Finite Group Databasebeta

← #28292816

Subgroups — #28292816

Order 13568.

6530 conjugacy classes of subgroups.

The subgroup lattice has 1768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289324C212yesmaximal, complemented
2#20289315C212yesmaximal, complemented
3#20289313C214yesmaximal, complemented
4#20289252C212yesmaximal, complemented
5#20289243C212yesmaximal, complemented
6#20289241C214yesmaximal, complemented
7#20289171C211yesmaximal, characteristic, complemented
8#20289168C212yesmaximal, complemented
9#20289165C214yesmaximal, complemented
10#20288691C214yesmaximal, complemented
11#20288689C214yesmaximal, complemented
12#20288685C214yesmaximal, complemented
13#20288682C214yesmaximal, complemented
14#20288631C214yesmaximal, complemented
15#20288535C214yesmaximal, complemented
16#20288423C214yesmaximal, complemented
17#20288420C214yesmaximal, complemented
18#20288419C214yesmaximal, complemented
19#20288009C212yesmaximal, complemented
20C2×#125×D53C211yesmaximal, characteristic, complemented
21C53×#3553C211yesmaximal, characteristic, complemented
22C53⋊#564C2214yescomplemented
23C53⋊#564C2211yescharacteristic, complemented
24C53⋊#564C2212yescomplemented
25#16811377C2212yescomplemented
26#16811377C2212yescomplemented
27#16811375C2214yescomplemented
28#16811374C2214yescomplemented
29#16811373C2212yescomplemented
30#16811371C2211yescharacteristic, complemented
31#16811370C2214yescomplemented
32#16811367C2212yescomplemented
33#16811351C2214yescomplemented
34#16811350C2214yescomplemented
35#16811350C2214yescomplemented
36#16811348C2214yescomplemented
37#16811332C2214yes—
38#16811332C2214yes—
39#16811331C2214yes—
40#16811331C2214yescomplemented
41#16811330C2214yes—
42#16811329C2214yes—
43#16811329C2214yes—
44#16811328C2214yes—
45#16811328C2214yescomplemented
46#16811327C2214yes—
47#16811327C2214yes—
48#16811327C2214yes—
49#16811327C2214yes—
50#16811327C2214yescomplemented
51#16811327C2214yescomplemented
52#16811325C2214yes—
53#16811324C2214yes—
54#16811324C2214yes—
55#16811324C2214yescomplemented
56#16811322C2214yes—
57#16811322C2214yes—
58#16811322C2214yescomplemented
59#16811321C2214yes—
60#16811319C2214yes—
61#16811318C2214yes—
62#16811318C2214yes—
63#16811318C2214yescomplemented
64#16811316C2214yes—
65#16811316C2214yes—
66#16811316C2214yescomplemented
67#16811315C2214yescomplemented
68#16811314C2214yes—
69#16811312C2214yes—
70#16811312C2214yescomplemented
71#16811311C2214yes—
72#16811311C2214yescomplemented
73#16811310C2214yescomplemented
74#16811310C2214yescomplemented
75#16811309C2214yes—
76#16811309C2214yes—
77#16811309C2214yes—
78#16811309C2214yes—
79#16811309C2214yescomplemented
80#16811309C2214yescomplemented
81#16811307C2214yes—
82#16811306C2214yescomplemented
83#16811306C2214yescomplemented
84#16811305C2214yes—
85#16811305C2214yes—
86#16811305C2214yes—
87#16811305C2214yes—
88#16811305C2214yescomplemented
89#16811305C2214yescomplemented
90#16811278C2214yes—
91#16811276C2214yes—
92#16811275C2214yes—
93#16811275C2214yes—
94#16811275C2214yes—
95#16811275C2214yes—
96#16811274C2214yes—
97#16811273C2214yes—
98#16811271C2214yes—
99#16811271C2214yes—
100#16811271C2214yes—
101#16811271C2214yes—
102#16811253C2214yes—
103#16811253C2214yescomplemented
104#16811252C2214yes—
105#16811252C2214yescomplemented
106#16811252C2214yescomplemented
107#16811250C2214yes—
108#16811250C2214yescomplemented
109#16811236C2214yescomplemented
110#16811233C2214yescomplemented
111#16811232C2214yescomplemented
112#16811232C2214yescomplemented
113#16811232C2214yescomplemented
114#16811231C2214yescomplemented
115#16811230C2214yescomplemented
116#16811230C2214yescomplemented
117#16811230C2214yescomplemented
118#16811225C2214yescomplemented
119#16811223C2214yescomplemented
120#16811222C2214yescomplemented
121#16811221C2214yes—
122#16811221C2214yes—
123#16811221C2214yescomplemented
124#16811220C2214yes—
125#16811219C2214yes—
126#16811219C2214yes—
127#16811217C2214yes—
128#16811217C2214yes—
129#16811217C2214yescomplemented
130#16811216C2214yes—
131#16811216C2214yes—
132#16811216C2214yescomplemented
133#16811215C2214yescomplemented
134#16811214C2214yes—
135#16811214C2214yes—
136#16811214C2214yescomplemented
137#16811214C2214yescomplemented
138#16811203C2214yes—
139#16811202C2214yes—
140#16811200C2214yes—
141#16811179C2212yes—
142#16811177C2212yes—
143#16811177C2214yescomplemented
144#16811175C2212yes—
145#16811175C2214yescomplemented
146#16811172C2212yes—
147#16811170C2212yes—
148#16811168C2212yes—
149#16811158C2212yes—
150#16811157C2212yes—
151#16811156C2214yes—
152#16811156C2214yes—
153#16811156C2214yescomplemented
154#16811153C2214yescomplemented
155#16811152C2212yes—
156#16811151C2214yes—
157#16811151C2214yescomplemented
158#16811150C2214yes—
159#16811150C2214yescomplemented
160C2×#13133209C2211yescharacteristic
161C2×#13133208C2212yes—
162C2×#13133207C2214yes—
163C2×#13133207C2214yescomplemented
164#125×D53C2214yes—
165#125×D53C2212yes—
166#125×D53C2212yes—
