Finite Group Databasebeta

← #27402542

Subgroups — #27402542

Order 13568.

858 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810742C211yesmaximal, characteristic
2C2×#16810737C211yesmaximal, characteristic
3#20283513C211yesmaximal, characteristic
4#20283284C211yesmaximal, characteristic, complemented
5#20283283C211yesmaximal, characteristic, complemented
6#20275467C211yesmaximal, characteristic, complemented
7#20275462C211yesmaximal, characteristic, complemented
8#20274991C211yesmaximal, characteristic, complemented
9#20274991C211yesmaximal, characteristic, complemented
10#20274988C211yesmaximal, characteristic, complemented
11#20274988C211yesmaximal, characteristic, complemented
12#20274889C211yesmaximal, characteristic, complemented
13#20274736C211yesmaximal, characteristic, complemented
14#20274590C211yesmaximal, characteristic, complemented
15C53×#1806C211yesmaximal, characteristic, complemented
16C2×#13133237C2211yescharacteristic
17C2×#13133225C2211yescharacteristic
18C2×#13133225C2211yescharacteristic
19C2×#13133224C2211yescharacteristic
20C2×#13133224C2211yescharacteristic
21C4×#11719945C2211yescharacteristic
22#16810742—24no—
23#16810737—24no—
24#16810733C411yescharacteristic, complemented
25#16810733C411yescharacteristic, complemented
26#16810728C411yescharacteristic, complemented
27#16810728C411yescharacteristic, complemented
28#16810723C411yescharacteristic, complemented
29#16810723C411yescharacteristic, complemented
30#16810721C411yescharacteristic, complemented
31#16810721C411yescharacteristic, complemented
32C2×#13133152C2211yescharacteristic
33C2×#13133152C2211yescharacteristic
34C2×#13133152C2211yescharacteristic
35C2×#13133152C2211yescharacteristic
36#16810659C2211yescharacteristic
37#16810651C2211yescharacteristic
38#16810651C2211yescharacteristic
39#16810650—21no—
40#16810650—21no—
41#16810650C2211yescharacteristic
42#16810650C2211yescharacteristic
43#16810648—21no—
44#16810648—21no—
45#16810647—21no—
46#16810647C2211yescharacteristic
47#16810645—21no—
48C2×C4⋊#88322—21no—
49C2×C4⋊#88322C2211yescharacteristic
50C4⋊C8×D53—21no—
51C2×#13133145C2211yescharacteristic
52C2×#13133145C2211yescharacteristic
53#16810619C2211yescharacteristic
54#16810617C2211yescharacteristic
55C2×#13133128C2211yescharacteristic
56C2×#13133128C2211yescharacteristic
57C2×C4×#88322C2211yescharacteristic
58#16810383C2211yescharacteristic
59#16810383C2211yescharacteristic
60#16810378C2211yescharacteristic
61#16810378C2211yescharacteristic
62C4×#41×C53C2211yescharacteristic
63C53×#423C2211yescharacteristic
64C2×#104×C53C2211yescharacteristic
65C2×#104×C53C2211yescharacteristic
66C4×C4⋊C4×C53C2211yescharacteristic
67C53×#339C2211yescharacteristic
68C53×#339C2211yescharacteristic
69C2×#11719945C2311yescharacteristic
70#13133237D414yes—
71#13133237Q814yes—
72C2×#11719925C2×C411yescharacteristic
73C2×#11719923C2×C411yescharacteristic
