Finite Group Databasebeta

← #27395249

Subgroups — #27395249

Order 13568.

1012 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810787C211yesmaximal, characteristic
2C4×#13133196C211yesmaximal, characteristic, complemented
3#20277205C211yesmaximal, characteristic
4#20275576C211yesmaximal, characteristic, complemented
5#20275569C211yesmaximal, characteristic, complemented
6#20275398C211yesmaximal, characteristic, complemented
7#20275391C211yesmaximal, characteristic, complemented
8#20275350C211yesmaximal, characteristic, complemented
9#20275336C211yesmaximal, characteristic, complemented
10#20275069C211yesmaximal, characteristic, complemented
11#20275055C211yesmaximal, characteristic, complemented
12#20275025C211yesmaximal, characteristic, complemented
13#20274916C211yesmaximal, characteristic, complemented
14#20274656C211yesmaximal, characteristic
15C4×C22⋊C8×C53C211yesmaximal, characteristic, complemented
16C22×#11719945C2211yescharacteristic
17C22×Dic212C2211yescharacteristic
18C22×#11719913C2211yescharacteristic
19C2×#13133196C2211yescharacteristic
20C2×C4×Dic106C2211yescharacteristic
21C2×#13133176C2211yescharacteristic
22#16810787C418yescomplemented
23C2×#13133151C2211yescharacteristic
24C2×#13133149C2211yescharacteristic
25C2×#13133142C2211yescharacteristic
26C2×#13133142C2211yescharacteristic
27C2×#13133142C2211yescharacteristic
28C2×#13133142C2211yescharacteristic
29C2×#13133142C2211yescharacteristic
30C2×#13133139C2211yescharacteristic
31C2×#13133139C2211yescharacteristic
32C2×#13133139C2211yescharacteristic
33#16810529C2211yescharacteristic
34#16810529C2211yescharacteristic
35#16810529C2211yescharacteristic
36#16810525C2211yescharacteristic
37#16810525C2211yescharacteristic
38#16810521C2211yescharacteristic
39#16810507—21no—
40#16810502—21no—
41#16810502—21no—
42#16810496—21no—
43#16810483C2211yescharacteristic
44C4×#11719919—21no—
45C4×C4⋊Dic53C2211yescharacteristic
46C4×#11719921—21no—
47C4×#11719921—21no—
48C4×C22⋊Dic53—21no—
49#16810386C2211yescharacteristic
50#16810386C2211yescharacteristic
51#16810386C2211yescharacteristic
52#16810386C2211yescharacteristic
53C22×C42×C53C2211yescharacteristic
54C2×C22⋊C8×C53C2211yescharacteristic
55C2×C22⋊C8×C53C2211yescharacteristic
56C2×C4×C8×C53C2211yescharacteristic
57C2×C4×C8×C53C2211yescharacteristic
58C53×#336C2211yescharacteristic
59C53×#336C2211yescharacteristic
60C2×#11719945—22no—
61C2×#11719945—41no—
62C2×#11719945—41no—
63C2×#11719945—41no—
64C2×#11719945—41no—
65C2×#11719945C2×C414yes—
66C22×Dic106C2311yescharacteristic
67C22×Dic106C2311yescharacteristic
68C22×D212C2311yescharacteristic
69C22×C22⋊D53—21no—
70C22×C4×D53—21no—
71C2×Dic212—41no—
72C2×Dic212—41no—
73C2×Dic212C2×C414yescomplemented
74C2×#11719913—41no—
75C2×#11719913—41no—
