Finite Group Databasebeta

← #25966839

Subgroups — #25966839

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#19148335C211yesmaximal, characteristic, complemented
2#19148325C211yesmaximal, characteristic, complemented
3#19145319C211yesmaximal, characteristic, complemented
4#19145318C211yesmaximal, characteristic, complemented
5#19145309C211yesmaximal, characteristic, complemented
6#19145308C211yesmaximal, characteristic, complemented
7#19145282C211yesmaximal, characteristic, complemented
8#19145275C211yesmaximal, characteristic, complemented
9#19145268C211yesmaximal, characteristic, complemented
10#19145259C211yesmaximal, characteristic, complemented
11#19145233C211yesmaximal, characteristic, complemented
12#19145230C211yesmaximal, characteristic, complemented
13#19145222C211yesmaximal, characteristic, complemented
14#19145219C211yesmaximal, characteristic, complemented
15#19145201C211yesmaximal, characteristic, complemented
16#19145194C211yesmaximal, characteristic, complemented
17#19145185C211yesmaximal, characteristic, complemented
18#19145130C211yesmaximal, characteristic, complemented
19#19145068C211yesmaximal, characteristic, complemented
20#19144957C211yesmaximal, characteristic, complemented
21#19144950C211yesmaximal, characteristic, complemented
22#19144220C211yesmaximal, characteristic, complemented
23#19144213C211yesmaximal, characteristic, complemented
24#19144202C211yesmaximal, characteristic, complemented
25#468×D43C211yesmaximal, characteristic, complemented
26#19143465C211yesmaximal, characteristic, complemented
27#19143449C211yesmaximal, characteristic, complemented
28#19143431C211yesmaximal, characteristic, complemented
29#19143420C211yesmaximal, characteristic, complemented
30#19143012C211yesmaximal, characteristic, complemented
31C43×#3171C211yesmaximal, characteristic, complemented
32C2×#13063354C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063344C2211yescharacteristic
35C2×SD16×D43C2211yescharacteristic
36C2×M16×D43C2211yescharacteristic
37C2×M16×D43C2211yescharacteristic
38#14583616—21no—
39#14583611—21no—
40#14583608—21no—
41#14583598—21no—
42#14583592—21no—
43#14583588—21no—
44#14583586—21no—
45#14583585—21no—
46#14583582—21no—
47#14583579—21no—
48#14583578—21no—
49#14583578—21no—
50#14583572—21no—
51#14583548—21no—
52#14583538—21no—
53#14583537—21no—
54#14583529C2211yescharacteristic
55#14583526C2211yescharacteristic
56#14583523C2211yescharacteristic
57#14583518C2211yescharacteristic, complemented
58#14583514C2211yescharacteristic
59#14583514C2211yescharacteristic, complemented
60#14583512C2211yescharacteristic, complemented
61#14583507C2211yescharacteristic, complemented
62#14583503C2211yescharacteristic
63#14583500C2211yescharacteristic
64#14583469C2211yescharacteristic
65#14583462C2211yescharacteristic
66#14583456C2211yescharacteristic, complemented
67#14583451C2211yescharacteristic, complemented
68#14583444C2211yescharacteristic
69#14583433C2211yescharacteristic
70#14583430C2211yescharacteristic
71#14583430C2211yescharacteristic, complemented
72#14583409C2211yescharacteristic
73#14583409C2211yescharacteristic
74C22⋊Q8×D43C2211yescharacteristic
75#121×D43C2211yescharacteristic
76#14583378C2211yescharacteristic
77#14583378C2211yescharacteristic
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#14583293C2211yescharacteristic, complemented
89#14583290C2211yescharacteristic, complemented
90#14583287C2211yescharacteristic, complemented
91#14583282C2211yescharacteristic, complemented
92#14583281C2211yescharacteristic, complemented
