Finite Group Databasebeta

← #28293095

Subgroups — #28293095

Order 13568.

6624 conjugacy classes of subgroups.

The subgroup lattice has 2592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289410C214yesmaximal, complemented
2#20289407C214yesmaximal, complemented
3#20289128C211yesmaximal, characteristic, complemented
4#20289122C211yesmaximal, characteristic, complemented
5#20289121C211yesmaximal, characteristic, complemented
6#20289116C211yesmaximal, characteristic, complemented
7#20288991C212yesmaximal, complemented
8#20288991C212yesmaximal, complemented
9#20288989C212yesmaximal, complemented
10#20288985C212yesmaximal, complemented
11#20288980C214yesmaximal, complemented
12#20288733C211yesmaximal, characteristic, complemented
13#20288731C211yesmaximal, characteristic, complemented
14#20288729C212yesmaximal, complemented
15#20288726C212yesmaximal, complemented
16#20288725C212yesmaximal, complemented
17#20288724C211yesmaximal, characteristic, complemented
18#20288724C212yesmaximal, complemented
19#20288679C211yesmaximal, characteristic, complemented
20#20288678C211yesmaximal, characteristic, complemented
21#20288677C211yesmaximal, characteristic, complemented
22#20288676C211yesmaximal, characteristic, complemented
23#20288674C212yesmaximal, complemented
24#20288672C212yesmaximal, complemented
25#20288669C212yesmaximal, complemented
26#20288664C212yesmaximal, complemented
27#20288613C212yesmaximal, complemented
28#20288612C212yesmaximal, complemented
29#20288607C212yesmaximal, complemented
30#20288605C214yesmaximal, complemented
31#20288604C212yesmaximal, complemented
32#20288012C211yesmaximal, characteristic, complemented
33#20288009C211yesmaximal, characteristic, complemented
34#20288008C211yesmaximal, characteristic, complemented
35C53×#3518C211yesmaximal, characteristic, complemented
36#16811375C2214yescomplemented
37#16811374C2214yescomplemented
38#16811372C2214yescomplemented
39#16811365C2214yescomplemented
40#16811365C2214yescomplemented
41#16811365C2214yescomplemented
42#16811364C2214yescomplemented
43#16811361C2214yescomplemented
44#16811358C2214yescomplemented
45#16811358C2214yescomplemented
46#16811358C2211yescharacteristic, complemented
47#16811358C2211yescharacteristic, complemented
48#16811358C2214yescomplemented
49#16811357C2214yescomplemented
50#16811356C2214yescomplemented
51#16811356C2212yescomplemented
52#16811355C2214yescomplemented
53#16811355C2212yescomplemented
54Q8×Dic106C2212yescomplemented
55#16811353C2211yescharacteristic, complemented
56#16811353C2212yescomplemented
57#16811347C2214yescomplemented
58#16811347C2211yescharacteristic, complemented
59#16811347C2212yescomplemented
60#16811346C2211yescharacteristic, complemented
61#16811346C2214yescomplemented
62#16811346C2214yescomplemented
63#16811346C2212yescomplemented
64#16811345C2214yescomplemented
65#16811345C2212yescomplemented
66#16811345C2212yescomplemented
67#16811345C2214yescomplemented
68#16811345C2214yescomplemented
69#16811345C2214yescomplemented
70#16811344C2214yescomplemented
71#16811344C2212yescomplemented
72#16811344C2212yescomplemented
73#16811343C2211yescharacteristic, complemented
74#16811342C2214yescomplemented
75#16811341C2214yescomplemented
76#16811341C2212yescomplemented
77#16811341C2212yescomplemented
78#16811341C2212yescomplemented
79#16811341C2212yescomplemented
80#16811340C2214yescomplemented
81#16811340C2214yescomplemented
82#16811340C2214yescomplemented
83#16811339C2211yescharacteristic, complemented
84#16811339C2212yescomplemented
85#16811339C2212yescomplemented
86#16811338C2212yescomplemented
87#16811337C2212yescomplemented
88#16811336C2212yescomplemented
89#16811336C2212yescomplemented
90#16811336C2214yescomplemented
91#16811336C2212yescomplemented
92#16811336C2212yescomplemented
93#16811336C2212yescomplemented
94#16811335C2214yescomplemented
95#16811303C2214yescomplemented
96#16811302C2214yescomplemented
97#16811301C2214yescomplemented
98#16811300C2214yescomplemented
99#16811300C2214yescomplemented
100#16811300C2214yescomplemented
101#16811300C2214yescomplemented
102#16811300C2214yescomplemented
103#16811298C2214yescomplemented
104#16811298C2214yescomplemented
105#16811298C2214yescomplemented
106#16811298C2214yescomplemented
107#16811297C2214yescomplemented
108#16811297C2214yescomplemented
109#16811297C2214yescomplemented
110#16811297C2214yescomplemented
111#16811297C2214yescomplemented
112#16811296C2214yescomplemented
113Q8×D212C2211yescharacteristic, complemented
114D4×Dic106C2211yescharacteristic, complemented
115#16811288C2212yescomplemented
116#16811288C2212yescomplemented
117#16811288C2211yescharacteristic, complemented
118Q8×C22⋊D53C2212yescomplemented
119#16811286C2212yescomplemented
120#16811285C2212yescomplemented
121#16811285C2212yescomplemented
122#16811284C2212yescomplemented
123#16811283C2212yescomplemented
124#16811283C2214yescomplemented
125#16811283C2212yescomplemented
126#16811282C2212yescomplemented
127#16811281C2214yescomplemented
128#16811279C2212yescomplemented
129#16811270C2212yescomplemented
130#16811269C2212yescomplemented
131#16811269C2212yescomplemented
132#16811268C2212yescomplemented
133#16811266C2212yescomplemented
134#16811265C2214yescomplemented
135#16811264C2212yescomplemented
136#16811264C2212yescomplemented
137#16811262C2214yescomplemented
138#16811261C2212yescomplemented
139D4×D212C2211yescharacteristic, complemented
140D4×D212C2211yescharacteristic, complemented
141#16811257C2212yescomplemented
142#16811257C2212yescomplemented
143#16811247C2212yescomplemented
144#16811247C2212yescomplemented
145#16811247C2212yescomplemented
146#16811247C2212yescomplemented
147#16811247C2212yescomplemented
148#16811247C2214yescomplemented
149#16811246C2212yescomplemented
150#16811245C2212yescomplemented
151#16811245C2212yescomplemented
152#16811245C2212yescomplemented
153#16811245C2212yescomplemented
154#16811245C2212yescomplemented
155#16811245C2214yescomplemented
156#16811245C2214yescomplemented
157#16811244C2212yescomplemented
158#16811244C2214yescomplemented
159#16811243C2214yescomplemented
160#16811243C2214yescomplemented
161#16811243C2214yescomplemented
162#16811243C2214yescomplemented
163#16811242C2212yescomplemented
164#16811242C2214yescomplemented
165#16811240C2212yescomplemented
166#16811239C2214yescomplemented
167#16811239C2214yescomplemented
168#16811239C2214yescomplemented
169#16811239C2214yescomplemented
170#16811238C2212yescomplemented
171#16811237C2214yescomplemented
172#16811237C2214yescomplemented
173#16811213C2214yescomplemented
174#16811212C2214yescomplemented
175#16811212C2214yescomplemented
176#16811212C2214yescomplemented
177#16811210C2214yescomplemented
178#16811209C2214yescomplemented
179#16811207C2214yescomplemented
180#16811207C2214yescomplemented
181#16811207C2214yescomplemented
182#16811206C2214yescomplemented
183#16811206C2214yescomplemented
184#16811205C2214yescomplemented
185#16811199C2212yescomplemented
186#16811198C2214yescomplemented
187#16811197C2212yescomplemented
188#16811196C2212yescomplemented
189#16811196C2212yescomplemented
190#16811192C2212yes—
191#16811192C2212yes—
192#16811191C2214yes—
193#16811189C2212yes—
194#16811189C2212yes—
195#16811179C2211yescharacteristic, complemented
196#16811179C2212yescomplemented
197#16811178C2211yescharacteristic, complemented
198#16811178C2211yescharacteristic, complemented
199#16811178C2212yescomplemented
200#16811177C2211yescharacteristic, complemented
201#16811177C2211yescharacteristic, complemented
202#16811177C2211yescharacteristic, complemented
203#16811177C2214yescomplemented
204#16811176C2211yescharacteristic, complemented
205#16811176C2212yescomplemented
206#16811175C2211yescharacteristic, complemented
207#16811174C2211yescharacteristic
208#16811174C2211yescharacteristic
209#16811173C2211yescharacteristic
210#16811172C2211yescharacteristic
211#16811170C2211yescharacteristic
212#16811170C2211yescharacteristic
213#16811170C2211yescharacteristic
214#16811169C2211yescharacteristic
215#16811168C2211yescharacteristic
216#16811160C2211yescharacteristic, complemented
217#16811160C2211yescharacteristic, complemented
218#16811160C2212yescomplemented
219#16811160C2212yescomplemented
220#16811160C2212yescomplemented
221#16811160C2212yescomplemented
222#16811159C2212yescomplemented
