Finite Group Databasebeta

← C113×#8408 #43276428

Subgroups — C113×#8408 #43276428

Order 28928.

1040 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#538×C113C211yesmaximal, characteristic
2C113×#1874C211yesmaximal, characteristic, complemented
3C113×#1872C211yesmaximal, characteristic, complemented
4C2×#328×C113C211yesmaximal, characteristic, complemented
5C2×#327×C113C211yesmaximal, characteristic, complemented
6C2×#323×C113C211yesmaximal, characteristic, complemented
7C113×#1439C211yesmaximal, characteristic, complemented
8#538×C113—22no—
9#538×C113—22no—
10#538×C113—22no—
11#538×C113C414yescomplemented
12C2×#126×C113—21no—
13C2×#124×C113—21no—
14C2×#123×C113—21no—
15C2×C22⋊Q8×C113C2211yescharacteristic
16C2×#121×C113—21no—
17C2×#121×C113C2211yescharacteristic
18C2×#120×C113—21no—
19C2×C4×D4×C113—21no—
20C22×C4⋊C4×C113C2211yescharacteristic
21C22×C22⋊C4×C113—21no—
22C22×C22⋊C4×C113C2211yescharacteristic
23C2×#103×C113—21no—
24C2×#102×C113—21no—
25C2×C22⋊C8×C113C2211yescharacteristic
26C2×C22⋊C8×C113C2211yescharacteristic
27C2×#95×C113—21no—
28C2×#95×C113C2211yescharacteristic
29#340×C113—21no—
30#340×C113—21no—
31#328×C113—22no—
32#327×C113—22no—
33#323×C113—22no—
34C25×C113D411yescharacteristic
35C22×Q8×C113D411yescharacteristic
36C22×D4×C113—21no—
37C22×D4×C113—21no—
38C22×D4×C113—21no—
39C22×D4×C113D411yescharacteristic
40C23×C4×C113—21no—
41C23×C4×C113—21no—
42C23×C4×C113—21no—
43C23×C4×C113D411yescharacteristic
44C23×C4×C113C2311yescharacteristic
45C22×C8×C113—21no—
46C22×C8×C113—21no—
47#126×C113—24no—
48#126×C113—24no—
49#124×C113—24no—
50#124×C113—24no—
51#123×C113—24no—
52#123×C113—24no—
53C22⋊Q8×C113—21no—
54C22⋊Q8×C113—21no—
55C22⋊Q8×C113C2×C412yes—
56C22⋊Q8×C113D412yes—
57#121×C113—24no—
58#121×C113—24no—
59#121×C113—21no—
60#121×C113—21no—
61#121×C113C2×C412yes—
62#121×C113D412yes—
63#120×C113—24no—
64#120×C113—24no—
65C4×D4×C113—24no—
66C4×D4×C113—24no—
67C2×C4⋊C4×C113—21no—
68C2×C4⋊C4×C113—21no—
69C2×C4⋊C4×C113—21no—
70C2×C4⋊C4×C113—21no—
71C2×C4⋊C4×C113—42no—
72C2×C4⋊C4×C113D411yescharacteristic
73C2×C4⋊C4×C113D411yescharacteristic
74C2×C22⋊C4×C113—21no—
75C2×C22⋊C4×C113—21no—
76C2×C22⋊C4×C113—21no—
77C2×C22⋊C4×C113—21no—
78C2×C22⋊C4×C113—21no—
79C2×C22⋊C4×C113—21no—
80C2×C22⋊C4×C113—21no—
81C2×C22⋊C4×C113—21no—
82C2×C22⋊C4×C113—21no—
83C2×C22⋊C4×C113—42no—
84C2×C22⋊C4×C113—42no—
85C2×C22⋊C4×C113—42no—
86C2×C22⋊C4×C113C2×C412yes—
87C2×C22⋊C4×C113D412yes—
88C2×C42×C113—21no—
89#103×C113—42no—
90#102×C113—42no—
91C22⋊C8×C113—21no—
92C22⋊C8×C113—21no—
93C22⋊C8×C113—21no—
94C22⋊C8×C113—21no—
95#95×C113—21no—
96#95×C113—21no—
97#95×C113—42no—
98C24×C113—21no—
99C24×C113—21no—
100C24×C113—21no—
101C24×C113—21no—
102C24×C113—21no—
103C24×C113—21no—
104C24×C113—21no—
105C24×C113—41no—
106C24×C113—41no—
107C24×C113—41no—
108C24×C113—41no—
109C24×C113C22⋊C412yes—
110C24×C113C2×D411yescharacteristic
111C2×Q8×C113—21no—
112C2×Q8×C113—41no—
113C2×Q8×C113—41no—
114C2×Q8×C113C22⋊C412yescomplemented
115C2×D4×C113—22no—
116C2×D4×C113—22no—
117C2×D4×C113—24no—
118C2×D4×C113—24no—
119C2×D4×C113—21no—
120C2×D4×C113—41no—
121C2×D4×C113—41no—
122C2×D4×C113—41no—
123C2×D4×C113—41no—
124C2×D4×C113—41no—
125C2×D4×C113—41no—
126C2×D4×C113—81no—
127C2×D4×C113—81no—
128C2×D4×C113—81no—
129C2×D4×C113—81no—
130C2×D4×C113C22⋊C412yescomplemented
131C22×C4×C113—21no—
132C22×C4×C113—21no—
133C22×C4×C113—21no—
134C22×C4×C113—21no—
135C22×C4×C113—24no—
136C22×C4×C113—21no—
137C22×C4×C113—22no—
138C22×C4×C113—22no—
139C22×C4×C113—41no—
140C22×C4×C113—41no—
141C22×C4×C113—41no—
142C22×C4×C113—41no—
