Subgroups — C₁₃₉×#36124 #48030720

Order 35584.

3386 conjugacy classes of subgroups.

The subgroup lattice has 986 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×#546×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#532×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×#124×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2858×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2850×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2850×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2555×C₁₃₉	C₂	1	4	yes	maximal, complemented
9	#2545×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
10	#2544×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
11	#2461×C₁₃₉	C₂	1	4	yes	maximal, complemented
12	#2434×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
13	#2433×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#2432×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#2431×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	#2424×C₁₃₉	C₂	1	4	yes	maximal, complemented
17	#2358×C₁₃₉	C₂	1	4	yes	maximal, complemented
18	C₄×#124×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄²×D₄×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×#41×C₁₃₉	C₂²	1	1	yes	characteristic
21	C₂²×#41×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
22	C₂³×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
23	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
24	#548×C₁₃₉	—	2	8	no	—
25	#546×C₁₃₉	—	2	8	no	—
26	#532×C₁₃₉	—	2	8	no	—
27	C₂×C₄⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₄⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
29	C₂×#127×C₁₃₉	C₂²	1	1	yes	characteristic
30	C₂×#127×C₁₃₉	C₂²	1	1	yes	characteristic
31	C₂×#124×C₁₃₉	—	2	8	no	—
32	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic
33	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic
34	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic
35	C₂×#124×C₁₃₉	C₂²	1	4	yes	—
36	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic
38	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
39	C₂×#124×C₁₃₉	C₂²	1	2	yes	complemented
40	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
41	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
42	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
43	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	2	yes	complemented
45	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
46	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
47	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
48	C₂×#121×C₁₃₉	C₂²	1	2	yes	—
49	C₂×#121×C₁₃₉	C₂²	1	4	yes	complemented
50	C₂×#120×C₁₃₉	C₂²	1	4	yes	—
51	C₂×#120×C₁₃₉	C₂²	1	2	yes	—
52	C₂×C₄×Q₈×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
54	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
55	C₂×C₄×D₄×C₁₃₉	C₂²	1	2	yes	—
56	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
57	C₂×C₄×D₄×C₁₃₉	C₂²	1	4	yes	complemented
58	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
59	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	4	yes	—
60	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic
61	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
62	#396×C₁₃₉	C₂²	1	4	yes	complemented
63	#395×C₁₃₉	C₂²	1	4	yes	complemented
64	#394×C₁₃₉	C₂²	1	4	yes	complemented
65	#394×C₁₃₉	C₂²	1	4	yes	complemented
66	#392×C₁₃₉	C₂²	1	4	yes	—
67	#392×C₁₃₉	C₂²	1	4	yes	complemented
68	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
69	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
70	#391×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
71	#390×C₁₃₉	C₂²	1	1	yes	characteristic
72	#390×C₁₃₉	C₂²	1	1	yes	characteristic
73	#390×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
74	#390×C₁₃₉	C₂²	1	4	yes	complemented
75	#390×C₁₃₉	C₂²	1	4	yes	complemented
76	#388×C₁₃₉	C₂²	1	4	yes	complemented
77	#388×C₁₃₉	C₂²	1	4	yes	complemented
78	#388×C₁₃₉	C₂²	1	4	yes	complemented
79	#388×C₁₃₉	C₂²	1	4	yes	complemented
80	#386×C₁₃₉	C₂²	1	4	yes	—
81	#386×C₁₃₉	C₂²	1	4	yes	complemented
82	#386×C₁₃₉	C₂²	1	4	yes	complemented
83	#386×C₁₃₉	C₂²	1	4	yes	complemented
84	#385×C₁₃₉	C₂²	1	4	yes	—
85	#385×C₁₃₉	C₂²	1	4	yes	complemented
86	#382×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
87	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
88	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
89	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
90	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
91	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
92	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
93	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	4	yes	complemented
94	C₄³×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
95	C₂⁵×C₁₃₉	C₂³	1	2	yes	—
96	C₂×#41×C₁₃₉	—	2	4	no	—
97	C₂×#41×C₁₃₉	—	2	4	no	—
98	C₂×#41×C₁₃₉	—	2	4	no	—
99	C₂×#41×C₁₃₉	—	2	4	no	—
100	C₂×#41×C₁₃₉	—	4	2	no	—
101	C₂×#41×C₁₃₉	—	4	2	no	—
102	C₂²×Q₈×C₁₃₉	—	2	4	no	—
103	C₂²×Q₈×C₁₃₉	—	2	4	no	—
104	C₂²×Q₈×C₁₃₉	—	4	2	no	—
105	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
106	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
107	C₂²×Q₈×C₁₃₉	C₂³	1	2	yes	—
