Finite Group Databasebeta

← #25966641

Subgroups — #25966641

Order 11008.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148027C211yesmaximal, characteristic, complemented
2#19148015C211yesmaximal, characteristic, complemented
3#19145325C211yesmaximal, characteristic, complemented
4#19145323C211yesmaximal, characteristic, complemented
5#19145316C211yesmaximal, characteristic, complemented
6#19145308C211yesmaximal, characteristic, complemented
7#19145301C211yesmaximal, characteristic, complemented
8#19145299C211yesmaximal, characteristic, complemented
9#19145295C211yesmaximal, characteristic, complemented
10#19145286C211yesmaximal, characteristic, complemented
11#19145278C211yesmaximal, characteristic, complemented
12#19145276C211yesmaximal, characteristic, complemented
13#19145269C211yesmaximal, characteristic, complemented
14#19145236C211yesmaximal, characteristic, complemented
15#19145228C211yesmaximal, characteristic, complemented
16#19145224C211yesmaximal, characteristic, complemented
17#19145219C211yesmaximal, characteristic, complemented
18#19145130C211yesmaximal, characteristic, complemented
19#19145070C211yesmaximal, characteristic, complemented
20#19144955C211yesmaximal, characteristic, complemented
21#19144948C211yesmaximal, characteristic, complemented
22#19144283C211yesmaximal, characteristic, complemented
23#19144270C211yesmaximal, characteristic, complemented
24#19144266C211yesmaximal, characteristic, complemented
25#19144229C211yesmaximal, characteristic, complemented
26C4×#13063357C211yesmaximal, characteristic, complemented
27C4×#13063352C211yesmaximal, characteristic, complemented
28#19143394C211yesmaximal, characteristic, complemented
29#440×D43C211yesmaximal, characteristic, complemented
30#19143022C211yesmaximal, characteristic, complemented
31C43×#3178C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C2×#13063348C2211yescharacteristic
35C2×SD16×D43C2211yescharacteristic
36C2×#13063333C2211yescharacteristic
37C2×#13063331C2211yescharacteristic
38#14583529C2211yescharacteristic
39#14583526C2211yescharacteristic
40#14583521C2211yescharacteristic
41#14583521C2211yescharacteristic, complemented
42#14583520C2211yescharacteristic, complemented
43#14583519—21no—
44#14583515—21no—
45#14583508—21no—
46#14583507C2211yescharacteristic, complemented
47#14583504C2211yescharacteristic
48#14583501—21no—
49#14583500C2211yescharacteristic
50#14583497—21no—
51#14583490—21no—
52#14583488—21no—
53#14583483—21no—
54#14583479C2211yescharacteristic
55#14583479C2211yescharacteristic
56#14583474C2211yescharacteristic
57#14583472C2211yescharacteristic
58#14583467C2211yescharacteristic
59#14583465C2211yescharacteristic
60#14583455—21no—
61#14583454C2211yescharacteristic, complemented
62#14583451C2211yescharacteristic, complemented
63#14583450C2211yescharacteristic
64#14583448—21no—
65#14583444C2211yescharacteristic
66#14583435C2211yescharacteristic
67#14583435C2211yescharacteristic, complemented
68#14583434—21no—
69#14583434C2211yescharacteristic, complemented
70#14583432—21no—
71#14583432—21no—
72#14583432—21no—
73#14583428C2211yescharacteristic
74#14583412—21no—
75#14583407—21no—
76C4×#10621902C2211yescharacteristic
77C4×#10621902C2211yescharacteristic
78#14583367C2211yescharacteristic
79C4×Q8×D43C2211yescharacteristic
80C4×D4×D43C2211yescharacteristic
81#14583308C2211yescharacteristic, complemented
82#14583307C2211yescharacteristic, complemented
83#14583306C2211yescharacteristic, complemented
84#14583303C2211yescharacteristic, complemented
85#14583302C2211yescharacteristic, complemented
86#14583299C2211yescharacteristic, complemented
87#14583298C2211yescharacteristic, complemented
88#14583292C2211yescharacteristic
89#14583288C2211yescharacteristic
90#14583285C2211yescharacteristic
91#14583284C2211yescharacteristic
92#14583281C2211yescharacteristic
93#14583273C2211yescharacteristic
94#14583270C2211yescharacteristic
95#14583267C2211yescharacteristic, complemented
96#14583266C2211yescharacteristic, complemented
97#14583265C2211yescharacteristic
98#14583262C2211yescharacteristic
99#14583261C2211yescharacteristic, complemented
100#14583260C2211yescharacteristic
101#14583260C2211yescharacteristic, complemented
102#14583258C2211yescharacteristic
103#14583255C2211yescharacteristic
104#14583255C2211yescharacteristic, complemented
105#14583254C2211yescharacteristic, complemented
106#14583248C2211yescharacteristic, complemented
107#14583246C2211yescharacteristic
108#14583244C2211yescharacteristic
109#14583156C2211yescharacteristic, complemented
110#14583152C2211yescharacteristic
111#14583151C2211yescharacteristic
112#14583148C2211yescharacteristic
113#14583148C2211yescharacteristic
114#14583148C2211yescharacteristic, complemented