167#125×D53C2212yes—
168#125×D53C2214yes—
169#125×D53C2212yes—
170#125×D53C2214yescomplemented
171#16811136C2212yes—
172#16811136C2214yes—
173#16811133C2212yes—
174#16811133C2214yes—
175#16811132C2214yes—
176#16811132C2214yes—
177#16811132C2214yes—
178#16811131C2214yes—
179#16811105C2214yes—
180#16811104C2214yes—
181#16811103C2214yes—
182#16811102C2214yes—
183#16811102C2214yes—
184#16811102C2214yes—
185C4×#11719949C2212yes—
186#16811091C2214yes—
187C4×#11719947C2214yes—
188C4×#11719947C2212yes—
189C2×C4⋊C4×D53C2214yes—
190C2×C4⋊C4×D53C2212yes—
191C2×C42×D53C2211yescharacteristic
192C53×#564C2211yescharacteristic, complemented
193C53×#563C2212yescomplemented
194C53×#562C2211yescharacteristic, complemented
195C53×#554C2214yes—
196C53×#553C2214yes—
197C53×#552C2214yescomplemented
198C53×#541C2214yescomplemented
199C53×#539C2214yes—
200C53×#539C2214yescomplemented
201C53×#529C2212yes—
202C2×#125×C53C2211yescharacteristic
203C2×#11719949C2314yes—
204C2×#11719949C2312yes—
205C2×#11719945C2314yes—
206C2×#11719945C2314yes—
207C2×#11719945C2314yes—
208C2×#11719947C2314yes—
209C2×#11719947C2314yes—
210C2×#11719947C2312yes—
211C22×C4×D53C2311yescharacteristic
212C22×C4×D53C2312yes—
213C22×C4×D53C2314yes—
214#13133217C2314yes—
215#13133216C2314yes—
216#13133216C2314yes—
217#13133216C2314yes—
218#13133216C2314yes—
219#13133216C2314yes—
220#13133216C2314yes—
221#13133216C2312yes—
222#13133216C2312yes—
223#13133215C2314yes—
224#13133215C2314yes—
225#13133215C2314yes—
226#13133215C2314yes—
227#13133215C2312yes—
228#13133213C2312yes—
229#13133212C2314yes—
230#13133212C2314yes—
231#13133212C2314yes—
232#13133212C2314yes—
233#13133212C2314yes—
234#13133212C2314yes—
235#13133212C2314yes—
236#13133212C2314yes—
237#13133212C2314yes—
238#13133212C2314yes—
239#13133212C2314yes—
240#13133211C2314yes—
241#13133211C2314yes—
242#13133211C2314yes—
243#13133210C2314yes—
244#13133210C2314yes—
245#13133210C2314yes—
246#13133210C2314yes—
247#13133210C2314yes—
248#13133210C2314yes—
249#13133210C2314yes—
250#13133210C2314yes—
251#13133210C2314yes—
252#13133209C2311yescharacteristic
253#13133209C2314yes—
254#13133209C2314yes—
255#13133209C2314yes—
256#13133209C2311yescharacteristic
257#13133209C2312yes—
258#13133209C2312yes—
259#13133209C2314yes—
260#13133208C2314yes—
261#13133208C2314yes—
262#13133208C2314yes—
263#13133208C2314yes—
264#13133208C2314yes—
265#13133208C2314yes—
266#13133208C2314yes—
267#13133208C2314yes—
268#13133208C2314yes—
269#13133208C2314yes—
270#13133208C2312yes—
271#13133208C2312yes—
272#13133208C2312yes—
273#13133208C2312yes—
274#13133207C2314yes—
275#13133207C2314yes—
276#13133207C2314yes—
277#13133207C2314yes—
278#13133207C2314yes—
279#13133207C2314yes—
280#13133207C2314yes—
281#13133207C2314yes—
282#13133207C2314yes—
283#13133207C2314yes—
284#13133207C2314yes—
285#13133207C2314yes—
286#13133207C2314yes—
287#13133207C2314yes—
288#13133207C2314yes—
289#13133207C2314yes—
290#13133207C2314yes—
291#13133207C2314yes—
292#13133207C2314yes—
293#13133207C2314yes—
294#13133207C2314yes—
295#13133207C2314yes—
296#13133207C2314yes—
297#13133207C2314yes—
298#13133207C2314yes—
299#13133207C2314yes—
300#13133207C2314yes—
301#13133207C2314yes—
302#13133207C2314yes—
303#13133207C2314yes—
304#13133205C2312yes—
305#13133203C2314yes—
306#13133203C2314yes—
307#13133202C2314yes—
308#13133202C2314yes—
309#13133202C2314yes—
310#13133202C2314yes—
311#13133202C2314yes—
312#13133202C2314yes—
313#13133202C2314yes—
314#13133202C2314yes—
315#13133202C2314yes—
316#13133202C2314yes—
317#13133202C2314yes—
318#13133202C2314yes—
319#13133201C2314yes—
320#13133201C2314yes—
321#13133201C2314yes—
322#13133201C2314yes—
323#13133200C2314yes—
324#13133200C2314yes—
325#13133200C2314yes—
326#13133199C2314yes—
327#13133199C2314yes—
328#13133199C2314yes—
329#13133199C2314yes—
330#13133199C2314yes—
331#13133199C2314yes—
332#13133199C2314yes—
333#13133199C2314yes—
334#13133199C2314yes—
335#13133199C2314yes—
336#13133199C2314yes—
337#13133199C2314yes—
338#13133198C2314yes—
339#13133198C2314yes—
340#13133197C2314yes—
341#13133197C2314yes—
342#13133197C2314yes—
343#13133197C2314yes—
344#13133197C2314yes—
345#13133197C2314yes—
346#13133197C2312yes—
347#13133196C2314yes—
348#13133196C2314yes—
349#13133196C2314yes—
350#13133196C2314yes—
351#13133196C2312yes—
352#13133195C2314yes—
353#13133195C2314yes—
354#13133195C2314yes—
355#13133195C2314yes—
356#13133195C2314yes—
357#13133195C2314yes—
358#13133195C2314yes—
359#13133195C2314yes—
360#13133195C2314yes—
361#13133195C2314yes—
362#13133195C2314yes—
363#13133195C2314yes—
364#13133195C2314yes—
365#13133195C2314yes—
366#13133195C2314yes—
367#13133194C2314yes—
368#13133194C2314yes—
369#13133194C2314yes—
370#13133194C2314yes—
371#13133194C2314yes—
372#13133194C2314yes—
373#13133194C2314yes—
374#13133194C2314yes—
375#13133194C2314yes—
376#13133194C2314yes—
377#13133194C2314yes—
378#13133194C2314yes—
379#13133194C2314yes—
380#13133193C2314yes—
381#13133193C2314yes—
