Finite Group Databasebeta

← C113×#23900 #43291920

Subgroups — C113×#23900 #43291920

Order 28928.

3520 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C113×#3484C211yesmaximal, characteristic, complemented
2C22×#120×C113C211yesmaximal, characteristic, complemented
3C2×B(4,𝔽2)×C113C212yesmaximal, complemented
4C113×#2846C212yesmaximal, complemented
5C113×#2021C214yesmaximal, complemented
6C113×#1898C212yesmaximal, complemented
7C113×#1889C212yesmaximal, complemented
8C113×#1781C211yesmaximal, characteristic, complemented
9C26×C113C2211yescharacteristic, complemented
10C2×H(5,𝔽2)×C113C2211yescharacteristic, complemented
11C23×D4×C113—21no—
12C23×D4×C113C2211yescharacteristic
13#546×C113—24no—
14D42×C113—24no—
15#535×C113—21no—
16#534×C113—21no—
17#534×C113C2212yescomplemented
18#525×C113—21no—
19C2×#120×C113—21no—
20C2×#120×C113—21no—
21C2×#120×C113—21no—
22C2×#120×C113—28no—
23C2×#120×C113—24no—
24C2×#120×C113C2212yes—
25C2×#120×C113C2212yes—
26C2×#120×C113C2212yescomplemented
27C2×#120×C113C2214yescomplemented
28#518×C113C2211yescharacteristic, complemented
29C22×C22⋊C4×C113—21no—
30C22×C22⋊C4×C113C2211yescharacteristic, complemented
31B(4,𝔽2)×C113—28no—
32C2×#99×C113C2214yescomplemented
33C2×#99×C113C2212yescomplemented
34C2×#99×C113C2212yescomplemented
35#379×C113—24no—
36#379×C113C2214yescomplemented
37#379×C113C2212yescomplemented
38#342×C113C2214yescomplemented
39C25×C113—21no—
40C25×C113—21no—
41C25×C113—24no—
42C25×C113—24no—
43C25×C113—48no—
44C25×C113—42no—
45C25×C113D411yescharacteristic, complemented
46C25×C113C2312yes—
47C25×C113C2311yescharacteristic
48H(5,𝔽2)×C113—24no—
49H(5,𝔽2)×C113—42no—
50C2×#41×C113—21no—
51C2×#41×C113—22no—
52C22×D4×C113—28no—
53C22×D4×C113—22no—
54C22×D4×C113—22no—
55C22×D4×C113—21no—
56C22×D4×C113—24no—
57C22×D4×C113—22no—
58C22×D4×C113—22no—
59C22×D4×C113—24no—
60C22×D4×C113—24no—
61C22×D4×C113—42no—
62C22×D4×C113—48no—
63C22×D4×C113D411yescharacteristic, complemented
64C22×D4×C113D411yescharacteristic, complemented
65C22×D4×C113D414yescomplemented
66C22×D4×C113C2311yescharacteristic
67C22×D4×C113C2311yescharacteristic
68C22×D4×C113C2312yes—
69C23×C4×C113—21no—
70C23×C4×C113D411yescharacteristic, complemented
71#127×C113—22no—
72#124×C113—22no—
73#123×C113—22no—
74#123×C113—22no—
75#123×C113—22no—
76C22⋊Q8×C113—22no—
77#121×C113—22no—
78#121×C113—24no—
79#121×C113—24no—
80#121×C113—24no—
81#120×C113—28no—
82#120×C113—28no—
83#120×C113—24no—
84#120×C113—22no—
85#120×C113—22no—
86#120×C113—22no—
87#120×C113—22no—
88#120×C113—24no—
89#120×C113—24no—
90#120×C113—22no—
91#120×C113—24no—
