Finite Group Databasebeta

← #27390682

Subgroups — #27390682

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×#16810858C211yesmaximal, characteristic
2C2×#16810733C211yesmaximal, characteristic, complemented
3C2×#16810577C211yesmaximal, characteristic, complemented
4#20277409C211yesmaximal, characteristic, complemented
5#20277402C211yesmaximal, characteristic, complemented
6#20275588C211yesmaximal, characteristic, complemented
7#20275452C211yesmaximal, characteristic, complemented
8#20275400C211yesmaximal, characteristic, complemented
9#20275396C211yesmaximal, characteristic, complemented
10#20275152C211yesmaximal, characteristic, complemented
11#20275150C211yesmaximal, characteristic, complemented
12#20274739C211yesmaximal, characteristic, complemented
13#20274613C211yesmaximal, characteristic, complemented
14C4×#13133139C211yesmaximal, characteristic, complemented
15C4×#102×C53C211yesmaximal, characteristic, complemented
16C22×#11719922C2211yescharacteristic
17C22×#11719912C2211yescharacteristic
18C22×C8×D53C2211yescharacteristic
19C2×#13133192C2211yescharacteristic
20C2×#13133188C2211yescharacteristic
21C2×C4×D212C2211yescharacteristic
22C2×#13133174C2211yescharacteristic
23#16810858C418yescomplemented
24#16810733—24no—
25C2×#13133150C2211yescharacteristic
26C2×#13133148C2211yescharacteristic
27C2×#13133148C2211yescharacteristic
28C2×#13133139C2211yescharacteristic
29C2×#13133139C2211yescharacteristic
30C2×#13133138C2211yescharacteristic
31C2×#13133137C2211yescharacteristic
32#16810577—24no—
33C2×#13133128C2211yescharacteristic
34C2×#13133127C2211yescharacteristic
35C2×C8×Dic53C2211yescharacteristic
36#16810526C2211yescharacteristic
37#16810525—21no—
38#16810524C2211yescharacteristic
39#16810523—21no—
40#16810522C2211yescharacteristic
41#16810519C2211yescharacteristic
42#16810517—21no—
43#16810514—21no—
44#16810502—21no—
45#16810501—21no—
46#16810497—21no—
47#16810496—21no—
48#16810480C2211yescharacteristic
49#16810480C2211yescharacteristic
50C4×C4⋊Dic53C2211yescharacteristic
51#16810386C2211yescharacteristic
52#16810386C2211yescharacteristic
53#16810385C2211yescharacteristic
54#16810385C2211yescharacteristic
55C2×C4×D4×C53C2211yescharacteristic
56C2×#102×C53C2211yescharacteristic
57C2×#102×C53C2211yescharacteristic
58C2×C4×C8×C53C2211yescharacteristic
59C4×C4⋊C4×C53C2211yescharacteristic
60C53×#340C2211yescharacteristic
61C53×#340C2211yescharacteristic
62C22×D212—21no—
63C22×D212C2311yescharacteristic
64C22×C22⋊D53—21no—
65C22×C4×D53—21no—
66C22×C4×D53C2311yescharacteristic
67C2×#11719922—22no—
68C2×#11719922—22no—
69C2×#11719922C2×C414yes—
70C2×#11719912—22no—
71C2×#11719912—22no—
72C2×#11719912—22no—
73C22×#88322C2311yescharacteristic
74C22×#88322C2311yescharacteristic
75C2×C8×D53—22no—
76C2×C8×D53—22no—
77C2×C8×D53C2×C414yescomplemented
78#13133192—22no—
79#13133192C2×C414yescomplemented
80#13133188—22no—
81#13133188C2×C414yescomplemented
82C4×D212—22no—
83C4×D212—22no—
84#13133174—22no—
85#13133174—22no—
86C2×C4⋊Dic53—21no—
87C2×C4⋊Dic53C2311yescharacteristic
88C2×C4⋊Dic53C2311yescharacteristic
