Finite Group Databasebeta

← #27385608

Subgroups — #27385608

Order 13568.

1778 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811421C211yesmaximal, characteristic
2C2×#16810640C211yesmaximal, characteristic, complemented
3#20283232C211yesmaximal, characteristic, complemented
4#20277308C211yesmaximal, characteristic, complemented
5#20275091C214yesmaximal, complemented
6#20275084C214yesmaximal, complemented
7C2×#16810392C211yesmaximal, characteristic, complemented
8#20274424C211yesmaximal, characteristic, complemented
9C2×C53×#520C211yesmaximal, characteristic, complemented
10C22×#11719945C2211yescharacteristic
11#16811421—24no—
12#16811421C418yescomplemented
13C2×#13133248—21no—
14C2×#13133247C2212yes—
15C2×#13133243—21no—
16C2×#13133242C2212yes—
17C2×#13133237—22no—
18C22×#11719917C2211yescharacteristic
19C22×#11719917C2211yescharacteristic
20C2×#13133176C2211yescharacteristic
21#16810640—24no—
22C2×#13133144C2214yes—
23#16810631C2212yescomplemented
24#16810627C2212yescomplemented
25#16810622—21no—
26#16810622—21no—
27#16810617—22no—
28#16810528C2212yescomplemented
29#16810524C2212yescomplemented
30#16810502—22no—
31#16810480—22no—
32#16810392C2214yescomplemented
33#16810382C2214yescomplemented
34C22×#41×C53C2211yescharacteristic
35C53×#520—22no—
36C53×#520—22no—
37C53×#520—22no—
38C53×#520C2214yes—
39C2×C4×Q8×C53—21no—
40C2×C4×D4×C53—21no—
41C2×C4×D4×C53—22no—
42C2×#117×C53—21no—
43C2×#117×C53C2211yescharacteristic
44C22×C4⋊C4×C53—21no—
45C22×C4⋊C4×C53C2211yescharacteristic
46C2×#11719945—22no—
47C2×#11719945—21no—
48C2×#11719945—21no—
49C2×#11719945—21no—
50C2×#11719945—21no—
51C2×#11719945—22no—
52C2×#11719945—22no—
53C2×#11719945C2×C414yescomplemented
54C22×Dic106C2311yescharacteristic
55C22×D212C2311yescharacteristic
56C22×C22⋊D53—21no—
57C22×C4×D53—21no—
58#13133248—28no—
59#13133247—24no—
60#13133247C2×C418yescomplemented
61#13133243—28no—
62#13133242—24no—
63#13133242C2×C418yescomplemented
64#13133237—216no—
65C2×#11719925—22no—
66C2×#11719923—22no—
67C2×#11719924—22no—
68C2×#11719922—22no—
69C2×#11719917—21no—
70C2×#11719917—22no—
71C2×#11719917—21no—
72C2×#11719917—22no—
73C2×#11719917—22no—
74C2×#11719917C2×C414yescomplemented
75C2×#11719917C2312yes—
76C2×#11719917C2312yes—
77C22×#88322—21no—
78C22×#88322—21no—
79#13133176—22no—
80#13133176—22no—
81C2×C4⋊Dic53—21no—
82C2×C22⋊Dic53—21no—
83C2×#11719921—24no—
84C2×C4×Dic53C2312yes—
85#13133144—28no—
86#13133140—22no—
87#13133140—22no—
88#13133137—22no—
89#13133137—22no—
90#13133124—24no—
91C2×#41×C53—21no—
92C2×#41×C53—21no—
93C2×#41×C53—22no—
94C2×#41×C53—22no—
95C2×#41×C53C2×C414yes—
96C2×#41×C53D414yes—
97C2×#41×C53D412yes—
98C2×#41×C53C2312yes—
99C22×Q8×C53D411yescharacteristic
100C22×D4×C53—21no—
101C22×D4×C53D411yescharacteristic
102C23×C4×C53—21no—
103C23×C4×C53—22no—
