Finite Group Databasebeta

← #28293171

Subgroups — #28293171

Order 13568.

6846 conjugacy classes of subgroups.

The subgroup lattice has 1998 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288819C213yesmaximal, complemented
2#20288818C213yesmaximal, complemented
3#20288813C211yesmaximal, characteristic, complemented
4#20288812C211yesmaximal, characteristic, complemented
5#20288809C213yesmaximal, complemented
6#20288805C211yesmaximal, characteristic, complemented
7#20288804C213yesmaximal, complemented
8#20288732C211yesmaximal, characteristic, complemented
9#20288731C213yesmaximal, complemented
10#20288728C213yesmaximal, complemented
11#20288723C211yesmaximal, characteristic, complemented
12#20288701C211yesmaximal, characteristic, complemented
13#20288700C211yesmaximal, characteristic, complemented
14#20288699C213yesmaximal, complemented
15#20288698C213yesmaximal, complemented
16#20288574C213yesmaximal, complemented
17#20288572C213yesmaximal, complemented
18#20288522C211yesmaximal, characteristic, complemented
19#20288480C211yesmaximal, characteristic, complemented
20#20288431C213yesmaximal, complemented
21#20288426C213yesmaximal, complemented
22#20288361C211yesmaximal, characteristic, complemented
23#20288361C211yesmaximal, characteristic, complemented
24#20288141C213yesmaximal, complemented
25#20288140C213yesmaximal, complemented
26#20288099C213yesmaximal, complemented
27#20288098C213yesmaximal, complemented
28#20287926C211yesmaximal, characteristic, complemented
29C4×#13133264C211yesmaximal, characteristic, complemented
30#519×D53C211yesmaximal, characteristic, complemented
31C53×#3524C211yesmaximal, characteristic, complemented
32C2×#13133264C2211yescharacteristic
33C2×#13133264C2211yescharacteristic
34C22×Q8×D53C2211yescharacteristic
35#16811359C2213yescomplemented
36#16811357C2216yescomplemented
37Q8×Dic106C2211yescharacteristic, complemented
38#16811353C2213yescomplemented
39#16811352C2213yescomplemented
40#16811351C2213yescomplemented
41#16811351C2213yescomplemented
42#16811350C2213yescomplemented
43#16811350C2213yescomplemented
44#16811350C2216yescomplemented
45#16811349C2211yescharacteristic, complemented
46#16811349C2211yescharacteristic, complemented
47#16811347C2213yes—
48#16811344C2213yescomplemented
49#16811343C2213yes—
50#16811343C2213yescomplemented
51#16811343C2213yescomplemented
52#16811342C2216yes—
53#16811342C2213yescomplemented
54#16811342C2213yescomplemented
55#16811342C2216yescomplemented
56#16811341C2213yes—
57#16811341C2213yes—
58#16811341C2216yescomplemented
59#16811341C2213yescomplemented
60#16811340C2216yes—
61#16811340C2216yescomplemented
62#16811338C2213yes—
63#16811337C2213yes—
64#16811337C2213yes—
65#16811337C2216yes—
66#16811335C2216yes—
67#16811332C2216yescomplemented
68#16811331C2213yescomplemented
69#16811328C2213yescomplemented
70#16811325C2213yes—
71#16811323C2213yes—
72#16811322C2216yes—
73#16811320C2213yes—
74#16811316C2216yes—
75#16811314C2213yescomplemented
76#16811313C2213yes—
77#16811313C2213yescomplemented
78#16811312C2213yes—
79#16811311C2213yes—
80#16811311C2213yescomplemented
81#16811310C2216yes—
82#16811310C2216yescomplemented
83#16811310C2216yescomplemented
84#16811308C2213yes—
85#16811306C2216yes—
86#16811293C2213yescomplemented
87Q8×D212C2211yescharacteristic
88Q8×D212C2211yescharacteristic
89Q8×D212C2211yescharacteristic, complemented
90D4×Dic106C2213yes—
91D4×Dic106C2213yes—
92D4×Dic106C2213yescomplemented
93Q8×C22⋊D53C2211yescharacteristic
94Q8×C22⋊D53C2211yescharacteristic
95#16811286C2213yes—
96#16811286C2213yes—
97#16811281C2213yes—
98#16811281C2213yes—
99#16811280C2211yescharacteristic
100#16811280C2211yescharacteristic
101#16811280C2211yescharacteristic, complemented
102#16811280C2211yescharacteristic, complemented
103#16811279C2213yes—
104#16811279C2213yes—
105#16811279C2213yescomplemented
106#16811279C2213yescomplemented
107#16811253C2213yes—
108#16811250C2213yes—
109#16811243C2213yes—
110#16811242C2213yescomplemented
111#16811241C2213yes—
112#16811241C2216yescomplemented
113#16811240C2213yes—
114#16811240C2213yes—
115#16811240C2213yescomplemented
116#16811239C2213yes—
117#16811238C2213yes—
118#16811238C2213yes—
119#16811238C2213yescomplemented
120#16811237C2213yes—
121#16811237C2216yescomplemented
122#16811236C2213yes—
123#16811236C2213yescomplemented
124#16811235C2213yes—
125#16811235C2213yescomplemented
126#16811233C2213yescomplemented
127#16811232C2213yes—
128#16811231C2213yescomplemented
129#16811230C2213yes—
130#16811230C2216yescomplemented
131#16811230C2216yescomplemented
132#16811227C2213yes—
133#16811225C2213yes—
134#16811223C2213yes—
135#16811221C2213yes—
136#16811219C2213yes—
137#16811216C2213yes—
138#16811216C2216yes—
139#16811216C2216yes—
140#16811214C2213yes—
141#16811212C2211yescharacteristic
142#16811209C2213yes—
143#16811207C2213yes—
144#16811205C2213yes—
145#16811205C2216yes—
146#16811202C2213yes—
147#16811202C2213yes—
148#16811196C2213yes—
149#16811196C2213yes—
150#16811193C2213yes—
151#16811193C2213yes—
152#16811180C2213yescomplemented
153#16811179C2213yes—
154#16811178C2213yescomplemented
155#16811177C2213yes—
156#16811177C2213yescomplemented
157#16811176C2216yescomplemented
158#16811175C2213yescomplemented
159#16811175C2216yescomplemented
160#16811171C2213yes—
161#16811170C2213yes—
162#16811160C2213yes—
163#16811157C2213yes—
164#16811156C2216yes—
165#16811155C2216yes—
166#16811155C2213yes—
167#16811155C2213yescomplemented
168#16811154C2216yes—
169#16811154C2216yes—
170#16811154C2213yescomplemented
171#16811153C2213yes—
172#16811153C2213yes—
173#16811153C2216yescomplemented
174#16811152C2216yes—
175#16811152C2213yescomplemented
176#16811151C2213yes—
177#16811151C2216yes—
178#16811151C2213yes—
179#16811150C2216yes—
180#16811150C2216yes—
181#16811150C2216yescomplemented
182#16811133C2213yes—
183#16811133C2213yes—