108	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
109	C₂²×D₄×C₁₃₉	—	2	4	no	—
110	C₂²×D₄×C₁₃₉	—	2	4	no	—
111	C₂²×D₄×C₁₃₉	—	4	2	no	—
112	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
113	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
114	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
115	C₂²×D₄×C₁₃₉	C₂³	1	4	yes	—
116	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
117	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
118	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
119	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
120	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
121	C₂²×D₄×C₁₃₉	C₂³	1	2	yes	—
122	C₂²×D₄×C₁₃₉	C₂³	1	4	yes	—
123	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
124	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
125	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
126	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
127	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
128	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
129	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
130	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
131	C₄⋊Q₈×C₁₃₉	—	2	4	no	—
132	C₄⋊Q₈×C₁₃₉	—	4	2	no	—
133	#127×C₁₃₉	—	2	4	no	—
134	#127×C₁₃₉	—	4	2	no	—
135	#124×C₁₃₉	—	2	4	no	—
136	#124×C₁₃₉	—	2	4	no	—
137	#124×C₁₃₉	—	2	16	no	—
138	#124×C₁₃₉	—	2	8	no	—
139	#124×C₁₃₉	—	2	4	no	—
140	#124×C₁₃₉	—	2	4	no	—
141	#124×C₁₃₉	—	2	4	no	—
142	#124×C₁₃₉	—	2	4	no	—
143	#124×C₁₃₉	D₄	1	8	yes	complemented
144	#123×C₁₃₉	—	2	8	no	—
145	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
146	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
147	C₂²⋊Q₈×C₁₃₉	—	2	8	no	—
148	#121×C₁₃₉	—	2	8	no	—
149	#121×C₁₃₉	—	2	4	no	—
150	#121×C₁₃₉	—	2	4	no	—
151	#121×C₁₃₉	—	2	8	no	—
152	#121×C₁₃₉	—	2	16	no	—
153	#120×C₁₃₉	—	2	8	no	—
154	#120×C₁₃₉	—	2	16	no	—
155	C₄×Q₈×C₁₃₉	—	2	4	no	—
156	C₄×D₄×C₁₃₉	—	2	8	no	—
157	C₄×D₄×C₁₃₉	—	2	16	no	—
158	C₄×D₄×C₁₃₉	—	2	8	no	—
159	C₄×D₄×C₁₃₉	—	2	4	no	—
160	C₄×D₄×C₁₃₉	D₄	1	8	yes	complemented
161	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
162	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	4	yes	—
163	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
164	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
165	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
166	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
167	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
168	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	4	yes	—
169	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
170	C₂×C₂²⋊C₄×C₁₃₉	—	2	16	no	—
171	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
172	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
173	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
174	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
175	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
176	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
177	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
178	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
179	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
180	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
181	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
182	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
183	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
184	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
185	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
186	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
187	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
188	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
189	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
190	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	4	yes	—
191	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
192	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
193	C₂×C₄²×C₁₃₉	—	2	4	no	—
194	C₂×C₄²×C₁₃₉	—	2	4	no	—
195	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
196	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
197	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
198	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
199	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
200	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
201	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
202	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
203	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
204	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
205	#95×C₁₃₉	C₂³	1	2	yes	—
206	#95×C₁₃₉	C₂³	1	4	yes	—
207	#95×C₁₃₉	C₂³	1	4	yes	—
208	#95×C₁₃₉	C₂³	1	4	yes	—
209	#95×C₁₃₉	C₂³	1	2	yes	—
210	#95×C₁₃₉	C₂³	1	2	yes	—
211	#95×C₁₃₉	C₂³	1	4	yes	—
212	C₂⁴×C₁₃₉	—	2	4	no	—
213	C₂⁴×C₁₃₉	—	2	4	no	—
214	C₂⁴×C₁₃₉	—	2	8	no	—
215	C₂⁴×C₁₃₉	—	4	2	no	—
216	C₂⁴×C₁₃₉	—	4	4	no	—
217	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
218	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
219	C₂⁴×C₁₃₉	C₂⁴	1	2	yes	—
220	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
221	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
