Finite Group Databasebeta

← #27390667

Subgroups — #27390667

Order 13568.

1098 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810851C211yesmaximal, characteristic
2C2×#16810723C211yesmaximal, characteristic, complemented
3C2×#97×D53C211yesmaximal, characteristic, complemented
4C4×#13133197C211yesmaximal, characteristic, complemented
5C4×#13133188C211yesmaximal, characteristic
6#20275597C211yesmaximal, characteristic, complemented
7#20275457C211yesmaximal, characteristic, complemented
8#20275414C211yesmaximal, characteristic, complemented
9#20275403C211yesmaximal, characteristic, complemented
10#20275140C211yesmaximal, characteristic
11#20275137C211yesmaximal, characteristic, complemented
12#20274743C211yesmaximal, characteristic, complemented
13#20274613C211yesmaximal, characteristic, complemented
14#20274546C211yesmaximal, characteristic, complemented
15C53×#1762C211yesmaximal, characteristic, complemented
16C22×#11719923C2211yescharacteristic
17C22×C8×D53C2211yescharacteristic
18C22×C8×D53C2211yescharacteristic
19C2×#13133197C2211yescharacteristic
20C2×#13133188C2211yescharacteristic
21C2×C4×Dic106C2211yescharacteristic
22C2×C4×C22⋊D53—21no—
23C2×C42×D53C2211yescharacteristic
24#16810851C418yescomplemented
25#16810723—24no—
26C2×#13133150C2211yescharacteristic
27C2×#13133150C2211yescharacteristic
28C2×#13133148C2211yescharacteristic
29C2×#13133142C2211yescharacteristic
30C2×#13133142C2211yescharacteristic
31C2×#13133140C2211yescharacteristic
32C2×#13133138C2211yescharacteristic
33C2×#13133128C2211yescharacteristic
34C2×#13133127C2211yescharacteristic
35C2×#13133127C2211yescharacteristic
36#97×D53—24no—
37#16810528C2211yescharacteristic
38#16810526C2211yescharacteristic
39#16810522C2211yescharacteristic
40#16810519C2211yescharacteristic
41#16810511—21no—
42#16810508—21no—
43#16810499—21no—
44#16810497—21no—
45#16810480C2211yescharacteristic
46#16810480C2211yescharacteristic
47C4×C4⋊Dic53—21no—
48C4×C4⋊Dic53C2211yescharacteristic
49C4×#11719921—21no—
50C4×C22⋊Dic53—21no—
51#16810386C2211yescharacteristic
52#16810386C2211yescharacteristic
53#16810385C2211yescharacteristic
54#16810385C2211yescharacteristic
55C2×C4×D4×C53C2211yescharacteristic
56C2×#102×C53C2211yescharacteristic
57C2×#102×C53C2211yescharacteristic
58C2×#97×C53C2211yescharacteristic
59C4×C4⋊C4×C53C2211yescharacteristic
60C53×#340C2211yescharacteristic
61C53×#340C2211yescharacteristic
62C22×Dic106C2311yescharacteristic
63C22×C22⋊D53—21no—
64C22×C4×D53D411yescharacteristic
65C22×C4×D53D411yescharacteristic
66C22×C4×D53C2311yescharacteristic
67C2×#11719923—22no—
68C2×#11719923—22no—
69C2×#11719923C2×C414yescomplemented
70C22×#88322C2311yescharacteristic
71C22×#88322C2311yescharacteristic
