Finite Group Databasebeta

← #28293081

Subgroups — #28293081

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#20289223C212yesmaximal, complemented
2#20289222C214yesmaximal, complemented
3#20289144C212yesmaximal, complemented
4#20289143C214yesmaximal, complemented
5#20288992C212yesmaximal, complemented
6#20288991C214yesmaximal, complemented
7#20288977C212yesmaximal, complemented
8#20288976C214yesmaximal, complemented
9#20288827C214yesmaximal, complemented
10#20288826C214yesmaximal, complemented
11#20288821C214yesmaximal, complemented
12#20288790C214yesmaximal, complemented
13#20288789C214yesmaximal, complemented
14#20288788C214yesmaximal, complemented
15#20288628C212yesmaximal, complemented
16#20288627C212yesmaximal, complemented
17#20288627C212yesmaximal, complemented
18#20288594C212yesmaximal, complemented
19#20288592C212yesmaximal, complemented
20#20288591C211yesmaximal, characteristic, complemented
21#20288012C212yesmaximal, complemented
22#20288008C211yesmaximal, characteristic, complemented
23C53×#3509C211yesmaximal, characteristic, complemented
24#16811377C2218yescomplemented
25#16811372C2214yescomplemented
26#16811365C2214yes—
27#16811364C2218yescomplemented
28#16811363C2214yescomplemented
29#16811363C2214yescomplemented
30#16811358C2214yescomplemented
31#16811358C2218yescomplemented
32#16811358C2214yescomplemented
33#16811358C2214yescomplemented
34#16811357C2214yescomplemented
35#16811350C2214yescomplemented
36#16811349C2214yescomplemented
37#16811347C2214yescomplemented
38#16811345C2214yescomplemented
39#16811345C2214yescomplemented
40#16811344C2214yes—
41#16811341C2214yes—
42#16811339C2214yescomplemented
43#16811339C2214yescomplemented
44#16811336C2218yescomplemented
45#16811336C2214yescomplemented
46#16811336C2214yescomplemented
47#16811334C2214yescomplemented
48#16811329C2214yescomplemented
49#16811329C2214yescomplemented
50#16811326C2218yescomplemented
51#16811326C2214yescomplemented
52#16811326C2214yescomplemented
53#16811324C2218yescomplemented
54#16811321C2214yescomplemented
55#16811321C2214yescomplemented
56#16811317C2214yescomplemented
57#16811317C2218yescomplemented
58#16811317C2214yescomplemented
59#16811314C2218yescomplemented
60#16811314C2214yescomplemented
61#16811312C2214yescomplemented
62#16811311C2218yescomplemented
63#16811311C2214yescomplemented
64#16811307C2214yescomplemented
65#16811305C2218yescomplemented
66#16811303C2214yes—
67#16811301C2214yescomplemented
68#16811298C2218yes—
69#16811298C2218yescomplemented
70#16811295C2214yes—
71#16811295C2214yes—
72#16811294C2214yes—
73#16811285C2214yescomplemented
74#16811285C2214yescomplemented
75#16811284C2214yescomplemented
76#16811284C2214yescomplemented
77#16811283C2214yescomplemented
78#16811283C2214yescomplemented
79#16811276C2214yescomplemented
80#16811275C2214yescomplemented
81#16811275C2214yescomplemented
82#16811269C2214yes—
83#16811269C2214yescomplemented
84#16811264C2214yes—
85#16811264C2214yes—
86#16811264C2214yescomplemented
87#16811264C2214yescomplemented
88#16811247C2214yescomplemented
89#16811247C2218yescomplemented
90#16811247C2214yescomplemented
91#16811246C2214yescomplemented
92#16811246C2214yescomplemented
93#16811245C2214yescomplemented
94#16811245C2218yescomplemented
95#16811245C2214yescomplemented
96#16811239C2218yescomplemented
97#16811233C2214yescomplemented
98#16811231C2214yescomplemented
99#16811229C2214yes—
100#16811229C2214yescomplemented
101#16811229C2218yescomplemented
102#16811228C2212yes—
103#16811228C2212yescomplemented
104#16811228C2218yescomplemented
105#16811225C2218yescomplemented
106#16811221C2218yescomplemented
107#16811221C2218yescomplemented
108#16811214C2218yescomplemented
109#16811212C2218yes—
110#16811209C2218yes—
111#16811207C2218yes—
112#16811204C2214yescomplemented
113#16811203C2214yescomplemented
114#16811203C2214yescomplemented
115#16811196C2214yes—
116#16811192C2214yes—
117#16811187C2212yes—
118#16811180C2211yescharacteristic, complemented
119#16811178C2212yescomplemented
120#16811178C2212yescomplemented
121#16811178C2212yescomplemented
122#16811177C2212yescomplemented
123#16811176C2211yescharacteristic, complemented
124#16811174C2212yes—
125#16811174C2212yes—
126#16811174C2212yescomplemented
127#16811174C2212yescomplemented
128#16811173C2212yes—
129#16811173C2212yescomplemented
130#16811170C2212yes—
131#16811169C2211yescharacteristic
132C4⋊Q8×D53C2212yescomplemented
133C2×#13133214C2211yescharacteristic, complemented
134#16811160C2212yescomplemented
135#16811160C2214yescomplemented
136#16811160C2214yescomplemented
137#16811160C2218yescomplemented
138#16811159C2214yescomplemented
