Finite Group Databasebeta

← #28292850

Subgroups — #28292850

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#20289390C214yesmaximal, complemented
2#20289386C214yesmaximal, complemented
3#20289358C212yesmaximal, complemented
4#20289301C212yesmaximal, complemented
5#20289204C211yesmaximal, characteristic, complemented
6#20289174C211yesmaximal, characteristic, complemented
7#20289105C211yesmaximal, characteristic, complemented
8#20289075C211yesmaximal, characteristic, complemented
9#20289032C212yesmaximal, complemented
10#20288994C212yesmaximal, complemented
11#20288885C214yesmaximal, complemented
12#20288822C212yesmaximal, complemented
13#20288819C212yesmaximal, complemented
14#20288811C211yesmaximal, characteristic, complemented
15#20288786C212yesmaximal, complemented
16#20288785C212yesmaximal, complemented
17#20288784C214yesmaximal, complemented
18#20288766C211yesmaximal, characteristic, complemented
19#20288742C211yesmaximal, characteristic, complemented
20#20288733C211yesmaximal, characteristic, complemented
21#20288718C211yesmaximal, characteristic, complemented
22#20288694C211yesmaximal, characteristic, complemented
23#20288684C212yesmaximal, complemented
24#20288675C211yesmaximal, characteristic, complemented
25#20288669C212yesmaximal, complemented
26#20288632C212yesmaximal, complemented
27#20288607C212yesmaximal, complemented
28#20288564C212yesmaximal, complemented
29#20288550C212yesmaximal, complemented
30#20288455C212yesmaximal, complemented
31#20288445C212yesmaximal, complemented
32#20288010C211yesmaximal, characteristic, complemented
33#20288009C211yesmaximal, characteristic, complemented
34C2×#16811160C211yesmaximal, characteristic, complemented
35C53×#3522C211yesmaximal, characteristic, complemented
36#16811374C2214yescomplemented
37#16811372C2214yescomplemented
38#16811370C2214yescomplemented
39#16811369C2214yescomplemented
40#16811369C2214yescomplemented
41#16811367C2214yescomplemented
42#16811363C2214yescomplemented
43#16811361C2214yescomplemented
44#16811357C2214yescomplemented
45#16811355C2214yescomplemented
46#16811355C2214yescomplemented
47#16811355C2212yescomplemented
48#16811352C2211yescharacteristic, complemented
49#16811351C2212yescomplemented
50#16811351C2211yescharacteristic, complemented
51#16811348C2212yescomplemented
52#16811347C2214yescomplemented
53#16811347C2212yescomplemented
54#16811347C2212yescomplemented
55#16811346C2212yescomplemented
56#16811346C2212yescomplemented
57#16811346C2211yescharacteristic, complemented
58#16811346C2211yescharacteristic, complemented
59#16811345C2212yescomplemented
60#16811344C2214yescomplemented
61#16811340C2214yescomplemented
62#16811339C2212yescomplemented
63#16811339C2211yescharacteristic, complemented
64#16811338C2212yescomplemented
65#16811338C2212yescomplemented
66#16811335C2214yescomplemented
67#16811335C2214yescomplemented
68#16811334C2211yescharacteristic, complemented
69#16811332C2214yescomplemented
70#16811330C2212yescomplemented
71#16811330C2212yescomplemented
72#16811326C2212yescomplemented
73#16811325C2212yes—
74#16811325C2212yescomplemented
75#16811324C2214yescomplemented
76#16811323C2212yescomplemented
77#16811323C2212yescomplemented
78#16811322C2214yescomplemented
79#16811322C2214yescomplemented
80#16811321C2212yes—
81#16811321C2214yescomplemented
82#16811319C2214yescomplemented
83#16811319C2214yescomplemented
84#16811319C2214yescomplemented
85#16811317C2214yescomplemented
86#16811316C2214yescomplemented
87#16811316C2214yescomplemented
88#16811315C2214yescomplemented
89#16811315C2214yescomplemented
90#16811315C2212yescomplemented
91#16811314C2212yescomplemented
92#16811312C2214yescomplemented
93#16811311C2212yescomplemented
94#16811311C2212yescomplemented
95#16811310C2214yescomplemented
96#16811310C2214yescomplemented
97#16811309C2214yescomplemented
98#16811308C2212yescomplemented
99#16811308C2214yescomplemented
100#16811308C2214yescomplemented
101#16811308C2212yescomplemented
102#16811306C2214yescomplemented
103#16811303C2214yescomplemented
104#16811302C2214yescomplemented
105#16811302C2214yescomplemented
106#16811300C2214yescomplemented
107#16811300C2214yescomplemented
108#16811298C2214yescomplemented
109#16811297C2214yescomplemented
110#16811296C2214yescomplemented
111#16811296C2214yescomplemented
112#16811296C2214yescomplemented
113#16811296C2214yescomplemented
114#16811293C2212yescomplemented
115#16811293C2212yescomplemented
116#16811293C2211yescharacteristic, complemented
117#16811291C2212yescomplemented
118Q8×D212C2211yescharacteristic, complemented
119Q8×D212C2211yescharacteristic, complemented
120Q8×C22⋊D53C2212yescomplemented
121#16811285C2212yescomplemented
122#16811283C2212yescomplemented
123#16811281C2212yescomplemented
124#16811281C2212yescomplemented
125#16811281C2212yescomplemented
126#16811278C2211yescharacteristic, complemented
127#16811277C2212yescomplemented
128#16811277C2212yescomplemented
129#16811277C2211yescharacteristic, complemented
130#16811272C2212yescomplemented
131#16811272C2214yescomplemented
132#16811269C2212yes—
133#16811268C2212yes—
134#16811268C2212yescomplemented
135#16811268C2212yescomplemented
136#16811266C2212yescomplemented
137#16811262C2214yescomplemented
138#16811261C2214yes—
139#16811261C2214yescomplemented
140#16811261C2212yescomplemented
141#16811258C2211yescharacteristic, complemented
142#16811257C2212yes—
143#16811253C2212yescomplemented
144#16811250C2212yescomplemented
145#16811247C2212yes—
146#16811247C2212yescomplemented
147#16811247C2214yescomplemented
148#16811246C2214yescomplemented
149#16811244C2212yescomplemented
150#16811243C2214yescomplemented
151#16811243C2214yescomplemented
152#16811242C2212yescomplemented
153#16811242C2212yescomplemented
154#16811238C2212yescomplemented
155#16811238C2212yescomplemented
156#16811237C2214yescomplemented
157#16811236C2212yescomplemented
158#16811234C2214yescomplemented
159#16811233C2214yescomplemented
160#16811231C2212yescomplemented
161#16811231C2212yescomplemented
162#16811231C2214yescomplemented
163#16811231C2212yescomplemented
164#16811227C2212yescomplemented
165#16811225C2214yescomplemented
166#16811225C2214yescomplemented
167#16811224C2212yescomplemented
168#16811224C2212yescomplemented
169#16811224C2212yescomplemented
170#16811223C2214yescomplemented
171#16811222C2214yescomplemented
172#16811222C2214yescomplemented
173#16811220C2214yescomplemented
174#16811217C2214yescomplemented
175#16811217C2214yescomplemented
176#16811217C2214yescomplemented
177#16811214C2214yescomplemented
178#16811213C2214yescomplemented
179#16811210C2214yescomplemented
180#16811210C2214yescomplemented
181#16811210C2214yescomplemented
182#16811209C2214yescomplemented
183#16811207C2214yescomplemented
184#16811207C2214yescomplemented
185#16811206C2214yescomplemented
186#16811206C2214yescomplemented
187#16811204C2212yescomplemented
188#16811201C2212yescomplemented
189#16811196C2212yescomplemented
190#16811193C2212yescomplemented
191#16811189C2212yes—
192#16811187C2214yescomplemented
193#16811186C2212yescomplemented
194#16811184C2214yescomplemented
195#16811180C2211yescharacteristic, complemented
196#16811180C2212yescomplemented
197#16811179C2211yescharacteristic, complemented
198#16811178C2211yescharacteristic, complemented
199#16811178C2211yescharacteristic, complemented
200#16811178C2212yescomplemented
201#16811177C2211yescharacteristic, complemented
202#16811175C2211yescharacteristic, complemented
203#16811172C2211yescharacteristic, complemented
204#16811171C2211yescharacteristic, complemented
205#16811171C2211yescharacteristic, complemented
206#16811170C2211yescharacteristic, complemented
207#16811169C2212yescomplemented
208#16811168C2211yescharacteristic
209#16811160C2211yescharacteristic
210#16811160C2211yescharacteristic
211#16811160C2211yescharacteristic
212#16811160C2211yescharacteristic
213#16811160C2212yescomplemented
214#16811160C2212yescomplemented
