Finite Group Databasebeta

← C137×#19097 #46868483

Subgroups — C137×#19097 #46868483

Order 35072.

830 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#3567×C137C211yesmaximal, characteristic
2#3239×C137C211yesmaximal, characteristic, complemented
3#3238×C137C211yesmaximal, characteristic, complemented
4#3218×C137C211yesmaximal, characteristic, complemented
5#1663×C137C212yesmaximal, complemented
6#1662×C137C212yesmaximal, complemented
7#1661×C137C212yesmaximal, complemented
8#1661×C137C212yesmaximal, complemented
9#1535×C137C211yesmaximal, characteristic, complemented
10#1535×C137C211yesmaximal, characteristic, complemented
11#1535×C137C211yesmaximal, characteristic, complemented
12#564×C137C2211yescharacteristic
13#562×C137C2211yescharacteristic
14#562×C137C2211yescharacteristic
15#562×C137C2211yescharacteristic
16#553×C137—21no—
17#553×C137—21no—
18#553×C137—21no—
19#552×C137—21no—
20#552×C137—21no—
21#552×C137—21no—
22#540×C137—21no—
23#540×C137—21no—
24#540×C137—21no—
25#539×C137—21no—
26#539×C137—21no—
27#539×C137—21no—
28C2×C4⋊Q8×C137C2211yescharacteristic
29#529×C137C2211yescharacteristic
30#529×C137C2211yescharacteristic
31#529×C137C2211yescharacteristic
32#501×C137C2212yes—
33#501×C137C2212yes—
34#497×C137C2212yes—
35#491×C137C2212yes—
36#489×C137C2212yes—
37#489×C137C2212yes—
38#484×C137—21no—
39#483×C137—21no—
40#481×C137—21no—
41#480×C137—21no—
42#477×C137—21no—
43#476×C137—21no—
44#475×C137—21no—
45#474×C137—21no—
46#462×C137—21no—
47#461×C137—21no—
48#451×C137—21no—
49#448×C137—21no—
50#432×C137C2211yescharacteristic
51#432×C137C2211yescharacteristic
52#432×C137C2211yescharacteristic
53#330×C137C2212yes—
54#330×C137C2212yes—
55#330×C137C2212yes—
56#329×C137C2212yes—
57#329×C137C2212yes—
58#329×C137C2212yes—
59C22×Q8×C137—21no—
60C2×Q16×C137—22no—
61C2×SD16×C137—22no—
62C4⋊Q8×C137—21no—
63C4⋊Q8×C137—21no—
64C4⋊Q8×C137—21no—
65C4⋊Q8×C137C2312yes—
66#127×C137—21no—
67#126×C137—21no—
68#126×C137—21no—
69#126×C137—21no—
70#126×C137—21no—
71#126×C137—21no—
72#126×C137—21no—
73#126×C137—21no—
74#125×C137—21no—
75#125×C137—21no—
76#125×C137—21no—
77#125×C137—21no—
78#125×C137—21no—
79#125×C137—21no—
80#125×C137—21no—
81#125×C137—21no—
82#125×C137—21no—
83#125×C137C2311yescharacteristic
84#125×C137C2311yescharacteristic
85#125×C137C2311yescharacteristic
86#124×C137C2311yescharacteristic
87#124×C137C2311yescharacteristic
88#124×C137C2311yescharacteristic
89#123×C137—21no—
90#123×C137—21no—
91#123×C137—21no—
92#123×C137—21no—
93#123×C137—21no—
94#123×C137—21no—
95#123×C137—21no—
96#123×C137—21no—
97#123×C137—21no—
98#123×C137—21no—
99#123×C137—21no—
100#123×C137—21no—
