Finite Group Databasebeta

← #25974474

Subgroups — #25974474

Order 11008.

2114 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148311C211yesmaximal, characteristic, complemented
2#19148255C211yesmaximal, characteristic, complemented
3#19146854C211yesmaximal, characteristic, complemented
4#19146842C211yesmaximal, characteristic, complemented
5#19146826C211yesmaximal, characteristic, complemented
6#19146822C211yesmaximal, characteristic, complemented
7#19146756C211yesmaximal, characteristic, complemented
8#19146744C211yesmaximal, characteristic, complemented
9#19146729C211yesmaximal, characteristic, complemented
10#19146724C211yesmaximal, characteristic, complemented
11#19146720C211yesmaximal, characteristic, complemented
12#19146664C211yesmaximal, characteristic, complemented
13#19146663C211yesmaximal, characteristic, complemented
14#19146548C211yesmaximal, characteristic, complemented
15#19146540C211yesmaximal, characteristic, complemented
16#19146427C211yesmaximal, characteristic, complemented
17#19146426C211yesmaximal, characteristic, complemented
18#19144950C211yesmaximal, characteristic, complemented
19#19144585C211yesmaximal, characteristic, complemented
20#482×D43C211yesmaximal, characteristic, complemented
21#19144447C211yesmaximal, characteristic, complemented
22#19144260C211yesmaximal, characteristic, complemented
23#19144213C211yesmaximal, characteristic, complemented
24#19144129C211yesmaximal, characteristic, complemented
25#19143894C211yesmaximal, characteristic, complemented
26#19143808C211yesmaximal, characteristic, complemented
27#19143477C211yesmaximal, characteristic, complemented
28#19143318C211yesmaximal, characteristic, complemented
29#19143116C211yesmaximal, characteristic, complemented
30#19143109C211yesmaximal, characteristic, complemented
31C43×#3318C211yesmaximal, characteristic, complemented
32C2×#13063370C2211yescharacteristic
33C22×#10621900C2211yescharacteristic
34C2×#13063349C2211yescharacteristic, complemented
35C2×#13063344C2211yescharacteristic
36C2×#13063344C2211yescharacteristic, complemented
37C2×#13063331C2211yescharacteristic, complemented
38C2×M16×D43C2211yescharacteristic, complemented
39#14583619C2211yescharacteristic, complemented
40#14583617C2211yescharacteristic, complemented
41#14583616—21no—
42#14583614C2211yescharacteristic, complemented
43#14583613—21no—
44#14583613C2211yescharacteristic, complemented
45#14583598—21no—
46#14583596C2211yescharacteristic, complemented
47#14583587C2211yescharacteristic, complemented
48#14583586—21no—
49#14583584C2211yescharacteristic, complemented
50#14583569C2211yescharacteristic
51#14583567C2211yescharacteristic
52#14583558C2211yescharacteristic
53#14583555C2211yescharacteristic
54#14583544C2211yescharacteristic
55#14583543C2211yescharacteristic
56#14583538—21no—
57#14583536—21no—
58D4×C22⋊D43—21no—
59D4×C22⋊D43C2211yescharacteristic
60#14583531—21no—
61#14583529C2211yescharacteristic, complemented
62#14583485—21no—
63#14583481—21no—
64#14583478C2211yescharacteristic
65#14583478C2211yescharacteristic, complemented
66#14583476—21no—
67#14583464—21no—
68#14583462C2211yescharacteristic
69#14583432—21no—
70#14583431—21no—
71#14583409C2211yescharacteristic, complemented
72#14583408C2211yescharacteristic
73#14583405—21no—
74C2×#13063297—21no—
75#121×D43C2211yescharacteristic
76#14583380C2211yescharacteristic, complemented
77#14583378C2211yescharacteristic
78#14583378C2211yescharacteristic, complemented
79#117×D43C2211yescharacteristic, complemented
80#14583262C2211yescharacteristic, complemented
81#14583259C2211yescharacteristic, complemented
82#14583257C2211yescharacteristic, complemented
83#14583256C2211yescharacteristic, complemented
84#14583252C2211yescharacteristic, complemented
85#14583245C2211yescharacteristic, complemented
86#14583244C2211yescharacteristic, complemented
87#14583243C2211yescharacteristic, complemented
88#14583241C2211yescharacteristic, complemented
89#14583231C2211yescharacteristic, complemented
90#14583229C2211yescharacteristic, complemented
91#14583226C2211yescharacteristic, complemented
92#14583225C2211yescharacteristic, complemented
93#14583224C2211yescharacteristic, complemented
94#14583223C2211yescharacteristic, complemented
95#14583222C2211yescharacteristic, complemented
96#14583221C2211yescharacteristic, complemented
97#14583221C2211yescharacteristic, complemented
98#14583220C2211yescharacteristic, complemented
99#14583220C2211yescharacteristic, complemented
100#14583216C2211yescharacteristic, complemented
101#14583209C2211yescharacteristic, complemented
102#14583203C2211yescharacteristic, complemented
103#14583197C2211yescharacteristic, complemented
104#14583195C2211yescharacteristic, complemented
105#14583193C2211yescharacteristic, complemented
106#14583179C2211yescharacteristic, complemented
107#14583177C2211yescharacteristic, complemented
108#14583150C2211yescharacteristic, complemented
109#14583145C2211yescharacteristic, complemented
110#14583144C2211yescharacteristic, complemented
111#14583144C2211yescharacteristic, complemented
112#14583143C2211yescharacteristic, complemented
113#14583143C2211yescharacteristic, complemented
114#14583143C2211yescharacteristic, complemented
115#14583141C2211yescharacteristic, complemented
116#14583140C2211yescharacteristic, complemented
117#14583134C2211yescharacteristic, complemented
118#14583132C2211yescharacteristic, complemented
119#14583132C2211yescharacteristic, complemented
120#14583129C2211yescharacteristic, complemented
121#14583127C2211yescharacteristic, complemented
122#14583122C2211yescharacteristic, complemented