215#16811160C2211yescharacteristic, complemented
216#16811160C2211yescharacteristic, complemented
217#16811160C2212yescomplemented
218#16811160C2212yescomplemented
219#16811160C2211yescharacteristic, complemented
220#16811160C2212yescomplemented
221#16811160C2211yescharacteristic, complemented
222#16811159C2214yescomplemented
223#16811159C2212yescomplemented
224#16811158C2211yescharacteristic, complemented
225#16811157C2211yescharacteristic
226#16811157C2212yes—
227#16811156C2212yescomplemented
228#16811156C2212yescomplemented
229#16811155C2212yescomplemented
230#16811155C2212yescomplemented
231#16811155C2212yescomplemented
232#16811154C2212yescomplemented
233#16811154C2212yescomplemented
234#16811154C2212yescomplemented
235#16811153C2214yescomplemented
236#16811152C2211yescharacteristic, complemented
237#16811152C2212yescomplemented
238#16811152C2212yescomplemented
239#16811151C2212yescomplemented
240#16811150C2212yescomplemented
241#16811150C2214yescomplemented
242C2×#13133212C2212yescomplemented
243C2×#13133212C2214yescomplemented
244C2×#13133208C2212yescomplemented
245C2×#13133208C2211yescharacteristic, complemented
246C2×#13133206C2211yescharacteristic
247#124×D53C2212yescomplemented
248#16811136C2211yescharacteristic
249#16811133C2212yes—
250#16811133C2212yescomplemented
251#16811133C2211yescharacteristic, complemented
252#16811133C2212yescomplemented
253#16811133C2212yescomplemented
254#16811132C2212yescomplemented
255#16811131C2212yescomplemented
256#16811130C2212yescomplemented
257C2×#13133202C2212yescomplemented
258C2×#13133193C2211yescharacteristic, complemented
259C22⋊Q8×D53C2212yescomplemented
260C2×#13133192C2211yescharacteristic
261#121×D53C2212yes—
262#16811106C2214yescomplemented
263#16811103C2212yescomplemented
264#16811102C2212yescomplemented
265#16811102C2212yescomplemented
266#16811099C2212yescomplemented
267#16811099C2212yescomplemented
268#16811095C2214yescomplemented
269#16811095C2212yescomplemented
270#16811095C2212yescomplemented
271#41×Dic53C2212yescomplemented
272C4×#11719949C2211yescharacteristic, complemented
273#16811091C2212yescomplemented
274C4×#11719947C2212yescomplemented
275C4×#11719947C2211yescharacteristic, complemented
276C4×#11719947C2212yescomplemented
277C4×#11719947C2212yescomplemented
278C2×C4×D212C2211yescharacteristic
279C2×C4×D212C2212yescomplemented
280C2×#13133174C2212yescomplemented
281C2×C42×D53C2211yescharacteristic, complemented
282C53×#559C2212yescomplemented
283C53×#559C2211yescharacteristic, complemented
284Q82×C53C2211yescharacteristic, complemented
285C53×#554C2212yescomplemented
286C53×#554C2211yescharacteristic, complemented
287C53×#550C2211yescharacteristic, complemented
288C53×#548C2212yescomplemented
289C53×#547C2212yescomplemented
290C53×#547C2214yescomplemented
291C53×#542C2212yescomplemented
292C53×#542C2214yescomplemented
293C53×#532C2211yescharacteristic
294C53×#532C2212yescomplemented
295C53×#529C2211yescharacteristic, complemented
296C53×#529C2212yescomplemented
297C53×#520C2212yescomplemented
298C2×C4×Q8×C53C2211yescharacteristic, complemented
299C2×#11719949C2311yescharacteristic
300C2×#11719945C2312yes—
301C2×#11719945C2312yes—
302C2×#11719947C2312yes—
303C2×#11719947C2312yes—
304C2×#11719947C2312yes—
305C2×#11719947C2312yes—
306C2×#11719947C2312yes—
307C2×#11719947C2311yescharacteristic
308C2×Q8×D53C2312yes—
309C2×Q8×D53C2312yes—
310C22×D212C2311yescharacteristic
311C22×D212C2312yes—
312C2×D4×D53C2312yes—
313C2×D4×D53C2312yes—
314C2×D4×D53C2314yes—
315C22×C4×D53C2311yescharacteristic
316C22×C4×D53C2311yescharacteristic
317C22×C4×D53C2311yescharacteristic
318C22×C4×D53C2312yes—
319#13133217C2312yes—
320#13133217C2311yescharacteristic
321#13133217C2311yescharacteristic
322#13133217C2312yes—
323#13133217C2312yes—
324#13133216C2314yes—
325#13133216C2311yescharacteristic
326#13133216C2311yescharacteristic
327#13133215C2312yes—
328#13133215C2314yes—
329#13133215C2314yes—
330#13133215C2311yescharacteristic
331#13133213C2314yes—
332#13133213C2312yes—
333#13133213C2314yes—
334#13133213C2311yescharacteristic
335#13133212C2312yes—
336#13133212C2314yes—
337#13133212C2312yes—
338#13133212C2314yes—
339#13133212C2314yes—
340#13133212C2314yes—
341#13133212C2314yes—
342#13133212C2314yes—
343#13133212C2314yes—
344#13133212C2314yes—
345#13133212C2312yes—
346#13133212C2314yes—
347#13133212C2314yes—
348#13133212C2314yes—
349#13133212C2314yes—
350#13133212C2314yes—
351#13133212C2312yes—
352#13133212C2314yes—
353#13133212C2314yes—
354#13133212C2312yes—
355#13133212C2312yes—
356#13133212C2312yes—
357#13133212C2312yes—
358#13133212C2312yes—
359#13133211C2314yes—
360#13133211C2314yes—
361#13133211C2314yes—
362#13133211C2312yes—
363#13133210C2314yes—
364#13133210C2314yes—
365#13133210C2314yes—
366#13133210C2314yes—
367#13133210C2314yes—
368#13133210C2314yes—
369#13133210C2312yes—
370#13133210C2314yes—
371#13133209C2314yes—
372#13133209C2314yes—
373#13133209C2312yes—
374#13133209C2311yescharacteristic
375#13133209C2312yes—
376#13133208C2311yescharacteristic
377#13133208C2314yes—
378#13133208C2314yes—
379#13133208C2312yes—
380#13133208C2314yes—
381#13133208C2312yes—
382#13133208C2314yes—
383#13133208C2314yes—
384#13133208C2312yes—
385#13133208C2311yescharacteristic
386#13133208C2311yescharacteristic
387#13133208C2311yescharacteristic
388#13133208C2312yes—
389#13133208C2312yes—
390#13133208C2312yes—
391#13133207C2312yes—
392#13133207C2314yes—
393#13133207C2314yes—
394#13133207C2314yes—
395#13133207C2314yes—
396#13133207C2314yes—
397#13133207C2314yes—
398#13133207C2314yes—
399#13133207C2312yes—
400#13133206C2311yescharacteristic
401#13133206C2312yes—
402#13133206C2314yes—
403#13133206C2314yes—
404#13133206C2314yes—
405#13133206C2314yes—
406#13133206C2311yescharacteristic
407#13133206C2311yescharacteristic
408#13133206C2311yescharacteristic
409#13133206C2312yes—
410#13133205C2312yes—
411#13133205C2311yescharacteristic
412#13133205C2312yes—
413#13133205C2314yes—
414#13133204C2312yes—
415#13133204C2312yes—
416#13133203C2314yes—
417#13133203C2314yes—
418#13133203C2314yes—
419#13133203C2314yes—
420#13133203C2314yes—
421#13133203C2314yes—
422#13133203C2312yes—
423#13133203C2314yes—
424#13133203C2314yes—
425#13133203C2314yes—
426#13133203C2312yes—
427#13133202C2314yes—
428#13133202C2312yes—
429#13133202C2314yes—
430#13133202C2314yes—
431#13133202C2314yes—
432#13133202C2312yes—
433#13133202C2314yes—
434#13133202C2312yes—
435#13133202C2312yes—
436#13133202C2312yes—
437#13133202C2312yes—
438#13133202C2312yes—
439#13133202C2312yes—
440#13133202C2312yes—
441#13133202C2312yes—
442#13133201C2314yes—
443#13133201C2314yes—
444#13133201C2314yes—
445#13133201C2314yes—
446#13133201C2314yes—
447#13133201C2314yes—
448#13133201C2314yes—
449#13133201C2314yes—
450#13133200C2314yes—
451#13133200C2314yes—
452#13133200C2314yes—
453#13133200C2314yes—
454#13133200C2312yes—
455#13133200C2314yes—
456#13133200C2314yes—
457#13133199C2314yes—
458#13133199C2314yes—
459#13133199C2314yes—
460#13133199C2314yes—
461#13133199C2314yes—
462#13133199C2314yes—
463#13133199C2314yes—
464#13133199C2314yes—
465#13133199C2312yes—
466#13133199C2314yes—
467#13133199C2312yes—
468#13133198C2314yes—
469#13133198C2314yes—
470#13133198C2314yes—
471#13133197C2312yes—
472#13133197C2312yes—
473#13133197C2312yes—
474#13133197C2311yescharacteristic
475#13133197C2312yes—
476#13133197C2312yes—
477#13133197C2314yes—
478#13133197C2314yes—
479#13133197C2314yes—
480#13133197C2314yes—
481#13133197C2312yes—
482#13133196C2312yes—
483#13133196C2312yes—
484#13133196C2314yes—
485#13133196C2314yes—
486#13133196C2314yes—
487#13133196C2312yes—
488#13133196C2311yescharacteristic
489#13133195C2314yes—
490#13133195C2314yes—
491#13133195C2314yes—
492#13133195C2312yes—
493#13133195C2312yes—
494#13133195C2312yes—
495#13133194C2314yes—
496#13133194C2314yes—
497#13133194C2314yes—
498#13133194C2312yes—
499#13133194C2314yes—
500#13133194C2314yes—
501#13133194C2314yes—
502#13133193C2312yes—
