Subgroups — #31818245

Order 17792.

408 conjugacy classes of subgroups.

The subgroup lattice has 372 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22581645	C₂	1	1	yes	maximal, characteristic, complemented
2	#22581594	C₂	1	1	yes	maximal, characteristic
3	#22581309	C₂	1	1	yes	maximal, characteristic, complemented
4	#22581281	C₂	1	1	yes	maximal, characteristic, complemented
5	#22581280	C₂	1	1	yes	maximal, characteristic, complemented
6	#22581256	C₂	1	1	yes	maximal, characteristic, complemented
7	#22581185	C₂	1	1	yes	maximal, characteristic, complemented
8	#22581177	C₂	1	1	yes	maximal, characteristic, complemented
9	#22581114	C₂	1	1	yes	maximal, characteristic, complemented
10	#22581103	C₂	1	1	yes	maximal, characteristic, complemented
11	#22581038	C₂	1	1	yes	maximal, characteristic, complemented
12	C₈×C₂²⋊D₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
13	#22580948	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#17984764	C₂	1	1	yes	maximal, characteristic, complemented
15	#467×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#14555786	C₂²	1	1	yes	characteristic
17	C₂²×D₅₅₆	C₂²	1	1	yes	characteristic
18	C₂×#14555772	C₂²	1	1	yes	characteristic
19	C₂×#14555772	C₂²	1	1	yes	characteristic
20	C₂×C₈×D₁₃₉	C₂²	1	1	yes	characteristic, complemented
21	#17984837	—	2	1	no	—
22	#17984833	—	2	1	no	—
23	#17984833	C₂²	1	1	yes	characteristic, complemented
24	#17984831	C₂²	1	1	yes	characteristic
25	#17984827	—	2	1	no	—
26	#17984826	—	2	1	no	—
27	#17984818	C₂²	1	1	yes	characteristic, complemented
28	#17984817	—	2	1	no	—
29	#17984817	C₂²	1	1	yes	characteristic
30	#17984812	—	2	1	no	—
31	Q₈×Dic₁₃₉	C₂²	1	1	yes	characteristic, complemented
32	#17984804	C₂²	1	1	yes	characteristic
33	C₄×C₂²⋊D₁₃₉	C₂²	1	1	yes	characteristic
34	#17984800	C₂²	1	1	yes	characteristic, complemented
35	#17984798	—	2	1	no	—
36	C₂×C₄⋊Dic₁₃₉	C₂²	1	1	yes	characteristic
37	C₂²⋊C₄×D₁₃₉	—	2	1	no	—
38	#17984773	C₂²	1	1	yes	characteristic, complemented
39	#17984773	C₂²	1	1	yes	characteristic, complemented
40	Dic₁₃₉⋊C₈	C₂²	1	1	yes	characteristic, complemented
41	#17984766	C₂²	1	1	yes	characteristic, complemented
42	#17984766	C₂²	1	1	yes	characteristic, complemented
