Finite Group Databasebeta

← #27384841

Subgroups — #27384841

Order 13568.

1630 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#117×D53C211yesmaximal, characteristic
2C2×#16810666C211yesmaximal, characteristic, complemented
3C2×#16810665C211yesmaximal, characteristic, complemented
4C2×#16810586C211yesmaximal, characteristic
5C2×#16810480C211yesmaximal, characteristic
6#20274917C212yesmaximal, complemented
7#20274915C212yesmaximal, complemented
8#20274909C212yesmaximal, complemented
9#20274904C212yesmaximal, complemented
10#20274434C211yesmaximal, characteristic, complemented
11C53×#1736C211yesmaximal, characteristic, complemented
12C23×C4×D53C2211yescharacteristic
13C22×#11719917C2211yescharacteristic
14C2×#13133176C2211yescharacteristic
15C2×#13133175C2211yescharacteristic
16C2×#13133175C2211yescharacteristic
17C2×#13133174—21no—
18C2×#13133173—21no—
19#117×D53—24no—
20#117×D53—24no—
21C22×C4⋊Dic53C2211yescharacteristic
22C2×C4⋊C4×D53C2211yescharacteristic
23C2×C4⋊C4×D53C2211yescharacteristic
24C22×#11719921—21no—
25C2×C22⋊C4×D53—21no—
26C2×C42×D53—21no—
27#16810666—24no—
28#16810665—24no—
29C2×#13133151C2212yescomplemented
30C2×#13133150C2212yescomplemented
31C2×#13133149C2212yescomplemented
32C2×#13133148C2212yescomplemented
33#16810586C418yescomplemented
34C2×#13133129C2212yes—
35C2×#13133129C2212yes—
36#16810480—21no—
37#16810480—21no—
38#16810480C2212yes—
39#16810480C2212yes—
40C2×#13133124—21no—
41#16810385C2212yescomplemented
42#16810385C2212yescomplemented
43C22×M16×C53C2211yescharacteristic
44C2×#117×C53C2211yescharacteristic
45C22×C4⋊C4×C53C2211yescharacteristic
46C53×#340C2212yescomplemented
47C53×#340C2212yescomplemented
48C24×D53D411yescharacteristic
49C23×Dic53—21no—
50C23×Dic53D411yescharacteristic
51C22×C4×D53—22no—
52C22×C4×D53—22no—
53C22×C4×D53—22no—
54C22×C4×D53—22no—
55C22×C4×D53—21no—
56C22×C4×D53—21no—
57C22×C4×D53C2×C414yes—
58C22×C4×D53D411yescharacteristic
59C22×C4×D53D411yescharacteristic
60C22×C4×D53Q814yes—
61C22×C4×D53C2311yescharacteristic
62C22×C4×D53C2311yescharacteristic
63C2×#11719917—22no—
64C2×#11719917—22no—
65C2×#11719917C2×C414yescomplemented
66C22×#88322C2312yes—
67#13133176—22no—
68#13133176D414yes—
69#13133175—22no—
70#13133175—22no—
71#13133175—22no—
72#13133175—22no—
73#13133174—28no—
74#13133173—28no—
75C2×C4⋊Dic53—21no—
76C2×C4⋊Dic53—22no—
77C2×C4⋊Dic53—22no—
78C2×C4⋊Dic53C2312yes—
79C2×C4⋊Dic53C2311yescharacteristic
80C2×C4⋊Dic53C2311yescharacteristic
81C2×#11719919—21no—
82C2×#11719919—21no—
83C4⋊C4×D53—22no—
84C4⋊C4×D53—22no—
85C4⋊C4×D53—22no—
86C4⋊C4×D53—22no—
87C2×C22⋊Dic53—21no—
88C2×#11719921—21no—
89C2×#11719921—21no—
90C2×#11719921—22no—
91C2×#11719921—22no—
92C2×#11719921—44no—
93C22⋊C4×D53—28no—
