Finite Group Databasebeta

← C139×#34488 #48029084

Subgroups — C139×#34488 #48029084

Order 35584.

1940 conjugacy classes of subgroups.

The subgroup lattice has 626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#557×C139C211yesmaximal, characteristic
2#2382×C139C214yesmaximal
3#2370×C139C212yesmaximal
4#2365×C139C212yesmaximal
5#2365×C139C211yesmaximal, characteristic
6#2355×C139C211yesmaximal, characteristic
7#2355×C139C212yesmaximal
8#2351×C139C212yesmaximal
9Q8×C4⋊C4×C139C211yesmaximal, characteristic
10#2336×C139C214yesmaximal
11#2330×C139C212yesmaximal
12#2327×C139C212yesmaximal
13#2320×C139C212yesmaximal
14#2320×C139C212yesmaximal
15C4×C4⋊Q8×C139C211yesmaximal, characteristic
16#2295×C139C211yesmaximal, characteristic
17#2295×C139C211yesmaximal, characteristic
18#557×C139C4116yescomplemented
19C2×C4⋊Q8×C139C2211yescharacteristic
20C2×C4⋊Q8×C139C2212yes—
21C2×#125×C139C2212yes—
22C2×#125×C139C2214yes—
23C2×C4×Q8×C139C2212yes—
24C2×C4×Q8×C139C2212yes—
25C2×C4×Q8×C139C2212yes—
26C2×C4×Q8×C139C2211yescharacteristic
27C2×C4×Q8×C139C2211yescharacteristic
28C2×C4×Q8×C139C2212yes—
29C2×C4×Q8×C139C2212yes—
30#391×C139C2211yescharacteristic
31#391×C139C2211yescharacteristic
32#391×C139C2211yescharacteristic
33#391×C139C2211yescharacteristic
34#391×C139C2212yes—
35#391×C139C2212yes—
36#391×C139C2212yes—
37#389×C139C2211yescharacteristic
38#389×C139C2211yescharacteristic
39#389×C139C2211yescharacteristic
40#389×C139C2211yescharacteristic
41#389×C139C2212yes—
42#389×C139C2212yes—
43#389×C139C2212yes—
44#389×C139C2212yes—
45#389×C139C2214yes—
46#389×C139C2214yes—
47#389×C139C2214yes—
48#389×C139C2214yes—
49#387×C139C2212yes—
50#387×C139C2212yes—
51#387×C139C2212yes—
52#387×C139C2212yes—
53#387×C139C2214yes—
54#387×C139C2214yes—
55#387×C139C2214yes—
56#387×C139C2214yes—
57#387×C139C2214yes—
58#387×C139C2214yes—
59#387×C139C2214yes—
60#387×C139C2214yes—
61#387×C139C2214yes—
62#387×C139C2214yes—
63#384×C139C2211yescharacteristic
64#384×C139C2212yes—
65#383×C139C2214yes—
66#382×C139C2214yes—
67#382×C139C2214yes—
68#382×C139C2212yes—
69C4×C4⋊C4×C139C2211yescharacteristic
70C4×C4⋊C4×C139C2212yes—
71C4×C4⋊C4×C139C2211yescharacteristic
72C4×C4⋊C4×C139C2212yes—
73C4×C4⋊C4×C139C2212yes—
74C4×C4⋊C4×C139C2212yes—
75C4×C4⋊C4×C139C2212yes—
76C4×C4⋊C4×C139C2212yes—
77C4×C4⋊C4×C139C2212yes—
78C4×C4⋊C4×C139C2212yes—
79C4×C4⋊C4×C139C2214yes—
80C4×C4⋊C4×C139C2214yes—
81#376×C139C2212yes—
82#376×C139C2212yes—
83C43×C139C2211yescharacteristic
84C22×Q8×C139C2312yes—
85C22×Q8×C139C2311yescharacteristic
86C22×Q8×C139C2311yescharacteristic
87C4⋊Q8×C139C2×C418yes—
88C4⋊Q8×C139C2×C4116yes—
89#125×C139C2×C4116yes—
