Finite Group Databasebeta

← C113×#18254 #43286274

Subgroups — C113×#18254 #43286274

Order 28928.

1508 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C113×#3537C211yesmaximal, characteristic, complemented
2C113×#3003C211yesmaximal, characteristic, complemented
3C2×#447×C113C211yesmaximal, characteristic, complemented
4C113×#2433C211yesmaximal, characteristic, complemented
5C113×#1600C214yesmaximal, complemented
6C113×#1595C214yesmaximal, complemented
7C113×#1507C211yesmaximal, characteristic, complemented
8C113×#1501C211yesmaximal, characteristic, complemented
9C113×#1471C211yesmaximal, characteristic, complemented
10C23×D4×C113C2211yescharacteristic, complemented
11C2×AGL(1,ℤ/8)×C113—21no—
12C22×D8×C113—21no—
13#560×C113—22no—
14#553×C113—21no—
15#553×C113—21no—
16D42×C113—22no—
17D42×C113—21no—
18D42×C113—21no—
19#540×C113—21no—
20#538×C113—21no—
21#538×C113C2212yescomplemented
22#535×C113—21no—
23#534×C113—21no—
24#534×C113C2212yescomplemented
25C2×#127×C113—21no—
26#525×C113C2211yescharacteristic
27C2×#121×C113C2211yescharacteristic
28C2×#121×C113C2211yescharacteristic
29C2×#120×C113—22no—
30#450×C113—21no—
31#450×C113C2212yescomplemented
32#447×C113—22no—
33#447×C113—21no—
34#447×C113C2212yescomplemented
35#447×C113C2214yescomplemented
36#418×C113—21no—
37C2×#102×C113—21no—
38#407×C113C2211yescharacteristic, complemented
39C2×C22⋊C8×C113C2211yescharacteristic, complemented
40#392×C113C2214yescomplemented
41#390×C113—21no—
42C4×C22⋊C4×C113C2211yescharacteristic, complemented
43#328×C113C2212yescomplemented
44#327×C113C2212yescomplemented
45#327×C113C2214yescomplemented
46#323×C113C2214yescomplemented
47C25×C113—21no—
48C2×#41×C113D411yescharacteristic, complemented
49C22×D4×C113—22no—
50C22×D4×C113—21no—
51C22×D4×C113—21no—
52C22×D4×C113—22no—
53C22×D4×C113—24no—
54C22×D4×C113—21no—
55C22×D4×C113—21no—
56C22×D4×C113—21no—
57C22×D4×C113—21no—
58C22×D4×C113—21no—
59C22×D4×C113—44no—
60C22×D4×C113D412yes—
61C22×D4×C113D411yescharacteristic
62C22×D4×C113D411yescharacteristic, complemented
63C22×D4×C113C2312yes—
64C23×C4×C113C2311yescharacteristic
65AGL(1,ℤ/8)×C113—44no—
66C2×SD16×C113—22no—
67C2×D8×C113—24no—
68C2×D8×C113—22no—
69C2×D8×C113—44no—
70C2×M16×C113—21no—
71C22×C8×C113—21no—
72#127×C113—22no—
73#127×C113—21no—
74#127×C113—44no—
75#126×C113—22no—
76#126×C113—22no—
77#125×C113—21no—
78#124×C113—22no—
79#123×C113—22no—
80#123×C113—21no—
81#123×C113—22no—
82#123×C113—22no—
83#123×C113—22no—
84C22⋊Q8×C113D411yescharacteristic, complemented
85C22⋊Q8×C113C2311yescharacteristic
86#121×C113—22no—
87#121×C113—21no—
88#121×C113—21no—
89#121×C113—22no—
90#121×C113—22no—
91#121×C113—22no—
92#121×C113—22no—
93#121×C113—21no—
94#121×C113—21no—
95#121×C113—21no—
96#121×C113—21no—
97#121×C113—21no—
98#121×C113—21no—
99#121×C113—22no—
100#121×C113D412yescomplemented
