Finite Group Databasebeta

← #28329246

Subgroups — #28329246

Order 13568.

4892 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20291695C212yesmaximal, complemented
2#20291317C212yesmaximal, complemented
3#20291316C212yesmaximal, complemented
4#20291315C216yesmaximal, complemented
5#20291314C216yesmaximal, complemented
6D53⋊#410C216yesmaximal, complemented
7C2×#16811602C216yesmaximal, complemented
8C2×#16811459C211yesmaximal, characteristic
9#16811692—28no—
10#16811691C2214yescomplemented
11#16811690C22112yescomplemented
12#41×#6157—28no—
13C2×#13133296C22112yescomplemented
14#16811604C22112yescomplemented
15#16811603C22112yescomplemented
16#16811602C2214yescomplemented
17#16811602C22112yescomplemented
18#16811602C22112yescomplemented
19#16811602C22112yescomplemented
20C2×#13133276C22112yescomplemented
21D53⋊#99C22124yescomplemented
22C2×#13133275C22112yescomplemented
23#16811459—28no—
24#16811459—28no—
25C2×#13133265C411yescharacteristic, complemented
26C2×#13133265C2211yescharacteristic
27C2×#13133264C413yescomplemented
28C2×#13133264C2211yescharacteristic
29C2×#13133263C411yescharacteristic, complemented
30C2×#13133263C2213yes—
31C2×#13133262C413yescomplemented
32C2×#13133262C2213yes—
33C22×#11719945C413yescomplemented
34C22×#11719945C2213yes—
35C2×#41×D53C411yescharacteristic, complemented
36C2×#41×D53C413yescomplemented
37C2×#41×D53C2211yescharacteristic
38C2×#41×D53C2213yes—
39C22×#41×C53C411yescharacteristic, complemented
40Q8×#6157—216no—
41D4×#6157—248no—
42#13133296—212no—
43#13133296—212no—
44#13133296C2318yes—
45#13133296C23124yes—
46C2×C4⋊#6157—212no—
47C2×C22⋊#6157C23124yes—
48C2×C4×#6157—212no—
49#13133276C23124yes—
50#13133276C2318yes—
51#13133275C2318yes—
52#13133275C23124yes—
53#13133265—28no—
54#13133265—28no—
55#13133264—28no—
56#13133264—224no—
57#13133263—28no—
58#13133263—224no—
59#13133262—224no—
60#13133262—224no—
61C2×#11719949C2×C411yescharacteristic
62C2×#11719949C2×C411yescharacteristic, complemented
63C2×#11719949C2×C413yescomplemented
64C2×#11719949C2313yes—
65C2×#11719945—212no—
66C2×#11719945—212no—
67C2×#11719945—212no—
68C2×#11719945—212no—
69C2×#11719945C2×C413yes—
70C2×#11719945C2×C413yescomplemented
71C2×#11719945C2×C413yescomplemented
72C2×#11719945C2×C413yescomplemented
73C2×#11719945C2×C413yescomplemented
74C2×#11719945C2×C413yescomplemented
75C2×#11719945C2×C416yescomplemented
76C2×#11719945C2×C413yescomplemented
77C2×#11719945C2×C413yescomplemented
78C2×#11719945C2313yes—
79C2×#11719945C2311yescharacteristic
80C2×#11719945C2313yes—
81C2×#11719945C2313yes—
82C2×#11719947C2×C413yes—