503#13133193C2311yescharacteristic
504#13133193C2314yes—
505#13133193C2311yescharacteristic
506#13133193C2311yescharacteristic
507#13133193C2314yes—
508#13133193C2312yes—
509#13133193C2314yes—
510#13133193C2314yes—
511#13133193C2312yes—
512#13133193C2312yes—
513#13133193C2311yescharacteristic
514#13133193C2311yescharacteristic
515#13133193C2312yes—
516#13133193C2312yes—
517#13133192C2311yescharacteristic
518#13133192C2311yescharacteristic
519#13133192C2312yes—
520#13133192C2312yes—
521#13133192C2314yes—
522#13133192C2311yescharacteristic
523#13133192C2314yes—
524#13133192C2312yes—
525#13133192C2311yescharacteristic
526#13133192C2311yescharacteristic
527#13133192C2312yes—
528#13133191C2314yes—
529#13133191C2314yes—
530#13133191C2314yes—
531#13133191C2312yes—
532#13133191C2314yes—
533#13133191C2314yes—
534#13133191C2314yes—
535#13133191C2314yes—
536#13133191C2311yescharacteristic
537#13133190C2314yes—
538#13133190C2314yes—
539#13133190C2314yes—
540#13133190C2314yes—
541#13133190C2314yes—
542#13133190C2314yes—
543#13133190C2314yes—
544#13133190C2312yes—
545#13133190C2312yes—
546#13133190C2312yes—
547#13133189C2314yes—
548#13133189C2314yes—
549#13133189C2314yes—
550#13133189C2314yes—
551#13133189C2314yes—
552#13133189C2314yes—
553#13133189C2314yes—
554#13133189C2314yes—
555#13133189C2312yes—
556#13133189C2314yes—
557#13133189C2314yes—
558#13133188C2312yes—
559#13133188C2312yes—
560#13133188C2312yes—
561#13133188C2312yes—
562#13133188C2311yescharacteristic
563#13133188C2312yes—
564#13133188C2312yes—
565#13133188C2312yes—
566#13133188C2312yes—
567#13133187C2314yes—
568#13133187C2314yes—
569#13133187C2314yes—
570#13133187C2312yes—
571#13133185C2314yes—
572#13133185C2314yes—
573#13133185C2314yes—
574#13133185C2314yes—
575#13133185C2314yes—
576#13133185C2314yes—
577#13133185C2312yes—
578Q8×Dic53C2312yes—
579Q8×Dic53C2312yes—
580Q8×Dic53C2314yes—
581Q8×Dic53C2314yes—
582Q8×Dic53C2311yescharacteristic
583Q8×Dic53C2312yes—
584C4×Dic106C2312yes—
585C4×Dic106C2312yes—
586C4×Dic106C2312yes—
587C4×Dic106C2311yescharacteristic
588C4×Dic106C2312yes—
589C4×Dic106C2312yes—
590C4×Dic106C2314yes—
591C4×Dic106C2314yes—
592C4×Dic106C2312yes—
593C4×Dic106C2312yes—
594#13133182C2312yes—
595#13133182C2312yes—
596#13133182C2312yes—
597#13133182C2314yes—
598#13133182C2314yes—
599#13133182C2312yes—
600#13133182C2312yes—
601#13133182C2311yescharacteristic
602#13133182C2312yes—
603C4×D212C2312yes—
604C4×D212C2312yes—
605C4×D212C2312yes—
606C4×D212C2312yes—
607C4×D212C2312yes—
608C4×D212C2312yes—
609C4×D212C2312yes—
610C4×D212C2311yescharacteristic
611C4×D212C2311yescharacteristic
612C4×D212C2312yes—
613C4×D212C2314yes—
614C4×D212C2311yescharacteristic
615C4×D212C2312yes—
616C4×D212C2312yes—
617C4×D212C2312yes—
618C4×D212C2312yes—
619C4×D212C2311yescharacteristic
620C4×D212C2311yescharacteristic
621C4×D212C2312yes—
622D4×Dic53C2312yes—
623D4×Dic53C2314yes—
624D4×Dic53C2314yes—
625D4×Dic53C2314yes—
626D4×Dic53C2312yes—
627D4×Dic53C2314yes—
628D4×Dic53C2314yes—
629D4×Dic53C2312yes—
630D4×Dic53C2312yes—
631D4×Dic53C2311yescharacteristic
632D4×Dic53C2312yes—
633D4×Dic53C2314yes—
634D4×Dic53C2312yes—
635#13133179C2314yes—
636#13133179C2312yes—
637#13133179C2312yes—
638#13133179C2312yes—
639#13133179C2311yescharacteristic
640#13133179C2312yes—
641C4×C22⋊D53C2312yes—
642C4×C22⋊D53C2314yes—
643C4×C22⋊D53C2312yes—
644C4×C22⋊D53C2314yes—
645C4×C22⋊D53C2312yes—
646C4×C22⋊D53C2314yes—
647C4×C22⋊D53C2314yes—
648C4×C22⋊D53C2314yes—
649C4×C22⋊D53C2314yes—
650C4×C22⋊D53C2314yes—
651C4×C22⋊D53C2314yes—
652#13133177C2314yes—
653#13133177C2314yes—
654#13133177C2314yes—
655#13133177C2314yes—
656#13133177C2312yes—
657#13133177C2314yes—
658#13133177C2312yes—
659#13133177C2314yes—
660#13133177C2314yes—
661#13133177C2312yes—
662#13133177C2314yes—
663#13133177C2312yes—
664#13133177C2312yes—
665#13133177C2312yes—
666#13133177C2314yes—
667#13133177C2312yes—
668#13133176C2312yes—
669#13133176C2314yes—
670#13133176C2314yes—
671#13133176C2314yes—
672#13133176C2314yes—
673#13133175C2312yes—
674#13133175C2314yes—
675#13133175C2314yes—
676#13133175C2314yes—
677#13133175C2314yes—
678#13133175C2312yes—
679#13133175C2312yes—
680#13133175C2312yes—
681#13133175C2311yescharacteristic
682#13133175C2312yes—
683#13133175C2312yes—
684#13133175C2312yes—
685#13133175C2312yes—
686#13133175C2311yescharacteristic
687#13133174C2314yes—
688#13133174C2314yes—
689#13133174C2312yes—
690#13133174C2314yes—
691#13133174C2312yes—
692#13133174C2312yes—
693#13133174C2312yes—
694#13133174C2312yes—
695#13133174C2312yes—
696#13133174C2312yes—
697#13133174C2312yes—
698#13133174C2312yes—
699#13133174C2312yes—
700#13133173C2314yes—
701#13133173C2314yes—
702#13133173C2312yes—
703#13133173C2314yes—
704#13133173C2312yes—
705#13133173C2312yes—
706#13133173C2314yes—
707C2×C4⋊Dic53C2314yes—
708C2×C4⋊Dic53C2314yes—
709C2×C4⋊Dic53C2312yes—
710C2×C4⋊Dic53C2311yescharacteristic
711C2×C4⋊Dic53C2312yes—
712C2×#11719919C2312yes—
713C2×#11719919C2314yes—
714C2×#11719919C2314yes—
715C2×#11719919C2312yes—
716C4⋊C4×D53C2312yes—
717C4⋊C4×D53C2314yes—
718C4⋊C4×D53C2312yes—
719C2×#11719921C2314yes—
720C2×#11719921C2314yes—
721C2×#11719921C2314yes—
722C2×#11719921C2312yes—
723C2×#11719921C2312yes—
724C2×#11719921C2312yes—
725C2×#11719921C2312yes—
726C2×#11719921C2312yes—
727C22⋊C4×D53C2314yes—
728C22⋊C4×D53C2314yes—
729C22⋊C4×D53C2314yes—
730C22⋊C4×D53C2314yes—
731C2×C4×Dic53C2311yescharacteristic
732C2×C4×Dic53C2311yescharacteristic
733C2×C4×Dic53C2311yescharacteristic
734C2×C4×Dic53C2312yes—
735C2×C4×Dic53C2314yes—
736C42×D53C2311yescharacteristic
737C42×D53C2311yescharacteristic
738C42×D53C2311yescharacteristic
739C42×D53C2311yescharacteristic
740C42×D53C2311yescharacteristic
741C42×D53C2311yescharacteristic
742C42×D53C2311yescharacteristic
743C42×D53C2311yescharacteristic
744C42×D53C2312yes—
745C2×#41×C53C2312yes—
746C2×#41×C53C2314yes—
747C2×#41×C53C2312yes—
748C22×Q8×C53C2311yescharacteristic
749C4⋊Q8×C53C2311yescharacteristic
750C4⋊Q8×C53C2312yes—
751C4⋊Q8×C53C2312yes—
752C4⋊Q8×C53C2314yes—
753#127×C53C2312yes—
754#127×C53C2311yescharacteristic
755#126×C53C2314yes—
756#126×C53C2312yes—
757#125×C53C2311yescharacteristic
758#125×C53C2312yes—
759#124×C53C2312yes—
760#124×C53C2311yescharacteristic
761#124×C53C2312yes—
762#124×C53C2314yes—
763#124×C53C2312yes—
764#124×C53C2314yes—
765#123×C53C2312yes—
766#123×C53C2314yes—
767#123×C53C2314yes—
768#123×C53C2314yes—
769#123×C53C2314yes—
770C22⋊Q8×C53C2312yes—
771C22⋊Q8×C53C2314yes—
772C22⋊Q8×C53C2314yes—
773C22⋊Q8×C53C2311yescharacteristic
774C22⋊Q8×C53C2314yes—
775C22⋊Q8×C53C2314yes—
776#121×C53C2312yes—
777#121×C53C2312yes—
778#121×C53C2311yescharacteristic
779#121×C53C2312yes—
780#121×C53C2314yes—
781#121×C53C2314yes—
782C4×Q8×C53C2312yes—
783C4×Q8×C53C2311yescharacteristic
784C4×Q8×C53C2311yescharacteristic
785C4×Q8×C53C2311yescharacteristic
786C4×Q8×C53C2311yescharacteristic
787C4×Q8×C53C2312yes—
788C4×Q8×C53C2311yescharacteristic
789C4×Q8×C53C2312yes—
790C4×Q8×C53C2312yes—
791C4×D4×C53C2312yes—
792C4×D4×C53C2312yes—
793C4×D4×C53C2312yes—
794C4×D4×C53C2312yes—
795C4×D4×C53C2311yescharacteristic
796C4×D4×C53C2312yes—
797C4×D4×C53C2312yes—
798C4×D4×C53C2314yes—
799C4×D4×C53C2312yes—
800C4×D4×C53C2314yes—
801C4×D4×C53C2314yes—
802#117×C53C2314yes—
803#117×C53C2312yes—
804C2×C4⋊C4×C53C2311yescharacteristic
805C2×C4⋊C4×C53C2312yes—
806C2×C4⋊C4×C53C2312yes—
807C2×C4⋊C4×C53C2314yes—
808C2×C42×C53C2311yescharacteristic
809C2×C42×C53C2312yes—
810C23×D53C2412yes—
811C23×D53C2411yescharacteristic
812C23×D53C2414yes—
813#41×C53—44no—
814#41×C53—48no—
815#41×C53—44no—
816C2×Q8×C53—42no—
817C2×Q8×C53C2411yescharacteristic
818C2×Q8×C53C2411yescharacteristic
819C2×Q8×C53C2411yescharacteristic
820C2×Q8×C53C2412yes—
821C2×Q8×C53C2412yes—
822C2×Q8×C53C2414yes—
823C2×D4×C53C2412yes—
824C2×D4×C53C2411yescharacteristic
825C2×D4×C53C2412yes—
826C2×D4×C53C2412yes—
827C2×D4×C53C2414yes—
828C2×D4×C53C2414yes—
