Finite Group Databasebeta

← #25979857

Subgroups — #25979857

Order 11008.

1832 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148576C211yesmaximal, characteristic, complemented
2#19148524C211yesmaximal, characteristic, complemented
3#19147651C211yesmaximal, characteristic, complemented
4#19147548C211yesmaximal, characteristic, complemented
5#19147377C211yesmaximal, characteristic, complemented
6#19147347C211yesmaximal, characteristic, complemented
7#19147170C211yesmaximal, characteristic, complemented
8#19147074C211yesmaximal, characteristic, complemented
9#19147039C211yesmaximal, characteristic, complemented
10#19146895C211yesmaximal, characteristic, complemented
11#19146812C211yesmaximal, characteristic, complemented
12#19146697C211yesmaximal, characteristic, complemented
13#19146612C211yesmaximal, characteristic, complemented
14#19146573C211yesmaximal, characteristic, complemented
15#19146193C211yesmaximal, characteristic, complemented
16#19146124C211yesmaximal, characteristic, complemented
17#19146116C211yesmaximal, characteristic, complemented
18#19145266C211yesmaximal, characteristic, complemented
19#19145218C211yesmaximal, characteristic, complemented
20#19145204C211yesmaximal, characteristic, complemented
21#19144860C211yesmaximal, characteristic, complemented
22#19144841C211yesmaximal, characteristic, complemented
23#19144802C211yesmaximal, characteristic, complemented
24#19144797C211yesmaximal, characteristic, complemented
25#19144703C211yesmaximal, characteristic, complemented
26#19144696C211yesmaximal, characteristic, complemented
27#19143577C211yesmaximal, characteristic, complemented
28#19143466C211yesmaximal, characteristic, complemented
29#19143421C211yesmaximal, characteristic, complemented
30#19143400C211yesmaximal, characteristic, complemented
31C43×#3314C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063351C2211yescharacteristic
34C2×#13063345C2211yescharacteristic
35#14583631C2211yescharacteristic
36#14583627C2211yescharacteristic, complemented
37#14583610C2211yescharacteristic, complemented
38#14583608C2211yescharacteristic
39#14583599—21no—
40#14583595C2211yescharacteristic
41#14583592—21no—
42#14583587—21no—
43#14583584C2211yescharacteristic
44#14583584C2211yescharacteristic, complemented
45#14583583—21no—
46#14583583—21no—
47#14583583C2211yescharacteristic
48#14583575—21no—
49#14583572—21no—
50#14583554C2211yescharacteristic, complemented
51#14583551C2211yescharacteristic
52#14583551C2211yescharacteristic, complemented
53#14583549C2211yescharacteristic
54#14583537C2211yescharacteristic
55#14583536—21no—
56D4×C22⋊D43C2211yescharacteristic
57#14583522C2211yescharacteristic
58#14583509C2211yescharacteristic, complemented
59#14583509C2211yescharacteristic, complemented
60#14583502C2211yescharacteristic
61#14583495—21no—
62#14583495—21no—
63#14583493—21no—
64#14583484—21no—
65#14583454C2211yescharacteristic, complemented
66#14583431—21no—
67#14583431C2211yescharacteristic
68#14583428C2211yescharacteristic
69#125×D43—21no—
70#14583409—21no—
71C2×#13063307—21no—
72#14583382C2211yescharacteristic
73#14583380C2211yescharacteristic, complemented
74#14583380C2211yescharacteristic, complemented
75#14583374C2211yescharacteristic
76C4×#10621902C2211yescharacteristic, complemented
77C4×D4×D43C2211yescharacteristic
78#14583307C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583300C2211yescharacteristic, complemented
81#14583294C2211yescharacteristic, complemented
82#14583292C2211yescharacteristic, complemented
83#14583270C2211yescharacteristic
84#14583268C2211yescharacteristic, complemented
85#14583266C2211yescharacteristic, complemented
86#14583262C2211yescharacteristic
87#14583255C2211yescharacteristic, complemented
88#14583248C2211yescharacteristic, complemented
89#14583241C2211yescharacteristic, complemented
90#14583239C2211yescharacteristic, complemented
91#14583237C2211yescharacteristic, complemented