83C2×#11719947C2×C413yescomplemented
84C2×#11719947C2×C416yescomplemented
85C2×#11719947C2×C413yescomplemented
86C2×#11719947C2×C416yescomplemented
87C2×#11719947C2313yes—
88#41×D53—24no—
89#41×D53—24no—
90#41×D53—212no—
91#41×D53—212no—
92#41×D53—212no—
93#41×D53—212no—
94#41×D53D418yes—
95#41×D53D418yes—
96C22×Dic106C2×C413yescomplemented
97C22×Dic106C2×C413yescomplemented
98C2×Q8×D53C2×C413yescomplemented
99C2×Q8×D53C2×C411yescharacteristic, complemented
100C2×Q8×D53C2×C413yescomplemented
101C2×Q8×D53C2311yescharacteristic
102C22×D212C2×C413yescomplemented
103C22×D212C2313yes—
104C22×C22⋊D53C2×C416yescomplemented
105C22×C22⋊D53C2×C413yescomplemented
106C22×C22⋊D53C2313yes—
107C2×D4×D53C2×C416yescomplemented
108C2×D4×D53C2×C413yescomplemented
109C2×D4×D53C2×C413yescomplemented
110C2×D4×D53C2×C413yescomplemented
111C2×D4×D53C2316yes—
112C2×D4×D53C2313yes—
113C22×C4×D53C2×C413yescomplemented
114C22×C4×D53C2×C416yescomplemented
115C22×C4×D53C2313yes—
116C2×#41×C53—24no—
117C2×#41×C53—24no—
118C2×#41×C53C2×C411yescharacteristic
119C2×#41×C53C2×C413yescomplemented
120C2×#41×C53C2×C411yescharacteristic, complemented
121C2×#41×C53C2×C413yescomplemented
122C22×Q8×C53C2×C411yescharacteristic, complemented
123C22×D4×C53C2×C413yescomplemented
124C23×C4×C53C2×C413yescomplemented
125C24×C53C22×C413yes—
126C23×D53C22×C413yes—
127C23×D53C22×C416yes—
128C23×D53C2413yes—
129C22×#6157—224no—
130#41×C53—24no—
131#41×C53—212no—
132#41×C53—26no—
133#41×C53—26no—
134#41×C53C22⋊C414yes—
135#41×C53C22⋊C414yes—
136C2×Q8×C53—24no—
137C2×Q8×C53C22×C413yes—
138C2×Q8×C53C22×C411yescharacteristic
139C2×D4×C53—212no—
140C2×D4×C53C22×C413yes—
141C2×D4×C53C22×C416yes—
142C2×D4×C53C22×C413yes—
143C22×C4×C53—26no—
144C22×C4×C53—26no—
145C22×C4×C53C22×C411yescharacteristic
146C22×C4×C53C22×C413yes—
147C22×C4×C53C22×C413yes—
148C22×C4×C53C22×C413yes—
149C22×C4×C53C22×C413yes—
150C22×C4×C53C22×C413yes—
151C2×C22⋊D53—212no—
152C2×C22⋊D53—224no—
153C2×C22⋊D53—212no—
154C2×C22⋊D53C22×C413yes—
155C2×C22⋊D53C22×C413yes—
156C2×C22⋊D53C22×C413yes—
157C2×C22⋊D53C22×C416yes—
158C2×C22⋊D53C22×C413yes—
159C2×C22⋊D53C22×C411yescharacteristic
160C2×C22⋊D53C22×C413yes—
161C2×C22⋊D53C22×C416yes—
162C2×C22⋊D53C2413yes—
163C2×C22⋊D53C2411yescharacteristic
164C22×Dic53C22×C416yes—
165C22×Dic53C22×C413yes—
166C22×Dic53C22×C413yes—
167#11719949—24no—
168#11719949—212no—
169#11719949—212no—
170#11719949C22⋊C418yes—
171Q8×D53—24no—
172Q8×D53—212no—
173Q8×D53—212no—
174Q8×D53C2×D418yes—
175#11719947—212no—
176#11719947—224no—
177#11719947—224no—
178#11719947—212no—
179#11719947—212no—
