Finite Group Databasebeta

← #25990377

Subgroups — #25990377

Order 11008.

1860 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149184C211yesmaximal, characteristic, complemented
2#19148520C211yesmaximal, characteristic, complemented
3#19147656C211yesmaximal, characteristic, complemented
4#19147606C211yesmaximal, characteristic, complemented
5#19147349C211yesmaximal, characteristic, complemented
6#19147239C211yesmaximal, characteristic, complemented
7#19146895C211yesmaximal, characteristic, complemented
8#19146863C211yesmaximal, characteristic, complemented
9#19146852C211yesmaximal, characteristic, complemented
10#19146723C211yesmaximal, characteristic, complemented
11#19146549C211yesmaximal, characteristic, complemented
12#19146440C211yesmaximal, characteristic, complemented
13#19146302C211yesmaximal, characteristic, complemented
14#19146211C211yesmaximal, characteristic, complemented
15#19146206C211yesmaximal, characteristic, complemented
16#19146200C211yesmaximal, characteristic, complemented
17#19146118C211yesmaximal, characteristic, complemented
18#19146039C211yesmaximal, characteristic, complemented
19#19145999C211yesmaximal, characteristic, complemented
20#19145992C211yesmaximal, characteristic, complemented
21#19145702C211yesmaximal, characteristic, complemented
22#19145640C211yesmaximal, characteristic, complemented
23#19145568C211yesmaximal, characteristic, complemented
24#19144832C211yesmaximal, characteristic, complemented
25#19144813C211yesmaximal, characteristic, complemented
26#19144643C211yesmaximal, characteristic, complemented
27#19144135C211yesmaximal, characteristic, complemented
28#19144104C211yesmaximal, characteristic, complemented
29#19144056C211yesmaximal, characteristic, complemented
30#19143737C211yesmaximal, characteristic, complemented
31C43×#3265C211yesmaximal, characteristic, complemented
32C2×#13063351C2211yescharacteristic
33C2×#13063351C2211yescharacteristic, complemented
34C2×#13063349C2211yescharacteristic
35C2×#13063346C2211yescharacteristic
36#14583643—21no—
37#14583637—21no—
38#14583635C2211yescharacteristic, complemented
39#14583634C2211yescharacteristic, complemented
40#14583618C2211yescharacteristic, complemented
41#14583608C2211yescharacteristic, complemented
42#14583599—21no—
43#14583596C2211yescharacteristic
44#14583592—21no—
45#14583589C2211yescharacteristic, complemented
46#14583580—21no—
47#14583580—21no—
48#14583576—21no—
49#14583570C2211yescharacteristic
50#14583560C2211yescharacteristic, complemented
51#14583551C2211yescharacteristic, complemented
52#14583549C2211yescharacteristic
53#14583546C2211yescharacteristic, complemented
54#14583543—21no—
55#14583543C2211yescharacteristic
56#14583543C2211yescharacteristic
57#14583537C2211yescharacteristic, complemented
58#14583516C2211yescharacteristic, complemented
59#14583507C2211yescharacteristic, complemented
60#14583503C2211yescharacteristic
61#14583502C2211yescharacteristic, complemented
62#14583499—21no—
63#14583495—21no—
64#14583494—21no—
65#14583484—21no—
66#14583483—21no—
67#14583482—21no—
68#14583473C2211yescharacteristic, complemented
69#14583467C2211yescharacteristic, complemented
70#14583445C2211yescharacteristic, complemented
71#14583435C2211yescharacteristic, complemented
72#14583430C2211yescharacteristic, complemented
73#14583429C2211yescharacteristic
74#14583405—21no—
75C2×#13063306—21no—
76#14583378C2211yescharacteristic
77#14583374C2211yescharacteristic, complemented
78C2×D4×Dic43C2211yescharacteristic, complemented
79#14583290C2211yescharacteristic, complemented
80#14583282C2211yescharacteristic, complemented
81#14583280C2211yescharacteristic, complemented
82#14583280C2211yescharacteristic, complemented
83#14583275C2211yescharacteristic
84#14583264C2211yescharacteristic, complemented
85#14583260C2211yescharacteristic, complemented
86#14583255C2211yescharacteristic, complemented
87#14583253C2211yescharacteristic, complemented
88#14583252C2211yescharacteristic, complemented
89#14583248C2211yescharacteristic, complemented
90#14583236C2211yescharacteristic, complemented
91#14583232C2211yescharacteristic, complemented
92#14583228C2211yescharacteristic, complemented
93#14583224C2211yescharacteristic, complemented
94#14583220C2211yescharacteristic, complemented
95#14583218C2211yescharacteristic, complemented
96#14583208C2211yescharacteristic, complemented
97#14583207C2211yescharacteristic, complemented
98#14583206C2211yescharacteristic, complemented
99#14583205C2211yescharacteristic, complemented
100#14583202C2211yescharacteristic, complemented
101#14583201C2211yescharacteristic, complemented
102#14583201C2211yescharacteristic, complemented
103#14583197C2211yescharacteristic, complemented
104#14583187C2211yescharacteristic, complemented
105#14583178C2211yescharacteristic, complemented
106#14583155C2211yescharacteristic, complemented
107#14583150C2211yescharacteristic
108#14583150C2211yescharacteristic, complemented
109#14583145C2211yescharacteristic, complemented
110#14583144C2211yescharacteristic, complemented
111#14583143C2211yescharacteristic, complemented
112#14583142C2211yescharacteristic, complemented
113#14583128C2211yescharacteristic, complemented
114#14583127C2211yescharacteristic, complemented
