Finite Group Databasebeta

← #27350281

Subgroups — #27350281

Order 13568.

1046 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811299C211yesmaximal, characteristic
2#20283369C212yesmaximal, complemented
3#20273081C212yesmaximal, complemented
4#20273065C212yesmaximal, complemented
5#20273061C212yesmaximal, complemented
6#20273054C211yesmaximal, characteristic, complemented
7#20273046C211yesmaximal, characteristic, complemented
8#20273042C211yesmaximal, characteristic, complemented
9#20273034C211yesmaximal, characteristic, complemented
10#20273026C211yesmaximal, characteristic, complemented
11C2×C53×#323C211yesmaximal, characteristic, complemented
12#16811299—22no—
13#16811299—22no—
14#16811299—22no—
15#16811299—22no—
16C2×#13133210C411yescharacteristic
17C2×#13133210C2211yescharacteristic
18C2×#13133203C2211yescharacteristic
19C2×#13133201C411yescharacteristic
20C2×#13133200C2211yescharacteristic
21C2×#13133199C411yescharacteristic
22C2×#13133196C411yescharacteristic
23C2×#13133194C411yescharacteristic
24C2×#13133186C411yescharacteristic
25C2×C4×C22⋊D53C411yescharacteristic
26C2×#13133177C2211yescharacteristic
27C2×#13133176C2211yescharacteristic
28C2×#13133173C2211yescharacteristic
29C22×C22⋊Dic53C411yescharacteristic
30#16810681—22no—
31#16810681—22no—
32#16810677C2212yescomplemented
33#16810677C2212yescomplemented
34#16810673C2212yescomplemented
35#16810673C2212yescomplemented
36#16810649—22no—
37#16810587C2212yes—
38#16810578—22no—
39#16810348C2212yescomplemented
40#16810348C2212yescomplemented
41#16810347C2211yescharacteristic
42#16810347C2211yescharacteristic
43#16810347C2212yes—
44#16810346C2212yescomplemented
45#16810346C2212yescomplemented
46C22×C22⋊C4×C53C2211yescharacteristic
47C2×C22⋊C8×C53C2212yes—
48C53×#323C2211yescharacteristic
49C53×#323C2211yescharacteristic
50C53×#323C2212yes—
51C22×Dic106C2×C411yescharacteristic
52C22×C22⋊D53C2×C411yescharacteristic
53C22×C22⋊D53C2×C411yescharacteristic
54C22×C22⋊D53C2×C411yescharacteristic
55C23×Dic53C2×C411yescharacteristic
56C23×Dic53C2×C411yescharacteristic
57C22×C4×D53C2×C411yescharacteristic
58C2×#11719917—22no—
59#13133210—22no—
60#13133210—22no—
61#13133210—22no—
62#13133210—22no—
63#13133203—22no—
64#13133203—22no—
65#13133201—22no—
66#13133201—22no—
67#13133200—22no—
68#13133200—22no—
69#13133199—22no—
70#13133199—22no—
71#13133196—22no—
72#13133196—22no—
73#13133194—22no—
74#13133194—22no—
75#13133186—22no—
76#13133186—22no—
77C4×C22⋊D53—21no—
78C4×C22⋊D53—21no—
79C4×C22⋊D53—21no—
80C4×C22⋊D53—21no—
81#13133177—22no—
82#13133177—22no—
83#13133176D412yes—
84#13133176D412yes—
85#13133176D412yes—
86#13133176D412yes—
87#13133173—22no—
88#13133173—22no—
89C2×C4⋊Dic53C2×C411yescharacteristic
90C2×C4⋊Dic53C2×C411yescharacteristic