74C2×#11719924C2×C411yescharacteristic
75C2×#11719922C2×C411yescharacteristic
76#13133225—22no—
77#13133225—22no—
78#13133225—41no—
79#13133225—41no—
80#13133224—22no—
81#13133224—22no—
82#13133224—41no—
83#13133224—41no—
84C2×#11719917—21no—
85C2×#11719917—21no—
86C2×#11719917C2311yescharacteristic
87C2×#11719917C2311yescharacteristic
88C2×#11719912—21no—
89C2×#11719912—21no—
90C22×#88322—21no—
91C22×#88322—21no—
92C22×#88322C2311yescharacteristic
93C22×#88322C2311yescharacteristic
94C22×#88322C2311yescharacteristic
95C22×#88322C2311yescharacteristic
96C2×C8×D53—21no—
97C2×C8×D53—21no—
98C4×Dic106C2×C411yescharacteristic
99C4×Dic106C2×C411yescharacteristic
100C4×D212C2×C411yescharacteristic
101C4×D212C2×C411yescharacteristic
102C4×C22⋊D53—21no—
103C4×C22⋊D53—21no—
104#13133176C2311yescharacteristic
105#13133174—21no—
106C42×D53—21no—
107#13133152—22no—
108#13133152—22no—
109#13133152—41no—
110#13133152—41no—
111#13133150C2×C411yescharacteristic
112#13133150C2×C411yescharacteristic
113#13133148C2×C411yescharacteristic
114#13133148C2×C411yescharacteristic
115C4⋊#88322—21no—
116C4⋊#88322—21no—
117C4⋊#88322—21no—
118C4⋊#88322—21no—
119C4⋊#88322—21no—
120C4⋊#88322—21no—
121C4⋊#88322D411yescharacteristic
122C4⋊#88322D411yescharacteristic
123C4⋊#88322D411yescharacteristic
124C4⋊#88322D411yescharacteristic
125#13133146—21no—
126#13133146—21no—
127#13133146—21no—
128#13133146—21no—
129#13133145—22no—
130#13133145—22no—
131#13133141C2×C411yescharacteristic
132#13133141C2×C411yescharacteristic
133#13133140C2×C411yescharacteristic
134#13133140C2×C411yescharacteristic
135#13133138C2×C411yescharacteristic
136#13133138C2×C411yescharacteristic
137#13133137C2×C411yescharacteristic
138#13133137C2×C411yescharacteristic
139#13133128—22no—
140#13133128C2×C411yescharacteristic
141#13133128C2×C411yescharacteristic
142#13133128C2×C411yescharacteristic
143#13133128C2×C411yescharacteristic
144C4×#88322—22no—
145C2×#41×C53C2311yescharacteristic
146C2×M16×C53C2311yescharacteristic
147C2×M16×C53C2311yescharacteristic
148C4×Q8×C53C2×C411yescharacteristic
149C4×Q8×C53C2×C411yescharacteristic
150C4×D4×C53—21no—
151C4×D4×C53—21no—
152C4×D4×C53C2×C411yescharacteristic
153C4×D4×C53C2×C411yescharacteristic
154#117×C53—21no—
155#117×C53C2311yescharacteristic
156C2×C4⋊C4×C53—21no—
157C2×C42×C53—21no—
158C2×C42×C53C2311yescharacteristic
159C2×C42×C53C2311yescharacteristic
160C2×C42×C53C2311yescharacteristic
161C4⋊C8×C53—21no—
162C4⋊C8×C53—21no—
163#104×C53—22no—
164#104×C53—22no—
165#95×C53—21no—
166#41×C53—21no—
167#41×C53—21no—
168#41×C53C2×D412yes—
169#41×C53C2×Q812yes—
170C2×Q8×C53C22×C411yescharacteristic
171C2×D4×C53—21no—
172C2×D4×C53C22×C411yescharacteristic
173C22×C4×C53—21no—
174C22×C4×C53—21no—
175C22×C4×C53—21no—
176C22×C4×C53—21no—
177C22×C4×C53—21no—
178C22×C4×C53#4111yescharacteristic
179C22×C4×C53#4111yescharacteristic
180C22×C4×C53C2411yescharacteristic
181C2×C22⋊D53—21no—
