Finite Group Databasebeta

← #27406628

Subgroups — #27406628

Order 13568.

864 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20284164C211yesmaximal, characteristic
2C2×#16810742C211yesmaximal, characteristic, complemented
3C2×#16810737C211yesmaximal, characteristic, complemented
4#20283459C211yesmaximal, characteristic, complemented
5#20283284C211yesmaximal, characteristic, complemented
6#20275488C211yesmaximal, characteristic, complemented
7#20275423C211yesmaximal, characteristic, complemented
8#20275416C211yesmaximal, characteristic, complemented
9#20275039C211yesmaximal, characteristic, complemented
10#20275039C211yesmaximal, characteristic, complemented
11#20274988C211yesmaximal, characteristic, complemented
12#20274988C211yesmaximal, characteristic, complemented
13#20274572C211yesmaximal, characteristic, complemented
14#20274526C211yesmaximal, characteristic, complemented
15C53×#1963C211yesmaximal, characteristic, complemented
16C2×#13133237C2211yescharacteristic
17C2×#13133237C2211yescharacteristic
18C2×#13133225C2211yescharacteristic
19C2×#13133225C2211yescharacteristic
20C2×#13133224C2211yescharacteristic
21C2×#13133224C2211yescharacteristic
22C4×#11719945C2211yescharacteristic
23#16810842C411yescharacteristic, complemented
24#16810842C411yescharacteristic, complemented
25#16810835C411yescharacteristic, complemented
26#16810835C411yescharacteristic, complemented
27#16810830C411yescharacteristic, complemented
28#16810825C411yescharacteristic, complemented
29#16810820C411yescharacteristic, complemented
30#16810815C411yescharacteristic, complemented
31#16810742—24no—
32#16810737—24no—
33#16810701—21no—
34#16810695—21no—
35#16810695—21no—
36D4×#88322—21no—
37C2×#13133152C2211yescharacteristic
38C2×#13133152C2211yescharacteristic
39#16810651C2211yescharacteristic
40#16810651C2211yescharacteristic
41#16810648—21no—
42#16810648—21no—
43#16810645—21no—
44C2×C4⋊#88322C2211yescharacteristic
45C2×C4⋊#88322C2211yescharacteristic
46C4⋊C8×D53—21no—
47C2×#13133145C2211yescharacteristic
48C2×#13133145C2211yescharacteristic
49#16810619C2211yescharacteristic
50#16810619C2211yescharacteristic
51#16810590C2211yescharacteristic
52#16810590C2211yescharacteristic
53C4×#11719917C2211yescharacteristic
54C2×#13133128C2211yescharacteristic
55C2×C4×#88322C2211yescharacteristic
56#16810387C2211yescharacteristic
57#16810387C2211yescharacteristic
58#16810383C2211yescharacteristic
59#16810383C2211yescharacteristic
60#16810378C2211yescharacteristic
61#16810378C2211yescharacteristic
62C53×#532C2211yescharacteristic
63C53×#423C2211yescharacteristic
64C2×#104×C53C2211yescharacteristic
65C2×#104×C53C2211yescharacteristic
66C2×#104×C53C2211yescharacteristic
67C2×#104×C53C2211yescharacteristic
68C53×#376C2211yescharacteristic
69C2×#11719945C2311yescharacteristic
70#13133237—22no—
71#13133237—22no—
72#13133237—22no—
73#13133237—22no—
74C2×#11719925C2×C411yescharacteristic
75C2×#11719925C2×C411yescharacteristic
76C2×#11719923C2×C411yescharacteristic
