Finite Group Databasebeta

← C139×#19758 #48014354

Subgroups — C139×#19758 #48014354

Order 35584.

736 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3334×C139C211yesmaximal, characteristic, complemented
2#3294×C139C211yesmaximal, characteristic, complemented
3#3283×C139C211yesmaximal, characteristic, complemented
4#3272×C139C211yesmaximal, characteristic, complemented
5#1722×C139C211yesmaximal, characteristic, complemented
6#1689×C139C211yesmaximal, characteristic, complemented
7#1681×C139C211yesmaximal, characteristic, complemented
8#1673×C139C211yesmaximal, characteristic, complemented
9#1665×C139C211yesmaximal, characteristic, complemented
10#1647×C139C211yesmaximal, characteristic, complemented
11#1647×C139C211yesmaximal, characteristic, complemented
12#1639×C139C211yesmaximal, characteristic, complemented
13#1625×C139C211yesmaximal, characteristic, complemented
14#1581×C139C211yesmaximal, characteristic, complemented
15#1580×C139C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C139—21no—
17C2×#135×C139—21no—
18#547×C139C2211yescharacteristic
19#547×C139C2211yescharacteristic
20#547×C139C2211yescharacteristic, complemented
21D42×C139C2211yescharacteristic
22#500×C139C2211yescharacteristic, complemented
23#500×C139C2211yescharacteristic, complemented
24#494×C139C2211yescharacteristic, complemented
25#492×C139C2211yescharacteristic
26#486×C139C2211yescharacteristic
27#486×C139C2211yescharacteristic
28#480×C139—21no—
29#480×C139—21no—
30#480×C139—21no—
31#474×C139C2211yescharacteristic
32#474×C139C2211yescharacteristic
33#474×C139C2211yescharacteristic, complemented
34#468×C139—21no—
35#467×C139—21no—
36#466×C139—21no—
37#466×C139—21no—
38#461×C139C2211yescharacteristic
39#461×C139C2211yescharacteristic
40#461×C139C2211yescharacteristic, complemented
41#459×C139C2211yescharacteristic
42#459×C139C2211yescharacteristic
43#452×C139—21no—
44#452×C139—21no—
45#450×C139—21no—
46#449×C139—21no—
47#447×C139—21no—
48C4×D8×C139C2211yescharacteristic
49C4×D8×C139C2211yescharacteristic
50#436×C139C2211yescharacteristic
51C8×D4×C139C2211yescharacteristic
52C8×D4×C139C2211yescharacteristic, complemented
53C8×D4×C139C2211yescharacteristic, complemented
54C2×#107×C139—21no—
55C2×#102×C139—21no—
56#335×C139C2211yescharacteristic, complemented
57#334×C139C2211yescharacteristic, complemented
58#332×C139C2211yescharacteristic, complemented
59#332×C139C2211yescharacteristic, complemented
60#332×C139C2211yescharacteristic, complemented
61#331×C139C2211yescharacteristic
62D4⋊C8×C139C2211yescharacteristic
63D4⋊C8×C139C2211yescharacteristic
64D4⋊C8×C139C2211yescharacteristic, complemented
65D4⋊C8×C139C2211yescharacteristic, complemented
66#322×C139C2211yescharacteristic, complemented
67C2×#41×C139—21no—
68C2×#41×C139—21no—
69C2×#41×C139—21no—
70C22×D4×C139—21no—
71C22×D4×C139—21no—
72AGL(1,ℤ/8)×C139—44no—
73#135×C139—44no—
74C2×Q16×C139—21no—
75C2×Q16×C139—21no—
76C2×SD16×C139—21no—
