Finite Group Databasebeta

← C113×#18175 #43286195

Subgroups — C113×#18175 #43286195

Order 28928.

988 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C113×#3505C211yesmaximal, characteristic
2C113×#3095C211yesmaximal, characteristic, complemented
3C113×#3094C211yesmaximal, characteristic, complemented
4C113×#2395C211yesmaximal, characteristic, complemented
5C113×#1618C212yesmaximal, complemented
6C113×#1615C212yesmaximal, complemented
7C113×#1612C212yesmaximal, complemented
8C113×#1609C212yesmaximal, complemented
9C113×#1508C211yesmaximal, characteristic, complemented
10C113×#1507C211yesmaximal, characteristic, complemented
11C113×#1465C211yesmaximal, characteristic, complemented
12#553×C113—22no—
13#553×C113—21no—
14#552×C113—21no—
15#551×C113—22no—
16#548×C113—21no—
17#546×C113—21no—
18#539×C113C2212yes—
19#538×C113C2212yes—
20#534×C113—21no—
21#529×C113—21no—
22#525×C113—21no—
23C2×C22⋊Q8×C113C2211yescharacteristic
24C2×#121×C113C2211yescharacteristic
25#518×C113—21no—
26C2×C4×D4×C113C2211yescharacteristic
27C2×#117×C113C2211yescharacteristic
28#485×C113—22no—
29#484×C113C2212yescomplemented
30#483×C113C2212yescomplemented
31#482×C113—22no—
32#481×C113C2212yes—
33#480×C113C2212yes—
34#428×C113—21no—
35#428×C113—21no—
36#419×C113—21no—
37#418×C113—21no—
38#407×C113C2211yescharacteristic
39#407×C113C2211yescharacteristic
40#400×C113C2211yescharacteristic, complemented
41#399×C113C2211yescharacteristic, complemented
42#398×C113C2211yescharacteristic, complemented
43#397×C113—21no—
44#397×C113C2211yescharacteristic, complemented
45#394×C113—21no—
46C4×C4⋊C4×C113—21no—
47C4×C22⋊C4×C113—21no—
48C4×C22⋊C4×C113C2211yescharacteristic
49#328×C113C2212yescomplemented
50#328×C113C2212yescomplemented
51#327×C113C2212yes—
52#327×C113C2212yes—
53#324×C113C2212yescomplemented
54#323×C113C2212yescomplemented
55C2×#41×C113—21no—
56C22×Q8×C113D411yescharacteristic
57C22×D4×C113—21no—
58C22×D4×C113D411yescharacteristic
59C22×D4×C113D411yescharacteristic
60C23×C4×C113D411yescharacteristic
61C23×C4×C113C2311yescharacteristic
62C2×M16×C113—21no—
63C2×M16×C113—21no—
64#126×C113—22no—
65#126×C113—22no—
66#126×C113—22no—
67#125×C113—21no—
68#125×C113—22no—
69#124×C113—21no—
70#124×C113—22no—
71#123×C113—22no—
72#123×C113—22no—
73#123×C113—22no—
74#123×C113—22no—
75#123×C113—22no—
76C22⋊Q8×C113—21no—
77C22⋊Q8×C113—22no—
78C22⋊Q8×C113—21no—
79C22⋊Q8×C113—21no—
80C22⋊Q8×C113D412yes—
81C22⋊Q8×C113C2312yes—
82#121×C113—21no—
83#121×C113—22no—
84#121×C113—22no—
85#121×C113—22no—
86#121×C113—21no—
87#121×C113—21no—
88#121×C113D412yes—
89#121×C113C2312yes—
90#120×C113—22no—
91#120×C113—22no—
92C4×Q8×C113—21no—
93C4×D4×C113—22no—
94C4×D4×C113—22no—
95C4×D4×C113—22no—
96C4×D4×C113—21no—