72C2×C8×D53—22no—
73C2×C8×D53—22no—
74C2×C8×D53—22no—
75C2×C8×D53—22no—
76C2×C8×D53—22no—
77C2×C8×D53C2×C414yescomplemented
78#13133197—22no—
79#13133197C2×C414yescomplemented
80#13133188—22no—
81#13133188C2×C414yes—
82C4×Dic106—22no—
83C4×Dic106—22no—
84C4×C22⋊D53—44no—
85C2×C4⋊Dic53—21no—
86C2×C4⋊Dic53—21no—
87C2×C4⋊Dic53C2311yescharacteristic
88C2×C4⋊Dic53C2311yescharacteristic
89C2×C4⋊Dic53C2311yescharacteristic
90C2×#11719919—21no—
91C2×#11719919—21no—
92C2×C22⋊Dic53—21no—
93C2×C22⋊Dic53—21no—
94C2×C22⋊Dic53—21no—
95C2×#11719921—21no—
96C2×#11719921—21no—
97C2×#11719921—21no—
98C2×C4×Dic53—21no—
99C2×C4×Dic53—21no—
100C2×C4×Dic53D411yescharacteristic
101C2×C4×Dic53D411yescharacteristic
102C2×C4×Dic53C2311yescharacteristic
103C42×D53—22no—
104C42×D53—22no—
105#13133150—22no—
106#13133150—22no—
107#13133148C2×C414yescomplemented
108#13133142—22no—
109#13133142C2×C414yescomplemented
110#13133140—22no—
111#13133138—22no—
112#13133128D414yescomplemented
113#13133127—22no—
114#13133127—22no—
115#13133124—21no—
116#13133124—21no—
117#13133124—21no—
118#13133124—21no—
119#13133124—21no—
120#13133124—21no—
121#13133124—21no—
122C22×D4×C53C2311yescharacteristic
123C23×C4×C53—21no—
124C22×C8×C53C2311yescharacteristic
125C22×C8×C53C2311yescharacteristic
126C4×D4×C53—22no—
127C4×D4×C53—22no—
128C2×C4⋊C4×C53C2311yescharacteristic
129C2×C4⋊C4×C53C2311yescharacteristic
130C2×C4⋊C4×C53C2311yescharacteristic
131C2×C22⋊C4×C53—21no—
132C2×C42×C53—21no—
133C2×C42×C53C2311yescharacteristic
134#102×C53—22no—
135#102×C53C2×C414yescomplemented
136#97×C53—22no—
137#95×C53—21no—
138C24×C53—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—42no—
151C22×C4×C53—42no—
152C22×C4×C53C2×D411yescharacteristic
153C22×C4×C53C2×D411yescharacteristic
154C22×C4×C53C2411yescharacteristic
155C2×C22⋊D53—24no—
156C2×C22⋊D53—42no—
157C2×C22⋊D53—42no—
158C22×Dic53—21no—
159C22×Dic53—21no—
160C22×Dic53—21no—
161C22×Dic53—21no—
162C22×Dic53C2×D411yescharacteristic
163C22×Dic53C2×D411yescharacteristic
164C22×Dic53C2×D411yescharacteristic
165C2×C4×D53—21no—
166C2×C4×D53—21no—
167C2×C4×D53—21no—
168C2×C4×D53—21no—
169C2×C4×D53—22no—
170C2×C4×D53—22no—
171C2×C4×D53—22no—
172C2×C4×D53—22no—
173C2×C4×D53—41no—
174C2×C4×D53—41no—
175C2×C4×D53C22×C412yes—
176C2×C4×D53#4112yes—
177C2×Dic106—21no—
178C2×Dic106—21no—
179C2×Dic106—21no—
180C2×Dic106—21no—
181C2×Dic106—21no—
182C2×Dic106C22×C412yes—
183C2×C8×C53—21no—
184C2×C8×C53—21no—
185C2×C8×C53—21no—
186C2×C8×C53—21no—
187C2×C8×C53C22×C412yes—
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—42no—
196C42×C53—42no—
197C42×C53C2×D412yes—
198C42×C53#4112yes—
199C22⋊Dic53—24no—
200C22⋊Dic53—42no—
201C22⋊Dic53—42no—