77C2×SD16×C139—21no—
78C2×SD16×C139—21no—
79C2×SD16×C139—21no—
80C2×SD16×C139—21no—
81C2×D8×C139—21no—
82C2×D8×C139—21no—
83C2×D8×C139D411yescharacteristic
84C2×D8×C139D411yescharacteristic
85C2×M16×C139—21no—
86C22×C8×C139—21no—
87C22×C8×C139—21no—
88C22×C8×C139—21no—
89C4⋊Q8×C139C2311yescharacteristic
90C4⋊Q8×C139C2311yescharacteristic
91C4⋊Q8×C139C2311yescharacteristic
92#127×C139C2311yescharacteristic
93#123×C139—41no—
94#123×C139—41no—
95#123×C139—41no—
96C22⋊Q8×C139—21no—
97C22⋊Q8×C139—21no—
98C22⋊Q8×C139—21no—
99#121×C139—21no—
100#121×C139—21no—
101#121×C139—21no—
102#121×C139—21no—
103#121×C139—21no—
104#120×C139—41no—
105C4×D4×C139C2311yescharacteristic
106C4×D4×C139C2311yescharacteristic
107C4×D4×C139C2311yescharacteristic
108C4×D4×C139C2311yescharacteristic
109C2×C4⋊C4×C139—21no—
110C2×C4⋊C4×C139—21no—
111C2×C4⋊C4×C139—21no—
112#107×C139—21no—
113#107×C139—21no—
114#107×C139—21no—
115#107×C139—21no—
116#107×C139—21no—
117#107×C139—41no—
118#107×C139D411yescharacteristic
119#107×C139D411yescharacteristic
120C4⋊C8×C139C2311yescharacteristic
121C4⋊C8×C139C2311yescharacteristic
122C4⋊C8×C139C2311yescharacteristic
123C4⋊C8×C139C2311yescharacteristic
124#103×C139—21no—
125#103×C139—21no—
126#103×C139—21no—
127#102×C139—21no—
128#102×C139—21no—
129#102×C139—21no—
130#102×C139—21no—
131#102×C139—21no—
132#102×C139—21no—
133#102×C139—21no—
134#102×C139—41no—
135#102×C139D411yescharacteristic
136#102×C139D411yescharacteristic
137#102×C139D411yescharacteristic
138#102×C139D411yescharacteristic
139C22⋊C8×C139—21no—
140C22⋊C8×C139—21no—
141C22⋊C8×C139—21no—
142C22⋊C8×C139—21no—
143C4×C8×C139C2311yescharacteristic
144C4×C8×C139C2311yescharacteristic
145C4×C8×C139C2311yescharacteristic
146C24×C139—41no—
147#41×C139—42no—
148#41×C139—42no—
149#41×C139—42no—
150#41×C139—81no—
151#41×C139—81no—
152#41×C139—81no—
153C2×Q8×C139—21no—
154C2×Q8×C139—21no—
155C2×Q8×C139—21no—
156C2×D4×C139—21no—
157C2×D4×C139—21no—
158C2×D4×C139—21no—
159C2×D4×C139—41no—
160C2×D4×C139—41no—
161C2×D4×C139—42no—
162C2×D4×C139—42no—
163C2×D4×C139—41no—
164C2×D4×C139—41no—
165C2×D4×C139—41no—
166C2×D4×C139—81no—
167C2×D4×C139—81no—
168C2×D4×C139C2×D411yescharacteristic
169C2×D4×C139C2×D411yescharacteristic
170C2×D4×C139C2×D411yescharacteristic
171C2×D4×C139C2×D411yescharacteristic
172C22×C4×C139—21no—
173C22×C4×C139—21no—
174C22×C4×C139—21no—
175C22×C4×C139—21no—
176C22×C4×C139—41no—
177C22×C4×C139—41no—
178C22×C4×C139—41no—
179Q16×C139—42no—
180Q16×C139—81no—
181SD16×C139—42no—
182SD16×C139—42no—
183SD16×C139—42no—
184SD16×C139—42no—
185SD16×C139—81no—
186D8×C139—41no—
187D8×C139—42no—
188D8×C139—81no—
189D8×C139D814yescomplemented
190M16×C139—42no—
191C2×C8×C139—21no—
192C2×C8×C139—21no—
193C2×C8×C139—21no—
194C2×C8×C139—21no—
195C2×C8×C139—21no—
196C2×C8×C139—42no—
197C2×C8×C139—42no—
198C2×C8×C139—81no—
199C2×C8×C139C2×D411yescharacteristic
200C2×C8×C139C2×D411yescharacteristic
201C2×C8×C139C2×D411yescharacteristic
