Finite Group Databasebeta

← #28293088

Subgroups — #28293088

Order 13568.

6608 conjugacy classes of subgroups.

The subgroup lattice has 2124 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289404C214yesmaximal, complemented
2#20289399C214yesmaximal, complemented
3#20289208C211yesmaximal, characteristic, complemented
4#20289110C212yesmaximal, complemented
5#20289109C211yesmaximal, characteristic, complemented
6#20288977C211yesmaximal, characteristic, complemented
7#20288974C211yesmaximal, characteristic, complemented
8#20288968C212yesmaximal, complemented
9#20288965C214yesmaximal, complemented
10#20288965C214yesmaximal, complemented
11#20288719C212yesmaximal, complemented
12#20288717C212yesmaximal, complemented
13#20288715C212yesmaximal, complemented
14#20288714C214yesmaximal, complemented
15#20288713C212yesmaximal, complemented
16#20288691C212yesmaximal, complemented
17#20288687C212yesmaximal, complemented
18#20288683C212yesmaximal, complemented
19#20288682C214yesmaximal, complemented
20#20288681C212yesmaximal, complemented
21#20288637C211yesmaximal, characteristic, complemented
22#20288633C214yesmaximal, complemented
23#20288631C214yesmaximal, complemented
24#20288630C212yesmaximal, complemented
25#20288009C212yesmaximal, complemented
26#20288008C211yesmaximal, characteristic, complemented
27C53×#3512C211yesmaximal, characteristic, complemented
28C53⋊#564C2214yescomplemented
29#16811370C2214yescomplemented
30#16811369C2214yescomplemented
31#16811368C2214yescomplemented
32#16811364C2214yes—
33#16811361C2214yes—
34#16811361C2214yes—
35#16811361C2214yes—
36#16811351C2212yescomplemented
37#16811350C2214yescomplemented
38#16811350C2212yescomplemented
39#16811349C2212yescomplemented
40#16811348C2212yescomplemented
41#16811332C2212yescomplemented
42#16811331C2212yescomplemented
43#16811329C2212yescomplemented
44#16811328C2212yescomplemented
45#16811327C2214yescomplemented
46#16811326C2212yes—
47#16811325C2214yes—
48#16811325C2212yes—
49#16811324C2214yes—
50#16811324C2214yes—
51#16811324C2214yes—
52#16811324C2214yescomplemented
53#16811324C2214yescomplemented
54#16811323C2214yes—
55#16811323C2214yes—
56#16811323C2212yes—
57#16811323C2214yescomplemented
58#16811322C2214yes—
59#16811322C2214yes—
60#16811322C2214yes—
61#16811322C2214yes—
62#16811322C2214yescomplemented
63#16811322C2214yescomplemented
64#16811321C2212yes—
65#16811321C2214yescomplemented
66#16811320C2214yes—
67#16811320C2214yescomplemented
68#16811319C2214yescomplemented
69#16811318C2214yes—
70#16811318C2214yes—
71#16811318C2214yescomplemented
72#16811317C2214yescomplemented
73#16811316C2214yes—
74#16811316C2214yescomplemented
75#16811315C2212yes—
76#16811314C2212yes—
77#16811314C2214yescomplemented
78#16811313C2214yescomplemented
79#16811312C2214yescomplemented
80#16811311C2212yes—
81#16811311C2214yescomplemented
82#16811310C2214yescomplemented
83#16811309C2214yescomplemented
84#16811309C2214yescomplemented
85#16811308C2212yes—
86#16811308C2214yescomplemented
87#16811306C2214yes—
88#16811306C2214yes—
89#16811306C2214yescomplemented
90#16811306C2214yescomplemented
91#16811305C2214yes—
92#16811305C2214yes—
93#16811305C2214yescomplemented
94#16811295C2212yes—
95#16811294C2214yes—
96#16811294C2214yes—
97#16811294C2212yescomplemented
98#16811293C2212yes—
99#16811293C2212yescomplemented
100#16811292C2212yes—
101#16811292C2212yescomplemented
102#16811291C2214yes—
103#16811291C2214yes—
104#16811291C2212yes—
105#16811291C2214yescomplemented
106#16811291C2212yescomplemented
107#16811277C2212yes—
108#16811276C2212yes—
109#16811275C2212yes—
110#16811275C2212yescomplemented
111#16811274C2214yes—
112#16811274C2214yes—
113#16811274C2212yescomplemented
114#16811273C2212yescomplemented
115#16811272C2212yes—
116#16811272C2212yescomplemented
117#16811271C2214yes—
118#16811271C2214yes—
119#16811271C2214yescomplemented
120#16811235C2211yescharacteristic
121#16811235C2211yescharacteristic, complemented
122#16811233C2212yes—
123#16811232C2214yescomplemented
124#16811231C2212yescomplemented
125#16811230C2214yes—
126#16811230C2214yes—
127#16811230C2214yescomplemented
128#16811229C2214yes—
129#16811228C2211yescharacteristic
130#16811228C2214yes—
131#16811228C2214yes—
132#16811228C2211yescharacteristic, complemented
133#16811226C2212yes—
134#16811226C2214yes—
135#16811225C2214yes—
136#16811225C2214yes—
137#16811225C2214yes—
138#16811225C2214yescomplemented
139#16811224C2214yes—
140#16811224C2214yes—
141#16811224C2212yescomplemented
142#16811223C2214yes—
143#16811223C2214yes—
144#16811223C2214yes—
145#16811223C2214yes—
146#16811223C2214yes—
147#16811223C2214yescomplemented
148#16811222C2214yes—
149#16811221C2214yes—
150#16811221C2214yes—
151#16811221C2214yes—
152#16811220C2214yes—
153#16811220C2214yes—
154#16811219C2214yes—
155#16811217C2214yes—
156#16811215C2214yes—
157#16811215C2214yes—
158#16811214C2214yes—
159#16811214C2214yes—
160#16811203C2212yes—
161#16811202C2214yes—
162#16811202C2212yes—
163#16811202C2214yes—
164#16811201C2212yes—
165#16811200C2214yes—
166#16811200C2214yes—
167#16811179C2212yes—
168#16811177C2212yes—
169#16811177C2212yes—
170#16811176C2211yescharacteristic
171#16811175C2212yes—
172#16811173C2211yescharacteristic, complemented
173#16811172C2212yes—
174#16811172C2212yescomplemented
175#16811170C2212yes—
176#16811170C2212yes—
177#16811170C2214yescomplemented
178#16811169C2211yescharacteristic
179#16811168C2212yes—
180#16811168C2214yescomplemented
181#16811160C2212yes—
182#16811158C2212yes—
183#16811158C2212yescomplemented
184#16811157C2212yes—
185#16811157C2212yescomplemented
186#16811156C2214yes—
187#16811156C2214yes—
188#16811156C2214yescomplemented
189#16811155C2212yes—
190#16811153C2212yes—
191#16811153C2212yes—
192#16811153C2214yescomplemented
193#16811152C2212yes—
194#16811152C2212yescomplemented
195#16811151C2212yes—
196#16811151C2212yes—
197#16811151C2214yes—
198#16811151C2214yescomplemented
199#16811150C2214yes—
200#16811150C2214yescomplemented
201C2×#13133209C2211yescharacteristic, complemented
202C2×#13133207C2214yescomplemented
