Finite Group Databasebeta

← #25966841

Subgroups — #25966841

Order 11008.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148342C211yesmaximal, characteristic, complemented
2#19148318C211yesmaximal, characteristic, complemented
3#19145325C211yesmaximal, characteristic, complemented
4#19145318C211yesmaximal, characteristic, complemented
5#19145314C211yesmaximal, characteristic, complemented
6#19145308C211yesmaximal, characteristic, complemented
7#19145283C211yesmaximal, characteristic, complemented
8#19145274C211yesmaximal, characteristic, complemented
9#19145267C211yesmaximal, characteristic, complemented
10#19145260C211yesmaximal, characteristic, complemented
11#19145236C211yesmaximal, characteristic, complemented
12#19145233C211yesmaximal, characteristic, complemented
13#19145226C211yesmaximal, characteristic, complemented
14#19145219C211yesmaximal, characteristic, complemented
15#19145196C211yesmaximal, characteristic, complemented
16#19145190C211yesmaximal, characteristic, complemented
17#19145183C211yesmaximal, characteristic, complemented
18#19145130C211yesmaximal, characteristic, complemented
19#19145070C211yesmaximal, characteristic, complemented
20#19144961C211yesmaximal, characteristic, complemented
21#19144946C211yesmaximal, characteristic, complemented
22#19144224C211yesmaximal, characteristic, complemented
23#19144209C211yesmaximal, characteristic, complemented
24#19144206C211yesmaximal, characteristic, complemented
25#468×D43C211yesmaximal, characteristic, complemented
26#19143470C211yesmaximal, characteristic, complemented
27#19143449C211yesmaximal, characteristic, complemented
28#19143433C211yesmaximal, characteristic, complemented
29#19143422C211yesmaximal, characteristic, complemented
30#19143012C211yesmaximal, characteristic, complemented
31C43×#3172C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063352C2211yescharacteristic
34C2×#13063348C2211yescharacteristic
35C2×SD16×D43C2211yescharacteristic
36C2×M16×D43C2211yescharacteristic
37C2×M16×D43C2211yescharacteristic
38#14583621—21no—
39#14583612—21no—
40#14583603—21no—
41#14583600—21no—
42#14583598—21no—
43#14583590—21no—
44#14583582—21no—
45#14583581—21no—
46#14583581—21no—
47#14583576—21no—
48#14583574—21no—
49#14583573—21no—
50#14583573—21no—
51#14583547—21no—
52#14583544—21no—
53#14583541—21no—
54#14583529C2211yescharacteristic
55#14583526C2211yescharacteristic
56#14583523C2211yescharacteristic, complemented
57#14583521C2211yescharacteristic
58#14583521C2211yescharacteristic, complemented
59#14583518C2211yescharacteristic
60#14583510C2211yescharacteristic, complemented
61#14583507C2211yescharacteristic, complemented
62#14583505C2211yescharacteristic
63#14583500C2211yescharacteristic
64#14583474C2211yescharacteristic
65#14583467C2211yescharacteristic
66#14583451C2211yescharacteristic, complemented
67#14583449C2211yescharacteristic
68#14583444C2211yescharacteristic
69#14583435C2211yescharacteristic
70#14583435C2211yescharacteristic, complemented
71#14583433C2211yescharacteristic, complemented
72#14583412C2211yescharacteristic
73#14583412C2211yescharacteristic
74C22⋊Q8×D43C2211yescharacteristic
75#121×D43C2211yescharacteristic
76#14583381C2211yescharacteristic
77#14583381C2211yescharacteristic
78#14583375C2211yescharacteristic
79#14583371C2211yescharacteristic
80C2×#13063282C2211yescharacteristic
81#14583308C2211yescharacteristic, complemented
82#14583307C2211yescharacteristic, complemented
83#14583306C2211yescharacteristic, complemented
84#14583303C2211yescharacteristic, complemented
85#14583302C2211yescharacteristic, complemented
86#14583299C2211yescharacteristic, complemented
87#14583298C2211yescharacteristic, complemented
88#14583292C2211yescharacteristic, complemented
89#14583288C2211yescharacteristic, complemented
90#14583285C2211yescharacteristic, complemented
91#14583284C2211yescharacteristic, complemented
92#14583281C2211yescharacteristic, complemented
93#14583273C2211yescharacteristic, complemented
94#14583270C2211yescharacteristic, complemented
95#14583266C2211yescharacteristic, complemented
96#14583264C2211yescharacteristic, complemented
97#14583262C2211yescharacteristic, complemented
98#14583260C2211yescharacteristic, complemented
99#14583260C2211yescharacteristic, complemented
100#14583259C2211yescharacteristic, complemented
101#14583256C2211yescharacteristic, complemented
102#14583255C2211yescharacteristic, complemented
103#14583255C2211yescharacteristic, complemented