223#16811159C2212yescomplemented
224#16811159C2212yescomplemented
225#16811158C2211yescharacteristic, complemented
226#16811158C2212yescomplemented
227#16811158C2212yescomplemented
228#16811158C2212yescomplemented
229#16811158C2212yescomplemented
230#16811157C2211yescharacteristic, complemented
231#16811157C2212yescomplemented
232#16811156C2212yescomplemented
233#16811156C2212yescomplemented
234#16811156C2214yescomplemented
235#16811155C2211yescharacteristic, complemented
236#16811155C2211yescharacteristic, complemented
237#16811154C2212yescomplemented
238#16811153C2212yescomplemented
239#16811153C2212yescomplemented
240#16811152C2211yescharacteristic, complemented
241#16811151C2212yescomplemented
242#16811151C2212yescomplemented
243#16811151C2212yescomplemented
244#16811151C2214yescomplemented
245#16811150C2212yescomplemented
246C2×#13133206C2212yescomplemented
247C2×#13133205C2212yescomplemented
248#124×D53C2212yescomplemented
249#124×D53C2214yescomplemented
250#124×D53C2212yescomplemented
251#16811136C2211yescharacteristic, complemented
252#16811136C2212yescomplemented
253#16811136C2212yescomplemented
254#16811135C2211yescharacteristic, complemented
255#16811135C2212yescomplemented
256#16811133C2211yescharacteristic, complemented
257#16811132C2212yescomplemented
258#16811132C2212yescomplemented
259#16811132C2212yescomplemented
260#16811131C2212yescomplemented
261#16811130C2211yescharacteristic, complemented
262#16811100C2212yescomplemented
263#16811099C2212yescomplemented
264#16811099C2214yescomplemented
265#16811099C2212yescomplemented
266#16811097C2212yescomplemented
267#16811097C2212yescomplemented
268#16811095C2212yescomplemented
269#16811095C2214yescomplemented
270#16811095C2212yescomplemented
271C4×#11719949C2211yescharacteristic, complemented
272C4×#11719949C2212yescomplemented
273C4×#11719949C2212yescomplemented
274C4×#11719945C2212yescomplemented
275C4×#11719945C2212yescomplemented
276C4×#11719945C2211yescharacteristic, complemented
277#16811091C2212yescomplemented
278#16811091C2212yescomplemented
279C4×#11719947C2212yescomplemented
280C4×#11719947C2211yescharacteristic, complemented
281C2×C42×D53C2211yescharacteristic, complemented
282Q82×C53C2211yescharacteristic, complemented
283C53×#556C2214yescomplemented
284C53×#556C2211yescharacteristic, complemented
285C53×#556C2212yescomplemented
286C53×#556C2212yescomplemented
287C53×#555C2211yescharacteristic, complemented
288C53×#555C2212yescomplemented
289D4×Q8×C53C2211yescharacteristic, complemented
290C53×#548C2212yescomplemented
291C53×#542C2212yescomplemented
292C53×#542C2214yescomplemented
293C53×#533C2211yescharacteristic, complemented
294C53×#533C2212yescomplemented
295C53×#529C2211yescharacteristic, complemented
296C53×#529C2212yescomplemented
297C53×#519C2212yescomplemented
298C4×#41×C53C2211yescharacteristic, complemented
299C2×#11719949C2311yescharacteristic
300C2×#11719949C2312yes—
301C2×#11719949C2312yes—
302C2×#11719945C2312yes—
303C2×#11719945C2311yescharacteristic
304C2×#11719945C2312yes—
305C2×#11719945C2312yes—
306C2×#11719945C2312yes—
307C2×#11719947C2311yescharacteristic
308C2×#11719947C2312yes—
309C22×Dic106C2312yes—
310C2×Q8×D53C2314yes—
311C2×Q8×D53C2312yes—
312C2×Q8×D53C2312yes—
313C22×D212C2312yes—
314C22×D212C2312yes—
315C2×D4×D53C2314yes—
316C2×D4×D53C2312yes—
317C2×D4×D53C2312yes—
318C22×C4×D53C2311yescharacteristic
319C22×C4×D53C2311yescharacteristic
320C22×C4×D53C2311yescharacteristic
321#13133217C2311yescharacteristic
322#13133217C2312yes—
323#13133217C2314yes—
324#13133216C2314yes—
325#13133216C2311yescharacteristic
326#13133216C2311yescharacteristic
327#13133216C2312yes—
328#13133216C2312yes—
329#13133216C2312yes—
330#13133216C2312yes—
331#13133216C2311yescharacteristic
332#13133216C2311yescharacteristic
333#13133216C2314yes—
334#13133216C2314yes—
335#13133215C2311yescharacteristic
336#13133215C2311yescharacteristic
337#13133215C2314yes—
338#13133215C2314yes—
339#13133215C2314yes—
340#13133214C2314yes—
341#13133214C2311yescharacteristic
342#13133213C2311yescharacteristic
343#13133213C2314yes—
344#13133213C2311yescharacteristic
345#13133212C2314yes—
346#13133212C2314yes—
347#13133212C2312yes—
348#13133212C2314yes—
349#13133212C2314yes—
350#13133212C2314yes—
351#13133212C2312yes—
352#13133212C2312yes—
353#13133212C2314yes—
354#13133212C2314yes—
355#13133212C2314yes—
356#13133212C2314yes—
357#13133212C2314yes—
358#13133212C2314yes—
359#13133212C2314yes—
360#13133212C2314yes—
361#13133212C2314yes—
362#13133211C2312yes—
363#13133211C2314yes—
364#13133211C2314yes—
365#13133211C2314yes—
366#13133211C2314yes—
367#13133211C2314yes—
368#13133211C2314yes—
369#13133210C2312yes—
370#13133210C2314yes—
371#13133210C2314yes—
372#13133210C2314yes—
373#13133210C2312yes—
374#13133210C2314yes—
375#13133210C2312yes—
376#13133210C2314yes—
377#13133210C2314yes—
378#13133209C2311yescharacteristic
379#13133208C2312yes—
380#13133208C2312yes—
381#13133208C2311yescharacteristic
382#13133208C2311yescharacteristic
383#13133207C2312yes—
384#13133207C2312yes—
385#13133207C2312yes—
386#13133207C2312yes—
387#13133206C2312yes—
388#13133206C2312yes—
389#13133206C2314yes—
390#13133206C2314yes—
391#13133206C2312yes—
392#13133206C2314yes—
393#13133206C2314yes—
394#13133206C2314yes—
395#13133206C2314yes—
396#13133206C2314yes—
397#13133206C2314yes—
398#13133206C2312yes—
399#13133206C2312yes—
400#13133206C2311yescharacteristic
401#13133205C2312yes—
402#13133205C2312yes—
403#13133205C2312yes—
404#13133205C2314yes—
405#13133205C2314yes—
406#13133205C2314yes—
407#13133205C2314yes—
408#13133205C2314yes—
409#13133205C2314yes—
410#13133205C2314yes—
411#13133205C2314yes—
412#13133205C2314yes—
413#13133205C2312yes—
414#13133205C2311yescharacteristic
415#13133204C2312yes—
416#13133204C2314yes—
417#13133204C2311yescharacteristic
418#13133203C2314yes—
419#13133203C2314yes—
420#13133203C2314yes—
421#13133203C2314yes—
422#13133203C2314yes—
423#13133203C2314yes—
424#13133203C2314yes—
425#13133203C2314yes—
426#13133203C2314yes—
427#13133203C2314yes—
428#13133203C2314yes—
429#13133203C2314yes—
430#13133203C2314yes—
431#13133203C2314yes—
432#13133203C2314yes—
433#13133203C2314yes—
434#13133203C2312yes—
435#13133203C2312yes—
436#13133203C2312yes—
437#13133203C2312yes—
438#13133202C2314yes—
439#13133202C2314yes—
440#13133202C2314yes—
441#13133202C2314yes—
442#13133202C2314yes—
443#13133202C2312yes—
444#13133202C2314yes—
445#13133202C2314yes—
446#13133202C2314yes—
447#13133202C2314yes—
448#13133202C2314yes—
449#13133202C2314yes—
450#13133202C2314yes—
451#13133202C2314yes—
452#13133202C2312yes—
453#13133202C2312yes—
454#13133202C2312yes—
455#13133202C2314yes—
456#13133201C2314yes—
457#13133201C2314yes—
458#13133201C2314yes—
459#13133201C2312yes—
460#13133201C2314yes—
461#13133200C2314yes—
462#13133200C2314yes—
463#13133200C2314yes—
464#13133200C2312yes—
465#13133199C2314yes—
466#13133199C2314yes—
467#13133199C2314yes—
468#13133199C2312yes—
469#13133199C2312yes—
470#13133199C2314yes—
471#13133199C2312yes—
472#13133199C2312yes—
473#13133198C2314yes—
474#13133198C2312yes—
475#13133197C2312yes—
476#13133197C2312yes—
477#13133197C2312yes—
478#13133197C2311yescharacteristic
479#13133197C2314yes—
480#13133197C2314yes—
481#13133197C2314yes—
482#13133197C2311yescharacteristic
483#13133197C2311yescharacteristic
484#13133197C2312yes—
485#13133196C2312yes—
486#13133196C2312yes—
487#13133196C2311yescharacteristic
488#13133196C2314yes—
489#13133195C2314yes—
490#13133195C2314yes—
491#13133195C2312yes—
492#13133195C2314yes—
493#13133195C2314yes—
494#13133195C2314yes—
495#13133195C2314yes—
496#13133195C2314yes—
497#13133195C2314yes—
498#13133195C2314yes—
499#13133195C2314yes—
500#13133195C2312yes—
501#13133195C2312yes—
502#13133195C2312yes—
503#13133195C2312yes—
504#13133194C2314yes—
505#13133194C2312yes—
506#13133194C2314yes—
507#13133194C2314yes—
508#13133194C2314yes—
509#13133194C2312yes—
510#13133194C2312yes—
511#13133193C2312yes—
512#13133193C2314yes—
513#13133193C2311yescharacteristic
514#13133193C2314yes—
515#13133193C2314yes—
516#13133193C2312yes—
517#13133193C2314yes—
518#13133193C2314yes—
519#13133193C2311yescharacteristic
520#13133193C2311yescharacteristic
521#13133193C2312yes—
522#13133193C2312yes—
523#13133192C2311yescharacteristic
524#13133192C2312yes—
525#13133192C2314yes—
