Finite Group Databasebeta

← C137×#18570 #46867956

Subgroups — C137×#18570 #46867956

Order 35072.

1028 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3519×C137C211yesmaximal, characteristic
2#3239×C137C211yesmaximal, characteristic, complemented
3#3141×C137C211yesmaximal, characteristic, complemented
4C2×#461×C137C211yesmaximal, characteristic, complemented
5#1646×C137C212yesmaximal, complemented
6#1643×C137C212yesmaximal, complemented
7#1642×C137C212yesmaximal, complemented
8#1639×C137C212yesmaximal, complemented
9#1551×C137C211yesmaximal, characteristic, complemented
10#1490×C137C211yesmaximal, characteristic, complemented
11#1483×C137C211yesmaximal, characteristic, complemented
12C22×SD16×C137—21no—
13#555×C137C2211yescharacteristic
14#554×C137C2211yescharacteristic
15#553×C137—21no—
16#553×C137—21no—
17#550×C137C2211yescharacteristic
18#546×C137—22no—
19#546×C137—21no—
20D42×C137—21no—
21D42×C137C2211yescharacteristic
22#540×C137—21no—
23#538×C137—22no—
24#532×C137C2211yescharacteristic
25C2×C4⋊Q8×C137C2211yescharacteristic, complemented
26#529×C137C2211yescharacteristic
27#525×C137—21no—
28C2×#121×C137—21no—
29#518×C137—21no—
30C2×C4×D4×C137C2211yescharacteristic
31#501×C137—21no—
32#489×C137—22no—
33#489×C137—21no—
34#487×C137C2212yescomplemented
35#486×C137C2212yescomplemented
36#484×C137—21no—
37#481×C137—21no—
38#475×C137C2212yescomplemented
39#474×C137C2212yescomplemented
40#461×C137—21no—
41#461×C137—21no—
42#461×C137C2212yes—
43#461×C137C2212yescomplemented
44#432×C137C2211yescharacteristic, complemented
45C2×C4⋊C8×C137C2211yescharacteristic, complemented
46#417×C137—22no—
47C2×#103×C137—21no—
48C4×M16×C137C2211yescharacteristic, complemented
49#333×C137C2212yescomplemented
50#331×C137C2212yescomplemented
51Q8⋊C8×C137C2212yescomplemented
52D4⋊C8×C137C2212yes—
53D4⋊C8×C137C2212yescomplemented
54D4⋊C8×C137C2212yescomplemented
55C2×#41×C137—21no—
56C2×#41×C137D412yes—
57C22×Q8×C137—21no—
58C22×D4×C137—22no—
59C22×D4×C137—21no—
60C22×D4×C137—21no—
61C22×D4×C137D411yescharacteristic
62C23×C4×C137—21no—
63C2×SD16×C137—22no—
64C2×SD16×C137—22no—
65C2×SD16×C137—44no—
66C2×M16×C137—21no—
67C22×C8×C137—21no—
68C4⋊Q8×C137—21no—
69C4⋊Q8×C137—21no—
70C4⋊Q8×C137—21no—
71C4⋊Q8×C137C2312yes—
72C4⋊Q8×C137C2311yescharacteristic
73#127×C137—21no—
74#127×C137C2311yescharacteristic
75#126×C137—22no—
76#126×C137—21no—
77#125×C137—21no—
78#125×C137D411yescharacteristic
79#124×C137—22no—
80#124×C137D411yescharacteristic
81#124×C137D412yes—
82#123×C137—22no—
83#123×C137—22no—
84#123×C137—22no—
85#123×C137—21no—
86C22⋊Q8×C137—21no—
87C22⋊Q8×C137—22no—
88C22⋊Q8×C137D411yescharacteristic
89#121×C137—22no—
90#121×C137—22no—
91#121×C137—22no—
92#121×C137—22no—
93#121×C137—21no—