90#125×C139C2×C4132yes—
91C4×Q8×C139—44no—
92C4×Q8×C139—44no—
93C4×Q8×C139—44no—
94C4×Q8×C139C2×C4116yes—
95C4×Q8×C139C2×C418yes—
96C4×Q8×C139C2×C4116yes—
97C4×Q8×C139C2×C418yes—
98C2×C4⋊C4×C139C2311yescharacteristic
99C2×C4⋊C4×C139C2312yes—
100C2×C4⋊C4×C139C2311yescharacteristic
101C2×C4⋊C4×C139C2312yes—
102C2×C4⋊C4×C139C2312yes—
103C2×C4⋊C4×C139C2312yes—
104C2×C4⋊C4×C139C2311yescharacteristic
105C2×C4⋊C4×C139C2311yescharacteristic
106C2×C4⋊C4×C139C2314yes—
107C2×C4⋊C4×C139C2314yes—
108C2×C4⋊C4×C139C2314yes—
109C2×C4⋊C4×C139C2312yes—
110C2×C4⋊C4×C139C2314yes—
111C2×C4⋊C4×C139C2312yes—
112C2×C4⋊C4×C139C2312yes—
113C2×C4⋊C4×C139C2311yescharacteristic
114C2×C4⋊C4×C139C2311yescharacteristic
115C2×C4⋊C4×C139C2312yes—
116C2×C4⋊C4×C139C2312yes—
117C2×C4⋊C4×C139C2314yes—
118C2×C4⋊C4×C139C2312yes—
119C2×C4⋊C4×C139C2314yes—
120C2×C4⋊C4×C139C2314yes—
121C2×C4⋊C4×C139C2312yes—
122C2×C42×C139C2311yescharacteristic
123C2×C42×C139C2312yes—
124C2×C42×C139C2311yescharacteristic
125C2×C42×C139C2311yescharacteristic
126C2×C42×C139C2311yescharacteristic
127C2×C42×C139C2311yescharacteristic
128C2×C42×C139C2312yes—
129C2×C42×C139C2314yes—
130C2×C42×C139C2314yes—
131C2×C42×C139C2314yes—
132C2×C42×C139C2311yescharacteristic
133C2×C42×C139C2314yes—
134C2×C42×C139C2312yes—
135C2×C42×C139C2314yes—
136C2×C42×C139C2311yescharacteristic
137C2×C42×C139C2312yes—
138#95×C139C2312yes—
139#95×C139C2312yes—
140#95×C139C2312yes—
141#95×C139C2312yes—
142#95×C139C2312yes—
143#95×C139C2312yes—
144#95×C139C2312yes—
145#95×C139C2312yes—
146#95×C139C2312yes—
147#95×C139C2312yes—
148#95×C139C2312yes—
149#95×C139C2314yes—
150#95×C139C2314yes—
151#95×C139C2314yes—
152#95×C139C2314yes—
153#95×C139C2314yes—
154#95×C139C2314yes—
155#95×C139C2314yes—
156#95×C139C2314yes—
157#95×C139C2312yes—
158#95×C139C2312yes—
159#95×C139C2312yes—
160C2×Q8×C139—24no—
161C2×Q8×C139—22no—
162C2×Q8×C139—22no—
163C2×Q8×C139—22no—
164C2×Q8×C139—24no—
165C2×Q8×C139—22no—
166C2×Q8×C139C22×C414yes—
167C2×Q8×C139C22×C414yes—
168C2×Q8×C139C22×C418yes—
169C22×C4×C139C2411yescharacteristic
170C22×C4×C139C2411yescharacteristic
171C22×C4×C139C2412yes—
172C22×C4×C139C2412yes—
173C22×C4×C139C2412yes—
174C22×C4×C139C2412yes—
175C22×C4×C139C2411yescharacteristic
176C22×C4×C139C2414yes—
177C22×C4×C139C2412yes—
178C22×C4×C139C2411yescharacteristic
179C22×C4×C139C2412yes—
180C22×C4×C139C2412yes—
181C22×C4×C139C2412yes—
182C22×C4×C139C2414yes—
183C22×C4×C139C2411yescharacteristic
184C22×C4×C139C2411yescharacteristic
185C22×C4×C139C2411yescharacteristic
186C4⋊C4×C139—22no—
187C4⋊C4×C139—24no—
188C4⋊C4×C139—24no—
189C4⋊C4×C139—24no—
190C4⋊C4×C139—22no—
191C4⋊C4×C139—22no—
192C4⋊C4×C139—24no—
