Finite Group Databasebeta

← #26005364

Subgroups — #26005364

Order 11008.

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#19149262C214yesmaximal, complemented
2#19149250C214yesmaximal, complemented
3#19149230C212yesmaximal, complemented
4#19149173C212yesmaximal, complemented
5#19149086C211yesmaximal, characteristic, complemented
6#19149062C211yesmaximal, characteristic, complemented
7#19148987C211yesmaximal, characteristic, complemented
8#19148963C211yesmaximal, characteristic, complemented
9#19148916C212yesmaximal, complemented
10#19148882C212yesmaximal, complemented
11#19148754C214yesmaximal, complemented
12#19148703C212yesmaximal, complemented
13#19148698C212yesmaximal, complemented
14#19148689C211yesmaximal, characteristic, complemented
15#19148672C211yesmaximal, characteristic, complemented
16#19148652C212yesmaximal, complemented
17#19148651C212yesmaximal, complemented
18#19148648C214yesmaximal, complemented
19#19148644C211yesmaximal, characteristic, complemented
20#19148611C211yesmaximal, characteristic, complemented
21#19148596C211yesmaximal, characteristic, complemented
22#19148576C211yesmaximal, characteristic, complemented
23#19148566C212yesmaximal, complemented
24#19148547C212yesmaximal, complemented
25#19148547C211yesmaximal, characteristic, complemented
26#19148514C212yesmaximal, complemented
27#19148486C212yesmaximal, complemented
28#19148438C212yesmaximal, complemented
29#19148429C212yesmaximal, complemented
30#19148349C212yesmaximal, complemented
31#19148324C212yesmaximal, complemented
32#19147890C211yesmaximal, characteristic, complemented
33#19147889C211yesmaximal, characteristic, complemented
34C2×#14583431C211yesmaximal, characteristic, complemented
35C43×#3519C211yesmaximal, characteristic, complemented
36#14583651C2214yescomplemented
37#14583650C2214yescomplemented
38#14583646C2214yescomplemented
39#14583644C2214yescomplemented
40#14583644C2214yescomplemented
41#14583643C2214yescomplemented
42#14583638C2214yescomplemented
43#14583638C2214yescomplemented
44#14583635C2211yescharacteristic, complemented
45#14583635C2212yescomplemented
46#14583633C2214yescomplemented
47#14583632C2212yescomplemented
48#14583632C2214yescomplemented
49#14583632C2214yescomplemented
50#14583629C2211yescharacteristic, complemented
51#14583628C2211yescharacteristic, complemented
52#14583627C2211yescharacteristic, complemented
53#14583626C2212yescomplemented
54#14583626C2212yescomplemented
55#14583620C2212yescomplemented
56#14583619C2211yescharacteristic, complemented
57#14583619C2212yescomplemented
58#14583619C2214yescomplemented
59#14583619C2211yescharacteristic, complemented
60#14583619C2214yescomplemented
61#14583618C2214yescomplemented
62#14583618C2212yescomplemented
63#14583617C2212yescomplemented
64#14583617C2212yescomplemented
65#14583613C2212yescomplemented
66#14583613C2214yescomplemented
67#14583613C2214yescomplemented
68#14583613C2212yescomplemented
69#14583612C2212yescomplemented
70#14583610C2211yescharacteristic, complemented
71#14583608C2212yescomplemented
72#14583608C2212yescomplemented
73#14583606C2214yescomplemented
74#14583604C2212yescomplemented
75#14583601C2214yescomplemented
76#14583601C2214yescomplemented
77#14583601C2212yescomplemented
78#14583601C2212yescomplemented
79#14583599C2212yes—
80#14583598C2214yescomplemented
81#14583596C2212yescomplemented
82#14583596C2214yescomplemented
83#14583596C2214yescomplemented
84#14583594C2214yescomplemented
85#14583594C2214yescomplemented
86#14583592C2214yescomplemented
87#14583592C2214yescomplemented
88#14583592C2214yescomplemented
89#14583589C2214yescomplemented
90#14583589C2212yescomplemented
91#14583589C2214yescomplemented
92#14583589C2212yescomplemented
93#14583588C2212yescomplemented
94#14583587C2212yescomplemented
95#14583586C2214yescomplemented
96#14583586C2214yescomplemented
97#14583586C2214yescomplemented
98#14583586C2214yescomplemented
99#14583586C2214yescomplemented
100#14583585C2214yescomplemented
101#14583584C2212yescomplemented
102#14583584C2212yescomplemented
103#14583583C2214yescomplemented
104#14583580C2214yescomplemented
105#14583580C2214yescomplemented
106#14583580C2214yescomplemented
107#14583580C2214yescomplemented
108#14583575C2214yescomplemented
109#14583575C2214yescomplemented
110#14583575C2214yescomplemented
111#14583575C2214yescomplemented
112#14583575C2214yescomplemented
113#14583575C2214yescomplemented
114#14583575C2214yescomplemented
115#14583569C2212yescomplemented
116#14583569C2211yescharacteristic, complemented
117#14583568C2212yescomplemented
118#14583567C2212yescomplemented
119D4×Dic86C2212yescomplemented
120D4×Dic86C2211yescharacteristic, complemented
121D4×Dic86C2211yescharacteristic, complemented
122#14583558C2212yescomplemented
123#14583555C2212yescomplemented
124#14583555C2212yescomplemented
125#14583555C2212yescomplemented
126#14583555C2212yescomplemented
127#14583555C2212yescomplemented
128#14583554C2211yescharacteristic, complemented
129#14583553C2212yescomplemented
130#14583553C2211yescharacteristic, complemented
131#14583551C2212yescomplemented
132#14583549C2214yescomplemented
133#14583549C2212yescomplemented
134#14583548C2212yescomplemented
135#14583548C2214yescomplemented
136#14583543C2212yes—
137#14583543C2212yes—
138#14583543C2214yescomplemented
139#14583543C2212yescomplemented
140#14583543C2212yescomplemented
141#14583543C2214yescomplemented
142#14583543C2212yescomplemented
143#14583530C2212yescomplemented
144#14583527C2212yescomplemented
145#14583518C2214yescomplemented
146#14583517C2214yescomplemented
147#14583516C2212yescomplemented
148#14583516C2214yescomplemented
149#14583516C2212yescomplemented
150#14583516C2212yescomplemented
151#14583516C2212yescomplemented
152#14583515C2214yescomplemented
153#14583514C2212yes—
154#14583514C2212yescomplemented
155#14583514C2212yescomplemented
156#14583514C2212yescomplemented
157#14583513C2214yescomplemented
158#14583513C2214yescomplemented
159#14583512C2212yescomplemented
160#14583511C2212yescomplemented
161#14583509C2212yescomplemented
162#14583509C2214yescomplemented
163#14583509C2212yescomplemented
164#14583506C2214yescomplemented
165#14583506C2214yescomplemented
166#14583503C2212yescomplemented
167#14583502C2212yescomplemented
168#14583502C2212yescomplemented
169#14583502C2214yescomplemented
170#14583499C2214yescomplemented
171#14583499C2214yescomplemented
172#14583495C2214yescomplemented
173#14583494C2214yescomplemented
174#14583494C2214yescomplemented
175#14583493C2214yescomplemented
176#14583492C2214yescomplemented
177#14583491C2214yescomplemented
178#14583491C2214yescomplemented
179#14583487C2214yescomplemented
180#14583486C2214yescomplemented
181#14583484C2214yescomplemented
182#14583484C2214yescomplemented
183#14583484C2214yescomplemented
184#14583484C2214yescomplemented
185#14583484C2214yescomplemented
186#14583482C2214yescomplemented
187#14583478C2212yescomplemented
188#14583478C2212yescomplemented
189#14583475C2212yescomplemented
190#14583470C2212yescomplemented
191#14583466C2212yes—
192#14583466C2212yescomplemented
193#14583464C2214yescomplemented
194#14583458C2214yescomplemented
195#14583456C2211yescharacteristic, complemented
196#14583455C2211yescharacteristic, complemented
197#14583454C2211yescharacteristic, complemented
198#14583454C2211yescharacteristic, complemented
199#14583453C2211yescharacteristic, complemented
200#14583452C2212yescomplemented
201#14583451C2211yescharacteristic, complemented
202#14583451C2212yescomplemented
203#14583448C2211yescharacteristic, complemented
204#14583447C2211yescharacteristic, complemented
205#14583447C2212yescomplemented
206#14583447C2211yescharacteristic, complemented
207#14583446C2211yescharacteristic, complemented
208#14583444C2211yescharacteristic
209#14583444C2212yescomplemented
210#14583434C2211yescharacteristic, complemented
211#14583433C2211yescharacteristic, complemented
212#14583432C2212yescomplemented
213#14583432C2212yescomplemented
214#14583431C2211yescharacteristic
215#14583431C2211yescharacteristic
216#14583431C2211yescharacteristic
217#14583431C2211yescharacteristic
218#14583431C2212yescomplemented
219#14583431C2211yescharacteristic, complemented
220#14583431C2212yescomplemented
221#14583431C2211yescharacteristic, complemented
222#14583431C2212yescomplemented