94C2×C4×Dic53—21no—
95C2×C4×Dic53—21no—
96C2×C4×Dic53—21no—
97C42×D53—28no—
98#13133151—24no—
99#13133150—24no—
100#13133149—24no—
101#13133148—24no—
102#13133129C2×C418yescomplemented
103#13133129C2×C418yescomplemented
104#13133124—22no—
105#13133124—22no—
106C23×C4×C53—21no—
107C23×C4×C53C2311yescharacteristic
108C2×M16×C53—22no—
109C2×M16×C53—22no—
110C2×M16×C53C2×C414yescomplemented
111C22×C8×C53C2312yes—
112#117×C53—22no—
113#117×C53D414yes—
114C2×C4⋊C4×C53—21no—
115C2×C4⋊C4×C53—22no—
116C2×C4⋊C4×C53—22no—
117C2×C4⋊C4×C53C2312yes—
118C2×C4⋊C4×C53C2311yescharacteristic
119C2×C4⋊C4×C53C2311yescharacteristic
120C2×C22⋊C4×C53—21no—
121C2×C42×C53—21no—
122C24×C53C2×D411yescharacteristic
123C23×D53—22no—
124C23×D53—22no—
125C23×D53—22no—
126C23×D53—22no—
127C23×D53—41no—
128C23×D53—41no—
129C23×D53C4⋊C414yes—
130C23×D53C2×D411yescharacteristic
131C23×D53C2×D411yescharacteristic
132C22×C4×C53—21no—
133C22×C4×C53—21no—
134C22×C4×C53—22no—
135C22×C4×C53—42no—
136C22×C4×C53—42no—
137C22×C4×C53—42no—
138C22×C4×C53C22×C412yes—
139C22×C4×C53C2×D411yescharacteristic
140C22×C4×C53C2×D412yes—
141C22×C4×C53C2×D412yes—
142C22×C4×C53C2×Q812yes—
143C22×C4×C53#4112yes—
144C22×C4×C53#4112yes—
145C22×C4×C53C2411yescharacteristic
146C22×Dic53—22no—
147C22×Dic53—22no—
148C22×Dic53—21no—
149C22×Dic53—21no—
150C22×Dic53—22no—
151C22×Dic53—42no—
152C22×Dic53—42no—
153C22×Dic53—42no—
154C22×Dic53C4⋊C414yes—
155C22×Dic53C2×D411yescharacteristic
156C22×Dic53C2×D411yescharacteristic
157C2×C4×D53—28no—
158C2×C4×D53—28no—
159C2×C4×D53—22no—
160C2×C4×D53—22no—
161C2×C4×D53—28no—
162C2×C4×D53—28no—
163C2×C4×D53—22no—
164C2×C4×D53—22no—
165C2×C4×D53—21no—
166C2×C4×D53—21no—
167C2×C4×D53—21no—
168C2×C4×D53—21no—
169C2×C4×D53—21no—
170C2×C4×D53—21no—
171C2×C4×D53—21no—
172C2×C4×D53—21no—
173C2×C4×D53—24no—
174C2×C4×D53—24no—
175C2×C4×D53—42no—
176C2×C4×D53—42no—
177C2×C4×D53—42no—
178C2×C4×D53—42no—
179C2×C4×D53C4⋊C414yes—
180C2×C4×D53C4⋊C414yes—
181C2×C4×D53C22×C412yes—
182C2×C4×D53C22×C412yes—
183C2×C4×D53C2×Q812yes—
184C2×C4×D53C2×Q812yes—
185M16×C53—28no—
186C2×C8×C53—22no—
187C2×C8×C53—22no—
188C2×C8×C53C22×C414yes—
189C4⋊C4×C53—21no—
190C4⋊C4×C53—21no—
191C4⋊C4×C53—22no—
192C4⋊C4×C53—22no—
193C4⋊C4×C53—42no—
194C4⋊C4×C53C2×D412yes—
195C4⋊C4×C53C2×D412yes—
196C22⋊C4×C53—24no—
197C42×C53—24no—
198C22⋊Dic53—24no—
199#11719921—24no—
200#11719921—24no—
201#11719921—44no—
202#11719921—44no—
203C4⋊Dic53—21no—
204C4⋊Dic53—21no—
205C4⋊Dic53—22no—
206C4⋊Dic53—22no—
207C4⋊Dic53—42no—
208C4⋊Dic53C2×D412yes—
209C4⋊Dic53C2×D412yes—
210#11719919—24no—
211#11719919—24no—
212C4×Dic53—24no—
213C4×Dic53—24no—
214C4×Dic53—24no—
215#11719917—28no—
216C2×#88322—22no—
217C2×#88322—22no—
218C2×#88322C22×C414yes—
219C23×C53—21no—