115#14583125C2211yescharacteristic, complemented
116#14583124C2211yescharacteristic, complemented
117#14583119C2211yescharacteristic, complemented
118#14583118C2211yescharacteristic, complemented
119#14583116C2211yescharacteristic
120#14583116C2211yescharacteristic
121#14583116C2211yescharacteristic, complemented
122#14583116C2211yescharacteristic, complemented
123#14583116C2211yescharacteristic, complemented
124#14583116C2211yescharacteristic, complemented
125#14583116C2211yescharacteristic, complemented
126#14583113C2211yescharacteristic, complemented
127#14583113C2211yescharacteristic, complemented
128#14583112C2211yescharacteristic
129#14583112C2211yescharacteristic, complemented
130#14583112C2211yescharacteristic, complemented
131#14583108C2211yescharacteristic, complemented
132#14583102C2211yescharacteristic, complemented
133#14583102C2211yescharacteristic, complemented
134#14583102C2211yescharacteristic, complemented
135#14583102C2211yescharacteristic, complemented
136#14583102C2211yescharacteristic, complemented
137#14583100C2211yescharacteristic, complemented
138#14583098C2211yescharacteristic, complemented
139#14583096C2211yescharacteristic, complemented
140#14583094C2211yescharacteristic
141#14583092C2211yescharacteristic
142#14583092C2211yescharacteristic, complemented
143#14583092C2211yescharacteristic, complemented
144#14583063C2211yescharacteristic, complemented
145#14583063C2211yescharacteristic, complemented
146#14583062C2211yescharacteristic
147#14583061C2211yescharacteristic, complemented
148#14583058C2211yescharacteristic
149#14583055C2211yescharacteristic, complemented
150#14583043C2211yescharacteristic, complemented
151#14583043C2211yescharacteristic, complemented
152#14583042C2211yescharacteristic
153#14583042C2211yescharacteristic, complemented
154#14583033C2211yescharacteristic
155#14583033C2211yescharacteristic, complemented
156#14583031C2211yescharacteristic, complemented
157#14583031C2211yescharacteristic, complemented
158#14583027C2211yescharacteristic, complemented
159#14583023C2211yescharacteristic, complemented
160#14583011C2211yescharacteristic, complemented
161#14583008C2211yescharacteristic, complemented
162#14583007C2211yescharacteristic, complemented
163C4×#10621885C2211yescharacteristic, complemented
164SD16×Dic43C2211yescharacteristic, complemented
165SD16×Dic43C2211yescharacteristic, complemented
166C4×#10621883C2211yescharacteristic, complemented
167D8×Dic43C2211yescharacteristic
168#14582979C2211yescharacteristic
169#14582979C2211yescharacteristic, complemented
170#14582979C2211yescharacteristic, complemented
171#14582977C2211yescharacteristic, complemented
172#14582975C2211yescharacteristic, complemented
173#14582974C2211yescharacteristic, complemented
174#14582973C2211yescharacteristic, complemented
175C8×C22⋊D43C2211yescharacteristic, complemented
176#14582961C2211yescharacteristic, complemented
177#14582957C2211yescharacteristic, complemented
178#14582949C2211yescharacteristic, complemented
179#14582925C2211yescharacteristic, complemented
180#14582924C2211yescharacteristic, complemented
181#14582922C2211yescharacteristic, complemented
182#14582908C2211yescharacteristic, complemented
183#14582901C2211yescharacteristic, complemented
184#14582900C2211yescharacteristic, complemented
185#14582899C2211yescharacteristic, complemented
186#14582896C2211yescharacteristic, complemented
187#102×D43C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
189C22×SD16×C43C2211yescharacteristic, complemented
190C43×#548C2211yescharacteristic
191D42×C43C2211yescharacteristic, complemented
192C43×#496C2211yescharacteristic
193C43×#468C2211yescharacteristic, complemented
194C43×#466C2211yescharacteristic
195C43×#463C2211yescharacteristic
196C43×#460C2211yescharacteristic, complemented
197C43×#450C2211yescharacteristic, complemented
198C43×#449C2211yescharacteristic
199C43×#448C2211yescharacteristic, complemented
200C43×#447C2211yescharacteristic
201C43×#440C2211yescharacteristic, complemented
202C43×#435C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C2×#10621900C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209C23×Dic43—21no—
210#13063351—42no—
211#13063351—42no—
212#13063349—42no—
213#13063346—42no—
214C2×Dic172C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621877C2311yescharacteristic
230C2×#10621877C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×C8×D43C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063323C2311yescharacteristic
235#13063323C2311yescharacteristic
236#13063322C2311yescharacteristic
237#13063321—21no—
238#13063321C2311yescharacteristic
239#13063320—21no—
240#13063320—21no—
241#13063320D411yescharacteristic
242#13063319—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318D411yescharacteristic
250#13063317—21no—
251#13063317C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063316C2311yescharacteristic
254#13063315—21no—
255#13063315—21no—
256#13063315D411yescharacteristic
257#13063314—21no—
258#13063314C2311yescharacteristic
259#13063314C2311yescharacteristic
260#13063314C2311yescharacteristic
261#13063313—21no—
262#13063312—21no—
263#13063312—21no—
264#13063312C2311yescharacteristic
265#13063312C2311yescharacteristic
266#13063312C2311yescharacteristic