101#123×C137—21no—
102#123×C137—21no—
103#123×C137—21no—
104C22⋊Q8×C137—21no—
105C22⋊Q8×C137—21no—
106C22⋊Q8×C137—21no—
107C22⋊Q8×C137—21no—
108C22⋊Q8×C137—21no—
109C22⋊Q8×C137—21no—
110C22⋊Q8×C137D411yescharacteristic
111C22⋊Q8×C137D411yescharacteristic
112C22⋊Q8×C137D411yescharacteristic
113#121×C137—21no—
114#121×C137—21no—
115#121×C137—21no—
116#121×C137—21no—
117#121×C137—21no—
118#121×C137—21no—
119#121×C137—21no—
120#121×C137—21no—
121#121×C137—21no—
122#121×C137—21no—
123#121×C137—21no—
124#121×C137—21no—
125#121×C137D411yescharacteristic
126#121×C137D411yescharacteristic
127#121×C137D411yescharacteristic
128C4×Q8×C137D411yescharacteristic
129C4×Q8×C137D411yescharacteristic
130C4×Q8×C137D411yescharacteristic
131C4×D4×C137—21no—
132C4×D4×C137—21no—
133C4×D4×C137—21no—
134C4×D4×C137—21no—
135C4×D4×C137—21no—
136C4×D4×C137—21no—
137C4×D4×C137—21no—
138C4×D4×C137—21no—
139C4×D4×C137—21no—
140C4×D4×C137D411yescharacteristic
141C4×D4×C137D411yescharacteristic
142C4×D4×C137D411yescharacteristic
143#117×C137—21no—
144#117×C137—21no—
145#117×C137—21no—
146#117×C137—21no—
147#117×C137—21no—
148#117×C137—21no—
149C2×C4⋊C4×C137—21no—
150C2×C4⋊C4×C137—21no—
151C2×C4⋊C4×C137—21no—
152C2×C4⋊C4×C137—21no—
153C2×C4⋊C4×C137—21no—
154C2×C42×C137C2311yescharacteristic
155#107×C137—22no—
156#107×C137—22no—
157#106×C137—22no—
158#106×C137—22no—
159C4⋊C8×C137—21no—
160C4⋊C8×C137—21no—
161C4⋊C8×C137—21no—
162#103×C137—22no—
163#103×C137—22no—
164#103×C137—22no—
165#103×C137—22no—
166#102×C137—22no—
167#102×C137—22no—
168C22⋊C8×C137—21no—
169C22⋊C8×C137—21no—
170C22⋊C8×C137—21no—
171#97×C137C2312yes—
172#97×C137C2312yes—
173#97×C137C2312yes—
174C2×Q8×C137—22no—
175C2×Q8×C137—41no—
176C2×Q8×C137—82no—
177C2×Q8×C137C2×D411yescharacteristic
178C2×Q8×C137C2×D411yescharacteristic
179C2×Q8×C137C2×D411yescharacteristic
180C2×D4×C137—21no—
181C2×D4×C137—21no—
182C2×D4×C137—21no—
183C2×D4×C137—21no—
184C2×D4×C137—21no—
185C2×D4×C137—21no—
186C2×D4×C137—21no—
187C2×D4×C137—21no—
188C2×D4×C137—21no—
189C2×D4×C137C2×D411yescharacteristic
190C2×D4×C137C2×D411yescharacteristic
191C2×D4×C137C2×D411yescharacteristic
192C22×C4×C137—21no—
193C22×C4×C137—21no—
194C22×C4×C137—21no—
195C22×C4×C137—21no—
196C22×C4×C137—21no—
197C22×C4×C137—21no—
198C22×C4×C137—21no—
199C22×C4×C137—21no—
200C22×C4×C137—21no—
201C22×C4×C137—41no—
202C22×C4×C137C2×D411yescharacteristic
203C22×C4×C137C2×D411yescharacteristic
204C22×C4×C137C2×D411yescharacteristic
205Q16×C137—82no—
206SD16×C137—82no—
207C2×C8×C137—22no—
208C2×C8×C137—22no—
209C2×C8×C137—22no—
210C4⋊C4×C137—21no—
211C4⋊C4×C137—21no—
212C4⋊C4×C137—21no—
