Finite Group Databasebeta

← #28292864

Subgroups — #28292864

Order 13568.

6626 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#20289398C214yesmaximal, complemented
2#20289378C214yesmaximal, complemented
3#20289367C212yesmaximal, complemented
4#20289310C212yesmaximal, complemented
5#20289199C211yesmaximal, characteristic, complemented
6#20289189C211yesmaximal, characteristic, complemented
7#20289100C211yesmaximal, characteristic, complemented
8#20289090C211yesmaximal, characteristic, complemented
9#20289025C212yesmaximal, complemented
10#20289013C212yesmaximal, complemented
11#20288881C214yesmaximal, complemented
12#20288827C212yesmaximal, complemented
13#20288826C212yesmaximal, complemented
14#20288800C211yesmaximal, characteristic, complemented
15#20288789C212yesmaximal, complemented
16#20288782C212yesmaximal, complemented
17#20288770C214yesmaximal, complemented
18#20288759C211yesmaximal, characteristic, complemented
19#20288749C211yesmaximal, characteristic, complemented
20#20288729C211yesmaximal, characteristic, complemented
21#20288722C211yesmaximal, characteristic, complemented
22#20288692C211yesmaximal, characteristic, complemented
23#20288690C212yesmaximal, complemented
24#20288677C211yesmaximal, characteristic, complemented
25#20288677C212yesmaximal, complemented
26#20288638C212yesmaximal, complemented
27#20288612C212yesmaximal, complemented
28#20288569C212yesmaximal, complemented
29#20288550C212yesmaximal, complemented
30#20288462C212yesmaximal, complemented
31#20288438C212yesmaximal, complemented
32#20288012C211yesmaximal, characteristic, complemented
33#20288009C211yesmaximal, characteristic, complemented
34C2×#16811160C211yesmaximal, characteristic, complemented
35C53×#3523C211yesmaximal, characteristic, complemented
36#16811377C2214yescomplemented
37#16811372C2214yescomplemented
38#16811371C2214yescomplemented
39#16811371C2214yescomplemented
40#16811369C2214yescomplemented
41#16811369C2214yescomplemented
42#16811364C2214yescomplemented
43#16811364C2214yescomplemented
44#16811358C2212yescomplemented
45#16811358C2211yescharacteristic, complemented
46#16811358C2214yescomplemented
47#16811358C2214yescomplemented
48#16811358C2212yescomplemented
49#16811358C2214yescomplemented
50Q8×Dic106C2211yescharacteristic, complemented
51#16811349C2212yescomplemented
52#16811347C2212yescomplemented
53#16811347C2211yescharacteristic, complemented
54#16811346C2212yescomplemented
55#16811346C2212yescomplemented
56#16811345C2214yescomplemented
57#16811345C2214yescomplemented
58#16811344C2212yescomplemented
59#16811340C2214yescomplemented
60#16811339C2212yescomplemented
61#16811339C2212yescomplemented
62#16811339C2214yescomplemented
63#16811338C2211yescharacteristic, complemented
64#16811336C2212yescomplemented
65#16811336C2214yescomplemented
66#16811333C2212yescomplemented
67#16811333C2211yescharacteristic, complemented
68#16811333C2211yescharacteristic, complemented
69#16811331C2212yescomplemented
70#16811329C2212yescomplemented
71#16811327C2214yescomplemented
72#16811326C2212yes—
73#16811326C2214yescomplemented
74#16811326C2214yescomplemented
75#16811326C2212yescomplemented
76#16811326C2214yescomplemented
77#16811326C2212yescomplemented
78#16811326C2214yescomplemented
79#16811324C2214yescomplemented
80#16811324C2214yescomplemented
81#16811324C2214yescomplemented
82#16811324C2214yescomplemented
83#16811323C2212yescomplemented
84#16811322C2214yescomplemented
85#16811319C2212yes—
86#16811317C2214yescomplemented
87#16811317C2212yescomplemented
88#16811314C2212yescomplemented
89#16811314C2212yescomplemented
90#16811314C2214yescomplemented
91#16811314C2212yescomplemented
92#16811311C2212yescomplemented
93#16811311C2214yescomplemented
94#16811309C2214yescomplemented
95#16811307C2212yescomplemented
96#16811306C2214yescomplemented
97#16811305C2214yescomplemented
98#16811305C2214yescomplemented
99#16811305C2214yescomplemented
100#16811305C2214yescomplemented
101#16811300C2214yescomplemented
102#16811300C2214yescomplemented
103#16811300C2214yescomplemented
104#16811298C2214yescomplemented
105#16811298C2214yescomplemented
106#16811297C2214yescomplemented
107#16811297C2214yescomplemented
108#16811297C2214yescomplemented
109#16811297C2214yescomplemented
110#16811297C2214yescomplemented
111#16811297C2214yescomplemented
112#16811295C2212yescomplemented
113#16811295C2212yescomplemented
114#16811295C2211yescharacteristic, complemented
115#16811295C2212yescomplemented
116#16811295C2211yescharacteristic, complemented
117#16811288C2211yescharacteristic, complemented
118#16811285C2212yescomplemented
119#16811285C2212yescomplemented
120#16811284C2212yescomplemented
121#16811284C2212yescomplemented
122#16811284C2212yescomplemented
123#16811281C2212yescomplemented
124#16811276C2212yescomplemented
125#16811276C2212yescomplemented
126#16811276C2212yescomplemented
127#16811276C2211yescharacteristic, complemented
128#16811276C2211yescharacteristic, complemented
129#16811274C2212yescomplemented
130#16811274C2214yescomplemented
131#16811271C2214yescomplemented
132#16811268C2212yescomplemented
133#16811268C2214yescomplemented
134#16811266C2212yescomplemented
135#16811266C2212yescomplemented
136#16811265C2214yes—
137#16811265C2214yescomplemented
138#16811264C2212yes—
139#16811264C2212yes—
140#16811264C2212yescomplemented
141D4×D212C2212yes—
142D4×D212C2211yescharacteristic, complemented
143#16811253C2212yescomplemented
144#16811250C2212yescomplemented
145#16811247C2214yescomplemented
146#16811247C2212yescomplemented
147#16811247C2214yescomplemented
148#16811245C2212yes—
149#16811245C2212yescomplemented
150#16811245C2212yescomplemented
151#16811245C2214yescomplemented
152#16811245C2214yescomplemented
153#16811245C2212yescomplemented
154#16811245C2212yescomplemented
155#16811245C2212yescomplemented
156#16811243C2214yescomplemented
157#16811242C2212yescomplemented
158#16811239C2214yescomplemented
159#16811234C2212yescomplemented
160#16811234C2212yescomplemented
161#16811232C2214yescomplemented
162#16811232C2214yescomplemented
163#16811231C2212yescomplemented
164#16811229C2214yescomplemented
165#16811229C2212yescomplemented
166#16811229C2212yescomplemented
167#16811229C2214yescomplemented
168#16811228C2214yescomplemented
169#16811228C2212yescomplemented
170#16811224C2212yescomplemented
171#16811221C2214yescomplemented
172#16811221C2214yescomplemented
173#16811221C2214yescomplemented
174#16811221C2214yescomplemented
175#16811219C2214yescomplemented
176#16811217C2214yescomplemented
177#16811214C2214yescomplemented
178#16811213C2214yescomplemented
179#16811213C2214yescomplemented
180#16811213C2214yescomplemented
181#16811213C2214yescomplemented
182#16811212C2214yescomplemented
183#16811212C2214yescomplemented
184#16811212C2214yescomplemented
185#16811212C2214yescomplemented
186#16811206C2214yescomplemented
187#16811203C2212yescomplemented
188#16811203C2212yescomplemented
189#16811198C2212yescomplemented
190#16811197C2212yescomplemented
191#16811192C2212yes—
192#16811192C2214yescomplemented
193#16811191C2212yescomplemented
194#16811184C2214yescomplemented
195#16811179C2211yescharacteristic, complemented
196#16811178C2211yescharacteristic, complemented
197#16811178C2211yescharacteristic, complemented
198#16811177C2211yescharacteristic, complemented
199#16811176C2212yescomplemented
200#16811175C2211yescharacteristic, complemented
201#16811174C2211yescharacteristic, complemented
202#16811174C2211yescharacteristic, complemented
203#16811174C2212yescomplemented
204#16811173C2211yescharacteristic
205#16811173C2212yescomplemented
206#16811172C2211yescharacteristic, complemented
207#16811170C2211yescharacteristic, complemented
208#16811168C2211yescharacteristic
209#16811160C2211yescharacteristic
210#16811160C2211yescharacteristic
211#16811160C2211yescharacteristic
212#16811160C2211yescharacteristic
213#16811160C2214yescomplemented
214#16811160C2212yescomplemented
215#16811160C2212yescomplemented
216#16811160C2212yescomplemented
217#16811160C2212yescomplemented
218#16811160C2211yescharacteristic, complemented
219#16811160C2211yescharacteristic, complemented
220#16811160C2212yescomplemented