223#14583431C2212yescomplemented
224#14583431C2211yescharacteristic, complemented
225#14583431C2212yescomplemented
226#14583431C2212yescomplemented
227#14583431C2211yescharacteristic, complemented
228#14583431C2212yescomplemented
229#14583431C2212yescomplemented
230#14583430C2212yes—
231#14583430C2212yescomplemented
232#14583430C2212yescomplemented
233#14583430C2212yescomplemented
234#14583430C2212yescomplemented
235#14583430C2212yescomplemented
236#14583430C2214yescomplemented
237#14583429C2214yescomplemented
238#14583428C2211yescharacteristic, complemented
239#14583428C2212yescomplemented
240#14583428C2212yescomplemented
241#14583427C2212yescomplemented
242#14583426C2212yescomplemented
243#14583426C2214yescomplemented
244C2×#13063318C2212yescomplemented
245C2×#13063318C2214yescomplemented
246C2×#13063316C2211yescharacteristic, complemented
247#125×D43C2212yescomplemented
248C2×#13063312C2211yescharacteristic
249C2×#13063312C2212yescomplemented
250#14583412C2211yescharacteristic, complemented
251#14583410C2212yescomplemented
252#14583409C2211yescharacteristic
253#14583409C2212yescomplemented
254#14583409C2212yescomplemented
255#14583408C2212yescomplemented
256#14583407C2212yescomplemented
257#14583406C2212yescomplemented
258C2×#13063307C2212yescomplemented
259C2×#13063305C2211yescharacteristic, complemented
260C2×#13063304C2212yescomplemented
261C2×#13063296C2211yescharacteristic
262#14583382C2212yescomplemented
263#14583380C2212yescomplemented
264#14583378C2214yescomplemented
265#14583378C2212yescomplemented
266#14583378C2212yescomplemented
267#14583376C2212yescomplemented
268#14583376C2212yescomplemented
269#14583374C2212yescomplemented
270#14583374C2214yescomplemented
271#41×Dic43C2212yescomplemented
272C4×#10621902C2211yescharacteristic, complemented
273#14583367C2212yescomplemented
274C4×#10621900C2212yescomplemented
275C4×#10621900C2211yescharacteristic, complemented
276C4×#10621900C2212yescomplemented
277C4×#10621900C2212yescomplemented
278C2×C4×Dic86C2211yescharacteristic, complemented
279C2×C4×C22⋊D43C2212yescomplemented
280C2×#13063284C2212yescomplemented
281C2×C42×D43C2211yescharacteristic, complemented
282C43×#555C2211yescharacteristic, complemented
283C43×#554C2211yescharacteristic, complemented
284C43×#553C2212yes—
285C43×#553C2212yescomplemented
286C43×#550C2211yescharacteristic, complemented
287C43×#546C2214yes—
288C43×#546C2212yescomplemented
289D42×C43C2212yes—
290D42×C43C2211yescharacteristic, complemented
291C43×#540C2212yescomplemented
292C43×#538C2214yescomplemented
293C43×#532C2211yescharacteristic
294C43×#529C2211yescharacteristic
295C43×#525C2212yes—
296C2×#121×C43C2212yes—
297C43×#518C2212yescomplemented
298C2×C4×D4×C43C2211yescharacteristic
299C2×#10621902C2311yescharacteristic
300C2×#10621898C2312yes—
301C2×#10621898C2312yes—
302C2×#10621900C2312yes—
303C2×#10621900C2312yes—
304C2×#10621900C2312yes—
305C2×#10621900C2311yescharacteristic
306C2×#10621900C2312yes—
307C2×#10621900C2312yes—
308C2×#10621900C2314yes—
309C22×Dic86C2312yes—
310C22×Dic86C2311yescharacteristic
311C22×Dic86C2312yes—
312C22×C22⋊D43C2312yes—
313C22×C4×D43C2311yescharacteristic
314C22×C4×D43C2311yescharacteristic
315C22×C4×D43C2311yescharacteristic
316#13063325C2311yescharacteristic
317#13063325C2312yes—
318#13063325C2311yescharacteristic
319#13063325C2314yes—
320#13063324C2312yes—
321#13063324C2312yes—
322#13063324C2314yes—
323#13063324C2312yes—
324#13063324C2312yes—
325#13063324C2314yes—
326#13063324C2311yescharacteristic
327#13063324C2311yescharacteristic
328#13063323C2312yes—
329#13063323C2314yes—
330#13063323C2311yescharacteristic
331#13063321C2312yes—
332#13063321C2314yes—
333#13063321C2314yes—
334#13063321C2311yescharacteristic
335#13063320C2314yes—
336#13063320C2314yes—
337#13063320C2314yes—
338#13063320C2312yes—
339#13063319C2314yes—
340#13063319C2312yes—
341#13063318C2314yes—
342#13063318C2314yes—
343#13063318C2312yes—
344#13063318C2314yes—
345#13063318C2314yes—
346#13063318C2314yes—
347#13063318C2314yes—
348#13063318C2314yes—
349#13063318C2314yes—
350#13063318C2314yes—
351#13063318C2314yes—
352#13063318C2314yes—
353#13063318C2312yes—
354#13063318C2314yes—
355#13063318C2314yes—
356#13063318C2314yes—
357#13063318C2314yes—
358#13063318C2312yes—
359#13063318C2314yes—
360#13063318C2314yes—
361#13063318C2314yes—
362#13063318C2314yes—
363#13063318C2314yes—
364#13063318C2312yes—
365#13063318C2312yes—
366#13063318C2312yes—
367#13063318C2312yes—
368#13063318C2312yes—
369#13063318C2312yes—
370#13063318C2314yes—
371#13063317C2314yes—
372#13063317C2311yescharacteristic
373#13063317C2312yes—
374#13063317C2312yes—
375#13063316C2314yes—
376#13063316C2312yes—
377#13063316C2312yes—
378#13063316C2312yes—
379#13063316C2314yes—
380#13063316C2314yes—
381#13063316C2314yes—
382#13063316C2311yescharacteristic
383#13063316C2311yescharacteristic
384#13063316C2311yescharacteristic
385#13063316C2312yes—
386#13063316C2311yescharacteristic
387#13063316C2312yes—
388#13063316C2312yes—
389#13063315C2314yes—
390#13063315C2314yes—
391#13063315C2314yes—
392#13063315C2314yes—
393#13063315C2312yes—
394#13063315C2314yes—
395#13063315C2314yes—
396#13063315C2314yes—
397#13063315C2314yes—
398#13063315C2314yes—
399#13063315C2312yes—
400#13063313C2311yescharacteristic
401#13063313C2314yes—
402#13063312C2311yescharacteristic
403#13063312C2312yes—
404#13063312C2312yes—
405#13063312C2312yes—
406#13063312C2312yes—
407#13063312C2314yes—
408#13063312C2314yes—
409#13063312C2314yes—
410#13063312C2314yes—
411#13063312C2314yes—
412#13063312C2311yescharacteristic
413#13063312C2312yes—
414#13063312C2311yescharacteristic
415#13063312C2311yescharacteristic
416#13063312C2312yes—
417#13063312C2312yes—
418#13063312C2312yes—
419#13063311C2314yes—
420#13063311C2314yes—
421#13063311C2314yes—
422#13063311C2314yes—
423#13063311C2314yes—
424#13063311C2314yes—
425#13063311C2312yes—
426#13063311C2314yes—
427#13063311C2314yes—
428#13063311C2314yes—
429#13063311C2312yes—
430#13063310C2314yes—
431#13063310C2312yes—
432#13063310C2312yes—
433#13063309C2314yes—
434#13063309C2314yes—
435#13063309C2314yes—
436#13063309C2314yes—
437#13063309C2314yes—
438#13063308C2314yes—
439#13063308C2312yes—
440#13063308C2314yes—
441#13063308C2314yes—
442#13063308C2314yes—
443#13063308C2314yes—
444#13063307C2314yes—
445#13063307C2312yes—
446#13063307C2312yes—
447#13063307C2314yes—
448#13063307C2314yes—
449#13063307C2314yes—
450#13063307C2314yes—
451#13063307C2314yes—
452#13063307C2312yes—
453#13063307C2312yes—
454#13063307C2314yes—
455#13063307C2312yes—
456#13063307C2312yes—
457#13063307C2312yes—
458#13063307C2312yes—
459#13063307C2312yes—
460#13063307C2312yes—
461#13063306C2314yes—
462#13063306C2314yes—
463#13063306C2314yes—
464#13063306C2314yes—
465#13063306C2314yes—
466#13063306C2314yes—
467#13063306C2314yes—
468#13063306C2314yes—
469#13063306C2314yes—
470#13063306C2314yes—
471#13063306C2314yes—
472#13063306C2314yes—
473#13063306C2314yes—
474#13063306C2314yes—
475#13063305C2312yes—
476#13063305C2311yescharacteristic
477#13063305C2311yescharacteristic
478#13063305C2311yescharacteristic
479#13063305C2312yes—
480#13063305C2312yes—
481#13063305C2312yes—
482#13063305C2311yescharacteristic
483#13063305C2311yescharacteristic
484#13063305C2312yes—
485#13063305C2312yes—
486#13063304C2312yes—
487#13063304C2312yes—
488#13063304C2312yes—
489#13063304C2312yes—
490#13063304C2312yes—
491#13063304C2312yes—
492#13063304C2314yes—
493#13063304C2314yes—
494#13063304C2314yes—
495#13063304C2314yes—
496#13063304C2314yes—
497#13063304C2314yes—
498#13063304C2314yes—
499#13063304C2311yescharacteristic
500#13063304C2312yes—
501#13063303C2314yes—
502#13063303C2312yes—
503#13063303C2312yes—
504#13063303C2312yes—
505#13063302C2314yes—
506#13063302C2314yes—
507#13063302C2314yes—
508#13063302C2314yes—
509#13063302C2314yes—
510#13063302C2314yes—
511#13063302C2314yes—
512#13063302C2314yes—
513#13063302C2314yes—
514#13063302C2314yes—
515#13063302C2314yes—
516#13063302C2312yes—
517#13063302C2314yes—
518#13063302C2314yes—
519#13063302C2314yes—
520#13063301C2314yes—
521#13063301C2311yescharacteristic
522#13063301C2312yes—
523#13063301C2312yes—
524#13063300C2311yescharacteristic
525#13063299C2312yes—
526#13063299C2314yes—
527#13063299C2311yescharacteristic
528#13063298C2314yes—
529#13063298C2314yes—
530#13063298C2314yes—
