Finite Group Databasebeta

← #28290951

Subgroups — #28290951

Order 13568.

7226 conjugacy classes of subgroups.

The subgroup lattice has 1432 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288146C214yesmaximal, complemented
2#20288144C214yesmaximal, complemented
3#20288140C214yesmaximal, complemented
4#20288136C214yesmaximal, complemented
5#20288133C214yesmaximal, complemented
6#20288129C214yesmaximal, complemented
7#20288125C214yesmaximal, complemented
8#20288122C214yesmaximal, complemented
9#20288118C211yesmaximal, characteristic, complemented
10#20288107C211yesmaximal, characteristic, complemented
11#20288104C211yesmaximal, characteristic, complemented
12#20288103C212yesmaximal, complemented
13#20288098C218yesmaximal, complemented
14#20288045C212yesmaximal, complemented
15#20288042C211yesmaximal, characteristic, complemented
16#20288011C211yesmaximal, characteristic, complemented
17#20288008C212yesmaximal, complemented
18#20288008C218yesmaximal, complemented
19C2×C4×#11719945C211yesmaximal, characteristic, complemented
20C4×#41×D53C212yesmaximal, complemented
21C53×#3444C211yesmaximal, characteristic, complemented
22C22×#11719945C2211yescharacteristic
23C2×#41×D53C2212yes—
24#16811253C2214yescomplemented
25#16811252C2214yescomplemented
26#16811250C2214yescomplemented
27#16811248C2214yes—
28#16811247C2214yescomplemented
29#16811246C2214yescomplemented
30#16811243C2218yescomplemented
31#16811242C2214yescomplemented
32#16811241C2218yescomplemented
33#16811240C2214yescomplemented
34#16811239C2218yescomplemented
35#16811237C2218yescomplemented
36#16811236C2212yescomplemented
37#16811234C2212yescomplemented
38#16811233C2214yescomplemented
39#16811232C2218yescomplemented
40#16811230C2218yescomplemented
41#16811229C2212yescomplemented
42#16811227C2212yescomplemented
43#16811226C2214yescomplemented
44#16811225C2218yescomplemented
45#16811223C2218yescomplemented
46#16811222C2214yescomplemented
47#16811221C2218yescomplemented
48#16811219C2218yescomplemented
49#16811218C2214yescomplemented
50#16811217C2218yescomplemented
51#16811216C2218yescomplemented
52#16811214C2218yescomplemented
53#16811213C2214yescomplemented
54#16811212C2218yescomplemented
55#16811210C2214yescomplemented
56#16811209C2218yescomplemented
57#16811208C2218yescomplemented
58#16811207C2218yescomplemented
59#16811205C2218yescomplemented
60#16811203C2214yes—
61#16811202C2214yes—
62#16811200C2214yes—
63#16811198C2212yescomplemented
64#16811196C2214yescomplemented
65#16811195C2214yescomplemented
66#16811193C2212yescomplemented
67#16811191C2212yescomplemented
68#16811189C2214yescomplemented
69#16811188C2214yescomplemented
70#16811186C2212yescomplemented
71#16811184C2214yes—
72#16811183C2214yes—
73#16811181C2214yes—
74#16811180C2211yescharacteristic, complemented
75#16811180C2212yescomplemented
76#16811177C2218yescomplemented
77#16811177C2214yescomplemented
78#16811177C2218yescomplemented
79#16811176C2212yescomplemented
80#16811176C2218yescomplemented
81#16811173C2211yescharacteristic
82#16811173C2212yescomplemented
83#16811170C2218yes—
84#16811170C2214yescomplemented
85#16811170C2218yescomplemented
86#16811169C2212yes—
87#16811169C2218yescomplemented
88#16811160C2218yescomplemented
89#16811160C2218yescomplemented
90#16811160C2214yescomplemented
91#16811157C2214yescomplemented
92#16811157C2214yescomplemented
93#16811157C2214yescomplemented
94#16811155C2218yescomplemented
95#16811155C2218yescomplemented
96#16811155C2214yescomplemented
97#16811153C2218yescomplemented
98#16811153C2218yescomplemented
99#16811153C2218yescomplemented
100#16811153C2218yescomplemented
101#16811153C2218yescomplemented
102#16811151C2218yescomplemented
103#16811151C2218yescomplemented
104#16811151C2218yescomplemented
105#16811151C2218yescomplemented
106#16811151C2218yescomplemented
107#16811135C2212yescomplemented
108#16811135C2218yescomplemented
109#16811134C2212yescomplemented
110#16811134C2214yescomplemented
111#16811132C2218yescomplemented
112#16811132C2218yescomplemented
113#16811132C2218yescomplemented
114#16811132C2218yescomplemented
115#16811132C2218yescomplemented
116#16811130C2212yescomplemented
117#16811130C2218yescomplemented
118#41×Dic53C2212yescomplemented
119C4×#11719949C2214yescomplemented
120C4×#11719945C2218yescomplemented
121C4×#11719945C2214yescomplemented
122C4×#11719945C2214yescomplemented
123C4×#11719945C2214yescomplemented
124C4×#11719945C2212yescomplemented
