Finite Group Databasebeta

← #28292901

Subgroups — #28292901

Order 13568.

6636 conjugacy classes of subgroups.

The subgroup lattice has 2128 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289395C214yesmaximal, complemented
2#20289371C214yesmaximal, complemented
3#20289337C214yesmaximal, complemented
4#20289258C214yesmaximal, complemented
5#20289221C211yesmaximal, characteristic, complemented
6#20289137C212yesmaximal, complemented
7#20288963C211yesmaximal, characteristic, complemented
8#20288953C211yesmaximal, characteristic, complemented
9#20288940C212yesmaximal, complemented
10#20288711C212yesmaximal, complemented
11#20288703C212yesmaximal, complemented
12#20288696C212yesmaximal, complemented
13#20288692C212yesmaximal, complemented
14#20288679C212yesmaximal, complemented
15#20288675C212yesmaximal, complemented
16#20288661C214yesmaximal, complemented
17#20288658C212yesmaximal, complemented
18#20288654C212yesmaximal, complemented
19#20288645C214yesmaximal, complemented
20#20288638C211yesmaximal, characteristic, complemented
21#20288634C211yesmaximal, characteristic, complemented
22#20288607C212yesmaximal, complemented
23#20288433C214yesmaximal, complemented
24#20288410C214yesmaximal, complemented
25#20288012C211yesmaximal, characteristic, complemented
26#529×D53C212yesmaximal, complemented
27C53×#3557C211yesmaximal, characteristic, complemented
28#16811375C2214yescomplemented
29#16811375C2214yescomplemented
30#16811372C2214yescomplemented
31#16811370C2214yescomplemented
32#16811367C2214yescomplemented
33#16811364C2214yescomplemented
34#16811361C2214yes—
35#16811358C2212yescomplemented
36#16811357C2214yescomplemented
37#16811355C2214yescomplemented
38#16811351C2212yescomplemented
39#16811346C2214yescomplemented
40#16811346C2212yescomplemented
41#16811344C2214yescomplemented
42#16811340C2214yescomplemented
43#16811340C2214yescomplemented
44#16811338C2214yescomplemented
45#16811336C2214yescomplemented
46#16811336C2214yescomplemented
47#16811334C2214yescomplemented
48#16811334C2212yescomplemented
49#16811333C2212yescomplemented
50#16811333C2212yescomplemented
51#16811327C2214yescomplemented
52#16811326C2212yes—
53#16811326C2212yescomplemented
54#16811326C2214yescomplemented
55#16811326C2214yescomplemented
56#16811324C2214yescomplemented
57#16811324C2214yescomplemented
58#16811324C2214yescomplemented
59#16811323C2212yes—
60#16811323C2212yescomplemented
61#16811321C2214yescomplemented
62#16811320C2214yescomplemented
63#16811318C2214yescomplemented
64#16811318C2214yescomplemented
65#16811316C2214yescomplemented
66#16811314C2212yescomplemented
67#16811314C2214yescomplemented
68#16811314C2212yescomplemented
69#16811311C2214yescomplemented
70#16811311C2212yescomplemented
71#16811311C2212yescomplemented
72#16811310C2214yescomplemented
73#16811308C2214yescomplemented
74#16811307C2214yescomplemented
75#16811307C2214yescomplemented
76#16811306C2214yescomplemented
77#16811305C2214yescomplemented
78#16811305C2214yescomplemented
79#16811305C2214yescomplemented
80#16811305C2214yescomplemented
81#16811303C2214yescomplemented
82#16811303C2214yescomplemented
83#16811302C2214yescomplemented
84#16811300C2214yescomplemented
85#16811300C2214yescomplemented
86#16811300C2214yescomplemented
87#16811298C2214yescomplemented
88#16811298C2214yescomplemented
89#16811298C2214yescomplemented
90#16811298C2214yescomplemented
91#16811297C2214yescomplemented
92#16811296C2214yescomplemented
93#16811296C2214yescomplemented
94#16811296C2214yescomplemented
95Q8×D212C2212yescomplemented
96#16811288C2212yescomplemented
97#16811285C2212yescomplemented
98#16811285C2212yescomplemented
99#16811281C2212yescomplemented
100#16811281C2212yescomplemented
101#16811278C2212yescomplemented
102#16811276C2212yescomplemented
103#16811276C2214yescomplemented
104#16811275C2214yescomplemented
105#16811268C2212yescomplemented
106#16811268C2212yescomplemented
107#16811266C2212yescomplemented
108#16811266C2212yescomplemented
109#16811266C2214yescomplemented
110#16811266C2214yescomplemented
111#16811265C2214yescomplemented
112#16811265C2214yescomplemented
113#16811264C2214yescomplemented
114#16811264C2214yescomplemented
115D4×D212C2212yes—
116#16811258C2212yes—
117#16811257C2214yes—
118#16811253C2214yescomplemented
119#16811248C2214yescomplemented
120#16811247C2212yescomplemented
121#16811247C2214yescomplemented
122#16811246C2214yescomplemented
123#16811244C2212yescomplemented
124#16811243C2214yescomplemented
125#16811243C2214yescomplemented
126#16811242C2214yescomplemented
127#16811242C2212yescomplemented
128#16811236C2214yescomplemented
129#16811236C2211yescharacteristic, complemented
130#16811235C2211yescharacteristic, complemented
131#16811234C2214yescomplemented
132#16811234C2211yescharacteristic, complemented
133#16811233C2214yescomplemented
134#16811230C2214yescomplemented
135#16811229C2211yescharacteristic, complemented
136#16811228C2211yescharacteristic
137#16811227C2211yescharacteristic, complemented
138#16811225C2214yescomplemented
139#16811224C2214yescomplemented
140#16811222C2214yescomplemented
141#16811221C2214yescomplemented
142#16811221C2214yescomplemented
143#16811221C2214yescomplemented
144#16811219C2214yescomplemented
145#16811219C2214yescomplemented
146#16811219C2214yescomplemented
147#16811216C2214yescomplemented
148#16811214C2214yescomplemented
149#16811213C2214yescomplemented
150#16811212C2214yescomplemented
151#16811212C2214yescomplemented
152#16811212C2214yescomplemented
153#16811209C2214yes—
154#16811209C2214yescomplemented
155#16811209C2214yescomplemented
156#16811209C2214yescomplemented
157#16811207C2214yescomplemented
158#16811206C2214yescomplemented
159#16811203C2212yescomplemented
160#16811203C2214yescomplemented
161#16811202C2212yescomplemented
162#16811196C2212yescomplemented
163#16811189C2212yes—
164#16811184C2214yes—
165#16811178C2212yescomplemented
166#16811178C2212yescomplemented
167#16811174C2212yescomplemented
168#16811174C2211yescharacteristic, complemented
169#16811173C2211yescharacteristic, complemented
170#16811171C2211yescharacteristic, complemented
171#16811160C2212yescomplemented
172#16811160C2212yescomplemented
173#16811160C2212yescomplemented
174#16811160C2212yescomplemented
175#16811160C2214yescomplemented
176#16811160C2212yescomplemented