829C2×D4×C53C2412yes—
830C2×D4×C53C2414yes—
831C22×C4×C53C2411yescharacteristic
832C22×C4×C53C2411yescharacteristic
833C22×C4×C53C2412yes—
834C22×C4×C53C2411yescharacteristic
835C22×C4×C53C2412yes—
836C22×C4×C53C2412yes—
837C22×C4×C53C2414yes—
838C22×C4×C53C2414yes—
839C22×C4×C53C2414yes—
840C22×C4×C53C2414yes—
841C2×C22⋊D53C2412yes—
842C2×C22⋊D53C2412yes—
843C2×C22⋊D53C2414yes—
844C2×C22⋊D53C2412yes—
845C2×C22⋊D53C2414yes—
846C2×C22⋊D53C2414yes—
847C2×C22⋊D53C2412yes—
848C2×C22⋊D53C2414yes—
849C2×C22⋊D53C2414yes—
850C2×C22⋊D53C2414yes—
851C2×C22⋊D53C2414yes—
852C2×C22⋊D53C2412yes—
853C2×C22⋊D53C2414yes—
854C22×Dic53C2411yescharacteristic
855C22×Dic53C2411yescharacteristic
856C22×Dic53C2411yescharacteristic
857C22×Dic53C2414yes—
858C22×Dic53C2414yes—
859C22×Dic53C2412yes—
860C22×Dic53C2412yes—
861C22×Dic53C2412yes—
862C22×Dic53C2414yes—
863C22×Dic53C2414yes—
864#11719949—42no—
865Q8×D53—44no—
866Q8×D53—44no—
867#11719947—44no—
868#11719947—44no—
869#11719947—42no—
870#11719947—44no—
871#11719947—44no—
872#11719947—44no—
873D4×D53—44no—
874D4×D53—44no—
875D4×D53—48no—
876#11719945—44no—
877#11719945—44no—
878C2×D212—42no—
879C2×D212—44no—
880C2×D212C2411yescharacteristic
881C2×D212C2411yescharacteristic
882C2×D212C2411yescharacteristic
883C2×D212C2412yes—
884C2×D212C2412yes—
885C2×D212C2414yes—
886C2×D212C2412yes—
887C2×D212C2412yes—
888C2×D212C2412yes—
889C2×D212C2412yes—
890C2×D212C2412yes—
891C2×C4×D53—42no—
892C2×C4×D53—44no—
893C2×C4×D53—42no—
894C2×C4×D53—42no—
895C2×C4×D53C2411yescharacteristic
896C2×C4×D53C2411yescharacteristic
897C2×C4×D53C2411yescharacteristic
898C2×C4×D53C2411yescharacteristic
899C2×C4×D53C2412yes—
900C2×C4×D53C2412yes—
901C2×C4×D53C2412yes—
902C2×C4×D53C2411yescharacteristic
903C2×C4×D53C2411yescharacteristic
904C2×C4×D53C2411yescharacteristic
905C2×C4×D53C2411yescharacteristic
906C2×C4×D53C2411yescharacteristic
907C2×C4×D53C2411yescharacteristic
908C2×C4×D53C2411yescharacteristic
909C2×C4×D53C2411yescharacteristic
910C2×C4×D53C2412yes—
911C2×C4×D53C2412yes—
912C2×C4×D53C2412yes—
913C2×C4×D53C2414yes—
914C2×C4×D53C2414yes—
915C2×C4×D53C2414yes—
916C2×C4×D53C2414yes—
917C2×C4×D53C2412yes—
918C2×Dic106C2412yes—
919C2×Dic106C2412yes—
920C2×Dic106C2411yescharacteristic
921C2×Dic106C2412yes—
922C2×Dic106C2414yes—
923C2×Dic106C2414yes—
924C2×Dic106C2412yes—
925C4⋊C4×C53C2411yescharacteristic
926C4⋊C4×C53C2412yes—
927C4⋊C4×C53C2412yes—
928C4⋊C4×C53C2414yes—
929C4⋊C4×C53C2412yes—
930C4⋊C4×C53C2414yes—
931C4⋊C4×C53C2411yescharacteristic
932C4⋊C4×C53C2412yes—
933C4⋊C4×C53C2412yes—
934C4⋊C4×C53C2412yes—
935C4⋊C4×C53C2412yes—
936C4⋊C4×C53C2412yes—
937C4⋊C4×C53C2411yescharacteristic
938C4⋊C4×C53C2412yes—
939C4⋊C4×C53C2411yescharacteristic
940C4⋊C4×C53C2414yes—
941C4⋊C4×C53C2412yes—
942C4⋊C4×C53C2412yes—
943C4⋊C4×C53C2414yes—
944C22⋊C4×C53C2414yes—
945C22⋊C4×C53C2412yes—
946C22⋊C4×C53C2412yes—
947C22⋊C4×C53C2414yes—
948C22⋊C4×C53C2412yes—
949C22⋊C4×C53C2414yes—
950C22⋊C4×C53C2412yes—
951C22⋊C4×C53C2414yes—
952C22⋊C4×C53C2414yes—
953C22⋊C4×C53C2414yes—
954C22⋊C4×C53C2414yes—
955C22⋊C4×C53C2412yes—
956C42×C53C2411yescharacteristic
957C42×C53C2412yes—
958C42×C53C2411yescharacteristic
959C42×C53C2412yes—
960C42×C53C2411yescharacteristic
961C42×C53C2412yes—
962C42×C53C2411yescharacteristic
963C42×C53C2412yes—
964C42×C53C2412yes—
965C42×C53C2414yes—
966C22⋊Dic53C2414yes—
967C22⋊Dic53C2414yes—
968C22⋊Dic53C2414yes—
969C22⋊Dic53C2414yes—
970C22⋊Dic53C2412yes—
971C22⋊Dic53C2412yes—
972C22⋊Dic53C2412yes—
973C22⋊Dic53C2414yes—
974C22⋊Dic53C2414yes—
975C22⋊Dic53C2414yes—
976C22⋊Dic53C2414yes—
977#11719921C2412yes—
978#11719921C2412yes—
979#11719921C2412yes—
980#11719921C2414yes—
981#11719921C2414yes—
982#11719921C2414yes—
983#11719921C2414yes—
984#11719921C2412yes—
985#11719921C2412yes—
986#11719921C2412yes—
987#11719921C2412yes—
988#11719921C2412yes—
989#11719921C2412yes—
990#11719921C2412yes—
991#11719921C2412yes—
992#11719921C2412yes—
993#11719921C2412yes—
994#11719921C2412yes—
995#11719921C2412yes—
996#11719921C2412yes—
997#11719921C2412yes—
998#11719921C2414yes—
999#11719921C2412yes—
1000#11719921C2414yes—
1001#11719921C2414yes—
1002#11719921C2412yes—
1003#11719921C2412yes—
1004#11719921C2412yes—
1005#11719921C2412yes—
1006#11719921C2412yes—
1007#11719921C2412yes—
1008#11719921C2414yes—
1009#11719921C2414yes—
1010#11719921C2412yes—
1011#11719921C2412yes—
1012#11719921C2414yes—
1013#11719921C2414yes—
1014#11719921C2412yes—
1015#11719921C2412yes—
1016#11719921C2414yes—
1017#11719921C2412yes—
1018#11719921C2412yes—
1019C4⋊Dic53C2411yescharacteristic
1020C4⋊Dic53C2414yes—
1021C4⋊Dic53C2412yes—
1022C4⋊Dic53C2412yes—
1023C4⋊Dic53C2412yes—
1024C4⋊Dic53C2411yescharacteristic
1025C4⋊Dic53C2412yes—
1026C4⋊Dic53C2414yes—
1027C4⋊Dic53C2411yescharacteristic
1028C4⋊Dic53C2412yes—
1029C4⋊Dic53C2414yes—
1030C4⋊Dic53C2412yes—
1031C4⋊Dic53C2412yes—
1032C4⋊Dic53C2414yes—
1033C4⋊Dic53C2414yes—
1034C4⋊Dic53C2412yes—
1035C4⋊Dic53C2411yescharacteristic
1036C4⋊Dic53C2412yes—
1037C4⋊Dic53C2414yes—
1038C4⋊Dic53C2414yes—
1039C4⋊Dic53C2412yes—
1040C4⋊Dic53C2412yes—
1041C4⋊Dic53C2414yes—
1042#11719919C2414yes—
1043#11719919C2414yes—
1044#11719919C2414yes—
1045#11719919C2414yes—
1046#11719919C2412yes—
1047#11719919C2412yes—
1048#11719919C2412yes—
1049#11719919C2412yes—
1050#11719919C2412yes—
1051#11719919C2414yes—
1052#11719919C2412yes—
1053#11719919C2412yes—
1054#11719919C2412yes—
1055#11719919C2412yes—
1056#11719919C2414yes—
1057#11719919C2414yes—
1058#11719919C2412yes—
1059#11719919C2412yes—
1060#11719919C2414yes—
1061#11719919C2412yes—
1062#11719919C2412yes—
1063#11719919C2414yes—
1064#11719919C2412yes—
1065#11719919C2412yes—
1066#11719919C2412yes—
1067#11719919C2412yes—
1068#11719919C2412yes—
1069#11719919C2414yes—
1070#11719919C2414yes—
1071#11719919C2414yes—
1072C4×Dic53C2411yescharacteristic
1073C4×Dic53C2411yescharacteristic
1074C4×Dic53C2411yescharacteristic
1075C4×Dic53C2411yescharacteristic
1076C4×Dic53C2411yescharacteristic
1077C4×Dic53C2411yescharacteristic
1078C4×Dic53C2411yescharacteristic
1079C4×Dic53C2411yescharacteristic
1080C4×Dic53C2411yescharacteristic
1081C4×Dic53C2411yescharacteristic
1082C4×Dic53C2411yescharacteristic
1083C4×Dic53C2411yescharacteristic
1084C4×Dic53C2412yes—
1085C4×Dic53C2412yes—
1086C4×Dic53C2412yes—
1087C4×Dic53C2414yes—
1088C4×Dic53C2414yes—
1089C4×Dic53C2412yes—
1090C4×Dic53C2412yes—
1091C4×Dic53C2414yes—
1092C4×Dic53C2414yes—
1093C4×Dic53C2414yes—
1094C4×Dic53C2414yes—
1095C4×Dic53C2414yes—
1096C4×Dic53C2414yes—
1097C23×C53C2512yes—
1098C23×C53C2514yes—
1099C23×C53C2511yescharacteristic
1100C22×D53—22no—
1101C22×D53—24no—
1102C22×D53—41no—
1103C22×D53—41no—
1104C22×D53—42no—
1105C22×D53—42no—
1106C22×D53—44no—
1107C22×D53—44no—
1108C22×D53—44no—
1109C22×D53C2512yes—
1110C22×D53C2511yescharacteristic
1111C22×D53C2511yescharacteristic
1112C22×D53C2512yes—
1113C22×D53C2512yes—
1114Q8×C53—22no—
1115Q8×C53—22no—
1116Q8×C53—22no—
1117Q8×C53—42no—
1118Q8×C53—44no—
1119Q8×C53—42no—
1120D4×C53—28no—
1121D4×C53—24no—
1122D4×C53—24no—
1123D4×C53—24no—
1124D4×C53—22no—
1125D4×C53—42no—
1126D4×C53—44no—
1127D4×C53—44no—
1128C2×C4×C53—22no—
1129C2×C4×C53—24no—
1130C2×C4×C53—22no—
1131C2×C4×C53—22no—
1132C2×C4×C53—24no—
1133C2×C4×C53—42no—
1134C2×C4×C53—44no—
1135C2×C4×C53—44no—
1136C2×C4×C53—44no—
1137C2×C4×C53—44no—
1138C2×C4×C53C2512yes—
1139C2×C4×C53C2512yes—
1140C2×C4×C53C2512yes—
1141C2×C4×C53C2512yes—
1142C2×C4×C53C2511yescharacteristic
1143C2×C4×C53C2511yescharacteristic
1144C2×C4×C53C2511yescharacteristic
1145C2×C4×C53C2511yescharacteristic
1146C2×C4×C53C2514yes—
1147C2×C4×C53C2512yes—
1148C2×C4×C53C2512yes—
1149C2×C4×C53C2512yes—
1150C2×C4×C53C2511yescharacteristic
1151C2×C4×C53C2511yescharacteristic
1152C22⋊D53—24no—
1153C22⋊D53—44no—
1154C22⋊D53—42no—
1155C22⋊D53—42no—
1156C22⋊D53—44no—
1157C22⋊D53—44no—
1158C22⋊D53—44no—
1159C22⋊D53—44no—
1160C22⋊D53—44no—
1161C22⋊D53—44no—
1162C22⋊D53—44no—
1163C22⋊D53—42no—