104C23×C4×C53D412yes—
105C23×C4×C53C2311yescharacteristic
106C4×Q8×C53—24no—
107C4×Q8×C53—24no—
108C4×D4×C53—24no—
109C4×D4×C53—28no—
110C4×D4×C53—24no—
111C4×D4×C53—28no—
112#117×C53—24no—
113#117×C53—24no—
114#117×C53—21no—
115#117×C53—21no—
116#117×C53D412yes—
117#117×C53C2312yes—
118C2×C4⋊C4×C53—22no—
119C2×C4⋊C4×C53—24no—
120C2×C4⋊C4×C53—24no—
121C2×C4⋊C4×C53—21no—
122C2×C4⋊C4×C53—21no—
123C2×C4⋊C4×C53—21no—
124C2×C4⋊C4×C53—21no—
125C2×C4⋊C4×C53D411yescharacteristic
126C2×C4⋊C4×C53D411yescharacteristic
127C2×C4⋊C4×C53D412yes—
128C2×C4⋊C4×C53C2312yes—
129C2×C22⋊C4×C53—22no—
130C2×C22⋊C4×C53—21no—
131C2×C42×C53—22no—
132C2×C42×C53—21no—
133C24×C53—21no—
134C24×C53C2×D411yescharacteristic
135C23×D53—21no—
136#41×C53—24no—
137#41×C53—24no—
138#41×C53—24no—
139#41×C53—24no—
140#41×C53—24no—
141#41×C53—22no—
142#41×C53—22no—
143#41×C53C22⋊C418yescomplemented
144#41×C53C22×C414yes—
145#41×C53C2×D414yes—
146C2×Q8×C53—21no—
147C2×Q8×C53—22no—
148C2×Q8×C53C22⋊C414yescomplemented
149C2×Q8×C53C2×D412yes—
150C2×D4×C53—24no—
151C2×D4×C53—22no—
152C2×D4×C53—24no—
153C2×D4×C53—22no—
154C2×D4×C53—21no—
155C2×D4×C53—22no—
156C2×D4×C53C22⋊C414yescomplemented
157C2×D4×C53C2×D412yes—
158C22×C4×C53—21no—
159C22×C4×C53—24no—
160C22×C4×C53—22no—
161C22×C4×C53—24no—
162C22×C4×C53—22no—
163C22×C4×C53—21no—
164C22×C4×C53—22no—
165C22×C4×C53—21no—
166C22×C4×C53—28no—
167C22×C4×C53—22no—
168C22×C4×C53—82no—
169C22×C4×C53—84no—
170C22×C4×C53C22×C412yes—
171C22×C4×C53C2×D414yes—
172C22×C4×C53C2×D411yescharacteristic
173C22×C4×C53C2×D411yescharacteristic
174C22×C4×C53C2×D412yes—
175C22×C4×C53C2×D411yescharacteristic
176C22×C4×C53C2×D411yescharacteristic
177C22×C4×C53C2×D411yescharacteristic
178C22×C4×C53#4112yes—
179C22×C4×C53#4112yes—
180C22×C4×C53C2411yescharacteristic
181C2×C22⋊D53—24no—
182C2×C22⋊D53—41no—
183C2×C22⋊D53—41no—
184C2×C22⋊D53—42no—
185C22×Dic53—21no—
186C22×Dic53—22no—
187#11719945—24no—
188#11719945—24no—
189#11719945—24no—
190#11719945—24no—
191#11719945—42no—
192#11719945—42no—
193#11719945—42no—
194#11719945—42no—
195C2×D212—21no—
196C2×D212—21no—
197C2×D212—21no—
198C2×D212—21no—
199C2×D212—21no—
200C2×D212C22×C412yescomplemented
201C2×C4×D53—24no—
202C2×C4×D53—41no—
203C2×C4×D53—41no—
204C2×C4×D53—42no—
205C2×Dic106—21no—
206C2×Dic106—21no—
207C2×Dic106—21no—
208C2×Dic106—21no—
209C2×Dic106—21no—
210C2×Dic106C22×C412yescomplemented
211C4⋊C4×C53—28no—
212C4⋊C4×C53—21no—
213C4⋊C4×C53—22no—
214C4⋊C4×C53—22no—
215C4⋊C4×C53—21no—
216C4⋊C4×C53—22no—
217C4⋊C4×C53—22no—
218C4⋊C4×C53C2×D412yes—
219C4⋊C4×C53C2×D412yes—
220C22⋊C4×C53—28no—
221C22⋊C4×C53—22no—
222C22⋊C4×C53—22no—
223C42×C53—28no—
224C42×C53—22no—
225C42×C53—22no—
226C22⋊Dic53—42no—
227#11719925—28no—
228#11719924—28no—
229#11719923—28no—
230#11719922—28no—
231#11719921—84no—
232C4⋊Dic53—42no—