91C2×C4⋊Dic53C2×C411yescharacteristic
92C2×#11719919C2×C411yescharacteristic
93C2×#11719919C2×C411yescharacteristic
94C2×#11719919C2×C411yescharacteristic
95C2×#11719919C2×C411yescharacteristic
96C2×#11719919C2311yescharacteristic
97C2×C22⋊Dic53—21no—
98C2×C22⋊Dic53—21no—
99C2×C22⋊Dic53—21no—
100C2×C22⋊Dic53—21no—
101C2×C22⋊Dic53C2×C411yescharacteristic
102C2×C22⋊Dic53C2×C411yescharacteristic
103C2×C22⋊Dic53C2×C411yescharacteristic
104C2×C22⋊Dic53C2×C411yescharacteristic
105C2×C22⋊Dic53C2×C411yescharacteristic
106C2×C22⋊Dic53C2×C411yescharacteristic
107C2×C22⋊Dic53C2×C411yescharacteristic
108C2×#11719921C2×C411yescharacteristic
109C2×#11719921C2×C411yescharacteristic
110C2×#11719921C2311yescharacteristic
111C2×C4×Dic53C2×C411yescharacteristic
112C2×C4×Dic53C2311yescharacteristic
113C2×C4×Dic53C2311yescharacteristic
114#13133146—22no—
115#13133146—22no—
116#13133146—22no—
117#13133146—22no—
118C22⋊#88322—22no—
119C22⋊#88322C2312yes—
120C22⋊#88322C2312yes—
121#13133127—22no—
122#13133127—22no—
123C8×Dic53—22no—
124C8×Dic53—22no—
125C25×C53C2×C411yescharacteristic
126C23×C4×C53C2×C411yescharacteristic
127C23×C4×C53C2311yescharacteristic
128C22×C8×C53—22no—
129C2×C22⋊C4×C53—22no—
130C2×C22⋊C4×C53—22no—
131C2×C22⋊C4×C53C2×C411yescharacteristic
132C2×C22⋊C4×C53C2×C411yescharacteristic
133C2×C22⋊C4×C53C2311yescharacteristic
134C2×C22⋊C4×C53C2311yescharacteristic
135C22⋊C8×C53—22no—
136C22⋊C8×C53C2312yes—
137C22⋊C8×C53C2312yes—
138C24×C53—21no—
139C24×C53—21no—
140C24×C53—22no—
141C24×C53—41no—
142C24×C53—42no—
143C24×C53—81no—
144C24×C53C22×C411yescharacteristic
145C24×C53C22×C411yescharacteristic
146C24×C53C22×C411yescharacteristic
147C23×D53C22×C411yescharacteristic
148C22×C4×C53—21no—
149C22×C4×C53—21no—
150C22×C4×C53—42no—
151C22×C4×C53—81no—
152C22×C4×C53C22×C411yescharacteristic
153C22×C4×C53C22×C411yescharacteristic
154C22×C4×C53C22×C411yescharacteristic
155C22×C4×C53C2×D412yes—
156C22×C4×C53C2×D412yes—
157C22×C4×C53C2411yescharacteristic
158C2×C22⋊D53—21no—
159C2×C22⋊D53—21no—
160C2×C22⋊D53—22no—
161C2×C22⋊D53—22no—
162C2×C22⋊D53—22no—
163C2×C22⋊D53—41no—
164C2×C22⋊D53—42no—
165C2×C22⋊D53—81no—
166C22×Dic53—22no—
167C22×Dic53—21no—
168C22×Dic53—21no—
169C22×Dic53—21no—
170C22×Dic53—21no—
171C22×Dic53—41no—
172C22×Dic53—81no—
173C22×Dic53C22×C411yescharacteristic
174C22×Dic53C22×C411yescharacteristic
175C22×Dic53C22×C411yescharacteristic
176C22×Dic53C22×C411yescharacteristic
177C22×Dic53C22×C411yescharacteristic
178C22×Dic53C22×C411yescharacteristic
179C22×Dic53C22×C411yescharacteristic
180C2×C4×D53—21no—
181C2×C4×D53—21no—
182C2×C4×D53—81no—
183C2×Dic106—22no—
184C2×Dic106—81no—
185C2×C8×C53—22no—
186C2×C8×C53—22no—
187C2×C8×C53—44no—
188C22⋊C4×C53—22no—
