Finite Group Databasebeta

← #28293011

Subgroups — #28293011

Order 13568.

7148 conjugacy classes of subgroups.

The subgroup lattice has 2628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289279C214yesmaximal, complemented
2#20289240C214yesmaximal, complemented
3#20289185C212yesmaximal, complemented
4#20289178C212yesmaximal, complemented
5#20289127C211yesmaximal, characteristic, complemented
6#20289121C211yesmaximal, characteristic, complemented
7#20289114C211yesmaximal, characteristic, complemented
8#20289108C211yesmaximal, characteristic, complemented
9#20289097C214yesmaximal, complemented
10#20288938C212yesmaximal, complemented
11#20288931C212yesmaximal, complemented
12#20288800C211yesmaximal, characteristic, complemented
13#20288798C211yesmaximal, characteristic, complemented
14#20288792C211yesmaximal, characteristic, complemented
15#20288762C212yesmaximal, complemented
16#20288754C212yesmaximal, complemented
17#20288621C212yesmaximal, complemented
18#20288620C212yesmaximal, complemented
19#20288618C212yesmaximal, complemented
20#20288588C211yesmaximal, characteristic, complemented
21#20288585C211yesmaximal, characteristic, complemented
22#20288571C212yesmaximal, complemented
23#20288563C212yesmaximal, complemented
24#20288533C211yesmaximal, characteristic, complemented
25#20288529C211yesmaximal, characteristic, complemented
26#20288514C212yesmaximal, complemented
27#20288494C212yesmaximal, complemented
28#20288481C212yesmaximal, complemented
29#20288445C212yesmaximal, complemented
30#20288438C212yesmaximal, complemented
31#20288389C214yesmaximal, complemented
32#20288009C211yesmaximal, characteristic, complemented
33C2×#16811177C211yesmaximal, characteristic, complemented
34#532×D53C211yesmaximal, characteristic, complemented
35C53×#3522C211yesmaximal, characteristic, complemented
36C2×#13133264C2214yescomplemented
37C2×#41×D53C2212yes—
38#16811376C2214yescomplemented
39#16811372C2214yescomplemented
40#16811370C2214yescomplemented
41#16811369C2214yescomplemented
42#16811369C2214yescomplemented
43#16811369C2214yescomplemented
44#16811368C2214yescomplemented
45#16811367C2214yescomplemented
46#16811359C2211yescharacteristic, complemented
47#16811358C2211yescharacteristic, complemented
48#16811358C2212yescomplemented
49#16811358C2211yescharacteristic, complemented
50#16811356C2212yescomplemented
51#16811356C2212yescomplemented
52#16811355C2212yescomplemented
53#16811355C2212yescomplemented
54Q8×Dic106C2211yescharacteristic, complemented
55Q8×Dic106C2211yescharacteristic, complemented
56#16811353C2211yescharacteristic, complemented
57#16811350C2212yescomplemented
58#16811349C2212yescomplemented
59#16811345C2212yescomplemented
60#16811345C2212yescomplemented
61#16811342C2212yescomplemented
62#16811342C2212yescomplemented
63#16811341C2214yescomplemented
64#16811340C2214yescomplemented
65#16811336C2214yescomplemented
66#16811335C2214yescomplemented
67#16811335C2214yescomplemented
68#16811334C2212yes—
69#16811334C2211yescharacteristic, complemented
70#16811333C2212yes—
71#16811333C2212yescomplemented
72#16811333C2211yescharacteristic, complemented
73#16811332C2212yescomplemented
74#16811332C2212yescomplemented
75#16811331C2212yes—
76#16811330C2211yescharacteristic, complemented
77#16811329C2212yescomplemented
78#16811329C2212yescomplemented
79#16811328C2212yes—
80#16811328C2214yescomplemented
81#16811327C2214yescomplemented
82#16811327C2214yescomplemented
83#16811324C2214yescomplemented
84#16811322C2214yescomplemented
85#16811322C2214yescomplemented
86#16811322C2214yescomplemented
87#16811318C2214yescomplemented
88#16811316C2214yescomplemented
89#16811309C2214yescomplemented
90#16811306C2214yescomplemented
91#16811303C2214yes—
92#16811302C2214yes—
93#16811298C2214yes—
94#16811297C2214yes—
95#16811295C2211yescharacteristic, complemented
96#16811294C2211yescharacteristic, complemented
97#16811294C2212yescomplemented
98#16811294C2212yescomplemented
99#16811293C2211yescharacteristic, complemented
100#16811293C2212yescomplemented
101#16811293C2212yescomplemented
102D4×Dic106C2212yescomplemented
103D4×Dic106C2212yescomplemented
104D4×Dic106C2212yescomplemented
105#16811288C2214yes—
106#16811288C2212yescomplemented
107#16811288C2212yescomplemented
108#16811288C2212yescomplemented
109#16811286C2214yes—
110#16811286C2214yescomplemented
111#16811284C2212yescomplemented
112#16811283C2214yescomplemented
113#16811282C2212yescomplemented
114#16811282C2214yescomplemented
115#16811282C2214yescomplemented
116#16811282C2214yescomplemented
117#16811281C2214yescomplemented
118#16811281C2214yescomplemented
119#16811279C2212yescomplemented
120#16811277C2212yescomplemented
121#16811275C2212yescomplemented
122#16811274C2214yescomplemented
123#16811274C2212yescomplemented
124#16811274C2212yescomplemented
125#16811274C2214yescomplemented
126#16811273C2212yescomplemented
127#16811273C2212yescomplemented
128#16811272C2214yescomplemented
129#16811272C2212yescomplemented
130#16811272C2214yescomplemented
131#16811271C2214yescomplemented
132#16811271C2214yescomplemented
133#16811271C2214yescomplemented
134#16811271C2214yescomplemented
135#16811270C2212yes—
136#16811268C2212yes—
137#16811268C2214yes—
138#16811266C2212yes—
139#16811265C2214yes—
140#16811265C2214yes—
141#16811262C2214yes—
142#16811262C2214yes—
143#16811261C2212yes—
144#16811261C2214yes—
145#16811253C2212yes—
146#16811252C2214yescomplemented
147#16811250C2212yes—
148#16811250C2214yescomplemented
149#16811248C2214yes—
150#16811248C2214yes—
151#16811247C2212yescomplemented
152#16811247C2212yescomplemented
153#16811245C2214yescomplemented
154#16811245C2212yescomplemented
155#16811245C2212yescomplemented
156#16811245C2212yescomplemented
157#16811244C2212yescomplemented
158#16811243C2214yescomplemented
159#16811242C2212yescomplemented
160#16811242C2212yescomplemented
161#16811239C2214yescomplemented
162#16811238C2212yescomplemented
163#16811238C2212yescomplemented
164#16811238C2212yescomplemented
165#16811237C2214yescomplemented
166#16811237C2214yescomplemented
167#16811229C2212yescomplemented
168#16811227C2212yescomplemented
169#16811225C2214yescomplemented
170#16811224C2212yescomplemented
171#16811224C2212yescomplemented
172#16811223C2214yescomplemented
173#16811220C2214yescomplemented
174#16811219C2214yescomplemented
175#16811217C2214yescomplemented
176#16811216C2214yescomplemented
177#16811215C2214yescomplemented
178#16811215C2214yescomplemented
179#16811209C2214yes—
180#16811207C2214yes—
181#16811204C2212yescomplemented
182#16811203C2214yescomplemented
183#16811203C2212yescomplemented
184#16811202C2212yescomplemented
185#16811201C2212yescomplemented
186#16811201C2214yescomplemented
187#16811200C2214yescomplemented
188#16811200C2214yescomplemented
189#16811200C2214yescomplemented
190#16811198C2214yescomplemented
191#16811196C2214yescomplemented
192#16811195C2214yescomplemented
193#16811195C2214yescomplemented
194#16811195C2214yescomplemented
195#16811191C2212yes—
196#16811186C2212yes—
197#16811179C2211yescharacteristic
198#16811177C2212yes—
199#16811177C2211yescharacteristic
200#16811177C2211yescharacteristic
201#16811177C2211yescharacteristic
202#16811177C2211yescharacteristic
203#16811177C2212yes—
204#16811177C2212yescomplemented
205#16811177C2211yescharacteristic, complemented
206#16811177C2211yescharacteristic, complemented
207#16811177C2211yescharacteristic, complemented
208#16811177C2211yescharacteristic, complemented
209#16811177C2212yescomplemented
210#16811177C2211yescharacteristic, complemented
211#16811177C2212yescomplemented
212#16811175C2211yescharacteristic, complemented
213#16811175C2212yescomplemented
214#16811174C2211yescharacteristic
215#16811173C2211yescharacteristic
216#16811173C2212yescomplemented
217#16811172C2211yescharacteristic
218#16811172C2212yes—
219#16811172C2212yescomplemented
220#16811171C2211yescharacteristic
221#16811170C2212yes—
222#16811170C2212yes—
223#16811170C2211yescharacteristic, complemented
224#16811170C2212yescomplemented
225#16811169C2212yes—
226#16811169C2212yescomplemented
227#16811168C2212yes—
228#16811168C2212yes—
229#16811168C2211yescharacteristic, complemented
230#16811168C2212yescomplemented
