Finite Group Databasebeta

← C113×#18273 #43286293

Subgroups — C113×#18273 #43286293

Order 28928.

1002 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C113×#3558C211yesmaximal, characteristic
2C113×#3112C211yesmaximal, characteristic, complemented
3C113×#3108C211yesmaximal, characteristic, complemented
4C113×#2592C211yesmaximal, characteristic, complemented
5C113×#1612C212yesmaximal, complemented
6C113×#1607C212yesmaximal, complemented
7C113×#1606C212yesmaximal, complemented
8C113×#1601C212yesmaximal, complemented
9C113×#1509C211yesmaximal, characteristic, complemented
10C113×#1502C211yesmaximal, characteristic, complemented
11C113×#1469C211yesmaximal, characteristic, complemented
12#562×C113—21no—
13H(3,𝔽4)×C113—21no—
14#559×C113—21no—
15#548×C113—21no—
16#546×C113—21no—
17#546×C113—22no—
18D42×C113—21no—
19#542×C113—21no—
20#538×C113—22no—
21#538×C113C2212yes—
22#535×C113—21no—
23#534×C113C2212yes—
24#532×C113C2211yescharacteristic
25#529×C113C2211yescharacteristic
26C2×#124×C113C2211yescharacteristic
27C2×C4×Q8×C113C2211yescharacteristic, complemented
28#483×C113C2211yescharacteristic, complemented
29#480×C113C2211yescharacteristic
30#480×C113C2212yescomplemented
31#479×C113—21no—
32#477×C113—21no—
33#464×C113—21no—
34#460×C113—21no—
35#451×C113C2211yescharacteristic, complemented
36#448×C113C2211yescharacteristic
37#448×C113C2212yescomplemented
38#440×C113—22no—
39C4×Q16×C113—21no—
40C4×SD16×C113—21no—
41#432×C113C2211yescharacteristic, complemented
42#431×C113C2211yescharacteristic, complemented
43#397×C113C2212yescomplemented
44#393×C113C2212yescomplemented
45#391×C113—21no—
46#390×C113—21no—
47#388×C113—22no—
48C4×C4⋊C4×C113C2211yescharacteristic, complemented
49#328×C113C2212yescomplemented
50#327×C113C2212yes—
51#327×C113C2212yescomplemented
52#327×C113C2212yescomplemented
53#323×C113C2212yescomplemented
54#323×C113C2212yescomplemented
55C2×#41×C113—21no—
56C2×#41×C113—21no—
57C22×Q8×C113D411yescharacteristic
58C22×Q8×C113C2311yescharacteristic
59C22×D4×C113—21no—
60C22×D4×C113—22no—
61C22×D4×C113D411yescharacteristic
62C2×Q16×C113—21no—
63C2×SD16×C113—21no—
64C2×SD16×C113—22no—
65C4⋊Q8×C113D411yescharacteristic
66#127×C113—21no—
67#127×C113D411yescharacteristic
68#126×C113—22no—
69#126×C113—21no—
70#125×C113D411yescharacteristic
71#124×C113—21no—
72#124×C113—22no—
73#124×C113—22no—
74#124×C113—22no—
75#124×C113—21no—
76#124×C113—21no—
77#124×C113—21no—
78#124×C113—21no—
79#124×C113—21no—
80#124×C113D411yescharacteristic
81#123×C113—22no—
82#123×C113—21no—
83#123×C113—22no—
84#123×C113—22no—
85#123×C113—22no—
86C22⋊Q8×C113—22no—
87C22⋊Q8×C113—21no—
88C22⋊Q8×C113—22no—
89C22⋊Q8×C113C2311yescharacteristic
90#121×C113—22no—
91#121×C113—22no—
92#121×C113—22no—
93#121×C113—21no—