180#11719947C22⋊C4124yes—
181D4×D53—224no—
182D4×D53—212no—
183D4×D53—224no—
184D4×D53—212no—
185D4×D53—212no—
186D4×D53C2×D4124yes—
187#11719945—26no—
188#11719945—26no—
189#11719945—224no—
190#11719945—212no—
191#11719945—26no—
192#11719945—26no—
193#11719945—26no—
194#11719945—26no—
195#11719945—212no—
196#11719945—212no—
197#11719945—26no—
198#11719945—26no—
199#11719945—22no—
200#11719945—22no—
201#11719945—212no—
202#11719945—212no—
203#11719945—212no—
204#11719945C22⋊C4112yes—
205#11719945C22⋊C4112yes—
206C2×D212—212no—
207C2×D212—212no—
208C2×D212C22×C413yes—
209C2×D212C22×C413yes—
210C2×D212C22×C413yes—
211C2×D212C22×C413yes—
212C2×D212C2413yes—
213C2×D212C2411yescharacteristic
214C2×C4×D53—26no—
215C2×C4×D53—26no—
216C2×C4×D53—212no—
217C2×C4×D53—212no—
218C2×C4×D53C22×C411yescharacteristic
219C2×C4×D53C22×C413yes—
220C2×C4×D53C22×C416yes—
221C2×C4×D53C22×C413yes—
222C2×C4×D53C22×C413yes—
223C2×C4×D53C22×C416yes—
224C2×C4×D53C22×C413yes—
225C2×C4×D53C22×C413yes—
226C2×C4×D53C2×D4112yes—
227C2×C4×D53C2×D4112yes—
228C2×C4×D53C2411yescharacteristic
229C2×C4×D53C2413yes—
230C2×Dic106—212no—
231C2×Dic106—212no—
232C2×Dic106C22×C413yes—
233C2×Dic106C22×C413yes—
234C2×Dic106C22×C413yes—
235C2×Dic106C22×C413yes—
236C2×Dic106C22×C411yescharacteristic
237C2×Dic106C22×C413yes—
238C22⋊#6157—224no—
239C22⋊#6157C24116yes—
240C4⋊#6157—28no—
241C4⋊#6157—224no—
242C4×#6157—28no—
243C4×#6157—224no—
244C23×C53—26no—
245C23×C53—83no—
246C23×C53C23×C413yes—
247C23×C53C23×C411yescharacteristic
248C23×C53C23×C413yes—
249C22×D53—26no—
250C22×D53—212no—
251C22×D53—83no—
252C22×D53—86no—
253C22×D53—83no—
254C22×D53C23×C413yes—
255C22×D53C23×C411yescharacteristic
256C22×D53C23×C413yes—
257C22×D53C22×D4112yes—
258C22×D53C2511yescharacteristic
259C2×#6157—216no—
260C2×#6157—824no—
261Q8×C53—26no—
262Q8×C53C2×C22⋊C414yes—
263D4×C53—212no—
264D4×C53—26no—
265D4×C53C2×C22⋊C4112yes—
266C2×C4×C53—26no—
267C2×C4×C53—26no—
268C2×C4×C53—23no—
269C2×C4×C53—23no—
270C2×C4×C53—21no—
271C2×C4×C53—21no—
272C2×C4×C53—26no—
273C2×C4×C53C2×C22⋊C416yes—
274C2×C4×C53C2×C22⋊C416yes—
275C2×C4×C53C23×C411yescharacteristic
276C2×C4×C53C23×C413yes—
277C2×C4×C53C23×C413yes—
278C2×C4×C53C23×C411yescharacteristic
279C22⋊D53—212no—
280C22⋊D53—26no—
281C22⋊D53—26no—
282C22⋊D53—22no—
283C22⋊D53—26no—
284C22⋊D53—22no—
285C22⋊D53—26no—
286C22⋊D53—26no—
287C22⋊D53—26no—
288C22⋊D53C2×C22⋊C4124yes—
289C2×Dic53—26no—
290C2×Dic53—212no—
291C2×Dic53C2×C22⋊C4112yes—
292C2×Dic53C23×C411yescharacteristic
293C2×Dic53C23×C413yes—
294C2×Dic53C23×C411yescharacteristic
295C2×Dic53C23×C413yes—