101#121×C113D411yescharacteristic, complemented
102#121×C113C2312yes—
103#121×C113C2311yescharacteristic
104#120×C113—22no—
105#120×C113—22no—
106#120×C113—22no—
107#120×C113—21no—
108#120×C113—22no—
109#120×C113—22no—
110#120×C113—22no—
111#120×C113—48no—
112C4×D4×C113—22no—
113C4×D4×C113—21no—
114C4×D4×C113—21no—
115C4×D4×C113—21no—
116C4×D4×C113—21no—
117C4×D4×C113—22no—
118#117×C113—21no—
119#117×C113D411yescharacteristic, complemented
120C2×C4⋊C4×C113D411yescharacteristic
121C2×C4⋊C4×C113D411yescharacteristic, complemented
122C2×C22⋊C4×C113—21no—
123C2×C22⋊C4×C113—21no—
124C2×C22⋊C4×C113—24no—
125C2×C22⋊C4×C113C2312yes—
126C2×C42×C113—21no—
127#102×C113—24no—
128#102×C113—22no—
129#102×C113—22no—
130C22⋊C8×C113—21no—
131C22⋊C8×C113—21no—
132C22⋊C8×C113C2312yes—
133C22⋊C8×C113C2312yes—
134#95×C113C2312yes—
135C24×C113—22no—
136C24×C113—22no—
137C24×C113—21no—
138C24×C113—44no—
139C24×C113—44no—
140C24×C113—41no—
141C24×C113—41no—
142C24×C113—82no—
143C24×C113C2×D411yescharacteristic
144C24×C113C2×D412yes—
145#41×C113—42no—
146C2×Q8×C113C2×D411yescharacteristic
147C2×D4×C113—24no—
148C2×D4×C113—24no—
149C2×D4×C113—24no—
150C2×D4×C113—22no—
151C2×D4×C113—21no—
152C2×D4×C113—21no—
153C2×D4×C113—22no—
154C2×D4×C113—22no—
155C2×D4×C113—22no—
156C2×D4×C113—22no—
157C2×D4×C113—22no—
158C2×D4×C113—22no—
159C2×D4×C113—21no—
160C2×D4×C113—22no—
161C2×D4×C113—22no—
162C2×D4×C113—21no—
163C2×D4×C113—21no—
164C2×D4×C113—21no—
165C2×D4×C113—22no—
166C2×D4×C113—22no—
167C2×D4×C113—42no—
168C2×D4×C113—42no—
169C2×D4×C113—42no—
170C2×D4×C113—42no—
171C2×D4×C113—42no—
172C2×D4×C113—48no—
173C2×D4×C113—44no—
174C2×D4×C113—44no—
175C2×D4×C113—44no—
176C2×D4×C113—44no—
177C2×D4×C113—48no—
178C2×D4×C113—41no—
179C2×D4×C113—41no—
180C2×D4×C113—82no—
181C2×D4×C113—84no—
182C2×D4×C113—82no—
183C2×D4×C113—84no—
184C2×D4×C113—84no—
185C2×D4×C113C2×D411yescharacteristic
186C2×D4×C113C2×D412yes—
187C22×C4×C113—22no—
188C22×C4×C113—22no—
189C22×C4×C113—22no—
190C22×C4×C113—21no—
191C22×C4×C113—21no—
192C22×C4×C113—42no—
193C22×C4×C113C2×D411yescharacteristic
194C22×C4×C113C2×D411yescharacteristic
195C22×C4×C113C2×D411yescharacteristic
196C22×C4×C113C2×D412yes—
197C22×C4×C113C2×D411yescharacteristic
198C22×C4×C113C2×D411yescharacteristic
199C22×C4×C113C2411yescharacteristic
200SD16×C113—44no—
201D8×C113—48no—
202D8×C113—44no—
203M16×C113—42no—
204C2×C8×C113—22no—
205C2×C8×C113—22no—
206C2×C8×C113—42no—
207C4⋊C4×C113—22no—
208C4⋊C4×C113—22no—
209C4⋊C4×C113—21no—
210C4⋊C4×C113—21no—
211C4⋊C4×C113—21no—
212C4⋊C4×C113—21no—
213C4⋊C4×C113—21no—
214C4⋊C4×C113C2×D412yes—
215C4⋊C4×C113C2×D411yescharacteristic
216C4⋊C4×C113C2×D411yescharacteristic
217C22⋊C4×C113—24no—
218C22⋊C4×C113—22no—
219C22⋊C4×C113—22no—
220C22⋊C4×C113—22no—
221C22⋊C4×C113—22no—
222C22⋊C4×C113—22no—
223C22⋊C4×C113—21no—
224C22⋊C4×C113—21no—
225C22⋊C4×C113—21no—