92#14583236C2211yescharacteristic, complemented
93#14583236C2211yescharacteristic, complemented
94#14583232C2211yescharacteristic, complemented
95#14583230C2211yescharacteristic, complemented
96#14583222C2211yescharacteristic
97#14583217C2211yescharacteristic, complemented
98#14583212C2211yescharacteristic
99#14583206C2211yescharacteristic, complemented
100#14583205C2211yescharacteristic, complemented
101#14583204C2211yescharacteristic, complemented
102#14583202C2211yescharacteristic, complemented
103#14583201C2211yescharacteristic
104#14583201C2211yescharacteristic, complemented
105#14583200C2211yescharacteristic, complemented
106#14583197C2211yescharacteristic
107#14583193C2211yescharacteristic, complemented
108#14583178C2211yescharacteristic, complemented
109#14583176C2211yescharacteristic, complemented
110#14583156C2211yescharacteristic, complemented
111#14583156C2211yescharacteristic, complemented
112#14583155C2211yescharacteristic, complemented
113#14583147C2211yescharacteristic
114#14583145C2211yescharacteristic, complemented
115#14583144C2211yescharacteristic
116#14583144C2211yescharacteristic
117#14583130C2211yescharacteristic, complemented
118#14583128C2211yescharacteristic
119#14583126C2211yescharacteristic, complemented
120#14583124C2211yescharacteristic, complemented
121#14583117C2211yescharacteristic, complemented
122#14583111C2211yescharacteristic, complemented
123#14583107C2211yescharacteristic, complemented
124#14583105C2211yescharacteristic, complemented
125#14583104C2211yescharacteristic
126#14583102C2211yescharacteristic
127#14583102C2211yescharacteristic
128#14583102C2211yescharacteristic, complemented
129#14583098C2211yescharacteristic
130#14583093C2211yescharacteristic
131#14583061C2211yescharacteristic
132#14583060C2211yescharacteristic, complemented
133#14583059C2211yescharacteristic, complemented
134#14583051C2211yescharacteristic
135#14583051C2211yescharacteristic
136#14583050C2211yescharacteristic
137#14583046C2211yescharacteristic
138#14583046C2211yescharacteristic, complemented
139#14583043C2211yescharacteristic
140#14583042C2211yescharacteristic, complemented
141#14583028C2211yescharacteristic, complemented
142#14583027C2211yescharacteristic, complemented
143#14583012C2211yescharacteristic, complemented
144#14583009C2211yescharacteristic
145#14583008C2211yescharacteristic
146#14583008C2211yescharacteristic, complemented
147#14583006C2211yescharacteristic, complemented
148#14583002C2211yescharacteristic, complemented
149#14583002C2211yescharacteristic, complemented
150#14583000C2211yescharacteristic, complemented
151#14582998C2211yescharacteristic, complemented
152#14582998C2211yescharacteristic, complemented
153#14582997C2211yescharacteristic, complemented
154#14582996C2211yescharacteristic
155#14582996C2211yescharacteristic
156#14582996C2211yescharacteristic
157#14582996C2211yescharacteristic, complemented
158#14582991C2211yescharacteristic, complemented
159#14582991C2211yescharacteristic, complemented
160#14582991C2211yescharacteristic, complemented
161#14582990C2211yescharacteristic
162#14582990C2211yescharacteristic, complemented
163#14582990C2211yescharacteristic, complemented
164SD16×Dic43C2211yescharacteristic
165#14582984C2211yescharacteristic, complemented
166#14582981C2211yescharacteristic, complemented
167#14582979C2211yescharacteristic
168#14582979C2211yescharacteristic
169#14582979C2211yescharacteristic, complemented
170#14582975C2211yescharacteristic, complemented
171#14582974C2211yescharacteristic
172#14582971C2211yescharacteristic, complemented
173#14582970C2211yescharacteristic
174#14582967C2211yescharacteristic, complemented
175#14582957C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582955C2211yescharacteristic, complemented
178#14582940C2211yescharacteristic, complemented
179#14582939C2211yescharacteristic, complemented
180C2×#13063258C2211yescharacteristic, complemented