222	#41×C₁₃₉	—	4	16	no	—
223	#41×C₁₃₉	—	4	16	no	—
224	C₂×Q₈×C₁₃₉	—	2	2	no	—
225	C₂×Q₈×C₁₃₉	—	2	4	no	—
226	C₂×Q₈×C₁₃₉	—	2	2	no	—
227	C₂×Q₈×C₁₃₉	—	2	2	no	—
228	C₂×Q₈×C₁₃₉	—	2	4	no	—
229	C₂×Q₈×C₁₃₉	—	2	2	no	—
230	C₂×Q₈×C₁₃₉	—	2	2	no	—
231	C₂×Q₈×C₁₃₉	—	2	2	no	—
232	C₂×Q₈×C₁₃₉	—	2	2	no	—
233	C₂×Q₈×C₁₃₉	—	2	2	no	—
234	C₂×Q₈×C₁₃₉	—	4	2	no	—
235	C₂×Q₈×C₁₃₉	—	4	16	no	—
236	C₂×Q₈×C₁₃₉	C₂×D₄	1	4	yes	—
237	C₂×D₄×C₁₃₉	—	2	4	no	—
238	C₂×D₄×C₁₃₉	—	2	4	no	—
239	C₂×D₄×C₁₃₉	—	2	8	no	—
240	C₂×D₄×C₁₃₉	—	2	4	no	—
241	C₂×D₄×C₁₃₉	—	2	4	no	—
242	C₂×D₄×C₁₃₉	—	2	4	no	—
243	C₂×D₄×C₁₃₉	—	2	4	no	—
244	C₂×D₄×C₁₃₉	—	2	8	no	—
245	C₂×D₄×C₁₃₉	—	2	4	no	—
246	C₂×D₄×C₁₃₉	—	2	2	no	—
247	C₂×D₄×C₁₃₉	—	2	4	no	—
248	C₂×D₄×C₁₃₉	—	2	4	no	—
249	C₂×D₄×C₁₃₉	—	2	2	no	—
250	C₂×D₄×C₁₃₉	—	2	2	no	—
251	C₂×D₄×C₁₃₉	—	2	2	no	—
252	C₂×D₄×C₁₃₉	—	2	2	no	—
253	C₂×D₄×C₁₃₉	—	2	8	no	—
254	C₂×D₄×C₁₃₉	—	2	8	no	—
255	C₂×D₄×C₁₃₉	—	2	2	no	—
256	C₂×D₄×C₁₃₉	—	2	2	no	—
257	C₂×D₄×C₁₃₉	—	2	2	no	—
258	C₂×D₄×C₁₃₉	—	4	16	no	—
259	C₂×D₄×C₁₃₉	—	4	2	no	—
260	C₂×D₄×C₁₃₉	—	4	4	no	—
261	C₂×D₄×C₁₃₉	—	4	2	no	—
262	C₂×D₄×C₁₃₉	—	4	2	no	—
263	C₂×D₄×C₁₃₉	—	4	4	no	—
264	C₂×D₄×C₁₃₉	—	4	4	no	—
265	C₂×D₄×C₁₃₉	—	4	4	no	—
266	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
267	C₂×D₄×C₁₃₉	C₂×D₄	1	4	yes	—
268	C₂²×C₄×C₁₃₉	—	2	2	no	—
269	C₂²×C₄×C₁₃₉	—	2	2	no	—
270	C₂²×C₄×C₁₃₉	—	2	2	no	—
271	C₂²×C₄×C₁₃₉	—	2	2	no	—
272	C₂²×C₄×C₁₃₉	—	2	4	no	—
273	C₂²×C₄×C₁₃₉	—	2	4	no	—
274	C₂²×C₄×C₁₃₉	—	2	4	no	—
275	C₂²×C₄×C₁₃₉	—	2	4	no	—
276	C₂²×C₄×C₁₃₉	—	2	4	no	—
277	C₂²×C₄×C₁₃₉	—	2	4	no	—
278	C₂²×C₄×C₁₃₉	—	2	4	no	—
279	C₂²×C₄×C₁₃₉	—	2	4	no	—
280	C₂²×C₄×C₁₃₉	—	2	4	no	—
281	C₂²×C₄×C₁₃₉	—	2	4	no	—
282	C₂²×C₄×C₁₃₉	—	2	4	no	—
283	C₂²×C₄×C₁₃₉	—	4	2	no	—
284	C₂²×C₄×C₁₃₉	—	4	2	no	—
285	C₂²×C₄×C₁₃₉	—	4	2	no	—
286	C₂²×C₄×C₁₃₉	—	4	2	no	—
287	C₂²×C₄×C₁₃₉	—	4	2	no	—
288	C₂²×C₄×C₁₃₉	—	4	4	no	—
289	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
290	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
291	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
292	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
293	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
294	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
295	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
296	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
297	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
298	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
299	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
300	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
301	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
302	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
303	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
304	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
305	C₄⋊C₄×C₁₃₉	—	2	2	no	—
306	C₄⋊C₄×C₁₃₉	—	2	8	no	—
307	C₄⋊C₄×C₁₃₉	—	2	4	no	—
308	C₄⋊C₄×C₁₃₉	—	2	4	no	—
309	C₄⋊C₄×C₁₃₉	—	2	2	no	—
310	C₄⋊C₄×C₁₃₉	—	2	4	no	—
311	C₄⋊C₄×C₁₃₉	—	2	4	no	—
312	C₄⋊C₄×C₁₃₉	—	4	4	no	—
313	C₄⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
314	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
315	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
316	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
317	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
318	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
319	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
320	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
321	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
322	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
323	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
324	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
325	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
326	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
327	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
328	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
329	C₂²⋊C₄×C₁₃₉	—	2	8	no	—
330	C₂²⋊C₄×C₁₃₉	—	4	4	no	—
331	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
332	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	16	yes	—
333	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
334	C₂²⋊C₄×C₁₃₉	#41	1	8	yes	complemented
335	C₄²×C₁₃₉	—	2	4	no	—
336	C₄²×C₁₃₉	—	2	4	no	—
337	C₄²×C₁₃₉	—	2	2	no	—
338	C₄²×C₁₃₉	—	2	2	no	—
339	C₄²×C₁₃₉	—	2	4	no	—
340	C₄²×C₁₃₉	—	2	4	no	—
341	C₄²×C₁₃₉	—	2	2	no	—
342	C₄²×C₁₃₉	—	4	2	no	—
343	C₄²×C₁₃₉	C₂×D₄	1	4	yes	—
344	C₄²×C₁₃₉	C₂×D₄	1	4	yes	—
345	C₂³×C₁₃₉	—	2	1	no	—
346	C₂³×C₁₃₉	—	2	1	no	—
347	C₂³×C₁₃₉	—	2	2	no	—
348	C₂³×C₁₃₉	—	2	2	no	—
349	C₂³×C₁₃₉	—	2	1	no	—
350	C₂³×C₁₃₉	—	2	2	no	—
351	C₂³×C₁₃₉	—	2	4	no	—
352	C₂³×C₁₃₉	—	2	1	no	—
353	C₂³×C₁₃₉	—	2	2	no	—
354	C₂³×C₁₃₉	—	2	2	no	—
355	C₂³×C₁₃₉	—	2	4	no	—
356	C₂³×C₁₃₉	—	2	2	no	—
357	C₂³×C₁₃₉	—	2	2	no	—
358	C₂³×C₁₃₉	—	2	2	no	—
359	C₂³×C₁₃₉	—	2	2	no	—
360	C₂³×C₁₃₉	—	2	4	no	—
361	C₂³×C₁₃₉	—	2	4	no	—
362	C₂³×C₁₃₉	—	2	2	no	—
363	C₂³×C₁₃₉	—	2	2	no	—
364	C₂³×C₁₃₉	—	2	4	no	—
365	C₂³×C₁₃₉	—	2	4	no	—
366	C₂³×C₁₃₉	—	4	8	no	—
367	C₂³×C₁₃₉	—	4	16	no	—
368	C₂³×C₁₃₉	—	4	8	no	—
369	C₂³×C₁₃₉	—	8	4	no	—
370	C₂³×C₁₃₉	—	8	8	no	—
