Finite Group Databasebeta

← #25983469

Subgroups — #25983469

Order 11008.

2102 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148976C211yesmaximal, characteristic, complemented
2#19148351C211yesmaximal, characteristic, complemented
3#19146757C211yesmaximal, characteristic, complemented
4#19146744C211yesmaximal, characteristic, complemented
5#19146696C211yesmaximal, characteristic, complemented
6#19146693C211yesmaximal, characteristic, complemented
7#19146680C211yesmaximal, characteristic, complemented
8#19146671C211yesmaximal, characteristic, complemented
9#19146623C211yesmaximal, characteristic, complemented
10#19146616C211yesmaximal, characteristic, complemented
11#19146156C211yesmaximal, characteristic, complemented
12#19146151C211yesmaximal, characteristic, complemented
13#19146114C211yesmaximal, characteristic, complemented
14#19146113C211yesmaximal, characteristic, complemented
15#19146108C211yesmaximal, characteristic, complemented
16#19146105C211yesmaximal, characteristic, complemented
17#19146089C211yesmaximal, characteristic, complemented
18#19145627C211yesmaximal, characteristic, complemented
19#19145604C211yesmaximal, characteristic, complemented
20#19145494C211yesmaximal, characteristic, complemented
21#19145491C211yesmaximal, characteristic, complemented
22#19145473C211yesmaximal, characteristic, complemented
23#19145472C211yesmaximal, characteristic, complemented
24#19144732C211yesmaximal, characteristic, complemented
25#19144692C211yesmaximal, characteristic, complemented
26#19143898C211yesmaximal, characteristic, complemented
27#19143894C211yesmaximal, characteristic, complemented
28#19143868C211yesmaximal, characteristic, complemented
29#19143867C211yesmaximal, characteristic, complemented
30#19143663C211yesmaximal, characteristic, complemented
31C43×#3265C211yesmaximal, characteristic, complemented
32C2×#13063370C2211yescharacteristic
33C2×#13063370C2211yescharacteristic
34C2×#13063356C2211yescharacteristic, complemented
35C2×#13063354C2211yescharacteristic, complemented
36C2×#13063349C2211yescharacteristic, complemented
37C2×#13063345C2211yescharacteristic, complemented
38C2×#13063344C2211yescharacteristic, complemented
39C2×SD16×D43C2211yescharacteristic, complemented
40#14583645—21no—
41#14583644—21no—
42#14583613C2211yescharacteristic, complemented
43#14583611—21no—
44#14583607C2211yescharacteristic, complemented
45#14583598—21no—
46#14583590C2211yescharacteristic, complemented
47#14583589C2211yescharacteristic, complemented
48Q8×C22⋊D43C2211yescharacteristic, complemented
49#14583557C2211yescharacteristic, complemented
50#14583554C2211yescharacteristic
51#14583553C2211yescharacteristic
52#14583549—21no—
53#14583548C2211yescharacteristic, complemented
54#14583546C2211yescharacteristic
55#14583546C2211yescharacteristic
56#14583543C2211yescharacteristic
57#14583543C2211yescharacteristic
58#14583536—21no—
59#14583536—21no—
60#14583534C2211yescharacteristic
61D4×C22⋊D43—21no—
62#14583528—21no—
63#14583514—21no—
64#14583513—21no—
65#14583499—21no—
66#14583478C2211yescharacteristic
67#14583478C2211yescharacteristic
68#14583478C2211yescharacteristic, complemented
69#14583477C2211yescharacteristic, complemented
70#14583473C2211yescharacteristic, complemented
71#14583472C2211yescharacteristic, complemented
72#14583459—21no—
73#14583459—21no—
74#14583453C2211yescharacteristic, complemented
75#14583447C2211yescharacteristic
76#14583446C2211yescharacteristic
77#14583428C2211yescharacteristic, complemented
78C2×#13063296—21no—
79#121×D43—21no—
80C4×D4×D43C2211yescharacteristic
81#14583294C2211yescharacteristic, complemented
82#14583290C2211yescharacteristic, complemented
83#14583290C2211yescharacteristic, complemented
84#14583268C2211yescharacteristic, complemented
85#14583263C2211yescharacteristic, complemented
86#14583257C2211yescharacteristic, complemented
87#14583257C2211yescharacteristic, complemented
88#14583242C2211yescharacteristic, complemented
89#14583241C2211yescharacteristic, complemented
90#14583236C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic, complemented
92#14583235C2211yescharacteristic, complemented
93#14583233C2211yescharacteristic, complemented
94#14583228C2211yescharacteristic, complemented
95#14583222C2211yescharacteristic, complemented
96#14583220C2211yescharacteristic, complemented
97#14583211C2211yescharacteristic, complemented
98#14583211C2211yescharacteristic, complemented
99#14583210C2211yescharacteristic, complemented
100#14583200C2211yescharacteristic, complemented
101#14583199C2211yescharacteristic, complemented
102#14583178C2211yescharacteristic, complemented
103#14583177C2211yescharacteristic, complemented
104#14583157C2211yescharacteristic, complemented
105#14583156C2211yescharacteristic, complemented
106#14583144C2211yescharacteristic, complemented
107#14583143C2211yescharacteristic, complemented
108#14583143C2211yescharacteristic, complemented
109#14583142C2211yescharacteristic, complemented
110#14583142C2211yescharacteristic, complemented
111#14583140C2211yescharacteristic, complemented
112#14583139C2211yescharacteristic, complemented
113#14583139C2211yescharacteristic, complemented
114#14583138C2211yescharacteristic, complemented
115#14583132C2211yescharacteristic, complemented
116#14583126C2211yescharacteristic, complemented
117#14583125C2211yescharacteristic, complemented
118#14583119C2211yescharacteristic, complemented
119#14583119C2211yescharacteristic, complemented
120#14583112C2211yescharacteristic, complemented
121#14583112C2211yescharacteristic, complemented
122#14583111C2211yescharacteristic, complemented
123#14583110C2211yescharacteristic, complemented
124#14583109C2211yescharacteristic, complemented
125#14583103C2211yescharacteristic, complemented
126#14583102C2211yescharacteristic, complemented
127#14583096C2211yescharacteristic, complemented
128#14583063C2211yescharacteristic, complemented
129#14583063C2211yescharacteristic, complemented
130#14583062C2211yescharacteristic, complemented
131#14583062C2211yescharacteristic, complemented