526#13133192C2314yes—
527#13133192C2314yes—
528#13133192C2312yes—
529#13133192C2312yes—
530#13133192C2312yes—
531#13133192C2312yes—
532#13133192C2312yes—
533#13133192C2311yescharacteristic
534#13133192C2311yescharacteristic
535#13133192C2312yes—
536#13133192C2312yes—
537#13133191C2314yes—
538#13133191C2311yescharacteristic
539#13133191C2312yes—
540#13133191C2312yes—
541#13133191C2312yes—
542#13133191C2312yes—
543#13133190C2312yes—
544#13133190C2314yes—
545#13133190C2314yes—
546#13133190C2314yes—
547#13133190C2314yes—
548#13133190C2314yes—
549#13133190C2314yes—
550#13133190C2312yes—
551#13133190C2312yes—
552#13133190C2312yes—
553#13133190C2312yes—
554#13133189C2314yes—
555#13133189C2314yes—
556#13133189C2312yes—
557#13133189C2312yes—
558#13133189C2312yes—
559#13133188C2311yescharacteristic
560#13133188C2314yes—
561#13133188C2311yescharacteristic
562#13133188C2311yescharacteristic
563#13133187C2314yes—
564#13133187C2314yes—
565#13133187C2314yes—
566#13133187C2314yes—
567#13133187C2314yes—
568#13133187C2314yes—
569#13133187C2314yes—
570#13133187C2314yes—
571#13133187C2314yes—
572#13133187C2312yes—
573#13133187C2312yes—
574#13133185C2314yes—
575#13133185C2314yes—
576#13133185C2314yes—
577#13133185C2314yes—
578#13133185C2312yes—
579#13133185C2312yes—
580Q8×Dic53C2312yes—
581Q8×Dic53C2312yes—
582Q8×Dic53C2312yes—
583Q8×Dic53C2314yes—
584Q8×Dic53C2311yescharacteristic
585C4×Dic106C2314yes—
586C4×Dic106C2312yes—
587C4×Dic106C2311yescharacteristic
588C4×Dic106C2312yes—
589C4×Dic106C2312yes—
590C4×Dic106C2311yescharacteristic
591C4×Dic106C2312yes—
592C4×Dic106C2314yes—
593C4×Dic106C2314yes—
594C4×Dic106C2312yes—
595C4×Dic106C2314yes—
596C4×Dic106C2314yes—
597C4×Dic106C2314yes—
598C4×Dic106C2312yes—
599C4×Dic106C2311yescharacteristic
600#13133182C2312yes—
601#13133182C2314yes—
602#13133182C2312yes—
603#13133182C2312yes—
604#13133182C2312yes—
605#13133182C2314yes—
606#13133182C2312yes—
607#13133182C2314yes—
608#13133182C2314yes—
609#13133182C2312yes—
610#13133182C2312yes—
611#13133182C2311yescharacteristic
612#13133182C2312yes—
613C4×D212C2312yes—
614C4×D212C2312yes—
615C4×D212C2312yes—
616C4×D212C2312yes—
617C4×D212C2312yes—
618C4×D212C2314yes—
619C4×D212C2314yes—
620C4×D212C2314yes—
621C4×D212C2311yescharacteristic
622C4×D212C2311yescharacteristic
623C4×D212C2312yes—
624C4×D212C2312yes—
625C4×D212C2314yes—
626C4×D212C2312yes—
627C4×D212C2311yescharacteristic
628C4×D212C2312yes—
629C4×D212C2312yes—
630C4×D212C2314yes—
631D4×Dic53C2314yes—
632D4×Dic53C2312yes—
633D4×Dic53C2311yescharacteristic
634D4×Dic53C2312yes—
635#13133179C2312yes—
636#13133179C2312yes—
637#13133179C2314yes—
638#13133179C2312yes—
639#13133179C2314yes—
640#13133179C2314yes—
641#13133179C2314yes—
642#13133179C2312yes—
643#13133179C2312yes—
644#13133179C2312yes—
645#13133179C2312yes—
646#13133179C2314yes—
647#13133179C2312yes—
648#13133179C2312yes—
649#13133179C2311yescharacteristic
650#13133179C2312yes—
651C4×C22⋊D53C2312yes—
652C4×C22⋊D53C2312yes—
653C4×C22⋊D53C2312yes—
654C4×C22⋊D53C2314yes—
655C4×C22⋊D53C2312yes—
656C4×C22⋊D53C2314yes—
657C4×C22⋊D53C2312yes—
658C4×C22⋊D53C2312yes—
659C4×C22⋊D53C2314yes—
660C4×C22⋊D53C2312yes—
661C4×C22⋊D53C2312yes—
662C4×C22⋊D53C2312yes—
663C4×C22⋊D53C2312yes—
664C4×C22⋊D53C2312yes—
665C4×C22⋊D53C2312yes—
666C4×C22⋊D53C2312yes—
667#13133177C2314yes—
668#13133177C2314yes—
669#13133177C2314yes—
670#13133177C2314yes—
671#13133177C2312yes—
672#13133177C2312yes—
673#13133177C2312yes—
674#13133177C2312yes—
675#13133177C2312yes—
676#13133177C2312yes—
677#13133177C2312yes—
678#13133177C2314yes—
679#13133176C2312yes—
680#13133176C2312yes—
681#13133176C2311yescharacteristic
682#13133176C2312yes—
683#13133175C2314yes—
684#13133175C2312yes—
685#13133175C2314yes—
686#13133175C2314yes—
687#13133175C2314yes—
688#13133175C2312yes—
689#13133175C2314yes—
690#13133175C2311yescharacteristic
691#13133175C2312yes—
692#13133175C2312yes—
693#13133175C2312yes—
694#13133175C2312yes—
695#13133175C2312yes—
696#13133175C2311yescharacteristic
697#13133175C2314yes—
698#13133175C2312yes—
699#13133174C2312yes—
700#13133174C2314yes—
701#13133174C2314yes—
702#13133174C2314yes—
703#13133174C2314yes—
704#13133174C2312yes—
705#13133174C2314yes—
706#13133174C2314yes—
707#13133174C2314yes—
708#13133174C2312yes—
709#13133174C2312yes—
710#13133174C2312yes—
711#13133174C2312yes—
712#13133174C2312yes—
713#13133173C2314yes—
714#13133173C2314yes—
715#13133173C2312yes—
716#13133173C2312yes—
717#13133173C2312yes—
718C2×#11719921C2314yes—
719C2×#11719921C2314yes—
720C2×#11719921C2314yes—
721C2×#11719921C2314yes—
722C22⋊C4×D53C2314yes—
723C22⋊C4×D53C2314yes—
724C22⋊C4×D53C2314yes—
725C22⋊C4×D53C2314yes—
726C22⋊C4×D53C2314yes—
727C22⋊C4×D53C2314yes—
728C22⋊C4×D53C2314yes—
729C22⋊C4×D53C2314yes—
730C2×C4×Dic53C2311yescharacteristic
731C2×C4×Dic53C2311yescharacteristic
732C2×C4×Dic53C2311yescharacteristic
733C2×C4×Dic53C2312yes—
734C42×D53C2311yescharacteristic
735C42×D53C2311yescharacteristic
736C42×D53C2311yescharacteristic
737C42×D53C2311yescharacteristic
738C42×D53C2311yescharacteristic
739C42×D53C2311yescharacteristic
740C42×D53C2311yescharacteristic
741C42×D53C2311yescharacteristic
742C42×D53C2312yes—
743C42×D53C2314yes—
744C42×D53C2312yes—
745C2×#41×C53C2311yescharacteristic
746C22×Q8×C53C2312yes—
747C4⋊Q8×C53C2311yescharacteristic
748C4⋊Q8×C53C2312yes—
749C4⋊Q8×C53C2312yes—
750C4⋊Q8×C53C2312yes—
751C4⋊Q8×C53C2311yescharacteristic
752C4⋊Q8×C53C2314yes—
753#126×C53C2312yes—
754#126×C53C2314yes—
755#126×C53C2314yes—
756#126×C53C2314yes—
757#126×C53C2314yes—
758#125×C53C2312yes—
759#125×C53C2311yescharacteristic
760#124×C53C2312yes—
761#124×C53C2314yes—
762#124×C53C2314yes—
763#124×C53C2311yescharacteristic
764#124×C53C2314yes—
765#124×C53C2314yes—
766#123×C53C2314yes—
767#123×C53C2312yes—
768C22⋊Q8×C53C2312yes—
769C22⋊Q8×C53C2312yes—
770C22⋊Q8×C53C2311yescharacteristic
771C22⋊Q8×C53C2314yes—
772C22⋊Q8×C53C2312yes—
773C22⋊Q8×C53C2314yes—
774C22⋊Q8×C53C2314yes—
775C22⋊Q8×C53C2312yes—
776#121×C53C2311yescharacteristic
777#121×C53C2312yes—
778#121×C53C2312yes—
779#121×C53C2314yes—
780C4×Q8×C53C2312yes—
781C4×Q8×C53C2312yes—
782C4×Q8×C53C2311yescharacteristic
783C4×Q8×C53C2311yescharacteristic
784C4×Q8×C53C2311yescharacteristic
785C4×Q8×C53C2314yes—
786C4×Q8×C53C2312yes—
787C4×Q8×C53C2312yes—
788C4×Q8×C53C2314yes—
789C4×Q8×C53C2312yes—
790C4×Q8×C53C2314yes—
791C4×D4×C53C2312yes—
792C4×D4×C53C2312yes—
793C4×D4×C53C2312yes—
794C4×D4×C53C2311yescharacteristic
795C4×D4×C53C2311yescharacteristic
796C4×D4×C53C2312yes—
797C4×D4×C53C2314yes—
798C4×D4×C53C2311yescharacteristic
799#117×C53C2312yes—
800#117×C53C2311yescharacteristic
801#117×C53C2314yes—
802#117×C53C2314yes—
803#117×C53C2312yes—
804#117×C53C2312yes—
805#117×C53C2312yes—
806#117×C53C2312yes—
807#117×C53C2312yes—
808C2×C42×C53C2311yescharacteristic
809C2×C42×C53C2312yes—
810C23×D53C2414yes—
811C23×D53C2414yes—
812C23×D53C2411yescharacteristic
813#41×C53—42no—
814C2×Q8×C53—44no—
815C2×Q8×C53C2411yescharacteristic
816C2×Q8×C53C2411yescharacteristic
817C2×Q8×C53C2412yes—
818C2×Q8×C53C2414yes—
819C2×Q8×C53C2414yes—
820C2×Q8×C53C2412yes—
821C2×D4×C53C2411yescharacteristic
822C2×D4×C53C2411yescharacteristic
823C2×D4×C53C2412yes—
824C2×D4×C53C2412yes—
825C2×D4×C53C2414yes—
826C22×C4×C53C2411yescharacteristic
827C22×C4×C53C2412yes—
828C22×C4×C53C2411yescharacteristic
829C22×C4×C53C2412yes—
830C22×C4×C53C2412yes—
831C22×C4×C53C2411yescharacteristic
832C22×C4×C53C2412yes—
833C22×C4×C53C2414yes—
834C2×C22⋊D53C2412yes—
835C2×C22⋊D53C2412yes—
836C2×C22⋊D53C2412yes—
837C2×C22⋊D53C2414yes—
838C2×C22⋊D53C2412yes—
839C2×C22⋊D53C2412yes—
840C2×C22⋊D53C2412yes—
841C2×C22⋊D53C2414yes—
842C2×C22⋊D53C2414yes—
843C2×C22⋊D53C2412yes—
844C2×C22⋊D53C2412yes—
845C2×C22⋊D53C2412yes—
846C2×C22⋊D53C2412yes—
847C22×Dic53C2411yescharacteristic
848C22×Dic53C2411yescharacteristic
849C22×Dic53C2411yescharacteristic
850C22×Dic53C2412yes—
851C22×Dic53C2412yes—
852C22×Dic53C2414yes—
853#11719949—44no—
854#11719949—42no—
855#11719949—44no—
856Q8×D53—48no—
857Q8×D53—44no—
858Q8×D53—44no—
859#11719947—42no—
860#11719947—44no—
861D4×D53—44no—
862D4×D53—44no—
863D4×D53—48no—
864#11719945—44no—
865#11719945—44no—
866#11719945—42no—
867#11719945—44no—
868#11719945—44no—
869C2×D212—44no—
870C2×D212—44no—
871C2×D212C2411yescharacteristic
872C2×D212C2412yes—