226C22⋊C4×C113—22no—
227C22⋊C4×C113—21no—
228C22⋊C4×C113—22no—
229C22⋊C4×C113—22no—
230C22⋊C4×C113—22no—
231C22⋊C4×C113—21no—
232C22⋊C4×C113—48no—
233C42×C113—22no—
234C42×C113—21no—
235C42×C113—42no—
236C23×C113—22no—
237C23×C113—22no—
238C23×C113—24no—
239C23×C113—22no—
240C23×C113—22no—
241C23×C113—21no—
242C23×C113—24no—
243C23×C113—41no—
244C23×C113—44no—
245C23×C113—44no—
246C23×C113—44no—
247C23×C113—42no—
248C23×C113—42no—
249C23×C113—42no—
250C23×C113—42no—
251C23×C113—44no—
252C23×C113—42no—
253C23×C113—81no—
254C23×C113—81no—
255C23×C113—82no—
256C23×C113—82no—
257C23×C113—82no—
258C23×C113—82no—
259C23×C113—82no—
260C23×C113—82no—
261C23×C113—816no—
262C23×C113—82no—
263C23×C113#12011yescharacteristic
264C23×C113#12011yescharacteristic
265C23×C113C22×D411yescharacteristic
266Q8×C113—41no—
267D4×C113—24no—
268D4×C113—24no—
269D4×C113—42no—
270D4×C113—41no—
271D4×C113—42no—
272D4×C113—42no—
273D4×C113—44no—
274D4×C113—44no—
275D4×C113—42no—
276D4×C113—44no—
277D4×C113—42no—
278D4×C113—44no—
279D4×C113—42no—
280D4×C113—42no—
281D4×C113—81no—
282D4×C113—82no—
283D4×C113—82no—
284D4×C113—81no—
285D4×C113—82no—
286D4×C113—82no—
287D4×C113—82no—
288D4×C113—82no—
289D4×C113—82no—
290D4×C113—816no—
291C2×C4×C113—22no—
292C2×C4×C113—22no—
293C2×C4×C113—22no—
294C2×C4×C113—24no—
295C2×C4×C113—21no—
296C2×C4×C113—22no—
297C2×C4×C113—22no—
298C2×C4×C113—21no—
299C2×C4×C113—21no—
300C2×C4×C113—41no—
301C2×C4×C113—41no—
302C2×C4×C113—41no—
303C2×C4×C113—42no—
304C2×C4×C113—42no—
305C2×C4×C113—42no—
306C2×C4×C113—42no—
307C2×C4×C113—81no—
308C2×C4×C113—82no—
309C2×C4×C113—82no—
310C2×C4×C113#12011yescharacteristic
311C2×C4×C113#12011yescharacteristic
312C2×C4×C113C22×D411yescharacteristic
313C2×C4×C113C22×D411yescharacteristic
314C8×C113—42no—
315C8×C113—42no—
316C22×C113—21no—
317C22×C113—21no—
318C22×C113—21no—
319C22×C113—21no—
320C22×C113—21no—
321C22×C113—21no—
322C22×C113—21no—
323C22×C113—44no—
324C22×C113—48no—
325C22×C113—42no—
326C22×C113—42no—
327C22×C113—41no—
328C22×C113—42no—
329C22×C113—42no—
330C22×C113—41no—
331C22×C113—41no—
332C22×C113—44no—
333C22×C113—42no—
334C22×C113—42no—
335C22×C113—84no—
336C22×C113—84no—
337C22×C113—88no—
338C22×C113—88no—
339C22×C113—82no—
340C22×C113—82no—
341C22×C113—162no—
342C22×C113—164no—
343C22×C113#45312yes—
344C22×C113C2×#12011yescharacteristic
345C22×C113#57612yes—
346C4×C113—21no—
347C4×C113—21no—
348C4×C113—21no—
349C4×C113—44no—
350C4×C113—42no—
351C4×C113—41no—
352C4×C113—42no—
353C4×C113—41no—
354C4×C113—41no—
355C4×C113B(4,𝔽2)12yes—
356#18254C11311yesmaximal, characteristic, direct product factor, Sylow
357C2×C113—22no—
358C2×C113—22no—
359C2×C113—41no—
360C2×C113—84no—
361C2×C113—82no—
362C2×C113—82no—
363C2×C113—81no—
364C2×C113#300811yescharacteristic
365C2×C113C2×#45311yescharacteristic
366C2×C113C2×B(4,𝔽2)11yescharacteristic