267#13063311D411yescharacteristic
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063309—21no—
272#13063309—21no—
273#13063309D411yescharacteristic
274#13063308—21no—
275#13063308—21no—
276#13063308—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063306—21no—
282#13063306—21no—
283#13063306—21no—
284#13063306—21no—
285#13063306—21no—
286#13063306—21no—
287#13063306—21no—
288#13063306—21no—
289#13063306—21no—
290#13063306—21no—
291#13063306—21no—
292#13063306D411yescharacteristic
293#13063305C2311yescharacteristic
294#13063304—21no—
295#13063304C2311yescharacteristic
296#13063304C2311yescharacteristic
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302D411yescharacteristic
303#13063301—21no—
304#13063301—21no—
305#13063301—21no—
306#13063301C2311yescharacteristic
307#13063299—21no—
308#13063299C2311yescharacteristic
309#13063299C2311yescharacteristic
310#13063298—21no—
311#13063298—21no—
312#13063298—21no—
313#13063298—21no—
314#13063298—21no—
315#13063297—21no—
316#13063297—21no—
317#13063297—21no—
318#13063297—21no—
319#13063297—21no—
320#13063297—21no—
321#13063297—21no—
322#13063297—21no—
323#13063297D411yescharacteristic
324#13063296—21no—
325#13063296—21no—
326#13063296—21no—
327#13063296C2311yescharacteristic
328#13063296C2311yescharacteristic
329#13063295—21no—
330#13063295—21no—
331#13063294—21no—
332#13063294—21no—
333#13063293—21no—
334#13063293—21no—
335Q8×Dic43C2311yescharacteristic
336C4×Dic86C2311yescharacteristic
337C4×Dic86C2311yescharacteristic
338C4×Dic86C2311yescharacteristic
339#13063290C2311yescharacteristic
340C4×D172—21no—
341D4×Dic43—21no—
342D4×Dic43—21no—
343D4×Dic43—21no—
344D4×Dic43—21no—
345D4×Dic43—21no—
346D4×Dic43—21no—
347D4×Dic43C2311yescharacteristic
348D4×Dic43C2311yescharacteristic
349D4×Dic43C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351D4×Dic43C2311yescharacteristic
352D4×Dic43C2311yescharacteristic
353D4×Dic43C2311yescharacteristic
354D4×Dic43C2311yescharacteristic
355#13063287—21no—
356#13063287C2311yescharacteristic
357#13063287C2311yescharacteristic
358C4×C22⋊D43—21no—
359C4×C22⋊D43—21no—
360C4×C22⋊D43—21no—
361C4×C22⋊D43—21no—
362C4×C22⋊D43C2311yescharacteristic
363C4×C22⋊D43C2311yescharacteristic
364(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366(C22⋊D43)⋊C4—21no—
367#13063284C2311yescharacteristic
368#13063284C2311yescharacteristic
369#13063283—21no—
370#13063282C2311yescharacteristic
371#13063281—21no—
372#13063281—21no—
373#13063281—21no—
374#13063281—21no—
375C2×C4⋊Dic43C2311yescharacteristic
376C2×Dic43⋊C4—21no—
377C2×Dic43⋊C4—21no—
378C4⋊C4×D43—21no—
379C4⋊C4×D43C2311yescharacteristic
380C2×C22⋊Dic43—21no—
381C2×C22⋊Dic43—21no—
382C2×C22⋊Dic43—21no—
383C2×C22⋊Dic43—21no—
384C2×C22⋊Dic43—21no—
385C2×(C2×D43)⋊C4—21no—
386C22⋊C4×D43—21no—
387C2×C4×Dic43C2311yescharacteristic
388#13063259C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395C4⋊(C43⋊C8)C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063245C2311yescharacteristic
429#13063245C2311yescharacteristic
430C22⋊(C43⋊C8)C2311yescharacteristic
431C22⋊(C43⋊C8)C2311yescharacteristic
432(C2×D43)⋊C8C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C8×Dic43C2311yescharacteristic
439C2×#41×C43C2311yescharacteristic
440C22×Q8×C43C2311yescharacteristic
441C22×D4×C43—21no—
442C22×D4×C43C2311yescharacteristic
443C22×D4×C43C2311yescharacteristic
444AGL(1,ℤ/8)×C43—42no—
445C2×SD16×C43—42no—
446C2×SD16×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×SD16×C43C2311yescharacteristic
450C2×SD16×C43C2311yescharacteristic
451C2×SD16×C43C2311yescharacteristic
452C2×D8×C43C2311yescharacteristic
453C2×D8×C43C2311yescharacteristic
454C2×D8×C43C2311yescharacteristic
455C2×M16×C43C2311yescharacteristic
456C22×C8×C43C2311yescharacteristic
457#127×C43C2311yescharacteristic
458#124×C43—21no—
459#124×C43C2311yescharacteristic
460C22⋊Q8×C43—21no—
461C22⋊Q8×C43C2311yescharacteristic
462#121×C43—21no—
463#121×C43—21no—
464#121×C43C2311yescharacteristic
465#121×C43C2311yescharacteristic
466#121×C43C2311yescharacteristic
467#120×C43—21no—
468#120×C43—21no—
469C4×Q8×C43C2311yescharacteristic
470C4×D4×C43—21no—
471C4×D4×C43C2311yescharacteristic
472C4×D4×C43C2311yescharacteristic
473#107×C43C2311yescharacteristic
474C4⋊C8×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×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—
486C23×D43—21no—
487#41×C43—41no—
488#41×C43—41no—
489C2×Q8×C43—21no—
490C2×Q8×C43—41no—
491C2×Q8×C43—41no—
492C2×Q8×C43C2411yescharacteristic
493C2×Q8×C43C2411yescharacteristic
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—21no—
500C2×D4×C43—21no—
501C2×D4×C43—21no—
502C2×D4×C43—22no—
503C2×D4×C43—22no—
504C2×D4×C43—41no—
505C2×D4×C43—41no—
506C2×D4×C43—82no—
507C2×D4×C43C2×D411yescharacteristic
508C2×D4×C43C2411yescharacteristic
509C2×D4×C43C2411yescharacteristic
510C2×D4×C43C2411yescharacteristic
511C2×D4×C43C2411yescharacteristic
512C22×C4×C43—21no—
513C22×C4×C43—21no—
514C22×C4×C43—21no—
515C22×C4×C43C2411yescharacteristic
516C22×C4×C43C2411yescharacteristic
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⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43C2×D411yescharacteristic
528C2×C22⋊D43C2×D411yescharacteristic
529C22×Dic43—21no—
530C22×Dic43—21no—
531C22×Dic43—21no—