233C4×Dic53—22no—
234C4×Dic53—22no—
235#11719917—24no—
236#11719917—22no—
237#11719917—22no—
238#11719917—22no—
239#11719917—42no—
240#11719917C22×C414yescomplemented
241C2×#88322—24no—
242C2×#88322—22no—
243C2×#88322—22no—
244C2×#88322—42no—
245C23×C53—22no—
246C23×C53—24no—
247C23×C53—41no—
248C23×C53—41no—
249C23×C53—42no—
250C23×C53—42no—
251C23×C53C4×D412yes—
252C23×C53#12011yescharacteristic
253C23×C53#12011yescharacteristic
254C23×C53#12112yes—
255C23×C53C22×D411yescharacteristic
256C22×D53—22no—
257C22×D53—42no—
258C22×D53—42no—
259C22×D53—41no—
260C22×D53—41no—
261Q8×C53—22no—
262Q8×C53—24no—
263Q8×C53C2×C22⋊C414yes—
264D4×C53—24no—
265D4×C53—24no—
266D4×C53—28no—
267D4×C53—22no—
268D4×C53—24no—
269D4×C53C2×C22⋊C414yes—
270C2×C4×C53—22no—
271C2×C4×C53—24no—
272C2×C4×C53—24no—
273C2×C4×C53—24no—
274C2×C4×C53—28no—
275C2×C4×C53—22no—
276C2×C4×C53—24no—
277C2×C4×C53—22no—
278C2×C4×C53—42no—
279C2×C4×C53—44no—
280C2×C4×C53—42no—
281C2×C4×C53—44no—
282C2×C4×C53—82no—
283C2×C4×C53—88no—
284C2×C4×C53C2×C22⋊C412yes—
285C2×C4×C53C2×C22⋊C412yes—
286C2×C4×C53C4×D412yes—
287C2×C4×C53C4×D412yes—
288C2×C4×C53C4×D412yes—
289C2×C4×C53#12011yescharacteristic
290C2×C4×C53#12011yescharacteristic
291C2×C4×C53#12112yes—
292C2×C4×C53#12112yes—
293C2×C4×C53#12112yes—
294C2×C4×C53#12312yes—
295C2×C4×C53#12312yes—
296C2×C4×C53C23×C411yescharacteristic
297C2×C4×C53C22×D411yescharacteristic
298C2×C4×C53C22×D411yescharacteristic
299C2×C4×C53C22×D411yescharacteristic
300C2×C4×C53C2×#4111yescharacteristic
301C2×C4×C53C2×#4111yescharacteristic
302C22⋊D53—44no—
303C22⋊D53—44no—
304C2×Dic53—22no—
305C2×Dic53—41no—
306C2×Dic53—41no—
307C2×Dic53—42no—
308C2×Dic53—42no—
309C2×Dic53—42no—
310D212—22no—
311D212—22no—
312D212—41no—
313D212—41no—
314C4×D53—44no—
315C4×D53—44no—
316Dic106—22no—
317Dic106—22no—
318Dic106—41no—
319Dic106—41no—
320#88322—24no—
321#88322—42no—
322#20943—531nomaximal, Sylow
323C22×C53—21no—
324C22×C53—21no—
325C22×C53—21no—
326C22×C53—21no—
327C22×C53—21no—
328C22×C53—21no—
329C22×C53—24no—
330C22×C53—42no—
331C22×C53—42no—
332C22×C53—48no—
333C22×C53—42no—
334C22×C53—42no—
335C22×C53#38612yes—
336C22×C53#38612yes—
337C22×C53C2×C4×D411yescharacteristic
338C22×C53C2×#12011yescharacteristic
339C22×C53C2×#12111yescharacteristic
340C2×D53—44no—
341C2×D53—42no—
342C2×D53—82no—
343C2×D53—81no—
344C2×D53—81no—
345C4×C53—24no—
346C4×C53—44no—
347C4×C53—42no—
348C4×C53—42no—
349C4×C53#38612yes—
350C4×C53#38612yes—
351C4×C53C22×C22⋊C411yescharacteristic
352C4×C53C2×C4×D411yescharacteristic
353C4×C53C2×#12111yescharacteristic
354C4×C53C2×#12311yescharacteristic
355Dic53—42no—
356Dic53—82no—
357C2×#575—531no—
358C2×#520D5311yescharacteristic, complemented
359C2×#421—531no—
360#2896—531no—
361#2311—531no—
362#1883—534no—
363#1882—534no—
364C2×#343—531no—