123#14583120C2211yescharacteristic, complemented
124#14583114C2211yescharacteristic, complemented
125#14583112C2211yescharacteristic, complemented
126#14583098C2211yescharacteristic, complemented
127#14583096C2211yescharacteristic, complemented
128#14583092C2211yescharacteristic, complemented
129#14583063C2211yescharacteristic, complemented
130#14583062C2211yescharacteristic, complemented
131#14583062C2211yescharacteristic, complemented
132#14583062C2211yescharacteristic, complemented
133#14583057C2211yescharacteristic, complemented
134#14583051C2211yescharacteristic, complemented
135#14583050C2211yescharacteristic, complemented
136#14583050C2211yescharacteristic, complemented
137#14583042C2211yescharacteristic, complemented
138#14583041C2211yescharacteristic, complemented
139#14583041C2211yescharacteristic, complemented
140#14583041C2211yescharacteristic, complemented
141#14583037C2211yescharacteristic, complemented
142#14583031C2211yescharacteristic, complemented
143#14583011C2211yescharacteristic, complemented
144#14583007C2211yescharacteristic, complemented
145#14583005C2211yescharacteristic, complemented
146#14582990C2211yescharacteristic, complemented
147#14582990C2211yescharacteristic, complemented
148C4×#10621883C2211yescharacteristic, complemented
149C4×#10621883C2211yescharacteristic, complemented
150#14582977C2211yescharacteristic, complemented
151#14582975C2211yescharacteristic, complemented
152#14582973C2211yescharacteristic, complemented
153#14582973C2211yescharacteristic, complemented
154#14582972C2211yescharacteristic, complemented
155#14582964C2211yescharacteristic, complemented
156C8×C22⋊D43C2211yescharacteristic, complemented
157#14582938C2211yescharacteristic, complemented
158#107×D43C2211yescharacteristic, complemented
159#106×D43C2211yescharacteristic, complemented
160#14582924C2211yescharacteristic, complemented
161#14582909C2211yescharacteristic, complemented
162#14582907C2211yescharacteristic, complemented
163#14582904C2211yescharacteristic, complemented
164#14582904C2211yescharacteristic, complemented
165#14582902C2211yescharacteristic, complemented
166#14582902C2211yescharacteristic, complemented
167#14582898C2211yescharacteristic, complemented
168#14582897C2211yescharacteristic
169#14582897C2211yescharacteristic
170#14582897C2211yescharacteristic, complemented
171#14582897C2211yescharacteristic, complemented
172#14582897C2211yescharacteristic, complemented
173#14582897C2211yescharacteristic, complemented
174#14582896C2211yescharacteristic, complemented
175#14582892C2211yescharacteristic
176#14582892C2211yescharacteristic, complemented
177#14582892C2211yescharacteristic, complemented
178#14582892C2211yescharacteristic, complemented
179#14582892C2211yescharacteristic, complemented
180#14582892C2211yescharacteristic, complemented
181#14582892C2211yescharacteristic, complemented
182#102×D43C2211yescharacteristic, complemented
183#102×D43C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic, complemented
185#14582864C2211yescharacteristic, complemented
186C22⋊C8×D43C2211yescharacteristic, complemented
187#14582856C2211yescharacteristic, complemented
188C43×#553C2211yescharacteristic, complemented
189D42×C43C2211yescharacteristic
190C43×#490C2211yescharacteristic, complemented
191C43×#482C2211yescharacteristic, complemented
192C43×#481C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic, complemented
195C43×#466C2211yescharacteristic, complemented
196C43×#459C2211yescharacteristic, complemented
197C43×#447C2211yescharacteristic, complemented
198C43×#447C2211yescharacteristic, complemented
199C43×#442C2211yescharacteristic, complemented
200C43×#435C2211yescharacteristic, complemented
201C43×#418C2211yescharacteristic, complemented
202C2×#102×C43C2211yescharacteristic, complemented
203#13063370—24no—
204#13063370—42no—
205C2×#10621898C2311yescharacteristic
206C2×#10621898C2311yescharacteristic
207C2×#10621900—24no—
208C2×#10621900—21no—
209C2×#10621900—21no—
210C2×#10621900—21no—
211C2×#10621900—42no—
212C2×#10621900C2311yescharacteristic
213C2×#10621900C2311yescharacteristic
214C2×#10621900C2311yescharacteristic
215C2×#10621900C2311yescharacteristic
216C2×#10621900C2311yescharacteristic
217C2×#10621900C2311yescharacteristic
218C22×Dic86C2311yescharacteristic
219C22×C22⋊D43—21no—
220C22×C22⋊D43—21no—
221C22×C22⋊D43—21no—
222C22×C22⋊D43—21no—
223C2×D4×D43—21no—
224C2×D4×D43—21no—
225C2×D4×D43C2311yescharacteristic
226C2×D4×D43C2311yescharacteristic
227C23×Dic43—21no—
228C22×C4×D43C2311yescharacteristic
229#13063349—42no—
230#13063344—24no—
231#13063344—42no—
232C2×Dic172C2311yescharacteristic
233C2×Dic172C2311yescharacteristic
234C2×#10621873C2311yescharacteristic
235C2×#10621883C2311yescharacteristic
236C2×#10621883C2311yescharacteristic
237C2×#10621883C2311yescharacteristic
238C2×#10621883C2311yescharacteristic
239C2×#10621883C2311yescharacteristic
240C2×#10621882C2311yescharacteristic
241#13063331—42no—
242C2×#10621877C2311yescharacteristic
243C2×#10621877C2311yescharacteristic
244C2×#10621872C2311yescharacteristic
245C2×#10621872C2311yescharacteristic
246C2×#10621872C2311yescharacteristic
247M16×D43—42no—
248C2×C8×D43C2311yescharacteristic
249C2×C8×D43C2311yescharacteristic
250C2×C8×D43C2311yescharacteristic
251C2×C8×D43C2311yescharacteristic
252C2×C8×D43C2311yescharacteristic
253#13063325C2311yescharacteristic
254#13063324—21no—
255#13063324C2311yescharacteristic
256#13063321—21no—
257#13063321—21no—
258#13063321C2311yescharacteristic
259#13063320—21no—
260#13063320—21no—
261#13063319—21no—
262#13063318—21no—
263#13063318—21no—
264#13063318—21no—
