Finite Group Databasebeta

← C137×#23994 #46873380

Subgroups — C137×#23994 #46873380

Order 35072.

1250 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3444×C137C211yesmaximal, characteristic, complemented
2#3025×C137C211yesmaximal, characteristic, complemented
3#3018×C137C211yesmaximal, characteristic, complemented
4#2901×C137C211yesmaximal, characteristic, complemented
5#2031×C137C212yesmaximal, complemented
6#2010×C137C212yesmaximal, complemented
7#1906×C137C212yesmaximal, complemented
8#1896×C137C212yesmaximal, complemented
9#1891×C137C211yesmaximal, characteristic, complemented
10#1884×C137C211yesmaximal, characteristic, complemented
11#1827×C137C211yesmaximal, characteristic, complemented
12#585×C137C2211yescharacteristic
13#575×C137C2212yes—
14#568×C137C2211yescharacteristic
15#533×C137—21no—
16#533×C137C2211yescharacteristic, complemented
17#532×C137—21no—
18#532×C137C2211yescharacteristic
19#529×C137—21no—
20#529×C137—21no—
21#529×C137—22no—
22#529×C137—22no—
23#525×C137—22no—
24#525×C137C2211yescharacteristic
25#525×C137C2212yes—
26#525×C137C2211yescharacteristic, complemented
27C4×#41×C137—22no—
28C4×#41×C137C2211yescharacteristic
29C4×#41×C137C2211yescharacteristic, complemented
30C22×C42×C137C2211yescharacteristic, complemented
31#458×C137—22no—
32B(4,𝔽2)×C137—22no—
33#456×C137—21no—
34#455×C137—21no—
35#454×C137—21no—
36#453×C137—21no—
37#421×C137—22no—
38#421×C137C2212yes—
39#421×C137C2212yescomplemented
40C2×#104×C137—22no—
41C2×#104×C137C2212yes—
42C2×#104×C137C2212yes—
43#413×C137C2211yescharacteristic
44#410×C137C2212yes—
45#410×C137C2211yescharacteristic
46#407×C137C2212yescomplemented
47#344×C137C2212yescomplemented
48#339×C137C2212yescomplemented
49#339×C137C2212yescomplemented
50H(3,ℤ/4)×C137C2212yescomplemented
512−1+4×C137—22no—
522−1+4×C137—21no—
53H(5,𝔽2)×C137—22no—
54H(5,𝔽2)×C137—22no—
55H(5,𝔽2)×C137—21no—
56C2×#41×C137—22no—
57C2×#41×C137—22no—
58C2×#41×C137—42no—
59C2×#41×C137C2311yescharacteristic
60C2×#41×C137C2312yes—
61C2×#41×C137C2311yescharacteristic
62C23×C4×C137—21no—
63C23×C4×C137C2311yescharacteristic
64#137×C137—22no—
65#137×C137—22no—
66AGL(1,ℤ/8)×C137—22no—
67AGL(1,ℤ/8)×C137—22no—
68#135×C137—42no—
69#131×C137—42no—
70C2×M16×C137—22no—
71C2×M16×C137C2312yes—
72C2×M16×C137C2312yes—
73C4⋊Q8×C137—21no—
74C4⋊Q8×C137D411yescharacteristic, complemented
75#127×C137D411yescharacteristic, complemented
76#126×C137—22no—
77#126×C137—22no—
78#125×C137—22no—
79#125×C137—21no—
80#124×C137—22no—
81#124×C137D411yescharacteristic, complemented
82#124×C137D411yescharacteristic, complemented
83#123×C137—22no—
84#123×C137—22no—
85#123×C137—21no—
86#123×C137—22no—
87#123×C137D412yes—
88C22⋊Q8×C137—22no—
89C22⋊Q8×C137—21no—
90C22⋊Q8×C137—21no—
91C22⋊Q8×C137—22no—
92C22⋊Q8×C137—22no—
93#121×C137—22no—
94#121×C137—22no—