177#16811159C2212yescomplemented
178#16811159C2212yescomplemented
179#16811159C2212yescomplemented
180#16811158C2212yescomplemented
181#16811158C2212yescomplemented
182#16811158C2214yescomplemented
183#16811158C2212yescomplemented
184#16811157C2212yescomplemented
185#16811156C2214yescomplemented
186#16811156C2214yescomplemented
187#16811155C2212yescomplemented
188#16811155C2212yescomplemented
189#16811155C2212yescomplemented
190#16811154C2212yescomplemented
191#16811153C2214yescomplemented
192#16811152C2212yescomplemented
193#16811151C2214yescomplemented
194#16811151C2214yescomplemented
195#16811150C2214yescomplemented
196#126×D53C2214yescomplemented
197#125×D53C2211yescharacteristic, complemented
198#125×D53C2211yescharacteristic, complemented
199#125×D53C2212yescomplemented
200#124×D53C2212yescomplemented
201#124×D53C2212yescomplemented
202#16811136C2212yescomplemented
203#16811136C2212yescomplemented
204#16811136C2214yescomplemented
205#16811135C2211yescharacteristic
206#16811135C2211yescharacteristic, complemented
207#16811132C2214yescomplemented
208C2×#13133202C2214yescomplemented
209#123×D53C2214yescomplemented
210#123×D53C2214yescomplemented
211C22⋊Q8×D53C2212yescomplemented
212#121×D53C2212yes—
213#16811105C2212yescomplemented
214#16811105C2214yescomplemented
215#16811104C2214yescomplemented
216#16811102C2212yescomplemented
217#16811099C2212yescomplemented
218#16811097C2214yescomplemented
219#16811095C2212yescomplemented
220#16811095C2214yescomplemented
221C4×#11719949C2212yescomplemented
222C4×#11719949C2212yescomplemented
223#16811091C2211yescharacteristic, complemented
224#16811091C2211yescharacteristic, complemented
225C4×Q8×D53C2212yescomplemented
226C4×D4×D53C2214yescomplemented
227C4×D4×D53C2212yescomplemented
228#117×D53C2214yescomplemented
229C2×C42×D53C2211yescharacteristic, complemented
230C53×#563C2214yescomplemented
231C53×#559C2212yescomplemented
232C53×#557C2212yescomplemented
233C53×#556C2212yescomplemented
234C53×#554C2212yescomplemented
235C53×#552C2214yescomplemented
236C53×#542C2212yescomplemented
237C53×#542C2214yescomplemented
238C53×#541C2211yescharacteristic, complemented
239C53×#540C2211yescharacteristic
240C53×#539C2214yescomplemented
241C53×#533C2211yescharacteristic, complemented
242C53×#529C2212yescomplemented
243C2×#11719949C2312yes—
244C2×#11719949C2314yes—
245C2×#11719949C2312yes—
246C2×#11719949C2312yes—
247C2×#11719945C2314yes—
248C2×#11719945C2311yescharacteristic
249C2×#11719945C2311yescharacteristic
250C2×#11719947C2312yes—
251C2×Q8×D53C2312yes—
252C2×Q8×D53C2312yes—
253C22×D212C2314yes—
254C2×D4×D53C2314yes—
255C2×D4×D53C2314yes—
256C2×D4×D53C2312yes—
257C2×D4×D53C2312yes—
258C22×C4×D53C2312yes—
259C22×C4×D53C2311yescharacteristic
260C22×C4×D53C2314yes—
261#13133217C2312yes—
262#13133217C2311yescharacteristic
263#13133217C2314yes—
264#13133217C2311yescharacteristic
265#13133216C2314yes—
266#13133216C2314yes—
267#13133215C2314yes—
268#13133214C2311yescharacteristic
269#13133214C2311yescharacteristic
270#13133213C2314yes—
271#13133212C2314yes—
272#13133212C2314yes—
273#13133212C2314yes—
274#13133212C2314yes—
275#13133212C2314yes—
276#13133212C2314yes—
277#13133212C2312yes—
278#13133212C2314yes—
279#13133212C2314yes—
280#13133212C2314yes—
281#13133212C2314yes—
282#13133212C2312yes—
283#13133212C2314yes—
284#13133212C2314yes—
285#13133212C2312yes—
286#13133212C2312yes—
287#13133212C2314yes—
288#13133212C2314yes—
289#13133212C2314yes—
290#13133211C2314yes—
291#13133211C2314yes—
292#13133211C2314yes—
293#13133210C2314yes—
294#13133210C2314yes—
295#13133210C2314yes—
296#13133210C2314yes—
297#13133210C2314yes—
298#13133210C2314yes—
299#13133210C2314yes—
300#13133210C2314yes—
301#13133210C2314yes—
302#13133209C2314yes—
303#13133209C2311yescharacteristic
304#13133209C2312yes—
305#13133209C2311yescharacteristic
306#13133208C2314yes—
307#13133208C2314yes—
308#13133208C2314yes—
309#13133208C2314yes—
310#13133208C2312yes—
311#13133208C2312yes—
312#13133208C2312yes—
313#13133208C2312yes—
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#13133206C2312yes—
327#13133206C2312yes—
328#13133206C2312yes—
329#13133205C2312yes—
330#13133205C2312yes—
331#13133205C2314yes—
332#13133205C2314yes—
333#13133205C2311yescharacteristic
334#13133205C2311yescharacteristic
335#13133204C2312yes—
336#13133203C2314yes—
337#13133203C2314yes—
338#13133203C2314yes—
339#13133203C2314yes—
340#13133203C2314yes—
341#13133203C2314yes—
342#13133203C2314yes—
343#13133203C2314yes—
344#13133203C2314yes—
345#13133203C2314yes—
346#13133202C2314yes—
347#13133202C2314yes—
348#13133202C2314yes—
349#13133202C2314yes—
350#13133202C2314yes—
351#13133202C2314yes—
352#13133202C2314yes—
353#13133202C2314yes—
354#13133202C2314yes—
355#13133202C2314yes—
356#13133202C2314yes—
357#13133202C2314yes—
358#13133202C2314yes—
359#13133202C2314yes—
360#13133202C2314yes—
361#13133202C2314yes—
362#13133202C2314yes—
363#13133202C2312yes—
364#13133202C2314yes—
365#13133202C2312yes—
366#13133202C2312yes—
367#13133202C2312yes—
368#13133201C2314yes—
369#13133201C2314yes—
370#13133201C2314yes—
371#13133201C2314yes—
372#13133201C2312yes—
373#13133201C2311yescharacteristic
374#13133201C2311yescharacteristic
375#13133200C2314yes—
376#13133200C2314yes—
377#13133200C2314yes—
378#13133199C2314yes—
379#13133199C2314yes—
380#13133199C2314yes—
381#13133199C2314yes—
382#13133199C2314yes—
383#13133199C2314yes—
384#13133199C2314yes—
385#13133199C2314yes—
386#13133199C2314yes—
387#13133199C2314yes—
388#13133198C2314yes—
389#13133198C2314yes—
390#13133197C2312yes—
391#13133197C2312yes—
392#13133197C2314yes—
393#13133197C2312yes—
394#13133197C2314yes—
395#13133197C2314yes—
396#13133197C2314yes—
397#13133197C2314yes—
398#13133197C2312yes—
399#13133197C2312yes—
400#13133196C2314yes—
401#13133196C2312yes—
402#13133195C2314yes—
403#13133195C2314yes—
404#13133195C2314yes—
405#13133195C2314yes—
406#13133195C2314yes—
407#13133195C2314yes—
408#13133195C2314yes—
409#13133195C2314yes—
410#13133195C2314yes—
411#13133194C2314yes—
412#13133194C2314yes—
413#13133194C2314yes—
414#13133194C2314yes—
415#13133194C2314yes—
416#13133193C2312yes—
417#13133193C2312yes—
418#13133193C2314yes—
419#13133193C2314yes—
420#13133193C2314yes—
421#13133193C2314yes—
422#13133193C2314yes—