231#16811168C2212yescomplemented
232#16811168C2212yescomplemented
233C2×#13133216C2211yescharacteristic, complemented
234C2×#13133216C2212yescomplemented
235C2×#13133215C2211yescharacteristic, complemented
236C4⋊Q8×D53C2211yescharacteristic
237C4⋊Q8×D53C2212yescomplemented
238#127×D53C2211yescharacteristic
239#16811159C2212yescomplemented
240#16811158C2211yescharacteristic, complemented
241#16811157C2211yescharacteristic, complemented
242#16811157C2212yescomplemented
243#16811156C2212yes—
244#16811156C2212yescomplemented
245#16811154C2212yescomplemented
246#16811152C2211yescharacteristic, complemented
247#16811151C2212yes—
248#16811150C2212yescomplemented
249C2×#13133207C2212yescomplemented
250#124×D53C2212yes—
251#16811136C2211yescharacteristic
252#16811133C2211yescharacteristic
253#16811132C2212yes—
254#16811132C2214yes—
255#16811131C2212yes—
256#16811131C2214yes—
257C2×#13133197C2211yescharacteristic
258C2×#13133195C2214yes—
259C2×#13133195C2212yes—
260C2×#13133193C2211yescharacteristic
261C22⋊Q8×D53C2214yes—
262#121×D53C2212yes—
263#121×D53C2212yes—
264#16811105C2212yes—
265#16811105C2212yescomplemented
266#16811103C2212yescomplemented
267#16811102C2212yes—
268#16811102C2212yescomplemented
269#16811102C2214yescomplemented
270#16811095C2212yes—
271#16811095C2212yes—
272C4×#11719949C2211yescharacteristic
273#16811091C2212yescomplemented
274C4×#11719947C2211yescharacteristic
275C4×#11719947C2212yescomplemented
276C2×C4×Dic106C2211yescharacteristic, complemented
277C2×C4×Dic106C2212yescomplemented
278C4×D4×D53C2212yes—
279C4×D4×D53C2212yes—
280C2×#13133174C2212yes—
281C2×C42×D53C2211yescharacteristic
282C53×#559C2212yescomplemented
283C53×#559C2211yescharacteristic, complemented
284Q82×C53C2211yescharacteristic, complemented
285C53×#554C2212yescomplemented
286C53×#554C2211yescharacteristic, complemented
287C53×#550C2211yescharacteristic, complemented
288C53×#548C2212yescomplemented
289C53×#547C2214yescomplemented
290C53×#547C2212yescomplemented
291C53×#542C2214yescomplemented
292C53×#542C2212yescomplemented
293C53×#532C2211yescharacteristic
294C53×#532C2212yescomplemented
295C53×#529C2211yescharacteristic, complemented
296C53×#529C2212yescomplemented
297C53×#520C2212yescomplemented
298C2×C4×Q8×C53C2211yescharacteristic, complemented
299#13133264—416no—
300C2×#11719949C2311yescharacteristic
301C2×#11719949C2312yes—
302C2×#11719949C2312yes—
303C2×#11719945C2314yes—
304C2×#11719945C2314yes—
305C2×#11719945C2312yes—
306C2×#11719945C2312yes—
307C2×#11719945C2314yes—
308C2×#11719945C2314yes—
309C2×#11719945C2312yes—
310C2×#11719947C2311yescharacteristic
311C2×#11719947C2312yes—
312C2×#11719947C2314yes—
313C2×#11719947C2314yes—
314C2×#11719947C2312yes—
315C2×#11719947C2314yes—
316C2×#11719947C2314yes—
317C2×#11719947C2314yes—
318C2×#11719947C2312yes—
319#41×D53—48no—
320C22×Dic106C2312yes—
321C22×Dic106C2311yescharacteristic
322C22×Dic106C2314yes—
323C22×Dic106C2314yes—
324C2×Q8×D53C2314yes—
325C2×Q8×D53C2314yes—
326C2×Q8×D53C2312yes—
327C2×D4×D53C2312yes—
328C2×D4×D53C2312yes—
329C2×D4×D53C2314yes—
330C2×D4×D53C2312yes—
331C22×C4×D53C2311yescharacteristic
332C22×C4×D53C2311yescharacteristic
333C22×C4×D53C2311yescharacteristic
334C22×C4×D53C2314yes—
335#13133217C2312yes—
336#13133217C2312yes—
337#13133217C2311yescharacteristic
338#13133216C2312yes—
339#13133216C2314yes—
340#13133216C2314yes—
341#13133216C2314yes—
342#13133216C2311yescharacteristic
343#13133216C2312yes—
344#13133216C2311yescharacteristic
345#13133216C2314yes—
346#13133216C2314yes—
347#13133216C2312yes—
348#13133216C2311yescharacteristic
349#13133216C2312yes—
350#13133216C2312yes—
351#13133216C2312yes—
352#13133216C2311yescharacteristic
353#13133216C2312yes—
354#13133216C2311yescharacteristic
355#13133216C2311yescharacteristic
356#13133216C2312yes—
357#13133215C2311yescharacteristic
358#13133215C2314yes—
359#13133215C2314yes—
360#13133215C2311yescharacteristic
361#13133215C2312yes—
362#13133215C2311yescharacteristic
363#13133215C2312yes—
364#13133215C2311yescharacteristic
365#13133215C2311yescharacteristic
366#13133215C2312yes—
367#13133214C2312yes—
368#13133214C2311yescharacteristic
369#13133213C2311yescharacteristic
370#13133213C2312yes—
371#13133213C2312yes—
372#13133213C2312yes—
373#13133213C2312yes—
374#13133213C2312yes—
375#13133212C2314yes—
376#13133212C2314yes—
377#13133212C2314yes—
378#13133212C2312yes—
379#13133211C2314yes—
380#13133211C2314yes—
381#13133211C2314yes—
382#13133211C2312yes—
383#13133210C2314yes—
384#13133210C2314yes—
385#13133210C2314yes—
386#13133210C2314yes—
387#13133210C2314yes—
388#13133210C2312yes—
389#13133209C2314yes—
390#13133209C2311yescharacteristic
391#13133209C2312yes—
392#13133208C2314yes—
393#13133208C2312yes—
394#13133208C2312yes—
395#13133207C2312yes—
396#13133207C2314yes—
397#13133207C2314yes—
398#13133207C2314yes—
399#13133207C2312yes—
400#13133207C2312yes—
401#13133207C2314yes—
402#13133207C2312yes—
403#13133207C2312yes—
404#13133207C2312yes—
405#13133207C2312yes—
406#13133207C2312yes—
407#13133207C2312yes—
408#13133207C2312yes—
409#13133206C2314yes—
410#13133206C2314yes—
411#13133206C2312yes—
412#13133206C2312yes—
413#13133206C2312yes—
414#13133205C2314yes—
415#13133205C2312yes—
416#13133205C2314yes—
417#13133205C2312yes—
418#13133205C2311yescharacteristic
419#13133205C2312yes—
420#13133204C2312yes—
421#13133204C2312yes—
422#13133204C2312yes—
423#13133203C2314yes—
424#13133203C2314yes—
425#13133203C2314yes—
426#13133203C2312yes—
427#13133203C2314yes—
428#13133203C2314yes—
429#13133203C2314yes—
430#13133203C2314yes—
431#13133203C2314yes—
432#13133203C2314yes—
433#13133203C2312yes—
434#13133203C2314yes—
435#13133202C2314yes—
436#13133202C2314yes—
437#13133202C2314yes—
438#13133202C2314yes—
439#13133202C2314yes—
440#13133202C2314yes—
441#13133202C2314yes—
442#13133202C2314yes—
443#13133202C2312yes—
444#13133202C2312yes—
445#13133201C2314yes—
446#13133201C2314yes—
447#13133201C2314yes—
448#13133201C2314yes—
449#13133200C2312yes—
450#13133200C2314yes—
451#13133200C2314yes—
452#13133200C2314yes—
453#13133200C2314yes—
454#13133200C2314yes—
455#13133200C2314yes—
456#13133199C2314yes—
457#13133199C2314yes—
458#13133199C2314yes—
459#13133199C2314yes—
460#13133199C2314yes—
461#13133199C2314yes—
462#13133199C2312yes—
463#13133199C2312yes—
464#13133198C2314yes—
465#13133198C2314yes—
466#13133198C2314yes—
467#13133198C2314yes—
468#13133197C2311yescharacteristic
469#13133197C2314yes—
470#13133197C2311yescharacteristic
471#13133197C2312yes—
472#13133197C2314yes—
473#13133197C2314yes—
474#13133197C2312yes—
475#13133197C2312yes—
476#13133197C2311yescharacteristic
477#13133197C2311yescharacteristic
478#13133197C2311yescharacteristic
479#13133196C2312yes—
480#13133196C2314yes—
481#13133196C2314yes—
482#13133196C2314yes—
483#13133196C2314yes—
484#13133196C2314yes—
485#13133196C2311yescharacteristic
486#13133195C2312yes—
487#13133195C2314yes—
488#13133195C2312yes—
489#13133195C2314yes—
490#13133195C2314yes—
491#13133195C2314yes—
492#13133195C2312yes—
493#13133195C2314yes—
494#13133195C2314yes—
495#13133195C2314yes—
496#13133195C2314yes—
497#13133195C2314yes—
498#13133195C2314yes—
499#13133195C2314yes—
500#13133195C2314yes—
501#13133195C2314yes—
502#13133195C2312yes—
503#13133195C2314yes—
504#13133195C2314yes—
505#13133195C2312yes—
506#13133195C2312yes—
507#13133195C2312yes—
508#13133195C2312yes—
509#13133195C2312yes—
510#13133195C2312yes—
511#13133195C2312yes—
512#13133194C2314yes—
513#13133194C2314yes—
514#13133194C2314yes—
515#13133194C2314yes—
516#13133194C2314yes—
517#13133194C2314yes—
518#13133194C2314yes—
519#13133194C2314yes—
520#13133194C2314yes—
521#13133194C2314yes—
522#13133194C2314yes—
523#13133194C2312yes—
524#13133193C2311yescharacteristic
525#13133193C2312yes—
526#13133193C2314yes—
527#13133193C2314yes—
528#13133193C2314yes—
529#13133193C2314yes—
530#13133193C2314yes—
531#13133193C2314yes—
532#13133193C2311yescharacteristic
533#13133193C2312yes—
534#13133193C2312yes—
535#13133193C2311yescharacteristic
536#13133193C2311yescharacteristic
537#13133193C2311yescharacteristic
538#13133192C2314yes—
539#13133192C2314yes—
540#13133192C2312yes—
541#13133192C2314yes—
542#13133192C2312yes—
543#13133192C2312yes—
