Subgroups — C₁₃₉×#36107 #48030703

Order 35584.

3032 conjugacy classes of subgroups.

The subgroup lattice has 1242 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#529×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#121×C₁₃₉	C₂	1	1	yes	maximal, characteristic
3	#2854×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2850×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2848×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2559×C₁₃₉	C₂	1	2	yes	maximal, complemented
7	#2490×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2480×C₁₃₉	C₂	1	2	yes	maximal, complemented
9	#2476×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2444×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2442×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
12	#2435×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
13	#2427×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#2426×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#2425×C₁₃₉	C₂	1	2	yes	maximal, complemented
16	#2420×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2405×C₁₃₉	C₂	1	2	yes	maximal, complemented
18	#2360×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#2342×C₁₃₉	C₂	1	2	yes	maximal, complemented
20	D₄×C₂²⋊C₄×C₁₃₉	C₂	1	2	yes	maximal, complemented
21	D₄×C₂²⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#121×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×C₂²⋊C₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂³×D₄×C₁₃₉	C₂²	1	2	yes	—
25	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
26	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic
27	#529×C₁₃₉	—	2	8	no	—
28	C₂×#126×C₁₃₉	C₂²	1	2	yes	complemented
29	C₂×#125×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
30	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
31	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
32	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
33	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
34	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
35	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
37	C₂×#121×C₁₃₉	—	2	8	no	—
38	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
39	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
40	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
41	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
42	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
43	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
44	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
47	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
48	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
49	C₂×#117×C₁₃₉	C₂²	1	2	yes	complemented
50	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
51	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
52	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
53	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
54	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
55	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
56	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
57	#400×C₁₃₉	C₂²	1	2	yes	complemented
58	#398×C₁₃₉	C₂²	1	2	yes	complemented
59	#397×C₁₃₉	C₂²	1	2	yes	complemented
60	#397×C₁₃₉	C₂²	1	2	yes	complemented
61	#397×C₁₃₉	C₂²	1	2	yes	complemented
62	#396×C₁₃₉	C₂²	1	2	yes	complemented
63	#394×C₁₃₉	C₂²	1	2	yes	complemented
64	#394×C₁₃₉	C₂²	1	2	yes	complemented
65	#394×C₁₃₉	C₂²	1	2	yes	complemented
66	#394×C₁₃₉	C₂²	1	2	yes	complemented
67	#394×C₁₃₉	C₂²	1	2	yes	complemented
68	#394×C₁₃₉	C₂²	1	2	yes	complemented
69	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
70	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
71	#390×C₁₃₉	C₂²	1	2	yes	complemented
72	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
73	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
74	#390×C₁₃₉	C₂²	1	2	yes	complemented
75	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
76	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
77	#389×C₁₃₉	C₂²	1	2	yes	complemented
78	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
79	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
80	#388×C₁₃₉	C₂²	1	2	yes	complemented
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	#388×C₁₃₉	C₂²	1	2	yes	complemented
85	#388×C₁₃₉	C₂²	1	2	yes	complemented
86	#388×C₁₃₉	C₂²	1	2	yes	complemented
87	#387×C₁₃₉	C₂²	1	2	yes	complemented
88	#386×C₁₃₉	C₂²	1	2	yes	complemented
89	#386×C₁₃₉	C₂²	1	2	yes	complemented
90	#386×C₁₃₉	C₂²	1	2	yes	complemented
91	#386×C₁₃₉	C₂²	1	2	yes	complemented
92	#386×C₁₃₉	C₂²	1	2	yes	complemented
93	#386×C₁₃₉	C₂²	1	2	yes	complemented
94	#386×C₁₃₉	C₂²	1	2	yes	complemented
95	#386×C₁₃₉	C₂²	1	2	yes	complemented
96	#385×C₁₃₉	C₂²	1	2	yes	—
97	#385×C₁₃₉	C₂²	1	2	yes	—
98	#385×C₁₃₉	C₂²	1	2	yes	—
99	#385×C₁₃₉	C₂²	1	2	yes	complemented
100	#385×C₁₃₉	C₂²	1	2	yes	complemented
101	#382×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
102	#381×C₁₃₉	C₂²	1	2	yes	complemented
103	#380×C₁₃₉	C₂²	1	1	yes	characteristic
104	#380×C₁₃₉	C₂²	1	2	yes	—
105	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
106	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
107	#380×C₁₃₉	C₂²	1	2	yes	complemented
108	#379×C₁₃₉	C₂²	1	2	yes	—
109	#379×C₁₃₉	C₂²	1	2	yes	—
110	#379×C₁₃₉	C₂²	1	2	yes	—
111	#379×C₁₃₉	C₂²	1	2	yes	—
112	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
113	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
114	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
115	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
116	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
117	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
118	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
119	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
120	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
121	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
122	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
123	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
124	C₂×#95×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
125	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
126	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
127	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
128	C₂²×D₄×C₁₃₉	—	2	8	no	—
129	C₂²×D₄×C₁₃₉	—	2	4	no	—
130	C₂²×D₄×C₁₃₉	—	2	8	no	—
131	C₂²×D₄×C₁₃₉	—	2	4	no	—
132	C₂²×D₄×C₁₃₉	—	4	2	no	—
133	C₂²×D₄×C₁₃₉	—	4	4	no	—
134	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