423#13133193C2312yes—
424#13133193C2312yes—
425#13133193C2312yes—
426#13133193C2314yes—
427#13133193C2314yes—
428#13133192C2312yes—
429#13133192C2314yes—
430#13133192C2314yes—
431#13133192C2314yes—
432#13133192C2314yes—
433#13133192C2314yes—
434#13133192C2312yes—
435#13133192C2312yes—
436#13133192C2312yes—
437#13133192C2314yes—
438#13133192C2312yes—
439#13133192C2314yes—
440#13133192C2312yes—
441#13133192C2312yes—
442#13133191C2314yes—
443#13133191C2314yes—
444#13133191C2314yes—
445#13133191C2312yes—
446#13133191C2312yes—
447#13133191C2312yes—
448#13133190C2314yes—
449#13133190C2314yes—
450#13133190C2314yes—
451#13133190C2314yes—
452#13133190C2314yes—
453#13133190C2314yes—
454#13133190C2314yes—
455#13133190C2314yes—
456#13133190C2314yes—
457#13133190C2314yes—
458#13133190C2314yes—
459#13133189C2314yes—
460#13133189C2314yes—
461#13133189C2314yes—
462#13133188C2312yes—
463#13133188C2314yes—
464#13133188C2314yes—
465#13133188C2312yes—
466#13133188C2312yes—
467#13133188C2314yes—
468#13133187C2314yes—
469#13133187C2314yes—
470#13133187C2314yes—
471#13133187C2314yes—
472#13133187C2311yescharacteristic
473#13133187C2311yescharacteristic
474#13133187C2314yes—
475#13133187C2312yes—
476#13133187C2314yes—
477#13133187C2314yes—
478#13133185C2314yes—
479#13133185C2314yes—
480#13133185C2314yes—
481Q8×Dic53C2314yes—
482Q8×Dic53C2312yes—
483Q8×Dic53C2312yes—
484Q8×Dic53C2312yes—
485C4×Dic106C2312yes—
486C4×Dic106C2312yes—
487C4×Dic106C2312yes—
488C4×Dic106C2314yes—
489C4×Dic106C2314yes—
490#13133182C2312yes—
491#13133182C2314yes—
492#13133182C2314yes—
493#13133182C2314yes—
494#13133182C2312yes—
495#13133182C2312yes—
496#13133182C2314yes—
497C4×D212C2314yes—
498C4×D212C2312yes—
499C4×D212C2312yes—
500C4×D212C2314yes—
501C4×D212C2312yes—
502C4×D212C2314yes—
503C4×D212C2314yes—
504C4×D212C2312yes—
505C4×D212C2312yes—
506C4×D212C2312yes—
507C4×D212C2314yes—
508C4×D212C2314yes—
509C4×D212C2312yes—
510C4×D212C2312yes—
511C4×D212C2314yes—
512C4×D212C2312yes—
513C4×D212C2314yes—
514D4×Dic53C2314yes—
515D4×Dic53C2314yes—
516D4×Dic53C2312yes—
517#13133179C2314yes—
518#13133179C2314yes—
519#13133179C2314yes—
520#13133179C2314yes—
521#13133179C2312yes—
522#13133179C2314yes—
523#13133179C2314yes—
524#13133179C2314yes—
525#13133179C2314yes—
526#13133179C2312yes—
527#13133179C2312yes—
528#13133179C2312yes—
529#13133179C2312yes—
530#13133179C2312yes—
531#13133179C2312yes—
532#13133179C2312yes—
533#13133179C2312yes—
534C4×C22⋊D53C2314yes—
535C4×C22⋊D53C2314yes—
536C4×C22⋊D53C2314yes—
537C4×C22⋊D53C2314yes—
538C4×C22⋊D53C2314yes—
539C4×C22⋊D53C2314yes—
540C4×C22⋊D53C2314yes—
541C4×C22⋊D53C2314yes—
542C4×C22⋊D53C2314yes—
543#13133177C2314yes—
544#13133177C2314yes—
545#13133177C2314yes—
546#13133177C2312yes—
547#13133177C2312yes—
548#13133177C2314yes—
549#13133177C2314yes—
550#13133177C2312yes—
551#13133177C2314yes—
552#13133177C2312yes—
553#13133177C2314yes—
554#13133176C2314yes—
555#13133176C2314yes—
556#13133176C2314yes—
557#13133175C2312yes—
558#13133175C2312yes—
559#13133175C2314yes—
560#13133175C2312yes—
561#13133175C2312yes—
562#13133175C2314yes—
563#13133175C2314yes—
564#13133175C2314yes—
565#13133175C2312yes—
566#13133175C2314yes—
567#13133175C2312yes—
568#13133175C2314yes—
569#13133175C2312yes—
570#13133175C2312yes—
571#13133174C2314yes—
572#13133174C2314yes—
573#13133174C2314yes—
574#13133174C2314yes—
575#13133174C2314yes—
576#13133174C2314yes—
577#13133174C2314yes—
578#13133174C2314yes—
579#13133174C2312yes—
580#13133174C2311yescharacteristic
581#13133174C2311yescharacteristic
582#13133173C2314yes—
583#13133173C2314yes—
584#13133173C2314yes—
585C2×#11719919C2314yes—
586C4⋊C4×D53C2314yes—
587C4⋊C4×D53C2314yes—
588C4⋊C4×D53C2312yes—
589C4⋊C4×D53C2314yes—
590C4⋊C4×D53C2312yes—
591C4⋊C4×D53C2312yes—
592C4⋊C4×D53C2314yes—
593C4⋊C4×D53C2314yes—
594C4⋊C4×D53C2312yes—
595C4⋊C4×D53C2314yes—
596C4⋊C4×D53C2314yes—
597C4⋊C4×D53C2314yes—
598C2×#11719921C2314yes—
599C2×#11719921C2314yes—
600C2×#11719921C2314yes—
601C22⋊C4×D53C2314yes—
602C22⋊C4×D53C2314yes—
603C22⋊C4×D53C2314yes—
604C22⋊C4×D53C2314yes—
605C22⋊C4×D53C2314yes—
606C22⋊C4×D53C2314yes—
607C22⋊C4×D53C2314yes—
608C22⋊C4×D53C2314yes—
609C22⋊C4×D53C2314yes—
610C22⋊C4×D53C2314yes—
611C2×C4×Dic53C2311yescharacteristic
612C2×C4×Dic53C2312yes—
613C42×D53C2312yes—
614C42×D53C2312yes—
615C42×D53C2312yes—
616C42×D53C2312yes—
617C42×D53C2314yes—
618C42×D53C2312yes—
619C42×D53C2311yescharacteristic
620C42×D53C2311yescharacteristic
621C4⋊Q8×C53C2312yes—
622C4⋊Q8×C53C2314yes—
623C4⋊Q8×C53C2311yescharacteristic
624C4⋊Q8×C53C2312yes—
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×C53C2312yes—
656#121×C53C2314yes—
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×C53C2314yes—
666C4×D4×C53C2314yes—
667C4×D4×C53C2312yes—
668#117×C53C2314yes—
669#117×C53C2314yes—
670#117×C53C2311yescharacteristic
671#117×C53C2311yescharacteristic
672C2×C4⋊C4×C53C2314yes—
673C2×C42×C53C2311yescharacteristic
674C23×D53C2411yescharacteristic
675C23×D53C2414yes—
676C23×D53C2414yes—
677C2×Q8×C53C2412yes—
678C2×Q8×C53C2412yes—
679C2×Q8×C53C2414yes—
680C2×Q8×C53C2412yes—
681C2×D4×C53C2412yes—
682C2×D4×C53C2414yes—
683C2×D4×C53C2414yes—
684C22×C4×C53C2411yescharacteristic
685C22×C4×C53C2412yes—
686C22×C4×C53C2414yes—
687C22×C4×C53C2414yes—
688C22×C4×C53C2414yes—
689C2×C22⋊D53C2414yes—
690C2×C22⋊D53C2412yes—
691C2×C22⋊D53C2411yescharacteristic
692C2×C22⋊D53C2411yescharacteristic
693C2×C22⋊D53C2414yes—
694C2×C22⋊D53C2414yes—
695C2×C22⋊D53C2414yes—
696C2×C22⋊D53C2414yes—
697C2×C22⋊D53C2414yes—
698C2×C22⋊D53C2414yes—
699C22×Dic53C2412yes—
700C22×Dic53C2411yescharacteristic
701C22×Dic53C2414yes—
702C22×Dic53C2414yes—
703#11719949—48no—
704#11719949—44no—
705#11719949—44no—
706#11719949—44no—
707Q8×D53—44no—
708Q8×D53—44no—
709#11719947—44no—
710D4×D53—44no—
711D4×D53—44no—
712D4×D53—48no—
713D4×D53—48no—
714#11719945—42no—
715#11719945—42no—
716#11719945—48no—
717C2×D212—48no—
718C2×D212C2412yes—
719C2×D212C2412yes—
720C2×D212C2414yes—
721C2×D212C2412yes—
722C2×D212C2412yes—
723C2×D212C2412yes—
724C2×D212C2411yescharacteristic
725C2×D212C2414yes—
726C2×D212C2411yescharacteristic
727C2×D212C2414yes—
728C2×D212C2412yes—
729C2×D212C2412yes—
730C2×D212C2414yes—
731C2×D212C2414yes—
732C2×C4×D53—42no—
733C2×C4×D53—48no—
734C2×C4×D53—44no—
