Finite Group Databasebeta

← #28293083

Subgroups — #28293083

Order 13568.

6616 conjugacy classes of subgroups.

The subgroup lattice has 2126 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289221C211yesmaximal, characteristic, complemented
2#20289215C214yesmaximal, complemented
3#20289140C214yesmaximal, complemented
4#20289137C212yesmaximal, complemented
5#20288987C212yesmaximal, complemented
6#20288980C214yesmaximal, complemented
7#20288977C211yesmaximal, characteristic, complemented
8#20288974C211yesmaximal, characteristic, complemented
9#20288973C214yesmaximal, complemented
10#20288827C212yesmaximal, complemented
11#20288822C214yesmaximal, complemented
12#20288821C214yesmaximal, complemented
13#20288819C212yesmaximal, complemented
14#20288786C212yesmaximal, complemented
15#20288782C212yesmaximal, complemented
16#20288773C214yesmaximal, complemented
17#20288770C214yesmaximal, complemented
18#20288623C212yesmaximal, complemented
19#20288620C212yesmaximal, complemented
20#20288619C212yesmaximal, complemented
21#20288598C212yesmaximal, complemented
22#20288597C211yesmaximal, characteristic, complemented
23#20288588C212yesmaximal, complemented
24#20288587C211yesmaximal, characteristic, complemented
25#20288012C211yesmaximal, characteristic, complemented
26#20288009C212yesmaximal, complemented
27C53×#3557C211yesmaximal, characteristic, complemented
28#16811375C2214yescomplemented
29#16811372C2214yescomplemented
30#16811365C2214yes—
31#16811364C2214yescomplemented
32#16811364C2214yescomplemented
33#16811363C2214yescomplemented
34#16811361C2214yescomplemented
35#16811358C2214yescomplemented
36#16811358C2212yescomplemented
37#16811357C2214yescomplemented
38#16811357C2214yescomplemented
39#16811355C2214yescomplemented
40#16811355C2214yescomplemented
41#16811351C2212yescomplemented
42#16811350C2214yescomplemented
43#16811348C2214yescomplemented
44#16811347C2212yes—
45#16811346C2212yes—
46#16811346C2212yescomplemented
47#16811345C2214yes—
48#16811344C2214yescomplemented
49#16811340C2214yes—
50#16811340C2214yescomplemented
51#16811339C2214yescomplemented
52#16811339C2212yescomplemented
53#16811338C2212yescomplemented
54#16811336C2214yescomplemented
55#16811336C2214yescomplemented
56#16811335C2214yescomplemented
57#16811335C2214yescomplemented
58#16811333C2212yescomplemented
59#16811331C2214yescomplemented
60#16811327C2214yescomplemented
61#16811326C2214yescomplemented
62#16811326C2212yescomplemented
63#16811326C2212yescomplemented
64#16811325C2214yescomplemented
65#16811324C2214yescomplemented
66#16811324C2214yescomplemented
67#16811324C2214yescomplemented
68#16811324C2214yescomplemented
69#16811324C2214yescomplemented
70#16811323C2212yescomplemented
71#16811323C2212yescomplemented
72#16811322C2214yescomplemented
73#16811321C2214yescomplemented
74#16811318C2214yescomplemented
75#16811315C2214yescomplemented
76#16811314C2212yescomplemented
77#16811314C2212yescomplemented
78#16811311C2214yescomplemented
79#16811311C2212yescomplemented
80#16811311C2212yescomplemented
81#16811310C2214yescomplemented
82#16811309C2214yescomplemented
83#16811309C2214yescomplemented
84#16811305C2214yescomplemented
85#16811305C2214yescomplemented
86#16811305C2214yescomplemented
87#16811305C2214yescomplemented
88#16811300C2214yes—
89#16811300C2214yescomplemented
90#16811300C2214yescomplemented
91#16811297C2214yes—
92#16811297C2214yescomplemented
93#16811296C2214yes—
94#16811295C2212yes—
95#16811294C2214yes—
96#16811293C2212yes—
97#16811291C2214yes—
98#16811285C2212yescomplemented
99#16811285C2212yescomplemented
100#16811283C2214yescomplemented
101#16811283C2214yescomplemented
102#16811283C2214yescomplemented
103#16811281C2212yescomplemented
104#16811281C2212yescomplemented
105#16811281C2214yescomplemented
106#16811277C2212yescomplemented
107#16811276C2212yescomplemented
108#16811274C2214yescomplemented
109#16811271C2214yescomplemented
110#16811268C2212yes—
111#16811268C2212yescomplemented
112#16811266C2212yes—
113#16811266C2212yescomplemented
114#16811265C2214yes—
115#16811265C2214yescomplemented
116#16811265C2214yescomplemented
117#16811262C2214yes—
118#16811247C2212yescomplemented
119#16811247C2214yescomplemented
120#16811246C2214yescomplemented
121#16811244C2212yescomplemented
122#16811243C2214yescomplemented
123#16811243C2214yescomplemented
124#16811243C2214yescomplemented
125#16811242C2212yescomplemented
126#16811239C2214yescomplemented
127#16811239C2214yescomplemented
128#16811239C2214yescomplemented
129#16811237C2214yescomplemented
130#16811236C2211yescharacteristic, complemented
131#16811235C2211yescharacteristic, complemented
132#16811234C2211yescharacteristic, complemented
133#16811232C2214yescomplemented
134#16811232C2214yescomplemented
135#16811229C2214yescomplemented
136#16811229C2211yescharacteristic, complemented
137#16811229C2214yescomplemented
138#16811228C2211yescharacteristic
139#16811227C2211yescharacteristic, complemented
140#16811225C2214yes—
141#16811225C2214yescomplemented
142#16811225C2214yescomplemented
143#16811225C2214yescomplemented
144#16811225C2214yescomplemented
145#16811224C2214yescomplemented
146#16811222C2214yescomplemented
147#16811221C2214yescomplemented
148#16811219C2214yescomplemented
149#16811219C2214yescomplemented
150#16811217C2214yescomplemented
151#16811213C2214yes—
152#16811213C2214yes—
153#16811212C2214yes—
154#16811212C2214yes—
155#16811209C2214yes—
156#16811206C2214yes—
157#16811203C2214yescomplemented
158#16811203C2212yescomplemented
159#16811203C2214yescomplemented
160#16811202C2212yescomplemented
161#16811198C2214yes—
162#16811196C2212yes—
163#16811191C2214yes—
164#16811189C2212yes—
165#16811179C2212yescomplemented
166#16811179C2211yescharacteristic, complemented
167#16811179C2211yescharacteristic, complemented
168#16811178C2212yescomplemented
169#16811177C2212yescomplemented
170#16811177C2212yescomplemented
171#16811177C2212yescomplemented
172#16811175C2212yescomplemented
173#16811174C2212yes—
174#16811173C2211yescharacteristic
175#16811172C2212yes—
176#16811172C2212yescomplemented
177#16811170C2212yes—
178#16811170C2212yescomplemented
179#16811170C2212yescomplemented
180#16811168C2212yes—
181C4⋊Q8×D53C2211yescharacteristic, complemented
182C4⋊Q8×D53C2212yescomplemented
183#127×D53C2211yescharacteristic, complemented
184#16811160C2212yes—
185#16811160C2214yescomplemented
186#16811160C2212yescomplemented
187#16811159C2212yes—
