Finite Group Databasebeta

← C137×#18834 #46868220

Subgroups — C137×#18834 #46868220

Order 35072.

1036 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3514×C137C211yesmaximal, characteristic, complemented
2#3217×C137C211yesmaximal, characteristic, complemented
3#3205×C137C211yesmaximal, characteristic, complemented
4#3038×C137C211yesmaximal, characteristic, complemented
5#1628×C137C212yesmaximal, complemented
6#1627×C137C212yesmaximal, complemented
7#1620×C137C212yesmaximal, complemented
8#1619×C137C212yesmaximal, complemented
9#1557×C137C211yesmaximal, characteristic, complemented
10#1495×C137C211yesmaximal, characteristic, complemented
11#1488×C137C211yesmaximal, characteristic, complemented
12C2×AGL(1,ℤ/8)×C137—21no—
13#559×C137C2211yescharacteristic, complemented
14#556×C137C2211yescharacteristic, complemented
15#555×C137—21no—
16#551×C137—22no—
17D4×Q8×C137C2211yescharacteristic, complemented
18#548×C137—21no—
19#546×C137—21no—
20#546×C137—21no—
21D42×C137C2211yescharacteristic, complemented
22#542×C137—21no—
23#538×C137—22no—
24#532×C137C2211yescharacteristic
25C2×#127×C137C2211yescharacteristic, complemented
26#529×C137—21no—
27#529×C137C2211yescharacteristic
28C2×#124×C137—21no—
29#518×C137—21no—
30C4×#41×C137C2211yescharacteristic
31#496×C137—21no—
32#493×C137C2212yes—
33#490×C137—21no—
34#486×C137C2212yescomplemented
35#460×C137—21no—
36#460×C137C2212yescomplemented
37#460×C137C2212yescomplemented
38#459×C137—21no—
39#459×C137—22no—
40#459×C137C2212yes—
41#459×C137C2212yes—
42#450×C137—21no—
43#447×C137—22no—
44#447×C137—21no—
45#432×C137C2211yescharacteristic, complemented
46#431×C137C2211yescharacteristic, complemented
47#423×C137C2211yescharacteristic, complemented
48#418×C137—21no—
49#332×C137C2212yescomplemented
50#331×C137C2212yescomplemented
51Q8⋊C8×C137C2212yescomplemented
52Q8⋊C8×C137C2212yescomplemented
53D4⋊C8×C137C2212yescomplemented
54D4⋊C8×C137C2212yescomplemented
55C2×#41×C137—21no—
56C2×#41×C137D411yescharacteristic
57C22×Q8×C137—21no—
58C22×D4×C137—21no—
59C22×D4×C137—21no—
60C22×D4×C137—21no—
61C22×D4×C137—21no—
62C22×D4×C137—21no—
63AGL(1,ℤ/8)×C137—44no—
64C2×SD16×C137—22no—
65C2×SD16×C137—22no—
66C2×D8×C137—22no—
67C2×D8×C137—24no—
68C2×D8×C137—22no—
69C2×M16×C137—21no—
70C4⋊Q8×C137—21no—
71C4⋊Q8×C137C2311yescharacteristic
72#127×C137—21no—
73#127×C137—21no—
74#127×C137—21no—
75#127×C137C2312yes—
76#127×C137C2311yescharacteristic
77#126×C137—22no—
78#126×C137—22no—
79#126×C137—21no—
80#125×C137D411yescharacteristic
81#124×C137—22no—
82#124×C137—22no—
83#124×C137—22no—
84#124×C137—21no—
85#124×C137—21no—
86#124×C137—21no—
87#124×C137—21no—
88#124×C137D411yescharacteristic
89#123×C137—22no—
90#123×C137—22no—
91#123×C137—22no—
92#123×C137—21no—
93C22⋊Q8×C137—22no—
94C22⋊Q8×C137—21no—
95C22⋊Q8×C137—21no—
96C22⋊Q8×C137—22no—
97C22⋊Q8×C137D411yescharacteristic
