Finite Group Databasebeta

← #28292792

Subgroups — #28292792

Order 13568.

6538 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289342C214yesmaximal, complemented
2#20289332C214yesmaximal, complemented
3#20289324C212yesmaximal, complemented
4#20289315C212yesmaximal, complemented
5#20289283C212yesmaximal, complemented
6#20289277C212yesmaximal, complemented
7#20289171C211yesmaximal, characteristic, complemented
8#20289168C212yesmaximal, complemented
9#20289148C214yesmaximal, complemented
10#20288807C214yesmaximal, complemented
11#20288756C214yesmaximal, complemented
12#20288705C214yesmaximal, complemented
13#20288699C214yesmaximal, complemented
14#20288548C214yesmaximal, complemented
15#20288514C214yesmaximal, complemented
16#20288466C214yesmaximal, complemented
17#20288458C214yesmaximal, complemented
18#20288409C214yesmaximal, complemented
19C2×#16811179C211yesmaximal, characteristic, complemented
20#529×D53C212yesmaximal, complemented
21C53×#3553C211yesmaximal, characteristic, complemented
22C53⋊#564C2211yescharacteristic, complemented
23C53⋊#564C2212yescomplemented
24#16811377C2212yescomplemented
25#16811377C2212yescomplemented
26#16811377C2214yescomplemented
27#16811376C2214yescomplemented
28#16811375C2214yescomplemented
29#16811374C2214yescomplemented
30#16811373C2212yescomplemented
31#16811371C2211yescharacteristic, complemented
32#16811367C2212yescomplemented
33#16811350C2214yescomplemented
34#16811350C2214yescomplemented
35#16811348C2214yescomplemented
36#16811345C2214yescomplemented
37#16811344C2214yescomplemented
38#16811344C2214yescomplemented
39#16811343C2214yescomplemented
40#16811340C2214yescomplemented
41#16811340C2214yescomplemented
42#16811340C2214yescomplemented
43#16811333C2214yescomplemented
44#16811332C2214yescomplemented
45#16811332C2214yescomplemented
46#16811329C2214yescomplemented
47#16811329C2214yescomplemented
48#16811328C2214yescomplemented
49#16811328C2214yescomplemented
50#16811327C2214yescomplemented
51#16811327C2214yescomplemented
52#16811327C2214yescomplemented
53#16811327C2214yescomplemented
54#16811322C2214yescomplemented
55#16811322C2214yescomplemented
56#16811321C2214yescomplemented
57#16811316C2214yescomplemented
58#16811316C2214yescomplemented
59#16811312C2214yescomplemented
60#16811312C2214yescomplemented
61#16811311C2214yescomplemented
62#16811311C2214yescomplemented
63#16811310C2214yescomplemented
64#16811310C2214yescomplemented
65#16811309C2214yescomplemented
66#16811309C2214yescomplemented
67#16811309C2214yescomplemented
68#16811308C2214yescomplemented
69#16811307C2214yescomplemented
70#16811307C2214yescomplemented
71#16811306C2214yescomplemented
72#16811305C2214yescomplemented
73#16811305C2214yescomplemented
74#16811305C2214yescomplemented
75#16811305C2214yescomplemented
76#16811305C2214yescomplemented
77#16811305C2214yescomplemented
78#16811302C2214yescomplemented
79#16811301C2214yescomplemented
80#16811301C2214yescomplemented
81#16811301C2214yescomplemented
82#16811300C2214yescomplemented
83#16811300C2214yescomplemented
84#16811298C2214yescomplemented
85#16811298C2214yescomplemented
86#16811298C2214yescomplemented
87#16811297C2214yescomplemented
88#16811296C2214yescomplemented
89#16811296C2214yescomplemented
90D4×Dic106C2214yescomplemented
91#16811288C2214yescomplemented
92#16811286C2214yescomplemented
93#16811286C2214yescomplemented
94#16811286C2214yescomplemented
95#16811283C2214yescomplemented
96#16811282C2214yescomplemented
97#16811279C2214yescomplemented
98#16811279C2214yescomplemented
99#16811271C2214yescomplemented
100#16811265C2214yescomplemented
101#16811262C2214yescomplemented
102#16811253C2214yescomplemented
103#16811253C2214yescomplemented
104#16811252C2214yescomplemented
105#16811250C2214yescomplemented
106#16811248C2214yes—
107#16811248C2214yescomplemented
108#16811248C2214yescomplemented
109#16811247C2214yescomplemented
110#16811243C2214yescomplemented
111#16811243C2214yescomplemented
112#16811241C2214yescomplemented
113#16811241C2214yescomplemented
114#16811241C2214yescomplemented
115#16811240C2214yescomplemented
116#16811239C2214yescomplemented
117#16811236C2214yescomplemented
118#16811233C2214yescomplemented
119#16811232C2214yescomplemented
120#16811232C2214yescomplemented
121#16811232C2214yescomplemented
122#16811232C2214yescomplemented
123#16811231C2214yescomplemented
124#16811230C2214yescomplemented
125#16811230C2214yescomplemented
126#16811230C2214yescomplemented
127#16811230C2214yescomplemented
128#16811221C2214yes—
129#16811221C2214yescomplemented
130#16811220C2214yescomplemented
131#16811217C2214yescomplemented
132#16811217C2214yescomplemented