115#14583148C2211yescharacteristic, complemented
116#14583148C2211yescharacteristic, complemented
117#14583147C2211yescharacteristic
118#14583147C2211yescharacteristic, complemented
119#14583147C2211yescharacteristic, complemented
120#14583145C2211yescharacteristic, complemented
121#14583144C2211yescharacteristic
122#14583143C2211yescharacteristic
123#14583138C2211yescharacteristic, complemented
124#14583137C2211yescharacteristic, complemented
125#14583137C2211yescharacteristic, complemented
126#14583136C2211yescharacteristic
127#14583136C2211yescharacteristic, complemented
128#14583135C2211yescharacteristic, complemented
129#14583133C2211yescharacteristic
130#14583130C2211yescharacteristic
131#14583130C2211yescharacteristic, complemented
132#14583129C2211yescharacteristic
133#14583129C2211yescharacteristic, complemented
134#14583128C2211yescharacteristic
135#14583125C2211yescharacteristic
136#14583125C2211yescharacteristic
137#14583012C2211yescharacteristic, complemented
138#14583010C2211yescharacteristic
139#14583010C2211yescharacteristic, complemented
140#14583008C2211yescharacteristic
141#14583006C2211yescharacteristic, complemented
142#14583006C2211yescharacteristic, complemented
143#14583003C2211yescharacteristic, complemented
144#14583002C2211yescharacteristic
145#14583002C2211yescharacteristic
146#14583002C2211yescharacteristic, complemented
147#14583002C2211yescharacteristic, complemented
148#14583002C2211yescharacteristic, complemented
149#14583001C2211yescharacteristic
150#14583000C2211yescharacteristic
151#14583000C2211yescharacteristic
152#14582999C2211yescharacteristic
153#14582998C2211yescharacteristic
154#14582998C2211yescharacteristic, complemented
155#14582997C2211yescharacteristic
156#14582997C2211yescharacteristic, complemented
157#14582997C2211yescharacteristic, complemented
158#14582996C2211yescharacteristic
159C4×#10621885C2211yescharacteristic, complemented
160C4×#10621873C2211yescharacteristic, complemented
161C4×#10621884C2211yescharacteristic
162C4×#10621884C2211yescharacteristic, complemented
163C4×D344C2211yescharacteristic
164C4×#10621882C2211yescharacteristic
165#14582940C2211yescharacteristic
166#14582938C2211yescharacteristic
167#14582934C2211yescharacteristic
168#107×D43C2211yescharacteristic
169#14582906C2211yescharacteristic
170#14582902C2211yescharacteristic
171#14582899C2211yescharacteristic
172#14582899C2211yescharacteristic
173#14582894C2211yescharacteristic
174#14582894C2211yescharacteristic
175#103×D43C2211yescharacteristic
176#102×D43C2211yescharacteristic
177#14582856C2211yescharacteristic
178#14582856C2211yescharacteristic, complemented
179#14582855C2211yescharacteristic, complemented
180#14582853C2211yescharacteristic
181#14582853C2211yescharacteristic, complemented
182M16×Dic43C2211yescharacteristic, complemented
183C4×#10621872C2211yescharacteristic
184C4×#10621872C2211yescharacteristic, complemented
185C2×#13063235C2211yescharacteristic, complemented
186#97×D43C2211yescharacteristic
187#97×D43C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic
189C43×#541C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#497C2211yescharacteristic
192C43×#488C2211yescharacteristic
193C43×#487C2211yescharacteristic, complemented
194C43×#470C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic
196C43×#467C2211yescharacteristic, complemented
197C43×#465C2211yescharacteristic
198C43×#441C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic
200C4×Q16×C43C2211yescharacteristic, complemented
201C4×SD16×C43C2211yescharacteristic
202C43×#405C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621902C2311yescharacteristic
206C2×#10621898C2311yescharacteristic
207C2×#10621900—21no—
208C2×Q8×D43C2311yescharacteristic
209C2×D4×D43C2311yescharacteristic
210C22×C4×D43—21no—
211#13063357—24no—
212#13063352—24no—
213#13063348—24no—
214C2×#10621885C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621884C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223SD16×D43—24no—
224C2×D344C2311yescharacteristic
225C2×D344C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227#13063333—24no—
228#13063331—24no—
229C2×#10621877C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233C2×#10621872C2311yescharacteristic
234C22×C43⋊C8C2311yescharacteristic
235C2×C8×D43C2311yescharacteristic
236C2×C8×D43C2311yescharacteristic
237C2×C8×D43C2311yescharacteristic
238C2×C8×D43C2311yescharacteristic
239#13063325C2311yescharacteristic
240#13063324—21no—
241#13063324—21no—
242#13063324C2311yescharacteristic
243#13063324C2311yescharacteristic
244#13063323—21no—
245#13063323C2311yescharacteristic
246#13063322C2311yescharacteristic
247#13063321—21no—
248#13063321C2311yescharacteristic