93#14583271C2211yescharacteristic, complemented
94#14583270C2211yescharacteristic, complemented
95#14583268C2211yescharacteristic, complemented
96#14583266C2211yescharacteristic, complemented
97#14583262C2211yescharacteristic, complemented
98#14583259C2211yescharacteristic, complemented
99#14583257C2211yescharacteristic, complemented
100#14583257C2211yescharacteristic, complemented
101#14583256C2211yescharacteristic, complemented
102#14583253C2211yescharacteristic, complemented
103#14583252C2211yescharacteristic, complemented
104#14583252C2211yescharacteristic, complemented
105#14583251C2211yescharacteristic, complemented
106#14583248C2211yescharacteristic, complemented
107#14583245C2211yescharacteristic, complemented
108#14583244C2211yescharacteristic, complemented
109#14583158C2211yescharacteristic, complemented
110#14583157C2211yescharacteristic, complemented
111#14583157C2211yescharacteristic, complemented
112#14583155C2211yescharacteristic, complemented
113#14583150C2211yescharacteristic
114#14583149C2211yescharacteristic, complemented
115#14583148C2211yescharacteristic
116#14583147C2211yescharacteristic
117#14583146C2211yescharacteristic
118#14583145C2211yescharacteristic
119#14583145C2211yescharacteristic
120#14583144C2211yescharacteristic
121#14583144C2211yescharacteristic, complemented
122#14583144C2211yescharacteristic, complemented
123#14583143C2211yescharacteristic
124#14583143C2211yescharacteristic
125#14583143C2211yescharacteristic, complemented
126#14583143C2211yescharacteristic, complemented
127#14583143C2211yescharacteristic, complemented
128#14583142C2211yescharacteristic
129#14583141C2211yescharacteristic, complemented
130#14583139C2211yescharacteristic, complemented
131#14583134C2211yescharacteristic
132#14583132C2211yescharacteristic
133#14583129C2211yescharacteristic
134#14583127C2211yescharacteristic
135#14583127C2211yescharacteristic, complemented
136#14583125C2211yescharacteristic, complemented
137#14583011C2211yescharacteristic, complemented
138#14583009C2211yescharacteristic, complemented
139#14583005C2211yescharacteristic, complemented
140#14583004C2211yescharacteristic, complemented
141#14583002C2211yescharacteristic, complemented
142#14583000C2211yescharacteristic, complemented
143#14582999C2211yescharacteristic, complemented
144#14582999C2211yescharacteristic, complemented
145#14582999C2211yescharacteristic, complemented
146#14582999C2211yescharacteristic, complemented
147#14582999C2211yescharacteristic, complemented
148#14582998C2211yescharacteristic, complemented
149#14582997C2211yescharacteristic, complemented
150#14582996C2211yescharacteristic, complemented
151#14582996C2211yescharacteristic, complemented
152#14582996C2211yescharacteristic, complemented
153C4×Dic172C2211yescharacteristic, complemented
154C4×Dic172C2211yescharacteristic, complemented
155#14582993C2211yescharacteristic, complemented
156#14582991C2211yescharacteristic, complemented
157#14582990C2211yescharacteristic, complemented
158#14582990C2211yescharacteristic, complemented
159C4×#10621873C2211yescharacteristic, complemented
160C4×#10621873C2211yescharacteristic, complemented
161SD16×Dic43C2211yescharacteristic, complemented
162#14582986C2211yescharacteristic, complemented
163D8×Dic43C2211yescharacteristic, complemented
164#14582979C2211yescharacteristic, complemented
165#14582940C2211yescharacteristic
166#14582938C2211yescharacteristic
167#14582934C2211yescharacteristic
168#107×D43C2211yescharacteristic
169#14582906C2211yescharacteristic
170#14582902C2211yescharacteristic
