Finite Group Databasebeta

← #25990368

Subgroups — #25990368

Order 11008.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148963C211yesmaximal, characteristic, complemented
2#19148703C211yesmaximal, characteristic, complemented
3#19147666C211yesmaximal, characteristic, complemented
4#19147640C211yesmaximal, characteristic, complemented
5#19147440C211yesmaximal, characteristic, complemented
6#19147321C211yesmaximal, characteristic, complemented
7#19146752C211yesmaximal, characteristic, complemented
8#19146724C211yesmaximal, characteristic, complemented
9#19146565C211yesmaximal, characteristic, complemented
10#19146543C211yesmaximal, characteristic, complemented
11#19146426C211yesmaximal, characteristic, complemented
12#19146352C211yesmaximal, characteristic, complemented
13#19146306C211yesmaximal, characteristic, complemented
14#19146187C211yesmaximal, characteristic, complemented
15#19146155C211yesmaximal, characteristic, complemented
16#19146133C211yesmaximal, characteristic, complemented
17#19146086C211yesmaximal, characteristic, complemented
18#19146050C211yesmaximal, characteristic, complemented
19#19146007C211yesmaximal, characteristic, complemented
20#19145920C211yesmaximal, characteristic, complemented
21#19145685C211yesmaximal, characteristic, complemented
22#19145641C211yesmaximal, characteristic, complemented
23#19145633C211yesmaximal, characteristic, complemented
24#19144875C211yesmaximal, characteristic, complemented
25#19144819C211yesmaximal, characteristic, complemented
26#19144742C211yesmaximal, characteristic, complemented
27#19144139C211yesmaximal, characteristic, complemented
28#19144115C211yesmaximal, characteristic, complemented
29#19144043C211yesmaximal, characteristic, complemented
30#19143730C211yesmaximal, characteristic, complemented
31C43×#3318C211yesmaximal, characteristic, complemented
32C2×#13063358C2211yescharacteristic, complemented
33C2×#13063351C2211yescharacteristic
34C2×#13063347C2211yescharacteristic, complemented
35C2×#13063344C2211yescharacteristic, complemented
36C2×#13063344C2211yescharacteristic, complemented
37C22×#10621883C2211yescharacteristic
38#14583638—21no—
39#14583638—21no—
40#14583632—21no—
41#14583632C2211yescharacteristic, complemented
42#14583626C2211yescharacteristic, complemented
43#14583619C2211yescharacteristic
44#14583613—21no—
45#14583612C2211yescharacteristic, complemented
46#14583596—21no—
47#14583594—21no—
48#14583585—21no—
49#14583584C2211yescharacteristic, complemented
50#14583569C2211yescharacteristic
51#14583567C2211yescharacteristic
52#14583567C2211yescharacteristic
53#14583567C2211yescharacteristic, complemented
54#14583558C2211yescharacteristic
55#14583555C2211yescharacteristic, complemented
56#14583554C2211yescharacteristic
57#14583543—21no—
58#14583543C2211yescharacteristic
59#14583543C2211yescharacteristic
60#14583516C2211yescharacteristic
61#14583516C2211yescharacteristic
62#14583516C2211yescharacteristic, complemented
63#14583515—21no—
64#14583502C2211yescharacteristic, complemented
65#14583499—21no—
66#14583484—21no—
67#14583484—21no—
68#14583478—21no—
69#14583466—21no—
70#14583466C2211yescharacteristic
71#14583466C2211yescharacteristic
72#14583447C2211yescharacteristic
73#14583446C2211yescharacteristic
74#14583434C2211yescharacteristic, complemented
75#14583431C2211yescharacteristic
76#14583429—21no—
77#14583426—21no—
78#14583380C2211yescharacteristic, complemented
79#14583376C2211yescharacteristic, complemented
80C4×#10621900C2211yescharacteristic, complemented
81#14583293C2211yescharacteristic, complemented
82#14583287C2211yescharacteristic
83#14583287C2211yescharacteristic, complemented
84#14583286C2211yescharacteristic
85#14583282C2211yescharacteristic
86#14583274C2211yescharacteristic, complemented
87#14583269C2211yescharacteristic, complemented
88#14583262C2211yescharacteristic, complemented
89#14583257C2211yescharacteristic
90#14583252C2211yescharacteristic
91#14583244C2211yescharacteristic, complemented
92#14583240C2211yescharacteristic, complemented
93#14583229C2211yescharacteristic, complemented
94#14583225C2211yescharacteristic, complemented
95#14583221C2211yescharacteristic
96#14583209C2211yescharacteristic, complemented
97#14583197C2211yescharacteristic, complemented
98#14583196C2211yescharacteristic, complemented
99#14583193C2211yescharacteristic, complemented
100#14583193C2211yescharacteristic, complemented
101#14583188C2211yescharacteristic, complemented
102#14583183C2211yescharacteristic, complemented
103#14583177C2211yescharacteristic, complemented
104#14583177C2211yescharacteristic, complemented
105#14583145C2211yescharacteristic, complemented
106#14583143C2211yescharacteristic
107#14583143C2211yescharacteristic, complemented
108#14583140C2211yescharacteristic, complemented
109#14583136C2211yescharacteristic, complemented
110#14583134C2211yescharacteristic
111#14583133C2211yescharacteristic
112#14583129C2211yescharacteristic, complemented
