Finite Group Databasebeta

← #28292795

Subgroups — #28292795

Order 13568.

6538 conjugacy classes of subgroups.

The subgroup lattice has 2556 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289332C214yesmaximal, complemented
2#20289327C214yesmaximal, complemented
3#20289322C212yesmaximal, complemented
4#20289319C212yesmaximal, complemented
5#20289278C212yesmaximal, complemented
6#20289274C212yesmaximal, complemented
7#20289164C214yesmaximal, complemented
8#20289157C211yesmaximal, characteristic, complemented
9#20289153C211yesmaximal, characteristic, complemented
10#20289153C211yesmaximal, characteristic, complemented
11#20289145C211yesmaximal, characteristic, complemented
12#20288810C211yesmaximal, characteristic, complemented
13#20288809C211yesmaximal, characteristic, complemented
14#20288806C211yesmaximal, characteristic, complemented
15#20288803C211yesmaximal, characteristic, complemented
16#20288767C211yesmaximal, characteristic, complemented
17#20288764C211yesmaximal, characteristic, complemented
18#20288755C211yesmaximal, characteristic, complemented
19#20288707C212yesmaximal, complemented
20#20288702C212yesmaximal, complemented
21#20288701C212yesmaximal, complemented
22#20288700C212yesmaximal, complemented
23#20288543C212yesmaximal, complemented
24#20288542C212yesmaximal, complemented
25#20288512C212yesmaximal, complemented
26#20288511C212yesmaximal, complemented
27#20288469C212yesmaximal, complemented
28#20288468C212yesmaximal, complemented
29#20288465C212yesmaximal, complemented
30#20288461C212yesmaximal, complemented
31#20288406C214yesmaximal, complemented
32#533×D53C211yesmaximal, characteristic, complemented
33C2×#16811155C211yesmaximal, characteristic, complemented
34#529×D53C211yesmaximal, characteristic, complemented
35C53×#3520C211yesmaximal, characteristic, complemented
36C53⋊#564C2214yescomplemented
37#16811376C2214yescomplemented
38#16811376C2214yescomplemented
39#16811376C2214yescomplemented
40#16811375C2214yescomplemented
41#16811374C2214yescomplemented
42#16811374C2214yescomplemented
43#16811368C2214yescomplemented
44#16811352C2211yescharacteristic, complemented
45#16811351C2211yescharacteristic, complemented
46#16811350C2212yescomplemented
47#16811349C2212yescomplemented
48#16811349C2212yescomplemented
49#16811348C2211yescharacteristic, complemented
50#16811348C2211yescharacteristic, complemented
51#16811348C2212yescomplemented
52#16811347C2211yescharacteristic, complemented
53#16811345C2212yescomplemented
54#16811344C2214yescomplemented
55#16811343C2211yescharacteristic, complemented
56#16811343C2212yescomplemented
57#16811343C2211yescharacteristic, complemented
58#16811343C2214yescomplemented
59#16811342C2212yescomplemented
60#16811342C2212yescomplemented
61#16811342C2214yescomplemented
62#16811341C2214yescomplemented
63#16811334C2212yescomplemented
64#16811331C2214yescomplemented
65#16811331C2214yescomplemented
66#16811331C2212yescomplemented
67#16811331C2212yescomplemented
68#16811330C2214yescomplemented
69#16811329C2214yescomplemented
70#16811328C2212yescomplemented
71#16811328C2212yescomplemented
72#16811328C2212yescomplemented
73#16811328C2214yescomplemented
74#16811328C2212yescomplemented
75#16811328C2214yescomplemented
76#16811327C2214yescomplemented
77#16811327C2214yescomplemented
78#16811323C2212yescomplemented
79#16811323C2214yescomplemented
80#16811320C2212yescomplemented
81#16811320C2214yescomplemented
82#16811320C2212yescomplemented
83#16811318C2214yescomplemented
84#16811318C2214yescomplemented
85#16811317C2212yescomplemented
86#16811315C2212yescomplemented
87#16811315C2214yescomplemented
88#16811313C2212yescomplemented
89#16811313C2214yescomplemented
90#16811313C2212yescomplemented
91#16811313C2214yescomplemented
92#16811313C2214yescomplemented
93#16811312C2212yescomplemented
94#16811312C2214yescomplemented
95#16811310C2214yescomplemented
96#16811310C2214yescomplemented
97#16811310C2214yescomplemented
98#16811309C2214yescomplemented
99#16811309C2214yescomplemented
100#16811309C2214yescomplemented
101#16811308C2212yescomplemented
102#16811308C2214yescomplemented
103#16811308C2214yescomplemented
104#16811307C2212yescomplemented
105#16811307C2214yescomplemented
106#16811307C2212yescomplemented
107#16811307C2214yescomplemented
108#16811306C2214yescomplemented
109#16811304C2214yescomplemented
110#16811304C2214yescomplemented
111#16811303C2214yescomplemented
112#16811302C2214yescomplemented
113#16811302C2214yescomplemented
114#16811301C2214yescomplemented
115#16811301C2214yescomplemented
116#16811299C2214yescomplemented
117#16811299C2214yescomplemented
118#16811299C2214yescomplemented
119#16811296C2214yescomplemented
120Q8×D212C2212yescomplemented
121D4×Dic106C2212yescomplemented
122D4×Dic106C2211yescharacteristic, complemented
123D4×Dic106C2211yescharacteristic, complemented
124#16811288C2211yescharacteristic, complemented
125Q8×C22⋊D53C2212yescomplemented
126Q8×C22⋊D53C2212yescomplemented
127#16811286C2212yescomplemented
128#16811286C2212yescomplemented
129#16811286C2212yescomplemented
130#16811286C2212yescomplemented
131#16811283C2212yescomplemented
132#16811282C2212yescomplemented
133#16811281C2212yescomplemented
134#16811280C2212yescomplemented
135#16811280C2212yescomplemented
136#16811280C2212yescomplemented
137#16811279C2212yescomplemented
138#16811278C2211yescharacteristic, complemented
139#16811277C2211yescharacteristic, complemented
140#16811270C2212yescomplemented
141#16811267C2212yescomplemented
142#16811261C2212yescomplemented
143#16811254C2212yescomplemented
144#16811254C2212yescomplemented
145#16811253C2214yescomplemented
146#16811252C2214yescomplemented
147#16811251C2212yescomplemented
148#16811250C2212yescomplemented
149#16811249C2214yescomplemented
150#16811248C2214yes—
151#16811248C2214yescomplemented
152#16811246C2212yescomplemented
153#16811246C2212yescomplemented
154#16811241C2214yescomplemented
155#16811240C2214yescomplemented
156#16811240C2212yescomplemented
157#16811240C2212yescomplemented
158#16811240C2212yescomplemented
159#16811238C2214yescomplemented
160#16811238C2212yescomplemented
161#16811238C2212yescomplemented
162#16811237C2214yescomplemented
163#16811235C2212yescomplemented
164#16811235C2214yescomplemented
165#16811233C2214yescomplemented
166#16811233C2212yescomplemented
167#16811233C2214yescomplemented
168#16811233C2212yescomplemented
169#16811233C2212yescomplemented
170#16811233C2212yescomplemented
171#16811233C2212yescomplemented
172#16811232C2214yescomplemented
173#16811232C2214yescomplemented
174#16811231C2212yescomplemented
175#16811231C2212yescomplemented
176#16811230C2214yescomplemented
177#16811230C2214yescomplemented
178#16811230C2214yescomplemented
179#16811219C2214yescomplemented
180#16811217C2214yescomplemented
181#16811216C2214yes—
182#16811216C2214yescomplemented
183#16811216C2214yescomplemented
184#16811216C2214yescomplemented
185#16811215C2214yes—
186#16811215C2214yescomplemented
187#16811214C2214yescomplemented
188#16811208C2214yes—
189#16811205C2214yes—
190#16811197C2212yescomplemented
191#16811194C2212yescomplemented
192#16811194C2212yescomplemented
193#16811193C2212yescomplemented
194#16811183C2214yes—
195#16811180C2211yescharacteristic, complemented
196#16811179C2212yescomplemented
197#16811178C2211yescharacteristic, complemented
198#16811178C2211yescharacteristic, complemented
199#16811178C2212yescomplemented
200#16811177C2212yescomplemented
201#16811177C2212yescomplemented
202#16811177C2212yescomplemented
203#16811176C2212yescomplemented
204#16811175C2212yescomplemented
205#16811175C2212yescomplemented
206#16811175C2212yescomplemented
207#16811175C2212yescomplemented
208C4⋊Q8×D53C2211yescharacteristic, complemented
209C4⋊Q8×D53C2211yescharacteristic, complemented
210#16811160C2211yescharacteristic, complemented
211#16811159C2212yes—
212#16811159C2211yescharacteristic
213#16811158C2211yescharacteristic, complemented
214#16811157C2211yescharacteristic
215#16811156C2212yescomplemented
216#16811156C2214yescomplemented
217#16811155C2212yes—
218#16811155C2211yescharacteristic
219#16811155C2211yescharacteristic
220#16811155C2212yes—
221#16811155C2212yes—
222#16811155C2211yescharacteristic