43	#17984764	C₂²	1	1	yes	characteristic
44	#17984764	C₂²	1	1	yes	characteristic
45	#17984764	C₂²	1	1	yes	characteristic
46	#17984764	C₂²	1	1	yes	characteristic
47	#17984762	C₂²	1	1	yes	characteristic
48	#17984762	C₂²	1	1	yes	characteristic
49	C₂²⋊(C₁₃₉⋊C₈)	C₂²	1	1	yes	characteristic
50	(C₂×D₁₃₉)⋊C₈	C₂²	1	1	yes	characteristic, complemented
51	C₈×Dic₁₃₉	C₂²	1	1	yes	characteristic, complemented
52	C₂×Q₁₆×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
53	C₂²×C₈×C₁₃₉	C₂²	1	1	yes	characteristic
54	C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
55	C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
56	#107×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
57	#103×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
58	#103×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
59	C₂³×D₁₃₉	—	2	1	no	—
60	#14555786	—	2	2	no	—
61	#14555786	—	4	1	no	—
62	C₂×D₅₅₆	—	2	2	no	—
63	C₂×D₅₅₆	—	2	1	no	—
64	C₂×D₅₅₆	—	2	1	no	—
65	C₂×D₅₅₆	—	2	1	no	—
66	C₂×D₅₅₆	—	4	1	no	—
67	C₂×D₅₅₆	C₂³	1	1	yes	characteristic
68	C₂×D₅₅₆	C₂³	1	1	yes	characteristic
69	C₂×C₂²⋊D₁₃₉	D₄	1	1	yes	characteristic
70	C₂²×Dic₁₃₉	—	2	1	no	—
71	C₂×C₄×D₁₃₉	—	2	1	no	—
72	C₂×C₄×D₁₃₉	—	2	1	no	—
73	C₂×C₄×D₁₃₉	C₂³	1	1	yes	characteristic
74	#14555772	—	2	2	no	—
75	#14555772	—	4	1	no	—
76	C₂×C₁₃₉⋊C₈	C₂³	1	1	yes	characteristic
77	C₂×C₁₃₉⋊C₈	C₂³	1	1	yes	characteristic
78	C₈×D₁₃₉	—	4	1	no	—
79	C₄⋊Dic₁₃₉	—	2	1	no	—
80	C₄⋊Dic₁₃₉	—	2	1	no	—
81	C₄⋊Dic₁₃₉	—	2	1	no	—
82	C₄⋊Dic₁₃₉	C₂³	1	1	yes	characteristic
83	C₄⋊Dic₁₃₉	C₂³	1	1	yes	characteristic
84	Dic₁₃₉⋊C₄	—	2	1	no	—
85	Dic₁₃₉⋊C₄	—	2	1	no	—
86	Dic₁₃₉⋊C₄	D₄	1	1	yes	characteristic
87	C₂²⋊Dic₁₃₉	D₄	1	1	yes	characteristic
88	(C₂×D₁₃₉)⋊C₄	—	2	1	no	—
89	(C₂×D₁₃₉)⋊C₄	—	2	1	no	—
90	(C₂×D₁₃₉)⋊C₄	—	2	1	no	—
91	(C₂×D₁₃₉)⋊C₄	—	2	1	no	—
92	(C₂×D₁₃₉)⋊C₄	—	2	1	no	—
93	(C₂×D₁₃₉)⋊C₄	—	2	1	no	—
94	(C₂×D₁₃₉)⋊C₄	D₄	1	1	yes	characteristic
95	C₄×Dic₁₃₉	—	2	1	no	—
96	C₄×Dic₁₃₉	—	2	1	no	—
97	C₄×Dic₁₃₉	C₂³	1	1	yes	characteristic
98	C₂×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
99	C₂×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
100	C₂²×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
101	Q₁₆×C₁₃₉	—	4	1	no	—
102	C₂×C₈×C₁₃₉	—	4	1	no	—