182#11719945—21no—
183#11719945—21no—
184#11719945C2×D412yes—
185#11719945C2×Q812yes—
186C2×D212C22×C411yescharacteristic
187C2×C4×D53—21no—
188C2×C4×D53—21no—
189C2×C4×D53—21no—
190C2×Dic106C22×C411yescharacteristic
191M16×C53—21no—
192M16×C53—21no—
193M16×C53—21no—
194M16×C53—21no—
195C2×C8×C53—21no—
196C2×C8×C53—21no—
197C4⋊C4×C53—21no—
198C4⋊C4×C53—21no—
199C4⋊C4×C53—42no—
200C4⋊C4×C53C22×C411yescharacteristic
201C4⋊C4×C53C22×C411yescharacteristic
202C22⋊C4×C53—21no—
203C22⋊C4×C53—21no—
204C22⋊C4×C53—21no—
205C42×C53—21no—
206C42×C53—21no—
207C42×C53—21no—
208C42×C53—21no—
209C42×C53—21no—
210C42×C53—21no—
211C42×C53—21no—
212C42×C53C22×C411yescharacteristic
213C42×C53C22×C411yescharacteristic
214C42×C53C2×D411yescharacteristic
215C42×C53C2×D411yescharacteristic
216C22⋊Dic53—21no—
217#11719925C4⋊C414yescomplemented
218#11719924C4⋊C414yescomplemented
219#11719923C4⋊C414yescomplemented
220#11719922C4⋊C414yescomplemented
221#11719921—21no—
222#11719921—21no—
223C4⋊Dic53C22×C411yescharacteristic
224C4⋊Dic53C22×C411yescharacteristic
225#11719919—21no—
226#11719919—21no—
227C4×Dic53—21no—
228C4×Dic53—21no—
229C4×Dic53—21no—
230#11719917—21no—
231#11719917—21no—
232#11719917—21no—
233#11719917—21no—
234#11719917—42no—
235#11719917—42no—
236C2×#88322—21no—
237C2×#88322—21no—
238C2×#88322—21no—
239C2×#88322—21no—
240C2×#88322—21no—
241C2×#88322—21no—
242C2×#88322—21no—
243C2×#88322—21no—
244C2×#88322—42no—
245C2×#88322—42no—
246C2×#88322C22×C411yescharacteristic
247C2×#88322C22×C411yescharacteristic
248C2×#88322C22×C411yescharacteristic
249C2×#88322C22×C411yescharacteristic
250C2×#88322C2×D411yescharacteristic
251C2×#88322C2×D411yescharacteristic
252C2×#88322C2×D411yescharacteristic
253C2×#88322C2×D411yescharacteristic
254C2×#88322C2×D412yes—
255C2×#88322C2×Q812yes—
256#11719912—42no—
257#11719912—42no—
258C8×D53—42no—
259C8×D53—42no—
260C23×C53—21no—
261C23×C53C2×#4111yescharacteristic
262C22×D53—21no—
263Q8×C53—21no—
264Q8×C53C2×C4⋊C412yes—
265D4×C53—22no—
266D4×C53—22no—
267D4×C53—21no—
268D4×C53C2×C4⋊C412yes—
269C2×C4×C53—21no—
270C2×C4×C53—22no—
271C2×C4×C53—22no—
272C2×C4×C53—22no—
273C2×C4×C53—21no—
274C2×C4×C53—21no—
275C2×C4×C53—41no—
276C2×C4×C53—41no—
277C2×C4×C53—42no—
278C2×C4×C53—41no—
279C2×C4×C53—41no—
280C2×C4×C53—41no—
281C2×C4×C53—41no—
282C2×C4×C53—41no—
283C2×C4×C53—81no—
284C2×C4×C53C4×D411yescharacteristic
285C2×C4×C53C4×D411yescharacteristic
286C2×C4×C53C4×D411yescharacteristic
287C2×C4×C53C4×D411yescharacteristic
288C2×C4×C53C23×C411yescharacteristic
289C2×C4×C53C22×D411yescharacteristic
290C2×C4×C53C22×D411yescharacteristic
291C2×C4×C53C22×Q811yescharacteristic
292C2×C4×C53H(5,𝔽2)11yescharacteristic
293C2×C4×C532−1+411yescharacteristic
294C22⋊D53—22no—
295C22⋊D53—22no—
296C2×Dic53—21no—
297C2×Dic53—21no—
298C2×Dic53—21no—
299D212—21no—
300D212C2×C4⋊C412yes—
301C4×D53—22no—
302C4×D53—22no—
303C4×D53—42no—
304C4×D53—81no—
