Finite Group Databasebeta

← #28293179

Subgroups — #28293179

Order 13568.

6846 conjugacy classes of subgroups.

The subgroup lattice has 1516 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288821C214yesmaximal, complemented
2#20288819C214yesmaximal, complemented
3#20288808C214yesmaximal, complemented
4#20288804C214yesmaximal, complemented
5#20288729C214yesmaximal, complemented
6#20288725C214yesmaximal, complemented
7#20288705C214yesmaximal, complemented
8#20288703C214yesmaximal, complemented
9#20288580C211yesmaximal, characteristic, complemented
10#20288575C214yesmaximal, complemented
11#20288520C211yesmaximal, characteristic, complemented
12#20288481C211yesmaximal, characteristic, complemented
13#20288428C212yesmaximal, complemented
14#20288427C214yesmaximal, complemented
15#20288364C212yesmaximal, complemented
16#20288144C214yesmaximal, complemented
17#20288139C212yesmaximal, complemented
18#20288107C211yesmaximal, characteristic, complemented
19#20288104C211yesmaximal, characteristic, complemented
20#20288101C214yesmaximal, complemented
21#20287926C212yesmaximal, complemented
22C2×#16811099C211yesmaximal, characteristic, complemented
23C53×#3507C211yesmaximal, characteristic, complemented
24C2×#13133264C2212yes—
25C22×Q8×D53C2211yescharacteristic
26#16811358C2212yescomplemented
27#16811357C2218yescomplemented
28Q8×Dic106C2212yescomplemented
29#16811353C2212yescomplemented
30#16811351C2214yescomplemented
31#16811351C2212yescomplemented
32#16811351C2212yescomplemented
33#16811350C2214yescomplemented
34#16811350C2218yescomplemented
35#16811348C2212yescomplemented
36#16811346C2214yes—
37#16811346C2212yescomplemented
38#16811345C2218yes—
39#16811345C2214yescomplemented
40#16811344C2218yescomplemented
41#16811341C2214yes—
42#16811340C2218yes—
43#16811340C2218yescomplemented
44#16811340C2218yescomplemented
45#16811338C2214yes—
46#16811336C2218yes—
47#16811336C2214yes—
48#16811335C2218yes—
49#16811333C2212yescomplemented
50#16811327C2218yescomplemented
51#16811324C2218yes—
52#16811323C2214yes—
53#16811322C2218yes—
54#16811321C2214yes—
55#16811314C2214yes—
56#16811314C2214yescomplemented
57#16811310C2218yescomplemented
58#16811308C2214yes—
59#16811306C2218yes—
60#16811305C2218yes—
61#16811305C2218yescomplemented
62#16811294C2212yescomplemented
63#16811293C2212yescomplemented
64D4×Dic106C2212yescomplemented
65#16811288C2214yes—
66#16811288C2214yes—
67#16811288C2212yescomplemented
68#16811286C2214yes—
69#16811286C2214yes—
70#16811283C2214yes—
71#16811283C2214yes—
72#16811282C2214yescomplemented
73#16811281C2214yes—
74#16811281C2214yes—
75#16811281C2214yescomplemented
76#16811252C2214yes—
77#16811251C2212yes—
78#16811247C2212yes—
79#16811247C2212yes—
80#16811246C2214yescomplemented
81#16811243C2218yes—
82#16811242C2212yes—
83#16811242C2212yes—
84#16811242C2214yescomplemented
85#16811239C2218yes—
86#16811239C2218yescomplemented
87#16811237C2218yescomplemented
88#16811236C2212yes—
89#16811234C2212yes—
90#16811234C2214yescomplemented
91#16811233C2214yescomplemented
92#16811232C2218yes—
93#16811232C2218yescomplemented
94#16811230C2218yescomplemented
95#16811229C2212yes—
96#16811227C2212yes—
97#16811225C2218yes—
98#16811222C2212yes—
99#16811222C2212yes—
100#16811220C2214yes—
101#16811218C2212yes—
102#16811218C2212yes—
103#16811217C2218yes—
104#16811213C2212yes—
105#16811213C2212yes—
106#16811210C2212yes—
107#16811210C2212yes—
108#16811206C2218yes—
109#16811201C2212yes—
110#16811200C2214yes—
111#16811197C2212yes—
112#16811195C2218yes—
113#16811180C2211yescharacteristic
114#16811178C2214yescomplemented
115#16811177C2218yescomplemented
116#16811176C2218yescomplemented
117#16811175C2214yes—
118#16811175C2214yescomplemented
119#16811173C2211yescharacteristic
120#16811168C2214yes—
121#16811160C2214yes—
122#16811160C2214yes—
123#16811159C2218yes—
124#16811159C2214yescomplemented
125#16811158C2218yes—
126#16811157C2214yes—
127#16811156C2218yes—
128#16811153C2214yes—
129#16811153C2218yes—
130#16811153C2214yes—
131#16811153C2218yescomplemented
132#16811152C2214yescomplemented
133#16811151C2218yescomplemented
134#16811150C2218yes—
135#16811150C2218yes—
136#16811135C2212yes—
137#16811131C2218yes—
138#16811130C2212yes—
139#16811104C2212yes—
140#16811104C2214yescomplemented
141#16811102C2218yes—
142#16811102C2214yescomplemented
143#16811100C2212yes—