94#121×C137—22no—
95#121×C137—21no—
96#121×C137—21no—
97#121×C137—21no—
98#121×C137—21no—
99#121×C137—21no—
100#121×C137—21no—
101#121×C137D411yescharacteristic
102#120×C137—22no—
103#120×C137—22no—
104#120×C137—22no—
105C4×Q8×C137C2311yescharacteristic
106C4×D4×C137—22no—
107C4×D4×C137—22no—
108C4×D4×C137—22no—
109C4×D4×C137—21no—
110C4×D4×C137—21no—
111C4×D4×C137—21no—
112C4×D4×C137—21no—
113C4×D4×C137—21no—
114C4×D4×C137—21no—
115C4×D4×C137—21no—
116C4×D4×C137D411yescharacteristic
117C4×D4×C137D411yescharacteristic
118C4×D4×C137C2311yescharacteristic
119C4×D4×C137C2311yescharacteristic
120C4×D4×C137C2311yescharacteristic
121#117×C137—21no—
122#117×C137—21no—
123#117×C137—21no—
124C2×C4⋊C4×C137—21no—
125C2×C4⋊C4×C137—21no—
126C2×C4⋊C4×C137—21no—
127C2×C4⋊C4×C137D411yescharacteristic
128C2×C22⋊C4×C137—22no—
129C2×C22⋊C4×C137—22no—
130C2×C22⋊C4×C137—21no—
131C2×C42×C137C2311yescharacteristic
132#107×C137—22no—
133#106×C137—22no—
134C4⋊C8×C137—21no—
135C4⋊C8×C137C2312yes—
136C4⋊C8×C137C2312yes—
137#103×C137—24no—
138#103×C137—22no—
139#103×C137—22no—
140#103×C137—22no—
141#102×C137—24no—
142#102×C137—22no—
143C22⋊C8×C137—21no—
144#97×C137—21no—
145#97×C137—21no—
146C4×C8×C137C2312yes—
147C24×C137—22no—
148C24×C137—21no—
149#41×C137—44no—
150#41×C137—82no—
151C2×Q8×C137—22no—
152C2×Q8×C137—42no—
153C2×Q8×C137—42no—
154C2×Q8×C137—41no—
155C2×Q8×C137C2×D411yescharacteristic
156C2×Q8×C137C2×D412yes—
157C2×D4×C137—22no—
158C2×D4×C137—22no—
159C2×D4×C137—22no—
160C2×D4×C137—21no—
161C2×D4×C137—22no—
162C2×D4×C137—22no—
163C2×D4×C137—22no—
164C2×D4×C137—22no—
165C2×D4×C137—21no—
166C2×D4×C137—21no—
167C2×D4×C137—21no—
168C2×D4×C137—41no—
169C2×D4×C137—42no—
170C2×D4×C137—42no—
171C2×D4×C137—82no—
172C2×D4×C137—84no—
173C2×D4×C137C2×D411yescharacteristic
174C2×D4×C137C2×D411yescharacteristic
175C2×D4×C137C2×D411yescharacteristic
176C2×D4×C137C2×D412yes—
177C22×C4×C137—22no—
178C22×C4×C137—22no—
179C22×C4×C137—21no—
180C22×C4×C137—21no—
181C22×C4×C137—21no—
182C22×C4×C137—21no—
183C22×C4×C137—21no—
184C22×C4×C137—22no—
185C22×C4×C137—21no—
186C22×C4×C137—41no—
187C22×C4×C137—82no—
188C22×C4×C137C2×D411yescharacteristic
189C22×C4×C137C2×D411yescharacteristic
190C22×C4×C137C2×D411yescharacteristic
191SD16×C137—44no—
192SD16×C137—44no—
193M16×C137—42no—
194C2×C8×C137—22no—
195C2×C8×C137—22no—
196C2×C8×C137—22no—
197C2×C8×C137—42no—
198C4⋊C4×C137—22no—
199C4⋊C4×C137—22no—
200C4⋊C4×C137—21no—
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—22no—
208C4⋊C4×C137—22no—
209C4⋊C4×C137—41no—
210C4⋊C4×C137—41no—
211C4⋊C4×C137C2×D411yescharacteristic
212C4⋊C4×C137C2×D411yescharacteristic
213C4⋊C4×C137C2×D411yescharacteristic
214C4⋊C4×C137C2×D411yescharacteristic