171#14582897C2211yescharacteristic
172#14582897C2211yescharacteristic
173#14582892C2211yescharacteristic
174#14582892C2211yescharacteristic
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×#532C2211yescharacteristic
189C43×#529C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic, complemented
192C43×#490C2211yescharacteristic, complemented
193C43×#489C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic
195C43×#469C2211yescharacteristic, complemented
196C43×#468C2211yescharacteristic
197C43×#468C2211yescharacteristic, complemented
198C4×SD16×C43C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic, complemented
200C4×D8×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic, complemented
202C4×M16×C43C2211yescharacteristic, complemented
203C2×#10621900—21no—
204C2×#10621900C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×Q8×D43C2311yescharacteristic
207C2×D4×D43—21no—
208C2×D4×D43C2311yescharacteristic
209C22×C4×D43C2311yescharacteristic
210#13063354—24no—
211#13063349—24no—
212#13063344—24no—
213C2×Dic172C2311yescharacteristic
214C2×Dic172C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224SD16×D43—24no—
225C2×#10621882C2311yescharacteristic
226C2×#10621877C2311yescharacteristic
227C2×#10621877C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C2×#10621872C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232M16×D43—24no—
233M16×D43—24no—
234C2×C8×D43C2311yescharacteristic
235C2×C8×D43C2311yescharacteristic
236C2×C8×D43C2311yescharacteristic
237C2×C8×D43C2311yescharacteristic
238#13063325C2311yescharacteristic
239#13063325C2311yescharacteristic
240#13063324—21no—
241#13063324C2311yescharacteristic
242#13063324C2311yescharacteristic
243#13063323—21no—
244#13063323C2311yescharacteristic
245#13063321C2311yescharacteristic
246#13063320—21no—
247#13063320—21no—
248#13063320—21no—
249#13063320—21no—
250#13063319—21no—
251#13063319—21no—
252#13063318—21no—
253#13063318—21no—
254#13063318—21no—
255#13063318—21no—
256#13063318—21no—
257#13063317—21no—
258#13063317—21no—
259#13063317C2311yescharacteristic
260#13063316—21no—
261#13063316—21no—
262#13063316C2311yescharacteristic
263#13063316C2311yescharacteristic
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063314—21no—
269#13063313C2311yescharacteristic
270#13063312C2311yescharacteristic
271#13063312C2311yescharacteristic
272#13063311—21no—
273#13063311—21no—
274#13063311—21no—
275#13063311—21no—
276#13063310—21no—
277#13063309—21no—
278#13063308—21no—
279#13063308—21no—
280#13063308—21no—
281#13063308—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307—21no—
287#13063306—21no—
288#13063306—21no—
289#13063306—21no—
290#13063306—21no—
291#13063305—21no—
292#13063305C2311yescharacteristic
293#13063305C2311yescharacteristic
294#13063305C2311yescharacteristic
295#13063304—21no—
296#13063304—21no—
297#13063304—21no—
298#13063304C2311yescharacteristic
299#13063304C2311yescharacteristic
300#13063304C2311yescharacteristic
301#13063303—21no—
302#13063303—21no—
303#13063303—21no—
304#13063302—21no—
305#13063302—21no—
306#13063302—21no—
307#13063302—21no—
308#13063302—21no—
309#13063301—21no—
310#13063301—21no—
311#13063301C2311yescharacteristic
312#13063300C2311yescharacteristic
313#13063299—21no—
314#13063299C2311yescharacteristic
315#13063298—21no—
316#13063298—21no—
317#13063297—21no—
318#13063297—21no—
319#13063297—21no—
320#13063297—21no—
321#13063297—21no—
322#13063297—21no—
323#13063296C2311yescharacteristic
324#13063296C2311yescharacteristic
325#13063296C2311yescharacteristic
326#13063293—21no—