220C23×C53—21no—
221C23×C53—21no—
222C23×C53—21no—
223C23×C53C2×C4⋊C412yes—
224C23×C53#12012yes—
225C23×C53#12312yes—
226C23×C53C22×D411yescharacteristic
227C22×D53—21no—
228C22×D53—21no—
229C22×D53—21no—
230C22×D53—21no—
231C22×D53—21no—
232C22×D53—21no—
233C22×D53—21no—
234C22×D53—21no—
235C22×D53—21no—
236C22×D53—21no—
237C22×D53—28no—
238C22×D53—28no—
239C22×D53—44no—
240C22×D53—44no—
241C22×D53—44no—
242C22×D53—44no—
243C22×D53—44no—
244C22×D53C2×C4⋊C412yes—
245C22×D53C2×C4⋊C412yes—
246C22×D53AGL(1,ℤ/8)12yes—
247C22×D53#13712yes—
248C2×C4×C53—22no—
249C2×C4×C53—22no—
250C2×C4×C53—41no—
251C2×C4×C53—41no—
252C2×C4×C53—41no—
253C2×C4×C53—41no—
254C2×C4×C53—42no—
255C2×C4×C53—42no—
256C2×C4×C53—42no—
257C2×C4×C53—84no—
258C2×C4×C53C2×C4⋊C412yes—
259C2×C4×C53C4×D414yes—
260C2×C4×C53C4×D414yes—
261C2×C4×C53#12012yes—
262C2×C4×C53C22⋊Q814yes—
263C2×C4×C53C22⋊Q814yes—
264C2×C4×C53#12312yes—
265C2×C4×C53C23×C411yescharacteristic
266C2×C4×C53C22×D411yescharacteristic
267C2×C4×C53C22×D411yescharacteristic
268C2×C4×C53C22×Q811yescharacteristic
269C2×C4×C53C2×#4111yescharacteristic
270C2×C4×C53C2×#4111yescharacteristic
271C2×Dic53—21no—
272C2×Dic53—21no—
273C2×Dic53—21no—
274C2×Dic53—21no—
275C2×Dic53—28no—
276C2×Dic53—22no—
277C2×Dic53—22no—
278C2×Dic53—41no—
279C2×Dic53—41no—
280C2×Dic53—41no—
281C2×Dic53—41no—
282C2×Dic53—42no—
283C2×Dic53—42no—
284C2×Dic53—42no—
285C2×Dic53—84no—
286C2×Dic53C2×C4⋊C412yes—
287C2×Dic53C2×C4⋊C412yes—
288C4×D53—22no—
289C4×D53—22no—
290C4×D53—22no—
291C4×D53—22no—
292C4×D53—22no—
293C4×D53—22no—
294C4×D53—22no—
295C4×D53—22no—
296C4×D53—28no—
297C4×D53—28no—
298C4×D53—48no—
299C4×D53—48no—
300C8×C53—24no—
301#88322—24no—
302#20846—531nomaximal, Sylow
303C22×C53—22no—
304C22×C53—22no—
305C22×C53—22no—
306C22×C53—22no—
307C22×C53—22no—
308C22×C53—22no—
309C22×C53#38514yes—
310C22×C53C22×C4⋊C411yescharacteristic
311C22×C53C2×#12011yescharacteristic
312C22×C53C2×#12311yescharacteristic
313C22×C53C2×AGL(1,ℤ/8)11yescharacteristic
314C22×C53C2×#13711yescharacteristic
315C22×C53#57511yescharacteristic
316C22×C53#57511yescharacteristic
317C2×D53—22no—
318C2×D53—22no—
319C2×D53—22no—
320C2×D53—22no—
321C2×D53—22no—
322C2×D53—22no—
323C2×D53—22no—
324C2×D53—22no—
325C2×D53—22no—
326C2×D53—416no—
327C2×D53—41no—
328C2×D53—41no—
329C2×D53—41no—
330C2×D53—41no—
331C2×D53#42814yescomplemented
332C4×C53—42no—
333C4×C53—42no—
334C4×C53—82no—
335C4×C53#38514yes—
336C4×C53C2×C4×D411yescharacteristic
337C4×C53C2×C4×D411yescharacteristic
338C4×C53C2×C22⋊Q811yescharacteristic
339C4×C53C2×C22⋊Q811yescharacteristic
340Dic53—22no—
341Dic53—22no—
342Dic53—42no—
343Dic53—42no—
344Dic53—82no—
345C22×#117—531no—
346C2×#428—531no—
347C2×#428—531no—
348C2×#407—531no—