532C22×Dic43—21no—
533C22×Dic43—21no—
534C22×Dic43—21no—
535C22×Dic43—21no—
536C22×Dic43—21no—
537C22×Dic43—21no—
538C22×Dic43—21no—
539C22×Dic43—82no—
540C22×Dic43C2×D411yescharacteristic
541C22×Dic43C2×D411yescharacteristic
542#10621902—41no—
543#10621902—41no—
544#10621900—22no—
545#10621900—41no—
546#10621900—82no—
547D4×D43—41no—
548D4×D43—41no—
549#10621898—41no—
550#10621898—41no—
551#10621898—41no—
552#10621898—41no—
553C2×D172—21no—
554C2×D172—21no—
555C2×D172—21no—
556C2×D172C2411yescharacteristic
557C2×D172C2411yescharacteristic
558C2×C4×D43—21no—
559C2×C4×D43—21no—
560C2×C4×D43—21no—
561C2×C4×D43—21no—
562C2×C4×D43—21no—
563C2×C4×D43—21no—
564C2×C4×D43C2411yescharacteristic
565C2×Dic86—21no—
566C2×Dic86C2×D411yescharacteristic
567C2×Dic86C2411yescharacteristic
568C2×Dic86C2411yescharacteristic
569SD16×C43—22no—
570SD16×C43—22no—
571SD16×C43—41no—
572SD16×C43—41no—
573SD16×C43—41no—
574SD16×C43—41no—
575D8×C43—22no—
576D8×C43—41no—
577D8×C43—41no—
578M16×C43—41no—
579C2×C8×C43—41no—
580C2×C8×C43C2411yescharacteristic
581C2×C8×C43C2411yescharacteristic
582C2×C8×C43C2411yescharacteristic
583C2×C8×C43C2411yescharacteristic
584C4⋊C4×C43—21no—
585C4⋊C4×C43—21no—
586C4⋊C4×C43C2×D411yescharacteristic
587C4⋊C4×C43C2411yescharacteristic
588C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
596C22⋊C4×C43C2×D411yescharacteristic
597C22⋊C4×C43C2×D411yescharacteristic
598C42×C43—21no—
599C42×C43C2411yescharacteristic
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⋊Dic43—21no—
617C22⋊Dic43—21no—
618C22⋊Dic43—21no—
619C22⋊Dic43C2×D411yescharacteristic
620C22⋊Dic43C2×D411yescharacteristic
621C22⋊Dic43C2×D411yescharacteristic
622C22⋊Dic43C2×D411yescharacteristic
623#10621885—41no—
624#10621885—41no—
625#10621883—22no—
626#10621883—41no—
627#10621883—41no—
628#10621883—41no—
629#10621882—22no—
630#10621882—22no—
631#10621882—41no—
632#10621882—41no—
633#10621882—41no—
634#10621882—41no—
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)⋊C4—21no—
645(C2×D43)⋊C4—21no—
646(C2×D43)⋊C4—21no—
647(C2×D43)⋊C4C2×D411yescharacteristic
648(C2×D43)⋊C4C2×D411yescharacteristic
649(C2×D43)⋊C4C2×D411yescharacteristic
650(C2×D43)⋊C4C2×D411yescharacteristic
651C4⋊Dic43—21no—
652C4⋊Dic43—21no—
653C4⋊Dic43—21no—
654C4⋊Dic43—21no—
655C4⋊Dic43—21no—
656C4⋊Dic43C2×D411yescharacteristic
657C4⋊Dic43C2×D411yescharacteristic
658C4⋊Dic43C2×D411yescharacteristic
659C4⋊Dic43C2411yescharacteristic
660C4⋊Dic43C2411yescharacteristic
661C4⋊Dic43C2411yescharacteristic
662C4⋊Dic43C2411yescharacteristic
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4—21no—
669Dic43⋊C4—21no—
670Dic43⋊C4—21no—
671Dic43⋊C4—21no—
672Dic43⋊C4—21no—
673Dic43⋊C4—21no—
674Dic43⋊C4—21no—
675Dic43⋊C4—21no—
676Dic43⋊C4—21no—
677Dic43⋊C4—21no—
678Dic43⋊C4—21no—
679Dic43⋊C4C2×D411yescharacteristic
680Dic43⋊C4C2×D411yescharacteristic
681Dic43⋊C4C2×D411yescharacteristic
682Dic43⋊C4C2×D411yescharacteristic
683Dic43⋊C4C2×D411yescharacteristic
684Dic43⋊C4C2×D411yescharacteristic
685C4×Dic43—21no—
686C4×Dic43—21no—
687C4×Dic43—21no—
688C4×Dic43—21no—
689C4×Dic43—21no—
690C4×Dic43C2×D411yescharacteristic
691C4×Dic43C2×D411yescharacteristic
692C4×Dic43C2411yescharacteristic
693C4×Dic43C2411yescharacteristic
694C4×Dic43C2411yescharacteristic
695#10621877—41no—
696#10621877—41no—
697C2×C43⋊C8C2411yescharacteristic
698C2×C43⋊C8C2411yescharacteristic
699C2×C43⋊C8C2411yescharacteristic
700C2×C43⋊C8C2411yescharacteristic
701Dic172—41no—
702#10621873—41no—
703#10621873—41no—
704#10621872—41no—
705C8×D43—41no—
706C23×C43—21no—
707C23×C43—21no—
708C23×C43—21no—
709C23×C43—21no—
710C23×C43—42no—
711C23×C43—42no—
712C23×C43—42no—
713C23×C43—81no—
714C23×C43—81no—
715C23×C43—81no—
716C23×C43C22×D411yescharacteristic
717C23×C43C22×D411yescharacteristic
718C22×D43—21no—
719C22×D43—21no—
720C22×D43—81no—
721C22×D43—81no—
722C22×D43—81no—
723C22×D43C22×D411yescharacteristic
724Q8×C43—21no—
725Q8×C43—21no—
726Q8×C43—21no—
727Q8×C43—21no—
728Q8×C43—81no—
729D4×C43—21no—
730D4×C43—21no—
731D4×C43—21no—
732D4×C43—21no—
733D4×C43—21no—
734D4×C43—21no—
735D4×C43—21no—
736D4×C43—41no—
737D4×C43—42no—
738D4×C43—42no—
739D4×C43—42no—
740D4×C43—81no—
741D4×C43—81no—
742D4×C43—81no—
743D4×C43—81no—
744D4×C43—81no—
745D4×C43H(5,𝔽2)12yes—
746C2×C4×C43—21no—
747C2×C4×C43—21no—
748C2×C4×C43—21no—
749C2×C4×C43—21no—
750C2×C4×C43—21no—
751C2×C4×C43—21no—
752C2×C4×C43—21no—
753C2×C4×C43—21no—
754C2×C4×C43—81no—
755C2×C4×C43—81no—
756C2×C4×C43—81no—
757C2×C4×C43C22×D411yescharacteristic
758C2×C4×C43C22×D411yescharacteristic
759C2×C4×C43C22×D411yescharacteristic
760C2×C4×C43C22×D411yescharacteristic
761C2×C4×C43C2511yescharacteristic
762C22⋊D43—41no—
763C22⋊D43—41no—
764C22⋊D43—42no—
765C22⋊D43—81no—
766C22⋊D43—81no—
767C22⋊D43—81no—
768C22⋊D43—81no—
769C22⋊D43—81no—
770C22⋊D43—81no—
771C22⋊D43—81no—
772C22⋊D43—81no—
773C22⋊D43—81no—
774C2×Dic43—21no—
775C2×Dic43—21no—
776C2×Dic43—21no—
777C2×Dic43—21no—
778C2×Dic43—21no—
779C2×Dic43—21no—
780C2×Dic43—41no—
781C2×Dic43—41no—
782C2×Dic43—42no—
783C2×Dic43—42no—
784C2×Dic43—81no—
785C2×Dic43—81no—
786C2×Dic43—81no—
787C2×Dic43—81no—
788C2×Dic43—81no—
789C2×Dic43—81no—
790C2×Dic43—81no—
791C2×Dic43—81no—
792C2×Dic43C22×D411yescharacteristic
793C2×Dic43C22×D411yescharacteristic