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—22no—
225C22⋊C4×C137—21no—
226C22⋊C4×C137—21no—
227C22⋊C4×C137—22no—
228C22⋊C4×C137—21no—
229C22⋊C4×C137—21no—
230C22⋊C4×C137—21no—
231C42×C137—22no—
232C42×C137—21no—
233C42×C137C2×D411yescharacteristic
234C42×C137C2×D411yescharacteristic
235C42×C137C2×D411yescharacteristic
236C42×C137C2411yescharacteristic
237C23×C137—21no—
238C23×C137—21no—
239C23×C137—21no—
240C23×C137—22no—
241C23×C137—42no—
242C23×C137—44no—
243C23×C137—42no—
244C23×C137—81no—
245C23×C137—82no—
246C23×C137—82no—
247C23×C137#12011yescharacteristic
248Q8×C137—22no—
249Q8×C137—42no—
250Q8×C137—42no—
251Q8×C137—42no—
252Q8×C137—82no—
253D4×C137—21no—
254D4×C137—21no—
255D4×C137—21no—
256D4×C137—22no—
257D4×C137—42no—
258D4×C137—42no—
259D4×C137—44no—
260D4×C137—42no—
261D4×C137—44no—
262D4×C137—41no—
263D4×C137—41no—
264D4×C137—42no—
265D4×C137—82no—
266D4×C137—82no—
267D4×C137—82no—
268D4×C137—82no—
269D4×C137AGL(1,ℤ/8)12yes—
270C2×C4×C137—22no—
271C2×C4×C137—21no—
272C2×C4×C137—21no—
273C2×C4×C137—22no—
274C2×C4×C137—21no—
275C2×C4×C137—21no—
276C2×C4×C137—21no—
277C2×C4×C137—22no—
278C2×C4×C137—21no—
279C2×C4×C137—21no—
280C2×C4×C137—41no—
281C2×C4×C137—41no—
282C2×C4×C137—42no—
283C2×C4×C137—42no—
284C2×C4×C137—42no—
285C2×C4×C137—81no—
286C2×C4×C137—81no—
287C2×C4×C137—82no—
288C2×C4×C137—81no—
289C2×C4×C137—82no—
290C2×C4×C137—82no—
291C2×C4×C137—82no—
292C2×C4×C137#12011yescharacteristic
293C2×C4×C137#12011yescharacteristic
294C2×C4×C137#12011yescharacteristic
295C2×C4×C137C22×D411yescharacteristic
296C2×C4×C137C22×D411yescharacteristic
297C2×C4×C137C22×D411yescharacteristic
298C8×C137—42no—
299C8×C137—42no—
300C8×C137—42no—
301C22×C137—21no—
302C22×C137—21no—
303C22×C137—22no—
304C22×C137—41no—
305C22×C137—41no—
306C22×C137—41no—
307C22×C137—41no—
308C22×C137—42no—
309C22×C137—41no—
310C22×C137—42no—
311C22×C137—41no—
312C22×C137—42no—
313C22×C137—41no—
314C22×C137—41no—
315C22×C137—84no—
316C22×C137—164no—
317C22×C137#45512yes—
318C22×C137C2×#12011yescharacteristic
319C4×C137—21no—
320C4×C137—21no—
321C4×C137—21no—
322C4×C137—21no—
323C4×C137—41no—
324C4×C137—41no—
325C4×C137—41no—
326C4×C137—41no—
327C4×C137—41no—
328C4×C137—42no—
329C4×C137—82no—
330C4×C137C2×AGL(1,ℤ/8)11yescharacteristic
331C4×C137#57511yescharacteristic
332C4×C137#57712yes—
333C2×C137—22no—
334C2×C137—42no—
335C2×C137—81no—
336C2×C137—82no—
337C2×C137—81no—
338C2×C137#300611yescharacteristic
339C2×C137#300911yescharacteristic
340C2×C137C2×#45511yescharacteristic
341#18570C13711yesmaximal, characteristic, direct product factor, Sylow
342C137#1857011yescharacteristic, direct product factor, Sylow
343#3519C2×C13711yescharacteristic
344#3239C2×C13711yescharacteristic, complemented
