Finite Group Databasebeta

← #28293079

Subgroups — #28293079

Order 13568.

6616 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289220C212yesmaximal, complemented
2#20289212C214yesmaximal, complemented
3#20289139C212yesmaximal, complemented
4#20289135C214yesmaximal, complemented
5#20288981C212yesmaximal, complemented
6#20288979C214yesmaximal, complemented
7#20288974C212yesmaximal, complemented
8#20288966C214yesmaximal, complemented
9#20288819C214yesmaximal, complemented
10#20288818C214yesmaximal, complemented
11#20288813C214yesmaximal, complemented
12#20288772C214yesmaximal, complemented
13#20288771C214yesmaximal, complemented
14#20288768C214yesmaximal, complemented
15#20288622C212yesmaximal, complemented
16#20288616C212yesmaximal, complemented
17#20288616C212yesmaximal, complemented
18#20288601C211yesmaximal, characteristic, complemented
19#20288594C212yesmaximal, complemented
20#20288589C212yesmaximal, complemented
21#20288010C212yesmaximal, complemented
22#20288008C211yesmaximal, characteristic, complemented
23C53×#3508C211yesmaximal, characteristic, complemented
24#16811376C2218yescomplemented
25#16811373C2214yescomplemented
26#16811366C2214yes—
27#16811362C2214yescomplemented
28#16811361C2218yescomplemented
29#16811360C2214yescomplemented
30#16811359C2214yescomplemented
31#16811359C2214yescomplemented
32#16811359C2214yescomplemented
33#16811357C2218yescomplemented
34#16811351C2214yescomplemented
35#16811350C2214yescomplemented
36#16811349C2214yescomplemented
37#16811344C2214yes—
38#16811343C2214yes—
39#16811343C2214yescomplemented
40#16811342C2214yescomplemented
41#16811342C2214yescomplemented
42#16811341C2214yes—
43#16811338C2214yescomplemented
44#16811337C2218yescomplemented
45#16811337C2214yescomplemented
46#16811337C2214yescomplemented
47#16811335C2214yescomplemented
48#16811332C2214yescomplemented
49#16811332C2214yescomplemented
50#16811330C2214yescomplemented
51#16811325C2218yescomplemented
52#16811325C2214yescomplemented
53#16811325C2214yescomplemented
54#16811323C2214yescomplemented
55#16811323C2214yescomplemented
56#16811322C2218yescomplemented
57#16811320C2214yescomplemented
58#16811320C2214yescomplemented
59#16811316C2218yescomplemented
60#16811314C2214yescomplemented
61#16811313C2218yescomplemented
62#16811313C2214yescomplemented
63#16811313C2214yescomplemented
64#16811312C2214yescomplemented
65#16811311C2214yescomplemented
66#16811310C2218yescomplemented
67#16811310C2218yescomplemented
68#16811307C2214yescomplemented
69#16811304C2214yes—
70#16811304C2214yescomplemented
71#16811299C2218yes—
72#16811299C2218yescomplemented
73#16811293C2214yes—
74#16811293C2214yes—
75#16811281C2214yescomplemented
76#16811281C2214yescomplemented
77#16811280C2214yescomplemented
78#16811280C2214yescomplemented
79#16811279C2214yescomplemented
80#16811279C2214yescomplemented
81#16811277C2214yescomplemented
82#16811272C2214yescomplemented
83#16811272C2214yescomplemented
84#16811267C2214yes—
85#16811267C2214yes—
86#16811267C2214yescomplemented
87#16811267C2214yescomplemented
88#16811242C2214yescomplemented
89#16811242C2214yescomplemented
90#16811241C2218yescomplemented
91#16811240C2214yescomplemented
92#16811240C2218yescomplemented
93#16811240C2214yescomplemented
94#16811238C2214yescomplemented
95#16811238C2214yescomplemented
96#16811237C2218yescomplemented
97#16811235C2212yescomplemented
98#16811235C2212yescomplemented
99#16811233C2214yescomplemented
100#16811231C2214yescomplemented
101#16811227C2214yes—
102#16811227C2214yescomplemented
103#16811227C2218yescomplemented
104#16811225C2218yescomplemented
105#16811223C2218yescomplemented
106#16811218C2218yescomplemented
107#16811217C2218yescomplemented
108#16811215C2218yescomplemented
109#16811211C2218yes—
110#16811208C2218yes—
111#16811208C2218yes—
112#16811202C2214yescomplemented
113#16811202C2214yescomplemented
114#16811201C2214yescomplemented
115#16811196C2214yes—
116#16811194C2212yes—
117#16811190C2214yes—
118#16811180C2212yescomplemented
119#16811180C2212yescomplemented
120#16811180C2211yescharacteristic, complemented
121#16811178C2212yescomplemented
122#16811178C2212yescomplemented
123#16811178C2212yescomplemented
124#16811177C2212yescomplemented
125#16811176C2211yescharacteristic, complemented
126#16811171C2212yes—
127#16811171C2212yes—
128#16811171C2212yescomplemented
129#16811171C2212yescomplemented
130#16811170C2212yes—
131#16811169C2211yescharacteristic
132C2×#13133217C2211yescharacteristic, complemented
133C4⋊Q8×D53C2212yescomplemented
134#16811160C2212yescomplemented
135#16811155C2212yes—
136#16811155C2214yescomplemented
137#16811155C2214yescomplemented
138#16811154C2214yescomplemented
139#16811154C2218yescomplemented
140#16811154C2214yescomplemented
141#16811153C2212yes—