95#121×C137—21no—
96#121×C137—21no—
97#121×C137—22no—
98#120×C137—21no—
99#120×C137—22no—
100#120×C137D412yes—
101C4×Q8×C137—22no—
102C4×Q8×C137—21no—
103C4×Q8×C137—21no—
104C4×Q8×C137—22no—
105C4×D4×C137—22no—
106C4×D4×C137—22no—
107C4×D4×C137—22no—
108C4×D4×C137—22no—
109C4×D4×C137—21no—
110C4×D4×C137—21no—
111C4×D4×C137—22no—
112C4×D4×C137—22no—
113C4×D4×C137—22no—
114C4×D4×C137—22no—
115C4×D4×C137—42no—
116#117×C137—22no—
117#117×C137—22no—
118#117×C137—22no—
119#117×C137—21no—
120#117×C137D412yescomplemented
121#117×C137C2312yes—
122#117×C137C2311yescharacteristic
123#117×C137C2311yescharacteristic
124C2×C42×C137—21no—
125C2×C42×C137—21no—
126C2×C42×C137—21no—
127C2×C42×C137—21no—
128C2×C42×C137—21no—
129C2×C42×C137—21no—
130C2×C42×C137D412yescomplemented
131C2×C42×C137C2311yescharacteristic
132C2×C42×C137C2311yescharacteristic
133#104×C137—22no—
134#104×C137—24no—
135#104×C137—22no—
136#104×C137—22no—
137#104×C137—22no—
138#104×C137—42no—
139#101×C137—21no—
140#100×C137—21no—
141#99×C137—22no—
142#99×C137—24no—
143C22⋊C8×C137—42no—
144C24×C137C2×D411yescharacteristic
145#41×C137—22no—
146#41×C137—22no—
147#41×C137—24no—
148#41×C137—22no—
149#41×C137—22no—
150#41×C137—22no—
151#41×C137—22no—
152#41×C137—22no—
153#41×C137—22no—
154#41×C137—44no—
155#41×C137—48no—
156#41×C137—42no—
157#41×C137—42no—
158#41×C137—42no—
159#41×C137—42no—
160C2×Q8×C137—22no—
161C2×Q8×C137—22no—
162C2×Q8×C137—42no—
163C2×Q8×C137C2×D411yescharacteristic
164C2×Q8×C137C2×D411yescharacteristic
165C2×Q8×C137#4112yescomplemented
166C2×D4×C137—22no—
167C2×D4×C137—22no—
168C2×D4×C137—22no—
169C2×D4×C137—22no—
170C2×D4×C137—22no—
171C2×D4×C137—21no—
172C2×D4×C137—42no—
173C2×D4×C137—44no—
174C2×D4×C137—42no—
175C2×D4×C137—42no—
176C2×D4×C137C2×D412yes—
177C2×D4×C137C2×D411yescharacteristic
178C2×D4×C137C2×D411yescharacteristic
179C2×D4×C137#4112yescomplemented
180C22×C4×C137—21no—
181C22×C4×C137—21no—
182C22×C4×C137—21no—
183C22×C4×C137—21no—
184C22×C4×C137—22no—
185C22×C4×C137—22no—
186C22×C4×C137—21no—
187C22×C4×C137—21no—
188C22×C4×C137—21no—
189C22×C4×C137—21no—
190C22×C4×C137—21no—
191C22×C4×C137—22no—
192C22×C4×C137—22no—
193C22×C4×C137—22no—
194C22×C4×C137—44no—
195C22×C4×C137—42no—
196C22×C4×C137C2×D411yescharacteristic
197C22×C4×C137C2×D412yes—
198C22×C4×C137C2411yescharacteristic
199Q16×C137—42no—
200SD16×C137—42no—
201SD16×C137—42no—
202D8×C137—42no—
203M16×C137—22no—
204M16×C137—22no—
205M16×C137—22no—
206M16×C137—22no—
207M16×C137—42no—
208C2×C8×C137—22no—
209C2×C8×C137—22no—
210C2×C8×C137—42no—
211C4⋊C4×C137—22no—
212C4⋊C4×C137—22no—
213C4⋊C4×C137—22no—
214C4⋊C4×C137—22no—
215C4⋊C4×C137—22no—
216C4⋊C4×C137—22no—
217C4⋊C4×C137—22no—
218C4⋊C4×C137—22no—
219C4⋊C4×C137—21no—
220C4⋊C4×C137—21no—
221C4⋊C4×C137—22no—
222C4⋊C4×C137—42no—
223C22⋊C4×C137—22no—
