Finite Group Databasebeta

← #25990381

Subgroups — #25990381

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#19148540C211yesmaximal, characteristic, complemented
3#19147664C211yesmaximal, characteristic, complemented
4#19147605C211yesmaximal, characteristic, complemented
5#19147351C211yesmaximal, characteristic, complemented
6#19147241C211yesmaximal, characteristic, complemented
7#19146898C211yesmaximal, characteristic, complemented
8#19146844C211yesmaximal, characteristic, complemented
9#19146715C211yesmaximal, characteristic, complemented
10#19146557C211yesmaximal, characteristic, complemented
11#19146448C211yesmaximal, characteristic, complemented
12#19146295C211yesmaximal, characteristic, complemented
13#19146217C211yesmaximal, characteristic, complemented
14#19146203C211yesmaximal, characteristic, complemented
15#19146199C211yesmaximal, characteristic, complemented
16#19146127C211yesmaximal, characteristic, complemented
17#19146091C211yesmaximal, characteristic, complemented
18#19146040C211yesmaximal, characteristic, complemented
19#19146001C211yesmaximal, characteristic, complemented
20#19145997C211yesmaximal, characteristic, complemented
21#19145710C211yesmaximal, characteristic, complemented
22#19145648C211yesmaximal, characteristic, complemented
23#19145574C211yesmaximal, characteristic, complemented
24#19144834C211yesmaximal, characteristic, complemented
25#19144815C211yesmaximal, characteristic, complemented
26#19144645C211yesmaximal, characteristic, complemented
27#19144137C211yesmaximal, characteristic, complemented
28#19144106C211yesmaximal, characteristic, complemented
29#19144058C211yesmaximal, characteristic, complemented
30#19143741C211yesmaximal, characteristic, complemented
31C43×#3327C211yesmaximal, characteristic, complemented
32C2×#13063353C2211yescharacteristic
33C2×#13063353C2211yescharacteristic, complemented
34C2×#13063352C2211yescharacteristic
35C2×#13063350C2211yescharacteristic
36C2×#13063348C2211yescharacteristic
37C22×#10621884C2211yescharacteristic, complemented
38#14583643—21no—
39#14583637—21no—
40#14583634C2211yescharacteristic, complemented
41#14583634C2211yescharacteristic, complemented
42#14583618C2211yescharacteristic, complemented
43#14583605C2211yescharacteristic, complemented
44#14583602—21no—
45#14583599—21no—
46#14583593C2211yescharacteristic
47#14583576—21no—
48#14583574—21no—
49#14583573—21no—
50#14583570C2211yescharacteristic
51#14583560C2211yescharacteristic, complemented
52#14583551C2211yescharacteristic, complemented
53#14583550C2211yescharacteristic
54#14583546C2211yescharacteristic, complemented
55#14583541—21no—
56#14583540C2211yescharacteristic
57#14583540C2211yescharacteristic
58#14583537C2211yescharacteristic, complemented
59D4×D172C2211yescharacteristic, complemented
60#14583522C2211yescharacteristic, complemented
61#14583507C2211yescharacteristic, complemented
62#14583505C2211yescharacteristic
63#14583502C2211yescharacteristic, complemented
64#14583499—21no—
65#14583497—21no—
66#14583495—21no—
67#14583488—21no—
68#14583483—21no—
69#14583482—21no—
70#14583473C2211yescharacteristic, complemented
71#14583467C2211yescharacteristic, complemented
72#14583445C2211yescharacteristic, complemented
73#14583435C2211yescharacteristic, complemented
74#14583435C2211yescharacteristic, complemented
75#14583429C2211yescharacteristic
76#14583411—21no—
77#123×D43—21no—
78#14583381C2211yescharacteristic
79#14583373C2211yescharacteristic, complemented
80C2×#13063287C2211yescharacteristic, complemented
81#14583292C2211yescharacteristic, complemented
82#14583289C2211yescharacteristic
83#14583284C2211yescharacteristic, complemented
84#14583284C2211yescharacteristic, complemented
85#14583280C2211yescharacteristic, complemented
86#14583276C2211yescharacteristic
87#14583265C2211yescharacteristic, complemented
88#14583260C2211yescharacteristic, complemented
89#14583255C2211yescharacteristic, complemented
90#14583252C2211yescharacteristic, complemented
91#14583248C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic, complemented
93#14583228C2211yescharacteristic, complemented
94#14583223C2211yescharacteristic, complemented
95#14583217C2211yescharacteristic, complemented
96#14583204C2211yescharacteristic, complemented
97#14583204C2211yescharacteristic, complemented
98#14583203C2211yescharacteristic, complemented
99#14583202C2211yescharacteristic, complemented
100#14583202C2211yescharacteristic, complemented
101#14583198C2211yescharacteristic, complemented
102#14583198C2211yescharacteristic, complemented
103#14583187C2211yescharacteristic, complemented
104#14583178C2211yescharacteristic, complemented
105#14583152C2211yescharacteristic
106#14583152C2211yescharacteristic, complemented
107#14583148C2211yescharacteristic, complemented
108#14583147C2211yescharacteristic, complemented
109#14583147C2211yescharacteristic, complemented