184#16811132C2213yes—
185#16811132C2213yes—
186#16811106C2211yescharacteristic, complemented
187#16811104C2213yes—
188#16811103C2213yes—
189#16811102C2213yes—
190#16811102C2213yes—
191#16811102C2213yescomplemented
192#16811102C2213yescomplemented
193#16811101C2211yescharacteristic
194#16811100C2213yes—
195#16811100C2213yes—
196#16811100C2213yescomplemented
197#16811100C2213yescomplemented
198#16811099C2211yescharacteristic
199#16811099C2211yescharacteristic
200#16811099C2213yes—
201#16811099C2211yescharacteristic
202#16811099C2213yes—
203#16811099C2211yescharacteristic
204#16811099C2211yescharacteristic, complemented
205#16811099C2211yescharacteristic, complemented
206#41×Dic53C2211yescharacteristic, complemented
207C4×#11719945C2213yes—
208#16811091C2213yes—
209C4×#11719947C2213yes—
210C4×#11719947C2213yes—
211C4×#11719947C2213yescomplemented
212C4×#11719947C2213yescomplemented
213C2×C4×Dic106C2213yescomplemented
214C2×#13133182C2213yescomplemented
215C4×Q8×D53C2211yescharacteristic
216C4×Q8×D53C2213yes—
217C4×Q8×D53C2213yes—
218C4×Q8×D53C2211yescharacteristic
219C4×Q8×D53C2211yescharacteristic, complemented
220C4×Q8×D53C2211yescharacteristic, complemented
221#117×D53C2213yes—
222#117×D53C2213yes—
223C53×#559C2213yescomplemented
224C53×#557C2211yescharacteristic, complemented
225C53×#555C2213yes—
226C53×#553C2213yes—
227C53×#552C2213yescomplemented
228C53×#550C2211yescharacteristic, complemented
229C53×#548C2211yescharacteristic
230C53×#548C2211yescharacteristic
231C53×#542C2213yescomplemented
232C53×#540C2213yes—
233C53×#529C2213yes—
234C53×#529C2213yescomplemented
235C53×#520C2211yescharacteristic, complemented
236C53×#519C2211yescharacteristic
237C4×#41×C53C2211yescharacteristic, complemented
238#13133264—28no—
239#13133264—28no—
240C2×#11719945C2313yes—
241C2×#11719945C2313yes—
242C2×#11719947C2313yes—
243C2×#11719947C2313yes—
244C2×#11719947C2313yes—
245C2×#11719947C2313yes—
246C22×Dic106C2313yes—
247C22×Dic106C2313yes—
248C22×Dic106C2313yes—
249C2×Q8×D53—28no—
250C2×Q8×D53C2311yescharacteristic
251C2×Q8×D53C2311yescharacteristic
252C2×Q8×D53C2311yescharacteristic
253C2×Q8×D53C2313yes—
254C2×Q8×D53C2313yes—
255C2×Q8×D53C2311yescharacteristic
256C22×C4×D53C2313yes—
257#13133217C2313yes—
258#13133217C2313yes—
259#13133217C2313yes—
260#13133217C2313yes—
261#13133216C2316yes—
262#13133216C2316yes—
263#13133216C2313yes—
264#13133216C2313yes—
265#13133216C2313yes—
266#13133216C2316yes—
267#13133216C2313yes—
268#13133216C2313yes—
269#13133216C2313yes—
270#13133215C2313yes—
271#13133215C2313yes—
272#13133215C2316yes—
273#13133215C2313yes—
274#13133213C2313yes—
275#13133212C2316yes—
276#13133212C2313yes—
277#13133212C2316yes—
278#13133212C2313yes—
279#13133212C2313yes—
280#13133212C2313yes—
281#13133212C2311yescharacteristic
282#13133212C2313yes—
283#13133211C2313yes—
284#13133211C2316yes—
285#13133211C2313yes—
286#13133210C2313yes—
287#13133210C2316yes—
288#13133210C2316yes—
289#13133210C2316yes—
290#13133210C2316yes—
291#13133210C2316yes—
292#13133210C2313yes—
293#13133210C2316yes—
294#13133210C2316yes—
295#13133210C2316yes—
296#13133210C2313yes—
297#13133210C2313yes—
298#13133210C2316yes—
299#13133210C2316yes—
300#13133210C2313yes—
301#13133210C2313yes—
302#13133209C2316yes—
303#13133209C2313yes—
304#13133209C2313yes—
305#13133209C2313yes—
306#13133208C2313yes—
307#13133208C2316yes—
308#13133208C2313yes—
309#13133208C2316yes—
310#13133208C2313yes—
311#13133208C2316yes—
312#13133208C2313yes—
313#13133207C2316yes—
314#13133207C2316yes—
315#13133207C2316yes—
316#13133207C2316yes—
317#13133207C2313yes—
318#13133207C2313yes—
319#13133207C2313yes—
320#13133207C2316yes—
321#13133207C2313yes—
322#13133207C2316yes—
323#13133207C2313yes—
324#13133207C2313yes—
325#13133206C2313yes—
326#13133205C2311yescharacteristic
327#13133204C2313yes—
328#13133204C2313yes—
329#13133204C2313yes—
330#13133204C2313yes—
331#13133204C2316yes—
332#13133204C2316yes—
333#13133204C2313yes—
334#13133203C2316yes—
335#13133203C2316yes—
336#13133203C2313yes—
337#13133203C2313yes—
338#13133203C2316yes—
339#13133203C2316yes—
340#13133203C2313yes—
341#13133203C2313yes—
342#13133203C2316yes—
343#13133203C2313yes—
344#13133203C2311yescharacteristic
345#13133202C2313yes—
346#13133202C2313yes—
347#13133202C2313yes—
348#13133202C2313yes—
349#13133202C2313yes—
350#13133202C2311yescharacteristic
351#13133201C2313yes—
352#13133201C2313yes—
353#13133200C2316yes—
354#13133200C2313yes—
355#13133200C2313yes—
356#13133199C2313yes—
357#13133199C2313yes—
358#13133199C2313yes—
359#13133199C2316yes—
360#13133199C2316yes—
361#13133199C2313yes—
362#13133199C2313yes—
363#13133199C2311yescharacteristic
364#13133198C2316yes—
365#13133198C2313yes—
366#13133198C2316yes—
367#13133198C2313yes—
368#13133198C2316yes—
369#13133197C2313yes—
370#13133197C2313yes—
371#13133197C2313yes—
372#13133197C2313yes—
373#13133197C2313yes—
374#13133197C2313yes—
375#13133197C2313yes—
376#13133197C2313yes—
377#13133196C2313yes—
378#13133196C2313yes—
379#13133196C2313yes—
380#13133196C2313yes—
381#13133196C2313yes—
382#13133196C2313yes—
383#13133196C2316yes—
384#13133196C2313yes—
385#13133196C2316yes—
386#13133195C2313yes—
387#13133195C2313yes—
388#13133195C2313yes—
389#13133195C2316yes—
390#13133195C2313yes—
391#13133195C2311yescharacteristic
392#13133195C2313yes—
393#13133194C2316yes—
394#13133194C2316yes—
395#13133194C2316yes—
396#13133194C2316yes—
397#13133194C2316yes—
398#13133194C2316yes—
399#13133194C2313yes—
400#13133194C2313yes—
401#13133194C2316yes—
402#13133194C2313yes—
403#13133194C2316yes—
404#13133194C2313yes—
405#13133193C2313yes—
406#13133193C2313yes—
407#13133193C2313yes—
408#13133193C2313yes—
409#13133192C2311yescharacteristic
410#13133192C2311yescharacteristic
411#13133191C2313yes—
412#13133190C2313yes—
413#13133190C2313yes—
414#13133190C2313yes—
415#13133190C2311yescharacteristic
