Finite Group Databasebeta

← #28293239

Subgroups — #28293239

Order 13568.

7086 conjugacy classes of subgroups.

The subgroup lattice has 2666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288637C211yesmaximal, characteristic, complemented
2#20288636C211yesmaximal, characteristic, complemented
3#20288635C211yesmaximal, characteristic, complemented
4#20288632C211yesmaximal, characteristic, complemented
5#20288631C214yesmaximal, complemented
6#20288628C211yesmaximal, characteristic, complemented
7#20288624C211yesmaximal, characteristic, complemented
8#20288621C214yesmaximal, complemented
9#20288618C211yesmaximal, characteristic, complemented
10#20288551C214yesmaximal, complemented
11#20288548C214yesmaximal, complemented
12#20288465C212yesmaximal, complemented
13#20288463C212yesmaximal, complemented
14#20288462C212yesmaximal, complemented
15#20288460C212yesmaximal, complemented
16#20288449C212yesmaximal, complemented
17#20288448C212yesmaximal, complemented
18#20288445C212yesmaximal, complemented
19#20288439C212yesmaximal, complemented
20#20288429C212yesmaximal, complemented
21#20288426C212yesmaximal, complemented
22#20288423C212yesmaximal, complemented
23#20288417C212yesmaximal, complemented
24#20288146C212yesmaximal, complemented
25#20288141C212yesmaximal, complemented
26#20288135C212yesmaximal, complemented
27#20288129C212yesmaximal, complemented
28C2×#16811250C211yesmaximal, characteristic, complemented
29#20288043C211yesmaximal, characteristic, complemented
30#20288042C211yesmaximal, characteristic, complemented
31#537×D53C211yesmaximal, characteristic, complemented
32#20287915C211yesmaximal, characteristic, complemented
33#20287914C211yesmaximal, characteristic, complemented
34#520×D53C211yesmaximal, characteristic, complemented
35C53×#3511C211yesmaximal, characteristic, complemented
36C2×#41×D53C2211yescharacteristic
37C2×#41×D53C2211yescharacteristic
38C2×#41×D53C2211yescharacteristic
39#16811347C2212yescomplemented
40#16811345C2214yescomplemented
41#16811344C2212yescomplemented
42#16811342C2214yescomplemented
43#16811341C2212yescomplemented
44#16811339C2212yescomplemented
45#16811337C2212yescomplemented
46#16811336C2212yescomplemented
47#16811335C2214yescomplemented
48#16811335C2214yescomplemented
49#16811334C2212yescomplemented
50#16811331C2212yescomplemented
51#16811328C2212yescomplemented
52#16811327C2214yescomplemented
53#16811327C2214yescomplemented
54#16811325C2214yescomplemented
55#16811325C2212yescomplemented
56#16811324C2214yescomplemented
57#16811323C2212yescomplemented
58#16811323C2212yescomplemented
59#16811322C2214yescomplemented
60#16811322C2214yescomplemented
61#16811322C2214yescomplemented
62#16811322C2214yescomplemented
63#16811322C2214yescomplemented
64#16811321C2214yescomplemented
65#16811321C2212yescomplemented
66#16811320C2212yescomplemented
67#16811319C2214yescomplemented
68#16811319C2212yescomplemented
69#16811319C2212yescomplemented
70#16811318C2214yescomplemented
71#16811317C2212yescomplemented
72#16811316C2214yescomplemented
73#16811316C2214yescomplemented
74#16811316C2214yescomplemented
75#16811316C2214yescomplemented
76#16811316C2214yescomplemented
77#16811315C2212yescomplemented
78#16811314C2214yescomplemented
79#16811314C2212yescomplemented
80#16811314C2212yescomplemented
81#16811313C2212yescomplemented
82#16811313C2212yescomplemented
83#16811312C2212yescomplemented
84#16811310C2214yescomplemented
85#16811309C2214yescomplemented
86#16811309C2214yescomplemented
87#16811308C2212yescomplemented
88#16811307C2214yescomplemented
89#16811307C2212yescomplemented
90#16811306C2214yescomplemented
91#16811305C2214yescomplemented
92#16811305C2214yescomplemented
93#16811303C2214yescomplemented
94#16811303C2214yescomplemented
95#16811302C2214yescomplemented
96#16811301C2214yescomplemented
97#16811300C2214yescomplemented
98#16811300C2214yescomplemented
99#16811298C2214yescomplemented
100#16811297C2214yescomplemented
101#16811284C2214yescomplemented
102#16811282C2214yescomplemented
103#16811279C2214yescomplemented
104#16811276C2212yescomplemented
105#16811275C2214yescomplemented
106#16811274C2212yescomplemented
107#16811273C2212yescomplemented
108#16811272C2214yescomplemented
109#16811266C2214yescomplemented
110#16811265C2214yescomplemented
111#16811262C2214yescomplemented
112#16811261C2214yescomplemented
113#16811250C2212yescomplemented
114#16811250C2212yescomplemented
115#16811250C2212yescomplemented
116#16811250C2212yescomplemented
117#16811250C2212yescomplemented
118#16811250C2212yescomplemented
119#16811250C2212yescomplemented
120#16811250C2212yescomplemented
121#16811247C2212yescomplemented
122#16811247C2212yescomplemented
123#16811246C2212yescomplemented
124#16811245C2212yescomplemented
125#16811243C2214yescomplemented
126#16811243C2214yescomplemented
127#16811240C2212yescomplemented
128#16811238C2212yescomplemented
129#16811237C2214yescomplemented
130#16811237C2214yescomplemented
131#16811235C2212yescomplemented
132#16811234C2212yescomplemented
133#16811233C2212yescomplemented
134#16811232C2214yescomplemented
135#16811231C2212yescomplemented
136#16811230C2214yescomplemented
137#16811228C2212yescomplemented
138#16811227C2212yescomplemented
139#16811226C2212yescomplemented
140#16811225C2214yescomplemented
141#16811224C2212yescomplemented
142#16811223C2214yescomplemented
143#16811221C2214yescomplemented
144#16811219C2214yescomplemented
145#16811219C2214yescomplemented
146#16811216C2214yescomplemented
147#16811212C2214yescomplemented
148#16811207C2214yescomplemented
149#16811207C2214yescomplemented
150#16811205C2214yescomplemented
151#16811204C2211yescharacteristic, complemented
152#16811204C2211yescharacteristic, complemented
153#16811203C2212yes—
154#16811203C2212yes—
155#16811202C2212yes—
156#16811202C2212yes—
157#16811201C2211yescharacteristic, complemented
158#16811201C2211yescharacteristic, complemented
159#16811201C2211yescharacteristic, complemented
160#16811201C2211yescharacteristic, complemented
161#16811200C2214yescomplemented
162#16811200C2212yescomplemented
163#16811200C2212yescomplemented
164#16811198C2211yescharacteristic
165#16811198C2211yescharacteristic, complemented
166#16811196C2212yes—
167#16811196C2212yescomplemented
168#16811193C2211yescharacteristic
169#16811193C2211yescharacteristic, complemented
170#16811191C2211yescharacteristic
171#16811191C2211yescharacteristic, complemented
172#16811189C2212yes—
173#16811189C2212yescomplemented
174#16811186C2211yescharacteristic
175#16811186C2211yescharacteristic, complemented
176#16811181C2212yes—
177#16811181C2214yes—
178#16811181C2212yes—
179#16811178C2212yescomplemented
180#16811177C2212yescomplemented
181#16811177C2214yescomplemented
182#16811175C2214yescomplemented
183#16811175C2212yescomplemented
184#16811174C2212yescomplemented
185#16811173C2211yescharacteristic, complemented
186#16811172C2214yescomplemented
187#16811170C2212yescomplemented
188#16811169C2211yescharacteristic, complemented
189#16811169C2211yescharacteristic, complemented
190#16811169C2214yescomplemented
191#16811168C2214yescomplemented
192#16811168C2212yescomplemented
193C2×#13133216C2211yescharacteristic, complemented
194C2×#13133215C2212yescomplemented
195#16811160C2214yescomplemented
196#16811160C2212yescomplemented
197#16811159C2212yescomplemented
198#16811157C2212yescomplemented
199#16811157C2212yescomplemented
200#16811156C2214yescomplemented
201#16811156C2214yescomplemented
202#16811155C2212yescomplemented
203#16811154C2212yescomplemented
204#16811153C2214yescomplemented
205#16811152C2214yescomplemented
206#16811152C2212yescomplemented
207#16811152C2212yescomplemented
208#16811151C2214yescomplemented
209#16811151C2214yescomplemented
210#16811150C2214yescomplemented
211C2×#13133209C2211yescharacteristic, complemented
212C2×#13133208C2211yescharacteristic, complemented
213C2×#13133207C2212yescomplemented
214#16811136C2212yes—
215#16811136C2214yescomplemented
216#16811136C2212yescomplemented
217#16811133C2212yes—
218#16811133C2212yescomplemented
219#16811132C2212yes—
220#16811132C2212yes—
221#16811132C2214yescomplemented
222#16811132C2212yescomplemented
223#16811132C2212yescomplemented
224#16811131C2214yescomplemented
225#16811130C2214yescomplemented
226C2×#13133195C2212yes—
227C2×#13133193C2212yes—
228C22⋊Q8×D53C2212yescomplemented
229C22⋊Q8×D53C2212yescomplemented
230#121×D53C2214yes—
231#121×D53C2212yescomplemented
232#121×D53C2212yescomplemented
233#16811106C2211yescharacteristic, complemented
