Finite Group Databasebeta

← #28254669

Subgroups — #28254669

Order 13568.

2394 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×#16811134C212yesmaximal, complemented
2#20285508C214yesmaximal, complemented
3#20285498C214yesmaximal, complemented
4#20285490C211yesmaximal, characteristic, complemented
5#20285482C214yesmaximal, complemented
6#20285473C212yesmaximal, complemented
7#20285466C211yesmaximal, characteristic, complemented
8#20284630C214yesmaximal, complemented
9#20284296C214yesmaximal, complemented
10#20283937C214yesmaximal, complemented
11C22×C22⋊C8×C53C211yesmaximal, characteristic, complemented
12C22×#11719945C2212yescomplemented
13C2×#13133239C2214yescomplemented
14#16811134—22no—
15#16811134—22no—
16#16811134—22no—
17#16811134—22no—
18#16811134C2214yes—
19#16811134C2214yes—
20#16811134C2214yescomplemented
21#16811134C2214yescomplemented
22C2×#13133200—22no—
23C2×#13133196C2212yes—
24C2×#13133196C2212yescomplemented
25C2×#13133191C2212yes—
26C2×#13133191C2212yescomplemented
27C2×#13133186—22no—
28C2×C4×C22⋊D53—22no—
29C2×C4×C22⋊D53—22no—
30C2×#13133176C2212yescomplemented
31#16810965C2218yescomplemented
32#16810959C2214yescomplemented
33#16810954C2214yescomplemented
34#16810948C2218yescomplemented
35#16810942C2214yescomplemented
36#16810937C2214yescomplemented
37#16810864C2214yescomplemented
38#16810864C2214yescomplemented
39#16810859C2214yescomplemented
40#16810859C2214yescomplemented
41#16810852C2218yescomplemented
42#16810852C2218yescomplemented
43#16810787C2218yescomplemented
44#16810781C2214yescomplemented
45#16810776C2214yescomplemented
46#16810770C2218yescomplemented
47#16810764C2214yescomplemented
48#16810759C2214yescomplemented
49#16810661C2214yescomplemented
50#16810620C2218yescomplemented
51C24×C4×C53C2211yescharacteristic
52C23×C8×C53C2212yescomplemented
53C2×C22⋊C8×C53C2211yescharacteristic
54C2×C22⋊C8×C53C2211yescharacteristic
55C2×C22⋊C8×C53C2214yescomplemented
56C2×C22⋊C8×C53C2214yescomplemented
57C2×C22⋊C8×C53C2212yescomplemented
58C2×#11719945—22no—
59C2×#11719945—22no—
60C2×#11719945—48no—
61C2×#11719945C2314yes—
62C2×#11719945C2314yes—
63C22×Dic106C2312yes—
64C22×D212C2312yes—
65C22×C22⋊D53—22no—
66C22×C22⋊D53—22no—
67C22×C22⋊D53—22no—
68C22×C4×D53—22no—
69#13133239—48no—
70C2×Dic212C2314yescomplemented
71C2×#11719913C2318yescomplemented
72C2×D424C2314yescomplemented
73#13133200—24no—
74#13133200—24no—
75#13133200—24no—
76#13133200—24no—
77#13133196—22no—
78#13133196—22no—
79#13133196—22no—
80#13133196—22no—
81#13133196C2314yes—
82#13133196C2314yes—
83#13133196C2314yes—
84#13133196C2314yes—
85#13133191—22no—
86#13133191—22no—
87#13133191—22no—
88#13133191—22no—
89#13133191C2314yes—
90#13133191C2314yes—
91#13133191C2314yes—
92#13133191C2314yes—
93#13133186—24no—
94#13133186—24no—
95#13133186—24no—
96#13133186—24no—
97C4×C22⋊D53—24no—