92#120×C113—24no—
93#120×C113—28no—
94#120×C113—44no—
95#120×C113—416no—
96#120×C113D418yescomplemented
97C4×D4×C113—24no—
98C4×D4×C113—24no—
99#117×C113—21no—
100C2×C22⋊C4×C113—28no—
101C2×C22⋊C4×C113—22no—
102C2×C22⋊C4×C113—21no—
103C2×C22⋊C4×C113—21no—
104C2×C22⋊C4×C113—22no—
105C2×C22⋊C4×C113—22no—
106C2×C22⋊C4×C113—24no—
107C2×C22⋊C4×C113—24no—
108C2×C22⋊C4×C113—28no—
109C2×C22⋊C4×C113—24no—
110C2×C22⋊C4×C113D414yescomplemented
111C2×C22⋊C4×C113C2314yes—
112C2×C22⋊C4×C113C2312yes—
113C2×C22⋊C4×C113C2312yes—
114#99×C113—24no—
115#99×C113—28no—
116#99×C113—42no—
117C24×C113—24no—
118C24×C113—28no—
119C24×C113—24no—
120C24×C113—22no—
121C24×C113—22no—
122C24×C113—22no—
123C24×C113—24no—
124C24×C113—216no—
125C24×C113—21no—
126C24×C113—22no—
127C24×C113—22no—
128C24×C113—24no—
129C24×C113—22no—
130C24×C113—48no—
131C24×C113—44no—
132C24×C113—41no—
133C24×C113—416no—
134C24×C113—42no—
135C24×C113—44no—
136C24×C113—416no—
137C24×C113—48no—
138C24×C113—432no—
139C24×C113—42no—
140C24×C113—48no—
141C24×C113—44no—
142C24×C113—432no—
143C24×C113—42no—
144C24×C113—42no—
145C24×C113C2×D411yescharacteristic
146C24×C113C2×D414yes—
147C24×C113C2×D411yescharacteristic
148C24×C113C2×D411yescharacteristic
149C24×C113C2×D411yescharacteristic
150C24×C113C2×D414yescomplemented
151C24×C113C2×D412yescomplemented
152C24×C113C2411yescharacteristic
153#41×C113—48no—
154#41×C113—42no—
155#41×C113—42no—
156C2×Q8×C113—21no—
157C2×D4×C113—22no—
158C2×D4×C113—22no—
159C2×D4×C113—28no—
160C2×D4×C113—22no—
161C2×D4×C113—21no—
162C2×D4×C113—24no—
163C2×D4×C113—22no—
164C2×D4×C113—22no—
165C2×D4×C113—22no—
166C2×D4×C113—28no—
167C2×D4×C113—24no—
168C2×D4×C113—22no—
169C2×D4×C113—22no—
170C2×D4×C113—22no—
171C2×D4×C113—22no—
172C2×D4×C113—22no—
173C2×D4×C113—24no—
174C2×D4×C113—24no—
175C2×D4×C113—24no—
176C2×D4×C113—22no—
177C2×D4×C113—41no—
178C2×D4×C113—41no—
179C2×D4×C113—416no—
180C2×D4×C113—48no—
181C2×D4×C113—48no—
182C2×D4×C113—48no—
183C2×D4×C113—432no—
184C2×D4×C113—42no—
185C2×D4×C113—42no—
186C2×D4×C113—48no—
187C2×D4×C113—48no—
188C2×D4×C113—416no—
189C2×D4×C113—84no—
190C2×D4×C113C2×D414yes—
191C22×C4×C113—24no—
192C22×C4×C113—21no—
193C22×C4×C113—22no—
194C22×C4×C113—22no—
195C22×C4×C113—22no—
196C22×C4×C113—22no—
197C22×C4×C113—22no—
198C22×C4×C113—24no—
199C22×C4×C113—41no—
200C22×C4×C113—44no—
201C22×C4×C113C2×D411yescharacteristic
202C22×C4×C113C2×D411yescharacteristic
203C22×C4×C113C2×D412yescomplemented
204C22×C4×C113C2×D414yescomplemented
205C4⋊C4×C113—22no—
206C4⋊C4×C113—24no—
207C22⋊C4×C113—28no—
208C22⋊C4×C113—24no—
209C22⋊C4×C113—22no—
