Finite Group Databasebeta

← #25990378

Subgroups — #25990378

Order 11008.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149185C211yesmaximal, characteristic, complemented
2#19148523C211yesmaximal, characteristic, complemented
3#19147666C211yesmaximal, characteristic, complemented
4#19147607C211yesmaximal, characteristic, complemented
5#19147353C211yesmaximal, characteristic, complemented
6#19147242C211yesmaximal, characteristic, complemented
7#19146902C211yesmaximal, characteristic, complemented
8#19146861C211yesmaximal, characteristic, complemented
9#19146846C211yesmaximal, characteristic, complemented
10#19146719C211yesmaximal, characteristic, complemented
11#19146561C211yesmaximal, characteristic, complemented
12#19146448C211yesmaximal, characteristic, complemented
13#19146306C211yesmaximal, characteristic, complemented
14#19146213C211yesmaximal, characteristic, complemented
15#19146206C211yesmaximal, characteristic, complemented
16#19146205C211yesmaximal, characteristic, complemented
17#19146122C211yesmaximal, characteristic, complemented
18#19146094C211yesmaximal, characteristic, complemented
19#19146043C211yesmaximal, characteristic, complemented
20#19146000C211yesmaximal, characteristic, complemented
21#19145995C211yesmaximal, characteristic, complemented
22#19145706C211yesmaximal, characteristic, complemented
23#19145644C211yesmaximal, characteristic, complemented
24#19145569C211yesmaximal, characteristic, complemented
25#19144814C211yesmaximal, characteristic, complemented
26#19144647C211yesmaximal, characteristic, complemented
27#19144129C211yesmaximal, characteristic, complemented
28#19144107C211yesmaximal, characteristic, complemented
29#19144054C211yesmaximal, characteristic, complemented
30#19143738C211yesmaximal, characteristic, complemented
31C43×#3122C211yesmaximal, characteristic, complemented
32C2×#13063351C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063349C2211yescharacteristic
35C2×#13063349C2211yescharacteristic, complemented
36C2×#13063344C2211yescharacteristic
37C22×#10621883C2211yescharacteristic, complemented
38#14583646—21no—
39#14583637—21no—
40#14583632C2211yescharacteristic, complemented
41#14583632C2211yescharacteristic, complemented
42#14583619C2211yescharacteristic, complemented
43#14583606C2211yescharacteristic, complemented
44#14583601—21no—
45#14583595—21no—
46#14583593C2211yescharacteristic
47#14583588C2211yescharacteristic, complemented
48#14583578—21no—
49#14583575—21no—
50#14583572—21no—
51#14583567C2211yescharacteristic
52#14583555C2211yescharacteristic
53#14583555C2211yescharacteristic, complemented
54#14583554C2211yescharacteristic
55#14583553C2211yescharacteristic, complemented
56#14583546C2211yescharacteristic, complemented
57#14583544C2211yescharacteristic
58#14583544C2211yescharacteristic, complemented
59#14583543C2211yescharacteristic
60#14583539—21no—
61D4×C22⋊D43C2211yescharacteristic, complemented
62#14583520C2211yescharacteristic, complemented
63#14583512C2211yescharacteristic, complemented
64#14583502—21no—
65#14583500C2211yescharacteristic
66#14583493—21no—
67#14583491—21no—
68#14583487—21no—
69#14583486—21no—
70#14583485—21no—
71#14583475C2211yescharacteristic, complemented
72#14583462C2211yescharacteristic, complemented
73#14583447C2211yescharacteristic, complemented
74#14583434C2211yescharacteristic, complemented
75#14583431C2211yescharacteristic, complemented
76#14583427C2211yescharacteristic
77#14583408—21no—
78C2×#13063307—21no—
79#14583378C2211yescharacteristic
80C4×D4×D43C2211yescharacteristic, complemented
81#14583293C2211yescharacteristic, complemented
82#14583287C2211yescharacteristic
83#14583283C2211yescharacteristic, complemented
84#14583282C2211yescharacteristic, complemented
85#14583282C2211yescharacteristic, complemented
86#14583274C2211yescharacteristic
87#14583262C2211yescharacteristic, complemented
88#14583259C2211yescharacteristic, complemented
89#14583252C2211yescharacteristic, complemented
90#14583252C2211yescharacteristic, complemented
91#14583252C2211yescharacteristic, complemented
92#14583250C2211yescharacteristic, complemented
93#14583236C2211yescharacteristic, complemented
94#14583236C2211yescharacteristic, complemented
95#14583231C2211yescharacteristic, complemented
96#14583219C2211yescharacteristic, complemented
97#14583209C2211yescharacteristic, complemented
98#14583205C2211yescharacteristic, complemented
99#14583205C2211yescharacteristic, complemented
100#14583203C2211yescharacteristic, complemented
101#14583198C2211yescharacteristic, complemented
102#14583196C2211yescharacteristic, complemented
103#14583189C2211yescharacteristic, complemented
104#14583179C2211yescharacteristic, complemented
105#14583158C2211yescharacteristic, complemented
106#14583151C2211yescharacteristic
107#14583150C2211yescharacteristic, complemented
108#14583146C2211yescharacteristic, complemented
109#14583146C2211yescharacteristic, complemented
110#14583144C2211yescharacteristic, complemented
111#14583144C2211yescharacteristic, complemented
112#14583143C2211yescharacteristic, complemented
113#14583133C2211yescharacteristic
114#14583129C2211yescharacteristic, complemented
115#14583127C2211yescharacteristic, complemented
116#14583126C2211yescharacteristic, complemented
117#14583122C2211yescharacteristic, complemented
118#14583120C2211yescharacteristic, complemented
119#14583120C2211yescharacteristic, complemented
120#14583115C2211yescharacteristic, complemented
121#14583114C2211yescharacteristic
122#14583114C2211yescharacteristic
123#14583114C2211yescharacteristic, complemented