188#16811159C2212yescomplemented
189#16811159C2214yescomplemented
190#16811158C2212yes—
191#16811158C2214yescomplemented
192#16811158C2212yescomplemented
193#16811158C2212yescomplemented
194#16811157C2212yescomplemented
195#16811156C2214yescomplemented
196#16811156C2214yescomplemented
197#16811153C2214yescomplemented
198#16811152C2212yescomplemented
199#16811151C2214yescomplemented
200#16811151C2214yescomplemented
201#16811150C2214yescomplemented
202#16811150C2214yescomplemented
203C2×#13133212C2214yescomplemented
204#126×D53C2214yescomplemented
205#16811136C2212yes—
206#16811136C2212yescomplemented
207#16811136C2212yescomplemented
208#16811135C2211yescharacteristic
209#16811135C2211yescharacteristic, complemented
210#16811133C2212yescomplemented
211#16811132C2214yescomplemented
212#16811131C2214yescomplemented
213#16811105C2212yescomplemented
214#16811104C2214yescomplemented
215#16811103C2214yescomplemented
216#16811102C2212yescomplemented
217#16811099C2212yescomplemented
218#16811099C2214yescomplemented
219#16811095C2214yescomplemented
220#16811095C2212yescomplemented
221C4×#11719949C2212yes—
222C4×#11719949C2212yescomplemented
223C4×#11719949C2212yescomplemented
224#16811091C2211yescharacteristic
225#16811091C2214yescomplemented
226#16811091C2211yescharacteristic, complemented
227C4×#11719947C2214yescomplemented
228C4×#11719947C2212yescomplemented
229C2×C42×D53C2211yescharacteristic, complemented
230C53×#563C2214yescomplemented
231C53×#559C2212yescomplemented
232C53×#557C2212yescomplemented
233C53×#556C2212yescomplemented
234C53×#554C2212yescomplemented
235C53×#552C2214yescomplemented
236C53×#542C2214yescomplemented
237C53×#542C2212yescomplemented
238C53×#541C2211yescharacteristic, complemented
239C53×#540C2211yescharacteristic
240C53×#539C2214yescomplemented
241C53×#533C2211yescharacteristic, complemented
242C53×#529C2212yescomplemented
243C2×#11719949C2312yes—
244C2×#11719949C2312yes—
245C2×#11719949C2312yes—
246C2×#11719949C2312yes—
247C2×#11719945C2314yes—
248C2×#11719945C2314yes—
249C2×#11719945C2314yes—
250C2×#11719945C2311yescharacteristic
251C2×#11719945C2311yescharacteristic
252C2×#11719947C2312yes—
253C2×#11719947C2312yes—
254C2×#11719947C2314yes—
255C2×Q8×D53C2312yes—
256C2×Q8×D53C2314yes—
257C2×D4×D53C2314yes—
258C2×D4×D53C2312yes—
259C22×C4×D53C2312yes—
260C22×C4×D53C2311yescharacteristic
261#13133217C2311yescharacteristic
262#13133217C2312yes—
263#13133217C2311yescharacteristic
264#13133216C2314yes—
265#13133216C2314yes—
266#13133216C2314yes—
267#13133216C2312yes—
268#13133216C2312yes—
269#13133215C2314yes—
270#13133215C2314yes—
271#13133215C2312yes—
272#13133214C2314yes—
273#13133214C2311yescharacteristic
274#13133214C2311yescharacteristic
275#13133213C2314yes—
276#13133213C2314yes—
277#13133213C2314yes—
278#13133213C2312yes—
279#13133212C2314yes—
280#13133212C2314yes—
281#13133212C2314yes—
282#13133212C2314yes—
283#13133212C2314yes—
284#13133212C2314yes—
285#13133212C2314yes—
286#13133212C2314yes—
287#13133212C2314yes—
288#13133212C2314yes—
289#13133212C2314yes—
290#13133212C2314yes—
291#13133212C2314yes—
292#13133212C2314yes—
293#13133212C2312yes—
294#13133212C2314yes—
295#13133212C2312yes—
296#13133212C2312yes—
297#13133212C2312yes—
298#13133211C2314yes—
299#13133211C2314yes—
300#13133211C2314yes—
301#13133210C2314yes—
302#13133210C2314yes—
303#13133210C2314yes—
304#13133210C2314yes—
305#13133210C2314yes—
306#13133209C2311yescharacteristic
307#13133209C2312yes—
308#13133209C2311yescharacteristic
309#13133208C2312yes—
310#13133208C2314yes—
311#13133208C2312yes—
312#13133208C2314yes—
313#13133208C2314yes—
314#13133207C2314yes—
315#13133207C2314yes—
316#13133207C2314yes—
317#13133207C2314yes—
318#13133207C2314yes—
319#13133207C2314yes—
320#13133207C2314yes—
321#13133207C2314yes—
322#13133207C2314yes—
323#13133207C2314yes—
324#13133206C2314yes—
325#13133206C2314yes—
326#13133206C2314yes—
327#13133206C2314yes—
328#13133206C2312yes—
329#13133206C2312yes—
330#13133206C2314yes—
331#13133205C2312yes—
332#13133205C2312yes—
333#13133205C2314yes—
334#13133205C2314yes—
335#13133205C2314yes—
336#13133205C2311yescharacteristic
337#13133205C2311yescharacteristic
338#13133203C2314yes—
339#13133203C2314yes—
340#13133203C2314yes—
341#13133203C2314yes—
342#13133203C2314yes—
343#13133203C2314yes—
344#13133203C2314yes—
345#13133203C2314yes—
346#13133203C2314yes—
347#13133203C2314yes—
348#13133203C2314yes—
349#13133203C2314yes—
350#13133202C2314yes—
351#13133202C2314yes—
352#13133202C2314yes—
353#13133202C2314yes—
354#13133202C2314yes—
355#13133202C2314yes—
356#13133202C2314yes—
357#13133202C2314yes—
358#13133202C2312yes—
359#13133202C2314yes—
360#13133202C2314yes—
361#13133202C2314yes—
362#13133202C2314yes—
363#13133202C2314yes—
364#13133202C2314yes—
365#13133202C2312yes—
366#13133202C2312yes—
367#13133202C2312yes—
368#13133202C2314yes—
369#13133202C2314yes—
370#13133201C2314yes—
371#13133201C2314yes—
372#13133201C2314yes—
373#13133201C2314yes—
374#13133201C2314yes—
375#13133201C2311yescharacteristic
376#13133201C2312yes—
377#13133201C2311yescharacteristic
378#13133200C2314yes—
379#13133200C2314yes—
380#13133200C2314yes—
381#13133199C2314yes—
382#13133199C2314yes—
383#13133199C2314yes—
384#13133199C2314yes—
385#13133199C2314yes—
386#13133199C2314yes—
387#13133198C2314yes—
388#13133197C2312yes—
389#13133197C2312yes—
390#13133197C2312yes—
391#13133197C2314yes—
392#13133197C2314yes—
393#13133197C2312yes—
394#13133197C2312yes—
395#13133196C2312yes—
396#13133195C2314yes—
397#13133195C2314yes—
398#13133195C2314yes—
399#13133195C2314yes—
400#13133195C2314yes—
401#13133195C2314yes—
402#13133195C2314yes—
403#13133195C2314yes—
404#13133195C2314yes—
405#13133195C2314yes—
406#13133195C2314yes—
407#13133194C2314yes—
408#13133194C2314yes—
409#13133194C2314yes—
410#13133194C2314yes—
411#13133194C2314yes—
412#13133193C2312yes—
413#13133193C2312yes—
414#13133193C2312yes—
415#13133193C2314yes—
416#13133193C2314yes—
417#13133193C2314yes—
418#13133193C2312yes—
419#13133193C2312yes—
420#13133192C2314yes—
421#13133192C2314yes—
422#13133192C2314yes—
423#13133192C2312yes—
424#13133192C2312yes—
425#13133192C2314yes—
426#13133192C2314yes—
427#13133192C2314yes—
428#13133192C2314yes—
429#13133192C2314yes—
430#13133192C2312yes—
431#13133192C2314yes—
432#13133192C2314yes—
433#13133192C2312yes—
434#13133192C2312yes—
435#13133192C2312yes—
436#13133192C2312yes—
437#13133191C2314yes—