203#125×D53C2212yescomplemented
204#125×D53C2214yescomplemented
205#16811136C2212yes—
206#16811135C2211yescharacteristic
207#16811133C2212yes—
208#16811132C2212yes—
209#16811132C2212yes—
210#16811132C2214yes—
211#16811131C2214yes—
212#16811130C2211yescharacteristic
213#16811105C2212yescomplemented
214#16811104C2214yescomplemented
215#16811103C2214yescomplemented
216#16811103C2212yescomplemented
217#16811102C2212yescomplemented
218#16811102C2214yescomplemented
219#16811102C2214yescomplemented
220C4×#11719949C2212yes—
221C4×#11719945C2211yescharacteristic
222C4×#11719945C2212yes—
223C4×#11719945C2212yes—
224#16811091C2214yes—
225C4×#11719947C2214yes—
226C4×#11719947C2212yes—
227C2×C42×D53C2211yescharacteristic
228C53×#553C2214yes—
229C53×#553C2214yes—
230C53×#553C2214yescomplemented
231C53×#552C2214yescomplemented
232C53×#541C2211yescharacteristic
233C53×#541C2211yescharacteristic, complemented
234C53×#540C2211yescharacteristic
235C53×#540C2211yescharacteristic, complemented
236C53×#537C2212yes—
237C53×#532C2211yescharacteristic, complemented
238C53×#529C2212yes—
239C53×#529C2212yescomplemented
240C2×#125×C53C2211yescharacteristic, complemented
241C53×#520C2212yescomplemented
242C4×#41×C53C2211yescharacteristic
243C2×#11719949C2312yes—
244C2×#11719949C2312yes—
245C2×#11719945C2312yes—
246C2×#11719945C2314yes—
247C2×#11719945C2314yes—
248C2×#11719945C2312yes—
249C2×#11719945C2314yes—
250C2×#11719945C2312yes—
251C2×#11719945C2311yescharacteristic
252C2×#11719947C2314yes—
253C2×#11719947C2314yes—
254C2×#11719947C2312yes—
255C2×#11719947C2312yes—
256C2×#11719947C2314yes—
257C22×C4×D53C2311yescharacteristic
258C22×C4×D53C2312yes—
259#13133217C2311yescharacteristic
260#13133216C2314yes—
261#13133216C2314yes—
262#13133216C2312yes—
263#13133216C2312yes—
264#13133216C2312yes—
265#13133215C2312yes—
266#13133215C2312yes—
267#13133215C2311yescharacteristic
268#13133214C2314yes—
269#13133214C2311yescharacteristic
270#13133213C2314yes—
271#13133213C2314yes—
272#13133213C2314yes—
273#13133213C2314yes—
274#13133213C2312yes—
275#13133213C2314yes—
276#13133213C2311yescharacteristic
277#13133213C2312yes—
278#13133212C2314yes—
279#13133212C2314yes—
280#13133212C2314yes—
281#13133212C2314yes—
282#13133212C2314yes—
283#13133212C2312yes—
284#13133212C2314yes—
285#13133212C2314yes—
286#13133212C2312yes—
287#13133212C2314yes—
288#13133211C2314yes—
289#13133211C2314yes—
290#13133211C2314yes—
291#13133211C2314yes—
292#13133210C2312yes—
293#13133210C2314yes—
294#13133210C2314yes—
295#13133210C2314yes—
296#13133210C2314yes—
297#13133210C2312yes—
298#13133210C2314yes—
299#13133210C2314yes—
300#13133210C2314yes—
301#13133210C2314yes—
302#13133209C2314yes—
303#13133209C2314yes—
304#13133209C2314yes—
305#13133209C2314yes—
306#13133209C2311yescharacteristic
307#13133209C2311yescharacteristic
308#13133209C2312yes—
309#13133208C2312yes—
310#13133208C2314yes—
311#13133208C2314yes—
312#13133208C2314yes—
313#13133208C2314yes—
314#13133208C2314yes—
315#13133208C2312yes—
316#13133208C2312yes—
317#13133207C2314yes—
318#13133207C2314yes—
319#13133207C2314yes—
320#13133207C2314yes—
321#13133207C2314yes—
322#13133207C2314yes—
323#13133207C2314yes—
324#13133207C2314yes—
325#13133207C2314yes—
326#13133207C2314yes—
327#13133207C2314yes—
328#13133207C2314yes—
329#13133207C2314yes—
330#13133207C2314yes—
331#13133207C2314yes—
332#13133207C2314yes—
333#13133207C2314yes—
334#13133207C2312yes—
335#13133207C2314yes—
336#13133207C2312yes—
337#13133206C2311yescharacteristic
338#13133205C2312yes—
339#13133204C2311yescharacteristic
340#13133203C2314yes—
341#13133203C2314yes—
342#13133203C2312yes—
343#13133203C2312yes—
344#13133202C2314yes—
345#13133202C2314yes—
346#13133202C2314yes—
347#13133202C2314yes—
348#13133202C2314yes—
349#13133202C2314yes—
350#13133202C2314yes—
351#13133202C2314yes—
352#13133202C2314yes—
353#13133202C2314yes—
354#13133202C2314yes—
355#13133202C2314yes—
356#13133202C2312yes—
357#13133202C2312yes—
358#13133202C2314yes—
359#13133202C2314yes—
360#13133201C2314yes—
361#13133201C2314yes—
362#13133201C2314yes—
363#13133201C2314yes—
364#13133201C2314yes—
365#13133201C2312yes—
366#13133200C2314yes—
367#13133200C2314yes—
368#13133200C2314yes—
369#13133200C2314yes—
370#13133200C2314yes—
371#13133200C2314yes—
372#13133200C2314yes—
373#13133200C2314yes—
374#13133199C2314yes—
375#13133199C2314yes—
376#13133199C2314yes—
377#13133199C2314yes—
378#13133199C2314yes—
379#13133199C2314yes—
380#13133199C2312yes—
381#13133199C2312yes—
382#13133199C2314yes—
383#13133199C2314yes—
384#13133198C2314yes—
385#13133198C2314yes—
386#13133198C2314yes—
387#13133198C2311yescharacteristic
388#13133198C2311yescharacteristic
389#13133197C2312yes—
390#13133197C2312yes—
391#13133197C2314yes—
392#13133197C2314yes—
393#13133197C2312yes—
394#13133196C2312yes—
395#13133196C2314yes—
396#13133196C2314yes—
397#13133196C2312yes—
398#13133195C2312yes—
399#13133195C2314yes—
400#13133195C2314yes—
401#13133195C2312yes—
402#13133195C2314yes—
403#13133195C2314yes—
404#13133195C2314yes—
405#13133195C2314yes—
406#13133195C2314yes—
407#13133195C2314yes—
408#13133194C2314yes—
409#13133194C2314yes—
410#13133194C2314yes—
411#13133194C2314yes—
412#13133194C2314yes—
413#13133194C2314yes—
414#13133194C2312yes—
415#13133194C2312yes—
416#13133193C2312yes—
417#13133193C2312yes—
418#13133193C2314yes—
419#13133193C2312yes—
420#13133192C2314yes—
421#13133192C2314yes—
422#13133192C2312yes—
423#13133192C2314yes—
424#13133192C2312yes—
425#13133192C2314yes—
426#13133192C2314yes—
427#13133192C2312yes—
428#13133191C2314yes—
429#13133191C2314yes—
430#13133191C2312yes—
431#13133191C2314yes—
432#13133191C2314yes—
433#13133191C2314yes—
434#13133191C2314yes—
435#13133191C2314yes—
436#13133191C2312yes—
437#13133190C2314yes—
438#13133190C2314yes—
439#13133190C2314yes—
440#13133190C2314yes—
441#13133190C2314yes—
442#13133190C2312yes—
443#13133190C2314yes—
444#13133190C2314yes—
445#13133190C2314yes—
446#13133190C2314yes—
447#13133190C2314yes—
448#13133190C2312yes—
449#13133190C2314yes—
450#13133190C2314yes—
451#13133190C2314yes—