139#16811159C2214yescomplemented
140#16811158C2214yescomplemented
141#16811158C2214yescomplemented
142#16811158C2218yescomplemented
143#16811155C2212yes—
144#16811153C2212yes—
145#16811153C2212yescomplemented
146#16811151C2212yes—
147#16811151C2212yescomplemented
148#16811151C2218yescomplemented
149#126×D53C2218yescomplemented
150#16811136C2214yescomplemented
151#16811136C2214yescomplemented
152#16811135C2211yescharacteristic, complemented
153#16811135C2214yescomplemented
154#16811132C2212yes—
155#16811132C2212yescomplemented
156#16811130C2211yescharacteristic
157#16811105C2214yescomplemented
158#16811105C2214yescomplemented
159#16811104C2214yescomplemented
160#16811099C2214yescomplemented
161#16811097C2214yescomplemented
162#16811097C2212yescomplemented
163C4×#11719949C2214yescomplemented
164C4×#11719949C2214yescomplemented
165C4×#11719945C2212yes—
166C4×#11719945C2211yescharacteristic, complemented
167C4×#11719945C2212yescomplemented
168#16811091C2214yescomplemented
169C2×C42×D53C2211yescharacteristic, complemented
170C53×#557C2214yescomplemented
171C53×#556C2214yes—
172C53×#552C2214yescomplemented
173C53×#552C2214yescomplemented
174C53×#541C2212yescomplemented
175C53×#541C2212yescomplemented
176C53×#536C2212yes—
177C53×#533C2212yescomplemented
178C53×#533C2212yescomplemented
179C53×#533C2211yescharacteristic, complemented
180C2×C4⋊Q8×C53C2211yescharacteristic, complemented
181C53×#519C2212yescomplemented
182C4×#41×C53C2211yescharacteristic
183C2×#11719949C2314yes—
184C2×#11719949C2314yes—
185C2×#11719949C2314yes—
186C2×#11719949C2314yes—
187C2×#11719945C2314yes—
188C2×#11719945C2314yes—
189C2×#11719945C2312yes—
190C2×#11719945C2312yes—
191C2×#11719945C2311yescharacteristic
192C2×Q8×D53C2314yes—
193C22×D212C2312yes—
194C22×D212C2314yes—
195C22×C4×D53C2311yescharacteristic
196C22×C4×D53C2312yes—
197#13133217C2312yes—
198#13133216C2314yes—
199#13133216C2314yes—
200#13133216C2318yes—
201#13133216C2312yes—
202#13133215C2314yes—
203#13133215C2311yescharacteristic
204#13133214C2314yes—
205#13133214C2312yes—
206#13133214C2318yes—
207#13133214C2312yes—
208#13133213C2314yes—
209#13133213C2311yescharacteristic
210#13133212C2318yes—
211#13133212C2318yes—
212#13133212C2318yes—
213#13133212C2318yes—
214#13133212C2318yes—
215#13133212C2318yes—
216#13133212C2318yes—
217#13133212C2312yes—
218#13133212C2312yes—
219#13133211C2318yes—
220#13133211C2318yes—
221#13133211C2318yes—
222#13133210C2318yes—
223#13133210C2318yes—
224#13133210C2312yes—
225#13133210C2312yes—
226#13133209C2318yes—
227#13133209C2312yes—
228#13133208C2314yes—
229#13133208C2312yes—
230#13133208C2318yes—
231#13133208C2314yes—
232#13133208C2314yes—
233#13133207C2312yes—
234#13133207C2318yes—
235#13133207C2312yes—
236#13133207C2318yes—
237#13133206C2314yes—
238#13133206C2314yes—
239#13133206C2314yes—
240#13133206C2314yes—
241#13133206C2318yes—
242#13133206C2318yes—
243#13133206C2311yescharacteristic
244#13133206C2314yes—
245#13133205C2314yes—
246#13133205C2314yes—
247#13133205C2318yes—
248#13133205C2318yes—
249#13133205C2318yes—
250#13133204C2311yescharacteristic
251#13133203C2318yes—
252#13133203C2318yes—
253#13133203C2318yes—
254#13133203C2312yes—
255#13133203C2312yes—
256#13133202C2318yes—
257#13133202C2318yes—
258#13133202C2318yes—
259#13133202C2318yes—
260#13133202C2318yes—
261#13133202C2318yes—
262#13133202C2318yes—
263#13133202C2318yes—
264#13133202C2318yes—
265#13133202C2318yes—
266#13133202C2318yes—
267#13133202C2312yes—
268#13133202C2312yes—
269#13133202C2318yes—
270#13133202C2318yes—
271#13133201C2312yes—
272#13133201C2318yes—
273#13133199C2318yes—
274#13133199C2318yes—
275#13133199C2312yes—
276#13133199C2318yes—
277#13133199C2312yes—
278#13133198C2311yescharacteristic
279#13133198C2311yescharacteristic
280#13133197C2314yes—
281#13133197C2314yes—
282#13133197C2318yes—
283#13133197C2318yes—
284#13133197C2318yes—
285#13133197C2312yes—
286#13133197C2314yes—
287#13133196C2314yes—
288#13133195C2318yes—
289#13133195C2318yes—
290#13133195C2318yes—
291#13133195C2318yes—
292#13133195C2312yes—
293#13133195C2312yes—
294#13133194C2312yes—
295#13133194C2312yes—
296#13133193C2314yes—
297#13133193C2314yes—
298#13133193C2318yes—
299#13133193C2318yes—
300#13133193C2312yes—
301#13133193C2314yes—
302#13133192C2318yes—
303#13133192C2314yes—
304#13133192C2314yes—
305#13133192C2318yes—
306#13133192C2314yes—
307#13133192C2314yes—
308#13133192C2318yes—
309#13133192C2318yes—
310#13133192C2318yes—
311#13133192C2314yes—
312#13133192C2314yes—
313#13133192C2318yes—
314#13133192C2318yes—
315#13133192C2314yes—
316#13133192C2312yes—
317#13133192C2314yes—
