Finite Group Databasebeta

← C113×#24260 #43292280

Subgroups — C113×#24260 #43292280

Order 28928.

1918 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C113×#3496C211yesmaximal, characteristic, complemented
2C2×B(4,𝔽2)×C113C212yesmaximal, complemented
3C113×#2847C212yesmaximal, complemented
4C4×#120×C113C211yesmaximal, characteristic, complemented
5C113×#2044C212yesmaximal, complemented
6C113×#2021C212yesmaximal, complemented
7C113×#1964C212yesmaximal, complemented
8C113×#1799C211yesmaximal, characteristic, complemented
9C113×#1790C212yesmaximal, complemented
10C2×H(5,𝔽2)×C113C2212yes—
11C24×C4×C113C2211yescharacteristic, complemented
12#547×C113—22no—
13#546×C113—24no—
14D42×C113—22no—
15#537×C113—21no—
16#534×C113—21no—
17#534×C113C2212yes—
18#532×C113—21no—
19C2×#121×C113—21no—
20C2×#121×C113—22no—
21C2×#121×C113C2212yes—
22C2×#120×C113C2211yescharacteristic
23C2×#120×C113C2214yescomplemented
24C2×C4×D4×C113—21no—
25C2×C4×D4×C113C2211yescharacteristic
26B(4,𝔽2)×C113—28no—
27C2×#99×C113C2212yes—
28C2×#99×C113C2214yescomplemented
29C2×#99×C113C2214yescomplemented
30#386×C113—21no—
31#386×C113—24no—
32#386×C113C2211yescharacteristic
33#386×C113C2214yescomplemented
34#385×C113—21no—
35#385×C113C2211yescharacteristic, complemented
36#380×C113—22no—
37#380×C113C2212yescomplemented
38#379×C113C2211yescharacteristic, complemented
39C4×C22⋊C4×C113—21no—
40C4×C22⋊C4×C113C2211yescharacteristic, complemented
41#342×C113C2212yescomplemented
42C25×C113C2311yescharacteristic
43H(5,𝔽2)×C113—24no—
44H(5,𝔽2)×C113—24no—
45H(5,𝔽2)×C113—44no—
46C2×#41×C113—22no—
47C2×#41×C113—24no—
48C22×D4×C113—21no—
49C22×D4×C113—22no—
50C22×D4×C113—24no—
51C22×D4×C113—21no—
52C22×D4×C113—24no—
53C22×D4×C113D412yescomplemented
54C22×D4×C113C2314yes—
55C22×D4×C113C2311yescharacteristic
56C23×C4×C113—21no—
57C23×C4×C113—22no—
58C23×C4×C113—21no—
59C23×C4×C113—22no—
60C23×C4×C113—44no—
61C23×C4×C113D411yescharacteristic, complemented
62C23×C4×C113C2311yescharacteristic
63C23×C4×C113C2311yescharacteristic
64C4⋊Q8×C113—21no—
65#127×C113—21no—
66#124×C113—22no—
67#123×C113—24no—
68#123×C113—24no—
69C22⋊Q8×C113—24no—
70#121×C113—22no—
71#121×C113—22no—
72#121×C113—24no—
73#121×C113—22no—
74#121×C113—22no—
75#121×C113—22no—
76#121×C113—22no—
77#121×C113—22no—
78#121×C113—22no—
79#121×C113—48no—
80#120×C113—24no—
81#120×C113—24no—
82#120×C113—22no—
83#120×C113—28no—
84#120×C113—44no—
85#120×C113D414yescomplemented
86C4×D4×C113—22no—
87C4×D4×C113—22no—
88C4×D4×C113—22no—
89C4×D4×C113—22no—
90C4×D4×C113—44no—
91C2×C4⋊C4×C113—21no—
92C2×C4⋊C4×C113—21no—
93C2×C4⋊C4×C113—22no—
94C2×C4⋊C4×C113D411yescharacteristic, complemented
95C2×C4⋊C4×C113D412yescomplemented
96C2×C22⋊C4×C113—22no—
97C2×C22⋊C4×C113—21no—
98C2×C22⋊C4×C113—21no—
99C2×C22⋊C4×C113—24no—
100C2×C22⋊C4×C113—21no—
101C2×C22⋊C4×C113—24no—
102C2×C22⋊C4×C113—21no—
103C2×C22⋊C4×C113D411yescharacteristic, complemented
104C2×C22⋊C4×C113D414yescomplemented
105C2×C22⋊C4×C113C2314yes—