181#14582902C2211yescharacteristic
182#14582901C2211yescharacteristic, complemented
183#14582899C2211yescharacteristic, complemented
184#14582896C2211yescharacteristic, complemented
185#14582857C2211yescharacteristic, complemented
186#14582854C2211yescharacteristic, complemented
187#14582851C2211yescharacteristic, complemented
188C43×#554C2211yescharacteristic, complemented
189C43×#546C2211yescharacteristic
190C43×#489C2211yescharacteristic, complemented
191C43×#484C2211yescharacteristic, complemented
192C43×#480C2211yescharacteristic, complemented
193C43×#474C2211yescharacteristic
194C43×#468C2211yescharacteristic, complemented
195C43×#467C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic
198C43×#450C2211yescharacteristic
199C43×#440C2211yescharacteristic
200C43×#435C2211yescharacteristic, complemented
201C43×#417C2211yescharacteristic
202C2×#102×C43C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621898C2311yescharacteristic
206C2×#10621900—21no—
207C22×C22⋊D43—21no—
208C2×D4×D43C2311yescharacteristic
209C22×C4×D43—21no—
210#13063352—24no—
211#13063351—24no—
212#13063345—24no—
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621877C2311yescharacteristic
227C2×#10621872C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C22×C43⋊C8C2311yescharacteristic
230#13063325C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063323C2311yescharacteristic
233#13063323C2311yescharacteristic
234#13063321C2311yescharacteristic
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318D411yescharacteristic
246#13063318D411yescharacteristic
247#13063317—21no—
248#13063317C2311yescharacteristic
249#13063316—21no—
250#13063316—21no—
251#13063316—21no—
252#13063316D411yescharacteristic
253#13063316C2311yescharacteristic
254#13063316C2311yescharacteristic
255#13063316C2311yescharacteristic
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063315—21no—
262#13063315—21no—
263#13063314C2311yescharacteristic
264#13063312D411yescharacteristic
265#13063311—21no—
266#13063311—21no—
267#13063310—21no—
268#13063310—21no—
269#13063309—21no—
270#13063309—21no—
271#13063308—21no—
272#13063308—21no—
273#13063308—21no—
274#13063307—21no—
275#13063307—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063307D411yescharacteristic
286#13063307D411yescharacteristic
287#13063306—21no—
288#13063305—21no—
289#13063305—21no—
290#13063305D411yescharacteristic
291#13063305C2311yescharacteristic
292#13063305C2311yescharacteristic
293#13063304—21no—
294#13063304C2311yescharacteristic
295#13063304C2311yescharacteristic
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063301—21no—
300#13063301—21no—
301#13063301—21no—
302#13063301C2311yescharacteristic
303#13063299C2311yescharacteristic
304#13063299C2311yescharacteristic
305#13063298—21no—
306#13063298—21no—
307#13063297—21no—
308#13063297—21no—
309#13063297—21no—
310#13063297—21no—
311#13063296—21no—
312#13063296—21no—
313#13063296D411yescharacteristic
314#13063296C2311yescharacteristic
315#13063294—21no—
316#13063293—21no—
317#13063293—21no—
318Q8×Dic43—21no—
319Q8×Dic43C2311yescharacteristic
320Q8×Dic43C2311yescharacteristic
321Q8×Dic43C2311yescharacteristic
322C4×Dic86—21no—
323C4×Dic86C2311yescharacteristic
324#13063290C2311yescharacteristic
325#13063290C2311yescharacteristic
326#13063290C2311yescharacteristic
327#13063290C2311yescharacteristic
328C4×D172—21no—
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331D4×Dic43—21no—
332D4×Dic43—21no—
333D4×Dic43—21no—
334D4×Dic43—21no—
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340#13063287—21no—
341#13063287C2311yescharacteristic
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344#13063287C2311yescharacteristic
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—21no—
349C4×C22⋊D43—21no—
350C4×C22⋊D43C2311yescharacteristic
351C4×C22⋊D43C2311yescharacteristic
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356#13063284—21no—
357#13063284—21no—
