Finite Group Databasebeta

← #25966664

Subgroups — #25966664

Order 11008.

1970 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148015C211yesmaximal, characteristic, complemented
2#19148010C211yesmaximal, characteristic, complemented
3#19145332C211yesmaximal, characteristic, complemented
4#19145328C211yesmaximal, characteristic, complemented
5#19145323C211yesmaximal, characteristic, complemented
6#19145317C211yesmaximal, characteristic, complemented
7#19145295C211yesmaximal, characteristic, complemented
8#19145290C211yesmaximal, characteristic, complemented
9#19145288C211yesmaximal, characteristic, complemented
10#19145286C211yesmaximal, characteristic, complemented
11#19145284C211yesmaximal, characteristic, complemented
12#19145278C211yesmaximal, characteristic, complemented
13#19145276C211yesmaximal, characteristic, complemented
14#19145241C211yesmaximal, characteristic, complemented
15#19145239C211yesmaximal, characteristic, complemented
16#19145208C211yesmaximal, characteristic, complemented
17#19145206C211yesmaximal, characteristic, complemented
18#19145122C211yesmaximal, characteristic, complemented
19#19145079C211yesmaximal, characteristic, complemented
20#19144948C211yesmaximal, characteristic, complemented
21#19144944C211yesmaximal, characteristic, complemented
22#19144272C211yesmaximal, characteristic, complemented
23#19144270C211yesmaximal, characteristic, complemented
24#19144252C211yesmaximal, characteristic, complemented
25#19144238C211yesmaximal, characteristic, complemented
26C4×#13063352C211yesmaximal, characteristic, complemented
27C4×#13063349C211yesmaximal, characteristic, complemented
28#19143390C211yesmaximal, characteristic, complemented
29#442×D43C211yesmaximal, characteristic, complemented
30#19143022C211yesmaximal, characteristic, complemented
31C43×#3179C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063346C2211yescharacteristic
35C2×D8×D43C2211yescharacteristic
36C2×#13063333C2211yescharacteristic
37C2×#13063331C2211yescharacteristic
38#14583529C2211yescharacteristic
39#14583526C2211yescharacteristic
40#14583521C2211yescharacteristic, complemented
41#14583520C2211yescharacteristic, complemented
42#14583519—21no—
43#14583517—21no—
44#14583514C2211yescharacteristic, complemented
45#14583504C2211yescharacteristic, complemented
46#14583501—21no—
47#14583500C2211yescharacteristic, complemented
48#14583500C2211yescharacteristic, complemented
49#14583499—21no—
50#14583488—21no—
51#14583485—21no—
52#14583483—21no—
53#14583481—21no—
54#14583479C2211yescharacteristic
55#14583478C2211yescharacteristic
56#14583467C2211yescharacteristic
57#14583465C2211yescharacteristic
58#14583465C2211yescharacteristic
59#14583462C2211yescharacteristic
60#14583450C2211yescharacteristic, complemented
61#14583448—21no—
62#14583447C2211yescharacteristic, complemented
63#14583444—21no—
64#14583444C2211yescharacteristic, complemented
65#14583444C2211yescharacteristic, complemented
66#14583435C2211yescharacteristic, complemented
67#14583434C2211yescharacteristic, complemented
68#14583432—21no—
69#14583430C2211yescharacteristic, complemented
70#14583428C2211yescharacteristic, complemented
71#14583426—21no—
72#14583412—21no—
73#14583409—21no—
74#14583407—21no—
75#14583407—21no—
76C4×#10621902C2211yescharacteristic
77#14583367C2211yescharacteristic
78C4×#10621900C2211yescharacteristic
79C4×D4×D43C2211yescharacteristic
80C4×D4×D43C2211yescharacteristic
81#14583308C2211yescharacteristic, complemented
82#14583307C2211yescharacteristic, complemented
83#14583306C2211yescharacteristic, complemented
84#14583300C2211yescharacteristic, complemented
85#14583298C2211yescharacteristic, complemented
86#14583296C2211yescharacteristic, complemented
87#14583295C2211yescharacteristic, complemented
88#14583288C2211yescharacteristic
89#14583287C2211yescharacteristic
90#14583285C2211yescharacteristic
91#14583281C2211yescharacteristic
92#14583280C2211yescharacteristic
93#14583275C2211yescharacteristic
94#14583274C2211yescharacteristic
95#14583265C2211yescharacteristic, complemented
96#14583263C2211yescharacteristic, complemented
97#14583262C2211yescharacteristic, complemented
98#14583262C2211yescharacteristic, complemented
99#14583261C2211yescharacteristic, complemented
100#14583260C2211yescharacteristic, complemented
101#14583258C2211yescharacteristic, complemented
102#14583257C2211yescharacteristic, complemented
103#14583255C2211yescharacteristic, complemented
104#14583254C2211yescharacteristic, complemented
105#14583252C2211yescharacteristic, complemented
106#14583246C2211yescharacteristic, complemented
107#14583244C2211yescharacteristic, complemented
108#14583244C2211yescharacteristic, complemented
109#14583156C2211yescharacteristic, complemented
110#14583155C2211yescharacteristic, complemented
111#14583152C2211yescharacteristic, complemented
112#14583151C2211yescharacteristic
113#14583151C2211yescharacteristic
114#14583151C2211yescharacteristic, complemented