142#16811153C2218yescomplemented
143#16811153C2212yescomplemented
144#16811152C2214yescomplemented
145#16811152C2214yescomplemented
146#16811151C2212yes—
147#16811151C2212yescomplemented
148#16811150C2218yescomplemented
149C2×#13133210C2218yescomplemented
150#16811135C2211yescharacteristic, complemented
151#16811133C2214yescomplemented
152#16811133C2214yescomplemented
153#16811132C2212yes—
154#16811132C2212yescomplemented
155#16811130C2211yescharacteristic
156#16811130C2214yescomplemented
157#16811106C2214yescomplemented
158#16811102C2214yescomplemented
159#16811102C2214yescomplemented
160#16811100C2212yescomplemented
161#16811099C2214yescomplemented
162#16811098C2214yescomplemented
163#41×Dic53C2214yescomplemented
164C4×#11719945C2212yes—
165C4×#11719945C2211yescharacteristic, complemented
166C4×#11719945C2212yescomplemented
167C4×#11719947C2214yescomplemented
168C4×#11719947C2214yescomplemented
169C2×C42×D53C2211yescharacteristic, complemented
170C53×#559C2214yescomplemented
171C53×#550C2214yes—
172C53×#546C2214yes—
173C53×#546C2214yescomplemented
174C53×#540C2212yes—
175C53×#540C2212yescomplemented
176C53×#535C2212yes—
177C53×#533C2211yescharacteristic, complemented
178C53×#532C2212yes—
179C53×#532C2212yescomplemented
180C2×#127×C53C2211yescharacteristic, complemented
181C53×#518C2212yescomplemented
182C4×#41×C53C2211yescharacteristic
183C2×#11719945C2312yes—
184C2×#11719945C2312yes—
185C2×#11719945C2311yescharacteristic
186C2×#11719947C2314yes—
187C2×#11719947C2314yes—
188C2×#11719947C2314yes—
189C2×#11719947C2314yes—
190C22×Dic106C2312yes—
191C2×Q8×D53C2314yes—
192C22×C4×D53C2311yescharacteristic
193C22×C4×D53C2312yes—
194#13133217C2312yes—
195#13133217C2314yes—
196#13133217C2312yes—
197#13133217C2312yes—
198#13133216C2314yes—
199#13133216C2314yes—
200#13133216C2318yes—
201#13133216C2312yes—
202#13133215C2314yes—
203#13133215C2314yes—
204#13133215C2311yescharacteristic
205#13133213C2318yes—
206#13133213C2311yescharacteristic
207#13133212C2318yes—
208#13133212C2312yes—
209#13133212C2312yes—
210#13133211C2318yes—
211#13133210C2318yes—
212#13133210C2318yes—
213#13133210C2318yes—
214#13133210C2318yes—
215#13133210C2318yes—
216#13133210C2318yes—
217#13133210C2318yes—
218#13133210C2318yes—
219#13133210C2318yes—
220#13133210C2318yes—
221#13133210C2318yes—
222#13133210C2312yes—
223#13133210C2318yes—
224#13133210C2312yes—
225#13133209C2318yes—
226#13133209C2314yes—
227#13133209C2314yes—
228#13133209C2312yes—
229#13133208C2314yes—
230#13133208C2312yes—
231#13133208C2318yes—
232#13133208C2314yes—
233#13133208C2314yes—
234#13133207C2318yes—
235#13133207C2312yes—
236#13133207C2318yes—
237#13133207C2318yes—
238#13133207C2312yes—
239#13133207C2318yes—
240#13133206C2311yescharacteristic
241#13133204C2314yes—
242#13133204C2314yes—
243#13133204C2314yes—
244#13133204C2314yes—
245#13133204C2318yes—
246#13133204C2318yes—
247#13133204C2314yes—
248#13133204C2311yescharacteristic
249#13133204C2318yes—
250#13133203C2318yes—
251#13133203C2318yes—
252#13133203C2318yes—
253#13133203C2318yes—
254#13133203C2318yes—
255#13133203C2312yes—
256#13133203C2312yes—
257#13133202C2318yes—
258#13133202C2312yes—
259#13133202C2312yes—
260#13133201C2318yes—
261#13133201C2318yes—
262#13133201C2312yes—
263#13133200C2318yes—
264#13133200C2318yes—
265#13133199C2312yes—
266#13133199C2318yes—
267#13133199C2312yes—
268#13133199C2318yes—
269#13133199C2318yes—
270#13133198C2318yes—
271#13133198C2318yes—
272#13133198C2318yes—
273#13133198C2318yes—
274#13133198C2318yes—
275#13133198C2318yes—
276#13133198C2311yescharacteristic
277#13133198C2314yes—
278#13133198C2314yes—
279#13133198C2311yescharacteristic
280#13133198C2318yes—
281#13133197C2314yes—
282#13133197C2314yes—
283#13133197C2314yes—
284#13133197C2312yes—
285#13133196C2314yes—
286#13133196C2314yes—
287#13133196C2314yes—
288#13133196C2314yes—
289#13133196C2318yes—
290#13133196C2318yes—
291#13133196C2318yes—
292#13133196C2314yes—
293#13133195C2312yes—
294#13133195C2312yes—
295#13133194C2318yes—
296#13133194C2318yes—
297#13133194C2318yes—
298#13133194C2318yes—
299#13133194C2318yes—
300#13133194C2318yes—
301#13133194C2312yes—
302#13133194C2312yes—
303#13133193C2314yes—
304#13133193C2314yes—
305#13133193C2312yes—
306#13133193C2314yes—
307#13133192C2312yes—
308#13133191C2318yes—
309#13133190C2318yes—
310#13133190C2318yes—
311#13133190C2312yes—
312#13133190C2312yes—
313#13133189C2318yes—
314#13133189C2318yes—
315#13133189C2318yes—
316#13133189C2318yes—
317#13133189C2318yes—
318#13133189C2318yes—
319#13133189C2318yes—
320#13133189C2318yes—
321#13133189C2312yes—
322#13133189C2312yes—
323#13133188C2314yes—
324#13133188C2314yes—
325#13133188C2314yes—
326#13133188C2314yes—
327#13133188C2314yes—
328#13133188C2314yes—
329#13133188C2318yes—
330#13133188C2318yes—