221#16811160C2212yescomplemented
222#16811160C2212yescomplemented
223#16811160C2212yescomplemented
224#16811160C2211yescharacteristic, complemented
225#16811160C2211yescharacteristic, complemented
226#16811159C2212yescomplemented
227#16811159C2212yescomplemented
228#16811159C2212yescomplemented
229#16811159C2212yescomplemented
230#16811158C2214yescomplemented
231#16811158C2211yescharacteristic, complemented
232#16811158C2212yescomplemented
233#16811158C2212yescomplemented
234#16811157C2211yescharacteristic, complemented
235#16811157C2212yescomplemented
236#16811156C2212yescomplemented
237#16811156C2212yescomplemented
238#16811152C2211yescharacteristic, complemented
239#16811151C2214yescomplemented
240#16811151C2212yescomplemented
241#16811150C2212yescomplemented
242C2×#13133212C2212yescomplemented
243#126×D53C2214yescomplemented
244C2×#13133208C2211yescharacteristic, complemented
245#125×D53C2212yescomplemented
246C2×#13133206C2211yescharacteristic
247C2×#13133206C2212yescomplemented
248#16811136C2212yes—
249#16811136C2212yescomplemented
250#16811136C2211yescharacteristic, complemented
251#16811136C2212yescomplemented
252#16811136C2212yescomplemented
253#16811135C2212yescomplemented
254#16811133C2211yescharacteristic
255#16811132C2212yescomplemented
256#16811131C2212yescomplemented
257C2×#13133202C2212yescomplemented
258C2×#13133193C2211yescharacteristic, complemented
259C22⋊Q8×D53C2212yescomplemented
260C2×#13133192C2211yescharacteristic
261#121×D53C2212yes—
262#16811105C2212yescomplemented
263#16811105C2212yescomplemented
264#16811105C2212yescomplemented
265#16811105C2212yescomplemented
266#16811103C2214yescomplemented
267#16811099C2212yescomplemented
268#16811097C2212yescomplemented
269#16811095C2214yescomplemented
270#16811095C2212yescomplemented
271C4×#11719949C2211yescharacteristic, complemented
272C4×#11719949C2212yescomplemented
273C4×#11719949C2212yescomplemented
274#16811091C2212yescomplemented
275#16811091C2212yescomplemented
276C4×#11719947C2212yescomplemented
277C4×#11719947C2211yescharacteristic, complemented
278C2×C4×D212C2211yescharacteristic
279C2×C4×D212C2212yescomplemented
280C2×#13133174C2212yescomplemented
281C2×C42×D53C2211yescharacteristic, complemented
282C53×#557C2212yescomplemented
283C53×#557C2211yescharacteristic, complemented
284C53×#557C2211yescharacteristic, complemented
285C53×#556C2212yescomplemented
286C53×#556C2211yescharacteristic, complemented
287C53×#552C2212yescomplemented
288C53×#552C2214yescomplemented
289D4×Q8×C53C2211yescharacteristic, complemented
290D4×Q8×C53C2212yescomplemented
291C53×#541C2212yescomplemented
292C53×#541C2214yescomplemented
293C53×#533C2211yescharacteristic, complemented
294C53×#533C2212yescomplemented
295C53×#529C2211yescharacteristic
296C53×#529C2212yes—
297C53×#519C2212yescomplemented
298C2×C4×Q8×C53C2211yescharacteristic, complemented
299C2×#11719949C2312yes—
300C2×#11719949C2312yes—
301C2×#11719949C2312yes—
302C2×#11719949C2312yes—
303C2×#11719949C2312yes—
304C2×#11719949C2312yes—
305C2×#11719949C2311yescharacteristic
306C2×#11719945C2312yes—
307C2×#11719945C2314yes—
308C2×#11719945C2312yes—
309C2×#11719947C2312yes—
310C2×#11719947C2311yescharacteristic
311C2×Q8×D53C2312yes—
312C22×D212C2311yescharacteristic
313C22×D212C2312yes—
314C22×D212C2312yes—
315C2×D4×D53C2314yes—
316C2×D4×D53C2312yes—
317C22×C4×D53C2311yescharacteristic
318C22×C4×D53C2311yescharacteristic
319C22×C4×D53C2311yescharacteristic
320C22×C4×D53C2312yes—
321#13133217C2311yescharacteristic
322#13133217C2312yes—
323#13133216C2314yes—
324#13133216C2312yes—
325#13133216C2314yes—
326#13133216C2312yes—
327#13133216C2311yescharacteristic
328#13133216C2311yescharacteristic
329#13133215C2314yes—
330#13133215C2311yescharacteristic
331#13133214C2312yes—
332#13133214C2314yes—
333#13133214C2311yescharacteristic
334#13133214C2312yes—
335#13133214C2314yes—
336#13133213C2311yescharacteristic
337#13133212C2312yes—
338#13133212C2314yes—
339#13133212C2314yes—
340#13133212C2314yes—
341#13133212C2314yes—
342#13133212C2314yes—
343#13133212C2312yes—
344#13133212C2314yes—
345#13133212C2314yes—
346#13133212C2312yes—
347#13133212C2314yes—
348#13133212C2314yes—
349#13133212C2314yes—
350#13133212C2314yes—
351#13133212C2314yes—
352#13133212C2312yes—
353#13133212C2314yes—
354#13133212C2312yes—
355#13133212C2312yes—
356#13133212C2312yes—
357#13133212C2312yes—
358#13133212C2312yes—
359#13133212C2314yes—
360#13133211C2314yes—
361#13133211C2314yes—
362#13133211C2314yes—
363#13133211C2314yes—
364#13133211C2314yes—
365#13133211C2314yes—
366#13133211C2312yes—
367#13133210C2314yes—
368#13133210C2314yes—
369#13133210C2312yes—
370#13133209C2314yes—
371#13133209C2311yescharacteristic
372#13133209C2312yes—
373#13133209C2312yes—
374#13133208C2311yescharacteristic
375#13133208C2312yes—
376#13133208C2314yes—
377#13133208C2311yescharacteristic
378#13133208C2311yescharacteristic
379#13133208C2312yes—
380#13133208C2311yescharacteristic
381#13133208C2312yes—
382#13133208C2312yes—
383#13133207C2312yes—
384#13133207C2314yes—
385#13133207C2314yes—
386#13133207C2314yes—
387#13133207C2314yes—
388#13133207C2314yes—
389#13133207C2314yes—
390#13133207C2314yes—
391#13133207C2312yes—
392#13133206C2312yes—
393#13133206C2311yescharacteristic
394#13133206C2311yescharacteristic
395#13133206C2312yes—
396#13133206C2314yes—
397#13133206C2314yes—
398#13133206C2314yes—
399#13133206C2312yes—
400#13133206C2314yes—
401#13133206C2314yes—
402#13133206C2314yes—
403#13133206C2311yescharacteristic
404#13133206C2311yescharacteristic
405#13133206C2312yes—
406#13133206C2312yes—
407#13133206C2312yes—
408#13133205C2312yes—
409#13133205C2314yes—
410#13133205C2311yescharacteristic
411#13133205C2314yes—
412#13133205C2314yes—
413#13133205C2314yes—
414#13133205C2314yes—
415#13133205C2314yes—
416#13133205C2314yes—
417#13133205C2312yes—
418#13133203C2314yes—
419#13133203C2314yes—
420#13133203C2314yes—
421#13133203C2312yes—
422#13133203C2312yes—
423#13133202C2314yes—
424#13133202C2314yes—
425#13133202C2314yes—
426#13133202C2314yes—
427#13133202C2314yes—
428#13133202C2314yes—
429#13133202C2314yes—
430#13133202C2314yes—
431#13133202C2314yes—
432#13133202C2314yes—
433#13133202C2314yes—
434#13133202C2314yes—
435#13133202C2314yes—
436#13133202C2314yes—
437#13133202C2314yes—
438#13133202C2314yes—
439#13133202C2314yes—
440#13133202C2312yes—
441#13133202C2314yes—
442#13133202C2314yes—
443#13133202C2314yes—
444#13133202C2314yes—
445#13133202C2314yes—
446#13133202C2314yes—
447#13133202C2314yes—
448#13133202C2312yes—
449#13133202C2312yes—
450#13133202C2312yes—
451#13133202C2314yes—
452#13133202C2312yes—
453#13133202C2312yes—
454#13133202C2312yes—
455#13133202C2312yes—
456#13133202C2312yes—
457#13133202C2312yes—
458#13133201C2314yes—
459#13133201C2314yes—
460#13133201C2314yes—
461#13133200C2312yes—
462#13133200C2314yes—
463#13133200C2314yes—
464#13133200C2314yes—
465#13133199C2314yes—
466#13133199C2314yes—
467#13133199C2314yes—
468#13133199C2312yes—
469#13133199C2312yes—
470#13133197C2312yes—
471#13133197C2314yes—
472#13133197C2311yescharacteristic
473#13133197C2314yes—
474#13133197C2314yes—
475#13133197C2312yes—
476#13133197C2312yes—
477#13133196C2311yescharacteristic
478#13133195C2314yes—
479#13133195C2314yes—
480#13133195C2314yes—
481#13133195C2314yes—
482#13133195C2314yes—
483#13133195C2314yes—
484#13133195C2314yes—
485#13133195C2314yes—
486#13133195C2314yes—
487#13133195C2314yes—
488#13133195C2314yes—
489#13133195C2314yes—
490#13133195C2312yes—
491#13133195C2312yes—
492#13133195C2312yes—
493#13133194C2314yes—
494#13133194C2314yes—
495#13133194C2312yes—
496#13133194C2314yes—
497#13133193C2312yes—
498#13133193C2312yes—
499#13133193C2312yes—
500#13133193C2311yescharacteristic
501#13133193C2311yescharacteristic
502#13133193C2312yes—
503#13133193C2312yes—
504#13133193C2311yescharacteristic
505#13133193C2312yes—
506#13133193C2314yes—
507#13133193C2314yes—
508#13133193C2314yes—
509#13133193C2312yes—
510#13133193C2311yescharacteristic
511#13133193C2311yescharacteristic
512#13133193C2312yes—
513#13133193C2312yes—
514#13133192C2311yescharacteristic
515#13133192C2312yes—
516#13133192C2314yes—
517#13133192C2314yes—
518#13133192C2314yes—
