Finite Group Databasebeta

← #27390681

Subgroups — #27390681

Order 13568.

1066 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810857C211yesmaximal, characteristic
2C2×#16810732C211yesmaximal, characteristic, complemented
3C2×#16810581C211yesmaximal, characteristic, complemented
4#20277410C211yesmaximal, characteristic, complemented
5#20277404C211yesmaximal, characteristic, complemented
6#20275588C211yesmaximal, characteristic, complemented
7#20275452C211yesmaximal, characteristic, complemented
8#20275399C211yesmaximal, characteristic, complemented
9#20275395C211yesmaximal, characteristic, complemented
10#20275153C211yesmaximal, characteristic, complemented
11#20274738C211yesmaximal, characteristic, complemented
12#20274611C211yesmaximal, characteristic, complemented
13#102×Dic53C211yesmaximal, characteristic, complemented
14#20274529C211yesmaximal, characteristic, complemented
15C53×#1895C211yesmaximal, characteristic, complemented
16C22×#11719922C2211yescharacteristic
17C23×#88322C2211yescharacteristic
18C2×#13133191C2211yescharacteristic
19C2×D4×Dic53C2211yescharacteristic
20C2×#13133179C2211yescharacteristic
21C2×#13133176C2211yescharacteristic
22#16810857C418yescomplemented
23#16810732—24no—
24C2×#13133150C2211yescharacteristic
25C2×#13133148C2211yescharacteristic
26C2×#13133148C2211yescharacteristic
27C2×#13133139C2211yescharacteristic
28C2×#13133139C2211yescharacteristic
29C2×#13133138C2211yescharacteristic
30C2×#13133137C2211yescharacteristic
31#16810581—24no—
32C2×#13133127C2211yescharacteristic
33C2×#13133127C2211yescharacteristic
34C2×C8×Dic53C2211yescharacteristic
35C2×C8×Dic53C2211yescharacteristic
36#16810526—21no—
37#16810526C2211yescharacteristic
38#16810524C2211yescharacteristic
39#16810523—21no—
40#16810522C2211yescharacteristic
41#16810519C2211yescharacteristic
42#16810516—21no—
43#16810515—21no—
44#16810503—21no—
45#16810499—21no—
46#16810498—21no—
47#16810497—21no—
48#16810483C2211yescharacteristic
49C4⋊C4×Dic53C2211yescharacteristic
50C4⋊C4×Dic53C2211yescharacteristic
51#16810386C2211yescharacteristic
52#16810386C2211yescharacteristic
53#16810385C2211yescharacteristic
54#16810385C2211yescharacteristic
55C22×M16×C53C2211yescharacteristic
56C2×#121×C53C2211yescharacteristic
57C2×#102×C53C2211yescharacteristic
58C2×#102×C53C2211yescharacteristic
59C53×#380C2211yescharacteristic
60C53×#340C2211yescharacteristic
61C53×#340C2211yescharacteristic
62C22×D212C2311yescharacteristic
63C22×C22⋊D53—21no—
64C23×Dic53—21no—
65C22×C4×D53—21no—
66C2×#11719922—22no—
67C2×#11719922—22no—
68C2×#11719922C2×C414yes—
69C22×#88322—22no—
70C22×#88322—22no—
71C22×#88322C2×C414yescomplemented
72C22×#88322C2311yescharacteristic
73C22×#88322C2311yescharacteristic
74#13133191—22no—
75#13133191C2×C414yescomplemented