143C22×C4×C113—41no—
144C22×C4×C113—41no—
145C22×C4×C113—41no—
146C22×C4×C113—41no—
147C22×C4×C113—41no—
148C22×C4×C113—41no—
149C22×C4×C113—41no—
150C22×C4×C113—41no—
151C22×C4×C113—41no—
152C22×C4×C113—41no—
153C22×C4×C113—41no—
154C22×C4×C113—41no—
155C22×C4×C113—81no—
156C22×C4×C113—81no—
157C22×C4×C113C22⋊C412yes—
158C22×C4×C113C22×C411yescharacteristic
159C22×C4×C113C2×D411yescharacteristic
160C22×C4×C113C2×D411yescharacteristic
161C22×C4×C113C2×D411yescharacteristic
162C22×C4×C113C2×D411yescharacteristic
163C22×C4×C113C2×D411yescharacteristic
164C2×C8×C113—41no—
165C2×C8×C113—41no—
166C2×C8×C113—41no—
167C2×C8×C113—41no—
168C2×C8×C113—41no—
169C2×C8×C113—41no—
170C4⋊C4×C113—24no—
171C4⋊C4×C113—22no—
172C4⋊C4×C113—22no—
173C4⋊C4×C113—21no—
174C4⋊C4×C113—21no—
175C4⋊C4×C113—22no—
176C4⋊C4×C113—22no—
177C4⋊C4×C113—41no—
178C4⋊C4×C113—41no—
179C4⋊C4×C113C22⋊C412yescomplemented
180C4⋊C4×C113C22⋊C412yescomplemented
181C22⋊C4×C113—24no—
182C22⋊C4×C113—24no—
183C22⋊C4×C113—24no—
184C22⋊C4×C113—22no—
185C22⋊C4×C113—22no—
186C22⋊C4×C113—22no—
187C22⋊C4×C113—22no—
188C22⋊C4×C113—22no—
189C22⋊C4×C113—22no—
190C22⋊C4×C113—22no—
191C22⋊C4×C113—22no—
192C22⋊C4×C113—48no—
193C42×C113—24no—
194C23×C113—21no—
195C23×C113—21no—
196C23×C113—21no—
197C23×C113—21no—
198C23×C113—22no—
199C23×C113—22no—
200C23×C113—22no—
201C23×C113—22no—
202C23×C113—42no—
203C23×C113—42no—
204C23×C113—42no—
205C23×C113—42no—
206C23×C113—42no—
207C23×C113—42no—
208C23×C113—41no—
209C23×C113—41no—
210C23×C113—41no—
211C23×C113—41no—
212C23×C113—41no—
213C23×C113—41no—
214C23×C113—41no—
215C23×C113—41no—
216C23×C113—41no—
217C23×C113—41no—
218C23×C113—41no—
219C23×C113—41no—
220C23×C113—41no—
221C23×C113—41no—
222C23×C113—81no—
223C23×C113—81no—
224C23×C113—81no—
225C23×C113—81no—
226C23×C113—81no—
227C23×C113—81no—
228C23×C113C2×C22⋊C411yescharacteristic
229C23×C113#12011yescharacteristic
230C23×C113#12011yescharacteristic
231C23×C113#13511yescharacteristic
232C23×C113#13511yescharacteristic
233C23×C113AGL(1,ℤ/8)11yescharacteristic
234C23×C113#13711yescharacteristic
235Q8×C113—42no—
236Q8×C113—81no—
237D4×C113—42no—
238D4×C113—42no—
239D4×C113—42no—
240D4×C113—42no—
241D4×C113—42no—
242D4×C113—81no—
243D4×C113—84no—
244D4×C113—84no—
245C2×C4×C113—21no—
246C2×C4×C113—21no—
247C2×C4×C113—21no—
248C2×C4×C113—21no—
249C2×C4×C113—22no—
250C2×C4×C113—22no—
251C2×C4×C113—22no—
252C2×C4×C113—22no—
253C2×C4×C113—41no—
254C2×C4×C113—41no—
255C2×C4×C113—41no—
256C2×C4×C113—41no—
257C2×C4×C113—41no—
258C2×C4×C113—41no—
259C2×C4×C113—41no—
260C2×C4×C113—41no—
261C2×C4×C113—41no—
262C2×C4×C113—41no—
263C2×C4×C113—41no—
264C2×C4×C113—41no—
265C2×C4×C113—42no—
266C2×C4×C113—42no—
267C2×C4×C113—42no—
268C2×C4×C113—42no—
269C2×C4×C113—42no—
270C2×C4×C113—42no—
271C2×C4×C113—42no—
272C2×C4×C113—81no—
273C2×C4×C113—84no—
274C2×C4×C113—81no—
275C2×C4×C113—81no—
276C2×C4×C113—81no—
277C2×C4×C113—81no—
278C2×C4×C113—81no—
279C2×C4×C113—81no—
280C2×C4×C113—81no—
281C2×C4×C113—81no—
282C2×C4×C113C2×C22⋊C411yescharacteristic
283C2×C4×C113C2×C22⋊C411yescharacteristic
284C2×C4×C113#12011yescharacteristic
285C2×C4×C113#12011yescharacteristic
286C8×C113—81no—
287C8×C113—81no—
288C22×C113—21no—
289C22×C113—21no—
290C22×C113—21no—
291C22×C113—21no—
292C22×C113—21no—
293C22×C113—21no—
294C22×C113—21no—
295C22×C113—21no—
296C22×C113—21no—
297C22×C113—21no—
298C22×C113—21no—
299C22×C113—21no—
300C22×C113—44no—
301C22×C113—42no—
302C22×C113—42no—
303C22×C113—42no—
304C22×C113—42no—
305C22×C113—42no—
306C22×C113—42no—
307C22×C113—82no—
308C22×C113—82no—