113#14583127C2211yescharacteristic
114#14583126C2211yescharacteristic, complemented
115#14583120C2211yescharacteristic
116#14583120C2211yescharacteristic
117#14583120C2211yescharacteristic
118#14583120C2211yescharacteristic, complemented
119#14583120C2211yescharacteristic, complemented
120#14583120C2211yescharacteristic, complemented
121#14583120C2211yescharacteristic, complemented
122#14583120C2211yescharacteristic, complemented
123#14583115C2211yescharacteristic, complemented
124#14583114C2211yescharacteristic
125#14583113C2211yescharacteristic
126#14583113C2211yescharacteristic, complemented
127#14583113C2211yescharacteristic, complemented
128#14583112C2211yescharacteristic, complemented
129#14583112C2211yescharacteristic, complemented
130#14583112C2211yescharacteristic, complemented
131#14583110C2211yescharacteristic, complemented
132#14583104C2211yescharacteristic, complemented
133#14583098C2211yescharacteristic
134#14583098C2211yescharacteristic
135#14583098C2211yescharacteristic, complemented
136#14583098C2211yescharacteristic, complemented
137#14583098C2211yescharacteristic, complemented
138#14583098C2211yescharacteristic, complemented
139#14583096C2211yescharacteristic
140#14583093C2211yescharacteristic
141#14583093C2211yescharacteristic, complemented
142#14583092C2211yescharacteristic
143#14583092C2211yescharacteristic, complemented
144#14583063C2211yescharacteristic, complemented
145#14583063C2211yescharacteristic, complemented
146#14583062C2211yescharacteristic, complemented
147#14583062C2211yescharacteristic, complemented
148#14583057C2211yescharacteristic, complemented
149#14583050C2211yescharacteristic
150#14583046C2211yescharacteristic, complemented
151#14583045C2211yescharacteristic, complemented
152#14583045C2211yescharacteristic, complemented
153#14583045C2211yescharacteristic, complemented
154#14583042C2211yescharacteristic
155#14583042C2211yescharacteristic, complemented
156#14583042C2211yescharacteristic, complemented
157#14583041C2211yescharacteristic
158#14583037C2211yescharacteristic
159#14583033C2211yescharacteristic
160#14583028C2211yescharacteristic, complemented
161#14583027C2211yescharacteristic, complemented
162#14583009C2211yescharacteristic, complemented
163#14583008C2211yescharacteristic, complemented
164#14583005C2211yescharacteristic, complemented
165#14583005C2211yescharacteristic, complemented
166#14583001C2211yescharacteristic, complemented
167#14582999C2211yescharacteristic
168#14582996C2211yescharacteristic, complemented
169#14582993C2211yescharacteristic, complemented
170#14582990C2211yescharacteristic, complemented
171#14582990C2211yescharacteristic, complemented
172#14582986C2211yescharacteristic, complemented
173#14582973C2211yescharacteristic, complemented
174#14582971C2211yescharacteristic
175#14582968C2211yescharacteristic, complemented
176C8×C22⋊D43C2211yescharacteristic, complemented
177(C22⋊D43)⋊C8C2211yescharacteristic, complemented
178#14582957C2211yescharacteristic, complemented
179#14582957C2211yescharacteristic, complemented
180#14582954C2211yescharacteristic, complemented
181#14582927C2211yescharacteristic, complemented
182#14582925C2211yescharacteristic, complemented
183C4⋊C8×D43C2211yescharacteristic, complemented
184#14582898C2211yescharacteristic, complemented
185#14582893C2211yescharacteristic, complemented
186#14582892C2211yescharacteristic, complemented
187#14582892C2211yescharacteristic, complemented
188C43×#553C2211yescharacteristic
189D42×C43C2211yescharacteristic
190C43×#490C2211yescharacteristic
191C43×#482C2211yescharacteristic
192C43×#481C2211yescharacteristic
193C43×#478C2211yescharacteristic
194C43×#469C2211yescharacteristic
195C43×#466C2211yescharacteristic
196C43×#459C2211yescharacteristic
197C43×#447C2211yescharacteristic
198C43×#447C2211yescharacteristic
199C43×#442C2211yescharacteristic
200C43×#435C2211yescharacteristic
201C43×#418C2211yescharacteristic
202C2×#102×C43C2211yescharacteristic
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621898C2311yescharacteristic
206C2×#10621898C2311yescharacteristic
207C2×#10621900—21no—
208C2×#10621900C2311yescharacteristic
209C2×#10621900C2311yescharacteristic
210C2×#10621900C2311yescharacteristic
211C22×Dic86C2311yescharacteristic
212#13063358—42no—
213#13063351—42no—
214#13063347—42no—
215#13063344—42no—
216#13063344—42no—
217C2×Dic172C2311yescharacteristic
218C2×Dic172C2311yescharacteristic
219C2×Dic172C2311yescharacteristic
220C2×Dic172C2311yescharacteristic
221C2×#10621873C2311yescharacteristic
222C2×#10621873C2311yescharacteristic
223C2×#10621873C2311yescharacteristic
224C2×#10621873C2311yescharacteristic
225C2×#10621883—42no—
226C2×#10621883C2311yescharacteristic
227C2×#10621883C2311yescharacteristic
228C2×#10621883C2311yescharacteristic
229C2×#10621883C2311yescharacteristic
230C2×#10621883C2311yescharacteristic
231C2×#10621883C2311yescharacteristic
232C2×#10621883C2311yescharacteristic