132#14583062C2211yescharacteristic, complemented
133#14583061C2211yescharacteristic, complemented
134#14583059C2211yescharacteristic, complemented
135#14583058C2211yescharacteristic, complemented
136#14583058C2211yescharacteristic, complemented
137#14583058C2211yescharacteristic, complemented
138#14583058C2211yescharacteristic, complemented
139#14583058C2211yescharacteristic, complemented
140#14583058C2211yescharacteristic, complemented
141#14583058C2211yescharacteristic, complemented
142#14583056C2211yescharacteristic, complemented
143#14583055C2211yescharacteristic, complemented
144#14583051C2211yescharacteristic
145#14583050C2211yescharacteristic, complemented
146#14583050C2211yescharacteristic, complemented
147#14583048C2211yescharacteristic
148#14583048C2211yescharacteristic
149#14583048C2211yescharacteristic, complemented
150#14583048C2211yescharacteristic, complemented
151#14583048C2211yescharacteristic, complemented
152#14583042C2211yescharacteristic, complemented
153#14583041C2211yescharacteristic, complemented
154#14583041C2211yescharacteristic, complemented
155#14583041C2211yescharacteristic, complemented
156#14583041C2211yescharacteristic, complemented
157#14583036C2211yescharacteristic, complemented
158#14583031C2211yescharacteristic
159#14583031C2211yescharacteristic, complemented
160#14583011C2211yescharacteristic, complemented
161#14583008C2211yescharacteristic, complemented
162#14583002C2211yescharacteristic, complemented
163#14583001C2211yescharacteristic, complemented
164#14583000C2211yescharacteristic, complemented
165#14582999C2211yescharacteristic, complemented
166#14582997C2211yescharacteristic, complemented
167#14582973C2211yescharacteristic, complemented
168#14582972C2211yescharacteristic, complemented
169#14582971C2211yescharacteristic, complemented
170#14582970C2211yescharacteristic, complemented
171#14582969C2211yescharacteristic, complemented
172#14582968C2211yescharacteristic, complemented
173#14582967C2211yescharacteristic, complemented
174#14582955C2211yescharacteristic, complemented
175#14582954C2211yescharacteristic, complemented
176#14582904C2211yescharacteristic, complemented
177#14582902C2211yescharacteristic, complemented
178#14582901C2211yescharacteristic, complemented
179#14582897C2211yescharacteristic, complemented
180#14582896C2211yescharacteristic, complemented
181#14582892C2211yescharacteristic, complemented
182C2×#13063246C2211yescharacteristic, complemented
183#102×D43C2211yescharacteristic, complemented
184#14582867C2211yescharacteristic, complemented
185#14582865C2211yescharacteristic, complemented
186#14582864C2211yescharacteristic, complemented
187#14582864C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C43C2211yescharacteristic, complemented
189C22×SD16×C43C2211yescharacteristic, complemented
190C43×#548C2211yescharacteristic, complemented
191D42×C43C2211yescharacteristic
192C43×#496C2211yescharacteristic, complemented
193C43×#468C2211yescharacteristic, complemented
194C43×#466C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic, complemented
196C43×#460C2211yescharacteristic, complemented
197C43×#450C2211yescharacteristic, complemented
198C43×#449C2211yescharacteristic, complemented
199C43×#448C2211yescharacteristic, complemented
200C43×#447C2211yescharacteristic, complemented
201C43×#440C2211yescharacteristic, complemented
202C43×#435C2211yescharacteristic, complemented
203#13063370—42no—
204#13063370—42no—
205#13063370—42no—
206#13063370—42no—
207C2×#10621898C2311yescharacteristic
208C2×#10621898C2311yescharacteristic
209C2×#10621898C2311yescharacteristic
210C2×#10621898C2311yescharacteristic
211C2×#10621900—21no—
212C2×#10621900—21no—
213C2×#10621900C2311yescharacteristic
214C2×#10621900C2311yescharacteristic
215C2×#10621900C2311yescharacteristic
216C2×#10621900C2311yescharacteristic
217C2×#10621900C2311yescharacteristic
218C2×Q8×D43C2311yescharacteristic
219C22×C22⋊D43—21no—
220C22×C22⋊D43—21no—
221C22×C22⋊D43—21no—
222C22×C22⋊D43—21no—
223C2×D4×D43—21no—
224C2×D4×D43—21no—
225C2×D4×D43—21no—
226C2×D4×D43C2311yescharacteristic
227C2×D4×D43C2311yescharacteristic
228C2×D4×D43C2311yescharacteristic
229C22×C4×D43—21no—
230#13063356—42no—
231#13063354—42no—
232#13063349—42no—
233#13063345—42no—
234#13063344—42no—
235C2×Dic172C2311yescharacteristic
236C2×Dic172C2311yescharacteristic
237C2×#10621885C2311yescharacteristic
238C2×#10621885C2311yescharacteristic
239C2×#10621885C2311yescharacteristic
240C2×#10621885C2311yescharacteristic
241C2×#10621873C2311yescharacteristic
242C2×#10621883C2311yescharacteristic
243C2×#10621883C2311yescharacteristic
244C2×#10621883C2311yescharacteristic
245C2×#10621883C2311yescharacteristic
246C2×#10621883C2311yescharacteristic
247C2×#10621884C2311yescharacteristic
248C2×#10621884C2311yescharacteristic
249SD16×D43—42no—
250C2×#10621882C2311yescharacteristic
251C2×#10621877C2311yescharacteristic
252C2×#10621872C2311yescharacteristic
253C2×#10621872C2311yescharacteristic
254C22×C43⋊C8C2311yescharacteristic
255C2×C8×D43C2311yescharacteristic
256C2×C8×D43C2311yescharacteristic
257#13063325C2311yescharacteristic
258#13063324—21no—
259#13063324D411yescharacteristic
260#13063324C2311yescharacteristic
261#13063323—21no—
262#13063323—21no—
263#13063323C2311yescharacteristic
264#13063321D411yescharacteristic
265#13063319—21no—
266#13063318—21no—
267#13063318—21no—
268#13063317C2311yescharacteristic
269#13063315—21no—
270#13063315—21no—
271#13063315—21no—
272#13063315—21no—
273#13063314—21no—
274#13063312—21no—
275#13063312C2311yescharacteristic
276#13063312C2311yescharacteristic
277#13063311—21no—
278#13063311—21no—
279#13063311—21no—
280#13063311D411yescharacteristic
281#13063311D411yescharacteristic
282#13063310—21no—
283#13063310—21no—
284#13063309—21no—
285#13063309—21no—
286#13063308—21no—
287#13063308—21no—
288#13063308—21no—
289#13063307—21no—
290#13063307—21no—
291#13063307—21no—
292#13063307—21no—
293#13063307—21no—
294#13063307—21no—
295#13063306—21no—
296#13063306—21no—
297#13063306—21no—
298#13063306—21no—
299#13063305—21no—
300#13063305C2311yescharacteristic
