Finite Group Databasebeta

← C137×#18450 #46867836

Subgroups — C137×#18450 #46867836

Order 35072.

1096 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3537×C137C211yesmaximal, characteristic, complemented
2#3194×C137C211yesmaximal, characteristic, complemented
3#3186×C137C211yesmaximal, characteristic, complemented
4#2815×C137C211yesmaximal, characteristic, complemented
5#1612×C137C212yesmaximal, complemented
6#1607×C137C212yesmaximal, complemented
7#1600×C137C212yesmaximal, complemented
8#1595×C137C212yesmaximal, complemented
9#1516×C137C211yesmaximal, characteristic, complemented
10#1510×C137C211yesmaximal, characteristic, complemented
11#1471×C137C211yesmaximal, characteristic, complemented
12#560×C137—22no—
13#553×C137—21no—
14#553×C137—21no—
15D42×C137—22no—
16D42×C137—21no—
17D42×C137—21no—
18#540×C137—21no—
19#538×C137—21no—
20#538×C137C2212yes—
21#535×C137—21no—
22#534×C137—21no—
23#534×C137C2212yes—
24#525×C137C2211yescharacteristic
25C2×#121×C137C2211yescharacteristic
26C2×#121×C137C2211yescharacteristic
27C2×#121×C137C2211yescharacteristic, complemented
28#483×C137C2211yescharacteristic, complemented
29#482×C137—21no—
30#480×C137—21no—
31#480×C137C2211yescharacteristic, complemented
32#480×C137C2212yescomplemented
33#469×C137—21no—
34#468×C137—21no—
35#466×C137—22no—
36#450×C137C2211yescharacteristic, complemented
37#449×C137—21no—
38#447×C137—21no—
39#447×C137C2211yescharacteristic, complemented
40#447×C137C2212yescomplemented
41#407×C137C2211yescharacteristic, complemented
42C2×C22⋊C8×C137C2211yescharacteristic, complemented
43#397×C137—21no—
44#397×C137C2212yescomplemented
45#392×C137—21no—
46#392×C137—22no—
47#392×C137C2212yescomplemented
48#381×C137C2211yescharacteristic, complemented
49#328×C137C2212yescomplemented
50#327×C137C2212yescomplemented
51#327×C137C2212yescomplemented
52#327×C137C2212yescomplemented
53#323×C137C2212yescomplemented
54#323×C137C2212yescomplemented
55C2×#41×C137D411yescharacteristic, complemented
56C22×D4×C137—22no—
57C22×D4×C137—21no—
58C22×D4×C137—21no—
59C22×D4×C137—22no—
60C22×D4×C137—21no—
61C22×D4×C137—22no—
62C22×D4×C137D412yes—
63C22×D4×C137D411yescharacteristic
64C22×D4×C137D411yescharacteristic, complemented
65C22×D4×C137C2311yescharacteristic
66C23×C4×C137C2311yescharacteristic
67C2×SD16×C137—21no—
68C2×D8×C137—22no—
69C2×D8×C137—21no—
70C2×M16×C137—21no—
71C22×C8×C137—21no—
72#127×C137—22no—
73#127×C137—21no—
74#126×C137—22no—
75#126×C137—22no—
76#125×C137—21no—
77#124×C137—22no—
78#123×C137—22no—
79#123×C137—21no—
80#123×C137—22no—
81#123×C137—22no—
82#123×C137—22no—
83C22⋊Q8×C137D411yescharacteristic, complemented
84C22⋊Q8×C137C2311yescharacteristic
85#121×C137—22no—
86#121×C137—21no—
87#121×C137—21no—
88#121×C137—22no—
89#121×C137—22no—
90#121×C137—22no—
91#121×C137—22no—
92#121×C137—21no—
93#121×C137—21no—
94#121×C137—21no—
95#121×C137—21no—
96#121×C137—21no—
97#121×C137—21no—
98#121×C137—22no—
99#121×C137—21no—
100#121×C137—21no—
101#121×C137—21no—
102#121×C137—21no—
