Finite Group Databasebeta

← C113×#24262 #43292282

Subgroups — C113×#24262 #43292282

Order 28928.

1654 conjugacy classes of subgroups.

The subgroup lattice has 694 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×#2617C212yesmaximal, complemented
4C113×#2321C211yesmaximal, characteristic, complemented
5C113×#2044C212yesmaximal, complemented
6C113×#2021C212yesmaximal, complemented
7C113×#1964C212yesmaximal, complemented
8C113×#1799C211yesmaximal, characteristic, complemented
9C113×#1790C212yesmaximal, complemented
10C2×H(5,𝔽2)×C113C2212yes—
11#547×C113—22no—
12#546×C113—24no—
13D42×C113—22no—
14#537×C113—21no—
15#534×C113—21no—
16#534×C113C2212yes—
17#532×C113—21no—
18C2×#121×C113—21no—
19C2×#121×C113C2212yes—
20C2×#120×C113C2211yescharacteristic
21C2×#120×C113C2214yescomplemented
22C2×C4×D4×C113C2211yescharacteristic
23C22×C22⋊C4×C113C2211yescharacteristic, complemented
24B(4,𝔽2)×C113—28no—
25C2×#99×C113C2212yes—
26C2×#99×C113C2214yescomplemented
27C2×#99×C113C2214yescomplemented
28#397×C113—22no—
29#394×C113—24no—
30#392×C113—22no—
31#390×C113—21no—
32#388×C113—21no—
33#388×C113—21no—
34#386×C113—21no—
35#386×C113C2211yescharacteristic
36#386×C113C2214yescomplemented
37#385×C113C2211yescharacteristic, complemented
38#380×C113C2212yescomplemented
39#379×C113C2211yescharacteristic, complemented
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—22no—
49C22×D4×C113—24no—
50C22×D4×C113—21no—
51C22×D4×C113—21no—
52C22×D4×C113—24no—
53C22×D4×C113D412yescomplemented
54C22×D4×C113C2314yes—
55C22×D4×C113C2311yescharacteristic
56C23×C4×C113D411yescharacteristic, complemented
57C23×C4×C113C2311yescharacteristic
58C23×C4×C113C2311yescharacteristic
59C4⋊Q8×C113—21no—
60#127×C113—21no—
61#124×C113—22no—
62#123×C113—24no—
63#123×C113—24no—
64C22⋊Q8×C113—24no—
65#121×C113—22no—
66#121×C113—22no—
67#121×C113—24no—
68#121×C113—22no—
69#121×C113—22no—
70#121×C113—22no—
71#121×C113—22no—
72#121×C113—22no—
73#121×C113—22no—
74#120×C113—24no—
75#120×C113—24no—
76#120×C113—22no—
77#120×C113—28no—
78#120×C113—44no—
79#120×C113D414yescomplemented
80C4×D4×C113—22no—
81C4×D4×C113—22no—
82C4×D4×C113—22no—
83C4×D4×C113—22no—
84C2×C4⋊C4×C113—21no—
85C2×C4⋊C4×C113—22no—
86C2×C4⋊C4×C113—21no—
87C2×C4⋊C4×C113D411yescharacteristic, complemented
88C2×C4⋊C4×C113D412yescomplemented
89C2×C22⋊C4×C113—22no—
90C2×C22⋊C4×C113—21no—
91C2×C22⋊C4×C113—21no—
92C2×C22⋊C4×C113—21no—
93C2×C22⋊C4×C113—22no—
94C2×C22⋊C4×C113—22no—
95C2×C22⋊C4×C113—24no—
96C2×C22⋊C4×C113—21no—
97C2×C22⋊C4×C113—24no—
98C2×C22⋊C4×C113—21no—
99C2×C22⋊C4×C113—21no—
100C2×C22⋊C4×C113D411yescharacteristic, complemented
101C2×C22⋊C4×C113D414yescomplemented
102C2×C22⋊C4×C113C2314yes—
103C2×C22⋊C4×C113C2311yescharacteristic
104C2×C22⋊C4×C113C2311yescharacteristic
105C2×C22⋊C4×C113C2311yescharacteristic
106C2×C42×C113—21no—
107C2×C42×C113D411yescharacteristic, complemented
108#99×C113—24no—
109#99×C113—28no—
110#99×C113—44no—
111#95×C113—21no—
112#95×C113—22no—
113#95×C113—21no—
114#95×C113—21no—
115#95×C113—24no—
116C24×C113—22no—
117C24×C113—21no—
118C24×C113—22no—
119C24×C113—21no—
120C24×C113—22no—
121C24×C113—81no—
122C24×C113—81no—
123C24×C113C2×D414yes—
124C24×C113C2×D411yescharacteristic
125C24×C113C2×D412yescomplemented
