Finite Group Databasebeta

← #25966643

Subgroups — #25966643

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#19148026C211yesmaximal, characteristic, complemented
2#19148009C211yesmaximal, characteristic, complemented
3#19145324C211yesmaximal, characteristic, complemented
4#19145320C211yesmaximal, characteristic, complemented
5#19145310C211yesmaximal, characteristic, complemented
6#19145300C211yesmaximal, characteristic, complemented
7#19145298C211yesmaximal, characteristic, complemented
8#19145289C211yesmaximal, characteristic, complemented
9#19145287C211yesmaximal, characteristic, complemented
10#19145285C211yesmaximal, characteristic, complemented
11#19145271C211yesmaximal, characteristic, complemented
12#19145270C211yesmaximal, characteristic, complemented
13#19145256C211yesmaximal, characteristic, complemented
14#19145237C211yesmaximal, characteristic, complemented
15#19145229C211yesmaximal, characteristic, complemented
16#19145220C211yesmaximal, characteristic, complemented
17#19145218C211yesmaximal, characteristic, complemented
18#19145128C211yesmaximal, characteristic, complemented
19#19145064C211yesmaximal, characteristic, complemented
20#19144955C211yesmaximal, characteristic, complemented
21#19144944C211yesmaximal, characteristic, complemented
22#19144281C211yesmaximal, characteristic, complemented
23#19144270C211yesmaximal, characteristic, complemented
24#19144263C211yesmaximal, characteristic, complemented
25#19144232C211yesmaximal, characteristic, complemented
26#19143417C211yesmaximal, characteristic, complemented
27#19143400C211yesmaximal, characteristic, complemented
28#19143390C211yesmaximal, characteristic, complemented
29#440×D43C211yesmaximal, characteristic, complemented
30#19143024C211yesmaximal, characteristic, complemented
31C43×#3182C211yesmaximal, characteristic, complemented
32C2×#13063354C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C2×#13063346C2211yescharacteristic
35C2×SD16×D43C2211yescharacteristic
36C2×#13063333C2211yescharacteristic
37C2×#13063333C2211yescharacteristic
38#14583526C2211yescharacteristic
39#14583526C2211yescharacteristic
40#14583523C2211yescharacteristic
41#14583523C2211yescharacteristic, complemented
42#14583522C2211yescharacteristic, complemented
43#14583519—21no—
44#14583516C2211yescharacteristic
45#14583513—21no—
46#14583510C2211yescharacteristic, complemented
47#14583509C2211yescharacteristic, complemented
48#14583508—21no—
49#14583503C2211yescharacteristic
50#14583502C2211yescharacteristic
51#14583499—21no—
52#14583497—21no—
53#14583495—21no—
54#14583483—21no—
55#14583481—21no—
56#14583479C2211yescharacteristic
57#14583478C2211yescharacteristic
58#14583474C2211yescharacteristic
59#14583472C2211yescharacteristic
60#14583465C2211yescharacteristic
61#14583462C2211yescharacteristic
62#14583453—21no—
63#14583453C2211yescharacteristic, complemented
64#14583446C2211yescharacteristic
65#14583445—21no—
66#14583436—21no—
67#14583436C2211yescharacteristic, complemented
68#14583433C2211yescharacteristic
69#14583433C2211yescharacteristic, complemented
70#14583431C2211yescharacteristic
71#14583429—21no—
72#14583427—21no—
73#14583427—21no—
74#14583408—21no—
75#14583406—21no—
76C4×#10621902C2211yescharacteristic
77C4×#10621898C2211yescharacteristic
78C4×#10621900C2211yescharacteristic
79C4×Q8×D43C2211yescharacteristic
80C4×D4×D43C2211yescharacteristic
81#14583307C2211yescharacteristic, complemented
82#14583307C2211yescharacteristic, complemented
83#14583305C2211yescharacteristic, complemented
84#14583305C2211yescharacteristic, complemented
85#14583303C2211yescharacteristic, complemented
86#14583301C2211yescharacteristic, complemented
87#14583300C2211yescharacteristic, complemented
88#14583291C2211yescharacteristic
89#14583290C2211yescharacteristic
90#14583286C2211yescharacteristic
91#14583285C2211yescharacteristic
92#14583283C2211yescharacteristic
93#14583280C2211yescharacteristic