416#13133190C2313yes—
417#13133190C2313yes—
418#13133189C2313yes—
419#13133189C2313yes—
420#13133189C2316yes—
421#13133189C2316yes—
422#13133189C2313yes—
423#13133189C2316yes—
424#13133189C2313yes—
425#13133188C2313yes—
426#13133188C2313yes—
427#13133188C2313yes—
428#13133188C2313yes—
429#13133188C2313yes—
430#13133188C2316yes—
431#13133188C2313yes—
432#13133187C2311yescharacteristic
433#13133187C2311yescharacteristic
434#13133185C2313yes—
435#13133185C2313yes—
436Q8×Dic53C2311yescharacteristic
437Q8×Dic53C2311yescharacteristic
438Q8×Dic53C2311yescharacteristic
439Q8×Dic53C2313yes—
440Q8×Dic53C2311yescharacteristic
441Q8×Dic53C2313yes—
442Q8×Dic53C2316yes—
443C4×Dic106C2313yes—
444C4×Dic106C2313yes—
445C4×Dic106C2313yes—
446C4×Dic106C2316yes—
447C4×Dic106C2313yes—
448C4×Dic106C2313yes—
449C4×Dic106C2313yes—
450C4×Dic106C2316yes—
451C4×Dic106C2316yes—
452C4×Dic106C2316yes—
453C4×Dic106C2313yes—
454C4×Dic106C2316yes—
455C4×Dic106C2313yes—
456C4×Dic106C2313yes—
457C4×Dic106C2313yes—
458C4×Dic106C2313yes—
459C4×Dic106C2313yes—
460C4×Dic106C2313yes—
461C4×Dic106C2313yes—
462C4×Dic106C2313yes—
463#13133182C2313yes—
464#13133182C2313yes—
465#13133182C2313yes—
466#13133182C2313yes—
467#13133182C2316yes—
468#13133182C2316yes—
469#13133182C2313yes—
470#13133182C2313yes—
471#13133182C2316yes—
472#13133182C2316yes—
473#13133182C2313yes—
474#13133182C2316yes—
475#13133182C2313yes—
476#13133182C2313yes—
477#13133182C2313yes—
478#13133182C2313yes—
479#13133182C2313yes—
480#13133182C2316yes—
481C4×D212C2313yes—
482C4×D212C2313yes—
483C4×D212C2313yes—
484C4×D212C2311yescharacteristic
485C4×D212C2313yes—
486D4×Dic53C2316yes—
487D4×Dic53C2316yes—
488D4×Dic53C2316yes—
489D4×Dic53C2316yes—
490D4×Dic53C2316yes—
491D4×Dic53C2313yes—
492D4×Dic53C2313yes—
493D4×Dic53C2313yes—
494D4×Dic53C2313yes—
495#13133179C2311yescharacteristic
496#13133179C2313yes—
497C4×C22⋊D53C2313yes—
498C4×C22⋊D53C2313yes—
499C4×C22⋊D53C2313yes—
500C4×C22⋊D53C2313yes—
501C4×C22⋊D53C2313yes—
502C4×C22⋊D53C2313yes—
503C4×C22⋊D53C2316yes—
504C4×C22⋊D53C2316yes—
505C4×C22⋊D53C2313yes—
506C4×C22⋊D53C2316yes—
507C4×C22⋊D53C2313yes—
508C4×C22⋊D53C2313yes—
509C4×C22⋊D53C2313yes—
510#13133177C2316yes—
511#13133177C2316yes—
512#13133177C2316yes—
513#13133177C2316yes—
514#13133177C2313yes—
515#13133177C2316yes—
516#13133177C2313yes—
517#13133177C2313yes—
518#13133177C2313yes—
519#13133176C2316yes—
520#13133176C2316yes—
521#13133176C2313yes—
522#13133176C2313yes—
523#13133176C2313yes—
524#13133176C2313yes—
525#13133175C2313yes—
526#13133175C2316yes—
527#13133175C2313yes—
528#13133175C2313yes—
529#13133175C2313yes—
530#13133175C2313yes—
531#13133175C2313yes—
532#13133175C2313yes—
533#13133175C2313yes—
534#13133174C2316yes—
535#13133174C2316yes—
536#13133174C2313yes—
537#13133174C2313yes—
538#13133174C2313yes—
539#13133174C2313yes—
540#13133174C2313yes—
541#13133174C2313yes—
542#13133173C2316yes—
543#13133173C2316yes—
544#13133173C2316yes—
545#13133173C2316yes—
546#13133173C2316yes—
547#13133173C2316yes—
548#13133173C2313yes—
549#13133173C2313yes—
550#13133173C2316yes—
551#13133173C2316yes—
552C2×C4⋊Dic53C2313yes—
553C2×#11719919C2316yes—
554C2×#11719919C2316yes—
555C4⋊C4×D53C2313yes—
556C4⋊C4×D53C2313yes—
557C4⋊C4×D53C2313yes—
558C4⋊C4×D53C2313yes—
559C4⋊C4×D53C2313yes—
560C4⋊C4×D53C2313yes—
561C22⋊C4×D53C2311yescharacteristic
562C22⋊C4×D53C2313yes—
563C2×C4×Dic53C2316yes—
564C2×C4×Dic53C2313yes—
565C2×C4×Dic53C2316yes—
566C42×D53C2313yes—
567C42×D53C2316yes—
568C42×D53C2313yes—
569C42×D53C2313yes—
570C42×D53C2313yes—
571C2×#41×C53C2311yescharacteristic
572C2×#41×C53C2311yescharacteristic
573C22×Q8×C53C2311yescharacteristic
574C4⋊Q8×C53C2313yes—
575#127×C53C2313yes—
576#126×C53C2311yescharacteristic
577#126×C53C2313yes—
578#126×C53C2316yes—
579#125×C53C2313yes—
580#125×C53C2313yes—
581#125×C53C2313yes—
582#124×C53C2313yes—
583#124×C53C2313yes—
584#124×C53C2313yes—
585#124×C53C2316yes—
586#123×C53C2313yes—
587#123×C53C2313yes—
588#123×C53C2316yes—
589#123×C53C2316yes—
590C22⋊Q8×C53C2313yes—
591C22⋊Q8×C53C2313yes—
592C22⋊Q8×C53C2313yes—
593#121×C53C2313yes—
594#121×C53C2313yes—
595#121×C53C2313yes—
596#121×C53C2313yes—
597#121×C53C2313yes—
598#121×C53C2316yes—
599C4×Q8×C53C2311yescharacteristic
600C4×Q8×C53C2311yescharacteristic
601C4×Q8×C53C2311yescharacteristic
602C4×Q8×C53C2311yescharacteristic
603C4×Q8×C53C2313yes—
604C4×Q8×C53C2313yes—
605C4×Q8×C53C2313yes—
606C4×D4×C53C2313yes—
607C4×D4×C53C2313yes—
608C4×D4×C53C2313yes—
609C4×D4×C53C2313yes—
610C4×D4×C53C2313yes—
611C4×D4×C53C2313yes—
612C4×D4×C53C2313yes—
613C4×D4×C53C2316yes—
614#117×C53C2313yes—
615#117×C53C2313yes—
616#117×C53C2313yes—
617#117×C53C2313yes—
618#117×C53C2316yes—
619C2×C4⋊C4×C53C2313yes—
620C2×C42×C53C2313yes—
621C23×D53C2411yescharacteristic
622#41×C53—24no—
623#41×C53—24no—
624C2×Q8×C53—24no—
625C2×Q8×C53C2413yes—
626C2×Q8×C53C2413yes—
627C2×Q8×C53C2411yescharacteristic
628C2×D4×C53C2413yes—
629C2×D4×C53C2413yes—
630C2×D4×C53C2413yes—
631C2×D4×C53C2413yes—
632C2×D4×C53C2416yes—
633C2×D4×C53C2413yes—
634C22×C4×C53C2413yes—
635C22×C4×C53C2413yes—
636C22×C4×C53C2413yes—
637C22×C4×C53C2413yes—
638C22×C4×C53C2413yes—
639C22×C4×C53C2416yes—
640C2×C22⋊D53C2413yes—
641C2×C22⋊D53C2413yes—
642C2×C22⋊D53C2413yes—
643C2×C22⋊D53C2413yes—
644C2×C22⋊D53C2413yes—
645C2×C22⋊D53C2413yes—
646C2×C22⋊D53C2413yes—
647C2×C22⋊D53C2411yescharacteristic
648C2×C22⋊D53C2411yescharacteristic
649C2×C22⋊D53C2413yes—
650C22×Dic53C2416yes—
651C22×Dic53C2416yes—
652C22×Dic53C2413yes—
653C22×Dic53C2413yes—
654C22×Dic53C2413yes—
655C22×Dic53C2416yes—
656Q8×D53—24no—
657Q8×D53—24no—
658Q8×D53—24no—
659Q8×D53—212no—
660Q8×D53—212no—
661Q8×D53#4118yes—
662#11719947—212no—
663#11719947—212no—
664#11719947—212no—
665#11719947—212no—
666#11719945—212no—
667#11719945—212no—
668C2×D212C2411yescharacteristic
669C2×D212C2411yescharacteristic