193C4⋊C4×C139—22no—
194C4⋊C4×C139—42no—
195C4⋊C4×C139—42no—
196C4⋊C4×C139—42no—
197C4⋊C4×C139—44no—
198C4⋊C4×C139—44no—
199C4⋊C4×C139—44no—
200C4⋊C4×C139—44no—
201C4⋊C4×C139C22×C414yes—
202C4⋊C4×C139C22×C418yes—
203C4⋊C4×C139C22×C4116yes—
204C4⋊C4×C139C22×C418yes—
205C4⋊C4×C139C22×C414yes—
206C4⋊C4×C139C22×C4116yes—
207C4⋊C4×C139C22×C418yes—
208C4⋊C4×C139C22×C4116yes—
209C4⋊C4×C139C22×C418yes—
210C42×C139—22no—
211C42×C139—24no—
212C42×C139—22no—
213C42×C139—22no—
214C42×C139—24no—
215C42×C139—22no—
216C42×C139—22no—
217C42×C139—44no—
218C42×C139—41no—
219C42×C139—44no—
220C42×C139—44no—
221C42×C139—44no—
222C42×C139C22×C4116yes—
223C42×C139C22×C418yes—
224C42×C139C22×C418yes—
225C42×C139C22×C414yes—
226C23×C139C2511yescharacteristic
227Q8×C139—28no—
228Q8×C139—216no—
229Q8×C139—28no—
230C2×C4×C139—21no—
231C2×C4×C139—24no—
232C2×C4×C139—22no—
233C2×C4×C139—21no—
234C2×C4×C139—21no—
235C2×C4×C139—22no—
236C2×C4×C139—22no—
237C2×C4×C139—22no—
238C2×C4×C139—22no—
239C2×C4×C139—22no—
240C2×C4×C139—24no—
241C2×C4×C139—22no—
242C2×C4×C139—21no—
243C2×C4×C139—22no—
244C2×C4×C139—22no—
245C2×C4×C139—22no—
246C2×C4×C139—21no—
247C2×C4×C139—22no—
248C2×C4×C139—24no—
249C2×C4×C139—22no—
250C2×C4×C139—21no—
251C2×C4×C139—21no—
252C2×C4×C139—22no—
253C2×C4×C139—21no—
254C2×C4×C139—21no—
255C2×C4×C139—21no—
256C2×C4×C139—21no—
257C2×C4×C139—22no—
258C2×C4×C139—22no—
259C2×C4×C139—22no—
260C2×C4×C139—22no—
261C2×C4×C139—24no—
262C2×C4×C139—22no—
263C2×C4×C139—22no—
264C2×C4×C139—21no—
265C2×C4×C139—24no—
266C2×C4×C139—21no—
267C2×C4×C139—22no—
268C2×C4×C139C23×C414yes—
269C2×C4×C139C23×C414yes—
270C2×C4×C139C23×C412yes—
271C2×C4×C139C23×C414yes—
272C2×C4×C139C23×C418yes—
273C2×C4×C139C23×C414yes—
274C2×C4×C139C23×C412yes—
275C2×C4×C139C23×C412yes—
276C2×C4×C139H(5,𝔽2)12yes—
277C2×C4×C1392−1+412yes—
278C2×C4×C1392−1+412yes—
279C2×C4×C1392−1+412yes—
280C2×C4×C1392−1+412yes—
281C22×C139C24×C411yescharacteristic
282C22×C139C2×H(5,𝔽2)11yescharacteristic
283C22×C139C2×2−1+411yescharacteristic
284C22×C139C2×2−1+411yescharacteristic
285C22×C139C2×2−1+411yescharacteristic
286C22×C139C2×2−1+411yescharacteristic
287C22×C139#58511yescharacteristic
288C4×C139—24no—
289C4×C139—28no—
290C4×C139—24no—
291C4×C139—22no—
292C4×C139—24no—
293C4×C139—24no—
294C4×C139—22no—
295C4×C139—42no—
296C4×C139—42no—
297C4×C139—42no—
298C4×C139—41no—
299C4×C139—44no—
300C4×C139—41no—
301C4×C139—42no—
302C4×C139—41no—
303C4×C139#51914yes—
304C4×C139#52014yes—
305C2×C139C2×#51911yescharacteristic
306C2×C139C2×#52011yescharacteristic
307C2×C139C4×2−1+411yescharacteristic
308C2×C139#355211yescharacteristic
309C2×C139#355411yescharacteristic