234#16811106C2211yescharacteristic, complemented
235#16811105C2212yes—
236#16811105C2211yescharacteristic, complemented
237#16811105C2211yescharacteristic, complemented
238#16811104C2212yes—
239#16811104C2211yescharacteristic, complemented
240#16811104C2211yescharacteristic, complemented
241#16811104C2212yescomplemented
242#16811103C2212yes—
243#16811103C2211yescharacteristic, complemented
244#16811103C2211yescharacteristic, complemented
245#16811103C2212yescomplemented
246#16811102C2212yes—
247#16811102C2212yescomplemented
248#16811102C2214yescomplemented
249#16811102C2212yescomplemented
250#16811102C2211yescharacteristic, complemented
251#16811102C2211yescharacteristic, complemented
252#16811099C2211yescharacteristic, complemented
253#16811099C2211yescharacteristic, complemented
254#16811099C2212yescomplemented
255#16811095C2212yes—
256#16811095C2214yes—
257#16811095C2212yes—
258#16811095C2211yescharacteristic, complemented
259#16811095C2211yescharacteristic, complemented
260#16811095C2212yescomplemented
261#41×Dic53C2211yescharacteristic, complemented
262C4×#11719949C2212yescomplemented
263C4×#11719945C2211yescharacteristic, complemented
264C4×#11719945C2212yescomplemented
265#16811091C2211yescharacteristic, complemented
266#16811091C2212yescomplemented
267C4×#11719947C2214yescomplemented
268C4×#11719947C2212yescomplemented
269C4×Q8×D53C2212yescomplemented
270C4×D4×D53C2214yes—
271C4×D4×D53C2212yescomplemented
272C2×#13133175C2211yescharacteristic
273C2×#13133175C2212yescomplemented
274C2×#13133174C2211yescharacteristic
275C2×#13133174C2212yescomplemented
276#117×D53C2211yescharacteristic
277#117×D53C2212yescomplemented
278#117×D53C2212yescomplemented
279#117×D53C2212yescomplemented
280C2×C4⋊C4×D53C2211yescharacteristic
281C2×C4⋊C4×D53C2212yescomplemented
282C53×#556C2212yescomplemented
283C53×#555C2212yescomplemented
284C53×#554C2212yescomplemented
285C53×#553C2214yescomplemented
286C53×#548C2214yescomplemented
287C53×#547C2212yescomplemented
288C53×#542C2212yescomplemented
289C53×#542C2212yescomplemented
290C53×#537C2211yescharacteristic, complemented
291C53×#537C2211yescharacteristic, complemented
292C53×#533C2212yescomplemented
293C53×#532C2211yescharacteristic, complemented
294C53×#532C2212yescomplemented
295C2×C4⋊Q8×C53C2211yescharacteristic, complemented
296C53×#520C2211yescharacteristic, complemented
297C53×#520C2211yescharacteristic, complemented
298C4×#41×C53C2211yescharacteristic, complemented
299C2×#11719949C2311yescharacteristic
300C2×#11719949C2311yescharacteristic
301C2×#11719949C2311yescharacteristic
302C2×#11719949C2314yes—
303C2×#11719945C2312yes—
304C2×#11719945C2311yescharacteristic
305C2×#11719945C2312yes—
306C2×#11719945C2312yes—
307C2×#11719945C2311yescharacteristic
308C2×#11719945C2311yescharacteristic
309C2×#11719945C2314yes—
310C2×#11719947C2311yescharacteristic
311C2×#11719947C2312yes—
312C2×#11719947C2311yescharacteristic
313C2×#11719947C2311yescharacteristic
314C2×#11719947C2312yes—
315C2×#11719947C2312yes—
316C2×#11719947C2314yes—
317#41×D53—28no—
318#41×D53—28no—
319#41×D53—28no—
320C22×Dic106C2312yes—
321C2×Q8×D53C2311yescharacteristic
322C2×Q8×D53C2311yescharacteristic
323C2×Q8×D53C2311yescharacteristic
324C2×D4×D53C2312yes—
325C2×D4×D53C2311yescharacteristic
326C2×D4×D53C2312yes—
327C2×D4×D53C2312yes—
328C2×D4×D53C2311yescharacteristic
329C2×D4×D53C2311yescharacteristic
330C2×D4×D53C2314yes—
331C22×C4×D53C2312yes—
332C22×C4×D53C2312yes—
333C22×C4×D53C2312yes—
334C22×C4×D53C2312yes—
335C22×C4×D53C2314yes—
336C22×C4×D53C2311yescharacteristic
337#13133217C2311yescharacteristic
338#13133216C2312yes—
339#13133216C2312yes—
340#13133216C2312yes—
341#13133216C2312yes—
342#13133216C2314yes—
343#13133215C2314yes—
344#13133215C2314yes—
345#13133215C2314yes—
346#13133215C2314yes—
347#13133215C2311yescharacteristic
348#13133215C2311yescharacteristic
349#13133214C2311yescharacteristic
350#13133213C2311yescharacteristic
351#13133213C2314yes—
352#13133213C2311yescharacteristic
353#13133212C2314yes—
354#13133212C2314yes—
355#13133212C2314yes—
356#13133212C2314yes—
357#13133212C2314yes—
358#13133212C2314yes—
359#13133212C2314yes—
360#13133212C2314yes—
361#13133211C2314yes—
362#13133211C2314yes—
363#13133211C2314yes—
364#13133211C2314yes—
365#13133210C2314yes—
366#13133210C2314yes—
367#13133210C2314yes—
368#13133210C2314yes—
369#13133210C2314yes—
370#13133210C2314yes—
371#13133210C2314yes—
372#13133210C2314yes—
373#13133210C2314yes—
374#13133210C2314yes—
375#13133209C2314yes—
376#13133209C2312yes—
377#13133209C2312yes—
378#13133209C2312yes—
379#13133209C2312yes—
380#13133208C2314yes—
381#13133208C2312yes—
382#13133208C2312yes—
383#13133208C2314yes—
384#13133208C2312yes—
385#13133208C2312yes—
386#13133207C2314yes—
387#13133207C2314yes—
388#13133207C2314yes—
389#13133207C2314yes—
390#13133207C2314yes—
391#13133207C2314yes—
392#13133207C2314yes—
393#13133207C2314yes—
394#13133207C2314yes—
395#13133207C2314yes—
396#13133207C2314yes—
397#13133207C2314yes—
398#13133206C2314yes—
399#13133206C2314yes—
400#13133206C2314yes—
401#13133206C2311yescharacteristic
402#13133206C2311yescharacteristic
403#13133205C2314yes—
404#13133205C2311yescharacteristic
405#13133205C2311yescharacteristic
406#13133204C2314yes—
407#13133204C2311yescharacteristic
408#13133204C2311yescharacteristic
409#13133203C2314yes—
410#13133203C2314yes—
411#13133203C2314yes—
412#13133203C2314yes—
413#13133203C2314yes—
414#13133203C2314yes—
415#13133202C2314yes—
416#13133202C2314yes—
417#13133202C2314yes—
418#13133202C2314yes—
419#13133202C2314yes—
420#13133202C2312yes—
421#13133202C2314yes—
422#13133202C2314yes—
423#13133202C2312yes—
424#13133202C2312yes—
425#13133202C2312yes—
426#13133202C2314yes—
427#13133201C2314yes—
428#13133201C2314yes—
429#13133200C2314yes—
430#13133200C2314yes—
431#13133200C2314yes—
432#13133200C2314yes—
433#13133199C2314yes—
434#13133199C2314yes—
435#13133199C2314yes—
436#13133199C2312yes—
437#13133199C2314yes—
438#13133199C2314yes—
439#13133199C2312yes—
440#13133199C2314yes—
441#13133199C2314yes—
442#13133199C2312yes—
443#13133199C2312yes—
444#13133199C2314yes—
445#13133198C2314yes—
446#13133198C2314yes—
447#13133198C2314yes—
448#13133198C2314yes—
449#13133197C2314yes—
450#13133197C2312yes—
451#13133197C2312yes—
452#13133197C2312yes—
453#13133197C2312yes—
454#13133196C2314yes—
455#13133196C2312yes—
456#13133196C2312yes—
457#13133196C2312yes—
458#13133196C2312yes—
459#13133195C2314yes—
460#13133195C2314yes—
461#13133195C2314yes—
462#13133195C2314yes—
463#13133195C2312yes—
464#13133195C2314yes—
465#13133195C2312yes—
466#13133195C2314yes—
467#13133195C2314yes—
468#13133195C2314yes—
469#13133195C2312yes—
470#13133195C2312yes—
471#13133194C2314yes—
472#13133194C2314yes—
473#13133194C2314yes—
474#13133194C2312yes—
475#13133194C2312yes—
476#13133194C2314yes—
477#13133194C2312yes—
478#13133194C2312yes—
479#13133193C2314yes—
480#13133193C2314yes—
481#13133193C2314yes—
482#13133193C2314yes—
483#13133193C2314yes—
484#13133193C2312yes—
485#13133193C2312yes—
486#13133193C2312yes—
487#13133193C2314yes—
488#13133193C2314yes—
489#13133193C2312yes—
490#13133192C2314yes—
491#13133192C2312yes—
492#13133192C2312yes—
493#13133192C2314yes—
494#13133192C2312yes—
495#13133192C2312yes—
496#13133191C2312yes—
497#13133191C2314yes—
498#13133191C2312yes—
499#13133191C2314yes—
500#13133191C2312yes—
501#13133191C2314yes—
502#13133191C2312yes—
503#13133191C2312yes—
504#13133191C2312yes—
505#13133190C2314yes—
506#13133190C2314yes—
507#13133190C2314yes—
508#13133190C2312yes—
509#13133190C2314yes—
510#13133190C2314yes—
511#13133190C2312yes—
512#13133190C2314yes—
513#13133190C2314yes—
514#13133190C2314yes—
515#13133190C2312yes—
516#13133190C2312yes—
517#13133189C2314yes—
518#13133189C2312yes—
519#13133189C2314yes—
520#13133189C2312yes—
521#13133189C2314yes—
522#13133189C2312yes—
523#13133189C2314yes—
524#13133189C2312yes—
525#13133189C2314yes—
526#13133189C2312yes—
527#13133189C2314yes—
528#13133189C2314yes—
529#13133189C2314yes—
530#13133189C2314yes—
531#13133189C2312yes—
532#13133189C2314yes—
533#13133189C2312yes—
534#13133189C2312yes—
535#13133188C2314yes—
536#13133188C2312yes—
537#13133188C2312yes—
538#13133188C2314yes—
539#13133188C2312yes—
540#13133188C2312yes—
541#13133187C2312yes—
542#13133187C2314yes—
543#13133187C2312yes—
544#13133187C2312yes—
545#13133187C2314yes—
546#13133187C2312yes—
547#13133185C2314yes—
548#13133185C2312yes—
549#13133185C2312yes—
550#13133185C2312yes—
551#13133185C2314yes—