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×C137—21no—
221C4⋊C4×C137—21no—
222C4⋊C4×C137—21no—
223C4⋊C4×C137—21no—
224C4⋊C4×C137—21no—
225C4⋊C4×C137—21no—
226C4⋊C4×C137—21no—
227C4⋊C4×C137—21no—
228C4⋊C4×C137—21no—
229C4⋊C4×C137—21no—
230C4⋊C4×C137—21no—
231C4⋊C4×C137—21no—
232C4⋊C4×C137—21no—
233C4⋊C4×C137—21no—
234C4⋊C4×C137—22no—
235C4⋊C4×C137—22no—
236C4⋊C4×C137—41no—
237C4⋊C4×C137—41no—
238C4⋊C4×C137C2×D411yescharacteristic
239C4⋊C4×C137C2×D411yescharacteristic
240C4⋊C4×C137C2×D411yescharacteristic
241C4⋊C4×C137C2×D411yescharacteristic
242C4⋊C4×C137C2×D411yescharacteristic
243C4⋊C4×C137C2×D411yescharacteristic
244C22⋊C4×C137—21no—
245C22⋊C4×C137—21no—
246C22⋊C4×C137—21no—
247C22⋊C4×C137—21no—
248C22⋊C4×C137—21no—
249C22⋊C4×C137—21no—
250C22⋊C4×C137—21no—
251C22⋊C4×C137—21no—
252C22⋊C4×C137—21no—
253C22⋊C4×C137—21no—
254C22⋊C4×C137—21no—
255C22⋊C4×C137—21no—
256C22⋊C4×C137—21no—
257C22⋊C4×C137—21no—
258C22⋊C4×C137—21no—
259C22⋊C4×C137—21no—
260C22⋊C4×C137—21no—
261C22⋊C4×C137—21no—
262C22⋊C4×C137—21no—
263C22⋊C4×C137—21no—
264C22⋊C4×C137—21no—
265C42×C137—21no—
266C42×C137—21no—
267C42×C137—21no—
268C42×C137—21no—
269C42×C137—21no—
270C42×C137C2×D411yescharacteristic
271C42×C137C2×D411yescharacteristic
272C42×C137C2×D411yescharacteristic
273C42×C137C2411yescharacteristic
274C23×C137—21no—
275C23×C137—21no—
276C23×C137—21no—
277C23×C137#12011yescharacteristic
278Q8×C137—41no—
279Q8×C137—41no—
280Q8×C137—41no—
281Q8×C137—42no—
282Q8×C137—42no—
283Q8×C137—82no—
284D4×C137—41no—
285D4×C137—41no—
286D4×C137—41no—
287D4×C137—81no—
288D4×C137—81no—
289D4×C137—81no—
290D4×C137—81no—
291D4×C137—81no—
292D4×C137—81no—
293D4×C137—81no—
294D4×C137—81no—
295D4×C137—81no—
296C2×C4×C137—21no—
297C2×C4×C137—21no—
298C2×C4×C137—21no—
299C2×C4×C137—21no—
300C2×C4×C137—21no—
301C2×C4×C137—21no—
302C2×C4×C137—21no—
303C2×C4×C137—21no—
304C2×C4×C137—21no—
305C2×C4×C137—41no—
306C2×C4×C137—41no—
307C2×C4×C137—41no—
308C2×C4×C137—42no—
309C2×C4×C137—81no—
310C2×C4×C137—81no—
311C2×C4×C137—81no—
312C2×C4×C137—81no—
313C2×C4×C137—81no—
314C2×C4×C137—81no—
315C2×C4×C137—81no—
316C2×C4×C137—81no—
317C2×C4×C137—81no—
318C2×C4×C137—82no—
319C2×C4×C137#12011yescharacteristic
320C2×C4×C137#12011yescharacteristic
321C2×C4×C137#12011yescharacteristic
322C2×C4×C137C22×D411yescharacteristic
323C2×C4×C137C22×D411yescharacteristic
324C2×C4×C137C22×D411yescharacteristic
325C8×C137—42no—
326C8×C137—42no—
327C8×C137—42no—
328C22×C137—21no—
329C22×C137—21no—
330C22×C137—21no—
331C22×C137—41no—
332C22×C137—41no—
333C22×C137—41no—
334C22×C137—41no—
335C22×C137—41no—
336C22×C137—41no—
337C22×C137—41no—
338C22×C137—41no—