670C2×D212C2411yescharacteristic
671C2×D212C2411yescharacteristic
672C2×D212C2411yescharacteristic
673C2×C4×D53—212no—
674C2×C4×D53C2413yes—
675C2×C4×D53C2413yes—
676C2×C4×D53C2413yes—
677C2×C4×D53C2413yes—
678C2×C4×D53C2413yes—
679C2×C4×D53C2411yescharacteristic
680C2×C4×D53C2413yes—
681C2×C4×D53C2411yescharacteristic
682C2×C4×D53C2413yes—
683C2×C4×D53C2411yescharacteristic
684C2×C4×D53C2411yescharacteristic
685C2×C4×D53C2413yes—
686C2×C4×D53C2413yes—
687C2×C4×D53C2413yes—
688C2×Dic106—212no—
689C2×Dic106—212no—
690C2×Dic106—212no—
691C2×Dic106C2413yes—
692C2×Dic106C2416yes—
693C2×Dic106C2413yes—
694C2×Dic106C2413yes—
695C2×Dic106C2413yes—
696C2×Dic106C2413yes—
697C2×Dic106C2413yes—
698C2×Dic106C2416yes—
699C2×Dic106C2411yescharacteristic
700C2×Dic106C2413yes—
701C2×Dic106C2413yes—
702C4⋊C4×C53C2413yes—
703C4⋊C4×C53C2413yes—
704C4⋊C4×C53C2413yes—
705C4⋊C4×C53C2411yescharacteristic
706C4⋊C4×C53C2413yes—
707C4⋊C4×C53C2413yes—
708C4⋊C4×C53C2413yes—
709C4⋊C4×C53C2413yes—
710C4⋊C4×C53C2413yes—
711C4⋊C4×C53C2416yes—
712C4⋊C4×C53C2411yescharacteristic
713C4⋊C4×C53C2413yes—
714C4⋊C4×C53C2413yes—
715C4⋊C4×C53C2411yescharacteristic
716C4⋊C4×C53C2413yes—
717C22⋊C4×C53C2411yescharacteristic
718C22⋊C4×C53C2413yes—
719C22⋊C4×C53C2413yes—
720C22⋊C4×C53C2413yes—
721C22⋊C4×C53C2416yes—
722C22⋊C4×C53C2413yes—
723C22⋊C4×C53C2416yes—
724C22⋊C4×C53C2411yescharacteristic
725C22⋊C4×C53C2413yes—
726C22⋊C4×C53C2411yescharacteristic
727C22⋊C4×C53C2413yes—
728C22⋊C4×C53C2416yes—
729C22⋊C4×C53C2413yes—
730C42×C53C2411yescharacteristic
731C42×C53C2413yes—
732C42×C53C2413yes—
733C42×C53C2413yes—
734C42×C53C2416yes—
735C42×C53C2413yes—
736C42×C53C2413yes—
737C22⋊Dic53C2413yes—
738C22⋊Dic53C2411yescharacteristic
739C22⋊Dic53C2413yes—
740C22⋊Dic53C2413yes—
741C22⋊Dic53C2416yes—
742C22⋊Dic53C2416yes—
743C22⋊Dic53C2416yes—
744C22⋊Dic53C2416yes—
745C22⋊Dic53C2413yes—
746C22⋊Dic53C2413yes—
747C22⋊Dic53C2413yes—
748C22⋊Dic53C2413yes—
749C22⋊Dic53C2416yes—
750C22⋊Dic53C2413yes—
751C22⋊Dic53C2413yes—
752#11719921C2411yescharacteristic
753#11719921C2413yes—
754#11719921C2413yes—
755#11719921C2411yescharacteristic
756#11719921C2411yescharacteristic
757#11719921C2411yescharacteristic
758#11719921C2411yescharacteristic
759#11719921C2411yescharacteristic
760#11719921C2413yes—
761#11719921C2413yes—
762#11719921C2413yes—
763#11719921C2413yes—
764#11719921C2413yes—
765#11719921C2413yes—
766#11719921C2413yes—
767#11719921C2413yes—
768#11719921C2413yes—
769#11719921C2413yes—
770#11719921C2413yes—
771#11719921C2411yescharacteristic
772#11719921C2411yescharacteristic
773#11719921C2411yescharacteristic
774#11719921C2411yescharacteristic
775#11719921C2413yes—
776C4⋊Dic53C2413yes—
777C4⋊Dic53C2413yes—
778C4⋊Dic53C2413yes—
779C4⋊Dic53C2413yes—
780C4⋊Dic53C2413yes—
781C4⋊Dic53C2413yes—
782C4⋊Dic53C2413yes—
783C4⋊Dic53C2416yes—
784C4⋊Dic53C2411yescharacteristic
785C4⋊Dic53C2413yes—
786C4⋊Dic53C2413yes—
787C4⋊Dic53C2413yes—
788C4⋊Dic53C2413yes—
789C4⋊Dic53C2413yes—
790C4⋊Dic53C2416yes—
791C4⋊Dic53C2416yes—
792C4⋊Dic53C2413yes—
793#11719919C2416yes—
794#11719919C2416yes—
795#11719919C2416yes—
796#11719919C2416yes—
797#11719919C2413yes—
798#11719919C2413yes—
799#11719919C2413yes—
800#11719919C2413yes—
801#11719919C2413yes—
802#11719919C2413yes—
803#11719919C2413yes—
804#11719919C2413yes—
805#11719919C2413yes—
806#11719919C2413yes—
807#11719919C2413yes—
808#11719919C2413yes—
809#11719919C2413yes—
810#11719919C2413yes—
811#11719919C2413yes—
812#11719919C2413yes—
813#11719919C2416yes—
814#11719919C2416yes—
815#11719919C2416yes—
816#11719919C2416yes—
817#11719919C2413yes—
818#11719919C2413yes—
819#11719919C2413yes—
820#11719919C2413yes—
821#11719919C2413yes—
822#11719919C2413yes—
823#11719919C2411yescharacteristic
824#11719919C2411yescharacteristic
825C4×Dic53C2413yes—
826C4×Dic53C2413yes—
827C4×Dic53C2413yes—
828C4×Dic53C2413yes—
829C4×Dic53C2413yes—
830C4×Dic53C2413yes—
831C4×Dic53C2416yes—
832C4×Dic53C2416yes—
833C4×Dic53C2413yes—
834C4×Dic53C2416yes—
835C4×Dic53C2413yes—
836C4×Dic53C2413yes—
837C4×Dic53C2413yes—
838C4×Dic53C2413yes—
839C4×Dic53C2411yescharacteristic
840C4×Dic53C2416yes—
841C4×Dic53C2413yes—
842C4×Dic53C2416yes—
843C4×Dic53C2416yes—
844C4×Dic53C2416yes—
845C4×Dic53C2413yes—
846C23×C53C2513yes—
847C23×C53C2513yes—
848C23×C53C2511yescharacteristic
849C22×D53—22no—
850C22×D53—41no—
851C22×D53—41no—
852C22×D53C2511yescharacteristic
853C22×D53C2511yescharacteristic
854C22×D53C2511yescharacteristic
855C22×D53C2511yescharacteristic
856Q8×C53—26no—
857Q8×C53—43no—
858Q8×C53C2×#4114yes—
859D4×C53—26no—
860D4×C53—26no—
861D4×C53—43no—
862D4×C53—43no—
863D4×C53—46no—
864D4×C53—43no—
865C2×C4×C53—26no—
866C2×C4×C53—26no—
867C2×C4×C53—26no—
868C2×C4×C53—43no—
869C2×C4×C53—46no—
870C2×C4×C53—43no—
871C2×C4×C53C2511yescharacteristic
872C2×C4×C53C2511yescharacteristic
873C2×C4×C53C2513yes—
874C2×C4×C53C2513yes—
875C2×C4×C53C2513yes—
876C2×C4×C53C2513yes—
877C2×C4×C53C2511yescharacteristic
878C2×C4×C53C2511yescharacteristic
879C2×C4×C53C2513yes—
880C2×C4×C53C2511yescharacteristic
881C2×C4×C53C2511yescharacteristic
882C2×C4×C53C2513yes—
883C22⋊D53—26no—
884C22⋊D53—26no—
885C22⋊D53—26no—
886C22⋊D53—26no—
887C22⋊D53—41no—
888C22⋊D53—43no—
889C22⋊D53—43no—
890C22⋊D53—43no—
891C22⋊D53—43no—
892C22⋊D53—41no—
893C2×Dic53—26no—
894C2×Dic53—212no—
895C2×Dic53—212no—
896C2×Dic53—43no—
897C2×Dic53—46no—
898C2×Dic53—43no—
899C2×Dic53C2513yes—
900C2×Dic53C2511yescharacteristic
901C2×Dic53C2513yes—
902C2×Dic53C2513yes—
903C2×Dic53C2511yescharacteristic
904C2×Dic53C2513yes—
905C2×Dic53C2513yes—
906C2×Dic53C2513yes—
907C2×Dic53C2511yescharacteristic
908C2×Dic53C2511yescharacteristic
909C2×Dic53C2513yes—
910C2×Dic53C2513yes—
911D212—22no—
912D212—22no—
913D212—41no—
914D212—41no—
915D212—41no—
916C4×D53—26no—
917C4×D53—26no—
918C4×D53—26no—
919C4×D53—26no—
920C4×D53—26no—
921C4×D53—41no—