125C4×#11719945C2214yescomplemented
126C4×#11719945C2214yescomplemented
127C4×#11719945C2214yescomplemented
128#16811091C2214yescomplemented
129#16811091C2212yescomplemented
130C4×#11719947C2214yescomplemented
131C4×#11719947C2218yescomplemented
132C2×C4×Dic106C2212yescomplemented
133C4×Q8×D53C2214yescomplemented
134C2×C4×D212C2212yes—
135C2×C4×C22⋊D53C2212yes—
136C2×C4×C22⋊D53C2212yescomplemented
137C4×D4×D53C2218yes—
138C4×D4×D53C2214yescomplemented
139C2×#13133176C2211yescharacteristic, complemented
140C2×#13133174C2211yescharacteristic
141C2×#13133174C2211yescharacteristic, complemented
142#117×D53C2212yes—
143#117×D53C2214yescomplemented
144C2×C42×D53C2211yescharacteristic
145C2×C42×D53C2214yescomplemented
146C2×C42×D53C2211yescharacteristic, complemented
147C53×#533C2211yescharacteristic, complemented
148C53×#533C2212yescomplemented
149C53×#532C2211yescharacteristic
150C53×#532C2212yescomplemented
151C53×#529C2214yescomplemented
152C53×#529C2214yescomplemented
153C53×#529C2214yescomplemented
154C53×#525C2212yescomplemented
155C53×#525C2214yescomplemented
156C4×#41×C53C2214yescomplemented
157C4×#41×C53C2212yescomplemented
158C22×C42×C53C2211yescharacteristic, complemented
159C2×#11719949C2312yes—
160C2×#11719945—28no—
161C2×#11719945C2314yes—
162C2×#11719945C2312yes—
163C2×#11719945C2314yes—
164C2×#11719945C2314yes—
165C2×#11719945C2314yes—
166C2×#11719945C2318yes—
167C2×#11719947C2312yes—
168C2×#11719947C2314yes—
169#41×D53—216no—
170C22×Dic106C2311yescharacteristic
171C2×Q8×D53C2312yes—
172C22×D212C2311yescharacteristic
173C22×C22⋊D53C2311yescharacteristic
174C22×C22⋊D53C2311yescharacteristic
175C2×D4×D53C2314yes—
176C2×D4×D53C2312yes—
177C22×C4×D53C2314yes—
178C22×C4×D53C2311yescharacteristic
179C22×C4×D53C2312yes—
180C22×C4×D53C2318yes—
181C22×C4×D53C2312yes—
182C22×C4×D53C2311yescharacteristic
183#13133217C2311yescharacteristic
184#13133217C2312yes—
185#13133216C2318yes—
186#13133216C2318yes—
187#13133216C2314yes—
188#13133215C2312yes—
189#13133215C2318yes—
190#13133214C2311yescharacteristic
191#13133213C2312yes—
192#13133213C2318yes—
193#13133212C2318yes—
194#13133212C2318yes—
195#13133212C2318yes—
196#13133212C2318yes—
197#13133212C2318yes—
198#13133211C2318yes—
199#13133210C2318yes—
200#13133210C2318yes—
201#13133210C2318yes—
202#13133210C2318yes—
203#13133210C2318yes—
204#13133209C2314yes—
205#13133209C2312yes—
206#13133208C2318yes—
207#13133208C2318yes—
208#13133208C2314yes—
209#13133207C2318yes—
210#13133207C2318yes—
211#13133207C2318yes—
212#13133207C2318yes—
213#13133207C2318yes—
214#13133206C2312yes—
215#13133206C2318yes—
216#13133205C2312yes—
217#13133205C2314yes—
218#13133204C2312yes—
219#13133204C2318yes—
220#13133203C2318yes—
221#13133203C2318yes—
222#13133203C2318yes—
223#13133203C2318yes—
224#13133203C2318yes—
225#13133202C2318yes—
226#13133202C2318yes—
227#13133202C2318yes—
228#13133202C2318yes—
229#13133202C2318yes—
230#13133201C2314yes—
231#13133201C2318yes—
232#13133201C2318yes—
233#13133200C2314yes—
234#13133200C2318yes—
235#13133199C2318yes—
236#13133199C2318yes—
237#13133199C2318yes—
238#13133199C2318yes—
239#13133199C2318yes—
240#13133198C2314yes—
241#13133198C2318yes—
242#13133198C2318yes—
243#13133197C2314yes—
244#13133197C2318yes—
245#13133197C2318yes—
246#13133196C2314yes—
247#13133196C2314yes—
248#13133196C2314yes—
249#13133195C2318yes—
250#13133195C2318yes—
251#13133195C2318yes—
252#13133195C2318yes—
253#13133195C2318yes—
254#13133194C2318yes—
255#13133194C2318yes—
256#13133194C2318yes—
257#13133194C2318yes—
258#13133194C2318yes—
259#13133193C2314yes—
260#13133193C2318yes—
261#13133193C2318yes—
262#13133192C2318yes—
263#13133192C2314yes—
264#13133192C2318yes—
265#13133191C2314yes—
266#13133191C2314yes—
267#13133191C2314yes—
268#13133190C2318yes—
269#13133190C2318yes—
270#13133190C2318yes—
271#13133190C2318yes—
272#13133190C2318yes—
273#13133189C2318yes—
274#13133189C2318yes—
275#13133189C2318yes—
276#13133189C2318yes—
277#13133189C2318yes—
278#13133188C2318yes—
279#13133188C2314yes—
280#13133188C2318yes—
281#13133187C2318yes—
282#13133187C2314yes—
283#13133187C2318yes—
284#13133186C2314yes—
285#13133185C2318yes—
286#13133185C2318yes—
287#13133185C2314yes—
288Q8×Dic53C2314yes—
289C4×Dic106C2318yes—
290C4×Dic106C2314yes—
291C4×Dic106C2314yes—
292C4×Dic106C2314yes—
293C4×Dic106C2314yes—
294C4×Dic106C2314yes—
295C4×Dic106C2314yes—
296C4×Dic106C2318yes—
297C4×Dic106C2318yes—
298C4×Dic106C2314yes—
