Finite Group Databasebeta

← C137×#18377 #46867763

Subgroups — C137×#18377 #46867763

Order 35072.

1082 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3490×C137C211yesmaximal, characteristic
2#3190×C137C212yesmaximal, complemented
3#2561×C137C211yesmaximal, characteristic, complemented
4#1612×C137C212yesmaximal, complemented
5#1608×C137C211yesmaximal, characteristic, complemented
6#1607×C137C211yesmaximal, characteristic, complemented
7#1606×C137C212yesmaximal, complemented
8#1602×C137C211yesmaximal, characteristic, complemented
9#1601×C137C211yesmaximal, characteristic, complemented
10#1501×C137C212yesmaximal, complemented
11C2×#323×C137C211yesmaximal, characteristic, complemented
12#551×C137—22no—
13#551×C137—22no—
14#546×C137—22no—
15#546×C137—22no—
16#543×C137C2211yescharacteristic
17#538×C137—21no—
18#538×C137C2212yes—
19#534×C137C2211yescharacteristic
20#525×C137—21no—
21#525×C137C2212yes—
22C2×C22⋊Q8×C137C2211yescharacteristic, complemented
23C2×#120×C137—21no—
24#518×C137—21no—
25C22×C22⋊C4×C137C2211yescharacteristic
26#485×C137—22no—
27#483×C137C2212yescomplemented
28#480×C137C2212yescomplemented
29#467×C137—22no—
30#465×C137—22no—
31#452×C137—22no—
32#451×C137C2212yescomplemented
33#448×C137C2212yescomplemented
34C2×C22⋊C8×C137C2212yescomplemented
35#397×C137C2211yescharacteristic
36#397×C137C2211yescharacteristic, complemented
37#393×C137C2211yescharacteristic
38#393×C137C2211yescharacteristic, complemented
39#388×C137—21no—
40#388×C137—21no—
41#381×C137—21no—
42#379×C137—21no—
43C4×C22⋊C4×C137C2211yescharacteristic, complemented
44#328×C137C2212yescomplemented
45#328×C137C2212yescomplemented
46#327×C137C2212yescomplemented
47#327×C137C2212yescomplemented
48#323×C137C2211yescharacteristic
49#323×C137C2211yescharacteristic
50#323×C137C2212yescomplemented
51C25×C137D411yescharacteristic
52C2×#41×C137—21no—
53C2×#41×C137D412yes—
54C22×Q8×C137C2311yescharacteristic
55C22×D4×C137—21no—
56C22×D4×C137—21no—
57C22×D4×C137—21no—
58C23×C4×C137D411yescharacteristic
59C23×C4×C137C2311yescharacteristic
60C2×Q16×C137—22no—
61C2×SD16×C137—22no—
62C22×C8×C137—22no—
63#126×C137—22no—
64#126×C137—22no—
65#124×C137—22no—
66#124×C137—22no—
67#123×C137—22no—
68#123×C137—22no—
69#123×C137—22no—
70#123×C137—22no—
71#123×C137—22no—
72C22⋊Q8×C137—21no—
73C22⋊Q8×C137—22no—
74C22⋊Q8×C137—21no—
75C22⋊Q8×C137—22no—
76C22⋊Q8×C137—22no—
77C22⋊Q8×C137—22no—
78C22⋊Q8×C137D412yes—
79C22⋊Q8×C137C2312yes—
80#121×C137—21no—
81#121×C137—22no—
82#121×C137—22no—
83#121×C137—21no—
84#121×C137D412yes—
85#121×C137C2312yes—
86#120×C137—22no—
87#120×C137—22no—
88#120×C137—22no—
89#120×C137—22no—
90#120×C137—22no—
91C4×D4×C137—22no—
92C4×D4×C137—22no—
93C4×D4×C137—22no—
94C4×D4×C137—22no—