735C2×C4×D53C2412yes—
736C2×C4×D53C2412yes—
737C2×C4×D53C2412yes—
738C2×C4×D53C2411yescharacteristic
739C2×C4×D53C2411yescharacteristic
740C2×C4×D53C2412yes—
741C2×C4×D53C2414yes—
742C2×C4×D53C2412yes—
743C2×C4×D53C2412yes—
744C2×C4×D53C2412yes—
745C2×C4×D53C2414yes—
746C2×C4×D53C2412yes—
747C2×C4×D53C2412yes—
748C2×C4×D53C2414yes—
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×Dic106C2412yes—
760C2×Dic106C2411yescharacteristic
761C2×Dic106C2414yes—
762C2×Dic106C2411yescharacteristic
763C2×Dic106C2414yes—
764C2×Dic106C2414yes—
765C4⋊C4×C53C2412yes—
766C4⋊C4×C53C2414yes—
767C4⋊C4×C53C2414yes—
768C4⋊C4×C53C2414yes—
769C4⋊C4×C53C2412yes—
770C4⋊C4×C53C2414yes—
771C4⋊C4×C53C2412yes—
772C4⋊C4×C53C2414yes—
773C4⋊C4×C53C2412yes—
774C4⋊C4×C53C2412yes—
775C4⋊C4×C53C2412yes—
776C4⋊C4×C53C2412yes—
777C4⋊C4×C53C2414yes—
778C4⋊C4×C53C2412yes—
779C4⋊C4×C53C2414yes—
780C4⋊C4×C53C2412yes—
781C4⋊C4×C53C2414yes—
782C4⋊C4×C53C2412yes—
783C4⋊C4×C53C2414yes—
784C4⋊C4×C53C2414yes—
785C22⋊C4×C53C2414yes—
786C22⋊C4×C53C2412yes—
787C22⋊C4×C53C2414yes—
788C22⋊C4×C53C2411yescharacteristic
789C22⋊C4×C53C2411yescharacteristic
790C22⋊C4×C53C2414yes—
791C22⋊C4×C53C2414yes—
792C22⋊C4×C53C2414yes—
793C22⋊C4×C53C2414yes—
794C22⋊C4×C53C2414yes—
795C22⋊C4×C53C2414yes—
796C22⋊C4×C53C2414yes—
797C42×C53C2411yescharacteristic
798C42×C53C2412yes—
799C42×C53C2411yescharacteristic
800C42×C53C2414yes—
801C42×C53C2411yescharacteristic
802C42×C53C2412yes—
803C42×C53C2411yescharacteristic
804C42×C53C2414yes—
805C42×C53C2414yes—
806C22⋊Dic53C2414yes—
807C22⋊Dic53C2414yes—
808C22⋊Dic53C2414yes—
809C22⋊Dic53C2414yes—
810C22⋊Dic53C2414yes—
811C22⋊Dic53C2414yes—
812C22⋊Dic53C2414yes—
813#11719921C2412yes—
814#11719921C2414yes—
815#11719921C2414yes—
816#11719921C2414yes—
817#11719921C2412yes—
818#11719921C2412yes—
819#11719921C2414yes—
820#11719921C2414yes—
821#11719921C2414yes—
822#11719921C2414yes—
823#11719921C2414yes—
824#11719921C2414yes—
825#11719921C2414yes—
826#11719921C2414yes—
827#11719921C2414yes—
828#11719921C2414yes—
829#11719921C2414yes—
830#11719921C2412yes—
831#11719921C2414yes—
832#11719921C2412yes—
833#11719921C2412yes—
834#11719921C2414yes—
835#11719921C2414yes—
836#11719921C2412yes—
837#11719921C2412yes—
838#11719921C2414yes—
839#11719921C2412yes—
840#11719921C2412yes—
841#11719921C2414yes—
842#11719921C2414yes—
843#11719921C2414yes—
844#11719921C2412yes—
845#11719921C2412yes—
846#11719921C2414yes—
847#11719921C2412yes—
848#11719921C2412yes—
849#11719921C2412yes—
850#11719921C2412yes—
851C4⋊Dic53C2414yes—
852C4⋊Dic53C2412yes—
853C4⋊Dic53C2412yes—
854C4⋊Dic53C2414yes—
855C4⋊Dic53C2414yes—
856C4⋊Dic53C2414yes—
857C4⋊Dic53C2414yes—
858C4⋊Dic53C2414yes—
859C4⋊Dic53C2414yes—
860C4⋊Dic53C2412yes—
861C4⋊Dic53C2412yes—
862C4⋊Dic53C2412yes—
863C4⋊Dic53C2412yes—
864C4⋊Dic53C2412yes—
865C4⋊Dic53C2412yes—
866C4⋊Dic53C2414yes—
867#11719919C2414yes—
868#11719919C2414yes—
869#11719919C2412yes—
870#11719919C2414yes—
871#11719919C2414yes—
872#11719919C2414yes—
873#11719919C2414yes—
874#11719919C2414yes—
875#11719919C2414yes—
876#11719919C2414yes—
877#11719919C2414yes—
878#11719919C2414yes—
879#11719919C2414yes—
880#11719919C2414yes—
881#11719919C2414yes—
882#11719919C2412yes—
883#11719919C2414yes—
884#11719919C2414yes—
885#11719919C2412yes—
886#11719919C2414yes—
887#11719919C2412yes—
888#11719919C2414yes—
889C4×Dic53C2411yescharacteristic
890C4×Dic53C2412yes—
891C4×Dic53C2412yes—
892C4×Dic53C2411yescharacteristic
893C4×Dic53C2412yes—
894C4×Dic53C2412yes—
895C4×Dic53C2412yes—
896C4×Dic53C2414yes—
897C4×Dic53C2414yes—
898C4×Dic53C2412yes—
899C4×Dic53C2412yes—
900C4×Dic53C2414yes—
901C4×Dic53C2412yes—
902C4×Dic53C2412yes—
903C4×Dic53C2414yes—
904C4×Dic53C2414yes—
905C4×Dic53C2414yes—
906C4×Dic53C2414yes—
907C23×C53C2511yescharacteristic
908C23×C53C2514yes—
909C22×D53—24no—
910C22×D53—28no—
911C22×D53—41no—
912C22×D53—44no—
913C22×D53—44no—
914C22×D53—44no—
915C22×D53—44no—
916C22×D53—44no—
917C22×D53C2511yescharacteristic
918C22×D53C2511yescharacteristic
919C22×D53C2512yes—
920C22×D53C2514yes—
921C22×D53C2512yes—
922Q8×C53—24no—
923Q8×C53—42no—
924Q8×C53—44no—
925Q8×C53—42no—
926D4×C53—24no—
927D4×C53—44no—
928D4×C53—44no—
929C2×C4×C53—22no—
930C2×C4×C53—44no—
931C2×C4×C53—42no—
932C2×C4×C53—44no—
933C2×C4×C53—44no—
934C2×C4×C53C2514yes—
935C2×C4×C53C2511yescharacteristic
936C2×C4×C53C2512yes—
937C2×C4×C53C2512yes—
938C2×C4×C53C2514yes—
939C2×C4×C53C2512yes—
940C2×C4×C53C2512yes—
941C2×C4×C53C2514yes—
942C2×C4×C53C2512yes—
943C2×C4×C53C2512yes—
944C2×C4×C53C2511yescharacteristic
945C22⋊D53—28no—
946C22⋊D53—42no—
947C22⋊D53—41no—
948C22⋊D53—44no—
949C22⋊D53—41no—
950C22⋊D53—44no—
951C22⋊D53—44no—
952C22⋊D53—44no—
953C22⋊D53—44no—
954C22⋊D53—44no—
955C2×Dic53—41no—
956C2×Dic53—44no—
957C2×Dic53—42no—
958C2×Dic53—44no—
959C2×Dic53C2514yes—
960C2×Dic53C2512yes—
961C2×Dic53C2512yes—
962C2×Dic53C2511yescharacteristic
963C2×Dic53C2514yes—
964C2×Dic53C2514yes—
965C2×Dic53C2511yescharacteristic
966C2×Dic53C2512yes—
967C2×Dic53C2512yes—
968D212—24no—
969D212—28no—
970D212—24no—
971D212—24no—
972D212—24no—
973D212—24no—
974D212—44no—
975D212—44no—
976D212—41no—
977D212—41no—
978D212—44no—
979D212—44no—
980D212—42no—
981D212—42no—
982C4×D53—24no—
983C4×D53—28no—
984C4×D53—24no—
985C4×D53—24no—
986C4×D53—24no—
987C4×D53—22no—
988C4×D53—22no—
989C4×D53—42no—
990C4×D53—44no—
991C4×D53—42no—
992C4×D53—44no—
993C4×D53—42no—
994C4×D53—44no—
995C4×D53—44no—
996C4×D53—44no—
997C4×D53—44no—
998C4×D53—44no—
999C4×D53—44no—
1000C4×D53—44no—
1001C4×D53—44no—
1002C4×D53—42no—
1003C4×D53—42no—
1004C4×D53—42no—
1005C4×D53—42no—
1006Dic106—24no—
1007Dic106—41no—
1008Dic106—41no—
1009Dic106—44no—
1010Dic106—44no—
1011Dic106—44no—
1012#62829—531nomaximal, Sylow
1013C22×C53—21no—
1014C22×C53—24no—
1015C22×C53—22no—
1016C22×C53—24no—
1017C22×C53—24no—
1018C22×C53C2611yescharacteristic
1019C2×D53—22no—
1020C2×D53—22no—
1021C2×D53—22no—
1022C2×D53—21no—
1023C2×D53—21no—
1024C2×D53—22no—
1025C2×D53—22no—
1026C2×D53—24no—
1027C2×D53—22no—
1028C2×D53—24no—
1029C2×D53—22no—
1030C2×D53—24no—
1031C2×D53—44no—
1032C2×D53—88no—
1033C2×D53—164no—
1034C2×D53#58514yes—
1035C4×C53—24no—
1036C4×C53—21no—
1037C4×C53—22no—
1038C4×C53—22no—
1039C4×C53—24no—
1040C4×C53—22no—
1041C4×C53—22no—
1042C4×C53—22no—