104#14583253C2211yescharacteristic, complemented
105#14583249C2211yescharacteristic, complemented
106#14583248C2211yescharacteristic, complemented
107#14583247C2211yescharacteristic, complemented
108#14583244C2211yescharacteristic, complemented
109#14583155C2211yescharacteristic, complemented
110#14583154C2211yescharacteristic, complemented
111#14583153C2211yescharacteristic, complemented
112#14583152C2211yescharacteristic
113#14583152C2211yescharacteristic, complemented
114#14583150C2211yescharacteristic
115#14583148C2211yescharacteristic
116#14583148C2211yescharacteristic, complemented
117#14583148C2211yescharacteristic, complemented
118#14583147C2211yescharacteristic
119#14583147C2211yescharacteristic
120#14583147C2211yescharacteristic, complemented
121#14583147C2211yescharacteristic, complemented
122#14583147C2211yescharacteristic, complemented
123#14583146C2211yescharacteristic
124#14583145C2211yescharacteristic
125#14583145C2211yescharacteristic, complemented
126#14583144C2211yescharacteristic
127#14583143C2211yescharacteristic
128#14583142C2211yescharacteristic
129#14583139C2211yescharacteristic, complemented
130#14583137C2211yescharacteristic, complemented
131#14583136C2211yescharacteristic
132#14583134C2211yescharacteristic
133#14583131C2211yescharacteristic
134#14583131C2211yescharacteristic, complemented
135#14583129C2211yescharacteristic, complemented
136#14583125C2211yescharacteristic
137#14583010C2211yescharacteristic, complemented
138#14583009C2211yescharacteristic, complemented
139#14583006C2211yescharacteristic, complemented
140#14583004C2211yescharacteristic, complemented
141#14583002C2211yescharacteristic, complemented
142#14583002C2211yescharacteristic, complemented
143#14583002C2211yescharacteristic, complemented
144#14583000C2211yescharacteristic, complemented
145#14582999C2211yescharacteristic, complemented
146#14582998C2211yescharacteristic, complemented
147#14582997C2211yescharacteristic, complemented
148#14582997C2211yescharacteristic, complemented
149#14582997C2211yescharacteristic, complemented
150#14582997C2211yescharacteristic, complemented
151#14582997C2211yescharacteristic, complemented
152#14582996C2211yescharacteristic, complemented
153Q16×Dic43C2211yescharacteristic, complemented
154#14582991C2211yescharacteristic, complemented
155C4×#10621873C2211yescharacteristic, complemented
156C4×#10621873C2211yescharacteristic, complemented
157SD16×Dic43C2211yescharacteristic, complemented
158#14582986C2211yescharacteristic, complemented
159#14582984C2211yescharacteristic, complemented
160#14582984C2211yescharacteristic, complemented
161C4×D344C2211yescharacteristic, complemented
162C4×D344C2211yescharacteristic, complemented
163#14582981C2211yescharacteristic, complemented
164#14582979C2211yescharacteristic, complemented
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#14582853C2211yescharacteristic
182#14582853C2211yescharacteristic
183#14582853C2211yescharacteristic, complemented
184#14582853C2211yescharacteristic, complemented
185C4×#10621877C2211yescharacteristic, complemented
186M16×Dic43C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic, complemented
188C43×#533C2211yescharacteristic, complemented
189C43×#529C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#497C2211yescharacteristic, complemented
192C43×#491C2211yescharacteristic, complemented
193C43×#489C2211yescharacteristic, complemented
194C43×#470C2211yescharacteristic, complemented
195C43×#470C2211yescharacteristic, complemented
196C43×#468C2211yescharacteristic
197C43×#468C2211yescharacteristic
198C4×Q16×C43C2211yescharacteristic, complemented
199C4×Q16×C43C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×SD16×C43C2211yescharacteristic, complemented
202C4×M16×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621900—21no—
207C2×Q8×D43C2311yescharacteristic
208C2×D4×D43—21no—
209C2×D4×D43C2311yescharacteristic
210C22×C4×D43C2311yescharacteristic
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
227C2×#10621877C2311yescharacteristic
228C2×#10621877C2311yescharacteristic
229C2×#10621872C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233M16×D43—24no—
234M16×D43—24no—
235C2×C8×D43C2311yescharacteristic
236C2×C8×D43C2311yescharacteristic
237C2×C8×D43C2311yescharacteristic
238C2×C8×D43C2311yescharacteristic
239#13063325C2311yescharacteristic
240#13063324—21no—
241#13063324C2311yescharacteristic
242#13063324C2311yescharacteristic
243#13063323—21no—