358#13063284—21no—
359#13063284C2311yescharacteristic
360#13063284C2311yescharacteristic
361#13063284C2311yescharacteristic
362#13063283—21no—
363#13063283—21no—
364#13063283—21no—
365#13063283—21no—
366#13063283—21no—
367#13063283C2311yescharacteristic
368#13063281—21no—
369C2×C4⋊Dic43—21no—
370C2×C4⋊Dic43C2311yescharacteristic
371C2×Dic43⋊C4—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43—21no—
378C4⋊C4×D43C2311yescharacteristic
379C2×C22⋊Dic43—21no—
380C2×C22⋊Dic43—21no—
381C2×(C2×D43)⋊C4—21no—
382C22⋊C4×D43—21no—
383C42×D43—21no—
384C42×D43C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C22×D4×C43C2311yescharacteristic
440C2×Q16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×M16×C43C2311yescharacteristic
444C22×C8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#125×C43—21no—
447#124×C43C2311yescharacteristic
448#123×C43—21no—
449C22⋊Q8×C43—21no—
450C22⋊Q8×C43—21no—
451C22⋊Q8×C43C2311yescharacteristic
452C22⋊Q8×C43C2311yescharacteristic
453C22⋊Q8×C43C2311yescharacteristic
454#121×C43—21no—
455#121×C43C2311yescharacteristic
456#120×C43—21no—
457C4×Q8×C43C2311yescharacteristic
458C4×D4×C43—21no—
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462C2×C4⋊C4×C43C2311yescharacteristic
463C2×C22⋊C4×C43—21no—
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C24×C43—21no—
482C23×D43—21no—
483#41×C43—22no—
484#41×C43—41no—
485C2×Q8×C43—21no—
486C2×Q8×C43C2411yescharacteristic
487C2×Q8×C43C2411yescharacteristic
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—22no—
492C2×D4×C43—41no—
493C2×D4×C43C2×D411yescharacteristic
494C2×D4×C43C2411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43C2411yescharacteristic
501C22×C4×C43C2411yescharacteristic
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—82no—
511C2×C22⋊D43C2×D411yescharacteristic
512C2×C22⋊D43C2×D411yescharacteristic
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519#10621902—22no—
520#10621902—41no—
521#10621900—82no—
522D4×D43—22no—
523D4×D43—41no—
524#10621898—22no—
525#10621898—22no—
526#10621898—41no—
527#10621898—41no—
528C2×D172—21no—
529C2×D172C2411yescharacteristic
530C2×D172C2411yescharacteristic
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43—21no—
540C2×C4×D43—21no—
541C2×C4×D43—82no—
542C2×C4×D43C2×D411yescharacteristic
543C2×C4×D43C2×D411yescharacteristic
544C2×C4×D43C2411yescharacteristic
545C2×Dic86—21no—
546C2×Dic86C2×D411yescharacteristic
547C2×Dic86C2411yescharacteristic
548C2×Dic86C2411yescharacteristic
549Q16×C43—41no—
550SD16×C43—22no—
551SD16×C43—41no—
552M16×C43—41no—
553C2×C8×C43—41no—
554C2×C8×C43C2411yescharacteristic
555C2×C8×C43C2411yescharacteristic
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43C2×D411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43C2×D411yescharacteristic
578C22⋊C4×C43C2×D411yescharacteristic
579C42×C43—21no—
580C42×C43C2411yescharacteristic
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43C2×D411yescharacteristic
591C22⋊Dic43C2×D411yescharacteristic
592C22⋊Dic43C2×D411yescharacteristic
593C22⋊Dic43C2×D411yescharacteristic
594C22⋊Dic43C2×D411yescharacteristic
595C22⋊Dic43C2×D411yescharacteristic
596#10621885—22no—
597#10621885—41no—
598#10621884—22no—
599#10621884—22no—
600#10621883—22no—
601#10621883—22no—
602#10621883—22no—
603#10621883—41no—
604#10621882—22no—
605#10621882#4114yescomplemented
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4C2×D411yescharacteristic
621(C2×D43)⋊C4C2×D411yescharacteristic
622C4⋊Dic43—21no—
623C4⋊Dic43—21no—
624C4⋊Dic43—21no—
625C4⋊Dic43—21no—
626C4⋊Dic43—21no—
627C4⋊Dic43—21no—
628C4⋊Dic43—21no—
629C4⋊Dic43—21no—
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43C2×D411yescharacteristic
634C4⋊Dic43C2×D411yescharacteristic
635C4⋊Dic43C2×D411yescharacteristic
636C4⋊Dic43C2×D411yescharacteristic
637C4⋊Dic43C2×D411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