305Dic106—21no—
306Dic106C2×C4⋊C412yes—
307C8×C53—41no—
308C8×C53—41no—
309#88322—21no—
310#88322—21no—
311#88322—21no—
312#88322—21no—
313#88322—21no—
314#88322—21no—
315#88322—41no—
316#88322—41no—
317#88322C2×C4⋊C412yes—
318#88322C2×C4⋊C412yes—
319#22687—531nomaximal, Sylow
320C22×C53—21no—
321C22×C53—21no—
322C22×C53—22no—
323C22×C53—41no—
324C22×C53—41no—
325C22×C53C2×C4×D411yescharacteristic
326C22×C53#54711yescharacteristic
327C22×C53#55411yescharacteristic
328C2×D53—22no—
329C2×D53—41no—
330C2×D53—41no—
331C4×C53—22no—
332C4×C53—21no—
333C4×C53—21no—
334C4×C53—21no—
335C4×C53—21no—
336C4×C53—42no—
337C4×C53—41no—
338C4×C53—41no—
339C4×C53—81no—
340C4×C53C22×C4⋊C411yescharacteristic
341C4×C53#52011yescharacteristic
342C4×C53D4211yescharacteristic
343C4×C53D4×Q811yescharacteristic
344Dic53—22no—
345Dic53—41no—
346Dic53—41no—
347C2×#444—531no—
348C2×#443—531no—
349#2943—531no—
350#2906—531no—
351#2906—531no—
352#1946—531no—
353#1945—531no—
354#1866—531no—
355#1866—531no—
356#1866—531no—
357#1866—531no—
358#1849—531no—
359#1806—531no—
360#1806D5311yescharacteristic, complemented
361#1771—531no—
362C2×C53—21no—
363C2×C53—21no—
364C2×C53—42no—
365C2×C53D4×C4⋊C411yescharacteristic
366C2×C53#295511yescharacteristic
367C2×C53#295611yescharacteristic
368D53—42no—
369C2×#135—531no—
370C2×#131—531no—
371C2×#131—531no—
372C2×#131—531no—
373C2×#131—531no—
374C4×#41—531no—
375C4×#41C2×D5311yescharacteristic
376#444—1064no—
377#443—1064no—
378#442—531no—
379#442—531no—
380#441—531no—
381#441—531no—
382#440—531no—
383#440—531no—
384#440—531no—
385#440—531no—
386C2×#108—531no—
387C2×#108—531no—
388C2×#108—531no—
389C2×#108—531no—
390#427—531no—
391#424—531no—
392#424—531no—
393#424—531no—
394#424—531no—
395#424—1061no—
396#424—1061no—
397#424—1061no—
398#424—1061no—
399#423—531no—
400#423—1061no—
401#423—1061no—
402#423C2×D5311yescharacteristic
403C2×C4⋊C8—531no—
404C2×C4⋊C8—1061no—
405C2×C4⋊C8—1061no—
406C2×#104—531no—
407C2×#104—531no—
408C2×#104C2×D5311yescharacteristic
409C2×#104C2×D5311yescharacteristic
410#416—531no—
411#416—531no—
412C2×#97—531no—
413C2×#97—531no—
414C2×C4×C8—531no—
415C4×C4⋊C4C2×D5311yescharacteristic
416#339—531no—
417#339—531no—
418#339C2×D5311yescharacteristic
419#339C2×D5311yescharacteristic
420#336—531no—
421#336—531no—
422C53#2268711yescharacteristic, complemented, Sylow
423C2×#41—531no—
424C2×#41C22×D5311yescharacteristic
425#135—534no—
426#135—534no—
427C2×Q16—531no—
428C2×SD16—531no—
429C2×SD16—531no—
430C2×D8—531no—
431#131—1062no—
432#131—1062no—
433#131—1062no—
434#131—1062no—
435#131—2121no—
436#131—2121no—
437#131—2121no—
438#131—2121no—
439C2×M16—531no—
440C2×M16—531no—
441C2×M16—1061no—
442C2×M16—1061no—
443C2×M16—1061no—
444C2×M16—1061no—
445C2×M16C22×D5311yescharacteristic
446C2×M16C22×D5311yescharacteristic
447C22×C8—531no—
448C22×C8—531no—
449C22×C8—531no—
450C22×C8—531no—
451C22×C8—1061no—
452C22×C8—1061no—