97C4×D4×C113—21no—
98C4×D4×C113—21no—
99C4×D4×C113—21no—
100C4×D4×C113—21no—
101C4×D4×C113—22no—
102C4×D4×C113—22no—
103#117×C113—22no—
104#117×C113—21no—
105#117×C113—22no—
106#117×C113—21no—
107#117×C113—21no—
108#117×C113—21no—
109#117×C113—21no—
110C2×C4⋊C4×C113—21no—
111C2×C4⋊C4×C113—21no—
112C2×C4⋊C4×C113—21no—
113C2×C4⋊C4×C113D411yescharacteristic
114C2×C4⋊C4×C113D411yescharacteristic
115C2×C4⋊C4×C113C2311yescharacteristic
116C2×C4⋊C4×C113C2311yescharacteristic
117C2×C4⋊C4×C113C2311yescharacteristic
118C2×C22⋊C4×C113—22no—
119C2×C22⋊C4×C113—21no—
120C2×C22⋊C4×C113—21no—
121C2×C22⋊C4×C113—21no—
122C2×C22⋊C4×C113—21no—
123C2×C22⋊C4×C113—21no—
124C2×C22⋊C4×C113—21no—
125C2×C22⋊C4×C113D411yescharacteristic
126C2×C22⋊C4×C113C2311yescharacteristic
127C2×C42×C113—21no—
128C2×C42×C113—21no—
129C2×C42×C113D411yescharacteristic
130#107×C113—22no—
131#107×C113—22no—
132#106×C113—22no—
133#106×C113—22no—
134#103×C113—22no—
135#103×C113—22no—
136#102×C113—22no—
137#102×C113—22no—
138C22⋊C8×C113—21no—
139C22⋊C8×C113—21no—
140C22⋊C8×C113C2312yes—
141C22⋊C8×C113C2312yes—
142#95×C113—21no—
143#95×C113—21no—
144#95×C113—21no—
145#95×C113—21no—
146#95×C113C2311yescharacteristic
147#95×C113C2311yescharacteristic
148C24×C113—21no—
149C24×C113C2×D411yescharacteristic
150C24×C113C2×D411yescharacteristic
151#41×C113—82no—
152C2×Q8×C113—21no—
153C2×Q8×C113—42no—
154C2×Q8×C113C2×D412yes—
155C2×D4×C113—21no—
156C2×D4×C113—21no—
157C2×D4×C113—22no—
158C2×D4×C113—22no—
159C2×D4×C113—22no—
160C2×D4×C113—22no—
161C2×D4×C113—21no—
162C2×D4×C113—41no—
163C2×D4×C113—41no—
164C2×D4×C113—42no—
165C2×D4×C113—42no—
166C2×D4×C113—42no—
167C2×D4×C113C2×D412yes—
168C22×C4×C113—21no—
169C22×C4×C113—21no—
170C22×C4×C113—22no—
171C22×C4×C113—22no—
172C22×C4×C113—21no—
173C22×C4×C113—21no—
174C22×C4×C113—21no—
175C22×C4×C113—21no—
176C22×C4×C113—21no—
177C22×C4×C113—21no—
178C22×C4×C113—21no—
179C22×C4×C113—42no—
180C22×C4×C113—42no—
181C22×C4×C113C2×D411yescharacteristic
182C22×C4×C113C2×D411yescharacteristic
183C22×C4×C113C2×D411yescharacteristic
184C22×C4×C113C2×D411yescharacteristic
185C22×C4×C113C2×D411yescharacteristic
186C22×C4×C113C2×D411yescharacteristic
187C22×C4×C113C2×D411yescharacteristic
188C22×C4×C113C2×D411yescharacteristic
189C22×C4×C113C2411yescharacteristic
190M16×C113—42no—
191M16×C113—42no—
192C2×C8×C113—22no—
193C2×C8×C113—22no—
194C4⋊C4×C113—22no—
195C4⋊C4×C113—22no—
196C4⋊C4×C113—22no—
197C4⋊C4×C113—22no—
198C4⋊C4×C113—22no—
199C4⋊C4×C113—21no—
200C4⋊C4×C113—21no—
201C4⋊C4×C113—22no—
202C4⋊C4×C113—21no—
203C4⋊C4×C113—21no—
204C4⋊C4×C113—21no—
205C4⋊C4×C113—21no—
206C4⋊C4×C113—21no—
207C4⋊C4×C113—21no—
208C4⋊C4×C113—42no—
209C4⋊C4×C113—42no—
210C4⋊C4×C113C2×D412yes—