519#13133192C2314yes—
520#13133192C2314yes—
521#13133192C2312yes—
522#13133192C2314yes—
523#13133192C2312yes—
524#13133192C2314yes—
525#13133192C2312yes—
526#13133192C2314yes—
527#13133192C2314yes—
528#13133192C2314yes—
529#13133192C2312yes—
530#13133192C2314yes—
531#13133192C2311yescharacteristic
532#13133192C2311yescharacteristic
533#13133192C2314yes—
534#13133192C2314yes—
535#13133192C2314yes—
536#13133192C2312yes—
537#13133192C2314yes—
538#13133192C2314yes—
539#13133192C2312yes—
540#13133192C2312yes—
541#13133192C2311yescharacteristic
542#13133192C2311yescharacteristic
543#13133192C2312yes—
544#13133192C2312yes—
545#13133192C2312yes—
546#13133191C2314yes—
547#13133191C2314yes—
548#13133191C2314yes—
549#13133191C2312yes—
550#13133191C2312yes—
551#13133191C2312yes—
552#13133191C2312yes—
553#13133191C2311yescharacteristic
554#13133190C2314yes—
555#13133190C2314yes—
556#13133190C2314yes—
557#13133190C2314yes—
558#13133190C2314yes—
559#13133190C2314yes—
560#13133190C2314yes—
561#13133190C2314yes—
562#13133190C2312yes—
563#13133190C2312yes—
564#13133190C2312yes—
565#13133189C2314yes—
566#13133189C2312yes—
567#13133188C2311yescharacteristic
568#13133188C2312yes—
569#13133187C2314yes—
570#13133187C2314yes—
571#13133187C2314yes—
572#13133187C2314yes—
573#13133187C2314yes—
574#13133187C2314yes—
575#13133187C2314yes—
576#13133187C2314yes—
577#13133187C2312yes—
578#13133187C2314yes—
579#13133185C2312yes—
580Q8×Dic53C2312yes—
581Q8×Dic53C2312yes—
582Q8×Dic53C2312yes—
583Q8×Dic53C2312yes—
584Q8×Dic53C2311yescharacteristic
585C4×Dic106C2312yes—
586C4×Dic106C2311yescharacteristic
587C4×Dic106C2314yes—
588C4×Dic106C2314yes—
589C4×Dic106C2312yes—
590C4×Dic106C2314yes—
591#13133182C2312yes—
592#13133182C2312yes—
593#13133182C2312yes—
594#13133182C2314yes—
595#13133182C2311yescharacteristic
596#13133182C2312yes—
597#13133182C2312yes—
598C4×D212C2312yes—
599C4×D212C2312yes—
600C4×D212C2312yes—
601C4×D212C2312yes—
602C4×D212C2312yes—
603C4×D212C2314yes—
604C4×D212C2311yescharacteristic
605C4×D212C2312yes—
606C4×D212C2311yescharacteristic
607C4×D212C2312yes—
608C4×D212C2312yes—
609C4×D212C2312yes—
610C4×D212C2312yes—
611C4×D212C2311yescharacteristic
612C4×D212C2312yes—
613C4×D212C2314yes—
614C4×D212C2314yes—
615C4×D212C2314yes—
616C4×D212C2314yes—
617C4×D212C2314yes—
618C4×D212C2312yes—
619C4×D212C2314yes—
620C4×D212C2312yes—
621C4×D212C2314yes—
622C4×D212C2312yes—
623C4×D212C2312yes—
624C4×D212C2312yes—
625C4×D212C2311yescharacteristic
626C4×D212C2311yescharacteristic
627C4×D212C2312yes—
628C4×D212C2312yes—
629C4×D212C2314yes—
630D4×Dic53C2312yes—
631D4×Dic53C2311yescharacteristic
632#13133179C2312yes—
633#13133179C2312yes—
634#13133179C2312yes—
635#13133179C2314yes—
636#13133179C2314yes—
637#13133179C2314yes—
638#13133179C2314yes—
639#13133179C2314yes—
640#13133179C2312yes—
641#13133179C2314yes—
642#13133179C2314yes—
643#13133179C2314yes—
644#13133179C2312yes—
645#13133179C2312yes—
646#13133179C2312yes—
647#13133179C2312yes—
648#13133179C2311yescharacteristic
649#13133179C2312yes—
650#13133179C2314yes—
651C4×C22⋊D53C2312yes—
652C4×C22⋊D53C2312yes—
653C4×C22⋊D53C2312yes—
654C4×C22⋊D53C2314yes—
655C4×C22⋊D53C2314yes—
656C4×C22⋊D53C2314yes—
657#13133177C2314yes—
658#13133177C2314yes—
659#13133177C2314yes—
660#13133177C2314yes—
661#13133177C2314yes—
662#13133177C2312yes—
663#13133177C2312yes—
664#13133177C2312yes—
665#13133177C2312yes—
666#13133177C2312yes—
667#13133177C2312yes—
668#13133177C2312yes—
669#13133177C2314yes—
670#13133176C2312yes—
671#13133175C2314yes—
672#13133175C2314yes—
673#13133175C2314yes—
674#13133175C2314yes—
675#13133175C2314yes—
676#13133175C2312yes—
677#13133175C2314yes—
678#13133175C2312yes—
679#13133175C2312yes—
680#13133175C2311yescharacteristic
681#13133175C2312yes—
682#13133175C2312yes—
683#13133175C2312yes—
684#13133175C2311yescharacteristic
685#13133174C2312yes—
686#13133174C2314yes—
687#13133174C2314yes—
688#13133174C2314yes—
689#13133174C2314yes—
690#13133174C2314yes—
691#13133174C2312yes—
692#13133174C2314yes—
693#13133174C2312yes—
694#13133174C2314yes—
695#13133174C2312yes—
696#13133174C2312yes—
697#13133174C2312yes—
698#13133174C2312yes—
699#13133174C2312yes—
700#13133174C2312yes—
701#13133174C2312yes—
702#13133173C2312yes—
703#13133173C2312yes—
704#13133173C2312yes—
705C2×C4⋊Dic53C2311yescharacteristic
706C2×C4⋊Dic53C2312yes—
707C2×#11719919C2312yes—
708C2×#11719919C2312yes—
709C4⋊C4×D53C2314yes—
710C4⋊C4×D53C2314yes—
711C4⋊C4×D53C2312yes—
712C4⋊C4×D53C2314yes—
713C4⋊C4×D53C2314yes—
714C4⋊C4×D53C2314yes—
715C4⋊C4×D53C2312yes—
716C4⋊C4×D53C2312yes—
717C4⋊C4×D53C2314yes—
718C4⋊C4×D53C2312yes—
719C2×#11719921C2312yes—
720C2×#11719921C2312yes—
721C2×#11719921C2312yes—
722C2×#11719921C2314yes—
723C2×#11719921C2314yes—
724C2×#11719921C2312yes—
725C2×#11719921C2312yes—
726C22⋊C4×D53C2314yes—
727C22⋊C4×D53C2314yes—
728C22⋊C4×D53C2314yes—
729C22⋊C4×D53C2314yes—
730C22⋊C4×D53C2314yes—
731C2×C4×Dic53C2311yescharacteristic
732C2×C4×Dic53C2311yescharacteristic
733C2×C4×Dic53C2311yescharacteristic
734C2×C4×Dic53C2312yes—
735C42×D53C2311yescharacteristic
736C42×D53C2311yescharacteristic
737C42×D53C2311yescharacteristic
738C42×D53C2311yescharacteristic
739C42×D53C2311yescharacteristic
740C42×D53C2311yescharacteristic
741C42×D53C2311yescharacteristic
742C42×D53C2311yescharacteristic
743C42×D53C2312yes—
744C42×D53C2314yes—
745C22×Q8×C53C2311yescharacteristic
746C22×Q8×C53C2312yes—
747C4⋊Q8×C53C2312yes—
748C4⋊Q8×C53C2311yescharacteristic
749C4⋊Q8×C53C2311yescharacteristic
750C4⋊Q8×C53C2312yes—
751C4⋊Q8×C53C2312yes—
752C4⋊Q8×C53C2314yes—
753#126×C53C2314yes—
754#126×C53C2312yes—
755#126×C53C2314yes—
756#126×C53C2314yes—
757#126×C53C2314yes—
758#125×C53C2314yes—
759#125×C53C2314yes—
760#125×C53C2314yes—
761#125×C53C2312yes—
762#125×C53C2311yescharacteristic
763#125×C53C2314yes—
764#125×C53C2312yes—
765#125×C53C2312yes—
766#125×C53C2314yes—
767#124×C53C2311yescharacteristic
768#124×C53C2312yes—
769#123×C53C2312yes—
770#123×C53C2314yes—
771C22⋊Q8×C53C2312yes—
772C22⋊Q8×C53C2312yes—
773C22⋊Q8×C53C2312yes—
774C22⋊Q8×C53C2314yes—
775C22⋊Q8×C53C2314yes—
776C22⋊Q8×C53C2314yes—
777C22⋊Q8×C53C2312yes—
778C22⋊Q8×C53C2311yescharacteristic
779#121×C53C2311yescharacteristic
780C4×Q8×C53C2312yes—
781C4×Q8×C53C2312yes—
782C4×Q8×C53C2311yescharacteristic
783C4×Q8×C53C2311yescharacteristic
784C4×Q8×C53C2311yescharacteristic
785C4×Q8×C53C2312yes—
786C4×Q8×C53C2311yescharacteristic
787C4×Q8×C53C2312yes—
788C4×Q8×C53C2312yes—
789C4×Q8×C53C2311yescharacteristic
790C4×Q8×C53C2312yes—
791C4×Q8×C53C2312yes—
792C4×Q8×C53C2314yes—
793C4×Q8×C53C2312yes—
794C4×Q8×C53C2312yes—
795C4×Q8×C53C2314yes—
796C4×D4×C53C2314yes—
797C4×D4×C53C2312yes—
798C4×D4×C53C2312yes—
799C4×D4×C53C2311yescharacteristic
800#117×C53C2314yes—
801#117×C53C2314yes—
802#117×C53C2312yes—
803#117×C53C2314yes—
804#117×C53C2312yes—
805#117×C53C2312yes—
806C2×C4⋊C4×C53C2311yescharacteristic
807C2×C4⋊C4×C53C2312yes—
808C2×C42×C53C2311yescharacteristic
809C2×C42×C53C2312yes—
810C23×D53C2412yes—
811C23×D53C2411yescharacteristic
812C23×D53C2414yes—
813C2×Q8×C53—42no—
814C2×Q8×C53—44no—
815C2×Q8×C53C2411yescharacteristic
816C2×Q8×C53C2412yes—
817C2×Q8×C53C2411yescharacteristic
818C2×Q8×C53C2411yescharacteristic
819C2×Q8×C53C2412yes—
820C2×Q8×C53C2412yes—
821C2×Q8×C53C2414yes—
822C2×D4×C53C2412yes—
823C2×D4×C53C2411yescharacteristic
824C22×C4×C53C2411yescharacteristic
825C22×C4×C53C2411yescharacteristic
826C22×C4×C53C2412yes—
827C22×C4×C53C2411yescharacteristic
828C22×C4×C53C2412yes—
829C22×C4×C53C2412yes—
830C22×C4×C53C2414yes—
831C2×C22⋊D53C2412yes—
832C2×C22⋊D53C2414yes—
833C2×C22⋊D53C2412yes—
834C2×C22⋊D53C2412yes—
835C2×C22⋊D53C2412yes—
836C2×C22⋊D53C2412yes—
837C2×C22⋊D53C2414yes—
838C2×C22⋊D53C2414yes—
839C22×Dic53C2411yescharacteristic
840C22×Dic53C2411yescharacteristic
841C22×Dic53C2411yescharacteristic
842C22×Dic53C2412yes—
843C22×Dic53C2412yes—
844C22×Dic53C2412yes—
845#11719949—44no—
846#11719949—42no—
847#11719949—44no—
848#11719949—44no—
849#11719949—44no—
850#11719949—44no—
851#11719949—44no—
852Q8×D53—44no—
853#11719947—42no—
854#11719947—44no—
855D4×D53—44no—
856D4×D53—48no—
857#11719945—44no—
858#11719945—44no—