144#16811100C2214yescomplemented
145#16811099C2214yes—
146#16811099C2214yes—
147#16811099C2214yes—
148#16811099C2214yes—
149#16811099C2214yescomplemented
150#41×Dic53C2212yes—
151#16811091C2212yes—
152#16811091C2214yescomplemented
153C4×#11719947C2218yes—
154C4×#11719947C2214yescomplemented
155C2×Q8×Dic53C2211yescharacteristic
156C2×C4×Dic106C2211yescharacteristic
157C2×C4×Dic106C2212yes—
158C2×#13133182C2212yes—
159C2×#13133182C2211yescharacteristic
160C2×#13133182C2214yescomplemented
161C4×Q8×D53C2214yescomplemented
162C2×#13133175C2212yes—
163C2×#13133175C2211yescharacteristic
164C2×#13133174C2211yescharacteristic
165C2×#13133174C2212yes—
166C53×#559C2212yescomplemented
167C53×#557C2212yescomplemented
168C53×#556C2214yescomplemented
169C53×#556C2212yescomplemented
170C53×#554C2212yescomplemented
171C53×#552C2214yescomplemented
172C53×#539C2214yes—
173C53×#536C2212yes—
174C53×#533C2211yescharacteristic
175C53×#532C2211yescharacteristic
176C53×#529C2214yes—
177C53×#520C2212yes—
178C2×C4×Q8×C53C2211yescharacteristic
179#13133264—216no—
180C2×#11719945C2314yes—
181C2×#11719945C2312yes—
182C2×#11719947C2314yes—
183C2×#11719947C2318yes—
184C22×Dic106C2314yes—
185C22×Dic106C2312yes—
186C22×Dic106C2311yescharacteristic
187C2×Q8×D53—28no—
188C2×Q8×D53C2314yes—
189C2×Q8×D53C2314yes—
190C2×Q8×D53C2314yes—
191C22×C4×D53C2311yescharacteristic
192C22×C4×D53C2312yes—
193#13133217C2311yescharacteristic
194#13133217C2311yescharacteristic
195#13133217C2314yes—
196#13133217C2311yescharacteristic
197#13133216C2318yes—
198#13133216C2318yes—
199#13133216C2314yes—
200#13133216C2318yes—
201#13133216C2314yes—
202#13133216C2314yes—
203#13133215C2314yes—
204#13133215C2314yes—
205#13133215C2318yes—
206#13133214C2311yescharacteristic
207#13133213C2314yes—
208#13133212C2314yes—
209#13133212C2318yes—
210#13133212C2318yes—
211#13133212C2318yes—
212#13133212C2314yes—
213#13133212C2314yes—
214#13133212C2318yes—
215#13133212C2314yes—
216#13133212C2318yes—
217#13133212C2314yes—
218#13133212C2314yes—
219#13133211C2318yes—
220#13133211C2318yes—
221#13133210C2318yes—
222#13133210C2318yes—
223#13133210C2314yes—
224#13133210C2318yes—
225#13133210C2314yes—
226#13133209C2314yes—
227#13133209C2314yes—
228#13133209C2312yes—
229#13133208C2314yes—
230#13133208C2314yes—
231#13133208C2318yes—
232#13133208C2314yes—
233#13133207C2318yes—
234#13133207C2318yes—
235#13133207C2314yes—
236#13133207C2318yes—
237#13133207C2318yes—
238#13133207C2318yes—
239#13133207C2318yes—
240#13133207C2314yes—
241#13133207C2318yes—
242#13133206C2314yes—
243#13133206C2314yes—
244#13133206C2314yes—
245#13133205C2312yes—
246#13133205C2318yes—
247#13133205C2314yes—
248#13133203C2318yes—
249#13133203C2318yes—
250#13133203C2318yes—
251#13133203C2318yes—
252#13133203C2318yes—
253#13133203C2314yes—
254#13133203C2318yes—
255#13133203C2314yes—
256#13133202C2314yes—
257#13133202C2318yes—
258#13133202C2314yes—
259#13133202C2318yes—
260#13133202C2314yes—
261#13133202C2314yes—
262#13133201C2314yes—
263#13133201C2314yes—
264#13133201C2314yes—
265#13133201C2318yes—
266#13133200C2318yes—
267#13133200C2318yes—
268#13133199C2318yes—
269#13133198C2314yes—
270#13133198C2314yes—
271#13133198C2314yes—
272#13133197C2312yes—
273#13133197C2312yes—
274#13133197C2318yes—
275#13133196C2314yes—
276#13133196C2312yes—
277#13133196C2312yes—
278#13133195C2318yes—
279#13133195C2318yes—
280#13133195C2318yes—
281#13133195C2318yes—
282#13133195C2318yes—
283#13133195C2318yes—
284#13133194C2318yes—
285#13133194C2318yes—
286#13133194C2318yes—
287#13133194C2314yes—
288#13133194C2318yes—
289#13133194C2318yes—
290#13133194C2314yes—
291#13133193C2314yes—
292#13133193C2314yes—
293#13133193C2314yes—
294#13133193C2312yes—
295#13133193C2312yes—
296#13133193C2314yes—
297#13133193C2314yes—
298#13133192C2312yes—
299#13133192C2312yes—
300#13133192C2314yes—
301#13133192C2314yes—
302#13133191C2314yes—
303#13133191C2318yes—
304#13133191C2312yes—
305#13133191C2312yes—
306#13133190C2318yes—
307#13133190C2318yes—
308#13133190C2318yes—
309#13133190C2318yes—
310#13133189C2318yes—
311#13133189C2314yes—
312#13133189C2314yes—
313#13133189C2318yes—
314#13133188C2312yes—
315#13133188C2312yes—
316#13133188C2314yes—
317#13133187C2314yes—
318#13133185C2314yes—
319Q8×Dic53C2312yes—
320Q8×Dic53C2314yes—
321Q8×Dic53C2314yes—
322Q8×Dic53C2314yes—
323Q8×Dic53C2312yes—
324C4×Dic106C2314yes—
325C4×Dic106C2314yes—