299#13133182C2318yes—
300#13133182C2314yes—
301C4×D212C2318yes—
302C4×D212C2314yes—
303C4×D212C2314yes—
304C4×D212C2314yes—
305C4×D212C2314yes—
306C4×D212C2314yes—
307C4×D212C2314yes—
308C4×D212C2318yes—
309C4×D212C2318yes—
310C4×D212C2314yes—
311D4×Dic53C2318yes—
312D4×Dic53C2314yes—
313#13133179C2318yes—
314#13133179C2314yes—
315C4×C22⋊D53C2318yes—
316C4×C22⋊D53C2318yes—
317C4×C22⋊D53C2318yes—
318C4×C22⋊D53C2314yes—
319C4×C22⋊D53C2314yes—
320C4×C22⋊D53C2314yes—
321C4×C22⋊D53C2314yes—
322C4×C22⋊D53C2314yes—
323C4×C22⋊D53C2314yes—
324C4×C22⋊D53C2314yes—
325C4×C22⋊D53C2314yes—
326C4×C22⋊D53C2318yes—
327C4×C22⋊D53C2318yes—
328C4×C22⋊D53C2318yes—
329C4×C22⋊D53C2318yes—
330C4×C22⋊D53C2318yes—
331C4×C22⋊D53C2318yes—
332#13133177C2318yes—
333#13133177C2318yes—
334#13133177C2318yes—
335#13133176C2312yes—
336#13133176C2314yes—
337#13133176C2314yes—
338#13133176C2314yes—
339#13133176C2318yes—
340#13133176C2314yes—
341#13133175C2314yes—
342#13133175C2318yes—
343#13133174C2314yes—
344#13133174C2314yes—
345#13133174C2314yes—
346#13133174C2314yes—
347#13133174C2312yes—
348#13133174C2312yes—
349#13133174C2314yes—
350#13133174C2312yes—
351#13133174C2312yes—
352#13133174C2318yes—
353#13133174C2318yes—
354#13133174C2318yes—
355#13133173C2314yes—
356#13133173C2318yes—
357C2×C4⋊Dic53C2312yes—
358C2×#11719919C2312yes—
359C2×#11719919C2312yes—
360C4⋊C4×D53C2314yes—
361C4⋊C4×D53C2318yes—
362C2×C22⋊Dic53C2312yes—
363C2×#11719921C2312yes—
364C2×#11719921C2312yes—
365C22⋊C4×D53C2314yes—
366C22⋊C4×D53C2318yes—
367C2×C4×Dic53C2311yescharacteristic
368C2×C4×Dic53C2312yes—
369C2×C4×Dic53C2311yescharacteristic
370C2×C4×Dic53C2312yes—
371C2×C4×Dic53C2318yes—
372C2×C4×Dic53C2314yes—
373C42×D53C2312yes—
374C42×D53C2312yes—
375C42×D53C2314yes—
376C42×D53C2314yes—
377C42×D53C2318yes—
378C42×D53C2318yes—
379C42×D53C2314yes—
380C42×D53C2314yes—
381C42×D53C2312yes—
382C42×D53C2312yes—
383C42×D53C2314yes—
384C2×#41×C53C2312yes—
385C2×#41×C53C2314yes—
386C23×C4×C53C2311yescharacteristic
387C23×C4×C53C2312yes—
388C4⋊Q8×C53C2311yescharacteristic
389C4⋊Q8×C53C2312yes—
390#127×C53C2311yescharacteristic
391#126×C53C2318yes—
392#125×C53C2314yes—
393#125×C53C2312yes—
394#124×C53C2312yes—
395#124×C53C2314yes—
396#123×C53C2314yes—
397#123×C53C2318yes—
398C22⋊Q8×C53C2314yes—
399C22⋊Q8×C53C2314yes—
400C22⋊Q8×C53C2314yes—
401#121×C53C2314yes—
402#121×C53C2314yes—
403#121×C53C2314yes—
404#120×C53C2314yes—
405C4×Q8×C53C2314yes—
406C4×Q8×C53C2314yes—
407C4×Q8×C53C2314yes—
408C4×D4×C53C2318yes—
409C4×D4×C53C2318yes—
410C4×D4×C53C2318yes—
411C4×D4×C53C2314yes—
412C4×D4×C53C2314yes—
413C4×D4×C53C2314yes—
414#117×C53C2312yes—
415#117×C53C2314yes—
416#117×C53C2314yes—
417#117×C53C2318yes—
418C2×C42×C53C2311yescharacteristic
419C2×C42×C53C2312yes—
420C2×C42×C53C2312yes—
421C2×C42×C53C2312yes—
422C2×C42×C53C2312yes—
423C2×C42×C53C2311yescharacteristic
424C2×C42×C53C2312yes—
425C2×C42×C53C2314yes—
426C24×C53C2411yescharacteristic
427C23×D53C2414yes—
428C23×D53C2411yescharacteristic
429C23×D53C2411yescharacteristic
430#41×C53—28no—
431#41×C53—48no—
432C2×Q8×C53C2412yes—
433C2×Q8×C53C2414yes—
434C2×D4×C53C2414yes—
435C2×D4×C53C2412yes—
436C2×D4×C53C2418yes—
437C2×D4×C53C2414yes—
438C22×C4×C53—24no—
439C22×C4×C53—44no—
440C22×C4×C53C2412yes—
441C22×C4×C53C2412yes—
442C22×C4×C53C2412yes—
443C22×C4×C53C2412yes—
444C22×C4×C53C2412yes—
445C22×C4×C53C2411yescharacteristic
446C22×C4×C53C2414yes—
447C22×C4×C53C2418yes—
448C22×C4×C53C2412yes—
449C22×C4×C53C2412yes—
450C22×C4×C53C2412yes—
451C22×C4×C53C2411yescharacteristic
452C2×C22⋊D53—24no—
453C2×C22⋊D53—24no—
454C2×C22⋊D53C2414yes—
455C2×C22⋊D53C2414yes—
456C2×C22⋊D53C2414yes—
457C2×C22⋊D53C2414yes—
458C2×C22⋊D53C2414yes—
459C2×C22⋊D53C2418yes—
460C2×C22⋊D53C2418yes—
461C2×C22⋊D53C2418yes—
462C22×Dic53C2411yescharacteristic
463C22×Dic53C2414yes—
464C22×Dic53C2412yes—
465C22×Dic53C2412yes—
466C22×Dic53C2418yes—
467C22×Dic53C2411yescharacteristic
468#11719949—28no—
469Q8×D53—28no—
470#11719947—216no—
471#11719947—28no—
472D4×D53—216no—
473D4×D53—28no—
474#11719945—28no—
475#11719945—216no—
476#11719945—216no—
477#11719945—216no—
478#11719945—416no—
479#11719945—48no—
480C2×D212—24no—
481C2×D212C2414yes—
482C2×D212C2412yes—
483C2×D212C2414yes—
484C2×D212C2414yes—
485C2×D212C2418yes—
486C2×C4×D53—24no—
487C2×C4×D53—216no—
488C2×C4×D53—44no—
489C2×C4×D53—416no—
490C2×C4×D53—44no—
491C2×C4×D53#4118yescomplemented
492C2×C4×D53C2414yes—
493C2×C4×D53C2414yes—
