Finite Group Databasebeta

← #25974041

Subgroups — #25974041

Order 11008.

2102 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148303C211yesmaximal, characteristic, complemented
2#19148232C211yesmaximal, characteristic, complemented
3#19146905C211yesmaximal, characteristic, complemented
4#19146904C211yesmaximal, characteristic, complemented
5#19146898C211yesmaximal, characteristic, complemented
6#19146897C211yesmaximal, characteristic, complemented
7#19146818C211yesmaximal, characteristic, complemented
8#19146815C211yesmaximal, characteristic, complemented
9#19146799C211yesmaximal, characteristic, complemented
10#19146796C211yesmaximal, characteristic, complemented
11#19146697C211yesmaximal, characteristic, complemented
12#19146696C211yesmaximal, characteristic, complemented
13#19146671C211yesmaximal, characteristic, complemented
14#19146573C211yesmaximal, characteristic, complemented
15#19146572C211yesmaximal, characteristic, complemented
16#19146555C211yesmaximal, characteristic, complemented
17#19146552C211yesmaximal, characteristic, complemented
18#19144957C211yesmaximal, characteristic, complemented
19#19144563C211yesmaximal, characteristic, complemented
20#19144514C211yesmaximal, characteristic, complemented
21#19144419C211yesmaximal, characteristic, complemented
22#19144285C211yesmaximal, characteristic, complemented
23#19144199C211yesmaximal, characteristic, complemented
24#19144148C211yesmaximal, characteristic, complemented
25#19143900C211yesmaximal, characteristic, complemented
26#19143838C211yesmaximal, characteristic, complemented
27#19143426C211yesmaximal, characteristic, complemented
28#19143293C211yesmaximal, characteristic, complemented
29#19143116C211yesmaximal, characteristic, complemented
30#417×D43C211yesmaximal, characteristic, complemented
31C43×#3314C211yesmaximal, characteristic, complemented
32C2×#13063370C2211yescharacteristic
33C2×#41×D43C2211yescharacteristic
34C2×#13063357C2211yescharacteristic, complemented
35C2×#13063352C2211yescharacteristic
36C2×#13063346C2211yescharacteristic
37C2×#13063331C2211yescharacteristic
38C2×M16×D43C2211yescharacteristic, complemented
39#14583607C2211yescharacteristic, complemented
40#14583603—21no—
41#14583598—21no—
42#14583597C2211yescharacteristic, complemented
43#14583595C2211yescharacteristic, complemented
44#14583590C2211yescharacteristic, complemented
45#14583583C2211yescharacteristic, complemented
46#14583581—21no—
47#14583554C2211yescharacteristic
48#14583553C2211yescharacteristic
49#14583552C2211yescharacteristic, complemented
50#14583551—21no—
51#14583551C2211yescharacteristic
52#14583550C2211yescharacteristic, complemented
53#14583549—21no—
54#14583548C2211yescharacteristic
55#14583547—21no—
56#14583546C2211yescharacteristic
57#14583543C2211yescharacteristic
58#14583542C2211yescharacteristic
59#14583539—21no—
60#14583536—21no—
61#14583526C2211yescharacteristic, complemented
62#14583497—21no—
63#14583495—21no—
64#14583479C2211yescharacteristic
65#14583472C2211yescharacteristic
66#14583469C2211yescharacteristic
67#14583459—21no—
68#14583457—21no—
69#14583412—21no—
70#14583412C2211yescharacteristic, complemented
71#14583409C2211yescharacteristic
72#14583408—21no—
73#14583408C2211yescharacteristic
74C2×#13063307—21no—
75#123×D43—21no—
76#14583381C2211yescharacteristic, complemented
77#14583380C2211yescharacteristic
78#14583371C2211yescharacteristic
79C2×C4⋊C4×D43C2211yescharacteristic, complemented
80#14583268C2211yescharacteristic, complemented
81#14583266C2211yescharacteristic, complemented
82#14583257C2211yescharacteristic, complemented
83#14583253C2211yescharacteristic, complemented
84#14583252C2211yescharacteristic, complemented
85#14583251C2211yescharacteristic, complemented
86#14583248C2211yescharacteristic, complemented
87#14583242C2211yescharacteristic, complemented
88#14583241C2211yescharacteristic, complemented
89#14583239C2211yescharacteristic, complemented
90#14583237C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic, complemented
93#14583236C2211yescharacteristic, complemented
94#14583230C2211yescharacteristic, complemented
95#14583229C2211yescharacteristic, complemented
96#14583229C2211yescharacteristic, complemented
97#14583228C2211yescharacteristic, complemented
98#14583216C2211yescharacteristic, complemented
99#14583216C2211yescharacteristic, complemented
100#14583210C2211yescharacteristic, complemented
101#14583202C2211yescharacteristic, complemented
102#14583200C2211yescharacteristic, complemented
103#14583199C2211yescharacteristic, complemented
104#14583197C2211yescharacteristic, complemented
105#14583187C2211yescharacteristic, complemented
106#14583186C2211yescharacteristic, complemented
107#14583178C2211yescharacteristic, complemented
108#14583156C2211yescharacteristic, complemented
109#14583155C2211yescharacteristic, complemented
110#14583155C2211yescharacteristic, complemented
111#14583154C2211yescharacteristic, complemented
112#14583151C2211yescharacteristic, complemented
113#14583150C2211yescharacteristic, complemented
114#14583147C2211yescharacteristic, complemented
115#14583146C2211yescharacteristic, complemented
116#14583146C2211yescharacteristic, complemented
117#14583145C2211yescharacteristic, complemented
118#14583142C2211yescharacteristic, complemented
119#14583139C2211yescharacteristic, complemented
120#14583131C2211yescharacteristic, complemented
121#14583128C2211yescharacteristic, complemented
122#14583119C2211yescharacteristic, complemented
123#14583113C2211yescharacteristic, complemented
124#14583111C2211yescharacteristic, complemented
125#14583109C2211yescharacteristic, complemented
126#14583107C2211yescharacteristic, complemented
127#14583105C2211yescharacteristic, complemented
128#14583103C2211yescharacteristic, complemented