326C4×Dic106C2312yes—
327C4×Dic106C2312yes—
328C4×Dic106C2312yes—
329C4×Dic106C2312yes—
330C4×Dic106C2318yes—
331C4×Dic106C2314yes—
332C4×Dic106C2318yes—
333C4×Dic106C2318yes—
334C4×Dic106C2318yes—
335C4×Dic106C2312yes—
336C4×Dic106C2318yes—
337C4×Dic106C2312yes—
338#13133182C2314yes—
339#13133182C2314yes—
340#13133182C2318yes—
341#13133182C2318yes—
342#13133182C2314yes—
343#13133182C2318yes—
344#13133182C2318yes—
345#13133182C2314yes—
346#13133182C2314yes—
347#13133182C2318yes—
348#13133182C2314yes—
349#13133182C2312yes—
350#13133182C2312yes—
351#13133182C2318yes—
352C4×D212C2314yes—
353C4×D212C2314yes—
354C4×D212C2312yes—
355C4×D212C2312yes—
356C4×D212C2314yes—
357D4×Dic53C2314yes—
358D4×Dic53C2314yes—
359D4×Dic53C2312yes—
360D4×Dic53C2314yes—
361D4×Dic53C2312yes—
362#13133179C2318yes—
363#13133179C2318yes—
364#13133179C2314yes—
365#13133179C2314yes—
366#13133179C2312yes—
367#13133179C2312yes—
368C4×C22⋊D53C2314yes—
369C4×C22⋊D53C2314yes—
370C4×C22⋊D53C2318yes—
371C4×C22⋊D53C2318yes—
372C4×C22⋊D53C2318yes—
373C4×C22⋊D53C2318yes—
374#13133177C2318yes—
375#13133177C2318yes—
376#13133177C2318yes—
377#13133177C2318yes—
378#13133177C2318yes—
379#13133177C2314yes—
380#13133177C2318yes—
381#13133177C2314yes—
382#13133176C2318yes—
383#13133176C2312yes—
384#13133176C2314yes—
385#13133175C2318yes—
386#13133175C2314yes—
387#13133175C2314yes—
388#13133175C2314yes—
389#13133175C2318yes—
390#13133175C2318yes—
391#13133175C2318yes—
392#13133174C2318yes—
393#13133174C2318yes—
394#13133174C2318yes—
395#13133174C2318yes—
396#13133174C2318yes—
397#13133174C2312yes—
398#13133174C2312yes—
399#13133174C2312yes—
400#13133174C2312yes—
401#13133174C2314yes—
402#13133173C2318yes—
403#13133173C2318yes—
404#13133173C2318yes—
405#13133173C2318yes—
406C2×C4⋊Dic53C2311yescharacteristic
407C2×C4⋊Dic53C2312yes—
408C2×#11719919C2318yes—
409C2×#11719919C2312yes—
410C2×#11719919C2311yescharacteristic
411C2×#11719919C2312yes—
412C2×#11719919C2311yescharacteristic
413C4⋊C4×D53C2318yes—
414C4⋊C4×D53C2314yes—
415C2×#11719921C2311yescharacteristic
416C2×#11719921C2312yes—
417C2×#11719921C2311yescharacteristic
418C2×C4×Dic53C2311yescharacteristic
419C2×C4×Dic53C2312yes—
420C2×C4×Dic53C2312yes—
421C2×C4×Dic53C2312yes—
422C2×C4×Dic53C2312yes—
423C2×C4×Dic53C2318yes—
424C2×C4×Dic53C2314yes—
425C42×D53C2318yes—
426C42×D53C2314yes—
427C2×#41×C53C2312yes—
428C22×Q8×C53C2311yescharacteristic
429C4⋊Q8×C53C2314yes—
430C4⋊Q8×C53C2311yescharacteristic
431C4⋊Q8×C53C2311yescharacteristic
432C4⋊Q8×C53C2311yescharacteristic
433#127×C53C2311yescharacteristic
434#126×C53C2318yes—
435#126×C53C2318yes—
436#125×C53C2314yes—
437#125×C53C2318yes—
438#125×C53C2312yes—
439#124×C53C2314yes—
440#124×C53C2312yes—
441#124×C53C2314yes—
442#123×C53C2318yes—
443#123×C53C2318yes—
444C22⋊Q8×C53C2314yes—
445C22⋊Q8×C53C2314yes—
446C22⋊Q8×C53C2312yes—
447C22⋊Q8×C53C2312yes—
448C22⋊Q8×C53C2318yes—
449#121×C53C2312yes—
450#121×C53C2312yes—
451C4×Q8×C53C2312yes—
452C4×Q8×C53C2312yes—
453C4×Q8×C53C2312yes—
454C4×Q8×C53C2312yes—
455C4×Q8×C53C2314yes—
456C4×Q8×C53C2314yes—
457C4×Q8×C53C2312yes—
458C4×Q8×C53C2312yes—
459C4×D4×C53C2312yes—
460C4×D4×C53C2312yes—
461C4×D4×C53C2318yes—
462C4×D4×C53C2314yes—
463C4×D4×C53C2314yes—
464#117×C53C2312yes—
465#117×C53C2314yes—
466#117×C53C2318yes—
467C2×C4⋊C4×C53C2311yescharacteristic
468C2×C4⋊C4×C53C2312yes—
469C2×C4⋊C4×C53C2314yes—
470C2×C42×C53C2312yes—
471C2×C42×C53C2311yescharacteristic
472C23×D53C2411yescharacteristic
473#41×C53—28no—
474C2×Q8×C53—24no—
475C2×Q8×C53C2412yes—
476C2×Q8×C53C2412yes—
477C2×Q8×C53C2412yes—
478C2×Q8×C53C2412yes—
479C2×Q8×C53C2412yes—
480C2×D4×C53C2414yes—
481C2×D4×C53C2412yes—
482C2×D4×C53C2412yes—
483C2×D4×C53C2412yes—
484C22×C4×C53C2412yes—
485C22×C4×C53C2414yes—
486C22×C4×C53C2411yescharacteristic
487C22×C4×C53C2412yes—
488C22×C4×C53C2411yescharacteristic
489C22×C4×C53C2418yes—
490C22×C4×C53C2411yescharacteristic
491C2×C22⋊D53C2414yes—
492C2×C22⋊D53C2418yes—
493C2×C22⋊D53C2414yes—
494C2×C22⋊D53C2414yes—
495C2×C22⋊D53C2418yes—
496C22×Dic53C2411yescharacteristic
497C22×Dic53C2418yes—
498C22×Dic53C2411yescharacteristic
499C22×Dic53C2411yescharacteristic
500C22×Dic53C2412yes—
501C22×Dic53C2414yes—
502C22×Dic53C2414yes—
503C22×Dic53C2412yes—
504Q8×D53—216no—
505Q8×D53—216no—
506Q8×D53—216no—
507#11719947—232no—
508#11719947—216no—
509#11719945—28no—