244#13063323C2311yescharacteristic
245#13063322C2311yescharacteristic
246#13063321C2311yescharacteristic
247#13063320—21no—
248#13063320—21no—
249#13063320—21no—
250#13063320—21no—
251#13063320—21no—
252#13063320—21no—
253#13063319—21no—
254#13063319—21no—
255#13063319—21no—
256#13063319—21no—
257#13063318—21no—
258#13063317—21no—
259#13063317C2311yescharacteristic
260#13063316C2311yescharacteristic
261#13063316C2311yescharacteristic
262#13063315—21no—
263#13063315—21no—
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063314—21no—
269#13063314C2311yescharacteristic
270#13063314C2311yescharacteristic
271#13063313—21no—
272#13063313—21no—
273#13063313—21no—
274#13063313C2311yescharacteristic
275#13063311—21no—
276#13063311—21no—
277#13063310—21no—
278#13063310—21no—
279#13063310—21no—
280#13063310—21no—
281#13063310—21no—
282#13063310—21no—
283#13063310—21no—
284#13063310—21no—
285#13063310—21no—
286#13063309—21no—
287#13063309—21no—
288#13063309—21no—
289#13063308—21no—
290#13063308—21no—
291#13063307—21no—
292#13063305—21no—
293#13063305C2311yescharacteristic
294#13063304C2311yescharacteristic
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063303—21no—
301#13063303—21no—
302#13063302—21no—
303#13063302—21no—
304#13063302—21no—
305#13063301—21no—
306#13063301—21no—
307#13063301C2311yescharacteristic
308#13063301C2311yescharacteristic
309#13063301C2311yescharacteristic
310#13063300—21no—
311#13063300—21no—
312#13063300C2311yescharacteristic
313#13063300C2311yescharacteristic
314#13063300C2311yescharacteristic
315#13063299—21no—
316#13063299—21no—
317#13063299C2311yescharacteristic
318#13063299C2311yescharacteristic
319#13063299C2311yescharacteristic
320#13063298—21no—
321#13063298—21no—
322#13063298—21no—
323#13063298—21no—
324#13063297—21no—
325#13063297—21no—
326#13063296C2311yescharacteristic
327#13063295—21no—
328#13063295—21no—
329#13063295—21no—
330#13063295—21no—
331Q8×Dic43C2311yescharacteristic
332Q8×Dic43C2311yescharacteristic
333Q8×Dic43C2311yescharacteristic
334C4×Dic86—21no—
335C4×Dic86C2311yescharacteristic
336#13063290—21no—
337#13063290—21no—
338#13063290C2311yescharacteristic
339C4×D172—21no—
340C4×D172—21no—
341C4×D172—21no—
342C4×D172C2311yescharacteristic
343C4×D172C2311yescharacteristic
344C4×D172C2311yescharacteristic
345D4×Dic43C2311yescharacteristic
346#13063287—21no—
347#13063287—21no—
348#13063287—21no—
349#13063287—21no—
350#13063287C2311yescharacteristic
351#13063287C2311yescharacteristic
352#13063287C2311yescharacteristic
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361#13063283—21no—
362#13063283—21no—
363#13063283—21no—
364#13063283C2311yescharacteristic
365#13063283C2311yescharacteristic
366#13063282—21no—
367#13063282—21no—
368#13063282—21no—
369#13063282—21no—
370#13063282D411yescharacteristic
371#13063282D411yescharacteristic
372#13063282D411yescharacteristic
373#13063282D411yescharacteristic
374#13063282C2311yescharacteristic
375#13063282C2311yescharacteristic
376#13063282C2311yescharacteristic
377#13063282C2311yescharacteristic
378#13063281—21no—
379C2×Dic43⋊C4D411yescharacteristic
380C2×Dic43⋊C4D411yescharacteristic
381C4⋊C4×D43—21no—
382C4⋊C4×D43—21no—
383C4⋊C4×D43—21no—
384C4⋊C4×D43C2311yescharacteristic
385C4⋊C4×D43C2311yescharacteristic
386C2×(C2×D43)⋊C4—21no—
387C2×(C2×D43)⋊C4D411yescharacteristic
388C2×(C2×D43)⋊C4D411yescharacteristic
389C22⋊C4×D43—21no—
390C22⋊C4×D43—21no—
391C22⋊C4×D43—21no—
392C2×C4×Dic43C2311yescharacteristic
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
445C2×M16×C43C2311yescharacteristic
446C2×M16×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
482C4×C8×C43C2311yescharacteristic
483C4×C8×C43C2311yescharacteristic
484C23×D43—21no—
485C23×D43C2×D411yescharacteristic
486C2×Q8×C43—21no—
487C2×Q8×C43C2411yescharacteristic
488C2×Q8×C43C2411yescharacteristic
489C2×Q8×C43C2411yescharacteristic
490C2×D4×C43—21no—
491C2×D4×C43C2411yescharacteristic
492C22×C4×C43—21no—
493C22×C4×C43C2×D411yescharacteristic
494C22×C4×C43C2×D411yescharacteristic
495C22×C4×C43C2411yescharacteristic
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⋊D43—21no—
503C22×Dic43—21no—
504C22×Dic43C2×D411yescharacteristic
505C22×Dic43C2×D411yescharacteristic
506C22×Dic43C2×D411yescharacteristic
507#10621902—22no—
508#10621902—22no—
509#10621902—22no—
510#10621902—22no—
511Q8×D43—22no—
512Q8×D43—22no—
513#10621900—82no—
514D4×D43—22no—
515D4×D43—22no—
516D4×D43—82no—