202C2×C8×C139C2×D411yescharacteristic
203C4⋊C4×C139—21no—
204C4⋊C4×C139—21no—
205C4⋊C4×C139—21no—
206C4⋊C4×C139—21no—
207C4⋊C4×C139—21no—
208C4⋊C4×C139—21no—
209C4⋊C4×C139—41no—
210C4⋊C4×C139—41no—
211C4⋊C4×C139—41no—
212C4⋊C4×C139C2×D411yescharacteristic
213C4⋊C4×C139C2×D411yescharacteristic
214C4⋊C4×C139C2×D411yescharacteristic
215C4⋊C4×C139C2×D411yescharacteristic
216C22⋊C4×C139—21no—
217C22⋊C4×C139—21no—
218C22⋊C4×C139—21no—
219C22⋊C4×C139—21no—
220C22⋊C4×C139—41no—
221C22⋊C4×C139—41no—
222C22⋊C4×C139—41no—
223C22⋊C4×C139—41no—
224C42×C139C2411yescharacteristic
225C23×C139—21no—
226C23×C139—21no—
227C23×C139—21no—
228C23×C139—21no—
229C23×C139—41no—
230C23×C139—82no—
231C23×C139—82no—
232C23×C139—161no—
233Q8×C139—41no—
234Q8×C139—41no—
235Q8×C139—41no—
236Q8×C139—41no—
237Q8×C139—41no—
238Q8×C139—41no—
239D4×C139—21no—
240D4×C139—21no—
241D4×C139—21no—
242D4×C139—21no—
243D4×C139—21no—
244D4×C139—21no—
245D4×C139—41no—
246D4×C139—41no—
247D4×C139—41no—
248D4×C139—41no—
249D4×C139—81no—
250D4×C139—82no—
251D4×C139—82no—
252D4×C139—82no—
253D4×C139—82no—
254D4×C139—82no—
255D4×C139C2×D812yes—
256D4×C139C2×D812yes—
257C2×C4×C139—21no—
258C2×C4×C139—21no—
259C2×C4×C139—21no—
260C2×C4×C139—21no—
261C2×C4×C139—41no—
262C2×C4×C139—41no—
263C2×C4×C139—41no—
264C2×C4×C139—41no—
265C2×C4×C139—41no—
266C2×C4×C139—41no—
267C2×C4×C139—41no—
268C2×C4×C139—41no—
269C2×C4×C139—41no—
270C2×C4×C139—41no—
271C2×C4×C139—41no—
272C2×C4×C139—82no—
273C2×C4×C139—82no—
274C2×C4×C139—82no—
275C2×C4×C139C22×D411yescharacteristic
276C2×C4×C139C22×D411yescharacteristic
277C2×C4×C139H(5,𝔽2)11yescharacteristic
278C8×C139—21no—
279C8×C139—21no—
280C8×C139—21no—
281C8×C139—41no—
282C8×C139—41no—
283C8×C139—41no—
284C8×C139—41no—
285C8×C139—41no—
286C8×C139C2×D812yes—
287C22×C139—22no—
288C22×C139—22no—
289C22×C139—41no—
290C22×C139—41no—
291C22×C139—41no—
292C22×C139—41no—
293C22×C139—41no—
294C22×C139—41no—
295C22×C139—41no—
296C22×C139—41no—
297C22×C139—41no—
298C22×C139—41no—
299C22×C139—81no—
300C22×C139—81no—
301C22×C139—81no—
302C22×C139—164no—
303C22×C139D4211yescharacteristic
304C4×C139—21no—
305C4×C139—41no—
306C4×C139—41no—
307C4×C139—41no—
308C4×C139—41no—
309C4×C139—81no—
310C4×C139—81no—
311C4×C139—81no—
312C4×C139C22×D811yescharacteristic
313C4×C139#57511yescharacteristic
314C4×C139#57611yescharacteristic
315C4×C139#57711yescharacteristic
316C2×C139—42no—
317C2×C139—42no—
318C2×C139—81no—
319C2×C139—81no—
320C2×C139—161no—
321C2×C139#326711yescharacteristic
322C2×C139D4×D811yescharacteristic
323C2×C139#328911yescharacteristic
324#19758C13911yesmaximal, characteristic, direct product factor, Sylow
325C139#1975811yescharacteristic, direct product factor, Sylow
326#3334C2×C13911yescharacteristic, complemented
327#3294C2×C13911yescharacteristic, complemented
328#3283C2×C13911yescharacteristic, complemented
329#3272C2×C13911yescharacteristic, complemented
330#1722C2×C13911yescharacteristic, complemented