510#11719945—216no—
511C2×D212C2412yes—
512C2×D212C2414yes—
513C2×D212C2414yes—
514C2×D212C2412yes—
515C2×D212C2412yes—
516C2×C4×D53—24no—
517C2×C4×D53—28no—
518C2×C4×D53C2418yes—
519C2×C4×D53C2414yes—
520C2×C4×D53C2418yes—
521C2×C4×D53C2412yes—
522C2×C4×D53C2412yes—
523C2×C4×D53C2414yes—
524C2×C4×D53C2418yes—
525C2×C4×D53C2414yes—
526C2×Dic106—28no—
527C2×Dic106—216no—
528C2×Dic106#4118yes—
529C2×Dic106C2412yes—
530C2×Dic106C2418yes—
531C2×Dic106C2418yes—
532C2×Dic106C2412yes—
533C2×Dic106C2418yes—
534C2×Dic106C2412yes—
535C2×Dic106C2412yes—
536C2×Dic106C2412yes—
537C4⋊C4×C53C2412yes—
538C4⋊C4×C53C2412yes—
539C4⋊C4×C53C2412yes—
540C4⋊C4×C53C2418yes—
541C4⋊C4×C53C2414yes—
542C4⋊C4×C53C2414yes—
543C4⋊C4×C53C2412yes—
544C4⋊C4×C53C2414yes—
545C4⋊C4×C53C2418yes—
546C4⋊C4×C53C2412yes—
547C4⋊C4×C53C2412yes—
548C4⋊C4×C53C2412yes—
549C4⋊C4×C53C2414yes—
550C4⋊C4×C53C2418yes—
551C4⋊C4×C53C2412yes—
552C22⋊C4×C53C2414yes—
553C22⋊C4×C53C2414yes—
554C22⋊C4×C53C2418yes—
555C22⋊C4×C53C2418yes—
556C22⋊C4×C53C2414yes—
557C22⋊C4×C53C2418yes—
558C42×C53C2414yes—
559C42×C53C2411yescharacteristic
560C42×C53C2411yescharacteristic
561C42×C53C2414yes—
562C42×C53C2411yescharacteristic
563C42×C53C2411yescharacteristic
564C42×C53C2418yes—
565C42×C53C2414yes—
566C22⋊Dic53C2414yes—
567C22⋊Dic53C2414yes—
568C22⋊Dic53C2414yes—
569C22⋊Dic53C2418yes—
570C22⋊Dic53C2414yes—
571C22⋊Dic53C2414yes—
572#11719921C2412yes—
573#11719921C2412yes—
574#11719921C2412yes—
575#11719921C2418yes—
576#11719921C2412yes—
577#11719921C2414yes—
578#11719921C2414yes—
579#11719921C2414yes—
580#11719921C2418yes—
581#11719921C2414yes—
582#11719921C2418yes—
583#11719921C2418yes—
584#11719921C2414yes—
585#11719921C2414yes—
586#11719921C2414yes—
587#11719921C2418yes—
588#11719921C2414yes—
589#11719921C2414yes—
590#11719921C2414yes—
591C4⋊Dic53C2412yes—
592C4⋊Dic53C2414yes—
593C4⋊Dic53C2412yes—
594C4⋊Dic53C2412yes—
595C4⋊Dic53C2418yes—
596C4⋊Dic53C2412yes—
597C4⋊Dic53C2414yes—
598C4⋊Dic53C2418yes—
599C4⋊Dic53C2414yes—
600C4⋊Dic53C2412yes—
601C4⋊Dic53C2412yes—
602C4⋊Dic53C2412yes—
603C4⋊Dic53C2414yes—
604C4⋊Dic53C2412yes—
605#11719919C2418yes—
606#11719919C2418yes—
607#11719919C2418yes—
608#11719919C2414yes—
609#11719919C2412yes—
610#11719919C2412yes—
611#11719919C2414yes—
612#11719919C2414yes—
613#11719919C2412yes—
614#11719919C2412yes—
615#11719919C2418yes—
616#11719919C2414yes—
617#11719919C2418yes—
618#11719919C2418yes—
619#11719919C2414yes—
620#11719919C2414yes—
621#11719919C2418yes—
622#11719919C2418yes—
623#11719919C2418yes—
624#11719919C2414yes—
625#11719919C2414yes—
626C4×Dic53C2412yes—
627C4×Dic53C2414yes—
628C4×Dic53C2418yes—
629C4×Dic53C2414yes—
630C4×Dic53C2414yes—
631C4×Dic53C2418yes—
632C4×Dic53C2412yes—
633C4×Dic53C2418yes—
634C4×Dic53C2418yes—
635C4×Dic53C2418yes—
636C4×Dic53C2414yes—
637C4×Dic53C2418yes—
638C4×Dic53C2414yes—
639C4×Dic53C2414yes—
640C4×Dic53C2414yes—
641C23×C53C2514yes—
642C23×C53C2511yescharacteristic
643C22×D53—22no—
644C22×D53—41no—
645C22×D53—41no—
646C22×D53C2514yes—
647C22×D53C2512yes—
648Q8×C53—24no—
649Q8×C53—24no—
650Q8×C53—24no—
651Q8×C53—42no—
652Q8×C53—42no—
653D4×C53—28no—
654D4×C53—24no—
655D4×C53—42no—
656D4×C53—42no—
657C2×C4×C53—24no—
658C2×C4×C53—28no—
659C2×C4×C53—41no—
660C2×C4×C53—41no—
661C2×C4×C53—42no—
662C2×C4×C53—48no—
663C2×C4×C53C2×#4114yes—
664C2×C4×C53C2514yes—
665C2×C4×C53C2514yes—
666C2×C4×C53C2514yes—
667C2×C4×C53C2511yescharacteristic
668C2×C4×C53C2511yescharacteristic
669C2×C4×C53C2514yes—
670C2×C4×C53C2514yes—
671C2×C4×C53C2511yescharacteristic
672C2×C4×C53C2511yescharacteristic
673C2×C4×C53C2511yescharacteristic
674C2×C4×C53C2511yescharacteristic
675C22⋊D53—28no—
676C22⋊D53—216no—
677C22⋊D53—44no—
678C22⋊D53—48no—
679C22⋊D53—44no—
680C2×Dic53—22no—
681C2×Dic53—216no—
682C2×Dic53—44no—
683C2×Dic53—42no—
684C2×Dic53—44no—
685C2×Dic53—41no—
686C2×Dic53—41no—
687C2×Dic53C2×#4118yes—
688C2×Dic53C2512yes—
689C2×Dic53C2514yes—
690C2×Dic53C2514yes—
691C2×Dic53C2514yes—
692C2×Dic53C2514yes—
693C2×Dic53C2512yes—
694C2×Dic53C2512yes—
695C2×Dic53C2514yes—
696D212—24no—
697D212—44no—
698D212—42no—
699D212—44no—
700D212—42no—
701C4×D53—24no—
702C4×D53—24no—
703C4×D53—28no—
704C4×D53—216no—
705C4×D53—216no—
706C4×D53—48no—
707C4×D53—44no—
708C4×D53—44no—
709Dic106—24no—
710Dic106—216no—
711Dic106—216no—
712Dic106—42no—
713Dic106—48no—
714Dic106—42no—