77C2×#11719923C2×C411yescharacteristic
78C2×#11719924C2×C411yescharacteristic
79C2×#11719924C2×C411yescharacteristic
80C2×#11719922C2×C411yescharacteristic
81C2×#11719922C2×C411yescharacteristic
82#13133225—22no—
83#13133225—22no—
84#13133225—41no—
85#13133225—41no—
86#13133224—22no—
87#13133224—22no—
88#13133224—41no—
89#13133224—41no—
90C2×#11719917—21no—
91C2×#11719917—21no—
92C2×#11719917C2311yescharacteristic
93C2×#11719917C2311yescharacteristic
94C2×#11719912—21no—
95C2×#11719912—21no—
96C22×#88322—21no—
97C22×#88322—21no—
98C22×#88322C2311yescharacteristic
99C22×#88322C2311yescharacteristic
100C22×#88322C2311yescharacteristic
101C22×#88322C2311yescharacteristic
102C2×C8×D53—21no—
103C2×C8×D53—21no—
104C4×Dic106C2×C411yescharacteristic
105C4×Dic106C2×C411yescharacteristic
106C4×D212C2×C411yescharacteristic
107C4×D212C2×C411yescharacteristic
108C4×C22⋊D53—21no—
109C4×C22⋊D53—21no—
110#13133176C2311yescharacteristic
111#13133174—21no—
112C42×D53—21no—
113#13133152—22no—
114#13133152—22no—
115C4⋊#88322C2×C411yescharacteristic
116C4⋊#88322C2×C411yescharacteristic
117C4⋊#88322C2×C411yescharacteristic
118C4⋊#88322C2×C411yescharacteristic
119C4⋊#88322D411yescharacteristic
120C4⋊#88322D411yescharacteristic
121C4⋊#88322D411yescharacteristic
122C4⋊#88322D411yescharacteristic
123#13133146—21no—
124#13133146—21no—
125#13133146—21no—
126#13133146—21no—
127#13133145—22no—
128#13133145D414yescomplemented
129#13133141C2×C411yescharacteristic
130#13133141C2×C411yescharacteristic
131#13133141C2×C411yescharacteristic
132#13133141C2×C411yescharacteristic
133#13133138C2×C411yescharacteristic
134#13133138C2×C411yescharacteristic
135#13133138C2×C411yescharacteristic
136#13133138C2×C411yescharacteristic
137C22⋊#88322—21no—
138C22⋊#88322—21no—
139C22⋊#88322—21no—
140C22⋊#88322—21no—
141#13133128—22no—
142#13133128—21no—
143C4×#88322—22no—
144C4×#88322—21no—
145C2×#41×C53C2311yescharacteristic
146C2×#41×C53C2311yescharacteristic
147C2×M16×C53C2311yescharacteristic
148C2×M16×C53C2311yescharacteristic
149C4⋊Q8×C53C2×C411yescharacteristic
150#127×C53C2×C411yescharacteristic
151#124×C53C2×C411yescharacteristic
152#124×C53C2×C411yescharacteristic
153#121×C53—21no—
154#121×C53—21no—
155C4×D4×C53—21no—
156C4×D4×C53—21no—
157C2×C42×C53C2311yescharacteristic
158C2×C42×C53C2311yescharacteristic
159C2×C42×C53C2311yescharacteristic
160C4⋊C8×C53—21no—
161C4⋊C8×C53—21no—
162#104×C53—22no—
163#104×C53—22no—
164#104×C53—41no—
165#104×C53—41no—
166#95×C53—21no—
167#95×C53—21no—
168#41×C53—21no—
169#41×C53—21no—
170#41×C53—21no—
171#41×C53—21no—
172#41×C53—21no—
173#41×C53—21no—
174#41×C53—21no—
175#41×C53—21no—
176C2×Q8×C53C22×C411yescharacteristic
177C2×Q8×C53C22×C411yescharacteristic
178C2×D4×C53—21no—
179C2×D4×C53—21no—
180C2×D4×C53—21no—
181C2×D4×C53—21no—
182C2×D4×C53C22×C411yescharacteristic
183C2×D4×C53C22×C411yescharacteristic
184C22×C4×C53—21no—
185C22×C4×C53—21no—
186C22×C4×C53—21no—
187C22×C4×C53—21no—
188C22×C4×C53#4111yescharacteristic