211C4⋊C4×C113C2×D412yes—
212C22⋊C4×C113—22no—
213C22⋊C4×C113—22no—
214C22⋊C4×C113—22no—
215C22⋊C4×C113—22no—
216C22⋊C4×C113—22no—
217C22⋊C4×C113—22no—
218C22⋊C4×C113—21no—
219C22⋊C4×C113—22no—
220C22⋊C4×C113—21no—
221C22⋊C4×C113—22no—
222C22⋊C4×C113—22no—
223C22⋊C4×C113—22no—
224C22⋊C4×C113—21no—
225C22⋊C4×C113—21no—
226C22⋊C4×C113—42no—
227C22⋊C4×C113—42no—
228C22⋊C4×C113—42no—
229C22⋊C4×C113—41no—
230C22⋊C4×C113—41no—
231C42×C113—22no—
232C42×C113—22no—
233C42×C113—21no—
234C42×C113—21no—
235C42×C113—42no—
236C42×C113—41no—
237C42×C113—41no—
238C23×C113—21no—
239C23×C113—21no—
240C23×C113—21no—
241C23×C113—22no—
242C23×C113—21no—
243C23×C113—21no—
244C23×C113—41no—
245C23×C113—41no—
246C23×C113—41no—
247C23×C113—41no—
248C23×C113—42no—
249C23×C113—81no—
250C23×C113—81no—
251C23×C113#12011yescharacteristic
252C23×C113#12011yescharacteristic
253C23×C113C22×D411yescharacteristic
254Q8×C113—42no—
255Q8×C113—42no—
256D4×C113—42no—
257D4×C113—42no—
258D4×C113—42no—
259D4×C113—44no—
260D4×C113—42no—
261D4×C113—42no—
262D4×C113—42no—
263D4×C113—82no—
264D4×C113—82no—
265C2×C4×C113—22no—
266C2×C4×C113—22no—
267C2×C4×C113—22no—
268C2×C4×C113—22no—
269C2×C4×C113—21no—
270C2×C4×C113—21no—
271C2×C4×C113—22no—
272C2×C4×C113—21no—
273C2×C4×C113—22no—
274C2×C4×C113—22no—
275C2×C4×C113—21no—
276C2×C4×C113—21no—
277C2×C4×C113—41no—
278C2×C4×C113—41no—
279C2×C4×C113—41no—
280C2×C4×C113—41no—
281C2×C4×C113—42no—
282C2×C4×C113—41no—
283C2×C4×C113—42no—
284C2×C4×C113—41no—
285C2×C4×C113—41no—
286C2×C4×C113—41no—
287C2×C4×C113—41no—
288C2×C4×C113—41no—
289C2×C4×C113—41no—
290C2×C4×C113—41no—
291C2×C4×C113—41no—
292C2×C4×C113—41no—
293C2×C4×C113—41no—
294C2×C4×C113—41no—
295C2×C4×C113—81no—
296C2×C4×C113—81no—
297C2×C4×C113—81no—
298C2×C4×C113—82no—
299C2×C4×C113—82no—
300C2×C4×C113#12011yescharacteristic
301C2×C4×C113#12011yescharacteristic
302C2×C4×C113C22×D411yescharacteristic
303C2×C4×C113C22×D411yescharacteristic
304C8×C113—42no—
305C8×C113—42no—
306C22×C113—21no—
307C22×C113—21no—
308C22×C113—21no—
309C22×C113—21no—
310C22×C113—21no—
311C22×C113—21no—
312C22×C113—21no—
313C22×C113—21no—
314C22×C113—42no—
315C22×C113—41no—
316C22×C113—42no—
317C22×C113—42no—
318C22×C113—41no—
319C22×C113—41no—
320C22×C113—42no—
321C22×C113—81no—
322C22×C113—81no—
323C22×C113—81no—
324C22×C113—162no—
325C22×C113C2×#12011yescharacteristic
326C22×C113#57511yescharacteristic
327C22×C113#57511yescharacteristic
328C4×C113—21no—
329C4×C113—21no—
330C4×C113—21no—
331C4×C113—42no—
332C4×C113—41no—
333C4×C113—42no—
334C4×C113—41no—
335C4×C113—42no—
336C4×C113—41no—
337C4×C113—42no—
338C4×C113—81no—
339C4×C113—81no—
340C4×C113—81no—
341C4×C113#45812yes—
342#18175C11311yesmaximal, characteristic, direct product factor, Sylow