452#13133190C2314yes—
453#13133190C2314yes—
454#13133190C2314yes—
455#13133190C2314yes—
456#13133190C2314yes—
457#13133189C2314yes—
458#13133189C2314yes—
459#13133189C2314yes—
460#13133189C2314yes—
461#13133189C2314yes—
462#13133189C2314yes—
463#13133189C2314yes—
464#13133189C2314yes—
465#13133189C2314yes—
466#13133189C2314yes—
467#13133189C2314yes—
468#13133189C2314yes—
469#13133189C2314yes—
470#13133189C2314yes—
471#13133189C2312yes—
472#13133189C2312yes—
473#13133188C2312yes—
474#13133188C2312yes—
475#13133188C2314yes—
476#13133188C2314yes—
477#13133188C2314yes—
478#13133188C2314yes—
479#13133188C2314yes—
480#13133188C2314yes—
481#13133188C2312yes—
482#13133187C2314yes—
483#13133187C2312yes—
484#13133185C2311yescharacteristic
485#13133185C2311yescharacteristic
486#13133185C2314yes—
487Q8×Dic53C2312yes—
488Q8×Dic53C2312yes—
489C4×Dic106C2312yes—
490C4×Dic106C2312yes—
491C4×Dic106C2314yes—
492C4×Dic106C2314yes—
493C4×Dic106C2312yes—
494C4×Dic106C2312yes—
495C4×Dic106C2314yes—
496C4×Dic106C2312yes—
497C4×Dic106C2312yes—
498C4×Dic106C2312yes—
499#13133182C2314yes—
500#13133182C2314yes—
501#13133182C2312yes—
502#13133182C2314yes—
503#13133182C2312yes—
504#13133182C2314yes—
505#13133182C2314yes—
506C4×D212C2312yes—
507C4×D212C2312yes—
508C4×D212C2312yes—
509C4×D212C2314yes—
510C4×D212C2314yes—
511C4×D212C2314yes—
512C4×D212C2312yes—
513C4×D212C2312yes—
514C4×D212C2312yes—
515C4×D212C2312yes—
516C4×D212C2314yes—
517D4×Dic53C2312yes—
518D4×Dic53C2312yes—
519D4×Dic53C2314yes—
520D4×Dic53C2314yes—
521D4×Dic53C2314yes—
522#13133179C2314yes—
523#13133179C2314yes—
524#13133179C2312yes—
525#13133179C2312yes—
526#13133179C2314yes—
527#13133179C2314yes—
528#13133179C2314yes—
529#13133179C2314yes—
530C4×C22⋊D53C2312yes—
531C4×C22⋊D53C2312yes—
532C4×C22⋊D53C2312yes—
533C4×C22⋊D53C2314yes—
534C4×C22⋊D53C2314yes—
535C4×C22⋊D53C2312yes—
536C4×C22⋊D53C2314yes—
537C4×C22⋊D53C2314yes—
538C4×C22⋊D53C2314yes—
539C4×C22⋊D53C2314yes—
540C4×C22⋊D53C2314yes—
541C4×C22⋊D53C2314yes—
542C4×C22⋊D53C2312yes—
543C4×C22⋊D53C2314yes—
544C4×C22⋊D53C2312yes—
545C4×C22⋊D53C2314yes—
546C4×C22⋊D53C2312yes—
547C4×C22⋊D53C2312yes—
548C4×C22⋊D53C2312yes—
549C4×C22⋊D53C2312yes—
550#13133177C2314yes—
551#13133177C2314yes—
552#13133177C2314yes—
553#13133177C2314yes—
554#13133177C2314yes—
555#13133177C2314yes—
556#13133177C2314yes—
557#13133177C2314yes—
558#13133177C2314yes—
559#13133177C2314yes—
560#13133177C2314yes—
561#13133177C2314yes—
562#13133177C2314yes—
563#13133177C2314yes—
564#13133177C2314yes—
565#13133177C2314yes—
566#13133176C2314yes—
567#13133176C2312yes—
568#13133176C2312yes—
569#13133176C2311yescharacteristic
570#13133175C2314yes—
571#13133175C2314yes—
572#13133175C2314yes—
573#13133175C2312yes—
574#13133175C2314yes—
575#13133175C2312yes—
576#13133175C2314yes—
577#13133174C2312yes—
578#13133174C2314yes—
579#13133174C2314yes—
580#13133174C2314yes—
581#13133174C2312yes—
582#13133174C2312yes—
583#13133174C2314yes—
584#13133174C2314yes—
585#13133174C2312yes—
586#13133174C2312yes—
587#13133173C2314yes—
588#13133173C2314yes—
589#13133173C2314yes—
590#13133173C2314yes—
591#13133173C2314yes—
592#13133173C2314yes—
593C2×C4⋊Dic53C2312yes—
594C2×C4⋊Dic53C2314yes—
595C2×#11719919C2314yes—
596C2×#11719919C2314yes—
597C2×#11719919C2314yes—
598C2×#11719919C2314yes—
599C2×#11719919C2314yes—
600C4⋊C4×D53C2314yes—
601C4⋊C4×D53C2314yes—
602C4⋊C4×D53C2314yes—
603C4⋊C4×D53C2312yes—
604C4⋊C4×D53C2314yes—
605C4⋊C4×D53C2314yes—
606C4⋊C4×D53C2312yes—
607C4⋊C4×D53C2314yes—
608C4⋊C4×D53C2314yes—
609C4⋊C4×D53C2314yes—
610C2×C4×Dic53C2312yes—
611C2×C4×Dic53C2311yescharacteristic
612C2×C4×Dic53C2314yes—
613C42×D53C2312yes—
614C42×D53C2312yes—
615C42×D53C2312yes—
616C42×D53C2312yes—
617C42×D53C2314yes—
618C42×D53C2312yes—
619C2×#41×C53C2312yes—
620C2×#41×C53C2311yescharacteristic
621C4⋊Q8×C53C2311yescharacteristic
622#127×C53C2311yescharacteristic
623#126×C53C2314yes—
624#126×C53C2314yes—
625#126×C53C2314yes—
626#126×C53C2314yes—
627#125×C53C2314yes—
628#125×C53C2314yes—
629#125×C53C2312yes—
630#125×C53C2311yescharacteristic
631#125×C53C2311yescharacteristic
632#125×C53C2314yes—
633#124×C53C2312yes—
634#123×C53C2314yes—
635#123×C53C2314yes—
636#123×C53C2314yes—
637#123×C53C2314yes—
638C22⋊Q8×C53C2312yes—
639C22⋊Q8×C53C2312yes—
640C22⋊Q8×C53C2314yes—
641#121×C53C2312yes—
642#121×C53C2314yes—
643#121×C53C2314yes—
644#121×C53C2314yes—
645#121×C53C2312yes—
646#121×C53C2314yes—
647#121×C53C2314yes—
648#121×C53C2314yes—
649C4×Q8×C53C2312yes—
650C4×Q8×C53C2312yes—
651C4×Q8×C53C2312yes—
652C4×D4×C53C2312yes—
653C4×D4×C53C2314yes—
654C4×D4×C53C2314yes—
655C4×D4×C53C2312yes—
656C4×D4×C53C2312yes—
657C4×D4×C53C2312yes—
658C4×D4×C53C2312yes—
659C4×D4×C53C2314yes—
660C4×D4×C53C2314yes—
661C4×D4×C53C2314yes—
662#117×C53C2311yescharacteristic
663#117×C53C2311yescharacteristic
664#117×C53C2311yescharacteristic
665#117×C53C2314yes—
666#117×C53C2314yes—
667#117×C53C2314yes—
668C2×C4⋊C4×C53C2314yes—
669C2×C4⋊C4×C53C2314yes—
670C2×C4⋊C4×C53C2312yes—
671C2×C42×C53C2311yescharacteristic
672C2×C42×C53C2311yescharacteristic
673C2×C42×C53C2311yescharacteristic
674C23×D53C2411yescharacteristic
675#41×C53—42no—
676#41×C53—44no—
677C2×Q8×C53C2412yes—
678C2×Q8×C53C2411yescharacteristic
679C2×D4×C53C2412yes—
680C2×D4×C53C2411yescharacteristic
681C2×D4×C53C2411yescharacteristic
682C2×D4×C53C2411yescharacteristic
683C2×D4×C53C2414yes—
684C2×D4×C53C2414yes—
685C2×D4×C53C2414yes—
686C2×D4×C53C2414yes—
687C22×C4×C53C2411yescharacteristic
688C22×C4×C53C2411yescharacteristic
689C22×C4×C53C2411yescharacteristic
690C22×C4×C53C2412yes—
691C22×C4×C53C2412yes—
692C22×C4×C53C2412yes—
693C22×C4×C53C2414yes—
694C22×C4×C53C2414yes—
695C22×C4×C53C2414yes—
696C22×C4×C53C2414yes—
697C2×C22⋊D53C2414yes—
698C2×C22⋊D53C2412yes—
699C2×C22⋊D53C2412yes—
700C2×C22⋊D53C2414yes—
701C2×C22⋊D53C2414yes—
702C2×C22⋊D53C2414yes—
703C2×C22⋊D53C2414yes—
704C2×C22⋊D53C2414yes—
705C2×C22⋊D53C2414yes—
706C2×C22⋊D53C2414yes—
707C2×C22⋊D53C2414yes—
708C2×C22⋊D53C2414yes—
709C2×C22⋊D53C2412yes—
710C2×C22⋊D53C2412yes—
711C2×C22⋊D53C2412yes—