494C2×C4×D53C2414yes—
495C2×C4×D53C2412yes—
496C2×C4×D53C2418yes—
497C2×C4×D53C2414yes—
498C2×C4×D53C2412yes—
499C2×C4×D53C2414yes—
500C2×C4×D53C2414yes—
501C2×C4×D53C2418yes—
502C2×C4×D53C2418yes—
503C2×C4×D53C2414yes—
504C2×C4×D53C2412yes—
505C2×C4×D53C2412yes—
506C2×Dic106—24no—
507C2×Dic106C2414yes—
508C2×Dic106C2412yes—
509C2×Dic106C2414yes—
510C2×Dic106C2414yes—
511C2×Dic106C2418yes—
512C4⋊C4×C53C2414yes—
513C4⋊C4×C53C2414yes—
514C4⋊C4×C53C2414yes—
515C4⋊C4×C53C2418yes—
516C4⋊C4×C53C2418yes—
517C4⋊C4×C53C2418yes—
518C22⋊C4×C53C2414yes—
519C22⋊C4×C53C2418yes—
520C22⋊C4×C53C2418yes—
521C22⋊C4×C53C2418yes—
522C22⋊C4×C53C2418yes—
523C42×C53C2411yescharacteristic
524C42×C53C2412yes—
525C42×C53C2412yes—
526C42×C53C2412yes—
527C42×C53C2412yes—
528C42×C53C2411yescharacteristic
529C42×C53C2412yes—
530C42×C53C2412yes—
531C42×C53C2411yescharacteristic
532C42×C53C2414yes—
533C42×C53C2418yes—
534C42×C53C2411yescharacteristic
535C22⋊Dic53C2414yes—
536C22⋊Dic53C2418yes—
537C22⋊Dic53C2414yes—
538C22⋊Dic53C2414yes—
539C22⋊Dic53C2418yes—
540C22⋊Dic53C2418yes—
541C22⋊Dic53C2418yes—
542#11719921C2418yes—
543#11719921C2418yes—
544#11719921C2418yes—
545#11719921C2414yes—
546#11719921C2414yes—
547#11719921C2414yes—
548#11719921C2414yes—
549#11719921C2418yes—
550#11719921C2418yes—
551#11719921C2418yes—
552#11719921C2418yes—
553#11719921C2418yes—
554#11719921C2418yes—
555C4⋊Dic53C2414yes—
556C4⋊Dic53C2418yes—
557C4⋊Dic53C2414yes—
558C4⋊Dic53C2414yes—
559C4⋊Dic53C2418yes—
560C4⋊Dic53C2418yes—
561C4⋊Dic53C2414yes—
562C4⋊Dic53C2414yes—
563#11719919C2418yes—
564#11719919C2418yes—
565#11719919C2418yes—
566#11719919C2414yes—
567#11719919C2414yes—
568#11719919C2414yes—
569#11719919C2414yes—
570#11719919C2418yes—
571#11719919C2418yes—
572#11719919C2418yes—
573#11719919C2418yes—
574#11719919C2418yes—
575#11719919C2418yes—
576C4×Dic53C2412yes—
577C4×Dic53C2414yes—
578C4×Dic53C2414yes—
579C4×Dic53C2418yes—
580C4×Dic53C2414yes—
581C4×Dic53C2412yes—
582C4×Dic53C2418yes—
583C4×Dic53C2414yes—
584C4×Dic53C2412yes—
585C4×Dic53C2412yes—
586C4×Dic53C2418yes—
587C4×Dic53C2414yes—
588C4×Dic53C2418yes—
589C23×C53—22no—
590C23×C53—42no—
591C23×C53C2514yes—
592C23×C53C2512yes—
593C23×C53C2511yescharacteristic
594C22×D53—22no—
595C22×D53—28no—
596C22×D53—42no—
597C22×D53—48no—
598C22×D53—42no—
599C22×D53C2×#4114yes—
600C22×D53C2512yes—
601C22×D53C2514yes—
602C22×D53C2512yes—
603Q8×C53—24no—
604Q8×C53—44no—
605D4×C53—28no—
606D4×C53—24no—
607D4×C53—48no—
608D4×C53—44no—
609C2×C4×C53—22no—
610C2×C4×C53—28no—
611C2×C4×C53—24no—
612C2×C4×C53—24no—
613C2×C4×C53—24no—
614C2×C4×C53—216no—
615C2×C4×C53—24no—
616C2×C4×C53—24no—
617C2×C4×C53—42no—
618C2×C4×C53—42no—
619C2×C4×C53—42no—
620C2×C4×C53C2×#4114yes—
621C2×C4×C53C2512yes—
622C2×C4×C53C2512yes—
623C2×C4×C53C2514yes—
624C2×C4×C53C2518yes—
625C2×C4×C53C2512yes—
626C2×C4×C53C2512yes—
627C2×C4×C53C2511yescharacteristic
628C2×C4×C53C2511yescharacteristic
629C2×C4×C53C2512yes—
630C22⋊D53—28no—
631C22⋊D53—28no—
632C22⋊D53—28no—
633C22⋊D53—28no—
634C22⋊D53—28no—
635C22⋊D53—48no—
636C22⋊D53—48no—
637C22⋊D53—48no—
638C2×Dic53—22no—
639C2×Dic53—28no—
640C2×Dic53—42no—
641C2×Dic53—48no—
642C2×Dic53—42no—
643C2×Dic53C2×#4114yes—
644C2×Dic53C2514yes—
645C2×Dic53C2512yes—
646C2×Dic53C2518yes—
647C2×Dic53C2514yes—
648C2×Dic53C2514yes—
649C2×Dic53C2512yes—
650D212—28no—
651D212—28no—
652D212—24no—
653D212—44no—
654D212—48no—
655C4×D53—28no—
656C4×D53—24no—
657C4×D53—24no—
658C4×D53—28no—
659C4×D53—28no—
660C4×D53—216no—
661C4×D53—28no—
662C4×D53—28no—
663C4×D53—48no—
664C4×D53—44no—
665C4×D53—48no—
666C4×D53—44no—
667C4×D53C2×#4118yes—
668C4×D53C2×#4118yes—
669Dic106—24no—
670Dic106—28no—
671Dic106—28no—
672Dic106—44no—
673Dic106—48no—
674#62686—531nomaximal, Sylow
675C22×C53—22no—
676C22×C53—24no—
677C22×C53—22no—
678C22×C53—28no—
679C22×C53—22no—
680C22×C53—22no—
681C22×C53—44no—
682C22×C53C22×#4112yes—
683C22×C53C2611yescharacteristic
684C2×D53—24no—
685C2×D53—22no—
686C2×D53—24no—
687C2×D53—28no—
688C2×D53—24no—
689C2×D53—44no—
690C2×D53—416no—
691C2×D53—44no—
692C2×D53C22×#4114yes—
693C4×C53—22no—
694C4×C53—24no—
695C4×C53—22no—
696C4×C53—28no—
697C4×C53—22no—
698C4×C53—22no—
699C4×C53C22×#4112yes—
700C4×C53C22×#4112yes—
701C4×C53#58514yes—
702Dic53—24no—
703Dic53—22no—
704Dic53—28no—
705Dic53—24no—
706Dic53—24no—
707Dic53C22×#4114yes—
708#3461—534no—
709#3461—534no—
710#3461—534no—
711#3460—534no—
712#3460—534no—
713#3460—534no—