349C2×#380—531no—
350#1854—532no—
351#1854—532no—
352#1853—532no—
353#1852—532no—
354#1736—531no—
355#1736D5311yescharacteristic, complemented
356C2×C53—24no—
357C2×C53C2×#38511yescharacteristic
358C2×C53C2×#42811yescharacteristic
359C2×C53#291111yescharacteristic
360C2×C53#300611yescharacteristic
361C2×C53#300711yescharacteristic
362C2×C53#309411yescharacteristic
363C2×C53#309511yescharacteristic
364D53—24no—
365D53—42no—
366C24×C4—531no—
367C22×M16—531no—
368C22×M16C2×D5311yescharacteristic
369C2×#117—531no—
370C2×#117—531no—
371C2×#117—531no—
372C2×#117—1061no—
373C2×#117—1061no—
374C2×#117—1064no—
375C2×#117—1064no—
376C2×#117C2×D5311yescharacteristic
377C22×C4⋊C4—531no—
378C22×C4⋊C4—531no—
379C22×C4⋊C4—531no—
380C22×C4⋊C4C2×D5311yescharacteristic
381C22×C22⋊C4—1061no—
382C22×C22⋊C4—1061no—
383C22×C42—1061no—
384#428—1064no—
385#428—1064no—
386C2×#107—532no—
387C2×#107—532no—
388C2×#106—532no—
389C2×#106—532no—
390#407—538no—
391C2×C22⋊C8—532no—
392C2×C22⋊C8—532no—
393#380—532no—
394#380—532no—
395#380—1061no—
396#380—1061no—
397C2×#95—1061no—
398#340—532no—
399#340—532no—
400#340C2×D5312yescomplemented
401#340C2×D5312yescomplemented
402C53#2084611yescharacteristic, complemented, Sylow
403C25—531no—
404C23×C4—21no—
405C23×C4—531no—
406C23×C4—534no—
407C23×C4—531no—
408C23×C4—531no—
409C23×C4—534no—
410C23×C4—531no—
411C23×C4—531no—
412C23×C4—1061no—
413C23×C4—1061no—
414C23×C4—1062no—
415C23×C4—1062no—
416C23×C4—1062no—
417C23×C4—1062no—
418C23×C4—1061no—
419C23×C4C22×D5311yescharacteristic
420C2×M16—22no—
421C2×M16—22no—
422C2×M16—534no—
423C2×M16—1062no—
424C2×M16—1062no—
425C2×M16C4×D5314yescomplemented
426C22×C8—532no—
427C22×C8C22×D5312yes—
428#117—22no—
429#117—534no—
430#117—1068no—
431#117—1068no—
432#117—1062no—
433#117—1062no—
434#117—1062no—
435#117—1062no—
436#117—1062no—
437#117D21214yes—
438C2×C4⋊C4—22no—
439C2×C4⋊C4—22no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—531no—
442C2×C4⋊C4—531no—
443C2×C4⋊C4—532no—
444C2×C4⋊C4—1062no—
445C2×C4⋊C4—1062no—
446C2×C4⋊C4—1061no—
447C2×C4⋊C4—1061no—
448C2×C4⋊C4—1062no—
449C2×C4⋊C4—1062no—
450C2×C4⋊C4—1062no—
451C2×C4⋊C4—1062no—
452C2×C4⋊C4—1061no—
453C2×C4⋊C4C22×D5312yes—
454C2×C4⋊C4C22×D5311yescharacteristic
455C2×C4⋊C4C22×D5311yescharacteristic
456C2×C22⋊C4—21no—
457C2×C22⋊C4—1068no—
458C2×C22⋊C4—1061no—
459C2×C22⋊C4—1061no—
460C2×C22⋊C4—1061no—
461C2×C22⋊C4—1062no—
462C2×C22⋊C4—1062no—
463C2×C22⋊C4—2124no—
464C2×C42—21no—
465C2×C42—1068no—
466C2×C42—1061no—
467C2×C42—1061no—
468C2×C42—1061no—
469#107—1064no—
470#107—1064no—
471#106—1064no—
472#106—1064no—
473C22⋊C8—538no—
474C22⋊C8—538no—
475#95—1062no—
476#95—1062no—
477C24—531no—
478C24—531no—
479C24—534no—
480C24—1062no—
481C24—1062no—
482C24—1062no—
