Finite Group Databasebeta

← #27452117

Subgroups — #27452117

Order 13568.

910 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20279078C211yesmaximal, characteristic, complemented
2#20276025C211yesmaximal, characteristic, complemented
3#20275894C211yesmaximal, characteristic, complemented
4#20275851C211yesmaximal, characteristic, complemented
5#20275711C211yesmaximal, characteristic
6#20275667C211yesmaximal, characteristic, complemented
7#20275397C211yesmaximal, characteristic, complemented
8#20275335C211yesmaximal, characteristic, complemented
9#20275323C211yesmaximal, characteristic, complemented
10#20275283C211yesmaximal, characteristic, complemented
11#20275063C211yesmaximal, characteristic, complemented
12#20275032C211yesmaximal, characteristic, complemented
13#20274801C211yesmaximal, characteristic, complemented
14C4×#13133138C211yesmaximal, characteristic, complemented
15C53×#2361C211yesmaximal, characteristic, complemented
16C22×#11719922C2211yescharacteristic
17C2×#13133217C2211yescharacteristic
18C2×#13133203—21no—
19C2×#13133191C2211yescharacteristic
20C2×#13133150C2211yescharacteristic
21C2×C4⋊#88322C2211yescharacteristic
22C2×#13133138C2211yescharacteristic
23C2×#13133138C2211yescharacteristic
24C2×#13133138C2211yescharacteristic
25C2×#13133137C2211yescharacteristic
26C2×#13133137C2211yescharacteristic
27C2×#13133137C2211yescharacteristic
28C2×C22⋊#88322C2211yescharacteristic
29C2×C22⋊#88322C2211yescharacteristic
30C2×C4×#88322C2211yescharacteristic
31#16810539—21no—
32#16810536—21no—
33#16810525C2211yescharacteristic
34#16810525C2211yescharacteristic
35#16810515—21no—
36#16810483C2211yescharacteristic
37C4×C4⋊Dic53C2211yescharacteristic
38#16810385C2211yescharacteristic
39#16810385C2211yescharacteristic
40#16810385C2211yescharacteristic
41#16810385C2211yescharacteristic
42#16810385C2211yescharacteristic
43#16810385C2211yescharacteristic
44#16810385C2211yescharacteristic
45#16810385C2211yescharacteristic
46#16810378C2211yescharacteristic
47#16810378C2211yescharacteristic
48C2×#121×C53C2211yescharacteristic
49C2×C4×D4×C53—21no—
50C2×C4×D4×C53C2211yescharacteristic
51C22×C4⋊C4×C53C2211yescharacteristic
52C53×#390C2211yescharacteristic
53C53×#389C2211yescharacteristic
54C53×#388—21no—
55C53×#386—21no—
56C53×#385—21no—
57C4×C4⋊C4×C53C2211yescharacteristic
58C4×C22⋊C4×C53C2211yescharacteristic
59C22×Dic106—21no—
60C22×D212C2311yescharacteristic
61C22×C22⋊D53—21no—
62C2×#11719922—22no—
63C2×#11719922—41no—
64C2×#11719922—41no—
65C22×#88322C2311yescharacteristic
66C22×#88322C2311yescharacteristic
67C22×#88322C2311yescharacteristic
68C22×#88322C2311yescharacteristic
69#13133217—22no—
70#13133217—41no—
