Finite Group Databasebeta

← #26005394

Subgroups — #26005394

Order 11008.

6636 conjugacy classes of subgroups.

The subgroup lattice has 2348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149292C212yesmaximal, complemented
2#19149282C212yesmaximal, complemented
3#19149270C214yesmaximal, complemented
4#19149246C212yesmaximal, complemented
5#19149205C211yesmaximal, characteristic, complemented
6#19149171C212yesmaximal, complemented
7#19149126C211yesmaximal, characteristic, complemented
8#19149114C211yesmaximal, characteristic, complemented
9#19149046C212yesmaximal, complemented
10#19148945C212yesmaximal, complemented
11#19148809C212yesmaximal, complemented
12#19148786C212yesmaximal, complemented
13#19148697C212yesmaximal, complemented
14#19148662C212yesmaximal, complemented
15#19148661C214yesmaximal, complemented
16#19148656C214yesmaximal, complemented
17#19148645C212yesmaximal, complemented
18#19148624C212yesmaximal, complemented
19#19148589C212yesmaximal, complemented
20#19148536C212yesmaximal, complemented
21#19148522C214yesmaximal, complemented
22#19148450C212yesmaximal, complemented
23#19148431C212yesmaximal, complemented
24#19148344C212yesmaximal, complemented
25#19148328C212yesmaximal, complemented
26#19148310C212yesmaximal, complemented
27#19148294C212yesmaximal, complemented
28#19147892C211yesmaximal, characteristic, complemented
29C2×#14583428C211yesmaximal, characteristic, complemented
30#529×D43C211yesmaximal, characteristic, complemented
31C43×#3561C211yesmaximal, characteristic, complemented
32C43⋊#564C2212yescomplemented
33#14583653C2212yescomplemented
34#14583653C2212yescomplemented
35#14583650C2214yescomplemented
36#14583645C2214yescomplemented
37#14583643C2212yescomplemented
38#14583643C2212yescomplemented
39#14583643C2214yescomplemented
40#14583641C2212yescomplemented
41#14583639C2214yescomplemented
42#14583631C2212yescomplemented
43#14583631C2212yescomplemented
44#14583631C2214yescomplemented
45#14583625C2212yescomplemented
46#14583625C2212yescomplemented
47#14583623C2212yescomplemented
48#14583623C2214yescomplemented
49#14583622C2212yescomplemented
50#14583620C2214yescomplemented
51#14583618C2214yescomplemented
52#14583616C2214yescomplemented
53#14583616C2214yescomplemented
54#14583613C2214yescomplemented
55#14583613C2212yescomplemented
56#14583611C2214yescomplemented
57#14583610C2214yescomplemented
58#14583609C2212yescomplemented
59#14583607C2214yescomplemented
60#14583607C2212yescomplemented
61#14583607C2214yescomplemented
62#14583606C2212yescomplemented
63#14583601C2214yescomplemented
64#14583601C2212yescomplemented
65#14583600C2214yescomplemented
66#14583600C2214yescomplemented
67#14583599C2212yescomplemented
68#14583598C2214yescomplemented
69#14583595C2212yescomplemented
70#14583595C2214yescomplemented
71#14583595C2212yescomplemented
72#14583595C2214yescomplemented
73#14583594C2214yescomplemented
74#14583594C2214yescomplemented
75#14583594C2214yescomplemented
76#14583592C2214yescomplemented
77#14583591C2214yescomplemented
78#14583591C2214yescomplemented
79#14583591C2214yescomplemented
80#14583591C2214yescomplemented
81#14583591C2212yescomplemented
82#14583591C2212yescomplemented
83#14583590C2212yescomplemented
84#14583588C2214yescomplemented
85#14583586C2214yescomplemented
86#14583586C2214yescomplemented
87#14583585C2214yescomplemented
88#14583583C2214yescomplemented
89#14583583C2214yescomplemented
90#14583583C2212yescomplemented
91#14583582C2214yescomplemented
92#14583579C2214yescomplemented
93#14583576C2214yescomplemented
94#14583576C2214yescomplemented
95#14583576C2214yescomplemented
96#14583576C2214yescomplemented
97#14583576C2214yescomplemented
98#14583576C2214yescomplemented
99#14583575C2214yescomplemented
100#14583574C2214yescomplemented
101#14583573C2214yescomplemented
102#14583572C2214yescomplemented
103#14583572C2214yescomplemented
104#14583572C2214yescomplemented
105#14583568C2212yescomplemented
106#14583560C2212yescomplemented
107#14583560C2212yescomplemented
108#14583560C2212yescomplemented
109#14583553C2212yescomplemented
110#14583552C2212yescomplemented
111#14583551C2214yescomplemented
112#14583547C2214yescomplemented
113#14583546C2214yescomplemented
114#14583544C2214yescomplemented
115#14583542C2214yescomplemented
116#14583542C2212yescomplemented
117#14583542C2212yescomplemented
118#14583541C2214yescomplemented
119#14583539C2214yescomplemented
120#14583539C2214yescomplemented
121#14583537C2212yescomplemented
122#14583536C2214yescomplemented
123D4×C22⋊D43C2212yescomplemented
124#14583531C2214yescomplemented
125#14583528C2212yescomplemented
126#14583527C2212yescomplemented
127#14583526C2212yescomplemented
128#14583523C2214yescomplemented
129#14583522C2214yescomplemented
130#14583522C2212yescomplemented
131#14583522C2214yescomplemented
132#14583518C2212yescomplemented
133#14583518C2212yescomplemented
134#14583517C2214yescomplemented
135#14583515C2214yescomplemented
136#14583510C2212yescomplemented
137#14583510C2214yescomplemented
138#14583510C2212yescomplemented
139#14583507C2214yescomplemented
140#14583506C2214yescomplemented
141#14583504C2212yescomplemented
142#14583502C2212yescomplemented
143#14583502C2214yescomplemented
144#14583501C2214yescomplemented
145#14583499C2214yescomplemented
146#14583498C2212yes—
147#14583498C2212yescomplemented
148#14583498C2214yescomplemented
149#14583498C2214yescomplemented
150#14583495C2214yescomplemented
151#14583495C2214yescomplemented
152#14583495C2214yescomplemented
153#14583493C2214yescomplemented
154#14583493C2214yescomplemented
155#14583490C2214yescomplemented
156#14583490C2214yescomplemented
157#14583490C2214yescomplemented
158#14583489C2214yescomplemented
159#14583488C2214yescomplemented
160#14583487C2212yescomplemented
161#14583486C2214yescomplemented
162#14583485C2214yescomplemented
163#14583485C2214yescomplemented
164#14583484C2214yescomplemented
165#14583483C2214yescomplemented
166#14583483C2214yescomplemented
167#14583476C2212yescomplemented
168#14583472C2214yescomplemented
169#14583467C2212yescomplemented
170#14583461C2212yes—
171#14583457C2214yescomplemented
172#14583454C2211yescharacteristic, complemented
173#14583454C2212yescomplemented
174#14583454C2211yescharacteristic, complemented
175#14583450C2211yescharacteristic, complemented
176#14583450C2211yescharacteristic, complemented
177#14583449C2211yescharacteristic, complemented
178#14583446C2212yes—
179#14583436C2212yescomplemented
180#14583436C2211yescharacteristic, complemented
181#14583436C2212yescomplemented
182#14583436C2212yescomplemented
183#14583435C2211yescharacteristic
184#14583435C2212yescomplemented
185#14583435C2214yescomplemented
186#14583435C2212yescomplemented
187#14583434C2211yescharacteristic, complemented
188#14583434C2212yescomplemented
189#14583434C2212yescomplemented
190#14583433C2211yescharacteristic
191#14583432C2212yescomplemented
192#14583431C2211yescharacteristic, complemented
193#14583431C2214yescomplemented
194#14583430C2211yescharacteristic, complemented
195#14583429C2214yescomplemented
196#14583429C2212yescomplemented
197#14583428C2212yescomplemented
198#14583428C2212yescomplemented
199#14583428C2211yescharacteristic, complemented
200#14583428C2212yescomplemented
201#14583428C2212yescomplemented
202#14583428C2212yescomplemented
203#14583428C2212yescomplemented
204#14583428C2212yescomplemented
205#14583428C2212yescomplemented
206#14583428C2212yescomplemented
207#14583428C2214yescomplemented
208#14583427C2212yescomplemented
209#14583427C2214yescomplemented