296D212—26no—
297D212—26no—
298D212—22no—
299D212—26no—
300D212—26no—
301D212C2×C22⋊C4112yes—
302C4×D53—212no—
303C4×D53—21no—
304C4×D53—23no—
305C4×D53—21no—
306C4×D53—23no—
307C4×D53—26no—
308C4×D53—26no—
309C4×D53—212no—
310C4×D53C2×C22⋊C416yes—
311C4×D53C2×C22⋊C416yes—
312C4×D53C2×C22⋊C4112yes—
313C4×D53C22×D412yes—
314C4×D53C22×D4112yes—
315C4×D53C22×D412yes—
316Dic106—26no—
317Dic106—22no—
318Dic106—26no—
319Dic106—26no—
320Dic106—26no—
321Dic106C2×C22⋊C4112yes—
322#60070—531nomaximal, Sylow
323C22×C53—23no—
324C22×C53—21no—
325C22×C53—43no—
326C22×C53—43no—
327C22×C53—41no—
328C22×C53—86no—
329C22×C53C22×C22⋊C416yes—
330C22×C53C24×C411yescharacteristic
331C2×D53—21no—
332C2×D53—23no—
333C2×D53—412no—
334C2×D53—43no—
335C2×D53—41no—
336C2×D53—43no—
337C2×D53—41no—
338C2×D53—812no—
339C2×D53—86no—
340C2×D53C22×C22⋊C416yes—
341C2×D53C23×D412yes—
342#6157—416no—
343C4×C53—21no—
344C4×C53—23no—
345C4×C53C22×C22⋊C416yes—
346C4×C53C22×C22⋊C411yescharacteristic
347C4×C53C22×C22⋊C411yescharacteristic
348Dic53—23no—
349Dic53—21no—
350Dic53C22×C22⋊C412yes—
351Dic53C22×C22⋊C416yes—
352C2×#585—531no—
353#3428—532no—
354#2884—532no—
355#2884—532no—
356#2883—536no—
357#2883—536no—
358C2×#410—536no—
359C2×#410—536no—
360C2×C53—21no—
361C2×C53—26no—
362C2×C53—43no—
363C2×C53—41no—
364C2×C53C23×C22⋊C411yescharacteristic
365D53—22no—
366D53—26no—
367D53—43no—
368D53—41no—
369#585—1068no—
370#585—1068no—
371C2×2−1+4—531no—
372C2×2−1+4—533no—
373C2×2−1+4—531no—
374C2×2−1+4—531no—
375C2×H(5,𝔽2)—533no—
376C2×H(5,𝔽2)—531no—
377C2×H(5,𝔽2)—533no—
378C2×H(5,𝔽2)—533no—
379C22×#41—531no—
380C22×#41—531no—
381C22×#41—533no—
382C22×#41—533no—
383C22×#41—533no—
384C22×#41—533no—
385C22×#41#615711yescharacteristic, complemented
386#520—1068no—
387#519—534no—
388#518—5312no—
389C4×#41—1068no—
390C2×#117—5312no—
391#410—534no—
392#410—5312no—
393#410—5312no—
394#410—5312no—
395#410—5312no—
396#410—5312no—
397C2×#99—5312no—
398C2×#99—5324no—
399C2×#99—5312no—
400C53#6007011yescharacteristic, complemented, Sylow
4012−1+4—1068no—
4022−1+4—1068no—
4032−1+4—1068no—
4042−1+4—10624no—
405H(5,𝔽2)—10624no—
406H(5,𝔽2)—10624no—
407H(5,𝔽2)—10624no—
408H(5,𝔽2)—1068no—
409C2×#41—24no—
410C2×#41—24no—
411C2×#41—538no—
412C2×#41—538no—
413C2×#41—531no—
414C2×#41—533no—
415C2×#41—533no—
416C2×#41—531no—
417C2×#41—533no—
418C2×#41—533no—
419C2×#41—536no—
420C2×#41—536no—
421C2×#41—533no—
422C2×#41—533no—
423C2×#41—533no—
424C2×#41—533no—
425C2×#41—531no—
426C2×#41—533no—
427C2×#41—533no—
428C2×#41—533no—
429C2×#41—533no—
430C2×#41—533no—
431C2×#41—533no—