922C4×D53—41no—
923C4×D53—43no—
924C4×D53—43no—
925C4×D53—43no—
926C4×D53—41no—
927C4×D53—43no—
928C4×D53—41no—
929C4×D53C2×#41112yes—
930Dic106—26no—
931Dic106—26no—
932Dic106—26no—
933Dic106—26no—
934Dic106—26no—
935Dic106—212no—
936Dic106—43no—
937Dic106—41no—
938Dic106—43no—
939Dic106—46no—
940Dic106C2×#41112yes—
941#62850—531nomaximal, Sylow
942C22×C53—21no—
943C22×C53—23no—
944C22×C53—23no—
945C22×C53—23no—
946C22×C53—23no—
947C22×C53—23no—
948C22×C53—23no—
949C22×C53—21no—
950C22×C53—21no—
951C22×C53C2611yescharacteristic
952C2×D53—21no—
953C2×D53—21no—
954C2×D53—21no—
955C2×D53—21no—
956C2×D53—21no—
957C2×D53—21no—
958C2×D53—21no—
959C2×D53—21no—
960C2×D53—21no—
961C2×D53—21no—
962C2×D53—21no—
963C2×D53—44no—
964C2×D53C22×#4112yes—
965C4×C53—21no—
966C4×C53—21no—
967C4×C53—23no—
968C4×C53—23no—
969C4×C53—23no—
970C4×C53—23no—
971C4×C53—21no—
972C4×C53—23no—
973C4×C53—21no—
974C4×C53—21no—
975C4×C53—21no—
976C4×C53C22×#4116yes—
977Dic53—23no—
978Dic53—23no—
979Dic53—23no—
980Dic53—21no—
981Dic53—21no—
982Dic53—23no—
983Dic53—23no—
984Dic53—23no—
985Dic53—21no—
986Dic53—23no—
987Dic53—21no—
988Dic53C22×#4116yes—
989#3524—533no—
990#3524—531no—
991#3524—533no—
992#3524D5311yescharacteristic, complemented
993#3523—531no—
994#3523—533no—
995#3523—533no—
996#3523—531no—
997#3518—533no—
998#3518—531no—
999#3518—533no—
1000#3518—531no—
1001#3516—533no—
1002#3516—531no—
1003#3516—533no—
1004#3516—531no—
1005#3507—533no—
1006#3507—533no—
1007#3502—531no—
1008#3497—531no—
1009#3493—533no—
1010#3493—533no—
1011#3486—531no—
1012#3486—531no—
1013#3461—533no—
1014#3461—533no—
1015#3455—533no—
1016#3455—533no—
1017C4×2−1+4—531no—
1018C4×2−1+4—531no—
1019C2×#519—531no—
1020C2×C53—41no—
1021C2×C53—43no—
1022C2×C53—43no—
1023C2×C53C23×#4111yescharacteristic
1024C2×C532−1+611yescharacteristic
1025C2×C532−1+611yescharacteristic
1026D53—22no—
1027D53—41no—
1028D53—41no—
1029D53—41no—
1030C2×2−1+4—531no—
1031C2×2−1+4—531no—
1032C23×Q8—531no—
1033#559—533no—
1034#559—536no—
1035#559C2×D5313yescomplemented
1036Q82—533no—
1037Q82—531no—
1038#557—533no—
1039#557—533no—
1040#557—536no—
1041#557—531no—
1042#557—531no—
1043#557—533no—
1044#557—533no—
1045#557—533no—
1046#557C2×D5311yescharacteristic, complemented
1047#556—533no—
1048#556—536no—
1049#556—536no—
1050#556—536no—
1051#556—533no—
1052#556—533no—
1053#556—536no—
1054#556—533no—
1055#556—533no—
1056#556—533no—
1057#556—533no—
1058#556—533no—
1059#556—533no—
1060#556—536no—
1061#556—533no—
1062#555—536no—
1063#555—533no—
1064#555—533no—
1065#555—536no—
1066#555—533no—
1067#555C2×D5313yes—
1068#554—533no—
1069#554—536no—
1070#554—533no—
1071#553—536no—
1072#553—533no—
1073#553—533no—
1074#553—536no—
1075#553—533no—
1076#553C2×D5313yes—
1077#552—533no—
1078#552—533no—
1079#552—536no—
1080#552—536no—
1081#552—536no—
1082#552—533no—
1083#552—533no—
1084#552—533no—
1085#552—536no—
1086#552—533no—
1087#552—533no—
1088#552C2×D5313yescomplemented
1089#550—533no—
1090#550C2×D5311yescharacteristic, complemented
1091D4×Q8—531no—
1092D4×Q8—531no—
1093D4×Q8—533no—
1094D4×Q8—533no—
1095D4×Q8—531no—
1096D4×Q8—531no—
1097D4×Q8—531no—
1098D4×Q8—533no—
1099D4×Q8—533no—
1100D4×Q8—533no—
1101#548—531no—
1102#548—531no—
1103#548—531no—
1104#548—531no—
1105#548—533no—
1106#548—533no—
1107#548—533no—
1108#548—533no—
1109#548—533no—
1110#548—533no—
1111#548C2×D5311yescharacteristic
1112#548C2×D5311yescharacteristic
1113#544—533no—
1114#544—533no—
1115#542—533no—
1116#542—533no—
1117#542—536no—
1118#542—533no—
1119#542—533no—
1120#542—536no—
1121#542—533no—
1122#542—533no—
1123#542—533no—
1124#542—533no—
1125#542—533no—
1126#542—533no—
1127#542—533no—
1128#542C2×D5313yescomplemented
1129#541—533no—
1130#541—536no—
1131#541—536no—
1132#541—533no—
1133#541—533no—
1134#541—533no—
1135#541—533no—
1136#541—533no—
1137#541—533no—
1138#541—533no—
1139#540—533no—
1140#540—533no—
1141#540—533no—
1142#540C2×D5313yes—
1143#539—533no—
1144#539—533no—
1145#539—536no—
1146#539—536no—
1147#539—533no—
1148#539—533no—
1149#538—531no—
1150#538—533no—
1151#538—533no—
1152#538—533no—
1153#538—536no—
1154#537—533no—
1155#537—533no—
1156#536—533no—
1157#536—533no—
1158#536—533no—
1159#536—533no—
1160#533—533no—
1161#533—533no—
1162#533—533no—
1163#533—536no—
1164#533—533no—
1165#533—533no—
1166#533—536no—
1167#533—533no—
1168#532—533no—
1169#532—533no—
1170#529—536no—
1171#529—536no—
1172#529—533no—
1173#529—536no—
1174#529—536no—
1175#529—536no—
1176#529—536no—
1177#529—536no—
1178#529—533no—
1179#529—533no—
1180#529—533no—
1181#529—533no—
1182#529—533no—
1183#529—536no—
1184#529—536no—
1185#529—533no—
1186#529—533no—
1187#529—533no—
1188#529—536no—
1189#529—533no—
1190#529C2×D5313yes—
1191#529C2×D5313yescomplemented
1192#525—533no—
1193#525—533no—
1194#525—533no—
1195#525—533no—
1196#520—531no—
1197#520—533no—
1198#520—533no—
1199#520—533no—
1200#520—533no—
1201#520—533no—
1202#520—533no—
1203#520C2×D5311yescharacteristic, complemented
1204#519—531no—
1205#519—533no—
1206#519—531no—
1207#519—533no—
1208#519—531no—
1209#519—531no—
1210#519—531no—
1211#519—531no—
1212#519—531no—
1213#519—533no—
1214#519—533no—
1215#519—533no—
1216#519—533no—
1217#519C2×D5311yescharacteristic
1218C4×#41—531no—
1219C4×#41—533no—
1220C4×#41—533no—
1221C4×#41—533no—
1222C4×#41—533no—
1223C4×#41—533no—
1224C4×#41—533no—
1225C4×#41C2×D5311yescharacteristic, complemented
1226C2×C4×Q8—531no—
1227C2×C4×Q8—533no—
1228C2×C4×Q8—531no—
1229C2×C4×Q8—533no—
1230C2×C4×Q8—531no—
1231C2×C4×Q8—531no—
1232C2×C4×Q8—533no—
1233C2×C4×Q8—533no—
1234C2×#117—533no—
1235C2×#117—533no—
1236C53#6285011yescharacteristic, complemented, Sylow
12372−1+4—1068no—
12382−1+4—1068no—
1239C2×#41—533no—
1240C2×#41—533no—
1241C2×#41—533no—
1242C2×#41—533no—
1243C2×#41—533no—
1244C2×#41—533no—
1245C2×#41C22×D5311yescharacteristic
1246C2×#41C22×D5311yescharacteristic