189C22×C4×C53#4111yescharacteristic
190C22×C4×C53C2411yescharacteristic
191C2×C22⋊D53—21no—
192#11719945—21no—
193#11719945—21no—
194#11719945C2×D412yes—
195#11719945#4112yes—
196C2×D212C22×C411yescharacteristic
197C2×C4×D53—21no—
198C2×C4×D53—21no—
199C2×C4×D53—21no—
200C2×Dic106C22×C411yescharacteristic
201M16×C53—21no—
202M16×C53—21no—
203M16×C53—21no—
204M16×C53—21no—
205C2×C8×C53—21no—
206C2×C8×C53—21no—
207C4⋊C4×C53—21no—
208C4⋊C4×C53—21no—
209C22⋊C4×C53—21no—
210C22⋊C4×C53—21no—
211C22⋊C4×C53—21no—
212C22⋊C4×C53—21no—
213C42×C53—21no—
214C42×C53—21no—
215C42×C53—21no—
216C42×C53C22×C411yescharacteristic
217C42×C53C22×C411yescharacteristic
218C42×C53C2×D412yes—
219C42×C53C2×D411yescharacteristic
220C42×C53C2×D411yescharacteristic
221C22⋊Dic53—21no—
222#11719925—22no—
223#11719925—22no—
224#11719924—22no—
225#11719924—22no—
226#11719923—22no—
227#11719923—22no—
228#11719922—22no—
229#11719922—22no—
230#11719921—21no—
231#11719921—21no—
232C4⋊Dic53C22×C411yescharacteristic
233C4⋊Dic53C22×C411yescharacteristic
234#11719919—21no—
235#11719919—21no—
236C4×Dic53—21no—
237C4×Dic53—21no—
238C4×Dic53—21no—
239#11719917—21no—
240#11719917—21no—
241#11719917—21no—
242#11719917—42no—
243#11719917—42no—
244#11719917C2×D412yes—
245C2×#88322—21no—
246C2×#88322—21no—
247C2×#88322—21no—
248C2×#88322—21no—
249C2×#88322—21no—
250C2×#88322—21no—
251C2×#88322—21no—
252C2×#88322—21no—
253C2×#88322—21no—
254C2×#88322—21no—
255C2×#88322—42no—
256C2×#88322—42no—
257C2×#88322C22×C411yescharacteristic
258C2×#88322C22×C411yescharacteristic
259C2×#88322C22×C411yescharacteristic
260C2×#88322C22×C411yescharacteristic
261C2×#88322C2×D411yescharacteristic
262C2×#88322C2×D411yescharacteristic
263C2×#88322C2×D411yescharacteristic
264C2×#88322C2×D411yescharacteristic
265#11719912—42no—
266#11719912—42no—
267C8×D53—42no—
268C8×D53—42no—
269C23×C53—21no—
270C23×C53—21no—
271C23×C53C2×#4111yescharacteristic
272C22×D53—21no—
273Q8×C53—21no—
274Q8×C53—21no—
275Q8×C53—21no—
276Q8×C53—21no—
277D4×C53—21no—
278D4×C53—21no—
279D4×C53—21no—
280D4×C53—21no—
281D4×C53—42no—
282D4×C53—41no—
283D4×C53—41no—
284D4×C53—41no—
285D4×C53—41no—
286D4×C53—81no—
287C2×C4×C53—21no—
288C2×C4×C53—21no—
289C2×C4×C53—22no—
290C2×C4×C53—41no—
291C2×C4×C53—41no—
292C2×C4×C53—41no—
293C2×C4×C53—41no—
294C2×C4×C53—41no—
295C2×C4×C53—41no—
296C2×C4×C53—41no—
297C2×C4×C53—41no—
298C2×C4×C53—41no—
299C2×C4×C53—41no—
300C2×C4×C53—41no—
301C2×C4×C53C4×D411yescharacteristic
302C2×C4×C53C4×D411yescharacteristic
303C2×C4×C53C4×D411yescharacteristic
304C2×C4×C53C4×D411yescharacteristic
305C2×C4×C53C23×C411yescharacteristic
306C2×C4×C53C22×D411yescharacteristic
307C2×C4×C53C22×D411yescharacteristic
308C2×C4×C53C2×#4111yescharacteristic
309C2×C4×C53H(5,𝔽2)11yescharacteristic
310C2×C4×C532−1+411yescharacteristic
311C22⋊D53—22no—
312C22⋊D53—22no—
313C2×Dic53—21no—
314C2×Dic53—21no—
315C2×Dic53—21no—
316D212—21no—
317D212C4×D412yes—
318C4×D53—22no—
319C4×D53—22no—