438#13133191C2314yes—
439#13133191C2314yes—
440#13133191C2314yes—
441#13133191C2312yes—
442#13133191C2312yes—
443#13133191C2312yes—
444#13133190C2314yes—
445#13133190C2314yes—
446#13133190C2314yes—
447#13133190C2314yes—
448#13133190C2314yes—
449#13133190C2314yes—
450#13133190C2314yes—
451#13133190C2314yes—
452#13133190C2314yes—
453#13133190C2314yes—
454#13133190C2314yes—
455#13133190C2314yes—
456#13133190C2314yes—
457#13133190C2314yes—
458#13133190C2314yes—
459#13133190C2314yes—
460#13133190C2314yes—
461#13133189C2314yes—
462#13133189C2314yes—
463#13133189C2314yes—
464#13133189C2314yes—
465#13133189C2314yes—
466#13133188C2312yes—
467#13133188C2312yes—
468#13133188C2312yes—
469#13133188C2314yes—
470#13133187C2314yes—
471#13133187C2314yes—
472#13133187C2314yes—
473#13133187C2314yes—
474#13133187C2314yes—
475#13133187C2312yes—
476#13133187C2311yescharacteristic
477#13133187C2314yes—
478#13133187C2311yescharacteristic
479#13133185C2314yes—
480#13133185C2314yes—
481Q8×Dic53C2314yes—
482Q8×Dic53C2312yes—
483Q8×Dic53C2312yes—
484Q8×Dic53C2312yes—
485C4×Dic106C2312yes—
486C4×Dic106C2314yes—
487C4×Dic106C2312yes—
488C4×Dic106C2312yes—
489C4×Dic106C2314yes—
490C4×Dic106C2314yes—
491C4×Dic106C2314yes—
492C4×Dic106C2314yes—
493#13133182C2314yes—
494#13133182C2314yes—
495#13133182C2314yes—
496#13133182C2314yes—
497#13133182C2314yes—
498#13133182C2314yes—
499#13133182C2312yes—
500#13133182C2312yes—
501#13133182C2312yes—
502#13133182C2314yes—
503C4×D212C2312yes—
504C4×D212C2312yes—
505C4×D212C2312yes—
506C4×D212C2312yes—
507C4×D212C2312yes—
508C4×D212C2312yes—
509C4×D212C2312yes—
510C4×D212C2312yes—
511C4×D212C2314yes—
512C4×D212C2314yes—
513C4×D212C2314yes—
514C4×D212C2312yes—
515C4×D212C2314yes—
516C4×D212C2314yes—
517D4×Dic53C2314yes—
518D4×Dic53C2314yes—
519D4×Dic53C2312yes—
520#13133179C2312yes—
521#13133179C2312yes—
522#13133179C2312yes—
523#13133179C2312yes—
524#13133179C2312yes—
525#13133179C2312yes—
526#13133179C2312yes—
527#13133179C2314yes—
528#13133179C2314yes—
529#13133179C2314yes—
530#13133179C2312yes—
531#13133179C2314yes—
532#13133179C2314yes—
533#13133179C2314yes—
534#13133179C2312yes—
535#13133179C2314yes—
536C4×C22⋊D53C2314yes—
537C4×C22⋊D53C2314yes—
538C4×C22⋊D53C2314yes—
539C4×C22⋊D53C2314yes—
540C4×C22⋊D53C2314yes—
541C4×C22⋊D53C2314yes—
542C4×C22⋊D53C2314yes—
543C4×C22⋊D53C2314yes—
544C4×C22⋊D53C2314yes—
545#13133177C2314yes—
546#13133177C2314yes—
547#13133177C2314yes—
548#13133177C2312yes—
549#13133177C2314yes—
550#13133177C2312yes—
551#13133177C2314yes—
552#13133177C2314yes—
553#13133177C2314yes—
554#13133177C2312yes—
555#13133177C2314yes—
556#13133177C2314yes—
557#13133177C2314yes—
558#13133177C2312yes—
559#13133177C2314yes—
560#13133177C2314yes—
561#13133177C2314yes—
562#13133176C2314yes—
563#13133175C2314yes—
564#13133175C2314yes—
565#13133175C2314yes—
566#13133175C2314yes—
567#13133175C2314yes—
568#13133175C2314yes—
569#13133175C2314yes—
570#13133175C2312yes—
571#13133175C2312yes—
572#13133175C2312yes—
573#13133175C2312yes—
574#13133175C2312yes—
575#13133175C2312yes—
576#13133175C2312yes—
577#13133175C2312yes—
578#13133175C2312yes—
579#13133175C2312yes—
580#13133174C2314yes—
581#13133174C2314yes—
582#13133174C2314yes—
583#13133174C2314yes—
584#13133174C2314yes—
585#13133174C2314yes—
586#13133174C2314yes—
587#13133174C2314yes—
588#13133174C2311yescharacteristic
589#13133174C2311yescharacteristic
590#13133174C2312yes—
591#13133173C2314yes—
592#13133173C2314yes—
593#13133173C2314yes—
594#13133173C2314yes—
595C2×C4⋊Dic53C2314yes—
596C2×#11719919C2314yes—
597C4⋊C4×D53C2314yes—
598C4⋊C4×D53C2314yes—
599C4⋊C4×D53C2314yes—
600C4⋊C4×D53C2314yes—
601C4⋊C4×D53C2314yes—
602C4⋊C4×D53C2312yes—
603C4⋊C4×D53C2312yes—
604C2×#11719921C2314yes—
605C2×#11719921C2314yes—
606C2×#11719921C2314yes—
607C22⋊C4×D53C2314yes—
608C22⋊C4×D53C2314yes—
609C22⋊C4×D53C2314yes—
610C2×C4×Dic53C2312yes—
611C2×C4×Dic53C2311yescharacteristic
612C2×C4×Dic53C2314yes—
613C42×D53C2312yes—
614C42×D53C2312yes—
615C42×D53C2312yes—
616C42×D53C2312yes—
617C42×D53C2314yes—
618C42×D53C2311yescharacteristic
619C42×D53C2311yescharacteristic
620C42×D53C2312yes—
621C4⋊Q8×C53C2311yescharacteristic
622C4⋊Q8×C53C2312yes—
623C4⋊Q8×C53C2312yes—
624C4⋊Q8×C53C2314yes—
625#127×C53C2311yescharacteristic
626#126×C53C2314yes—
627#126×C53C2314yes—
628#126×C53C2314yes—
629#126×C53C2314yes—
630#126×C53C2314yes—
631#125×C53C2312yes—
632#125×C53C2314yes—
633#125×C53C2314yes—
634#125×C53C2314yes—
635#125×C53C2312yes—
636#125×C53C2311yescharacteristic
637#125×C53C2311yescharacteristic
638#124×C53C2312yes—
639#124×C53C2312yes—
640#124×C53C2314yes—
641#124×C53C2314yes—
642#123×C53C2314yes—
643#123×C53C2314yes—
644#123×C53C2314yes—
645#123×C53C2314yes—
646#123×C53C2314yes—
647C22⋊Q8×C53C2314yes—
648C22⋊Q8×C53C2314yes—
649C22⋊Q8×C53C2314yes—
650C22⋊Q8×C53C2314yes—
651C22⋊Q8×C53C2314yes—
652C22⋊Q8×C53C2312yes—
653C22⋊Q8×C53C2312yes—
654C22⋊Q8×C53C2312yes—
655#121×C53C2314yes—
656#121×C53C2312yes—
657C4×Q8×C53C2312yes—
658C4×Q8×C53C2312yes—
659C4×Q8×C53C2312yes—
660C4×Q8×C53C2312yes—
661C4×Q8×C53C2312yes—
662C4×Q8×C53C2314yes—
663C4×D4×C53C2312yes—
664C4×D4×C53C2312yes—
665C4×D4×C53C2312yes—
666C4×D4×C53C2314yes—
667C4×D4×C53C2314yes—
668#117×C53C2314yes—
669#117×C53C2314yes—
670#117×C53C2311yescharacteristic
671#117×C53C2311yescharacteristic
672C2×C4⋊C4×C53C2314yes—
673C2×C42×C53C2311yescharacteristic
674C23×D53C2414yes—
675C23×D53C2411yescharacteristic
676C2×Q8×C53C2412yes—
677C2×Q8×C53C2412yes—
678C2×Q8×C53C2414yes—
679C2×Q8×C53C2412yes—
680C2×D4×C53C2412yes—
681C2×D4×C53C2414yes—
682C2×D4×C53C2414yes—
683C22×C4×C53C2411yescharacteristic
684C22×C4×C53C2412yes—
685C22×C4×C53C2414yes—
686C22×C4×C53C2414yes—
687C22×C4×C53C2414yes—
688C2×C22⋊D53C2414yes—
689C2×C22⋊D53C2414yes—
690C2×C22⋊D53C2411yescharacteristic
691C2×C22⋊D53C2414yes—
692C2×C22⋊D53C2412yes—
693C2×C22⋊D53C2414yes—
694C2×C22⋊D53C2411yescharacteristic
695C2×C22⋊D53C2414yes—
696C2×C22⋊D53C2414yes—
697C2×C22⋊D53C2414yes—
698C2×C22⋊D53C2414yes—
699C2×C22⋊D53C2414yes—
700C22×Dic53C2412yes—
701C22×Dic53C2411yescharacteristic
702C22×Dic53C2414yes—
703C22×Dic53C2414yes—
704C22×Dic53C2414yes—
705#11719949—44no—
706#11719949—44no—
707#11719949—44no—
708#11719949—44no—
709Q8×D53—48no—
710Q8×D53—44no—
711#11719947—44no—
712#11719947—44no—
713#11719947—48no—
714D4×D53—44no—
715D4×D53—48no—
716#11719945—48no—
717#11719945—48no—
718#11719945—48no—
719#11719945—42no—