794C2×Dic43C22×D411yescharacteristic
795C2×Dic43C22×D411yescharacteristic
796C2×Dic43C22×D411yescharacteristic
797C2×Dic43C22×D411yescharacteristic
798C2×Dic43C22×D411yescharacteristic
799D172—21no—
800D172—21no—
801D172—21no—
802D172—21no—
803D172—81no—
804D172—81no—
805D172—81no—
806C4×D43—21no—
807C4×D43—21no—
808C4×D43—81no—
809C4×D43—81no—
810C4×D43—81no—
811C4×D43—81no—
812C4×D43—81no—
813C4×D43—81no—
814Dic86—21no—
815Dic86—21no—
816Dic86—21no—
817Dic86—21no—
818Dic86—41no—
819Dic86—81no—
820C8×C43—21no—
821C8×C43—21no—
822C8×C43—21no—
823C8×C43—21no—
824C43⋊C8—21no—
825C43⋊C8—21no—
826C43⋊C8—21no—
827C43⋊C8—21no—
828#62027—431nomaximal, Sylow
829C22×C43—21no—
830C22×C43—21no—
831C22×C43—21no—
832C22×C43—21no—
833C22×C43—22no—
834C22×C43—21no—
835C22×C43—21no—
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—84no—
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—
859C2×D43—162no—
860C4×C43—21no—
861C4×C43—21no—
862C4×C43—21no—
863C4×C43—21no—
864C4×C43—41no—
865C4×C43—41no—
866C4×C43—41no—
867C4×C43—41no—
868C4×C43C2×H(5,𝔽2)11yescharacteristic
869C4×C43#58511yescharacteristic
870Dic43—21no—
871Dic43—21no—
872Dic43—21no—
873Dic43—21no—
874Dic43—21no—
875Dic43—21no—
876Dic43—21no—
877Dic43—41no—
878Dic43—41no—
879Dic43—41no—
880Dic43—41no—
881Dic43—41no—
882Dic43—41no—
883#3562—431no—
884#3513—431no—
885#3401—431no—
886#3396—431no—
887#3370—431no—
888#3360—431no—
889#3330—431no—
890#3327—431no—
891#3326—431no—
892#3317—431no—
893#3306—431no—
894#3297—431no—
895#3282—431no—
896#3274—431no—
897#3273—431no—
898#3273—431no—
899#3267—431no—
900#3265D4311yescharacteristic, complemented
901#3260—431no—
902#3257—431no—
903#3256—431no—
904#3225—431no—
905#3220—431no—
906#3212—431no—
907#3122—431no—
908#3120—431no—
909#3105—431no—
910#3045—431no—
911#3042—431no—
912#3036—431no—
913#2993—431no—
914C2×C43—41no—
915C2×C43—41no—
916C2×C43—42no—
917C2×C43—81no—
918C2×C43—81no—
919C2×C43—81no—
920C2×C43#348811yescharacteristic
921C2×C43#358411yescharacteristic
922C2×C43#358511yescharacteristic
923D43—41no—
924D43—81no—
925D43—81no—
926C2×AGL(1,ℤ/8)—431no—
927C2×AGL(1,ℤ/8)—431no—
928C2×AGL(1,ℤ/8)—431no—
929C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
930C2×#135—431no—
931C22×SD16C2×D4311yescharacteristic, complemented
932#562—861no—
933#560—861no—
934#559—431no—
935#559—431no—
936#556—431no—
937#554—431no—
938#553—431no—
939#553—861no—
940#553—861no—
941#552—431no—
942#551—861no—
943#551—861no—
944#551—861no—
945#550—431no—
946#548—431no—
947#548C2×D4311yescharacteristic
948#547—431no—
949#547—431no—
950#546—431no—
951#546—431no—
952#546—431no—
953#546—431no—
954#546—861no—
955D42C2×D4311yescharacteristic, complemented
956#542—431no—
957#541—431no—
958#540—431no—
959#540—431no—
960#540—861no—
961#539—861no—
962#539—861no—
963#538—861no—
964#538—861no—
965#538—861no—
966#536—431no—
967#535—431no—
968#532—431no—
969#529—431no—
970#529—431no—
971#529—431no—
972#525—861no—
973C2×#123—861no—
974#520—431no—
975#518—431no—
976C2×C4×D4—431no—
977#497—431no—
978#496C2×D4311yescharacteristic
979#495—431no—
980#495—431no—
981#495—431no—
982#493—431no—
983#490—431no—
984#489—431no—
985#488—431no—
986#488—431no—
987#488—431no—
988#487—431no—
989#484—431no—
990#484—431no—
991#483—431no—
992#482—431no—
993#482—431no—
994#481—431no—
995#479—431no—
996#479—431no—
997#479—431no—
998#479—431no—
999#478—431no—
1000#478—431no—
1001#478—431no—
1002#478—431no—
1003#476—431no—
1004#474—431no—
1005#470—431no—
1006#469—431no—
1007#469—431no—
1008#468—431no—
1009#468—431no—
1010#468—431no—
1011#468—431no—
1012#468C2×D4311yescharacteristic, complemented
1013#466C2×D4311yescharacteristic
1014#465—431no—
1015#465—431no—
1016#465—431no—
1017#464—431no—
1018#464—431no—
1019#464—431no—
1020#463—431no—
1021#463—431no—
1022#463—431no—
1023#463—431no—
1024#463—431no—
1025#463—431no—
1026#463—431no—
1027#463—431no—
1028#463—431no—
1029#463—431no—
1030#463—431no—
1031#463—431no—
1032#463C2×D4311yescharacteristic
1033#462—431no—
1034#461—431no—
1035#461—431no—
1036#461—431no—
1037#461—431no—
1038#461—431no—
1039#460—431no—
1040#460—431no—
1041#460—431no—
1042#460C2×D4311yescharacteristic, complemented
1043#459—431no—
1044#459—431no—
1045#459—431no—
1046#459—431no—
1047#452—431no—
1048#452—431no—
1049#452—431no—
1050#452—431no—
1051#452—431no—
1052#451—431no—
1053#450C2×D4311yescharacteristic, complemented
1054#449—431no—
1055#449—431no—
1056#449—431no—
1057#449—431no—
1058#449C2×D4311yescharacteristic
1059#448C2×D4311yescharacteristic, complemented
1060#447—431no—
1061#447—431no—
1062#447—431no—
1063#447—431no—
1064#447C2×D4311yescharacteristic
1065#446—431no—
1066C8×Q8—431no—
1067#442—431no—
1068#442—431no—
1069#441—431no—
1070#440C2×D4311yescharacteristic, complemented
1071C4×Q16—431no—
1072C4×SD16—431no—
1073C4×SD16—431no—
1074C4×SD16—431no—
1075C4×D8—431no—
1076C4×D8—431no—
1077C4×D8—431no—
1078C4×D8—431no—
1079#436—431no—
1080#436—431no—
1081#436—431no—
1082#435—431no—
1083#435C2×D4311yescharacteristic, complemented
1084C8×D4—431no—
1085#433—431no—
1086#433—431no—
1087#431—431no—
1088#424—431no—
1089#424—431no—
1090#423—431no—
1091#419—431no—
1092#417—431no—
1093#417—431no—
1094#417—431no—
1095#416—431no—
1096C2×#102—431no—
1097C43#6202711yescharacteristic, complemented, Sylow