712C2×C22⋊D53C2414yes—
713C22×Dic53C2412yes—
714C22×Dic53C2414yes—
715C22×Dic53C2411yescharacteristic
716C22×Dic53C2414yes—
717C22×Dic53C2414yes—
718C22×Dic53C2414yes—
719C22×Dic53C2414yes—
720#11719949—44no—
721#11719949—44no—
722#11719947—44no—
723#11719947—44no—
724#11719947—48no—
725#11719947—48no—
726#11719947—48no—
727#11719945—44no—
728#11719945—48no—
729#11719945—48no—
730#11719945—48no—
731#11719945—44no—
732#11719945—44no—
733#11719945—42no—
734C2×D212C2412yes—
735C2×D212C2414yes—
736C2×D212C2414yes—
737C2×D212C2414yes—
738C2×D212C2414yes—
739C2×D212C2412yes—
740C2×D212C2412yes—
741C2×D212C2414yes—
742C2×D212C2411yescharacteristic
743C2×C4×D53—44no—
744C2×C4×D53—42no—
745C2×C4×D53C2412yes—
746C2×C4×D53C2412yes—
747C2×C4×D53C2412yes—
748C2×C4×D53C2412yes—
749C2×C4×D53C2414yes—
750C2×C4×D53C2412yes—
751C2×C4×D53C2412yes—
752C2×C4×D53C2412yes—
753C2×C4×D53C2412yes—
754C2×C4×D53C2414yes—
755C2×C4×D53C2412yes—
756C2×C4×D53C2414yes—
757C2×C4×D53C2414yes—
758C2×C4×D53C2414yes—
759C2×C4×D53C2414yes—
760C2×C4×D53C2414yes—
761C2×C4×D53C2414yes—
762C2×C4×D53C2414yes—
763C2×Dic106C2414yes—
764C2×Dic106C2412yes—
765C2×Dic106C2412yes—
766C2×Dic106C2412yes—
767C2×Dic106C2414yes—
768C2×Dic106C2411yescharacteristic
769C4⋊C4×C53C2412yes—
770C4⋊C4×C53C2414yes—
771C4⋊C4×C53C2414yes—
772C4⋊C4×C53C2414yes—
773C4⋊C4×C53C2412yes—
774C4⋊C4×C53C2412yes—
775C4⋊C4×C53C2414yes—
776C4⋊C4×C53C2414yes—
777C4⋊C4×C53C2414yes—
778C4⋊C4×C53C2414yes—
779C4⋊C4×C53C2412yes—
780C4⋊C4×C53C2412yes—
781C4⋊C4×C53C2414yes—
782C4⋊C4×C53C2414yes—
783C4⋊C4×C53C2414yes—
784C22⋊C4×C53C2414yes—
785C22⋊C4×C53C2412yes—
786C22⋊C4×C53C2412yes—
787C22⋊C4×C53C2412yes—
788C22⋊C4×C53C2414yes—
789C22⋊C4×C53C2414yes—
790C22⋊C4×C53C2414yes—
791C22⋊C4×C53C2414yes—
792C22⋊C4×C53C2414yes—
793C22⋊C4×C53C2414yes—
794C22⋊C4×C53C2414yes—
795C42×C53C2411yescharacteristic
796C42×C53C2411yescharacteristic
797C42×C53C2411yescharacteristic
798C42×C53C2412yes—
799C42×C53C2412yes—
800C42×C53C2411yescharacteristic
801C42×C53C2412yes—
802C42×C53C2414yes—
803C42×C53C2414yes—
804C22⋊Dic53C2412yes—
805C22⋊Dic53C2414yes—
806C22⋊Dic53C2414yes—
807C22⋊Dic53C2414yes—
808C22⋊Dic53C2414yes—
809C22⋊Dic53C2414yes—
810C22⋊Dic53C2412yes—
811C22⋊Dic53C2411yescharacteristic
812C22⋊Dic53C2411yescharacteristic
813C22⋊Dic53C2412yes—
814C22⋊Dic53C2414yes—
815C22⋊Dic53C2412yes—
816#11719921C2412yes—
817#11719921C2414yes—
818#11719921C2414yes—
819#11719921C2412yes—
820#11719921C2412yes—
821#11719921C2414yes—
822#11719921C2414yes—
823#11719921C2414yes—
824#11719921C2414yes—
825#11719921C2412yes—
826#11719921C2414yes—
827#11719921C2412yes—
828#11719921C2412yes—
829#11719921C2412yes—
830#11719921C2412yes—
831#11719921C2412yes—
832#11719921C2412yes—
833#11719921C2414yes—
834#11719921C2414yes—
835#11719921C2414yes—
836#11719921C2414yes—
837#11719921C2414yes—
838#11719921C2414yes—
839#11719921C2414yes—
840#11719921C2414yes—
841#11719921C2414yes—
842C4⋊Dic53C2412yes—
843C4⋊Dic53C2414yes—
844C4⋊Dic53C2414yes—
845C4⋊Dic53C2412yes—
846C4⋊Dic53C2412yes—
847C4⋊Dic53C2414yes—
848C4⋊Dic53C2414yes—
849C4⋊Dic53C2414yes—
850C4⋊Dic53C2414yes—
851C4⋊Dic53C2412yes—
852C4⋊Dic53C2414yes—
853C4⋊Dic53C2414yes—
854C4⋊Dic53C2412yes—
855C4⋊Dic53C2412yes—
856C4⋊Dic53C2412yes—
857#11719919C2412yes—
858#11719919C2412yes—
859#11719919C2412yes—
860#11719919C2412yes—
861#11719919C2414yes—
862#11719919C2414yes—
863#11719919C2414yes—
864#11719919C2414yes—
865#11719919C2414yes—
866#11719919C2414yes—
867#11719919C2414yes—
868#11719919C2414yes—
869#11719919C2414yes—
870#11719919C2414yes—
871#11719919C2414yes—
872#11719919C2414yes—
873#11719919C2414yes—
874#11719919C2412yes—
875#11719919C2412yes—
876#11719919C2412yes—
877#11719919C2412yes—
878#11719919C2414yes—
879#11719919C2414yes—
880#11719919C2414yes—
881#11719919C2414yes—
882#11719919C2414yes—
883#11719919C2414yes—
884#11719919C2414yes—
885#11719919C2414yes—
886#11719919C2414yes—
887#11719919C2412yes—
888#11719919C2412yes—
889C4×Dic53C2412yes—
890C4×Dic53C2412yes—
891C4×Dic53C2412yes—
892C4×Dic53C2412yes—
893C4×Dic53C2411yescharacteristic
894C4×Dic53C2412yes—
895C4×Dic53C2411yescharacteristic
896C4×Dic53C2412yes—
897C4×Dic53C2414yes—
898C4×Dic53C2414yes—
899C4×Dic53C2412yes—
900C4×Dic53C2412yes—
901C4×Dic53C2414yes—
902C4×Dic53C2414yes—
903C4×Dic53C2414yes—
904C4×Dic53C2414yes—
905C4×Dic53C2414yes—
906C4×Dic53C2414yes—
907C23×C53C2514yes—
908C23×C53C2511yescharacteristic
909C23×C53C2511yescharacteristic
910C23×C53C2511yescharacteristic
911C22×D53—42no—
912C22×D53—41no—
913C22×D53C2512yes—
914C22×D53C2514yes—
915C22×D53C2512yes—
916Q8×C53—24no—
917Q8×C53—41no—
918D4×C53—24no—
919D4×C53—44no—
920D4×C53—44no—
921D4×C53—44no—
922D4×C53—41no—
923D4×C53—41no—
924D4×C53—44no—
925D4×C53—41no—
926C2×C4×C53—22no—
927C2×C4×C53—22no—
928C2×C4×C53—22no—
929C2×C4×C53—42no—
930C2×C4×C53—42no—
931C2×C4×C53—44no—
932C2×C4×C53—44no—
933C2×C4×C53—44no—
934C2×C4×C53—42no—
935C2×C4×C53—44no—
936C2×C4×C53C2514yes—
937C2×C4×C53C2512yes—
938C2×C4×C53C2511yescharacteristic
939C2×C4×C53C2514yes—
940C2×C4×C53C2512yes—
941C2×C4×C53C2512yes—
942C2×C4×C53C2512yes—
943C2×C4×C53C2511yescharacteristic
944C2×C4×C53C2514yes—
945C2×C4×C53C2511yescharacteristic
946C2×C4×C53C2511yescharacteristic
947C22⋊D53—24no—
948C22⋊D53—28no—
949C22⋊D53—24no—
950C22⋊D53—42no—
951C22⋊D53—44no—
952C22⋊D53—44no—
953C22⋊D53—44no—
954C22⋊D53—42no—
955C22⋊D53—44no—
956C22⋊D53—42no—
957C22⋊D53—44no—
958C22⋊D53—44no—
959C22⋊D53—44no—
960C22⋊D53—44no—
961C22⋊D53—44no—
962C22⋊D53—44no—
963C2×Dic53—24no—
964C2×Dic53—28no—
965C2×Dic53—41no—
966C2×Dic53—44no—
967C2×Dic53—44no—
968C2×Dic53—44no—
969C2×Dic53—44no—
970C2×Dic53C2512yes—
971C2×Dic53C2512yes—
972C2×Dic53C2512yes—
973C2×Dic53C2514yes—
974C2×Dic53C2514yes—
975C2×Dic53C2512yes—
976C2×Dic53C2514yes—
977C2×Dic53C2512yes—
978C2×Dic53C2512yes—
979D212—24no—
980D212—42no—
981D212—44no—
982D212—44no—
983D212—42no—
984D212—44no—
985D212—41no—
986D212—44no—
987D212—44no—
988C4×D53—24no—
989C4×D53—24no—
990C4×D53—24no—
991C4×D53—24no—
992C4×D53—28no—
993C4×D53—42no—
994C4×D53—42no—
995C4×D53—42no—