517#10621898—82no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172—21no—
523C2×D172—21no—
524C2×D172—21no—
525C2×D172C2411yescharacteristic
526C2×D172C2411yescharacteristic
527C2×D172C2411yescharacteristic
528C2×C4×D43—22no—
529C2×C4×D43—22no—
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—21no—
540C2×C4×D43—21no—
541C2×C4×D43C2×D411yescharacteristic
542C2×C4×D43C2×D411yescharacteristic
543C2×C4×D43C2411yescharacteristic
544C2×C4×D43C2411yescharacteristic
545C2×Dic86—21no—
546C2×Dic86—21no—
547C2×Dic86—21no—
548C2×Dic86—21no—
549C2×Dic86C2411yescharacteristic
550Q16×C43—22no—
551Q16×C43—22no—
552SD16×C43—22no—
553SD16×C43—22no—
554M16×C43—22no—
555M16×C43—22no—
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C2×C8×C43C2411yescharacteristic
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
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×C43C2411yescharacteristic
572C4⋊C4×C43C2411yescharacteristic
573C4⋊C4×C43C2411yescharacteristic
574C4⋊C4×C43C2411yescharacteristic
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C42×C43—21no—
583C42×C43—21no—
584C42×C43—21no—
585C42×C43C2×D411yescharacteristic
586C42×C43C2×D411yescharacteristic
587C42×C43C2411yescharacteristic
588C42×C43C2411yescharacteristic
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592#10621885—22no—
593#10621884—22no—
594#10621884—22no—
595#10621884—22no—
596#10621884—22no—
597#10621884—22no—
598#10621883—22no—
599#10621882—22no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
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
628(C2×D43)⋊C4C2×D411yescharacteristic
629(C2×D43)⋊C4C2×D411yescharacteristic
630(C2×D43)⋊C4C2×D411yescharacteristic
631(C2×D43)⋊C4C2×D411yescharacteristic
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43—21no—
636C4⋊Dic43—21no—
637C4⋊Dic43—21no—
638C4⋊Dic43—21no—
639C4⋊Dic43C2411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641C4⋊Dic43C2411yescharacteristic
642C4⋊Dic43C2411yescharacteristic
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664Dic43⋊C4C2×D411yescharacteristic
665Dic43⋊C4C2×D411yescharacteristic
666Dic43⋊C4C2×D411yescharacteristic
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
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—22no—
699C22×D43—21no—
700C22×D43—21no—
701C22×D43—21no—
702C22×D43—41no—
703C22×D43—41no—
704C22×D43—42no—
705C22×D43—81no—
706C22×D43—81no—
707C22×D43C22×D411yescharacteristic
708C22×D43C22×D411yescharacteristic
709Q8×C43—21no—
710Q8×C43—21no—
711Q8×C43—21no—
712Q8×C43—21no—
713Q8×C43—21no—
714Q8×C43—21no—
715Q8×C43—81no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—42no—
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—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—41no—
729C2×C4×C43—41no—
730C2×C4×C43—81no—
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C22×D411yescharacteristic
734C2×C4×C43C22×D411yescharacteristic
735C2×C4×C43C22×D411yescharacteristic
736C2×C4×C43C2511yescharacteristic
737C22⋊D43—42no—
738C22⋊D43—42no—
739C22⋊D43—42no—
740C22⋊D43—42no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C22⋊D43—81no—
744C2×Dic43—22no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—41no—
751C2×Dic43—41no—
752C2×Dic43—81no—
753C2×Dic43C22×D411yescharacteristic
754C2×Dic43C22×D411yescharacteristic
755C2×Dic43C22×D411yescharacteristic
756C2×Dic43C22×D411yescharacteristic
757C2×Dic43C22×D411yescharacteristic
758C2×Dic43C22×D411yescharacteristic
759D172—21no—
760D172—21no—
761D172—21no—
762D172—21no—
763D172—21no—
764D172—21no—
765D172—42no—
766D172—42no—
767D172—81no—
768D172—81no—
769D172—81no—
770D172—81no—
771D172—81no—
772C4×D43—22no—
773C4×D43—21no—
774C4×D43—21no—
775C4×D43—22no—
776C4×D43—42no—
777C4×D43—42no—
778C4×D43—42no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782C4×D43—81no—
783C4×D43—81no—
784C4×D43—81no—
785C4×D43—81no—
786C4×D43—81no—
787C4×D43C2×#4112yes—
788C4×D43C2×#4112yes—
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#60709—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—82no—
826C2×D43—162no—
827C2×D43#53212yes—
828C4×C43—21no—
829C4×C43—21no—
830C4×C43—21no—
831C4×C43—21no—
832C4×C43—21no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43—41no—
838C4×C43—41no—
839C4×C43—41no—
840C4×C43C22×#4111yescharacteristic
841C4×C43C22×#4111yescharacteristic
842Dic43—21no—
843Dic43—21no—
844Dic43—21no—
845Dic43—21no—
846Dic43—21no—
847Dic43—41no—
848Dic43—41no—
849Dic43—41no—
850Dic43—41no—
851Dic43—41no—
852Dic43#53212yes—
853#3495—431no—