106C2×C22⋊C4×C113C2311yescharacteristic
107C2×C22⋊C4×C113C2311yescharacteristic
108C2×C22⋊C4×C113C2311yescharacteristic
109C2×C42×C113—21no—
110C2×C42×C113D411yescharacteristic, complemented
111#99×C113—24no—
112#99×C113—28no—
113#99×C113—44no—
114#95×C113—21no—
115#95×C113—21no—
116#95×C113—21no—
117#95×C113—24no—
118#95×C113—22no—
119C24×C113—21no—
120C24×C113—22no—
121C24×C113—22no—
122C24×C113—21no—
123C24×C113—22no—
124C24×C113—42no—
125C24×C113—42no—
126C24×C113C2×D414yes—
127C24×C113C2×D411yescharacteristic
128C24×C113C2×D412yescomplemented
129C24×C113C2411yescharacteristic
130#41×C113—48no—
131#41×C113—48no—
132#41×C113—44no—
133#41×C113—44no—
134C2×Q8×C113—22no—
135C2×D4×C113—22no—
136C2×D4×C113—22no—
137C2×D4×C113—24no—
138C2×D4×C113—22no—
139C2×D4×C113—24no—
140C2×D4×C113—24no—
141C2×D4×C113—24no—
142C2×D4×C113—24no—
143C2×D4×C113—24no—
144C2×D4×C113—24no—
145C2×D4×C113—24no—
146C2×D4×C113—22no—
147C2×D4×C113—22no—
148C2×D4×C113—22no—
149C2×D4×C113—22no—
150C2×D4×C113—44no—
151C2×D4×C113—48no—
152C2×D4×C113—48no—
153C2×D4×C113—42no—
154C2×D4×C113—42no—
155C2×D4×C113—44no—
156C2×D4×C113—44no—
157C2×D4×C113—48no—
158C2×D4×C113—48no—
159C2×D4×C113—48no—
160C2×D4×C113—82no—
161C2×D4×C113C2×D412yes—
162C2×D4×C113#4112yes—
163C22×C4×C113—22no—
164C22×C4×C113—24no—
165C22×C4×C113—24no—
166C22×C4×C113—28no—
167C22×C4×C113—21no—
168C22×C4×C113—22no—
169C22×C4×C113—21no—
170C22×C4×C113—21no—
171C22×C4×C113—21no—
172C22×C4×C113—21no—
173C22×C4×C113—24no—
174C22×C4×C113—42no—
175C22×C4×C113—42no—
176C22×C4×C113—42no—
177C22×C4×C113—44no—
178C22×C4×C113—44no—
179C22×C4×C113—42no—
180C22×C4×C113—42no—
181C22×C4×C113—42no—
182C22×C4×C113—44no—
183C22×C4×C113—41no—
184C22×C4×C113—42no—
185C22×C4×C113—41no—
186C22×C4×C113C2×D414yes—
187C22×C4×C113C2×D411yescharacteristic
188C22×C4×C113C2×D412yes—
189C22×C4×C113C2×D411yescharacteristic
190C22×C4×C113C2×D411yescharacteristic
191C22×C4×C113C2×D411yescharacteristic
192C22×C4×C113C2×D412yes—
193C22×C4×C113C2×D411yescharacteristic
194C4⋊C4×C113—22no—
195C4⋊C4×C113—22no—
196C4⋊C4×C113—22no—
197C4⋊C4×C113—22no—
198C4⋊C4×C113—22no—
199C4⋊C4×C113—42no—
200C4⋊C4×C113—44no—
201C22⋊C4×C113—24no—
202C22⋊C4×C113—24no—
203C22⋊C4×C113—22no—
204C22⋊C4×C113—21no—
205C22⋊C4×C113—24no—
206C22⋊C4×C113—22no—
207C22⋊C4×C113—24no—
208C22⋊C4×C113—24no—
209C22⋊C4×C113—24no—
210C22⋊C4×C113—22no—
211C22⋊C4×C113—24no—
212C22⋊C4×C113—48no—
213C22⋊C4×C113—42no—
214C22⋊C4×C113—48no—
215C22⋊C4×C113—42no—
216C22⋊C4×C113—42no—
217C22⋊C4×C113C2×D412yescomplemented
218C42×C113—21no—
219C42×C113—21no—
220C42×C113—42no—
221C23×C113—22no—
222C23×C113—22no—
223C23×C113—24no—
224C23×C113—24no—
225C23×C113—21no—
226C23×C113—22no—
227C23×C113—24no—
228C23×C113—21no—
229C23×C113—24no—
230C23×C113—24no—
231C23×C113—24no—
232C23×C113—41no—
233C23×C113—44no—
234C23×C113—41no—
235C23×C113—41no—
236C23×C113—42no—
237C23×C113—41no—
238C23×C113—42no—
239C23×C113—44no—
240C23×C113—48no—
241C23×C113—41no—
242C23×C113—41no—