76D4×Dic53—22no—
77D4×Dic53—22no—
78#13133179—22no—
79#13133179—22no—
80#13133176—22no—
81#13133176—22no—
82C2×C4⋊Dic53—21no—
83C2×C4⋊Dic53D411yescharacteristic
84C2×C4⋊Dic53D411yescharacteristic
85C2×C4⋊Dic53C2311yescharacteristic
86C2×C4⋊Dic53C2311yescharacteristic
87C2×C4⋊Dic53C2311yescharacteristic
88C2×#11719919—21no—
89C2×C22⋊Dic53—21no—
90C2×C22⋊Dic53—21no—
91C2×C22⋊Dic53—21no—
92C2×C22⋊Dic53—21no—
93C2×C22⋊Dic53D411yescharacteristic
94C2×C22⋊Dic53D411yescharacteristic
95C2×#11719921—21no—
96C2×#11719921—21no—
97C2×#11719921—21no—
98C2×#11719921—21no—
99C2×C4×Dic53—21no—
100C2×C4×Dic53—21no—
101C2×C4×Dic53C2311yescharacteristic
102C2×C4×Dic53C2311yescharacteristic
103#13133150C2×C414yescomplemented
104#13133148—22no—
105#13133148—22no—
106#13133139—22no—
107#13133139—22no—
108#13133138C2×C414yescomplemented
109#13133137C2×C414yescomplemented
110#13133127—22no—
111#13133127D414yescomplemented
112C8×Dic53—22no—
113C8×Dic53—22no—
114#13133124—21no—
115#13133124—21no—
116#13133124—21no—
117#13133124—21no—
118#13133124—21no—
119C22×D4×C53—21no—
120C22×D4×C53C2311yescharacteristic
121C23×C4×C53C2311yescharacteristic
122C2×M16×C53—22no—
123C2×M16×C53—22no—
124C2×M16×C53—22no—
125C22×C8×C53C2311yescharacteristic
126C22×C8×C53C2311yescharacteristic
127#121×C53—22no—
128#121×C53C2×C414yescomplemented
129C2×C4⋊C4×C53C2311yescharacteristic
130C2×C4⋊C4×C53C2311yescharacteristic
131C2×C4⋊C4×C53C2311yescharacteristic
132C2×C22⋊C4×C53—21no—
133C2×C22⋊C4×C53—21no—
134#102×C53—22no—
135#102×C53—22no—
136#95×C53—21no—
137C24×C53—21no—
138C24×C53C2×D411yescharacteristic
139C23×D53—21no—
140C2×D4×C53—24no—
141C2×D4×C53—21no—
142C2×D4×C53—21no—
143C2×D4×C53—21no—
144C2×D4×C53—21no—
145C2×D4×C53—21no—
146C2×D4×C53—81no—
147C2×D4×C53—81no—
148C2×D4×C53C22×C412yes—
149C22×C4×C53—21no—
150C22×C4×C53—21no—
151C22×C4×C53—21no—
152C22×C4×C53—21no—
153C22×C4×C53—21no—
154C22×C4×C53—21no—
155C22×C4×C53—21no—
156C22×C4×C53C22×C412yes—
157C22×C4×C53C2×D411yescharacteristic
158C22×C4×C53#4112yes—
159C22×C4×C53C2411yescharacteristic
160C2×C22⋊D53—24no—
161C2×C22⋊D53—81no—
162C2×C22⋊D53—81no—
163C22×Dic53—21no—
164C22×Dic53—21no—
165C22×Dic53—21no—
166C22×Dic53—42no—
167C22×Dic53—81no—
168C22×Dic53—81no—
169C22×Dic53C2×D411yescharacteristic
170C22×Dic53C2×D411yescharacteristic
171C22×Dic53C2×D411yescharacteristic
172C22×Dic53C2×D411yescharacteristic
173C2×D212—21no—
174C2×D212—21no—
175C2×D212—21no—
176C2×D212—21no—
177C2×D212—21no—
178C2×D212C22×C412yes—
179C2×C4×D53—42no—
180C2×C4×D53—81no—
181C2×C4×D53—81no—
182M16×C53—28no—
183C2×C8×C53—21no—
184C2×C8×C53—21no—
185C2×C8×C53—21no—
186C2×C8×C53—21no—
187C2×C8×C53C2×D412yes—
188C2×C8×C53#4112yes—
189C4⋊C4×C53—21no—
190C4⋊C4×C53—21no—
191C4⋊C4×C53—21no—
192C4⋊C4×C53—21no—