309C22×C113—82no—
310C22×C113—81no—
311C22×C113—81no—
312C22×C113—81no—
313C22×C113—81no—
314C22×C113—81no—
315C22×C113—81no—
316C22×C113—81no—
317C22×C113—81no—
318C22×C113#37911yescharacteristic
319C22×C113#41611yescharacteristic
320C22×C113#41711yescharacteristic
321C22×C113#44911yescharacteristic
322C22×C113#44911yescharacteristic
323C22×C113#45211yescharacteristic
324C22×C113#45211yescharacteristic
325C22×C113#45311yescharacteristic
326C22×C113#45511yescharacteristic
327C22×C113B(4,𝔽2)11yescharacteristic
328C22×C113#45811yescharacteristic
329C4×C113—21no—
330C4×C113—21no—
331C4×C113—21no—
332C4×C113—21no—
333C4×C113—42no—
334C4×C113—42no—
335C4×C113—42no—
336C4×C113—42no—
337C4×C113—82no—
338C4×C113—82no—
339#8408C11311yesmaximal, characteristic, direct product factor, Sylow
340C2×C113—21no—
341C2×C113—21no—
342C2×C113—21no—
343C2×C113—21no—
344C2×C113—82no—
345C2×C113—82no—
346C2×C113#160011yescharacteristic
347C2×C113#160611yescharacteristic
348C2×C113#161211yescharacteristic
349C2×C113#161811yescharacteristic
350C2×C113#178811yescharacteristic
351C2×C113#179011yescharacteristic
352C2×C113#179211yescharacteristic
353C2×#538C2×C11311yescharacteristic
354#1874C2×C11311yescharacteristic, complemented
355#1872C2×C11311yescharacteristic, complemented
356C2×#328C2×C11311yescharacteristic, complemented
357C2×#327C2×C11311yescharacteristic, complemented
358C2×#323C2×C11311yescharacteristic, complemented
359#1439C2×C11311yescharacteristic, complemented
360C113#840811yescharacteristic, direct product factor, Sylow
361#538—22no—
362#538—22no—
363#538—22no—
364#538C4×C11314yescomplemented
365C2×#126—21no—
366C2×#124—21no—
367C2×#123—21no—
368C2×C22⋊Q8C22×C11311yescharacteristic
369C2×#121—21no—
370C2×#121C22×C11311yescharacteristic
371C2×#120—21no—
372C2×C4×D4—21no—
373C22×C4⋊C4C22×C11311yescharacteristic
374C22×C22⋊C4—21no—
375C22×C22⋊C4C22×C11311yescharacteristic
376C2×#103—21no—
377C2×#102—21no—
378C2×C22⋊C8C22×C11311yescharacteristic
379C2×C22⋊C8C22×C11311yescharacteristic
380C2×#95—21no—
381C2×#95C22×C11311yescharacteristic
382#340—21no—
383#340—21no—
384#328—22no—
385#327—22no—
386#323—22no—
387C25D4×C11311yescharacteristic
388C22×Q8D4×C11311yescharacteristic
389C22×D4—21no—
390C22×D4—21no—
391C22×D4—21no—
392C22×D4D4×C11311yescharacteristic
393C23×C4—21no—
394C23×C4—21no—
395C23×C4—21no—
396C23×C4D4×C11311yescharacteristic
397C23×C4C23×C11311yescharacteristic
398C22×C8—21no—
399C22×C8—21no—
400#126—24no—
401#126—24no—
402#124—24no—
403#124—24no—
404#123—24no—
405#123—24no—
406C22⋊Q8—21no—
407C22⋊Q8—21no—
408C22⋊Q8C2×C4×C11312yes—
409C22⋊Q8D4×C11312yes—
410#121—24no—
411#121—24no—
412#121—21no—
413#121—21no—
414#121C2×C4×C11312yes—
415#121D4×C11312yes—
416#120—24no—
417#120—24no—
418C4×D4—24no—
419C4×D4—24no—
420C2×C4⋊C4—21no—
421C2×C4⋊C4—21no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—42no—
425C2×C4⋊C4D4×C11311yescharacteristic
426C2×C4⋊C4D4×C11311yescharacteristic
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—42no—
437C2×C22⋊C4—42no—
438C2×C22⋊C4—42no—
439C2×C22⋊C4C2×C4×C11312yes—
440C2×C22⋊C4D4×C11312yes—
441C2×C42—21no—
442#103—42no—
443#102—42no—
444C22⋊C8—21no—
445C22⋊C8—21no—
446C22⋊C8—21no—
447C22⋊C8—21no—
448#95—21no—
449#95—21no—
450#95—42no—
451C24—21no—
452C24—21no—
453C24—21no—
454C24—21no—
455C24—21no—
456C24—21no—
457C24—21no—
458C24—41no—
459C24—41no—
460C24—41no—
461C24—41no—
462C24C22⋊C4×C11312yes—
463C24C2×D4×C11311yescharacteristic
464C2×Q8—21no—
465C2×Q8—41no—
466C2×Q8—41no—
467C2×Q8C22⋊C4×C11312yescomplemented
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—24no—
