Finite Group Databasebeta

← C2×#20275715 #27410879

Subgroups — C2×#20275715 #27410879

Order 13568.

2526 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13133193C211yesmaximal, characteristic, complemented
2C22×#13133188C211yesmaximal, characteristic
3C22×#13133141C211yesmaximal, characteristic, complemented
4C22×#13133138C211yesmaximal, characteristic, complemented
5C22×#13133129C211yesmaximal, characteristic, complemented
6#20275715C218yesmaximal, direct product factor
7C2×#16810386C211yesmaximal, characteristic, complemented
8C23×SD16×C53C211yesmaximal, characteristic, complemented
9C23×C22⋊D53—21no—
10C23×C4×D53C2211yescharacteristic
11C23×#88322C2211yescharacteristic
12C2×#13133193—22no—
13C2×#13133193—24no—
14C2×#13133193—24no—
15C2×#13133193C2214yescomplemented
16C2×#13133188—22no—
17C2×#13133188—24no—
18C2×#13133188—24no—
19C2×#13133188C2214yes—
20C22×C4⋊Dic53C2211yescharacteristic
21C22×C4⋊Dic53C2211yescharacteristic
22C22×#11719919—21no—
23C22×C22⋊Dic53—21no—
24C22×#11719921—21no—
25C2×#13133141—24no—
26C2×#13133141C2214yescomplemented
27C2×#13133138—24no—
28C2×#13133138C2214yescomplemented
29C2×#13133129—24no—
30C2×#13133129C2214yescomplemented
31#16810386C2214yescomplemented
32C23×Q8×C53C2211yescharacteristic
33C23×D4×C53C2211yescharacteristic
34C22×SD16×C53—24no—
35C22×SD16×C53—24no—
36C22×SD16×C53—24no—
37C22×SD16×C53C2214yescomplemented
38C23×C8×C53C2211yescharacteristic
39C24×D53D411yescharacteristic
40C22×C22⋊D53—28no—
41C22×C22⋊D53—24no—
42C22×C22⋊D53—44no—
43C22×C22⋊D53—44no—
44C23×Dic53—21no—
45C23×Dic53—21no—
46C23×Dic53D411yescharacteristic
47C22×C4×D53—22no—
48C22×C4×D53—22no—
49C22×C4×D53—22no—
50C22×C4×D53—22no—
51C22×C4×D53—22no—
52C22×C4×D53—22no—
53C22×C4×D53D412yes—
54C22×C4×D53C2312yes—
55C22×#88322—22no—
56C22×#88322—22no—
57C22×#88322—22no—
58C22×#88322C2312yes—
59#13133193—216no—
60#13133193—28no—
61#13133193—28no—
62#13133188—216no—
63#13133188—28no—
64#13133188—28no—
65C2×C4⋊Dic53—22no—
66C2×C4⋊Dic53—21no—
67C2×C4⋊Dic53—22no—
68C2×C4⋊Dic53—21no—
69C2×C4⋊Dic53D414yes—
70C2×C4⋊Dic53D414yescomplemented
71C2×C4⋊Dic53C2312yes—
72C2×C4⋊Dic53C2312yes—
73C2×#11719919—28no—
74C2×#11719919—24no—
75C2×C22⋊Dic53—28no—
76C2×C22⋊Dic53—24no—
77C2×#11719921—28no—
78C2×#11719921—24no—
79#13133141—28no—
80#13133138—28no—
81#13133129—28no—
82C25×C53—21no—
83C22×Q8×C53—22no—
84C22×Q8×C53—21no—
85C22×Q8×C53—22no—
86C22×Q8×C53—22no—
87C22×Q8×C53—22no—
88C22×Q8×C53—22no—
89C22×Q8×C53D414yescomplemented
90C22×Q8×C53C2312yes—
91C22×D4×C53—22no—
92C22×D4×C53—22no—
93C22×D4×C53—22no—
94C22×D4×C53—21no—
95C22×D4×C53—22no—
96C22×D4×C53—22no—
97C22×D4×C53D414yes—
98C22×D4×C53C2312yes—