453C22×C8—1061no—
454C22×C8—1061no—
455C4×Q8—531no—
456C4×Q8—531no—
457C4×Q8C4×D5311yescharacteristic
458C4×Q8C4×D5311yescharacteristic
459C4×D4—21no—
460C4×D4—21no—
461C4×D4—531no—
462C4×D4—531no—
463C4×D4—1061no—
464C4×D4—1061no—
465C4×D4C4×D5311yescharacteristic
466C4×D4C4×D5311yescharacteristic
467#117—21no—
468#117—531no—
469#117—1061no—
470#117C22×D5311yescharacteristic
471C2×C4⋊C4—21no—
472C2×C42—21no—
473C2×C42—1061no—
474C2×C42C22×D5311yescharacteristic
475C2×C42C22×D5311yescharacteristic
476C2×C42C22×D5311yescharacteristic
477#108—1062no—
478#108—1062no—
479#108—2121no—
480#108—2121no—
481#107—531no—
482#107—531no—
483#106—531no—
484#106—531no—
485C4⋊C8—21no—
486C4⋊C8—21no—
487C4⋊C8—531no—
488C4⋊C8—531no—
489C4⋊C8—531no—
490C4⋊C8—531no—
491C4⋊C8—1061no—
492C4⋊C8—1061no—
493C4⋊C8—1061no—
494C4⋊C8—1061no—
495C4⋊C8—1061no—
496C4⋊C8—1061no—
497C4⋊C8—1061no—
498C4⋊C8—1061no—
499C4⋊C8—1061no—
500C4⋊C8—1061no—
501#104—22no—
502#104—22no—
503#104—1062no—
504#104—1062no—
505#103—531no—
506#103—531no—
507#103—531no—
508#103—531no—
509#102—531no—
510#102—531no—
511#102—531no—
512#102—531no—
513#97—531no—
514#97—531no—
515#97—531no—
516#97—531no—
517#97—1062no—
518C4×C8—1062no—
519#95—21no—
520#41—21no—
521#41—21no—
522#41—532no—
523#41—532no—
524#41—1061no—
525#41—1061no—
526#41D4×D5312yes—
527#41Q8×D5312yes—
528C2×Q8—531no—
529C2×Q8C2×C4×D5311yescharacteristic
530C2×D4—21no—
531C2×D4—531no—
532C2×D4—1061no—
533C2×D4C2×C4×D5311yescharacteristic
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—1061no—
540C22×C4—1061no—
541C22×C4—1061no—
542C22×C4#1171994711yescharacteristic
543C22×C4#1171994711yescharacteristic
544C22×C4C23×D5311yescharacteristic
545Q16—534no—
546SD16—534no—
547SD16—534no—
548D8—534no—
549M16—21no—
550M16—21no—
551M16—21no—
552M16—21no—
553M16—1061no—
554M16—1061no—
555M16—1061no—
556M16—1061no—
557M16—2122no—
558M16—2122no—
559M16—2122no—
560M16—2122no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—531no—
564C2×C8—531no—
565C2×C8—532no—
566C2×C8—532no—
567C2×C8—531no—
568C2×C8—531no—
569C2×C8—531no—
570C2×C8—531no—
571C2×C8—531no—
572C2×C8—531no—
573C2×C8—1061no—
574C2×C8—1061no—
575C2×C8—1061no—
576C2×C8—1061no—
577C2×C8—1061no—
578C2×C8—1061no—
579C2×C8—1061no—
580C2×C8—1061no—
581C2×C8—2122no—
582C2×C8—2122no—
583C2×C8—2122no—
584C2×C8—2122no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—42no—
588C4⋊C4—531no—
589C4⋊C4—531no—
590C4⋊C4—1061no—
591C4⋊C4—1061no—
592C4⋊C4C2×C4×D5311yescharacteristic
593C4⋊C4C2×C4×D5311yescharacteristic
594C22⋊C4—21no—
595C22⋊C4—21no—
596C22⋊C4—21no—
597C22⋊C4—1061no—
598C22⋊C4—1061no—
599C22⋊C4—1061no—
600C42—21no—
601C42—21no—
602C42—21no—
603C42—21no—
604C42—21no—
605C42—21no—
606C42—21no—
607C42—1061no—
608C42—1061no—
609C42—1061no—
610C42C2×C4×D5311yescharacteristic
611C42C2×C4×D5311yescharacteristic
612C42D4×D5311yescharacteristic
613C42D4×D5311yescharacteristic