331#13133188C2312yes—
332#13133188C2314yes—
333#13133188C2314yes—
334#13133187C2312yes—
335#13133186C2318yes—
336#13133186C2318yes—
337#13133185C2311yescharacteristic
338#13133185C2318yes—
339#13133185C2311yescharacteristic
340Q8×Dic53C2314yes—
341Q8×Dic53C2314yes—
342Q8×Dic53C2314yes—
343C4×Dic106C2314yes—
344C4×Dic106C2314yes—
345C4×Dic106C2314yes—
346C4×Dic106C2314yes—
347C4×Dic106C2318yes—
348C4×Dic106C2312yes—
349C4×Dic106C2312yes—
350C4×Dic106C2312yes—
351C4×Dic106C2314yes—
352C4×Dic106C2312yes—
353C4×Dic106C2312yes—
354#13133182C2314yes—
355#13133182C2314yes—
356#13133182C2318yes—
357#13133182C2318yes—
358#13133182C2314yes—
359C4×D212C2312yes—
360C4×D212C2312yes—
361C4×D212C2312yes—
362C4×D212C2312yes—
363C4×D212C2312yes—
364D4×Dic53C2314yes—
365D4×Dic53C2314yes—
366D4×Dic53C2314yes—
367D4×Dic53C2314yes—
368D4×Dic53C2314yes—
369D4×Dic53C2314yes—
370D4×Dic53C2318yes—
371D4×Dic53C2318yes—
372D4×Dic53C2318yes—
373D4×Dic53C2318yes—
374D4×Dic53C2318yes—
375D4×Dic53C2314yes—
376D4×Dic53C2314yes—
377D4×Dic53C2318yes—
378C4×C22⋊D53C2312yes—
379C4×C22⋊D53C2312yes—
380C4×C22⋊D53C2312yes—
381C4×C22⋊D53C2312yes—
382C4×C22⋊D53C2312yes—
383C4×C22⋊D53C2312yes—
384C4×C22⋊D53C2312yes—
385C4×C22⋊D53C2312yes—
386C4×C22⋊D53C2312yes—
387C4×C22⋊D53C2312yes—
388C4×C22⋊D53C2318yes—
389C4×C22⋊D53C2318yes—
390C4×C22⋊D53C2318yes—
391C4×C22⋊D53C2318yes—
392#13133177C2318yes—
393#13133177C2318yes—
394#13133177C2318yes—
395#13133177C2318yes—
396#13133176C2318yes—
397#13133176C2318yes—
398#13133176C2314yes—
399#13133176C2314yes—
400#13133176C2312yes—
401#13133176C2312yes—
402#13133176C2312yes—
403#13133176C2311yescharacteristic
404#13133175C2318yes—
405#13133175C2314yes—
406#13133175C2314yes—
407#13133175C2314yes—
408#13133174C2318yes—
409#13133174C2312yes—
410#13133174C2312yes—
411#13133174C2312yes—
412#13133174C2312yes—
413#13133174C2312yes—
414#13133173C2318yes—
415#13133173C2318yes—
416#13133173C2318yes—
417#13133173C2318yes—
418#13133173C2318yes—
419C2×C4⋊Dic53C2318yes—
420C2×C4⋊Dic53C2314yes—
421C2×#11719919C2318yes—
422C2×#11719919C2318yes—
423C4⋊C4×D53C2314yes—
424C4⋊C4×D53C2314yes—
425C2×C22⋊Dic53C2318yes—
426C2×C22⋊Dic53C2318yes—
427C2×C4×Dic53C2312yes—
428C2×C4×Dic53C2311yescharacteristic
429C2×C4×Dic53C2318yes—
430C42×D53C2312yes—
431C42×D53C2312yes—
432C42×D53C2312yes—
433C42×D53C2312yes—
434C42×D53C2312yes—
435C2×#41×C53C2314yes—
436C2×#41×C53C2314yes—
437C2×#41×C53C2311yescharacteristic
438C22×D4×C53C2312yes—
439C22×D4×C53C2314yes—
440C4⋊Q8×C53C2312yes—
441#127×C53C2312yes—
442#127×C53C2314yes—
443#127×C53C2312yes—
444#127×C53C2314yes—
445#125×C53C2312yes—
446#124×C53C2314yes—
447#124×C53C2314yes—
448#124×C53C2314yes—
449#123×C53C2318yes—
450#123×C53C2318yes—
451C22⋊Q8×C53C2314yes—
452#121×C53C2314yes—
453#121×C53C2314yes—
454#121×C53C2314yes—
455#121×C53C2314yes—
456#121×C53C2318yes—
457#121×C53C2318yes—
458#120×C53C2314yes—
459#120×C53C2314yes—
460C4×Q8×C53C2312yes—
461C4×Q8×C53C2314yes—
462C4×D4×C53C2314yes—
463C4×D4×C53C2312yes—
464C4×D4×C53C2312yes—
465C4×D4×C53C2312yes—
466C4×D4×C53C2314yes—
467C4×D4×C53C2318yes—
468C4×D4×C53C2314yes—
469C4×D4×C53C2314yes—
470#117×C53C2311yescharacteristic
471#117×C53C2311yescharacteristic
472#117×C53C2311yescharacteristic
473#117×C53C2312yes—
474C2×C22⋊C4×C53C2318yes—
475C2×C42×C53C2311yescharacteristic
476C2×C42×C53C2311yescharacteristic
477C2×C42×C53C2311yescharacteristic
478C24×C53C2414yes—
479C23×D53C2411yescharacteristic
480#41×C53—42no—
481#41×C53—48no—
482#41×C53—48no—
483C2×Q8×C53C2414yes—
484C2×Q8×C53C2411yescharacteristic
485C2×D4×C53—48no—
486C2×D4×C53—44no—
487C2×D4×C53C2414yes—
488C2×D4×C53C2414yes—
489C2×D4×C53C2414yes—
490C2×D4×C53C2411yescharacteristic
491C2×D4×C53C2411yescharacteristic
492C2×D4×C53C2414yes—
493C2×D4×C53C2411yescharacteristic
494C2×D4×C53C2418yes—
495C2×D4×C53C2418yes—
496C2×D4×C53C2418yes—
497C22×C4×C53C2411yescharacteristic
498C22×C4×C53C2411yescharacteristic
499C22×C4×C53C2411yescharacteristic
500C22×C4×C53C2412yes—
501C22×C4×C53C2412yes—
502C22×C4×C53C2412yes—
503C22×C4×C53C2418yes—
504C22×C4×C53C2418yes—
505C2×C22⋊D53C2418yes—
506C2×C22⋊D53C2418yes—
507C2×C22⋊D53C2418yes—
508C2×C22⋊D53C2418yes—
509C2×C22⋊D53C2412yes—
510C2×C22⋊D53C2412yes—
511C2×C22⋊D53C2412yes—
512C2×C22⋊D53C2412yes—
513C2×C22⋊D53C2412yes—
514C22×Dic53C2411yescharacteristic
515C22×Dic53C2412yes—
516C22×Dic53C2418yes—
517C22×Dic53C2418yes—
518C22×Dic53C2418yes—
519C22×Dic53C2418yes—
520C22×Dic53C2414yes—
521Q8×D53—48no—
522#11719947—48no—
523#11719947—48no—
524#11719947—48no—
525#11719947—48no—
526#11719945—44no—
527#11719945—44no—
528#11719945—42no—
529C2×D212C2412yes—
530C2×D212C2412yes—
531C2×D212C2411yescharacteristic
532C2×C4×D53—44no—
533C2×C4×D53—42no—
534C2×C4×D53C2412yes—
535C2×C4×D53C2412yes—
536C2×C4×D53C2412yes—