233C2×#10621883C2311yescharacteristic
234C2×D344C2311yescharacteristic
235C2×#10621882C2311yescharacteristic
236C2×#10621882C2311yescharacteristic
237C2×#10621882C2311yescharacteristic
238C2×#10621882C2311yescharacteristic
239C2×#10621877C2311yescharacteristic
240C22×C43⋊C8C2311yescharacteristic
241C2×C8×D43C2311yescharacteristic
242C2×C8×D43C2311yescharacteristic
243#13063325C2311yescharacteristic
244#13063324—21no—
245#13063324C2311yescharacteristic
246#13063324C2311yescharacteristic
247#13063321—21no—
248#13063321—21no—
249#13063321—21no—
250#13063321C2311yescharacteristic
251#13063321C2311yescharacteristic
252#13063321C2311yescharacteristic
253#13063321C2311yescharacteristic
254#13063320—21no—
255#13063320—21no—
256#13063318—21no—
257#13063318—21no—
258#13063318—21no—
259#13063318—21no—
260#13063318—21no—
261#13063318D411yescharacteristic
262#13063318D411yescharacteristic
263#13063316D411yescharacteristic
264#13063316C2311yescharacteristic
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063313—21no—
269#13063313C2311yescharacteristic
270#13063312—21no—
271#13063312—21no—
272#13063312—21no—
273#13063312D411yescharacteristic
274#13063312C2311yescharacteristic
275#13063312C2311yescharacteristic
276#13063312C2311yescharacteristic
277#13063312C2311yescharacteristic
278#13063312C2311yescharacteristic
279#13063311—21no—
280#13063311—21no—
281#13063311—21no—
282#13063311—21no—
283#13063311—21no—
284#13063310—21no—
285#13063309—21no—
286#13063308—21no—
287#13063308—21no—
288#13063307—21no—
289#13063307—21no—
290#13063307—21no—
291#13063307—21no—
292#13063307D411yescharacteristic
293#13063307D411yescharacteristic
294#13063306—21no—
295#13063306—21no—
296#13063306—21no—
297#13063306—21no—
298#13063306—21no—
299#13063305D411yescharacteristic
300#13063305C2311yescharacteristic
301#13063304—21no—
302#13063304C2311yescharacteristic
303#13063304C2311yescharacteristic
304#13063304C2311yescharacteristic
305#13063303—21no—
306#13063302—21no—
307#13063302—21no—
308#13063302—21no—
309#13063302—21no—
310#13063300C2311yescharacteristic
311#13063300C2311yescharacteristic
312#13063299C2311yescharacteristic
313#13063298—21no—
314#13063298—21no—
315#13063298—21no—
316#13063298—21no—
317#13063298—21no—
318#13063297—21no—
319#13063297—21no—
320#13063297—21no—
321#13063297—21no—
322#13063297—21no—
323#13063297—21no—
324#13063297—21no—
325#13063297—21no—
326#13063297—21no—
327#13063297—21no—
328#13063296—21no—
329#13063296—21no—
330#13063296—21no—
331#13063296—21no—
332#13063296—21no—
333#13063296—21no—
334#13063296—21no—
335#13063296—21no—
336#13063296—21no—
337#13063296D411yescharacteristic
338#13063296C2311yescharacteristic
339#13063294—21no—
340#13063294—21no—
341#13063294—21no—
342#13063294—21no—
343#13063294—21no—
344#13063294—21no—
345C4×Dic86—21no—
346C4×Dic86—21no—
347C4×Dic86C2311yescharacteristic
348C4×Dic86C2311yescharacteristic
349#13063290—21no—
350#13063290C2311yescharacteristic
351#13063290C2311yescharacteristic
352#13063290C2311yescharacteristic
353#13063290C2311yescharacteristic
354#13063290C2311yescharacteristic
355#13063290C2311yescharacteristic
356#13063290C2311yescharacteristic
357C4×D172C2311yescharacteristic
358D4×Dic43—21no—
359D4×Dic43—21no—
360D4×Dic43—21no—
361D4×Dic43C2311yescharacteristic
362D4×Dic43C2311yescharacteristic
363D4×Dic43C2311yescharacteristic
364#13063287—21no—
365#13063287C2311yescharacteristic
366#13063287C2311yescharacteristic
367C4×C22⋊D43—21no—
368C4×C22⋊D43—21no—
369C4×C22⋊D43—21no—
370C4×C22⋊D43—21no—
371C4×C22⋊D43—21no—
372C4×C22⋊D43C2311yescharacteristic
373C4×C22⋊D43C2311yescharacteristic
374(C22⋊D43)⋊C4—21no—
375(C22⋊D43)⋊C4—21no—
376(C22⋊D43)⋊C4—21no—
377(C22⋊D43)⋊C4—21no—
378(C22⋊D43)⋊C4—21no—
379#13063284—21no—
380#13063284—21no—
381#13063284C2311yescharacteristic
382#13063284C2311yescharacteristic
383#13063283—21no—
384#13063283—21no—
385#13063283C2311yescharacteristic
386#13063282—21no—
387#13063281—21no—
388#13063281—21no—
389#13063281—21no—
390C4⋊C4×D43—21no—
391C4⋊C4×D43—21no—
392C2×C22⋊Dic43—21no—
393C2×C22⋊Dic43—21no—
394C2×C4×Dic43—21no—
395C42×D43C2311yescharacteristic
396#13063259C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401C4⋊(C43⋊C8)C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405Dic43⋊C8C2311yescharacteristic
406Dic43⋊C8C2311yescharacteristic
407Dic43⋊C8C2311yescharacteristic
408Dic43⋊C8C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063245C2311yescharacteristic
429#13063245C2311yescharacteristic
430#13063245C2311yescharacteristic
431#13063245C2311yescharacteristic
432C22⋊(C43⋊C8)C2311yescharacteristic
433C22⋊(C43⋊C8)C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435(C2×D43)⋊C8C2311yescharacteristic
436#13063236C2311yescharacteristic
437#13063235C2311yescharacteristic
438#13063235C2311yescharacteristic
439C8×Dic43C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C22×D4×C43—21no—
442C22×D4×C43C2311yescharacteristic