873C2×D212C2412yes—
874C2×D212C2411yescharacteristic
875C2×D212C2412yes—
876C2×D212C2414yes—
877C2×D212C2412yes—
878C2×D212C2412yes—
879C2×D212C2414yes—
880C2×D212C2414yes—
881C2×D212C2414yes—
882C2×D212C2412yes—
883C2×D212C2412yes—
884C2×D212C2414yes—
885C2×C4×D53—42no—
886C2×C4×D53—42no—
887C2×C4×D53—42no—
888C2×C4×D53C2411yescharacteristic
889C2×C4×D53C2411yescharacteristic
890C2×C4×D53C2411yescharacteristic
891C2×C4×D53C2411yescharacteristic
892C2×C4×D53C2411yescharacteristic
893C2×C4×D53C2411yescharacteristic
894C2×C4×D53C2414yes—
895C2×C4×D53C2412yes—
896C2×C4×D53C2412yes—
897C2×C4×D53C2411yescharacteristic
898C2×C4×D53C2411yescharacteristic
899C2×C4×D53C2411yescharacteristic
900C2×C4×D53C2411yescharacteristic
901C2×C4×D53C2411yescharacteristic
902C2×C4×D53C2411yescharacteristic
903C2×C4×D53C2414yes—
904C2×C4×D53C2412yes—
905C2×C4×D53C2412yes—
906C2×C4×D53C2412yes—
907C2×C4×D53C2414yes—
908C2×C4×D53C2412yes—
909C2×C4×D53C2414yes—
910C2×C4×D53C2414yes—
911C2×C4×D53C2414yes—
912C2×C4×D53C2414yes—
913C2×Dic106—44no—
914C2×Dic106C2412yes—
915C2×Dic106C2411yescharacteristic
916C2×Dic106C2412yes—
917C2×Dic106C2411yescharacteristic
918C2×Dic106C2412yes—
919C2×Dic106C2412yes—
920C2×Dic106C2414yes—
921C2×Dic106C2414yes—
922C2×Dic106C2414yes—
923C2×Dic106C2414yes—
924C2×Dic106C2412yes—
925C4⋊C4×C53C2411yescharacteristic
926C4⋊C4×C53C2412yes—
927C4⋊C4×C53C2412yes—
928C4⋊C4×C53C2411yescharacteristic
929C4⋊C4×C53C2411yescharacteristic
930C4⋊C4×C53C2412yes—
931C4⋊C4×C53C2411yescharacteristic
932C4⋊C4×C53C2412yes—
933C4⋊C4×C53C2412yes—
934C4⋊C4×C53C2414yes—
935C4⋊C4×C53C2414yes—
936C4⋊C4×C53C2412yes—
937C4⋊C4×C53C2412yes—
938C4⋊C4×C53C2414yes—
939C4⋊C4×C53C2412yes—
940C4⋊C4×C53C2414yes—
941C4⋊C4×C53C2412yes—
942C4⋊C4×C53C2414yes—
943C4⋊C4×C53C2412yes—
944C4⋊C4×C53C2414yes—
945C22⋊C4×C53C2412yes—
946C22⋊C4×C53C2414yes—
947C22⋊C4×C53C2412yes—
948C22⋊C4×C53C2412yes—
949C22⋊C4×C53C2412yes—
950C22⋊C4×C53C2412yes—
951C22⋊C4×C53C2414yes—
952C22⋊C4×C53C2414yes—
953C22⋊C4×C53C2414yes—
954C22⋊C4×C53C2412yes—
955C22⋊C4×C53C2414yes—
956C22⋊C4×C53C2412yes—
957C22⋊C4×C53C2414yes—
958C22⋊C4×C53C2412yes—
959C42×C53C2411yescharacteristic
960C42×C53C2411yescharacteristic
961C42×C53C2412yes—
962C42×C53C2411yescharacteristic
963C42×C53C2412yes—
964C42×C53C2411yescharacteristic
965C42×C53C2412yes—
966C42×C53C2414yes—
967C42×C53C2414yes—
968C42×C53C2414yes—
969C42×C53C2412yes—
970C42×C53C2414yes—
971C22⋊Dic53C2412yes—
972C22⋊Dic53C2412yes—
973C22⋊Dic53C2412yes—
974C22⋊Dic53C2412yes—
975C22⋊Dic53C2414yes—
976C22⋊Dic53C2414yes—
977C22⋊Dic53C2414yes—
978C22⋊Dic53C2412yes—
979C22⋊Dic53C2412yes—
980C22⋊Dic53C2412yes—
981C22⋊Dic53C2412yes—
982#11719921C2412yes—
983#11719921C2412yes—
984#11719921C2412yes—
985#11719921C2414yes—
986#11719921C2412yes—
987#11719921C2414yes—
988#11719921C2414yes—
989#11719921C2414yes—
990#11719921C2414yes—
991#11719921C2414yes—
992#11719921C2414yes—
993#11719921C2414yes—
994#11719921C2414yes—
995#11719921C2414yes—
996#11719921C2414yes—
997#11719921C2412yes—
998#11719921C2412yes—
999#11719921C2412yes—
1000#11719921C2414yes—
1001#11719921C2412yes—
1002#11719921C2414yes—
1003#11719921C2414yes—
1004#11719921C2414yes—
1005#11719921C2414yes—
1006#11719921C2414yes—
1007#11719921C2414yes—
1008#11719921C2414yes—
1009#11719921C2414yes—
1010#11719921C2414yes—
1011#11719921C2412yes—
1012#11719921C2412yes—
1013#11719921C2412yes—
1014#11719921C2412yes—
1015#11719921C2412yes—
1016#11719921C2412yes—
1017#11719921C2412yes—
1018#11719921C2412yes—
1019#11719921C2412yes—
1020#11719921C2412yes—
1021#11719921C2414yes—
1022#11719921C2412yes—
1023#11719921C2412yes—
1024#11719921C2414yes—
1025#11719921C2414yes—
1026C4⋊Dic53C2411yescharacteristic
1027C4⋊Dic53C2411yescharacteristic
1028C4⋊Dic53C2412yes—
1029C4⋊Dic53C2412yes—
1030C4⋊Dic53C2411yescharacteristic
1031C4⋊Dic53C2412yes—
1032C4⋊Dic53C2414yes—
1033C4⋊Dic53C2412yes—
1034C4⋊Dic53C2412yes—
1035C4⋊Dic53C2414yes—
1036C4⋊Dic53C2414yes—
1037C4⋊Dic53C2414yes—
1038C4⋊Dic53C2411yescharacteristic
1039C4⋊Dic53C2412yes—
1040C4⋊Dic53C2412yes—
1041C4⋊Dic53C2412yes—
1042#11719919C2412yes—
1043#11719919C2412yes—
1044#11719919C2414yes—
1045#11719919C2412yes—
1046#11719919C2412yes—
1047#11719919C2412yes—
1048#11719919C2412yes—
1049#11719919C2414yes—
1050#11719919C2414yes—
1051#11719919C2412yes—
1052#11719919C2412yes—
1053#11719919C2412yes—
1054#11719919C2412yes—
1055#11719919C2412yes—
1056#11719919C2412yes—
1057#11719919C2412yes—
1058#11719919C2412yes—
1059#11719919C2412yes—
1060#11719919C2414yes—
1061#11719919C2412yes—
1062#11719919C2412yes—
1063#11719919C2412yes—
1064#11719919C2412yes—
1065#11719919C2412yes—
1066#11719919C2414yes—
1067#11719919C2414yes—
1068#11719919C2414yes—
1069#11719919C2414yes—
1070C4×Dic53C2411yescharacteristic
1071C4×Dic53C2411yescharacteristic
1072C4×Dic53C2411yescharacteristic
1073C4×Dic53C2411yescharacteristic
1074C4×Dic53C2411yescharacteristic
1075C4×Dic53C2411yescharacteristic
1076C4×Dic53C2411yescharacteristic
1077C4×Dic53C2411yescharacteristic
1078C4×Dic53C2411yescharacteristic
1079C4×Dic53C2411yescharacteristic
1080C4×Dic53C2411yescharacteristic
1081C4×Dic53C2411yescharacteristic
1082C4×Dic53C2412yes—
1083C4×Dic53C2414yes—
1084C4×Dic53C2412yes—
1085C4×Dic53C2412yes—
1086C4×Dic53C2412yes—
1087C4×Dic53C2412yes—
1088C4×Dic53C2414yes—
1089C4×Dic53C2412yes—
1090C4×Dic53C2412yes—
1091C4×Dic53C2412yes—
1092C4×Dic53C2414yes—
1093C4×Dic53C2414yes—
1094C4×Dic53C2414yes—
1095C4×Dic53C2414yes—
1096C4×Dic53C2414yes—
1097C23×C53C2511yescharacteristic
1098C23×C53C2512yes—
1099C23×C53C2512yes—
1100C22×D53—41no—
1101C22×D53—41no—
1102C22×D53—41no—
1103C22×D53—44no—
1104C22×D53—44no—
1105C22×D53—44no—
1106C22×D53—44no—
1107C22×D53—44no—
1108C22×D53—44no—
1109C22×D53C2511yescharacteristic
1110C22×D53C2511yescharacteristic
1111C22×D53C2514yes—
1112C22×D53C2512yes—
1113C22×D53C2512yes—
1114Q8×C53—22no—
1115Q8×C53—24no—
1116Q8×C53—22no—
1117Q8×C53—44no—
1118Q8×C53—42no—
1119Q8×C53—44no—
1120D4×C53—22no—
1121D4×C53—22no—
1122D4×C53—44no—
1123D4×C53—42no—
1124D4×C53—42no—
1125C2×C4×C53—24no—
1126C2×C4×C53—22no—
1127C2×C4×C53—22no—
1128C2×C4×C53—24no—
1129C2×C4×C53—41no—
1130C2×C4×C53—42no—
1131C2×C4×C53—44no—
1132C2×C4×C53—42no—
1133C2×C4×C53C2512yes—
1134C2×C4×C53C2512yes—
1135C2×C4×C53C2512yes—
1136C2×C4×C53C2512yes—
1137C2×C4×C53C2514yes—
1138C2×C4×C53C2514yes—
1139C2×C4×C53C2512yes—
1140C2×C4×C53C2511yescharacteristic
1141C2×C4×C53C2511yescharacteristic
1142C2×C4×C53C2511yescharacteristic
1143C2×C4×C53C2511yescharacteristic
1144C2×C4×C53C2512yes—
1145C2×C4×C53C2511yescharacteristic
1146C2×C4×C53C2511yescharacteristic
1147C22⋊D53—24no—
1148C22⋊D53—24no—
1149C22⋊D53—42no—
1150C22⋊D53—42no—
1151C22⋊D53—44no—
1152C22⋊D53—42no—
1153C22⋊D53—42no—
1154C22⋊D53—42no—
1155C22⋊D53—42no—
1156C22⋊D53—44no—
1157C22⋊D53—44no—
1158C22⋊D53—42no—
1159C22⋊D53—42no—
1160C2×Dic53—22no—
1161C2×Dic53—44no—
1162C2×Dic53—41no—
1163C2×Dic53—41no—
1164C2×Dic53—42no—
1165C2×Dic53—42no—
1166C2×Dic53C2512yes—
1167C2×Dic53C2512yes—
1168C2×Dic53C2512yes—
1169C2×Dic53C2514yes—
1170C2×Dic53C2512yes—
1171C2×Dic53C2512yes—
1172C2×Dic53C2512yes—
1173C2×Dic53C2511yescharacteristic
1174C2×Dic53C2511yescharacteristic
1175C2×Dic53C2511yescharacteristic
1176C2×Dic53C2511yescharacteristic
1177C2×Dic53C2511yescharacteristic
1178C2×Dic53C2511yescharacteristic
1179D212—22no—
1180D212—22no—
1181D212—24no—
1182D212—24no—
1183D212—44no—
1184D212—44no—
1185D212—42no—
1186D212—42no—
1187D212—42no—
1188D212—44no—
1189D212—42no—
1190D212—44no—
1191D212—44no—
1192D212—42no—
1193C4×D53—22no—
1194C4×D53—22no—
1195C4×D53—22no—
1196C4×D53—22no—
1197C4×D53—24no—
1198C4×D53—24no—
1199C4×D53—22no—
1200C4×D53—22no—
1201C4×D53—28no—
1202C4×D53—41no—
1203C4×D53—41no—
1204C4×D53—41no—
1205C4×D53—41no—
1206C4×D53—41no—
1207C4×D53—41no—
1208C4×D53—42no—
1209C4×D53—42no—
1210C4×D53—44no—
1211C4×D53—42no—
1212C4×D53—44no—
1213C4×D53—44no—
1214C4×D53—44no—
1215C4×D53—44no—
1216C4×D53—44no—
1217C4×D53—42no—
1218Dic106—22no—
1219Dic106—24no—
1220Dic106—22no—
1221Dic106—24no—
1222Dic106—24no—
1223Dic106—44no—
1224Dic106—42no—
1225Dic106—42no—
1226Dic106—44no—
1227Dic106—44no—
1228Dic106—44no—
1229#62841—531nomaximal, Sylow
1230C22×C53—21no—
1231C22×C53—22no—
1232C22×C53—22no—
1233C22×C53—21no—
1234C22×C53—22no—
1235C22×C53—21no—
1236C22×C53—22no—