544#13133192C2311yescharacteristic
545#13133191C2314yes—
546#13133191C2314yes—
547#13133191C2314yes—
548#13133191C2312yes—
549#13133191C2312yes—
550#13133191C2314yes—
551#13133191C2314yes—
552#13133191C2312yes—
553#13133191C2311yescharacteristic
554#13133190C2314yes—
555#13133190C2314yes—
556#13133190C2314yes—
557#13133190C2314yes—
558#13133190C2314yes—
559#13133190C2314yes—
560#13133190C2314yes—
561#13133190C2314yes—
562#13133190C2314yes—
563#13133190C2314yes—
564#13133190C2314yes—
565#13133190C2312yes—
566#13133190C2312yes—
567#13133190C2312yes—
568#13133189C2314yes—
569#13133189C2314yes—
570#13133189C2314yes—
571#13133189C2314yes—
572#13133189C2314yes—
573#13133189C2314yes—
574#13133189C2314yes—
575#13133189C2314yes—
576#13133189C2314yes—
577#13133189C2314yes—
578#13133189C2314yes—
579#13133189C2314yes—
580#13133189C2314yes—
581#13133189C2312yes—
582#13133188C2312yes—
583#13133188C2314yes—
584#13133188C2314yes—
585#13133188C2312yes—
586#13133188C2312yes—
587#13133188C2311yescharacteristic
588#13133187C2312yes—
589#13133187C2314yes—
590#13133187C2314yes—
591#13133185C2314yes—
592#13133185C2314yes—
593#13133185C2312yes—
594Q8×Dic53C2312yes—
595Q8×Dic53C2312yes—
596Q8×Dic53C2311yescharacteristic
597C4×Dic106C2312yes—
598C4×Dic106C2312yes—
599C4×Dic106C2312yes—
600C4×Dic106C2312yes—
601C4×Dic106C2314yes—
602C4×Dic106C2312yes—
603C4×Dic106C2312yes—
604C4×Dic106C2312yes—
605C4×Dic106C2312yes—
606C4×Dic106C2312yes—
607C4×Dic106C2312yes—
608C4×Dic106C2311yescharacteristic
609C4×Dic106C2311yescharacteristic
610C4×Dic106C2312yes—
611C4×Dic106C2312yes—
612C4×Dic106C2311yescharacteristic
613C4×Dic106C2311yescharacteristic
614C4×Dic106C2312yes—
615C4×Dic106C2311yescharacteristic
616#13133182C2312yes—
617#13133182C2314yes—
618#13133182C2312yes—
619#13133182C2312yes—
620#13133182C2312yes—
621#13133182C2312yes—
622#13133182C2311yescharacteristic
623C4×D212C2312yes—
624C4×D212C2312yes—
625C4×D212C2314yes—
626C4×D212C2314yes—
627C4×D212C2312yes—
628C4×D212C2312yes—
629C4×D212C2311yescharacteristic
630C4×D212C2312yes—
631C4×D212C2312yes—
632C4×D212C2312yes—
633D4×Dic53C2312yes—
634D4×Dic53C2312yes—
635D4×Dic53C2314yes—
636D4×Dic53C2312yes—
637D4×Dic53C2311yescharacteristic
638D4×Dic53C2312yes—
639D4×Dic53C2312yes—
640D4×Dic53C2312yes—
641D4×Dic53C2312yes—
642#13133179C2312yes—
643#13133179C2314yes—
644#13133179C2312yes—
645#13133179C2312yes—
646#13133179C2312yes—
647#13133179C2314yes—
648#13133179C2311yescharacteristic
649#13133179C2312yes—
650#13133179C2312yes—
651#13133179C2312yes—
652#13133179C2312yes—
653#13133179C2312yes—
654C4×C22⋊D53C2312yes—
655C4×C22⋊D53C2312yes—
656C4×C22⋊D53C2314yes—
657C4×C22⋊D53C2314yes—
658C4×C22⋊D53C2312yes—
659C4×C22⋊D53C2314yes—
660C4×C22⋊D53C2314yes—
661C4×C22⋊D53C2314yes—
662C4×C22⋊D53C2314yes—
663C4×C22⋊D53C2314yes—
664C4×C22⋊D53C2314yes—
665#13133177C2314yes—
666#13133177C2314yes—
667#13133177C2312yes—
668#13133177C2312yes—
669#13133177C2312yes—
670#13133177C2314yes—
671#13133177C2314yes—
672#13133177C2314yes—
673#13133177C2312yes—
674#13133177C2314yes—
675#13133177C2314yes—
676#13133177C2314yes—
677#13133177C2312yes—
678#13133177C2314yes—
679#13133177C2314yes—
680#13133177C2312yes—
681#13133177C2312yes—
682#13133175C2314yes—
683#13133175C2311yescharacteristic
684#13133175C2312yes—
685#13133175C2311yescharacteristic
686#13133175C2312yes—
687#13133174C2312yes—
688#13133174C2312yes—
689#13133174C2314yes—
690#13133174C2314yes—
691#13133174C2312yes—
692#13133174C2314yes—
693#13133174C2312yes—
694#13133174C2312yes—
695#13133174C2312yes—
696#13133174C2312yes—
697#13133174C2312yes—
698#13133174C2312yes—
699#13133174C2312yes—
700#13133173C2314yes—
701#13133173C2314yes—
702#13133173C2314yes—
703#13133173C2312yes—
704#13133173C2312yes—
705#13133173C2312yes—
706C2×C4⋊Dic53C2311yescharacteristic
707C2×C4⋊Dic53C2312yes—
708C2×C4⋊Dic53C2312yes—
709C2×#11719919C2312yes—
710C2×#11719919C2312yes—
711C2×#11719919C2314yes—
712C2×#11719919C2314yes—
713C2×#11719919C2314yes—
714C2×#11719919C2312yes—
715C2×#11719919C2312yes—
716C2×#11719919C2312yes—
717C4⋊C4×D53C2314yes—
718C4⋊C4×D53C2314yes—
719C4⋊C4×D53C2314yes—
720C4⋊C4×D53C2312yes—
721C4⋊C4×D53C2312yes—
722C4⋊C4×D53C2314yes—
723C4⋊C4×D53C2312yes—
724C4⋊C4×D53C2312yes—
725C2×#11719921C2312yes—
726C2×#11719921C2314yes—
727C2×#11719921C2312yes—
728C2×#11719921C2314yes—
729C22⋊C4×D53C2314yes—
730C22⋊C4×D53C2314yes—
731C22⋊C4×D53C2314yes—
732C22⋊C4×D53C2314yes—
733C2×C4×Dic53C2311yescharacteristic
734C2×C4×Dic53C2311yescharacteristic
735C2×C4×Dic53C2311yescharacteristic
736C2×C4×Dic53C2312yes—
737C2×C4×Dic53C2312yes—
738C42×D53C2311yescharacteristic
739C42×D53C2311yescharacteristic
740C42×D53C2311yescharacteristic
741C42×D53C2311yescharacteristic
742C42×D53C2311yescharacteristic
743C42×D53C2311yescharacteristic
744C42×D53C2311yescharacteristic
745C42×D53C2311yescharacteristic
746C42×D53C2312yes—
747C2×#41×C53C2312yes—
748C2×#41×C53C2312yes—
749C2×#41×C53C2314yes—
750C22×Q8×C53C2311yescharacteristic
751C4⋊Q8×C53C2314yes—
752C4⋊Q8×C53C2312yes—
753C4⋊Q8×C53C2312yes—
754C4⋊Q8×C53C2311yescharacteristic
755#127×C53C2312yes—
756#127×C53C2311yescharacteristic
757#126×C53C2314yes—
758#126×C53C2312yes—
759#125×C53C2311yescharacteristic
760#125×C53C2312yes—
761#124×C53C2312yes—
762#124×C53C2314yes—
763#124×C53C2312yes—
764#124×C53C2311yescharacteristic
765#124×C53C2312yes—
766#124×C53C2314yes—
767#123×C53C2314yes—
768#123×C53C2314yes—
769#123×C53C2312yes—
770#123×C53C2314yes—
771#123×C53C2314yes—
772C22⋊Q8×C53C2312yes—
773C22⋊Q8×C53C2314yes—
774C22⋊Q8×C53C2314yes—
775C22⋊Q8×C53C2314yes—
776C22⋊Q8×C53C2311yescharacteristic
777C22⋊Q8×C53C2314yes—
778#121×C53C2312yes—
779#121×C53C2312yes—
780#121×C53C2312yes—
781#121×C53C2311yescharacteristic
782#121×C53C2314yes—
783#121×C53C2314yes—
784C4×Q8×C53C2311yescharacteristic
785C4×Q8×C53C2311yescharacteristic
786C4×Q8×C53C2311yescharacteristic
787C4×Q8×C53C2312yes—
788C4×Q8×C53C2311yescharacteristic
789C4×Q8×C53C2312yes—
790C4×Q8×C53C2312yes—
791C4×Q8×C53C2312yes—
792C4×Q8×C53C2311yescharacteristic
793C4×D4×C53C2312yes—
794C4×D4×C53C2314yes—
795C4×D4×C53C2312yes—
796C4×D4×C53C2314yes—
797C4×D4×C53C2314yes—
798C4×D4×C53C2312yes—
799C4×D4×C53C2312yes—
800C4×D4×C53C2311yescharacteristic
801C4×D4×C53C2312yes—
802C4×D4×C53C2312yes—
803C4×D4×C53C2312yes—
804#117×C53C2314yes—
805#117×C53C2312yes—
806C2×C4⋊C4×C53C2312yes—
807C2×C4⋊C4×C53C2311yescharacteristic
808C2×C4⋊C4×C53C2312yes—
809C2×C4⋊C4×C53C2314yes—
810C2×C42×C53C2311yescharacteristic
811C2×C42×C53C2312yes—
812C23×D53C2411yescharacteristic
813C23×D53C2414yes—
814#41×C53—44no—
815#41×C53—48no—
816#41×C53—44no—
817C2×Q8×C53—42no—
818C2×Q8×C53C2411yescharacteristic
819C2×Q8×C53C2411yescharacteristic
820C2×Q8×C53C2411yescharacteristic
821C2×Q8×C53C2412yes—
822C2×Q8×C53C2414yes—
823C2×Q8×C53C2412yes—
824C2×D4×C53C2412yes—
825C2×D4×C53C2411yescharacteristic
826C2×D4×C53C2412yes—
827C2×D4×C53C2412yes—
828C2×D4×C53C2414yes—
829C2×D4×C53C2414yes—
830C2×D4×C53C2414yes—
831C2×D4×C53C2412yes—
832C22×C4×C53C2411yescharacteristic
833C22×C4×C53C2411yescharacteristic
834C22×C4×C53C2412yes—
835C22×C4×C53C2411yescharacteristic
836C22×C4×C53C2412yes—
837C22×C4×C53C2412yes—
838C22×C4×C53C2414yes—
839C22×C4×C53C2414yes—
840C22×C4×C53C2414yes—
841C22×C4×C53C2414yes—
842C2×C22⋊D53C2412yes—
843C2×C22⋊D53C2414yes—
844C2×C22⋊D53C2412yes—
845C2×C22⋊D53C2414yes—
846C2×C22⋊D53C2412yes—
847C2×C22⋊D53C2414yes—
848C2×C22⋊D53C2412yes—
849C2×C22⋊D53C2414yes—
850C2×C22⋊D53C2412yes—
851C2×C22⋊D53C2414yes—
852C2×C22⋊D53C2414yes—
853C2×C22⋊D53C2414yes—
854C2×C22⋊D53C2414yes—
855C2×C22⋊D53C2414yes—
856C22×Dic53C2411yescharacteristic
857C22×Dic53C2412yes—
858C22×Dic53C2412yes—
859C22×Dic53C2412yes—
860C22×Dic53C2414yes—
861C22×Dic53C2411yescharacteristic
862C22×Dic53C2412yes—
863C22×Dic53C2414yes—
864C22×Dic53C2414yes—
865C22×Dic53C2414yes—
866C22×Dic53C2411yescharacteristic
867#11719949—24no—
868#11719949—44no—
869#11719949—44no—
870Q8×D53—44no—
871Q8×D53—48no—
872Q8×D53—48no—
873#11719947—216no—
874#11719947—28no—
875#11719947—24no—
876#11719947—44no—
877#11719947—48no—
878#11719947—48no—
879#11719947—44no—
880#11719947—48no—
881#11719947—48no—
882D4×D53—28no—
883D4×D53—44no—
884D4×D53—44no—
885D4×D53—48no—