202#11719923—28no—
203#11719921—24no—
204#11719921—42no—
205#11719921—42no—
206C4⋊Dic53—21no—
207C4⋊Dic53—24no—
208C4⋊Dic53—21no—
209C4⋊Dic53—21no—
210C4⋊Dic53—21no—
211C4⋊Dic53—21no—
212C4⋊Dic53—42no—
213C4⋊Dic53C22×C412yes—
214#11719919—42no—
215#11719919—42no—
216C4×Dic53—22no—
217C4×Dic53—22no—
218C4×Dic53—21no—
219C4×Dic53—21no—
220C4×Dic53—42no—
221C4×Dic53—42no—
222C2×#88322—21no—
223C2×#88322—21no—
224C2×#88322C22×C412yes—
225C2×#88322C2×D412yes—
226C2×#88322C2×D412yes—
227C2×#88322#4112yes—
228C8×D53—28no—
229C8×D53—28no—
230C23×C53—22no—
231C23×C53—41no—
232C23×C53—41no—
233C23×C53—41no—
234C23×C53—41no—
235C23×C53—41no—
236C23×C53—41no—
237C23×C53C22×D411yescharacteristic
238C22×D53—21no—
239C22×D53—21no—
240C22×D53—21no—
241C22×D53—21no—
242C22×D53C4×D412yes—
243C22×D53AGL(1,ℤ/8)12yes—
244C22×D53#13712yes—
245D4×C53—22no—
246D4×C53—22no—
247D4×C53—41no—
248D4×C53—41no—
249C2×C4×C53—21no—
250C2×C4×C53—21no—
251C2×C4×C53—21no—
252C2×C4×C53—21no—
253C2×C4×C53—22no—
254C2×C4×C53—41no—
255C2×C4×C53—41no—
256C2×C4×C53—41no—
257C2×C4×C53—41no—
258C2×C4×C53—41no—
259C2×C4×C53—41no—
260C2×C4×C53—41no—
261C2×C4×C53—41no—
262C2×C4×C53—84no—
263C2×C4×C53#12112yes—
264C2×C4×C53#12112yes—
265C2×C4×C53C23×C411yescharacteristic
266C2×C4×C53C22×D411yescharacteristic
267C2×C4×C53C2×#4111yescharacteristic
268C2×C4×C53C2×#4111yescharacteristic
269C2×C4×C53C2×#4111yescharacteristic
270C2×C4×C53C2×#4111yescharacteristic
271C22⋊D53—48no—
272C2×Dic53—21no—
273C2×Dic53—21no—
274C2×Dic53—22no—
275C2×Dic53—22no—
276C2×Dic53—21no—
277C2×Dic53—21no—
278C2×Dic53—21no—
279C2×Dic53—21no—
280C2×Dic53—21no—
281C2×Dic53—21no—
282C2×Dic53—41no—
283C2×Dic53—41no—
284C2×Dic53—41no—
285C2×Dic53—41no—
286C2×Dic53—41no—
287C2×Dic53—41no—
288C2×Dic53—41no—
289C2×Dic53—41no—
290C2×Dic53—41no—
291C2×Dic53—41no—
292C2×Dic53C4×D412yes—
293C4×D53—22no—
294C4×D53—22no—
295C4×D53—22no—
296C4×D53—22no—
297C4×D53—44no—
298C4×D53—44no—
299Dic106—22no—
300Dic106—22no—
301Dic106—41no—
302Dic106—41no—
303C8×C53—22no—
304C8×C53—22no—
305#88322—22no—
306#88322C4×D414yescomplemented
307#21528—531nomaximal, Sylow
308C22×C53—42no—
309C22×C53—42no—
310C22×C53—42no—
311C22×C53—81no—
312C22×C53—81no—
313C22×C53—81no—
314C22×C53—81no—
315C22×C53C2×C4×D411yescharacteristic
316C22×C53C2×#12111yescharacteristic
317C22×C53#53211yescharacteristic
318C22×C53C2×AGL(1,ℤ/8)11yescharacteristic
319C22×C53C2×#13711yescharacteristic
320C22×C53#57511yescharacteristic
321C22×C53#57511yescharacteristic
322C2×D53—22no—
323C2×D53—22no—
324C2×D53—22no—
325C2×D53—22no—
326C2×D53—22no—
327C2×D53—22no—
328C2×D53#44014yescomplemented
329C4×C53—22no—
330C4×C53—22no—
331C4×C53—42no—
332C4×C53—81no—
333C4×C53—81no—