265#13063318—21no—
266#13063316—21no—
267#13063316C2311yescharacteristic
268#13063315—21no—
269#13063315—21no—
270#13063313C2311yescharacteristic
271#13063312—21no—
272#13063312—21no—
273#13063312C2311yescharacteristic
274#13063311—21no—
275#13063311—21no—
276#13063311—21no—
277#13063311—21no—
278#13063311—21no—
279#13063311—21no—
280#13063310—21no—
281#13063310D411yescharacteristic
282#13063309—21no—
283#13063308—21no—
284#13063307—21no—
285#13063307D411yescharacteristic
286#13063306—21no—
287#13063306—21no—
288#13063305—21no—
289#13063305C2311yescharacteristic
290#13063305C2311yescharacteristic
291#13063305C2311yescharacteristic
292#13063304C2311yescharacteristic
293#13063304C2311yescharacteristic
294#13063304C2311yescharacteristic
295#13063303—21no—
296#13063303—21no—
297#13063303D411yescharacteristic
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302D411yescharacteristic
302#13063300C2311yescharacteristic
303#13063299—21no—
304#13063299—21no—
305#13063299C2311yescharacteristic
306#13063298—21no—
307#13063298—21no—
308#13063298—21no—
309#13063298—21no—
310#13063298D411yescharacteristic
311#13063297—21no—
312#13063297—21no—
313#13063297—21no—
314#13063297—21no—
315#13063297—21no—
316#13063297—21no—
317#13063297—21no—
318#13063297—21no—
319#13063297—21no—
320#13063297—21no—
321#13063297—21no—
322#13063297—21no—
323#13063297—21no—
324#13063297D411yescharacteristic
325#13063296—21no—
326#13063296—21no—
327#13063296—21no—
328#13063296C2311yescharacteristic
329#13063296C2311yescharacteristic
330#13063296C2311yescharacteristic
331#13063296C2311yescharacteristic
332#13063295—21no—
333#13063295D411yescharacteristic
334#13063294—21no—
335#13063294—21no—
336#13063293—21no—
337#13063293—21no—
338#13063293—21no—
339#13063293—21no—
340#13063293D411yescharacteristic
341C4×Dic86—21no—
342C4×Dic86C2311yescharacteristic
343C4×Dic86C2311yescharacteristic
344#13063290—21no—
345#13063290—21no—
346#13063290C2311yescharacteristic
347#13063290C2311yescharacteristic
348C4×D172C2311yescharacteristic
349D4×Dic43—21no—
350D4×Dic43—21no—
351D4×Dic43—21no—
352D4×Dic43C2311yescharacteristic
353D4×Dic43C2311yescharacteristic
354#13063287—21no—
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(C22⋊D43)⋊C4—21no—
367#13063284—21no—
368#13063284—21no—
369#13063284C2311yescharacteristic
370#13063284C2311yescharacteristic
371#13063283—21no—
372#13063283C2311yescharacteristic
373#13063283C2311yescharacteristic
374#13063283C2311yescharacteristic
375#13063283C2311yescharacteristic
376#13063282—21no—
377#13063282C2311yescharacteristic
378#13063281—21no—
379#13063281—21no—
380#13063281—21no—
381#13063281—21no—
382C2×Dic43⋊C4—21no—
383C2×Dic43⋊C4—21no—
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—
392C42×D43—21no—
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063257C2311yescharacteristic
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#13063250C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063247C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063246C2311yescharacteristic
430#13063246C2311yescharacteristic
431#13063246C2311yescharacteristic
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
444C22×D4×C43—21no—
445C22×D4×C43C2311yescharacteristic
446C22×D4×C43C2311yescharacteristic
447C2×D8×C43C2311yescharacteristic
448C2×D8×C43C2311yescharacteristic
449C2×D8×C43C2311yescharacteristic
450C2×M16×C43C2311yescharacteristic
451C22×C8×C43C2311yescharacteristic
452#127×C43C2311yescharacteristic
453#126×C43—21no—
454#125×C43C2311yescharacteristic
455#123×C43—21no—
456#121×C43—21no—
457#121×C43—21no—
458#121×C43C2311yescharacteristic
459#121×C43C2311yescharacteristic
460#121×C43C2311yescharacteristic
461#121×C43C2311yescharacteristic
462#120×C43—21no—
463#120×C43—21no—
464C4×D4×C43—21no—
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467C4×D4×C43C2311yescharacteristic
468#117×C43C2311yescharacteristic
469C2×C4⋊C4×C43C2311yescharacteristic
470#107×C43C2311yescharacteristic
471#106×C43C2311yescharacteristic
472#106×C43C2311yescharacteristic
473C4⋊C8×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×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—
488C24×C43—21no—
489C23×D43—21no—
490C23×D43—21no—
491C23×D43C2×D411yescharacteristic
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—21no—
500C2×D4×C43—22no—
501C2×D4×C43—22no—
502C2×D4×C43—41no—
503C2×D4×C43—41no—
504C2×D4×C43—82no—
505C2×D4×C43C2×D411yescharacteristic
506C2×D4×C43C2411yescharacteristic
507C2×D4×C43C2411yescharacteristic
508C2×D4×C43C2411yescharacteristic
509C2×D4×C43C2411yescharacteristic
510C22×C4×C43—21no—
511C22×C4×C43—21no—
512C22×C4×C43—21no—
513C22×C4×C43C2411yescharacteristic
514C22×C4×C43C2411yescharacteristic
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43—21no—
529C2×C22⋊D43—21no—
530C2×C22⋊D43—21no—
531C2×C22⋊D43—44no—
532C2×C22⋊D43—44no—
533C2×C22⋊D43—44no—
534C2×C22⋊D43—82no—
535C2×C22⋊D43C2×D411yescharacteristic
536C2×C22⋊D43C2×D411yescharacteristic
537C2×C22⋊D43C2×D411yescharacteristic
538C2×C22⋊D43C2×D411yescharacteristic
539C22×Dic43—21no—
540C22×Dic43—21no—
541C22×Dic43—21no—
542C22×Dic43—21no—
543C22×Dic43—21no—
544C22×Dic43—21no—
545C22×Dic43—21no—
546C22×Dic43—21no—
547C22×Dic43—21no—
548C22×Dic43—44no—
549C22×Dic43C2×D411yescharacteristic
550#10621900—22no—
551#10621900—22no—
552#10621900—22no—
553#10621900—22no—
554#10621900—22no—
555#10621900—22no—
556#10621900—22no—
557#10621900—22no—
558#10621900—41no—
559#10621900—41no—
560#10621900—41no—
561#10621900—44no—
562#10621900—44no—
563#10621900—44no—
564#10621900#4114yes—
565D4×D43—22no—
566D4×D43—22no—
567D4×D43—22no—
568D4×D43—41no—
