Finite Group Databasebeta

← #27385366

Subgroups — #27385366

Order 13568.

1842 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811201C211yesmaximal, characteristic
2C2×#16810622C211yesmaximal, characteristic, complemented
3C2×#16810617C211yesmaximal, characteristic, complemented
4C2×#16810590C211yesmaximal, characteristic, complemented
5#20275037C212yesmaximal, complemented
6#20275032C212yesmaximal, complemented
7#20275027C212yesmaximal, complemented
8#20275022C212yesmaximal, complemented
9#20274436C211yesmaximal, characteristic, complemented
10C2×#16810385C211yesmaximal, characteristic, complemented
11C2×C53×#520C211yesmaximal, characteristic, complemented
12C22×#11719945C2211yescharacteristic
13C22×#11719917C2211yescharacteristic
14C23×#88322C2211yescharacteristic
15#16811201—24no—
16#16811201C418yescomplemented
17C2×#13133196C2212yes—
18C2×#13133193—21no—
19C2×#13133191C2212yes—
20C2×#13133189—22no—
21C2×#13133188—21no—
22C22×C4⋊Dic53C2211yescharacteristic
23#16810622—24no—
24#16810617—24no—
25C2×#13133140C2211yescharacteristic
26C2×#13133140C2211yescharacteristic
27C2×#13133140C2212yes—
28C2×#13133137C2211yescharacteristic
29C2×#13133137C2211yescharacteristic
30C2×#13133137C2212yes—
31#16810590—24no—
32C2×C22⋊#88322C2212yes—
33C2×C22⋊#88322C2212yes—
34#16810385C2212yes—
35#16810385C2212yes—
36#16810385C2212yes—
37#16810385C2212yes—
38C22×#41×C53C2211yescharacteristic
39C53×#520—24no—
40C53×#520—24no—
41C2×C4×Q8×C53—21no—
42C2×C4×D4×C53—21no—
43C2×C4×D4×C53—22no—
44C2×#117×C53C2212yes—
45C2×#117×C53C2211yescharacteristic
46C22×C4⋊C4×C53C2212yes—
47C22×C4⋊C4×C53C2211yescharacteristic
48C2×#11719945—22no—
49C2×#11719945—22no—
50C2×#11719945—22no—
51C2×#11719945—22no—
52C2×#11719945—22no—
53C2×#11719945C2×C414yescomplemented
54C22×Dic106C2311yescharacteristic
55C22×D212C2311yescharacteristic
56C22×C22⋊D53—21no—
57C22×C22⋊D53—22no—
58C23×Dic53—21no—
59C22×C4×D53—21no—
60C2×#11719917—22no—
61C2×#11719917—22no—
62C2×#11719917—22no—
63C22×#88322—22no—
64C22×#88322—22no—
65C22×#88322—22no—
66C22×#88322C2311yescharacteristic
67C22×#88322C2311yescharacteristic
68C22×#88322C2312yes—
69#13133196—24no—
70#13133196C2×C418yescomplemented
71#13133193—28no—
72#13133191—24no—
73#13133191C2×C418yescomplemented
74#13133189—216no—
75#13133188—28no—
76C2×C4⋊Dic53—21no—
77C2×C4⋊Dic53—22no—
78C2×C4⋊Dic53C2×C414yescomplemented
79C2×C4⋊Dic53C2312yes—
80C2×#11719919—22no—
81C2×C22⋊Dic53—22no—
82C2×#11719921—22no—
83#13133140—22no—
84#13133140—22no—
85#13133140—24no—
86#13133137—22no—
87#13133137—22no—
88#13133137—24no—
89C22⋊#88322—24no—
90C22⋊#88322—24no—
91C2×#41×C53—22no—
92C2×#41×C53—22no—
93C2×#41×C53—22no—
94C2×#41×C53—22no—