334C4×C53C2×C4×D411yescharacteristic
335C4×C53C4×#4111yescharacteristic
336C4×C53#52511yescharacteristic
337C4×C53#52911yescharacteristic
338Dic53—22no—
339Dic53—42no—
340Dic53—41no—
341Dic53—41no—
342Dic53—42no—
343Dic53—81no—
344Dic53—81no—
345C2×#465—531no—
346C2×#440—531no—
347C22×#97—531no—
348C4×C22⋊Q8—531no—
349C4×#121—531no—
350#1973—531no—
351#1944—531no—
352#1936—531no—
353#1935—531no—
354#1893—531no—
355#1892—531no—
356#1808—531no—
357#1776—531no—
358#1763—531no—
359#1762D5311yescharacteristic, complemented
360C2×C53—82no—
361C2×C53C4×#12111yescharacteristic
362C2×C53C2×#44011yescharacteristic
363C2×C53#294311yescharacteristic
364C2×C53#305511yescharacteristic
365C2×C53#305611yescharacteristic
366C2×C53#318011yescharacteristic
367C2×C53#318111yescharacteristic
368D53—24no—
369C22×SD16—531no—
370C23×C8—531no—
371C23×C8—531no—
372C2×C22⋊Q8—531no—
373C2×#121—531no—
374C2×C4×Q8—531no—
375C2×C4×D4—1061no—
376C2×C4×D4C2×D5311yescharacteristic
377C22×C42—531no—
378#465—538no—
379#440—1064no—
380C2×#107—531no—
381C2×#107—531no—
382C2×#106—531no—
383C2×#103—531no—
384C2×#103—531no—
385C2×#103—531no—
386C2×#102—531no—
387C2×#102C2×D5311yescharacteristic
388C2×#102C2×D5311yescharacteristic
389C2×#97—531no—
390C2×#97—531no—
391C2×#97—531no—
392C2×#97—1064no—
393C2×#97C2×D5311yescharacteristic
394#391—531no—
395#390—531no—
396#389—531no—
397#389—531no—
398#388—1061no—
399#387—1061no—
400#386—1061no—
401#385—1061no—
402#380—531no—
403#380—531no—
404C4×C4⋊C4—531no—
405C4×C4⋊C4—1061no—
406C4×C4⋊C4C2×D5311yescharacteristic
407C4×C22⋊C4—1061no—
408C4×C22⋊C4—1061no—
409#340—531no—
410#340—531no—
411#340—531no—
412#340—531no—
413#340C2×D5311yescharacteristic
414#340C2×D5311yescharacteristic
415C53#2152811yescharacteristic, complemented, Sylow
416C22×Q8—531no—
417C22×D4—1061no—
418C22×D4C22×D5311yescharacteristic
419C23×C4—21no—
420C23×C4—531no—
421C23×C4—531no—
422C23×C4—531no—
423C2×SD16—534no—
424C2×SD16—1062no—
425C2×SD16—1062no—
426C22×C8—531no—
427C22×C8—531no—
428C22×C8—534no—
429C22×C8—1062no—
430C22×C8—1062no—
431C22×C8—1062no—
432C22×C8—1062no—
433C22×C8—1062no—
434C22×C8C22×D5311yescharacteristic
435C22×C8C22×D5311yescharacteristic
436C22⋊Q8—534no—
437C22⋊Q8—1062no—
438#121—534no—
439#121—1062no—
440C4×Q8—1062no—
441C4×Q8—1062no—
442C4×D4—22no—
443C4×D4—22no—
444C4×D4—2124no—
445C2×C4⋊C4—531no—
446C2×C4⋊C4—531no—
447C2×C4⋊C4—531no—
448C2×C4⋊C4—1061no—
449C2×C4⋊C4—1061no—
450C2×C4⋊C4—1061no—
451C2×C4⋊C4—1061no—
452C2×C4⋊C4C22×D5311yescharacteristic
453C2×C4⋊C4C22×D5311yescharacteristic
454C2×C4⋊C4C22×D5311yescharacteristic
455C2×C22⋊C4—21no—
456C2×C22⋊C4—1061no—
457C2×C22⋊C4—1061no—
458C2×C22⋊C4—1061no—
459C2×C22⋊C4—1061no—
460C2×C22⋊C4—1061no—