310C2×C139#355511yescharacteristic
311C2×C139#355611yescharacteristic
312#34488C13911yesmaximal, characteristic, direct product factor, Sylow
313C139#3448811yescharacteristic, direct product factor, Sylow
314C2×#557C2×C13911yescharacteristic
315#2382C2×C13914yes—
316#2370C2×C13912yes—
317#2365C2×C13912yes—
318#2365C2×C13911yescharacteristic
319#2355C2×C13912yes—
320#2355C2×C13911yescharacteristic
321#2351C2×C13912yes—
322Q8×C4⋊C4C2×C13911yescharacteristic
323#2336C2×C13914yes—
324#2330C2×C13912yes—
325#2327C2×C13912yes—
326#2320C2×C13912yes—
327#2320C2×C13912yes—
328C4×C4⋊Q8C2×C13911yescharacteristic
329#2295C2×C13911yescharacteristic
330#2295C2×C13911yescharacteristic
331#557C4×C139116yescomplemented
332C2×C4⋊Q8C22×C13911yescharacteristic
333C2×C4⋊Q8C22×C13912yes—
334C2×#125C22×C13912yes—
335C2×#125C22×C13914yes—
336C2×C4×Q8C22×C13912yes—
337C2×C4×Q8C22×C13912yes—
338C2×C4×Q8C22×C13912yes—
339C2×C4×Q8C22×C13912yes—
340C2×C4×Q8C22×C13912yes—
341C2×C4×Q8C22×C13911yescharacteristic
342C2×C4×Q8C22×C13911yescharacteristic
343#391C22×C13912yes—
344#391C22×C13911yescharacteristic
345#391C22×C13912yes—
346#391C22×C13912yes—
347#391C22×C13911yescharacteristic
348#391C22×C13911yescharacteristic
349#391C22×C13911yescharacteristic
350#389C22×C13912yes—
351#389C22×C13912yes—
352#389C22×C13911yescharacteristic
353#389C22×C13912yes—
354#389C22×C13912yes—
355#389C22×C13911yescharacteristic
356#389C22×C13914yes—
357#389C22×C13914yes—
358#389C22×C13914yes—
359#389C22×C13914yes—
360#389C22×C13911yescharacteristic
361#389C22×C13911yescharacteristic
362#387C22×C13914yes—
363#387C22×C13914yes—
364#387C22×C13914yes—
365#387C22×C13914yes—
366#387C22×C13914yes—
367#387C22×C13914yes—
368#387C22×C13914yes—
369#387C22×C13912yes—
370#387C22×C13912yes—
371#387C22×C13914yes—
372#387C22×C13914yes—
373#387C22×C13914yes—
374#387C22×C13912yes—
375#387C22×C13912yes—
376#384C22×C13911yescharacteristic
377#384C22×C13912yes—
378#383C22×C13914yes—
379#382C22×C13914yes—
380#382C22×C13914yes—
381#382C22×C13912yes—
382C4×C4⋊C4C22×C13912yes—
383C4×C4⋊C4C22×C13912yes—
384C4×C4⋊C4C22×C13912yes—
385C4×C4⋊C4C22×C13912yes—
386C4×C4⋊C4C22×C13912yes—
387C4×C4⋊C4C22×C13912yes—
388C4×C4⋊C4C22×C13914yes—
389C4×C4⋊C4C22×C13914yes—
390C4×C4⋊C4C22×C13911yescharacteristic
391C4×C4⋊C4C22×C13912yes—
392C4×C4⋊C4C22×C13911yescharacteristic
393C4×C4⋊C4C22×C13912yes—
394#376C22×C13912yes—
395#376C22×C13912yes—
396C43C22×C13911yescharacteristic
397C22×Q8C23×C13912yes—
398C22×Q8C23×C13911yescharacteristic
399C22×Q8C23×C13911yescharacteristic
400C4⋊Q8C2×C4×C13918yes—
401C4⋊Q8C2×C4×C139116yes—
402#125C2×C4×C139116yes—
403#125C2×C4×C139132yes—
404C4×Q8—44no—
405C4×Q8—44no—