193C4⋊C4×C53—21no—
194C4⋊C4×C53C22×C412yes—
195C22⋊C4×C53—24no—
196C22⋊C4×C53—81no—
197C22⋊Dic53—22no—
198C22⋊Dic53—22no—
199C22⋊Dic53—42no—
200C22⋊Dic53—81no—
201C22⋊Dic53—81no—
202C22⋊Dic53—81no—
203#11719922—28no—
204#11719921—24no—
205#11719921—42no—
206#11719921—81no—
207#11719921—81no—
208C4⋊Dic53—21no—
209C4⋊Dic53—22no—
210C4⋊Dic53—22no—
211C4⋊Dic53—21no—
212C4⋊Dic53—21no—
213C4⋊Dic53—21no—
214C4⋊Dic53—21no—
215C4⋊Dic53—81no—
216C4⋊Dic53C22×C412yes—
217#11719919—81no—
218C4×Dic53—21no—
219C4×Dic53—21no—
220C4×Dic53—81no—
221C4×Dic53—81no—
222C4×Dic53C2×D412yes—
223C4×Dic53#4112yes—
224C2×#88322—21no—
225C2×#88322—21no—
226C2×#88322—28no—
227C2×#88322C22×C412yes—
228C2×#88322C22×C412yes—
229C2×#88322C2×D412yes—
230C2×#88322#4112yes—
231C23×C53—21no—
232C23×C53—21no—
233C23×C53—21no—
234C23×C53—21no—
235C23×C53—21no—
236C23×C53—21no—
237C23×C53—22no—
238C23×C53—41no—
239C23×C53—41no—
240C23×C53—41no—
241C23×C53—41no—
242C23×C53—41no—
243C23×C53—41no—
244C23×C53C4×D412yes—
245C23×C53C22×D411yescharacteristic
246C22×D53—22no—
247C22×D53—41no—
248C22×D53—41no—
249C22×D53—41no—
250C22×D53—41no—
251C22×D53—41no—
252C22×D53—41no—
253D4×C53—22no—
254D4×C53—22no—
255D4×C53—41no—
256D4×C53—41no—
257D4×C53—84no—
258C2×C4×C53—21no—
259C2×C4×C53—21no—
260C2×C4×C53—22no—
261C2×C4×C53—22no—
262C2×C4×C53—22no—
263C2×C4×C53—22no—
264C2×C4×C53—22no—
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×C53C4×D412yes—
274C2×C4×C53C23×C411yescharacteristic
275C2×C4×C53C22×D411yescharacteristic
276C2×C4×C53C2×#4111yescharacteristic
277C2×C4×C53C2×#4111yescharacteristic
278C2×C4×C53C2×#4111yescharacteristic
279C2×C4×C53C2×#4111yescharacteristic
280C22⋊D53—84no—
281C2×Dic53—21no—
282C2×Dic53—21no—
283C2×Dic53—21no—
284C2×Dic53—21no—
285C2×Dic53—22no—
286C2×Dic53—21no—
287C2×Dic53—21no—
288C2×Dic53—21no—
289C2×Dic53—21no—
290C2×Dic53—21no—
291C2×Dic53—21no—
292C2×Dic53—41no—
293C2×Dic53—41no—
294C2×Dic53—41no—
295C2×Dic53—41no—
296C2×Dic53—41no—
297C2×Dic53—41no—
298C2×Dic53—41no—
299C2×Dic53—41no—
300C2×Dic53—84no—
301C2×Dic53#12112yes—
302C2×Dic53#12112yes—
303D212—22no—
304D212—22no—
305D212—41no—
306D212—41no—
307C4×D53—84no—
308C8×C53—22no—
309C8×C53—22no—
310#88322—22no—
311#88322C4×D414yes—
312#21529—531nomaximal, Sylow
313C22×C53—22no—
314C22×C53—22no—
315C22×C53—22no—
316C22×C53—41no—
317C22×C53—41no—
318C22×C53—41no—
319C22×C53—41no—
320C22×C53—42no—
321C22×C53—42no—
322C22×C53—42no—
323C22×C53—81no—
324C22×C53—81no—
325C22×C53—81no—
326C22×C53—81no—
327C22×C53C2×C4×D411yescharacteristic
328C22×C53C2×#12111yescharacteristic
329C22×C53#53211yescharacteristic
330C22×C53#57611yescharacteristic
331C22×C53#57611yescharacteristic
332C22×C53#57711yescharacteristic
333C22×C53#57711yescharacteristic
334C2×D53—42no—