371	C₂³×C₁₃₉	C₂²×D₄	1	4	yes	—
372	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
373	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
374	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
375	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
376	Q₈×C₁₃₉	—	2	8	no	—
377	Q₈×C₁₃₉	—	4	8	no	—
378	Q₈×C₁₃₉	—	4	4	no	—
379	Q₈×C₁₃₉	—	4	4	no	—
380	D₄×C₁₃₉	—	2	8	no	—
381	D₄×C₁₃₉	—	2	8	no	—
382	D₄×C₁₃₉	—	4	16	no	—
383	D₄×C₁₃₉	—	4	8	no	—
384	D₄×C₁₃₉	—	4	8	no	—
385	D₄×C₁₃₉	—	4	8	no	—
386	D₄×C₁₃₉	—	4	8	no	—
387	D₄×C₁₃₉	—	4	4	no	—
388	D₄×C₁₃₉	—	4	4	no	—
389	D₄×C₁₃₉	—	8	8	no	—
390	D₄×C₁₃₉	—	8	4	no	—
391	C₂×C₄×C₁₃₉	—	2	2	no	—
392	C₂×C₄×C₁₃₉	—	2	1	no	—
393	C₂×C₄×C₁₃₉	—	2	1	no	—
394	C₂×C₄×C₁₃₉	—	2	2	no	—
395	C₂×C₄×C₁₃₉	—	2	2	no	—
396	C₂×C₄×C₁₃₉	—	2	2	no	—
397	C₂×C₄×C₁₃₉	—	2	2	no	—
398	C₂×C₄×C₁₃₉	—	2	1	no	—
399	C₂×C₄×C₁₃₉	—	2	1	no	—
400	C₂×C₄×C₁₃₉	—	2	2	no	—
401	C₂×C₄×C₁₃₉	—	2	2	no	—
402	C₂×C₄×C₁₃₉	—	2	2	no	—
403	C₂×C₄×C₁₃₉	—	2	2	no	—
404	C₂×C₄×C₁₃₉	—	2	2	no	—
405	C₂×C₄×C₁₃₉	—	2	8	no	—
406	C₂×C₄×C₁₃₉	—	2	8	no	—
407	C₂×C₄×C₁₃₉	—	2	2	no	—
408	C₂×C₄×C₁₃₉	—	2	2	no	—
409	C₂×C₄×C₁₃₉	—	2	2	no	—
410	C₂×C₄×C₁₃₉	—	2	2	no	—
411	C₂×C₄×C₁₃₉	—	2	2	no	—
412	C₂×C₄×C₁₃₉	—	2	2	no	—
413	C₂×C₄×C₁₃₉	—	2	2	no	—
414	C₂×C₄×C₁₃₉	—	2	4	no	—
415	C₂×C₄×C₁₃₉	—	2	2	no	—
416	C₂×C₄×C₁₃₉	—	2	2	no	—
417	C₂×C₄×C₁₃₉	—	2	2	no	—
418	C₂×C₄×C₁₃₉	—	2	2	no	—
419	C₂×C₄×C₁₃₉	—	2	4	no	—
420	C₂×C₄×C₁₃₉	—	4	8	no	—
421	C₂×C₄×C₁₃₉	—	4	8	no	—
422	C₂×C₄×C₁₃₉	—	4	8	no	—
423	C₂×C₄×C₁₃₉	—	4	8	no	—
424	C₂×C₄×C₁₃₉	—	4	8	no	—
425	C₂×C₄×C₁₃₉	—	8	4	no	—
426	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
427	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
428	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
429	C₂×C₄×C₁₃₉	C₂²×D₄	1	4	yes	—
430	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
431	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
432	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
433	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
434	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
435	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
436	C₂×C₄×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
437	C₂²×C₁₃₉	—	2	2	no	—
438	C₂²×C₁₃₉	—	2	4	no	—
439	C₂²×C₁₃₉	—	2	2	no	—
440	C₂²×C₁₃₉	—	2	4	no	—
441	C₂²×C₁₃₉	—	2	2	no	—
442	C₂²×C₁₃₉	—	2	2	no	—
443	C₂²×C₁₃₉	—	2	4	no	—
444	C₂²×C₁₃₉	—	2	8	no	—
445	C₂²×C₁₃₉	—	2	2	no	—
446	C₂²×C₁₃₉	—	4	2	no	—
447	C₂²×C₁₃₉	—	4	2	no	—
448	C₂²×C₁₃₉	—	4	2	no	—
449	C₂²×C₁₃₉	—	4	2	no	—
450	C₂²×C₁₃₉	—	4	4	no	—
451	C₂²×C₁₃₉	—	4	2	no	—
452	C₂²×C₁₃₉	—	4	2	no	—
453	C₂²×C₁₃₉	—	4	2	no	—
454	C₂²×C₁₃₉	—	4	2	no	—
455	C₂²×C₁₃₉	—	4	4	no	—
456	C₂²×C₁₃₉	—	4	4	no	—
457	C₂²×C₁₃₉	—	4	2	no	—
458	C₂²×C₁₃₉	—	4	2	no	—
459	C₂²×C₁₃₉	—	4	4	no	—
460	C₂²×C₁₃₉	—	4	4	no	—
461	C₂²×C₁₃₉	—	8	16	no	—
462	C₂²×C₁₃₉	#532	1	4	yes	complemented
463	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
464	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
465	C₂²×C₁₃₉	C₂²×#41	1	2	yes	—
466	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
467	C₂²×C₁₃₉	#585	1	2	yes	—
468	C₄×C₁₃₉	—	2	2	no	—
469	C₄×C₁₃₉	—	2	2	no	—
470	C₄×C₁₃₉	—	2	2	no	—
471	C₄×C₁₃₉	—	2	4	no	—
472	C₄×C₁₃₉	—	2	4	no	—
473	C₄×C₁₃₉	—	2	4	no	—
474	C₄×C₁₃₉	—	2	2	no	—
475	C₄×C₁₃₉	—	2	4	no	—
476	C₄×C₁₃₉	—	4	2	no	—
477	C₄×C₁₃₉	—	4	2	no	—
478	C₄×C₁₃₉	—	4	2	no	—
479	C₄×C₁₃₉	—	4	2	no	—
480	C₄×C₁₃₉	—	4	2	no	—
481	C₄×C₁₃₉	D₄²	1	4	yes	—
482	C₂×C₁₃₉	—	2	4	no	—
483	C₂×C₁₃₉	—	4	2	no	—
484	C₂×C₁₃₉	—	4	4	no	—
485	C₂×C₁₃₉	—	8	2	no	—
486	C₂×C₁₃₉	—	8	2	no	—
487	C₂×C₁₃₉	C₂×#532	1	1	yes	characteristic
488	C₂×C₁₃₉	C₂×D₄²	1	1	yes	characteristic
489	C₂×C₁₃₉	D₄×#41	1	2	yes	—
490	C₂×C₁₃₉	#3500	1	1	yes	characteristic
491	C₂×C₁₃₉	#3514	1	2	yes	—
492	#36124	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
493	C₁₃₉	#36124	1	1	yes	characteristic, direct product factor, Sylow
494	C₂×#548	C₂×C₁₃₉	1	1	yes	characteristic, complemented
495	C₂×#546	C₂×C₁₃₉	1	1	yes	characteristic, complemented
496	C₂×#532	C₂×C₁₃₉	1	1	yes	characteristic, complemented
497	C₂²×#124	C₂×C₁₃₉	1	1	yes	characteristic, complemented
498	#2858	C₂×C₁₃₉	1	1	yes	characteristic, complemented
499	#2850	C₂×C₁₃₉	1	1	yes	characteristic, complemented
500	#2850	C₂×C₁₃₉	1	1	yes	characteristic, complemented
501	#2555	C₂×C₁₃₉	1	4	yes	complemented
502	#2545	C₂×C₁₃₉	1	1	yes	characteristic, complemented
503	#2544	C₂×C₁₃₉	1	1	yes	characteristic, complemented
504	#2461	C₂×C₁₃₉	1	4	yes	complemented
505	#2434	C₂×C₁₃₉	1	1	yes	characteristic, complemented
506	#2433	C₂×C₁₃₉	1	1	yes	characteristic, complemented
507	#2432	C₂×C₁₃₉	1	1	yes	characteristic, complemented
508	#2431	C₂×C₁₃₉	1	1	yes	characteristic, complemented
509	#2424	C₂×C₁₃₉	1	4	yes	complemented
510	#2358	C₂×C₁₃₉	1	4	yes	complemented
511	C₄×#124	C₂×C₁₃₉	1	1	yes	characteristic, complemented
512	C₄²×D₄	C₂×C₁₃₉	1	1	yes	characteristic, complemented
513	C₂²×#41	C₂²×C₁₃₉	1	1	yes	characteristic
514	C₂²×#41	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
515	C₂³×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
516	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
517	#548	—	2	8	no	—
518	#546	—	2	8	no	—