720#11719945—42no—
721C2×D212C2412yes—
722C2×D212C2411yescharacteristic
723C2×D212C2414yes—
724C2×D212C2414yes—
725C2×D212C2411yescharacteristic
726C2×D212C2412yes—
727C2×D212C2412yes—
728C2×D212C2414yes—
729C2×D212C2414yes—
730C2×D212C2412yes—
731C2×D212C2412yes—
732C2×D212C2412yes—
733C2×D212C2412yes—
734C2×D212C2414yes—
735C2×D212C2414yes—
736C2×C4×D53—44no—
737C2×C4×D53—42no—
738C2×C4×D53C2412yes—
739C2×C4×D53C2412yes—
740C2×C4×D53C2412yes—
741C2×C4×D53C2412yes—
742C2×C4×D53C2412yes—
743C2×C4×D53C2412yes—
744C2×C4×D53C2412yes—
745C2×C4×D53C2412yes—
746C2×C4×D53C2411yescharacteristic
747C2×C4×D53C2411yescharacteristic
748C2×C4×D53C2412yes—
749C2×C4×D53C2412yes—
750C2×C4×D53C2412yes—
751C2×C4×D53C2414yes—
752C2×C4×D53C2414yes—
753C2×C4×D53C2414yes—
754C2×C4×D53C2414yes—
755C2×C4×D53C2414yes—
756C2×C4×D53C2414yes—
757C2×C4×D53C2414yes—
758C2×C4×D53C2414yes—
759C2×C4×D53C2414yes—
760C2×Dic106C2414yes—
761C2×Dic106C2414yes—
762C2×Dic106C2412yes—
763C2×Dic106C2411yescharacteristic
764C2×Dic106C2411yescharacteristic
765C2×Dic106C2414yes—
766C2×Dic106C2414yes—
767C4⋊C4×C53C2412yes—
768C4⋊C4×C53C2414yes—
769C4⋊C4×C53C2414yes—
770C4⋊C4×C53C2414yes—
771C4⋊C4×C53C2412yes—
772C4⋊C4×C53C2414yes—
773C4⋊C4×C53C2412yes—
774C4⋊C4×C53C2414yes—
775C4⋊C4×C53C2412yes—
776C4⋊C4×C53C2412yes—
777C4⋊C4×C53C2412yes—
778C4⋊C4×C53C2412yes—
779C4⋊C4×C53C2414yes—
780C4⋊C4×C53C2412yes—
781C4⋊C4×C53C2414yes—
782C4⋊C4×C53C2412yes—
783C4⋊C4×C53C2414yes—
784C4⋊C4×C53C2412yes—
785C4⋊C4×C53C2414yes—
786C4⋊C4×C53C2414yes—
787C22⋊C4×C53C2414yes—
788C22⋊C4×C53C2412yes—
789C22⋊C4×C53C2414yes—
790C22⋊C4×C53C2411yescharacteristic
791C22⋊C4×C53C2411yescharacteristic
792C22⋊C4×C53C2414yes—
793C22⋊C4×C53C2414yes—
794C22⋊C4×C53C2414yes—
795C22⋊C4×C53C2414yes—
796C22⋊C4×C53C2414yes—
797C22⋊C4×C53C2414yes—
798C22⋊C4×C53C2414yes—
799C42×C53C2411yescharacteristic
800C42×C53C2412yes—
801C42×C53C2411yescharacteristic
802C42×C53C2414yes—
803C42×C53C2411yescharacteristic
804C42×C53C2412yes—
805C42×C53C2411yescharacteristic
806C42×C53C2414yes—
807C42×C53C2414yes—
808C22⋊Dic53C2414yes—
809C22⋊Dic53C2414yes—
810C22⋊Dic53C2414yes—
811C22⋊Dic53C2414yes—
812C22⋊Dic53C2414yes—
813#11719921C2412yes—
814#11719921C2412yes—
815#11719921C2412yes—
816#11719921C2414yes—
817#11719921C2414yes—
818#11719921C2414yes—
819#11719921C2414yes—
820#11719921C2414yes—
821#11719921C2414yes—
822#11719921C2414yes—
823#11719921C2414yes—
824#11719921C2414yes—
825#11719921C2412yes—
826#11719921C2414yes—
827#11719921C2412yes—
828#11719921C2412yes—
829#11719921C2414yes—
830#11719921C2414yes—
831#11719921C2412yes—
832#11719921C2412yes—
833#11719921C2414yes—
834#11719921C2414yes—
835#11719921C2414yes—
836#11719921C2414yes—
837#11719921C2412yes—
838#11719921C2412yes—
839#11719921C2414yes—
840#11719921C2414yes—
841#11719921C2414yes—
842#11719921C2412yes—
843#11719921C2412yes—
844#11719921C2414yes—
845#11719921C2414yes—
846#11719921C2412yes—
847#11719921C2412yes—
848#11719921C2414yes—
849#11719921C2412yes—
850#11719921C2412yes—
851C4⋊Dic53C2412yes—
852C4⋊Dic53C2414yes—
853C4⋊Dic53C2414yes—
854C4⋊Dic53C2412yes—
855C4⋊Dic53C2412yes—
856C4⋊Dic53C2414yes—
857C4⋊Dic53C2414yes—
858C4⋊Dic53C2414yes—
859C4⋊Dic53C2412yes—
860C4⋊Dic53C2412yes—
861C4⋊Dic53C2412yes—
862C4⋊Dic53C2412yes—
863C4⋊Dic53C2412yes—
864C4⋊Dic53C2414yes—
865#11719919C2412yes—
866#11719919C2414yes—
867#11719919C2414yes—
868#11719919C2414yes—
869#11719919C2414yes—
870#11719919C2414yes—
871#11719919C2414yes—
872#11719919C2414yes—
873#11719919C2414yes—
874#11719919C2414yes—
875#11719919C2414yes—
876#11719919C2414yes—
877#11719919C2414yes—
878#11719919C2412yes—
879#11719919C2414yes—
880#11719919C2414yes—
881#11719919C2412yes—
882#11719919C2412yes—
883#11719919C2414yes—
884#11719919C2414yes—
885#11719919C2414yes—
886#11719919C2414yes—
887C4×Dic53C2411yescharacteristic
888C4×Dic53C2412yes—
889C4×Dic53C2412yes—
890C4×Dic53C2411yescharacteristic
891C4×Dic53C2412yes—
892C4×Dic53C2412yes—
893C4×Dic53C2412yes—
894C4×Dic53C2414yes—
895C4×Dic53C2414yes—
896C4×Dic53C2412yes—
897C4×Dic53C2412yes—
898C4×Dic53C2412yes—
899C4×Dic53C2412yes—
900C4×Dic53C2414yes—
901C4×Dic53C2414yes—
902C4×Dic53C2414yes—
903C4×Dic53C2414yes—
904C4×Dic53C2414yes—
905C4×Dic53C2414yes—
906C4×Dic53C2414yes—
907C23×C53C2511yescharacteristic
908C23×C53C2514yes—
909C22×D53—42no—
910C22×D53—41no—
911C22×D53—44no—
912C22×D53—44no—
913C22×D53—44no—
914C22×D53C2512yes—
915C22×D53C2511yescharacteristic
916C22×D53C2512yes—
917C22×D53C2514yes—
918C22×D53C2511yescharacteristic
919Q8×C53—24no—
920Q8×C53—44no—
921Q8×C53—42no—
922Q8×C53—42no—
923D4×C53—24no—
924D4×C53—44no—
925D4×C53—44no—
926C2×C4×C53—22no—
927C2×C4×C53—42no—
928C2×C4×C53—44no—
929C2×C4×C53—44no—
930C2×C4×C53—44no—
931C2×C4×C53C2511yescharacteristic
932C2×C4×C53C2512yes—
933C2×C4×C53C2514yes—
934C2×C4×C53C2514yes—
935C2×C4×C53C2514yes—
936C2×C4×C53C2512yes—
937C2×C4×C53C2512yes—
938C2×C4×C53C2512yes—
939C2×C4×C53C2512yes—
940C2×C4×C53C2512yes—
941C2×C4×C53C2511yescharacteristic
942C22⋊D53—28no—
943C22⋊D53—28no—
944C22⋊D53—44no—
945C22⋊D53—44no—
946C22⋊D53—44no—
947C22⋊D53—41no—
948C22⋊D53—42no—
949C22⋊D53—41no—
950C22⋊D53—44no—
951C22⋊D53—44no—
952C22⋊D53—44no—
953C22⋊D53—44no—
954C2×Dic53—24no—
955C2×Dic53—41no—
956C2×Dic53—44no—
957C2×Dic53—44no—
958C2×Dic53—44no—
959C2×Dic53C2511yescharacteristic
960C2×Dic53C2514yes—
961C2×Dic53C2514yes—
962C2×Dic53C2514yes—
963C2×Dic53C2512yes—
964C2×Dic53C2511yescharacteristic
965C2×Dic53C2512yes—
966C2×Dic53C2512yes—
967C2×Dic53C2512yes—
968D212—24no—
969D212—44no—
970D212—44no—
971D212—44no—
972D212—41no—
973D212—41no—
974D212—44no—
975D212—42no—
976D212—44no—
977D212—44no—
978D212—42no—
979D212—42no—
980D212—42no—
981D212—42no—
982D212—42no—
983C4×D53—24no—
984C4×D53—22no—
985C4×D53—24no—
986C4×D53—22no—
987C4×D53—24no—
988C4×D53—24no—
989C4×D53—24no—
990C4×D53—24no—
991C4×D53—24no—
992C4×D53—24no—
993C4×D53—42no—
994C4×D53—42no—
995C4×D53—42no—
996C4×D53—44no—
997C4×D53—44no—
998C4×D53—44no—
999C4×D53—44no—
1000C4×D53—44no—
1001C4×D53—44no—
1002C4×D53—44no—
1003C4×D53—44no—
1004C4×D53—44no—
1005Dic106—24no—
1006Dic106—28no—
1007Dic106—28no—
1008Dic106—41no—
1009Dic106—41no—
1010Dic106—44no—
1011Dic106—44no—
1012#62839—531nomaximal, Sylow
1013C22×C53—22no—
1014C22×C53—24no—
1015C22×C53—24no—
1016C22×C53—21no—
1017C22×C53—24no—
1018C22×C53C2611yescharacteristic
1019C2×D53—22no—
1020C2×D53—21no—
1021C2×D53—22no—