249#13063320—21no—
250#13063320—21no—
251#13063320—21no—
252#13063320—21no—
253#13063320—21no—
254#13063319—21no—
255#13063319—21no—
256#13063319—21no—
257#13063318—21no—
258#13063317—21no—
259#13063317C2311yescharacteristic
260#13063316—21no—
261#13063316C2311yescharacteristic
262#13063316C2311yescharacteristic
263#13063315—21no—
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063314—21no—
268#13063314C2311yescharacteristic
269#13063314C2311yescharacteristic
270#13063313—21no—
271#13063313—21no—
272#13063313C2311yescharacteristic
273#13063311—21no—
274#13063311—21no—
275#13063311—21no—
276#13063311—21no—
277#13063310—21no—
278#13063310—21no—
279#13063310—21no—
280#13063310—21no—
281#13063310—21no—
282#13063310—21no—
283#13063310—21no—
284#13063310—21no—
285#13063309—21no—
286#13063309—21no—
287#13063308—21no—
288#13063307—21no—
289#13063307—21no—
290#13063307—21no—
291#13063307—21no—
292#13063305—21no—
293#13063305—21no—
294#13063305C2311yescharacteristic
295#13063304C2311yescharacteristic
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063303—21no—
301#13063303—21no—
302#13063303—21no—
303#13063303—21no—
304#13063303—21no—
305#13063302—21no—
306#13063301—21no—
307#13063301C2311yescharacteristic
308#13063301C2311yescharacteristic
309#13063301C2311yescharacteristic
310#13063300—21no—
311#13063300—21no—
312#13063300—21no—
313#13063300C2311yescharacteristic
314#13063300C2311yescharacteristic
315#13063300C2311yescharacteristic
316#13063299—21no—
317#13063299C2311yescharacteristic
318#13063299C2311yescharacteristic
319#13063299C2311yescharacteristic
320#13063298—21no—
321#13063298—21no—
322#13063298—21no—
323#13063298—21no—
324#13063298—21no—
325#13063298—21no—
326#13063298—21no—
327#13063298—21no—
328#13063298—21no—
329#13063297—21no—
330#13063296C2311yescharacteristic
331#13063295—21no—
332#13063295—21no—
333#13063295—21no—
334#13063293—21no—
335Q8×Dic43C2311yescharacteristic
336Q8×Dic43C2311yescharacteristic
337Q8×Dic43C2311yescharacteristic
338C4×Dic86—21no—
339C4×Dic86C2311yescharacteristic
340#13063290—21no—
341#13063290—21no—
342#13063290—21no—
343#13063290D411yescharacteristic
344#13063290D411yescharacteristic
345#13063290C2311yescharacteristic
346C4×D172—21no—
347C4×D172—21no—
348C4×D172C2311yescharacteristic
349C4×D172C2311yescharacteristic
350C4×D172C2311yescharacteristic
351D4×Dic43C2311yescharacteristic
352#13063287—21no—
353#13063287—21no—
354#13063287—21no—
355#13063287—21no—
356#13063287D411yescharacteristic
357#13063287D411yescharacteristic
358#13063287C2311yescharacteristic
359#13063287C2311yescharacteristic
360#13063287C2311yescharacteristic
361C4×C22⋊D43—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366(C22⋊D43)⋊C4—21no—
367(C22⋊D43)⋊C4D411yescharacteristic
368(C22⋊D43)⋊C4D411yescharacteristic
369(C22⋊D43)⋊C4D411yescharacteristic
370(C22⋊D43)⋊C4D411yescharacteristic
371#13063283—21no—
372#13063283—21no—
373#13063283—21no—
374#13063283—21no—
375#13063283—21no—
376#13063283—21no—
377#13063283C2311yescharacteristic
378#13063283C2311yescharacteristic
379#13063282C2311yescharacteristic
380#13063282C2311yescharacteristic
381#13063281—21no—
382#13063281—21no—
383C4⋊C4×D43—21no—
384C4⋊C4×D43C2311yescharacteristic
385C4⋊C4×D43C2311yescharacteristic
386C22⋊C4×D43—21no—
387C2×C4×Dic43C2311yescharacteristic
388C42×D43—21no—
389C42×D43—21no—
390C42×D43—21no—
391C42×D43C2311yescharacteristic
392C42×D43C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063258C2311yescharacteristic
400#13063258C2311yescharacteristic
401#13063257C2311yescharacteristic
402#13063257C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435#13063235C2311yescharacteristic
436#13063235C2311yescharacteristic
437C4×C43⋊C8C2311yescharacteristic
438C4×C43⋊C8C2311yescharacteristic
439C8×Dic43C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C2×Q16×C43C2311yescharacteristic
442C2×Q16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C2×M16×C43C2311yescharacteristic
446C22×C8×C43C2311yescharacteristic
447C4⋊Q8×C43C2311yescharacteristic
448C4⋊Q8×C43C2311yescharacteristic
449#126×C43—21no—
450#126×C43—21no—
451#126×C43—21no—
452#125×C43—21no—
453#125×C43—21no—
454#125×C43C2311yescharacteristic
455#124×C43—21no—
456#124×C43C2311yescharacteristic
457#123×C43—21no—
458C22⋊Q8×C43—21no—
459C22⋊Q8×C43C2311yescharacteristic
460C22⋊Q8×C43C2311yescharacteristic
461C22⋊Q8×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463C4×Q8×C43C2311yescharacteristic
464C4×Q8×C43C2311yescharacteristic
465C4×Q8×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467#117×C43C2311yescharacteristic
468#107×C43C2311yescharacteristic
469#107×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471#106×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481#97×C43C2311yescharacteristic