320C4×D53—42no—
321C4×D53—81no—
322Dic106—21no—
323Dic106C4×D412yes—
324C8×C53—41no—
325C8×C53—41no—
326#88322—21no—
327#88322—21no—
328#88322—21no—
329#88322—21no—
330#88322—21no—
331#88322—21no—
332#88322—21no—
333#88322—21no—
334#88322—22no—
335#88322—41no—
336#23017—531nomaximal, Sylow
337C22×C53—21no—
338C22×C53—21no—
339C22×C53—41no—
340C22×C53—41no—
341C22×C53—41no—
342C22×C53—41no—
343C22×C53—41no—
344C22×C53—41no—
345C22×C53C2×C4×D411yescharacteristic
346C22×C53#54711yescharacteristic
347C22×C53#55311yescharacteristic
348C2×D53—22no—
349C2×D53—41no—
350C2×D53—41no—
351C4×C53—21no—
352C4×C53—21no—
353C4×C53—21no—
354C4×C53—21no—
355C4×C53—42no—
356C4×C53—41no—
357C4×C53—41no—
358C4×C53—81no—
359C4×C53C2×C4×D411yescharacteristic
360C4×C53#52011yescharacteristic
361C4×C53D4211yescharacteristic
362C4×C53#54811yescharacteristic
363Dic53—22no—
364Dic53—41no—
365Dic53—41no—
366#3035—531no—
367C2×#444—531no—
368C2×#443—531no—
369#2935—531no—
370#2906—531no—
371#1963D5311yescharacteristic, complemented
372#1950—531no—
373#1938—531no—
374#1937—531no—
375#1876—531no—
376#1876—531no—
377#1866—531no—
378#1866—531no—
379#1768—531no—
380#1759—531no—
381C2×C53—21no—
382C2×C53—21no—
383C2×C53—81no—
384C2×C53—81no—
385C2×C53#236111yescharacteristic
386C2×C53#295511yescharacteristic
387C2×C53#295711yescharacteristic
388D53—42no—
389C2×#135—531no—
390C2×#135—531no—
391C2×#131—531no—
392C2×#131—531no—
393C2×#131—531no—
394C2×#131—531no—
395#532C2×D5311yescharacteristic
396C4×#41—531no—
397#464—531no—
398#464—531no—
399#463—531no—
400#463—531no—
401#462—531no—
402#461—531no—
403#460—531no—
404#459—531no—
405#444—1064no—
406#443—1064no—
407#436—1061no—
408#435—1061no—
409#435—1061no—
410C8×D4—1061no—
411C2×#108—531no—
412C2×#108—531no—
413#424—531no—
414#424—531no—
415#424—1061no—
416#424—1061no—
417#423—1061no—
418#423C2×D5311yescharacteristic
419C2×C4⋊C8—531no—
420C2×C4⋊C8—531no—
421C2×C4⋊C8—1061no—
422C2×#104—531no—
423C2×#104—531no—
424C2×#104C2×D5311yescharacteristic
425C2×#104C2×D5311yescharacteristic
426C2×#104C2×D5311yescharacteristic
427C2×#104C2×D5311yescharacteristic
428#416—531no—
429#416—531no—
430#408—531no—
431#408—531no—
432C4×M16—531no—
433C2×#97—531no—
434C2×C4×C8—531no—
435#376C2×D5311yescharacteristic
436#341—531no—
437#341—531no—
438#339—531no—
439#339—531no—
440#336—531no—
441#336—531no—
442C53#2301711yescharacteristic, complemented, Sylow
443C2×#41—531no—
444C2×#41C22×D5311yescharacteristic
445C2×#41C22×D5311yescharacteristic
446#135—1062no—
447#135—1062no—
448#135—1062no—
449#135—1062no—
450C2×Q16—531no—
451C2×Q16—531no—
452C2×SD16—531no—
453C2×SD16—531no—
454C2×SD16—531no—
455C2×SD16—531no—
456C2×D8—531no—
457C2×D8—531no—
458#131—1062no—
459#131—1062no—
460#131—1062no—
461#131—1062no—
462#131—2121no—
463#131—2121no—
464#131—2121no—
465#131—2121no—
466C2×M16—531no—
467C2×M16—531no—
468C2×M16—1061no—
469C2×M16—1061no—
470C2×M16—1061no—
471C2×M16—1061no—
472C2×M16C22×D5311yescharacteristic
473C2×M16C22×D5311yescharacteristic