1022C2×D53—22no—
1023C2×D53—22no—
1024C2×D53—22no—
1025C2×D53—22no—
1026C2×D53—22no—
1027C2×D53—22no—
1028C2×D53—21no—
1029C2×D53—24no—
1030C2×D53—24no—
1031C2×D53—24no—
1032C2×D53—44no—
1033C2×D53—164no—
1034C4×C53—24no—
1035C4×C53—24no—
1036C4×C53—22no—
1037C4×C53—21no—
1038C4×C53—24no—
1039C4×C53—22no—
1040C4×C53—22no—
1041C4×C53—22no—
1042C4×C53—22no—
1043C4×C53—22no—
1044C4×C53#58512yes—
1045Dic53—24no—
1046Dic53—24no—
1047Dic53—24no—
1048Dic53—21no—
1049Dic53—22no—
1050Dic53—21no—
1051Dic53—22no—
1052Dic53—22no—
1053Dic53#58514yes—
1054#3557—534no—
1055#3557—531no—
1056#3557D5311yescharacteristic, complemented
1057#3551—534no—
1058#3551—532no—
1059#3540—534no—
1060#3540—532no—
1061#3539—531no—
1062#3539—531no—
1063#3539—534no—
1064#3524—532no—
1065#3524—532no—
1066#3524—534no—
1067#3524—534no—
1068#3521—532no—
1069#3521—532no—
1070#3521—534no—
1071#3521—534no—
1072#3511—532no—
1073#3511—532no—
1074#3511—532no—
1075#3509—532no—
1076#3509—531no—
1077#3508—532no—
1078#3508—531no—
1079#3444—531no—
1080#3444—532no—
1081C2×C53—41no—
1082C2×C53—44no—
1083C2×C53C2×#58512yes—
1084C2×C53C2×#58511yescharacteristic
1085D53—42no—
1086D53—41no—
1087D53—42no—
1088D53—44no—
1089D53—41no—
1090#563—534no—
1091#563—534no—
1092#563C2×D5314yescomplemented
1093H(3,𝔽4)—534no—
1094#560—534no—
1095#560—534no—
1096#560—534no—
1097#560—534no—
1098#559—534no—
1099#559—534no—
1100#559—534no—
1101#559—534no—
1102#559—532no—
1103#559—534no—
1104#559C2×D5312yescomplemented
1105#557—534no—
1106#557—534no—
1107#557—532no—
1108#557C2×D5312yescomplemented
1109#556—532no—
1110#556—534no—
1111#556—534no—
1112#556—534no—
1113#556—534no—
1114#556—532no—
1115#556—532no—
1116#556C2×D5312yescomplemented
1117#555—532no—
1118#555—534no—
1119#555—534no—
1120#555—534no—
1121#555—532no—
1122#555—534no—
1123#555—534no—
1124#554—534no—
1125#554—534no—
1126#554—532no—
1127#554C2×D5312yescomplemented
1128#553—534no—
1129#553—534no—
1130#553—534no—
1131#553—534no—
1132#553—534no—
1133#553—532no—
1134#553—532no—
1135#553—534no—
1136#553—534no—
1137#553—534no—
1138#553—534no—
1139#553—532no—
1140#553—532no—
1141#553—534no—
1142#552—534no—
1143#552—534no—
1144#552—534no—
1145#552—534no—
1146#552—534no—
1147#552—534no—
1148#552—532no—
1149#552—532no—
1150#552—534no—
1151#552—534no—
1152#552—534no—
1153#552—532no—
1154#552—532no—
1155#552C2×D5314yescomplemented
1156#551—534no—
1157#551—534no—
1158#551—534no—
1159#551—534no—
1160#551—534no—
1161#551—534no—
1162#550—532no—
1163#550—534no—
1164#550—532no—
1165#550—534no—
1166#548—534no—
1167#548—532no—
1168#548—532no—
1169#548—534no—
1170#548—534no—
1171#548—534no—
1172#548—532no—
1173#548—532no—
1174#547—532no—
1175#547—534no—
1176#547—532no—
1177#547—534no—
1178#546—532no—
1179#546—532no—
1180#546—534no—
1181#546—534no—
1182#546—534no—
1183#546—534no—
1184#546—532no—
1185#546—532no—
1186#542—532no—
1187#542—534no—
1188#542—534no—
1189#542—534no—
1190#542—534no—
1191#542—532no—
1192#542—534no—
1193#542—534no—
1194#542—534no—
1195#542—534no—
1196#542—534no—
1197#542—532no—
1198#542C2×D5312yescomplemented
1199#542C2×D5314yescomplemented
1200#541—531no—
1201#541—534no—
1202#541—531no—
1203#541—534no—
1204#541—531no—
1205#541C2×D5311yescharacteristic, complemented
1206#540—531no—
1207#540—531no—
1208#540—534no—
1209#540—534no—
1210#540—534no—
1211#540—534no—
1212#540—534no—
1213#540—534no—
1214#540—534no—
1215#540—534no—
1216#540—531no—
1217#540C2×D5311yescharacteristic
1218#539—534no—
1219#539—534no—
1220#539—534no—
1221#539—534no—
1222#539—534no—
1223#539C2×D5314yescomplemented
1224#538—534no—
1225#538—534no—
1226#538—534no—
1227#538—534no—
1228#538—534no—
1229#538—534no—
1230#537—532no—
1231#537—534no—
1232#537—534no—
1233#537—532no—
1234#536—534no—
1235#536—532no—
1236#535—534no—
1237#535—532no—
1238#533—532no—
1239#533—532no—
1240#533—531no—
1241#533—531no—
1242#533—532no—
1243#533—532no—
1244#533—532no—
1245#533—532no—
1246#533C2×D5311yescharacteristic, complemented
1247#532—532no—
1248#532—532no—
1249#532—532no—
1250#532—532no—
1251#532—532no—
1252#532—532no—
1253#532—532no—
1254#532—531no—
1255C2×C4⋊Q8—531no—
1256C2×C4⋊Q8—532no—
1257C2×#127—531no—
1258#529—534no—
1259#529—534no—
1260#529—532no—
1261#529—532no—
1262#529—532no—
1263#529—534no—
1264#529—532no—
1265#529—534no—
1266#529—534no—
1267#529—532no—
1268#529—532no—
1269#529—534no—
1270#529—532no—
1271#529—532no—
1272#529—534no—
1273#529—534no—
1274#529—534no—
1275#529—534no—
1276#529—532no—
1277#529C2×D5312yescomplemented
1278C2×#126—534no—
1279C2×#126—534no—
1280#525—534no—
1281#525—532no—
1282#525—532no—
1283#525—532no—
1284#525—532no—
1285#525—534no—
1286#525—531no—
1287#525—531no—
1288#520—532no—
1289#520—532no—
1290#520—534no—
1291#520—534no—
1292#519—534no—
1293#519—532no—
1294#518—534no—
1295#518—532no—
1296C4×#41—532no—
1297C4×#41—532no—
1298C4×#41—532no—
1299C4×#41—532no—
1300C4×#41—534no—
1301C4×#41—531no—
1302C4×#41—531no—
1303C4×#41—534no—
1304C22×C42—531no—
1305C53#6283911yescharacteristic, complemented, Sylow
1306C2×#41—532no—
1307C2×#41—532no—
1308C2×#41—532no—
1309C2×#41—532no—
1310C2×#41—534no—
1311C2×#41—532no—
1312C2×#41—532no—
1313C2×#41—531no—
1314C2×#41—531no—
1315C2×#41—534no—
1316C2×#41—534no—
1317C2×#41—534no—
1318C22×Q8—534no—
1319C22×Q8—532no—
1320C22×D4—534no—
1321C22×D4—532no—
1322C23×C4—532no—
1323C23×C4—531no—
1324C4⋊Q8—532no—
1325C4⋊Q8—534no—
1326C4⋊Q8—534no—
1327C4⋊Q8—532no—
1328C4⋊Q8—532no—
1329C4⋊Q8—534no—
1330C4⋊Q8—534no—
1331C4⋊Q8—534no—
1332C4⋊Q8—531no—
1333C4⋊Q8—532no—
1334C4⋊Q8—531no—
1335C4⋊Q8C22×D5311yescharacteristic
1336C4⋊Q8C22×D5312yes—
1337C4⋊Q8C22×D5312yes—
1338C4⋊Q8C22×D5314yes—
1339#127—532no—
1340#127—534no—
1341#127—534no—
1342#127—534no—
1343#127—531no—
1344#127—531no—
1345#127—534no—
1346#127C22×D5311yescharacteristic
1347#126—532no—
1348#126—534no—
1349#126—534no—
1350#126—534no—
1351#126—534no—
1352#126—534no—
1353#126—534no—
1354#126—534no—
1355#126—534no—
1356#126—534no—
1357#126—532no—
1358#126—532no—
1359#126—532no—
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#126—534no—
1369#126—534no—
1370#126—534no—
1371#126—534no—
1372#126—534no—
1373#126—534no—
1374#126C22×D5314yes—
1375#126C22×D5314yes—
1376#126C22×D5314yes—
1377#126C22×D5314yes—
1378#126C22×D5314yes—
1379#125—532no—
1380#125—532no—
1381#125—534no—
1382#125—534no—
1383#125—534no—
1384#125—534no—
1385#125—534no—
1386#125—534no—
1387#125—534no—
1388#125—534no—
1389#125—534no—