129#14583060C2211yescharacteristic, complemented
130#14583059C2211yescharacteristic, complemented
131#14583059C2211yescharacteristic, complemented
132#14583058C2211yescharacteristic, complemented
133#14583058C2211yescharacteristic, complemented
134#14583048C2211yescharacteristic, complemented
135#14583047C2211yescharacteristic, complemented
136#14583046C2211yescharacteristic, complemented
137#14583046C2211yescharacteristic, complemented
138#14583045C2211yescharacteristic, complemented
139#14583045C2211yescharacteristic, complemented
140#14583044C2211yescharacteristic, complemented
141#14583034C2211yescharacteristic, complemented
142#14583033C2211yescharacteristic, complemented
143#14583012C2211yescharacteristic, complemented
144#14583008C2211yescharacteristic, complemented
145#14583002C2211yescharacteristic, complemented
146SD16×Dic43C2211yescharacteristic, complemented
147C4×#10621884C2211yescharacteristic, complemented
148#14582981C2211yescharacteristic, complemented
149C4×#10621882C2211yescharacteristic, complemented
150#14582977C2211yescharacteristic, complemented
151#14582976C2211yescharacteristic, complemented
152#14582974C2211yescharacteristic, complemented
153#14582974C2211yescharacteristic, complemented
154#14582972C2211yescharacteristic, complemented
155#14582970C2211yescharacteristic, complemented
156#14582968C2211yescharacteristic, complemented
157#14582940C2211yescharacteristic, complemented
158#14582940C2211yescharacteristic, complemented
159#14582936C2211yescharacteristic, complemented
160#14582924C2211yescharacteristic, complemented
161#14582906C2211yescharacteristic, complemented
162#14582904C2211yescharacteristic, complemented
163#14582902C2211yescharacteristic
164#14582902C2211yescharacteristic, complemented
165#14582901C2211yescharacteristic, complemented
166#14582900C2211yescharacteristic, complemented
167#14582899C2211yescharacteristic, complemented
168#14582899C2211yescharacteristic, complemented
169#14582898C2211yescharacteristic, complemented
170#14582898C2211yescharacteristic, complemented
171#14582897C2211yescharacteristic
172#14582897C2211yescharacteristic
173#14582897C2211yescharacteristic, complemented
174#14582897C2211yescharacteristic, complemented
175#14582897C2211yescharacteristic, complemented
176#14582896C2211yescharacteristic, complemented
177#14582894C2211yescharacteristic, complemented
178#14582892C2211yescharacteristic
179#14582892C2211yescharacteristic, complemented
180#103×D43C2211yescharacteristic, complemented
181#103×D43C2211yescharacteristic, complemented
182#102×D43C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic, complemented
185#14582864C2211yescharacteristic
186#14582861C2211yescharacteristic, complemented
187#14582856C2211yescharacteristic, complemented
188C43×#554C2211yescharacteristic, complemented
189C43×#546C2211yescharacteristic
190C43×#489C2211yescharacteristic, complemented
191C43×#484C2211yescharacteristic, complemented
192C43×#480C2211yescharacteristic, complemented
193C43×#474C2211yescharacteristic, complemented
194C43×#468C2211yescharacteristic, complemented
195C43×#467C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic, complemented
198C43×#450C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#417C2211yescharacteristic, complemented
202C2×#102×C43C2211yescharacteristic, complemented
203#13063370—24no—
204#13063370—42no—
205C2×#10621902—21no—
206C2×#10621902C2311yescharacteristic
207C2×#10621902C2311yescharacteristic
208C2×#10621898—21no—
209C2×#10621898—21no—
210C2×#10621898C2311yescharacteristic
211C2×#10621898C2311yescharacteristic
212C2×#10621898C2311yescharacteristic
213C2×#10621900—21no—
214C2×#10621900—21no—
215C2×#10621900C2311yescharacteristic
216C2×#10621900C2311yescharacteristic
217C2×#10621900C2311yescharacteristic
218#41×D43—24no—
219#41×D43—42no—
220C2×Q8×D43C2311yescharacteristic
221C22×C22⋊D43—21no—
222C22×C22⋊D43—21no—
223C2×D4×D43—21no—
224C2×D4×D43—21no—
225C2×D4×D43C2311yescharacteristic
226C2×D4×D43C2311yescharacteristic
227C22×C4×D43—21no—
228C22×C4×D43—21no—
229C22×C4×D43C2311yescharacteristic
230#13063357—42no—
231#13063352—24no—
232#13063346—42no—
233C2×#10621885C2311yescharacteristic
234C2×#10621885C2311yescharacteristic
235C2×#10621873C2311yescharacteristic
236C2×#10621873C2311yescharacteristic
237C2×#10621884C2311yescharacteristic
238C2×#10621884C2311yescharacteristic
239C2×D344C2311yescharacteristic
240C2×#10621882C2311yescharacteristic
241C2×#10621882C2311yescharacteristic
242#13063331—42no—
243C2×#10621877C2311yescharacteristic
244C2×#10621877C2311yescharacteristic
245C2×#10621872C2311yescharacteristic
246C2×#10621872C2311yescharacteristic
247C2×#10621872C2311yescharacteristic
248C2×#10621872C2311yescharacteristic
249C2×#10621872C2311yescharacteristic
250M16×D43—42no—
251C2×C8×D43C2311yescharacteristic
252C2×C8×D43C2311yescharacteristic
253C2×C8×D43C2311yescharacteristic
254#13063325C2311yescharacteristic
255#13063324—21no—
256#13063324C2311yescharacteristic
257#13063323—21no—
258#13063323C2311yescharacteristic
259#13063320—21no—
260#13063320—21no—
261#13063319—21no—
262#13063318—21no—
263#13063317C2311yescharacteristic
264#13063316C2311yescharacteristic
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063312C2311yescharacteristic
270#13063311—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063310—21no—
277#13063310—21no—
278#13063310—21no—
279#13063310D411yescharacteristic
280#13063309—21no—
281#13063309—21no—
282#13063308—21no—
283#13063308—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307—21no—
287#13063307—21no—
288#13063307—21no—
289#13063307—21no—
290#13063307—21no—
291#13063307—21no—
292#13063307—21no—
293#13063307—21no—
294#13063307—21no—
295#13063307D411yescharacteristic
296#13063306—21no—
297#13063306—21no—
298#13063305—21no—