886#11719945—48no—
887#11719945—48no—
888#11719945—48no—
889#11719945—44no—
890#11719945—44no—
891#11719945—44no—
892#11719945—48no—
893C2×D212C2412yes—
894C2×D212C2412yes—
895C2×D212C2411yescharacteristic
896C2×D212C2412yes—
897C2×D212C2412yes—
898C2×D212C2414yes—
899C2×D212C2414yes—
900C2×D212C2414yes—
901C2×D212C2412yes—
902C2×C4×D53—24no—
903C2×C4×D53—24no—
904C2×C4×D53—48no—
905C2×C4×D53—42no—
906C2×C4×D53C2411yescharacteristic
907C2×C4×D53C2411yescharacteristic
908C2×C4×D53C2411yescharacteristic
909C2×C4×D53C2411yescharacteristic
910C2×C4×D53C2411yescharacteristic
911C2×C4×D53C2411yescharacteristic
912C2×C4×D53C2411yescharacteristic
913C2×C4×D53C2411yescharacteristic
914C2×C4×D53C2411yescharacteristic
915C2×C4×D53C2412yes—
916C2×C4×D53C2412yes—
917C2×C4×D53C2412yes—
918C2×C4×D53C2414yes—
919C2×C4×D53C2411yescharacteristic
920C2×C4×D53C2411yescharacteristic
921C2×C4×D53C2414yes—
922C2×C4×D53C2414yes—
923C2×C4×D53C2414yes—
924C2×C4×D53C2414yes—
925C2×C4×D53C2414yes—
926C2×C4×D53C2414yes—
927C2×C4×D53C2414yes—
928C2×C4×D53C2414yes—
929C2×C4×D53C2411yescharacteristic
930C2×Dic106—28no—
931C2×Dic106—48no—
932C2×Dic106—48no—
933C2×Dic106—42no—
934C2×Dic106C2411yescharacteristic
935C2×Dic106C2411yescharacteristic
936C2×Dic106C2412yes—
937C2×Dic106C2414yes—
938C2×Dic106C2411yescharacteristic
939C2×Dic106C2412yes—
940C2×Dic106C2412yes—
941C2×Dic106C2412yes—
942C2×Dic106C2412yes—
943C2×Dic106C2412yes—
944C2×Dic106C2412yes—
945C2×Dic106C2414yes—
946C2×Dic106C2412yes—
947C2×Dic106C2414yes—
948C2×Dic106C2414yes—
949C4⋊C4×C53C2411yescharacteristic
950C4⋊C4×C53C2412yes—
951C4⋊C4×C53C2412yes—
952C4⋊C4×C53C2414yes—
953C4⋊C4×C53C2412yes—
954C4⋊C4×C53C2414yes—
955C4⋊C4×C53C2411yescharacteristic
956C4⋊C4×C53C2412yes—
957C4⋊C4×C53C2412yes—
958C4⋊C4×C53C2412yes—
959C4⋊C4×C53C2412yes—
960C4⋊C4×C53C2412yes—
961C4⋊C4×C53C2411yescharacteristic
962C4⋊C4×C53C2412yes—
963C4⋊C4×C53C2411yescharacteristic
964C4⋊C4×C53C2414yes—
965C4⋊C4×C53C2412yes—
966C4⋊C4×C53C2414yes—
967C4⋊C4×C53C2412yes—
968C22⋊C4×C53C2414yes—
969C22⋊C4×C53C2412yes—
970C22⋊C4×C53C2412yes—
971C22⋊C4×C53C2414yes—
972C22⋊C4×C53C2412yes—
973C22⋊C4×C53C2414yes—
974C22⋊C4×C53C2412yes—
975C22⋊C4×C53C2414yes—
976C22⋊C4×C53C2414yes—
977C22⋊C4×C53C2414yes—
978C22⋊C4×C53C2414yes—
979C22⋊C4×C53C2412yes—
980C42×C53C2411yescharacteristic
981C42×C53C2412yes—
982C42×C53C2411yescharacteristic
983C42×C53C2412yes—
984C42×C53C2411yescharacteristic
985C42×C53C2412yes—
986C42×C53C2411yescharacteristic
987C42×C53C2412yes—
988C42×C53C2412yes—
989C42×C53C2414yes—
990C22⋊Dic53C2414yes—
991C22⋊Dic53C2414yes—
992C22⋊Dic53C2414yes—
993C22⋊Dic53C2414yes—
994C22⋊Dic53C2412yes—
995C22⋊Dic53C2414yes—
996C22⋊Dic53C2414yes—
997C22⋊Dic53C2412yes—
998C22⋊Dic53C2414yes—
999C22⋊Dic53C2412yes—
1000#11719921C2412yes—
1001#11719921C2412yes—
1002#11719921C2412yes—
1003#11719921C2412yes—
1004#11719921C2414yes—
1005#11719921C2414yes—
1006#11719921C2414yes—
1007#11719921C2414yes—
1008#11719921C2412yes—
1009#11719921C2412yes—
1010#11719921C2412yes—
1011#11719921C2412yes—
1012#11719921C2412yes—
1013#11719921C2412yes—
1014#11719921C2414yes—
1015#11719921C2414yes—
1016#11719921C2414yes—
1017#11719921C2414yes—
1018#11719921C2412yes—
1019#11719921C2414yes—
1020#11719921C2412yes—
1021#11719921C2412yes—
1022#11719921C2412yes—
1023#11719921C2414yes—
1024#11719921C2414yes—
1025#11719921C2414yes—
1026#11719921C2414yes—
1027#11719921C2412yes—
1028#11719921C2412yes—
1029#11719921C2414yes—
1030#11719921C2412yes—
1031#11719921C2412yes—
1032C4⋊Dic53C2411yescharacteristic
1033C4⋊Dic53C2412yes—
1034C4⋊Dic53C2414yes—
1035C4⋊Dic53C2412yes—
1036C4⋊Dic53C2414yes—
1037C4⋊Dic53C2414yes—
1038C4⋊Dic53C2414yes—
1039C4⋊Dic53C2411yescharacteristic
1040C4⋊Dic53C2412yes—
1041C4⋊Dic53C2412yes—
1042C4⋊Dic53C2412yes—
1043C4⋊Dic53C2412yes—
1044C4⋊Dic53C2412yes—
1045C4⋊Dic53C2411yescharacteristic
1046C4⋊Dic53C2411yescharacteristic
1047C4⋊Dic53C2412yes—
1048C4⋊Dic53C2412yes—
1049#11719919C2412yes—
1050#11719919C2412yes—
1051#11719919C2412yes—
1052#11719919C2414yes—
1053#11719919C2412yes—
1054#11719919C2412yes—
1055#11719919C2414yes—
1056#11719919C2414yes—
1057#11719919C2414yes—
1058#11719919C2414yes—
1059#11719919C2412yes—
1060#11719919C2412yes—
1061#11719919C2412yes—
1062#11719919C2412yes—
1063#11719919C2412yes—
1064#11719919C2412yes—
1065#11719919C2412yes—
1066#11719919C2412yes—
1067#11719919C2412yes—
1068#11719919C2412yes—
1069#11719919C2414yes—
1070#11719919C2414yes—
1071#11719919C2414yes—
1072#11719919C2412yes—
1073#11719919C2414yes—
1074#11719919C2414yes—
1075#11719919C2412yes—
1076#11719919C2412yes—
1077#11719919C2412yes—
1078#11719919C2412yes—
1079#11719919C2412yes—
1080#11719919C2412yes—
1081#11719919C2412yes—
1082#11719919C2412yes—
1083#11719919C2412yes—
1084#11719919C2412yes—
1085#11719919C2412yes—
1086#11719919C2412yes—
1087#11719919C2412yes—
1088#11719919C2412yes—
1089C4×Dic53C2411yescharacteristic
1090C4×Dic53C2411yescharacteristic
1091C4×Dic53C2411yescharacteristic
1092C4×Dic53C2411yescharacteristic
1093C4×Dic53C2411yescharacteristic
1094C4×Dic53C2411yescharacteristic
1095C4×Dic53C2411yescharacteristic
1096C4×Dic53C2411yescharacteristic
1097C4×Dic53C2411yescharacteristic
1098C4×Dic53C2411yescharacteristic
1099C4×Dic53C2411yescharacteristic
1100C4×Dic53C2411yescharacteristic
1101C4×Dic53C2412yes—
1102C4×Dic53C2412yes—
1103C4×Dic53C2412yes—
1104C4×Dic53C2412yes—
1105C4×Dic53C2412yes—
1106C4×Dic53C2412yes—
1107C4×Dic53C2412yes—
1108C4×Dic53C2412yes—
1109C4×Dic53C2412yes—
1110C4×Dic53C2414yes—
1111C4×Dic53C2414yes—
1112C4×Dic53C2414yes—
1113C23×C53C2512yes—
1114C23×C53C2514yes—
1115C23×C53C2511yescharacteristic
1116C22×D53—22no—
1117C22×D53—22no—
1118C22×D53—28no—
1119C22×D53—41no—
1120C22×D53—44no—
1121C22×D53—44no—
1122C22×D53C2512yes—
1123C22×D53C2511yescharacteristic
1124C22×D53C2514yes—
1125C22×D53C2511yescharacteristic
1126Q8×C53—22no—
1127Q8×C53—22no—
1128Q8×C53—22no—
1129Q8×C53—44no—
1130Q8×C53—42no—
1131Q8×C53—42no—
1132D4×C53—28no—
1133D4×C53—24no—
1134D4×C53—24no—
1135D4×C53—22no—
1136D4×C53—24no—
1137D4×C53—42no—
1138D4×C53—44no—
1139D4×C53—44no—
1140C2×C4×C53—24no—
1141C2×C4×C53—22no—
1142C2×C4×C53—22no—
1143C2×C4×C53—22no—
1144C2×C4×C53—24no—
1145C2×C4×C53—44no—
1146C2×C4×C53—44no—
1147C2×C4×C53—44no—
1148C2×C4×C53—42no—
1149C2×C4×C53—44no—
1150C2×C4×C53C2512yes—
1151C2×C4×C53C2512yes—
1152C2×C4×C53C2512yes—
1153C2×C4×C53C2514yes—
1154C2×C4×C53C2511yescharacteristic
1155C2×C4×C53C2511yescharacteristic
1156C2×C4×C53C2512yes—
1157C2×C4×C53C2511yescharacteristic
1158C2×C4×C53C2512yes—
1159C2×C4×C53C2511yescharacteristic
1160C2×C4×C53C2512yes—
1161C2×C4×C53C2512yes—
1162C2×C4×C53C2511yescharacteristic
1163C2×C4×C53C2511yescharacteristic
1164C22⋊D53—28no—
1165C22⋊D53—24no—
1166C22⋊D53—24no—
1167C22⋊D53—28no—
1168C22⋊D53—24no—
1169C22⋊D53—28no—
1170C22⋊D53—44no—
1171C22⋊D53—44no—
1172C22⋊D53—44no—
1173C22⋊D53—44no—
1174C22⋊D53—42no—
1175C22⋊D53—42no—
1176C22⋊D53—44no—
1177C22⋊D53—44no—
1178C2×Dic53—24no—
1179C2×Dic53—24no—
1180C2×Dic53—28no—
1181C2×Dic53—22no—
1182C2×Dic53—24no—
1183C2×Dic53—44no—
1184C2×Dic53—44no—
1185C2×Dic53—42no—
1186C2×Dic53—41no—
1187C2×Dic53—44no—
1188C2×Dic53H(5,𝔽2)14yes—
1189C2×Dic53C2512yes—
1190C2×Dic53C2514yes—
1191C2×Dic53C2512yes—
1192C2×Dic53C2512yes—
1193C2×Dic53C2512yes—
1194C2×Dic53C2511yescharacteristic
1195C2×Dic53C2512yes—
1196C2×Dic53C2512yes—
1197C2×Dic53C2512yes—
1198C2×Dic53C2511yescharacteristic
1199C2×Dic53C2511yescharacteristic
1200C2×Dic53C2511yescharacteristic
1201C2×Dic53C2511yescharacteristic
1202C2×Dic53C2511yescharacteristic
1203D212—24no—
1204D212—24no—
1205D212—22no—
1206D212—24no—
1207D212—42no—
1208D212—44no—
1209D212—44no—
1210D212—42no—
1211D212—44no—
1212C4×D53—22no—
1213C4×D53—22no—
1214C4×D53—22no—
1215C4×D53—22no—
1216C4×D53—24no—
1217C4×D53—22no—
1218C4×D53—22no—
1219C4×D53—22no—
1220C4×D53—22no—
1221C4×D53—28no—
1222C4×D53—24no—
1223C4×D53—22no—
1224C4×D53—24no—
1225C4×D53—41no—
1226C4×D53—41no—
1227C4×D53—44no—
1228C4×D53—44no—
1229C4×D53—44no—
1230C4×D53—44no—
1231C4×D53—44no—
1232C4×D53—44no—
1233C4×D53—44no—
1234C4×D53—44no—
1235C4×D532−1+414yescomplemented
1236Dic106—22no—
1237Dic106—22no—
1238Dic106—22no—
1239Dic106—24no—
1240Dic106—24no—