115#14583151C2211yescharacteristic, complemented
116#14583151C2211yescharacteristic, complemented
117#14583150C2211yescharacteristic
118#14583150C2211yescharacteristic
119#14583150C2211yescharacteristic, complemented
120#14583148C2211yescharacteristic, complemented
121#14583145C2211yescharacteristic, complemented
122#14583144C2211yescharacteristic, complemented
123#14583136C2211yescharacteristic
124#14583136C2211yescharacteristic, complemented
125#14583135C2211yescharacteristic
126#14583133C2211yescharacteristic, complemented
127#14583133C2211yescharacteristic, complemented
128#14583132C2211yescharacteristic
129#14583132C2211yescharacteristic, complemented
130#14583130C2211yescharacteristic, complemented
131#14583129C2211yescharacteristic, complemented
132#14583129C2211yescharacteristic, complemented
133#14583128C2211yescharacteristic, complemented
134#14583126C2211yescharacteristic, complemented
135#14583125C2211yescharacteristic, complemented
136#14583125C2211yescharacteristic, complemented
137#14583012C2211yescharacteristic
138#14583011C2211yescharacteristic
139#14583011C2211yescharacteristic, complemented
140#14583010C2211yescharacteristic
141#14583010C2211yescharacteristic, complemented
142#14583009C2211yescharacteristic
143#14583009C2211yescharacteristic
144#14583009C2211yescharacteristic, complemented
145#14583008C2211yescharacteristic
146#14583008C2211yescharacteristic
147#14583008C2211yescharacteristic, complemented
148#14583008C2211yescharacteristic, complemented
149#14583008C2211yescharacteristic, complemented
150#14583004C2211yescharacteristic, complemented
151#14583003C2211yescharacteristic, complemented
152#14583002C2211yescharacteristic, complemented
153#14583001C2211yescharacteristic, complemented
154#14583000C2211yescharacteristic, complemented
155#14583000C2211yescharacteristic, complemented
156#14582998C2211yescharacteristic, complemented
157#14582998C2211yescharacteristic, complemented
158#14582996C2211yescharacteristic, complemented
159C4×#10621873C2211yescharacteristic, complemented
160C4×#10621884C2211yescharacteristic, complemented
161C4×#10621883C2211yescharacteristic, complemented
162C4×D344C2211yescharacteristic, complemented
163C4×#10621882C2211yescharacteristic, complemented
164C4×#10621882C2211yescharacteristic, complemented
165#14582940C2211yescharacteristic
166#14582938C2211yescharacteristic
167#14582936C2211yescharacteristic
168#106×D43C2211yescharacteristic
169#14582902C2211yescharacteristic
170#14582902C2211yescharacteristic
171#14582899C2211yescharacteristic
172#14582897C2211yescharacteristic
173#14582894C2211yescharacteristic
174#14582892C2211yescharacteristic
175#102×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, complemented
189C43×#540C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic
192C43×#488C2211yescharacteristic, complemented
193C43×#486C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic, complemented
196C43×#466C2211yescharacteristic
197C43×#465C2211yescharacteristic, complemented
198C43×#442C2211yescharacteristic
199C43×#440C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic, complemented
202C43×#405C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C2×#10621900—21no—
208C2×#10621900—21no—
209C2×#10621900C2311yescharacteristic
210C2×D4×D43C2311yescharacteristic
211C2×D4×D43C2311yescharacteristic
212C22×C4×D43—21no—
213C22×C4×D43—21no—
214#13063352—24no—
215#13063349—24no—
216#13063346—24no—
217C2×#10621885C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×D344C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229D8×D43—24no—
230#13063333—24no—
231#13063331—24no—
232C2×#10621877C2311yescharacteristic
233C2×#10621872C2311yescharacteristic
234C2×#10621872C2311yescharacteristic
235C2×#10621872C2311yescharacteristic
236C2×#10621872C2311yescharacteristic
237C22×C43⋊C8C2311yescharacteristic
238C2×C8×D43C2311yescharacteristic
239C2×C8×D43C2311yescharacteristic
240C2×C8×D43C2311yescharacteristic
241C2×C8×D43C2311yescharacteristic
242#13063325C2311yescharacteristic
243#13063324—21no—
244#13063324C2311yescharacteristic
245#13063324C2311yescharacteristic
246#13063323—21no—
247#13063322C2311yescharacteristic
248#13063321—21no—
249#13063321—21no—
250#13063321C2311yescharacteristic
251#13063321C2311yescharacteristic
252#13063320—21no—
253#13063320—21no—
254#13063320—21no—
255#13063319—21no—
256#13063318—21no—
257#13063318—21no—
258#13063318—21no—
259#13063317C2311yescharacteristic
260#13063316C2311yescharacteristic
261#13063316C2311yescharacteristic
262#13063315—21no—
263#13063315—21no—
264#13063314—21no—
265#13063314C2311yescharacteristic
266#13063313—21no—
267#13063313C2311yescharacteristic
268#13063312—21no—
269#13063312C2311yescharacteristic
270#13063311—21no—
271#13063311—21no—
272#13063311—21no—
273#13063311—21no—
274#13063311—21no—
275#13063311—21no—
276#13063310—21no—
277#13063310—21no—
278#13063310—21no—
279#13063310—21no—
280#13063309—21no—
281#13063308—21no—