1237C22×C53—22no—
1238C22×C53—22no—
1239C22×C53C2611yescharacteristic
1240C2×D53—24no—
1241C2×D53—22no—
1242C2×D53—22no—
1243C2×D53—21no—
1244C2×D53—21no—
1245C2×D53—21no—
1246C2×D53—21no—
1247C2×D53—21no—
1248C2×D53—21no—
1249C2×D53—22no—
1250C2×D53—22no—
1251C2×D53—24no—
1252C2×D53—24no—
1253C2×D53—22no—
1254C2×D53—22no—
1255C2×D53—44no—
1256C2×D53—164no—
1257C2×D53—164no—
1258C4×C53—22no—
1259C4×C53—22no—
1260C4×C53—22no—
1261C4×C53—22no—
1262C4×C53—24no—
1263C4×C53—24no—
1264C4×C53—22no—
1265C4×C53—21no—
1266C4×C53—21no—
1267C4×C53—21no—
1268C4×C53—21no—
1269C4×C53—22no—
1270C4×C53#58512yes—
1271C4×C53#58512yes—
1272Dic53—22no—
1273Dic53—22no—
1274Dic53—22no—
1275Dic53—24no—
1276Dic53—22no—
1277Dic53—22no—
1278Dic53—22no—
1279Dic53—21no—
1280Dic53—21no—
1281Dic53—21no—
1282Dic53—21no—
1283Dic53—21no—
1284Dic53#58512yes—
1285#3568—534no—
1286#3568—534no—
1287#3550—531no—
1288#3550—531no—
1289#3550—531no—
1290#3549—531no—
1291#3540—532no—
1292#3540—532no—
1293#3540—532no—
1294#3540—532no—
1295#3540—534no—
1296#3518—531no—
1297#3518—532no—
1298#3518—532no—
1299#3518—531no—
1300#3518—532no—
1301#3518—531no—
1302#3518—532no—
1303#3518D5311yescharacteristic, complemented
1304#3514—531no—
1305#3514—532no—
1306#3514—531no—
1307#3514—532no—
1308#3514—532no—
1309#3514—532no—
1310#3514—531no—
1311#3514—531no—
1312#3510—534no—
1313#3510—532no—
1314#3510—532no—
1315#3510—532no—
1316#3510—532no—
1317#3444—531no—
1318#3444—531no—
1319#3444—531no—
1320C2×C53—41no—
1321C2×C53—42no—
1322C2×C53—42no—
1323C2×C53C2×#58511yescharacteristic
1324C2×C53C2×#58511yescharacteristic
1325C2×C53C2×#58511yescharacteristic
1326D53—41no—
1327D53—41no—
1328D53—44no—
1329D53—42no—
1330D53—42no—
1331#563—534no—
1332#563—534no—
1333#563—534no—
1334H(3,𝔽4)—534no—
1335H(3,𝔽4)—534no—
1336H(3,𝔽4)—534no—
1337#560—534no—
1338#560—534no—
1339#559—534no—
1340#559—532no—
1341#559—534no—
1342#559—534no—
1343#559—534no—
1344#559—534no—
1345#559—531no—
1346#559—531no—
1347#559—534no—
1348#559—532no—
1349Q82—532no—
1350Q82—531no—
1351Q82—532no—
1352Q82C2×D5311yescharacteristic, complemented
1353#556—534no—
1354#556—531no—
1355#556—532no—
1356#556—534no—
1357#556—534no—
1358#556—534no—
1359#556—534no—
1360#556—534no—
1361#556—532no—
1362#556—532no—
1363#556—534no—
1364#556—534no—
1365#556—534no—
1366#556—532no—
1367#556—532no—
1368#556—534no—
1369#556—534no—
1370#556—534no—
1371#556—531no—
1372#556—532no—
1373#556—531no—
1374#556—534no—
1375#556—532no—
1376#556—532no—
1377#556—532no—
1378#556—532no—
1379#556C2×D5314yescomplemented
1380#556C2×D5311yescharacteristic, complemented
1381#556C2×D5312yescomplemented
1382#556C2×D5312yescomplemented
1383#555—532no—
1384#555—532no—
1385#555—531no—
1386#555—534no—
1387#555—532no—
1388#555—532no—
1389#555—532no—
1390#555—532no—
1391#555—532no—
1392#555—534no—
1393#555—532no—
1394#555—532no—
1395#555C2×D5312yescomplemented
1396#555C2×D5311yescharacteristic, complemented
1397#551—534no—
1398#551—534no—
1399#551—534no—
1400#551—534no—
1401#551—534no—
1402#551—534no—
1403#551—534no—
1404#551—534no—
1405#551—534no—
1406#551—534no—
1407#551—534no—
1408#551—534no—
1409#551—534no—
1410#551—534no—
1411#551—534no—
1412#551—534no—
1413#551—534no—
1414#551—534no—
1415D4×Q8—532no—
1416D4×Q8—532no—
1417D4×Q8—532no—
1418D4×Q8—531no—
1419D4×Q8—532no—
1420D4×Q8—531no—
1421D4×Q8—531no—
1422D4×Q8C2×D5311yescharacteristic, complemented
1423#548—532no—
1424#548—534no—
1425#548—532no—
1426#548—532no—
1427#548—534no—
1428#548—532no—
1429#548—532no—
1430#548—532no—
1431#548—532no—
1432#548C2×D5312yescomplemented
1433#546—532no—
1434#546—532no—
1435#546—534no—
1436#546—532no—
1437#546—532no—
1438#546—532no—
1439#546—534no—
1440#546—532no—
1441#546—532no—
1442#546—532no—
1443D42—532no—
1444D42—532no—
1445D42—531no—
1446D42—531no—
1447#542—532no—
1448#542—532no—
1449#542—532no—
1450#542—532no—
1451#542—532no—
1452#542—534no—
1453#542—534no—
1454#542—534no—
1455#542—534no—
1456#542—534no—
1457#542—532no—
1458#542—534no—
1459#542—534no—
1460#542—534no—
1461#542—534no—
1462#542—532no—
1463#542—534no—
1464#542—534no—
1465#542—534no—
1466#542—532no—
1467#542—532no—
1468#542—532no—
1469#542—532no—
1470#542—532no—
1471#542—532no—
1472#542—534no—
1473#542—534no—
1474#542—532no—
1475#542—532no—
1476#542—534no—
1477#542C2×D5312yescomplemented
1478#542C2×D5314yescomplemented
1479#538—534no—
1480#538—534no—
1481#538—534no—
1482#538—534no—
1483#538—534no—
1484#538—534no—
1485#538—534no—
1486#538—534no—
1487#538—534no—
1488#538—534no—
1489#538—534no—
1490#538—534no—
1491#536—532no—
1492#536—534no—
1493#536—532no—
1494#536—532no—
1495#536—532no—
1496#535—534no—
1497#535—532no—
1498#535—532no—
1499#535—532no—
1500#535—532no—
1501#533—531no—
1502#533—531no—
1503#533—532no—
1504#533—531no—
1505#533—532no—
1506#533—531no—
1507#533—531no—
1508#533—531no—
1509#533—531no—
1510#533—534no—
1511#533—531no—
1512#533—532no—
1513#533C2×D5311yescharacteristic, complemented
1514#533C2×D5312yescomplemented
1515#532—531no—
1516#532—531no—
1517#532—531no—
1518#532—531no—
1519#532—531no—
1520#532—531no—
1521#532—531no—
1522#532—531no—
1523#532—531no—
1524#529—532no—
1525#529—532no—
1526#529—534no—
1527#529—532no—
1528#529—531no—
1529#529—532no—
1530#529—532no—
1531#529—532no—
1532#529—531no—
1533#529—532no—
1534#529—532no—
1535#529—532no—
1536#529—532no—
1537#529—532no—
1538#529—532no—
1539#529—531no—
1540#529—531no—
1541#529—532no—
1542#529—532no—
1543#529—532no—
1544#529—532no—
1545#529—532no—
1546#529—531no—
1547#529—531no—
1548#529—532no—
1549#529—532no—
1550#529—532no—
1551#529—534no—
1552#529—531no—
1553#529—532no—
1554#529C2×D5311yescharacteristic, complemented
1555#529C2×D5312yescomplemented
1556C2×#124—532no—
1557C2×#124—532no—
1558C2×#124—534no—
1559C2×#124—532no—
1560C2×#124—532no—
1561#525—531no—
1562#525—532no—
1563#525—532no—
1564#525—532no—
1565#525—531no—
1566#525—531no—
1567#525—532no—
1568#525—532no—
1569#525—532no—
1570#525—532no—
1571#525—531no—
1572#519—534no—
1573#519—532no—
1574#519—532no—
1575#519—532no—
1576#519C2×D5312yescomplemented
1577#518—534no—
1578#518—532no—
1579#518—532no—
1580#518—532no—
1581#518—532no—
1582C4×#41—532no—
1583C4×#41—531no—
1584C4×#41—532no—
1585C4×#41—531no—
1586C4×#41—532no—
1587C4×#41—532no—
1588C4×#41—532no—
1589C4×#41—532no—
1590C4×#41—531no—
1591C4×#41—532no—
1592C4×#41C2×D5311yescharacteristic, complemented
1593C22×C42—531no—
1594C53#6284111yescharacteristic, complemented, Sylow
1595C2×#41—532no—
1596C2×#41—532no—
1597C2×#41—531no—
1598C2×#41—532no—
1599C2×#41—531no—
1600C2×#41—532no—
1601C2×#41—532no—
1602C2×#41—532no—
1603C2×#41—531no—
1604C2×#41—532no—
1605C2×#41C22×D5311yescharacteristic
1606C22×Q8—534no—
1607C22×Q8—532no—
1608C22×Q8—532no—
1609C22×Q8—532no—
1610C22×Q8C22×D5312yes—
1611C22×D4—534no—
1612C22×D4—532no—
1613C22×D4—532no—
1614C22×D4—532no—
1615C22×D4—532no—
1616C23×C4—531no—
1617C23×C4—531no—
1618C23×C4—531no—
1619C4⋊Q8—531no—
1620C4⋊Q8—531no—
1621C4⋊Q8—534no—
1622C4⋊Q8—534no—
1623C4⋊Q8—534no—
1624C4⋊Q8—531no—
1625C4⋊Q8—531no—
1626C4⋊Q8—531no—
1627C4⋊Q8—531no—
1628C4⋊Q8—534no—
1629C4⋊Q8—532no—
1630C4⋊Q8—532no—
1631C4⋊Q8—532no—
1632C4⋊Q8—532no—
1633C4⋊Q8—534no—
1634C4⋊Q8—534no—
1635C4⋊Q8—531no—
1636C4⋊Q8—532no—
1637C4⋊Q8—534no—
1638C4⋊Q8C22×D5311yescharacteristic
1639C4⋊Q8C22×D5311yescharacteristic
1640C4⋊Q8C22×D5312yes—
1641C4⋊Q8C22×D5312yes—
1642C4⋊Q8C22×D5312yes—
1643C4⋊Q8C22×D5314yes—
1644#127—531no—
1645#127—531no—
1646#127—534no—
1647#127—531no—
1648#127—534no—
1649#126—534no—
1650#126—532no—
1651#126—532no—
1652#126—534no—
1653#126—532no—
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—534no—
1663#126—534no—
1664#126—534no—
1665#126—534no—
1666#126—532no—
1667#126—532no—
1668#126—532no—
1669#126—534no—
1670#126—534no—
1671#126—534no—
1672#126—534no—
1673#126—534no—
1674#126—534no—
1675#126—532no—
1676#126—534no—
1677#126—534no—
1678#126—534no—
1679#126—534no—
1680#126—534no—
1681#126—534no—
1682#126C22×D5312yes—
1683#126C22×D5314yes—
1684#126C22×D5314yes—
1685#126C22×D5314yes—
1686#126C22×D5314yes—
1687#125—532no—
1688#125—532no—
1689#125—532no—
1690#125—531no—
1691#125—531no—
1692#125—532no—
1693#125—532no—
1694#125—532no—
1695#125—531no—
1696#125C22×D5311yescharacteristic
1697#125C22×D5312yes—
1698#124—532no—
1699#124—531no—
1700#124—534no—
1701#124—534no—
1702#124—534no—