552#13133185C2312yes—
553Q8×Dic53C2314yes—
554Q8×Dic53C2311yescharacteristic
555Q8×Dic53C2311yescharacteristic
556Q8×Dic53C2312yes—
557Q8×Dic53C2312yes—
558C4×Dic106C2314yes—
559C4×Dic106C2314yes—
560C4×Dic106C2311yescharacteristic
561C4×Dic106C2311yescharacteristic
562C4×Dic106C2312yes—
563C4×Dic106C2314yes—
564C4×Dic106C2312yes—
565C4×Dic106C2312yes—
566C4×Dic106C2312yes—
567#13133182C2314yes—
568#13133182C2314yes—
569#13133182C2311yescharacteristic
570#13133182C2311yescharacteristic
571#13133182C2312yes—
572#13133182C2314yes—
573#13133182C2312yes—
574#13133182C2312yes—
575#13133182C2312yes—
576C4×D212C2314yes—
577C4×D212C2314yes—
578C4×D212C2311yescharacteristic
579C4×D212C2312yes—
580C4×D212C2312yes—
581C4×D212C2311yescharacteristic
582C4×D212C2312yes—
583C4×D212C2312yes—
584C4×D212C2312yes—
585C4×D212C2314yes—
586C4×D212C2312yes—
587D4×Dic53C2314yes—
588D4×Dic53C2311yescharacteristic
589D4×Dic53C2312yes—
590D4×Dic53C2314yes—
591D4×Dic53C2314yes—
592D4×Dic53C2312yes—
593D4×Dic53C2314yes—
594D4×Dic53C2311yescharacteristic
595D4×Dic53C2312yes—
596D4×Dic53C2312yes—
597#13133179C2314yes—
598#13133179C2311yescharacteristic
599#13133179C2314yes—
600#13133179C2314yes—
601#13133179C2311yescharacteristic
602#13133179C2312yes—
603#13133179C2312yes—
604#13133179C2312yes—
605#13133179C2314yes—
606#13133179C2312yes—
607C4×C22⋊D53C2314yes—
608C4×C22⋊D53C2312yes—
609C4×C22⋊D53C2312yes—
610C4×C22⋊D53C2314yes—
611C4×C22⋊D53C2312yes—
612C4×C22⋊D53C2314yes—
613C4×C22⋊D53C2314yes—
614C4×C22⋊D53C2314yes—
615C4×C22⋊D53C2314yes—
616C4×C22⋊D53C2314yes—
617C4×C22⋊D53C2312yes—
618C4×C22⋊D53C2312yes—
619C4×C22⋊D53C2312yes—
620C4×C22⋊D53C2314yes—
621C4×C22⋊D53C2314yes—
622C4×C22⋊D53C2314yes—
623C4×C22⋊D53C2312yes—
624C4×C22⋊D53C2312yes—
625C4×C22⋊D53C2312yes—
626C4×C22⋊D53C2312yes—
627#13133177C2314yes—
628#13133177C2312yes—
629#13133177C2314yes—
630#13133177C2314yes—
631#13133177C2314yes—
632#13133177C2314yes—
633#13133177C2314yes—
634#13133177C2314yes—
635#13133177C2314yes—
636#13133177C2314yes—
637#13133177C2312yes—
638#13133177C2314yes—
639#13133177C2314yes—
640#13133177C2314yes—
641#13133177C2312yes—
642#13133177C2312yes—
643#13133177C2312yes—
644#13133177C2312yes—
645#13133176C2314yes—
646#13133176C2312yes—
647#13133176C2312yes—
648#13133176C2311yescharacteristic
649#13133176C2312yes—
650#13133175C2312yes—
651#13133175C2312yes—
652#13133175C2314yes—
653#13133175C2314yes—
654#13133175C2314yes—
655#13133175C2312yes—
656#13133175C2312yes—
657#13133175C2312yes—
658#13133175C2311yescharacteristic
659#13133175C2311yescharacteristic
660#13133175C2312yes—
661#13133175C2312yes—
662#13133175C2312yes—
663#13133175C2312yes—
664#13133175C2312yes—
665#13133175C2314yes—
666#13133174C2314yes—
667#13133174C2314yes—
668#13133174C2312yes—
669#13133174C2312yes—
670#13133174C2314yes—
671#13133174C2314yes—
672#13133174C2314yes—
673#13133174C2312yes—
674#13133174C2314yes—
675#13133174C2312yes—
676#13133174C2311yescharacteristic
677#13133174C2311yescharacteristic
678#13133174C2311yescharacteristic
679#13133174C2311yescharacteristic
680#13133174C2311yescharacteristic
681#13133174C2311yescharacteristic
682#13133174C2311yescharacteristic
683#13133174C2311yescharacteristic
684#13133174C2312yes—
685#13133174C2312yes—
686#13133174C2312yes—
687#13133173C2314yes—
688#13133173C2314yes—
689#13133173C2314yes—
690#13133173C2314yes—
691#13133173C2314yes—
692#13133173C2312yes—
693#13133173C2312yes—
694#13133173C2312yes—
695#13133173C2314yes—
696C2×C4⋊Dic53C2312yes—
697C2×C4⋊Dic53C2312yes—
698C2×C4⋊Dic53C2312yes—
699C2×C4⋊Dic53C2311yescharacteristic
700C2×C4⋊Dic53C2311yescharacteristic
701C2×#11719919C2312yes—
702C2×#11719919C2314yes—
703C2×#11719919C2312yes—
704C2×#11719919C2312yes—
705C2×#11719919C2312yes—
706C2×#11719919C2312yes—
707C2×#11719919C2312yes—
708C2×#11719919C2312yes—
709C2×#11719919C2311yescharacteristic
710C2×#11719919C2311yescharacteristic
711C4⋊C4×D53C2312yes—
712C4⋊C4×D53C2312yes—
713C4⋊C4×D53C2312yes—
714C4⋊C4×D53C2314yes—
715C4⋊C4×D53C2312yes—
716C4⋊C4×D53C2314yes—
717C4⋊C4×D53C2312yes—
718C4⋊C4×D53C2312yes—
719C4⋊C4×D53C2312yes—
720C4⋊C4×D53C2312yes—
721C4⋊C4×D53C2312yes—
722C4⋊C4×D53C2312yes—
723C4⋊C4×D53C2311yescharacteristic
724C4⋊C4×D53C2314yes—
725C4⋊C4×D53C2311yescharacteristic
726C2×#11719921C2314yes—
727C2×#11719921C2312yes—
728C2×#11719921C2312yes—
729C2×#11719921C2311yescharacteristic
730C2×#11719921C2311yescharacteristic
731C2×#11719921C2312yes—
732C22⋊C4×D53C2312yes—
733C22⋊C4×D53C2312yes—
734C22⋊C4×D53C2314yes—
735C22⋊C4×D53C2314yes—
736C22⋊C4×D53C2314yes—
737C22⋊C4×D53C2312yes—
738C22⋊C4×D53C2314yes—
739C2×C4×Dic53C2311yescharacteristic
740C2×C4×Dic53C2312yes—
741C2×C4×Dic53C2312yes—
742C2×C4×Dic53C2314yes—
743C42×D53C2312yes—
744C42×D53C2314yes—
745C42×D53C2314yes—
746C42×D53C2312yes—
747C42×D53C2312yes—
748C2×#41×C53C2311yescharacteristic
749C2×#41×C53C2311yescharacteristic
750C2×#41×C53C2311yescharacteristic
751C2×#41×C53C2314yes—
752C22×Q8×C53C2312yes—
753C4⋊Q8×C53C2312yes—
754C4⋊Q8×C53C2312yes—
755C4⋊Q8×C53C2312yes—
756C4⋊Q8×C53C2312yes—
757C4⋊Q8×C53C2311yescharacteristic
758#127×C53C2311yescharacteristic
759#126×C53C2314yes—
760#126×C53C2314yes—
761#125×C53C2314yes—
762#124×C53C2314yes—
763#124×C53C2314yes—
764#124×C53C2314yes—
765#124×C53C2311yescharacteristic
766#124×C53C2311yescharacteristic
767#123×C53C2314yes—
768#123×C53C2314yes—
769C22⋊Q8×C53C2314yes—
770C22⋊Q8×C53C2314yes—
771C22⋊Q8×C53C2312yes—
772C22⋊Q8×C53C2314yes—
773C22⋊Q8×C53C2312yes—
774C22⋊Q8×C53C2312yes—
775C22⋊Q8×C53C2312yes—
776#121×C53C2312yes—
777#121×C53C2314yes—
778#121×C53C2312yes—
779#121×C53C2312yes—
780#121×C53C2312yes—
781#121×C53C2312yes—
782#121×C53C2314yes—
783#121×C53C2314yes—
784#121×C53C2312yes—
785C4×Q8×C53C2311yescharacteristic
786C4×Q8×C53C2311yescharacteristic
787C4×Q8×C53C2312yes—
788C4×Q8×C53C2312yes—
789C4×Q8×C53C2314yes—
790C4×D4×C53C2314yes—
791C4×D4×C53C2312yes—
792C4×D4×C53C2312yes—
793C4×D4×C53C2311yescharacteristic
794C4×D4×C53C2311yescharacteristic
795C4×D4×C53C2312yes—
796C4×D4×C53C2312yes—
797C4×D4×C53C2314yes—
798C4×D4×C53C2314yes—
799C4×D4×C53C2312yes—
800C4×D4×C53C2312yes—
801#117×C53C2311yescharacteristic
802#117×C53C2312yes—
803#117×C53C2314yes—
804#117×C53C2312yes—
805#117×C53C2312yes—
806C2×C4⋊C4×C53C2312yes—
807C2×C4⋊C4×C53C2312yes—
808C2×C4⋊C4×C53C2311yescharacteristic
809C2×C4⋊C4×C53C2311yescharacteristic
810C2×C4⋊C4×C53C2312yes—
811C2×C42×C53C2311yescharacteristic
812C2×C42×C53C2312yes—
813C23×D53C2412yes—
814C23×D53C2412yes—
815C23×D53C2412yes—
816C23×D53C2411yescharacteristic
817#41×C53—24no—
818#41×C53—24no—
819#41×C53—24no—
820#41×C53—84no—
821C2×Q8×C53—82no—
822C2×Q8×C53C2411yescharacteristic
823C2×Q8×C53C2411yescharacteristic
824C2×Q8×C53C2411yescharacteristic
825C2×Q8×C53C2414yes—
826C2×Q8×C53C2414yes—
827C2×D4×C53C2411yescharacteristic
828C2×D4×C53C2412yes—
829C2×D4×C53C2412yes—
830C2×D4×C53C2412yes—
831C2×D4×C53C2411yescharacteristic
832C2×D4×C53C2411yescharacteristic
833C2×D4×C53C2412yes—
834C2×D4×C53C2412yes—
835C2×D4×C53C2414yes—
836C2×D4×C53C2414yes—
837C22×C4×C53C2412yes—
838C22×C4×C53C2412yes—
839C22×C4×C53C2412yes—
840C22×C4×C53C2411yescharacteristic
841C22×C4×C53C2412yes—
842C22×C4×C53C2411yescharacteristic
843C22×C4×C53C2412yes—
844C22×C4×C53C2412yes—
845C22×C4×C53C2412yes—
846C22×C4×C53C2414yes—
847C22×C4×C53C2414yes—
848C22×C4×C53C2411yescharacteristic
849C2×C22⋊D53C2412yes—
850C2×C22⋊D53C2412yes—
851C2×C22⋊D53C2412yes—
852C2×C22⋊D53C2412yes—
853C2×C22⋊D53C2412yes—
854C2×C22⋊D53C2412yes—
855C2×C22⋊D53C2412yes—
856C2×C22⋊D53C2412yes—
857C2×C22⋊D53C2412yes—
858C2×C22⋊D53C2414yes—
859C2×C22⋊D53C2414yes—
860C2×C22⋊D53C2412yes—
861C2×C22⋊D53C2414yes—
862C2×C22⋊D53C2412yes—
863C2×C22⋊D53C2412yes—
864C2×C22⋊D53C2412yes—
865C2×C22⋊D53C2414yes—
866C22×Dic53C2412yes—
867C22×Dic53C2412yes—
868C22×Dic53C2412yes—
869C22×Dic53C2411yescharacteristic
870C22×Dic53C2412yes—
871C22×Dic53C2411yescharacteristic
872C22×Dic53C2412yes—
873C22×Dic53C2412yes—
874C22×Dic53C2414yes—
875C22×Dic53C2412yes—
876C22×Dic53C2414yes—
877C22×Dic53C2411yescharacteristic
878#11719949—24no—
879#11719949—24no—
880#11719949—24no—
881#11719949—84no—
882Q8×D53—24no—
883Q8×D53—24no—
884Q8×D53—24no—
885#11719947—28no—
886#11719947—28no—
887#11719947—28no—
888#11719947—24no—
889#11719947—24no—
890#11719947—24no—
891#11719947—84no—
892D4×D53—28no—
893D4×D53—28no—
894D4×D53—28no—
895D4×D53—24no—
896D4×D53—24no—
897D4×D53—24no—
898D4×D53—84no—
899#11719945—24no—
900#11719945—24no—
901#11719945—24no—