327#13063293—21no—
328#13063293—21no—
329#13063293—21no—
330Q8×Dic43C2311yescharacteristic
331C4×Dic86—21no—
332C4×Dic86—21no—
333C4×Dic86C2311yescharacteristic
334C4×Dic86C2311yescharacteristic
335C4×Dic86C2311yescharacteristic
336#13063290—21no—
337#13063290—21no—
338#13063290C2311yescharacteristic
339#13063290C2311yescharacteristic
340#13063290C2311yescharacteristic
341C4×D172C2311yescharacteristic
342D4×Dic43—21no—
343D4×Dic43—21no—
344D4×Dic43—21no—
345D4×Dic43—21no—
346D4×Dic43C2311yescharacteristic
347D4×Dic43C2311yescharacteristic
348D4×Dic43C2311yescharacteristic
349#13063287C2311yescharacteristic
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354(C22⋊D43)⋊C4—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#13063284—21no—
361#13063283—21no—
362#13063283C2311yescharacteristic
363#13063283C2311yescharacteristic
364#13063282—21no—
365#13063282—21no—
366#13063282D411yescharacteristic
367#13063282D411yescharacteristic
368#13063282D411yescharacteristic
369#13063282D411yescharacteristic
370#13063282C2311yescharacteristic
371#13063282C2311yescharacteristic
372#13063282C2311yescharacteristic
373#13063282C2311yescharacteristic
374#13063281—21no—
375#13063281—21no—
376#13063281—21no—
377#13063281—21no—
378#13063281—21no—
379C2×Dic43⋊C4—21no—
380C2×Dic43⋊C4—21no—
381C2×Dic43⋊C4D411yescharacteristic
382C2×Dic43⋊C4D411yescharacteristic
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#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
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×#41×C43—21no—
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445C2×D8×C43C2311yescharacteristic
446C2×M16×C43C2311yescharacteristic
447C2×M16×C43C2311yescharacteristic
448C4⋊Q8×C43C2311yescharacteristic
449#127×C43C2311yescharacteristic
450#126×C43—21no—
451#125×C43C2311yescharacteristic
452#124×C43—21no—
453#124×C43C2311yescharacteristic
454#123×C43—21no—
455C22⋊Q8×C43C2311yescharacteristic
456#121×C43—21no—
457#121×C43C2311yescharacteristic
458#121×C43C2311yescharacteristic
459#121×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×D4×C43—21no—
462C4×D4×C43—21no—
463C4×D4×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
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#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481#97×C43C2311yescharacteristic
482C4×C8×C43C2311yescharacteristic
483C4×C8×C43C2311yescharacteristic
484C23×D43—21no—
485C23×D43C2×D411yescharacteristic
486#41×C43—82no—
487C2×Q8×C43—21no—
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43C2411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43C2×D411yescharacteristic
501C22×C4×C43C2×D411yescharacteristic
502C22×C4×C43C2411yescharacteristic
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43C2×D411yescharacteristic
518C22×Dic43C2×D411yescharacteristic
519C22×Dic43C2×D411yescharacteristic
520Q8×D43—22no—
521Q8×D43—22no—
522#10621900—22no—
523#10621900—22no—
524#10621900—22no—
525#10621900—22no—
526#10621900—82no—
527D4×D43—22no—
528D4×D43—22no—
529D4×D43—82no—
530C2×D172—21no—
531C2×D172C2411yescharacteristic
532C2×C4×D43—22no—
533C2×C4×D43—22no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43C2×D411yescharacteristic
540C2×C4×D43C2×D411yescharacteristic
541C2×C4×D43C2411yescharacteristic
542C2×C4×D43C2411yescharacteristic
543C2×Dic86—21no—
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86—21no—
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549C2×Dic86C2411yescharacteristic
550SD16×C43—22no—
551SD16×C43—22no—
552D8×C43—22no—