189C22⋊C4×C53—22no—
190C22⋊C4×C53—22no—
191C22⋊C4×C53—22no—
192C22⋊Dic53—21no—
193C22⋊Dic53—21no—
194C22⋊Dic53—21no—
195C22⋊Dic53—21no—
196C22⋊Dic53—21no—
197C22⋊Dic53—21no—
198C22⋊Dic53—22no—
199C22⋊Dic53—22no—
200C22⋊Dic53C22⋊C411yescharacteristic
201C22⋊Dic53C22⋊C411yescharacteristic
202C22⋊Dic53C22⋊C411yescharacteristic
203C22⋊Dic53C22⋊C411yescharacteristic
204C22⋊Dic53C22⋊C412yes—
205C22⋊Dic53C22⋊C412yes—
206#11719921—22no—
207#11719921—22no—
208#11719921—21no—
209#11719921—21no—
210C4⋊Dic53—22no—
211C4⋊Dic53C22⋊C412yes—
212C4⋊Dic53C22⋊C412yes—
213C4⋊Dic53C22⋊C412yes—
214C4⋊Dic53C22⋊C412yes—
215#11719919—22no—
216#11719919—22no—
217#11719919—22no—
218#11719919—22no—
219#11719919—21no—
220#11719919—21no—
221C4×Dic53—21no—
222C4×Dic53—21no—
223C4×Dic53C2×D412yes—
224C4×Dic53C2×D412yes—
225C4×Dic53C2×D412yes—
226C4×Dic53C2×D412yes—
227#11719917—44no—
228C2×#88322—22no—
229C2×#88322—22no—
230C23×C53—21no—
231C23×C53—21no—
232C23×C53—21no—
233C23×C53—21no—
234C23×C53—22no—
235C23×C53—21no—
236C23×C53—21no—
237C23×C53—21no—
238C23×C53—41no—
239C23×C53—42no—
240C23×C53—42no—
241C23×C53—41no—
242C23×C53—41no—
243C23×C53—42no—
244C23×C53—41no—
245C23×C53—41no—
246C23×C53—42no—
247C23×C53—81no—
248C23×C53—81no—
249C23×C53—84no—
250C23×C53—84no—
251C23×C53C2×C22⋊C411yescharacteristic
252C23×C53C2×C22⋊C411yescharacteristic
253C23×C53#13112yes—
254C23×C53C23×C411yescharacteristic
255C22×D53—21no—
256C22×D53—21no—
257C22×D53—21no—
258C22×D53—41no—
259C22×D53—41no—
260C2×C4×C53—24no—
261C2×C4×C53—21no—
262C2×C4×C53—21no—
263C2×C4×C53—41no—
264C2×C4×C53—42no—
265C2×C4×C53—41no—
266C2×C4×C53—41no—
267C2×C4×C53—41no—
268C2×C4×C53—81no—
269C2×C4×C53—81no—
270C2×C4×C53C2×C22⋊C412yes—
271C2×C4×C53C22×D412yes—
272C22⋊D53—44no—
273C22⋊D53—42no—
274C22⋊D53—42no—
275C22⋊D53—82no—
276C2×Dic53—21no—
277C2×Dic53—21no—
278C2×Dic53—21no—
279C2×Dic53—21no—
280C2×Dic53—21no—
281C2×Dic53—21no—
282C2×Dic53—21no—
283C2×Dic53—21no—
284C2×Dic53—21no—
285C2×Dic53—41no—
286C2×Dic53—41no—
287C2×Dic53—42no—
288C2×Dic53—42no—
289C2×Dic53—41no—
290C2×Dic53—41no—
291C2×Dic53—81no—
292C2×Dic53—81no—
293C2×Dic53C2×C22⋊C412yes—
294C2×Dic53C2×C22⋊C411yescharacteristic
295C2×Dic53C2×C22⋊C411yescharacteristic
296C2×Dic53C2×C22⋊C411yescharacteristic
297C2×Dic53C2×C22⋊C411yescharacteristic
298C2×Dic53C2×C22⋊C412yes—
299C4×D53—81no—
300C4×D53—81no—
301Dic106—82no—
302C8×C53—42no—
303C8×C53—42no—
304#88322—42no—
305#88322—42no—
306#17412—531nomaximal, Sylow
307C22×C53—21no—
308C22×C53—21no—
309C22×C53—21no—
310C22×C53—21no—
311C22×C53—22no—
312C22×C53—21no—
313C22×C53—21no—
314C22×C53—21no—
315C22×C53—42no—
316C22×C53—42no—
317C22×C53—42no—
318C22×C53—42no—
319C22×C53—41no—
320C22×C53—41no—
321C22×C53—41no—
322C22×C53—41no—
323C22×C53—41no—