343C2×C113—21no—
344C2×C113—21no—
345C2×C113—41no—
346C2×C113—41no—
347C2×C113—81no—
348C2×C113—82no—
349C2×C113#300511yescharacteristic
350C2×C113#301811yescharacteristic
351C2×C113C2×#45811yescharacteristic
352#3505C2×C11311yescharacteristic
353#3095C2×C11311yescharacteristic, complemented
354#3094C2×C11311yescharacteristic, complemented
355#2395C2×C11311yescharacteristic, complemented
356#1618C2×C11312yescomplemented
357#1615C2×C11312yescomplemented
358#1612C2×C11312yescomplemented
359#1609C2×C11312yescomplemented
360#1508C2×C11311yescharacteristic, complemented
361#1507C2×C11311yescharacteristic, complemented
362#1465C2×C11311yescharacteristic, complemented
363C113#1817511yescharacteristic, direct product factor, Sylow
364#553—22no—
365#553—21no—
366#552—21no—
367#551—22no—
368#548—21no—
369#546—21no—
370#539C22×C11312yes—
371#538C22×C11312yes—
372#534—21no—
373#529—21no—
374#525—21no—
375C2×C22⋊Q8C22×C11311yescharacteristic
376C2×#121C22×C11311yescharacteristic
377#518—21no—
378C2×C4×D4C22×C11311yescharacteristic
379C2×#117C22×C11311yescharacteristic
380#485—22no—
381#484C22×C11312yescomplemented
382#483C22×C11312yescomplemented
383#482—22no—
384#481C22×C11312yes—
385#480C22×C11312yes—
386#428—21no—
387#428—21no—
388#419—21no—
389#418—21no—
390#407C22×C11311yescharacteristic
391#407C22×C11311yescharacteristic
392#400C22×C11311yescharacteristic, complemented
393#399C22×C11311yescharacteristic, complemented
394#398C22×C11311yescharacteristic, complemented
395#397—21no—
396#397C22×C11311yescharacteristic, complemented
397#394—21no—
398C4×C4⋊C4—21no—
399C4×C22⋊C4—21no—
400C4×C22⋊C4C22×C11311yescharacteristic
401#328C22×C11312yescomplemented
402#328C22×C11312yescomplemented
403#327C22×C11312yes—
404#327C22×C11312yes—
405#324C22×C11312yescomplemented
406#323C22×C11312yescomplemented
407C2×#41—21no—
408C22×Q8D4×C11311yescharacteristic
409C22×D4—21no—
410C22×D4D4×C11311yescharacteristic
411C22×D4D4×C11311yescharacteristic
412C23×C4D4×C11311yescharacteristic
413C23×C4C23×C11311yescharacteristic
414C2×M16—21no—
415C2×M16—21no—
416#126—22no—
417#126—22no—
418#126—22no—
419#125—21no—
420#125—22no—
421#124—21no—
422#124—22no—
423#123—22no—
424#123—22no—
425#123—22no—
426#123—22no—
427#123—22no—
428C22⋊Q8—21no—
429C22⋊Q8—22no—
430C22⋊Q8—21no—
431C22⋊Q8—21no—
432C22⋊Q8D4×C11312yes—
433C22⋊Q8C23×C11312yes—
434#121—21no—
435#121—22no—
436#121—22no—
437#121—22no—
438#121—21no—
439#121—21no—
440#121D4×C11312yes—
441#121C23×C11312yes—
442#120—22no—
443#120—22no—
444C4×Q8—21no—
445C4×D4—22no—
446C4×D4—22no—
447C4×D4—22no—
448C4×D4—21no—
449C4×D4—21no—
450C4×D4—21no—
451C4×D4—21no—
452C4×D4—21no—
453C4×D4—22no—
454C4×D4—22no—
455#117—22no—
456#117—21no—