224C22⋊C4×C137—22no—
225C22⋊C4×C137—22no—
226C22⋊C4×C137—22no—
227C22⋊C4×C137—22no—
228C22⋊C4×C137—22no—
229C22⋊C4×C137—21no—
230C22⋊C4×C137—22no—
231C22⋊C4×C137—22no—
232C22⋊C4×C137—22no—
233C22⋊C4×C137—42no—
234C22⋊C4×C137—42no—
235C22⋊C4×C137C2×D412yes—
236C42×C137—21no—
237C42×C137—21no—
238C42×C137—21no—
239C42×C137—21no—
240C42×C137—22no—
241C42×C137—22no—
242C42×C137—21no—
243C42×C137—21no—
244C42×C137—21no—
245C42×C137—22no—
246C42×C137C2×D411yescharacteristic
247C42×C137C2×D411yescharacteristic
248C42×C137C2×D411yescharacteristic
249C42×C137C2×D411yescharacteristic
250C42×C137C2×D412yes—
251C23×C137—21no—
252C23×C137—22no—
253C23×C137—21no—
254C23×C137—22no—
255C23×C137—42no—
256C23×C137—42no—
257C23×C137#12012yes—
258C23×C137C22×D411yescharacteristic
259Q8×C137—22no—
260Q8×C137—22no—
261Q8×C137—22no—
262Q8×C137—22no—
263Q8×C137—42no—
264Q8×C137—44no—
265D4×C137—24no—
266D4×C137—22no—
267D4×C137—22no—
268D4×C137—22no—
269D4×C137—22no—
270D4×C137—42no—
271D4×C137—44no—
272D4×C137—44no—
273D4×C137—44no—
274D4×C137—44no—
275D4×C137—42no—
276D4×C137—42no—
277D4×C137—42no—
278D4×C137—84no—
279C2×C4×C137—24no—
280C2×C4×C137—21no—
281C2×C4×C137—21no—
282C2×C4×C137—22no—
283C2×C4×C137—22no—
284C2×C4×C137—21no—
285C2×C4×C137—21no—
286C2×C4×C137—21no—
287C2×C4×C137—21no—
288C2×C4×C137—22no—
289C2×C4×C137—22no—
290C2×C4×C137—22no—
291C2×C4×C137—22no—
292C2×C4×C137—42no—
293C2×C4×C137—42no—
294C2×C4×C137—42no—
295C2×C4×C137—42no—
296C2×C4×C137—44no—
297C2×C4×C137—44no—
298C2×C4×C137—44no—
299C2×C4×C137—42no—
300C2×C4×C137—42no—
301C2×C4×C137—41no—
302C2×C4×C137—41no—
303C2×C4×C137—41no—
304C2×C4×C137—42no—
305C2×C4×C137—41no—
306C2×C4×C137—42no—
307C2×C4×C137—42no—
308C2×C4×C137—42no—
309C2×C4×C137#12012yes—
310C2×C4×C137C22×D411yescharacteristic
311C2×C4×C137C22×D411yescharacteristic
312C2×C4×C137C2×#4112yes—
313C2×C4×C137H(5,𝔽2)12yes—
314C8×C137—42no—
315C8×C137—42no—
316C22×C137—22no—
317C22×C137—24no—
318C22×C137—22no—
319C22×C137—41no—
320C22×C137—42no—
321C22×C137—41no—
322C22×C137—42no—
323C22×C137—42no—
324C22×C137—41no—
325C22×C137—42no—
326C22×C137—41no—
327C22×C137—82no—
328C22×C137—162no—
329C22×C137C2×#12011yescharacteristic
330C22×C137#54612yes—
331C4×C137—22no—
332C4×C137—22no—
333C4×C137—22no—
334C4×C137—41no—
335C4×C137—41no—
336C4×C137—42no—
337C4×C137—42no—
338C4×C137—41no—
339C4×C137—42no—
340C4×C137—41no—
341C4×C137—82no—
342C4×C137#52511yescharacteristic
343C4×C137#53511yescharacteristic
344C4×C137#54612yes—
345C2×C137—21no—
346C2×C137—22no—
347C2×C137—42no—
348C2×C137—42no—
349C2×C137—81no—
350C2×C137—82no—
351C2×C137#240411yescharacteristic
352#23994C13711yesmaximal, characteristic, direct product factor, Sylow
353C137#2399411yescharacteristic, direct product factor, Sylow
354#3444C2×C13711yescharacteristic, complemented