223#16811155C2211yescharacteristic
224#16811155C2211yescharacteristic, complemented
225#16811155C2211yescharacteristic, complemented
226#16811155C2211yescharacteristic, complemented
227#16811155C2212yescomplemented
228#16811155C2214yescomplemented
229#16811155C2211yescharacteristic, complemented
230#16811155C2212yescomplemented
231#16811155C2211yescharacteristic, complemented
232#16811154C2212yes—
233#16811154C2211yescharacteristic
234#16811153C2212yes—
235#16811152C2212yes—
236#16811152C2214yescomplemented
237#16811152C2211yescharacteristic, complemented
238#16811151C2214yescomplemented
239#16811151C2212yescomplemented
240#16811150C2212yes—
241C2×#13133210C2212yescomplemented
242#126×D53C2212yescomplemented
243C2×#13133208C2211yescharacteristic, complemented
244#125×D53C2212yescomplemented
245#125×D53C2211yescharacteristic, complemented
246C2×#13133204C2211yescharacteristic, complemented
247#124×D53C2211yescharacteristic, complemented
248#16811134C2212yes—
249#16811133C2212yes—
250#16811130C2212yes—
251C2×#13133199C2212yes—
252#123×D53C2212yes—
253C2×#13133197C2211yescharacteristic
254C2×#13133197C2212yescomplemented
255C2×#13133196C2212yescomplemented
256C22⋊Q8×D53C2212yes—
257C22⋊Q8×D53C2212yes—
258C22⋊Q8×D53C2211yescharacteristic
259C22⋊Q8×D53C2212yescomplemented
260C2×#13133188C2211yescharacteristic
261#121×D53C2211yescharacteristic
262#16811106C2212yescomplemented
263#16811104C2212yescomplemented
264#16811102C2212yescomplemented
265#16811101C2212yescomplemented
266#16811100C2212yescomplemented
267#16811100C2212yescomplemented
268#16811099C2212yescomplemented
269#16811096C2214yes—
270#16811095C2214yes—
271C2×C4×Dic106C2211yescharacteristic, complemented
272C4×Q8×D53C2212yescomplemented
273C4×Q8×D53C2212yescomplemented
274C4×Q8×D53C2211yescharacteristic, complemented
275C2×C4×C22⋊D53C2212yes—
276C4×D4×D53C2212yes—
277C4×D4×D53C2211yescharacteristic, complemented
278C2×#13133176C2212yescomplemented
279#117×D53C2212yes—
280#117×D53C2212yescomplemented
281C2×C42×D53C2211yescharacteristic
282C53×#556C2211yescharacteristic, complemented
283C53×#554C2212yescomplemented
284C53×#552C2212yescomplemented
285C53×#551C2214yescomplemented
286D4×Q8×C53C2211yescharacteristic, complemented
287C53×#548C2212yescomplemented
288C53×#547C2211yescharacteristic, complemented
289C53×#547C2211yescharacteristic, complemented
290C53×#546C2212yescomplemented
291C53×#542C2212yescomplemented
292C53×#539C2214yescomplemented
293C53×#533C2211yescharacteristic, complemented
294C53×#529C2211yescharacteristic
295C53×#525C2212yes—
296C2×C22⋊Q8×C53C2212yescomplemented
297C53×#520C2212yescomplemented
298C2×C4×D4×C53C2211yescharacteristic, complemented
299C2×#11719945C2312yes—
300C2×#11719947C2312yes—
301C22×Dic106C2312yes—
302C22×Dic106C2312yes—
303C22×Dic106C2311yescharacteristic
304C2×Q8×D53C2312yes—
305C2×Q8×D53C2312yes—
306C2×Q8×D53C2312yes—
307C2×Q8×D53C2311yescharacteristic
308C22×C22⋊D53C2312yes—
309C2×D4×D53C2312yes—
310C2×D4×D53C2311yescharacteristic
311C22×C4×D53C2311yescharacteristic
312C22×C4×D53C2311yescharacteristic
313C22×C4×D53C2311yescharacteristic
314C22×C4×D53C2312yes—
315#13133217C2311yescharacteristic
316#13133217C2311yescharacteristic
317#13133217C2312yes—
318#13133217C2314yes—
319#13133216C2314yes—
320#13133216C2314yes—
321#13133216C2314yes—
322#13133216C2314yes—
323#13133216C2312yes—
324#13133216C2312yes—
325#13133216C2312yes—
326#13133216C2314yes—
327#13133216C2312yes—
328#13133216C2312yes—
329#13133216C2312yes—
330#13133216C2312yes—
331#13133215C2312yes—
332#13133215C2312yes—
333#13133215C2312yes—
334#13133215C2314yes—
335#13133215C2314yes—
336#13133215C2312yes—
337#13133215C2312yes—
338#13133212C2314yes—
339#13133212C2314yes—
340#13133212C2314yes—
341#13133212C2314yes—
342#13133212C2312yes—
343#13133212C2314yes—
344#13133212C2312yes—
345#13133212C2312yes—
346#13133211C2314yes—
347#13133211C2314yes—
348#13133211C2312yes—
349#13133210C2314yes—
350#13133210C2314yes—
351#13133210C2314yes—
352#13133210C2314yes—
353#13133210C2314yes—
354#13133210C2314yes—
355#13133210C2314yes—
356#13133210C2314yes—
357#13133210C2314yes—
358#13133210C2314yes—
359#13133210C2314yes—
360#13133210C2314yes—
361#13133210C2314yes—
362#13133210C2314yes—
363#13133210C2314yes—
364#13133210C2314yes—
365#13133210C2314yes—
366#13133210C2312yes—
367#13133210C2312yes—
368#13133210C2314yes—
369#13133210C2312yes—
370#13133210C2314yes—
371#13133210C2312yes—
372#13133210C2312yes—
373#13133210C2312yes—
374#13133210C2312yes—
375#13133210C2312yes—
376#13133210C2312yes—
377#13133210C2312yes—
378#13133210C2312yes—
379#13133209C2314yes—
380#13133209C2314yes—
381#13133209C2314yes—
382#13133209C2311yescharacteristic
383#13133209C2312yes—
384#13133209C2312yes—
385#13133208C2311yescharacteristic
386#13133208C2314yes—
387#13133208C2314yes—
388#13133208C2312yes—
389#13133208C2311yescharacteristic
390#13133208C2314yes—
391#13133208C2314yes—
392#13133208C2314yes—
393#13133208C2314yes—
394#13133208C2312yes—
395#13133208C2312yes—
396#13133208C2314yes—
397#13133208C2312yes—
398#13133208C2311yescharacteristic
399#13133208C2311yescharacteristic
400#13133208C2312yes—
401#13133208C2312yes—
402#13133208C2311yescharacteristic
403#13133208C2312yes—
404#13133208C2311yescharacteristic
405#13133207C2314yes—
406#13133207C2314yes—
407#13133207C2314yes—
408#13133207C2314yes—
409#13133207C2314yes—
410#13133207C2314yes—
411#13133207C2314yes—
412#13133207C2314yes—
413#13133207C2314yes—
414#13133207C2314yes—
415#13133207C2314yes—
416#13133207C2314yes—
417#13133207C2314yes—
418#13133207C2314yes—
419#13133207C2314yes—
420#13133207C2314yes—
421#13133207C2314yes—
422#13133207C2314yes—
423#13133207C2314yes—
424#13133207C2312yes—
425#13133207C2312yes—
426#13133206C2312yes—
427#13133206C2311yescharacteristic
428#13133205C2311yescharacteristic
429#13133204C2312yes—
430#13133204C2312yes—
431#13133204C2311yescharacteristic
432#13133204C2311yescharacteristic
433#13133204C2314yes—
434#13133204C2314yes—
435#13133204C2314yes—
436#13133204C2312yes—
437#13133204C2311yescharacteristic
438#13133204C2311yescharacteristic
439#13133204C2311yescharacteristic
440#13133204C2312yes—
441#13133203C2314yes—
442#13133203C2314yes—
443#13133203C2314yes—
444#13133203C2314yes—
445#13133203C2312yes—
446#13133203C2312yes—
447#13133202C2312yes—
448#13133202C2312yes—
449#13133201C2314yes—
450#13133201C2312yes—
451#13133201C2314yes—
452#13133200C2312yes—
453#13133200C2314yes—
454#13133200C2314yes—
455#13133200C2314yes—
456#13133200C2314yes—
457#13133199C2314yes—
458#13133199C2314yes—
459#13133199C2312yes—
460#13133199C2314yes—
461#13133199C2314yes—
462#13133199C2312yes—
463#13133199C2314yes—
464#13133199C2314yes—
465#13133199C2312yes—
466#13133199C2314yes—
467#13133199C2312yes—
468#13133199C2312yes—
469#13133199C2312yes—
470#13133199C2312yes—
471#13133199C2312yes—
472#13133199C2312yes—
473#13133199C2312yes—
474#13133198C2314yes—
475#13133198C2314yes—
476#13133198C2314yes—
477#13133198C2314yes—
478#13133198C2312yes—
479#13133198C2314yes—
480#13133198C2314yes—
481#13133198C2314yes—
482#13133197C2312yes—
483#13133197C2312yes—
484#13133197C2312yes—
485#13133197C2311yescharacteristic
486#13133197C2311yescharacteristic
487#13133197C2311yescharacteristic
488#13133197C2314yes—
489#13133197C2314yes—
490#13133197C2314yes—
491#13133197C2314yes—
492#13133197C2312yes—
493#13133197C2312yes—
494#13133197C2311yescharacteristic
495#13133197C2311yescharacteristic
496#13133197C2312yes—
497#13133196C2312yes—
498#13133196C2312yes—
499#13133196C2312yes—
500#13133196C2312yes—
501#13133196C2312yes—
502#13133196C2314yes—
503#13133196C2314yes—
504#13133196C2314yes—
505#13133196C2312yes—
506#13133196C2314yes—
507#13133196C2314yes—
508#13133196C2314yes—
509#13133196C2314yes—
510#13133196C2314yes—
511#13133196C2314yes—
512#13133196C2314yes—
513#13133196C2314yes—
514#13133196C2311yescharacteristic
515#13133196C2312yes—
516#13133195C2314yes—
517#13133195C2314yes—
518#13133195C2314yes—
519#13133195C2314yes—
520#13133195C2314yes—
521#13133195C2314yes—
522#13133195C2314yes—
523#13133195C2314yes—
524#13133195C2314yes—
525#13133195C2312yes—
526#13133195C2314yes—
527#13133194C2314yes—
528#13133194C2314yes—
529#13133194C2314yes—
530#13133194C2314yes—
531#13133194C2314yes—