301#13063305C2311yescharacteristic
302#13063305C2311yescharacteristic
303#13063304—21no—
304#13063304—21no—
305#13063304C2311yescharacteristic
306#13063304C2311yescharacteristic
307#13063304C2311yescharacteristic
308#13063304C2311yescharacteristic
309#13063303—21no—
310#13063302—21no—
311#13063302—21no—
312#13063302—21no—
313#13063302—21no—
314#13063302—21no—
315#13063301—21no—
316#13063301C2311yescharacteristic
317#13063301C2311yescharacteristic
318#13063301C2311yescharacteristic
319#13063301C2311yescharacteristic
320#13063301C2311yescharacteristic
321#13063300D411yescharacteristic
322#13063299—21no—
323#13063299—21no—
324#13063298—21no—
325#13063298—21no—
326#13063298—21no—
327#13063298—21no—
328#13063298D411yescharacteristic
329#13063298D411yescharacteristic
330#13063297—21no—
331#13063297—21no—
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#13063296—21no—
343#13063296—21no—
344#13063296—21no—
345#13063296—21no—
346#13063296—21no—
347#13063296—21no—
348#13063296D411yescharacteristic
349#13063296C2311yescharacteristic
350#13063296C2311yescharacteristic
351#13063296C2311yescharacteristic
352#13063296C2311yescharacteristic
353#13063294—21no—
354#13063294—21no—
355#13063293—21no—
356#13063293—21no—
357#13063293—21no—
358#13063293—21no—
359Q8×Dic43C2311yescharacteristic
360C4×Dic86—21no—
361C4×Dic86C2311yescharacteristic
362C4×D172C2311yescharacteristic
363C4×D172C2311yescharacteristic
364D4×Dic43—21no—
365D4×Dic43—21no—
366D4×Dic43C2311yescharacteristic
367D4×Dic43C2311yescharacteristic
368#13063287C2311yescharacteristic
369C4×C22⋊D43—21no—
370C4×C22⋊D43—21no—
371C4×C22⋊D43C2311yescharacteristic
372C4×C22⋊D43C2311yescharacteristic
373(C22⋊D43)⋊C4—21no—
374(C22⋊D43)⋊C4—21no—
375(C22⋊D43)⋊C4—21no—
376(C22⋊D43)⋊C4—21no—
377#13063284C2311yescharacteristic
378#13063283C2311yescharacteristic
379#13063282—21no—
380#13063282—21no—
381#13063281—21no—
382#13063281—21no—
383#13063281—21no—
384C2×C4⋊Dic43—21no—
385C2×C4⋊Dic43C2311yescharacteristic
386C2×Dic43⋊C4—21no—
387C4⋊C4×D43—21no—
388C4⋊C4×D43C2311yescharacteristic
389C4⋊C4×D43C2311yescharacteristic
390C2×C22⋊Dic43—21no—
391C2×C22⋊Dic43—21no—
392C22⋊C4×D43—21no—
393C22⋊C4×D43—21no—
394C22⋊C4×D43—21no—
395C42×D43C2311yescharacteristic
396#13063259C2311yescharacteristic
397#13063259C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063258C2311yescharacteristic
400#13063258C2311yescharacteristic
401#13063257C2311yescharacteristic
402#13063256C2311yescharacteristic
403C4⋊(C43⋊C8)C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405Dic43⋊C8C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063245C2311yescharacteristic
432C22⋊(C43⋊C8)C2311yescharacteristic
433C22⋊(C43⋊C8)C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435(C2×D43)⋊C8C2311yescharacteristic
436(C2×D43)⋊C8C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441(C2×D43)⋊C8C2311yescharacteristic
442#13063236C2311yescharacteristic
443#13063235C2311yescharacteristic
444#13063235C2311yescharacteristic
445C2×#41×C43C2311yescharacteristic
446C22×Q8×C43C2311yescharacteristic
447C22×D4×C43—21no—
448C22×D4×C43C2311yescharacteristic
449C22×D4×C43C2311yescharacteristic
450AGL(1,ℤ/8)×C43—42no—
451C2×SD16×C43—42no—
452C2×SD16×C43C2311yescharacteristic
453C2×SD16×C43C2311yescharacteristic
454C2×SD16×C43C2311yescharacteristic
455C2×SD16×C43C2311yescharacteristic
456C2×SD16×C43C2311yescharacteristic
457C2×SD16×C43C2311yescharacteristic
458C2×D8×C43C2311yescharacteristic
459C2×D8×C43C2311yescharacteristic
460C2×D8×C43C2311yescharacteristic
461C2×M16×C43C2311yescharacteristic
462C22×C8×C43C2311yescharacteristic
463#127×C43C2311yescharacteristic
464#124×C43—21no—
465#124×C43C2311yescharacteristic
466C22⋊Q8×C43—21no—
467C22⋊Q8×C43C2311yescharacteristic
468#121×C43—21no—
469#121×C43—21no—
470#121×C43C2311yescharacteristic
471#121×C43C2311yescharacteristic
472#121×C43C2311yescharacteristic
473#120×C43—21no—
474#120×C43—21no—
475C4×Q8×C43C2311yescharacteristic
476C4×D4×C43—21no—
477C4×D4×C43C2311yescharacteristic
478C4×D4×C43C2311yescharacteristic
479#107×C43C2311yescharacteristic
480C4⋊C8×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#103×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486#102×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C22⋊C8×C43C2311yescharacteristic
489#97×C43C2311yescharacteristic
490C24×C43—21no—
491C24×C43—21no—
492C23×D43—21no—
493C23×D43—21no—
494C23×D43—21no—
495#41×C43—41no—
496#41×C43—41no—
497C2×Q8×C43—21no—
498C2×Q8×C43—41no—
499C2×Q8×C43—41no—
500C2×Q8×C43C2411yescharacteristic
501C2×Q8×C43C2411yescharacteristic
502C2×D4×C43—21no—
503C2×D4×C43—21no—
504C2×D4×C43—21no—
505C2×D4×C43—21no—
506C2×D4×C43—21no—
507C2×D4×C43—21no—
508C2×D4×C43—21no—
509C2×D4×C43—21no—
510C2×D4×C43—22no—
511C2×D4×C43—22no—
512C2×D4×C43—41no—
513C2×D4×C43—41no—
514C2×D4×C43—82no—
515C2×D4×C43C2×D411yescharacteristic
516C2×D4×C43C2411yescharacteristic
517C2×D4×C43C2411yescharacteristic
518C2×D4×C43C2411yescharacteristic
519C2×D4×C43C2411yescharacteristic
520C22×C4×C43—21no—
521C22×C4×C43—21no—
522C22×C4×C43—21no—
523C22×C4×C43C2411yescharacteristic
524C22×C4×C43C2411yescharacteristic
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43—21no—
529C2×C22⋊D43—21no—
530C2×C22⋊D43—21no—
531C2×C22⋊D43—21no—
532C2×C22⋊D43—21no—
533C2×C22⋊D43—21no—
534C2×C22⋊D43—21no—
535C2×C22⋊D43—21no—
536C2×C22⋊D43—21no—
537C2×C22⋊D43—21no—
538C2×C22⋊D43—21no—
539C2×C22⋊D43—44no—
540C2×C22⋊D43—44no—
541C2×C22⋊D43—44no—
542C2×C22⋊D43—44no—
543C2×C22⋊D43C2×D411yescharacteristic
544C2×C22⋊D43C2×D411yescharacteristic
545C2×C22⋊D43C2×D411yescharacteristic
546C2×C22⋊D43C2×D411yescharacteristic
547C2×C22⋊D43C2×D411yescharacteristic
548C2×C22⋊D43C2×D411yescharacteristic
549C22×Dic43—21no—
550C22×Dic43—21no—
551C22×Dic43—21no—
552C22×Dic43—21no—
553C22×Dic43—21no—
554C22×Dic43—21no—
555C22×Dic43—21no—
556C22×Dic43—21no—
557Q8×D43—41no—
558Q8×D43—41no—
559#10621900—22no—
560#10621900—22no—
561#10621900—41no—
562#10621900—41no—
563#10621900—41no—
564#10621900—41no—
565#10621900—41no—
566#10621900—41no—
567#10621900—41no—