639C4⋊Dic43C2411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641C4⋊Dic43C2411yescharacteristic
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664C4×Dic43—21no—
665C4×Dic43—21no—
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×Dic43C2×D411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678#10621877—22no—
679C2×C43⋊C8—22no—
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684D344—22no—
685#10621873—41no—
686#10621873—41no—
687#10621872—22no—
688#10621872—41no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43—42no—
692C23×C43—81no—
693C23×C43—81no—
694C23×C43C22×D411yescharacteristic
695C23×C43C22×D411yescharacteristic
696C22×D43—21no—
697C22×D43—21no—
698C22×D43—42no—
699C22×D43—42no—
700C22×D43—81no—
701C22×D43C22×D411yescharacteristic
702Q8×C43—21no—
703Q8×C43—21no—
704Q8×C43—21no—
705Q8×C43—21no—
706Q8×C43—81no—
707D4×C43—21no—
708D4×C43—21no—
709D4×C43—21no—
710D4×C43—41no—
711D4×C43—42no—
712D4×C43—42no—
713D4×C43—81no—
714D4×C43C2×#4112yes—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—42no—
726C2×C4×C43—81no—
727C2×C4×C43—81no—
728C2×C4×C43—81no—
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C2511yescharacteristic
734C22⋊D43—41no—
735C22⋊D43—41no—
736C22⋊D43—42no—
737C22⋊D43—42no—
738C22⋊D43—42no—
739C22⋊D43—42no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C22⋊D43—81no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—81no—
751C2×Dic43—81no—
752C2×Dic43—81no—
753C2×Dic43—81no—
754C2×Dic43—81no—
755C2×Dic43—81no—
756C2×Dic43C22×D411yescharacteristic
757C2×Dic43C22×D411yescharacteristic
758C2×Dic43C22×D411yescharacteristic
759C2×Dic43C22×D411yescharacteristic
760C2×Dic43C22×D411yescharacteristic
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763D172—21no—
764D172—21no—
765D172—21no—
766D172—42no—
767D172C2×#4112yes—
768C4×D43—21no—
769C4×D43—21no—
770C4×D43—41no—
771C4×D43—41no—
772C4×D43—42no—
773C4×D43—42no—
774C4×D43—42no—
775C4×D43—42no—
776C4×D43—42no—
777C4×D43—81no—
778C4×D43—81no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782Dic86—21no—
783Dic86—21no—
784Dic86—21no—
785Dic86—21no—
786Dic86—41no—
787Dic86—81no—
788C8×C43—21no—
789C8×C43—21no—
790C8×C43—21no—
791C8×C43—21no—
792C43⋊C8—21no—
793C43⋊C8—21no—
794C43⋊C8—21no—
795C43⋊C8C2×#4112yes—
796#61509—431nomaximal, Sylow
797C22×C43—21no—
798C22×C43—21no—
799C22×C43—21no—
800C22×C43—21no—
801C22×C43—22no—
802C22×C43—21no—
803C22×C43—21no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—162no—
810C22×C43C23×D411yescharacteristic
811C2×D43—21no—
812C2×D43—21no—
813C2×D43—22no—
814C2×D43—21no—
815C2×D43—41no—
816C2×D43—41no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—41no—
820C2×D43—84no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—21no—
825C4×C43—41no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43—41no—
830C4×C43—41no—
831C4×C43C22×#4111yescharacteristic
832C4×C43#58511yescharacteristic
833Dic43—21no—
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—21no—
838Dic43—21no—
839Dic43—21no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845Dic43—41no—
846#3515—431no—
847#3513—431no—
848#3400—431no—
849#3389—431no—
850#3372—431no—
851#3370—431no—
852#3352—431no—
853#3346—431no—
854#3343—431no—
855#3330—431no—
856#3323—431no—
857#3315—431no—
858#3314D4311yescharacteristic, complemented
859#3310—431no—
860#3307—431no—
861#3272—431no—
862#3267—431no—
863#3267—431no—
864#3178—431no—
865#3174—431no—
866#3172—431no—
867#3124—431no—
868#3123—431no—
869#3120—431no—
870#3119—431no—
871#3111—431no—
872#3110—431no—
873#2967—431no—
874#2951—431no—
875#2946—431no—
876C4×AGL(1,ℤ/8)—431no—
877C2×C43—42no—
878C2×C43—41no—
879C2×C43—41no—
880C2×C43—81no—
881C2×C43D4×#4111yescharacteristic
882C2×C43#358511yescharacteristic
883C2×C43#358611yescharacteristic
884D43—41no—
885D43—42no—
886D43—81no—
887C2×AGL(1,ℤ/8)—431no—
888C2×AGL(1,ℤ/8)—431no—
889C2×#135—431no—
890#559—431no—
891#557—431no—
892#554—431no—
893#554—431no—
894#554C2×D4311yescharacteristic, complemented