299#13063305C2311yescharacteristic
300#13063305C2311yescharacteristic
301#13063304C2311yescharacteristic
302#13063304C2311yescharacteristic
303#13063303—21no—
304#13063303—21no—
305#13063303—21no—
306#13063303D411yescharacteristic
307#13063302—21no—
308#13063302—21no—
309#13063302—21no—
310#13063302D411yescharacteristic
311#13063301—21no—
312#13063301—21no—
313#13063301C2311yescharacteristic
314#13063301C2311yescharacteristic
315#13063301C2311yescharacteristic
316#13063300—21no—
317#13063300C2311yescharacteristic
318#13063300C2311yescharacteristic
319#13063299—21no—
320#13063299—21no—
321#13063299C2311yescharacteristic
322#13063299C2311yescharacteristic
323#13063298—21no—
324#13063298—21no—
325#13063298—21no—
326#13063298—21no—
327#13063298D411yescharacteristic
328#13063297—21no—
329#13063297—21no—
330#13063297—21no—
331#13063297D411yescharacteristic
332#13063296—21no—
333#13063296—21no—
334#13063296C2311yescharacteristic
335#13063295—21no—
336#13063295—21no—
337#13063295D411yescharacteristic
338#13063294—21no—
339#13063293—21no—
340#13063293—21no—
341#13063293D411yescharacteristic
342Q8×Dic43C2311yescharacteristic
343#13063290—21no—
344C4×D172—21no—
345C4×D172C2311yescharacteristic
346C4×D172C2311yescharacteristic
347C4×D172C2311yescharacteristic
348D4×Dic43—21no—
349D4×Dic43C2311yescharacteristic
350#13063287—21no—
351#13063287—21no—
352#13063287—21no—
353#13063287C2311yescharacteristic
354#13063287C2311yescharacteristic
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359C4×C22⋊D43C2311yescharacteristic
360C4×C22⋊D43C2311yescharacteristic
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366#13063284C2311yescharacteristic
367#13063283—21no—
368#13063283C2311yescharacteristic
369#13063283C2311yescharacteristic
370#13063283C2311yescharacteristic
371#13063282—21no—
372#13063282—21no—
373#13063282C2311yescharacteristic
374C2×C4⋊Dic43—21no—
375C2×C4⋊Dic43C2311yescharacteristic
376C2×Dic43⋊C4—21no—
377C2×Dic43⋊C4—21no—
378C4⋊C4×D43—21no—
379C4⋊C4×D43—21no—
380C4⋊C4×D43—21no—
381C4⋊C4×D43—21no—
382C4⋊C4×D43—21no—
383C4⋊C4×D43C2311yescharacteristic
384C4⋊C4×D43C2311yescharacteristic
385C4⋊C4×D43C2311yescharacteristic
386C4⋊C4×D43C2311yescharacteristic
387C4⋊C4×D43C2311yescharacteristic
388C2×C22⋊Dic43—21no—
389C2×(C2×D43)⋊C4—21no—
390C22⋊C4×D43—21no—
391C22⋊C4×D43—21no—
392C22⋊C4×D43—21no—
393#13063259C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063256C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
401#13063256C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404Dic43⋊C8C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063247C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434#13063245C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436C22⋊(C43⋊C8)C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441#13063235C2311yescharacteristic
442C4×C43⋊C8C2311yescharacteristic
443C8×Dic43C2311yescharacteristic
444C2×#41×C43C2311yescharacteristic
445C22×D4×C43C2311yescharacteristic
446C2×Q16×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×M16×C43C2311yescharacteristic
450C22×C8×C43C2311yescharacteristic
451C4⋊Q8×C43C2311yescharacteristic
452#125×C43—21no—
453#124×C43C2311yescharacteristic
454#123×C43—21no—
455C22⋊Q8×C43—21no—
456C22⋊Q8×C43—21no—
457C22⋊Q8×C43C2311yescharacteristic
458C22⋊Q8×C43C2311yescharacteristic
459C22⋊Q8×C43C2311yescharacteristic
460#121×C43—21no—
461#121×C43C2311yescharacteristic
462#120×C43—21no—
463C4×Q8×C43C2311yescharacteristic
464C4×D4×C43—21no—
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467C2×C4⋊C4×C43C2311yescharacteristic
468C2×C4⋊C4×C43C2311yescharacteristic
469C2×C22⋊C4×C43—21no—
470#107×C43C2311yescharacteristic
471#107×C43C2311yescharacteristic
472#107×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481#102×C43C2311yescharacteristic
482#102×C43C2311yescharacteristic
483#102×C43C2311yescharacteristic
484C22⋊C8×C43C2311yescharacteristic
485C22⋊C8×C43C2311yescharacteristic
486#97×C43C2311yescharacteristic
487C24×C43—21no—
488C23×D43—21no—
489C23×D43—21no—
490C23×D43C2×D411yescharacteristic
491#41×C43—22no—
492#41×C43—41no—
493C2×Q8×C43—21no—
494C2×Q8×C43C2411yescharacteristic
495C2×Q8×C43C2411yescharacteristic
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—22no—
500C2×D4×C43—41no—
501C2×D4×C43C2×D411yescharacteristic
502C2×D4×C43C2411yescharacteristic
503C2×D4×C43C2411yescharacteristic
504C22×C4×C43—21no—
505C22×C4×C43—21no—
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43C2411yescharacteristic
509C22×C4×C43C2411yescharacteristic
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—44no—
521C2×C22⋊D43—44no—
522C2×C22⋊D43C2×D411yescharacteristic
523C2×C22⋊D43C2×D411yescharacteristic
524C2×C22⋊D43C2×D411yescharacteristic
525C2×C22⋊D43C2×D411yescharacteristic
526C22×Dic43—21no—
527C22×Dic43—21no—
528C22×Dic43—21no—
529C22×Dic43—21no—
530C22×Dic43—21no—
531C22×Dic43C2×D411yescharacteristic
532#10621902—22no—
533#10621902—22no—
534#10621902—22no—
535#10621902—41no—
536#10621902—82no—
537Q8×D43—22no—
538Q8×D43—22no—
539#10621900—22no—
540#10621900—22no—
541#10621900—22no—
542#10621900—22no—
543#10621900—41no—
544#10621900—41no—
545#10621900—44no—
546#10621900—44no—
547D4×D43—22no—
548D4×D43—22no—
549D4×D43—44no—
550D4×D43—44no—
551D4×D43—41no—
552D4×D43#4114yescomplemented
553#10621898—22no—
554#10621898—22no—
555#10621898—22no—
556#10621898—22no—
557#10621898—41no—
558#10621898—41no—
559#10621898—44no—
560#10621898—82no—
561C2×D172—21no—
562C2×D172—21no—
563C2×D172—21no—
564C2×D172—21no—
565C2×D172C2×D411yescharacteristic
566C2×D172C2×D411yescharacteristic
567C2×D172C2411yescharacteristic
568C2×D172C2411yescharacteristic
569C2×C4×D43—22no—
570C2×C4×D43—22no—
571C2×C4×D43—21no—
572C2×C4×D43—21no—
573C2×C4×D43—21no—
574C2×C4×D43—21no—
575C2×C4×D43—21no—
576C2×C4×D43—21no—