133#16811216C2214yes—
134#16811215C2214yescomplemented
135#16811214C2214yescomplemented
136#16811212C2214yes—
137#16811205C2214yes—
138#16811196C2214yescomplemented
139#16811195C2214yescomplemented
140#16811181C2214yes—
141#16811179C2214yescomplemented
142#16811179C2212yescomplemented
143#16811179C2214yescomplemented
144#16811179C2212yescomplemented
145#16811179C2214yescomplemented
146#16811179C2212yescomplemented
147#16811179C2212yescomplemented
148#16811177C2214yescomplemented
149C2×#13133216C2212yescomplemented
150#16811160C2212yes—
151#16811159C2214yescomplemented
152#16811159C2212yescomplemented
153#16811158C2212yes—
154#16811157C2212yescomplemented
155#16811156C2214yes—
156#16811156C2214yes—
157#16811155C2212yes—
158#16811154C2214yescomplemented
159#16811154C2212yescomplemented
160#16811153C2214yescomplemented
161#16811153C2214yescomplemented
162#16811153C2214yescomplemented
163#16811152C2212yes—
164#16811151C2214yes—
165#16811151C2214yes—
166#16811150C2214yescomplemented
167#126×D53C2214yescomplemented
168C2×#13133209C2211yescharacteristic, complemented
169#125×D53C2212yescomplemented
170#124×D53C2212yescomplemented
171#16811132C2214yes—
172#16811131C2214yes—
173#123×D53C2214yes—
174C2×#13133195C2214yes—
175C2×#13133195C2214yescomplemented
176C22⋊Q8×D53C2212yes—
177C22⋊Q8×D53C2214yescomplemented
178#121×D53C2212yes—
179#16811104C2214yescomplemented
180#16811102C2214yescomplemented
181#16811100C2214yescomplemented
182#16811099C2214yescomplemented
183#16811095C2214yes—
184#16811095C2214yes—
185C2×#13133182C2214yescomplemented
186C4×Q8×D53C2212yescomplemented
187C4×D4×D53C2214yes—
188C4×D4×D53C2212yescomplemented
189C2×#13133175C2212yes—
190#117×D53C2214yescomplemented
191C2×C42×D53C2211yescharacteristic
192C53×#564C2211yescharacteristic, complemented
193C53×#563C2212yescomplemented
194C53×#562C2211yescharacteristic, complemented
195C53×#554C2214yescomplemented
196C53×#553C2214yescomplemented
197C53×#552C2214yescomplemented
198C53×#541C2214yescomplemented
199C53×#539C2214yescomplemented
200C53×#539C2214yescomplemented
201C53×#529C2212yescomplemented
202C2×#125×C53C2211yescharacteristic, complemented
203C2×#11719945C2314yes—
204C2×#11719947C2314yes—
205C22×Dic106C2314yes—
206C22×Dic106C2314yes—
207C2×Q8×D53C2314yes—
208C2×Q8×D53C2312yes—
209C2×D4×D53C2314yes—
210C2×D4×D53C2312yes—
211C22×C4×D53C2311yescharacteristic
212C22×C4×D53C2312yes—
213C22×C4×D53C2314yes—
214#13133217C2314yes—
215#13133216C2314yes—
216#13133216C2314yes—
217#13133216C2314yes—
218#13133216C2314yes—
219#13133216C2314yes—
220#13133216C2314yes—
221#13133216C2314yes—
222#13133216C2314yes—
223#13133216C2314yes—
224#13133216C2312yes—
225#13133216C2312yes—
226#13133216C2312yes—
227#13133216C2312yes—
228#13133215C2314yes—
229#13133215C2314yes—
230#13133215C2314yes—
231#13133212C2314yes—
232#13133212C2314yes—
233#13133212C2314yes—
234#13133212C2314yes—
235#13133212C2314yes—
236#13133212C2314yes—
237#13133212C2314yes—
238#13133212C2314yes—
239#13133212C2314yes—
240#13133212C2314yes—
241#13133212C2314yes—
242#13133212C2314yes—
243#13133212C2314yes—
244#13133212C2314yes—
245#13133212C2314yes—
246#13133211C2314yes—
247#13133211C2314yes—
248#13133211C2314yes—
249#13133210C2314yes—
250#13133210C2314yes—
251#13133210C2314yes—
252#13133210C2314yes—
253#13133210C2314yes—
254#13133210C2314yes—
255#13133210C2314yes—
256#13133210C2314yes—
257#13133210C2314yes—
258#13133210C2314yes—
259#13133210C2314yes—
260#13133210C2314yes—
261#13133210C2314yes—
262#13133209C2311yescharacteristic
263#13133209C2311yescharacteristic
264#13133209C2314yes—
265#13133209C2314yes—
266#13133209C2312yes—
267#13133209C2312yes—
268#13133209C2314yes—
269#13133208C2314yes—
270#13133208C2314yes—
271#13133208C2314yes—
272#13133208C2314yes—
273#13133208C2314yes—
274#13133208C2314yes—
275#13133208C2314yes—
276#13133208C2312yes—
277#13133208C2312yes—
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#13133206C2314yes—
297#13133206C2312yes—
298#13133205C2314yes—
299#13133205C2312yes—
300#13133204C2314yes—
301#13133204C2314yes—
302#13133204C2312yes—
303#13133203C2314yes—
304#13133203C2314yes—
305#13133203C2314yes—
306#13133203C2314yes—
307#13133203C2314yes—
308#13133203C2314yes—
309#13133203C2314yes—
310#13133203C2314yes—
311#13133202C2314yes—
312#13133202C2314yes—
313#13133202C2314yes—
314#13133202C2314yes—
315#13133202C2314yes—
316#13133202C2314yes—
317#13133202C2314yes—
318#13133202C2314yes—
319#13133202C2314yes—
320#13133202C2314yes—
321#13133201C2314yes—
322#13133201C2314yes—
323#13133201C2314yes—
324#13133200C2314yes—
325#13133200C2314yes—
326#13133200C2314yes—