110#14583146C2211yescharacteristic, complemented
111#14583133C2211yescharacteristic
112#14583131C2211yescharacteristic, complemented
113#14583130C2211yescharacteristic, complemented
114#14583129C2211yescharacteristic, complemented
115#14583123C2211yescharacteristic, complemented
116#14583123C2211yescharacteristic, complemented
117#14583117C2211yescharacteristic
118#14583117C2211yescharacteristic
119#14583117C2211yescharacteristic, complemented
120#14583117C2211yescharacteristic, complemented
121#14583117C2211yescharacteristic, complemented
122#14583117C2211yescharacteristic, complemented
123#14583117C2211yescharacteristic, complemented
124#14583117C2211yescharacteristic, complemented
125#14583117C2211yescharacteristic, complemented
126#14583116C2211yescharacteristic, complemented
127#14583113C2211yescharacteristic
128#14583113C2211yescharacteristic, complemented
129#14583111C2211yescharacteristic
130#14583107C2211yescharacteristic, complemented
131#14583103C2211yescharacteristic, complemented
132#14583103C2211yescharacteristic, complemented
133#14583103C2211yescharacteristic, complemented
134#14583103C2211yescharacteristic, complemented
135#14583103C2211yescharacteristic, complemented
136#14583100C2211yescharacteristic, complemented
137#14583099C2211yescharacteristic, complemented
138#14583099C2211yescharacteristic, complemented
139#14583097C2211yescharacteristic, complemented
140#14583095C2211yescharacteristic
141#14583093C2211yescharacteristic
142#14583093C2211yescharacteristic, complemented
143#14583093C2211yescharacteristic, complemented
144#14583064C2211yescharacteristic
145#14583060C2211yescharacteristic
146#14583059C2211yescharacteristic, complemented
147#14583059C2211yescharacteristic, complemented
148#14583049C2211yescharacteristic, complemented
149#14583047C2211yescharacteristic, complemented
150#14583047C2211yescharacteristic, complemented
151#14583046C2211yescharacteristic
152#14583046C2211yescharacteristic, complemented
153#14583044C2211yescharacteristic
154#14583038C2211yescharacteristic, complemented
155#14583035C2211yescharacteristic
156#14583035C2211yescharacteristic, complemented
157#14583034C2211yescharacteristic, complemented
158#14583034C2211yescharacteristic, complemented
159#14583032C2211yescharacteristic
160#14583028C2211yescharacteristic, complemented
161C8×Dic86C2211yescharacteristic, complemented
162#14583010C2211yescharacteristic, complemented
163#14583008C2211yescharacteristic, complemented
164#14583004C2211yescharacteristic, complemented
165#14582997C2211yescharacteristic, complemented
166C4×#10621873C2211yescharacteristic, complemented
167#14582984C2211yescharacteristic, complemented
168#14582984C2211yescharacteristic, complemented
169#14582981C2211yescharacteristic
170#14582981C2211yescharacteristic, complemented
171#14582981C2211yescharacteristic, complemented
172#14582979C2211yescharacteristic
173#14582975C2211yescharacteristic, complemented
174#14582974C2211yescharacteristic, complemented
175#14582971C2211yescharacteristic, complemented
176#14582968C2211yescharacteristic, complemented
177(C22⋊D43)⋊C8C2211yescharacteristic, complemented
178#14582958C2211yescharacteristic, complemented
179#14582957C2211yescharacteristic, complemented
180#14582949C2211yescharacteristic, complemented
181#14582927C2211yescharacteristic, complemented
182#14582924C2211yescharacteristic, complemented
183#14582922C2211yescharacteristic, complemented
184#14582899C2211yescharacteristic, complemented
185#14582898C2211yescharacteristic, complemented
186#14582893C2211yescharacteristic, complemented
187#102×D43C2211yescharacteristic, complemented
188C43×#552C2211yescharacteristic, complemented
189C43×#548C2211yescharacteristic
190C43×#488C2211yescharacteristic, complemented
191C43×#484C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#470C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic, complemented
198C43×#451C2211yescharacteristic, complemented
199C4×Q16×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic, complemented
201C43×#419C2211yescharacteristic, complemented
202C43×#417C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621898C2311yescharacteristic
207C2×#10621898C2311yescharacteristic
208C22×D172C2311yescharacteristic
209C22×D172C2311yescharacteristic
210C2×D4×D43—21no—
211C2×D4×D43C2311yescharacteristic
212C22×C4×D43—21no—
213#13063353—42no—
214#13063353—42no—
215#13063352—42no—
216#13063350—42no—
217#13063348—42no—
218C2×#10621885C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621873C2311yescharacteristic
222C2×#10621884—42no—
223C2×#10621884C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×#10621884C2311yescharacteristic
226C2×#10621884C2311yescharacteristic
227C2×#10621884C2311yescharacteristic
228C2×#10621884C2311yescharacteristic
229C2×#10621884C2311yescharacteristic
230C2×#10621884C2311yescharacteristic
231C2×D344C2311yescharacteristic