318#13133191C2314yes—
319#13133191C2314yes—
320#13133191C2314yes—
321#13133191C2318yes—
322#13133191C2318yes—
323#13133191C2314yes—
324#13133190C2318yes—
325#13133190C2318yes—
326#13133190C2318yes—
327#13133190C2318yes—
328#13133190C2318yes—
329#13133190C2318yes—
330#13133190C2312yes—
331#13133190C2312yes—
332#13133189C2312yes—
333#13133189C2312yes—
334#13133188C2312yes—
335#13133187C2318yes—
336#13133187C2318yes—
337#13133187C2318yes—
338#13133187C2312yes—
339#13133185C2314yes—
340#13133185C2314yes—
341#13133185C2311yescharacteristic
342#13133185C2311yescharacteristic
343Q8×Dic53C2314yes—
344Q8×Dic53C2314yes—
345Q8×Dic53C2314yes—
346C4×Dic106C2314yes—
347C4×Dic106C2318yes—
348C4×Dic106C2312yes—
349C4×Dic106C2312yes—
350C4×Dic106C2312yes—
351C4×Dic106C2312yes—
352C4×Dic106C2312yes—
353#13133182C2314yes—
354#13133182C2314yes—
355#13133182C2318yes—
356#13133182C2314yes—
357C4×D212C2314yes—
358C4×D212C2314yes—
359C4×D212C2312yes—
360C4×D212C2314yes—
361C4×D212C2312yes—
362C4×D212C2312yes—
363C4×D212C2318yes—
364C4×D212C2318yes—
365C4×D212C2312yes—
366C4×D212C2312yes—
367C4×D212C2318yes—
368C4×D212C2318yes—
369C4×D212C2318yes—
370C4×D212C2314yes—
371C4×D212C2318yes—
372#13133179C2314yes—
373#13133179C2314yes—
374#13133179C2314yes—
375#13133179C2314yes—
376#13133179C2314yes—
377#13133179C2314yes—
378#13133179C2318yes—
379#13133179C2318yes—
380#13133179C2318yes—
381#13133179C2318yes—
382#13133179C2314yes—
383#13133179C2314yes—
384#13133179C2318yes—
385C4×C22⋊D53C2312yes—
386C4×C22⋊D53C2312yes—
387C4×C22⋊D53C2312yes—
388C4×C22⋊D53C2312yes—
389C4×C22⋊D53C2312yes—
390C4×C22⋊D53C2312yes—
391C4×C22⋊D53C2312yes—
392C4×C22⋊D53C2312yes—
393C4×C22⋊D53C2312yes—
394C4×C22⋊D53C2312yes—
395C4×C22⋊D53C2318yes—
396C4×C22⋊D53C2318yes—
397#13133177C2318yes—
398#13133177C2318yes—
399#13133176C2312yes—
400#13133176C2312yes—
401#13133176C2312yes—
402#13133176C2311yescharacteristic
403#13133175C2318yes—
404#13133175C2318yes—
405#13133175C2318yes—
406#13133175C2318yes—
407#13133175C2314yes—
408#13133175C2314yes—
409#13133175C2314yes—
410#13133174C2318yes—
411#13133174C2318yes—
412#13133174C2318yes—
413#13133174C2318yes—
414#13133174C2312yes—
415#13133174C2312yes—
416#13133174C2312yes—
417#13133174C2312yes—
418#13133174C2312yes—
419C4⋊C4×D53C2318yes—
420C4⋊C4×D53C2318yes—
421C4⋊C4×D53C2318yes—
422C4⋊C4×D53C2314yes—
423C4⋊C4×D53C2314yes—
424C22⋊C4×D53C2318yes—
425C22⋊C4×D53C2318yes—
426C22⋊C4×D53C2318yes—
427C2×C4×Dic53C2312yes—
428C2×C4×Dic53C2311yescharacteristic
429C42×D53C2312yes—
430C42×D53C2312yes—
431C42×D53C2312yes—
432C42×D53C2312yes—
433C42×D53C2318yes—
434C42×D53C2312yes—
435C2×#41×C53C2311yescharacteristic
436C22×Q8×C53C2312yes—
437C4⋊Q8×C53C2312yes—
438C4⋊Q8×C53C2312yes—
439C4⋊Q8×C53C2314yes—
440C4⋊Q8×C53C2312yes—
441C4⋊Q8×C53C2314yes—
442#126×C53C2318yes—
443#126×C53C2318yes—
444#125×C53C2318yes—
445#125×C53C2314yes—
446#125×C53C2318yes—
447#125×C53C2312yes—
448#125×C53C2314yes—
449#124×C53C2314yes—
450#123×C53C2314yes—
451#123×C53C2314yes—
452C22⋊Q8×C53C2314yes—
453C22⋊Q8×C53C2314yes—
454C22⋊Q8×C53C2314yes—
455C22⋊Q8×C53C2314yes—
456C22⋊Q8×C53C2314yes—
457C4×Q8×C53C2314yes—
458C4×Q8×C53C2314yes—
459C4×Q8×C53C2314yes—
460C4×Q8×C53C2314yes—
461C4×Q8×C53C2312yes—
462C4×Q8×C53C2314yes—
463C4×Q8×C53C2318yes—
464C4×D4×C53C2312yes—
465C4×D4×C53C2312yes—
466C4×D4×C53C2312yes—
467#117×C53C2311yescharacteristic
468#117×C53C2311yescharacteristic
469#117×C53C2311yescharacteristic
470#117×C53C2312yes—
471#117×C53C2318yes—
472#117×C53C2314yes—
473#117×C53C2314yes—
474C2×C4⋊C4×C53C2314yes—
475C2×C42×C53C2311yescharacteristic
476C2×C42×C53C2311yescharacteristic
477C2×C42×C53C2311yescharacteristic
478C23×D53C2414yes—
479C23×D53C2411yescharacteristic
480#41×C53—42no—
481C2×Q8×C53—44no—
482C2×Q8×C53C2414yes—
483C2×Q8×C53C2414yes—
484C2×Q8×C53C2414yes—
485C2×Q8×C53C2411yescharacteristic
486C2×D4×C53C2411yescharacteristic
487C2×D4×C53C2411yescharacteristic
488C2×D4×C53C2411yescharacteristic
489C22×C4×C53C2412yes—
490C22×C4×C53C2411yescharacteristic
491C22×C4×C53C2412yes—
492C22×C4×C53C2412yes—
493C22×C4×C53C2411yescharacteristic
494C22×C4×C53C2411yescharacteristic
495C22×C4×C53C2414yes—
496C2×C22⋊D53C2418yes—
497C2×C22⋊D53C2412yes—
498C2×C22⋊D53C2412yes—
499C2×C22⋊D53C2418yes—
500C2×C22⋊D53C2412yes—
501C2×C22⋊D53C2412yes—
502C2×C22⋊D53C2412yes—
503C22×Dic53C2411yescharacteristic
504C22×Dic53C2412yes—
505#11719949—48no—
506#11719949—48no—
507#11719949—48no—
508#11719949—48no—
509Q8×D53—48no—
510#11719945—48no—
511#11719945—48no—
512#11719945—44no—
513#11719945—44no—
514#11719945—42no—
515C2×D212—48no—
516C2×D212—44no—