98#121×C137—22no—
99#121×C137—22no—
100#121×C137—21no—
101#121×C137—21no—
102#121×C137—21no—
103#121×C137D411yescharacteristic
104#121×C137D412yes—
105#120×C137—22no—
106#120×C137—22no—
107C4×Q8×C137—21no—
108C4×Q8×C137D411yescharacteristic
109C4×Q8×C137C2311yescharacteristic
110C4×Q8×C137C2311yescharacteristic
111C4×D4×C137—22no—
112C4×D4×C137—22no—
113C4×D4×C137—21no—
114C4×D4×C137—21no—
115C4×D4×C137—21no—
116C4×D4×C137—21no—
117C4×D4×C137—21no—
118C4×D4×C137—21no—
119C4×D4×C137—21no—
120C4×D4×C137D411yescharacteristic
121C4×D4×C137D412yes—
122C4×D4×C137C2311yescharacteristic
123C4×D4×C137C2311yescharacteristic
124#117×C137—22no—
125#117×C137—21no—
126#117×C137—21no—
127#117×C137—21no—
128#117×C137D411yescharacteristic
129C2×C22⋊C4×C137—22no—
130C2×C22⋊C4×C137—22no—
131C2×C22⋊C4×C137—22no—
132C2×C42×C137—21no—
133C2×C42×C137C2311yescharacteristic
134C4⋊C8×C137—21no—
135C4⋊C8×C137—21no—
136C4⋊C8×C137C2312yes—
137C4⋊C8×C137C2312yes—
138#102×C137—22no—
139#102×C137—22no—
140#102×C137—24no—
141#102×C137—22no—
142#102×C137—22no—
143C22⋊C8×C137—21no—
144C22⋊C8×C137—21no—
145#97×C137—21no—
146C4×C8×C137C2312yes—
147C24×C137—22no—
148C24×C137—41no—
149#41×C137—22no—
150#41×C137—41no—
151#41×C137—82no—
152C2×Q8×C137—22no—
153C2×Q8×C137—21no—
154C2×Q8×C137—82no—
155C2×Q8×C137C2×D411yescharacteristic
156C2×Q8×C137C2×D411yescharacteristic
157C2×D4×C137—22no—
158C2×D4×C137—21no—
159C2×D4×C137—22no—
160C2×D4×C137—21no—
161C2×D4×C137—22no—
162C2×D4×C137—21no—
163C2×D4×C137—21no—
164C2×D4×C137—22no—
165C2×D4×C137—22no—
166C2×D4×C137—22no—
167C2×D4×C137—42no—
168C2×D4×C137—42no—
169C2×D4×C137—42no—
170C2×D4×C137—42no—
171C2×D4×C137—41no—
172C2×D4×C137—41no—
173C2×D4×C137—41no—
174C2×D4×C137—82no—
175C2×D4×C137—82no—
176C2×D4×C137—82no—
177C2×D4×C137C2×D411yescharacteristic
178C2×D4×C137C2×D411yescharacteristic
179C2×D4×C137C2×D412yes—
180C22×C4×C137—22no—
181C22×C4×C137—22no—
182C22×C4×C137—21no—
183C22×C4×C137—21no—
184C22×C4×C137—21no—
185C22×C4×C137—21no—
186C22×C4×C137—22no—
187C22×C4×C137C2×D411yescharacteristic
188C22×C4×C137C2×D411yescharacteristic
189C22×C4×C137C2×D411yescharacteristic
190SD16×C137—44no—
191SD16×C137—82no—
192D8×C137—44no—
193D8×C137—82no—
194D8×C137—84no—
195M16×C137—42no—
196C2×C8×C137—22no—
197C2×C8×C137—22no—
198C2×C8×C137—22no—
199C4⋊C4×C137—22no—
200C4⋊C4×C137—22no—
201C4⋊C4×C137—21no—
202C4⋊C4×C137—21no—
203C4⋊C4×C137—21no—
204C4⋊C4×C137—21no—
205C4⋊C4×C137—21no—
206C4⋊C4×C137—21no—
207C4⋊C4×C137—21no—
208C4⋊C4×C137C2×D411yescharacteristic
209C4⋊C4×C137C2×D411yescharacteristic
210C4⋊C4×C137C2×D411yescharacteristic
211C4⋊C4×C137C2×D412yes—
212C4⋊C4×C137C2×D411yescharacteristic
213C22⋊C4×C137—22no—
214C22⋊C4×C137—22no—
215C22⋊C4×C137—22no—
216C22⋊C4×C137—22no—
217C22⋊C4×C137—22no—
218C22⋊C4×C137—22no—
219C22⋊C4×C137—22no—
220C22⋊C4×C137—21no—
