Finite Group Databasebeta

← C113×#18376 #43286396

Subgroups — C113×#18376 #43286396

Order 28928.

1196 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C113×#3490C211yesmaximal, characteristic, complemented
2C113×#3188C212yesmaximal, complemented
3C113×#2539C211yesmaximal, characteristic, complemented
4C113×#1618C212yesmaximal, complemented
5C113×#1614C211yesmaximal, characteristic, complemented
6C113×#1613C211yesmaximal, characteristic, complemented
7C113×#1600C212yesmaximal, complemented
8C113×#1596C211yesmaximal, characteristic, complemented
9C113×#1595C211yesmaximal, characteristic, complemented
10C113×#1501C212yesmaximal, complemented
11C2×#323×C113C211yesmaximal, characteristic, complemented
12#551×C113—22no—
13#551×C113—22no—
14#546×C113—22no—
15#546×C113—22no—
16#543×C113C2211yescharacteristic
17#538×C113—21no—
18#538×C113C2212yes—
19#534×C113C2211yescharacteristic
20#525×C113—21no—
21#525×C113C2212yes—
22C2×#123×C113—21no—
23C2×#121×C113C2211yescharacteristic, complemented
24C2×#120×C113—21no—
25C2×#120×C113—21no—
26#518×C113—21no—
27C22×C22⋊C4×C113C2211yescharacteristic
28#484×C113C2212yescomplemented
29#482×C113—22no—
30#481×C113C2212yescomplemented
31#466×C113—22no—
32#465×C113—22no—
33#450×C113C2212yescomplemented
34#449×C113—22no—
35#447×C113C2212yescomplemented
36C2×C22⋊C8×C113C2212yescomplemented
37#399×C113C2211yescharacteristic
38#399×C113C2211yescharacteristic, complemented
39#392×C113C2211yescharacteristic
40#392×C113C2211yescharacteristic, complemented
41#390×C113—21no—
42#390×C113—21no—
43C4×C22⋊C4×C113C2211yescharacteristic, complemented
44#328×C113C2212yescomplemented
45#328×C113C2212yescomplemented
46#327×C113C2212yescomplemented
47#327×C113C2212yescomplemented
48#323×C113C2211yescharacteristic
49#323×C113C2211yescharacteristic
50#323×C113C2212yescomplemented
51C25×C113D411yescharacteristic
52C2×#41×C113—21no—
53C2×#41×C113D412yescomplemented
54C22×D4×C113—21no—
55C22×D4×C113—21no—
56C22×D4×C113—21no—
57C22×D4×C113—21no—
58C22×D4×C113—21no—
59C22×D4×C113—21no—
60C22×D4×C113C2311yescharacteristic
61C23×C4×C113D411yescharacteristic
62C23×C4×C113C2311yescharacteristic
63C2×SD16×C113—22no—
64C2×D8×C113—22no—
65C22×C8×C113—22no—
66#126×C113—22no—
67#126×C113—22no—
68#124×C113—22no—
69#124×C113—22no—
70#123×C113—22no—
71#123×C113—22no—
72#123×C113—22no—
73#123×C113—22no—
74#123×C113—22no—
75#123×C113—44no—
76C22⋊Q8×C113—21no—
77C22⋊Q8×C113—22no—
78C22⋊Q8×C113—21no—
79C22⋊Q8×C113—22no—
80C22⋊Q8×C113D412yescomplemented
81C22⋊Q8×C113C2312yes—
82#121×C113—21no—
83#121×C113—22no—
84#121×C113—22no—
85#121×C113—21no—
86#121×C113—22no—
87#121×C113—22no—
88#121×C113D412yescomplemented
89#121×C113C2312yes—
90#120×C113—22no—
91#120×C113—22no—
92#120×C113—22no—
93#120×C113—22no—
94#120×C113—22no—
95#120×C113—44no—
96C4×D4×C113—22no—
97C4×D4×C113—22no—
98C4×D4×C113—22no—
99C4×D4×C113—22no—
100C4×D4×C113—22no—
101C4×D4×C113—22no—
102#117×C113—22no—