569D4×D43—44no—
570D4×D43—82no—
571#10621898—22no—
572#10621898—22no—
573#10621898—22no—
574#10621898—41no—
575C2×D172—21no—
576C2×D172C2×D411yescharacteristic
577C2×D172C2×D411yescharacteristic
578C2×D172C2411yescharacteristic
579C2×C4×D43—22no—
580C2×C4×D43—22no—
581C2×C4×D43—21no—
582C2×C4×D43—21no—
583C2×C4×D43—21no—
584C2×C4×D43—21no—
585C2×C4×D43—21no—
586C2×C4×D43C2×D411yescharacteristic
587C2×C4×D43C2×D411yescharacteristic
588C2×C4×D43C2411yescharacteristic
589C2×C4×D43C2411yescharacteristic
590C2×C4×D43C2411yescharacteristic
591C2×Dic86—22no—
592C2×Dic86—21no—
593C2×Dic86—21no—
594C2×Dic86—21no—
595C2×Dic86—41no—
596C2×Dic86C2×D411yescharacteristic
597C2×Dic86C2411yescharacteristic
598C2×Dic86C2411yescharacteristic
599C2×Dic86C2411yescharacteristic
600D8×C43—22no—
601D8×C43—41no—
602D8×C43—41no—
603M16×C43—41no—
604C2×C8×C43—41no—
605C2×C8×C43C2411yescharacteristic
606C2×C8×C43C2411yescharacteristic
607C2×C8×C43C2411yescharacteristic
608C2×C8×C43C2411yescharacteristic
609C4⋊C4×C43—21no—
610C4⋊C4×C43—21no—
611C4⋊C4×C43—21no—
612C4⋊C4×C43C2×D411yescharacteristic
613C4⋊C4×C43C2411yescharacteristic
614C4⋊C4×C43C2411yescharacteristic
615C4⋊C4×C43C2411yescharacteristic
616C4⋊C4×C43C2411yescharacteristic
617C22⋊C4×C43—21no—
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×C43C2×D411yescharacteristic
625C22⋊C4×C43C2×D411yescharacteristic
626C42×C43—21no—
627C42×C43C2411yescharacteristic
628C22⋊Dic43—21no—
629C22⋊Dic43—21no—
630C22⋊Dic43—21no—
631C22⋊Dic43—21no—
632C22⋊Dic43—21no—
633C22⋊Dic43—21no—
634C22⋊Dic43—21no—
635C22⋊Dic43—21no—
636C22⋊Dic43—21no—
637C22⋊Dic43—21no—
638C22⋊Dic43—21no—
639C22⋊Dic43—21no—
640C22⋊Dic43—21no—
641C22⋊Dic43C2×D411yescharacteristic
642C22⋊Dic43C2×D411yescharacteristic
643#10621883—22no—
644#10621883—22no—
645#10621883—41no—
646#10621883—41no—
647#10621883—41no—
648#10621882—41no—
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⋊Dic43C2×D411yescharacteristic
672C4⋊Dic43C2411yescharacteristic
673C4⋊Dic43C2411yescharacteristic
674C4⋊Dic43C2411yescharacteristic
675C4⋊Dic43C2411yescharacteristic
676Dic43⋊C4—21no—
677Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
690Dic43⋊C4C2×D411yescharacteristic
691Dic43⋊C4C2×D411yescharacteristic
692Dic43⋊C4C2×D411yescharacteristic
693C4×Dic43—21no—
694C4×Dic43—21no—
695C4×Dic43—21no—
696C4×Dic43—21no—
697C4×Dic43—21no—
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
710Dic172—22no—
711Dic172—41no—
712#10621873—41no—
713#10621872—22no—
714#10621872—22no—
715#10621872—41no—
716C8×D43—22no—
717C8×D43—22no—
718C8×D43—41no—
719C8×D43—41no—
720C8×D43—41no—
721C23×C43—21no—
722C23×C43—21no—
723C23×C43—21no—
724C23×C43—21no—
725C23×C43—42no—
726C23×C43—42no—
727C23×C43—42no—
728C23×C43—81no—
729C23×C43—81no—
730C23×C43—81no—
731C23×C43C22×D411yescharacteristic
732C23×C43C22×D411yescharacteristic
733C22×D43—22no—
734C22×D43—21no—
735C22×D43—41no—
736C22×D43—41no—
737C22×D43—42no—
738C22×D43—42no—
739C22×D43—81no—
740C22×D43—81no—
741C22×D43—81no—
742C22×D43—81no—
743C22×D43C22×D411yescharacteristic
744C22×D43C22×D411yescharacteristic
745C22×D43C22×D411yescharacteristic
746D4×C43—21no—
747D4×C43—21no—
748D4×C43—21no—
749D4×C43—21no—
750D4×C43—21no—
751D4×C43—21no—
752D4×C43—21no—
753D4×C43—41no—
754D4×C43—42no—
755D4×C43—42no—
756D4×C43—42no—
757D4×C43—81no—
758D4×C43—81no—
759D4×C43—81no—
760D4×C43—81no—
761D4×C43—81no—
762D4×C43C2×#4112yes—
763C2×C4×C43—21no—
764C2×C4×C43—21no—
765C2×C4×C43—21no—
766C2×C4×C43—21no—
767C2×C4×C43—21no—
768C2×C4×C43—21no—
769C2×C4×C43—21no—
770C2×C4×C43—21no—
771C2×C4×C43—81no—
772C2×C4×C43—81no—
773C2×C4×C43—81no—
774C2×C4×C43C22×D411yescharacteristic
775C2×C4×C43C22×D411yescharacteristic
776C2×C4×C43C22×D411yescharacteristic
777C2×C4×C43C22×D411yescharacteristic
778C2×C4×C43C2511yescharacteristic
779C22⋊D43—22no—
780C22⋊D43—24no—
781C22⋊D43—22no—
782C22⋊D43—41no—
783C22⋊D43—41no—
784C22⋊D43—42no—
785C22⋊D43—42no—
786C22⋊D43—42no—
787C22⋊D43—42no—
788C22⋊D43—42no—
789C22⋊D43—42no—
790C22⋊D43—42no—
791C22⋊D43—42no—
792C22⋊D43—42no—
793C22⋊D43—81no—
794C22⋊D43—81no—
795C22⋊D43—81no—
796C22⋊D43—81no—
797C22⋊D43—81no—
798C22⋊D43—81no—
799C2×Dic43—21no—
800C2×Dic43—22no—
801C2×Dic43—24no—
802C2×Dic43—21no—
803C2×Dic43—21no—
804C2×Dic43—21no—
805C2×Dic43—21no—
806C2×Dic43—21no—
807C2×Dic43—21no—
808C2×Dic43—42no—
809C2×Dic43—42no—
810C2×Dic43—42no—
811C2×Dic43—42no—
812C2×Dic43—42no—
813C2×Dic43—42no—
814C2×Dic43—81no—
815C2×Dic43—81no—
816C2×Dic43C22×D411yescharacteristic
817C2×Dic43C22×D411yescharacteristic
818C2×Dic43C22×D411yescharacteristic
819C2×Dic43C22×D411yescharacteristic
820C2×Dic43C22×D411yescharacteristic
821D172—22no—
822D172—21no—
823D172—21no—
824D172—41no—
825D172—81no—
826C4×D43—22no—
827C4×D43—21no—
828C4×D43—21no—
829C4×D43—21no—
830C4×D43—21no—
831C4×D43—22no—
832C4×D43—42no—
833C4×D43—81no—
834C4×D43—81no—
835C4×D43—81no—
836C4×D43—81no—
837C4×D43C2×#4112yes—
838C4×D43H(5,𝔽2)12yes—
839Dic86—21no—
840Dic86—22no—
841Dic86—21no—
842Dic86—21no—
843Dic86—21no—
844Dic86—21no—
845Dic86—42no—
846Dic86—81no—
847Dic86—81no—
848Dic86C2×#4112yes—
849C8×C43—21no—
850C8×C43—21no—
851C8×C43—21no—
852C8×C43—21no—
853C43⋊C8—21no—
854C43⋊C8—21no—
855C43⋊C8—21no—
856C43⋊C8—21no—
857#61196—431nomaximal, Sylow
858C22×C43—21no—
859C22×C43—21no—
860C22×C43—21no—
861C22×C43—21no—
862C22×C43—21no—
863C22×C43—22no—
864C22×C43—21no—
865C22×C43—41no—
866C22×C43—41no—
867C22×C43—41no—
868C22×C43—41no—
869C22×C43—41no—
870C22×C43—41no—
871C22×C43—41no—
872C22×C43—41no—
873C22×C43—41no—
874C22×C43—41no—
875C22×C43—41no—
876C22×C43—84no—
877C22×C43—162no—
878C22×C43C23×D411yescharacteristic