339C22×C137—41no—
340C22×C137C2×#12011yescharacteristic
341C4×C137—21no—
342C4×C137—21no—
343C4×C137—21no—
344C4×C137—21no—
345C4×C137—21no—
346C4×C137—21no—
347C4×C137—41no—
348C4×C137—41no—
349C4×C137—41no—
350C4×C137—41no—
351C4×C137—41no—
352C4×C137—41no—
353C4×C137—41no—
354C4×C137—41no—
355C4×C137—41no—
356C4×C137—82no—
357C2×C137—41no—
358C2×C137—81no—
359C2×C137—81no—
360C2×C137—81no—
361C2×C137#302111yescharacteristic
362C2×C137#302211yescharacteristic
363C2×C137#302211yescharacteristic
364#19097C13711yesmaximal, characteristic, direct product factor, Sylow
365C137#1909711yescharacteristic, direct product factor, Sylow
366#3567C2×C13711yescharacteristic
367#3239C2×C13711yescharacteristic, complemented
368#3238C2×C13711yescharacteristic, complemented
369#3218C2×C13711yescharacteristic, complemented
370#1663C2×C13712yescomplemented
371#1662C2×C13712yescomplemented
372#1661C2×C13712yescomplemented
373#1661C2×C13712yescomplemented
374#1535C2×C13711yescharacteristic, complemented
375#1535C2×C13711yescharacteristic, complemented
376#1535C2×C13711yescharacteristic, complemented
377#564C22×C13711yescharacteristic
378#562C22×C13711yescharacteristic
379#562C22×C13711yescharacteristic
380#562C22×C13711yescharacteristic
381#553—21no—
382#553—21no—
383#553—21no—
384#552—21no—
385#552—21no—
386#552—21no—
387#540—21no—
388#540—21no—
389#540—21no—
390#539—21no—
391#539—21no—
392#539—21no—
393C2×C4⋊Q8C22×C13711yescharacteristic
394#529C22×C13711yescharacteristic
395#529C22×C13711yescharacteristic
396#529C22×C13711yescharacteristic
397#501C22×C13712yes—
398#501C22×C13712yes—
399#497C22×C13712yes—
400#491C22×C13712yes—
401#489C22×C13712yes—
402#489C22×C13712yes—
403#484—21no—
404#483—21no—
405#481—21no—
406#480—21no—
407#477—21no—
408#476—21no—
409#475—21no—
410#474—21no—
411#462—21no—
412#461—21no—
413#451—21no—
414#448—21no—
415#432C22×C13711yescharacteristic
416#432C22×C13711yescharacteristic
417#432C22×C13711yescharacteristic
418#330C22×C13712yes—
419#330C22×C13712yes—
420#330C22×C13712yes—
421#329C22×C13712yes—
422#329C22×C13712yes—
423#329C22×C13712yes—
424C22×Q8—21no—
425C2×Q16—22no—
426C2×SD16—22no—
427C4⋊Q8—21no—
428C4⋊Q8—21no—
429C4⋊Q8—21no—
430C4⋊Q8C23×C13712yes—
431#127—21no—
432#126—21no—
433#126—21no—
434#126—21no—
435#126—21no—
436#126—21no—
437#126—21no—
438#126—21no—
439#125—21no—
440#125—21no—
441#125—21no—
442#125—21no—
443#125—21no—
444#125—21no—
445#125—21no—
446#125—21no—
447#125—21no—
448#125C23×C13711yescharacteristic
449#125C23×C13711yescharacteristic
450#125C23×C13711yescharacteristic
451#124C23×C13711yescharacteristic
452#124C23×C13711yescharacteristic