95C4×D4×C137—22no—
96C4×D4×C137—22no—
97#117×C137—22no—
98#117×C137—21no—
99#117×C137D412yes—
100C2×C4⋊C4×C137—21no—
101C2×C4⋊C4×C137C2311yescharacteristic
102C2×C22⋊C4×C137—22no—
103C2×C22⋊C4×C137—21no—
104C2×C22⋊C4×C137—21no—
105C2×C22⋊C4×C137—21no—
106C2×C22⋊C4×C137—22no—
107C2×C22⋊C4×C137—22no—
108C2×C22⋊C4×C137—21no—
109C2×C22⋊C4×C137—21no—
110C2×C22⋊C4×C137—21no—
111C2×C22⋊C4×C137—21no—
112C2×C22⋊C4×C137—21no—
113C2×C22⋊C4×C137—21no—
114C2×C22⋊C4×C137D411yescharacteristic
115C2×C22⋊C4×C137D411yescharacteristic
116C2×C22⋊C4×C137C2311yescharacteristic
117C2×C22⋊C4×C137C2311yescharacteristic
118C2×C42×C137—21no—
119#107×C137—22no—
120#106×C137—22no—
121#103×C137—22no—
122#103×C137—22no—
123#103×C137—22no—
124#102×C137—22no—
125C22⋊C8×C137—22no—
126C22⋊C8×C137C2312yes—
127C22⋊C8×C137C2312yes—
128#95×C137—21no—
129#95×C137—21no—
130#95×C137—21no—
131#95×C137—21no—
132#95×C137C2311yescharacteristic
133#95×C137C2311yescharacteristic
134C24×C137—21no—
135C24×C137—21no—
136C24×C137—21no—
137C24×C137—22no—
138C24×C137—41no—
139C24×C137—42no—
140C24×C137—81no—
141C24×C137C2×D411yescharacteristic
142C24×C137C2×D411yescharacteristic
143C24×C137C2×D411yescharacteristic
144#41×C137—82no—
145#41×C137—82no—
146C2×Q8×C137—21no—
147C2×Q8×C137—22no—
148C2×Q8×C137—81no—
149C2×Q8×C137C2×D412yes—
150C2×D4×C137—22no—
151C2×D4×C137—22no—
152C2×D4×C137—22no—
153C2×D4×C137—22no—
154C2×D4×C137—21no—
155C2×D4×C137—22no—
156C2×D4×C137—22no—
157C2×D4×C137—42no—
158C2×D4×C137—42no—
159C2×D4×C137—82no—
160C2×D4×C137—82no—
161C2×D4×C137C2×D412yes—
162C22×C4×C137—21no—
163C22×C4×C137—21no—
164C22×C4×C137—21no—
165C22×C4×C137—21no—
166C22×C4×C137—22no—
167C22×C4×C137—21no—
168C22×C4×C137—22no—
169C22×C4×C137—21no—
170C22×C4×C137—21no—
171C22×C4×C137—21no—
172C22×C4×C137—21no—
173C22×C4×C137—42no—
174C22×C4×C137—81no—
175C22×C4×C137C2×D411yescharacteristic
176C22×C4×C137C2×D411yescharacteristic
177C22×C4×C137C2×D411yescharacteristic
178C22×C4×C137C2×D412yes—
179C22×C4×C137C2×D412yes—
180C22×C4×C137C2411yescharacteristic
181Q16×C137—82no—
182SD16×C137—82no—
183C2×C8×C137—22no—
184C2×C8×C137—22no—
185C2×C8×C137—82no—
186C4⋊C4×C137—22no—
187C4⋊C4×C137—21no—
188C4⋊C4×C137—21no—
189C4⋊C4×C137—22no—
190C4⋊C4×C137—22no—
191C4⋊C4×C137—22no—
192C4⋊C4×C137—22no—
193C4⋊C4×C137—42no—
194C4⋊C4×C137C2×D412yes—
195C4⋊C4×C137C2×D412yes—
196C22⋊C4×C137—22no—
197C22⋊C4×C137—22no—
198C22⋊C4×C137—22no—
199C22⋊C4×C137—22no—
200C22⋊C4×C137—22no—
201C22⋊C4×C137—22no—
202C22⋊C4×C137—22no—
203C22⋊C4×C137—22no—
204C22⋊C4×C137—22no—
205C22⋊C4×C137—22no—
206C22⋊C4×C137—22no—
207C22⋊C4×C137—22no—
208C22⋊C4×C137—22no—
209C22⋊C4×C137—22no—
210C22⋊C4×C137—42no—
211C22⋊C4×C137—42no—
212C22⋊C4×C137—41no—
213C22⋊C4×C137—41no—
