₂²	semidirect
60. #389×C₁₃₉	C₂²	semidirect
61. #389×C₁₃₉	C₂²	semidirect
62. #389×C₁₃₉	C₂²	semidirect
63. #389×C₁₃₉	C₂²	semidirect
64. #389×C₁₃₉	C₂²	semidirect
69. #388×C₁₃₉	C₂²	semidirect
70. #388×C₁₃₉	C₂²	semidirect
71. #388×C₁₃₉	C₂²	semidirect
72. #388×C₁₃₉	C₂²	semidirect
73. #388×C₁₃₉	C₂²	semidirect
74. #388×C₁₃₉	C₂²	semidirect
75. #388×C₁₃₉	C₂²	semidirect
76. #387×C₁₃₉	C₂²	semidirect
77. #387×C₁₃₉	C₂²	semidirect
85. #384×C₁₃₉	C₂²	semidirect
86. #383×C₁₃₉	C₂²	semidirect
87. #383×C₁₃₉	C₂²	semidirect
88. #382×C₁₃₉	C₂²	semidirect
89. #382×C₁₃₉	C₂²	semidirect
90. #382×C₁₃₉	C₂²	semidirect
93. #381×C₁₃₉	C₂²	semidirect
103. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
104. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
105. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
117. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
118. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
119. #376×C₁₃₉	C₂²	semidirect
120. #376×C₁₃₉	C₂²	semidirect
550. #36203	C₁₃₉	direct (N × H)
551. C₁₃₉	#36203	direct (N × H)
552. #2857	C₂×C₁₃₉	semidirect
553. #2854	C₂×C₁₃₉	semidirect
555. #2572	C₂×C₁₃₉	semidirect
556. #2534	C₂×C₁₃₉	semidirect
557. #2526	C₂×C₁₃₉	semidirect
558. #2518	C₂×C₁₃₉	semidirect
559. #2500	C₂×C₁₃₉	semidirect
560. #2497	C₂×C₁₃₉	semidirect
561. #2495	C₂×C₁₃₉	semidirect
562. #2491	C₂×C₁₃₉	semidirect
563. #2488	C₂×C₁₃₉	semidirect
564. #2472	C₂×C₁₃₉	semidirect
565. #2439	C₂×C₁₃₉	semidirect
566. #2420	C₂×C₁₃₉	semidirect
567. #2372	C₂×C₁₃₉	semidirect
568. #2363	C₂×C₁₃₉	semidirect
569. #2353	C₂×C₁₃₉	semidirect
570. #2346	C₂×C₁₃₉	semidirect
571. C₄×#121	C₂×C₁₃₉	semidirect
572. #2283	C₂×C₁₃₉	semidirect
573. #2280	C₂×C₁₃₉	semidirect
574. C₂×C₄×C₂²⋊C₄	C₂×C₁₃₉	semidirect
576. C₂×C₄⋊Q₈	C₂²×C₁₃₉	semidirect
585. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
592. #400	C₂²×C₁₃₉	semidirect
593. #400	C₂²×C₁₃₉	semidirect
595. #397	C₂²×C₁₃₉	semidirect
603. #393	C₂²×C₁₃₉	semidirect
604. #391	C₂²×C₁₃₉	semidirect
605. #391	C₂²×C₁₃₉	semidirect
607. #390	C₂²×C₁₃₉	semidirect
608. #390	C₂²×C₁₃₉	semidirect
609. #390	C₂²×C₁₃₉	semidirect
610. #389	C₂²×C₁₃₉	semidirect
611. #389	C₂²×C₁₃₉	semidirect
612. #389	C₂²×C₁₃₉	semidirect
613. #389	C₂²×C₁₃₉	semidirect
614. #389	C₂²×C₁₃₉	semidirect
615. #389	C₂²×C₁₃₉	semidirect
620. #388	C₂²×C₁₃₉	semidirect
621. #388	C₂²×C₁₃₉	semidirect
622. #388	C₂²×C₁₃₉	semidirect
623. #388	C₂²×C₁₃₉	semidirect
624. #388	C₂²×C₁₃₉	semidirect
625. #388	C₂²×C₁₃₉	semidirect
626. #388	C₂²×C₁₃₉	semidirect
627. #387	C₂²×C₁₃₉	semidirect
628. #387	C₂²×C₁₃₉	semidirect
636. #384	C₂²×C₁₃₉	semidirect
637. #383	C₂²×C₁₃₉	semidirect
638. #383	C₂²×C₁₃₉	semidirect
639. #382	C₂²×C₁₃₉	semidirect
640. #382	C₂²×C₁₃₉	semidirect
641. #382	C₂²×C₁₃₉	semidirect
644. #381	C₂²×C₁₃₉	semidirect
654. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
655. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
656. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
668. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
669. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
670. #376	C₂²×C₁₃₉	semidirect
671. #376	C₂²×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
#2857×C₁₃₉	2
#2854×C₁₃₉	2
#2847×C₁₃₉	2
#2572×C₁₃₉	2
#2534×C₁₃₉	2
#2526×C₁₃₉	2
#2518×C₁₃₉	2
#2500×C₁₃₉	2
#2497×C₁₃₉	2
#2495×C₁₃₉	2
#2491×C₁₃₉	2
#2488×C₁₃₉	2
#2472×C₁₃₉	2
#2439×C₁₃₉	2
#2420×C₁₃₉	2
#2372×C₁₃₉	2
#2363×C₁₃₉	2
#2353×C₁₃₉	2
#2346×C₁₃₉	2
C₄×#121×C₁₃₉	2
#2283×C₁₃₉	2
#2280×C₁₃₉	2
C₂×C₄×C₂²⋊C₄×C₁₃₉	2
#36203	139

Subgroups — C139×#36203 #48030799

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36203 #48030799