282#13063308—21no—
283#13063308—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307—21no—
287#13063307—21no—
288#13063306—21no—
289#13063305—21no—
290#13063305C2311yescharacteristic
291#13063304—21no—
292#13063304C2311yescharacteristic
293#13063303—21no—
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063302—21no—
299#13063301—21no—
300#13063301C2311yescharacteristic
301#13063300—21no—
302#13063300—21no—
303#13063300C2311yescharacteristic
304#13063300C2311yescharacteristic
305#13063300C2311yescharacteristic
306#13063299—21no—
307#13063299—21no—
308#13063299C2311yescharacteristic
309#13063299C2311yescharacteristic
310#13063299C2311yescharacteristic
311#13063298—21no—
312#13063298—21no—
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063298—21no—
317#13063298—21no—
318#13063298—21no—
319#13063298—21no—
320#13063297—21no—
321#13063297—21no—
322#13063297—21no—
323#13063297—21no—
324#13063297—21no—
325#13063296—21no—
326#13063296—21no—
327#13063296C2311yescharacteristic
328#13063296C2311yescharacteristic
329#13063296C2311yescharacteristic
330#13063295—21no—
331#13063295—21no—
332#13063295—21no—
333#13063295—21no—
334#13063293—21no—
335#13063293—21no—
336#13063293—21no—
337#13063293—21no—
338Q8×Dic43C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340#13063290D411yescharacteristic
341#13063290D411yescharacteristic
342#13063290C2311yescharacteristic
343C4×D172—21no—
344C4×D172C2311yescharacteristic
345C4×D172C2311yescharacteristic
346C4×D172C2311yescharacteristic
347D4×Dic43—21no—
348D4×Dic43—21no—
349D4×Dic43C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351D4×Dic43C2311yescharacteristic
352#13063287—21no—
353#13063287—21no—
354#13063287—21no—
355#13063287D411yescharacteristic
356#13063287D411yescharacteristic
357#13063287C2311yescharacteristic
358#13063287C2311yescharacteristic
359#13063287C2311yescharacteristic
360C4×C22⋊D43—21no—
361C4×C22⋊D43—21no—
362C4×C22⋊D43—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366(C22⋊D43)⋊C4—21no—
367(C22⋊D43)⋊C4—21no—
368(C22⋊D43)⋊C4—21no—
369(C22⋊D43)⋊C4—21no—
370(C22⋊D43)⋊C4D411yescharacteristic
371(C22⋊D43)⋊C4D411yescharacteristic
372(C22⋊D43)⋊C4D411yescharacteristic
373(C22⋊D43)⋊C4D411yescharacteristic
374#13063283—21no—
375#13063283—21no—
376#13063283—21no—
377#13063283C2311yescharacteristic
378#13063283C2311yescharacteristic
379#13063282C2311yescharacteristic
380#13063282C2311yescharacteristic
381#13063281—21no—
382#13063281—21no—
383#13063281—21no—
384C4⋊C4×D43C2311yescharacteristic
385C4⋊C4×D43C2311yescharacteristic
386C22⋊C4×D43—21no—
387C22⋊C4×D43—21no—
388C2×C4×Dic43—21no—
389C2×C4×Dic43C2311yescharacteristic
390C42×D43—21no—
391C42×D43C2311yescharacteristic
392C42×D43C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
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×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445C2×M16×C43C2311yescharacteristic
446C22×C8×C43C2311yescharacteristic
447C4⋊Q8×C43C2311yescharacteristic
448#127×C43C2311yescharacteristic
449#126×C43—21no—
450#125×C43C2311yescharacteristic
451#124×C43—21no—
452#124×C43C2311yescharacteristic
453#123×C43—21no—
454#123×C43—21no—
455#123×C43—21no—
456C22⋊Q8×C43—21no—
457C22⋊Q8×C43C2311yescharacteristic
458#121×C43—21no—
459#121×C43—21no—
460#121×C43C2311yescharacteristic
461#121×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463C4×Q8×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465C4×D4×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#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481#97×C43C2311yescharacteristic
482C4×C8×C43C2311yescharacteristic
483C4×C8×C43C2311yescharacteristic
484C23×D43—21no—
485C23×D43—21no—
486C2×Q8×C43—21no—
487C2×Q8×C43C2411yescharacteristic
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43C2411yescharacteristic
494C2×D4×C43C2411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43C2411yescharacteristic
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43C2×D411yescharacteristic
514C2×C22⋊D43C2×D411yescharacteristic
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43C2×D411yescharacteristic
520C22×Dic43C2×D411yescharacteristic
521#10621902—22no—
522#10621902—22no—
523#10621902—82no—
524#10621900—22no—
525#10621900—22no—
526#10621900—82no—
527#10621900—82no—
528#10621900—82no—
529D4×D43—22no—
530D4×D43—22no—
531D4×D43—22no—
532D4×D43—22no—
533#10621898—22no—
534#10621898—22no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172—21no—
540C2×D172—21no—
541C2×D172C2×D411yescharacteristic
542C2×D172C2411yescharacteristic
543C2×D172C2411yescharacteristic
544C2×D172C2411yescharacteristic
545C2×C4×D43—21no—
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—82no—
555C2×C4×D43—82no—
556C2×C4×D43C2×D411yescharacteristic
557C2×C4×D43C2×D411yescharacteristic
558C2×C4×D43C2×D411yescharacteristic
559C2×C4×D43C2×D411yescharacteristic
560C2×C4×D43C2411yescharacteristic
561C2×C4×D43C2411yescharacteristic
562C2×Dic86—21no—
563C2×Dic86—21no—