714#3459—534no—
715#3459—534no—
716#3458—531no—
717#3455—531no—
718#3455—531no—
719#3455—538no—
720#3455—532no—
721#3449—531no—
722#3449—532no—
723#3444—531no—
724#3444—538no—
725#3444—532no—
726#3444D5311yescharacteristic, complemented
727C2×C4×#41—531no—
728C2×C4×#41—532no—
729C2×C53—22no—
730C2×C53—44no—
731C2×C53—42no—
732C2×C53C23×#4111yescharacteristic
733C2×C53C2×#58512yes—
734D53—24no—
735D53—44no—
736D53—42no—
737C22×#41—532no—
738C22×#41—531no—
739#544—534no—
740#544—534no—
741#544—534no—
742#543—534no—
743#542—534no—
744#542—538no—
745#542—538no—
746#542—534no—
747#542—538no—
748#542—538no—
749#542—534no—
750#542—534no—
751#541—532no—
752#541—538no—
753#541—538no—
754#541—532no—
755#541—534no—
756#540—532no—
757#540—532no—
758#540—538no—
759#540—538no—
760#540—534no—
761#539—538no—
762#539—538no—
763#539—538no—
764#539—538no—
765#539—538no—
766#539—534no—
767#539—534no—
768#538—538no—
769#538—538no—
770#538—538no—
771#538—534no—
772#538—538no—
773#538—534no—
774#538—538no—
775#537—534no—
776#537—534no—
777#537—534no—
778#536—532no—
779#536—532no—
780#536—534no—
781#536—534no—
782#535—532no—
783#535—532no—
784#535—534no—
785#535—534no—
786#534—534no—
787#534—534no—
788#534—534no—
789#533—538no—
790#533—538no—
791#533—534no—
792#533—532no—
793#533—538no—
794#533—531no—
795#533—532no—
796#533C2×D5311yescharacteristic, complemented
797#533C2×D5312yescomplemented
798#532—532no—
799#532—538no—
800#532—538no—
801#532—538no—
802#532—534no—
803#532—531no—
804#532—532no—
805#532C2×D5311yescharacteristic
806#532C2×D5312yescomplemented
807#529—538no—
808#529—538no—
809#529—534no—
810#529—538no—
811#529—538no—
812#529—538no—
813#529—538no—
814#529—538no—
815#529—538no—
816#529—538no—
817#529—534no—
818#529—538no—
819#529—538no—
820#529—538no—
821#529—538no—
822#529—538no—
823#529—534no—
824#529—534no—
825#529—534no—
826#529C2×D5314yescomplemented
827#529C2×D5314yescomplemented
828#529C2×D5314yescomplemented
829#525—532no—
830#525—538no—
831#525—532no—
832#525—534no—
833#525—538no—
834#525—538no—
835#525—538no—
836#525—538no—
837#525—538no—
838#525—532no—
839#525—538no—
840#525C2×D5312yescomplemented
841#525C2×D5314yescomplemented
842C4×#41—532no—
843C4×#41—534no—
844C4×#41—538no—
845C4×#41—534no—
846C4×#41—532no—
847C4×#41—534no—
848C4×#41—532no—
849C4×#41—534no—
850C4×#41—534no—
851C4×#41—534no—
852C4×#41—534no—
853C4×#41—534no—
854C4×#41—534no—
855C4×#41—538no—
856C4×#41C2×D5312yescomplemented
857C4×#41C2×D5314yescomplemented
858C2×C4×Q8—534no—
859C2×C4×Q8—532no—
860C2×C4×D4—532no—
861C2×C4×D4—532no—
862C2×C4×D4—538no—
863C2×C4×D4—534no—
864C2×C4×D4—532no—
865C2×#117—531no—
866C2×#117—532no—
867C2×#117—534no—
868C2×#117—531no—
869C2×#117—531no—
870C22×C42—531no—
871C22×C42—531no—
872C22×C42—534no—
873C22×C42C2×D5311yescharacteristic, complemented
874C53#6268611yescharacteristic, complemented, Sylow
875C2×#41—532no—
876C2×#41—534no—
877C2×#41—532no—
878C2×#41—534no—
879C2×#41—534no—
880C2×#41—532no—
881C2×#41—534no—
882C2×#41—538no—
883C2×#41—534no—
884C2×#41—1068no—
885C2×#41—10616no—
886C2×#41C22×D5312yes—
887C2×#41C22×D5314yes—
888C22×Q8—532no—
889C22×Q8—531no—
890C22×D4—531no—
891C22×D4—531no—
892C22×D4—534no—
893C22×D4—532no—
894C22×D4—531no—
895C23×C4—531no—
896C23×C4—534no—
897C23×C4—531no—
898C23×C4—532no—
899C23×C4—532no—
900C23×C4—538no—
901C23×C4C22×D5311yescharacteristic
902C23×C4C22×D5312yes—
903C4⋊Q8—532no—
904C4⋊Q8—538no—
905C4⋊Q8—538no—
906C4⋊Q8—538no—
907C4⋊Q8—534no—
908C4⋊Q8—531no—
909C4⋊Q8—532no—
910C4⋊Q8C22×D5311yescharacteristic
911C4⋊Q8C22×D5312yes—
912#127—538no—
913#127—532no—
914#127—531no—
915#127C22×D5311yescharacteristic
916#126—538no—
917#126—538no—
918#126—538no—
919#126—538no—
920#126—538no—
921#126—538no—
922#126—538no—
923#126—538no—
924#126—538no—
925#126—538no—
926#126—538no—
927#126C22×D5318yes—
928#125—538no—
929#125—538no—
930#125—538no—
931#125—538no—
932#125—538no—
933#125—538no—
934#125—538no—
935#125—534no—
936#125—534no—
937#125—532no—
938#125C22×D5314yes—
939#125C22×D5312yes—
940#124—532no—
941#124—538no—
942#124—532no—
943#124—538no—
944#124—538no—
945#124—538no—
946#124—538no—
947#124—538no—
948#124—538no—
949#124—532no—
950#124—534no—
951#124C22×D5312yes—
952#124C22×D5314yes—
953#123—534no—
954#123—538no—
955#123—538no—
956#123—534no—
957#123—538no—
958#123—538no—
959#123—538no—
960#123—538no—
961#123—538no—
962#123—538no—
963#123—538no—
964#123—538no—
965#123—534no—
966#123—538no—