331#1689C2×C13911yescharacteristic, complemented
332#1681C2×C13911yescharacteristic, complemented
333#1673C2×C13911yescharacteristic, complemented
334#1665C2×C13911yescharacteristic, complemented
335#1647C2×C13911yescharacteristic, complemented
336#1647C2×C13911yescharacteristic, complemented
337#1639C2×C13911yescharacteristic, complemented
338#1625C2×C13911yescharacteristic, complemented
339#1581C2×C13911yescharacteristic, complemented
340#1580C2×C13911yescharacteristic, complemented
341C2×AGL(1,ℤ/8)—21no—
342C2×#135—21no—
343#547C22×C13911yescharacteristic
344#547C22×C13911yescharacteristic
345#547C22×C13911yescharacteristic, complemented
346D42C22×C13911yescharacteristic
347#500C22×C13911yescharacteristic, complemented
348#500C22×C13911yescharacteristic, complemented
349#494C22×C13911yescharacteristic, complemented
350#492C22×C13911yescharacteristic
351#486C22×C13911yescharacteristic
352#486C22×C13911yescharacteristic
353#480—21no—
354#480—21no—
355#480—21no—
356#474C22×C13911yescharacteristic
357#474C22×C13911yescharacteristic
358#474C22×C13911yescharacteristic, complemented
359#468—21no—
360#467—21no—
361#466—21no—
362#466—21no—
363#461C22×C13911yescharacteristic
364#461C22×C13911yescharacteristic
365#461C22×C13911yescharacteristic, complemented
366#459C22×C13911yescharacteristic
367#459C22×C13911yescharacteristic
368#452—21no—
369#452—21no—
370#450—21no—
371#449—21no—
372#447—21no—
373C4×D8C22×C13911yescharacteristic
374C4×D8C22×C13911yescharacteristic
375#436C22×C13911yescharacteristic
376C8×D4C22×C13911yescharacteristic
377C8×D4C22×C13911yescharacteristic, complemented
378C8×D4C22×C13911yescharacteristic, complemented
379C2×#107—21no—
380C2×#102—21no—
381#335C22×C13911yescharacteristic, complemented
382#334C22×C13911yescharacteristic, complemented
383#332C22×C13911yescharacteristic, complemented
384#332C22×C13911yescharacteristic, complemented
385#332C22×C13911yescharacteristic, complemented
386#331C22×C13911yescharacteristic
387D4⋊C8C22×C13911yescharacteristic
388D4⋊C8C22×C13911yescharacteristic
389D4⋊C8C22×C13911yescharacteristic, complemented
390D4⋊C8C22×C13911yescharacteristic, complemented
391#322C22×C13911yescharacteristic, complemented
392C2×#41—21no—
393C2×#41—21no—
394C2×#41—21no—
395C22×D4—21no—
396C22×D4—21no—
397AGL(1,ℤ/8)—44no—
398#135—44no—
399C2×Q16—21no—
400C2×Q16—21no—
401C2×SD16—21no—
402C2×SD16—21no—
403C2×SD16—21no—
404C2×SD16—21no—
405C2×SD16—21no—
406C2×D8—21no—
407C2×D8—21no—
408C2×D8D4×C13911yescharacteristic
409C2×D8D4×C13911yescharacteristic
410C2×M16—21no—
411C22×C8—21no—
412C22×C8—21no—
413C22×C8—21no—
414C4⋊Q8C23×C13911yescharacteristic
415C4⋊Q8C23×C13911yescharacteristic
416C4⋊Q8C23×C13911yescharacteristic
417#127C23×C13911yescharacteristic
418#123—41no—
419#123—41no—
420#123—41no—
421C22⋊Q8—21no—
422C22⋊Q8—21no—
423C22⋊Q8—21no—
424#121—21no—
425#121—21no—
426#121—21no—
427#121—21no—
428#121—21no—
429#120—41no—