1247C22×Q8—531no—
1248C22×Q8—533no—
1249C22×Q8—531no—
1250C22×Q8—531no—
1251C22×Q8—533no—
1252C22×Q8—531no—
1253C22×Q8—533no—
1254C22×Q8—533no—
1255C22×Q8—533no—
1256C22×Q8—1068no—
1257C22×Q8C22×D5311yescharacteristic
1258C23×C4—533no—
1259C4⋊Q8—533no—
1260C4⋊Q8—533no—
1261C4⋊Q8—533no—
1262C4⋊Q8—536no—
1263C4⋊Q8—533no—
1264C4⋊Q8—536no—
1265C4⋊Q8—536no—
1266C4⋊Q8—533no—
1267C4⋊Q8—533no—
1268C4⋊Q8—533no—
1269C4⋊Q8—536no—
1270C4⋊Q8—533no—
1271C4⋊Q8—533no—
1272C4⋊Q8—533no—
1273C4⋊Q8—533no—
1274C4⋊Q8—533no—
1275C4⋊Q8—533no—
1276C4⋊Q8C22×D5313yes—
1277#127—533no—
1278#127C22×D5313yes—
1279#126—533no—
1280#126—531no—
1281#126—533no—
1282#126—533no—
1283#126—536no—
1284#126—533no—
1285#126—533no—
1286#126—536no—
1287#126—533no—
1288#126—536no—
1289#126—533no—
1290#126—536no—
1291#126—533no—
1292#126—533no—
1293#126—536no—
1294#126—533no—
1295#126—536no—
1296#126—533no—
1297#126—536no—
1298#126—536no—
1299#126—536no—
1300#126—536no—
1301#126—536no—
1302#126—536no—
1303#126—533no—
1304#126—533no—
1305#126—536no—
1306#126C22×D5316yes—
1307#126C22×D5311yescharacteristic
1308#126C22×D5313yes—
1309#125—533no—
1310#125—533no—
1311#125—536no—
1312#125—536no—
1313#125—533no—
1314#125—536no—
1315#125—533no—
1316#125—533no—
1317#125—536no—
1318#125—533no—
1319#125—536no—
1320#125—536no—
1321#125—536no—
1322#125—536no—
1323#125—536no—
1324#125—533no—
1325#125—533no—
1326#125—533no—
1327#125—533no—
1328#125—533no—
1329#125—536no—
1330#125—533no—
1331#125—533no—
1332#125C22×D5313yes—
1333#125C22×D5313yes—
1334#125C22×D5313yes—
1335#124—533no—
1336#124—533no—
1337#124—533no—
1338#124—533no—
1339#124—536no—
1340#124—536no—
1341#124—533no—
1342#124—533no—
1343#124—531no—
1344#124—533no—
1345#124—536no—
1346#124—536no—
1347#124—533no—
1348#124—536no—
1349#124—533no—
1350#124—536no—
1351#124—536no—
1352#124—533no—
1353#124—533no—
1354#124—531no—
1355#124C22×D5313yes—
1356#124C22×D5316yes—
1357#124C22×D5313yes—
1358#124C22×D5313yes—
1359#123—533no—
1360#123—536no—
1361#123—536no—
1362#123—536no—
1363#123—533no—
1364#123—533no—
1365#123—533no—
1366#123—536no—
1367#123—533no—
1368#123—533no—
1369#123—531no—
1370#123—533no—
1371#123—533no—
1372#123—533no—
1373#123—536no—
1374#123—533no—
1375#123—533no—
1376#123—536no—
1377#123—531no—
1378#123—533no—
1379#123—533no—
1380#123—533no—
1381#123—533no—
1382#123—533no—
1383#123C22×D5316yes—
1384#123C22×D5316yes—
1385#123C22×D5313yes—
1386#123C22×D5313yes—
1387C22⋊Q8—533no—
1388C22⋊Q8—533no—
1389C22⋊Q8—533no—
1390C22⋊Q8—533no—
1391C22⋊Q8—533no—
1392C22⋊Q8—533no—
1393C22⋊Q8—536no—
1394C22⋊Q8—533no—
1395C22⋊Q8—536no—
1396C22⋊Q8—533no—
1397C22⋊Q8—533no—
1398C22⋊Q8—533no—
1399C22⋊Q8—533no—
1400C22⋊Q8—533no—
1401C22⋊Q8—533no—
1402C22⋊Q8—533no—
1403C22⋊Q8—533no—
1404C22⋊Q8—536no—
1405C22⋊Q8—533no—
1406C22⋊Q8—533no—
1407C22⋊Q8—533no—
1408C22⋊Q8—533no—
1409C22⋊Q8—533no—
1410C22⋊Q8—533no—
1411C22⋊Q8—531no—
1412C22⋊Q8—533no—
1413C22⋊Q8—533no—
1414C22⋊Q8—533no—
1415C22⋊Q8—533no—
1416C22⋊Q8—533no—
1417C22⋊Q8—536no—
1418C22⋊Q8—533no—
1419C22⋊Q8—536no—
1420C22⋊Q8—536no—
1421C22⋊Q8—536no—
1422C22⋊Q8—533no—
1423C22⋊Q8—536no—
1424C22⋊Q8—536no—
1425C22⋊Q8—536no—
1426C22⋊Q8—536no—
1427C22⋊Q8C22×D5313yes—
1428C22⋊Q8C22×D5313yes—
1429C22⋊Q8C22×D5313yes—
1430#121—533no—
1431#121—533no—
1432#121—533no—
1433#121—533no—
1434#121—533no—
1435#121—536no—
1436#121—533no—
1437#121—533no—
1438#121—536no—
1439#121—536no—
1440#121—533no—
1441#121—533no—
1442#121—536no—
1443#121—533no—
1444#121—533no—
1445#121—531no—
1446#121—531no—
1447#121—533no—
1448#121—533no—
1449#121—531no—
1450#121—533no—
1451#121—533no—
1452#121—533no—
1453#121C22×D5313yes—
1454#121C22×D5313yes—
1455#121C22×D5313yes—
1456#121C22×D5313yes—
1457#121C22×D5316yes—
1458#121C22×D5313yes—
1459#120—533no—
1460#120—533no—
1461#120—531no—
1462#120—531no—
1463C4×Q8—531no—
1464C4×Q8—533no—
1465C4×Q8—531no—
1466C4×Q8—533no—
1467C4×Q8—531no—
1468C4×Q8—531no—
1469C4×Q8—536no—
1470C4×Q8—533no—
1471C4×Q8—533no—
1472C4×Q8—533no—
1473C4×Q8—536no—
1474C4×Q8—533no—
1475C4×Q8—533no—
1476C4×Q8—536no—
1477C4×Q8—533no—
1478C4×Q8—533no—
1479C4×Q8—536no—
1480C4×Q8—533no—
1481C4×Q8—533no—
1482C4×Q8—533no—
1483C4×Q8—533no—
1484C4×Q8—533no—
1485C4×Q8—536no—
1486C4×Q8—536no—
1487C4×Q8—536no—
1488C4×Q8—533no—
1489C4×Q8—533no—
1490C4×Q8—533no—
1491C4×Q8—536no—
1492C4×Q8—533no—
1493C4×Q8—533no—
1494C4×Q8—533no—
1495C4×Q8—536no—
1496C4×Q8—533no—
1497C4×Q8—533no—
1498C4×Q8—533no—
1499C4×Q8—536no—
1500C4×Q8—533no—
1501C4×Q8—533no—
1502C4×Q8—533no—
1503C4×Q8—533no—
1504C4×Q8—533no—
1505C4×Q8—533no—
1506C4×Q8—536no—
1507C4×Q8—536no—
1508C4×Q8C22×D5311yescharacteristic
1509C4×Q8C22×D5313yes—
1510C4×Q8C22×D5311yescharacteristic
1511C4×Q8C22×D5313yes—
1512C4×Q8C22×D5311yescharacteristic
1513C4×Q8C22×D5311yescharacteristic
1514C4×Q8C22×D5313yes—
1515C4×D4—533no—
1516C4×D4—533no—
1517C4×D4—533no—
1518C4×D4—533no—
1519C4×D4—536no—
1520C4×D4—536no—
1521C4×D4—536no—
1522C4×D4—536no—
1523C4×D4—536no—
1524C4×D4—533no—
1525C4×D4—533no—
1526C4×D4—536no—
1527C4×D4—533no—
1528C4×D4—533no—
1529C4×D4—536no—
1530C4×D4—533no—
1531C4×D4—533no—
1532C4×D4—533no—
1533C4×D4—533no—
1534C4×D4—536no—
1535C4×D4—533no—
1536C4×D4—533no—
1537C4×D4—531no—
1538C4×D4—533no—
1539C4×D4—533no—
1540C4×D4—533no—
1541C4×D4—533no—
1542C4×D4—536no—
1543C4×D4—533no—
1544C4×D4—536no—
1545C4×D4—536no—
1546C4×D4—536no—
1547C4×D4—536no—
1548C4×D4—531no—
1549C4×D4—533no—
1550C4×D4—533no—
1551C4×D4—533no—
1552C4×D4—533no—
1553C4×D4C22×D5313yes—
1554C4×D4C22×D5313yes—
1555C4×D4C22×D5313yes—
1556C4×D4C22×D5313yes—
1557C4×D4C22×D5313yes—
1558C4×D4C22×D5313yes—
1559C4×D4C22×D5316yes—
1560C4×D4C22×D5313yes—
1561#117—533no—
1562#117—533no—
1563#117—533no—
1564#117—533no—
1565#117—536no—
1566#117—536no—
1567#117—533no—
1568#117—533no—
1569#117—533no—
1570#117—533no—
1571#117—533no—
1572#117—533no—
1573#117—533no—
1574#117—533no—
1575#117—536no—