103	C₂×C₈×C₁₃₉	C₂³	1	1	yes	characteristic
104	C₂×C₈×C₁₃₉	C₂³	1	1	yes	characteristic
105	C₄⋊C₄×C₁₃₉	—	2	1	no	—
106	C₄⋊C₄×C₁₃₉	—	2	1	no	—
107	C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
108	C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
109	C₂²⋊C₄×C₁₃₉	—	2	1	no	—
110	C₂²⋊C₄×C₁₃₉	—	2	1	no	—
111	C₂²×D₁₃₉	—	2	1	no	—
112	C₂²×D₁₃₉	—	2	1	no	—
113	C₂²×D₁₃₉	—	4	2	no	—
114	C₂²×D₁₃₉	—	4	2	no	—
115	C₂²×D₁₃₉	—	8	1	no	—
116	C₂²×D₁₃₉	C₂×D₄	1	1	yes	characteristic
117	D₅₅₆	—	2	1	no	—
118	D₅₅₆	—	2	1	no	—
119	D₅₅₆	—	2	1	no	—
120	D₅₅₆	—	4	2	no	—
121	D₅₅₆	—	4	2	no	—
122	D₅₅₆	—	8	1	no	—
123	D₅₅₆	#41	1	2	yes	—
124	C₂²⋊D₁₃₉	—	2	2	no	—
125	C₂×Dic₁₃₉	—	2	1	no	—
126	C₂×Dic₁₃₉	—	2	1	no	—
127	C₂×Dic₁₃₉	—	4	2	no	—
128	C₂×Dic₁₃₉	C₂×D₄	1	1	yes	characteristic
129	C₂×Dic₁₃₉	C₂×D₄	1	1	yes	characteristic
130	C₂×Dic₁₃₉	C₂×D₄	1	1	yes	characteristic
131	C₄×D₁₃₉	—	2	1	no	—
132	C₄×D₁₃₉	—	2	1	no	—
133	C₄×D₁₃₉	—	4	2	no	—
134	C₄×D₁₃₉	—	8	1	no	—
135	C₁₃₉⋊C₈	—	2	1	no	—
136	C₁₃₉⋊C₈	—	2	1	no	—
137	C₂³×C₁₃₉	C₂×D₄	1	1	yes	characteristic
138	Q₈×C₁₃₉	—	2	1	no	—
139	Q₈×C₁₃₉	—	2	1	no	—
140	Q₈×C₁₃₉	—	2	1	no	—
141	Q₈×C₁₃₉	—	2	1	no	—
142	C₂×C₄×C₁₃₉	—	2	1	no	—
143	C₂×C₄×C₁₃₉	—	2	1	no	—
144	C₂×C₄×C₁₃₉	—	2	1	no	—
145	C₂×C₄×C₁₃₉	—	2	1	no	—
146	C₂×C₄×C₁₃₉	—	2	1	no	—
147	C₂×C₄×C₁₃₉	—	2	1	no	—
148	C₂×C₄×C₁₃₉	C₂×D₄	1	1	yes	characteristic
149	C₂×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
150	C₈×C₁₃₉	—	2	1	no	—
151	C₈×C₁₃₉	—	2	1	no	—
152	C₂²×C₁₃₉	—	2	1	no	—
153	C₂²×C₁₃₉	—	2	1	no	—
154	C₂²×C₁₃₉	#135	1	2	yes	—
155	C₂²×C₁₃₉	C₂²×D₄	1	1	yes	characteristic
156	C₂×D₁₃₉	—	2	1	no	—
157	C₂×D₁₃₉	—	2	2	no	—
158	C₂×D₁₃₉	—	2	1	no	—
159	C₂×D₁₃₉	—	2	1	no	—
160	C₂×D₁₃₉	—	4	1	no	—
161	C₂×D₁₃₉	—	4	1	no	—
162	C₂×D₁₃₉	—	4	1	no	—
163	C₂×D₁₃₉	—	4	1	no	—
164	C₂×D₁₃₉	—	4	1	no	—
165	C₂×D₁₃₉	—	8	4	no	—
166	C₄×C₁₃₉	—	2	1	no	—
167	C₄×C₁₃₉	—	4	1	no	—
168	C₄×C₁₃₉	—	4	1	no	—
169	C₄×C₁₃₉	—	4	1	no	—
170	C₄×C₁₃₉	—	4	1	no	—
171	C₄×C₁₃₉	C₂×#41	1	1	yes	characteristic
172	C₄×C₁₃₉	H(5,𝔽₂)	1	1	yes	characteristic
173	Dic₁₃₉	—	2	1	no	—
174	Dic₁₃₉	—	2	1	no	—
175	Dic₁₃₉	—	2	1	no	—
176	Dic₁₃₉	—	4	1	no	—
177	Dic₁₃₉	—	4	1	no	—
178	C₂×C₁₃₉	—	2	2	no	—
179	C₂×C₁₃₉	#546	1	1	yes	characteristic
180	C₂×C₁₃₉	C₂×#135	1	1	yes	characteristic