135	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
136	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
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	1	yes	characteristic
141	C₂³×C₄×C₁₃₉	—	2	4	no	—
142	C₂³×C₄×C₁₃₉	—	2	4	no	—
143	C₂³×C₄×C₁₃₉	—	4	2	no	—
144	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
145	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
146	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
147	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
148	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
149	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
150	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
151	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
152	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
153	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
154	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
155	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
156	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
157	#126×C₁₃₉	—	2	8	no	—
158	#125×C₁₃₉	—	2	4	no	—
159	#124×C₁₃₉	—	2	4	no	—
160	#124×C₁₃₉	—	4	2	no	—
161	#123×C₁₃₉	—	2	8	no	—
162	#123×C₁₃₉	—	4	4	no	—
163	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
164	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
165	C₂²⋊Q₈×C₁₃₉	—	4	2	no	—
166	#121×C₁₃₉	—	2	4	no	—
167	#121×C₁₃₉	—	2	8	no	—
168	#121×C₁₃₉	—	2	4	no	—
169	#121×C₁₃₉	—	2	4	no	—
170	#121×C₁₃₉	—	2	8	no	—
171	#121×C₁₃₉	D₄	1	8	yes	—
172	C₄×Q₈×C₁₃₉	—	2	4	no	—
173	C₄×D₄×C₁₃₉	—	2	4	no	—
174	C₄×D₄×C₁₃₉	—	2	8	no	—
175	C₄×D₄×C₁₃₉	—	4	2	no	—
176	C₄×D₄×C₁₃₉	—	4	4	no	—
177	#117×C₁₃₉	—	2	8	no	—
178	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
179	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
180	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
181	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
182	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
183	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
184	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
185	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
186	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
187	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
188	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
189	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
190	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
191	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
192	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
193	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
194	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
195	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
196	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
197	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
198	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
199	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
200	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
201	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
202	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
203	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
204	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	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	1	yes	characteristic
208	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
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	2	yes	—
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	2	yes	—
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	2	yes	—
229	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₁₃₉	—	2	4	no	—
231	C₂×C₄²×C₁₃₉	—	4	2	no	—
232	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
233	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
235	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
236	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
237	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
238	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
239	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
240	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
241	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
242	#95×C₁₃₉	C₂³	1	1	yes	characteristic
243	#95×C₁₃₉	C₂³	1	1	yes	characteristic
244	#95×C₁₃₉	C₂³	1	2	yes	—
245	#95×C₁₃₉	C₂³	1	2	yes	—
246	#95×C₁₃₉	C₂³	1	2	yes	—
247	#95×C₁₃₉	C₂³	1	2	yes	—
248	#95×C₁₃₉	C₂³	1	2	yes	—
249	#95×C₁₃₉	C₂³	1	1	yes	characteristic
250	#95×C₁₃₉	C₂³	1	2	yes	—
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	1	yes	characteristic
255	#95×C₁₃₉	C₂³	1	1	yes	characteristic
256	#95×C₁₃₉	C₂³	1	1	yes	characteristic
257	#95×C₁₃₉	C₂³	1	1	yes	characteristic
258	#95×C₁₃₉	C₂³	1	2	yes	—
259	#95×C₁₃₉	C₂³	1	2	yes	—
260	#95×C₁₃₉	C₂³	1	2	yes	—
261	C₂⁴×C₁₃₉	—	2	2	no	—
262	C₂⁴×C₁₃₉	—	2	2	no	—
263	C₂⁴×C₁₃₉	—	2	2	no	—
264	C₂⁴×C₁₃₉	—	2	2	no	—
265	C₂⁴×C₁₃₉	—	2	4	no	—
266	C₂⁴×C₁₃₉	—	2	4	no	—
267	C₂⁴×C₁₃₉	—	2	4	no	—
268	C₂⁴×C₁₃₉	—	2	4	no	—
269	C₂⁴×C₁₃₉	—	4	1	no	—
270	C₂⁴×C₁₃₉	—	4	1	no	—
271	C₂⁴×C₁₃₉	—	4	2	no	—
272	C₂⁴×C₁₃₉	—	4	2	no	—
273	C₂⁴×C₁₃₉	—	4	2	no	—
274	C₂⁴×C₁₃₉	#41	1	4	yes	—
275	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
276	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
277	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
278	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
279	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
280	C₂×Q₈×C₁₃₉	—	2	2	no	—
281	C₂×Q₈×C₁₃₉	—	2	2	no	—
282	C₂×Q₈×C₁₃₉	—	2	2	no	—
283	C₂×D₄×C₁₃₉	—	2	4	no	—
284	C₂×D₄×C₁₃₉	—	2	4	no	—
285	C₂×D₄×C₁₃₉	—	2	4	no	—
286	C₂×D₄×C₁₃₉	—	2	4	no	—
287	C₂×D₄×C₁₃₉	—	2	4	no	—
288	C₂×D₄×C₁₃₉	—	2	4	no	—
289	C₂×D₄×C₁₃₉	—	2	4	no	—
290	C₂×D₄×C₁₃₉	—	2	4	no	—
291	C₂×D₄×C₁₃₉	—	2	4	no	—
292	C₂×D₄×C₁₃₉	—	2	4	no	—
293	C₂×D₄×C₁₃₉	—	2	2	no	—
294	C₂×D₄×C₁₃₉	—	2	2	no	—
295	C₂×D₄×C₁₃₉	—	2	4	no	—
296	C₂×D₄×C₁₃₉	—	2	2	no	—
297	C₂×D₄×C₁₃₉	—	2	2	no	—
298	C₂×D₄×C₁₃₉	—	2	2	no	—
299	C₂×D₄×C₁₃₉	—	4	16	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	32	no	—
304	C₂×D₄×C₁₃₉	C₂×D₄	1	8	yes	—
305	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
306	C₂²×C₄×C₁₃₉	—	2	2	no	—
307	C₂²×C₄×C₁₃₉	—	2	2	no	—
308	C₂²×C₄×C₁₃₉	—	2	2	no	—
309	C₂²×C₄×C₁₃₉	—	2	2	no	—
310	C₂²×C₄×C₁₃₉	—	2	2	no	—
311	C₂²×C₄×C₁₃₉	—	2	2	no	—
312	C₂²×C₄×C₁₃₉	—	2	4	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	2	no	—
317	C₂²×C₄×C₁₃₉	—	2	4	no	—
318	C₂²×C₄×C₁₃₉	—	2	2	no	—
319	C₂²×C₄×C₁₃₉	—	2	2	no	—
320	C₂²×C₄×C₁₃₉	—	2	2	no	—
321	C₂²×C₄×C₁₃₉	—	2	4	no	—
322	C₂²×C₄×C₁₃₉	—	2	2	no	—