1241Dic106—24no—
1242Dic106—24no—
1243Dic106—24no—
1244Dic106—28no—
1245Dic106—44no—
1246Dic106—42no—
1247Dic106—44no—
1248Dic106—44no—
1249Dic106—42no—
1250Dic106—42no—
1251#62835—531nomaximal, Sylow
1252C22×C53—21no—
1253C22×C53—21no—
1254C22×C53—22no—
1255C22×C53—24no—
1256C22×C53—22no—
1257C22×C53—24no—
1258C22×C53—24no—
1259C22×C53—22no—
1260C22×C53C2×H(5,𝔽2)12yes—
1261C22×C53C2611yescharacteristic
1262C2×D53—21no—
1263C2×D53—21no—
1264C2×D53—21no—
1265C2×D53—22no—
1266C2×D53—24no—
1267C2×D53—21no—
1268C2×D53—22no—
1269C2×D53—24no—
1270C2×D53—21no—
1271C2×D53—22no—
1272C2×D53—24no—
1273C2×D53—44no—
1274C2×D53—88no—
1275C2×D53C2×2−1+412yes—
1276C4×C53—22no—
1277C4×C53—22no—
1278C4×C53—22no—
1279C4×C53—24no—
1280C4×C53—21no—
1281C4×C53—21no—
1282C4×C53—21no—
1283C4×C53—22no—
1284C4×C53—21no—
1285C4×C53—22no—
1286C4×C53—22no—
1287C4×C53—22no—
1288C4×C53C2×2−1+412yes—
1289C4×C53#58512yes—
1290Dic53—22no—
1291Dic53—22no—
1292Dic53—22no—
1293Dic53—24no—
1294Dic53—22no—
1295Dic53—21no—
1296Dic53—22no—
1297Dic53—22no—
1298Dic53—21no—
1299Dic53—22no—
1300Dic53—21no—
1301Dic53C2×H(5,𝔽2)12yes—
1302Dic53C2×H(5,𝔽2)12yes—
1303Dic53C2×2−1+412yes—
1304#3561—534no—
1305#3559—534no—
1306#3554—532no—
1307#3554—532no—
1308#3550—531no—
1309#3550—531no—
1310#3548—531no—
1311#3548—531no—
1312#3547—534no—
1313#3536—532no—
1314#3536—532no—
1315#3522—531no—
1316#3522—531no—
1317#3522—531no—
1318#3522D5311yescharacteristic, complemented
1319#3520—532no—
1320#3520—532no—
1321#3511—532no—
1322#3511—532no—
1323#3511—532no—
1324#3508—531no—
1325#3508—531no—
1326#3507—532no—
1327#3506—532no—
1328#3503—531no—
1329#3503—531no—
1330#3501—532no—
1331#3499—532no—
1332#3497—532no—
1333#3494—532no—
1334#3494—532no—
1335#3489—534no—
1336#3444—531no—
1337C2×#533—531no—
1338C2×#532—531no—
1339C2×C53—22no—
1340C2×C53—44no—
1341C2×C53—42no—
1342C2×C53C22×H(5,𝔽2)11yescharacteristic
1343C2×C53C22×2−1+411yescharacteristic
1344C2×C53C2×#58511yescharacteristic
1345D53—22no—
1346D53—42no—
1347D53—41no—
1348D53—44no—
1349C2×2−1+4—534no—
1350C22×#41—532no—
1351#563—534no—
1352#563—534no—
1353#562—534no—
1354#562—534no—
1355#562—534no—
1356#562—534no—
1357#562—534no—
1358#562—534no—
1359#559—531no—
1360#559—532no—
1361#559—532no—
1362#559—532no—
1363#559—531no—
1364#559—531no—
1365#559—532no—
1366#559—532no—
1367#559C2×D5312yescomplemented
1368#559C2×D5311yescharacteristic, complemented
1369Q82—531no—
1370Q82—531no—
1371Q82—531no—
1372Q82C2×D5311yescharacteristic, complemented
1373#557—532no—
1374#557—532no—
1375#556—534no—
1376#556—532no—
1377#556—532no—
1378#556—532no—
1379#556—532no—
1380#556—534no—
1381#555—534no—
1382#555—534no—
1383#555—534no—
1384#554—532no—
1385#554—531no—
1386#554—532no—
1387#554—532no—
1388#554—534no—
1389#554—534no—
1390#554—532no—
1391#554—532no—
1392#554—532no—
1393#554—531no—
1394#554—531no—
1395#554—532no—
1396#554—532no—
1397#554—532no—
1398#554—534no—
1399#554C2×D5312yescomplemented
1400#554C2×D5311yescharacteristic, complemented
1401#553—534no—
1402#553—534no—
1403#553—534no—
1404#553—534no—
1405#553—534no—
1406#553—534no—
1407#552—534no—
1408#552—534no—
1409#551—534no—
1410#551—534no—
1411#551—534no—
1412#551—534no—
1413#550—532no—
1414#550—532no—
1415#550—531no—
1416#550—531no—
1417#550—532no—
1418#550—532no—
1419#550—531no—
1420#550C2×D5311yescharacteristic, complemented
1421D4×Q8—534no—
1422D4×Q8—532no—
1423D4×Q8—532no—
1424D4×Q8—532no—
1425D4×Q8—534no—
1426D4×Q8—534no—
1427D4×Q8—532no—
1428D4×Q8—532no—
1429D4×Q8—532no—
1430#548—532no—
1431#548—534no—
1432#548—534no—
1433#548—534no—
1434#548—532no—
1435#548—534no—
1436#548—534no—
1437#548—534no—
1438#548—532no—
1439#548C2×D5312yescomplemented
1440#547—534no—
1441#547—534no—
1442#547—532no—
1443#547—534no—
1444#547—534no—
1445#547—534no—
1446#547—534no—
1447#547—532no—
1448#547—532no—
1449#547—532no—
1450#547—532no—
1451#547—534no—
1452#547—534no—
1453#547—532no—
1454#547—532no—
1455#547C2×D5314yescomplemented
1456#547C2×D5312yescomplemented
1457#546—534no—
1458#546—532no—
1459#546—532no—
1460#546—534no—
1461#546—534no—
1462#546—532no—
1463#546—534no—
1464#546—534no—
1465#546—534no—
1466#546—532no—
1467#544—532no—
1468#544—534no—
1469#544—532no—
1470#544—534no—
1471#543—534no—
1472#543—534no—
1473#542—532no—
1474#542—532no—
1475#542—534no—
1476#542—532no—
1477#542—532no—
1478#542—534no—
1479#542—534no—
1480#542—534no—
1481#542—532no—
1482#542—532no—
1483#542—532no—
1484#542—534no—
1485#542—532no—
1486#542—532no—
1487#542—532no—
1488#542—532no—
1489#542C2×D5312yescomplemented
1490#542C2×D5314yescomplemented
1491#540—532no—
1492#540—532no—
1493#540—534no—
1494#540—534no—
1495#540—532no—
1496#540—532no—
1497#539—534no—
1498#539—534no—
1499#539—534no—
1500#539—534no—
1501#539—534no—
1502#539—534no—
1503#538—534no—
1504#538—534no—
1505#537—534no—
1506#537—532no—
1507#537—534no—
1508#537—532no—
1509#537—534no—
1510#537—534no—
1511#537—534no—
1512#537—532no—
1513#537—532no—
1514#536—534no—
1515#536—534no—
1516#536—534no—
1517#536—534no—
1518#536—534no—
1519#535—532no—
1520#535—532no—
1521#533—531no—
1522#533—531no—
1523#533—532no—
1524#533—532no—
1525#533—531no—
1526#533—531no—
1527#533—531no—
1528#533—531no—
1529#533—532no—
1530#533—531no—
1531#533—531no—
1532#533—532no—
1533#533—531no—
1534#533—531no—
1535#533—532no—
1536#533—531no—
1537#533—532no—
1538#532—532no—
1539#532—532no—
1540#532—531no—
1541#532—531no—
1542#532—532no—
1543#532—531no—
1544#532—532no—
1545#532—532no—
1546#532—532no—
1547#532—531no—
1548#532—532no—
1549#532—532no—
1550#532—532no—
1551#532—532no—
1552#532—532no—
1553#532—531no—
1554#532—532no—
1555#532—531no—
1556#532—532no—
1557#532C2×D5311yescharacteristic
1558#532C2×D5312yescomplemented
1559C2×C4⋊Q8—531no—
1560C2×C4⋊Q8—531no—
1561C2×C4⋊Q8—532no—
1562C2×C4⋊Q8—531no—
1563C2×C4⋊Q8—532no—
1564C2×#127—531no—
1565#529—532no—
1566#529—532no—
1567#529—531no—
1568#529—531no—
1569#529—532no—
1570#529—532no—
1571#529—532no—
1572#529—532no—
1573#529—531no—
1574#529—532no—
1575#529C2×D5311yescharacteristic, complemented
1576#529C2×D5312yescomplemented
1577C2×#125—532no—
1578C2×#124—532no—
1579#525—532no—
1580#525—534no—
1581#525—531no—
1582#525—531no—
1583#525—532no—
1584#525—534no—
1585C2×C22⋊Q8—531no—
1586C2×C22⋊Q8—534no—
1587C2×C22⋊Q8—532no—
1588C2×C22⋊Q8—534no—
1589C2×C22⋊Q8—531no—
1590C2×#121—532no—
1591C2×#121—532no—
1592#520—532no—
1593#520—532no—
1594#520—532no—
1595#520—534no—
1596#520—532no—
1597#520—532no—
1598#520C2×D5312yescomplemented
1599#518—532no—
1600#518—532no—
1601C4×#41—531no—
1602C4×#41—531no—
1603C4×#41—532no—
1604C4×#41—532no—
1605C2×C4×Q8—532no—
1606C2×C4×Q8—531no—
1607C2×C4×Q8C2×D5311yescharacteristic, complemented
1608C2×C4×D4—532no—
1609C2×C4×D4—532no—
1610C2×#117—532no—
1611C22×C42—531no—
1612C53#6283511yescharacteristic, complemented, Sylow
16132−1+4—21216no—
1614C2×#41—531no—
1615C2×#41—532no—
1616C2×#41—532no—
1617C2×#41—531no—
1618C2×#41—532no—
1619C2×#41—534no—
1620C2×#41—532no—
1621C2×#41—534no—
1622C2×#41—532no—
1623C2×#41—534no—
1624C2×#41—534no—
1625C2×#41—534no—
1626C2×#41—532no—
1627C2×#41—532no—
1628C2×#41—534no—
1629C2×#41—532no—
1630C2×#41—534no—
1631C2×#41—534no—
1632C2×#41—534no—
1633C2×#41—2128no—
1634C2×#41C22×D5312yes—
1635C2×#41C22×D5312yes—
1636C2×#41C22×D5314yes—
1637C22×Q8—534no—
1638C22×Q8—532no—
1639C22×Q8—534no—
1640C22×Q8—532no—
1641C22×Q8—531no—
1642C22×Q8—534no—
1643C22×Q8—534no—
1644C22×Q8C22×D5311yescharacteristic
1645C22×D4—532no—
1646C22×D4—532no—
1647C22×D4—534no—
1648C22×D4—532no—
1649C23×C4—531no—
1650C23×C4—531no—
1651C23×C4—534no—
1652C23×C4—531no—
1653C4⋊Q8—531no—
1654C4⋊Q8—531no—
1655C4⋊Q8—532no—
1656C4⋊Q8—532no—
1657C4⋊Q8—531no—
1658C4⋊Q8—531no—
1659C4⋊Q8—532no—
1660C4⋊Q8—534no—
1661C4⋊Q8—531no—
1662C4⋊Q8—534no—
1663C4⋊Q8—531no—
1664C4⋊Q8—532no—
1665C4⋊Q8—531no—
1666C4⋊Q8—532no—
1667C4⋊Q8—532no—
1668C4⋊Q8—532no—
1669C4⋊Q8—531no—
1670C4⋊Q8—531no—
1671C4⋊Q8—534no—
1672C4⋊Q8—534no—
1673C4⋊Q8—532no—
1674C4⋊Q8—532no—
1675C4⋊Q8—534no—
1676C4⋊Q8—531no—
1677C4⋊Q8—531no—
1678C4⋊Q8—532no—
1679C4⋊Q8—532no—
1680C4⋊Q8—534no—
1681C4⋊Q8—534no—
1682C4⋊Q8—531no—
1683C4⋊Q8—532no—
1684C4⋊Q8—532no—
1685C4⋊Q8C22×D5311yescharacteristic
1686C4⋊Q8C22×D5312yes—
1687C4⋊Q8C22×D5312yes—