99C23×C4×C53—21no—
100C23×C4×C53C2311yescharacteristic
101C2×SD16×C53—232no—
102C2×SD16×C53—28no—
103C2×SD16×C53—28no—
104C2×SD16×C53—28no—
105C22×C8×C53—22no—
106C22×C8×C53—22no—
107C22×C8×C53D414yescomplemented
108C22×C8×C53C2312yes—
109C24×C53—24no—
110C24×C53—22no—
111C24×C53—42no—
112C24×C53—42no—
113C24×C53—42no—
114C24×C53—42no—
115C24×C53—42no—
116C24×C53—42no—
117C24×C53C2×D411yescharacteristic
118C23×D53—22no—
119C23×D53—22no—
120C23×D53—22no—
121C23×D53—22no—
122C23×D53—22no—
123C23×D53—22no—
124C23×D53SD1614yescomplemented
125C23×D53C2×D412yes—
126C2×Q8×C53—24no—
127C2×Q8×C53—22no—
128C2×Q8×C53—28no—
129C2×Q8×C53—28no—
130C2×Q8×C53—22no—
131C2×Q8×C53—22no—
132C2×Q8×C53—22no—
133C2×Q8×C53—22no—
134C2×Q8×C53—42no—
135C2×Q8×C53—42no—
136C2×Q8×C53—44no—
137C2×Q8×C53—44no—
138C2×Q8×C53C2×D414yescomplemented
139C2×D4×C53—28no—
140C2×D4×C53—24no—
141C2×D4×C53—28no—
142C2×D4×C53—22no—
143C2×D4×C53—22no—
144C2×D4×C53—22no—
145C2×D4×C53—22no—
146C2×D4×C53—22no—
147C2×D4×C53—42no—
148C2×D4×C53—42no—
149C2×D4×C53—44no—
150C2×D4×C53—44no—
151C2×D4×C53C2×D414yes—
152C22×C4×C53—24no—
153C22×C4×C53—22no—
154C22×C4×C53—42no—
155C22×C4×C53—42no—
156C22×C4×C53C2×D411yescharacteristic
157C22×C4×C53C2×D412yes—
158C22×C4×C53C2×D412yes—
159C22×C4×C53C2×D412yes—
160C22×C4×C53C2×D412yes—
161C22×C4×C53C2×D412yes—
162C22×C4×C53#4112yes—
163C22×C4×C53C2411yescharacteristic
164C2×C22⋊D53—216no—
165C2×C22⋊D53—48no—
166C2×C22⋊D53—432no—
167C2×C22⋊D53—48no—
168C22×Dic53—24no—
169C22×Dic53—22no—
170C22×Dic53—24no—
171C22×Dic53—22no—
172C22×Dic53—22no—
173C22×Dic53—22no—
174C22×Dic53—22no—
175C22×Dic53—42no—
176C22×Dic53—42no—
177C22×Dic53—42no—
178C22×Dic53—42no—
179C22×Dic53C2×D412yes—
180C2×C4×D53—24no—
181C2×C4×D53—24no—
182C2×C4×D53—24no—
183C2×C4×D53—22no—
184C2×C4×D53—22no—
185C2×C4×D53—22no—
186C2×C4×D53—22no—
187C2×C4×D53—22no—
188C2×C4×D53—22no—
189C2×C4×D53—44no—
190C2×C4×D53—44no—
191C2×C4×D53—44no—
192C2×C4×D53—44no—
193SD16×C53—232no—
194C2×C8×C53—28no—
195C2×C8×C53—22no—
196C2×C8×C53—22no—
197C2×C8×C53C2×D414yescomplemented
198C22⋊Dic53—216no—
199#11719921—216no—
200C4⋊Dic53—24no—
201C4⋊Dic53—24no—
202C4⋊Dic53—22no—
203C4⋊Dic53—22no—
204C4⋊Dic53C2×D414yes—
205C4⋊Dic53C2×D414yescomplemented
206#11719919—216no—
207C2×#88322—22no—
208C2×#88322—22no—
209C2×#88322—22no—
210C2×#88322—44no—
211C23×C53—24no—
212C23×C53—42no—
213C23×C53—42no—
214C23×C53—42no—
215C23×C53—42no—
216C23×C53—42no—
217C23×C53—42no—
218C23×C53—48no—
219C23×C53—48no—
220C23×C53—48no—
221C23×C53—84no—
222C23×C53—84no—
223C23×C53—84no—
224C23×C53—84no—
225C23×C53#12012yes—
226C23×C53#12012yes—
227C23×C53#12112yes—
228C23×C53C2×SD1612yes—
229C23×C53#13512yes—