126C24×C113C2411yescharacteristic
127#41×C113—48no—
128#41×C113—48no—
129#41×C113—44no—
130#41×C113—44no—
131C2×Q8×C113—22no—
132C2×D4×C113—22no—
133C2×D4×C113—22no—
134C2×D4×C113—24no—
135C2×D4×C113—22no—
136C2×D4×C113—24no—
137C2×D4×C113—24no—
138C2×D4×C113—24no—
139C2×D4×C113—24no—
140C2×D4×C113—24no—
141C2×D4×C113—24no—
142C2×D4×C113—22no—
143C2×D4×C113—22no—
144C2×D4×C113—24no—
145C2×D4×C113—22no—
146C2×D4×C113—22no—
147C2×D4×C113—48no—
148C2×D4×C113—48no—
149C2×D4×C113—44no—
150C2×D4×C113—44no—
151C2×D4×C113—48no—
152C2×D4×C113—82no—
153C2×D4×C113—82no—
154C2×D4×C113—81no—
155C2×D4×C113—81no—
156C2×D4×C113—84no—
157C2×D4×C113—84no—
158C2×D4×C113C2×D412yes—
159C2×D4×C113#4112yes—
160C22×C4×C113—22no—
161C22×C4×C113—24no—
162C22×C4×C113—21no—
163C22×C4×C113—21no—
164C22×C4×C113—21no—
165C22×C4×C113—21no—
166C22×C4×C113—22no—
167C22×C4×C113—21no—
168C22×C4×C113—24no—
169C22×C4×C113—81no—
170C22×C4×C113—81no—
171C22×C4×C113—81no—
172C22×C4×C113C2×D414yes—
173C22×C4×C113C2×D411yescharacteristic
174C22×C4×C113C2×D411yescharacteristic
175C22×C4×C113C2×D411yescharacteristic
176C22×C4×C113C2×D411yescharacteristic
177C22×C4×C113C2×D412yes—
178C22×C4×C113C2×D411yescharacteristic
179C22×C4×C113C2×D412yes—
180C4⋊C4×C113—22no—
181C4⋊C4×C113—22no—
182C4⋊C4×C113—22no—
183C4⋊C4×C113—22no—
184C4⋊C4×C113—22no—
185C4⋊C4×C113—82no—
186C4⋊C4×C113—81no—
187C22⋊C4×C113—24no—
188C22⋊C4×C113—24no—
189C22⋊C4×C113—22no—
190C22⋊C4×C113—21no—
191C22⋊C4×C113—24no—
192C22⋊C4×C113—22no—
193C22⋊C4×C113—24no—
194C22⋊C4×C113—24no—
195C22⋊C4×C113—24no—
196C22⋊C4×C113—22no—
197C22⋊C4×C113—24no—
198C22⋊C4×C113—48no—
199C22⋊C4×C113—41no—
200C22⋊C4×C113—41no—
201C22⋊C4×C113—42no—
202C22⋊C4×C113—81no—
203C22⋊C4×C113—81no—
204C22⋊C4×C113—81no—
205C22⋊C4×C113—84no—
206C22⋊C4×C113C2×D412yescomplemented
207C42×C113—21no—
208C42×C113—21no—
209C42×C113—81no—
210C23×C113—21no—
211C23×C113—21no—
212C23×C113—24no—
213C23×C113—22no—
214C23×C113—24no—
215C23×C113—24no—
216C23×C113—24no—
217C23×C113—41no—
218C23×C113—41no—
219C23×C113—41no—
220C23×C113—41no—
221C23×C113—41no—
222C23×C113—41no—
223C23×C113—41no—
224C23×C113—44no—
225C23×C113—41no—
226C23×C113—44no—
227C23×C113—44no—
228C23×C113—44no—
229C23×C113—44no—
230C23×C113—41no—
231C23×C113—41no—
232C23×C113—42no—
233C23×C113—82no—
234C23×C113—82no—
235C23×C113—84no—
236C23×C113—82no—
237C23×C113—82no—
238C23×C113#12112yes—
239C23×C113C22×D411yescharacteristic
240C23×C113C22×D412yes—
241C23×C113C22×D411yescharacteristic
242C23×C113C2×#4111yescharacteristic
243C23×C113H(5,𝔽2)12yes—
244Q8×C113—44no—
245D4×C113—24no—
246D4×C113—24no—
247D4×C113—44no—
248D4×C113—44no—
249D4×C113—48no—
250D4×C113—44no—
251D4×C113—44no—
252D4×C113—44no—
253D4×C113—44no—
254D4×C113—82no—
255D4×C113—82no—
256D4×C113—84no—
257D4×C113—82no—
258D4×C113—816no—
259C2×C4×C113—21no—
260C2×C4×C113—21no—
261C2×C4×C113—21no—
262C2×C4×C113—21no—
263C2×C4×C113—24no—
264C2×C4×C113—22no—
265C2×C4×C113—24no—
266C2×C4×C113—24no—
267C2×C4×C113—41no—
268C2×C4×C113—42no—
269C2×C4×C113—41no—
270C2×C4×C113—42no—
271C2×C4×C113—42no—
272C2×C4×C113—48no—
273C2×C4×C113—41no—
274C2×C4×C113—41no—
275C2×C4×C113—44no—
276C2×C4×C113—41no—
277C2×C4×C113—41no—
278C2×C4×C113—41no—
279C2×C4×C113—41no—