94#14583270C2211yescharacteristic
95#14583267C2211yescharacteristic, complemented
96#14583266C2211yescharacteristic, complemented
97#14583263C2211yescharacteristic
98#14583262C2211yescharacteristic
99#14583261C2211yescharacteristic
100#14583261C2211yescharacteristic, complemented
101#14583260C2211yescharacteristic, complemented
102#14583257C2211yescharacteristic
103#14583255C2211yescharacteristic, complemented
104#14583254C2211yescharacteristic
105#14583254C2211yescharacteristic, complemented
106#14583252C2211yescharacteristic
107#14583248C2211yescharacteristic, complemented
108#14583244C2211yescharacteristic
109#14583157C2211yescharacteristic, complemented
110#14583156C2211yescharacteristic, complemented
111#14583152C2211yescharacteristic
112#14583151C2211yescharacteristic
113#14583148C2211yescharacteristic
114#14583146C2211yescharacteristic
115#14583146C2211yescharacteristic, complemented
116#14583145C2211yescharacteristic
117#14583145C2211yescharacteristic, complemented
118#14583144C2211yescharacteristic, complemented
119#14583142C2211yescharacteristic
120#14583142C2211yescharacteristic, complemented
121#14583141C2211yescharacteristic, complemented
122#14583139C2211yescharacteristic, complemented
123#14583138C2211yescharacteristic, complemented
124#14583138C2211yescharacteristic, complemented
125#14583136C2211yescharacteristic
126#14583134C2211yescharacteristic, complemented
127#14583133C2211yescharacteristic
128#14583133C2211yescharacteristic, complemented
129#14583131C2211yescharacteristic
130#14583130C2211yescharacteristic
131#14583130C2211yescharacteristic
132#14583127C2211yescharacteristic
133#14583126C2211yescharacteristic
134#14583126C2211yescharacteristic, complemented
135#14583125C2211yescharacteristic
136#14583125C2211yescharacteristic, complemented
137#14583012C2211yescharacteristic
138#14583009C2211yescharacteristic
139#14583009C2211yescharacteristic, complemented
140#14583008C2211yescharacteristic, complemented
141#14583007C2211yescharacteristic, complemented
142#14583004C2211yescharacteristic, complemented
143#14583004C2211yescharacteristic, complemented
144#14583003C2211yescharacteristic, complemented
145#14583002C2211yescharacteristic
146#14583001C2211yescharacteristic
147#14583001C2211yescharacteristic, complemented
148#14583000C2211yescharacteristic
149#14583000C2211yescharacteristic, complemented
150#14582999C2211yescharacteristic
151#14582999C2211yescharacteristic, complemented
152#14582998C2211yescharacteristic
153#14582998C2211yescharacteristic, complemented
154#14582997C2211yescharacteristic
155#14582997C2211yescharacteristic
156#14582996C2211yescharacteristic
157#14582993C2211yescharacteristic, complemented
158#14582991C2211yescharacteristic, complemented
159#14582990C2211yescharacteristic, complemented
160SD16×Dic43C2211yescharacteristic
161SD16×Dic43C2211yescharacteristic, complemented
162#14582984C2211yescharacteristic
163#14582981C2211yescharacteristic
164#14582979C2211yescharacteristic
165#14582940C2211yescharacteristic
166#14582940C2211yescharacteristic
167#14582936C2211yescharacteristic
168#107×D43C2211yescharacteristic
169#14582906C2211yescharacteristic
170#14582902C2211yescharacteristic
171#14582899C2211yescharacteristic
172#14582897C2211yescharacteristic
173#14582894C2211yescharacteristic
174#14582892C2211yescharacteristic
175#103×D43C2211yescharacteristic
176#102×D43C2211yescharacteristic
177#14582857C2211yescharacteristic, complemented
178#14582857C2211yescharacteristic, complemented
179#14582853C2211yescharacteristic
180#14582853C2211yescharacteristic
181#14582853C2211yescharacteristic, complemented
182#14582853C2211yescharacteristic, complemented
183#14582851C2211yescharacteristic
184#14582851C2211yescharacteristic, complemented
185C2×#13063236C2211yescharacteristic, complemented
186#97×D43C2211yescharacteristic
187#97×D43C2211yescharacteristic, complemented
188C43×#533C2211yescharacteristic, complemented
189C43×#532C2211yescharacteristic