71#13133203—44no—
72#13133191—22no—
73#13133191—41no—
74C2×C4⋊Dic53—21no—
75C2×C4⋊Dic53C2311yescharacteristic
76C2×C4⋊Dic53C2311yescharacteristic
77C2×C4⋊Dic53C2311yescharacteristic
78C2×C22⋊Dic53—21no—
79C2×#11719921—21no—
80C2×#11719921—21no—
81C2×#11719921—21no—
82C2×#11719921—21no—
83C2×#11719921—21no—
84C2×C4×Dic53—21no—
85#13133150—22no—
86C4⋊#88322—41no—
87#13133138—22no—
88#13133138—22no—
89#13133138—41no—
90#13133137—22no—
91#13133137—22no—
92#13133137—41no—
93C22⋊#88322—41no—
94C22⋊#88322—41no—
95C4×#88322—41no—
96#13133124—21no—
97#13133124—21no—
98C22×D4×C53—21no—
99C22×D4×C53C2311yescharacteristic
100C23×C4×C53—21no—
101C23×C4×C53—21no—
102C23×C4×C53C2311yescharacteristic
103#121×C53—22no—
104#121×C53—22no—
105C4×D4×C53—22no—
106C4×D4×C53—41no—
107C4×D4×C53—44no—
108C2×C4⋊C4×C53—21no—
109C2×C4⋊C4×C53—21no—
110C2×C4⋊C4×C53—22no—
111C2×C4⋊C4×C53—41no—
112C2×C4⋊C4×C53C2311yescharacteristic
113C2×C4⋊C4×C53C2311yescharacteristic
114C2×C4⋊C4×C53C2311yescharacteristic
115C2×C22⋊C4×C53—21no—
116C2×C22⋊C4×C53—21no—
117C2×C22⋊C4×C53—21no—
118C2×C22⋊C4×C53—21no—
119C2×C22⋊C4×C53D411yescharacteristic
120C2×C22⋊C4×C53D411yescharacteristic
121C2×C42×C53—21no—
122C2×C42×C53C2311yescharacteristic
123C2×C42×C53C2311yescharacteristic
124#95×C53—21no—
125#95×C53—21no—
126#95×C53D411yescharacteristic
127#95×C53D411yescharacteristic
128C24×C53—21no—
129C24×C53C2×D411yescharacteristic
130C23×D53—21no—
131C2×D4×C53—24no—
132C2×D4×C53—21no—
133C2×D4×C53—21no—
134C2×D4×C53—21no—
135C2×D4×C53—21no—
136C2×D4×C53—21no—
137C2×D4×C53—42no—
138C2×D4×C53—42no—
139C2×D4×C53#4112yes—
140C22×C4×C53—21no—
141C22×C4×C53—21no—
142C22×C4×C53—21no—
143C22×C4×C53—21no—
144C22×C4×C53—21no—
145C22×C4×C53—21no—
146C22×C4×C53—21no—
147C22×C4×C53—21no—
148C22×C4×C53—21no—
149C22×C4×C53—42no—
150C22×C4×C53—42no—
151C22×C4×C53—42no—
152C22×C4×C53—42no—
153C22×C4×C53—81no—
154C22×C4×C53—81no—
155C22×C4×C53C2×D411yescharacteristic
156C22×C4×C53C2×D411yescharacteristic
157C22×C4×C53C2×D411yescharacteristic
158C22×C4×C53C2×D411yescharacteristic
159C22×C4×C53C2×D411yescharacteristic
160C22×C4×C53C2411yescharacteristic
161C2×C22⋊D53—42no—
162C2×C22⋊D53—42no—
163C2×C22⋊D53—81no—
164C22×Dic53—21no—
165C22×Dic53—21no—
166C22×Dic53—21no—
167C2×D212—21no—
168C2×D212—21no—
169C2×D212—21no—
170C2×D212—21no—
171C2×D212—21no—
172C2×D212—21no—
173C2×Dic106—42no—
174C2×Dic106—42no—
175C2×Dic106—81no—
176C4⋊C4×C53—21no—
177C4⋊C4×C53—21no—
178C4⋊C4×C53—21no—
179C4⋊C4×C53—21no—
180C4⋊C4×C53—42no—
181C4⋊C4×C53—42no—
182C4⋊C4×C53#4112yes—
183C4⋊C4×C53#4112yes—
184C22⋊C4×C53—24no—
185C22⋊C4×C53—41no—
186C22⋊C4×C53—42no—
187C22⋊C4×C53—42no—
188C22⋊C4×C53—81no—