103#117×C113—21no—
104#117×C113D412yescomplemented
105C2×C4⋊C4×C113—21no—
106C2×C4⋊C4×C113—21no—
107C2×C4⋊C4×C113C2311yescharacteristic
108C2×C22⋊C4×C113—22no—
109C2×C22⋊C4×C113—21no—
110C2×C22⋊C4×C113—21no—
111C2×C22⋊C4×C113—21no—
112C2×C22⋊C4×C113—21no—
113C2×C22⋊C4×C113—22no—
114C2×C22⋊C4×C113—22no—
115C2×C22⋊C4×C113—21no—
116C2×C22⋊C4×C113—21no—
117C2×C22⋊C4×C113—21no—
118C2×C22⋊C4×C113—21no—
119C2×C22⋊C4×C113—21no—
120C2×C22⋊C4×C113D411yescharacteristic
121C2×C22⋊C4×C113D411yescharacteristic
122C2×C22⋊C4×C113C2311yescharacteristic
123C2×C22⋊C4×C113C2311yescharacteristic
124C2×C42×C113—21no—
125#107×C113—22no—
126#106×C113—22no—
127#103×C113—22no—
128#102×C113—22no—
129#102×C113—22no—
130#102×C113—22no—
131C22⋊C8×C113—22no—
132C22⋊C8×C113C2312yes—
133C22⋊C8×C113C2312yes—
134#95×C113C2311yescharacteristic
135#95×C113C2311yescharacteristic
136C24×C113—21no—
137C24×C113—21no—
138C24×C113—21no—
139C24×C113—22no—
140C24×C113—21no—
141C24×C113—41no—
142C24×C113—42no—
143C24×C113—81no—
144C24×C113C2×D411yescharacteristic
145C24×C113C2×D411yescharacteristic
146C24×C113C2×D411yescharacteristic
147#41×C113—82no—
148#41×C113—82no—
149C2×Q8×C113—21no—
150C2×Q8×C113C2×D412yes—
151C2×D4×C113—22no—
152C2×D4×C113—22no—
153C2×D4×C113—22no—
154C2×D4×C113—22no—
155C2×D4×C113—21no—
156C2×D4×C113—22no—
157C2×D4×C113—22no—
158C2×D4×C113—22no—
159C2×D4×C113—42no—
160C2×D4×C113—42no—
161C2×D4×C113—42no—
162C2×D4×C113—42no—
163C2×D4×C113—42no—
164C2×D4×C113—42no—
165C2×D4×C113—42no—
166C2×D4×C113—41no—
167C2×D4×C113—41no—
168C2×D4×C113—42no—
169C2×D4×C113—81no—
170C2×D4×C113—81no—
171C2×D4×C113—81no—
172C2×D4×C113—82no—
173C2×D4×C113—82no—
174C2×D4×C113C2×D412yes—
175C22×C4×C113—21no—
176C22×C4×C113—21no—
177C22×C4×C113—21no—
178C22×C4×C113—21no—
179C22×C4×C113—21no—
180C22×C4×C113—21no—
181C22×C4×C113—22no—
182C22×C4×C113—21no—
183C22×C4×C113—22no—
184C22×C4×C113—21no—
185C22×C4×C113—42no—
186C22×C4×C113—81no—
187C22×C4×C113C2×D411yescharacteristic
188C22×C4×C113C2×D411yescharacteristic
189C22×C4×C113C2×D411yescharacteristic
190C22×C4×C113C2×D412yes—
191C22×C4×C113C2×D412yes—
192C22×C4×C113C2411yescharacteristic
193SD16×C113—82no—
194D8×C113—82no—
195C2×C8×C113—22no—
196C2×C8×C113—22no—
197C2×C8×C113—82no—
198C4⋊C4×C113—22no—
199C4⋊C4×C113—21no—
200C4⋊C4×C113—21no—
201C4⋊C4×C113—22no—
202C4⋊C4×C113—22no—
203C4⋊C4×C113—22no—
204C4⋊C4×C113—22no—
205C4⋊C4×C113—42no—
206C4⋊C4×C113—42no—
207C4⋊C4×C113C2×D412yes—
208C4⋊C4×C113C2×D412yes—
209C22⋊C4×C113—22no—
210C22⋊C4×C113—22no—
211C22⋊C4×C113—22no—
212C22⋊C4×C113—22no—
213C22⋊C4×C113—24no—
214C22⋊C4×C113—22no—
215C22⋊C4×C113—22no—
216C22⋊C4×C113—22no—
217C22⋊C4×C113—22no—
218C22⋊C4×C113—22no—
219C22⋊C4×C113—22no—
220C22⋊C4×C113—22no—
221C22⋊C4×C113—22no—
222C22⋊C4×C113—22no—
223C22⋊C4×C113—22no—
224C22⋊C4×C113—42no—
225C22⋊C4×C113—42no—
226C22⋊C4×C113—42no—
227C22⋊C4×C113—42no—
228C22⋊C4×C113—42no—
229C42×C113—22no—