859#11719945—48no—
860C2×D212—42no—
861C2×D212—44no—
862C2×D212—44no—
863C2×D212C2412yes—
864C2×D212C2411yescharacteristic
865C2×D212C2412yes—
866C2×D212C2411yescharacteristic
867C2×D212C2411yescharacteristic
868C2×D212C2412yes—
869C2×D212C2414yes—
870C2×D212C2412yes—
871C2×D212C2414yes—
872C2×D212C2414yes—
873C2×D212C2414yes—
874C2×D212C2414yes—
875C2×D212C2412yes—
876C2×D212C2414yes—
877C2×D212C2414yes—
878C2×D212C2414yes—
879C2×D212C2412yes—
880C2×D212C2412yes—
881C2×D212C2412yes—
882C2×D212C2414yes—
883C2×D212C2412yes—
884C2×D212C2412yes—
885C2×C4×D53—42no—
886C2×C4×D53—44no—
887C2×C4×D53—42no—
888C2×C4×D53—42no—
889C2×C4×D53C2411yescharacteristic
890C2×C4×D53C2411yescharacteristic
891C2×C4×D53C2411yescharacteristic
892C2×C4×D53C2411yescharacteristic
893C2×C4×D53C2412yes—
894C2×C4×D53C2412yes—
895C2×C4×D53C2412yes—
896C2×C4×D53C2411yescharacteristic
897C2×C4×D53C2411yescharacteristic
898C2×C4×D53C2411yescharacteristic
899C2×C4×D53C2411yescharacteristic
900C2×C4×D53C2411yescharacteristic
901C2×C4×D53C2411yescharacteristic
902C2×C4×D53C2411yescharacteristic
903C2×C4×D53C2411yescharacteristic
904C2×C4×D53C2414yes—
905C2×C4×D53C2414yes—
906C2×C4×D53C2414yes—
907C2×C4×D53C2412yes—
908C2×C4×D53C2412yes—
909C2×C4×D53C2412yes—
910C2×C4×D53C2414yes—
911C2×C4×D53C2414yes—
912C2×C4×D53C2414yes—
913C2×C4×D53C2414yes—
914C2×C4×D53C2414yes—
915C2×C4×D53C2414yes—
916C2×C4×D53C2414yes—
917C2×C4×D53C2414yes—
918C2×C4×D53C2412yes—
919C2×Dic106C2411yescharacteristic
920C2×Dic106C2412yes—
921C2×Dic106C2412yes—
922C2×Dic106C2414yes—
923C2×Dic106C2412yes—
924C2×Dic106C2414yes—
925C4⋊C4×C53C2411yescharacteristic
926C4⋊C4×C53C2412yes—
927C4⋊C4×C53C2411yescharacteristic
928C4⋊C4×C53C2412yes—
929C4⋊C4×C53C2412yes—
930C4⋊C4×C53C2412yes—
931C4⋊C4×C53C2412yes—
932C4⋊C4×C53C2412yes—
933C4⋊C4×C53C2414yes—
934C4⋊C4×C53C2414yes—
935C4⋊C4×C53C2412yes—
936C4⋊C4×C53C2412yes—
937C4⋊C4×C53C2414yes—
938C4⋊C4×C53C2414yes—
939C4⋊C4×C53C2412yes—
940C4⋊C4×C53C2414yes—
941C4⋊C4×C53C2412yes—
942C4⋊C4×C53C2412yes—
943C4⋊C4×C53C2411yescharacteristic
944C4⋊C4×C53C2414yes—
945C4⋊C4×C53C2412yes—
946C4⋊C4×C53C2411yescharacteristic
947C4⋊C4×C53C2414yes—
948C4⋊C4×C53C2414yes—
949C4⋊C4×C53C2414yes—
950C4⋊C4×C53C2414yes—
951C4⋊C4×C53C2412yes—
952C22⋊C4×C53C2412yes—
953C22⋊C4×C53C2412yes—
954C22⋊C4×C53C2414yes—
955C22⋊C4×C53C2414yes—
956C22⋊C4×C53C2412yes—
957C22⋊C4×C53C2414yes—
958C22⋊C4×C53C2412yes—
959C22⋊C4×C53C2414yes—
960C22⋊C4×C53C2412yes—
961C42×C53C2411yescharacteristic
962C42×C53C2412yes—
963C42×C53C2411yescharacteristic
964C42×C53C2412yes—
965C42×C53C2411yescharacteristic
966C42×C53C2412yes—
967C42×C53C2411yescharacteristic
968C42×C53C2412yes—
969C42×C53C2414yes—
970C42×C53C2414yes—
971C42×C53C2414yes—
972C42×C53C2412yes—
973C42×C53C2414yes—
974C22⋊Dic53C2412yes—
975C22⋊Dic53C2412yes—
976C22⋊Dic53C2412yes—
977C22⋊Dic53C2414yes—
978#11719921C2412yes—
979#11719921C2412yes—
980#11719921C2412yes—
981#11719921C2414yes—
982#11719921C2414yes—
983#11719921C2414yes—
984#11719921C2414yes—
985#11719921C2414yes—
986#11719921C2414yes—
987#11719921C2412yes—
988#11719921C2412yes—
989#11719921C2412yes—
990#11719921C2412yes—
991#11719921C2412yes—
992#11719921C2412yes—
993#11719921C2412yes—
994#11719921C2412yes—
995#11719921C2412yes—
996#11719921C2414yes—
997#11719921C2414yes—
998#11719921C2412yes—
999#11719921C2412yes—
1000#11719921C2414yes—
1001#11719921C2414yes—
1002#11719921C2412yes—
1003#11719921C2412yes—
1004#11719921C2412yes—
1005#11719921C2412yes—
1006#11719921C2412yes—
1007#11719921C2412yes—
1008#11719921C2412yes—
1009#11719921C2414yes—
1010#11719921C2412yes—
1011#11719921C2412yes—
1012#11719921C2412yes—
1013#11719921C2414yes—
1014#11719921C2412yes—
1015#11719921C2414yes—
1016#11719921C2414yes—
1017#11719921C2414yes—
1018#11719921C2414yes—
1019#11719921C2412yes—
1020#11719921C2412yes—
1021#11719921C2412yes—
1022#11719921C2414yes—
1023#11719921C2414yes—
1024#11719921C2412yes—
1025#11719921C2414yes—
1026#11719921C2414yes—
1027#11719921C2414yes—
1028#11719921C2414yes—
1029#11719921C2412yes—
1030C4⋊Dic53C2412yes—
1031C4⋊Dic53C2412yes—
1032C4⋊Dic53C2411yescharacteristic
1033C4⋊Dic53C2411yescharacteristic
1034C4⋊Dic53C2412yes—
1035C4⋊Dic53C2412yes—
1036C4⋊Dic53C2414yes—
1037C4⋊Dic53C2412yes—
1038C4⋊Dic53C2414yes—
1039C4⋊Dic53C2414yes—
1040C4⋊Dic53C2411yescharacteristic
1041C4⋊Dic53C2412yes—
1042C4⋊Dic53C2412yes—
1043C4⋊Dic53C2412yes—
1044C4⋊Dic53C2411yescharacteristic
1045C4⋊Dic53C2412yes—
1046C4⋊Dic53C2414yes—
1047#11719919C2412yes—
1048#11719919C2412yes—
1049#11719919C2412yes—
1050#11719919C2412yes—
1051#11719919C2412yes—
1052#11719919C2414yes—
1053#11719919C2414yes—
1054#11719919C2414yes—
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#11719919C2412yes—
1070#11719919C2412yes—
1071#11719919C2414yes—
1072#11719919C2412yes—
1073#11719919C2414yes—
1074#11719919C2414yes—
1075C4×Dic53C2411yescharacteristic
1076C4×Dic53C2411yescharacteristic
1077C4×Dic53C2411yescharacteristic
1078C4×Dic53C2411yescharacteristic
1079C4×Dic53C2411yescharacteristic
1080C4×Dic53C2411yescharacteristic
1081C4×Dic53C2411yescharacteristic
1082C4×Dic53C2411yescharacteristic
1083C4×Dic53C2411yescharacteristic
1084C4×Dic53C2411yescharacteristic
1085C4×Dic53C2411yescharacteristic
1086C4×Dic53C2411yescharacteristic
1087C4×Dic53C2412yes—
1088C4×Dic53C2412yes—
1089C4×Dic53C2414yes—
1090C4×Dic53C2414yes—
1091C4×Dic53C2412yes—
1092C4×Dic53C2412yes—
1093C4×Dic53C2412yes—
1094C4×Dic53C2414yes—
1095C4×Dic53C2414yes—
1096C4×Dic53C2414yes—
1097C23×C53C2512yes—
1098C23×C53C2511yescharacteristic
1099C22×D53—22no—
1100C22×D53—24no—
1101C22×D53—41no—
1102C22×D53—41no—
1103C22×D53—42no—
1104C22×D53—42no—
1105C22×D53—44no—
1106C22×D53—44no—
1107C22×D53—44no—
1108C22×D53C2512yes—
1109C22×D53C2512yes—
1110C22×D53C2511yescharacteristic
1111C22×D53C2511yescharacteristic
1112C22×D53C2514yes—
1113C22×D53C2512yes—
1114Q8×C53—24no—
1115Q8×C53—22no—
1116Q8×C53—24no—
1117Q8×C53—22no—
1118Q8×C53—22no—
1119Q8×C53—44no—
1120Q8×C53—42no—
1121D4×C53—24no—
1122D4×C53—22no—
1123C2×C4×C53—22no—
1124C2×C4×C53—24no—
1125C2×C4×C53—22no—
1126C2×C4×C53—22no—
1127C2×C4×C53—24no—
1128C2×C4×C53—42no—
1129C2×C4×C53—44no—
1130C2×C4×C53C2511yescharacteristic
1131C2×C4×C53C2512yes—
1132C2×C4×C53C2512yes—
1133C2×C4×C53C2514yes—
1134C2×C4×C53C2512yes—
1135C2×C4×C53C2511yescharacteristic
1136C2×C4×C53C2511yescharacteristic
1137C2×C4×C53C2512yes—
1138C2×C4×C53C2512yes—
1139C2×C4×C53C2511yescharacteristic
1140C2×C4×C53C2514yes—
1141C2×C4×C53C2512yes—
1142C2×C4×C53C2512yes—
1143C2×C4×C53C2511yescharacteristic
1144C2×C4×C53C2511yescharacteristic
1145C22⋊D53—28no—
1146C22⋊D53—24no—
1147C22⋊D53—42no—
1148C22⋊D53—42no—
1149C22⋊D53—44no—
1150C22⋊D53—44no—
1151C22⋊D53—42no—
1152C22⋊D53—42no—
1153C2×Dic53—22no—
1154C2×Dic53—42no—
1155C2×Dic53—41no—
1156C2×Dic53—41no—
1157C2×Dic53—42no—
1158C2×Dic53—42no—
1159C2×Dic53C2512yes—
1160C2×Dic53C2512yes—
1161C2×Dic53C2512yes—
1162C2×Dic53C2514yes—
1163C2×Dic53C2511yescharacteristic
1164C2×Dic53C2511yescharacteristic
1165C2×Dic53C2512yes—
1166C2×Dic53C2511yescharacteristic
1167C2×Dic53C2511yescharacteristic
1168C2×Dic53C2511yescharacteristic
1169C2×Dic53C2511yescharacteristic
1170C2×Dic53C2512yes—
1171D212—22no—
1172D212—22no—
1173D212—24no—
1174D212—24no—
1175D212—22no—
1176D212—42no—
1177D212—42no—
1178D212—44no—
1179D212—42no—
1180D212—42no—
1181D212—42no—
1182D212—42no—
1183D212—44no—
1184D212—42no—
1185D212—44no—
1186D212—44no—
1187D212—44no—
1188D212—44no—
1189D212—42no—
1190D212—44no—
1191D212—44no—
1192D212—44no—
1193C4×D53—22no—
1194C4×D53—24no—
1195C4×D53—22no—
1196C4×D53—24no—
1197C4×D53—22no—
1198C4×D53—22no—
1199C4×D53—24no—
1200C4×D53—42no—
1201C4×D53—41no—
1202C4×D53—41no—
1203C4×D53—41no—
1204C4×D53—41no—
1205C4×D53—41no—
1206C4×D53—41no—
1207C4×D53—42no—
1208C4×D53—41no—
1209C4×D53—41no—
1210C4×D53—44no—
1211C4×D53—44no—
1212C4×D53—44no—
1213C4×D53—44no—
1214C4×D53—42no—
1215C4×D53—44no—
1216C4×D53—44no—
1217C4×D53—44no—
1218C4×D53—44no—
1219C4×D53—44no—
1220C4×D53—44no—
1221C4×D53—42no—
1222C4×D53—44no—
1223Dic106—22no—
1224Dic106—44no—
1225Dic106—42no—
1226Dic106—42no—
1227Dic106—42no—
1228Dic106—44no—
1229#62827—531nomaximal, Sylow