895#553—431no—
896#553—861no—
897#553—861no—
898#552—431no—
899#552—431no—
900#552—431no—
901#552—861no—
902#552—861no—
903#552—861no—
904#551—861no—
905#551—861no—
906#547—431no—
907#547—431no—
908#547—431no—
909#547—431no—
910#546—431no—
911#546—861no—
912#546C2×D4311yescharacteristic
913D42—431no—
914#542—431no—
915#541—431no—
916#541—431no—
917#540—431no—
918#539—861no—
919#539—861no—
920#539—861no—
921#538—861no—
922#533—431no—
923#529—431no—
924#529—431no—
925#529—861no—
926C2×#125—861no—
927#525—861no—
928C2×#123—861no—
929#520—431no—
930#520—431no—
931#520—431no—
932#518—431no—
933C4×#41—431no—
934C2×C4×D4—431no—
935#501—431no—
936#501—431no—
937#499—431no—
938#497—431no—
939#497—431no—
940#492—431no—
941#491—431no—
942#491—431no—
943#490—431no—
944#489C2×D4311yescharacteristic, complemented
945#488—431no—
946#487—431no—
947#485—431no—
948#485—431no—
949#485—431no—
950#484—431no—
951#484—431no—
952#484—431no—
953#484C2×D4311yescharacteristic, complemented
954#483—431no—
955#482—431no—
956#481—431no—
957#480—431no—
958#480C2×D4311yescharacteristic, complemented
959#479—431no—
960#479—431no—
961#479—431no—
962#478—431no—
963#478—431no—
964#478—431no—
965#478—431no—
966#478—431no—
967#477—431no—
968#474—431no—
969#474—431no—
970#474C2×D4311yescharacteristic
971#470—431no—
972#470—431no—
973#470—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468—431no—
978#468C2×D4311yescharacteristic, complemented
979#467C2×D4311yescharacteristic, complemented
980#465—431no—
981#465—431no—
982#465—431no—
983#464—431no—
984#464C2×D4311yescharacteristic, complemented
985#463—431no—
986#463—431no—
987#462—431no—
988#461—431no—
989#461—431no—
990#461—431no—
991#461—431no—
992#461—431no—
993#460—431no—
994#459—431no—
995#452—431no—
996#452—431no—
997#452—431no—
998#452C2×D4311yescharacteristic
999#450—431no—
1000#450—431no—
1001#450—431no—
1002#450C2×D4311yescharacteristic
1003#449—431no—
1004#449—431no—
1005#449—431no—
1006#449—431no—
1007#446—431no—
1008#446—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442—431no—
1013#441—431no—
1014#440—431no—
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440C2×D4311yescharacteristic
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×Q16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×D8—431no—
1034C4×D8—431no—
1035C4×D8—431no—
1036C4×D8—431no—
1037#436—431no—
1038#436—431no—
1039#435—431no—
1040#435—431no—
1041#435—431no—
1042#435C2×D4311yescharacteristic, complemented
1043#433—431no—
1044#433—431no—
1045#432—431no—
1046#428—431no—
1047#428—431no—
1048C2×#107—431no—
1049#418—431no—
1050#417—431no—
1051#417—431no—
1052#417C2×D4311yescharacteristic
1053#416—431no—
1054C2×#102C2×D4311yescharacteristic
1055#405—431no—
1056#405—431no—
1057C4×M16—431no—
1058C43#6150911yescharacteristic, complemented, Sylow
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—431no—
1062C2×#41—861no—
1063C2×#41C22×D4311yescharacteristic
1064C22×D4—431no—
1065C22×D4—861no—
1066C22×D4C22×D4311yescharacteristic
1067C23×C4—861no—
1068AGL(1,ℤ/8)—864no—
1069AGL(1,ℤ/8)—864no—
1070#135—864no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×Q16C22×D4311yescharacteristic
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16C22×D4311yescharacteristic
1083C2×SD16C22×D4311yescharacteristic
1084C2×D8—431no—
1085C2×D8—431no—
1086C2×D8—431no—
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16—431no—
1090C2×M16C22×D4311yescharacteristic
1091C22×C8—431no—
1092C22×C8C22×D4311yescharacteristic
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—431no—
1097C4⋊Q8C22×D4311yescharacteristic
1098#127—431no—
1099#126—431no—
1100#126—431no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#126—861no—
1109#126—861no—
1110#126—861no—
1111#125—21no—
1112#125—431no—
1113#125—431no—
1114#125—431no—
1115#125—431no—
1116#125—431no—
1117#125—861no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125—861no—