124#14583114C2211yescharacteristic, complemented
125#14583114C2211yescharacteristic, complemented
126#14583114C2211yescharacteristic, complemented
127#14583113C2211yescharacteristic, complemented
128#14583113C2211yescharacteristic, complemented
129#14583113C2211yescharacteristic, complemented
130#14583112C2211yescharacteristic
131#14583112C2211yescharacteristic
132#14583112C2211yescharacteristic, complemented
133#14583110C2211yescharacteristic, complemented
134#14583105C2211yescharacteristic, complemented
135#14583104C2211yescharacteristic, complemented
136#14583104C2211yescharacteristic, complemented
137#14583104C2211yescharacteristic, complemented
138#14583104C2211yescharacteristic, complemented
139#14583098C2211yescharacteristic, complemented
140#14583098C2211yescharacteristic, complemented
141#14583098C2211yescharacteristic, complemented
142#14583096C2211yescharacteristic, complemented
143#14583092C2211yescharacteristic
144#14583091C2211yescharacteristic, complemented
145#14583063C2211yescharacteristic, complemented
146#14583062C2211yescharacteristic
147#14583062C2211yescharacteristic
148#14583062C2211yescharacteristic, complemented
149#14583062C2211yescharacteristic, complemented
150#14583057C2211yescharacteristic, complemented
151#14583051C2211yescharacteristic, complemented
152#14583046C2211yescharacteristic
153#14583045C2211yescharacteristic, complemented
154#14583041C2211yescharacteristic
155#14583041C2211yescharacteristic, complemented
156#14583041C2211yescharacteristic, complemented
157#14583040C2211yescharacteristic, complemented
158#14583034C2211yescharacteristic
159#14583034C2211yescharacteristic, complemented
160#14583031C2211yescharacteristic, complemented
161#14583027C2211yescharacteristic, complemented
162C8×Dic86C2211yescharacteristic, complemented
163#14583005C2211yescharacteristic, complemented
164#14582996C2211yescharacteristic, complemented
165#14582993C2211yescharacteristic, complemented
166#14582990C2211yescharacteristic, complemented
167#14582990C2211yescharacteristic, complemented
168#14582986C2211yescharacteristic, complemented
169#14582981C2211yescharacteristic, complemented
170#14582979C2211yescharacteristic
171#14582978C2211yescharacteristic, complemented
172#14582974C2211yescharacteristic, complemented
173#14582974C2211yescharacteristic, complemented
174#14582972C2211yescharacteristic, complemented
175#14582967C2211yescharacteristic, complemented
176(C22⋊D43)⋊C8C2211yescharacteristic, complemented
177#14582959C2211yescharacteristic, complemented
178#14582951C2211yescharacteristic, complemented
179#14582926C2211yescharacteristic, complemented
180#14582924C2211yescharacteristic, complemented
181#14582921C2211yescharacteristic, complemented
182#14582907C2211yescharacteristic, complemented
183#14582897C2211yescharacteristic, complemented
184#14582897C2211yescharacteristic, complemented
185#14582897C2211yescharacteristic, complemented
186#14582893C2211yescharacteristic, complemented
187#102×D43C2211yescharacteristic, complemented
188C43×#540C2211yescharacteristic, complemented
189C43×#518C2211yescharacteristic, complemented
190C43×#482C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#478C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic, complemented
194C43×#459C2211yescharacteristic
195C43×#459C2211yescharacteristic, complemented
196C43×#447C2211yescharacteristic
197C43×#447C2211yescharacteristic, complemented
198C43×#442C2211yescharacteristic, complemented
199C43×#442C2211yescharacteristic, complemented
200C4×D8×C43C2211yescharacteristic
201C4×D8×C43C2211yescharacteristic, complemented
202C43×#433C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×#10621900C2311yescharacteristic
207C2×#10621900C2311yescharacteristic
208C2×#10621900C2311yescharacteristic
209C22×Dic86C2311yescharacteristic
210C22×C22⋊D43—21no—
211C2×D4×D43C2311yescharacteristic
212C2×D4×D43C2311yescharacteristic
213C22×C4×D43—21no—
214#13063351—42no—
215#13063349—42no—
216#13063349—42no—
217#13063349—42no—
218#13063344—42no—
219C2×Dic172C2311yescharacteristic
220C2×Dic172C2311yescharacteristic
221C2×Dic172C2311yescharacteristic
222C2×#10621873C2311yescharacteristic
223C2×#10621873C2311yescharacteristic
224C2×#10621873C2311yescharacteristic
225C2×#10621873C2311yescharacteristic
226C2×#10621883—42no—
227C2×#10621883C2311yescharacteristic
228C2×#10621883C2311yescharacteristic
229C2×#10621883C2311yescharacteristic
230C2×#10621883C2311yescharacteristic
231C2×#10621883C2311yescharacteristic
232C2×#10621883C2311yescharacteristic
233C2×#10621883C2311yescharacteristic
234C2×#10621883C2311yescharacteristic
235C2×D344C2311yescharacteristic
236C2×#10621882C2311yescharacteristic
237C2×#10621882C2311yescharacteristic
238C2×#10621882C2311yescharacteristic
239C2×#10621882C2311yescharacteristic
240C2×#10621877C2311yescharacteristic
241C2×#10621872C2311yescharacteristic
242C2×#10621872C2311yescharacteristic
243C2×#10621872C2311yescharacteristic
244C22×C43⋊C8C2311yescharacteristic
245C2×C8×D43C2311yescharacteristic
246#13063325C2311yescharacteristic
247#13063325C2311yescharacteristic
248#13063325C2311yescharacteristic
249#13063321—21no—
250#13063321C2311yescharacteristic
251#13063321C2311yescharacteristic
252#13063320—21no—
253#13063320—21no—
254#13063320—21no—
255#13063320—21no—
256#13063320D411yescharacteristic
257#13063319—21no—
258#13063318—21no—
259#13063318—21no—
260#13063318—21no—
261#13063318—21no—
262#13063318D411yescharacteristic
263#13063317—21no—
264#13063316—21no—
265#13063316—21no—
266#13063316C2311yescharacteristic
267#13063316C2311yescharacteristic