324C22×C53—84no—
325C22×C53—81no—
326C22×C53—81no—
327C22×C53—84no—
328C22×C53#41012yes—
329C22×C53C22×C22⋊C411yescharacteristic
330C22×C53C2×#13111yescharacteristic
331C22×C53#56811yescharacteristic
332C2×D53—41no—
333C2×D53—41no—
334C2×D53—41no—
335C2×D53—81no—
336C2×D53—81no—
337C4×C53—22no—
338C4×C53—22no—
339C4×C53—41no—
340C4×C53—41no—
341Dic53—21no—
342Dic53—21no—
343Dic53—22no—
344Dic53—22no—
345Dic53—21no—
346Dic53—21no—
347Dic53—41no—
348Dic53—41no—
349Dic53—41no—
350C2×#551—531no—
351#2924—532no—
352#1473—532no—
353#1469—532no—
354#1468—532no—
355#1466—531no—
356#1464—531no—
357#1462—531no—
358#1460—531no—
359#1458—531no—
360C2×#323D5311yescharacteristic, complemented
361C2×C53—21no—
362C2×C53—21no—
363C2×C53—22no—
364C2×C53—41no—
365C2×C53—42no—
366C2×C53—81no—
367C2×C53#288011yescharacteristic
368C2×C53C2×#41011yescharacteristic
369C2×C53#288811yescharacteristic
370D53—81no—
371#551—1062no—
372#551—1062no—
373#551—1062no—
374#551—1062no—
375C2×#126—531no—
376C2×#126—531no—
377C2×#124—531no—
378C2×#123—531no—
379C2×#123—531no—
380C2×#123—531no—
381C2×C22⋊Q8—531no—
382C2×C22⋊Q8—531no—
383C2×#120—531no—
384C2×C4×D4—531no—
385C2×C4×D4—531no—
386C2×#117—531no—
387C2×#117—531no—
388C22×C22⋊C4—531no—
389C22×C22⋊C4C2×D5311yescharacteristic
390#433—1062no—
391#433—1062no—
392#432—532no—
393#432—532no—
394#431—532no—
395#431—532no—
396#424—1062no—
397#407—532no—
398C2×C22⋊C8C2×D5312yes—
399#405—1062no—
400#324—532no—
401#324—532no—
402#323—531no—
403#323—531no—
404#323—532no—
405#323—532no—
406#323—532no—
407#323C2×D5311yescharacteristic
408#323C2×D5311yescharacteristic
409#323C2×D5312yes—
410C53#1741211yescharacteristic, complemented, Sylow
411C25C4×D5311yescharacteristic
412C22×Q8—531no—
413C22×D4—531no—
414C22×D4—531no—
415C22×D4—531no—
416C23×C4—531no—
417C23×C4—531no—
418C23×C4—531no—
419C23×C4C4×D5311yescharacteristic
420C23×C4C22×D5311yescharacteristic
421C2×M16—1062no—
422C22×C8—22no—
423#126—1062no—
424#126—1062no—
425#126—1062no—
426#126—1062no—
427#124—1062no—
428#124—1062no—
429#123—1062no—
430#123—1062no—
431#123—1062no—
432#123—1062no—
433#123—1062no—
434#123—1062no—
435C22⋊Q8—1062no—
436C22⋊Q8—1062no—
437C22⋊Q8—1062no—
438C22⋊Q8—1062no—
439#120—1062no—
440#120—1062no—
441C4×D4—1062no—
442C4×D4—1062no—
443C4×D4—1061no—
444C4×D4—1061no—
445C4×D4—1061no—
446C4×D4—1061no—
447#117—532no—
448#117—532no—
449#117—532no—
450#117—532no—
451#117—1062no—
452#117—1062no—
453C2×C4⋊C4—531no—
454C2×C4⋊C4—531no—
455C2×C4⋊C4—531no—
456C2×C4⋊C4—531no—
457C2×C4⋊C4—531no—
458C2×C4⋊C4—531no—
459C2×C4⋊C4—531no—
460C2×C4⋊C4—531no—
461C2×C22⋊C4—22no—
462C2×C22⋊C4—22no—
463C2×C22⋊C4—531no—
464C2×C22⋊C4—531no—
465C2×C22⋊C4—531no—
466C2×C22⋊C4—531no—
467C2×C22⋊C4—531no—
468C2×C22⋊C4—531no—