519	#532	—	2	8	no	—
520	C₂×C₄⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
521	C₂×C₄⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
522	C₂×#127	C₂²×C₁₃₉	1	1	yes	characteristic
523	C₂×#127	C₂²×C₁₃₉	1	1	yes	characteristic
524	C₂×#124	—	2	8	no	—
525	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic
526	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic
527	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic
528	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic
529	C₂×#124	C₂²×C₁₃₉	1	4	yes	—
530	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic
531	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
532	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
533	C₂×#124	C₂²×C₁₃₉	1	2	yes	complemented
534	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
535	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
536	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
537	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	2	yes	complemented
538	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
539	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
540	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
541	C₂×#121	C₂²×C₁₃₉	1	2	yes	—
542	C₂×#121	C₂²×C₁₃₉	1	4	yes	complemented
543	C₂×#120	C₂²×C₁₃₉	1	4	yes	—
544	C₂×#120	C₂²×C₁₃₉	1	2	yes	—
545	C₂×C₄×Q₈	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
546	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
547	C₂×C₄×D₄	C₂²×C₁₃₉	1	2	yes	—
548	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
549	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
550	C₂×C₄×D₄	C₂²×C₁₃₉	1	4	yes	complemented
551	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
552	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	4	yes	—
553	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic
554	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
555	#396	C₂²×C₁₃₉	1	4	yes	complemented
556	#395	C₂²×C₁₃₉	1	4	yes	complemented
557	#394	C₂²×C₁₃₉	1	4	yes	complemented
558	#394	C₂²×C₁₃₉	1	4	yes	complemented
559	#392	C₂²×C₁₃₉	1	4	yes	—
560	#392	C₂²×C₁₃₉	1	4	yes	complemented
561	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
562	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
563	#391	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
564	#390	C₂²×C₁₃₉	1	1	yes	characteristic
565	#390	C₂²×C₁₃₉	1	1	yes	characteristic
566	#390	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
567	#390	C₂²×C₁₃₉	1	4	yes	complemented
568	#390	C₂²×C₁₃₉	1	4	yes	complemented
569	#388	C₂²×C₁₃₉	1	4	yes	complemented
570	#388	C₂²×C₁₃₉	1	4	yes	complemented
571	#388	C₂²×C₁₃₉	1	4	yes	complemented
572	#388	C₂²×C₁₃₉	1	4	yes	complemented
573	#386	C₂²×C₁₃₉	1	4	yes	—
574	#386	C₂²×C₁₃₉	1	4	yes	complemented
575	#386	C₂²×C₁₃₉	1	4	yes	complemented
576	#386	C₂²×C₁₃₉	1	4	yes	complemented
577	#385	C₂²×C₁₃₉	1	4	yes	—
578	#385	C₂²×C₁₃₉	1	4	yes	complemented
579	#382	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
580	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
581	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
582	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
583	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
584	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	4	yes	complemented
585	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
586	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
587	C₄³	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
588	C₂⁵	C₂³×C₁₃₉	1	2	yes	—
589	C₂×#41	—	2	4	no	—
590	C₂×#41	—	2	4	no	—
591	C₂×#41	—	2	4	no	—
592	C₂×#41	—	2	4	no	—
593	C₂×#41	—	4	2	no	—
594	C₂×#41	—	4	2	no	—
595	C₂²×Q₈	—	2	4	no	—
596	C₂²×Q₈	—	2	4	no	—
597	C₂²×Q₈	—	4	2	no	—
598	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
599	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
600	C₂²×Q₈	C₂³×C₁₃₉	1	2	yes	—
601	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
602	C₂²×D₄	—	2	4	no	—
603	C₂²×D₄	—	2	4	no	—
604	C₂²×D₄	—	4	2	no	—
605	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
606	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
607	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
608	C₂²×D₄	C₂³×C₁₃₉	1	4	yes	—
609	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
610	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
611	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
612	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
613	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
614	C₂²×D₄	C₂³×C₁₃₉	1	2	yes	—
615	C₂²×D₄	C₂³×C₁₃₉	1	4	yes	—
616	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
617	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
618	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
619	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
620	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
621	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
622	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
623	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
624	C₄⋊Q₈	—	2	4	no	—
625	C₄⋊Q₈	—	4	2	no	—
626	#127	—	2	4	no	—
627	#127	—	4	2	no	—
628	#124	—	2	4	no	—
629	#124	—	2	4	no	—