190C43×#500C2211yescharacteristic, complemented
191C43×#492C2211yescharacteristic
192C43×#487C2211yescharacteristic, complemented
193C43×#486C2211yescharacteristic
194C43×#468C2211yescharacteristic
195C43×#468C2211yescharacteristic
196C43×#468C2211yescharacteristic, complemented
197C43×#468C2211yescharacteristic, complemented
198C43×#440C2211yescharacteristic
199C43×#440C2211yescharacteristic
200C43×#440C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic, complemented
202C4×M16×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898C2311yescharacteristic
206C2×#10621900C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209C22×C4×D43—21no—
210#13063354—24no—
211#13063352—24no—
212#13063346—24no—
213C2×Dic172C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222SD16×D43—24no—
223C2×D344C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226#13063333—24no—
227#13063333—24no—
228C2×#10621872C2311yescharacteristic
229C2×#10621872C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C22×C43⋊C8C2311yescharacteristic
233C22×C43⋊C8C2311yescharacteristic
234C2×C8×D43C2311yescharacteristic
235C2×C8×D43C2311yescharacteristic
236C2×C8×D43C2311yescharacteristic
237C2×C8×D43C2311yescharacteristic
238#13063324—21no—
239#13063324C2311yescharacteristic
240#13063324C2311yescharacteristic
241#13063323—21no—
242#13063323—21no—
243#13063323C2311yescharacteristic
244#13063321—21no—
245#13063321C2311yescharacteristic
246#13063320—21no—
247#13063320—21no—
248#13063320—21no—
249#13063320—21no—
250#13063320—21no—
251#13063320—21no—
252#13063319—21no—
253#13063319—21no—
254#13063318—21no—
255#13063318—21no—
256#13063318—21no—
257#13063318—21no—
258#13063317C2311yescharacteristic
259#13063317C2311yescharacteristic
260#13063316—21no—
261#13063316C2311yescharacteristic
262#13063316C2311yescharacteristic
263#13063315—21no—
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063314—21no—
270#13063314—21no—
271#13063314C2311yescharacteristic
272#13063313C2311yescharacteristic
273#13063313C2311yescharacteristic
274#13063312—21no—
275#13063312C2311yescharacteristic
276#13063311—21no—
277#13063311—21no—
278#13063311—21no—
279#13063311—21no—
280#13063310—21no—
281#13063310—21no—
282#13063310—21no—
283#13063310—21no—
284#13063310—21no—
285#13063310—21no—
286#13063309—21no—
287#13063308—21no—
288#13063308—21no—
289#13063307—21no—
290#13063307—21no—
291#13063307—21no—
292#13063307—21no—
293#13063306—21no—
294#13063306—21no—
295#13063306—21no—
296#13063305—21no—
297#13063305C2311yescharacteristic
298#13063305C2311yescharacteristic
299#13063304C2311yescharacteristic
300#13063304C2311yescharacteristic
301#13063303—21no—
302#13063303—21no—
303#13063303—21no—
304#13063303—21no—
305#13063303—21no—
306#13063303—21no—
307#13063302—21no—
308#13063302—21no—
309#13063301—21no—
310#13063301—21no—
311#13063301—21no—
312#13063301—21no—
313#13063301C2311yescharacteristic
314#13063301C2311yescharacteristic
315#13063300—21no—
316#13063300C2311yescharacteristic
317#13063300C2311yescharacteristic
318#13063299C2311yescharacteristic
319#13063299C2311yescharacteristic
320#13063298—21no—
321#13063298—21no—
322#13063298—21no—
323#13063298—21no—
324#13063297—21no—
325#13063297—21no—
326#13063297—21no—
327#13063297—21no—
328#13063297—21no—
329#13063297—21no—
330#13063296—21no—
331#13063296—21no—
332#13063296C2311yescharacteristic
333#13063296C2311yescharacteristic
334#13063295—21no—
335#13063293—21no—
336#13063293—21no—
337#13063293—21no—
338Q8×Dic43C2311yescharacteristic
339Q8×Dic43C2311yescharacteristic
340C4×Dic86—21no—
341C4×Dic86—21no—
342C4×Dic86D411yescharacteristic
343C4×Dic86D411yescharacteristic
344C4×Dic86C2311yescharacteristic
345C4×Dic86C2311yescharacteristic
346#13063290—21no—
347#13063290C2311yescharacteristic
348#13063290C2311yescharacteristic
349C4×D172—21no—
350C4×D172—21no—
351C4×D172D411yescharacteristic
352C4×D172D411yescharacteristic
353C4×D172C2311yescharacteristic
