Subgroups — C₁₃₉×#36097 #48030693

Order 35584.

3552 conjugacy classes of subgroups.

The subgroup lattice has 1370 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#548×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#525×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×C₂²⋊Q₈×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×C₄×D₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2850×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2848×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2847×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2540×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
9	#2536×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
10	#2472×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2463×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2461×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2449×C₁₃₉	C₂	1	2	yes	maximal, complemented
14	#2443×C₁₃₉	C₂	1	2	yes	maximal, complemented
15	#2416×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2415×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2410×C₁₃₉	C₂	1	2	yes	maximal, complemented
18	#2409×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	#2407×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	#2361×C₁₃₉	C₂	1	2	yes	maximal, complemented
21	#2358×C₁₃₉	C₂	1	2	yes	maximal, complemented
22	#2352×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×C₂²⋊Q₈×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#41×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
25	C₂³×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
26	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
27	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic
28	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic
29	#548×C₁₃₉	—	2	8	no	—
30	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
31	C₂×#124×C₁₃₉	C₂²	1	2	yes	complemented
32	#525×C₁₃₉	—	2	8	no	—
33	C₂×#123×C₁₃₉	C₂²	1	2	yes	complemented
34	C₂×C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
35	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
36	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	—
37	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
38	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	complemented
43	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	complemented
44	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
45	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
46	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
47	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
48	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
49	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
50	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
51	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
52	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
53	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₄×D₄×C₁₃₉	—	2	8	no	—
55	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
56	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
57	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
58	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
59	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
60	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
61	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
62	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
63	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
64	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
65	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	complemented
66	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
67	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
68	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
69	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
70	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
71	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
72	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
73	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
74	#399×C₁₃₉	C₂²	1	2	yes	complemented
75	#398×C₁₃₉	C₂²	1	2	yes	complemented
76	#397×C₁₃₉	C₂²	1	2	yes	complemented
77	#396×C₁₃₉	C₂²	1	2	yes	complemented
78	#395×C₁₃₉	C₂²	1	2	yes	complemented
79	#394×C₁₃₉	C₂²	1	2	yes	—
80	#394×C₁₃₉	C₂²	1	2	yes	—
81	#394×C₁₃₉	C₂²	1	2	yes	complemented
82	#394×C₁₃₉	C₂²	1	2	yes	complemented
83	#393×C₁₃₉	C₂²	1	2	yes	complemented
84	#392×C₁₃₉	C₂²	1	2	yes	—
85	#392×C₁₃₉	C₂²	1	2	yes	—
86	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
87	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
88	#390×C₁₃₉	C₂²	1	2	yes	complemented
89	#390×C₁₃₉	C₂²	1	2	yes	complemented
90	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
91	#389×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
92	#389×C₁₃₉	C₂²	1	2	yes	complemented
93	#388×C₁₃₉	C₂²	1	2	yes	complemented
94	#388×C₁₃₉	C₂²	1	2	yes	complemented
95	#388×C₁₃₉	C₂²	1	2	yes	complemented
96	#388×C₁₃₉	C₂²	1	2	yes	complemented
97	#388×C₁₃₉	C₂²	1	2	yes	complemented
98	#388×C₁₃₉	C₂²	1	2	yes	complemented
99	#387×C₁₃₉	C₂²	1	2	yes	complemented
100	#387×C₁₃₉	C₂²	1	2	yes	complemented
101	#386×C₁₃₉	C₂²	1	2	yes	—
102	#386×C₁₃₉	C₂²	1	2	yes	—
103	#386×C₁₃₉	C₂²	1	2	yes	—
104	#386×C₁₃₉	C₂²	1	2	yes	—
105	#386×C₁₃₉	C₂²	1	2	yes	—
106	#386×C₁₃₉	C₂²	1	2	yes	complemented
107	#386×C₁₃₉	C₂²	1	2	yes	complemented
108	#386×C₁₃₉	C₂²	1	2	yes	complemented
109	#386×C₁₃₉	C₂²	1	2	yes	complemented
110	#385×C₁₃₉	C₂²	1	2	yes	—
111	#385×C₁₃₉	C₂²	1	2	yes	—
112	#385×C₁₃₉	C₂²	1	2	yes	complemented
113	#385×C₁₃₉	C₂²	1	2	yes	complemented
114	#385×C₁₃₉	C₂²	1	2	yes	complemented
115	#385×C₁₃₉	C₂²	1	2	yes	complemented
116	#382×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
117	#380×C₁₃₉	C₂²	1	1	yes	characteristic
118	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
119	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
120	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
121	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
122	#379×C₁₃₉	C₂²	1	2	yes	—
123	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
124	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
125	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
126	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
127	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
128	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
129	C₂×#41×C₁₃₉	—	2	4	no	—
130	C₂×#41×C₁₃₉	—	2	4	no	—
131	C₂×#41×C₁₃₉	—	4	2	no	—
132	C₂²×Q₈×C₁₃₉	—	2	4	no	—
133	C₂²×Q₈×C₁₃₉	—	2	4	no	—
134	C₂²×Q₈×C₁₃₉	—	4	2	no	—
135	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
136	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
137	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
138	C₂²×D₄×C₁₃₉	—	2	4	no	—
139	C₂²×D₄×C₁₃₉	—	2	4	no	—
140	C₂²×D₄×C₁₃₉	—	2	4	no	—
141	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
142	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
143	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
144	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