355#3025C2×C13711yescharacteristic, complemented
356#3018C2×C13711yescharacteristic, complemented
357#2901C2×C13711yescharacteristic, complemented
358#2031C2×C13712yescomplemented
359#2010C2×C13712yescomplemented
360#1906C2×C13712yescomplemented
361#1896C2×C13712yescomplemented
362#1891C2×C13711yescharacteristic, complemented
363#1884C2×C13711yescharacteristic, complemented
364#1827C2×C13711yescharacteristic, complemented
365#585C22×C13711yescharacteristic
366#575C22×C13712yes—
367#568C22×C13711yescharacteristic
368#533—21no—
369#533C22×C13711yescharacteristic, complemented
370#532—21no—
371#532C22×C13711yescharacteristic
372#529—21no—
373#529—21no—
374#529—22no—
375#529—22no—
376#525—22no—
377#525C22×C13711yescharacteristic
378#525C22×C13712yes—
379#525C22×C13711yescharacteristic, complemented
380C4×#41—22no—
381C4×#41C22×C13711yescharacteristic
382C4×#41C22×C13711yescharacteristic, complemented
383C22×C42C22×C13711yescharacteristic, complemented
384#458—22no—
385B(4,𝔽2)—22no—
386#456—21no—
387#455—21no—
388#454—21no—
389#453—21no—
390#421—22no—
391#421C22×C13712yes—
392#421C22×C13712yescomplemented
393C2×#104—22no—
394C2×#104C22×C13712yes—
395C2×#104C22×C13712yes—
396#413C22×C13711yescharacteristic
397#410C22×C13711yescharacteristic
398#410C22×C13712yes—
399#407C22×C13712yescomplemented
400#344C22×C13712yescomplemented
401#339C22×C13712yescomplemented
402#339C22×C13712yescomplemented
403H(3,ℤ/4)C22×C13712yescomplemented
4042−1+4—22no—
4052−1+4—21no—
406H(5,𝔽2)—22no—
407H(5,𝔽2)—22no—
408H(5,𝔽2)—21no—
409C2×#41—22no—
410C2×#41—22no—
411C2×#41—42no—
412C2×#41C23×C13711yescharacteristic
413C2×#41C23×C13712yes—
414C2×#41C23×C13711yescharacteristic
415C23×C4—21no—
416C23×C4C23×C13711yescharacteristic
417#137—22no—
418#137—22no—
419AGL(1,ℤ/8)—22no—
420AGL(1,ℤ/8)—22no—
421#135—42no—
422#131—42no—
423C2×M16—22no—
424C2×M16C23×C13712yes—
425C2×M16C23×C13712yes—
426C4⋊Q8—21no—
427C4⋊Q8D4×C13711yescharacteristic, complemented
428#127D4×C13711yescharacteristic, complemented
429#126—22no—
430#126—22no—
431#125—22no—
432#125—21no—
433#124—22no—
434#124D4×C13711yescharacteristic, complemented
435#124D4×C13711yescharacteristic, complemented
436#123—22no—
437#123—22no—
438#123—21no—
439#123—22no—
440#123D4×C13712yes—
441C22⋊Q8—22no—
442C22⋊Q8—21no—
443C22⋊Q8—21no—
444C22⋊Q8—22no—
445C22⋊Q8—22no—
446#121—22no—
447#121—22no—
448#121—21no—
449#121—21no—
450#121—22no—
451#120—21no—
452#120—22no—
453#120D4×C13712yes—
454C4×Q8—22no—
455C4×Q8—21no—
456C4×Q8—21no—
457C4×Q8—22no—
458C4×D4—22no—
459C4×D4—22no—
460C4×D4—22no—
461C4×D4—22no—
462C4×D4—21no—
463C4×D4—21no—
464C4×D4—22no—
465C4×D4—22no—
466C4×D4—22no—
467C4×D4—22no—
468C4×D4—42no—
469#117—22no—
470#117—22no—
471#117—22no—
472#117—21no—
473#117D4×C13712yescomplemented
474#117C23×C13712yes—
475#117C23×C13711yescharacteristic