382#13133193C2314yes—
383#13133193C2314yes—
384#13133193C2312yes—
385#13133192C2314yes—
386#13133192C2314yes—
387#13133192C2312yes—
388#13133191C2314yes—
389#13133191C2314yes—
390#13133191C2312yes—
391#13133190C2314yes—
392#13133190C2314yes—
393#13133190C2314yes—
394#13133190C2314yes—
395#13133190C2314yes—
396#13133190C2314yes—
397#13133190C2314yes—
398#13133190C2314yes—
399#13133190C2314yes—
400#13133189C2314yes—
401#13133189C2314yes—
402#13133189C2314yes—
403#13133189C2314yes—
404#13133189C2314yes—
405#13133189C2314yes—
406#13133189C2314yes—
407#13133188C2314yes—
408#13133188C2314yes—
409#13133188C2312yes—
410#13133187C2314yes—
411#13133185C2314yes—
412Q8×Dic53C2314yes—
413Q8×Dic53C2312yes—
414C4×Dic106C2314yes—
415C4×Dic106C2314yes—
416C4×Dic106C2314yes—
417C4×Dic106C2314yes—
418C4×Dic106C2314yes—
419C4×Dic106C2314yes—
420C4×Dic106C2312yes—
421#13133182C2314yes—
422#13133182C2314yes—
423#13133182C2314yes—
424#13133182C2314yes—
425#13133182C2314yes—
426#13133182C2314yes—
427#13133182C2312yes—
428#13133182C2314yes—
429#13133182C2314yes—
430C4×D212C2314yes—
431C4×D212C2314yes—
432C4×D212C2314yes—
433C4×D212C2314yes—
434C4×D212C2312yes—
435D4×Dic53C2314yes—
436D4×Dic53C2312yes—
437D4×Dic53C2314yes—
438D4×Dic53C2314yes—
439D4×Dic53C2314yes—
440#13133179C2314yes—
441#13133179C2314yes—
442#13133179C2314yes—
443#13133179C2314yes—
444#13133179C2314yes—
445#13133179C2312yes—
446#13133179C2314yes—
447C4×C22⋊D53C2314yes—
448C4×C22⋊D53C2314yes—
449C4×C22⋊D53C2314yes—
450C4×C22⋊D53C2314yes—
451C4×C22⋊D53C2314yes—
452C4×C22⋊D53C2314yes—
453C4×C22⋊D53C2314yes—
454C4×C22⋊D53C2314yes—
455C4×C22⋊D53C2314yes—
456C4×C22⋊D53C2314yes—
457C4×C22⋊D53C2314yes—
458#13133177C2314yes—
459#13133177C2314yes—
460#13133177C2314yes—
461#13133177C2314yes—
462#13133177C2314yes—
463#13133177C2314yes—
464#13133177C2314yes—
465#13133177C2314yes—
466#13133177C2314yes—
467#13133177C2314yes—
468#13133177C2314yes—
469#13133177C2314yes—
470#13133177C2314yes—
471#13133177C2314yes—
472#13133177C2314yes—
473#13133176C2314yes—
474#13133175C2312yes—
475#13133175C2314yes—
476#13133175C2314yes—
477#13133175C2314yes—
478#13133175C2314yes—
479#13133175C2312yes—
480#13133175C2314yes—
481#13133175C2314yes—
482#13133174C2314yes—
483#13133174C2314yes—
484#13133174C2314yes—
485#13133174C2314yes—
486#13133174C2314yes—
487#13133174C2314yes—
488#13133174C2314yes—
489#13133174C2314yes—
490#13133173C2314yes—
491#13133173C2314yes—
492#13133173C2314yes—
493#13133173C2314yes—
494#13133173C2314yes—
495#13133173C2314yes—
496#13133173C2314yes—
497C2×C4⋊Dic53C2314yes—
498C2×C4⋊Dic53C2314yes—
499C2×C4⋊Dic53C2312yes—
500C2×#11719919C2314yes—
501C2×#11719919C2314yes—
502C2×#11719919C2314yes—
503C2×#11719919C2314yes—
504C2×#11719919C2314yes—
505C2×#11719919C2314yes—
506C2×#11719919C2314yes—
507C4⋊C4×D53C2312yes—
508C4⋊C4×D53C2314yes—
509C4⋊C4×D53C2314yes—
510C4⋊C4×D53C2314yes—
511C4⋊C4×D53C2314yes—
512C4⋊C4×D53C2312yes—
513C4⋊C4×D53C2314yes—
514C4⋊C4×D53C2314yes—
515C4⋊C4×D53C2314yes—
516C4⋊C4×D53C2314yes—
517C4⋊C4×D53C2314yes—
518C4⋊C4×D53C2314yes—
519C4⋊C4×D53C2314yes—
520C4⋊C4×D53C2312yes—
521C4⋊C4×D53C2314yes—
522C4⋊C4×D53C2312yes—
523C4⋊C4×D53C2314yes—
524C4⋊C4×D53C2314yes—
525C4⋊C4×D53C2314yes—
526C4⋊C4×D53C2314yes—
527C2×C4×Dic53C2312yes—
528C2×C4×Dic53C2311yescharacteristic
529C2×C4×Dic53C2314yes—
530C42×D53C2312yes—
531C42×D53C2312yes—
532C42×D53C2312yes—
533C42×D53C2312yes—
534C42×D53C2314yes—
535C4⋊Q8×C53C2314yes—
536#126×C53C2314yes—
537#126×C53C2314yes—
538#126×C53C2314yes—
539#126×C53C2314yes—
540#126×C53C2314yes—
541#125×C53C2314yes—
542#125×C53C2314yes—
543#125×C53C2314yes—
544#125×C53C2314yes—
545#125×C53C2312yes—
546#125×C53C2314yes—
547#125×C53C2314yes—
548#125×C53C2311yescharacteristic
549#125×C53C2311yescharacteristic
550#125×C53C2312yes—
551#124×C53C2312yes—
552#123×C53C2314yes—
553#123×C53C2314yes—
554#123×C53C2314yes—
555#123×C53C2314yes—
556#123×C53C2314yes—
557C22⋊Q8×C53C2314yes—
558C22⋊Q8×C53C2314yes—
559C22⋊Q8×C53C2314yes—
560C22⋊Q8×C53C2314yes—
561C22⋊Q8×C53C2314yes—
562C22⋊Q8×C53C2312yes—
563C22⋊Q8×C53C2314yes—
564#121×C53C2314yes—
565#121×C53C2312yes—
566#121×C53C2314yes—
567C4×Q8×C53C2312yes—
568C4×Q8×C53C2314yes—
569C4×D4×C53C2314yes—
570C4×D4×C53C2312yes—
571C4×D4×C53C2314yes—
572C4×D4×C53C2314yes—
573C4×D4×C53C2314yes—
574#117×C53C2314yes—
575#117×C53C2314yes—
576C2×C4⋊C4×C53C2314yes—
577C2×C4⋊C4×C53C2312yes—
578C2×C4⋊C4×C53C2314yes—
579C2×C42×C53C2311yescharacteristic
580C23×D53C2411yescharacteristic
581C2×Q8×C53C2414yes—
582C2×Q8×C53C2412yes—
583C2×D4×C53C2414yes—
584C2×D4×C53C2414yes—
585C2×D4×C53C2412yes—
586C22×C4×C53C2411yescharacteristic
587C22×C4×C53C2412yes—
588C22×C4×C53C2414yes—
589C22×C4×C53C2414yes—
590C22×C4×C53C2414yes—
591C22×C4×C53C2414yes—
592C2×C22⋊D53C2414yes—
593C2×C22⋊D53C2414yes—
594C2×C22⋊D53C2414yes—
595C2×C22⋊D53C2414yes—
596C2×C22⋊D53C2414yes—
597C2×C22⋊D53C2414yes—
598C2×C22⋊D53C2414yes—
599C22×Dic53C2414yes—
600C22×Dic53C2412yes—
601C22×Dic53C2414yes—