354C4×D172C2311yescharacteristic
355D4×Dic43C2311yescharacteristic
356D4×Dic43C2311yescharacteristic
357#13063287—21no—
358#13063287C2311yescharacteristic
359#13063287C2311yescharacteristic
360C4×C22⋊D43—21no—
361C4×C22⋊D43—21no—
362C4×C22⋊D43—21no—
363C4×C22⋊D43—21no—
364C4×C22⋊D43—21no—
365C4×C22⋊D43—21no—
366C4×C22⋊D43D411yescharacteristic
367C4×C22⋊D43D411yescharacteristic
368C4×C22⋊D43D411yescharacteristic
369C4×C22⋊D43D411yescharacteristic
370(C22⋊D43)⋊C4—21no—
371(C22⋊D43)⋊C4—21no—
372#13063284—21no—
373#13063284C2311yescharacteristic
374#13063283—21no—
375#13063283C2311yescharacteristic
376#13063283C2311yescharacteristic
377#13063282—21no—
378#13063282—21no—
379#13063282—21no—
380#13063282—21no—
381#13063282C2311yescharacteristic
382#13063282C2311yescharacteristic
383#13063281—21no—
384C4⋊C4×D43—21no—
385C4⋊C4×D43C2311yescharacteristic
386C4⋊C4×D43C2311yescharacteristic
387C22⋊C4×D43—21no—
388C2×C4×Dic43—21no—
389C42×D43—21no—
390C42×D43—21no—
391C42×D43C2311yescharacteristic
392C42×D43C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063257C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063245C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435#13063235C2311yescharacteristic
436#13063235C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C8×Dic43C2311yescharacteristic
439C8×Dic43C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C2×#41×C43—21no—
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C2×SD16×C43C2311yescharacteristic
446C2×M16×C43C2311yescharacteristic
447C2×M16×C43C2311yescharacteristic
448C4⋊Q8×C43C2311yescharacteristic
449C4⋊Q8×C43C2311yescharacteristic
450C4⋊Q8×C43C2311yescharacteristic
451#127×C43C2311yescharacteristic
452#125×C43—21no—
453#124×C43—21no—
454C22⋊Q8×C43—21no—
455C22⋊Q8×C43C2311yescharacteristic
456C22⋊Q8×C43C2311yescharacteristic
457#121×C43—21no—
458#121×C43C2311yescharacteristic
459#121×C43C2311yescharacteristic
460C4×Q8×C43—21no—
461C4×Q8×C43C2311yescharacteristic
462C4×Q8×C43C2311yescharacteristic
463C4×D4×C43—21no—
464C4×D4×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466#117×C43—21no—
467C2×C42×C43C2311yescharacteristic
468#107×C43C2311yescharacteristic
469#107×C43C2311yescharacteristic
470#107×C43C2311yescharacteristic
471#107×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×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—
485#41×C43—82no—
486C2×Q8×C43—21no—
487C2×Q8×C43—21no—
488C2×Q8×C43C2411yescharacteristic
489C2×Q8×C43C2411yescharacteristic
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43C2411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43C2×D411yescharacteristic
499C22×C4×C43C2×D411yescharacteristic
500C22×C4×C43C2411yescharacteristic
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⋊D43C2×D411yescharacteristic
510C2×C22⋊D43C2×D411yescharacteristic
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514#10621902—22no—
515#10621902—22no—
516Q8×D43—22no—
517Q8×D43—22no—
518#10621900—22no—
519#10621900—22no—
520D4×D43—22no—
521D4×D43—22no—
522#10621898—22no—
523#10621898—22no—
524#10621898—82no—
525C2×D172—21no—
526C2×D172—21no—
527C2×D172—21no—
528C2×D172C2×D411yescharacteristic
529C2×D172C2411yescharacteristic
530C2×D172C2411yescharacteristic
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×Dic86C2×D411yescharacteristic
550C2×Dic86C2411yescharacteristic
551C2×Dic86C2411yescharacteristic
552SD16×C43—22no—
553SD16×C43—22no—
554SD16×C43—22no—
555SD16×C43—22no—
556M16×C43—22no—
557M16×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×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
572C4⋊C4×C43C2411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C42×C43—21no—
581C42×C43—21no—
582C42×C43C2×D411yescharacteristic
583C42×C43C2×D411yescharacteristic
584C42×C43C2411yescharacteristic
585C42×C43C2411yescharacteristic
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43C2×D411yescharacteristic
595C22⋊Dic43C2×D411yescharacteristic