335C2×D53—42no—
336C2×D53—42no—
337C2×D53—81no—
338C2×D53—81no—
339C2×D53—81no—
340C2×D53—81no—
341C4×C53—22no—
342C4×C53—42no—
343C4×C53—81no—
344C4×C53—81no—
345C4×C53C2×C4×D411yescharacteristic
346C4×C53C4×#4111yescharacteristic
347C4×C53#52511yescharacteristic
348C4×C53#52911yescharacteristic
349Dic53—22no—
350Dic53—22no—
351Dic53—42no—
352Dic53—41no—
353Dic53—41no—
354Dic53—81no—
355Dic53—81no—
356C2×#466—531no—
357C2×#442—531no—
358C2×#405—531no—
359#2324—531no—
360#2324—531no—
361#1972—531no—
362#1943—531no—
363#1934—531no—
364#1934—531no—
365#1895—531no—
366#1895D5311yescharacteristic, complemented
367#1807—531no—
368#1776—531no—
369C4×#102—531no—
370C4×#102—531no—
371C2×C53—42no—
372C2×C53—82no—
373C2×C53C4×#12111yescharacteristic
374C2×C53#294811yescharacteristic
375C2×C53#295211yescharacteristic
376C2×C53#306211yescharacteristic
377C2×C53#306211yescharacteristic
378C2×C53#317911yescharacteristic
379C2×C53#317911yescharacteristic
380D53—82no—
381C22×D8—531no—
382C22×M16C2×D5311yescharacteristic
383C23×C8—531no—
384C2×#121—531no—
385C2×#121C2×D5311yescharacteristic
386C2×C4×D4—531no—
387C2×C4×D4—531no—
388C2×#117—531no—
389#466—538no—
390#442—1064no—
391C2×#107—531no—
392C2×#106—531no—
393C2×#106—531no—
394C2×#102—531no—
395C2×#102—531no—
396C2×#102—531no—
397C2×#102—531no—
398C2×#102C2×D5311yescharacteristic
399C2×#102C2×D5311yescharacteristic
400#405—1064no—
401C2×#97—531no—
402C2×#97—531no—
403C2×C4×C8—531no—
404C2×C4×C8—531no—
405#390—531no—
406#390—531no—
407#390—1061no—
408#390—1061no—
409#389—531no—
410#389—531no—
411#388—1061no—
412#388—1061no—
413#386—1061no—
414#386—1061no—
415#385—1061no—
416#385—1061no—
417#380—531no—
418#380C2×D5311yescharacteristic
419C4×C4⋊C4—531no—
420C4×C4⋊C4—531no—
421#340—531no—
422#340—531no—
423#340—531no—
424#340—531no—
425#340C2×D5311yescharacteristic
426#340C2×D5311yescharacteristic
427C53#2152911yescharacteristic, complemented, Sylow
428C22×D4—21no—
429C22×D4—531no—
430C22×D4—1061no—
431C22×D4C22×D5311yescharacteristic
432C23×C4—1061no—
433C23×C4—1061no—
434C23×C4C22×D5311yescharacteristic
435C2×D8—534no—
436C2×D8—1062no—
437C2×D8—1062no—
438C2×M16—22no—
439C2×M16—22no—
440C2×M16—22no—
441C22×C8—531no—
442C22×C8—534no—
443C22×C8—531no—
444C22×C8—1062no—
445C22×C8—1062no—
446C22×C8C22×D5311yescharacteristic
447C22×C8C22×D5311yescharacteristic
448#121—22no—
449#121—534no—
450#121—1062no—
451#121C4×D5314yescomplemented
452C4×D4—1062no—
453C4×D4—1062no—
454C4×D4—1062no—
455C4×D4—1062no—
456#117—1062no—
457#117—1062no—
458C2×C4⋊C4—531no—
459C2×C4⋊C4—531no—
460C2×C4⋊C4—531no—
461C2×C4⋊C4—531no—
462C2×C4⋊C4—531no—
463C2×C4⋊C4—1061no—
464C2×C4⋊C4—1061no—
465C2×C4⋊C4C22×D5311yescharacteristic
466C2×C4⋊C4C22×D5311yescharacteristic
467C2×C4⋊C4C22×D5311yescharacteristic