345#3141C2×C13711yescharacteristic, complemented
346C2×#461C2×C13711yescharacteristic, complemented
347#1646C2×C13712yescomplemented
348#1643C2×C13712yescomplemented
349#1642C2×C13712yescomplemented
350#1639C2×C13712yescomplemented
351#1551C2×C13711yescharacteristic, complemented
352#1490C2×C13711yescharacteristic, complemented
353#1483C2×C13711yescharacteristic, complemented
354C22×SD16—21no—
355#555C22×C13711yescharacteristic
356#554C22×C13711yescharacteristic
357#553—21no—
358#553—21no—
359#550C22×C13711yescharacteristic
360#546—22no—
361#546—21no—
362D42—21no—
363D42C22×C13711yescharacteristic
364#540—21no—
365#538—22no—
366#532C22×C13711yescharacteristic
367C2×C4⋊Q8C22×C13711yescharacteristic, complemented
368#529C22×C13711yescharacteristic
369#525—21no—
370C2×#121—21no—
371#518—21no—
372C2×C4×D4C22×C13711yescharacteristic
373#501—21no—
374#489—22no—
375#489—21no—
376#487C22×C13712yescomplemented
377#486C22×C13712yescomplemented
378#484—21no—
379#481—21no—
380#475C22×C13712yescomplemented
381#474C22×C13712yescomplemented
382#461—21no—
383#461—21no—
384#461C22×C13712yes—
385#461C22×C13712yescomplemented
386#432C22×C13711yescharacteristic, complemented
387C2×C4⋊C8C22×C13711yescharacteristic, complemented
388#417—22no—
389C2×#103—21no—
390C4×M16C22×C13711yescharacteristic, complemented
391#333C22×C13712yescomplemented
392#331C22×C13712yescomplemented
393Q8⋊C8C22×C13712yescomplemented
394D4⋊C8C22×C13712yes—
395D4⋊C8C22×C13712yescomplemented
396D4⋊C8C22×C13712yescomplemented
397C2×#41—21no—
398C2×#41D4×C13712yes—
399C22×Q8—21no—
400C22×D4—22no—
401C22×D4—21no—
402C22×D4—21no—
403C22×D4D4×C13711yescharacteristic
404C23×C4—21no—
405C2×SD16—22no—
406C2×SD16—22no—
407C2×SD16—44no—
408C2×M16—21no—
409C22×C8—21no—
410C4⋊Q8—21no—
411C4⋊Q8—21no—
412C4⋊Q8—21no—
413C4⋊Q8C23×C13712yes—
414C4⋊Q8C23×C13711yescharacteristic
415#127—21no—
416#127C23×C13711yescharacteristic
417#126—22no—
418#126—21no—
419#125—21no—
420#125D4×C13711yescharacteristic
421#124—22no—
422#124D4×C13711yescharacteristic
423#124D4×C13712yes—
424#123—22no—
425#123—22no—
426#123—22no—
427#123—21no—
428C22⋊Q8—21no—
429C22⋊Q8—22no—
430C22⋊Q8D4×C13711yescharacteristic
431#121—22no—
432#121—22no—
433#121—22no—
434#121—22no—
435#121—21no—
436#121—22no—
437#121—21no—
438#121—21no—
439#121—21no—
440#121—21no—
441#121—21no—
442#121—21no—
443#121D4×C13711yescharacteristic
444#120—22no—
445#120—22no—
446#120—22no—
447C4×Q8C23×C13711yescharacteristic
448C4×D4—22no—
449C4×D4—22no—
450C4×D4—22no—
451C4×D4—21no—
452C4×D4—21no—
453C4×D4—21no—
454C4×D4—21no—
455C4×D4—21no—
456C4×D4—21no—
457C4×D4—21no—
458C4×D4D4×C13711yescharacteristic
459C4×D4D4×C13711yescharacteristic
460C4×D4C23×C13711yescharacteristic
461C4×D4C23×C13711yescharacteristic