1390#125—534no—
1391#125—534no—
1392#125—534no—
1393#125—534no—
1394#125—532no—
1395#125—531no—
1396#125—531no—
1397#125C22×D5312yes—
1398#125C22×D5312yes—
1399#125C22×D5314yes—
1400#125C22×D5311yescharacteristic
1401#125C22×D5311yescharacteristic
1402#125C22×D5314yes—
1403#125C22×D5314yes—
1404#124—532no—
1405#124—532no—
1406#124—534no—
1407#124—534no—
1408#124—534no—
1409#124—534no—
1410#124—534no—
1411#124—534no—
1412#124—534no—
1413#124—534no—
1414#124—534no—
1415#124—534no—
1416#124—534no—
1417#124—534no—
1418#124—534no—
1419#124—534no—
1420#124—534no—
1421#124—534no—
1422#124—534no—
1423#124—532no—
1424#124—531no—
1425#124—531no—
1426#124—534no—
1427#124—532no—
1428#124—534no—
1429#124—534no—
1430#124C22×D5312yes—
1431#124C22×D5312yes—
1432#124C22×D5314yes—
1433#124C22×D5314yes—
1434#123—534no—
1435#123—534no—
1436#123—534no—
1437#123—534no—
1438#123—534no—
1439#123—534no—
1440#123—532no—
1441#123—532no—
1442#123—532no—
1443#123—532no—
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—534no—
1453#123—534no—
1454#123—534no—
1455#123—534no—
1456#123—534no—
1457#123—534no—
1458#123—534no—
1459#123—534no—
1460#123—531no—
1461#123—532no—
1462#123—531no—
1463#123—534no—
1464#123—534no—
1465#123—534no—
1466#123—534no—
1467#123—534no—
1468#123—534no—
1469#123—534no—
1470#123—534no—
1471#123—534no—
1472#123C22×D5314yes—
1473#123C22×D5314yes—
1474#123C22×D5314yes—
1475#123C22×D5314yes—
1476#123C22×D5314yes—
1477C22⋊Q8—532no—
1478C22⋊Q8—532no—
1479C22⋊Q8—532no—
1480C22⋊Q8—534no—
1481C22⋊Q8—532no—
1482C22⋊Q8—532no—
1483C22⋊Q8—534no—
1484C22⋊Q8—534no—
1485C22⋊Q8—532no—
1486C22⋊Q8—534no—
1487C22⋊Q8—534no—
1488C22⋊Q8—532no—
1489C22⋊Q8—532no—
1490C22⋊Q8—534no—
1491C22⋊Q8—532no—
1492C22⋊Q8—534no—
1493C22⋊Q8—534no—
1494C22⋊Q8—534no—
1495C22⋊Q8—534no—
1496C22⋊Q8—532no—
1497C22⋊Q8—534no—
1498C22⋊Q8—534no—
1499C22⋊Q8—532no—
1500C22⋊Q8—534no—
1501C22⋊Q8—534no—
1502C22⋊Q8—534no—
1503C22⋊Q8—534no—
1504C22⋊Q8—534no—
1505C22⋊Q8—534no—
1506C22⋊Q8—534no—
1507C22⋊Q8—534no—
1508C22⋊Q8—534no—
1509C22⋊Q8C22×D5312yes—
1510C22⋊Q8C22×D5312yes—
1511C22⋊Q8C22×D5312yes—
1512C22⋊Q8C22×D5314yes—
1513C22⋊Q8C22×D5314yes—
1514C22⋊Q8C22×D5314yes—
1515C22⋊Q8C22×D5314yes—
1516C22⋊Q8C22×D5314yes—
1517#121—532no—
1518#121—534no—
1519#121—534no—
1520#121—534no—
1521#121—532no—
1522#121—532no—
1523#121—534no—
1524#121—534no—
1525#121—534no—
1526#121—532no—
1527#121—532no—
1528#121—532no—
1529#121—534no—
1530#121—534no—
1531#121—534no—
1532#121—534no—
1533#121—532no—
1534#121—532no—
1535#121—532no—
1536#121—532no—
1537#121—532no—
1538#121—534no—
1539#121—534no—
1540#121—532no—
1541#121—532no—
1542#121—534no—
1543#121—534no—
1544#121—534no—
1545#121—534no—
1546#121—534no—
1547#121—534no—
1548#121—534no—
1549#121—534no—
1550#121—534no—
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#121—534no—
1567#121C22×D5312yes—
1568#121C22×D5314yes—
1569#120—534no—
1570#120—534no—
1571#120—531no—
1572#120—532no—
1573#120—534no—
1574#120—531no—
1575#120—534no—
1576#120—534no—
1577#120—534no—
1578#120—534no—
1579#120—534no—
1580C4×Q8—532no—
1581C4×Q8—532no—
1582C4×Q8—532no—
1583C4×Q8—534no—
1584C4×Q8—534no—
1585C4×Q8—532no—
1586C4×Q8—534no—
1587C4×Q8—534no—
1588C4×Q8—532no—
1589C4×Q8—532no—
1590C4×Q8—534no—
1591C4×Q8—534no—
1592C4×Q8—534no—
1593C4×Q8—534no—
1594C4×Q8—534no—
1595C4×Q8—532no—
1596C4×Q8—534no—
1597C4×Q8—534no—
1598C4×Q8—534no—
1599C4×Q8—532no—
1600C4×Q8—534no—
1601C4×Q8—532no—
1602C4×Q8C22×D5312yes—
1603C4×Q8C22×D5312yes—
1604C4×Q8C22×D5312yes—
1605C4×Q8C22×D5314yes—
1606C4×Q8C22×D5312yes—
1607C4×Q8C22×D5312yes—
1608C4×D4—532no—
1609C4×D4—534no—
1610C4×D4—534no—
1611C4×D4—534no—
1612C4×D4—534no—
1613C4×D4—534no—
1614C4×D4—534no—
1615C4×D4—534no—
1616C4×D4—534no—
1617C4×D4—534no—
1618C4×D4—534no—
1619C4×D4—534no—
1620C4×D4—532no—
1621C4×D4—534no—
1622C4×D4—534no—
1623C4×D4—532no—
1624C4×D4—532no—
1625C4×D4—532no—
1626C4×D4—532no—
1627C4×D4—534no—
1628C4×D4—532no—
1629C4×D4—532no—
1630C4×D4—532no—
1631C4×D4—532no—
1632C4×D4—534no—
1633C4×D4—534no—
1634C4×D4—534no—
1635C4×D4—534no—
1636C4×D4—534no—
1637C4×D4—534no—
1638C4×D4—534no—
1639C4×D4—532no—
1640C4×D4—532no—
1641C4×D4—532no—
1642C4×D4—532no—
1643C4×D4—534no—
1644C4×D4—534no—
1645C4×D4—534no—
1646C4×D4—534no—
1647C4×D4—534no—
1648C4×D4—534no—
1649C4×D4—534no—
1650C4×D4—534no—
1651C4×D4—534no—
1652C4×D4—534no—
1653C4×D4—532no—
1654C4×D4—532no—
1655C4×D4—532no—
1656C4×D4—532no—
1657C4×D4—534no—
1658C4×D4—532no—
1659C4×D4—532no—
1660C4×D4—532no—
1661C4×D4—534no—
1662C4×D4—532no—
1663C4×D4—534no—
1664C4×D4—534no—
1665C4×D4—534no—
1666C4×D4—532no—
1667C4×D4C22×D5314yes—
1668C4×D4C22×D5312yes—
1669C4×D4C22×D5314yes—
1670C4×D4C22×D5312yes—
1671C4×D4C22×D5312yes—
1672#117—534no—
1673#117—532no—
1674#117—532no—
1675#117—532no—
1676#117—532no—
1677#117—532no—
1678#117—532no—
1679#117—532no—
1680#117—532no—
1681#117—534no—
1682#117—534no—
1683#117—532no—
1684#117—534no—
1685#117—534no—
1686#117—534no—
1687#117—532no—
1688#117—534no—
1689#117—534no—
1690#117—534no—
1691#117—534no—
1692#117—534no—
1693#117—534no—
1694#117—531no—
1695#117—531no—
1696#117—532no—
1697#117—534no—
1698#117—534no—
1699#117—534no—
1700#117—534no—
1701#117—534no—
1702#117—534no—
1703#117—534no—
1704#117—534no—
1705#117C22×D5311yescharacteristic
1706#117C22×D5311yescharacteristic
1707#117C22×D5314yes—
1708#117C22×D5314yes—
1709C2×C4⋊C4—534no—
1710C2×C4⋊C4—534no—
1711C2×C4⋊C4—534no—
1712C2×C4⋊C4—534no—
1713C2×C4⋊C4—534no—
1714C2×C4⋊C4—532no—
1715C2×C4⋊C4—532no—
1716C2×C4⋊C4—534no—
1717C2×C4⋊C4—534no—
1718C2×C4⋊C4C22×D5314yes—
1719C2×C22⋊C4—534no—
1720C2×C22⋊C4—534no—
1721C2×C22⋊C4—534no—
1722C2×C22⋊C4—534no—
1723C2×C22⋊C4—534no—
1724C2×C22⋊C4—534no—
1725C2×C42—534no—
1726C2×C42—532no—
1727C2×C42—531no—
1728C2×C42—534no—
1729C2×C42—531no—
1730C2×C42—532no—
1731C2×C42—531no—
1732C2×C42—532no—
1733C2×C42—532no—
1734C2×C42—532no—
1735C2×C42—532no—
1736C2×C42C22×D5311yescharacteristic
1737C24—534no—
1738C24—531no—
1739#41—2122no—
1740#41—2122no—
1741#41—2128no—
1742#41—2128no—
1743#41—2128no—
1744#41—2124no—
1745#41—2124no—
1746#41—2124no—
1747#41—2124no—
1748#41—2128no—
1749#41—2124no—
1750#41—2124no—
1751C2×Q8—534no—
1752C2×Q8—534no—
1753C2×Q8—532no—
1754C2×Q8—531no—
1755C2×Q8—534no—
1756C2×Q8—534no—
1757C2×Q8—531no—
1758C2×Q8—2124no—
1759C2×Q8—2128no—
1760C2×Q8C23×D5312yes—
1761C2×Q8C23×D5312yes—
1762C2×Q8C23×D5314yes—
1763C2×Q8C23×D5312yes—
1764C2×D4—534no—
1765C2×D4—534no—