243C23×C113—44no—
244C23×C113—44no—
245C23×C113—44no—
246C23×C113—41no—
247C23×C113—41no—
248C23×C113—42no—
249C23×C113—82no—
250C23×C113—82no—
251C23×C113#12112yescomplemented
252C23×C113C22×D411yescharacteristic
253C23×C113C22×D412yes—
254C23×C113C22×D411yescharacteristic
255C23×C113C2×#4111yescharacteristic
256C23×C113H(5,𝔽2)12yes—
257Q8×C113—44no—
258D4×C113—24no—
259D4×C113—24no—
260D4×C113—44no—
261D4×C113—48no—
262D4×C113—48no—
263D4×C113—44no—
264D4×C113—44no—
265D4×C113—44no—
266D4×C113—44no—
267D4×C113—44no—
268D4×C113—82no—
269D4×C113—82no—
270D4×C113—82no—
271D4×C113—816no—
272C2×C4×C113—21no—
273C2×C4×C113—21no—
274C2×C4×C113—22no—
275C2×C4×C113—24no—
276C2×C4×C113—24no—
277C2×C4×C113—22no—
278C2×C4×C113—21no—
279C2×C4×C113—21no—
280C2×C4×C113—24no—
281C2×C4×C113—22no—
282C2×C4×C113—24no—
283C2×C4×C113—24no—
284C2×C4×C113—42no—
285C2×C4×C113—41no—
286C2×C4×C113—44no—
287C2×C4×C113—48no—
288C2×C4×C113—48no—
289C2×C4×C113—41no—
290C2×C4×C113—41no—
291C2×C4×C113—42no—
292C2×C4×C113—41no—
293C2×C4×C113—44no—
294C2×C4×C113—41no—
295C2×C4×C113—44no—
296C2×C4×C113—42no—
297C2×C4×C113—41no—
298C2×C4×C113—41no—
299C2×C4×C113—41no—
300C2×C4×C113—44no—
301C2×C4×C113—41no—
302C2×C4×C113—44no—
303C2×C4×C113—41no—
304C2×C4×C113—44no—
305C2×C4×C113—81no—
306C2×C4×C113#12011yescharacteristic
307C2×C4×C113#12012yes—
308C2×C4×C113#12011yescharacteristic
309C2×C4×C113#12112yescomplemented
310C22×C113—21no—
311C22×C113—22no—
312C22×C113—21no—
313C22×C113—22no—
314C22×C113—24no—
315C22×C113—28no—
316C22×C113—22no—
317C22×C113—41no—
318C22×C113—41no—
319C22×C113—42no—
320C22×C113—42no—
321C22×C113—42no—
322C22×C113—44no—
323C22×C113—42no—
324C22×C113—42no—
325C22×C113—44no—
326C22×C113—44no—
327C22×C113—42no—
328C22×C113—42no—
329C22×C113—41no—
330C22×C113—42no—
331C22×C113—41no—
332C22×C113—44no—
333C22×C113—44no—
334C22×C113—44no—
335C22×C113—81no—
336C22×C113—84no—
337C22×C113—84no—
338C22×C113—164no—
339C22×C113C2×#12011yescharacteristic
340C22×C113C2×#12111yescharacteristic
341C22×C113#53511yescharacteristic
342C22×C113D4212yes—
343C22×C113#54612yes—
344C4×C113—22no—
345C4×C113—21no—
346C4×C113—22no—
347C4×C113—42no—
348C4×C113—44no—
349C4×C113—42no—
350C4×C113—41no—
351C4×C113—41no—
352C4×C113—81no—
353C4×C113—84no—
354C4×C113B(4,𝔽2)12yescomplemented
355#24260C11311yesmaximal, characteristic, direct product factor, Sylow
356C2×C113—21no—
357C2×C113—22no—
358C2×C113—21no—
359C2×C113—22no—
360C2×C113—44no—
361C2×C113—42no—
362C2×C113—84no—
363C2×C113#240811yescharacteristic
364C2×C113C2×B(4,𝔽2)11yescharacteristic
365C2×C113#302511yescharacteristic
366#3496C2×C11311yescharacteristic, complemented
367C2×B(4,𝔽2)C2×C11312yescomplemented
368#2847C2×C11312yescomplemented
369C4×#120C2×C11311yescharacteristic, complemented
370#2044C2×C11312yescomplemented
371#2021C2×C11312yescomplemented
372#1964C2×C11312yescomplemented
373#1799C2×C11311yescharacteristic, complemented
374#1790C2×C11312yescomplemented