1098C2×#41—431no—
1099C2×#41—431no—
1100C2×#41—431no—
1101C2×#41—431no—
1102C2×#41—861no—
1103C2×#41C22×D4311yescharacteristic
1104C22×Q8C22×D4311yescharacteristic
1105C22×D4—21no—
1106C22×D4—431no—
1107C22×D4C22×D4311yescharacteristic
1108C22×D4C22×D4311yescharacteristic
1109C23×C4—861no—
1110AGL(1,ℤ/8)—42no—
1111AGL(1,ℤ/8)—1722no—
1112AGL(1,ℤ/8)—1722no—
1113AGL(1,ℤ/8)—1722no—
1114#135—1722no—
1115C2×Q16—431no—
1116C2×Q16—431no—
1117C2×Q16—431no—
1118C2×SD16—42no—
1119C2×SD16—431no—
1120C2×SD16—431no—
1121C2×SD16—431no—
1122C2×SD16—431no—
1123C2×SD16—431no—
1124C2×SD16—431no—
1125C2×SD16C22×D4311yescharacteristic
1126C2×SD16C22×D4311yescharacteristic
1127C2×SD16C22×D4311yescharacteristic
1128C2×SD16C22×D4311yescharacteristic
1129C2×SD16C22×D4311yescharacteristic
1130C2×SD16C22×D4311yescharacteristic
1131C2×D8—431no—
1132C2×D8—431no—
1133C2×D8—431no—
1134C2×D8—431no—
1135C2×D8—431no—
1136C2×D8—431no—
1137C2×D8C22×D4311yescharacteristic
1138C2×D8C22×D4311yescharacteristic
1139C2×D8C22×D4311yescharacteristic
1140C2×M16—431no—
1141C2×M16—431no—
1142C2×M16—431no—
1143C2×M16C22×D4311yescharacteristic
1144C22×C8—431no—
1145C22×C8C22×D4311yescharacteristic
1146C4⋊Q8—431no—
1147C4⋊Q8—431no—
1148C4⋊Q8—431no—
1149#127—431no—
1150#127—431no—
1151#127—861no—
1152#127C22×D4311yescharacteristic
1153#126—431no—
1154#126—431no—
1155#126—861no—
1156#126—861no—
1157#126—861no—
1158#126—861no—
1159#126—861no—
1160#126—861no—
1161#126—861no—
1162#126—861no—
1163#126—861no—
1164#125—431no—
1165#125—431no—
1166#125—431no—
1167#125—431no—
1168#125—861no—
1169#125—861no—
1170#125—861no—
1171#124—21no—
1172#124—431no—
1173#124—431no—
1174#124—431no—
1175#124—431no—
1176#124—431no—
1177#124—431no—
1178#124—431no—
1179#124—861no—
1180#124—861no—
1181#124—861no—
1182#124—861no—
1183#124C22×D4311yescharacteristic
1184#123—431no—
1185#123—431no—
1186#123—861no—
1187#123—861no—
1188#123—861no—
1189#123—861no—
1190#123—861no—
1191#123—861no—
1192#123—861no—
1193#123—861no—
1194#123—861no—
1195#123—861no—
1196#123—861no—
1197#123—861no—
1198#123—861no—
1199#123—861no—
1200#123—861no—
1201#123—861no—
1202#123—861no—
1203#123—861no—
1204#123—861no—
1205#123—861no—
1206#123—861no—
1207#123—861no—
1208#123—861no—
1209C22⋊Q8—21no—
1210C22⋊Q8—431no—
1211C22⋊Q8—431no—
1212C22⋊Q8—431no—
1213C22⋊Q8—431no—
1214C22⋊Q8—431no—
1215C22⋊Q8—861no—
1216C22⋊Q8—861no—
1217C22⋊Q8—861no—
1218C22⋊Q8—861no—
1219C22⋊Q8—861no—
1220C22⋊Q8—861no—
1221C22⋊Q8—861no—
1222C22⋊Q8—861no—
1223C22⋊Q8—861no—
1224C22⋊Q8C22×D4311yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—431no—
1228#121—431no—
1229#121—431no—
1230#121—431no—
1231#121—431no—
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#121—861no—
1248#121—861no—
1249#121C22×D4311yescharacteristic
1250#121C22×D4311yescharacteristic
1251#121C22×D4311yescharacteristic
1252#120—21no—
1253#120—21no—
1254#120—861no—
1255#120—861no—
1256#120—861no—
1257#120—861no—
1258#120—861no—
1259#120—861no—
1260C4×Q8—431no—
1261C4×Q8—431no—
1262C4×Q8—431no—
1263C4×Q8—431no—
1264C4×Q8—431no—
1265C4×Q8C22×D4311yescharacteristic
1266C4×D4—21no—
1267C4×D4—431no—
1268C4×D4—431no—
1269C4×D4—431no—
1270C4×D4—431no—
1271C4×D4—431no—
1272C4×D4—431no—
1273C4×D4—431no—
1274C4×D4—431no—
1275C4×D4—431no—
1276C4×D4—431no—
1277C4×D4—431no—
1278C4×D4—431no—
1279C4×D4—861no—
1280C4×D4—861no—
1281C4×D4—861no—
1282C4×D4—861no—
1283C4×D4—861no—
1284C4×D4—861no—
1285C4×D4—861no—
1286C4×D4—861no—
1287C4×D4—861no—
1288C4×D4—861no—
1289C4×D4—861no—
1290C4×D4—861no—
1291C4×D4—861no—
1292C4×D4—861no—
1293C4×D4—861no—
1294C4×D4C22×D4311yescharacteristic
1295C4×D4C22×D4311yescharacteristic
1296#117—431no—
1297#117—431no—
1298#117—431no—
1299#117—861no—
1300#117—861no—
1301#117—861no—
1302#117—861no—
1303#117—861no—
1304C2×C4⋊C4—431no—
1305C2×C4⋊C4—431no—
1306C2×C4⋊C4—861no—
1307C2×C4⋊C4—861no—
1308C2×C4⋊C4—861no—
1309C2×C22⋊C4—861no—
1310C2×C22⋊C4—861no—
1311C2×C22⋊C4—861no—
1312C2×C22⋊C4—861no—
1313C2×C22⋊C4—861no—
1314C2×C22⋊C4—861no—
1315C2×C22⋊C4—861no—
1316C2×C42—431no—
1317#107—431no—
1318#107—431no—
1319#107—431no—
1320#107C22×D4311yescharacteristic
1321#106—431no—
1322#106—431no—
1323#106—431no—
1324#106—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⋊C8—431no—
1334C4⋊C8C22×D4311yescharacteristic
1335#103—431no—
1336#103—431no—
1337#103—431no—
1338#103—431no—
1339#103—431no—
1340#103—431no—
1341#103—431no—
1342#103—431no—
1343#103—431no—
1344#103—431no—
1345#103—431no—
1346#103—431no—
1347#103C22×D4311yescharacteristic
1348#103C22×D4311yescharacteristic
1349#102—431no—
1350#102—431no—
1351#102—431no—
1352#102—431no—
1353#102—431no—
1354#102—431no—
1355#102—431no—
1356#102—431no—
1357#102—431no—
1358#102—431no—
1359#102—431no—
1360#102—431no—
1361#102—431no—
1362#102—431no—
1363#102C22×D4311yescharacteristic
1364#102C22×D4311yescharacteristic
1365#102C22×D4311yescharacteristic
1366#102C22×D4311yescharacteristic
1367C22⋊C8—431no—
1368C22⋊C8—431no—
1369C22⋊C8—431no—
1370C22⋊C8—431no—
1371C22⋊C8C22×D4311yescharacteristic
1372C22⋊C8C22×D4311yescharacteristic
1373#97—431no—
1374#97C22×D4311yescharacteristic
1375C4×C8—431no—
1376C4×C8—431no—
1377C4×C8—431no—
1378C4×C8—431no—
1379C24—21no—
1380C24—21no—
1381C24—861no—
1382#41—41no—
1383#41—41no—