483C24—1062no—
484C24—2121no—
485C24—2121no—
486C24D4×D5311yescharacteristic
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—22no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—534no—
494C22×C4—531no—
495C22×C4—531no—
496C22×C4—534no—
497C22×C4—534no—
498C22×C4—532no—
499C22×C4—532no—
500C22×C4—532no—
501C22×C4—532no—
502C22×C4—1064no—
503C22×C4—1064no—
504C22×C4—1062no—
505C22×C4—1062no—
506C22×C4—1068no—
507C22×C4—1068no—
508C22×C4—1062no—
509C22×C4—1062no—
510C22×C4—1068no—
511C22×C4—1068no—
512C22×C4—1062no—
513C22×C4—1062no—
514C22×C4—1061no—
515C22×C4—1061no—
516C22×C4—1061no—
517C22×C4—1061no—
518C22×C4—1061no—
519C22×C4—1061no—
520C22×C4—1061no—
521C22×C4—1061no—
522C22×C4—1061no—
523C22×C4—1061no—
524C22×C4—1062no—
525C22×C4—2122no—
526C22×C4—2122no—
527C22×C4—2122no—
528C22×C4—2122no—
529C22×C4—2122no—
530C22×C4—2122no—
531C22×C4—2122no—
532C22×C4C2×C4×D5312yes—
533C22×C4C2×D21212yes—
534C22×C4#1171994512yes—
535C22×C4D4×D5311yescharacteristic
536C22×C4D4×D5312yes—
537C22×C4#1171994712yes—
538C22×C4Q8×D5312yes—
539C22×C4C23×D5311yescharacteristic
540M16—28no—
541M16—1068no—
542C2×C8—22no—
543C2×C8—22no—
544C2×C8—534no—
545C2×C8—1062no—
546C2×C8—1062no—
547C2×C8C2×C4×D5314yes—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—42no—
553C4⋊C4—532no—
554C4⋊C4—532no—
555C4⋊C4—1064no—
556C4⋊C4—1064no—
557C4⋊C4—1061no—
558C4⋊C4—1061no—
559C4⋊C4—1062no—
560C4⋊C4—1062no—
561C4⋊C4—2122no—
562C4⋊C4C2×D21212yes—
563C4⋊C4C2×D21212yes—
564C22⋊C4—24no—
565C22⋊C4—1064no—
566C22⋊C4—1064no—
567C22⋊C4—1064no—
568C22⋊C4—2124no—
569C22⋊C4—2124no—
570C42—24no—
571C42—1064no—
572C42—1064no—
573C42—1064no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—532no—
579C23—532no—
580C23—532no—
581C23—532no—
582C23—1068no—
583C23—1061no—
584C23—1061no—
585C23—1061no—
586C23—1061no—
587C23—1068no—
588C23—1061no—
589C23—1061no—
590C23—1061no—
591C23—1061no—
592C23—1061no—
593C23—1061no—
594C23—2124no—
595C23—2124no—
596C23—2124no—
597C23—2124no—
598C23—2124no—
599C23C4⋊C4×D5312yes—
600C23#1313318712yes—
601C23#1313319912yes—
602C23C2×D4×D5311yescharacteristic
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—42no—
612C2×C4—84no—
613C2×C4—532no—
614C2×C4—532no—
615C2×C4—1068no—
616C2×C4—1061no—
617C2×C4—1061no—
618C2×C4—1061no—
619C2×C4—1061no—
620C2×C4—1068no—
621C2×C4—1068no—
622C2×C4—1062no—
623C2×C4—1062no—
624C2×C4—1062no—
625C2×C4—1062no—
626C2×C4—1062no—
627C2×C4—1062no—
628C2×C4—1062no—
629C2×C4—1062no—
630C2×C4—1062no—
631C2×C4—1062no—
632C2×C4—4244no—
633C2×C4—2128no—
634C2×C4—2128no—
635C2×C4—2122no—
636C2×C4—2122no—
637C2×C4—2122no—
638C2×C4—2121no—
639C2×C4—2121no—
640C2×C4—2121no—
641C2×C4—2121no—
642C2×C4C4⋊C4×D5312yes—
643C2×C4#1313317714yes—
644C2×C4C4×D21214yes—