443C22×D4×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445C2×D8×C43C2311yescharacteristic
446C2×D8×C43C2311yescharacteristic
447C2×M16×C43C2311yescharacteristic
448C22×C8×C43C2311yescharacteristic
449#127×C43C2311yescharacteristic
450#126×C43—21no—
451#125×C43C2311yescharacteristic
452#123×C43—21no—
453#121×C43—21no—
454#121×C43—21no—
455#121×C43C2311yescharacteristic
456#121×C43C2311yescharacteristic
457#121×C43C2311yescharacteristic
458#121×C43C2311yescharacteristic
459#120×C43—21no—
460#120×C43—21no—
461C4×D4×C43—21no—
462C4×D4×C43C2311yescharacteristic
463C4×D4×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465#117×C43C2311yescharacteristic
466C2×C4⋊C4×C43C2311yescharacteristic
467#107×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470C4⋊C8×C43C2311yescharacteristic
471#102×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
480#102×C43C2311yescharacteristic
481C22⋊C8×C43C2311yescharacteristic
482C22⋊C8×C43C2311yescharacteristic
483#97×C43C2311yescharacteristic
484C24×C43—21no—
485C24×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—41no—
495C2×D4×C43—41no—
496C2×D4×C43—41no—
497C2×D4×C43—41no—
498C2×D4×C43—82no—
499C2×D4×C43C2×D411yescharacteristic
500C2×D4×C43C2411yescharacteristic
501C2×D4×C43C2411yescharacteristic
502C2×D4×C43C2411yescharacteristic
503C2×D4×C43C2411yescharacteristic
504C22×C4×C43—21no—
505C22×C4×C43—21no—
506C22×C4×C43—21no—
507C22×C4×C43C2411yescharacteristic
508C22×C4×C43C2411yescharacteristic
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—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43C2×D411yescharacteristic
526C2×C22⋊D43C2×D411yescharacteristic
527C22×Dic43—21no—
528C22×Dic43—21no—
529C22×Dic43—21no—
530C22×Dic43—21no—
531C22×Dic43—21no—
532C22×Dic43—21no—
533C22×Dic43—21no—
534#10621900—22no—
535#10621900—41no—
536#10621900—41no—
537#10621900—41no—
538#10621900—41no—
539#10621900—41no—
540#10621900—82no—
541#10621898—22no—
542#10621898—41no—
543#10621898—41no—
544#10621898—41no—
545#10621898—41no—
546#10621898—41no—
547#10621898—82no—
548C2×D172—21no—
549C2×D172—21no—
550C2×D172C2411yescharacteristic
551C2×D172C2411yescharacteristic
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43C2×D411yescharacteristic
559C2×C4×D43C2×D411yescharacteristic
560C2×C4×D43C2411yescharacteristic
561C2×Dic86—22no—
562C2×Dic86—21no—
563C2×Dic86—21no—
564C2×Dic86—21no—
565C2×Dic86—41no—
566C2×Dic86C2×D411yescharacteristic
567C2×Dic86C2411yescharacteristic
568C2×Dic86C2411yescharacteristic
569C2×Dic86C2411yescharacteristic
570C2×Dic86C2411yescharacteristic
571D8×C43—41no—
572D8×C43—41no—
573D8×C43—41no—
574M16×C43—41no—
575C2×C8×C43—41no—
576C2×C8×C43C2411yescharacteristic
577C2×C8×C43C2411yescharacteristic
578C2×C8×C43C2411yescharacteristic
579C2×C8×C43C2411yescharacteristic
580C4⋊C4×C43—21no—
581C4⋊C4×C43—21no—
582C4⋊C4×C43—21no—
583C4⋊C4×C43C2×D411yescharacteristic
584C4⋊C4×C43C2411yescharacteristic
585C4⋊C4×C43C2411yescharacteristic
586C4⋊C4×C43C2411yescharacteristic
587C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
595C22⋊C4×C43C2×D411yescharacteristic
596C22⋊C4×C43C2×D411yescharacteristic
597C42×C43—21no—
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⋊Dic43—21no—
613C22⋊Dic43—21no—
614C22⋊Dic43—21no—
615C22⋊Dic43—21no—
616C22⋊Dic43C2×D411yescharacteristic
617C22⋊Dic43C2×D411yescharacteristic
618C22⋊Dic43C2×D411yescharacteristic
619C22⋊Dic43C2×D411yescharacteristic
620C22⋊Dic43C2×D411yescharacteristic
621C22⋊Dic43C2×D411yescharacteristic
622#10621883—22no—
623#10621883—22no—
624#10621883—22no—
625#10621883—41no—
626#10621883—41no—
627#10621883—41no—
628#10621883—41no—
629#10621883—41no—
630#10621882—41no—
631#10621882—41no—
632#10621882—41no—
633#10621882—41no—
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)⋊C4—21no—
643(C2×D43)⋊C4—21no—
644(C2×D43)⋊C4C2×D411yescharacteristic
645(C2×D43)⋊C4C2×D411yescharacteristic
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43—21no—
649C4⋊Dic43—21no—
650C4⋊Dic43C2×D411yescharacteristic
651C4⋊Dic43C2×D411yescharacteristic
652C4⋊Dic43C2×D411yescharacteristic
653C4⋊Dic43C2×D411yescharacteristic
654C4⋊Dic43C2×D411yescharacteristic
655C4⋊Dic43C2411yescharacteristic
656C4⋊Dic43C2411yescharacteristic
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
672Dic43⋊C4C2×D411yescharacteristic
673Dic43⋊C4C2×D411yescharacteristic
674Dic43⋊C4C2×D411yescharacteristic
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678C4×Dic43—21no—
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
688C4×Dic43C2411yescharacteristic
689#10621877—41no—
690C2×C43⋊C8—41no—
691C2×C43⋊C8C2411yescharacteristic
692C2×C43⋊C8C2411yescharacteristic
693C2×C43⋊C8C2411yescharacteristic
694C2×C43⋊C8C2411yescharacteristic
695Dic172—22no—
696Dic172—22no—
697Dic172—41no—
698Dic172—41no—
699D344—41no—
700#10621873—22no—
701#10621873—41no—
702#10621873—41no—
703#10621873—41no—
704C8×D43—41no—
705C8×D43—41no—
706C23×C43—21no—
707C23×C43—21no—
708C23×C43—21no—
709C23×C43—21no—
710C23×C43—81no—