1688C4⋊Q8C22×D5314yes—
1689#127—532no—
1690#127—532no—
1691#127—532no—
1692#127—531no—
1693#127—532no—
1694#127—532no—
1695#127—531no—
1696#127—532no—
1697#127C22×D5311yescharacteristic
1698#127C22×D5312yes—
1699#126—532no—
1700#126—534no—
1701#126—534no—
1702#126—534no—
1703#126—532no—
1704#126—534no—
1705#126—534no—
1706#126—534no—
1707#126—534no—
1708#126—534no—
1709#126—532no—
1710#126—534no—
1711#126—534no—
1712#126—534no—
1713#126C22×D5312yes—
1714#126C22×D5314yes—
1715#125—532no—
1716#125—532no—
1717#125—532no—
1718#125—532no—
1719#125—532no—
1720#125—532no—
1721#125—532no—
1722#125—532no—
1723#125—532no—
1724#125—532no—
1725#125—532no—
1726#125—532no—
1727#125—534no—
1728#125—534no—
1729#125—534no—
1730#125—534no—
1731#125—534no—
1732#125—531no—
1733#125—532no—
1734#125—534no—
1735#125C22×D5311yescharacteristic
1736#125C22×D5312yes—
1737#124—532no—
1738#124—532no—
1739#124—532no—
1740#124—534no—
1741#124—534no—
1742#124—532no—
1743#124—532no—
1744#124—532no—
1745#124—534no—
1746#124—534no—
1747#124—532no—
1748#124—532no—
1749#124—534no—
1750#124—534no—
1751#124—534no—
1752#124—534no—
1753#124—534no—
1754#124—534no—
1755#124—534no—
1756#124—534no—
1757#124—532no—
1758#124—531no—
1759#124—532no—
1760#124—532no—
1761#124—534no—
1762#124—534no—
1763#124C22×D5312yes—
1764#124C22×D5311yescharacteristic
1765#124C22×D5312yes—
1766#124C22×D5312yes—
1767#124C22×D5314yes—
1768#124C22×D5314yes—
1769#123—534no—
1770#123—534no—
1771#123—534no—
1772#123—534no—
1773#123—532no—
1774#123—534no—
1775#123—534no—
1776#123—534no—
1777#123—534no—
1778#123—534no—
1779#123—534no—
1780#123—532no—
1781#123—532no—
1782#123—534no—
1783#123—534no—
1784#123—534no—
1785#123—534no—
1786#123—534no—
1787#123—534no—
1788#123—534no—
1789#123—534no—
1790#123—532no—
1791#123—532no—
1792#123—534no—
1793#123—534no—
1794#123—534no—
1795#123—534no—
1796#123—534no—
1797#123—534no—
1798#123—534no—
1799#123—534no—
1800#123—534no—
1801#123—534no—
1802#123C22×D5312yes—
1803#123C22×D5314yes—
1804#123C22×D5314yes—
1805#123C22×D5314yes—
1806#123C22×D5314yes—
1807C22⋊Q8—531no—
1808C22⋊Q8—531no—
1809C22⋊Q8—532no—
1810C22⋊Q8—531no—
1811C22⋊Q8—531no—
1812C22⋊Q8—532no—
1813C22⋊Q8—534no—
1814C22⋊Q8—531no—
1815C22⋊Q8—532no—
1816C22⋊Q8—534no—
1817C22⋊Q8—534no—
1818C22⋊Q8—534no—
1819C22⋊Q8—534no—
1820C22⋊Q8—534no—
1821C22⋊Q8—534no—
1822C22⋊Q8—531no—
1823C22⋊Q8—532no—
1824C22⋊Q8—534no—
1825C22⋊Q8—534no—
1826C22⋊Q8—534no—
1827C22⋊Q8—534no—
1828C22⋊Q8—532no—
1829C22⋊Q8—532no—
1830C22⋊Q8—532no—
1831C22⋊Q8—532no—
1832C22⋊Q8—532no—
1833C22⋊Q8—531no—
1834C22⋊Q8—531no—
1835C22⋊Q8—532no—
1836C22⋊Q8—532no—
1837C22⋊Q8—532no—
1838C22⋊Q8—531no—
1839C22⋊Q8—531no—
1840C22⋊Q8—532no—
1841C22⋊Q8—532no—
1842C22⋊Q8—532no—
1843C22⋊Q8—534no—
1844C22⋊Q8—534no—
1845C22⋊Q8—534no—
1846C22⋊Q8—534no—
1847C22⋊Q8—534no—
1848C22⋊Q8—534no—
1849C22⋊Q8—534no—
1850C22⋊Q8—532no—
1851C22⋊Q8—531no—
1852C22⋊Q8—532no—
1853C22⋊Q8—534no—
1854C22⋊Q8—534no—
1855C22⋊Q8—532no—
1856C22⋊Q8—534no—
1857C22⋊Q8—534no—
1858C22⋊Q8—534no—
1859C22⋊Q8—534no—
1860C22⋊Q8—534no—
1861C22⋊Q8—534no—
1862C22⋊Q8—534no—
1863C22⋊Q8—534no—
1864C22⋊Q8—534no—
1865C22⋊Q8—534no—
1866C22⋊Q8—534no—
1867C22⋊Q8—532no—
1868C22⋊Q8—534no—
1869C22⋊Q8—534no—
1870C22⋊Q8—534no—
1871C22⋊Q8—534no—
1872C22⋊Q8—534no—
1873C22⋊Q8—534no—
1874C22⋊Q8—534no—
1875C22⋊Q8—534no—
1876C22⋊Q8—534no—
1877C22⋊Q8C22×D5314yes—
1878C22⋊Q8C22×D5311yescharacteristic
1879C22⋊Q8C22×D5312yes—
1880C22⋊Q8C22×D5314yes—
1881C22⋊Q8C22×D5314yes—
1882C22⋊Q8C22×D5314yes—
1883#121—534no—
1884#121—532no—
1885#121—532no—
1886#121—534no—
1887#121—532no—
1888#121—531no—
1889#121—534no—
1890#121—534no—
1891#121—534no—
1892#121—534no—
1893#121—534no—
1894#121—532no—
1895#121—534no—
1896#121—534no—
1897#121—534no—
1898#121—534no—
1899#121—534no—
1900#121—534no—
1901#121—534no—
1902#121—534no—
1903#121—532no—
1904#121—532no—
1905#121—531no—
1906#121—534no—
1907#121—532no—
1908#121—534no—
1909#121—534no—
1910#121—534no—
1911#121—534no—
1912#121—532no—
1913#121—532no—
1914#121—531no—
1915#121—532no—
1916#121—534no—
1917#121—534no—
1918#121—534no—
1919#121—534no—
1920#121—534no—
1921#121—532no—
1922#121—532no—
1923#121—532no—
1924#121—534no—
1925#121—534no—
1926#121—534no—
1927#121—534no—
1928#121—534no—
1929#121—534no—
1930#121—534no—
1931#121—534no—
1932#121—534no—
1933#121C22×D5312yes—
1934#121C22×D5312yes—
1935#121C22×D5311yescharacteristic
1936#121C22×D5312yes—
1937#121C22×D5314yes—
1938#121C22×D5314yes—
1939#120—532no—
1940#120—534no—
1941#120—534no—
1942#120—532no—
1943#120—534no—
1944#120—534no—
1945C4×Q8—531no—
1946C4×Q8—532no—
1947C4×Q8—532no—
1948C4×Q8—532no—
1949C4×Q8—532no—
1950C4×Q8—532no—
1951C4×Q8—531no—
1952C4×Q8—532no—
1953C4×Q8—534no—
1954C4×Q8—532no—
1955C4×Q8—531no—
1956C4×Q8—531no—
1957C4×Q8—532no—
1958C4×Q8—532no—
1959C4×Q8—532no—
1960C4×Q8—532no—
1961C4×Q8—532no—
1962C4×Q8—532no—
1963C4×Q8—532no—
1964C4×Q8—532no—
1965C4×Q8—532no—
1966C4×Q8—531no—
1967C4×Q8—531no—
1968C4×Q8—532no—
1969C4×Q8—532no—
1970C4×Q8—531no—
1971C4×Q8—532no—
1972C4×Q8—534no—
1973C4×Q8—532no—
1974C4×Q8C22×D5311yescharacteristic
1975C4×Q8C22×D5311yescharacteristic
1976C4×Q8C22×D5312yes—
1977C4×Q8C22×D5311yescharacteristic
1978C4×Q8C22×D5311yescharacteristic
1979C4×Q8C22×D5312yes—
1980C4×Q8C22×D5311yescharacteristic
1981C4×Q8C22×D5312yes—
1982C4×Q8C22×D5312yes—
1983C4×D4—532no—
1984C4×D4—532no—
1985C4×D4—532no—
1986C4×D4—531no—
1987C4×D4—532no—
1988C4×D4—532no—
1989C4×D4—534no—
1990C4×D4—532no—
1991C4×D4—532no—
1992C4×D4—534no—
1993C4×D4—534no—
1994C4×D4—532no—
1995C4×D4—532no—
1996C4×D4—532no—
1997C4×D4—534no—
1998C4×D4—534no—
1999C4×D4—534no—
2000C4×D4—534no—
2001C4×D4—534no—
2002C4×D4—534no—
2003C4×D4—532no—
2004C4×D4—532no—
2005C4×D4—532no—
2006C4×D4—532no—
2007C4×D4—532no—
2008C4×D4—531no—
2009C4×D4—532no—
2010C4×D4—532no—
2011C4×D4—534no—
2012C4×D4—534no—
2013C4×D4—532no—
2014C4×D4—532no—
2015C4×D4—534no—
2016C4×D4—534no—
2017C4×D4—532no—
2018C4×D4—532no—
2019C4×D4—532no—
2020C4×D4—532no—
2021C4×D4—532no—
2022C4×D4—532no—
2023C4×D4—532no—
2024C4×D4—534no—
2025C4×D4—534no—
2026C4×D4—534no—
2027C4×D4—534no—
2028C4×D4—534no—
2029C4×D4—534no—
2030C4×D4—534no—
2031C4×D4—534no—
2032C4×D4—532no—
2033C4×D4—532no—
2034C4×D4—532no—
2035C4×D4—531no—
2036C4×D4—532no—
2037C4×D4—532no—
2038C4×D4—534no—
2039C4×D4—532no—
2040C4×D4—532no—
2041C4×D4—534no—
2042C4×D4C22×D5312yes—
2043C4×D4C22×D5312yes—
2044C4×D4C22×D5312yes—
2045C4×D4C22×D5311yescharacteristic
2046C4×D4C22×D5312yes—
2047C4×D4C22×D5312yes—
2048C4×D4C22×D5314yes—
2049C4×D4C22×D5312yes—
2050C4×D4C22×D5314yes—
2051C4×D4C22×D5312yes—
2052C4×D4C22×D5314yes—
2053#117—531no—
2054#117—531no—
2055#117—532no—
2056#117—532no—
2057#117—534no—
2058#117—532no—
2059#117—532no—
2060#117—532no—
2061#117—534no—
2062#117—534no—
2063#117—534no—
2064#117—532no—
2065#117—532no—
2066#117—532no—
2067#117—532no—
2068#117—532no—
2069#117—532no—
2070#117—532no—
2071#117—532no—
2072#117—532no—
2073#117—532no—
2074#117—534no—
2075#117—534no—
2076#117—534no—
2077#117C22×D5312yes—
2078#117C22×D5314yes—
2079C2×C4⋊C4—532no—
2080C2×C4⋊C4—532no—
2081C2×C4⋊C4—532no—
2082C2×C4⋊C4—532no—
2083C2×C4⋊C4—532no—
2084C2×C4⋊C4—532no—
2085C2×C4⋊C4—531no—
2086C2×C4⋊C4—534no—
2087C2×C4⋊C4—534no—
2088C2×C4⋊C4—532no—
2089C2×C4⋊C4—534no—
2090C2×C4⋊C4—532no—
2091C2×C4⋊C4—532no—
2092C2×C4⋊C4—534no—
2093C2×C4⋊C4—534no—
2094C2×C4⋊C4—534no—
2095C2×C4⋊C4—532no—
2096C2×C4⋊C4—532no—
2097C2×C4⋊C4—534no—
2098C2×C4⋊C4C22×D5312yes—
2099C2×C4⋊C4C22×D5311yescharacteristic
2100C2×C4⋊C4C22×D5314yes—
2101C2×C4⋊C4C22×D5312yes—
2102C2×C22⋊C4—532no—
2103C2×C22⋊C4—532no—
2104C2×C22⋊C4—534no—
2105C2×C22⋊C4—534no—
2106C2×C22⋊C4—534no—
2107C2×C22⋊C4—534no—
2108C2×C22⋊C4—534no—
2109C2×C22⋊C4—534no—
2110C2×C42—532no—
2111C2×C42—531no—
2112C2×C42—532no—
2113C2×C42—531no—
2114C2×C42—531no—
2115C2×C42—531no—
2116C2×C42—531no—
2117C2×C42—532no—
2118C2×C42—531no—
2119C2×C42—531no—
2120C2×C42—531no—
2121C2×C42—531no—
2122C2×C42—531no—
2123C2×C42—531no—
2124C2×C42C22×D5312yes—
2125C2×C42C22×D5311yescharacteristic
2126C24—531no—
2127C24—534no—
2128#41—44no—
2129#41—48no—
2130#41—44no—
2131#41—1064no—
2132#41—10616no—
2133#41—1068no—
2134#41—1064no—
2135#41—2124no—
2136#41—2124no—
2137#41—2128no—
2138#41—2124no—
