Finite Group Databasebeta

← #25966647

Subgroups — #25966647

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#19148016C211yesmaximal, characteristic, complemented
3#19145327C211yesmaximal, characteristic, complemented
4#19145318C211yesmaximal, characteristic, complemented
5#19145314C211yesmaximal, characteristic, complemented
6#19145310C211yesmaximal, characteristic, complemented
7#19145302C211yesmaximal, characteristic, complemented
8#19145293C211yesmaximal, characteristic, complemented
9#19145289C211yesmaximal, characteristic, complemented
10#19145283C211yesmaximal, characteristic, complemented
11#19145273C211yesmaximal, characteristic, complemented
12#19145266C211yesmaximal, characteristic, complemented
13#19145260C211yesmaximal, characteristic, complemented
14#19145235C211yesmaximal, characteristic, complemented
15#19145233C211yesmaximal, characteristic, complemented
16#19145226C211yesmaximal, characteristic, complemented
17#19145216C211yesmaximal, characteristic, complemented
18#19145130C211yesmaximal, characteristic, complemented
19#19145070C211yesmaximal, characteristic, complemented
20#19144961C211yesmaximal, characteristic, complemented
21#19144946C211yesmaximal, characteristic, complemented
22#19144285C211yesmaximal, characteristic, complemented
23#19144268C211yesmaximal, characteristic, complemented
24#19144266C211yesmaximal, characteristic, complemented
25#19144229C211yesmaximal, characteristic, complemented
26#19143411C211yesmaximal, characteristic, complemented
27#19143400C211yesmaximal, characteristic, complemented
28#19143394C211yesmaximal, characteristic, complemented
29#440×D43C211yesmaximal, characteristic, complemented
30#19143020C211yesmaximal, characteristic, complemented
31C43×#3181C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C2×#13063348C2211yescharacteristic
35C2×SD16×D43C2211yescharacteristic
36C2×#13063331C2211yescharacteristic
37C2×#13063331C2211yescharacteristic
38#14583529C2211yescharacteristic
39#14583526C2211yescharacteristic
40#14583523C2211yescharacteristic, complemented
41#14583522C2211yescharacteristic
42#14583522C2211yescharacteristic, complemented
43#14583519—21no—
44#14583518C2211yescharacteristic
45#14583515—21no—
46#14583510C2211yescharacteristic, complemented
47#14583509C2211yescharacteristic, complemented
48#14583508—21no—
49#14583505C2211yescharacteristic
50#14583502C2211yescharacteristic
51#14583501—21no—
52#14583497—21no—
53#14583495—21no—
54#14583488—21no—
55#14583485—21no—
56#14583479C2211yescharacteristic
57#14583479C2211yescharacteristic
58#14583474C2211yescharacteristic
59#14583472C2211yescharacteristic
60#14583467C2211yescharacteristic
61#14583465C2211yescharacteristic
62#14583453—21no—
63#14583453C2211yescharacteristic, complemented
64#14583449C2211yescharacteristic
65#14583446—21no—
66#14583446C2211yescharacteristic
67#14583436—21no—
68#14583436C2211yescharacteristic
69#14583436C2211yescharacteristic, complemented
70#14583433C2211yescharacteristic, complemented
71#14583427—21no—
72#14583427—21no—
73#14583427—21no—
74#14583411—21no—
75#14583408—21no—
76C4×#10621902C2211yescharacteristic
77C4×#10621902C2211yescharacteristic
78C4×#10621898C2211yescharacteristic
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#14583266C2211yescharacteristic, complemented
96#14583264C2211yescharacteristic
97#14583262C2211yescharacteristic
98#14583260C2211yescharacteristic
99#14583260C2211yescharacteristic, complemented
100#14583259C2211yescharacteristic, complemented
101#14583256C2211yescharacteristic, complemented
102#14583255C2211yescharacteristic
103#14583255C2211yescharacteristic, complemented
104#14583253C2211yescharacteristic
105#14583249C2211yescharacteristic, complemented
106#14583248C2211yescharacteristic, complemented
107#14583247C2211yescharacteristic
108#14583244C2211yescharacteristic
109#14583155C2211yescharacteristic, complemented
110#14583154C2211yescharacteristic, complemented
111#14583153C2211yescharacteristic
112#14583150C2211yescharacteristic
113#14583148C2211yescharacteristic
114#14583148C2211yescharacteristic, complemented
115#14583148C2211yescharacteristic, complemented
116#14583147C2211yescharacteristic
117#14583147C2211yescharacteristic
118#14583147C2211yescharacteristic, complemented