189C22⋊C4×C53D814yescomplemented
190C42×C53—21no—
191C42×C53—21no—
192C42×C53—21no—
193C42×C53—21no—
194C42×C53—42no—
195C22⋊Dic53—42no—
196#11719922—44no—
197#11719921—42no—
198#11719921—42no—
199#11719921—42no—
200#11719921—42no—
201#11719921—81no—
202C4⋊Dic53—21no—
203C4⋊Dic53—21no—
204C4⋊Dic53—21no—
205C4⋊Dic53—21no—
206C4⋊Dic53—21no—
207C4⋊Dic53—42no—
208C4⋊Dic53#4112yes—
209C4×Dic53—42no—
210C2×#88322—21no—
211C2×#88322—21no—
212C2×#88322—21no—
213C2×#88322—21no—
214C2×#88322—21no—
215C2×#88322—21no—
216C2×#88322—21no—
217C2×#88322—21no—
218C2×#88322—21no—
219C2×#88322—21no—
220C2×#88322—21no—
221C2×#88322—21no—
222C23×C53—21no—
223C23×C53—21no—
224C23×C53—21no—
225C23×C53—21no—
226C23×C53—21no—
227C23×C53—21no—
228C23×C53—22no—
229C23×C53—41no—
230C23×C53—41no—
231C23×C53—41no—
232C23×C53—41no—
233C23×C53—41no—
234C23×C53—41no—
235C23×C53C2×D812yes—
236C23×C53C22×D411yescharacteristic
237C22×D53—41no—
238C22×D53—41no—
239C22×D53—41no—
240C22×D53—41no—
241C22×D53—41no—
242C22×D53—41no—
243C22×D53—41no—
244D4×C53—22no—
245D4×C53—22no—
246D4×C53—48no—
247D4×C53—41no—
248D4×C53—41no—
249C2×C4×C53—21no—
250C2×C4×C53—21no—
251C2×C4×C53—21no—
252C2×C4×C53—21no—
253C2×C4×C53—21no—
254C2×C4×C53—22no—
255C2×C4×C53—21no—
256C2×C4×C53—21no—
257C2×C4×C53—22no—
258C2×C4×C53—21no—
259C2×C4×C53—21no—
260C2×C4×C53—21no—
261C2×C4×C53—21no—
262C2×C4×C53—21no—
263C2×C4×C53—21no—
264C2×C4×C53—41no—
265C2×C4×C53—41no—
266C2×C4×C53—41no—
267C2×C4×C53—41no—
268C2×C4×C53—41no—
269C2×C4×C53—41no—
270C2×C4×C53—41no—
271C2×C4×C53—41no—
272C2×C4×C53—41no—
273C2×C4×C53—41no—
274C2×C4×C53—41no—
275C2×C4×C53—84no—
276C2×C4×C53—84no—
277C2×C4×C53C2×D812yes—
278C2×C4×C53C2×D812yes—
279C2×C4×C53C2×#4111yescharacteristic
280C2×C4×C53C2×#4111yescharacteristic
281C2×C4×C53C2×#4111yescharacteristic
282C2×C4×C53C2×#4111yescharacteristic
283C2×C4×C53H(5,𝔽2)11yescharacteristic
284C2×C4×C53H(5,𝔽2)11yescharacteristic
285C22⋊D53—84no—
286C2×Dic53—22no—
287C2×Dic53—41no—
288C2×Dic53—41no—
289C2×Dic53—41no—
290C2×Dic53—41no—
291C2×Dic53—41no—
292C2×Dic53—41no—
293C2×Dic53—41no—
294C2×Dic53—41no—
295D212—41no—
296D212—41no—
297D212—41no—
298D212—41no—
299Dic106—84no—
300#88322—41no—
301#88322—41no—
302#88322—41no—
303#88322—41no—
304#26720—531nomaximal, Sylow
305C22×C53—22no—
306C22×C53—22no—
307C22×C53—22no—
308C22×C53—41no—
309C22×C53—41no—
310C22×C53—41no—
311C22×C53—41no—
312C22×C53—42no—
313C22×C53—42no—
314C22×C53—42no—
315C22×C53—81no—
316C22×C53—81no—
317C22×C53—81no—
318C22×C53—81no—
319C22×C53#52511yescharacteristic
320C22×C53#54611yescharacteristic
321C22×C53#54611yescharacteristic
322C22×C53C22×D811yescharacteristic
323C22×C53#57511yescharacteristic