76C2×#11719913C2×C414yescomplemented
77#13133196—22no—
78#13133196C2×C414yes—
79C4×Dic106—41no—
80C4×Dic106—41no—
81#13133176—41no—
82#13133176—41no—
83C2×C4⋊Dic53C2311yescharacteristic
84C2×C4⋊Dic53C2311yescharacteristic
85C2×C4⋊Dic53C2311yescharacteristic
86C2×C4⋊Dic53C2311yescharacteristic
87C2×C4⋊Dic53C2311yescharacteristic
88C2×#11719919—21no—
89C2×#11719919—21no—
90C2×#11719919—21no—
91C2×C22⋊Dic53—21no—
92C2×C22⋊Dic53—21no—
93C2×C22⋊Dic53—21no—
94C2×#11719921—21no—
95C2×#11719921—21no—
96C2×#11719921—21no—
97C2×#11719921—21no—
98C2×C4×Dic53—21no—
99C2×C4×Dic53—21no—
100C2×C4×Dic53—21no—
101#13133151—41no—
102#13133149—41no—
103#13133142—41no—
104#13133142—41no—
105#13133142—41no—
106#13133142—41no—
107#13133142C2×C414yescomplemented
108#13133139—41no—
109#13133139—41no—
110#13133139C2×C414yescomplemented
111#13133124—21no—
112#13133124—21no—
113#13133124—21no—
114#13133124—21no—
115#13133124—21no—
116#13133124—21no—
117#13133124—21no—
118#13133124—21no—
119#13133124—21no—
120C23×C4×C53D411yescharacteristic
121C23×C4×C53D411yescharacteristic
122C23×C4×C53C2311yescharacteristic
123C22×C8×C53C2311yescharacteristic
124C22×C8×C53C2311yescharacteristic
125C22×C8×C53C2311yescharacteristic
126C22×C8×C53C2311yescharacteristic
127C2×C42×C53—41no—
128C2×C42×C53—41no—
129C2×C42×C53D411yescharacteristic
130C2×C42×C53D411yescharacteristic
131C2×C42×C53C2311yescharacteristic
132C2×C42×C53C2311yescharacteristic
133C22⋊C8×C53—22no—
134C22⋊C8×C53C2×C414yes—
135C4×C8×C53—41no—
136C4×C8×C53—41no—
137C24×C53C2×D411yescharacteristic
138C23×D53—21no—
139C22×C4×C53—21no—
140C22×C4×C53—21no—
141C22×C4×C53—21no—
142C22×C4×C53—21no—
143C22×C4×C53—22no—
144C22×C4×C53—22no—
145C22×C4×C53—22no—
146C22×C4×C53—41no—
147C22×C4×C53—41no—
148C22×C4×C53—41no—
149C22×C4×C53C22×C412yes—
150C22×C4×C53C2×D411yescharacteristic
151C22×C4×C53C2×D411yescharacteristic
152C22×C4×C53C2×D411yescharacteristic
153C22×C4×C53C2×D411yescharacteristic
154C22×C4×C53C2×D411yescharacteristic
155C22×C4×C53#4112yes—
156C22×C4×C53C2411yescharacteristic
157C2×C22⋊D53—24no—
158C2×C22⋊D53—42no—
159C2×C22⋊D53—42no—
160C22×Dic53—21no—
161C22×Dic53—21no—
162C22×Dic53—21no—
163C22×Dic53—21no—
164C22×Dic53—21no—
165C22×Dic53—21no—
166C22×Dic53—21no—
167#11719945—44no—
168#11719945—44no—
169#11719945—44no—
170#11719945—44no—
171C2×D212—21no—
172C2×D212—21no—
173C2×D212—21no—
174C2×D212—21no—
175C2×D212—21no—
176C2×D212C22×C412yes—
177C2×C4×D53—24no—
178C2×C4×D53—42no—
179C2×C4×D53—42no—
180C2×Dic106—21no—
181C2×Dic106—21no—
182C2×Dic106—21no—
183C2×Dic106—21no—
184C2×Dic106—21no—
185C2×Dic106—21no—
186C2×Dic106—21no—
187C2×Dic106—21no—
188C2×Dic106—21no—
189C2×Dic106—21no—
190C2×Dic106C22×C412yes—
191C2×Dic106C22×C412yes—
192C2×C8×C53—21no—
193C2×C8×C53—21no—
194C2×C8×C53—21no—
195C2×C8×C53—21no—