230C23×C53AGL(1,ℤ/8)12yes—
231C23×C53#13712yes—
232C23×C53C22×D411yescharacteristic
233C22×D53—22no—
234C22×D53—22no—
235C22×D53—22no—
236C22×D53—22no—
237C22×D53—22no—
238C22×D53—22no—
239C22×D53—28no—
240C22×D53—28no—
241C22×D53—28no—
242C22×D53—44no—
243C22×D53—44no—
244C22×D53—44no—
245C22×D53—44no—
246C22×D53C2×SD1614yescomplemented
247Q8×C53—24no—
248Q8×C53—24no—
249Q8×C53—42no—
250Q8×C53—42no—
251Q8×C53—48no—
252D4×C53—24no—
253D4×C53—24no—
254D4×C53—42no—
255D4×C53—42no—
256D4×C53—48no—
257C2×C4×C53—24no—
258C2×C4×C53—42no—
259C2×C4×C53—42no—
260C2×C4×C53—48no—
261C2×C4×C53#12012yes—
262C2×C4×C53#12012yes—
263C2×C4×C53#12014yes—
264C2×C4×C53#12112yes—
265C2×C4×C53#12114yes—
266C2×C4×C53#12114yes—
267C2×C4×C53#12714yes—
268C2×C4×C53C22×D411yescharacteristic
269C2×C4×C53C22×D411yescharacteristic
270C2×C4×C53C22×D411yescharacteristic
271C2×C4×C53C22×D411yescharacteristic
272C2×C4×C53C22×D411yescharacteristic
273C2×C4×C53C2×#4111yescharacteristic
274C22⋊D53—432no—
275C2×Dic53—22no—
276C2×Dic53—22no—
277C2×Dic53—24no—
278C2×Dic53—24no—
279C2×Dic53—22no—
280C2×Dic53—42no—
281C2×Dic53—42no—
282C2×Dic53—42no—
283C2×Dic53—42no—
284C2×Dic53—44no—
285C2×Dic53—48no—
286C2×Dic53—48no—
287C4×D53—42no—
288C4×D53—42no—
289C4×D53—42no—
290C4×D53—42no—
291C4×D53—48no—
292C8×C53—24no—
293#88322—42no—
294C2×#2000—531nomaximal, Sylow
295C22×C53—44no—
296C22×C53—44no—
297C22×C53—44no—
298C22×C53—82no—
299C22×C53—82no—
300C22×C53—816no—
301C22×C53—82no—
302C22×C53—82no—
303C22×C53#39214yes—
304C22×C53#44814yes—
305C22×C53#44914yes—
306C22×C53#45014yes—
307C22×C53#45214yes—
308C22×C53#46514yes—
309C22×C53#46814yes—
310C22×C53C2×#12011yescharacteristic
311C22×C53C2×#12011yescharacteristic
312C22×C53C2×#12111yescharacteristic
313C22×C53C22×SD1611yescharacteristic
314C22×C53C2×#13511yescharacteristic
315C22×C53C2×AGL(1,ℤ/8)11yescharacteristic
316C22×C53C2×#13711yescharacteristic
317C2×D53—24no—
318C2×D53—24no—
319C2×D53—24no—
320C2×D53—42no—
321C2×D53—42no—
322C2×D53—42no—
323C2×D53—416no—
324C2×D53—42no—
325C4×C53—44no—
326C4×C53#39214yes—
327C4×C53C2×#12011yescharacteristic
328C4×C53C2×#12111yescharacteristic
329C4×C53C2×#12111yescharacteristic
330C4×C53C2×#12711yescharacteristic
331Dic53—42no—
332Dic53—44no—
333Dic53—44no—
334C23×SD16D5311yescharacteristic, complemented
335C22×C22⋊Q8—531no—
336C22×#121—531no—
337C22×#103—531no—
338C22×#102—531no—
339C22×C22⋊C8—531no—
340#2000—538no—
341C2×#340—531no—
342C2×C53—84no—
343C2×C53#200018yescomplemented
344C2×C53C2×#39211yescharacteristic
345C2×C53C2×#45011yescharacteristic
346C2×C53C2×#44811yescharacteristic
347C2×C53C2×#44911yescharacteristic
348C2×C53C2×#45211yescharacteristic