323	C₂²×C₄×C₁₃₉	—	2	2	no	—
324	C₂²×C₄×C₁₃₉	—	2	2	no	—
325	C₂²×C₄×C₁₃₉	—	2	2	no	—
326	C₂²×C₄×C₁₃₉	—	2	4	no	—
327	C₂²×C₄×C₁₃₉	—	2	2	no	—
328	C₂²×C₄×C₁₃₉	—	2	2	no	—
329	C₂²×C₄×C₁₃₉	—	2	2	no	—
330	C₂²×C₄×C₁₃₉	—	2	2	no	—
331	C₂²×C₄×C₁₃₉	—	2	4	no	—
332	C₂²×C₄×C₁₃₉	—	4	1	no	—
333	C₂²×C₄×C₁₃₉	—	4	1	no	—
334	C₂²×C₄×C₁₃₉	—	4	1	no	—
335	C₂²×C₄×C₁₃₉	—	4	1	no	—
336	C₂²×C₄×C₁₃₉	—	4	1	no	—
337	C₂²×C₄×C₁₃₉	—	4	1	no	—
338	C₂²×C₄×C₁₃₉	—	4	2	no	—
339	C₂²×C₄×C₁₃₉	—	4	1	no	—
340	C₂²×C₄×C₁₃₉	—	4	2	no	—
341	C₂²×C₄×C₁₃₉	—	4	16	no	—
342	C₂²×C₄×C₁₃₉	—	4	2	no	—
343	C₂²×C₄×C₁₃₉	—	4	2	no	—
344	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
345	C₂²×C₄×C₁₃₉	#41	1	4	yes	—
346	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
347	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
348	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
350	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
351	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
353	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
354	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
355	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
356	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
357	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
358	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
360	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
361	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
363	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
364	C₄⋊C₄×C₁₃₉	—	2	4	no	—
365	C₄⋊C₄×C₁₃₉	—	2	2	no	—
366	C₄⋊C₄×C₁₃₉	—	2	4	no	—
367	C₄⋊C₄×C₁₃₉	—	2	4	no	—
368	C₄⋊C₄×C₁₃₉	—	2	2	no	—
369	C₄⋊C₄×C₁₃₉	—	2	4	no	—
370	C₄⋊C₄×C₁₃₉	—	2	4	no	—
371	C₄⋊C₄×C₁₃₉	—	2	2	no	—
372	C₄⋊C₄×C₁₃₉	—	2	4	no	—
373	C₄⋊C₄×C₁₃₉	—	2	2	no	—
374	C₄⋊C₄×C₁₃₉	—	4	2	no	—
375	C₄⋊C₄×C₁₃₉	—	4	2	no	—
376	C₄⋊C₄×C₁₃₉	—	4	2	no	—
377	C₄⋊C₄×C₁₃₉	—	4	2	no	—
378	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
379	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
380	C₂²⋊C₄×C₁₃₉	—	2	4	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	—	2	2	no	—
386	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
387	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
388	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
389	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
390	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
391	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
392	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
393	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
394	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
395	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
396	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
397	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
398	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
399	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
400	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
401	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
402	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
403	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
404	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
405	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
406	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
407	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
408	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
409	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	8	yes	—
410	C₂²⋊C₄×C₁₃₉	#41	1	4	yes	—
411	C₄²×C₁₃₉	—	2	2	no	—
412	C₄²×C₁₃₉	—	2	2	no	—
413	C₄²×C₁₃₉	—	2	2	no	—
414	C₄²×C₁₃₉	—	2	2	no	—
415	C₄²×C₁₃₉	—	2	4	no	—
416	C₄²×C₁₃₉	—	2	2	no	—
417	C₄²×C₁₃₉	—	2	2	no	—
418	C₄²×C₁₃₉	—	4	1	no	—
419	C₄²×C₁₃₉	—	4	1	no	—
420	C₄²×C₁₃₉	—	4	2	no	—
421	C₂³×C₁₃₉	—	2	1	no	—
422	C₂³×C₁₃₉	—	2	1	no	—
423	C₂³×C₁₃₉	—	2	1	no	—
424	C₂³×C₁₃₉	—	2	1	no	—
425	C₂³×C₁₃₉	—	2	1	no	—
426	C₂³×C₁₃₉	—	2	1	no	—
427	C₂³×C₁₃₉	—	2	1	no	—
428	C₂³×C₁₃₉	—	2	1	no	—
429	C₂³×C₁₃₉	—	2	8	no	—
430	C₂³×C₁₃₉	—	2	8	no	—
431	C₂³×C₁₃₉	—	2	1	no	—
432	C₂³×C₁₃₉	—	2	1	no	—
433	C₂³×C₁₃₉	—	2	1	no	—
434	C₂³×C₁₃₉	—	2	2	no	—
435	C₂³×C₁₃₉	—	2	2	no	—
436	C₂³×C₁₃₉	—	2	2	no	—
437	C₂³×C₁₃₉	—	2	1	no	—
438	C₂³×C₁₃₉	—	2	2	no	—
439	C₂³×C₁₃₉	—	2	2	no	—
440	C₂³×C₁₃₉	—	2	1	no	—
441	C₂³×C₁₃₉	—	2	1	no	—
442	C₂³×C₁₃₉	—	2	2	no	—
443	C₂³×C₁₃₉	—	2	2	no	—
444	C₂³×C₁₃₉	—	2	2	no	—
445	C₂³×C₁₃₉	—	2	2	no	—
446	C₂³×C₁₃₉	—	2	2	no	—
447	C₂³×C₁₃₉	—	2	2	no	—
448	C₂³×C₁₃₉	—	2	2	no	—
449	C₂³×C₁₃₉	—	2	2	no	—
450	C₂³×C₁₃₉	—	4	4	no	—
451	C₂³×C₁₃₉	—	4	4	no	—
452	C₂³×C₁₃₉	—	4	4	no	—
453	C₂³×C₁₃₉	—	4	4	no	—
454	C₂³×C₁₃₉	—	4	4	no	—
455	C₂³×C₁₃₉	—	4	8	no	—
456	C₂³×C₁₃₉	—	4	8	no	—
457	C₂³×C₁₃₉	—	4	8	no	—
458	C₂³×C₁₃₉	—	4	8	no	—
459	C₂³×C₁₃₉	—	8	4	no	—
460	C₂³×C₁₃₉	—	8	4	no	—
461	C₂³×C₁₃₉	—	8	4	no	—
462	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
463	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
464	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
465	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
466	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
467	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
468	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
469	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
470	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
471	Q₈×C₁₃₉	—	4	4	no	—
472	D₄×C₁₃₉	—	2	16	no	—
473	D₄×C₁₃₉	—	2	8	no	—
474	D₄×C₁₃₉	—	4	8	no	—
475	D₄×C₁₃₉	—	4	8	no	—
476	D₄×C₁₃₉	—	4	8	no	—
477	D₄×C₁₃₉	—	4	8	no	—
478	D₄×C₁₃₉	—	4	4	no	—
479	C₂×C₄×C₁₃₉	—	2	1	no	—
480	C₂×C₄×C₁₃₉	—	2	1	no	—
481	C₂×C₄×C₁₃₉	—	2	1	no	—
482	C₂×C₄×C₁₃₉	—	2	2	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	2	no	—
487	C₂×C₄×C₁₃₉	—	2	1	no	—
488	C₂×C₄×C₁₃₉	—	2	1	no	—
489	C₂×C₄×C₁₃₉	—	2	8	no	—
490	C₂×C₄×C₁₃₉	—	2	8	no	—
491	C₂×C₄×C₁₃₉	—	2	1	no	—
492	C₂×C₄×C₁₃₉	—	2	1	no	—
493	C₂×C₄×C₁₃₉	—	2	1	no	—
494	C₂×C₄×C₁₃₉	—	2	2	no	—
495	C₂×C₄×C₁₃₉	—	2	1	no	—
496	C₂×C₄×C₁₃₉	—	2	2	no	—
497	C₂×C₄×C₁₃₉	—	2	2	no	—
498	C₂×C₄×C₁₃₉	—	2	1	no	—
499	C₂×C₄×C₁₃₉	—	2	1	no	—
500	C₂×C₄×C₁₃₉	—	2	1	no	—
501	C₂×C₄×C₁₃₉	—	2	2	no	—
502	C₂×C₄×C₁₃₉	—	2	1	no	—
503	C₂×C₄×C₁₃₉	—	2	1	no	—
504	C₂×C₄×C₁₃₉	—	2	1	no	—
505	C₂×C₄×C₁₃₉	—	2	2	no	—
506	C₂×C₄×C₁₃₉	—	2	2	no	—
507	C₂×C₄×C₁₃₉	—	2	2	no	—
508	C₂×C₄×C₁₃₉	—	2	1	no	—
509	C₂×C₄×C₁₃₉	—	2	2	no	—
510	C₂×C₄×C₁₃₉	—	2	1	no	—
511	C₂×C₄×C₁₃₉	—	2	1	no	—
512	C₂×C₄×C₁₃₉	—	2	1	no	—
513	C₂×C₄×C₁₃₉	—	2	2	no	—
514	C₂×C₄×C₁₃₉	—	2	2	no	—
515	C₂×C₄×C₁₃₉	—	2	2	no	—
516	C₂×C₄×C₁₃₉	—	2	2	no	—
517	C₂×C₄×C₁₃₉	—	2	1	no	—