902#11719945—28no—
903#11719945—28no—
904#11719945—28no—
905#11719945—84no—
906C2×D212C2412yes—
907C2×D212C2412yes—
908C2×D212C2412yes—
909C2×D212C2411yescharacteristic
910C2×D212C2411yescharacteristic
911C2×D212C2411yescharacteristic
912C2×D212C2412yes—
913C2×D212C2414yes—
914C2×D212C2412yes—
915C2×D212C2414yes—
916C2×C4×D53—28no—
917C2×C4×D53—28no—
918C2×C4×D53—28no—
919C2×C4×D53—84no—
920C2×C4×D53—82no—
921C2×C4×D53#4118yescomplemented
922C2×C4×D53C2412yes—
923C2×C4×D53C2412yes—
924C2×C4×D53C2412yes—
925C2×C4×D53C2412yes—
926C2×C4×D53C2412yes—
927C2×C4×D53C2412yes—
928C2×C4×D53C2412yes—
929C2×C4×D53C2412yes—
930C2×C4×D53C2412yes—
931C2×C4×D53C2412yes—
932C2×C4×D53C2412yes—
933C2×C4×D53C2414yes—
934C2×C4×D53C2414yes—
935C2×C4×D53C2412yes—
936C2×C4×D53C2412yes—
937C2×C4×D53C2412yes—
938C2×C4×D53C2412yes—
939C2×C4×D53C2414yes—
940C2×C4×D53C2414yes—
941C2×C4×D53C2414yes—
942C2×C4×D53C2414yes—
943C2×C4×D53C2411yescharacteristic
944C2×C4×D53C2411yescharacteristic
945C2×C4×D53C2411yescharacteristic
946C2×C4×D53C2411yescharacteristic
947C2×Dic106—82no—
948C2×Dic106C2412yes—
949C2×Dic106C2412yes—
950C2×Dic106C2412yes—
951C2×Dic106C2411yescharacteristic
952C2×Dic106C2411yescharacteristic
953C2×Dic106C2411yescharacteristic
954C2×Dic106C2414yes—
955C2×Dic106C2414yes—
956C4⋊C4×C53C2411yescharacteristic
957C4⋊C4×C53C2412yes—
958C4⋊C4×C53C2412yes—
959C4⋊C4×C53C2414yes—
960C4⋊C4×C53C2412yes—
961C4⋊C4×C53C2412yes—
962C4⋊C4×C53C2414yes—
963C4⋊C4×C53C2414yes—
964C4⋊C4×C53C2414yes—
965C4⋊C4×C53C2411yescharacteristic
966C4⋊C4×C53C2412yes—
967C4⋊C4×C53C2412yes—
968C4⋊C4×C53C2412yes—
969C4⋊C4×C53C2412yes—
970C4⋊C4×C53C2414yes—
971C4⋊C4×C53C2414yes—
972C22⋊C4×C53C2412yes—
973C22⋊C4×C53C2414yes—
974C22⋊C4×C53C2414yes—
975C22⋊C4×C53C2412yes—
976C22⋊C4×C53C2412yes—
977C22⋊C4×C53C2414yes—
978C22⋊C4×C53C2414yes—
979C22⋊C4×C53C2414yes—
980C22⋊C4×C53C2414yes—
981C22⋊C4×C53C2412yes—
982C22⋊C4×C53C2412yes—
983C22⋊C4×C53C2412yes—
984C22⋊C4×C53C2412yes—
985C42×C53C2411yescharacteristic
986C42×C53C2412yes—
987C42×C53C2411yescharacteristic
988C42×C53C2412yes—
989C42×C53C2411yescharacteristic
990C42×C53C2411yescharacteristic
991C42×C53C2412yes—
992C42×C53C2414yes—
993C42×C53C2414yes—
994C22⋊Dic53C2412yes—
995C22⋊Dic53C2412yes—
996C22⋊Dic53C2414yes—
997C22⋊Dic53C2414yes—
998C22⋊Dic53C2412yes—
999C22⋊Dic53C2414yes—
1000C22⋊Dic53C2414yes—
1001C22⋊Dic53C2412yes—
1002C22⋊Dic53C2414yes—
1003C22⋊Dic53C2412yes—
1004C22⋊Dic53C2412yes—
1005C22⋊Dic53C2414yes—
1006C22⋊Dic53C2412yes—
1007#11719921C2412yes—
1008#11719921C2412yes—
1009#11719921C2411yescharacteristic
1010#11719921C2411yescharacteristic
1011#11719921C2414yes—
1012#11719921C2414yes—
1013#11719921C2414yes—
1014#11719921C2414yes—
1015#11719921C2414yes—
1016#11719921C2414yes—
1017#11719921C2414yes—
1018#11719921C2411yescharacteristic
1019#11719921C2411yescharacteristic
1020#11719921C2411yescharacteristic
1021#11719921C2411yescharacteristic
1022#11719921C2412yes—
1023#11719921C2412yes—
1024#11719921C2411yescharacteristic
1025#11719921C2411yescharacteristic
1026#11719921C2412yes—
1027#11719921C2412yes—
1028#11719921C2414yes—
1029#11719921C2414yes—
1030#11719921C2414yes—
1031#11719921C2412yes—
1032#11719921C2412yes—
1033#11719921C2412yes—
1034#11719921C2414yes—
1035#11719921C2414yes—
1036#11719921C2412yes—
1037#11719921C2412yes—
1038#11719921C2414yes—
1039#11719921C2414yes—
1040#11719921C2412yes—
1041#11719921C2412yes—
1042#11719921C2412yes—
1043C4⋊Dic53C2411yescharacteristic
1044C4⋊Dic53C2412yes—
1045C4⋊Dic53C2412yes—
1046C4⋊Dic53C2414yes—
1047C4⋊Dic53C2411yescharacteristic
1048C4⋊Dic53C2412yes—
1049C4⋊Dic53C2412yes—
1050C4⋊Dic53C2412yes—
1051C4⋊Dic53C2414yes—
1052C4⋊Dic53C2412yes—
1053C4⋊Dic53C2414yes—
1054C4⋊Dic53C2414yes—
1055C4⋊Dic53C2414yes—
1056C4⋊Dic53C2412yes—
1057C4⋊Dic53C2414yes—
1058C4⋊Dic53C2412yes—
1059#11719919C2412yes—
1060#11719919C2414yes—
1061#11719919C2412yes—
1062#11719919C2411yescharacteristic
1063#11719919C2411yescharacteristic
1064#11719919C2414yes—
1065#11719919C2414yes—
1066#11719919C2414yes—
1067#11719919C2414yes—
1068#11719919C2414yes—
1069#11719919C2414yes—
1070#11719919C2414yes—
1071#11719919C2411yescharacteristic
1072#11719919C2411yescharacteristic
1073#11719919C2414yes—
1074#11719919C2414yes—
1075#11719919C2414yes—
1076#11719919C2414yes—
1077#11719919C2411yescharacteristic
1078#11719919C2411yescharacteristic
1079#11719919C2412yes—
1080#11719919C2412yes—
1081#11719919C2411yescharacteristic
1082#11719919C2411yescharacteristic
1083#11719919C2412yes—
1084#11719919C2412yes—
1085#11719919C2414yes—
1086#11719919C2414yes—
1087#11719919C2414yes—
1088#11719919C2414yes—
1089#11719919C2412yes—
1090#11719919C2414yes—
1091#11719919C2414yes—
1092#11719919C2412yes—
1093#11719919C2412yes—
1094#11719919C2412yes—
1095C4×Dic53C2412yes—
1096C4×Dic53C2412yes—
1097C4×Dic53C2411yescharacteristic
1098C4×Dic53C2412yes—
1099C4×Dic53C2414yes—
1100C4×Dic53C2412yes—
1101C4×Dic53C2412yes—
1102C4×Dic53C2414yes—
1103C4×Dic53C2414yes—
1104C4×Dic53C2414yes—
1105C4×Dic53C2412yes—
1106C4×Dic53C2414yes—
1107C4×Dic53C2412yes—
1108C4×Dic53C2411yescharacteristic
1109C4×Dic53C2412yes—
1110C4×Dic53C2414yes—
1111C4×Dic53C2412yes—
1112C4×Dic53C2411yescharacteristic
1113C4×Dic53C2411yescharacteristic
1114C4×Dic53C2414yes—
1115C4×Dic53C2414yes—
1116C23×C53C2512yes—
1117C23×C53C2512yes—
1118C23×C53C2512yes—
1119C23×C53C2511yescharacteristic
1120C22×D53—24no—
1121C22×D53—24no—
1122C22×D53—24no—
1123C22×D53—41no—
1124C22×D53—42no—
1125C22×D53—41no—
1126C22×D53—42no—
1127C22×D53—42no—
1128C22×D53—42no—
1129C22×D53—42no—
1130C22×D53—42no—
1131C22×D53C2×#4114yes—
1132C22×D53C2512yes—
1133C22×D53C2512yes—
1134C22×D53C2512yes—
1135C22×D53C2511yescharacteristic
1136C22×D53C2511yescharacteristic
1137Q8×C53—22no—
1138Q8×C53—22no—
1139Q8×C53—22no—
1140Q8×C53—44no—
1141Q8×C53—44no—
1142D4×C53—24no—
1143D4×C53—24no—
1144D4×C53—24no—
1145D4×C53—22no—
1146D4×C53—22no—
1147D4×C53—22no—
1148D4×C53—44no—
1149D4×C53—44no—
1150D4×C53—42no—
1151D4×C53—42no—
1152C2×C4×C53—24no—
1153C2×C4×C53—24no—
1154C2×C4×C53—24no—
1155C2×C4×C53—42no—
1156C2×C4×C53—42no—
1157C2×C4×C53—44no—
1158C2×C4×C53—44no—
1159C2×C4×C53—42no—
1160C2×C4×C53—41no—
1161C2×C4×C53—41no—
1162C2×C4×C53—42no—
1163C2×C4×C53C2×#4114yes—
1164C2×C4×C53C2514yes—
1165C2×C4×C53C2512yes—
1166C2×C4×C53C2512yes—
1167C2×C4×C53C2512yes—
1168C2×C4×C53C2512yes—
1169C2×C4×C53C2512yes—
1170C2×C4×C53C2514yes—
1171C2×C4×C53C2511yescharacteristic
1172C2×C4×C53C2511yescharacteristic
1173C2×C4×C53C2511yescharacteristic
1174C2×C4×C53C2511yescharacteristic
1175C2×C4×C53C2511yescharacteristic
1176C2×C4×C53C2511yescharacteristic
1177C22⋊D53—24no—
1178C22⋊D53—24no—
1179C22⋊D53—24no—
1180C22⋊D53—24no—
1181C22⋊D53—24no—
1182C22⋊D53—24no—
1183C22⋊D53—24no—
1184C22⋊D53—24no—
1185C22⋊D53—24no—
1186C22⋊D53—42no—
1187C22⋊D53—44no—
1188C22⋊D53—44no—
1189C22⋊D53—42no—
1190C22⋊D53—42no—
1191C22⋊D53—44no—
1192C22⋊D53—44no—
1193C22⋊D53—42no—
1194C2×Dic53—24no—
1195C2×Dic53—24no—
1196C2×Dic53—24no—
1197C2×Dic53—41no—
1198C2×Dic53—42no—
1199C2×Dic53—44no—
1200C2×Dic53—42no—
1201C2×Dic53—44no—
1202C2×Dic53—42no—
1203C2×Dic53—41no—
1204C2×Dic53—42no—
1205C2×Dic53C2×#4114yes—
1206C2×Dic53C2511yescharacteristic
1207C2×Dic53C2511yescharacteristic
1208C2×Dic53C2514yes—
1209C2×Dic53C2512yes—
1210C2×Dic53C2512yes—
1211C2×Dic53C2512yes—
1212C2×Dic53C2512yes—
1213C2×Dic53C2512yes—
1214C2×Dic53C2511yescharacteristic
1215C2×Dic53C2514yes—
1216C2×Dic53C2511yescharacteristic
1217C2×Dic53C2511yescharacteristic
1218C2×Dic53C2511yescharacteristic
1219D212—24no—
1220D212—24no—
1221D212—24no—
1222D212—22no—
1223D212—22no—
1224D212—22no—
1225D212—42no—
1226D212—44no—
1227D212—44no—
1228D212—42no—
1229C4×D53—24no—
1230C4×D53—24no—
1231C4×D53—24no—
1232C4×D53—24no—
1233C4×D53—24no—
1234C4×D53—24no—
1235C4×D53—24no—
1236C4×D53—24no—
1237C4×D53—24no—
1238C4×D53—44no—
1239C4×D53—42no—
1240C4×D53—44no—
1241C4×D53—44no—
1242C4×D53—44no—
1243C4×D53—42no—
1244C4×D53—42no—
1245C4×D53—42no—
1246C4×D53—44no—
1247C4×D53—42no—
1248C4×D53—44no—
1249C4×D53—42no—
1250C4×D53C2×#4114yes—
1251C4×D53C2×#4114yes—
1252C4×D53C2×#4114yes—
1253C4×D53C2×#4114yes—
1254Dic106—22no—
1255Dic106—22no—
1256Dic106—22no—
1257Dic106—24no—
1258Dic106—24no—
1259Dic106—24no—
1260Dic106—44no—
1261Dic106—44no—
1262#62856—531nomaximal, Sylow
1263C22×C53—21no—
1264C22×C53—21no—
1265C22×C53—22no—
1266C22×C53—22no—
1267C22×C53—22no—
1268C22×C53—22no—
1269C22×C53—22no—
1270C22×C53—22no—
1271C22×C53—22no—
1272C22×C53—22no—