196C2×C8×C53—21no—
197C2×C8×C53—21no—
198C2×C8×C53—21no—
199C2×C8×C53—21no—
200C2×C8×C53—21no—
201C2×C8×C53—21no—
202C2×C8×C53C22×C412yes—
203C2×C8×C53C22×C412yes—
204C42×C53—21no—
205C42×C53—21no—
206C42×C53—21no—
207C42×C53—21no—
208C42×C53—41no—
209C42×C53—41no—
210C22⋊Dic53—24no—
211C22⋊Dic53—42no—
212C22⋊Dic53—42no—
213#11719921—42no—
214#11719921—42no—
215#11719921—42no—
216#11719921—42no—
217C4⋊Dic53—21no—
218C4⋊Dic53—21no—
219C4⋊Dic53—21no—
220C4⋊Dic53—21no—
221C4⋊Dic53—21no—
222C4⋊Dic53—21no—
223C4⋊Dic53—21no—
224C4⋊Dic53—21no—
225C4⋊Dic53—21no—
226C4⋊Dic53C22×C412yes—
227#11719919—24no—
228#11719919—42no—
229#11719919—42no—
230C4×Dic53—42no—
231C4×Dic53—42no—
232C4×Dic53—42no—
233Dic212—44no—
234#11719913—44no—
235C23×C53—21no—
236C23×C53—21no—
237C23×C53—21no—
238C23×C53—21no—
239C23×C53—21no—
240C23×C53—21no—
241C23×C53C4×D412yes—
242C23×C53C22×D411yescharacteristic
243C22×D53—22no—
244C22×D53—41no—
245C22×D53—41no—
246C22×D53—41no—
247C22×D53—41no—
248C22×D53—41no—
249C22×D53—41no—
250C2×C4×C53—21no—
251C2×C4×C53—21no—
252C2×C4×C53—21no—
253C2×C4×C53—21no—
254C2×C4×C53—21no—
255C2×C4×C53—21no—
256C2×C4×C53—21no—
257C2×C4×C53—21no—
258C2×C4×C53—22no—
259C2×C4×C53—22no—
260C2×C4×C53—22no—
261C2×C4×C53—22no—
262C2×C4×C53—21no—
263C2×C4×C53—21no—
264C2×C4×C53—21no—
265C2×C4×C53—44no—
266C2×C4×C53—44no—
267C2×C4×C53C4×D412yes—
268C2×C4×C53#13512yes—
269C2×C4×C53#13512yes—
270C2×C4×C53#13712yes—
271C2×C4×C53C23×C411yescharacteristic
272C2×C4×C53C2×#4111yescharacteristic
273C2×C4×C53H(5,𝔽2)11yescharacteristic
274C2×C4×C53H(5,𝔽2)11yescharacteristic
275C2×C4×C53H(5,𝔽2)11yescharacteristic
276C2×C4×C53H(5,𝔽2)11yescharacteristic
277C22⋊D53—48no—
278C2×Dic53—22no—
279C2×Dic53—22no—
280C2×Dic53—22no—
281C2×Dic53—41no—
282C2×Dic53—41no—
283C2×Dic53—41no—
284C2×Dic53—41no—
285C2×Dic53—41no—
286C2×Dic53—41no—
287C2×Dic53—41no—
288C2×Dic53—41no—
289C2×Dic53—41no—
290C2×Dic53—41no—
291C2×Dic53—41no—
292C2×Dic53—41no—
293C2×Dic53—41no—
294C2×Dic53—41no—
295C2×Dic53—41no—
296C2×Dic53—41no—
297C2×Dic53—41no—
298C2×Dic53—41no—
299D212—22no—
300D212—22no—
301D212—41no—
302D212—41no—
303C4×D53—48no—
304Dic106—22no—
305Dic106—22no—
306Dic106—22no—
307Dic106—22no—
308Dic106—41no—
309Dic106—41no—
310Dic106—41no—
311Dic106—41no—
312C8×C53—22no—
313C8×C53—22no—
314C8×C53—41no—
315C8×C53—41no—
316#22042—531nomaximal, Sylow
317C22×C53—22no—
318C22×C53—22no—
319C22×C53—22no—
320C22×C53—41no—
321C22×C53—41no—
322C22×C53—41no—
323C22×C53—41no—
324C22×C53C2×C4×D411yescharacteristic
325C22×C53#53411yescharacteristic
326C22×C53#53511yescharacteristic
327C22×C53C2×#13511yescharacteristic
328C22×C53C2×#13511yescharacteristic
329C22×C53C2×#13711yescharacteristic
330C22×C53#57511yescharacteristic
331C2×D53—42no—
332C2×D53—42no—
333C2×D53—42no—
334C2×D53—81no—