468C2×C22⋊C4—21no—
469C2×C22⋊C4—21no—
470C2×C22⋊C4—531no—
471C2×C22⋊C4—531no—
472C2×C22⋊C4—1061no—
473C2×C22⋊C4—1061no—
474C2×C22⋊C4—1061no—
475C2×C22⋊C4—1061no—
476C2×C22⋊C4—1061no—
477C2×C22⋊C4—1061no—
478C2×C22⋊C4—1061no—
479C2×C22⋊C4—1061no—
480C2×C42—531no—
481C2×C42—531no—
482C2×C42—1061no—
483C2×C42—1061no—
484#107—534no—
485#106—1062no—
486#106—1062no—
487#102—22no—
488#102—22no—
489#102—534no—
490#102—534no—
491#102—1062no—
492#102—1062no—
493#97—534no—
494#97—1062no—
495C4×C8—1062no—
496C4×C8—1062no—
497#95—21no—
498#95—1061no—
499#95—1061no—
500#95—1061no—
501#95—1061no—
502#95—1061no—
503C24—21no—
504C24—1061no—
505C24D4×D5311yescharacteristic
506C2×D4—24no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—81no—
513C2×D4—81no—
514C2×D4—532no—
515C2×D4—1064no—
516C2×D4—1061no—
517C2×D4—1061no—
518C2×D4—1061no—
519C2×D4—1061no—
520C2×D4—1061no—
521C2×D4—4241no—
522C2×D4—4241no—
523C2×D4C2×C4×D5312yes—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—531no—
532C22×C4—531no—
533C22×C4—531no—
534C22×C4—531no—
535C22×C4—1061no—
536C22×C4—1061no—
537C22×C4—1061no—
538C22×C4—4241no—
539C22×C4—4241no—
540C22×C4—4241no—
541C22×C4—4241no—
542C22×C4—2122no—
543C22×C4—2122no—
544C22×C4C2×C4×D5312yes—
545C22×C4D4×D5311yescharacteristic
546C22×C4#1171994712yes—
547C22×C4C23×D5311yescharacteristic
548D8—1068no—
549M16—28no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—532no—
555C2×C8—532no—
556C2×C8—532no—
557C2×C8—532no—
558C2×C8—1068no—
559C2×C8—1061no—
560C2×C8—1061no—
561C2×C8D4×D5312yes—
562C2×C8#1171994712yes—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—532no—
569C4⋊C4—1062no—
570C4⋊C4—1062no—
571C4⋊C4—1061no—
572C4⋊C4—1061no—
573C4⋊C4—1061no—
574C4⋊C4—1061no—
575C4⋊C4—1061no—
576C4⋊C4—4241no—
577C4⋊C4—4241no—
578C4⋊C4C2×C4×D5312yes—
579C22⋊C4—24no—
580C22⋊C4—81no—
581C22⋊C4—1062no—
582C22⋊C4—1062no—
583C22⋊C4—1064no—
584C22⋊C4—4241no—
585C22⋊C4—4241no—
586C22⋊C4—4241no—
587C22⋊C4—4241no—
588C22⋊C4—4241no—
589C22⋊C4—2122no—
590C22⋊C4—2122no—
591C42—532no—
592C42—532no—
593C42—1061no—
594C42—1061no—
595C42—4241no—
596C42—4241no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—22no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—1062no—
611C23—2121no—
612C23—2121no—
613C23—2121no—
614C23—2121no—
615C23—2121no—
616C23—2121no—
617C23#1313317712yes—
618C23C2×D4×D5311yescharacteristic
619D4—22no—
620D4—22no—
621D4—41no—
622D4—41no—
623D4—84no—
624D4—1062no—
625D4—1062no—
626D4—4244no—
627D4—2121no—
628D4—2121no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—532no—
645C2×C4—532no—
646C2×C4—1061no—
647C2×C4—1061no—
648C2×C4—1061no—
649C2×C4—1061no—
650C2×C4—1062no—
651C2×C4—1061no—
652C2×C4—1061no—
653C2×C4—1061no—
654C2×C4—1061no—
655C2×C4—1061no—
656C2×C4—1061no—