469C2×C22⋊C4—531no—
470C2×C22⋊C4—531no—
471C2×C22⋊C4—531no—
472C2×C22⋊C4—531no—
473C2×C22⋊C4—1061no—
474C2×C22⋊C4—1061no—
475C2×C22⋊C4—1061no—
476C2×C22⋊C4—1061no—
477C2×C22⋊C4C4×D5311yescharacteristic
478C2×C22⋊C4C4×D5311yescharacteristic
479C2×C22⋊C4C22×D5311yescharacteristic
480C2×C22⋊C4C22×D5311yescharacteristic
481C2×C42—531no—
482C2×C42—531no—
483C2×C42—531no—
484C4⋊C8—1062no—
485C4⋊C8—1062no—
486C4⋊C8—1062no—
487C4⋊C8—1062no—
488C22⋊C8—22no—
489C22⋊C8—532no—
490C22⋊C8—532no—
491C22⋊C8—1062no—
492C22⋊C8C22×D5312yes—
493C22⋊C8C22×D5312yes—
494#97—1062no—
495#97—1062no—
496C4×C8—1062no—
497C4×C8—1062no—
498C24—21no—
499C24—21no—
500C24—22no—
501C24—41no—
502C24—42no—
503C24—81no—
504C24—531no—
505C24C2×C4×D5311yescharacteristic
506C24C2×C4×D5311yescharacteristic
507C24C2×C4×D5311yescharacteristic
508C2×Q8—1062no—
509C2×Q8—4241no—
510C2×D4—1062no—
511C2×D4—1062no—
512C2×D4—1061no—
513C2×D4—1061no—
514C2×D4—1062no—
515C2×D4—4241no—
516C2×D4—2121no—
517C2×D4—2122no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—42no—
521C22×C4—81no—
522C22×C4—531no—
523C22×C4—531no—
524C22×C4—531no—
525C22×C4—531no—
526C22×C4—531no—
527C22×C4—531no—
528C22×C4—531no—
529C22×C4—1061no—
530C22×C4—1061no—
531C22×C4—1061no—
532C22×C4—1061no—
533C22×C4—1061no—
534C22×C4—1061no—
535C22×C4—1062no—
536C22×C4—4241no—
537C22×C4—4241no—
538C22×C4—2121no—
539C22×C4C2×C4×D5311yescharacteristic
540C22×C4C2×C4×D5311yescharacteristic
541C22×C4C2×C4×D5311yescharacteristic
542C22×C4D4×D5312yes—
543C22×C4D4×D5312yes—
544C22×C4C23×D5311yescharacteristic
545M16—2124no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—44no—
549C2×C8—1062no—
550C2×C8—1062no—
551C4⋊C4—532no—
552C4⋊C4—532no—
553C4⋊C4—532no—
554C4⋊C4—532no—
555C4⋊C4—1062no—
556C4⋊C4—1062no—
557C4⋊C4—1061no—
558C4⋊C4—1061no—
559C4⋊C4—1062no—
560C4⋊C4—1062no—
561C4⋊C4—1062no—
562C22⋊C4—22no—
563C22⋊C4—22no—
564C22⋊C4—22no—
565C22⋊C4—22no—
566C22⋊C4—531no—
567C22⋊C4—531no—
568C22⋊C4—531no—
569C22⋊C4—531no—
570C22⋊C4—532no—
571C22⋊C4—532no—
572C22⋊C4—1061no—
573C22⋊C4—1061no—
574C22⋊C4—1061no—
575C22⋊C4—1061no—
576C22⋊C4—1061no—
577C22⋊C4—1061no—
578C22⋊C4—1062no—
579C22⋊C4—1062no—
580C22⋊C4—1061no—
581C22⋊C4—1061no—
582C22⋊C4—1062no—
583C22⋊C4—1062no—
584C42—532no—
585C42—532no—
586C42—532no—
587C42—532no—
588C42—1061no—
589C42—1061no—
590C23—21no—
591C23—22no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—41no—
599C23—42no—
600C23—42no—
601C23—41no—
602C23—41no—
603C23—42no—
604C23—41no—
605C23—41no—
606C23—42no—
607C23—81no—
608C23—81no—
609C23—84no—
610C23—84no—
611C23—1061no—
612C23—1061no—
613C23—1061no—
614C23—2121no—
615C23—2121no—
616C23C22⋊C4×D5311yescharacteristic
617C23C22⋊C4×D5311yescharacteristic
618C23#1313322312yes—