94#121×C113—22no—
95#121×C113—21no—
96#121×C113—22no—
97#121×C113C2311yescharacteristic
98#121×C113C2312yes—
99#120×C113—22no—
100#120×C113—22no—
101#120×C113—22no—
102#120×C113—22no—
103#120×C113—22no—
104C4×Q8×C113—21no—
105C4×Q8×C113—21no—
106C4×Q8×C113—21no—
107C4×Q8×C113—21no—
108C4×Q8×C113—21no—
109C4×Q8×C113D411yescharacteristic
110C4×D4×C113—22no—
111C4×D4×C113—21no—
112C4×D4×C113—21no—
113C4×D4×C113—22no—
114C4×D4×C113—21no—
115C4×D4×C113D411yescharacteristic
116C4×D4×C113D412yes—
117#117×C113—21no—
118C2×C4⋊C4×C113—21no—
119C2×C4⋊C4×C113—21no—
120C2×C4⋊C4×C113C2311yescharacteristic
121C2×C22⋊C4×C113—22no—
122C2×C22⋊C4×C113—22no—
123C2×C22⋊C4×C113—22no—
124C2×C22⋊C4×C113D412yes—
125C2×C22⋊C4×C113C2312yes—
126C2×C42×C113—21no—
127C2×C42×C113—21no—
128C2×C42×C113C2311yescharacteristic
129#107×C113—21no—
130#107×C113—22no—
131#106×C113—21no—
132C4⋊C8×C113—21no—
133C4⋊C8×C113—21no—
134#103×C113—21no—
135#103×C113—21no—
136#103×C113—21no—
137#103×C113—22no—
138#102×C113—21no—
139#102×C113—22no—
140C22⋊C8×C113C2312yes—
141C22⋊C8×C113C2311yescharacteristic
142C22⋊C8×C113C2311yescharacteristic
143#97×C113—21no—
144C4×C8×C113—21no—
145#95×C113—22no—
146#95×C113—22no—
147#95×C113C2312yes—
148C24×C113—22no—
149C24×C113C2×D412yes—
150#41×C113—81no—
151#41×C113—81no—
152#41×C113—82no—
153C2×Q8×C113—21no—
154C2×Q8×C113—21no—
155C2×Q8×C113—21no—
156C2×Q8×C113—21no—
157C2×Q8×C113—21no—
158C2×Q8×C113—42no—
159C2×Q8×C113—42no—
160C2×Q8×C113C2×D411yescharacteristic
161C2×D4×C113—22no—
162C2×D4×C113—21no—
163C2×D4×C113—22no—
164C2×D4×C113—22no—
165C2×D4×C113—22no—
166C2×D4×C113—22no—
167C2×D4×C113—22no—
168C2×D4×C113—21no—
169C2×D4×C113—21no—
170C2×D4×C113—21no—
171C2×D4×C113—21no—
172C2×D4×C113—42no—
173C2×D4×C113—82no—
174C2×D4×C113—82no—
175C2×D4×C113—82no—
176C2×D4×C113C2×D411yescharacteristic
177C2×D4×C113C2×D412yes—
178C22×C4×C113—21no—
179C22×C4×C113—22no—
180C22×C4×C113—22no—
181C22×C4×C113—21no—
182C22×C4×C113—22no—
183C22×C4×C113—22no—
184C22×C4×C113—21no—
185C22×C4×C113C2×D411yescharacteristic
186C22×C4×C113C2×D411yescharacteristic
187C22×C4×C113C2×D412yes—
188C22×C4×C113C2411yescharacteristic
189Q16×C113—42no—
190SD16×C113—44no—
191SD16×C113—42no—
192C2×C8×C113—21no—
193C2×C8×C113—21no—
194C2×C8×C113—22no—
195C4⋊C4×C113—22no—
196C4⋊C4×C113—22no—
197C4⋊C4×C113—21no—
198C4⋊C4×C113—21no—
199C4⋊C4×C113—21no—
200C4⋊C4×C113—21no—
201C4⋊C4×C113—21no—
202C4⋊C4×C113—21no—
203C4⋊C4×C113—21no—
204C4⋊C4×C113—42no—
205C4⋊C4×C113—41no—
206C4⋊C4×C113—41no—
207C4⋊C4×C113C2×D411yescharacteristic
208C4⋊C4×C113C2×D412yes—
209C4⋊C4×C113C2×D411yescharacteristic
210C22⋊C4×C113—22no—
211C22⋊C4×C113—22no—
212C22⋊C4×C113—22no—
213C22⋊C4×C113—22no—
214C22⋊C4×C113—22no—
215C22⋊C4×C113—21no—
216C22⋊C4×C113—21no—
217C22⋊C4×C113—22no—