879C2×D43—21no—
880C2×D43—21no—
881C2×D43—21no—
882C2×D43—21no—
883C2×D43—21no—
884C2×D43—21no—
885C2×D43—21no—
886C2×D43—21no—
887C2×D43—41no—
888C2×D43—41no—
889C2×D43—41no—
890C2×D43—82no—
891C2×D43—162no—
892C2×D43—162no—
893C2×D43#54612yes—
894C4×C43—21no—
895C4×C43—21no—
896C4×C43—21no—
897C4×C43—21no—
898C4×C43—41no—
899C4×C43—41no—
900C4×C43—41no—
901C4×C43—41no—
902C4×C43C22×#4111yescharacteristic
903C4×C43C2×H(5,𝔽2)11yescharacteristic
904Dic43—21no—
905Dic43—21no—
906Dic43—21no—
907Dic43—22no—
908Dic43—21no—
909Dic43—41no—
910Dic43—41no—
911Dic43—41no—
912Dic43—41no—
913Dic43—41no—
914Dic43—41no—
915Dic43#54612yes—
916#3493—431no—
917#3488—431no—
918#3326—431no—
919#3326—431no—
920#3324—431no—
921#3324—431no—
922#3319—431no—
923#3319—431no—
924#3318—431no—
925#3318D4311yescharacteristic, complemented
926#3317—431no—
927#3317—431no—
928#3313—431no—
929#3313—431no—
930#3305—431no—
931#3305—431no—
932#3296—431no—
933#3296—431no—
934#3136—431no—
935#3099—431no—
936C2×#482—431no—
937#3083—431no—
938#3061—431no—
939#3055—431no—
940#3045—431no—
941#3012—431no—
942#3002—431no—
943#2952—431no—
944#2933—431no—
945#2897—431no—
946#2896—431no—
947C2×C43—41no—
948C2×C43—42no—
949C2×C43—41no—
950C2×C43—81no—
951C2×C43—81no—
952C2×C43—81no—
953C2×C43C2×#54611yescharacteristic
954C2×C43#358411yescharacteristic
955C2×C43#358511yescharacteristic
956D43—22no—
957D43—41no—
958D43—41no—
959D43—81no—
960C2×H(5,𝔽2)—431no—
961C22×#41—431no—
962C2×AGL(1,ℤ/8)—431no—
963C2×#135—431no—
964C2×#135—431no—
965C2×#131—431no—
966C22×M16—431no—
967#556—431no—
968#556—431no—
969#556—861no—
970#555—431no—
971#555—431no—
972#555—861no—
973#553—431no—
974#553—861no—
975#553C2×D4311yescharacteristic, complemented
976#552—431no—
977#552—431no—
978#552—861no—
979#550—431no—
980#550—431no—
981#548—431no—
982#548—431no—
983#546—431no—
984#546—431no—
985#546—861no—
986#546—861no—
987D42—431no—
988D42—861no—
989D42—861no—
990D42C2×D4311yescharacteristic
991#544—431no—
992#538—861no—
993#538—861no—
994#537—431no—
995#537—431no—
996#537—861no—
997#535—431no—
998#535—861no—
999#529—861no—
1000#529—861no—
1001#525—431no—
1002#525—431no—
1003#525—861no—
1004C2×#121—431no—
1005C2×#121—861no—
1006#520—431no—
1007#520—431no—
1008#520—431no—
1009C2×#117—431no—
1010#490—431no—
1011#490C2×D4311yescharacteristic, complemented
1012#489—431no—
1013#489—431no—
1014#488—431no—
1015#488—431no—
1016#486—431no—
1017#486—431no—
1018#485—431no—
1019#485—431no—
1020#483—431no—
1021#483—431no—
1022#482—431no—
1023#482—431no—
1024#482—431no—
1025#482—431no—
1026#482—431no—
1027#482—431no—
1028#482—431no—
1029#482—431no—
1030#482—431no—
1031#482C2×D4311yescharacteristic, complemented
1032#481—431no—
1033#481C2×D4311yescharacteristic, complemented
1034#479—431no—
1035#479—431no—
1036#478—431no—
1037#478C2×D4311yescharacteristic, complemented
1038#477—431no—
1039#477—431no—
1040#474—431no—
1041#474—431no—
1042#469—431no—
1043#469C2×D4311yescharacteristic, complemented
1044#468—431no—
1045#468—431no—
1046#468—431no—
1047#468—431no—
1048#468—431no—
1049#468—431no—
1050#467—431no—
1051#467—431no—
1052#466—431no—
1053#466—431no—
1054#466—431no—
1055#466C2×D4311yescharacteristic, complemented
1056#465—431no—
1057#465—431no—
1058#464—431no—
1059#464—431no—
1060#463—431no—
1061#463—431no—
1062#460—431no—
1063#460—431no—
1064#459—431no—
1065#459C2×D4311yescharacteristic, complemented
1066#452—431no—
1067#452—431no—
1068#452—431no—
1069#452—431no—
1070#451—431no—
1071#450—431no—
1072#450—431no—
1073#450—431no—
1074#449—431no—
1075#449—431no—
1076#449—431no—
1077#449—431no—
1078#448—431no—
1079#447—431no—
1080#447C2×D4311yescharacteristic, complemented
1081#447C2×D4311yescharacteristic, complemented
1082#442—431no—
1083#442C2×D4311yescharacteristic, complemented
1084#441—431no—
1085#441—431no—
1086C4×SD16—431no—
1087C4×SD16—431no—
1088C4×SD16—431no—
1089C4×SD16—431no—
1090#436—431no—
1091#436—431no—
1092#435—431no—
1093#435—431no—
1094#435—431no—
1095#435C2×D4311yescharacteristic, complemented
1096C8×D4—431no—
1097C8×D4—431no—
1098#428—431no—
1099C2×#107—431no—
1100C2×#106—431no—
1101#424—431no—
1102#419—431no—
1103#419—431no—
1104#418—431no—
1105#418—431no—
1106#418—431no—
1107#418—431no—
1108#418C2×D4311yescharacteristic, complemented
1109#417—431no—
1110#417—431no—
1111#417—431no—
1112#417—431no—
1113#417—431no—
1114#417—431no—
1115#417—431no—
1116#416—431no—
1117#416—431no—
1118#416—431no—
1119#416—431no—
1120#416—431no—
1121#416—431no—
1122#416—431no—
1123#416—431no—
1124C2×#102—431no—
1125C2×#102—431no—
1126C2×#102—431no—
1127C2×#102C2×D4311yescharacteristic, complemented
1128#408—431no—
1129C2×C22⋊C8—431no—
1130#405—431no—
1131C43#6119611yescharacteristic, complemented, Sylow
1132H(5,𝔽2)—864no—
1133H(5,𝔽2)—1722no—
1134C2×#41—431no—
1135C2×#41—431no—
1136C2×#41—431no—
1137C2×#41—431no—
1138C2×#41—431no—
1139C2×#41—431no—
1140C2×#41—431no—
1141C2×#41—431no—
1142C2×#41—861no—
1143C2×#41—861no—
1144C2×#41—861no—
1145C2×#41—864no—
1146C2×#41—1722no—
1147C22×Q8—431no—
1148C22×D4—21no—
1149C22×D4—431no—
1150C22×D4—431no—
1151C22×D4—861no—
1152C22×D4—861no—
1153C22×D4—861no—
1154C22×D4—861no—
1155C22×D4—861no—
1156C22×D4—861no—
1157C22×D4C22×D4311yescharacteristic
1158C22×D4C22×D4311yescharacteristic
1159C23×C4—431no—
1160C23×C4—861no—
1161AGL(1,ℤ/8)—1722no—
1162#135—864no—
1163#135—1722no—
1164C2×Q16—431no—
1165C2×Q16—431no—
1166C2×SD16—431no—
1167C2×SD16—431no—
1168C2×SD16—431no—
1169C2×SD16—431no—
1170C2×SD16—431no—
1171C2×SD16—431no—
1172C2×D8—431no—
1173C2×D8C22×D4311yescharacteristic
1174C2×D8C22×D4311yescharacteristic