482C4×C8×C43C2311yescharacteristic
483C4×C8×C43C2311yescharacteristic
484C23×D43—21no—
485C2×Q8×C43—21no—
486C2×Q8×C43C2411yescharacteristic
487C2×Q8×C43C2411yescharacteristic
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43C2411yescharacteristic
491C22×C4×C43—21no—
492C22×C4×C43C2411yescharacteristic
493C2×C22⋊D43—21no—
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43C2×D411yescharacteristic
501C2×C22⋊D43C2×D411yescharacteristic
502C22×Dic43—21no—
503C22×Dic43C2×D411yescharacteristic
504C22×Dic43C2×D411yescharacteristic
505#10621902—22no—
506#10621902—22no—
507#10621902—22no—
508#10621902—22no—
509#10621902—82no—
510Q8×D43—22no—
511Q8×D43—22no—
512#10621900—82no—
513D4×D43—22no—
514D4×D43—22no—
515#10621898—22no—
516#10621898—22no—
517C2×D172—21no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172—21no—
523C2×D172—21no—
524C2×D172C2×D411yescharacteristic
525C2×D172C2411yescharacteristic
526C2×D172C2411yescharacteristic
527C2×D172C2411yescharacteristic
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—82no—
540C2×C4×D43C2×D411yescharacteristic
541C2×C4×D43C2×D411yescharacteristic
542C2×C4×D43C2×D411yescharacteristic
543C2×C4×D43C2×D411yescharacteristic
544C2×C4×D43C2411yescharacteristic
545C2×C4×D43C2411yescharacteristic
546C2×Dic86—21no—
547C2×Dic86—21no—
548C2×Dic86—21no—
549C2×Dic86—21no—
550C2×Dic86C2×D411yescharacteristic
551C2×Dic86C2411yescharacteristic
552Q16×C43—22no—
553Q16×C43—22no—
554SD16×C43—22no—
555SD16×C43—22no—
556M16×C43—22no—
557C2×C8×C43—22no—
558C2×C8×C43C2411yescharacteristic
559C2×C8×C43C2411yescharacteristic
560C2×C8×C43C2411yescharacteristic
561C2×C8×C43C2411yescharacteristic
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43—21no—
568C4⋊C4×C43—21no—
569C4⋊C4×C43—21no—
570C4⋊C4×C43—21no—
571C4⋊C4×C43—21no—
572C4⋊C4×C43—21no—
573C4⋊C4×C43C2×D411yescharacteristic
574C4⋊C4×C43C2×D411yescharacteristic
575C4⋊C4×C43C2411yescharacteristic
576C4⋊C4×C43C2411yescharacteristic
577C4⋊C4×C43C2411yescharacteristic
578C4⋊C4×C43C2411yescharacteristic
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C22⋊C4×C43—21no—
585C22⋊C4×C43—21no—
586C22⋊C4×C43C2×D411yescharacteristic
587C22⋊C4×C43C2×D411yescharacteristic
588C42×C43—21no—
589C42×C43—21no—
590C42×C43—21no—
591C42×C43C2411yescharacteristic
592C42×C43C2411yescharacteristic
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596#10621885—22no—
597#10621884—22no—
598#10621884—22no—
599#10621884—22no—
600#10621884—22no—
601#10621884—22no—
602#10621883—22no—
603#10621882—22no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4C2×D411yescharacteristic
629(C2×D43)⋊C4C2×D411yescharacteristic
630(C2×D43)⋊C4C2×D411yescharacteristic
631(C2×D43)⋊C4C2×D411yescharacteristic
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43—21no—
636C4⋊Dic43—21no—
637C4⋊Dic43—21no—
638C4⋊Dic43—21no—
639C4⋊Dic43C2411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641C4⋊Dic43C2411yescharacteristic
642C4⋊Dic43C2411yescharacteristic
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2×D411yescharacteristic
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2×D411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678#10621877—22no—
679C2×C43⋊C8—22no—
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684D344—22no—
685D344—22no—
686#10621873—22no—
687#10621873—22no—
688#10621872—22no—
689#10621872—22no—
690#10621872—22no—
691#10621872#4114yescomplemented
692C8×D43—22no—
693C8×D43—22no—
694C8×D43—22no—
695C8×D43#4114yescomplemented
696C23×C43—21no—
697C23×C43C22×D411yescharacteristic
698C22×D43—21no—
699C22×D43—21no—
700C22×D43—21no—
701C22×D43—42no—
702C22×D43—81no—
703C22×D43—81no—
704C22×D43C22×D411yescharacteristic
705C22×D43C22×D411yescharacteristic
706Q8×C43—21no—
707Q8×C43—21no—
708Q8×C43—21no—
709Q8×C43—21no—
710Q8×C43—21no—
711Q8×C43—21no—
712Q8×C43—81no—
713D4×C43—21no—
714D4×C43—21no—
715D4×C43—81no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—81no—
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C2511yescharacteristic
732C22⋊D43—22no—
733C22⋊D43—22no—
734C22⋊D43—42no—
735C22⋊D43—81no—
736C22⋊D43—81no—
737C22⋊D43—81no—
738C22⋊D43—81no—
739C22⋊D43—81no—
740C22⋊D43—81no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—41no—
747C2×Dic43—41no—
748C2×Dic43—42no—
749C2×Dic43C22×D411yescharacteristic
750C2×Dic43C22×D411yescharacteristic
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753C2×Dic43C22×D411yescharacteristic
754C2×Dic43C22×D411yescharacteristic
755D172—22no—
756D172—21no—
757D172—21no—
758D172—21no—
759D172—21no—
760D172—21no—
761D172—21no—
762D172—42no—
763D172—42no—
764D172—81no—
765D172—81no—
766D172—81no—
767D172—81no—
768D172—81no—