218C22⋊C4×C113—22no—
219C22⋊C4×C113—21no—
220C22⋊C4×C113—21no—
221C22⋊C4×C113—22no—
222C22⋊C4×C113—22no—
223C22⋊C4×C113—22no—
224C22⋊C4×C113—21no—
225C22⋊C4×C113—22no—
226C22⋊C4×C113—44no—
227C22⋊C4×C113—82no—
228C42×C113—22no—
229C42×C113—21no—
230C42×C113—41no—
231C42×C113—41no—
232C42×C113—81no—
233C42×C113C2×D411yescharacteristic
234C42×C113C2×D411yescharacteristic
235C42×C113C2×D411yescharacteristic
236C42×C113C2×D411yescharacteristic
237C23×C113—22no—
238C23×C113—21no—
239C23×C113—22no—
240C23×C113—22no—
241C23×C113—22no—
242C23×C113—42no—
243C23×C113—42no—
244C23×C113—82no—
245C23×C113—82no—
246C23×C113—82no—
247C23×C113C22×D411yescharacteristic
248Q8×C113—22no—
249Q8×C113—22no—
250Q8×C113—41no—
251Q8×C113—41no—
252Q8×C113—41no—
253Q8×C113—42no—
254Q8×C113—81no—
255Q8×C113—81no—
256D4×C113—42no—
257D4×C113—41no—
258D4×C113—41no—
259D4×C113—42no—
260D4×C113—41no—
261D4×C113—42no—
262D4×C113—42no—
263D4×C113—42no—
264D4×C113—81no—
265D4×C113—81no—
266D4×C113—82no—
267D4×C113—82no—
268D4×C113—82no—
269D4×C113—82no—
270D4×C113—82no—
271C2×C4×C113—21no—
272C2×C4×C113—21no—
273C2×C4×C113—22no—
274C2×C4×C113—22no—
275C2×C4×C113—21no—
276C2×C4×C113—22no—
277C2×C4×C113—22no—
278C2×C4×C113—21no—
279C2×C4×C113—21no—
280C2×C4×C113—41no—
281C2×C4×C113—41no—
282C2×C4×C113—41no—
283C2×C4×C113—42no—
284C2×C4×C113—42no—
285C2×C4×C113—42no—
286C2×C4×C113—42no—
287C2×C4×C113—41no—
288C2×C4×C113—42no—
289C2×C4×C113—41no—
290C2×C4×C113—41no—
291C2×C4×C113—82no—
292C2×C4×C113—82no—
293C2×C4×C113—82no—
294C2×C4×C113#12011yescharacteristic
295C2×C4×C113#12011yescharacteristic
296C2×C4×C113#12011yescharacteristic
297C2×C4×C113#12011yescharacteristic
298C2×C4×C113C22×D411yescharacteristic
299C2×C4×C113C22×D411yescharacteristic
300C8×C113—42no—
301C8×C113—41no—
302C8×C113—41no—
303C22×C113—21no—
304C22×C113—21no—
305C22×C113—42no—
306C22×C113—42no—
307C22×C113—41no—
308C22×C113—41no—
309C22×C113—42no—
310C22×C113—42no—
311C22×C113—42no—
312C22×C113—41no—
313C22×C113—42no—
314C22×C113—82no—
315C22×C113—82no—
316C22×C113—164no—
317C22×C113C2×#12011yescharacteristic
318C22×C113#57611yescharacteristic
319C22×C113#57711yescharacteristic
320C4×C113—21no—
321C4×C113—21no—
322C4×C113—21no—
323C4×C113—21no—
324C4×C113—21no—
325C4×C113—41no—
326C4×C113—42no—
327C4×C113—41no—
328C4×C113—42no—
329C4×C113—42no—
330C4×C113—41no—
331C4×C113—82no—
332C4×C113—81no—
333C4×C113#45512yes—
334#18273C11311yesmaximal, characteristic, direct product factor, Sylow
335C2×C113—21no—
336C2×C113—21no—
337C2×C113—82no—
338C2×C113—82no—
339C2×C113—81no—
340C2×C113#301211yescharacteristic
341C2×C113C2×#45511yescharacteristic
342C2×C113#302511yescharacteristic
343#3558C2×C11311yescharacteristic
344#3112C2×C11311yescharacteristic, complemented