474C22×C8—531no—
475C22×C8—531no—
476C22×C8—531no—
477C22×C8—531no—
478C22×C8—1061no—
479C22×C8—1061no—
480C22×C8—1061no—
481C22×C8—1061no—
482C4⋊Q8C4×D5311yescharacteristic
483#127C4×D5311yescharacteristic
484#124C4×D5311yescharacteristic
485#124C4×D5311yescharacteristic
486#121—21no—
487#121—21no—
488C4×Q8—531no—
489C4×Q8—531no—
490C4×D4—21no—
491C4×D4—21no—
492C4×D4—531no—
493C4×D4—531no—
494C4×D4—1061no—
495C4×D4—1061no—
496#117—531no—
497#117—1061no—
498C2×C42—1061no—
499C2×C42C22×D5311yescharacteristic
500C2×C42C22×D5311yescharacteristic
501C2×C42C22×D5311yescharacteristic
502#108—1062no—
503#108—1062no—
504C4⋊C8—21no—
505C4⋊C8—21no—
506C4⋊C8—531no—
507C4⋊C8—531no—
508C4⋊C8—531no—
509C4⋊C8—531no—
510C4⋊C8—531no—
511C4⋊C8—531no—
512C4⋊C8—531no—
513C4⋊C8—531no—
514C4⋊C8—1061no—
515C4⋊C8—1061no—
516C4⋊C8—1061no—
517C4⋊C8—1061no—
518#104—22no—
519#104—22no—
520#104—41no—
521#104—41no—
522#104—534no—
523#104—1062no—
524#103—531no—
525#103—531no—
526#103—531no—
527#103—531no—
528#102—531no—
529#102—531no—
530#102—531no—
531#102—531no—
532C22⋊C8—1061no—
533C22⋊C8—1061no—
534C22⋊C8—1061no—
535C22⋊C8—1061no—
536#97—1062no—
537#97—1061no—
538C4×C8—1062no—
539C4×C8—1061no—
540#95—21no—
541#95—21no—
542#41—21no—
543#41—21no—
544#41—21no—
545#41—21no—
546#41—21no—
547#41—21no—
548#41—21no—
549#41—21no—
550#41—532no—
551#41—532no—
552#41—1061no—
553#41—1061no—
554C2×Q8—531no—
555C2×Q8C2×C4×D5311yescharacteristic
556C2×Q8C2×C4×D5311yescharacteristic
557C2×D4—21no—
558C2×D4—21no—
559C2×D4—21no—
560C2×D4—21no—
561C2×D4—531no—
562C2×D4—1061no—
563C2×D4C2×C4×D5311yescharacteristic
564C2×D4C2×C4×D5311yescharacteristic
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—21no—
569C22×C4—1061no—
570C22×C4—1061no—
571C22×C4—1061no—
572C22×C4#1171994711yescharacteristic
573C22×C4#1171994711yescharacteristic
574C22×C4C23×D5311yescharacteristic
575Q16—1062no—
576Q16—1062no—
577SD16—1062no—
578SD16—1062no—
579SD16—1062no—
580SD16—1062no—
581D8—1062no—
582D8—1062no—
583M16—21no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—532no—
588M16—1061no—
589M16—1061no—
590M16—1061no—
591M16—2122no—
592M16—2122no—
593M16—2122no—
594M16—2122no—
595C2×C8—21no—
596C2×C8—21no—
597C2×C8—531no—
598C2×C8—531no—
599C2×C8—531no—
600C2×C8—531no—
601C2×C8—531no—
602C2×C8—531no—
603C2×C8—531no—
604C2×C8—531no—
605C2×C8—1061no—
606C2×C8—1061no—
607C2×C8—1061no—
608C2×C8—1061no—
609C2×C8—1061no—
610C2×C8—1061no—
611C2×C8—1061no—
612C2×C8—1061no—
613C2×C8—1061no—
614C2×C8—1061no—
615C2×C8—2122no—
616C2×C8—2122no—
617C2×C8—2122no—
618C2×C8—2122no—
619C4⋊C4—21no—
620C4⋊C4—21no—
621C4⋊C4—531no—
622C4⋊C4—531no—
623C4⋊C4—1061no—
624C4⋊C4—1061no—
625C22⋊C4—21no—
626C22⋊C4—21no—
627C22⋊C4—21no—
628C22⋊C4—21no—
629C22⋊C4—1061no—
630C22⋊C4—1061no—
631C22⋊C4—1061no—
632C42—21no—
633C42—21no—
634C42—21no—
635C42—1061no—
636C42—1061no—
637C42—1061no—
638C42C2×C4×D5311yescharacteristic
639C42C2×C4×D5311yescharacteristic
640C42D4×D5312yes—