577C2×C4×D43—21no—
578C2×C4×D43—21no—
579C2×C4×D43—21no—
580C2×C4×D43—21no—
581C2×C4×D43—21no—
582C2×C4×D43—21no—
583C2×C4×D43—21no—
584C2×C4×D43—21no—
585C2×C4×D43—44no—
586C2×C4×D43—82no—
587C2×C4×D43C2×D411yescharacteristic
588C2×C4×D43C2×D411yescharacteristic
589C2×C4×D43C2411yescharacteristic
590C2×C4×D43C2411yescharacteristic
591C2×C4×D43C2411yescharacteristic
592C2×Dic86—21no—
593C2×Dic86—21no—
594C2×Dic86C2×D411yescharacteristic
595C2×Dic86C2411yescharacteristic
596C2×Dic86C2411yescharacteristic
597Q16×C43—41no—
598SD16×C43—22no—
599SD16×C43—41no—
600M16×C43—41no—
601C2×C8×C43—41no—
602C2×C8×C43C2411yescharacteristic
603C2×C8×C43C2411yescharacteristic
604C2×C8×C43C2411yescharacteristic
605C2×C8×C43C2411yescharacteristic
606C4⋊C4×C43—21no—
607C4⋊C4×C43—21no—
608C4⋊C4×C43—21no—
609C4⋊C4×C43—21no—
610C4⋊C4×C43—21no—
611C4⋊C4×C43—21no—
612C4⋊C4×C43—21no—
613C4⋊C4×C43C2×D411yescharacteristic
614C4⋊C4×C43C2411yescharacteristic
615C4⋊C4×C43C2411yescharacteristic
616C4⋊C4×C43C2411yescharacteristic
617C4⋊C4×C43C2411yescharacteristic
618C22⋊C4×C43—21no—
619C22⋊C4×C43—21no—
620C22⋊C4×C43—21no—
621C22⋊C4×C43—21no—
622C22⋊C4×C43—21no—
623C22⋊C4×C43—21no—
624C22⋊C4×C43—21no—
625C22⋊C4×C43C2×D411yescharacteristic
626C22⋊C4×C43C2×D411yescharacteristic
627C42×C43—21no—
628C42×C43C2411yescharacteristic
629C22⋊Dic43—21no—
630C22⋊Dic43—21no—
631C22⋊Dic43—21no—
632C22⋊Dic43—21no—
633C22⋊Dic43—21no—
634C22⋊Dic43—21no—
635C22⋊Dic43—21no—
636C22⋊Dic43C2×D411yescharacteristic
637C22⋊Dic43C2×D411yescharacteristic
638#10621885—41no—
639#10621885—41no—
640#10621884—22no—
641#10621884—41no—
642#10621882—22no—
643#10621882—41no—
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)⋊C4—21no—
652(C2×D43)⋊C4—21no—
653(C2×D43)⋊C4—21no—
654(C2×D43)⋊C4—21no—
655(C2×D43)⋊C4—21no—
656(C2×D43)⋊C4—21no—
657(C2×D43)⋊C4—21no—
658(C2×D43)⋊C4—21no—
659(C2×D43)⋊C4—21no—
660(C2×D43)⋊C4C2×D411yescharacteristic
661(C2×D43)⋊C4C2×D411yescharacteristic
662(C2×D43)⋊C4C2×D411yescharacteristic
663(C2×D43)⋊C4C2×D411yescharacteristic
664(C2×D43)⋊C4C2×D411yescharacteristic
665(C2×D43)⋊C4C2×D411yescharacteristic
666C4⋊Dic43—21no—
667C4⋊Dic43—21no—
668C4⋊Dic43—21no—
669C4⋊Dic43—21no—
670C4⋊Dic43—21no—
671C4⋊Dic43—21no—
672C4⋊Dic43—21no—
673C4⋊Dic43C2×D411yescharacteristic
674C4⋊Dic43C2411yescharacteristic
675C4⋊Dic43C2411yescharacteristic
676C4⋊Dic43C2411yescharacteristic
677C4⋊Dic43C2411yescharacteristic
678Dic43⋊C4—21no—
679Dic43⋊C4—21no—
680Dic43⋊C4—21no—
681Dic43⋊C4—21no—
682Dic43⋊C4—21no—
683Dic43⋊C4—21no—
684Dic43⋊C4—21no—
685Dic43⋊C4—21no—
686Dic43⋊C4—21no—
687Dic43⋊C4—21no—
688Dic43⋊C4—21no—
689Dic43⋊C4—21no—
690Dic43⋊C4—21no—
691Dic43⋊C4—21no—
692Dic43⋊C4—21no—
693Dic43⋊C4—21no—
694Dic43⋊C4C2×D411yescharacteristic
695Dic43⋊C4C2×D411yescharacteristic
696Dic43⋊C4C2×D411yescharacteristic
697Dic43⋊C4C2×D411yescharacteristic
698C4×Dic43—21no—
699C4×Dic43—21no—
700C4×Dic43—21no—
701C4×Dic43—21no—
702C4×Dic43—21no—
703C4×Dic43C2411yescharacteristic
704#10621877—41no—
705#10621877—41no—
706C2×C43⋊C8C2411yescharacteristic
707C2×C43⋊C8C2411yescharacteristic
708C2×C43⋊C8C2411yescharacteristic
709C2×C43⋊C8C2411yescharacteristic
710D344—22no—
711#10621873—41no—
712#10621873—41no—
713#10621872—22no—
714#10621872—22no—
715#10621872—41no—
716#10621872—41no—
717#10621872—41no—
718C8×D43—22no—
719C8×D43—22no—
720C8×D43—41no—
721C23×C43—21no—
722C23×C43—21no—
723C23×C43—42no—
724C23×C43—81no—
725C23×C43—81no—
726C23×C43C22×D411yescharacteristic
727C23×C43C22×D411yescharacteristic
728C22×D43—21no—
729C22×D43—22no—
730C22×D43—24no—
731C22×D43—21no—
732C22×D43—41no—
733C22×D43—41no—
734C22×D43—42no—
735C22×D43—81no—
736C22×D43—81no—
737C22×D43—81no—
738C22×D43—81no—
739C22×D43C22×D411yescharacteristic
740C22×D43C22×D411yescharacteristic
741C22×D43C22×D411yescharacteristic
742Q8×C43—21no—
743Q8×C43—21no—
744Q8×C43—21no—
745Q8×C43—21no—
746Q8×C43—81no—
747D4×C43—21no—
748D4×C43—21no—
749D4×C43—21no—
750D4×C43—41no—
751D4×C43—42no—
752D4×C43—42no—
753D4×C43—81no—
754D4×C43C2×#4112yes—
755C2×C4×C43—21no—
756C2×C4×C43—21no—
757C2×C4×C43—21no—
758C2×C4×C43—21no—
759C2×C4×C43—21no—
760C2×C4×C43—21no—
761C2×C4×C43—21no—
762C2×C4×C43—21no—
763C2×C4×C43—21no—
764C2×C4×C43—21no—
765C2×C4×C43—42no—
766C2×C4×C43—81no—
767C2×C4×C43—81no—
768C2×C4×C43—81no—
769C2×C4×C43C22×D411yescharacteristic
770C2×C4×C43C22×D411yescharacteristic
771C2×C4×C43C22×D411yescharacteristic
772C2×C4×C43C22×D411yescharacteristic
773C2×C4×C43C2511yescharacteristic
774C22⋊D43—22no—
775C22⋊D43—22no—
776C22⋊D43—24no—
777C22⋊D43—41no—
778C22⋊D43—41no—
779C22⋊D43—42no—
780C22⋊D43—42no—
781C22⋊D43—42no—
782C22⋊D43—42no—
783C22⋊D43—42no—
784C22⋊D43—42no—
785C22⋊D43—42no—
786C22⋊D43—81no—
787C22⋊D43—81no—
788C2×Dic43—22no—
789C2×Dic43—21no—
790C2×Dic43—21no—
791C2×Dic43—21no—
792C2×Dic43—21no—
793C2×Dic43—21no—
794C2×Dic43—21no—
795C2×Dic43—42no—
796C2×Dic43—42no—
797C2×Dic43—42no—
798C2×Dic43—81no—
799C2×Dic43—81no—
800C2×Dic43C22×D411yescharacteristic
801C2×Dic43C22×D411yescharacteristic
802C2×Dic43C22×D411yescharacteristic
803C2×Dic43C22×D411yescharacteristic
804C2×Dic43C22×D411yescharacteristic
805D172—22no—
806D172—21no—
807D172—21no—
808D172—21no—
809D172—41no—
810D172—42no—
811D172—42no—
812D172—42no—
813D172—81no—
814D172C2×#4112yes—
815C4×D43—22no—
816C4×D43—21no—
817C4×D43—21no—
818C4×D43—21no—
819C4×D43—21no—
820C4×D43—22no—
821C4×D43—42no—
822C4×D43—42no—
823C4×D43—42no—
824C4×D43—42no—
825C4×D43—42no—
826C4×D43—42no—
827C4×D43—42no—
828C4×D43—81no—
829C4×D43—81no—
830C4×D43—81no—
831C4×D43—81no—
832C4×D43—81no—
833C4×D43—81no—
834C4×D43—81no—
835C4×D43C2×#4112yes—
836C4×D43H(5,𝔽2)12yes—
837Dic86—22no—
838Dic86—21no—
839Dic86—21no—
840Dic86—21no—
841Dic86—21no—
842Dic86—42no—
843Dic86—81no—
844C8×C43—21no—
845C8×C43—21no—
846C8×C43—21no—
847C8×C43—21no—