210#14583426C2212yescomplemented
211C2×#13063318C2212yescomplemented
212#126×D43C2212yescomplemented
213#126×D43C2214yescomplemented
214C2×#13063317C2211yescharacteristic, complemented
215#125×D43C2211yescharacteristic, complemented
216#124×D43C2211yescharacteristic, complemented
217#14583412C2212yescomplemented
218#14583412C2212yescomplemented
219#14583412C2212yescomplemented
220#14583411C2212yescomplemented
221#14583406C2212yes—
222#14583405C2214yescomplemented
223C2×#13063309C2214yescomplemented
224C2×#13063307C2212yescomplemented
225#123×D43C2212yescomplemented
226C2×#13063301C2212yescomplemented
227C2×#13063301C2211yescharacteristic, complemented
228C22⋊Q8×D43C2211yescharacteristic, complemented
229C2×#13063296C2211yescharacteristic
230#121×D43C2211yescharacteristic
231#121×D43C2212yescomplemented
232#14583382C2212yescomplemented
233#14583381C2212yescomplemented
234#14583379C2214yescomplemented
235#14583378C2214yescomplemented
236#14583377C2212yescomplemented
237#14583372C2214yescomplemented
238#14583371C2212yescomplemented
239#14583371C2214yescomplemented
240C4×#10621902C2212yescomplemented
241C4×#10621902C2212yescomplemented
242#14583367C2212yescomplemented
243C2×Q8×Dic43C2211yescharacteristic, complemented
244C4×Q8×D43C2211yescharacteristic, complemented
245C2×D4×Dic43C2211yescharacteristic, complemented
246C2×(C22⋊D43)⋊C4C2212yescomplemented
247C4×D4×D43C2212yescomplemented
248C4×D4×D43C2211yescharacteristic, complemented
249C2×#13063281C2212yescomplemented
250#117×D43C2212yescomplemented
251C2×C42×D43C2211yescharacteristic, complemented
252C43×#563C2212yescomplemented
253C43×#562C2212yescomplemented
254C43×#556C2212yescomplemented
255C43×#551C2214yescomplemented
256D4×Q8×C43C2212yescomplemented
257C43×#548C2212yescomplemented
258C43×#546C2212yescomplemented
259C43×#543C2212yescomplemented
260C43×#542C2212yescomplemented
261C43×#542C2214yescomplemented
262C43×#538C2212yescomplemented
263C43×#536C2212yescomplemented
264C43×#533C2211yescharacteristic, complemented
265C43×#529C2211yescharacteristic, complemented
266C2×#124×C43C2211yescharacteristic, complemented
267C2×#10621902C2312yes—
268C2×#10621902C2312yes—
269C2×#10621902C2312yes—
270C2×#10621898C2312yes—
271C2×#10621898C2314yes—
272C2×#10621900C2314yes—
273C2×Q8×D43C2311yescharacteristic
274C22×C22⋊D43C2312yes—
275C22×C22⋊D43C2314yes—
276C2×D4×D43C2312yes—
277C2×D4×D43C2311yescharacteristic
278C2×D4×D43C2314yes—
279C2×D4×D43C2312yes—
280C23×Dic43C2312yes—
281C22×C4×D43C2311yescharacteristic
282C22×C4×D43C2311yescharacteristic
283C22×C4×D43C2311yescharacteristic
284C22×C4×D43C2312yes—
285#13063325C2312yes—
286#13063325C2311yescharacteristic
287#13063324C2312yes—
288#13063324C2314yes—
289#13063324C2314yes—
290#13063324C2314yes—
291#13063323C2314yes—
292#13063322C2311yescharacteristic
293#13063321C2312yes—
294#13063321C2314yes—
295#13063320C2312yes—
296#13063320C2314yes—
297#13063320C2314yes—
298#13063320C2314yes—
299#13063320C2314yes—
300#13063320C2314yes—
301#13063320C2312yes—
302#13063320C2314yes—
303#13063320C2314yes—
304#13063320C2314yes—
305#13063320C2314yes—
306#13063320C2314yes—
307#13063320C2314yes—
308#13063320C2314yes—
309#13063320C2314yes—
310#13063320C2314yes—
311#13063320C2314yes—
312#13063320C2312yes—
313#13063320C2314yes—
314#13063319C2314yes—
315#13063319C2312yes—
316#13063318C2314yes—
317#13063318C2314yes—
318#13063318C2314yes—
319#13063318C2314yes—
320#13063318C2314yes—
321#13063318C2312yes—
322#13063318C2314yes—
323#13063318C2314yes—
324#13063318C2314yes—
325#13063318C2312yes—
326#13063318C2314yes—
327#13063318C2312yes—
328#13063318C2314yes—
329#13063317C2314yes—
330#13063317C2314yes—
331#13063317C2312yes—
332#13063317C2312yes—
333#13063317C2311yescharacteristic
334#13063317C2312yes—
335#13063317C2312yes—
336#13063317C2312yes—
337#13063316C2314yes—
338#13063316C2314yes—
339#13063316C2312yes—
340#13063316C2311yescharacteristic
341#13063316C2312yes—
342#13063316C2314yes—
343#13063316C2311yescharacteristic
344#13063316C2314yes—
345#13063316C2312yes—
346#13063316C2314yes—
347#13063316C2314yes—
348#13063315C2314yes—
349#13063315C2314yes—
350#13063315C2314yes—
351#13063315C2314yes—
352#13063315C2314yes—
353#13063315C2314yes—
354#13063315C2314yes—
355#13063315C2314yes—
356#13063315C2312yes—
357#13063315C2312yes—
358#13063314C2312yes—
359#13063314C2314yes—
360#13063314C2314yes—
361#13063314C2314yes—
362#13063314C2312yes—
363#13063314C2311yescharacteristic
364#13063314C2312yes—
365#13063313C2314yes—
366#13063313C2311yescharacteristic
367#13063313C2312yes—
368#13063312C2311yescharacteristic
369#13063312C2314yes—
370#13063311C2314yes—
371#13063311C2314yes—
372#13063311C2314yes—
373#13063311C2314yes—
374#13063311C2314yes—
375#13063311C2314yes—
376#13063311C2314yes—
377#13063311C2312yes—
378#13063311C2312yes—
379#13063310C2314yes—
380#13063310C2314yes—
381#13063310C2312yes—
382#13063310C2314yes—
383#13063310C2314yes—
384#13063310C2314yes—
385#13063310C2314yes—
386#13063310C2314yes—
387#13063310C2312yes—
388#13063310C2314yes—
389#13063310C2314yes—
390#13063309C2314yes—
391#13063309C2314yes—
392#13063309C2314yes—
393#13063309C2314yes—
394#13063309C2314yes—
395#13063309C2314yes—
396#13063309C2314yes—
397#13063309C2314yes—
398#13063309C2314yes—
399#13063309C2314yes—
400#13063309C2312yes—
401#13063309C2314yes—
402#13063308C2314yes—
403#13063308C2314yes—
404#13063308C2312yes—
405#13063307C2314yes—
406#13063307C2314yes—
407#13063307C2314yes—
408#13063307C2314yes—
409#13063307C2314yes—
410#13063307C2314yes—
411#13063307C2314yes—
412#13063307C2314yes—
413#13063307C2314yes—
414#13063307C2314yes—
415#13063307C2314yes—
416#13063307C2312yes—
417#13063307C2314yes—
418#13063307C2312yes—
419#13063307C2314yes—
420#13063307C2314yes—
421#13063306C2314yes—
422#13063306C2312yes—
423#13063305C2314yes—
424#13063305C2312yes—
425#13063305C2314yes—
426#13063305C2314yes—
427#13063305C2314yes—
428#13063305C2314yes—
429#13063305C2311yescharacteristic
430#13063305C2312yes—
431#13063304C2314yes—
432#13063304C2311yescharacteristic
433#13063303C2314yes—
434#13063303C2314yes—
435#13063303C2314yes—
436#13063303C2312yes—
437#13063302C2314yes—
438#13063302C2314yes—
439#13063302C2314yes—
440#13063302C2314yes—
441#13063302C2312yes—
442#13063302C2314yes—
443#13063302C2314yes—
444#13063302C2314yes—
445#13063301C2312yes—
446#13063301C2312yes—
447#13063301C2314yes—
448#13063301C2314yes—
449#13063301C2314yes—
450#13063301C2312yes—
451#13063301C2312yes—
452#13063301C2312yes—
453#13063301C2314yes—
454#13063301C2314yes—
455#13063301C2314yes—
456#13063301C2314yes—
457#13063301C2312yes—
458#13063301C2311yescharacteristic
459#13063301C2312yes—
460#13063301C2312yes—
461#13063301C2312yes—
462#13063300C2314yes—
463#13063300C2312yes—
464#13063300C2312yes—
465#13063300C2311yescharacteristic
466#13063300C2312yes—
467#13063300C2312yes—
468#13063299C2312yes—
469#13063299C2312yes—
470#13063299C2312yes—
471#13063299C2314yes—
472#13063299C2314yes—
473#13063299C2314yes—
474#13063299C2314yes—
475#13063299C2311yescharacteristic
476#13063299C2312yes—
477#13063298C2314yes—
478#13063298C2314yes—
479#13063298C2314yes—
480#13063298C2314yes—
481#13063298C2314yes—
482#13063298C2314yes—
483#13063298C2314yes—
484#13063298C2314yes—
485#13063298C2314yes—
486#13063298C2312yes—
487#13063297C2314yes—
488#13063297C2314yes—
489#13063297C2314yes—
490#13063297C2314yes—
491#13063297C2312yes—
492#13063297C2314yes—
493#13063297C2314yes—
494#13063297C2314yes—
495#13063297C2314yes—
496#13063296C2314yes—
497#13063296C2312yes—
498#13063296C2312yes—