221C22⋊C4×C137—21no—
222C22⋊C4×C137—21no—
223C22⋊C4×C137—21no—
224C22⋊C4×C137—21no—
225C22⋊C4×C137—21no—
226C22⋊C4×C137—22no—
227C22⋊C4×C137—22no—
228C22⋊C4×C137—21no—
229C22⋊C4×C137—21no—
230C42×C137—22no—
231C42×C137—21no—
232C42×C137—21no—
233C42×C137—21no—
234C42×C137—21no—
235C42×C137C2×D411yescharacteristic
236C42×C137C2×D411yescharacteristic
237C42×C137C2×D411yescharacteristic
238C42×C137C2411yescharacteristic
239C23×C137—21no—
240C23×C137—21no—
241C23×C137—22no—
242C23×C137—44no—
243C23×C137—42no—
244C23×C137—82no—
245C23×C137—82no—
246C23×C137—82no—
247C23×C137—82no—
248C23×C137—82no—
249C23×C137#12011yescharacteristic
250Q8×C137—21no—
251Q8×C137—21no—
252Q8×C137—22no—
253Q8×C137—42no—
254Q8×C137—82no—
255D4×C137—21no—
256D4×C137—22no—
257D4×C137—42no—
258D4×C137—44no—
259D4×C137—42no—
260D4×C137—44no—
261D4×C137—41no—
262D4×C137—42no—
263D4×C137—41no—
264D4×C137—42no—
265D4×C137—42no—
266D4×C137—42no—
267D4×C137—42no—
268D4×C137—82no—
269D4×C137—82no—
270D4×C137—82no—
271D4×C137—81no—
272D4×C137—82no—
273D4×C137—82no—
274D4×C137AGL(1,ℤ/8)12yes—
275C2×C4×C137—21no—
276C2×C4×C137—21no—
277C2×C4×C137—22no—
278C2×C4×C137—21no—
279C2×C4×C137—21no—
280C2×C4×C137—21no—
281C2×C4×C137—21no—
282C2×C4×C137—21no—
283C2×C4×C137—21no—
284C2×C4×C137—22no—
285C2×C4×C137—41no—
286C2×C4×C137—42no—
287C2×C4×C137—41no—
288C2×C4×C137—41no—
289C2×C4×C137—42no—
290C2×C4×C137—81no—
291C2×C4×C137—82no—
292C2×C4×C137—82no—
293C2×C4×C137—82no—
294C2×C4×C137#12011yescharacteristic
295C2×C4×C137#12011yescharacteristic
296C2×C4×C137#12011yescharacteristic
297C2×C4×C137C22×D411yescharacteristic
298C2×C4×C137C22×D411yescharacteristic
299C2×C4×C137C22×D411yescharacteristic
300C8×C137—42no—
301C8×C137—42no—
302C8×C137—42no—
303C22×C137—21no—
304C22×C137—22no—
305C22×C137—21no—
306C22×C137—21no—
307C22×C137—41no—
308C22×C137—41no—
309C22×C137—41no—
310C22×C137—42no—
311C22×C137—42no—
312C22×C137—41no—
313C22×C137—42no—
314C22×C137—41no—
315C22×C137—82no—
316C22×C137—82no—
317C22×C137—82no—
318C22×C137—164no—
319C22×C137—164no—
320C22×C137C2×#12011yescharacteristic
321C4×C137—21no—
322C4×C137—21no—
323C4×C137—21no—
324C4×C137—21no—
325C4×C137—41no—
326C4×C137—41no—
327C4×C137—41no—
328C4×C137—42no—
329C4×C137—41no—
330C4×C137—41no—
331C4×C137—41no—
332C4×C137C2×AGL(1,ℤ/8)11yescharacteristic
333C4×C137#57511yescharacteristic
334C4×C137#57612yes—
335C2×C137—41no—
336C2×C137—42no—
337C2×C137—82no—
338C2×C137—81no—
339C2×C137—162no—
340C2×C137#300611yescharacteristic
341C2×C137#300811yescharacteristic
342C2×C137#302111yescharacteristic
343#18834C13711yesmaximal, characteristic, direct product factor, Sylow
344C137#1883411yescharacteristic, direct product factor, Sylow
345#3514C2×C13711yescharacteristic, complemented
346#3217C2×C13711yescharacteristic, complemented
347#3205C2×C13711yescharacteristic, complemented