95C2×#41×C53C2×C414yes—
96C2×#41×C53D414yes—
97C22×Q8×C53D411yescharacteristic
98C22×D4×C53D411yescharacteristic
99C22×D4×C53D412yes—
100C23×C4×C53—22no—
101C23×C4×C53—21no—
102C23×C4×C53C2312yes—
103C23×C4×C53C2311yescharacteristic
104C4×Q8×C53—28no—
105C4×D4×C53—28no—
106C4×D4×C53—216no—
107#117×C53—24no—
108#117×C53—24no—
109#117×C53—22no—
110#117×C53D414yescomplemented
111C2×C4⋊C4×C53—24no—
112C2×C4⋊C4×C53—24no—
113C2×C4⋊C4×C53—22no—
114C2×C4⋊C4×C53—21no—
115C2×C4⋊C4×C53—22no—
116C2×C4⋊C4×C53D414yescomplemented
117C2×C4⋊C4×C53C2311yescharacteristic
118C2×C4⋊C4×C53C2312yes—
119C2×C4⋊C4×C53C2311yescharacteristic
120C2×C22⋊C4×C53—22no—
121C2×C22⋊C4×C53—21no—
122C2×C42×C53—22no—
123C2×C42×C53—21no—
124C24×C53C2×D412yes—
125C24×C53C2×D411yescharacteristic
126C23×D53—21no—
127#41×C53—28no—
128#41×C53—28no—
129#41×C53—28no—
130#41×C53—28no—
131C2×Q8×C53—22no—
132C2×Q8×C53—22no—
133C2×Q8×C53C22⋊C414yes—
134C2×D4×C53—24no—
135C2×D4×C53—24no—
136C2×D4×C53—22no—
137C2×D4×C53—22no—
138C2×D4×C53C22⋊C414yes—
139C2×D4×C53C22⋊C418yes—
140C22×C4×C53—22no—
141C22×C4×C53—22no—
142C22×C4×C53—22no—
143C22×C4×C53—22no—
144C22×C4×C53—21no—
145C22×C4×C53—21no—
146C22×C4×C53—22no—
147C22×C4×C53—28no—
148C22×C4×C53—24no—
149C22×C4×C53—81no—
150C22×C4×C53—82no—
151C22×C4×C53—81no—
152C22×C4×C53—82no—
153C22×C4×C53C22×C414yes—
154C22×C4×C53C22×C412yes—
155C22×C4×C53C2×D412yes—
156C22×C4×C53C2×D414yes—
157C22×C4×C53C2×D411yescharacteristic
158C22×C4×C53C2×D412yes—
159C22×C4×C53C2×D412yes—
160C22×C4×C53C2×D412yes—
161C22×C4×C53#4112yes—
162C22×C4×C53#4112yes—
163C22×C4×C53C2411yescharacteristic
164C2×C22⋊D53—24no—
165C2×C22⋊D53—28no—
166C2×C22⋊D53—42no—
167C2×C22⋊D53—42no—
168C2×C22⋊D53—82no—
169C2×C22⋊D53—82no—
170C22×Dic53—22no—
171C22×Dic53—21no—
172C22×Dic53—24no—
173C22×Dic53—81no—
174C22×Dic53—81no—
175#11719945—28no—
176#11719945—28no—
177#11719945—44no—
178#11719945—44no—
179C2×D212—21no—
180C2×D212—21no—
181C2×D212—21no—
182C2×D212—21no—
183C2×D212—21no—
184C2×D212C22×C412yes—
185C2×C4×D53—24no—
186C2×C4×D53—42no—
187C2×C4×D53—42no—
188C2×Dic106—21no—
189C2×Dic106—21no—
190C2×Dic106—21no—
191C2×Dic106—21no—
192C2×Dic106—21no—
193C2×Dic106C22×C412yes—
194C4⋊C4×C53—28no—
195C4⋊C4×C53—24no—
196C4⋊C4×C53—21no—
197C4⋊C4×C53—22no—
198C4⋊C4×C53—21no—
199C4⋊C4×C53C2×D412yes—
200C4⋊C4×C53C2×D414yes—
201C4⋊C4×C53C2×D412yes—
202C22⋊C4×C53—28no—
203C22⋊C4×C53—24no—
204C42×C53—28no—
205C42×C53—24no—
206C22⋊Dic53—28no—
207#11719921—28no—
208C4⋊Dic53—24no—
209C4⋊Dic53—22no—
210C4⋊Dic53C22×C414yes—
211#11719919—28no—
212#11719917—44no—
213C2×#88322—21no—
214C2×#88322—21no—
215C2×#88322—22no—
216C2×#88322—21no—
217C2×#88322—21no—
218C2×#88322—22no—