2139#41—2128no—
2140#41—2128no—
2141#41—2128no—
2142#41—2124no—
2143#41—2124no—
2144#41—2128no—
2145#41—2128no—
2146#41—2124no—
2147#41—2128no—
2148#41—2128no—
2149#41—2124no—
2150C2×Q8—42no—
2151C2×Q8—531no—
2152C2×Q8—531no—
2153C2×Q8—531no—
2154C2×Q8—532no—
2155C2×Q8—532no—
2156C2×Q8—532no—
2157C2×Q8—534no—
2158C2×Q8—532no—
2159C2×Q8—532no—
2160C2×Q8—532no—
2161C2×Q8—532no—
2162C2×Q8—534no—
2163C2×Q8—534no—
2164C2×Q8—534no—
2165C2×Q8—532no—
2166C2×Q8—1068no—
2167C2×Q8—2122no—
2168C2×Q8—2128no—
2169C2×Q8—2128no—
2170C2×Q8—2124no—
2171C2×Q8—2128no—
2172C2×Q8—2128no—
2173C2×Q8C23×D5311yescharacteristic
2174C2×Q8C23×D5311yescharacteristic
2175C2×Q8C23×D5311yescharacteristic
2176C2×Q8C23×D5312yes—
2177C2×Q8C23×D5314yes—
2178C2×Q8C23×D5312yes—
2179C2×D4—532no—
2180C2×D4—534no—
2181C2×D4—532no—
2182C2×D4—534no—
2183C2×D4—532no—
2184C2×D4—534no—
2185C2×D4—532no—
2186C2×D4—534no—
2187C2×D4—534no—
2188C2×D4—532no—
2189C2×D4—534no—
2190C2×D4—534no—
2191C2×D4—534no—
2192C2×D4—534no—
2193C2×D4—532no—
2194C2×D4—532no—
2195C2×D4—531no—
2196C2×D4—532no—
2197C2×D4—532no—
2198C2×D4—534no—
2199C2×D4—534no—
2200C2×D4—534no—
2201C2×D4—532no—
2202C2×D4—1068no—
2203C2×D4—2124no—
2204C2×D4—2124no—
2205C2×D4—2128no—
2206C2×D4C23×D5312yes—
2207C2×D4C23×D5311yescharacteristic
2208C2×D4C23×D5312yes—
2209C2×D4C23×D5312yes—
2210C2×D4C23×D5314yes—
2211C2×D4C23×D5314yes—
2212C2×D4C23×D5314yes—
2213C2×D4C23×D5312yes—
2214C22×C4—531no—
2215C22×C4—531no—
2216C22×C4—531no—
2217C22×C4—532no—
2218C22×C4—532no—
2219C22×C4—532no—
2220C22×C4—534no—
2221C22×C4—531no—
2222C22×C4—532no—
2223C22×C4—534no—
2224C22×C4—534no—
2225C22×C4—534no—
2226C22×C4—531no—
2227C22×C4—531no—
2228C22×C4—531no—
2229C22×C4—531no—
2230C22×C4—531no—
2231C22×C4—531no—
2232C22×C4—531no—
2233C22×C4—531no—
2234C22×C4—531no—
2235C22×C4—532no—
2236C22×C4—532no—
2237C22×C4—532no—
2238C22×C4—534no—
2239C22×C4—531no—
2240C22×C4—531no—
2241C22×C4—534no—
2242C22×C4—534no—
2243C22×C4—534no—
2244C22×C4—534no—
2245C22×C4—534no—
2246C22×C4—534no—
2247C22×C4—534no—
2248C22×C4—534no—
2249C22×C4—1064no—
2250C22×C4—1064no—
2251C22×C4—2122no—
2252C22×C4—2128no—
2253C22×C4C23×D5311yescharacteristic
2254C22×C4C23×D5311yescharacteristic
2255C22×C4C23×D5311yescharacteristic
2256C22×C4C23×D5312yes—
2257C22×C4C23×D5312yes—
2258C22×C4C23×D5312yes—
2259C22×C4C23×D5314yes—
2260C22×C4C23×D5314yes—
2261C22×C4C23×D5314yes—
2262C22×C4C23×D5314yes—
2263C4⋊C4—532no—
2264C4⋊C4—532no—
2265C4⋊C4—534no—
2266C4⋊C4—532no—
2267C4⋊C4—532no—
2268C4⋊C4—532no—
2269C4⋊C4—532no—
2270C4⋊C4—531no—
2271C4⋊C4—531no—
2272C4⋊C4—532no—
2273C4⋊C4—532no—
2274C4⋊C4—532no—
2275C4⋊C4—534no—
2276C4⋊C4—534no—
2277C4⋊C4—534no—
2278C4⋊C4—532no—
2279C4⋊C4—532no—
2280C4⋊C4—532no—
2281C4⋊C4—532no—
2282C4⋊C4—532no—
2283C4⋊C4—532no—
2284C4⋊C4—532no—
2285C4⋊C4—532no—
2286C4⋊C4—532no—
2287C4⋊C4—534no—
2288C4⋊C4—534no—
2289C4⋊C4—534no—
2290C4⋊C4—534no—
2291C4⋊C4—534no—
2292C4⋊C4—534no—
2293C4⋊C4—534no—
2294C4⋊C4—534no—
2295C4⋊C4—534no—
2296C4⋊C4—534no—
2297C4⋊C4—532no—
2298C4⋊C4—532no—
2299C4⋊C4—532no—
2300C4⋊C4—532no—
2301C4⋊C4—532no—
2302C4⋊C4—532no—
2303C4⋊C4—532no—
2304C4⋊C4—532no—
2305C4⋊C4—532no—
2306C4⋊C4—532no—
2307C4⋊C4—532no—
2308C4⋊C4—532no—
2309C4⋊C4—532no—
2310C4⋊C4—531no—
2311C4⋊C4—531no—
2312C4⋊C4—532no—
2313C4⋊C4—532no—
2314C4⋊C4—532no—
2315C4⋊C4—532no—
2316C4⋊C4—532no—
2317C4⋊C4—532no—
2318C4⋊C4—532no—
2319C4⋊C4—532no—
2320C4⋊C4C23×D5312yes—
2321C4⋊C4C23×D5311yescharacteristic
2322C4⋊C4C23×D5312yes—
2323C4⋊C4C23×D5312yes—
2324C4⋊C4C23×D5312yes—
2325C4⋊C4C23×D5314yes—
2326C4⋊C4C23×D5314yes—
2327C4⋊C4C23×D5311yescharacteristic
2328C4⋊C4C23×D5312yes—
2329C4⋊C4C23×D5314yes—
2330C4⋊C4C23×D5314yes—
2331C4⋊C4C23×D5312yes—
2332C4⋊C4C23×D5312yes—
2333C4⋊C4C23×D5312yes—
2334C4⋊C4C23×D5312yes—
2335C4⋊C4C23×D5311yescharacteristic
2336C4⋊C4C23×D5311yescharacteristic
2337C4⋊C4C23×D5312yes—
2338C4⋊C4C23×D5312yes—
2339C22⋊C4—534no—
2340C22⋊C4—534no—
2341C22⋊C4—534no—
2342C22⋊C4—534no—
2343C22⋊C4—532no—
2344C22⋊C4—534no—
2345C22⋊C4—534no—
2346C22⋊C4—532no—
2347C22⋊C4—534no—
2348C22⋊C4—532no—
2349C22⋊C4—532no—
2350C22⋊C4—532no—
2351C22⋊C4—532no—
2352C22⋊C4—532no—
2353C22⋊C4—532no—
2354C22⋊C4—532no—
2355C22⋊C4—534no—
2356C22⋊C4—532no—
2357C22⋊C4—532no—
2358C22⋊C4—532no—
2359C22⋊C4—532no—
2360C22⋊C4—534no—
2361C22⋊C4—534no—
2362C22⋊C4—534no—
2363C22⋊C4—534no—
2364C22⋊C4—534no—
2365C22⋊C4—534no—
2366C22⋊C4—534no—
2367C22⋊C4—532no—
2368C22⋊C4—532no—
2369C22⋊C4—534no—
2370C22⋊C4—534no—
2371C22⋊C4—534no—
2372C22⋊C4—534no—
2373C22⋊C4—532no—
2374C22⋊C4—532no—
2375C22⋊C4—532no—
2376C22⋊C4—532no—
2377C22⋊C4—534no—
2378C22⋊C4—534no—
2379C22⋊C4—532no—
2380C22⋊C4—532no—
2381C22⋊C4C23×D5314yes—
2382C22⋊C4C23×D5314yes—
2383C22⋊C4C23×D5314yes—
2384C22⋊C4C23×D5314yes—
2385C22⋊C4C23×D5312yes—
2386C22⋊C4C23×D5314yes—
2387C22⋊C4C23×D5312yes—
2388C22⋊C4C23×D5314yes—
2389C22⋊C4C23×D5312yes—
2390C22⋊C4C23×D5312yes—
2391C22⋊C4C23×D5312yes—
2392C22⋊C4C23×D5314yes—
2393C42—531no—
2394C42—531no—
2395C42—531no—
2396C42—531no—
2397C42—531no—
2398C42—531no—
2399C42—531no—
2400C42—531no—
2401C42—531no—
2402C42—531no—
2403C42—531no—
2404C42—531no—
2405C42—532no—
2406C42—532no—
2407C42—532no—
2408C42—532no—
2409C42—532no—
2410C42—532no—
2411C42—532no—
2412C42—532no—
2413C42—532no—
2414C42—534no—
2415C42—534no—
2416C42—534no—
2417C42C23×D5311yescharacteristic
2418C42C23×D5311yescharacteristic
2419C42C23×D5311yescharacteristic
2420C42C23×D5311yescharacteristic
2421C42C23×D5312yes—
2422C42C23×D5312yes—
2423C42C23×D5312yes—
2424C42C23×D5312yes—
2425C42C23×D5312yes—
2426C42C23×D5314yes—
2427C23—531no—
2428C23—531no—
2429C23—534no—
2430C23—532no—
2431C23—1068no—
2432C23—1062no—
2433C23—1062no—
2434C23—2124no—
2435C23—2124no—
2436C23—2121no—
2437C23C24×D5314yes—
2438C23C24×D5312yes—
2439C23C24×D5311yescharacteristic
2440Q8—22no—
2441Q8—22no—
2442Q8—22no—
2443Q8—42no—
2444Q8—44no—
2445Q8—42no—
2446Q8—1064no—
2447Q8—1064no—
2448Q8—1064no—
2449Q8—1064no—
2450Q8—1064no—
2451Q8—1068no—
2452Q8—1062no—
2453Q8—1062no—
2454Q8—1062no—
2455Q8—2122no—
2456Q8—2124no—
2457Q8—2124no—
2458Q8—2124no—
2459Q8—2122no—
2460Q8—2122no—
2461D4—28no—
2462D4—24no—
2463D4—24no—
2464D4—22no—
2465D4—24no—
2466D4—42no—
2467D4—44no—
2468D4—44no—
2469D4—1064no—
2470D4—1068no—
2471D4—1068no—
2472D4—1064no—
2473D4—1064no—
2474D4—1068no—
2475D4—1064no—
2476D4—1064no—
2477D4—1062no—
2478D4—1064no—
2479D4—2122no—
2480D4—2124no—
2481D4—2122no—
2482D4—2124no—
2483D4—2124no—
2484D4—2124no—
2485D4—2124no—
2486D4—2122no—
2487D4—2122no—
2488D4—2124no—
2489D4—2124no—
2490D4—2124no—
2491D4—2124no—
2492C2×C4—22no—
2493C2×C4—24no—
2494C2×C4—22no—
2495C2×C4—22no—
2496C2×C4—24no—
2497C2×C4—44no—
2498C2×C4—42no—
2499C2×C4—44no—
2500C2×C4—44no—
2501C2×C4—44no—
2502C2×C4—534no—
2503C2×C4—531no—
2504C2×C4—531no—
2505C2×C4—531no—
2506C2×C4—534no—
2507C2×C4—532no—
2508C2×C4—531no—
2509C2×C4—531no—
2510C2×C4—532no—
2511C2×C4—532no—
2512C2×C4—531no—
2513C2×C4—532no—
2514C2×C4—532no—
2515C2×C4—534no—
2516C2×C4—532no—
2517C2×C4—532no—
2518C2×C4—1062no—
2519C2×C4—1062no—
2520C2×C4—1062no—
2521C2×C4—1062no—
2522C2×C4—1062no—
2523C2×C4—1068no—
2524C2×C4—1064no—
2525C2×C4—1064no—
2526C2×C4—1062no—
2527C2×C4—1062no—
2528C2×C4—1068no—
2529C2×C4—1064no—
2530C2×C4—1064no—
2531C2×C4—1064no—
2532C2×C4—1062no—
2533C2×C4—1062no—
2534C2×C4—1062no—
2535C2×C4—1064no—
2536C2×C4—2121no—
2537C2×C4—2121no—
2538C2×C4—2124no—
2539C2×C4—2124no—
2540C2×C4—2124no—
2541C2×C4—2124no—
2542C2×C4—2124no—
2543C2×C4—2124no—
2544C2×C4—2124no—
2545C2×C4—2124no—
2546C2×C4—2121no—
2547C2×C4—2122no—
2548C2×C4—2124no—
2549C2×C4—2124no—
2550C2×C4—2124no—
2551C2×C4C24×D5311yescharacteristic
2552C2×C4C24×D5312yes—
2553C2×C4C24×D5311yescharacteristic
2554C2×C4C24×D5312yes—
2555C2×C4C24×D5311yescharacteristic
2556C2×C4C24×D5311yescharacteristic
2557C2×C4C24×D5312yes—
2558C2×C4C24×D5312yes—
2559C2×C4C24×D5314yes—
2560C2×C4C24×D5312yes—
2561C2×C4C24×D5312yes—
2562C2×C4C24×D5312yes—
2563C2×C4C24×D5311yescharacteristic
2564C2×C4C24×D5311yescharacteristic
2565C22—21no—
2566C22—21no—
2567C22—22no—
2568C22—24no—
2569C22—22no—
2570C22—24no—
2571C22—22no—
2572C22—24no—
2573C22—532no—
2574C22—1061no—
2575C22—1061no—
2576C22—1061no—
2577C22—1062no—
2578C22—1064no—
2579C22—1061no—
