Finite Group Databasebeta

← #27420272

Subgroups — #27420272

Order 13568.

1068 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811251C211yesmaximal, characteristic, complemented
2C2×#16810923C211yesmaximal, characteristic, complemented
3C2×#16810913C211yesmaximal, characteristic, complemented
4#20276053C211yesmaximal, characteristic, complemented
5#20276048C211yesmaximal, characteristic, complemented
6#20275861C211yesmaximal, characteristic, complemented
7#20275851C211yesmaximal, characteristic, complemented
8#20275672C211yesmaximal, characteristic, complemented
9#20275667C211yesmaximal, characteristic, complemented
10#20275038C211yesmaximal, characteristic
11#20275033C211yesmaximal, characteristic
12#20274912C211yesmaximal, characteristic, complemented
13#20274907C211yesmaximal, characteristic, complemented
14#20274699C211yesmaximal, characteristic, complemented
15C53×#2324C211yesmaximal, characteristic
16#16811251—24no—
17#16811251—24no—
18C2×#13133217C2211yescharacteristic
19C2×#13133217C2211yescharacteristic
20C2×#13133216—21no—
21C2×#13133209C2211yescharacteristic
22C2×#13133209C2211yescharacteristic
23C2×#13133208—21no—
24C2×#13133194—21no—
25C2×#13133194—21no—
26C2×#13133176C2211yescharacteristic
27C22×C4⋊Dic53C2211yescharacteristic
28#16810923—24no—
29#16810913—24no—
30C2×#13133150C2211yescharacteristic
31C2×#13133148C2211yescharacteristic
32C2×#13133148C2211yescharacteristic
33C2×#13133148C2211yescharacteristic
34C2×C4⋊#88322C2211yescharacteristic
35C2×C4⋊#88322C2211yescharacteristic
36C2×#13133138C2211yescharacteristic
37C2×#13133138C2211yescharacteristic
38C2×#13133138C2211yescharacteristic
39C2×#13133138C2211yescharacteristic
40C2×C22⋊#88322C2211yescharacteristic
41C2×C22⋊#88322C2211yescharacteristic
42#16810385C2211yescharacteristic
43#16810385C2211yescharacteristic
44#16810385C2211yescharacteristic
45#16810385C2211yescharacteristic
46#16810385C2211yescharacteristic
47#16810385C2211yescharacteristic
48#16810385C2211yescharacteristic
49#16810385C2211yescharacteristic
50#16810378C2211yescharacteristic
51#16810378C2211yescharacteristic
52C2×#121×C53C2211yescharacteristic
53C2×C4×D4×C53C2211yescharacteristic
54C2×#117×C53C2211yescharacteristic
55C53×#390—21no—
56C53×#390C2211yescharacteristic
57C53×#389C2211yescharacteristic
58C53×#388—21no—
59C53×#386—21no—
60C53×#385—21no—
61C53×#380C2211yescharacteristic
62C4×C4⋊C4×C53C2211yescharacteristic
63C22×Dic106—21no—
64C22×Dic106—21no—
65C23×Dic53—21no—
66C22×#88322C2311yescharacteristic
67C22×#88322C2311yescharacteristic
68C22×#88322C2311yescharacteristic
69C22×#88322C2311yescharacteristic
70#13133217—22no—
71#13133217—22no—
72#13133217—22no—