230C42×C113—22no—
231C42×C113—81no—
232C23×C113—21no—
233C23×C113—21no—
234C23×C113—21no—
235C23×C113—22no—
236C23×C113—21no—
237C23×C113—21no—
238C23×C113—22no—
239C23×C113—21no—
240C23×C113—21no—
241C23×C113—41no—
242C23×C113—42no—
243C23×C113—42no—
244C23×C113—41no—
245C23×C113—41no—
246C23×C113—41no—
247C23×C113—41no—
248C23×C113—42no—
249C23×C113—42no—
250C23×C113—41no—
251C23×C113—41no—
252C23×C113—41no—
253C23×C113—41no—
254C23×C113—42no—
255C23×C113—41no—
256C23×C113—41no—
257C23×C113—41no—
258C23×C113—81no—
259C23×C113—81no—
260C23×C113—81no—
261C23×C113—81no—
262C23×C113—84no—
263C23×C113—84no—
264C23×C113#12011yescharacteristic
265C23×C113#12011yescharacteristic
266C23×C113#13512yes—
267C23×C113C22×D411yescharacteristic
268Q8×C113—42no—
269Q8×C113—81no—
270D4×C113—42no—
271D4×C113—42no—
272D4×C113—42no—
273D4×C113—44no—
274D4×C113—44no—
275D4×C113—42no—
276D4×C113—42no—
277D4×C113—44no—
278D4×C113—82no—
279D4×C113—82no—
280D4×C113—81no—
281D4×C113—84no—
282D4×C113—84no—
283D4×C113—82no—
284D4×C113—82no—
285C2×C4×C113—22no—
286C2×C4×C113—22no—
287C2×C4×C113—22no—
288C2×C4×C113—21no—
289C2×C4×C113—22no—
290C2×C4×C113—22no—
291C2×C4×C113—21no—
292C2×C4×C113—41no—
293C2×C4×C113—42no—
294C2×C4×C113—42no—
295C2×C4×C113—41no—
296C2×C4×C113—41no—
297C2×C4×C113—41no—
298C2×C4×C113—42no—
299C2×C4×C113—41no—
300C2×C4×C113—41no—
301C2×C4×C113—42no—
302C2×C4×C113—41no—
303C2×C4×C113—41no—
304C2×C4×C113—41no—
305C2×C4×C113—41no—
306C2×C4×C113—41no—
307C2×C4×C113—82no—
308C2×C4×C113—81no—
309C2×C4×C113—81no—
310C2×C4×C113—81no—
311C2×C4×C113—82no—
312C2×C4×C113#12012yes—
313C2×C4×C113C22×D412yes—
314C8×C113—42no—
315C8×C113—42no—
316C22×C113—21no—
317C22×C113—21no—
318C22×C113—21no—
319C22×C113—21no—
320C22×C113—22no—
321C22×C113—21no—
322C22×C113—21no—
323C22×C113—21no—
324C22×C113—42no—
325C22×C113—42no—
326C22×C113—42no—
327C22×C113—42no—
328C22×C113—41no—
329C22×C113—41no—
330C22×C113—42no—
331C22×C113—41no—
332C22×C113—42no—
333C22×C113—41no—
334C22×C113—42no—
335C22×C113—41no—
336C22×C113—81no—
337C22×C113—84no—
338C22×C113—81no—
339C22×C113—81no—
340C22×C113—81no—
341C22×C113—81no—
342C22×C113—81no—
343C22×C113—84no—
344C22×C113—81no—
345C22×C113—81no—
346C22×C113—81no—
347C22×C113—162no—
348C22×C113#45312yes—
349C22×C113C2×#12011yescharacteristic
350C22×C113C2×#13511yescharacteristic
351C22×C113#57511yescharacteristic
352C4×C113—22no—
353C4×C113—22no—
354C4×C113—42no—
355C4×C113—42no—
356C4×C113—42no—
357C4×C113—41no—
358C4×C113—41no—
359C4×C113—42no—
360C4×C113—42no—
361C4×C113—81no—
362#18376C11311yesmaximal, characteristic, direct product factor, Sylow
363C2×C113—21no—
364C2×C113—21no—
365C2×C113—22no—
366C2×C113—41no—
367C2×C113—42no—
368C2×C113—81no—
369C2×C113—82no—
370C2×C113—161no—
371C2×C113#300211yescharacteristic
372C2×C113C2×#45311yescharacteristic
373C2×C113#302611yescharacteristic
374#3490C2×C11311yescharacteristic, complemented