462C4×D4C23×C13711yescharacteristic
463#117—21no—
464#117—21no—
465#117—21no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4D4×C13711yescharacteristic
470C2×C22⋊C4—22no—
471C2×C22⋊C4—22no—
472C2×C22⋊C4—21no—
473C2×C42C23×C13711yescharacteristic
474#107—22no—
475#106—22no—
476C4⋊C8—21no—
477C4⋊C8C23×C13712yes—
478C4⋊C8C23×C13712yes—
479#103—24no—
480#103—22no—
481#103—22no—
482#103—22no—
483#102—24no—
484#102—22no—
485C22⋊C8—21no—
486#97—21no—
487#97—21no—
488C4×C8C23×C13712yes—
489C24—22no—
490C24—21no—
491#41—44no—
492#41—82no—
493C2×Q8—22no—
494C2×Q8—42no—
495C2×Q8—42no—
496C2×Q8—41no—
497C2×Q8C2×D4×C13711yescharacteristic
498C2×Q8C2×D4×C13712yes—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—21no—
503C2×D4—22no—
504C2×D4—22no—
505C2×D4—22no—
506C2×D4—22no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—41no—
511C2×D4—42no—
512C2×D4—42no—
513C2×D4—82no—
514C2×D4—84no—
515C2×D4C2×D4×C13711yescharacteristic
516C2×D4C2×D4×C13711yescharacteristic
517C2×D4C2×D4×C13711yescharacteristic
518C2×D4C2×D4×C13712yes—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—22no—
527C22×C4—21no—
528C22×C4—41no—
529C22×C4—82no—
530C22×C4C2×D4×C13711yescharacteristic
531C22×C4C2×D4×C13711yescharacteristic
532C22×C4C2×D4×C13711yescharacteristic
533SD16—44no—
534SD16—44no—
535M16—42no—
536C2×C8—22no—
537C2×C8—22no—
538C2×C8—22no—
539C2×C8—42no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—41no—
552C4⋊C4—41no—
553C4⋊C4C2×D4×C13711yescharacteristic
554C4⋊C4C2×D4×C13711yescharacteristic
555C4⋊C4C2×D4×C13711yescharacteristic
556C4⋊C4C2×D4×C13711yescharacteristic
557C22⋊C4—22no—
558C22⋊C4—22no—
559C22⋊C4—22no—
560C22⋊C4—22no—
561C22⋊C4—22no—
562C22⋊C4—21no—
563C22⋊C4—21no—
564C22⋊C4—21no—
565C22⋊C4—21no—
566C22⋊C4—22no—
567C22⋊C4—21no—
568C22⋊C4—21no—
569C22⋊C4—22no—
570C22⋊C4—21no—
571C22⋊C4—21no—
572C22⋊C4—21no—
573C42—22no—
574C42—21no—
575C42C2×D4×C13711yescharacteristic
576C42C2×D4×C13711yescharacteristic
577C42C2×D4×C13711yescharacteristic
578C42C24×C13711yescharacteristic
579C23—21no—
580C23—21no—
581C23—21no—
582C23—22no—
583C23—42no—
584C23—44no—
585C23—42no—
586C23—81no—
587C23—82no—
588C23—82no—
589C23#120×C13711yescharacteristic
590Q8—22no—
591Q8—42no—
592Q8—42no—
593Q8—42no—
594Q8—82no—
595D4—21no—
596D4—21no—
597D4—21no—
598D4—22no—
599D4—42no—
600D4—42no—
601D4—44no—
602D4—42no—
603D4—44no—
604D4—41no—
605D4—41no—
606D4—42no—
607D4—82no—
608D4—82no—
609D4—82no—
610D4—82no—
611D4AGL(1,ℤ/8)×C13712yes—
612C2×C4—22no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—22no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—42no—
627C2×C4—81no—
628C2×C4—81no—
629C2×C4—82no—
630C2×C4—81no—
631C2×C4—82no—
632C2×C4—82no—
633C2×C4—82no—