430C4×D4C23×C13911yescharacteristic
431C4×D4C23×C13911yescharacteristic
432C4×D4C23×C13911yescharacteristic
433C4×D4C23×C13911yescharacteristic
434C2×C4⋊C4—21no—
435C2×C4⋊C4—21no—
436C2×C4⋊C4—21no—
437#107—21no—
438#107—21no—
439#107—21no—
440#107—21no—
441#107—21no—
442#107—41no—
443#107D4×C13911yescharacteristic
444#107D4×C13911yescharacteristic
445C4⋊C8C23×C13911yescharacteristic
446C4⋊C8C23×C13911yescharacteristic
447C4⋊C8C23×C13911yescharacteristic
448C4⋊C8C23×C13911yescharacteristic
449#103—21no—
450#103—21no—
451#103—21no—
452#102—21no—
453#102—21no—
454#102—21no—
455#102—21no—
456#102—21no—
457#102—21no—
458#102—21no—
459#102—41no—
460#102D4×C13911yescharacteristic
461#102D4×C13911yescharacteristic
462#102D4×C13911yescharacteristic
463#102D4×C13911yescharacteristic
464C22⋊C8—21no—
465C22⋊C8—21no—
466C22⋊C8—21no—
467C22⋊C8—21no—
468C4×C8C23×C13911yescharacteristic
469C4×C8C23×C13911yescharacteristic
470C4×C8C23×C13911yescharacteristic
471C24—41no—
472#41—42no—
473#41—42no—
474#41—42no—
475#41—81no—
476#41—81no—
477#41—81no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—41no—
485C2×D4—41no—
486C2×D4—42no—
487C2×D4—42no—
488C2×D4—41no—
489C2×D4—41no—
490C2×D4—41no—
491C2×D4—81no—
492C2×D4—81no—
493C2×D4C2×D4×C13911yescharacteristic
494C2×D4C2×D4×C13911yescharacteristic
495C2×D4C2×D4×C13911yescharacteristic
496C2×D4C2×D4×C13911yescharacteristic
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504Q16—42no—
505Q16—81no—
506SD16—42no—
507SD16—42no—
508SD16—42no—
509SD16—42no—
510SD16—81no—
511D8—41no—
512D8—42no—
513D8—81no—
514D8D8×C13914yescomplemented
515M16—42no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—42no—
522C2×C8—42no—
523C2×C8—81no—
524C2×C8C2×D4×C13911yescharacteristic
525C2×C8C2×D4×C13911yescharacteristic
526C2×C8C2×D4×C13911yescharacteristic
527C2×C8C2×D4×C13911yescharacteristic
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—41no—
535C4⋊C4—41no—
536C4⋊C4—41no—
537C4⋊C4C2×D4×C13911yescharacteristic
538C4⋊C4C2×D4×C13911yescharacteristic
539C4⋊C4C2×D4×C13911yescharacteristic
540C4⋊C4C2×D4×C13911yescharacteristic
541C22⋊C4—21no—
542C22⋊C4—21no—
543C22⋊C4—21no—
544C22⋊C4—21no—
545C22⋊C4—41no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—41no—
549C42C24×C13911yescharacteristic
550C23—21no—
551C23—21no—
552C23—21no—
553C23—21no—
554C23—41no—
555C23—82no—
556C23—82no—
557C23—161no—
558Q8—41no—
559Q8—41no—
560Q8—41no—
561Q8—41no—
562Q8—41no—
563Q8—41no—
564D4—21no—
565D4—21no—
566D4—21no—
567D4—21no—
568D4—21no—
569D4—21no—
570D4—41no—
571D4—41no—
572D4—41no—
573D4—41no—
574D4—81no—
575D4—82no—
576D4—82no—
577D4—82no—
578D4—82no—
579D4—82no—
580D4C2×D8×C13912yes—
581D4C2×D8×C13912yes—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—82no—
598C2×C4—82no—
599C2×C4—82no—
600C2×C4C22×D4×C13911yescharacteristic
601C2×C4C22×D4×C13911yescharacteristic
602C2×C4H(5,𝔽2)×C13911yescharacteristic
603C8—21no—
604C8—21no—
605C8—21no—
606C8—41no—
607C8—41no—