268#13063315D411yescharacteristic
269#13063313C2311yescharacteristic
270#13063313C2311yescharacteristic
271#13063313C2311yescharacteristic
272#13063312C2311yescharacteristic
273#13063312C2311yescharacteristic
274#13063312C2311yescharacteristic
275#13063312C2311yescharacteristic
276#13063311—21no—
277#13063311—21no—
278#13063311—21no—
279#13063311—21no—
280#13063311—21no—
281#13063311D411yescharacteristic
282#13063310—21no—
283#13063310D411yescharacteristic
284#13063309—21no—
285#13063309—21no—
286#13063309—21no—
287#13063309—21no—
288#13063309—21no—
289#13063309—21no—
290#13063308—21no—
291#13063308—21no—
292#13063308—21no—
293#13063307—21no—
294#13063307—21no—
295#13063307—21no—
296#13063307—21no—
297#13063307—21no—
298#13063307—21no—
299#13063307—21no—
300#13063307—21no—
301#13063307—21no—
302#13063307—21no—
303#13063307D411yescharacteristic
304#13063306—21no—
305#13063305—21no—
306#13063305—21no—
307#13063305C2311yescharacteristic
308#13063305C2311yescharacteristic
309#13063305C2311yescharacteristic
310#13063305C2311yescharacteristic
311#13063304—21no—
312#13063304—21no—
313#13063304—21no—
314#13063304C2311yescharacteristic
315#13063303—21no—
316#13063303D411yescharacteristic
317#13063302—21no—
318#13063302—21no—
319#13063302—21no—
320#13063302—21no—
321#13063300C2311yescharacteristic
322#13063300C2311yescharacteristic
323#13063299—21no—
324#13063299—21no—
325#13063299—21no—
326#13063299—21no—
327#13063299C2311yescharacteristic
328#13063298—21no—
329#13063298—21no—
330#13063298—21no—
331#13063298D411yescharacteristic
332#13063297—21no—
333#13063297—21no—
334#13063297—21no—
335#13063297—21no—
336#13063297—21no—
337#13063297—21no—
338#13063297—21no—
339#13063296—21no—
340#13063296—21no—
341#13063296—21no—
342#13063296C2311yescharacteristic
343#13063296C2311yescharacteristic
344#13063295—21no—
345#13063295—21no—
346#13063294—21no—
347#13063294—21no—
348#13063293—21no—
349#13063293—21no—
350#13063293—21no—
351#13063293—21no—
352C4×Dic86C2311yescharacteristic
353C4×Dic86C2311yescharacteristic
354#13063290C2311yescharacteristic
355#13063290C2311yescharacteristic
356#13063290C2311yescharacteristic
357#13063290C2311yescharacteristic
358C4×D172—21no—
359C4×D172C2311yescharacteristic
360C4×D172C2311yescharacteristic
361D4×Dic43—21no—
362D4×Dic43—21no—
363D4×Dic43—21no—
364D4×Dic43—21no—
365D4×Dic43C2311yescharacteristic
366D4×Dic43C2311yescharacteristic
367#13063287—21no—
368#13063287C2311yescharacteristic
369#13063287C2311yescharacteristic
370C4×C22⋊D43—21no—
371C4×C22⋊D43—21no—
372C4×C22⋊D43—21no—
373C4×C22⋊D43—21no—
374C4×C22⋊D43—21no—
375C4×C22⋊D43C2311yescharacteristic
376C4×C22⋊D43C2311yescharacteristic
377(C22⋊D43)⋊C4—21no—
378(C22⋊D43)⋊C4—21no—
379(C22⋊D43)⋊C4—21no—
380#13063284—21no—
381#13063284—21no—
382#13063283—21no—
383#13063282—21no—
384#13063282C2311yescharacteristic
385#13063281—21no—
386C2×C4⋊Dic43—21no—
387C2×C4⋊Dic43—21no—
388C2×Dic43⋊C4—21no—
389C4⋊C4×D43C2311yescharacteristic
390C4⋊C4×D43C2311yescharacteristic
391C2×C22⋊Dic43—21no—
392C2×(C2×D43)⋊C4—21no—
393C2×(C2×D43)⋊C4—21no—
394C22⋊C4×D43—21no—
395C22⋊C4×D43—21no—
396C42×D43C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401C4⋊(C43⋊C8)C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403C4⋊(C43⋊C8)C2311yescharacteristic
404C4⋊(C43⋊C8)C2311yescharacteristic
405Dic43⋊C8C2311yescharacteristic
406Dic43⋊C8C2311yescharacteristic
407Dic43⋊C8C2311yescharacteristic
408Dic43⋊C8C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063245C2311yescharacteristic
430#13063245C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435(C2×D43)⋊C8C2311yescharacteristic
436(C2×D43)⋊C8C2311yescharacteristic
437#13063235C2311yescharacteristic
438C8×Dic43C2311yescharacteristic
439C8×Dic43C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C22×D4×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445C2×D8×C43C2311yescharacteristic
446#127×C43C2311yescharacteristic
447#125×C43C2311yescharacteristic
448#123×C43—21no—
449#123×C43—21no—
450#121×C43—21no—
451#121×C43—21no—
452#121×C43C2311yescharacteristic
453#121×C43C2311yescharacteristic
454C4×D4×C43—21no—
455C4×D4×C43—21no—
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462#117×C43C2311yescharacteristic
463#117×C43C2311yescharacteristic
464C2×C22⋊C4×C43—21no—
465C2×C22⋊C4×C43—21no—
466#107×C43C2311yescharacteristic
467#107×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470C4⋊C8×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480C22⋊C8×C43C2311yescharacteristic
481C22⋊C8×C43C2311yescharacteristic
482#97×C43C2311yescharacteristic
483C4×C8×C43C2311yescharacteristic
484C24×C43—21no—
485C23×D43—21no—
486C23×D43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—22no—
493C2×D4×C43—41no—
494C2×D4×C43C2411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C2×D4×C43C2411yescharacteristic
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C22×C4×C43—21no—
502C22×C4×C43—21no—
503C22×C4×C43—21no—
504C22×C4×C43C2411yescharacteristic
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—82no—
520C2×C22⋊D43C2×D411yescharacteristic
521C2×C22⋊D43C2×D411yescharacteristic
522C22×Dic43—21no—
523C22×Dic43—21no—
524C22×Dic43—21no—
525C22×Dic43—21no—
526C22×Dic43—21no—
527C22×Dic43—21no—
528C22×Dic43—21no—
529#10621900—22no—
530#10621900—41no—
531#10621900—41no—
532#10621900—41no—
533#10621900—41no—
534#10621900—41no—
535#10621900—41no—
536#10621900—41no—
537D4×D43—22no—
538D4×D43—41no—
539D4×D43—41no—
540D4×D43—41no—
541#10621898—41no—
542#10621898—41no—
543#10621898—82no—
544C2×D172—21no—
545C2×D172—21no—
546C2×D172C2×D411yescharacteristic