848C43⋊C8—21no—
849C43⋊C8—21no—
850C43⋊C8—21no—
851C43⋊C8—21no—
852#61177—431nomaximal, Sylow
853C22×C43—21no—
854C22×C43—21no—
855C22×C43—21no—
856C22×C43—21no—
857C22×C43—22no—
858C22×C43—21no—
859C22×C43—21no—
860C22×C43—41no—
861C22×C43—41no—
862C22×C43—41no—
863C22×C43—41no—
864C22×C43—41no—
865C22×C43—162no—
866C22×C43C23×D411yescharacteristic
867C2×D43—21no—
868C2×D43—21no—
869C2×D43—21no—
870C2×D43—21no—
871C2×D43—21no—
872C2×D43—21no—
873C2×D43—22no—
874C2×D43—21no—
875C2×D43—21no—
876C2×D43—44no—
877C2×D43—41no—
878C2×D43—41no—
879C2×D43—41no—
880C2×D43—41no—
881C2×D43—41no—
882C2×D43—84no—
883C2×D43—162no—
884C2×D43#54612yes—
885C4×C43—21no—
886C4×C43—21no—
887C4×C43—21no—
888C4×C43—21no—
889C4×C43—41no—
890C4×C43—41no—
891C4×C43—41no—
892C4×C43—41no—
893C4×C43—41no—
894C4×C43—41no—
895C4×C43C22×#4111yescharacteristic
896C4×C43C2×H(5,𝔽2)11yescharacteristic
897Dic43—21no—
898Dic43—21no—
899Dic43—21no—
900Dic43—21no—
901Dic43—41no—
902Dic43—41no—
903Dic43—41no—
904Dic43—41no—
905Dic43—41no—
906Dic43—41no—
907Dic43#54612yes—
908#3492—431no—
909#3485—431no—
910#3331—431no—
911#3331—431no—
912#3330—431no—
913#3330—431no—
914#3323—431no—
915#3323—431no—
916#3322—431no—
917#3322—431no—
918#3315—431no—
919#3315—431no—
920#3314—431no—
921#3314D4311yescharacteristic, complemented
922#3307—431no—
923#3307—431no—
924#3306—431no—
925#3306—431no—
926#3137—431no—
927#3097—431no—
928#3092—431no—
929#3081—431no—
930#3063—431no—
931#3054—431no—
932#3046—431no—
933#3012—431no—
934#3005—431no—
935#2946—431no—
936#2930—431no—
937#2897—431no—
938C2×#417—431no—
939C2×C43—41no—
940C2×C43—42no—
941C2×C43—41no—
942C2×C43—81no—
943C2×C43C2×#54611yescharacteristic
944C2×C43#358511yescharacteristic
945C2×C43#358611yescharacteristic
946D43—22no—
947D43—41no—
948D43—41no—
949D43—42no—
950D43—81no—
951C2×H(5,𝔽2)—431no—
952C22×#41—431no—
953C2×#137—431no—
954C2×AGL(1,ℤ/8)—431no—
955C2×#135—431no—
956C2×#131—431no—
957C22×M16—431no—
958#554—431no—
959#554—861no—
960#554C2×D4311yescharacteristic, complemented
961#553—431no—
962#553—431no—
963#553—861no—
964#552—431no—
965#552—431no—
966#552—861no—
967#547—431no—
968#547—431no—
969#547—431no—
970#547—431no—
971#547—431no—
972#547—431no—
973#547—861no—
974#547—861no—
975#547—861no—
976#546—431no—
977#546—431no—
978#546—431no—
979#546—861no—
980#546—861no—
981#546C2×D4311yescharacteristic
982#544—431no—
983#539—861no—
984#539—861no—
985#537—431no—
986#536—431no—
987#536—431no—
988#534—861no—
989#534—861no—
990#525—431no—
991#525—431no—
992#525—431no—
993#525—861no—
994#525—861no—
995C2×#123—861no—
996C2×#123—861no—
997#520—431no—
998#520—431no—
999#518—431no—
1000C22×C4⋊C4—431no—
1001#491—431no—
1002#491—431no—
1003#489—431no—
1004#489C2×D4311yescharacteristic, complemented
1005#488—431no—
1006#488—431no—
1007#487—431no—
1008#487—431no—
1009#485—431no—
1010#485—431no—
1011#485—431no—
1012#485—431no—
1013#484—431no—
1014#484—431no—
1015#484—431no—
1016#484C2×D4311yescharacteristic, complemented
1017#483—431no—
1018#483—431no—
1019#483—431no—
1020#483—431no—
1021#481—431no—
1022#481—431no—
1023#480—431no—
1024#480C2×D4311yescharacteristic, complemented
1025#478—431no—
1026#478—431no—
1027#478—431no—
1028#478—431no—
1029#476—431no—
1030#476—431no—
1031#474—431no—
1032#474C2×D4311yescharacteristic, complemented
1033#470—431no—
1034#470—431no—
1035#470—431no—
1036#470—431no—
1037#469—431no—
1038#469—431no—
1039#468—431no—
1040#468—431no—
1041#468—431no—
1042#468—431no—
1043#468—431no—
1044#468C2×D4311yescharacteristic, complemented
1045#467—431no—
1046#467C2×D4311yescharacteristic, complemented
1047#465—431no—
1048#465—431no—
1049#464—431no—
1050#464C2×D4311yescharacteristic, complemented
1051#463—431no—
1052#463—431no—
1053#462—431no—
1054#462—431no—
1055#461—431no—
1056#461—431no—
1057#452—431no—
1058#452—431no—
1059#452—431no—
1060#452—431no—
1061#452—431no—
1062#452C2×D4311yescharacteristic, complemented
1063#450—431no—
1064#450C2×D4311yescharacteristic, complemented
1065#449—431no—
1066#449—431no—
1067#449—431no—
1068#449—431no—
1069#449—431no—
1070#449—431no—
1071#447—431no—
1072#447—431no—
1073#442—431no—
1074#442—431no—
1075#440—431no—
1076#440C2×D4311yescharacteristic, complemented
1077C4×SD16—431no—
1078C4×SD16—431no—
1079C4×D8—431no—
1080C4×D8—431no—
1081#436—431no—
1082#436—431no—
1083#436—431no—
1084#436—431no—
1085#435—431no—
1086#435—431no—
1087#435—431no—
1088#435C2×D4311yescharacteristic, complemented
1089#428—431no—
1090#428—431no—
1091#427—431no—
1092#424—431no—
1093#419—431no—
1094#418—431no—
1095#418—431no—
1096#418—431no—
1097#417—431no—
1098#417—431no—
1099#417—431no—
1100#417—431no—
1101#417—431no—
1102#417—431no—
1103#417—431no—
1104#417—431no—
1105#417—431no—
1106#417—431no—
1107#417—431no—
1108#417C2×D4311yescharacteristic, complemented
1109#416—431no—
1110#416—431no—
1111#416—431no—
1112#416—431no—
1113C2×#103—431no—
1114C2×#103—431no—
1115C2×#102—431no—
1116C2×#102—431no—
1117C2×#102—431no—
1118C2×#102C2×D4311yescharacteristic, complemented
1119#408—431no—
1120#407—431no—
1121#405—431no—
1122C43#6117711yescharacteristic, complemented, Sylow
1123H(5,𝔽2)—864no—
1124H(5,𝔽2)—1722no—
1125C2×#41—431no—
1126C2×#41—431no—
1127C2×#41—431no—
1128C2×#41—431no—
1129C2×#41—431no—
1130C2×#41—431no—
1131C2×#41—431no—
1132C2×#41—431no—
1133C2×#41—861no—
1134C2×#41—861no—
1135C2×#41—861no—
1136C2×#41—861no—
1137C2×#41—861no—
1138C2×#41—864no—
1139C2×#41—1722no—
1140C2×#41C22×D4311yescharacteristic
1141C22×Q8—431no—
1142C22×D4—431no—
1143C22×D4—431no—
1144C22×D4—861no—
1145C22×D4—861no—
1146C22×D4—861no—
1147C22×D4—861no—
1148C22×D4C22×D4311yescharacteristic
1149C23×C4—431no—
1150C23×C4—861no—
1151C23×C4—861no—
1152#137—1722no—
1153AGL(1,ℤ/8)—864no—
1154#135—1722no—
1155C2×Q16—431no—
1156C2×Q16—431no—
1157C2×Q16C22×D4311yescharacteristic