145	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
146	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
147	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
148	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
149	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
150	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
151	C₂³×C₄×C₁₃₉	—	2	4	no	—
152	C₂³×C₄×C₁₃₉	—	2	4	no	—
153	C₂³×C₄×C₁₃₉	—	2	4	no	—
154	C₂³×C₄×C₁₃₉	—	2	4	no	—
155	C₂³×C₄×C₁₃₉	—	4	2	no	—
156	C₂³×C₄×C₁₃₉	—	4	2	no	—
157	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
158	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
159	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
160	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
161	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
162	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
163	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
164	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
165	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
166	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
167	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
168	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
169	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
170	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
171	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
172	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
173	#124×C₁₃₉	—	2	8	no	—
174	#124×C₁₃₉	—	2	4	no	—
175	#123×C₁₃₉	—	2	8	no	—
176	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
177	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
178	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
179	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
180	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
181	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
182	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
183	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
184	C₂²⋊Q₈×C₁₃₉	—	4	2	no	—
185	C₂²⋊Q₈×C₁₃₉	D₄	1	8	yes	complemented
186	#121×C₁₃₉	—	2	8	no	—
187	#121×C₁₃₉	—	2	8	no	—
188	#121×C₁₃₉	—	2	4	no	—
189	#121×C₁₃₉	—	2	4	no	—
190	#121×C₁₃₉	—	2	4	no	—
191	#121×C₁₃₉	—	4	2	no	—
192	#120×C₁₃₉	—	2	8	no	—
193	#120×C₁₃₉	—	2	8	no	—
194	C₄×Q₈×C₁₃₉	—	2	4	no	—
195	C₄×D₄×C₁₃₉	—	2	4	no	—
196	C₄×D₄×C₁₃₉	—	2	4	no	—
197	C₄×D₄×C₁₃₉	—	2	4	no	—
198	C₄×D₄×C₁₃₉	—	2	4	no	—
199	C₄×D₄×C₁₃₉	—	2	8	no	—
200	C₄×D₄×C₁₃₉	—	2	4	no	—
201	C₄×D₄×C₁₃₉	—	2	4	no	—
202	C₄×D₄×C₁₃₉	—	2	8	no	—
203	C₄×D₄×C₁₃₉	—	2	8	no	—
204	C₄×D₄×C₁₃₉	—	2	4	no	—
205	C₄×D₄×C₁₃₉	D₄	1	8	yes	complemented
206	#117×C₁₃₉	—	2	4	no	—
207	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
208	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
209	C₂×C₄⋊C₄×C₁₃₉	—	2	8	no	—
210	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
212	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
213	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
214	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
215	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
216	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
217	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
218	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
221	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
223	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
226	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
229	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
230	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
231	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
232	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
233	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
234	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
235	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
237	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
238	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
239	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
245	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
246	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
247	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
248	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
249	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
250	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
251	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
252	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
253	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
254	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
255	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
256	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
257	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
258	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
261	C₂×C₄²×C₁₃₉	—	2	4	no	—
262	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
263	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
264	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
265	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
266	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
267	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
268	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
269	#95×C₁₃₉	C₂³	1	2	yes	—
270	#95×C₁₃₉	C₂³	1	2	yes	—
271	#95×C₁₃₉	C₂³	1	2	yes	—
272	#95×C₁₃₉	C₂³	1	2	yes	—
273	#95×C₁₃₉	C₂³	1	2	yes	—
274	#95×C₁₃₉	C₂³	1	2	yes	—
275	#95×C₁₃₉	C₂³	1	2	yes	—
276	#95×C₁₃₉	C₂³	1	2	yes	—
277	#95×C₁₃₉	C₂³	1	2	yes	—
278	#95×C₁₃₉	C₂³	1	2	yes	—
279	#95×C₁₃₉	C₂³	1	2	yes	—
280	#95×C₁₃₉	C₂³	1	2	yes	—
281	#95×C₁₃₉	C₂³	1	2	yes	—
282	C₂⁴×C₁₃₉	—	2	2	no	—
283	C₂⁴×C₁₃₉	—	2	2	no	—
284	C₂⁴×C₁₃₉	—	2	2	no	—
285	C₂⁴×C₁₃₉	—	2	2	no	—
286	C₂⁴×C₁₃₉	—	2	2	no	—
287	C₂⁴×C₁₃₉	—	2	2	no	—
288	C₂⁴×C₁₃₉	—	2	2	no	—
289	C₂⁴×C₁₃₉	—	2	2	no	—
290	C₂⁴×C₁₃₉	—	2	2	no	—
291	C₂⁴×C₁₃₉	—	4	1	no	—
292	C₂⁴×C₁₃₉	—	4	1	no	—
293	C₂⁴×C₁₃₉	—	4	1	no	—
294	C₂⁴×C₁₃₉	—	4	1	no	—
295	C₂⁴×C₁₃₉	#41	1	4	yes	complemented
296	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
297	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
298	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
299	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
300	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
301	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
302	#41×C₁₃₉	—	4	16	no	—
303	C₂×Q₈×C₁₃₉	—	2	2	no	—
304	C₂×Q₈×C₁₃₉	—	2	4	no	—
305	C₂×Q₈×C₁₃₉	—	2	2	no	—
306	C₂×Q₈×C₁₃₉	—	2	4	no	—
307	C₂×Q₈×C₁₃₉	—	2	2	no	—
308	C₂×Q₈×C₁₃₉	—	2	2	no	—
309	C₂×Q₈×C₁₃₉	—	2	2	no	—
310	C₂×Q₈×C₁₃₉	—	4	2	no	—
311	C₂×Q₈×C₁₃₉	—	4	16	no	—
312	C₂×Q₈×C₁₃₉	C₂×D₄	1	4	yes	complemented
313	C₂×D₄×C₁₃₉	—	2	32	no	—
314	C₂×D₄×C₁₃₉	—	2	2	no	—
315	C₂×D₄×C₁₃₉	—	2	2	no	—
316	C₂×D₄×C₁₃₉	—	2	2	no	—
317	C₂×D₄×C₁₃₉	—	2	2	no	—
318	C₂×D₄×C₁₃₉	—	2	2	no	—
319	C₂×D₄×C₁₃₉	—	2	2	no	—
320	C₂×D₄×C₁₃₉	—	2	2	no	—
321	C₂×D₄×C₁₃₉	—	2	2	no	—
322	C₂×D₄×C₁₃₉	—	2	4	no	—
323	C₂×D₄×C₁₃₉	—	2	4	no	—
324	C₂×D₄×C₁₃₉	—	2	4	no	—
325	C₂×D₄×C₁₃₉	—	2	4	no	—
326	C₂×D₄×C₁₃₉	—	2	4	no	—
327	C₂×D₄×C₁₃₉	—	2	4	no	—