119#14583147C2211yescharacteristic, complemented
120#14583147C2211yescharacteristic, complemented
121#14583146C2211yescharacteristic, complemented
122#14583144C2211yescharacteristic
123#14583143C2211yescharacteristic
124#14583142C2211yescharacteristic
125#14583139C2211yescharacteristic, complemented
126#14583137C2211yescharacteristic, complemented
127#14583136C2211yescharacteristic, complemented
128#14583135C2211yescharacteristic
129#14583135C2211yescharacteristic, complemented
130#14583134C2211yescharacteristic
131#14583131C2211yescharacteristic
132#14583131C2211yescharacteristic, complemented
133#14583129C2211yescharacteristic
134#14583128C2211yescharacteristic
135#14583128C2211yescharacteristic, complemented
136#14583125C2211yescharacteristic
137#14583012C2211yescharacteristic
138#14583012C2211yescharacteristic, complemented
139#14583010C2211yescharacteristic, complemented
140#14583009C2211yescharacteristic
141#14583006C2211yescharacteristic, complemented
142#14583004C2211yescharacteristic, complemented
143#14583002C2211yescharacteristic
144#14583002C2211yescharacteristic, complemented
145#14583002C2211yescharacteristic, complemented
146#14583001C2211yescharacteristic
147#14583001C2211yescharacteristic, complemented
148#14583000C2211yescharacteristic
149#14582999C2211yescharacteristic
150#14582998C2211yescharacteristic
151#14582997C2211yescharacteristic
152#14582997C2211yescharacteristic
153#14582997C2211yescharacteristic, complemented
154#14582997C2211yescharacteristic, complemented
155#14582997C2211yescharacteristic, complemented
156#14582996C2211yescharacteristic
157Q16×Dic43C2211yescharacteristic, complemented
158#14582991C2211yescharacteristic, complemented
159SD16×Dic43C2211yescharacteristic
160#14582986C2211yescharacteristic, complemented
161#14582984C2211yescharacteristic
162#14582984C2211yescharacteristic, complemented
163#14582981C2211yescharacteristic
164#14582979C2211yescharacteristic
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
179#14582856C2211yescharacteristic, complemented
180#14582856C2211yescharacteristic, complemented
181#14582854C2211yescharacteristic, complemented
182#14582854C2211yescharacteristic, complemented
183C4×#10621877C2211yescharacteristic, complemented
184#14582851C2211yescharacteristic
185#14582851C2211yescharacteristic, complemented
186#97×D43C2211yescharacteristic
187#97×D43C2211yescharacteristic, complemented
188C43×#533C2211yescharacteristic, complemented
189C43×#529C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#497C2211yescharacteristic
192C43×#491C2211yescharacteristic, complemented
193C43×#489C2211yescharacteristic
194C43×#467C2211yescharacteristic, complemented
195C43×#467C2211yescharacteristic, complemented
196C43×#465C2211yescharacteristic
197C43×#465C2211yescharacteristic
198C43×#441C2211yescharacteristic, complemented
199C43×#441C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic
201C43×#440C2211yescharacteristic
202C2×#97×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621898—21no—
207C2×#10621898C2311yescharacteristic
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#13063331—24no—
228#13063331—24no—
229C2×#10621877C2311yescharacteristic
230C2×#10621877C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233C2×#10621872C2311yescharacteristic
234C2×#10621872C2311yescharacteristic
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#13063320—21no—
255#13063320—21no—
256#13063319—21no—
257#13063318—21no—
258#13063318—21no—
259#13063318—21no—
260#13063317C2311yescharacteristic
261#13063316—21no—
262#13063316C2311yescharacteristic
263#13063316C2311yescharacteristic
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063315—21no—
270#13063314—21no—
271#13063314C2311yescharacteristic
272#13063314C2311yescharacteristic
273#13063313—21no—
274#13063313C2311yescharacteristic
275#13063311—21no—
276#13063311—21no—
277#13063311—21no—
278#13063311—21no—
279#13063311—21no—
280#13063311—21no—
281#13063310—21no—
282#13063310—21no—
283#13063310—21no—
284#13063310—21no—
285#13063310—21no—
286#13063310—21no—
287#13063310—21no—
288#13063310—21no—
289#13063309—21no—
290#13063309—21no—
291#13063308—21no—
292#13063307—21no—
293#13063307—21no—
294#13063307—21no—
295#13063307—21no—
296#13063305—21no—