596#10621885—22no—
597#10621885—22no—
598#10621884—22no—
599#10621884—22no—
600#10621883—22no—
601#10621883—22no—
602#10621882—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)⋊C4C2×D411yescharacteristic
625(C2×D43)⋊C4C2×D411yescharacteristic
626(C2×D43)⋊C4C2×D411yescharacteristic
627(C2×D43)⋊C4C2×D411yescharacteristic
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43C2×D411yescharacteristic
635C4⋊Dic43C2×D411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
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⋊C4—21no—
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43C2×D411yescharacteristic
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2×D411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678C2×C43⋊C8—22no—
679C2×C43⋊C8—22no—
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684Dic172—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×C43—21no—
698C23×C43C22×D411yescharacteristic
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—81no—
711Q8×C43—81no—
712D4×C43—21no—
713D4×C43—21no—
714D4×C43—21no—
715D4×C43—21no—
716D4×C43—81no—
717D4×C43—81no—
718D4×C43—81no—
719D4×C43—81no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—41no—
729C2×C4×C43—41no—
730C2×C4×C43—42no—
731C2×C4×C43—42no—
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C22×D411yescharacteristic
734C2×C4×C43C22×D411yescharacteristic
735C2×C4×C43C22×D411yescharacteristic
736C2×C4×C43C22×D411yescharacteristic
737C2×C4×C43C2511yescharacteristic
738C22⋊D43—22no—
739C22⋊D43—22no—
740C22⋊D43—42no—
741C22⋊D43—42no—
742C22⋊D43—81no—
743C22⋊D43—81no—
744C22⋊D43—81no—
745C22⋊D43—81no—
746C22⋊D43—81no—
747C22⋊D43—81no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—42no—
755C2×Dic43—81no—
756C2×Dic43—81no—
757C2×Dic43C22×D411yescharacteristic
758C2×Dic43C22×D411yescharacteristic
759C2×Dic43C22×D411yescharacteristic
760C2×Dic43C22×D411yescharacteristic
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763D172—22no—
764D172—21no—
765D172—21no—
766D172—21no—
767D172—21no—
768D172—42no—
769D172—81no—
770D172—81no—
771C4×D43—21no—
772C4×D43—21no—
773C4×D43—41no—
774C4×D43—41no—
775C4×D43—41no—
776C4×D43—41no—
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×D43C2×#4112yes—
786C4×D43C2×#4112yes—
787Dic86—22no—
788Dic86—21no—
789Dic86—21no—
790Dic86—21no—
791Dic86—21no—
792Dic86—42no—
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×C43—41no—
811C22×C43—41no—
812C22×C43—41no—
813C22×C43C23×D411yescharacteristic
814C2×D43—21no—
815C2×D43—21no—
816C2×D43—21no—
817C2×D43—21no—
818C2×D43—21no—
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×C43C22×#4111yescharacteristic
839C4×C43C22×#4111yescharacteristic
840Dic43—21no—
841Dic43—21no—
842Dic43—21no—
843Dic43—21no—
844Dic43—21no—
845Dic43—41no—
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#3182D4311yescharacteristic, complemented
858#3181—431no—
859#3181—431no—
860#3180—431no—
861#3180—431no—
862#3179—431no—
863#3179—431no—
864#3178—431no—
865#3178—431no—
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×C43—81no—
886C2×C43C2×#53211yescharacteristic
887C2×C43#358511yescharacteristic
888C2×C43#358611yescharacteristic
889D43—22no—
890D43—41no—
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—431no—
905#542—861no—
906#542—861no—
907#541—431no—
908#541—431no—
909#541—861no—
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—861no—
925#533C2×D4311yescharacteristic, complemented
926#532—431no—
927#532—861no—
928#532C2×D4311yescharacteristic
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#501—431no—
948#500—431no—
949#500C2×D4311yescharacteristic, complemented
950#499—431no—
951#499—431no—
952#497—431no—
953#497—431no—
954#496—431no—
955#496—431no—
956#495—431no—
957#495—431no—
958#492—431no—
959#492C2×D4311yescharacteristic
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#488—431no—
972#487—431no—
973#487C2×D4311yescharacteristic, complemented
974#486—431no—