996C4×D53—44no—
997C4×D53—42no—
998C4×D53—44no—
999C4×D53—44no—
1000C4×D53—42no—
1001C4×D53—44no—
1002C4×D53—44no—
1003C4×D53—44no—
1004C4×D53—44no—
1005C4×D53—44no—
1006Dic106—24no—
1007Dic106—24no—
1008Dic106—28no—
1009Dic106—24no—
1010Dic106—41no—
1011Dic106—44no—
1012#62840—531nomaximal, Sylow
1013C22×C53—24no—
1014C22×C53—22no—
1015C22×C53—22no—
1016C22×C53—24no—
1017C22×C53—24no—
1018C22×C53—21no—
1019C22×C53—22no—
1020C22×C53—21no—
1021C22×C53—21no—
1022C22×C53C2611yescharacteristic
1023C2×D53—22no—
1024C2×D53—22no—
1025C2×D53—22no—
1026C2×D53—22no—
1027C2×D53—24no—
1028C2×D53—24no—
1029C2×D53—22no—
1030C2×D53—24no—
1031C2×D53—22no—
1032C2×D53—44no—
1033C4×C53—22no—
1034C4×C53—24no—
1035C4×C53—22no—
1036C4×C53—24no—
1037C4×C53—21no—
1038C4×C53—22no—
1039C4×C53—22no—
1040C4×C53—21no—
1041C4×C53—24no—
1042C4×C53—21no—
1043C4×C53#58512yes—
1044Dic53—22no—
1045Dic53—24no—
1046Dic53—22no—
1047Dic53—24no—
1048Dic53—22no—
1049Dic53—22no—
1050Dic53—24no—
1051Dic53—22no—
1052Dic53#58514yes—
1053#3567—534no—
1054#3567—534no—
1055#3556—531no—
1056#3548—531no—
1057#3548—532no—
1058#3539—534no—
1059#3539—534no—
1060#3539—531no—
1061#3539—531no—
1062#3539—532no—
1063#3517—534no—
1064#3517—532no—
1065#3517—532no—
1066#3517—532no—
1067#3517—532no—
1068#3515—534no—
1069#3515—532no—
1070#3515—532no—
1071#3515—532no—
1072#3515—532no—
1073#3512—534no—
1074#3512—534no—
1075#3512—532no—
1076#3512—531no—
1077#3512D5311yescharacteristic, complemented
1078#3444—532no—
1079#3444—531no—
1080C2×C53—41no—
1081C2×C53—44no—
1082C2×C53—41no—
1083C2×C53—41no—
1084C2×C53C2×#58512yes—
1085C2×C53C2×#58511yescharacteristic
1086D53—42no—
1087D53—44no—
1088D53—42no—
1089#564—534no—
1090#562—534no—
1091#562—534no—
1092#562—534no—
1093#560—534no—
1094#560—534no—
1095#560—534no—
1096#560—534no—
1097#557—532no—
1098#557—534no—
1099#557—532no—
1100#557—532no—
1101#557—532no—
1102#554—532no—
1103#554—534no—
1104#554—532no—
1105#554—532no—
1106#554—532no—
1107#553—534no—
1108#553—534no—
1109#553—534no—
1110#553—534no—
1111#553—534no—
1112#553—532no—
1113#553—534no—
1114#553—534no—
1115#553—534no—
1116#553—534no—
1117#553—534no—
1118#553—534no—
1119#553—534no—
1120#553—534no—
1121#553—532no—
1122#553—534no—
1123#553—534no—
1124#553—534no—
1125#553—534no—
1126#553—534no—
1127#553—534no—
1128#553—534no—
1129#553—534no—
1130#553—534no—
1131#553—532no—
1132#553—534no—
1133#553—534no—
1134#553—532no—
1135#553—534no—
1136#553C2×D5314yes—
1137#553C2×D5314yes—
1138#553C2×D5314yescomplemented
1139#552—534no—
1140#552—534no—
1141#552—534no—
1142#552—534no—
1143#552—534no—
1144#552—532no—
1145#552—534no—
1146#552—534no—
1147#552—532no—
1148#552—532no—
1149#552—534no—
1150#552—534no—
1151#552—534no—
1152#552—534no—
1153#552—534no—
1154#552—534no—
1155#552—534no—
1156#552—532no—
1157#552—534no—
1158#552C2×D5314yescomplemented
1159#550—532no—
1160#550—532no—
1161#550—532no—
1162#550—532no—
1163#550—532no—
1164#550—534no—
1165#550—534no—
1166#550—532no—
1167#550—534no—
1168#550—532no—
1169#550—534no—
1170#550—534no—
1171#550—532no—
1172#547—532no—
1173#547—532no—
1174#547—532no—
1175#547—534no—
1176#547—534no—
1177#547—534no—
1178#547—532no—
1179#547—532no—
1180#547—532no—
1181#547—532no—
1182#547—534no—
1183#547—534no—
1184#547—532no—
1185#541—534no—
1186#541—534no—
1187#541—534no—
1188#541—534no—
1189#541—532no—
1190#541—532no—
1191#541—531no—
1192#541—531no—
1193#541C2×D5311yescharacteristic
1194#541C2×D5311yescharacteristic, complemented
1195#540—534no—
1196#540—534no—
1197#540—534no—
1198#540—534no—
1199#540—534no—
1200#540—534no—
1201#540—534no—
1202#540—534no—
1203#540—532no—
1204#540—534no—
1205#540—534no—
1206#540—534no—
1207#540—534no—
1208#540—532no—
1209#540—534no—
1210#540—534no—
1211#540—531no—
1212#540—531no—
1213#540—534no—
1214#540—534no—
1215#540C2×D5311yescharacteristic
1216#540C2×D5311yescharacteristic, complemented
1217#539—534no—
1218#539—534no—
1219#539—534no—
1220#539—534no—
1221#539—534no—
1222#539—534no—
1223#539—534no—
1224#539—534no—
1225#539—534no—
1226#539—534no—
1227#539—534no—
1228#539—534no—
1229#537—532no—
1230#537—532no—
1231#537—534no—
1232#537—534no—
1233#537—534no—
1234#537—534no—
1235#537—532no—
1236#537C2×D5312yes—
1237#533—532no—
1238#533—532no—
1239#533—532no—
1240#533—532no—
1241#533—531no—
1242#532—531no—
1243#532—532no—
1244#532—532no—
1245#532—532no—
1246#532—534no—
1247#532—532no—
1248#532—532no—
1249#532—534no—
1250#532—531no—
1251#532C2×D5311yescharacteristic, complemented
1252#529—534no—
1253#529—534no—
1254#529—534no—
1255#529—532no—
1256#529—532no—
1257#529—532no—
1258#529—532no—
1259#529—534no—
1260#529—534no—
1261#529—532no—
1262#529—532no—
1263#529—532no—
1264#529—532no—
1265#529—534no—
1266#529—532no—
1267#529—532no—
1268#529—534no—
1269#529—534no—
1270#529—532no—
1271#529—532no—
1272#529C2×D5312yes—
1273#529C2×D5312yescomplemented
1274C2×#125—534no—
1275C2×#125—532no—
1276C2×#125—534no—
1277C2×#125—531no—
1278C2×#125C2×D5311yescharacteristic, complemented
1279#525—531no—
1280#525—534no—
1281#525—532no—
1282#525—532no—
1283#525—534no—
1284#525—532no—
1285#525—532no—
1286#525—531no—
1287#520—532no—
1288#520—534no—
1289#520—534no—
1290#520—532no—
1291#520—532no—
1292#520—534no—
1293#520—534no—
1294#520C2×D5312yescomplemented
1295C4×#41—532no—
1296C4×#41—534no—
1297C4×#41—532no—
1298C4×#41—534no—
1299C4×#41—531no—
1300C4×#41—532no—
1301C4×#41—532no—
1302C4×#41C2×D5311yescharacteristic
1303C22×C42—531no—
1304C53#6284011yescharacteristic, complemented, Sylow
1305C2×#41—532no—
1306C2×#41—532no—
1307C2×#41—534no—
1308C2×#41—532no—
1309C2×#41—534no—
1310C2×#41—534no—
1311C2×#41—532no—
1312C2×#41—531no—
1313C2×#41—534no—
1314C2×#41—532no—
1315C2×#41—532no—
1316C2×#41—534no—
1317C2×#41—534no—
1318C2×#41—532no—
1319C2×#41C22×D5311yescharacteristic
1320C2×#41C22×D5312yes—
1321C23×C4—532no—
1322C23×C4—531no—
1323C4⋊Q8—532no—
1324C4⋊Q8—531no—
1325C4⋊Q8—532no—
1326C4⋊Q8—532no—
1327C4⋊Q8—532no—
1328C4⋊Q8—532no—
1329C4⋊Q8—534no—
1330C4⋊Q8—534no—
1331C4⋊Q8—531no—
1332C4⋊Q8C22×D5311yescharacteristic
1333#127—531no—