432C2×#41—533no—
433C2×#41—536no—
434C2×#41—533no—
435C2×#41—533no—
436C2×#41—10612no—
437C2×#41—10612no—
438C2×#41—10612no—
439C2×#41—10612no—
440C2×#41—10612no—
441C2×#41—10612no—
442C2×#41—10612no—
443C2×#41—10612no—
444C2×#41—1064no—
445C2×#41—1064no—
446C2×#41C2×#615711yescharacteristic
447C2×#41C2×#615713yescomplemented
448C2×#41C2×#615711yescharacteristic, complemented
449C2×#41C2×#615713yescomplemented
450C22×Q8—531no—
451C22×Q8—533no—
452C22×Q8—533no—
453C22×Q8—531no—
454C22×Q8—533no—
455C22×Q8—533no—
456C22×Q8C2×#615711yescharacteristic, complemented
457C22×D4—533no—
458C22×D4—533no—
459C22×D4—533no—
460C22×D4—536no—
461C22×D4—536no—
462C22×D4—533no—
463C22×D4—536no—
464C22×D4—533no—
465C22×D4—533no—
466C22×D4—533no—
467C22×D4—533no—
468C22×D4C2×#615713yescomplemented
469C23×C4—533no—
470C23×C4—536no—
471C23×C4—533no—
472C23×C4C2×#615713yescomplemented
473C4×Q8—10616no—
474C4×D4—10648no—
475#117—538no—
476#117—5324no—
477#117—10612no—
478#117—10612no—
479C2×C4⋊C4—10612no—
480C2×C22⋊C4—5324no—
481C2×C42—10612no—
482#99—538no—
483#99—5324no—
484#99—5324no—
485#99—538no—
486C24—533no—
487C24—536no—
488C24—533no—
489C24C22×#615713yes—
490#41—24no—
491#41—212no—
492#41—26no—
493#41—26no—
494#41—538no—
495#41—5324no—
496#41—5312no—
497#41—5312no—
498#41—1066no—
499#41—1062no—
500#41—1066no—
501#41—1066no—
502#41—1066no—
503#41—1062no—
504#41—1066no—
505#41—1066no—
506#41—10612no—
507#41—10612no—
508#41—10612no—
509#41—10612no—
510#41—10624no—
511#41—10612no—
512#41—10612no—
513#41—10624no—
514#41—10612no—
515#41—10612no—
516#41—10624no—
517#41—10612no—
518#41—10612no—
519#41—1064no—
520#41—10612no—
521#41—1066no—
522#41—1066no—
523#41C22⋊#615714yes—
524#41C22⋊#615714yes—
525C2×Q8—24no—
526C2×Q8—538no—
527C2×Q8—533no—
528C2×Q8—533no—
529C2×Q8—533no—
530C2×Q8—531no—
531C2×Q8—533no—
532C2×Q8—533no—
533C2×Q8—10612no—
534C2×Q8—10612no—
535C2×Q8—10612no—
536C2×Q8—10612no—
537C2×Q8—1064no—
538C2×Q8C22×#615713yes—
539C2×Q8C22×#615711yescharacteristic
540C2×D4—212no—
541C2×D4—536no—
542C2×D4—5324no—
543C2×D4—533no—
544C2×D4—533no—
545C2×D4—531no—
546C2×D4—533no—
547C2×D4—533no—
548C2×D4—533no—
549C2×D4—536no—
550C2×D4—533no—
551C2×D4—531no—
552C2×D4—533no—
553C2×D4—533no—
554C2×D4—533no—
555C2×D4—533no—
556C2×D4—533no—
557C2×D4—531no—
558C2×D4—10612no—
559C2×D4—10612no—
560C2×D4—10612no—
561C2×D4—10612no—
562C2×D4—10624no—
563C2×D4—10612no—
564C2×D4—10624no—
565C2×D4—10624no—
566C2×D4—10612no—
567C2×D4—10612no—
568C2×D4C22×#615716yes—
569C2×D4C22×#615713yes—
570C2×D4C22×#615713yes—
571C22×C4—26no—
572C22×C4—26no—
573C22×C4—533no—