476#117C23×C13711yescharacteristic
477C2×C42—21no—
478C2×C42—21no—
479C2×C42—21no—
480C2×C42—21no—
481C2×C42—21no—
482C2×C42—21no—
483C2×C42D4×C13712yescomplemented
484C2×C42C23×C13711yescharacteristic
485C2×C42C23×C13711yescharacteristic
486#104—22no—
487#104—24no—
488#104—22no—
489#104—22no—
490#104—22no—
491#104—42no—
492#101—21no—
493#100—21no—
494#99—22no—
495#99—24no—
496C22⋊C8—42no—
497C24C2×D4×C13711yescharacteristic
498#41—22no—
499#41—22no—
500#41—24no—
501#41—22no—
502#41—22no—
503#41—22no—
504#41—22no—
505#41—22no—
506#41—22no—
507#41—44no—
508#41—48no—
509#41—42no—
510#41—42no—
511#41—42no—
512#41—42no—
513C2×Q8—22no—
514C2×Q8—22no—
515C2×Q8—42no—
516C2×Q8C2×D4×C13711yescharacteristic
517C2×Q8C2×D4×C13711yescharacteristic
518C2×Q8#41×C13712yescomplemented
519C2×D4—22no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—21no—
525C2×D4—42no—
526C2×D4—44no—
527C2×D4—42no—
528C2×D4—42no—
529C2×D4C2×D4×C13712yes—
530C2×D4C2×D4×C13711yescharacteristic
531C2×D4C2×D4×C13711yescharacteristic
532C2×D4#41×C13712yescomplemented
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—22no—
538C22×C4—22no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—44no—
548C22×C4—42no—
549C22×C4C2×D4×C13711yescharacteristic
550C22×C4C2×D4×C13712yes—
551C22×C4C24×C13711yescharacteristic
552Q16—42no—
553SD16—42no—
554SD16—42no—
555D8—42no—
556M16—22no—
557M16—22no—
558M16—22no—
559M16—22no—
560M16—42no—
561C2×C8—22no—
562C2×C8—22no—
563C2×C8—42no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—22no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—22no—
575C4⋊C4—42no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—22no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—22no—
582C22⋊C4—21no—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—42no—
587C22⋊C4—42no—
588C22⋊C4C2×D4×C13712yes—
589C42—21no—
590C42—21no—
591C42—21no—
592C42—21no—
593C42—22no—
594C42—22no—
595C42—21no—
596C42—21no—
597C42—21no—
598C42—22no—
599C42C2×D4×C13711yescharacteristic
600C42C2×D4×C13711yescharacteristic
601C42C2×D4×C13711yescharacteristic
602C42C2×D4×C13711yescharacteristic
603C42C2×D4×C13712yes—
604C23—21no—
605C23—22no—
606C23—21no—
607C23—22no—
608C23—42no—
609C23—42no—
610C23#120×C13712yes—
611C23C22×D4×C13711yescharacteristic
612Q8—22no—
613Q8—22no—
614Q8—22no—
615Q8—22no—
616Q8—42no—
617Q8—44no—
618D4—24no—
619D4—22no—
620D4—22no—
621D4—22no—
622D4—22no—
623D4—42no—
624D4—44no—
625D4—44no—
626D4—44no—
627D4—44no—
628D4—42no—
629D4—42no—
630D4—42no—
631D4—84no—
632C2×C4—24no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—44no—
650C2×C4—44no—
651C2×C4—44no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—41no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4#120×C13712yes—
663C2×C4C22×D4×C13711yescharacteristic
664C2×C4C22×D4×C13711yescharacteristic