532#13133194C2314yes—
533#13133194C2314yes—
534#13133194C2314yes—
535#13133194C2314yes—
536#13133194C2314yes—
537#13133194C2314yes—
538#13133194C2314yes—
539#13133194C2314yes—
540#13133194C2314yes—
541#13133194C2312yes—
542#13133194C2314yes—
543#13133193C2312yes—
544#13133193C2311yescharacteristic
545#13133193C2314yes—
546#13133193C2312yes—
547#13133193C2314yes—
548#13133193C2314yes—
549#13133193C2314yes—
550#13133193C2312yes—
551#13133192C2311yescharacteristic
552#13133191C2312yes—
553#13133191C2311yescharacteristic
554#13133190C2314yes—
555#13133190C2314yes—
556#13133190C2312yes—
557#13133189C2314yes—
558#13133189C2314yes—
559#13133189C2312yes—
560#13133188C2312yes—
561#13133188C2314yes—
562#13133188C2311yescharacteristic
563#13133188C2311yescharacteristic
564#13133188C2314yes—
565#13133188C2314yes—
566#13133188C2311yescharacteristic
567#13133188C2312yes—
568#13133188C2311yescharacteristic
569#13133188C2311yescharacteristic
570#13133188C2312yes—
571#13133186C2314yes—
572#13133185C2314yes—
573#13133185C2314yes—
574Q8×Dic53C2312yes—
575Q8×Dic53C2312yes—
576Q8×Dic53C2312yes—
577Q8×Dic53C2312yes—
578Q8×Dic53C2312yes—
579Q8×Dic53C2314yes—
580Q8×Dic53C2314yes—
581Q8×Dic53C2311yescharacteristic
582Q8×Dic53C2312yes—
583C4×Dic106C2312yes—
584C4×Dic106C2312yes—
585C4×Dic106C2311yescharacteristic
586C4×Dic106C2312yes—
587C4×Dic106C2311yescharacteristic
588C4×Dic106C2311yescharacteristic
589C4×Dic106C2314yes—
590C4×Dic106C2314yes—
591C4×Dic106C2314yes—
592C4×Dic106C2314yes—
593C4×Dic106C2312yes—
594C4×Dic106C2312yes—
595C4×Dic106C2314yes—
596C4×Dic106C2312yes—
597C4×Dic106C2311yescharacteristic
598C4×Dic106C2311yescharacteristic
599C4×Dic106C2312yes—
600#13133182C2312yes—
601#13133182C2312yes—
602#13133182C2312yes—
603#13133182C2312yes—
604#13133182C2312yes—
605#13133182C2312yes—
606#13133182C2314yes—
607#13133182C2314yes—
608#13133182C2314yes—
609#13133182C2314yes—
610#13133182C2311yescharacteristic
611#13133182C2312yes—
612#13133182C2312yes—
613#13133182C2314yes—
614C4×D212C2311yescharacteristic
615C4×D212C2312yes—
616C4×D212C2314yes—
617D4×Dic53C2312yes—
618D4×Dic53C2314yes—
619D4×Dic53C2314yes—
620D4×Dic53C2312yes—
621D4×Dic53C2312yes—
622D4×Dic53C2314yes—
623D4×Dic53C2311yescharacteristic
624#13133179C2312yes—
625#13133179C2314yes—
626#13133179C2312yes—
627#13133179C2311yescharacteristic
628C4×C22⋊D53C2312yes—
629C4×C22⋊D53C2312yes—
630C4×C22⋊D53C2312yes—
631C4×C22⋊D53C2312yes—
632C4×C22⋊D53C2312yes—
633C4×C22⋊D53C2314yes—
634C4×C22⋊D53C2314yes—
635C4×C22⋊D53C2314yes—
636C4×C22⋊D53C2312yes—
637C4×C22⋊D53C2312yes—
638C4×C22⋊D53C2314yes—
639C4×C22⋊D53C2314yes—
640C4×C22⋊D53C2314yes—
641C4×C22⋊D53C2314yes—
642C4×C22⋊D53C2312yes—
643C4×C22⋊D53C2314yes—
644C4×C22⋊D53C2314yes—
645C4×C22⋊D53C2312yes—
646C4×C22⋊D53C2312yes—
647C4×C22⋊D53C2312yes—
648#13133177C2314yes—
649#13133177C2314yes—
650#13133177C2314yes—
651#13133177C2314yes—
652#13133177C2314yes—
653#13133177C2314yes—
654#13133177C2314yes—
655#13133177C2312yes—
656#13133177C2312yes—
657#13133177C2312yes—
658#13133176C2314yes—
659#13133176C2312yes—
660#13133176C2314yes—
661#13133176C2314yes—
662#13133176C2312yes—
663#13133176C2312yes—
664#13133176C2312yes—
665#13133176C2312yes—
666#13133176C2312yes—
667#13133176C2312yes—
668#13133176C2312yes—
669#13133176C2312yes—
670#13133176C2312yes—
671#13133176C2312yes—
672#13133176C2312yes—
673#13133175C2312yes—
674#13133175C2312yes—
675#13133175C2314yes—
676#13133175C2314yes—
677#13133175C2314yes—
678#13133175C2312yes—
679#13133175C2312yes—
680#13133175C2312yes—
681#13133174C2314yes—
682#13133174C2314yes—
683#13133174C2314yes—
684#13133174C2312yes—
685#13133174C2312yes—
686#13133173C2314yes—
687#13133173C2314yes—
688#13133173C2314yes—
689#13133173C2314yes—
690#13133173C2314yes—
691#13133173C2314yes—
692#13133173C2314yes—
693#13133173C2314yes—
694#13133173C2312yes—
695#13133173C2312yes—
696C2×C4⋊Dic53C2312yes—
697C2×C4⋊Dic53C2312yes—
698C2×C4⋊Dic53C2311yescharacteristic
699C2×C4⋊Dic53C2314yes—
700C2×C4⋊Dic53C2312yes—
701C2×#11719919C2312yes—
702C2×#11719919C2314yes—
703C2×#11719919C2312yes—
704C4⋊C4×D53C2312yes—
705C4⋊C4×D53C2312yes—
706C4⋊C4×D53C2311yescharacteristic
707C4⋊C4×D53C2314yes—
708C4⋊C4×D53C2312yes—
709C4⋊C4×D53C2312yes—
710C4⋊C4×D53C2314yes—
711C4⋊C4×D53C2314yes—
712C4⋊C4×D53C2312yes—
713C4⋊C4×D53C2312yes—
714C4⋊C4×D53C2311yescharacteristic
715C4⋊C4×D53C2312yes—
716C4⋊C4×D53C2312yes—
717C4⋊C4×D53C2312yes—
718C2×C22⋊Dic53C2314yes—
719C2×C22⋊Dic53C2312yes—
720C2×C22⋊Dic53C2312yes—
721C2×C22⋊Dic53C2312yes—
722C2×#11719921C2314yes—
723C2×#11719921C2312yes—
724C22⋊C4×D53C2314yes—
725C22⋊C4×D53C2312yes—
726C22⋊C4×D53C2312yes—
727C22⋊C4×D53C2312yes—
728C22⋊C4×D53C2314yes—
729C22⋊C4×D53C2312yes—
730C22⋊C4×D53C2312yes—
731C2×C4×Dic53C2311yescharacteristic
732C2×C4×Dic53C2311yescharacteristic
733C2×C4×Dic53C2311yescharacteristic
734C2×C4×Dic53C2312yes—
735C42×D53C2311yescharacteristic
736C42×D53C2311yescharacteristic
737C42×D53C2311yescharacteristic
738C42×D53C2311yescharacteristic
739C42×D53C2311yescharacteristic
740C42×D53C2311yescharacteristic
741C42×D53C2311yescharacteristic
742C42×D53C2311yescharacteristic
743C42×D53C2314yes—
744C42×D53C2312yes—
745C2×#41×C53C2312yes—
746C2×#41×C53C2312yes—
747C22×Q8×C53C2312yes—
748C22×D4×C53C2311yescharacteristic
749C23×C4×C53C2312yes—
750C4⋊Q8×C53C2311yescharacteristic
751C4⋊Q8×C53C2311yescharacteristic
752C4⋊Q8×C53C2312yes—
753#126×C53C2312yes—
754#126×C53C2314yes—
755#126×C53C2314yes—
756#125×C53C2311yescharacteristic
757#125×C53C2312yes—
758#125×C53C2314yes—
759#124×C53C2312yes—
760#124×C53C2314yes—
761#124×C53C2311yescharacteristic
762#123×C53C2314yes—
763#123×C53C2314yes—
764#123×C53C2314yes—
765#123×C53C2312yes—
766#123×C53C2314yes—
767C22⋊Q8×C53C2312yes—
768C22⋊Q8×C53C2312yes—
769C22⋊Q8×C53C2312yes—
770C22⋊Q8×C53C2312yes—
771C22⋊Q8×C53C2312yes—
772C22⋊Q8×C53C2311yescharacteristic
773C22⋊Q8×C53C2312yes—
774C22⋊Q8×C53C2314yes—
775C22⋊Q8×C53C2314yes—
776C22⋊Q8×C53C2314yes—
777C22⋊Q8×C53C2314yes—
778#121×C53C2312yes—
779#121×C53C2312yes—
780#121×C53C2311yescharacteristic
781#121×C53C2314yes—
782#120×C53C2314yes—
783C4×Q8×C53C2312yes—
784C4×Q8×C53C2312yes—
785C4×Q8×C53C2311yescharacteristic
786C4×Q8×C53C2312yes—
787C4×D4×C53C2311yescharacteristic
788C4×D4×C53C2311yescharacteristic
789C4×D4×C53C2312yes—
790C4×D4×C53C2312yes—
791C4×D4×C53C2311yescharacteristic
792C4×D4×C53C2311yescharacteristic
793C4×D4×C53C2312yes—
794C4×D4×C53C2311yescharacteristic
795C4×D4×C53C2314yes—
796C4×D4×C53C2314yes—
797C4×D4×C53C2312yes—
798C4×D4×C53C2314yes—
799#117×C53C2312yes—
800#117×C53C2314yes—
801#117×C53C2312yes—
802#117×C53C2312yes—
803C2×C4⋊C4×C53C2311yescharacteristic
804C2×C4⋊C4×C53C2314yes—
805C2×C4⋊C4×C53C2312yes—
806C2×C4⋊C4×C53C2312yes—
807C2×C22⋊C4×C53C2312yes—
808C2×C22⋊C4×C53C2314yes—
809C2×C42×C53C2311yescharacteristic
810C24×C53C2412yes—
811C23×D53C2412yes—
812C23×D53C2411yescharacteristic
813#41×C53—44no—
814#41×C53—44no—
815C2×Q8×C53—44no—
816C2×Q8×C53C2412yes—
817C2×Q8×C53C2411yescharacteristic
818C2×Q8×C53C2412yes—
819C2×Q8×C53C2414yes—
820C2×D4×C53—42no—
821C2×D4×C53C2411yescharacteristic
822C2×D4×C53C2412yes—
823C2×D4×C53C2411yescharacteristic
824C2×D4×C53C2411yescharacteristic
825C2×D4×C53C2414yes—
826C2×D4×C53C2412yes—
827C2×D4×C53C2414yes—
828C22×C4×C53—44no—
829C22×C4×C53C2411yescharacteristic
830C22×C4×C53C2411yescharacteristic
831C22×C4×C53C2411yescharacteristic
832C22×C4×C53C2412yes—
833C22×C4×C53C2412yes—
834C22×C4×C53C2412yes—
835C22×C4×C53C2414yes—
836C22×C4×C53C2414yes—
837C22×C4×C53C2412yes—
838C22×C4×C53C2412yes—
839C22×C4×C53C2414yes—
840C22×C4×C53C2412yes—
841C2×C22⋊D53—28no—
842C2×C22⋊D53C2412yes—
843C2×C22⋊D53C2412yes—
844C2×C22⋊D53C2412yes—
845C2×C22⋊D53C2412yes—
846C2×C22⋊D53C2412yes—
847C2×C22⋊D53C2412yes—
848C2×C22⋊D53C2414yes—
849C2×C22⋊D53C2412yes—
850C2×C22⋊D53C2414yes—
851C22×Dic53C2411yescharacteristic
852C22×Dic53C2412yes—
853C22×Dic53C2411yescharacteristic
854C22×Dic53C2411yescharacteristic
855C22×Dic53C2412yes—
856C22×Dic53C2414yes—
857C22×Dic53C2414yes—
858C22×Dic53C2414yes—
859C22×Dic53C2412yes—
860Q8×D53—42no—
861Q8×D53—44no—
862Q8×D53—44no—
863Q8×D53—44no—
864#11719947—44no—
865D4×D53—28no—
866D4×D53—42no—
867#11719945—44no—