375C113#2426011yescharacteristic, direct product factor, Sylow
376C2×H(5,𝔽2)C22×C11312yes—
377C24×C4C22×C11311yescharacteristic, complemented
378#547—22no—
379#546—24no—
380D42—22no—
381#537—21no—
382#534—21no—
383#534C22×C11312yes—
384#532—21no—
385C2×#121—21no—
386C2×#121—22no—
387C2×#121C22×C11312yes—
388C2×#120C22×C11311yescharacteristic
389C2×#120C22×C11314yescomplemented
390C2×C4×D4—21no—
391C2×C4×D4C22×C11311yescharacteristic
392B(4,𝔽2)—28no—
393C2×#99C22×C11312yes—
394C2×#99C22×C11314yescomplemented
395C2×#99C22×C11314yescomplemented
396#386—24no—
397#386—21no—
398#386C22×C11311yescharacteristic
399#386C22×C11314yescomplemented
400#385—21no—
401#385C22×C11311yescharacteristic, complemented
402#380—22no—
403#380C22×C11312yescomplemented
404#379C22×C11311yescharacteristic, complemented
405C4×C22⋊C4—21no—
406C4×C22⋊C4C22×C11311yescharacteristic, complemented
407#342C22×C11312yescomplemented
408C25C23×C11311yescharacteristic
409H(5,𝔽2)—24no—
410H(5,𝔽2)—24no—
411H(5,𝔽2)—44no—
412C2×#41—22no—
413C2×#41—24no—
414C22×D4—21no—
415C22×D4—22no—
416C22×D4—24no—
417C22×D4—21no—
418C22×D4—24no—
419C22×D4D4×C11312yescomplemented
420C22×D4C23×C11314yes—
421C22×D4C23×C11311yescharacteristic
422C23×C4—21no—
423C23×C4—22no—
424C23×C4—21no—
425C23×C4—22no—
426C23×C4—44no—
427C23×C4D4×C11311yescharacteristic, complemented
428C23×C4C23×C11311yescharacteristic
429C23×C4C23×C11311yescharacteristic
430C4⋊Q8—21no—
431#127—21no—
432#124—22no—
433#123—24no—
434#123—24no—
435C22⋊Q8—24no—
436#121—22no—
437#121—22no—
438#121—24no—
439#121—22no—
440#121—22no—
441#121—22no—
442#121—22no—
443#121—22no—
444#121—22no—
445#121—48no—
446#120—24no—
447#120—24no—
448#120—22no—
449#120—28no—
450#120—44no—
451#120D4×C11314yescomplemented
452C4×D4—22no—
453C4×D4—22no—
454C4×D4—22no—
455C4×D4—22no—
456C4×D4—44no—
457C2×C4⋊C4—21no—
458C2×C4⋊C4—21no—
459C2×C4⋊C4—22no—
460C2×C4⋊C4D4×C11311yescharacteristic, complemented
461C2×C4⋊C4D4×C11312yescomplemented
462C2×C22⋊C4—22no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—24no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—24no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4D4×C11311yescharacteristic, complemented
470C2×C22⋊C4D4×C11314yescomplemented
471C2×C22⋊C4C23×C11314yes—
472C2×C22⋊C4C23×C11311yescharacteristic
473C2×C22⋊C4C23×C11311yescharacteristic
474C2×C22⋊C4C23×C11311yescharacteristic
475C2×C42—21no—
476C2×C42D4×C11311yescharacteristic, complemented
477#99—24no—
478#99—28no—
479#99—44no—
480#95—21no—
481#95—21no—
482#95—21no—
483#95—24no—
484#95—22no—
485C24—21no—
486C24—22no—
487C24—22no—
488C24—21no—
489C24—22no—
490C24—42no—
491C24—42no—
492C24C2×D4×C11314yes—
493C24C2×D4×C11311yescharacteristic
494C24C2×D4×C11312yescomplemented
495C24C24×C11311yescharacteristic
496#41—48no—
497#41—48no—
498#41—44no—
499#41—44no—
500C2×Q8—22no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—24no—
504C2×D4—22no—
505C2×D4—24no—
506C2×D4—24no—
507C2×D4—24no—
508C2×D4—24no—
509C2×D4—24no—