327#13133199C2314yes—
328#13133199C2314yes—
329#13133199C2314yes—
330#13133199C2314yes—
331#13133199C2314yes—
332#13133199C2314yes—
333#13133199C2314yes—
334#13133199C2314yes—
335#13133198C2314yes—
336#13133198C2314yes—
337#13133198C2314yes—
338#13133197C2314yes—
339#13133197C2314yes—
340#13133197C2314yes—
341#13133197C2314yes—
342#13133197C2314yes—
343#13133197C2314yes—
344#13133197C2314yes—
345#13133197C2312yes—
346#13133196C2314yes—
347#13133196C2314yes—
348#13133196C2314yes—
349#13133196C2314yes—
350#13133196C2312yes—
351#13133196C2314yes—
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#13133195C2314yes—
368#13133195C2314yes—
369#13133195C2314yes—
370#13133195C2314yes—
371#13133195C2314yes—
372#13133195C2314yes—
373#13133195C2314yes—
374#13133195C2314yes—
375#13133195C2314yes—
376#13133195C2314yes—
377#13133194C2314yes—
378#13133194C2314yes—
379#13133194C2314yes—
380#13133194C2314yes—
381#13133194C2314yes—
382#13133194C2314yes—
383#13133194C2314yes—
384#13133194C2314yes—
385#13133194C2314yes—
386#13133194C2314yes—
387#13133194C2314yes—
388#13133194C2314yes—
389#13133194C2314yes—
390#13133193C2314yes—
391#13133193C2314yes—
392#13133193C2314yes—
393#13133193C2314yes—
394#13133193C2312yes—
395#13133192C2314yes—
396#13133192C2312yes—
397#13133191C2314yes—
398#13133191C2312yes—
399#13133190C2314yes—
400#13133190C2314yes—
401#13133190C2314yes—
402#13133189C2314yes—
403#13133189C2314yes—
404#13133189C2314yes—
405#13133189C2314yes—
406#13133189C2314yes—
407#13133188C2312yes—
408#13133187C2314yes—
409#13133187C2314yes—
410#13133185C2314yes—
411#13133185C2314yes—
412Q8×Dic53C2314yes—
413Q8×Dic53C2312yes—
414C4×Dic106C2314yes—
415C4×Dic106C2314yes—
416C4×Dic106C2314yes—
417C4×Dic106C2314yes—
418C4×Dic106C2314yes—
419C4×Dic106C2314yes—
420C4×Dic106C2314yes—
421C4×Dic106C2312yes—
422#13133182C2314yes—
423#13133182C2314yes—
424#13133182C2314yes—
425#13133182C2314yes—
426#13133182C2314yes—
427#13133182C2314yes—
428#13133182C2314yes—
429#13133182C2314yes—
430#13133182C2314yes—
431#13133182C2314yes—
432#13133182C2314yes—
433#13133182C2312yes—
434#13133182C2314yes—
435#13133182C2314yes—
436#13133182C2314yes—
437#13133182C2314yes—
438C4×D212C2314yes—
439C4×D212C2314yes—
440C4×D212C2314yes—
441C4×D212C2312yes—
442D4×Dic53C2312yes—
443D4×Dic53C2314yes—
444D4×Dic53C2314yes—
445D4×Dic53C2314yes—
446D4×Dic53C2314yes—
447#13133179C2314yes—
448#13133179C2312yes—
449#13133179C2314yes—
450#13133179C2314yes—
451#13133179C2314yes—
452#13133179C2314yes—
453C4×C22⋊D53C2314yes—
454C4×C22⋊D53C2314yes—
455C4×C22⋊D53C2314yes—
456C4×C22⋊D53C2314yes—
457C4×C22⋊D53C2314yes—
458C4×C22⋊D53C2314yes—
459C4×C22⋊D53C2314yes—
460C4×C22⋊D53C2314yes—
461C4×C22⋊D53C2314yes—
462C4×C22⋊D53C2314yes—
463C4×C22⋊D53C2314yes—
464#13133177C2314yes—
465#13133177C2314yes—
466#13133177C2314yes—
467#13133177C2314yes—
468#13133177C2314yes—
469#13133177C2314yes—
470#13133177C2314yes—
471#13133177C2314yes—
472#13133177C2314yes—
473#13133176C2314yes—
474#13133176C2314yes—
475#13133176C2314yes—
476#13133175C2312yes—
477#13133175C2314yes—
478#13133175C2312yes—
479#13133175C2314yes—
480#13133175C2312yes—
481#13133175C2314yes—
482#13133175C2312yes—
483#13133175C2314yes—
484#13133175C2314yes—
485#13133175C2314yes—
486#13133175C2314yes—
487#13133175C2314yes—
488#13133175C2314yes—
489#13133174C2314yes—
490#13133174C2314yes—
491#13133174C2314yes—
492#13133174C2314yes—
493#13133174C2314yes—
494#13133174C2314yes—
495#13133174C2314yes—
496#13133174C2314yes—
497#13133173C2314yes—
498#13133173C2314yes—
499#13133173C2314yes—
500#13133173C2314yes—
501#13133173C2314yes—
502#13133173C2314yes—
503C2×C4⋊Dic53C2312yes—
504C2×#11719919C2314yes—
505C2×#11719919C2314yes—
506C2×#11719919C2314yes—
507C2×#11719919C2314yes—
508C4⋊C4×D53C2314yes—
509C4⋊C4×D53C2312yes—
510C4⋊C4×D53C2314yes—
511C4⋊C4×D53C2314yes—
512C4⋊C4×D53C2314yes—
513C4⋊C4×D53C2314yes—
514C4⋊C4×D53C2312yes—
515C4⋊C4×D53C2314yes—
516C4⋊C4×D53C2314yes—
517C2×#11719921C2314yes—
518C2×#11719921C2314yes—
519C2×#11719921C2314yes—
520C22⋊C4×D53C2314yes—
521C22⋊C4×D53C2314yes—
522C22⋊C4×D53C2314yes—
523C22⋊C4×D53C2314yes—
524C22⋊C4×D53C2314yes—
525C22⋊C4×D53C2314yes—
526C22⋊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×C53C2312yes—
542#125×C53C2314yes—
543#125×C53C2314yes—
544#125×C53C2314yes—
545#125×C53C2314yes—
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×C53C2314yes—
566#121×C53C2312yes—
567C4×Q8×C53C2312yes—
568C4×Q8×C53C2314yes—
569C4×D4×C53C2314yes—
570C4×D4×C53C2314yes—
571C4×D4×C53C2314yes—
572C4×D4×C53C2312yes—
573C4×D4×C53C2314yes—
574#117×C53C2314yes—
575#117×C53C2314yes—
576C2×C4⋊C4×C53C2312yes—