210C22⋊C4×C113—24no—
211C22⋊C4×C113—24no—
212C22⋊C4×C113—24no—
213C22⋊C4×C113—24no—
214C22⋊C4×C113—22no—
215C22⋊C4×C113—22no—
216C22⋊C4×C113—22no—
217C22⋊C4×C113—28no—
218C22⋊C4×C113—24no—
219C22⋊C4×C113—24no—
220C22⋊C4×C113—48no—
221C22⋊C4×C113—416no—
222C22⋊C4×C113—48no—
223C22⋊C4×C113C2×D414yescomplemented
224C42×C113—22no—
225C23×C113—21no—
226C23×C113—21no—
227C23×C113—24no—
228C23×C113—216no—
229C23×C113—216no—
230C23×C113—28no—
231C23×C113—21no—
232C23×C113—24no—
233C23×C113—21no—
234C23×C113—21no—
235C23×C113—28no—
236C23×C113—28no—
237C23×C113—28no—
238C23×C113—21no—
239C23×C113—21no—
240C23×C113—21no—
241C23×C113—22no—
242C23×C113—21no—
243C23×C113—24no—
244C23×C113—44no—
245C23×C113—42no—
246C23×C113—48no—
247C23×C113—42no—
248C23×C113—44no—
249C23×C113—48no—
250C23×C113—48no—
251C23×C113—48no—
252C23×C113—416no—
253C23×C113—48no—
254C23×C113—48no—
255C23×C113—44no—
256C23×C113—48no—
257C23×C113—48no—
258C23×C113—416no—
259C23×C113—416no—
260C23×C113—464no—
261C23×C113—48no—
262C23×C113—416no—
263C23×C113—42no—
264C23×C113—42no—
265C23×C113—48no—
266C23×C113—42no—
267C23×C113—44no—
268C23×C113—464no—
269C23×C113—416no—
270C23×C113—42no—
271C23×C113—42no—
272C23×C113—44no—
273C23×C113—48no—
274C23×C113—44no—
275C23×C113—82no—
276C23×C113—84no—
277C23×C113—82no—
278C23×C113#12012yes—
279C23×C113#12012yes—
280C23×C113#12012yescomplemented
281C23×C113C22×D411yescharacteristic
282C23×C113C22×D412yes—
283C23×C113C22×D412yes—
284C23×C113H(5,𝔽2)12yes—
285Q8×C113—42no—
286D4×C113—28no—
287D4×C113—44no—
288D4×C113—42no—
289D4×C113—44no—
290D4×C113—416no—
291D4×C113—416no—
292D4×C113—44no—
293D4×C113—42no—
294D4×C113—42no—
295D4×C113—44no—
296D4×C113—44no—
297D4×C113—48no—
298D4×C113—84no—
299D4×C113—84no—
300D4×C113—816no—
301C2×C4×C113—21no—
302C2×C4×C113—21no—
303C2×C4×C113—21no—
304C2×C4×C113—24no—
305C2×C4×C113—24no—
306C2×C4×C113—22no—
307C2×C4×C113—21no—
308C2×C4×C113—21no—
309C2×C4×C113—24no—
310C2×C4×C113—44no—
311C2×C4×C113—44no—
312C2×C4×C113—48no—
313C2×C4×C113—44no—
314C2×C4×C113—42no—
315C2×C4×C113—44no—
316C2×C4×C113—48no—
317C2×C4×C113—44no—
318C2×C4×C113—82no—
319C2×C4×C113#12012yescomplemented
320C22×C113—24no—
321C22×C113—24no—
322C22×C113—22no—
323C22×C113—24no—
324C22×C113—22no—
325C22×C113—22no—
326C22×C113—28no—
327C22×C113—216no—
328C22×C113—22no—
329C22×C113—22no—
330C22×C113—24no—
331C22×C113—42no—
332C22×C113—42no—
333C22×C113—416no—
334C22×C113—42no—
335C22×C113—42no—
336C22×C113—44no—
337C22×C113—416no—
338C22×C113—48no—
339C22×C113—48no—
340C22×C113—42no—
341C22×C113—432no—
342C22×C113—42no—