1124#125—861no—
1125#125—861no—
1126#125—861no—
1127#125—861no—
1128#124—431no—
1129#124—431no—
1130#124—861no—
1131#124—861no—
1132#124C22×D4311yescharacteristic
1133#123—21no—
1134#123—431no—
1135#123—431no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151#123—861no—
1152#123—861no—
1153#123—861no—
1154#123—861no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—431no—
1158C22⋊Q8—431no—
1159C22⋊Q8—431no—
1160C22⋊Q8—431no—
1161C22⋊Q8—431no—
1162C22⋊Q8—431no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8—861no—
1169C22⋊Q8—861no—
1170C22⋊Q8—861no—
1171C22⋊Q8—861no—
1172C22⋊Q8C22×D4311yescharacteristic
1173C22⋊Q8C22×D4311yescharacteristic
1174C22⋊Q8C22×D4311yescharacteristic
1175#121—21no—
1176#121—431no—
1177#121—431no—
1178#121—431no—
1179#121—431no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121—861no—
1188#121C22×D4311yescharacteristic
1189#120—21no—
1190#120—861no—
1191#120—861no—
1192#120—861no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—431no—
1201C4×Q8—861no—
1202C4×Q8—861no—
1203C4×Q8C22×D4311yescharacteristic
1204C4×D4—21no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4—861no—
1232C4×D4—861no—
1233C4×D4C22×D4311yescharacteristic
1234C4×D4C22×D4311yescharacteristic
1235#117—431no—
1236#117—431no—
1237#117—431no—
1238#117—431no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248C2×C4⋊C4—431no—
1249C2×C4⋊C4—431no—
1250C2×C4⋊C4—861no—
1251C2×C4⋊C4—861no—
1252C2×C4⋊C4—861no—
1253C2×C4⋊C4—861no—
1254C2×C4⋊C4—861no—
1255C2×C4⋊C4—861no—
1256C2×C4⋊C4—861no—
1257C2×C4⋊C4—861no—
1258C2×C4⋊C4C22×D4311yescharacteristic
1259C2×C4⋊C4C22×D4311yescharacteristic
1260C2×C22⋊C4—21no—
1261C2×C22⋊C4—861no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C22⋊C4—861no—
1265C2×C42—431no—
1266C2×C42—861no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107—431no—
1273#107—431no—
1274#107C22×D4311yescharacteristic
1275#107C22×D4311yescharacteristic
1276#107C22×D4311yescharacteristic
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106—431no—
1282#106—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8—431no—
1288C4⋊C8C22×D4311yescharacteristic
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103—431no—
1295#103—431no—
1296#103—431no—
1297#103—431no—
1298#103—431no—
1299#103—431no—
1300#103—431no—
1301#103C22×D4311yescharacteristic
1302#103C22×D4311yescharacteristic
1303#103C22×D4311yescharacteristic
1304#103C22×D4311yescharacteristic
1305#102—431no—
1306#102—431no—
1307#102—431no—
1308#102—431no—
1309#102—431no—
1310#102—431no—
1311#102—431no—
1312#102—431no—
1313#102—431no—
1314#102—431no—
1315#102C22×D4311yescharacteristic
1316#102C22×D4311yescharacteristic
1317#102C22×D4311yescharacteristic
1318#102C22×D4311yescharacteristic
1319#102C22×D4311yescharacteristic
1320#102C22×D4311yescharacteristic
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8—431no—
1325C22⋊C8C22×D4311yescharacteristic
1326C22⋊C8C22×D4311yescharacteristic
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97—431no—
1332#97C22×D4311yescharacteristic
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C4×C8—431no—
1337C24—21no—
1338C24—861no—
1339#41—22no—
1340#41—41no—
1341#41—862no—
1342#41—862no—
1343#41—862no—
1344#41—3442no—
1345#41—1721no—
1346#41—1721no—
1347#41—1721no—
1348C2×Q8—21no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—431no—
1352C2×Q8—861no—
1353C2×Q8C23×D4311yescharacteristic
1354C2×Q8C23×D4311yescharacteristic
1355C2×D4—22no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—41no—
1360C2×D4—431no—
1361C2×D4—431no—
1362C2×D4—431no—
1363C2×D4—431no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—861no—
1368C2×D4—862no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—3442no—
1375C2×D4—1721no—
1376C2×D4D4×D4311yescharacteristic
1377C2×D4C23×D4311yescharacteristic
1378C2×D4C23×D4311yescharacteristic
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—431no—
1384C22×C4—431no—