103#121×C137D412yescomplemented
104#121×C137D411yescharacteristic, complemented
105#121×C137C2312yes—
106#121×C137C2311yescharacteristic
107#120×C137—22no—
108#120×C137—22no—
109#120×C137—22no—
110#120×C137—21no—
111#120×C137—22no—
112#120×C137—22no—
113#120×C137—22no—
114C4×D4×C137—22no—
115C4×D4×C137—21no—
116C4×D4×C137—21no—
117C4×D4×C137—21no—
118C4×D4×C137—21no—
119C4×D4×C137—22no—
120#117×C137—21no—
121#117×C137D411yescharacteristic, complemented
122C2×C4⋊C4×C137D411yescharacteristic
123C2×C4⋊C4×C137D411yescharacteristic, complemented
124C2×C4⋊C4×C137C2311yescharacteristic
125C2×C22⋊C4×C137—21no—
126C2×C22⋊C4×C137—21no—
127C2×C22⋊C4×C137—21no—
128C2×C22⋊C4×C137—22no—
129C2×C22⋊C4×C137—22no—
130C2×C22⋊C4×C137C2312yes—
131#107×C137—22no—
132#107×C137—21no—
133#106×C137—21no—
134#103×C137—21no—
135#102×C137—22no—
136#102×C137—21no—
137#102×C137—22no—
138#102×C137—21no—
139#102×C137—21no—
140C22⋊C8×C137—21no—
141C22⋊C8×C137—21no—
142C22⋊C8×C137C2312yes—
143C22⋊C8×C137C2311yescharacteristic
144C22⋊C8×C137C2311yescharacteristic
145#95×C137—21no—
146#95×C137—22no—
147#95×C137C2312yes—
148C24×C137—22no—
149C24×C137—21no—
150C24×C137—21no—
151C24×C137C2×D412yes—
152C24×C137C2×D411yescharacteristic
153#41×C137—81no—
154C2×Q8×C137C2×D411yescharacteristic
155C2×D4×C137—22no—
156C2×D4×C137—21no—
157C2×D4×C137—21no—
158C2×D4×C137—22no—
159C2×D4×C137—22no—
160C2×D4×C137—22no—
161C2×D4×C137—22no—
162C2×D4×C137—22no—
163C2×D4×C137—22no—
164C2×D4×C137—21no—
165C2×D4×C137—22no—
166C2×D4×C137—22no—
167C2×D4×C137—21no—
168C2×D4×C137—21no—
169C2×D4×C137—21no—
170C2×D4×C137—21no—
171C2×D4×C137—21no—
172C2×D4×C137—41no—
173C2×D4×C137—41no—
174C2×D4×C137—81no—
175C2×D4×C137—81no—
176C2×D4×C137—82no—
177C2×D4×C137—81no—
178C2×D4×C137—82no—
179C2×D4×C137—82no—
180C2×D4×C137—82no—
181C2×D4×C137—82no—
182C2×D4×C137—82no—
183C2×D4×C137—82no—
184C2×D4×C137—82no—
185C2×D4×C137—82no—
186C2×D4×C137—84no—
187C2×D4×C137C2×D411yescharacteristic
188C2×D4×C137C2×D412yes—
189C22×C4×C137—22no—
190C22×C4×C137—22no—
191C22×C4×C137—21no—
192C22×C4×C137—21no—
193C22×C4×C137—22no—
194C22×C4×C137—21no—
195C22×C4×C137—81no—
196C22×C4×C137C2×D412yes—
197C22×C4×C137C2×D411yescharacteristic
198C22×C4×C137C2×D411yescharacteristic
199C22×C4×C137C2×D411yescharacteristic
200C22×C4×C137C2×D411yescharacteristic
201C22×C4×C137C2×D411yescharacteristic
202C22×C4×C137C2411yescharacteristic
203SD16×C137—81no—
204D8×C137—82no—
205D8×C137—81no—
206M16×C137—81no—
207C2×C8×C137—22no—
208C2×C8×C137—21no—
209C2×C8×C137—21no—
210C2×C8×C137—81no—
211C4⋊C4×C137—22no—
212C4⋊C4×C137—22no—
213C4⋊C4×C137—21no—
214C4⋊C4×C137—21no—
215C4⋊C4×C137—21no—
216C4⋊C4×C137—21no—
217C4⋊C4×C137—21no—
218C4⋊C4×C137—21no—
219C4⋊C4×C137—21no—
220C4⋊C4×C137C2×D411yescharacteristic
221C4⋊C4×C137C2×D412yes—
222C4⋊C4×C137C2×D411yescharacteristic
223C22⋊C4×C137—22no—
224C22⋊C4×C137—22no—
225C22⋊C4×C137—22no—
226C22⋊C4×C137—22no—
227C22⋊C4×C137—22no—
228C22⋊C4×C137—21no—
229C22⋊C4×C137—21no—
230C22⋊C4×C137—21no—
231C22⋊C4×C137—22no—
232C22⋊C4×C137—21no—