499#13063296C2314yes—
500#13063296C2312yes—
501#13063296C2311yescharacteristic
502#13063296C2312yes—
503#13063296C2312yes—
504#13063295C2314yes—
505#13063295C2314yes—
506#13063295C2314yes—
507#13063295C2314yes—
508#13063295C2314yes—
509#13063295C2314yes—
510#13063294C2314yes—
511#13063293C2314yes—
512#13063293C2314yes—
513#13063293C2314yes—
514Q8×Dic43C2312yes—
515Q8×Dic43C2312yes—
516Q8×Dic43C2312yes—
517Q8×Dic43C2312yes—
518Q8×Dic43C2312yes—
519Q8×Dic43C2314yes—
520Q8×Dic43C2311yescharacteristic
521Q8×Dic43C2314yes—
522Q8×Dic43C2312yes—
523Q8×Dic43C2312yes—
524Q8×Dic43C2312yes—
525Q8×Dic43C2312yes—
526C4×Dic86C2314yes—
527C4×Dic86C2314yes—
528C4×Dic86C2312yes—
529C4×Dic86C2314yes—
530C4×Dic86C2311yescharacteristic
531#13063290C2312yes—
532#13063290C2314yes—
533#13063290C2312yes—
534#13063290C2311yescharacteristic
535#13063290C2312yes—
536C4×D172C2312yes—
537C4×D172C2312yes—
538C4×D172C2314yes—
539C4×D172C2314yes—
540C4×D172C2311yescharacteristic
541C4×D172C2312yes—
542C4×D172C2312yes—
543C4×D172C2314yes—
544C4×D172C2314yes—
545C4×D172C2312yes—
546D4×Dic43C2312yes—
547D4×Dic43C2314yes—
548D4×Dic43C2314yes—
549D4×Dic43C2311yescharacteristic
550D4×Dic43C2314yes—
551D4×Dic43C2312yes—
552D4×Dic43C2312yes—
553D4×Dic43C2312yes—
554D4×Dic43C2312yes—
555D4×Dic43C2312yes—
556#13063287C2312yes—
557#13063287C2311yescharacteristic
558#13063287C2312yes—
559#13063287C2314yes—
560#13063287C2314yes—
561#13063287C2314yes—
562#13063287C2312yes—
563#13063287C2312yes—
564#13063287C2312yes—
565#13063287C2314yes—
566C4×C22⋊D43C2312yes—
567C4×C22⋊D43C2314yes—
568C4×C22⋊D43C2314yes—
569C4×C22⋊D43C2314yes—
570C4×C22⋊D43C2312yes—
571C4×C22⋊D43C2312yes—
572C4×C22⋊D43C2314yes—
573C4×C22⋊D43C2314yes—
574C4×C22⋊D43C2314yes—
575C4×C22⋊D43C2314yes—
576C4×C22⋊D43C2314yes—
577C4×C22⋊D43C2314yes—
578(C22⋊D43)⋊C4C2314yes—
579(C22⋊D43)⋊C4C2314yes—
580(C22⋊D43)⋊C4C2314yes—
581(C22⋊D43)⋊C4C2314yes—
582(C22⋊D43)⋊C4C2314yes—
583(C22⋊D43)⋊C4C2312yes—
584(C22⋊D43)⋊C4C2314yes—
585(C22⋊D43)⋊C4C2314yes—
586(C22⋊D43)⋊C4C2314yes—
587(C22⋊D43)⋊C4C2314yes—
588(C22⋊D43)⋊C4C2314yes—
589(C22⋊D43)⋊C4C2314yes—
590(C22⋊D43)⋊C4C2312yes—
591(C22⋊D43)⋊C4C2312yes—
592(C22⋊D43)⋊C4C2314yes—
593(C22⋊D43)⋊C4C2314yes—
594(C22⋊D43)⋊C4C2314yes—
595#13063284C2314yes—
596#13063284C2314yes—
597#13063284C2314yes—
598#13063284C2312yes—
599#13063284C2312yes—
600#13063283C2312yes—
601#13063283C2314yes—
602#13063283C2314yes—
603#13063283C2312yes—
604#13063283C2312yes—
605#13063283C2314yes—
606#13063283C2314yes—
607#13063283C2314yes—
608#13063283C2312yes—
609#13063283C2312yes—
610#13063282C2314yes—
611#13063282C2314yes—
612#13063282C2314yes—
613#13063282C2314yes—
614#13063282C2312yes—
615#13063282C2312yes—
616#13063281C2314yes—
617#13063281C2314yes—
618#13063281C2314yes—
619#13063281C2314yes—
620#13063281C2314yes—
621#13063281C2314yes—
622#13063281C2312yes—
623#13063281C2312yes—
624#13063281C2314yes—
625#13063281C2314yes—
626C2×C4⋊Dic43C2311yescharacteristic
627C2×C4⋊Dic43C2312yes—
628C2×C4⋊Dic43C2314yes—
629C2×C4⋊Dic43C2314yes—
630C2×C4⋊Dic43C2311yescharacteristic
631C2×C4⋊Dic43C2312yes—
632C2×Dic43⋊C4C2312yes—
633C2×Dic43⋊C4C2314yes—
634C2×Dic43⋊C4C2312yes—
635C2×Dic43⋊C4C2312yes—
636C4⋊C4×D43C2314yes—
637C4⋊C4×D43C2312yes—
638C4⋊C4×D43C2312yes—
639C4⋊C4×D43C2314yes—
640C4⋊C4×D43C2314yes—
641C4⋊C4×D43C2312yes—
642C4⋊C4×D43C2312yes—
643C4⋊C4×D43C2311yescharacteristic
644C4⋊C4×D43C2312yes—
645C4⋊C4×D43C2311yescharacteristic
646C2×C22⋊Dic43C2312yes—
647C2×C22⋊Dic43C2312yes—
648C2×(C2×D43)⋊C4C2314yes—
649C2×(C2×D43)⋊C4C2314yes—
650C2×(C2×D43)⋊C4C2314yes—
651C2×(C2×D43)⋊C4C2312yes—
652C22⋊C4×D43C2312yes—
653C22⋊C4×D43C2312yes—
654C22⋊C4×D43C2314yes—
655C22⋊C4×D43C2314yes—
656C22⋊C4×D43C2314yes—
657C22⋊C4×D43C2312yes—
658C22⋊C4×D43C2312yes—
659C22⋊C4×D43C2314yes—
660C22⋊C4×D43C2312yes—
661C2×C4×Dic43C2311yescharacteristic
662C2×C4×Dic43C2311yescharacteristic
663C2×C4×Dic43C2311yescharacteristic
664C2×C4×Dic43C2312yes—
665C42×D43C2311yescharacteristic
666C42×D43C2311yescharacteristic
667C42×D43C2311yescharacteristic
668C42×D43C2311yescharacteristic
669C42×D43C2311yescharacteristic
670C42×D43C2311yescharacteristic
671C42×D43C2311yescharacteristic
672C42×D43C2311yescharacteristic
673C42×D43C2312yes—
674C42×D43C2314yes—
675C2×#41×C43C2312yes—
676C22×Q8×C43C2311yescharacteristic
677C22×Q8×C43C2312yes—
678C22×D4×C43C2311yescharacteristic
679C4⋊Q8×C43C2312yes—
680C4⋊Q8×C43C2311yescharacteristic
681C4⋊Q8×C43C2311yescharacteristic
682C4⋊Q8×C43C2314yes—
683#126×C43C2314yes—
684#126×C43C2312yes—
685#126×C43C2314yes—
686#126×C43C2314yes—
687#125×C43C2311yescharacteristic
688#125×C43C2312yes—
689#124×C43C2314yes—
690#124×C43C2312yes—
691#124×C43C2312yes—
692#124×C43C2312yes—
693#124×C43C2312yes—
694#124×C43C2311yescharacteristic
695#124×C43C2312yes—
696#124×C43C2314yes—
697#123×C43C2314yes—
698#123×C43C2314yes—
699#123×C43C2314yes—
700#123×C43C2312yes—
701#123×C43C2314yes—
702C22⋊Q8×C43C2314yes—
703C22⋊Q8×C43C2314yes—
704C22⋊Q8×C43C2314yes—
705C22⋊Q8×C43C2314yes—
706C22⋊Q8×C43C2314yes—
707C22⋊Q8×C43C2314yes—
708C22⋊Q8×C43C2312yes—
709C22⋊Q8×C43C2311yescharacteristic
710C22⋊Q8×C43C2312yes—
711C22⋊Q8×C43C2312yes—
712C22⋊Q8×C43C2314yes—
713#121×C43C2311yescharacteristic
714#121×C43C2314yes—
715#121×C43C2312yes—
716#121×C43C2314yes—
717#120×C43C2314yes—
718C4×Q8×C43C2311yescharacteristic
719C4×Q8×C43C2312yes—
720C4×Q8×C43C2312yes—
721C4×Q8×C43C2312yes—
722C4×D4×C43C2312yes—
723C4×D4×C43C2311yescharacteristic
724C4×D4×C43C2314yes—
725C4×D4×C43C2314yes—
726C4×D4×C43C2312yes—
727#117×C43C2314yes—
728#117×C43C2312yes—
729#117×C43C2312yes—
730C2×C22⋊C4×C43C2314yes—
731C2×C22⋊C4×C43C2312yes—
732C2×C22⋊C4×C43C2312yes—
733C2×C42×C43C2311yescharacteristic
734C24×C43C2412yes—
735C23×D43C2411yescharacteristic
736C23×D43C2412yes—
737C23×D43C2414yes—
738#41×C43—44no—
739C2×Q8×C43—42no—
740C2×Q8×C43—44no—
741C2×Q8×C43C2412yes—
742C2×Q8×C43C2412yes—
743C2×Q8×C43C2411yescharacteristic
744C2×Q8×C43C2412yes—
745C2×Q8×C43C2414yes—
746C2×Q8×C43C2412yes—
747C2×D4×C43—42no—
748C2×D4×C43C2412yes—
749C2×D4×C43C2412yes—
750C2×D4×C43C2414yes—
751C2×D4×C43C2411yescharacteristic
752C2×D4×C43C2414yes—
753C2×D4×C43C2412yes—
754C22×C4×C43C2411yescharacteristic
755C22×C4×C43C2411yescharacteristic
756C22×C4×C43C2412yes—
757C22×C4×C43C2411yescharacteristic
758C22×C4×C43C2412yes—
759C22×C4×C43C2414yes—
760C22×C4×C43C2414yes—
761C22×C4×C43C2414yes—
762C2×C22⋊D43—44no—
763C2×C22⋊D43—48no—
764C2×C22⋊D43C2414yes—
765C2×C22⋊D43C2414yes—
766C2×C22⋊D43C2412yes—
767C2×C22⋊D43C2414yes—
768C2×C22⋊D43C2414yes—
769C2×C22⋊D43C2412yes—
770C2×C22⋊D43C2414yes—
771C2×C22⋊D43C2414yes—
772C2×C22⋊D43C2414yes—
773C2×C22⋊D43C2412yes—
774C2×C22⋊D43C2414yes—
775C2×C22⋊D43C2414yes—
776C22×Dic43—44no—
777C22×Dic43C2411yescharacteristic
778C22×Dic43C2412yes—
779C22×Dic43C2411yescharacteristic
780C22×Dic43C2411yescharacteristic
781C22×Dic43C2412yes—
782C22×Dic43C2414yes—
783C22×Dic43C2414yes—
784C22×Dic43C2414yes—
785C22×Dic43C2412yes—
786C22×Dic43C2414yes—
787#10621902—44no—
788#10621902—44no—
789#10621902—44no—
790Q8×D43—42no—
791#10621900—48no—
792D4×D43—42no—
793D4×D43—48no—
794D4×D43—44no—
795D4×D43—44no—
796#10621898—48no—
797#10621898—44no—
798C2×D172C2414yes—
799C2×D172C2412yes—
800C2×D172C2412yes—
801C2×D172C2414yes—
802C2×D172C2411yescharacteristic
803C2×D172C2412yes—
804C2×D172C2412yes—
805C2×D172C2414yes—
806C2×C4×D43—42no—
807C2×C4×D43—42no—
808C2×C4×D43—42no—
809C2×C4×D43—44no—
810C2×C4×D43C2411yescharacteristic
811C2×C4×D43C2411yescharacteristic