406C4×Q8—44no—
407C4×Q8C2×C4×C139116yes—
408C4×Q8C2×C4×C139116yes—
409C4×Q8C2×C4×C13918yes—
410C4×Q8C2×C4×C13918yes—
411C2×C4⋊C4C23×C13911yescharacteristic
412C2×C4⋊C4C23×C13912yes—
413C2×C4⋊C4C23×C13912yes—
414C2×C4⋊C4C23×C13911yescharacteristic
415C2×C4⋊C4C23×C13912yes—
416C2×C4⋊C4C23×C13912yes—
417C2×C4⋊C4C23×C13911yescharacteristic
418C2×C4⋊C4C23×C13911yescharacteristic
419C2×C4⋊C4C23×C13914yes—
420C2×C4⋊C4C23×C13914yes—
421C2×C4⋊C4C23×C13914yes—
422C2×C4⋊C4C23×C13912yes—
423C2×C4⋊C4C23×C13914yes—
424C2×C4⋊C4C23×C13912yes—
425C2×C4⋊C4C23×C13912yes—
426C2×C4⋊C4C23×C13911yescharacteristic
427C2×C4⋊C4C23×C13911yescharacteristic
428C2×C4⋊C4C23×C13912yes—
429C2×C4⋊C4C23×C13914yes—
430C2×C4⋊C4C23×C13912yes—
431C2×C4⋊C4C23×C13912yes—
432C2×C4⋊C4C23×C13914yes—
433C2×C4⋊C4C23×C13914yes—
434C2×C4⋊C4C23×C13912yes—
435C2×C42C23×C13911yescharacteristic
436C2×C42C23×C13912yes—
437C2×C42C23×C13911yescharacteristic
438C2×C42C23×C13911yescharacteristic
439C2×C42C23×C13911yescharacteristic
440C2×C42C23×C13911yescharacteristic
441C2×C42C23×C13912yes—
442C2×C42C23×C13914yes—
443C2×C42C23×C13914yes—
444C2×C42C23×C13914yes—
445C2×C42C23×C13911yescharacteristic
446C2×C42C23×C13914yes—
447C2×C42C23×C13912yes—
448C2×C42C23×C13914yes—
449C2×C42C23×C13911yescharacteristic
450C2×C42C23×C13912yes—
451#95C23×C13912yes—
452#95C23×C13912yes—
453#95C23×C13912yes—
454#95C23×C13912yes—
455#95C23×C13912yes—
456#95C23×C13912yes—
457#95C23×C13912yes—
458#95C23×C13912yes—
459#95C23×C13912yes—
460#95C23×C13912yes—
461#95C23×C13914yes—
462#95C23×C13912yes—
463#95C23×C13914yes—
464#95C23×C13914yes—
465#95C23×C13914yes—
466#95C23×C13914yes—
467#95C23×C13914yes—
468#95C23×C13914yes—
469#95C23×C13914yes—
470#95C23×C13912yes—
471#95C23×C13912yes—
472#95C23×C13912yes—
473C2×Q8—24no—
474C2×Q8—22no—
475C2×Q8—22no—
476C2×Q8—22no—
477C2×Q8—24no—
478C2×Q8—22no—
479C2×Q8C22×C4×C13914yes—
480C2×Q8C22×C4×C13918yes—
481C2×Q8C22×C4×C13914yes—
482C22×C4C24×C13911yescharacteristic
483C22×C4C24×C13911yescharacteristic
484C22×C4C24×C13912yes—
485C22×C4C24×C13912yes—
486C22×C4C24×C13912yes—
487C22×C4C24×C13912yes—
488C22×C4C24×C13911yescharacteristic
489C22×C4C24×C13914yes—
490C22×C4C24×C13912yes—
491C22×C4C24×C13911yescharacteristic
492C22×C4C24×C13912yes—
493C22×C4C24×C13912yes—
494C22×C4C24×C13912yes—
495C22×C4C24×C13914yes—
496C22×C4C24×C13911yescharacteristic
497C22×C4C24×C13911yescharacteristic
498C22×C4C24×C13911yescharacteristic
499C4⋊C4—22no—
500C4⋊C4—24no—
501C4⋊C4—24no—
502C4⋊C4—24no—
503C4⋊C4—22no—
504C4⋊C4—24no—
505C4⋊C4—22no—
506C4⋊C4—22no—
507C4⋊C4—42no—
508C4⋊C4—42no—
509C4⋊C4—42no—
510C4⋊C4—44no—
511C4⋊C4—44no—
512C4⋊C4—44no—
513C4⋊C4—44no—