232C2×D344C2311yescharacteristic
233C2×D344C2311yescharacteristic
234C2×D344C2311yescharacteristic
235C2×D344C2311yescharacteristic
236C2×D344C2311yescharacteristic
237C2×#10621882C2311yescharacteristic
238C2×#10621882C2311yescharacteristic
239C2×#10621882C2311yescharacteristic
240C2×#10621877C2311yescharacteristic
241C2×#10621872C2311yescharacteristic
242C22×C43⋊C8C2311yescharacteristic
243C2×C8×D43C2311yescharacteristic
244#13063324C2311yescharacteristic
245#13063323C2311yescharacteristic
246#13063323C2311yescharacteristic
247#13063322C2311yescharacteristic
248#13063322C2311yescharacteristic
249#13063321—21no—
250#13063321C2311yescharacteristic
251#13063320—21no—
252#13063320—21no—
253#13063320—21no—
254#13063320—21no—
255#13063320D411yescharacteristic
256#13063319—21no—
257#13063319—21no—
258#13063318—21no—
259#13063318—21no—
260#13063318D411yescharacteristic
261#13063317—21no—
262#13063316C2311yescharacteristic
263#13063316C2311yescharacteristic
264#13063315—21no—
265#13063315D411yescharacteristic
266#13063314—21no—
267#13063314C2311yescharacteristic
268#13063314C2311yescharacteristic
269#13063314C2311yescharacteristic
270#13063314C2311yescharacteristic
271#13063314C2311yescharacteristic
272#13063313—21no—
273#13063313—21no—
274#13063312C2311yescharacteristic
275#13063311—21no—
276#13063311D411yescharacteristic
277#13063310—21no—
278#13063310—21no—
279#13063310—21no—
280#13063310—21no—
281#13063310—21no—
282#13063310—21no—
283#13063310—21no—
284#13063310—21no—
285#13063310—21no—
286#13063310—21no—
287#13063309—21no—
288#13063309—21no—
289#13063309—21no—
290#13063309D411yescharacteristic
291#13063308—21no—
292#13063308—21no—
293#13063308—21no—
294#13063308—21no—
295#13063307—21no—
296#13063307—21no—
297#13063307—21no—
298#13063307—21no—
299#13063307—21no—
300#13063306D411yescharacteristic
301#13063305—21no—
302#13063305—21no—
303#13063305C2311yescharacteristic
304#13063303—21no—
305#13063303—21no—
306#13063303—21no—
307#13063302—21no—
308#13063302D411yescharacteristic
309#13063301—21no—
310#13063301—21no—
311#13063301—21no—
312#13063301C2311yescharacteristic
313#13063300—21no—
314#13063300—21no—
315#13063300—21no—
316#13063300—21no—
317#13063300—21no—
318#13063300C2311yescharacteristic
319#13063300C2311yescharacteristic
320#13063299—21no—
321#13063299C2311yescharacteristic
322#13063299C2311yescharacteristic
323#13063299C2311yescharacteristic
324#13063299C2311yescharacteristic
325#13063298—21no—
326#13063298—21no—
327#13063298—21no—
328#13063298—21no—
329#13063298—21no—
330#13063298—21no—
331#13063297—21no—
332#13063297—21no—
333#13063297—21no—
334#13063297—21no—
335#13063297D411yescharacteristic
336#13063296—21no—
337#13063296—21no—
338#13063295—21no—
339#13063295—21no—
340#13063295—21no—
341#13063295—21no—
342#13063295—21no—
343#13063295—21no—
344#13063293—21no—
345#13063293—21no—
346Q8×Dic43C2311yescharacteristic
347Q8×Dic43C2311yescharacteristic
348C4×Dic86C2311yescharacteristic
349C4×Dic86C2311yescharacteristic
350C4×D172—21no—
351C4×D172—21no—
352C4×D172—21no—
353C4×D172—21no—
354C4×D172—21no—
355C4×D172—21no—
356C4×D172C2311yescharacteristic
357D4×Dic43C2311yescharacteristic
358#13063287—21no—
359#13063287—21no—
360#13063287—21no—
361#13063287—21no—
362#13063287C2311yescharacteristic
363#13063287C2311yescharacteristic
364#13063287C2311yescharacteristic
365#13063287C2311yescharacteristic
366#13063287C2311yescharacteristic
367#13063287C2311yescharacteristic
368#13063287C2311yescharacteristic
369#13063287C2311yescharacteristic
370#13063287C2311yescharacteristic
371C4×C22⋊D43—21no—
372C4×C22⋊D43—21no—
373C4×C22⋊D43—21no—
374C4×C22⋊D43C2311yescharacteristic
375C4×C22⋊D43C2311yescharacteristic
376(C22⋊D43)⋊C4—21no—
377(C22⋊D43)⋊C4—21no—
378#13063284C2311yescharacteristic
379#13063283—21no—
380#13063283—21no—
381#13063282—21no—
382#13063282C2311yescharacteristic
383#13063281—21no—
384C4⋊C4×D43—21no—
385C4⋊C4×D43—21no—
386C4⋊C4×D43—21no—
387C4⋊C4×D43C2311yescharacteristic
388C2×(C2×D43)⋊C4—21no—
389C2×(C2×D43)⋊C4—21no—
390C22⋊C4×D43—21no—
391C22⋊C4×D43—21no—
392C22⋊C4×D43—21no—
393C22⋊C4×D43—21no—
394C22⋊C4×D43—21no—
395C2×C4×Dic43C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401C4⋊(C43⋊C8)C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405Dic43⋊C8C2311yescharacteristic
406Dic43⋊C8C2311yescharacteristic
407Dic43⋊C8C2311yescharacteristic
408Dic43⋊C8C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429#13063245C2311yescharacteristic
430#13063245C2311yescharacteristic
431#13063245C2311yescharacteristic
432C22⋊(C43⋊C8)C2311yescharacteristic
433C22⋊(C43⋊C8)C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435(C2×D43)⋊C8C2311yescharacteristic
436#13063236C2311yescharacteristic
437#13063235C2311yescharacteristic
438C8×Dic43C2311yescharacteristic
439C8×Dic43C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C2×#41×C43C2311yescharacteristic
442C22×Q8×C43C2311yescharacteristic