574C22×C4—5312no—
575C22×C4—5312no—
576C22×C4—533no—
577C22×C4—533no—
578C22×C4—531no—
579C22×C4—533no—
580C22×C4—536no—
581C22×C4—533no—
582C22×C4—533no—
583C22×C4—531no—
584C22×C4—536no—
585C22×C4—536no—
586C22×C4—533no—
587C22×C4—533no—
588C22×C4—10612no—
589C22×C4—10612no—
590C22×C4—1066no—
591C22×C4—1066no—
592C22×C4—10624no—
593C22×C4C22×#615713yes—
594C22×C4C22×#615711yescharacteristic
595C22×C4C22×#615713yes—
596C22×C4C22×#615713yes—
597C22×C4C22×#615713yes—
598C22×C4C22×#615713yes—
599C4⋊C4—1068no—
600C4⋊C4—10624no—
601C22⋊C4—5316no—
602C22⋊C4—10624no—
603C42—1068no—
604C42—10624no—
605C23—26no—
606C23—83no—
607C23—5312no—
608C23—533no—
609C23—531no—
610C23—533no—
611C23—531no—
612C23—10612no—
613C23—1066no—
614C23—4243no—
615C23—4246no—
616C23—4243no—
617C23C23×#615713yes—
618C23C23×#615711yescharacteristic
619C23C23×#615713yes—
620Q8—26no—
621Q8—5312no—
622Q8—1062no—
623Q8—1066no—
624Q8—1066no—
625Q8—1066no—
626Q8—1066no—
627Q8C2×C22⋊#615714yes—
628D4—212no—
629D4—26no—
630D4—5324no—
631D4—5312no—
632D4—1062no—
633D4—1066no—
634D4—1066no—
635D4—1066no—
636D4—1062no—
637D4—1066no—
638D4—1066no—
639D4—1066no—
640D4—1062no—
641D4—1066no—
642D4—1066no—
643D4—1066no—
644D4—10612no—
645D4—1066no—
646D4C2×C22⋊#6157112yes—
647C2×C4—26no—
648C2×C4—21no—
649C2×C4—23no—
650C2×C4—26no—
651C2×C4—26no—
652C2×C4—21no—
653C2×C4—23no—
654C2×C4—5312no—
655C2×C4—531no—
656C2×C4—533no—
657C2×C4—536no—
658C2×C4—5312no—
659C2×C4—5312no—
660C2×C4—532no—
661C2×C4—536no—
662C2×C4—532no—
663C2×C4—533no—
664C2×C4—531no—
665C2×C4—10612no—
666C2×C4—10612no—
667C2×C4—10612no—
668C2×C4—1066no—
669C2×C4—1063no—
670C2×C4—1061no—
671C2×C4—1066no—
672C2×C4—1066no—
673C2×C4—1063no—
674C2×C4—1061no—
675C2×C4—10616no—
676C2×C4—42424no—
677C2×C4C2×C22⋊#615716yes—
678C2×C4C2×C22⋊#615716yes—
679C2×C4C23×#615713yes—
680C2×C4C23×#615711yescharacteristic
681C2×C4C23×#615713yes—
682C2×C4C23×#615711yescharacteristic
683C22—21no—
684C22—23no—
685C22—43no—
686C22—41no—
687C22—43no—
688C22—86no—
689C22—532no—
690C22—536no—
691C22—1063no—
692C22—1061no—
693C22—4246no—
694C22—42412no—
695C22—21212no—
696C22—2121no—
697C22—2123no—
698C22—2121no—
699C22—2123no—
700C22C22×C22⋊#615716yes—
701C22C24×#615711yescharacteristic
702C4—21no—
703C4—23no—
704C4—532no—
705C4—536no—
706C4—1063no—
707C4—1061no—
708C4—21216no—
709C4C22×C22⋊#615711yescharacteristic
710C4C22×C22⋊#615716yes—
711C4C22×C22⋊#615711yescharacteristic
712C2—21no—
713C2—26no—
714C2—41no—
715C2—43no—
716C2—1062no—
717C2—1066no—
718C2—2121no—
719C2—2123no—
720C2C23×C22⋊#615711yescharacteristic
subgroupG/H
centerC4C22×C22⋊#6157