1576#117—533no—
1577#117—533no—
1578#117—536no—
1579#117—536no—
1580#117—536no—
1581#117—536no—
1582#117—536no—
1583#117—536no—
1584#117—536no—
1585#117—536no—
1586#117—533no—
1587#117—533no—
1588#117—536no—
1589#117—533no—
1590#117—533no—
1591#117—533no—
1592#117—533no—
1593#117—536no—
1594#117C22×D5313yes—
1595#117C22×D5313yes—
1596#117C22×D5313yes—
1597#117C22×D5313yes—
1598#117C22×D5316yes—
1599C2×C4⋊C4—536no—
1600C2×C4⋊C4—536no—
1601C2×C4⋊C4—533no—
1602C2×C4⋊C4—533no—
1603C2×C4⋊C4—533no—
1604C2×C4⋊C4—533no—
1605C2×C4⋊C4—533no—
1606C2×C4⋊C4—533no—
1607C2×C4⋊C4—533no—
1608C2×C4⋊C4C22×D5313yes—
1609C2×C22⋊C4—533no—
1610C2×C22⋊C4—531no—
1611C2×C42—536no—
1612C2×C42—536no—
1613C2×C42—533no—
1614C2×C42—533no—
1615C2×C42—536no—
1616C2×C42—533no—
1617C2×C42—533no—
1618C2×C42—533no—
1619C2×C42C22×D5313yes—
1620C24—531no—
1621#41—24no—
1622#41—24no—
1623#41—10612no—
1624#41—10612no—
1625#41—10612no—
1626#41—10612no—
1627#41—10612no—
1628#41—10612no—
1629C2×Q8—24no—
1630C2×Q8—538no—
1631C2×Q8—533no—
1632C2×Q8—536no—
1633C2×Q8—533no—
1634C2×Q8—533no—
1635C2×Q8—533no—
1636C2×Q8—533no—
1637C2×Q8—533no—
1638C2×Q8—533no—
1639C2×Q8—531no—
1640C2×Q8—533no—
1641C2×Q8—536no—
1642C2×Q8—10612no—
1643C2×Q8—10612no—
1644C2×Q8—10612no—
1645C2×Q8—10612no—
1646C2×Q8—10612no—
1647C2×Q8—1064no—
1648C2×Q8—1064no—
1649C2×Q8—1064no—
1650C2×Q8C23×D5313yes—
1651C2×Q8C23×D5313yes—
1652C2×Q8C23×D5311yescharacteristic
1653C2×D4—533no—
1654C2×D4—533no—
1655C2×D4—533no—
1656C2×D4—533no—
1657C2×D4—533no—
1658C2×D4—531no—
1659C2×D4—533no—
1660C2×D4—531no—
1661C2×D4—533no—
1662C2×D4—533no—
1663C2×D4—531no—
1664C2×D4—531no—
1665C2×D4—531no—
1666C2×D4—531no—
1667C2×D4—531no—
1668C2×D4C23×D5313yes—
1669C2×D4C23×D5313yes—
1670C2×D4C23×D5313yes—
1671C2×D4C23×D5313yes—
1672C2×D4C23×D5316yes—
1673C2×D4C23×D5313yes—
1674C22×C4—533no—
1675C22×C4—536no—
1676C22×C4—536no—
1677C22×C4—533no—
1678C22×C4—533no—
1679C22×C4—533no—
1680C22×C4—536no—
1681C22×C4—533no—
1682C22×C4—533no—
1683C22×C4—533no—
1684C22×C4—533no—
1685C22×C4—533no—
1686C22×C4—531no—
1687C22×C4—533no—
1688C22×C4—531no—
1689C22×C4—533no—
1690C22×C4—531no—
1691C22×C4—531no—
1692C22×C4—533no—
1693C22×C4—533no—
1694C22×C4—10612no—
1695C22×C4C23×D5313yes—
1696C22×C4C23×D5313yes—
1697C22×C4C23×D5313yes—
1698C22×C4C23×D5313yes—
1699C22×C4C23×D5316yes—
1700C22×C4C23×D5313yes—
1701C4⋊C4—536no—
1702C4⋊C4—533no—
1703C4⋊C4—533no—
1704C4⋊C4—533no—
1705C4⋊C4—533no—
1706C4⋊C4—536no—
1707C4⋊C4—533no—
1708C4⋊C4—533no—
1709C4⋊C4—536no—
1710C4⋊C4—533no—
1711C4⋊C4—536no—
1712C4⋊C4—533no—
1713C4⋊C4—533no—
1714C4⋊C4—533no—
1715C4⋊C4—533no—
1716C4⋊C4—533no—
1717C4⋊C4—533no—
1718C4⋊C4—533no—
1719C4⋊C4—533no—
1720C4⋊C4—533no—
1721C4⋊C4—533no—
1722C4⋊C4—533no—
1723C4⋊C4—533no—
1724C4⋊C4—531no—
1725C4⋊C4—533no—
1726C4⋊C4—533no—
1727C4⋊C4—536no—
1728C4⋊C4—536no—
1729C4⋊C4—533no—
1730C4⋊C4—536no—
1731C4⋊C4—533no—
1732C4⋊C4—533no—
1733C4⋊C4—533no—
1734C4⋊C4—533no—
1735C4⋊C4—533no—
1736C4⋊C4—536no—
1737C4⋊C4—533no—
1738C4⋊C4—533no—
1739C4⋊C4—533no—
1740C4⋊C4—536no—
1741C4⋊C4—533no—
1742C4⋊C4—533no—
1743C4⋊C4—536no—
1744C4⋊C4—536no—
1745C4⋊C4—533no—
1746C4⋊C4—533no—
1747C4⋊C4—531no—
1748C4⋊C4—533no—
1749C4⋊C4—531no—
1750C4⋊C4C23×D5313yes—
1751C4⋊C4C23×D5313yes—
1752C4⋊C4C23×D5313yes—
1753C4⋊C4C23×D5313yes—
1754C4⋊C4C23×D5313yes—
1755C4⋊C4C23×D5313yes—
1756C4⋊C4C23×D5313yes—
1757C4⋊C4C23×D5316yes—
1758C4⋊C4C23×D5311yescharacteristic
1759C4⋊C4C23×D5313yes—
1760C4⋊C4C23×D5311yescharacteristic
1761C4⋊C4C23×D5313yes—
1762C4⋊C4C23×D5313yes—
1763C4⋊C4C23×D5313yes—
1764C4⋊C4C23×D5311yescharacteristic
1765C22⋊C4—533no—
1766C22⋊C4—531no—
1767C22⋊C4—533no—
1768C22⋊C4—533no—
1769C22⋊C4—536no—
1770C22⋊C4—536no—
1771C22⋊C4—536no—
1772C22⋊C4—533no—
1773C22⋊C4—536no—
1774C22⋊C4—533no—
1775C22⋊C4—533no—
1776C22⋊C4—536no—
1777C22⋊C4—533no—
1778C22⋊C4—533no—
1779C22⋊C4—533no—
1780C22⋊C4—531no—
1781C22⋊C4—533no—
1782C22⋊C4—533no—
1783C22⋊C4—531no—
1784C22⋊C4—533no—
1785C22⋊C4—531no—
1786C22⋊C4—533no—
1787C22⋊C4—531no—
1788C22⋊C4—531no—
1789C22⋊C4—531no—
1790C22⋊C4—533no—
1791C22⋊C4—533no—
1792C22⋊C4—533no—
1793C22⋊C4—533no—
1794C22⋊C4—533no—
1795C22⋊C4—533no—
1796C22⋊C4—531no—
1797C22⋊C4—533no—
1798C22⋊C4—531no—
1799C22⋊C4—533no—
1800C22⋊C4—533no—
1801C22⋊C4—533no—
1802C22⋊C4—531no—
1803C22⋊C4—531no—
1804C22⋊C4C23×D5311yescharacteristic
1805C22⋊C4C23×D5313yes—
1806C22⋊C4C23×D5313yes—
1807C22⋊C4C23×D5313yes—
1808C22⋊C4C23×D5316yes—
1809C22⋊C4C23×D5313yes—
1810C22⋊C4C23×D5313yes—
1811C22⋊C4C23×D5316yes—
1812C22⋊C4C23×D5313yes—
1813C22⋊C4C23×D5316yes—
1814C22⋊C4C23×D5311yescharacteristic
1815C22⋊C4C23×D5311yescharacteristic
1816C22⋊C4C23×D5313yes—
1817C42—533no—
1818C42—533no—
1819C42—533no—
1820C42—531no—
1821C42—533no—
1822C42—533no—
1823C42—533no—
1824C42—536no—
1825C42—536no—
1826C42—536no—
1827C42—533no—
1828C42—536no—
1829C42—533no—
1830C42—536no—
1831C42—536no—
1832C42—536no—
1833C42—533no—
1834C42—533no—
1835C42—533no—
1836C42—533no—
1837C42—533no—
1838C42C23×D5313yes—
1839C42C23×D5316yes—
1840C42C23×D5313yes—
1841C42C23×D5313yes—
1842C42C23×D5311yescharacteristic
1843C42C23×D5313yes—
1844C42C23×D5313yes—
1845C23—531no—
1846C23—531no—
1847C23—531no—
1848C23—531no—
1849C23—1062no—
1850C23—2121no—
1851C23—2121no—
1852C23C24×D5311yescharacteristic
1853C23C24×D5313yes—
1854C23C24×D5313yes—
1855Q8—26no—
1856Q8—43no—
1857Q8—5312no—
1858Q8—10612no—
1859Q8—1066no—
1860Q8—1066no—
1861Q8—1066no—
1862Q8—1066no—
1863Q8—1066no—
1864Q8—2121no—
1865Q8—2123no—
1866Q8—2126no—
1867Q8—2123no—
1868Q8#41×D5314yes—
1869D4—26no—
1870D4—26no—
1871D4—43no—
1872D4—43no—
1873D4—43no—
1874D4—46no—
1875D4—1062no—
1876D4—1062no—
1877D4—1066no—
1878D4—1066no—
1879D4—1066no—
1880D4—1066no—
1881D4—2121no—
1882D4—2121no—
1883D4—2121no—
1884D4—2123no—
1885D4—2121no—
1886D4—2123no—
1887D4—2123no—
1888D4—2123no—
1889D4—2121no—
1890C2×C4—26no—
1891C2×C4—26no—
1892C2×C4—26no—