443C2×Q16×C43C2311yescharacteristic
444C2×Q16×C43C2311yescharacteristic
445C2×SD16×C43C2311yescharacteristic
446C2×M16×C43C2311yescharacteristic
447C2×M16×C43C2311yescharacteristic
448#126×C43—21no—
449#125×C43—21no—
450#125×C43C2311yescharacteristic
451#124×C43—21no—
452#124×C43C2311yescharacteristic
453#123×C43—21no—
454C22⋊Q8×C43—21no—
455C22⋊Q8×C43C2311yescharacteristic
456C22⋊Q8×C43C2311yescharacteristic
457C22⋊Q8×C43C2311yescharacteristic
458#121×C43—21no—
459#121×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×Q8×C43C2311yescharacteristic
462C4×D4×C43—21no—
463C4×D4×C43C2311yescharacteristic
464#117×C43—21no—
465#117×C43C2311yescharacteristic
466C2×C4⋊C4×C43C2311yescharacteristic
467#107×C43C2311yescharacteristic
468#107×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470C4⋊C8×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481C22⋊C8×C43C2311yescharacteristic
482C22⋊C8×C43C2311yescharacteristic
483C4×C8×C43C2311yescharacteristic
484C23×D43—21no—
485C23×D43—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×Q8×C43C2411yescharacteristic
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43C2×D411yescharacteristic
498C2×D4×C43C2411yescharacteristic
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C22×C4×C43—21no—
502C22×C4×C43C2411yescharacteristic
503C22×C4×C43C2411yescharacteristic
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43C2×D411yescharacteristic
514C2×C22⋊D43C2×D411yescharacteristic
515C22×Dic43—21no—
516C22×Dic43C2×D411yescharacteristic
517C22×Dic43C2×D411yescharacteristic
518#10621902—22no—
519#10621902—41no—
520#10621902—41no—
521#10621902—41no—
522D4×D43—41no—
523D4×D43—41no—
524D4×D43—82no—
525#10621898—41no—
526#10621898—41no—
527#10621898—41no—
528#10621898—41no—
529#10621898—82no—
530C2×D172—21no—
531C2×D172—21no—
532C2×D172—21no—
533C2×D172—21no—
534C2×D172—21no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172—21no—
540C2×D172—22no—
541C2×D172—22no—
542C2×D172—41no—
543C2×D172—41no—
544C2×D172C2411yescharacteristic
545C2×D172C2411yescharacteristic
546C2×D172C2411yescharacteristic
547C2×D172C2411yescharacteristic
548C2×D172C2411yescharacteristic
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
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×D43—82no—
565C2×C4×D43C2411yescharacteristic
566C2×Dic86—21no—
567C2×Dic86C2×D411yescharacteristic
568C2×Dic86C2411yescharacteristic
569Q16×C43—41no—
570Q16×C43—41no—
571SD16×C43—41no—
572M16×C43—41no—
573M16×C43—41no—
574C2×C8×C43C2411yescharacteristic
575C2×C8×C43C2411yescharacteristic
576C2×C8×C43C2411yescharacteristic
577C2×C8×C43C2411yescharacteristic
578C4⋊C4×C43—21no—
579C4⋊C4×C43—21no—
580C4⋊C4×C43—21no—
581C4⋊C4×C43—21no—
582C4⋊C4×C43—21no—
583C4⋊C4×C43—21no—
584C4⋊C4×C43—21no—
585C4⋊C4×C43—21no—
586C4⋊C4×C43C2×D411yescharacteristic
587C4⋊C4×C43C2411yescharacteristic
588C4⋊C4×C43C2411yescharacteristic
589C4⋊C4×C43C2411yescharacteristic
590C4⋊C4×C43C2411yescharacteristic
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43—21no—
596C22⋊C4×C43—21no—
597C22⋊C4×C43—21no—
598C22⋊C4×C43C2×D411yescharacteristic
599C22⋊C4×C43C2×D411yescharacteristic
600C42×C43—21no—
601C42×C43—21no—
602C42×C43—21no—
603C42×C43C2411yescharacteristic
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43C2×D411yescharacteristic
608C22⋊Dic43C2×D411yescharacteristic
609C22⋊Dic43C2×D411yescharacteristic
610C22⋊Dic43C2×D411yescharacteristic
611#10621885—41no—
612#10621884—22no—
613#10621884—22no—
614#10621884—41no—
615#10621884—41no—
616#10621884—41no—
617#10621884—41no—
618#10621884—41no—
619#10621884—41no—
620#10621882—22no—
621#10621882—41no—
622#10621882—41no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4—21no—
640(C2×D43)⋊C4—21no—
641(C2×D43)⋊C4—21no—
642(C2×D43)⋊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)⋊C4—21no—
648(C2×D43)⋊C4—21no—
649(C2×D43)⋊C4—21no—
650(C2×D43)⋊C4—21no—
651(C2×D43)⋊C4C2×D411yescharacteristic
652(C2×D43)⋊C4C2×D411yescharacteristic
653(C2×D43)⋊C4C2×D411yescharacteristic
654(C2×D43)⋊C4C2×D411yescharacteristic
655C4⋊Dic43—21no—
656C4⋊Dic43—21no—
657C4⋊Dic43—21no—
658C4⋊Dic43—21no—
659C4⋊Dic43—21no—
660C4⋊Dic43C2×D411yescharacteristic
661C4⋊Dic43C2×D411yescharacteristic
662C4⋊Dic43C2×D411yescharacteristic
663C4⋊Dic43C2411yescharacteristic
664C4⋊Dic43C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
676Dic43⋊C4C2×D411yescharacteristic
677Dic43⋊C4C2×D411yescharacteristic
678Dic43⋊C4C2×D411yescharacteristic
679Dic43⋊C4C2×D411yescharacteristic
680Dic43⋊C4C2×D411yescharacteristic
681C4×Dic43—21no—
682C4×Dic43—21no—
683C4×Dic43—21no—
684C4×Dic43C2×D411yescharacteristic
685C4×Dic43C2×D411yescharacteristic
686C4×Dic43C2411yescharacteristic
687C4×Dic43C2411yescharacteristic
688C4×Dic43C2411yescharacteristic
689#10621877—41no—
690C2×C43⋊C8—41no—
691C2×C43⋊C8C2411yescharacteristic
692C2×C43⋊C8C2411yescharacteristic
693C2×C43⋊C8C2411yescharacteristic