577C2×C4⋊C4×C53C2314yes—
578C2×C4⋊C4×C53C2314yes—
579C2×C42×C53C2311yescharacteristic
580C23×D53C2414yes—
581C23×D53C2411yescharacteristic
582C2×Q8×C53C2414yes—
583C2×Q8×C53C2412yes—
584C2×D4×C53C2414yes—
585C2×D4×C53C2414yes—
586C2×D4×C53C2412yes—
587C22×C4×C53C2411yescharacteristic
588C22×C4×C53C2412yes—
589C22×C4×C53C2414yes—
590C22×C4×C53C2414yes—
591C22×C4×C53C2414yes—
592C22×C4×C53C2414yes—
593C2×C22⋊D53C2414yes—
594C2×C22⋊D53C2414yes—
595C2×C22⋊D53C2414yes—
596C2×C22⋊D53C2414yes—
597C2×C22⋊D53C2414yes—
598C22×Dic53C2411yescharacteristic
599C22×Dic53C2412yes—
600C22×Dic53C2414yes—
601C22×Dic53C2414yes—
602C22×Dic53C2414yes—
603C22×Dic53C2414yes—
604Q8×D53—48no—
605Q8×D53—44no—
606#11719947—48no—
607D4×D53—216no—
608D4×D53—44no—
609#11719945—48no—
610C2×D212C2414yes—
611C2×D212C2414yes—
612C2×D212C2412yes—
613C2×C4×D53—24no—
614C2×C4×D53—48no—
615C2×C4×D53—44no—
616C2×C4×D53C2412yes—
617C2×C4×D53C2412yes—
618C2×C4×D53C2412yes—
619C2×C4×D53C2412yes—
620C2×C4×D53C2414yes—
621C2×C4×D53C2414yes—
622C2×C4×D53C2412yes—
623C2×C4×D53C2412yes—
624C2×C4×D53C2414yes—
625C2×C4×D53C2414yes—
626C2×C4×D53C2414yes—
627C2×C4×D53C2414yes—
628C2×C4×D53C2414yes—
629C2×C4×D53C2414yes—
630C2×C4×D53C2414yes—
631C2×Dic106—48no—
632C2×Dic106—48no—
633C2×Dic106C2414yes—
634C2×Dic106C2414yes—
635C2×Dic106C2414yes—
636C2×Dic106C2414yes—
637C2×Dic106C2414yes—
638C2×Dic106C2414yes—
639C2×Dic106C2414yes—
640C2×Dic106C2412yes—
641C2×Dic106C2414yes—
642C4⋊C4×C53C2414yes—
643C4⋊C4×C53C2414yes—
644C4⋊C4×C53C2414yes—
645C4⋊C4×C53C2414yes—
646C4⋊C4×C53C2414yes—
647C4⋊C4×C53C2412yes—
648C4⋊C4×C53C2414yes—
649C4⋊C4×C53C2414yes—
650C4⋊C4×C53C2414yes—
651C4⋊C4×C53C2412yes—
652C4⋊C4×C53C2414yes—
653C4⋊C4×C53C2414yes—
654C4⋊C4×C53C2412yes—
655C4⋊C4×C53C2414yes—
656C4⋊C4×C53C2414yes—
657C4⋊C4×C53C2414yes—
658C4⋊C4×C53C2412yes—
659C4⋊C4×C53C2414yes—
660C4⋊C4×C53C2414yes—
661C22⋊C4×C53C2414yes—
662C22⋊C4×C53C2414yes—
663C22⋊C4×C53C2414yes—
664C22⋊C4×C53C2414yes—
665C22⋊C4×C53C2414yes—
666C22⋊C4×C53C2414yes—
667C22⋊C4×C53C2414yes—
668C22⋊C4×C53C2414yes—
669C22⋊C4×C53C2414yes—
670C42×C53C2411yescharacteristic
671C42×C53C2412yes—
672C42×C53C2411yescharacteristic
673C42×C53C2414yes—
674C42×C53C2414yes—
675C42×C53C2414yes—
676C22⋊Dic53C2414yes—
677C22⋊Dic53C2414yes—
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—
703#11719921C2414yes—
704#11719921C2414yes—
705#11719921C2414yes—
706#11719921C2414yes—
707C4⋊Dic53C2414yes—
708C4⋊Dic53C2414yes—
709C4⋊Dic53C2414yes—
710C4⋊Dic53C2414yes—
711C4⋊Dic53C2412yes—
712C4⋊Dic53C2414yes—
713C4⋊Dic53C2414yes—
714C4⋊Dic53C2412yes—
715C4⋊Dic53C2412yes—
716C4⋊Dic53C2414yes—
717C4⋊Dic53C2412yes—
718C4⋊Dic53C2414yes—
719C4⋊Dic53C2414yes—
720C4⋊Dic53C2414yes—
721C4⋊Dic53C2414yes—
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—
752C4×Dic53C2412yes—
753C4×Dic53C2412yes—
754C4×Dic53C2412yes—
755C4×Dic53C2411yescharacteristic
756C4×Dic53C2412yes—
757C4×Dic53C2412yes—
758C4×Dic53C2411yescharacteristic
759C4×Dic53C2414yes—
760C4×Dic53C2414yes—
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—28no—
775C22×D53—42no—
776C22×D53—44no—
777C22×D53—44no—
778C22×D532−1+414yes—
779C22×D53C2514yes—
780C22×D53C2512yes—
781Q8×C53—42no—
782Q8×C53—44no—
783D4×C53—28no—
784D4×C53—42no—
785D4×C53—44no—
786C2×C4×C53—22no—
787C2×C4×C53—44no—
788C2×C4×C53—44no—
789C2×C4×C53—44no—
790C2×C4×C53—42no—
791C2×C4×C53—44no—
792C2×C4×C53C2514yes—
793C2×C4×C53C2514yes—
794C2×C4×C53C2514yes—
795C2×C4×C53C2514yes—
796C2×C4×C53C2512yes—
797C2×C4×C53C2512yes—
798C2×C4×C53C2511yescharacteristic
799C2×C4×C53C2511yescharacteristic
800C2×C4×C53C2514yes—
801C22⋊D53—28no—
802C22⋊D53—28no—
803C22⋊D53—28no—
804C22⋊D53—44no—
805C22⋊D53—44no—
806C2×Dic53—22no—
807C2×Dic53—24no—
808C2×Dic53—28no—
809C2×Dic53—44no—
810C2×Dic53—44no—
811C2×Dic53—44no—
812C2×Dic53C2514yes—
813C2×Dic53C2512yes—
814C2×Dic53C2514yes—
815C2×Dic53C2514yes—
816C2×Dic53C2514yes—
817C2×Dic53C2512yes—
818C2×Dic53C2514yes—
819C2×Dic53C2512yes—
820D212—28no—
821D212—44no—
822D212—42no—
823C4×D53—24no—
824C4×D53—24no—
825C4×D53—28no—
826C4×D53—24no—
827C4×D53—28no—
828C4×D53—24no—
829C4×D53—42no—
830C4×D53—42no—
831C4×D53—44no—
832C4×D53—44no—
833C4×D53—44no—
834C4×D53—44no—
835C4×D53—44no—
836C4×D53—44no—
837C4×D53—44no—
838Dic106—28no—
839Dic106—28no—
840Dic106—28no—
841Dic106—44no—
842Dic106—44no—
843Dic106—44no—
844Dic106—44no—
845Dic106—42no—
846Dic106—44no—
847#62823—531nomaximal, Sylow
848C22×C53—22no—
849C22×C53—24no—
850C22×C53—24no—
851C22×C53—24no—
852C22×C53C2×2−1+412yes—
853C22×C53C2611yescharacteristic
854C2×D53—22no—
855C2×D53—22no—
856C2×D53—24no—
857C2×D53—24no—
858C2×D53—24no—