297#13063305—21no—
298#13063305—21no—
299#13063305C2311yescharacteristic
300#13063304C2311yescharacteristic
301#13063303—21no—
302#13063303—21no—
303#13063303—21no—
304#13063303—21no—
305#13063303—21no—
306#13063303—21no—
307#13063303—21no—
308#13063302—21no—
309#13063301—21no—
310#13063301—21no—
311#13063301C2311yescharacteristic
312#13063301C2311yescharacteristic
313#13063301C2311yescharacteristic
314#13063300—21no—
315#13063300—21no—
316#13063300—21no—
317#13063300—21no—
318#13063300C2311yescharacteristic
319#13063300C2311yescharacteristic
320#13063300C2311yescharacteristic
321#13063299—21no—
322#13063299C2311yescharacteristic
323#13063299C2311yescharacteristic
324#13063299C2311yescharacteristic
325#13063298—21no—
326#13063298—21no—
327#13063298—21no—
328#13063298—21no—
329#13063298—21no—
330#13063298—21no—
331#13063298—21no—
332#13063297—21no—
333#13063296—21no—
334#13063296C2311yescharacteristic
335#13063295—21no—
336#13063295—21no—
337#13063295—21no—
338#13063293—21no—
339Q8×Dic43C2311yescharacteristic
340Q8×Dic43C2311yescharacteristic
341Q8×Dic43C2311yescharacteristic
342C4×Dic86—21no—
343C4×Dic86—21no—
344C4×Dic86D411yescharacteristic
345C4×Dic86D411yescharacteristic
346C4×Dic86C2311yescharacteristic
347#13063290—21no—
348#13063290C2311yescharacteristic
349C4×D172—21no—
350C4×D172—21no—
351C4×D172—21no—
352C4×D172—21no—
353C4×D172—21no—
354C4×D172D411yescharacteristic
355C4×D172D411yescharacteristic
356C4×D172C2311yescharacteristic
357C4×D172C2311yescharacteristic
358C4×D172C2311yescharacteristic
359D4×Dic43C2311yescharacteristic
360#13063287—21no—
361#13063287—21no—
362#13063287C2311yescharacteristic
363#13063287C2311yescharacteristic
364#13063287C2311yescharacteristic
365C4×C22⋊D43—21no—
366C4×C22⋊D43—21no—
367C4×C22⋊D43—21no—
368C4×C22⋊D43D411yescharacteristic
369C4×C22⋊D43D411yescharacteristic
370C4×C22⋊D43D411yescharacteristic
371C4×C22⋊D43D411yescharacteristic
372(C22⋊D43)⋊C4—21no—
373#13063284C2311yescharacteristic
374#13063283—21no—
375#13063283—21no—
376#13063283C2311yescharacteristic
377#13063283C2311yescharacteristic
378#13063282—21no—
379#13063282—21no—
380#13063282—21no—
381#13063282—21no—
382#13063282C2311yescharacteristic
383#13063282C2311yescharacteristic
384C4⋊C4×D43—21no—
385C4⋊C4×D43C2311yescharacteristic
386C4⋊C4×D43C2311yescharacteristic
387C22⋊C4×D43—21no—
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
435C4×C43⋊C8C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C8×Dic43C2311yescharacteristic
439C8×Dic43C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C2×Q16×C43C2311yescharacteristic
442C2×Q16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C22×C8×C43C2311yescharacteristic
446C22×C8×C43C2311yescharacteristic
447C4⋊Q8×C43C2311yescharacteristic
448C4⋊Q8×C43C2311yescharacteristic
449#126×C43—21no—
450#125×C43—21no—
451#125×C43C2311yescharacteristic
452#124×C43C2311yescharacteristic
453#123×C43—21no—
454C22⋊Q8×C43—21no—
455C22⋊Q8×C43C2311yescharacteristic
456C22⋊Q8×C43C2311yescharacteristic
457C22⋊Q8×C43C2311yescharacteristic
458#121×C43C2311yescharacteristic
459C4×Q8×C43—21no—
460C4×Q8×C43C2311yescharacteristic
461C4×Q8×C43C2311yescharacteristic
462C4×Q8×C43C2311yescharacteristic
463C4×D4×C43—21no—
464C4×D4×C43C2311yescharacteristic
465#117×C43—21no—
466#117×C43—21no—
467C2×C42×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
482#97×C43C2311yescharacteristic
483#97×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×C43C2×D411yescharacteristic
493C22×C4×C43C2×D411yescharacteristic
494C22×C4×C43C2411yescharacteristic
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43C2×D411yescharacteristic
503C2×C22⋊D43C2×D411yescharacteristic
504C22×Dic43—21no—
505#10621902—22no—
506#10621902—22no—
507#10621902—22no—
508#10621902—22no—
509Q8×D43—22no—
510Q8×D43—22no—
511D4×D43—22no—
512D4×D43—22no—
513#10621898—22no—
514#10621898—22no—
515#10621898—82no—
516#10621898—82no—
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—
556C2×C8×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×C43C2411yescharacteristic
574C4⋊C4×C43C2411yescharacteristic
575C4⋊C4×C43C2411yescharacteristic
576C4⋊C4×C43C2411yescharacteristic
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C22⋊C4×C43—21no—
583C22⋊C4×C43—21no—
584C42×C43—21no—