98C4×C22⋊D53—24no—
99C4×C22⋊D53—24no—
100C4×C22⋊D53—24no—
101C4×C22⋊D53—24no—
102C4×C22⋊D53—24no—
103C4×C22⋊D53—24no—
104C4×C22⋊D53—24no—
105#13133176—22no—
106#13133176—22no—
107#13133176C2314yes—
108#13133176C2314yes—
109C2×C4⋊Dic53C2312yes—
110C2×C4⋊Dic53C2312yes—
111C2×#11719919—22no—
112C2×#11719919—22no—
113C2×C22⋊Dic53—22no—
114C2×C22⋊Dic53—22no—
115C2×C22⋊Dic53—22no—
116C2×#11719921—22no—
117C2×#11719921—22no—
118C2×C4×Dic53—22no—
119#13133151C2314yescomplemented
120#13133151C2314yescomplemented
121#13133149C2318yescomplemented
122#13133142C2318yescomplemented
123#13133142C2318yescomplemented
124#13133139C2318yescomplemented
125#13133139C2318yescomplemented
126C25×C53D411yescharacteristic
127C23×C4×C53—44no—
128C23×C4×C53D411yescharacteristic
129C23×C4×C53D412yes—
130C23×C4×C53D412yes—
131C23×C4×C53D411yescharacteristic
132C23×C4×C53D411yescharacteristic
133C23×C4×C53C2312yes—
134C23×C4×C53C2311yescharacteristic
135C23×C4×C53C2311yescharacteristic
136C23×C4×C53C2312yes—
137C23×C4×C53C2311yescharacteristic
138C22×C8×C53—44no—
139C22×C8×C53C2314yes—
140C22×C8×C53C2312yes—
141C22×C8×C53C2314yes—
142C22×C8×C53C2312yes—
143C22⋊C8×C53C2314yes—
144C22⋊C8×C53C2314yes—
145C22⋊C8×C53C2318yes—
146C24×C53—24no—
147C24×C53—42no—
148C24×C53—42no—
149C24×C53C2×D411yescharacteristic
150C24×C53C2×D412yes—
151C24×C53C2×D412yes—
152C24×C53C2×D411yescharacteristic
153C24×C53C2×D411yescharacteristic
154C23×D53—22no—
155C22×C4×C53—24no—
156C22×C4×C53—28no—
157C22×C4×C53—42no—
158C22×C4×C53—44no—
159C22×C4×C53—42no—
160C22×C4×C53—42no—
161C22×C4×C53—44no—
162C22×C4×C53—42no—
163C22×C4×C53—42no—
164C22×C4×C53—44no—
165C22×C4×C53C2×D412yes—
166C22×C4×C53C2×D412yes—
167C22×C4×C53C2×D412yes—
168C22×C4×C53C2×D411yescharacteristic
169C22×C4×C53C2×D411yescharacteristic
170C22×C4×C53C2×D411yescharacteristic
171C22×C4×C53C2×D412yes—
172C22×C4×C53C2×D412yes—
173C22×C4×C53C2×D411yescharacteristic
174C22×C4×C53C2×D412yes—
175C22×C4×C53C2×D412yes—
176C22×C4×C53C2×D411yescharacteristic
177C22×C4×C53C2×D412yes—
178C22×C4×C53C2412yes—
179C22×C4×C53C2412yes—
180C22×C4×C53C2411yescharacteristic
181C22×C4×C53C2411yescharacteristic
182C22×C4×C53C2411yescharacteristic
183C2×C22⋊D53—24no—
184C2×C22⋊D53—24no—
185C2×C22⋊D53—24no—
186C2×C22⋊D53—24no—
187C2×C22⋊D53—24no—
188C2×C22⋊D53—24no—
189C2×C22⋊D53—48no—
190C2×C22⋊D53—48no—
191C2×C22⋊D53—48no—
192C22×Dic53—22no—
193C22×Dic53—22no—
194C22×Dic53—22no—
195#11719945—216no—
196#11719945—48no—
197#11719945—48no—
198#11719945—48no—
199C2×D212—22no—
200C2×D212—44no—
201C2×D212C2414yes—
202C2×C4×D53—24no—
203C2×C4×D53—24no—
204C2×C4×D53—48no—
205C2×Dic106—22no—
206C2×Dic106—44no—
207C2×Dic106C2414yes—
208C2×C8×C53—28no—
209C2×C8×C53—42no—
210C2×C8×C53—44no—
211C2×C8×C53—42no—
212C2×C8×C53C2414yes—
213C2×C8×C53C2414yes—
214C22⋊Dic53—24no—
215C22⋊Dic53—24no—