1230C22×C53—21no—
1231C22×C53—21no—
1232C22×C53—22no—
1233C22×C53—22no—
1234C22×C53—22no—
1235C22×C53#58512yes—
1236C22×C53C2611yescharacteristic
1237C2×D53—22no—
1238C2×D53—21no—
1239C2×D53—21no—
1240C2×D53—21no—
1241C2×D53—21no—
1242C2×D53—22no—
1243C2×D53—22no—
1244C2×D53—22no—
1245C2×D53—22no—
1246C2×D53—22no—
1247C2×D53—24no—
1248C2×D53—24no—
1249C2×D53—21no—
1250C2×D53—21no—
1251C2×D53—24no—
1252C2×D53—22no—
1253C2×D53—22no—
1254C2×D53—22no—
1255C2×D53—44no—
1256C2×D53—84no—
1257C2×D53—164no—
1258C4×C53—21no—
1259C4×C53—22no—
1260C4×C53—22no—
1261C4×C53—24no—
1262C4×C53—22no—
1263C4×C53—21no—
1264C4×C53—21no—
1265C4×C53—22no—
1266C4×C53—22no—
1267C4×C53—21no—
1268C4×C53—22no—
1269C4×C53—24no—
1270C4×C53—22no—
1271C4×C53#58512yes—
1272C4×C53#58512yes—
1273Dic53—22no—
1274Dic53—22no—
1275Dic53—22no—
1276Dic53—21no—
1277Dic53—24no—
1278Dic53—21no—
1279Dic53—22no—
1280Dic53—21no—
1281Dic53—21no—
1282Dic53—21no—
1283Dic53—22no—
1284Dic53—21no—
1285#3566—534no—
1286#3566—534no—
1287#3565—532no—
1288#3562—532no—
1289#3555—531no—
1290#3554—531no—
1291#3547—531no—
1292#3546—531no—
1293#3542—532no—
1294#3541—532no—
1295#3533—534no—
1296#3524—532no—
1297#3524—532no—
1298#3523D5311yescharacteristic, complemented
1299#3522—531no—
1300#3521—532no—
1301#3521—534no—
1302#3521—532no—
1303#3520—531no—
1304#3519—531no—
1305#3518—531no—
1306#3517—531no—
1307#3515—531no—
1308#3515—532no—
1309#3514—532no—
1310#3514—531no—
1311#3512—532no—
1312#3510—532no—
1313#3506—532no—
1314#3505—532no—
1315#3495—532no—
1316#3494—532no—
1317#3444—531no—
1318#3444—531no—
1319C2×#529—531no—
1320C2×C53—22no—
1321C2×C53—42no—
1322C2×C53C2×#58511yescharacteristic
1323C2×C53C2×#58511yescharacteristic
1324C2×C53C2×#58511yescharacteristic
1325D53—42no—
1326D53—41no—
1327D53—41no—
1328D53—42no—
1329D53—42no—
1330D53—44no—
1331#563—534no—
1332#563—534no—
1333#562—534no—
1334#562—534no—
1335#562—534no—
1336#562—534no—
1337#560—534no—
1338#560—534no—
1339#559—534no—
1340#559—534no—
1341#559—534no—
1342#559—531no—
1343#559—532no—
1344#559—532no—
1345Q82—531no—
1346#557—532no—
1347#557C2×D5311yescharacteristic, complemented
1348#557C2×D5311yescharacteristic, complemented
1349#557C2×D5312yescomplemented
1350#556—531no—
1351#556—532no—
1352#556—534no—
1353#556—532no—
1354#556—534no—
1355#556—534no—
1356#556—532no—
1357#556—532no—
1358#556C2×D5311yescharacteristic, complemented
1359#556C2×D5312yescomplemented
1360#555—532no—
1361#555—532no—
1362#555—534no—
1363#555—531no—
1364#555—534no—
1365#555—532no—
1366#554—532no—
1367#554—534no—
1368#554—532no—
1369#554—531no—
1370#554—531no—
1371#554—532no—
1372#553—534no—
1373#553—534no—
1374#553—534no—
1375#553—534no—
1376#553—532no—
1377#553—532no—
1378#553—534no—
1379#553—534no—
1380#553—534no—
1381#553—534no—
1382#553—532no—
1383#553—532no—
1384#553—534no—
1385#553—532no—
1386#553—534no—
1387#553—532no—
1388#552—534no—
1389#552—534no—
1390#552—534no—
1391#552—534no—
1392#552—534no—
1393#552—532no—
1394#552—534no—
1395#552—532no—
1396#552—534no—
1397#552—532no—
1398#552—532no—
1399#552—532no—
1400#552—534no—
1401#552C2×D5312yescomplemented
1402#552C2×D5314yescomplemented
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#550—532no—
1415#550—532no—
1416#550—531no—
1417#550—531no—
1418#550—532no—
1419D4×Q8—531no—
1420D4×Q8C2×D5312yescomplemented
1421D4×Q8C2×D5311yescharacteristic, complemented
1422#548—532no—
1423#548—532no—
1424#548—532no—
1425#548—532no—
1426#548—532no—
1427#548—532no—
1428#547—532no—
1429#547—532no—
1430#547—531no—
1431#547—531no—
1432#547—532no—
1433#547—534no—
1434#547—532no—
1435#547—534no—
1436#546—532no—
1437#546—532no—
1438#546—534no—
1439#546—534no—
1440#546—532no—
1441#546—532no—
1442#546—532no—
1443#546—534no—
1444#546—532no—
1445D42—532no—
1446D42—531no—
1447#544—532no—
1448#544—532no—
1449#542—532no—
1450#542—534no—
1451#542—534no—
1452#542—534no—
1453#542—532no—
1454#542—534no—
1455#542—532no—
1456#542—532no—
1457#542—532no—
1458#542—532no—
1459#542—532no—
1460#542—532no—
1461#542—534no—
1462#542—534no—
1463#541—532no—
1464#541—532no—
1465#541—534no—
1466#541—534no—
1467#541—532no—
1468#541C2×D5312yescomplemented
1469#541C2×D5314yescomplemented
1470#540—532no—
1471#540—532no—
1472#540—534no—
1473#540—534no—
1474#540—532no—
1475#540—532no—
1476#540—534no—
1477#539—534no—
1478#539—534no—
1479#539—534no—
1480#539—534no—
1481#539—534no—
1482#539—534no—
1483#539—534no—
1484#538—534no—
1485#538—534no—
1486#538—534no—
1487#538—534no—
1488#538—534no—
1489#538—534no—
1490#538—534no—
1491#538—534no—
1492#538—534no—
1493#537—532no—
1494#537—532no—
1495#536—532no—
1496#536—532no—
1497#535—532no—
1498#535—534no—
1499#535—532no—
1500#534—534no—
1501#533—531no—
1502#533—531no—
1503#533—531no—
1504#533—531no—
1505#533—531no—
1506#533—532no—
1507#533C2×D5311yescharacteristic, complemented
1508#533C2×D5312yescomplemented
1509#532—531no—
1510#532—531no—
1511#532—532no—
1512#532—531no—
1513#532—531no—
1514#532—531no—
1515#532—531no—
1516#532—532no—
1517#529—532no—
1518#529—532no—
1519#529—531no—
1520#529—532no—
1521#529—532no—
1522#529—534no—
1523#529—531no—
1524#529—532no—
1525#529—532no—
1526#529—532no—
1527#529—532no—
1528#529—532no—
1529#529—531no—
1530#529—531no—
1531#529—531no—
1532#529—531no—
1533#529—531no—
1534#529—531no—
1535#529—532no—
1536#529—531no—
1537#529—531no—
1538#529—532no—
1539#529—532no—
1540#529—532no—
1541#529—532no—
1542#529—532no—
1543#529—532no—
1544#529—532no—
1545#529—534no—
1546#529—532no—
1547#529—534no—
1548#529—531no—
1549#529—532no—
1550#529C2×D5311yescharacteristic
1551#529C2×D5312yes—
1552C2×#126—534no—
1553C2×#126—532no—
1554C2×#125—532no—
1555C2×#125—531no—
1556C2×#124—531no—
1557C2×#124—532no—
1558#525—532no—
1559#525—532no—
1560#525—531no—
1561#525—532no—
1562#525—532no—
1563#525—532no—
1564#525—531no—
1565#525—532no—
1566#525—532no—
1567C2×#123—532no—
1568C2×C22⋊Q8—531no—
1569C2×C22⋊Q8—532no—
1570C2×#121—532no—
1571C2×#121—531no—
1572#520—532no—
1573#520—532no—
1574#520—532no—
1575#520—532no—
1576#520—534no—
1577#519—532no—
1578#519C2×D5312yescomplemented
1579#518—532no—
1580#518—534no—
1581#518—532no—
1582C4×#41—531no—
1583C4×#41—532no—
1584C4×#41—532no—
1585C4×#41—532no—
1586C4×#41—531no—
1587C4×#41—532no—
1588C4×#41—532no—
1589C2×C4×Q8C2×D5311yescharacteristic, complemented
1590C2×C4×D4—531no—
1591C2×C4×D4—532no—
1592C2×#117—532no—
1593C22×C42—531no—
1594C53#6282711yescharacteristic, complemented, Sylow
1595C2×#41—532no—
1596C2×#41—532no—
1597C2×#41—531no—
1598C2×#41—532no—
1599C2×#41—532no—
1600C2×#41—532no—
1601C2×#41—532no—
1602C2×#41—532no—
1603C2×#41—531no—
1604C2×#41—532no—
1605C2×#41—532no—
1606C2×#41—534no—
1607C22×Q8—532no—
1608C22×Q8C22×D5311yescharacteristic
1609C22×Q8C22×D5312yes—
1610C22×D4—534no—
1611C22×D4—532no—
1612C22×D4—532no—
1613C22×D4—531no—
1614C22×D4—532no—
1615C23×C4—532no—
1616C23×C4—531no—
1617C23×C4—531no—
1618C23×C4—531no—
1619C4⋊Q8—531no—
1620C4⋊Q8—534no—
1621C4⋊Q8—531no—
1622C4⋊Q8—531no—
1623C4⋊Q8—532no—
1624C4⋊Q8—532no—
1625C4⋊Q8—534no—
1626C4⋊Q8—534no—
1627C4⋊Q8—531no—
1628C4⋊Q8—532no—
1629C4⋊Q8C22×D5311yescharacteristic
1630C4⋊Q8C22×D5311yescharacteristic
1631C4⋊Q8C22×D5312yes—
1632C4⋊Q8C22×D5312yes—
1633C4⋊Q8C22×D5312yes—
1634C4⋊Q8C22×D5314yes—
1635#127—531no—
1636#127—531no—
1637#127—532no—
1638#127—532no—
1639#127—534no—
1640#127—534no—
1641#126—532no—
1642#126—532no—
1643#126—532no—
1644#126—532no—
1645#126—532no—
1646#126—532no—
1647#126—532no—
1648#126—532no—
1649#126—534no—
1650#126—534no—
1651#126—532no—
1652#126—534no—
1653#126—534no—
1654#126—534no—
1655#126—534no—
1656#126—534no—
1657#126—534no—
1658#126—534no—
1659#126—534no—
1660#126—534no—
1661#126—534no—
1662#126—534no—
1663#126—534no—
1664#126—532no—
1665#126—534no—
1666#126—534no—
1667#126—534no—
1668#126—532no—
1669#126—534no—
1670#126—534no—
1671#126—534no—
1672#126—534no—
1673#126—534no—
1674#126C22×D5314yes—
1675#126C22×D5312yes—
1676#126C22×D5314yes—
1677#126C22×D5314yes—
1678#126C22×D5314yes—
1679#125—531no—
1680#125—531no—
1681#125—532no—
1682#125—532no—
1683#125—532no—
1684#125—531no—
1685#125—531no—
1686#125—534no—
1687#125—534no—
1688#125—532no—
1689#125—532no—
1690#125—532no—
1691#125—534no—