868C2×D212C2412yes—
869C2×D212C2411yescharacteristic
870C2×C4×D53—24no—
871C2×C4×D53—44no—
872C2×C4×D53—42no—
873C2×C4×D53—42no—
874C2×C4×D53C2411yescharacteristic
875C2×C4×D53C2411yescharacteristic
876C2×C4×D53C2411yescharacteristic
877C2×C4×D53C2411yescharacteristic
878C2×C4×D53C2411yescharacteristic
879C2×C4×D53C2411yescharacteristic
880C2×C4×D53C2411yescharacteristic
881C2×C4×D53C2411yescharacteristic
882C2×C4×D53C2412yes—
883C2×C4×D53C2412yes—
884C2×C4×D53C2411yescharacteristic
885C2×C4×D53C2411yescharacteristic
886C2×C4×D53C2411yescharacteristic
887C2×C4×D53C2411yescharacteristic
888C2×C4×D53C2412yes—
889C2×C4×D53C2414yes—
890C2×C4×D53C2414yes—
891C2×C4×D53C2412yes—
892C2×C4×D53C2414yes—
893C2×C4×D53C2414yes—
894C2×C4×D53C2412yes—
895C2×Dic106—44no—
896C2×Dic106—42no—
897C2×Dic106—44no—
898C2×Dic106C2411yescharacteristic
899C2×Dic106C2412yes—
900C2×Dic106C2411yescharacteristic
901C2×Dic106C2412yes—
902C2×Dic106C2411yescharacteristic
903C2×Dic106C2414yes—
904C2×Dic106C2414yes—
905C2×Dic106C2412yes—
906C2×Dic106C2414yes—
907C2×Dic106C2414yes—
908C2×Dic106C2412yes—
909C2×Dic106C2414yes—
910C4⋊C4×C53C2411yescharacteristic
911C4⋊C4×C53C2412yes—
912C4⋊C4×C53C2414yes—
913C4⋊C4×C53C2411yescharacteristic
914C4⋊C4×C53C2412yes—
915C4⋊C4×C53C2412yes—
916C4⋊C4×C53C2411yescharacteristic
917C4⋊C4×C53C2412yes—
918C4⋊C4×C53C2414yes—
919C4⋊C4×C53C2414yes—
920C4⋊C4×C53C2414yes—
921C4⋊C4×C53C2412yes—
922C4⋊C4×C53C2411yescharacteristic
923C4⋊C4×C53C2412yes—
924C4⋊C4×C53C2412yes—
925C4⋊C4×C53C2414yes—
926C4⋊C4×C53C2412yes—
927C4⋊C4×C53C2414yes—
928C4⋊C4×C53C2412yes—
929C22⋊C4×C53C2412yes—
930C22⋊C4×C53C2412yes—
931C22⋊C4×C53C2414yes—
932C22⋊C4×C53C2412yes—
933C22⋊C4×C53C2412yes—
934C22⋊C4×C53C2412yes—
935C22⋊C4×C53C2414yes—
936C22⋊C4×C53C2414yes—
937C22⋊C4×C53C2414yes—
938C22⋊C4×C53C2412yes—
939C22⋊C4×C53C2412yes—
940C22⋊C4×C53C2414yes—
941C22⋊C4×C53C2412yes—
942C22⋊C4×C53C2414yes—
943C22⋊C4×C53C2412yes—
944C42×C53C2411yescharacteristic
945C42×C53C2411yescharacteristic
946C42×C53C2411yescharacteristic
947C42×C53C2411yescharacteristic
948C42×C53C2414yes—
949C42×C53C2414yes—
950C42×C53C2412yes—
951C22⋊Dic53C2412yes—
952C22⋊Dic53C2414yes—
953C22⋊Dic53C2412yes—
954C22⋊Dic53C2412yes—
955C22⋊Dic53C2412yes—
956C22⋊Dic53C2414yes—
957C22⋊Dic53C2412yes—
958C22⋊Dic53C2412yes—
959C22⋊Dic53C2412yes—
960C22⋊Dic53C2412yes—
961C22⋊Dic53C2412yes—
962C22⋊Dic53C2412yes—
963C22⋊Dic53C2412yes—
964C22⋊Dic53C2412yes—
965C22⋊Dic53C2412yes—
966C22⋊Dic53C2412yes—
967C22⋊Dic53C2414yes—
968C22⋊Dic53C2412yes—
969C22⋊Dic53C2414yes—
970C22⋊Dic53C2412yes—
971C22⋊Dic53C2412yes—
972C22⋊Dic53C2414yes—
973C22⋊Dic53C2414yes—
974C22⋊Dic53C2414yes—
975C22⋊Dic53C2414yes—
976#11719921C2412yes—
977#11719921C2414yes—
978#11719921C2414yes—
979#11719921C2412yes—
980#11719921C2412yes—
981#11719921C2412yes—
982#11719921C2412yes—
983#11719921C2412yes—
984#11719921C2412yes—
985#11719921C2412yes—
986#11719921C2412yes—
987#11719921C2412yes—
988#11719921C2412yes—
989#11719921C2412yes—
990#11719921C2412yes—
991#11719921C2414yes—
992#11719921C2412yes—
993#11719921C2414yes—
994#11719921C2414yes—
995#11719921C2414yes—
996C4⋊Dic53C2412yes—
997C4⋊Dic53C2412yes—
998C4⋊Dic53C2411yescharacteristic
999C4⋊Dic53C2412yes—
1000C4⋊Dic53C2414yes—
1001C4⋊Dic53C2412yes—
1002C4⋊Dic53C2412yes—
1003C4⋊Dic53C2412yes—
1004C4⋊Dic53C2412yes—
1005C4⋊Dic53C2411yescharacteristic
1006C4⋊Dic53C2412yes—
1007C4⋊Dic53C2412yes—
1008C4⋊Dic53C2414yes—
1009C4⋊Dic53C2412yes—
1010C4⋊Dic53C2414yes—
1011C4⋊Dic53C2412yes—
1012C4⋊Dic53C2411yescharacteristic
1013C4⋊Dic53C2412yes—
1014C4⋊Dic53C2411yescharacteristic
1015C4⋊Dic53C2412yes—
1016C4⋊Dic53C2412yes—
1017C4⋊Dic53C2412yes—
1018C4⋊Dic53C2412yes—
1019C4⋊Dic53C2414yes—
1020C4⋊Dic53C2412yes—
1021C4⋊Dic53C2414yes—
1022C4⋊Dic53C2414yes—
1023C4⋊Dic53C2414yes—
1024C4⋊Dic53C2414yes—
1025#11719919C2414yes—
1026#11719919C2412yes—
1027#11719919C2414yes—
1028#11719919C2414yes—
1029#11719919C2412yes—
1030#11719919C2412yes—
1031#11719919C2412yes—
1032#11719919C2414yes—
1033#11719919C2412yes—
1034#11719919C2414yes—
1035#11719919C2412yes—
1036#11719919C2412yes—
1037#11719919C2412yes—
1038#11719919C2414yes—
1039#11719919C2412yes—
1040#11719919C2414yes—
1041#11719919C2414yes—
1042#11719919C2414yes—
1043#11719919C2414yes—
1044#11719919C2412yes—
1045#11719919C2412yes—
1046#11719919C2412yes—
1047#11719919C2414yes—
1048#11719919C2412yes—
1049#11719919C2412yes—
1050#11719919C2412yes—
1051#11719919C2412yes—
1052#11719919C2412yes—
1053#11719919C2412yes—
1054#11719919C2414yes—
1055#11719919C2414yes—
1056#11719919C2414yes—
1057#11719919C2414yes—
1058#11719919C2414yes—
1059#11719919C2414yes—
1060#11719919C2414yes—
1061#11719919C2414yes—
1062#11719919C2414yes—
1063#11719919C2414yes—
1064#11719919C2414yes—
1065C4×Dic53C2411yescharacteristic
1066C4×Dic53C2411yescharacteristic
1067C4×Dic53C2411yescharacteristic
1068C4×Dic53C2411yescharacteristic
1069C4×Dic53C2411yescharacteristic
1070C4×Dic53C2411yescharacteristic
1071C4×Dic53C2411yescharacteristic
1072C4×Dic53C2411yescharacteristic
1073C4×Dic53C2411yescharacteristic
1074C4×Dic53C2411yescharacteristic
1075C4×Dic53C2411yescharacteristic
1076C4×Dic53C2411yescharacteristic
1077C4×Dic53C2412yes—
1078C4×Dic53C2414yes—
1079C4×Dic53C2414yes—
1080C4×Dic53C2412yes—
1081C4×Dic53C2414yes—
1082C4×Dic53C2412yes—
1083C4×Dic53C2412yes—
1084C4×Dic53C2412yes—
1085C4×Dic53C2412yes—
1086C4×Dic53C2412yes—
1087C4×Dic53C2414yes—
1088C4×Dic53C2414yes—
1089C4×Dic53C2414yes—
1090C4×Dic53C2414yes—
1091C4×Dic53C2414yes—
1092C4×Dic53C2414yes—
1093C4×Dic53C2414yes—
1094C23×C53—24no—
1095C23×C53—42no—
1096C23×C53—42no—
1097C23×C53C2512yes—
1098C23×C53C2512yes—
1099C23×C53C2512yes—
1100C23×C53C2511yescharacteristic
1101C22×D53—24no—
1102C22×D53—41no—
1103C22×D53—41no—
1104C22×D53—42no—
1105C22×D53—42no—
1106C22×D532−1+414yes—
1107C22×D53C2512yes—
1108C22×D53C2511yescharacteristic
1109C22×D53C2511yescharacteristic
1110Q8×C53—24no—
1111Q8×C53—22no—
1112Q8×C53—24no—
1113Q8×C53—44no—
1114D4×C53—24no—
1115D4×C53—22no—
1116D4×C53—22no—
1117D4×C53—22no—
1118D4×C53—42no—
1119D4×C53—44no—
1120D4×C53—44no—
1121C2×C4×C53—22no—
1122C2×C4×C53—22no—
1123C2×C4×C53—24no—
1124C2×C4×C53—24no—
1125C2×C4×C53—22no—
1126C2×C4×C53—24no—
1127C2×C4×C53—42no—
1128C2×C4×C53—42no—
1129C2×C4×C53—42no—
1130C2×C4×C53—44no—
1131C2×C4×C53—44no—
1132C2×C4×C53—44no—
1133C2×C4×C53C2512yes—
1134C2×C4×C53C2511yescharacteristic
1135C2×C4×C53C2514yes—
1136C2×C4×C53C2512yes—
1137C2×C4×C53C2514yes—
1138C2×C4×C53C2512yes—
1139C2×C4×C53C2511yescharacteristic
1140C2×C4×C53C2512yes—
1141C2×C4×C53C2511yescharacteristic
1142C2×C4×C53C2511yescharacteristic
1143C2×C4×C53C2512yes—
1144C2×C4×C53C2511yescharacteristic
1145C2×C4×C53C2511yescharacteristic
1146C22⋊D53—24no—
1147C22⋊D53—24no—
1148C22⋊D53—24no—
1149C22⋊D53—24no—
1150C22⋊D53—24no—
1151C22⋊D53—24no—
1152C22⋊D53—44no—
1153C22⋊D53—42no—
1154C22⋊D53—44no—
1155C2×Dic53—22no—
1156C2×Dic53—24no—
1157C2×Dic53—42no—
1158C2×Dic53—44no—
1159C2×Dic53—44no—
1160C2×Dic53—41no—
1161C2×Dic53—41no—
1162C2×Dic53—42no—
1163C2×Dic53—44no—
1164C2×Dic53C2511yescharacteristic
1165C2×Dic53C2512yes—
1166C2×Dic53C2511yescharacteristic
1167C2×Dic53C2512yes—
1168C2×Dic53C2512yes—
1169C2×Dic53C2514yes—
1170C2×Dic53C2514yes—
1171C2×Dic53C2512yes—
1172C2×Dic53C2511yescharacteristic
1173C2×Dic53C2511yescharacteristic
1174C2×Dic53C2511yescharacteristic
1175C2×Dic53C2511yescharacteristic
1176C2×Dic53C2512yes—
1177C2×Dic53C2512yes—
1178C2×Dic53C2512yes—
1179D212—24no—
1180D212—22no—
1181C4×D53—22no—
1182C4×D53—22no—
1183C4×D53—22no—
1184C4×D53—22no—
1185C4×D53—24no—
1186C4×D53—22no—
1187C4×D53—22no—
1188C4×D53—24no—
1189C4×D53—22no—
1190C4×D53—22no—
1191C4×D53—41no—
1192C4×D53—41no—
1193C4×D53—42no—
1194C4×D53—41no—
1195C4×D53—42no—
1196C4×D53—41no—
1197C4×D53—44no—
1198C4×D53—44no—
1199C4×D53—42no—
1200C4×D53—44no—
1201C4×D53—44no—
1202Dic106—22no—
1203Dic106—22no—
1204Dic106—24no—
1205Dic106—24no—
1206Dic106—22no—
1207Dic106—42no—
1208Dic106—44no—
1209Dic106—44no—
1210Dic106—44no—
1211Dic106—42no—
1212Dic106—44no—
1213Dic106—44no—
1214#62823—531nomaximal, Sylow
1215C22×C53—21no—
1216C22×C53—21no—
1217C22×C53—22no—
1218C22×C53—22no—
1219C22×C53—22no—
1220C22×C53—22no—
1221C22×C53—22no—