343C22×C113—432no—
344C22×C113—44no—
345C22×C113—42no—
346C22×C113—48no—
347C22×C113—42no—
348C22×C113—41no—
349C22×C113—44no—
350C22×C113—42no—
351C22×C113—81no—
352C22×C113—88no—
353C22×C113—84no—
354C22×C113—81no—
355C22×C113—162no—
356C22×C113B(4,𝔽2)14yescomplemented
357C22×C113C2×#12011yescharacteristic
358C22×C113C2×#12011yescharacteristic
359C22×C113#53411yescharacteristic
360C22×C113D4214yes—
361C4×C113—22no—
362C4×C113—44no—
363C4×C113—41no—
364C4×C113—42no—
365C4×C113—44no—
366C4×C113—84no—
367#23900C11311yesmaximal, characteristic, direct product factor, Sylow
368C2×C113—21no—
369C2×C113—24no—
370C2×C113—21no—
371C2×C113—24no—
372C2×C113—48no—
373C2×C113—42no—
374C2×C113—42no—
375C2×C113—81no—
376C2×C113—82no—
377C2×C113#240311yescharacteristic
378C2×C113C2×B(4,𝔽2)12yes—
379#3484C2×C11311yescharacteristic, complemented
380C22×#120C2×C11311yescharacteristic, complemented
381C2×B(4,𝔽2)C2×C11312yescomplemented
382#2846C2×C11312yescomplemented
383#2021C2×C11314yescomplemented
384#1898C2×C11312yescomplemented
385#1889C2×C11312yescomplemented
386#1781C2×C11311yescharacteristic, complemented
387C113#2390011yescharacteristic, direct product factor, Sylow
388C26C22×C11311yescharacteristic, complemented
389C2×H(5,𝔽2)C22×C11311yescharacteristic, complemented
390C23×D4—21no—
391C23×D4C22×C11311yescharacteristic
392#546—24no—
393D42—24no—
394#535—21no—
395#534—21no—
396#534C22×C11312yescomplemented
397#525—21no—
398C2×#120—21no—
399C2×#120—21no—
400C2×#120—21no—
401C2×#120—28no—
402C2×#120—24no—
403C2×#120C22×C11312yes—
404C2×#120C22×C11312yes—
405C2×#120C22×C11312yescomplemented
406C2×#120C22×C11314yescomplemented
407#518C22×C11311yescharacteristic, complemented
408C22×C22⋊C4—21no—
409C22×C22⋊C4C22×C11311yescharacteristic, complemented
410B(4,𝔽2)—28no—
411C2×#99C22×C11312yescomplemented
412C2×#99C22×C11314yescomplemented
413C2×#99C22×C11312yescomplemented
414#379—24no—
415#379C22×C11314yescomplemented
416#379C22×C11312yescomplemented
417#342C22×C11314yescomplemented
418C25—21no—
419C25—21no—
420C25—24no—
421C25—24no—
422C25—48no—
423C25—42no—
424C25D4×C11311yescharacteristic, complemented
425C25C23×C11312yes—
426C25C23×C11311yescharacteristic
427H(5,𝔽2)—24no—
428H(5,𝔽2)—42no—
429C2×#41—21no—
430C2×#41—22no—
431C22×D4—28no—
432C22×D4—22no—
433C22×D4—22no—
434C22×D4—21no—
435C22×D4—24no—
436C22×D4—22no—
437C22×D4—22no—
438C22×D4—24no—
439C22×D4—24no—
440C22×D4—42no—
441C22×D4—48no—
442C22×D4D4×C11311yescharacteristic, complemented
443C22×D4D4×C11311yescharacteristic, complemented
444C22×D4D4×C11314yescomplemented
445C22×D4C23×C11311yescharacteristic