568#10621900—41no—
569#10621900—44no—
570#10621900—44no—
571D4×D43—22no—
572D4×D43—22no—
573D4×D43—22no—
574D4×D43—22no—
575D4×D43—44no—
576D4×D43—44no—
577D4×D43—41no—
578D4×D43—41no—
579D4×D43—82no—
580#10621898—22no—
581#10621898—22no—
582#10621898—41no—
583#10621898—41no—
584#10621898—41no—
585#10621898—41no—
586#10621898—41no—
587#10621898—41no—
588C2×D172C2×D411yescharacteristic
589C2×D172C2×D411yescharacteristic
590C2×D172C2×D411yescharacteristic
591C2×D172C2411yescharacteristic
592C2×C4×D43—21no—
593C2×C4×D43—21no—
594C2×C4×D43—21no—
595C2×C4×D43—21no—
596C2×C4×D43—21no—
597C2×C4×D43—21no—
598C2×C4×D43—21no—
599C2×C4×D43—82no—
600C2×C4×D43C2×D411yescharacteristic
601C2×C4×D43C2×D411yescharacteristic
602C2×C4×D43C2411yescharacteristic
603C2×C4×D43C2411yescharacteristic
604C2×C4×D43C2411yescharacteristic
605C2×Dic86—21no—
606C2×Dic86—21no—
607C2×Dic86C2×D411yescharacteristic
608C2×Dic86C2×D411yescharacteristic
609C2×Dic86C2411yescharacteristic
610C2×Dic86C2411yescharacteristic
611C2×Dic86C2411yescharacteristic
612SD16×C43—22no—
613SD16×C43—22no—
614SD16×C43—41no—
615SD16×C43—41no—
616SD16×C43—41no—
617SD16×C43—41no—
618D8×C43—22no—
619D8×C43—41no—
620D8×C43—41no—
621M16×C43—41no—
622C2×C8×C43—41no—
623C2×C8×C43C2411yescharacteristic
624C2×C8×C43C2411yescharacteristic
625C2×C8×C43C2411yescharacteristic
626C2×C8×C43C2411yescharacteristic
627C4⋊C4×C43—21no—
628C4⋊C4×C43—21no—
629C4⋊C4×C43C2×D411yescharacteristic
630C4⋊C4×C43C2411yescharacteristic
631C4⋊C4×C43C2411yescharacteristic
632C22⋊C4×C43—21no—
633C22⋊C4×C43—21no—
634C22⋊C4×C43—21no—
635C22⋊C4×C43—21no—
636C22⋊C4×C43—21no—
637C22⋊C4×C43—21no—
638C22⋊C4×C43—21no—
639C22⋊C4×C43C2×D411yescharacteristic
640C22⋊C4×C43C2×D411yescharacteristic
641C42×C43—21no—
642C42×C43C2411yescharacteristic
643C22⋊Dic43—21no—
644C22⋊Dic43—21no—
645C22⋊Dic43—21no—
646C22⋊Dic43—21no—
647C22⋊Dic43—21no—
648C22⋊Dic43—21no—
649C22⋊Dic43—21no—
650C22⋊Dic43—21no—
651C22⋊Dic43—21no—
652C22⋊Dic43—21no—
653C22⋊Dic43—21no—
654C22⋊Dic43—21no—
655C22⋊Dic43—21no—
656C22⋊Dic43—21no—
657C22⋊Dic43—21no—
658C22⋊Dic43C2×D411yescharacteristic
659C22⋊Dic43C2×D411yescharacteristic
660#10621885—41no—
661#10621885—41no—
662#10621885—41no—
663#10621885—41no—
664#10621884—22no—
665#10621884—22no—
666#10621883—22no—
667#10621883—41no—
668#10621883—41no—
669#10621883—41no—
670#10621883—41no—
671#10621882—22no—
672(C2×D43)⋊C4—21no—
673(C2×D43)⋊C4—21no—
674(C2×D43)⋊C4—21no—
675(C2×D43)⋊C4—21no—
676(C2×D43)⋊C4—21no—
677(C2×D43)⋊C4—21no—
678(C2×D43)⋊C4—21no—
679(C2×D43)⋊C4—21no—
680(C2×D43)⋊C4—21no—
681(C2×D43)⋊C4—21no—
682(C2×D43)⋊C4—21no—
683(C2×D43)⋊C4C2×D411yescharacteristic
684(C2×D43)⋊C4C2×D411yescharacteristic
685(C2×D43)⋊C4C2×D411yescharacteristic
686(C2×D43)⋊C4C2×D411yescharacteristic
687C4⋊Dic43—21no—
688C4⋊Dic43—21no—
689C4⋊Dic43—21no—
690C4⋊Dic43—21no—
691C4⋊Dic43—21no—
692C4⋊Dic43—21no—
693C4⋊Dic43—21no—
694C4⋊Dic43C2×D411yescharacteristic
695C4⋊Dic43C2411yescharacteristic
696C4⋊Dic43C2411yescharacteristic
697C4⋊Dic43C2411yescharacteristic
698C4⋊Dic43C2411yescharacteristic
699Dic43⋊C4—21no—
700Dic43⋊C4—21no—
701Dic43⋊C4—21no—
702Dic43⋊C4—21no—
703Dic43⋊C4—21no—
704Dic43⋊C4—21no—
705Dic43⋊C4—21no—
706Dic43⋊C4—21no—
707Dic43⋊C4—21no—
708Dic43⋊C4—21no—
709Dic43⋊C4—21no—
710Dic43⋊C4—21no—
711Dic43⋊C4—21no—
712Dic43⋊C4—21no—
713Dic43⋊C4—21no—
714Dic43⋊C4—21no—
715Dic43⋊C4—21no—
716Dic43⋊C4C2×D411yescharacteristic
717Dic43⋊C4C2×D411yescharacteristic
718C4×Dic43—21no—
719C4×Dic43—21no—
720C4×Dic43—21no—
721C4×Dic43—21no—
722C4×Dic43C2×D411yescharacteristic
723C4×Dic43C2×D411yescharacteristic
724C4×Dic43C2411yescharacteristic
725#10621877—41no—
726C2×C43⋊C8—41no—
727C2×C43⋊C8C2411yescharacteristic
728C2×C43⋊C8C2411yescharacteristic
729C2×C43⋊C8C2411yescharacteristic
730C2×C43⋊C8C2411yescharacteristic
731Dic172—41no—
732Dic172—41no—
733#10621873—22no—
734#10621872—41no—
735#10621872—41no—
736C8×D43—41no—
737C8×D43—41no—
738C23×C43—21no—
739C23×C43—21no—
740C23×C43—21no—
741C23×C43—21no—
742C23×C43—42no—
743C23×C43—42no—
744C23×C43—81no—
745C23×C43—81no—
746C23×C43—81no—
747C23×C43—81no—
748C23×C43C22×D411yescharacteristic
749C23×C43C22×D411yescharacteristic
750C22×D43—21no—
751C22×D43—24no—
752C22×D43—42no—
753C22×D43—42no—
754C22×D43—81no—
755C22×D43—81no—
756C22×D43—81no—
757C22×D43—81no—
758C22×D43—81no—
759C22×D43—81no—
760C22×D43C22×D411yescharacteristic
761C22×D43C22×D411yescharacteristic
762C22×D43C22×D411yescharacteristic
763Q8×C43—21no—
764Q8×C43—21no—
765Q8×C43—21no—
766Q8×C43—21no—
767Q8×C43—81no—
768D4×C43—21no—
769D4×C43—21no—
770D4×C43—21no—
771D4×C43—21no—
772D4×C43—21no—
773D4×C43—21no—
774D4×C43—21no—
775D4×C43—41no—
776D4×C43—42no—
777D4×C43—42no—
778D4×C43—42no—
779D4×C43—81no—
780D4×C43—81no—
781D4×C43—81no—
782D4×C43—81no—
783D4×C43—81no—
784D4×C43H(5,𝔽2)12yes—
785C2×C4×C43—21no—
786C2×C4×C43—21no—
787C2×C4×C43—21no—
788C2×C4×C43—21no—
789C2×C4×C43—21no—
790C2×C4×C43—21no—
791C2×C4×C43—21no—
792C2×C4×C43—21no—
793C2×C4×C43—42no—
794C2×C4×C43—81no—
795C2×C4×C43—81no—
796C2×C4×C43C22×D411yescharacteristic
797C2×C4×C43C22×D411yescharacteristic
798C2×C4×C43C22×D411yescharacteristic
799C2×C4×C43C22×D411yescharacteristic
800C2×C4×C43C2511yescharacteristic
801C22⋊D43—24no—
802C22⋊D43—41no—
803C22⋊D43—41no—
804C22⋊D43—41no—
805C22⋊D43—41no—
806C22⋊D43—41no—
807C22⋊D43—41no—
808C22⋊D43—42no—
809C22⋊D43—42no—
810C22⋊D43—42no—
811C22⋊D43—42no—
812C22⋊D43—42no—
813C22⋊D43—42no—
814C22⋊D43—42no—
815C22⋊D43—42no—
816C22⋊D43—81no—
817C22⋊D43—81no—
818C22⋊D43—81no—
819C22⋊D43—81no—
820C22⋊D43—81no—
821C2×Dic43—21no—
822C2×Dic43—21no—
823C2×Dic43—21no—
824C2×Dic43—21no—
825C2×Dic43—21no—
826C2×Dic43—21no—
827C2×Dic43—21no—
828C2×Dic43—42no—
829C2×Dic43—42no—
830C2×Dic43—42no—
831C2×Dic43—42no—
832C2×Dic43—42no—
833C2×Dic43—81no—
834C2×Dic43—81no—
835C2×Dic43—81no—
836C2×Dic43C22×D411yescharacteristic
837C2×Dic43C22×D411yescharacteristic
838C2×Dic43C22×D411yescharacteristic
839C2×Dic43C22×D411yescharacteristic
840C2×Dic43C22×D411yescharacteristic
841D172—21no—
842D172—41no—
843D172—41no—
844D172—41no—
845D172H(5,𝔽2)12yes—