365#1733—531no—
366C2×C53—21no—
367C2×C53—21no—
368C2×C53—22no—
369C2×C53—22no—
370C2×C53—44no—
371C2×C53C2×#38611yescharacteristic
372C2×C53#301911yescharacteristic
373C2×C53#302011yescharacteristic
374D53—82no—
375C22×#41—531no—
376C22×#41C2×D5311yescharacteristic
377#575—538no—
378#575—1064no—
379C2×#137—532no—
380C2×#137—1061no—
381C2×AGL(1,ℤ/8)—532no—
382C2×AGL(1,ℤ/8)—1061no—
383C2×#135—1062no—
384C22×M16—531no—
385C22×M16—531no—
386#520—22no—
387#520—22no—
388#520—22no—
389#520C2×D5314yes—
390C2×C4×Q8—21no—
391C2×C4×D4—21no—
392C2×C4×D4—22no—
393C2×#117—21no—
394C2×#117—531no—
395C2×#117C2×D5311yescharacteristic
396C22×C4⋊C4—21no—
397C22×C4⋊C4C2×D5311yescharacteristic
398#421—1064no—
399C2×#104—534no—
400#419—532no—
401#418—532no—
402#417—1061no—
403#417—1061no—
404#416—1062no—
405#391—532no—
406#390—532no—
407#386—1062no—
408#380—1062no—
409#343—534no—
410#339—534no—
411C53#2094311yescharacteristic, complemented, Sylow
412C2×#41—22no—
413C2×#41—22no—
414C2×#41—21no—
415C2×#41—21no—
416C2×#41—534no—
417C2×#41—1062no—
418C2×#41—1062no—
419C2×#41—1062no—
420C2×#41—1061no—
421C2×#41—1061no—
422C2×#41—1061no—
423C2×#41—1061no—
424C2×#41C4×D5314yes—
425C2×#41D21214yes—
426C2×#41C22⋊D5312yes—
427C2×#41C22×D5312yes—
428C22×Q8—531no—
429C22×Q8C22⋊D5311yescharacteristic
430C22×D4—21no—
431C22×D4—531no—
432C22×D4—1061no—
433C22×D4C22⋊D5311yescharacteristic
434C23×C4—21no—
435C23×C4—22no—
436C23×C4—1061no—
437C23×C4C22⋊D5312yes—
438C23×C4C22×D5311yescharacteristic
439#137—538no—
440#137—1064no—
441#137—1068no—
442AGL(1,ℤ/8)—538no—
443AGL(1,ℤ/8)—1064no—
444AGL(1,ℤ/8)—1068no—
445#135—10616no—
446C2×Q16—1062no—
447C2×SD16—1062no—
448C2×SD16—1062no—
449C2×D8—1062no—
450C2×M16—534no—
451C2×M16—532no—
452C2×M16—532no—
453C2×M16—1062no—
454C2×M16—1061no—
455C2×M16—1061no—
456C2×M16—1062no—
457C2×M16—1062no—
458C22×C8—1061no—
459C22×C8—1061no—
460C4×Q8—24no—
461C4×Q8—24no—
462C4×D4—28no—
463C4×D4—24no—
464C4×D4—24no—
465C4×D4—28no—
466#117—24no—
467#117—21no—
468#117—21no—
469#117—24no—
470#117—1062no—
471#117—1062no—
472#117C22⋊D5312yes—
473#117C22×D5312yes—
474C2×C4⋊C4—22no—
475C2×C4⋊C4—24no—
476C2×C4⋊C4—21no—
477C2×C4⋊C4—21no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—24no—
481C2×C4⋊C4—1061no—
482C2×C4⋊C4C22⋊D5312yes—
483C2×C4⋊C4C22⋊D5311yescharacteristic
484C2×C4⋊C4C22⋊D5311yescharacteristic
485C2×C4⋊C4C22×D5312yes—
486C2×C22⋊C4—22no—
487C2×C22⋊C4—21no—
488C2×C22⋊C4—1064no—
489C2×C22⋊C4—1061no—
490C2×C42—22no—
491C2×C42—21no—
492C2×C42—532no—
493#104—1068no—
494#103—1062no—
495#103—1062no—
496#102—1062no—
497#102—1062no—
498#95—1064no—
499C24—21no—
500C24—1061no—
501C24C2×C22⋊D5311yescharacteristic
502#41—24no—
503#41—24no—
504#41—24no—
505#41—24no—
506#41—24no—
507#41—22no—
508#41—22no—
509#41—1064no—
510#41—1064no—
511#41—1064no—
512#41—1064no—