537C2×C4×D53C2412yes—
538C2×C4×D53C2412yes—
539C2×C4×D53C2412yes—
540C2×C4×D53C2412yes—
541C2×C4×D53C2412yes—
542C2×C4×D53C2412yes—
543C2×C4×D53C2418yes—
544C2×Dic106—44no—
545C2×Dic106C2414yes—
546C2×Dic106C2414yes—
547C2×Dic106C2414yes—
548C2×Dic106C2418yes—
549C2×Dic106C2411yescharacteristic
550C2×Dic106C2412yes—
551C2×Dic106C2412yes—
552C4⋊C4×C53C2412yes—
553C4⋊C4×C53C2414yes—
554C4⋊C4×C53C2412yes—
555C4⋊C4×C53C2412yes—
556C4⋊C4×C53C2414yes—
557C4⋊C4×C53C2418yes—
558C22⋊C4×C53C2412yes—
559C22⋊C4×C53C2414yes—
560C22⋊C4×C53C2418yes—
561C22⋊C4×C53C2418yes—
562C22⋊C4×C53C2412yes—
563C22⋊C4×C53C2412yes—
564C22⋊C4×C53C2418yes—
565C22⋊C4×C53C2418yes—
566C42×C53C2411yescharacteristic
567C42×C53C2411yescharacteristic
568C42×C53C2411yescharacteristic
569C42×C53C2411yescharacteristic
570C42×C53C2412yes—
571C42×C53C2412yes—
572C42×C53C2412yes—
573C42×C53C2414yes—
574C22⋊Dic53C2412yes—
575C22⋊Dic53C2412yes—
576C22⋊Dic53C2418yes—
577C22⋊Dic53C2418yes—
578C22⋊Dic53C2418yes—
579C22⋊Dic53C2418yes—
580C22⋊Dic53C2418yes—
581C22⋊Dic53C2414yes—
582C22⋊Dic53C2418yes—
583C22⋊Dic53C2418yes—
584C22⋊Dic53C2412yes—
585C22⋊Dic53C2412yes—
586C22⋊Dic53C2411yescharacteristic
587C22⋊Dic53C2411yescharacteristic
588C22⋊Dic53C2418yes—
589C22⋊Dic53C2418yes—
590C22⋊Dic53C2418yes—
591#11719921C2412yes—
592#11719921C2412yes—
593#11719921C2418yes—
594#11719921C2412yes—
595#11719921C2412yes—
596#11719921C2412yes—
597#11719921C2412yes—
598#11719921C2412yes—
599#11719921C2412yes—
600#11719921C2412yes—
601#11719921C2412yes—
602#11719921C2418yes—
603#11719921C2418yes—
604C4⋊Dic53C2414yes—
605C4⋊Dic53C2414yes—
606C4⋊Dic53C2412yes—
607C4⋊Dic53C2418yes—
608C4⋊Dic53C2414yes—
609C4⋊Dic53C2414yes—
610C4⋊Dic53C2418yes—
611C4⋊Dic53C2418yes—
612C4⋊Dic53C2412yes—
613C4⋊Dic53C2412yes—
614C4⋊Dic53C2412yes—
615C4⋊Dic53C2418yes—
616C4⋊Dic53C2412yes—
617#11719919C2418yes—
618#11719919C2418yes—
619#11719919C2412yes—
620#11719919C2412yes—
621#11719919C2418yes—
622#11719919C2418yes—
623#11719919C2418yes—
624#11719919C2418yes—
625#11719919C2412yes—
626#11719919C2412yes—
627#11719919C2418yes—
628#11719919C2418yes—
629#11719919C2418yes—
630#11719919C2412yes—
631#11719919C2412yes—
632#11719919C2412yes—
633#11719919C2412yes—
634#11719919C2412yes—
635#11719919C2412yes—
636#11719919C2418yes—
637C4×Dic53C2412yes—
638C4×Dic53C2411yescharacteristic
639C4×Dic53C2412yes—
640C4×Dic53C2412yes—
641C4×Dic53C2412yes—
642C4×Dic53C2412yes—
643C4×Dic53C2411yescharacteristic
644C4×Dic53C2412yes—
645C4×Dic53C2412yes—
646C4×Dic53C2412yes—
647C4×Dic53C2418yes—
648C4×Dic53C2418yes—
649C4×Dic53C2418yes—
650C4×Dic53C2414yes—
651C4×Dic53C2418yes—
652C4×Dic53C2418yes—
653C23×C53—44no—
654C23×C53—48no—
655C23×C53C2511yescharacteristic
656C23×C53C2518yes—
657C23×C53C2511yescharacteristic
658C23×C53C2511yescharacteristic
659C22×D53—42no—
660C22×D53—41no—
661C22×D53C2512yes—
662C22×D53C2512yes—
663Q8×C53—28no—
664Q8×C53—41no—
665D4×C53—28no—
666D4×C53—28no—
667D4×C53—28no—
668D4×C53—48no—
669D4×C53—44no—
670D4×C53—41no—
671D4×C53—41no—
672D4×C53—48no—
673D4×C53—48no—
674D4×C53—41no—
675C2×C4×C53—22no—
676C2×C4×C53—22no—
677C2×C4×C53—24no—
678C2×C4×C53—24no—
679C2×C4×C53—24no—
680C2×C4×C53—22no—
681C2×C4×C53—48no—
682C2×C4×C53—48no—
683C2×C4×C53C2511yescharacteristic
684C2×C4×C53C2511yescharacteristic
685C2×C4×C53C2518yes—
686C2×C4×C53C2512yes—
687C2×C4×C53C2512yes—
688C2×C4×C53C2512yes—
689C2×C4×C53C2511yescharacteristic
690C2×C4×C53C2511yescharacteristic
691C2×C4×C53C2512yes—
692C22⋊D53—42no—
693C22⋊D53—42no—
694C22⋊D53—42no—
695C22⋊D53—42no—
696C22⋊D53—42no—
697C22⋊D53—48no—
698C22⋊D53—48no—
699C22⋊D53—48no—
700C22⋊D53—48no—
701C2×Dic53—44no—
702C2×Dic53—42no—
703C2×Dic53—41no—
704C2×Dic53—48no—
705C2×Dic53—48no—
706C2×Dic53—48no—
707C2×Dic53—48no—
708C2×Dic53C2512yes—
709C2×Dic53C2512yes—
710C2×Dic53C2518yes—
711C2×Dic53C2518yes—
712C2×Dic53C2512yes—
713C2×Dic53C2512yes—
714C2×Dic53C2512yes—
715C2×Dic53C2512yes—
716D212—41no—
717D212—42no—
718D212—42no—
719C4×D53—24no—
720C4×D53—24no—
721C4×D53—24no—
722C4×D53—24no—
723C4×D53—24no—
724C4×D53—24no—
725C4×D53—42no—
726C4×D53—42no—
727C4×D53—42no—
728C4×D53—48no—
729Dic106—28no—
730Dic106—28no—
731Dic106—44no—
732Dic106—42no—
733Dic106—42no—
734Dic106—41no—
735Dic106—48no—
736#62839—531nomaximal, Sylow
737C22×C53—21no—
738C22×C53—28no—
739C22×C53—21no—
740C22×C53—28no—
741C22×C53—28no—
742C22×C53—22no—
743C22×C53—22no—
744C22×C53—22no—
745C22×C53—21no—
746C22×C53—164no—
747C22×C53C2611yescharacteristic
748C2×D53—22no—
749C2×D53—22no—
750C2×D53—22no—
751C2×D53—22no—
752C2×D53—22no—
753C2×D53—22no—
754C2×D53—44no—
755C4×C53—21no—
756C4×C53—21no—
757C4×C53—28no—
758C4×C53—22no—
759C4×C53—22no—
760C4×C53—22no—
761C4×C53—21no—
762C4×C53#58514yes—
763C4×C53#58512yes—
764Dic53—28no—