715Dic106C2×#4118yes—
716Dic106C2×#4118yes—
717#62850—531nomaximal, Sylow
718C22×C53—21no—
719C22×C53—21no—
720C22×C53—24no—
721C22×C53—24no—
722C22×C53—24no—
723C22×C53C22×#4112yes—
724C22×C53C2611yescharacteristic
725C2×D53—22no—
726C2×D53—24no—
727C2×D53—24no—
728C2×D53—24no—
729C2×D53—22no—
730C2×D53—22no—
731C2×D53—44no—
732C4×C53—24no—
733C4×C53—24no—
734C4×C53—24no—
735C4×C53—21no—
736C4×C53—21no—
737C4×C53—24no—
738C4×C53—24no—
739C4×C53—21no—
740C4×C53—21no—
741C4×C53C22×#4112yes—
742C4×C53C22×#4112yes—
743Dic53—22no—
744Dic53—24no—
745Dic53—24no—
746Dic53—24no—
747Dic53—24no—
748Dic53—22no—
749Dic53—22no—
750Dic53C22×#4118yes—
751#3524—534no—
752#3524—534no—
753#3523—534no—
754#3523—534no—
755#3518—534no—
756#3518—534no—
757#3516—534no—
758#3516—534no—
759#3507—534no—
760#3507—531no—
761#3507D5311yescharacteristic, complemented
762#3502—531no—
763#3497—531no—
764#3493—534no—
765#3493—532no—
766#3486—532no—
767#3461—532no—
768#3461—534no—
769#3455—534no—
770#3455—531no—
771#3455—531no—
772C4×2−1+4—532no—
773C2×#519—531no—
774C2×C53—22no—
775C2×C53—44no—
776C2×C53C23×#4111yescharacteristic
777C2×C532−1+611yescharacteristic
778C2×C532−1+611yescharacteristic
779D53—44no—
780D53—42no—
781C2×2−1+4—532no—
782C23×Q8—531no—
783#559—538no—
784#559—532no—
785#559C2×D5312yescomplemented
786Q82—532no—
787Q82—532no—
788#557—532no—
789#557—534no—
790#557—538no—
791#557—532no—
792#557—534no—
793#557—532no—
794#557C2×D5312yescomplemented
795#556—538no—
796#556—538no—
797#556—538no—
798#556—538no—
799#556—538no—
800#556—534no—
801#556—534no—
802#556—532no—
803#556—534no—
804#556C2×D5314yescomplemented
805#556C2×D5312yescomplemented
806#555—538no—
807#555—534no—
808#555—534no—
809#555—538no—
810#554—538no—
811#554—532no—
812#554C2×D5312yescomplemented
813#553—538no—
814#553—538no—
815#553—534no—
816#553—534no—
817#552—538no—
818#552—538no—
819#552—538no—
820#552—534no—
821#552—534no—
822#552—538no—
823#552—534no—
824#552C2×D5314yescomplemented
825#550—532no—
826#550—532no—
827D4×Q8—534no—
828D4×Q8—534no—
829D4×Q8—532no—
830D4×Q8—534no—
831D4×Q8—534no—
832D4×Q8—532no—
833#548—534no—
834#548—534no—
835#548—534no—
836#548—534no—
837#548—534no—
838#548—534no—
839#544—534no—
840#544—532no—
841#542—532no—
842#542—532no—
843#542—538no—
844#542—538no—
845#542—532no—
846#542—532no—
847#542—538no—
848#542—534no—
849#542—538no—
850#542—534no—
851#541—532no—
852#541—534no—
853#541—538no—
854#541—538no—
855#541—532no—
856#541—538no—
857#541—534no—
858#540—532no—
859#540—532no—
860#540—538no—
861#539—538no—
862#539—532no—
863#539—532no—
864#539—532no—
865#539—532no—
866#539—534no—
867#539C2×D5314yes—
868#538—532no—
869#538—532no—
870#538—532no—
871#538—532no—
872#538—538no—
873#537—532no—
874#537—534no—
875#536—532no—
876#536—538no—
877#536C2×D5312yes—
878#533—534no—
879#533—534no—
880#533—534no—
881#533—538no—
882#533—538no—
883#533—531no—
884#533C2×D5311yescharacteristic
885#532—534no—
886#532—531no—
887#532C2×D5311yescharacteristic
888#529—538no—
889#529—538no—
890#529—534no—
891#529—538no—
892#529—538no—
893#529—538no—
894#529—534no—
895#529—534no—
896#529—534no—
897#529—534no—
898#529—534no—
899#529—538no—
900#529—538no—
901#529—538no—
902#529—534no—
903#529C2×D5314yes—
904#525—532no—
905#525—538no—
906#525—532no—
907#520—538no—
908#520—534no—
909#520—532no—
910#520—534no—
911#520C2×D5312yes—
912#519—534no—
913#519—534no—
914#519—534no—
915#519—534no—
916#519—534no—
917#519—532no—
918#519—534no—
919C4×#41—532no—
920C4×#41—538no—
921C4×#41—534no—
922C4×#41—532no—
923C4×#41—534no—
924C2×C4×Q8—531no—
925C2×C4×Q8—534no—
926C2×C4×Q8—531no—
927C2×C4×Q8—532no—
928C2×C4×Q8—534no—
929C2×C4×Q8—532no—
930C2×C4×Q8—531no—
931C2×C4×Q8C2×D5311yescharacteristic
932C2×#117—532no—
933C2×#117—531no—
934C2×#117—531no—
935C2×#117—532no—
936C53#6285011yescharacteristic, complemented, Sylow
9372−1+4—10616no—
938C2×#41—538no—
939C2×#41—534no—
940C2×#41—532no—
941C2×#41—534no—
942C2×#41C22×D5312yes—
943C22×Q8—534no—
944C22×Q8—534no—
945C22×Q8—534no—
946C22×Q8—531no—
947C22×Q8—532no—
948C22×Q8—534no—
949C22×Q8—1068no—
950C22×Q8C22×D5311yescharacteristic
951C23×C4—532no—
952C23×C4—531no—
953C4⋊Q8—534no—
954C4⋊Q8—534no—
955C4⋊Q8—538no—
956C4⋊Q8—534no—
957C4⋊Q8—538no—
958C4⋊Q8—538no—
959C4⋊Q8—534no—
960C4⋊Q8—538no—
961C4⋊Q8—534no—
962C4⋊Q8—531no—
963C4⋊Q8—531no—
964C4⋊Q8—531no—
965C4⋊Q8—534no—