216C22⋊Dic53—24no—
217C22⋊Dic53—24no—
218C22⋊Dic53—24no—
219C22⋊Dic53—24no—
220#11719921—24no—
221#11719921—24no—
222#11719921—24no—
223#11719921—24no—
224C4⋊Dic53—22no—
225C4⋊Dic53—22no—
226C4⋊Dic53C2414yes—
227C4⋊Dic53C2414yes—
228#11719919—24no—
229#11719919—24no—
230#11719919—24no—
231#11719919—24no—
232C4×Dic53—24no—
233C4×Dic53—24no—
234Dic212—44no—
235D424—44no—
236#11719913—48no—
237C23×C53—22no—
238C23×C53—22no—
239C23×C53—22no—
240C23×C53—24no—
241C23×C53—24no—
242C23×C53—24no—
243C23×C53—22no—
244C23×C53—24no—
245C23×C53—41no—
246C23×C53—42no—
247C23×C53—41no—
248C23×C53—41no—
249C23×C53—42no—
250C23×C53—41no—
251C23×C53—416no—
252C23×C53#13514yescomplemented
253C23×C53C22×D412yes—
254C23×C53C22×D411yescharacteristic
255C23×C53C22×D412yes—
256C23×C53C22×D411yescharacteristic
257C23×C53C22×D411yescharacteristic
258C22×D53—24no—
259C22×D53—44no—
260C22×D53—44no—
261C22×D53—44no—
262C2×C4×C53—24no—
263C2×C4×C53—22no—
264C2×C4×C53—24no—
265C2×C4×C53—24no—
266C2×C4×C53—22no—
267C2×C4×C53—22no—
268C2×C4×C53—24no—
269C2×C4×C53—24no—
270C2×C4×C53—22no—
271C2×C4×C53—22no—
272C2×C4×C53—41no—
273C2×C4×C53—42no—
274C2×C4×C53—42no—
275C2×C4×C53—42no—
276C2×C4×C53—41no—
277C2×C4×C53—42no—
278C2×C4×C53—42no—
279C2×C4×C53C22×D412yes—
280C2×C4×C53C22×D412yes—
281C2×C4×C53C22×D411yescharacteristic
282C2×C4×C53C22×D411yescharacteristic
283C2×C4×C53C22×D411yescharacteristic
284C2×C4×C53H(5,𝔽2)14yes—
285C2×C4×C53C2511yescharacteristic
286C22⋊D53—48no—
287C22⋊D53—48no—
288C22⋊D53—48no—
289C22⋊D53—48no—
290C22⋊D53—48no—
291C22⋊D53—48no—
292C2×Dic53—24no—
293C2×Dic53—24no—
294C2×Dic53—24no—
295C2×Dic53—44no—
296C2×Dic53—44no—
297C2×Dic53—44no—
298D212—28no—
299D212—44no—
300C4×D53—48no—
301C4×D53—48no—
302Dic106—28no—
303Dic106—44no—
304C8×C53—24no—
305C8×C53—24no—
306#60734—531nomaximal, Sylow
307C22×C53—28no—
308C22×C53—22no—
309C22×C53—21no—
310C22×C53—21no—
311C22×C53—21no—
312C22×C53—21no—
313C22×C53—22no—
314C22×C53—21no—
315C22×C53—21no—
316C22×C53—22no—
317C22×C53—22no—
318C22×C53—22no—
319C22×C53—44no—
320C22×C53—48no—
321C22×C53—48no—
322C22×C53—44no—
323C22×C53#53412yes—
324C22×C53C2×#13514yes—
325C22×C53C2×#13512yes—
326C22×C53#57512yes—
327C22×C53C23×D411yescharacteristic
328C2×D53—44no—
329C2×D53—44no—
330C2×D53—44no—
331C2×D53—88no—
332C4×C53—22no—
333C4×C53—22no—
334C4×C53—21no—
335C4×C53—21no—
336C4×C53#53412yes—
337C4×C53C2×H(5,𝔽2)12yes—
338Dic53—44no—
339Dic53—44no—
340Dic53—44no—
341C2×#525—532no—
342#3191—534no—
343#3190—534no—
344#3189—531no—
345#3188—534no—
346#3187—532no—
347#3186—531no—
348#3091—534no—
349#3050—534no—
350#3002—534no—
351C22×C22⋊C8D5311yescharacteristic, complemented
352C2×C53—24no—
353C2×C53—22no—
354C2×C53—22no—
355C2×C53—22no—
356C2×C53—42no—
357C2×C53C2×#53411yescharacteristic
358C2×C53C22×#13511yescharacteristic
359C2×C53C2×#57511yescharacteristic