461C2×C22⋊C4—1061no—
462C2×C42—21no—
463C2×C42—531no—
464C2×C42—531no—
465C2×C42—531no—
466C2×C42—1062no—
467C2×C42—1062no—
468C2×C42—1061no—
469C2×C42—1061no—
470C2×C42C22×D5311yescharacteristic
471#107—1062no—
472#107—1062no—
473#106—534no—
474#103—534no—
475#103—1062no—
476#103—1062no—
477#102—22no—
478#102—1062no—
479#102C4×D5314yescomplemented
480#97—22no—
481#97—534no—
482#97—1062no—
483#97—1062no—
484#95—21no—
485#95—1061no—
486#95—1061no—
487#95—1061no—
488#95—1061no—
489#95—1061no—
490#95—1061no—
491#95—1061no—
492C24—21no—
493C24—531no—
494C2×Q8—532no—
495C2×Q8—1061no—
496C2×Q8—1061no—
497C2×Q8—1061no—
498C2×Q8—1061no—
499C2×Q8—1061no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—1064no—
506C2×D4—2122no—
507C2×D4—2122no—
508C2×D4C2×C4×D5312yes—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—531no—
516C22×C4—532no—
517C22×C4—532no—
518C22×C4—531no—
519C22×C4—531no—
520C22×C4—1062no—
521C22×C4—1062no—
522C22×C4—1061no—
523C22×C4—1061no—
524C22×C4—1061no—
525C22×C4—1061no—
526C22×C4—1061no—
527C22×C4—1061no—
528C22×C4—1062no—
529C22×C4—1062no—
530C22×C4—1061no—
531C22×C4—1061no—
532C22×C4—2121no—
533C22×C4—2121no—
534C22×C4D4×D5311yescharacteristic
535C22×C4D4×D5311yescharacteristic
536C22×C4C23×D5311yescharacteristic
537SD16—1068no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—532no—
543C2×C8—532no—
544C2×C8—532no—
545C2×C8—532no—
546C2×C8—1068no—
547C2×C8—1068no—
548C2×C8—1061no—
549C2×C8—1061no—
550C2×C8C2×C4×D5312yes—
551C2×C8#1171994512yes—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—532no—
558C4⋊C4—1064no—
559C4⋊C4—1061no—
560C4⋊C4—1061no—
561C4⋊C4—1061no—
562C4⋊C4—1061no—
563C4⋊C4—1061no—
564C4⋊C4—2122no—
565C4⋊C4—2122no—
566C4⋊C4—2122no—
567C4⋊C4C2×C4×D5312yes—
568C22⋊C4—42no—
569C22⋊C4—1064no—
570C22⋊C4—1064no—
571C22⋊C4—2122no—
572C22⋊C4—2122no—
573C22⋊C4—2122no—
574C22⋊C4—2122no—
575C42—42no—
576C42—1062no—
577C42—1062no—
578C42—1061no—
579C42—1061no—
580C42—2122no—
581C42—2122no—
582C42#1171994512yes—
583C42D4×D5312yes—
584C23—22no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—532no—
592C23—532no—
593C23—532no—
594C23—1061no—
595C23—1061no—
596C23—1061no—
597C23—1061no—
598C23C2×D4×D5311yescharacteristic
599Q8—1062no—
600Q8—1062no—
601Q8—2121no—
602Q8—2121no—
603D4—22no—
604D4—22no—
605D4—41no—
606D4—41no—
607D4—2128no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4—532no—
623C2×C4—1061no—
624C2×C4—1061no—
625C2×C4—1062no—
626C2×C4—1062no—
627C2×C4—1062no—
628C2×C4—1062no—
629C2×C4—1062no—
630C2×C4—1062no—
631C2×C4—1061no—
632C2×C4—1061no—
633C2×C4—1061no—
634C2×C4—1061no—
635C2×C4—1061no—
636C2×C4—1061no—
637C2×C4—2124no—
638C2×C4—2124no—
639C2×C4—2121no—
640C2×C4—2121no—
641C2×C4—2121no—