812C2×C4×D43C2411yescharacteristic
813C2×C4×D43C2411yescharacteristic
814C2×C4×D43C2412yes—
815C2×C4×D43C2412yes—
816C2×C4×D43C2411yescharacteristic
817C2×C4×D43C2411yescharacteristic
818C2×C4×D43C2411yescharacteristic
819C2×C4×D43C2411yescharacteristic
820C2×C4×D43C2411yescharacteristic
821C2×C4×D43C2411yescharacteristic
822C2×C4×D43C2411yescharacteristic
823C2×C4×D43C2411yescharacteristic
824C2×C4×D43C2412yes—
825C2×C4×D43C2414yes—
826C2×C4×D43C2414yes—
827C2×C4×D43C2414yes—
828C2×C4×D43C2412yes—
829C2×C4×D43C2412yes—
830C2×C4×D43C2414yes—
831C2×C4×D43C2414yes—
832C2×C4×D43C2414yes—
833C2×C4×D43C2414yes—
834C2×Dic86C2412yes—
835C2×Dic86C2414yes—
836C2×Dic86C2412yes—
837C2×Dic86C2411yescharacteristic
838C2×Dic86C2414yes—
839C4⋊C4×C43C2412yes—
840C4⋊C4×C43C2412yes—
841C4⋊C4×C43C2414yes—
842C4⋊C4×C43C2412yes—
843C4⋊C4×C43C2412yes—
844C4⋊C4×C43C2412yes—
845C4⋊C4×C43C2412yes—
846C4⋊C4×C43C2411yescharacteristic
847C4⋊C4×C43C2414yes—
848C4⋊C4×C43C2414yes—
849C4⋊C4×C43C2412yes—
850C4⋊C4×C43C2414yes—
851C4⋊C4×C43C2414yes—
852C4⋊C4×C43C2411yescharacteristic
853C4⋊C4×C43C2414yes—
854C4⋊C4×C43C2412yes—
855C22⋊C4×C43C2412yes—
856C22⋊C4×C43C2414yes—
857C22⋊C4×C43C2414yes—
858C22⋊C4×C43C2414yes—
859C22⋊C4×C43C2414yes—
860C22⋊C4×C43C2414yes—
861C22⋊C4×C43C2414yes—
862C22⋊C4×C43C2414yes—
863C22⋊C4×C43C2414yes—
864C22⋊C4×C43C2412yes—
865C22⋊C4×C43C2412yes—
866C22⋊C4×C43C2412yes—
867C22⋊C4×C43C2414yes—
868C22⋊C4×C43C2412yes—
869C22⋊C4×C43C2414yes—
870C42×C43C2411yescharacteristic
871C42×C43C2411yescharacteristic
872C42×C43C2411yescharacteristic
873C42×C43C2411yescharacteristic
874C42×C43C2414yes—
875C42×C43C2412yes—
876C42×C43C2414yes—
877C22⋊Dic43C2414yes—
878C22⋊Dic43C2414yes—
879C22⋊Dic43C2414yes—
880C22⋊Dic43C2412yes—
881C22⋊Dic43C2412yes—
882C22⋊Dic43C2412yes—
883C22⋊Dic43C2412yes—
884C22⋊Dic43C2412yes—
885C22⋊Dic43C2414yes—
886C22⋊Dic43C2414yes—
887C22⋊Dic43C2414yes—
888C22⋊Dic43C2414yes—
889(C2×D43)⋊C4C2412yes—
890(C2×D43)⋊C4C2412yes—
891(C2×D43)⋊C4C2412yes—
892(C2×D43)⋊C4C2412yes—
893(C2×D43)⋊C4C2412yes—
894(C2×D43)⋊C4C2414yes—
895(C2×D43)⋊C4C2414yes—
896(C2×D43)⋊C4C2414yes—
897(C2×D43)⋊C4C2412yes—
898(C2×D43)⋊C4C2412yes—
899(C2×D43)⋊C4C2414yes—
900(C2×D43)⋊C4C2414yes—
901(C2×D43)⋊C4C2412yes—
902(C2×D43)⋊C4C2412yes—
903(C2×D43)⋊C4C2412yes—
904(C2×D43)⋊C4C2414yes—
905(C2×D43)⋊C4C2414yes—
906(C2×D43)⋊C4C2414yes—
907(C2×D43)⋊C4C2414yes—
908(C2×D43)⋊C4C2414yes—
909(C2×D43)⋊C4C2414yes—
910(C2×D43)⋊C4C2414yes—
911(C2×D43)⋊C4C2414yes—
912(C2×D43)⋊C4C2414yes—
913(C2×D43)⋊C4C2414yes—
914(C2×D43)⋊C4C2414yes—
915(C2×D43)⋊C4C2414yes—
916(C2×D43)⋊C4C2414yes—
917(C2×D43)⋊C4C2414yes—
918(C2×D43)⋊C4C2414yes—
919C4⋊Dic43C2412yes—
920C4⋊Dic43C2412yes—
921C4⋊Dic43C2412yes—
922C4⋊Dic43C2414yes—
923C4⋊Dic43C2412yes—
924C4⋊Dic43C2414yes—
925C4⋊Dic43C2412yes—
926C4⋊Dic43C2411yescharacteristic
927C4⋊Dic43C2411yescharacteristic
928C4⋊Dic43C2412yes—
929C4⋊Dic43C2414yes—
930C4⋊Dic43C2414yes—
931C4⋊Dic43C2412yes—
932C4⋊Dic43C2414yes—
933C4⋊Dic43C2412yes—
934C4⋊Dic43C2414yes—
935C4⋊Dic43C2414yes—
936C4⋊Dic43C2412yes—
937C4⋊Dic43C2414yes—
938C4⋊Dic43C2412yes—
939C4⋊Dic43C2414yes—
940C4⋊Dic43C2414yes—
941Dic43⋊C4C2412yes—
942Dic43⋊C4C2414yes—
943Dic43⋊C4C2414yes—
944Dic43⋊C4C2414yes—
945Dic43⋊C4C2414yes—
946Dic43⋊C4C2412yes—
947Dic43⋊C4C2412yes—
948Dic43⋊C4C2412yes—
949Dic43⋊C4C2412yes—
950Dic43⋊C4C2412yes—
951Dic43⋊C4C2412yes—
952Dic43⋊C4C2412yes—
953Dic43⋊C4C2412yes—
954Dic43⋊C4C2414yes—
955Dic43⋊C4C2412yes—
956Dic43⋊C4C2414yes—
957Dic43⋊C4C2414yes—
958Dic43⋊C4C2414yes—
959Dic43⋊C4C2414yes—
960Dic43⋊C4C2414yes—
961Dic43⋊C4C2414yes—
962Dic43⋊C4C2414yes—
963Dic43⋊C4C2414yes—
964Dic43⋊C4C2414yes—
965Dic43⋊C4C2414yes—
966Dic43⋊C4C2414yes—
967C4×Dic43C2411yescharacteristic
968C4×Dic43C2411yescharacteristic
969C4×Dic43C2411yescharacteristic
970C4×Dic43C2411yescharacteristic
971C4×Dic43C2411yescharacteristic
972C4×Dic43C2411yescharacteristic
973C4×Dic43C2411yescharacteristic
974C4×Dic43C2411yescharacteristic
975C4×Dic43C2411yescharacteristic
976C4×Dic43C2411yescharacteristic
977C4×Dic43C2411yescharacteristic
978C4×Dic43C2411yescharacteristic
979C4×Dic43C2412yes—
980C4×Dic43C2414yes—
981C4×Dic43C2412yes—
982C4×Dic43C2412yes—
983C4×Dic43C2414yes—
984C4×Dic43C2414yes—
985C4×Dic43C2414yes—
986C4×Dic43C2414yes—
987C4×Dic43C2414yes—
988C4×Dic43C2414yes—
989C4×Dic43C2414yes—
990C4×Dic43C2414yes—
991C23×C43—24no—
992C23×C43—42no—
993C23×C43—42no—
994C23×C43C2514yes—
995C23×C43C2512yes—
996C23×C43C2511yescharacteristic
997C22×D43—22no—
998C22×D43—22no—
999C22×D43—24no—
1000C22×D43—41no—
1001C22×D43—42no—
1002C22×D43—42no—
1003C22×D43—44no—
1004C22×D43—44no—
1005C22×D43—44no—
1006C22×D43C2512yes—
1007C22×D43C2511yescharacteristic
1008C22×D43C2514yes—
1009C22×D43C2511yescharacteristic
1010Q8×C43—24no—
1011Q8×C43—24no—
1012Q8×C43—41no—
1013Q8×C43—42no—
1014Q8×C43—44no—
1015Q8×C43—42no—
1016D4×C43—24no—
1017D4×C43—24no—
1018D4×C43—41no—
1019D4×C43—44no—
1020D4×C43—42no—
1021D4×C43—44no—
1022C2×C4×C43—22no—
1023C2×C4×C43—22no—
1024C2×C4×C43—24no—
1025C2×C4×C43—41no—
1026C2×C4×C43—44no—
1027C2×C4×C43—44no—
1028C2×C4×C43—42no—
1029C2×C4×C43—44no—
1030C2×C4×C43C2514yes—
1031C2×C4×C43C2514yes—
1032C2×C4×C43C2511yescharacteristic
1033C2×C4×C43C2511yescharacteristic
1034C2×C4×C43C2511yescharacteristic
1035C2×C4×C43C2511yescharacteristic
1036C2×C4×C43C2514yes—
1037C2×C4×C43C2511yescharacteristic
1038C2×C4×C43C2512yes—
1039C2×C4×C43C2512yes—
1040C2×C4×C43C2512yes—
1041C2×C4×C43C2511yescharacteristic
1042C22⋊D43—28no—
1043C22⋊D43—24no—
1044C22⋊D43—28no—
1045C22⋊D43—44no—
1046C22⋊D43—42no—
1047C22⋊D43—44no—
1048C22⋊D43—44no—
1049C22⋊D43—42no—
1050C22⋊D43—44no—
1051C22⋊D43—44no—
1052C22⋊D43—44no—
1053C22⋊D43—44no—
1054C2×Dic43—22no—
1055C2×Dic43—24no—
1056C2×Dic43—41no—
1057C2×Dic43—41no—
1058C2×Dic43—42no—
1059C2×Dic43—44no—
1060C2×Dic43—44no—
1061C2×Dic43—44no—
1062C2×Dic43—44no—
1063C2×Dic43—42no—
1064C2×Dic43C2511yescharacteristic
1065C2×Dic43C2511yescharacteristic
1066C2×Dic43C2511yescharacteristic
1067C2×Dic43C2511yescharacteristic
1068C2×Dic43C2511yescharacteristic
1069C2×Dic43C2512yes—
1070C2×Dic43C2514yes—
1071C2×Dic43C2511yescharacteristic
1072C2×Dic43C2512yes—
1073C2×Dic43C2514yes—
1074C2×Dic43C2512yes—
1075C2×Dic43C2514yes—
1076D172—28no—
1077D172—24no—
1078D172—42no—
1079D172—42no—
1080D172—41no—
1081D172—42no—
1082D172—44no—
1083D172—44no—
1084C4×D43—22no—
1085C4×D43—22no—
1086C4×D43—24no—
1087C4×D43—22no—
1088C4×D43—24no—
1089C4×D43—22no—
1090C4×D43—41no—
1091C4×D43—41no—
1092C4×D43—41no—
1093C4×D43—42no—
1094C4×D43—41no—
1095C4×D43—42no—
1096C4×D43—41no—
1097C4×D43—41no—
1098C4×D43—41no—
1099C4×D43—41no—
1100C4×D43—44no—
1101C4×D43—44no—
1102C4×D43—44no—
1103C4×D43—42no—
1104C4×D43—44no—
1105C4×D43—44no—
1106C4×D43—44no—
1107C4×D43—44no—
1108Dic86—44no—
1109Dic86—42no—
1110Dic86—44no—
1111Dic86—41no—
1112Dic86—42no—
1113#62828—431nomaximal, Sylow
1114C22×C43—21no—
1115C22×C43—21no—
1116C22×C43—22no—
1117C22×C43—24no—
1118C22×C43—24no—
1119C22×C43—24no—
1120C22×C43—22no—
1121C22×C43—22no—
1122C22×C43—84no—
1123C22×C43#58512yes—
1124C22×C43C2611yescharacteristic
1125C2×D43—21no—
1126C2×D43—21no—
1127C2×D43—22no—
1128C2×D43—21no—
1129C2×D43—21no—
1130C2×D43—22no—
1131C2×D43—22no—
1132C2×D43—21no—
1133C2×D43—24no—
1134C2×D43—24no—
1135C2×D43—24no—
1136C2×D43—44no—
1137C2×D43—84no—
1138C2×D43—164no—
1139C2×D43#58512yes—
1140C4×C43—22no—
1141C4×C43—21no—
1142C4×C43—22no—
1143C4×C43—21no—
1144C4×C43—24no—
1145C4×C43—21no—
1146C4×C43—21no—
1147C4×C43—22no—
1148C4×C43—21no—
1149C4×C43—24no—
1150C4×C43—24no—