564C2×Dic86—21no—
565C2×Dic86C2×D411yescharacteristic
566C2×Dic86C2411yescharacteristic
567SD16×C43—22no—
568SD16×C43—22no—
569D8×C43—22no—
570D8×C43—22no—
571M16×C43—22no—
572C2×C8×C43—22no—
573C2×C8×C43C2411yescharacteristic
574C2×C8×C43C2411yescharacteristic
575C2×C8×C43C2411yescharacteristic
576C2×C8×C43C2411yescharacteristic
577C4⋊C4×C43—21no—
578C4⋊C4×C43—21no—
579C4⋊C4×C43—21no—
580C4⋊C4×C43—21no—
581C4⋊C4×C43—21no—
582C4⋊C4×C43C2×D411yescharacteristic
583C4⋊C4×C43C2×D411yescharacteristic
584C4⋊C4×C43C2411yescharacteristic
585C4⋊C4×C43C2411yescharacteristic
586C4⋊C4×C43C2411yescharacteristic
587C4⋊C4×C43C2411yescharacteristic
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43—21no—
596C22⋊C4×C43—21no—
597C22⋊C4×C43C2×D411yescharacteristic
598C22⋊C4×C43C2×D411yescharacteristic
599C42×C43—21no—
600C42×C43C2411yescharacteristic
601C42×C43C2411yescharacteristic
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43—21no—
610C22⋊Dic43—21no—
611#10621885—22no—
612#10621884—22no—
613#10621883—22no—
614#10621882—22no—
615#10621882—22no—
616#10621882—22no—
617#10621882—22no—
618#10621882—22no—
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)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4C2×D411yescharacteristic
640(C2×D43)⋊C4C2×D411yescharacteristic
641(C2×D43)⋊C4C2×D411yescharacteristic
642(C2×D43)⋊C4C2×D411yescharacteristic
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43C2411yescharacteristic
649C4⋊Dic43C2411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651C4⋊Dic43C2411yescharacteristic
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2×D411yescharacteristic
676C4×Dic43C2×D411yescharacteristic
677C4×Dic43C2×D411yescharacteristic
678C4×Dic43C2×D411yescharacteristic
679C4×Dic43C2411yescharacteristic
680C4×Dic43C2411yescharacteristic
681#10621877—22no—
682C2×C43⋊C8—22no—
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687D344—22no—
688D344—22no—
689#10621873—22no—
690#10621873—22no—
691#10621872—22no—
692#10621872—22no—
693#10621872—22no—
694#10621872#4114yescomplemented
695C8×D43—22no—
696C8×D43—22no—
697C8×D43—22no—
698C8×D43#4114yescomplemented
699C23×C43—21no—
700C23×C43—21no—
701C23×C43—21no—
702C23×C43C22×D411yescharacteristic
703C22×D43—21no—
704C22×D43—21no—
705C22×D43—21no—
706C22×D43—42no—
707C22×D43—42no—
708C22×D43—81no—
709C22×D43—81no—
710C22×D43—81no—
711C22×D43—81no—
712C22×D43C22×D411yescharacteristic
713C22×D43C22×D411yescharacteristic
714Q8×C43—21no—
715Q8×C43—21no—
716Q8×C43—81no—
717D4×C43—21no—
718D4×C43—21no—
719D4×C43—21no—
720D4×C43—21no—
721D4×C43—21no—
722D4×C43—21no—
723D4×C43—81no—
724D4×C43—81no—
725D4×C43—81no—
726D4×C43—81no—
727D4×C43—81no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—81no—
736C2×C4×C43—81no—
737C2×C4×C43—81no—
738C2×C4×C43C22×D411yescharacteristic
739C2×C4×C43C22×D411yescharacteristic
740C2×C4×C43C22×D411yescharacteristic
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C2511yescharacteristic
744C22⋊D43—22no—
745C22⋊D43—22no—
746C22⋊D43—42no—
747C22⋊D43—42no—
748C22⋊D43—42no—
749C22⋊D43—81no—
750C22⋊D43—81no—
751C22⋊D43—81no—
752C22⋊D43—81no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—41no—
765C2×Dic43—41no—
766C2×Dic43—42no—
767C2×Dic43—42no—
768C2×Dic43—42no—
769C2×Dic43—42no—
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775C2×Dic43C22×D411yescharacteristic
776D172—22no—
777D172—21no—
778D172—21no—
779D172—21no—
780D172—21no—
781D172—21no—
782D172—21no—
783D172—42no—
784D172—81no—
785D172—81no—
786D172—81no—
787D172—81no—
788D172—81no—
789C4×D43—21no—
790C4×D43—21no—
791C4×D43—41no—
792C4×D43—41no—
793C4×D43—41no—
794C4×D43—41no—
795C4×D43—42no—
796C4×D43—42no—
797C4×D43—42no—
798C4×D43—42no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802C4×D43—81no—
803C4×D43—81no—
804C4×D43C2×#4112yes—
805C4×D43C2×#4112yes—
806Dic86—22no—
807Dic86—21no—
808Dic86—21no—
809Dic86—81no—
810Dic86—81no—
811Dic86—81no—
812C8×C43—21no—
813C8×C43—21no—
814C8×C43C2×#4112yes—
815C8×C43C2×#4112yes—
816C43⋊C8—21no—
817C43⋊C8—21no—
818C43⋊C8C2×#4112yes—
819C43⋊C8C2×#4112yes—
820#60698—431nomaximal, Sylow
821C22×C43—21no—
822C22×C43—21no—
823C22×C43—21no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43C23×D411yescharacteristic
834C2×D43—21no—
835C2×D43—21no—
836C2×D43—21no—
837C2×D43—21no—
838C2×D43—21no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—84no—
849C2×D43—84no—
850C2×D43#53212yes—
851C4×C43—21no—
852C4×C43—21no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—41no—
857C4×C43—41no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43—41no—
861C4×C43C22×#4111yescharacteristic
862C4×C43C22×#4111yescharacteristic
863Dic43—21no—
864Dic43—21no—
865Dic43—21no—
866Dic43—21no—
867Dic43—21no—
868Dic43—41no—
869Dic43—41no—
870Dic43—41no—
871Dic43—41no—
872Dic43—41no—
873Dic43#53212yes—
874#3460—431no—
875#3460—431no—
876#3184—431no—
877#3184—431no—
878#3183—431no—
879#3183—431no—
880#3180—431no—
881#3180—431no—
882#3180—431no—