854#3494—431no—
855#3183—431no—
856#3183—431no—
857#3182—431no—
858#3182—431no—
859#3179—431no—
860#3179—431no—
861#3178—431no—
862#3178—431no—
863#3175—431no—
864#3175—431no—
865#3174—431no—
866#3174—431no—
867#3172—431no—
868#3172D4311yescharacteristic, complemented
869#3171—431no—
870#3171—431no—
871#3164—431no—
872#3154—431no—
873#3137—431no—
874#3136—431no—
875#3056—431no—
876#3055—431no—
877#3054—431no—
878C2×#468—431no—
879#2951—431no—
880#2949—431no—
881#2947—431no—
882#2946—431no—
883#2873—431no—
884C2×C43—41no—
885C2×C43—81no—
886C2×C43C2×#53211yescharacteristic
887C2×C43#358511yescharacteristic
888C2×C43#358611yescharacteristic
889D43—22no—
890D43—41no—
891D43—81no—
892D43—81no—
893D43—81no—
894C2×#137—431no—
895C2×AGL(1,ℤ/8)—431no—
896C2×#135—431no—
897C22×SD16—431no—
898C22×M16—431no—
899C22×M16—431no—
900#556—861no—
901#555—861no—
902#554—861no—
903#553—861no—
904#553—861no—
905#552—861no—
906#552—861no—
907#552—861no—
908#552—861no—
909#551—861no—
910#551—861no—
911#551—861no—
912#551—861no—
913#547—861no—
914#546—861no—
915#546—861no—
916#544—431no—
917#544—431no—
918#542—431no—
919#542—431no—
920#542—431no—
921#542—431no—
922#541—431no—
923#541—431no—
924#540—431no—
925#540—431no—
926#536—431no—
927#535—431no—
928#533—431no—
929#533C2×D4311yescharacteristic, complemented
930#532—431no—
931#532—431no—
932#529—431no—
933#529—431no—
934#529—431no—
935#529C2×D4311yescharacteristic
936#525—431no—
937#525—431no—
938C2×C22⋊Q8—431no—
939C2×#121—431no—
940#520—431no—
941#520—431no—
942#519—431no—
943#518—431no—
944C2×#117—431no—
945#501—431no—
946#501—431no—
947#501—431no—
948#501C2×D4311yescharacteristic, complemented
949#500—431no—
950#500—431no—
951#499—431no—
952#499—431no—
953#497—431no—
954#497C2×D4311yescharacteristic, complemented
955#496—431no—
956#496—431no—
957#495—431no—
958#495—431no—
959#492—431no—
960#492—431no—
961#491—431no—
962#491C2×D4311yescharacteristic, complemented
963#490—431no—
964#490—431no—
965#489—431no—
966#489—431no—
967#489—431no—
968#489C2×D4311yescharacteristic, complemented
969#488—431no—
970#488—431no—
971#488—431no—
972#488—431no—
973#487—431no—
974#487—431no—
975#486—431no—
976#486—431no—
977#470—431no—
978#470—431no—
979#470C2×D4311yescharacteristic, complemented
980#470C2×D4311yescharacteristic, complemented
981#469—431no—
982#469—431no—
983#469—431no—
984#469—431no—
985#468—431no—
986#468—431no—
987#468—431no—
988#468—431no—
989#468—431no—
990#468—431no—
991#468—431no—
992#468—431no—
993#468—431no—
994#468—431no—
995#468—431no—
996#468—431no—
997#468—431no—
998#468—431no—
999#468C2×D4311yescharacteristic
1000#468C2×D4311yescharacteristic
1001#467—431no—
1002#467—431no—
1003#466—431no—
1004#466—431no—
1005#465—431no—
1006#465—431no—
1007#465—431no—
1008#465—431no—
1009#442—431no—
1010#442—431no—
1011#441—431no—
1012#441—431no—
1013#440—431no—
1014#440—431no—
1015#440—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—
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×Q16C2×D4311yescharacteristic, complemented
1028C4×Q16C2×D4311yescharacteristic, complemented
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16—431no—
1034C4×SD16—431no—
1035C4×SD16C2×D4311yescharacteristic, complemented
1036C4×SD16C2×D4311yescharacteristic, complemented
1037C4×D8—431no—
1038C4×D8—431no—
1039C4×D8—431no—
1040C4×D8—431no—
1041#428—431no—
1042#428—431no—
1043#427—431no—
1044C2×#107—431no—
1045#419—431no—
1046#418—431no—
1047#417—431no—
1048#417—431no—
1049#416—431no—
1050#416—431no—
1051C2×#103—431no—
1052C2×#102—431no—
1053#405—431no—
1054#405—431no—
1055#405—431no—
1056#405—431no—
1057#405—431no—
1058#405—431no—
1059#405—431no—
1060#405—431no—
1061C4×M16—431no—
1062C4×M16—431no—
1063C4×M16—431no—
1064C4×M16C2×D4311yescharacteristic, complemented
1065C43#6070911yescharacteristic, complemented, Sylow
1066C2×#41—431no—
1067C2×#41—431no—
1068C2×#41—861no—
1069C2×#41—861no—
1070C22×Q8—431no—
1071C22×D4—431no—
1072C22×D4—861no—
1073C23×C4—431no—
1074#137—864no—
1075AGL(1,ℤ/8)—864no—
1076#135—864no—
1077C2×Q16—431no—
1078C2×Q16C22×D4311yescharacteristic
1079C2×Q16C22×D4311yescharacteristic
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16—431no—
1083C2×SD16—431no—
1084C2×SD16—431no—
1085C2×SD16—431no—
1086C2×SD16—431no—
1087C2×SD16—431no—
1088C2×SD16—864no—
1089C2×SD16C22×D4311yescharacteristic
1090C2×SD16C22×D4311yescharacteristic
1091C2×D8—431no—
1092C2×D8—431no—
1093C2×D8—431no—
1094C2×M16—431no—
1095C2×M16—431no—