553D8×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×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C42×C43—21no—
579C42×C43C2×D411yescharacteristic
580C42×C43C2×D411yescharacteristic
581C42×C43C2411yescharacteristic
582C42×C43C2411yescharacteristic
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
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⋊Dic43—21no—
595C22⋊Dic43—21no—
596#10621885—22no—
597#10621884—22no—
598#10621883—22no—
599#10621883—22no—
600#10621883—22no—
601#10621883—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)⋊C4C2×D411yescharacteristic
617(C2×D43)⋊C4C2×D411yescharacteristic
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
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×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
684Dic172—22no—
685Dic172—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×C43—21no—
699C23×C43C22×D411yescharacteristic
700C22×D43—22no—
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—81no—
712D4×C43—21no—
713D4×C43—21no—
714D4×C43—21no—
715D4×C43—21no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—42no—
719D4×C43—42no—
720D4×C43—42no—
721D4×C43—81no—
722D4×C43—81no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—41no—
731C2×C4×C43—41no—
732C2×C4×C43—81no—
733C2×C4×C43—81no—
734C2×C4×C43—81no—
735C2×C4×C43C22×D411yescharacteristic
736C2×C4×C43C22×D411yescharacteristic
737C2×C4×C43C22×D411yescharacteristic
738C2×C4×C43C22×D411yescharacteristic
739C2×C4×C43C22×D411yescharacteristic
740C2×C4×C43C2511yescharacteristic
741C22⋊D43—42no—
742C22⋊D43—42no—
743C22⋊D43—42no—
744C22⋊D43—42no—
745C22⋊D43—81no—
746C22⋊D43—81no—
747C22⋊D43—81no—
748C22⋊D43—81no—
749C22⋊D43—81no—
750C2×Dic43—22no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—41no—
759C2×Dic43—41no—
760C2×Dic43—42no—
761C2×Dic43—42no—
762C2×Dic43—81no—
763C2×Dic43—81no—
764C2×Dic43—81no—
765C2×Dic43C22×D411yescharacteristic
766C2×Dic43C22×D411yescharacteristic
767C2×Dic43C22×D411yescharacteristic
768C2×Dic43C22×D411yescharacteristic
769C2×Dic43C22×D411yescharacteristic
770C2×Dic43C22×D411yescharacteristic
771D172—21no—
772D172—21no—
773D172—81no—
774C4×D43—22no—
775C4×D43—21no—
776C4×D43—21no—
777C4×D43—22no—
778C4×D43—42no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782C4×D43—81no—
783C4×D43C2×#4112yes—
784C4×D43C2×#4112yes—
785Dic86—21no—
786Dic86—21no—
787Dic86—21no—
788Dic86—21no—
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×C43—41no—
811C22×C43—41no—
812C22×C43—41no—
813C22×C43—41no—
814C22×C43—41no—
815C22×C43—41no—
816C22×C43C23×D411yescharacteristic
817C2×D43—21no—
818C2×D43—21no—
819C2×D43—21no—
820C2×D43—21no—
821C2×D43—21no—
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×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—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#3172—431no—
869#3171—431no—
870#3171D4311yescharacteristic, complemented
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×C43—81no—
887C2×C43—81no—
888C2×C43C2×#53211yescharacteristic
889C2×C43#358511yescharacteristic
890C2×C43#358611yescharacteristic
891D43—22no—
892D43—41no—
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#533—431no—
930#532—431no—
931#532C2×D4311yescharacteristic
932#529—431no—
933#529—431no—
934#529—431no—
935#529C2×D4311yescharacteristic, complemented
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#497—431no—
955#496—431no—
956#496C2×D4311yescharacteristic, complemented
957#495—431no—
958#495—431no—
959#492—431no—
960#492—431no—
961#491—431no—
962#491—431no—
963#490—431no—
964#490C2×D4311yescharacteristic, complemented