883#3180—431no—
884#3179—431no—
885#3179—431no—
886#3179—431no—
887#3179D4311yescharacteristic, complemented
888#3176—431no—
889#3176—431no—
890#3173—431no—
891#3173—431no—
892#3163—431no—
893#3155—431no—
894#3136—431no—
895#3136—431no—
896#3062—431no—
897#3062—431no—
898#3060—431no—
899#3058—431no—
900C4×AGL(1,ℤ/8)—431no—
901C4×AGL(1,ℤ/8)—431no—
902#2943—431no—
903C2×#442—431no—
904#2875—431no—
905C2×C43—41no—
906C2×C43—81no—
907C2×C43—81no—
908C2×C43—81no—
909C2×C43C2×#53211yescharacteristic
910C2×C43#358511yescharacteristic
911C2×C43#358511yescharacteristic
912D43—22no—
913D43—41no—
914D43—81no—
915D43—81no—
916D43—81no—
917C2×AGL(1,ℤ/8)—431no—
918C2×AGL(1,ℤ/8)—431no—
919C2×#135—431no—
920C22×D8—431no—
921C2×#131—431no—
922C2×#131—431no—
923#544—431no—
924#544—431no—
925#542—431no—
926#542—431no—
927#542—431no—
928#542—861no—
929#542—861no—
930#542C2×D4311yescharacteristic, complemented
931#540—431no—
932#540—431no—
933#540—431no—
934#540—861no—
935#540—861no—
936#540C2×D4311yescharacteristic, complemented
937#538—861no—
938#538—861no—
939#538—861no—
940#538—861no—
941#537—431no—
942#537—431no—
943#535—431no—
944#535—431no—
945#535—431no—
946#535—431no—
947#532—431no—
948#532—431no—
949#532—431no—
950#532—431no—
951#532—861no—
952#532—861no—
953#529—431no—
954#529—431no—
955#529—431no—
956#529—431no—
957#529—861no—
958#529—861no—
959#525—861no—
960#525—861no—
961#525—861no—
962#525—861no—
963C4×#41—431no—
964C4×#41—431no—
965C4×#41—431no—
966C2×C4×D4—431no—
967C2×C4×D4—431no—
968#501—431no—
969#501—431no—
970#501—431no—
971#501C2×D4311yescharacteristic, complemented
972#499—431no—
973#499—431no—
974#498—431no—
975#498—431no—
976#496—431no—
977#496—431no—
978#496—431no—
979#496C2×D4311yescharacteristic
980#495—431no—
981#495—431no—
982#493—431no—
983#493—431no—
984#490—431no—
985#490—431no—
986#490—431no—
987#490—431no—
988#489—431no—
989#489—431no—
990#489—431no—
991#489—431no—
992#488—431no—
993#488—431no—
994#488—431no—
995#488C2×D4311yescharacteristic, complemented
996#486—431no—
997#486—431no—
998#486—431no—
999#486C2×D4311yescharacteristic, complemented
1000#470—431no—
1001#470—431no—
1002#469—431no—
1003#469—431no—
1004#469—431no—
1005#469—431no—
1006#469—431no—
1007#469—431no—
1008#469—431no—
1009#469—431no—
1010#469—431no—
1011#469C2×D4311yescharacteristic, complemented
1012#468—431no—
1013#468—431no—
1014#468—431no—
1015#468C2×D4311yescharacteristic, complemented
1016#466—431no—
1017#466—431no—
1018#466—431no—
1019#466—431no—
1020#466—431no—
1021#466—431no—
1022#466—431no—
1023#466C2×D4311yescharacteristic
1024#465—431no—
1025#465—431no—
1026#465—431no—
1027#465—431no—
1028#465—431no—
1029#465—431no—
1030#465—431no—
1031#465C2×D4311yescharacteristic, complemented
1032#442—431no—
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442—431no—
1041#442—431no—
1042#442—431no—
1043#442—431no—
1044#442—431no—
1045#442C2×D4311yescharacteristic
1046#441—431no—
1047#441—431no—
1048#440—431no—
1049#440—431no—
1050#440—431no—
1051#440—431no—
1052#440—431no—
1053#440—431no—
1054#440—431no—
1055#440C2×D4311yescharacteristic, complemented
1056C4×SD16—431no—
1057C4×SD16—431no—
1058C4×SD16—431no—
1059C4×SD16C2×D4311yescharacteristic, complemented
1060C4×D8—431no—
1061C4×D8—431no—
1062C4×D8—431no—
1063C4×D8C2×D4311yescharacteristic, complemented
1064#428—431no—
1065#428—431no—
1066#427—431no—
1067C2×#106—431no—
1068#418—431no—
1069#418—431no—
1070#417—431no—
1071#417—431no—
1072#416—431no—
1073#416—431no—
1074C2×#102—431no—
1075C2×#102—431no—
1076#405—431no—
1077#405—431no—
1078#405—431no—
1079#405—431no—
1080#405—431no—
1081#405C2×D4311yescharacteristic, complemented
1082C4×M16—431no—
1083C4×M16—431no—
1084C4×M16—431no—
1085C2×#97—431no—
1086C2×#97—431no—
1087C2×#97—431no—
1088C43#6069811yescharacteristic, complemented, Sylow
1089C2×#41—431no—
1090C2×#41—431no—
1091C2×#41—431no—
1092C2×#41—861no—
1093C2×#41—861no—
1094C2×#41—861no—
1095C2×#41—861no—
1096C22×D4—431no—
1097C22×D4—431no—
1098C23×C4—861no—
1099C23×C4—861no—
1100AGL(1,ℤ/8)—864no—
1101AGL(1,ℤ/8)—864no—
1102#135—864no—
1103C2×Q16—431no—
1104C2×SD16—431no—
1105C2×SD16—431no—
1106C2×SD16—431no—
1107C2×SD16—431no—
1108C2×SD16C22×D4311yescharacteristic
1109C2×SD16C22×D4311yescharacteristic
1110C2×D8—431no—
1111C2×D8—431no—
1112C2×D8—431no—
1113C2×D8—431no—
1114C2×D8—431no—
1115C2×D8—431no—
1116C2×D8—431no—
1117C2×D8—864no—
1118C2×D8C22×D4311yescharacteristic
1119C2×D8C22×D4311yescharacteristic
1120#131—864no—
1121#131—864no—
1122C2×M16—431no—
1123C2×M16—431no—
1124C2×M16—431no—
1125C2×M16—431no—
1126C2×M16—431no—
1127C2×M16C22×D4311yescharacteristic
1128C22×C8—431no—
1129C22×C8—431no—
1130C22×C8—431no—
1131C22×C8—431no—
1132C22×C8—431no—
1133C22×C8C22×D4311yescharacteristic
1134C4⋊Q8—431no—
1135C4⋊Q8—431no—
1136C4⋊Q8—431no—
1137C4⋊Q8—861no—
1138C4⋊Q8—861no—
1139C4⋊Q8C22×D4311yescharacteristic
1140#127—431no—
1141#127—431no—
1142#127—431no—
1143#127—861no—
1144#127—861no—