328	C₂×D₄×C₁₃₉	—	2	4	no	—
329	C₂×D₄×C₁₃₉	—	2	4	no	—
330	C₂×D₄×C₁₃₉	—	2	4	no	—
331	C₂×D₄×C₁₃₉	—	2	2	no	—
332	C₂×D₄×C₁₃₉	—	2	4	no	—
333	C₂×D₄×C₁₃₉	—	2	4	no	—
334	C₂×D₄×C₁₃₉	—	2	2	no	—
335	C₂×D₄×C₁₃₉	—	2	2	no	—
336	C₂×D₄×C₁₃₉	—	2	2	no	—
337	C₂×D₄×C₁₃₉	—	2	2	no	—
338	C₂×D₄×C₁₃₉	—	4	2	no	—
339	C₂×D₄×C₁₃₉	—	4	2	no	—
340	C₂×D₄×C₁₃₉	—	4	2	no	—
341	C₂×D₄×C₁₃₉	—	4	2	no	—
342	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
343	C₂×D₄×C₁₃₉	#41	1	4	yes	complemented
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	2	no	—
348	C₂²×C₄×C₁₃₉	—	2	2	no	—
349	C₂²×C₄×C₁₃₉	—	2	2	no	—
350	C₂²×C₄×C₁₃₉	—	2	2	no	—
351	C₂²×C₄×C₁₃₉	—	2	2	no	—
352	C₂²×C₄×C₁₃₉	—	2	2	no	—
353	C₂²×C₄×C₁₃₉	—	2	2	no	—
354	C₂²×C₄×C₁₃₉	—	2	2	no	—
355	C₂²×C₄×C₁₃₉	—	2	2	no	—
356	C₂²×C₄×C₁₃₉	—	2	4	no	—
357	C₂²×C₄×C₁₃₉	—	2	2	no	—
358	C₂²×C₄×C₁₃₉	—	2	4	no	—
359	C₂²×C₄×C₁₃₉	—	2	2	no	—
360	C₂²×C₄×C₁₃₉	—	2	2	no	—
361	C₂²×C₄×C₁₃₉	—	2	4	no	—
362	C₂²×C₄×C₁₃₉	—	2	2	no	—
363	C₂²×C₄×C₁₃₉	—	2	2	no	—
364	C₂²×C₄×C₁₃₉	—	2	4	no	—
365	C₂²×C₄×C₁₃₉	—	2	2	no	—
366	C₂²×C₄×C₁₃₉	—	2	2	no	—
367	C₂²×C₄×C₁₃₉	—	2	2	no	—
368	C₂²×C₄×C₁₃₉	—	2	2	no	—
369	C₂²×C₄×C₁₃₉	—	2	2	no	—
370	C₂²×C₄×C₁₃₉	—	2	2	no	—
371	C₂²×C₄×C₁₃₉	—	2	4	no	—
372	C₂²×C₄×C₁₃₉	—	2	4	no	—
373	C₂²×C₄×C₁₃₉	—	2	2	no	—
374	C₂²×C₄×C₁₃₉	—	2	2	no	—
375	C₂²×C₄×C₁₃₉	—	2	2	no	—
376	C₂²×C₄×C₁₃₉	—	2	2	no	—
377	C₂²×C₄×C₁₃₉	—	2	2	no	—
378	C₂²×C₄×C₁₃₉	—	2	2	no	—
379	C₂²×C₄×C₁₃₉	—	4	1	no	—
380	C₂²×C₄×C₁₃₉	—	4	1	no	—
381	C₂²×C₄×C₁₃₉	—	4	1	no	—
382	C₂²×C₄×C₁₃₉	—	4	1	no	—
383	C₂²×C₄×C₁₃₉	—	4	1	no	—
384	C₂²×C₄×C₁₃₉	—	4	1	no	—
385	C₂²×C₄×C₁₃₉	—	4	1	no	—
386	C₂²×C₄×C₁₃₉	—	4	2	no	—
387	C₂²×C₄×C₁₃₉	—	4	2	no	—
388	C₂²×C₄×C₁₃₉	—	4	2	no	—
389	C₂²×C₄×C₁₃₉	—	4	16	no	—
390	C₂²×C₄×C₁₃₉	—	4	16	no	—
391	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
392	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
393	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
394	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
396	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
397	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
398	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
399	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
400	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
405	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
408	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
411	C₄⋊C₄×C₁₃₉	—	2	2	no	—
412	C₄⋊C₄×C₁₃₉	—	2	2	no	—
413	C₄⋊C₄×C₁₃₉	—	2	2	no	—
414	C₄⋊C₄×C₁₃₉	—	2	4	no	—
415	C₄⋊C₄×C₁₃₉	—	2	2	no	—
416	C₄⋊C₄×C₁₃₉	—	2	4	no	—
417	C₄⋊C₄×C₁₃₉	—	2	4	no	—
418	C₄⋊C₄×C₁₃₉	—	2	4	no	—
419	C₄⋊C₄×C₁₃₉	—	2	2	no	—
420	C₄⋊C₄×C₁₃₉	—	2	4	no	—
421	C₄⋊C₄×C₁₃₉	—	2	4	no	—
422	C₄⋊C₄×C₁₃₉	—	2	4	no	—
423	C₄⋊C₄×C₁₃₉	—	2	2	no	—
424	C₄⋊C₄×C₁₃₉	—	2	4	no	—
425	C₄⋊C₄×C₁₃₉	—	2	2	no	—
426	C₄⋊C₄×C₁₃₉	—	4	2	no	—
427	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
428	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	complemented
429	C₄⋊C₄×C₁₃₉	C₂×D₄	1	8	yes	complemented
430	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
431	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
432	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
433	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
434	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
435	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
436	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
437	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
438	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
439	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
440	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
441	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
442	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
443	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
444	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
445	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
446	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
447	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
448	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
449	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
450	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
451	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
452	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
453	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
454	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
455	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
456	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
457	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
458	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	8	yes	—
459	C₄²×C₁₃₉	—	2	2	no	—
460	C₄²×C₁₃₉	—	2	2	no	—
461	C₄²×C₁₃₉	—	2	2	no	—
462	C₄²×C₁₃₉	—	2	4	no	—
463	C₄²×C₁₃₉	—	2	4	no	—
464	C₄²×C₁₃₉	—	4	2	no	—
465	C₄²×C₁₃₉	C₂×D₄	1	4	yes	—
466	C₂³×C₁₃₉	—	2	1	no	—
467	C₂³×C₁₃₉	—	2	1	no	—
468	C₂³×C₁₃₉	—	2	1	no	—
469	C₂³×C₁₃₉	—	2	1	no	—
470	C₂³×C₁₃₉	—	2	1	no	—
471	C₂³×C₁₃₉	—	2	1	no	—
472	C₂³×C₁₃₉	—	2	1	no	—
473	C₂³×C₁₃₉	—	2	1	no	—
474	C₂³×C₁₃₉	—	2	8	no	—
475	C₂³×C₁₃₉	—	2	8	no	—
476	C₂³×C₁₃₉	—	2	8	no	—
477	C₂³×C₁₃₉	—	2	1	no	—
478	C₂³×C₁₃₉	—	2	1	no	—
479	C₂³×C₁₃₉	—	2	1	no	—
480	C₂³×C₁₃₉	—	2	1	no	—
481	C₂³×C₁₃₉	—	2	1	no	—
482	C₂³×C₁₃₉	—	2	1	no	—
483	C₂³×C₁₃₉	—	2	1	no	—
484	C₂³×C₁₃₉	—	2	1	no	—
485	C₂³×C₁₃₉	—	2	1	no	—
486	C₂³×C₁₃₉	—	2	1	no	—
487	C₂³×C₁₃₉	—	2	1	no	—
488	C₂³×C₁₃₉	—	2	1	no	—
489	C₂³×C₁₃₉	—	2	1	no	—
490	C₂³×C₁₃₉	—	2	1	no	—
491	C₂³×C₁₃₉	—	2	1	no	—
492	C₂³×C₁₃₉	—	2	1	no	—
493	C₂³×C₁₃₉	—	2	1	no	—
494	C₂³×C₁₃₉	—	2	1	no	—
495	C₂³×C₁₃₉	—	2	2	no	—
496	C₂³×C₁₃₉	—	2	2	no	—
497	C₂³×C₁₃₉	—	2	2	no	—
498	C₂³×C₁₃₉	—	2	2	no	—
499	C₂³×C₁₃₉	—	2	2	no	—
500	C₂³×C₁₃₉	—	2	2	no	—
501	C₂³×C₁₃₉	—	2	2	no	—
502	C₂³×C₁₃₉	—	4	4	no	—
503	C₂³×C₁₃₉	—	4	4	no	—
504	C₂³×C₁₃₉	—	4	4	no	—
505	C₂³×C₁₃₉	—	4	4	no	—
506	C₂³×C₁₃₉	—	4	4	no	—
507	C₂³×C₁₃₉	—	4	4	no	—
508	C₂³×C₁₃₉	—	4	4	no	—
509	C₂³×C₁₃₉	—	4	4	no	—
510	C₂³×C₁₃₉	—	4	4	no	—
511	C₂³×C₁₃₉	—	4	4	no	—
512	C₂³×C₁₃₉	—	4	4	no	—
513	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
514	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
515	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
516	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
517	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
518	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
519	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
520	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
521	C₂³×C₁₃₉	2₋¹⁺⁴	1	2	yes	—
522	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
523	Q₈×C₁₃₉	—	2	8	no	—
524	Q₈×C₁₃₉	—	4	8	no	—
525	Q₈×C₁₃₉	—	4	4	no	—
526	D₄×C₁₃₉	—	2	8	no	—
527	D₄×C₁₃₉	—	2	8	no	—
528	D₄×C₁₃₉	—	2	8	no	—
529	D₄×C₁₃₉	—	2	8	no	—
530	D₄×C₁₃₉	—	4	8	no	—
531	D₄×C₁₃₉	—	4	8	no	—
532	D₄×C₁₃₉	—	4	8	no	—
533	D₄×C₁₃₉	—	4	8	no	—
534	D₄×C₁₃₉	—	4	4	no	—
535	D₄×C₁₃₉	—	8	4	no	—
536	C₂×C₄×C₁₃₉	—	2	8	no	—
537	C₂×C₄×C₁₃₉	—	2	1	no	—
538	C₂×C₄×C₁₃₉	—	2	1	no	—
539	C₂×C₄×C₁₃₉	—	2	1	no	—
540	C₂×C₄×C₁₃₉	—	2	2	no	—
541	C₂×C₄×C₁₃₉	—	2	1	no	—
542	C₂×C₄×C₁₃₉	—	2	2	no	—
543	C₂×C₄×C₁₃₉	—	2	1	no	—