360D53—84no—
361C22×#41—532no—
362C24×C4C2×D5311yescharacteristic
363C2×#135—534no—
364C23×C8C2×D5312yescomplemented
365#525—534no—
366#525—534no—
367#525—534no—
368#525—534no—
369#525—1062no—
370#525—1062no—
371#525—1062no—
372#525—1062no—
373C2×#123—1062no—
374C2×C22⋊Q8—532no—
375C2×C22⋊Q8—532no—
376C2×#121—532no—
377C2×#121—532no—
378C2×#120—1062no—
379C2×C4×D4—1062no—
380C2×C4×D4—1062no—
381C2×#117—532no—
382#485—538no—
383#484—534no—
384#483—534no—
385#482—538no—
386#481—534no—
387#480—534no—
388#467—534no—
389#467—534no—
390#466—534no—
391#466—534no—
392#465—538no—
393#465—538no—
394#452—538no—
395#451—534no—
396#450—534no—
397#449—538no—
398#448—534no—
399#447—534no—
400#427—534no—
401#416—538no—
402C2×C22⋊C8C2×D5311yescharacteristic
403C2×C22⋊C8C2×D5311yescharacteristic
404C2×C22⋊C8C2×D5314yescomplemented
405C2×C22⋊C8C2×D5314yescomplemented
406C2×C22⋊C8C2×D5312yescomplemented
407C53#6073411yescharacteristic, complemented, Sylow
408C25D21211yescharacteristic
409C2×#41—534no—
410C2×#41—534no—
411C2×#41—1062no—
412C2×#41—1062no—
413C2×#41—2128no—
414C22×Q8—532no—
415C22×D4—532no—
416C22×D4—1062no—
417C22×D4—1062no—
418C22×D4—1062no—
419C23×C4—44no—
420C23×C4—1062no—
421C23×C4D21211yescharacteristic
422C23×C4D21212yes—
423C23×C4D21212yes—
424C23×C4D21211yescharacteristic
425C23×C4D21211yescharacteristic
426C23×C4C22×D5312yes—
427C23×C4C22×D5311yescharacteristic
428C23×C4C22×D5311yescharacteristic
429C23×C4C22×D5312yes—
430C23×C4C22×D5311yescharacteristic
431#135—2128no—
432C2×Q16—534no—
433C2×SD16—538no—
434C2×D8—534no—
435C22×C8—44no—
436C22×C8C22×D5314yes—
437C22×C8C22×D5312yes—
438C22×C8C22×D5312yes—
439C22×C8C22×D5314yes—
440#123—1064no—
441#123—1064no—
442#123—1064no—
443#123—1064no—
444C22⋊Q8—534no—
445C22⋊Q8—534no—
446C22⋊Q8—534no—
447C22⋊Q8—534no—
448C22⋊Q8—1062no—
449C22⋊Q8—1062no—
450C22⋊Q8—1062no—
451C22⋊Q8—1062no—
452#121—534no—
453#121—534no—
454#121—534no—
455#121—534no—
456#121—1062no—
457#121—1062no—
458#121—1062no—
459#121—1062no—
460#120—1064no—
461#120—1064no—
462#120—1064no—
463#120—1064no—
464C4×D4—1064no—
465C4×D4—1064no—
466C4×D4—1064no—
467C4×D4—1064no—
468C4×D4—1064no—
469C4×D4—1064no—
470C4×D4—1064no—
471C4×D4—1064no—
472#117—534no—
473#117—534no—
474#117—1062no—
475#117—1062no—
476C2×C4⋊C4—532no—
477C2×C4⋊C4—532no—
478C2×C4⋊C4—1062no—
479C2×C4⋊C4—1062no—
480C2×C22⋊C4—1062no—
481C2×C22⋊C4—1062no—
482C2×C22⋊C4—1062no—
483C2×C22⋊C4—1062no—
484C2×C22⋊C4—1062no—
485C2×C42—1062no—
486#107—534no—
487#107—534no—
488#106—538no—
489#103—538no—
490#103—538no—
491#102—538no—
492#102—538no—
493C22⋊C8C22×D5314yes—
494C22⋊C8C22×D5314yes—
495C22⋊C8C22×D5318yes—
496C24—24no—
497C24—42no—
498C24—42no—
499C24—1062no—
500C24C2×D21211yescharacteristic
501C24C2×D21212yes—
502C24C2×D21212yes—
503C24C2×D21211yescharacteristic
504C24C2×D21211yescharacteristic