367#3537C2×C11311yescharacteristic, complemented
368#3003C2×C11311yescharacteristic, complemented
369C2×#447C2×C11311yescharacteristic, complemented
370#2433C2×C11311yescharacteristic, complemented
371#1600C2×C11314yescomplemented
372#1595C2×C11314yescomplemented
373#1507C2×C11311yescharacteristic, complemented
374#1501C2×C11311yescharacteristic, complemented
375#1471C2×C11311yescharacteristic, complemented
376C113#1825411yescharacteristic, direct product factor, Sylow
377C23×D4C22×C11311yescharacteristic, complemented
378C2×AGL(1,ℤ/8)—21no—
379C22×D8—21no—
380#560—22no—
381#553—21no—
382#553—21no—
383D42—22no—
384D42—21no—
385D42—21no—
386#540—21no—
387#538—21no—
388#538C22×C11312yescomplemented
389#535—21no—
390#534—21no—
391#534C22×C11312yescomplemented
392C2×#127—21no—
393#525C22×C11311yescharacteristic
394C2×#121C22×C11311yescharacteristic
395C2×#121C22×C11311yescharacteristic
396C2×#120—22no—
397#450—21no—
398#450C22×C11312yescomplemented
399#447—22no—
400#447—21no—
401#447C22×C11312yescomplemented
402#447C22×C11314yescomplemented
403#418—21no—
404C2×#102—21no—
405#407C22×C11311yescharacteristic, complemented
406C2×C22⋊C8C22×C11311yescharacteristic, complemented
407#392C22×C11314yescomplemented
408#390—21no—
409C4×C22⋊C4C22×C11311yescharacteristic, complemented
410#328C22×C11312yescomplemented
411#327C22×C11312yescomplemented
412#327C22×C11314yescomplemented
413#323C22×C11314yescomplemented
414C25—21no—
415C2×#41D4×C11311yescharacteristic, complemented
416C22×D4—22no—
417C22×D4—21no—
418C22×D4—21no—
419C22×D4—22no—
420C22×D4—24no—
421C22×D4—21no—
422C22×D4—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—44no—
427C22×D4D4×C11312yes—
428C22×D4D4×C11311yescharacteristic
429C22×D4D4×C11311yescharacteristic, complemented
430C22×D4C23×C11312yes—
431C23×C4C23×C11311yescharacteristic
432AGL(1,ℤ/8)—44no—
433C2×SD16—22no—
434C2×D8—24no—
435C2×D8—22no—
436C2×D8—44no—
437C2×M16—21no—
438C22×C8—21no—
439#127—22no—
440#127—21no—
441#127—44no—
442#126—22no—
443#126—22no—
444#125—21no—
445#124—22no—
446#123—22no—
447#123—21no—
448#123—22no—
449#123—22no—
450#123—22no—
451C22⋊Q8D4×C11311yescharacteristic, complemented
452C22⋊Q8C23×C11311yescharacteristic
453#121—22no—
454#121—21no—
455#121—21no—
456#121—22no—
457#121—22no—
458#121—22no—
459#121—22no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121—21no—
464#121—21no—
465#121—21no—
466#121—22no—
467#121D4×C11312yescomplemented
468#121D4×C11311yescharacteristic, complemented
469#121C23×C11312yes—
470#121C23×C11311yescharacteristic
471#120—22no—
472#120—22no—
473#120—22no—
474#120—21no—
475#120—22no—
476#120—22no—
477#120—22no—
478#120—48no—
479C4×D4—22no—
480C4×D4—21no—
481C4×D4—21no—
482C4×D4—21no—
483C4×D4—21no—
484C4×D4—22no—
485#117—21no—
486#117D4×C11311yescharacteristic, complemented
487C2×C4⋊C4D4×C11311yescharacteristic