517C2×D212C2414yes—
518C2×D212C2414yes—
519C2×D212C2414yes—
520C2×D212C2414yes—
521C2×D212C2418yes—
522C2×D212C2418yes—
523C2×D212C2418yes—
524C2×D212C2418yes—
525C2×D212C2412yes—
526C2×D212C2412yes—
527C2×D212C2418yes—
528C2×D212C2411yescharacteristic
529C2×C4×D53—44no—
530C2×C4×D53—42no—
531C2×C4×D53C2412yes—
532C2×C4×D53C2412yes—
533C2×C4×D53C2412yes—
534C2×C4×D53C2412yes—
535C2×C4×D53C2412yes—
536C2×C4×D53C2412yes—
537C2×C4×D53C2412yes—
538C2×C4×D53C2412yes—
539C2×C4×D53C2412yes—
540C2×C4×D53C2418yes—
541C2×C4×D53C2418yes—
542C2×C4×D53C2418yes—
543C2×C4×D53C2418yes—
544C2×C4×D53C2418yes—
545C2×C4×D53C2418yes—
546C2×C4×D53C2418yes—
547C2×Dic106C2414yes—
548C2×Dic106C2418yes—
549C2×Dic106C2412yes—
550C2×Dic106C2412yes—
551C2×Dic106C2411yescharacteristic
552C4⋊C4×C53C2414yes—
553C4⋊C4×C53C2414yes—
554C4⋊C4×C53C2418yes—
555C4⋊C4×C53C2414yes—
556C4⋊C4×C53C2412yes—
557C4⋊C4×C53C2412yes—
558C4⋊C4×C53C2412yes—
559C4⋊C4×C53C2414yes—
560C4⋊C4×C53C2418yes—
561C4⋊C4×C53C2418yes—
562C4⋊C4×C53C2418yes—
563C4⋊C4×C53C2418yes—
564C4⋊C4×C53C2418yes—
565C22⋊C4×C53C2412yes—
566C22⋊C4×C53C2414yes—
567C22⋊C4×C53C2412yes—
568C22⋊C4×C53C2412yes—
569C22⋊C4×C53C2418yes—
570C22⋊C4×C53C2418yes—
571C42×C53C2411yescharacteristic
572C42×C53C2411yescharacteristic
573C42×C53C2411yescharacteristic
574C42×C53C2411yescharacteristic
575C42×C53C2412yes—
576C42×C53C2412yes—
577C42×C53C2412yes—
578C42×C53C2418yes—
579C42×C53C2418yes—
580C42×C53C2414yes—
581C22⋊Dic53C2412yes—
582C22⋊Dic53C2412yes—
583C22⋊Dic53C2414yes—
584C22⋊Dic53C2412yes—
585C22⋊Dic53C2412yes—
586C22⋊Dic53C2411yescharacteristic
587C22⋊Dic53C2411yescharacteristic
588#11719921C2418yes—
589#11719921C2418yes—
590#11719921C2418yes—
591#11719921C2418yes—
592#11719921C2418yes—
593#11719921C2418yes—
594#11719921C2412yes—
595#11719921C2412yes—
596#11719921C2418yes—
597#11719921C2418yes—
598#11719921C2412yes—
599#11719921C2412yes—
600#11719921C2412yes—
601#11719921C2412yes—
602#11719921C2412yes—
603#11719921C2412yes—
604#11719921C2412yes—
605#11719921C2412yes—
606#11719921C2418yes—
607#11719921C2418yes—
608#11719921C2418yes—
609#11719921C2418yes—
610#11719921C2418yes—
611#11719921C2418yes—
612#11719921C2418yes—
613C4⋊Dic53C2412yes—
614C4⋊Dic53C2414yes—
615C4⋊Dic53C2418yes—
616C4⋊Dic53C2414yes—
617C4⋊Dic53C2418yes—
618C4⋊Dic53C2412yes—
619C4⋊Dic53C2418yes—
620C4⋊Dic53C2412yes—
621C4⋊Dic53C2412yes—
622C4⋊Dic53C2412yes—
623#11719919C2412yes—
624#11719919C2412yes—
625#11719919C2418yes—
626#11719919C2418yes—
627#11719919C2418yes—
628#11719919C2418yes—
629#11719919C2412yes—
630#11719919C2412yes—
631#11719919C2418yes—
632#11719919C2412yes—
633#11719919C2412yes—
634#11719919C2412yes—
635#11719919C2412yes—
636#11719919C2412yes—
637#11719919C2412yes—
638#11719919C2418yes—
639C4×Dic53C2412yes—
640C4×Dic53C2412yes—
641C4×Dic53C2412yes—
642C4×Dic53C2411yescharacteristic
643C4×Dic53C2412yes—
644C4×Dic53C2412yes—
645C4×Dic53C2411yescharacteristic
646C4×Dic53C2418yes—
647C4×Dic53C2412yes—
648C4×Dic53C2412yes—
649C4×Dic53C2412yes—
650C4×Dic53C2418yes—
651C4×Dic53C2418yes—
652C4×Dic53C2414yes—
653C23×C53C2511yescharacteristic
654C23×C53C2511yescharacteristic
655C23×C53C2511yescharacteristic
656C22×D53—41no—
657C22×D53—42no—
658C22×D53—44no—
659C22×D53—48no—
660C22×D53C2512yes—
661C22×D53C2512yes—
662C22×D53C2518yes—
663Q8×C53—28no—
664Q8×C53—28no—
665Q8×C53—44no—
666Q8×C53—41no—
667D4×C53—41no—
668D4×C53—41no—
669D4×C53—41no—
670C2×C4×C53—24no—
671C2×C4×C53—22no—
672C2×C4×C53—24no—
673C2×C4×C53—22no—
674C2×C4×C53—24no—
675C2×C4×C53—22no—
676C2×C4×C53—44no—
677C2×C4×C53C2512yes—
678C2×C4×C53C2518yes—
679C2×C4×C53C2511yescharacteristic
680C2×C4×C53C2512yes—
681C2×C4×C53C2512yes—
682C2×C4×C53C2518yes—
683C2×C4×C53C2511yescharacteristic
684C2×C4×C53C2511yescharacteristic
685C2×C4×C53C2512yes—
686C2×C4×C53C2511yescharacteristic
687C22⋊D53—48no—
688C22⋊D53—48no—
689C22⋊D53—42no—
690C22⋊D53—42no—
691C22⋊D53—42no—
692C22⋊D53—42no—
693C22⋊D53—42no—
694C2×Dic53—42no—
695C2×Dic53—41no—
696C2×Dic53C2512yes—
697C2×Dic53C2518yes—
698C2×Dic53C2512yes—
699C2×Dic53C2512yes—
700C2×Dic53C2512yes—
701C2×Dic53C2512yes—
702C2×Dic53C2512yes—
703D212—28no—
704D212—28no—
705D212—28no—
706D212—48no—
707D212—44no—
708D212—42no—
709D212—41no—
710D212—42no—
711D212—48no—
712D212—48no—
713D212—48no—
714D212—48no—
715C4×D53—24no—
716C4×D53—24no—
717C4×D53—24no—
718C4×D53—24no—
719C4×D53—24no—
720C4×D53—24no—
721C4×D53—42no—
722C4×D53—42no—
723C4×D53—42no—
724C4×D53—48no—
725C4×D53—48no—
726C4×D53—48no—
727C4×D53—48no—
728C4×D53—48no—
729C4×D53—48no—
730C4×D53—48no—
731Dic106—28no—
732Dic106—42no—
733Dic106—42no—
734Dic106—41no—