547C2×D172C2411yescharacteristic
548C2×D172C2411yescharacteristic
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—82no—
556C2×C4×D43C2×D411yescharacteristic
557C2×C4×D43C2×D411yescharacteristic
558C2×C4×D43C2411yescharacteristic
559C2×C4×D43C2411yescharacteristic
560C2×Dic86—21no—
561C2×Dic86—21no—
562C2×Dic86—41no—
563C2×Dic86—41no—
564C2×Dic86C2×D411yescharacteristic
565C2×Dic86C2411yescharacteristic
566C2×Dic86C2411yescharacteristic
567C2×Dic86C2411yescharacteristic
568C2×Dic86C2411yescharacteristic
569D8×C43—22no—
570D8×C43—22no—
571D8×C43—41no—
572D8×C43—41no—
573C2×C8×C43C2411yescharacteristic
574C2×C8×C43C2411yescharacteristic
575C2×C8×C43C2411yescharacteristic
576C2×C8×C43C2411yescharacteristic
577C4⋊C4×C43—21no—
578C4⋊C4×C43—21no—
579C4⋊C4×C43C2×D411yescharacteristic
580C4⋊C4×C43C2×D411yescharacteristic
581C4⋊C4×C43C2411yescharacteristic
582C4⋊C4×C43C2411yescharacteristic
583C4⋊C4×C43C2411yescharacteristic
584C4⋊C4×C43C2411yescharacteristic
585C22⋊C4×C43—21no—
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43C2×D411yescharacteristic
595C22⋊C4×C43C2×D411yescharacteristic
596C42×C43—21no—
597C42×C43C2411yescharacteristic
598C42×C43C2411yescharacteristic
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43—21no—
610C22⋊Dic43—21no—
611C22⋊Dic43—21no—
612C22⋊Dic43C2×D411yescharacteristic
613C22⋊Dic43C2×D411yescharacteristic
614#10621883—22no—
615#10621883—22no—
616#10621883—22no—
617#10621883—41no—
618#10621883—41no—
619#10621883—41no—
620#10621883—41no—
621#10621883—41no—
622#10621882—22no—
623#10621882—41no—
624#10621882—41no—
625#10621882—41no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4—21no—
640(C2×D43)⋊C4—21no—
641(C2×D43)⋊C4—21no—
642(C2×D43)⋊C4C2×D411yescharacteristic
643(C2×D43)⋊C4C2×D411yescharacteristic
644(C2×D43)⋊C4C2×D411yescharacteristic
645(C2×D43)⋊C4C2×D411yescharacteristic
646(C2×D43)⋊C4C2×D411yescharacteristic
647(C2×D43)⋊C4C2×D411yescharacteristic
648C4⋊Dic43—21no—
649C4⋊Dic43—21no—
650C4⋊Dic43—21no—
651C4⋊Dic43—21no—
652C4⋊Dic43—21no—
653C4⋊Dic43—21no—
654C4⋊Dic43—21no—
655C4⋊Dic43—21no—
656C4⋊Dic43—21no—
657C4⋊Dic43—21no—
658C4⋊Dic43—21no—
659C4⋊Dic43C2×D411yescharacteristic
660C4⋊Dic43C2×D411yescharacteristic
661C4⋊Dic43C2411yescharacteristic
662C4⋊Dic43C2411yescharacteristic
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4—21no—
669Dic43⋊C4—21no—
670Dic43⋊C4—21no—
671Dic43⋊C4—21no—
672Dic43⋊C4—21no—
673Dic43⋊C4C2×D411yescharacteristic
674Dic43⋊C4C2×D411yescharacteristic
675Dic43⋊C4C2×D411yescharacteristic
676Dic43⋊C4C2×D411yescharacteristic
677Dic43⋊C4C2×D411yescharacteristic
678Dic43⋊C4C2×D411yescharacteristic
679C4×Dic43—21no—
680C4×Dic43—21no—
681C4×Dic43—21no—
682C4×Dic43—21no—
683C4×Dic43—21no—
684C4×Dic43C2×D411yescharacteristic
685C4×Dic43C2×D411yescharacteristic
686C4×Dic43C2411yescharacteristic
687C4×Dic43C2411yescharacteristic
688#10621877—41no—
689C2×C43⋊C8—41no—
690C2×C43⋊C8C2411yescharacteristic
691C2×C43⋊C8C2411yescharacteristic
692C2×C43⋊C8C2411yescharacteristic
693C2×C43⋊C8C2411yescharacteristic
694Dic172—41no—
695Dic172—41no—
696Dic172—41no—
697D344—41no—
698#10621873—41no—
699#10621873—41no—
700#10621873—41no—
701#10621873—41no—
702#10621872—41no—
703#10621872—41no—
704#10621872—41no—
705C8×D43—41no—
706C23×C43—21no—
707C23×C43—21no—
708C23×C43—21no—
709C23×C43—21no—
710C23×C43—42no—
711C23×C43—81no—
712C23×C43—81no—
713C23×C43C22×D411yescharacteristic
714C22×D43—21no—
715C22×D43—21no—
716C22×D43—42no—
717C22×D43—42no—
718C22×D43—81no—
719C22×D43—81no—
720C22×D43—81no—
721C22×D43—81no—
722C22×D43C22×D411yescharacteristic
723C22×D43C22×D411yescharacteristic
724D4×C43—21no—
725D4×C43—21no—
726D4×C43—21no—
727D4×C43—21no—
728D4×C43—21no—
729D4×C43—21no—
730D4×C43—21no—
731D4×C43—42no—
732D4×C43—81no—
733D4×C43—81no—
734D4×C43—81no—
735D4×C43—81no—
736D4×C43H(5,𝔽2)12yes—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—21no—
742C2×C4×C43—21no—
743C2×C4×C43—81no—
744C2×C4×C43—81no—
745C2×C4×C43—81no—
746C2×C4×C43—81no—
747C2×C4×C43—81no—
748C2×C4×C43—81no—
749C2×C4×C43C22×D411yescharacteristic
750C2×C4×C43C22×D411yescharacteristic
751C2×C4×C43C22×D411yescharacteristic
752C2×C4×C43C22×D411yescharacteristic
753C2×C4×C43C22×D411yescharacteristic
754C2×C4×C43C2511yescharacteristic
755C22⋊D43—41no—
756C22⋊D43—41no—
757C22⋊D43—42no—
758C22⋊D43—42no—
759C22⋊D43—42no—
760C22⋊D43—81no—
761C22⋊D43—81no—
762C22⋊D43—81no—
763C22⋊D43—81no—
764C22⋊D43—81no—
765C22⋊D43—81no—
766C22⋊D43—81no—
767C22⋊D43—81no—
768C22⋊D43—81no—
769C22⋊D43—81no—
770C22⋊D43—81no—
771C2×Dic43—21no—
772C2×Dic43—21no—
773C2×Dic43—21no—
774C2×Dic43—21no—
775C2×Dic43—21no—
776C2×Dic43—21no—
777C2×Dic43—42no—
778C2×Dic43—81no—
779C2×Dic43—81no—
780C2×Dic43—81no—
781C2×Dic43—81no—
782C2×Dic43—81no—
783C2×Dic43—81no—
784C2×Dic43C22×D411yescharacteristic
785C2×Dic43C22×D411yescharacteristic
786C2×Dic43C22×D411yescharacteristic
787C2×Dic43C22×D411yescharacteristic
788C2×Dic43C22×D411yescharacteristic
789C2×Dic43C22×D411yescharacteristic
790D172—21no—
791D172—21no—
792D172—21no—
793D172—21no—
794D172—41no—
795D172—81no—
796D172—81no—
797C4×D43—21no—
798C4×D43—21no—
799C4×D43—21no—
800C4×D43—21no—
801C4×D43—41no—
802C4×D43—41no—
803C4×D43—42no—
804C4×D43—81no—
805C4×D43—81no—
806C4×D43—81no—
807C4×D43—81no—
808C4×D43—81no—
809Dic86—21no—
810Dic86—21no—
811Dic86—21no—
812Dic86—21no—
813Dic86—21no—
814Dic86—21no—
815Dic86—21no—
816Dic86—21no—
817Dic86—41no—
818Dic86—81no—
819Dic86—81no—
820C8×C43—21no—
821C8×C43—21no—
822C8×C43—21no—
823C8×C43—21no—
824C43⋊C8—21no—
825C43⋊C8—21no—
826C43⋊C8—21no—
827C43⋊C8—21no—