488C2×C4⋊C4D4×C11311yescharacteristic, complemented
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—24no—
492C2×C22⋊C4C23×C11312yes—
493C2×C42—21no—
494#102—24no—
495#102—22no—
496#102—22no—
497C22⋊C8—21no—
498C22⋊C8—21no—
499C22⋊C8C23×C11312yes—
500C22⋊C8C23×C11312yes—
501#95C23×C11312yes—
502C24—22no—
503C24—22no—
504C24—21no—
505C24—44no—
506C24—44no—
507C24—41no—
508C24—41no—
509C24—82no—
510C24C2×D4×C11311yescharacteristic
511C24C2×D4×C11312yes—
512#41—42no—
513C2×Q8C2×D4×C11311yescharacteristic
514C2×D4—24no—
515C2×D4—24no—
516C2×D4—24no—
517C2×D4—22no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—22no—
526C2×D4—21no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—42no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—42no—
538C2×D4—42no—
539C2×D4—48no—
540C2×D4—44no—
541C2×D4—44no—
542C2×D4—44no—
543C2×D4—44no—
544C2×D4—48no—
545C2×D4—41no—
546C2×D4—41no—
547C2×D4—82no—
548C2×D4—84no—
549C2×D4—82no—
550C2×D4—84no—
551C2×D4—84no—
552C2×D4C2×D4×C11311yescharacteristic
553C2×D4C2×D4×C11312yes—
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—42no—
560C22×C4C2×D4×C11311yescharacteristic
561C22×C4C2×D4×C11311yescharacteristic
562C22×C4C2×D4×C11311yescharacteristic
563C22×C4C2×D4×C11312yes—
564C22×C4C2×D4×C11311yescharacteristic
565C22×C4C2×D4×C11311yescharacteristic
566C22×C4C24×C11311yescharacteristic
567SD16—44no—
568D8—48no—
569D8—44no—
570M16—42no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—42no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4C2×D4×C11312yes—
582C4⋊C4C2×D4×C11311yescharacteristic
583C4⋊C4C2×D4×C11311yescharacteristic
584C22⋊C4—24no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—21no—
591C22⋊C4—21no—
592C22⋊C4—21no—
593C22⋊C4—22no—
594C22⋊C4—21no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—21no—
599C22⋊C4—48no—
600C42—22no—
601C42—21no—
602C42—42no—
603C23—22no—
604C23—22no—
605C23—24no—
606C23—22no—
607C23—22no—
608C23—21no—
609C23—24no—
610C23—41no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—44no—
619C23—42no—
620C23—81no—
621C23—81no—
622C23—82no—
623C23—82no—
624C23—82no—
625C23—82no—
626C23—82no—
627C23—82no—
628C23—816no—
629C23—82no—
630C23#120×C11311yescharacteristic
631C23#120×C11311yescharacteristic
632C23C22×D4×C11311yescharacteristic
633Q8—41no—
634D4—24no—
635D4—24no—
636D4—42no—
637D4—41no—
638D4—42no—
639D4—42no—
640D4—44no—
641D4—44no—
642D4—42no—
643D4—44no—
644D4—42no—
645D4—44no—
646D4—42no—
647D4—42no—
648D4—81no—
649D4—82no—
650D4—82no—
651D4—81no—
652D4—82no—
653D4—82no—
654D4—82no—
655D4—82no—
656D4—82no—
657D4—816no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—81no—
675C2×C4—82no—
676C2×C4—82no—
677C2×C4#120×C11311yescharacteristic
678C2×C4#120×C11311yescharacteristic
679C2×C4C22×D4×C11311yescharacteristic
680C2×C4C22×D4×C11311yescharacteristic
681C8—42no—