335C2×D53—81no—
336C2×D53—81no—
337C2×D53—81no—
338C4×C53—22no—
339C4×C53—22no—
340C4×C53—22no—
341C4×C53—22no—
342C4×C53—41no—
343C4×C53#51811yescharacteristic
344C4×C53#51811yescharacteristic
345C4×C53#53811yescharacteristic
346C4×C53#53811yescharacteristic
347Dic53—42no—
348Dic53—42no—
349Dic53—42no—
350Dic53—81no—
351Dic53—81no—
352Dic53—81no—
353Dic53—81no—
354C2×#452—531no—
355C4×C22⋊Q8—531no—
356#2297—531no—
357#1969—531no—
358#1968—531no—
359#1934—531no—
360#1933—531no—
361#1927—531no—
362#1925—531no—
363#1880—531no—
364#1878—531no—
365#1873—531no—
366#1854—531no—
367#1788—531no—
368C4×C22⋊C8D5311yescharacteristic, complemented
369C2×C53—42no—
370C2×C53#232111yescharacteristic
371C2×C53C4×#13511yescharacteristic
372C2×C53C4×#13711yescharacteristic
373C2×C53#319011yescharacteristic
374C2×C53#319111yescharacteristic
375C2×C53#321011yescharacteristic
376C2×C53#321211yescharacteristic
377D53—82no—
378C22×#41—531no—
379C22×Q16—531no—
380C22×SD16—531no—
381C2×C22⋊Q8—531no—
382C2×C4×Q8—531no—
383C2×#117—531no—
384C22×C42C2×D5311yescharacteristic
385#452—538no—
386C2×#107—531no—
387C2×#106—531no—
388C2×#103—531no—
389C2×#103—531no—
390C2×#103—531no—
391C2×#103—531no—
392C2×#103—531no—
393C2×#102—531no—
394C2×#102—531no—
395C2×#102—531no—
396C2×C22⋊C8C2×D5311yescharacteristic
397C2×C22⋊C8C2×D5311yescharacteristic
398C2×C4×C8C2×D5311yescharacteristic
399C2×C4×C8C2×D5311yescharacteristic
400#391—531no—
401#391—531no—
402#391—531no—
403#390—531no—
404#390—531no—
405#389—531no—
406#387—1061no—
407#386—1061no—
408#386—1061no—
409#385—1061no—
410#380—531no—
411C4×C4⋊C4—531no—
412C4×C4⋊C4—1061no—
413C4×C22⋊C4—1061no—
414C4×C22⋊C4—1061no—
415C4×C22⋊C4—1061no—
416#340—531no—
417#340—531no—
418#340—531no—
419#340—531no—
420#336C2×D5311yescharacteristic
421#336C2×D5311yescharacteristic
422C53#2204211yescharacteristic, complemented, Sylow
423C2×#41—534no—
424C2×#41—1062no—
425C2×#41—2121no—
426C2×#41—2121no—
427C2×#41—2121no—
428C2×#41—2121no—
429C22×Q8—531no—
430C22×Q8—531no—
431C22×D4—531no—
432C22×D4—1061no—
433C23×C4—1061no—
434C23×C4D21211yescharacteristic
435C23×C4D21211yescharacteristic
436C23×C4C22×D5311yescharacteristic
437C2×Q16—534no—
438C2×Q16—2121no—
439C2×Q16—2121no—
440C2×SD16—534no—
441C2×SD16—2121no—
442C2×SD16—2121no—
443C22×C8C22×D5311yescharacteristic
444C22×C8C22×D5311yescharacteristic
445C22×C8C22×D5311yescharacteristic
446C22×C8C22×D5311yescharacteristic
447C22⋊Q8—534no—
448C22⋊Q8—1062no—
449C4×Q8—2121no—
450C4×Q8—2121no—
451#117—2121no—
452#117—2121no—
453C2×C4⋊C4—531no—
454C2×C4⋊C4—531no—
455C2×C4⋊C4—531no—
456C2×C4⋊C4—531no—
457C2×C4⋊C4—531no—
458C2×C4⋊C4—1061no—
459C2×C4⋊C4—1061no—
460C2×C4⋊C4—1061no—
461C2×C22⋊C4—1061no—
462C2×C22⋊C4—1061no—
463C2×C22⋊C4—1061no—
464C2×C22⋊C4—1061no—
465C2×C22⋊C4—1061no—