commutatorC22×C53C24×C4
FrattiniC22C24×#6157
FittingC22×#41×C53C4
socleC2×C53C23×C22⋊C4
prime radicalC2×#16811459C2
cosocleC22×D53C25
hypercenterC22×#41#6157
hypocenterC53#60070
LCSG ▷ C22×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C4 ◁ C2×#41 ◁ C22×#41

Complements

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

NH ≅ G/Ntype
1. #20291695C2semidirect
2. #20291317C2semidirect
3. #20291316C2semidirect
4. #20291315C2semidirect
5. #20291314C2semidirect
6. D53⋊#410C2semidirect
7. C2×#16811602C2semidirect
10. #16811691C22semidirect
11. #16811690C22semidirect
13. C2×#13133296C22semidirect
14. #16811604C22semidirect
15. #16811603C22semidirect
16. #16811602C22semidirect
17. #16811602C22semidirect
18. #16811602C22semidirect
19. #16811602C22semidirect
20. C2×#13133276C22semidirect
21. D53⋊#99C22semidirect
22. C2×#13133275C22semidirect
25. C2×#13133265C4semidirect
27. C2×#13133264C4semidirect
29. C2×#13133263C4semidirect
31. C2×#13133262C4semidirect
33. C22×#11719945C4semidirect
35. C2×#41×D53C4semidirect
36. C2×#41×D53C4semidirect
39. C22×#41×C53C4semidirect
62. C2×#11719949C2×C4semidirect
63. C2×#11719949C2×C4semidirect
70. C2×#11719945C2×C4semidirect
71. C2×#11719945C2×C4semidirect
72. C2×#11719945C2×C4semidirect
73. C2×#11719945C2×C4semidirect
74. C2×#11719945C2×C4semidirect
75. C2×#11719945C2×C4semidirect
76. C2×#11719945C2×C4semidirect
77. C2×#11719945C2×C4semidirect
83. C2×#11719947C2×C4semidirect
84. C2×#11719947C2×C4semidirect
85. C2×#11719947C2×C4semidirect
86. C2×#11719947C2×C4semidirect
96. C22×Dic106C2×C4semidirect
97. C22×Dic106C2×C4semidirect
98. C2×Q8×D53C2×C4semidirect
99. C2×Q8×D53C2×C4semidirect
100. C2×Q8×D53C2×C4semidirect
102. C22×D212C2×C4semidirect
104. C22×C22⋊D53C2×C4semidirect
105. C22×C22⋊D53C2×C4semidirect
107. C2×D4×D53C2×C4semidirect
108. C2×D4×D53C2×C4semidirect
109. C2×D4×D53C2×C4semidirect
110. C2×D4×D53C2×C4semidirect
113. C22×C4×D53C2×C4semidirect
114. C22×C4×D53C2×C4semidirect
119. C2×#41×C53C2×C4semidirect
120. C2×#41×C53C2×C4semidirect
121. C2×#41×C53C2×C4semidirect
122. C22×Q8×C53C2×C4semidirect
123. C22×D4×C53C2×C4semidirect
124. C23×C4×C53C2×C4semidirect
385. C22×#41#6157semidirect
400. C53#60070semidirect
447. C2×#41C2×#6157semidirect
448. C2×#41C2×#6157semidirect
449. C2×#41C2×#6157semidirect
456. C22×Q8C2×#6157semidirect
468. C22×D4C2×#6157semidirect
472. C23×C4C2×#6157semidirect

Maximal subgroups

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

subgroupindex
#202916952
#202913172
#202913162
#202913152
#202913142
D53⋊#4102
C2×#168116022
C2×#168114592
#6007053