1096C2×M16—431no—
1097C2×M16—431no—
1098C2×M16—431no—
1099C2×M16—431no—
1100C2×M16—864no—
1101C2×M16—864no—
1102C2×M16C22×D4311yescharacteristic
1103C2×M16C22×D4311yescharacteristic
1104C22×C8—431no—
1105C22×C8—431no—
1106C22×C8—431no—
1107C22×C8—431no—
1108C4⋊Q8—431no—
1109C4⋊Q8—431no—
1110C4⋊Q8—431no—
1111C4⋊Q8—431no—
1112C4⋊Q8—861no—
1113C4⋊Q8—861no—
1114C4⋊Q8C22×D4311yescharacteristic
1115C4⋊Q8C22×D4311yescharacteristic
1116#127—431no—
1117#127—431no—
1118#126—21no—
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#125—21no—
1131#125—431no—
1132#125—431no—
1133#125—431no—
1134#125—861no—
1135#125—861no—
1136#125—861no—
1137#125—861no—
1138#125—861no—
1139#125—861no—
1140#125—861no—
1141#125C22×D4311yescharacteristic
1142#124—431no—
1143#124—431no—
1144#124—431no—
1145#124—861no—
1146#124—861no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124C22×D4311yescharacteristic
1152#123—21no—
1153#123—861no—
1154#123—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—
1168C22⋊Q8—21no—
1169C22⋊Q8—431no—
1170C22⋊Q8—431no—
1171C22⋊Q8—431no—
1172C22⋊Q8—431no—
1173C22⋊Q8—431no—
1174C22⋊Q8—861no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
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⋊Q8C22×D4311yescharacteristic
1188C22⋊Q8C22×D4311yescharacteristic
1189C22⋊Q8C22×D4311yescharacteristic
1190#121—431no—
1191#121—431no—
1192#121—431no—
1193#121—431no—
1194#121—431no—
1195#121—431no—
1196#121—431no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121C22×D4311yescharacteristic
1208#120—861no—
1209#120—861no—
1210#120—861no—
1211#120—861no—
1212C4×Q8—21no—
1213C4×Q8—431no—
1214C4×Q8—431no—
1215C4×Q8—431no—
1216C4×Q8—431no—
1217C4×Q8—431no—
1218C4×Q8—861no—
1219C4×Q8—861no—
1220C4×Q8—861no—
1221C4×Q8C22×D4311yescharacteristic
1222C4×Q8C22×D4311yescharacteristic
1223C4×Q8C22×D4311yescharacteristic
1224C4×D4—21no—
1225C4×D4—431no—
1226C4×D4—431no—
1227C4×D4—431no—
1228C4×D4—431no—
1229C4×D4—431no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—861no—
1233C4×D4—861no—
1234C4×D4—861no—
1235C4×D4—861no—
1236C4×D4—861no—
1237C4×D4—861no—
1238C4×D4—861no—
1239C4×D4—861no—
1240C4×D4—861no—
1241C4×D4—861no—
1242C4×D4—861no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4C22×D4311yescharacteristic
1248#117—21no—
1249#117—21no—
1250#117—431no—
1251#117—431no—
1252#117—431no—
1253#117—431no—
1254#117—431no—
1255#117—431no—
1256#117—431no—
1257#117—431no—
1258#117—431no—
1259#117—431no—
1260#117—861no—
1261#117—861no—
1262#117—861no—
1263#117—861no—
1264#117—861no—
1265#117—861no—
1266#117—861no—
1267#117—861no—
1268C2×C4⋊C4—431no—
1269C2×C4⋊C4—431no—
1270C2×C4⋊C4—431no—
1271C2×C4⋊C4—431no—
1272C2×C4⋊C4—861no—
1273C2×C4⋊C4—861no—
1274C2×C4⋊C4—861no—
1275C2×C22⋊C4—431no—
1276C2×C22⋊C4—431no—
1277C2×C22⋊C4—861no—
1278C2×C22⋊C4—861no—
1279C2×C22⋊C4—861no—
1280C2×C22⋊C4—861no—
1281C2×C42—431no—
1282C2×C42C22×D4311yescharacteristic
1283#107—431no—
1284#107—431no—
1285#107—431no—
1286#107—431no—
1287#107—431no—
1288#107—431no—
1289#107—431no—
1290#107—431no—
1291#107C22×D4311yescharacteristic
1292#107C22×D4311yescharacteristic
1293#106—431no—
1294#106—431no—
1295#106—431no—
1296#106—431no—
1297#106C22×D4311yescharacteristic
1298#106C22×D4311yescharacteristic
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#103C22×D4311yescharacteristic
1310#103C22×D4311yescharacteristic
1311#103C22×D4311yescharacteristic
1312#103C22×D4311yescharacteristic
1313#103C22×D4311yescharacteristic
1314#103C22×D4311yescharacteristic
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#102—431no—
1329#102C22×D4311yescharacteristic
1330#102C22×D4311yescharacteristic
1331#97—431no—
1332#97—431no—
1333#97—431no—
1334#97—431no—
1335#97—431no—
1336#97—431no—
1337#97C22×D4311yescharacteristic
1338#97C22×D4311yescharacteristic
1339C4×C8—431no—
1340C4×C8—431no—
1341C4×C8—431no—
1342C4×C8—431no—
1343C4×C8—431no—
1344C4×C8—431no—
1345C4×C8C22×D4311yescharacteristic
1346C4×C8C22×D4311yescharacteristic
1347C24—431no—
1348C24—861no—
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—861no—
1358C2×Q8—861no—
1359C2×Q8—861no—
1360C2×Q8—862no—
1361C2×Q8—862no—
1362C2×Q8—861no—
1363C2×Q8C23×D4311yescharacteristic
1364C2×Q8C23×D4311yescharacteristic
1365C2×Q8C23×D4311yescharacteristic
1366C2×D4—21no—
1367C2×D4—431no—
1368C2×D4—431no—
1369C2×D4—431no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—862no—
1376C2×D4—862no—
1377C2×D4—861no—
1378C2×D4—861no—
1379C2×D4—861no—
1380C2×D4—861no—