89C2×C4⋊Dic53C2311yescharacteristic
90C2×#11719919—21no—
91C2×#11719919D411yescharacteristic
92C2×#11719919D411yescharacteristic
93C2×C22⋊Dic53—21no—
94C2×C22⋊Dic53—21no—
95C2×C22⋊Dic53—21no—
96C2×#11719921—21no—
97C2×#11719921—21no—
98C2×#11719921—21no—
99C2×#11719921—21no—
100C2×#11719921—21no—
101C2×#11719921—21no—
102C2×#11719921D411yescharacteristic
103C2×#11719921D411yescharacteristic
104C2×C4×Dic53—21no—
105C2×C4×Dic53C2311yescharacteristic
106#13133150C2×C414yescomplemented
107#13133148—22no—
108#13133148—22no—
109#13133139—22no—
110#13133139C2×C414yescomplemented
111#13133138—22no—
112#13133137—22no—
113#13133128D414yescomplemented
114#13133127—22no—
115C8×Dic53—22no—
116#13133124—21no—
117#13133124—21no—
118#13133124—21no—
119#13133124—21no—
120#13133124—21no—
121C22×D4×C53C2311yescharacteristic
122C23×C4×C53—21no—
123C22×C8×C53C2311yescharacteristic
124C22×C8×C53C2311yescharacteristic
125C4×D4×C53—22no—
126C4×D4×C53—22no—
127C2×C4⋊C4×C53C2311yescharacteristic
128C2×C4⋊C4×C53C2311yescharacteristic
129C2×C4⋊C4×C53C2311yescharacteristic
130C2×C22⋊C4×C53—21no—
131C2×C42×C53—21no—
132C2×C42×C53C2311yescharacteristic
133#102×C53—22no—
134#102×C53C2×C414yescomplemented
135C4×C8×C53—22no—
136#95×C53—21no—
137C24×C53—21no—
138C23×D53—21no—
139C23×D53C2×D411yescharacteristic
140C2×D4×C53—21no—
141C2×D4×C53—21no—
142C2×D4×C53—21no—
143C2×D4×C53—21no—
144C2×D4×C53—21no—
145C2×D4×C53C22×C412yes—
146C22×C4×C53—21no—
147C22×C4×C53—21no—
148C22×C4×C53—21no—
149C22×C4×C53—42no—
150C22×C4×C53—81no—
151C22×C4×C53—81no—
152C22×C4×C53C2×D411yescharacteristic
153C22×C4×C53C2×D411yescharacteristic
154C22×C4×C53C2411yescharacteristic
155C2×C22⋊D53—24no—
156C2×C22⋊D53—81no—
157C2×C22⋊D53—81no—
158C22×Dic53—21no—
159C22×Dic53—21no—
160C22×Dic53—21no—
161C22×Dic53C2×D411yescharacteristic
162C22×Dic53C2×D411yescharacteristic
163C22×Dic53C2×D411yescharacteristic
164C2×D212—21no—
165C2×D212—21no—
166C2×D212—21no—
167C2×D212—21no—
168C2×D212—21no—
169C2×D212—24no—
170C2×D212—81no—
171C2×D212—81no—
172C2×D212C22×C412yes—
173C2×C4×D53—21no—
174C2×C4×D53—21no—
175C2×C4×D53—21no—
176C2×C4×D53—21no—
177C2×C4×D53—42no—
178C2×C4×D53—81no—
179C2×C4×D53—81no—
180C2×C4×D53C22×C412yes—
181C2×C4×D53#4112yes—
182C2×C8×C53—21no—
183C2×C8×C53—21no—
184C2×C8×C53—21no—
185C2×C8×C53—21no—
186C2×C8×C53C22×C412yes—
187C2×C8×C53#4112yes—
188C4⋊C4×C53—21no—
189C4⋊C4×C53—21no—
190C4⋊C4×C53—21no—
191C4⋊C4×C53—21no—
192C4⋊C4×C53—21no—
193C4⋊C4×C53C22×C412yes—
194C22⋊C4×C53—42no—
195C42×C53—81no—
196C42×C53C2×D412yes—
197C42×C53#4112yes—
198C22⋊Dic53—24no—
199C22⋊Dic53—81no—
200C22⋊Dic53—81no—
201#11719922—28no—
202#11719921—22no—
203#11719921—22no—
204#11719921—24no—
205#11719921—42no—
206#11719921—81no—
207#11719921—81no—
208#11719921—81no—
209#11719921—81no—
210C4⋊Dic53—21no—
211C4⋊Dic53—21no—
212C4⋊Dic53—21no—
213C4⋊Dic53—21no—
214C4⋊Dic53—21no—
215C4⋊Dic53—81no—
216C4⋊Dic53C22×C412yes—
217#11719919—22no—
218#11719919—22no—
219#11719919—81no—
220C4×Dic53—21no—
221C4×Dic53—21no—
222C4×Dic53—81no—
223C2×#88322—21no—
224C2×#88322—21no—
225C2×#88322C22×C412yes—