375#3188C2×C11312yescomplemented
376#2539C2×C11311yescharacteristic, complemented
377#1618C2×C11312yescomplemented
378#1614C2×C11311yescharacteristic, complemented
379#1613C2×C11311yescharacteristic, complemented
380#1600C2×C11312yescomplemented
381#1596C2×C11311yescharacteristic, complemented
382#1595C2×C11311yescharacteristic, complemented
383#1501C2×C11312yescomplemented
384C2×#323C2×C11311yescharacteristic, complemented
385C113#1837611yescharacteristic, direct product factor, Sylow
386#551—22no—
387#551—22no—
388#546—22no—
389#546—22no—
390#543C22×C11311yescharacteristic
391#538—21no—
392#538C22×C11312yes—
393#534C22×C11311yescharacteristic
394#525—21no—
395#525C22×C11312yes—
396C2×#123—21no—
397C2×#121C22×C11311yescharacteristic, complemented
398C2×#120—21no—
399C2×#120—21no—
400#518—21no—
401C22×C22⋊C4C22×C11311yescharacteristic
402#484C22×C11312yescomplemented
403#482—22no—
404#481C22×C11312yescomplemented
405#466—22no—
406#465—22no—
407#450C22×C11312yescomplemented
408#449—22no—
409#447C22×C11312yescomplemented
410C2×C22⋊C8C22×C11312yescomplemented
411#399C22×C11311yescharacteristic
412#399C22×C11311yescharacteristic, complemented
413#392C22×C11311yescharacteristic
414#392C22×C11311yescharacteristic, complemented
415#390—21no—
416#390—21no—
417C4×C22⋊C4C22×C11311yescharacteristic, complemented
418#328C22×C11312yescomplemented
419#328C22×C11312yescomplemented
420#327C22×C11312yescomplemented
421#327C22×C11312yescomplemented
422#323C22×C11311yescharacteristic
423#323C22×C11311yescharacteristic
424#323C22×C11312yescomplemented
425C25D4×C11311yescharacteristic
426C2×#41—21no—
427C2×#41D4×C11312yescomplemented
428C22×D4—21no—
429C22×D4—21no—
430C22×D4—21no—
431C22×D4—21no—
432C22×D4—21no—
433C22×D4—21no—
434C22×D4C23×C11311yescharacteristic
435C23×C4D4×C11311yescharacteristic
436C23×C4C23×C11311yescharacteristic
437C2×SD16—22no—
438C2×D8—22no—
439C22×C8—22no—
440#126—22no—
441#126—22no—
442#124—22no—
443#124—22no—
444#123—22no—
445#123—22no—
446#123—22no—
447#123—22no—
448#123—22no—
449#123—44no—
450C22⋊Q8—21no—
451C22⋊Q8—22no—
452C22⋊Q8—21no—
453C22⋊Q8—22no—
454C22⋊Q8D4×C11312yescomplemented
455C22⋊Q8C23×C11312yes—
456#121—21no—
457#121—22no—
458#121—22no—
459#121—21no—
460#121—22no—
461#121—22no—
462#121D4×C11312yescomplemented
463#121C23×C11312yes—
464#120—22no—
465#120—22no—
466#120—22no—
467#120—22no—
468#120—22no—
469#120—44no—
470C4×D4—22no—
471C4×D4—22no—
472C4×D4—22no—
473C4×D4—22no—
474C4×D4—22no—
475C4×D4—22no—
476#117—22no—
477#117—21no—
478#117D4×C11312yescomplemented
479C2×C4⋊C4—21no—
480C2×C4⋊C4—21no—
481C2×C4⋊C4C23×C11311yescharacteristic
482C2×C22⋊C4—22no—
483C2×C22⋊C4—21no—
484C2×C22⋊C4—21no—
485C2×C22⋊C4—21no—
486C2×C22⋊C4—21no—
487C2×C22⋊C4—22no—
488C2×C22⋊C4—22no—
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—21no—
492C2×C22⋊C4—21no—
493C2×C22⋊C4—21no—
494C2×C22⋊C4D4×C11311yescharacteristic
495C2×C22⋊C4D4×C11311yescharacteristic