966C4⋊Q8C22×D5311yescharacteristic
967C4⋊Q8C22×D5314yes—
968C4⋊Q8C22×D5311yescharacteristic
969C4⋊Q8C22×D5311yescharacteristic
970#127—534no—
971#127—531no—
972#127C22×D5311yescharacteristic
973#126—534no—
974#126—534no—
975#126—534no—
976#126—538no—
977#126—534no—
978#126—534no—
979#126—538no—
980#126—534no—
981#126—538no—
982#126—538no—
983#126—538no—
984#126—538no—
985#126—534no—
986#126—534no—
987#126—538no—
988#126—538no—
989#126—538no—
990#126—538no—
991#126C22×D5318yes—
992#126C22×D5318yes—
993#125—534no—
994#125—538no—
995#125—534no—
996#125—538no—
997#125—538no—
998#125—534no—
999#125—534no—
1000#125—538no—
1001#125—538no—
1002#125—538no—
1003#125—538no—
1004#125—534no—
1005#125—538no—
1006#125—534no—
1007#125—534no—
1008#125—532no—
1009#125C22×D5318yes—
1010#125C22×D5314yes—
1011#125C22×D5312yes—
1012#124—534no—
1013#124—534no—
1014#124—534no—
1015#124—534no—
1016#124—538no—
1017#124—538no—
1018#124—534no—
1019#124—538no—
1020#124—538no—
1021#124—538no—
1022#124—538no—
1023#124—538no—
1024#124—534no—
1025#124—532no—
1026#124C22×D5314yes—
1027#124C22×D5314yes—
1028#124C22×D5312yes—
1029#123—534no—
1030#123—534no—
1031#123—534no—
1032#123—538no—
1033#123—538no—
1034#123—534no—
1035#123—534no—
1036#123—534no—
1037#123—538no—
1038#123—534no—
1039#123—538no—
1040#123—534no—
1041#123—534no—
1042#123—538no—
1043#123—538no—
1044#123—534no—
1045#123C22×D5318yes—
1046#123C22×D5318yes—
1047C22⋊Q8—532no—
1048C22⋊Q8—532no—
1049C22⋊Q8—534no—
1050C22⋊Q8—534no—
1051C22⋊Q8—534no—
1052C22⋊Q8—534no—
1053C22⋊Q8—534no—
1054C22⋊Q8—532no—
1055C22⋊Q8—532no—
1056C22⋊Q8—534no—
1057C22⋊Q8—538no—
1058C22⋊Q8—532no—
1059C22⋊Q8—538no—
1060C22⋊Q8—532no—
1061C22⋊Q8—538no—
1062C22⋊Q8—538no—
1063C22⋊Q8—538no—
1064C22⋊Q8—538no—
1065C22⋊Q8—538no—
1066C22⋊Q8—538no—
1067C22⋊Q8—538no—
1068C22⋊Q8—534no—
1069C22⋊Q8—538no—
1070C22⋊Q8—534no—
1071C22⋊Q8—538no—
1072C22⋊Q8—538no—
1073C22⋊Q8C22×D5314yes—
1074C22⋊Q8C22×D5318yes—
1075C22⋊Q8C22×D5312yes—
1076C22⋊Q8C22×D5312yes—
1077C22⋊Q8C22×D5314yes—
1078#121—532no—
1079#121—532no—
1080#121—534no—
1081#121—538no—
1082#121—534no—
1083#121—538no—
1084#121—534no—
1085#121—532no—
1086#121—534no—
1087#121—538no—
1088#121—532no—
1089#121—532no—
1090#121—532no—
1091#121—534no—
1092#121—534no—
1093#121—538no—
1094#121—538no—
1095#121—538no—
1096#121—538no—
1097#121C22×D5312yes—
1098#121C22×D5312yes—
1099#120—534no—
1100#120—534no—
1101C4×Q8—532no—
1102C4×Q8—534no—
1103C4×Q8—534no—
1104C4×Q8—532no—
1105C4×Q8—534no—
1106C4×Q8—534no—
1107C4×Q8—534no—
1108C4×Q8—538no—
1109C4×Q8—532no—
1110C4×Q8—538no—
1111C4×Q8—538no—
1112C4×Q8—534no—
1113C4×Q8—538no—
1114C4×Q8—534no—
1115C4×Q8—532no—
1116C4×Q8—534no—
1117C4×Q8—534no—
1118C4×Q8—538no—
1119C4×Q8—538no—
1120C4×Q8—538no—
1121C4×Q8—538no—
1122C4×Q8—532no—
1123C4×Q8—532no—
1124C4×Q8—532no—
1125C4×Q8—532no—
1126C4×Q8—534no—
1127C4×Q8—538no—
1128C4×Q8—538no—
1129C4×Q8—534no—
1130C4×Q8—532no—
1131C4×Q8—532no—
1132C4×Q8—538no—
1133C4×Q8—534no—
1134C4×Q8C22×D5314yes—
1135C4×Q8C22×D5312yes—
1136C4×Q8C22×D5312yes—
1137C4×Q8C22×D5312yes—
1138C4×Q8C22×D5312yes—
1139C4×Q8C22×D5312yes—
1140C4×Q8C22×D5312yes—
1141C4×Q8C22×D5314yes—
1142C4×D4—534no—
1143C4×D4—532no—
1144C4×D4—534no—
1145C4×D4—532no—
1146C4×D4—534no—
1147C4×D4—538no—
1148C4×D4—538no—
1149C4×D4—538no—
1150C4×D4—534no—
1151C4×D4—534no—
1152C4×D4—538no—
1153C4×D4—532no—
1154C4×D4—532no—
1155C4×D4—534no—
1156C4×D4—538no—
1157C4×D4—538no—
1158C4×D4—534no—
1159C4×D4—534no—
1160C4×D4—538no—
1161C4×D4—534no—
1162C4×D4—538no—
1163C4×D4—538no—
1164C4×D4—538no—
1165C4×D4—538no—
1166C4×D4—538no—
1167C4×D4—534no—
1168C4×D4—534no—
1169C4×D4—534no—
1170C4×D4—532no—
1171C4×D4—532no—
1172C4×D4C22×D5318yes—
1173C4×D4C22×D5314yes—
1174C4×D4C22×D5314yes—
1175C4×D4C22×D5312yes—
1176C4×D4C22×D5312yes—
1177#117—532no—
1178#117—534no—
1179#117—538no—
1180#117—538no—
1181#117—538no—
1182#117—534no—
1183#117—534no—
1184#117—538no—
1185#117—534no—
1186#117—538no—
1187#117—538no—
1188#117—538no—
1189#117—538no—
1190#117—538no—
1191#117—532no—
1192#117—532no—
1193#117—532no—
1194#117—532no—
1195#117—538no—
1196#117—538no—
1197#117—534no—
1198#117—538no—
1199#117—538no—
1200#117—538no—
1201#117C22×D5312yes—
1202#117C22×D5314yes—
1203#117C22×D5318yes—
1204C2×C4⋊C4—532no—
1205C2×C4⋊C4—532no—
1206C2×C4⋊C4—531no—
1207C2×C4⋊C4—531no—
1208C2×C4⋊C4—531no—
1209C2×C4⋊C4—532no—
1210C2×C4⋊C4—538no—