765Dic53—28no—
766Dic53—22no—
767Dic53—22no—
768Dic53—22no—
769Dic53—22no—
770Dic53—22no—
771Dic53—22no—
772#3557—534no—
773#3557—532no—
774#3551—534no—
775#3551—532no—
776#3540—534no—
777#3540—532no—
778#3539—534no—
779#3539—532no—
780#3524—534no—
781#3524—534no—
782#3524—534no—
783#3521—534no—
784#3521—534no—
785#3521—534no—
786#3511—532no—
787#3511—532no—
788#3511—532no—
789#3509—532no—
790#3509—531no—
791#3508—532no—
792#3508D5311yescharacteristic, complemented
793#3444—532no—
794#3444—531no—
795C2×C53—41no—
796C2×C53—41no—
797C2×C53—48no—
798C2×C53—41no—
799C2×C53C2×#58512yes—
800C2×C53C2×#58511yescharacteristic
801D53—42no—
802D53—42no—
803#563—534no—
804#563—538no—
805H(3,𝔽4)—534no—
806#560—534no—
807#560—538no—
808#560—534no—
809#559—534no—
810#559—534no—
811#559—534no—
812#559—538no—
813#559C2×D5314yescomplemented
814#557—534no—
815#557—534no—
816#557—534no—
817#556—534no—
818#556—534no—
819#556—534no—
820#556—534no—
821#556—534no—
822#556—534no—
823#555—534no—
824#555—534no—
825#555—534no—
826#555—538no—
827#555—534no—
828#554—534no—
829#554—534no—
830#554—534no—
831#553—538no—
832#553—534no—
833#553—534no—
834#553—534no—
835#553—534no—
836#553—538no—
837#553—538no—
838#553—534no—
839#553—534no—
840#552—534no—
841#552—538no—
842#552—538no—
843#552—534no—
844#552—534no—
845#552—534no—
846#552—534no—
847#552—538no—
848#552—534no—
849#551—534no—
850#551—534no—
851#551—538no—
852#551—538no—
853#550—534no—
854#550—534no—
855#550C2×D5314yes—
856#548—534no—
857#548—534no—
858#548—534no—
859#548—534no—
860#548—534no—
861#548—534no—
862#547—534no—
863#547—534no—
864#547—534no—
865#546—534no—
866#546—534no—
867#546—534no—
868#546—534no—
869#546C2×D5314yes—
870#546C2×D5314yescomplemented
871#542—534no—
872#542—534no—
873#542—538no—
874#542—538no—
875#542—534no—
876#542—534no—
877#542—538no—
878#542—534no—
879#542—534no—
880#541—534no—
881#541—534no—
882#541—532no—
883#541—532no—
884#540—534no—
885#540—534no—
886#540—538no—
887#540—538no—
888#540—538no—
889#540C2×D5312yes—
890#540C2×D5312yescomplemented
891#539—538no—
892#539—538no—
893#539—538no—
894#538—538no—
895#538—538no—
896#538—538no—
897#537—534no—
898#537—534no—
899#537—534no—
900#536—532no—
901#536—534no—
902#535—534no—
903#535C2×D5312yes—
904#533—532no—
905#533—532no—
906#533—532no—
907#533—532no—
908#533—531no—
909#533—532no—
910#533—532no—
911#533—531no—
912#533C2×D5311yescharacteristic, complemented
913#532—531no—
914#532—532no—
915#532—532no—
916#532—532no—
917#532—532no—
918#532—532no—
919#532C2×D5312yes—
920#532C2×D5312yescomplemented
921C2×C4⋊Q8—532no—
922C2×C4⋊Q8—531no—
923C2×#127C2×D5311yescharacteristic, complemented
924#529—534no—
925#529—534no—
926#529—538no—
927#529—534no—
928#529—534no—
929#529—538no—
930#529—532no—
931#529—532no—
932#529—532no—
933#529—532no—
934#529—534no—
935#529—534no—
936#529—538no—
937#529—532no—
938#529—532no—
939C2×#126—538no—
940#525—531no—
941#525—534no—
942#525—534no—
943#525—534no—
944#525—532no—
945#525—532no—
946#525—531no—
947#520—534no—
948#520—534no—
949#520—534no—
950#519—534no—
951#519—532no—
952#518—534no—
953#518C2×D5312yescomplemented
954C4×#41—534no—
955C4×#41—534no—
956C4×#41—534no—
957C4×#41—532no—
958C4×#41—531no—
959C4×#41—532no—
960C4×#41C2×D5311yescharacteristic
961C22×C42—531no—
962C53#6283911yescharacteristic, complemented, Sylow
963C2×#41—534no—
964C2×#41—534no—
965C2×#41—534no—
966C2×#41—534no—
967C2×#41—532no—
968C2×#41—532no—
969C2×#41—531no—
970C2×#41C22×D5314yes—
971C2×#41C22×D5311yescharacteristic
972C2×#41C22×D5314yes—
973C22×Q8—534no—
974C22×Q8—532no—
975C22×D4C22×D5314yes—
976C22×D4C22×D5312yes—
977C23×C4—531no—
978C23×C4—532no—
979C4⋊Q8—534no—
980C4⋊Q8—531no—
981C4⋊Q8—534no—
982C4⋊Q8—534no—
983C4⋊Q8—534no—
984C4⋊Q8—532no—
985C4⋊Q8—538no—
986C4⋊Q8—532no—
987C4⋊Q8—532no—
988C4⋊Q8—532no—
989C4⋊Q8—534no—
990C4⋊Q8C22×D5312yes—
991#127—531no—
992#127—538no—
993#127C22×D5312yes—
994#127C22×D5314yes—
995#127C22×D5312yes—
996#127C22×D5314yes—
997#126—532no—
998#126—532no—
999#126—538no—
1000#126—532no—
1001#126—538no—
1002#126—538no—
1003#126—538no—
1004#126—538no—
1005#126—538no—
1006#126—538no—
1007#126—538no—
1008#126—532no—
1009#126—538no—
1010#126—538no—
1011#126—538no—
1012#126—538no—
1013#126—538no—
1014#126—538no—
1015#125—532no—
1016#125—532no—
1017#125—532no—
1018#125—534no—
1019#125—534no—
1020#125—538no—
1021#125—538no—
1022#125—538no—
1023#125—534no—
1024#125—538no—
1025#125—538no—
1026#125—534no—
1027#125—534no—
1028#125—532no—
1029#125—538no—
1030#125C22×D5312yes—
1031#124—531no—
1032#124—534no—
1033#124—534no—
1034#124—531no—
1035#124—538no—
1036#124—534no—
1037#124—534no—
1038#124—538no—
1039#124—534no—
1040#124—538no—
1041#124—532no—
1042#124—532no—
1043#124—538no—
1044#124—538no—
1045#124—538no—
1046#124—538no—