531#13063298C2312yes—
532#13063298C2312yes—
533#13063298C2312yes—
534#13063297C2314yes—
535#13063297C2314yes—
536#13063297C2314yes—
537#13063297C2314yes—
538#13063297C2314yes—
539#13063297C2314yes—
540#13063297C2314yes—
541#13063297C2314yes—
542#13063297C2314yes—
543#13063297C2314yes—
544#13063297C2314yes—
545#13063297C2314yes—
546#13063297C2314yes—
547#13063297C2314yes—
548#13063297C2312yes—
549#13063296C2312yes—
550#13063296C2314yes—
551#13063296C2312yes—
552#13063296C2312yes—
553#13063296C2311yescharacteristic
554#13063296C2314yes—
555#13063296C2314yes—
556#13063296C2314yes—
557#13063296C2314yes—
558#13063296C2311yescharacteristic
559#13063296C2311yescharacteristic
560#13063296C2312yes—
561#13063296C2312yes—
562#13063296C2311yescharacteristic
563#13063296C2311yescharacteristic
564#13063296C2312yes—
565#13063296C2312yes—
566#13063296C2312yes—
567#13063295C2312yes—
568#13063294C2314yes—
569#13063294C2314yes—
570#13063294C2314yes—
571#13063294C2314yes—
572#13063294C2314yes—
573#13063293C2314yes—
574#13063293C2312yes—
575Q8×Dic43C2312yes—
576Q8×Dic43C2312yes—
577Q8×Dic43C2311yescharacteristic
578Q8×Dic43C2312yes—
579C4×Dic86C2312yes—
580C4×Dic86C2312yes—
581C4×Dic86C2311yescharacteristic
582C4×Dic86C2311yescharacteristic
583C4×Dic86C2312yes—
584C4×Dic86C2311yescharacteristic
585C4×Dic86C2314yes—
586C4×Dic86C2314yes—
587C4×Dic86C2312yes—
588C4×Dic86C2312yes—
589C4×Dic86C2314yes—
590C4×Dic86C2311yescharacteristic
591C4×Dic86C2311yescharacteristic
592C4×Dic86C2312yes—
593C4×Dic86C2312yes—
594#13063290C2312yes—
595#13063290C2312yes—
596#13063290C2312yes—
597#13063290C2312yes—
598#13063290C2312yes—
599#13063290C2312yes—
600#13063290C2312yes—
601#13063290C2312yes—
602#13063290C2314yes—
603#13063290C2314yes—
604#13063290C2314yes—
605#13063290C2311yescharacteristic
606#13063290C2312yes—
607#13063290C2312yes—
608C4×D172C2311yescharacteristic
609C4×D172C2312yes—
610D4×Dic43C2314yes—
611D4×Dic43C2314yes—
612D4×Dic43C2314yes—
613D4×Dic43C2314yes—
614D4×Dic43C2314yes—
615D4×Dic43C2314yes—
616D4×Dic43C2312yes—
617D4×Dic43C2312yes—
618D4×Dic43C2314yes—
619D4×Dic43C2312yes—
620D4×Dic43C2314yes—
621D4×Dic43C2312yes—
622D4×Dic43C2314yes—
623D4×Dic43C2314yes—
624D4×Dic43C2314yes—
625D4×Dic43C2312yes—
626D4×Dic43C2312yes—
627D4×Dic43C2312yes—
628D4×Dic43C2312yes—
629D4×Dic43C2311yescharacteristic
630D4×Dic43C2312yes—
631D4×Dic43C2314yes—
632D4×Dic43C2312yes—
633#13063287C2312yes—
634#13063287C2312yes—
635#13063287C2312yes—
636#13063287C2311yescharacteristic
637#13063287C2312yes—
638C4×C22⋊D43C2312yes—
639C4×C22⋊D43C2312yes—
640C4×C22⋊D43C2312yes—
641C4×C22⋊D43C2312yes—
642C4×C22⋊D43C2312yes—
643C4×C22⋊D43C2312yes—
644C4×C22⋊D43C2314yes—
645C4×C22⋊D43C2312yes—
646C4×C22⋊D43C2312yes—
647C4×C22⋊D43C2314yes—
648C4×C22⋊D43C2314yes—
649C4×C22⋊D43C2314yes—
650C4×C22⋊D43C2314yes—
651C4×C22⋊D43C2312yes—
652C4×C22⋊D43C2312yes—
653C4×C22⋊D43C2312yes—
654C4×C22⋊D43C2314yes—
655C4×C22⋊D43C2314yes—
656C4×C22⋊D43C2314yes—
657(C22⋊D43)⋊C4C2314yes—
658(C22⋊D43)⋊C4C2314yes—
659(C22⋊D43)⋊C4C2312yes—
660(C22⋊D43)⋊C4C2312yes—
661(C22⋊D43)⋊C4C2312yes—
662(C22⋊D43)⋊C4C2312yes—
663(C22⋊D43)⋊C4C2314yes—
664(C22⋊D43)⋊C4C2314yes—
665(C22⋊D43)⋊C4C2312yes—
666(C22⋊D43)⋊C4C2312yes—
667(C22⋊D43)⋊C4C2314yes—
668(C22⋊D43)⋊C4C2312yes—
669#13063284C2312yes—
670#13063284C2312yes—
671#13063284C2312yes—
672#13063284C2314yes—
673#13063284C2314yes—
674#13063284C2314yes—
675#13063284C2314yes—
676#13063284C2312yes—
677#13063284C2312yes—
678#13063284C2312yes—
679#13063284C2312yes—
680#13063284C2312yes—
681#13063284C2312yes—
682#13063284C2312yes—
683#13063284C2312yes—
684#13063283C2312yes—
685#13063283C2314yes—
686#13063283C2311yescharacteristic
687#13063283C2312yes—
688#13063283C2312yes—
689#13063283C2312yes—
690#13063283C2311yescharacteristic
691#13063282C2314yes—
692#13063282C2312yes—
693#13063282C2312yes—
694#13063281C2314yes—
695#13063281C2314yes—
696#13063281C2314yes—
697#13063281C2314yes—
698#13063281C2314yes—
699#13063281C2312yes—
700#13063281C2312yes—
701#13063281C2312yes—
702#13063281C2314yes—
703#13063281C2314yes—
704#13063281C2314yes—
705#13063281C2314yes—
706#13063281C2314yes—
707C2×C4⋊Dic43C2312yes—
708C2×C4⋊Dic43C2314yes—
709C2×C4⋊Dic43C2312yes—
710C2×C4⋊Dic43C2311yescharacteristic
711C2×C4⋊Dic43C2312yes—
712C2×Dic43⋊C4C2314yes—
713C2×Dic43⋊C4C2312yes—
714C2×Dic43⋊C4C2314yes—
715C2×Dic43⋊C4C2314yes—
716C2×Dic43⋊C4C2312yes—
717C4⋊C4×D43C2312yes—
718C4⋊C4×D43C2314yes—
719C4⋊C4×D43C2314yes—
720C4⋊C4×D43C2312yes—
721C2×C22⋊Dic43C2314yes—
722C2×C22⋊Dic43C2314yes—
723C2×C22⋊Dic43C2314yes—
724C2×C22⋊Dic43C2314yes—
725C2×C22⋊Dic43C2314yes—
726C2×C22⋊Dic43C2312yes—
727C2×C22⋊Dic43C2312yes—
728C2×C22⋊Dic43C2312yes—
729C2×(C2×D43)⋊C4C2312yes—
730C2×C4×Dic43C2311yescharacteristic
731C2×C4×Dic43C2311yescharacteristic
732C2×C4×Dic43C2311yescharacteristic
733C2×C4×Dic43C2312yes—
734C2×C4×Dic43C2312yes—
735C2×C4×Dic43C2314yes—
736C42×D43C2311yescharacteristic
737C42×D43C2311yescharacteristic
738C42×D43C2311yescharacteristic
739C42×D43C2311yescharacteristic
740C42×D43C2311yescharacteristic
741C42×D43C2311yescharacteristic
742C42×D43C2311yescharacteristic
743C42×D43C2311yescharacteristic
744C42×D43C2312yes—
745C2×#41×C43C2312yes—
746C2×#41×C43C2312yes—
747C22×D4×C43C2311yescharacteristic
748C22×D4×C43C2312yes—
749C22×D4×C43C2314yes—
750C22×D4×C43C2312yes—
751C23×C4×C43C2312yes—
752C4⋊Q8×C43C2311yescharacteristic
753#127×C43C2311yescharacteristic
754#127×C43C2312yes—
755#126×C43C2312yes—
756#126×C43C2314yes—
757#125×C43C2311yescharacteristic
758#125×C43C2312yes—
759#124×C43C2311yescharacteristic
760#124×C43C2312yes—
761#124×C43C2314yes—
762#123×C43C2314yes—
763#123×C43C2312yes—
764#123×C43C2314yes—
765#123×C43C2314yes—
766C22⋊Q8×C43C2311yescharacteristic
767C22⋊Q8×C43C2312yes—
768C22⋊Q8×C43C2314yes—
769#121×C43C2312yes—
770#121×C43C2312yes—
771#121×C43C2312yes—
772#121×C43C2312yes—
773#121×C43C2312yes—
774#121×C43C2312yes—
775#121×C43C2311yescharacteristic
776#121×C43C2312yes—
777#121×C43C2314yes—
778#121×C43C2314yes—
779#121×C43C2314yes—
780#121×C43C2314yes—
781#121×C43C2314yes—
782#120×C43C2314yes—
783#120×C43C2314yes—
784#120×C43C2314yes—
785C4×Q8×C43C2311yescharacteristic
786C4×D4×C43C2311yescharacteristic
787C4×D4×C43C2312yes—
788C4×D4×C43C2311yescharacteristic
789C4×D4×C43C2312yes—
790C4×D4×C43C2312yes—
791C4×D4×C43C2311yescharacteristic
792C4×D4×C43C2311yescharacteristic
793C4×D4×C43C2312yes—
794C4×D4×C43C2311yescharacteristic
795C4×D4×C43C2314yes—
796C4×D4×C43C2312yes—
797C4×D4×C43C2312yes—
798C4×D4×C43C2314yes—
799C4×D4×C43C2314yes—
800C4×D4×C43C2312yes—
801#117×C43C2312yes—
802#117×C43C2312yes—
803#117×C43C2312yes—
804C2×C4⋊C4×C43C2311yescharacteristic
805C2×C4⋊C4×C43C2312yes—
806C2×C22⋊C4×C43C2312yes—
807C2×C22⋊C4×C43C2314yes—
808C2×C22⋊C4×C43C2314yes—
809C2×C42×C43C2311yescharacteristic
810C24×C43C2412yes—
811C24×C43C2414yes—
812C23×D43C2411yescharacteristic
813#41×C43—44no—
814#41×C43—44no—
815C2×Q8×C43C2411yescharacteristic
816C2×Q8×C43C2412yes—
817C2×D4×C43—48no—
818C2×D4×C43—42no—
819C2×D4×C43—44no—
820C2×D4×C43—44no—
821C2×D4×C43C2411yescharacteristic
822C2×D4×C43C2411yescharacteristic
823C2×D4×C43C2412yes—
824C2×D4×C43C2414yes—
825C2×D4×C43C2412yes—
826C2×D4×C43C2411yescharacteristic
827C2×D4×C43C2412yes—
828C2×D4×C43C2412yes—
829C2×D4×C43C2414yes—
830C2×D4×C43C2414yes—
831C2×D4×C43C2412yes—
832C2×D4×C43C2414yes—
833C2×D4×C43C2414yes—
834C2×D4×C43C2414yes—
835C22×C4×C43—44no—
836C22×C4×C43C2411yescharacteristic
837C22×C4×C43C2411yescharacteristic
838C22×C4×C43C2411yescharacteristic
839C22×C4×C43C2412yes—
840C22×C4×C43C2412yes—
841C22×C4×C43C2412yes—
842C22×C4×C43C2412yes—
843C22×C4×C43C2412yes—
844C22×C4×C43C2414yes—
845C22×C4×C43C2414yes—
846C22×C4×C43C2414yes—
847C22×C4×C43C2412yes—
848C2×C22⋊D43—44no—
849C2×C22⋊D43C2412yes—
850C2×C22⋊D43C2412yes—
851C2×C22⋊D43C2412yes—
852C2×C22⋊D43C2412yes—
853C2×C22⋊D43C2414yes—
854C2×C22⋊D43C2414yes—
855C2×C22⋊D43C2412yes—
856C2×C22⋊D43C2414yes—
857C2×C22⋊D43C2414yes—
858C2×C22⋊D43C2414yes—
859C2×C22⋊D43C2414yes—
860C2×C22⋊D43C2412yes—
861C2×C22⋊D43C2412yes—
862C2×C22⋊D43C2412yes—
863C2×C22⋊D43C2412yes—
864C22×Dic43C2411yescharacteristic
865C22×Dic43C2412yes—
866C22×Dic43C2411yescharacteristic
867C22×Dic43C2411yescharacteristic
868C22×Dic43C2412yes—
869C22×Dic43C2412yes—
870C22×Dic43C2412yes—