280C2×C4×C113—41no—
281C2×C4×C113—44no—
282C2×C4×C113—44no—
283C2×C4×C113—41no—
284C2×C4×C113—44no—
285C2×C4×C113—41no—
286C2×C4×C113—41no—
287C2×C4×C113—44no—
288C2×C4×C113—81no—
289C2×C4×C113#12011yescharacteristic
290C2×C4×C113#12011yescharacteristic
291C2×C4×C113#12012yes—
292C2×C4×C113#12112yes—
293C22×C113—21no—
294C22×C113—22no—
295C22×C113—21no—
296C22×C113—22no—
297C22×C113—22no—
298C22×C113—41no—
299C22×C113—41no—
300C22×C113—42no—
301C22×C113—42no—
302C22×C113—42no—
303C22×C113—48no—
304C22×C113—42no—
305C22×C113—41no—
306C22×C113—41no—
307C22×C113—44no—
308C22×C113—42no—
309C22×C113—44no—
310C22×C113—44no—
311C22×C113—81no—
312C22×C113—84no—
313C22×C113—84no—
314C22×C113—81no—
315C22×C113—81no—
316C22×C113—84no—
317C22×C113—81no—
318C22×C113—81no—
319C22×C113—164no—
320C22×C113C2×#12011yescharacteristic
321C22×C113C2×#12111yescharacteristic
322C22×C113#53511yescharacteristic
323C22×C113D4212yes—
324C22×C113#54612yes—
325C4×C113—22no—
326C4×C113—21no—
327C4×C113—21no—
328C4×C113—22no—
329C4×C113—42no—
330C4×C113—44no—
331C4×C113—41no—
332C4×C113—41no—
333C4×C113—81no—
334C4×C113—84no—
335C4×C113—81no—
336#24262C11311yesmaximal, characteristic, direct product factor, Sylow
337C2×C113—21no—
338C2×C113—22no—
339C2×C113—21no—
340C2×C113—22no—
341C2×C113—42no—
342C2×C113—82no—
343C2×C113—84no—
344C2×C113#240811yescharacteristic
345C2×C113#302611yescharacteristic
346C2×C113#302711yescharacteristic
347#3496C2×C11311yescharacteristic, complemented
348C2×B(4,𝔽2)C2×C11312yescomplemented
349#2617C2×C11312yescomplemented
350#2321C2×C11311yescharacteristic, complemented
351#2044C2×C11312yescomplemented
352#2021C2×C11312yescomplemented
353#1964C2×C11312yescomplemented
354#1799C2×C11311yescharacteristic, complemented
355#1790C2×C11312yescomplemented
356C113#2426211yescharacteristic, direct product factor, Sylow
357C2×H(5,𝔽2)C22×C11312yes—
358#547—22no—
359#546—24no—
360D42—22no—
361#537—21no—
362#534—21no—
363#534C22×C11312yes—
364#532—21no—
365C2×#121—21no—
366C2×#121C22×C11312yes—
367C2×#120C22×C11311yescharacteristic
368C2×#120C22×C11314yescomplemented
369C2×C4×D4C22×C11311yescharacteristic
370C22×C22⋊C4C22×C11311yescharacteristic, complemented
371B(4,𝔽2)—28no—
372C2×#99C22×C11312yes—
373C2×#99C22×C11314yescomplemented
374C2×#99C22×C11314yescomplemented
375#397—22no—
376#394—24no—
377#392—22no—
378#390—21no—
379#388—21no—
380#388—21no—
381#386—21no—
382#386C22×C11311yescharacteristic
383#386C22×C11314yescomplemented
384#385C22×C11311yescharacteristic, complemented
385#380C22×C11312yescomplemented
386#379C22×C11311yescharacteristic, complemented
387C4×C22⋊C4C22×C11311yescharacteristic, complemented
388#342C22×C11312yescomplemented
389C25C23×C11311yescharacteristic
390H(5,𝔽2)—24no—
391H(5,𝔽2)—24no—
392H(5,𝔽2)—44no—
393C2×#41—22no—
394C2×#41—24no—
395C22×D4—22no—
396C22×D4—24no—
397C22×D4—21no—
398C22×D4—21no—
399C22×D4—24no—
400C22×D4D4×C11312yescomplemented
401C22×D4C23×C11314yes—
402C22×D4C23×C11311yescharacteristic
403C23×C4D4×C11311yescharacteristic, complemented
404C23×C4C23×C11311yescharacteristic
405C23×C4C23×C11311yescharacteristic
406C4⋊Q8—21no—
407#127—21no—
408#124—22no—
409#123—24no—
410#123—24no—
411C22⋊Q8—24no—
412#121—22no—
413#121—22no—
414#121—24no—