634C2×C4#120×C13711yescharacteristic
635C2×C4#120×C13711yescharacteristic
636C2×C4#120×C13711yescharacteristic
637C2×C4C22×D4×C13711yescharacteristic
638C2×C4C22×D4×C13711yescharacteristic
639C2×C4C22×D4×C13711yescharacteristic
640C8—42no—
641C8—42no—
642C8—42no—
643C22—21no—
644C22—21no—
645C22—22no—
646C22—41no—
647C22—41no—
648C22—41no—
649C22—41no—
650C22—42no—
651C22—41no—
652C22—42no—
653C22—41no—
654C22—42no—
655C22—41no—
656C22—41no—
657C22—84no—
658C22—164no—
659C22#455×C13712yes—
660C22C2×#120×C13711yescharacteristic
661C4—21no—
662C4—21no—
663C4—21no—
664C4—21no—
665C4—41no—
666C4—41no—
667C4—41no—
668C4—41no—
669C4—41no—
670C4—42no—
671C4—82no—
672C4C2×AGL(1,ℤ/8)×C13711yescharacteristic
673C4#575×C13711yescharacteristic
674C4#577×C13712yes—
675C2—22no—
676C2—42no—
677C2—81no—
678C2—81no—
679C2—82no—
680C2#3006×C13711yescharacteristic
681C2#3009×C13711yescharacteristic
682C2C2×#455×C13711yescharacteristic
subgroupG/H
center, socleC22×C137C2×#120
commutator, Frattini, cosocleC42C24×C137
prime radical#3519×C137C2
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
2. #3239×C137C2semidirect
3. #3141×C137C2semidirect
4. C2×#461×C137C2semidirect
5. #1646×C137C2semidirect
6. #1643×C137C2semidirect
7. #1642×C137C2semidirect
8. #1639×C137C2semidirect
9. #1551×C137C2semidirect
10. #1490×C137C2semidirect
11. #1483×C137C2semidirect
25. C2×C4⋊Q8×C137C22semidirect
34. #487×C137C22semidirect
35. #486×C137C22semidirect
38. #475×C137C22semidirect
39. #474×C137C22semidirect
43. #461×C137C22semidirect
44. #432×C137C22semidirect
45. C2×C4⋊C8×C137C22semidirect
48. C4×M16×C137C22semidirect
49. #333×C137C22semidirect
50. #331×C137C22semidirect
51. Q8⋊C8×C137C22semidirect
53. D4⋊C8×C137C22semidirect
54. D4⋊C8×C137C22semidirect
341. #18570C137direct (N × H)
342. C137#18570direct (N × H)
344. #3239C2×C137semidirect
345. #3141C2×C137semidirect
346. C2×#461C2×C137semidirect
347. #1646C2×C137semidirect
348. #1643C2×C137semidirect
349. #1642C2×C137semidirect
350. #1639C2×C137semidirect
351. #1551C2×C137semidirect
352. #1490C2×C137semidirect
353. #1483C2×C137semidirect
367. C2×C4⋊Q8C22×C137semidirect
376. #487C22×C137semidirect
377. #486C22×C137semidirect
380. #475C22×C137semidirect
381. #474C22×C137semidirect
385. #461C22×C137semidirect
386. #432C22×C137semidirect
387. C2×C4⋊C8C22×C137semidirect
390. C4×M16C22×C137semidirect
391. #333C22×C137semidirect
392. #331C22×C137semidirect
393. Q8⋊C8C22×C137semidirect
395. D4⋊C8C22×C137semidirect
396. D4⋊C8C22×C137semidirect

Maximal subgroups

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

subgroupindex
#3519×C1372
#3239×C1372
#3141×C1372
C2×#461×C1372
#1646×C1372
#1643×C1372
#1642×C1372
#1639×C1372
#1551×C1372
#1490×C1372
#1483×C1372
#18570137