73#13133217D414yescomplemented
74#13133216—28no—
75#13133209—22no—
76#13133209—22no—
77#13133209—22no—
78#13133209D414yescomplemented
79#13133208—28no—
80#13133194—28no—
81#13133194—28no—
82#13133176—22no—
83#13133176—22no—
84C2×C4⋊Dic53—22no—
85C2×C4⋊Dic53—22no—
86C2×C4⋊Dic53—21no—
87C2×C4⋊Dic53—21no—
88C2×C4⋊Dic53—21no—
89C2×C4⋊Dic53C2311yescharacteristic
90C2×C4⋊Dic53C2311yescharacteristic
91C2×C4⋊Dic53C2311yescharacteristic
92C2×C4⋊Dic53C2311yescharacteristic
93C2×#11719919—21no—
94C2×#11719919—21no—
95C2×#11719919—21no—
96C2×#11719919—21no—
97C2×C22⋊Dic53—21no—
98C2×C4×Dic53—21no—
99#13133150—22no—
100#13133148—22no—
101#13133148—22no—
102#13133148—22no—
103C4⋊#88322—22no—
104C4⋊#88322—22no—
105#13133138—22no—
106#13133138—22no—
107#13133138—22no—
108#13133138—22no—
109C22⋊#88322—22no—
110C22⋊#88322—22no—
111C22×D4×C53—21no—
112C22×D4×C53C2311yescharacteristic
113C23×C4×C53—21no—
114C23×C4×C53C2311yescharacteristic
115#121×C53—22no—
116#121×C53Q814yescomplemented
117C4×D4×C53—22no—
118C4×D4×C53—22no—
119#117×C53—22no—
120#117×C53—22no—
121C2×C4⋊C4×C53—21no—
122C2×C4⋊C4×C53D411yescharacteristic
123C2×C4⋊C4×C53D411yescharacteristic
124C2×C4⋊C4×C53C2311yescharacteristic
125C2×C4⋊C4×C53C2311yescharacteristic
126C2×C4⋊C4×C53C2311yescharacteristic
127C2×C22⋊C4×C53—21no—
128C2×C22⋊C4×C53—21no—
129C2×C22⋊C4×C53—21no—
130C2×C22⋊C4×C53—21no—
131C2×C22⋊C4×C53—21no—
132C2×C22⋊C4×C53D411yescharacteristic
133C2×C22⋊C4×C53D411yescharacteristic
134C2×C42×C53—21no—
135C2×C42×C53C2311yescharacteristic
136C2×C42×C53C2311yescharacteristic
137#95×C53—21no—
138#95×C53—21no—
139#95×C53—21no—
140C24×C53—21no—
141C24×C53C2×D411yescharacteristic
142C2×D4×C53—24no—
143C2×D4×C53—21no—
144C2×D4×C53—21no—
145C2×D4×C53—21no—
146C2×D4×C53—21no—
147C2×D4×C53—21no—
148C2×D4×C53—81no—
149C2×D4×C53—81no—
150C2×D4×C53C2×Q812yes—
151C22×C4×C53—21no—
152C22×C4×C53—21no—
153C22×C4×C53—21no—
154C22×C4×C53—21no—
155C22×C4×C53—21no—
156C22×C4×C53—21no—
157C22×C4×C53—21no—
158C22×C4×C53—42no—
159C22×C4×C53—81no—
160C22×C4×C53—81no—
161C22×C4×C53C2×D411yescharacteristic
162C22×C4×C53C2×D411yescharacteristic
163C22×C4×C53C2×D411yescharacteristic
164C22×C4×C53C2×D411yescharacteristic
165C22×C4×C53C2×D411yescharacteristic
166C22×C4×C53C2×Q812yes—
167C22×C4×C53#4112yes—
168C22×C4×C53C2411yescharacteristic
169C22×Dic53—21no—
170C22×Dic53—21no—
171C22×Dic53—21no—
172C22×Dic53—21no—
173C22×Dic53—24no—
174C22×Dic53—81no—
175C22×Dic53—81no—
176C2×Dic106—24no—
177C2×Dic106—24no—
178C2×Dic106—81no—
179C2×Dic106—81no—
180C2×Dic106—81no—
181C2×Dic106—81no—
182C4⋊C4×C53—22no—
183C4⋊C4×C53—22no—
184C4⋊C4×C53—21no—
185C4⋊C4×C53—21no—
186C4⋊C4×C53—21no—
187C4⋊C4×C53—21no—