1047#124—538no—
1048#124C22×D5314yes—
1049#124C22×D5314yes—
1050#124C22×D5314yes—
1051#123—538no—
1052#123—531no—
1053#123—531no—
1054#123—538no—
1055#123—538no—
1056#123—538no—
1057#123—534no—
1058#123—534no—
1059#123—538no—
1060#123—538no—
1061#123—538no—
1062#123—538no—
1063#123—538no—
1064#123—532no—
1065#123—532no—
1066#123—538no—
1067#123—538no—
1068#123—538no—
1069#123—532no—
1070#123—532no—
1071#123—532no—
1072#123—538no—
1073#123—538no—
1074#123—538no—
1075#123C22×D5318yes—
1076#123C22×D5318yes—
1077C22⋊Q8—534no—
1078C22⋊Q8—532no—
1079C22⋊Q8—534no—
1080C22⋊Q8—534no—
1081C22⋊Q8—534no—
1082C22⋊Q8—534no—
1083C22⋊Q8—538no—
1084C22⋊Q8—534no—
1085C22⋊Q8—534no—
1086C22⋊Q8—534no—
1087C22⋊Q8—538no—
1088C22⋊Q8—538no—
1089C22⋊Q8—534no—
1090C22⋊Q8—532no—
1091C22⋊Q8—532no—
1092C22⋊Q8—532no—
1093C22⋊Q8—534no—
1094C22⋊Q8—534no—
1095C22⋊Q8—532no—
1096C22⋊Q8—532no—
1097C22⋊Q8—538no—
1098C22⋊Q8—538no—
1099C22⋊Q8—538no—
1100C22⋊Q8—538no—
1101C22⋊Q8—538no—
1102C22⋊Q8—538no—
1103C22⋊Q8C22×D5314yes—
1104#121—534no—
1105#121—534no—
1106#121—532no—
1107#121—532no—
1108#121—532no—
1109#121—534no—
1110#121—534no—
1111#121—538no—
1112#121—538no—
1113#121—534no—
1114#121—534no—
1115#121—534no—
1116#121—534no—
1117#121—538no—
1118#121—538no—
1119#121—538no—
1120#121—538no—
1121#121—538no—
1122#121—538no—
1123#121—538no—
1124#121—538no—
1125#121—538no—
1126#121—532no—
1127#121—532no—
1128#121—532no—
1129#121—538no—
1130#121—538no—
1131#121C22×D5314yes—
1132#121C22×D5314yes—
1133#121C22×D5318yes—
1134#121C22×D5314yes—
1135#121C22×D5314yes—
1136#121C22×D5318yes—
1137#120—538no—
1138#120—538no—
1139#120—531no—
1140#120—538no—
1141#120—531no—
1142#120—532no—
1143#120C22×D5314yes—
1144#120C22×D5314yes—
1145C4×Q8—534no—
1146C4×Q8—534no—
1147C4×Q8—534no—
1148C4×Q8—534no—
1149C4×Q8—534no—
1150C4×Q8—538no—
1151C4×Q8—538no—
1152C4×Q8—534no—
1153C4×Q8—534no—
1154C4×Q8—534no—
1155C4×Q8—532no—
1156C4×Q8—532no—
1157C4×Q8—532no—
1158C4×Q8—532no—
1159C4×Q8—532no—
1160C4×Q8—538no—
1161C4×Q8—534no—
1162C4×Q8—534no—
1163C4×Q8—534no—
1164C4×Q8C22×D5312yes—
1165C4×Q8C22×D5314yes—
1166C4×D4—534no—
1167C4×D4—534no—
1168C4×D4—538no—
1169C4×D4—538no—
1170C4×D4—534no—
1171C4×D4—534no—
1172C4×D4—538no—
1173C4×D4—538no—
1174C4×D4—534no—
1175C4×D4—534no—
1176C4×D4—538no—
1177C4×D4—538no—
1178C4×D4—534no—
1179C4×D4—534no—
1180C4×D4—538no—
1181C4×D4—532no—
1182C4×D4—532no—
1183C4×D4—532no—
1184C4×D4—532no—
1185C4×D4—532no—
1186C4×D4—532no—
1187C4×D4—538no—
1188C4×D4—532no—
1189C4×D4—532no—
1190C4×D4—532no—
1191C4×D4—532no—
1192C4×D4—538no—
1193C4×D4—538no—
1194C4×D4—538no—
1195C4×D4—538no—
1196C4×D4—538no—
1197C4×D4—538no—
1198C4×D4—532no—
1199C4×D4—532no—
1200C4×D4—532no—
1201C4×D4—532no—
1202C4×D4—532no—
1203C4×D4C22×D5314yes—
1204C4×D4C22×D5314yes—
1205C4×D4C22×D5312yes—
1206C4×D4C22×D5312yes—
1207C4×D4C22×D5312yes—
1208C4×D4C22×D5318yes—
1209C4×D4C22×D5314yes—
1210C4×D4C22×D5314yes—
1211#117—532no—
1212#117—532no—
1213#117—531no—
1214#117—534no—
1215#117—538no—
1216#117—534no—
1217#117—532no—
1218#117—538no—
1219#117—534no—
1220#117—534no—
1221#117—538no—
1222#117—534no—
1223#117—538no—
1224#117—538no—
1225#117—538no—
1226#117—538no—
1227#117—538no—
1228#117—532no—
1229#117—532no—
1230#117—532no—
1231#117—532no—
1232#117—532no—
1233#117—538no—
1234#117C22×D5311yescharacteristic
1235#117C22×D5311yescharacteristic
1236#117C22×D5311yescharacteristic
1237#117C22×D5312yes—
1238C2×C4⋊C4—538no—
1239C2×C4⋊C4—538no—
1240C2×C4⋊C4—538no—
1241C2×C4⋊C4—534no—
1242C2×C4⋊C4—534no—
1243C2×C4⋊C4—534no—
1244C2×C22⋊C4—538no—
1245C2×C22⋊C4—538no—
1246C2×C22⋊C4C22×D5318yes—
1247C2×C42—538no—
1248C2×C42—532no—
1249C2×C42—531no—
1250C2×C42—532no—
1251C2×C42—532no—
1252C2×C42—532no—
1253C2×C42—532no—
1254C2×C42—532no—
1255C2×C42C22×D5311yescharacteristic
1256C2×C42C22×D5311yescharacteristic
1257C2×C42C22×D5311yescharacteristic
1258C24—531no—
1259C24C23×D5314yes—
1260#41—42no—
1261#41—48no—
1262#41—48no—
1263#41—2124no—
1264#41—2124no—
1265#41—2122no—
1266#41—2128no—
1267#41—2128no—
1268#41—2128no—
1269#41—2128no—
1270C2×Q8—534no—
1271C2×Q8—534no—
1272C2×Q8—532no—
1273C2×Q8—531no—
1274C2×Q8—538no—
1275C2×Q8—534no—
1276C2×Q8—532no—
1277C2×Q8—2124no—
1278C2×Q8—2128no—
1279C2×Q8C23×D5314yes—
1280C2×Q8C23×D5311yescharacteristic
1281C2×D4—48no—
1282C2×D4—44no—
1283C2×D4—532no—
1284C2×D4—532no—
1285C2×D4—538no—
1286C2×D4—538no—
1287C2×D4—532no—
1288C2×D4—532no—
1289C2×D4—538no—
1290C2×D4—538no—
1291C2×D4—532no—
1292C2×D4—532no—
1293C2×D4—532no—
1294C2×D4—531no—
1295C2×D4C23×D5314yes—
1296C2×D4C23×D5314yes—
1297C2×D4C23×D5314yes—
1298C2×D4C23×D5318yes—
1299C2×D4C23×D5318yes—
1300C2×D4C23×D5318yes—
1301C2×D4C23×D5311yescharacteristic
1302C2×D4C23×D5311yescharacteristic
1303C2×D4C23×D5311yescharacteristic
1304C2×D4C23×D5314yes—