496C2×C22⋊C4C23×C11311yescharacteristic
497C2×C22⋊C4C23×C11311yescharacteristic
498C2×C42—21no—
499#107—22no—
500#106—22no—
501#103—22no—
502#102—22no—
503#102—22no—
504#102—22no—
505C22⋊C8—22no—
506C22⋊C8C23×C11312yes—
507C22⋊C8C23×C11312yes—
508#95C23×C11311yescharacteristic
509#95C23×C11311yescharacteristic
510C24—21no—
511C24—21no—
512C24—21no—
513C24—22no—
514C24—21no—
515C24—41no—
516C24—42no—
517C24—81no—
518C24C2×D4×C11311yescharacteristic
519C24C2×D4×C11311yescharacteristic
520C24C2×D4×C11311yescharacteristic
521#41—82no—
522#41—82no—
523C2×Q8—21no—
524C2×Q8C2×D4×C11312yes—
525C2×D4—22no—
526C2×D4—22no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—21no—
530C2×D4—22no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—42no—
534C2×D4—42no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—42no—
538C2×D4—42no—
539C2×D4—42no—
540C2×D4—41no—
541C2×D4—41no—
542C2×D4—42no—
543C2×D4—81no—
544C2×D4—81no—
545C2×D4—81no—
546C2×D4—82no—
547C2×D4—82no—
548C2×D4C2×D4×C11312yes—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—22no—
556C22×C4—21no—
557C22×C4—22no—
558C22×C4—21no—
559C22×C4—42no—
560C22×C4—81no—
561C22×C4C2×D4×C11311yescharacteristic
562C22×C4C2×D4×C11311yescharacteristic
563C22×C4C2×D4×C11311yescharacteristic
564C22×C4C2×D4×C11312yes—
565C22×C4C2×D4×C11312yes—
566C22×C4C24×C11311yescharacteristic
567SD16—82no—
568D8—82no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—82no—
572C4⋊C4—22no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4C2×D4×C11312yes—
582C4⋊C4C2×D4×C11312yes—
583C22⋊C4—22no—
584C22⋊C4—22no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—24no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—22no—
593C22⋊C4—22no—
594C22⋊C4—22no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—42no—
599C22⋊C4—42no—
600C22⋊C4—42no—
601C22⋊C4—42no—
602C22⋊C4—42no—
603C42—22no—
604C42—22no—
605C42—81no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—22no—
610C23—21no—
611C23—21no—
612C23—22no—
613C23—21no—
614C23—21no—
615C23—41no—
616C23—42no—
617C23—42no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—42no—
623C23—42no—
624C23—41no—
625C23—41no—
626C23—41no—
627C23—41no—
628C23—42no—
629C23—41no—
630C23—41no—
631C23—41no—
632C23—81no—
633C23—81no—
634C23—81no—
635C23—81no—
636C23—84no—
637C23—84no—
638C23#120×C11311yescharacteristic
639C23#120×C11311yescharacteristic
640C23#135×C11312yes—
641C23C22×D4×C11311yescharacteristic
642Q8—42no—
643Q8—81no—
644D4—42no—
645D4—42no—
646D4—42no—
647D4—44no—
648D4—44no—
649D4—42no—
650D4—42no—
651D4—44no—
652D4—82no—
653D4—82no—
654D4—81no—
655D4—84no—
656D4—84no—
657D4—82no—
658D4—82no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—41no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—42no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—42no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—82no—
682C2×C4—81no—
683C2×C4—81no—
684C2×C4—81no—