1384#41—862no—
1385#41—3442no—
1386#41—1721no—
1387#41—1721no—
1388#41—1721no—
1389#41—1721no—
1390#41—1721no—
1391#41—1721no—
1392#41—1721no—
1393C2×Q8—21no—
1394C2×Q8—41no—
1395C2×Q8—41no—
1396C2×Q8—431no—
1397C2×Q8—431no—
1398C2×Q8—431no—
1399C2×Q8—861no—
1400C2×Q8C23×D4311yescharacteristic
1401C2×Q8C23×D4311yescharacteristic
1402C2×D4—22no—
1403C2×D4—22no—
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—82no—
1415C2×D4—431no—
1416C2×D4—431no—
1417C2×D4—431no—
1418C2×D4—431no—
1419C2×D4—861no—
1420C2×D4—861no—
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—1721no—
1433C2×D4—1721no—
1434C2×D4D4×D4311yescharacteristic
1435C2×D4C23×D4311yescharacteristic
1436C2×D4C23×D4311yescharacteristic
1437C2×D4C23×D4311yescharacteristic
1438C2×D4C23×D4311yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—431no—
1443C22×C4—431no—
1444C22×C4—431no—
1445C22×C4—861no—
1446C22×C4—861no—
1447C22×C4—861no—
1448C22×C4—861no—
1449C22×C4—861no—
1450C22×C4—861no—
1451C22×C4—861no—
1452C22×C4—861no—
1453C22×C4—861no—
1454C22×C4—861no—
1455C22×C4—861no—
1456C22×C4—861no—
1457C22×C4—861no—
1458C22×C4—861no—
1459C22×C4—861no—
1460C22×C4—861no—
1461C22×C4—3442no—
1462C22×C4C23×D4311yescharacteristic
1463C22×C4C23×D4311yescharacteristic
1464Q16—1721no—
1465Q16—1721no—
1466Q16—1721no—
1467SD16—22no—
1468SD16—22no—
1469SD16—41no—
1470SD16—41no—
1471SD16—41no—
1472SD16—41no—
1473SD16—862no—
1474SD16—1721no—
1475SD16—1721no—
1476SD16—1721no—
1477SD16—1721no—
1478SD16—1721no—
1479D8—22no—
1480D8—41no—
1481D8—41no—
1482D8—862no—
1483D8—862no—
1484D8—1721no—
1485D8—1721no—
1486D8—1721no—
1487D8—1721no—
1488M16—41no—
1489M16—1721no—
1490M16—1721no—
1491M16—1721no—
1492C2×C8—41no—
1493C2×C8—431no—
1494C2×C8—431no—
1495C2×C8—431no—
1496C2×C8—431no—
1497C2×C8—1721no—
1498C2×C8C23×D4311yescharacteristic
1499C2×C8C23×D4311yescharacteristic
1500C2×C8C23×D4311yescharacteristic
1501C2×C8C23×D4311yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—431no—
1505C4⋊C4—431no—
1506C4⋊C4—431no—
1507C4⋊C4—431no—
1508C4⋊C4—431no—
1509C4⋊C4—431no—
1510C4⋊C4—431no—
1511C4⋊C4—431no—
1512C4⋊C4—431no—
1513C4⋊C4—431no—
1514C4⋊C4—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⋊C4—861no—
1536C4⋊C4—861no—
1537C4⋊C4—861no—
1538C4⋊C4D4×D4311yescharacteristic
1539C4⋊C4C23×D4311yescharacteristic
1540C4⋊C4C23×D4311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—431no—
1549C22⋊C4—431no—
1550C22⋊C4—431no—
1551C22⋊C4—431no—
1552C22⋊C4—431no—
1553C22⋊C4—431no—
1554C22⋊C4—431no—
1555C22⋊C4—431no—
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⋊C4—861no—
1583C22⋊C4—861no—
1584C22⋊C4—861no—
1585C22⋊C4—861no—
1586C22⋊C4—861no—
1587C22⋊C4D4×D4311yescharacteristic
1588C22⋊C4D4×D4311yescharacteristic
1589C42—21no—
1590C42—431no—
1591C42—431no—
1592C42—431no—
1593C42—431no—
1594C42—431no—
1595C42—861no—
1596C42—861no—
1597C42—861no—
1598C42—861no—
1599C42—861no—
1600C42C23×D4311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—42no—
1606C23—42no—
1607C23—42no—
1608C23—81no—
1609C23—81no—
1610C23—81no—
1611C23—431no—
1612C23—861no—
1613C23—861no—
1614C23—3441no—
1615C23—3441no—
1616C23—3441no—
1617C23C2×D4×D4311yescharacteristic
1618C23C2×D4×D4311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—81no—
1624Q8—861no—
1625Q8—861no—
1626Q8—861no—
1627Q8—861no—
1628Q8—3441no—
1629Q8—1721no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—41no—
1638D4—42no—
1639D4—42no—
1640D4—42no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—81no—
1646D4—861no—
1647D4—861no—
1648D4—861no—
1649D4—861no—
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—1721no—
1663D4—1721no—
1664D4—1722no—
1665D4#1306337012yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—431no—
1678C2×C4—431no—
1679C2×C4—431no—
1680C2×C4—431no—
1681C2×C4—431no—
1682C2×C4—431no—
1683C2×C4—431no—
1684C2×C4—861no—
1685C2×C4—861no—
1686C2×C4—861no—
1687C2×C4—861no—
1688C2×C4—861no—
1689C2×C4—861no—
1690C2×C4—861no—
1691C2×C4—861no—
1692C2×C4—3441no—
1693C2×C4—3441no—
1694C2×C4—3441no—
1695C2×C4—3441no—
1696C2×C4—3441no—
1697C2×C4—3441no—
1698C2×C4—3441no—
1699C2×C4—3441no—
1700C2×C4—3441no—
1701C2×C4—3441no—
1702C2×C4—3441no—
1703C2×C4—3441no—
1704C2×C4—3441no—
1705C2×C4—3441no—
1706C2×C4—1721no—
1707C2×C4—1721no—
1708C2×C4—1722no—
1709C2×C4—1722no—
1710C2×C4C2×D4×D4311yescharacteristic
1711C2×C4C2×D4×D4311yescharacteristic
1712C2×C4C2×D4×D4311yescharacteristic
1713C2×C4C2×D4×D4311yescharacteristic
1714C2×C4C24×D4311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—861no—
1720C8—861no—
1721C8—861no—
1722C8—861no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—22no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—84no—
1742C22—162no—
1743C22—861no—
1744C22—861no—
1745C22—861no—
1746C22—1721no—
1747C22—1721no—
1748C22—1721no—
1749C22—1721no—
1750C22—1721no—
1751C22—1721no—
1752C22—6882no—
1753C22C22×D4×D4311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—861no—
1763C4—861no—
1764C4—861no—
1765C4—861no—
1766C4—861no—
1767C4—861no—
1768C4—861no—
1769C4—1721no—
1770C4—1721no—
1771C4—1721no—
1772C4—1721no—
1773C4—1721no—
1774C4—1721no—
1775C4C2×#1306337011yescharacteristic
1776C4#1458373411yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—42no—
1780C2—81no—
1781C2—81no—
1782C2—81no—