214C22⋊C4×C137—42no—
215C22⋊C4×C137—81no—
216C22⋊C4×C137—81no—
217C42×C137—22no—
218C42×C137—22no—
219C42×C137—81no—
220C23×C137—21no—
221C23×C137—21no—
222C23×C137—21no—
223C23×C137—22no—
224C23×C137—21no—
225C23×C137—21no—
226C23×C137—22no—
227C23×C137—21no—
228C23×C137—21no—
229C23×C137—41no—
230C23×C137—42no—
231C23×C137—42no—
232C23×C137—41no—
233C23×C137—41no—
234C23×C137—41no—
235C23×C137—41no—
236C23×C137—42no—
237C23×C137—42no—
238C23×C137—42no—
239C23×C137—81no—
240C23×C137—81no—
241C23×C137—81no—
242C23×C137—81no—
243C23×C137—84no—
244C23×C137—84no—
245C23×C137#12011yescharacteristic
246C23×C137#12011yescharacteristic
247C23×C137#13512yes—
248C23×C137C22×D411yescharacteristic
249Q8×C137—42no—
250Q8×C137—42no—
251Q8×C137—42no—
252Q8×C137—81no—
253D4×C137—42no—
254D4×C137—44no—
255D4×C137—44no—
256D4×C137—42no—
257D4×C137—42no—
258D4×C137—44no—
259D4×C137—82no—
260D4×C137—82no—
261D4×C137—81no—
262C2×C4×C137—22no—
263C2×C4×C137—21no—
264C2×C4×C137—22no—
265C2×C4×C137—22no—
266C2×C4×C137—21no—
267C2×C4×C137—41no—
268C2×C4×C137—42no—
269C2×C4×C137—42no—
270C2×C4×C137—41no—
271C2×C4×C137—42no—
272C2×C4×C137—42no—
273C2×C4×C137—41no—
274C2×C4×C137—41no—
275C2×C4×C137—41no—
276C2×C4×C137—41no—
277C2×C4×C137—41no—
278C2×C4×C137—41no—
279C2×C4×C137—41no—
280C2×C4×C137—41no—
281C2×C4×C137—41no—
282C2×C4×C137—41no—
283C2×C4×C137—41no—
284C2×C4×C137—41no—
285C2×C4×C137—41no—
286C2×C4×C137—41no—
287C2×C4×C137—82no—
288C2×C4×C137—81no—
289C2×C4×C137—81no—
290C2×C4×C137—81no—
291C2×C4×C137—82no—
292C2×C4×C137#12012yes—
293C2×C4×C137C22×D412yes—
294C8×C137—42no—
295C8×C137—42no—
296C22×C137—21no—
297C22×C137—21no—
298C22×C137—21no—
299C22×C137—21no—
300C22×C137—22no—
301C22×C137—21no—
302C22×C137—21no—
303C22×C137—21no—
304C22×C137—42no—
305C22×C137—42no—
306C22×C137—42no—
307C22×C137—42no—
308C22×C137—41no—
309C22×C137—41no—
310C22×C137—42no—
311C22×C137—41no—
312C22×C137—42no—
313C22×C137—41no—
314C22×C137—42no—
315C22×C137—41no—
316C22×C137—81no—
317C22×C137—84no—
318C22×C137—81no—
319C22×C137—84no—
320C22×C137—162no—
321C22×C137#45512yes—
322C22×C137C2×#12011yescharacteristic
323C22×C137C2×#13511yescharacteristic
324C22×C137#57511yescharacteristic
325C4×C137—22no—
326C4×C137—22no—
327C4×C137—42no—
328C4×C137—41no—
329C4×C137—41no—
330C4×C137—42no—
331C4×C137—42no—
332C4×C137—81no—
333C4×C137—81no—
334C4×C137—81no—
335C4×C137—81no—
336C2×C137—21no—
337C2×C137—21no—
338C2×C137—22no—
339C2×C137—41no—
340C2×C137—42no—
341C2×C137—81no—
342C2×C137—82no—
343C2×C137#300211yescharacteristic
344C2×C137C2×#45511yescharacteristic
345C2×C137#302611yescharacteristic
346#18377C13711yesmaximal, characteristic, direct product factor, Sylow