975#486C2×D4311yescharacteristic
976#470—431no—
977#470—431no—
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#468C2×D4311yescharacteristic
989#468C2×D4311yescharacteristic
990#468C2×D4311yescharacteristic, complemented
991#468C2×D4311yescharacteristic, complemented
992#467—431no—
993#467—431no—
994#467—431no—
995#467—431no—
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#465—431no—
1008#442—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#441—431no—
1013#441—431no—
1014#441—431no—
1015#441—431no—
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#440C2×D4311yescharacteristic
1029#440C2×D4311yescharacteristic
1030#440C2×D4311yescharacteristic, complemented
1031#440C2×D4311yescharacteristic, complemented
1032C4×Q16—431no—
1033C4×Q16—431no—
1034C4×SD16—431no—
1035C4×SD16—431no—
1036C4×SD16—431no—
1037C4×SD16—431no—
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#405—431no—
1058C4×M16—431no—
1059C4×M16—431no—
1060C4×M16C2×D4311yescharacteristic, complemented
1061C2×#97—431no—
1062C2×#97—431no—
1063C2×#97—431no—
1064C43#6069711yescharacteristic, complemented, Sylow
1065C2×#41—21no—
1066C2×#41—431no—
1067C2×#41—431no—
1068C2×#41—431no—
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×Q16—431no—
1078C2×Q16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16—431no—
1083C2×SD16—431no—
1084C2×SD16—431no—
1085C2×SD16—864no—
1086C2×SD16C22×D4311yescharacteristic
1087C2×SD16C22×D4311yescharacteristic
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×M16C22×D4311yescharacteristic
1100C2×M16C22×D4311yescharacteristic
1101C22×C8—431no—
1102C22×C8—431no—
1103C22×C8—431no—
1104C22×C8—431no—
1105C22×C8—431no—
1106C22×C8—431no—
1107C4⋊Q8—431no—
1108C4⋊Q8—431no—
1109C4⋊Q8—431no—
1110C4⋊Q8—861no—
1111C4⋊Q8—861no—
1112C4⋊Q8—861no—
1113C4⋊Q8C22×D4311yescharacteristic
1114C4⋊Q8C22×D4311yescharacteristic
1115C4⋊Q8C22×D4311yescharacteristic
1116#127—431no—
1117#127—861no—
1118#127C22×D4311yescharacteristic
1119#126—861no—
1120#126—861no—
1121#126—861no—
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—431no—
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#125—861no—
1143#124—21no—
1144#124—431no—
1145#124—431no—
1146#124—431no—
1147#124—431no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#123—861no—
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—431no—
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⋊Q8—861no—
1191C22⋊Q8C22×D4311yescharacteristic
1192C22⋊Q8C22×D4311yescharacteristic
1193#121—21no—
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#121C22×D4311yescharacteristic
1214#121C22×D4311yescharacteristic
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219C4×Q8—21no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—431no—
1226C4×Q8—431no—
1227C4×Q8—431no—
1228C4×Q8—861no—
1229C4×Q8—861no—
1230C4×Q8—861no—
1231C4×Q8C22×D4311yescharacteristic
1232C4×Q8C22×D4311yescharacteristic
1233C4×D4—21no—
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×D4C22×D4311yescharacteristic
1258C4×D4C22×D4311yescharacteristic
1259#117—21no—
1260#117—431no—
1261#117—431no—
1262#117—431no—
1263#117—431no—
1264#117—431no—
1265#117—861no—
1266#117—861no—
1267#117—861no—
1268#117—861no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272C2×C4⋊C4—431no—
1273C2×C4⋊C4—431no—
1274C2×C4⋊C4—861no—
1275C2×C22⋊C4—861no—
1276C2×C42—431no—
1277C2×C42—431no—
1278C2×C42—861no—
1279C2×C42—861no—
1280C2×C42—861no—
1281C2×C42C22×D4311yescharacteristic
1282#107—431no—
1283#107—431no—
1284#107—431no—
1285#107—431no—
1286#107—431no—
1287#107—431no—
1288#107C22×D4311yescharacteristic
1289#107C22×D4311yescharacteristic
1290#107C22×D4311yescharacteristic
1291#107C22×D4311yescharacteristic
1292#106—431no—
1293#106—431no—
1294#106—431no—
1295#106—431no—
1296#106—431no—
1297#106—431no—
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#103—431no—
1309#103—431no—
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#102C22×D4311yescharacteristic