871C22×Dic43C2414yes—
872C22×Dic43C2414yes—
873C22×Dic43C2414yes—
874C22×Dic43C2414yes—
875C22×Dic43C2414yes—
876C22×Dic43C2414yes—
877C22×Dic43C2414yes—
878#10621902—42no—
879#10621900—42no—
880#10621900—44no—
881#10621900—44no—
882#10621900—44no—
883#10621900—44no—
884#10621900—44no—
885#10621900—48no—
886#10621898—44no—
887#10621898—44no—
888C2×D172C2411yescharacteristic
889C2×D172C2412yes—
890C2×D172C2412yes—
891C2×C4×D43—42no—
892C2×C4×D43—42no—
893C2×C4×D43—42no—
894C2×C4×D43C2411yescharacteristic
895C2×C4×D43C2411yescharacteristic
896C2×C4×D43C2411yescharacteristic
897C2×C4×D43C2411yescharacteristic
898C2×C4×D43C2412yes—
899C2×C4×D43C2411yescharacteristic
900C2×C4×D43C2411yescharacteristic
901C2×C4×D43C2411yescharacteristic
902C2×C4×D43C2411yescharacteristic
903C2×C4×D43C2411yescharacteristic
904C2×C4×D43C2411yescharacteristic
905C2×C4×D43C2411yescharacteristic
906C2×C4×D43C2411yescharacteristic
907C2×C4×D43C2412yes—
908C2×C4×D43C2412yes—
909C2×C4×D43C2414yes—
910C2×C4×D43C2414yes—
911C2×Dic86—42no—
912C2×Dic86—44no—
913C2×Dic86—44no—
914C2×Dic86C2411yescharacteristic
915C2×Dic86C2412yes—
916C2×Dic86C2412yes—
917C2×Dic86C2411yescharacteristic
918C2×Dic86C2411yescharacteristic
919C2×Dic86C2412yes—
920C2×Dic86C2414yes—
921C2×Dic86C2412yes—
922C2×Dic86C2414yes—
923C2×Dic86C2412yes—
924C2×Dic86C2414yes—
925C4⋊C4×C43C2411yescharacteristic
926C4⋊C4×C43C2411yescharacteristic
927C4⋊C4×C43C2412yes—
928C4⋊C4×C43C2411yescharacteristic
929C4⋊C4×C43C2412yes—
930C4⋊C4×C43C2414yes—
931C4⋊C4×C43C2411yescharacteristic
932C4⋊C4×C43C2412yes—
933C4⋊C4×C43C2412yes—
934C4⋊C4×C43C2412yes—
935C4⋊C4×C43C2412yes—
936C4⋊C4×C43C2414yes—
937C4⋊C4×C43C2412yes—
938C22⋊C4×C43C2412yes—
939C22⋊C4×C43C2412yes—
940C22⋊C4×C43C2412yes—
941C22⋊C4×C43C2414yes—
942C22⋊C4×C43C2414yes—
943C22⋊C4×C43C2412yes—
944C22⋊C4×C43C2414yes—
945C22⋊C4×C43C2412yes—
946C22⋊C4×C43C2414yes—
947C22⋊C4×C43C2412yes—
948C22⋊C4×C43C2414yes—
949C22⋊C4×C43C2412yes—
950C22⋊C4×C43C2412yes—
951C22⋊C4×C43C2412yes—
952C22⋊C4×C43C2414yes—
953C22⋊C4×C43C2414yes—
954C42×C43C2411yescharacteristic
955C42×C43C2411yescharacteristic
956C42×C43C2411yescharacteristic
957C42×C43C2411yescharacteristic
958C42×C43C2414yes—
959C42×C43C2412yes—
960C22⋊Dic43C2412yes—
961C22⋊Dic43C2412yes—
962C22⋊Dic43C2412yes—
963C22⋊Dic43C2412yes—
964C22⋊Dic43C2412yes—
965C22⋊Dic43C2412yes—
966C22⋊Dic43C2412yes—
967C22⋊Dic43C2414yes—
968C22⋊Dic43C2414yes—
969C22⋊Dic43C2414yes—
970C22⋊Dic43C2412yes—
971C22⋊Dic43C2412yes—
972C22⋊Dic43C2414yes—
973C22⋊Dic43C2414yes—
974C22⋊Dic43C2414yes—
975C22⋊Dic43C2412yes—
976C22⋊Dic43C2412yes—
977C22⋊Dic43C2412yes—
978C22⋊Dic43C2412yes—
979C22⋊Dic43C2412yes—
980C22⋊Dic43C2412yes—
981C22⋊Dic43C2414yes—
982C22⋊Dic43C2414yes—
983C22⋊Dic43C2414yes—
984C22⋊Dic43C2414yes—
985C22⋊Dic43C2414yes—
986C22⋊Dic43C2414yes—
987C22⋊Dic43C2414yes—
988C22⋊Dic43C2414yes—
989C22⋊Dic43C2414yes—
990C22⋊Dic43C2414yes—
991(C2×D43)⋊C4C2412yes—
992(C2×D43)⋊C4C2412yes—
993(C2×D43)⋊C4C2412yes—
994(C2×D43)⋊C4C2412yes—
995(C2×D43)⋊C4C2412yes—
996(C2×D43)⋊C4C2412yes—
997(C2×D43)⋊C4C2412yes—
998(C2×D43)⋊C4C2412yes—
999(C2×D43)⋊C4C2412yes—
1000(C2×D43)⋊C4C2414yes—
1001(C2×D43)⋊C4C2412yes—
1002(C2×D43)⋊C4C2414yes—
1003(C2×D43)⋊C4C2414yes—
1004(C2×D43)⋊C4C2412yes—
1005(C2×D43)⋊C4C2412yes—
1006(C2×D43)⋊C4C2414yes—
1007(C2×D43)⋊C4C2412yes—
1008(C2×D43)⋊C4C2412yes—
1009C4⋊Dic43C2412yes—
1010C4⋊Dic43C2411yescharacteristic
1011C4⋊Dic43C2412yes—
1012C4⋊Dic43C2414yes—
1013C4⋊Dic43C2412yes—
1014C4⋊Dic43C2411yescharacteristic
1015C4⋊Dic43C2412yes—
1016C4⋊Dic43C2414yes—
1017C4⋊Dic43C2412yes—
1018C4⋊Dic43C2412yes—
1019C4⋊Dic43C2412yes—
1020C4⋊Dic43C2411yescharacteristic
1021C4⋊Dic43C2412yes—
1022C4⋊Dic43C2412yes—
1023C4⋊Dic43C2412yes—
1024C4⋊Dic43C2412yes—
1025C4⋊Dic43C2414yes—
1026C4⋊Dic43C2412yes—
1027C4⋊Dic43C2411yescharacteristic
1028C4⋊Dic43C2412yes—
1029C4⋊Dic43C2414yes—
1030C4⋊Dic43C2414yes—
1031C4⋊Dic43C2412yes—
1032C4⋊Dic43C2412yes—
1033C4⋊Dic43C2414yes—
1034Dic43⋊C4C2412yes—
1035Dic43⋊C4C2414yes—
1036Dic43⋊C4C2414yes—
1037Dic43⋊C4C2414yes—
1038Dic43⋊C4C2414yes—
1039Dic43⋊C4C2414yes—
1040Dic43⋊C4C2412yes—
1041Dic43⋊C4C2412yes—
1042Dic43⋊C4C2412yes—
1043Dic43⋊C4C2412yes—
1044Dic43⋊C4C2412yes—
1045Dic43⋊C4C2414yes—
1046Dic43⋊C4C2412yes—
1047Dic43⋊C4C2412yes—
1048Dic43⋊C4C2414yes—
1049Dic43⋊C4C2414yes—
1050Dic43⋊C4C2412yes—
1051Dic43⋊C4C2414yes—
1052Dic43⋊C4C2412yes—
1053Dic43⋊C4C2412yes—
1054Dic43⋊C4C2412yes—
1055Dic43⋊C4C2414yes—
1056Dic43⋊C4C2414yes—
1057Dic43⋊C4C2412yes—
1058Dic43⋊C4C2412yes—
1059Dic43⋊C4C2414yes—
1060Dic43⋊C4C2412yes—
1061Dic43⋊C4C2412yes—
1062Dic43⋊C4C2414yes—
1063Dic43⋊C4C2414yes—
1064Dic43⋊C4C2414yes—
1065Dic43⋊C4C2414yes—
1066Dic43⋊C4C2412yes—
1067Dic43⋊C4C2412yes—
1068C4×Dic43C2411yescharacteristic
1069C4×Dic43C2411yescharacteristic
1070C4×Dic43C2411yescharacteristic
1071C4×Dic43C2411yescharacteristic
1072C4×Dic43C2411yescharacteristic
1073C4×Dic43C2411yescharacteristic
1074C4×Dic43C2411yescharacteristic
1075C4×Dic43C2411yescharacteristic
1076C4×Dic43C2411yescharacteristic
1077C4×Dic43C2411yescharacteristic
1078C4×Dic43C2411yescharacteristic
1079C4×Dic43C2411yescharacteristic
1080C4×Dic43C2412yes—
1081C4×Dic43C2412yes—
1082C4×Dic43C2412yes—
1083C4×Dic43C2412yes—
1084C4×Dic43C2414yes—
1085C4×Dic43C2412yes—
1086C4×Dic43C2414yes—
1087C4×Dic43C2412yes—
1088C4×Dic43C2414yes—
1089C4×Dic43C2412yes—
1090C4×Dic43C2412yes—
1091C4×Dic43C2412yes—
1092C4×Dic43C2414yes—
1093C4×Dic43C2414yes—
1094C4×Dic43C2414yes—
1095C4×Dic43C2414yes—
1096C4×Dic43C2414yes—
1097C23×C43—24no—
1098C23×C43—42no—
1099C23×C43—42no—
1100C23×C43—44no—
1101C23×C43—44no—
1102C23×C43—44no—
1103C23×C43C2512yes—
1104C23×C43C2512yes—
1105C23×C43C2512yes—
1106C23×C43C2514yes—
1107C23×C43C2511yescharacteristic
1108C22×D43—22no—
1109C22×D43—41no—
1110C22×D43—41no—
1111C22×D43C2511yescharacteristic
1112C22×D43C2511yescharacteristic
1113C22×D43C2512yes—
1114Q8×C43—22no—
1115Q8×C43—42no—
1116D4×C43—24no—
1117D4×C43—28no—
1118D4×C43—22no—
1119D4×C43—24no—
1120D4×C43—22no—
1121D4×C43—24no—
1122D4×C43—22no—
1123D4×C43—44no—
1124D4×C43—42no—
1125D4×C43—44no—
1126D4×C43—44no—
1127D4×C43—44no—
1128D4×C43—42no—
1129D4×C43—44no—
1130C2×C4×C43—22no—
1131C2×C4×C43—22no—
1132C2×C4×C43—24no—
1133C2×C4×C43—24no—
1134C2×C4×C43—22no—
1135C2×C4×C43—24no—
1136C2×C4×C43—42no—
1137C2×C4×C43—42no—
1138C2×C4×C43—42no—
1139C2×C4×C43—44no—
1140C2×C4×C43—44no—
1141C2×C4×C43—44no—
1142C2×C4×C43C2511yescharacteristic
1143C2×C4×C43C2511yescharacteristic
1144C2×C4×C43C2512yes—
1145C2×C4×C43C2512yes—
1146C2×C4×C43C2514yes—
1147C2×C4×C43C2512yes—
1148C2×C4×C43C2511yescharacteristic
1149C2×C4×C43C2512yes—
1150C2×C4×C43C2511yescharacteristic
1151C2×C4×C43C2512yes—
1152C2×C4×C43C2511yescharacteristic
1153C2×C4×C43C2511yescharacteristic
1154C22⋊D43—24no—
1155C22⋊D43—44no—
1156C22⋊D43—42no—
1157C22⋊D43—42no—
1158C22⋊D43—42no—
1159C22⋊D43—44no—
1160C22⋊D43—44no—
1161C22⋊D43—44no—
1162C22⋊D43—44no—
1163C22⋊D43—42no—
1164C22⋊D43—44no—
1165C22⋊D43—42no—
1166C22⋊D43—42no—
1167C22⋊D43—42no—
1168C22⋊D43—42no—
1169C2×Dic43—22no—
1170C2×Dic43—24no—
1171C2×Dic43—42no—
1172C2×Dic43—44no—
1173C2×Dic43—44no—
1174C2×Dic43—41no—
1175C2×Dic43—41no—
1176C2×Dic43—42no—
1177C2×Dic43—44no—
1178C2×Dic43—44no—
1179C2×Dic43—44no—
1180C2×Dic43—44no—
1181C2×Dic43—42no—
1182C2×Dic43—44no—
1183C2×Dic43C2511yescharacteristic
1184C2×Dic43C2511yescharacteristic
1185C2×Dic43C2511yescharacteristic
1186C2×Dic43C2511yescharacteristic
1187C2×Dic43C2512yes—
1188C2×Dic43C2514yes—
1189C2×Dic43C2512yes—
1190C2×Dic43C2512yes—
1191C2×Dic43C2511yescharacteristic
1192C2×Dic43C2512yes—
1193C2×Dic43C2514yes—
1194C2×Dic43C2511yescharacteristic
1195C2×Dic43C2512yes—
1196C2×Dic43C2512yes—
1197C2×Dic43C2512yes—
1198D172—22no—
1199D172—42no—
1200D172—42no—
1201C4×D43—22no—
1202C4×D43—22no—
1203C4×D43—22no—
1204C4×D43—22no—
1205C4×D43—24no—
1206C4×D43—41no—
1207C4×D43—41no—
1208C4×D43—41no—
1209C4×D43—41no—
1210C4×D43—41no—
1211C4×D43—41no—
1212C4×D43—41no—
1213C4×D43—41no—
1214C4×D43—44no—
1215C4×D43—42no—
1216C4×D43—44no—
1217C4×D43—42no—
1218Dic86—22no—
1219Dic86—22no—
1220Dic86—24no—
1221Dic86—22no—
1222Dic86—24no—
1223Dic86—44no—
1224Dic86—42no—
1225Dic86—44no—
1226Dic86—42no—
1227Dic86—42no—
1228Dic86—44no—
1229#62827—431nomaximal, Sylow
1230C22×C43—21no—
1231C22×C43—21no—
1232C22×C43—22no—
1233C22×C43—22no—