735Dic106—48no—
736#62839—531nomaximal, Sylow
737C22×C53—22no—
738C22×C53—21no—
739C22×C53—22no—
740C22×C53—22no—
741C22×C53—21no—
742C22×C53—21no—
743C22×C53C2611yescharacteristic
744C2×D53—22no—
745C2×D53—22no—
746C2×D53—22no—
747C2×D53—22no—
748C2×D53—22no—
749C2×D53—22no—
750C2×D53—28no—
751C2×D53—28no—
752C2×D53—28no—
753C2×D53—44no—
754C2×D53—164no—
755C4×C53—22no—
756C4×C53—28no—
757C4×C53—21no—
758C4×C53—22no—
759C4×C53—22no—
760C4×C53—28no—
761C4×C53—21no—
762C4×C53—21no—
763C4×C53#58512yes—
764C4×C53#58514yes—
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#3509D5311yescharacteristic, complemented
791#3508—532no—
792#3508—531no—
793#3444—532no—
794#3444—531no—
795C2×C53—41no—
796C2×C53—41no—
797C2×C53—41no—
798C2×C53C2×#58511yescharacteristic
799C2×C53C2×#58512yes—
800D53—42no—
801D53—42no—
802D53—48no—
803#563—534no—
804#563—538no—
805H(3,𝔽4)—534no—
806#560—538no—
807#560—534no—
808#560—534no—
809#559—534no—
810#559—534no—
811#559—534no—
812#559—534no—
813#559—538no—
814#557—534no—
815#557—534no—
816#557C2×D5314yescomplemented
817#556—534no—
818#556—534no—
819#556—534no—
820#556—534no—
821#556—534no—
822#556C2×D5314yes—
823#555—534no—
824#555—534no—
825#555—534no—
826#555—534no—
827#555—538no—
828#554—534no—
829#554—534no—
830#554—534no—
831#553—538no—
832#553—534no—
833#553—534no—
834#553—538no—
835#553—534no—
836#553—534no—
837#553—538no—
838#553—534no—
839#553—534no—
840#552—538no—
841#552—534no—
842#552—538no—
843#552—534no—
844#552—534no—
845#552—538no—
846#552—534no—
847#552C2×D5314yescomplemented
848#552C2×D5314yescomplemented
849#551—538no—
850#551—538no—
851#551—534no—
852#551—534no—
853#550—534no—
854#550—534no—
855#550—534no—
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#546—534no—
870#546—534no—
871#542—534no—
872#542—534no—
873#542—538no—
874#542—538no—
875#542—534no—
876#542—534no—
877#542—534no—
878#542—534no—
879#542—538no—
880#541—534no—
881#541—534no—
882#541C2×D5312yescomplemented
883#541C2×D5312yescomplemented
884#540—534no—
885#540—534no—
886#540—538no—
887#540—538no—
888#540—532no—
889#540—532no—
890#540—538no—
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—534no—
901#536C2×D5312yes—
902#535—532no—
903#535—534no—
904#533—532no—
905#533—532no—
906#533—532no—
907#533—532no—
908#533—531no—
909#533—531no—
910#533C2×D5312yescomplemented
911#533C2×D5312yescomplemented
912#533C2×D5311yescharacteristic, complemented
913#532—531no—
914#532—532no—
915#532—532no—
916#532—532no—
917#532—532no—
918#532—532no—
919#532—532no—
920#532—532no—
921C2×C4⋊Q8—532no—
922C2×C4⋊Q8C2×D5311yescharacteristic, complemented
923C2×#127—531no—
924#529—534no—
925#529—534no—
926#529—538no—
927#529—534no—
928#529—534no—
929#529—534no—
930#529—532no—
931#529—534no—
932#529—538no—
933#529—532no—
934#529—532no—
935#529—532no—
936#529—532no—
937#529—532no—
938#529—538no—
939C2×#126—538no—
940#525—531no—
941#525—534no—
942#525—534no—
943#525—532no—
944#525—532no—
945#525—531no—
946#525—534no—
947#520—534no—
948#520—534no—
949#520—534no—
950#519—534no—
951#519C2×D5312yescomplemented
952#518—534no—
953#518—532no—
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×#41—534no—
971C2×#41—534no—
972C2×#41C22×D5311yescharacteristic
973C22×Q8—534no—
974C22×Q8C22×D5312yes—
975C22×D4—532no—
976C22×D4—534no—
977C23×C4—531no—
978C23×C4—532no—
979C4⋊Q8—534no—
980C4⋊Q8—531no—
981C4⋊Q8—534no—
982C4⋊Q8—534no—
983C4⋊Q8—532no—
984C4⋊Q8—538no—
985C4⋊Q8—532no—
986C4⋊Q8C22×D5312yes—
987C4⋊Q8C22×D5312yes—
988C4⋊Q8C22×D5312yes—
989C4⋊Q8C22×D5314yes—
990C4⋊Q8C22×D5314yes—
991#127—531no—
992#127—534no—
993#127—532no—
994#127—534no—
995#127—532no—
996#127—538no—
997#126—538no—
998#126—538no—
999#126—538no—
1000#126—532no—
1001#126—532no—
1002#126—538no—
1003#126—538no—
1004#126—538no—
1005#126—538no—
1006#126—532no—
1007#126—538no—
1008#126—538no—
1009#126—532no—
1010#126—538no—
1011#126—538no—
1012#126—538no—
1013#126C22×D5318yes—
1014#126C22×D5318yes—
1015#125—532no—
1016#125—532no—
1017#125—532no—
1018#125—534no—
1019#125—534no—
1020#125—538no—
1021#125—538no—
1022#125—534no—
1023#125—538no—
1024#125—532no—
1025#125—538no—
1026#125C22×D5314yes—
1027#125C22×D5318yes—
1028#125C22×D5314yes—
1029#125C22×D5312yes—
1030#125C22×D5318yes—
1031#124—534no—
1032#124—534no—
1033#124—531no—
1034#124—538no—
1035#124—534no—
1036#124—534no—
1037#124—534no—
1038#124—538no—
1039#124—531no—
1040#124—532no—
1041#124—532no—
1042#124—538no—
1043#124—538no—
1044#124—538no—
1045#124—534no—
1046#124—538no—
1047#124—534no—
1048#124—538no—
1049#124—538no—
1050#124C22×D5314yes—
1051#123—531no—
1052#123—531no—
1053#123—538no—