219C2×#88322—21no—
220C2×#88322—21no—
221C2×#88322—22no—
222C2×#88322—44no—
223C23×C53—21no—
224C23×C53—21no—
225C23×C53—21no—
226C23×C53—21no—
227C23×C53—22no—
228C23×C53—22no—
229C23×C53—22no—
230C23×C53—22no—
231C23×C53—22no—
232C23×C53—22no—
233C23×C53C2×C22⋊C414yes—
234C23×C53C2×C22⋊C412yes—
235C23×C53#12012yes—
236C23×C53#12312yes—
237C23×C53C22×D411yescharacteristic
238C22×D53—22no—
239C22×D53—41no—
240C22×D53—41no—
241C22×D53—41no—
242C22×D53—41no—
243C22×D53—41no—
244C22×D53—41no—
245Q8×C53—28no—
246D4×C53—216no—
247D4×C53—28no—
248C2×C4×C53—22no—
249C2×C4×C53—22no—
250C2×C4×C53—24no—
251C2×C4×C53—24no—
252C2×C4×C53—24no—
253C2×C4×C53—24no—
254C2×C4×C53—22no—
255C2×C4×C53—24no—
256C2×C4×C53—22no—
257C2×C4×C53—42no—
258C2×C4×C53—41no—
259C2×C4×C53—41no—
260C2×C4×C53—42no—
261C2×C4×C53—41no—
262C2×C4×C53—41no—
263C2×C4×C53—84no—
264C2×C4×C53—88no—
265C2×C4×C53C2×C22⋊C414yes—
266C2×C4×C53C2×C22⋊C412yes—
267C2×C4×C53C4×D414yes—
268C2×C4×C53C4×D414yes—
269C2×C4×C53#12012yes—
270C2×C4×C53#12114yes—
271C2×C4×C53#12114yes—
272C2×C4×C53#12312yes—
273C2×C4×C53C23×C411yescharacteristic
274C2×C4×C53C22×D411yescharacteristic
275C2×C4×C53C22×D411yescharacteristic
276C2×C4×C53C22×D411yescharacteristic
277C2×C4×C53C2×#4111yescharacteristic
278C2×C4×C53C2×#4111yescharacteristic
279C22⋊D53—48no—
280C22⋊D53—88no—
281C2×Dic53—22no—
282C2×Dic53—24no—
283C2×Dic53—41no—
284C2×Dic53—41no—
285C2×Dic53—42no—
286C2×Dic53—42no—
287C2×Dic53—84no—
288D212—22no—
289D212—22no—
290D212—41no—
291D212—41no—
292C4×D53—48no—
293Dic106—22no—
294Dic106—22no—
295Dic106—41no—
296Dic106—41no—
297#88322—41no—
298#88322—41no—
299#88322—42no—
300#20915—531nomaximal, Sylow
301C22×C53—22no—
302C22×C53—22no—
303C22×C53—22no—
304C22×C53—22no—
305C22×C53—22no—
306C22×C53—22no—
307C22×C53—24no—
308C22×C53—24no—
309C22×C53—24no—
310C22×C53—42no—
311C22×C53—42no—
312C22×C53—42no—
313C22×C53—42no—
314C22×C53#38614yes—
315C22×C53C22×C22⋊C411yescharacteristic
316C22×C53C2×#12011yescharacteristic
317C22×C53C2×#12311yescharacteristic
318C22×C53#57611yescharacteristic
319C22×C53#57711yescharacteristic
320C22×C53#57711yescharacteristic
321C22×C53#57811yescharacteristic
322C2×D53—42no—
323C2×D53—42no—
324C2×D53—42no—
325C2×D53—81no—
326C2×D53—81no—
327C2×D53—81no—
328C2×D53—81no—
329C4×C53—24no—
330C4×C53—44no—
331C4×C53—42no—
332C4×C53—42no—
333C4×C53#38614yes—
334C4×C53C2×C4×D411yescharacteristic
335C4×C53C2×C4×D411yescharacteristic
336C4×C53C2×#12111yescharacteristic
337C4×C53C2×#12111yescharacteristic
338Dic53—44no—
339Dic53—42no—
340C2×#537—531no—
341C2×#520D5311yescharacteristic, complemented
342C2×#417—531no—
343C2×#416—531no—
344C2×#408—531no—
345#1875—532no—