1211C2×C4⋊C4—538no—
1212C2×C4⋊C4—534no—
1213C2×C4⋊C4C22×D5311yescharacteristic
1214C2×C4⋊C4C22×D5312yes—
1215C2×C4⋊C4C22×D5314yes—
1216C2×C22⋊C4—531no—
1217C2×C22⋊C4—531no—
1218C2×C22⋊C4—532no—
1219C2×C42—532no—
1220C2×C42—531no—
1221C2×C42—532no—
1222C2×C42—532no—
1223C2×C42—532no—
1224C2×C42—538no—
1225C2×C42—534no—
1226C2×C42—534no—
1227C2×C42—538no—
1228C2×C42C22×D5312yes—
1229C2×C42C22×D5311yescharacteristic
1230C24—531no—
1231#41—28no—
1232#41—10616no—
1233#41—10632no—
1234#41—10616no—
1235#41—1068no—
1236C2×Q8—24no—
1237C2×Q8—538no—
1238C2×Q8—532no—
1239C2×Q8—532no—
1240C2×Q8—538no—
1241C2×Q8—538no—
1242C2×Q8—532no—
1243C2×Q8—532no—
1244C2×Q8—532no—
1245C2×Q8—538no—
1246C2×Q8—1068no—
1247C2×Q8—10616no—
1248C2×Q8—10616no—
1249C2×Q8—10616no—
1250C2×Q8—10616no—
1251C2×Q8C23×D5312yes—
1252C2×Q8C23×D5312yes—
1253C2×Q8C23×D5312yes—
1254C2×Q8C23×D5312yes—
1255C2×Q8C23×D5312yes—
1256C2×D4—534no—
1257C2×D4—538no—
1258C2×D4—534no—
1259C2×D4—534no—
1260C2×D4—538no—
1261C2×D4—532no—
1262C2×D4—534no—
1263C2×D4—534no—
1264C2×D4—532no—
1265C2×D4—532no—
1266C2×D4C23×D5314yes—
1267C2×D4C23×D5312yes—
1268C2×D4C23×D5312yes—
1269C2×D4C23×D5312yes—
1270C22×C4—532no—
1271C22×C4—531no—
1272C22×C4—538no—
1273C22×C4—531no—
1274C22×C4—531no—
1275C22×C4—532no—
1276C22×C4—534no—
1277C22×C4—534no—
1278C22×C4—538no—
1279C22×C4—534no—
1280C22×C4—538no—
1281C22×C4—532no—
1282C22×C4—532no—
1283C22×C4—534no—
1284C22×C4—534no—
1285C22×C4—538no—
1286C22×C4—1068no—
1287C22×C4—1064no—
1288C22×C4C23×D5312yes—
1289C22×C4C23×D5314yes—
1290C22×C4C23×D5312yes—
1291C22×C4C23×D5311yescharacteristic
1292C22×C4C23×D5318yes—
1293C22×C4C23×D5311yescharacteristic
1294C22×C4C23×D5311yescharacteristic
1295C4⋊C4—538no—
1296C4⋊C4—538no—
1297C4⋊C4—532no—
1298C4⋊C4—534no—
1299C4⋊C4—538no—
1300C4⋊C4—534no—
1301C4⋊C4—534no—
1302C4⋊C4—534no—
1303C4⋊C4—532no—
1304C4⋊C4—532no—
1305C4⋊C4—532no—
1306C4⋊C4—532no—
1307C4⋊C4—532no—
1308C4⋊C4—538no—
1309C4⋊C4—532no—
1310C4⋊C4—538no—
1311C4⋊C4—532no—
1312C4⋊C4—534no—
1313C4⋊C4—534no—
1314C4⋊C4—534no—
1315C4⋊C4—538no—
1316C4⋊C4—534no—
1317C4⋊C4—534no—
1318C4⋊C4—538no—
1319C4⋊C4—538no—
1320C4⋊C4—532no—
1321C4⋊C4—538no—
1322C4⋊C4—532no—
1323C4⋊C4—538no—
1324C4⋊C4—532no—
1325C4⋊C4—534no—
1326C4⋊C4—538no—
1327C4⋊C4—534no—
1328C4⋊C4—534no—
1329C4⋊C4—532no—
1330C4⋊C4C23×D5312yes—
1331C4⋊C4C23×D5318yes—
1332C4⋊C4C23×D5312yes—
1333C4⋊C4C23×D5312yes—
1334C4⋊C4C23×D5314yes—
1335C4⋊C4C23×D5314yes—
1336C4⋊C4C23×D5318yes—
1337C4⋊C4C23×D5312yes—
1338C4⋊C4C23×D5314yes—
1339C4⋊C4C23×D5312yes—
1340C4⋊C4C23×D5318yes—
1341C4⋊C4C23×D5312yes—
1342C4⋊C4C23×D5312yes—
1343C4⋊C4C23×D5314yes—
1344C4⋊C4C23×D5312yes—
1345C22⋊C4—534no—
1346C22⋊C4—534no—
1347C22⋊C4—534no—
1348C22⋊C4—538no—
1349C22⋊C4—534no—
1350C22⋊C4—534no—
1351C22⋊C4—532no—
1352C22⋊C4—532no—
1353C22⋊C4—532no—
1354C22⋊C4—538no—
1355C22⋊C4—532no—
1356C22⋊C4—534no—
1357C22⋊C4—534no—
1358C22⋊C4—538no—
1359C22⋊C4—538no—
1360C22⋊C4—534no—
1361C22⋊C4—538no—
1362C22⋊C4—534no—
1363C22⋊C4—534no—
1364C22⋊C4—534no—
1365C22⋊C4—534no—
1366C22⋊C4—534no—
1367C22⋊C4—534no—
1368C22⋊C4—538no—
1369C22⋊C4—534no—
1370C22⋊C4C23×D5314yes—
1371C22⋊C4C23×D5318yes—
1372C22⋊C4C23×D5318yes—
1373C22⋊C4C23×D5314yes—
1374C22⋊C4C23×D5318yes—
1375C22⋊C4C23×D5314yes—
1376C42—538no—
1377C42—532no—
1378C42—532no—
1379C42—534no—
1380C42—534no—
1381C42—534no—
1382C42—538no—
1383C42—534no—
1384C42—538no—
1385C42—538no—
1386C42—538no—
1387C42—538no—
1388C42—534no—
1389C42—534no—
1390C42—534no—
1391C42C23×D5318yes—
1392C42C23×D5314yes—
1393C42C23×D5314yes—
1394C42C23×D5314yes—
1395C42C23×D5311yescharacteristic
1396C42C23×D5311yescharacteristic
1397C42C23×D5311yescharacteristic
1398C42C23×D5311yescharacteristic
1399C23—532no—
1400C23—534no—
1401C23—1062no—
1402C23—2121no—
1403C23—2121no—
1404C23C24×D5314yes—
1405C23C24×D5311yescharacteristic
1406Q8—24no—
1407Q8—24no—
1408Q8—24no—
1409Q8—42no—
1410Q8—42no—
1411Q8—538no—
1412Q8—538no—
1413Q8—10616no—
1414Q8—10616no—
1415Q8—1064no—
1416Q8—2122no—
1417Q8—2128no—
1418Q8—2122no—
1419D4—28no—
1420D4—24no—
1421D4—42no—
1422D4—42no—
1423D4—10616no—
1424D4—1068no—
1425D4—1064no—
1426D4—2122no—
1427D4—2124no—
1428D4—2124no—
1429D4—2122no—
1430D4—2128no—
1431D4—2124no—
1432D4—2124no—
1433C2×C4—24no—
1434C2×C4—28no—
1435C2×C4—41no—
1436C2×C4—42no—
1437C2×C4—48no—
1438C2×C4—41no—
1439C2×C4—538no—
1440C2×C4—534no—
1441C2×C4—532no—