1158C2×SD16—431no—
1159C2×SD16—431no—
1160C2×SD16—431no—
1161C2×SD16—431no—
1162C2×SD16C22×D4311yescharacteristic
1163C2×SD16C22×D4311yescharacteristic
1164C2×D8—431no—
1165C2×D8—431no—
1166C2×D8—431no—
1167#131—1722no—
1168C2×M16—431no—
1169C2×M16—431no—
1170C2×M16—431no—
1171C2×M16—431no—
1172C2×M16—431no—
1173C2×M16—431no—
1174C2×M16—431no—
1175C2×M16—1722no—
1176C2×M16C22×D4311yescharacteristic
1177C22×C8—431no—
1178C22×C8—431no—
1179C22×C8—431no—
1180C22×C8C22×D4311yescharacteristic
1181C4⋊Q8—431no—
1182C4⋊Q8—431no—
1183C4⋊Q8—431no—
1184C4⋊Q8—861no—
1185C4⋊Q8—861no—
1186C4⋊Q8C22×D4311yescharacteristic
1187#126—861no—
1188#126—861no—
1189#126—861no—
1190#126—861no—
1191#125—21no—
1192#125—431no—
1193#125—431no—
1194#125—861no—
1195#125—861no—
1196#125—861no—
1197#125—861no—
1198#124—431no—
1199#124—861no—
1200#124C22×D4311yescharacteristic
1201#123—21no—
1202#123—431no—
1203#123—431no—
1204#123—861no—
1205#123—861no—
1206#123—861no—
1207#123—861no—
1208#123—861no—
1209#123—861no—
1210#123—861no—
1211#123—861no—
1212#123—861no—
1213#123—861no—
1214#123—861no—
1215#123—861no—
1216#123—861no—
1217#123—861no—
1218#123—861no—
1219#123—861no—
1220#123—861no—
1221#123—861no—
1222#123—861no—
1223#123—861no—
1224#123—861no—
1225#123—861no—
1226#123—861no—
1227#123—861no—
1228#123—861no—
1229C22⋊Q8—21no—
1230C22⋊Q8—21no—
1231C22⋊Q8—431no—
1232C22⋊Q8—431no—
1233C22⋊Q8—431no—
1234C22⋊Q8—431no—
1235C22⋊Q8—431no—
1236C22⋊Q8—431no—
1237C22⋊Q8—431no—
1238C22⋊Q8—431no—
1239C22⋊Q8—431no—
1240C22⋊Q8—861no—
1241C22⋊Q8—861no—
1242C22⋊Q8—861no—
1243C22⋊Q8—861no—
1244C22⋊Q8—861no—
1245C22⋊Q8—861no—
1246C22⋊Q8—861no—
1247C22⋊Q8—861no—
1248C22⋊Q8—861no—
1249C22⋊Q8C22×D4311yescharacteristic
1250C22⋊Q8C22×D4311yescharacteristic
1251C22⋊Q8C22×D4311yescharacteristic
1252#121—21no—
1253#121—431no—
1254#121—431no—
1255#121—431no—
1256#121—431no—
1257#121—431no—
1258#121—431no—
1259#121—431no—
1260#121—861no—
1261#121—861no—
1262#121—861no—
1263#121—861no—
1264#121—861no—
1265#121—861no—
1266#121—861no—
1267#121—861no—
1268#121—861no—
1269#121—861no—
1270#121—861no—
1271#121—861no—
1272#121C22×D4311yescharacteristic
1273#120—21no—
1274#120—431no—
1275#120—431no—
1276#120—861no—
1277#120—861no—
1278#120—861no—
1279#120—861no—
1280#120—861no—
1281C4×Q8—431no—
1282C4×Q8—861no—
1283C4×Q8C22×D4311yescharacteristic
1284C4×D4—21no—
1285C4×D4—431no—
1286C4×D4—431no—
1287C4×D4—431no—
1288C4×D4—431no—
1289C4×D4—431no—
1290C4×D4—431no—
1291C4×D4—431no—
1292C4×D4—431no—
1293C4×D4—861no—
1294C4×D4—861no—
1295C4×D4—861no—
1296C4×D4—861no—
1297C4×D4—861no—
1298C4×D4—861no—
1299C4×D4—861no—
1300C4×D4—861no—
1301C4×D4—861no—
1302C4×D4—861no—
1303C4×D4—861no—
1304C4×D4—861no—
1305C4×D4—861no—
1306C4×D4—861no—
1307C4×D4C22×D4311yescharacteristic
1308C4×D4C22×D4311yescharacteristic
1309#117—431no—
1310#117—431no—
1311#117—431no—
1312#117—431no—
1313#117—431no—
1314#117—861no—
1315#117—861no—
1316#117—861no—
1317C2×C4⋊C4—431no—
1318C2×C4⋊C4—431no—
1319C2×C4⋊C4—431no—
1320C2×C4⋊C4—431no—
1321C2×C4⋊C4—431no—
1322C2×C4⋊C4—431no—
1323C2×C4⋊C4—861no—
1324C2×C4⋊C4—861no—
1325C2×C4⋊C4—861no—
1326C2×C4⋊C4—861no—
1327C2×C4⋊C4—861no—
1328C2×C4⋊C4—861no—
1329C2×C4⋊C4—861no—
1330C2×C4⋊C4—861no—
1331C2×C4⋊C4C22×D4311yescharacteristic
1332C2×C4⋊C4C22×D4311yescharacteristic
1333C2×C22⋊C4—21no—
1334C2×C22⋊C4—861no—
1335C2×C22⋊C4—861no—
1336C2×C22⋊C4—861no—
1337C2×C22⋊C4—861no—
1338C2×C22⋊C4—861no—
1339#107—431no—
1340#107—431no—
1341#107—431no—
1342#107C22×D4311yescharacteristic
1343#107C22×D4311yescharacteristic
1344#107C22×D4311yescharacteristic
1345#106—431no—
1346#106—431no—
1347#106—431no—
1348#106—431no—
1349#106—431no—
1350#106—431no—
1351C4⋊C8—431no—
1352C4⋊C8—431no—
1353C4⋊C8—431no—
1354C4⋊C8C22×D4311yescharacteristic
1355#103—431no—
1356#103—431no—
1357#103—431no—
1358#103—431no—
1359#103—431no—
1360#103—431no—
1361#103—431no—
1362#103—431no—
1363#103—431no—
1364#103—431no—
1365#103—431no—
1366#103—431no—
1367#103—431no—
1368#103—431no—
1369#103—431no—
1370#103—431no—
1371#103C22×D4311yescharacteristic
1372#103C22×D4311yescharacteristic
1373#103C22×D4311yescharacteristic
1374#103C22×D4311yescharacteristic
1375#102—431no—
1376#102—431no—
1377#102—431no—
1378#102—431no—
1379#102—431no—
1380#102—431no—
1381#102—431no—
1382#102—431no—
1383#102—431no—
1384#102—431no—
1385#102—431no—
1386#102—431no—
1387#102—431no—
1388#102—431no—
1389#102C22×D4311yescharacteristic
1390#102C22×D4311yescharacteristic
1391#102C22×D4311yescharacteristic
1392#102C22×D4311yescharacteristic
1393#102C22×D4311yescharacteristic
1394#102C22×D4311yescharacteristic
1395C22⋊C8—431no—
1396C22⋊C8—431no—
1397C22⋊C8—431no—
1398C22⋊C8—431no—
1399C22⋊C8—431no—
1400C22⋊C8—431no—
1401C22⋊C8C22×D4311yescharacteristic
1402C22⋊C8C22×D4311yescharacteristic
1403#97—431no—
1404#97C22×D4311yescharacteristic
1405C4×C8—431no—
1406C4×C8—431no—
1407C24—21no—
1408C24—431no—
1409C24—861no—
1410C24—861no—
1411#41—22no—
1412#41—41no—
1413#41—862no—
1414#41—862no—
1415#41—862no—
1416#41—862no—
1417#41—862no—
1418#41—862no—
1419#41—862no—
1420#41—862no—
1421#41—862no—
1422#41—862no—
1423#41—862no—
1424#41—3442no—
1425#41—3442no—
1426#41—1721no—
1427#41—1721no—
1428#41—1724no—
1429#41—1721no—
1430#41—1721no—
1431#41—1724no—
1432#41—1721no—
1433#41—1724no—
1434C2×Q8—21no—
1435C2×Q8—431no—
1436C2×Q8—431no—
1437C2×Q8—431no—
1438C2×Q8—861no—
1439C2×Q8—861no—
1440C2×Q8—862no—
1441C2×Q8—862no—
1442C2×Q8C23×D4311yescharacteristic
1443C2×Q8C23×D4311yescharacteristic
1444C2×D4—22no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—41no—
1449C2×D4—434no—
1450C2×D4—431no—
1451C2×D4—431no—
1452C2×D4—431no—
1453C2×D4—431no—
1454C2×D4—431no—
1455C2×D4—431no—
1456C2×D4—431no—
1457C2×D4—431no—
1458C2×D4—861no—
1459C2×D4—861no—
1460C2×D4—861no—
1461C2×D4—861no—