769C4×D43—21no—
770C4×D43—21no—
771C4×D43—41no—
772C4×D43—41no—
773C4×D43—41no—
774C4×D43—41no—
775C4×D43—42no—
776C4×D43—42no—
777C4×D43—42no—
778C4×D43—42no—
779C4×D43—42no—
780C4×D43—42no—
781C4×D43—81no—
782C4×D43—81no—
783C4×D43—81no—
784C4×D43—81no—
785C4×D43—81no—
786C4×D43C2×#4112yes—
787C4×D43C2×#4112yes—
788Dic86—22no—
789Dic86—21no—
790Dic86—21no—
791Dic86—42no—
792Dic86—81no—
793Dic86—81no—
794Dic86—81no—
795C8×C43—21no—
796C8×C43—21no—
797C8×C43C2×#4112yes—
798C8×C43C2×#4112yes—
799C43⋊C8—21no—
800C43⋊C8—21no—
801C43⋊C8C2×#4112yes—
802C43⋊C8C2×#4112yes—
803#60697—431nomaximal, Sylow
804C22×C43—21no—
805C22×C43—21no—
806C22×C43—21no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43C23×D411yescharacteristic
811C2×D43—21no—
812C2×D43—21no—
813C2×D43—21no—
814C2×D43—21no—
815C2×D43—21no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—41no—
821C2×D43—41no—
822C2×D43—41no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—84no—
826C2×D43#53212yes—
827C4×C43—21no—
828C4×C43—21no—
829C4×C43—21no—
830C4×C43—21no—
831C4×C43—21no—
832C4×C43—41no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43—41no—
838C4×C43—41no—
839C4×C43C22×#4111yescharacteristic
840C4×C43C22×#4111yescharacteristic
841Dic43—21no—
842Dic43—21no—
843Dic43—21no—
844Dic43—21no—
845Dic43—21no—
846Dic43—41no—
847Dic43—41no—
848Dic43—41no—
849Dic43—41no—
850Dic43—41no—
851Dic43#53212yes—
852#3461—431no—
853#3460—431no—
854#3183—431no—
855#3183—431no—
856#3182—431no—
857#3182—431no—
858#3181—431no—
859#3181—431no—
860#3180—431no—
861#3180—431no—
862#3179—431no—
863#3179—431no—
864#3178—431no—
865#3178D4311yescharacteristic, complemented
866#3175—431no—
867#3175—431no—
868#3174—431no—
869#3174—431no—
870#3164—431no—
871#3154—431no—
872#3137—431no—
873#3136—431no—
874#3063—431no—
875#3062—431no—
876#3061—431no—
877#3057—431no—
878C4×#137—431no—
879C4×AGL(1,ℤ/8)—431no—
880#2943—431no—
881C2×#440—431no—
882#2875—431no—
883C2×C43—41no—
884C2×C43—81no—
885C2×C43C2×#53211yescharacteristic
886C2×C43#358511yescharacteristic
887C2×C43#358611yescharacteristic
888D43—22no—
889D43—41no—
890D43—81no—
891D43—81no—
892D43—81no—
893C2×#137—431no—
894C2×AGL(1,ℤ/8)—431no—
895C2×#135—431no—
896C22×SD16—431no—
897C2×#131—431no—
898C2×#131—431no—
899#544—431no—
900#544—431no—
901#542—431no—
902#542—431no—
903#542—431no—
904#542—861no—
905#542—861no—
906#542C2×D4311yescharacteristic
907#541—431no—
908#541—861no—
909#541C2×D4311yescharacteristic, complemented
910#540—431no—
911#540—431no—
912#540—861no—
913#539—861no—
914#539—861no—
915#538—861no—
916#538—861no—
917#537—431no—
918#537—431no—
919#536—431no—
920#536—431no—
921#535—431no—
922#535—431no—
923#533—431no—
924#533—431no—
925#533—861no—
926#532—431no—
927#532—431no—
928#532—861no—
929#529—431no—
930#529—431no—
931#529—431no—
932#529—431no—
933#529—861no—
934#529—861no—
935#529—861no—
936#529—861no—
937#525—861no—
938#525—861no—
939C4×#41—431no—
940C4×#41—431no—
941C4×#41—431no—
942C2×C4×Q8—431no—
943C2×C4×D4—431no—
944#501—431no—
945#501—431no—
946#501—431no—
947#501C2×D4311yescharacteristic, complemented
948#500—431no—
949#500—431no—
950#499—431no—
951#499—431no—
952#497—431no—
953#497C2×D4311yescharacteristic
954#496—431no—
955#496—431no—
956#495—431no—
957#495—431no—
958#492—431no—
959#492—431no—
960#491—431no—
961#491—431no—
962#490—431no—
963#490—431no—
964#489—431no—
965#489—431no—
966#489—431no—
967#489—431no—
968#488—431no—
969#488—431no—
970#488—431no—
971#488C2×D4311yescharacteristic
972#487—431no—
973#487C2×D4311yescharacteristic, complemented
974#486—431no—
975#486—431no—
976#470—431no—
977#470C2×D4311yescharacteristic, complemented
978#469—431no—
979#469—431no—
980#468—431no—
981#468—431no—
982#468—431no—
983#468—431no—
984#468—431no—
985#468—431no—
986#468—431no—
987#468—431no—
988#468—431no—
989#468—431no—
990#468—431no—
991#468C2×D4311yescharacteristic
992#467—431no—
993#467—431no—
994#467—431no—
995#467C2×D4311yescharacteristic, complemented
996#466—431no—
997#466—431no—
998#466—431no—
999#466—431no—
1000#465—431no—
1001#465—431no—
1002#465—431no—
1003#465—431no—
1004#465—431no—
1005#465—431no—
1006#465—431no—
1007#465C2×D4311yescharacteristic
1008#442—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#441—431no—
1013#441—431no—
1014#441—431no—
1015#441C2×D4311yescharacteristic, complemented
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—431no—
1025#440—431no—
1026#440—431no—
1027#440—431no—
1028#440—431no—
1029#440—431no—
1030#440—431no—
1031#440C2×D4311yescharacteristic
1032C4×Q16—431no—
1033C4×Q16C2×D4311yescharacteristic, complemented
1034C4×SD16—431no—
1035C4×SD16—431no—
1036C4×SD16—431no—
1037C4×SD16C2×D4311yescharacteristic
1038C4×D8—431no—
1039C4×D8—431no—