324C22×C53#57711yescharacteristic
325C22×C53#57711yescharacteristic
326C2×D53—81no—
327C2×D53—81no—
328C2×D53—81no—
329C2×D53—81no—
330C2×D53—81no—
331C2×D53—81no—
332C2×D53—81no—
333C4×C53—22no—
334C4×C53—22no—
335C4×C53—42no—
336C4×C53—41no—
337C4×C53—42no—
338C4×C53—41no—
339C4×C53—41no—
340C4×C53—81no—
341C4×C53#52911yescharacteristic
342C4×C53#53811yescharacteristic
343C4×C53#55511yescharacteristic
344C4×C53#55911yescharacteristic
345Dic53—42no—
346Dic53—81no—
347Dic53—81no—
348#2491—531no—
349#2361D5311yescharacteristic, complemented
350#2054—531no—
351#2033—531no—
352#2023—531no—
353#1999—531no—
354#1988—531no—
355#1934—531no—
356#1925—531no—
357#1923—531no—
358#1918—531no—
359#1879—531no—
360#1874—531no—
361#1823—531no—
362C4×#102—531no—
363C2×C53—42no—
364C2×C53—82no—
365C2×C53#245911yescharacteristic
366C2×C53#310011yescharacteristic
367C2×C53#312511yescharacteristic
368C2×C53#329411yescharacteristic
369C2×C53#329411yescharacteristic
370C2×C53#332111yescharacteristic
371C2×C53#332611yescharacteristic
372D53—161no—
373C22×D8—531no—
374C2×C4⋊Q8—531no—
375C2×#124—1061no—
376C2×#121—531no—
377C2×#121C2×D5311yescharacteristic
378C2×C4×D4—21no—
379C2×C4×D4C2×D5311yescharacteristic
380C22×C4⋊C4C2×D5311yescharacteristic
381C2×#107—531no—
382C2×C4⋊C8—531no—
383C2×#102—531no—
384C2×#102—531no—
385C2×#102—531no—
386C2×#102—531no—
387C2×#102—531no—
388C2×#102—531no—
389C2×C22⋊C8—531no—
390C2×C22⋊C8—531no—
391C2×C4×C8—531no—
392#394—1061no—
393#393—1061no—
394#390—531no—
395#390—531no—
396#390C2×D5311yescharacteristic
397#389C2×D5311yescharacteristic
398#388—21no—
399#388—1061no—
400#386—21no—
401#385—21no—
402#380—531no—
403C4×C4⋊C4—531no—
404C4×C4⋊C4C2×D5311yescharacteristic
405C4×C22⋊C4C2×D5311yescharacteristic
406#340—531no—
407#340—531no—
408#340—531no—
409#340—531no—
410#340—531no—
411#340—531no—
412#340—531no—
413#340—531no—
414#336—531no—
415#336—531no—
416C53#2672011yescharacteristic, complemented, Sylow
417C22×Q8—1061no—
418C22×D4—21no—
419C22×D4—531no—
420C22×D4—1061no—
421C22×D4C22×D5311yescharacteristic
422C23×C4—21no—
423C23×C4—21no—
424C23×C4C22×D5311yescharacteristic
425C2×D8—1062no—
426C2×D8—2121no—
427C2×D8—2121no—
428C22×C8—531no—
429C22×C8—531no—
430C22×C8—531no—
431C22×C8—531no—
432C4⋊Q8—1062no—
433C4⋊Q8—2121no—
434#124—2124no—
435#121—22no—
436#121—22no—
437#121—1062no—
438#121—2121no—
439C4×D4—22no—
440C4×D4—41no—
441C4×D4—44no—
442C2×C4⋊C4—22no—
443C2×C4⋊C4—21no—
444C2×C4⋊C4—21no—
445C2×C4⋊C4—41no—
446C2×C4⋊C4—531no—
447C2×C4⋊C4—531no—
448C2×C4⋊C4—531no—
449C2×C4⋊C4—1061no—
450C2×C4⋊C4C22×D5311yescharacteristic
451C2×C4⋊C4C22×D5311yescharacteristic
452C2×C4⋊C4C22×D5311yescharacteristic