657C2×C4—4244no—
658C2×C4—4244no—
659C2×C4—2121no—
660C2×C4—2121no—
661C2×C4—2121no—
662C2×C4—2121no—
663C2×C4—2121no—
664C2×C4—2121no—
665C2×C4—2121no—
666C2×C4—2121no—
667C2×C4#1313317712yes—
668C2×C4C22×C4×D5311yescharacteristic
669C2×C4C2×D4×D5311yescharacteristic
670C2×C4#41×D5311yescharacteristic
671C2×C4#41×D5311yescharacteristic
672C2×C4C2×#1171994711yescharacteristic
673C2×C4C2×#1171994711yescharacteristic
674C8—22no—
675C8—22no—
676C8—534no—
677C8—1062no—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—42no—
686C22—42no—
687C22—42no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22—81no—
692C22—4241no—
693C22—4241no—
694C22—4241no—
695C22—4241no—
696C22—2122no—
697C22—2122no—
698C22—2122no—
699C22C2×#1313317711yescharacteristic
700C22#121×D5311yescharacteristic
701C22#1681116811yescharacteristic
702C22#1681142711yescharacteristic
703C22#1681142711yescharacteristic
704C22#1681143211yescharacteristic
705C22#1681143311yescharacteristic
706C4—22no—
707C4—42no—
708C4—81no—
709C4—81no—
710C4—1062no—
711C4—1062no—
712C4—4241no—
713C4—4241no—
714C4—2122no—
715C4—2121no—
716C4—2121no—
717C4C4×D4×D5311yescharacteristic
718C4C4×#1171994711yescharacteristic
719C4#1681112911yescharacteristic
720C4#1681115011yescharacteristic
721C2—42no—
722C2—82no—
723C2—4242no—
724C2#2027722511yescharacteristic
725C2#2028356311yescharacteristic
726C2#2028359411yescharacteristic
727C2#2028439011yescharacteristic
728C2#2028439211yescharacteristic
729C2#2028539111yescharacteristic
730C2#2028539911yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#1895C2
socleC23×C53C22×D4
prime radicalC2×#16810857C2
cosocleC22×C4×C53C24
hypercenter#1895D53
hypocenterC53#21529
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1895

Complements

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

NH ≅ G/Ntype
2. C2×#16810732C2semidirect
3. C2×#16810581C2semidirect
4. #20277410C2semidirect
5. #20277404C2semidirect
6. #20275588C2semidirect
7. #20275452C2semidirect
8. #20275399C2semidirect
9. #20275395C2semidirect
10. #20275153C2semidirect
11. #20274738C2semidirect
12. #20274611C2semidirect
13. #102×Dic53C2semidirect
14. #20274529C2semidirect
15. C53×#1895C2semidirect
22. #16810857C4semidirect
71. C22×#88322C2×C4semidirect
75. #13133191C2×C4semidirect
103. #13133150C2×C4semidirect
108. #13133138C2×C4semidirect
109. #13133137C2×C4semidirect
111. #13133127D4semidirect
128. #121×C53C2×C4semidirect
366. #1895D53semidirect
427. C53#21529semidirect
451. #121C4×D53semidirect

Maximal subgroups

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

subgroupindex
C2×#168108572
C2×#168107322
C2×#168105812
#202774102
#202774042
#202755882
#202754522
#202753992
#202753952
#202751532
#202747382
#202746112
#102×Dic532
#202745292
C53×#18952
#2152953