602C22×Dic53C2414yes—
603C22×Dic53C2414yes—
604C22×Dic53C2414yes—
605C22×Dic53C2411yescharacteristic
606#11719949—48no—
607#11719949—44no—
608#11719947—216no—
609#11719947—48no—
610#11719947—44no—
611#11719945—48no—
612#11719945—48no—
613#11719945—48no—
614C2×D212C2414yes—
615C2×D212C2414yes—
616C2×D212C2414yes—
617C2×D212C2412yes—
618C2×C4×D53—24no—
619C2×C4×D53—44no—
620C2×C4×D53—48no—
621C2×C4×D53C2412yes—
622C2×C4×D53C2412yes—
623C2×C4×D53C2412yes—
624C2×C4×D53C2412yes—
625C2×C4×D53C2414yes—
626C2×C4×D53C2414yes—
627C2×C4×D53C2414yes—
628C2×C4×D53C2412yes—
629C2×C4×D53C2412yes—
630C2×C4×D53C2414yes—
631C2×C4×D53C2414yes—
632C2×C4×D53C2414yes—
633C2×C4×D53C2414yes—
634C2×C4×D53C2414yes—
635C2×C4×D53C2414yes—
636C2×C4×D53C2414yes—
637C2×C4×D53C2414yes—
638C2×Dic106C2414yes—
639C2×Dic106C2414yes—
640C2×Dic106C2414yes—
641C2×Dic106C2412yes—
642C2×Dic106C2414yes—
643C2×Dic106C2414yes—
644C4⋊C4×C53C2414yes—
645C4⋊C4×C53C2414yes—
646C4⋊C4×C53C2414yes—
647C4⋊C4×C53C2414yes—
648C4⋊C4×C53C2414yes—
649C4⋊C4×C53C2412yes—
650C4⋊C4×C53C2414yes—
651C4⋊C4×C53C2414yes—
652C4⋊C4×C53C2414yes—
653C4⋊C4×C53C2412yes—
654C4⋊C4×C53C2414yes—
655C4⋊C4×C53C2414yes—
656C4⋊C4×C53C2412yes—
657C4⋊C4×C53C2414yes—
658C4⋊C4×C53C2414yes—
659C4⋊C4×C53C2414yes—
660C4⋊C4×C53C2412yes—
661C4⋊C4×C53C2414yes—
662C4⋊C4×C53C2414yes—
663C22⋊C4×C53C2414yes—
664C22⋊C4×C53C2414yes—
665C22⋊C4×C53C2414yes—
666C22⋊C4×C53C2414yes—
667C22⋊C4×C53C2414yes—
668C22⋊C4×C53C2414yes—
669C22⋊C4×C53C2414yes—
670C22⋊C4×C53C2414yes—
671C22⋊C4×C53C2414yes—
672C42×C53C2411yescharacteristic
673C42×C53C2412yes—
674C42×C53C2411yescharacteristic
675C42×C53C2414yes—
676C42×C53C2414yes—
677C42×C53C2414yes—
678C22⋊Dic53C2414yes—
679C22⋊Dic53C2414yes—
680C22⋊Dic53C2414yes—
681C22⋊Dic53C2414yes—
682C22⋊Dic53C2414yes—
683C22⋊Dic53C2414yes—
684C22⋊Dic53C2414yes—
685#11719921C2414yes—
686#11719921C2414yes—
687#11719921C2414yes—
688#11719921C2414yes—
689#11719921C2414yes—
690#11719921C2414yes—
691#11719921C2414yes—
692#11719921C2414yes—
693#11719921C2414yes—
694#11719921C2414yes—
695#11719921C2414yes—
696#11719921C2414yes—
697#11719921C2414yes—
698#11719921C2414yes—
699#11719921C2414yes—
700#11719921C2414yes—
701#11719921C2414yes—
702#11719921C2414yes—
703C4⋊Dic53C2414yes—
704C4⋊Dic53C2414yes—
705C4⋊Dic53C2414yes—
706C4⋊Dic53C2414yes—
707C4⋊Dic53C2412yes—
708C4⋊Dic53C2414yes—
709C4⋊Dic53C2412yes—
710C4⋊Dic53C2414yes—
711C4⋊Dic53C2414yes—
712C4⋊Dic53C2414yes—
713C4⋊Dic53C2414yes—
714C4⋊Dic53C2414yes—
715C4⋊Dic53C2414yes—
716C4⋊Dic53C2414yes—
717C4⋊Dic53C2412yes—
718C4⋊Dic53C2414yes—
719C4⋊Dic53C2412yes—
720#11719919C2414yes—
721#11719919C2414yes—
722#11719919C2414yes—
723#11719919C2414yes—
724#11719919C2414yes—
725#11719919C2414yes—
726#11719919C2414yes—
727#11719919C2414yes—
728#11719919C2414yes—
729#11719919C2414yes—
730#11719919C2414yes—
731#11719919C2414yes—
732#11719919C2414yes—
733#11719919C2414yes—
734#11719919C2414yes—
735#11719919C2414yes—
736#11719919C2414yes—
737#11719919C2414yes—
738#11719919C2414yes—
739#11719919C2414yes—
740#11719919C2414yes—
741#11719919C2414yes—
742#11719919C2414yes—
743#11719919C2414yes—
744#11719919C2414yes—
745#11719919C2414yes—
746#11719919C2414yes—
747#11719919C2414yes—
748#11719919C2414yes—
749#11719919C2414yes—
750#11719919C2414yes—
751#11719919C2414yes—
752#11719919C2414yes—
753#11719919C2414yes—
754C4×Dic53C2412yes—
755C4×Dic53C2411yescharacteristic
756C4×Dic53C2412yes—
757C4×Dic53C2412yes—
758C4×Dic53C2412yes—
759C4×Dic53C2412yes—
760C4×Dic53C2411yescharacteristic
761C4×Dic53C2414yes—
762C4×Dic53C2414yes—
763C4×Dic53C2414yes—
764C4×Dic53C2414yes—
765C4×Dic53C2414yes—
766C4×Dic53C2414yes—
767C4×Dic53C2414yes—
768C4×Dic53C2414yes—
769C4×Dic53C2414yes—
770C4×Dic53C2414yes—
771C4×Dic53C2414yes—
772C23×C53C2514yes—
773C23×C53C2511yescharacteristic
774C22×D53—22no—
775C22×D53—24no—
776C22×D53C2514yes—
777C22×D53C2512yes—
778Q8×C53—44no—
779Q8×C53—42no—
780D4×C53—28no—
781D4×C53—44no—
782D4×C53—42no—
783C2×C4×C53—22no—
784C2×C4×C53—44no—
785C2×C4×C53—42no—
786C2×C4×C53—44no—
787C2×C4×C53—44no—
788C2×C4×C53—44no—
789C2×C4×C53C2514yes—
790C2×C4×C53C2514yes—
791C2×C4×C53C2512yes—
792C2×C4×C53C2514yes—
793C2×C4×C53C2514yes—
794C2×C4×C53C2512yes—
795C2×C4×C53C2514yes—
796C2×C4×C53C2511yescharacteristic
797C2×C4×C53C2511yescharacteristic
798C22⋊D53—28no—
799C22⋊D53—28no—
800C22⋊D53—28no—
801C22⋊D53—28no—
802C22⋊D53—44no—
803C22⋊D53—44no—
804C22⋊D53—44no—
805C2×Dic53—28no—
806C2×Dic53—42no—
807C2×Dic53—44no—
808C2×Dic53—44no—
809C2×Dic53—44no—
810C2×Dic53—44no—
811C2×Dic532−1+414yes—
812C2×Dic53C2514yes—
813C2×Dic53C2514yes—
814C2×Dic53C2512yes—
815C2×Dic53C2514yes—
816C2×Dic53C2514yes—
817C2×Dic53C2514yes—
818C2×Dic53C2512yes—
819C2×Dic53C2512yes—
820D212—28no—
821D212—28no—
822D212—42no—
823D212—44no—
824C4×D53—24no—
825C4×D53—28no—
826C4×D53—28no—
827C4×D53—24no—
828C4×D53—24no—
829C4×D53—24no—
830C4×D53—28no—
831C4×D53—42no—
832C4×D53—44no—
833C4×D53—44no—
834C4×D53—42no—