630	#124	—	2	16	no	—
631	#124	—	2	8	no	—
632	#124	—	2	4	no	—
633	#124	—	2	4	no	—
634	#124	—	2	4	no	—
635	#124	—	2	4	no	—
636	#124	D₄×C₁₃₉	1	8	yes	complemented
637	#123	—	2	8	no	—
638	C₂²⋊Q₈	—	2	4	no	—
639	C₂²⋊Q₈	—	2	4	no	—
640	C₂²⋊Q₈	—	2	8	no	—
641	#121	—	2	8	no	—
642	#121	—	2	4	no	—
643	#121	—	2	4	no	—
644	#121	—	2	8	no	—
645	#121	—	2	16	no	—
646	#120	—	2	8	no	—
647	#120	—	2	16	no	—
648	C₄×Q₈	—	2	4	no	—
649	C₄×D₄	—	2	8	no	—
650	C₄×D₄	—	2	16	no	—
651	C₄×D₄	—	2	8	no	—
652	C₄×D₄	—	2	4	no	—
653	C₄×D₄	D₄×C₁₃₉	1	8	yes	complemented
654	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
655	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
656	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
657	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	4	yes	—
658	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
659	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
660	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
661	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	4	yes	—
662	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
663	C₂×C₂²⋊C₄	—	2	16	no	—
664	C₂×C₂²⋊C₄	—	2	8	no	—
665	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
666	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
667	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
668	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
669	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
670	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
671	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
672	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
673	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
674	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
675	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
676	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
677	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
678	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
679	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
680	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
681	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
682	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
683	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	4	yes	—
684	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
685	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
686	C₂×C₄²	—	2	4	no	—
687	C₂×C₄²	—	2	4	no	—
688	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
689	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
690	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
691	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
692	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
693	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
694	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
695	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
696	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
697	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
698	#95	C₂³×C₁₃₉	1	2	yes	—
699	#95	C₂³×C₁₃₉	1	2	yes	—
700	#95	C₂³×C₁₃₉	1	2	yes	—
701	#95	C₂³×C₁₃₉	1	4	yes	—
702	#95	C₂³×C₁₃₉	1	4	yes	—
703	#95	C₂³×C₁₃₉	1	4	yes	—
704	#95	C₂³×C₁₃₉	1	4	yes	—
705	C₂⁴	—	2	4	no	—
706	C₂⁴	—	2	4	no	—
707	C₂⁴	—	2	8	no	—
708	C₂⁴	—	4	2	no	—
709	C₂⁴	—	4	4	no	—
710	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
711	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
712	C₂⁴	C₂⁴×C₁₃₉	1	2	yes	—
713	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
714	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
715	#41	—	4	16	no	—
716	#41	—	4	16	no	—
717	C₂×Q₈	—	2	2	no	—
718	C₂×Q₈	—	2	4	no	—
719	C₂×Q₈	—	2	2	no	—
720	C₂×Q₈	—	2	2	no	—
721	C₂×Q₈	—	2	4	no	—
722	C₂×Q₈	—	2	2	no	—
723	C₂×Q₈	—	2	2	no	—
724	C₂×Q₈	—	2	2	no	—
725	C₂×Q₈	—	2	2	no	—
726	C₂×Q₈	—	2	2	no	—
727	C₂×Q₈	—	4	2	no	—
728	C₂×Q₈	—	4	16	no	—
729	C₂×Q₈	C₂×D₄×C₁₃₉	1	4	yes	—
730	C₂×D₄	—	2	4	no	—
731	C₂×D₄	—	2	4	no	—
732	C₂×D₄	—	2	8	no	—
733	C₂×D₄	—	2	4	no	—
734	C₂×D₄	—	2	4	no	—
735	C₂×D₄	—	2	4	no	—
736	C₂×D₄	—	2	4	no	—
737	C₂×D₄	—	2	8	no	—
738	C₂×D₄	—	2	4	no	—
739	C₂×D₄	—	2	2	no	—
740	C₂×D₄	—	2	4	no	—
741	C₂×D₄	—	2	4	no	—
742	C₂×D₄	—	2	2	no	—
743	C₂×D₄	—	2	2	no	—
744	C₂×D₄	—	2	2	no	—
745	C₂×D₄	—	2	2	no	—
746	C₂×D₄	—	2	8	no	—
747	C₂×D₄	—	2	8	no	—
748	C₂×D₄	—	2	2	no	—
749	C₂×D₄	—	2	2	no	—
750	C₂×D₄	—	2	2	no	—
751	C₂×D₄	—	4	16	no	—
752	C₂×D₄	—	4	2	no	—
753	C₂×D₄	—	4	4	no	—
754	C₂×D₄	—	4	2	no	—
755	C₂×D₄	—	4	2	no	—
756	C₂×D₄	—	4	4	no	—
757	C₂×D₄	—	4	4	no	—
758	C₂×D₄	—	4	4	no	—
759	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
760	C₂×D₄	C₂×D₄×C₁₃₉	1	4	yes	—
761	C₂²×C₄	—	2	2	no	—
762	C₂²×C₄	—	2	2	no	—
763	C₂²×C₄	—	2	2	no	—
764	C₂²×C₄	—	2	2	no	—
765	C₂²×C₄	—	2	4	no	—
766	C₂²×C₄	—	2	4	no	—
767	C₂²×C₄	—	2	4	no	—
768	C₂²×C₄	—	2	4	no	—
769	C₂²×C₄	—	2	4	no	—
770	C₂²×C₄	—	2	4	no	—
771	C₂²×C₄	—	2	4	no	—
772	C₂²×C₄	—	2	4	no	—
773	C₂²×C₄	—	2	4	no	—
774	C₂²×C₄	—	2	4	no	—
775	C₂²×C₄	—	2	4	no	—
776	C₂²×C₄	—	4	2	no	—
777	C₂²×C₄	—	4	2	no	—
778	C₂²×C₄	—	4	2	no	—
779	C₂²×C₄	—	4	2	no	—
780	C₂²×C₄	—	4	2	no	—
781	C₂²×C₄	—	4	4	no	—
782	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