1234C22×C43—22no—
1235C22×C43—22no—
1236C22×C43—22no—
1237C22×C43—22no—
1238C22×C43—22no—
1239C22×C43—22no—
1240C22×C43—24no—
1241C22×C43—22no—
1242C22×C43—24no—
1243C22×C43—24no—
1244C22×C43—84no—
1245C22×C43—164no—
1246C22×C43#58512yes—
1247C22×C43C2611yescharacteristic
1248C2×D43—21no—
1249C2×D43—21no—
1250C2×D43—21no—
1251C2×D43—21no—
1252C2×D43—21no—
1253C2×D43—21no—
1254C2×D43—22no—
1255C2×D43—22no—
1256C2×D43—22no—
1257C2×D43—44no—
1258C4×C43—22no—
1259C4×C43—21no—
1260C4×C43—22no—
1261C4×C43—22no—
1262C4×C43—24no—
1263C4×C43—21no—
1264C4×C43—21no—
1265C4×C43—22no—
1266C4×C43—21no—
1267C4×C43—22no—
1268C4×C43#58512yes—
1269C4×C43#58512yes—
1270Dic43—22no—
1271Dic43—22no—
1272Dic43—24no—
1273Dic43—24no—
1274Dic43—22no—
1275Dic43—22no—
1276Dic43—21no—
1277Dic43—21no—
1278Dic43—22no—
1279Dic43—22no—
1280Dic43—21no—
1281Dic43—21no—
1282Dic43—21no—
1283Dic43—21no—
1284Dic43—22no—
1285#3566—434no—
1286#3566—434no—
1287#3565—432no—
1288#3562—432no—
1289#3555—431no—
1290#3554—431no—
1291#3547—431no—
1292#3546—431no—
1293#3542—432no—
1294#3541—432no—
1295#3533—434no—
1296#3524—432no—
1297#3524—432no—
1298#3523—431no—
1299#3522—431no—
1300#3521—434no—
1301#3521—432no—
1302#3521—432no—
1303#3520—431no—
1304#3519D4311yescharacteristic, complemented
1305#3518—431no—
1306#3517—431no—
1307#3515—431no—
1308#3515—432no—
1309#3514—432no—
1310#3514—431no—
1311#3512—432no—
1312#3510—432no—
1313#3506—432no—
1314#3505—432no—
1315#3495—432no—
1316#3494—432no—
1317#3444—431no—
1318#3444—431no—
1319C2×#529—431no—
1320C2×C43—22no—
1321C2×C43—42no—
1322C2×C43—42no—
1323C2×C43—44no—
1324C2×C43—42no—
1325C2×C43C2×#58511yescharacteristic
1326C2×C43C2×#58511yescharacteristic
1327C2×C43C2×#58511yescharacteristic
1328D43—42no—
1329D43—41no—
1330D43—41no—
1331#563—434no—
1332#563—434no—
1333#562—434no—
1334#562—434no—
1335#562—434no—
1336#562—434no—
1337#560—434no—
1338#560—434no—
1339#559—431no—
1340#559—432no—
1341#559—434no—
1342#559—434no—
1343#559—434no—
1344#559—432no—
1345Q82—431no—
1346#557—432no—
1347#557—432no—
1348#557—431no—
1349#557—431no—
1350#556—434no—
1351#556—432no—
1352#556—432no—
1353#556—434no—
1354#556—434no—
1355#556—431no—
1356#556—432no—
1357#556—431no—
1358#556—432no—
1359#556—432no—
1360#555—434no—
1361#555—432no—
1362#555—434no—
1363#555—432no—
1364#555—432no—
1365#555C2×D4311yescharacteristic, complemented
1366#554—431no—
1367#554—434no—
1368#554—432no—
1369#554—432no—
1370#554—432no—
1371#554C2×D4311yescharacteristic, complemented
1372#553—434no—
1373#553—434no—
1374#553—434no—
1375#553—434no—
1376#553—434no—
1377#553—434no—
1378#553—434no—
1379#553—432no—
1380#553—434no—
1381#553—432no—
1382#553—432no—
1383#553—434no—
1384#553—434no—
1385#553—432no—
1386#553C2×D4312yes—
1387#553C2×D4312yescomplemented
1388#552—434no—
1389#552—432no—
1390#552—434no—
1391#552—434no—
1392#552—434no—
1393#552—434no—
1394#552—434no—
1395#552—434no—
1396#552—434no—
1397#552—434no—
1398#552—432no—
1399#552—432no—
1400#552—432no—
1401#552—432no—
1402#552—432no—
1403#551—434no—
1404#551—434no—
1405#551—434no—
1406#551—434no—
1407#551—434no—
1408#551—434no—
1409#551—434no—
1410#551—434no—
1411#551—434no—
1412#551—434no—
1413#551—434no—
1414#550—432no—
1415#550—431no—
1416#550—432no—
1417#550—432no—
1418#550C2×D4311yescharacteristic, complemented
1419D4×Q8—432no—
1420D4×Q8—431no—
1421D4×Q8—431no—
1422#548—432no—
1423#548—432no—
1424#548—432no—
1425#548—432no—
1426#548—432no—
1427#548—432no—
1428#547—432no—
1429#547—434no—
1430#547—432no—
1431#547—434no—
1432#547—432no—
1433#547—431no—
1434#547—432no—
1435#547—431no—
1436#546—434no—
1437#546—434no—
1438#546—432no—
1439#546—432no—
1440#546—432no—
1441#546—432no—
1442#546—432no—
1443#546C2×D4314yes—
1444#546C2×D4312yescomplemented
1445D42C2×D4312yes—
1446D42C2×D4311yescharacteristic, complemented
1447#544—432no—
1448#544—432no—
1449#542—434no—
1450#542—434no—
1451#542—434no—
1452#542—434no—
1453#542—434no—
1454#542—432no—
1455#542—432no—
1456#542—432no—
1457#542—432no—
1458#542—434no—
1459#542—432no—
1460#542—432no—
1461#542—432no—
1462#542—432no—
1463#541—434no—
1464#541—434no—
1465#541—432no—
1466#541—432no—
1467#541—432no—
1468#541—434no—
1469#541—432no—
1470#540—432no—
1471#540—432no—
1472#540—432no—
1473#540—434no—
1474#540—434no—
1475#540—434no—
1476#540C2×D4312yescomplemented
1477#539—434no—
1478#539—434no—
1479#539—434no—
1480#539—434no—
1481#539—434no—
1482#539—434no—
1483#539—434no—
1484#538—434no—
1485#538—434no—
1486#538—434no—
1487#538—434no—
1488#538—434no—
1489#538—434no—
1490#538—434no—
1491#538—434no—
1492#538C2×D4314yescomplemented
1493#537—432no—
1494#537—432no—
1495#536—432no—
1496#536—432no—
1497#535—432no—
1498#535—432no—
1499#535—434no—
1500#534—434no—
1501#533—431no—
1502#533—431no—
1503#533—431no—
1504#533—431no—
1505#533—432no—
1506#533—431no—
1507#533—432no—
1508#533—431no—
1509#532—431no—
1510#532—431no—
1511#532—432no—
1512#532—431no—
1513#532—431no—
1514#532—432no—
1515#532—431no—
1516#532C2×D4311yescharacteristic
1517#529—432no—
1518#529—432no—
1519#529—431no—
1520#529—431no—
1521#529—432no—
1522#529—432no—
1523#529—432no—
1524#529—434no—
1525#529—432no—
1526#529—432no—
1527#529—432no—
1528#529—432no—
1529#529—432no—
1530#529—432no—
1531#529—434no—
1532#529—431no—
1533#529—431no—
1534#529—431no—
1535#529—431no—
1536#529—431no—
1537#529—431no—
1538#529—432no—
1539#529—431no—
1540#529—431no—
1541#529—432no—
1542#529—432no—
1543#529—432no—
1544#529—432no—
1545#529—432no—
1546#529—434no—
1547#529—432no—
1548#529—432no—
1549#529—432no—
1550#529—431no—
1551#529C2×D4311yescharacteristic
1552C2×#126—432no—
1553C2×#126—434no—
1554C2×#125—432no—
1555C2×#125—431no—
1556C2×#124—431no—
1557C2×#124—432no—
1558#525—432no—
1559#525—432no—
1560#525—432no—
1561#525—431no—
1562#525—431no—
1563#525—432no—
1564#525—432no—
1565#525—432no—
1566#525C2×D4312yes—
1567C2×#123—432no—
1568C2×C22⋊Q8—432no—
1569C2×C22⋊Q8—431no—
1570C2×#121—431no—
1571C2×#121C2×D4312yes—
1572#520—432no—
1573#520—434no—
1574#520—432no—
1575#520—432no—
1576#520—432no—
1577#519—432no—
1578#519—432no—
1579#518—432no—
1580#518—434no—
1581#518C2×D4312yescomplemented
1582C4×#41—432no—
1583C4×#41—431no—
1584C4×#41—432no—
1585C4×#41—431no—
1586C4×#41—432no—
1587C4×#41—432no—
1588C4×#41—432no—
1589C2×C4×Q8—431no—
1590C2×C4×D4—432no—
1591C2×C4×D4C2×D4311yescharacteristic
1592C2×#117—432no—
1593C22×C42—431no—
1594C43#6282711yescharacteristic, complemented, Sylow
1595C2×#41—431no—
1596C2×#41—432no—
1597C2×#41—431no—
1598C2×#41—432no—
1599C2×#41—432no—
1600C2×#41—434no—
1601C2×#41—432no—
1602C2×#41—432no—
1603C2×#41—432no—
1604C2×#41—432no—
1605C2×#41C22×D4312yes—
1606C2×#41C22×D4312yes—
1607C22×Q8—431no—
1608C22×Q8—432no—
1609C22×Q8—432no—
1610C22×D4—432no—
1611C22×D4C22×D4311yescharacteristic
1612C22×D4C22×D4314yes—
1613C22×D4C22×D4312yes—
1614C22×D4C22×D4312yes—
1615C23×C4—431no—
1616C23×C4—431no—
1617C23×C4—431no—
1618C23×C4C22×D4312yes—
1619C4⋊Q8—431no—
1620C4⋊Q8—432no—
1621C4⋊Q8—434no—
1622C4⋊Q8—431no—
1623C4⋊Q8—431no—
1624C4⋊Q8—432no—
1625C4⋊Q8—432no—
1626C4⋊Q8—432no—
1627C4⋊Q8—432no—
1628C4⋊Q8—434no—
1629C4⋊Q8—434no—
1630C4⋊Q8—431no—
1631C4⋊Q8—431no—
1632C4⋊Q8—432no—
1633C4⋊Q8—434no—
1634C4⋊Q8C22×D4311yescharacteristic
1635#127—431no—
1636#127—432no—
1637#127—434no—
1638#127—434no—
1639#127C22×D4311yescharacteristic
1640#127C22×D4312yes—
1641#126—432no—
1642#126—434no—
1643#126—434no—
1644#126—434no—
1645#126—432no—
1646#126—432no—
1647#126—432no—
1648#126—432no—
1649#126—432no—
1650#126—432no—
1651#126—432no—
1652#126—432no—
1653#126—432no—
1654#126—434no—
1655#126—434no—
1656#126—434no—
1657#126—434no—
1658#126—434no—
1659#126—434no—
1660#126—434no—
1661#126—434no—
1662#126—434no—
1663#126—434no—
1664#126—434no—
1665#126—434no—
1666#126—434no—
1667#126—434no—
1668#126—434no—
1669#126—434no—
1670#126—434no—
1671#126—434no—
1672#126—434no—
1673#126—434no—
1674#126—434no—
1675#126—432no—
1676#126—434no—
1677#126C22×D4312yes—
1678#126C22×D4314yes—
1679#125—431no—
1680#125—431no—
1681#125—432no—
1682#125—432no—
1683#125—432no—
1684#125—431no—
1685#125—431no—
1686#125—434no—
1687#125—434no—
1688#125—432no—
1689#125—432no—
1690#125—432no—
1691#125—434no—
1692#125—434no—
1693#125—434no—
1694#125—432no—
1695#125—432no—
1696#125—434no—
1697#125—434no—
1698#125—434no—
1699#125—434no—
1700#125—434no—