1273C22×C53—22no—
1274C22×C53C22×#4112yes—
1275C22×C53C2611yescharacteristic
1276C2×D53—21no—
1277C2×D53—21no—
1278C2×D53—21no—
1279C2×D53—21no—
1280C2×D53—22no—
1281C2×D53—22no—
1282C2×D53—22no—
1283C2×D53—22no—
1284C2×D53—22no—
1285C2×D53—22no—
1286C2×D53—22no—
1287C2×D53—22no—
1288C2×D53—22no—
1289C2×D53—44no—
1290C2×D53—48no—
1291C2×D53—84no—
1292C2×D53—84no—
1293C2×D53C22×#4112yes—
1294C2×D53C22×#4112yes—
1295C4×C53—22no—
1296C4×C53—22no—
1297C4×C53—22no—
1298C4×C53—24no—
1299C4×C53—22no—
1300C4×C53—24no—
1301C4×C53—21no—
1302C4×C53—21no—
1303C4×C53—22no—
1304C4×C53—21no—
1305C4×C53—21no—
1306C4×C53C22×#4112yes—
1307C4×C53C22×#4112yes—
1308Dic53—22no—
1309Dic53—22no—
1310Dic53—22no—
1311Dic53—21no—
1312Dic53—21no—
1313Dic53—24no—
1314Dic53—22no—
1315Dic53—22no—
1316Dic53—21no—
1317Dic53—24no—
1318Dic53—21no—
1319Dic53C22×#4112yes—
1320Dic53C22×#4112yes—
1321#3512—534no—
1322#3512—531no—
1323#3512—531no—
1324#3512—531no—
1325#3512—531no—
1326#3511—534no—
1327#3511—531no—
1328#3511—531no—
1329#3511—531no—
1330#3511D5311yescharacteristic, complemented
1331#3505—534no—
1332#3505—534no—
1333#3495—532no—
1334#3495—532no—
1335#3495—532no—
1336#3495—532no—
1337#3494—532no—
1338#3494—532no—
1339#3494—532no—
1340#3494—532no—
1341#3493—532no—
1342#3493—532no—
1343#3492—532no—
1344#3492—532no—
1345#3461—532no—
1346#3461—532no—
1347#3460—532no—
1348#3460—532no—
1349C2×#544—531no—
1350#3449—531no—
1351#3449—531no—
1352C2×#537—531no—
1353#3428—531no—
1354#3428—531no—
1355C2×#520—531no—
1356C2×C53—22no—
1357C2×C53—42no—
1358C2×C53—42no—
1359C2×C53—42no—
1360C2×C53C23×#4111yescharacteristic
1361C2×C53H(7,𝔽2)11yescharacteristic
1362C2×C532−1+611yescharacteristic
1363D53—22no—
1364D53—22no—
1365D53—42no—
1366D53—42no—
1367D53—42no—
1368C22×#41—531no—
1369C22×#41—531no—
1370C22×#41—531no—
1371#556—532no—
1372#556—534no—
1373#556—532no—
1374#556—534no—
1375#556—532no—
1376#556C2×D5312yescomplemented
1377#555—532no—
1378#555—534no—
1379#555—534no—
1380#555—532no—
1381#555—532no—
1382#555C2×D5312yescomplemented
1383#554—532no—
1384#554—534no—
1385#554—534no—
1386#554—532no—
1387#554—532no—
1388#554C2×D5312yescomplemented
1389#553—534no—
1390#553—534no—
1391#553—534no—
1392#553—534no—
1393#553—534no—
1394#553—534no—
1395#553—534no—
1396#553—532no—
1397#553—532no—
1398#553—534no—
1399#553—532no—
1400#553—532no—
1401#553—534no—
1402#553—534no—
1403#553—534no—
1404#553—534no—
1405#553—534no—
1406#553—534no—
1407#553—532no—
1408#553—532no—
1409#553—532no—
1410#553—532no—
1411#553—534no—
1412#553C2×D5314yescomplemented
1413#552—534no—
1414#552—534no—
1415#552—534no—
1416#552—534no—
1417#552—534no—
1418#552—532no—
1419#552—534no—
1420#552—532no—
1421#552—532no—
1422#552—532no—
1423#552—534no—
1424#552—532no—
1425#552—532no—
1426#552—534no—
1427#552—532no—
1428#552—532no—
1429#551—534no—
1430#551—534no—
1431#551—534no—
1432#551—534no—
1433#551—534no—
1434#551—534no—
1435#551—534no—
1436#551—534no—
1437#548—534no—
1438#548—534no—
1439#548—534no—
1440#548C2×D5314yescomplemented
1441#547—534no—
1442#547—532no—
1443#547—534no—
1444#547—532no—
1445#547—532no—
1446#547C2×D5312yescomplemented
1447#546—534no—
1448#546—534no—
1449#546—534no—
1450#546—534no—
1451#544—532no—
1452#544—532no—
1453#544—532no—
1454#544—532no—
1455#544—532no—
1456#544—532no—
1457#544—532no—
1458#544—532no—
1459#542—532no—
1460#542—532no—
1461#542—534no—
1462#542—534no—
1463#542—534no—
1464#542—534no—
1465#542—532no—
1466#542—532no—
1467#542—532no—
1468#542—532no—
1469#542C2×D5312yescomplemented
1470#542C2×D5312yescomplemented
1471#541—532no—
1472#541—534no—
1473#541—534no—
1474#541—532no—
1475#541—532no—
1476#541—532no—
1477#540—532no—
1478#540—534no—
1479#540—534no—
1480#540—532no—
1481#540—532no—
1482#540—532no—
1483#539—534no—
1484#539—534no—
1485#539—534no—
1486#539—534no—
1487#538—534no—
1488#538—534no—
1489#538—534no—
1490#538—534no—
1491#537—531no—
1492#537—531no—
1493#537—531no—
1494#537—531no—
1495#537—532no—
1496#537—532no—
1497#537—532no—
1498#537—532no—
1499#537—534no—
1500#537—532no—
1501#537—532no—
1502#537—531no—
1503#537—531no—
1504#537C2×D5311yescharacteristic, complemented
1505#537C2×D5311yescharacteristic, complemented
1506#536—531no—
1507#536—531no—
1508#536—531no—
1509#536—531no—
1510#536—532no—
1511#536—532no—
1512#535—531no—
1513#535—531no—
1514#535—531no—
1515#535—531no—
1516#535—532no—
1517#535—532no—
1518#534—532no—
1519#534—534no—
1520#534—532no—
1521#533—532no—
1522#533—532no—
1523#533—534no—
1524#533—534no—
1525#533—532no—
1526#533C2×D5312yescomplemented
1527#532—531no—
1528#532—531no—
1529#532—534no—
1530#532—532no—
1531#532—534no—
1532#532—534no—
1533#532—532no—
1534#532—532no—
1535#532—531no—
1536#532C2×D5311yescharacteristic, complemented
1537#532C2×D5312yescomplemented
1538C2×C4⋊Q8—532no—
1539C2×C4⋊Q8—531no—
1540C2×C4⋊Q8C2×D5311yescharacteristic, complemented
1541#529—534no—
1542#529—534no—
1543#529—532no—
1544#529—534no—
1545#529—532no—
1546#529—534no—
1547#529—532no—
1548#529—532no—
1549#529—534no—
1550#529—532no—
1551#529—534no—
1552#529—532no—
1553#529—534no—
1554#529—534no—
1555#529—532no—
1556#529—532no—
1557C2×#125—532no—
1558C2×#125—531no—
1559C2×#125—531no—
1560#525—534no—
1561#525—534no—
1562#525—532no—
1563#525—532no—
1564#525—534no—
1565#525—532no—
1566#525—532no—
1567#525—532no—
1568#525—532no—
1569#525—532no—
1570#525—532no—
1571#525—534no—
1572C2×C22⋊Q8—532no—
1573C2×C22⋊Q8—532no—
1574C2×C22⋊Q8—532no—
1575C2×C22⋊Q8—532no—
1576C2×#121—534no—
1577C2×#121—532no—
1578C2×#121—532no—
1579#520—531no—
1580#520—531no—
1581#520—532no—
1582#520—531no—
1583#520—531no—
1584#520—532no—
1585#520—534no—
1586#520—531no—
1587#520—531no—
1588#520—532no—
1589#520—532no—
1590#520—532no—
1591#520—531no—
1592#520—532no—
1593#520—531no—
1594#520—532no—
1595#520—531no—
1596#520—532no—
1597#520—531no—
1598#520C2×D5311yescharacteristic, complemented
1599#520C2×D5311yescharacteristic, complemented
1600#519—531no—
1601#519—531no—
1602#519—532no—
1603#518—532no—
1604#518—534no—
1605#518—532no—
1606#518—531no—
1607#518—531no—
1608#518—532no—
1609C4×#41—531no—
1610C4×#41—532no—
1611C4×#41—532no—
1612C4×#41—534no—
1613C4×#41—532no—
1614C4×#41—531no—
1615C4×#41—532no—
1616C4×#41—531no—
1617C4×#41C2×D5311yescharacteristic, complemented
1618C2×C4×Q8—532no—
1619C2×C4×D4—534no—
1620C2×C4×D4—532no—
1621C2×#117—531no—
1622C2×#117—532no—
1623C2×#117—532no—
1624C2×#117—532no—
1625C2×#117—531no—
1626C2×#117—532no—
1627C2×#117—531no—
1628C2×#117—532no—
1629C22×C4⋊C4—531no—
1630C22×C4⋊C4—532no—
1631C53#6285611yescharacteristic, complemented, Sylow
1632C2×#41—531no—
1633C2×#41—531no—
1634C2×#41—531no—
1635C2×#41—534no—
1636C2×#41—531no—
1637C2×#41—532no—
1638C2×#41—531no—
1639C2×#41—531no—
1640C2×#41—532no—
1641C2×#41—532no—
1642C2×#41—534no—
1643C2×#41—532no—
1644C2×#41—531no—
1645C2×#41—532no—
1646C2×#41—532no—
1647C2×#41—531no—
1648C2×#41—531no—
1649C2×#41—534no—
1650C2×#41—1068no—
1651C2×#41—1068no—
1652C2×#41—1068no—
1653C2×#41C22×D5311yescharacteristic
1654C2×#41C22×D5311yescharacteristic
1655C2×#41C22×D5311yescharacteristic
1656C2×#41C22×D5314yes—
1657C22×Q8—531no—
1658C22×Q8—531no—
1659C22×Q8—531no—
1660C22×Q8—532no—
1661C22×Q8C22×D5312yes—
1662C22×D4—532no—
1663C22×D4—531no—
1664C22×D4—532no—
1665C22×D4—532no—
1666C22×D4—531no—
1667C22×D4—531no—
1668C22×D4—534no—
1669C23×C4—531no—
1670C23×C4—532no—
1671C23×C4—532no—
1672C23×C4—532no—
1673C23×C4—532no—
1674C23×C4—534no—
1675C4⋊Q8—534no—
1676C4⋊Q8—534no—
1677C4⋊Q8—534no—
1678C4⋊Q8—534no—
1679C4⋊Q8—531no—
1680C4⋊Q8—531no—
1681C4⋊Q8—532no—
1682C4⋊Q8—532no—
1683C4⋊Q8—532no—
1684C4⋊Q8—532no—
1685C4⋊Q8—534no—
1686C4⋊Q8—531no—
1687C4⋊Q8C22×D5312yes—
1688C4⋊Q8C22×D5312yes—
1689C4⋊Q8C22×D5312yes—
1690C4⋊Q8C22×D5312yes—
1691C4⋊Q8C22×D5311yescharacteristic
1692#127—534no—
1693#127—531no—
1694#127—531no—
1695#127—531no—
1696#127C22×D5311yescharacteristic
1697#126—534no—
1698#126—534no—
1699#126—534no—
1700#126—534no—
1701#126—534no—
1702#126—534no—
1703#126—534no—
1704#126—534no—
1705#126—534no—
1706#126—534no—
1707#126—534no—
1708#126—534no—
1709#126—534no—
1710#126—534no—
1711#126—534no—
1712#126—534no—
1713#126—534no—
1714#126—534no—
1715#126—534no—
1716#126—534no—
1717#126—534no—
1718#126—534no—
1719#126C22×D5314yes—
1720#126C22×D5314yes—
1721#125—534no—
1722#125—534no—
1723#125—532no—
1724#125—532no—
1725#125—534no—
1726#125—534no—
1727#125—532no—
1728#125—532no—
1729#125—534no—
1730#125—534no—
1731#125—534no—
1732#125—534no—
1733#125—534no—
1734#125—534no—
1735#125—534no—