347C137#1837711yescharacteristic, direct product factor, Sylow
348#3490C2×C13711yescharacteristic
349#3190C2×C13712yescomplemented
350#2561C2×C13711yescharacteristic, complemented
351#1612C2×C13712yescomplemented
352#1608C2×C13711yescharacteristic, complemented
353#1607C2×C13711yescharacteristic, complemented
354#1606C2×C13712yescomplemented
355#1602C2×C13711yescharacteristic, complemented
356#1601C2×C13711yescharacteristic, complemented
357#1501C2×C13712yescomplemented
358C2×#323C2×C13711yescharacteristic, complemented
359#551—22no—
360#551—22no—
361#546—22no—
362#546—22no—
363#543C22×C13711yescharacteristic
364#538—21no—
365#538C22×C13712yes—
366#534C22×C13711yescharacteristic
367#525—21no—
368#525C22×C13712yes—
369C2×C22⋊Q8C22×C13711yescharacteristic, complemented
370C2×#120—21no—
371#518—21no—
372C22×C22⋊C4C22×C13711yescharacteristic
373#485—22no—
374#483C22×C13712yescomplemented
375#480C22×C13712yescomplemented
376#467—22no—
377#465—22no—
378#452—22no—
379#451C22×C13712yescomplemented
380#448C22×C13712yescomplemented
381C2×C22⋊C8C22×C13712yescomplemented
382#397C22×C13711yescharacteristic
383#397C22×C13711yescharacteristic, complemented
384#393C22×C13711yescharacteristic
385#393C22×C13711yescharacteristic, complemented
386#388—21no—
387#388—21no—
388#381—21no—
389#379—21no—
390C4×C22⋊C4C22×C13711yescharacteristic, complemented
391#328C22×C13712yescomplemented
392#328C22×C13712yescomplemented
393#327C22×C13712yescomplemented
394#327C22×C13712yescomplemented
395#323C22×C13711yescharacteristic
396#323C22×C13711yescharacteristic
397#323C22×C13712yescomplemented
398C25D4×C13711yescharacteristic
399C2×#41—21no—
400C2×#41D4×C13712yes—
401C22×Q8C23×C13711yescharacteristic
402C22×D4—21no—
403C22×D4—21no—
404C22×D4—21no—
405C23×C4D4×C13711yescharacteristic
406C23×C4C23×C13711yescharacteristic
407C2×Q16—22no—
408C2×SD16—22no—
409C22×C8—22no—
410#126—22no—
411#126—22no—
412#124—22no—
413#124—22no—
414#123—22no—
415#123—22no—
416#123—22no—
417#123—22no—
418#123—22no—
419C22⋊Q8—21no—
420C22⋊Q8—22no—
421C22⋊Q8—21no—
422C22⋊Q8—22no—
423C22⋊Q8—22no—
424C22⋊Q8—22no—
425C22⋊Q8D4×C13712yes—
426C22⋊Q8C23×C13712yes—
427#121—21no—
428#121—22no—
429#121—22no—
430#121—21no—
431#121D4×C13712yes—
432#121C23×C13712yes—
433#120—22no—
434#120—22no—
435#120—22no—
436#120—22no—
437#120—22no—
438C4×D4—22no—
439C4×D4—22no—
440C4×D4—22no—
441C4×D4—22no—
442C4×D4—22no—
443C4×D4—22no—
444#117—22no—
445#117—21no—
446#117D4×C13712yes—
447C2×C4⋊C4—21no—
448C2×C4⋊C4C23×C13711yescharacteristic
449C2×C22⋊C4—22no—
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—22no—
454C2×C22⋊C4—22no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4D4×C13711yescharacteristic
462C2×C22⋊C4D4×C13711yescharacteristic