835C4×D53—44no—
836C4×D53—44no—
837C4×D53—44no—
838C4×D53—44no—
839C4×D53—44no—
840C4×D53—44no—
841Dic106—28no—
842Dic106—44no—
843Dic106—44no—
844Dic106—44no—
845Dic106—44no—
846Dic106—42no—
847#62825—531nomaximal, Sylow
848C22×C53—22no—
849C22×C53—24no—
850C22×C53—24no—
851C22×C53—24no—
852C22×C53C2×2−1+412yes—
853C22×C53C2611yescharacteristic
854C2×D53—28no—
855C2×D53—22no—
856C2×D53—22no—
857C2×D53—24no—
858C2×D53—24no—
859C2×D53—24no—
860C2×D53#58514yes—
861C4×C53—24no—
862C4×C53—21no—
863C4×C53—21no—
864C4×C53—24no—
865C4×C53—24no—
866C4×C53—22no—
867C4×C53—24no—
868C4×C53—22no—
869C4×C53—24no—
870Dic53—24no—
871Dic53—24no—
872Dic53—24no—
873Dic53—22no—
874Dic53—24no—
875Dic53—24no—
876Dic53—22no—
877Dic53C2×2−1+414yes—
878#3563—532no—
879#3563—532no—
880#3563—534no—
881#3559—532no—
882#3559—532no—
883#3559—534no—
884#3553—534no—
885#3553—532no—
886#3553—531no—
887#3553D5311yescharacteristic, complemented
888#3515—534no—
889#3515—534no—
890#3515—534no—
891#3515—534no—
892#3512—534no—
893#3504—534no—
894#3492—534no—
895#3492—534no—
896#3492—534no—
897#3444—532no—
898C22×#125—531no—
899C2×C53—22no—
900C2×C53—44no—
901C2×C53C22×2−1+411yescharacteristic
902C2×C53C2×#58512yes—
903D53—24no—
904D53—44no—
905#564—534no—
906#564—531no—
907#564—532no—
908#564C2×D5311yescharacteristic, complemented
909#563—534no—
910#563—532no—
911#563—532no—
912#563—532no—
913#563—534no—
914#563C2×D5312yescomplemented
915#562—531no—
916#562—532no—
917#562—534no—
918#562C2×D5311yescharacteristic, complemented
919#557—534no—
920#557—534no—
921#557—534no—
922#557—534no—
923#554—534no—
924#554—534no—
925#554—534no—
926#554—534no—
927#554—534no—
928#554—534no—
929#554—534no—
930#554—534no—
931#554—534no—
932#554—534no—
933#554—534no—
934#554—534no—
935#554—534no—
936#554—534no—
937#554—534no—
938#554C2×D5314yes—
939#553—534no—
940#553—534no—
941#553—534no—
942#553—534no—
943#553—534no—
944#553—534no—
945#553—534no—
946#553—534no—
947#553—534no—
948#553—534no—
949#553—534no—
950#553—534no—
951#553—534no—
952#553—534no—
953#553—534no—
954#553C2×D5314yes—
955#552—534no—
956#552—534no—
957#552—534no—
958#552—534no—
959#552—534no—
960#552—534no—
961#552—534no—
962#552—534no—
963#552—534no—
964#552—534no—
965#552—534no—
966#552—534no—
967#552—534no—
968#552—534no—
969#552—534no—
970#552—534no—
971#552—534no—
972#552—534no—
973#552—534no—
974#552—534no—
975#552—534no—
976#552—534no—
977#552—534no—
978#552C2×D5314yescomplemented
979#547—534no—
980#547—534no—
981#547—534no—
982#547—534no—
983#547—534no—
984#547—534no—
985#547—534no—
986#547—534no—
987#547—534no—
988#547—534no—
989#547—534no—
990#547—534no—
991#544—534no—
992#544—534no—
993#544—534no—
994#544—534no—
995#544—534no—
996#544—534no—
997#544—534no—
998#541—534no—
999#541—534no—
1000#541—534no—
1001#541—534no—
1002#541—534no—
1003#541—534no—
1004#541—534no—
1005#541—534no—
1006#541—534no—
1007#541C2×D5314yescomplemented
1008#540—534no—
1009#540—534no—
1010#539—534no—
1011#539—534no—
1012#539—534no—
1013#539—534no—
1014#539—534no—
1015#539—534no—
1016#539—534no—
1017#539—534no—
1018#539—534no—
1019#539—534no—
1020#539—534no—
1021#539—534no—
1022#539—534no—
1023#539—534no—
1024#539—534no—
1025#539—534no—
1026#539—534no—
1027#539—534no—
1028#539C2×D5314yes—
1029#539C2×D5314yescomplemented
1030#537—534no—
1031#537—534no—
1032#537—534no—
1033#533—532no—
1034#533—532no—
1035#533—534no—
1036#533—532no—
1037#533—534no—
1038#532—532no—
1039#532—532no—
1040#532—532no—
1041#529—534no—
1042#529—534no—
1043#529—534no—
1044#529—532no—
1045#529—532no—
1046#529—534no—
1047#529—534no—
1048#529—534no—
1049#529—534no—
1050#529—534no—
1051#529—532no—
1052#529C2×D5312yes—
1053C2×#125—532no—
1054C2×#125—532no—
1055C2×#125—534no—
1056C2×#125—532no—
1057C2×#125—532no—
1058C2×#125—534no—
1059C2×#125—534no—
1060C2×#125—534no—
1061C2×#125—532no—
1062C2×#125—534no—
1063C2×#125—531no—
1064C2×#125C2×D5311yescharacteristic
1065#525—534no—
1066#525—532no—
1067#525—534no—
1068#525—532no—
1069#525—534no—
1070#525—534no—
1071#525—534no—
1072#525—534no—
1073#520—534no—
1074#520—534no—
1075#520—534no—
1076#520—534no—
1077#520—534no—
1078#520—534no—
1079C4×#41—532no—
1080C4×#41—534no—
1081C4×#41—532no—
1082C4×#41—534no—
1083C22×C4⋊C4—532no—
1084C22×C4⋊C4—534no—
1085C22×C42—531no—
1086C53#6282511yescharacteristic, complemented, Sylow
1087C2×#41—532no—
1088C2×#41—534no—
1089C2×#41—534no—
1090C2×#41—532no—
1091C2×#41—534no—
1092C2×#41—534no—
1093C2×#41—534no—
1094C2×#41—534no—
1095C23×C4—531no—
1096C23×C4—534no—
1097C23×C4—532no—
1098C4⋊Q8—532no—
1099C4⋊Q8—534no—
1100C4⋊Q8—534no—
1101C4⋊Q8—534no—
1102C4⋊Q8—534no—
1103C4⋊Q8—532no—
1104C4⋊Q8—532no—
1105C4⋊Q8—534no—
1106C4⋊Q8—534no—
1107C4⋊Q8—534no—
1108C4⋊Q8—534no—
1109C4⋊Q8—534no—
1110C4⋊Q8—534no—
1111C4⋊Q8—534no—
1112C4⋊Q8C22×D5314yes—
1113#127—532no—
1114#126—534no—
1115#126—534no—
1116#126—534no—
1117#126—534no—
1118#126—534no—
1119#126—534no—
1120#126—534no—
1121#126—534no—
1122#126—534no—
1123#126—534no—