1334#127—532no—
1335#127—534no—
1336#127—534no—
1337#127—532no—
1338#127—534no—
1339#127—534no—
1340#127—534no—
1341#127—531no—
1342#127—534no—
1343#127C22×D5311yescharacteristic
1344#126—534no—
1345#126—532no—
1346#126—532no—
1347#126—534no—
1348#126—534no—
1349#126—534no—
1350#126—534no—
1351#126—534no—
1352#126—534no—
1353#126—534no—
1354#126—532no—
1355#126—532no—
1356#126—534no—
1357#126—534no—
1358#126—534no—
1359#126—534no—
1360#126—534no—
1361#126—534no—
1362#126—534no—
1363#126—534no—
1364#126—534no—
1365#126—534no—
1366#126—534no—
1367#126—534no—
1368#126C22×D5314yes—
1369#126C22×D5314yes—
1370#126C22×D5314yes—
1371#126C22×D5314yes—
1372#125—534no—
1373#125—532no—
1374#125—532no—
1375#125—534no—
1376#125—534no—
1377#125—534no—
1378#125—534no—
1379#125—534no—
1380#125—534no—
1381#125—534no—
1382#125—534no—
1383#125—534no—
1384#125—534no—
1385#125—532no—
1386#125—534no—
1387#125—534no—
1388#125—532no—
1389#125—534no—
1390#125—532no—
1391#125—534no—
1392#125—534no—
1393#125—534no—
1394#125—534no—
1395#125—534no—
1396#125—534no—
1397#125—534no—
1398#125—534no—
1399#125—534no—
1400#125—532no—
1401#125—534no—
1402#125—534no—
1403#125—531no—
1404#125—531no—
1405#125—534no—
1406#125—534no—
1407#125C22×D5312yes—
1408#125C22×D5314yes—
1409#125C22×D5314yes—
1410#125C22×D5311yescharacteristic
1411#125C22×D5311yescharacteristic
1412#125C22×D5314yes—
1413#124—531no—
1414#124—531no—
1415#124—532no—
1416#124—532no—
1417#124—534no—
1418#124—534no—
1419#124—532no—
1420#124C22×D5312yes—
1421#123—531no—
1422#123—531no—
1423#123—534no—
1424#123—534no—
1425#123—534no—
1426#123—534no—
1427#123—534no—
1428#123—534no—
1429#123—534no—
1430#123—534no—
1431#123—534no—
1432#123—534no—
1433#123—534no—
1434#123—534no—
1435#123—532no—
1436#123—534no—
1437#123—532no—
1438#123—534no—
1439#123—534no—
1440#123—534no—
1441#123—534no—
1442#123—534no—
1443#123—534no—
1444#123—534no—
1445#123—534no—
1446#123—534no—
1447#123—534no—
1448#123—534no—
1449#123—534no—
1450#123—534no—
1451#123—534no—
1452#123—532no—
1453#123—532no—
1454#123—532no—
1455#123—534no—
1456#123—534no—
1457#123—534no—
1458#123—534no—
1459#123—534no—
1460#123—534no—
1461#123—534no—
1462#123—534no—
1463#123—534no—
1464#123—534no—
1465#123—534no—
1466#123C22×D5314yes—
1467#123C22×D5314yes—
1468#123C22×D5314yes—
1469#123C22×D5314yes—
1470C22⋊Q8—532no—
1471C22⋊Q8—532no—
1472C22⋊Q8—532no—
1473C22⋊Q8—534no—
1474C22⋊Q8—532no—
1475C22⋊Q8—532no—
1476C22⋊Q8—534no—
1477C22⋊Q8—534no—
1478C22⋊Q8—534no—
1479C22⋊Q8—534no—
1480C22⋊Q8—532no—
1481C22⋊Q8—532no—
1482C22⋊Q8—534no—
1483C22⋊Q8—532no—
1484C22⋊Q8—532no—
1485C22⋊Q8—534no—
1486C22⋊Q8—534no—
1487C22⋊Q8—532no—
1488C22⋊Q8—534no—
1489C22⋊Q8—534no—
1490C22⋊Q8—534no—
1491C22⋊Q8—534no—
1492C22⋊Q8—534no—
1493C22⋊Q8—534no—
1494C22⋊Q8—532no—
1495C22⋊Q8—532no—
1496C22⋊Q8—534no—
1497C22⋊Q8—534no—
1498C22⋊Q8—534no—
1499C22⋊Q8—534no—
1500C22⋊Q8—534no—
1501C22⋊Q8C22×D5312yes—
1502C22⋊Q8C22×D5312yes—
1503C22⋊Q8C22×D5314yes—
1504#121—534no—
1505#121—532no—
1506#121—532no—
1507#121—532no—
1508#121—532no—
1509#121—532no—
1510#121—534no—
1511#121—534no—
1512#121—534no—
1513#121—534no—
1514#121—534no—
1515#121—534no—
1516#121—534no—
1517#121—534no—
1518#121—534no—
1519#121—534no—
1520#121—534no—
1521#121—534no—
1522#121—534no—
1523#121—534no—
1524#121—534no—
1525#121—534no—
1526#121—534no—
1527#121—534no—
1528#121—534no—
1529#121—532no—
1530#121—532no—
1531#121—534no—
1532#121—534no—
1533#121—534no—
1534#121—534no—
1535#121—534no—
1536#121—534no—
1537#121—534no—
1538#121—532no—
1539#121—532no—
1540#121—532no—
1541#121—534no—
1542#121—534no—
1543#121—534no—
1544#121—534no—
1545#121—534no—
1546#121—534no—
1547#121—534no—
1548#121—534no—
1549#121—532no—
1550#121—532no—
1551#121—534no—
1552#121—534no—
1553#121—534no—
1554#121—534no—
1555#121—534no—
1556#121—534no—
1557#121—534no—
1558#121—534no—
1559#121—534no—
1560#121—534no—
1561#121—534no—
1562#121—534no—
1563#121—534no—
1564#121—534no—
1565#121—534no—
1566#121C22×D5312yes—
1567#121C22×D5312yes—
1568#121C22×D5314yes—
1569#121C22×D5314yes—
1570#121C22×D5314yes—
1571#121C22×D5314yes—
1572#121C22×D5314yes—
1573#121C22×D5314yes—
1574#120—534no—
1575#120—531no—
1576#120—531no—
1577#120—534no—
1578#120—532no—
1579C4×Q8—532no—
1580C4×Q8—532no—
1581C4×Q8—534no—
1582C4×Q8—534no—
1583C4×Q8—532no—
1584C4×Q8—534no—
1585C4×Q8—534no—
1586C4×Q8—534no—
1587C4×Q8—532no—
1588C4×Q8—532no—
1589C4×Q8—532no—
1590C4×Q8—532no—
1591C4×Q8—532no—
1592C4×Q8—532no—
1593C4×Q8—534no—
1594C4×Q8—532no—
1595C4×Q8—534no—
1596C4×Q8—534no—
1597C4×Q8—532no—
1598C4×Q8C22×D5312yes—
1599C4×Q8C22×D5312yes—
1600C4×Q8C22×D5312yes—
1601C4×D4—534no—
1602C4×D4—532no—
1603C4×D4—534no—
1604C4×D4—532no—
1605C4×D4—534no—
1606C4×D4—532no—
1607C4×D4—532no—
1608C4×D4—534no—
1609C4×D4—532no—
1610C4×D4—532no—
1611C4×D4—532no—
1612C4×D4—532no—
1613C4×D4—534no—
1614C4×D4—532no—
1615C4×D4—532no—
1616C4×D4—532no—
1617C4×D4—532no—
1618C4×D4—534no—
1619C4×D4—534no—
1620C4×D4—534no—
1621C4×D4—534no—
1622C4×D4—534no—
1623C4×D4—534no—
1624C4×D4—534no—
1625C4×D4—534no—
1626C4×D4—534no—
1627C4×D4—534no—
1628C4×D4—534no—
1629C4×D4—532no—
1630C4×D4—534no—
1631C4×D4—534no—
1632C4×D4—532no—
1633C4×D4—534no—
1634C4×D4—534no—
1635C4×D4—534no—
1636C4×D4—534no—
1637C4×D4—534no—
1638C4×D4—534no—
1639C4×D4—534no—
1640C4×D4—534no—
1641C4×D4—534no—
1642C4×D4—534no—
1643C4×D4—534no—
1644C4×D4—534no—
1645C4×D4—534no—
1646C4×D4—534no—
1647C4×D4—534no—
1648C4×D4—534no—
1649C4×D4—534no—
1650C4×D4—532no—
1651C4×D4—534no—
1652C4×D4—532no—
1653C4×D4—532no—
1654C4×D4—532no—
1655C4×D4—532no—
1656C4×D4—532no—
1657C4×D4—534no—
1658C4×D4—532no—
1659C4×D4—534no—
1660C4×D4—534no—
1661C4×D4C22×D5312yes—
1662C4×D4C22×D5314yes—
1663C4×D4C22×D5312yes—
1664C4×D4C22×D5312yes—
1665C4×D4C22×D5312yes—
1666C4×D4C22×D5314yes—
1667C4×D4C22×D5314yes—
1668C4×D4C22×D5314yes—
1669C4×D4C22×D5312yes—
1670C4×D4C22×D5314yes—
1671#117—531no—
1672#117—532no—
1673#117—532no—
1674#117—534no—
1675#117—534no—
1676#117—532no—
1677#117—532no—
1678#117—534no—
1679#117—534no—
1680#117—534no—
1681#117—534no—
1682#117—534no—