1327#102C22×D4311yescharacteristic
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—82no—
1348#41—862no—
1349#41—862no—
1350#41—862no—
1351#41—862no—
1352#41—862no—
1353#41—862no—
1354#41—3442no—
1355C2×Q8—21no—
1356C2×Q8—21no—
1357C2×Q8—431no—
1358C2×Q8—431no—
1359C2×Q8—431no—
1360C2×Q8—861no—
1361C2×Q8—861no—
1362C2×Q8—861no—
1363C2×Q8—862no—
1364C2×Q8—862no—
1365C2×Q8C23×D4311yescharacteristic
1366C2×Q8C23×D4311yescharacteristic
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—431no—
1372C2×D4—431no—
1373C2×D4—431no—
1374C2×D4—431no—
1375C2×D4—431no—
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×D4C23×D4311yescharacteristic
1390C2×D4C23×D4311yescharacteristic
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—431no—
1394C22×C4—431no—
1395C22×C4—431no—
1396C22×C4—431no—
1397C22×C4—431no—
1398C22×C4—431no—
1399C22×C4—861no—
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—3442no—
1411C22×C4D4×D4311yescharacteristic
1412C22×C4D4×D4311yescharacteristic
1413C22×C4C23×D4311yescharacteristic
1414Q16—862no—
1415Q16—862no—
1416Q16—862no—
1417SD16—22no—
1418SD16—22no—
1419SD16—22no—
1420SD16—22no—
1421SD16—862no—
1422SD16—862no—
1423SD16—862no—
1424SD16—862no—
1425SD16—862no—
1426SD16—862no—
1427D8—862no—
1428D8—862no—
1429D8—862no—
1430M16—22no—
1431M16—22no—
1432M16—434no—
1433M16—862no—
1434M16—862no—
1435M16—862no—
1436C2×C8—431no—
1437C2×C8—431no—
1438C2×C8—434no—
1439C2×C8—431no—
1440C2×C8—431no—
1441C2×C8—862no—
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—431no—
1459C4⋊C4—431no—
1460C4⋊C4—431no—
1461C4⋊C4—431no—
1462C4⋊C4—431no—
1463C4⋊C4—431no—
1464C4⋊C4—431no—
1465C4⋊C4—431no—
1466C4⋊C4—431no—
1467C4⋊C4—431no—
1468C4⋊C4—861no—
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⋊C4—861no—
1493C4⋊C4—861no—
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—431no—
1505C22⋊C4—431no—
1506C22⋊C4—431no—
1507C22⋊C4—431no—
1508C22⋊C4—431no—
1509C22⋊C4—431no—
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⋊C4—861no—
1537C22⋊C4—861no—
1538C42—21no—
1539C42—21no—
1540C42—431no—
1541C42—431no—
1542C42—431no—
1543C42—431no—
1544C42—431no—
1545C42—431no—
1546C42—861no—
1547C42—861no—
1548C42—861no—
1549C42—861no—
1550C42—861no—
1551C42—861no—
1552C42—861no—
1553C42—861no—
1554C42D4×D4311yescharacteristic
1555C42D4×D4311yescharacteristic
1556C42C23×D4311yescharacteristic
1557C42C23×D4311yescharacteristic
1558C23—21no—
1559C23—21no—
1560C23—431no—
1561C23—431no—
1562C23—861no—
1563C23—861no—
1564C23—3441no—
1565C23—3441no—
1566C23—1722no—
1567C23C2×D4×D4311yescharacteristic
1568Q8—21no—
1569Q8—21no—
1570Q8—21no—
1571Q8—21no—
1572Q8—81no—
1573Q8—81no—
1574Q8—862no—
1575Q8—861no—
1576Q8—861no—
1577Q8—861no—
1578Q8—861no—
1579Q8—3441no—
1580Q8—3441no—
1581Q8—1722no—
1582D4—21no—
1583D4—21no—
1584D4—21no—
1585D4—21no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589D4—81no—
1590D4—862no—
1591D4—862no—
1592D4—862no—
1593D4—861no—
1594D4—861no—
1595D4—861no—
1596D4—861no—
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—41no—
1617C2×C4—41no—
1618C2×C4—42no—
1619C2×C4—42no—
1620C2×C4—431no—
1621C2×C4—432no—
1622C2×C4—432no—
1623C2×C4—431no—
1624C2×C4—431no—
1625C2×C4—431no—
1626C2×C4—431no—
1627C2×C4—431no—
1628C2×C4—861no—
1629C2×C4—861no—
1630C2×C4—861no—
1631C2×C4—861no—
1632C2×C4—861no—
1633C2×C4—861no—
1634C2×C4—861no—
1635C2×C4—861no—
1636C2×C4—3441no—
1637C2×C4—3441no—
1638C2×C4—3441no—
1639C2×C4—3441no—
1640C2×C4—3441no—
1641C2×C4—3441no—
1642C2×C4—1721no—
1643C2×C4—1721no—
1644C2×C4—1721no—
1645C2×C4—1721no—
1646C2×C4—1722no—
1647C2×C4—1722no—
1648C2×C4—1722no—
1649C2×C4—1722no—
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—41no—
1672C22—41no—
1673C22—41no—
1674C22—432no—
1675C22—861no—
1676C22—861no—
1677C22—861no—
1678C22—861no—
1679C22—861no—
1680C22—3444no—
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—432no—
1700C4—861no—
1701C4—861no—
1702C4—861no—
1703C4—861no—