1766C2×D4—531no—
1767C2×D4—534no—
1768C2×D4—534no—
1769C2×D4—534no—
1770C2×D4—532no—
1771C2×D4—534no—
1772C2×D4—534no—
1773C2×D4—534no—
1774C2×D4—531no—
1775C2×D4—534no—
1776C2×D4—532no—
1777C2×D4—532no—
1778C2×D4—532no—
1779C2×D4—531no—
1780C2×D4—534no—
1781C2×D4—534no—
1782C2×D4—532no—
1783C2×D4—532no—
1784C2×D4—534no—
1785C2×D4—534no—
1786C2×D4—534no—
1787C2×D4—532no—
1788C2×D4—532no—
1789C2×D4—531no—
1790C2×D4—534no—
1791C2×D4—2124no—
1792C2×D4—2128no—
1793C2×D4C23×D5312yes—
1794C2×D4C23×D5314yes—
1795C2×D4C23×D5314yes—
1796C22×C4—532no—
1797C22×C4—531no—
1798C22×C4—534no—
1799C22×C4—534no—
1800C22×C4—534no—
1801C22×C4—532no—
1802C22×C4—532no—
1803C22×C4—532no—
1804C22×C4—532no—
1805C22×C4—532no—
1806C22×C4—532no—
1807C22×C4—532no—
1808C22×C4—531no—
1809C22×C4—532no—
1810C22×C4—531no—
1811C22×C4—532no—
1812C22×C4—532no—
1813C22×C4—532no—
1814C22×C4—534no—
1815C22×C4—534no—
1816C22×C4—534no—
1817C22×C4—534no—
1818C22×C4—534no—
1819C22×C4—534no—
1820C22×C4—534no—
1821C22×C4—534no—
1822C22×C4—534no—
1823C22×C4—2122no—
1824C22×C4—2124no—
1825C22×C4C23×D5311yescharacteristic
1826C22×C4C23×D5312yes—
1827C22×C4C23×D5314yes—
1828C22×C4C23×D5314yes—
1829C22×C4C23×D5314yes—
1830C4⋊C4—532no—
1831C4⋊C4—532no—
1832C4⋊C4—534no—
1833C4⋊C4—534no—
1834C4⋊C4—534no—
1835C4⋊C4—534no—
1836C4⋊C4—534no—
1837C4⋊C4—534no—
1838C4⋊C4—534no—
1839C4⋊C4—534no—
1840C4⋊C4—532no—
1841C4⋊C4—532no—
1842C4⋊C4—534no—
1843C4⋊C4—534no—
1844C4⋊C4—534no—
1845C4⋊C4—534no—
1846C4⋊C4—534no—
1847C4⋊C4—534no—
1848C4⋊C4—534no—
1849C4⋊C4—534no—
1850C4⋊C4—534no—
1851C4⋊C4—532no—
1852C4⋊C4—532no—
1853C4⋊C4—532no—
1854C4⋊C4—532no—
1855C4⋊C4—532no—
1856C4⋊C4—532no—
1857C4⋊C4—532no—
1858C4⋊C4—534no—
1859C4⋊C4—534no—
1860C4⋊C4—534no—
1861C4⋊C4—532no—
1862C4⋊C4—534no—
1863C4⋊C4—534no—
1864C4⋊C4—534no—
1865C4⋊C4—534no—
1866C4⋊C4C23×D5312yes—
1867C4⋊C4C23×D5314yes—
1868C4⋊C4C23×D5314yes—
1869C4⋊C4C23×D5312yes—
1870C4⋊C4C23×D5312yes—
1871C4⋊C4C23×D5314yes—
1872C4⋊C4C23×D5314yes—
1873C4⋊C4C23×D5314yes—
1874C4⋊C4C23×D5312yes—
1875C4⋊C4C23×D5312yes—
1876C4⋊C4C23×D5312yes—
1877C4⋊C4C23×D5312yes—
1878C4⋊C4C23×D5314yes—
1879C4⋊C4C23×D5312yes—
1880C4⋊C4C23×D5314yes—
1881C4⋊C4C23×D5314yes—
1882C4⋊C4C23×D5314yes—
1883C4⋊C4C23×D5312yes—
1884C4⋊C4C23×D5314yes—
1885C4⋊C4C23×D5312yes—
1886C22⋊C4—534no—
1887C22⋊C4—534no—
1888C22⋊C4—534no—
1889C22⋊C4—534no—
1890C22⋊C4—534no—
1891C22⋊C4—532no—
1892C22⋊C4—532no—
1893C22⋊C4—532no—
1894C22⋊C4—534no—
1895C22⋊C4—534no—
1896C22⋊C4—534no—
1897C22⋊C4—534no—
1898C22⋊C4—534no—
1899C22⋊C4—534no—
1900C22⋊C4—534no—
1901C22⋊C4—534no—
1902C22⋊C4—534no—
1903C22⋊C4—532no—
1904C22⋊C4—532no—
1905C22⋊C4—532no—
1906C22⋊C4—534no—
1907C22⋊C4—534no—
1908C22⋊C4—534no—
1909C22⋊C4—532no—
1910C22⋊C4—532no—
1911C22⋊C4—532no—
1912C22⋊C4—532no—
1913C22⋊C4—532no—
1914C22⋊C4—532no—
1915C22⋊C4—532no—
1916C22⋊C4—532no—
1917C22⋊C4—534no—
1918C22⋊C4—534no—
1919C22⋊C4—534no—
1920C22⋊C4—534no—
1921C22⋊C4—534no—
1922C22⋊C4—534no—
1923C22⋊C4—534no—
1924C22⋊C4—534no—
1925C22⋊C4—534no—
1926C22⋊C4—534no—
1927C22⋊C4—532no—
1928C22⋊C4—532no—
1929C22⋊C4C23×D5314yes—
1930C22⋊C4C23×D5314yes—
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×D5311yescharacteristic
1940C22⋊C4C23×D5311yescharacteristic
1941C42—532no—
1942C42—531no—
1943C42—532no—
1944C42—532no—
1945C42—531no—
1946C42—532no—
1947C42—532no—
1948C42—534no—
1949C42—534no—
1950C42—534no—
1951C42—534no—
1952C42—534no—
1953C42—532no—
1954C42—532no—
1955C42—532no—
1956C42—532no—
1957C42—534no—
1958C42—534no—
1959C42—534no—
1960C42—534no—
1961C42C23×D5311yescharacteristic
1962C42C23×D5312yes—
1963C42C23×D5311yescharacteristic
1964C42C23×D5314yes—
1965C42C23×D5311yescharacteristic
1966C42C23×D5312yes—
1967C42C23×D5311yescharacteristic
1968C42C23×D5314yes—
1969C42C23×D5314yes—
1970C23—531no—
1971C23—532no—
1972C23—534no—
1973C23—532no—
1974C23—531no—
1975C23—2124no—
1976C23—2124no—
1977C23—2124no—
1978C23—2122no—
1979C23—2121no—
1980C23C24×D5314yes—
1981C23C24×D5311yescharacteristic
1982Q8—24no—
1983Q8—44no—
1984Q8—42no—
1985Q8—42no—
1986Q8—1068no—
1987Q8—1068no—
1988Q8—1064no—
1989Q8—2124no—
1990Q8—2124no—
1991Q8—2121no—
1992Q8—2121no—
1993D4—24no—
1994D4—44no—
1995D4—44no—
1996D4—1068no—
1997D4—1068no—
1998D4—1064no—
1999D4—2124no—
2000D4—2122no—
2001D4—2122no—
2002D4—2124no—
2003D4—2124no—
2004D4—2122no—
2005D4—2122no—
2006D4—2124no—
2007D4—2122no—
2008D4—2122no—
2009D4—2121no—
2010D4—2121no—
2011D4—2124no—
2012D4—2124no—
2013D4—2124no—
2014D4—2124no—
2015D4—2124no—
2016D4—2124no—
2017D4—2124no—
2018D4—2122no—
2019D4—2121no—
2020D4—2121no—
2021D4—2124no—
2022D4—2124no—
2023C2×C4—22no—
2024C2×C4—42no—
2025C2×C4—44no—
2026C2×C4—44no—
2027C2×C4—44no—
2028C2×C4—532no—
2029C2×C4—532no—
2030C2×C4—532no—
2031C2×C4—531no—
2032C2×C4—531no—
2033C2×C4—534no—
2034C2×C4—534no—
2035C2×C4—534no—
2036C2×C4—532no—
2037C2×C4—1064no—
2038C2×C4—1064no—
2039C2×C4—1064no—
2040C2×C4—1064no—
2041C2×C4—1064no—
2042C2×C4—1064no—
2043C2×C4—1064no—
2044C2×C4—1064no—
2045C2×C4—1062no—
2046C2×C4—1062no—
2047C2×C4—1064no—
2048C2×C4—2122no—
2049C2×C4—2122no—
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—2124no—
2059C2×C4—2124no—
2060C2×C4—2121no—
2061C2×C4—2124no—
2062C2×C4—2124no—
2063C2×C4—2124no—
2064C2×C4C24×D5312yes—
2065C2×C4C24×D5312yes—
2066C2×C4C24×D5312yes—
2067C2×C4C24×D5314yes—
2068C2×C4C24×D5314yes—
2069C2×C4C24×D5312yes—
2070C2×C4C24×D5311yescharacteristic
2071C2×C4C24×D5314yes—
2072C2×C4C24×D5312yes—
2073C2×C4C24×D5312yes—
2074C2×C4C24×D5311yescharacteristic
2075C22—24no—
2076C22—22no—
2077C22—24no—
2078C22—21no—
2079C22—24no—
2080C22—8484no—
2081C22—1062no—
2082C22—1062no—
2083C22—1062no—
2084C22—1062no—
2085C22—1062no—
2086C22—1062no—
2087C22—1064no—
2088C22—1064no—
2089C22—1061no—
2090C22—1062no—
2091C22—1062no—
2092C22—1061no—
2093C22—1064no—
2094C22—2124no—
2095C22C25×D5311yescharacteristic
2096C4—22no—
2097C4—22no—
2098C4—22no—
2099C4—24no—
2100C4—22no—
2101C4—24no—
2102C4—22no—
2103C4—22no—
2104C4—21no—
2105C4—24no—
2106C4—534no—
2107C4—1062no—
2108C4—1064no—
2109C4—1064no—
2110C4—1062no—
2111C4—1062no—
2112C4—1061no—
2113C4—1061no—
2114C4—1064no—
2115C4#1681146012yes—
2116C2—44no—
2117C2—41no—
2118C2—2121no—
2119C2—2124no—
2120C2—2122no—
2121C2—2122no—
2122C2—2121no—
2123C2#585×D5312yes—
2124C2C2×#1681146011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3557C2
hypercenter#3557D53
hypocenterC53#62839
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3557