1462C2×D4—862no—
1463C2×D4—861no—
1464C2×D4—861no—
1465C2×D4—862no—
1466C2×D4—861no—
1467C2×D4—861no—
1468C2×D4—861no—
1469C2×D4—861no—
1470C2×D4—861no—
1471C2×D4—861no—
1472C2×D4—861no—
1473C2×D4—861no—
1474C2×D4—1721no—
1475C2×D4—1724no—
1476C2×D4—1724no—
1477C2×D4—1724no—
1478C2×D4—1724no—
1479C2×D4D4×D4311yescharacteristic
1480C2×D4C23×D4311yescharacteristic
1481C2×D4C23×D4311yescharacteristic
1482C22×C4—21no—
1483C22×C4—21no—
1484C22×C4—21no—
1485C22×C4—21no—
1486C22×C4—431no—
1487C22×C4—431no—
1488C22×C4—431no—
1489C22×C4—431no—
1490C22×C4—431no—
1491C22×C4—431no—
1492C22×C4—862no—
1493C22×C4—862no—
1494C22×C4—861no—
1495C22×C4—861no—
1496C22×C4—861no—
1497C22×C4—861no—
1498C22×C4—861no—
1499C22×C4—861no—
1500C22×C4—861no—
1501C22×C4—861no—
1502C22×C4—861no—
1503C22×C4—861no—
1504C22×C4—861no—
1505C22×C4—861no—
1506C22×C4—861no—
1507C22×C4—861no—
1508C22×C4—861no—
1509C22×C4—861no—
1510C22×C4—861no—
1511C22×C4—861no—
1512C22×C4—861no—
1513C22×C4—3442no—
1514C22×C4—1724no—
1515C22×C4C23×D4311yescharacteristic
1516C22×C4C23×D4311yescharacteristic
1517Q16—41no—
1518Q16—1721no—
1519Q16—1721no—
1520SD16—22no—
1521SD16—41no—
1522SD16—862no—
1523SD16—1721no—
1524SD16—1721no—
1525SD16—1721no—
1526D8—862no—
1527D8—862no—
1528D8—1721no—
1529M16—41no—
1530M16—862no—
1531M16—862no—
1532M16—1721no—
1533M16—1721no—
1534M16—1721no—
1535M16—1721no—
1536M16—1721no—
1537C2×C8—41no—
1538C2×C8—431no—
1539C2×C8—431no—
1540C2×C8—431no—
1541C2×C8—431no—
1542C2×C8—862no—
1543C2×C8—862no—
1544C2×C8—1721no—
1545C2×C8C23×D4311yescharacteristic
1546C2×C8C23×D4311yescharacteristic
1547C2×C8C23×D4311yescharacteristic
1548C2×C8C23×D4311yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—431no—
1557C4⋊C4—431no—
1558C4⋊C4—431no—
1559C4⋊C4—431no—
1560C4⋊C4—431no—
1561C4⋊C4—431no—
1562C4⋊C4—431no—
1563C4⋊C4—431no—
1564C4⋊C4—431no—
1565C4⋊C4—861no—
1566C4⋊C4—861no—
1567C4⋊C4—861no—
1568C4⋊C4—861no—
1569C4⋊C4—861no—
1570C4⋊C4—861no—
1571C4⋊C4—861no—
1572C4⋊C4—861no—
1573C4⋊C4—861no—
1574C4⋊C4—861no—
1575C4⋊C4—861no—
1576C4⋊C4—861no—
1577C4⋊C4—861no—
1578C4⋊C4—861no—
1579C4⋊C4—861no—
1580C4⋊C4—861no—
1581C4⋊C4—861no—
1582C4⋊C4—861no—
1583C4⋊C4—861no—
1584C4⋊C4—861no—
1585C4⋊C4—861no—
1586C4⋊C4—861no—
1587C4⋊C4—861no—
1588C4⋊C4D4×D4311yescharacteristic
1589C4⋊C4C23×D4311yescharacteristic
1590C4⋊C4C23×D4311yescharacteristic
1591C4⋊C4C23×D4311yescharacteristic
1592C4⋊C4C23×D4311yescharacteristic
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—431no—
1601C22⋊C4—431no—
1602C22⋊C4—431no—
1603C22⋊C4—431no—
1604C22⋊C4—431no—
1605C22⋊C4—431no—
1606C22⋊C4—431no—
1607C22⋊C4—431no—
1608C22⋊C4—861no—
1609C22⋊C4—861no—
1610C22⋊C4—861no—
1611C22⋊C4—861no—
1612C22⋊C4—861no—
1613C22⋊C4—861no—
1614C22⋊C4—861no—
1615C22⋊C4—861no—
1616C22⋊C4—861no—
1617C22⋊C4—861no—
1618C22⋊C4—861no—
1619C22⋊C4—861no—
1620C22⋊C4—861no—
1621C22⋊C4—861no—
1622C22⋊C4—861no—
1623C22⋊C4—861no—
1624C22⋊C4—861no—
1625C22⋊C4—861no—
1626C22⋊C4—861no—
1627C22⋊C4—861no—
1628C22⋊C4—861no—
1629C22⋊C4—861no—
1630C22⋊C4—861no—
1631C22⋊C4D4×D4311yescharacteristic
1632C22⋊C4D4×D4311yescharacteristic
1633C42—21no—
1634C42—431no—
1635C42—861no—
1636C42—861no—
1637C42—861no—
1638C42—861no—
1639C42—861no—
1640C42C23×D4311yescharacteristic
1641C23—21no—
1642C23—21no—
1643C23—42no—
1644C23—81no—
1645C23—81no—
1646C23—431no—
1647C23—431no—
1648C23—431no—
1649C23—864no—
1650C23—862no—
1651C23—861no—
1652C23—861no—
1653C23—3441no—
1654C23—3441no—
1655C23—3441no—
1656C23—3441no—
1657C23—1721no—
1658C23—1721no—
1659C23—1722no—
1660C23C2×D4×D4311yescharacteristic
1661C23C2×D4×D4311yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—81no—
1667Q8—862no—
1668Q8—861no—
1669Q8—861no—
1670Q8—861no—
1671Q8—861no—
1672Q8—3441no—
1673Q8—1722no—
1674D4—21no—
1675D4—21no—
1676D4—21no—
1677D4—41no—
1678D4—42no—
1679D4—42no—
1680D4—81no—
1681D4—432no—
1682D4—862no—
1683D4—864no—
1684D4—862no—
1685D4—862no—
1686D4—861no—
1687D4—861no—
1688D4—861no—
1689D4—3441no—
1690D4—3441no—
1691D4—3441no—
1692D4—1721no—
1693D4—1722no—
1694D4—1722no—
1695D4—1722no—
1696D4—1721no—
1697D4—1721no—
1698D4—1722no—
1699D4—1722no—
1700D4—1722no—
1701D4—1722no—
1702D4—1722no—
1703D4—1722no—
1704D4—1722no—
1705D4#41×D4312yes—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—42no—
1717C2×C4—81no—
1718C2×C4—81no—
1719C2×C4—81no—
1720C2×C4—431no—
1721C2×C4—432no—
1722C2×C4—432no—
1723C2×C4—431no—
1724C2×C4—431no—
1725C2×C4—431no—
1726C2×C4—431no—
1727C2×C4—862no—
1728C2×C4—862no—
1729C2×C4—862no—
1730C2×C4—861no—
1731C2×C4—861no—
1732C2×C4—861no—
1733C2×C4—861no—
1734C2×C4—861no—
1735C2×C4—861no—
1736C2×C4—861no—
1737C2×C4—861no—
1738C2×C4—861no—
1739C2×C4—861no—
1740C2×C4—3441no—
1741C2×C4—3441no—
1742C2×C4—3441no—
1743C2×C4—3441no—
1744C2×C4—3441no—
1745C2×C4—3441no—
1746C2×C4—3441no—
1747C2×C4—3441no—
1748C2×C4—3441no—
1749C2×C4—1722no—
1750C2×C4—1722no—
1751C2×C4—1722no—
1752C2×C4—1722no—
1753C2×C4—1722no—
1754C2×C4—1722no—
1755C2×C4—1722no—
1756C2×C4—1722no—
1757C2×C4—1722no—
1758C2×C4—1722no—
1759C2×C4C2×D4×D4311yescharacteristic
1760C2×C4C2×D4×D4311yescharacteristic
1761C2×C4C2×D4×D4311yescharacteristic
1762C2×C4C2×D4×D4311yescharacteristic
1763C2×C4C24×D4311yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—861no—
1769C8—861no—
1770C8—861no—
1771C8—861no—
1772C22—21no—
1773C22—21no—
1774C22—22no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—162no—
1785C22—432no—
1786C22—861no—
1787C22—861no—
1788C22—861no—
1789C22—861no—
1790C22—862no—
1791C22—861no—
1792C22—861no—
1793C22—861no—
1794C22—861no—
1795C22—3444no—
1796C22—1724no—
1797C22—1721no—
1798C22—1721no—
1799C22—1721no—
1800C22—1721no—
1801C22—1721no—
1802C22—6882no—
1803C22C22×D4×D4311yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—432no—
1815C4—861no—
1816C4—861no—
1817C4—861no—
1818C4—861no—
1819C4—1721no—