348#3038C2×C13711yescharacteristic, complemented
349#1628C2×C13712yescomplemented
350#1627C2×C13712yescomplemented
351#1620C2×C13712yescomplemented
352#1619C2×C13712yescomplemented
353#1557C2×C13711yescharacteristic, complemented
354#1495C2×C13711yescharacteristic, complemented
355#1488C2×C13711yescharacteristic, complemented
356C2×AGL(1,ℤ/8)—21no—
357#559C22×C13711yescharacteristic, complemented
358#556C22×C13711yescharacteristic, complemented
359#555—21no—
360#551—22no—
361D4×Q8C22×C13711yescharacteristic, complemented
362#548—21no—
363#546—21no—
364#546—21no—
365D42C22×C13711yescharacteristic, complemented
366#542—21no—
367#538—22no—
368#532C22×C13711yescharacteristic
369C2×#127C22×C13711yescharacteristic, complemented
370#529—21no—
371#529C22×C13711yescharacteristic
372C2×#124—21no—
373#518—21no—
374C4×#41C22×C13711yescharacteristic
375#496—21no—
376#493C22×C13712yes—
377#490—21no—
378#486C22×C13712yescomplemented
379#460—21no—
380#460C22×C13712yescomplemented
381#460C22×C13712yescomplemented
382#459—22no—
383#459—21no—
384#459C22×C13712yes—
385#459C22×C13712yes—
386#450—21no—
387#447—22no—
388#447—21no—
389#432C22×C13711yescharacteristic, complemented
390#431C22×C13711yescharacteristic, complemented
391#423C22×C13711yescharacteristic, complemented
392#418—21no—
393#332C22×C13712yescomplemented
394#331C22×C13712yescomplemented
395Q8⋊C8C22×C13712yescomplemented
396Q8⋊C8C22×C13712yescomplemented
397D4⋊C8C22×C13712yescomplemented
398D4⋊C8C22×C13712yescomplemented
399C2×#41—21no—
400C2×#41D4×C13711yescharacteristic
401C22×Q8—21no—
402C22×D4—21no—
403C22×D4—21no—
404C22×D4—21no—
405C22×D4—21no—
406C22×D4—21no—
407AGL(1,ℤ/8)—44no—
408C2×SD16—22no—
409C2×SD16—22no—
410C2×D8—22no—
411C2×D8—24no—
412C2×D8—22no—
413C2×M16—21no—
414C4⋊Q8—21no—
415C4⋊Q8C23×C13711yescharacteristic
416#127—21no—
417#127—21no—
418#127—21no—
419#127C23×C13712yes—
420#127C23×C13711yescharacteristic
421#126—22no—
422#126—22no—
423#126—21no—
424#125D4×C13711yescharacteristic
425#124—22no—
426#124—22no—
427#124—22no—
428#124—21no—
429#124—21no—
430#124—21no—
431#124—21no—
432#124D4×C13711yescharacteristic
433#123—22no—
434#123—22no—
435#123—22no—
436#123—21no—
437C22⋊Q8—22no—
438C22⋊Q8—21no—
439C22⋊Q8—21no—
440C22⋊Q8—22no—
441C22⋊Q8D4×C13711yescharacteristic
442#121—22no—
443#121—22no—
444#121—21no—
445#121—21no—
446#121—21no—
447#121D4×C13711yescharacteristic
448#121D4×C13712yes—
449#120—22no—
450#120—22no—
451C4×Q8—21no—
452C4×Q8D4×C13711yescharacteristic
453C4×Q8C23×C13711yescharacteristic
454C4×Q8C23×C13711yescharacteristic
455C4×D4—22no—
456C4×D4—22no—
457C4×D4—21no—
458C4×D4—21no—
459C4×D4—21no—
460C4×D4—21no—
461C4×D4—21no—
462C4×D4—21no—
463C4×D4—21no—
464C4×D4D4×C13711yescharacteristic
465C4×D4D4×C13712yes—
466C4×D4C23×C13711yescharacteristic
467C4×D4C23×C13711yescharacteristic
468#117—22no—