1222C22×C53—22no—
1223C22×C53—22no—
1224C22×C53—22no—
1225C22×C53—22no—
1226C22×C53—84no—
1227C22×C53C2×2−1+412yes—
1228C22×C53C2611yescharacteristic
1229C2×D53—21no—
1230C2×D53—21no—
1231C2×D53—21no—
1232C2×D53—21no—
1233C2×D53—22no—
1234C2×D53—22no—
1235C2×D53—22no—
1236C2×D53—44no—
1237C2×D53—84no—
1238C2×D53C2×2−1+412yes—
1239C2×D53C2×2−1+412yes—
1240C4×C53—21no—
1241C4×C53—21no—
1242C4×C53—22no—
1243C4×C53—22no—
1244C4×C53—21no—
1245C4×C53—24no—
1246C4×C53—22no—
1247C4×C53—24no—
1248C4×C53—22no—
1249C4×C53—21no—
1250C4×C53—22no—
1251C4×C53#58512yes—
1252C4×C53#58512yes—
1253Dic53—21no—
1254Dic53—21no—
1255Dic53—22no—
1256Dic53—22no—
1257Dic53—22no—
1258Dic53—22no—
1259Dic53—22no—
1260Dic53—22no—
1261Dic53—24no—
1262Dic53—24no—
1263Dic53—21no—
1264Dic53—21no—
1265Dic53—22no—
1266Dic53—21no—
1267Dic53—21no—
1268#3564—534no—
1269#3564—534no—
1270#3563—532no—
1271#3563—532no—
1272#3561—532no—
1273#3561—532no—
1274#3553—534no—
1275#3552—531no—
1276#3552—531no—
1277#3552—531no—
1278#3552—531no—
1279#3523—531no—
1280#3523—531no—
1281#3523—531no—
1282#3523—531no—
1283#3520—531no—
1284#3520—531no—
1285#3520—531no—
1286#3520D5311yescharacteristic, complemented
1287#3516—532no—
1288#3516—532no—
1289#3516—532no—
1290#3516—532no—
1291#3505—532no—
1292#3505—532no—
1293#3501—532no—
1294#3501—532no—
1295#3495—532no—
1296#3495—532no—
1297#3495—532no—
1298#3495—532no—
1299#3491—534no—
1300C2×#533—531no—
1301C2×#529—531no—
1302C2×#529—531no—
1303C2×C53—22no—
1304C2×C53—42no—
1305C2×C53—42no—
1306C2×C53—42no—
1307C2×C53C22×2−1+411yescharacteristic
1308C2×C53C2×#58511yescharacteristic
1309C2×C53C2×#58511yescharacteristic
1310D53—22no—
1311D53—22no—
1312D53—42no—
1313#564—534no—
1314#563—534no—
1315#563—534no—
1316#563—534no—
1317#563—534no—
1318#563—534no—
1319#563—534no—
1320#562—534no—
1321#557—532no—
1322#557—531no—
1323#557—531no—
1324#557—532no—
1325#557—532no—
1326#557—532no—
1327#557—531no—
1328#557—531no—
1329#556—531no—
1330#556—534no—
1331#556—532no—
1332#556—532no—
1333#556—534no—
1334#556—532no—
1335#556—534no—
1336#556—532no—
1337#556—531no—
1338#556—531no—
1339#556—534no—
1340#556C2×D5311yescharacteristic, complemented
1341#554—532no—
1342#554—534no—
1343#554—534no—
1344#554—534no—
1345#554—534no—
1346#554—532no—
1347#554—534no—
1348#554—532no—
1349#554—534no—
1350#554—534no—
1351#554—532no—
1352#554—532no—
1353#554—534no—
1354#554—532no—
1355#554—532no—
1356#554C2×D5312yescomplemented
1357#553—534no—
1358#553—534no—
1359#553—532no—
1360#553—532no—
1361#553—534no—
1362#553—532no—
1363#553—534no—
1364#553—532no—
1365#552—534no—
1366#552—534no—
1367#552—534no—
1368#552—534no—
1369#552—534no—
1370#552—534no—
1371#552—534no—
1372#552—534no—
1373#552—532no—
1374#552—532no—
1375#552—534no—
1376#552—532no—
1377#552—534no—
1378#552—534no—
1379#552—534no—
1380#552—532no—
1381#552—532no—
1382#552—534no—
1383#552—534no—
1384#552—532no—
1385#552—534no—
1386#552—534no—
1387#552—532no—
1388#552C2×D5312yescomplemented
1389#551—534no—
1390#551—534no—
1391#551—534no—
1392#551—534no—
1393#551—534no—
1394#551—534no—
1395#551—534no—
1396#551—534no—
1397#551—534no—
1398#551—534no—
1399#551—534no—
1400#551C2×D5314yescomplemented
1401D4×Q8—532no—
1402D4×Q8—532no—
1403D4×Q8—531no—
1404D4×Q8—532no—
1405D4×Q8—532no—
1406D4×Q8—532no—
1407D4×Q8—532no—
1408D4×Q8—532no—
1409D4×Q8—532no—
1410D4×Q8—531no—
1411D4×Q8—531no—
1412D4×Q8C2×D5311yescharacteristic, complemented
1413#548—532no—
1414#548—532no—
1415#548—532no—
1416#548—532no—
1417#548—532no—
1418#548—532no—
1419#548—532no—
1420#548C2×D5312yescomplemented
1421#547—531no—
1422#547—531no—
1423#547C2×D5311yescharacteristic, complemented
1424#547C2×D5311yescharacteristic, complemented
1425#546—532no—
1426#546—532no—
1427#546—532no—
1428#546C2×D5312yescomplemented
1429#544—532no—
1430#544—534no—
1431#544—534no—
1432#544—532no—
1433#544—532no—
1434#544—532no—
1435#543—534no—
1436#543—534no—
1437#543—534no—
1438#542—534no—
1439#542—534no—
1440#542—532no—
1441#542—532no—
1442#542—532no—
1443#542—532no—
1444#542—532no—
1445#542—534no—
1446#542—532no—
1447#542—532no—
1448#542—534no—
1449#542C2×D5312yescomplemented
1450#541—534no—
1451#541—534no—
1452#541—534no—
1453#541—534no—
1454#541—534no—
1455#541—532no—
1456#541—532no—
1457#541—532no—
1458#541—532no—
1459#541—532no—
1460#541—534no—
1461#541—534no—
1462#541—532no—
1463#541—532no—
1464#541—532no—
1465#541—534no—
1466#539—534no—
1467#539—534no—
1468#539—534no—
1469#539—534no—
1470#539—534no—
1471#539—534no—
1472#539—534no—
1473#539—534no—
1474#539—534no—
1475#539C2×D5314yescomplemented
1476#538—534no—
1477#538—534no—
1478#536—532no—
1479#536—532no—
1480#536—532no—
1481#536—532no—
1482#534—534no—
1483#533—531no—
1484#533—531no—
1485#533—532no—
1486#533—532no—
1487#533—532no—
1488#533—532no—
1489#533—532no—
1490#533—532no—
1491#533—532no—
1492#533—532no—
1493#533—532no—
1494#533—532no—
1495#533—531no—
1496#533C2×D5311yescharacteristic, complemented
1497C2×C4⋊Q8—531no—
1498C2×C4⋊Q8—531no—
1499#529—532no—
1500#529—534no—
1501#529—531no—
1502#529—531no—
1503#529—532no—
1504#529—534no—
1505#529—532no—
1506#529—531no—
1507#529—532no—
1508#529—531no—
1509#529—532no—
1510#529—531no—
1511#529—532no—
1512#529—531no—
1513#529—531no—
1514#529—531no—
1515#529—531no—
1516#529—532no—
1517#529—532no—
1518#529—532no—
1519#529—531no—
1520#529—531no—
1521#529—531no—
1522#529—531no—
1523#529—531no—
1524#529—532no—
1525#529—532no—
1526#529—534no—
1527#529—532no—
1528#529—534no—
1529#529—531no—
1530#529C2×D5311yescharacteristic
1531C2×#126—532no—
1532C2×#126—532no—
1533C2×#125—531no—
1534C2×#125—532no—
1535C2×#125—531no—
1536C2×#124—531no—
1537C2×#124—531no—
1538#525—532no—
1539#525—532no—
1540#525—532no—
1541#525C2×D5312yes—
1542C2×#123—532no—
1543C2×#123—532no—
1544C2×C22⋊Q8—532no—
1545C2×C22⋊Q8—531no—
1546C2×C22⋊Q8—532no—
1547C2×C22⋊Q8—532no—
1548C2×C22⋊Q8—532no—
1549C2×C22⋊Q8—531no—
1550C2×C22⋊Q8—532no—
1551C2×C22⋊Q8C2×D5312yescomplemented
1552C2×#121—531no—
1553C2×#121—531no—
1554#520—532no—
1555#520—532no—
1556#520—532no—
1557#520C2×D5312yescomplemented
1558#519—532no—
1559#519—532no—
1560#519—532no—
1561#519—532no—
1562#518—534no—
1563#518—534no—
1564C2×C4×Q8—531no—
1565C2×C4×Q8—532no—
1566C2×C4×Q8—532no—
1567C2×C4×Q8—531no—
1568C2×C4×D4—532no—
1569C2×C4×D4—532no—
1570C2×C4×D4—531no—
1571C2×C4×D4C2×D5311yescharacteristic, complemented
1572C2×#117—532no—
1573C2×#117—532no—
1574C2×#117—532no—
1575C22×C42—531no—
1576C53#6282311yescharacteristic, complemented, Sylow
1577C2×#41—532no—
1578C2×#41—532no—
1579C2×#41C22×D5312yes—
1580C2×#41C22×D5312yes—
1581C22×Q8—531no—
1582C22×Q8—532no—
1583C22×Q8—532no—
1584C22×Q8—532no—
1585C22×Q8—531no—
1586C22×Q8—532no—
1587C22×Q8—532no—
1588C22×Q8C22×D5312yes—
1589C22×D4—532no—
1590C22×D4—532no—
1591C22×D4—531no—
1592C22×D4C22×D5311yescharacteristic
1593C23×C4—531no—
1594C23×C4—532no—
1595C23×C4—531no—
1596C23×C4—531no—
1597C23×C4C22×D5312yes—
1598C4⋊Q8—532no—
1599C4⋊Q8—532no—
1600C4⋊Q8—532no—
1601C4⋊Q8—532no—
1602C4⋊Q8—532no—
1603C4⋊Q8—534no—
1604C4⋊Q8—534no—
1605C4⋊Q8—532no—
1606C4⋊Q8—532no—
1607C4⋊Q8—532no—
1608C4⋊Q8—532no—
1609C4⋊Q8—532no—
1610C4⋊Q8—532no—
1611C4⋊Q8—532no—
1612C4⋊Q8—534no—
1613C4⋊Q8—534no—
1614C4⋊Q8—534no—
1615C4⋊Q8—534no—
1616C4⋊Q8—534no—
1617C4⋊Q8—531no—
1618C4⋊Q8—531no—
1619C4⋊Q8—532no—
1620C4⋊Q8—534no—
1621C4⋊Q8C22×D5311yescharacteristic
1622C4⋊Q8C22×D5311yescharacteristic
1623C4⋊Q8C22×D5312yes—
1624#126—532no—
1625#126—532no—
1626#126—532no—
1627#126—534no—
1628#126—534no—
1629#126—534no—
1630#126—534no—
1631#126—534no—
1632#126—532no—
1633#126—532no—
1634#126—532no—
1635#126—532no—
1636#126—532no—
1637#126—532no—
1638#126—532no—
1639#126—532no—
1640#126—532no—
1641#126—532no—
1642#126—532no—
1643#126—534no—
1644#126—534no—
1645#126—534no—
1646#126—534no—
1647#126—534no—
1648#126—534no—
1649#126—534no—
1650#126—534no—
1651#126—534no—
1652#126—534no—
1653#126—534no—
1654#126—534no—
1655#126—534no—
1656#126—534no—
1657#126—534no—
1658#126—534no—
1659#126—534no—
1660#126—534no—
1661#126—534no—
1662#126—532no—
1663#126—534no—
1664#126—534no—
1665#126C22×D5312yes—
1666#126C22×D5314yes—
1667#126C22×D5314yes—
1668#125—532no—
1669#125—532no—
1670#125—531no—
1671#125—531no—
1672#125—531no—