665C2×C4C2×#41×C13712yes—
666C2×C4H(5,𝔽2)×C13712yes—
667C8—42no—
668C8—42no—
669C22—22no—
670C22—24no—
671C22—22no—
672C22—41no—
673C22—42no—
674C22—41no—
675C22—42no—
676C22—42no—
677C22—41no—
678C22—42no—
679C22—41no—
680C22—82no—
681C22—162no—
682C22C2×#120×C13711yescharacteristic
683C22#546×C13712yes—
684C4—22no—
685C4—22no—
686C4—22no—
687C4—41no—
688C4—41no—
689C4—42no—
690C4—42no—
691C4—41no—
692C4—42no—
693C4—41no—
694C4—82no—
695C4#525×C13711yescharacteristic
696C4#535×C13711yescharacteristic
697C4#546×C13712yes—
698C2—21no—
699C2—22no—
700C2—42no—
701C2—42no—
702C2—81no—
703C2—82no—
704C2#2404×C13711yescharacteristic
subgroupG/H
centerC4×C137#535
commutator, Frattini, cosocleC22×C4C24×C137
socleC2×C137#2404
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C4×C137 ◁ C22×C4×C137 ◁ G

Complements

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

NH ≅ G/Ntype
1. #3444×C137C2semidirect
2. #3025×C137C2semidirect
3. #3018×C137C2semidirect
4. #2901×C137C2semidirect
5. #2031×C137C2semidirect
6. #2010×C137C2semidirect
7. #1906×C137C2semidirect
8. #1896×C137C2semidirect
9. #1891×C137C2semidirect
10. #1884×C137C2semidirect
11. #1827×C137C2semidirect
16. #533×C137C22semidirect
26. #525×C137C22semidirect
29. C4×#41×C137C22semidirect
30. C22×C42×C137C22semidirect
39. #421×C137C22semidirect
46. #407×C137C22semidirect
47. #344×C137C22semidirect
48. #339×C137C22semidirect
49. #339×C137C22semidirect
50. H(3,ℤ/4)×C137C22semidirect
74. C4⋊Q8×C137D4semidirect
75. #127×C137D4semidirect
81. #124×C137D4semidirect
82. #124×C137D4semidirect
120. #117×C137D4semidirect
130. C2×C42×C137D4semidirect
165. C2×Q8×C137#41semidirect
179. C2×D4×C137#41semidirect
352. #23994C137direct (N × H)
353. C137#23994direct (N × H)
354. #3444C2×C137semidirect
355. #3025C2×C137semidirect
356. #3018C2×C137semidirect
357. #2901C2×C137semidirect
358. #2031C2×C137semidirect
359. #2010C2×C137semidirect
360. #1906C2×C137semidirect
361. #1896C2×C137semidirect
362. #1891C2×C137semidirect
363. #1884C2×C137semidirect
364. #1827C2×C137semidirect
369. #533C22×C137semidirect
379. #525C22×C137semidirect
382. C4×#41C22×C137semidirect
383. C22×C42C22×C137semidirect
392. #421C22×C137semidirect
399. #407C22×C137semidirect
400. #344C22×C137semidirect
401. #339C22×C137semidirect
402. #339C22×C137semidirect
403. H(3,ℤ/4)C22×C137semidirect
427. C4⋊Q8D4×C137semidirect
428. #127D4×C137semidirect
434. #124D4×C137semidirect
435. #124D4×C137semidirect
473. #117D4×C137semidirect
483. C2×C42D4×C137semidirect
518. C2×Q8#41×C137semidirect
532. C2×D4#41×C137semidirect

Maximal subgroups

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

subgroupindex
#3444×C1372
#3025×C1372
#3018×C1372
#2901×C1372
#2031×C1372
#2010×C1372
#1906×C1372
#1896×C1372
#1891×C1372
#1884×C1372
#1827×C1372
#23994137