349C2×C53C2×#46511yescharacteristic
350C2×C53C2×#46811yescharacteristic
351D53—44no—
352C23×Q8C2×D5311yescharacteristic
353C23×D4—1061no—
354C23×D4C2×D5311yescharacteristic
355C24×C4—531no—
356C22×SD16—24no—
357C22×SD16—24no—
358C22×SD16—24no—
359C22×SD16C2×D5314yescomplemented
360C23×C8—531no—
361C23×C8C2×D5311yescharacteristic
362C2×C22⋊Q8—534no—
363C2×C22⋊Q8—1064no—
364C2×C22⋊Q8—1062no—
365C2×C22⋊Q8—1064no—
366C2×#121—534no—
367C2×#121—1064no—
368C2×#121—1062no—
369C2×#121—1064no—
370C22×C4⋊C4—531no—
371C22×C4⋊C4—531no—
372C22×C4⋊C4—1061no—
373C22×C22⋊C4—1061no—
374C22×C22⋊C4—1061no—
375C2×#103—534no—
376C2×#103—1064no—
377C2×#102—534no—
378C2×#102—1064no—
379C2×C22⋊C8—534no—
380C2×C22⋊C8—1064no—
381#340—534no—
382C53C2×#200011yescharacteristic, complemented, Sylow
383C25—21no—
384C25—531no—
385C22×Q8—22no—
386C22×Q8—21no—
387C22×Q8—22no—
388C22×Q8—22no—
389C22×Q8—22no—
390C22×Q8—22no—
391C22×Q8C22⋊D5314yescomplemented
392C22×Q8C22×D5312yes—
393C22×D4—22no—
394C22×D4—21no—
395C22×D4—22no—
396C22×D4—22no—
397C22×D4—22no—
398C22×D4—22no—
399C22×D4—1064no—
400C22×D4—1068no—
401C22×D4—2124no—
402C22×D4—2124no—
403C22×D4C22⋊D5314yes—
404C22×D4C22×D5312yes—
405C23×C4—21no—
406C23×C4—531no—
407C23×C4—532no—
408C23×C4—532no—
409C23×C4—1061no—
410C23×C4—1061no—
411C23×C4—1062no—
412C23×C4—1062no—
413C23×C4—1062no—
414C23×C4—1062no—
415C23×C4—1062no—
416C23×C4—1062no—
417C23×C4C22×D5311yescharacteristic
418C2×SD16—232no—
419C2×SD16—28no—
420C2×SD16—28no—
421C2×SD16—28no—
422C22×C8—22no—
423C22×C8—22no—
424C22×C8—532no—
425C22×C8—1062no—
426C22×C8—1062no—
427C22×C8—1062no—
428C22×C8C22⋊D5314yescomplemented
429C22×C8C22×D5312yes—
430C22⋊Q8—1068no—
431C22⋊Q8—10616no—
432C22⋊Q8—1068no—
433#121—1068no—
434#121—10616no—
435#121—1068no—
436C2×C4⋊C4—534no—
437C2×C4⋊C4—534no—
438C2×C4⋊C4—532no—
439C2×C4⋊C4—532no—
440C2×C4⋊C4—1064no—
441C2×C4⋊C4—1068no—
442C2×C4⋊C4—1061no—
443C2×C4⋊C4—1061no—
444C2×C4⋊C4—1062no—
445C2×C4⋊C4—1062no—
446C2×C22⋊C4—1064no—
447C2×C22⋊C4—1068no—
448C2×C22⋊C4—1064no—
449C2×C22⋊C4—1068no—
450#103—1068no—
451#102—1068no—
452C22⋊C8—1068no—
453C24—24no—
454C24—22no—
455C24—42no—
456C24—42no—
457C24—42no—
458C24—42no—
459C24—42no—
460C24—42no—
461C24—534no—
462C24—532no—
463C24—1062no—
464C24—1062no—
465C24—1062no—
466C24—1062no—
467C24—1062no—
468C24—1062no—
469C24D4×D5311yescharacteristic
470C2×Q8—24no—
471C2×Q8—22no—
472C2×Q8—28no—
473C2×Q8—28no—
474C2×Q8—22no—
475C2×Q8—22no—
476C2×Q8—22no—
477C2×Q8—22no—
478C2×Q8—42no—
479C2×Q8—42no—
480C2×Q8—44no—
481C2×Q8—44no—
482C2×Q8C2×C22⋊D5314yescomplemented
483C2×D4—24no—
484C2×D4—28no—
485C2×D4—28no—
486C2×D4—22no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4—44no—