685C2×C4—82no—
686C2×C4#120×C11312yes—
687C2×C4C22×D4×C11312yes—
688C8—42no—
689C8—42no—
690C22—21no—
691C22—21no—
692C22—21no—
693C22—21no—
694C22—22no—
695C22—21no—
696C22—21no—
697C22—21no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—41no—
703C22—41no—
704C22—42no—
705C22—41no—
706C22—42no—
707C22—41no—
708C22—42no—
709C22—41no—
710C22—81no—
711C22—84no—
712C22—81no—
713C22—81no—
714C22—81no—
715C22—81no—
716C22—81no—
717C22—84no—
718C22—81no—
719C22—81no—
720C22—81no—
721C22—162no—
722C22#453×C11312yes—
723C22C2×#120×C11311yescharacteristic
724C22C2×#135×C11311yescharacteristic
725C22#575×C11311yescharacteristic
726C4—22no—
727C4—22no—
728C4—42no—
729C4—42no—
730C4—42no—
731C4—41no—
732C4—41no—
733C4—42no—
734C4—42no—
735C4—81no—
736C2—21no—
737C2—21no—
738C2—22no—
739C2—41no—
740C2—42no—
741C2—81no—
742C2—82no—
743C2—161no—
744C2C113×#300211yescharacteristic
745C2C2×#453×C11311yescharacteristic
746C2C113×#302611yescharacteristic
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×#3490C2semidirect
2. C113×#3188C2semidirect
3. C113×#2539C2semidirect
4. C113×#1618C2semidirect
5. C113×#1614C2semidirect
6. C113×#1613C2semidirect
7. C113×#1600C2semidirect
8. C113×#1596C2semidirect
9. C113×#1595C2semidirect
10. C113×#1501C2semidirect
11. C2×#323×C113C2semidirect
23. C2×#121×C113C22semidirect
28. #484×C113C22semidirect
30. #481×C113C22semidirect
33. #450×C113C22semidirect
35. #447×C113C22semidirect
36. C2×C22⋊C8×C113C22semidirect
38. #399×C113C22semidirect
40. #392×C113C22semidirect
43. C4×C22⋊C4×C113C22semidirect
44. #328×C113C22semidirect
45. #328×C113C22semidirect
46. #327×C113C22semidirect
47. #327×C113C22semidirect
50. #323×C113C22semidirect
53. C2×#41×C113D4semidirect
80. C22⋊Q8×C113D4semidirect
88. #121×C113D4semidirect
104. #117×C113D4semidirect
362. #18376C113direct (N × H)
374. #3490C2×C113semidirect
375. #3188C2×C113semidirect
376. #2539C2×C113semidirect
377. #1618C2×C113semidirect
378. #1614C2×C113semidirect
379. #1613C2×C113semidirect
380. #1600C2×C113semidirect
381. #1596C2×C113semidirect
382. #1595C2×C113semidirect
383. #1501C2×C113semidirect
384. C2×#323C2×C113semidirect
385. C113#18376direct (N × H)
397. C2×#121C22×C113semidirect
402. #484C22×C113semidirect
404. #481C22×C113semidirect
407. #450C22×C113semidirect
409. #447C22×C113semidirect
410. C2×C22⋊C8C22×C113semidirect
412. #399C22×C113semidirect
414. #392C22×C113semidirect
417. C4×C22⋊C4C22×C113semidirect
418. #328C22×C113semidirect
419. #328C22×C113semidirect
420. #327C22×C113semidirect
421. #327C22×C113semidirect
424. #323C22×C113semidirect
427. C2×#41D4×C113semidirect
454. C22⋊Q8D4×C113semidirect
462. #121D4×C113semidirect
478. #117D4×C113semidirect

Maximal subgroups

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

subgroupindex
C113×#34902
C113×#31882
C113×#25392
C113×#16182
C113×#16142
C113×#16132
C113×#16002
C113×#15962
C113×#15952
C113×#15012
C2×#323×C1132
#18376113