711C23×C43—81no—
712C23×C43—81no—
713C23×C43—81no—
714C23×C43—81no—
715C23×C43—81no—
716C23×C43C22×D411yescharacteristic
717C23×C43C22×D411yescharacteristic
718C22×D43—21no—
719C22×D43—21no—
720C22×D43C22×D411yescharacteristic
721D4×C43—21no—
722D4×C43—21no—
723D4×C43—21no—
724D4×C43—21no—
725D4×C43—21no—
726D4×C43—21no—
727D4×C43—21no—
728D4×C43—21no—
729D4×C43—41no—
730D4×C43—42no—
731D4×C43—81no—
732D4×C43—81no—
733D4×C43—81no—
734D4×C43—81no—
735D4×C43—81no—
736D4×C43—81no—
737D4×C43—81no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—21no—
742C2×C4×C43—21no—
743C2×C4×C43—21no—
744C2×C4×C43—21no—
745C2×C4×C43—21no—
746C2×C4×C43—42no—
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×C43C2511yescharacteristic
754C22⋊D43—41no—
755C22⋊D43—41no—
756C22⋊D43—42no—
757C22⋊D43—42no—
758C22⋊D43—81no—
759C22⋊D43—81no—
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—
771C22⋊D43—81no—
772C2×Dic43—21no—
773C2×Dic43—21no—
774C2×Dic43—21no—
775C2×Dic43—21no—
776C2×Dic43—21no—
777C2×Dic43—21no—
778C2×Dic43—42no—
779C2×Dic43—42no—
780C2×Dic43—81no—
781C2×Dic43—81no—
782C2×Dic43—81no—
783C2×Dic43—81no—
784C2×Dic43—81no—
785C2×Dic43C22×D411yescharacteristic
786C2×Dic43C22×D411yescharacteristic
787C2×Dic43C22×D411yescharacteristic
788C2×Dic43C22×D411yescharacteristic
789C2×Dic43C22×D411yescharacteristic
790C2×Dic43C22×D411yescharacteristic
791C2×Dic43C22×D411yescharacteristic
792D172—21no—
793D172—21no—
794D172—21no—
795D172—21no—
796D172—81no—
797D172—81no—
798C4×D43—21no—
799C4×D43—21no—
800C4×D43—41no—
801C4×D43—41no—
802C4×D43—42no—
803C4×D43—42no—
804C4×D43—81no—
805C4×D43—81no—
806C4×D43—81no—
807C4×D43—81no—
808Dic86—21no—
809Dic86—21no—
810Dic86—21no—
811Dic86—21no—
812Dic86—21no—
813Dic86—21no—
814Dic86—21no—
815Dic86—41no—
816Dic86—42no—
817Dic86—81no—
818Dic86—81no—
819Dic86H(5,𝔽2)12yes—
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#62026—431nomaximal, Sylow
829C22×C43—21no—
830C22×C43—21no—
831C22×C43—21no—
832C22×C43—21no—
833C22×C43—21no—
834C22×C43—21no—
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—41no—
845C22×C43—41no—
846C22×C43—41no—
847C22×C43—162no—
848C22×C43—162no—
849C22×C43C23×D411yescharacteristic
850C2×D43—21no—
851C2×D43—21no—
852C2×D43—21no—
853C2×D43—41no—
854C2×D43—41no—
855C2×D43—41no—
856C2×D43—41no—
857C2×D43—41no—
858C2×D43—41no—
859C4×C43—21no—
860C4×C43—21no—
861C4×C43—21no—
862C4×C43—21no—
863C4×C43—41no—
864C4×C43—41no—
865C4×C43—41no—
866C4×C43—41no—
867C4×C43C2×H(5,𝔽2)11yescharacteristic
868C4×C43#58511yescharacteristic
869Dic43—21no—
870Dic43—21no—
871Dic43—21no—
872Dic43—21no—
873Dic43—21no—
874Dic43—21no—
875Dic43—22no—
876Dic43—21no—
877Dic43—41no—
878Dic43—41no—
879Dic43—41no—
880Dic43—41no—
881Dic43—41no—
882#3546—431no—
883#3524—431no—
884#3401—431no—
885#3399—431no—
886#3377—431no—
887#3368—431no—
888#3319—431no—
889#3318D4311yescharacteristic, complemented
890#3317—431no—
891#3307—431no—
892#3305—431no—
893#3296—431no—
894#3287—431no—
895#3282—431no—
896#3271—431no—
897#3269—431no—
898#3268—431no—
899#3265—431no—
900#3262—431no—
901#3257—431no—
902#3247—431no—
903#3224—431no—
904#3220—431no—
905#3219—431no—
906#3125—431no—
907#3121—431no—
908#3115—431no—
909#3045—431no—
910#3043—431no—
911#3035—431no—
912#2992—431no—
913C2×C43—41no—
914C2×C43—41no—
915C2×C43—81no—
916C2×C43—81no—
917C2×C43—81no—
918C2×C43—81no—
919C2×C43#348811yescharacteristic
920C2×C43#358411yescharacteristic
921C2×C43#358511yescharacteristic
922D43—41no—
923D43—81no—
924D43—81no—
925C2×#137—431no—
926C2×AGL(1,ℤ/8)—431no—
927C2×#135—431no—
928C2×#135—431no—
929C2×#135—431no—
930C22×SD16—431no—
931#560—861no—
932#560—861no—
933#559—431no—
934#559—861no—
935#557—431no—
936#556—431no—
937#555—431no—
938#555—861no—
939#553—861no—
940#553—861no—
941#553C2×D4311yescharacteristic
942#552—431no—
943#552—861no—
944#550—431no—
945#550—431no—
946#550—431no—
947#550—431no—
948#548—431no—
949#548—431no—
950#547—431no—
951#546—431no—
952#546—431no—
953#546—861no—
954D42C2×D4311yescharacteristic
955#542—431no—
956#542—431no—
957#542—431no—
958#542—861no—
959#540—431no—
960#540—861no—
961#538—861no—
962#538—861no—
963#537—861no—
964#535—431no—
965#535—431no—
966#535—861no—
967#532—431no—
968#532—431no—
969#529—431no—
970#529—431no—
971#529—861no—
972#529—861no—
973#520—431no—
974#519—431no—
975C4×#41—431no—
976#497—431no—
977#496—431no—
978#496—431no—
979#496—431no—
980#495—431no—
981#493—431no—
982#491—431no—
983#490—431no—
984#490C2×D4311yescharacteristic
985#489—431no—
986#488—431no—
987#486—431no—
988#485—431no—
989#483—431no—
990#482—431no—
991#482—431no—
992#482C2×D4311yescharacteristic
993#481C2×D4311yescharacteristic
994#479—431no—
995#478—431no—
996#478—431no—
997#478C2×D4311yescharacteristic
998#477—431no—
999#477—431no—
1000#476—431no—
1001#475—431no—
1002#474—431no—
1003#474—431no—
1004#469C2×D4311yescharacteristic
1005#468—431no—
1006#468—431no—
1007#468—431no—
1008#467—431no—
1009#466—431no—
1010#466—431no—