226C2×#88322C2×D412yes—
227C2×#88322C2×D412yes—
228C2×#88322#4112yes—
229#11719912—28no—
230C8×D53—28no—
231C23×C53—22no—
232C23×C53—41no—
233C23×C53—41no—
234C23×C53—41no—
235C23×C53—41no—
236C23×C53—41no—
237C23×C53—41no—
238C23×C53C22×D411yescharacteristic
239C22×D53—21no—
240C22×D53—21no—
241C22×D53—21no—
242C22×D53—21no—
243C22×D53—21no—
244C22×D53—21no—
245C22×D53—22no—
246C22×D53—41no—
247C22×D53—41no—
248C22×D53—41no—
249C22×D53—41no—
250C22×D53—41no—
251C22×D53—41no—
252C22×D53C4×D412yes—
253D4×C53—22no—
254D4×C53—22no—
255D4×C53—41no—
256D4×C53—41no—
257C2×C4×C53—21no—
258C2×C4×C53—21no—
259C2×C4×C53—21no—
260C2×C4×C53—21no—
261C2×C4×C53—22no—
262C2×C4×C53—41no—
263C2×C4×C53—41no—
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—84no—
271C2×C4×C53#12112yes—
272C2×C4×C53#12112yes—
273C2×C4×C53C23×C411yescharacteristic
274C2×C4×C53C22×D411yescharacteristic
275C2×C4×C53C2×#4111yescharacteristic
276C2×C4×C53C2×#4111yescharacteristic
277C2×C4×C53C2×#4111yescharacteristic
278C2×C4×C53C2×#4111yescharacteristic
279C22⋊D53—84no—
280C2×Dic53—21no—
281C2×Dic53—21no—
282C2×Dic53—22no—
283C2×Dic53—21no—
284C2×Dic53—21no—
285C2×Dic53—21no—
286C2×Dic53—21no—
287C2×Dic53—21no—
288C2×Dic53—21no—
289C2×Dic53—41no—
290C2×Dic53—41no—
291C2×Dic53—41no—
292C2×Dic53—41no—
293C2×Dic53—41no—
294C2×Dic53—41no—
295C2×Dic53—41no—
296C2×Dic53—41no—
297C2×Dic53C4×D412yes—
298D212—22no—
299D212—22no—
300D212—41no—
301D212—41no—
302D212—84no—
303C4×D53—22no—
304C4×D53—22no—
305C4×D53—22no—
306C4×D53—22no—
307C4×D53—84no—
308C8×C53—22no—
309C8×C53—22no—
310#88322—22no—
311#88322C4×D414yes—
312#21529—531nomaximal, Sylow
313C22×C53—42no—
314C22×C53—42no—
315C22×C53—42no—
316C22×C53—81no—
317C22×C53—81no—
318C22×C53—81no—
319C22×C53—81no—
320C22×C53C2×C4×D411yescharacteristic
321C22×C53C2×#12111yescharacteristic
322C22×C53#53211yescharacteristic
323C22×C53#57611yescharacteristic
324C22×C53#57611yescharacteristic
325C22×C53#57711yescharacteristic
326C22×C53#57711yescharacteristic
327C2×D53—22no—
328C2×D53—22no—
329C2×D53—22no—
330C2×D53—41no—
331C2×D53—41no—
332C2×D53—41no—
333C2×D53—41no—
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—22no—
343C4×C53—42no—
344C4×C53—81no—
345C4×C53—81no—
346C4×C53C2×C4×D411yescharacteristic
347C4×C53C4×#4111yescharacteristic
348C4×C53#52511yescharacteristic
349C4×C53#52911yescharacteristic
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#1895—531no—
367#1807—531no—
368#1776—531no—
369C4×#102—531no—
370C4×#102D5311yescharacteristic, complemented
371C2×C53—82no—
372C2×C53C4×#12111yescharacteristic
373C2×C53#294811yescharacteristic
374C2×C53#295211yescharacteristic
375C2×C53#306211yescharacteristic
376C2×C53#306211yescharacteristic
377C2×C53#317911yescharacteristic
378C2×C53#317911yescharacteristic
379D53—42no—
380D53—82no—
381C22×D8—531no—
382C22×M16—531no—
383C23×C8—531no—
384C2×#121—531no—
385C2×#121—531no—
386C2×C4×D4—531no—
387C2×C4×D4C2×D5311yescharacteristic
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×C8C2×D5311yescharacteristic
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#380—531no—