1124#126—534no—
1125#126—534no—
1126#126—534no—
1127#126—534no—
1128#126—534no—
1129#126—534no—
1130#126—534no—
1131#126—534no—
1132#126—534no—
1133#126—534no—
1134#126—534no—
1135#126—534no—
1136#126—534no—
1137#126C22×D5314yes—
1138#126C22×D5314yes—
1139#126C22×D5314yes—
1140#126C22×D5314yes—
1141#126C22×D5314yes—
1142#125—534no—
1143#125—534no—
1144#125—532no—
1145#125—532no—
1146#125—532no—
1147#125—532no—
1148#125—534no—
1149#125—534no—
1150#125—534no—
1151#125—534no—
1152#125—534no—
1153#125—534no—
1154#125—534no—
1155#125—534no—
1156#125—534no—
1157#125—534no—
1158#125—534no—
1159#125—534no—
1160#125—534no—
1161#125—534no—
1162#125—534no—
1163#125—534no—
1164#125—534no—
1165#125—534no—
1166#125—534no—
1167#125—534no—
1168#125—534no—
1169#125—534no—
1170#125—534no—
1171#125—534no—
1172#125—534no—
1173#125—534no—
1174#125—534no—
1175#125—534no—
1176#125—534no—
1177#125—534no—
1178#125—534no—
1179#125—534no—
1180#125—534no—
1181#125—534no—
1182#125—534no—
1183#125—534no—
1184#125—534no—
1185#125—534no—
1186#125—534no—
1187#125—531no—
1188#125—531no—
1189#125—532no—
1190#125—534no—
1191#125—532no—
1192#125—534no—
1193#125—534no—
1194#125C22×D5314yes—
1195#125C22×D5312yes—
1196#125C22×D5311yescharacteristic
1197#125C22×D5311yescharacteristic
1198#125C22×D5314yes—
1199#125C22×D5312yes—
1200#125C22×D5314yes—
1201#125C22×D5314yes—
1202#125C22×D5314yes—
1203#125C22×D5314yes—
1204#124—534no—
1205#124—534no—
1206#124—532no—
1207#124C22×D5312yes—
1208#123—534no—
1209#123—534no—
1210#123—534no—
1211#123—534no—
1212#123—534no—
1213#123—534no—
1214#123—534no—
1215#123—534no—
1216#123—534no—
1217#123—534no—
1218#123—534no—
1219#123—534no—
1220#123—534no—
1221#123—534no—
1222#123—534no—
1223#123—534no—
1224#123—534no—
1225#123—534no—
1226#123—534no—
1227#123—534no—
1228#123—534no—
1229#123—534no—
1230#123—534no—
1231#123—534no—
1232#123—534no—
1233#123—534no—
1234#123—534no—
1235#123—534no—
1236#123—534no—
1237#123—534no—
1238#123—534no—
1239#123—534no—
1240#123—534no—
1241#123C22×D5314yes—
1242#123C22×D5314yes—
1243#123C22×D5314yes—
1244#123C22×D5314yes—
1245#123C22×D5314yes—
1246C22⋊Q8—532no—
1247C22⋊Q8—534no—
1248C22⋊Q8—534no—
1249C22⋊Q8—534no—
1250C22⋊Q8—534no—
1251C22⋊Q8—532no—
1252C22⋊Q8—534no—
1253C22⋊Q8—534no—
1254C22⋊Q8—534no—
1255C22⋊Q8—534no—
1256C22⋊Q8—534no—
1257C22⋊Q8—532no—
1258C22⋊Q8—534no—
1259C22⋊Q8—534no—
1260C22⋊Q8—534no—
1261C22⋊Q8—534no—
1262C22⋊Q8—534no—
1263C22⋊Q8—534no—
1264C22⋊Q8—534no—
1265C22⋊Q8—534no—
1266C22⋊Q8—534no—
1267C22⋊Q8—534no—
1268C22⋊Q8—534no—
1269C22⋊Q8—534no—
1270C22⋊Q8—534no—
1271C22⋊Q8—534no—
1272C22⋊Q8—534no—
1273C22⋊Q8—534no—
1274C22⋊Q8—534no—
1275C22⋊Q8—534no—
1276C22⋊Q8—534no—
1277C22⋊Q8—534no—
1278C22⋊Q8—534no—
1279C22⋊Q8—534no—
1280C22⋊Q8—534no—
1281C22⋊Q8—534no—
1282C22⋊Q8—534no—
1283C22⋊Q8—534no—
1284C22⋊Q8—534no—
1285C22⋊Q8—534no—
1286C22⋊Q8—534no—
1287C22⋊Q8—534no—
1288C22⋊Q8—534no—
1289C22⋊Q8—534no—
1290C22⋊Q8—534no—
1291C22⋊Q8C22×D5312yes—
1292C22⋊Q8C22×D5314yes—
1293C22⋊Q8C22×D5314yes—
1294C22⋊Q8C22×D5314yes—
1295C22⋊Q8C22×D5314yes—
1296C22⋊Q8C22×D5314yes—
1297C22⋊Q8C22×D5314yes—
1298#121—532no—
1299#121—534no—
1300#121—534no—
1301#121—534no—
1302#121—534no—
1303#121—534no—
1304#121—534no—
1305#121—534no—
1306#121—534no—
1307#121—534no—
1308#121—532no—
1309#121—534no—
1310#121—534no—
1311#121—532no—
1312#121—534no—
1313#121—534no—
1314#121—534no—
1315#121—534no—
1316#121—534no—
1317#121—534no—
1318#121—534no—
1319#121—534no—
1320#121—534no—
1321#121—534no—
1322#121—534no—
1323#121C22×D5312yes—
1324#121C22×D5314yes—
1325#121C22×D5314yes—
1326#120—534no—
1327#120—534no—
1328C4×Q8—532no—
1329C4×Q8—534no—
1330C4×Q8—534no—
1331C4×Q8—534no—
1332C4×Q8—532no—
1333C4×Q8—534no—
1334C4×Q8—534no—
1335C4×Q8—534no—
1336C4×Q8—534no—
1337C4×Q8—534no—
1338C4×Q8—534no—
1339C4×Q8—532no—
1340C4×Q8—534no—
1341C4×Q8—534no—
1342C4×Q8—534no—
1343C4×Q8—534no—
1344C4×Q8—534no—
1345C4×Q8—534no—
1346C4×Q8C22×D5312yes—
1347C4×Q8C22×D5314yes—
1348C4×D4—534no—
1349C4×D4—532no—
1350C4×D4—534no—
1351C4×D4—534no—
1352C4×D4—534no—
1353C4×D4—534no—
1354C4×D4—534no—
1355C4×D4—534no—
1356C4×D4—534no—
1357C4×D4—534no—
1358C4×D4—534no—
1359C4×D4—534no—
1360C4×D4—534no—
1361C4×D4—534no—
1362C4×D4—534no—
1363C4×D4—534no—
1364C4×D4—534no—
1365C4×D4—534no—
1366C4×D4—534no—
1367C4×D4—532no—
1368C4×D4—534no—
1369C4×D4—534no—
1370C4×D4—534no—
1371C4×D4—534no—
1372C4×D4—534no—
1373C4×D4—534no—
1374C4×D4—534no—
1375C4×D4—534no—
1376C4×D4—534no—
1377C4×D4—534no—
1378C4×D4—534no—
1379C4×D4—534no—
1380C4×D4—534no—
1381C4×D4—534no—
1382C4×D4—534no—
1383C4×D4—534no—
1384C4×D4—534no—
1385C4×D4—534no—
1386C4×D4—534no—
1387C4×D4—532no—
1388C4×D4—534no—
1389C4×D4—534no—
1390C4×D4—534no—
1391C4×D4C22×D5314yes—
1392C4×D4C22×D5312yes—
1393C4×D4C22×D5314yes—
1394C4×D4C22×D5314yes—
1395C4×D4C22×D5314yes—
1396#117—534no—
1397#117—532no—
1398#117—532no—
1399#117—534no—
1400#117—534no—
1401#117—534no—
1402#117—534no—
1403#117—534no—
1404#117—534no—
1405#117—534no—