518	C₂×C₄×C₁₃₉	—	2	1	no	—
519	C₂×C₄×C₁₃₉	—	2	1	no	—
520	C₂×C₄×C₁₃₉	—	2	1	no	—
521	C₂×C₄×C₁₃₉	—	2	2	no	—
522	C₂×C₄×C₁₃₉	—	2	2	no	—
523	C₂×C₄×C₁₃₉	—	2	1	no	—
524	C₂×C₄×C₁₃₉	—	2	2	no	—
525	C₂×C₄×C₁₃₉	—	2	1	no	—
526	C₂×C₄×C₁₃₉	—	2	1	no	—
527	C₂×C₄×C₁₃₉	—	4	4	no	—
528	C₂×C₄×C₁₃₉	—	4	4	no	—
529	C₂×C₄×C₁₃₉	—	4	8	no	—
530	C₂×C₄×C₁₃₉	—	4	4	no	—
531	C₂×C₄×C₁₃₉	—	4	4	no	—
532	C₂×C₄×C₁₃₉	—	4	4	no	—
533	C₂×C₄×C₁₃₉	—	4	8	no	—
534	C₂×C₄×C₁₃₉	—	4	4	no	—
535	C₂×C₄×C₁₃₉	—	4	4	no	—
536	C₂×C₄×C₁₃₉	—	4	4	no	—
537	C₂×C₄×C₁₃₉	—	8	4	no	—
538	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
539	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
540	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
541	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
542	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
543	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
544	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
545	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
546	C₂²×C₁₃₉	—	2	2	no	—
547	C₂²×C₁₃₉	—	2	2	no	—
548	C₂²×C₁₃₉	—	2	2	no	—
549	C₂²×C₁₃₉	—	2	2	no	—
550	C₂²×C₁₃₉	—	2	2	no	—
551	C₂²×C₁₃₉	—	2	2	no	—
552	C₂²×C₁₃₉	—	2	2	no	—
553	C₂²×C₁₃₉	—	2	2	no	—
554	C₂²×C₁₃₉	—	2	2	no	—
555	C₂²×C₁₃₉	—	2	2	no	—
556	C₂²×C₁₃₉	—	2	2	no	—
557	C₂²×C₁₃₉	—	2	2	no	—
558	C₂²×C₁₃₉	—	2	2	no	—
559	C₂²×C₁₃₉	—	2	4	no	—
560	C₂²×C₁₃₉	—	2	4	no	—
561	C₂²×C₁₃₉	—	2	2	no	—
562	C₂²×C₁₃₉	—	2	4	no	—
563	C₂²×C₁₃₉	—	2	2	no	—
564	C₂²×C₁₃₉	—	4	16	no	—
565	C₂²×C₁₃₉	—	4	2	no	—
566	C₂²×C₁₃₉	—	4	1	no	—
567	C₂²×C₁₃₉	—	4	1	no	—
568	C₂²×C₁₃₉	—	4	1	no	—
569	C₂²×C₁₃₉	—	4	2	no	—
570	C₂²×C₁₃₉	—	4	2	no	—
571	C₂²×C₁₃₉	—	4	2	no	—
572	C₂²×C₁₃₉	—	4	1	no	—
573	C₂²×C₁₃₉	—	4	2	no	—
574	C₂²×C₁₃₉	—	4	2	no	—
575	C₂²×C₁₃₉	—	4	2	no	—
576	C₂²×C₁₃₉	—	4	2	no	—
577	C₂²×C₁₃₉	—	4	2	no	—
578	C₂²×C₁₃₉	—	4	2	no	—
579	C₂²×C₁₃₉	—	4	2	no	—
580	C₂²×C₁₃₉	—	8	16	no	—
581	C₂²×C₁₃₉	#529	1	4	yes	complemented
582	C₂²×C₁₃₉	#546	1	4	yes	—
583	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
584	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
585	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
586	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
587	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
588	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
589	C₂²×C₁₃₉	#585	1	1	yes	characteristic
590	C₄×C₁₃₉	—	2	2	no	—
591	C₄×C₁₃₉	—	2	2	no	—
592	C₄×C₁₃₉	—	2	4	no	—
593	C₄×C₁₃₉	—	2	2	no	—
594	C₄×C₁₃₉	—	2	2	no	—
595	C₄×C₁₃₉	—	4	1	no	—
596	C₄×C₁₃₉	—	4	1	no	—
597	C₄×C₁₃₉	—	4	1	no	—
598	C₄×C₁₃₉	—	4	2	no	—
599	C₄×C₁₃₉	—	4	2	no	—
600	C₄×C₁₃₉	—	4	1	no	—
601	C₄×C₁₃₉	—	4	2	no	—
602	C₄×C₁₃₉	—	4	2	no	—
603	C₄×C₁₃₉	—	4	1	no	—
604	C₄×C₁₃₉	—	4	1	no	—
605	C₄×C₁₃₉	—	4	1	no	—
606	C₄×C₁₃₉	—	4	2	no	—
607	C₄×C₁₃₉	#546	1	4	yes	—
608	C₂×C₁₃₉	—	2	4	no	—
609	C₂×C₁₃₉	—	2	4	no	—
610	C₂×C₁₃₉	—	4	2	no	—
611	C₂×C₁₃₉	—	4	4	no	—
612	C₂×C₁₃₉	—	8	2	no	—
613	C₂×C₁₃₉	C₂×#529	1	1	yes	characteristic
614	C₂×C₁₃₉	C₂×#546	1	1	yes	characteristic
615	C₂×C₁₃₉	C₂×#546	1	1	yes	characteristic
616	C₂×C₁₃₉	D₄×#41	1	1	yes	characteristic
617	C₂×C₁₃₉	#3494	1	1	yes	characteristic
618	C₂×C₁₃₉	#3505	1	1	yes	characteristic
619	C₂×C₁₃₉	#3519	1	1	yes	characteristic
620	#36107	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
621	C₁₃₉	#36107	1	1	yes	characteristic, direct product factor, Sylow
622	C₂×#529	C₂×C₁₃₉	1	1	yes	characteristic, complemented
623	C₂²×#121	C₂×C₁₃₉	1	1	yes	characteristic
624	#2854	C₂×C₁₃₉	1	1	yes	characteristic, complemented
625	#2850	C₂×C₁₃₉	1	1	yes	characteristic, complemented
626	#2848	C₂×C₁₃₉	1	1	yes	characteristic, complemented
627	#2559	C₂×C₁₃₉	1	2	yes	complemented
628	#2490	C₂×C₁₃₉	1	1	yes	characteristic, complemented
629	#2480	C₂×C₁₃₉	1	2	yes	complemented
630	#2476	C₂×C₁₃₉	1	2	yes	complemented
631	#2444	C₂×C₁₃₉	1	2	yes	complemented
632	#2442	C₂×C₁₃₉	1	1	yes	characteristic, complemented
633	#2435	C₂×C₁₃₉	1	1	yes	characteristic, complemented
634	#2427	C₂×C₁₃₉	1	1	yes	characteristic, complemented
635	#2426	C₂×C₁₃₉	1	1	yes	characteristic, complemented
636	#2425	C₂×C₁₃₉	1	2	yes	complemented
637	#2420	C₂×C₁₃₉	1	1	yes	characteristic, complemented
638	#2405	C₂×C₁₃₉	1	2	yes	complemented
639	#2360	C₂×C₁₃₉	1	1	yes	characteristic, complemented
640	#2342	C₂×C₁₃₉	1	2	yes	complemented
641	D₄×C₂²⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
642	D₄×C₂²⋊C₄	C₂×C₁₃₉	1	2	yes	complemented
643	C₄×#121	C₂×C₁₃₉	1	1	yes	characteristic, complemented
644	C₂×C₄×C₂²⋊C₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
645	C₂³×D₄	C₂²×C₁₃₉	1	2	yes	—
646	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
647	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic
648	#529	—	2	8	no	—
649	C₂×#126	C₂²×C₁₃₉	1	2	yes	complemented
650	C₂×#125	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
651	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
652	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
653	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
654	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
655	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
656	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
657	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
658	C₂×#121	—	2	8	no	—
659	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
660	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
661	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
662	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
663	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
664	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
665	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
666	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
667	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
668	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
669	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
670	C₂×#117	C₂²×C₁₃₉	1	2	yes	complemented
671	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
672	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
673	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
674	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
675	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
676	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
677	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
678	#400	C₂²×C₁₃₉	1	2	yes	complemented
679	#398	C₂²×C₁₃₉	1	2	yes	complemented
680	#397	C₂²×C₁₃₉	1	2	yes	complemented
681	#397	C₂²×C₁₃₉	1	2	yes	complemented
682	#397	C₂²×C₁₃₉	1	2	yes	complemented