510C2×D4—24no—
511C2×D4—24no—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—22no—
515C2×D4—22no—
516C2×D4—44no—
517C2×D4—48no—
518C2×D4—48no—
519C2×D4—42no—
520C2×D4—44no—
521C2×D4—42no—
522C2×D4—44no—
523C2×D4—48no—
524C2×D4—48no—
525C2×D4—48no—
526C2×D4—82no—
527C2×D4C2×D4×C11312yes—
528C2×D4#41×C11312yes—
529C22×C4—22no—
530C22×C4—24no—
531C22×C4—24no—
532C22×C4—28no—
533C22×C4—21no—
534C22×C4—22no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—24no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—42no—
543C22×C4—44no—
544C22×C4—44no—
545C22×C4—42no—
546C22×C4—42no—
547C22×C4—42no—
548C22×C4—44no—
549C22×C4—41no—
550C22×C4—42no—
551C22×C4—41no—
552C22×C4C2×D4×C11314yes—
553C22×C4C2×D4×C11311yescharacteristic
554C22×C4C2×D4×C11312yes—
555C22×C4C2×D4×C11311yescharacteristic
556C22×C4C2×D4×C11311yescharacteristic
557C22×C4C2×D4×C11311yescharacteristic
558C22×C4C2×D4×C11312yes—
559C22×C4C2×D4×C11311yescharacteristic
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—42no—
566C4⋊C4—44no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—22no—
570C22⋊C4—21no—
571C22⋊C4—24no—
572C22⋊C4—22no—
573C22⋊C4—24no—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—22no—
577C22⋊C4—24no—
578C22⋊C4—48no—
579C22⋊C4—42no—
580C22⋊C4—48no—
581C22⋊C4—42no—
582C22⋊C4—42no—
583C22⋊C4C2×D4×C11312yescomplemented
584C42—21no—
585C42—21no—
586C42—42no—
587C23—22no—
588C23—22no—
589C23—24no—
590C23—24no—
591C23—21no—
592C23—22no—
593C23—24no—
594C23—21no—
595C23—24no—
596C23—24no—
597C23—24no—
598C23—41no—
599C23—44no—
600C23—41no—
601C23—41no—
602C23—42no—
603C23—41no—
604C23—42no—
605C23—44no—
606C23—48no—
607C23—41no—
608C23—41no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—41no—
613C23—41no—
614C23—42no—
615C23—82no—
616C23—82no—
617C23#121×C11312yescomplemented
618C23C22×D4×C11311yescharacteristic
619C23C22×D4×C11312yes—
620C23C22×D4×C11311yescharacteristic
621C23C2×#41×C11311yescharacteristic
622C23H(5,𝔽2)×C11312yes—
623Q8—44no—
624D4—24no—
625D4—24no—
626D4—44no—
627D4—48no—
628D4—48no—
629D4—44no—
630D4—44no—
631D4—44no—
632D4—44no—
633D4—44no—
634D4—82no—
635D4—82no—
636D4—82no—
637D4—816no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—42no—
651C2×C4—41no—
652C2×C4—44no—
653C2×C4—48no—
654C2×C4—48no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—44no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—44no—
662C2×C4—42no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—44no—
667C2×C4—41no—
668C2×C4—44no—
669C2×C4—41no—
670C2×C4—44no—
671C2×C4—81no—
672C2×C4#120×C11311yescharacteristic
673C2×C4#120×C11312yes—
674C2×C4#120×C11311yescharacteristic
675C2×C4#121×C11312yescomplemented
676C22—21no—
677C22—22no—
678C22—21no—
679C22—22no—
680C22—24no—
681C22—28no—
682C22—22no—
683C22—41no—
684C22—41no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—44no—
689C22—42no—
690C22—42no—
691C22—44no—
692C22—44no—
693C22—42no—
694C22—42no—
695C22—41no—
696C22—42no—
697C22—41no—