233C22⋊C4×C137—22no—
234C22⋊C4×C137—22no—
235C22⋊C4×C137—22no—
236C22⋊C4×C137—21no—
237C22⋊C4×C137—41no—
238C22⋊C4×C137—41no—
239C22⋊C4×C137—82no—
240C22⋊C4×C137—82no—
241C22⋊C4×C137—81no—
242C42×C137—22no—
243C42×C137—21no—
244C23×C137—22no—
245C23×C137—22no—
246C23×C137—22no—
247C23×C137—21no—
248C23×C137—22no—
249C23×C137—22no—
250C23×C137—41no—
251C23×C137—41no—
252C23×C137—42no—
253C23×C137—42no—
254C23×C137—42no—
255C23×C137—41no—
256C23×C137—41no—
257C23×C137—42no—
258C23×C137—41no—
259C23×C137—42no—
260C23×C137—81no—
261C23×C137—81no—
262C23×C137—82no—
263C23×C137—82no—
264C23×C137—82no—
265C23×C137#12011yescharacteristic
266C23×C137#12011yescharacteristic
267C23×C137C22×D411yescharacteristic
268Q8×C137—41no—
269D4×C137—42no—
270D4×C137—41no—
271D4×C137—42no—
272D4×C137—42no—
273D4×C137—42no—
274D4×C137—41no—
275D4×C137—41no—
276D4×C137—44no—
277D4×C137—42no—
278D4×C137—42no—
279D4×C137—42no—
280D4×C137—42no—
281D4×C137—81no—
282D4×C137—82no—
283D4×C137—82no—
284D4×C137—81no—
285D4×C137—82no—
286D4×C137—82no—
287D4×C137—82no—
288D4×C137—82no—
289D4×C137—82no—
290D4×C137—82no—
291D4×C137—82no—
292D4×C137—88no—
293C2×C4×C137—21no—
294C2×C4×C137—22no—
295C2×C4×C137—22no—
296C2×C4×C137—21no—
297C2×C4×C137—21no—
298C2×C4×C137—41no—
299C2×C4×C137—41no—
300C2×C4×C137—41no—
301C2×C4×C137—41no—
302C2×C4×C137—41no—
303C2×C4×C137—41no—
304C2×C4×C137—42no—
305C2×C4×C137—42no—
306C2×C4×C137—42no—
307C2×C4×C137—42no—
308C2×C4×C137—41no—
309C2×C4×C137—42no—
310C2×C4×C137—42no—
311C2×C4×C137—81no—
312C2×C4×C137—82no—
313C2×C4×C137—82no—
314C2×C4×C137#12011yescharacteristic
315C2×C4×C137#12011yescharacteristic
316C2×C4×C137C22×D411yescharacteristic
317C2×C4×C137C22×D411yescharacteristic
318C8×C137—42no—
319C8×C137—41no—
320C8×C137—41no—
321C22×C137—21no—
322C22×C137—21no—
323C22×C137—21no—
324C22×C137—21no—
325C22×C137—21no—
326C22×C137—21no—
327C22×C137—21no—
328C22×C137—21no—
329C22×C137—42no—
330C22×C137—42no—
331C22×C137—41no—
332C22×C137—42no—
333C22×C137—42no—
334C22×C137—41no—
335C22×C137—41no—
336C22×C137—42no—
337C22×C137—42no—
338C22×C137—82no—
339C22×C137—82no—
340C22×C137—82no—
341C22×C137—82no—
342C22×C137—82no—
343C22×C137—81no—
344C22×C137—81no—
345C22×C137—81no—
346C22×C137—162no—
347C22×C137—164no—
348C22×C137C2×#12011yescharacteristic
349C22×C137#57612yes—
350C4×C137—21no—
351C4×C137—21no—
352C4×C137—21no—
353C4×C137—21no—
354C4×C137—42no—
355C4×C137—41no—
356C4×C137—42no—
357C4×C137—41no—
358C4×C137—41no—
359C4×C137—82no—
360C4×C137—81no—
361C2×C137—22no—
362C2×C137—41no—
363C2×C137—41no—
364C2×C137—82no—
365C2×C137—82no—
366C2×C137—81no—
367C2×C137—161no—
368C2×C137#300811yescharacteristic
369C2×C137#301911yescharacteristic
370C2×C137#302611yescharacteristic
371#18450C13711yesmaximal, characteristic, direct product factor, Sylow
372C137#1845011yescharacteristic, direct product factor, Sylow
373#3537C2×C13711yescharacteristic, complemented
374#3194C2×C13711yescharacteristic, complemented
375#3186C2×C13711yescharacteristic, complemented