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#470—431no—
980#470—431no—
981#469—431no—
982#469—431no—
983#469C2×D4311yescharacteristic
984#469C2×D4311yescharacteristic, complemented
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, complemented
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×Q16—431no—
1028C4×Q16—431no—
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×D8C2×D4311yescharacteristic, complemented
1040C4×D8C2×D4311yescharacteristic, complemented
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—21no—
1067C2×#41—431no—
1068C2×#41—431no—
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×Q16—431no—
1079C2×Q16—431no—
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×D8C22×D4311yescharacteristic
1093C2×D8C22×D4311yescharacteristic
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—431no—
1113C4⋊Q8—861no—
1114C4⋊Q8—861no—
1115C4⋊Q8C22×D4311yescharacteristic
1116#127—431no—
1117#127C22×D4311yescharacteristic
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—431no—
1131#125—431no—
1132#125—431no—
1133#125—861no—
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—21no—
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#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—431no—
1169C22⋊Q8—431no—
1170C22⋊Q8—431no—
1171C22⋊Q8—431no—
1172C22⋊Q8—431no—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
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⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8C22×D4311yescharacteristic
1190#121—21no—
1191#121—431no—
1192#121—431no—
1193#121—431no—
1194#121—431no—
1195#121—431no—
1196#121—861no—
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#121C22×D4311yescharacteristic
1206#121C22×D4311yescharacteristic
1207#121C22×D4311yescharacteristic
1208#120—861no—
1209#120—861no—
1210#120—861no—
1211#120—861no—
1212C4×Q8—431no—
1213C4×Q8—431no—
1214C4×Q8—431no—
1215C4×Q8—431no—
1216C4×Q8—431no—
1217C4×Q8—431no—
1218C4×Q8—431no—
1219C4×Q8—861no—
1220C4×Q8—861no—
1221C4×Q8—861no—
1222C4×Q8—861no—
1223C4×Q8C22×D4311yescharacteristic
1224C4×D4—21no—
1225C4×D4—21no—
1226C4×D4—431no—
1227C4×D4—431no—
1228C4×D4—431no—
1229C4×D4—431no—
1230C4×D4—431no—
1231C4×D4—861no—
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×D4C22×D4311yescharacteristic
1246C4×D4C22×D4311yescharacteristic
1247C4×D4C22×D4311yescharacteristic
1248#117—21no—
1249#117—431no—
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—861no—
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#103—431no—
1310#103—431no—
1311#103—431no—
1312#103—431no—
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#102C22×D4311yescharacteristic
1326#102C22×D4311yescharacteristic
1327#102C22×D4311yescharacteristic
1328#102C22×D4311yescharacteristic
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—82no—
1350#41—862no—
1351#41—862no—
1352#41—862no—
1353#41—862no—
1354#41—3442no—
1355C2×Q8—21no—
1356C2×Q8—431no—
1357C2×Q8—431no—
1358C2×Q8—431no—
1359C2×Q8—861no—
1360C2×Q8—861no—
1361C2×Q8—861no—
1362C2×Q8—862no—
1363C2×Q8—862no—
1364C2×Q8—861no—
1365C2×Q8C23×D4311yescharacteristic
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—431no—
1372C2×D4—861no—
1373C2×D4—862no—
1374C2×D4—862no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—861no—
1379C2×D4—861no—
1380C2×D4—861no—
1381C2×D4—861no—
1382C2×D4—861no—
1383C2×D4—861no—
1384C2×D4—3442no—
1385C2×D4C23×D4311yescharacteristic
1386C2×D4C23×D4311yescharacteristic
1387C2×D4C23×D4311yescharacteristic
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—431no—