683	#396	C₂²×C₁₃₉	1	2	yes	complemented
684	#394	C₂²×C₁₃₉	1	2	yes	complemented
685	#394	C₂²×C₁₃₉	1	2	yes	complemented
686	#394	C₂²×C₁₃₉	1	2	yes	complemented
687	#394	C₂²×C₁₃₉	1	2	yes	complemented
688	#394	C₂²×C₁₃₉	1	2	yes	complemented
689	#394	C₂²×C₁₃₉	1	2	yes	complemented
690	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
691	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
692	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
693	#390	C₂²×C₁₃₉	1	2	yes	complemented
694	#390	C₂²×C₁₃₉	1	2	yes	complemented
695	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
696	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
697	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
698	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
699	#389	C₂²×C₁₃₉	1	2	yes	complemented
700	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
701	#388	C₂²×C₁₃₉	1	2	yes	complemented
702	#388	C₂²×C₁₃₉	1	2	yes	complemented
703	#388	C₂²×C₁₃₉	1	2	yes	complemented
704	#388	C₂²×C₁₃₉	1	2	yes	complemented
705	#388	C₂²×C₁₃₉	1	2	yes	complemented
706	#388	C₂²×C₁₃₉	1	2	yes	complemented
707	#388	C₂²×C₁₃₉	1	2	yes	complemented
708	#387	C₂²×C₁₃₉	1	2	yes	complemented
709	#386	C₂²×C₁₃₉	1	2	yes	complemented
710	#386	C₂²×C₁₃₉	1	2	yes	complemented
711	#386	C₂²×C₁₃₉	1	2	yes	complemented
712	#386	C₂²×C₁₃₉	1	2	yes	complemented
713	#386	C₂²×C₁₃₉	1	2	yes	complemented
714	#386	C₂²×C₁₃₉	1	2	yes	complemented
715	#386	C₂²×C₁₃₉	1	2	yes	complemented
716	#386	C₂²×C₁₃₉	1	2	yes	complemented
717	#385	C₂²×C₁₃₉	1	2	yes	—
718	#385	C₂²×C₁₃₉	1	2	yes	—
719	#385	C₂²×C₁₃₉	1	2	yes	—
720	#385	C₂²×C₁₃₉	1	2	yes	complemented
721	#385	C₂²×C₁₃₉	1	2	yes	complemented
722	#382	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
723	#381	C₂²×C₁₃₉	1	2	yes	complemented
724	#380	C₂²×C₁₃₉	1	1	yes	characteristic
725	#380	C₂²×C₁₃₉	1	2	yes	—
726	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
727	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
728	#380	C₂²×C₁₃₉	1	2	yes	complemented
729	#379	C₂²×C₁₃₉	1	2	yes	—
730	#379	C₂²×C₁₃₉	1	2	yes	—
731	#379	C₂²×C₁₃₉	1	2	yes	—
732	#379	C₂²×C₁₃₉	1	2	yes	—
733	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
734	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
735	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
736	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
737	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
738	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
739	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
740	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
741	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
742	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
743	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
744	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
745	C₂×#95	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
746	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
747	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
748	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
749	C₂²×D₄	—	2	8	no	—
750	C₂²×D₄	—	2	4	no	—
751	C₂²×D₄	—	2	8	no	—
752	C₂²×D₄	—	2	4	no	—
753	C₂²×D₄	—	4	2	no	—
754	C₂²×D₄	—	4	4	no	—
755	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
756	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
757	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
758	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
759	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
760	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
761	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
762	C₂³×C₄	—	2	4	no	—
763	C₂³×C₄	—	2	4	no	—
764	C₂³×C₄	—	4	2	no	—
765	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
766	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
767	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
768	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
769	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
770	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
771	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
772	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
773	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
774	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
775	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
776	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
777	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
778	#126	—	2	8	no	—
779	#125	—	2	4	no	—
780	#124	—	2	4	no	—
781	#124	—	4	2	no	—
782	#123	—	2	8	no	—
783	#123	—	4	4	no	—
784	C₂²⋊Q₈	—	2	4	no	—
785	C₂²⋊Q₈	—	2	4	no	—
786	C₂²⋊Q₈	—	4	2	no	—
787	#121	—	2	4	no	—
788	#121	—	2	8	no	—
789	#121	—	2	4	no	—
790	#121	—	2	4	no	—
791	#121	—	2	8	no	—
792	#121	D₄×C₁₃₉	1	8	yes	—
793	C₄×Q₈	—	2	4	no	—
794	C₄×D₄	—	2	4	no	—
795	C₄×D₄	—	2	8	no	—
796	C₄×D₄	—	4	2	no	—
797	C₄×D₄	—	4	4	no	—
798	#117	—	2	8	no	—
799	C₂×C₄⋊C₄	—	2	4	no	—
800	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
801	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
802	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
803	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
804	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
805	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
806	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
807	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
808	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
809	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
810	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
811	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
812	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
813	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
814	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
815	C₂×C₂²⋊C₄	—	2	4	no	—
816	C₂×C₂²⋊C₄	—	2	8	no	—
817	C₂×C₂²⋊C₄	—	2	4	no	—
818	C₂×C₂²⋊C₄	—	2	8	no	—
819	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
820	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
821	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
822	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
823	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
824	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
825	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
826	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
827	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
828	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