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—21no—
456C2×C22⋊C4—21no—
457C2×C22⋊C4—1061no—
458C2×C22⋊C4—1061no—
459C2×C22⋊C4—1061no—
460C2×C22⋊C4—1061no—
461C2×C22⋊C4—1061no—
462C2×C22⋊C4—1061no—
463C2×C22⋊C4C22⋊D5311yescharacteristic
464C2×C22⋊C4C22⋊D5311yescharacteristic
465C2×C42—21no—
466C2×C42—1061no—
467C2×C42C22×D5311yescharacteristic
468C2×C42C22×D5311yescharacteristic
469#107—1062no—
470C4⋊C8—2121no—
471#102—1062no—
472#102—1062no—
473#102—1062no—
474#102—1062no—
475#102—2121no—
476#102—2121no—
477C22⋊C8—2121no—
478C22⋊C8—2121no—
479C4×C8—2121no—
480#95—21no—
481#95—21no—
482#95—1061no—
483#95—1061no—
484#95C22⋊D5311yescharacteristic
485#95C22⋊D5311yescharacteristic
486C24—21no—
487C24—1061no—
488C24C2×C22⋊D5311yescharacteristic
489C2×Q8—4241no—
490C2×Q8—2122no—
491C2×Q8—2122no—
492C2×D4—24no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—42no—
499C2×D4—42no—
500C2×D4—1061no—
501C2×D4—1061no—
502C2×D4—1061no—
503C2×D4—1061no—
504C2×D4—1061no—
505C2×D4—1061no—
506C2×D4—4241no—
507C2×D4—2122no—
508C2×D4—2122no—
509C2×D4#1171994512yes—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—81no—
524C22×C4—81no—
525C22×C4—1061no—
526C22×C4—1061no—
527C22×C4—1061no—
528C22×C4C2×C22⋊D5311yescharacteristic
529C22×C4C2×C22⋊D5311yescharacteristic
530C22×C4C2×C22⋊D5311yescharacteristic
531C22×C4C2×C22⋊D5311yescharacteristic
532C22×C4C2×C22⋊D5311yescharacteristic
533C22×C4C23×D5311yescharacteristic
534D8—2124no—
535C2×C8—1061no—
536C2×C8—1061no—
537C2×C8—1061no—
538C2×C8—1061no—
539C2×C8—1061no—
540C2×C8—1061no—
541C2×C8—1061no—
542C2×C8—1061no—
543C2×C8—1061no—
544C2×C8—1061no—
545C2×C8—1061no—
546C2×C8—1061no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C4⋊C4—532no—
554C4⋊C4—1061no—
555C4⋊C4—1061no—
556C4⋊C4—1061no—
557C4⋊C4—1061no—
558C4⋊C4—1061no—
559C4⋊C4—2122no—
560C4⋊C4#1171994512yes—
561C4⋊C4#1171994712yes—
562C22⋊C4—24no—
563C22⋊C4—41no—
564C22⋊C4—42no—
565C22⋊C4—42no—
566C22⋊C4—81no—
567C22⋊C4—4241no—
568C22⋊C4—2122no—
569C22⋊C4—2122no—
570C22⋊C4—2122no—
571C22⋊C4—2122no—
572C22⋊C4—2122no—
573C22⋊C4#1171992214yescomplemented
574C42—21no—
575C42—21no—
576C42—21no—
577C42—21no—
578C42—42no—
579C42—2122no—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—22no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—2121no—
594C23—2121no—
595C23—2121no—
596C23—2121no—
597C23—2121no—
598C23—2121no—
599C23—2121no—
600C23C2×#1171992212yes—
601C23C22×C22⋊D5311yescharacteristic
602Q8—4244no—
603D4—22no—
604D4—22no—
605D4—48no—
606D4—41no—
607D4—41no—
608D4—4244no—
609D4—2121no—
610D4—2121no—
611D4—2121no—
612D4—2121no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—84no—
640C2×C4—84no—