682C8—42no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—21no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—44no—
691C22—48no—
692C22—42no—
693C22—42no—
694C22—41no—
695C22—42no—
696C22—42no—
697C22—41no—
698C22—41no—
699C22—44no—
700C22—42no—
701C22—42no—
702C22—84no—
703C22—84no—
704C22—88no—
705C22—88no—
706C22—82no—
707C22—82no—
708C22—162no—
709C22—164no—
710C22#453×C11312yes—
711C22C2×#120×C11311yescharacteristic
712C22#576×C11312yes—
713C4—21no—
714C4—21no—
715C4—21no—
716C4—44no—
717C4—42no—
718C4—41no—
719C4—42no—
720C4—41no—
721C4—41no—
722C4B(4,𝔽2)×C11312yes—
723C2—22no—
724C2—22no—
725C2—41no—
726C2—84no—
727C2—82no—
728C2—82no—
729C2—81no—
730C2C113×#300811yescharacteristic
731C2C2×#453×C11311yescharacteristic
732C2C2×B(4,𝔽2)×C11311yescharacteristic
subgroupG/H
center, socleC22×C113C2×#120
commutator, Frattini, cosocleC22×C4C24×C113
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
1. C113×#3537C2semidirect
2. C113×#3003C2semidirect
3. C2×#447×C113C2semidirect
4. C113×#2433C2semidirect
5. C113×#1600C2semidirect
6. C113×#1595C2semidirect
7. C113×#1507C2semidirect
8. C113×#1501C2semidirect
9. C113×#1471C2semidirect
10. C23×D4×C113C22semidirect
21. #538×C113C22semidirect
24. #534×C113C22semidirect
31. #450×C113C22semidirect
34. #447×C113C22semidirect
35. #447×C113C22semidirect
38. #407×C113C22semidirect
39. C2×C22⋊C8×C113C22semidirect
40. #392×C113C22semidirect
42. C4×C22⋊C4×C113C22semidirect
43. #328×C113C22semidirect
44. #327×C113C22semidirect
45. #327×C113C22semidirect
46. #323×C113C22semidirect
48. C2×#41×C113D4semidirect
62. C22×D4×C113D4semidirect
84. C22⋊Q8×C113D4semidirect
100. #121×C113D4semidirect
101. #121×C113D4semidirect
119. #117×C113D4semidirect
121. C2×C4⋊C4×C113D4semidirect
356. #18254C113direct (N × H)
367. #3537C2×C113semidirect
368. #3003C2×C113semidirect
369. C2×#447C2×C113semidirect
370. #2433C2×C113semidirect
371. #1600C2×C113semidirect
372. #1595C2×C113semidirect
373. #1507C2×C113semidirect
374. #1501C2×C113semidirect
375. #1471C2×C113semidirect
376. C113#18254direct (N × H)
377. C23×D4C22×C113semidirect
388. #538C22×C113semidirect
391. #534C22×C113semidirect
398. #450C22×C113semidirect
401. #447C22×C113semidirect
402. #447C22×C113semidirect
405. #407C22×C113semidirect
406. C2×C22⋊C8C22×C113semidirect
407. #392C22×C113semidirect
409. C4×C22⋊C4C22×C113semidirect
410. #328C22×C113semidirect
411. #327C22×C113semidirect
412. #327C22×C113semidirect
413. #323C22×C113semidirect
415. C2×#41D4×C113semidirect
429. C22×D4D4×C113semidirect
451. C22⋊Q8D4×C113semidirect
467. #121D4×C113semidirect
468. #121D4×C113semidirect
486. #117D4×C113semidirect
488. C2×C4⋊C4D4×C113semidirect

Maximal subgroups

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

subgroupindex
C113×#35372
C113×#30032
C2×#447×C1132
C113×#24332
C113×#16002
C113×#15952
C113×#15072
C113×#15012
C113×#14712
#18254113