783	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
784	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
785	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
786	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
787	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
788	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
789	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
790	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
791	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
792	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
793	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
794	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
795	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
796	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
797	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
798	C₄⋊C₄	—	2	2	no	—
799	C₄⋊C₄	—	2	8	no	—
800	C₄⋊C₄	—	2	4	no	—
801	C₄⋊C₄	—	2	4	no	—
802	C₄⋊C₄	—	2	2	no	—
803	C₄⋊C₄	—	2	4	no	—
804	C₄⋊C₄	—	2	4	no	—
805	C₄⋊C₄	—	4	4	no	—
806	C₄⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
807	C₂²⋊C₄	—	2	4	no	—
808	C₂²⋊C₄	—	2	8	no	—
809	C₂²⋊C₄	—	2	4	no	—
810	C₂²⋊C₄	—	2	4	no	—
811	C₂²⋊C₄	—	2	4	no	—
812	C₂²⋊C₄	—	2	8	no	—
813	C₂²⋊C₄	—	2	8	no	—
814	C₂²⋊C₄	—	2	4	no	—
815	C₂²⋊C₄	—	2	8	no	—
816	C₂²⋊C₄	—	2	4	no	—
817	C₂²⋊C₄	—	2	4	no	—
818	C₂²⋊C₄	—	2	4	no	—
819	C₂²⋊C₄	—	2	4	no	—
820	C₂²⋊C₄	—	2	4	no	—
821	C₂²⋊C₄	—	2	8	no	—
822	C₂²⋊C₄	—	2	8	no	—
823	C₂²⋊C₄	—	4	4	no	—
824	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
825	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	16	yes	—
826	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
827	C₂²⋊C₄	#41×C₁₃₉	1	8	yes	complemented
828	C₄²	—	2	4	no	—
829	C₄²	—	2	4	no	—
830	C₄²	—	2	2	no	—
831	C₄²	—	2	2	no	—
832	C₄²	—	2	4	no	—
833	C₄²	—	2	4	no	—
834	C₄²	—	2	2	no	—
835	C₄²	—	4	2	no	—
836	C₄²	C₂×D₄×C₁₃₉	1	4	yes	—
837	C₄²	C₂×D₄×C₁₃₉	1	4	yes	—
838	C₂³	—	2	1	no	—
839	C₂³	—	2	1	no	—
840	C₂³	—	2	2	no	—
841	C₂³	—	2	2	no	—
842	C₂³	—	2	1	no	—
843	C₂³	—	2	2	no	—
844	C₂³	—	2	4	no	—
845	C₂³	—	2	1	no	—
846	C₂³	—	2	2	no	—
847	C₂³	—	2	2	no	—
848	C₂³	—	2	4	no	—
849	C₂³	—	2	2	no	—
850	C₂³	—	2	2	no	—
851	C₂³	—	2	2	no	—
852	C₂³	—	2	2	no	—
853	C₂³	—	2	4	no	—
854	C₂³	—	2	4	no	—
855	C₂³	—	2	2	no	—
856	C₂³	—	2	2	no	—
857	C₂³	—	2	4	no	—
858	C₂³	—	2	4	no	—
859	C₂³	—	4	8	no	—
860	C₂³	—	4	16	no	—
861	C₂³	—	4	8	no	—
862	C₂³	—	8	4	no	—
863	C₂³	—	8	8	no	—
864	C₂³	C₂²×D₄×C₁₃₉	1	4	yes	—
865	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
866	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
867	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
868	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
869	Q₈	—	2	8	no	—
870	Q₈	—	4	8	no	—
871	Q₈	—	4	4	no	—
872	Q₈	—	4	4	no	—
873	D₄	—	2	8	no	—
874	D₄	—	2	8	no	—
875	D₄	—	4	8	no	—
876	D₄	—	4	8	no	—
877	D₄	—	4	16	no	—
878	D₄	—	4	8	no	—
879	D₄	—	4	8	no	—
880	D₄	—	4	4	no	—
881	D₄	—	4	4	no	—
882	D₄	—	8	8	no	—
883	D₄	—	8	4	no	—
884	C₂×C₄	—	2	2	no	—
885	C₂×C₄	—	2	1	no	—
886	C₂×C₄	—	2	1	no	—
887	C₂×C₄	—	2	2	no	—
888	C₂×C₄	—	2	2	no	—
889	C₂×C₄	—	2	2	no	—
890	C₂×C₄	—	2	2	no	—
891	C₂×C₄	—	2	1	no	—
892	C₂×C₄	—	2	1	no	—
893	C₂×C₄	—	2	2	no	—
894	C₂×C₄	—	2	2	no	—
895	C₂×C₄	—	2	2	no	—
896	C₂×C₄	—	2	2	no	—
897	C₂×C₄	—	2	2	no	—
898	C₂×C₄	—	2	8	no	—
899	C₂×C₄	—	2	8	no	—
900	C₂×C₄	—	2	2	no	—
901	C₂×C₄	—	2	2	no	—
902	C₂×C₄	—	2	2	no	—
903	C₂×C₄	—	2	2	no	—
904	C₂×C₄	—	2	2	no	—
905	C₂×C₄	—	2	2	no	—
906	C₂×C₄	—	2	2	no	—
907	C₂×C₄	—	2	4	no	—
908	C₂×C₄	—	2	2	no	—
909	C₂×C₄	—	2	2	no	—
910	C₂×C₄	—	2	2	no	—
911	C₂×C₄	—	2	2	no	—
912	C₂×C₄	—	2	4	no	—
913	C₂×C₄	—	4	8	no	—
914	C₂×C₄	—	4	8	no	—
915	C₂×C₄	—	4	8	no	—
916	C₂×C₄	—	4	8	no	—
917	C₂×C₄	—	4	8	no	—
918	C₂×C₄	—	8	4	no	—
919	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
920	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
921	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
922	C₂×C₄	C₂²×D₄×C₁₃₉	1	4	yes	—
923	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
924	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
925	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
926	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
927	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
928	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
929	C₂×C₄	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
930	C₂²	—	2	2	no	—
931	C₂²	—	2	4	no	—
932	C₂²	—	2	2	no	—
933	C₂²	—	2	4	no	—
934	C₂²	—	2	2	no	—
935	C₂²	—	2	2	no	—
936	C₂²	—	2	4	no	—
937	C₂²	—	2	8	no	—
938	C₂²	—	2	2	no	—
939	C₂²	—	4	2	no	—
940	C₂²	—	4	2	no	—
941	C₂²	—	4	2	no	—
942	C₂²	—	4	4	no	—
943	C₂²	—	4	2	no	—
944	C₂²	—	4	2	no	—
945	C₂²	—	4	2	no	—
946	C₂²	—	4	2	no	—
947	C₂²	—	4	2	no	—
948	C₂²	—	4	4	no	—
949	C₂²	—	4	4	no	—
950	C₂²	—	4	2	no	—
951	C₂²	—	4	2	no	—
952	C₂²	—	4	4	no	—
953	C₂²	—	4	4	no	—
954	C₂²	—	8	16	no	—
955	C₂²	#532×C₁₃₉	1	4	yes	complemented
956	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
957	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
958	C₂²	C₂²×#41×C₁₃₉	1	2	yes	—
959	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
960	C₂²	#585×C₁₃₉	1	2	yes	—