1692#125—534no—
1693#125—534no—
1694#125—534no—
1695#125—534no—
1696#125—534no—
1697#125—532no—
1698#125—531no—
1699#125—532no—
1700#125—534no—
1701#125C22×D5312yes—
1702#125C22×D5312yes—
1703#125C22×D5311yescharacteristic
1704#125C22×D5314yes—
1705#125C22×D5312yes—
1706#125C22×D5314yes—
1707#125C22×D5314yes—
1708#125C22×D5314yes—
1709#125C22×D5314yes—
1710#124—531no—
1711#124—531no—
1712#124—532no—
1713#124—532no—
1714#124—531no—
1715#124—531no—
1716#124—532no—
1717#124—534no—
1718#124—534no—
1719#124—532no—
1720#124—532no—
1721#124—532no—
1722#124—534no—
1723#124—534no—
1724#124—534no—
1725#124—534no—
1726#124—532no—
1727#124—532no—
1728#124—534no—
1729#124—534no—
1730#124—534no—
1731#124—532no—
1732#124—531no—
1733#124—532no—
1734#124—534no—
1735#124—534no—
1736#124—534no—
1737#124—534no—
1738#124—534no—
1739#124—534no—
1740#124—534no—
1741#124C22×D5311yescharacteristic
1742#124C22×D5312yes—
1743#123—532no—
1744#123—534no—
1745#123—534no—
1746#123—534no—
1747#123—532no—
1748#123—532no—
1749#123—532no—
1750#123—532no—
1751#123—532no—
1752#123—532no—
1753#123—532no—
1754#123—532no—
1755#123—532no—
1756#123—534no—
1757#123—532no—
1758#123—534no—
1759#123—534no—
1760#123—534no—
1761#123—534no—
1762#123—534no—
1763#123—534no—
1764#123—534no—
1765#123—534no—
1766#123—534no—
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—534no—
1780#123—534no—
1781#123—534no—
1782#123—532no—
1783#123—534no—
1784#123—532no—
1785#123—534no—
1786#123—534no—
1787#123—534no—
1788#123—534no—
1789#123—534no—
1790#123C22×D5312yes—
1791#123C22×D5314yes—
1792C22⋊Q8—531no—
1793C22⋊Q8—531no—
1794C22⋊Q8—532no—
1795C22⋊Q8—531no—
1796C22⋊Q8—531no—
1797C22⋊Q8—532no—
1798C22⋊Q8—532no—
1799C22⋊Q8—532no—
1800C22⋊Q8—531no—
1801C22⋊Q8—532no—
1802C22⋊Q8—532no—
1803C22⋊Q8—532no—
1804C22⋊Q8—532no—
1805C22⋊Q8—532no—
1806C22⋊Q8—534no—
1807C22⋊Q8—534no—
1808C22⋊Q8—534no—
1809C22⋊Q8—531no—
1810C22⋊Q8—534no—
1811C22⋊Q8—532no—
1812C22⋊Q8—532no—
1813C22⋊Q8—532no—
1814C22⋊Q8—531no—
1815C22⋊Q8—532no—
1816C22⋊Q8—532no—
1817C22⋊Q8—532no—
1818C22⋊Q8—534no—
1819C22⋊Q8—534no—
1820C22⋊Q8—534no—
1821C22⋊Q8—534no—
1822C22⋊Q8—534no—
1823C22⋊Q8—534no—
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—532no—
1834C22⋊Q8—534no—
1835C22⋊Q8—534no—
1836C22⋊Q8C22×D5312yes—
1837C22⋊Q8C22×D5311yescharacteristic
1838C22⋊Q8C22×D5312yes—
1839C22⋊Q8C22×D5312yes—
1840C22⋊Q8C22×D5312yes—
1841C22⋊Q8C22×D5314yes—
1842C22⋊Q8C22×D5314yes—
1843C22⋊Q8C22×D5314yes—
1844#121—534no—
1845#121—532no—
1846#121—531no—
1847#121—532no—
1848#121—532no—
1849#121—531no—
1850#121—532no—
1851#121—532no—
1852#121—532no—
1853#121—534no—
1854#121—534no—
1855#121—534no—
1856#121—531no—
1857#121—531no—
1858#121—532no—
1859#121—531no—
1860#121—531no—
1861#121—532no—
1862#121—532no—
1863#121—532no—
1864#121—532no—
1865#121—532no—
1866#121—531no—
1867#121—532no—
1868#121—532no—
1869#121—532no—
1870#121—532no—
1871#121—532no—
1872#121—534no—
1873#121—534no—
1874#121—534no—
1875#121—534no—
1876#121—534no—
1877#121—534no—
1878#121—534no—
1879#121—534no—
1880#121—534no—
1881#121—534no—
1882#121—534no—
1883#121—534no—
1884#121—534no—
1885#121—534no—
1886#121—534no—
1887#121—534no—
1888#121—534no—
1889#121—532no—
1890#121—532no—
1891#121—532no—
1892#121—534no—
1893#121—534no—
1894#121—534no—
1895#121—534no—
1896#121—534no—
1897#121—534no—
1898#121—534no—
1899#121C22×D5311yescharacteristic
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—532no—
1912C4×Q8—531no—
1913C4×Q8—532no—
1914C4×Q8—532no—
1915C4×Q8—532no—
1916C4×Q8—531no—
1917C4×Q8—532no—
1918C4×Q8—532no—
1919C4×Q8—532no—
1920C4×Q8—532no—
1921C4×Q8—532no—
1922C4×Q8—534no—
1923C4×Q8—531no—
1924C4×Q8—532no—
1925C4×Q8—532no—
1926C4×Q8—534no—
1927C4×Q8—534no—
1928C4×Q8—534no—
1929C4×Q8C22×D5311yescharacteristic
1930C4×Q8C22×D5311yescharacteristic
1931C4×Q8C22×D5312yes—
1932C4×Q8C22×D5311yescharacteristic
1933C4×Q8C22×D5311yescharacteristic
1934C4×Q8C22×D5312yes—
1935C4×Q8C22×D5312yes—
1936C4×Q8C22×D5312yes—
1937C4×Q8C22×D5311yescharacteristic
1938C4×Q8C22×D5312yes—
1939C4×Q8C22×D5312yes—
1940C4×Q8C22×D5312yes—
1941C4×Q8C22×D5314yes—
1942C4×Q8C22×D5314yes—
1943C4×Q8C22×D5312yes—
1944C4×Q8C22×D5312yes—
1945C4×D4—532no—
1946C4×D4—531no—
1947C4×D4—532no—
1948C4×D4—532no—
1949C4×D4—532no—
1950C4×D4—534no—
1951C4×D4—534no—
1952C4×D4—534no—
1953C4×D4—532no—
1954C4×D4—531no—
1955C4×D4—534no—
1956C4×D4—532no—
1957C4×D4—534no—
1958C4×D4—532no—
1959C4×D4—532no—
1960C4×D4—532no—
1961C4×D4—532no—
1962C4×D4—532no—
1963C4×D4—534no—
1964C4×D4—534no—
1965C4×D4—534no—
1966C4×D4—534no—
1967C4×D4—534no—
1968C4×D4—532no—
1969C4×D4—532no—
1970C4×D4—534no—
1971C4×D4—534no—
1972C4×D4—534no—
1973C4×D4—532no—
1974C4×D4—532no—
1975C4×D4—534no—
1976C4×D4—532no—
1977C4×D4—532no—
1978C4×D4—532no—
1979C4×D4—532no—
1980C4×D4—532no—
1981C4×D4—534no—
1982C4×D4—534no—
1983C4×D4—534no—
1984C4×D4—534no—
1985C4×D4—531no—
1986C4×D4—531no—
1987C4×D4—532no—
1988C4×D4—531no—
1989C4×D4—532no—
1990C4×D4—532no—
1991C4×D4—532no—
1992C4×D4—532no—
1993C4×D4—531no—
1994C4×D4—532no—
1995C4×D4—532no—
1996C4×D4—532no—
1997C4×D4—532no—
1998C4×D4—532no—
1999C4×D4—532no—
2000C4×D4—534no—
2001C4×D4—532no—
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—534no—
2011C4×D4—534no—
2012C4×D4—534no—
2013C4×D4—534no—
2014C4×D4—532no—
2015C4×D4—532no—
2016C4×D4—534no—
2017C4×D4C22×D5312yes—
2018C4×D4C22×D5311yescharacteristic
2019C4×D4C22×D5314yes—
2020C4×D4C22×D5312yes—
2021#117—532no—
2022#117—531no—
2023#117—532no—
2024#117—532no—
2025#117—531no—
2026#117—534no—
2027#117—534no—
2028#117—532no—
2029#117—532no—
2030#117—532no—
2031#117—534no—
2032#117—532no—
2033#117—534no—
2034#117—534no—
2035#117—534no—
2036#117—532no—
2037#117—532no—
2038#117—532no—
2039#117—532no—
2040#117—532no—
2041#117—532no—
2042#117—532no—
2043#117—532no—
2044#117—532no—
2045#117—532no—
2046#117—532no—
2047#117—532no—
2048#117—532no—
2049#117—534no—
2050#117—534no—
2051#117—534no—
2052#117—534no—
2053#117—534no—
2054#117—534no—
2055#117—534no—
2056#117C22×D5312yes—
2057#117C22×D5312yes—
2058#117C22×D5314yes—
2059#117C22×D5314yes—
2060#117C22×D5312yes—
2061#117C22×D5314yes—
2062C2×C4⋊C4—532no—
2063C2×C4⋊C4—532no—
2064C2×C4⋊C4—532no—
2065C2×C4⋊C4—531no—
2066C2×C4⋊C4—532no—
2067C2×C4⋊C4—534no—
2068C2×C4⋊C4—532no—
2069C2×C4⋊C4—532no—
2070C2×C4⋊C4—532no—
2071C2×C4⋊C4—534no—
2072C2×C4⋊C4—534no—
2073C2×C4⋊C4—534no—
2074C2×C4⋊C4—534no—
2075C2×C4⋊C4—534no—
2076C2×C4⋊C4C22×D5311yescharacteristic
2077C2×C4⋊C4C22×D5312yes—
2078C2×C22⋊C4—532no—
2079C2×C22⋊C4—532no—
2080C2×C22⋊C4—532no—
2081C2×C22⋊C4—532no—
2082C2×C22⋊C4—532no—
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×C22⋊C4—534no—
2090C2×C42—531no—
2091C2×C42—532no—
2092C2×C42—531no—
2093C2×C42—531no—
2094C2×C42—532no—
2095C2×C42—534no—
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—532no—
2107C24—531no—
2108C24—534no—
2109#41—2124no—
2110#41—2124no—
2111#41—2128no—
2112#41—2124no—
2113#41—2122no—
2114#41—2124no—
2115#41—2124no—
2116#41—2124no—
2117#41—2124no—
2118#41—2124no—
2119#41—2124no—
2120#41—2122no—
2121C2×Q8—42no—
2122C2×Q8—44no—
2123C2×Q8—531no—
2124C2×Q8—534no—
2125C2×Q8—532no—
2126C2×Q8—532no—
2127C2×Q8—532no—
2128C2×Q8—534no—
2129C2×Q8—2124no—
2130C2×Q8C23×D5312yes—
2131C2×Q8C23×D5311yescharacteristic
2132C2×Q8C23×D5312yes—
2133C2×Q8C23×D5311yescharacteristic
2134C2×Q8C23×D5311yescharacteristic
2135C2×Q8C23×D5312yes—
2136C2×Q8C23×D5314yes—
2137C2×D4—532no—
2138C2×D4—534no—
2139C2×D4—532no—
2140C2×D4—532no—
2141C2×D4—532no—
2142C2×D4—532no—
2143C2×D4—534no—
2144C2×D4—534no—
2145C2×D4—531no—
2146C2×D4—532no—
2147C2×D4—531no—
2148C2×D4—532no—
2149C2×D4—531no—
2150C2×D4—534no—
2151C2×D4—532no—
2152C2×D4—532no—
2153C2×D4—534no—
2154C2×D4—532no—
2155C2×D4—534no—
2156C2×D4—534no—
2157C2×D4—534no—
2158C2×D4—532no—
2159C2×D4—534no—
2160C2×D4—534no—
2161C2×D4—532no—
2162C2×D4—532no—
2163C2×D4—534no—
2164C2×D4—532no—
2165C2×D4—534no—
2166C2×D4—532no—
2167C2×D4—2122no—
2168C2×D4—2124no—
2169C2×D4—2124no—
2170C2×D4—2124no—
2171C2×D4—2128no—
2172C2×D4C23×D5312yes—
2173C2×D4C23×D5311yescharacteristic
2174C22×C4—531no—
2175C22×C4—531no—
2176C22×C4—531no—
2177C22×C4—532no—
2178C22×C4—532no—
2179C22×C4—532no—
2180C22×C4—531no—