1701#125—434no—
1702#125—434no—
1703#125—434no—
1704#125—432no—
1705#125—432no—
1706#125—431no—
1707#125—434no—
1708#125C22×D4312yes—
1709#125C22×D4311yescharacteristic
1710#124—431no—
1711#124—431no—
1712#124—432no—
1713#124—432no—
1714#124—431no—
1715#124—431no—
1716#124—432no—
1717#124—434no—
1718#124—434no—
1719#124—432no—
1720#124—432no—
1721#124—432no—
1722#124—432no—
1723#124—432no—
1724#124—434no—
1725#124—434no—
1726#124—434no—
1727#124—432no—
1728#124—432no—
1729#124—434no—
1730#124—434no—
1731#124—434no—
1732#124—434no—
1733#124—434no—
1734#124—434no—
1735#124—434no—
1736#124—434no—
1737#124—434no—
1738#124—431no—
1739#124—434no—
1740#124C22×D4312yes—
1741#124C22×D4311yescharacteristic
1742#124C22×D4314yes—
1743#123—434no—
1744#123—434no—
1745#123—434no—
1746#123—434no—
1747#123—434no—
1748#123—434no—
1749#123—434no—
1750#123—434no—
1751#123—434no—
1752#123—434no—
1753#123—434no—
1754#123—434no—
1755#123—434no—
1756#123—434no—
1757#123—432no—
1758#123—434no—
1759#123—434no—
1760#123—434no—
1761#123—434no—
1762#123—434no—
1763#123—432no—
1764#123—432no—
1765#123—434no—
1766#123—432no—
1767#123—432no—
1768#123—432no—
1769#123—432no—
1770#123—432no—
1771#123—432no—
1772#123—432no—
1773#123—432no—
1774#123—432no—
1775#123—432no—
1776#123—434no—
1777#123—434no—
1778#123—434no—
1779#123—434no—
1780#123—434no—
1781#123—434no—
1782#123—434no—
1783#123—434no—
1784#123—434no—
1785#123—434no—
1786#123—434no—
1787#123—434no—
1788#123C22×D4312yes—
1789#123C22×D4314yes—
1790#123C22×D4314yes—
1791#123C22×D4314yes—
1792C22⋊Q8—432no—
1793C22⋊Q8—431no—
1794C22⋊Q8—432no—
1795C22⋊Q8—434no—
1796C22⋊Q8—431no—
1797C22⋊Q8—432no—
1798C22⋊Q8—434no—
1799C22⋊Q8—434no—
1800C22⋊Q8—432no—
1801C22⋊Q8—432no—
1802C22⋊Q8—432no—
1803C22⋊Q8—432no—
1804C22⋊Q8—432no—
1805C22⋊Q8—432no—
1806C22⋊Q8—434no—
1807C22⋊Q8—434no—
1808C22⋊Q8—434no—
1809C22⋊Q8—434no—
1810C22⋊Q8—434no—
1811C22⋊Q8—431no—
1812C22⋊Q8—431no—
1813C22⋊Q8—432no—
1814C22⋊Q8—431no—
1815C22⋊Q8—431no—
1816C22⋊Q8—432no—
1817C22⋊Q8—432no—
1818C22⋊Q8—432no—
1819C22⋊Q8—432no—
1820C22⋊Q8—431no—
1821C22⋊Q8—432no—
1822C22⋊Q8—432no—
1823C22⋊Q8—432no—
1824C22⋊Q8—432no—
1825C22⋊Q8—434no—
1826C22⋊Q8—432no—
1827C22⋊Q8—434no—
1828C22⋊Q8—434no—
1829C22⋊Q8—434no—
1830C22⋊Q8—434no—
1831C22⋊Q8—434no—
1832C22⋊Q8—434no—
1833C22⋊Q8—434no—
1834C22⋊Q8—434no—
1835C22⋊Q8—434no—
1836C22⋊Q8—434no—
1837C22⋊Q8—434no—
1838C22⋊Q8—434no—
1839C22⋊Q8—434no—
1840C22⋊Q8—434no—
1841C22⋊Q8C22×D4311yescharacteristic
1842C22⋊Q8C22×D4312yes—
1843C22⋊Q8C22×D4314yes—
1844#121—431no—
1845#121—431no—
1846#121—432no—
1847#121—431no—
1848#121—431no—
1849#121—432no—
1850#121—432no—
1851#121—432no—
1852#121—431no—
1853#121—432no—
1854#121—432no—
1855#121—432no—
1856#121—432no—
1857#121—432no—
1858#121—434no—
1859#121—434no—
1860#121—434no—
1861#121—434no—
1862#121—434no—
1863#121—434no—
1864#121—434no—
1865#121—434no—
1866#121—434no—
1867#121—434no—
1868#121—434no—
1869#121—434no—
1870#121—434no—
1871#121—434no—
1872#121—434no—
1873#121—434no—
1874#121—434no—
1875#121—434no—
1876#121—434no—
1877#121—431no—
1878#121—432no—
1879#121—434no—
1880#121—431no—
1881#121—432no—
1882#121—432no—
1883#121—432no—
1884#121—434no—
1885#121—434no—
1886#121—434no—
1887#121C22×D4311yescharacteristic
1888#121C22×D4312yes—
1889#121C22×D4314yes—
1890#121C22×D4314yes—
1891#121C22×D4312yes—
1892#121C22×D4312yes—
1893#121C22×D4312yes—
1894#121C22×D4312yes—
1895#121C22×D4312yes—
1896#121C22×D4312yes—
1897#121C22×D4314yes—
1898#121C22×D4314yes—
1899#121C22×D4314yes—
1900#120—434no—
1901#120—434no—
1902#120—434no—
1903#120—434no—
1904#120—434no—
1905#120—432no—
1906#120—434no—
1907#120—432no—
1908#120C22×D4314yes—
1909#120C22×D4314yes—
1910#120C22×D4314yes—
1911C4×Q8—431no—
1912C4×Q8—432no—
1913C4×Q8—432no—
1914C4×Q8—432no—
1915C4×Q8—431no—
1916C4×Q8—432no—
1917C4×Q8—432no—
1918C4×Q8—432no—
1919C4×Q8—432no—
1920C4×Q8—432no—
1921C4×Q8—432no—
1922C4×Q8—434no—
1923C4×Q8—434no—
1924C4×Q8—432no—
1925C4×Q8—432no—
1926C4×Q8—432no—
1927C4×Q8—434no—
1928C4×Q8—432no—
1929C4×Q8—431no—
1930C4×Q8—431no—
1931C4×Q8—432no—
1932C4×Q8—431no—
1933C4×Q8—431no—
1934C4×Q8—432no—
1935C4×Q8—432no—
1936C4×Q8—432no—
1937C4×Q8—431no—
1938C4×Q8—432no—
1939C4×Q8—432no—
1940C4×Q8—432no—
1941C4×Q8—434no—
1942C4×Q8—434no—
1943C4×Q8—434no—
1944C4×Q8C22×D4311yescharacteristic
1945C4×D4—432no—
1946C4×D4—431no—
1947C4×D4—434no—
1948C4×D4—432no—
1949C4×D4—434no—
1950C4×D4—432no—
1951C4×D4—432no—
1952C4×D4—432no—
1953C4×D4—434no—
1954C4×D4—434no—
1955C4×D4—434no—
1956C4×D4—434no—
1957C4×D4—434no—
1958C4×D4—434no—
1959C4×D4—432no—
1960C4×D4—434no—
1961C4×D4—432no—
1962C4×D4—434no—
1963C4×D4—434no—
1964C4×D4—432no—
1965C4×D4—432no—
1966C4×D4—432no—
1967C4×D4—434no—
1968C4×D4—432no—
1969C4×D4—432no—
1970C4×D4—432no—
1971C4×D4—432no—
1972C4×D4—432no—
1973C4×D4—432no—
1974C4×D4—432no—
1975C4×D4—432no—
1976C4×D4—434no—
1977C4×D4—432no—
1978C4×D4—432no—
1979C4×D4—434no—
1980C4×D4—432no—
1981C4×D4—434no—
1982C4×D4—434no—
1983C4×D4—434no—
1984C4×D4—434no—
1985C4×D4—434no—
1986C4×D4—434no—
1987C4×D4—431no—
1988C4×D4—432no—
1989C4×D4—432no—
1990C4×D4—432no—
1991C4×D4—432no—
1992C4×D4—432no—
1993C4×D4—432no—
1994C4×D4—434no—
1995C4×D4—432no—
1996C4×D4—432no—
1997C4×D4—434no—
1998C4×D4—432no—
1999C4×D4—432no—
2000C4×D4—432no—
2001C4×D4—434no—
2002C4×D4—434no—
2003C4×D4—434no—
2004C4×D4—432no—
2005C4×D4—431no—
2006C4×D4C22×D4311yescharacteristic
2007C4×D4C22×D4311yescharacteristic
2008C4×D4C22×D4312yes—
2009C4×D4C22×D4311yescharacteristic
2010C4×D4C22×D4312yes—
2011C4×D4C22×D4311yescharacteristic
2012C4×D4C22×D4312yes—
2013C4×D4C22×D4312yes—
2014C4×D4C22×D4312yes—
2015C4×D4C22×D4311yescharacteristic
2016C4×D4C22×D4314yes—
2017C4×D4C22×D4314yes—
2018C4×D4C22×D4312yes—
2019C4×D4C22×D4312yes—
2020C4×D4C22×D4314yes—
2021#117—432no—
2022#117—432no—
2023#117—432no—
2024#117—432no—
2025#117—432no—
2026#117—432no—
2027#117—432no—
2028#117—432no—
2029#117—432no—
2030#117—434no—
2031#117—432no—
2032#117—434no—
2033#117—434no—
2034#117—432no—
2035#117—434no—
2036#117—431no—
2037#117—432no—
2038#117—432no—
2039#117—431no—
2040#117—432no—
2041#117—432no—
2042#117—434no—
2043#117—432no—
2044#117—432no—
2045#117—432no—
2046#117—434no—
2047#117—434no—
2048#117—434no—
2049#117—434no—
2050#117—434no—
2051#117—434no—
2052#117—434no—
2053#117—434no—
2054#117—434no—
2055#117—434no—
2056#117—432no—
2057#117—432no—
2058#117—434no—
2059#117C22×D4312yes—
2060#117C22×D4312yes—
2061#117C22×D4312yes—
2062C2×C4⋊C4—432no—
2063C2×C4⋊C4—432no—
2064C2×C4⋊C4—432no—
2065C2×C4⋊C4—431no—
2066C2×C4⋊C4—432no—
2067C2×C4⋊C4—434no—
2068C2×C4⋊C4—432no—
2069C2×C4⋊C4—434no—
2070C2×C4⋊C4—434no—
2071C2×C4⋊C4—434no—
2072C2×C4⋊C4—432no—
2073C2×C4⋊C4—432no—
2074C2×C4⋊C4—434no—
2075C2×C4⋊C4—434no—
2076C2×C4⋊C4C22×D4311yescharacteristic
2077C2×C4⋊C4C22×D4312yes—
2078C2×C22⋊C4—432no—
2079C2×C22⋊C4—432no—
2080C2×C22⋊C4—432no—
2081C2×C22⋊C4—434no—
2082C2×C22⋊C4—434no—
2083C2×C22⋊C4—434no—
2084C2×C22⋊C4—434no—
2085C2×C22⋊C4—434no—
2086C2×C22⋊C4—432no—
2087C2×C22⋊C4C22×D4312yes—
2088C2×C22⋊C4C22×D4314yes—
2089C2×C22⋊C4C22×D4314yes—
2090C2×C42—431no—
2091C2×C42—432no—
2092C2×C42—432no—
2093C2×C42—434no—
2094C2×C42—431no—
2095C2×C42—431no—
2096C2×C42—432no—
2097C2×C42—431no—
2098C2×C42—431no—
2099C2×C42—431no—
2100C2×C42—431no—
2101C2×C42—431no—
2102C2×C42—431no—
2103C2×C42—431no—
2104C2×C42—431no—
2105C2×C42C22×D4311yescharacteristic
2106C24—431no—
2107C24C23×D4312yes—
2108C24C23×D4314yes—
2109#41—44no—
2110#41—44no—
2111#41—1724no—
2112#41—1724no—
2113#41—1724no—
2114#41—1728no—
2115#41—1722no—
2116#41—1724no—
2117#41—1724no—
2118#41—1724no—
2119#41—1724no—
2120#41—1722no—
2121C2×Q8—431no—
2122C2×Q8—431no—
2123C2×Q8—432no—
2124C2×Q8—432no—
2125C2×Q8—431no—
2126C2×Q8—434no—
2127C2×Q8—432no—
2128C2×Q8—432no—
2129C2×Q8—432no—
2130C2×Q8—434no—
2131C2×Q8—434no—
2132C2×Q8—1724no—
2133C2×Q8—1722no—
2134C2×Q8—1724no—
2135C2×Q8C23×D4311yescharacteristic
2136C2×Q8C23×D4312yes—
2137C2×D4—44no—
2138C2×D4—42no—
2139C2×D4—44no—
2140C2×D4—48no—
2141C2×D4—432no—
2142C2×D4—432no—
2143C2×D4—432no—
2144C2×D4—434no—
2145C2×D4—432no—
2146C2×D4—434no—
2147C2×D4—434no—
2148C2×D4—432no—
2149C2×D4—432no—
2150C2×D4—432no—
2151C2×D4—434no—
2152C2×D4—434no—
2153C2×D4—434no—
2154C2×D4—432no—
2155C2×D4—432no—
2156C2×D4—431no—
2157C2×D4—432no—
2158C2×D4—432no—