1673#125—531no—
1674#125—531no—
1675#125—531no—
1676#125—532no—
1677#125—532no—
1678#125—532no—
1679#125—532no—
1680#125—534no—
1681#125—534no—
1682#125—534no—
1683#125—534no—
1684#125—534no—
1685#125—532no—
1686#125—532no—
1687#125—532no—
1688#125—534no—
1689#125—534no—
1690#125—534no—
1691#125—534no—
1692#125—534no—
1693#125—534no—
1694#125—534no—
1695#125—534no—
1696#125—534no—
1697#125—534no—
1698#125—534no—
1699#125—534no—
1700#125—534no—
1701#125—534no—
1702#125—534no—
1703#125—534no—
1704#125—534no—
1705#125—534no—
1706#125—534no—
1707#125—534no—
1708#125—534no—
1709#125—531no—
1710#125—532no—
1711#125—534no—
1712#125—532no—
1713#125—534no—
1714#125—534no—
1715#125C22×D5311yescharacteristic
1716#125C22×D5312yes—
1717#125C22×D5314yes—
1718#124—531no—
1719#124—532no—
1720#124—531no—
1721#124—531no—
1722#124—531no—
1723#124—532no—
1724#124—531no—
1725#124—531no—
1726#124—532no—
1727#124—532no—
1728#124—532no—
1729#124—534no—
1730#124—534no—
1731#124—534no—
1732#124—532no—
1733#124—532no—
1734#124—534no—
1735#124—534no—
1736#124—534no—
1737#124—534no—
1738#124—531no—
1739#124C22×D5311yescharacteristic
1740#124C22×D5312yes—
1741#124C22×D5314yes—
1742#123—532no—
1743#123—534no—
1744#123—534no—
1745#123—534no—
1746#123—534no—
1747#123—534no—
1748#123—534no—
1749#123—534no—
1750#123—532no—
1751#123—534no—
1752#123—534no—
1753#123—534no—
1754#123—534no—
1755#123—532no—
1756#123—532no—
1757#123—532no—
1758#123—532no—
1759#123—532no—
1760#123—532no—
1761#123—532no—
1762#123—532no—
1763#123—532no—
1764#123—532no—
1765#123—532no—
1766#123—532no—
1767#123—532no—
1768#123—534no—
1769#123—534no—
1770#123—534no—
1771#123—534no—
1772#123—534no—
1773#123—534no—
1774#123—534no—
1775#123—534no—
1776#123—534no—
1777#123C22×D5312yes—
1778#123C22×D5314yes—
1779#123C22×D5314yes—
1780#123C22×D5314yes—
1781#123C22×D5314yes—
1782C22⋊Q8—532no—
1783C22⋊Q8—531no—
1784C22⋊Q8—532no—
1785C22⋊Q8—532no—
1786C22⋊Q8—534no—
1787C22⋊Q8—534no—
1788C22⋊Q8—534no—
1789C22⋊Q8—534no—
1790C22⋊Q8—531no—
1791C22⋊Q8—532no—
1792C22⋊Q8—532no—
1793C22⋊Q8—534no—
1794C22⋊Q8—532no—
1795C22⋊Q8—532no—
1796C22⋊Q8—532no—
1797C22⋊Q8—534no—
1798C22⋊Q8—532no—
1799C22⋊Q8—532no—
1800C22⋊Q8—534no—
1801C22⋊Q8—534no—
1802C22⋊Q8—534no—
1803C22⋊Q8—534no—
1804C22⋊Q8—534no—
1805C22⋊Q8—534no—
1806C22⋊Q8—534no—
1807C22⋊Q8—534no—
1808C22⋊Q8—534no—
1809C22⋊Q8—531no—
1810C22⋊Q8—531no—
1811C22⋊Q8—532no—
1812C22⋊Q8—532no—
1813C22⋊Q8—531no—
1814C22⋊Q8—531no—
1815C22⋊Q8—531no—
1816C22⋊Q8—532no—
1817C22⋊Q8—532no—
1818C22⋊Q8—534no—
1819C22⋊Q8—532no—
1820C22⋊Q8—534no—
1821C22⋊Q8—534no—
1822C22⋊Q8—532no—
1823C22⋊Q8—532no—
1824C22⋊Q8—534no—
1825C22⋊Q8—534no—
1826C22⋊Q8—534no—
1827C22⋊Q8—534no—
1828C22⋊Q8—534no—
1829C22⋊Q8—534no—
1830C22⋊Q8—534no—
1831C22⋊Q8—534no—
1832C22⋊Q8—534no—
1833C22⋊Q8—534no—
1834C22⋊Q8—534no—
1835C22⋊Q8—532no—
1836C22⋊Q8—534no—
1837C22⋊Q8—534no—
1838C22⋊Q8—534no—
1839C22⋊Q8—534no—
1840C22⋊Q8—534no—
1841C22⋊Q8—534no—
1842C22⋊Q8—534no—
1843C22⋊Q8—534no—
1844C22⋊Q8—534no—
1845C22⋊Q8—534no—
1846C22⋊Q8—534no—
1847C22⋊Q8—534no—
1848C22⋊Q8—534no—
1849C22⋊Q8—534no—
1850C22⋊Q8—534no—
1851C22⋊Q8C22×D5311yescharacteristic
1852C22⋊Q8C22×D5312yes—
1853C22⋊Q8C22×D5312yes—
1854C22⋊Q8C22×D5312yes—
1855C22⋊Q8C22×D5314yes—
1856C22⋊Q8C22×D5312yes—
1857C22⋊Q8C22×D5312yes—
1858C22⋊Q8C22×D5314yes—
1859C22⋊Q8C22×D5312yes—
1860C22⋊Q8C22×D5314yes—
1861C22⋊Q8C22×D5314yes—
1862#121—531no—
1863#121—531no—
1864#121—532no—
1865#121—532no—
1866#121—531no—
1867#121—531no—
1868#121—531no—
1869#121—532no—
1870#121—532no—
1871#121—534no—
1872#121—534no—
1873#121—534no—
1874#121—534no—
1875#121—534no—
1876#121—531no—
1877#121—532no—
1878#121—531no—
1879#121—532no—
1880#121—534no—
1881#121—534no—
1882#121C22×D5311yescharacteristic
1883#121C22×D5312yes—
1884#121C22×D5312yes—
1885#121C22×D5314yes—
1886#120—534no—
1887#120—534no—
1888#120—534no—
1889#120C22×D5314yes—
1890C4×Q8—531no—
1891C4×Q8—532no—
1892C4×Q8—532no—
1893C4×Q8—532no—
1894C4×Q8—532no—
1895C4×Q8—534no—
1896C4×Q8—534no—
1897C4×Q8—532no—
1898C4×Q8—532no—
1899C4×Q8—531no—
1900C4×Q8—532no—
1901C4×Q8—532no—
1902C4×Q8—534no—
1903C4×Q8—532no—
1904C4×Q8—534no—
1905C4×Q8—532no—
1906C4×Q8—534no—
1907C4×Q8—534no—
1908C4×Q8—534no—
1909C4×Q8—532no—
1910C4×Q8—532no—
1911C4×Q8—532no—
1912C4×Q8—532no—
1913C4×Q8—531no—
1914C4×Q8—531no—
1915C4×Q8—532no—
1916C4×Q8—532no—
1917C4×Q8—531no—
1918C4×Q8—531no—
1919C4×Q8—531no—
1920C4×Q8—532no—
1921C4×Q8—532no—
1922C4×Q8—534no—
1923C4×Q8—532no—
1924C4×Q8—534no—
1925C4×Q8—532no—
1926C4×Q8—534no—
1927C4×Q8—534no—
1928C4×Q8—534no—
1929C4×Q8—532no—
1930C4×Q8C22×D5312yes—
1931C4×Q8C22×D5311yescharacteristic
1932C4×Q8C22×D5312yes—
1933C4×Q8C22×D5312yes—
1934C4×D4—531no—
1935C4×D4—532no—
1936C4×D4—534no—
1937C4×D4—534no—
1938C4×D4—532no—
1939C4×D4—532no—
1940C4×D4—534no—
1941C4×D4—532no—
1942C4×D4—532no—
1943C4×D4—532no—
1944C4×D4—532no—
1945C4×D4—532no—
1946C4×D4—532no—
1947C4×D4—532no—
1948C4×D4—532no—
1949C4×D4—532no—
1950C4×D4—532no—
1951C4×D4—532no—
1952C4×D4—534no—
1953C4×D4—534no—
1954C4×D4—534no—
1955C4×D4—534no—
1956C4×D4—534no—
1957C4×D4—534no—
1958C4×D4—534no—
1959C4×D4—534no—
1960C4×D4—534no—
1961C4×D4—531no—
1962C4×D4—532no—
1963C4×D4—534no—
1964C4×D4—532no—
1965C4×D4—532no—
1966C4×D4—532no—
1967C4×D4—532no—
1968C4×D4—534no—
1969C4×D4—534no—
1970C4×D4—534no—
1971C4×D4—534no—
1972C4×D4—534no—
1973C4×D4—534no—
1974C4×D4—534no—
1975C4×D4—531no—
1976C4×D4—532no—
1977C4×D4—534no—
1978C4×D4C22×D5312yes—
1979C4×D4C22×D5311yescharacteristic
1980C4×D4C22×D5311yescharacteristic
1981C4×D4C22×D5311yescharacteristic
1982C4×D4C22×D5312yes—
1983C4×D4C22×D5311yescharacteristic
1984C4×D4C22×D5311yescharacteristic
1985C4×D4C22×D5312yes—
1986C4×D4C22×D5314yes—
1987C4×D4C22×D5314yes—
1988C4×D4C22×D5312yes—
1989C4×D4C22×D5314yes—
1990#117—532no—
1991#117—532no—
1992#117—532no—
1993#117—532no—
1994#117—532no—
1995#117—532no—
1996#117—532no—
1997#117—532no—
1998#117—532no—
1999#117—532no—
2000#117—532no—
2001#117—532no—
2002#117—534no—
2003#117—534no—
2004#117—534no—
2005#117—532no—
2006#117—532no—
2007#117—532no—
2008#117—532no—
2009#117—534no—
2010#117—532no—
2011#117—534no—
2012#117—534no—
2013#117—532no—
2014#117—532no—
2015#117—534no—
2016#117—534no—
2017#117—534no—
2018#117—534no—
2019#117—534no—
2020#117—534no—
2021#117—534no—
2022#117—534no—
2023#117—532no—
2024#117—532no—
2025#117—534no—
2026#117—534no—
2027#117—534no—
2028#117C22×D5312yes—
2029#117C22×D5312yes—
2030#117C22×D5312yes—
2031#117C22×D5314yes—
2032C2×C4⋊C4—532no—
2033C2×C4⋊C4—532no—
2034C2×C4⋊C4—532no—
2035C2×C4⋊C4—531no—
2036C2×C4⋊C4—532no—
2037C2×C4⋊C4—534no—
2038C2×C4⋊C4—534no—
2039C2×C4⋊C4—532no—
2040C2×C4⋊C4—532no—
2041C2×C4⋊C4—532no—
2042C2×C4⋊C4—532no—
2043C2×C4⋊C4—532no—
2044C2×C4⋊C4—531no—
2045C2×C4⋊C4—532no—
2046C2×C4⋊C4—531no—
2047C2×C4⋊C4—534no—
2048C2×C4⋊C4—534no—
2049C2×C4⋊C4—532no—
2050C2×C4⋊C4—532no—
2051C2×C4⋊C4—532no—
2052C2×C4⋊C4—534no—
2053C2×C4⋊C4—532no—
2054C2×C4⋊C4C22×D5311yescharacteristic
2055C2×C4⋊C4C22×D5312yes—
2056C2×C4⋊C4C22×D5312yes—
2057C2×C4⋊C4C22×D5314yes—
2058C2×C22⋊C4—532no—
2059C2×C22⋊C4—532no—
2060C2×C22⋊C4—532no—
2061C2×C22⋊C4—534no—
2062C2×C22⋊C4—532no—
2063C2×C22⋊C4—534no—
2064C2×C22⋊C4—534no—
2065C2×C22⋊C4—532no—
2066C2×C22⋊C4—532no—
2067C2×C22⋊C4—532no—
2068C2×C22⋊C4—532no—
2069C2×C22⋊C4—532no—
2070C2×C22⋊C4—534no—
2071C2×C22⋊C4C22×D5312yes—
2072C2×C22⋊C4C22×D5314yes—
2073C2×C42—531no—
2074C2×C42—532no—
2075C2×C42—531no—
2076C2×C42—531no—
2077C2×C42—531no—
2078C2×C42—532no—
2079C2×C42—534no—
2080C2×C42—531no—
2081C2×C42—531no—
2082C2×C42—531no—
2083C2×C42—531no—
2084C2×C42—531no—
2085C2×C42—531no—
2086C2×C42—531no—
2087C2×C42C22×D5311yescharacteristic
2088C24—531no—
2089C24—532no—
2090C24C23×D5312yes—
2091#41—44no—
2092#41—44no—
2093#41—2124no—
2094#41—2124no—
2095C2×Q8—44no—
2096C2×Q8—531no—
2097C2×Q8—531no—
2098C2×Q8—531no—
2099C2×Q8—532no—
2100C2×Q8—532no—
2101C2×Q8—534no—
2102C2×Q8—534no—
2103C2×Q8—534no—
2104C2×Q8—532no—
2105C2×Q8—534no—
2106C2×Q8—534no—
2107C2×Q8—532no—
2108C2×Q8—2124no—
2109C2×Q8—2122no—
2110C2×Q8—2124no—
2111C2×Q8—2122no—
2112C2×Q8—2124no—
2113C2×Q8—2124no—
2114C2×Q8—2124no—
2115C2×Q8C23×D5311yescharacteristic
2116C2×Q8C23×D5312yes—
2117C2×Q8C23×D5312yes—
2118C2×Q8C23×D5314yes—