415#121—22no—
416#121—22no—
417#121—22no—
418#121—22no—
419#121—22no—
420#121—22no—
421#120—24no—
422#120—24no—
423#120—22no—
424#120—28no—
425#120—44no—
426#120D4×C11314yescomplemented
427C4×D4—22no—
428C4×D4—22no—
429C4×D4—22no—
430C4×D4—22no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—22no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4D4×C11311yescharacteristic, complemented
435C2×C4⋊C4D4×C11312yescomplemented
436C2×C22⋊C4—22no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—24no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4D4×C11311yescharacteristic, complemented
448C2×C22⋊C4D4×C11314yescomplemented
449C2×C22⋊C4C23×C11314yes—
450C2×C22⋊C4C23×C11311yescharacteristic
451C2×C22⋊C4C23×C11311yescharacteristic
452C2×C22⋊C4C23×C11311yescharacteristic
453C2×C42—21no—
454C2×C42D4×C11311yescharacteristic, complemented
455#99—24no—
456#99—28no—
457#99—44no—
458#95—21no—
459#95—22no—
460#95—21no—
461#95—21no—
462#95—24no—
463C24—22no—
464C24—21no—
465C24—22no—
466C24—21no—
467C24—22no—
468C24—81no—
469C24—81no—
470C24C2×D4×C11314yes—
471C24C2×D4×C11311yescharacteristic
472C24C2×D4×C11312yescomplemented
473C24C24×C11311yescharacteristic
474#41—48no—
475#41—48no—
476#41—44no—
477#41—44no—
478C2×Q8—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—24no—
482C2×D4—22no—
483C2×D4—24no—
484C2×D4—24no—
485C2×D4—24no—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—24no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—24no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—48no—
495C2×D4—48no—
496C2×D4—44no—
497C2×D4—44no—
498C2×D4—48no—
499C2×D4—82no—
500C2×D4—82no—
501C2×D4—81no—
502C2×D4—81no—
503C2×D4—84no—
504C2×D4—84no—
505C2×D4C2×D4×C11312yes—
506C2×D4#41×C11312yes—
507C22×C4—22no—
508C22×C4—24no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—24no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4—81no—
519C22×C4C2×D4×C11314yes—
520C22×C4C2×D4×C11311yescharacteristic
521C22×C4C2×D4×C11311yescharacteristic
522C22×C4C2×D4×C11311yescharacteristic
523C22×C4C2×D4×C11311yescharacteristic
524C22×C4C2×D4×C11312yes—
525C22×C4C2×D4×C11311yescharacteristic
526C22×C4C2×D4×C11312yes—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—82no—
533C4⋊C4—81no—
534C22⋊C4—24no—
535C22⋊C4—24no—
536C22⋊C4—22no—
537C22⋊C4—21no—
538C22⋊C4—24no—
539C22⋊C4—22no—
540C22⋊C4—24no—
541C22⋊C4—24no—
542C22⋊C4—24no—
543C22⋊C4—22no—
544C22⋊C4—24no—
545C22⋊C4—48no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—42no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C22⋊C4—81no—
552C22⋊C4—84no—
553C22⋊C4C2×D4×C11312yescomplemented
554C42—21no—
555C42—21no—
556C42—81no—
557C23—21no—
558C23—21no—
559C23—24no—
560C23—22no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—44no—
572C23—41no—
573C23—44no—
574C23—44no—
575C23—44no—
576C23—44no—
577C23—41no—
578C23—41no—
579C23—42no—
580C23—82no—
581C23—82no—
582C23—84no—
583C23—82no—
584C23—82no—
585C23#121×C11312yes—
586C23C22×D4×C11311yescharacteristic
587C23C22×D4×C11312yes—
588C23C22×D4×C11311yescharacteristic
589C23C2×#41×C11311yescharacteristic
590C23H(5,𝔽2)×C11312yes—
591Q8—44no—
592D4—24no—
593D4—24no—
594D4—44no—
595D4—44no—
596D4—48no—
597D4—44no—
598D4—44no—
599D4—44no—
600D4—44no—