1175C2×D8C22×D4311yescharacteristic
1176#131—1722no—
1177C2×M16—431no—
1178C2×M16—431no—
1179C2×M16—431no—
1180C2×M16—431no—
1181C2×M16—431no—
1182C2×M16—1722no—
1183C2×M16C22×D4311yescharacteristic
1184C22×C8—431no—
1185C22×C8—431no—
1186C22×C8—431no—
1187C22×C8—431no—
1188C22×C8—431no—
1189C22×C8C22×D4311yescharacteristic
1190C4⋊Q8—431no—
1191C4⋊Q8—431no—
1192C4⋊Q8—861no—
1193#127—431no—
1194#127—861no—
1195#127—861no—
1196#127C22×D4311yescharacteristic
1197#126—21no—
1198#126—861no—
1199#126—861no—
1200#126—861no—
1201#126—861no—
1202#126—861no—
1203#126—861no—
1204#126—861no—
1205#125—431no—
1206#125—861no—
1207#125—861no—
1208#125—861no—
1209#125C22×D4311yescharacteristic
1210#124—431no—
1211#124—431no—
1212#124—861no—
1213#124—861no—
1214#124—861no—
1215#124—861no—
1216#124—861no—
1217#124—861no—
1218#124—861no—
1219#124—861no—
1220#123—21no—
1221#123—431no—
1222#123—431no—
1223#123—861no—
1224#123—861no—
1225#123—861no—
1226#123—861no—
1227#123—861no—
1228#123—861no—
1229C22⋊Q8—431no—
1230C22⋊Q8—431no—
1231C22⋊Q8—431no—
1232C22⋊Q8—431no—
1233C22⋊Q8—431no—
1234C22⋊Q8—431no—
1235C22⋊Q8—431no—
1236C22⋊Q8—431no—
1237C22⋊Q8—861no—
1238C22⋊Q8—861no—
1239C22⋊Q8—861no—
1240C22⋊Q8—861no—
1241C22⋊Q8—861no—
1242C22⋊Q8—861no—
1243#121—21no—
1244#121—21no—
1245#121—431no—
1246#121—431no—
1247#121—431no—
1248#121—431no—
1249#121—431no—
1250#121—431no—
1251#121—431no—
1252#121—431no—
1253#121—861no—
1254#121—861no—
1255#121—861no—
1256#121—861no—
1257#121—861no—
1258#121—861no—
1259#121—861no—
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#121—861no—
1273#121—861no—
1274#121—861no—
1275#121C22×D4311yescharacteristic
1276#121C22×D4311yescharacteristic
1277#121C22×D4311yescharacteristic
1278#121C22×D4311yescharacteristic
1279#120—21no—
1280#120—21no—
1281#120—431no—
1282#120—431no—
1283#120—861no—
1284#120—861no—
1285#120—861no—
1286#120—861no—
1287#120—861no—
1288#120—861no—
1289#120—861no—
1290C4×Q8—431no—
1291C4×Q8—431no—
1292C4×Q8—431no—
1293C4×Q8—431no—
1294C4×Q8—861no—
1295C4×Q8—861no—
1296C4×Q8—861no—
1297C4×D4—21no—
1298C4×D4—431no—
1299C4×D4—431no—
1300C4×D4—431no—
1301C4×D4—431no—
1302C4×D4—431no—
1303C4×D4—861no—
1304C4×D4—861no—
1305C4×D4—861no—
1306C4×D4—861no—
1307C4×D4—861no—
1308C4×D4—861no—
1309C4×D4—861no—
1310C4×D4—861no—
1311C4×D4—861no—
1312C4×D4—861no—
1313C4×D4—861no—
1314C4×D4—861no—
1315C4×D4—861no—
1316C4×D4—861no—
1317C4×D4C22×D4311yescharacteristic
1318C4×D4C22×D4311yescharacteristic
1319C4×D4C22×D4311yescharacteristic
1320#117—431no—
1321#117—431no—
1322#117—431no—
1323#117—431no—
1324#117—431no—
1325#117—431no—
1326#117—431no—
1327#117—861no—
1328#117—861no—
1329#117—861no—
1330#117—861no—
1331#117—861no—
1332#117—861no—
1333#117—861no—
1334#117—861no—
1335#117C22×D4311yescharacteristic
1336C2×C4⋊C4—431no—
1337C2×C4⋊C4—431no—
1338C2×C4⋊C4—431no—
1339C2×C4⋊C4—431no—
1340C2×C4⋊C4—861no—
1341C2×C4⋊C4—861no—
1342C2×C4⋊C4C22×D4311yescharacteristic
1343C2×C22⋊C4—861no—
1344C2×C22⋊C4—861no—
1345C2×C22⋊C4—861no—
1346C2×C22⋊C4—861no—
1347C2×C42—861no—
1348#107—431no—
1349#107—431no—
1350#107—431no—
1351#107—431no—
1352#107—431no—
1353#107C22×D4311yescharacteristic
1354#106—431no—
1355#106—431no—
1356#106—431no—
1357#106—431no—
1358#106C22×D4311yescharacteristic
1359#106C22×D4311yescharacteristic
1360C4⋊C8—431no—
1361C4⋊C8—431no—
1362C4⋊C8—431no—
1363C4⋊C8C22×D4311yescharacteristic
1364#103—431no—
1365#103—431no—
1366#103—431no—
1367#103—431no—
1368#103—431no—
1369#103—431no—
1370#103—431no—
1371#103—431no—
1372#103—431no—
1373#103—431no—
1374#103—431no—
1375#103—431no—
1376#103—431no—
1377#103—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#102—431no—
1390#102—431no—
1391#102—431no—
1392#102—431no—
1393#102—431no—
1394#102C22×D4311yescharacteristic
1395#102C22×D4311yescharacteristic
1396#102C22×D4311yescharacteristic
1397#102C22×D4311yescharacteristic
1398#102C22×D4311yescharacteristic
1399#102C22×D4311yescharacteristic
1400#102C22×D4311yescharacteristic
1401#102C22×D4311yescharacteristic
1402#102C22×D4311yescharacteristic
1403#102C22×D4311yescharacteristic
1404C22⋊C8—431no—
1405C22⋊C8—431no—
1406C22⋊C8—431no—
1407C22⋊C8—431no—
1408C22⋊C8—431no—
1409C22⋊C8—431no—
1410C22⋊C8C22×D4311yescharacteristic
1411C22⋊C8C22×D4311yescharacteristic
1412#97—431no—
1413#97C22×D4311yescharacteristic
1414C4×C8—431no—
1415C4×C8—431no—
1416C24—21no—
1417C24—21no—
1418C24—431no—
1419C24—861no—
1420C24—861no—
1421#41—434no—
1422#41—862no—
1423#41—862no—
1424#41—862no—
1425#41—862no—
1426#41—862no—
1427#41—862no—
1428#41—862no—
1429#41—862no—
1430#41—862no—
1431#41—862no—
1432#41—862no—
1433#41—1721no—
1434#41—1724no—
1435#41—1721no—
1436#41—1721no—
1437#41—1721no—
1438#41—1724no—
1439#41—1724no—
1440C2×Q8—431no—
1441C2×Q8—431no—
1442C2×Q8—431no—
1443C2×Q8—431no—
1444C2×Q8—861no—
1445C2×Q8—862no—
1446C2×Q8—861no—
1447C2×Q8—861no—
1448C2×Q8—1721no—
1449C2×D4—22no—
1450C2×D4—22no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—21no—
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—41no—
1460C2×D4—41no—
1461C2×D4—82no—
1462C2×D4—431no—
1463C2×D4—431no—
1464C2×D4—431no—
1465C2×D4—431no—
1466C2×D4—431no—
1467C2×D4—431no—
1468C2×D4—431no—
1469C2×D4—861no—
1470C2×D4—862no—
1471C2×D4—862no—
1472C2×D4—861no—
1473C2×D4—861no—
1474C2×D4—861no—
1475C2×D4—861no—
1476C2×D4—861no—
1477C2×D4—862no—
1478C2×D4—861no—
1479C2×D4—861no—
1480C2×D4—861no—
1481C2×D4—861no—
1482C2×D4—861no—
1483C2×D4—861no—
1484C2×D4—861no—
1485C2×D4—861no—
1486C2×D4—861no—
1487C2×D4—861no—
1488C2×D4—861no—
1489C2×D4—3442no—
1490C2×D4—3442no—
1491C2×D4—1721no—
1492C2×D4—1724no—
1493C2×D4—1724no—
1494C2×D4—1724no—