1145#127C22×D4311yescharacteristic
1146#126—21no—
1147#126—861no—
1148#126—861no—
1149#126—861no—
1150#126—861no—
1151#126—861no—
1152#126—861no—
1153#126—861no—
1154#125—431no—
1155#125—431no—
1156#125—431no—
1157#125—861no—
1158#125—861no—
1159#125C22×D4311yescharacteristic
1160#124—21no—
1161#124—431no—
1162#124—431no—
1163#124—431no—
1164#124—861no—
1165#124—861no—
1166#124—861no—
1167#124—861no—
1168#124—861no—
1169#124—861no—
1170#124—861no—
1171#124—861no—
1172#124—861no—
1173#124C22×D4311yescharacteristic
1174#123—21no—
1175#123—21no—
1176#123—21no—
1177#123—861no—
1178#123—861no—
1179#123—861no—
1180#123—861no—
1181#123—861no—
1182#123—861no—
1183#123—861no—
1184#123—861no—
1185#123—861no—
1186#123—861no—
1187#123—861no—
1188#123—861no—
1189#123—861no—
1190C22⋊Q8—21no—
1191C22⋊Q8—431no—
1192C22⋊Q8—431no—
1193C22⋊Q8—431no—
1194C22⋊Q8—861no—
1195C22⋊Q8—861no—
1196C22⋊Q8—861no—
1197C22⋊Q8—861no—
1198C22⋊Q8—861no—
1199C22⋊Q8—861no—
1200C22⋊Q8—861no—
1201C22⋊Q8—861no—
1202C22⋊Q8—861no—
1203C22⋊Q8C22×D4311yescharacteristic
1204#121—21no—
1205#121—21no—
1206#121—431no—
1207#121—431no—
1208#121—431no—
1209#121—431no—
1210#121—431no—
1211#121—431no—
1212#121—431no—
1213#121—431no—
1214#121—431no—
1215#121—861no—
1216#121—861no—
1217#121—861no—
1218#121—861no—
1219#121—861no—
1220#121—861no—
1221#121—861no—
1222#121—861no—
1223#121—861no—
1224#121—861no—
1225#121—861no—
1226#121—861no—
1227#121—861no—
1228#121—861no—
1229#121—861no—
1230#121—861no—
1231#121—861no—
1232#121—861no—
1233#121—861no—
1234#121—861no—
1235#121C22×D4311yescharacteristic
1236#121C22×D4311yescharacteristic
1237#121C22×D4311yescharacteristic
1238#120—861no—
1239#120—861no—
1240#120—861no—
1241#120—861no—
1242#120—861no—
1243#120—861no—
1244#120—861no—
1245#120—861no—
1246C4×Q8—431no—
1247C4×Q8—431no—
1248C4×Q8—431no—
1249C4×Q8—431no—
1250C4×Q8—431no—
1251C4×Q8C22×D4311yescharacteristic
1252C4×D4—431no—
1253C4×D4—431no—
1254C4×D4—431no—
1255C4×D4—431no—
1256C4×D4—431no—
1257C4×D4—431no—
1258C4×D4—431no—
1259C4×D4—431no—
1260C4×D4—431no—
1261C4×D4—431no—
1262C4×D4—431no—
1263C4×D4—431no—
1264C4×D4—431no—
1265C4×D4—431no—
1266C4×D4—431no—
1267C4×D4—861no—
1268C4×D4—861no—
1269C4×D4—861no—
1270C4×D4—861no—
1271C4×D4—861no—
1272C4×D4—861no—
1273C4×D4—861no—
1274C4×D4—861no—
1275C4×D4—861no—
1276C4×D4—861no—
1277C4×D4—861no—
1278C4×D4—861no—
1279C4×D4—861no—
1280C4×D4—861no—
1281C4×D4—861no—
1282C4×D4—861no—
1283C4×D4C22×D4311yescharacteristic
1284C4×D4C22×D4311yescharacteristic
1285C4×D4C22×D4311yescharacteristic
1286#117—431no—
1287#117—431no—
1288#117—431no—
1289#117—431no—
1290#117—861no—
1291#117—861no—
1292#117—861no—
1293#117—861no—
1294#117—861no—
1295#117—861no—
1296#117C22×D4311yescharacteristic
1297C2×C4⋊C4—431no—
1298C2×C4⋊C4—431no—
1299C2×C22⋊C4—861no—
1300C2×C22⋊C4—861no—
1301C2×C42—431no—
1302C2×C42—431no—
1303C2×C42—431no—
1304C2×C42—861no—
1305C2×C42—861no—
1306#107—431no—
1307#107—431no—
1308#107—431no—
1309#107—431no—
1310#107C22×D4311yescharacteristic
1311#107C22×D4311yescharacteristic
1312#106—431no—
1313#106—431no—
1314#106—431no—
1315#106—431no—
1316#106—431no—
1317#106—431no—
1318#106—431no—
1319#106—431no—
1320#106C22×D4311yescharacteristic
1321#106C22×D4311yescharacteristic
1322#103—431no—
1323#103—431no—
1324#103—431no—
1325#103—431no—
1326#103—431no—
1327#103—431no—
1328#103C22×D4311yescharacteristic
1329#103C22×D4311yescharacteristic
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102—431no—
1342#102—431no—
1343#102—431no—
1344#102—431no—
1345#102—431no—
1346#102—431no—
1347#102—431no—
1348#102C22×D4311yescharacteristic
1349#102C22×D4311yescharacteristic
1350#102C22×D4311yescharacteristic
1351#102C22×D4311yescharacteristic
1352#102C22×D4311yescharacteristic
1353#102C22×D4311yescharacteristic
1354#97—431no—
1355#97—431no—
1356#97—431no—
1357#97—431no—
1358#97—431no—
1359#97—431no—
1360#97—431no—
1361#97—431no—
1362#97C22×D4311yescharacteristic
1363#97C22×D4311yescharacteristic
1364C4×C8—431no—
1365C4×C8—431no—
1366C4×C8—431no—
1367C4×C8—431no—
1368C4×C8C22×D4311yescharacteristic
1369C4×C8C22×D4311yescharacteristic
1370C24—861no—
1371C24—861no—
1372#41—862no—
1373#41—862no—
1374#41—862no—
1375#41—862no—
1376#41—862no—
1377#41—862no—
1378#41—3442no—
1379#41—3442no—
1380#41—3442no—
1381#41—3442no—
1382C2×Q8—21no—
1383C2×Q8—431no—
1384C2×Q8—431no—
1385C2×Q8—861no—
1386C2×Q8—861no—
1387C2×Q8—861no—
1388C2×Q8C23×D4311yescharacteristic
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—431no—
1395C2×D4—431no—
1396C2×D4—431no—
1397C2×D4—431no—
1398C2×D4—431no—
1399C2×D4—431no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—861no—
1403C2×D4—861no—
1404C2×D4—862no—
1405C2×D4—862no—
1406C2×D4—862no—
1407C2×D4—862no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—861no—
1411C2×D4—861no—
1412C2×D4—861no—
1413C2×D4—861no—
1414C2×D4—861no—
1415C2×D4—861no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—861no—
1419C2×D4—861no—
1420C2×D4—861no—