Complements

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

NH ≅ G/Ntype
1. #20289221C2semidirect
2. #20289215C2semidirect
3. #20289140C2semidirect
4. #20289137C2semidirect
5. #20288987C2semidirect
6. #20288980C2semidirect
7. #20288977C2semidirect
8. #20288974C2semidirect
9. #20288973C2semidirect
10. #20288827C2semidirect
11. #20288822C2semidirect
12. #20288821C2semidirect
13. #20288819C2semidirect
14. #20288786C2semidirect
15. #20288782C2semidirect
16. #20288773C2semidirect
17. #20288770C2semidirect
18. #20288623C2semidirect
19. #20288620C2semidirect
20. #20288619C2semidirect
21. #20288598C2semidirect
22. #20288597C2semidirect
23. #20288588C2semidirect
24. #20288587C2semidirect
25. #20288012C2semidirect
26. #20288009C2semidirect
27. C53×#3557C2semidirect
28. #16811375C22semidirect
29. #16811372C22semidirect
31. #16811364C22semidirect
32. #16811364C22semidirect
33. #16811363C22semidirect
34. #16811361C22semidirect
35. #16811358C22semidirect
36. #16811358C22semidirect
37. #16811357C22semidirect
38. #16811357C22semidirect
39. #16811355C22semidirect
40. #16811355C22semidirect
41. #16811351C22semidirect
42. #16811350C22semidirect
43. #16811348C22semidirect
46. #16811346C22semidirect
48. #16811344C22semidirect
50. #16811340C22semidirect
51. #16811339C22semidirect
52. #16811339C22semidirect
53. #16811338C22semidirect
54. #16811336C22semidirect
55. #16811336C22semidirect
56. #16811335C22semidirect
57. #16811335C22semidirect
58. #16811333C22semidirect
59. #16811331C22semidirect
60. #16811327C22semidirect
61. #16811326C22semidirect
62. #16811326C22semidirect
63. #16811326C22semidirect
64. #16811325C22semidirect
65. #16811324C22semidirect
66. #16811324C22semidirect
67. #16811324C22semidirect
68. #16811324C22semidirect
69. #16811324C22semidirect
70. #16811323C22semidirect
71. #16811323C22semidirect
72. #16811322C22semidirect
73. #16811321C22semidirect
74. #16811318C22semidirect
75. #16811315C22semidirect
76. #16811314C22semidirect
77. #16811314C22semidirect
78. #16811311C22semidirect
79. #16811311C22semidirect
80. #16811311C22semidirect
81. #16811310C22semidirect
82. #16811309C22semidirect
83. #16811309C22semidirect
84. #16811305C22semidirect
85. #16811305C22semidirect
86. #16811305C22semidirect
87. #16811305C22semidirect
89. #16811300C22semidirect
90. #16811300C22semidirect
92. #16811297C22semidirect
98. #16811285C22semidirect
99. #16811285C22semidirect
100. #16811283C22semidirect
101. #16811283C22semidirect
102. #16811283C22semidirect
103. #16811281C22semidirect
104. #16811281C22semidirect
105. #16811281C22semidirect
106. #16811277C22semidirect
107. #16811276C22semidirect
108. #16811274C22semidirect
109. #16811271C22semidirect
111. #16811268C22semidirect
113. #16811266C22semidirect
115. #16811265C22semidirect
116. #16811265C22semidirect
118. #16811247C22semidirect
119. #16811247C22semidirect
120. #16811246C22semidirect
121. #16811244C22semidirect
122. #16811243C22semidirect
123. #16811243C22semidirect
124. #16811243C22semidirect
125. #16811242C22semidirect
126. #16811239C22semidirect
127. #16811239C22semidirect
128. #16811239C22semidirect
129. #16811237C22semidirect
130. #16811236C22semidirect
131. #16811235C22semidirect
132. #16811234C22semidirect
133. #16811232C22semidirect
134. #16811232C22semidirect
135. #16811229C22semidirect
136. #16811229C22semidirect
137. #16811229C22semidirect
139. #16811227C22semidirect
141. #16811225C22semidirect
142. #16811225C22semidirect
143. #16811225C22semidirect
144. #16811225C22semidirect
145. #16811224C22semidirect
146. #16811222C22semidirect
147. #16811221C22semidirect
148. #16811219C22semidirect
149. #16811219C22semidirect
150. #16811217C22semidirect
157. #16811203C22semidirect
158. #16811203C22semidirect
159. #16811203C22semidirect
160. #16811202C22semidirect
165. #16811179C22semidirect
166. #16811179C22semidirect
167. #16811179C22semidirect
168. #16811178C22semidirect
169. #16811177C22semidirect
170. #16811177C22semidirect
171. #16811177C22semidirect
172. #16811175C22semidirect
176. #16811172C22semidirect
178. #16811170C22semidirect
179. #16811170C22semidirect
181. C4⋊Q8×D53C22semidirect
182. C4⋊Q8×D53C22semidirect
183. #127×D53C22semidirect
185. #16811160C22semidirect
186. #16811160C22semidirect
188. #16811159C22semidirect
189. #16811159C22semidirect
191. #16811158C22semidirect
192. #16811158C22semidirect
193. #16811158C22semidirect
194. #16811157C22semidirect
195. #16811156C22semidirect
196. #16811156C22semidirect
197. #16811153C22semidirect
198. #16811152C22semidirect
199. #16811151C22semidirect
200. #16811151C22semidirect
201. #16811150C22semidirect
202. #16811150C22semidirect
203. C2×#13133212C22semidirect
204. #126×D53C22semidirect
206. #16811136C22semidirect
207. #16811136C22semidirect
209. #16811135C22semidirect
210. #16811133C22semidirect
211. #16811132C22semidirect
212. #16811131C22semidirect
213. #16811105C22semidirect
214. #16811104C22semidirect
215. #16811103C22semidirect
216. #16811102C22semidirect
217. #16811099C22semidirect
218. #16811099C22semidirect
219. #16811095C22semidirect
220. #16811095C22semidirect
222. C4×#11719949C22semidirect
223. C4×#11719949C22semidirect
225. #16811091C22semidirect
226. #16811091C22semidirect
227. C4×#11719947C22semidirect
228. C4×#11719947C22semidirect
229. C2×C42×D53C22semidirect
230. C53×#563C22semidirect
231. C53×#559C22semidirect
232. C53×#557C22semidirect
233. C53×#556C22semidirect
234. C53×#554C22semidirect
235. C53×#552C22semidirect
236. C53×#542C22semidirect
237. C53×#542C22semidirect
238. C53×#541C22semidirect
240. C53×#539C22semidirect
241. C53×#533C22semidirect
242. C53×#529C22semidirect
1056. #3557D53semidirect
1092. #563C2×D53semidirect
1104. #559C2×D53semidirect
1108. #557C2×D53semidirect
1116. #556C2×D53semidirect
1127. #554C2×D53semidirect
1155. #552C2×D53semidirect
1198. #542C2×D53semidirect
1199. #542C2×D53semidirect
1205. #541C2×D53semidirect
1223. #539C2×D53semidirect
1246. #533C2×D53semidirect
1277. #529C2×D53semidirect
1305. C53#62839semidirect

Maximal subgroups

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

subgroupindex
#202892212
#202892152
#202891402
#202891372
#202889872
#202889802
#202889772
#202889742
#202889732
#202888272
#202888222
#202888212
#202888192
#202887862
#202887822
#202887732
#202887702
#202886232
#202886202
#202886192
#202885982
#202885972
#202885882
#202885872
#202880122
#202880092
C53×#35572
#6283953