694C2×C43⋊C8C2411yescharacteristic
695D344—22no—
696D344—22no—
697D344—41no—
698D344—41no—
699D344—41no—
700D344—41no—
701#10621873—22no—
702#10621873—41no—
703#10621873—41no—
704#10621872—41no—
705C8×D43—41no—
706C23×C43—21no—
707C23×C43C22×D411yescharacteristic
708C23×C43C22×D411yescharacteristic
709C22×D43—21no—
710C22×D43—21no—
711C22×D43—21no—
712C22×D43—21no—
713C22×D43—21no—
714C22×D43—42no—
715C22×D43—42no—
716C22×D43—42no—
717C22×D43—81no—
718C22×D43—81no—
719C22×D43—81no—
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—21no—
729Q8×C43—21no—
730Q8×C43—81no—
731D4×C43—21no—
732D4×C43—21no—
733D4×C43—41no—
734D4×C43—81no—
735D4×C43—81no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—21no—
739C2×C4×C43—21no—
740C2×C4×C43—21no—
741C2×C4×C43—21no—
742C2×C4×C43—21no—
743C2×C4×C43—21no—
744C2×C4×C43—21no—
745C2×C4×C43—21no—
746C2×C4×C43—21no—
747C2×C4×C43—42no—
748C2×C4×C43—81no—
749C2×C4×C43—81no—
750C2×C4×C43C22×D411yescharacteristic
751C2×C4×C43C22×D411yescharacteristic
752C2×C4×C43C22×D411yescharacteristic
753C2×C4×C43C22×D411yescharacteristic
754C2×C4×C43C2511yescharacteristic
755C22⋊D43—41no—
756C22⋊D43—41no—
757C22⋊D43—42no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C22⋊D43—81no—
761C22⋊D43—81no—
762C22⋊D43—81no—
763C22⋊D43—81no—
764C22⋊D43—81no—
765C22⋊D43—81no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—21no—
769C2×Dic43—41no—
770C2×Dic43—41no—
771C2×Dic43—81no—
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775C2×Dic43C22×D411yescharacteristic
776C2×Dic43C22×D411yescharacteristic
777C2×Dic43C22×D411yescharacteristic
778C2×Dic43C22×D411yescharacteristic
779D172—21no—
780D172—21no—
781D172—21no—
782D172—21no—
783D172—21no—
784D172—21no—
785D172—21no—
786D172—21no—
787D172—21no—
788D172—42no—
789D172—42no—
790D172—42no—
791D172—81no—
792D172—81no—
793D172—81no—
794D172—81no—
795D172—81no—
796D172—81no—
797D172—81no—
798D172H(5,𝔽2)12yes—
799C4×D43—21no—
800C4×D43—21no—
801C4×D43—42no—
802C4×D43—81no—
803C4×D43—81no—
804C4×D43—81no—
805C4×D43—81no—
806C4×D43—81no—
807C4×D43—81no—
808C4×D43—81no—
809C4×D43—81no—
810C4×D43—81no—
811C4×D43—81no—
812C4×D43—81no—
813C4×D43—81no—
814C4×D43—81no—
815C4×D43—81no—
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—21no—
834C22×C43—21no—
835C22×C43—41no—
836C22×C43—41no—
837C22×C43—41no—
838C22×C43C23×D411yescharacteristic
839C2×D43—21no—
840C2×D43—21no—
841C2×D43—22no—
842C2×D43—21no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—41no—
849C2×D43—41no—
850C2×D43—41no—
851C2×D43—41no—
852C2×D43—41no—
853C2×D43—41no—
854C2×D43—41no—
855C2×D43—41no—
856C2×D43—41no—
857C2×D43—84no—
858C2×D43—162no—
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×C43—41no—
869C4×C43—41no—
870C4×C43—41no—
871C4×C43C2×H(5,𝔽2)11yescharacteristic
872C4×C43#58511yescharacteristic
873Dic43—21no—
874Dic43—21no—
875Dic43—21no—
876Dic43—21no—
877Dic43—21no—
878Dic43—21no—
879Dic43—21no—
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#3327D4311yescharacteristic, complemented
891#3326—431no—
892#3317—431no—
893#3306—431no—
894#3297—431no—
895#3282—431no—
896#3274—431no—
897#3273—431no—
898#3273—431no—
899#3267—431no—
900#3265—431no—
901#3260—431no—
902#3257—431no—
903#3256—431no—
904#3225—431no—
905#3220—431no—
906#3212—431no—
907#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—81no—
917C2×C43#348811yescharacteristic
918C2×C43#358411yescharacteristic
919C2×C43#358511yescharacteristic
920D43—41no—
921D43—42no—
922D43—81no—
923D43—81no—
924D43—81no—
925D43—81no—
926C2×AGL(1,ℤ/8)—431no—
927C2×AGL(1,ℤ/8)—431no—
928C2×AGL(1,ℤ/8)—431no—
929C2×AGL(1,ℤ/8)—431no—
930C2×#135—431no—
931C22×SD16—431no—
932#562—861no—
933#560—861no—
934#559—431no—
935#559—431no—
936#556—431no—
937#554—431no—
938#553—431no—
939#553—861no—
940#553—861no—
941#552C2×D4311yescharacteristic, complemented
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—
955D42—431no—
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#496—431no—
979#495—431no—
980#495—431no—
981#495—431no—
982#493—431no—
983#490—431no—
984#489—431no—
985#488—431no—
986#488—431no—
987#488C2×D4311yescharacteristic, complemented
988#487—431no—
989#484—431no—
990#484C2×D4311yescharacteristic, complemented
991#483—431no—
992#482—431no—
993#482C2×D4311yescharacteristic, complemented
994#481—431no—
995#479—431no—
996#479—431no—
997#479—431no—
998#479C2×D4311yescharacteristic, complemented
999#478—431no—
1000#478—431no—
1001#478—431no—
1002#478—431no—
1003#476—431no—
1004#474—431no—
1005#470C2×D4311yescharacteristic, complemented
1006#469—431no—
1007#469—431no—
1008#468—431no—
1009#468—431no—
1010#468—431no—
1011#468—431no—
1012#468C2×D4311yescharacteristic, complemented
1013#466—431no—
1014#465—431no—
1015#465—431no—
1016#465—431no—
1017#464—431no—
1018#464—431no—
1019#464C2×D4311yescharacteristic, complemented
1020#463—431no—
1021#463—431no—
1022#463—431no—
1023#463—431no—
1024#463—431no—