1164C22⋊D53—42no—
1165C2×Dic53—22no—
1166C2×Dic53—42no—
1167C2×Dic53—41no—
1168C2×Dic53—41no—
1169C2×Dic53—44no—
1170C2×Dic53—44no—
1171C2×Dic53—44no—
1172C2×Dic53—44no—
1173C2×Dic53—42no—
1174C2×Dic53—42no—
1175C2×Dic53C2512yes—
1176C2×Dic53C2512yes—
1177C2×Dic53C2511yescharacteristic
1178C2×Dic53C2514yes—
1179C2×Dic53C2511yescharacteristic
1180C2×Dic53C2514yes—
1181C2×Dic53C2512yes—
1182C2×Dic53C2512yes—
1183C2×Dic53C2511yescharacteristic
1184C2×Dic53C2511yescharacteristic
1185C2×Dic53C2511yescharacteristic
1186C2×Dic53C2511yescharacteristic
1187C2×Dic53C2512yes—
1188D212—22no—
1189D212—22no—
1190D212—22no—
1191D212—42no—
1192D212—42no—
1193D212—42no—
1194D212—42no—
1195D212—42no—
1196D212—42no—
1197D212—44no—
1198D212—42no—
1199C4×D53—22no—
1200C4×D53—24no—
1201C4×D53—22no—
1202C4×D53—22no—
1203C4×D53—24no—
1204C4×D53—22no—
1205C4×D53—24no—
1206C4×D53—42no—
1207C4×D53—41no—
1208C4×D53—41no—
1209C4×D53—41no—
1210C4×D53—41no—
1211C4×D53—41no—
1212C4×D53—41no—
1213C4×D53—42no—
1214C4×D53—41no—
1215C4×D53—41no—
1216C4×D53—44no—
1217C4×D53—44no—
1218C4×D53—42no—
1219C4×D53—44no—
1220C4×D53—44no—
1221C4×D53—42no—
1222Dic106—24no—
1223Dic106—22no—
1224Dic106—24no—
1225Dic106—42no—
1226Dic106—42no—
1227Dic106—44no—
1228Dic106—44no—
1229#62827—531nomaximal, Sylow
1230C22×C53—21no—
1231C22×C53—21no—
1232C22×C53—22no—
1233C22×C53—24no—
1234C22×C53—24no—
1235C22×C53—22no—
1236C22×C53—22no—
1237C22×C53—24no—
1238C22×C53#58512yes—
1239C22×C53C2611yescharacteristic
1240C2×D53—22no—
1241C2×D53—22no—
1242C2×D53—21no—
1243C2×D53—21no—
1244C2×D53—21no—
1245C2×D53—21no—
1246C2×D53—22no—
1247C2×D53—22no—
1248C2×D53—21no—
1249C2×D53—21no—
1250C2×D53—22no—
1251C2×D53—22no—
1252C2×D53—22no—
1253C2×D53—22no—
1254C2×D53—22no—
1255C2×D53—44no—
1256C2×D53—84no—
1257C2×D53—164no—
1258C4×C53—22no—
1259C4×C53—22no—
1260C4×C53—22no—
1261C4×C53—22no—
1262C4×C53—21no—
1263C4×C53—21no—
1264C4×C53—21no—
1265C4×C53—21no—
1266C4×C53—24no—
1267C4×C53—22no—
1268C4×C53—22no—
1269C4×C53—22no—
1270C4×C53#58512yes—
1271C4×C53#58512yes—
1272Dic53—24no—
1273Dic53—24no—
1274Dic53—22no—
1275Dic53—22no—
1276Dic53—22no—
1277Dic53—21no—
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#3523—531no—
1299#3522D5311yescharacteristic, complemented
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—531no—
1310#3514—532no—
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—44no—
1322C2×C53—42no—
1323C2×C53C2×#58511yescharacteristic
1324C2×C53C2×#58511yescharacteristic
1325C2×C53C2×#58511yescharacteristic
1326D53—41no—
1327D53—41no—
1328D53—42no—
1329D53—42no—
1330D53—42no—
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—532no—
1342#559—534no—
1343#559C2×D5311yescharacteristic, complemented
1344#559C2×D5312yescomplemented
1345Q82C2×D5311yescharacteristic, complemented
1346#557—532no—
1347#557—531no—
1348#557—532no—
1349#557—531no—
1350#556—532no—
1351#556—532no—
1352#556—534no—
1353#556—534no—
1354#556—534no—
1355#556—532no—
1356#556—531no—
1357#556—532no—
1358#556—531no—
1359#556—532no—
1360#555—531no—
1361#555—532no—
1362#555—534no—
1363#555—534no—
1364#555—532no—
1365#555—532no—
1366#554—531no—
1367#554—532no—
1368#554—532no—
1369#554—534no—
1370#554C2×D5311yescharacteristic, complemented
1371#554C2×D5312yescomplemented
1372#553—534no—
1373#553—532no—
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—534no—
1383#553—532no—
1384#553—532no—
1385#553—534no—
1386#553—532no—
1387#553—534no—
1388#552—534no—
1389#552—532no—
1390#552—532no—
1391#552—534no—
1392#552—534no—
1393#552—534no—
1394#552—534no—
1395#552—532no—
1396#552—532no—
1397#552—534no—
1398#552—534no—
1399#552—534no—
1400#552—532no—
1401#552—532no—
1402#552—534no—
1403#551—534no—
1404#551—534no—
1405#551—534no—
1406#551—534no—
1407#551—534no—
1408#551—534no—
1409#551—534no—
1410#551—534no—
1411#551—534no—
1412#551—534no—
1413#551—534no—
1414#550—532no—
1415#550—532no—
1416#550—531no—
1417#550—532no—
1418#550C2×D5311yescharacteristic, complemented
1419D4×Q8—532no—
1420D4×Q8—531no—
1421D4×Q8—531no—
1422#548—532no—
1423#548—532no—
1424#548—532no—
1425#548—532no—
1426#548—532no—
1427#548C2×D5312yescomplemented
1428#547—534no—
1429#547—532no—
1430#547—532no—
1431#547—532no—
1432#547—531no—
1433#547—531no—
1434#547C2×D5312yescomplemented
1435#547C2×D5314yescomplemented
1436#546—534no—
1437#546—532no—
1438#546—534no—
1439#546—532no—
1440#546—534no—
1441#546—532no—
1442#546—532no—
1443#546—532no—
1444#546—532no—
1445D42—531no—
1446D42—532no—
1447#544—532no—
1448#544—532no—
1449#542—532no—
1450#542—532no—
1451#542—534no—
1452#542—532no—
1453#542—532no—
1454#542—534no—
1455#542—534no—
1456#542—534no—
1457#542—534no—
1458#542—532no—
1459#542—532no—
1460#542—532no—
1461#542C2×D5312yescomplemented
1462#542C2×D5314yescomplemented
1463#541—534no—
1464#541—532no—
1465#541—534no—
1466#541—532no—
1467#541—532no—
1468#541—532no—
1469#541—534no—
1470#540—532no—
1471#540—534no—
1472#540—534no—
1473#540—534no—
1474#540—532no—
1475#540—532no—
1476#540—532no—
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—534no—
1498#535—532no—
1499#535—532no—
1500#534—534no—
1501#533—531no—
1502#533—531no—
1503#533—532no—
1504#533—531no—
1505#533—531no—
1506#533—531no—
1507#533—531no—
1508#533—532no—
1509#532—532no—
1510#532—531no—
1511#532—531no—
1512#532—531no—
1513#532—531no—
1514#532—531no—
1515#532C2×D5311yescharacteristic
1516#532C2×D5312yescomplemented
1517#529—532no—
1518#529—532no—
1519#529—531no—
1520#529—531no—
1521#529—532no—
1522#529—532no—
1523#529—532no—
1524#529—534no—
1525#529—532no—
1526#529—534no—
1527#529—532no—
1528#529—532no—
1529#529—532no—
1530#529—531no—
1531#529—531no—
1532#529—531no—
1533#529—531no—
1534#529—531no—
1535#529—531no—
1536#529—532no—
1537#529—531no—
1538#529—531no—
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—532no—
1548#529—531no—
1549#529—532no—
1550#529C2×D5311yescharacteristic, complemented
1551#529C2×D5312yescomplemented
1552C2×#126—532no—
1553C2×#126—534no—
1554C2×#125—531no—
1555C2×#125—532no—
1556C2×#124—531no—
1557C2×#124—532no—
1558#525—532no—
1559#525—532no—
1560#525—531no—
1561#525—532no—
1562#525—531no—
1563#525—532no—
1564#525—532no—
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—534no—
1573#520—532no—
1574#520—532no—
1575#520—532no—
1576#520C2×D5312yescomplemented
1577#519—532no—
1578#519—532no—
1579#518—532no—
1580#518—534no—
1581#518—532no—
1582C4×#41—532no—
1583C4×#41—531no—
1584C4×#41—532no—
1585C4×#41—531no—
1586C4×#41—532no—
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—531no—
1596C2×#41—532no—
1597C2×#41—532no—
1598C2×#41—532no—
1599C2×#41—531no—
1600C2×#41—532no—
1601C2×#41—532no—
1602C2×#41—532no—
1603C2×#41—532no—
1604C2×#41C22×D5312yes—
1605C2×#41C22×D5314yes—
1606C2×#41C22×D5312yes—
1607C22×Q8—532no—
1608C22×Q8—532no—
1609C22×Q8C22×D5311yescharacteristic
1610C22×D4—534no—
1611C22×D4—532no—
1612C22×D4—532no—
1613C22×D4—532no—
1614C22×D4—531no—
1615C23×C4—532no—
1616C23×C4—531no—
1617C23×C4—531no—
1618C23×C4—531no—
1619C4⋊Q8—531no—
1620C4⋊Q8—532no—
1621C4⋊Q8—534no—
1622C4⋊Q8—534no—
1623C4⋊Q8—531no—
1624C4⋊Q8—531no—
1625C4⋊Q8—534no—
1626C4⋊Q8—531no—
1627C4⋊Q8—531no—
1628C4⋊Q8—532no—
1629C4⋊Q8—532no—
1630C4⋊Q8—532no—
1631C4⋊Q8C22×D5311yescharacteristic
1632C4⋊Q8C22×D5312yes—
1633C4⋊Q8C22×D5312yes—
1634C4⋊Q8C22×D5314yes—
1635#127—531no—
1636#127—532no—
1637#127—534no—
1638#127—534no—
1639#127C22×D5311yescharacteristic
1640#127C22×D5312yes—
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—532no—
1650#126—534no—
1651#126—534no—
1652#126—534no—
1653#126—534no—
1654#126—534no—
1655#126—534no—
1656#126—534no—
1657#126—534no—
1658#126—534no—
1659#126—534no—
1660#126—534no—
1661#126—534no—
1662#126—534no—
1663#126—534no—
1664#126—534no—
1665#126—532no—
1666#126—534no—
1667#126—534no—
1668#126—534no—
1669#126—534no—
1670#126—534no—
1671#126—534no—
1672#126—534no—
1673#126—532no—
1674#126—534no—
1675#126—534no—
1676#126—534no—
1677#126C22×D5312yes—