1736#125—534no—
1737#125—534no—
1738#125—534no—
1739#125—532no—
1740#125—532no—
1741#125—532no—
1742#125—532no—
1743#125—534no—
1744#125C22×D5314yes—
1745#124—531no—
1746#124—531no—
1747#124—534no—
1748#124—534no—
1749#124—534no—
1750#124—531no—
1751#124—531no—
1752#124—534no—
1753#124—534no—
1754#124—534no—
1755#124—534no—
1756#124—534no—
1757#124—534no—
1758#124—534no—
1759#124—531no—
1760#124—531no—
1761#124—534no—
1762#124C22×D5311yescharacteristic
1763#124C22×D5311yescharacteristic
1764#124C22×D5314yes—
1765#124C22×D5314yes—
1766#124C22×D5314yes—
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—532no—
1777#123—532no—
1778#123—534no—
1779#123—532no—
1780#123—532no—
1781#123—534no—
1782#123—534no—
1783#123—534no—
1784#123—534no—
1785#123—534no—
1786#123—534no—
1787#123—532no—
1788#123—532no—
1789#123—534no—
1790#123—532no—
1791#123—534no—
1792#123—532no—
1793#123—534no—
1794#123—534no—
1795#123—534no—
1796#123—534no—
1797#123—534no—
1798#123—534no—
1799#123—534no—
1800#123—534no—
1801#123C22×D5314yes—
1802#123C22×D5314yes—
1803C22⋊Q8—534no—
1804C22⋊Q8—534no—
1805C22⋊Q8—532no—
1806C22⋊Q8—532no—
1807C22⋊Q8—534no—
1808C22⋊Q8—534no—
1809C22⋊Q8—532no—
1810C22⋊Q8—532no—
1811C22⋊Q8—534no—
1812C22⋊Q8—534no—
1813C22⋊Q8—534no—
1814C22⋊Q8—532no—
1815C22⋊Q8—532no—
1816C22⋊Q8—532no—
1817C22⋊Q8—532no—
1818C22⋊Q8—534no—
1819C22⋊Q8—534no—
1820C22⋊Q8—534no—
1821C22⋊Q8—534no—
1822C22⋊Q8—532no—
1823C22⋊Q8—534no—
1824C22⋊Q8—532no—
1825C22⋊Q8—534no—
1826C22⋊Q8—534no—
1827C22⋊Q8—532no—
1828C22⋊Q8—532no—
1829C22⋊Q8—532no—
1830C22⋊Q8—532no—
1831C22⋊Q8—532no—
1832C22⋊Q8—532no—
1833C22⋊Q8—534no—
1834C22⋊Q8—534no—
1835C22⋊Q8—534no—
1836C22⋊Q8—534no—
1837C22⋊Q8—534no—
1838C22⋊Q8—532no—
1839C22⋊Q8—532no—
1840C22⋊Q8—532no—
1841C22⋊Q8—532no—
1842C22⋊Q8—534no—
1843C22⋊Q8—534no—
1844C22⋊Q8C22×D5312yes—
1845C22⋊Q8C22×D5312yes—
1846C22⋊Q8C22×D5312yes—
1847C22⋊Q8C22×D5312yes—
1848C22⋊Q8C22×D5314yes—
1849C22⋊Q8C22×D5314yes—
1850C22⋊Q8C22×D5314yes—
1851#121—534no—
1852#121—532no—
1853#121—534no—
1854#121—532no—
1855#121—534no—
1856#121—534no—
1857#121—534no—
1858#121—532no—
1859#121—532no—
1860#121—532no—
1861#121—532no—
1862#121—532no—
1863#121—532no—
1864#121—534no—
1865#121—534no—
1866#121—532no—
1867#121—532no—
1868#121—532no—
1869#121—534no—
1870#121—532no—
1871#121—534no—
1872#121—534no—
1873#121—534no—
1874#121—534no—
1875#121—532no—
1876#121—532no—
1877#121—534no—
1878#121—532no—
1879#121—532no—
1880#121—534no—
1881#121—534no—
1882#121—532no—
1883#121—532no—
1884#121—534no—
1885#121—532no—
1886#121—532no—
1887#121—532no—
1888#121—532no—
1889#121—534no—
1890#121—534no—
1891#121—534no—
1892#121—534no—
1893#121—534no—
1894#121—532no—
1895#121—532no—
1896#121—532no—
1897#121—532no—
1898#121—534no—
1899#121—534no—
1900#121—534no—
1901#121—534no—
1902#121C22×D5312yes—
1903#121C22×D5312yes—
1904#121C22×D5314yes—
1905#121C22×D5312yes—
1906#121C22×D5312yes—
1907#121C22×D5314yes—
1908#121C22×D5312yes—
1909#121C22×D5312yes—
1910#121C22×D5314yes—
1911#120—534no—
1912#120—532no—
1913#120—532no—
1914#120—532no—
1915#120—534no—
1916#120—532no—
1917#120—532no—
1918#120—534no—
1919#120—532no—
1920#120—532no—
1921#120—532no—
1922#120—534no—
1923C4×Q8—532no—
1924C4×Q8—532no—
1925C4×Q8—531no—
1926C4×Q8—531no—
1927C4×Q8—534no—
1928C4×Q8—534no—
1929C4×Q8—532no—
1930C4×Q8—532no—
1931C4×Q8—532no—
1932C4×Q8—532no—
1933C4×Q8—534no—
1934C4×Q8—531no—
1935C4×Q8—531no—
1936C4×Q8—534no—
1937C4×Q8—534no—
1938C4×Q8—532no—
1939C4×Q8—532no—
1940C4×Q8—532no—
1941C4×Q8—532no—
1942C4×Q8—531no—
1943C4×Q8—531no—
1944C4×Q8—534no—
1945C4×Q8—534no—
1946C4×Q8C22×D5312yes—
1947C4×Q8C22×D5312yes—
1948C4×Q8C22×D5311yescharacteristic
1949C4×Q8C22×D5311yescharacteristic
1950C4×Q8C22×D5314yes—
1951C4×D4—532no—
1952C4×D4—534no—
1953C4×D4—532no—
1954C4×D4—531no—
1955C4×D4—532no—
1956C4×D4—532no—
1957C4×D4—534no—
1958C4×D4—531no—
1959C4×D4—534no—
1960C4×D4—534no—
1961C4×D4—534no—
1962C4×D4—534no—
1963C4×D4—534no—
1964C4×D4—534no—
1965C4×D4—532no—
1966C4×D4—532no—
1967C4×D4—532no—
1968C4×D4—532no—
1969C4×D4—534no—
1970C4×D4—534no—
1971C4×D4—532no—
1972C4×D4—532no—
1973C4×D4—532no—
1974C4×D4—532no—
1975C4×D4—532no—
1976C4×D4—532no—
1977C4×D4—534no—
1978C4×D4—534no—
1979C4×D4—534no—
1980C4×D4—534no—
1981C4×D4—532no—
1982C4×D4—534no—
1983C4×D4—532no—
1984C4×D4—534no—
1985C4×D4—532no—
1986C4×D4—532no—
1987C4×D4—531no—
1988C4×D4—531no—
1989C4×D4—534no—
1990C4×D4—534no—
1991C4×D4—534no—
1992C4×D4—534no—
1993C4×D4—534no—
1994C4×D4—532no—
1995C4×D4—532no—
1996C4×D4—534no—
1997C4×D4—532no—
1998C4×D4—532no—
1999C4×D4—532no—
2000C4×D4—534no—
2001C4×D4—532no—
2002C4×D4—534no—
2003C4×D4—534no—
2004C4×D4—534no—
2005C4×D4—534no—
2006C4×D4—534no—
2007C4×D4—534no—
2008C4×D4—534no—
2009C4×D4—532no—
2010C4×D4—534no—
2011C4×D4—532no—
2012C4×D4—534no—
2013C4×D4—532no—
2014C4×D4—532no—
2015C4×D4—531no—
2016C4×D4—531no—
2017C4×D4—532no—
2018C4×D4—532no—
2019C4×D4—534no—
2020C4×D4C22×D5312yes—
2021C4×D4C22×D5314yes—
2022C4×D4C22×D5312yes—
2023C4×D4C22×D5314yes—
2024C4×D4C22×D5311yescharacteristic
2025C4×D4C22×D5312yes—
2026C4×D4C22×D5312yes—
2027C4×D4C22×D5311yescharacteristic
2028C4×D4C22×D5312yes—
2029C4×D4C22×D5312yes—
2030C4×D4C22×D5314yes—
2031#117—531no—
2032#117—532no—
2033#117—532no—
2034#117—532no—
2035#117—534no—
2036#117—531no—
2037#117—531no—
2038#117—532no—
2039#117—532no—
2040#117—534no—
2041#117—532no—
2042#117—532no—
2043#117—532no—
2044#117—534no—
2045#117—532no—
2046#117—532no—
2047#117—532no—
2048#117—532no—
2049#117—532no—
2050#117—534no—
2051#117—534no—
2052#117—532no—
2053#117—534no—
2054#117—532no—
2055#117—534no—
2056#117—532no—
2057#117—534no—
2058#117—534no—
2059#117—534no—
2060#117—534no—
2061#117—532no—
2062#117—531no—
2063#117—531no—
2064#117—531no—
2065#117—531no—
2066#117—532no—
2067#117—532no—
2068#117—531no—
2069#117—531no—
2070#117—534no—
2071#117—532no—
2072#117—532no—
2073#117—531no—
2074#117—531no—
2075#117—532no—
2076#117—534no—
2077#117—532no—
2078#117—534no—
2079#117—534no—
2080#117—534no—
2081#117—534no—
2082#117C22×D5311yescharacteristic
2083#117C22×D5312yes—
2084#117C22×D5312yes—
2085#117C22×D5312yes—
2086#117C22×D5314yes—
2087C2×C4⋊C4—532no—
2088C2×C4⋊C4—531no—
2089C2×C4⋊C4—534no—
2090C2×C4⋊C4—532no—
2091C2×C4⋊C4—531no—
2092C2×C4⋊C4—531no—
2093C2×C4⋊C4—531no—
2094C2×C4⋊C4—532no—
2095C2×C4⋊C4—532no—
2096C2×C4⋊C4—532no—
2097C2×C4⋊C4—532no—
2098C2×C4⋊C4—532no—
2099C2×C4⋊C4—532no—
2100C2×C4⋊C4—532no—
2101C2×C4⋊C4—532no—
2102C2×C4⋊C4—531no—
2103C2×C4⋊C4—532no—
2104C2×C4⋊C4—532no—
2105C2×C4⋊C4—534no—
2106C2×C4⋊C4—532no—
2107C2×C4⋊C4—532no—
2108C2×C4⋊C4—534no—
2109C2×C4⋊C4—532no—
2110C2×C4⋊C4—532no—
2111C2×C4⋊C4—531no—
2112C2×C4⋊C4—532no—
2113C2×C4⋊C4—532no—
2114C2×C4⋊C4—532no—
2115C2×C4⋊C4—532no—
2116C2×C4⋊C4—534no—
2117C2×C4⋊C4C22×D5311yescharacteristic
2118C2×C4⋊C4C22×D5312yes—
2119C2×C4⋊C4C22×D5311yescharacteristic
2120C2×C4⋊C4C22×D5312yes—
2121C2×C4⋊C4C22×D5312yes—
2122C2×C22⋊C4—532no—
2123C2×C22⋊C4—531no—
2124C2×C22⋊C4—531no—
2125C2×C22⋊C4—534no—
2126C2×C22⋊C4—532no—
2127C2×C22⋊C4—532no—
2128C2×C22⋊C4—532no—
2129C2×C22⋊C4—534no—
2130C2×C22⋊C4—532no—
2131C2×C22⋊C4—534no—
2132C2×C22⋊C4—532no—
2133C2×C22⋊C4—534no—
2134C2×C22⋊C4—534no—
2135C2×C42—532no—
2136C2×C42—531no—
2137C2×C42—534no—
2138C2×C42—532no—
2139C2×C42—532no—
2140C2×C42—534no—
2141C2×C42—534no—
2142C2×C42—532no—
2143C2×C42—532no—
2144C2×C42C22×D5311yescharacteristic
2145C2×C42C22×D5312yes—
2146C24—531no—
2147C24—532no—
2148C24—532no—
2149C24—532no—
2150#41—24no—
2151#41—24no—
2152#41—24no—
2153#41—84no—
2154#41—1068no—
2155#41—1068no—
2156#41—1068no—
2157#41—1068no—
2158#41—1068no—
2159#41—1068no—
2160#41—1064no—
2161#41—1064no—
2162#41—1064no—
2163#41—1064no—
2164#41—1064no—
2165#41—1064no—
2166#41—1064no—
2167#41—1064no—
2168#41—1064no—
2169#41—4244no—
2170#41—4244no—
2171#41—4244no—
2172C2×Q8—82no—
2173C2×Q8—532no—
2174C2×Q8—531no—
2175C2×Q8—532no—
2176C2×Q8—532no—
2177C2×Q8—531no—
2178C2×Q8—531no—
2179C2×Q8—534no—
2180C2×Q8—534no—
2181C2×Q8—1064no—
2182C2×Q8—1064no—
2183C2×Q8—1064no—
2184C2×Q8—4242no—
2185C2×Q8C23×D5311yescharacteristic
2186C2×Q8C23×D5311yescharacteristic
2187C2×Q8C23×D5311yescharacteristic
2188C2×Q8C23×D5314yes—
2189C2×Q8C23×D5314yes—
2190C2×D4—532no—
2191C2×D4—532no—
2192C2×D4—532no—
2193C2×D4—532no—
2194C2×D4—532no—
2195C2×D4—532no—
2196C2×D4—532no—
2197C2×D4—532no—
2198C2×D4—532no—
2199C2×D4—534no—
2200C2×D4—534no—
2201C2×D4—532no—
2202C2×D4—532no—
2203C2×D4—532no—
2204C2×D4—532no—
2205C2×D4—534no—
2206C2×D4—534no—
2207C2×D4—532no—