513#41—2122no—
514#41—2122no—
515#41—2122no—
516#41—2122no—
517#41#1171992118yescomplemented
518#41C2×C4×D5314yes—
519#41C2×D21214yes—
520C2×Q8—21no—
521C2×Q8—22no—
522C2×Q8—532no—
523C2×Q8—1061no—
524C2×Q8—1061no—
525C2×Q8—1061no—
526C2×Q8—1061no—
527C2×Q8—1061no—
528C2×Q8#1171992114yescomplemented
529C2×Q8C2×C22⋊D5312yes—
530C2×D4—24no—
531C2×D4—22no—
532C2×D4—24no—
533C2×D4—22no—
534C2×D4—21no—
535C2×D4—22no—
536C2×D4—532no—
537C2×D4—1064no—
538C2×D4—1061no—
539C2×D4—1061no—
540C2×D4—1061no—
541C2×D4—1061no—
542C2×D4—1061no—
543C2×D4—2121no—
544C2×D4—2121no—
545C2×D4—2122no—
546C2×D4#1171992114yescomplemented
547C2×D4C2×C22⋊D5312yes—
548C22×C4—21no—
549C22×C4—24no—
550C22×C4—22no—
551C22×C4—24no—
552C22×C4—22no—
553C22×C4—21no—
554C22×C4—22no—
555C22×C4—21no—
556C22×C4—28no—
557C22×C4—22no—
558C22×C4—82no—
559C22×C4—84no—
560C22×C4—1061no—
561C22×C4—1064no—
562C22×C4—1062no—
563C22×C4—2121no—
564C22×C4—2121no—
565C22×C4—2122no—
566C22×C4C2×C4×D5312yes—
567C22×C4C2×D21212yes—
568C22×C4#1171994512yes—
569C22×C4#1171994512yes—
570C22×C4C2×C22⋊D5314yes—
571C22×C4C2×C22⋊D5311yescharacteristic
572C22×C4C2×C22⋊D5311yescharacteristic
573C22×C4C2×C22⋊D5311yescharacteristic
574C22×C4C2×C22⋊D5311yescharacteristic
575C22×C4C2×C22⋊D5311yescharacteristic
576C22×C4C23×D5311yescharacteristic
577Q16—1068no—
578SD16—1068no—
579SD16—1068no—
580D8—1068no—
581M16—534no—
582M16—1064no—
583M16—1062no—
584M16—1062no—
585M16—1062no—
586M16—2122no—
587C2×C8—1064no—
588C2×C8—1062no—
589C2×C8—1062no—
590C2×C8—2122no—
591C4⋊C4—28no—
592C4⋊C4—22no—
593C4⋊C4—21no—
594C4⋊C4—22no—
595C4⋊C4—21no—
596C4⋊C4—22no—
597C4⋊C4—22no—
598C4⋊C4—2122no—
599C4⋊C4C2×C22⋊D5312yes—
600C4⋊C4C2×C22⋊D5312yes—
601C22⋊C4—28no—
602C22⋊C4—22no—
603C22⋊C4—22no—
604C22⋊C4—4244no—
605C22⋊C4—2122no—
606C42—28no—
607C42—22no—
608C42—22no—
609C42—1062no—
610C42—1062no—
611C23—24no—
612C23—22no—
613C23—41no—
614C23—41no—
615C23—42no—
616C23—42no—
617C23—1062no—
618C23—2122no—
619C23—2122no—
620C23—2121no—
621C23—2121no—
622C23C4×C22⋊D5312yes—
623C23#1313318611yescharacteristic
624C23#1313318611yescharacteristic
625C23#1313319112yes—
626C23C22×C22⋊D5311yescharacteristic
627Q8—24no—
628Q8—22no—
629Q8—1062no—
630Q8—1062no—
631Q8—2121no—
632Q8—2121no—
633Q8C2×#1171992114yes—
634D4—28no—
635D4—24no—
636D4—24no—
637D4—24no—
638D4—22no—
639D4—1062no—
640D4—1062no—
641D4—2124no—
642D4—2124no—
643D4—2121no—
644D4—2121no—
645D4C2×#1171992114yes—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—28no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—22no—
654C2×C4—42no—
655C2×C4—44no—
656C2×C4—42no—
657C2×C4—44no—
658C2×C4—82no—
659C2×C4—88no—
660C2×C4—1062no—
661C2×C4—2122no—
662C2×C4—2122no—
663C2×C4—2122no—
664C2×C4—2121no—
665C2×C4—2121no—
666C2×C4—2124no—
667C2×C4—2124no—
668C2×C4C2×#1171992112yes—