846C4×D43—21no—
847C4×D43—21no—
848C4×D43—21no—
849C4×D43—21no—
850C4×D43—21no—
851C4×D43—21no—
852C4×D43—41no—
853C4×D43—41no—
854C4×D43—42no—
855C4×D43—42no—
856C4×D43—42no—
857C4×D43—81no—
858C4×D43—81no—
859C4×D43—81no—
860C4×D43—81no—
861Dic86—21no—
862Dic86—21no—
863Dic86—21no—
864Dic86—21no—
865Dic86—21no—
866Dic86—21no—
867Dic86—41no—
868Dic86—41no—
869Dic86—81no—
870Dic86—81no—
871C8×C43—21no—
872C8×C43—21no—
873C8×C43—21no—
874C8×C43—21no—
875C43⋊C8—21no—
876C43⋊C8—21no—
877C43⋊C8—21no—
878C43⋊C8—21no—
879#61670—431nomaximal, Sylow
880C22×C43—21no—
881C22×C43—21no—
882C22×C43—21no—
883C22×C43—21no—
884C22×C43—22no—
885C22×C43—21no—
886C22×C43—21no—
887C22×C43—41no—
888C22×C43—41no—
889C22×C43—41no—
890C22×C43—41no—
891C22×C43—41no—
892C22×C43—41no—
893C22×C43—41no—
894C22×C43—41no—
895C22×C43—41no—
896C22×C43—41no—
897C22×C43—41no—
898C22×C43—162no—
899C22×C43—162no—
900C22×C43C23×D411yescharacteristic
901C2×D43—21no—
902C2×D43—21no—
903C2×D43—21no—
904C2×D43—21no—
905C2×D43—21no—
906C2×D43—21no—
907C2×D43—21no—
908C2×D43—22no—
909C2×D43—21no—
910C2×D43—21no—
911C2×D43—41no—
912C2×D43—41no—
913C2×D43—84no—
914C2×D43—162no—
915C2×D43—162no—
916C4×C43—21no—
917C4×C43—21no—
918C4×C43—21no—
919C4×C43—21no—
920C4×C43—41no—
921C4×C43—41no—
922C4×C43—41no—
923C4×C43—41no—
924C4×C43C2×H(5,𝔽2)11yescharacteristic
925C4×C43C2×H(5,𝔽2)11yescharacteristic
926Dic43—21no—
927Dic43—21no—
928Dic43—21no—
929Dic43—21no—
930Dic43—21no—
931Dic43—41no—
932Dic43—41no—
933Dic43—41no—
934Dic43—41no—
935Dic43—41no—
936Dic43—41no—
937Dic43—41no—
938#3547—431no—
939#3496—431no—
940#3319—431no—
941#3319—431no—
942#3315—431no—
943#3315—431no—
944#3314—431no—
945#3314—431no—
946#3310—431no—
947#3310—431no—
948#3269—431no—
949#3269—431no—
950#3267—431no—
951#3267—431no—
952#3266—431no—
953#3266—431no—
954#3265—431no—
955#3265D4311yescharacteristic, complemented
956#3219—431no—
957#3216—431no—
958#3203—431no—
959#3203—431no—
960#3201—431no—
961#3201—431no—
962#3114—431no—
963#3110—431no—
964#3012—431no—
965#3012—431no—
966#3009—431no—
967#3009—431no—
968#2980—431no—
969C2×C43—42no—
970C2×C43—41no—
971C2×C43—41no—
972C2×C43—81no—
973C2×C43—81no—
974C2×C43—81no—
975C2×C43#348411yescharacteristic
976C2×C43#358511yescharacteristic
977C2×C43#358611yescharacteristic
978D43—41no—
979D43—41no—
980D43—41no—
981D43—42no—
982C2×H(5,𝔽2)—431no—
983C2×H(5,𝔽2)—431no—
984C2×#137—431no—
985C2×#137—431no—
986C2×AGL(1,ℤ/8)—431no—
987C2×AGL(1,ℤ/8)C2×D4311yescharacteristic, complemented
988C2×#135—431no—
989C2×#135—431no—
990C22×SD16—431no—
991C22×SD16C2×D4311yescharacteristic, complemented
992#562—861no—
993#562—861no—
994#555—431no—
995#555—861no—
996#554—431no—
997#553—861no—
998#552—431no—
999#552—431no—
1000D4×Q8—431no—
1001#548—431no—
1002#548C2×D4311yescharacteristic, complemented
1003#547—431no—
1004#547—431no—
1005#547—431no—
1006#547—861no—
1007#546—431no—
1008#546—431no—
1009#546—431no—
1010#546—431no—
1011#546—861no—
1012#546—861no—
1013D42—431no—
1014D42—861no—
1015D42C2×D4311yescharacteristic
1016#544—861no—
1017#542—861no—
1018#542—861no—
1019#540—861no—
1020#537—431no—
1021#537—431no—
1022#537—431no—
1023#537—431no—
1024#536—431no—
1025#536—431no—
1026#534—861no—
1027#534—861no—
1028#533—431no—
1029#532—431no—
1030#532—431no—
1031#529—431no—
1032C2×#121—861no—
1033C2×#121—861no—
1034C2×C4×D4—431no—
1035#497—431no—
1036#497—431no—
1037#497—431no—
1038#496C2×D4311yescharacteristic, complemented
1039#491—431no—
1040#490—431no—
1041#489—431no—
1042#489—431no—
1043#485—431no—
1044#485—431no—
1045#484—431no—
1046#484—431no—
1047#484—431no—
1048#484—431no—
1049#483—431no—
1050#482—431no—
1051#482—431no—
1052#480—431no—
1053#480—431no—
1054#480—431no—
1055#478—431no—
1056#478—431no—
1057#474—431no—
1058#474—431no—
1059#470—431no—
1060#470—431no—
1061#468—431no—
1062#468—431no—
1063#468—431no—
1064#468—431no—
1065#468—431no—
1066#468C2×D4311yescharacteristic, complemented
1067#467—431no—
1068#467—431no—
1069#467—431no—
1070#467—431no—
1071#466—431no—
1072#466C2×D4311yescharacteristic, complemented
1073#465—431no—
1074#465—431no—
1075#464—431no—
1076#464—431no—
1077#463—431no—
1078#463—431no—
1079#463—431no—
1080#463C2×D4311yescharacteristic, complemented
1081#462—431no—
1082#462—431no—
1083#461—431no—
1084#461—431no—
1085#460—431no—
1086#460C2×D4311yescharacteristic, complemented
1087#452—431no—
1088#452—431no—
1089#452—431no—
1090#452—431no—
1091#452—431no—
1092#452—431no—
1093#452—431no—
1094#452—431no—
1095#452—431no—
1096#452—431no—
1097#452—431no—
1098#452—431no—
1099#452—431no—
1100#452—431no—
1101#451—431no—
1102#451—431no—
1103#450—431no—
1104#450—431no—
1105#450—431no—
1106#450—431no—
1107#450—431no—
1108#450—431no—
1109#450—431no—
1110#450—431no—
1111#450C2×D4311yescharacteristic, complemented
1112#449—431no—
1113#449—431no—
1114#449—431no—
1115#449—431no—
1116#449—431no—
1117#449C2×D4311yescharacteristic, complemented
1118#448—431no—
1119#448C2×D4311yescharacteristic, complemented
1120#447—431no—
1121#447—431no—
1122#447C2×D4311yescharacteristic, complemented
1123#442—431no—
1124#442—431no—
1125#440—431no—
1126#440—431no—
1127#440—431no—
1128#440—431no—
1129#440—431no—
1130#440C2×D4311yescharacteristic, complemented
1131#435—431no—
1132#435—431no—
1133#435—431no—
1134#435—431no—
1135#435—431no—
1136#435—431no—
1137#435—431no—
1138#435C2×D4311yescharacteristic, complemented
1139#432—431no—
1140#432—431no—
1141#418—431no—
1142#418—431no—
1143#417—431no—
1144#417—431no—
1145#416—431no—
1146#416—431no—
1147C2×#102—431no—
1148C2×#102—431no—
1149#408—431no—
1150#408—431no—
1151#408—431no—
1152#408—431no—
1153C43#6167011yescharacteristic, complemented, Sylow
1154H(5,𝔽2)—1722no—
1155H(5,𝔽2)—1722no—
1156H(5,𝔽2)—1722no—
1157H(5,𝔽2)—1722no—
1158C2×#41—431no—
1159C2×#41—431no—
1160C2×#41—431no—
1161C2×#41—431no—
1162C2×#41—431no—
1163C2×#41—431no—
1164C2×#41—431no—
1165C2×#41—431no—
1166C2×#41—431no—
1167C2×#41—861no—
1168C2×#41—861no—
1169C2×#41C22×D4311yescharacteristic
1170C22×Q8—431no—
1171C22×Q8C22×D4311yescharacteristic
1172C22×D4—21no—
1173C22×D4—431no—