181	C₂×C₁₃₉	#577	1	1	yes	characteristic
182	D₁₃₉	—	4	1	no	—
183	D₁₃₉	—	4	2	no	—
184	D₁₃₉	—	8	1	no	—
185	C₁₃₉	#3296	1	1	yes	characteristic, complemented, Sylow
186	#3296	—	139	1	no	maximal, Sylow
187	#552	—	139	1	no	—
188	#546	—	139	1	no	—
189	#488	—	139	1	no	—
190	#483	—	139	1	no	—
191	#482	—	139	1	no	—
192	#478	—	139	1	no	—
193	#467	D₁₃₉	1	1	yes	characteristic, complemented
194	#465	—	139	1	no	—
195	#464	—	139	1	no	—
196	#452	—	139	1	no	—
197	#450	—	139	1	no	—
198	C₄×SD₁₆	—	139	1	no	—
199	C₈×D₄	—	139	1	no	—
200	#416	—	139	1	no	—
201	C₂×#102	—	139	1	no	—
202	C₂×#41	—	139	1	no	—
203	C₂²×D₄	—	139	1	no	—
204	C₂×Q₁₆	C₂×D₁₃₉	1	1	yes	characteristic, complemented
205	C₂×SD₁₆	—	139	1	no	—
206	C₂×SD₁₆	—	139	1	no	—
207	C₂²×C₈	—	139	1	no	—
208	C₂²×C₈	C₂×D₁₃₉	1	1	yes	characteristic
209	#126	—	278	1	no	—
210	#125	—	278	1	no	—
211	#125	—	139	1	no	—
212	#124	—	139	1	no	—
213	#123	—	278	1	no	—
214	#123	—	278	1	no	—
215	C₂²⋊Q₈	—	139	1	no	—
216	C₂²⋊Q₈	C₂×D₁₃₉	1	1	yes	characteristic
217	C₂²⋊Q₈	C₂×D₁₃₉	1	1	yes	characteristic
218	#121	—	278	1	no	—
219	#121	—	139	1	no	—
220	#120	—	278	1	no	—
221	C₄×Q₈	—	139	1	no	—
222	C₄×D₄	—	139	1	no	—
223	C₄×D₄	—	139	1	no	—
224	#117	—	278	1	no	—
225	#117	—	139	1	no	—
226	C₂×C₄⋊C₄	—	139	1	no	—
227	C₂×C₂²⋊C₄	—	278	1	no	—
228	#107	C₂×D₁₃₉	1	1	yes	characteristic, complemented
229	#106	—	139	1	no	—
230	#106	—	139	1	no	—
231	C₄⋊C₈	—	139	1	no	—
232	#103	—	139	1	no	—
233	#103	—	139	1	no	—
234	#103	C₂×D₁₃₉	1	1	yes	characteristic, complemented
235	#103	C₂×D₁₃₉	1	1	yes	characteristic, complemented
236	#102	—	139	1	no	—
237	#102	—	139	1	no	—
238	#102	—	139	1	no	—
239	#102	—	139	1	no	—
240	#102	—	139	1	no	—
241	#102	—	139	1	no	—
242	C₂²⋊C₈	—	139	1	no	—
243	C₂²⋊C₈	—	139	1	no	—
244	C₄×C₈	—	139	1	no	—
245	C₂⁴	—	278	1	no	—
246	#41	—	278	2	no	—
247	#41	—	556	1	no	—
248	C₂×Q₈	C₂²×D₁₃₉	1	1	yes	characteristic
249	C₂×Q₈	C₂²×D₁₃₉	1	1	yes	characteristic
250	C₂×D₄	—	278	2	no	—
251	C₂×D₄	—	278	1	no	—
252	C₂×D₄	—	278	1	no	—
253	C₂×D₄	—	278	1	no	—
254	C₂×D₄	—	556	1	no	—
255	C₂×D₄	—	139	1	no	—
256	C₂×D₄	—	139	1	no	—
257	C₂×D₄	—	139	1	no	—
258	C₂²×C₄	—	278	1	no	—
259	C₂²×C₄	—	278	1	no	—
260	C₂²×C₄	—	278	1	no	—
261	C₂²×C₄	—	139	1	no	—