642C2×C4—2121no—
643C2×C4—2121no—
644C2×C4—2121no—
645C2×C4—2121no—
646C2×C4—2121no—
647C2×C4—2121no—
648C2×C4—2121no—
649C2×C4#1313319012yes—
650C2×C4#1313319012yes—
651C2×C4C22×C4×D5311yescharacteristic
652C2×C4C2×D4×D5311yescharacteristic
653C2×C4#41×D5311yescharacteristic
654C2×C4#41×D5311yescharacteristic
655C2×C4C2×#1171994511yescharacteristic
656C2×C4C2×#1171994511yescharacteristic
657C8—22no—
658C8—22no—
659C8—534no—
660C8—1062no—
661C22—42no—
662C22—42no—
663C22—42no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—534no—
669C22—1062no—
670C22—1062no—
671C22—1062no—
672C22—1062no—
673C22—1062no—
674C22—1062no—
675C22C4×D4×D5311yescharacteristic
676C22C2×#1313319011yescharacteristic
677C22#1681117011yescharacteristic
678C22AGL(1,ℤ/8)×D5311yescharacteristic
679C22#137×D5311yescharacteristic
680C22#1681141911yescharacteristic
681C22#1681141911yescharacteristic
682C4—22no—
683C4—22no—
684C4—42no—
685C4—81no—
686C4—81no—
687C4—1062no—
688C4—4241no—
689C4—4241no—
690C4—2122no—
691C4—2121no—
692C4—2121no—
693C4—2122no—
694C4C4×D4×D5311yescharacteristic
695C4C4×#1171994511yescharacteristic
696C4#1681113211yescharacteristic
697C4#1681115111yescharacteristic
698C2—82no—
699C2—1064no—
700C2C4×#1313319011yescharacteristic
701C2#440×D5311yescharacteristic
702C2#2028351211yescharacteristic
703C2#2028433211yescharacteristic
704C2#2028434811yescharacteristic
705C2#2028541111yescharacteristic
706C2#2028542011yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#1762C2
socleC23×C53C22×D4
prime radicalC2×#13133188C22
cosocleC22×C4×C53C24
hypercenter#1762D53
hypocenterC53#21528
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1762

Complements

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

NH ≅ G/Ntype
2. C2×#16810723C2semidirect
3. C2×#97×D53C2semidirect
4. C4×#13133197C2semidirect
6. #20275597C2semidirect
7. #20275457C2semidirect
8. #20275414C2semidirect
9. #20275403C2semidirect
11. #20275137C2semidirect
12. #20274743C2semidirect
13. #20274613C2semidirect
14. #20274546C2semidirect
15. C53×#1762C2semidirect
24. #16810851C4semidirect
69. C2×#11719923C2×C4semidirect
77. C2×C8×D53C2×C4semidirect
79. #13133197C2×C4semidirect
107. #13133148C2×C4semidirect
109. #13133142C2×C4semidirect
112. #13133128D4semidirect
135. #102×C53C2×C4semidirect
306. #88322C4×D4semidirect
328. C2×D53#440semidirect
359. #1762D53semidirect
415. C53#21528semidirect
479. #102C4×D53semidirect

Maximal subgroups

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

subgroupindex
C2×#168108512
C2×#168107232
C2×#97×D532
C4×#131331972
C4×#131331882
#202755972
#202754572
#202754142
#202754032
#202751402
#202751372
#202747432
#202746132
#202745462
C53×#17622
#2152853