469#117—21no—
470#117—21no—
471#117—21no—
472#117D4×C13711yescharacteristic
473C2×C22⋊C4—22no—
474C2×C22⋊C4—22no—
475C2×C22⋊C4—22no—
476C2×C42—21no—
477C2×C42C23×C13711yescharacteristic
478C4⋊C8—21no—
479C4⋊C8—21no—
480C4⋊C8C23×C13712yes—
481C4⋊C8C23×C13712yes—
482#102—22no—
483#102—22no—
484#102—24no—
485#102—22no—
486#102—22no—
487C22⋊C8—21no—
488C22⋊C8—21no—
489#97—21no—
490C4×C8C23×C13712yes—
491C24—22no—
492C24—41no—
493#41—22no—
494#41—41no—
495#41—82no—
496C2×Q8—22no—
497C2×Q8—21no—
498C2×Q8—82no—
499C2×Q8C2×D4×C13711yescharacteristic
500C2×Q8C2×D4×C13711yescharacteristic
501C2×D4—22no—
502C2×D4—21no—
503C2×D4—22no—
504C2×D4—21no—
505C2×D4—22no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—22no—
509C2×D4—22no—
510C2×D4—22no—
511C2×D4—42no—
512C2×D4—42no—
513C2×D4—42no—
514C2×D4—42no—
515C2×D4—41no—
516C2×D4—41no—
517C2×D4—41no—
518C2×D4—82no—
519C2×D4—82no—
520C2×D4—82no—
521C2×D4C2×D4×C13711yescharacteristic
522C2×D4C2×D4×C13711yescharacteristic
523C2×D4C2×D4×C13712yes—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—22no—
531C22×C4C2×D4×C13711yescharacteristic
532C22×C4C2×D4×C13711yescharacteristic
533C22×C4C2×D4×C13711yescharacteristic
534SD16—44no—
535SD16—82no—
536D8—44no—
537D8—82no—
538D8—84no—
539M16—42no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—22no—
543C4⋊C4—22no—
544C4⋊C4—22no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4C2×D4×C13711yescharacteristic
553C4⋊C4C2×D4×C13711yescharacteristic
554C4⋊C4C2×D4×C13711yescharacteristic
555C4⋊C4C2×D4×C13712yes—
556C4⋊C4C2×D4×C13711yescharacteristic
557C22⋊C4—22no—
558C22⋊C4—22no—
559C22⋊C4—22no—
560C22⋊C4—22no—
561C22⋊C4—22no—
562C22⋊C4—22no—
563C22⋊C4—22no—
564C22⋊C4—21no—
565C22⋊C4—21no—
566C22⋊C4—21no—
567C22⋊C4—21no—
568C22⋊C4—21no—
569C22⋊C4—21no—
570C22⋊C4—22no—
571C22⋊C4—22no—
572C22⋊C4—21no—
573C22⋊C4—21no—
574C42—22no—
575C42—21no—
576C42—21no—
577C42—21no—
578C42—21no—
579C42C2×D4×C13711yescharacteristic
580C42C2×D4×C13711yescharacteristic
581C42C2×D4×C13711yescharacteristic
582C42C24×C13711yescharacteristic
583C23—21no—
584C23—21no—
585C23—22no—
586C23—44no—
587C23—42no—
588C23—82no—
589C23—82no—
590C23—82no—
591C23—82no—
592C23—82no—
593C23#120×C13711yescharacteristic
594Q8—21no—
595Q8—21no—
596Q8—22no—
597Q8—42no—
598Q8—82no—
599D4—21no—
600D4—22no—
601D4—42no—
602D4—44no—
603D4—42no—
604D4—44no—
605D4—41no—
606D4—42no—
607D4—41no—
608D4—42no—
609D4—42no—
610D4—42no—
611D4—42no—
612D4—82no—
613D4—82no—
614D4—82no—
615D4—82no—
616D4—81no—
617D4—82no—
618D4AGL(1,ℤ/8)×C13712yes—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—41no—
630C2×C4—42no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—82no—
635C2×C4—81no—
636C2×C4—82no—
637C2×C4—82no—
638C2×C4#120×C13711yescharacteristic
639C2×C4#120×C13711yescharacteristic
640C2×C4#120×C13711yescharacteristic
641C2×C4C22×D4×C13711yescharacteristic