262	C₂²×C₄	C₂²×D₁₃₉	1	1	yes	characteristic
263	Q₁₆	—	4	1	no	—
264	SD₁₆	—	278	2	no	—
265	SD₁₆	—	556	1	no	—
266	C₂×C₈	—	4	1	no	—
267	C₂×C₈	—	556	1	no	—
268	C₂×C₈	—	139	1	no	—
269	C₂×C₈	—	139	1	no	—
270	C₂×C₈	C₂²×D₁₃₉	1	1	yes	characteristic
271	C₂×C₈	C₂²×D₁₃₉	1	1	yes	characteristic
272	C₄⋊C₄	—	2	1	no	—
273	C₄⋊C₄	—	2	1	no	—
274	C₄⋊C₄	—	278	1	no	—
275	C₄⋊C₄	—	278	1	no	—
276	C₄⋊C₄	—	278	1	no	—
277	C₄⋊C₄	—	278	1	no	—
278	C₄⋊C₄	—	278	1	no	—
279	C₄⋊C₄	—	139	1	no	—
280	C₄⋊C₄	—	139	1	no	—
281	C₄⋊C₄	—	139	1	no	—
282	C₄⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
283	C₄⋊C₄	C₂²×D₁₃₉	1	1	yes	characteristic
284	C₂²⋊C₄	—	2	1	no	—
285	C₂²⋊C₄	—	2	1	no	—
286	C₂²⋊C₄	—	278	1	no	—
287	C₂²⋊C₄	—	278	1	no	—
288	C₂²⋊C₄	—	278	1	no	—
289	C₂²⋊C₄	—	278	1	no	—
290	C₂²⋊C₄	—	278	1	no	—
291	C₂²⋊C₄	—	278	1	no	—
292	C₂²⋊C₄	—	139	1	no	—
293	C₂²⋊C₄	—	139	1	no	—
294	C₄²	—	278	1	no	—
295	C₄²	—	278	1	no	—
296	C₄²	—	139	1	no	—
297	C₂³	—	278	1	no	—
298	C₂³	—	278	1	no	—
299	C₂³	—	556	2	no	—
300	C₂³	—	556	2	no	—
301	C₂³	—	1112	1	no	—
302	C₂³	—	139	1	no	—
303	C₂³	D₄×D₁₃₉	1	1	yes	characteristic
304	Q₈	—	2	1	no	—
305	Q₈	—	2	1	no	—
306	Q₈	—	2	1	no	—
307	Q₈	—	2	1	no	—
308	D₄	—	278	2	no	—
309	D₄	—	278	1	no	—
310	D₄	—	278	1	no	—
311	D₄	—	278	1	no	—
312	D₄	—	556	2	no	—
313	D₄	—	556	2	no	—
314	D₄	—	1112	1	no	—
315	D₄	—	139	2	no	—
316	C₂×C₄	—	2	1	no	—
317	C₂×C₄	—	2	1	no	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	2	1	no	—
320	C₂×C₄	—	2	1	no	—
321	C₂×C₄	—	2	1	no	—
322	C₂×C₄	—	278	1	no	—
323	C₂×C₄	—	278	1	no	—
324	C₂×C₄	—	278	1	no	—
325	C₂×C₄	—	278	1	no	—
326	C₂×C₄	—	556	2	no	—
327	C₂×C₄	—	556	2	no	—
328	C₂×C₄	—	1112	1	no	—
329	C₂×C₄	—	139	1	no	—
330	C₂×C₄	—	139	1	no	—
331	C₂×C₄	—	139	1	no	—
332	C₂×C₄	D₄×D₁₃₉	1	1	yes	characteristic
333	C₂×C₄	C₂³×D₁₃₉	1	1	yes	characteristic
334	C₈	—	2	1	no	—
335	C₈	—	2	1	no	—
336	C₈	—	278	1	no	—
337	C₈	—	278	1	no	—
338	C₂²	—	2	1	no	—
339	C₂²	—	2	1	no	—
340	C₂²	—	278	1	no	—
341	C₂²	—	278	1	no	—
342	C₂²	—	278	2	no	—
343	C₂²	—	278	1	no	—
344	C₂²	—	556	1	no	—
345	C₂²	—	556	1	no	—
346	C₂²	—	556	1	no	—
347	C₂²	—	556	1	no	—
348	C₂²	—	556	1	no	—
349	C₂²	—	1112	4	no	—
350	C₂²	#17984865	1	2	yes	—
351	C₂²	C₂×D₄×D₁₃₉	1	1	yes	characteristic
352	C₄	—	2	1	no	—