345#3108C2×C11311yescharacteristic, complemented
346#2592C2×C11311yescharacteristic, complemented
347#1612C2×C11312yescomplemented
348#1607C2×C11312yescomplemented
349#1606C2×C11312yescomplemented
350#1601C2×C11312yescomplemented
351#1509C2×C11311yescharacteristic, complemented
352#1502C2×C11311yescharacteristic, complemented
353#1469C2×C11311yescharacteristic, complemented
354C113#1827311yescharacteristic, direct product factor, Sylow
355#562—21no—
356H(3,𝔽4)—21no—
357#559—21no—
358#548—21no—
359#546—21no—
360#546—22no—
361D42—21no—
362#542—21no—
363#538—22no—
364#538C22×C11312yes—
365#535—21no—
366#534C22×C11312yes—
367#532C22×C11311yescharacteristic
368#529C22×C11311yescharacteristic
369C2×#124C22×C11311yescharacteristic
370C2×C4×Q8C22×C11311yescharacteristic, complemented
371#483C22×C11311yescharacteristic, complemented
372#480C22×C11311yescharacteristic
373#480C22×C11312yescomplemented
374#479—21no—
375#477—21no—
376#464—21no—
377#460—21no—
378#451C22×C11311yescharacteristic, complemented
379#448C22×C11311yescharacteristic
380#448C22×C11312yescomplemented
381#440—22no—
382C4×Q16—21no—
383C4×SD16—21no—
384#432C22×C11311yescharacteristic, complemented
385#431C22×C11311yescharacteristic, complemented
386#397C22×C11312yescomplemented
387#393C22×C11312yescomplemented
388#391—21no—
389#390—21no—
390#388—22no—
391C4×C4⋊C4C22×C11311yescharacteristic, complemented
392#328C22×C11312yescomplemented
393#327C22×C11312yes—
394#327C22×C11312yescomplemented
395#327C22×C11312yescomplemented
396#323C22×C11312yescomplemented
397#323C22×C11312yescomplemented
398C2×#41—21no—
399C2×#41—21no—
400C22×Q8D4×C11311yescharacteristic
401C22×Q8C23×C11311yescharacteristic
402C22×D4—21no—
403C22×D4—22no—
404C22×D4D4×C11311yescharacteristic
405C2×Q16—21no—
406C2×SD16—21no—
407C2×SD16—22no—
408C4⋊Q8D4×C11311yescharacteristic
409#127—21no—
410#127D4×C11311yescharacteristic
411#126—22no—
412#126—21no—
413#125D4×C11311yescharacteristic
414#124—21no—
415#124—22no—
416#124—22no—
417#124—22no—
418#124—21no—
419#124—21no—
420#124—21no—
421#124—21no—
422#124—21no—
423#124D4×C11311yescharacteristic
424#123—22no—
425#123—21no—
426#123—22no—
427#123—22no—
428#123—22no—
429C22⋊Q8—22no—
430C22⋊Q8—21no—
431C22⋊Q8—22no—
432C22⋊Q8C23×C11311yescharacteristic
433#121—22no—
434#121—22no—
435#121—22no—
436#121—21no—
437#121—22no—
438#121—21no—
439#121—22no—
440#121C23×C11311yescharacteristic
441#121C23×C11312yes—
442#120—22no—
443#120—22no—
444#120—22no—
445#120—22no—
446#120—22no—
447C4×Q8—21no—
448C4×Q8—21no—
449C4×Q8—21no—
450C4×Q8—21no—
451C4×Q8—21no—
452C4×Q8D4×C11311yescharacteristic
453C4×D4—22no—
454C4×D4—21no—
455C4×D4—21no—
456C4×D4—22no—
457C4×D4—21no—
458C4×D4D4×C11311yescharacteristic
459C4×D4D4×C11312yes—
460#117—21no—