1703#124—532no—
1704#124—532no—
1705#124—532no—
1706#124—532no—
1707#124—534no—
1708#124—534no—
1709#124—534no—
1710#124—534no—
1711#124—534no—
1712#124—531no—
1713#124—534no—
1714#124—532no—
1715#124—532no—
1716#124—532no—
1717#124—534no—
1718#124—534no—
1719#124—534no—
1720#124—534no—
1721#124—534no—
1722#124—534no—
1723#124—532no—
1724#124—532no—
1725#124—534no—
1726#124—534no—
1727#124—534no—
1728#124—534no—
1729#124—534no—
1730#124—534no—
1731#124—534no—
1732#124—534no—
1733#124—534no—
1734#124—534no—
1735#124—532no—
1736#124—531no—
1737#124—534no—
1738#124—534no—
1739#124—534no—
1740#124—532no—
1741#124—532no—
1742#124—532no—
1743#124—534no—
1744#124—534no—
1745#124—534no—
1746#124—534no—
1747#124—534no—
1748#124—534no—
1749#124C22×D5311yescharacteristic
1750#124C22×D5314yes—
1751#124C22×D5312yes—
1752#124C22×D5314yes—
1753#124C22×D5314yes—
1754#124C22×D5314yes—
1755#123—532no—
1756#123—534no—
1757#123—532no—
1758#123—534no—
1759#123—534no—
1760#123—534no—
1761#123—532no—
1762#123—534no—
1763#123—532no—
1764#123—532no—
1765#123—534no—
1766#123—532no—
1767#123—534no—
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#123—534no—
1778#123—534no—
1779#123—532no—
1780#123—532no—
1781#123—534no—
1782#123—532no—
1783#123—532no—
1784#123—532no—
1785#123—534no—
1786#123—534no—
1787#123—534no—
1788#123—534no—
1789#123—534no—
1790#123—534no—
1791#123—534no—
1792#123C22×D5312yes—
1793#123C22×D5314yes—
1794C22⋊Q8—532no—
1795C22⋊Q8—531no—
1796C22⋊Q8—531no—
1797C22⋊Q8—532no—
1798C22⋊Q8—531no—
1799C22⋊Q8—532no—
1800C22⋊Q8—532no—
1801C22⋊Q8—534no—
1802C22⋊Q8—534no—
1803C22⋊Q8—534no—
1804C22⋊Q8—534no—
1805C22⋊Q8—534no—
1806C22⋊Q8—531no—
1807C22⋊Q8—532no—
1808C22⋊Q8—532no—
1809C22⋊Q8—534no—
1810C22⋊Q8—532no—
1811C22⋊Q8—532no—
1812C22⋊Q8—531no—
1813C22⋊Q8—531no—
1814C22⋊Q8—532no—
1815C22⋊Q8—532no—
1816C22⋊Q8—532no—
1817C22⋊Q8—532no—
1818C22⋊Q8—532no—
1819C22⋊Q8—531no—
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—532no—
1837C22⋊Q8—532no—
1838C22⋊Q8—534no—
1839C22⋊Q8—534no—
1840C22⋊Q8—534no—
1841C22⋊Q8—534no—
1842C22⋊Q8C22×D5312yes—
1843C22⋊Q8C22×D5312yes—
1844C22⋊Q8C22×D5311yescharacteristic
1845C22⋊Q8C22×D5312yes—
1846C22⋊Q8C22×D5312yes—
1847C22⋊Q8C22×D5314yes—
1848C22⋊Q8C22×D5314yes—
1849C22⋊Q8C22×D5314yes—
1850#121—531no—
1851#121—531no—
1852#121—532no—
1853#121—532no—
1854#121—531no—
1855#121—532no—
1856#121—534no—
1857#121—534no—
1858#121—534no—
1859#121—532no—
1860#121—532no—
1861#121—531no—
1862#121—532no—
1863#121—532no—
1864#121—534no—
1865#121—532no—
1866#121—532no—
1867#121—531no—
1868#121—531no—
1869#121—532no—
1870#121—531no—
1871#121—532no—
1872#121—532no—
1873#121—532no—
1874#121—532no—
1875#121—532no—
1876#121—534no—
1877#121—534no—
1878#121—534no—
1879#121—532no—
1880#121—532no—
1881#121—532no—
1882#121—532no—
1883#121—532no—
1884#121—534no—
1885#121—534no—
1886#121—534no—
1887#121—534no—
1888#121—534no—
1889#121—534no—
1890#121C22×D5311yescharacteristic
1891#121C22×D5312yes—
1892#121C22×D5312yes—
1893#121C22×D5314yes—
1894#120—532no—
1895#120—532no—
1896#120—534no—
1897#120—534no—
1898#120—534no—
1899#120—534no—
1900#120—532no—
1901#120—534no—
1902#120—532no—
1903#120—534no—
1904#120—534no—
1905#120—534no—
1906#120—534no—
1907#120—534no—
1908#120—534no—
1909#120—534no—
1910#120—534no—
1911C4×Q8—531no—
1912C4×Q8—532no—
1913C4×Q8—532no—
1914C4×Q8—532no—
1915C4×Q8—534no—
1916C4×Q8—532no—
1917C4×Q8—532no—
1918C4×Q8—531no—
1919C4×Q8—532no—
1920C4×Q8—532no—
1921C4×Q8—532no—
1922C4×Q8—534no—
1923C4×Q8—532no—
1924C4×Q8—532no—
1925C4×Q8—532no—
1926C4×Q8—534no—
1927C4×Q8—534no—
1928C4×Q8—534no—
1929C4×Q8—532no—
1930C4×Q8—531no—
1931C4×Q8—532no—
1932C4×Q8—532no—
1933C4×Q8—531no—
1934C4×Q8—531no—
1935C4×Q8—532no—
1936C4×Q8—532no—
1937C4×Q8—534no—
1938C4×Q8—532no—
1939C4×Q8—534no—
1940C4×Q8—534no—
1941C4×Q8—534no—
1942C4×Q8—534no—
1943C4×Q8—534no—
1944C4×Q8C22×D5312yes—
1945C4×Q8C22×D5312yes—
1946C4×Q8C22×D5311yescharacteristic
1947C4×Q8C22×D5311yescharacteristic
1948C4×Q8C22×D5311yescharacteristic
1949C4×Q8C22×D5312yes—
1950C4×Q8C22×D5314yes—
1951C4×Q8C22×D5312yes—
1952C4×Q8C22×D5312yes—
1953C4×Q8C22×D5314yes—
1954C4×Q8C22×D5314yes—
1955C4×D4—531no—
1956C4×D4—532no—
1957C4×D4—534no—
1958C4×D4—532no—
1959C4×D4—532no—
1960C4×D4—532no—
1961C4×D4—532no—
1962C4×D4—532no—
1963C4×D4—532no—
1964C4×D4—532no—
1965C4×D4—532no—
1966C4×D4—532no—
1967C4×D4—532no—
1968C4×D4—532no—
1969C4×D4—532no—
1970C4×D4—532no—
1971C4×D4—532no—
1972C4×D4—534no—
1973C4×D4—534no—
1974C4×D4—534no—
1975C4×D4—531no—
1976C4×D4—532no—
1977C4×D4—532no—
1978C4×D4—534no—
1979C4×D4—534no—
1980C4×D4—532no—
1981C4×D4—532no—
1982C4×D4—532no—
1983C4×D4—532no—
1984C4×D4—532no—
1985C4×D4—534no—
1986C4×D4—534no—
1987C4×D4—534no—
1988C4×D4—532no—
1989C4×D4—532no—
1990C4×D4—532no—
1991C4×D4—532no—
1992C4×D4—532no—
1993C4×D4—534no—
1994C4×D4—532no—
1995C4×D4—534no—
1996C4×D4—532no—
1997C4×D4—532no—
1998C4×D4—532no—
1999C4×D4—532no—
2000C4×D4—534no—
2001C4×D4—534no—
2002C4×D4—534no—
2003C4×D4—532no—
2004C4×D4—531no—
2005C4×D4—534no—
2006C4×D4—532no—
2007C4×D4—532no—
2008C4×D4—532no—
2009C4×D4—534no—
2010C4×D4—532no—
2011C4×D4—532no—
2012C4×D4—531no—
2013C4×D4—531no—
2014C4×D4—532no—
2015C4×D4—534no—
2016C4×D4—534no—
2017C4×D4—534no—
2018C4×D4—532no—
2019C4×D4—532no—
2020C4×D4—532no—
2021C4×D4C22×D5312yes—
2022C4×D4C22×D5311yescharacteristic
2023C4×D4C22×D5311yescharacteristic
2024C4×D4C22×D5312yes—
2025C4×D4C22×D5312yes—
2026C4×D4C22×D5311yescharacteristic
2027C4×D4C22×D5314yes—
2028C4×D4C22×D5312yes—
2029#117—532no—
2030#117—531no—
2031#117—532no—
2032#117—532no—
2033#117—534no—
2034#117—532no—
2035#117—532no—
2036#117—531no—
2037#117—531no—
2038#117—532no—
2039#117—532no—
2040#117—534no—
2041#117—532no—
2042#117—532no—
2043#117—534no—
2044#117—534no—
2045#117—534no—
2046#117—534no—
2047#117—532no—
2048#117—532no—
2049#117—532no—
2050#117—532no—
2051#117—532no—
2052#117—534no—
2053#117—534no—
2054#117—532no—
2055#117—532no—
2056#117—532no—
2057#117—532no—
2058#117—532no—
2059#117—534no—
2060#117—532no—
2061#117—532no—
2062#117—534no—
2063#117—534no—
2064#117—534no—
2065#117—534no—
2066#117—534no—
2067#117—534no—
2068#117C22×D5312yes—
2069#117C22×D5312yes—
2070#117C22×D5311yescharacteristic
2071#117C22×D5312yes—
2072#117C22×D5312yes—
2073#117C22×D5312yes—
2074#117C22×D5314yes—
2075#117C22×D5314yes—
2076#117C22×D5312yes—
2077C2×C22⋊C4—534no—
2078C2×C22⋊C4—534no—
2079C2×C22⋊C4—534no—
2080C2×C22⋊C4—534no—
2081C2×C22⋊C4—534no—
2082C2×C22⋊C4—534no—
2083C2×C22⋊C4—534no—
2084C2×C22⋊C4—534no—
2085C2×C22⋊C4—534no—
2086C2×C22⋊C4—534no—
2087C2×C22⋊C4—534no—
2088C2×C22⋊C4—534no—
2089C2×C42—532no—
2090C2×C42—531no—
2091C2×C42—531no—
2092C2×C42—531no—
2093C2×C42—532no—
2094C2×C42—534no—
2095C2×C42—532no—
2096C2×C42—531no—
2097C2×C42—531no—
2098C2×C42—531no—
2099C2×C42—531no—
2100C2×C42—531no—
2101C2×C42—531no—
2102C2×C42—531no—
2103C2×C42—531no—
2104C2×C42C22×D5312yes—
2105C2×C42C22×D5311yescharacteristic
2106C24—534no—
2107C24—534no—
2108C24—531no—
2109#41—42no—
2110#41—2124no—
2111#41—2124no—
2112#41—2122no—
2113#41—2124no—
2114#41—2124no—
2115#41—2124no—
2116#41—2122no—
2117#41—2124no—
2118#41—2124no—
2119#41—2122no—
2120C2×Q8—44no—
2121C2×Q8—532no—
2122C2×Q8—532no—
2123C2×Q8—531no—
2124C2×Q8—532no—
2125C2×Q8—531no—
2126C2×Q8—534no—
2127C2×Q8—534no—
2128C2×Q8—534no—
2129C2×Q8—534no—
2130C2×Q8—532no—
2131C2×Q8—532no—
2132C2×Q8—2124no—
2133C2×Q8—2124no—
2134C2×Q8—2124no—
2135C2×Q8—2128no—
2136C2×Q8C23×D5312yes—
2137C2×Q8C23×D5311yescharacteristic
2138C2×Q8C23×D5311yescharacteristic
2139C2×Q8C23×D5314yes—
2140C2×Q8C23×D5312yes—
2141C2×Q8C23×D5314yes—
2142C2×D4—532no—
2143C2×D4—532no—
2144C2×D4—532no—
2145C2×D4—532no—
2146C2×D4—534no—
2147C2×D4—532no—
2148C2×D4—532no—
2149C2×D4—532no—
2150C2×D4—532no—
2151C2×D4—532no—
2152C2×D4—532no—
2153C2×D4—534no—
2154C2×D4—534no—
2155C2×D4—532no—
2156C2×D4—531no—
2157C2×D4—531no—
2158C2×D4—532no—
2159C2×D4—532no—
2160C2×D4—534no—
2161C2×D4—532no—
2162C2×D4—532no—
2163C2×D4—532no—
2164C2×D4—534no—
2165C2×D4—532no—
2166C2×D4—534no—
2167C2×D4—534no—
2168C2×D4—534no—
2169C2×D4—2124no—
2170C2×D4—2124no—
2171C2×D4—2124no—
2172C2×D4—2124no—
2173C2×D4—2128no—
2174C2×D4C23×D5311yescharacteristic
2175C2×D4C23×D5311yescharacteristic
2176C2×D4C23×D5312yes—
2177C2×D4C23×D5314yes—
2178C2×D4C23×D5312yes—
2179C22×C4—531no—
2180C22×C4—531no—