1392C22×C4—431no—
1393C22×C4—431no—
1394C22×C4—431no—
1395C22×C4—431no—
1396C22×C4—431no—
1397C22×C4—431no—
1398C22×C4—862no—
1399C22×C4—862no—
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—862no—
1414Q16—862no—
1415Q16—862no—
1416SD16—22no—
1417SD16—22no—
1418SD16—862no—
1419SD16—862no—
1420SD16—862no—
1421SD16—862no—
1422SD16—862no—
1423SD16—862no—
1424SD16—862no—
1425SD16—862no—
1426D8—22no—
1427D8—22no—
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—431no—
1455C4⋊C4—431no—
1456C4⋊C4—431no—
1457C4⋊C4—431no—
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—861no—
1467C4⋊C4—861no—
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⋊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—21no—
1507C22⋊C4—21no—
1508C22⋊C4—431no—
1509C22⋊C4—431no—
1510C22⋊C4—431no—
1511C22⋊C4—431no—
1512C22⋊C4—431no—
1513C22⋊C4—431no—
1514C22⋊C4—431no—
1515C22⋊C4—431no—
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—431no—
1543C42—431no—
1544C42—431no—
1545C42—431no—
1546C42—861no—
1547C42—861no—
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—21no—
1561C23—21no—
1562C23—431no—
1563C23—431no—
1564C23—862no—
1565C23—861no—
1566C23—3441no—
1567C23—3441no—
1568C23—1721no—
1569C23—1721no—
1570C23—1722no—
1571C23C2×D4×D4311yescharacteristic
1572Q8—21no—
1573Q8—21no—
1574Q8—81no—
1575Q8—861no—
1576Q8—861no—
1577Q8—861no—
1578Q8—861no—
1579Q8—861no—
1580Q8—861no—
1581Q8—3441no—
1582Q8—3441no—
1583Q8—3441no—
1584Q8—1722no—
1585D4—21no—
1586D4—21no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—42no—
1592D4—42no—
1593D4—42no—
1594D4—81no—
1595D4—81no—
1596D4—861no—
1597D4—861no—
1598D4—3441no—
1599D4—3441no—
1600D4—3441no—
1601D4—3441no—
1602D4—3441no—
1603D4—3441no—
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—41no—
1616C2×C4—41no—
1617C2×C4—81no—
1618C2×C4—81no—
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—861no—
1639C2×C4—861no—
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—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—432no—
1679C22—861no—
1680C22—861no—
1681C22—861no—
1682C22—861no—
1683C22—861no—
1684C22—3442no—
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—432no—
1701C4—861no—
1702C4—861no—
1703C4—861no—
1704C4—861no—
1705C4—861no—
1706C4—1721no—
1707C4—1721no—
1708C4—1721no—
1709C4—1721no—
1710C4—1721no—
1711C4—1721no—
1712C4—1721no—
1713C4C2×#41×D4311yescharacteristic
1714C4C2×#41×D4311yescharacteristic
1715C2—41no—
1716C2—81no—
1717C2—81no—
1718C2—81no—
1719C2—862no—
1720C2—3441no—
1721C2—1721no—
1722C2#532×D4311yescharacteristic
1723C2#1914937111yescharacteristic
1724C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3171C2
socleC22×C43C23×D4
hypercenter#3171D43
hypocenterC43#60709
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3171

Complements

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

NH ≅ G/Ntype
1. #19148335C2semidirect
2. #19148325C2semidirect
3. #19145319C2semidirect
4. #19145318C2semidirect
5. #19145309C2semidirect
6. #19145308C2semidirect
7. #19145282C2semidirect
8. #19145275C2semidirect
9. #19145268C2semidirect
10. #19145259C2semidirect
11. #19145233C2semidirect
12. #19145230C2semidirect
13. #19145222C2semidirect
14. #19145219C2semidirect
15. #19145201C2semidirect
16. #19145194C2semidirect
17. #19145185C2semidirect
18. #19145130C2semidirect
19. #19145068C2semidirect
20. #19144957C2semidirect
21. #19144950C2semidirect
22. #19144220C2semidirect
23. #19144213C2semidirect
24. #19144202C2semidirect
25. #468×D43C2semidirect
26. #19143465C2semidirect
27. #19143449C2semidirect