1043C4×C53—24no—
1044C4×C53—22no—
1045C4×C53#58512yes—
1046Dic53—24no—
1047Dic53—22no—
1048Dic53—22no—
1049Dic53—21no—
1050Dic53—24no—
1051Dic53—21no—
1052Dic53—24no—
1053Dic53—22no—
1054Dic53—22no—
1055#3566—534no—
1056#3566—534no—
1057#3564—534no—
1058#3560—534no—
1059#3557—531no—
1060#3557D5311yescharacteristic, complemented
1061#3551—532no—
1062#3538—531no—
1063#3537—531no—
1064#3536—532no—
1065#3516—532no—
1066#3516—532no—
1067#3515—532no—
1068#3515—532no—
1069#3514—532no—
1070#3514—532no—
1071#3513—532no—
1072#3513—532no—
1073#3513—534no—
1074#3513—534no—
1075#3512—531no—
1076#3512—531no—
1077#3510—532no—
1078#3493—534no—
1079#3491—534no—
1080#3444—531no—
1081C2×#529—532no—
1082C2×C53—41no—
1083C2×C53—44no—
1084C2×C53C2×#58512yes—
1085C2×C53C2×#58511yescharacteristic
1086D53—24no—
1087D53—41no—
1088D53—41no—
1089D53—44no—
1090D53—42no—
1091#563—534no—
1092#563—534no—
1093#563—534no—
1094#563C2×D5314yescomplemented
1095#562—534no—
1096#562—534no—
1097#560—534no—
1098#560—534no—
1099#559—534no—
1100#559—534no—
1101#559—532no—
1102#559C2×D5312yescomplemented
1103#557—532no—
1104#557C2×D5312yescomplemented
1105#556—534no—
1106#556—534no—
1107#556—534no—
1108#556—534no—
1109#556—532no—
1110#556C2×D5312yescomplemented
1111#555—534no—
1112#555—534no—
1113#555—534no—
1114#554—534no—
1115#554—532no—
1116#554—534no—
1117#554—532no—
1118#554—532no—
1119#554C2×D5312yescomplemented
1120#553—534no—
1121#553—534no—
1122#553—534no—
1123#553—532no—
1124#553—534no—
1125#553—532no—
1126#553—534no—
1127#553—534no—
1128#553—534no—
1129#553—534no—
1130#553—534no—
1131#553—532no—
1132#553—532no—
1133#553—534no—
1134#552—534no—
1135#552—534no—
1136#552—534no—
1137#552—534no—
1138#552—534no—
1139#552—532no—
1140#552—532no—
1141#552—534no—
1142#552—534no—
1143#552—534no—
1144#552—534no—
1145#552—532no—
1146#552—532no—
1147#552—534no—
1148#552—534no—
1149#552C2×D5314yescomplemented
1150#551—534no—
1151#551—534no—
1152#551—534no—
1153#551—534no—
1154#551—534no—
1155#551—534no—
1156#551—534no—
1157#551—534no—
1158#551—534no—
1159#551—534no—
1160#551—534no—
1161#551—534no—
1162#551—534no—
1163#551—534no—
1164D4×Q8—532no—
1165D4×Q8—532no—
1166#548—532no—
1167#548—532no—
1168#548—532no—
1169#548—532no—
1170#547—532no—
1171#547—534no—
1172#547—534no—
1173#547—532no—
1174#546—534no—
1175#546—532no—
1176#546—532no—
1177#546—534no—
1178#546—534no—
1179#546—534no—
1180#546—534no—
1181#546—534no—
1182#546—532no—
1183#546—532no—
1184D42—532no—
1185D42—534no—
1186D42—532no—
1187#544—534no—
1188#543—534no—
1189#542—532no—
1190#542—534no—
1191#542—532no—
1192#542—534no—
1193#542—534no—
1194#542—534no—
1195#542—534no—
1196#542—532no—
1197#542C2×D5312yescomplemented
1198#542C2×D5314yescomplemented
1199#541—531no—
1200#541—534no—
1201#541—534no—
1202#541—531no—
1203#541—534no—
1204#541—534no—
1205#541—531no—
1206#541C2×D5311yescharacteristic, complemented
1207#540—531no—
1208#540—531no—
1209#540—534no—
1210#540—534no—
1211#540—531no—
1212#540C2×D5311yescharacteristic
1213#539—534no—
1214#539—534no—
1215#539—534no—
1216#539—534no—
1217#539—534no—
1218#539—534no—
1219#539—534no—
1220#539—534no—
1221#539—534no—
1222#539C2×D5314yescomplemented
1223#538—534no—
1224#538—534no—
1225#538—534no—
1226#538—534no—
1227#538—534no—
1228#538—534no—
1229#538—534no—
1230#538—534no—
1231#538—534no—
1232#538—534no—
1233#537—534no—
1234#537—532no—
1235#537—532no—
1236#536—532no—
1237#535—532no—
1238#534—534no—
1239#533—532no—
1240#533—532no—
1241#533C2×D5311yescharacteristic, complemented
1242#532—532no—
1243#532—531no—
1244#532—531no—
1245#532—531no—
1246#529—534no—
1247#529—534no—
1248#529—532no—
1249#529—532no—
1250#529—532no—
1251#529—534no—
1252#529—532no—
1253#529—534no—
1254#529—532no—
1255#529—532no—
1256#529—532no—
1257#529—532no—
1258#529—532no—
1259#529—532no—
1260#529—532no—
1261#529—534no—
1262#529—532no—
1263#529—532no—
1264#529—534no—
1265#529—532no—
1266#529—532no—
1267#529—532no—
1268#529—534no—
1269#529—534no—
1270#529—532no—
1271#529C2×D5312yescomplemented
1272C2×#126—534no—
1273C2×#125—532no—
1274C2×#125—531no—
1275C2×#125—531no—
1276C2×#124—532no—
1277C2×#124—532no—
1278#525—532no—
1279#525—532no—
1280#525—534no—
1281#525—534no—
1282#525—531no—
1283#525—531no—
1284C2×#123—534no—
1285C2×#123—534no—
1286C2×#123—534no—
1287C2×C22⋊Q8—532no—
1288C2×#121—532no—
1289#520—534no—
1290#520—532no—
1291#520—532no—
1292#520—534no—
1293#519—532no—
1294#518—534no—
1295#518—532no—
1296#518—534no—
1297C4×#41—532no—
1298C4×#41—532no—
1299C4×#41—531no—
1300C4×#41—531no—
1301C2×C4×Q8—532no—
1302C2×C4×D4—534no—
1303C2×C4×D4—532no—
1304C2×#117—534no—
1305C22×C42—531no—
1306C53#6282911yescharacteristic, complemented, Sylow
1307C2×#41—532no—
1308C2×#41—532no—
1309C2×#41—534no—
1310C2×#41—532no—
1311C2×#41—532no—
1312C2×#41—531no—
1313C2×#41—531no—
1314C2×#41—534no—
1315C22×Q8—532no—
1316C22×Q8—532no—
1317C22×D4—534no—
1318C22×D4—532no—
1319C22×D4—534no—
1320C22×D4—532no—
1321C22×D4—534no—
1322C23×C4—534no—
1323C23×C4—532no—
1324C23×C4—531no—
1325C4⋊Q8—534no—
1326C4⋊Q8—534no—
1327C4⋊Q8—534no—
1328C4⋊Q8—531no—
1329C4⋊Q8—531no—
1330C4⋊Q8—532no—
1331C4⋊Q8—534no—
1332C4⋊Q8C22×D5312yes—
1333C4⋊Q8C22×D5311yescharacteristic
1334C4⋊Q8C22×D5312yes—
1335C4⋊Q8C22×D5314yes—
1336#127—534no—
1337#127—531no—
1338#127—531no—
1339#127C22×D5311yescharacteristic
1340#126—534no—
1341#126—534no—
1342#126—534no—
1343#126—532no—
1344#126—532no—
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—534no—
1355#126—534no—
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#126—534no—
1369#126—534no—
1370#126—534no—
1371#126C22×D5314yes—
1372#126C22×D5314yes—
1373#126C22×D5314yes—
1374#126C22×D5314yes—
1375#126C22×D5314yes—
1376#125—532no—
1377#125—532no—
1378#125—534no—
1379#125—534no—
1380#125—534no—
1381#125—534no—
1382#125—532no—
1383#125—532no—
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#125—534no—
1398#125C22×D5312yes—
1399#125C22×D5311yescharacteristic
1400#125C22×D5311yescharacteristic
1401#125C22×D5312yes—
1402#125C22×D5314yes—
1403#125C22×D5314yes—
1404#125C22×D5314yes—
1405#124—532no—
1406#124—532no—
1407#124—532no—
1408#124—534no—
1409#124—534no—
1410#124—532no—
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—532no—
1422#124—532no—
1423#124—531no—
1424#124—531no—
1425#124—534no—