645C2×C4#1313318712yes—
646C2×C4#1313319514yes—
647C2×C4#1313319714yes—
648C2×C4#1313319912yes—
649C2×C4C22×C4×D5311yescharacteristic
650C2×C4C2×D4×D5311yescharacteristic
651C2×C4C22×D21211yescharacteristic
652C2×C4C2×Q8×D5311yescharacteristic
653C2×C4C2×#1171994711yescharacteristic
654C2×C4C2×#1171994511yescharacteristic
655C8—24no—
656C8—1064no—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—534no—
664C22—1062no—
665C22—1062no—
666C22—1062no—
667C22—1062no—
668C22—1062no—
669C22—1062no—
670C22—1062no—
671C22—1062no—
672C22—1062no—
673C22—21216no—
674C22—2121no—
675C22—2121no—
676C22—2121no—
677C22—2121no—
678C22#1681049714yes—
679C22C2×C4⋊C4×D5311yescharacteristic
680C22C2×#1313318711yescharacteristic
681C22C2×#1313319911yescharacteristic
682C22AGL(1,ℤ/8)×D5311yescharacteristic
683C22#137×D5311yescharacteristic
684C22#1681141911yescharacteristic
685C22#1681142211yescharacteristic
686C4—42no—
687C4—42no—
688C4—82no—
689C4—1062no—
690C4—1062no—
691C4—4242no—
692C4—2122no—
693C4—2122no—
694C4#1681049714yes—
695C4C2×#1313317711yescharacteristic
696C4C2×C4×D21211yescharacteristic
697C4C2×#1313319511yescharacteristic
698C4C2×#1313319711yescharacteristic
699C2—24no—
700C2—1064no—
701C2—2122no—
702C2C2×#1681049711yescharacteristic
703C2#428×D5311yescharacteristic
704C2#2028330211yescharacteristic
705C2#2028396811yescharacteristic
706C2#2028397611yescharacteristic
707C2#2028465311yescharacteristic
708C2#2028466111yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#1736C2
socleC23×C53C22×D4
prime radicalC24×D53D4
cosocleC22×C4×C53C24
hypercenter#1736D53
hypocenterC53#20846
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1736

Complements

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

NH ≅ G/Ntype
2. C2×#16810666C2semidirect
3. C2×#16810665C2semidirect
6. #20274917C2semidirect
7. #20274915C2semidirect
8. #20274909C2semidirect
9. #20274904C2semidirect
10. #20274434C2semidirect
11. C53×#1736C2semidirect
29. C2×#13133151C22semidirect
30. C2×#13133150C22semidirect
31. C2×#13133149C22semidirect
32. C2×#13133148C22semidirect
33. #16810586C4semidirect
41. #16810385C22semidirect
42. #16810385C22semidirect
46. C53×#340C22semidirect
47. C53×#340C22semidirect
65. C2×#11719917C2×C4semidirect
102. #13133129C2×C4semidirect
103. #13133129C2×C4semidirect
110. C2×M16×C53C2×C4semidirect
331. C2×D53#428semidirect
355. #1736D53semidirect
400. #340C2×D53semidirect
401. #340C2×D53semidirect
402. C53#20846semidirect
425. C2×M16C4×D53semidirect

Maximal subgroups

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

subgroupindex
C2×#117×D532
C2×#168106662
C2×#168106652
C2×#168105862
C2×#168104802
#202749172
#202749152
#202749092
#202749042
#202744342
C53×#17362
#2084653