1011#466—431no—
1012#466C2×D4311yescharacteristic
1013#465—431no—
1014#465—431no—
1015#465—431no—
1016#464—431no—
1017#464—431no—
1018#464—431no—
1019#464—431no—
1020#464—431no—
1021#464—431no—
1022#464—431no—
1023#464—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#462—431no—
1033#461—431no—
1034#460—431no—
1035#460—431no—
1036#460—431no—
1037#460—431no—
1038#460—431no—
1039#460—431no—
1040#460—431no—
1041#459—431no—
1042#459—431no—
1043#459—431no—
1044#459—431no—
1045#459C2×D4311yescharacteristic
1046#452—431no—
1047#452—431no—
1048#452—431no—
1049#452—431no—
1050#451—431no—
1051#450—431no—
1052#449—431no—
1053#449—431no—
1054#449—431no—
1055#449—431no—
1056#449—431no—
1057#449—431no—
1058#449—431no—
1059#449—431no—
1060#448—431no—
1061#447—431no—
1062#447C2×D4311yescharacteristic
1063#447C2×D4311yescharacteristic
1064#446—431no—
1065#446—431no—
1066#442—431no—
1067#442—431no—
1068#442C2×D4311yescharacteristic
1069#441—431no—
1070#441—431no—
1071#440—431no—
1072#440—431no—
1073#440—431no—
1074C4×Q16—431no—
1075C4×SD16—431no—
1076C4×SD16—431no—
1077C4×SD16—431no—
1078#435—431no—
1079#435—431no—
1080#435—431no—
1081#435C2×D4311yescharacteristic
1082C8×D4—431no—
1083C8×D4—431no—
1084#433—431no—
1085#433—431no—
1086#432—431no—
1087#424—431no—
1088#424—431no—
1089C2×C4⋊C8—431no—
1090#418C2×D4311yescharacteristic
1091#417—431no—
1092#416—431no—
1093#416—431no—
1094#416—431no—
1095C2×#102C2×D4311yescharacteristic
1096C43#6202611yescharacteristic, complemented, Sylow
1097C2×#41—431no—
1098C2×#41—431no—
1099C2×#41—431no—
1100C2×#41—431no—
1101C2×#41—431no—
1102C2×#41—431no—
1103C2×#41—861no—
1104C2×#41—861no—
1105C22×Q8—431no—
1106C22×D4—21no—
1107C22×D4C22×D4311yescharacteristic
1108C22×D4C22×D4311yescharacteristic
1109#137—1722no—
1110AGL(1,ℤ/8)—1722no—
1111#135—1722no—
1112#135—1722no—
1113#135—1722no—
1114C2×Q16—431no—
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×M16—431no—
1140C2×M16C22×D4311yescharacteristic
1141C22×C8—431no—
1142C22×C8—431no—
1143C22×C8—431no—
1144C22×C8C22×D4311yescharacteristic
1145C4⋊Q8—431no—
1146C4⋊Q8—431no—
1147C4⋊Q8—431no—
1148C4⋊Q8—861no—
1149#127—431no—
1150#127—431no—
1151#127—431no—
1152#127—431no—
1153#127—861no—
1154#127—861no—
1155#127—861no—
1156#127C22×D4311yescharacteristic
1157#126—21no—
1158#126—431no—
1159#126—431no—
1160#126—861no—
1161#126—861no—
1162#126—861no—
1163#126—861no—
1164#126—861no—
1165#126—861no—
1166#126—861no—
1167#125—431no—
1168#125—431no—
1169#125—861no—
1170#125—861no—
1171#125—861no—
1172#125C22×D4311yescharacteristic
1173#124—431no—
1174#124—431no—
1175#124—431no—
1176#124—431no—
1177#124—431no—
1178#124—431no—
1179#124—431no—
1180#124—861no—
1181#124—861no—
1182#124—861no—
1183#124—861no—
1184#124—861no—
1185#124—861no—
1186#124—861no—
1187#124—861no—
1188#124—861no—
1189#123—21no—
1190#123—431no—
1191#123—431no—
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—
1205C22⋊Q8—431no—
1206C22⋊Q8—431no—
1207C22⋊Q8—431no—
1208C22⋊Q8—431no—
1209C22⋊Q8—431no—
1210C22⋊Q8—861no—
1211C22⋊Q8—861no—
1212C22⋊Q8—861no—
1213C22⋊Q8—861no—
1214C22⋊Q8—861no—
1215C22⋊Q8—861no—
1216#121—21no—
1217#121—21no—
1218#121—431no—
1219#121—431no—
1220#121—431no—
1221#121—431no—
1222#121—431no—
1223#121—861no—
1224#121—861no—
1225#121—861no—
1226#121—861no—
1227#121—861no—
1228#121—861no—
1229#121—861no—
1230#121—861no—
1231#121—861no—
1232#121—861no—
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#121C22×D4311yescharacteristic
1248#121C22×D4311yescharacteristic
1249#121C22×D4311yescharacteristic
1250#121C22×D4311yescharacteristic
1251#120—21no—
1252#120—21no—
1253#120—861no—
1254#120—861no—
1255#120—861no—
1256#120—861no—
1257#120—861no—
1258#120—861no—
1259C4×Q8—431no—
1260C4×Q8—431no—
1261C4×Q8—431no—
1262C4×Q8—431no—
1263C4×Q8—431no—
1264C4×Q8—431no—
1265C4×Q8—431no—
1266C4×Q8—431no—
1267C4×Q8—431no—
1268C4×Q8—861no—
1269C4×Q8—861no—
1270C4×Q8—861no—
1271C4×D4—21no—
1272C4×D4—431no—
1273C4×D4—431no—
1274C4×D4—431no—
1275C4×D4—431no—
1276C4×D4—431no—
1277C4×D4—431no—
1278C4×D4—431no—
1279C4×D4—431no—
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×D4—861no—
1291C4×D4—861no—
1292C4×D4—861no—
1293C4×D4—861no—
1294C4×D4C22×D4311yescharacteristic
1295C4×D4C22×D4311yescharacteristic
1296C4×D4C22×D4311yescharacteristic
1297#117—431no—
1298#117—431no—
1299#117—431no—
1300#117—861no—
1301#117—861no—
1302#117—861no—
1303#117—861no—
1304#117—861no—
1305#117—861no—
1306#117—861no—
1307#117—861no—
1308#117C22×D4311yescharacteristic
1309C2×C4⋊C4—861no—
1310C2×C4⋊C4—861no—
1311C2×C4⋊C4C22×D4311yescharacteristic
1312C2×C22⋊C4—861no—
1313C2×C22⋊C4—861no—
1314C2×C42—431no—
1315C2×C42—861no—
1316#107—431no—
1317#107—431no—
1318#107—431no—
1319#107C22×D4311yescharacteristic
1320#106—431no—
1321#106—431no—
1322#106C22×D4311yescharacteristic
1323#106C22×D4311yescharacteristic
1324C4⋊C8—431no—
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
1334#103—431no—