2580C22—1062no—
2581C22—1064no—
2582C22—1061no—
2583C22—1062no—
2584C22—1064no—
2585C22—4248no—
2586C22—2124no—
2587C22H(5,𝔽2)×D5312yes—
2588C22C25×D5311yescharacteristic
2589C4—21no—
2590C4—22no—
2591C4—21no—
2592C4—22no—
2593C4—24no—
2594C4—22no—
2595C4—21no—
2596C4—22no—
2597C4—22no—
2598C4—21no—
2599C4—22no—
2600C4—22no—
2601C4—532no—
2602C4—532no—
2603C4—532no—
2604C4—1064no—
2605C4—1062no—
2606C4—1062no—
2607C4—1062no—
2608C4—1061no—
2609C4—1062no—
2610C4—1062no—
2611C4—1061no—
2612C4—1061no—
2613C4—1062no—
2614C4—1062no—
2615C42−1+4×D5312yes—
2616C4#1681145912yes—
2617C2—22no—
2618C2—44no—
2619C2—42no—
2620C2—1062no—
2621C2—2124no—
2622C2—2121no—
2623C2—2122no—
2624C2C2×H(5,𝔽2)×D5311yescharacteristic
2625C2C2×2−1+4×D5311yescharacteristic
2626C2C2×#1681145911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3522C2
hypercenter#3522D53
hypocenterC53#62835
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3522

Complements

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

NH ≅ G/Ntype
1. #20289279C2semidirect
2. #20289240C2semidirect
3. #20289185C2semidirect
4. #20289178C2semidirect
5. #20289127C2semidirect
6. #20289121C2semidirect
7. #20289114C2semidirect
8. #20289108C2semidirect
9. #20289097C2semidirect
10. #20288938C2semidirect
11. #20288931C2semidirect
12. #20288800C2semidirect
13. #20288798C2semidirect
14. #20288792C2semidirect
15. #20288762C2semidirect
16. #20288754C2semidirect
17. #20288621C2semidirect
18. #20288620C2semidirect
19. #20288618C2semidirect
20. #20288588C2semidirect
21. #20288585C2semidirect
22. #20288571C2semidirect
23. #20288563C2semidirect
24. #20288533C2semidirect
25. #20288529C2semidirect
26. #20288514C2semidirect
27. #20288494C2semidirect
28. #20288481C2semidirect
29. #20288445C2semidirect
30. #20288438C2semidirect
31. #20288389C2semidirect
32. #20288009C2semidirect
33. C2×#16811177C2semidirect
34. #532×D53C2semidirect
35. C53×#3522C2semidirect
36. C2×#13133264C22semidirect
38. #16811376C22semidirect
39. #16811372C22semidirect
40. #16811370C22semidirect
41. #16811369C22semidirect
42. #16811369C22semidirect
43. #16811369C22semidirect
44. #16811368C22semidirect
45. #16811367C22semidirect
46. #16811359C22semidirect
47. #16811358C22semidirect
48. #16811358C22semidirect
49. #16811358C22semidirect
50. #16811356C22semidirect
51. #16811356C22semidirect
52. #16811355C22semidirect
53. #16811355C22semidirect
54. Q8×Dic106C22semidirect
55. Q8×Dic106C22semidirect
56. #16811353C22semidirect
57. #16811350C22semidirect
58. #16811349C22semidirect
59. #16811345C22semidirect
60. #16811345C22semidirect
61. #16811342C22semidirect
62. #16811342C22semidirect
63. #16811341C22semidirect
64. #16811340C22semidirect
65. #16811336C22semidirect
66. #16811335C22semidirect
67. #16811335C22semidirect
69. #16811334C22semidirect
71. #16811333C22semidirect
72. #16811333C22semidirect
73. #16811332C22semidirect
74. #16811332C22semidirect
76. #16811330C22semidirect
77. #16811329C22semidirect
78. #16811329C22semidirect
80. #16811328C22semidirect
81. #16811327C22semidirect
82. #16811327C22semidirect
83. #16811324C22semidirect
84. #16811322C22semidirect
85. #16811322C22semidirect
86. #16811322C22semidirect
87. #16811318C22semidirect
88. #16811316C22semidirect
89. #16811309C22semidirect
90. #16811306C22semidirect
95. #16811295C22semidirect
96. #16811294C22semidirect
97. #16811294C22semidirect
98. #16811294C22semidirect
99. #16811293C22semidirect
100. #16811293C22semidirect
101. #16811293C22semidirect
102. D4×Dic106C22semidirect
103. D4×Dic106C22semidirect
104. D4×Dic106C22semidirect
106. #16811288C22semidirect
107. #16811288C22semidirect
108. #16811288C22semidirect
110. #16811286C22semidirect
111. #16811284C22semidirect
112. #16811283C22semidirect
113. #16811282C22semidirect
114. #16811282C22semidirect
115. #16811282C22semidirect
116. #16811282C22semidirect
117. #16811281C22semidirect
118. #16811281C22semidirect
119. #16811279C22semidirect
120. #16811277C22semidirect
121. #16811275C22semidirect
122. #16811274C22semidirect
123. #16811274C22semidirect
124. #16811274C22semidirect
125. #16811274C22semidirect
126. #16811273C22semidirect
127. #16811273C22semidirect
128. #16811272C22semidirect
129. #16811272C22semidirect
130. #16811272C22semidirect
131. #16811271C22semidirect
132. #16811271C22semidirect
133. #16811271C22semidirect
134. #16811271C22semidirect
146. #16811252C22semidirect
148. #16811250C22semidirect
151. #16811247C22semidirect
152. #16811247C22semidirect
153. #16811245C22semidirect
154. #16811245C22semidirect
155. #16811245C22semidirect
156. #16811245C22semidirect
157. #16811244C22semidirect
158. #16811243C22semidirect
159. #16811242C22semidirect
160. #16811242C22semidirect
161. #16811239C22semidirect
162. #16811238C22semidirect
163. #16811238C22semidirect
164. #16811238C22semidirect
165. #16811237C22semidirect
166. #16811237C22semidirect
167. #16811229C22semidirect
168. #16811227C22semidirect
169. #16811225C22semidirect
170. #16811224C22semidirect
171. #16811224C22semidirect
172. #16811223C22semidirect
173. #16811220C22semidirect
174. #16811219C22semidirect
175. #16811217C22semidirect
176. #16811216C22semidirect
177. #16811215C22semidirect
178. #16811215C22semidirect
181. #16811204C22semidirect
182. #16811203C22semidirect
183. #16811203C22semidirect
184. #16811202C22semidirect
185. #16811201C22semidirect
186. #16811201C22semidirect
187. #16811200C22semidirect
188. #16811200C22semidirect
189. #16811200C22semidirect
190. #16811198C22semidirect
191. #16811196C22semidirect
192. #16811195C22semidirect
193. #16811195C22semidirect
194. #16811195C22semidirect
204. #16811177C22semidirect
205. #16811177C22semidirect
206. #16811177C22semidirect
207. #16811177C22semidirect
208. #16811177C22semidirect
209. #16811177C22semidirect
210. #16811177C22semidirect
211. #16811177C22semidirect
212. #16811175C22semidirect
213. #16811175C22semidirect
216. #16811173C22semidirect
219. #16811172C22semidirect
223. #16811170C22semidirect
224. #16811170C22semidirect
226. #16811169C22semidirect
229. #16811168C22semidirect
230. #16811168C22semidirect
231. #16811168C22semidirect
232. #16811168C22semidirect
233. C2×#13133216C22semidirect
234. C2×#13133216C22semidirect
235. C2×#13133215C22semidirect
237. C4⋊Q8×D53C22semidirect
239. #16811159C22semidirect
240. #16811158C22semidirect
241. #16811157C22semidirect
242. #16811157C22semidirect
244. #16811156C22semidirect
245. #16811154C22semidirect
246. #16811152C22semidirect
248. #16811150C22semidirect
249. C2×#13133207C22semidirect
265. #16811105C22semidirect
266. #16811103C22semidirect
268. #16811102C22semidirect
269. #16811102C22semidirect
273. #16811091C22semidirect
275. C4×#11719947C22semidirect
276. C2×C4×Dic106C22semidirect
277. C2×C4×Dic106C22semidirect
282. C53×#559C22semidirect
283. C53×#559C22semidirect
284. Q82×C53C22semidirect
285. C53×#554C22semidirect
286. C53×#554C22semidirect
287. C53×#550C22semidirect
288. C53×#548C22semidirect
289. C53×#547C22semidirect
290. C53×#547C22semidirect
291. C53×#542C22semidirect
292. C53×#542C22semidirect
294. C53×#532C22semidirect
295. C53×#529C22semidirect
296. C53×#529C22semidirect
297. C53×#520C22semidirect
298. C2×C4×Q8×C53C22semidirect
1235. C4×D532−1+4semidirect
1318. #3522D53semidirect
1367. #559C2×D53semidirect
1368. #559C2×D53semidirect
1372. Q82C2×D53semidirect
1399. #554C2×D53semidirect
1400. #554C2×D53semidirect
1420. #550C2×D53semidirect
1439. #548C2×D53semidirect
1455. #547C2×D53semidirect
1456. #547C2×D53semidirect
1489. #542C2×D53semidirect
1490. #542C2×D53semidirect
1558. #532C2×D53semidirect
1575. #529C2×D53semidirect
1576. #529C2×D53semidirect
1598. #520C2×D53semidirect
1607. C2×C4×Q8C2×D53semidirect
1612. C53#62835semidirect

Maximal subgroups

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

subgroupindex
#202892792
#202892402
#202891852
#202891782
#202891272
#202891212
#202891142
#202891082
#202890972
#202889382
#202889312
#202888002
#202887982
#202887922
#202887622
#202887542
#202886212
#202886202
#202886182
#202885882
#202885852
#202885712
#202885632
#202885332
#202885292
#202885142
#202884942
#202884812
#202884452
#202884382
#202883892
#202880092
C2×#168111772
#532×D532
C53×#35222
#6283553