2181C22×C4—531no—
2182C22×C4—532no—
2183C22×C4—532no—
2184C22×C4—534no—
2185C22×C4—531no—
2186C22×C4—531no—
2187C22×C4—531no—
2188C22×C4—531no—
2189C22×C4—531no—
2190C22×C4—531no—
2191C22×C4—534no—
2192C22×C4—532no—
2193C22×C4—532no—
2194C22×C4—531no—
2195C22×C4—531no—
2196C22×C4—531no—
2197C22×C4—531no—
2198C22×C4—531no—
2199C22×C4—531no—
2200C22×C4—534no—
2201C22×C4—532no—
2202C22×C4—532no—
2203C22×C4—532no—
2204C22×C4—532no—
2205C22×C4—534no—
2206C22×C4—534no—
2207C22×C4—534no—
2208C22×C4—534no—
2209C22×C4—534no—
2210C22×C4—2122no—
2211C22×C4—2122no—
2212C22×C4—2122no—
2213C22×C4C23×D5311yescharacteristic
2214C22×C4C23×D5311yescharacteristic
2215C22×C4C23×D5312yes—
2216C22×C4C23×D5312yes—
2217C22×C4C23×D5311yescharacteristic
2218C22×C4C23×D5312yes—
2219C22×C4C23×D5312yes—
2220C22×C4C23×D5314yes—
2221C4⋊C4—532no—
2222C4⋊C4—532no—
2223C4⋊C4—531no—
2224C4⋊C4—532no—
2225C4⋊C4—531no—
2226C4⋊C4—532no—
2227C4⋊C4—532no—
2228C4⋊C4—531no—
2229C4⋊C4—531no—
2230C4⋊C4—532no—
2231C4⋊C4—534no—
2232C4⋊C4—532no—
2233C4⋊C4—532no—
2234C4⋊C4—532no—
2235C4⋊C4—532no—
2236C4⋊C4—532no—
2237C4⋊C4—532no—
2238C4⋊C4—532no—
2239C4⋊C4—532no—
2240C4⋊C4—532no—
2241C4⋊C4—534no—
2242C4⋊C4—532no—
2243C4⋊C4—532no—
2244C4⋊C4—532no—
2245C4⋊C4—532no—
2246C4⋊C4—532no—
2247C4⋊C4—532no—
2248C4⋊C4—532no—
2249C4⋊C4—532no—
2250C4⋊C4—532no—
2251C4⋊C4—534no—
2252C4⋊C4—532no—
2253C4⋊C4—532no—
2254C4⋊C4—532no—
2255C4⋊C4—534no—
2256C4⋊C4—532no—
2257C4⋊C4—534no—
2258C4⋊C4—534no—
2259C4⋊C4—534no—
2260C4⋊C4—534no—
2261C4⋊C4—534no—
2262C4⋊C4—534no—
2263C4⋊C4—534no—
2264C4⋊C4—534no—
2265C4⋊C4C23×D5312yes—
2266C4⋊C4C23×D5311yescharacteristic
2267C4⋊C4C23×D5312yes—
2268C4⋊C4C23×D5314yes—
2269C4⋊C4C23×D5311yescharacteristic
2270C4⋊C4C23×D5312yes—
2271C4⋊C4C23×D5312yes—
2272C4⋊C4C23×D5311yescharacteristic
2273C4⋊C4C23×D5314yes—
2274C4⋊C4C23×D5312yes—
2275C4⋊C4C23×D5312yes—
2276C4⋊C4C23×D5314yes—
2277C4⋊C4C23×D5314yes—
2278C4⋊C4C23×D5311yescharacteristic
2279C4⋊C4C23×D5312yes—
2280C4⋊C4C23×D5312yes—
2281C4⋊C4C23×D5312yes—
2282C4⋊C4C23×D5312yes—
2283C4⋊C4C23×D5314yes—
2284C4⋊C4C23×D5314yes—
2285C22⋊C4—532no—
2286C22⋊C4—532no—
2287C22⋊C4—532no—
2288C22⋊C4—532no—
2289C22⋊C4—534no—
2290C22⋊C4—534no—
2291C22⋊C4—534no—
2292C22⋊C4—532no—
2293C22⋊C4—532no—
2294C22⋊C4—532no—
2295C22⋊C4—532no—
2296C22⋊C4—534no—
2297C22⋊C4—532no—
2298C22⋊C4—532no—
2299C22⋊C4—532no—
2300C22⋊C4—534no—
2301C22⋊C4—532no—
2302C22⋊C4—534no—
2303C22⋊C4—532no—
2304C22⋊C4—532no—
2305C22⋊C4—532no—
2306C22⋊C4—534no—
2307C22⋊C4—532no—
2308C22⋊C4—534no—
2309C22⋊C4—534no—
2310C22⋊C4—534no—
2311C22⋊C4—534no—
2312C22⋊C4—534no—
2313C22⋊C4—534no—
2314C22⋊C4—534no—
2315C22⋊C4—534no—
2316C22⋊C4—534no—
2317C22⋊C4—534no—
2318C22⋊C4—534no—
2319C22⋊C4—534no—
2320C22⋊C4—534no—
2321C22⋊C4—534no—
2322C22⋊C4—534no—
2323C22⋊C4—534no—
2324C22⋊C4—532no—
2325C22⋊C4—532no—
2326C22⋊C4—532no—
2327C22⋊C4—534no—
2328C22⋊C4—534no—
2329C22⋊C4—532no—
2330C22⋊C4—532no—
2331C22⋊C4—532no—
2332C22⋊C4—532no—
2333C22⋊C4—534no—
2334C22⋊C4—532no—
2335C22⋊C4—534no—
2336C22⋊C4—532no—
2337C22⋊C4—532no—
2338C22⋊C4—532no—
2339C22⋊C4—532no—
2340C22⋊C4C23×D5312yes—
2341C22⋊C4C23×D5312yes—
2342C22⋊C4C23×D5312yes—
2343C22⋊C4C23×D5312yes—
2344C22⋊C4C23×D5314yes—
2345C22⋊C4C23×D5314yes—
2346C22⋊C4C23×D5314yes—
2347C22⋊C4C23×D5314yes—
2348C22⋊C4C23×D5312yes—
2349C22⋊C4C23×D5312yes—
2350C22⋊C4C23×D5314yes—
2351C22⋊C4C23×D5314yes—
2352C22⋊C4C23×D5312yes—
2353C22⋊C4C23×D5312yes—
2354C42—531no—
2355C42—531no—
2356C42—531no—
2357C42—531no—
2358C42—531no—
2359C42—531no—
2360C42—531no—
2361C42—531no—
2362C42—531no—
2363C42—531no—
2364C42—531no—
2365C42—531no—
2366C42—532no—
2367C42—532no—
2368C42—532no—
2369C42—532no—
2370C42—534no—
2371C42—532no—
2372C42—532no—
2373C42—534no—
2374C42—532no—
2375C42—532no—
2376C42—534no—
2377C42—534no—
2378C42—534no—
2379C42—534no—
2380C42—534no—
2381C42C23×D5311yescharacteristic
2382C42C23×D5311yescharacteristic
2383C42C23×D5311yescharacteristic
2384C42C23×D5311yescharacteristic
2385C42C23×D5314yes—
2386C42C23×D5312yes—
2387C42C23×D5312yes—
2388C42C23×D5312yes—
2389C42C23×D5312yes—
2390C42C23×D5314yes—
2391C42C23×D5314yes—
2392C42C23×D5314yes—
2393C23—534no—
2394C23—532no—
2395C23—532no—
2396C23—531no—
2397C23—531no—
2398C23—2124no—
2399C23—2124no—
2400C23—2124no—
2401C23—2124no—
2402C23—2124no—
2403C23—2124no—
2404C23—2121no—
2405C23—2121no—
2406C23—2121no—
2407C23C24×D5312yes—
2408C23C24×D5312yes—
2409C23C24×D5311yescharacteristic
2410Q8—22no—
2411Q8—24no—
2412Q8—22no—
2413Q8—44no—
2414Q8—44no—
2415Q8—42no—
2416Q8—1064no—
2417Q8—1064no—
2418Q8—1062no—
2419Q8—1062no—
2420Q8—1064no—
2421Q8—2124no—
2422Q8—2124no—
2423Q8—2124no—
2424Q8—2124no—
2425Q8—2122no—
2426Q8—2122no—
2427D4—22no—
2428D4—22no—
2429D4—44no—
2430D4—42no—
2431D4—42no—
2432D4—1064no—
2433D4—1064no—
2434D4—1062no—
2435D4—1064no—
2436D4—1062no—
2437D4—1064no—
2438D4—2124no—
2439D4—2124no—
2440D4—2124no—
2441D4—2122no—
2442D4—2122no—
2443D4—2124no—
2444D4—2122no—
2445D4—2124no—
2446D4—2122no—
2447D4—2122no—
2448D4—2124no—
2449D4—2124no—
2450D4—2122no—
2451D4—2122no—
2452D4—2122no—
2453D4—2122no—
2454D4—2122no—
2455D4—2122no—
2456D4—2122no—
2457D4—2124no—
2458D4—2122no—
2459C2×C4—22no—
2460C2×C4—24no—
2461C2×C4—22no—
2462C2×C4—24no—
2463C2×C4—41no—
2464C2×C4—44no—
2465C2×C4—42no—
2466C2×C4—42no—
2467C2×C4—531no—
2468C2×C4—531no—
2469C2×C4—531no—
2470C2×C4—531no—
2471C2×C4—532no—
2472C2×C4—532no—
2473C2×C4—532no—
2474C2×C4—532no—
2475C2×C4—532no—
2476C2×C4—534no—
2477C2×C4—532no—
2478C2×C4—531no—
2479C2×C4—531no—
2480C2×C4—1062no—
2481C2×C4—1062no—
2482C2×C4—1068no—
2483C2×C4—1062no—
2484C2×C4—1062no—
2485C2×C4—1062no—
2486C2×C4—1064no—
2487C2×C4—1062no—
2488C2×C4—1062no—
2489C2×C4—1064no—
2490C2×C4—2121no—
2491C2×C4—2121no—
2492C2×C4—2121no—
2493C2×C4—2121no—
2494C2×C4—2121no—
2495C2×C4—2121no—
2496C2×C4—2124no—
2497C2×C4—2124no—
2498C2×C4—2124no—
2499C2×C4—2124no—
2500C2×C4—2122no—
2501C2×C4—2122no—
2502C2×C4—2122no—
2503C2×C4—2124no—
2504C2×C4—2124no—
2505C2×C4—2122no—
2506C2×C4—2121no—
2507C2×C4—2121no—
2508C2×C4—2124no—
2509C2×C4—2122no—
2510C2×C4—2122no—
2511C2×C4C24×D5311yescharacteristic
2512C2×C4C24×D5311yescharacteristic
2513C2×C4C24×D5312yes—
2514C2×C4C24×D5314yes—
2515C2×C4C24×D5311yescharacteristic
2516C2×C4C24×D5312yes—
2517C2×C4C24×D5314yes—
2518C2×C4C24×D5311yescharacteristic
2519C2×C4C24×D5312yes—
2520C2×C4C24×D5312yes—
2521C2×C4C24×D5312yes—
2522C2×C4C24×D5312yes—
2523C2×C4C24×D5311yescharacteristic
2524C2×C4C24×D5311yescharacteristic
2525C22—21no—
2526C22—22no—
2527C22—22no—
2528C22—22no—
2529C22—21no—
2530C22—22no—
2531C22—22no—
2532C22—21no—
2533C22—22no—
2534C22—8484no—
2535C22—8484no—
2536C22—1064no—
2537C22—1061no—
2538C22—1061no—
2539C22—1062no—
2540C22—1062no—
2541C22—1062no—
2542C22—1061no—
2543C22—1061no—
2544C22—1062no—
2545C22—1064no—
2546C22—1062no—
2547C22—1061no—
2548C22—1061no—
2549C22—1062no—
2550C22—1064no—
2551C22—2124no—
2552C22C25×D5311yescharacteristic
2553C4—21no—
2554C4—21no—
2555C4—22no—
2556C4—24no—
2557C4—22no—
2558C4—21no—
2559C4—22no—
2560C4—22no—
2561C4—24no—
2562C4—21no—
2563C4—22no—
2564C4—22no—
2565C4—532no—
2566C4—1061no—
2567C4—1062no—
2568C4—1062no—
2569C4—1061no—
2570C4—1061no—
2571C4—1062no—
2572C4—1062no—
2573C4—1061no—
2574C4—1061no—
2575C4—1062no—
2576C4—1064no—
2577C4—1062no—
2578C4#1681145912yes—
2579C4#1681146012yes—
2580C2—42no—
2581C2—42no—
2582C2—41no—
2583C2—2124no—
2584C2—2122no—
2585C2—2122no—
2586C2—2121no—
2587C2—2121no—
2588C2#585×D5311yescharacteristic
2589C2C2×#1681145911yescharacteristic
2590C2C2×#1681146011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3518C2
hypercenter#3518D53
hypocenterC53#62841
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3518

Complements

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

NH ≅ G/Ntype
1. #20289410C2semidirect
2. #20289407C2semidirect
3. #20289128C2semidirect
4. #20289122C2semidirect
5. #20289121C2semidirect
6. #20289116C2semidirect
7. #20288991C2semidirect
8. #20288991C2semidirect
9. #20288989C2semidirect
10. #20288985C2semidirect
11. #20288980C2semidirect
12. #20288733C2semidirect
13. #20288731C2semidirect
14. #20288729C2semidirect
15. #20288726C2semidirect
16. #20288725C2semidirect
17. #20288724C2semidirect
18. #20288724C2semidirect
19. #20288679C2semidirect
20. #20288678C2semidirect
21. #20288677C2semidirect