1040#428—431no—
1041#428—431no—
1042#427—431no—
1043C2×#107—431no—
1044#419—431no—
1045#418—431no—
1046#417—431no—
1047#417—431no—
1048#416—431no—
1049#416—431no—
1050C2×#103—431no—
1051C2×#102—431no—
1052#405—431no—
1053#405—431no—
1054#405—431no—
1055#405—431no—
1056#405—431no—
1057#405C2×D4311yescharacteristic, complemented
1058C4×M16—431no—
1059C4×M16—431no—
1060C4×M16—431no—
1061C2×#97—431no—
1062C2×#97—431no—
1063C2×#97—431no—
1064C43#6069711yescharacteristic, complemented, Sylow
1065C2×#41—431no—
1066C2×#41—431no—
1067C2×#41—431no—
1068C2×#41—861no—
1069C2×#41—861no—
1070C22×Q8—431no—
1071C22×D4—431no—
1072C23×C4—861no—
1073#137—864no—
1074AGL(1,ℤ/8)—864no—
1075#135—864no—
1076C2×Q16—431no—
1077C2×Q16C22×D4311yescharacteristic
1078C2×Q16C22×D4311yescharacteristic
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16—431no—
1083C2×SD16—431no—
1084C2×SD16—431no—
1085C2×SD16—431no—
1086C2×SD16—431no—
1087C2×SD16—864no—
1088C2×SD16C22×D4311yescharacteristic
1089C2×SD16C22×D4311yescharacteristic
1090C2×D8—431no—
1091C2×D8—431no—
1092C2×D8—431no—
1093#131—864no—
1094#131—864no—
1095C2×M16—431no—
1096C2×M16—431no—
1097C2×M16—431no—
1098C2×M16—431no—
1099C2×M16—431no—
1100C2×M16C22×D4311yescharacteristic
1101C22×C8—431no—
1102C22×C8—431no—
1103C22×C8—431no—
1104C22×C8—431no—
1105C22×C8—431no—
1106C22×C8C22×D4311yescharacteristic
1107C4⋊Q8—431no—
1108C4⋊Q8—431no—
1109C4⋊Q8—431no—
1110C4⋊Q8—431no—
1111C4⋊Q8—861no—
1112C4⋊Q8—861no—
1113C4⋊Q8—861no—
1114C4⋊Q8C22×D4311yescharacteristic
1115C4⋊Q8C22×D4311yescharacteristic
1116#127—431no—
1117#127—431no—
1118#127—861no—
1119#126—21no—
1120#126—21no—
1121#126—21no—
1122#126—861no—
1123#126—861no—
1124#126—861no—
1125#126—861no—
1126#126—861no—
1127#126—861no—
1128#126—861no—
1129#126—861no—
1130#126—861no—
1131#125—21no—
1132#125—21no—
1133#125—431no—
1134#125—431no—
1135#125—431no—
1136#125—861no—
1137#125—861no—
1138#125—861no—
1139#125—861no—
1140#125—861no—
1141#125—861no—
1142#125C22×D4311yescharacteristic
1143#124—21no—
1144#124—431no—
1145#124—431no—
1146#124—431no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124C22×D4311yescharacteristic
1155#123—21no—
1156#123—861no—
1157#123—861no—
1158#123—861no—
1159#123—861no—
1160#123—861no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171C22⋊Q8—21no—
1172C22⋊Q8—431no—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—431no—
1176C22⋊Q8—431no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8—861no—
1190C22⋊Q8C22×D4311yescharacteristic
1191C22⋊Q8C22×D4311yescharacteristic
1192C22⋊Q8C22×D4311yescharacteristic
1193#121—431no—
1194#121—431no—
1195#121—431no—
1196#121—431no—
1197#121—431no—
1198#121—431no—
1199#121—431no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121—861no—
1213#121—861no—
1214#121C22×D4311yescharacteristic
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219C4×Q8—431no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—431no—
1226C4×Q8—861no—
1227C4×Q8—861no—
1228C4×Q8—861no—
1229C4×Q8—861no—
1230C4×Q8C22×D4311yescharacteristic
1231C4×Q8C22×D4311yescharacteristic
1232C4×Q8C22×D4311yescharacteristic
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—431no—
1245C4×D4—431no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4C22×D4311yescharacteristic
1259#117—431no—
1260#117—431no—
1261#117—431no—
1262#117—431no—
1263#117—861no—
1264#117—861no—
1265#117—861no—
1266#117—861no—
1267#117—861no—
1268#117—861no—
1269#117—861no—
1270#117—861no—
1271#117C22×D4311yescharacteristic
1272C2×C4⋊C4—431no—
1273C2×C4⋊C4—431no—
1274C2×C4⋊C4—861no—
1275C2×C22⋊C4—861no—
1276C2×C42—431no—
1277C2×C42—431no—
1278C2×C42—431no—
1279C2×C42—861no—
1280C2×C42—861no—
1281C2×C42—861no—
1282#107—431no—
1283#107—431no—
1284#107—431no—
1285#107—431no—
1286#107—431no—
1287#107—431no—
1288#107—431no—
1289#107—431no—
1290#107C22×D4311yescharacteristic
1291#107C22×D4311yescharacteristic
1292#106—431no—
1293#106—431no—
1294#106—431no—
1295#106—431no—
1296#106C22×D4311yescharacteristic
1297#106C22×D4311yescharacteristic
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103—431no—
1302#103—431no—
1303#103—431no—
1304#103—431no—
1305#103—431no—
1306#103—431no—
1307#103—431no—
1308#103C22×D4311yescharacteristic
1309#103C22×D4311yescharacteristic
1310#103C22×D4311yescharacteristic
1311#103C22×D4311yescharacteristic
1312#103C22×D4311yescharacteristic
1313#103C22×D4311yescharacteristic
1314#102—431no—
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102—431no—
1320#102—431no—
1321#102—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102C22×D4311yescharacteristic
1329#102C22×D4311yescharacteristic
1330#97—431no—
1331#97—431no—
1332#97—431no—
1333#97—431no—
1334#97—431no—
1335#97—431no—
1336#97—431no—