1421C2×D4—861no—
1422C2×D4—861no—
1423C2×D4C23×D4311yescharacteristic
1424C2×D4C23×D4311yescharacteristic
1425C2×D4C23×D4311yescharacteristic
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—431no—
1430C22×C4—431no—
1431C22×C4—431no—
1432C22×C4—431no—
1433C22×C4—431no—
1434C22×C4—431no—
1435C22×C4—431no—
1436C22×C4—431no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—861no—
1443C22×C4—861no—
1444C22×C4—861no—
1445C22×C4—861no—
1446C22×C4—861no—
1447C22×C4—861no—
1448C22×C4—861no—
1449C22×C4—861no—
1450C22×C4—3442no—
1451C22×C4—3442no—
1452C22×C4C23×D4311yescharacteristic
1453Q16—862no—
1454SD16—22no—
1455SD16—22no—
1456SD16—862no—
1457SD16—862no—
1458SD16—862no—
1459SD16—862no—
1460D8—22no—
1461D8—22no—
1462D8—862no—
1463D8—862no—
1464D8—862no—
1465D8—862no—
1466D8—862no—
1467D8—862no—
1468D8—862no—
1469M16—22no—
1470M16—434no—
1471M16—862no—
1472M16—862no—
1473M16—862no—
1474M16—862no—
1475C2×C8—22no—
1476C2×C8—431no—
1477C2×C8—431no—
1478C2×C8—434no—
1479C2×C8—431no—
1480C2×C8—431no—
1481C2×C8—862no—
1482C2×C8—862no—
1483C2×C8—862no—
1484C2×C8—862no—
1485C2×C8C23×D4311yescharacteristic
1486C2×C8C23×D4311yescharacteristic
1487C2×C8C23×D4311yescharacteristic
1488C2×C8C23×D4311yescharacteristic
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—431no—
1495C4⋊C4—431no—
1496C4⋊C4—431no—
1497C4⋊C4—431no—
1498C4⋊C4—431no—
1499C4⋊C4—431no—
1500C4⋊C4—431no—
1501C4⋊C4—431no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4—861no—
1510C4⋊C4—861no—
1511C4⋊C4—861no—
1512C4⋊C4—861no—
1513C4⋊C4—861no—
1514C4⋊C4—861no—
1515C4⋊C4—861no—
1516C4⋊C4—861no—
1517C4⋊C4—861no—
1518C4⋊C4—861no—
1519C4⋊C4D4×D4311yescharacteristic
1520C4⋊C4D4×D4311yescharacteristic
1521C4⋊C4C23×D4311yescharacteristic
1522C4⋊C4C23×D4311yescharacteristic
1523C4⋊C4C23×D4311yescharacteristic
1524C4⋊C4C23×D4311yescharacteristic
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—431no—
1535C22⋊C4—431no—
1536C22⋊C4—431no—
1537C22⋊C4—431no—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C22⋊C4—861no—
1560C22⋊C4—861no—
1561C22⋊C4—861no—
1562C22⋊C4—861no—
1563C22⋊C4—861no—
1564C22⋊C4—861no—
1565C22⋊C4—861no—
1566C22⋊C4—861no—
1567C22⋊C4D4×D4311yescharacteristic
1568C22⋊C4D4×D4311yescharacteristic
1569C42—21no—
1570C42—431no—
1571C42—431no—
1572C42—431no—
1573C42—431no—
1574C42—431no—
1575C42—431no—
1576C42—431no—
1577C42—431no—
1578C42—861no—
1579C42—861no—
1580C42—861no—
1581C42—861no—
1582C42—861no—
1583C42C23×D4311yescharacteristic
1584C42C23×D4311yescharacteristic
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—431no—
1589C23—431no—
1590C23—861no—
1591C23—861no—
1592C23—861no—
1593C23—3441no—
1594C23—3441no—
1595C23—3441no—
1596C23—3441no—
1597C23—1722no—
1598C23—1722no—
1599C23C2×D4×D4311yescharacteristic
1600Q8—21no—
1601Q8—21no—
1602Q8—81no—
1603Q8—862no—
1604Q8—861no—
1605Q8—861no—
1606Q8—3441no—
1607Q8—3441no—
1608Q8—3441no—
1609D4—21no—
1610D4—21no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—81no—
1616D4—81no—
1617D4—81no—
1618D4—81no—
1619D4—81no—
1620D4—862no—
1621D4—862no—
1622D4—862no—
1623D4—861no—
1624D4—861no—
1625D4—861no—
1626D4—861no—
1627D4—861no—
1628D4—861no—
1629D4—3441no—
1630D4—3441no—
1631D4—3441no—
1632D4—3441no—
1633D4—3441no—
1634D4—3441no—
1635D4—3441no—
1636D4—3441no—
1637D4—3441no—
1638D4—3441no—
1639D4—3441no—
1640D4—3441no—
1641D4—3441no—
1642D4—3441no—
1643D4—3441no—
1644D4—1722no—
1645D4—1722no—
1646D4—1722no—
1647D4—1722no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—431no—
1659C2×C4—432no—
1660C2×C4—432no—
1661C2×C4—431no—
1662C2×C4—431no—
1663C2×C4—431no—
1664C2×C4—431no—
1665C2×C4—431no—
1666C2×C4—861no—
1667C2×C4—861no—
1668C2×C4—861no—
1669C2×C4—861no—
1670C2×C4—861no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—3441no—
1674C2×C4—3441no—
1675C2×C4—3441no—
1676C2×C4—3441no—
1677C2×C4—3441no—
1678C2×C4—1721no—
1679C2×C4—1721no—
1680C2×C4—1721no—
1681C2×C4—1721no—
1682C2×C4—1722no—
1683C2×C4—1722no—
1684C2×C4—1722no—
1685C2×C4—1722no—
1686C2×C4—1722no—
1687C2×C4—1721no—
1688C2×C4—1721no—
1689C2×C4—1722no—
1690C2×C4—1722no—
1691C2×C4—1722no—
1692C2×C4C2×D4×D4311yescharacteristic
1693C2×C4C2×D4×D4311yescharacteristic
1694C2×C4C2×D4×D4311yescharacteristic
1695C2×C4C2×D4×D4311yescharacteristic
1696C2×C4C2×D4×D4311yescharacteristic
1697C2×C4C24×D4311yescharacteristic
1698C8—21no—
1699C8—21no—
1700C8—432no—
1701C8—432no—
1702C8—861no—
1703C8—861no—
1704C8#41×D4312yes—
1705C8#41×D4312yes—
1706C22—21no—
1707C22—21no—
1708C22—21no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—432no—
1719C22—861no—
1720C22—861no—
1721C22—861no—
1722C22—861no—
1723C22—861no—
1724C22—3444no—
1725C22—3444no—
1726C22—1721no—
1727C22—1721no—
1728C22—1721no—
1729C22—1721no—
1730C22—1721no—
1731C22—1721no—
1732C22—1721no—
1733C22—1721no—
1734C22—1721no—
1735C22C22×D4×D4311yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—432no—
1747C4—861no—
1748C4—861no—
1749C4—861no—
1750C4—861no—
1751C4—861no—
1752C4—1721no—
1753C4—1721no—