457#117—22no—
458#117—21no—
459#117—21no—
460#117—21no—
461#117—21no—
462C2×C4⋊C4—21no—
463C2×C4⋊C4—21no—
464C2×C4⋊C4—21no—
465C2×C4⋊C4D4×C11311yescharacteristic
466C2×C4⋊C4D4×C11311yescharacteristic
467C2×C4⋊C4C23×C11311yescharacteristic
468C2×C4⋊C4C23×C11311yescharacteristic
469C2×C4⋊C4C23×C11311yescharacteristic
470C2×C22⋊C4—22no—
471C2×C22⋊C4—21no—
472C2×C22⋊C4—21no—
473C2×C22⋊C4—21no—
474C2×C22⋊C4—21no—
475C2×C22⋊C4—21no—
476C2×C22⋊C4—21no—
477C2×C22⋊C4D4×C11311yescharacteristic
478C2×C22⋊C4C23×C11311yescharacteristic
479C2×C42—21no—
480C2×C42—21no—
481C2×C42D4×C11311yescharacteristic
482#107—22no—
483#107—22no—
484#106—22no—
485#106—22no—
486#103—22no—
487#103—22no—
488#102—22no—
489#102—22no—
490C22⋊C8—21no—
491C22⋊C8—21no—
492C22⋊C8C23×C11312yes—
493C22⋊C8C23×C11312yes—
494#95—21no—
495#95—21no—
496#95—21no—
497#95—21no—
498#95C23×C11311yescharacteristic
499#95C23×C11311yescharacteristic
500C24—21no—
501C24C2×D4×C11311yescharacteristic
502C24C2×D4×C11311yescharacteristic
503#41—82no—
504C2×Q8—21no—
505C2×Q8—42no—
506C2×Q8C2×D4×C11312yes—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—22no—
510C2×D4—22no—
511C2×D4—22no—
512C2×D4—22no—
513C2×D4—21no—
514C2×D4—41no—
515C2×D4—41no—
516C2×D4—42no—
517C2×D4—42no—
518C2×D4—42no—
519C2×D4C2×D4×C11312yes—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4C2×D4×C11311yescharacteristic
534C22×C4C2×D4×C11311yescharacteristic
535C22×C4C2×D4×C11311yescharacteristic
536C22×C4C2×D4×C11311yescharacteristic
537C22×C4C2×D4×C11311yescharacteristic
538C22×C4C2×D4×C11311yescharacteristic
539C22×C4C2×D4×C11311yescharacteristic
540C22×C4C2×D4×C11311yescharacteristic
541C22×C4C24×C11311yescharacteristic
542M16—42no—
543M16—42no—
544C2×C8—22no—
545C2×C8—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—22no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4C2×D4×C11312yes—
563C4⋊C4C2×D4×C11312yes—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—22no—
567C22⋊C4—22no—
568C22⋊C4—22no—
569C22⋊C4—22no—
570C22⋊C4—21no—
571C22⋊C4—22no—
572C22⋊C4—21no—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—21no—
577C22⋊C4—21no—
578C22⋊C4—42no—
579C22⋊C4—42no—
580C22⋊C4—42no—
581C22⋊C4—41no—
582C22⋊C4—41no—
583C42—22no—
584C42—22no—
585C42—21no—
586C42—21no—
587C42—42no—
588C42—41no—
589C42—41no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—22no—
594C23—21no—
595C23—21no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—42no—
601C23—81no—
602C23—81no—
603C23#120×C11311yescharacteristic
604C23#120×C11311yescharacteristic
605C23C22×D4×C11311yescharacteristic
606Q8—42no—
607Q8—42no—
608D4—42no—
609D4—42no—
610D4—42no—
611D4—44no—
612D4—42no—
613D4—42no—
614D4—42no—
615D4—82no—