1174C22×D4—431no—
1175C22×D4—431no—
1176C22×D4—861no—
1177C22×D4—861no—
1178C22×D4—861no—
1179C22×D4—861no—
1180C22×D4—861no—
1181C22×D4—861no—
1182C22×D4—861no—
1183C22×D4C22×D4311yescharacteristic
1184C22×D4C22×D4311yescharacteristic
1185C23×C4—861no—
1186#137—1722no—
1187#137—1722no—
1188AGL(1,ℤ/8)—42no—
1189AGL(1,ℤ/8)—1722no—
1190#135—1722no—
1191#135—1722no—
1192C2×Q16—431no—
1193C2×Q16—431no—
1194C2×Q16—431no—
1195C2×Q16—431no—
1196C2×Q16—431no—
1197C2×Q16—431no—
1198C2×SD16—42no—
1199C2×SD16—431no—
1200C2×SD16—431no—
1201C2×SD16—431no—
1202C2×SD16—431no—
1203C2×SD16—431no—
1204C2×SD16—431no—
1205C2×SD16—431no—
1206C2×SD16—431no—
1207C2×SD16—1722no—
1208C2×SD16C22×D4311yescharacteristic
1209C2×SD16C22×D4311yescharacteristic
1210C2×SD16C22×D4311yescharacteristic
1211C2×SD16C22×D4311yescharacteristic
1212C2×SD16C22×D4311yescharacteristic
1213C2×SD16C22×D4311yescharacteristic
1214C2×D8—431no—
1215C2×D8C22×D4311yescharacteristic
1216C2×D8C22×D4311yescharacteristic
1217C2×D8C22×D4311yescharacteristic
1218C2×M16—431no—
1219C2×M16—431no—
1220C2×M16—431no—
1221C2×M16C22×D4311yescharacteristic
1222C22×C8—431no—
1223C22×C8—431no—
1224C22×C8—431no—
1225C22×C8C22×D4311yescharacteristic
1226C4⋊Q8—431no—
1227C4⋊Q8—431no—
1228C4⋊Q8—431no—
1229C4⋊Q8—431no—
1230C4⋊Q8—861no—
1231C4⋊Q8—861no—
1232C4⋊Q8—861no—
1233#127—431no—
1234#127C22×D4311yescharacteristic
1235#126—861no—
1236#126—861no—
1237#126—861no—
1238#125—431no—
1239#125—861no—
1240#125—861no—
1241#125—861no—
1242#125—861no—
1243#124—21no—
1244#124—431no—
1245#124—431no—
1246#124—431no—
1247#124—431no—
1248#124—861no—
1249#124—861no—
1250#124—861no—
1251#124—861no—
1252#124—861no—
1253#124C22×D4311yescharacteristic
1254#123—861no—
1255#123—861no—
1256#123—861no—
1257#123—861no—
1258#123—861no—
1259#123—861no—
1260#123—861no—
1261#123—861no—
1262#123—861no—
1263#123—861no—
1264#123—861no—
1265#123—861no—
1266#123—861no—
1267#123—861no—
1268#123—861no—
1269#123—861no—
1270#123—861no—
1271C22⋊Q8—21no—
1272C22⋊Q8—431no—
1273C22⋊Q8—431no—
1274C22⋊Q8—431no—
1275C22⋊Q8—431no—
1276C22⋊Q8—431no—
1277C22⋊Q8—431no—
1278C22⋊Q8—431no—
1279C22⋊Q8—431no—
1280C22⋊Q8—431no—
1281C22⋊Q8—431no—
1282C22⋊Q8—431no—
1283C22⋊Q8—431no—
1284C22⋊Q8—861no—
1285C22⋊Q8—861no—
1286C22⋊Q8—861no—
1287C22⋊Q8—861no—
1288C22⋊Q8—861no—
1289C22⋊Q8—861no—
1290C22⋊Q8—861no—
1291C22⋊Q8—861no—
1292C22⋊Q8—861no—
1293C22⋊Q8—861no—
1294C22⋊Q8C22×D4311yescharacteristic
1295#121—21no—
1296#121—21no—
1297#121—431no—
1298#121—431no—
1299#121—431no—
1300#121—431no—
1301#121—431no—
1302#121—431no—
1303#121—431no—
1304#121—431no—
1305#121—861no—
1306#121—861no—
1307#121—861no—
1308#121—861no—
1309#121—861no—
1310#121—861no—
1311#121—861no—
1312#121—861no—
1313#121—861no—
1314#121—861no—
1315#121—861no—
1316#121—861no—
1317#121—861no—
1318#121—861no—
1319#121—861no—
1320#121—861no—
1321#121—861no—
1322#121—861no—
1323#121—861no—
1324#121—861no—
1325#121—861no—
1326#121—861no—
1327#121—861no—
1328#121—861no—
1329#121C22×D4311yescharacteristic
1330#121C22×D4311yescharacteristic
1331#121C22×D4311yescharacteristic
1332#120—21no—
1333#120—21no—
1334#120—861no—
1335#120—861no—
1336#120—861no—
1337#120—861no—
1338#120—861no—
1339#120—861no—
1340C4×Q8—431no—
1341C4×Q8—431no—
1342C4×Q8—861no—
1343C4×Q8C22×D4311yescharacteristic
1344C4×D4—21no—
1345C4×D4—431no—
1346C4×D4—431no—
1347C4×D4—431no—
1348C4×D4—431no—
1349C4×D4—431no—
1350C4×D4—431no—
1351C4×D4—431no—
1352C4×D4—861no—
1353C4×D4—861no—
1354C4×D4—861no—
1355C4×D4—861no—
1356C4×D4—861no—
1357C4×D4—861no—
1358C4×D4—861no—
1359C4×D4—861no—
1360C4×D4C22×D4311yescharacteristic
1361C4×D4C22×D4311yescharacteristic
1362#117—431no—
1363#117—431no—
1364#117—861no—
1365#117—861no—
1366#117—861no—
1367#117—861no—
1368#117—861no—
1369C2×C4⋊C4—431no—
1370C2×C4⋊C4—431no—
1371C2×C4⋊C4—431no—
1372C2×C4⋊C4—861no—
1373C2×C4⋊C4—861no—
1374C2×C4⋊C4—861no—
1375C2×C22⋊C4—861no—
1376C2×C22⋊C4—861no—
1377C2×C22⋊C4—861no—
1378C2×C22⋊C4—861no—
1379C2×C22⋊C4—861no—
1380C2×C42—431no—
1381#107—431no—
1382#107—431no—
1383#107—431no—
1384#107—431no—
1385#107—431no—
1386#107C22×D4311yescharacteristic
1387#106—431no—
1388#106—431no—
1389C4⋊C8—431no—
1390C4⋊C8—431no—
1391C4⋊C8—431no—
1392C4⋊C8C22×D4311yescharacteristic
1393#103—431no—
1394#103—431no—
1395#103—431no—
1396#103—431no—
1397#103—431no—
1398#103—431no—
1399#103—431no—
1400#103—431no—
1401#103—431no—
1402#103—431no—
1403#103—431no—
1404#103—431no—
1405#103C22×D4311yescharacteristic
1406#103C22×D4311yescharacteristic
1407#102—431no—
1408#102—431no—
1409#102—431no—
1410#102—431no—
1411#102—431no—
1412#102—431no—
1413#102—431no—
1414#102—431no—
1415#102—431no—
1416#102—431no—
1417#102—431no—
1418#102—431no—
1419#102—431no—
1420#102—431no—
1421#102C22×D4311yescharacteristic
1422#102C22×D4311yescharacteristic
1423#102C22×D4311yescharacteristic
1424#102C22×D4311yescharacteristic
1425C22⋊C8—431no—
1426C22⋊C8—431no—
1427C22⋊C8—431no—
1428C22⋊C8—431no—
1429C22⋊C8—431no—
1430C22⋊C8—431no—
1431C22⋊C8—431no—
1432C22⋊C8—431no—
1433C22⋊C8—431no—
1434C22⋊C8—431no—
1435C22⋊C8C22×D4311yescharacteristic
1436C22⋊C8C22×D4311yescharacteristic
1437#97—431no—
1438#97—431no—
1439#97—431no—
1440#97C22×D4311yescharacteristic
1441C24—21no—
1442C24—21no—
1443C24—861no—
1444C24—861no—
1445C24—861no—
1446#41—41no—
1447#41—41no—
1448#41—862no—
1449#41—862no—
1450#41—862no—
1451#41—862no—
1452#41—1721no—
1453#41—1721no—
1454#41—1721no—
1455#41—1721no—
1456#41—1721no—
1457#41—1721no—
1458#41—1721no—
1459#41—1721no—
1460#41—1721no—
1461#41—1721no—
1462#41—1721no—
1463#41—1721no—
1464#41—1721no—
1465#41—1721no—
1466#41—1724no—
1467#41—1724no—
1468C2×Q8—21no—
1469C2×Q8—41no—
1470C2×Q8—41no—
1471C2×Q8—431no—
1472C2×Q8—431no—
1473C2×Q8—431no—
1474C2×Q8—431no—
1475C2×Q8—431no—
1476C2×Q8—861no—
1477C2×Q8—861no—
1478C2×Q8—1721no—
1479C2×Q8—1721no—
1480C2×Q8C23×D4311yescharacteristic
1481C2×Q8C23×D4311yescharacteristic
1482C2×D4—22no—
1483C2×D4—22no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—41no—
1493C2×D4—41no—
1494C2×D4—82no—
1495C2×D4—431no—
1496C2×D4—431no—
1497C2×D4—431no—
1498C2×D4—431no—