544	C₂×C₄×C₁₃₉	—	2	1	no	—
545	C₂×C₄×C₁₃₉	—	2	1	no	—
546	C₂×C₄×C₁₃₉	—	2	1	no	—
547	C₂×C₄×C₁₃₉	—	2	1	no	—
548	C₂×C₄×C₁₃₉	—	2	1	no	—
549	C₂×C₄×C₁₃₉	—	2	2	no	—
550	C₂×C₄×C₁₃₉	—	2	1	no	—
551	C₂×C₄×C₁₃₉	—	2	1	no	—
552	C₂×C₄×C₁₃₉	—	2	2	no	—
553	C₂×C₄×C₁₃₉	—	2	8	no	—
554	C₂×C₄×C₁₃₉	—	2	8	no	—
555	C₂×C₄×C₁₃₉	—	2	8	no	—
556	C₂×C₄×C₁₃₉	—	2	1	no	—
557	C₂×C₄×C₁₃₉	—	2	2	no	—
558	C₂×C₄×C₁₃₉	—	2	2	no	—
559	C₂×C₄×C₁₃₉	—	2	2	no	—
560	C₂×C₄×C₁₃₉	—	2	2	no	—
561	C₂×C₄×C₁₃₉	—	2	1	no	—
562	C₂×C₄×C₁₃₉	—	2	1	no	—
563	C₂×C₄×C₁₃₉	—	2	1	no	—
564	C₂×C₄×C₁₃₉	—	2	2	no	—
565	C₂×C₄×C₁₃₉	—	2	1	no	—
566	C₂×C₄×C₁₃₉	—	2	2	no	—
567	C₂×C₄×C₁₃₉	—	2	2	no	—
568	C₂×C₄×C₁₃₉	—	2	2	no	—
569	C₂×C₄×C₁₃₉	—	2	2	no	—
570	C₂×C₄×C₁₃₉	—	2	2	no	—
571	C₂×C₄×C₁₃₉	—	2	2	no	—
572	C₂×C₄×C₁₃₉	—	2	1	no	—
573	C₂×C₄×C₁₃₉	—	2	2	no	—
574	C₂×C₄×C₁₃₉	—	2	1	no	—
575	C₂×C₄×C₁₃₉	—	2	1	no	—
576	C₂×C₄×C₁₃₉	—	2	2	no	—
577	C₂×C₄×C₁₃₉	—	2	2	no	—
578	C₂×C₄×C₁₃₉	—	2	2	no	—
579	C₂×C₄×C₁₃₉	—	2	1	no	—
580	C₂×C₄×C₁₃₉	—	4	4	no	—
581	C₂×C₄×C₁₃₉	—	4	4	no	—
582	C₂×C₄×C₁₃₉	—	4	8	no	—
583	C₂×C₄×C₁₃₉	—	4	8	no	—
584	C₂×C₄×C₁₃₉	—	4	4	no	—
585	C₂×C₄×C₁₃₉	—	4	4	no	—
586	C₂×C₄×C₁₃₉	—	4	4	no	—
587	C₂×C₄×C₁₃₉	—	4	4	no	—
588	C₂×C₄×C₁₃₉	—	4	4	no	—
589	C₂×C₄×C₁₃₉	—	4	8	no	—
590	C₂×C₄×C₁₃₉	—	4	4	no	—
591	C₂×C₄×C₁₃₉	—	4	4	no	—
592	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
593	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
594	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
595	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
596	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
597	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
598	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
599	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
600	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
601	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
602	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
603	C₂²×C₁₃₉	—	2	2	no	—
604	C₂²×C₁₃₉	—	2	2	no	—
605	C₂²×C₁₃₉	—	2	2	no	—
606	C₂²×C₁₃₉	—	2	2	no	—
607	C₂²×C₁₃₉	—	2	2	no	—
608	C₂²×C₁₃₉	—	2	2	no	—
609	C₂²×C₁₃₉	—	2	2	no	—
610	C₂²×C₁₃₉	—	2	2	no	—
611	C₂²×C₁₃₉	—	2	2	no	—
612	C₂²×C₁₃₉	—	2	2	no	—
613	C₂²×C₁₃₉	—	2	2	no	—
614	C₂²×C₁₃₉	—	2	2	no	—
615	C₂²×C₁₃₉	—	2	2	no	—
616	C₂²×C₁₃₉	—	2	2	no	—
617	C₂²×C₁₃₉	—	2	2	no	—
618	C₂²×C₁₃₉	—	2	2	no	—
619	C₂²×C₁₃₉	—	2	2	no	—
620	C₂²×C₁₃₉	—	2	2	no	—
621	C₂²×C₁₃₉	—	2	2	no	—
622	C₂²×C₁₃₉	—	2	2	no	—
623	C₂²×C₁₃₉	—	2	2	no	—
624	C₂²×C₁₃₉	—	4	16	no	—
625	C₂²×C₁₃₉	—	4	16	no	—
626	C₂²×C₁₃₉	—	4	1	no	—
627	C₂²×C₁₃₉	—	4	1	no	—
628	C₂²×C₁₃₉	—	4	1	no	—
629	C₂²×C₁₃₉	—	4	1	no	—
630	C₂²×C₁₃₉	—	4	1	no	—
631	C₂²×C₁₃₉	—	4	1	no	—
632	C₂²×C₁₃₉	—	4	1	no	—
633	C₂²×C₁₃₉	—	4	1	no	—
634	C₂²×C₁₃₉	—	4	1	no	—
635	C₂²×C₁₃₉	—	4	1	no	—
636	C₂²×C₁₃₉	—	4	1	no	—
637	C₂²×C₁₃₉	—	4	1	no	—
638	C₂²×C₁₃₉	—	4	2	no	—
639	C₂²×C₁₃₉	—	4	2	no	—
640	C₂²×C₁₃₉	—	4	2	no	—
641	C₂²×C₁₃₉	—	4	2	no	—
642	C₂²×C₁₃₉	—	4	2	no	—
643	C₂²×C₁₃₉	—	4	2	no	—
644	C₂²×C₁₃₉	—	4	2	no	—
645	C₂²×C₁₃₉	#525	1	4	yes	complemented
646	C₂²×C₁₃₉	#548	1	4	yes	complemented
647	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
648	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
649	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
650	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
651	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
652	C₂²×C₁₃₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
653	C₂²×C₁₃₉	#585	1	1	yes	characteristic
654	C₄×C₁₃₉	—	2	2	no	—
655	C₄×C₁₃₉	—	2	2	no	—
656	C₄×C₁₃₉	—	2	2	no	—
657	C₄×C₁₃₉	—	2	2	no	—
658	C₄×C₁₃₉	—	2	2	no	—
659	C₄×C₁₃₉	—	2	4	no	—
660	C₄×C₁₃₉	—	2	4	no	—
661	C₄×C₁₃₉	—	2	2	no	—
662	C₄×C₁₃₉	—	4	2	no	—
663	C₄×C₁₃₉	—	4	1	no	—
664	C₄×C₁₃₉	—	4	1	no	—
665	C₄×C₁₃₉	—	4	2	no	—
666	C₄×C₁₃₉	—	4	2	no	—
667	C₄×C₁₃₉	—	4	2	no	—
668	C₄×C₁₃₉	—	4	1	no	—
669	C₄×C₁₃₉	—	4	2	no	—
670	C₄×C₁₃₉	D₄²	1	4	yes	—
671	C₂×C₁₃₉	—	2	4	no	—
672	C₂×C₁₃₉	—	2	4	no	—
673	C₂×C₁₃₉	—	4	2	no	—
674	C₂×C₁₃₉	—	4	2	no	—
675	C₂×C₁₃₉	—	4	2	no	—
676	C₂×C₁₃₉	—	8	2	no	—
677	C₂×C₁₃₉	C₂×#525	1	1	yes	characteristic
678	C₂×C₁₃₉	C₂×D₄²	1	1	yes	characteristic
679	C₂×C₁₃₉	C₂×#548	1	1	yes	characteristic
680	C₂×C₁₃₉	D₄×#41	1	1	yes	characteristic
681	C₂×C₁₃₉	#3489	1	1	yes	characteristic
682	C₂×C₁₃₉	#3505	1	1	yes	characteristic
683	C₂×C₁₃₉	#3520	1	1	yes	characteristic
684	#36097	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
685	C₁₃₉	#36097	1	1	yes	characteristic, direct product factor, Sylow
686	C₂×#548	C₂×C₁₃₉	1	1	yes	characteristic, complemented
687	C₂×#525	C₂×C₁₃₉	1	1	yes	characteristic, complemented
688	C₂²×C₂²⋊Q₈	C₂×C₁₃₉	1	1	yes	characteristic, complemented
689	C₂²×C₄×D₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
690	#2850	C₂×C₁₃₉	1	1	yes	characteristic, complemented
691	#2848	C₂×C₁₃₉	1	1	yes	characteristic, complemented
692	#2847	C₂×C₁₃₉	1	1	yes	characteristic, complemented
693	#2540	C₂×C₁₃₉	1	1	yes	characteristic, complemented
694	#2536	C₂×C₁₃₉	1	1	yes	characteristic, complemented
695	#2472	C₂×C₁₃₉	1	2	yes	complemented
696	#2463	C₂×C₁₃₉	1	2	yes	complemented
697	#2461	C₂×C₁₃₉	1	2	yes	complemented
698	#2449	C₂×C₁₃₉	1	2	yes	complemented
699	#2443	C₂×C₁₃₉	1	2	yes	complemented
700	#2416	C₂×C₁₃₉	1	1	yes	characteristic, complemented
701	#2415	C₂×C₁₃₉	1	1	yes	characteristic, complemented
702	#2410	C₂×C₁₃₉	1	2	yes	complemented
703	#2409	C₂×C₁₃₉	1	1	yes	characteristic, complemented
704	#2407	C₂×C₁₃₉	1	1	yes	characteristic, complemented
705	#2361	C₂×C₁₃₉	1	2	yes	complemented
706	#2358	C₂×C₁₃₉	1	2	yes	complemented
707	#2352	C₂×C₁₃₉	1	1	yes	characteristic, complemented
708	C₄×C₂²⋊Q₈	C₂×C₁₃₉	1	1	yes	characteristic, complemented
709	C₂²×#41	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
710	C₂³×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
711	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
712	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic
713	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic
714	#548	—	2	8	no	—
715	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
716	C₂×#124	C₂²×C₁₃₉	1	2	yes	complemented
717	#525	—	2	8	no	—
718	C₂×#123	C₂²×C₁₃₉	1	2	yes	complemented
719	C₂×C₂²⋊Q₈	—	2	8	no	—
720	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
721	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	—
722	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
723	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
724	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
725	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
726	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
727	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	complemented
728	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	complemented
729	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
730	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
731	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
732	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
733	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
734	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
735	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