1151C4×C43#58512yes—
1152Dic43—22no—
1153Dic43—21no—
1154Dic43—24no—
1155Dic43—24no—
1156Dic43—24no—
1157Dic43—21no—
1158Dic43—21no—
1159Dic43—21no—
1160Dic43—22no—
1161Dic43—21no—
1162Dic43—21no—
1163Dic43—22no—
1164#3568—432no—
1165#3567—432no—
1166#3566—434no—
1167#3565—432no—
1168#3563—431no—
1169#3562—432no—
1170#3561D4311yescharacteristic, complemented
1171#3559—431no—
1172#3558—431no—
1173#3553—432no—
1174#3545—432no—
1175#3535—432no—
1176#3534—432no—
1177#3524—432no—
1178#3521—432no—
1179#3521—434no—
1180#3521—434no—
1181#3520—432no—
1182#3519—432no—
1183#3516—432no—
1184#3513—434no—
1185#3513—432no—
1186#3507—432no—
1187#3505—432no—
1188#3495—432no—
1189#3494—432no—
1190#3493—432no—
1191#3491—432no—
1192#3444—431no—
1193C2×#529—431no—
1194C2×#529—431no—
1195C2×C43—22no—
1196C2×C43—42no—
1197C2×C43—44no—
1198C2×C43C2×#58511yescharacteristic
1199C2×C43C2×#58511yescharacteristic
1200C2×C43C2×#58511yescharacteristic
1201D43—22no—
1202D43—41no—
1203D43—42no—
1204D43—44no—
1205#564—432no—
1206#563—432no—
1207#563—432no—
1208#563—434no—
1209#563C2×D4312yescomplemented
1210#562—434no—
1211#562—432no—
1212#562—432no—
1213#562—434no—
1214#562C2×D4312yescomplemented
1215H(3,𝔽4)—432no—
1216#560—434no—
1217#559—432no—
1218#559—432no—
1219#559—434no—
1220#557—432no—
1221#557—432no—
1222#556—432no—
1223#556—434no—
1224#556—434no—
1225#556—434no—
1226#556—434no—
1227#556—434no—
1228#556—432no—
1229#556C2×D4312yescomplemented
1230#555—434no—
1231#555—434no—
1232#555—432no—
1233#554—434no—
1234#554—434no—
1235#554—432no—
1236#554—434no—
1237#554—432no—
1238#554—432no—
1239#553—434no—
1240#553—434no—
1241#553—434no—
1242#553—434no—
1243#553—434no—
1244#553—434no—
1245#553—432no—
1246#553—434no—
1247#553—432no—
1248#553—434no—
1249#553—432no—
1250#553—434no—
1251#553—434no—
1252#553—432no—
1253#552—434no—
1254#552—434no—
1255#552—434no—
1256#552—434no—
1257#552—432no—
1258#552—434no—
1259#552—434no—
1260#552—434no—
1261#552—434no—
1262#552—434no—
1263#552—432no—
1264#552—432no—
1265#552—432no—
1266#552—434no—
1267#552—434no—
1268#551—434no—
1269#551—434no—
1270#551—434no—
1271#551—434no—
1272#551—434no—
1273#551—434no—
1274#551—434no—
1275#551—434no—
1276#551—434no—
1277#551—434no—
1278#551—434no—
1279#551—434no—
1280#551—434no—
1281#551C2×D4314yescomplemented
1282#550—432no—
1283D4×Q8C2×D4312yescomplemented
1284#548—432no—
1285#548—432no—
1286#548—432no—
1287#548C2×D4312yescomplemented
1288#547—432no—
1289#547—434no—
1290#547—434no—
1291#547—432no—
1292#546—432no—
1293#546—434no—
1294#546—432no—
1295#546—432no—
1296#546—434no—
1297#546—434no—
1298#546—434no—
1299#546—434no—
1300#546—434no—
1301#546—434no—
1302#546C2×D4312yescomplemented
1303D42—432no—
1304D42—434no—
1305#544—432no—
1306#544—432no—
1307#544—432no—
1308#543C2×D4312yescomplemented
1309#542—434no—
1310#542—434no—
1311#542—432no—
1312#542—432no—
1313#542—434no—
1314#542—432no—
1315#542—434no—
1316#542—434no—
1317#542C2×D4312yescomplemented
1318#542C2×D4314yescomplemented
1319#541—432no—
1320#541—432no—
1321#541—434no—
1322#541—434no—
1323#541—434no—
1324#540—434no—
1325#540—432no—
1326#540—434no—
1327#540—434no—
1328#540—432no—
1329#539—434no—
1330#539—434no—
1331#539—434no—
1332#539—434no—
1333#539—434no—
1334#539—434no—
1335#539—432no—
1336#539—432no—
1337#539—434no—
1338#539—434no—
1339#539—434no—
1340#539—434no—
1341#538—434no—
1342#538—434no—
1343#538—434no—
1344#538—434no—
1345#538—434no—
1346#538—434no—
1347#538—434no—
1348#538—434no—
1349#538—432no—
1350#538C2×D4312yescomplemented
1351#537—432no—
1352#536—434no—
1353#536C2×D4312yescomplemented
1354#535—432no—
1355#534—434no—
1356#534—432no—
1357#533—431no—
1358#533—431no—
1359#533—432no—
1360#533C2×D4311yescharacteristic, complemented
1361#532—431no—
1362#532—431no—
1363#532—432no—
1364#532—431no—
1365#529—432no—
1366#529—431no—
1367#529—432no—
1368#529—432no—
1369#529—432no—
1370#529—432no—
1371#529—432no—
1372#529—432no—
1373#529—432no—
1374#529—432no—
1375#529—432no—
1376#529—431no—
1377#529—432no—
1378#529—432no—
1379#529—434no—
1380#529—432no—
1381#529—431no—
1382#529—432no—
1383#529—432no—
1384#529—434no—
1385#529—431no—
1386#529—431no—
1387#529—432no—
1388#529—432no—
1389#529—432no—
1390#529—432no—
1391#529—431no—
1392#529—434no—
1393#529—434no—
1394#529—432no—
1395#529—434no—
1396#529—431no—
1397#529C2×D4311yescharacteristic, complemented
1398C2×#126—432no—
1399C2×#126—434no—
1400C2×#126—432no—
1401C2×#125—431no—
1402C2×#125—431no—
1403C2×#124—431no—
1404C2×#124C2×D4311yescharacteristic, complemented
1405#525—432no—
1406#525—432no—
1407#525—432no—
1408#525—432no—
1409#525—434no—
1410#525—432no—
1411C2×#123—432no—
1412C2×#123—432no—
1413C2×#123—434no—
1414C2×C22⋊Q8—431no—
1415C2×C22⋊Q8—432no—
1416C2×C22⋊Q8—431no—
1417C2×#121—431no—
1418C2×#121—431no—
1419C2×#121—432no—
1420#520—432no—
1421#520—432no—
1422#520—434no—
1423#520—434no—
1424#519—432no—
1425#518—432no—
1426#518—434no—
1427#518—434no—
1428C4×#41—432no—
1429C4×#41—432no—
1430C4×#41—432no—
1431C2×C4×Q8—431no—
1432C2×C4×Q8—431no—
1433C2×C4×D4—431no—
1434C2×C4×D4—431no—
1435C2×C4×D4—432no—
1436C2×C4×D4—432no—
1437C2×#117—432no—
1438C2×#117—432no—
1439C22×C42—431no—
1440C43#6282811yescharacteristic, complemented, Sylow
1441C2×#41—432no—
1442C2×#41—432no—
1443C2×#41—432no—
1444C2×#41—434no—
1445C2×#41—432no—
1446C2×#41—434no—
1447C2×#41C22×D4312yes—
1448C22×Q8—431no—
1449C22×Q8C22×D4311yescharacteristic
1450C22×Q8C22×D4312yes—
1451C22×D4—432no—
1452C22×D4—434no—
1453C22×D4—432no—
1454C22×D4—431no—
1455C22×D4—434no—
1456C22×D4—432no—
1457C22×D4C22×D4311yescharacteristic
1458C23×C4—432no—
1459C23×C4—432no—
1460C23×C4—431no—
1461C23×C4—431no—
1462C23×C4—431no—
1463C4⋊Q8—434no—
1464C4⋊Q8—432no—
1465C4⋊Q8—434no—
1466C4⋊Q8—434no—
1467C4⋊Q8—434no—
1468C4⋊Q8—431no—
1469C4⋊Q8—432no—
1470C4⋊Q8C22×D4311yescharacteristic
1471C4⋊Q8C22×D4311yescharacteristic
1472C4⋊Q8C22×D4312yes—
1473C4⋊Q8C22×D4314yes—
1474#127—432no—
1475#127—434no—
1476#127—431no—
1477#126—432no—
1478#126—432no—
1479#126—432no—
1480#126—434no—
1481#126—434no—
1482#126—434no—
1483#126—434no—
1484#126—434no—
1485#126—434no—
1486#126—434no—
1487#126—434no—
1488#126—434no—
1489#126—434no—
1490#126—434no—
1491#126—434no—
1492#126—434no—
1493#126—434no—
1494#126—434no—
1495#126—434no—
1496#126—434no—
1497#126—432no—
1498#126—434no—
1499#126—434no—
1500#126—434no—
1501#126—432no—
1502#126—432no—
1503#126—434no—
1504#126—434no—
1505#126—434no—
1506#126—434no—
1507#126—434no—
1508#126—434no—
1509#126—432no—
1510#126—434no—
1511#126C22×D4312yes—
1512#126C22×D4314yes—
1513#126C22×D4314yes—
1514#126C22×D4314yes—
1515#125—432no—
1516#125—432no—
1517#125—431no—
1518#125—431no—
1519#125—432no—
1520#125—432no—
1521#125—434no—
1522#125—434no—
1523#125—434no—
1524#125—432no—
1525#125—434no—
1526#125—434no—
1527#125—434no—
1528#125—434no—
1529#125—434no—
1530#125—434no—
1531#125—434no—
1532#125—434no—
1533#125—434no—
1534#125—434no—
1535#125—434no—
1536#125—432no—
1537#125—432no—
1538#125—432no—
1539#125—431no—
1540#125—432no—
1541#125—434no—
1542#125—432no—
1543#125—434no—
1544#125C22×D4311yescharacteristic
1545#125C22×D4312yes—
1546#124—431no—
1547#124—432no—
1548#124—432no—
1549#124—432no—
1550#124—434no—
1551#124—434no—
1552#124—434no—
1553#124—431no—
1554#124—434no—
1555#124—432no—
1556#124—432no—
1557#124—434no—
1558#124—434no—
1559#124—434no—
1560#124—434no—
1561#124—434no—
1562#124—434no—
1563#124—434no—
1564#124—431no—
1565#124—432no—
1566#124—434no—
1567#124C22×D4311yescharacteristic
1568#124C22×D4312yes—