2159C2×D4—1724no—
2160C2×D4C23×D4314yes—
2161C2×D4C23×D4312yes—
2162C2×D4C23×D4311yescharacteristic
2163C2×D4C23×D4312yes—
2164C2×D4C23×D4312yes—
2165C2×D4C23×D4311yescharacteristic
2166C2×D4C23×D4311yescharacteristic
2167C2×D4C23×D4312yes—
2168C2×D4C23×D4314yes—
2169C2×D4C23×D4314yes—
2170C2×D4C23×D4314yes—
2171C2×D4C23×D4314yes—
2172C2×D4C23×D4312yes—
2173C2×D4C23×D4314yes—
2174C22×C4—44no—
2175C22×C4—431no—
2176C22×C4—432no—
2177C22×C4—431no—
2178C22×C4—431no—
2179C22×C4—432no—
2180C22×C4—432no—
2181C22×C4—432no—
2182C22×C4—434no—
2183C22×C4—434no—
2184C22×C4—434no—
2185C22×C4—434no—
2186C22×C4—434no—
2187C22×C4—434no—
2188C22×C4—434no—
2189C22×C4—431no—
2190C22×C4—431no—
2191C22×C4—431no—
2192C22×C4—431no—
2193C22×C4—432no—
2194C22×C4—431no—
2195C22×C4—431no—
2196C22×C4—431no—
2197C22×C4—431no—
2198C22×C4—431no—
2199C22×C4—431no—
2200C22×C4—431no—
2201C22×C4—431no—
2202C22×C4—432no—
2203C22×C4—432no—
2204C22×C4—434no—
2205C22×C4—434no—
2206C22×C4—1722no—
2207C22×C4—1722no—
2208C22×C4—1722no—
2209C22×C4C23×D4311yescharacteristic
2210C22×C4C23×D4311yescharacteristic
2211C22×C4C23×D4311yescharacteristic
2212C22×C4C23×D4312yes—
2213C22×C4C23×D4312yes—
2214C22×C4C23×D4312yes—
2215C22×C4C23×D4314yes—
2216C22×C4C23×D4312yes—
2217C22×C4C23×D4312yes—
2218C22×C4C23×D4314yes—
2219C22×C4C23×D4314yes—
2220C22×C4C23×D4312yes—
2221C4⋊C4—432no—
2222C4⋊C4—432no—
2223C4⋊C4—432no—
2224C4⋊C4—432no—
2225C4⋊C4—431no—
2226C4⋊C4—432no—
2227C4⋊C4—432no—
2228C4⋊C4—432no—
2229C4⋊C4—431no—
2230C4⋊C4—432no—
2231C4⋊C4—432no—
2232C4⋊C4—434no—
2233C4⋊C4—434no—
2234C4⋊C4—434no—
2235C4⋊C4—434no—
2236C4⋊C4—432no—
2237C4⋊C4—432no—
2238C4⋊C4—432no—
2239C4⋊C4—432no—
2240C4⋊C4—434no—
2241C4⋊C4—434no—
2242C4⋊C4—434no—
2243C4⋊C4—431no—
2244C4⋊C4—432no—
2245C4⋊C4—432no—
2246C4⋊C4—432no—
2247C4⋊C4—432no—
2248C4⋊C4—432no—
2249C4⋊C4—432no—
2250C4⋊C4—432no—
2251C4⋊C4—434no—
2252C4⋊C4—434no—
2253C4⋊C4—434no—
2254C4⋊C4—434no—
2255C4⋊C4—434no—
2256C4⋊C4—432no—
2257C4⋊C4—432no—
2258C4⋊C4—432no—
2259C4⋊C4—431no—
2260C4⋊C4—432no—
2261C4⋊C4—432no—
2262C4⋊C4—434no—
2263C4⋊C4—434no—
2264C4⋊C4—434no—
2265C4⋊C4—432no—
2266C4⋊C4—432no—
2267C4⋊C4—432no—
2268C4⋊C4—434no—
2269C4⋊C4—434no—
2270C4⋊C4—432no—
2271C4⋊C4—434no—
2272C4⋊C4—432no—
2273C4⋊C4—432no—
2274C4⋊C4—432no—
2275C4⋊C4—432no—
2276C4⋊C4—434no—
2277C4⋊C4—434no—
2278C4⋊C4—434no—
2279C4⋊C4—434no—
2280C4⋊C4C23×D4311yescharacteristic
2281C4⋊C4C23×D4314yes—
2282C4⋊C4C23×D4312yes—
2283C4⋊C4C23×D4314yes—
2284C4⋊C4C23×D4311yescharacteristic
2285C4⋊C4C23×D4312yes—
2286C4⋊C4C23×D4311yescharacteristic
2287C4⋊C4C23×D4312yes—
2288C4⋊C4C23×D4311yescharacteristic
2289C4⋊C4C23×D4312yes—
2290C4⋊C4C23×D4312yes—
2291C4⋊C4C23×D4312yes—
2292C4⋊C4C23×D4312yes—
2293C22⋊C4—432no—
2294C22⋊C4—432no—
2295C22⋊C4—432no—
2296C22⋊C4—432no—
2297C22⋊C4—432no—
2298C22⋊C4—432no—
2299C22⋊C4—432no—
2300C22⋊C4—434no—
2301C22⋊C4—434no—
2302C22⋊C4—434no—
2303C22⋊C4—432no—
2304C22⋊C4—432no—
2305C22⋊C4—434no—
2306C22⋊C4—434no—
2307C22⋊C4—434no—
2308C22⋊C4—432no—
2309C22⋊C4—432no—
2310C22⋊C4—432no—
2311C22⋊C4—432no—
2312C22⋊C4—432no—
2313C22⋊C4—432no—
2314C22⋊C4—434no—
2315C22⋊C4—434no—
2316C22⋊C4—434no—
2317C22⋊C4—434no—
2318C22⋊C4—434no—
2319C22⋊C4—434no—
2320C22⋊C4—434no—
2321C22⋊C4—434no—
2322C22⋊C4—434no—
2323C22⋊C4—434no—
2324C22⋊C4—432no—
2325C22⋊C4—432no—
2326C22⋊C4—432no—
2327C22⋊C4—432no—
2328C22⋊C4—432no—
2329C22⋊C4—432no—
2330C22⋊C4—432no—
2331C22⋊C4—432no—
2332C22⋊C4—432no—
2333C22⋊C4—432no—
2334C22⋊C4—432no—
2335C22⋊C4—434no—
2336C22⋊C4—434no—
2337C22⋊C4—432no—
2338C22⋊C4—432no—
2339C22⋊C4—432no—
2340C22⋊C4—434no—
2341C22⋊C4—434no—
2342C22⋊C4C23×D4312yes—
2343C22⋊C4C23×D4312yes—
2344C22⋊C4C23×D4312yes—
2345C22⋊C4C23×D4314yes—
2346C22⋊C4C23×D4312yes—
2347C22⋊C4C23×D4314yes—
2348C22⋊C4C23×D4314yes—
2349C22⋊C4C23×D4312yes—
2350C22⋊C4C23×D4314yes—
2351C22⋊C4C23×D4312yes—
2352C22⋊C4C23×D4312yes—
2353C22⋊C4C23×D4314yes—
2354C22⋊C4C23×D4312yes—
2355C22⋊C4C23×D4312yes—
2356C22⋊C4C23×D4314yes—
2357C22⋊C4C23×D4314yes—
2358C42—431no—
2359C42—431no—
2360C42—431no—
2361C42—431no—
2362C42—431no—
2363C42—431no—
2364C42—431no—
2365C42—431no—
2366C42—431no—
2367C42—431no—
2368C42—431no—
2369C42—431no—
2370C42—432no—
2371C42—432no—
2372C42—432no—
2373C42—434no—
2374C42—434no—
2375C42—434no—
2376C42—432no—
2377C42—432no—
2378C42—432no—
2379C42—432no—
2380C42—432no—
2381C42—432no—
2382C42—434no—
2383C42—434no—
2384C42—434no—
2385C42—434no—
2386C42—434no—
2387C42C23×D4311yescharacteristic
2388C42C23×D4311yescharacteristic
2389C42C23×D4311yescharacteristic
2390C42C23×D4311yescharacteristic
2391C42C23×D4312yes—
2392C42C23×D4314yes—
2393C23—24no—
2394C23—42no—
2395C23—42no—
2396C23—44no—
2397C23—44no—
2398C23—44no—
2399C23—431no—
2400C23—431no—
2401C23—432no—
2402C23—862no—
2403C23—1721no—
2404C23—1721no—
2405C23C24×D4312yes—
2406C23C24×D4312yes—
2407C23C24×D4312yes—
2408C23C24×D4314yes—
2409C23C24×D4311yescharacteristic
2410Q8—22no—
2411Q8—42no—
2412Q8—862no—
2413Q8—864no—
2414Q8—862no—
2415Q8—864no—
2416Q8—862no—
2417Q8—1724no—
2418Q8—1722no—
2419Q8—1724no—
2420Q8—1722no—
2421Q8—1724no—
2422Q8—1722no—
2423D4—24no—
2424D4—28no—
2425D4—22no—
2426D4—24no—
2427D4—22no—
2428D4—22no—
2429D4—24no—
2430D4—44no—
2431D4—44no—
2432D4—44no—
2433D4—42no—
2434D4—44no—
2435D4—42no—
2436D4—44no—
2437D4—864no—
2438D4—862no—
2439D4—1722no—
2440D4—1722no—
2441D4—1722no—
2442D4—1722no—
2443D4—1722no—
2444D4—1722no—
2445D4—1722no—
2446D4—1724no—
2447D4—1724no—
2448D4—1724no—
2449D4—1722no—
2450D4—1722no—
2451D4—1722no—
2452D4—1724no—
2453D4—1724no—
2454D4—1724no—
2455C2×C4—22no—
2456C2×C4—22no—
2457C2×C4—24no—
2458C2×C4—24no—
2459C2×C4—22no—
2460C2×C4—24no—
2461C2×C4—42no—
2462C2×C4—42no—
2463C2×C4—42no—
2464C2×C4—44no—
2465C2×C4—44no—
2466C2×C4—44no—
2467C2×C4—431no—
2468C2×C4—431no—
2469C2×C4—431no—
2470C2×C4—431no—
2471C2×C4—432no—
2472C2×C4—432no—
2473C2×C4—432no—
2474C2×C4—432no—
2475C2×C4—431no—
2476C2×C4—434no—
2477C2×C4—431no—
2478C2×C4—432no—
2479C2×C4—434no—
2480C2×C4—432no—
2481C2×C4—432no—
2482C2×C4—862no—
2483C2×C4—864no—
2484C2×C4—862no—
2485C2×C4—862no—
2486C2×C4—862no—
2487C2×C4—862no—
2488C2×C4—864no—
2489C2×C4—1721no—
2490C2×C4—1721no—
2491C2×C4—1721no—
2492C2×C4—1721no—
2493C2×C4—1721no—
2494C2×C4—1721no—
2495C2×C4—1721no—
2496C2×C4—1721no—
2497C2×C4—1724no—
2498C2×C4—1722no—
2499C2×C4—1724no—
2500C2×C4—1722no—
2501C2×C4—1721no—
2502C2×C4—1721no—
2503C2×C4—1724no—
2504C2×C4—1722no—
2505C2×C4—1724no—
2506C2×C4—1722no—
2507C2×C4—1724no—
2508C2×C4—1722no—
2509C2×C4—1724no—
2510C2×C4—1724no—
2511C2×C4—1724no—
2512C2×C4—1724no—
2513C2×C4C24×D4311yescharacteristic
2514C2×C4C24×D4311yescharacteristic
2515C2×C4C24×D4312yes—
2516C2×C4C24×D4314yes—
2517C2×C4C24×D4312yes—
2518C2×C4C24×D4312yes—
2519C2×C4C24×D4311yescharacteristic
2520C2×C4C24×D4311yescharacteristic
2521C2×C4C24×D4312yes—
2522C2×C4C24×D4312yes—
2523C2×C4C24×D4311yescharacteristic
2524C2×C4C24×D4311yescharacteristic
2525C22—21no—
2526C22—21no—
2527C22—22no—
2528C22—22no—
2529C22—22no—
2530C22—24no—
2531C22—24no—
2532C22—22no—
2533C22—22no—
2534C22—22no—
2535C22—22no—
2536C22—22no—
2537C22—24no—
2538C22—22no—
2539C22—84no—
2540C22—164no—
2541C22—861no—
2542C22—861no—
2543C22—862no—
2544C22—862no—
2545C22—861no—
2546C22—861no—
2547C22—861no—
2548C22—861no—
2549C22—862no—
2550C22—1724no—
2551C22#1458373412yes—
2552C22C25×D4311yescharacteristic
2553C4—21no—
2554C4—21no—
2555C4—22no—
2556C4—22no—
2557C4—21no—
2558C4—22no—
2559C4—24no—
2560C4—22no—
2561C4—21no—
2562C4—22no—
2563C4—861no—
2564C4—861no—
2565C4—861no—
2566C4—862no—
2567C4—861no—
2568C4—862no—
2569C4—862no—
2570C4—864no—
2571C4—862no—
2572C4—861no—
2573C4—862no—
2574C4—861no—
2575C4—862no—
2576C4—864no—
2577C4—862no—
2578C4#1458373412yes—
2579C4#1458373512yes—
2580C2—22no—
2581C2—42no—
2582C2—42no—
2583C2—42no—
2584C2—44no—
2585C2—1721no—
2586C2—1721no—
2587C2—1722no—
2588C2C2×#1458373411yescharacteristic
2589C2C2×#1458373411yescharacteristic
2590C2C2×#1458373511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3519C2
hypercenter#3519D43
hypocenterC43#62827
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3519

Complements

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

NH ≅ G/Ntype
1. #19149262C2semidirect
2. #19149250C2semidirect
3. #19149230C2semidirect
4. #19149173C2semidirect
5. #19149086C2semidirect
6. #19149062C2semidirect