494C2×D4—44no—
495C2×D4—10616no—
496C2×D4—2128no—
497C2×D4—21232no—
498C2×D4—2128no—
499C2×D4C2×C22⋊D5314yes—
500C22×C4—24no—
501C22×C4—22no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—532no—
505C22×C4—1062no—
506C22×C4—1064no—
507C22×C4—1064no—
508C22×C4—1062no—
509C22×C4—1062no—
510C22×C4—1062no—
511C22×C4—1062no—
512C22×C4—1064no—
513C22×C4—1064no—
514C22×C4—1064no—
515C22×C4—1062no—
516C22×C4—1062no—
517C22×C4—1062no—
518C22×C4—1062no—
519C22×C4—1062no—
520C22×C4—1062no—
521C22×C4—2122no—
522C22×C4—2122no—
523C22×C4—2122no—
524C22×C4—2122no—
525C22×C4—2124no—
526C22×C4—2124no—
527C22×C4—2124no—
528C22×C4—2124no—
529C22×C4D4×D5311yescharacteristic
530C22×C4D4×D5312yes—
531C22×C4D4×D5312yes—
532C22×C4#1171994712yes—
533C22×C4C2×C22⋊D5312yes—
534C22×C4C2×C22⋊D5312yes—
535C22×C4C2×C22⋊D5312yes—
536C22×C4C23×D5311yescharacteristic
537SD16—232no—
538C2×C8—28no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—1062no—
542C2×C8—1062no—
543C2×C8—1062no—
544C2×C8—2124no—
545C2×C8C2×C22⋊D5314yescomplemented
546C4⋊C4—534no—
547C4⋊C4—534no—
548C4⋊C4—10616no—
549C4⋊C4—1064no—
550C4⋊C4—1064no—
551C4⋊C4—1062no—
552C4⋊C4—1062no—
553C22⋊C4—10616no—
554C22⋊C4—10616no—
555C23—24no—
556C23—48no—
557C23—48no—
558C23—48no—
559C23—42no—
560C23—42no—
561C23—42no—
562C23—42no—
563C23—42no—
564C23—42no—
565C23—84no—
566C23—84no—
567C23—84no—
568C23—84no—
569C23—534no—
570C23—1068no—
571C23—1068no—
572C23—1068no—
573C23—1062no—
574C23—1062no—
575C23—1062no—
576C23—1062no—
577C23—1062no—
578C23—1062no—
579C23—2124no—
580C23—2124no—
581C23—2124no—
582C23—2124no—
583C23#1313318512yes—
584C23#1313318512yes—
585C23#1313318812yes—
586C23SD16×D5312yes—
587C23#1313323812yes—
588C23#1313324412yes—
589C23#1313324612yes—
590C23C2×D4×D5311yescharacteristic
591Q8—24no—
592Q8—24no—
593Q8—48no—
594Q8—42no—
595Q8—42no—
596D4—24no—
597D4—24no—
598D4—48no—
599D4—42no—
600D4—42no—
601D4—21232no—
602C2×C4—24no—
603C2×C4—48no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—1062no—
607C2×C4—1064no—
608C2×C4—1064no—
609C2×C4—1062no—
610C2×C4—1062no—
611C2×C4—2128no—
612C2×C4—2128no—
613C2×C4—2124no—
614C2×C4—2122no—
615C2×C4—2122no—
616C2×C4—2122no—
617C2×C4—2122no—
618C2×C4—2128no—
619C2×C4—2122no—
620C2×C4—2122no—
621C2×C4—2122no—
622C2×C4—2122no—
623C2×C4#1313318512yes—
624C2×C4#1313318512yes—
625C2×C4#1313318614yes—
626C2×C4#1313318812yes—
627C2×C4#1313318914yes—
628C2×C4#1313318914yes—
629C2×C4#1313321314yes—
630C2×C4C2×D4×D5311yescharacteristic
631C2×C4C2×D4×D5311yescharacteristic
632C2×C4C22×C22⋊D5311yescharacteristic
633C2×C4C22×C22⋊D5311yescharacteristic
634C2×C4C22×C22⋊D5311yescharacteristic