859C2×D53—44no—
860C2×D53—88no—
861C2×D53C2×2−1+414yes—
862C4×C53—21no—
863C4×C53—21no—
864C4×C53—24no—
865C4×C53—24no—
866C4×C53—24no—
867C4×C53—24no—
868C4×C53—24no—
869C4×C53—22no—
870C4×C53—22no—
871Dic53—22no—
872Dic53—24no—
873Dic53—24no—
874Dic53—24no—
875Dic53—24no—
876Dic53—22no—
877Dic53—24no—
878Dic53#58514yes—
879#3564—534no—
880#3564—534no—
881#3563—532no—
882#3563—532no—
883#3561—532no—
884#3561—532no—
885#3553—532no—
886#3553—531no—
887#3553D5311yescharacteristic, complemented
888#3552—534no—
889#3523—534no—
890#3520—534no—
891#3516—534no—
892#3516—534no—
893#3505—534no—
894#3501—534no—
895#3495—534no—
896#3495—534no—
897#3491—534no—
898C2×#533—531no—
899C2×#529—532no—
900C2×C53—22no—
901C2×C53—44no—
902C2×C53C22×2−1+411yescharacteristic
903C2×C53C2×#58512yes—
904D53—24no—
905D53—44no—
906#564—532no—
907#564—531no—
908#564C2×D5311yescharacteristic, complemented
909#563—534no—
910#563—534no—
911#563—532no—
912#563—532no—
913#563—532no—
914#563—534no—
915#563—534no—
916#563C2×D5312yescomplemented
917#562—531no—
918#562—532no—
919#562C2×D5311yescharacteristic, complemented
920#557—534no—
921#557—534no—
922#557—534no—
923#556—534no—
924#556—534no—
925#556—534no—
926#556—534no—
927#556—534no—
928#556—534no—
929#556—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#554—534no—
939#554—534no—
940#554—534no—
941#554C2×D5314yescomplemented
942#553—534no—
943#553—534no—
944#553—534no—
945#553—534no—
946#553—534no—
947#553C2×D5314yescomplemented
948#552—534no—
949#552—534no—
950#552—534no—
951#552—534no—
952#552—534no—
953#552—534no—
954#552—534no—
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#552C2×D5314yescomplemented
968#551—534no—
969#551—534no—
970#551—534no—
971#551—534no—
972#551—534no—
973#551—534no—
974#551—534no—
975#551—534no—
976#551—534no—
977#551—534no—
978#551—534no—
979#551—534no—
980D4×Q8—534no—
981D4×Q8—534no—
982D4×Q8—534no—
983D4×Q8—534no—
984D4×Q8—534no—
985#548—534no—
986#548—534no—
987#548—534no—
988#548—534no—
989#547—534no—
990#546—534no—
991#546—534no—
992#544—534no—
993#544—534no—
994#544—534no—
995#544—534no—
996#543—534no—
997#543—534no—
998#543—534no—
999#542—534no—
1000#542—534no—
1001#542—534no—
1002#542—534no—
1003#542—534no—
1004#542—534no—
1005#542—534no—
1006#542—534no—
1007#541—534no—
1008#541—534no—
1009#541—534no—
1010#541—534no—
1011#541—534no—
1012#541—534no—
1013#541—534no—
1014#541—534no—
1015#541—534no—
1016#541—534no—
1017#541—534no—
1018#541C2×D5314yescomplemented
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#539C2×D5314yescomplemented
1028#539C2×D5314yescomplemented
1029#538—534no—
1030#538—534no—
1031#536—534no—
1032#536—534no—
1033#534—534no—
1034#533—532no—
1035#533—532no—
1036#533—534no—
1037#533—532no—
1038#533—532no—
1039#533—534no—
1040#533—534no—
1041#533—534no—
1042C2×C4⋊Q8—532no—
1043#529—534no—
1044#529—534no—
1045#529—532no—
1046#529—532no—
1047#529—534no—
1048#529—532no—
1049#529—534no—
1050#529—532no—
1051#529—534no—
1052#529—532no—
1053#529—534no—
1054#529—532no—
1055#529—534no—
1056#529—534no—
1057#529—534no—
1058#529—534no—
1059#529—532no—
1060#529C2×D5312yescomplemented
1061C2×#126—534no—
1062C2×#125—532no—
1063C2×#125—531no—
1064C2×#125C2×D5311yescharacteristic, complemented
1065C2×#124—532no—
1066#525—534no—
1067#525—534no—
1068C2×#123—534no—
1069C2×C22⋊Q8—532no—
1070C2×C22⋊Q8—534no—
1071C2×C22⋊Q8—534no—
1072C2×C22⋊Q8—534no—
1073C2×#121—532no—
1074#520—534no—
1075#520—534no—
1076#519—534no—
1077#519—534no—
1078#518—534no—
1079#518—534no—
1080C2×C4×Q8—532no—
1081C2×C4×Q8—534no—
1082C2×C4×D4—534no—
1083C2×C4×D4—532no—
1084C2×#117—534no—
1085C2×#117—532no—
1086C22×C42—531no—
1087C53#6282311yescharacteristic, complemented, Sylow
1088C2×#41—534no—
1089C2×#41—534no—
1090C22×Q8—532no—
1091C22×Q8—534no—
1092C22×Q8—534no—
1093C22×Q8—534no—
1094C22×D4—534no—
1095C22×D4—532no—
1096C23×C4—531no—
1097C23×C4—534no—
1098C23×C4—532no—
1099C4⋊Q8—534no—
1100C4⋊Q8—534no—
1101C4⋊Q8—534no—
1102C4⋊Q8—532no—
1103C4⋊Q8—532no—
1104C4⋊Q8—532no—
1105C4⋊Q8—532no—
1106C4⋊Q8—534no—
1107C4⋊Q8—534no—
1108C4⋊Q8—534no—
1109C4⋊Q8—534no—
1110C4⋊Q8—534no—
1111C4⋊Q8—534no—
1112C4⋊Q8—534no—
1113C4⋊Q8—534no—
1114C4⋊Q8—534no—
1115C4⋊Q8—534no—
1116C4⋊Q8C22×D5314yes—
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#126—534no—
1138#126—534no—
1139#126—534no—
1140#126—534no—
1141#126—534no—
1142#126—534no—
1143#126—534no—
1144#126—534no—
1145#126—534no—
1146#126—534no—
1147#126—534no—
1148#126C22×D5314yes—
1149#126C22×D5314yes—
1150#126C22×D5314yes—
1151#126C22×D5314yes—
1152#126C22×D5314yes—
1153#125—532no—
1154#125—532no—