7. #19148987C2semidirect
8. #19148963C2semidirect
9. #19148916C2semidirect
10. #19148882C2semidirect
11. #19148754C2semidirect
12. #19148703C2semidirect
13. #19148698C2semidirect
14. #19148689C2semidirect
15. #19148672C2semidirect
16. #19148652C2semidirect
17. #19148651C2semidirect
18. #19148648C2semidirect
19. #19148644C2semidirect
20. #19148611C2semidirect
21. #19148596C2semidirect
22. #19148576C2semidirect
23. #19148566C2semidirect
24. #19148547C2semidirect
25. #19148547C2semidirect
26. #19148514C2semidirect
27. #19148486C2semidirect
28. #19148438C2semidirect
29. #19148429C2semidirect
30. #19148349C2semidirect
31. #19148324C2semidirect
32. #19147890C2semidirect
33. #19147889C2semidirect
34. C2×#14583431C2semidirect
35. C43×#3519C2semidirect
36. #14583651C22semidirect
37. #14583650C22semidirect
38. #14583646C22semidirect
39. #14583644C22semidirect
40. #14583644C22semidirect
41. #14583643C22semidirect
42. #14583638C22semidirect
43. #14583638C22semidirect
44. #14583635C22semidirect
45. #14583635C22semidirect
46. #14583633C22semidirect
47. #14583632C22semidirect
48. #14583632C22semidirect
49. #14583632C22semidirect
50. #14583629C22semidirect
51. #14583628C22semidirect
52. #14583627C22semidirect
53. #14583626C22semidirect
54. #14583626C22semidirect
55. #14583620C22semidirect
56. #14583619C22semidirect
57. #14583619C22semidirect
58. #14583619C22semidirect
59. #14583619C22semidirect
60. #14583619C22semidirect
61. #14583618C22semidirect
62. #14583618C22semidirect
63. #14583617C22semidirect
64. #14583617C22semidirect
65. #14583613C22semidirect
66. #14583613C22semidirect
67. #14583613C22semidirect
68. #14583613C22semidirect
69. #14583612C22semidirect
70. #14583610C22semidirect
71. #14583608C22semidirect
72. #14583608C22semidirect
73. #14583606C22semidirect
74. #14583604C22semidirect
75. #14583601C22semidirect
76. #14583601C22semidirect
77. #14583601C22semidirect
78. #14583601C22semidirect
80. #14583598C22semidirect
81. #14583596C22semidirect
82. #14583596C22semidirect
83. #14583596C22semidirect
84. #14583594C22semidirect
85. #14583594C22semidirect
86. #14583592C22semidirect
87. #14583592C22semidirect
88. #14583592C22semidirect
89. #14583589C22semidirect
90. #14583589C22semidirect
91. #14583589C22semidirect
92. #14583589C22semidirect
93. #14583588C22semidirect
94. #14583587C22semidirect
95. #14583586C22semidirect
96. #14583586C22semidirect
97. #14583586C22semidirect
98. #14583586C22semidirect
99. #14583586C22semidirect
100. #14583585C22semidirect
101. #14583584C22semidirect
102. #14583584C22semidirect
103. #14583583C22semidirect
104. #14583580C22semidirect
105. #14583580C22semidirect
106. #14583580C22semidirect
107. #14583580C22semidirect
108. #14583575C22semidirect
109. #14583575C22semidirect
110. #14583575C22semidirect
111. #14583575C22semidirect
112. #14583575C22semidirect
113. #14583575C22semidirect
114. #14583575C22semidirect
115. #14583569C22semidirect
116. #14583569C22semidirect
117. #14583568C22semidirect
118. #14583567C22semidirect
119. D4×Dic86C22semidirect
120. D4×Dic86C22semidirect
121. D4×Dic86C22semidirect
122. #14583558C22semidirect
123. #14583555C22semidirect
124. #14583555C22semidirect
125. #14583555C22semidirect
126. #14583555C22semidirect
127. #14583555C22semidirect
128. #14583554C22semidirect
129. #14583553C22semidirect
130. #14583553C22semidirect
131. #14583551C22semidirect
132. #14583549C22semidirect
133. #14583549C22semidirect
134. #14583548C22semidirect
135. #14583548C22semidirect
138. #14583543C22semidirect
139. #14583543C22semidirect
140. #14583543C22semidirect
141. #14583543C22semidirect
142. #14583543C22semidirect
143. #14583530C22semidirect
144. #14583527C22semidirect
145. #14583518C22semidirect
146. #14583517C22semidirect
147. #14583516C22semidirect
148. #14583516C22semidirect
149. #14583516C22semidirect
150. #14583516C22semidirect
151. #14583516C22semidirect
152. #14583515C22semidirect
154. #14583514C22semidirect
155. #14583514C22semidirect
156. #14583514C22semidirect
157. #14583513C22semidirect
158. #14583513C22semidirect
159. #14583512C22semidirect
160. #14583511C22semidirect
161. #14583509C22semidirect
162. #14583509C22semidirect
163. #14583509C22semidirect
164. #14583506C22semidirect
165. #14583506C22semidirect
166. #14583503C22semidirect
167. #14583502C22semidirect
168. #14583502C22semidirect
169. #14583502C22semidirect
170. #14583499C22semidirect
171. #14583499C22semidirect
172. #14583495C22semidirect
173. #14583494C22semidirect
174. #14583494C22semidirect
175. #14583493C22semidirect
176. #14583492C22semidirect
177. #14583491C22semidirect
178. #14583491C22semidirect
179. #14583487C22semidirect
180. #14583486C22semidirect
181. #14583484C22semidirect
182. #14583484C22semidirect
183. #14583484C22semidirect
184. #14583484C22semidirect
185. #14583484C22semidirect
186. #14583482C22semidirect
187. #14583478C22semidirect
188. #14583478C22semidirect
189. #14583475C22semidirect
190. #14583470C22semidirect
192. #14583466C22semidirect
193. #14583464C22semidirect
194. #14583458C22semidirect
195. #14583456C22semidirect
196. #14583455C22semidirect
197. #14583454C22semidirect
198. #14583454C22semidirect
199. #14583453C22semidirect
200. #14583452C22semidirect
201. #14583451C22semidirect
202. #14583451C22semidirect
203. #14583448C22semidirect
204. #14583447C22semidirect
205. #14583447C22semidirect
206. #14583447C22semidirect
207. #14583446C22semidirect
209. #14583444C22semidirect
210. #14583434C22semidirect
211. #14583433C22semidirect
212. #14583432C22semidirect
213. #14583432C22semidirect
218. #14583431C22semidirect
219. #14583431C22semidirect
220. #14583431C22semidirect
221. #14583431C22semidirect
222. #14583431C22semidirect
223. #14583431C22semidirect
224. #14583431C22semidirect
225. #14583431C22semidirect
226. #14583431C22semidirect
227. #14583431C22semidirect
228. #14583431C22semidirect
229. #14583431C22semidirect
231. #14583430C22semidirect
232. #14583430C22semidirect
233. #14583430C22semidirect
234. #14583430C22semidirect
235. #14583430C22semidirect
236. #14583430C22semidirect
237. #14583429C22semidirect
238. #14583428C22semidirect
239. #14583428C22semidirect
240. #14583428C22semidirect
241. #14583427C22semidirect
242. #14583426C22semidirect
243. #14583426C22semidirect
244. C2×#13063318C22semidirect
245. C2×#13063318C22semidirect
246. C2×#13063316C22semidirect
247. #125×D43C22semidirect
249. C2×#13063312C22semidirect
250. #14583412C22semidirect
251. #14583410C22semidirect
253. #14583409C22semidirect
254. #14583409C22semidirect
255. #14583408C22semidirect
256. #14583407C22semidirect
257. #14583406C22semidirect
258. C2×#13063307C22semidirect
259. C2×#13063305C22semidirect
260. C2×#13063304C22semidirect
262. #14583382C22semidirect
263. #14583380C22semidirect
264. #14583378C22semidirect
265. #14583378C22semidirect
266. #14583378C22semidirect
267. #14583376C22semidirect
268. #14583376C22semidirect
269. #14583374C22semidirect
270. #14583374C22semidirect
271. #41×Dic43C22semidirect
272. C4×#10621902C22semidirect
273. #14583367C22semidirect
274. C4×#10621900C22semidirect
275. C4×#10621900C22semidirect
276. C4×#10621900C22semidirect
277. C4×#10621900C22semidirect
278. C2×C4×Dic86C22semidirect
279. C2×C4×C22⋊D43C22semidirect
280. C2×#13063284C22semidirect
281. C2×C42×D43C22semidirect
282. C43×#555C22semidirect
283. C43×#554C22semidirect
285. C43×#553C22semidirect
286. C43×#550C22semidirect
288. C43×#546C22semidirect
290. D42×C43C22semidirect
291. C43×#540C22semidirect
292. C43×#538C22semidirect
297. C43×#518C22semidirect
1304. #3519D43semidirect
1365. #555C2×D43semidirect
1371. #554C2×D43semidirect
1387. #553C2×D43semidirect
1418. #550C2×D43semidirect
1444. #546C2×D43semidirect
1446. D42C2×D43semidirect
1476. #540C2×D43semidirect
1492. #538C2×D43semidirect
1581. #518C2×D43semidirect
1594. C43#62827semidirect

Maximal subgroups

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

subgroupindex
#191492622
#191492502
#191492302
#191491732
#191490862
#191490622
#191489872
#191489632
#191489162
#191488822
#191487542
#191487032
#191486982
#191486892
#191486722
#191486522
#191486512
#191486482
#191486442
#191486112
#191485962
#191485762
#191485662
#191485472
#191485142
#191484862
#191484382
#191484292
#191483492
#191483242
#191478902
#191478892
C2×#145834312
C43×#35192
#6282743