471C2×D4—24no—
472C2×D4—21no—
473C2×D4—41no—
474C2×D4—41no—
475C2×D4—41no—
476C2×D4—41no—
477C2×D4—41no—
478C2×D4—41no—
479C2×D4—81no—
480C2×D4—81no—
481C2×D4—81no—
482C2×D4—81no—
483C2×D4C22⋊C4×C11312yescomplemented
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—24no—
489C22×C4—21no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—41no—
493C22×C4—41no—
494C22×C4—41no—
495C22×C4—41no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4C22⋊C4×C11312yes—
511C22×C4C22×C4×C11311yescharacteristic
512C22×C4C2×D4×C11311yescharacteristic
513C22×C4C2×D4×C11311yescharacteristic
514C22×C4C2×D4×C11311yescharacteristic
515C22×C4C2×D4×C11311yescharacteristic
516C22×C4C2×D4×C11311yescharacteristic
517C2×C8—41no—
518C2×C8—41no—
519C2×C8—41no—
520C2×C8—41no—
521C2×C8—41no—
522C2×C8—41no—
523C4⋊C4—24no—
524C4⋊C4—22no—
525C4⋊C4—22no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—41no—
531C4⋊C4—41no—
532C4⋊C4C22⋊C4×C11312yescomplemented
533C4⋊C4C22⋊C4×C11312yescomplemented
534C22⋊C4—24no—
535C22⋊C4—24no—
536C22⋊C4—24no—
537C22⋊C4—22no—
538C22⋊C4—22no—
539C22⋊C4—22no—
540C22⋊C4—22no—
541C22⋊C4—22no—
542C22⋊C4—22no—
543C22⋊C4—22no—
544C22⋊C4—22no—
545C22⋊C4—48no—
546C42—24no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—22no—
552C23—22no—
553C23—22no—
554C23—22no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—81no—
576C23—81no—
577C23—81no—
578C23—81no—
579C23—81no—
580C23—81no—
581C23C2×C22⋊C4×C11311yescharacteristic
582C23#120×C11311yescharacteristic
583C23#120×C11311yescharacteristic
584C23#135×C11311yescharacteristic
585C23#135×C11311yescharacteristic
586C23AGL(1,ℤ/8)×C11311yescharacteristic
587C23#137×C11311yescharacteristic
588Q8—42no—
589Q8—81no—
590D4—42no—
591D4—42no—
592D4—42no—
593D4—42no—
594D4—42no—
595D4—81no—
596D4—84no—
597D4—84no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—81no—
626C2×C4—84no—
627C2×C4—81no—
628C2×C4—81no—
629C2×C4—81no—
630C2×C4—81no—
631C2×C4—81no—
632C2×C4—81no—
633C2×C4—81no—
634C2×C4—81no—
635C2×C4C2×C22⋊C4×C11311yescharacteristic
636C2×C4C2×C22⋊C4×C11311yescharacteristic
637C2×C4#120×C11311yescharacteristic
638C2×C4#120×C11311yescharacteristic
639C8—81no—
640C8—81no—
641C22—21no—
642C22—21no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—21no—
647C22—21no—
648C22—21no—
649C22—21no—
650C22—21no—
651C22—21no—
652C22—21no—
653C22—44no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—82no—
661C22—82no—
662C22—82no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22—81no—
670C22—81no—
671C22#379×C11311yescharacteristic
672C22#416×C11311yescharacteristic
673C22#417×C11311yescharacteristic
674C22#449×C11311yescharacteristic
675C22#449×C11311yescharacteristic
676C22#452×C11311yescharacteristic
677C22#452×C11311yescharacteristic
678C22#453×C11311yescharacteristic
679C22#455×C11311yescharacteristic
680C22B(4,𝔽2)×C11311yescharacteristic
681C22#458×C11311yescharacteristic
682C4—21no—
683C4—21no—
684C4—21no—
685C4—21no—
686C4—42no—
687C4—42no—
688C4—42no—
689C4—42no—
690C4—82no—
691C4—82no—
692C2—21no—
693C2—21no—
694C2—21no—
695C2—21no—
696C2—82no—
697C2—82no—
698C2C113×#160011yescharacteristic
699C2C113×#160611yescharacteristic
700C2C113×#161211yescharacteristic
701C2C113×#161811yescharacteristic
702C2C113×#178811yescharacteristic
703C2C113×#179011yescharacteristic
704C2C113×#179211yescharacteristic
subgroupG/H
center, socleC23×C113#120
commutatorC22×C4C22×C4×C113
Frattini, cosocleC23×C4C23×C113
prime radicalC2×#538×C113C2
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C23×C113 ◁ C23×C4×C113 ◁ G