1305C22×C4—531no—
1306C22×C4—532no—
1307C22×C4—538no—
1308C22×C4—538no—
1309C22×C4—538no—
1310C22×C4—538no—
1311C22×C4—534no—
1312C22×C4—532no—
1313C22×C4—532no—
1314C22×C4—532no—
1315C22×C4—532no—
1316C22×C4—532no—
1317C22×C4—532no—
1318C22×C4—532no—
1319C22×C4—532no—
1320C22×C4—532no—
1321C22×C4—538no—
1322C22×C4—2124no—
1323C22×C4—2122no—
1324C22×C4C23×D5312yes—
1325C22×C4C23×D5311yescharacteristic
1326C22×C4C23×D5312yes—
1327C22×C4C23×D5312yes—
1328C22×C4C23×D5311yescharacteristic
1329C22×C4C23×D5311yescharacteristic
1330C22×C4C23×D5318yes—
1331C22×C4C23×D5318yes—
1332C4⋊C4—532no—
1333C4⋊C4—532no—
1334C4⋊C4—532no—
1335C4⋊C4—538no—
1336C4⋊C4—538no—
1337C4⋊C4—538no—
1338C4⋊C4—534no—
1339C4⋊C4—534no—
1340C4⋊C4—534no—
1341C4⋊C4—534no—
1342C4⋊C4—538no—
1343C4⋊C4—538no—
1344C4⋊C4—538no—
1345C4⋊C4—538no—
1346C4⋊C4—538no—
1347C4⋊C4—538no—
1348C4⋊C4—532no—
1349C4⋊C4—532no—
1350C4⋊C4—532no—
1351C4⋊C4—532no—
1352C4⋊C4—532no—
1353C4⋊C4—532no—
1354C4⋊C4—532no—
1355C4⋊C4—532no—
1356C4⋊C4—532no—
1357C4⋊C4—532no—
1358C4⋊C4—538no—
1359C4⋊C4—538no—
1360C4⋊C4—538no—
1361C4⋊C4—532no—
1362C4⋊C4—532no—
1363C4⋊C4—538no—
1364C4⋊C4—538no—
1365C4⋊C4C23×D5314yes—
1366C4⋊C4C23×D5314yes—
1367C4⋊C4C23×D5318yes—
1368C4⋊C4C23×D5312yes—
1369C4⋊C4C23×D5312yes—
1370C4⋊C4C23×D5312yes—
1371C22⋊C4—532no—
1372C22⋊C4—532no—
1373C22⋊C4—538no—
1374C22⋊C4—538no—
1375C22⋊C4—538no—
1376C22⋊C4—538no—
1377C22⋊C4—538no—
1378C22⋊C4—534no—
1379C22⋊C4—532no—
1380C22⋊C4—532no—
1381C22⋊C4—538no—
1382C22⋊C4—538no—
1383C22⋊C4—538no—
1384C22⋊C4—538no—
1385C22⋊C4—538no—
1386C22⋊C4—531no—
1387C22⋊C4—531no—
1388C22⋊C4—532no—
1389C22⋊C4—532no—
1390C22⋊C4—538no—
1391C22⋊C4—532no—
1392C22⋊C4—532no—
1393C22⋊C4—532no—
1394C22⋊C4—532no—
1395C22⋊C4—532no—
1396C22⋊C4—532no—
1397C22⋊C4—538no—
1398C22⋊C4—538no—
1399C22⋊C4—532no—
1400C22⋊C4—532no—
1401C22⋊C4C23×D5312yes—
1402C22⋊C4C23×D5314yes—
1403C22⋊C4C23×D5318yes—
1404C22⋊C4C23×D5318yes—
1405C22⋊C4C23×D5312yes—
1406C22⋊C4C23×D5318yes—
1407C22⋊C4C23×D5318yes—
1408C22⋊C4C23×D5312yes—
1409C42—532no—
1410C42—531no—
1411C42—532no—
1412C42—532no—
1413C42—532no—
1414C42—532no—
1415C42—531no—
1416C42—538no—
1417C42—538no—
1418C42—538no—
1419C42—532no—
1420C42—532no—
1421C42—532no—
1422C42—538no—
1423C42—534no—
1424C42—538no—
1425C42C23×D5311yescharacteristic
1426C42C23×D5311yescharacteristic
1427C42C23×D5312yes—
1428C42C23×D5312yes—
1429C42C23×D5312yes—
1430C42C23×D5311yescharacteristic
1431C42C23×D5311yescharacteristic
1432C42C23×D5314yes—
1433C23—48no—
1434C23—44no—
1435C23—532no—
1436C23—532no—
1437C23—2122no—
1438C23—2121no—
1439C23C24×D5311yescharacteristic
1440C23C24×D5311yescharacteristic
1441C23C24×D5318yes—
1442C23C24×D5311yescharacteristic
1443Q8—28no—
1444Q8—41no—
1445Q8—1068no—
1446Q8—1068no—
1447Q8—2128no—
1448Q8—2124no—
1449Q8—2122no—
1450Q8—2122no—
1451Q8—2121no—
1452D4—28no—
1453D4—28no—
1454D4—28no—
1455D4—48no—
1456D4—44no—
1457D4—48no—
1458D4—48no—
1459D4—41no—
1460D4—41no—
1461D4—41no—
1462D4—2122no—
1463D4—2122no—
1464D4—2121no—
1465D4—2122no—
1466D4—2122no—
1467D4—2122no—
1468D4—2122no—
1469D4—2128no—
1470D4—2128no—
1471D4—2122no—
1472D4—2128no—
1473D4—2128no—
1474C2×C4—24no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—48no—
1481C2×C4—48no—
1482C2×C4—532no—
1483C2×C4—532no—
1484C2×C4—532no—
1485C2×C4—532no—
1486C2×C4—538no—
1487C2×C4—538no—
1488C2×C4—532no—
1489C2×C4—532no—
1490C2×C4—1064no—
1491C2×C4—1064no—
1492C2×C4—1064no—
1493C2×C4—1064no—
1494C2×C4—1064no—
1495C2×C4—1064no—
1496C2×C4—2122no—
1497C2×C4—2122no—
1498C2×C4—2122no—
1499C2×C4—2128no—
1500C2×C4—2122no—
1501C2×C4—2121no—
1502C2×C4—2124no—
1503C2×C4—2128no—
1504C2×C4—2128no—
1505C2×C4—2128no—
1506C2×C4—2128no—
1507C2×C4C24×D5312yes—
1508C2×C4C24×D5311yescharacteristic
1509C2×C4C24×D5312yes—
1510C2×C4C24×D5318yes—
1511C2×C4C24×D5311yescharacteristic
1512C2×C4C24×D5311yescharacteristic
1513C2×C4C24×D5312yes—
1514C2×C4C24×D5312yes—
1515C2×C4C24×D5311yescharacteristic
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—28no—
1520C22—28no—
1521C22—21no—
1522C22—21no—
1523C22—21no—
1524C22—28no—
1525C22—164no—
1526C22—1062no—
1527C22—1062no—
1528C22—1062no—
1529C22—1062no—
1530C22—1062no—
1531C22—1062no—
1532C22—2124no—
1533C22C25×D5311yescharacteristic
1534C4—22no—
1535C4—22no—
1536C4—22no—
1537C4—28no—
1538C4—21no—
1539C4—21no—
1540C4—21no—
1541C4—1062no—
1542C4—1062no—
1543C4—1062no—
1544C4—1062no—
1545C4—1068no—
1546C4—1062no—
1547C4—1062no—
1548C4—1068no—
1549C4#1681145814yes—
1550C4#1681145912yes—
1551C2—41no—
1552C2—48no—
1553C2—41no—
1554C2—41no—
1555C2—2122no—
1556C2—2122no—
1557C2C2×#1681145812yes—
1558C2C2×#1681145911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3508C2
hypercenter#3508D53
hypocenterC53#62839
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3508