28. #19143431C2semidirect
29. #19143420C2semidirect
30. #19143012C2semidirect
31. C43×#3171C2semidirect
57. #14583518C22semidirect
59. #14583514C22semidirect
60. #14583512C22semidirect
61. #14583507C22semidirect
66. #14583456C22semidirect
67. #14583451C22semidirect
71. #14583430C22semidirect
81. #14583308C22semidirect
82. #14583307C22semidirect
83. #14583306C22semidirect
84. #14583303C22semidirect
85. #14583302C22semidirect
86. #14583299C22semidirect
87. #14583298C22semidirect
88. #14583293C22semidirect
89. #14583290C22semidirect
90. #14583287C22semidirect
91. #14583282C22semidirect
92. #14583281C22semidirect
93. #14583271C22semidirect
94. #14583270C22semidirect
95. #14583268C22semidirect
96. #14583266C22semidirect
97. #14583262C22semidirect
98. #14583259C22semidirect
99. #14583257C22semidirect
100. #14583257C22semidirect
101. #14583256C22semidirect
102. #14583253C22semidirect
103. #14583252C22semidirect
104. #14583252C22semidirect
105. #14583251C22semidirect
106. #14583248C22semidirect
107. #14583245C22semidirect
108. #14583244C22semidirect
109. #14583158C22semidirect
110. #14583157C22semidirect
111. #14583157C22semidirect
112. #14583155C22semidirect
114. #14583149C22semidirect
121. #14583144C22semidirect
122. #14583144C22semidirect
125. #14583143C22semidirect
126. #14583143C22semidirect
127. #14583143C22semidirect
129. #14583141C22semidirect
130. #14583139C22semidirect
135. #14583127C22semidirect
136. #14583125C22semidirect
137. #14583011C22semidirect
138. #14583009C22semidirect
139. #14583005C22semidirect
140. #14583004C22semidirect
141. #14583002C22semidirect
142. #14583000C22semidirect
143. #14582999C22semidirect
144. #14582999C22semidirect
145. #14582999C22semidirect
146. #14582999C22semidirect
147. #14582999C22semidirect
148. #14582998C22semidirect
149. #14582997C22semidirect
150. #14582996C22semidirect
151. #14582996C22semidirect
152. #14582996C22semidirect
153. C4×Dic172C22semidirect
154. C4×Dic172C22semidirect
155. #14582993C22semidirect
156. #14582991C22semidirect
157. #14582990C22semidirect
158. #14582990C22semidirect
159. C4×#10621873C22semidirect
160. C4×#10621873C22semidirect
161. SD16×Dic43C22semidirect
162. #14582986C22semidirect
163. D8×Dic43C22semidirect
164. #14582979C22semidirect
179. #14582856C22semidirect
180. #14582856C22semidirect
183. #14582853C22semidirect
184. #14582853C22semidirect
185. C4×#10621877C22semidirect
186. M16×Dic43C22semidirect
187. M16×Dic43C22semidirect
189. C43×#529C22semidirect
190. C43×#501C22semidirect
191. C43×#496C22semidirect
192. C43×#490C22semidirect
193. C43×#489C22semidirect
195. C43×#469C22semidirect
197. C43×#468C22semidirect
198. C4×SD16×C43C22semidirect
199. C4×SD16×C43C22semidirect
200. C4×D8×C43C22semidirect
201. C4×D8×C43C22semidirect
202. C4×M16×C43C22semidirect
691. #10621872#41semidirect
695. C8×D43#41semidirect
870. #3171D43semidirect
935. #529C2×D43semidirect
948. #501C2×D43semidirect
956. #496C2×D43semidirect
964. #490C2×D43semidirect
968. #489C2×D43semidirect
984. #469C2×D43semidirect
1000. #468C2×D43semidirect
1035. C4×SD16C2×D43semidirect
1036. C4×SD16C2×D43semidirect
1039. C4×D8C2×D43semidirect
1040. C4×D8C2×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
#191483352
#191483252
#191453192
#191453182
#191453092
#191453082
#191452822
#191452752
#191452682
#191452592
#191452332
#191452302
#191452222
#191452192
#191452012
#191451942
#191451852
#191451302
#191450682
#191449572
#191449502
#191442202
#191442132
#191442022
#468×D432
#191434652
#191434492
#191434312
#191434202
#191430122
C43×#31712
#6070943