736	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
737	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
738	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
739	C₂×C₄×D₄	—	2	8	no	—
740	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
741	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
742	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
743	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
744	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
745	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
746	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
747	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
748	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
749	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
750	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	complemented
751	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
752	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
753	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
754	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
755	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
756	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
757	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
758	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
759	#399	C₂²×C₁₃₉	1	2	yes	complemented
760	#398	C₂²×C₁₃₉	1	2	yes	complemented
761	#397	C₂²×C₁₃₉	1	2	yes	complemented
762	#396	C₂²×C₁₃₉	1	2	yes	complemented
763	#395	C₂²×C₁₃₉	1	2	yes	complemented
764	#394	C₂²×C₁₃₉	1	2	yes	—
765	#394	C₂²×C₁₃₉	1	2	yes	—
766	#394	C₂²×C₁₃₉	1	2	yes	complemented
767	#394	C₂²×C₁₃₉	1	2	yes	complemented
768	#393	C₂²×C₁₃₉	1	2	yes	complemented
769	#392	C₂²×C₁₃₉	1	2	yes	—
770	#392	C₂²×C₁₃₉	1	2	yes	—
771	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
772	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
773	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
774	#390	C₂²×C₁₃₉	1	2	yes	complemented
775	#390	C₂²×C₁₃₉	1	2	yes	complemented
776	#389	C₂²×C₁₃₉	1	2	yes	complemented
777	#389	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
778	#388	C₂²×C₁₃₉	1	2	yes	complemented
779	#388	C₂²×C₁₃₉	1	2	yes	complemented
780	#388	C₂²×C₁₃₉	1	2	yes	complemented
781	#388	C₂²×C₁₃₉	1	2	yes	complemented
782	#388	C₂²×C₁₃₉	1	2	yes	complemented
783	#388	C₂²×C₁₃₉	1	2	yes	complemented
784	#387	C₂²×C₁₃₉	1	2	yes	complemented
785	#387	C₂²×C₁₃₉	1	2	yes	complemented
786	#386	C₂²×C₁₃₉	1	2	yes	—
787	#386	C₂²×C₁₃₉	1	2	yes	—
788	#386	C₂²×C₁₃₉	1	2	yes	—
789	#386	C₂²×C₁₃₉	1	2	yes	—
790	#386	C₂²×C₁₃₉	1	2	yes	—
791	#386	C₂²×C₁₃₉	1	2	yes	complemented
792	#386	C₂²×C₁₃₉	1	2	yes	complemented
793	#386	C₂²×C₁₃₉	1	2	yes	complemented
794	#386	C₂²×C₁₃₉	1	2	yes	complemented
795	#385	C₂²×C₁₃₉	1	2	yes	—
796	#385	C₂²×C₁₃₉	1	2	yes	—
797	#385	C₂²×C₁₃₉	1	2	yes	complemented
798	#385	C₂²×C₁₃₉	1	2	yes	complemented
799	#385	C₂²×C₁₃₉	1	2	yes	complemented
800	#385	C₂²×C₁₃₉	1	2	yes	complemented
801	#382	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
802	#380	C₂²×C₁₃₉	1	1	yes	characteristic
803	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
804	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
805	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
806	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
807	#379	C₂²×C₁₃₉	1	2	yes	—
808	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
809	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
810	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
811	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
812	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
813	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
814	C₂×#41	—	2	4	no	—
815	C₂×#41	—	2	4	no	—
816	C₂×#41	—	4	2	no	—
817	C₂²×Q₈	—	2	4	no	—
818	C₂²×Q₈	—	2	4	no	—
819	C₂²×Q₈	—	4	2	no	—
820	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
821	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
822	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
823	C₂²×D₄	—	2	4	no	—
824	C₂²×D₄	—	2	4	no	—
825	C₂²×D₄	—	2	4	no	—
826	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
827	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
828	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
829	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
830	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
831	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
832	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
833	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
834	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
835	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
836	C₂³×C₄	—	2	4	no	—
837	C₂³×C₄	—	2	4	no	—
838	C₂³×C₄	—	2	4	no	—
839	C₂³×C₄	—	2	4	no	—
840	C₂³×C₄	—	4	2	no	—
841	C₂³×C₄	—	4	2	no	—
842	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
843	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
844	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
845	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
846	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
847	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
848	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
849	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
850	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
851	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
852	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
853	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
854	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
855	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
856	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
857	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
858	#124	—	2	8	no	—
859	#124	—	2	4	no	—
860	#123	—	2	8	no	—
861	C₂²⋊Q₈	—	2	4	no	—
862	C₂²⋊Q₈	—	2	4	no	—
863	C₂²⋊Q₈	—	2	4	no	—
864	C₂²⋊Q₈	—	2	4	no	—
865	C₂²⋊Q₈	—	2	8	no	—
866	C₂²⋊Q₈	—	2	4	no	—
867	C₂²⋊Q₈	—	2	8	no	—
868	C₂²⋊Q₈	—	2	8	no	—
869	C₂²⋊Q₈	—	4	2	no	—
870	C₂²⋊Q₈	D₄×C₁₃₉	1	8	yes	complemented
871	#121	—	2	8	no	—
872	#121	—	2	8	no	—
873	#121	—	2	4	no	—
874	#121	—	2	4	no	—
875	#121	—	2	4	no	—
876	#121	—	4	2	no	—
877	#120	—	2	8	no	—
878	#120	—	2	8	no	—
879	C₄×Q₈	—	2	4	no	—
880	C₄×D₄	—	2	4	no	—
881	C₄×D₄	—	2	4	no	—
882	C₄×D₄	—	2	4	no	—
883	C₄×D₄	—	2	4	no	—
884	C₄×D₄	—	2	8	no	—
885	C₄×D₄	—	2	4	no	—
886	C₄×D₄	—	2	4	no	—
887	C₄×D₄	—	2	8	no	—
888	C₄×D₄	—	2	8	no	—
889	C₄×D₄	—	2	4	no	—
890	C₄×D₄	D₄×C₁₃₉	1	8	yes	complemented
891	#117	—	2	4	no	—
892	C₂×C₄⋊C₄	—	2	4	no	—
893	C₂×C₄⋊C₄	—	2	4	no	—
894	C₂×C₄⋊C₄	—	2	8	no	—
895	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
896	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
897	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
898	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
899	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
900	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
901	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
902	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