1025#463—431no—
1026#463—431no—
1027#463—431no—
1028#463—431no—
1029#463—431no—
1030#463—431no—
1031#463—431no—
1032#463—431no—
1033#462—431no—
1034#461—431no—
1035#461—431no—
1036#461—431no—
1037#461—431no—
1038#461—431no—
1039#460—431no—
1040#460—431no—
1041#460—431no—
1042#460—431no—
1043#459—431no—
1044#459—431no—
1045#459—431no—
1046#459—431no—
1047#452—431no—
1048#452—431no—
1049#452—431no—
1050#452—431no—
1051#452C2×D4311yescharacteristic, complemented
1052#451C2×D4311yescharacteristic, complemented
1053#450—431no—
1054#449—431no—
1055#449—431no—
1056#449—431no—
1057#449—431no—
1058#449—431no—
1059#448—431no—
1060#447—431no—
1061#447—431no—
1062#447—431no—
1063#447—431no—
1064#447—431no—
1065#446—431no—
1066C8×Q8—431no—
1067#442—431no—
1068#442—431no—
1069#441—431no—
1070#440—431no—
1071C4×Q16C2×D4311yescharacteristic, complemented
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#436C2×D4311yescharacteristic, complemented
1082#435—431no—
1083#435—431no—
1084C8×D4—431no—
1085#433—431no—
1086#433—431no—
1087#431—431no—
1088#424—431no—
1089#424—431no—
1090#423—431no—
1091#419C2×D4311yescharacteristic, complemented
1092#417—431no—
1093#417—431no—
1094#417C2×D4311yescharacteristic, complemented
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—431no—
1106C22×D4—431no—
1107C22×D4—431no—
1108C22×D4—861no—
1109C23×C4—861no—
1110AGL(1,ℤ/8)—1722no—
1111AGL(1,ℤ/8)—1722no—
1112AGL(1,ℤ/8)—1722no—
1113AGL(1,ℤ/8)—1722no—
1114#135—1722no—
1115C2×Q16—431no—
1116C2×Q16C22×D4311yescharacteristic
1117C2×Q16C22×D4311yescharacteristic
1118C2×SD16—431no—
1119C2×SD16—431no—
1120C2×SD16—431no—
1121C2×SD16—431no—
1122C2×SD16—431no—
1123C2×SD16—431no—
1124C2×SD16—431no—
1125C2×SD16—431no—
1126C2×SD16—431no—
1127C2×SD16—431no—
1128C2×SD16—431no—
1129C2×SD16—1722no—
1130C2×SD16C22×D4311yescharacteristic
1131C2×D8—431no—
1132C2×D8—431no—
1133C2×D8—431no—
1134C2×D8—431no—
1135C2×D8—431no—
1136C2×D8—431no—
1137C2×D8—431no—
1138C2×D8—431no—
1139C2×D8—431no—
1140C2×M16—431no—
1141C2×M16—431no—
1142C2×M16C22×D4311yescharacteristic
1143C2×M16C22×D4311yescharacteristic
1144C22×C8—431no—
1145C22×C8—431no—
1146C4⋊Q8—431no—
1147C4⋊Q8—431no—
1148C4⋊Q8—431no—
1149#127—431no—
1150#127—431no—
1151#127—431no—
1152#127—861no—
1153#126—21no—
1154#126—431no—
1155#126—431no—
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—21no—
1165#125—431no—
1166#125—431no—
1167#125—431no—
1168#125—861no—
1169#125—861no—
1170#125C22×D4311yescharacteristic
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—21no—
1185#123—431no—
1186#123—431no—
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—861no—
1214C22⋊Q8—861no—
1215C22⋊Q8—861no—
1216C22⋊Q8—861no—
1217C22⋊Q8—861no—
1218C22⋊Q8—861no—
1219C22⋊Q8—861no—
1220C22⋊Q8—861no—
1221C22⋊Q8—861no—
1222C22⋊Q8C22×D4311yescharacteristic
1223C22⋊Q8C22×D4311yescharacteristic
1224C22⋊Q8C22×D4311yescharacteristic
1225#121—21no—
1226#121—431no—
1227#121—431no—
1228#121—431no—
1229#121—431no—
1230#121—431no—
1231#121—431no—
1232#121—431no—
1233#121—861no—
1234#121—861no—
1235#121—861no—
1236#121—861no—
1237#121—861no—
1238#121—861no—
1239#121—861no—
1240#121—861no—
1241#121—861no—
1242#121—861no—
1243#121—861no—
1244#121—861no—
1245#121—861no—
1246#121—861no—
1247#121—861no—
1248#121—861no—
1249#121—861no—
1250#121—861no—
1251#121C22×D4311yescharacteristic
1252#120—861no—
1253#120—861no—
1254#120—861no—
1255#120—861no—
1256#120—861no—
1257#120—861no—
1258#120—861no—
1259#120—861no—
1260C4×Q8—431no—
1261C4×Q8—431no—
1262C4×Q8—431no—
1263C4×Q8—431no—
1264C4×Q8C22×D4311yescharacteristic
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—431no—
1280C4×D4—861no—
1281C4×D4—861no—
1282C4×D4—861no—
1283C4×D4—861no—
1284C4×D4—861no—
1285C4×D4—861no—
1286C4×D4—861no—
1287C4×D4—861no—
1288C4×D4—861no—
1289C4×D4—861no—
1290C4×D4—861no—
1291C4×D4—861no—
1292C4×D4—861no—
1293C4×D4—861no—
1294C4×D4—861no—
1295C4×D4C22×D4311yescharacteristic
1296#117—21no—
1297#117—431no—
1298#117—431no—
1299#117—861no—
1300#117—861no—
1301#117—861no—
1302#117—861no—
1303#117C22×D4311yescharacteristic
1304C2×C4⋊C4—431no—
1305C2×C4⋊C4—861no—
1306C2×C4⋊C4—861no—
1307C2×C4⋊C4—861no—
1308C2×C4⋊C4C22×D4311yescharacteristic
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#107C22×D4311yescharacteristic
1320#107C22×D4311yescharacteristic
1321#106—431no—
1322#106—431no—
1323#106—431no—
1324#106C22×D4311yescharacteristic
1325C4⋊C8—431no—
1326C4⋊C8—431no—
1327C4⋊C8—431no—
1328C4⋊C8—431no—
1329C4⋊C8—431no—
1330C4⋊C8—431no—
1331C4⋊C8—431no—
1332C4⋊C8—431no—
1333C4⋊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#103C22×D4311yescharacteristic
1343#103C22×D4311yescharacteristic
1344#103C22×D4311yescharacteristic
1345#103C22×D4311yescharacteristic
1346#103C22×D4311yescharacteristic
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#102—431no—
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#97—431no—