1783C2—3441no—
1784C2—3441no—
1785C2—1721no—
1786C2#1914825511yescharacteristic
1787C2#1914936711yescharacteristic
1788C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3265C2
socleC22×C43C23×D4
hypercenter#3265D43
hypocenterC43#62027
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. #19149184C2semidirect
2. #19148520C2semidirect
3. #19147656C2semidirect
4. #19147606C2semidirect
5. #19147349C2semidirect
6. #19147239C2semidirect
7. #19146895C2semidirect
8. #19146863C2semidirect
9. #19146852C2semidirect
10. #19146723C2semidirect
11. #19146549C2semidirect
12. #19146440C2semidirect
13. #19146302C2semidirect
14. #19146211C2semidirect
15. #19146206C2semidirect
16. #19146200C2semidirect
17. #19146118C2semidirect
18. #19146039C2semidirect
19. #19145999C2semidirect
20. #19145992C2semidirect
21. #19145702C2semidirect
22. #19145640C2semidirect
23. #19145568C2semidirect
24. #19144832C2semidirect
25. #19144813C2semidirect
26. #19144643C2semidirect
27. #19144135C2semidirect
28. #19144104C2semidirect
29. #19144056C2semidirect
30. #19143737C2semidirect
31. C43×#3265C2semidirect
33. C2×#13063351C22semidirect
38. #14583635C22semidirect
39. #14583634C22semidirect
40. #14583618C22semidirect
41. #14583608C22semidirect
45. #14583589C22semidirect
50. #14583560C22semidirect
51. #14583551C22semidirect
53. #14583546C22semidirect
57. #14583537C22semidirect
58. #14583516C22semidirect
59. #14583507C22semidirect
61. #14583502C22semidirect
68. #14583473C22semidirect
69. #14583467C22semidirect
70. #14583445C22semidirect
71. #14583435C22semidirect
72. #14583430C22semidirect
77. #14583374C22semidirect
78. C2×D4×Dic43C22semidirect
79. #14583290C22semidirect
80. #14583282C22semidirect
81. #14583280C22semidirect
82. #14583280C22semidirect
84. #14583264C22semidirect
85. #14583260C22semidirect
86. #14583255C22semidirect
87. #14583253C22semidirect
88. #14583252C22semidirect
89. #14583248C22semidirect
90. #14583236C22semidirect
91. #14583232C22semidirect
92. #14583228C22semidirect
93. #14583224C22semidirect
94. #14583220C22semidirect
95. #14583218C22semidirect
96. #14583208C22semidirect
97. #14583207C22semidirect
98. #14583206C22semidirect
99. #14583205C22semidirect
100. #14583202C22semidirect
101. #14583201C22semidirect
102. #14583201C22semidirect
103. #14583197C22semidirect
104. #14583187C22semidirect
105. #14583178C22semidirect
106. #14583155C22semidirect
108. #14583150C22semidirect
109. #14583145C22semidirect
110. #14583144C22semidirect
111. #14583143C22semidirect
112. #14583142C22semidirect
113. #14583128C22semidirect
114. #14583127C22semidirect
115. #14583125C22semidirect
116. #14583124C22semidirect
117. #14583119C22semidirect
118. #14583118C22semidirect
121. #14583116C22semidirect
122. #14583116C22semidirect
123. #14583116C22semidirect
124. #14583116C22semidirect
125. #14583116C22semidirect
126. #14583113C22semidirect
127. #14583113C22semidirect
129. #14583112C22semidirect
130. #14583112C22semidirect
131. #14583108C22semidirect
132. #14583102C22semidirect
133. #14583102C22semidirect
134. #14583102C22semidirect
135. #14583102C22semidirect
136. #14583102C22semidirect
137. #14583100C22semidirect
138. #14583098C22semidirect
139. #14583096C22semidirect
142. #14583092C22semidirect
143. #14583092C22semidirect
144. #14583063C22semidirect
145. #14583063C22semidirect
147. #14583061C22semidirect
149. #14583055C22semidirect
150. #14583043C22semidirect
151. #14583043C22semidirect
153. #14583042C22semidirect
155. #14583033C22semidirect
156. #14583031C22semidirect
157. #14583031C22semidirect
158. #14583027C22semidirect
159. #14583023C22semidirect
160. #14583011C22semidirect
161. #14583008C22semidirect
162. #14583007C22semidirect
163. C4×#10621885C22semidirect
164. SD16×Dic43C22semidirect
165. SD16×Dic43C22semidirect
166. C4×#10621883C22semidirect
169. #14582979C22semidirect
170. #14582979C22semidirect
171. #14582977C22semidirect
172. #14582975C22semidirect
173. #14582974C22semidirect
174. #14582973C22semidirect
175. C8×C22⋊D43C22semidirect
176. #14582961C22semidirect
177. #14582957C22semidirect
178. #14582949C22semidirect
179. #14582925C22semidirect
180. #14582924C22semidirect
181. #14582922C22semidirect
182. #14582908C22semidirect
183. #14582901C22semidirect
184. #14582900C22semidirect
185. #14582899C22semidirect
186. #14582896C22semidirect
187. #102×D43C22semidirect
189. C22×SD16×C43C22semidirect
191. D42×C43C22semidirect
193. C43×#468C22semidirect
196. C43×#460C22semidirect
197. C43×#450C22semidirect
199. C43×#448C22semidirect
201. C43×#440C22semidirect
202. C43×#435C22semidirect
900. #3265D43semidirect
931. C22×SD16C2×D43semidirect
955. D42C2×D43semidirect
1012. #468C2×D43semidirect
1042. #460C2×D43semidirect
1053. #450C2×D43semidirect
1059. #448C2×D43semidirect
1070. #440C2×D43semidirect
1083. #435C2×D43semidirect
1097. C43#62027semidirect

Maximal subgroups

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

subgroupindex
#191491842
#191485202
#191476562
#191476062
#191473492
#191472392
#191468952
#191468632
#191468522
#191467232
#191465492
#191464402
#191463022
#191462112
#191462062
#191462002
#191461182
#191460392
#191459992
#191459922
#191457022
#191456402
#191455682
#191448322
#191448132
#191446432
#191441352
#191441042
#191440562
#191437372
C43×#32652
#6202743