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—532no—
1692#125—532no—
1693#125—534no—
1694#125—534no—
1695#125—534no—
1696#125—534no—
1697#125—534no—
1698#125—534no—
1699#125—534no—
1700#125—534no—
1701#125—534no—
1702#125—534no—
1703#125—532no—
1704#125—531no—
1705#125—532no—
1706#125—534no—
1707#125—534no—
1708#125C22×D5311yescharacteristic
1709#125C22×D5312yes—
1710#124—531no—
1711#124—531no—
1712#124—532no—
1713#124—531no—
1714#124—531no—
1715#124—532no—
1716#124—534no—
1717#124—534no—
1718#124—534no—
1719#124—534no—
1720#124—532no—
1721#124—532no—
1722#124—534no—
1723#124—534no—
1724#124—532no—
1725#124—532no—
1726#124—534no—
1727#124—534no—
1728#124—534no—
1729#124—534no—
1730#124—534no—
1731#124—534no—
1732#124—534no—
1733#124—532no—
1734#124—531no—
1735#124—532no—
1736#124—534no—
1737#124C22×D5312yes—
1738#124C22×D5312yes—
1739#124C22×D5311yescharacteristic
1740#124C22×D5312yes—
1741#124C22×D5314yes—
1742#124C22×D5314yes—
1743#123—534no—
1744#123—534no—
1745#123—534no—
1746#123—532no—
1747#123—534no—
1748#123—534no—
1749#123—534no—
1750#123—534no—
1751#123—534no—
1752#123—534no—
1753#123—532no—
1754#123—532no—
1755#123—532no—
1756#123—532no—
1757#123—532no—
1758#123—532no—
1759#123—532no—
1760#123—532no—
1761#123—532no—
1762#123—532no—
1763#123—534no—
1764#123—534no—
1765#123—534no—
1766#123—534no—
1767#123—534no—
1768#123—532no—
1769#123—534no—
1770#123—532no—
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—534no—
1783#123—534no—
1784#123—534no—
1785#123—534no—
1786#123—534no—
1787#123C22×D5312yes—
1788#123C22×D5314yes—
1789#123C22×D5314yes—
1790#123C22×D5314yes—
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—534no—
1804C22⋊Q8—534no—
1805C22⋊Q8—534no—
1806C22⋊Q8—534no—
1807C22⋊Q8—532no—
1808C22⋊Q8—531no—
1809C22⋊Q8—532no—
1810C22⋊Q8—532no—
1811C22⋊Q8—534no—
1812C22⋊Q8—534no—
1813C22⋊Q8—534no—
1814C22⋊Q8—534no—
1815C22⋊Q8—532no—
1816C22⋊Q8—532no—
1817C22⋊Q8—532no—
1818C22⋊Q8—531no—
1819C22⋊Q8—532no—
1820C22⋊Q8—532no—
1821C22⋊Q8—532no—
1822C22⋊Q8—532no—
1823C22⋊Q8—532no—
1824C22⋊Q8—532no—
1825C22⋊Q8—534no—
1826C22⋊Q8—534no—
1827C22⋊Q8—534no—
1828C22⋊Q8—534no—
1829C22⋊Q8—534no—
1830C22⋊Q8—534no—
1831C22⋊Q8—534no—
1832C22⋊Q8—532no—
1833C22⋊Q8—534no—
1834C22⋊Q8—534no—
1835C22⋊Q8—534no—
1836C22⋊Q8—534no—
1837C22⋊Q8—534no—
1838C22⋊Q8C22×D5311yescharacteristic
1839C22⋊Q8C22×D5312yes—
1840C22⋊Q8C22×D5314yes—
1841C22⋊Q8C22×D5314yes—
1842C22⋊Q8C22×D5314yes—
1843C22⋊Q8C22×D5314yes—
1844#121—534no—
1845#121—532no—
1846#121—532no—
1847#121—532no—
1848#121—532no—
1849#121—532no—
1850#121—531no—
1851#121—532no—
1852#121—532no—
1853#121—532no—
1854#121—532no—
1855#121—534no—
1856#121—534no—
1857#121—534no—
1858#121—534no—
1859#121—534no—
1860#121—534no—
1861#121—534no—
1862#121—534no—
1863#121—534no—
1864#121—531no—
1865#121—532no—
1866#121—534no—
1867#121—534no—
1868#121—534no—
1869#121—534no—
1870#121—534no—
1871#121—534no—
1872#121—534no—
1873#121—531no—
1874#121—531no—
1875#121—532no—
1876#121—531no—
1877#121—531no—
1878#121—532no—
1879#121—532no—
1880#121—531no—
1881#121—532no—
1882#121—534no—
1883#121—534no—
1884#121—534no—
1885#121—532no—
1886#121—532no—
1887#121—532no—
1888#121—534no—
1889#121—534no—
1890#121—534no—
1891#121—534no—
1892#121—534no—
1893#121—534no—
1894#121C22×D5312yes—
1895#121C22×D5311yescharacteristic
1896#121C22×D5312yes—
1897#121C22×D5312yes—
1898#121C22×D5314yes—
1899#121C22×D5314yes—
1900#120—534no—
1901#120—532no—
1902#120—534no—
1903#120—534no—
1904#120—534no—
1905#120—534no—
1906#120—534no—
1907#120—532no—
1908#120—534no—
1909#120—534no—
1910#120—534no—
1911C4×Q8—531no—
1912C4×Q8—532no—
1913C4×Q8—532no—
1914C4×Q8—532no—
1915C4×Q8—534no—
1916C4×Q8—534no—
1917C4×Q8—532no—
1918C4×Q8—531no—
1919C4×Q8—532no—
1920C4×Q8—532no—
1921C4×Q8—532no—
1922C4×Q8—532no—
1923C4×Q8—532no—
1924C4×Q8—534no—
1925C4×Q8—534no—
1926C4×Q8—532no—
1927C4×Q8—532no—
1928C4×Q8—531no—
1929C4×Q8—532no—
1930C4×Q8—534no—
1931C4×Q8—534no—
1932C4×Q8—532no—
1933C4×Q8—532no—
1934C4×Q8—532no—
1935C4×Q8—532no—
1936C4×Q8C22×D5311yescharacteristic
1937C4×Q8C22×D5311yescharacteristic
1938C4×Q8C22×D5312yes—
1939C4×Q8C22×D5311yescharacteristic
1940C4×Q8C22×D5311yescharacteristic
1941C4×Q8C22×D5312yes—
1942C4×Q8C22×D5311yescharacteristic
1943C4×Q8C22×D5312yes—
1944C4×Q8C22×D5312yes—
1945C4×D4—534no—
1946C4×D4—532no—
1947C4×D4—532no—
1948C4×D4—531no—
1949C4×D4—534no—
1950C4×D4—532no—
1951C4×D4—532no—
1952C4×D4—532no—
1953C4×D4—532no—
1954C4×D4—534no—
1955C4×D4—534no—
1956C4×D4—534no—
1957C4×D4—534no—
1958C4×D4—534no—
1959C4×D4—532no—
1960C4×D4—532no—
1961C4×D4—534no—
1962C4×D4—532no—
1963C4×D4—534no—
1964C4×D4—534no—
1965C4×D4—534no—
1966C4×D4—534no—
1967C4×D4—534no—
1968C4×D4—534no—
1969C4×D4—531no—
1970C4×D4—532no—
1971C4×D4—532no—
1972C4×D4—532no—
1973C4×D4—532no—
1974C4×D4—534no—
1975C4×D4—532no—
1976C4×D4—534no—
1977C4×D4—532no—
1978C4×D4—534no—
1979C4×D4—532no—
1980C4×D4—532no—
1981C4×D4—532no—
1982C4×D4—532no—
1983C4×D4—532no—
1984C4×D4—534no—
1985C4×D4—534no—
1986C4×D4—534no—
1987C4×D4—534no—
1988C4×D4—534no—
1989C4×D4—534no—
1990C4×D4—534no—
1991C4×D4—531no—
1992C4×D4—531no—
1993C4×D4—532no—
1994C4×D4—531no—
1995C4×D4—532no—
1996C4×D4—532no—
1997C4×D4—532no—
1998C4×D4—532no—
1999C4×D4—531no—
2000C4×D4—532no—
2001C4×D4—532no—
2002C4×D4—532no—
2003C4×D4—532no—
2004C4×D4—532no—
2005C4×D4—532no—
2006C4×D4—531no—
2007C4×D4—534no—
2008C4×D4—532no—
2009C4×D4—532no—
2010C4×D4C22×D5312yes—
2011C4×D4C22×D5312yes—
2012C4×D4C22×D5312yes—
2013C4×D4C22×D5311yescharacteristic
2014C4×D4C22×D5314yes—
2015C4×D4C22×D5312yes—
2016C4×D4C22×D5312yes—
2017C4×D4C22×D5312yes—
2018C4×D4C22×D5314yes—
2019C4×D4C22×D5312yes—
2020C4×D4C22×D5314yes—
2021#117—532no—
2022#117—534no—
2023#117—534no—
2024#117—534no—
2025#117—534no—
2026#117—531no—
2027#117—532no—
2028#117—532no—
2029#117—531no—
2030#117—532no—
2031#117—532no—
2032#117—532no—
2033#117—534no—
2034#117—532no—
2035#117—532no—
2036#117—534no—
2037#117—534no—
2038#117—532no—
2039#117—534no—
2040#117—532no—
2041#117—534no—
2042#117—534no—
2043#117—532no—
2044#117—532no—
2045#117—534no—
2046#117—534no—
2047#117—532no—
2048#117—532no—
2049#117—532no—
2050#117—532no—
2051#117—532no—
2052#117—532no—
2053#117—532no—
2054#117—532no—
2055#117—532no—
2056#117—532no—
2057#117—534no—
2058#117—534no—
2059#117—534no—
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—534no—
2069C2×C4⋊C4—534no—
2070C2×C4⋊C4—534no—
2071C2×C4⋊C4—532no—
2072C2×C4⋊C4—534no—
2073C2×C4⋊C4—532no—
2074C2×C4⋊C4C22×D5311yescharacteristic
2075C2×C4⋊C4C22×D5312yes—
2076C2×C4⋊C4C22×D5312yes—
2077C2×C4⋊C4C22×D5314yes—
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—534no—
2093C2×C42—531no—
2094C2×C42—531no—
2095C2×C42—532no—
2096C2×C42—531no—
2097C2×C42—531no—
2098C2×C42—531no—
2099C2×C42—531no—
2100C2×C42—531no—
2101C2×C42—531no—
2102C2×C42—531no—
2103C2×C42—531no—
2104C2×C42C22×D5312yes—
2105C2×C42C22×D5311yescharacteristic
2106C24—532no—
2107C24—531no—
2108C24—534no—
2109#41—44no—
2110#41—48no—
2111#41—44no—
2112#41—2124no—
2113#41—2124no—
2114#41—2124no—
2115#41—2124no—
2116#41—2124no—
2117#41—2124no—
2118#41—2124no—
2119#41—2122no—
2120#41—2122no—
2121C2×Q8—42no—
2122C2×Q8—532no—
2123C2×Q8—532no—
2124C2×Q8—531no—
2125C2×Q8—534no—
2126C2×Q8—532no—
2127C2×Q8—532no—
2128C2×Q8—534no—
2129C2×Q8—2124no—
2130C2×Q8—2124no—
2131C2×Q8C23×D5311yescharacteristic
2132C2×Q8C23×D5311yescharacteristic
2133C2×Q8C23×D5311yescharacteristic
2134C2×Q8C23×D5312yes—
2135C2×Q8C23×D5314yes—
2136C2×Q8C23×D5312yes—
2137C2×D4—532no—
2138C2×D4—534no—
2139C2×D4—532no—
2140C2×D4—532no—
2141C2×D4—534no—
2142C2×D4—534no—
2143C2×D4—534no—
2144C2×D4—534no—
2145C2×D4—534no—
2146C2×D4—534no—
2147C2×D4—532no—
2148C2×D4—532no—
2149C2×D4—534no—
2150C2×D4—531no—
2151C2×D4—531no—
2152C2×D4—531no—
2153C2×D4—532no—
2154C2×D4—532no—
2155C2×D4—532no—
2156C2×D4—532no—
2157C2×D4—532no—
2158C2×D4—534no—
2159C2×D4—532no—
2160C2×D4—532no—
2161C2×D4—2122no—
2162C2×D4—2124no—