2119C2×D4—42no—
2120C2×D4—532no—
2121C2×D4—532no—
2122C2×D4—532no—
2123C2×D4—532no—
2124C2×D4—532no—
2125C2×D4—532no—
2126C2×D4—534no—
2127C2×D4—534no—
2128C2×D4—532no—
2129C2×D4—532no—
2130C2×D4—531no—
2131C2×D4—1068no—
2132C2×D4—1068no—
2133C2×D4—2122no—
2134C2×D4C23×D5312yes—
2135C2×D4C23×D5311yescharacteristic
2136C2×D4C23×D5311yescharacteristic
2137C2×D4C23×D5311yescharacteristic
2138C2×D4C23×D5314yes—
2139C2×D4C23×D5314yes—
2140C2×D4C23×D5312yes—
2141C22×C4—44no—
2142C22×C4—531no—
2143C22×C4—532no—
2144C22×C4—531no—
2145C22×C4—531no—
2146C22×C4—532no—
2147C22×C4—534no—
2148C22×C4—534no—
2149C22×C4—534no—
2150C22×C4—532no—
2151C22×C4—531no—
2152C22×C4—531no—
2153C22×C4—531no—
2154C22×C4—531no—
2155C22×C4—531no—
2156C22×C4—531no—
2157C22×C4—531no—
2158C22×C4—531no—
2159C22×C4—532no—
2160C22×C4—532no—
2161C22×C4—531no—
2162C22×C4—531no—
2163C22×C4—531no—
2164C22×C4—531no—
2165C22×C4—532no—
2166C22×C4—534no—
2167C22×C4—534no—
2168C22×C4—532no—
2169C22×C4—534no—
2170C22×C4—534no—
2171C22×C4—532no—
2172C22×C4—1064no—
2173C22×C4—2122no—
2174C22×C4—2122no—
2175C22×C4—2124no—
2176C22×C4C23×D5311yescharacteristic
2177C22×C4C23×D5311yescharacteristic
2178C22×C4C23×D5311yescharacteristic
2179C22×C4C23×D5312yes—
2180C22×C4C23×D5312yes—
2181C22×C4C23×D5312yes—
2182C22×C4C23×D5312yes—
2183C22×C4C23×D5314yes—
2184C22×C4C23×D5314yes—
2185C22×C4C23×D5314yes—
2186C22×C4C23×D5312yes—
2187C22×C4C23×D5312yes—
2188C4⋊C4—532no—
2189C4⋊C4—532no—
2190C4⋊C4—532no—
2191C4⋊C4—531no—
2192C4⋊C4—532no—
2193C4⋊C4—532no—
2194C4⋊C4—534no—
2195C4⋊C4—534no—
2196C4⋊C4—534no—
2197C4⋊C4—534no—
2198C4⋊C4—534no—
2199C4⋊C4—532no—
2200C4⋊C4—532no—
2201C4⋊C4—532no—
2202C4⋊C4—531no—
2203C4⋊C4—531no—
2204C4⋊C4—531no—
2205C4⋊C4—532no—
2206C4⋊C4—532no—
2207C4⋊C4—532no—
2208C4⋊C4—532no—
2209C4⋊C4—532no—
2210C4⋊C4—532no—
2211C4⋊C4—532no—
2212C4⋊C4—532no—
2213C4⋊C4—532no—
2214C4⋊C4—532no—
2215C4⋊C4—532no—
2216C4⋊C4—532no—
2217C4⋊C4—534no—
2218C4⋊C4—534no—
2219C4⋊C4—532no—
2220C4⋊C4—532no—
2221C4⋊C4—532no—
2222C4⋊C4—532no—
2223C4⋊C4—532no—
2224C4⋊C4—532no—
2225C4⋊C4—532no—
2226C4⋊C4—532no—
2227C4⋊C4—532no—
2228C4⋊C4—532no—
2229C4⋊C4—534no—
2230C4⋊C4—534no—
2231C4⋊C4—534no—
2232C4⋊C4—532no—
2233C4⋊C4—532no—
2234C4⋊C4—534no—
2235C4⋊C4—534no—
2236C4⋊C4—534no—
2237C4⋊C4—534no—
2238C4⋊C4—534no—
2239C4⋊C4—532no—
2240C4⋊C4—532no—
2241C4⋊C4—532no—
2242C4⋊C4—534no—
2243C4⋊C4—534no—
2244C4⋊C4—534no—
2245C4⋊C4—534no—
2246C4⋊C4—534no—
2247C4⋊C4—534no—
2248C4⋊C4—534no—
2249C4⋊C4—534no—
2250C4⋊C4—534no—
2251C4⋊C4—534no—
2252C4⋊C4—534no—
2253C4⋊C4—534no—
2254C4⋊C4—534no—
2255C4⋊C4—534no—
2256C4⋊C4—534no—
2257C4⋊C4C23×D5311yescharacteristic
2258C4⋊C4C23×D5312yes—
2259C4⋊C4C23×D5311yescharacteristic
2260C4⋊C4C23×D5312yes—
2261C4⋊C4C23×D5314yes—
2262C4⋊C4C23×D5314yes—
2263C4⋊C4C23×D5312yes—
2264C4⋊C4C23×D5312yes—
2265C4⋊C4C23×D5312yes—
2266C4⋊C4C23×D5312yes—
2267C4⋊C4C23×D5311yescharacteristic
2268C4⋊C4C23×D5312yes—
2269C4⋊C4C23×D5314yes—
2270C4⋊C4C23×D5312yes—
2271C4⋊C4C23×D5311yescharacteristic
2272C4⋊C4C23×D5314yes—
2273C4⋊C4C23×D5312yes—
2274C4⋊C4C23×D5314yes—
2275C4⋊C4C23×D5314yes—
2276C22⋊C4—532no—
2277C22⋊C4—534no—
2278C22⋊C4—532no—
2279C22⋊C4—532no—
2280C22⋊C4—532no—
2281C22⋊C4—532no—
2282C22⋊C4—532no—
2283C22⋊C4—532no—
2284C22⋊C4—532no—
2285C22⋊C4—532no—
2286C22⋊C4—532no—
2287C22⋊C4—532no—
2288C22⋊C4—532no—
2289C22⋊C4—532no—
2290C22⋊C4—532no—
2291C22⋊C4—534no—
2292C22⋊C4—534no—
2293C22⋊C4—534no—
2294C22⋊C4—532no—
2295C22⋊C4—532no—
2296C22⋊C4—532no—
2297C22⋊C4—534no—
2298C22⋊C4—534no—
2299C22⋊C4—534no—
2300C22⋊C4—534no—
2301C22⋊C4—532no—
2302C22⋊C4—532no—
2303C22⋊C4—534no—
2304C22⋊C4—534no—
2305C22⋊C4—532no—
2306C22⋊C4—532no—
2307C22⋊C4—532no—
2308C22⋊C4—532no—
2309C22⋊C4—532no—
2310C22⋊C4—532no—
2311C22⋊C4—532no—
2312C22⋊C4—532no—
2313C22⋊C4—532no—
2314C22⋊C4—532no—
2315C22⋊C4—534no—
2316C22⋊C4—534no—
2317C22⋊C4—532no—
2318C22⋊C4—532no—
2319C22⋊C4—534no—
2320C22⋊C4—534no—
2321C22⋊C4C23×D5312yes—
2322C22⋊C4C23×D5314yes—
2323C22⋊C4C23×D5312yes—
2324C22⋊C4C23×D5312yes—
2325C22⋊C4C23×D5312yes—
2326C22⋊C4C23×D5314yes—
2327C22⋊C4C23×D5312yes—
2328C22⋊C4C23×D5312yes—
2329C22⋊C4C23×D5312yes—
2330C22⋊C4C23×D5314yes—
2331C22⋊C4C23×D5314yes—
2332C22⋊C4C23×D5312yes—
2333C22⋊C4C23×D5312yes—
2334C22⋊C4C23×D5314yes—
2335C22⋊C4C23×D5314yes—
2336C42—531no—
2337C42—531no—
2338C42—531no—
2339C42—531no—
2340C42—531no—
2341C42—531no—
2342C42—531no—
2343C42—531no—
2344C42—531no—
2345C42—531no—
2346C42—531no—
2347C42—531no—
2348C42—532no—
2349C42—532no—
2350C42—532no—
2351C42—532no—
2352C42—534no—
2353C42—534no—
2354C42—534no—
2355C42—532no—
2356C42—532no—
2357C42—532no—
2358C42—534no—
2359C42—534no—
2360C42—534no—
2361C42—534no—
2362C42—534no—
2363C42—534no—
2364C42—534no—
2365C42C23×D5311yescharacteristic
2366C42C23×D5311yescharacteristic
2367C42C23×D5311yescharacteristic
2368C42C23×D5311yescharacteristic
2369C42C23×D5314yes—
2370C42C23×D5312yes—
2371C42C23×D5314yes—
2372C23—24no—
2373C23—42no—
2374C23—42no—
2375C23—531no—
2376C23—531no—
2377C23—534no—
2378C23—532no—
2379C23—1064no—
2380C23—2122no—
2381C23—2122no—
2382C23—2121no—
2383C23—2121no—
2384C23C24×D5312yes—
2385C23C24×D5312yes—
2386C23C24×D5312yes—
2387C23C24×D5311yescharacteristic
2388Q8—22no—
2389Q8—24no—
2390Q8—24no—
2391Q8—44no—
2392Q8—1062no—
2393Q8—1064no—
2394Q8—1062no—
2395Q8—1062no—
2396Q8—1064no—
2397Q8—2124no—
2398Q8—2124no—
2399Q8—2122no—
2400Q8—2124no—
2401Q8—2122no—
2402Q8—2124no—
2403Q8—2124no—
2404D4—24no—
2405D4—22no—
2406D4—22no—
2407D4—22no—
2408D4—42no—
2409D4—44no—
2410D4—44no—
2411D4—1064no—
2412D4—1064no—
2413D4—1064no—
2414D4—1064no—
2415D4—1064no—
2416D4—1064no—
2417D4—1064no—
2418D4—1062no—
2419D4—2122no—
2420D4—2124no—
2421D4—2124no—
2422C2×C4—22no—
2423C2×C4—22no—
2424C2×C4—24no—
2425C2×C4—24no—
2426C2×C4—22no—
2427C2×C4—24no—
2428C2×C4—42no—
2429C2×C4—42no—
2430C2×C4—42no—
2431C2×C4—44no—
2432C2×C4—44no—
2433C2×C4—44no—
2434C2×C4—531no—
2435C2×C4—531no—
2436C2×C4—532no—
2437C2×C4—532no—
2438C2×C4—532no—
2439C2×C4—531no—
2440C2×C4—531no—
2441C2×C4—532no—
2442C2×C4—531no—
2443C2×C4—532no—
2444C2×C4—532no—
2445C2×C4—534no—
2446C2×C4—534no—
2447C2×C4—531no—
2448C2×C4—532no—
2449C2×C4—1062no—
2450C2×C4—1062no—
2451C2×C4—1062no—
2452C2×C4—1062no—
2453C2×C4—1064no—
2454C2×C4—1062no—
2455C2×C4—1064no—
2456C2×C4—1062no—
2457C2×C4—1062no—
2458C2×C4—1062no—
2459C2×C4—1062no—
2460C2×C4—1064no—
2461C2×C4—2121no—
2462C2×C4—2121no—
2463C2×C4—2122no—
2464C2×C4—2122no—
2465C2×C4—2121no—
2466C2×C4—2121no—
2467C2×C4—2124no—
2468C2×C4—2122no—
2469C2×C4—2124no—
2470C2×C4—2124no—
2471C2×C4—2124no—
2472C2×C4—2121no—
2473C2×C4—2122no—
2474C2×C4—2121no—
2475C2×C4—2124no—
2476C2×C4—2124no—
2477C2×C4—2122no—
2478C2×C4—2124no—
2479C2×C4C24×D5311yescharacteristic
2480C2×C4C24×D5311yescharacteristic
2481C2×C4C24×D5312yes—
2482C2×C4C24×D5312yes—
2483C2×C4C24×D5314yes—
2484C2×C4C24×D5311yescharacteristic
2485C2×C4C24×D5314yes—
2486C2×C4C24×D5311yescharacteristic
2487C2×C4C24×D5312yes—
2488C2×C4C24×D5312yes—
2489C2×C4C24×D5312yes—
2490C2×C4C24×D5311yescharacteristic
2491C2×C4C24×D5311yescharacteristic
2492C22—21no—
2493C22—21no—
2494C22—22no—
2495C22—22no—
2496C22—22no—
2497C22—22no—
2498C22—22no—
2499C22—22no—
2500C22—22no—
2501C22—22no—
2502C22—22no—
2503C22—84no—
2504C22—532no—
2505C22—532no—
2506C22—1061no—
2507C22—1061no—
2508C22—1061no—
2509C22—1061no—
2510C22—1062no—
2511C22—1062no—
2512C22—1062no—
2513C22—4244no—
2514C22—2124no—
2515C222−1+4×D5312yes—
2516C22C25×D5311yescharacteristic
2517C4—21no—
2518C4—21no—
2519C4—22no—
2520C4—21no—
2521C4—22no—
2522C4—22no—
2523C4—24no—
2524C4—22no—
2525C4—22no—
2526C4—21no—
2527C4—24no—
2528C4—1061no—
2529C4—1061no—
2530C4—1062no—
2531C4—1062no—
2532C4—1062no—
2533C4—1061no—
2534C4—1061no—
2535C4—1064no—
2536C4—1062no—
2537C4—1061no—
2538C4—1062no—
2539C4—1061no—
2540C4—1064no—
2541C4—1062no—
2542C4—1062no—
2543C4#1681145812yes—
2544C4#1681145912yes—
2545C2—22no—
2546C2—42no—
2547C2—42no—
2548C2—42no—
2549C2—1062no—
2550C2—1062no—
2551C2—2122no—
2552C2C2×2−1+4×D5311yescharacteristic
2553C2C2×#1681145811yescharacteristic
2554C2C2×#1681145911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3520C2
hypercenter#3520D53
hypocenterC53#62823