466C2×C22⋊C4—1061no—
467C2×C22⋊C4—1061no—
468C2×C42—41no—
469C2×C42—41no—
470C2×C42—1061no—
471C2×C42—1061no—
472C2×C42—1061no—
473C2×C42D21211yescharacteristic
474C2×C42D21211yescharacteristic
475C2×C42C22×D5311yescharacteristic
476C2×C42C22×D5311yescharacteristic
477#107—2121no—
478#106—2121no—
479#103—534no—
480#103—2121no—
481#103—2121no—
482#103—2121no—
483#103—2121no—
484#102—534no—
485#102—2121no—
486#102—2121no—
487C22⋊C8—22no—
488C22⋊C8C4×D5314yes—
489C4×C8—41no—
490C4×C8—41no—
491#95—1061no—
492#95—1061no—
493#95—1061no—
494#95—1061no—
495#95—1061no—
496#95—1061no—
497#95—1061no—
498#95—1061no—
499#95—1061no—
500C24—1061no—
501C24C2×D21211yescharacteristic
502#41—2124no—
503#41—2124no—
504#41—2124no—
505#41—2124no—
506C2×Q8—532no—
507C2×Q8—532no—
508C2×Q8—1061no—
509C2×Q8—1061no—
510C2×Q8—1061no—
511C2×Q8—1061no—
512C2×Q8—1061no—
513C2×Q8—1061no—
514C2×Q8—1061no—
515C2×Q8—1061no—
516C2×Q8—1061no—
517C2×Q8—1061no—
518C2×D4—532no—
519C2×D4—1064no—
520C2×D4—1061no—
521C2×D4—1061no—
522C2×D4—1061no—
523C2×D4—1061no—
524C2×D4—1061no—
525C2×D4—2122no—
526C2×D4—2122no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—41no—
535C22×C4—41no—
536C22×C4—41no—
537C22×C4—1061no—
538C22×C4—1061no—
539C22×C4—1061no—
540C22×C4—1064no—
541C22×C4—1061no—
542C22×C4—1061no—
543C22×C4—1061no—
544C22×C4—1061no—
545C22×C4—2122no—
546C22×C4—2122no—
547C22×C4C2×C4×D5312yes—
548C22×C4C2×D21211yescharacteristic
549C22×C4C2×D21211yescharacteristic
550C22×C4C2×D21211yescharacteristic
551C22×C4C2×D21211yescharacteristic
552C22×C4C2×D21211yescharacteristic
553C22×C4#1171994512yes—
554C22×C4C23×D5311yescharacteristic
555Q16—2124no—
556SD16—2124no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8C2×C4×D5312yes—
568C2×C8C2×C4×D5312yes—
569C4⋊C4—532no—
570C4⋊C4—1064no—
571C4⋊C4—1061no—
572C4⋊C4—1061no—
573C4⋊C4—1061no—
574C4⋊C4—1061no—
575C4⋊C4—1061no—
576C4⋊C4—1061no—
577C4⋊C4—1061no—
578C4⋊C4—1061no—
579C4⋊C4—1061no—
580C4⋊C4—2122no—
581C4⋊C4—2122no—
582C22⋊C4—1064no—
583C22⋊C4—2122no—
584C22⋊C4—2122no—
585C22⋊C4—2122no—
586C22⋊C4—2122no—
587C22⋊C4—2122no—
588C22⋊C4—2122no—
589C42—21no—
590C42—21no—
591C42—21no—
592C42—21no—
593C42—41no—
594C42—41no—
595C42—2122no—
596C42—2122no—
597C42—2122no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—1062no—
605C23—2121no—
606C23—2121no—
607C23—2121no—
608C23—2121no—
609C23—2121no—
610C23—2121no—
611C23C4×D21212yes—
612C23C22×D21211yescharacteristic
613Q8—1062no—
614Q8—1062no—
615Q8—1062no—
616Q8—1062no—
617Q8—2121no—
618Q8—2121no—
619Q8—2121no—
620Q8—2121no—
621D4—1062no—
622D4—1062no—
623D4—2128no—
624D4—2121no—
625D4—2121no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—44no—
642C2×C4—44no—
643C2×C4—1062no—
644C2×C4—1062no—
645C2×C4—1062no—
646C2×C4—2128no—
647C2×C4—2121no—