828#62027—431nomaximal, Sylow
829C22×C43—21no—
830C22×C43—21no—
831C22×C43—22no—
832C22×C43—21no—
833C22×C43—41no—
834C22×C43—41no—
835C22×C43—41no—
836C22×C43—41no—
837C22×C43—41no—
838C22×C43—41no—
839C22×C43—41no—
840C22×C43—41no—
841C22×C43—41no—
842C22×C43—41no—
843C22×C43—41no—
844C22×C43—162no—
845C22×C43C23×D411yescharacteristic
846C2×D43—21no—
847C2×D43—21no—
848C2×D43—21no—
849C2×D43—21no—
850C2×D43—21no—
851C2×D43—21no—
852C2×D43—41no—
853C2×D43—41no—
854C2×D43—41no—
855C2×D43—41no—
856C2×D43—41no—
857C2×D43—41no—
858C2×D43—84no—
859C2×D43—162no—
860C4×C43—21no—
861C4×C43—21no—
862C4×C43—21no—
863C4×C43—21no—
864C4×C43—21no—
865C4×C43—41no—
866C4×C43—41no—
867C4×C43—41no—
868C4×C43—41no—
869C4×C43C2×H(5,𝔽2)11yescharacteristic
870C4×C43#58511yescharacteristic
871Dic43—21no—
872Dic43—21no—
873Dic43—21no—
874Dic43—21no—
875Dic43—21no—
876Dic43—21no—
877Dic43—41no—
878Dic43—41no—
879Dic43—41no—
880Dic43—41no—
881Dic43—41no—
882Dic43—41no—
883#3562—431no—
884#3513—431no—
885#3401—431no—
886#3396—431no—
887#3370—431no—
888#3360—431no—
889#3330—431no—
890#3327—431no—
891#3326—431no—
892#3317—431no—
893#3306—431no—
894#3297—431no—
895#3282—431no—
896#3274—431no—
897#3273—431no—
898#3273—431no—
899#3267—431no—
900#3265—431no—
901#3260—431no—
902#3257—431no—
903#3256—431no—
904#3225—431no—
905#3220—431no—
906#3212—431no—
907#3122D4311yescharacteristic, complemented
908#3120—431no—
909#3105—431no—
910#3045—431no—
911#3042—431no—
912#3036—431no—
913#2993—431no—
914C2×C43—42no—
915C2×C43—41no—
916C2×C43—81no—
917C2×C43—81no—
918C2×C43—81no—
919C2×C43#348811yescharacteristic
920C2×C43#358411yescharacteristic
921C2×C43#358511yescharacteristic
922D43—41no—
923D43—41no—
924D43—81no—
925D43—81no—
926C2×AGL(1,ℤ/8)—431no—
927C2×AGL(1,ℤ/8)—431no—
928C2×AGL(1,ℤ/8)—431no—
929C2×AGL(1,ℤ/8)—431no—
930C2×#135—431no—
931C22×SD16—431no—
932#562—861no—
933#560—861no—
934#559—431no—
935#559—431no—
936#556—431no—
937#554—431no—
938#553—431no—
939#553—861no—
940#553—861no—
941#552—431no—
942#551—861no—
943#551—861no—
944#551—861no—
945#550—431no—
946#548—431no—
947#548—431no—
948#547—431no—
949#547—431no—
950#546—431no—
951#546—431no—
952#546—431no—
953#546—431no—
954#546—861no—
955D42—431no—
956#542—431no—
957#541—431no—
958#540—431no—
959#540—861no—
960#540C2×D4311yescharacteristic, complemented
961#539—861no—
962#539—861no—
963#538—861no—
964#538—861no—
965#538—861no—
966#536—431no—
967#535—431no—
968#532—431no—
969#529—431no—
970#529—431no—
971#529—431no—
972#525—861no—
973C2×#123—861no—
974#520—431no—
975#518C2×D4311yescharacteristic, complemented
976C2×C4×D4—431no—
977#497—431no—
978#496—431no—
979#495—431no—
980#495—431no—
981#495—431no—
982#493—431no—
983#490—431no—
984#489—431no—
985#488—431no—
986#488—431no—
987#488—431no—
988#487—431no—
989#484—431no—
990#484—431no—
991#483—431no—
992#482C2×D4311yescharacteristic, complemented
993#482C2×D4311yescharacteristic, complemented
994#481—431no—
995#479—431no—
996#479—431no—
997#479—431no—
998#479—431no—
999#478—431no—
1000#478—431no—
1001#478C2×D4311yescharacteristic, complemented
1002#478C2×D4311yescharacteristic, complemented
1003#476—431no—
1004#474—431no—
1005#470—431no—
1006#469—431no—
1007#469—431no—
1008#468—431no—
1009#468—431no—
1010#468—431no—
1011#468—431no—
1012#468—431no—
1013#466—431no—
1014#465—431no—
1015#465—431no—
1016#465—431no—
1017#464—431no—
1018#464—431no—
1019#464—431no—
1020#463—431no—
1021#463—431no—
1022#463—431no—
1023#463—431no—
1024#463—431no—
1025#463—431no—
1026#463—431no—
1027#463—431no—
1028#463—431no—
1029#463—431no—
1030#463—431no—
1031#463—431no—
1032#463—431no—
1033#462—431no—
1034#461—431no—
1035#461—431no—
1036#461—431no—
1037#461—431no—
1038#461—431no—
1039#460—431no—
1040#460—431no—
1041#460—431no—
1042#460—431no—
1043#459—431no—
1044#459—431no—
1045#459C2×D4311yescharacteristic
1046#459C2×D4311yescharacteristic, complemented
1047#452—431no—
1048#452—431no—
1049#452—431no—
1050#452—431no—
1051#452—431no—
1052#451—431no—
1053#450—431no—
1054#449—431no—
1055#449—431no—
1056#449—431no—
1057#449—431no—
1058#449—431no—
1059#448—431no—
1060#447—431no—
1061#447—431no—
1062#447—431no—
1063#447C2×D4311yescharacteristic
1064#447C2×D4311yescharacteristic, complemented
1065#446—431no—
1066C8×Q8—431no—
1067#442C2×D4311yescharacteristic, complemented
1068#442C2×D4311yescharacteristic, complemented
1069#441—431no—
1070#440—431no—
1071C4×Q16—431no—
1072C4×SD16—431no—
1073C4×SD16—431no—
1074C4×SD16—431no—
1075C4×D8—431no—
1076C4×D8—431no—
1077C4×D8C2×D4311yescharacteristic
1078C4×D8C2×D4311yescharacteristic, complemented
1079#436—431no—
1080#436—431no—
1081#436—431no—
1082#435—431no—
1083#435—431no—
1084C8×D4—431no—
1085#433—431no—
1086#433C2×D4311yescharacteristic, complemented
1087#431—431no—
1088#424—431no—
1089#424—431no—
1090#423—431no—
1091#419—431no—
1092#417—431no—
1093#417—431no—
1094#417—431no—
1095#416—431no—
1096C2×#102—431no—
1097C43#6202711yescharacteristic, complemented, Sylow
1098C2×#41—431no—
1099C2×#41—431no—
1100C2×#41—431no—
1101C2×#41—431no—
1102C2×#41—431no—
1103C2×#41—861no—
1104C22×Q8—431no—
1105C22×D4—431no—
1106C22×D4—431no—
1107C22×D4—861no—
1108C22×D4C22×D4311yescharacteristic
1109C23×C4—861no—
1110AGL(1,ℤ/8)—1722no—
1111AGL(1,ℤ/8)—1722no—
1112AGL(1,ℤ/8)—1722no—
1113AGL(1,ℤ/8)—1722no—
1114#135—1722no—
1115C2×Q16—431no—
1116C2×Q16—431no—
1117C2×Q16—431no—
1118C2×SD16—431no—
1119C2×SD16—431no—
1120C2×SD16—431no—
1121C2×SD16—431no—
1122C2×SD16—431no—
1123C2×SD16—431no—
1124C2×SD16—431no—
1125C2×SD16—431no—
1126C2×SD16—431no—
1127C2×SD16—431no—
1128C2×SD16—431no—