2208C2×D4—532no—
2209C2×D4—532no—
2210C2×D4—531no—
2211C2×D4—531no—
2212C2×D4—531no—
2213C2×D4—532no—
2214C2×D4—534no—
2215C2×D4—532no—
2216C2×D4—534no—
2217C2×D4—1064no—
2218C2×D4—1064no—
2219C2×D4—1064no—
2220C2×D4—1068no—
2221C2×D4—1068no—
2222C2×D4—1068no—
2223C2×D4—4244no—
2224C2×D4C23×D5312yes—
2225C2×D4C23×D5312yes—
2226C2×D4C23×D5312yes—
2227C2×D4C23×D5311yescharacteristic
2228C2×D4C23×D5311yescharacteristic
2229C2×D4C23×D5311yescharacteristic
2230C2×D4C23×D5314yes—
2231C2×D4C23×D5314yes—
2232C2×D4C23×D5312yes—
2233C2×D4C23×D5312yes—
2234C22×C4—531no—
2235C22×C4—538no—
2236C22×C4—531no—
2237C22×C4—531no—
2238C22×C4—531no—
2239C22×C4—531no—
2240C22×C4—532no—
2241C22×C4—532no—
2242C22×C4—532no—
2243C22×C4—531no—
2244C22×C4—532no—
2245C22×C4—531no—
2246C22×C4—532no—
2247C22×C4—534no—
2248C22×C4—532no—
2249C22×C4—532no—
2250C22×C4—534no—
2251C22×C4—532no—
2252C22×C4—532no—
2253C22×C4—532no—
2254C22×C4—532no—
2255C22×C4—532no—
2256C22×C4—532no—
2257C22×C4—532no—
2258C22×C4—532no—
2259C22×C4—532no—
2260C22×C4—532no—
2261C22×C4—532no—
2262C22×C4—534no—
2263C22×C4—532no—
2264C22×C4—534no—
2265C22×C4—532no—
2266C22×C4—534no—
2267C22×C4—532no—
2268C22×C4—532no—
2269C22×C4—534no—
2270C22×C4—534no—
2271C22×C4—534no—
2272C22×C4—1068no—
2273C22×C4—1068no—
2274C22×C4—1068no—
2275C22×C4—4242no—
2276C22×C4—4244no—
2277C22×C4C23×D5312yes—
2278C22×C4C23×D5312yes—
2279C22×C4C23×D5312yes—
2280C22×C4C23×D5312yes—
2281C22×C4C23×D5314yes—
2282C22×C4C23×D5311yescharacteristic
2283C22×C4C23×D5311yescharacteristic
2284C22×C4C23×D5312yes—
2285C22×C4C23×D5312yes—
2286C22×C4C23×D5312yes—
2287C22×C4C23×D5314yes—
2288C22×C4C23×D5311yescharacteristic
2289C4⋊C4—532no—
2290C4⋊C4—531no—
2291C4⋊C4—534no—
2292C4⋊C4—532no—
2293C4⋊C4—532no—
2294C4⋊C4—531no—
2295C4⋊C4—531no—
2296C4⋊C4—531no—
2297C4⋊C4—532no—
2298C4⋊C4—531no—
2299C4⋊C4—531no—
2300C4⋊C4—534no—
2301C4⋊C4—532no—
2302C4⋊C4—534no—
2303C4⋊C4—534no—
2304C4⋊C4—534no—
2305C4⋊C4—531no—
2306C4⋊C4—531no—
2307C4⋊C4—532no—
2308C4⋊C4—531no—
2309C4⋊C4—531no—
2310C4⋊C4—534no—
2311C4⋊C4—532no—
2312C4⋊C4—532no—
2313C4⋊C4—532no—
2314C4⋊C4—532no—
2315C4⋊C4—532no—
2316C4⋊C4—534no—
2317C4⋊C4—534no—
2318C4⋊C4—532no—
2319C4⋊C4—534no—
2320C4⋊C4—534no—
2321C4⋊C4—534no—
2322C4⋊C4—534no—
2323C4⋊C4—534no—
2324C4⋊C4—534no—
2325C4⋊C4—534no—
2326C4⋊C4—534no—
2327C4⋊C4—534no—
2328C4⋊C4—534no—
2329C4⋊C4—534no—
2330C4⋊C4—534no—
2331C4⋊C4—534no—
2332C4⋊C4—532no—
2333C4⋊C4—534no—
2334C4⋊C4—534no—
2335C4⋊C4—532no—
2336C4⋊C4—532no—
2337C4⋊C4—532no—
2338C4⋊C4—532no—
2339C4⋊C4—534no—
2340C4⋊C4—532no—
2341C4⋊C4C23×D5311yescharacteristic
2342C4⋊C4C23×D5312yes—
2343C4⋊C4C23×D5311yescharacteristic
2344C4⋊C4C23×D5312yes—
2345C4⋊C4C23×D5314yes—
2346C4⋊C4C23×D5312yes—
2347C4⋊C4C23×D5312yes—
2348C4⋊C4C23×D5312yes—
2349C4⋊C4C23×D5314yes—
2350C4⋊C4C23×D5312yes—
2351C4⋊C4C23×D5314yes—
2352C4⋊C4C23×D5314yes—
2353C4⋊C4C23×D5314yes—
2354C4⋊C4C23×D5312yes—
2355C4⋊C4C23×D5314yes—
2356C4⋊C4C23×D5312yes—
2357C22⋊C4—532no—
2358C22⋊C4—532no—
2359C22⋊C4—534no—
2360C22⋊C4—534no—
2361C22⋊C4—532no—
2362C22⋊C4—534no—
2363C22⋊C4—534no—
2364C22⋊C4—532no—
2365C22⋊C4—532no—
2366C22⋊C4—534no—
2367C22⋊C4—532no—
2368C22⋊C4—534no—
2369C22⋊C4—532no—
2370C22⋊C4—532no—
2371C22⋊C4—532no—
2372C22⋊C4—534no—
2373C22⋊C4—531no—
2374C22⋊C4—531no—
2375C22⋊C4—531no—
2376C22⋊C4—531no—
2377C22⋊C4—534no—
2378C22⋊C4—531no—
2379C22⋊C4—531no—
2380C22⋊C4—531no—
2381C22⋊C4—531no—
2382C22⋊C4—532no—
2383C22⋊C4—534no—
2384C22⋊C4—532no—
2385C22⋊C4—534no—
2386C22⋊C4—534no—
2387C22⋊C4—534no—
2388C22⋊C4—532no—
2389C22⋊C4—532no—
2390C22⋊C4—534no—
2391C22⋊C4—534no—
2392C22⋊C4—534no—
2393C22⋊C4—534no—
2394C22⋊C4—534no—
2395C22⋊C4—532no—
2396C22⋊C4—532no—
2397C22⋊C4—532no—
2398C22⋊C4—534no—
2399C22⋊C4—532no—
2400C22⋊C4—534no—
2401C22⋊C4—532no—
2402C22⋊C4—532no—
2403C22⋊C4—532no—
2404C22⋊C4—534no—
2405C22⋊C4—532no—
2406C22⋊C4C23×D5312yes—
2407C22⋊C4C23×D5312yes—
2408C22⋊C4C23×D5312yes—
2409C22⋊C4C23×D5314yes—
2410C22⋊C4C23×D5314yes—
2411C22⋊C4C23×D5314yes—
2412C22⋊C4C23×D5314yes—
2413C22⋊C4C23×D5312yes—
2414C22⋊C4C23×D5312yes—
2415C22⋊C4C23×D5314yes—
2416C22⋊C4C23×D5312yes—
2417C22⋊C4C23×D5312yes—
2418C22⋊C4C23×D5314yes—
2419C42—532no—
2420C42—532no—
2421C42—532no—
2422C42—534no—
2423C42—531no—
2424C42—531no—
2425C42—532no—
2426C42—534no—
2427C42—532no—
2428C42—534no—
2429C42—532no—
2430C42—534no—
2431C42—534no—
2432C42—534no—
2433C42—534no—
2434C42—532no—
2435C42—532no—
2436C42—532no—
2437C42—534no—
2438C42—531no—
2439C42—531no—
2440C42C23×D5312yes—
2441C42C23×D5311yescharacteristic
2442C42C23×D5314yes—
2443C42C23×D5314yes—
2444C42C23×D5311yescharacteristic
2445C42C23×D5312yes—
2446C42C23×D5312yes—
2447C42C23×D5311yescharacteristic
2448C42C23×D5311yescharacteristic
2449C23—531no—
2450C23—531no—
2451C23—534no—
2452C23—532no—
2453C23—532no—
2454C23—532no—
2455C23—1064no—
2456C23—1064no—
2457C23—1064no—
2458C23—2122no—
2459C23—2122no—
2460C23—2122no—
2461C23—2122no—
2462C23—2121no—
2463C23—2122no—
2464C23—2121no—
2465C23—2122no—
2466C23C24×D5312yes—
2467C23C24×D5312yes—
2468C23C24×D5312yes—
2469C23C24×D5311yescharacteristic
2470Q8—22no—
2471Q8—22no—
2472Q8—22no—
2473Q8—44no—
2474Q8—44no—
2475Q8—1064no—
2476Q8—1064no—
2477Q8—1064no—
2478Q8—1062no—
2479Q8—1062no—
2480Q8—1062no—
2481Q8—2124no—
2482Q8—2124no—
2483D4—24no—
2484D4—24no—
2485D4—24no—
2486D4—22no—
2487D4—22no—
2488D4—22no—
2489D4—44no—
2490D4—42no—
2491D4—42no—
2492D4—44no—
2493D4—1064no—
2494D4—1064no—
2495D4—1064no—
2496D4—1064no—
2497D4—1064no—
2498D4—1064no—
2499D4—1064no—
2500D4—1064no—
2501D4—1064no—
2502D4—1064no—
2503D4—1064no—
2504D4—1064no—
2505D4—1062no—
2506D4—1062no—
2507D4—1062no—
2508D4—2122no—
2509D4—2124no—
2510D4—2124no—
2511D4—2122no—
2512D4—2124no—
2513D4—2122no—
2514D4—2124no—
2515D4—2122no—
2516D4—2124no—
2517D4—2124no—
2518D4—2122no—
2519D4—2122no—
2520C2×C4—24no—
2521C2×C4—24no—
2522C2×C4—24no—
2523C2×C4—42no—
2524C2×C4—44no—
2525C2×C4—42no—
2526C2×C4—41no—
2527C2×C4—41no—
2528C2×C4—42no—
2529C2×C4—42no—
2530C2×C4—44no—
2531C2×C4—534no—
2532C2×C4—531no—
2533C2×C4—531no—
2534C2×C4—534no—
2535C2×C4—534no—
2536C2×C4—534no—
2537C2×C4—534no—
2538C2×C4—532no—
2539C2×C4—532no—
2540C2×C4—531no—
2541C2×C4—534no—
2542C2×C4—531no—
2543C2×C4—532no—
2544C2×C4—532no—
2545C2×C4—532no—
2546C2×C4—531no—
2547C2×C4—531no—
2548C2×C4—534no—
2549C2×C4—1064no—
2550C2×C4—1064no—
2551C2×C4—1064no—
2552C2×C4—1064no—
2553C2×C4—1064no—
2554C2×C4—1064no—
2555C2×C4—1064no—
2556C2×C4—1064no—
2557C2×C4—1064no—
2558C2×C4—1064no—
2559C2×C4—1064no—
2560C2×C4—1064no—
2561C2×C4—2122no—
2562C2×C4—2122no—
2563C2×C4—2124no—
2564C2×C4—2122no—
2565C2×C4—2122no—
2566C2×C4—2124no—
2567C2×C4—2124no—
2568C2×C4—2124no—
2569C2×C4—2124no—
2570C2×C4—2122no—
2571C2×C4—2124no—
2572C2×C4—2122no—
2573C2×C4—2122no—
2574C2×C4—2124no—
2575C2×C4—2121no—
2576C2×C4—2122no—
2577C2×C4—2122no—
2578C2×C4—2124no—
2579C2×C4—2121no—
2580C2×C4—2122no—
2581C2×C4#41×D5314yes—
2582C2×C4C24×D5312yes—
2583C2×C4C24×D5312yes—
2584C2×C4C24×D5314yes—
2585C2×C4C24×D5312yes—
2586C2×C4C24×D5312yes—
2587C2×C4C24×D5312yes—
2588C2×C4C24×D5311yescharacteristic
2589C2×C4C24×D5311yescharacteristic
2590C2×C4C24×D5314yes—
2591C2×C4C24×D5311yescharacteristic
2592C2×C4C24×D5311yescharacteristic
2593C2×C4C24×D5311yescharacteristic
2594C2×C4C24×D5311yescharacteristic
2595C22—21no—
2596C22—21no—
2597C22—22no—
2598C22—22no—
2599C22—22no—
2600C22—22no—
2601C22—22no—
2602C22—22no—
2603C22—22no—
2604C22—22no—
2605C22—22no—
2606C22—532no—
2607C22—532no—
2608C22—1061no—
2609C22—1061no—
2610C22—1061no—
2611C22—1061no—
2612C22—1062no—
2613C22—1062no—
2614C22—1062no—
2615C22—1062no—
2616C22—1062no—
2617C22—1062no—
2618C22—1062no—
2619C22—1062no—
2620C22—1062no—
2621C22—4244no—
2622C22—4244no—
2623C22—2124no—
2624C22—2128no—
2625C22C2×#41×D5312yes—
2626C22C25×D5311yescharacteristic
2627C4—22no—
2628C4—22no—
2629C4—22no—
2630C4—22no—
2631C4—21no—
2632C4—24no—
2633C4—24no—
2634C4—21no—
2635C4—21no—
2636C4—22no—
2637C4—21no—
2638C4—532no—
2639C4—532no—
2640C4—1062no—
2641C4—1062no—
2642C4—1062no—
2643C4—1062no—
2644C4—1064no—
2645C4—1061no—
2646C4—1061no—
2647C4—1062no—
2648C4—1061no—
2649C4—1064no—
2650C4—1061no—
2651C4C2×#41×D5312yes—
2652C4C2×#41×D5312yes—
2653C2—22no—
2654C2—42no—
2655C2—42no—
2656C2—42no—
2657C2—1062no—
2658C2—1062no—
2659C2—2122no—
2660C2—2122no—
2661C2—2122no—
2662C2C22×#41×D5311yescharacteristic
2663C2#2028952511yescharacteristic
2664C2#2028952711yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3511C2
hypercenter#3511D53
hypocenterC53#62856