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3520

Complements

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

NH ≅ G/Ntype
1. #20289332C2semidirect
2. #20289327C2semidirect
3. #20289322C2semidirect
4. #20289319C2semidirect
5. #20289278C2semidirect
6. #20289274C2semidirect
7. #20289164C2semidirect
8. #20289157C2semidirect
9. #20289153C2semidirect
10. #20289153C2semidirect
11. #20289145C2semidirect
12. #20288810C2semidirect
13. #20288809C2semidirect
14. #20288806C2semidirect
15. #20288803C2semidirect
16. #20288767C2semidirect
17. #20288764C2semidirect
18. #20288755C2semidirect
19. #20288707C2semidirect
20. #20288702C2semidirect
21. #20288701C2semidirect
22. #20288700C2semidirect
23. #20288543C2semidirect
24. #20288542C2semidirect
25. #20288512C2semidirect
26. #20288511C2semidirect
27. #20288469C2semidirect
28. #20288468C2semidirect
29. #20288465C2semidirect
30. #20288461C2semidirect
31. #20288406C2semidirect
32. #533×D53C2semidirect
33. C2×#16811155C2semidirect
34. #529×D53C2semidirect
35. C53×#3520C2semidirect
36. C53⋊#564C22semidirect
37. #16811376C22semidirect
38. #16811376C22semidirect
39. #16811376C22semidirect
40. #16811375C22semidirect
41. #16811374C22semidirect
42. #16811374C22semidirect
43. #16811368C22semidirect
44. #16811352C22semidirect
45. #16811351C22semidirect
46. #16811350C22semidirect
47. #16811349C22semidirect
48. #16811349C22semidirect
49. #16811348C22semidirect
50. #16811348C22semidirect
51. #16811348C22semidirect
52. #16811347C22semidirect
53. #16811345C22semidirect
54. #16811344C22semidirect
55. #16811343C22semidirect
56. #16811343C22semidirect
57. #16811343C22semidirect
58. #16811343C22semidirect
59. #16811342C22semidirect
60. #16811342C22semidirect
61. #16811342C22semidirect
62. #16811341C22semidirect
63. #16811334C22semidirect
64. #16811331C22semidirect
65. #16811331C22semidirect
66. #16811331C22semidirect
67. #16811331C22semidirect
68. #16811330C22semidirect
69. #16811329C22semidirect
70. #16811328C22semidirect
71. #16811328C22semidirect
72. #16811328C22semidirect
73. #16811328C22semidirect
74. #16811328C22semidirect
75. #16811328C22semidirect
76. #16811327C22semidirect
77. #16811327C22semidirect
78. #16811323C22semidirect
79. #16811323C22semidirect
80. #16811320C22semidirect
81. #16811320C22semidirect
82. #16811320C22semidirect
83. #16811318C22semidirect
84. #16811318C22semidirect
85. #16811317C22semidirect
86. #16811315C22semidirect
87. #16811315C22semidirect
88. #16811313C22semidirect
89. #16811313C22semidirect
90. #16811313C22semidirect
91. #16811313C22semidirect
92. #16811313C22semidirect
93. #16811312C22semidirect
94. #16811312C22semidirect
95. #16811310C22semidirect
96. #16811310C22semidirect
97. #16811310C22semidirect
98. #16811309C22semidirect
99. #16811309C22semidirect
100. #16811309C22semidirect
101. #16811308C22semidirect
102. #16811308C22semidirect
103. #16811308C22semidirect
104. #16811307C22semidirect
105. #16811307C22semidirect
106. #16811307C22semidirect
107. #16811307C22semidirect
108. #16811306C22semidirect
109. #16811304C22semidirect
110. #16811304C22semidirect
111. #16811303C22semidirect
112. #16811302C22semidirect
113. #16811302C22semidirect
114. #16811301C22semidirect
115. #16811301C22semidirect
116. #16811299C22semidirect
117. #16811299C22semidirect
118. #16811299C22semidirect
119. #16811296C22semidirect
120. Q8×D212C22semidirect
121. D4×Dic106C22semidirect
122. D4×Dic106C22semidirect
123. D4×Dic106C22semidirect
124. #16811288C22semidirect
125. Q8×C22⋊D53C22semidirect
126. Q8×C22⋊D53C22semidirect
127. #16811286C22semidirect
128. #16811286C22semidirect
129. #16811286C22semidirect
130. #16811286C22semidirect
131. #16811283C22semidirect
132. #16811282C22semidirect
133. #16811281C22semidirect
134. #16811280C22semidirect
135. #16811280C22semidirect
136. #16811280C22semidirect
137. #16811279C22semidirect
138. #16811278C22semidirect
139. #16811277C22semidirect
140. #16811270C22semidirect
141. #16811267C22semidirect
142. #16811261C22semidirect
143. #16811254C22semidirect
144. #16811254C22semidirect
145. #16811253C22semidirect
146. #16811252C22semidirect
147. #16811251C22semidirect
148. #16811250C22semidirect
149. #16811249C22semidirect
151. #16811248C22semidirect
152. #16811246C22semidirect
153. #16811246C22semidirect
154. #16811241C22semidirect
155. #16811240C22semidirect
156. #16811240C22semidirect
157. #16811240C22semidirect
158. #16811240C22semidirect
159. #16811238C22semidirect
160. #16811238C22semidirect
161. #16811238C22semidirect
162. #16811237C22semidirect
163. #16811235C22semidirect
164. #16811235C22semidirect
165. #16811233C22semidirect
166. #16811233C22semidirect
167. #16811233C22semidirect
168. #16811233C22semidirect
169. #16811233C22semidirect
170. #16811233C22semidirect
171. #16811233C22semidirect
172. #16811232C22semidirect
173. #16811232C22semidirect
174. #16811231C22semidirect
175. #16811231C22semidirect
176. #16811230C22semidirect
177. #16811230C22semidirect
178. #16811230C22semidirect
179. #16811219C22semidirect
180. #16811217C22semidirect
182. #16811216C22semidirect
183. #16811216C22semidirect
184. #16811216C22semidirect
186. #16811215C22semidirect
187. #16811214C22semidirect
190. #16811197C22semidirect
191. #16811194C22semidirect
192. #16811194C22semidirect
193. #16811193C22semidirect
195. #16811180C22semidirect
196. #16811179C22semidirect
197. #16811178C22semidirect
198. #16811178C22semidirect
199. #16811178C22semidirect
200. #16811177C22semidirect
201. #16811177C22semidirect
202. #16811177C22semidirect
203. #16811176C22semidirect
204. #16811175C22semidirect
205. #16811175C22semidirect
206. #16811175C22semidirect
207. #16811175C22semidirect
208. C4⋊Q8×D53C22semidirect
209. C4⋊Q8×D53C22semidirect
210. #16811160C22semidirect
213. #16811158C22semidirect
215. #16811156C22semidirect
216. #16811156C22semidirect
224. #16811155C22semidirect
225. #16811155C22semidirect
226. #16811155C22semidirect
227. #16811155C22semidirect
228. #16811155C22semidirect
229. #16811155C22semidirect
230. #16811155C22semidirect
231. #16811155C22semidirect
236. #16811152C22semidirect
237. #16811152C22semidirect
238. #16811151C22semidirect
239. #16811151C22semidirect
241. C2×#13133210C22semidirect
242. #126×D53C22semidirect
243. C2×#13133208C22semidirect
244. #125×D53C22semidirect
245. #125×D53C22semidirect
246. C2×#13133204C22semidirect
247. #124×D53C22semidirect
254. C2×#13133197C22semidirect
255. C2×#13133196C22semidirect
259. C22⋊Q8×D53C22semidirect
262. #16811106C22semidirect
263. #16811104C22semidirect
264. #16811102C22semidirect
265. #16811101C22semidirect
266. #16811100C22semidirect
267. #16811100C22semidirect
268. #16811099C22semidirect
271. C2×C4×Dic106C22semidirect
272. C4×Q8×D53C22semidirect
273. C4×Q8×D53C22semidirect
274. C4×Q8×D53C22semidirect
277. C4×D4×D53C22semidirect
278. C2×#13133176C22semidirect
280. #117×D53C22semidirect
282. C53×#556C22semidirect
283. C53×#554C22semidirect
284. C53×#552C22semidirect
285. C53×#551C22semidirect
286. D4×Q8×C53C22semidirect
287. C53×#548C22semidirect
288. C53×#547C22semidirect
289. C53×#547C22semidirect
290. C53×#546C22semidirect
291. C53×#542C22semidirect
292. C53×#539C22semidirect
293. C53×#533C22semidirect
296. C2×C22⋊Q8×C53C22semidirect
297. C53×#520C22semidirect
298. C2×C4×D4×C53C22semidirect
1286. #3520D53semidirect
1340. #556C2×D53semidirect
1356. #554C2×D53semidirect
1388. #552C2×D53semidirect
1400. #551C2×D53semidirect
1412. D4×Q8C2×D53semidirect
1420. #548C2×D53semidirect
1423. #547C2×D53semidirect
1424. #547C2×D53semidirect
1428. #546C2×D53semidirect
1449. #542C2×D53semidirect
1475. #539C2×D53semidirect
1496. #533C2×D53semidirect
1551. C2×C22⋊Q8C2×D53semidirect
1557. #520C2×D53semidirect
1571. C2×C4×D4C2×D53semidirect
1576. C53#62823semidirect

Maximal subgroups

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

subgroupindex
#202893322
#202893272
#202893222
#202893192
#202892782
#202892742
#202891642
#202891572
#202891532
#202891452
#202888102
#202888092
#202888062
#202888032
#202887672
#202887642
#202887552
#202887072
#202887022
#202887012
#202887002
#202885432
#202885422
#202885122
#202885112
#202884692
#202884682
#202884652
#202884612
#202884062
#533×D532
C2×#168111552
#529×D532
C53×#35202
#6282353