829	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
830	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
831	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
832	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
833	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
834	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
835	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
836	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
837	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
838	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
839	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
840	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
841	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
842	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
843	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
844	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
845	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
846	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
847	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
848	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
849	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
850	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
851	C₂×C₄²	—	2	4	no	—
852	C₂×C₄²	—	4	2	no	—
853	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
854	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
855	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
856	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
857	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
858	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
859	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
860	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
861	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
862	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
863	#95	C₂³×C₁₃₉	1	1	yes	characteristic
864	#95	C₂³×C₁₃₉	1	1	yes	characteristic
865	#95	C₂³×C₁₃₉	1	1	yes	characteristic
866	#95	C₂³×C₁₃₉	1	1	yes	characteristic
867	#95	C₂³×C₁₃₉	1	1	yes	characteristic
868	#95	C₂³×C₁₃₉	1	1	yes	characteristic
869	#95	C₂³×C₁₃₉	1	1	yes	characteristic
870	#95	C₂³×C₁₃₉	1	1	yes	characteristic
871	#95	C₂³×C₁₃₉	1	2	yes	—
872	#95	C₂³×C₁₃₉	1	2	yes	—
873	#95	C₂³×C₁₃₉	1	2	yes	—
874	#95	C₂³×C₁₃₉	1	2	yes	—
875	#95	C₂³×C₁₃₉	1	2	yes	—
876	#95	C₂³×C₁₃₉	1	2	yes	—
877	#95	C₂³×C₁₃₉	1	2	yes	—
878	#95	C₂³×C₁₃₉	1	2	yes	—
879	#95	C₂³×C₁₃₉	1	2	yes	—
880	#95	C₂³×C₁₃₉	1	2	yes	—
881	#95	C₂³×C₁₃₉	1	2	yes	—
882	C₂⁴	—	2	2	no	—
883	C₂⁴	—	2	2	no	—
884	C₂⁴	—	2	2	no	—
885	C₂⁴	—	2	2	no	—
886	C₂⁴	—	2	4	no	—
887	C₂⁴	—	2	4	no	—
888	C₂⁴	—	2	4	no	—
889	C₂⁴	—	2	4	no	—
890	C₂⁴	—	4	1	no	—
891	C₂⁴	—	4	1	no	—
892	C₂⁴	—	4	2	no	—
893	C₂⁴	—	4	2	no	—
894	C₂⁴	—	4	2	no	—
895	C₂⁴	#41×C₁₃₉	1	4	yes	—
896	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
897	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
898	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
899	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
900	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
901	C₂×Q₈	—	2	2	no	—
902	C₂×Q₈	—	2	2	no	—
903	C₂×Q₈	—	2	2	no	—
904	C₂×D₄	—	2	4	no	—
905	C₂×D₄	—	2	4	no	—
906	C₂×D₄	—	2	4	no	—
907	C₂×D₄	—	2	4	no	—
908	C₂×D₄	—	2	4	no	—
909	C₂×D₄	—	2	4	no	—
910	C₂×D₄	—	2	4	no	—
911	C₂×D₄	—	2	4	no	—
912	C₂×D₄	—	2	4	no	—
913	C₂×D₄	—	2	4	no	—
914	C₂×D₄	—	2	2	no	—
915	C₂×D₄	—	2	2	no	—
916	C₂×D₄	—	2	4	no	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	2	no	—
919	C₂×D₄	—	2	2	no	—
920	C₂×D₄	—	4	16	no	—
921	C₂×D₄	—	4	2	no	—
922	C₂×D₄	—	4	2	no	—
923	C₂×D₄	—	4	2	no	—
924	C₂×D₄	—	4	32	no	—
925	C₂×D₄	C₂×D₄×C₁₃₉	1	8	yes	—
926	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
927	C₂²×C₄	—	2	2	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	2	no	—
932	C₂²×C₄	—	2	2	no	—
933	C₂²×C₄	—	2	4	no	—
934	C₂²×C₄	—	2	2	no	—
935	C₂²×C₄	—	2	2	no	—
936	C₂²×C₄	—	2	2	no	—
937	C₂²×C₄	—	2	2	no	—
938	C₂²×C₄	—	2	4	no	—
939	C₂²×C₄	—	2	2	no	—
940	C₂²×C₄	—	2	2	no	—
941	C₂²×C₄	—	2	2	no	—
942	C₂²×C₄	—	2	4	no	—
943	C₂²×C₄	—	2	2	no	—
944	C₂²×C₄	—	2	2	no	—
945	C₂²×C₄	—	2	2	no	—
946	C₂²×C₄	—	2	2	no	—
947	C₂²×C₄	—	2	4	no	—
948	C₂²×C₄	—	2	2	no	—
949	C₂²×C₄	—	2	2	no	—
950	C₂²×C₄	—	2	2	no	—
951	C₂²×C₄	—	2	2	no	—
952	C₂²×C₄	—	2	4	no	—
953	C₂²×C₄	—	4	1	no	—
954	C₂²×C₄	—	4	1	no	—
955	C₂²×C₄	—	4	1	no	—
956	C₂²×C₄	—	4	1	no	—
957	C₂²×C₄	—	4	1	no	—
958	C₂²×C₄	—	4	1	no	—
959	C₂²×C₄	—	4	2	no	—
960	C₂²×C₄	—	4	1	no	—
961	C₂²×C₄	—	4	2	no	—
962	C₂²×C₄	—	4	16	no	—
963	C₂²×C₄	—	4	2	no	—
964	C₂²×C₄	—	4	2	no	—
965	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
966	C₂²×C₄	#41×C₁₃₉	1	4	yes	—
967	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
968	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
969	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
970	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
971	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
972	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
973	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
974	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
975	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
976	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
977	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
978	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
979	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
980	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
981	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
982	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
983	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
984	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
985	C₄⋊C₄	—	2	4	no	—
986	C₄⋊C₄	—	2	2	no	—
987	C₄⋊C₄	—	2	4	no	—
988	C₄⋊C₄	—	2	4	no	—
989	C₄⋊C₄	—	2	2	no	—
990	C₄⋊C₄	—	2	4	no	—
991	C₄⋊C₄	—	2	4	no	—
992	C₄⋊C₄	—	2	2	no	—
993	C₄⋊C₄	—	2	4	no	—
994	C₄⋊C₄	—	2	2	no	—
995	C₄⋊C₄	—	4	2	no	—
996	C₄⋊C₄	—	4	2	no	—
997	C₄⋊C₄	—	4	2	no	—
998	C₄⋊C₄	—	4	2	no	—
999	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1000	C₂²⋊C₄	—	2	4	no	—
1001	C₂²⋊C₄	—	2	4	no	—
1002	C₂²⋊C₄	—	2	4	no	—
1003	C₂²⋊C₄	—	2	4	no	—
1004	C₂²⋊C₄	—	2	4	no	—
1005	C₂²⋊C₄	—	2	2	no	—
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	—	2	2	no	—
1008	C₂²⋊C₄	—	2	4	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	2	no	—
1011	C₂²⋊C₄	—	2	4	no	—
1012	C₂²⋊C₄	—	2	4	no	—
1013	C₂²⋊C₄	—	2	4	no	—
1014	C₂²⋊C₄	—	2	4	no	—