1054#123—538no—
1055#123—532no—
1056#123—532no—
1057#123—538no—
1058#123—538no—
1059#123—538no—
1060#123—538no—
1061#123—538no—
1062#123—538no—
1063#123—538no—
1064#123—538no—
1065#123—538no—
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×D5314yes—
1076#123C22×D5314yes—
1077C22⋊Q8—534no—
1078C22⋊Q8—532no—
1079C22⋊Q8—534no—
1080C22⋊Q8—538no—
1081C22⋊Q8—534no—
1082C22⋊Q8—538no—
1083C22⋊Q8—534no—
1084C22⋊Q8—534no—
1085C22⋊Q8—532no—
1086C22⋊Q8—532no—
1087C22⋊Q8—532no—
1088C22⋊Q8—534no—
1089C22⋊Q8—538no—
1090C22⋊Q8—538no—
1091C22⋊Q8—534no—
1092C22⋊Q8—538no—
1093C22⋊Q8—538no—
1094C22⋊Q8—538no—
1095C22⋊Q8—538no—
1096C22⋊Q8—538no—
1097C22⋊Q8—532no—
1098C22⋊Q8—532no—
1099C22⋊Q8C22×D5314yes—
1100C22⋊Q8C22×D5314yes—
1101C22⋊Q8C22×D5314yes—
1102C22⋊Q8C22×D5314yes—
1103C22⋊Q8C22×D5314yes—
1104#121—532no—
1105#121—532no—
1106#121—532no—
1107#121—534no—
1108#121—534no—
1109#121—534no—
1110#121—534no—
1111#121—538no—
1112#121—538no—
1113#121—534no—
1114#121—534no—
1115#121—532no—
1116#121—534no—
1117#121—534no—
1118#121—538no—
1119#121—538no—
1120#121—534no—
1121#121—534no—
1122#121—534no—
1123#121—534no—
1124#121—538no—
1125#121—538no—
1126#121—538no—
1127#121—538no—
1128#121—538no—
1129#121—532no—
1130#121—532no—
1131#121—538no—
1132#121—538no—
1133#121—538no—
1134#121—538no—
1135#121—538no—
1136#121—538no—
1137#120—531no—
1138#120—531no—
1139#120—534no—
1140#120—534no—
1141#120—532no—
1142#120—538no—
1143#120—538no—
1144#120—538no—
1145C4×Q8—534no—
1146C4×Q8—534no—
1147C4×Q8—534no—
1148C4×Q8—534no—
1149C4×Q8—534no—
1150C4×Q8—538no—
1151C4×Q8—534no—
1152C4×Q8—532no—
1153C4×Q8—532no—
1154C4×Q8—532no—
1155C4×Q8—532no—
1156C4×Q8—532no—
1157C4×Q8—538no—
1158C4×Q8—534no—
1159C4×Q8C22×D5314yes—
1160C4×Q8C22×D5314yes—
1161C4×Q8C22×D5312yes—
1162C4×Q8C22×D5314yes—
1163C4×Q8C22×D5318yes—
1164C4×Q8C22×D5314yes—
1165C4×Q8C22×D5314yes—
1166C4×D4—532no—
1167C4×D4—532no—
1168C4×D4—532no—
1169C4×D4—532no—
1170C4×D4—532no—
1171C4×D4—532no—
1172C4×D4—532no—
1173C4×D4—532no—
1174C4×D4—532no—
1175C4×D4—532no—
1176C4×D4—538no—
1177C4×D4—538no—
1178C4×D4—534no—
1179C4×D4—534no—
1180C4×D4—538no—
1181C4×D4—538no—
1182C4×D4—534no—
1183C4×D4—534no—
1184C4×D4—538no—
1185C4×D4—534no—
1186C4×D4—534no—
1187C4×D4—538no—
1188C4×D4—538no—
1189C4×D4—534no—
1190C4×D4—534no—
1191C4×D4—538no—
1192C4×D4—538no—
1193C4×D4—534no—
1194C4×D4—538no—
1195C4×D4—532no—
1196C4×D4—532no—
1197C4×D4—532no—
1198C4×D4—532no—
1199C4×D4—538no—
1200C4×D4—534no—
1201C4×D4—532no—
1202C4×D4—538no—
1203C4×D4—538no—
1204C4×D4—534no—
1205C4×D4—538no—
1206C4×D4—538no—
1207C4×D4—534no—
1208C4×D4C22×D5312yes—
1209C4×D4C22×D5312yes—
1210C4×D4C22×D5312yes—
1211#117—532no—
1212#117—532no—
1213#117—531no—
1214#117—532no—
1215#117—534no—
1216#117—534no—
1217#117—538no—
1218#117—538no—
1219#117—538no—
1220#117—534no—
1221#117—538no—
1222#117—532no—
1223#117—532no—
1224#117—532no—
1225#117—532no—
1226#117—532no—
1227#117—538no—
1228#117—538no—
1229#117—538no—
1230#117—538no—
1231#117C22×D5314yes—
1232#117C22×D5311yescharacteristic
1233#117C22×D5311yescharacteristic
1234#117C22×D5311yescharacteristic
1235#117C22×D5314yes—
1236#117C22×D5318yes—
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⋊C4C22×D5314yes—
1244C2×C22⋊C4—538no—
1245C2×C22⋊C4—538no—
1246C2×C22⋊C4—538no—
1247C2×C42—532no—
1248C2×C42—531no—
1249C2×C42—538no—
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—534no—
1259C24—531no—
1260#41—42no—
1261#41—2122no—
1262#41—2124no—
1263#41—2124no—
1264#41—2128no—
1265#41—2128no—
1266#41—2128no—
1267#41—2128no—
1268#41—2128no—
1269#41—2128no—
1270C2×Q8—44no—
1271C2×Q8—534no—
1272C2×Q8—532no—
1273C2×Q8—531no—
1274C2×Q8—538no—
1275C2×Q8—532no—
1276C2×Q8—2128no—
1277C2×Q8C23×D5314yes—
1278C2×Q8C23×D5314yes—
1279C2×Q8C23×D5314yes—
1280C2×Q8C23×D5311yescharacteristic
1281C2×D4—532no—
1282C2×D4—532no—
1283C2×D4—538no—
1284C2×D4—532no—
1285C2×D4—532no—
1286C2×D4—538no—
1287C2×D4—532no—
1288C2×D4—534no—
1289C2×D4—534no—
1290C2×D4—534no—
1291C2×D4—538no—
1292C2×D4—538no—
1293C2×D4—532no—
1294C2×D4—538no—
1295C2×D4—538no—
1296C2×D4—532no—
1297C2×D4—531no—
1298C2×D4—534no—
1299C2×D4—538no—
1300C2×D4—2124no—
1301C2×D4—2128no—
1302C2×D4C23×D5311yescharacteristic
1303C2×D4C23×D5311yescharacteristic
1304C2×D4C23×D5311yescharacteristic
1305C22×C4—531no—
1306C22×C4—532no—
1307C22×C4—532no—
1308C22×C4—532no—
1309C22×C4—532no—
1310C22×C4—532no—
1311C22×C4—532no—
1312C22×C4—532no—
1313C22×C4—532no—
1314C22×C4—532no—
1315C22×C4—532no—
1316C22×C4—538no—
1317C22×C4—538no—
1318C22×C4—538no—
1319C22×C4—538no—
1320C22×C4—538no—
1321C22×C4—538no—
1322C22×C4—538no—
1323C22×C4—2122no—