1569#124C22×D4312yes—
1570#124C22×D4312yes—
1571#124C22×D4312yes—
1572#124C22×D4312yes—
1573#124C22×D4314yes—
1574#124C22×D4314yes—
1575#123—432no—
1576#123—434no—
1577#123—432no—
1578#123—434no—
1579#123—434no—
1580#123—432no—
1581#123—432no—
1582#123—434no—
1583#123—434no—
1584#123—434no—
1585#123—434no—
1586#123—434no—
1587#123—434no—
1588#123—434no—
1589#123—434no—
1590#123—434no—
1591#123—432no—
1592#123—434no—
1593#123—434no—
1594#123—434no—
1595#123—432no—
1596#123—434no—
1597#123—432no—
1598#123—434no—
1599#123—434no—
1600#123—434no—
1601#123—434no—
1602#123—434no—
1603#123—434no—
1604#123—434no—
1605#123—434no—
1606#123—434no—
1607#123—434no—
1608#123—434no—
1609#123—434no—
1610#123—434no—
1611#123—434no—
1612#123—434no—
1613#123—434no—
1614#123—434no—
1615#123—434no—
1616#123—434no—
1617#123—434no—
1618#123—434no—
1619#123C22×D4312yes—
1620#123C22×D4314yes—
1621#123C22×D4314yes—
1622#123C22×D4314yes—
1623#123C22×D4314yes—
1624C22⋊Q8—432no—
1625C22⋊Q8—432no—
1626C22⋊Q8—431no—
1627C22⋊Q8—432no—
1628C22⋊Q8—432no—
1629C22⋊Q8—432no—
1630C22⋊Q8—434no—
1631C22⋊Q8—434no—
1632C22⋊Q8—432no—
1633C22⋊Q8—432no—
1634C22⋊Q8—432no—
1635C22⋊Q8—432no—
1636C22⋊Q8—434no—
1637C22⋊Q8—434no—
1638C22⋊Q8—434no—
1639C22⋊Q8—434no—
1640C22⋊Q8—434no—
1641C22⋊Q8—431no—
1642C22⋊Q8—434no—
1643C22⋊Q8—431no—
1644C22⋊Q8—432no—
1645C22⋊Q8—432no—
1646C22⋊Q8—432no—
1647C22⋊Q8—434no—
1648C22⋊Q8—434no—
1649C22⋊Q8—434no—
1650C22⋊Q8—434no—
1651C22⋊Q8—434no—
1652C22⋊Q8—434no—
1653C22⋊Q8—434no—
1654C22⋊Q8—434no—
1655C22⋊Q8—432no—
1656C22⋊Q8—434no—
1657C22⋊Q8—434no—
1658C22⋊Q8—434no—
1659C22⋊Q8—434no—
1660C22⋊Q8—434no—
1661C22⋊Q8—434no—
1662C22⋊Q8—434no—
1663C22⋊Q8C22×D4311yescharacteristic
1664C22⋊Q8C22×D4312yes—
1665C22⋊Q8C22×D4312yes—
1666C22⋊Q8C22×D4312yes—
1667C22⋊Q8C22×D4314yes—
1668C22⋊Q8C22×D4314yes—
1669C22⋊Q8C22×D4314yes—
1670C22⋊Q8C22×D4314yes—
1671C22⋊Q8C22×D4314yes—
1672C22⋊Q8C22×D4314yes—
1673C22⋊Q8C22×D4314yes—
1674#121—432no—
1675#121—432no—
1676#121—431no—
1677#121—432no—
1678#121—432no—
1679#121—432no—
1680#121—434no—
1681#121—434no—
1682#121—434no—
1683#121—432no—
1684#121—434no—
1685#121—434no—
1686#121—434no—
1687#121—434no—
1688#121—434no—
1689#121—434no—
1690#121—434no—
1691#121—431no—
1692#121—432no—
1693#121—432no—
1694#121—432no—
1695#121—432no—
1696#121—434no—
1697#121—434no—
1698#121—434no—
1699#121—434no—
1700#121—432no—
1701#121—431no—
1702#121—432no—
1703#121—432no—
1704#121—432no—
1705#121—434no—
1706#121—432no—
1707#121—434no—
1708#121—434no—
1709#121—434no—
1710#121—434no—
1711#121—434no—
1712#121—434no—
1713#121—434no—
1714#121—434no—
1715#121—434no—
1716#121C22×D4311yescharacteristic
1717#121C22×D4312yes—
1718#121C22×D4314yes—
1719#121C22×D4314yes—
1720#120—434no—
1721#120—434no—
1722#120—434no—
1723#120—434no—
1724#120—434no—
1725#120—434no—
1726#120—434no—
1727#120—434no—
1728#120—434no—
1729#120—434no—
1730#120C22×D4314yes—
1731C4×Q8—432no—
1732C4×Q8—432no—
1733C4×Q8—432no—
1734C4×Q8—431no—
1735C4×Q8—432no—
1736C4×Q8—432no—
1737C4×Q8—432no—
1738C4×Q8—432no—
1739C4×Q8—434no—
1740C4×Q8—434no—
1741C4×Q8—432no—
1742C4×Q8—432no—
1743C4×Q8—432no—
1744C4×Q8—431no—
1745C4×Q8—432no—
1746C4×Q8—432no—
1747C4×Q8—434no—
1748C4×Q8—432no—
1749C4×Q8—431no—
1750C4×Q8—434no—
1751C4×Q8—434no—
1752C4×Q8—434no—
1753C4×Q8C22×D4311yescharacteristic
1754C4×Q8C22×D4312yes—
1755C4×Q8C22×D4312yes—
1756C4×Q8C22×D4312yes—
1757C4×D4—432no—
1758C4×D4—432no—
1759C4×D4—432no—
1760C4×D4—432no—
1761C4×D4—432no—
1762C4×D4—431no—
1763C4×D4—434no—
1764C4×D4—434no—
1765C4×D4—434no—
1766C4×D4—432no—
1767C4×D4—432no—
1768C4×D4—432no—
1769C4×D4—432no—
1770C4×D4—434no—
1771C4×D4—434no—
1772C4×D4—434no—
1773C4×D4—434no—
1774C4×D4—434no—
1775C4×D4—434no—
1776C4×D4—434no—
1777C4×D4—434no—
1778C4×D4—434no—
1779C4×D4—432no—
1780C4×D4—431no—
1781C4×D4—432no—
1782C4×D4—434no—
1783C4×D4—434no—
1784C4×D4—432no—
1785C4×D4—432no—
1786C4×D4—432no—
1787C4×D4—434no—
1788C4×D4—434no—
1789C4×D4—432no—
1790C4×D4—434no—
1791C4×D4—434no—
1792C4×D4—432no—
1793C4×D4—434no—
1794C4×D4—432no—
1795C4×D4—434no—
1796C4×D4—434no—
1797C4×D4—434no—
1798C4×D4—434no—
1799C4×D4—434no—
1800C4×D4—434no—
1801C4×D4—434no—
1802C4×D4—434no—
1803C4×D4—434no—
1804C4×D4—434no—
1805C4×D4—434no—
1806C4×D4—431no—
1807C4×D4—432no—
1808C4×D4—434no—
1809C4×D4—434no—
1810C4×D4—432no—
1811C4×D4—432no—
1812C4×D4—432no—
1813C4×D4—434no—
1814C4×D4—434no—
1815C4×D4—432no—
1816C4×D4C22×D4312yes—
1817C4×D4C22×D4311yescharacteristic
1818C4×D4C22×D4314yes—
1819C4×D4C22×D4312yes—
1820C4×D4C22×D4314yes—
1821#117—432no—
1822#117—432no—
1823#117—434no—
1824#117—434no—
1825#117—434no—
1826#117—432no—
1827#117—432no—
1828#117—432no—
1829#117—432no—
1830#117—434no—
1831#117—434no—
1832#117—432no—
1833#117—434no—
1834#117—434no—
1835#117—434no—
1836#117—434no—
1837#117—434no—
1838#117—434no—
1839#117—434no—
1840#117—432no—
1841#117—432no—
1842#117—434no—
1843#117—434no—
1844#117—434no—
1845#117—434no—
1846#117—432no—
1847#117—432no—
1848#117—434no—
1849#117—434no—
1850#117—434no—
1851#117—434no—
1852#117C22×D4312yes—
1853#117C22×D4312yes—
1854#117C22×D4314yes—
1855C2×C4⋊C4—432no—
1856C2×C4⋊C4—432no—
1857C2×C4⋊C4—431no—
1858C2×C4⋊C4—432no—
1859C2×C4⋊C4—431no—
1860C2×C4⋊C4—432no—
1861C2×C4⋊C4—434no—
1862C2×C4⋊C4—432no—
1863C2×C4⋊C4—434no—
1864C2×C4⋊C4—434no—
1865C2×C4⋊C4—432no—
1866C2×C4⋊C4—432no—
1867C2×C4⋊C4—431no—
1868C2×C4⋊C4—432no—
1869C2×C4⋊C4—432no—
1870C2×C4⋊C4—431no—
1871C2×C4⋊C4—432no—
1872C2×C4⋊C4—434no—
1873C2×C4⋊C4—434no—
1874C2×C4⋊C4—434no—
1875C2×C22⋊C4—432no—
1876C2×C22⋊C4—432no—
1877C2×C22⋊C4—432no—
1878C2×C22⋊C4—434no—
1879C2×C22⋊C4—434no—
1880C2×C22⋊C4—434no—
1881C2×C22⋊C4—432no—
1882C2×C22⋊C4—432no—
1883C2×C22⋊C4—432no—
1884C2×C22⋊C4—432no—
1885C2×C22⋊C4—432no—
1886C2×C22⋊C4—434no—
1887C2×C22⋊C4—434no—
1888C2×C22⋊C4—434no—
1889C2×C22⋊C4—434no—
1890C2×C22⋊C4C22×D4312yes—
1891C2×C22⋊C4C22×D4312yes—
1892C2×C22⋊C4C22×D4314yes—
1893C2×C42—431no—
1894C2×C42—432no—
1895C2×C42—431no—
1896C2×C42—431no—
1897C2×C42—431no—
1898C2×C42—432no—
1899C2×C42—431no—
1900C2×C42—434no—
1901C2×C42—431no—
1902C2×C42—431no—
1903C2×C42—431no—
1904C2×C42—431no—
1905C2×C42—431no—
1906C2×C42—431no—
1907C2×C42C22×D4311yescharacteristic
1908C24—431no—
1909C24—432no—
1910C24—434no—
1911C24C23×D4312yes—
1912#41—44no—
1913#41—1724no—
1914#41—1728no—
1915#41—1728no—
1916#41—1724no—
1917#41—1724no—
1918#41—1724no—
1919C2×Q8—42no—
1920C2×Q8—44no—
1921C2×Q8—434no—
1922C2×Q8—432no—
1923C2×Q8—432no—
1924C2×Q8—434no—
1925C2×Q8—431no—
1926C2×Q8—1722no—
1927C2×Q8C23×D4312yes—
1928C2×Q8C23×D4312yes—
1929C2×Q8C23×D4314yes—
1930C2×Q8C23×D4312yes—
1931C2×Q8C23×D4311yescharacteristic
1932C2×Q8C23×D4312yes—
1933C2×D4—42no—
1934C2×D4—434no—
1935C2×D4—434no—
1936C2×D4—432no—
1937C2×D4—434no—
1938C2×D4—434no—
1939C2×D4—434no—
1940C2×D4—432no—
1941C2×D4—434no—
1942C2×D4—434no—
1943C2×D4—434no—
1944C2×D4—434no—
1945C2×D4—432no—
1946C2×D4—434no—
1947C2×D4—432no—
1948C2×D4—434no—
1949C2×D4—431no—
1950C2×D4—432no—
1951C2×D4—434no—
1952C2×D4—432no—
1953C2×D4—432no—
1954C2×D4—1724no—
1955C2×D4—1722no—
1956C2×D4—1724no—
1957C2×D4—1728no—
1958C2×D4—1728no—
1959C2×D4—1724no—
1960C2×D4C23×D4312yes—
1961C2×D4C23×D4312yes—
1962C2×D4C23×D4314yes—
1963C2×D4C23×D4312yes—
1964C2×D4C23×D4314yes—
1965C2×D4C23×D4311yescharacteristic
1966C22×C4—431no—
1967C22×C4—432no—
1968C22×C4—431no—
1969C22×C4—431no—
1970C22×C4—432no—
1971C22×C4—434no—
1972C22×C4—434no—
1973C22×C4—434no—
1974C22×C4—432no—
1975C22×C4—434no—
1976C22×C4—431no—
1977C22×C4—431no—
1978C22×C4—431no—
1979C22×C4—431no—