1015	C₂²⋊C₄	—	2	2	no	—
1016	C₂²⋊C₄	—	2	2	no	—
1017	C₂²⋊C₄	—	2	4	no	—
1018	C₂²⋊C₄	—	2	4	no	—
1019	C₂²⋊C₄	—	4	2	no	—
1020	C₂²⋊C₄	—	4	2	no	—
1021	C₂²⋊C₄	—	4	2	no	—
1022	C₂²⋊C₄	—	4	2	no	—
1023	C₂²⋊C₄	—	4	2	no	—
1024	C₂²⋊C₄	—	4	2	no	—
1025	C₂²⋊C₄	—	4	2	no	—
1026	C₂²⋊C₄	—	4	2	no	—
1027	C₂²⋊C₄	—	4	2	no	—
1028	C₂²⋊C₄	—	4	2	no	—
1029	C₂²⋊C₄	—	4	2	no	—
1030	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	8	yes	—
1031	C₂²⋊C₄	#41×C₁₃₉	1	4	yes	—
1032	C₄²	—	2	2	no	—
1033	C₄²	—	2	2	no	—
1034	C₄²	—	2	2	no	—
1035	C₄²	—	2	2	no	—
1036	C₄²	—	2	4	no	—
1037	C₄²	—	2	2	no	—
1038	C₄²	—	2	2	no	—
1039	C₄²	—	4	1	no	—
1040	C₄²	—	4	1	no	—
1041	C₄²	—	4	2	no	—
1042	C₂³	—	2	1	no	—
1043	C₂³	—	2	1	no	—
1044	C₂³	—	2	1	no	—
1045	C₂³	—	2	1	no	—
1046	C₂³	—	2	1	no	—
1047	C₂³	—	2	1	no	—
1048	C₂³	—	2	1	no	—
1049	C₂³	—	2	1	no	—
1050	C₂³	—	2	8	no	—
1051	C₂³	—	2	8	no	—
1052	C₂³	—	2	1	no	—
1053	C₂³	—	2	1	no	—
1054	C₂³	—	2	1	no	—
1055	C₂³	—	2	2	no	—
1056	C₂³	—	2	2	no	—
1057	C₂³	—	2	2	no	—
1058	C₂³	—	2	1	no	—
1059	C₂³	—	2	2	no	—
1060	C₂³	—	2	2	no	—
1061	C₂³	—	2	1	no	—
1062	C₂³	—	2	1	no	—
1063	C₂³	—	2	2	no	—
1064	C₂³	—	2	2	no	—
1065	C₂³	—	2	2	no	—
1066	C₂³	—	2	2	no	—
1067	C₂³	—	2	2	no	—
1068	C₂³	—	2	2	no	—
1069	C₂³	—	2	2	no	—
1070	C₂³	—	2	2	no	—
1071	C₂³	—	4	4	no	—
1072	C₂³	—	4	4	no	—
1073	C₂³	—	4	4	no	—
1074	C₂³	—	4	4	no	—
1075	C₂³	—	4	4	no	—
1076	C₂³	—	4	8	no	—
1077	C₂³	—	4	8	no	—
1078	C₂³	—	4	8	no	—
1079	C₂³	—	4	8	no	—
1080	C₂³	—	8	4	no	—
1081	C₂³	—	8	4	no	—
1082	C₂³	—	8	4	no	—
1083	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
1084	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1085	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1086	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1087	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1088	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1089	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1090	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1091	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
1092	Q₈	—	4	4	no	—
1093	D₄	—	2	16	no	—
1094	D₄	—	2	8	no	—
1095	D₄	—	4	8	no	—
1096	D₄	—	4	8	no	—
1097	D₄	—	4	8	no	—
1098	D₄	—	4	8	no	—
1099	D₄	—	4	4	no	—
1100	C₂×C₄	—	2	1	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	2	no	—
1104	C₂×C₄	—	2	1	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	2	no	—
1108	C₂×C₄	—	2	1	no	—
1109	C₂×C₄	—	2	1	no	—
1110	C₂×C₄	—	2	8	no	—
1111	C₂×C₄	—	2	8	no	—
1112	C₂×C₄	—	2	1	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	1	no	—
1115	C₂×C₄	—	2	2	no	—
1116	C₂×C₄	—	2	1	no	—
1117	C₂×C₄	—	2	2	no	—
1118	C₂×C₄	—	2	2	no	—
1119	C₂×C₄	—	2	1	no	—
1120	C₂×C₄	—	2	1	no	—
1121	C₂×C₄	—	2	1	no	—
1122	C₂×C₄	—	2	2	no	—
1123	C₂×C₄	—	2	1	no	—
1124	C₂×C₄	—	2	1	no	—
1125	C₂×C₄	—	2	1	no	—
1126	C₂×C₄	—	2	2	no	—
1127	C₂×C₄	—	2	2	no	—
1128	C₂×C₄	—	2	2	no	—
1129	C₂×C₄	—	2	1	no	—
1130	C₂×C₄	—	2	2	no	—
1131	C₂×C₄	—	2	1	no	—
1132	C₂×C₄	—	2	1	no	—
1133	C₂×C₄	—	2	1	no	—
1134	C₂×C₄	—	2	2	no	—
1135	C₂×C₄	—	2	2	no	—
1136	C₂×C₄	—	2	2	no	—
1137	C₂×C₄	—	2	2	no	—
1138	C₂×C₄	—	2	1	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	2	no	—
1143	C₂×C₄	—	2	2	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	2	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	4	4	no	—
1149	C₂×C₄	—	4	4	no	—
1150	C₂×C₄	—	4	4	no	—
1151	C₂×C₄	—	4	8	no	—
1152	C₂×C₄	—	4	4	no	—
1153	C₂×C₄	—	4	8	no	—
1154	C₂×C₄	—	4	4	no	—
1155	C₂×C₄	—	4	4	no	—
1156	C₂×C₄	—	4	4	no	—
1157	C₂×C₄	—	4	4	no	—
1158	C₂×C₄	—	8	4	no	—
1159	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1160	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
1161	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1162	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1163	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1164	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1165	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1166	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1167	C₂²	—	2	2	no	—
1168	C₂²	—	2	2	no	—
1169	C₂²	—	2	2	no	—
1170	C₂²	—	2	2	no	—
1171	C₂²	—	2	2	no	—
1172	C₂²	—	2	2	no	—
1173	C₂²	—	2	2	no	—
1174	C₂²	—	2	2	no	—
1175	C₂²	—	2	2	no	—
1176	C₂²	—	2	2	no	—
1177	C₂²	—	2	2	no	—
1178	C₂²	—	2	2	no	—
1179	C₂²	—	2	2	no	—
1180	C₂²	—	2	4	no	—
1181	C₂²	—	2	4	no	—
1182	C₂²	—	2	2	no	—
1183	C₂²	—	2	4	no	—
1184	C₂²	—	2	2	no	—
1185	C₂²	—	4	16	no	—
1186	C₂²	—	4	2	no	—
1187	C₂²	—	4	1	no	—
1188	C₂²	—	4	1	no	—
1189	C₂²	—	4	1	no	—
1190	C₂²	—	4	2	no	—
1191	C₂²	—	4	2	no	—
1192	C₂²	—	4	2	no	—
1193	C₂²	—	4	1	no	—
1194	C₂²	—	4	2	no	—
1195	C₂²	—	4	2	no	—
1196	C₂²	—	4	2	no	—
1197	C₂²	—	4	2	no	—
1198	C₂²	—	4	2	no	—
1199	C₂²	—	4	2	no	—
1200	C₂²	—	4	2	no	—
1201	C₂²	—	8	16	no	—
1202	C₂²	#529×C₁₃₉	1	4	yes	complemented
1203	C₂²	#546×C₁₃₉	1	4	yes	—
1204	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1205	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1206	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1207	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1208	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1209	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1210	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1211	C₄	—	2	2	no	—
1212	C₄	—	2	2	no	—
1213	C₄	—	2	4	no	—
1214	C₄	—	2	2	no	—
1215	C₄	—	2	2	no	—
1216	C₄	—	4	1	no	—
1217	C₄	—	4	2	no	—
1218	C₄	—	4	1	no	—
1219	C₄	—	4	1	no	—
1220	C₄	—	4	2	no	—
1221	C₄	—	4	1	no	—
1222	C₄	—	4	2	no	—
1223	C₄	—	4	2	no	—
1224	C₄	—	4	1	no	—
1225	C₄	—	4	1	no	—
1226	C₄	—	4	1	no	—
1227	C₄	—	4	2	no	—
1228	C₄	#546×C₁₃₉	1	4	yes	—
1229	C₂	—	2	4	no	—
1230	C₂	—	2	4	no	—
1231	C₂	—	4	2	no	—
1232	C₂	—	4	4	no	—
1233	C₂	—	8	2	no	—
1234	C₂	C₂×#529×C₁₃₉	1	1	yes	characteristic
1235	C₂	C₂×#546×C₁₃₉	1	1	yes	characteristic
1236	C₂	C₂×#546×C₁₃₉	1	1	yes	characteristic
1237	C₂	D₄×#41×C₁₃₉	1	1	yes	characteristic
1238	C₂	#3494×C₁₃₉	1	1	yes	characteristic
1239	C₂	#3505×C₁₃₉	1	1	yes	characteristic
1240	C₂	#3519×C₁₃₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
prime radical	C₂²×#121×C₁₃₉	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃₉ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₂×#529×C₁₃₉	C₂	semidirect
3. #2854×C₁₃₉	C₂	semidirect
4. #2850×C₁₃₉	C₂	semidirect
5. #2848×C₁₃₉	C₂	semidirect
6. #2559×C₁₃₉	C₂	semidirect
7. #2490×C₁₃₉	C₂	semidirect
8. #2480×C₁₃₉	C₂	semidirect
9. #2476×C₁₃₉	C₂	semidirect
10. #2444×C₁₃₉	C₂	semidirect
11. #2442×C₁₃₉	C₂	semidirect
12. #2435×C₁₃₉	C₂	semidirect
13. #2427×C₁₃₉	C₂	semidirect
14. #2426×C₁₃₉	C₂	semidirect
15. #2425×C₁₃₉	C₂	semidirect
16. #2420×C₁₃₉	C₂	semidirect