903	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
904	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
905	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
906	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
907	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
908	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
909	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
910	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
911	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
912	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
913	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
914	C₂×C₂²⋊C₄	—	2	4	no	—
915	C₂×C₂²⋊C₄	—	2	4	no	—
916	C₂×C₂²⋊C₄	—	2	8	no	—
917	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
918	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
919	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
920	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
921	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
922	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
923	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
924	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
925	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
926	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
927	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
928	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
929	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
930	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
931	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
932	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
933	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
934	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
935	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
936	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
937	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
938	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
939	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
940	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
941	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
942	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
943	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
944	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
945	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
946	C₂×C₄²	—	2	4	no	—
947	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
948	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
949	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
950	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
951	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
952	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
953	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
954	#95	C₂³×C₁₃₉	1	2	yes	—
955	#95	C₂³×C₁₃₉	1	2	yes	—
956	#95	C₂³×C₁₃₉	1	2	yes	—
957	#95	C₂³×C₁₃₉	1	2	yes	—
958	#95	C₂³×C₁₃₉	1	2	yes	—
959	#95	C₂³×C₁₃₉	1	2	yes	—
960	#95	C₂³×C₁₃₉	1	2	yes	—
961	#95	C₂³×C₁₃₉	1	2	yes	—
962	#95	C₂³×C₁₃₉	1	2	yes	—
963	#95	C₂³×C₁₃₉	1	2	yes	—
964	#95	C₂³×C₁₃₉	1	2	yes	—
965	#95	C₂³×C₁₃₉	1	2	yes	—
966	#95	C₂³×C₁₃₉	1	2	yes	—
967	C₂⁴	—	2	2	no	—
968	C₂⁴	—	2	2	no	—
969	C₂⁴	—	2	2	no	—
970	C₂⁴	—	2	2	no	—
971	C₂⁴	—	2	2	no	—
972	C₂⁴	—	2	2	no	—
973	C₂⁴	—	2	2	no	—
974	C₂⁴	—	2	2	no	—
975	C₂⁴	—	2	2	no	—
976	C₂⁴	—	4	1	no	—
977	C₂⁴	—	4	1	no	—
978	C₂⁴	—	4	1	no	—
979	C₂⁴	—	4	1	no	—
980	C₂⁴	#41×C₁₃₉	1	4	yes	complemented
981	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
982	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
983	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
984	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
985	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
986	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
987	#41	—	4	16	no	—
988	C₂×Q₈	—	2	2	no	—
989	C₂×Q₈	—	2	4	no	—
990	C₂×Q₈	—	2	2	no	—
991	C₂×Q₈	—	2	4	no	—
992	C₂×Q₈	—	2	2	no	—
993	C₂×Q₈	—	2	2	no	—
994	C₂×Q₈	—	2	2	no	—
995	C₂×Q₈	—	4	2	no	—
996	C₂×Q₈	—	4	16	no	—
997	C₂×Q₈	C₂×D₄×C₁₃₉	1	4	yes	complemented
998	C₂×D₄	—	2	32	no	—
999	C₂×D₄	—	2	2	no	—
1000	C₂×D₄	—	2	2	no	—
1001	C₂×D₄	—	2	2	no	—
1002	C₂×D₄	—	2	2	no	—
1003	C₂×D₄	—	2	2	no	—
1004	C₂×D₄	—	2	2	no	—
1005	C₂×D₄	—	2	2	no	—
1006	C₂×D₄	—	2	2	no	—
1007	C₂×D₄	—	2	4	no	—
1008	C₂×D₄	—	2	4	no	—
1009	C₂×D₄	—	2	4	no	—
1010	C₂×D₄	—	2	4	no	—
1011	C₂×D₄	—	2	4	no	—
1012	C₂×D₄	—	2	4	no	—
1013	C₂×D₄	—	2	4	no	—
1014	C₂×D₄	—	2	4	no	—
1015	C₂×D₄	—	2	4	no	—
1016	C₂×D₄	—	2	2	no	—
1017	C₂×D₄	—	2	4	no	—
1018	C₂×D₄	—	2	4	no	—
1019	C₂×D₄	—	2	2	no	—
1020	C₂×D₄	—	2	2	no	—
1021	C₂×D₄	—	2	2	no	—
1022	C₂×D₄	—	2	2	no	—
1023	C₂×D₄	—	4	2	no	—
1024	C₂×D₄	—	4	2	no	—
1025	C₂×D₄	—	4	2	no	—
1026	C₂×D₄	—	4	2	no	—
1027	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
1028	C₂×D₄	#41×C₁₃₉	1	4	yes	complemented
1029	C₂²×C₄	—	2	2	no	—
1030	C₂²×C₄	—	2	2	no	—
1031	C₂²×C₄	—	2	2	no	—
1032	C₂²×C₄	—	2	2	no	—
1033	C₂²×C₄	—	2	2	no	—
1034	C₂²×C₄	—	2	2	no	—
1035	C₂²×C₄	—	2	2	no	—
1036	C₂²×C₄	—	2	2	no	—
1037	C₂²×C₄	—	2	2	no	—
1038	C₂²×C₄	—	2	2	no	—
1039	C₂²×C₄	—	2	2	no	—
1040	C₂²×C₄	—	2	2	no	—
1041	C₂²×C₄	—	2	4	no	—
1042	C₂²×C₄	—	2	2	no	—
1043	C₂²×C₄	—	2	4	no	—
1044	C₂²×C₄	—	2	2	no	—
1045	C₂²×C₄	—	2	2	no	—
1046	C₂²×C₄	—	2	4	no	—
1047	C₂²×C₄	—	2	2	no	—
1048	C₂²×C₄	—	2	2	no	—
1049	C₂²×C₄	—	2	4	no	—
1050	C₂²×C₄	—	2	2	no	—
1051	C₂²×C₄	—	2	2	no	—
1052	C₂²×C₄	—	2	2	no	—
1053	C₂²×C₄	—	2	2	no	—
1054	C₂²×C₄	—	2	2	no	—
1055	C₂²×C₄	—	2	2	no	—
1056	C₂²×C₄	—	2	4	no	—
1057	C₂²×C₄	—	2	4	no	—
1058	C₂²×C₄	—	2	2	no	—
1059	C₂²×C₄	—	2	2	no	—
1060	C₂²×C₄	—	2	2	no	—
1061	C₂²×C₄	—	2	2	no	—
1062	C₂²×C₄	—	2	2	no	—
1063	C₂²×C₄	—	2	2	no	—
1064	C₂²×C₄	—	4	1	no	—
1065	C₂²×C₄	—	4	1	no	—
1066	C₂²×C₄	—	4	1	no	—
1067	C₂²×C₄	—	4	1	no	—
1068	C₂²×C₄	—	4	1	no	—
1069	C₂²×C₄	—	4	1	no	—
1070	C₂²×C₄	—	4	1	no	—
1071	C₂²×C₄	—	4	2	no	—
1072	C₂²×C₄	—	4	2	no	—
1073	C₂²×C₄	—	4	2	no	—
1074	C₂²×C₄	—	4	16	no	—
1075	C₂²×C₄	—	4	16	no	—
1076	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1077	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1078	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1079	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1080	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1081	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1082	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1083	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1084	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1085	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1086	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1087	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1088	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1089	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1090	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1091	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1092	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