961	C₄	—	2	2	no	—
962	C₄	—	2	2	no	—
963	C₄	—	2	2	no	—
964	C₄	—	2	4	no	—
965	C₄	—	2	4	no	—
966	C₄	—	2	4	no	—
967	C₄	—	2	2	no	—
968	C₄	—	2	4	no	—
969	C₄	—	4	2	no	—
970	C₄	—	4	2	no	—
971	C₄	—	4	2	no	—
972	C₄	—	4	2	no	—
973	C₄	—	4	2	no	—
974	C₄	D₄²×C₁₃₉	1	4	yes	—
975	C₂	—	2	4	no	—
976	C₂	—	4	4	no	—
977	C₂	—	4	2	no	—
978	C₂	—	8	2	no	—
979	C₂	—	8	2	no	—
980	C₂	C₂×#532×C₁₃₉	1	1	yes	characteristic
981	C₂	C₂×D₄²×C₁₃₉	1	1	yes	characteristic
982	C₂	D₄×#41×C₁₃₉	1	2	yes	—
983	C₂	#3500×C₁₃₉	1	1	yes	characteristic
984	C₂	#3514×C₁₃₉	1	2	yes	—

	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×#546×C₁₃₉	C₂	semidirect
3. C₂×#532×C₁₃₉	C₂	semidirect
4. C₂²×#124×C₁₃₉	C₂	semidirect
5. #2858×C₁₃₉	C₂	semidirect
6. #2850×C₁₃₉	C₂	semidirect
7. #2850×C₁₃₉	C₂	semidirect
8. #2555×C₁₃₉	C₂	semidirect
9. #2545×C₁₃₉	C₂	semidirect
10. #2544×C₁₃₉	C₂	semidirect
11. #2461×C₁₃₉	C₂	semidirect
12. #2434×C₁₃₉	C₂	semidirect
13. #2433×C₁₃₉	C₂	semidirect
14. #2432×C₁₃₉	C₂	semidirect
15. #2431×C₁₃₉	C₂	semidirect
16. #2424×C₁₃₉	C₂	semidirect
17. #2358×C₁₃₉	C₂	semidirect
18. C₄×#124×C₁₃₉	C₂	semidirect
19. C₄²×D₄×C₁₃₉	C₂	semidirect
21. C₂²×#41×C₁₃₉	C₂²	semidirect
27. C₂×C₄⋊Q₈×C₁₃₉	C₂²	semidirect
28. C₂×C₄⋊Q₈×C₁₃₉	C₂²	semidirect
38. C₂×#124×C₁₃₉	C₂²	semidirect
39. C₂×#124×C₁₃₉	C₂²	semidirect
40. C₂×#124×C₁₃₉	C₂²	semidirect
43. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
44. C₂×C₂²⋊Q₈×C₁₃₉	C₂²	semidirect
49. C₂×#121×C₁₃₉	C₂²	semidirect
52. C₂×C₄×Q₈×C₁₃₉	C₂²	semidirect
57. C₂×C₄×D₄×C₁₃₉	C₂²	semidirect
61. C₂²×C₄²×C₁₃₉	C₂²	semidirect
62. #396×C₁₃₉	C₂²	semidirect
63. #395×C₁₃₉	C₂²	semidirect
64. #394×C₁₃₉	C₂²	semidirect
65. #394×C₁₃₉	C₂²	semidirect
67. #392×C₁₃₉	C₂²	semidirect
68. #391×C₁₃₉	C₂²	semidirect
69. #391×C₁₃₉	C₂²	semidirect
70. #391×C₁₃₉	C₂²	semidirect
73. #390×C₁₃₉	C₂²	semidirect
74. #390×C₁₃₉	C₂²	semidirect
75. #390×C₁₃₉	C₂²	semidirect
76. #388×C₁₃₉	C₂²	semidirect
77. #388×C₁₃₉	C₂²	semidirect
78. #388×C₁₃₉	C₂²	semidirect
79. #388×C₁₃₉	C₂²	semidirect
81. #386×C₁₃₉	C₂²	semidirect
82. #386×C₁₃₉	C₂²	semidirect
83. #386×C₁₃₉	C₂²	semidirect
85. #385×C₁₃₉	C₂²	semidirect
86. #382×C₁₃₉	C₂²	semidirect
87. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
88. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
91. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
92. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
93. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
94. C₄³×C₁₃₉	C₂²	semidirect
143. #124×C₁₃₉	D₄	semidirect
160. C₄×D₄×C₁₃₉	D₄	semidirect
334. C₂²⋊C₄×C₁₃₉	#41	semidirect
462. C₂²×C₁₃₉	#532	semidirect
492. #36124	C₁₃₉	direct (N × H)
493. C₁₃₉	#36124	direct (N × H)
494. C₂×#548	C₂×C₁₃₉	semidirect
495. C₂×#546	C₂×C₁₃₉	semidirect
496. C₂×#532	C₂×C₁₃₉	semidirect
497. C₂²×#124	C₂×C₁₃₉	semidirect
498. #2858	C₂×C₁₃₉	semidirect
499. #2850	C₂×C₁₃₉	semidirect
500. #2850	C₂×C₁₃₉	semidirect
501. #2555	C₂×C₁₃₉	semidirect
502. #2545	C₂×C₁₃₉	semidirect
503. #2544	C₂×C₁₃₉	semidirect
504. #2461	C₂×C₁₃₉	semidirect
505. #2434	C₂×C₁₃₉	semidirect
506. #2433	C₂×C₁₃₉	semidirect
507. #2432	C₂×C₁₃₉	semidirect
508. #2431	C₂×C₁₃₉	semidirect
509. #2424	C₂×C₁₃₉	semidirect
510. #2358	C₂×C₁₃₉	semidirect
511. C₄×#124	C₂×C₁₃₉	semidirect
512. C₄²×D₄	C₂×C₁₃₉	semidirect
514. C₂²×#41	C₂²×C₁₃₉	semidirect
520. C₂×C₄⋊Q₈	C₂²×C₁₃₉	semidirect
521. C₂×C₄⋊Q₈	C₂²×C₁₃₉	semidirect
531. C₂×#124	C₂²×C₁₃₉	semidirect
532. C₂×#124	C₂²×C₁₃₉	semidirect
533. C₂×#124	C₂²×C₁₃₉	semidirect
536. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
537. C₂×C₂²⋊Q₈	C₂²×C₁₃₉	semidirect
542. C₂×#121	C₂²×C₁₃₉	semidirect
545. C₂×C₄×Q₈	C₂²×C₁₃₉	semidirect
550. C₂×C₄×D₄	C₂²×C₁₃₉	semidirect
554. C₂²×C₄²	C₂²×C₁₃₉	semidirect
555. #396	C₂²×C₁₃₉	semidirect
556. #395	C₂²×C₁₃₉	semidirect
557. #394	C₂²×C₁₃₉	semidirect
558. #394	C₂²×C₁₃₉	semidirect
560. #392	C₂²×C₁₃₉	semidirect
561. #391	C₂²×C₁₃₉	semidirect
562. #391	C₂²×C₁₃₉	semidirect
563. #391	C₂²×C₁₃₉	semidirect
566. #390	C₂²×C₁₃₉	semidirect
567. #390	C₂²×C₁₃₉	semidirect
568. #390	C₂²×C₁₃₉	semidirect
569. #388	C₂²×C₁₃₉	semidirect
570. #388	C₂²×C₁₃₉	semidirect
571. #388	C₂²×C₁₃₉	semidirect
572. #388	C₂²×C₁₃₉	semidirect
574. #386	C₂²×C₁₃₉	semidirect
575. #386	C₂²×C₁₃₉	semidirect
576. #386	C₂²×C₁₃₉	semidirect
578. #385	C₂²×C₁₃₉	semidirect
579. #382	C₂²×C₁₃₉	semidirect
580. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
581. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
584. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
585. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
586. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
587. C₄³	C₂²×C₁₃₉	semidirect
636. #124	D₄×C₁₃₉	semidirect
653. C₄×D₄	D₄×C₁₃₉	semidirect
827. C₂²⋊C₄	#41×C₁₃₉	semidirect
955. C₂²	#532×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×#546×C₁₃₉	2
C₂×#532×C₁₃₉	2
C₂²×#124×C₁₃₉	2
#2858×C₁₃₉	2
#2850×C₁₃₉	2
#2555×C₁₃₉	2
#2545×C₁₃₉	2
#2544×C₁₃₉	2
#2461×C₁₃₉	2
#2434×C₁₃₉	2
#2433×C₁₃₉	2
#2432×C₁₃₉	2
#2431×C₁₃₉	2
#2424×C₁₃₉	2
#2358×C₁₃₉	2
C₄×#124×C₁₃₉	2
C₄²×D₄×C₁₃₉	2
#36124	139

Subgroups — C139×#36124 #48030720

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36124 #48030720