642C2×C4C22×D4×C13711yescharacteristic
643C2×C4C22×D4×C13711yescharacteristic
644C8—42no—
645C8—42no—
646C8—42no—
647C22—21no—
648C22—22no—
649C22—21no—
650C22—21no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—42no—
655C22—42no—
656C22—41no—
657C22—42no—
658C22—41no—
659C22—82no—
660C22—82no—
661C22—82no—
662C22—164no—
663C22—164no—
664C22C2×#120×C13711yescharacteristic
665C4—21no—
666C4—21no—
667C4—21no—
668C4—21no—
669C4—41no—
670C4—41no—
671C4—41no—
672C4—42no—
673C4—41no—
674C4—41no—
675C4—41no—
676C4C2×AGL(1,ℤ/8)×C13711yescharacteristic
677C4#575×C13711yescharacteristic
678C4#576×C13712yes—
679C2—41no—
680C2—42no—
681C2—81no—
682C2—82no—
683C2—162no—
684C2#3006×C13711yescharacteristic
685C2#3008×C13711yescharacteristic
686C2#3021×C13711yescharacteristic
subgroupG/H
center, socleC22×C137C2×#120
commutator, Frattini, cosocleC42C24×C137
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C137 ◁ C2×C42×C137 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3514×C137C2semidirect
2. #3217×C137C2semidirect
3. #3205×C137C2semidirect
4. #3038×C137C2semidirect
5. #1628×C137C2semidirect
6. #1627×C137C2semidirect
7. #1620×C137C2semidirect
8. #1619×C137C2semidirect
9. #1557×C137C2semidirect
10. #1495×C137C2semidirect
11. #1488×C137C2semidirect
13. #559×C137C22semidirect
14. #556×C137C22semidirect
17. D4×Q8×C137C22semidirect
21. D42×C137C22semidirect
25. C2×#127×C137C22semidirect
34. #486×C137C22semidirect
36. #460×C137C22semidirect
37. #460×C137C22semidirect
45. #432×C137C22semidirect
46. #431×C137C22semidirect
47. #423×C137C22semidirect
49. #332×C137C22semidirect
50. #331×C137C22semidirect
51. Q8⋊C8×C137C22semidirect
52. Q8⋊C8×C137C22semidirect
53. D4⋊C8×C137C22semidirect
54. D4⋊C8×C137C22semidirect
343. #18834C137direct (N × H)
344. C137#18834direct (N × H)
345. #3514C2×C137semidirect
346. #3217C2×C137semidirect
347. #3205C2×C137semidirect
348. #3038C2×C137semidirect
349. #1628C2×C137semidirect
350. #1627C2×C137semidirect
351. #1620C2×C137semidirect
352. #1619C2×C137semidirect
353. #1557C2×C137semidirect
354. #1495C2×C137semidirect
355. #1488C2×C137semidirect
357. #559C22×C137semidirect
358. #556C22×C137semidirect
361. D4×Q8C22×C137semidirect
365. D42C22×C137semidirect
369. C2×#127C22×C137semidirect
378. #486C22×C137semidirect
380. #460C22×C137semidirect
381. #460C22×C137semidirect
389. #432C22×C137semidirect
390. #431C22×C137semidirect
391. #423C22×C137semidirect
393. #332C22×C137semidirect
394. #331C22×C137semidirect
395. Q8⋊C8C22×C137semidirect
396. Q8⋊C8C22×C137semidirect
397. D4⋊C8C22×C137semidirect
398. D4⋊C8C22×C137semidirect

Maximal subgroups

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

subgroupindex
#3514×C1372
#3217×C1372
#3205×C1372
#3038×C1372
#1628×C1372
#1627×C1372
#1620×C1372
#1619×C1372
#1557×C1372
#1495×C1372
#1488×C1372
#18834137