1820C4—1721no—
1821C4—1721no—
1822C4—1721no—
1823C4—1721no—
1824C4—1721no—
1825C4C2×#41×D4311yescharacteristic
1826C4H(5,𝔽2)×D4311yescharacteristic
1827C2—41no—
1828C2—41no—
1829C2—42no—
1830C2—81no—
1831C2—862no—
1832C2—3441no—
1833C2—1721no—
1834C2—1721no—
1835C2—1722no—
1836C2#546×D4311yescharacteristic
1837C2#1914937011yescharacteristic
1838C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3314C2
socleC22×C43C23×D4
hypercenter#3314D43
hypocenterC43#61177
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #19148303C2semidirect
2. #19148232C2semidirect
3. #19146905C2semidirect
4. #19146904C2semidirect
5. #19146898C2semidirect
6. #19146897C2semidirect
7. #19146818C2semidirect
8. #19146815C2semidirect
9. #19146799C2semidirect
10. #19146796C2semidirect
11. #19146697C2semidirect
12. #19146696C2semidirect
13. #19146671C2semidirect
14. #19146573C2semidirect
15. #19146572C2semidirect
16. #19146555C2semidirect
17. #19146552C2semidirect
18. #19144957C2semidirect
19. #19144563C2semidirect
20. #19144514C2semidirect
21. #19144419C2semidirect
22. #19144285C2semidirect
23. #19144199C2semidirect
24. #19144148C2semidirect
25. #19143900C2semidirect
26. #19143838C2semidirect
27. #19143426C2semidirect
28. #19143293C2semidirect
29. #19143116C2semidirect
30. #417×D43C2semidirect
31. C43×#3314C2semidirect
34. C2×#13063357C22semidirect
38. C2×M16×D43C22semidirect
39. #14583607C22semidirect
42. #14583597C22semidirect
43. #14583595C22semidirect
44. #14583590C22semidirect
45. #14583583C22semidirect
49. #14583552C22semidirect
52. #14583550C22semidirect
61. #14583526C22semidirect
70. #14583412C22semidirect
76. #14583381C22semidirect
79. C2×C4⋊C4×D43C22semidirect
80. #14583268C22semidirect
81. #14583266C22semidirect
82. #14583257C22semidirect
83. #14583253C22semidirect
84. #14583252C22semidirect
85. #14583251C22semidirect
86. #14583248C22semidirect
87. #14583242C22semidirect
88. #14583241C22semidirect
89. #14583239C22semidirect
90. #14583237C22semidirect
91. #14583236C22semidirect
92. #14583236C22semidirect
93. #14583236C22semidirect
94. #14583230C22semidirect
95. #14583229C22semidirect
96. #14583229C22semidirect
97. #14583228C22semidirect
98. #14583216C22semidirect
99. #14583216C22semidirect
100. #14583210C22semidirect
101. #14583202C22semidirect
102. #14583200C22semidirect
103. #14583199C22semidirect
104. #14583197C22semidirect
105. #14583187C22semidirect
106. #14583186C22semidirect
107. #14583178C22semidirect
108. #14583156C22semidirect
109. #14583155C22semidirect
110. #14583155C22semidirect
111. #14583154C22semidirect
112. #14583151C22semidirect
113. #14583150C22semidirect
114. #14583147C22semidirect
115. #14583146C22semidirect
116. #14583146C22semidirect
117. #14583145C22semidirect
118. #14583142C22semidirect
119. #14583139C22semidirect
120. #14583131C22semidirect
121. #14583128C22semidirect
122. #14583119C22semidirect
123. #14583113C22semidirect
124. #14583111C22semidirect
125. #14583109C22semidirect
126. #14583107C22semidirect
127. #14583105C22semidirect
128. #14583103C22semidirect
129. #14583060C22semidirect
130. #14583059C22semidirect
131. #14583059C22semidirect
132. #14583058C22semidirect
133. #14583058C22semidirect
134. #14583048C22semidirect
135. #14583047C22semidirect
136. #14583046C22semidirect
137. #14583046C22semidirect
138. #14583045C22semidirect
139. #14583045C22semidirect
140. #14583044C22semidirect
141. #14583034C22semidirect
142. #14583033C22semidirect
143. #14583012C22semidirect
144. #14583008C22semidirect
145. #14583002C22semidirect
146. SD16×Dic43C22semidirect
147. C4×#10621884C22semidirect
148. #14582981C22semidirect
149. C4×#10621882C22semidirect
150. #14582977C22semidirect
151. #14582976C22semidirect
152. #14582974C22semidirect
153. #14582974C22semidirect
154. #14582972C22semidirect
155. #14582970C22semidirect
156. #14582968C22semidirect
157. #14582940C22semidirect
158. #14582940C22semidirect
159. #14582936C22semidirect
160. #14582924C22semidirect
161. #14582906C22semidirect
162. #14582904C22semidirect
164. #14582902C22semidirect
165. #14582901C22semidirect
166. #14582900C22semidirect
167. #14582899C22semidirect
168. #14582899C22semidirect
169. #14582898C22semidirect
170. #14582898C22semidirect
173. #14582897C22semidirect
174. #14582897C22semidirect
175. #14582897C22semidirect
176. #14582896C22semidirect
177. #14582894C22semidirect
179. #14582892C22semidirect
180. #103×D43C22semidirect
181. #103×D43C22semidirect
184. #102×D43C22semidirect
186. #14582861C22semidirect
187. #14582856C22semidirect
188. C43×#554C22semidirect
190. C43×#489C22semidirect
191. C43×#484C22semidirect
192. C43×#480C22semidirect
193. C43×#474C22semidirect
194. C43×#468C22semidirect
195. C43×#467C22semidirect
196. C43×#464C22semidirect
197. C43×#452C22semidirect
198. C43×#450C22semidirect
199. C43×#440C22semidirect
200. C43×#435C22semidirect
201. C43×#417C22semidirect
202. C2×#102×C43C22semidirect
552. D4×D43#41semidirect
921. #3314D43semidirect
960. #554C2×D43semidirect
1004. #489C2×D43semidirect
1016. #484C2×D43semidirect
1024. #480C2×D43semidirect
1032. #474C2×D43semidirect
1044. #468C2×D43semidirect
1046. #467C2×D43semidirect
1050. #464C2×D43semidirect
1062. #452C2×D43semidirect
1064. #450C2×D43semidirect
1076. #440C2×D43semidirect
1088. #435C2×D43semidirect
1108. #417C2×D43semidirect
1118. C2×#102C2×D43semidirect
1122. C43#61177semidirect

Maximal subgroups

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

subgroupindex
#191483032
#191482322
#191469052
#191469042
#191468982
#191468972
#191468182
#191468152
#191467992
#191467962
#191466972
#191466962
#191466712
#191465732
#191465722
#191465552
#191465522
#191449572
#191445632
#191445142
#191444192
#191442852
#191441992
#191441482
#191439002
#191438382
#191434262
#191432932
#191431162
#417×D432
C43×#33142
#6117743