967#123—538no—
968#123—538no—
969#123—538no—
970#123—538no—
971#123C22×D5314yes—
972#123C22×D5318yes—
973C22⋊Q8—534no—
974C22⋊Q8—538no—
975C22⋊Q8—538no—
976C22⋊Q8—534no—
977C22⋊Q8—534no—
978C22⋊Q8—534no—
979C22⋊Q8—538no—
980C22⋊Q8—538no—
981C22⋊Q8—534no—
982C22⋊Q8—538no—
983C22⋊Q8—538no—
984C22⋊Q8—538no—
985C22⋊Q8—538no—
986C22⋊Q8—538no—
987C22⋊Q8—538no—
988C22⋊Q8—538no—
989C22⋊Q8—538no—
990C22⋊Q8—538no—
991C22⋊Q8—538no—
992C22⋊Q8C22×D5314yes—
993C22⋊Q8C22×D5314yes—
994C22⋊Q8C22×D5314yes—
995#121—538no—
996#121—538no—
997#121—534no—
998#121—538no—
999#121—538no—
1000#121—538no—
1001#121—538no—
1002#121—538no—
1003#121—534no—
1004#121—534no—
1005#121—534no—
1006#121—538no—
1007#121—534no—
1008#121—538no—
1009#121—538no—
1010#121—538no—
1011#121—538no—
1012#121—538no—
1013#121—538no—
1014#121C22×D5314yes—
1015#121C22×D5314yes—
1016#121C22×D5314yes—
1017#120—534no—
1018#120—534no—
1019#120—538no—
1020#120—538no—
1021#120—538no—
1022#120—538no—
1023#120—534no—
1024#120C22×D5314yes—
1025C4×Q8—534no—
1026C4×Q8—538no—
1027C4×Q8—534no—
1028C4×Q8—538no—
1029C4×Q8—534no—
1030C4×Q8—534no—
1031C4×Q8—534no—
1032C4×Q8—534no—
1033C4×Q8—534no—
1034C4×Q8—538no—
1035C4×Q8—538no—
1036C4×Q8—534no—
1037C4×Q8—534no—
1038C4×Q8C22×D5314yes—
1039C4×Q8C22×D5314yes—
1040C4×Q8C22×D5314yes—
1041C4×D4—538no—
1042C4×D4—534no—
1043C4×D4—538no—
1044C4×D4—538no—
1045C4×D4—534no—
1046C4×D4—534no—
1047C4×D4—538no—
1048C4×D4—534no—
1049C4×D4—534no—
1050C4×D4—534no—
1051C4×D4—534no—
1052C4×D4—534no—
1053C4×D4—534no—
1054C4×D4—538no—
1055C4×D4—538no—
1056C4×D4—538no—
1057C4×D4—538no—
1058C4×D4—538no—
1059C4×D4—538no—
1060C4×D4—538no—
1061C4×D4—534no—
1062C4×D4—538no—
1063C4×D4—538no—
1064C4×D4—538no—
1065C4×D4—538no—
1066C4×D4—534no—
1067C4×D4—534no—
1068C4×D4—534no—
1069C4×D4—534no—
1070C4×D4—534no—
1071C4×D4—538no—
1072C4×D4—538no—
1073C4×D4—534no—
1074C4×D4—534no—
1075C4×D4C22×D5318yes—
1076C4×D4C22×D5314yes—
1077C4×D4C22×D5314yes—
1078C4×D4C22×D5314yes—
1079C4×D4C22×D5318yes—
1080C4×D4C22×D5318yes—
1081#117—532no—
1082#117—534no—
1083#117—534no—
1084#117—534no—
1085#117—538no—
1086#117—534no—
1087#117—534no—
1088#117—538no—
1089#117—534no—
1090#117—538no—
1091#117—534no—
1092#117—534no—
1093#117—534no—
1094#117—534no—
1095#117—534no—
1096#117—532no—
1097#117—532no—
1098#117—532no—
1099#117—532no—
1100#117—538no—
1101#117—538no—
1102#117—538no—
1103#117C22×D5312yes—
1104#117C22×D5314yes—
1105#117C22×D5318yes—
1106#117C22×D5314yes—
1107C2×C4⋊C4—532no—
1108C2×C4⋊C4—532no—
1109C2×C4⋊C4—532no—
1110C2×C4⋊C4—534no—
1111C2×C4⋊C4—538no—
1112C2×C22⋊C4—532no—
1113C2×C22⋊C4—532no—
1114C2×C22⋊C4—532no—
1115C2×C22⋊C4—534no—
1116C2×C22⋊C4—538no—
1117C2×C42—531no—
1118C2×C42—531no—
1119C2×C42—532no—
1120C2×C42—532no—
1121C2×C42—534no—
1122C2×C42—538no—
1123C2×C42—532no—
1124C2×C42—534no—
1125C2×C42—534no—
1126C2×C42—538no—
1127C2×C42—534no—
1128C2×C42—532no—
1129C2×C42—538no—
1130C2×C42—534no—
1131C2×C42—532no—
1132C2×C42—534no—
1133C2×C42—532no—
1134C2×C42C22×D5311yescharacteristic
1135C2×C42C22×D5312yes—
1136C2×C42C22×D5312yes—
1137C2×C42C22×D5312yes—
1138C2×C42C22×D5312yes—
1139C2×C42C22×D5312yes—
1140C2×C42C22×D5314yes—
1141C2×C42C22×D5311yescharacteristic
1142C24—531no—
1143C24—534no—
1144C24—531no—
1145C24C23×D5311yescharacteristic
1146#41—28no—
1147#41—48no—
1148#41—10616no—
1149#41—10616no—
1150#41—10616no—
1151#41—10616no—
1152#41—1068no—
1153#41—1068no—
1154#41—1068no—
1155#41—2128no—
1156#41—21216no—
1157C2×Q8—534no—
1158C2×Q8—534no—
1159C2×Q8—532no—
1160C2×Q8—538no—
1161C2×Q8—534no—
1162C2×Q8—1064no—
1163C2×Q8—1068no—
1164C2×Q8C23×D5312yes—
1165C2×Q8C23×D5314yes—
1166C2×D4—534no—
1167C2×D4—534no—
1168C2×D4—534no—
1169C2×D4—534no—
1170C2×D4—534no—
1171C2×D4—538no—
1172C2×D4—538no—
1173C2×D4—538no—
1174C2×D4—534no—
1175C2×D4—534no—
1176C2×D4—532no—
1177C2×D4—538no—
1178C2×D4—534no—
1179C2×D4—1064no—
1180C2×D4—1068no—
1181C2×D4—1064no—
1182C2×D4—10616no—
1183C2×D4—1064no—
1184C2×D4C23×D5314yes—
1185C2×D4C23×D5312yes—
1186C2×D4C23×D5314yes—
1187C2×D4C23×D5318yes—
1188C22×C4—24no—
1189C22×C4—44no—
1190C22×C4—531no—
1191C22×C4—538no—
1192C22×C4—532no—
1193C22×C4—532no—
1194C22×C4—531no—
1195C22×C4—534no—
1196C22×C4—532no—
1197C22×C4—532no—
1198C22×C4—538no—
1199C22×C4—534no—
1200C22×C4—534no—
1201C22×C4—532no—
1202C22×C4—534no—
1203C22×C4—538no—
1204C22×C4—534no—
1205C22×C4—534no—
1206C22×C4—532no—
1207C22×C4—534no—
1208C22×C4—538no—
1209C22×C4—538no—
1210C22×C4—534no—