22. #20288676C2semidirect
23. #20288674C2semidirect
24. #20288672C2semidirect
25. #20288669C2semidirect
26. #20288664C2semidirect
27. #20288613C2semidirect
28. #20288612C2semidirect
29. #20288607C2semidirect
30. #20288605C2semidirect
31. #20288604C2semidirect
32. #20288012C2semidirect
33. #20288009C2semidirect
34. #20288008C2semidirect
35. C53×#3518C2semidirect
36. #16811375C22semidirect
37. #16811374C22semidirect
38. #16811372C22semidirect
39. #16811365C22semidirect
40. #16811365C22semidirect
41. #16811365C22semidirect
42. #16811364C22semidirect
43. #16811361C22semidirect
44. #16811358C22semidirect
45. #16811358C22semidirect
46. #16811358C22semidirect
47. #16811358C22semidirect
48. #16811358C22semidirect
49. #16811357C22semidirect
50. #16811356C22semidirect
51. #16811356C22semidirect
52. #16811355C22semidirect
53. #16811355C22semidirect
54. Q8×Dic106C22semidirect
55. #16811353C22semidirect
56. #16811353C22semidirect
57. #16811347C22semidirect
58. #16811347C22semidirect
59. #16811347C22semidirect
60. #16811346C22semidirect
61. #16811346C22semidirect
62. #16811346C22semidirect
63. #16811346C22semidirect
64. #16811345C22semidirect
65. #16811345C22semidirect
66. #16811345C22semidirect
67. #16811345C22semidirect
68. #16811345C22semidirect
69. #16811345C22semidirect
70. #16811344C22semidirect
71. #16811344C22semidirect
72. #16811344C22semidirect
73. #16811343C22semidirect
74. #16811342C22semidirect
75. #16811341C22semidirect
76. #16811341C22semidirect
77. #16811341C22semidirect
78. #16811341C22semidirect
79. #16811341C22semidirect
80. #16811340C22semidirect
81. #16811340C22semidirect
82. #16811340C22semidirect
83. #16811339C22semidirect
84. #16811339C22semidirect
85. #16811339C22semidirect
86. #16811338C22semidirect
87. #16811337C22semidirect
88. #16811336C22semidirect
89. #16811336C22semidirect
90. #16811336C22semidirect
91. #16811336C22semidirect
92. #16811336C22semidirect
93. #16811336C22semidirect
94. #16811335C22semidirect
95. #16811303C22semidirect
96. #16811302C22semidirect
97. #16811301C22semidirect
98. #16811300C22semidirect
99. #16811300C22semidirect
100. #16811300C22semidirect
101. #16811300C22semidirect
102. #16811300C22semidirect
103. #16811298C22semidirect
104. #16811298C22semidirect
105. #16811298C22semidirect
106. #16811298C22semidirect
107. #16811297C22semidirect
108. #16811297C22semidirect
109. #16811297C22semidirect
110. #16811297C22semidirect
111. #16811297C22semidirect
112. #16811296C22semidirect
113. Q8×D212C22semidirect
114. D4×Dic106C22semidirect
115. #16811288C22semidirect
116. #16811288C22semidirect
117. #16811288C22semidirect
118. Q8×C22⋊D53C22semidirect
119. #16811286C22semidirect
120. #16811285C22semidirect
121. #16811285C22semidirect
122. #16811284C22semidirect
123. #16811283C22semidirect
124. #16811283C22semidirect
125. #16811283C22semidirect
126. #16811282C22semidirect
127. #16811281C22semidirect
128. #16811279C22semidirect
129. #16811270C22semidirect
130. #16811269C22semidirect
131. #16811269C22semidirect
132. #16811268C22semidirect
133. #16811266C22semidirect
134. #16811265C22semidirect
135. #16811264C22semidirect
136. #16811264C22semidirect
137. #16811262C22semidirect
138. #16811261C22semidirect
139. D4×D212C22semidirect
140. D4×D212C22semidirect
141. #16811257C22semidirect
142. #16811257C22semidirect
143. #16811247C22semidirect
144. #16811247C22semidirect
145. #16811247C22semidirect
146. #16811247C22semidirect
147. #16811247C22semidirect
148. #16811247C22semidirect
149. #16811246C22semidirect
150. #16811245C22semidirect
151. #16811245C22semidirect
152. #16811245C22semidirect
153. #16811245C22semidirect
154. #16811245C22semidirect
155. #16811245C22semidirect
156. #16811245C22semidirect
157. #16811244C22semidirect
158. #16811244C22semidirect
159. #16811243C22semidirect
160. #16811243C22semidirect
161. #16811243C22semidirect
162. #16811243C22semidirect
163. #16811242C22semidirect
164. #16811242C22semidirect
165. #16811240C22semidirect
166. #16811239C22semidirect
167. #16811239C22semidirect
168. #16811239C22semidirect
169. #16811239C22semidirect
170. #16811238C22semidirect
171. #16811237C22semidirect
172. #16811237C22semidirect
173. #16811213C22semidirect
174. #16811212C22semidirect
175. #16811212C22semidirect
176. #16811212C22semidirect
177. #16811210C22semidirect
178. #16811209C22semidirect
179. #16811207C22semidirect
180. #16811207C22semidirect
181. #16811207C22semidirect
182. #16811206C22semidirect
183. #16811206C22semidirect
184. #16811205C22semidirect
185. #16811199C22semidirect
186. #16811198C22semidirect
187. #16811197C22semidirect
188. #16811196C22semidirect
189. #16811196C22semidirect
195. #16811179C22semidirect
196. #16811179C22semidirect
197. #16811178C22semidirect
198. #16811178C22semidirect
199. #16811178C22semidirect
200. #16811177C22semidirect
201. #16811177C22semidirect
202. #16811177C22semidirect
203. #16811177C22semidirect
204. #16811176C22semidirect
205. #16811176C22semidirect
206. #16811175C22semidirect
216. #16811160C22semidirect
217. #16811160C22semidirect
218. #16811160C22semidirect
219. #16811160C22semidirect
220. #16811160C22semidirect
221. #16811160C22semidirect
222. #16811159C22semidirect
223. #16811159C22semidirect
224. #16811159C22semidirect
225. #16811158C22semidirect
226. #16811158C22semidirect
227. #16811158C22semidirect
228. #16811158C22semidirect
229. #16811158C22semidirect
230. #16811157C22semidirect
231. #16811157C22semidirect
232. #16811156C22semidirect
233. #16811156C22semidirect
234. #16811156C22semidirect
235. #16811155C22semidirect
236. #16811155C22semidirect
237. #16811154C22semidirect
238. #16811153C22semidirect
239. #16811153C22semidirect
240. #16811152C22semidirect
241. #16811151C22semidirect
242. #16811151C22semidirect
243. #16811151C22semidirect
244. #16811151C22semidirect
245. #16811150C22semidirect
246. C2×#13133206C22semidirect
247. C2×#13133205C22semidirect
248. #124×D53C22semidirect
249. #124×D53C22semidirect
250. #124×D53C22semidirect
251. #16811136C22semidirect
252. #16811136C22semidirect
253. #16811136C22semidirect
254. #16811135C22semidirect
255. #16811135C22semidirect
256. #16811133C22semidirect
257. #16811132C22semidirect
258. #16811132C22semidirect
259. #16811132C22semidirect
260. #16811131C22semidirect
261. #16811130C22semidirect
262. #16811100C22semidirect
263. #16811099C22semidirect
264. #16811099C22semidirect
265. #16811099C22semidirect
266. #16811097C22semidirect
267. #16811097C22semidirect
268. #16811095C22semidirect
269. #16811095C22semidirect
270. #16811095C22semidirect
271. C4×#11719949C22semidirect
272. C4×#11719949C22semidirect
273. C4×#11719949C22semidirect
274. C4×#11719945C22semidirect
275. C4×#11719945C22semidirect
276. C4×#11719945C22semidirect
277. #16811091C22semidirect
278. #16811091C22semidirect
279. C4×#11719947C22semidirect
280. C4×#11719947C22semidirect
281. C2×C42×D53C22semidirect
282. Q82×C53C22semidirect
283. C53×#556C22semidirect
284. C53×#556C22semidirect
285. C53×#556C22semidirect
286. C53×#556C22semidirect
287. C53×#555C22semidirect
288. C53×#555C22semidirect
289. D4×Q8×C53C22semidirect
290. C53×#548C22semidirect
291. C53×#542C22semidirect
292. C53×#542C22semidirect
293. C53×#533C22semidirect
294. C53×#533C22semidirect
295. C53×#529C22semidirect
296. C53×#529C22semidirect
297. C53×#519C22semidirect
298. C4×#41×C53C22semidirect
1303. #3518D53semidirect
1352. Q82C2×D53semidirect
1379. #556C2×D53semidirect
1380. #556C2×D53semidirect
1381. #556C2×D53semidirect
1382. #556C2×D53semidirect
1395. #555C2×D53semidirect
1396. #555C2×D53semidirect
1422. D4×Q8C2×D53semidirect
1432. #548C2×D53semidirect
1477. #542C2×D53semidirect
1478. #542C2×D53semidirect
1513. #533C2×D53semidirect
1514. #533C2×D53semidirect
1554. #529C2×D53semidirect
1555. #529C2×D53semidirect
1576. #519C2×D53semidirect
1592. C4×#41C2×D53semidirect
1594. C53#62841semidirect

Maximal subgroups

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

subgroupindex
#202894102
#202894072
#202891282
#202891222
#202891212
#202891162
#202889912
#202889892
#202889852
#202889802
#202887332
#202887312
#202887292
#202887262
#202887252
#202887242
#202886792
#202886782
#202886772
#202886762
#202886742
#202886722
#202886692
#202886642
#202886132
#202886122
#202886072
#202886052
#202886042
#202880122
#202880092
#202880082
C53×#35182
#6284153