1980C22×C4—432no—
1981C22×C4—432no—
1982C22×C4—431no—
1983C22×C4—431no—
1984C22×C4—431no—
1985C22×C4—431no—
1986C22×C4—431no—
1987C22×C4—431no—
1988C22×C4—431no—
1989C22×C4—431no—
1990C22×C4—432no—
1991C22×C4—434no—
1992C22×C4—434no—
1993C22×C4—434no—
1994C22×C4—432no—
1995C22×C4—432no—
1996C22×C4—434no—
1997C22×C4—434no—
1998C22×C4—434no—
1999C22×C4—434no—
2000C22×C4—1722no—
2001C22×C4—1724no—
2002C22×C4—1722no—
2003C22×C4—1722no—
2004C22×C4—1724no—
2005C22×C4C23×D4311yescharacteristic
2006C22×C4C23×D4311yescharacteristic
2007C22×C4C23×D4312yes—
2008C22×C4C23×D4311yescharacteristic
2009C22×C4C23×D4312yes—
2010C22×C4C23×D4314yes—
2011C22×C4C23×D4314yes—
2012C22×C4C23×D4314yes—
2013C4⋊C4—432no—
2014C4⋊C4—432no—
2015C4⋊C4—432no—
2016C4⋊C4—432no—
2017C4⋊C4—434no—
2018C4⋊C4—434no—
2019C4⋊C4—432no—
2020C4⋊C4—434no—
2021C4⋊C4—432no—
2022C4⋊C4—434no—
2023C4⋊C4—434no—
2024C4⋊C4—434no—
2025C4⋊C4—434no—
2026C4⋊C4—434no—
2027C4⋊C4—432no—
2028C4⋊C4—432no—
2029C4⋊C4—432no—
2030C4⋊C4—432no—
2031C4⋊C4—434no—
2032C4⋊C4—434no—
2033C4⋊C4—434no—
2034C4⋊C4—432no—
2035C4⋊C4—432no—
2036C4⋊C4—434no—
2037C4⋊C4—434no—
2038C4⋊C4—432no—
2039C4⋊C4—432no—
2040C4⋊C4—432no—
2041C4⋊C4—434no—
2042C4⋊C4—432no—
2043C4⋊C4—432no—
2044C4⋊C4—431no—
2045C4⋊C4—434no—
2046C4⋊C4—434no—
2047C4⋊C4—434no—
2048C4⋊C4—434no—
2049C4⋊C4—432no—
2050C4⋊C4—432no—
2051C4⋊C4—431no—
2052C4⋊C4—434no—
2053C4⋊C4—434no—
2054C4⋊C4—434no—
2055C4⋊C4—434no—
2056C4⋊C4—434no—
2057C4⋊C4—434no—
2058C4⋊C4—432no—
2059C4⋊C4—434no—
2060C4⋊C4—434no—
2061C4⋊C4C23×D4312yes—
2062C4⋊C4C23×D4312yes—
2063C4⋊C4C23×D4312yes—
2064C4⋊C4C23×D4312yes—
2065C4⋊C4C23×D4312yes—
2066C4⋊C4C23×D4311yescharacteristic
2067C4⋊C4C23×D4314yes—
2068C4⋊C4C23×D4314yes—
2069C4⋊C4C23×D4311yescharacteristic
2070C4⋊C4C23×D4314yes—
2071C4⋊C4C23×D4314yes—
2072C4⋊C4C23×D4312yes—
2073C4⋊C4C23×D4314yes—
2074C4⋊C4C23×D4314yes—
2075C4⋊C4C23×D4312yes—
2076C4⋊C4C23×D4312yes—
2077C22⋊C4—434no—
2078C22⋊C4—434no—
2079C22⋊C4—434no—
2080C22⋊C4—432no—
2081C22⋊C4—432no—
2082C22⋊C4—432no—
2083C22⋊C4—432no—
2084C22⋊C4—432no—
2085C22⋊C4—434no—
2086C22⋊C4—434no—
2087C22⋊C4—434no—
2088C22⋊C4—434no—
2089C22⋊C4—432no—
2090C22⋊C4—432no—
2091C22⋊C4—432no—
2092C22⋊C4—432no—
2093C22⋊C4—432no—
2094C22⋊C4—434no—
2095C22⋊C4—434no—
2096C22⋊C4—434no—
2097C22⋊C4—434no—
2098C22⋊C4—434no—
2099C22⋊C4—434no—
2100C22⋊C4—434no—
2101C22⋊C4—434no—
2102C22⋊C4—432no—
2103C22⋊C4—432no—
2104C22⋊C4—434no—
2105C22⋊C4—432no—
2106C22⋊C4—434no—
2107C22⋊C4—432no—
2108C22⋊C4—434no—
2109C22⋊C4—432no—
2110C22⋊C4—434no—
2111C22⋊C4—434no—
2112C22⋊C4—434no—
2113C22⋊C4—434no—
2114C22⋊C4—434no—
2115C22⋊C4—434no—
2116C22⋊C4—434no—
2117C22⋊C4—434no—
2118C22⋊C4—434no—
2119C22⋊C4C23×D4312yes—
2120C22⋊C4C23×D4314yes—
2121C22⋊C4C23×D4314yes—
2122C22⋊C4C23×D4314yes—
2123C22⋊C4C23×D4312yes—
2124C22⋊C4C23×D4312yes—
2125C22⋊C4C23×D4312yes—
2126C22⋊C4C23×D4314yes—
2127C22⋊C4C23×D4312yes—
2128C22⋊C4C23×D4314yes—
2129C22⋊C4C23×D4314yes—
2130C22⋊C4C23×D4314yes—
2131C22⋊C4C23×D4314yes—
2132C22⋊C4C23×D4314yes—
2133C22⋊C4C23×D4314yes—
2134C42—431no—
2135C42—431no—
2136C42—431no—
2137C42—431no—
2138C42—431no—
2139C42—431no—
2140C42—431no—
2141C42—431no—
2142C42—431no—
2143C42—431no—
2144C42—431no—
2145C42—431no—
2146C42—432no—
2147C42—434no—
2148C42—434no—
2149C42—434no—
2150C42—434no—
2151C42—432no—
2152C42—432no—
2153C42—434no—
2154C42—434no—
2155C42—434no—
2156C42—434no—
2157C42—434no—
2158C42C23×D4311yescharacteristic
2159C42C23×D4311yescharacteristic
2160C42C23×D4311yescharacteristic
2161C42C23×D4311yescharacteristic
2162C42C23×D4314yes—
2163C42C23×D4312yes—
2164C42C23×D4314yes—
2165C23—24no—
2166C23—42no—
2167C23—42no—
2168C23—431no—
2169C23—432no—
2170C23—434no—
2171C23—431no—
2172C23—864no—
2173C23—862no—
2174C23—862no—
2175C23—1722no—
2176C23—1722no—
2177C23—1721no—
2178C23—1724no—
2179C23—1724no—
2180C23—1724no—
2181C23C24×D4314yes—
2182C23C24×D4312yes—
2183C23C24×D4311yescharacteristic
2184Q8—24no—
2185Q8—24no—
2186Q8—44no—
2187Q8—42no—
2188Q8—41no—
2189Q8—42no—
2190Q8—1722no—
2191Q8—1721no—
2192Q8—1724no—
2193Q8—1722no—
2194Q8—1724no—
2195D4—24no—
2196D4—24no—
2197D4—42no—
2198D4—41no—
2199D4—44no—
2200D4—44no—
2201D4—868no—
2202D4—868no—
2203D4—864no—
2204D4—868no—
2205D4—864no—
2206D4—1721no—
2207D4—1722no—
2208D4—1722no—
2209D4—1724no—
2210D4—1724no—
2211D4—1722no—
2212D4—1722no—
2213D4—1724no—
2214D4—1724no—
2215D4—1724no—
2216D4—1724no—
2217D4—1722no—
2218D4—1724no—
2219D4—1724no—
2220D4—1724no—
2221C2×C4—22no—
2222C2×C4—22no—
2223C2×C4—24no—
2224C2×C4—41no—
2225C2×C4—44no—
2226C2×C4—42no—
2227C2×C4—44no—
2228C2×C4—44no—
2229C2×C4—431no—
2230C2×C4—431no—
2231C2×C4—431no—
2232C2×C4—431no—
2233C2×C4—431no—
2234C2×C4—432no—
2235C2×C4—431no—
2236C2×C4—434no—
2237C2×C4—434no—
2238C2×C4—432no—
2239C2×C4—434no—
2240C2×C4—432no—
2241C2×C4—862no—
2242C2×C4—862no—
2243C2×C4—864no—
2244C2×C4—862no—
2245C2×C4—864no—
2246C2×C4—862no—
2247C2×C4—864no—
2248C2×C4—862no—
2249C2×C4—1721no—
2250C2×C4—1721no—
2251C2×C4—1722no—
2252C2×C4—1722no—
2253C2×C4—1721no—
2254C2×C4—1721no—
2255C2×C4—1721no—
2256C2×C4—1721no—
2257C2×C4—1721no—
2258C2×C4—1721no—
2259C2×C4—1724no—
2260C2×C4—1722no—
2261C2×C4—1724no—
2262C2×C4—1724no—
2263C2×C4—1724no—
2264C2×C4—1724no—
2265C2×C4—1724no—
2266C2×C4—1724no—
2267C2×C4—1721no—
2268C2×C4—1721no—
2269C2×C4—1722no—
2270C2×C4—1724no—
2271C2×C4—1724no—
2272C2×C4—1722no—
2273C2×C4—1724no—
2274C2×C4—1724no—
2275C2×C4C24×D4314yes—
2276C2×C4C24×D4314yes—
2277C2×C4C24×D4311yescharacteristic
2278C2×C4C24×D4311yescharacteristic
2279C2×C4C24×D4311yescharacteristic
2280C2×C4C24×D4314yes—
2281C2×C4C24×D4311yescharacteristic
2282C2×C4C24×D4311yescharacteristic
2283C2×C4C24×D4312yes—
2284C2×C4C24×D4312yes—
2285C2×C4C24×D4312yes—
2286C2×C4C24×D4311yescharacteristic
2287C22—21no—
2288C22—21no—
2289C22—24no—
2290C22—22no—
2291C22—22no—
2292C22—24no—
2293C22—24no—
2294C22—22no—
2295C22—84no—
2296C22—432no—
2297C22—861no—
2298C22—861no—
2299C22—864no—
2300C22—861no—
2301C22—862no—
2302C22—861no—
2303C22—862no—
2304C22—864no—
2305C22—864no—
2306C22—861no—
2307C22—862no—
2308C22—3444no—
2309C22—1724no—
2310C22—6884no—
2311C22#1458373612yes—
2312C22C25×D4311yescharacteristic
2313C4—22no—
2314C4—21no—
2315C4—21no—
2316C4—24no—
2317C4—22no—
2318C4—21no—
2319C4—24no—
2320C4—24no—
2321C4—21no—
2322C4—21no—
2323C4—22no—
2324C4—861no—
2325C4—861no—
2326C4—862no—
2327C4—864no—
2328C4—861no—
2329C4—861no—
2330C4—862no—
2331C4—861no—
2332C4—861no—
2333C4—864no—
2334C4—862no—
2335C4—864no—
2336C4#1458373412yes—
2337C2—22no—
2338C2—44no—
2339C2—42no—
2340C2—862no—
2341C2—1722no—
2342C2—1721no—
2343C2—1724no—
2344C2#585×D4311yescharacteristic
2345C2C2×#1458373411yescharacteristic
2346C2C2×#1458373611yescharacteristic
subgroupG/H
center, FrattiniC22C25×D43
commutator, socle, cosocleC22×C43C26
FittingC43×#3561C2
hypercenter#3561D43
hypocenterC43#62828
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ #3561

Complements

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

NH ≅ G/Ntype
1. #19149292C2semidirect
2. #19149282C2semidirect
3. #19149270C2semidirect
4. #19149246C2semidirect
5. #19149205C2semidirect
6. #19149171C2semidirect
7. #19149126C2semidirect
8. #19149114C2semidirect
9. #19149046C2semidirect
10. #19148945C2semidirect
11. #19148809C2semidirect
12. #19148786C2semidirect
13. #19148697C2semidirect
14. #19148662C2semidirect
15. #19148661C2semidirect
16. #19148656C2semidirect
17. #19148645C2semidirect
18. #19148624C2semidirect
19. #19148589C2semidirect
20. #19148536C2semidirect
21. #19148522C2semidirect