1381C2×D4—861no—
1382C2×D4—861no—
1383C2×D4—861no—
1384C2×D4—861no—
1385C2×D4—861no—
1386C2×D4—3442no—
1387C2×D4C23×D4311yescharacteristic
1388C22×C4—21no—
1389C22×C4—431no—
1390C22×C4—431no—
1391C22×C4—431no—
1392C22×C4—431no—
1393C22×C4—431no—
1394C22×C4—431no—
1395C22×C4—431no—
1396C22×C4—862no—
1397C22×C4—862no—
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×C4D4×D4311yescharacteristic
1411C22×C4D4×D4311yescharacteristic
1412C22×C4C23×D4311yescharacteristic
1413Q16—22no—
1414Q16—22no—
1415Q16—862no—
1416SD16—22no—
1417SD16—22no—
1418SD16—862no—
1419SD16—862no—
1420SD16—862no—
1421SD16—862no—
1422SD16—862no—
1423SD16—862no—
1424SD16—862no—
1425SD16—862no—
1426D8—862no—
1427D8—862no—
1428D8—862no—
1429M16—22no—
1430M16—22no—
1431M16—434no—
1432M16—862no—
1433M16—862no—
1434M16—862no—
1435M16—862no—
1436M16—862no—
1437C2×C8—431no—
1438C2×C8—431no—
1439C2×C8—434no—
1440C2×C8—431no—
1441C2×C8—431no—
1442C2×C8—862no—
1443C2×C8—862no—
1444C2×C8—862no—
1445C2×C8C23×D4311yescharacteristic
1446C2×C8C23×D4311yescharacteristic
1447C2×C8C23×D4311yescharacteristic
1448C2×C8C23×D4311yescharacteristic
1449C4⋊C4—21no—
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—431no—
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—431no—
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⋊C4—861no—
1495C4⋊C4C23×D4311yescharacteristic
1496C4⋊C4C23×D4311yescharacteristic
1497C4⋊C4C23×D4311yescharacteristic
1498C4⋊C4C23×D4311yescharacteristic
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—431no—
1507C22⋊C4—431no—
1508C22⋊C4—431no—
1509C22⋊C4—431no—
1510C22⋊C4—431no—
1511C22⋊C4—431no—
1512C22⋊C4—431no—
1513C22⋊C4—431no—
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—
1538C22⋊C4—861no—
1539C22⋊C4—861no—
1540C22⋊C4—861no—
1541C42—21no—
1542C42—21no—
1543C42—21no—
1544C42—431no—
1545C42—431no—
1546C42—431no—
1547C42—431no—
1548C42—861no—
1549C42—861no—
1550C42—861no—
1551C42—861no—
1552C42—861no—
1553C42—861no—
1554C42—861no—
1555C42D4×D4311yescharacteristic
1556C42D4×D4311yescharacteristic
1557C42C23×D4311yescharacteristic
1558C42C23×D4311yescharacteristic
1559C23—21no—
1560C23—431no—
1561C23—431no—
1562C23—862no—
1563C23—861no—
1564C23—861no—
1565C23—861no—
1566C23—3441no—
1567C23—3441no—
1568C23—1721no—
1569C23—1721no—
1570C23—1722no—
1571C23C2×D4×D4311yescharacteristic
1572Q8—21no—
1573Q8—21no—
1574Q8—21no—
1575Q8—21no—
1576Q8—21no—
1577Q8—21no—
1578Q8—81no—
1579Q8—861no—
1580Q8—861no—
1581Q8—3441no—
1582Q8—3441no—
1583Q8—3441no—
1584Q8—1722no—
1585D4—21no—
1586D4—21no—
1587D4—42no—
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—1722no—
1603D4—1722no—
1604D4—1722no—
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—81no—
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—862no—
1629C2×C4—862no—
1630C2×C4—862no—
1631C2×C4—861no—
1632C2×C4—861no—
1633C2×C4—861no—
1634C2×C4—861no—
1635C2×C4—861no—
1636C2×C4—861no—
1637C2×C4—861no—
1638C2×C4—3441no—
1639C2×C4—3441no—
1640C2×C4—3441no—
1641C2×C4—3441no—
1642C2×C4—3441no—
1643C2×C4—3441no—
1644C2×C4—3441no—
1645C2×C4—3441no—
1646C2×C4—3441no—
1647C2×C4—1722no—
1648C2×C4—1722no—
1649C2×C4—1722no—
1650C2×C4—1721no—
1651C2×C4—1721no—
1652C2×C4C2×D4×D4311yescharacteristic
1653C2×C4C2×D4×D4311yescharacteristic
1654C2×C4C2×D4×D4311yescharacteristic
1655C2×C4C2×D4×D4311yescharacteristic
1656C2×C4C2×D4×D4311yescharacteristic
1657C2×C4C24×D4311yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—432no—
1661C8—432no—
1662C8—861no—
1663C8—861no—
1664C8#41×D4312yes—
1665C8#41×D4312yes—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—432no—
1673C22—861no—
1674C22—861no—
1675C22—861no—
1676C22—861no—
1677C22—861no—
1678C22—3442no—
1679C22—1721no—
1680C22—1721no—
1681C22—1721no—
1682C22—1721no—
1683C22—1721no—
1684C22—1721no—
1685C22—1721no—
1686C22—1721no—
1687C22—1721no—
1688C22—6882no—
1689C22C22×D4×D4311yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—41no—
1702C4—432no—
1703C4—861no—
1704C4—861no—
1705C4—861no—
1706C4—861no—
1707C4—861no—
1708C4—1721no—
1709C4—1721no—
1710C4—1721no—
1711C4—1721no—
1712C4—1721no—
1713C4C2×#41×D4311yescharacteristic
1714C4C2×#41×D4311yescharacteristic
1715C2—41no—
1716C2—81no—
1717C2—862no—
1718C2—3441no—
1719C2—3441no—
1720C2—3441no—
1721C2—1721no—
1722C2#532×D4311yescharacteristic
1723C2#1914937211yescharacteristic
1724C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3172C2
socleC22×C43C23×D4
hypercenter#3172D43
hypocenterC43#60709