1211C22×C4—10616no—
1212C22×C4—1064no—
1213C22×C4—2124no—
1214C22×C4—2124no—
1215C22×C4—21216no—
1216C22×C4C23×D5312yes—
1217C22×C4C23×D5314yes—
1218C22×C4C23×D5318yes—
1219C22×C4C23×D5311yescharacteristic
1220C22×C4C23×D5312yes—
1221C22×C4C23×D5312yes—
1222C22×C4C23×D5312yes—
1223C22×C4C23×D5312yes—
1224C22×C4C23×D5312yes—
1225C22×C4C23×D5312yes—
1226C22×C4C23×D5312yes—
1227C22×C4C23×D5311yescharacteristic
1228C4⋊C4—538no—
1229C4⋊C4—534no—
1230C4⋊C4—534no—
1231C4⋊C4—534no—
1232C4⋊C4—538no—
1233C4⋊C4—534no—
1234C4⋊C4—534no—
1235C4⋊C4—538no—
1236C4⋊C4—538no—
1237C4⋊C4—534no—
1238C4⋊C4—534no—
1239C4⋊C4—538no—
1240C4⋊C4—538no—
1241C4⋊C4—538no—
1242C4⋊C4—538no—
1243C4⋊C4—538no—
1244C4⋊C4—538no—
1245C4⋊C4—538no—
1246C4⋊C4—538no—
1247C4⋊C4—534no—
1248C4⋊C4—534no—
1249C4⋊C4C23×D5314yes—
1250C4⋊C4C23×D5318yes—
1251C4⋊C4C23×D5318yes—
1252C4⋊C4C23×D5318yes—
1253C4⋊C4C23×D5314yes—
1254C4⋊C4C23×D5314yes—
1255C22⋊C4—534no—
1256C22⋊C4—534no—
1257C22⋊C4—534no—
1258C22⋊C4—538no—
1259C22⋊C4—538no—
1260C22⋊C4—538no—
1261C22⋊C4—538no—
1262C22⋊C4—538no—
1263C22⋊C4—534no—
1264C22⋊C4—534no—
1265C22⋊C4—538no—
1266C22⋊C4—534no—
1267C22⋊C4—534no—
1268C22⋊C4—538no—
1269C22⋊C4—538no—
1270C22⋊C4—538no—
1271C22⋊C4—538no—
1272C22⋊C4—538no—
1273C22⋊C4—538no—
1274C22⋊C4—538no—
1275C22⋊C4C23×D5314yes—
1276C22⋊C4C23×D5318yes—
1277C22⋊C4C23×D5318yes—
1278C22⋊C4C23×D5318yes—
1279C22⋊C4C23×D5318yes—
1280C42—532no—
1281C42—534no—
1282C42—534no—
1283C42—532no—
1284C42—532no—
1285C42—534no—
1286C42—534no—
1287C42—538no—
1288C42—538no—
1289C42—532no—
1290C42—538no—
1291C42—538no—
1292C42—534no—
1293C42C23×D5311yescharacteristic
1294C42C23×D5312yes—
1295C42C23×D5314yes—
1296C42C23×D5318yes—
1297C42C23×D5312yes—
1298C42C23×D5312yes—
1299C42C23×D5311yescharacteristic
1300C42C23×D5311yescharacteristic
1301C42C23×D5312yes—
1302C42C23×D5312yes—
1303C42C23×D5312yes—
1304C42C23×D5311yescharacteristic
1305C23—22no—
1306C23—42no—
1307C23—532no—
1308C23—534no—
1309C23—534no—
1310C23—532no—
1311C23—1068no—
1312C23—1062no—
1313C23—2122no—
1314C23—2122no—
1315C23—2128no—
1316C23C24×D5312yes—
1317C23C24×D5314yes—
1318C23C24×D5311yescharacteristic
1319Q8—24no—
1320Q8—44no—
1321Q8—1068no—
1322Q8—1068no—
1323Q8—1064no—
1324Q8—2124no—
1325Q8—2128no—
1326D4—28no—
1327D4—24no—
1328D4—44no—
1329D4—48no—
1330D4—1068no—
1331D4—1068no—
1332D4—1068no—
1333D4—1068no—
1334D4—1068no—
1335D4—1068no—
1336D4—1068no—
1337D4—1064no—
1338D4—2124no—
1339D4—2128no—
1340D4—2128no—
1341D4—2128no—
1342D4—2128no—
1343C2×C4—22no—
1344C2×C4—24no—
1345C2×C4—24no—
1346C2×C4—28no—
1347C2×C4—24no—
1348C2×C4—24no—
1349C2×C4—24no—
1350C2×C4—216no—
1351C2×C4—42no—
1352C2×C4—42no—
1353C2×C4—42no—
1354C2×C4—534no—
1355C2×C4—532no—
1356C2×C4—538no—
1357C2×C4—538no—
1358C2×C4—534no—
1359C2×C4—532no—
1360C2×C4—534no—
1361C2×C4—538no—
1362C2×C4—534no—
1363C2×C4—1068no—
1364C2×C4—1068no—
1365C2×C4—1068no—
1366C2×C4—1062no—
1367C2×C4—1068no—
1368C2×C4—1064no—
1369C2×C4—1064no—
1370C2×C4—1068no—
1371C2×C4—10616no—
1372C2×C4—1068no—
1373C2×C4—2124no—
1374C2×C4—2124no—
1375C2×C4—2128no—
1376C2×C4—2128no—
1377C2×C4—2122no—
1378C2×C4—2128no—
1379C2×C4—2122no—
1380C2×C4#41×D5314yes—
1381C2×C4C24×D5312yes—
1382C2×C4C24×D5314yes—
1383C2×C4C24×D5318yes—
1384C2×C4C24×D5312yes—
1385C2×C4C24×D5312yes—
1386C2×C4C24×D5312yes—
1387C2×C4C24×D5311yescharacteristic
1388C2×C4C24×D5311yescharacteristic
1389C2×C4C24×D5312yes—
1390C22—22no—
1391C22—22no—
1392C22—24no—
1393C22—22no—
1394C22—22no—
1395C22—28no—
1396C22—44no—
1397C22—534no—
1398C22—1064no—
1399C22—1064no—
1400C22—1062no—
1401C22—1064no—
1402C22—1068no—
1403C22—2124no—
1404C22—2124no—
1405C22—21216no—
1406C22C2×#41×D5312yes—
1407C22C25×D5311yescharacteristic
1408C4—22no—
1409C4—24no—
1410C4—22no—
1411C4—22no—
1412C4—22no—
1413C4—28no—
1414C4—534no—
1415C4—1064no—
1416C4—1062no—
1417C4—1064no—
1418C4—1068no—
1419C4—1064no—
1420C4C2×#41×D5312yes—
1421C4C2×#41×D5312yes—
1422C4#1681145914yes—
1423C2—22no—
1424C2—42no—
1425C2—44no—
1426C2—1064no—
1427C2—2122no—
1428C2—2124no—
1429C2C22×#41×D5311yescharacteristic
1430C2C2×#1681145912yes—
subgroupG/H
centerC42C23×D53
commutator, socle, cosocleC22×C53C26
FrattiniC22C25×D53
FittingC53×#3444C2
hypercenter#3444D53
hypocenterC53#62686
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C42 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #20288146C2semidirect
2. #20288144C2semidirect
3. #20288140C2semidirect
4. #20288136C2semidirect