188C4⋊C4×C53—21no—
189C4⋊C4×C53—81no—
190C4⋊C4×C53C2×Q812yes—
191C22⋊C4×C53—22no—
192C22⋊C4×C53—22no—
193C22⋊C4×C53—24no—
194C22⋊C4×C53—42no—
195C22⋊C4×C53—81no—
196C22⋊C4×C53—81no—
197C22⋊C4×C53—81no—
198C42×C53—21no—
199C42×C53—21no—
200C42×C53—81no—
201C42×C53C2×D412yes—
202C42×C53C2×D412yes—
203C22⋊Dic53—24no—
204C4⋊Dic53—24no—
205C4⋊Dic53—24no—
206C4⋊Dic53—24no—
207C4⋊Dic53—21no—
208C4⋊Dic53—21no—
209C4⋊Dic53—21no—
210C4⋊Dic53—21no—
211C4⋊Dic53C2×D412yes—
212C4⋊Dic53C2×D412yes—
213C4⋊Dic53C2×D412yes—
214C4⋊Dic53C2×D412yes—
215#11719919—24no—
216#11719919—24no—
217#11719919—24no—
218#11719919—24no—
219C4×Dic53—24no—
220C2×#88322—21no—
221C2×#88322—21no—
222C2×#88322—21no—
223C2×#88322—21no—
224C2×#88322—21no—
225C2×#88322—21no—
226C2×#88322—21no—
227C2×#88322—21no—
228C2×#88322—21no—
229C2×#88322—21no—
230C2×#88322—21no—
231C2×#88322—21no—
232C23×C53—21no—
233C23×C53—21no—
234C23×C53—21no—
235C23×C53—21no—
236C23×C53—21no—
237C23×C53—21no—
238C23×C53—22no—
239C23×C53—41no—
240C23×C53—41no—
241C23×C53—41no—
242C23×C53—41no—
243C23×C53—41no—
244C23×C53—41no—
245C23×C53C22⋊Q812yes—
246C23×C53C22×D411yescharacteristic
247D4×C53—22no—
248D4×C53—22no—
249D4×C53—41no—
250D4×C53—41no—
251D4×C53—84no—
252C2×C4×C53—21no—
253C2×C4×C53—21no—
254C2×C4×C53—21no—
255C2×C4×C53—21no—
256C2×C4×C53—21no—
257C2×C4×C53—21no—
258C2×C4×C53—22no—
259C2×C4×C53—22no—
260C2×C4×C53—22no—
261C2×C4×C53—22no—
262C2×C4×C53—21no—
263C2×C4×C53—21no—
264C2×C4×C53—22no—
265C2×C4×C53—21no—
266C2×C4×C53—21no—
267C2×C4×C53—21no—
268C2×C4×C53—21no—
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—41no—
276C2×C4×C53—41no—
277C2×C4×C53—84no—
278C2×C4×C53#12012yes—
279C2×C4×C53#12012yes—
280C2×C4×C53C22⋊Q812yes—
281C2×C4×C53C22×D411yescharacteristic
282C2×C4×C53C22×D411yescharacteristic
283C2×C4×C53C22×Q811yescharacteristic
284C2×C4×C53C2×#4111yescharacteristic
285C2×C4×C532−1+411yescharacteristic
286C2×C4×C532−1+411yescharacteristic
287C2×Dic53—22no—
288C2×Dic53—22no—
289C2×Dic53—22no—
290C2×Dic53—22no—
291C2×Dic53—41no—
292C2×Dic53—41no—
293C2×Dic53—41no—
294C2×Dic53—41no—
295C2×Dic53—41no—
296C2×Dic53—41no—
297C2×Dic53—41no—
298C2×Dic53—41no—
299C2×Dic53—84no—
300Dic106—84no—
301Dic106—84no—
302#88322—41no—
303#88322—41no—
304#88322—41no—
305#88322—41no—
306#24309—531nomaximal, Sylow
307C22×C53—22no—
308C22×C53—22no—
309C22×C53—22no—
310C22×C53—41no—
311C22×C53—41no—
312C22×C53—41no—
313C22×C53—41no—
314C22×C53—42no—
315C22×C53—42no—
316C22×C53—42no—
317C22×C53—81no—
318C22×C53—81no—
319C22×C53—81no—
320C22×C53—81no—
321C22×C53C2×#12011yescharacteristic
322C22×C53C2×C22⋊Q811yescharacteristic
323C22×C53#53611yescharacteristic