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3511

Complements

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

NH ≅ G/Ntype
1. #20288637C2semidirect
2. #20288636C2semidirect
3. #20288635C2semidirect
4. #20288632C2semidirect
5. #20288631C2semidirect
6. #20288628C2semidirect
7. #20288624C2semidirect
8. #20288621C2semidirect
9. #20288618C2semidirect
10. #20288551C2semidirect
11. #20288548C2semidirect
12. #20288465C2semidirect
13. #20288463C2semidirect
14. #20288462C2semidirect
15. #20288460C2semidirect
16. #20288449C2semidirect
17. #20288448C2semidirect
18. #20288445C2semidirect
19. #20288439C2semidirect
20. #20288429C2semidirect
21. #20288426C2semidirect
22. #20288423C2semidirect
23. #20288417C2semidirect
24. #20288146C2semidirect
25. #20288141C2semidirect
26. #20288135C2semidirect
27. #20288129C2semidirect
28. C2×#16811250C2semidirect
29. #20288043C2semidirect
30. #20288042C2semidirect
31. #537×D53C2semidirect
32. #20287915C2semidirect
33. #20287914C2semidirect
34. #520×D53C2semidirect
35. C53×#3511C2semidirect
39. #16811347C22semidirect
40. #16811345C22semidirect
41. #16811344C22semidirect
42. #16811342C22semidirect
43. #16811341C22semidirect
44. #16811339C22semidirect
45. #16811337C22semidirect
46. #16811336C22semidirect
47. #16811335C22semidirect
48. #16811335C22semidirect
49. #16811334C22semidirect
50. #16811331C22semidirect
51. #16811328C22semidirect
52. #16811327C22semidirect
53. #16811327C22semidirect
54. #16811325C22semidirect
55. #16811325C22semidirect
56. #16811324C22semidirect
57. #16811323C22semidirect
58. #16811323C22semidirect
59. #16811322C22semidirect
60. #16811322C22semidirect
61. #16811322C22semidirect
62. #16811322C22semidirect
63. #16811322C22semidirect
64. #16811321C22semidirect
65. #16811321C22semidirect
66. #16811320C22semidirect
67. #16811319C22semidirect
68. #16811319C22semidirect
69. #16811319C22semidirect
70. #16811318C22semidirect
71. #16811317C22semidirect
72. #16811316C22semidirect
73. #16811316C22semidirect
74. #16811316C22semidirect
75. #16811316C22semidirect
76. #16811316C22semidirect
77. #16811315C22semidirect
78. #16811314C22semidirect
79. #16811314C22semidirect
80. #16811314C22semidirect
81. #16811313C22semidirect
82. #16811313C22semidirect
83. #16811312C22semidirect
84. #16811310C22semidirect
85. #16811309C22semidirect
86. #16811309C22semidirect
87. #16811308C22semidirect
88. #16811307C22semidirect
89. #16811307C22semidirect
90. #16811306C22semidirect
91. #16811305C22semidirect
92. #16811305C22semidirect
93. #16811303C22semidirect
94. #16811303C22semidirect
95. #16811302C22semidirect
96. #16811301C22semidirect
97. #16811300C22semidirect
98. #16811300C22semidirect
99. #16811298C22semidirect
100. #16811297C22semidirect
101. #16811284C22semidirect
102. #16811282C22semidirect
103. #16811279C22semidirect
104. #16811276C22semidirect
105. #16811275C22semidirect
106. #16811274C22semidirect
107. #16811273C22semidirect
108. #16811272C22semidirect
109. #16811266C22semidirect
110. #16811265C22semidirect
111. #16811262C22semidirect
112. #16811261C22semidirect
113. #16811250C22semidirect
114. #16811250C22semidirect
115. #16811250C22semidirect
116. #16811250C22semidirect
117. #16811250C22semidirect
118. #16811250C22semidirect
119. #16811250C22semidirect
120. #16811250C22semidirect
121. #16811247C22semidirect
122. #16811247C22semidirect
123. #16811246C22semidirect
124. #16811245C22semidirect
125. #16811243C22semidirect
126. #16811243C22semidirect
127. #16811240C22semidirect
128. #16811238C22semidirect
129. #16811237C22semidirect
130. #16811237C22semidirect
131. #16811235C22semidirect
132. #16811234C22semidirect
133. #16811233C22semidirect
134. #16811232C22semidirect
135. #16811231C22semidirect
136. #16811230C22semidirect
137. #16811228C22semidirect
138. #16811227C22semidirect
139. #16811226C22semidirect
140. #16811225C22semidirect
141. #16811224C22semidirect
142. #16811223C22semidirect
143. #16811221C22semidirect
144. #16811219C22semidirect
145. #16811219C22semidirect
146. #16811216C22semidirect
147. #16811212C22semidirect
148. #16811207C22semidirect
149. #16811207C22semidirect
150. #16811205C22semidirect
151. #16811204C22semidirect
152. #16811204C22semidirect
157. #16811201C22semidirect
158. #16811201C22semidirect
159. #16811201C22semidirect
160. #16811201C22semidirect
161. #16811200C22semidirect
162. #16811200C22semidirect
163. #16811200C22semidirect
165. #16811198C22semidirect
167. #16811196C22semidirect
169. #16811193C22semidirect
171. #16811191C22semidirect
173. #16811189C22semidirect
175. #16811186C22semidirect
179. #16811178C22semidirect
180. #16811177C22semidirect
181. #16811177C22semidirect
182. #16811175C22semidirect
183. #16811175C22semidirect
184. #16811174C22semidirect
185. #16811173C22semidirect
186. #16811172C22semidirect
187. #16811170C22semidirect
188. #16811169C22semidirect
189. #16811169C22semidirect
190. #16811169C22semidirect
191. #16811168C22semidirect
192. #16811168C22semidirect
193. C2×#13133216C22semidirect
194. C2×#13133215C22semidirect
195. #16811160C22semidirect
196. #16811160C22semidirect
197. #16811159C22semidirect
198. #16811157C22semidirect
199. #16811157C22semidirect
200. #16811156C22semidirect
201. #16811156C22semidirect
202. #16811155C22semidirect
203. #16811154C22semidirect
204. #16811153C22semidirect
205. #16811152C22semidirect
206. #16811152C22semidirect
207. #16811152C22semidirect
208. #16811151C22semidirect
209. #16811151C22semidirect
210. #16811150C22semidirect
211. C2×#13133209C22semidirect
212. C2×#13133208C22semidirect
213. C2×#13133207C22semidirect
215. #16811136C22semidirect
216. #16811136C22semidirect
218. #16811133C22semidirect
221. #16811132C22semidirect
222. #16811132C22semidirect
223. #16811132C22semidirect
224. #16811131C22semidirect
225. #16811130C22semidirect
228. C22⋊Q8×D53C22semidirect
229. C22⋊Q8×D53C22semidirect
231. #121×D53C22semidirect
232. #121×D53C22semidirect
233. #16811106C22semidirect
234. #16811106C22semidirect
236. #16811105C22semidirect
237. #16811105C22semidirect
239. #16811104C22semidirect
240. #16811104C22semidirect
241. #16811104C22semidirect
243. #16811103C22semidirect
244. #16811103C22semidirect
245. #16811103C22semidirect
247. #16811102C22semidirect
248. #16811102C22semidirect
249. #16811102C22semidirect
250. #16811102C22semidirect
251. #16811102C22semidirect
252. #16811099C22semidirect
253. #16811099C22semidirect
254. #16811099C22semidirect
258. #16811095C22semidirect
259. #16811095C22semidirect
260. #16811095C22semidirect
261. #41×Dic53C22semidirect
262. C4×#11719949C22semidirect
263. C4×#11719945C22semidirect
264. C4×#11719945C22semidirect
265. #16811091C22semidirect
266. #16811091C22semidirect
267. C4×#11719947C22semidirect
268. C4×#11719947C22semidirect
269. C4×Q8×D53C22semidirect
271. C4×D4×D53C22semidirect
273. C2×#13133175C22semidirect
275. C2×#13133174C22semidirect
277. #117×D53C22semidirect
278. #117×D53C22semidirect
279. #117×D53C22semidirect
281. C2×C4⋊C4×D53C22semidirect
282. C53×#556C22semidirect
283. C53×#555C22semidirect
284. C53×#554C22semidirect
285. C53×#553C22semidirect
286. C53×#548C22semidirect
287. C53×#547C22semidirect
288. C53×#542C22semidirect
289. C53×#542C22semidirect
290. C53×#537C22semidirect
291. C53×#537C22semidirect
292. C53×#533C22semidirect
293. C53×#532C22semidirect
294. C53×#532C22semidirect
295. C2×C4⋊Q8×C53C22semidirect
296. C53×#520C22semidirect
297. C53×#520C22semidirect
298. C4×#41×C53C22semidirect
921. C2×C4×D53#41semidirect
1330. #3511D53semidirect
1376. #556C2×D53semidirect
1382. #555C2×D53semidirect
1388. #554C2×D53semidirect
1412. #553C2×D53semidirect
1440. #548C2×D53semidirect
1446. #547C2×D53semidirect
1469. #542C2×D53semidirect
1470. #542C2×D53semidirect
1504. #537C2×D53semidirect
1505. #537C2×D53semidirect
1526. #533C2×D53semidirect
1536. #532C2×D53semidirect
1537. #532C2×D53semidirect
1540. C2×C4⋊Q8C2×D53semidirect
1598. #520C2×D53semidirect
1599. #520C2×D53semidirect
1617. C4×#41C2×D53semidirect
1631. C53#62856semidirect

Maximal subgroups

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

subgroupindex
#202886372
#202886362
#202886352
#202886322
#202886312
#202886282
#202886242
#202886212
#202886182
#202885512
#202885482
#202884652
#202884632
#202884622
#202884602
#202884492
#202884482
#202884452
#202884392
#202884292
#202884262
#202884232
#202884172
#202881462
#202881412
#202881352
#202881292
C2×#168112502
#202880432
#202880422
#537×D532
#202879152
#202879142
#520×D532
C53×#35112
#6285653