419C4×C4⋊C4—531no—
420C4×C4⋊C4C2×D5311yescharacteristic
421#340—531no—
422#340—531no—
423#340—531no—
424#340—531no—
425#340C2×D5311yescharacteristic
426#340C2×D5311yescharacteristic
427C53#2152911yescharacteristic, complemented, Sylow
428C22×D4—531no—
429C22×D4—1061no—
430C22×D4—1061no—
431C22×D4C22×D5311yescharacteristic
432C23×C4—21no—
433C23×C4—531no—
434C23×C4—1061no—
435C2×D8—534no—
436C2×D8—1062no—
437C2×D8—1062no—
438C2×M16—1062no—
439C2×M16—1062no—
440C2×M16—1062no—
441C22×C8—531no—
442C22×C8—531no—
443C22×C8—534no—
444C22×C8—1062no—
445C22×C8—1062no—
446C22×C8C22×D5311yescharacteristic
447C22×C8C22×D5311yescharacteristic
448#121—534no—
449#121—534no—
450#121—1062no—
451#121—1062no—
452C4×D4—22no—
453C4×D4—22no—
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—531no—
470C2×C22⋊C4—531no—
471C2×C22⋊C4—1061no—
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—21no—
481C2×C42—531no—
482C2×C42—1061no—
483C2×C42C22×D5311yescharacteristic
484#107—534no—
485#106—1062no—
486#106—1062no—
487#102—22no—
488#102—534no—
489#102—1062no—
490#102—1062no—
491#102—1062no—
492#102C4×D5314yescomplemented
493#97—534no—
494#97—1062no—
495C4×C8—22no—
496C4×C8—1062no—
497#95—21no—
498#95—1061no—
499#95—1061no—
500#95—1061no—
501#95—1061no—
502#95—1061no—
503C24—21no—
504C24—531no—
505C24—1061no—
506C2×D4—21no—
507C2×D4—21no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—532no—
512C2×D4—1064no—
513C2×D4—1064no—
514C2×D4—1061no—
515C2×D4—1061no—
516C2×D4—1061no—
517C2×D4—1061no—
518C2×D4—1061no—
519C2×D4—4241no—
520C2×D4—4241no—
521C2×D4—4241no—
522C2×D4—4241no—
523C2×D4C2×C4×D5312yes—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—42no—
528C22×C4—81no—
529C22×C4—81no—
530C22×C4—531no—
531C22×C4—532no—
532C22×C4—532no—
533C22×C4—531no—
534C22×C4—531no—
535C22×C4—1061no—
536C22×C4—1061no—
537C22×C4—1061no—
538C22×C4—1061no—
539C22×C4—1061no—
540C22×C4—1061no—
541C22×C4—1061no—
542C22×C4—4241no—
543C22×C4—4241no—
544C22×C4—2122no—
545C22×C4D4×D5311yescharacteristic
546C22×C4D4×D5311yescharacteristic
547C22×C4C23×D5311yescharacteristic
548D8—1068no—
549M16—1068no—
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×C8C2×C4×D5312yes—
562C2×C8#1171994512yes—
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—42no—
580C22⋊C4—1064no—
581C22⋊C4—1064no—
582C22⋊C4—1062no—
583C22⋊C4—1062no—
584C22⋊C4—4241no—
585C22⋊C4—4241no—
586C22⋊C4—4241no—
587C22⋊C4—4241no—
588C22⋊C4—4241no—
589C22⋊C4—4241no—
590C22⋊C4—2122no—
591C42—81no—
592C42—1061no—
593C42—1061no—
594C42—4241no—
595C42#1171994512yes—
596C42D4×D5312yes—
597C23—22no—
598C23—41no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—532no—
605C23—1061no—
606C23—1061no—
607C23—1061no—
608C23—1061no—
609C23—1061no—
610C23—1061no—
611C23—1062no—
612C23—2121no—
613C23—2121no—
614C23—2121no—
615C23—2121no—
616C23—2121no—
617C23—2121no—
618C23C2×D4×D5311yescharacteristic
619D4—22no—
620D4—22no—
621D4—41no—
622D4—41no—
623D4—1062no—
624D4—1062no—
625D4—4244no—
626D4—4244no—
627D4—2121no—