514C4⋊C4C22×C4×C13914yes—
515C4⋊C4C22×C4×C139116yes—
516C4⋊C4C22×C4×C13918yes—
517C4⋊C4C22×C4×C13918yes—
518C4⋊C4C22×C4×C13914yes—
519C4⋊C4C22×C4×C139116yes—
520C4⋊C4C22×C4×C13918yes—
521C4⋊C4C22×C4×C139116yes—
522C4⋊C4C22×C4×C13918yes—
523C42—22no—
524C42—24no—
525C42—22no—
526C42—22no—
527C42—24no—
528C42—22no—
529C42—22no—
530C42—44no—
531C42—41no—
532C42—44no—
533C42—44no—
534C42—44no—
535C42C22×C4×C139116yes—
536C42C22×C4×C13918yes—
537C42C22×C4×C13918yes—
538C42C22×C4×C13914yes—
539C23C25×C13911yescharacteristic
540Q8—28no—
541Q8—216no—
542Q8—28no—
543C2×C4—21no—
544C2×C4—24no—
545C2×C4—22no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—24no—
554C2×C4—22no—
555C2×C4—21no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—21no—
560C2×C4—22no—
561C2×C4—24no—
562C2×C4—22no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—22no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—24no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—21no—
578C2×C4—24no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4C23×C4×C13914yes—
582C2×C4C23×C4×C13914yes—
583C2×C4C23×C4×C13912yes—
584C2×C4C23×C4×C13914yes—
585C2×C4C23×C4×C13918yes—
586C2×C4C23×C4×C13914yes—
587C2×C4C23×C4×C13912yes—
588C2×C4C23×C4×C13912yes—
589C2×C4H(5,𝔽2)×C13912yes—
590C2×C42−1+4×C13912yes—
591C2×C42−1+4×C13912yes—
592C2×C42−1+4×C13912yes—
593C2×C42−1+4×C13912yes—
594C22C24×C4×C13911yescharacteristic
595C22C2×H(5,𝔽2)×C13911yescharacteristic
596C22C2×2−1+4×C13911yescharacteristic
597C22C2×2−1+4×C13911yescharacteristic
598C22C2×2−1+4×C13911yescharacteristic
599C22C2×2−1+4×C13911yescharacteristic
600C22#585×C13911yescharacteristic
601C4—22no—
602C4—24no—
603C4—28no—
604C4—24no—
605C4—22no—
606C4—24no—
607C4—24no—
608C4—42no—
609C4—42no—
610C4—42no—
611C4—41no—
612C4—44no—
613C4—41no—
614C4—42no—
615C4—41no—
616C4#519×C13914yes—
617C4#520×C13914yes—
618C2C2×#519×C13911yescharacteristic
619C2C2×#520×C13911yescharacteristic
620C2C4×2−1+4×C13911yescharacteristic
621C2#3552×C13911yescharacteristic
622C2#3554×C13911yescharacteristic
623C2#3555×C13911yescharacteristic
624C2#3556×C13911yescharacteristic
subgroupG/H
center, socle, prime radicalC23×C139C25
commutatorC22C24×C4×C139
Frattini, cosocleC23C25×C139
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
18. #557×C139C4semidirect
312. #34488C139direct (N × H)
313. C139#34488direct (N × H)
331. #557C4×C139semidirect

Maximal subgroups

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

subgroupindex
C2×#557×C1392
#2382×C1392
#2370×C1392
#2365×C1392
#2355×C1392
#2351×C1392
Q8×C4⋊C4×C1392
#2336×C1392
#2330×C1392
#2327×C1392
#2320×C1392
C4×C4⋊Q8×C1392
#2295×C1392
#34488139