17. #2405×C₁₃₉	C₂	semidirect
18. #2360×C₁₃₉	C₂	semidirect
19. #2342×C₁₃₉	C₂	semidirect
20. D₄×C₂²⋊C₄×C₁₃₉	C₂	semidirect
21. D₄×C₂²⋊C₄×C₁₃₉	C₂	semidirect
22. C₄×#121×C₁₃₉	C₂	semidirect
23. C₂×C₄×C₂²⋊C₄×C₁₃₉	C₂	semidirect
28. C₂×#126×C₁₃₉	C₂²	semidirect
29. C₂×#125×C₁₃₉	C₂²	semidirect
30. C₂×#124×C₁₃₉	C₂²	semidirect
31. C₂×#124×C₁₃₉	C₂²	semidirect
32. C₂×#123×C₁₃₉	C₂²	semidirect
33. C₂×#123×C₁₃₉	C₂²	semidirect
35. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
36. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
44. C₂×C₄×Q₈×C₁₃₉	C₂²	semidirect
45. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
46. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
47. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
48. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
49. C₂×#117×C₁₃₉	C₂²	semidirect
55. C₂²×C₄²×C₁₃₉	C₂²	semidirect
56. C₂²×C₄²×C₁₃₉	C₂²	semidirect
57. #400×C₁₃₉	C₂²	semidirect
58. #398×C₁₃₉	C₂²	semidirect
59. #397×C₁₃₉	C₂²	semidirect
60. #397×C₁₃₉	C₂²	semidirect
61. #397×C₁₃₉	C₂²	semidirect
62. #396×C₁₃₉	C₂²	semidirect
63. #394×C₁₃₉	C₂²	semidirect
64. #394×C₁₃₉	C₂²	semidirect
65. #394×C₁₃₉	C₂²	semidirect
66. #394×C₁₃₉	C₂²	semidirect
67. #394×C₁₃₉	C₂²	semidirect
68. #394×C₁₃₉	C₂²	semidirect
69. #391×C₁₃₉	C₂²	semidirect
70. #390×C₁₃₉	C₂²	semidirect
71. #390×C₁₃₉	C₂²	semidirect
72. #390×C₁₃₉	C₂²	semidirect
73. #390×C₁₃₉	C₂²	semidirect
74. #390×C₁₃₉	C₂²	semidirect
75. #390×C₁₃₉	C₂²	semidirect
76. #389×C₁₃₉	C₂²	semidirect
77. #389×C₁₃₉	C₂²	semidirect
78. #389×C₁₃₉	C₂²	semidirect
79. #389×C₁₃₉	C₂²	semidirect
80. #388×C₁₃₉	C₂²	semidirect
81. #388×C₁₃₉	C₂²	semidirect
82. #388×C₁₃₉	C₂²	semidirect
83. #388×C₁₃₉	C₂²	semidirect
84. #388×C₁₃₉	C₂²	semidirect
85. #388×C₁₃₉	C₂²	semidirect
86. #388×C₁₃₉	C₂²	semidirect
87. #387×C₁₃₉	C₂²	semidirect
88. #386×C₁₃₉	C₂²	semidirect
89. #386×C₁₃₉	C₂²	semidirect
90. #386×C₁₃₉	C₂²	semidirect
91. #386×C₁₃₉	C₂²	semidirect
92. #386×C₁₃₉	C₂²	semidirect
93. #386×C₁₃₉	C₂²	semidirect
94. #386×C₁₃₉	C₂²	semidirect
95. #386×C₁₃₉	C₂²	semidirect
99. #385×C₁₃₉	C₂²	semidirect
100. #385×C₁₃₉	C₂²	semidirect
101. #382×C₁₃₉	C₂²	semidirect
102. #381×C₁₃₉	C₂²	semidirect
105. #380×C₁₃₉	C₂²	semidirect
106. #380×C₁₃₉	C₂²	semidirect
107. #380×C₁₃₉	C₂²	semidirect
112. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
118. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
119. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
120. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
121. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
122. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
123. C₂×#95×C₁₃₉	C₂²	semidirect
124. C₂×#95×C₁₃₉	C₂²	semidirect
581. C₂²×C₁₃₉	#529	semidirect
620. #36107	C₁₃₉	direct (N × H)
621. C₁₃₉	#36107	direct (N × H)
622. C₂×#529	C₂×C₁₃₉	semidirect
624. #2854	C₂×C₁₃₉	semidirect
625. #2850	C₂×C₁₃₉	semidirect
626. #2848	C₂×C₁₃₉	semidirect
627. #2559	C₂×C₁₃₉	semidirect
628. #2490	C₂×C₁₃₉	semidirect
629. #2480	C₂×C₁₃₉	semidirect
630. #2476	C₂×C₁₃₉	semidirect
631. #2444	C₂×C₁₃₉	semidirect
632. #2442	C₂×C₁₃₉	semidirect
633. #2435	C₂×C₁₃₉	semidirect
634. #2427	C₂×C₁₃₉	semidirect
635. #2426	C₂×C₁₃₉	semidirect
636. #2425	C₂×C₁₃₉	semidirect
637. #2420	C₂×C₁₃₉	semidirect
638. #2405	C₂×C₁₃₉	semidirect
639. #2360	C₂×C₁₃₉	semidirect
640. #2342	C₂×C₁₃₉	semidirect
641. D₄×C₂²⋊C₄	C₂×C₁₃₉	semidirect
642. D₄×C₂²⋊C₄	C₂×C₁₃₉	semidirect
643. C₄×#121	C₂×C₁₃₉	semidirect
644. C₂×C₄×C₂²⋊C₄	C₂×C₁₃₉	semidirect
649. C₂×#126	C₂²×C₁₃₉	semidirect
650. C₂×#125	C₂²×C₁₃₉	semidirect
651. C₂×#124	C₂²×C₁₃₉	semidirect
652. C₂×#124	C₂²×C₁₃₉	semidirect
653. C₂×#123	C₂²×C₁₃₉	semidirect
654. C₂×#123	C₂²×C₁₃₉	semidirect
656. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
657. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
665. C₂×C₄×Q₈	C₂²×C₁₃₉	semidirect
666. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
667. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
668. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
669. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
670. C₂×#117	C₂²×C₁₃₉	semidirect
676. C₂²×C₄²	C₂²×C₁₃₉	semidirect
677. C₂²×C₄²	C₂²×C₁₃₉	semidirect
678. #400	C₂²×C₁₃₉	semidirect
679. #398	C₂²×C₁₃₉	semidirect
680. #397	C₂²×C₁₃₉	semidirect
681. #397	C₂²×C₁₃₉	semidirect
682. #397	C₂²×C₁₃₉	semidirect
683. #396	C₂²×C₁₃₉	semidirect
684. #394	C₂²×C₁₃₉	semidirect
685. #394	C₂²×C₁₃₉	semidirect
686. #394	C₂²×C₁₃₉	semidirect
687. #394	C₂²×C₁₃₉	semidirect
688. #394	C₂²×C₁₃₉	semidirect
689. #394	C₂²×C₁₃₉	semidirect
690. #391	C₂²×C₁₃₉	semidirect
691. #390	C₂²×C₁₃₉	semidirect
692. #390	C₂²×C₁₃₉	semidirect
693. #390	C₂²×C₁₃₉	semidirect
694. #390	C₂²×C₁₃₉	semidirect
695. #390	C₂²×C₁₃₉	semidirect
696. #390	C₂²×C₁₃₉	semidirect
697. #389	C₂²×C₁₃₉	semidirect
698. #389	C₂²×C₁₃₉	semidirect
699. #389	C₂²×C₁₃₉	semidirect
700. #389	C₂²×C₁₃₉	semidirect
701. #388	C₂²×C₁₃₉	semidirect
702. #388	C₂²×C₁₃₉	semidirect
703. #388	C₂²×C₁₃₉	semidirect
704. #388	C₂²×C₁₃₉	semidirect
705. #388	C₂²×C₁₃₉	semidirect
706. #388	C₂²×C₁₃₉	semidirect
707. #388	C₂²×C₁₃₉	semidirect
708. #387	C₂²×C₁₃₉	semidirect
709. #386	C₂²×C₁₃₉	semidirect
710. #386	C₂²×C₁₃₉	semidirect
711. #386	C₂²×C₁₃₉	semidirect
712. #386	C₂²×C₁₃₉	semidirect
713. #386	C₂²×C₁₃₉	semidirect
714. #386	C₂²×C₁₃₉	semidirect
715. #386	C₂²×C₁₃₉	semidirect
716. #386	C₂²×C₁₃₉	semidirect
720. #385	C₂²×C₁₃₉	semidirect
721. #385	C₂²×C₁₃₉	semidirect
722. #382	C₂²×C₁₃₉	semidirect
723. #381	C₂²×C₁₃₉	semidirect
726. #380	C₂²×C₁₃₉	semidirect
727. #380	C₂²×C₁₃₉	semidirect
728. #380	C₂²×C₁₃₉	semidirect
733. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
739. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
740. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
741. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
742. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
743. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
744. C₂×#95	C₂²×C₁₃₉	semidirect
745. C₂×#95	C₂²×C₁₃₉	semidirect
1202. C₂²	#529×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#529×C₁₃₉	2
C₂²×#121×C₁₃₉	2
#2854×C₁₃₉	2
#2850×C₁₃₉	2
#2848×C₁₃₉	2
#2559×C₁₃₉	2
#2490×C₁₃₉	2
#2480×C₁₃₉	2
#2476×C₁₃₉	2
#2444×C₁₃₉	2
#2442×C₁₃₉	2
#2435×C₁₃₉	2
#2427×C₁₃₉	2
#2426×C₁₃₉	2
#2425×C₁₃₉	2
#2420×C₁₃₉	2
#2405×C₁₃₉	2
#2360×C₁₃₉	2
#2342×C₁₃₉	2
D₄×C₂²⋊C₄×C₁₃₉	2
C₄×#121×C₁₃₉	2
C₂×C₄×C₂²⋊C₄×C₁₃₉	2
#36107	139

Subgroups — C139×#36107 #48030703

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36107 #48030703