1426#124—534no—
1427#124C22×D5312yes—
1428#124C22×D5312yes—
1429#124C22×D5314yes—
1430#124C22×D5314yes—
1431#123—534no—
1432#123—534no—
1433#123—534no—
1434#123—534no—
1435#123—534no—
1436#123—532no—
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—532no—
1448#123—532no—
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—534no—
1461#123—534no—
1462#123—534no—
1463#123—532no—
1464#123—531no—
1465#123—531no—
1466#123—534no—
1467#123—534no—
1468#123—534no—
1469#123—534no—
1470#123—534no—
1471#123—534no—
1472#123—534no—
1473#123—534no—
1474#123—534no—
1475#123C22×D5314yes—
1476#123C22×D5314yes—
1477#123C22×D5314yes—
1478#123C22×D5314yes—
1479#123C22×D5314yes—
1480C22⋊Q8—532no—
1481C22⋊Q8—532no—
1482C22⋊Q8—532no—
1483C22⋊Q8—534no—
1484C22⋊Q8—532no—
1485C22⋊Q8—532no—
1486C22⋊Q8—534no—
1487C22⋊Q8—534no—
1488C22⋊Q8—534no—
1489C22⋊Q8—534no—
1490C22⋊Q8—534no—
1491C22⋊Q8—534no—
1492C22⋊Q8—532no—
1493C22⋊Q8—534no—
1494C22⋊Q8—534no—
1495C22⋊Q8—532no—
1496C22⋊Q8—532no—
1497C22⋊Q8—532no—
1498C22⋊Q8—534no—
1499C22⋊Q8—532no—
1500C22⋊Q8—532no—
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⋊Q8—534no—
1510C22⋊Q8—534no—
1511C22⋊Q8—534no—
1512C22⋊Q8—534no—
1513C22⋊Q8—534no—
1514C22⋊Q8—534no—
1515C22⋊Q8—534no—
1516C22⋊Q8—534no—
1517C22⋊Q8—534no—
1518C22⋊Q8C22×D5312yes—
1519C22⋊Q8C22×D5312yes—
1520C22⋊Q8C22×D5312yes—
1521C22⋊Q8C22×D5314yes—
1522C22⋊Q8C22×D5314yes—
1523C22⋊Q8C22×D5314yes—
1524C22⋊Q8C22×D5314yes—
1525C22⋊Q8C22×D5314yes—
1526#121—532no—
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—532no—
1536#121—532no—
1537#121—532no—
1538#121—534no—
1539#121—534no—
1540#121—534no—
1541#121—532no—
1542#121—532no—
1543#121—532no—
1544#121—532no—
1545#121—532no—
1546#121—534no—
1547#121—534no—
1548#121—532no—
1549#121—534no—
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×D5314yes—
1568#120—534no—
1569#120—534no—
1570#120—534no—
1571#120—532no—
1572#120—531no—
1573#120—531no—
1574#120—534no—
1575#120—534no—
1576#120—534no—
1577#120—534no—
1578#120—534no—
1579#120—534no—
1580#120—534no—
1581C4×Q8—532no—
1582C4×Q8—532no—
1583C4×Q8—532no—
1584C4×Q8—534no—
1585C4×Q8—532no—
1586C4×Q8—534no—
1587C4×Q8—532no—
1588C4×Q8—532no—
1589C4×Q8—534no—
1590C4×Q8—534no—
1591C4×Q8—534no—
1592C4×Q8—532no—
1593C4×Q8—534no—
1594C4×Q8—534no—
1595C4×Q8—532no—
1596C4×Q8—532no—
1597C4×Q8C22×D5312yes—
1598C4×Q8C22×D5312yes—
1599C4×Q8C22×D5312yes—
1600C4×Q8C22×D5312yes—
1601C4×Q8C22×D5312yes—
1602C4×Q8C22×D5314yes—
1603C4×D4—532no—
1604C4×D4—534no—
1605C4×D4—534no—
1606C4×D4—534no—
1607C4×D4—534no—
1608C4×D4—534no—
1609C4×D4—534no—
1610C4×D4—534no—
1611C4×D4—534no—
1612C4×D4—534no—
1613C4×D4—534no—
1614C4×D4—534no—
1615C4×D4—532no—
1616C4×D4—534no—
1617C4×D4—532no—
1618C4×D4—532no—
1619C4×D4—532no—
1620C4×D4—532no—
1621C4×D4—532no—
1622C4×D4—532no—
1623C4×D4—532no—
1624C4×D4—532no—
1625C4×D4—534no—
1626C4×D4—534no—
1627C4×D4—534no—
1628C4×D4—534no—
1629C4×D4—534no—
1630C4×D4—534no—
1631C4×D4—534no—
1632C4×D4—534no—
1633C4×D4—534no—
1634C4×D4—534no—
1635C4×D4—532no—
1636C4×D4—532no—
1637C4×D4—532no—
1638C4×D4—532no—
1639C4×D4—534no—
1640C4×D4—534no—
1641C4×D4—534no—
1642C4×D4—534no—
1643C4×D4—534no—
1644C4×D4—532no—
1645C4×D4—532no—
1646C4×D4—532no—
1647C4×D4—532no—
1648C4×D4—532no—
1649C4×D4—532no—
1650C4×D4—532no—
1651C4×D4—534no—
1652C4×D4—534no—
1653C4×D4—534no—
1654C4×D4—534no—
1655C4×D4—532no—
1656C4×D4—534no—
1657C4×D4—534no—
1658C4×D4—534no—
1659C4×D4—532no—
1660C4×D4C22×D5314yes—
1661C4×D4C22×D5312yes—
1662C4×D4C22×D5314yes—
1663C4×D4C22×D5312yes—
1664C4×D4C22×D5312yes—
1665#117—534no—
1666#117—534no—
1667#117—534no—
1668#117—534no—
1669#117—534no—
1670#117—532no—
1671#117—532no—
1672#117—532no—
1673#117—532no—
1674#117—532no—
1675#117—532no—
1676#117—534no—
1677#117—532no—
1678#117—534no—
1679#117—532no—
1680#117—534no—
1681#117—534no—
1682#117—534no—
1683#117—534no—
1684#117—534no—
1685#117—534no—
1686#117—534no—
1687#117—532no—
1688#117—531no—
1689#117—531no—
1690#117—534no—
1691#117—534no—
1692#117—534no—
1693#117—534no—
1694#117—534no—
1695#117—534no—
1696#117C22×D5314yes—
1697#117C22×D5311yescharacteristic
1698#117C22×D5311yescharacteristic
1699#117C22×D5314yes—
1700C2×C4⋊C4—534no—
1701C2×C4⋊C4—534no—
1702C2×C4⋊C4—534no—
1703C2×C4⋊C4—532no—
1704C2×C4⋊C4—534no—
1705C2×C4⋊C4—532no—
1706C2×C4⋊C4—534no—
1707C2×C4⋊C4—534no—
1708C2×C4⋊C4—534no—
1709C2×C4⋊C4—532no—
1710C2×C4⋊C4—532no—
1711C2×C4⋊C4—534no—
1712C2×C4⋊C4—534no—
1713C2×C4⋊C4C22×D5314yes—
1714C2×C22⋊C4—534no—
1715C2×C22⋊C4—534no—
1716C2×C22⋊C4—534no—
1717C2×C22⋊C4—534no—
1718C2×C22⋊C4—534no—
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×C22⋊C4—534no—
1726C2×C22⋊C4—534no—
1727C2×C42—531no—
1728C2×C42—532no—
1729C2×C42—532no—
1730C2×C42—534no—
1731C2×C42—532no—
1732C2×C42—532no—
1733C2×C42—531no—
1734C2×C42—531no—
1735C2×C42—532no—
1736C2×C42—532no—
1737C2×C42C22×D5311yescharacteristic
1738C24—531no—
1739C24—534no—
1740C24—534no—
1741#41—2122no—
1742#41—2122no—
1743#41—2128no—
1744#41—2124no—
1745#41—2124no—
1746#41—2124no—
1747#41—2128no—
1748#41—2124no—
1749C2×Q8—532no—
1750C2×Q8—531no—
1751C2×Q8—534no—
1752C2×Q8—534no—
1753C2×Q8—534no—
1754C2×Q8—531no—
1755C2×Q8—2124no—
1756C2×Q8—2124no—
1757C2×Q8C23×D5312yes—
1758C2×Q8C23×D5314yes—
1759C2×Q8C23×D5312yes—
1760C2×Q8C23×D5312yes—
1761C2×D4—534no—
1762C2×D4—532no—
1763C2×D4—534no—
1764C2×D4—534no—
1765C2×D4—534no—
1766C2×D4—534no—
1767C2×D4—534no—
1768C2×D4—531no—
1769C2×D4—531no—
1770C2×D4—534no—
1771C2×D4—532no—
1772C2×D4—532no—
1773C2×D4—532no—
1774C2×D4—534no—
1775C2×D4—532no—
1776C2×D4—532no—
1777C2×D4—531no—
1778C2×D4—534no—
1779C2×D4—534no—
1780C2×D4—532no—
1781C2×D4—532no—
1782C2×D4—534no—
1783C2×D4—534no—
1784C2×D4—531no—
1785C2×D4—2128no—
1786C2×D4—2124no—
1787C2×D4—2124no—
1788C2×D4—2128no—
1789C2×D4—2128no—
1790C2×D4C23×D5312yes—
1791C2×D4C23×D5314yes—
1792C2×D4C23×D5314yes—
1793C22×C4—532no—
1794C22×C4—531no—
1795C22×C4—534no—
1796C22×C4—534no—
1797C22×C4—532no—
1798C22×C4—532no—
1799C22×C4—532no—
1800C22×C4—531no—
1801C22×C4—531no—
1802C22×C4—532no—
1803C22×C4—534no—
1804C22×C4—532no—
1805C22×C4—532no—
1806C22×C4—532no—
1807C22×C4—534no—
1808C22×C4—532no—
1809C22×C4—532no—
1810C22×C4—534no—
1811C22×C4—532no—
1812C22×C4—532no—
1813C22×C4—534no—
1814C22×C4—534no—
1815C22×C4—534no—
1816C22×C4—534no—