1683#117—534no—
1684#117—534no—
1685#117—534no—
1686#117—534no—
1687#117—534no—
1688#117—532no—
1689#117—534no—
1690#117—532no—
1691#117—532no—
1692#117—532no—
1693#117—532no—
1694#117—534no—
1695#117—534no—
1696#117—534no—
1697#117—534no—
1698#117C22×D5314yes—
1699#117C22×D5311yescharacteristic
1700#117C22×D5311yescharacteristic
1701#117C22×D5311yescharacteristic
1702#117C22×D5314yes—
1703#117C22×D5314yes—
1704C2×C4⋊C4—534no—
1705C2×C4⋊C4—534no—
1706C2×C4⋊C4—532no—
1707C2×C4⋊C4—534no—
1708C2×C4⋊C4—534no—
1709C2×C4⋊C4—534no—
1710C2×C4⋊C4—534no—
1711C2×C4⋊C4—534no—
1712C2×C4⋊C4—534no—
1713C2×C4⋊C4—532no—
1714C2×C4⋊C4—532no—
1715C2×C4⋊C4—534no—
1716C2×C4⋊C4—534no—
1717C2×C4⋊C4—534no—
1718C2×C4⋊C4—534no—
1719C2×C4⋊C4—534no—
1720C2×C4⋊C4—534no—
1721C2×C4⋊C4C22×D5314yes—
1722C2×C4⋊C4C22×D5314yes—
1723C2×C4⋊C4C22×D5312yes—
1724C2×C42—534no—
1725C2×C42—532no—
1726C2×C42—531no—
1727C2×C42—534no—
1728C2×C42—532no—
1729C2×C42—532no—
1730C2×C42—532no—
1731C2×C42—532no—
1732C2×C42—532no—
1733C2×C42C22×D5311yescharacteristic
1734C2×C42C22×D5311yescharacteristic
1735C2×C42C22×D5311yescharacteristic
1736C24—531no—
1737#41—42no—
1738#41—44no—
1739#41—2122no—
1740#41—2124no—
1741#41—2124no—
1742#41—2128no—
1743#41—2124no—
1744#41—2128no—
1745#41—2128no—
1746#41—2128no—
1747#41—2124no—
1748#41—2124no—
1749#41—2128no—
1750#41—2128no—
1751#41—2124no—
1752#41—2124no—
1753C2×Q8—534no—
1754C2×Q8—532no—
1755C2×Q8—532no—
1756C2×Q8—532no—
1757C2×Q8—534no—
1758C2×Q8—531no—
1759C2×Q8C23×D5312yes—
1760C2×Q8C23×D5311yescharacteristic
1761C2×D4—532no—
1762C2×D4—534no—
1763C2×D4—532no—
1764C2×D4—534no—
1765C2×D4—532no—
1766C2×D4—532no—
1767C2×D4—534no—
1768C2×D4—534no—
1769C2×D4—532no—
1770C2×D4—534no—
1771C2×D4—534no—
1772C2×D4—534no—
1773C2×D4—534no—
1774C2×D4—534no—
1775C2×D4—534no—
1776C2×D4—534no—
1777C2×D4—532no—
1778C2×D4—534no—
1779C2×D4—532no—
1780C2×D4—534no—
1781C2×D4—532no—
1782C2×D4—531no—
1783C2×D4—534no—
1784C2×D4—534no—
1785C2×D4—534no—
1786C2×D4C23×D5312yes—
1787C2×D4C23×D5314yes—
1788C2×D4C23×D5314yes—
1789C2×D4C23×D5314yes—
1790C2×D4C23×D5311yescharacteristic
1791C2×D4C23×D5311yescharacteristic
1792C2×D4C23×D5311yescharacteristic
1793C2×D4C23×D5314yes—
1794C22×C4—532no—
1795C22×C4—534no—
1796C22×C4—531no—
1797C22×C4—534no—
1798C22×C4—534no—
1799C22×C4—534no—
1800C22×C4—534no—
1801C22×C4—532no—
1802C22×C4—532no—
1803C22×C4—532no—
1804C22×C4—534no—
1805C22×C4—532no—
1806C22×C4—532no—
1807C22×C4—532no—
1808C22×C4—532no—
1809C22×C4—534no—
1810C22×C4—532no—
1811C22×C4—534no—
1812C22×C4—532no—
1813C22×C4—534no—
1814C22×C4—534no—
1815C22×C4—534no—
1816C22×C4—534no—
1817C22×C4—534no—
1818C22×C4—534no—
1819C22×C4—2122no—
1820C22×C4—2124no—
1821C22×C4C23×D5311yescharacteristic
1822C22×C4C23×D5311yescharacteristic
1823C22×C4C23×D5311yescharacteristic
1824C22×C4C23×D5312yes—
1825C22×C4C23×D5314yes—
1826C22×C4C23×D5312yes—
1827C22×C4C23×D5312yes—
1828C22×C4C23×D5314yes—
1829C22×C4C23×D5314yes—
1830C22×C4C23×D5314yes—
1831C4⋊C4—534no—
1832C4⋊C4—532no—
1833C4⋊C4—534no—
1834C4⋊C4—532no—
1835C4⋊C4—534no—
1836C4⋊C4—534no—
1837C4⋊C4—532no—
1838C4⋊C4—532no—
1839C4⋊C4—532no—
1840C4⋊C4—532no—
1841C4⋊C4—532no—
1842C4⋊C4—534no—
1843C4⋊C4—534no—
1844C4⋊C4—532no—
1845C4⋊C4—532no—
1846C4⋊C4—532no—
1847C4⋊C4—534no—
1848C4⋊C4—532no—
1849C4⋊C4—532no—
1850C4⋊C4—534no—
1851C4⋊C4—534no—
1852C4⋊C4—534no—
1853C4⋊C4—534no—
1854C4⋊C4—534no—
1855C4⋊C4—534no—
1856C4⋊C4—534no—
1857C4⋊C4—534no—
1858C4⋊C4—534no—
1859C4⋊C4—534no—
1860C4⋊C4—534no—
1861C4⋊C4—534no—
1862C4⋊C4—534no—
1863C4⋊C4—534no—
1864C4⋊C4—534no—
1865C4⋊C4—534no—
1866C4⋊C4—534no—
1867C4⋊C4—534no—
1868C4⋊C4—534no—
1869C4⋊C4—532no—
1870C4⋊C4—532no—
1871C4⋊C4—534no—
1872C4⋊C4—532no—
1873C4⋊C4—534no—
1874C4⋊C4—532no—
1875C4⋊C4—534no—
1876C4⋊C4—534no—
1877C4⋊C4—532no—
1878C4⋊C4C23×D5312yes—
1879C4⋊C4C23×D5314yes—
1880C4⋊C4C23×D5314yes—
1881C4⋊C4C23×D5312yes—
1882C4⋊C4C23×D5314yes—
1883C4⋊C4C23×D5312yes—
1884C4⋊C4C23×D5314yes—
1885C4⋊C4C23×D5314yes—
1886C4⋊C4C23×D5314yes—
1887C4⋊C4C23×D5312yes—
1888C4⋊C4C23×D5314yes—
1889C4⋊C4C23×D5314yes—
1890C4⋊C4C23×D5314yes—
1891C4⋊C4C23×D5314yes—
1892C4⋊C4C23×D5312yes—
1893C22⋊C4—532no—
1894C22⋊C4—532no—
1895C22⋊C4—534no—
1896C22⋊C4—531no—
1897C22⋊C4—531no—
1898C22⋊C4—534no—
1899C22⋊C4—534no—
1900C22⋊C4—534no—
1901C22⋊C4—534no—
1902C22⋊C4—532no—
1903C22⋊C4—532no—
1904C22⋊C4—534no—
1905C22⋊C4—532no—
1906C22⋊C4—532no—
1907C22⋊C4—534no—
1908C22⋊C4—534no—
1909C22⋊C4—534no—
1910C22⋊C4—534no—
1911C22⋊C4—532no—
1912C22⋊C4—532no—
1913C22⋊C4—534no—
1914C22⋊C4—534no—
1915C22⋊C4—532no—
1916C22⋊C4—532no—
1917C22⋊C4—534no—
1918C22⋊C4—532no—
1919C22⋊C4—534no—
1920C22⋊C4—532no—
1921C22⋊C4—534no—
1922C22⋊C4—534no—
1923C22⋊C4—534no—
1924C22⋊C4—534no—
1925C22⋊C4—534no—
1926C22⋊C4—534no—
1927C22⋊C4—534no—
1928C22⋊C4—532no—
1929C22⋊C4—532no—
1930C22⋊C4—534no—
1931C22⋊C4C23×D5314yes—
1932C22⋊C4C23×D5314yes—
1933C22⋊C4C23×D5314yes—
1934C22⋊C4C23×D5314yes—
1935C22⋊C4C23×D5314yes—
1936C22⋊C4C23×D5312yes—
1937C22⋊C4C23×D5314yes—
1938C22⋊C4C23×D5314yes—
1939C22⋊C4C23×D5312yes—
1940C22⋊C4C23×D5312yes—
1941C22⋊C4C23×D5314yes—
1942C42—532no—
1943C42—532no—
1944C42—532no—
1945C42—532no—
1946C42—531no—
1947C42—532no—
1948C42—531no—
1949C42—534no—
1950C42—534no—
1951C42—534no—
1952C42—532no—
1953C42—532no—
1954C42—534no—
1955C42—534no—
1956C42—532no—
1957C42—534no—
1958C42—534no—
1959C42—534no—
1960C42C23×D5311yescharacteristic
1961C42C23×D5311yescharacteristic
1962C42C23×D5312yes—
1963C42C23×D5314yes—
1964C42C23×D5312yes—
1965C42C23×D5312yes—
1966C42C23×D5311yescharacteristic
1967C42C23×D5311yescharacteristic
1968C42C23×D5314yes—
1969C23—532no—
1970C23—534no—
1971C23—532no—
1972C23—2122no—
1973C23—2121no—
1974C23C24×D5311yescharacteristic
1975C23C24×D5311yescharacteristic
1976C23C24×D5314yes—
1977C23C24×D5311yescharacteristic
1978Q8—24no—
1979Q8—41no—
1980Q8—1064no—
1981Q8—1068no—
1982Q8—1064no—
1983Q8—1064no—
1984Q8—2124no—
1985Q8—2121no—
1986D4—24no—
1987D4—41no—
1988D4—41no—
1989D4—41no—
1990D4—44no—
1991D4—44no—
1992D4—44no—
1993D4—44no—
1994D4—1064no—
1995D4—1068no—
1996D4—1064no—
1997D4—1064no—