1093	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1094	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1095	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
1096	C₄⋊C₄	—	2	2	no	—
1097	C₄⋊C₄	—	2	2	no	—
1098	C₄⋊C₄	—	2	2	no	—
1099	C₄⋊C₄	—	2	4	no	—
1100	C₄⋊C₄	—	2	2	no	—
1101	C₄⋊C₄	—	2	4	no	—
1102	C₄⋊C₄	—	2	4	no	—
1103	C₄⋊C₄	—	2	4	no	—
1104	C₄⋊C₄	—	2	2	no	—
1105	C₄⋊C₄	—	2	4	no	—
1106	C₄⋊C₄	—	2	4	no	—
1107	C₄⋊C₄	—	2	4	no	—
1108	C₄⋊C₄	—	2	2	no	—
1109	C₄⋊C₄	—	2	4	no	—
1110	C₄⋊C₄	—	2	2	no	—
1111	C₄⋊C₄	—	4	2	no	—
1112	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1113	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	complemented
1114	C₄⋊C₄	C₂×D₄×C₁₃₉	1	8	yes	complemented
1115	C₂²⋊C₄	—	2	2	no	—
1116	C₂²⋊C₄	—	2	2	no	—
1117	C₂²⋊C₄	—	2	4	no	—
1118	C₂²⋊C₄	—	2	4	no	—
1119	C₂²⋊C₄	—	2	4	no	—
1120	C₂²⋊C₄	—	2	4	no	—
1121	C₂²⋊C₄	—	2	4	no	—
1122	C₂²⋊C₄	—	2	4	no	—
1123	C₂²⋊C₄	—	2	2	no	—
1124	C₂²⋊C₄	—	2	2	no	—
1125	C₂²⋊C₄	—	2	2	no	—
1126	C₂²⋊C₄	—	2	2	no	—
1127	C₂²⋊C₄	—	2	4	no	—
1128	C₂²⋊C₄	—	2	4	no	—
1129	C₂²⋊C₄	—	2	4	no	—
1130	C₂²⋊C₄	—	2	4	no	—
1131	C₂²⋊C₄	—	2	4	no	—
1132	C₂²⋊C₄	—	2	4	no	—
1133	C₂²⋊C₄	—	2	4	no	—
1134	C₂²⋊C₄	—	2	4	no	—
1135	C₂²⋊C₄	—	2	4	no	—
1136	C₂²⋊C₄	—	2	4	no	—
1137	C₂²⋊C₄	—	4	2	no	—
1138	C₂²⋊C₄	—	4	2	no	—
1139	C₂²⋊C₄	—	4	2	no	—
1140	C₂²⋊C₄	—	4	2	no	—
1141	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1142	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
1143	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	8	yes	—
1144	C₄²	—	2	2	no	—
1145	C₄²	—	2	2	no	—
1146	C₄²	—	2	2	no	—
1147	C₄²	—	2	4	no	—
1148	C₄²	—	2	4	no	—
1149	C₄²	—	4	2	no	—
1150	C₄²	C₂×D₄×C₁₃₉	1	4	yes	—
1151	C₂³	—	2	1	no	—
1152	C₂³	—	2	1	no	—
1153	C₂³	—	2	1	no	—
1154	C₂³	—	2	1	no	—
1155	C₂³	—	2	1	no	—
1156	C₂³	—	2	1	no	—
1157	C₂³	—	2	1	no	—
1158	C₂³	—	2	1	no	—
1159	C₂³	—	2	8	no	—
1160	C₂³	—	2	8	no	—
1161	C₂³	—	2	8	no	—
1162	C₂³	—	2	1	no	—
1163	C₂³	—	2	1	no	—
1164	C₂³	—	2	1	no	—
1165	C₂³	—	2	1	no	—
1166	C₂³	—	2	1	no	—
1167	C₂³	—	2	1	no	—
1168	C₂³	—	2	1	no	—
1169	C₂³	—	2	1	no	—
1170	C₂³	—	2	1	no	—
1171	C₂³	—	2	1	no	—
1172	C₂³	—	2	1	no	—
1173	C₂³	—	2	1	no	—
1174	C₂³	—	2	1	no	—
1175	C₂³	—	2	1	no	—
1176	C₂³	—	2	1	no	—
1177	C₂³	—	2	1	no	—
1178	C₂³	—	2	1	no	—
1179	C₂³	—	2	1	no	—
1180	C₂³	—	2	2	no	—
1181	C₂³	—	2	2	no	—
1182	C₂³	—	2	2	no	—
1183	C₂³	—	2	2	no	—
1184	C₂³	—	2	2	no	—
1185	C₂³	—	2	2	no	—
1186	C₂³	—	2	2	no	—
1187	C₂³	—	4	4	no	—
1188	C₂³	—	4	4	no	—
1189	C₂³	—	4	4	no	—
1190	C₂³	—	4	4	no	—
1191	C₂³	—	4	4	no	—
1192	C₂³	—	4	4	no	—
1193	C₂³	—	4	4	no	—
1194	C₂³	—	4	4	no	—
1195	C₂³	—	4	4	no	—
1196	C₂³	—	4	4	no	—
1197	C₂³	—	4	4	no	—
1198	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1199	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1200	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1201	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1202	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1203	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1204	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1205	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1206	C₂³	2₋¹⁺⁴×C₁₃₉	1	2	yes	—
1207	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
1208	Q₈	—	2	8	no	—
1209	Q₈	—	4	8	no	—
1210	Q₈	—	4	4	no	—
1211	D₄	—	2	8	no	—
1212	D₄	—	2	8	no	—
1213	D₄	—	2	8	no	—
1214	D₄	—	2	8	no	—
1215	D₄	—	4	8	no	—
1216	D₄	—	4	8	no	—
1217	D₄	—	4	8	no	—
1218	D₄	—	4	8	no	—
1219	D₄	—	4	4	no	—
1220	D₄	—	8	4	no	—
1221	C₂×C₄	—	2	8	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	2	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	2	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	2	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	2	no	—
1238	C₂×C₄	—	2	8	no	—
1239	C₂×C₄	—	2	8	no	—
1240	C₂×C₄	—	2	8	no	—
1241	C₂×C₄	—	2	1	no	—
1242	C₂×C₄	—	2	2	no	—
1243	C₂×C₄	—	2	2	no	—
1244	C₂×C₄	—	2	2	no	—
1245	C₂×C₄	—	2	2	no	—
1246	C₂×C₄	—	2	1	no	—
1247	C₂×C₄	—	2	1	no	—
1248	C₂×C₄	—	2	1	no	—
1249	C₂×C₄	—	2	2	no	—
1250	C₂×C₄	—	2	1	no	—
1251	C₂×C₄	—	2	2	no	—
1252	C₂×C₄	—	2	2	no	—
1253	C₂×C₄	—	2	2	no	—
1254	C₂×C₄	—	2	2	no	—
1255	C₂×C₄	—	2	2	no	—
1256	C₂×C₄	—	2	2	no	—
1257	C₂×C₄	—	2	1	no	—
1258	C₂×C₄	—	2	2	no	—
1259	C₂×C₄	—	2	1	no	—
1260	C₂×C₄	—	2	1	no	—
1261	C₂×C₄	—	2	2	no	—
1262	C₂×C₄	—	2	2	no	—
1263	C₂×C₄	—	2	2	no	—
1264	C₂×C₄	—	2	1	no	—
1265	C₂×C₄	—	4	4	no	—
1266	C₂×C₄	—	4	4	no	—
1267	C₂×C₄	—	4	8	no	—
1268	C₂×C₄	—	4	4	no	—
1269	C₂×C₄	—	4	4	no	—
1270	C₂×C₄	—	4	4	no	—
1271	C₂×C₄	—	4	4	no	—
1272	C₂×C₄	—	4	8	no	—
1273	C₂×C₄	—	4	8	no	—
1274	C₂×C₄	—	4	4	no	—
1275	C₂×C₄	—	4	4	no	—
1276	C₂×C₄	—	4	4	no	—
1277	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1278	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1279	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
1280	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1281	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
1282	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1283	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1284	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1285	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1286	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1287	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1288	C₂²	—	2	2	no	—
1289	C₂²	—	2	2	no	—
1290	C₂²	—	2	2	no	—
1291	C₂²	—	2	2	no	—
1292	C₂²	—	2	2	no	—
1293	C₂²	—	2	2	no	—
1294	C₂²	—	2	2	no	—
1295	C₂²	—	2	2	no	—
1296	C₂²	—	2	2	no	—
1297	C₂²	—	2	2	no	—
1298	C₂²	—	2	2	no	—
1299	C₂²	—	2	2	no	—
1300	C₂²	—	2	2	no	—
1301	C₂²	—	2	2	no	—
1302	C₂²	—	2	2	no	—
1303	C₂²	—	2	2	no	—
1304	C₂²	—	2	2	no	—
1305	C₂²	—	2	2	no	—
1306	C₂²	—	2	2	no	—
1307	C₂²	—	2	2	no	—
1308	C₂²	—	2	2	no	—
1309	C₂²	—	4	16	no	—
1310	C₂²	—	4	16	no	—
1311	C₂²	—	4	1	no	—
1312	C₂²	—	4	1	no	—
1313	C₂²	—	4	1	no	—
1314	C₂²	—	4	1	no	—
1315	C₂²	—	4	1	no	—
1316	C₂²	—	4	1	no	—
1317	C₂²	—	4	1	no	—
1318	C₂²	—	4	1	no	—
1319	C₂²	—	4	1	no	—
1320	C₂²	—	4	1	no	—
1321	C₂²	—	4	1	no	—
1322	C₂²	—	4	1	no	—
1323	C₂²	—	4	2	no	—
1324	C₂²	—	4	2	no	—
1325	C₂²	—	4	2	no	—
1326	C₂²	—	4	2	no	—
1327	C₂²	—	4	2	no	—
1328	C₂²	—	4	2	no	—
1329	C₂²	—	4	2	no	—
1330	C₂²	#525×C₁₃₉	1	4	yes	complemented
1331	C₂²	#548×C₁₃₉	1	4	yes	complemented
1332	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1333	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1334	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1335	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1336	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1337	C₂²	C₂×2₋¹⁺⁴×C₁₃₉	1	1	yes	characteristic
1338	C₂²	#585×C₁₃₉	1	1	yes	characteristic
1339	C₄	—	2	2	no	—
1340	C₄	—	2	2	no	—
1341	C₄	—	2	2	no	—
1342	C₄	—	2	2	no	—
1343	C₄	—	2	2	no	—
1344	C₄	—	2	4	no	—
1345	C₄	—	2	4	no	—
1346	C₄	—	2	2	no	—
1347	C₄	—	4	2	no	—
1348	C₄	—	4	1	no	—
1349	C₄	—	4	1	no	—
1350	C₄	—	4	2	no	—
1351	C₄	—	4	2	no	—
1352	C₄	—	4	2	no	—
1353	C₄	—	4	1	no	—
1354	C₄	—	4	2	no	—
1355	C₄	D₄²×C₁₃₉	1	4	yes	—
1356	C₂	—	2	4	no	—
1357	C₂	—	2	4	no	—
1358	C₂	—	4	2	no	—
1359	C₂	—	4	2	no	—
1360	C₂	—	4	2	no	—
1361	C₂	—	8	2	no	—
1362	C₂	C₂×#525×C₁₃₉	1	1	yes	characteristic
1363	C₂	C₂×D₄²×C₁₃₉	1	1	yes	characteristic
1364	C₂	C₂×#548×C₁₃₉	1	1	yes	characteristic
1365	C₂	D₄×#41×C₁₃₉	1	1	yes	characteristic