619C23C22×C4×D5311yescharacteristic
620Q8—4242no—
621D4—4242no—
622D4—2124no—
623D4—2122no—
624D4—2122no—
625C2×C4—24no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—41no—
629C2×C4—42no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—81no—
634C2×C4—81no—
635C2×C4—531no—
636C2×C4—531no—
637C2×C4—532no—
638C2×C4—531no—
639C2×C4—531no—
640C2×C4—532no—
641C2×C4—1061no—
642C2×C4—1061no—
643C2×C4—1061no—
644C2×C4—1061no—
645C2×C4—1061no—
646C2×C4—1061no—
647C2×C4—1061no—
648C2×C4—1061no—
649C2×C4—1061no—
650C2×C4—4241no—
651C2×C4—4241no—
652C2×C4—4241no—
653C2×C4—4241no—
654C2×C4—2121no—
655C2×C4—2121no—
656C2×C4—2122no—
657C2×C4—2122no—
658C2×C4—2121no—
659C2×C4—2121no—
660C2×C4C22⋊C4×D5312yes—
661C2×C4C2×D4×D5312yes—
662C8—42no—
663C8—42no—
664C8—2122no—
665C8—2122no—
666C22—21no—
667C22—21no—
668C22—21no—
669C22—21no—
670C22—22no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—42no—
675C22—42no—
676C22—42no—
677C22—42no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—84no—
684C22—81no—
685C22—81no—
686C22—84no—
687C22—4241no—
688C22—4241no—
689C22—2121no—
690C22—2121no—
691C22—2121no—
692C22#1681059512yes—
693C22C2×C22⋊C4×D5311yescharacteristic
694C22C2×#1313322311yescharacteristic
695C22#1681138911yescharacteristic
696C4—22no—
697C4—22no—
698C4—41no—
699C4—41no—
700C4—1061no—
701C4—1061no—
702C4—1062no—
703C4—1061no—
704C4—1061no—
705C4—1062no—
706C4—2121no—
707C4—2121no—
708C4—2121no—
709C2—21no—
710C2—21no—
711C2—22no—
712C2—41no—
713C2—42no—
714C2—81no—
715C2—4241no—
716C2#2028316111yescharacteristic
717C2C2×#1681059511yescharacteristic
718C2#2028319111yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D53
commutatorC23×C53C23×C4
FrattiniC22×C4C23×D53
FittingC2×C53×#323C2
socleC22×C53C22×C22⋊C4
prime radicalC2×#13133186C4
cosocleC22×C4×C53C24
hypercenterC2×#323D53
hypocenterC53#17412
LCSG ▷ C23×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#323

Complements

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

NH ≅ G/Ntype
2. #20283369C2semidirect
3. #20273081C2semidirect
4. #20273065C2semidirect
5. #20273061C2semidirect
6. #20273054C2semidirect
7. #20273046C2semidirect
8. #20273042C2semidirect
9. #20273034C2semidirect
10. #20273026C2semidirect
11. C2×C53×#323C2semidirect
32. #16810677C22semidirect
33. #16810677C22semidirect
34. #16810673C22semidirect
35. #16810673C22semidirect
39. #16810348C22semidirect
40. #16810348C22semidirect
44. #16810346C22semidirect
45. #16810346C22semidirect
360. C2×#323D53semidirect
410. C53#17412semidirect

Maximal subgroups

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

subgroupindex
C2×#168112992
#202833692
#202730812
#202730652
#202730612
#202730542
#202730462
#202730422
#202730342
#202730262
C2×C53×#3232
#1741253