Complements

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

NH ≅ G/Ntype
1. #20289220C2semidirect
2. #20289212C2semidirect
3. #20289139C2semidirect
4. #20289135C2semidirect
5. #20288981C2semidirect
6. #20288979C2semidirect
7. #20288974C2semidirect
8. #20288966C2semidirect
9. #20288819C2semidirect
10. #20288818C2semidirect
11. #20288813C2semidirect
12. #20288772C2semidirect
13. #20288771C2semidirect
14. #20288768C2semidirect
15. #20288622C2semidirect
16. #20288616C2semidirect
17. #20288616C2semidirect
18. #20288601C2semidirect
19. #20288594C2semidirect
20. #20288589C2semidirect
21. #20288010C2semidirect
22. #20288008C2semidirect
23. C53×#3508C2semidirect
24. #16811376C22semidirect
25. #16811373C22semidirect
27. #16811362C22semidirect
28. #16811361C22semidirect
29. #16811360C22semidirect
30. #16811359C22semidirect
31. #16811359C22semidirect
32. #16811359C22semidirect
33. #16811357C22semidirect
34. #16811351C22semidirect
35. #16811350C22semidirect
36. #16811349C22semidirect
39. #16811343C22semidirect
40. #16811342C22semidirect
41. #16811342C22semidirect
43. #16811338C22semidirect
44. #16811337C22semidirect
45. #16811337C22semidirect
46. #16811337C22semidirect
47. #16811335C22semidirect
48. #16811332C22semidirect
49. #16811332C22semidirect
50. #16811330C22semidirect
51. #16811325C22semidirect
52. #16811325C22semidirect
53. #16811325C22semidirect
54. #16811323C22semidirect
55. #16811323C22semidirect
56. #16811322C22semidirect
57. #16811320C22semidirect
58. #16811320C22semidirect
59. #16811316C22semidirect
60. #16811314C22semidirect
61. #16811313C22semidirect
62. #16811313C22semidirect
63. #16811313C22semidirect
64. #16811312C22semidirect
65. #16811311C22semidirect
66. #16811310C22semidirect
67. #16811310C22semidirect
68. #16811307C22semidirect
70. #16811304C22semidirect
72. #16811299C22semidirect
75. #16811281C22semidirect
76. #16811281C22semidirect
77. #16811280C22semidirect
78. #16811280C22semidirect
79. #16811279C22semidirect
80. #16811279C22semidirect
81. #16811277C22semidirect
82. #16811272C22semidirect
83. #16811272C22semidirect
86. #16811267C22semidirect
87. #16811267C22semidirect
88. #16811242C22semidirect
89. #16811242C22semidirect
90. #16811241C22semidirect
91. #16811240C22semidirect
92. #16811240C22semidirect
93. #16811240C22semidirect
94. #16811238C22semidirect
95. #16811238C22semidirect
96. #16811237C22semidirect
97. #16811235C22semidirect
98. #16811235C22semidirect
99. #16811233C22semidirect
100. #16811231C22semidirect
102. #16811227C22semidirect
103. #16811227C22semidirect
104. #16811225C22semidirect
105. #16811223C22semidirect
106. #16811218C22semidirect
107. #16811217C22semidirect
108. #16811215C22semidirect
112. #16811202C22semidirect
113. #16811202C22semidirect
114. #16811201C22semidirect
118. #16811180C22semidirect
119. #16811180C22semidirect
120. #16811180C22semidirect
121. #16811178C22semidirect
122. #16811178C22semidirect
123. #16811178C22semidirect
124. #16811177C22semidirect
125. #16811176C22semidirect
128. #16811171C22semidirect
129. #16811171C22semidirect
132. C2×#13133217C22semidirect
133. C4⋊Q8×D53C22semidirect
134. #16811160C22semidirect
136. #16811155C22semidirect
137. #16811155C22semidirect
138. #16811154C22semidirect
139. #16811154C22semidirect
140. #16811154C22semidirect
142. #16811153C22semidirect
143. #16811153C22semidirect
144. #16811152C22semidirect
145. #16811152C22semidirect
147. #16811151C22semidirect
148. #16811150C22semidirect
149. C2×#13133210C22semidirect
150. #16811135C22semidirect
151. #16811133C22semidirect
152. #16811133C22semidirect
154. #16811132C22semidirect
156. #16811130C22semidirect
157. #16811106C22semidirect
158. #16811102C22semidirect
159. #16811102C22semidirect
160. #16811100C22semidirect
161. #16811099C22semidirect
162. #16811098C22semidirect
163. #41×Dic53C22semidirect
165. C4×#11719945C22semidirect
166. C4×#11719945C22semidirect
167. C4×#11719947C22semidirect
168. C4×#11719947C22semidirect
169. C2×C42×D53C22semidirect
170. C53×#559C22semidirect
173. C53×#546C22semidirect
175. C53×#540C22semidirect
177. C53×#533C22semidirect
179. C53×#532C22semidirect
180. C2×#127×C53C22semidirect
181. C53×#518C22semidirect
792. #3508D53semidirect
813. #559C2×D53semidirect
870. #546C2×D53semidirect
890. #540C2×D53semidirect
912. #533C2×D53semidirect
920. #532C2×D53semidirect
923. C2×#127C2×D53semidirect
953. #518C2×D53semidirect
962. C53#62839semidirect

Maximal subgroups

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

subgroupindex
#202892202
#202892122
#202891392
#202891352
#202889812
#202889792
#202889742
#202889662
#202888192
#202888182
#202888132
#202887722
#202887712
#202887682
#202886222
#202886162
#202886012
#202885942
#202885892
#202880102
#202880082
C53×#35082
#6283953