1129C2×SD16—431no—
1130C2×SD16—1722no—
1131C2×D8—431no—
1132C2×D8—431no—
1133C2×D8—431no—
1134C2×D8—431no—
1135C2×D8—431no—
1136C2×D8C22×D4311yescharacteristic
1137C2×D8C22×D4311yescharacteristic
1138C2×D8C22×D4311yescharacteristic
1139C2×D8C22×D4311yescharacteristic
1140C2×M16—431no—
1141C2×M16—431no—
1142C2×M16—431no—
1143C2×M16—431no—
1144C22×C8—431no—
1145C22×C8—431no—
1146C4⋊Q8—431no—
1147C4⋊Q8—431no—
1148C4⋊Q8—431no—
1149#127—431no—
1150#127—431no—
1151#127—861no—
1152#127C22×D4311yescharacteristic
1153#126—431no—
1154#126—431no—
1155#126—861no—
1156#126—861no—
1157#126—861no—
1158#126—861no—
1159#126—861no—
1160#126—861no—
1161#126—861no—
1162#126—861no—
1163#126—861no—
1164#125—431no—
1165#125—431no—
1166#125—431no—
1167#125—861no—
1168#125—861no—
1169#125—861no—
1170#125C22×D4311yescharacteristic
1171#124—431no—
1172#124—431no—
1173#124—431no—
1174#124—431no—
1175#124—431no—
1176#124—431no—
1177#124—431no—
1178#124—431no—
1179#124—861no—
1180#124—861no—
1181#124—861no—
1182#124—861no—
1183#124—861no—
1184#123—21no—
1185#123—21no—
1186#123—431no—
1187#123—431no—
1188#123—861no—
1189#123—861no—
1190#123—861no—
1191#123—861no—
1192#123—861no—
1193#123—861no—
1194#123—861no—
1195#123—861no—
1196#123—861no—
1197#123—861no—
1198#123—861no—
1199#123—861no—
1200#123—861no—
1201#123—861no—
1202#123—861no—
1203#123—861no—
1204#123—861no—
1205#123—861no—
1206#123—861no—
1207#123—861no—
1208#123—861no—
1209C22⋊Q8—431no—
1210C22⋊Q8—431no—
1211C22⋊Q8—431no—
1212C22⋊Q8—431no—
1213C22⋊Q8—431no—
1214C22⋊Q8—431no—
1215C22⋊Q8—861no—
1216C22⋊Q8—861no—
1217C22⋊Q8—861no—
1218C22⋊Q8—861no—
1219C22⋊Q8—861no—
1220C22⋊Q8—861no—
1221C22⋊Q8—861no—
1222C22⋊Q8—861no—
1223C22⋊Q8—861no—
1224C22⋊Q8—861no—
1225#121—21no—
1226#121—21no—
1227#121—431no—
1228#121—431no—
1229#121—431no—
1230#121—431no—
1231#121—431no—
1232#121—431no—
1233#121—861no—
1234#121—861no—
1235#121—861no—
1236#121—861no—
1237#121—861no—
1238#121—861no—
1239#121—861no—
1240#121—861no—
1241#121—861no—
1242#121—861no—
1243#121—861no—
1244#121—861no—
1245#121—861no—
1246#121—861no—
1247#121—861no—
1248#121—861no—
1249#121—861no—
1250#121C22×D4311yescharacteristic
1251#121C22×D4311yescharacteristic
1252#120—861no—
1253#120—861no—
1254#120—861no—
1255#120—861no—
1256#120—861no—
1257#120—861no—
1258#120—861no—
1259#120—861no—
1260C4×Q8—431no—
1261C4×Q8—431no—
1262C4×Q8—431no—
1263C4×Q8—431no—
1264C4×Q8—431no—
1265C4×Q8—431no—
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—431no—
1269C4×D4—431no—
1270C4×D4—431no—
1271C4×D4—431no—
1272C4×D4—431no—
1273C4×D4—431no—
1274C4×D4—431no—
1275C4×D4—431no—
1276C4×D4—861no—
1277C4×D4—861no—
1278C4×D4—861no—
1279C4×D4—861no—
1280C4×D4—861no—
1281C4×D4—861no—
1282C4×D4—861no—
1283C4×D4—861no—
1284C4×D4—861no—
1285C4×D4—861no—
1286C4×D4—861no—
1287C4×D4—861no—
1288C4×D4—861no—
1289C4×D4—861no—
1290C4×D4C22×D4311yescharacteristic
1291C4×D4C22×D4311yescharacteristic
1292C4×D4C22×D4311yescharacteristic
1293C4×D4C22×D4311yescharacteristic
1294C4×D4C22×D4311yescharacteristic
1295C4×D4C22×D4311yescharacteristic
1296#117—431no—
1297#117—861no—
1298#117—861no—
1299#117—861no—
1300#117—861no—
1301#117—861no—
1302#117C22×D4311yescharacteristic
1303#117C22×D4311yescharacteristic
1304C2×C4⋊C4—431no—
1305C2×C4⋊C4—431no—
1306C2×C4⋊C4—861no—
1307C2×C4⋊C4—861no—
1308C2×C4⋊C4—861no—
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—21no—
1311C2×C22⋊C4—861no—
1312C2×C22⋊C4—861no—
1313C2×C22⋊C4—861no—
1314C2×C22⋊C4—861no—
1315C2×C22⋊C4—861no—
1316C2×C42—431no—
1317#107—431no—
1318#107—431no—
1319#107C22×D4311yescharacteristic
1320#107C22×D4311yescharacteristic
1321#106—431no—
1322#106—431no—
1323#106C22×D4311yescharacteristic
1324#106C22×D4311yescharacteristic
1325C4⋊C8—431no—
1326C4⋊C8—431no—
1327C4⋊C8—431no—
1328C4⋊C8—431no—
1329C4⋊C8—431no—
1330C4⋊C8—431no—
1331C4⋊C8—431no—
1332C4⋊C8—431no—
1333C4⋊C8C22×D4311yescharacteristic
1334C4⋊C8C22×D4311yescharacteristic
1335#103—431no—
1336#103—431no—
1337#103—431no—
1338#103—431no—
1339#103—431no—
1340#103—431no—
1341#103—431no—
1342#103—431no—
1343#103—431no—
1344#103—431no—
1345#103—431no—
1346#103—431no—
1347#103—431no—
1348#103—431no—
1349#102—431no—
1350#102—431no—
1351#102—431no—
1352#102—431no—
1353#102—431no—
1354#102—431no—
1355#102—431no—
1356#102—431no—
1357#102—431no—
1358#102—431no—
1359#102C22×D4311yescharacteristic
1360#102C22×D4311yescharacteristic
1361#102C22×D4311yescharacteristic
1362#102C22×D4311yescharacteristic
1363#102C22×D4311yescharacteristic
1364#102C22×D4311yescharacteristic
1365#102C22×D4311yescharacteristic
1366#102C22×D4311yescharacteristic
1367C22⋊C8—431no—
1368C22⋊C8—431no—
1369C22⋊C8—431no—
1370C22⋊C8—431no—
1371C22⋊C8C22×D4311yescharacteristic
1372C22⋊C8C22×D4311yescharacteristic
1373#97—431no—
1374#97C22×D4311yescharacteristic
1375C4×C8—431no—
1376C4×C8—431no—
1377C4×C8—431no—
1378C4×C8C22×D4311yescharacteristic
1379C24—21no—
1380C24—861no—
1381C24—861no—
1382#41—862no—
1383#41—3442no—
1384#41—1721no—
1385#41—1721no—
1386#41—1721no—
1387#41—1721no—
1388#41—1721no—
1389#41—1721no—
1390#41—1721no—
1391#41—1721no—
1392#41—1721no—
1393C2×Q8—431no—
1394C2×Q8—431no—
1395C2×Q8—431no—
1396C2×Q8—431no—
1397C2×Q8—431no—
1398C2×Q8—861no—
1399C2×Q8—861no—
1400C2×Q8—1721no—
1401C2×Q8—1721no—
1402C2×D4—22no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—41no—
1409C2×D4—431no—
1410C2×D4—431no—
1411C2×D4—431no—
1412C2×D4—431no—
1413C2×D4—431no—
1414C2×D4—861no—
1415C2×D4—861no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—861no—
1419C2×D4—861no—
1420C2×D4—861no—
1421C2×D4—861no—
1422C2×D4—862no—
1423C2×D4—861no—