585C42×C43—21no—
586C42×C43—21no—
587C42×C43C2×D411yescharacteristic
588C42×C43C2×D411yescharacteristic
589C42×C43C2411yescharacteristic
590C42×C43C2411yescharacteristic
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43C2×D411yescharacteristic
595C22⋊Dic43C2×D411yescharacteristic
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⋊Dic43C2×D411yescharacteristic
640C4⋊Dic43C2×D411yescharacteristic
641C4⋊Dic43C2411yescharacteristic
642C4⋊Dic43C2411yescharacteristic
643C4⋊Dic43C2411yescharacteristic
644C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
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
678#10621877—22no—
679#10621877—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—41no—
726C2×C4×C43—41no—
727C2×C4×C43—42no—
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C2511yescharacteristic
734C22⋊D43—22no—
735C22⋊D43—22no—
736C22⋊D43—42no—
737C22⋊D43—81no—
738C22⋊D43—81no—
739C22⋊D43—81no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—81no—
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#3181D4311yescharacteristic, complemented
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×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—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—431no—
928#532—861no—
929#529—431no—
930#529—431no—
931#529—431no—
932#529—861no—
933#529—861no—
934#529—861no—
935#529—861no—
936#529C2×D4311yescharacteristic
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#491C2×D4311yescharacteristic, complemented
962#490—431no—
963#490—431no—
964#489—431no—
965#489—431no—
966#489—431no—
967#489C2×D4311yescharacteristic
968#488—431no—
969#488—431no—
970#488—431no—
971#488—431no—
972#487—431no—
973#487—431no—
974#486—431no—
975#486—431no—
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#468—431no—
989#468—431no—
990#468—431no—
991#468—431no—
992#467—431no—
993#467—431no—
994#467C2×D4311yescharacteristic, complemented
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#465C2×D4311yescharacteristic
1007#465C2×D4311yescharacteristic
1008#442—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#441—431no—
1013#441—431no—
1014#441C2×D4311yescharacteristic, complemented
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#440C2×D4311yescharacteristic
1031#440C2×D4311yescharacteristic
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×M16—431no—
1061C2×#97—431no—
1062C2×#97—431no—
1063C2×#97C2×D4311yescharacteristic, complemented
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×M16—431no—
1101C22×C8—431no—
1102C22×C8—431no—
1103C22×C8—431no—
1104C22×C8—431no—
1105C22×C8C22×D4311yescharacteristic
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—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—861no—
1136#125—861no—
1137#125—861no—
1138#125—861no—
1139#125—861no—
1140#125—861no—
1141#125—861no—
1142#125C22×D4311yescharacteristic
1143#124—431no—
1144#124—431no—
1145#124—431no—
1146#124—861no—
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—21no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—431no—
1226C4×Q8—431no—
1227C4×Q8—861no—
1228C4×Q8—861no—
1229C4×Q8—861no—
1230C4×Q8C22×D4311yescharacteristic
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—431no—
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—21no—
1260#117—21no—
1261#117—431no—
1262#117—431no—
1263#117—431no—
1264#117—431no—
1265#117—431no—
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#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#97C22×D4311yescharacteristic
1337#97C22×D4311yescharacteristic
1338#97C22×D4311yescharacteristic
1339#97C22×D4311yescharacteristic
1340C4×C8—431no—
1341C4×C8—431no—
1342C4×C8—431no—
1343C4×C8—431no—
1344C4×C8—431no—
1345C4×C8—431no—
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—861no—
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—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—434no—
1431M16—862no—
1432M16—862no—
1433M16—862no—
1434M16—862no—
1435M16—862no—
1436C2×C8—22no—
1437C2×C8—22no—
1438C2×C8—431no—
1439C2×C8—431no—
1440C2×C8—434no—
1441C2×C8—431no—
1442C2×C8—431no—
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—431no—
1470C4⋊C4—431no—
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—21no—
1505C22⋊C4—431no—