1704C4—861no—
1705C4—1721no—
1706C4—1721no—
1707C4—1721no—
1708C4—1721no—
1709C4—1721no—
1710C4—1721no—
1711C4C2×#41×D4311yescharacteristic
1712C4C2×#41×D4311yescharacteristic
1713C2—41no—
1714C2—81no—
1715C2—81no—
1716C2—862no—
1717C2—3441no—
1718C2—3441no—
1719C2—1721no—
1720C2#532×D4311yescharacteristic
1721C2#1914937111yescharacteristic
1722C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3182C2
socleC22×C43C23×D4
hypercenter#3182D43
hypocenterC43#60697
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3182

Complements

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

NH ≅ G/Ntype
1. #19148026C2semidirect
2. #19148009C2semidirect
3. #19145324C2semidirect
4. #19145320C2semidirect
5. #19145310C2semidirect
6. #19145300C2semidirect
7. #19145298C2semidirect
8. #19145289C2semidirect
9. #19145287C2semidirect
10. #19145285C2semidirect
11. #19145271C2semidirect
12. #19145270C2semidirect
13. #19145256C2semidirect
14. #19145237C2semidirect
15. #19145229C2semidirect
16. #19145220C2semidirect
17. #19145218C2semidirect
18. #19145128C2semidirect
19. #19145064C2semidirect
20. #19144955C2semidirect
21. #19144944C2semidirect
22. #19144281C2semidirect
23. #19144270C2semidirect
24. #19144263C2semidirect
25. #19144232C2semidirect
26. #19143417C2semidirect
27. #19143400C2semidirect
28. #19143390C2semidirect
29. #440×D43C2semidirect
30. #19143024C2semidirect
31. C43×#3182C2semidirect
41. #14583523C22semidirect
42. #14583522C22semidirect
46. #14583510C22semidirect
47. #14583509C22semidirect
63. #14583453C22semidirect
67. #14583436C22semidirect
69. #14583433C22semidirect
81. #14583307C22semidirect
82. #14583307C22semidirect
83. #14583305C22semidirect
84. #14583305C22semidirect
85. #14583303C22semidirect
86. #14583301C22semidirect
87. #14583300C22semidirect
95. #14583267C22semidirect
96. #14583266C22semidirect
100. #14583261C22semidirect
101. #14583260C22semidirect
103. #14583255C22semidirect
105. #14583254C22semidirect
107. #14583248C22semidirect
109. #14583157C22semidirect
110. #14583156C22semidirect
115. #14583146C22semidirect
117. #14583145C22semidirect
118. #14583144C22semidirect
120. #14583142C22semidirect
121. #14583141C22semidirect
122. #14583139C22semidirect
123. #14583138C22semidirect
124. #14583138C22semidirect
126. #14583134C22semidirect
128. #14583133C22semidirect
134. #14583126C22semidirect
136. #14583125C22semidirect
139. #14583009C22semidirect
140. #14583008C22semidirect
141. #14583007C22semidirect
142. #14583004C22semidirect
143. #14583004C22semidirect
144. #14583003C22semidirect
147. #14583001C22semidirect
149. #14583000C22semidirect
151. #14582999C22semidirect
153. #14582998C22semidirect
157. #14582993C22semidirect
158. #14582991C22semidirect
159. #14582990C22semidirect
161. SD16×Dic43C22semidirect
177. #14582857C22semidirect
178. #14582857C22semidirect
181. #14582853C22semidirect
182. #14582853C22semidirect
184. #14582851C22semidirect
185. C2×#13063236C22semidirect
187. #97×D43C22semidirect
188. C43×#533C22semidirect
190. C43×#500C22semidirect
192. C43×#487C22semidirect
196. C43×#468C22semidirect
197. C43×#468C22semidirect
200. C43×#440C22semidirect
201. C43×#440C22semidirect
202. C4×M16×C43C22semidirect
691. #10621872#41semidirect
695. C8×D43#41semidirect
857. #3182D43semidirect
925. #533C2×D43semidirect
949. #500C2×D43semidirect
973. #487C2×D43semidirect
990. #468C2×D43semidirect
991. #468C2×D43semidirect
1030. #440C2×D43semidirect
1031. #440C2×D43semidirect
1060. C4×M16C2×D43semidirect
1064. C43#60697semidirect

Maximal subgroups

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

subgroupindex
#191480262
#191480092
#191453242
#191453202
#191453102
#191453002
#191452982
#191452892
#191452872
#191452852
#191452712
#191452702
#191452562
#191452372
#191452292
#191452202
#191452182
#191451282
#191450642
#191449552
#191449442
#191442812
#191442702
#191442632
#191442322
#191434172
#191434002
#191433902
#440×D432
#191430242
C43×#31822
#6069743