1495C2×D4—1724no—
1496C2×D4D4×D4311yescharacteristic
1497C2×D4C23×D4311yescharacteristic
1498C2×D4C23×D4311yescharacteristic
1499C2×D4C23×D4311yescharacteristic
1500C2×D4C23×D4311yescharacteristic
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—21no—
1504C22×C4—431no—
1505C22×C4—431no—
1506C22×C4—431no—
1507C22×C4—431no—
1508C22×C4—431no—
1509C22×C4—431no—
1510C22×C4—862no—
1511C22×C4—862no—
1512C22×C4—861no—
1513C22×C4—861no—
1514C22×C4—861no—
1515C22×C4—861no—
1516C22×C4—861no—
1517C22×C4—861no—
1518C22×C4—861no—
1519C22×C4—861no—
1520C22×C4—861no—
1521C22×C4—861no—
1522C22×C4—861no—
1523C22×C4—861no—
1524C22×C4—861no—
1525C22×C4—861no—
1526C22×C4—1724no—
1527C22×C4C23×D4311yescharacteristic
1528C22×C4C23×D4311yescharacteristic
1529Q16—862no—
1530Q16—1721no—
1531SD16—862no—
1532SD16—862no—
1533SD16—1721no—
1534SD16—1721no—
1535SD16—1721no—
1536SD16—1721no—
1537D8—22no—
1538D8—41no—
1539D8—41no—
1540D8—1721no—
1541M16—41no—
1542M16—862no—
1543M16—862no—
1544M16—1721no—
1545M16—1721no—
1546M16—1721no—
1547C2×C8—41no—
1548C2×C8—431no—
1549C2×C8—431no—
1550C2×C8—431no—
1551C2×C8—431no—
1552C2×C8—862no—
1553C2×C8—862no—
1554C2×C8—1721no—
1555C2×C8—1721no—
1556C2×C8—1721no—
1557C2×C8C23×D4311yescharacteristic
1558C2×C8C23×D4311yescharacteristic
1559C2×C8C23×D4311yescharacteristic
1560C2×C8C23×D4311yescharacteristic
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—431no—
1565C4⋊C4—431no—
1566C4⋊C4—431no—
1567C4⋊C4—431no—
1568C4⋊C4—431no—
1569C4⋊C4—431no—
1570C4⋊C4—431no—
1571C4⋊C4—431no—
1572C4⋊C4—431no—
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⋊C4—861no—
1589C4⋊C4—861no—
1590C4⋊C4—861no—
1591C4⋊C4D4×D4311yescharacteristic
1592C4⋊C4C23×D4311yescharacteristic
1593C4⋊C4C23×D4311yescharacteristic
1594C4⋊C4C23×D4311yescharacteristic
1595C4⋊C4C23×D4311yescharacteristic
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—431no—
1604C22⋊C4—431no—
1605C22⋊C4—431no—
1606C22⋊C4—431no—
1607C22⋊C4—431no—
1608C22⋊C4—431no—
1609C22⋊C4—431no—
1610C22⋊C4—431no—
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⋊C4—861no—
1632C22⋊C4—861no—
1633C22⋊C4—861no—
1634C22⋊C4—861no—
1635C22⋊C4D4×D4311yescharacteristic
1636C22⋊C4D4×D4311yescharacteristic
1637C42—21no—
1638C42—431no—
1639C42—861no—
1640C42—861no—
1641C42—861no—
1642C42—861no—
1643C42—861no—
1644C42—861no—
1645C42—861no—
1646C42—861no—
1647C42—861no—
1648C42—861no—
1649C42C23×D4311yescharacteristic
1650C23—21no—
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—42no—
1655C23—42no—
1656C23—42no—
1657C23—81no—
1658C23—81no—
1659C23—81no—
1660C23—431no—
1661C23—431no—
1662C23—431no—
1663C23—862no—
1664C23—861no—
1665C23—3441no—
1666C23—3441no—
1667C23—3441no—
1668C23—3441no—
1669C23—1721no—
1670C23—1721no—
1671C23—1722no—
1672C23—1722no—
1673C23C2×D4×D4311yescharacteristic
1674C23C2×D4×D4311yescharacteristic
1675Q8—432no—
1676Q8—862no—
1677Q8—861no—
1678Q8—861no—
1679Q8—861no—
1680Q8—861no—
1681Q8—861no—
1682Q8—3441no—
1683Q8—3441no—
1684Q8—1722no—
1685D4—21no—
1686D4—21no—
1687D4—21no—
1688D4—21no—
1689D4—21no—
1690D4—21no—
1691D4—21no—
1692D4—41no—
1693D4—42no—
1694D4—42no—
1695D4—42no—
1696D4—81no—
1697D4—81no—
1698D4—81no—
1699D4—81no—
1700D4—81no—
1701D4—862no—
1702D4—862no—
1703D4—862no—
1704D4—864no—
1705D4—861no—
1706D4—861no—
1707D4—3441no—
1708D4—3441no—
1709D4—3441no—
1710D4—3441no—
1711D4—3441no—
1712D4—3441no—
1713D4—3441no—
1714D4—1721no—
1715D4—1722no—
1716D4—1721no—
1717D4—1721no—
1718D4—1722no—
1719D4—1722no—
1720D4—1722no—
1721D4—1722no—
1722D4—1722no—
1723D4—1722no—
1724D4—1722no—
1725D4—1722no—
1726D4#41×D4312yes—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—81no—
1736C2×C4—81no—
1737C2×C4—81no—
1738C2×C4—431no—
1739C2×C4—432no—
1740C2×C4—432no—
1741C2×C4—431no—
1742C2×C4—431no—
1743C2×C4—431no—
1744C2×C4—431no—
1745C2×C4—862no—
1746C2×C4—862no—
1747C2×C4—862no—
1748C2×C4—864no—
1749C2×C4—861no—
1750C2×C4—861no—
1751C2×C4—861no—
1752C2×C4—861no—
1753C2×C4—861no—
1754C2×C4—861no—
1755C2×C4—861no—
1756C2×C4—861no—
1757C2×C4—861no—
1758C2×C4—861no—
1759C2×C4—861no—
1760C2×C4—3441no—
1761C2×C4—3441no—
1762C2×C4—3441no—
1763C2×C4—3441no—
1764C2×C4—3441no—
1765C2×C4—3441no—
1766C2×C4—1722no—
1767C2×C4—1722no—
1768C2×C4—1722no—
1769C2×C4—1722no—
1770C2×C4—1722no—
1771C2×C4—1722no—
1772C2×C4—1722no—
1773C2×C4C2×D4×D4311yescharacteristic
1774C2×C4C2×D4×D4311yescharacteristic
1775C2×C4C2×D4×D4311yescharacteristic
1776C2×C4C2×D4×D4311yescharacteristic
1777C2×C4C24×D4311yescharacteristic
1778C8—21no—
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—861no—
1783C8—861no—
1784C8—861no—
1785C8—861no—
1786C22—21no—
1787C22—21no—
1788C22—22no—
1789C22—21no—
1790C22—21no—
1791C22—21no—
1792C22—21no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—84no—
1805C22—162no—
1806C22—432no—
1807C22—861no—
1808C22—861no—
1809C22—861no—
1810C22—861no—
1811C22—861no—
1812C22—861no—
1813C22—861no—
1814C22—861no—
1815C22—3442no—
1816C22—1721no—
1817C22—1721no—
1818C22—1721no—
1819C22—6882no—
1820C22—6882no—
1821C22C22×D4×D4311yescharacteristic
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—21no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—432no—
1831C4—861no—
1832C4—861no—
1833C4—862no—
1834C4—861no—
1835C4—861no—
1836C4—1721no—
1837C4—1721no—
1838C4—1721no—
1839C4—1721no—
1840C4—1721no—
1841C4—1721no—
1842C4C2×#41×D4311yescharacteristic
1843C4H(5,𝔽2)×D4311yescharacteristic
1844C2—41no—
1845C2—41no—
1846C2—42no—
1847C2—81no—
1848C2—81no—
1849C2—81no—
1850C2—862no—
1851C2—3441no—
1852C2—1721no—
1853C2—1721no—
1854C2#546×D4311yescharacteristic
1855C2#1914936311yescharacteristic