1506C22⋊C4—431no—
1507C22⋊C4—431no—
1508C22⋊C4—431no—
1509C22⋊C4—431no—
1510C22⋊C4—431no—
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—21no—
1541C42—431no—
1542C42—431no—
1543C42—431no—
1544C42—431no—
1545C42—431no—
1546C42—431no—
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—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—41no—
1618C2×C4—41no—
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—3441no—
1636C2×C4—3441no—
1637C2×C4—3441no—
1638C2×C4—3441no—
1639C2×C4—3441no—
1640C2×C4—3441no—
1641C2×C4—1721no—
1642C2×C4—1721no—
1643C2×C4—1721no—
1644C2×C4—1721no—
1645C2×C4—1722no—
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—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#1914937211yescharacteristic
1722C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3181C2
socleC22×C43C23×D4
hypercenter#3181D43
hypocenterC43#60697
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3181

Complements

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

NH ≅ G/Ntype
1. #19148026C2semidirect
2. #19148016C2semidirect
3. #19145327C2semidirect
4. #19145318C2semidirect
5. #19145314C2semidirect
6. #19145310C2semidirect
7. #19145302C2semidirect
8. #19145293C2semidirect
9. #19145289C2semidirect
10. #19145283C2semidirect
11. #19145273C2semidirect
12. #19145266C2semidirect
13. #19145260C2semidirect
14. #19145235C2semidirect
15. #19145233C2semidirect
16. #19145226C2semidirect
17. #19145216C2semidirect
18. #19145130C2semidirect
19. #19145070C2semidirect
20. #19144961C2semidirect
21. #19144946C2semidirect
22. #19144285C2semidirect
23. #19144268C2semidirect
24. #19144266C2semidirect
25. #19144229C2semidirect
26. #19143411C2semidirect
27. #19143400C2semidirect
28. #19143394C2semidirect
29. #440×D43C2semidirect
30. #19143020C2semidirect
31. C43×#3181C2semidirect
40. #14583523C22semidirect
42. #14583522C22semidirect
46. #14583510C22semidirect
47. #14583509C22semidirect
63. #14583453C22semidirect
69. #14583436C22semidirect
70. #14583433C22semidirect
81. #14583308C22semidirect
82. #14583307C22semidirect
83. #14583306C22semidirect
84. #14583303C22semidirect
85. #14583302C22semidirect
86. #14583299C22semidirect
87. #14583298C22semidirect
95. #14583266C22semidirect
99. #14583260C22semidirect
100. #14583259C22semidirect
101. #14583256C22semidirect
103. #14583255C22semidirect
105. #14583249C22semidirect
106. #14583248C22semidirect
109. #14583155C22semidirect
110. #14583154C22semidirect
114. #14583148C22semidirect
115. #14583148C22semidirect
118. #14583147C22semidirect
119. #14583147C22semidirect
120. #14583147C22semidirect
121. #14583146C22semidirect
125. #14583139C22semidirect
126. #14583137C22semidirect
127. #14583136C22semidirect
129. #14583135C22semidirect
132. #14583131C22semidirect
135. #14583128C22semidirect
138. #14583012C22semidirect
139. #14583010C22semidirect
141. #14583006C22semidirect
142. #14583004C22semidirect
144. #14583002C22semidirect
145. #14583002C22semidirect
147. #14583001C22semidirect
153. #14582997C22semidirect
154. #14582997C22semidirect
155. #14582997C22semidirect
157. Q16×Dic43C22semidirect
158. #14582991C22semidirect
160. #14582986C22semidirect
162. #14582984C22semidirect
179. #14582856C22semidirect
180. #14582856C22semidirect
181. #14582854C22semidirect
182. #14582854C22semidirect
183. C4×#10621877C22semidirect
185. #14582851C22semidirect
187. #97×D43C22semidirect
188. C43×#533C22semidirect
190. C43×#501C22semidirect
192. C43×#491C22semidirect
194. C43×#467C22semidirect
195. C43×#467C22semidirect
198. C43×#441C22semidirect
199. C43×#441C22semidirect
202. C2×#97×C43C22semidirect
691. #10621872#41semidirect
695. C8×D43#41semidirect
859. #3181D43semidirect
925. #533C2×D43semidirect
947. #501C2×D43semidirect
961. #491C2×D43semidirect
994. #467C2×D43semidirect
995. #467C2×D43semidirect
1014. #441C2×D43semidirect
1015. #441C2×D43semidirect
1063. C2×#97C2×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
#191480162
#191453272
#191453182
#191453142
#191453102
#191453022
#191452932
#191452892
#191452832
#191452732
#191452662
#191452602
#191452352
#191452332
#191452262
#191452162
#191451302
#191450702
#191449612
#191449462
#191442852
#191442682
#191442662
#191442292
#191434112
#191434002
#191433942
#440×D432
#191430202
C43×#31812
#6069743