1337#97—431no—
1338#97C22×D4311yescharacteristic
1339#97C22×D4311yescharacteristic
1340C4×C8—431no—
1341C4×C8—431no—
1342C4×C8—431no—
1343C4×C8—431no—
1344C4×C8C22×D4311yescharacteristic
1345C4×C8C22×D4311yescharacteristic
1346C24—861no—
1347#41—862no—
1348#41—862no—
1349#41—862no—
1350#41—862no—
1351#41—862no—
1352#41—862no—
1353#41—3442no—
1354#41—3442no—
1355C2×Q8—21no—
1356C2×Q8—431no—
1357C2×Q8—431no—
1358C2×Q8—861no—
1359C2×Q8—861no—
1360C2×Q8—861no—
1361C2×Q8—862no—
1362C2×Q8—862no—
1363C2×Q8—861no—
1364C2×Q8C23×D4311yescharacteristic
1365C2×Q8C23×D4311yescharacteristic
1366C2×Q8C23×D4311yescharacteristic
1367C2×D4—21no—
1368C2×D4—431no—
1369C2×D4—431no—
1370C2×D4—431no—
1371C2×D4—431no—
1372C2×D4—431no—
1373C2×D4—431no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—861no—
1379C2×D4—862no—
1380C2×D4—862no—
1381C2×D4—861no—
1382C2×D4—861no—
1383C2×D4—861no—
1384C2×D4—861no—
1385C2×D4—861no—
1386C2×D4—861no—
1387C2×D4—861no—
1388C2×D4—861no—
1389C2×D4—861no—
1390C2×D4C23×D4311yescharacteristic
1391C22×C4—21no—
1392C22×C4—431no—
1393C22×C4—431no—
1394C22×C4—431no—
1395C22×C4—431no—
1396C22×C4—431no—
1397C22×C4—431no—
1398C22×C4—431no—
1399C22×C4—431no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—861no—
1405C22×C4—861no—
1406C22×C4—861no—
1407C22×C4—861no—
1408C22×C4—861no—
1409C22×C4—861no—
1410C22×C4—861no—
1411C22×C4—861no—
1412C22×C4—3442no—
1413C22×C4C23×D4311yescharacteristic
1414Q16—22no—
1415Q16—22no—
1416Q16—862no—
1417SD16—22no—
1418SD16—22no—
1419SD16—862no—
1420SD16—862no—
1421SD16—862no—
1422SD16—862no—
1423SD16—862no—
1424SD16—862no—
1425SD16—862no—
1426SD16—862no—
1427D8—862no—
1428D8—862no—
1429D8—862no—
1430M16—22no—
1431M16—434no—
1432M16—862no—
1433M16—862no—
1434M16—862no—
1435M16—862no—
1436C2×C8—22no—
1437C2×C8—431no—
1438C2×C8—431no—
1439C2×C8—434no—
1440C2×C8—431no—
1441C2×C8—431no—
1442C2×C8—862no—
1443C2×C8—862no—
1444C2×C8—862no—
1445C2×C8—862no—
1446C2×C8C23×D4311yescharacteristic
1447C2×C8C23×D4311yescharacteristic
1448C2×C8C23×D4311yescharacteristic
1449C2×C8C23×D4311yescharacteristic
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—431no—
1462C4⋊C4—431no—
1463C4⋊C4—431no—
1464C4⋊C4—431no—
1465C4⋊C4—431no—
1466C4⋊C4—431no—
1467C4⋊C4—431no—
1468C4⋊C4—431no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4—861no—
1482C4⋊C4—861no—
1483C4⋊C4—861no—
1484C4⋊C4—861no—
1485C4⋊C4—861no—
1486C4⋊C4—861no—
1487C4⋊C4—861no—
1488C4⋊C4—861no—
1489C4⋊C4—861no—
1490C4⋊C4—861no—
1491C4⋊C4—861no—
1492C4⋊C4D4×D4311yescharacteristic
1493C4⋊C4D4×D4311yescharacteristic
1494C4⋊C4C23×D4311yescharacteristic
1495C4⋊C4C23×D4311yescharacteristic
1496C4⋊C4C23×D4311yescharacteristic
1497C4⋊C4C23×D4311yescharacteristic
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—431no—
1506C22⋊C4—431no—
1507C22⋊C4—431no—
1508C22⋊C4—431no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4D4×D4311yescharacteristic
1537C22⋊C4D4×D4311yescharacteristic
1538C42—21no—
1539C42—21no—
1540C42—21no—
1541C42—431no—
1542C42—431no—
1543C42—431no—
1544C42—431no—
1545C42—431no—
1546C42—431no—
1547C42—431no—
1548C42—431no—
1549C42—861no—
1550C42—861no—
1551C42—861no—
1552C42—861no—
1553C42—861no—
1554C42—861no—
1555C42—861no—
1556C42C23×D4311yescharacteristic
1557C42C23×D4311yescharacteristic
1558C23—21no—
1559C23—431no—
1560C23—431no—
1561C23—861no—
1562C23—861no—
1563C23—861no—
1564C23—3441no—
1565C23—3441no—
1566C23—1722no—
1567C23C2×D4×D4311yescharacteristic
1568Q8—21no—
1569Q8—21no—
1570Q8—21no—
1571Q8—21no—
1572Q8—21no—
1573Q8—21no—
1574Q8—81no—
1575Q8—862no—
1576Q8—861no—
1577Q8—861no—
1578Q8—3441no—
1579Q8—3441no—
1580Q8—3441no—
1581Q8—1722no—
1582D4—21no—
1583D4—21no—
1584D4—81no—
1585D4—862no—
1586D4—862no—
1587D4—862no—
1588D4—861no—
1589D4—861no—
1590D4—861no—
1591D4—861no—
1592D4—861no—
1593D4—861no—
1594D4—3441no—
1595D4—3441no—
1596D4—3441no—
1597D4—3441no—
1598D4—3441no—
1599D4—3441no—
1600D4—3441no—
1601D4—3441no—
1602D4—3441no—
1603D4—3441no—
1604D4—3441no—
1605D4—1722no—
1606D4—1722no—
1607D4—1722no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—81no—
1618C2×C4—431no—
1619C2×C4—432no—
1620C2×C4—432no—
1621C2×C4—431no—
1622C2×C4—431no—
1623C2×C4—431no—
1624C2×C4—431no—
1625C2×C4—431no—
1626C2×C4—861no—
1627C2×C4—861no—
1628C2×C4—861no—
1629C2×C4—861no—
1630C2×C4—861no—
1631C2×C4—861no—
1632C2×C4—861no—
1633C2×C4—3441no—
1634C2×C4—3441no—
1635C2×C4—3441no—
1636C2×C4—3441no—
1637C2×C4—3441no—
1638C2×C4—1721no—
1639C2×C4—1721no—
1640C2×C4—1721no—
1641C2×C4—1721no—
1642C2×C4—1722no—
1643C2×C4—1722no—
1644C2×C4—1722no—
1645C2×C4—1722no—
1646C2×C4—1722no—
1647C2×C4—1722no—
1648C2×C4—1721no—
1649C2×C4—1721no—
1650C2×C4—1722no—
1651C2×C4C2×D4×D4311yescharacteristic
1652C2×C4C2×D4×D4311yescharacteristic