1406#117—534no—
1407#117—534no—
1408#117—534no—
1409#117—534no—
1410#117—534no—
1411#117—534no—
1412#117—534no—
1413#117—534no—
1414#117—534no—
1415#117—534no—
1416#117—534no—
1417#117—534no—
1418#117—534no—
1419#117—534no—
1420#117C22×D5314yes—
1421#117C22×D5314yes—
1422C2×C4⋊C4—534no—
1423C2×C4⋊C4—532no—
1424C2×C4⋊C4—534no—
1425C2×C4⋊C4—534no—
1426C2×C4⋊C4—534no—
1427C2×C4⋊C4—534no—
1428C2×C4⋊C4—534no—
1429C2×C4⋊C4—534no—
1430C2×C4⋊C4—534no—
1431C2×C4⋊C4—534no—
1432C2×C4⋊C4—534no—
1433C2×C4⋊C4—534no—
1434C2×C4⋊C4—534no—
1435C2×C4⋊C4—534no—
1436C2×C4⋊C4—532no—
1437C2×C4⋊C4—534no—
1438C2×C4⋊C4—532no—
1439C2×C4⋊C4—534no—
1440C2×C4⋊C4—534no—
1441C2×C4⋊C4—534no—
1442C2×C4⋊C4—534no—
1443C2×C4⋊C4—532no—
1444C2×C4⋊C4—534no—
1445C2×C4⋊C4—532no—
1446C2×C4⋊C4—534no—
1447C2×C4⋊C4—534no—
1448C2×C4⋊C4—534no—
1449C2×C4⋊C4—534no—
1450C2×C4⋊C4—534no—
1451C2×C4⋊C4—534no—
1452C2×C4⋊C4C22×D5312yes—
1453C2×C4⋊C4C22×D5314yes—
1454C2×C4⋊C4C22×D5314yes—
1455C2×C42—534no—
1456C2×C42—532no—
1457C2×C42—531no—
1458C2×C42—534no—
1459C2×C42—532no—
1460C2×C42—532no—
1461C2×C42—532no—
1462C2×C42—532no—
1463C2×C42C22×D5311yescharacteristic
1464C24—531no—
1465#41—10616no—
1466#41—2128no—
1467#41—2128no—
1468#41—2128no—
1469#41—2124no—
1470#41—2128no—
1471#41—2124no—
1472#41—2128no—
1473C2×Q8—534no—
1474C2×Q8—534no—
1475C2×Q8—534no—
1476C2×Q8—534no—
1477C2×Q8—532no—
1478C2×Q8—534no—
1479C2×Q8C23×D5314yes—
1480C2×Q8C23×D5312yes—
1481C2×D4—534no—
1482C2×D4—534no—
1483C2×D4—534no—
1484C2×D4—534no—
1485C2×D4—534no—
1486C2×D4—534no—
1487C2×D4—534no—
1488C2×D4—534no—
1489C2×D4—534no—
1490C2×D4—534no—
1491C2×D4—532no—
1492C2×D4C23×D5314yes—
1493C2×D4C23×D5314yes—
1494C2×D4C23×D5312yes—
1495C22×C4—531no—
1496C22×C4—534no—
1497C22×C4—532no—
1498C22×C4—534no—
1499C22×C4—534no—
1500C22×C4—534no—
1501C22×C4—534no—
1502C22×C4—532no—
1503C22×C4—532no—
1504C22×C4—532no—
1505C22×C4—532no—
1506C22×C4—534no—
1507C22×C4—534no—
1508C22×C4—534no—
1509C22×C4—532no—
1510C22×C4—532no—
1511C22×C4—534no—
1512C22×C4—534no—
1513C22×C4—534no—
1514C22×C4—534no—
1515C22×C4—534no—
1516C22×C4—534no—
1517C22×C4—534no—
1518C22×C4—534no—
1519C22×C4—1064no—
1520C22×C4—2128no—
1521C22×C4—2124no—
1522C22×C4C23×D5311yescharacteristic
1523C22×C4C23×D5312yes—
1524C22×C4C23×D5314yes—
1525C22×C4C23×D5314yes—
1526C22×C4C23×D5314yes—
1527C22×C4C23×D5314yes—
1528C4⋊C4—534no—
1529C4⋊C4—534no—
1530C4⋊C4—534no—
1531C4⋊C4—534no—
1532C4⋊C4—534no—
1533C4⋊C4—534no—
1534C4⋊C4—534no—
1535C4⋊C4—534no—
1536C4⋊C4—534no—
1537C4⋊C4—534no—
1538C4⋊C4—534no—
1539C4⋊C4—534no—
1540C4⋊C4—534no—
1541C4⋊C4—534no—
1542C4⋊C4—534no—
1543C4⋊C4—534no—
1544C4⋊C4—532no—
1545C4⋊C4—534no—
1546C4⋊C4—532no—
1547C4⋊C4—534no—
1548C4⋊C4—534no—
1549C4⋊C4—534no—
1550C4⋊C4—534no—
1551C4⋊C4—534no—
1552C4⋊C4—534no—
1553C4⋊C4—534no—
1554C4⋊C4—534no—
1555C4⋊C4—534no—
1556C4⋊C4—534no—
1557C4⋊C4—534no—
1558C4⋊C4—534no—
1559C4⋊C4—534no—
1560C4⋊C4—534no—
1561C4⋊C4—534no—
1562C4⋊C4—534no—
1563C4⋊C4—534no—
1564C4⋊C4—534no—
1565C4⋊C4—534no—
1566C4⋊C4—534no—
1567C4⋊C4—534no—
1568C4⋊C4—534no—
1569C4⋊C4—534no—
1570C4⋊C4—534no—
1571C4⋊C4—532no—
1572C4⋊C4—534no—
1573C4⋊C4—532no—
1574C4⋊C4—534no—
1575C4⋊C4—534no—
1576C4⋊C4—534no—
1577C4⋊C4—534no—
1578C4⋊C4—534no—
1579C4⋊C4C23×D5314yes—
1580C4⋊C4C23×D5314yes—
1581C4⋊C4C23×D5314yes—
1582C4⋊C4C23×D5314yes—
1583C4⋊C4C23×D5312yes—
1584C4⋊C4C23×D5314yes—
1585C4⋊C4C23×D5312yes—
1586C4⋊C4C23×D5314yes—
1587C4⋊C4C23×D5314yes—
1588C4⋊C4C23×D5314yes—
1589C4⋊C4C23×D5314yes—
1590C4⋊C4C23×D5314yes—
1591C4⋊C4C23×D5314yes—
1592C4⋊C4C23×D5314yes—
1593C4⋊C4C23×D5312yes—
1594C4⋊C4C23×D5314yes—
1595C4⋊C4C23×D5312yes—
1596C4⋊C4C23×D5314yes—
1597C4⋊C4C23×D5314yes—
1598C22⋊C4—534no—
1599C22⋊C4—534no—
1600C22⋊C4—534no—
1601C22⋊C4—534no—
1602C22⋊C4—534no—
1603C22⋊C4—534no—
1604C22⋊C4—534no—
1605C22⋊C4—534no—
1606C22⋊C4—534no—
1607C22⋊C4—534no—
1608C22⋊C4—534no—
1609C22⋊C4—534no—
1610C22⋊C4—534no—
1611C22⋊C4—534no—
1612C22⋊C4—534no—
1613C22⋊C4—534no—
1614C22⋊C4—534no—
1615C22⋊C4—534no—
1616C22⋊C4—534no—
1617C22⋊C4—534no—
1618C22⋊C4—534no—
1619C22⋊C4—534no—
1620C22⋊C4—534no—
1621C22⋊C4—534no—
1622C22⋊C4—534no—
1623C22⋊C4C23×D5314yes—
1624C22⋊C4C23×D5314yes—
1625C22⋊C4C23×D5314yes—
1626C22⋊C4C23×D5314yes—
1627C22⋊C4C23×D5314yes—
1628C22⋊C4C23×D5314yes—
1629C22⋊C4C23×D5314yes—
1630C22⋊C4C23×D5314yes—
1631C22⋊C4C23×D5314yes—
1632C42—532no—
1633C42—531no—
1634C42—532no—
1635C42—532no—
1636C42—532no—
1637C42—532no—
1638C42—531no—
1639C42—534no—
1640C42—534no—
1641C42—534no—
1642C42—534no—
1643C42—534no—
1644C42—534no—
1645C42—534no—
1646C42—534no—
1647C42—534no—
1648C42—534no—
1649C42—534no—
1650C42C23×D5311yescharacteristic
1651C42C23×D5312yes—
1652C42C23×D5311yescharacteristic
1653C42C23×D5314yes—
1654C42C23×D5314yes—
1655C42C23×D5314yes—
1656C23—532no—
1657C23—534no—
1658C23—1064no—
1659C23—1062no—
1660C23C24×D5314yes—
1661C23C24×D5311yescharacteristic
1662Q8—44no—
1663Q8—42no—
1664Q8—1068no—
1665Q8—2124no—
1666Q8—2124no—
1667Q8—2124no—
1668Q8—2122no—