376#2815C2×C13711yescharacteristic, complemented
377#1612C2×C13712yescomplemented
378#1607C2×C13712yescomplemented
379#1600C2×C13712yescomplemented
380#1595C2×C13712yescomplemented
381#1516C2×C13711yescharacteristic, complemented
382#1510C2×C13711yescharacteristic, complemented
383#1471C2×C13711yescharacteristic, complemented
384#560—22no—
385#553—21no—
386#553—21no—
387D42—22no—
388D42—21no—
389D42—21no—
390#540—21no—
391#538—21no—
392#538C22×C13712yes—
393#535—21no—
394#534—21no—
395#534C22×C13712yes—
396#525C22×C13711yescharacteristic
397C2×#121C22×C13711yescharacteristic
398C2×#121C22×C13711yescharacteristic
399C2×#121C22×C13711yescharacteristic, complemented
400#483C22×C13711yescharacteristic, complemented
401#482—21no—
402#480—21no—
403#480C22×C13711yescharacteristic, complemented
404#480C22×C13712yescomplemented
405#469—21no—
406#468—21no—
407#466—22no—
408#450C22×C13711yescharacteristic, complemented
409#449—21no—
410#447—21no—
411#447C22×C13711yescharacteristic, complemented
412#447C22×C13712yescomplemented
413#407C22×C13711yescharacteristic, complemented
414C2×C22⋊C8C22×C13711yescharacteristic, complemented
415#397—21no—
416#397C22×C13712yescomplemented
417#392—21no—
418#392—22no—
419#392C22×C13712yescomplemented
420#381C22×C13711yescharacteristic, complemented
421#328C22×C13712yescomplemented
422#327C22×C13712yescomplemented
423#327C22×C13712yescomplemented
424#327C22×C13712yescomplemented
425#323C22×C13712yescomplemented
426#323C22×C13712yescomplemented
427C2×#41D4×C13711yescharacteristic, complemented
428C22×D4—22no—
429C22×D4—21no—
430C22×D4—21no—
431C22×D4—22no—
432C22×D4—21no—
433C22×D4—22no—
434C22×D4D4×C13712yes—
435C22×D4D4×C13711yescharacteristic
436C22×D4D4×C13711yescharacteristic, complemented
437C22×D4C23×C13711yescharacteristic
438C23×C4C23×C13711yescharacteristic
439C2×SD16—21no—
440C2×D8—22no—
441C2×D8—21no—
442C2×M16—21no—
443C22×C8—21no—
444#127—22no—
445#127—21no—
446#126—22no—
447#126—22no—
448#125—21no—
449#124—22no—
450#123—22no—
451#123—21no—
452#123—22no—
453#123—22no—
454#123—22no—
455C22⋊Q8D4×C13711yescharacteristic, complemented
456C22⋊Q8C23×C13711yescharacteristic
457#121—22no—
458#121—21no—
459#121—21no—
460#121—22no—
461#121—22no—
462#121—22no—
463#121—22no—
464#121—21no—
465#121—21no—
466#121—21no—
467#121—21no—
468#121—21no—
469#121—21no—
470#121—22no—
471#121—21no—
472#121—21no—
473#121—21no—
474#121—21no—
475#121D4×C13712yescomplemented
476#121D4×C13711yescharacteristic, complemented
477#121C23×C13712yes—
478#121C23×C13711yescharacteristic
479#120—22no—
480#120—22no—
481#120—22no—
482#120—21no—
483#120—22no—
484#120—22no—
485#120—22no—
486C4×D4—22no—
487C4×D4—21no—
488C4×D4—21no—
489C4×D4—21no—
490C4×D4—21no—
491C4×D4—22no—
492#117—21no—
493#117D4×C13711yescharacteristic, complemented
494C2×C4⋊C4D4×C13711yescharacteristic
495C2×C4⋊C4D4×C13711yescharacteristic, complemented
496C2×C4⋊C4C23×C13711yescharacteristic
497C2×C22⋊C4—21no—
498C2×C22⋊C4—21no—
499C2×C22⋊C4—21no—
500C2×C22⋊C4—22no—
501C2×C22⋊C4—22no—