346#1874—532no—
347#1873—532no—
348#1872—532no—
349#1736—531no—
350C2×#340—531no—
351C2×C53—24no—
352C2×C53—44no—
353C2×C53C2×#38611yescharacteristic
354C2×C53#289711yescharacteristic
355C2×C53#289811yescharacteristic
356C2×C53#301211yescharacteristic
357C2×C53#301311yescharacteristic
358C2×C53#309811yescharacteristic
359C2×C53#309911yescharacteristic
360D53—82no—
361C22×#41—531no—
362C22×#41C2×D5311yescharacteristic
363C22×M16—531no—
364C23×C8—531no—
365#537—538no—
366#537—1064no—
367C2×C22⋊Q8—532no—
368C2×C22⋊Q8—1061no—
369C2×#121—532no—
370C2×#121—1061no—
371C2×#121—1062no—
372#520—24no—
373#520—24no—
374C2×C4×Q8—21no—
375C2×C4×D4—22no—
376C2×C4×D4—21no—
377C2×#117C2×D5312yes—
378C2×#117C2×D5311yescharacteristic
379C22×C4⋊C4—531no—
380C22×C4⋊C4C2×D5312yes—
381C22×C4⋊C4C2×D5311yescharacteristic
382#417—1064no—
383#416—1064no—
384C2×#103—531no—
385C2×#103—531no—
386C2×#103—532no—
387C2×#102—531no—
388C2×#102—531no—
389C2×#102—532no—
390#408—1064no—
391C2×C22⋊C8—532no—
392C2×C22⋊C8—532no—
393#340—532no—
394#340—532no—
395#340—532no—
396#340—532no—
397C53#2091511yescharacteristic, complemented, Sylow
398C2×#41—22no—
399C2×#41—22no—
400C2×#41—22no—
401C2×#41—22no—
402C2×#41—534no—
403C2×#41—1062no—
404C2×#41—1062no—
405C2×#41—1062no—
406C2×#41—1062no—
407C2×#41—1062no—
408C2×#41C4×D5314yes—
409C2×#41D21214yes—
410C22×Q8—531no—
411C22×Q8C22⋊D5311yescharacteristic
412C22×D4—531no—
413C22×D4—1062no—
414C22×D4—1061no—
415C22×D4C22⋊D5312yes—
416C22×D4C22⋊D5311yescharacteristic
417C23×C4—22no—
418C23×C4—21no—
419C23×C4—1061no—
420C23×C4—1061no—
421C23×C4C22×D5312yes—
422C23×C4C22×D5311yescharacteristic
423C2×M16—1062no—
424C2×M16—1062no—
425C2×M16—1062no—
426C22×C8—531no—
427C22×C8—531no—
428C22×C8—532no—
429C22×C8—1062no—
430C22×C8—1062no—
431C22×C8—1062no—
432C22⋊Q8—538no—
433C22⋊Q8—1068no—
434C22⋊Q8—1064no—
435#121—538no—
436#121—1068no—
437#121—10616no—
438#121—1064no—
439C4×Q8—28no—
440C4×D4—216no—
441C4×D4—28no—
442#117—22no—
443#117—24no—
444#117—24no—
445#117C22⋊D5314yescomplemented
446C2×C4⋊C4—22no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—22no—
449C2×C4⋊C4—24no—
450C2×C4⋊C4—24no—
451C2×C4⋊C4—534no—
452C2×C4⋊C4—532no—
453C2×C4⋊C4—1062no—
454C2×C4⋊C4—1061no—
455C2×C4⋊C4—1062no—
456C2×C4⋊C4C22⋊D5314yescomplemented
457C2×C4⋊C4C22×D5311yescharacteristic
458C2×C4⋊C4C22×D5312yes—
459C2×C4⋊C4C22×D5311yescharacteristic
460C2×C22⋊C4—22no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—1062no—
463C2×C22⋊C4—1062no—
464C2×C42—22no—
465C2×C42—21no—
466#103—1062no—
467#103—1062no—
468#103—1064no—
469#102—1062no—
470#102—1062no—
471#102—1064no—
472C22⋊C8—1064no—
473C22⋊C8—1064no—
474C24—1061no—
475C24C2×C22⋊D5312yes—