22. #19148450C2semidirect
23. #19148431C2semidirect
24. #19148344C2semidirect
25. #19148328C2semidirect
26. #19148310C2semidirect
27. #19148294C2semidirect
28. #19147892C2semidirect
29. C2×#14583428C2semidirect
30. #529×D43C2semidirect
31. C43×#3561C2semidirect
32. C43⋊#564C22semidirect
33. #14583653C22semidirect
34. #14583653C22semidirect
35. #14583650C22semidirect
36. #14583645C22semidirect
37. #14583643C22semidirect
38. #14583643C22semidirect
39. #14583643C22semidirect
40. #14583641C22semidirect
41. #14583639C22semidirect
42. #14583631C22semidirect
43. #14583631C22semidirect
44. #14583631C22semidirect
45. #14583625C22semidirect
46. #14583625C22semidirect
47. #14583623C22semidirect
48. #14583623C22semidirect
49. #14583622C22semidirect
50. #14583620C22semidirect
51. #14583618C22semidirect
52. #14583616C22semidirect
53. #14583616C22semidirect
54. #14583613C22semidirect
55. #14583613C22semidirect
56. #14583611C22semidirect
57. #14583610C22semidirect
58. #14583609C22semidirect
59. #14583607C22semidirect
60. #14583607C22semidirect
61. #14583607C22semidirect
62. #14583606C22semidirect
63. #14583601C22semidirect
64. #14583601C22semidirect
65. #14583600C22semidirect
66. #14583600C22semidirect
67. #14583599C22semidirect
68. #14583598C22semidirect
69. #14583595C22semidirect
70. #14583595C22semidirect
71. #14583595C22semidirect
72. #14583595C22semidirect
73. #14583594C22semidirect
74. #14583594C22semidirect
75. #14583594C22semidirect
76. #14583592C22semidirect
77. #14583591C22semidirect
78. #14583591C22semidirect
79. #14583591C22semidirect
80. #14583591C22semidirect
81. #14583591C22semidirect
82. #14583591C22semidirect
83. #14583590C22semidirect
84. #14583588C22semidirect
85. #14583586C22semidirect
86. #14583586C22semidirect
87. #14583585C22semidirect
88. #14583583C22semidirect
89. #14583583C22semidirect
90. #14583583C22semidirect
91. #14583582C22semidirect
92. #14583579C22semidirect
93. #14583576C22semidirect
94. #14583576C22semidirect
95. #14583576C22semidirect
96. #14583576C22semidirect
97. #14583576C22semidirect
98. #14583576C22semidirect
99. #14583575C22semidirect
100. #14583574C22semidirect
101. #14583573C22semidirect
102. #14583572C22semidirect
103. #14583572C22semidirect
104. #14583572C22semidirect
105. #14583568C22semidirect
106. #14583560C22semidirect
107. #14583560C22semidirect
108. #14583560C22semidirect
109. #14583553C22semidirect
110. #14583552C22semidirect
111. #14583551C22semidirect
112. #14583547C22semidirect
113. #14583546C22semidirect
114. #14583544C22semidirect
115. #14583542C22semidirect
116. #14583542C22semidirect
117. #14583542C22semidirect
118. #14583541C22semidirect
119. #14583539C22semidirect
120. #14583539C22semidirect
121. #14583537C22semidirect
122. #14583536C22semidirect
123. D4×C22⋊D43C22semidirect
124. #14583531C22semidirect
125. #14583528C22semidirect
126. #14583527C22semidirect
127. #14583526C22semidirect
128. #14583523C22semidirect
129. #14583522C22semidirect
130. #14583522C22semidirect
131. #14583522C22semidirect
132. #14583518C22semidirect
133. #14583518C22semidirect
134. #14583517C22semidirect
135. #14583515C22semidirect
136. #14583510C22semidirect
137. #14583510C22semidirect
138. #14583510C22semidirect
139. #14583507C22semidirect
140. #14583506C22semidirect
141. #14583504C22semidirect
142. #14583502C22semidirect
143. #14583502C22semidirect
144. #14583501C22semidirect
145. #14583499C22semidirect
147. #14583498C22semidirect
148. #14583498C22semidirect
149. #14583498C22semidirect
150. #14583495C22semidirect
151. #14583495C22semidirect
152. #14583495C22semidirect
153. #14583493C22semidirect
154. #14583493C22semidirect
155. #14583490C22semidirect
156. #14583490C22semidirect
157. #14583490C22semidirect
158. #14583489C22semidirect
159. #14583488C22semidirect
160. #14583487C22semidirect
161. #14583486C22semidirect
162. #14583485C22semidirect
163. #14583485C22semidirect
164. #14583484C22semidirect
165. #14583483C22semidirect
166. #14583483C22semidirect
167. #14583476C22semidirect
168. #14583472C22semidirect
169. #14583467C22semidirect
171. #14583457C22semidirect
172. #14583454C22semidirect
173. #14583454C22semidirect
174. #14583454C22semidirect
175. #14583450C22semidirect
176. #14583450C22semidirect
177. #14583449C22semidirect
179. #14583436C22semidirect
180. #14583436C22semidirect
181. #14583436C22semidirect
182. #14583436C22semidirect
184. #14583435C22semidirect
185. #14583435C22semidirect
186. #14583435C22semidirect
187. #14583434C22semidirect
188. #14583434C22semidirect
189. #14583434C22semidirect
191. #14583432C22semidirect
192. #14583431C22semidirect
193. #14583431C22semidirect
194. #14583430C22semidirect
195. #14583429C22semidirect
196. #14583429C22semidirect
197. #14583428C22semidirect
198. #14583428C22semidirect
199. #14583428C22semidirect
200. #14583428C22semidirect
201. #14583428C22semidirect
202. #14583428C22semidirect
203. #14583428C22semidirect
204. #14583428C22semidirect
205. #14583428C22semidirect
206. #14583428C22semidirect
207. #14583428C22semidirect
208. #14583427C22semidirect
209. #14583427C22semidirect
210. #14583426C22semidirect
211. C2×#13063318C22semidirect
212. #126×D43C22semidirect
213. #126×D43C22semidirect
214. C2×#13063317C22semidirect
215. #125×D43C22semidirect
216. #124×D43C22semidirect
217. #14583412C22semidirect
218. #14583412C22semidirect
219. #14583412C22semidirect
220. #14583411C22semidirect
222. #14583405C22semidirect
223. C2×#13063309C22semidirect
224. C2×#13063307C22semidirect
225. #123×D43C22semidirect
226. C2×#13063301C22semidirect
227. C2×#13063301C22semidirect
228. C22⋊Q8×D43C22semidirect
231. #121×D43C22semidirect
232. #14583382C22semidirect
233. #14583381C22semidirect
234. #14583379C22semidirect
235. #14583378C22semidirect
236. #14583377C22semidirect
237. #14583372C22semidirect
238. #14583371C22semidirect
239. #14583371C22semidirect
240. C4×#10621902C22semidirect
241. C4×#10621902C22semidirect
242. #14583367C22semidirect
243. C2×Q8×Dic43C22semidirect
244. C4×Q8×D43C22semidirect
245. C2×D4×Dic43C22semidirect
246. C2×(C22⋊D43)⋊C4C22semidirect
247. C4×D4×D43C22semidirect
248. C4×D4×D43C22semidirect
249. C2×#13063281C22semidirect
250. #117×D43C22semidirect
251. C2×C42×D43C22semidirect
252. C43×#563C22semidirect
253. C43×#562C22semidirect
254. C43×#556C22semidirect
255. C43×#551C22semidirect
256. D4×Q8×C43C22semidirect
257. C43×#548C22semidirect
258. C43×#546C22semidirect
259. C43×#543C22semidirect
260. C43×#542C22semidirect
261. C43×#542C22semidirect
262. C43×#538C22semidirect
263. C43×#536C22semidirect
264. C43×#533C22semidirect
265. C43×#529C22semidirect
266. C2×#124×C43C22semidirect
1170. #3561D43semidirect
1209. #563C2×D43semidirect
1214. #562C2×D43semidirect
1229. #556C2×D43semidirect
1281. #551C2×D43semidirect
1283. D4×Q8C2×D43semidirect
1287. #548C2×D43semidirect
1302. #546C2×D43semidirect
1308. #543C2×D43semidirect
1317. #542C2×D43semidirect
1318. #542C2×D43semidirect
1350. #538C2×D43semidirect
1353. #536C2×D43semidirect
1360. #533C2×D43semidirect
1397. #529C2×D43semidirect
1404. C2×#124C2×D43semidirect
1440. C43#62828semidirect

Maximal subgroups

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

subgroupindex
#191492922
#191492822
#191492702
#191492462
#191492052
#191491712
#191491262
#191491142
#191490462
#191489452
#191488092
#191487862
#191486972
#191486622
#191486612
#191486562
#191486452
#191486242
#191485892
#191485362
#191485222
#191484502
#191484312
#191483442
#191483282
#191483102
#191482942
#191478922
C2×#145834282
#529×D432
C43×#35612
#6282843