324C22×C53#57611yescharacteristic
325C22×C53#57711yescharacteristic
326C22×C53#57711yescharacteristic
327C22×C53#57711yescharacteristic
328C4×C53—22no—
329C4×C53—22no—
330C4×C53—22no—
331C4×C53—42no—
332C4×C53—41no—
333C4×C53—41no—
334C4×C53—81no—
335C4×C53—81no—
336C4×C53#54811yescharacteristic
337C4×C53#54811yescharacteristic
338C4×C53D4×Q811yescharacteristic
339C4×C53D4×Q811yescharacteristic
340Dic53—42no—
341Dic53—42no—
342Dic53—42no—
343Dic53—42no—
344C2×#544—531no—
345C2×#478—531no—
346C2×#476—531no—
347#2324D5311yescharacteristic
348#2059—531no—
349#2058—531no—
350#2025—531no—
351#2023—531no—
352#1989—531no—
353#1988—531no—
354#1875—531no—
355#1874—531no—
356#1854—531no—
357#1853—531no—
358#1798—531no—
359C2×C53—42no—
360C2×C53—82no—
361C2×C53#240911yescharacteristic
362C2×C53#301011yescharacteristic
363C2×C53#301211yescharacteristic
364C2×C53#308111yescharacteristic
365C2×C53#308411yescharacteristic
366C2×C53#324111yescharacteristic
367C2×C53#324411yescharacteristic
368#544—1064no—
369#544—1064no—
370C2×C4⋊Q8—531no—
371C2×C4⋊Q8—531no—
372C2×C4⋊Q8—1061no—
373C2×#125—531no—
374C2×#125—531no—
375C2×#125—1061no—
376C2×C22⋊Q8—1061no—
377C2×C22⋊Q8—1061no—
378C2×#121C2×D5311yescharacteristic
379C2×C4×D4C2×D5311yescharacteristic
380C2×#117—531no—
381C2×#117C2×D5311yescharacteristic
382C22×C4⋊C4—531no—
383#478—1064no—
384#476—1064no—
385C2×#107—531no—
386C2×#106—531no—
387C2×#106—531no—
388C2×#106—531no—
389C2×C4⋊C8—531no—
390C2×C4⋊C8—531no—
391C2×#102—531no—
392C2×#102—531no—
393C2×#102—531no—
394C2×#102—531no—
395C2×C22⋊C8—531no—
396C2×C22⋊C8—531no—
397#390—21no—
398#390C2×D5311yescharacteristic
399#389C2×D5311yescharacteristic
400#388—21no—
401#386—21no—
402#385—21no—
403#380C2×D5311yescharacteristic
404C4×C4⋊C4C2×D5311yescharacteristic
405#340—531no—
406#340—531no—
407#340—531no—
408#340—531no—
409#340—531no—
410#340—531no—
411#340—531no—
412#340—531no—
413#336—531no—
414#336—531no—
415C53#2430911yescharacteristic, complemented, Sylow
416C22×Q8—1061no—
417C22×Q8—1061no—
418C22×D4—21no—
419C22×D4C22×D5311yescharacteristic
420C23×C4—21no—
421C23×C4—1061no—
422C23×C4C22×D5311yescharacteristic
423C22×C8—531no—
424C22×C8—531no—
425C22×C8—531no—
426C22×C8—531no—
427C4⋊Q8—534no—
428C4⋊Q8—1062no—
429C4⋊Q8—1062no—
430C4⋊Q8—1068no—
431C4⋊Q8—1062no—
432#125—534no—
433#125—1062no—
434#125—1062no—
435#125—1068no—
436#125—1062no—
437C22⋊Q8—1068no—
438C22⋊Q8—1068no—
439#121—22no—
440#121Dic10614yescomplemented
441C4×D4—22no—
442C4×D4—22no—
443#117—22no—
444#117—22no—
445#117—1062no—
446#117—1062no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—531no—
449C2×C4⋊C4—531no—
450C2×C4⋊C4—531no—
451C2×C4⋊C4—531no—
452C2×C4⋊C4—1062no—