476C24C2×C22⋊D5311yescharacteristic
477#41—28no—
478#41—28no—
479#41—28no—
480#41—28no—
481#41—1068no—
482#41—1068no—
483#41—2124no—
484#41—2124no—
485C2×Q8—22no—
486C2×Q8—22no—
487C2×Q8—532no—
488C2×Q8—1061no—
489C2×Q8—1061no—
490C2×Q8—1061no—
491C2×Q8—1061no—
492C2×Q8—1061no—
493C2×Q8#1171992114yes—
494C2×D4—24no—
495C2×D4—24no—
496C2×D4—22no—
497C2×D4—22no—
498C2×D4—532no—
499C2×D4—1068no—
500C2×D4—1064no—
501C2×D4—1061no—
502C2×D4—1061no—
503C2×D4—1061no—
504C2×D4—1061no—
505C2×D4—1061no—
506C2×D4—4242no—
507C2×D4—4242no—
508C2×D4—2122no—
509C2×D4—2122no—
510C2×D4#1171992118yes—
511C2×D4#1171992114yes—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—21no—
517C22×C4—22no—
518C22×C4—21no—
519C22×C4—28no—
520C22×C4—24no—
521C22×C4—81no—
522C22×C4—82no—
523C22×C4—81no—
524C22×C4—82no—
525C22×C4—1064no—
526C22×C4—1062no—
527C22×C4—1061no—
528C22×C4—1064no—
529C22×C4—4241no—
530C22×C4—4241no—
531C22×C4—2122no—
532C22×C4—2122no—
533C22×C4C2×C4×D5314yes—
534C22×C4C2×C4×D5312yes—
535C22×C4C2×D21214yes—
536C22×C4C2×D21212yes—
537C22×C4#1171994512yes—
538C22×C4#1171994512yes—
539C22×C4C2×C22⋊D5312yes—
540C22×C4C2×C22⋊D5311yescharacteristic
541C22×C4C2×C22⋊D5312yes—
542C22×C4C2×C22⋊D5312yes—
543C22×C4C23×D5311yescharacteristic
544M16—2124no—
545C2×C8—1061no—
546C2×C8—1061no—
547C2×C8—1062no—
548C2×C8—1061no—
549C2×C8—1061no—
550C2×C8—1062no—
551C2×C8—1061no—
552C2×C8—1061no—
553C2×C8—1062no—
554C2×C8—2124no—
555C4⋊C4—28no—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—534no—
561C4⋊C4—1064no—
562C4⋊C4—1068no—
563C4⋊C4—1062no—
564C4⋊C4C2×C22⋊D5312yes—
565C4⋊C4C2×C22⋊D5314yes—
566C4⋊C4C2×C22⋊D5312yes—
567C22⋊C4—28no—
568C22⋊C4—24no—
569C22⋊C4—1068no—
570C22⋊C4—1068no—
571C42—28no—
572C42—24no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—22no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—1062no—
584C23—2121no—
585C23—2121no—
586C23—2121no—
587C23—2121no—
588C23—2121no—
589C23—2121no—
590C23C2×#1171992114yes—
591C23C2×#1171992112yes—
592C23#1313318612yes—
593C23#1313320012yes—
594C23C22×C22⋊D5311yescharacteristic
595Q8—28no—
596Q8—1062no—
597Q8—1062no—
598Q8—2121no—
599Q8—2121no—
600D4—216no—
601D4—28no—
602D4—1062no—
603D4—1062no—
604D4—4248no—
605D4—2128no—
606D4—2121no—
607D4—2121no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—24no—
611C2×C4—24no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—42no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—42no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—84no—
624C2×C4—88no—
625C2×C4—1064no—
626C2×C4—1062no—
627C2×C4—4244no—
628C2×C4—2121no—
629C2×C4—2121no—
630C2×C4—2122no—
631C2×C4—2122no—
632C2×C4—2128no—
633C2×C4C2×#1171992114yes—