616D4—82no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—41no—
635C2×C4—42no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—81no—
648C2×C4—81no—
649C2×C4—81no—
650C2×C4—82no—
651C2×C4—82no—
652C2×C4#120×C11311yescharacteristic
653C2×C4#120×C11311yescharacteristic
654C2×C4C22×D4×C11311yescharacteristic
655C2×C4C22×D4×C11311yescharacteristic
656C8—42no—
657C8—42no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—21no—
663C22—21no—
664C22—21no—
665C22—21no—
666C22—42no—
667C22—41no—
668C22—42no—
669C22—42no—
670C22—41no—
671C22—41no—
672C22—42no—
673C22—81no—
674C22—81no—
675C22—81no—
676C22—162no—
677C22C2×#120×C11311yescharacteristic
678C22#575×C11311yescharacteristic
679C22#575×C11311yescharacteristic
680C4—21no—
681C4—21no—
682C4—21no—
683C4—42no—
684C4—41no—
685C4—42no—
686C4—41no—
687C4—42no—
688C4—41no—
689C4—42no—
690C4—81no—
691C4—81no—
692C4—81no—
693C4#458×C11312yes—
694C2—21no—
695C2—21no—
696C2—41no—
697C2—41no—
698C2—81no—
699C2—82no—
700C2C113×#300511yescharacteristic
701C2C113×#301811yescharacteristic
702C2C2×#458×C11311yescharacteristic
subgroupG/H
center, socleC22×C113C2×#120
commutator, Frattini, cosocleC22×C4C24×C113
prime radicalC113×#3505C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C113 ◁ C23×C4×C113 ◁ G

Complements

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

NH ≅ G/Ntype
2. C113×#3095C2semidirect
3. C113×#3094C2semidirect
4. C113×#2395C2semidirect
5. C113×#1618C2semidirect
6. C113×#1615C2semidirect
7. C113×#1612C2semidirect
8. C113×#1609C2semidirect
9. C113×#1508C2semidirect
10. C113×#1507C2semidirect
11. C113×#1465C2semidirect
29. #484×C113C22semidirect
30. #483×C113C22semidirect
40. #400×C113C22semidirect
41. #399×C113C22semidirect
42. #398×C113C22semidirect
44. #397×C113C22semidirect
49. #328×C113C22semidirect
50. #328×C113C22semidirect
53. #324×C113C22semidirect
54. #323×C113C22semidirect
342. #18175C113direct (N × H)
353. #3095C2×C113semidirect
354. #3094C2×C113semidirect
355. #2395C2×C113semidirect
356. #1618C2×C113semidirect
357. #1615C2×C113semidirect
358. #1612C2×C113semidirect
359. #1609C2×C113semidirect
360. #1508C2×C113semidirect
361. #1507C2×C113semidirect
362. #1465C2×C113semidirect
363. C113#18175direct (N × H)
381. #484C22×C113semidirect
382. #483C22×C113semidirect
392. #400C22×C113semidirect
393. #399C22×C113semidirect
394. #398C22×C113semidirect
396. #397C22×C113semidirect
401. #328C22×C113semidirect
402. #328C22×C113semidirect
405. #324C22×C113semidirect
406. #323C22×C113semidirect

Maximal subgroups

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

subgroupindex
C113×#35052
C113×#30952
C113×#30942
C113×#23952
C113×#16182
C113×#16152
C113×#16122
C113×#16092
C113×#15082
C113×#15072
C113×#14652
#18175113