453C2×C4⋊C4—1062no—
454C2×C4⋊C4—1061no—
455C2×C4⋊C4—1061no—
456C2×C4⋊C4—1061no—
457C2×C4⋊C4—1061no—
458C2×C4⋊C4—1061no—
459C2×C4⋊C4—1061no—
460C2×C4⋊C4—1061no—
461C2×C4⋊C4C22⋊D5311yescharacteristic
462C2×C4⋊C4C22⋊D5311yescharacteristic
463C2×C4⋊C4C22×D5311yescharacteristic
464C2×C4⋊C4C22×D5311yescharacteristic
465C2×C4⋊C4C22×D5311yescharacteristic
466C2×C22⋊C4—21no—
467C2×C22⋊C4—21no—
468C2×C22⋊C4—21no—
469C2×C22⋊C4—21no—
470C2×C22⋊C4—21no—
471C2×C22⋊C4—1061no—
472C2×C22⋊C4C22⋊D5311yescharacteristic
473C2×C22⋊C4C22⋊D5311yescharacteristic
474C2×C42—21no—
475C2×C42—1061no—
476C2×C42C22×D5311yescharacteristic
477C2×C42C22×D5311yescharacteristic
478#107—1062no—
479#106—1062no—
480#106—1062no—
481#106—1062no—
482C4⋊C8—1062no—
483C4⋊C8—1062no—
484#102—1062no—
485#102—1062no—
486#102—1062no—
487#102—1062no—
488C22⋊C8—1062no—
489C22⋊C8—1062no—
490#95—21no—
491#95—21no—
492#95—21no—
493C24—21no—
494C24C2×C22⋊D5311yescharacteristic
495C2×Q8—1064no—
496C2×Q8—1064no—
497C2×Q8—4241no—
498C2×Q8—4241no—
499C2×Q8—4241no—
500C2×Q8—4241no—
501C2×D4—24no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—81no—
508C2×D4—81no—
509C2×D4C2×Dic10612yes—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—42no—
518C22×C4—81no—
519C22×C4—81no—
520C22×C4—1064no—
521C22×C4—1061no—
522C22×C4—1061no—
523C22×C4—1061no—
524C22×C4—1061no—
525C22×C4—4241no—
526C22×C4—4241no—
527C22×C4C2×Dic10612yes—
528C22×C4#1171994512yes—
529C22×C4C2×C22⋊D5311yescharacteristic
530C22×C4C2×C22⋊D5311yescharacteristic
531C22×C4C2×C22⋊D5311yescharacteristic
532C22×C4C2×C22⋊D5311yescharacteristic
533C22×C4C2×C22⋊D5311yescharacteristic
534C22×C4C23×D5311yescharacteristic
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—22no—
548C4⋊C4—22no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—81no—
555C4⋊C4—532no—
556C4⋊C4—532no—
557C4⋊C4—532no—
558C4⋊C4—532no—
559C4⋊C4—1064no—
560C4⋊C4—1064no—
561C4⋊C4—1064no—
562C4⋊C4—1064no—
563C4⋊C4—1064no—
564C4⋊C4—1064no—
565C4⋊C4—1064no—
566C4⋊C4—1061no—
567C4⋊C4—1061no—
568C4⋊C4—1061no—
569C4⋊C4—1061no—
570C4⋊C4C2×Dic10612yes—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—24no—
574C22⋊C4—42no—
575C22⋊C4—81no—
576C22⋊C4—81no—
577C22⋊C4—81no—
578C22⋊C4—1064no—
579C42—21no—
580C42—21no—
581C42—81no—
582C42—1064no—
583C42D4×D5312yes—
584C42D4×D5312yes—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—22no—
592C23—41no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—41no—
598C23#1313319612yes—
599C23C22×C22⋊D5311yescharacteristic
600Q8—4244no—
601Q8—4244no—
602D4—22no—
603D4—22no—
604D4—41no—
605D4—41no—
606D4—84no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—22no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—84no—