669C2×C4C2×#1171992112yes—
670C2×C4C4×C22⋊D5312yes—
671C2×C4C4×C22⋊D5312yes—
672C2×C4C4×C22⋊D5312yes—
673C2×C4#1313318611yescharacteristic
674C2×C4#1313318611yescharacteristic
675C2×C4#1313319112yes—
676C2×C4#1313319112yes—
677C2×C4#1313319112yes—
678C2×C4#1313320012yes—
679C2×C4#1313320012yes—
680C2×C4C22×C4×D5311yescharacteristic
681C2×C4C22×C22⋊D5311yescharacteristic
682C2×C4C22×C22⋊D5311yescharacteristic
683C2×C4C22×D21211yescharacteristic
684C2×C4C2×#1171994511yescharacteristic
685C2×C4C2×#1171994511yescharacteristic
686C8—1064no—
687C8—2122no—
688C22—21no—
689C22—21no—
690C22—21no—
691C22—21no—
692C22—21no—
693C22—21no—
694C22—24no—
695C22—42no—
696C22—42no—
697C22—48no—
698C22—42no—
699C22—42no—
700C22—4242no—
701C22—4241no—
702C22—4241no—
703C22—2124no—
704C22—2122no—
705C22#1681050212yes—
706C22#1681050212yes—
707C22C2×C4×C22⋊D5311yescharacteristic
708C22C2×#1313318611yescharacteristic
709C22C2×#1313319111yescharacteristic
710C4—24no—
711C4—44no—
712C4—42no—
713C4—42no—
714C4—4242no—
715C4—2122no—
716C4#1681050212yes—
717C4#1681050212yes—
718C4C22×#1171992111yescharacteristic
719C4C2×C4×C22⋊D5311yescharacteristic
720C4C2×#1313319111yescharacteristic
721C4C2×#1313320011yescharacteristic
722C2—21no—
723C2—22no—
724C2—21no—
725C2—22no—
726C2—44no—
727C2—4242no—
728C2C2×#1681050211yescharacteristic
729C2#2028407211yescharacteristic
730C2#2028407911yescharacteristic
subgroupG/H
centerC22C2×#13133186
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC2×C53×#520C2
socleC22×C53C2×#120
prime radicalC2×#16811421C2
cosocleC22×C4×C53C24
hypercenterC2×#520D53
hypocenterC53#20943
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#520

Complements

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

NH ≅ G/Ntype
2. C2×#16810640C2semidirect
3. #20283232C2semidirect
4. #20277308C2semidirect
5. #20275091C2semidirect
6. #20275084C2semidirect
7. C2×#16810392C2semidirect
8. #20274424C2semidirect
9. C2×C53×#520C2semidirect
12. #16811421C4semidirect
23. #16810631C22semidirect
24. #16810627C22semidirect
28. #16810528C22semidirect
29. #16810524C22semidirect
32. #16810392C22semidirect
33. #16810382C22semidirect
53. C2×#11719945C2×C4semidirect
60. #13133247C2×C4semidirect
63. #13133242C2×C4semidirect
74. C2×#11719917C2×C4semidirect
143. #41×C53C22⋊C4semidirect
148. C2×Q8×C53C22⋊C4semidirect
156. C2×D4×C53C22⋊C4semidirect
200. C2×D212C22×C4semidirect
210. C2×Dic106C22×C4semidirect
240. #11719917C22×C4semidirect
358. C2×#520D53semidirect
411. C53#20943semidirect
517. #41#11719921semidirect
528. C2×Q8#11719921semidirect
546. C2×D4#11719921semidirect

Maximal subgroups

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

subgroupindex
C2×#168114212
C2×#168106402
#202832322
#202773082
#202750912
#202750842
C2×#168103922
#202744242
C2×C53×#5202
#2094353