Complements

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

NH ≅ G/Ntype
2. C113×#1874C2semidirect
3. C113×#1872C2semidirect
4. C2×#328×C113C2semidirect
5. C2×#327×C113C2semidirect
6. C2×#323×C113C2semidirect
7. C113×#1439C2semidirect
11. #538×C113C4semidirect
114. C2×Q8×C113C22⋊C4semidirect
130. C2×D4×C113C22⋊C4semidirect
179. C4⋊C4×C113C22⋊C4semidirect
180. C4⋊C4×C113C22⋊C4semidirect
339. #8408C113direct (N × H)
354. #1874C2×C113semidirect
355. #1872C2×C113semidirect
356. C2×#328C2×C113semidirect
357. C2×#327C2×C113semidirect
358. C2×#323C2×C113semidirect
359. #1439C2×C113semidirect
360. C113#8408direct (N × H)
364. #538C4×C113semidirect
467. C2×Q8C22⋊C4×C113semidirect
483. C2×D4C22⋊C4×C113semidirect
532. C4⋊C4C22⋊C4×C113semidirect
533. C4⋊C4C22⋊C4×C113semidirect

Maximal subgroups

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

subgroupindex
C2×#538×C1132
C113×#18742
C113×#18722
C2×#328×C1132
C2×#327×C1132
C2×#323×C1132
C113×#14392
#8408113