2163C2×D4—2124no—
2164C2×D4—2124no—
2165C2×D4—2128no—
2166C2×D4C23×D5312yes—
2167C2×D4C23×D5314yes—
2168C2×D4C23×D5312yes—
2169C2×D4C23×D5312yes—
2170C2×D4C23×D5311yescharacteristic
2171C2×D4C23×D5312yes—
2172C2×D4C23×D5314yes—
2173C2×D4C23×D5314yes—
2174C22×C4—531no—
2175C22×C4—531no—
2176C22×C4—531no—
2177C22×C4—534no—
2178C22×C4—534no—
2179C22×C4—532no—
2180C22×C4—532no—
2181C22×C4—532no—
2182C22×C4—534no—
2183C22×C4—534no—
2184C22×C4—531no—
2185C22×C4—531no—
2186C22×C4—531no—
2187C22×C4—531no—
2188C22×C4—532no—
2189C22×C4—532no—
2190C22×C4—532no—
2191C22×C4—531no—
2192C22×C4—531no—
2193C22×C4—531no—
2194C22×C4—531no—
2195C22×C4—531no—
2196C22×C4—531no—
2197C22×C4—531no—
2198C22×C4—531no—
2199C22×C4—532no—
2200C22×C4—532no—
2201C22×C4—532no—
2202C22×C4—534no—
2203C22×C4—534no—
2204C22×C4—534no—
2205C22×C4—534no—
2206C22×C4—532no—
2207C22×C4—2122no—
2208C22×C4—2124no—
2209C22×C4—2122no—
2210C22×C4—2122no—
2211C22×C4C23×D5311yescharacteristic
2212C22×C4C23×D5311yescharacteristic
2213C22×C4C23×D5311yescharacteristic
2214C22×C4C23×D5312yes—
2215C22×C4C23×D5312yes—
2216C22×C4C23×D5314yes—
2217C22×C4C23×D5312yes—
2218C22×C4C23×D5314yes—
2219C22×C4C23×D5314yes—
2220C22×C4C23×D5314yes—
2221C4⋊C4—532no—
2222C4⋊C4—532no—
2223C4⋊C4—532no—
2224C4⋊C4—532no—
2225C4⋊C4—531no—
2226C4⋊C4—532no—
2227C4⋊C4—531no—
2228C4⋊C4—532no—
2229C4⋊C4—534no—
2230C4⋊C4—534no—
2231C4⋊C4—534no—
2232C4⋊C4—534no—
2233C4⋊C4—532no—
2234C4⋊C4—532no—
2235C4⋊C4—531no—
2236C4⋊C4—532no—
2237C4⋊C4—532no—
2238C4⋊C4—534no—
2239C4⋊C4—534no—
2240C4⋊C4—534no—
2241C4⋊C4—532no—
2242C4⋊C4—532no—
2243C4⋊C4—532no—
2244C4⋊C4—532no—
2245C4⋊C4—532no—
2246C4⋊C4—532no—
2247C4⋊C4—532no—
2248C4⋊C4—534no—
2249C4⋊C4—534no—
2250C4⋊C4—534no—
2251C4⋊C4—534no—
2252C4⋊C4—534no—
2253C4⋊C4—532no—
2254C4⋊C4—531no—
2255C4⋊C4—532no—
2256C4⋊C4—534no—
2257C4⋊C4—532no—
2258C4⋊C4—532no—
2259C4⋊C4—534no—
2260C4⋊C4—532no—
2261C4⋊C4—532no—
2262C4⋊C4—532no—
2263C4⋊C4—534no—
2264C4⋊C4—534no—
2265C4⋊C4—532no—
2266C4⋊C4—532no—
2267C4⋊C4—532no—
2268C4⋊C4—534no—
2269C4⋊C4—532no—
2270C4⋊C4—532no—
2271C4⋊C4—534no—
2272C4⋊C4—534no—
2273C4⋊C4—534no—
2274C4⋊C4C23×D5311yescharacteristic
2275C4⋊C4C23×D5312yes—
2276C4⋊C4C23×D5312yes—
2277C4⋊C4C23×D5311yescharacteristic
2278C4⋊C4C23×D5312yes—
2279C4⋊C4C23×D5312yes—
2280C4⋊C4C23×D5314yes—
2281C4⋊C4C23×D5312yes—
2282C4⋊C4C23×D5311yescharacteristic
2283C4⋊C4C23×D5312yes—
2284C4⋊C4C23×D5314yes—
2285C4⋊C4C23×D5312yes—
2286C4⋊C4C23×D5312yes—
2287C4⋊C4C23×D5312yes—
2288C4⋊C4C23×D5311yescharacteristic
2289C4⋊C4C23×D5314yes—
2290C4⋊C4C23×D5312yes—
2291C4⋊C4C23×D5312yes—
2292C4⋊C4C23×D5314yes—
2293C22⋊C4—534no—
2294C22⋊C4—534no—
2295C22⋊C4—534no—
2296C22⋊C4—534no—
2297C22⋊C4—532no—
2298C22⋊C4—532no—
2299C22⋊C4—532no—
2300C22⋊C4—534no—
2301C22⋊C4—534no—
2302C22⋊C4—534no—
2303C22⋊C4—534no—
2304C22⋊C4—532no—
2305C22⋊C4—532no—
2306C22⋊C4—532no—
2307C22⋊C4—532no—
2308C22⋊C4—532no—
2309C22⋊C4—532no—
2310C22⋊C4—532no—
2311C22⋊C4—532no—
2312C22⋊C4—532no—
2313C22⋊C4—534no—
2314C22⋊C4—534no—
2315C22⋊C4—534no—
2316C22⋊C4—534no—
2317C22⋊C4—532no—
2318C22⋊C4—532no—
2319C22⋊C4—532no—
2320C22⋊C4—532no—
2321C22⋊C4—532no—
2322C22⋊C4—532no—
2323C22⋊C4—532no—
2324C22⋊C4—532no—
2325C22⋊C4—532no—
2326C22⋊C4—534no—
2327C22⋊C4—532no—
2328C22⋊C4—534no—
2329C22⋊C4—534no—
2330C22⋊C4—532no—
2331C22⋊C4—532no—
2332C22⋊C4—532no—
2333C22⋊C4—532no—
2334C22⋊C4—532no—
2335C22⋊C4—534no—
2336C22⋊C4—534no—
2337C22⋊C4—532no—
2338C22⋊C4—532no—
2339C22⋊C4—532no—
2340C22⋊C4—534no—
2341C22⋊C4—534no—
2342C22⋊C4—532no—
2343C22⋊C4—532no—
2344C22⋊C4—532no—
2345C22⋊C4—534no—
2346C22⋊C4C23×D5312yes—
2347C22⋊C4C23×D5314yes—
2348C22⋊C4C23×D5314yes—
2349C22⋊C4C23×D5314yes—
2350C22⋊C4C23×D5314yes—
2351C22⋊C4C23×D5314yes—
2352C22⋊C4C23×D5312yes—
2353C22⋊C4C23×D5312yes—
2354C22⋊C4C23×D5314yes—
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—534no—
2375C42—532no—
2376C42—532no—
2377C42—532no—
2378C42—534no—
2379C42—534no—
2380C42—534no—
2381C42—534no—
2382C42—534no—
2383C42C23×D5311yescharacteristic
2384C42C23×D5311yescharacteristic
2385C42C23×D5311yescharacteristic
2386C42C23×D5311yescharacteristic
2387C42C23×D5312yes—
2388C42C23×D5312yes—
2389C42C23×D5312yes—
2390C42C23×D5312yes—
2391C42C23×D5312yes—
2392C42C23×D5314yes—
2393C23—532no—
2394C23—532no—
2395C23—531no—
2396C23—531no—
2397C23—532no—
2398C23—1064no—
2399C23—1062no—
2400C23—2124no—
2401C23—2124no—
2402C23—2124no—
2403C23—2122no—
2404C23—2122no—
2405C23—2121no—
2406C23—2121no—
2407C23C24×D5314yes—
2408C23C24×D5312yes—
2409C23C24×D5311yescharacteristic
2410Q8—22no—
2411Q8—22no—
2412Q8—22no—
2413Q8—42no—
2414Q8—42no—
2415Q8—44no—
2416Q8—1064no—
2417Q8—1064no—
2418Q8—1062no—
2419Q8—2124no—
2420Q8—2124no—
2421Q8—2122no—
2422Q8—2122no—
2423D4—28no—
2424D4—24no—
2425D4—24no—
2426D4—24no—
2427D4—22no—
2428D4—42no—
2429D4—44no—
2430D4—44no—
2431D4—1064no—
2432D4—1062no—
2433D4—1062no—
2434D4—1062no—
2435D4—2122no—
2436D4—2122no—
2437D4—2122no—
2438D4—2122no—
2439D4—2124no—
2440D4—2122no—
2441D4—2122no—
2442D4—2122no—
2443D4—2124no—
2444D4—2124no—
2445D4—2124no—
2446D4—2122no—
2447D4—2122no—
2448D4—2122no—
2449D4—2124no—
2450D4—2124no—
2451D4—2122no—
2452D4—2124no—
2453D4—2124no—
2454D4—2124no—
2455C2×C4—22no—
2456C2×C4—24no—
2457C2×C4—22no—
2458C2×C4—24no—
2459C2×C4—22no—
2460C2×C4—42no—
2461C2×C4—44no—
2462C2×C4—44no—
2463C2×C4—44no—
2464C2×C4—44no—
2465C2×C4—531no—
2466C2×C4—531no—
2467C2×C4—531no—
2468C2×C4—531no—
2469C2×C4—532no—
2470C2×C4—531no—
2471C2×C4—531no—
2472C2×C4—534no—
2473C2×C4—534no—
2474C2×C4—532no—
2475C2×C4—532no—
2476C2×C4—532no—
2477C2×C4—532no—
2478C2×C4—1062no—
2479C2×C4—1062no—
2480C2×C4—1062no—
2481C2×C4—1064no—
2482C2×C4—1064no—
2483C2×C4—1064no—
2484C2×C4—1062no—
2485C2×C4—1062no—
2486C2×C4—2121no—
2487C2×C4—2121no—
2488C2×C4—2121no—
2489C2×C4—2121no—
2490C2×C4—2121no—
2491C2×C4—2121no—
2492C2×C4—2121no—
2493C2×C4—2121no—
2494C2×C4—2122no—
2495C2×C4—2122no—
2496C2×C4—2124no—
2497C2×C4—2124no—
2498C2×C4—2124no—
2499C2×C4—2122no—
2500C2×C4—2124no—
2501C2×C4—2122no—
2502C2×C4—2121no—
2503C2×C4—2121no—
2504C2×C4—2122no—
2505C2×C4—2122no—
2506C2×C4—2124no—
2507C2×C4—2122no—
2508C2×C4—2124no—
2509C2×C4—2124no—
2510C2×C4—2124no—
2511C2×C4C24×D5311yescharacteristic
2512C2×C4C24×D5312yes—
2513C2×C4C24×D5312yes—
2514C2×C4C24×D5314yes—
2515C2×C4C24×D5311yescharacteristic
2516C2×C4C24×D5312yes—
2517C2×C4C24×D5311yescharacteristic
2518C2×C4C24×D5311yescharacteristic
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—24no—
2529C22—22no—
2530C22—24no—
2531C22—22no—
2532C22—24no—
2533C22—8484no—
2534C22—1061no—
2535C22—1061no—
2536C22—1062no—
2537C22—1062no—
2538C22—1062no—
2539C22—1062no—
2540C22—1061no—
2541C22—1061no—
2542C22—1062no—
2543C22—1062no—
2544C22—1062no—
2545C22—1061no—
2546C22—1061no—
2547C22—1062no—
2548C22—1062no—
2549C22—4244no—
2550C22—2124no—
2551C22#1681145812yes—
2552C22C25×D5311yescharacteristic
2553C4—21no—
2554C4—22no—
2555C4—21no—
2556C4—22no—
2557C4—24no—
2558C4—22no—
2559C4—22no—
2560C4—21no—
2561C4—22no—
2562C4—22no—
2563C4—21no—
2564C4—22no—
2565C4—1061no—
2566C4—1061no—
2567C4—1062no—
2568C4—1061no—
2569C4—1061no—
2570C4—1062no—
2571C4—1064no—
2572C4—1061no—
2573C4—1061no—
2574C4—1062no—
2575C4—1062no—
2576C4—1062no—
2577C4—1064no—
2578C4#1681145912yes—
2579C4#1681146012yes—
2580C2—22no—
2581C2—44no—
2582C2—42no—
2583C2—2122no—
2584C2—2122no—
2585C2—2122no—
2586C2—2121no—
2587C2—2121no—
2588C2C2×#1681145811yescharacteristic
2589C2C2×#1681145911yescharacteristic
2590C2C2×#1681146011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3522C2
hypercenter#3522D53
hypocenterC53#62827
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3522

Complements

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

NH ≅ G/Ntype
1. #20289390C2semidirect
2. #20289386C2semidirect
3. #20289358C2semidirect
4. #20289301C2semidirect
5. #20289204C2semidirect
6. #20289174C2semidirect
7. #20289105C2semidirect
8. #20289075C2semidirect
9. #20289032C2semidirect