2181C22×C4—531no—
2182C22×C4—531no—
2183C22×C4—531no—
2184C22×C4—532no—
2185C22×C4—532no—
2186C22×C4—532no—
2187C22×C4—531no—
2188C22×C4—531no—
2189C22×C4—531no—
2190C22×C4—531no—
2191C22×C4—531no—
2192C22×C4—531no—
2193C22×C4—531no—
2194C22×C4—531no—
2195C22×C4—534no—
2196C22×C4—534no—
2197C22×C4—534no—
2198C22×C4—532no—
2199C22×C4—532no—
2200C22×C4—532no—
2201C22×C4—534no—
2202C22×C4—534no—
2203C22×C4—534no—
2204C22×C4—534no—
2205C22×C4—534no—
2206C22×C4—534no—
2207C22×C4—534no—
2208C22×C4—534no—
2209C22×C4—532no—
2210C22×C4—2122no—
2211C22×C4—2124no—
2212C22×C4—2122no—
2213C22×C4—2122no—
2214C22×C4C23×D5311yescharacteristic
2215C22×C4C23×D5311yescharacteristic
2216C22×C4C23×D5311yescharacteristic
2217C22×C4C23×D5312yes—
2218C22×C4C23×D5312yes—
2219C22×C4C23×D5312yes—
2220C22×C4C23×D5314yes—
2221C4⋊C4—532no—
2222C4⋊C4—532no—
2223C4⋊C4—532no—
2224C4⋊C4—532no—
2225C4⋊C4—531no—
2226C4⋊C4—532no—
2227C4⋊C4—532no—
2228C4⋊C4—531no—
2229C4⋊C4—532no—
2230C4⋊C4—532no—
2231C4⋊C4—534no—
2232C4⋊C4—534no—
2233C4⋊C4—534no—
2234C4⋊C4—534no—
2235C4⋊C4—532no—
2236C4⋊C4—532no—
2237C4⋊C4—531no—
2238C4⋊C4—532no—
2239C4⋊C4—532no—
2240C4⋊C4—534no—
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—534no—
2250C4⋊C4—534no—
2251C4⋊C4—534no—
2252C4⋊C4—534no—
2253C4⋊C4—531no—
2254C4⋊C4—532no—
2255C4⋊C4—532no—
2256C4⋊C4—534no—
2257C4⋊C4—532no—
2258C4⋊C4—532no—
2259C4⋊C4—532no—
2260C4⋊C4—534no—
2261C4⋊C4—532no—
2262C4⋊C4—534no—
2263C4⋊C4—532no—
2264C4⋊C4—532no—
2265C4⋊C4—534no—
2266C4⋊C4C23×D5311yescharacteristic
2267C4⋊C4C23×D5312yes—
2268C4⋊C4C23×D5311yescharacteristic
2269C4⋊C4C23×D5314yes—
2270C4⋊C4C23×D5312yes—
2271C4⋊C4C23×D5312yes—
2272C4⋊C4C23×D5314yes—
2273C4⋊C4C23×D5314yes—
2274C4⋊C4C23×D5314yes—
2275C4⋊C4C23×D5311yescharacteristic
2276C4⋊C4C23×D5312yes—
2277C4⋊C4C23×D5312yes—
2278C4⋊C4C23×D5312yes—
2279C4⋊C4C23×D5312yes—
2280C4⋊C4C23×D5311yescharacteristic
2281C4⋊C4C23×D5314yes—
2282C4⋊C4C23×D5314yes—
2283C4⋊C4C23×D5312yes—
2284C4⋊C4C23×D5314yes—
2285C4⋊C4C23×D5312yes—
2286C4⋊C4C23×D5314yes—
2287C4⋊C4C23×D5312yes—
2288C4⋊C4C23×D5312yes—
2289C4⋊C4C23×D5312yes—
2290C4⋊C4C23×D5312yes—
2291C4⋊C4C23×D5314yes—
2292C4⋊C4C23×D5314yes—
2293C22⋊C4—532no—
2294C22⋊C4—532no—
2295C22⋊C4—532no—
2296C22⋊C4—534no—
2297C22⋊C4—532no—
2298C22⋊C4—532no—
2299C22⋊C4—532no—
2300C22⋊C4—532no—
2301C22⋊C4—532no—
2302C22⋊C4—534no—
2303C22⋊C4—534no—
2304C22⋊C4—534no—
2305C22⋊C4—532no—
2306C22⋊C4—532no—
2307C22⋊C4—532no—
2308C22⋊C4—534no—
2309C22⋊C4—534no—
2310C22⋊C4—534no—
2311C22⋊C4—532no—
2312C22⋊C4—532no—
2313C22⋊C4—532no—
2314C22⋊C4—532no—
2315C22⋊C4—532no—
2316C22⋊C4—532no—
2317C22⋊C4—534no—
2318C22⋊C4—532no—
2319C22⋊C4—532no—
2320C22⋊C4—534no—
2321C22⋊C4—532no—
2322C22⋊C4—532no—
2323C22⋊C4—532no—
2324C22⋊C4—534no—
2325C22⋊C4—534no—
2326C22⋊C4—532no—
2327C22⋊C4—532no—
2328C22⋊C4—532no—
2329C22⋊C4—534no—
2330C22⋊C4—532no—
2331C22⋊C4—532no—
2332C22⋊C4—534no—
2333C22⋊C4—534no—
2334C22⋊C4—532no—
2335C22⋊C4—532no—
2336C22⋊C4—532no—
2337C22⋊C4—534no—
2338C22⋊C4—534no—
2339C22⋊C4—534no—
2340C22⋊C4—534no—
2341C22⋊C4—534no—
2342C22⋊C4—532no—
2343C22⋊C4—534no—
2344C22⋊C4—534no—
2345C22⋊C4—532no—
2346C22⋊C4—532no—
2347C22⋊C4—534no—
2348C22⋊C4—534no—
2349C22⋊C4C23×D5312yes—
2350C22⋊C4C23×D5312yes—
2351C22⋊C4C23×D5314yes—
2352C22⋊C4C23×D5314yes—
2353C22⋊C4C23×D5314yes—
2354C22⋊C4C23×D5312yes—
2355C22⋊C4C23×D5312yes—
2356C22⋊C4C23×D5312yes—
2357C22⋊C4C23×D5314yes—
2358C42—531no—
2359C42—531no—
2360C42—531no—
2361C42—531no—
2362C42—531no—
2363C42—531no—
2364C42—531no—
2365C42—531no—
2366C42—531no—
2367C42—531no—
2368C42—531no—
2369C42—531no—
2370C42—532no—
2371C42—532no—
2372C42—534no—
2373C42—534no—
2374C42—532no—
2375C42—532no—
2376C42—532no—
2377C42—534no—
2378C42—534no—
2379C42—534no—
2380C42C23×D5311yescharacteristic
2381C42C23×D5311yescharacteristic
2382C42C23×D5311yescharacteristic
2383C42C23×D5311yescharacteristic
2384C42C23×D5314yes—
2385C42C23×D5312yes—
2386C42C23×D5312yes—
2387C42C23×D5312yes—
2388C42C23×D5312yes—
2389C42C23×D5312yes—
2390C42C23×D5314yes—
2391C42C23×D5314yes—
2392C42C23×D5314yes—
2393C23—532no—
2394C23—531no—
2395C23—531no—
2396C23—532no—
2397C23—534no—
2398C23—532no—
2399C23—1064no—
2400C23—1062no—
2401C23—2124no—
2402C23—2124no—
2403C23—2124no—
2404C23—2122no—
2405C23—2122no—
2406C23—2121no—
2407C23—2121no—
2408C23C24×D5312yes—
2409C23C24×D5311yescharacteristic
2410Q8—22no—
2411Q8—22no—
2412Q8—24no—
2413Q8—24no—
2414Q8—22no—
2415Q8—42no—
2416Q8—44no—
2417Q8—1062no—
2418Q8—2124no—
2419Q8—2122no—
2420Q8—2122no—
2421Q8—2124no—
2422Q8—2122no—
2423D4—24no—
2424D4—22no—
2425D4—1068no—
2426D4—1064no—
2427D4—1062no—
2428D4—1064no—
2429D4—1062no—
2430D4—1064no—
2431D4—1062no—
2432D4—2122no—
2433D4—2124no—
2434D4—2122no—
2435D4—2122no—
2436D4—2122no—
2437D4—2122no—
2438D4—2124no—
2439D4—2122no—
2440D4—2124no—
2441D4—2124no—
2442D4—2124no—
2443D4—2122no—
2444D4—2124no—
2445D4—2124no—
2446D4—2122no—
2447D4—2124no—
2448D4—2124no—
2449D4—2124no—
2450D4—2124no—
2451D4—2122no—
2452D4—2122no—
2453D4—2122no—
2454D4—2122no—
2455C2×C4—22no—
2456C2×C4—24no—
2457C2×C4—22no—
2458C2×C4—24no—
2459C2×C4—22no—
2460C2×C4—42no—
2461C2×C4—44no—
2462C2×C4—531no—
2463C2×C4—531no—
2464C2×C4—531no—
2465C2×C4—531no—
2466C2×C4—532no—
2467C2×C4—532no—
2468C2×C4—531no—
2469C2×C4—531no—
2470C2×C4—534no—
2471C2×C4—532no—
2472C2×C4—532no—
2473C2×C4—532no—
2474C2×C4—1062no—
2475C2×C4—1062no—
2476C2×C4—1062no—
2477C2×C4—1064no—
2478C2×C4—1064no—
2479C2×C4—1064no—
2480C2×C4—1062no—
2481C2×C4—1062no—
2482C2×C4—2121no—
2483C2×C4—2121no—
2484C2×C4—2121no—
2485C2×C4—2121no—
2486C2×C4—2121no—
2487C2×C4—2122no—
2488C2×C4—2122no—
2489C2×C4—2121no—
2490C2×C4—2121no—
2491C2×C4—2121no—
2492C2×C4—2124no—
2493C2×C4—2124no—
2494C2×C4—2124no—
2495C2×C4—2124no—
2496C2×C4—2124no—
2497C2×C4—2124no—
2498C2×C4—2124no—
2499C2×C4—2124no—
2500C2×C4—2122no—
2501C2×C4—2122no—
2502C2×C4—2124no—
2503C2×C4—2124no—
2504C2×C4—2124no—
2505C2×C4—2121no—
2506C2×C4—2121no—
2507C2×C4—2122no—
2508C2×C4—2122no—
2509C2×C4—2122no—
2510C2×C4C24×D5312yes—
2511C2×C4C24×D5311yescharacteristic
2512C2×C4C24×D5311yescharacteristic
2513C2×C4C24×D5311yescharacteristic
2514C2×C4C24×D5314yes—
2515C2×C4C24×D5312yes—
2516C2×C4C24×D5311yescharacteristic
2517C2×C4C24×D5314yes—
2518C2×C4C24×D5312yes—
2519C2×C4C24×D5312yes—
2520C2×C4C24×D5312yes—
2521C2×C4C24×D5312yes—
2522C2×C4C24×D5312yes—
2523C2×C4C24×D5311yescharacteristic
2524C2×C4C24×D5311yescharacteristic
2525C22—21no—
2526C22—21no—
2527C22—22no—
2528C22—22no—
2529C22—22no—
2530C22—8484no—
2531C22—1061no—
2532C22—1061no—
2533C22—1062no—
2534C22—1064no—
2535C22—1062no—
2536C22—1062no—
2537C22—1062no—
2538C22—1061no—
2539C22—1061no—
2540C22—1062no—
2541C22—1062no—
2542C22—1062no—
2543C22—1064no—
2544C22—1064no—
2545C22—1061no—
2546C22—1061no—
2547C22—1062no—
2548C22—1062no—
2549C22—4244no—
2550C22—2124no—
2551C22#1681146012yes—
2552C22C25×D5311yescharacteristic
2553C4—21no—
2554C4—22no—
2555C4—22no—
2556C4—22no—
2557C4—24no—
2558C4—21no—
2559C4—21no—
2560C4—22no—
2561C4—21no—
2562C4—22no—
2563C4—22no—
2564C4—22no—
2565C4—24no—
2566C4—1061no—
2567C4—1062no—
2568C4—1061no—
2569C4—1061no—
2570C4—1061no—
2571C4—1061no—
2572C4—1062no—
2573C4—1062no—
2574C4—1061no—
2575C4—1064no—
2576C4—1062no—
2577C4—1062no—
2578C4#1681145912yes—
2579C4#1681146012yes—
2580C2—22no—
2581C2—42no—
2582C2—2122no—
2583C2—2124no—
2584C2—2122no—
2585C2—2121no—
2586C2—2121no—
2587C2—2122no—
2588C2C2×#1681145911yescharacteristic
2589C2C2×#1681146011yescharacteristic
2590C2C2×#1681146011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3523C2
hypercenter#3523D53
hypocenterC53#62827
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3523

Complements

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

NH ≅ G/Ntype
1. #20289398C2semidirect
2. #20289378C2semidirect
3. #20289367C2semidirect
4. #20289310C2semidirect
5. #20289199C2semidirect
6. #20289189C2semidirect
7. #20289100C2semidirect
8. #20289090C2semidirect
9. #20289025C2semidirect
10. #20289013C2semidirect
11. #20288881C2semidirect
12. #20288827C2semidirect
13. #20288826C2semidirect
14. #20288800C2semidirect
15. #20288789C2semidirect
16. #20288782C2semidirect
17. #20288770C2semidirect