505#41—10616no—
506#41—2128no—
507#41—2128no—
508#41—2128no—
509C2×Q8—534no—
510C2×Q8—1062no—
511C2×Q8—2124no—
512C2×D4—534no—
513C2×D4—1064no—
514C2×D4—1064no—
515C2×D4—1064no—
516C2×D4—1064no—
517C2×D4—1064no—
518C2×D4—1064no—
519C2×D4—1062no—
520C2×D4—2124no—
521C2×D4—2128no—
522C2×D4—2128no—
523C2×D4—2128no—
524C22×C4—24no—
525C22×C4—28no—
526C22×C4—42no—
527C22×C4—44no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—44no—
531C22×C4—42no—
532C22×C4—44no—
533C22×C4—42no—
534C22×C4—1062no—
535C22×C4—1062no—
536C22×C4—1062no—
537C22×C4—1064no—
538C22×C4—1064no—
539C22×C4—2128no—
540C22×C4C2×D21212yes—
541C22×C4C2×D21211yescharacteristic
542C22×C4C2×D21212yes—
543C22×C4C2×D21212yes—
544C22×C4C2×D21211yescharacteristic
545C22×C4C2×D21211yescharacteristic
546C22×C4C2×D21212yes—
547C22×C4C2×D21212yes—
548C22×C4C2×D21211yescharacteristic
549C22×C4C2×D21212yes—
550C22×C4C2×D21212yes—
551C22×C4C2×D21211yescharacteristic
552C22×C4C2×D21212yes—
553C22×C4C23×D5312yes—
554C22×C4C23×D5312yes—
555C22×C4C23×D5311yescharacteristic
556C22×C4C23×D5311yescharacteristic
557C22×C4C23×D5311yescharacteristic
558Q16—2124no—
559SD16—2128no—
560D8—2124no—
561C2×C8—28no—
562C2×C8—42no—
563C2×C8—44no—
564C2×C8—42no—
565C2×C8C23×D5314yes—
566C2×C8C23×D5314yes—
567C4⋊C4—534no—
568C4⋊C4—534no—
569C4⋊C4—1062no—
570C4⋊C4—1062no—
571C4⋊C4—1064no—
572C4⋊C4—1064no—
573C4⋊C4—1064no—
574C4⋊C4—1064no—
575C22⋊C4—1064no—
576C22⋊C4—1064no—
577C22⋊C4—1064no—
578C22⋊C4—1064no—
579C22⋊C4—1064no—
580C22⋊C4—1064no—
581C22⋊C4—1064no—
582C22⋊C4—1064no—
583C22⋊C4—1064no—
584C22⋊C4—1064no—
585C42—1064no—
586C42—1064no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—24no—
591C23—24no—
592C23—22no—
593C23—24no—
594C23—24no—
595C23—41no—
596C23—42no—
597C23—41no—
598C23—41no—
599C23—42no—
600C23—41no—
601C23—416no—
602C23—1064no—
603C23—2124no—
604C23—2124no—
605C23—2124no—
606C23#1313323914yescomplemented
607C23C22×D21212yes—
608C23C22×D21211yescharacteristic
609C23C22×D21212yes—
610C23C22×D21211yescharacteristic
611C23C22×D21211yescharacteristic
612Q8—1068no—
613Q8—2124no—
614D4—1068no—
615D4—2124no—
616D4—2128no—
617D4—2128no—
618D4—2128no—
619D4—2128no—
620D4—2128no—
621D4—2128no—
622C2×C4—22no—
623C2×C4—24no—
624C2×C4—24no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—41no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—1064no—
640C2×C4—1064no—
641C2×C4—1064no—
642C2×C4—2128no—
643C2×C4—2124no—
644C2×C4—2124no—
645C2×C4—2124no—
646C2×C4—2128no—
647C2×C4C22×D21212yes—
648C2×C4C22×D21211yescharacteristic
649C2×C4C22×D21211yescharacteristic
650C2×C4C22×D21212yes—
651C2×C4C22×D21211yescharacteristic
652C2×C4#1313326214yes—
653C2×C4C24×D5311yescharacteristic
654C8—24no—
655C8—24no—
656C22—28no—
657C22—22no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—22no—
663C22—21no—