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—532no—
1181#125—534no—
1182#125—531no—
1183#125—531no—
1184#125—532no—
1185#125—534no—
1186#125—534no—
1187#125C22×D5312yes—
1188#125C22×D5314yes—
1189#125C22×D5312yes—
1190#125C22×D5311yescharacteristic
1191#125C22×D5311yescharacteristic
1192#125C22×D5314yes—
1193#125C22×D5314yes—
1194#125C22×D5314yes—
1195#125C22×D5314yes—
1196#125C22×D5314yes—
1197#124—532no—
1198#124—534no—
1199#124—532no—
1200#124—534no—
1201#124—534no—
1202#124—534no—
1203#124—534no—
1204#124—534no—
1205#124—534no—
1206#124—534no—
1207#124—534no—
1208#124—534no—
1209#124—534no—
1210#124—532no—
1211#124—534no—
1212#124C22×D5312yes—
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#123C22×D5314yes—
1241#123C22×D5314yes—
1242#123C22×D5314yes—
1243#123C22×D5314yes—
1244#123C22×D5314yes—
1245C22⋊Q8—532no—
1246C22⋊Q8—534no—
1247C22⋊Q8—534no—
1248C22⋊Q8—534no—
1249C22⋊Q8—534no—
1250C22⋊Q8—532no—
1251C22⋊Q8—534no—
1252C22⋊Q8—534no—
1253C22⋊Q8—534no—
1254C22⋊Q8—534no—
1255C22⋊Q8—534no—
1256C22⋊Q8—534no—
1257C22⋊Q8—534no—
1258C22⋊Q8—534no—
1259C22⋊Q8—532no—
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⋊Q8—534no—
1292C22⋊Q8—534no—
1293C22⋊Q8—534no—
1294C22⋊Q8—534no—
1295C22⋊Q8—534no—
1296C22⋊Q8—534no—
1297C22⋊Q8—534no—
1298C22⋊Q8—534no—
1299C22⋊Q8—534no—
1300C22⋊Q8—534no—
1301C22⋊Q8—534no—
1302C22⋊Q8C22×D5312yes—
1303C22⋊Q8C22×D5314yes—
1304C22⋊Q8C22×D5314yes—
1305C22⋊Q8C22×D5314yes—
1306C22⋊Q8C22×D5314yes—
1307C22⋊Q8C22×D5314yes—
1308C22⋊Q8C22×D5314yes—
1309#121—532no—
1310#121—534no—
1311#121—534no—
1312#121—534no—
1313#121—534no—
1314#121—534no—
1315#121—532no—
1316#121—534no—
1317#121—532no—
1318#121—534no—
1319#121—534no—
1320#121—534no—
1321#121—534no—
1322#121C22×D5312yes—
1323#121C22×D5314yes—
1324#121C22×D5314yes—
1325#120—534no—
1326#120—534no—
1327#120—534no—
1328#120—534no—
1329C4×Q8—532no—
1330C4×Q8—534no—
1331C4×Q8—534no—
1332C4×Q8—534no—
1333C4×Q8—534no—
1334C4×Q8—532no—
1335C4×Q8—534no—
1336C4×Q8—534no—
1337C4×Q8—534no—
1338C4×Q8—534no—
1339C4×Q8—534no—
1340C4×Q8—534no—
1341C4×Q8—534no—
1342C4×Q8—534no—
1343C4×Q8—534no—
1344C4×Q8—534no—
1345C4×Q8—534no—
1346C4×Q8—534no—
1347C4×Q8—534no—
1348C4×Q8—532no—
1349C4×Q8—534no—
1350C4×Q8—534no—
1351C4×Q8—534no—
1352C4×Q8—534no—
1353C4×Q8—534no—
1354C4×Q8—534no—
1355C4×Q8C22×D5312yes—
1356C4×Q8C22×D5314yes—
1357C4×D4—532no—
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—534no—
1368C4×D4—534no—
1369C4×D4—534no—
1370C4×D4—534no—
1371C4×D4—534no—
1372C4×D4—534no—
1373C4×D4—534no—
1374C4×D4—532no—
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—534no—
1388C4×D4—532no—
1389C4×D4—534no—
1390C4×D4—534no—
1391C4×D4—534no—
1392C4×D4C22×D5312yes—
1393C4×D4C22×D5314yes—
1394C4×D4C22×D5314yes—
1395C4×D4C22×D5314yes—
1396C4×D4C22×D5314yes—
1397#117—534no—
1398#117—534no—
1399#117—534no—
1400#117—534no—
1401#117—534no—
1402#117—532no—
1403#117—532no—
1404#117—534no—
1405#117—534no—
1406#117—532no—
1407#117—532no—
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#117—534no—
1421#117—534no—
1422#117—534no—
1423#117—534no—
1424#117—534no—
1425#117—534no—
1426#117—534no—
1427#117C22×D5314yes—
1428#117C22×D5314yes—
1429C2×C4⋊C4—532no—
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⋊C4C22×D5312yes—
1444C2×C4⋊C4C22×D5314yes—
1445C2×C4⋊C4C22×D5314yes—
1446C2×C22⋊C4—534no—
1447C2×C22⋊C4—534no—
1448C2×C22⋊C4—534no—
1449C2×C22⋊C4—534no—
1450C2×C22⋊C4—534no—
1451C2×C22⋊C4—534no—
1452C2×C22⋊C4—534no—
1453C2×C22⋊C4—534no—
1454C2×C22⋊C4—534no—
1455C2×C22⋊C4—534no—
1456C2×C42—534no—
1457C2×C42—532no—
1458C2×C42—531no—
1459C2×C42—532no—
1460C2×C42—534no—
1461C2×C42—532no—
1462C2×C42—532no—
1463C2×C42—532no—
1464C2×C42C22×D5311yescharacteristic
1465C24—531no—
1466C24—534no—
1467#41—2128no—
1468#41—2128no—
1469C2×Q8—534no—
1470C2×Q8—534no—
1471C2×Q8—534no—
1472C2×Q8—534no—
1473C2×Q8—534no—
1474C2×Q8—534no—
1475C2×Q8—532no—
1476C2×Q8—534no—
1477C2×Q8—534no—
1478C2×Q8—2128no—
1479C2×Q8—2128no—
1480C2×Q8—2124no—
1481C2×Q8—2128no—
1482C2×Q8C23×D5314yes—
1483C2×Q8C23×D5312yes—
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×D4—10616no—
1493C2×D4—2124no—
1494C2×D4C23×D5314yes—
1495C2×D4C23×D5314yes—
1496C2×D4C23×D5312yes—
1497C22×C4—531no—
1498C22×C4—532no—
1499C22×C4—534no—
1500C22×C4—534no—
1501C22×C4—534no—
1502C22×C4—534no—
1503C22×C4—532no—
1504C22×C4—532no—
1505C22×C4—532no—
1506C22×C4—532no—
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—1064no—
1519C22×C4—2124no—
1520C22×C4—2128no—
1521C22×C4C23×D5311yescharacteristic
1522C22×C4C23×D5312yes—
1523C22×C4C23×D5314yes—
1524C22×C4C23×D5314yes—
1525C22×C4C23×D5314yes—
1526C22×C4C23×D5314yes—
1527C4⋊C4—534no—