614C23—21no—
615C23—1061no—
616C23C2×#1171994711yescharacteristic
617Q8—21no—
618Q8—532no—
619Q8—1061no—
620Q8C4⋊C4×D5312yes—
621D4—22no—
622D4—22no—
623D4—21no—
624D4—532no—
625D4—1062no—
626D4—1062no—
627D4—1061no—
628D4C4⋊C4×D5312yes—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—42no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—81no—
644C2×C4—1061no—
645C2×C4—1062no—
646C2×C4—1062no—
647C2×C4—1061no—
648C2×C4—1061no—
649C2×C4—4241no—
650C2×C4—2122no—
651C2×C4#1313317711yescharacteristic
652C2×C4#1313317711yescharacteristic
653C2×C4#1313317711yescharacteristic
654C2×C4#1313317711yescharacteristic
655C2×C4C22×C4×D5311yescharacteristic
656C2×C4C2×D4×D5311yescharacteristic
657C2×C4C2×D4×D5311yescharacteristic
658C2×C4C2×Q8×D5311yescharacteristic
659C2×C4#1313326311yescharacteristic
660C2×C4#1313326411yescharacteristic
661C8—41no—
662C8—41no—
663C8—532no—
664C8—532no—
665C8—1061no—
666C8—1061no—
667C8—1061no—
668C8—1061no—
669C8—1061no—
670C8—1061no—
671C8—2121no—
672C8—2121no—
673C22—21no—
674C22—21no—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—1062no—
679C22—2121no—
680C22—2121no—
681C22C2×#1313317711yescharacteristic
682C22#1681127311yescharacteristic
683C22#1681133111yescharacteristic
684C4—22no—
685C4—21no—
686C4—21no—
687C4—21no—
688C4—21no—
689C4—42no—
690C4—41no—
691C4—41no—
692C4—81no—
693C4—1062no—
694C4—2121no—
695C4—2121no—
696C4C2×C4⋊C4×D5311yescharacteristic
697C4#1681110311yescharacteristic
698C4#1681125711yescharacteristic
699C4#1681128611yescharacteristic
700C2—21no—
701C2—21no—
702C2—42no—
703C2—2122no—
704C2#2027761111yescharacteristic
705C2#2028361411yescharacteristic
706C2#2028362111yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#1806C2
socleC22×C53C2×C4×D4
prime radicalC2×#13133237C22
cosocleC22×C4×C53C24
hypercenter#1806D53
hypocenterC53#22687
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1806

Complements

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

NH ≅ G/Ntype
4. #20283284C2semidirect
5. #20283283C2semidirect
6. #20275467C2semidirect
7. #20275462C2semidirect
8. #20274991C2semidirect
9. #20274991C2semidirect
10. #20274988C2semidirect
11. #20274988C2semidirect
12. #20274889C2semidirect
13. #20274736C2semidirect
14. #20274590C2semidirect
15. C53×#1806C2semidirect
24. #16810733C4semidirect
25. #16810733C4semidirect
26. #16810728C4semidirect
27. #16810728C4semidirect
28. #16810723C4semidirect
29. #16810723C4semidirect
30. #16810721C4semidirect
31. #16810721C4semidirect
217. #11719925C4⋊C4semidirect
218. #11719924C4⋊C4semidirect
219. #11719923C4⋊C4semidirect
220. #11719922C4⋊C4semidirect
360. #1806D53semidirect
422. C53#22687semidirect

Maximal subgroups

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

subgroupindex
C2×#168107422
C2×#168107372
#202835132
#202832842
#202832832
#202754672
#202754622
#202749912
#202749882
#202748892
#202747362
#202745902
C53×#18062
#2268753