461C2×C4⋊C4—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4C23×C11311yescharacteristic
464C2×C22⋊C4—22no—
465C2×C22⋊C4—22no—
466C2×C22⋊C4—22no—
467C2×C22⋊C4D4×C11312yes—
468C2×C22⋊C4C23×C11312yes—
469C2×C42—21no—
470C2×C42—21no—
471C2×C42C23×C11311yescharacteristic
472#107—21no—
473#107—22no—
474#106—21no—
475C4⋊C8—21no—
476C4⋊C8—21no—
477#103—21no—
478#103—21no—
479#103—21no—
480#103—22no—
481#102—21no—
482#102—22no—
483C22⋊C8C23×C11312yes—
484C22⋊C8C23×C11311yescharacteristic
485C22⋊C8C23×C11311yescharacteristic
486#97—21no—
487C4×C8—21no—
488#95—22no—
489#95—22no—
490#95C23×C11312yes—
491C24—22no—
492C24C2×D4×C11312yes—
493#41—81no—
494#41—81no—
495#41—82no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—42no—
502C2×Q8—42no—
503C2×Q8C2×D4×C11311yescharacteristic
504C2×D4—22no—
505C2×D4—21no—
506C2×D4—22no—
507C2×D4—22no—
508C2×D4—22no—
509C2×D4—22no—
510C2×D4—22no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—42no—
516C2×D4—82no—
517C2×D4—82no—
518C2×D4—82no—
519C2×D4C2×D4×C11311yescharacteristic
520C2×D4C2×D4×C11312yes—
521C22×C4—21no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—21no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—21no—
528C22×C4C2×D4×C11311yescharacteristic
529C22×C4C2×D4×C11311yescharacteristic
530C22×C4C2×D4×C11312yes—
531C22×C4C24×C11311yescharacteristic
532Q16—42no—
533SD16—44no—
534SD16—42no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—42no—
548C4⋊C4—41no—
549C4⋊C4—41no—
550C4⋊C4C2×D4×C11311yescharacteristic
551C4⋊C4C2×D4×C11312yes—
552C4⋊C4C2×D4×C11311yescharacteristic
553C22⋊C4—22no—
554C22⋊C4—22no—
555C22⋊C4—22no—
556C22⋊C4—22no—
557C22⋊C4—22no—
558C22⋊C4—21no—
559C22⋊C4—21no—
560C22⋊C4—22no—
561C22⋊C4—22no—
562C22⋊C4—21no—
563C22⋊C4—21no—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—21no—
568C22⋊C4—22no—
569C22⋊C4—44no—
570C22⋊C4—82no—
571C42—22no—
572C42—21no—
573C42—41no—
574C42—41no—
575C42—81no—
576C42C2×D4×C11311yescharacteristic
577C42C2×D4×C11311yescharacteristic
578C42C2×D4×C11311yescharacteristic
579C42C2×D4×C11311yescharacteristic
580C23—22no—
581C23—21no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—42no—
586C23—42no—
587C23—82no—
588C23—82no—
589C23—82no—
590C23C22×D4×C11311yescharacteristic
591Q8—22no—
592Q8—22no—
593Q8—41no—
594Q8—41no—
595Q8—41no—
596Q8—42no—
597Q8—81no—
598Q8—81no—
599D4—42no—
600D4—41no—
601D4—41no—
602D4—42no—
603D4—41no—
604D4—42no—
605D4—42no—
606D4—42no—
607D4—81no—
608D4—81no—
609D4—82no—
610D4—82no—
611D4—82no—
612D4—82no—
613D4—82no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—41no—
631C2×C4—42no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—82no—
635C2×C4—82no—
636C2×C4—82no—
637C2×C4#120×C11311yescharacteristic
638C2×C4#120×C11311yescharacteristic
639C2×C4#120×C11311yescharacteristic