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—532no—
1548C4⋊C4—534no—
1549C4⋊C4—534no—
1550C4⋊C4—534no—
1551C4⋊C4—534no—
1552C4⋊C4—534no—
1553C4⋊C4—534no—
1554C4⋊C4—532no—
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—534no—
1572C4⋊C4C23×D5314yes—
1573C4⋊C4C23×D5314yes—
1574C4⋊C4C23×D5314yes—
1575C4⋊C4C23×D5314yes—
1576C4⋊C4C23×D5312yes—
1577C4⋊C4C23×D5314yes—
1578C4⋊C4C23×D5312yes—
1579C4⋊C4C23×D5314yes—
1580C4⋊C4C23×D5314yes—
1581C4⋊C4C23×D5312yes—
1582C4⋊C4C23×D5314yes—
1583C4⋊C4C23×D5312yes—
1584C4⋊C4C23×D5314yes—
1585C4⋊C4C23×D5314yes—
1586C4⋊C4C23×D5314yes—
1587C4⋊C4C23×D5314yes—
1588C4⋊C4C23×D5314yes—
1589C4⋊C4C23×D5314yes—
1590C4⋊C4C23×D5314yes—
1591C22⋊C4—534no—
1592C22⋊C4—534no—
1593C22⋊C4—534no—
1594C22⋊C4—534no—
1595C22⋊C4—534no—
1596C22⋊C4—534no—
1597C22⋊C4—534no—
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⋊C4C23×D5314yes—
1623C22⋊C4C23×D5314yes—
1624C22⋊C4C23×D5314yes—
1625C22⋊C4C23×D5314yes—
1626C22⋊C4C23×D5314yes—
1627C22⋊C4C23×D5314yes—
1628C22⋊C4C23×D5314yes—
1629C22⋊C4C23×D5314yes—
1630C22⋊C4C23×D5314yes—
1631C42—532no—
1632C42—532no—
1633C42—532no—
1634C42—531no—
1635C42—532no—
1636C42—532no—
1637C42—531no—
1638C42—534no—
1639C42—534no—
1640C42—534no—
1641C42—534no—
1642C42—534no—
1643C42—534no—
1644C42—534no—
1645C42—534no—
1646C42—534no—
1647C42—534no—
1648C42—534no—
1649C42—534no—
1650C42—534no—
1651C42C23×D5311yescharacteristic
1652C42C23×D5312yes—
1653C42C23×D5311yescharacteristic
1654C42C23×D5314yes—
1655C42C23×D5314yes—
1656C42C23×D5314yes—
1657C23—532no—
1658C23—534no—
1659C23—534no—
1660C23—1068no—
1661C23—2124no—
1662C23—2124no—
1663C23—2122no—
1664C23C24×D5314yes—
1665C23C24×D5311yescharacteristic
1666Q8—44no—
1667Q8—42no—
1668Q8—1068no—
1669Q8—1068no—
1670Q8—1068no—
1671Q8—2124no—
1672Q8—2124no—
1673Q8—2124no—
1674Q8—2124no—
1675Q8—2122no—
1676Q8—2124no—
1677D4—28no—
1678D4—42no—
1679D4—44no—
1680D4—1068no—
1681D4—1068no—
1682D4—1068no—
1683D4—1068no—
1684D4—2122no—
1685D4—2124no—
1686D4—2124no—
1687D4—2124no—
1688C2×C4—22no—
1689C2×C4—44no—
1690C2×C4—42no—
1691C2×C4—44no—
1692C2×C4—44no—
1693C2×C4—44no—
1694C2×C4—532no—
1695C2×C4—532no—
1696C2×C4—534no—
1697C2×C4—532no—
1698C2×C4—534no—
1699C2×C4—534no—
1700C2×C4—534no—
1701C2×C4—534no—
1702C2×C4—1064no—
1703C2×C4—1064no—
1704C2×C4—1068no—
1705C2×C4—1064no—
1706C2×C4—1064no—
1707C2×C4—1068no—
1708C2×C4—1064no—
1709C2×C4—1068no—
1710C2×C4—1062no—
1711C2×C4—2124no—
1712C2×C4—2122no—
1713C2×C4—2124no—
1714C2×C4—2122no—
1715C2×C4—2124no—
1716C2×C4—2124no—
1717C2×C4—2124no—
1718C2×C4—2124no—
1719C2×C4—2124no—
1720C2×C4—2124no—
1721C2×C4—2124no—
1722C2×C4—2124no—
1723C2×C4C24×D5312yes—
1724C2×C4C24×D5314yes—
1725C2×C4C24×D5314yes—
1726C2×C4C24×D5314yes—
1727C2×C4C24×D5311yescharacteristic
1728C2×C4C24×D5311yescharacteristic
1729C2×C4C24×D5314yes—
1730C2×C4C24×D5312yes—
1731C2×C4C24×D5314yes—
1732C22—22no—
1733C22—24no—
1734C22—24no—
1735C22—24no—
1736C22—534no—
1737C22—1062no—
1738C22—1062no—
1739C22—1064no—
1740C22—1064no—
1741C22—1064no—
1742C22—4248no—
1743C22—2124no—
1744C222−1+4×D5312yes—
1745C22C25×D5311yescharacteristic
1746C4—21no—
1747C4—21no—
1748C4—24no—
1749C4—22no—
1750C4—24no—
1751C4—24no—
1752C4—24no—
1753C4—22no—
1754C4—24no—
1755C4—534no—
1756C4—1062no—
1757C4—1064no—
1758C4—1064no—
1759C4—1062no—
1760C4—1064no—
1761C4—1064no—
1762C4—1064no—
1763C2—22no—
1764C2—44no—
1765C2—1064no—
1766C2—2124no—
1767C2C2×2−1+4×D5311yescharacteristic
1768C2#585×D5312yes—
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3553C2
hypercenter#3553D53
hypocenterC53#62823
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3553

Complements

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

NH ≅ G/Ntype
1. #20289342C2semidirect
2. #20289332C2semidirect
3. #20289324C2semidirect
4. #20289315C2semidirect
5. #20289283C2semidirect
6. #20289277C2semidirect
7. #20289171C2semidirect
8. #20289168C2semidirect
9. #20289148C2semidirect
10. #20288807C2semidirect
11. #20288756C2semidirect
12. #20288705C2semidirect
13. #20288699C2semidirect
14. #20288548C2semidirect
15. #20288514C2semidirect
16. #20288466C2semidirect
17. #20288458C2semidirect
18. #20288409C2semidirect
19. C2×#16811179C2semidirect
20. #529×D53C2semidirect
21. C53×#3553C2semidirect
22. C53⋊#564C22semidirect
23. C53⋊#564C22semidirect
24. #16811377C22semidirect
25. #16811377C22semidirect
26. #16811377C22semidirect
27. #16811376C22semidirect
28. #16811375C22semidirect
29. #16811374C22semidirect
30. #16811373C22semidirect
31. #16811371C22semidirect
32. #16811367C22semidirect
33. #16811350C22semidirect
34. #16811350C22semidirect
35. #16811348C22semidirect