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3172

Complements

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

NH ≅ G/Ntype
1. #19148342C2semidirect
2. #19148318C2semidirect
3. #19145325C2semidirect
4. #19145318C2semidirect
5. #19145314C2semidirect
6. #19145308C2semidirect
7. #19145283C2semidirect
8. #19145274C2semidirect
9. #19145267C2semidirect
10. #19145260C2semidirect
11. #19145236C2semidirect
12. #19145233C2semidirect
13. #19145226C2semidirect
14. #19145219C2semidirect
15. #19145196C2semidirect
16. #19145190C2semidirect
17. #19145183C2semidirect
18. #19145130C2semidirect
19. #19145070C2semidirect
20. #19144961C2semidirect
21. #19144946C2semidirect
22. #19144224C2semidirect
23. #19144209C2semidirect
24. #19144206C2semidirect
25. #468×D43C2semidirect
26. #19143470C2semidirect
27. #19143449C2semidirect
28. #19143433C2semidirect
29. #19143422C2semidirect
30. #19143012C2semidirect
31. C43×#3172C2semidirect
56. #14583523C22semidirect
58. #14583521C22semidirect
60. #14583510C22semidirect
61. #14583507C22semidirect
66. #14583451C22semidirect
70. #14583435C22semidirect
71. #14583433C22semidirect
81. #14583308C22semidirect
82. #14583307C22semidirect
83. #14583306C22semidirect
84. #14583303C22semidirect
85. #14583302C22semidirect
86. #14583299C22semidirect
87. #14583298C22semidirect
88. #14583292C22semidirect
89. #14583288C22semidirect
90. #14583285C22semidirect
91. #14583284C22semidirect
92. #14583281C22semidirect
93. #14583273C22semidirect
94. #14583270C22semidirect
95. #14583266C22semidirect
96. #14583264C22semidirect
97. #14583262C22semidirect
98. #14583260C22semidirect
99. #14583260C22semidirect
100. #14583259C22semidirect
101. #14583256C22semidirect
102. #14583255C22semidirect
103. #14583255C22semidirect
104. #14583253C22semidirect
105. #14583249C22semidirect
106. #14583248C22semidirect
107. #14583247C22semidirect
108. #14583244C22semidirect
109. #14583155C22semidirect
110. #14583154C22semidirect
111. #14583153C22semidirect
113. #14583152C22semidirect
116. #14583148C22semidirect
117. #14583148C22semidirect
120. #14583147C22semidirect
121. #14583147C22semidirect
122. #14583147C22semidirect
125. #14583145C22semidirect
129. #14583139C22semidirect
130. #14583137C22semidirect
134. #14583131C22semidirect
135. #14583129C22semidirect
137. #14583010C22semidirect
138. #14583009C22semidirect
139. #14583006C22semidirect
140. #14583004C22semidirect
141. #14583002C22semidirect
142. #14583002C22semidirect
143. #14583002C22semidirect
144. #14583000C22semidirect
145. #14582999C22semidirect
146. #14582998C22semidirect
147. #14582997C22semidirect
148. #14582997C22semidirect
149. #14582997C22semidirect
150. #14582997C22semidirect
151. #14582997C22semidirect
152. #14582996C22semidirect
153. Q16×Dic43C22semidirect
154. #14582991C22semidirect
155. C4×#10621873C22semidirect
156. C4×#10621873C22semidirect
157. SD16×Dic43C22semidirect
158. #14582986C22semidirect
159. #14582984C22semidirect
160. #14582984C22semidirect
161. C4×D344C22semidirect
162. C4×D344C22semidirect
163. #14582981C22semidirect
164. #14582979C22semidirect
179. #14582856C22semidirect
180. #14582856C22semidirect
183. #14582853C22semidirect
184. #14582853C22semidirect
185. C4×#10621877C22semidirect
186. M16×Dic43C22semidirect
187. M16×Dic43C22semidirect
188. C43×#533C22semidirect
190. C43×#501C22semidirect
191. C43×#497C22semidirect
192. C43×#491C22semidirect
193. C43×#489C22semidirect
194. C43×#470C22semidirect
195. C43×#470C22semidirect
198. C4×Q16×C43C22semidirect
199. C4×Q16×C43C22semidirect
200. C4×SD16×C43C22semidirect
201. C4×SD16×C43C22semidirect
202. C4×M16×C43C22semidirect
691. #10621872#41semidirect
695. C8×D43#41semidirect
868. #3172D43semidirect
929. #533C2×D43semidirect
948. #501C2×D43semidirect
954. #497C2×D43semidirect
962. #491C2×D43semidirect
968. #489C2×D43semidirect
979. #470C2×D43semidirect
980. #470C2×D43semidirect
1027. C4×Q16C2×D43semidirect
1028. C4×Q16C2×D43semidirect
1035. C4×SD16C2×D43semidirect
1036. C4×SD16C2×D43semidirect
1064. C4×M16C2×D43semidirect
1065. C43#60709semidirect

Maximal subgroups

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

subgroupindex
#191483422
#191483182
#191453252
#191453182
#191453142
#191453082
#191452832
#191452742
#191452672
#191452602
#191452362
#191452332
#191452262
#191452192
#191451962
#191451902
#191451832
#191451302
#191450702
#191449612
#191449462
#191442242
#191442092
#191442062
#468×D432
#191434702
#191434492
#191434332
#191434222
#191430122
C43×#31722
#6070943