453#124C23×C13711yescharacteristic
454#123—21no—
455#123—21no—
456#123—21no—
457#123—21no—
458#123—21no—
459#123—21no—
460#123—21no—
461#123—21no—
462#123—21no—
463#123—21no—
464#123—21no—
465#123—21no—
466#123—21no—
467#123—21no—
468#123—21no—
469C22⋊Q8—21no—
470C22⋊Q8—21no—
471C22⋊Q8—21no—
472C22⋊Q8—21no—
473C22⋊Q8—21no—
474C22⋊Q8—21no—
475C22⋊Q8D4×C13711yescharacteristic
476C22⋊Q8D4×C13711yescharacteristic
477C22⋊Q8D4×C13711yescharacteristic
478#121—21no—
479#121—21no—
480#121—21no—
481#121—21no—
482#121—21no—
483#121—21no—
484#121—21no—
485#121—21no—
486#121—21no—
487#121—21no—
488#121—21no—
489#121—21no—
490#121D4×C13711yescharacteristic
491#121D4×C13711yescharacteristic
492#121D4×C13711yescharacteristic
493C4×Q8D4×C13711yescharacteristic
494C4×Q8D4×C13711yescharacteristic
495C4×Q8D4×C13711yescharacteristic
496C4×D4—21no—
497C4×D4—21no—
498C4×D4—21no—
499C4×D4—21no—
500C4×D4—21no—
501C4×D4—21no—
502C4×D4—21no—
503C4×D4—21no—
504C4×D4—21no—
505C4×D4D4×C13711yescharacteristic
506C4×D4D4×C13711yescharacteristic
507C4×D4D4×C13711yescharacteristic
508#117—21no—
509#117—21no—
510#117—21no—
511#117—21no—
512#117—21no—
513#117—21no—
514C2×C4⋊C4—21no—
515C2×C4⋊C4—21no—
516C2×C4⋊C4—21no—
517C2×C4⋊C4—21no—
518C2×C4⋊C4—21no—
519C2×C42C23×C13711yescharacteristic
520#107—22no—
521#107—22no—
522#106—22no—
523#106—22no—
524C4⋊C8—21no—
525C4⋊C8—21no—
526C4⋊C8—21no—
527#103—22no—
528#103—22no—
529#103—22no—
530#103—22no—
531#102—22no—
532#102—22no—
533C22⋊C8—21no—
534C22⋊C8—21no—
535C22⋊C8—21no—
536#97C23×C13712yes—
537#97C23×C13712yes—
538#97C23×C13712yes—
539C2×Q8—22no—
540C2×Q8—41no—
541C2×Q8—82no—
542C2×Q8C2×D4×C13711yescharacteristic
543C2×Q8C2×D4×C13711yescharacteristic
544C2×Q8C2×D4×C13711yescharacteristic
545C2×D4—21no—
546C2×D4—21no—
547C2×D4—21no—
548C2×D4—21no—
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4C2×D4×C13711yescharacteristic
555C2×D4C2×D4×C13711yescharacteristic
556C2×D4C2×D4×C13711yescharacteristic
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—21no—
566C22×C4—41no—
567C22×C4C2×D4×C13711yescharacteristic
568C22×C4C2×D4×C13711yescharacteristic
569C22×C4C2×D4×C13711yescharacteristic
570Q16—82no—
571SD16—82no—
572C2×C8—22no—
573C2×C8—22no—
574C2×C8—22no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—21no—
595C4⋊C4—21no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—41no—
602C4⋊C4—41no—
603C4⋊C4C2×D4×C13711yescharacteristic
604C4⋊C4C2×D4×C13711yescharacteristic
605C4⋊C4C2×D4×C13711yescharacteristic
606C4⋊C4C2×D4×C13711yescharacteristic
607C4⋊C4C2×D4×C13711yescharacteristic
608C4⋊C4C2×D4×C13711yescharacteristic
609C22⋊C4—21no—