446C22×D4C23×C11311yescharacteristic
447C22×D4C23×C11312yes—
448C23×C4—21no—
449C23×C4D4×C11311yescharacteristic, complemented
450#127—22no—
451#124—22no—
452#123—22no—
453#123—22no—
454#123—22no—
455C22⋊Q8—22no—
456#121—22no—
457#121—24no—
458#121—24no—
459#121—24no—
460#120—28no—
461#120—28no—
462#120—24no—
463#120—22no—
464#120—22no—
465#120—22no—
466#120—22no—
467#120—24no—
468#120—24no—
469#120—22no—
470#120—24no—
471#120—24no—
472#120—28no—
473#120—44no—
474#120—416no—
475#120D4×C11318yescomplemented
476C4×D4—24no—
477C4×D4—24no—
478#117—21no—
479C2×C22⋊C4—28no—
480C2×C22⋊C4—22no—
481C2×C22⋊C4—21no—
482C2×C22⋊C4—21no—
483C2×C22⋊C4—22no—
484C2×C22⋊C4—22no—
485C2×C22⋊C4—24no—
486C2×C22⋊C4—24no—
487C2×C22⋊C4—28no—
488C2×C22⋊C4—24no—
489C2×C22⋊C4D4×C11314yescomplemented
490C2×C22⋊C4C23×C11314yes—
491C2×C22⋊C4C23×C11312yes—
492C2×C22⋊C4C23×C11312yes—
493#99—24no—
494#99—28no—
495#99—42no—
496C24—24no—
497C24—28no—
498C24—24no—
499C24—22no—
500C24—22no—
501C24—22no—
502C24—24no—
503C24—216no—
504C24—21no—
505C24—22no—
506C24—22no—
507C24—24no—
508C24—22no—
509C24—44no—
510C24—48no—
511C24—41no—
512C24—416no—
513C24—42no—
514C24—44no—
515C24—416no—
516C24—48no—
517C24—432no—
518C24—42no—
519C24—48no—
520C24—44no—
521C24—432no—
522C24—42no—
523C24—42no—
524C24C2×D4×C11311yescharacteristic
525C24C2×D4×C11314yes—
526C24C2×D4×C11311yescharacteristic
527C24C2×D4×C11311yescharacteristic
528C24C2×D4×C11311yescharacteristic
529C24C2×D4×C11314yescomplemented
530C24C2×D4×C11312yescomplemented
531C24C24×C11311yescharacteristic
532#41—48no—
533#41—42no—
534#41—42no—
535C2×Q8—21no—
536C2×D4—22no—
537C2×D4—22no—
538C2×D4—28no—
539C2×D4—22no—
540C2×D4—21no—
541C2×D4—24no—
542C2×D4—22no—
543C2×D4—22no—
544C2×D4—22no—
545C2×D4—28no—
546C2×D4—24no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4—22no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—24no—
553C2×D4—24no—
554C2×D4—24no—
555C2×D4—22no—
556C2×D4—41no—
557C2×D4—41no—
558C2×D4—416no—
559C2×D4—48no—
560C2×D4—48no—
561C2×D4—48no—
562C2×D4—432no—
563C2×D4—42no—
564C2×D4—42no—
565C2×D4—48no—
566C2×D4—48no—
567C2×D4—416no—
568C2×D4—84no—
569C2×D4C2×D4×C11314yes—
570C22×C4—24no—
571C22×C4—21no—
572C22×C4—22no—
573C22×C4—22no—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—22no—
577C22×C4—24no—
578C22×C4—41no—
579C22×C4—44no—
580C22×C4C2×D4×C11311yescharacteristic
581C22×C4C2×D4×C11311yescharacteristic
582C22×C4C2×D4×C11312yescomplemented
583C22×C4C2×D4×C11314yescomplemented
584C4⋊C4—22no—
585C4⋊C4—24no—
586C22⋊C4—28no—
587C22⋊C4—24no—
588C22⋊C4—22no—
589C22⋊C4—24no—