1817C22×C4—534no—
1818C22×C4—534no—
1819C22×C4—534no—
1820C22×C4—534no—
1821C22×C4—2122no—
1822C22×C4—2128no—
1823C22×C4—2124no—
1824C22×C4C23×D5311yescharacteristic
1825C22×C4C23×D5312yes—
1826C22×C4C23×D5314yes—
1827C22×C4C23×D5314yes—
1828C22×C4C23×D5314yes—
1829C4⋊C4—532no—
1830C4⋊C4—534no—
1831C4⋊C4—532no—
1832C4⋊C4—534no—
1833C4⋊C4—534no—
1834C4⋊C4—532no—
1835C4⋊C4—534no—
1836C4⋊C4—534no—
1837C4⋊C4—532no—
1838C4⋊C4—534no—
1839C4⋊C4—534no—
1840C4⋊C4—534no—
1841C4⋊C4—534no—
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—534no—
1852C4⋊C4—534no—
1853C4⋊C4—534no—
1854C4⋊C4—534no—
1855C4⋊C4—532no—
1856C4⋊C4—532no—
1857C4⋊C4—534no—
1858C4⋊C4—534no—
1859C4⋊C4—534no—
1860C4⋊C4—532no—
1861C4⋊C4—532no—
1862C4⋊C4—532no—
1863C4⋊C4—532no—
1864C4⋊C4—532no—
1865C4⋊C4—532no—
1866C4⋊C4—534no—
1867C4⋊C4C23×D5312yes—
1868C4⋊C4C23×D5312yes—
1869C4⋊C4C23×D5312yes—
1870C4⋊C4C23×D5314yes—
1871C4⋊C4C23×D5314yes—
1872C4⋊C4C23×D5314yes—
1873C4⋊C4C23×D5314yes—
1874C4⋊C4C23×D5314yes—
1875C4⋊C4C23×D5314yes—
1876C4⋊C4C23×D5314yes—
1877C4⋊C4C23×D5312yes—
1878C4⋊C4C23×D5314yes—
1879C4⋊C4C23×D5312yes—
1880C4⋊C4C23×D5312yes—
1881C4⋊C4C23×D5312yes—
1882C4⋊C4C23×D5312yes—
1883C4⋊C4C23×D5314yes—
1884C4⋊C4C23×D5314yes—
1885C4⋊C4C23×D5312yes—
1886C4⋊C4C23×D5312yes—
1887C22⋊C4—534no—
1888C22⋊C4—534no—
1889C22⋊C4—534no—
1890C22⋊C4—534no—
1891C22⋊C4—534no—
1892C22⋊C4—534no—
1893C22⋊C4—534no—
1894C22⋊C4—532no—
1895C22⋊C4—532no—
1896C22⋊C4—534no—
1897C22⋊C4—534no—
1898C22⋊C4—534no—
1899C22⋊C4—532no—
1900C22⋊C4—532no—
1901C22⋊C4—534no—
1902C22⋊C4—534no—
1903C22⋊C4—532no—
1904C22⋊C4—532no—
1905C22⋊C4—534no—
1906C22⋊C4—534no—
1907C22⋊C4—534no—
1908C22⋊C4—534no—
1909C22⋊C4—534no—
1910C22⋊C4—534no—
1911C22⋊C4—534no—
1912C22⋊C4—534no—
1913C22⋊C4—534no—
1914C22⋊C4—534no—
1915C22⋊C4—534no—
1916C22⋊C4—534no—
1917C22⋊C4—532no—
1918C22⋊C4—532no—
1919C22⋊C4—532no—
1920C22⋊C4—532no—
1921C22⋊C4—534no—
1922C22⋊C4—532no—
1923C22⋊C4—532no—
1924C22⋊C4—534no—
1925C22⋊C4—534no—
1926C22⋊C4—532no—
1927C22⋊C4—532no—
1928C22⋊C4—534no—
1929C22⋊C4—534no—
1930C22⋊C4—532no—
1931C22⋊C4—532no—
1932C22⋊C4C23×D5314yes—
1933C22⋊C4C23×D5314yes—
1934C22⋊C4C23×D5314yes—
1935C22⋊C4C23×D5314yes—
1936C22⋊C4C23×D5314yes—
1937C22⋊C4C23×D5314yes—
1938C22⋊C4C23×D5314yes—
1939C22⋊C4C23×D5314yes—
1940C22⋊C4C23×D5314yes—
1941C22⋊C4C23×D5312yes—
1942C22⋊C4C23×D5311yescharacteristic
1943C22⋊C4C23×D5311yescharacteristic
1944C42—531no—
1945C42—532no—
1946C42—531no—
1947C42—532no—
1948C42—532no—
1949C42—532no—
1950C42—532no—
1951C42—532no—
1952C42—532no—
1953C42—534no—
1954C42—534no—
1955C42—534no—
1956C42—532no—
1957C42—532no—
1958C42—534no—
1959C42—534no—
1960C42—534no—
1961C42—534no—
1962C42C23×D5311yescharacteristic
1963C42C23×D5312yes—
1964C42C23×D5311yescharacteristic
1965C42C23×D5314yes—
1966C42C23×D5311yescharacteristic
1967C42C23×D5312yes—
1968C42C23×D5311yescharacteristic
1969C42C23×D5314yes—
1970C42C23×D5314yes—
1971C23—532no—
1972C23—534no—
1973C23—532no—
1974C23—531no—
1975C23—531no—
1976C23—1068no—
1977C23—1064no—
1978C23—2124no—
1979C23—2124no—
1980C23—2124no—
1981C23—2124no—
1982C23—2124no—
1983C23—2121no—
1984C23C24×D5314yes—
1985C23C24×D5311yescharacteristic
1986Q8—24no—
1987Q8—44no—
1988Q8—42no—
1989Q8—42no—
1990Q8—1064no—
1991Q8—2124no—
1992Q8—2124no—
1993Q8—2124no—
1994Q8—2121no—
1995Q8—2121no—
1996D4—24no—
1997D4—44no—
1998D4—44no—
1999D4—1064no—
2000D4—1068no—
2001D4—1064no—
2002D4—1064no—
2003D4—1064no—
2004D4—1068no—
2005D4—1064no—
2006D4—2124no—
2007D4—2124no—
2008D4—2124no—
2009D4—2122no—
2010D4—2122no—
2011D4—2121no—
2012D4—2121no—
2013D4—2124no—
2014D4—2124no—
2015D4—2124no—
2016D4—2124no—
2017D4—2124no—
2018D4—2124no—
2019D4—2121no—
2020D4—2121no—
2021D4—2122no—
2022D4—2124no—
2023C2×C4—22no—
2024C2×C4—44no—
2025C2×C4—42no—
2026C2×C4—44no—
2027C2×C4—44no—
2028C2×C4—532no—
2029C2×C4—532no—
2030C2×C4—532no—
2031C2×C4—534no—
2032C2×C4—532no—
2033C2×C4—534no—
2034C2×C4—534no—
2035C2×C4—531no—
2036C2×C4—531no—
2037C2×C4—1064no—
2038C2×C4—1068no—
2039C2×C4—1064no—
2040C2×C4—1064no—
2041C2×C4—1064no—
2042C2×C4—1062no—
2043C2×C4—1062no—
2044C2×C4—2122no—
2045C2×C4—2124no—
2046C2×C4—2124no—
2047C2×C4—2122no—
2048C2×C4—2122no—
2049C2×C4—2124no—
2050C2×C4—2124no—
2051C2×C4—2124no—
2052C2×C4—2124no—
2053C2×C4—2124no—
2054C2×C4—2122no—
2055C2×C4—2122no—
2056C2×C4—2124no—
2057C2×C4—2122no—
2058C2×C4—2122no—
2059C2×C4—2124no—
2060C2×C4—2124no—
2061C2×C4—2122no—
2062C2×C4—2124no—
2063C2×C4—2121no—
2064C2×C4—2124no—
2065C2×C4C24×D5312yes—
2066C2×C4C24×D5312yes—
2067C2×C4C24×D5312yes—
2068C2×C4C24×D5312yes—
2069C2×C4C24×D5311yescharacteristic
2070C2×C4C24×D5314yes—
2071C2×C4C24×D5312yes—
2072C2×C4C24×D5314yes—
2073C2×C4C24×D5312yes—
2074C2×C4C24×D5314yes—
2075C2×C4C24×D5311yescharacteristic
2076C22—24no—
2077C22—22no—
2078C22—24no—
2079C22—21no—
2080C22—24no—
2081C22—534no—
2082C22—8484no—
2083C22—1062no—
2084C22—1062no—
2085C22—1062no—
2086C22—1062no—
2087C22—1064no—
2088C22—1062no—
2089C22—1062no—
2090C22—1064no—
2091C22—1062no—
2092C22—1061no—
2093C22—1061no—
2094C22—1064no—
2095C22—4248no—
2096C22—2124no—
2097C22C25×D5311yescharacteristic
2098C4—22no—
2099C4—24no—
2100C4—22no—
2101C4—22no—
2102C4—22no—
2103C4—24no—
2104C4—22no—
2105C4—22no—
2106C4—21no—
2107C4—24no—
2108C4—1062no—
2109C4—1062no—
2110C4—1064no—
2111C4—1064no—
2112C4—1061no—
2113C4—1061no—
2114C4—1062no—
2115C4—1062no—
2116C4—1064no—
2117C4#1681146012yes—
2118C2—44no—
2119C2—41no—
2120C2—1064no—
2121C2—2122no—
2122C2—2124no—
2123C2—2121no—
2124C2—2121no—
2125C2#585×D5312yes—
2126C2C2×#1681146011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3557C2
hypercenter#3557D53
hypocenterC53#62829
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3557

Complements

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

NH ≅ G/Ntype
1. #20289395C2semidirect
2. #20289371C2semidirect
3. #20289337C2semidirect
4. #20289258C2semidirect
5. #20289221C2semidirect
6. #20289137C2semidirect
7. #20288963C2semidirect
8. #20288953C2semidirect
9. #20288940C2semidirect
10. #20288711C2semidirect
11. #20288703C2semidirect
12. #20288696C2semidirect
13. #20288692C2semidirect
14. #20288679C2semidirect
15. #20288675C2semidirect
16. #20288661C2semidirect
17. #20288658C2semidirect
18. #20288654C2semidirect
19. #20288645C2semidirect
20. #20288638C2semidirect