635C2×C4C2×#1171994711yescharacteristic
636C8—24no—
637C8—2122no—
638C22—44no—
639C22—44no—
640C22—44no—
641C22—816no—
642C22—82no—
643C22—82no—
644C22—82no—
645C22—82no—
646C22—1064no—
647C22—1064no—
648C22—1064no—
649C22—21216no—
650C22—2122no—
651C22—2122no—
652C22—2122no—
653C22—2122no—
654C22#1681053114yes—
655C22#1681076014yes—
656C22#1681076714yes—
657C22#1681077214yes—
658C22#1681078214yes—
659C22#1681084914yes—
660C22#1681086614yes—
661C22C2×#1313318511yescharacteristic
662C22C2×#1313318511yescharacteristic
663C22C2×#1313318811yescharacteristic
664C22C2×SD16×D5311yescharacteristic
665C22C2×#1313323811yescharacteristic
666C22C2×#1313324411yescharacteristic
667C22C2×#1313324611yescharacteristic
668C4—44no—
669C4—2124no—
670C4—2122no—
671C4—2124no—
672C4#1681053114yes—
673C4C2×#1313318611yescharacteristic
674C4C2×#1313318911yescharacteristic
675C4C2×#1313318911yescharacteristic
676C4C2×#1313321311yescharacteristic
677C2—84no—
678C2—2124no—
679C2#2027571518yesdirect product factor
680C2C2×#1681053111yescharacteristic
681C2C2×#1681077211yescharacteristic
682C2C2×#1681076011yescharacteristic
683C2C2×#1681076711yescharacteristic
684C2C2×#1681078211yescharacteristic
685C2C2×#1681084911yescharacteristic
686C2C2×#1681086611yescharacteristic
subgroupG/H
centerC24D4×D53
commutator, cosocleC22×C4×C53C24
FrattiniC22×C4C23×D53
FittingC23×SD16×C53C2
socleC24×C53C2×D4
prime radicalC22×#13133188C2
hypercenterC23×SD16D53
hypocenterC53C2×#2000
LCSG ▷ C22×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C24 ◁ C23×C4 ◁ C23×SD16

Complements

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

NH ≅ G/Ntype
1. C22×#13133193C2semidirect
3. C22×#13133141C2semidirect
4. C22×#13133138C2semidirect
5. C22×#13133129C2semidirect
6. #20275715C2direct (N × H)
7. C2×#16810386C2semidirect
8. C23×SD16×C53C2semidirect
15. C2×#13133193C22semidirect
26. C2×#13133141C22semidirect
28. C2×#13133138C22semidirect
30. C2×#13133129C22semidirect
31. #16810386C22semidirect
37. C22×SD16×C53C22semidirect
70. C2×C4⋊Dic53D4semidirect
89. C22×Q8×C53D4semidirect
107. C22×C8×C53D4semidirect
124. C23×D53SD16semidirect
138. C2×Q8×C53C2×D4semidirect
197. C2×C8×C53C2×D4semidirect
205. C4⋊Dic53C2×D4semidirect
246. C22×D53C2×SD16semidirect
334. C23×SD16D53semidirect
343. C2×C53#2000semidirect
359. C22×SD16C2×D53semidirect
382. C53C2×#2000semidirect
391. C22×Q8C22⋊D53semidirect
428. C22×C8C22⋊D53semidirect
482. C2×Q8C2×C22⋊D53semidirect
545. C2×C8C2×C22⋊D53semidirect
679. C2#20275715direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#131331932
C22×#131331882
C22×#131331412
C22×#131331382
C22×#131331292
#202757152
C2×#168103862
C23×SD16×C532
C2×#200053