590C22⋊C4—24no—
591C22⋊C4—24no—
592C22⋊C4—24no—
593C22⋊C4—22no—
594C22⋊C4—22no—
595C22⋊C4—22no—
596C22⋊C4—28no—
597C22⋊C4—24no—
598C22⋊C4—24no—
599C22⋊C4—48no—
600C22⋊C4—416no—
601C22⋊C4—48no—
602C22⋊C4C2×D4×C11314yescomplemented
603C42—22no—
604C23—21no—
605C23—21no—
606C23—24no—
607C23—216no—
608C23—216no—
609C23—28no—
610C23—21no—
611C23—24no—
612C23—21no—
613C23—21no—
614C23—28no—
615C23—28no—
616C23—28no—
617C23—21no—
618C23—21no—
619C23—22no—
620C23—21no—
621C23—21no—
622C23—24no—
623C23—44no—
624C23—42no—
625C23—48no—
626C23—42no—
627C23—44no—
628C23—48no—
629C23—48no—
630C23—48no—
631C23—416no—
632C23—48no—
633C23—48no—
634C23—44no—
635C23—48no—
636C23—48no—
637C23—416no—
638C23—416no—
639C23—464no—
640C23—48no—
641C23—416no—
642C23—42no—
643C23—42no—
644C23—48no—
645C23—42no—
646C23—44no—
647C23—464no—
648C23—416no—
649C23—42no—
650C23—42no—
651C23—44no—
652C23—48no—
653C23—44no—
654C23—82no—
655C23—84no—
656C23—82no—
657C23#120×C11312yes—
658C23#120×C11312yes—
659C23#120×C11312yescomplemented
660C23C22×D4×C11311yescharacteristic
661C23C22×D4×C11312yes—
662C23C22×D4×C11312yes—
663C23H(5,𝔽2)×C11312yes—
664Q8—42no—
665D4—28no—
666D4—44no—
667D4—42no—
668D4—44no—
669D4—416no—
670D4—416no—
671D4—44no—
672D4—42no—
673D4—42no—
674D4—44no—
675D4—44no—
676D4—48no—
677D4—84no—
678D4—84no—
679D4—816no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—24no—
683C2×C4—21no—
684C2×C4—24no—
685C2×C4—22no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—24no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—48no—
692C2×C4—44no—
693C2×C4—42no—
694C2×C4—44no—
695C2×C4—48no—
696C2×C4—44no—
697C2×C4—82no—
698C2×C4#120×C11312yescomplemented
699C22—24no—
700C22—24no—
701C22—22no—
702C22—24no—
703C22—22no—
704C22—22no—
705C22—28no—
706C22—216no—
707C22—22no—
708C22—22no—
709C22—24no—
710C22—42no—
711C22—42no—
712C22—416no—
713C22—42no—
714C22—42no—
715C22—44no—
716C22—416no—
717C22—48no—
718C22—48no—
719C22—42no—
720C22—432no—
721C22—42no—
722C22—432no—
723C22—44no—
724C22—42no—
725C22—48no—
726C22—42no—
727C22—41no—
728C22—44no—
729C22—42no—
730C22—81no—
731C22—88no—
732C22—84no—
733C22—81no—
734C22—162no—
735C22B(4,𝔽2)×C11314yescomplemented
736C22C2×#120×C11311yescharacteristic
737C22C2×#120×C11311yescharacteristic
738C22#534×C11311yescharacteristic
739C22D42×C11314yes—
740C4—22no—
741C4—44no—
742C4—41no—
743C4—42no—
744C4—44no—
745C4—84no—
746C2—21no—
747C2—24no—
748C2—21no—
749C2—24no—
750C2—48no—
751C2—42no—
752C2—42no—
753C2—81no—
754C2—82no—
755C2C113×#240311yescharacteristic
756C2C2×B(4,𝔽2)×C11312yes—
subgroupG/H