21. #20288634C2semidirect
22. #20288607C2semidirect
23. #20288433C2semidirect
24. #20288410C2semidirect
25. #20288012C2semidirect
26. #529×D53C2semidirect
27. C53×#3557C2semidirect
28. #16811375C22semidirect
29. #16811375C22semidirect
30. #16811372C22semidirect
31. #16811370C22semidirect
32. #16811367C22semidirect
33. #16811364C22semidirect
35. #16811358C22semidirect
36. #16811357C22semidirect
37. #16811355C22semidirect
38. #16811351C22semidirect
39. #16811346C22semidirect
40. #16811346C22semidirect
41. #16811344C22semidirect
42. #16811340C22semidirect
43. #16811340C22semidirect
44. #16811338C22semidirect
45. #16811336C22semidirect
46. #16811336C22semidirect
47. #16811334C22semidirect
48. #16811334C22semidirect
49. #16811333C22semidirect
50. #16811333C22semidirect
51. #16811327C22semidirect
53. #16811326C22semidirect
54. #16811326C22semidirect
55. #16811326C22semidirect
56. #16811324C22semidirect
57. #16811324C22semidirect
58. #16811324C22semidirect
60. #16811323C22semidirect
61. #16811321C22semidirect
62. #16811320C22semidirect
63. #16811318C22semidirect
64. #16811318C22semidirect
65. #16811316C22semidirect
66. #16811314C22semidirect
67. #16811314C22semidirect
68. #16811314C22semidirect
69. #16811311C22semidirect
70. #16811311C22semidirect
71. #16811311C22semidirect
72. #16811310C22semidirect
73. #16811308C22semidirect
74. #16811307C22semidirect
75. #16811307C22semidirect
76. #16811306C22semidirect
77. #16811305C22semidirect
78. #16811305C22semidirect
79. #16811305C22semidirect
80. #16811305C22semidirect
81. #16811303C22semidirect
82. #16811303C22semidirect
83. #16811302C22semidirect
84. #16811300C22semidirect
85. #16811300C22semidirect
86. #16811300C22semidirect
87. #16811298C22semidirect
88. #16811298C22semidirect
89. #16811298C22semidirect
90. #16811298C22semidirect
91. #16811297C22semidirect
92. #16811296C22semidirect
93. #16811296C22semidirect
94. #16811296C22semidirect
95. Q8×D212C22semidirect
96. #16811288C22semidirect
97. #16811285C22semidirect
98. #16811285C22semidirect
99. #16811281C22semidirect
100. #16811281C22semidirect
101. #16811278C22semidirect
102. #16811276C22semidirect
103. #16811276C22semidirect
104. #16811275C22semidirect
105. #16811268C22semidirect
106. #16811268C22semidirect
107. #16811266C22semidirect
108. #16811266C22semidirect
109. #16811266C22semidirect
110. #16811266C22semidirect
111. #16811265C22semidirect
112. #16811265C22semidirect
113. #16811264C22semidirect
114. #16811264C22semidirect
118. #16811253C22semidirect
119. #16811248C22semidirect
120. #16811247C22semidirect
121. #16811247C22semidirect
122. #16811246C22semidirect
123. #16811244C22semidirect
124. #16811243C22semidirect
125. #16811243C22semidirect
126. #16811242C22semidirect
127. #16811242C22semidirect
128. #16811236C22semidirect
129. #16811236C22semidirect
130. #16811235C22semidirect
131. #16811234C22semidirect
132. #16811234C22semidirect
133. #16811233C22semidirect
134. #16811230C22semidirect
135. #16811229C22semidirect
137. #16811227C22semidirect
138. #16811225C22semidirect
139. #16811224C22semidirect
140. #16811222C22semidirect
141. #16811221C22semidirect
142. #16811221C22semidirect
143. #16811221C22semidirect
144. #16811219C22semidirect
145. #16811219C22semidirect
146. #16811219C22semidirect
147. #16811216C22semidirect
148. #16811214C22semidirect
149. #16811213C22semidirect
150. #16811212C22semidirect
151. #16811212C22semidirect
152. #16811212C22semidirect
154. #16811209C22semidirect
155. #16811209C22semidirect
156. #16811209C22semidirect
157. #16811207C22semidirect
158. #16811206C22semidirect
159. #16811203C22semidirect
160. #16811203C22semidirect
161. #16811202C22semidirect
162. #16811196C22semidirect
165. #16811178C22semidirect
166. #16811178C22semidirect
167. #16811174C22semidirect
168. #16811174C22semidirect
169. #16811173C22semidirect
170. #16811171C22semidirect
171. #16811160C22semidirect
172. #16811160C22semidirect
173. #16811160C22semidirect
174. #16811160C22semidirect
175. #16811160C22semidirect
176. #16811160C22semidirect
177. #16811159C22semidirect
178. #16811159C22semidirect
179. #16811159C22semidirect
180. #16811158C22semidirect
181. #16811158C22semidirect
182. #16811158C22semidirect
183. #16811158C22semidirect
184. #16811157C22semidirect
185. #16811156C22semidirect
186. #16811156C22semidirect
187. #16811155C22semidirect
188. #16811155C22semidirect
189. #16811155C22semidirect
190. #16811154C22semidirect
191. #16811153C22semidirect
192. #16811152C22semidirect
193. #16811151C22semidirect
194. #16811151C22semidirect
195. #16811150C22semidirect
196. #126×D53C22semidirect
197. #125×D53C22semidirect
198. #125×D53C22semidirect
199. #125×D53C22semidirect
200. #124×D53C22semidirect
201. #124×D53C22semidirect
202. #16811136C22semidirect
203. #16811136C22semidirect
204. #16811136C22semidirect
206. #16811135C22semidirect
207. #16811132C22semidirect
208. C2×#13133202C22semidirect
209. #123×D53C22semidirect
210. #123×D53C22semidirect
211. C22⋊Q8×D53C22semidirect
213. #16811105C22semidirect
214. #16811105C22semidirect
215. #16811104C22semidirect
216. #16811102C22semidirect
217. #16811099C22semidirect
218. #16811097C22semidirect
219. #16811095C22semidirect
220. #16811095C22semidirect
221. C4×#11719949C22semidirect
222. C4×#11719949C22semidirect
223. #16811091C22semidirect
224. #16811091C22semidirect
225. C4×Q8×D53C22semidirect
226. C4×D4×D53C22semidirect
227. C4×D4×D53C22semidirect
228. #117×D53C22semidirect
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
1060. #3557D53semidirect
1094. #563C2×D53semidirect
1102. #559C2×D53semidirect
1104. #557C2×D53semidirect
1110. #556C2×D53semidirect
1119. #554C2×D53semidirect
1149. #552C2×D53semidirect
1197. #542C2×D53semidirect
1198. #542C2×D53semidirect
1206. #541C2×D53semidirect
1222. #539C2×D53semidirect
1241. #533C2×D53semidirect
1271. #529C2×D53semidirect
1306. C53#62829semidirect

Maximal subgroups

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

subgroupindex
#202893952
#202893712
#202893372
#202892582
#202892212
#202891372
#202889632
#202889532
#202889402
#202887112
#202887032
#202886962
#202886922
#202886792
#202886752
#202886612
#202886582
#202886542
#202886452
#202886382
#202886342
#202886072
#202884332
#202884102
#202880122
#529×D532
C53×#35572
#6282953