628D4—2121no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—22no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—84no—
643C2×C4—532no—
644C2×C4—1061no—
645C2×C4—1061no—
646C2×C4—1062no—
647C2×C4—1062no—
648C2×C4—1062no—
649C2×C4—1062no—
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—2121no—
659C2×C4—2121no—
660C2×C4—2121no—
661C2×C4—2121no—
662C2×C4—2121no—
663C2×C4—2121no—
664C2×C4—2121no—
665C2×C4—2121no—
666C2×C4#1313319012yes—
667C2×C4#1313319012yes—
668C2×C4C22×C4×D5311yescharacteristic
669C2×C4C2×D4×D5311yescharacteristic
670C2×C4#41×D5311yescharacteristic
671C2×C4#41×D5311yescharacteristic
672C2×C4C2×#1171994511yescharacteristic
673C2×C4C2×#1171994511yescharacteristic
674C8—22no—
675C8—22no—
676C8—534no—
677C8—1062no—
678C22—42no—
679C22—42no—
680C22—42no—
681C22—81no—
682C22—81no—
683C22—81no—
684C22—81no—
685C22—1062no—
686C22—1062no—
687C22—1062no—
688C22—4241no—
689C22—4241no—
690C22—4241no—
691C22—4241no—
692C22—2122no—
693C22—2122no—
694C22—2122no—
695C22—2121no—
696C22—2121no—
697C22—2121no—
698C22—2121no—
699C22C4×D4×D5311yescharacteristic
700C22C2×#1313319011yescharacteristic
701C22#1681117011yescharacteristic
702C22#1681142411yescharacteristic
703C22#1681142511yescharacteristic
704C22#1681142911yescharacteristic
705C22#1681143011yescharacteristic
706C4—22no—
707C4—22no—
708C4—42no—
709C4—81no—
710C4—81no—
711C4—1062no—
712C4—4241no—
713C4—4241no—
714C4—2122no—
715C4—2121no—
716C4—2121no—
717C4C4×D4×D5311yescharacteristic
718C4C4×#1171994511yescharacteristic
719C4#1681113211yescharacteristic
720C4#1681115111yescharacteristic
721C2—82no—
722C2—4242no—
723C2—2122no—
724C2C4×#1313319011yescharacteristic
725C2#2028356211yescharacteristic
726C2#2028359311yescharacteristic
727C2#2028439311yescharacteristic
728C2#2028439811yescharacteristic
729C2#2028539411yescharacteristic
730C2#2028540211yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC4×#102×C53C2
socleC23×C53C22×D4
prime radicalC2×#16810858C2
cosocleC22×C4×C53C24
hypercenterC4×#102D53
hypocenterC53#21529
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C42 ◁ C4×#102

Complements

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

NH ≅ G/Ntype
2. C2×#16810733C2semidirect
3. C2×#16810577C2semidirect
4. #20277409C2semidirect
5. #20277402C2semidirect
6. #20275588C2semidirect
7. #20275452C2semidirect
8. #20275400C2semidirect
9. #20275396C2semidirect
10. #20275152C2semidirect
11. #20275150C2semidirect
12. #20274739C2semidirect
13. #20274613C2semidirect
14. C4×#13133139C2semidirect
15. C4×#102×C53C2semidirect
23. #16810858C4semidirect
77. C2×C8×D53C2×C4semidirect
79. #13133192C2×C4semidirect
81. #13133188C2×C4semidirect
106. #13133150C2×C4semidirect
110. #13133139C2×C4semidirect
113. #13133128D4semidirect
134. #102×C53C2×C4semidirect
370. C4×#102D53semidirect
427. C53#21529semidirect
492. #102C4×D53semidirect

Maximal subgroups

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

subgroupindex
C2×#168108582
C2×#168107332
C2×#168105772
#202774092
#202774022
#202755882
#202754522
#202754002
#202753962
#202751522
#202751502
#202747392
#202746132
C4×#131331392
C4×#102×C532
#2152953