463C2×C22⋊C4C23×C13711yescharacteristic
464C2×C22⋊C4C23×C13711yescharacteristic
465C2×C42—21no—
466#107—22no—
467#106—22no—
468#103—22no—
469#103—22no—
470#103—22no—
471#102—22no—
472C22⋊C8—22no—
473C22⋊C8C23×C13712yes—
474C22⋊C8C23×C13712yes—
475#95—21no—
476#95—21no—
477#95—21no—
478#95—21no—
479#95C23×C13711yescharacteristic
480#95C23×C13711yescharacteristic
481C24—21no—
482C24—21no—
483C24—21no—
484C24—22no—
485C24—41no—
486C24—42no—
487C24—81no—
488C24C2×D4×C13711yescharacteristic
489C24C2×D4×C13711yescharacteristic
490C24C2×D4×C13711yescharacteristic
491#41—82no—
492#41—82no—
493C2×Q8—21no—
494C2×Q8—22no—
495C2×Q8—81no—
496C2×Q8C2×D4×C13712yes—
497C2×D4—22no—
498C2×D4—22no—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—21no—
502C2×D4—22no—
503C2×D4—22no—
504C2×D4—42no—
505C2×D4—42no—
506C2×D4—82no—
507C2×D4—82no—
508C2×D4C2×D4×C13712yes—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—22no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—42no—
521C22×C4—81no—
522C22×C4C2×D4×C13711yescharacteristic
523C22×C4C2×D4×C13711yescharacteristic
524C22×C4C2×D4×C13711yescharacteristic
525C22×C4C2×D4×C13712yes—
526C22×C4C2×D4×C13712yes—
527C22×C4C24×C13711yescharacteristic
528Q16—82no—
529SD16—82no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—82no—
533C4⋊C4—22no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—42no—
541C4⋊C4C2×D4×C13712yes—
542C4⋊C4C2×D4×C13712yes—
543C22⋊C4—22no—
544C22⋊C4—22no—
545C22⋊C4—22no—
546C22⋊C4—22no—
547C22⋊C4—22no—
548C22⋊C4—22no—
549C22⋊C4—22no—
550C22⋊C4—22no—
551C22⋊C4—22no—
552C22⋊C4—22no—
553C22⋊C4—22no—
554C22⋊C4—22no—
555C22⋊C4—22no—
556C22⋊C4—22no—
557C22⋊C4—42no—
558C22⋊C4—42no—
559C22⋊C4—41no—
560C22⋊C4—41no—
561C22⋊C4—42no—
562C22⋊C4—81no—
563C22⋊C4—81no—
564C42—22no—
565C42—22no—
566C42—81no—
567C23—22no—
568C23—21no—
569C23—21no—
570C23—21no—
571C23—21no—
572C23—21no—
573C23—22no—
574C23—21no—
575C23—21no—
576C23—41no—
577C23—42no—
578C23—42no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—42no—
584C23—42no—
585C23—42no—
586C23—81no—
587C23—81no—
588C23—81no—
589C23—81no—
590C23—84no—
591C23—84no—
592C23#120×C13711yescharacteristic
593C23#120×C13711yescharacteristic
594C23#135×C13712yes—
595C23C22×D4×C13711yescharacteristic
596Q8—42no—
597Q8—42no—
598Q8—42no—
599Q8—81no—
600D4—42no—
601D4—44no—
602D4—44no—
603D4—44no—
604D4—42no—
605D4—42no—
606D4—82no—
607D4—82no—
608D4—81no—
609C2×C4—22no—
610C2×C4—21no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—21no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—42no—
617C2×C4—41no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—82no—
635C2×C4—81no—
636C2×C4—81no—
637C2×C4—81no—
638C2×C4—82no—
639C2×C4#120×C13712yes—
640C2×C4C22×D4×C13712yes—