608C8—41no—
609C8—41no—
610C8—41no—
611C8C2×D8×C13912yes—
612C22—22no—
613C22—22no—
614C22—41no—
615C22—41no—
616C22—41no—
617C22—41no—
618C22—41no—
619C22—41no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—164no—
628C22D42×C13911yescharacteristic
629C4—21no—
630C4—41no—
631C4—41no—
632C4—41no—
633C4—41no—
634C4—81no—
635C4—81no—
636C4—81no—
637C4C22×D8×C13911yescharacteristic
638C4#575×C13911yescharacteristic
639C4#576×C13911yescharacteristic
640C4#577×C13911yescharacteristic
641C2—42no—
642C2—42no—
643C2—81no—
644C2—81no—
645C2—161no—
646C2#3267×C13911yescharacteristic
647C2D4×D8×C13911yescharacteristic
648C2#3289×C13911yescharacteristic
subgroupG/H
center, socleC22×C139D42
commutator, Frattini, cosocleC42C24×C139
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C139 ◁ C42×C139 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3334×C139C2semidirect
2. #3294×C139C2semidirect
3. #3283×C139C2semidirect
4. #3272×C139C2semidirect
5. #1722×C139C2semidirect
6. #1689×C139C2semidirect
7. #1681×C139C2semidirect
8. #1673×C139C2semidirect
9. #1665×C139C2semidirect
10. #1647×C139C2semidirect
11. #1647×C139C2semidirect
12. #1639×C139C2semidirect
13. #1625×C139C2semidirect
14. #1581×C139C2semidirect
15. #1580×C139C2semidirect
20. #547×C139C22semidirect
22. #500×C139C22semidirect
23. #500×C139C22semidirect
24. #494×C139C22semidirect
33. #474×C139C22semidirect
40. #461×C139C22semidirect
52. C8×D4×C139C22semidirect
53. C8×D4×C139C22semidirect
56. #335×C139C22semidirect
57. #334×C139C22semidirect
58. #332×C139C22semidirect
59. #332×C139C22semidirect
60. #332×C139C22semidirect
64. D4⋊C8×C139C22semidirect
65. D4⋊C8×C139C22semidirect
66. #322×C139C22semidirect
189. D8×C139D8semidirect
324. #19758C139direct (N × H)
325. C139#19758direct (N × H)
326. #3334C2×C139semidirect
327. #3294C2×C139semidirect
328. #3283C2×C139semidirect
329. #3272C2×C139semidirect
330. #1722C2×C139semidirect
331. #1689C2×C139semidirect
332. #1681C2×C139semidirect
333. #1673C2×C139semidirect
334. #1665C2×C139semidirect
335. #1647C2×C139semidirect
336. #1647C2×C139semidirect
337. #1639C2×C139semidirect
338. #1625C2×C139semidirect
339. #1581C2×C139semidirect
340. #1580C2×C139semidirect
345. #547C22×C139semidirect
347. #500C22×C139semidirect
348. #500C22×C139semidirect
349. #494C22×C139semidirect
358. #474C22×C139semidirect
365. #461C22×C139semidirect
377. C8×D4C22×C139semidirect
378. C8×D4C22×C139semidirect
381. #335C22×C139semidirect
382. #334C22×C139semidirect
383. #332C22×C139semidirect
384. #332C22×C139semidirect
385. #332C22×C139semidirect
389. D4⋊C8C22×C139semidirect
390. D4⋊C8C22×C139semidirect
391. #322C22×C139semidirect
514. D8D8×C139semidirect

Maximal subgroups

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

subgroupindex
#3334×C1392
#3294×C1392
#3283×C1392
#3272×C1392
#1722×C1392
#1689×C1392
#1681×C1392
#1673×C1392
#1665×C1392
#1647×C1392
#1639×C1392
#1625×C1392
#1581×C1392
#1580×C1392
#19758139