502C2×C22⋊C4C23×C13712yes—
503#107—22no—
504#107—21no—
505#106—21no—
506#103—21no—
507#102—22no—
508#102—21no—
509#102—22no—
510#102—21no—
511#102—21no—
512C22⋊C8—21no—
513C22⋊C8—21no—
514C22⋊C8C23×C13711yescharacteristic
515C22⋊C8C23×C13711yescharacteristic
516C22⋊C8C23×C13712yes—
517#95—21no—
518#95—22no—
519#95C23×C13712yes—
520C24—22no—
521C24—21no—
522C24—21no—
523C24C2×D4×C13712yes—
524C24C2×D4×C13711yescharacteristic
525#41—81no—
526C2×Q8C2×D4×C13711yescharacteristic
527C2×D4—22no—
528C2×D4—21no—
529C2×D4—21no—
530C2×D4—22no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—21no—
537C2×D4—22no—
538C2×D4—22no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—21no—
544C2×D4—41no—
545C2×D4—41no—
546C2×D4—81no—
547C2×D4—81no—
548C2×D4—82no—
549C2×D4—81no—
550C2×D4—82no—
551C2×D4—82no—
552C2×D4—82no—
553C2×D4—82no—
554C2×D4—82no—
555C2×D4—82no—
556C2×D4—82no—
557C2×D4—82no—
558C2×D4—84no—
559C2×D4C2×D4×C13711yescharacteristic
560C2×D4C2×D4×C13712yes—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—22no—
566C22×C4—21no—
567C22×C4—81no—
568C22×C4C2×D4×C13712yes—
569C22×C4C2×D4×C13711yescharacteristic
570C22×C4C2×D4×C13711yescharacteristic
571C22×C4C2×D4×C13711yescharacteristic
572C22×C4C2×D4×C13711yescharacteristic
573C22×C4C2×D4×C13711yescharacteristic
574C22×C4C24×C13711yescharacteristic
575SD16—81no—
576D8—82no—
577D8—81no—
578M16—81no—
579C2×C8—22no—
580C2×C8—21no—
581C2×C8—21no—
582C2×C8—81no—
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4C2×D4×C13711yescharacteristic
593C4⋊C4C2×D4×C13712yes—
594C4⋊C4C2×D4×C13711yescharacteristic
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—21no—
601C22⋊C4—21no—
602C22⋊C4—21no—
603C22⋊C4—22no—
604C22⋊C4—21no—
605C22⋊C4—22no—
606C22⋊C4—22no—
607C22⋊C4—22no—
608C22⋊C4—21no—
609C22⋊C4—41no—
610C22⋊C4—41no—
611C22⋊C4—82no—
612C22⋊C4—82no—
613C22⋊C4—81no—
614C42—22no—
615C42—21no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—21no—
620C23—22no—
621C23—22no—
622C23—41no—
623C23—41no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—41no—
628C23—41no—
629C23—42no—
630C23—41no—
631C23—42no—
632C23—81no—
633C23—81no—
634C23—82no—
635C23—82no—
636C23—82no—
637C23#120×C13711yescharacteristic
638C23#120×C13711yescharacteristic
639C23C22×D4×C13711yescharacteristic
640Q8—41no—
641D4—42no—
642D4—41no—
643D4—42no—
644D4—42no—
645D4—42no—
646D4—41no—
647D4—41no—
648D4—44no—
649D4—42no—
650D4—42no—
651D4—42no—
652D4—42no—
653D4—81no—
654D4—82no—
655D4—82no—
656D4—81no—
657D4—82no—
658D4—82no—
659D4—82no—
660D4—82no—
661D4—82no—
662D4—82no—
663D4—82no—
664D4—88no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—81no—
684C2×C4—82no—
685C2×C4—82no—
686C2×C4#120×C13711yescharacteristic
687C2×C4#120×C13711yescharacteristic
688C2×C4C22×D4×C13711yescharacteristic
689C2×C4C22×D4×C13711yescharacteristic
690C8—42no—
691C8—41no—
692C8—41no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—21no—
698C22—21no—
699C22—21no—
700C22—21no—
701C22—42no—
702C22—42no—
703C22—41no—
704C22—42no—
705C22—42no—