1754C4—1721no—
1755C4—1721no—
1756C4—1721no—
1757C4C2×#41×D4311yescharacteristic
1758C4C2×#41×D4311yescharacteristic
1759C2—41no—
1760C2—81no—
1761C2—81no—
1762C2—81no—
1763C2—862no—
1764C2—3441no—
1765C2—3441no—
1766C2—3441no—
1767C2—1721no—
1768C2#532×D4311yescharacteristic
1769C2#1914937011yescharacteristic
1770C2#1914937311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3179C2
socleC22×C43C23×D4
hypercenter#3179D43
hypocenterC43#60698
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3179

Complements

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

NH ≅ G/Ntype
1. #19148015C2semidirect
2. #19148010C2semidirect
3. #19145332C2semidirect
4. #19145328C2semidirect
5. #19145323C2semidirect
6. #19145317C2semidirect
7. #19145295C2semidirect
8. #19145290C2semidirect
9. #19145288C2semidirect
10. #19145286C2semidirect
11. #19145284C2semidirect
12. #19145278C2semidirect
13. #19145276C2semidirect
14. #19145241C2semidirect
15. #19145239C2semidirect
16. #19145208C2semidirect
17. #19145206C2semidirect
18. #19145122C2semidirect
19. #19145079C2semidirect
20. #19144948C2semidirect
21. #19144944C2semidirect
22. #19144272C2semidirect
23. #19144270C2semidirect
24. #19144252C2semidirect
25. #19144238C2semidirect
26. C4×#13063352C2semidirect
27. C4×#13063349C2semidirect
28. #19143390C2semidirect
29. #442×D43C2semidirect
30. #19143022C2semidirect
31. C43×#3179C2semidirect
40. #14583521C22semidirect
41. #14583520C22semidirect
44. #14583514C22semidirect
45. #14583504C22semidirect
47. #14583500C22semidirect
48. #14583500C22semidirect
60. #14583450C22semidirect
62. #14583447C22semidirect
64. #14583444C22semidirect
65. #14583444C22semidirect
66. #14583435C22semidirect
67. #14583434C22semidirect
69. #14583430C22semidirect
70. #14583428C22semidirect
81. #14583308C22semidirect
82. #14583307C22semidirect
83. #14583306C22semidirect
84. #14583300C22semidirect
85. #14583298C22semidirect
86. #14583296C22semidirect
87. #14583295C22semidirect
95. #14583265C22semidirect
96. #14583263C22semidirect
97. #14583262C22semidirect
98. #14583262C22semidirect
99. #14583261C22semidirect
100. #14583260C22semidirect
101. #14583258C22semidirect
102. #14583257C22semidirect
103. #14583255C22semidirect
104. #14583254C22semidirect
105. #14583252C22semidirect
106. #14583246C22semidirect
107. #14583244C22semidirect
108. #14583244C22semidirect
109. #14583156C22semidirect
110. #14583155C22semidirect
111. #14583152C22semidirect
114. #14583151C22semidirect
115. #14583151C22semidirect
116. #14583151C22semidirect
119. #14583150C22semidirect
120. #14583148C22semidirect
121. #14583145C22semidirect
122. #14583144C22semidirect
124. #14583136C22semidirect
126. #14583133C22semidirect
127. #14583133C22semidirect
129. #14583132C22semidirect
130. #14583130C22semidirect
131. #14583129C22semidirect
132. #14583129C22semidirect
133. #14583128C22semidirect
134. #14583126C22semidirect
135. #14583125C22semidirect
136. #14583125C22semidirect
139. #14583011C22semidirect
141. #14583010C22semidirect
144. #14583009C22semidirect
147. #14583008C22semidirect
148. #14583008C22semidirect
149. #14583008C22semidirect
150. #14583004C22semidirect
151. #14583003C22semidirect
152. #14583002C22semidirect
153. #14583001C22semidirect
154. #14583000C22semidirect
155. #14583000C22semidirect
156. #14582998C22semidirect
157. #14582998C22semidirect
158. #14582996C22semidirect
159. C4×#10621873C22semidirect
160. C4×#10621884C22semidirect
161. C4×#10621883C22semidirect
162. C4×D344C22semidirect
163. C4×#10621882C22semidirect
164. C4×#10621882C22semidirect
178. #14582856C22semidirect
179. #14582855C22semidirect
181. #14582853C22semidirect
182. M16×Dic43C22semidirect
184. C4×#10621872C22semidirect
185. C2×#13063235C22semidirect
187. #97×D43C22semidirect
188. C43×#542C22semidirect
189. C43×#540C22semidirect
190. C43×#501C22semidirect
192. C43×#488C22semidirect
193. C43×#486C22semidirect
194. C43×#469C22semidirect
195. C43×#468C22semidirect
197. C43×#465C22semidirect
199. C43×#440C22semidirect
200. C4×SD16×C43C22semidirect
201. C4×D8×C43C22semidirect
202. C43×#405C22semidirect
694. #10621872#41semidirect
698. C8×D43#41semidirect
887. #3179D43semidirect
930. #542C2×D43semidirect
936. #540C2×D43semidirect
971. #501C2×D43semidirect
995. #488C2×D43semidirect
999. #486C2×D43semidirect
1011. #469C2×D43semidirect
1015. #468C2×D43semidirect
1031. #465C2×D43semidirect
1055. #440C2×D43semidirect
1059. C4×SD16C2×D43semidirect
1063. C4×D8C2×D43semidirect
1081. #405C2×D43semidirect
1088. C43#60698semidirect

Maximal subgroups

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

subgroupindex
#191480152
#191480102
#191453322
#191453282
#191453232
#191453172
#191452952
#191452902
#191452882
#191452862
#191452842
#191452782
#191452762
#191452412
#191452392
#191452082
#191452062
#191451222
#191450792
#191449482
#191449442
#191442722
#191442702
#191442522
#191442382
C4×#130633522
C4×#130633492
#191433902
#442×D432
#191430222
C43×#31792
#6069843