10. #20288994C2semidirect
11. #20288885C2semidirect
12. #20288822C2semidirect
13. #20288819C2semidirect
14. #20288811C2semidirect
15. #20288786C2semidirect
16. #20288785C2semidirect
17. #20288784C2semidirect
18. #20288766C2semidirect
19. #20288742C2semidirect
20. #20288733C2semidirect
21. #20288718C2semidirect
22. #20288694C2semidirect
23. #20288684C2semidirect
24. #20288675C2semidirect
25. #20288669C2semidirect
26. #20288632C2semidirect
27. #20288607C2semidirect
28. #20288564C2semidirect
29. #20288550C2semidirect
30. #20288455C2semidirect
31. #20288445C2semidirect
32. #20288010C2semidirect
33. #20288009C2semidirect
34. C2×#16811160C2semidirect
35. C53×#3522C2semidirect
36. #16811374C22semidirect
37. #16811372C22semidirect
38. #16811370C22semidirect
39. #16811369C22semidirect
40. #16811369C22semidirect
41. #16811367C22semidirect
42. #16811363C22semidirect
43. #16811361C22semidirect
44. #16811357C22semidirect
45. #16811355C22semidirect
46. #16811355C22semidirect
47. #16811355C22semidirect
48. #16811352C22semidirect
49. #16811351C22semidirect
50. #16811351C22semidirect
51. #16811348C22semidirect
52. #16811347C22semidirect
53. #16811347C22semidirect
54. #16811347C22semidirect
55. #16811346C22semidirect
56. #16811346C22semidirect
57. #16811346C22semidirect
58. #16811346C22semidirect
59. #16811345C22semidirect
60. #16811344C22semidirect
61. #16811340C22semidirect
62. #16811339C22semidirect
63. #16811339C22semidirect
64. #16811338C22semidirect
65. #16811338C22semidirect
66. #16811335C22semidirect
67. #16811335C22semidirect
68. #16811334C22semidirect
69. #16811332C22semidirect
70. #16811330C22semidirect
71. #16811330C22semidirect
72. #16811326C22semidirect
74. #16811325C22semidirect
75. #16811324C22semidirect
76. #16811323C22semidirect
77. #16811323C22semidirect
78. #16811322C22semidirect
79. #16811322C22semidirect
81. #16811321C22semidirect
82. #16811319C22semidirect
83. #16811319C22semidirect
84. #16811319C22semidirect
85. #16811317C22semidirect
86. #16811316C22semidirect
87. #16811316C22semidirect
88. #16811315C22semidirect
89. #16811315C22semidirect
90. #16811315C22semidirect
91. #16811314C22semidirect
92. #16811312C22semidirect
93. #16811311C22semidirect
94. #16811311C22semidirect
95. #16811310C22semidirect
96. #16811310C22semidirect
97. #16811309C22semidirect
98. #16811308C22semidirect
99. #16811308C22semidirect
100. #16811308C22semidirect
101. #16811308C22semidirect
102. #16811306C22semidirect
103. #16811303C22semidirect
104. #16811302C22semidirect
105. #16811302C22semidirect
106. #16811300C22semidirect
107. #16811300C22semidirect
108. #16811298C22semidirect
109. #16811297C22semidirect
110. #16811296C22semidirect
111. #16811296C22semidirect
112. #16811296C22semidirect
113. #16811296C22semidirect
114. #16811293C22semidirect
115. #16811293C22semidirect
116. #16811293C22semidirect
117. #16811291C22semidirect
118. Q8×D212C22semidirect
119. Q8×D212C22semidirect
120. Q8×C22⋊D53C22semidirect
121. #16811285C22semidirect
122. #16811283C22semidirect
123. #16811281C22semidirect
124. #16811281C22semidirect
125. #16811281C22semidirect
126. #16811278C22semidirect
127. #16811277C22semidirect
128. #16811277C22semidirect
129. #16811277C22semidirect
130. #16811272C22semidirect
131. #16811272C22semidirect
134. #16811268C22semidirect
135. #16811268C22semidirect
136. #16811266C22semidirect
137. #16811262C22semidirect
139. #16811261C22semidirect
140. #16811261C22semidirect
141. #16811258C22semidirect
143. #16811253C22semidirect
144. #16811250C22semidirect
146. #16811247C22semidirect
147. #16811247C22semidirect
148. #16811246C22semidirect
149. #16811244C22semidirect
150. #16811243C22semidirect
151. #16811243C22semidirect
152. #16811242C22semidirect
153. #16811242C22semidirect
154. #16811238C22semidirect
155. #16811238C22semidirect
156. #16811237C22semidirect
157. #16811236C22semidirect
158. #16811234C22semidirect
159. #16811233C22semidirect
160. #16811231C22semidirect
161. #16811231C22semidirect
162. #16811231C22semidirect
163. #16811231C22semidirect
164. #16811227C22semidirect
165. #16811225C22semidirect
166. #16811225C22semidirect
167. #16811224C22semidirect
168. #16811224C22semidirect
169. #16811224C22semidirect
170. #16811223C22semidirect
171. #16811222C22semidirect
172. #16811222C22semidirect
173. #16811220C22semidirect
174. #16811217C22semidirect
175. #16811217C22semidirect
176. #16811217C22semidirect
177. #16811214C22semidirect
178. #16811213C22semidirect
179. #16811210C22semidirect
180. #16811210C22semidirect
181. #16811210C22semidirect
182. #16811209C22semidirect
183. #16811207C22semidirect
184. #16811207C22semidirect
185. #16811206C22semidirect
186. #16811206C22semidirect
187. #16811204C22semidirect
188. #16811201C22semidirect
189. #16811196C22semidirect
190. #16811193C22semidirect
192. #16811187C22semidirect
193. #16811186C22semidirect
194. #16811184C22semidirect
195. #16811180C22semidirect
196. #16811180C22semidirect
197. #16811179C22semidirect
198. #16811178C22semidirect
199. #16811178C22semidirect
200. #16811178C22semidirect
201. #16811177C22semidirect
202. #16811175C22semidirect
203. #16811172C22semidirect
204. #16811171C22semidirect
205. #16811171C22semidirect
206. #16811170C22semidirect
207. #16811169C22semidirect
213. #16811160C22semidirect
214. #16811160C22semidirect
215. #16811160C22semidirect
216. #16811160C22semidirect
217. #16811160C22semidirect
218. #16811160C22semidirect
219. #16811160C22semidirect
220. #16811160C22semidirect
221. #16811160C22semidirect
222. #16811159C22semidirect
223. #16811159C22semidirect
224. #16811158C22semidirect
227. #16811156C22semidirect
228. #16811156C22semidirect
229. #16811155C22semidirect
230. #16811155C22semidirect
231. #16811155C22semidirect
232. #16811154C22semidirect
233. #16811154C22semidirect
234. #16811154C22semidirect
235. #16811153C22semidirect
236. #16811152C22semidirect
237. #16811152C22semidirect
238. #16811152C22semidirect
239. #16811151C22semidirect
240. #16811150C22semidirect
241. #16811150C22semidirect
242. C2×#13133212C22semidirect
243. C2×#13133212C22semidirect
244. C2×#13133208C22semidirect
245. C2×#13133208C22semidirect
247. #124×D53C22semidirect
250. #16811133C22semidirect
251. #16811133C22semidirect
252. #16811133C22semidirect
253. #16811133C22semidirect
254. #16811132C22semidirect
255. #16811131C22semidirect
256. #16811130C22semidirect
257. C2×#13133202C22semidirect
258. C2×#13133193C22semidirect
259. C22⋊Q8×D53C22semidirect
262. #16811106C22semidirect
263. #16811103C22semidirect
264. #16811102C22semidirect
265. #16811102C22semidirect
266. #16811099C22semidirect
267. #16811099C22semidirect
268. #16811095C22semidirect
269. #16811095C22semidirect
270. #16811095C22semidirect
271. #41×Dic53C22semidirect
272. C4×#11719949C22semidirect
273. #16811091C22semidirect
274. C4×#11719947C22semidirect
275. C4×#11719947C22semidirect
276. C4×#11719947C22semidirect
277. C4×#11719947C22semidirect
279. C2×C4×D212C22semidirect
280. C2×#13133174C22semidirect
281. C2×C42×D53C22semidirect
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
1299. #3522D53semidirect
1343. #559C2×D53semidirect
1344. #559C2×D53semidirect
1345. Q82C2×D53semidirect
1370. #554C2×D53semidirect
1371. #554C2×D53semidirect
1418. #550C2×D53semidirect
1427. #548C2×D53semidirect
1434. #547C2×D53semidirect
1435. #547C2×D53semidirect
1461. #542C2×D53semidirect
1462. #542C2×D53semidirect
1516. #532C2×D53semidirect
1550. #529C2×D53semidirect
1551. #529C2×D53semidirect
1576. #520C2×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
#202893902
#202893862
#202893582
#202893012
#202892042
#202891742
#202891052
#202890752
#202890322
#202889942
#202888852
#202888222
#202888192
#202888112
#202887862
#202887852
#202887842
#202887662
#202887422
#202887332
#202887182
#202886942
#202886842
#202886752
#202886692
#202886322
#202886072
#202885642
#202885502
#202884552
#202884452
#202880102
#202880092
C2×#168111602
C53×#35222
#6282753