353	C₄	—	4	1	no	—
354	C₄	—	4	1	no	—
355	C₄	—	4	1	no	—
356	C₄	—	4	1	no	—
357	C₄	—	278	1	no	—
358	C₄	—	278	1	no	—
359	C₄	—	278	1	no	—
360	C₄	—	556	1	no	—
361	C₄	—	556	1	no	—
362	C₄	#41×D₁₃₉	1	1	yes	characteristic
363	C₄	#17984887	1	1	yes	characteristic
364	C₂	—	2	2	no	—
365	C₂	—	556	1	no	—
366	C₂	—	556	2	no	—
367	C₂	—	1112	1	no	—
368	C₂	#22581592	1	1	yes	characteristic
369	C₂	C₂×#17984865	1	1	yes	characteristic
370	C₂	#22581760	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₁₃₉
commutator, cosocle	C₂×C₄×C₁₃₉	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₃₉
Fitting	#467×C₁₃₉	C₂
socle	C₂²×C₁₃₉	C₂²×D₄
prime radical	#22581594	C₂
hypercenter	#467	D₁₃₉
hypocenter	C₁₃₉	#3296
LCS	G ▷ C₂×C₄×C₁₃₉ ▷ C₂×C₁₃₉ ▷ C₁₃₉
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ #467

Complements

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

N	H ≅ G/N	type
1. #22581645	C₂	semidirect
3. #22581309	C₂	semidirect
4. #22581281	C₂	semidirect
5. #22581280	C₂	semidirect
6. #22581256	C₂	semidirect
7. #22581185	C₂	semidirect
8. #22581177	C₂	semidirect
9. #22581114	C₂	semidirect
10. #22581103	C₂	semidirect
11. #22581038	C₂	semidirect
12. C₈×C₂²⋊D₁₃₉	C₂	semidirect
13. #22580948	C₂	semidirect
14. C₂×#17984764	C₂	semidirect
15. #467×C₁₃₉	C₂	semidirect
20. C₂×C₈×D₁₃₉	C₂²	semidirect
23. #17984833	C₂²	semidirect
27. #17984818	C₂²	semidirect
31. Q₈×Dic₁₃₉	C₂²	semidirect
34. #17984800	C₂²	semidirect
38. #17984773	C₂²	semidirect
39. #17984773	C₂²	semidirect
40. Dic₁₃₉⋊C₈	C₂²	semidirect
41. #17984766	C₂²	semidirect
42. #17984766	C₂²	semidirect
50. (C₂×D₁₃₉)⋊C₈	C₂²	semidirect
51. C₈×Dic₁₃₉	C₂²	semidirect
52. C₂×Q₁₆×C₁₃₉	C₂²	semidirect
56. #107×C₁₃₉	C₂²	semidirect
57. #103×C₁₃₉	C₂²	semidirect
58. #103×C₁₃₉	C₂²	semidirect
185. C₁₃₉	#3296	semidirect
193. #467	D₁₃₉	semidirect
204. C₂×Q₁₆	C₂×D₁₃₉	semidirect
228. #107	C₂×D₁₃₉	semidirect
234. #103	C₂×D₁₃₉	semidirect
235. #103	C₂×D₁₃₉	semidirect

Maximal subgroups

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

subgroup	index
#22581645	2
#22581594	2
#22581309	2
#22581281	2
#22581280	2
#22581256	2
#22581185	2
#22581177	2
#22581114	2
#22581103	2
#22581038	2
C₈×C₂²⋊D₁₃₉	2
#22580948	2
C₂×#17984764	2
#467×C₁₃₉	2
#3296	139