1669Q8—2124no—
1670D4—28no—
1671D4—44no—
1672D4—42no—
1673D4—1068no—
1674D4—1068no—
1675D4—1068no—
1676D4—1068no—
1677D4—1068no—
1678D4—1068no—
1679D4—2124no—
1680D4—2122no—
1681D4—2124no—
1682D4—2124no—
1683D4—2124no—
1684C2×C4—22no—
1685C2×C4—42no—
1686C2×C4—44no—
1687C2×C4—44no—
1688C2×C4—44no—
1689C2×C4—44no—
1690C2×C4—534no—
1691C2×C4—532no—
1692C2×C4—532no—
1693C2×C4—534no—
1694C2×C4—534no—
1695C2×C4—534no—
1696C2×C4—532no—
1697C2×C4—534no—
1698C2×C4—534no—
1699C2×C4—1064no—
1700C2×C4—1064no—
1701C2×C4—1068no—
1702C2×C4—1064no—
1703C2×C4—1068no—
1704C2×C4—1068no—
1705C2×C4—1064no—
1706C2×C4—1068no—
1707C2×C4—2122no—
1708C2×C4—2124no—
1709C2×C4—2124no—
1710C2×C4—2122no—
1711C2×C4—2124no—
1712C2×C4—2124no—
1713C2×C4—2124no—
1714C2×C4—2124no—
1715C2×C4—2124no—
1716C2×C4—2124no—
1717C2×C4—2122no—
1718C2×C4—2124no—
1719C2×C4—2124no—
1720C2×C4—2124no—
1721C2×C4—2124no—
1722C2×C4C24×D5312yes—
1723C2×C4C24×D5314yes—
1724C2×C4C24×D5314yes—
1725C2×C4C24×D5311yescharacteristic
1726C2×C4C24×D5311yescharacteristic
1727C2×C4C24×D5314yes—
1728C2×C4C24×D5312yes—
1729C2×C4C24×D5314yes—
1730C2×C4C24×D5314yes—
1731C22—22no—
1732C22—24no—
1733C22—24no—
1734C22—24no—
1735C22—534no—
1736C22—1068no—
1737C22—1062no—
1738C22—1062no—
1739C22—1064no—
1740C22—1064no—
1741C22—1064no—
1742C222−1+4×D5312yes—
1743C22C25×D5311yescharacteristic
1744C4—21no—
1745C4—21no—
1746C4—24no—
1747C4—22no—
1748C4—24no—
1749C4—24no—
1750C4—24no—
1751C4—22no—
1752C4—24no—
1753C4—534no—
1754C4—1064no—
1755C4—1062no—
1756C4—1064no—
1757C4—1064no—
1758C4—1062no—
1759C4—1064no—
1760C4—1064no—
1761C2—22no—
1762C2—44no—
1763C2—1064no—
1764C2—2124no—
1765C2C2×2−1+4×D5311yescharacteristic
1766C2#585×D5312yes—
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3553C2
hypercenter#3553D53
hypocenterC53#62825
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3553

Complements

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

NH ≅ G/Ntype
1. #20289324C2semidirect
2. #20289315C2semidirect
3. #20289313C2semidirect
4. #20289252C2semidirect
5. #20289243C2semidirect
6. #20289241C2semidirect
7. #20289171C2semidirect
8. #20289168C2semidirect
9. #20289165C2semidirect
10. #20288691C2semidirect
11. #20288689C2semidirect
12. #20288685C2semidirect
13. #20288682C2semidirect
14. #20288631C2semidirect
15. #20288535C2semidirect
16. #20288423C2semidirect
17. #20288420C2semidirect
18. #20288419C2semidirect
19. #20288009C2semidirect
20. C2×#125×D53C2semidirect
21. C53×#3553C2semidirect
22. C53⋊#564C22semidirect
23. C53⋊#564C22semidirect
24. C53⋊#564C22semidirect
25. #16811377C22semidirect
26. #16811377C22semidirect
27. #16811375C22semidirect
28. #16811374C22semidirect
29. #16811373C22semidirect
30. #16811371C22semidirect
31. #16811370C22semidirect
32. #16811367C22semidirect
33. #16811351C22semidirect
34. #16811350C22semidirect
35. #16811350C22semidirect
36. #16811348C22semidirect
40. #16811331C22semidirect
45. #16811328C22semidirect
50. #16811327C22semidirect
51. #16811327C22semidirect
55. #16811324C22semidirect
58. #16811322C22semidirect
63. #16811318C22semidirect
66. #16811316C22semidirect
67. #16811315C22semidirect
70. #16811312C22semidirect
72. #16811311C22semidirect
73. #16811310C22semidirect
74. #16811310C22semidirect
79. #16811309C22semidirect
80. #16811309C22semidirect
82. #16811306C22semidirect
83. #16811306C22semidirect
88. #16811305C22semidirect
89. #16811305C22semidirect
103. #16811253C22semidirect
105. #16811252C22semidirect
106. #16811252C22semidirect
108. #16811250C22semidirect
109. #16811236C22semidirect
110. #16811233C22semidirect
111. #16811232C22semidirect
112. #16811232C22semidirect
113. #16811232C22semidirect
114. #16811231C22semidirect
115. #16811230C22semidirect
116. #16811230C22semidirect
117. #16811230C22semidirect
118. #16811225C22semidirect
119. #16811223C22semidirect
120. #16811222C22semidirect
123. #16811221C22semidirect
129. #16811217C22semidirect
132. #16811216C22semidirect
133. #16811215C22semidirect
136. #16811214C22semidirect
137. #16811214C22semidirect
143. #16811177C22semidirect
145. #16811175C22semidirect
153. #16811156C22semidirect
154. #16811153C22semidirect
157. #16811151C22semidirect
159. #16811150C22semidirect
163. C2×#13133207C22semidirect
170. #125×D53C22semidirect
192. C53×#564C22semidirect
193. C53×#563C22semidirect
194. C53×#562C22semidirect
197. C53×#552C22semidirect
198. C53×#541C22semidirect
200. C53×#539C22semidirect
887. #3553D53semidirect
908. #564C2×D53semidirect
914. #563C2×D53semidirect
918. #562C2×D53semidirect
978. #552C2×D53semidirect
1007. #541C2×D53semidirect
1029. #539C2×D53semidirect
1086. C53#62825semidirect

Maximal subgroups

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

subgroupindex
#202893242
#202893152
#202893132
#202892522
#202892432
#202892412
#202891712
#202891682
#202891652
#202886912
#202886892
#202886852
#202886822
#202886312
#202885352
#202884232
#202884202
#202884192
#202880092
C2×#125×D532
C53×#35532
#6282553