1375C4×C8—431no—
1376C4×C8—431no—
1377C4×C8—431no—
1378C4×C8C22×D4311yescharacteristic
1379C24—861no—
1380C24—861no—
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—861no—
1399C2×Q8C23×D4311yescharacteristic
1400C2×Q8C23×D4311yescharacteristic
1401C2×Q8C23×D4311yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—431no—
1405C2×D4—431no—
1406C2×D4—431no—
1407C2×D4—431no—
1408C2×D4—431no—
1409C2×D4—431no—
1410C2×D4—431no—
1411C2×D4—862no—
1412C2×D4—862no—
1413C2×D4—861no—
1414C2×D4—861no—
1415C2×D4—861no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—861no—
1419C2×D4—861no—
1420C2×D4—861no—
1421C2×D4—861no—
1422C2×D4—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—3442no—
1433C2×D4—1721no—
1434C2×D4—1721no—
1435C2×D4—1721no—
1436C2×D4—1721no—
1437C2×D4D4×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—41no—
1465Q16—41no—
1466Q16—1721no—
1467SD16—41no—
1468SD16—862no—
1469SD16—862no—
1470SD16—862no—
1471SD16—1721no—
1472SD16—1721no—
1473SD16—1721no—
1474SD16—1721no—
1475SD16—1721no—
1476SD16—1721no—
1477SD16—1721no—
1478SD16—1721no—
1479D8—862no—
1480D8—862no—
1481D8—862no—
1482D8—1721no—
1483D8—1721no—
1484D8—1721no—
1485D8—1721no—
1486D8—1721no—
1487D8—1721no—
1488M16—41no—
1489M16—41no—
1490M16—1721no—
1491M16—1721no—
1492C2×C8—431no—
1493C2×C8—431no—
1494C2×C8—431no—
1495C2×C8—431no—
1496C2×C8—1721no—
1497C2×C8—1721no—
1498C2×C8C23×D4311yescharacteristic
1499C2×C8C23×D4311yescharacteristic
1500C2×C8C23×D4311yescharacteristic
1501C2×C8C23×D4311yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—431no—
1511C4⋊C4—431no—
1512C4⋊C4—431no—
1513C4⋊C4—431no—
1514C4⋊C4—431no—
1515C4⋊C4—431no—
1516C4⋊C4—431no—
1517C4⋊C4—431no—
1518C4⋊C4—431no—
1519C4⋊C4—431no—
1520C4⋊C4—431no—
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⋊C4D4×D4311yescharacteristic
1537C4⋊C4C23×D4311yescharacteristic
1538C4⋊C4C23×D4311yescharacteristic
1539C4⋊C4C23×D4311yescharacteristic
1540C4⋊C4C23×D4311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—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—21no—
1591C42—21no—
1592C42—431no—
1593C42—431no—
1594C42—431no—
1595C42—431no—
1596C42—431no—
1597C42—861no—
1598C42—861no—
1599C42—861no—
1600C42C23×D4311yescharacteristic
1601C23—21no—
1602C23—431no—
1603C23—861no—
1604C23—861no—
1605C23—861no—
1606C23—861no—
1607C23—861no—
1608C23—3441no—
1609C23—3441no—
1610C23—3441no—
1611C23—3441no—
1612C23—3441no—
1613C23—3441no—
1614C23—1722no—
1615C23—1722no—
1616C23—1722no—
1617C23C2×D4×D4311yescharacteristic
1618C23C2×D4×D4311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—21no—
1624Q8—21no—
1625Q8—81no—
1626Q8—861no—
1627Q8—861no—
1628Q8—3441no—
1629Q8—1721no—
1630D4—21no—
1631D4—21no—
1632D4—41no—
1633D4—81no—
1634D4—81no—
1635D4—432no—
1636D4—861no—
1637D4—861no—
1638D4—861no—
1639D4—861no—
1640D4—861no—
1641D4—861no—
1642D4—861no—
1643D4—861no—
1644D4—861no—
1645D4—3441no—
1646D4—3441no—
1647D4—3441no—
1648D4—3441no—
1649D4—3441no—
1650D4—3441no—
1651D4—3441no—
1652D4—3441no—
1653D4—3441no—
1654D4—3441no—
1655D4—3441no—
1656D4—3441no—
1657D4—3441no—
1658D4—3441no—
1659D4—3441no—
1660D4—1722no—
1661D4—1722no—
1662D4—1722no—
1663D4—1721no—
1664D4—1721no—
1665D4—1722no—
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—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—42no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—431no—
1681C2×C4—431no—
1682C2×C4—431no—
1683C2×C4—431no—
1684C2×C4—431no—
1685C2×C4—431no—
1686C2×C4—431no—
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—3441no—
1707C2×C4—1722no—
1708C2×C4—1721no—
1709C2×C4—1721no—
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—41no—
1730C22—41no—
1731C22—41no—
1732C22—861no—
1733C22—861no—
1734C22—861no—
1735C22—862no—
1736C22—3444no—
1737C22—1721no—
1738C22—1721no—
1739C22—1721no—
1740C22—1721no—
1741C22—1721no—
1742C22—1721no—
1743C22—1721no—
1744C22—1721no—
1745C22—1721no—
1746C22—1721no—
1747C22—1721no—
1748C22—1721no—
1749C22—1721no—
1750C22—1721no—
1751C22—6882no—
1752C22—6882no—
1753C22C22×D4×D4311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—861no—
1766C4—861no—
1767C4—861no—
1768C4—861no—
1769C4—861no—
1770C4—861no—
1771C4—861no—
1772C4—1721no—
1773C4—1721no—
1774C4—1721no—
1775C4H(5,𝔽2)×D4311yescharacteristic
1776C4#1458373511yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—81no—
1780C2—3441no—
1781C2—3441no—
1782C2—3441no—
1783C2—3441no—
1784C2—1721no—
1785C2—1722no—
1786C2#1914825811yescharacteristic
1787C2#1914936511yescharacteristic
1788C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3327C2
socleC22×C43C23×D4
hypercenter#3327D43
hypocenterC43#62027
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3327

Complements

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

NH ≅ G/Ntype
1. #19149184C2semidirect
2. #19148540C2semidirect
3. #19147664C2semidirect
4. #19147605C2semidirect
5. #19147351C2semidirect