698C22—44no—
699C22—44no—
700C22—44no—
701C22—81no—
702C22—84no—
703C22—84no—
704C22—164no—
705C22C2×#120×C11311yescharacteristic
706C22C2×#121×C11311yescharacteristic
707C22#535×C11311yescharacteristic
708C22D42×C11312yes—
709C22#546×C11312yes—
710C4—22no—
711C4—21no—
712C4—22no—
713C4—42no—
714C4—44no—
715C4—42no—
716C4—41no—
717C4—41no—
718C4—84no—
719C4—81no—
720C4B(4,𝔽2)×C11312yescomplemented
721C2—21no—
722C2—22no—
723C2—21no—
724C2—22no—
725C2—44no—
726C2—42no—
727C2—84no—
728C2C113×#240811yescharacteristic
729C2C2×B(4,𝔽2)×C11311yescharacteristic
730C2C113×#302511yescharacteristic
subgroupG/H
center, socleC22×C113C2×#120
commutator, Frattini, cosocleC24C24×C113
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C22×C113 ◁ C23×C4×C113 ◁ G

Complements

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

NH ≅ G/Ntype
1. C113×#3496C2semidirect
2. C2×B(4,𝔽2)×C113C2semidirect
3. C113×#2847C2semidirect
4. C4×#120×C113C2semidirect
5. C113×#2044C2semidirect
6. C113×#2021C2semidirect
7. C113×#1964C2semidirect
8. C113×#1799C2semidirect
9. C113×#1790C2semidirect
11. C24×C4×C113C22semidirect
23. C2×#120×C113C22semidirect
28. C2×#99×C113C22semidirect
29. C2×#99×C113C22semidirect
33. #386×C113C22semidirect
35. #385×C113C22semidirect
37. #380×C113C22semidirect
38. #379×C113C22semidirect
40. C4×C22⋊C4×C113C22semidirect
41. #342×C113C22semidirect
53. C22×D4×C113D4semidirect
61. C23×C4×C113D4semidirect
85. #120×C113D4semidirect
94. C2×C4⋊C4×C113D4semidirect
95. C2×C4⋊C4×C113D4semidirect
103. C2×C22⋊C4×C113D4semidirect
104. C2×C22⋊C4×C113D4semidirect
110. C2×C42×C113D4semidirect
128. C24×C113C2×D4semidirect
217. C22⋊C4×C113C2×D4semidirect
251. C23×C113#121semidirect
309. C2×C4×C113#121semidirect
354. C4×C113B(4,𝔽2)semidirect
355. #24260C113direct (N × H)
366. #3496C2×C113semidirect
367. C2×B(4,𝔽2)C2×C113semidirect
368. #2847C2×C113semidirect
369. C4×#120C2×C113semidirect
370. #2044C2×C113semidirect
371. #2021C2×C113semidirect
372. #1964C2×C113semidirect
373. #1799C2×C113semidirect
374. #1790C2×C113semidirect
375. C113#24260direct (N × H)
377. C24×C4C22×C113semidirect
389. C2×#120C22×C113semidirect
394. C2×#99C22×C113semidirect
395. C2×#99C22×C113semidirect
399. #386C22×C113semidirect
401. #385C22×C113semidirect
403. #380C22×C113semidirect
404. #379C22×C113semidirect
406. C4×C22⋊C4C22×C113semidirect
407. #342C22×C113semidirect
419. C22×D4D4×C113semidirect
427. C23×C4D4×C113semidirect
451. #120D4×C113semidirect
460. C2×C4⋊C4D4×C113semidirect
461. C2×C4⋊C4D4×C113semidirect
469. C2×C22⋊C4D4×C113semidirect
470. C2×C22⋊C4D4×C113semidirect
476. C2×C42D4×C113semidirect
494. C24C2×D4×C113semidirect
583. C22⋊C4C2×D4×C113semidirect
617. C23#121×C113semidirect
675. C2×C4#121×C113semidirect
720. C4B(4,𝔽2)×C113semidirect

Maximal subgroups

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

subgroupindex
C113×#34962
C2×B(4,𝔽2)×C1132
C113×#28472
C4×#120×C1132
C113×#20442
C113×#20212
C113×#19642
C113×#17992
C113×#17902
#24260113