18. #20288759C2semidirect
19. #20288749C2semidirect
20. #20288729C2semidirect
21. #20288722C2semidirect
22. #20288692C2semidirect
23. #20288690C2semidirect
24. #20288677C2semidirect
25. #20288677C2semidirect
26. #20288638C2semidirect
27. #20288612C2semidirect
28. #20288569C2semidirect
29. #20288550C2semidirect
30. #20288462C2semidirect
31. #20288438C2semidirect
32. #20288012C2semidirect
33. #20288009C2semidirect
34. C2×#16811160C2semidirect
35. C53×#3523C2semidirect
36. #16811377C22semidirect
37. #16811372C22semidirect
38. #16811371C22semidirect
39. #16811371C22semidirect
40. #16811369C22semidirect
41. #16811369C22semidirect
42. #16811364C22semidirect
43. #16811364C22semidirect
44. #16811358C22semidirect
45. #16811358C22semidirect
46. #16811358C22semidirect
47. #16811358C22semidirect
48. #16811358C22semidirect
49. #16811358C22semidirect
50. Q8×Dic106C22semidirect
51. #16811349C22semidirect
52. #16811347C22semidirect
53. #16811347C22semidirect
54. #16811346C22semidirect
55. #16811346C22semidirect
56. #16811345C22semidirect
57. #16811345C22semidirect
58. #16811344C22semidirect
59. #16811340C22semidirect
60. #16811339C22semidirect
61. #16811339C22semidirect
62. #16811339C22semidirect
63. #16811338C22semidirect
64. #16811336C22semidirect
65. #16811336C22semidirect
66. #16811333C22semidirect
67. #16811333C22semidirect
68. #16811333C22semidirect
69. #16811331C22semidirect
70. #16811329C22semidirect
71. #16811327C22semidirect
73. #16811326C22semidirect
74. #16811326C22semidirect
75. #16811326C22semidirect
76. #16811326C22semidirect
77. #16811326C22semidirect
78. #16811326C22semidirect
79. #16811324C22semidirect
80. #16811324C22semidirect
81. #16811324C22semidirect
82. #16811324C22semidirect
83. #16811323C22semidirect
84. #16811322C22semidirect
86. #16811317C22semidirect
87. #16811317C22semidirect
88. #16811314C22semidirect
89. #16811314C22semidirect
90. #16811314C22semidirect
91. #16811314C22semidirect
92. #16811311C22semidirect
93. #16811311C22semidirect
94. #16811309C22semidirect
95. #16811307C22semidirect
96. #16811306C22semidirect
97. #16811305C22semidirect
98. #16811305C22semidirect
99. #16811305C22semidirect
100. #16811305C22semidirect
101. #16811300C22semidirect
102. #16811300C22semidirect
103. #16811300C22semidirect
104. #16811298C22semidirect
105. #16811298C22semidirect
106. #16811297C22semidirect
107. #16811297C22semidirect
108. #16811297C22semidirect
109. #16811297C22semidirect
110. #16811297C22semidirect
111. #16811297C22semidirect
112. #16811295C22semidirect
113. #16811295C22semidirect
114. #16811295C22semidirect
115. #16811295C22semidirect
116. #16811295C22semidirect
117. #16811288C22semidirect
118. #16811285C22semidirect
119. #16811285C22semidirect
120. #16811284C22semidirect
121. #16811284C22semidirect
122. #16811284C22semidirect
123. #16811281C22semidirect
124. #16811276C22semidirect
125. #16811276C22semidirect
126. #16811276C22semidirect
127. #16811276C22semidirect
128. #16811276C22semidirect
129. #16811274C22semidirect
130. #16811274C22semidirect
131. #16811271C22semidirect
132. #16811268C22semidirect
133. #16811268C22semidirect
134. #16811266C22semidirect
135. #16811266C22semidirect
137. #16811265C22semidirect
140. #16811264C22semidirect
142. D4×D212C22semidirect
143. #16811253C22semidirect
144. #16811250C22semidirect
145. #16811247C22semidirect
146. #16811247C22semidirect
147. #16811247C22semidirect
149. #16811245C22semidirect
150. #16811245C22semidirect
151. #16811245C22semidirect
152. #16811245C22semidirect
153. #16811245C22semidirect
154. #16811245C22semidirect
155. #16811245C22semidirect
156. #16811243C22semidirect
157. #16811242C22semidirect
158. #16811239C22semidirect
159. #16811234C22semidirect
160. #16811234C22semidirect
161. #16811232C22semidirect
162. #16811232C22semidirect
163. #16811231C22semidirect
164. #16811229C22semidirect
165. #16811229C22semidirect
166. #16811229C22semidirect
167. #16811229C22semidirect
168. #16811228C22semidirect
169. #16811228C22semidirect
170. #16811224C22semidirect
171. #16811221C22semidirect
172. #16811221C22semidirect
173. #16811221C22semidirect
174. #16811221C22semidirect
175. #16811219C22semidirect
176. #16811217C22semidirect
177. #16811214C22semidirect
178. #16811213C22semidirect
179. #16811213C22semidirect
180. #16811213C22semidirect
181. #16811213C22semidirect
182. #16811212C22semidirect
183. #16811212C22semidirect
184. #16811212C22semidirect
185. #16811212C22semidirect
186. #16811206C22semidirect
187. #16811203C22semidirect
188. #16811203C22semidirect
189. #16811198C22semidirect
190. #16811197C22semidirect
192. #16811192C22semidirect
193. #16811191C22semidirect
194. #16811184C22semidirect
195. #16811179C22semidirect
196. #16811178C22semidirect
197. #16811178C22semidirect
198. #16811177C22semidirect
199. #16811176C22semidirect
200. #16811175C22semidirect
201. #16811174C22semidirect
202. #16811174C22semidirect
203. #16811174C22semidirect
205. #16811173C22semidirect
206. #16811172C22semidirect
207. #16811170C22semidirect
213. #16811160C22semidirect
214. #16811160C22semidirect
215. #16811160C22semidirect
216. #16811160C22semidirect
217. #16811160C22semidirect
218. #16811160C22semidirect
219. #16811160C22semidirect
220. #16811160C22semidirect
221. #16811160C22semidirect
222. #16811160C22semidirect
223. #16811160C22semidirect
224. #16811160C22semidirect
225. #16811160C22semidirect
226. #16811159C22semidirect
227. #16811159C22semidirect
228. #16811159C22semidirect
229. #16811159C22semidirect
230. #16811158C22semidirect
231. #16811158C22semidirect
232. #16811158C22semidirect
233. #16811158C22semidirect
234. #16811157C22semidirect
235. #16811157C22semidirect
236. #16811156C22semidirect
237. #16811156C22semidirect
238. #16811152C22semidirect
239. #16811151C22semidirect
240. #16811151C22semidirect
241. #16811150C22semidirect
242. C2×#13133212C22semidirect
243. #126×D53C22semidirect
244. C2×#13133208C22semidirect
245. #125×D53C22semidirect
247. C2×#13133206C22semidirect
249. #16811136C22semidirect
250. #16811136C22semidirect
251. #16811136C22semidirect
252. #16811136C22semidirect
253. #16811135C22semidirect
255. #16811132C22semidirect
256. #16811131C22semidirect
257. C2×#13133202C22semidirect
258. C2×#13133193C22semidirect
259. C22⋊Q8×D53C22semidirect
262. #16811105C22semidirect
263. #16811105C22semidirect
264. #16811105C22semidirect
265. #16811105C22semidirect
266. #16811103C22semidirect
267. #16811099C22semidirect
268. #16811097C22semidirect
269. #16811095C22semidirect
270. #16811095C22semidirect
271. C4×#11719949C22semidirect
272. C4×#11719949C22semidirect
273. C4×#11719949C22semidirect
274. #16811091C22semidirect
275. #16811091C22semidirect
276. C4×#11719947C22semidirect
277. C4×#11719947C22semidirect
279. C2×C4×D212C22semidirect
280. C2×#13133174C22semidirect
281. C2×C42×D53C22semidirect
282. C53×#557C22semidirect
283. C53×#557C22semidirect
284. C53×#557C22semidirect
285. C53×#556C22semidirect
286. C53×#556C22semidirect
287. C53×#552C22semidirect
288. C53×#552C22semidirect
289. D4×Q8×C53C22semidirect
290. D4×Q8×C53C22semidirect
291. C53×#541C22semidirect
292. C53×#541C22semidirect
293. C53×#533C22semidirect
294. C53×#533C22semidirect
297. C53×#519C22semidirect
298. C2×C4×Q8×C53C22semidirect
1298. #3523D53semidirect
1347. #557C2×D53semidirect
1348. #557C2×D53semidirect
1349. #557C2×D53semidirect
1358. #556C2×D53semidirect
1359. #556C2×D53semidirect
1401. #552C2×D53semidirect
1402. #552C2×D53semidirect
1420. D4×Q8C2×D53semidirect
1421. D4×Q8C2×D53semidirect
1468. #541C2×D53semidirect
1469. #541C2×D53semidirect
1507. #533C2×D53semidirect
1508. #533C2×D53semidirect
1578. #519C2×D53semidirect
1589. C2×C4×Q8C2×D53semidirect
1594. C53#62827semidirect

Maximal subgroups

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

subgroupindex
#202893982
#202893782
#202893672
#202893102
#202891992
#202891892
#202891002
#202890902
#202890252
#202890132
#202888812
#202888272
#202888262
#202888002
#202887892
#202887822
#202887702
#202887592
#202887492
#202887292
#202887222
#202886922
#202886902
#202886772
#202886382
#202886122
#202885692
#202885502
#202884622
#202884382
#202880122
#202880092
C2×#168111602
C53×#35232
#6282753