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#102—431no—
1347#102—431no—
1348#102—431no—
1349#102—431no—
1350#102—431no—
1351#102—431no—
1352#102—431no—
1353#102—431no—
1354#102—431no—
1355#102—431no—
1356#102C22×D4311yescharacteristic
1357#102C22×D4311yescharacteristic
1358#102C22×D4311yescharacteristic
1359#102C22×D4311yescharacteristic
1360#102C22×D4311yescharacteristic
1361#102C22×D4311yescharacteristic
1362#102C22×D4311yescharacteristic
1363#102C22×D4311yescharacteristic
1364#102C22×D4311yescharacteristic
1365#102C22×D4311yescharacteristic
1366C22⋊C8—431no—
1367C22⋊C8—431no—
1368C22⋊C8—431no—
1369C22⋊C8—431no—
1370C22⋊C8C22×D4311yescharacteristic
1371C22⋊C8C22×D4311yescharacteristic
1372#97—431no—
1373#97—431no—
1374#97—431no—
1375#97C22×D4311yescharacteristic
1376C4×C8—431no—
1377C4×C8—431no—
1378C24—21no—
1379C24—21no—
1380#41—862no—
1381#41—862no—
1382#41—3442no—
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—
1393#41—1721no—
1394C2×Q8—431no—
1395C2×Q8—431no—
1396C2×Q8—431no—
1397C2×Q8—431no—
1398C2×Q8—431no—
1399C2×Q8—861no—
1400C2×Q8—861no—
1401C2×Q8—862no—
1402C2×Q8—861no—
1403C2×Q8—1721no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—41no—
1416C2×D4—82no—
1417C2×D4—431no—
1418C2×D4—431no—
1419C2×D4—431no—
1420C2×D4—431no—
1421C2×D4—861no—
1422C2×D4—861no—
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—861no—
1432C2×D4—861no—
1433C2×D4—861no—
1434C2×D4—861no—
1435C2×D4—861no—
1436C2×D4—861no—
1437C2×D4—861no—
1438C2×D4—861no—
1439C2×D4D4×D4311yescharacteristic
1440C2×D4C23×D4311yescharacteristic
1441C2×D4C23×D4311yescharacteristic
1442C2×D4C23×D4311yescharacteristic
1443C2×D4C23×D4311yescharacteristic
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—431no—
1448C22×C4—431no—
1449C22×C4—431no—
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—861no—
1463C22×C4C23×D4311yescharacteristic
1464C22×C4C23×D4311yescharacteristic
1465Q16—862no—
1466Q16—862no—
1467Q16—1721no—
1468Q16—1721no—
1469SD16—862no—
1470SD16—862no—
1471SD16—862no—
1472SD16—862no—
1473SD16—1721no—
1474SD16—1721no—
1475SD16—1721no—
1476SD16—1721no—
1477SD16—1721no—
1478SD16—1721no—
1479SD16—1721no—
1480SD16—1721no—
1481D8—41no—
1482D8—41no—
1483D8—41no—
1484D8—1721no—
1485D8—1721no—
1486D8—1721no—
1487D8—1721no—
1488D8—1721no—
1489M16—41no—
1490M16—1721no—
1491C2×C8—41no—
1492C2×C8—431no—
1493C2×C8—431no—
1494C2×C8—431no—
1495C2×C8—431no—
1496C2×C8—1721no—
1497C2×C8—1721no—
1498C2×C8—1721no—
1499C2×C8C23×D4311yescharacteristic
1500C2×C8C23×D4311yescharacteristic
1501C2×C8C23×D4311yescharacteristic
1502C2×C8C23×D4311yescharacteristic
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
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—431no—
1515C4⋊C4—431no—
1516C4⋊C4—431no—
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⋊C4C23×D4311yescharacteristic
1537C4⋊C4C23×D4311yescharacteristic
1538C4⋊C4C23×D4311yescharacteristic
1539C4⋊C4C23×D4311yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—431no—
1548C22⋊C4—431no—
1549C22⋊C4—431no—
1550C22⋊C4—431no—
1551C22⋊C4—431no—
1552C22⋊C4—431no—
1553C22⋊C4—431no—
1554C22⋊C4—431no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1583C22⋊C4D4×D4311yescharacteristic
1584C42—21no—
1585C42—431no—
1586C42—431no—
1587C42—431no—
1588C42—431no—
1589C42—431no—
1590C42—861no—
1591C42—861no—
1592C42—861no—
1593C42—861no—
1594C42—861no—
1595C42—861no—
1596C42—861no—
1597C42—861no—
1598C42—861no—
1599C42C23×D4311yescharacteristic
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—81no—
1605C23—81no—
1606C23—81no—
1607C23—81no—
1608C23—81no—
1609C23—81no—
1610C23—431no—
1611C23—861no—
1612C23—861no—
1613C23C2×D4×D4311yescharacteristic
1614C23C2×D4×D4311yescharacteristic
1615Q8—432no—
1616Q8—861no—
1617Q8—861no—
1618Q8—861no—
1619Q8—861no—
1620Q8—861no—
1621Q8—861no—
1622Q8—861no—
1623Q8—3441no—
1624Q8—3441no—
1625Q8—1721no—
1626Q8—1722no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—41no—
1636D4—42no—
1637D4—81no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—861no—
1645D4—861no—
1646D4—861no—
1647D4—861no—
1648D4—3441no—
1649D4—3441no—
1650D4—3441no—
1651D4—3441no—
1652D4—3441no—
1653D4—3441no—
1654D4—3441no—
1655D4—3441no—
1656D4—3441no—
1657D4—3441no—
1658D4—3441no—
1659D4—3441no—
1660D4—3441no—
1661D4—3441no—
1662D4—3441no—
1663D4—3441no—
1664D4—1721no—
1665D4—1721no—
1666D4—1722no—
1667D4—1722no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—42no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—431no—
1680C2×C4—431no—
1681C2×C4—431no—
1682C2×C4—431no—
1683C2×C4—431no—
1684C2×C4—431no—
1685C2×C4—431no—
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—1721no—
1704C2×C4—1721no—
1705C2×C4—1722no—
1706C2×C4—1722no—
1707C2×C4—1722no—
1708C2×C4—1722no—
1709C2×C4C2×D4×D4311yescharacteristic
1710C2×C4C2×D4×D4311yescharacteristic
1711C2×C4C2×D4×D4311yescharacteristic
1712C2×C4C2×D4×D4311yescharacteristic
1713C2×C4C24×D4311yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—861no—