1366	C₂	#3489×C₁₃₉	1	1	yes	characteristic
1367	C₂	#3505×C₁₃₉	1	1	yes	characteristic
1368	C₂	#3520×C₁₃₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×#548×C₁₃₉	C₂	semidirect
2. C₂×#525×C₁₃₉	C₂	semidirect
3. C₂²×C₂²⋊Q₈×C₁₃₉	C₂	semidirect
4. C₂²×C₄×D₄×C₁₃₉	C₂	semidirect
5. #2850×C₁₃₉	C₂	semidirect
6. #2848×C₁₃₉	C₂	semidirect
7. #2847×C₁₃₉	C₂	semidirect
8. #2540×C₁₃₉	C₂	semidirect
9. #2536×C₁₃₉	C₂	semidirect
10. #2472×C₁₃₉	C₂	semidirect
11. #2463×C₁₃₉	C₂	semidirect
12. #2461×C₁₃₉	C₂	semidirect
13. #2449×C₁₃₉	C₂	semidirect
14. #2443×C₁₃₉	C₂	semidirect
15. #2416×C₁₃₉	C₂	semidirect
16. #2415×C₁₃₉	C₂	semidirect
17. #2410×C₁₃₉	C₂	semidirect
18. #2409×C₁₃₉	C₂	semidirect
19. #2407×C₁₃₉	C₂	semidirect
20. #2361×C₁₃₉	C₂	semidirect
21. #2358×C₁₃₉	C₂	semidirect
22. #2352×C₁₃₉	C₂	semidirect
23. C₄×C₂²⋊Q₈×C₁₃₉	C₂	semidirect
24. C₂²×#41×C₁₃₉	C₂²	semidirect
25. C₂³×Q₈×C₁₃₉	C₂²	semidirect
30. C₂×#124×C₁₃₉	C₂²	semidirect
31. C₂×#124×C₁₃₉	C₂²	semidirect
33. C₂×#123×C₁₃₉	C₂²	semidirect
38. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
39. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
40. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
41. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
42. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
43. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
44. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
48. C₂×#121×C₁₃₉	C₂²	semidirect
49. C₂×#121×C₁₃₉	C₂²	semidirect
50. C₂×#121×C₁₃₉	C₂²	semidirect
53. C₂×C₄×Q₈×C₁₃₉	C₂²	semidirect
64. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
65. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
66. C₂×#117×C₁₃₉	C₂²	semidirect
68. C₂²×C₄⋊C₄×C₁₃₉	C₂²	semidirect
69. C₂²×C₄⋊C₄×C₁₃₉	C₂²	semidirect
74. #399×C₁₃₉	C₂²	semidirect
75. #398×C₁₃₉	C₂²	semidirect
76. #397×C₁₃₉	C₂²	semidirect
77. #396×C₁₃₉	C₂²	semidirect
78. #395×C₁₃₉	C₂²	semidirect
81. #394×C₁₃₉	C₂²	semidirect
82. #394×C₁₃₉	C₂²	semidirect
83. #393×C₁₃₉	C₂²	semidirect
86. #391×C₁₃₉	C₂²	semidirect
87. #391×C₁₃₉	C₂²	semidirect
88. #390×C₁₃₉	C₂²	semidirect
89. #390×C₁₃₉	C₂²	semidirect
90. #390×C₁₃₉	C₂²	semidirect
91. #389×C₁₃₉	C₂²	semidirect
92. #389×C₁₃₉	C₂²	semidirect
93. #388×C₁₃₉	C₂²	semidirect
94. #388×C₁₃₉	C₂²	semidirect
95. #388×C₁₃₉	C₂²	semidirect
96. #388×C₁₃₉	C₂²	semidirect
97. #388×C₁₃₉	C₂²	semidirect
98. #388×C₁₃₉	C₂²	semidirect
99. #387×C₁₃₉	C₂²	semidirect
100. #387×C₁₃₉	C₂²	semidirect
106. #386×C₁₃₉	C₂²	semidirect
107. #386×C₁₃₉	C₂²	semidirect
108. #386×C₁₃₉	C₂²	semidirect
109. #386×C₁₃₉	C₂²	semidirect
112. #385×C₁₃₉	C₂²	semidirect
113. #385×C₁₃₉	C₂²	semidirect
114. #385×C₁₃₉	C₂²	semidirect
115. #385×C₁₃₉	C₂²	semidirect
116. #382×C₁₃₉	C₂²	semidirect
118. #380×C₁₃₉	C₂²	semidirect
119. #380×C₁₃₉	C₂²	semidirect
120. #380×C₁₃₉	C₂²	semidirect
121. #380×C₁₃₉	C₂²	semidirect
123. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
124. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
126. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
185. C₂²⋊Q₈×C₁₃₉	D₄	semidirect
205. C₄×D₄×C₁₃₉	D₄	semidirect
295. C₂⁴×C₁₃₉	#41	semidirect
312. C₂×Q₈×C₁₃₉	C₂×D₄	semidirect
343. C₂×D₄×C₁₃₉	#41	semidirect
428. C₄⋊C₄×C₁₃₉	C₂×D₄	semidirect
429. C₄⋊C₄×C₁₃₉	C₂×D₄	semidirect
645. C₂²×C₁₃₉	#525	semidirect
646. C₂²×C₁₃₉	#548	semidirect
684. #36097	C₁₃₉	direct (N × H)
685. C₁₃₉	#36097	direct (N × H)
686. C₂×#548	C₂×C₁₃₉	semidirect
687. C₂×#525	C₂×C₁₃₉	semidirect
688. C₂²×C₂²⋊Q₈	C₂×C₁₃₉	semidirect
689. C₂²×C₄×D₄	C₂×C₁₃₉	semidirect
690. #2850	C₂×C₁₃₉	semidirect
691. #2848	C₂×C₁₃₉	semidirect
692. #2847	C₂×C₁₃₉	semidirect
693. #2540	C₂×C₁₃₉	semidirect
694. #2536	C₂×C₁₃₉	semidirect
695. #2472	C₂×C₁₃₉	semidirect
696. #2463	C₂×C₁₃₉	semidirect
697. #2461	C₂×C₁₃₉	semidirect
698. #2449	C₂×C₁₃₉	semidirect
699. #2443	C₂×C₁₃₉	semidirect
700. #2416	C₂×C₁₃₉	semidirect
701. #2415	C₂×C₁₃₉	semidirect
702. #2410	C₂×C₁₃₉	semidirect
703. #2409	C₂×C₁₃₉	semidirect
704. #2407	C₂×C₁₃₉	semidirect
705. #2361	C₂×C₁₃₉	semidirect
706. #2358	C₂×C₁₃₉	semidirect
707. #2352	C₂×C₁₃₉	semidirect
708. C₄×C₂²⋊Q₈	C₂×C₁₃₉	semidirect
709. C₂²×#41	C₂²×C₁₃₉	semidirect
710. C₂³×Q₈	C₂²×C₁₃₉	semidirect
715. C₂×#124	C₂²×C₁₃₉	semidirect
716. C₂×#124	C₂²×C₁₃₉	semidirect
718. C₂×#123	C₂²×C₁₃₉	semidirect
723. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
724. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
725. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
726. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
727. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
728. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
729. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
733. C₂×#121	C₂²×C₁₃₉	semidirect
734. C₂×#121	C₂²×C₁₃₉	semidirect
735. C₂×#121	C₂²×C₁₃₉	semidirect
738. C₂×C₄×Q₈	C₂²×C₁₃₉	semidirect
749. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
750. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
751. C₂×#117	C₂²×C₁₃₉	semidirect
753. C₂²×C₄⋊C₄	C₂²×C₁₃₉	semidirect
754. C₂²×C₄⋊C₄	C₂²×C₁₃₉	semidirect
759. #399	C₂²×C₁₃₉	semidirect
760. #398	C₂²×C₁₃₉	semidirect
761. #397	C₂²×C₁₃₉	semidirect
762. #396	C₂²×C₁₃₉	semidirect
763. #395	C₂²×C₁₃₉	semidirect
766. #394	C₂²×C₁₃₉	semidirect
767. #394	C₂²×C₁₃₉	semidirect
768. #393	C₂²×C₁₃₉	semidirect
771. #391	C₂²×C₁₃₉	semidirect
772. #391	C₂²×C₁₃₉	semidirect
773. #390	C₂²×C₁₃₉	semidirect
774. #390	C₂²×C₁₃₉	semidirect
775. #390	C₂²×C₁₃₉	semidirect
776. #389	C₂²×C₁₃₉	semidirect
777. #389	C₂²×C₁₃₉	semidirect
778. #388	C₂²×C₁₃₉	semidirect
779. #388	C₂²×C₁₃₉	semidirect
780. #388	C₂²×C₁₃₉	semidirect
781. #388	C₂²×C₁₃₉	semidirect
782. #388	C₂²×C₁₃₉	semidirect
783. #388	C₂²×C₁₃₉	semidirect
784. #387	C₂²×C₁₃₉	semidirect
785. #387	C₂²×C₁₃₉	semidirect
791. #386	C₂²×C₁₃₉	semidirect
792. #386	C₂²×C₁₃₉	semidirect
793. #386	C₂²×C₁₃₉	semidirect
794. #386	C₂²×C₁₃₉	semidirect
797. #385	C₂²×C₁₃₉	semidirect
798. #385	C₂²×C₁₃₉	semidirect
799. #385	C₂²×C₁₃₉	semidirect
800. #385	C₂²×C₁₃₉	semidirect
801. #382	C₂²×C₁₃₉	semidirect
803. #380	C₂²×C₁₃₉	semidirect
804. #380	C₂²×C₁₃₉	semidirect
805. #380	C₂²×C₁₃₉	semidirect
806. #380	C₂²×C₁₃₉	semidirect
808. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
809. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
811. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
870. C₂²⋊Q₈	D₄×C₁₃₉	semidirect
890. C₄×D₄	D₄×C₁₃₉	semidirect
980. C₂⁴	#41×C₁₃₉	semidirect
997. C₂×Q₈	C₂×D₄×C₁₃₉	semidirect
1028. C₂×D₄	#41×C₁₃₉	semidirect
1113. C₄⋊C₄	C₂×D₄×C₁₃₉	semidirect
1114. C₄⋊C₄	C₂×D₄×C₁₃₉	semidirect
1330. C₂²	#525×C₁₃₉	semidirect
1331. C₂²	#548×C₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
C₂×#548×C₁₃₉	2
C₂×#525×C₁₃₉	2
C₂²×C₂²⋊Q₈×C₁₃₉	2
C₂²×C₄×D₄×C₁₃₉	2
#2850×C₁₃₉	2
#2848×C₁₃₉	2
#2847×C₁₃₉	2
#2540×C₁₃₉	2
#2536×C₁₃₉	2
#2472×C₁₃₉	2
#2463×C₁₃₉	2
#2461×C₁₃₉	2
#2449×C₁₃₉	2
#2443×C₁₃₉	2
#2416×C₁₃₉	2
#2415×C₁₃₉	2
#2410×C₁₃₉	2
#2409×C₁₃₉	2
#2407×C₁₃₉	2
#2361×C₁₃₉	2
#2358×C₁₃₉	2
#2352×C₁₃₉	2
C₄×C₂²⋊Q₈×C₁₃₉	2
#36097	139

Subgroups — C139×#36097 #48030693

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36097 #48030693