1324C22×C4—2124no—
1325C22×C4C23×D5311yescharacteristic
1326C22×C4C23×D5312yes—
1327C22×C4C23×D5312yes—
1328C22×C4C23×D5311yescharacteristic
1329C22×C4C23×D5312yes—
1330C22×C4C23×D5311yescharacteristic
1331C22×C4C23×D5314yes—
1332C4⋊C4—532no—
1333C4⋊C4—532no—
1334C4⋊C4—532no—
1335C4⋊C4—538no—
1336C4⋊C4—538no—
1337C4⋊C4—534no—
1338C4⋊C4—534no—
1339C4⋊C4—538no—
1340C4⋊C4—538no—
1341C4⋊C4—538no—
1342C4⋊C4—538no—
1343C4⋊C4—532no—
1344C4⋊C4—532no—
1345C4⋊C4—532no—
1346C4⋊C4—532no—
1347C4⋊C4—532no—
1348C4⋊C4—532no—
1349C4⋊C4—532no—
1350C4⋊C4—532no—
1351C4⋊C4—532no—
1352C4⋊C4—532no—
1353C4⋊C4—538no—
1354C4⋊C4—538no—
1355C4⋊C4—532no—
1356C4⋊C4—532no—
1357C4⋊C4—538no—
1358C4⋊C4C23×D5318yes—
1359C4⋊C4C23×D5314yes—
1360C4⋊C4C23×D5318yes—
1361C4⋊C4C23×D5314yes—
1362C4⋊C4C23×D5318yes—
1363C4⋊C4C23×D5314yes—
1364C4⋊C4C23×D5314yes—
1365C4⋊C4C23×D5318yes—
1366C4⋊C4C23×D5318yes—
1367C4⋊C4C23×D5312yes—
1368C4⋊C4C23×D5312yes—
1369C4⋊C4C23×D5312yes—
1370C4⋊C4C23×D5318yes—
1371C22⋊C4—532no—
1372C22⋊C4—532no—
1373C22⋊C4—534no—
1374C22⋊C4—532no—
1375C22⋊C4—532no—
1376C22⋊C4—531no—
1377C22⋊C4—531no—
1378C22⋊C4—538no—
1379C22⋊C4—538no—
1380C22⋊C4—538no—
1381C22⋊C4—538no—
1382C22⋊C4—538no—
1383C22⋊C4—538no—
1384C22⋊C4—532no—
1385C22⋊C4—532no—
1386C22⋊C4—538no—
1387C22⋊C4—532no—
1388C22⋊C4—532no—
1389C22⋊C4—532no—
1390C22⋊C4—532no—
1391C22⋊C4—532no—
1392C22⋊C4—532no—
1393C22⋊C4—538no—
1394C22⋊C4—538no—
1395C22⋊C4—538no—
1396C22⋊C4—538no—
1397C22⋊C4—538no—
1398C22⋊C4—538no—
1399C22⋊C4—538no—
1400C22⋊C4—538no—
1401C22⋊C4—532no—
1402C22⋊C4—532no—
1403C22⋊C4C23×D5312yes—
1404C22⋊C4C23×D5318yes—
1405C22⋊C4C23×D5312yes—
1406C22⋊C4C23×D5314yes—
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—532no—
1419C42—532no—
1420C42—532no—
1421C42—538no—
1422C42—534no—
1423C42C23×D5311yescharacteristic
1424C42C23×D5311yescharacteristic
1425C42C23×D5312yes—
1426C42C23×D5318yes—
1427C42C23×D5312yes—
1428C42C23×D5312yes—
1429C42C23×D5311yescharacteristic
1430C42C23×D5311yescharacteristic
1431C42C23×D5314yes—
1432C42C23×D5318yes—
1433C23—532no—
1434C23—538no—
1435C23—532no—
1436C23—2124no—
1437C23—2128no—
1438C23—2121no—
1439C23—2122no—
1440C23C24×D5311yescharacteristic
1441C23C24×D5311yescharacteristic
1442C23C24×D5311yescharacteristic
1443Q8—28no—
1444Q8—28no—
1445Q8—44no—
1446Q8—41no—
1447Q8—1068no—
1448Q8—2128no—
1449Q8—2121no—
1450Q8—2122no—
1451Q8—2122no—
1452D4—41no—
1453D4—41no—
1454D4—41no—
1455D4—1068no—
1456D4—1068no—
1457D4—1068no—
1458D4—2124no—
1459D4—2128no—
1460D4—2121no—
1461D4—2128no—
1462D4—2128no—
1463D4—2122no—
1464D4—2122no—
1465D4—2128no—
1466D4—2128no—
1467D4—2122no—
1468D4—2122no—
1469D4—2122no—
1470D4—2122no—
1471D4—2122no—
1472D4—2128no—
1473D4—2128no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—24no—
1479C2×C4—24no—
1480C2×C4—44no—
1481C2×C4—532no—
1482C2×C4—532no—
1483C2×C4—532no—
1484C2×C4—532no—
1485C2×C4—538no—
1486C2×C4—532no—
1487C2×C4—532no—
1488C2×C4—1064no—
1489C2×C4—1064no—
1490C2×C4—1064no—
1491C2×C4—1064no—
1492C2×C4—1064no—
1493C2×C4—1064no—
1494C2×C4—2122no—
1495C2×C4—2122no—
1496C2×C4—2122no—
1497C2×C4—2128no—
1498C2×C4—2128no—
1499C2×C4—2128no—
1500C2×C4—2128no—
1501C2×C4—2128no—
1502C2×C4—2128no—
1503C2×C4—2128no—
1504C2×C4—2121no—
1505C2×C4—2122no—
1506C2×C4C24×D5311yescharacteristic
1507C2×C4C24×D5312yes—
1508C2×C4C24×D5311yescharacteristic
1509C2×C4C24×D5318yes—
1510C2×C4C24×D5318yes—
1511C2×C4C24×D5311yescharacteristic
1512C2×C4C24×D5312yes—
1513C2×C4C24×D5312yes—
1514C2×C4C24×D5311yescharacteristic
1515C2×C4C24×D5312yes—
1516C22—21no—
1517C22—21no—
1518C22—21no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—8484no—
1523C22—1062no—
1524C22—1062no—
1525C22—1068no—
1526C22—1062no—
1527C22—1062no—
1528C22—1062no—
1529C22—1062no—
1530C22—1068no—
1531C22—1068no—
1532C22—2124no—
1533C22C25×D5311yescharacteristic
1534C4—21no—
1535C4—21no—
1536C4—21no—
1537C4—28no—
1538C4—22no—
1539C4—22no—
1540C4—22no—
1541C4—28no—
1542C4—1062no—
1543C4—1062no—
1544C4—1062no—
1545C4—1062no—
1546C4—1062no—
1547C4—1062no—
1548C4—1068no—
1549C4#1681145912yes—
1550C4#1681146014yes—
1551C2—41no—
1552C2—41no—
1553C2—41no—
1554C2—2128no—
1555C2—2122no—
1556C2—2122no—
1557C2C2×#1681145911yescharacteristic
1558C2C2×#1681146012yes—
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3509C2
hypercenter#3509D53
hypocenterC53#62839
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3509

Complements

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

NH ≅ G/Ntype
1. #20289223C2semidirect
2. #20289222C2semidirect
3. #20289144C2semidirect
4. #20289143C2semidirect
5. #20288992C2semidirect