706C22—41no—
707C22—41no—
708C22—42no—
709C22—42no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—82no—
714C22—82no—
715C22—81no—
716C22—81no—
717C22—81no—
718C22—162no—
719C22—164no—
720C22C2×#120×C13711yescharacteristic
721C22#576×C13712yes—
722C4—21no—
723C4—21no—
724C4—21no—
725C4—21no—
726C4—42no—
727C4—41no—
728C4—42no—
729C4—41no—
730C4—41no—
731C4—82no—
732C4—81no—
733C2—22no—
734C2—41no—
735C2—41no—
736C2—82no—
737C2—82no—
738C2—81no—
739C2—161no—
740C2#3008×C13711yescharacteristic
741C2#3019×C13711yescharacteristic
742C2#3026×C13711yescharacteristic
subgroupG/H
center, socleC22×C137C2×#120
commutator, Frattini, cosocleC22×C4C24×C137
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
1. #3537×C137C2semidirect
2. #3194×C137C2semidirect
3. #3186×C137C2semidirect
4. #2815×C137C2semidirect
5. #1612×C137C2semidirect
6. #1607×C137C2semidirect
7. #1600×C137C2semidirect
8. #1595×C137C2semidirect
9. #1516×C137C2semidirect
10. #1510×C137C2semidirect
11. #1471×C137C2semidirect
27. C2×#121×C137C22semidirect
28. #483×C137C22semidirect
31. #480×C137C22semidirect
32. #480×C137C22semidirect
36. #450×C137C22semidirect
39. #447×C137C22semidirect
40. #447×C137C22semidirect
41. #407×C137C22semidirect
42. C2×C22⋊C8×C137C22semidirect
44. #397×C137C22semidirect
47. #392×C137C22semidirect
48. #381×C137C22semidirect
49. #328×C137C22semidirect
50. #327×C137C22semidirect
51. #327×C137C22semidirect
52. #327×C137C22semidirect
53. #323×C137C22semidirect
54. #323×C137C22semidirect
55. C2×#41×C137D4semidirect
64. C22×D4×C137D4semidirect
83. C22⋊Q8×C137D4semidirect
103. #121×C137D4semidirect
104. #121×C137D4semidirect
121. #117×C137D4semidirect
123. C2×C4⋊C4×C137D4semidirect
371. #18450C137direct (N × H)
372. C137#18450direct (N × H)
373. #3537C2×C137semidirect
374. #3194C2×C137semidirect
375. #3186C2×C137semidirect
376. #2815C2×C137semidirect
377. #1612C2×C137semidirect
378. #1607C2×C137semidirect
379. #1600C2×C137semidirect
380. #1595C2×C137semidirect
381. #1516C2×C137semidirect
382. #1510C2×C137semidirect
383. #1471C2×C137semidirect
399. C2×#121C22×C137semidirect
400. #483C22×C137semidirect
403. #480C22×C137semidirect
404. #480C22×C137semidirect
408. #450C22×C137semidirect
411. #447C22×C137semidirect
412. #447C22×C137semidirect
413. #407C22×C137semidirect
414. C2×C22⋊C8C22×C137semidirect
416. #397C22×C137semidirect
419. #392C22×C137semidirect
420. #381C22×C137semidirect
421. #328C22×C137semidirect
422. #327C22×C137semidirect
423. #327C22×C137semidirect
424. #327C22×C137semidirect
425. #323C22×C137semidirect
426. #323C22×C137semidirect
427. C2×#41D4×C137semidirect
436. C22×D4D4×C137semidirect
455. C22⋊Q8D4×C137semidirect
475. #121D4×C137semidirect
476. #121D4×C137semidirect
493. #117D4×C137semidirect
495. C2×C4⋊C4D4×C137semidirect

Maximal subgroups

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

subgroupindex
#3537×C1372
#3194×C1372
#3186×C1372
#2815×C1372
#1612×C1372
#1607×C1372
#1600×C1372
#1595×C1372
#1516×C1372
#1510×C1372
#1471×C1372
#18450137