center, socleC22×C113C2×#120
commutator, Frattini, cosocleC24C24×C113
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C22×C113 ◁ C25×C113 ◁ G

Complements

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

NH ≅ G/Ntype
1. C113×#3484C2semidirect
2. C22×#120×C113C2semidirect
3. C2×B(4,𝔽2)×C113C2semidirect
4. C113×#2846C2semidirect
5. C113×#2021C2semidirect
6. C113×#1898C2semidirect
7. C113×#1889C2semidirect
8. C113×#1781C2semidirect
9. C26×C113C22semidirect
10. C2×H(5,𝔽2)×C113C22semidirect
17. #534×C113C22semidirect
26. C2×#120×C113C22semidirect
27. C2×#120×C113C22semidirect
28. #518×C113C22semidirect
30. C22×C22⋊C4×C113C22semidirect
32. C2×#99×C113C22semidirect
33. C2×#99×C113C22semidirect
34. C2×#99×C113C22semidirect
36. #379×C113C22semidirect
37. #379×C113C22semidirect
38. #342×C113C22semidirect
45. C25×C113D4semidirect
63. C22×D4×C113D4semidirect
64. C22×D4×C113D4semidirect
65. C22×D4×C113D4semidirect
70. C23×C4×C113D4semidirect
96. #120×C113D4semidirect
110. C2×C22⋊C4×C113D4semidirect
150. C24×C113C2×D4semidirect
151. C24×C113C2×D4semidirect
203. C22×C4×C113C2×D4semidirect
204. C22×C4×C113C2×D4semidirect
223. C22⋊C4×C113C2×D4semidirect
280. C23×C113#120semidirect
319. C2×C4×C113#120semidirect
356. C22×C113B(4,𝔽2)semidirect
367. #23900C113direct (N × H)
379. #3484C2×C113semidirect
380. C22×#120C2×C113semidirect
381. C2×B(4,𝔽2)C2×C113semidirect
382. #2846C2×C113semidirect
383. #2021C2×C113semidirect
384. #1898C2×C113semidirect
385. #1889C2×C113semidirect
386. #1781C2×C113semidirect
387. C113#23900direct (N × H)
388. C26C22×C113semidirect
389. C2×H(5,𝔽2)C22×C113semidirect
396. #534C22×C113semidirect
405. C2×#120C22×C113semidirect
406. C2×#120C22×C113semidirect
407. #518C22×C113semidirect
409. C22×C22⋊C4C22×C113semidirect
411. C2×#99C22×C113semidirect
412. C2×#99C22×C113semidirect
413. C2×#99C22×C113semidirect
415. #379C22×C113semidirect
416. #379C22×C113semidirect
417. #342C22×C113semidirect
424. C25D4×C113semidirect
442. C22×D4D4×C113semidirect
443. C22×D4D4×C113semidirect
444. C22×D4D4×C113semidirect
449. C23×C4D4×C113semidirect
475. #120D4×C113semidirect
489. C2×C22⋊C4D4×C113semidirect
529. C24C2×D4×C113semidirect
530. C24C2×D4×C113semidirect
582. C22×C4C2×D4×C113semidirect
583. C22×C4C2×D4×C113semidirect
602. C22⋊C4C2×D4×C113semidirect
659. C23#120×C113semidirect
698. C2×C4#120×C113semidirect
735. C22B(4,𝔽2)×C113semidirect

Maximal subgroups

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

subgroupindex
C113×#34842
C22×#120×C1132
C2×B(4,𝔽2)×C1132
C113×#28462
C113×#20212
C113×#18982
C113×#18892
C113×#17812
#23900113