1998D4—2122no—
1999D4—2124no—
2000D4—2124no—
2001D4—2124no—
2002D4—2122no—
2003D4—2121no—
2004D4—2124no—
2005D4—2124no—
2006D4—2124no—
2007D4—2124no—
2008D4—2122no—
2009D4—2124no—
2010D4—2124no—
2011D4—2124no—
2012D4—2122no—
2013D4—2124no—
2014D4—2124no—
2015D4—2122no—
2016D4—2124no—
2017D4—2124no—
2018D4—2124no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—42no—
2023C2×C4—44no—
2024C2×C4—42no—
2025C2×C4—44no—
2026C2×C4—42no—
2027C2×C4—44no—
2028C2×C4—44no—
2029C2×C4—532no—
2030C2×C4—532no—
2031C2×C4—532no—
2032C2×C4—532no—
2033C2×C4—534no—
2034C2×C4—532no—
2035C2×C4—534no—
2036C2×C4—534no—
2037C2×C4—532no—
2038C2×C4—1064no—
2039C2×C4—1064no—
2040C2×C4—1068no—
2041C2×C4—1064no—
2042C2×C4—1068no—
2043C2×C4—1064no—
2044C2×C4—1064no—
2045C2×C4—2122no—
2046C2×C4—2122no—
2047C2×C4—2122no—
2048C2×C4—2122no—
2049C2×C4—2124no—
2050C2×C4—2122no—
2051C2×C4—2124no—
2052C2×C4—2124no—
2053C2×C4—2124no—
2054C2×C4—2124no—
2055C2×C4—2124no—
2056C2×C4—2124no—
2057C2×C4—2124no—
2058C2×C4—2121no—
2059C2×C4—2124no—
2060C2×C4—2124no—
2061C2×C4—2124no—
2062C2×C4—2124no—
2063C2×C4C24×D5312yes—
2064C2×C4C24×D5312yes—
2065C2×C4C24×D5314yes—
2066C2×C4C24×D5311yescharacteristic
2067C2×C4C24×D5312yes—
2068C2×C4C24×D5314yes—
2069C2×C4C24×D5314yes—
2070C2×C4C24×D5312yes—
2071C2×C4C24×D5311yescharacteristic
2072C2×C4C24×D5311yescharacteristic
2073C2×C4C24×D5311yescharacteristic
2074C22—22no—
2075C22—24no—
2076C22—22no—
2077C22—22no—
2078C22—24no—
2079C22—21no—
2080C22—21no—
2081C22—21no—
2082C22—24no—
2083C22—1062no—
2084C22—1062no—
2085C22—1064no—
2086C22—1062no—
2087C22—1064no—
2088C22—1062no—
2089C22—1062no—
2090C22—1062no—
2091C22—1064no—
2092C22—2124no—
2093C22C25×D5311yescharacteristic
2094C4—22no—
2095C4—22no—
2096C4—22no—
2097C4—24no—
2098C4—24no—
2099C4—22no—
2100C4—21no—
2101C4—21no—
2102C4—21no—
2103C4—24no—
2104C4—534no—
2105C4—1064no—
2106C4—1062no—
2107C4—1062no—
2108C4—1064no—
2109C4—1062no—
2110C4—1062no—
2111C4—1062no—
2112C4—1064no—
2113C4#1681145912yes—
2114C2—41no—
2115C2—41no—
2116C2—44no—
2117C2—41no—
2118C2—2122no—
2119C2—2124no—
2120C2—2122no—
2121C2#585×D5312yes—
2122C2C2×#1681145911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3512C2
hypercenter#3512D53
hypocenterC53#62840
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3512

Complements

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

NH ≅ G/Ntype
1. #20289404C2semidirect
2. #20289399C2semidirect
3. #20289208C2semidirect
4. #20289110C2semidirect
5. #20289109C2semidirect
6. #20288977C2semidirect
7. #20288974C2semidirect
8. #20288968C2semidirect
9. #20288965C2semidirect
10. #20288965C2semidirect
11. #20288719C2semidirect
12. #20288717C2semidirect
13. #20288715C2semidirect
14. #20288714C2semidirect
15. #20288713C2semidirect
16. #20288691C2semidirect
17. #20288687C2semidirect
18. #20288683C2semidirect
19. #20288682C2semidirect
20. #20288681C2semidirect
21. #20288637C2semidirect
22. #20288633C2semidirect
23. #20288631C2semidirect
24. #20288630C2semidirect
25. #20288009C2semidirect
26. #20288008C2semidirect
27. C53×#3512C2semidirect
28. C53⋊#564C22semidirect
29. #16811370C22semidirect
30. #16811369C22semidirect
31. #16811368C22semidirect
36. #16811351C22semidirect
37. #16811350C22semidirect
38. #16811350C22semidirect
39. #16811349C22semidirect
40. #16811348C22semidirect
41. #16811332C22semidirect
42. #16811331C22semidirect
43. #16811329C22semidirect
44. #16811328C22semidirect
45. #16811327C22semidirect
52. #16811324C22semidirect
53. #16811324C22semidirect
57. #16811323C22semidirect
62. #16811322C22semidirect
63. #16811322C22semidirect
65. #16811321C22semidirect
67. #16811320C22semidirect
68. #16811319C22semidirect
71. #16811318C22semidirect
72. #16811317C22semidirect
74. #16811316C22semidirect
77. #16811314C22semidirect
78. #16811313C22semidirect
79. #16811312C22semidirect
81. #16811311C22semidirect
82. #16811310C22semidirect
83. #16811309C22semidirect
84. #16811309C22semidirect
86. #16811308C22semidirect
89. #16811306C22semidirect
90. #16811306C22semidirect
93. #16811305C22semidirect
97. #16811294C22semidirect
99. #16811293C22semidirect
101. #16811292C22semidirect
105. #16811291C22semidirect
106. #16811291C22semidirect
110. #16811275C22semidirect
113. #16811274C22semidirect
114. #16811273C22semidirect
116. #16811272C22semidirect
119. #16811271C22semidirect
121. #16811235C22semidirect
123. #16811232C22semidirect
124. #16811231C22semidirect
127. #16811230C22semidirect
132. #16811228C22semidirect
138. #16811225C22semidirect
141. #16811224C22semidirect
147. #16811223C22semidirect
172. #16811173C22semidirect
174. #16811172C22semidirect
177. #16811170C22semidirect
180. #16811168C22semidirect
183. #16811158C22semidirect
185. #16811157C22semidirect
188. #16811156C22semidirect
192. #16811153C22semidirect
194. #16811152C22semidirect
198. #16811151C22semidirect
200. #16811150C22semidirect
201. C2×#13133209C22semidirect
202. C2×#13133207C22semidirect
203. #125×D53C22semidirect
204. #125×D53C22semidirect
213. #16811105C22semidirect
214. #16811104C22semidirect
215. #16811103C22semidirect
216. #16811103C22semidirect
217. #16811102C22semidirect
218. #16811102C22semidirect
219. #16811102C22semidirect
230. C53×#553C22semidirect
231. C53×#552C22semidirect
233. C53×#541C22semidirect
235. C53×#540C22semidirect
237. C53×#532C22semidirect
239. C53×#529C22semidirect
240. C2×#125×C53C22semidirect
241. C53×#520C22semidirect
1077. #3512D53semidirect
1138. #553C2×D53semidirect
1158. #552C2×D53semidirect
1194. #541C2×D53semidirect
1216. #540C2×D53semidirect
1251. #532C2×D53semidirect
1273. #529C2×D53semidirect
1278. C2×#125C2×D53semidirect
1294. #520C2×D53semidirect
1304. C53#62840semidirect

Maximal subgroups

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

subgroupindex
#202894042
#202893992
#202892082
#202891102
#202891092
#202889772
#202889742
#202889682
#202889652
#202887192
#202887172
#202887152
#202887142
#202887132
#202886912
#202886872
#202886832
#202886822
#202886812
#202886372
#202886332
#202886312
#202886302
#202880092
#202880082
C53×#35122
#6284053