640C2×C4#120×C11311yescharacteristic
641C2×C4C22×D4×C11311yescharacteristic
642C2×C4C22×D4×C11311yescharacteristic
643C8—42no—
644C8—41no—
645C8—41no—
646C22—21no—
647C22—21no—
648C22—42no—
649C22—42no—
650C22—41no—
651C22—41no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—41no—
656C22—42no—
657C22—82no—
658C22—82no—
659C22—164no—
660C22C2×#120×C11311yescharacteristic
661C22#576×C11311yescharacteristic
662C22#577×C11311yescharacteristic
663C4—21no—
664C4—21no—
665C4—21no—
666C4—21no—
667C4—21no—
668C4—41no—
669C4—42no—
670C4—41no—
671C4—42no—
672C4—42no—
673C4—41no—
674C4—82no—
675C4—81no—
676C4#455×C11312yes—
677C2—21no—
678C2—21no—
679C2—82no—
680C2—81no—
681C2—82no—
682C2C113×#301211yescharacteristic
683C2C2×#455×C11311yescharacteristic
684C2C113×#302511yescharacteristic
subgroupG/H
center, socleC22×C113C2×#120
commutator, Frattini, cosocleC22×C4C24×C113
prime radicalC113×#3558C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C113 ◁ C2×C42×C113 ◁ G

Complements

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

NH ≅ G/Ntype
2. C113×#3112C2semidirect
3. C113×#3108C2semidirect
4. C113×#2592C2semidirect
5. C113×#1612C2semidirect
6. C113×#1607C2semidirect
7. C113×#1606C2semidirect
8. C113×#1601C2semidirect
9. C113×#1509C2semidirect
10. C113×#1502C2semidirect
11. C113×#1469C2semidirect
27. C2×C4×Q8×C113C22semidirect
28. #483×C113C22semidirect
30. #480×C113C22semidirect
35. #451×C113C22semidirect
37. #448×C113C22semidirect
41. #432×C113C22semidirect
42. #431×C113C22semidirect
43. #397×C113C22semidirect
44. #393×C113C22semidirect
48. C4×C4⋊C4×C113C22semidirect
49. #328×C113C22semidirect
51. #327×C113C22semidirect
52. #327×C113C22semidirect
53. #323×C113C22semidirect
54. #323×C113C22semidirect
334. #18273C113direct (N × H)
344. #3112C2×C113semidirect
345. #3108C2×C113semidirect
346. #2592C2×C113semidirect
347. #1612C2×C113semidirect
348. #1607C2×C113semidirect
349. #1606C2×C113semidirect
350. #1601C2×C113semidirect
351. #1509C2×C113semidirect
352. #1502C2×C113semidirect
353. #1469C2×C113semidirect
354. C113#18273direct (N × H)
370. C2×C4×Q8C22×C113semidirect
371. #483C22×C113semidirect
373. #480C22×C113semidirect
378. #451C22×C113semidirect
380. #448C22×C113semidirect
384. #432C22×C113semidirect
385. #431C22×C113semidirect
386. #397C22×C113semidirect
387. #393C22×C113semidirect
391. C4×C4⋊C4C22×C113semidirect
392. #328C22×C113semidirect
394. #327C22×C113semidirect
395. #327C22×C113semidirect
396. #323C22×C113semidirect
397. #323C22×C113semidirect

Maximal subgroups

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

subgroupindex
C113×#35582
C113×#31122
C113×#31082
C113×#25922
C113×#16122
C113×#16072
C113×#16062
C113×#16012
C113×#15092
C113×#15022
C113×#14692
#18273113