634C2×C4C2×#1171992112yes—
635C2×C4C4×C22⋊D5314yes—
636C2×C4C4×C22⋊D5314yes—
637C2×C4#1313318612yes—
638C2×C4#1313319114yes—
639C2×C4#1313319114yes—
640C2×C4#1313320012yes—
641C2×C4C22×C4×D5311yescharacteristic
642C2×C4C22×C22⋊D5311yescharacteristic
643C2×C4C22×C22⋊D5311yescharacteristic
644C2×C4C22×D21211yescharacteristic
645C2×C4C2×#1171994511yescharacteristic
646C2×C4C2×#1171994511yescharacteristic
647C8—2121no—
648C8—2121no—
649C8—2122no—
650C22—22no—
651C22—22no—
652C22—22no—
653C22—22no—
654C22—22no—
655C22—22no—
656C22—24no—
657C22—24no—
658C22—24no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—42no—
663C22—4241no—
664C22—4241no—
665C22—4241no—
666C22—4241no—
667C22—2122no—
668C22—2122no—
669C22—2122no—
670C22#1681050214yes—
671C22C22×#1171992111yescharacteristic
672C22C2×#1313318611yescharacteristic
673C22C2×#1313320011yescharacteristic
674C22#1681142611yescharacteristic
675C22#1681143111yescharacteristic
676C22#1681143411yescharacteristic
677C22#1681143811yescharacteristic
678C4—24no—
679C4—44no—
680C4—42no—
681C4—42no—
682C4—2124no—
683C4—2122no—
684C4#1681050214yes—
685C4C2×C4×C22⋊D5311yescharacteristic
686C4C2×C4×C22⋊D5311yescharacteristic
687C4C2×#1313319111yescharacteristic
688C4C2×#1313319111yescharacteristic
689C2—24no—
690C2—44no—
691C2—4242no—
692C2C2×#1681050211yescharacteristic
693C2#2028323811yescharacteristic
694C2#2028324511yescharacteristic
695C2#2028401911yescharacteristic
696C2#2028403011yescharacteristic
697C2#2028469311yescharacteristic
698C2#2028470411yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC2×C53×#520C2
socleC23×C53C22×D4
prime radicalC2×#16811201C2
cosocleC22×C4×C53C24
hypercenterC2×#520D53
hypocenterC53#20915
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C22×#41 ◁ C2×#520

Complements

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

NH ≅ G/Ntype
2. C2×#16810622C2semidirect
3. C2×#16810617C2semidirect
4. C2×#16810590C2semidirect
5. #20275037C2semidirect
6. #20275032C2semidirect
7. #20275027C2semidirect
8. #20275022C2semidirect
9. #20274436C2semidirect
10. C2×#16810385C2semidirect
11. C2×C53×#520C2semidirect
16. #16811201C4semidirect
53. C2×#11719945C2×C4semidirect
70. #13133196C2×C4semidirect
73. #13133191C2×C4semidirect
78. C2×C4⋊Dic53C2×C4semidirect
110. #117×C53D4semidirect
116. C2×C4⋊C4×C53D4semidirect
341. C2×#520D53semidirect
397. C53#20915semidirect
445. #117C22⋊D53semidirect
456. C2×C4⋊C4C22⋊D53semidirect

Maximal subgroups

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

subgroupindex
C2×#168112012
C2×#168106222
C2×#168106172
C2×#168105902
#202750372
#202750322
#202750272
#202750222
#202744362
C2×#168103852
C2×C53×#5202
#2091553