36. #16811345C22semidirect
37. #16811344C22semidirect
38. #16811344C22semidirect
39. #16811343C22semidirect
40. #16811340C22semidirect
41. #16811340C22semidirect
42. #16811340C22semidirect
43. #16811333C22semidirect
44. #16811332C22semidirect
45. #16811332C22semidirect
46. #16811329C22semidirect
47. #16811329C22semidirect
48. #16811328C22semidirect
49. #16811328C22semidirect
50. #16811327C22semidirect
51. #16811327C22semidirect
52. #16811327C22semidirect
53. #16811327C22semidirect
54. #16811322C22semidirect
55. #16811322C22semidirect
56. #16811321C22semidirect
57. #16811316C22semidirect
58. #16811316C22semidirect
59. #16811312C22semidirect
60. #16811312C22semidirect
61. #16811311C22semidirect
62. #16811311C22semidirect
63. #16811310C22semidirect
64. #16811310C22semidirect
65. #16811309C22semidirect
66. #16811309C22semidirect
67. #16811309C22semidirect
68. #16811308C22semidirect
69. #16811307C22semidirect
70. #16811307C22semidirect
71. #16811306C22semidirect
72. #16811305C22semidirect
73. #16811305C22semidirect
74. #16811305C22semidirect
75. #16811305C22semidirect
76. #16811305C22semidirect
77. #16811305C22semidirect
78. #16811302C22semidirect
79. #16811301C22semidirect
80. #16811301C22semidirect
81. #16811301C22semidirect
82. #16811300C22semidirect
83. #16811300C22semidirect
84. #16811298C22semidirect
85. #16811298C22semidirect
86. #16811298C22semidirect
87. #16811297C22semidirect
88. #16811296C22semidirect
89. #16811296C22semidirect
90. D4×Dic106C22semidirect
91. #16811288C22semidirect
92. #16811286C22semidirect
93. #16811286C22semidirect
94. #16811286C22semidirect
95. #16811283C22semidirect
96. #16811282C22semidirect
97. #16811279C22semidirect
98. #16811279C22semidirect
99. #16811271C22semidirect
100. #16811265C22semidirect
101. #16811262C22semidirect
102. #16811253C22semidirect
103. #16811253C22semidirect
104. #16811252C22semidirect
105. #16811250C22semidirect
107. #16811248C22semidirect
108. #16811248C22semidirect
109. #16811247C22semidirect
110. #16811243C22semidirect
111. #16811243C22semidirect
112. #16811241C22semidirect
113. #16811241C22semidirect
114. #16811241C22semidirect
115. #16811240C22semidirect
116. #16811239C22semidirect
117. #16811236C22semidirect
118. #16811233C22semidirect
119. #16811232C22semidirect
120. #16811232C22semidirect
121. #16811232C22semidirect
122. #16811232C22semidirect
123. #16811231C22semidirect
124. #16811230C22semidirect
125. #16811230C22semidirect
126. #16811230C22semidirect
127. #16811230C22semidirect
129. #16811221C22semidirect
130. #16811220C22semidirect
131. #16811217C22semidirect
132. #16811217C22semidirect
134. #16811215C22semidirect
135. #16811214C22semidirect
138. #16811196C22semidirect
139. #16811195C22semidirect
141. #16811179C22semidirect
142. #16811179C22semidirect
143. #16811179C22semidirect
144. #16811179C22semidirect
145. #16811179C22semidirect
146. #16811179C22semidirect
147. #16811179C22semidirect
148. #16811177C22semidirect
149. C2×#13133216C22semidirect
151. #16811159C22semidirect
152. #16811159C22semidirect
154. #16811157C22semidirect
158. #16811154C22semidirect
159. #16811154C22semidirect
160. #16811153C22semidirect
161. #16811153C22semidirect
162. #16811153C22semidirect
166. #16811150C22semidirect
167. #126×D53C22semidirect
168. C2×#13133209C22semidirect
169. #125×D53C22semidirect
170. #124×D53C22semidirect
175. C2×#13133195C22semidirect
177. C22⋊Q8×D53C22semidirect
179. #16811104C22semidirect
180. #16811102C22semidirect
181. #16811100C22semidirect
182. #16811099C22semidirect
185. C2×#13133182C22semidirect
186. C4×Q8×D53C22semidirect
188. C4×D4×D53C22semidirect
190. #117×D53C22semidirect
192. C53×#564C22semidirect
193. C53×#563C22semidirect
194. C53×#562C22semidirect
195. C53×#554C22semidirect
196. C53×#553C22semidirect
197. C53×#552C22semidirect
198. C53×#541C22semidirect
199. C53×#539C22semidirect
200. C53×#539C22semidirect
201. C53×#529C22semidirect
202. C2×#125×C53C22semidirect
887. #3553D53semidirect
908. #564C2×D53semidirect
916. #563C2×D53semidirect
919. #562C2×D53semidirect
941. #554C2×D53semidirect
947. #553C2×D53semidirect
967. #552C2×D53semidirect
1018. #541C2×D53semidirect
1027. #539C2×D53semidirect
1028. #539C2×D53semidirect
1060. #529C2×D53semidirect
1064. C2×#125C2×D53semidirect
1087. C53#62823semidirect

Maximal subgroups

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

subgroupindex
#202893422
#202893322
#202893242
#202893152
#202892832
#202892772
#202891712
#202891682
#202891482
#202888072
#202887562
#202887052
#202886992
#202885482
#202885142
#202884662
#202884582
#202884092
C2×#168111792
#529×D532
C53×#35532
#6282353