1424C2×D4—861no—
1425C2×D4—861no—
1426C2×D4—861no—
1427C2×D4—861no—
1428C2×D4—861no—
1429C2×D4—861no—
1430C2×D4—861no—
1431C2×D4—3442no—
1432C2×D4—1721no—
1433C2×D4—1721no—
1434C2×D4—1721no—
1435C2×D4C23×D4311yescharacteristic
1436C2×D4C23×D4311yescharacteristic
1437C2×D4C23×D4311yescharacteristic
1438C2×D4C23×D4311yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—431no—
1446C22×C4—431no—
1447C22×C4—431no—
1448C22×C4—431no—
1449C22×C4—861no—
1450C22×C4—861no—
1451C22×C4—861no—
1452C22×C4—861no—
1453C22×C4—861no—
1454C22×C4—861no—
1455C22×C4—861no—
1456C22×C4—861no—
1457C22×C4—861no—
1458C22×C4—861no—
1459C22×C4—861no—
1460C22×C4—861no—
1461C22×C4—861no—
1462C22×C4—3442no—
1463C22×C4C23×D4311yescharacteristic
1464Q16—1721no—
1465Q16—1721no—
1466Q16—1721no—
1467SD16—862no—
1468SD16—862no—
1469SD16—862no—
1470SD16—1721no—
1471SD16—1721no—
1472SD16—1721no—
1473SD16—1721no—
1474SD16—1721no—
1475SD16—1721no—
1476SD16—1721no—
1477SD16—1721no—
1478SD16—1721no—
1479D8—22no—
1480D8—22no—
1481D8—41no—
1482D8—41no—
1483D8—862no—
1484D8—1721no—
1485D8—1721no—
1486D8—1721no—
1487D8—1721no—
1488M16—1721no—
1489M16—1721no—
1490M16—1721no—
1491M16—1721no—
1492C2×C8—431no—
1493C2×C8—431no—
1494C2×C8—431no—
1495C2×C8—431no—
1496C2×C8—1721no—
1497C2×C8—1721no—
1498C2×C8C23×D4311yescharacteristic
1499C2×C8C23×D4311yescharacteristic
1500C2×C8C23×D4311yescharacteristic
1501C2×C8C23×D4311yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—431no—
1505C4⋊C4—431no—
1506C4⋊C4—431no—
1507C4⋊C4—431no—
1508C4⋊C4—431no—
1509C4⋊C4—431no—
1510C4⋊C4—431no—
1511C4⋊C4—431no—
1512C4⋊C4—431no—
1513C4⋊C4—431no—
1514C4⋊C4—861no—
1515C4⋊C4—861no—
1516C4⋊C4—861no—
1517C4⋊C4—861no—
1518C4⋊C4—861no—
1519C4⋊C4—861no—
1520C4⋊C4—861no—
1521C4⋊C4—861no—
1522C4⋊C4—861no—
1523C4⋊C4—861no—
1524C4⋊C4—861no—
1525C4⋊C4—861no—
1526C4⋊C4—861no—
1527C4⋊C4—861no—
1528C4⋊C4—861no—
1529C4⋊C4—861no—
1530C4⋊C4—861no—
1531C4⋊C4—861no—
1532C4⋊C4—861no—
1533C4⋊C4—861no—
1534C4⋊C4—861no—
1535C4⋊C4D4×D4311yescharacteristic
1536C4⋊C4D4×D4311yescharacteristic
1537C4⋊C4C23×D4311yescharacteristic
1538C4⋊C4C23×D4311yescharacteristic
1539C4⋊C4C23×D4311yescharacteristic
1540C4⋊C4C23×D4311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—431no—
1551C22⋊C4—431no—
1552C22⋊C4—431no—
1553C22⋊C4—431no—
1554C22⋊C4—431no—
1555C22⋊C4—431no—
1556C22⋊C4—431no—
1557C22⋊C4—431no—
1558C22⋊C4—861no—
1559C22⋊C4—861no—
1560C22⋊C4—861no—
1561C22⋊C4—861no—
1562C22⋊C4—861no—
1563C22⋊C4—861no—
1564C22⋊C4—861no—
1565C22⋊C4—861no—
1566C22⋊C4—861no—
1567C22⋊C4—861no—
1568C22⋊C4—861no—
1569C22⋊C4—861no—
1570C22⋊C4—861no—
1571C22⋊C4—861no—
1572C22⋊C4—861no—
1573C22⋊C4—861no—
1574C22⋊C4—861no—
1575C22⋊C4—861no—
1576C22⋊C4—861no—
1577C22⋊C4—861no—
1578C22⋊C4—861no—
1579C22⋊C4—861no—
1580C22⋊C4—861no—
1581C22⋊C4—861no—
1582C22⋊C4—861no—
1583C22⋊C4—861no—
1584C22⋊C4—861no—
1585C22⋊C4—861no—
1586C22⋊C4—861no—
1587C22⋊C4D4×D4311yescharacteristic
1588C22⋊C4D4×D4311yescharacteristic
1589C42—21no—
1590C42—431no—
1591C42—431no—
1592C42—431no—
1593C42—431no—
1594C42—861no—
1595C42—861no—
1596C42—861no—
1597C42—861no—
1598C42—861no—
1599C42C23×D4311yescharacteristic
1600C42C23×D4311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—42no—
1606C23—81no—
1607C23—81no—
1608C23—431no—
1609C23—431no—
1610C23—861no—
1611C23—861no—
1612C23—3441no—
1613C23—3441no—
1614C23—3441no—
1615C23—3441no—
1616C23—1722no—
1617C23—1722no—
1618C23C2×D4×D4311yescharacteristic
1619Q8—861no—
1620Q8—861no—
1621Q8—861no—
1622Q8—861no—
1623Q8—861no—
1624Q8—861no—
1625Q8—861no—
1626Q8—861no—
1627Q8—3441no—
1628Q8—3441no—
1629Q8—1721no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—42no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—861no—
1643D4—861no—
1644D4—861no—
1645D4—861no—
1646D4—3441no—
1647D4—3441no—
1648D4—3441no—
1649D4—3441no—
1650D4—3441no—
1651D4—3441no—
1652D4—3441no—
1653D4—3441no—
1654D4—3441no—
1655D4—3441no—
1656D4—3441no—
1657D4—3441no—
1658D4—3441no—
1659D4—1721no—
1660D4—1721no—
1661D4—1721no—
1662D4—1722no—
1663D4—1722no—
1664D4—1722no—
1665D4#1306337112yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—431no—
1679C2×C4—431no—
1680C2×C4—431no—
1681C2×C4—431no—
1682C2×C4—431no—
1683C2×C4—431no—
1684C2×C4—861no—
1685C2×C4—861no—
1686C2×C4—861no—
1687C2×C4—861no—
1688C2×C4—861no—
1689C2×C4—861no—
1690C2×C4—861no—
1691C2×C4—861no—
1692C2×C4—861no—
1693C2×C4—861no—
1694C2×C4—3441no—
1695C2×C4—3441no—
1696C2×C4—3441no—
1697C2×C4—3441no—
1698C2×C4—3441no—
1699C2×C4—3441no—
1700C2×C4—3441no—
1701C2×C4—3441no—
1702C2×C4—3441no—
1703C2×C4—3441no—
1704C2×C4—3441no—
1705C2×C4—1721no—
1706C2×C4—1721no—
1707C2×C4—1722no—
1708C2×C4—1722no—
1709C2×C4C2×D4×D4311yescharacteristic
1710C2×C4C2×D4×D4311yescharacteristic
1711C2×C4C2×D4×D4311yescharacteristic
1712C2×C4C2×D4×D4311yescharacteristic
1713C2×C4C2×D4×D4311yescharacteristic
1714C2×C4C24×D4311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—861no—
1720C8—861no—
1721C8—861no—
1722C8—861no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—22no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—162no—
1739C22—861no—
1740C22—861no—
1741C22—861no—
1742C22—861no—
1743C22—861no—
1744C22—861no—
1745C22—3444no—
1746C22—1721no—
1747C22—1721no—
1748C22—1721no—
1749C22—1721no—
1750C22—1721no—
1751C22—1721no—
1752C22—6882no—
1753C22C22×D4×D4311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—861no—
1764C4—861no—
1765C4—861no—
1766C4—861no—
1767C4—861no—
1768C4—861no—
1769C4—1721no—
1770C4—1721no—
1771C4—1721no—
1772C4—1721no—
1773C4—1721no—
1774C4—1721no—
1775C4C2×#1306337111yescharacteristic