1653C2×C4C2×D4×D4311yescharacteristic
1654C2×C4C2×D4×D4311yescharacteristic
1655C2×C4C2×D4×D4311yescharacteristic
1656C2×C4C24×D4311yescharacteristic
1657C8—21no—
1658C8—21no—
1659C8—432no—
1660C8—432no—
1661C8—861no—
1662C8—861no—
1663C8#41×D4312yes—
1664C8#41×D4312yes—
1665C22—21no—
1666C22—21no—
1667C22—21no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—432no—
1672C22—861no—
1673C22—861no—
1674C22—861no—
1675C22—861no—
1676C22—861no—
1677C22—3444no—
1678C22—1721no—
1679C22—1721no—
1680C22—1721no—
1681C22—1721no—
1682C22—1721no—
1683C22—1721no—
1684C22—1721no—
1685C22—1721no—
1686C22—1721no—
1687C22C22×D4×D4311yescharacteristic
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—432no—
1701C4—861no—
1702C4—861no—
1703C4—861no—
1704C4—861no—
1705C4—861no—
1706C4—1721no—
1707C4—1721no—
1708C4—1721no—
1709C4—1721no—
1710C4—1721no—
1711C4C2×#41×D4311yescharacteristic
1712C4C2×#41×D4311yescharacteristic
1713C2—41no—
1714C2—81no—
1715C2—862no—
1716C2—3441no—
1717C2—3441no—
1718C2—3441no—
1719C2—1721no—
1720C2#532×D4311yescharacteristic
1721C2#1914937311yescharacteristic
1722C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3178C2
socleC22×C43C23×D4
hypercenter#3178D43
hypocenterC43#60697
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3178

Complements

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

NH ≅ G/Ntype
1. #19148027C2semidirect
2. #19148015C2semidirect
3. #19145325C2semidirect
4. #19145323C2semidirect
5. #19145316C2semidirect
6. #19145308C2semidirect
7. #19145301C2semidirect
8. #19145299C2semidirect
9. #19145295C2semidirect
10. #19145286C2semidirect
11. #19145278C2semidirect
12. #19145276C2semidirect
13. #19145269C2semidirect
14. #19145236C2semidirect
15. #19145228C2semidirect
16. #19145224C2semidirect
17. #19145219C2semidirect
18. #19145130C2semidirect
19. #19145070C2semidirect
20. #19144955C2semidirect
21. #19144948C2semidirect
22. #19144283C2semidirect
23. #19144270C2semidirect
24. #19144266C2semidirect
25. #19144229C2semidirect
26. C4×#13063357C2semidirect
27. C4×#13063352C2semidirect
28. #19143394C2semidirect
29. #440×D43C2semidirect
30. #19143022C2semidirect
31. C43×#3178C2semidirect
41. #14583521C22semidirect
42. #14583520C22semidirect
46. #14583507C22semidirect
61. #14583454C22semidirect
62. #14583451C22semidirect
67. #14583435C22semidirect
69. #14583434C22semidirect
81. #14583308C22semidirect
82. #14583307C22semidirect
83. #14583306C22semidirect
84. #14583303C22semidirect
85. #14583302C22semidirect
86. #14583299C22semidirect
87. #14583298C22semidirect
95. #14583267C22semidirect
96. #14583266C22semidirect
99. #14583261C22semidirect
101. #14583260C22semidirect
104. #14583255C22semidirect
105. #14583254C22semidirect
106. #14583248C22semidirect
109. #14583156C22semidirect
114. #14583148C22semidirect
115. #14583148C22semidirect
116. #14583148C22semidirect
118. #14583147C22semidirect
119. #14583147C22semidirect
120. #14583145C22semidirect
123. #14583138C22semidirect
124. #14583137C22semidirect
125. #14583137C22semidirect
127. #14583136C22semidirect
128. #14583135C22semidirect
131. #14583130C22semidirect
133. #14583129C22semidirect
137. #14583012C22semidirect
139. #14583010C22semidirect
141. #14583006C22semidirect
142. #14583006C22semidirect
143. #14583003C22semidirect
146. #14583002C22semidirect
147. #14583002C22semidirect
148. #14583002C22semidirect
154. #14582998C22semidirect
156. #14582997C22semidirect
157. #14582997C22semidirect
159. C4×#10621885C22semidirect
160. C4×#10621873C22semidirect
162. C4×#10621884C22semidirect
178. #14582856C22semidirect
179. #14582855C22semidirect
181. #14582853C22semidirect
182. M16×Dic43C22semidirect
184. C4×#10621872C22semidirect
185. C2×#13063235C22semidirect
187. #97×D43C22semidirect
189. C43×#541C22semidirect
190. C43×#501C22semidirect
193. C43×#487C22semidirect
194. C43×#470C22semidirect
196. C43×#467C22semidirect
198. C43×#441C22semidirect
200. C4×Q16×C43C22semidirect
202. C43×#405C22semidirect
691. #10621872#41semidirect
695. C8×D43#41semidirect
865. #3178D43semidirect
909. #541C2×D43semidirect
947. #501C2×D43semidirect
973. #487C2×D43semidirect
977. #470C2×D43semidirect
995. #467C2×D43semidirect
1015. #441C2×D43semidirect
1033. C4×Q16C2×D43semidirect
1057. #405C2×D43semidirect
1064. C43#60697semidirect

Maximal subgroups

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

subgroupindex
#191480272
#191480152
#191453252
#191453232
#191453162
#191453082
#191453012
#191452992
#191452952
#191452862
#191452782
#191452762
#191452692
#191452362
#191452282
#191452242
#191452192
#191451302
#191450702
#191449552
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C43×#31782
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