1856C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3318C2
socleC22×C43C23×D4
hypercenter#3318D43
hypocenterC43#61196
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #19148311C2semidirect
2. #19148255C2semidirect
3. #19146854C2semidirect
4. #19146842C2semidirect
5. #19146826C2semidirect
6. #19146822C2semidirect
7. #19146756C2semidirect
8. #19146744C2semidirect
9. #19146729C2semidirect
10. #19146724C2semidirect
11. #19146720C2semidirect
12. #19146664C2semidirect
13. #19146663C2semidirect
14. #19146548C2semidirect
15. #19146540C2semidirect
16. #19146427C2semidirect
17. #19146426C2semidirect
18. #19144950C2semidirect
19. #19144585C2semidirect
20. #482×D43C2semidirect
21. #19144447C2semidirect
22. #19144260C2semidirect
23. #19144213C2semidirect
24. #19144129C2semidirect
25. #19143894C2semidirect
26. #19143808C2semidirect
27. #19143477C2semidirect
28. #19143318C2semidirect
29. #19143116C2semidirect
30. #19143109C2semidirect
31. C43×#3318C2semidirect
34. C2×#13063349C22semidirect
36. C2×#13063344C22semidirect
37. C2×#13063331C22semidirect
38. C2×M16×D43C22semidirect
39. #14583619C22semidirect
40. #14583617C22semidirect
42. #14583614C22semidirect
44. #14583613C22semidirect
46. #14583596C22semidirect
47. #14583587C22semidirect
49. #14583584C22semidirect
61. #14583529C22semidirect
65. #14583478C22semidirect
71. #14583409C22semidirect
76. #14583380C22semidirect
78. #14583378C22semidirect
79. #117×D43C22semidirect
80. #14583262C22semidirect
81. #14583259C22semidirect
82. #14583257C22semidirect
83. #14583256C22semidirect
84. #14583252C22semidirect
85. #14583245C22semidirect
86. #14583244C22semidirect
87. #14583243C22semidirect
88. #14583241C22semidirect
89. #14583231C22semidirect
90. #14583229C22semidirect
91. #14583226C22semidirect
92. #14583225C22semidirect
93. #14583224C22semidirect
94. #14583223C22semidirect
95. #14583222C22semidirect
96. #14583221C22semidirect
97. #14583221C22semidirect
98. #14583220C22semidirect
99. #14583220C22semidirect
100. #14583216C22semidirect
101. #14583209C22semidirect
102. #14583203C22semidirect
103. #14583197C22semidirect
104. #14583195C22semidirect
105. #14583193C22semidirect
106. #14583179C22semidirect
107. #14583177C22semidirect
108. #14583150C22semidirect
109. #14583145C22semidirect
110. #14583144C22semidirect
111. #14583144C22semidirect
112. #14583143C22semidirect
113. #14583143C22semidirect
114. #14583143C22semidirect
115. #14583141C22semidirect
116. #14583140C22semidirect
117. #14583134C22semidirect
118. #14583132C22semidirect
119. #14583132C22semidirect
120. #14583129C22semidirect
121. #14583127C22semidirect
122. #14583122C22semidirect
123. #14583120C22semidirect
124. #14583114C22semidirect
125. #14583112C22semidirect
126. #14583098C22semidirect
127. #14583096C22semidirect
128. #14583092C22semidirect
129. #14583063C22semidirect
130. #14583062C22semidirect
131. #14583062C22semidirect
132. #14583062C22semidirect
133. #14583057C22semidirect
134. #14583051C22semidirect
135. #14583050C22semidirect
136. #14583050C22semidirect
137. #14583042C22semidirect
138. #14583041C22semidirect
139. #14583041C22semidirect
140. #14583041C22semidirect
141. #14583037C22semidirect
142. #14583031C22semidirect
143. #14583011C22semidirect
144. #14583007C22semidirect
145. #14583005C22semidirect
146. #14582990C22semidirect
147. #14582990C22semidirect
148. C4×#10621883C22semidirect
149. C4×#10621883C22semidirect
150. #14582977C22semidirect
151. #14582975C22semidirect
152. #14582973C22semidirect
153. #14582973C22semidirect
154. #14582972C22semidirect
155. #14582964C22semidirect
156. C8×C22⋊D43C22semidirect
157. #14582938C22semidirect
158. #107×D43C22semidirect
159. #106×D43C22semidirect
160. #14582924C22semidirect
161. #14582909C22semidirect
162. #14582907C22semidirect
163. #14582904C22semidirect
164. #14582904C22semidirect
165. #14582902C22semidirect
166. #14582902C22semidirect
167. #14582898C22semidirect
170. #14582897C22semidirect
171. #14582897C22semidirect
172. #14582897C22semidirect
173. #14582897C22semidirect
174. #14582896C22semidirect
176. #14582892C22semidirect
177. #14582892C22semidirect
178. #14582892C22semidirect
179. #14582892C22semidirect
180. #14582892C22semidirect
181. #14582892C22semidirect
182. #102×D43C22semidirect
183. #102×D43C22semidirect
184. #102×D43C22semidirect
185. #14582864C22semidirect
186. C22⋊C8×D43C22semidirect
187. #14582856C22semidirect
188. C43×#553C22semidirect
190. C43×#490C22semidirect
191. C43×#482C22semidirect
192. C43×#481C22semidirect
193. C43×#478C22semidirect
194. C43×#469C22semidirect
195. C43×#466C22semidirect
196. C43×#459C22semidirect
197. C43×#447C22semidirect
198. C43×#447C22semidirect
199. C43×#442C22semidirect
200. C43×#435C22semidirect
201. C43×#418C22semidirect
202. C2×#102×C43C22semidirect
925. #3318D43semidirect
975. #553C2×D43semidirect
1011. #490C2×D43semidirect
1031. #482C2×D43semidirect
1033. #481C2×D43semidirect
1037. #478C2×D43semidirect
1043. #469C2×D43semidirect
1055. #466C2×D43semidirect
1065. #459C2×D43semidirect
1080. #447C2×D43semidirect
1081. #447C2×D43semidirect
1083. #442C2×D43semidirect
1095. #435C2×D43semidirect
1108. #418C2×D43semidirect
1127. C2×#102C2×D43semidirect
1131. C43#61196semidirect

Maximal subgroups

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

subgroupindex
#191483112
#191482552
#191468542
#191468422
#191468262
#191468222
#191467562
#191467442
#191467292
#191467242
#191467202
#191466642
#191466632
#191465482
#191465402
#191464272
#191464262
#191449502
#191445852
#482×D432
#191444472
#191442602
#191442132
#191441292
#191438942
#191438082
#191434772
#191433182
#191431162
#191431092
C43×#33182
#6119643