633C2×C4—1062no—
634C2×C4—1062no—
635C2×C4—1062no—
636C2×C4—1062no—
637C2×C4—4244no—
638C2×C4—2121no—
639C2×C4—2121no—
640C2×C4—2121no—
641C2×C4—2121no—
642C2×C4—2121no—
643C2×C4—2121no—
644C2×C4—2121no—
645C2×C4—2121no—
646C2×C4#1313318512yes—
647C2×C4#1313318512yes—
648C2×C4#1313319612yes—
649C2×C4C2×D4×D5311yescharacteristic
650C2×C4C2×D4×D5311yescharacteristic
651C2×C4C22×Dic10611yescharacteristic
652C2×C4C2×#1171994511yescharacteristic
653C2×C4#1313326411yescharacteristic
654C2×C4#1313326411yescharacteristic
655C8—2121no—
656C8—2121no—
657C8—2121no—
658C8—2121no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—41no—
663C22—41no—
664C22—41no—
665C22—41no—
666C22—42no—
667C22—42no—
668C22—42no—
669C22—81no—
670C22—81no—
671C22—81no—
672C22—81no—
673C22C2×#1313318511yescharacteristic
674C22C2×#1313319611yescharacteristic
675C22#1681119411yescharacteristic
676C22#1681142611yescharacteristic
677C22#1681143111yescharacteristic
678C22#1681143411yescharacteristic
679C22#1681143411yescharacteristic
680C4—22no—
681C4—22no—
682C4—22no—
683C4—41no—
684C4—41no—
685C4—42no—
686C4—81no—
687C4—81no—
688C4—2122no—
689C4—2122no—
690C4—2122no—
691C4—2122no—
692C4#1681128211yescharacteristic
693C4#1681128211yescharacteristic
694C4D4×Dic10611yescharacteristic
695C4D4×Dic10611yescharacteristic
696C2—42no—
697C2—82no—
698C2#2027808011yescharacteristic
699C2#2028399911yescharacteristic
700C2#2028401611yescharacteristic
701C2#2028454611yescharacteristic
702C2#2028457711yescharacteristic
703C2#2028596211yescharacteristic
704C2#2028600711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutator, cosocleC22×C4×C53C24
FrattiniC22×C4C23×D53
FittingC53×#2324C2
socleC23×C53C22×D4
prime radicalC2×#121×C53C22
hypercenter#2324D53
hypocenterC53#24309
LCSG ▷ C22×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2324

Complements

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

NH ≅ G/Ntype
1. C2×#16811251C2semidirect
2. C2×#16810923C2semidirect
3. C2×#16810913C2semidirect
4. #20276053C2semidirect
5. #20276048C2semidirect
6. #20275861C2semidirect
7. #20275851C2semidirect
8. #20275672C2semidirect
9. #20275667C2semidirect
12. #20274912C2semidirect
13. #20274907C2semidirect
14. #20274699C2semidirect
73. #13133217D4semidirect
78. #13133209D4semidirect
116. #121×C53Q8semidirect
415. C53#24309semidirect
440. #121Dic106semidirect

Maximal subgroups

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

subgroupindex
C2×#168112512
C2×#168109232
C2×#168109132
#202760532
#202760482
#202758612
#202758512
#202756722
#202756672
#202750382
#202750332
#202749122
#202749072
#202746992
C53×#23242
#2430953