641C42D4×D5311yescharacteristic
642C42D4×D5311yescharacteristic
643C23—21no—
644C23—21no—
645C23—1061no—
646C23C2×#1171994711yescharacteristic
647Q8—21no—
648Q8—21no—
649Q8—21no—
650Q8—21no—
651Q8—532no—
652Q8—1061no—
653D4—21no—
654D4—21no—
655D4—21no—
656D4—21no—
657D4—42no—
658D4—41no—
659D4—41no—
660D4—41no—
661D4—41no—
662D4—81no—
663D4—532no—
664D4—1062no—
665D4—1062no—
666D4—1061no—
667C2×C4—22no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—1061no—
682C2×C4—1062no—
683C2×C4—1062no—
684C2×C4—1061no—
685C2×C4—1061no—
686C2×C4—4241no—
687C2×C4—2122no—
688C2×C4#1313317711yescharacteristic
689C2×C4#1313317711yescharacteristic
690C2×C4#1313317711yescharacteristic
691C2×C4#1313317711yescharacteristic
692C2×C4C22×C4×D5311yescharacteristic
693C2×C4C2×D4×D5311yescharacteristic
694C2×C4C2×D4×D5311yescharacteristic
695C2×C4#41×D5311yescharacteristic
696C2×C4#1313326211yescharacteristic
697C2×C4#1313326411yescharacteristic
698C8—41no—
699C8—41no—
700C8—1061no—
701C8—1061no—
702C8—1061no—
703C8—1061no—
704C8—1061no—
705C8—1061no—
706C8—1061no—
707C8—1061no—
708C8—1062no—
709C8—2121no—
710C22—21no—
711C22—21no—
712C22—41no—
713C22—41no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22—1062no—
719C22—2121no—
720C22—2121no—
721C22C2×#1313317711yescharacteristic
722C22#1681127311yescharacteristic
723C22#1681132011yescharacteristic
724C4—21no—
725C4—21no—
726C4—21no—
727C4—21no—
728C4—42no—
729C4—41no—
730C4—41no—
731C4—81no—
732C4—1062no—
733C4—2121no—
734C4—2121no—
735C4C4×D4×D5311yescharacteristic
736C4#1681110211yescharacteristic
737C4#1681125811yescharacteristic
738C4#1681128111yescharacteristic
739C2—21no—
740C2—21no—
741C2—81no—
742C2—81no—
743C2—2122no—
744C2#2027773611yescharacteristic
745C2#2028361411yescharacteristic
746C2#2028362811yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#1963C2
socleC22×C53C2×C4×D4
prime radical#20284164C2
cosocleC22×C4×C53C24
hypercenter#1963D53
hypocenterC53#23017
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1963

Complements

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

NH ≅ G/Ntype
2. C2×#16810742C2semidirect
3. C2×#16810737C2semidirect
4. #20283459C2semidirect
5. #20283284C2semidirect
6. #20275488C2semidirect
7. #20275423C2semidirect
8. #20275416C2semidirect
9. #20275039C2semidirect
10. #20275039C2semidirect
11. #20274988C2semidirect
12. #20274988C2semidirect
13. #20274572C2semidirect
14. #20274526C2semidirect
15. C53×#1963C2semidirect
23. #16810842C4semidirect
24. #16810842C4semidirect
25. #16810835C4semidirect
26. #16810835C4semidirect
27. #16810830C4semidirect
28. #16810825C4semidirect
29. #16810820C4semidirect
30. #16810815C4semidirect
128. #13133145D4semidirect
371. #1963D53semidirect
442. C53#23017semidirect

Maximal subgroups

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

subgroupindex
#202841642
C2×#168107422
C2×#168107372
#202834592
#202832842
#202754882
#202754232
#202754162
#202750392
#202749882
#202745722
#202745262
C53×#19632
#2301753