601D4—82no—
602D4—84no—
603D4—82no—
604D4—82no—
605D4—816no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—24no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—48no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—44no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—44no—
629C2×C4—44no—
630C2×C4—41no—
631C2×C4—44no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—44no—
635C2×C4—81no—
636C2×C4#120×C11311yescharacteristic
637C2×C4#120×C11311yescharacteristic
638C2×C4#120×C11312yes—
639C2×C4#121×C11312yes—
640C22—21no—
641C22—22no—
642C22—21no—
643C22—22no—
644C22—22no—
645C22—41no—
646C22—41no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—48no—
651C22—42no—
652C22—41no—
653C22—41no—
654C22—44no—
655C22—42no—
656C22—44no—
657C22—44no—
658C22—81no—
659C22—84no—
660C22—84no—
661C22—81no—
662C22—81no—
663C22—84no—
664C22—81no—
665C22—81no—
666C22—164no—
667C22C2×#120×C11311yescharacteristic
668C22C2×#121×C11311yescharacteristic
669C22#535×C11311yescharacteristic
670C22D42×C11312yes—
671C22#546×C11312yes—
672C4—22no—
673C4—21no—
674C4—21no—
675C4—22no—
676C4—42no—
677C4—44no—
678C4—41no—
679C4—41no—
680C4—84no—
681C4—81no—
682C4—81no—
683C2—21no—
684C2—22no—
685C2—21no—
686C2—22no—
687C2—42no—
688C2—82no—
689C2—84no—
690C2C113×#240811yescharacteristic
691C2C113×#302611yescharacteristic
692C2C113×#302711yescharacteristic
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×#2617C2semidirect
4. C113×#2321C2semidirect
5. C113×#2044C2semidirect
6. C113×#2021C2semidirect
7. C113×#1964C2semidirect
8. C113×#1799C2semidirect
9. C113×#1790C2semidirect
21. C2×#120×C113C22semidirect
23. C22×C22⋊C4×C113C22semidirect
26. C2×#99×C113C22semidirect
27. C2×#99×C113C22semidirect
36. #386×C113C22semidirect
37. #385×C113C22semidirect
38. #380×C113C22semidirect
39. #379×C113C22semidirect
40. C4×C22⋊C4×C113C22semidirect
41. #342×C113C22semidirect
53. C22×D4×C113D4semidirect
56. C23×C4×C113D4semidirect
79. #120×C113D4semidirect
87. C2×C4⋊C4×C113D4semidirect
88. C2×C4⋊C4×C113D4semidirect
100. C2×C22⋊C4×C113D4semidirect
101. C2×C22⋊C4×C113D4semidirect
107. C2×C42×C113D4semidirect
125. C24×C113C2×D4semidirect
206. C22⋊C4×C113C2×D4semidirect
336. #24262C113direct (N × H)
347. #3496C2×C113semidirect
348. C2×B(4,𝔽2)C2×C113semidirect
349. #2617C2×C113semidirect
350. #2321C2×C113semidirect
351. #2044C2×C113semidirect
352. #2021C2×C113semidirect
353. #1964C2×C113semidirect
354. #1799C2×C113semidirect
355. #1790C2×C113semidirect
356. C113#24262direct (N × H)
368. C2×#120C22×C113semidirect
370. C22×C22⋊C4C22×C113semidirect
373. C2×#99C22×C113semidirect
374. C2×#99C22×C113semidirect
383. #386C22×C113semidirect
384. #385C22×C113semidirect
385. #380C22×C113semidirect
386. #379C22×C113semidirect
387. C4×C22⋊C4C22×C113semidirect
388. #342C22×C113semidirect
400. C22×D4D4×C113semidirect
403. C23×C4D4×C113semidirect
426. #120D4×C113semidirect
434. C2×C4⋊C4D4×C113semidirect
435. C2×C4⋊C4D4×C113semidirect
447. C2×C22⋊C4D4×C113semidirect
448. C2×C22⋊C4D4×C113semidirect
454. C2×C42D4×C113semidirect
472. C24C2×D4×C113semidirect
553. C22⋊C4C2×D4×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×#26172
C113×#23212
C113×#20442
C113×#20212
C113×#19642
C113×#17992
C113×#17902
#24262113