1442C2×C4—532no—
1443C2×C4—534no—
1444C2×C4—534no—
1445C2×C4—532no—
1446C2×C4—534no—
1447C2×C4—534no—
1448C2×C4—10616no—
1449C2×C4—10616no—
1450C2×C4—10616no—
1451C2×C4—1062no—
1452C2×C4—1064no—
1453C2×C4—1064no—
1454C2×C4—1068no—
1455C2×C4—2124no—
1456C2×C4—2128no—
1457C2×C4—2124no—
1458C2×C4—2121no—
1459C2×C4—2124no—
1460C2×C4—2122no—
1461C2×C4—2121no—
1462C2×C4—2124no—
1463C2×C4#41×D5314yes—
1464C2×C4C24×D5314yes—
1465C2×C4C24×D5311yescharacteristic
1466C2×C4C24×D5311yescharacteristic
1467C2×C4C24×D5314yes—
1468C2×C4C24×D5314yes—
1469C2×C4C24×D5314yes—
1470C2×C4C24×D5314yes—
1471C2×C4C24×D5311yescharacteristic
1472C2×C4C24×D5311yescharacteristic
1473C2×C4C24×D5311yescharacteristic
1474C2×C4C24×D5311yescharacteristic
1475C22—21no—
1476C22—21no—
1477C22—24no—
1478C22—24no—
1479C22—24no—
1480C22—1062no—
1481C22—1064no—
1482C22—1064no—
1483C22—1062no—
1484C22—1064no—
1485C22—1062no—
1486C22—2124no—
1487C22C2×#41×D5312yes—
1488C22C25×D5311yescharacteristic
1489C4—24no—
1490C4—24no—
1491C4—21no—
1492C4—21no—
1493C4—24no—
1494C4—24no—
1495C4—24no—
1496C4—21no—
1497C4—21no—
1498C4—538no—
1499C4—1064no—
1500C4—1062no—
1501C4—1062no—
1502C4—1064no—
1503C4—1064no—
1504C4—1062no—
1505C4—1064no—
1506C4C2×#41×D5312yes—
1507C4C2×#41×D5312yes—
1508C2—22no—
1509C2—44no—
1510C2—2122no—
1511C2—2124no—
1512C2C22×#41×D5311yescharacteristic
1513C2#2028952711yescharacteristic
1514C2#2028952811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3507C2
hypercenter#3507D53
hypocenterC53#62850
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3507

Complements

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

NH ≅ G/Ntype
1. #20288821C2semidirect
2. #20288819C2semidirect
3. #20288808C2semidirect
4. #20288804C2semidirect
5. #20288729C2semidirect
6. #20288725C2semidirect
7. #20288705C2semidirect
8. #20288703C2semidirect
9. #20288580C2semidirect
10. #20288575C2semidirect
11. #20288520C2semidirect
12. #20288481C2semidirect
13. #20288428C2semidirect
14. #20288427C2semidirect
15. #20288364C2semidirect
16. #20288144C2semidirect
17. #20288139C2semidirect
18. #20288107C2semidirect
19. #20288104C2semidirect
20. #20288101C2semidirect
21. #20287926C2semidirect
22. C2×#16811099C2semidirect
23. C53×#3507C2semidirect
26. #16811358C22semidirect
27. #16811357C22semidirect
28. Q8×Dic106C22semidirect
29. #16811353C22semidirect
30. #16811351C22semidirect
31. #16811351C22semidirect
32. #16811351C22semidirect
33. #16811350C22semidirect
34. #16811350C22semidirect
35. #16811348C22semidirect
37. #16811346C22semidirect
39. #16811345C22semidirect
40. #16811344C22semidirect
43. #16811340C22semidirect
44. #16811340C22semidirect
49. #16811333C22semidirect
50. #16811327C22semidirect
56. #16811314C22semidirect
57. #16811310C22semidirect
61. #16811305C22semidirect
62. #16811294C22semidirect
63. #16811293C22semidirect
64. D4×Dic106C22semidirect
67. #16811288C22semidirect
72. #16811282C22semidirect
75. #16811281C22semidirect
80. #16811246C22semidirect
84. #16811242C22semidirect
86. #16811239C22semidirect
87. #16811237C22semidirect
90. #16811234C22semidirect
91. #16811233C22semidirect
93. #16811232C22semidirect
94. #16811230C22semidirect
114. #16811178C22semidirect
115. #16811177C22semidirect
116. #16811176C22semidirect
118. #16811175C22semidirect
124. #16811159C22semidirect
131. #16811153C22semidirect
132. #16811152C22semidirect
133. #16811151C22semidirect
140. #16811104C22semidirect
142. #16811102C22semidirect
144. #16811100C22semidirect
149. #16811099C22semidirect
152. #16811091C22semidirect
154. C4×#11719947C22semidirect
160. C2×#13133182C22semidirect
161. C4×Q8×D53C22semidirect
166. C53×#559C22semidirect
167. C53×#557C22semidirect
168. C53×#556C22semidirect
169. C53×#556C22semidirect
170. C53×#554C22semidirect
171. C53×#552C22semidirect
761. #3507D53semidirect
785. #559C2×D53semidirect
794. #557C2×D53semidirect
804. #556C2×D53semidirect
805. #556C2×D53semidirect
812. #554C2×D53semidirect
824. #552C2×D53semidirect
936. C53#62850semidirect

Maximal subgroups

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

subgroupindex
#202888212
#202888192
#202888082
#202888042
#202887292
#202887252
#202887052
#202887032
#202885802
#202885752
#202885202
#202884812
#202884282
#202884272
#202883642
#202881442
#202881392
#202881072
#202881042
#202881012
#202879262
C2×#168110992
C53×#35072
#6285053