1776C4#1458373511yescharacteristic
1777C2—41no—
1778C2—42no—
1779C2—81no—
1780C2—81no—
1781C2—81no—
1782C2—3441no—
1783C2—3441no—
1784C2—1721no—
1785C2—1721no—
1786C2#1914825611yescharacteristic
1787C2#1914936311yescharacteristic
1788C2#1914937011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3122C2
socleC22×C43C23×D4
hypercenter#3122D43
hypocenterC43#62027
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3122

Complements

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

NH ≅ G/Ntype
1. #19149185C2semidirect
2. #19148523C2semidirect
3. #19147666C2semidirect
4. #19147607C2semidirect
5. #19147353C2semidirect
6. #19147242C2semidirect
7. #19146902C2semidirect
8. #19146861C2semidirect
9. #19146846C2semidirect
10. #19146719C2semidirect
11. #19146561C2semidirect
12. #19146448C2semidirect
13. #19146306C2semidirect
14. #19146213C2semidirect
15. #19146206C2semidirect
16. #19146205C2semidirect
17. #19146122C2semidirect
18. #19146094C2semidirect
19. #19146043C2semidirect
20. #19146000C2semidirect
21. #19145995C2semidirect
22. #19145706C2semidirect
23. #19145644C2semidirect
24. #19145569C2semidirect
25. #19144814C2semidirect
26. #19144647C2semidirect
27. #19144129C2semidirect
28. #19144107C2semidirect
29. #19144054C2semidirect
30. #19143738C2semidirect
31. C43×#3122C2semidirect
35. C2×#13063349C22semidirect
37. C22×#10621883C22semidirect
40. #14583632C22semidirect
41. #14583632C22semidirect
42. #14583619C22semidirect
43. #14583606C22semidirect
47. #14583588C22semidirect
53. #14583555C22semidirect
55. #14583553C22semidirect
56. #14583546C22semidirect
58. #14583544C22semidirect
61. D4×C22⋊D43C22semidirect
62. #14583520C22semidirect
63. #14583512C22semidirect
71. #14583475C22semidirect
72. #14583462C22semidirect
73. #14583447C22semidirect
74. #14583434C22semidirect
75. #14583431C22semidirect
80. C4×D4×D43C22semidirect
81. #14583293C22semidirect
83. #14583283C22semidirect
84. #14583282C22semidirect
85. #14583282C22semidirect
87. #14583262C22semidirect
88. #14583259C22semidirect
89. #14583252C22semidirect
90. #14583252C22semidirect
91. #14583252C22semidirect
92. #14583250C22semidirect
93. #14583236C22semidirect
94. #14583236C22semidirect
95. #14583231C22semidirect
96. #14583219C22semidirect
97. #14583209C22semidirect
98. #14583205C22semidirect
99. #14583205C22semidirect
100. #14583203C22semidirect
101. #14583198C22semidirect
102. #14583196C22semidirect
103. #14583189C22semidirect
104. #14583179C22semidirect
105. #14583158C22semidirect
107. #14583150C22semidirect
108. #14583146C22semidirect
109. #14583146C22semidirect
110. #14583144C22semidirect
111. #14583144C22semidirect
112. #14583143C22semidirect
114. #14583129C22semidirect
115. #14583127C22semidirect
116. #14583126C22semidirect
117. #14583122C22semidirect
118. #14583120C22semidirect
119. #14583120C22semidirect
120. #14583115C22semidirect
123. #14583114C22semidirect
124. #14583114C22semidirect
125. #14583114C22semidirect
126. #14583114C22semidirect
127. #14583113C22semidirect
128. #14583113C22semidirect
129. #14583113C22semidirect
132. #14583112C22semidirect
133. #14583110C22semidirect
134. #14583105C22semidirect
135. #14583104C22semidirect
136. #14583104C22semidirect
137. #14583104C22semidirect
138. #14583104C22semidirect
139. #14583098C22semidirect
140. #14583098C22semidirect
141. #14583098C22semidirect
142. #14583096C22semidirect
144. #14583091C22semidirect
145. #14583063C22semidirect
148. #14583062C22semidirect
149. #14583062C22semidirect
150. #14583057C22semidirect
151. #14583051C22semidirect
153. #14583045C22semidirect
155. #14583041C22semidirect
156. #14583041C22semidirect
157. #14583040C22semidirect
159. #14583034C22semidirect
160. #14583031C22semidirect
161. #14583027C22semidirect
162. C8×Dic86C22semidirect
163. #14583005C22semidirect
164. #14582996C22semidirect
165. #14582993C22semidirect
166. #14582990C22semidirect
167. #14582990C22semidirect
168. #14582986C22semidirect
169. #14582981C22semidirect
171. #14582978C22semidirect
172. #14582974C22semidirect
173. #14582974C22semidirect
174. #14582972C22semidirect
175. #14582967C22semidirect
176. (C22⋊D43)⋊C8C22semidirect
177. #14582959C22semidirect
178. #14582951C22semidirect
179. #14582926C22semidirect
180. #14582924C22semidirect
181. #14582921C22semidirect
182. #14582907C22semidirect
183. #14582897C22semidirect
184. #14582897C22semidirect
185. #14582897C22semidirect
186. #14582893C22semidirect
187. #102×D43C22semidirect
188. C43×#540C22semidirect
189. C43×#518C22semidirect
190. C43×#482C22semidirect
191. C43×#482C22semidirect
192. C43×#478C22semidirect
193. C43×#478C22semidirect
195. C43×#459C22semidirect
197. C43×#447C22semidirect
198. C43×#442C22semidirect
199. C43×#442C22semidirect
201. C4×D8×C43C22semidirect
202. C43×#433C22semidirect
907. #3122D43semidirect
960. #540C2×D43semidirect
975. #518C2×D43semidirect
992. #482C2×D43semidirect
993. #482C2×D43semidirect
1001. #478C2×D43semidirect
1002. #478C2×D43semidirect
1046. #459C2×D43semidirect
1064. #447C2×D43semidirect
1067. #442C2×D43semidirect
1068. #442C2×D43semidirect
1078. C4×D8C2×D43semidirect
1086. #433C2×D43semidirect
1097. C43#62027semidirect

Maximal subgroups

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

subgroupindex
#191491852
#191485232
#191476662
#191476072
#191473532
#191472422
#191469022
#191468612
#191468462
#191467192
#191465612
#191464482
#191463062
#191462132
#191462062
#191462052
#191461222
#191460942
#191460432
#191460002
#191459952
#191457062
#191456442
#191455692
#191448142
#191446472
#191441292
#191441072
#191440542
#191437382
C43×#31222
#6202743