610C22⋊C4—21no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—21no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—21no—
621C22⋊C4—21no—
622C22⋊C4—21no—
623C22⋊C4—21no—
624C22⋊C4—21no—
625C22⋊C4—21no—
626C22⋊C4—21no—
627C22⋊C4—21no—
628C22⋊C4—21no—
629C22⋊C4—21no—
630C42—21no—
631C42—21no—
632C42—21no—
633C42—21no—
634C42—21no—
635C42C2×D4×C13711yescharacteristic
636C42C2×D4×C13711yescharacteristic
637C42C2×D4×C13711yescharacteristic
638C42C24×C13711yescharacteristic
639C23—21no—
640C23—21no—
641C23—21no—
642C23#120×C13711yescharacteristic
643Q8—41no—
644Q8—41no—
645Q8—41no—
646Q8—42no—
647Q8—42no—
648Q8—82no—
649D4—41no—
650D4—41no—
651D4—41no—
652D4—81no—
653D4—81no—
654D4—81no—
655D4—81no—
656D4—81no—
657D4—81no—
658D4—81no—
659D4—81no—
660D4—81no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—42no—
674C2×C4—81no—
675C2×C4—81no—
676C2×C4—81no—
677C2×C4—81no—
678C2×C4—81no—
679C2×C4—81no—
680C2×C4—81no—
681C2×C4—81no—
682C2×C4—81no—
683C2×C4—82no—
684C2×C4#120×C13711yescharacteristic
685C2×C4#120×C13711yescharacteristic
686C2×C4#120×C13711yescharacteristic
687C2×C4C22×D4×C13711yescharacteristic
688C2×C4C22×D4×C13711yescharacteristic
689C2×C4C22×D4×C13711yescharacteristic
690C8—42no—
691C8—42no—
692C8—42no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—41no—
703C22—41no—
704C22—41no—
705C22C2×#120×C13711yescharacteristic
706C4—21no—
707C4—21no—
708C4—21no—
709C4—21no—
710C4—21no—
711C4—21no—
712C4—41no—
713C4—41no—
714C4—41no—
715C4—41no—
716C4—41no—
717C4—41no—
718C4—41no—
719C4—41no—
720C4—41no—
721C4—82no—
722C2—41no—
723C2—81no—
724C2—81no—
725C2—81no—
726C2#3021×C13711yescharacteristic
727C2#3022×C13711yescharacteristic
728C2#3022×C13711yescharacteristic
subgroupG/H
center, socleC22×C137C2×#120
commutator, Frattini, cosocleC42C24×C137
prime radical#3567×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. #3238×C137C2semidirect
4. #3218×C137C2semidirect
5. #1663×C137C2semidirect
6. #1662×C137C2semidirect
7. #1661×C137C2semidirect
8. #1661×C137C2semidirect
9. #1535×C137C2semidirect
10. #1535×C137C2semidirect
11. #1535×C137C2semidirect
364. #19097C137direct (N × H)
365. C137#19097direct (N × H)
367. #3239C2×C137semidirect
368. #3238C2×C137semidirect
369. #3218C2×C137semidirect
370. #1663C2×C137semidirect
371. #1662C2×C137semidirect
372. #1661C2×C137semidirect
373. #1661C2×C137semidirect
374. #1535C2×C137semidirect
375. #1535C2×C137semidirect
376. #1535C2×C137semidirect

Maximal subgroups

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

subgroupindex
#3567×C1372
#3239×C1372
#3238×C1372
#3218×C1372
#1663×C1372
#1662×C1372
#1661×C1372
#1535×C1372
#19097137