664C22—21no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—44no—
669C22—48no—
670C22—48no—
671C22—44no—
672C22—4248no—
673C22—2124no—
674C22—2124no—
675C22—2124no—
676C22#1681118512yes—
677C22C2×#1313323914yes—
678C22C2×#1313323912yes—
679C22#1681142312yes—
680C22C23×D21211yescharacteristic
681C4—22no—
682C4—22no—
683C4—21no—
684C4—21no—
685C4—2124no—
686C4—2124no—
687C4—2124no—
688C4#1681118512yes—
689C4C2×#1313326212yes—
690C2—22no—
691C2—22no—
692C2—22no—
693C2—24no—
694C2—42no—
695C2—4244no—
696C2C2×#1681118511yescharacteristic
697C2C22×#1313323911yescharacteristic
698C2C2×#1681142311yescharacteristic
subgroupG/H
centerC2×C4C22×D212
commutator, cosocleC2×C4×C53C25
FrattiniC2×C4C24×D53
FittingC22×C22⋊C8×C53C2
socleC22×C53C23×D4
hypercenterC22×C22⋊C8D53
hypocenterC53#60734
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C2×C4 ◁ C24×C4 ◁ C22×C22⋊C8

Complements

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

NH ≅ G/Ntype
1. C2×#16811134C2semidirect
2. #20285508C2semidirect
3. #20285498C2semidirect
4. #20285490C2semidirect
5. #20285482C2semidirect
6. #20285473C2semidirect
7. #20285466C2semidirect
8. #20284630C2semidirect
9. #20284296C2semidirect
10. #20283937C2semidirect
11. C22×C22⋊C8×C53C2semidirect
12. C22×#11719945C22semidirect
13. C2×#13133239C22semidirect
20. #16811134C22semidirect
21. #16811134C22semidirect
24. C2×#13133196C22semidirect
26. C2×#13133191C22semidirect
30. C2×#13133176C22semidirect
31. #16810965C22semidirect
32. #16810959C22semidirect
33. #16810954C22semidirect
34. #16810948C22semidirect
35. #16810942C22semidirect
36. #16810937C22semidirect
37. #16810864C22semidirect
38. #16810864C22semidirect
39. #16810859C22semidirect
40. #16810859C22semidirect
41. #16810852C22semidirect
42. #16810852C22semidirect
43. #16810787C22semidirect
44. #16810781C22semidirect
45. #16810776C22semidirect
46. #16810770C22semidirect
47. #16810764C22semidirect
48. #16810759C22semidirect
49. #16810661C22semidirect
50. #16810620C22semidirect
52. C23×C8×C53C22semidirect
55. C2×C22⋊C8×C53C22semidirect
56. C2×C22⋊C8×C53C22semidirect
57. C2×C22⋊C8×C53C22semidirect
70. C2×Dic212C23semidirect
71. C2×#11719913C23semidirect
72. C2×D424C23semidirect
119. #13133151C23semidirect
120. #13133151C23semidirect
121. #13133149C23semidirect
122. #13133142C23semidirect
123. #13133142C23semidirect
124. #13133139C23semidirect
125. #13133139C23semidirect
252. C23×C53#135semidirect
351. C22×C22⋊C8D53semidirect
364. C23×C8C2×D53semidirect
404. C2×C22⋊C8C2×D53semidirect
405. C2×C22⋊C8C2×D53semidirect
406. C2×C22⋊C8C2×D53semidirect
407. C53#60734semidirect
606. C23#13133239semidirect

Maximal subgroups

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

subgroupindex
C2×#168111342
#202855082
#202854982
#202854902
#202854822
#202854732
#202854662
#202846302
#202842962
#202839372
C22×C22⋊C8×C532
#6073453