641C2×C4—1062no—
642C2×C4—2121no—
643C2×C4—2121no—
644C2×C4—2121no—
645C2×C4—2121no—
646C2×C4—2121no—
647C2×C4—2121no—
648C2×C4—2121no—
649C2×C4—2121no—
650C2×C4C2×#1171992212yes—
651C2×C4C2×#1171992212yes—
652C2×C4#41×D5311yescharacteristic
653C2×C4C2×#1171994711yescharacteristic
654C2×C4C2×#1171994511yescharacteristic
655C2×C4C2×#1171994511yescharacteristic
656C2×C4#1313326211yescharacteristic
657C2×C4#1313326311yescharacteristic
658C8—2121no—
659C8—2121no—
660C8—2121no—
661C8—2121no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—41no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—42no—
670C22—42no—
671C22—42no—
672C22—81no—
673C22—81no—
674C22—81no—
675C22—81no—
676C22—4241no—
677C22—4241no—
678C22—4241no—
679C22—4241no—
680C22—4241no—
681C22—4241no—
682C22—4241no—
683C22#1681113411yescharacteristic
684C22#1681126111yescharacteristic
685C22#1681126711yescharacteristic
686C22C22×#1171992211yescharacteristic
687C22#1681142111yescharacteristic
688C22#1681143111yescharacteristic
689C22#1681143411yescharacteristic
690C4—22no—
691C4—22no—
692C4—42no—
693C4—42no—
694C4—41no—
695C4—41no—
696C4—41no—
697C4—81no—
698C4—4241no—
699C4—4241no—
700C4—2122no—
701C4#1681115311yescharacteristic
702C4#1681120611yescharacteristic
703C4#1681133811yescharacteristic
704C4#1681135611yescharacteristic
705C2—42no—
706C2—82no—
707C2—8481no—
708C2#2027864611yescharacteristic
709C2#2028471511yescharacteristic
710C2#2028499211yescharacteristic
711C2#2028652211yescharacteristic
712C2#2028652811yescharacteristic
713C2#2028690111yescharacteristic
714C2#2028696211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutator, cosocleC22×C4×C53C24
FrattiniC22×C4C23×D53
FittingC53×#2361C2
socleC23×C53C22×D4
prime radical#20275711C2
hypercenter#2361D53
hypocenterC53#26720
LCSG ▷ C22×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2361

Complements

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

NH ≅ G/Ntype
1. #20279078C2semidirect
2. #20276025C2semidirect
3. #20275894C2semidirect
4. #20275851C2semidirect
6. #20275667C2semidirect
7. #20275397C2semidirect
8. #20275335C2semidirect
9. #20275323C2semidirect
10. #20275283C2semidirect
11. #20275063C2semidirect
12. #20275032C2semidirect
13. #20274801C2semidirect
14. C4×#13133138C2semidirect
15. C53×#2361C2semidirect
189. C22⋊C4×C53D8semidirect
349. #2361D53semidirect
416. C53#26720semidirect
573. C22⋊C4#11719922semidirect

Maximal subgroups

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

subgroupindex
#202790782
#202760252
#202758942
#202758512
#202757112
#202756672
#202753972
#202753352
#202753232
#202752832
#202750632
#202750322
#202748012
C4×#131331382
C53×#23612
#2672053