1719C8—861no—
1720C8—861no—
1721C8—861no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—162no—
1741C22—162no—
1742C22—861no—
1743C22—861no—
1744C22—861no—
1745C22—1721no—
1746C22—1721no—
1747C22—1721no—
1748C22—1721no—
1749C22—1721no—
1750C22—1721no—
1751C22C22×D4×D4311yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—861no—
1761C4—861no—
1762C4—861no—
1763C4—861no—
1764C4—861no—
1765C4—861no—
1766C4—861no—
1767C4—862no—
1768C4—1721no—
1769C4—1721no—
1770C4—1721no—
1771C4—1721no—
1772C4—1721no—
1773C4H(5,𝔽2)×D4311yescharacteristic
1774C4#1458373511yescharacteristic
1775C2—41no—
1776C2—41no—
1777C2—81no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—3441no—
1782C2—3441no—
1783C2—1721no—
1784C2#1914825811yescharacteristic
1785C2#1914936311yescharacteristic
1786C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3318C2
socleC22×C43C23×D4
hypercenter#3318D43
hypocenterC43#62026
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #19148963C2semidirect
2. #19148703C2semidirect
3. #19147666C2semidirect
4. #19147640C2semidirect
5. #19147440C2semidirect
6. #19147321C2semidirect
7. #19146752C2semidirect
8. #19146724C2semidirect
9. #19146565C2semidirect
10. #19146543C2semidirect
11. #19146426C2semidirect
12. #19146352C2semidirect
13. #19146306C2semidirect
14. #19146187C2semidirect
15. #19146155C2semidirect
16. #19146133C2semidirect
17. #19146086C2semidirect
18. #19146050C2semidirect
19. #19146007C2semidirect
20. #19145920C2semidirect
21. #19145685C2semidirect
22. #19145641C2semidirect
23. #19145633C2semidirect
24. #19144875C2semidirect
25. #19144819C2semidirect
26. #19144742C2semidirect
27. #19144139C2semidirect
28. #19144115C2semidirect
29. #19144043C2semidirect
30. #19143730C2semidirect
31. C43×#3318C2semidirect
32. C2×#13063358C22semidirect
34. C2×#13063347C22semidirect
35. C2×#13063344C22semidirect
36. C2×#13063344C22semidirect
41. #14583632C22semidirect
42. #14583626C22semidirect
45. #14583612C22semidirect
49. #14583584C22semidirect
53. #14583567C22semidirect
55. #14583555C22semidirect
62. #14583516C22semidirect
64. #14583502C22semidirect
74. #14583434C22semidirect
78. #14583380C22semidirect
79. #14583376C22semidirect
80. C4×#10621900C22semidirect
81. #14583293C22semidirect
83. #14583287C22semidirect
86. #14583274C22semidirect
87. #14583269C22semidirect
88. #14583262C22semidirect
91. #14583244C22semidirect
92. #14583240C22semidirect
93. #14583229C22semidirect
94. #14583225C22semidirect
96. #14583209C22semidirect
97. #14583197C22semidirect
98. #14583196C22semidirect
99. #14583193C22semidirect
100. #14583193C22semidirect
101. #14583188C22semidirect
102. #14583183C22semidirect
103. #14583177C22semidirect
104. #14583177C22semidirect
105. #14583145C22semidirect
107. #14583143C22semidirect
108. #14583140C22semidirect
109. #14583136C22semidirect
112. #14583129C22semidirect
114. #14583126C22semidirect
118. #14583120C22semidirect
119. #14583120C22semidirect
120. #14583120C22semidirect
121. #14583120C22semidirect
122. #14583120C22semidirect
123. #14583115C22semidirect
126. #14583113C22semidirect
127. #14583113C22semidirect
128. #14583112C22semidirect
129. #14583112C22semidirect
130. #14583112C22semidirect
131. #14583110C22semidirect
132. #14583104C22semidirect
135. #14583098C22semidirect
136. #14583098C22semidirect
137. #14583098C22semidirect
138. #14583098C22semidirect
141. #14583093C22semidirect
143. #14583092C22semidirect
144. #14583063C22semidirect
145. #14583063C22semidirect
146. #14583062C22semidirect
147. #14583062C22semidirect
148. #14583057C22semidirect
150. #14583046C22semidirect
151. #14583045C22semidirect
152. #14583045C22semidirect
153. #14583045C22semidirect
155. #14583042C22semidirect
156. #14583042C22semidirect
160. #14583028C22semidirect
161. #14583027C22semidirect
162. #14583009C22semidirect
163. #14583008C22semidirect
164. #14583005C22semidirect
165. #14583005C22semidirect
166. #14583001C22semidirect
168. #14582996C22semidirect
169. #14582993C22semidirect
170. #14582990C22semidirect
171. #14582990C22semidirect
172. #14582986C22semidirect
173. #14582973C22semidirect
175. #14582968C22semidirect
176. C8×C22⋊D43C22semidirect
177. (C22⋊D43)⋊C8C22semidirect
178. #14582957C22semidirect
179. #14582957C22semidirect
180. #14582954C22semidirect
181. #14582927C22semidirect
182. #14582925C22semidirect
183. C4⋊C8×D43C22semidirect
184. #14582898C22semidirect
185. #14582893C22semidirect
186. #14582892C22semidirect
187. #14582892C22semidirect
889. #3318D43semidirect
1096. C43#62026semidirect

Maximal subgroups

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

subgroupindex
#191489632
#191487032
#191476662
#191476402
#191474402
#191473212
#191467522
#191467242
#191465652
#191465432
#191464262
#191463522
#191463062
#191461872
#191461552
#191461332
#191460862
#191460502
#191460072
#191459202
#191456852
#191456412
#191456332
#191448752
#191448192
#191447422
#191441392
#191441152
#191440432
#191437302
C43×#33182
#6202643