648C2×C4—2121no—
649C2×C4—2121no—
650C2×C4—2121no—
651C2×C4—2121no—
652C2×C4—2121no—
653C2×C4—2121no—
654C2×C4—2121no—
655C2×C4—2121no—
656C2×C4—2121no—
657C2×C4—2121no—
658C2×C4—2121no—
659C2×C4—2121no—
660C2×C4—2121no—
661C2×C4—2121no—
662C2×C4—2121no—
663C2×C4—2121no—
664C2×C4—2121no—
665C2×C4C4×D21212yes—
666C2×C4#1313323912yes—
667C2×C4#1313323912yes—
668C2×C4#1313325012yes—
669C2×C4C22×C4×D5311yescharacteristic
670C2×C4C2×#1171994511yescharacteristic
671C2×C4#1313326211yescharacteristic
672C2×C4#1313326211yescharacteristic
673C2×C4#1313326311yescharacteristic
674C2×C4#1313326311yescharacteristic
675C8—22no—
676C8—22no—
677C8—41no—
678C8—41no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—4241no—
687C22—4241no—
688C22—4241no—
689C22—4241no—
690C22—2122no—
691C22—2122no—
692C22—2122no—
693C22C2×C4×D21211yescharacteristic
694C22#1681118511yescharacteristic
695C22#1681119211yescharacteristic
696C22C2×#1313323911yescharacteristic
697C22C2×#1313323911yescharacteristic
698C22C2×#1313325011yescharacteristic
699C22#1681142311yescharacteristic
700C4—22no—
701C4—22no—
702C4—22no—
703C4—22no—
704C4—41no—
705C4—4241no—
706C4—4241no—
707C4—4241no—
708C4—4241no—
709C4—2122no—
710C4—2122no—
711C4—2122no—
712C4#1681109511yescharacteristic
713C4#1681109511yescharacteristic
714C4#1681120611yescharacteristic
715C4#1681120611yescharacteristic
716C2—42no—
717C2—4242no—
718C2#2027737511yescharacteristic
719C2C4×#1313323911yescharacteristic
720C2C4×#1313325011yescharacteristic
721C2#2028549811yescharacteristic
722C2#2028550811yescharacteristic
723C2#2028567311yescharacteristic
724C2#2028569311yescharacteristic
subgroupG/H
centerC23C22×D212
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC4×C22⋊C8×C53C2
socleC23×C53C22×D4
prime radicalC22×#11719945C22
cosocleC22×C4×C53C24
hypercenterC4×C22⋊C8D53
hypocenterC53#22042
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C22×C42 ◁ C4×C22⋊C8

Complements

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

NH ≅ G/Ntype
2. C4×#13133196C2semidirect
4. #20275576C2semidirect
5. #20275569C2semidirect
6. #20275398C2semidirect
7. #20275391C2semidirect
8. #20275350C2semidirect
9. #20275336C2semidirect
10. #20275069C2semidirect
11. #20275055C2semidirect
12. #20275025C2semidirect
13. #20274916C2semidirect
15. C4×C22⋊C8×C53C2semidirect
22. #16810787C4semidirect
73. C2×Dic212C2×C4semidirect
76. C2×#11719913C2×C4semidirect
107. #13133142C2×C4semidirect
110. #13133139C2×C4semidirect
368. C4×C22⋊C8D53semidirect
422. C53#22042semidirect

Maximal subgroups

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

subgroupindex
C2×#168107872
C4×#131331962
#202772052
#202755762
#202755692
#202753982
#202753912
#202753502
#202753362
#202750692
#202750552
#202750252
#202749162
#202746562
C4×C22⋊C8×C532
#2204253