6. #19147241C2semidirect
7. #19146898C2semidirect
8. #19146844C2semidirect
9. #19146715C2semidirect
10. #19146557C2semidirect
11. #19146448C2semidirect
12. #19146295C2semidirect
13. #19146217C2semidirect
14. #19146203C2semidirect
15. #19146199C2semidirect
16. #19146127C2semidirect
17. #19146091C2semidirect
18. #19146040C2semidirect
19. #19146001C2semidirect
20. #19145997C2semidirect
21. #19145710C2semidirect
22. #19145648C2semidirect
23. #19145574C2semidirect
24. #19144834C2semidirect
25. #19144815C2semidirect
26. #19144645C2semidirect
27. #19144137C2semidirect
28. #19144106C2semidirect
29. #19144058C2semidirect
30. #19143741C2semidirect
31. C43×#3327C2semidirect
33. C2×#13063353C22semidirect
37. C22×#10621884C22semidirect
40. #14583634C22semidirect
41. #14583634C22semidirect
42. #14583618C22semidirect
43. #14583605C22semidirect
51. #14583560C22semidirect
52. #14583551C22semidirect
54. #14583546C22semidirect
58. #14583537C22semidirect
59. D4×D172C22semidirect
60. #14583522C22semidirect
61. #14583507C22semidirect
63. #14583502C22semidirect
70. #14583473C22semidirect
71. #14583467C22semidirect
72. #14583445C22semidirect
73. #14583435C22semidirect
74. #14583435C22semidirect
79. #14583373C22semidirect
80. C2×#13063287C22semidirect
81. #14583292C22semidirect
83. #14583284C22semidirect
84. #14583284C22semidirect
85. #14583280C22semidirect
87. #14583265C22semidirect
88. #14583260C22semidirect
89. #14583255C22semidirect
90. #14583252C22semidirect
91. #14583248C22semidirect
92. #14583236C22semidirect
93. #14583228C22semidirect
94. #14583223C22semidirect
95. #14583217C22semidirect
96. #14583204C22semidirect
97. #14583204C22semidirect
98. #14583203C22semidirect
99. #14583202C22semidirect
100. #14583202C22semidirect
101. #14583198C22semidirect
102. #14583198C22semidirect
103. #14583187C22semidirect
104. #14583178C22semidirect
106. #14583152C22semidirect
107. #14583148C22semidirect
108. #14583147C22semidirect
109. #14583147C22semidirect
110. #14583146C22semidirect
112. #14583131C22semidirect
113. #14583130C22semidirect
114. #14583129C22semidirect
115. #14583123C22semidirect
116. #14583123C22semidirect
119. #14583117C22semidirect
120. #14583117C22semidirect
121. #14583117C22semidirect
122. #14583117C22semidirect
123. #14583117C22semidirect
124. #14583117C22semidirect
125. #14583117C22semidirect
126. #14583116C22semidirect
128. #14583113C22semidirect
130. #14583107C22semidirect
131. #14583103C22semidirect
132. #14583103C22semidirect
133. #14583103C22semidirect
134. #14583103C22semidirect
135. #14583103C22semidirect
136. #14583100C22semidirect
137. #14583099C22semidirect
138. #14583099C22semidirect
139. #14583097C22semidirect
142. #14583093C22semidirect
143. #14583093C22semidirect
146. #14583059C22semidirect
147. #14583059C22semidirect
148. #14583049C22semidirect
149. #14583047C22semidirect
150. #14583047C22semidirect
152. #14583046C22semidirect
154. #14583038C22semidirect
156. #14583035C22semidirect
157. #14583034C22semidirect
158. #14583034C22semidirect
160. #14583028C22semidirect
161. C8×Dic86C22semidirect
162. #14583010C22semidirect
163. #14583008C22semidirect
164. #14583004C22semidirect
165. #14582997C22semidirect
166. C4×#10621873C22semidirect
167. #14582984C22semidirect
168. #14582984C22semidirect
170. #14582981C22semidirect
171. #14582981C22semidirect
173. #14582975C22semidirect
174. #14582974C22semidirect
175. #14582971C22semidirect
176. #14582968C22semidirect
177. (C22⋊D43)⋊C8C22semidirect
178. #14582958C22semidirect
179. #14582957C22semidirect
180. #14582949C22semidirect
181. #14582927C22semidirect
182. #14582924C22semidirect
183. #14582922C22semidirect
184. #14582899C22semidirect
185. #14582898C22semidirect
186. #14582893C22semidirect
187. #102×D43C22semidirect
188. C43×#552C22semidirect
190. C43×#488C22semidirect
191. C43×#484C22semidirect
192. C43×#482C22semidirect
193. C43×#479C22semidirect
194. C43×#470C22semidirect
195. C43×#468C22semidirect
196. C43×#464C22semidirect
197. C43×#452C22semidirect
198. C43×#451C22semidirect
199. C4×Q16×C43C22semidirect
200. C43×#436C22semidirect
201. C43×#419C22semidirect
202. C43×#417C22semidirect
890. #3327D43semidirect
941. #552C2×D43semidirect
987. #488C2×D43semidirect
990. #484C2×D43semidirect
993. #482C2×D43semidirect
998. #479C2×D43semidirect
1005. #470C2×D43semidirect
1012. #468C2×D43semidirect
1019. #464C2×D43semidirect
1051. #452C2×D43semidirect
1052. #451C2×D43semidirect
1071. C4×Q16C2×D43semidirect
1081. #436C2×D43semidirect
1091. #419C2×D43semidirect
1094. #417C2×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
#191485402
#191476642
#191476052
#191473512
#191472412
#191468982
#191468442
#191467152
#191465572
#191464482
#191462952
#191462172
#191462032
#191461992
#191461272
#191460912
#191460402
#191460012
#191459972
#191457102
#191456482
#191455742
#191448342
#191448152
#191446452
#191441372
#191441062
#191440582
#191437412
C43×#33272
#6202743