1499C2×D4—431no—
1500C2×D4—431no—
1501C2×D4—431no—
1502C2×D4—431no—
1503C2×D4—431no—
1504C2×D4—431no—
1505C2×D4—861no—
1506C2×D4—861no—
1507C2×D4—861no—
1508C2×D4—862no—
1509C2×D4—862no—
1510C2×D4—862no—
1511C2×D4—862no—
1512C2×D4—861no—
1513C2×D4—861no—
1514C2×D4—861no—
1515C2×D4—861no—
1516C2×D4—861no—
1517C2×D4—861no—
1518C2×D4—861no—
1519C2×D4—861no—
1520C2×D4—861no—
1521C2×D4—861no—
1522C2×D4—861no—
1523C2×D4—3442no—
1524C2×D4—1721no—
1525C2×D4—1721no—
1526C2×D4—1724no—
1527C2×D4—1724no—
1528C2×D4—1724no—
1529C2×D4—1724no—
1530C2×D4—1724no—
1531C2×D4—1724no—
1532C2×D4D4×D4311yescharacteristic
1533C2×D4C23×D4311yescharacteristic
1534C2×D4C23×D4311yescharacteristic
1535C2×D4C23×D4311yescharacteristic
1536C2×D4C23×D4311yescharacteristic
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—431no—
1541C22×C4—431no—
1542C22×C4—431no—
1543C22×C4—431no—
1544C22×C4—431no—
1545C22×C4—861no—
1546C22×C4—861no—
1547C22×C4—861no—
1548C22×C4—861no—
1549C22×C4—861no—
1550C22×C4—861no—
1551C22×C4—861no—
1552C22×C4—861no—
1553C22×C4—861no—
1554C22×C4—861no—
1555C22×C4—861no—
1556C22×C4—861no—
1557C22×C4—861no—
1558C22×C4—861no—
1559C22×C4—861no—
1560C22×C4—3442no—
1561C22×C4C23×D4311yescharacteristic
1562C22×C4C23×D4311yescharacteristic
1563Q16—1721no—
1564Q16—1721no—
1565Q16—1721no—
1566Q16—1721no—
1567Q16—1721no—
1568Q16—1721no—
1569SD16—22no—
1570SD16—22no—
1571SD16—41no—
1572SD16—41no—
1573SD16—41no—
1574SD16—41no—
1575SD16—862no—
1576SD16—862no—
1577SD16—862no—
1578SD16—862no—
1579SD16—1721no—
1580SD16—1721no—
1581SD16—1721no—
1582SD16—1721no—
1583D8—22no—
1584D8—41no—
1585D8—41no—
1586D8—862no—
1587M16—41no—
1588M16—1721no—
1589M16—1721no—
1590M16—1721no—
1591C2×C8—41no—
1592C2×C8—431no—
1593C2×C8—431no—
1594C2×C8—431no—
1595C2×C8—431no—
1596C2×C8—1721no—
1597C2×C8—1721no—
1598C2×C8—1721no—
1599C2×C8C23×D4311yescharacteristic
1600C2×C8C23×D4311yescharacteristic
1601C2×C8C23×D4311yescharacteristic
1602C2×C8C23×D4311yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—431no—
1606C4⋊C4—431no—
1607C4⋊C4—431no—
1608C4⋊C4—431no—
1609C4⋊C4—431no—
1610C4⋊C4—431no—
1611C4⋊C4—431no—
1612C4⋊C4—861no—
1613C4⋊C4—861no—
1614C4⋊C4—861no—
1615C4⋊C4—861no—
1616C4⋊C4—861no—
1617C4⋊C4—861no—
1618C4⋊C4—861no—
1619C4⋊C4—861no—
1620C4⋊C4—861no—
1621C4⋊C4—861no—
1622C4⋊C4—861no—
1623C4⋊C4—861no—
1624C4⋊C4—861no—
1625C4⋊C4—861no—
1626C4⋊C4—861no—
1627C4⋊C4—861no—
1628C4⋊C4—861no—
1629C4⋊C4—861no—
1630C4⋊C4—861no—
1631C4⋊C4—861no—
1632C4⋊C4—861no—
1633C4⋊C4—861no—
1634C4⋊C4—861no—
1635C4⋊C4—861no—
1636C4⋊C4D4×D4311yescharacteristic
1637C4⋊C4C23×D4311yescharacteristic
1638C4⋊C4C23×D4311yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—431no—
1647C22⋊C4—431no—
1648C22⋊C4—431no—
1649C22⋊C4—431no—
1650C22⋊C4—431no—
1651C22⋊C4—431no—
1652C22⋊C4—861no—
1653C22⋊C4—861no—
1654C22⋊C4—861no—
1655C22⋊C4—861no—
1656C22⋊C4—861no—
1657C22⋊C4—861no—
1658C22⋊C4—861no—
1659C22⋊C4—861no—
1660C22⋊C4—861no—
1661C22⋊C4—861no—
1662C22⋊C4—861no—
1663C22⋊C4—861no—
1664C22⋊C4—861no—
1665C22⋊C4—861no—
1666C22⋊C4—861no—
1667C22⋊C4—861no—
1668C22⋊C4—861no—
1669C22⋊C4—861no—
1670C22⋊C4—861no—
1671C22⋊C4—861no—
1672C22⋊C4—861no—
1673C22⋊C4—861no—
1674C22⋊C4—861no—
1675C22⋊C4—861no—
1676C22⋊C4—861no—
1677C22⋊C4—861no—
1678C22⋊C4D4×D4311yescharacteristic
1679C22⋊C4D4×D4311yescharacteristic
1680C42—21no—
1681C42—431no—
1682C42—431no—
1683C42—431no—
1684C42—861no—
1685C42—861no—
1686C42—861no—
1687C42—861no—
1688C42C23×D4311yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—42no—
1694C23—42no—
1695C23—81no—
1696C23—81no—
1697C23—81no—
1698C23—81no—
1699C23—431no—
1700C23—431no—
1701C23—431no—
1702C23—864no—
1703C23—861no—
1704C23—3441no—
1705C23—3441no—
1706C23—3441no—
1707C23—3441no—
1708C23—3441no—
1709C23—3441no—
1710C23—1722no—
1711C23—1722no—
1712C23C2×D4×D4311yescharacteristic
1713C23C2×D4×D4311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—81no—
1719Q8—861no—
1720Q8—861no—
1721Q8—861no—
1722Q8—861no—
1723Q8—861no—
1724Q8—861no—
1725Q8—3441no—
1726Q8—3441no—
1727Q8—1721no—
1728Q8—1721no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—41no—
1737D4—42no—
1738D4—42no—
1739D4—42no—
1740D4—81no—
1741D4—81no—
1742D4—81no—
1743D4—81no—
1744D4—81no—
1745D4—432no—
1746D4—864no—
1747D4—861no—
1748D4—3441no—
1749D4—3441no—
1750D4—3441no—
1751D4—3441no—
1752D4—3441no—
1753D4—1721no—
1754D4—1721no—
1755D4—1721no—
1756D4—1721no—
1757D4—1721no—
1758D4—1721no—
1759D4—1721no—
1760D4—1721no—
1761D4—1721no—
1762D4—1722no—
1763D4—1722no—
1764D4—1722no—
1765D4—1722no—
1766D4—1722no—
1767D4—1722no—
1768D4—1722no—
1769D4—1722no—
1770D4#1306337012yes—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—42no—
1780C2×C4—81no—
1781C2×C4—81no—
1782C2×C4—431no—
1783C2×C4—431no—
1784C2×C4—431no—
1785C2×C4—431no—
1786C2×C4—431no—
1787C2×C4—861no—
1788C2×C4—861no—
1789C2×C4—861no—
1790C2×C4—861no—
1791C2×C4—861no—
1792C2×C4—861no—
1793C2×C4—861no—
1794C2×C4—861no—
1795C2×C4—861no—
1796C2×C4—861no—
1797C2×C4—861no—
1798C2×C4—861no—
1799C2×C4—861no—
1800C2×C4—3441no—
1801C2×C4—3441no—
1802C2×C4—3441no—
1803C2×C4—3441no—
1804C2×C4—3441no—
1805C2×C4—3441no—
1806C2×C4—3441no—
1807C2×C4—1721no—
1808C2×C4—1721no—
1809C2×C4—1722no—
1810C2×C4—1722no—
1811C2×C4—1722no—
1812C2×C4—1722no—
1813C2×C4—1722no—
1814C2×C4—1722no—
1815C2×C4—1722no—
1816C2×C4—1722no—
1817C2×C4C2×D4×D4311yescharacteristic
1818C2×C4C2×D4×D4311yescharacteristic
1819C2×C4C2×D4×D4311yescharacteristic
1820C2×C4C2×D4×D4311yescharacteristic
1821C2×C4C24×D4311yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—861no—
1827C8—861no—
1828C8—861no—
1829C8—861no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—22no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—162no—
1849C22—162no—
1850C22—861no—
1851C22—861no—
1852C22—861no—
1853C22—861no—
1854C22—861no—
1855C22—861no—
1856C22—861no—
1857C22—861no—
1858C22—861no—
1859C22—862no—
1860C22—3444no—
1861C22—1721no—
1862C22—1721no—
1863C22—6882no—
1864C22—6882no—
1865C22C22×D4×D4311yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—861no—
1875C4—861no—
1876C4—861no—
1877C4—861no—