1893C2×C4—43no—
1894C2×C4—46no—
1895C2×C4—43no—
1896C2×C4—533no—
1897C2×C4—5312no—
1898C2×C4—531no—
1899C2×C4—533no—
1900C2×C4—531no—
1901C2×C4—531no—
1902C2×C4—533no—
1903C2×C4—533no—
1904C2×C4—533no—
1905C2×C4—533no—
1906C2×C4—531no—
1907C2×C4—533no—
1908C2×C4—533no—
1909C2×C4—1066no—
1910C2×C4—1066no—
1911C2×C4—1066no—
1912C2×C4—10612no—
1913C2×C4—10612no—
1914C2×C4—1066no—
1915C2×C4—1066no—
1916C2×C4—1066no—
1917C2×C4—2121no—
1918C2×C4—2123no—
1919C2×C4—2123no—
1920C2×C4—2121no—
1921C2×C4—2123no—
1922C2×C4—2121no—
1923C2×C4—2123no—
1924C2×C4—2121no—
1925C2×C4—2123no—
1926C2×C4—2126no—
1927C2×C4—2123no—
1928C2×C4C24×D5311yescharacteristic
1929C2×C4C24×D5313yes—
1930C2×C4C24×D5313yes—
1931C2×C4C24×D5311yescharacteristic
1932C2×C4C24×D5313yes—
1933C2×C4C24×D5311yescharacteristic
1934C2×C4C24×D5311yescharacteristic
1935C2×C4C24×D5313yes—
1936C2×C4C24×D5313yes—
1937C2×C4C24×D5311yescharacteristic
1938C2×C4C24×D5311yescharacteristic
1939C2×C4C24×D5313yes—
1940C22—21no—
1941C22—23no—
1942C22—23no—
1943C22—23no—
1944C22—23no—
1945C22—23no—
1946C22—23no—
1947C22—21no—
1948C22—21no—
1949C22—532no—
1950C22—1061no—
1951C22—1061no—
1952C22—1061no—
1953C22—1061no—
1954C22—1061no—
1955C22—1061no—
1956C22—1061no—
1957C22—1061no—
1958C22—1061no—
1959C22—1061no—
1960C22—1061no—
1961C22—2124no—
1962C22C25×D5311yescharacteristic
1963C4—21no—
1964C4—21no—
1965C4—23no—
1966C4—23no—
1967C4—21no—
1968C4—21no—
1969C4—23no—
1970C4—23no—
1971C4—21no—
1972C4—23no—
1973C4—21no—
1974C4—536no—
1975C4—1063no—
1976C4—1063no—
1977C4—1063no—
1978C4—1063no—
1979C4—1061no—
1980C4—1063no—
1981C4—1061no—
1982C4—1063no—
1983C4—1061no—
1984C4—1063no—
1985C4—1061no—
1986C4C2×#41×D5316yes—
1987C2—41no—
1988C2—43no—
1989C2—43no—
1990C2—1062no—
1991C2—2121no—
1992C2—2121no—
1993C2—2121no—
1994C2C22×#41×D5311yescharacteristic
1995C2#2028952811yescharacteristic
1996C2#2028952811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3524C2
hypercenter#3524D53
hypocenterC53#62850
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3524

Complements

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

NH ≅ G/Ntype
1. #20288819C2semidirect
2. #20288818C2semidirect
3. #20288813C2semidirect
4. #20288812C2semidirect
5. #20288809C2semidirect
6. #20288805C2semidirect
7. #20288804C2semidirect
8. #20288732C2semidirect
9. #20288731C2semidirect
10. #20288728C2semidirect
11. #20288723C2semidirect
12. #20288701C2semidirect
13. #20288700C2semidirect
14. #20288699C2semidirect
15. #20288698C2semidirect
16. #20288574C2semidirect
17. #20288572C2semidirect
18. #20288522C2semidirect
19. #20288480C2semidirect
20. #20288431C2semidirect
21. #20288426C2semidirect
22. #20288361C2semidirect
23. #20288361C2semidirect
24. #20288141C2semidirect
25. #20288140C2semidirect
26. #20288099C2semidirect
27. #20288098C2semidirect
28. #20287926C2semidirect
29. C4×#13133264C2semidirect
30. #519×D53C2semidirect
31. C53×#3524C2semidirect
35. #16811359C22semidirect
36. #16811357C22semidirect
37. Q8×Dic106C22semidirect
38. #16811353C22semidirect
39. #16811352C22semidirect
40. #16811351C22semidirect
41. #16811351C22semidirect
42. #16811350C22semidirect
43. #16811350C22semidirect
44. #16811350C22semidirect
45. #16811349C22semidirect
46. #16811349C22semidirect
48. #16811344C22semidirect
50. #16811343C22semidirect
51. #16811343C22semidirect
53. #16811342C22semidirect
54. #16811342C22semidirect
55. #16811342C22semidirect
58. #16811341C22semidirect
59. #16811341C22semidirect
61. #16811340C22semidirect
67. #16811332C22semidirect
68. #16811331C22semidirect
69. #16811328C22semidirect
75. #16811314C22semidirect
77. #16811313C22semidirect
80. #16811311C22semidirect
82. #16811310C22semidirect
83. #16811310C22semidirect
86. #16811293C22semidirect
89. Q8×D212C22semidirect
92. D4×Dic106C22semidirect
101. #16811280C22semidirect
102. #16811280C22semidirect
105. #16811279C22semidirect
106. #16811279C22semidirect
110. #16811242C22semidirect
112. #16811241C22semidirect
115. #16811240C22semidirect
119. #16811238C22semidirect
121. #16811237C22semidirect
123. #16811236C22semidirect
125. #16811235C22semidirect
126. #16811233C22semidirect
128. #16811231C22semidirect
130. #16811230C22semidirect
131. #16811230C22semidirect
152. #16811180C22semidirect
154. #16811178C22semidirect
156. #16811177C22semidirect
157. #16811176C22semidirect
158. #16811175C22semidirect
159. #16811175C22semidirect
167. #16811155C22semidirect
170. #16811154C22semidirect
173. #16811153C22semidirect
175. #16811152C22semidirect
181. #16811150C22semidirect
186. #16811106C22semidirect
191. #16811102C22semidirect
192. #16811102C22semidirect
196. #16811100C22semidirect
197. #16811100C22semidirect
204. #16811099C22semidirect
205. #16811099C22semidirect
206. #41×Dic53C22semidirect
211. C4×#11719947C22semidirect
212. C4×#11719947C22semidirect
213. C2×C4×Dic106C22semidirect
214. C2×#13133182C22semidirect
219. C4×Q8×D53C22semidirect
220. C4×Q8×D53C22semidirect
223. C53×#559C22semidirect
224. C53×#557C22semidirect
227. C53×#552C22semidirect
228. C53×#550C22semidirect
231. C53×#542C22semidirect
234. C53×#529C22semidirect
235. C53×#520C22semidirect
237. C4×#41×C53C22semidirect
992. #3524D53semidirect
1035. #559C2×D53semidirect
1046. #557C2×D53semidirect
1088. #552C2×D53semidirect
1090. #550C2×D53semidirect
1128. #542C2×D53semidirect
1191. #529C2×D53semidirect
1203. #520C2×D53semidirect
1225. C4×#41C2×D53semidirect
1236. C53#62850semidirect

Maximal subgroups

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

subgroupindex
#202888192
#202888182
#202888132
#202888122
#202888092
#202888052
#202888042
#202887322
#202887312
#202887282
#202887232
#202887012
#202887002
#202886992
#202886982
#202885742
#202885722
#202885222
#202884802
#202884312
#202884262
#202883612
#202881412
#202881402
#202880992
#202880982
#202879262
C4×#131332642
#519×D532
C53×#35242
#6285053