6. #20288991C2semidirect
7. #20288977C2semidirect
8. #20288976C2semidirect
9. #20288827C2semidirect
10. #20288826C2semidirect
11. #20288821C2semidirect
12. #20288790C2semidirect
13. #20288789C2semidirect
14. #20288788C2semidirect
15. #20288628C2semidirect
16. #20288627C2semidirect
17. #20288627C2semidirect
18. #20288594C2semidirect
19. #20288592C2semidirect
20. #20288591C2semidirect
21. #20288012C2semidirect
22. #20288008C2semidirect
23. C53×#3509C2semidirect
24. #16811377C22semidirect
25. #16811372C22semidirect
27. #16811364C22semidirect
28. #16811363C22semidirect
29. #16811363C22semidirect
30. #16811358C22semidirect
31. #16811358C22semidirect
32. #16811358C22semidirect
33. #16811358C22semidirect
34. #16811357C22semidirect
35. #16811350C22semidirect
36. #16811349C22semidirect
37. #16811347C22semidirect
38. #16811345C22semidirect
39. #16811345C22semidirect
42. #16811339C22semidirect
43. #16811339C22semidirect
44. #16811336C22semidirect
45. #16811336C22semidirect
46. #16811336C22semidirect
47. #16811334C22semidirect
48. #16811329C22semidirect
49. #16811329C22semidirect
50. #16811326C22semidirect
51. #16811326C22semidirect
52. #16811326C22semidirect
53. #16811324C22semidirect
54. #16811321C22semidirect
55. #16811321C22semidirect
56. #16811317C22semidirect
57. #16811317C22semidirect
58. #16811317C22semidirect
59. #16811314C22semidirect
60. #16811314C22semidirect
61. #16811312C22semidirect
62. #16811311C22semidirect
63. #16811311C22semidirect
64. #16811307C22semidirect
65. #16811305C22semidirect
67. #16811301C22semidirect
69. #16811298C22semidirect
73. #16811285C22semidirect
74. #16811285C22semidirect
75. #16811284C22semidirect
76. #16811284C22semidirect
77. #16811283C22semidirect
78. #16811283C22semidirect
79. #16811276C22semidirect
80. #16811275C22semidirect
81. #16811275C22semidirect
83. #16811269C22semidirect
86. #16811264C22semidirect
87. #16811264C22semidirect
88. #16811247C22semidirect
89. #16811247C22semidirect
90. #16811247C22semidirect
91. #16811246C22semidirect
92. #16811246C22semidirect
93. #16811245C22semidirect
94. #16811245C22semidirect
95. #16811245C22semidirect
96. #16811239C22semidirect
97. #16811233C22semidirect
98. #16811231C22semidirect
100. #16811229C22semidirect
101. #16811229C22semidirect
103. #16811228C22semidirect
104. #16811228C22semidirect
105. #16811225C22semidirect
106. #16811221C22semidirect
107. #16811221C22semidirect
108. #16811214C22semidirect
112. #16811204C22semidirect
113. #16811203C22semidirect
114. #16811203C22semidirect
118. #16811180C22semidirect
119. #16811178C22semidirect
120. #16811178C22semidirect
121. #16811178C22semidirect
122. #16811177C22semidirect
123. #16811176C22semidirect
126. #16811174C22semidirect
127. #16811174C22semidirect
129. #16811173C22semidirect
132. C4⋊Q8×D53C22semidirect
133. C2×#13133214C22semidirect
134. #16811160C22semidirect
135. #16811160C22semidirect
136. #16811160C22semidirect
137. #16811160C22semidirect
138. #16811159C22semidirect
139. #16811159C22semidirect
140. #16811158C22semidirect
141. #16811158C22semidirect
142. #16811158C22semidirect
145. #16811153C22semidirect
147. #16811151C22semidirect
148. #16811151C22semidirect
149. #126×D53C22semidirect
150. #16811136C22semidirect
151. #16811136C22semidirect
152. #16811135C22semidirect
153. #16811135C22semidirect
155. #16811132C22semidirect
157. #16811105C22semidirect
158. #16811105C22semidirect
159. #16811104C22semidirect
160. #16811099C22semidirect
161. #16811097C22semidirect
162. #16811097C22semidirect
163. C4×#11719949C22semidirect
164. C4×#11719949C22semidirect
166. C4×#11719945C22semidirect
167. C4×#11719945C22semidirect
168. #16811091C22semidirect
169. C2×C42×D53C22semidirect
170. C53×#557C22semidirect
172. C53×#552C22semidirect
173. C53×#552C22semidirect
174. C53×#541C22semidirect
175. C53×#541C22semidirect
177. C53×#533C22semidirect
178. C53×#533C22semidirect
179. C53×#533C22semidirect
180. C2×C4⋊Q8×C53C22semidirect
181. C53×#519C22semidirect
790. #3509D53semidirect
816. #557C2×D53semidirect
847. #552C2×D53semidirect
848. #552C2×D53semidirect
882. #541C2×D53semidirect
883. #541C2×D53semidirect
910. #533C2×D53semidirect
911. #533C2×D53semidirect
912. #533C2×D53semidirect
922. C2×C4⋊Q8C2×D53semidirect
951. #519C2×D53semidirect
962. C53#62839semidirect

Maximal subgroups

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

subgroupindex
#202892232
#202892222
#202891442
#202891432
#202889922
#202889912
#202889772
#202889762
#202888272
#202888262
#202888212
#202887902
#202887892
#202887882
#202886282
#202886272
#202885942
#202885922
#202885912
#202880122
#202880082
C53×#35092
#6283953