1878C4—861no—
1879C4—1721no—
1880C4—1721no—
1881C4—1721no—
1882C4—1721no—
1883C4—1721no—
1884C4—1721no—
1885C4—1721no—
1886C4H(5,𝔽2)×D4311yescharacteristic
1887C4C2×#1306337011yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—42no—
1891C2—81no—
1892C2—81no—
1893C2—81no—
1894C2—1721no—
1895C2—1721no—
1896C2—1721no—
1897C2—1722no—
1898C2#1914822311yescharacteristic
1899C2#1914937111yescharacteristic
1900C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3265C2
socleC22×C43C23×D4
hypercenter#3265D43
hypocenterC43#61670
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #19148976C2semidirect
2. #19148351C2semidirect
3. #19146757C2semidirect
4. #19146744C2semidirect
5. #19146696C2semidirect
6. #19146693C2semidirect
7. #19146680C2semidirect
8. #19146671C2semidirect
9. #19146623C2semidirect
10. #19146616C2semidirect
11. #19146156C2semidirect
12. #19146151C2semidirect
13. #19146114C2semidirect
14. #19146113C2semidirect
15. #19146108C2semidirect
16. #19146105C2semidirect
17. #19146089C2semidirect
18. #19145627C2semidirect
19. #19145604C2semidirect
20. #19145494C2semidirect
21. #19145491C2semidirect
22. #19145473C2semidirect
23. #19145472C2semidirect
24. #19144732C2semidirect
25. #19144692C2semidirect
26. #19143898C2semidirect
27. #19143894C2semidirect
28. #19143868C2semidirect
29. #19143867C2semidirect
30. #19143663C2semidirect
31. C43×#3265C2semidirect
34. C2×#13063356C22semidirect
35. C2×#13063354C22semidirect
36. C2×#13063349C22semidirect
37. C2×#13063345C22semidirect
38. C2×#13063344C22semidirect
39. C2×SD16×D43C22semidirect
42. #14583613C22semidirect
44. #14583607C22semidirect
46. #14583590C22semidirect
47. #14583589C22semidirect
48. Q8×C22⋊D43C22semidirect
49. #14583557C22semidirect
53. #14583548C22semidirect
68. #14583478C22semidirect
69. #14583477C22semidirect
70. #14583473C22semidirect
71. #14583472C22semidirect
74. #14583453C22semidirect
77. #14583428C22semidirect
81. #14583294C22semidirect
82. #14583290C22semidirect
83. #14583290C22semidirect
84. #14583268C22semidirect
85. #14583263C22semidirect
86. #14583257C22semidirect
87. #14583257C22semidirect
88. #14583242C22semidirect
89. #14583241C22semidirect
90. #14583236C22semidirect
91. #14583236C22semidirect
92. #14583235C22semidirect
93. #14583233C22semidirect
94. #14583228C22semidirect
95. #14583222C22semidirect
96. #14583220C22semidirect
97. #14583211C22semidirect
98. #14583211C22semidirect
99. #14583210C22semidirect
100. #14583200C22semidirect
101. #14583199C22semidirect
102. #14583178C22semidirect
103. #14583177C22semidirect
104. #14583157C22semidirect
105. #14583156C22semidirect
106. #14583144C22semidirect
107. #14583143C22semidirect
108. #14583143C22semidirect
109. #14583142C22semidirect
110. #14583142C22semidirect
111. #14583140C22semidirect
112. #14583139C22semidirect
113. #14583139C22semidirect
114. #14583138C22semidirect
115. #14583132C22semidirect
116. #14583126C22semidirect
117. #14583125C22semidirect
118. #14583119C22semidirect
119. #14583119C22semidirect
120. #14583112C22semidirect
121. #14583112C22semidirect
122. #14583111C22semidirect
123. #14583110C22semidirect
124. #14583109C22semidirect
125. #14583103C22semidirect
126. #14583102C22semidirect
127. #14583096C22semidirect
128. #14583063C22semidirect
129. #14583063C22semidirect
130. #14583062C22semidirect
131. #14583062C22semidirect
132. #14583062C22semidirect
133. #14583061C22semidirect
134. #14583059C22semidirect
135. #14583058C22semidirect
136. #14583058C22semidirect
137. #14583058C22semidirect
138. #14583058C22semidirect
139. #14583058C22semidirect
140. #14583058C22semidirect
141. #14583058C22semidirect
142. #14583056C22semidirect
143. #14583055C22semidirect
145. #14583050C22semidirect
146. #14583050C22semidirect
149. #14583048C22semidirect
150. #14583048C22semidirect
151. #14583048C22semidirect
152. #14583042C22semidirect
153. #14583041C22semidirect
154. #14583041C22semidirect
155. #14583041C22semidirect
156. #14583041C22semidirect
157. #14583036C22semidirect
159. #14583031C22semidirect
160. #14583011C22semidirect
161. #14583008C22semidirect
162. #14583002C22semidirect
163. #14583001C22semidirect
164. #14583000C22semidirect
165. #14582999C22semidirect
166. #14582997C22semidirect
167. #14582973C22semidirect
168. #14582972C22semidirect
169. #14582971C22semidirect
170. #14582970C22semidirect
171. #14582969C22semidirect
172. #14582968C22semidirect
173. #14582967C22semidirect
174. #14582955C22semidirect
175. #14582954C22semidirect
176. #14582904C22semidirect
177. #14582902C22semidirect
178. #14582901C22semidirect
179. #14582897C22semidirect
180. #14582896C22semidirect
181. #14582892C22semidirect
182. C2×#13063246C22semidirect
183. #102×D43C22semidirect
184. #14582867C22semidirect
185. #14582865C22semidirect
186. #14582864C22semidirect
187. #14582864C22semidirect
188. C2×AGL(1,ℤ/8)×C43C22semidirect
189. C22×SD16×C43C22semidirect
190. C43×#548C22semidirect
192. C43×#496C22semidirect
193. C43×#468C22semidirect
194. C43×#466C22semidirect
195. C43×#463C22semidirect
196. C43×#460C22semidirect
197. C43×#450C22semidirect
198. C43×#449C22semidirect
199. C43×#448C22semidirect
200. C43×#447C22semidirect
201. C43×#440C22semidirect
202. C43×#435C22semidirect
955. #3265D43semidirect
987. C2×AGL(1,ℤ/8)C2×D43semidirect
991. C22×SD16C2×D43semidirect
1002. #548C2×D43semidirect
1038. #496C2×D43semidirect
1066. #468C2×D43semidirect
1072. #466C2×D43semidirect
1080. #463C2×D43semidirect
1086. #460C2×D43semidirect
1111. #450C2×D43semidirect
1117. #449C2×D43semidirect
1119. #448C2×D43semidirect
1122. #447C2×D43semidirect
1130. #440C2×D43semidirect
1138. #435C2×D43semidirect
1153. C43#61670semidirect

Maximal subgroups

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

subgroupindex
#191489762
#191483512
#191467572
#191467442
#191466962
#191466932
#191466802
#191466712
#191466232
#191466162
#191461562
#191461512
#191461142
#191461132
#191461082
#191461052
#191460892
#191456272
#191456042
#191454942
#191454912
#191454732
#191454722
#191447322
#191446922
#191438982
#191438942
#191438682
#191438672
#191436632
C43×#32652
#6167043