5. #20288133C2semidirect
6. #20288129C2semidirect
7. #20288125C2semidirect
8. #20288122C2semidirect
9. #20288118C2semidirect
10. #20288107C2semidirect
11. #20288104C2semidirect
12. #20288103C2semidirect
13. #20288098C2semidirect
14. #20288045C2semidirect
15. #20288042C2semidirect
16. #20288011C2semidirect
17. #20288008C2semidirect
18. #20288008C2semidirect
19. C2×C4×#11719945C2semidirect
20. C4×#41×D53C2semidirect
21. C53×#3444C2semidirect
24. #16811253C22semidirect
25. #16811252C22semidirect
26. #16811250C22semidirect
28. #16811247C22semidirect
29. #16811246C22semidirect
30. #16811243C22semidirect
31. #16811242C22semidirect
32. #16811241C22semidirect
33. #16811240C22semidirect
34. #16811239C22semidirect
35. #16811237C22semidirect
36. #16811236C22semidirect
37. #16811234C22semidirect
38. #16811233C22semidirect
39. #16811232C22semidirect
40. #16811230C22semidirect
41. #16811229C22semidirect
42. #16811227C22semidirect
43. #16811226C22semidirect
44. #16811225C22semidirect
45. #16811223C22semidirect
46. #16811222C22semidirect
47. #16811221C22semidirect
48. #16811219C22semidirect
49. #16811218C22semidirect
50. #16811217C22semidirect
51. #16811216C22semidirect
52. #16811214C22semidirect
53. #16811213C22semidirect
54. #16811212C22semidirect
55. #16811210C22semidirect
56. #16811209C22semidirect
57. #16811208C22semidirect
58. #16811207C22semidirect
59. #16811205C22semidirect
63. #16811198C22semidirect
64. #16811196C22semidirect
65. #16811195C22semidirect
66. #16811193C22semidirect
67. #16811191C22semidirect
68. #16811189C22semidirect
69. #16811188C22semidirect
70. #16811186C22semidirect
74. #16811180C22semidirect
75. #16811180C22semidirect
76. #16811177C22semidirect
77. #16811177C22semidirect
78. #16811177C22semidirect
79. #16811176C22semidirect
80. #16811176C22semidirect
82. #16811173C22semidirect
84. #16811170C22semidirect
85. #16811170C22semidirect
87. #16811169C22semidirect
88. #16811160C22semidirect
89. #16811160C22semidirect
90. #16811160C22semidirect
91. #16811157C22semidirect
92. #16811157C22semidirect
93. #16811157C22semidirect
94. #16811155C22semidirect
95. #16811155C22semidirect
96. #16811155C22semidirect
97. #16811153C22semidirect
98. #16811153C22semidirect
99. #16811153C22semidirect
100. #16811153C22semidirect
101. #16811153C22semidirect
102. #16811151C22semidirect
103. #16811151C22semidirect
104. #16811151C22semidirect
105. #16811151C22semidirect
106. #16811151C22semidirect
107. #16811135C22semidirect
108. #16811135C22semidirect
109. #16811134C22semidirect
110. #16811134C22semidirect
111. #16811132C22semidirect
112. #16811132C22semidirect
113. #16811132C22semidirect
114. #16811132C22semidirect
115. #16811132C22semidirect
116. #16811130C22semidirect
117. #16811130C22semidirect
118. #41×Dic53C22semidirect
119. C4×#11719949C22semidirect
120. C4×#11719945C22semidirect
121. C4×#11719945C22semidirect
122. C4×#11719945C22semidirect
123. C4×#11719945C22semidirect
124. C4×#11719945C22semidirect
125. C4×#11719945C22semidirect
126. C4×#11719945C22semidirect
127. C4×#11719945C22semidirect
128. #16811091C22semidirect
129. #16811091C22semidirect
130. C4×#11719947C22semidirect
131. C4×#11719947C22semidirect
132. C2×C4×Dic106C22semidirect
133. C4×Q8×D53C22semidirect
136. C2×C4×C22⋊D53C22semidirect
138. C4×D4×D53C22semidirect
139. C2×#13133176C22semidirect
141. C2×#13133174C22semidirect
143. #117×D53C22semidirect
145. C2×C42×D53C22semidirect
146. C2×C42×D53C22semidirect
147. C53×#533C22semidirect
148. C53×#533C22semidirect
150. C53×#532C22semidirect
151. C53×#529C22semidirect
152. C53×#529C22semidirect
153. C53×#529C22semidirect
154. C53×#525C22semidirect
155. C53×#525C22semidirect
156. C4×#41×C53C22semidirect
157. C4×#41×C53C22semidirect
158. C22×C42×C53C22semidirect
491. C2×C4×D53#41semidirect
726. #3444D53semidirect
796. #533C2×D53semidirect
797. #533C2×D53semidirect
806. #532C2×D53semidirect
826. #529C2×D53semidirect
827. #529C2×D53semidirect
828. #529C2×D53semidirect
840. #525C2×D53semidirect
841. #525C2×D53semidirect
856. C4×#41C2×D53semidirect
857. C4×#41C2×D53semidirect
873. C22×C42C2×D53semidirect
874. C53#62686semidirect

Maximal subgroups

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

subgroupindex
#202881462
#202881442
#202881402
#202881362
#202881332
#202881292
#202881252
#202881222
#202881182
#202881072
#202881042
#202881032
#202880982
#202880452
#202880422
#202880112
#202880082
C2×C4×#117199452
C4×#41×D532
C53×#34442
#6268653