641C8—42no—
642C8—42no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—21no—
647C22—22no—
648C22—21no—
649C22—21no—
650C22—21no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—41no—
656C22—41no—
657C22—42no—
658C22—41no—
659C22—42no—
660C22—41no—
661C22—42no—
662C22—41no—
663C22—81no—
664C22—84no—
665C22—81no—
666C22—84no—
667C22—162no—
668C22#455×C13712yes—
669C22C2×#120×C13711yescharacteristic
670C22C2×#135×C13711yescharacteristic
671C22#575×C13711yescharacteristic
672C4—22no—
673C4—22no—
674C4—42no—
675C4—41no—
676C4—41no—
677C4—42no—
678C4—42no—
679C4—81no—
680C4—81no—
681C4—81no—
682C4—81no—
683C2—21no—
684C2—21no—
685C2—22no—
686C2—41no—
687C2—42no—
688C2—81no—
689C2—82no—
690C2#3002×C13711yescharacteristic
691C2C2×#455×C13711yescharacteristic
692C2#3026×C13711yescharacteristic
subgroupG/H
center, socleC22×C137C2×#120
commutator, Frattini, cosocleC22×C4C24×C137
prime radical#3490×C137C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C137 ◁ C23×C4×C137 ◁ G

Complements

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

NH ≅ G/Ntype
2. #3190×C137C2semidirect
3. #2561×C137C2semidirect
4. #1612×C137C2semidirect
5. #1608×C137C2semidirect
6. #1607×C137C2semidirect
7. #1606×C137C2semidirect
8. #1602×C137C2semidirect
9. #1601×C137C2semidirect
10. #1501×C137C2semidirect
11. C2×#323×C137C2semidirect
22. C2×C22⋊Q8×C137C22semidirect
27. #483×C137C22semidirect
28. #480×C137C22semidirect
32. #451×C137C22semidirect
33. #448×C137C22semidirect
34. C2×C22⋊C8×C137C22semidirect
36. #397×C137C22semidirect
38. #393×C137C22semidirect
43. C4×C22⋊C4×C137C22semidirect
44. #328×C137C22semidirect
45. #328×C137C22semidirect
46. #327×C137C22semidirect
47. #327×C137C22semidirect
50. #323×C137C22semidirect
346. #18377C137direct (N × H)
347. C137#18377direct (N × H)
349. #3190C2×C137semidirect
350. #2561C2×C137semidirect
351. #1612C2×C137semidirect
352. #1608C2×C137semidirect
353. #1607C2×C137semidirect
354. #1606C2×C137semidirect
355. #1602C2×C137semidirect
356. #1601C2×C137semidirect
357. #1501C2×C137semidirect
358. C2×#323C2×C137semidirect
369. C2×C22⋊Q8C22×C137semidirect
374. #483C22×C137semidirect
375. #480C22×C137semidirect
379. #451C22×C137semidirect
380. #448C22×C137semidirect
381. C2×C22⋊C8C22×C137semidirect
383. #397C22×C137semidirect
385. #393C22×C137semidirect
390. C4×C22⋊C4C22×C137semidirect
391. #328C22×C137semidirect
392. #328C22×C137semidirect
393. #327C22×C137semidirect
394. #327C22×C137semidirect
397. #323C22×C137semidirect

Maximal subgroups

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

subgroupindex
#3490×C1372
#3190×C1372
#2561×C1372
#1612×C1372
#1608×C1372
#1607×C1372
#1606×C1372
#1602×C1372
#1601×C1372
#1501×C1372
C2×#323×C1372
#18377137