1385C22×C4—431no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4—861no—
1392C22×C4—861no—
1393C22×C4—861no—
1394C22×C4—861no—
1395C22×C4—861no—
1396C22×C4—861no—
1397C22×C4—861no—
1398C22×C4—861no—
1399C22×C4—861no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—3442no—
1403C22×C4C23×D4311yescharacteristic
1404C22×C4C23×D4311yescharacteristic
1405Q16—41no—
1406Q16—862no—
1407Q16—1721no—
1408SD16—22no—
1409SD16—41no—
1410SD16—862no—
1411SD16—862no—
1412SD16—862no—
1413SD16—862no—
1414SD16—862no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—434no—
1419D8—862no—
1420D8—862no—
1421M16—41no—
1422M16—862no—
1423M16—862no—
1424M16—1721no—
1425C2×C8—41no—
1426C2×C8—431no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—431no—
1430C2×C8—862no—
1431C2×C8C23×D4311yescharacteristic
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
1444C4⋊C4—431no—
1445C4⋊C4—431no—
1446C4⋊C4—431no—
1447C4⋊C4—431no—
1448C4⋊C4—431no—
1449C4⋊C4—431no—
1450C4⋊C4—431no—
1451C4⋊C4—431no—
1452C4⋊C4—431no—
1453C4⋊C4—431no—
1454C4⋊C4—431no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4—861no—
1482C4⋊C4—861no—
1483C4⋊C4—861no—
1484C4⋊C4D4×D4311yescharacteristic
1485C4⋊C4C23×D4311yescharacteristic
1486C4⋊C4C23×D4311yescharacteristic
1487C4⋊C4C23×D4311yescharacteristic
1488C4⋊C4C23×D4311yescharacteristic
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—431no—
1502C22⋊C4—431no—
1503C22⋊C4—431no—
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—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—861no—
1527C22⋊C4D4×D4311yescharacteristic
1528C22⋊C4D4×D4311yescharacteristic
1529C42—21no—
1530C42—431no—
1531C42—431no—
1532C42—431no—
1533C42—431no—
1534C42—431no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42—861no—
1544C42C23×D4311yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—42no—
1548C23—81no—
1549C23—81no—
1550C23—431no—
1551C23—861no—
1552C23—861no—
1553C23—3441no—
1554C23—1722no—
1555C23—1722no—
1556C23C2×D4×D4311yescharacteristic
1557C23C2×D4×D4311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—81no—
1563Q8—861no—
1564Q8—861no—
1565Q8—861no—
1566Q8—861no—
1567Q8—3441no—
1568Q8—1721no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—41no—
1573D4—42no—
1574D4—42no—
1575D4—81no—
1576D4—432no—
1577D4—861no—
1578D4—861no—
1579D4—861no—
1580D4—3441no—
1581D4—3441no—
1582D4—3441no—
1583D4—3441no—
1584D4—1722no—
1585D4—1721no—
1586D4—1721no—
1587D4—1722no—
1588D4—1722no—
1589D4—1722no—
1590D4—1722no—
1591D4#41×D4312yes—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—42no—
1603C2×C4—81no—
1604C2×C4—81no—
1605C2×C4—81no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—431no—
1610C2×C4—431no—
1611C2×C4—431no—
1612C2×C4—431no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—861no—
1621C2×C4—3441no—
1622C2×C4—3441no—
1623C2×C4—3441no—
1624C2×C4—3441no—
1625C2×C4—3441no—
1626C2×C4—3441no—
1627C2×C4—3441no—
1628C2×C4—3441no—
1629C2×C4—3441no—
1630C2×C4—3441no—
1631C2×C4—3441no—
1632C2×C4—1721no—
1633C2×C4—1721no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4—1722no—
1638C2×C4—1722no—
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C2×D4×D4311yescharacteristic
1643C2×C4C24×D4311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—432no—
1649C8—861no—
1650C8—861no—
1651C8—861no—
1652C22—21no—
1653C22—21no—
1654C22—22no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—162no—
1665C22—861no—
1666C22—862no—
1667C22—861no—
1668C22—861no—
1669C22—3444no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22—1721no—
1674C22—1721no—
1675C22C22×D4×D4311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—861no—
1687C4—861no—
1688C4—861no—
1689C4—861no—
1690C4—861no—
1691C4—861no—
1692C4—861no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4—1721no—
1698C4—1721no—
1699C4C2×#41×D4311yescharacteristic
1700C4#1458373411yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—42no—
1704C2—81no—
1705C2—3441no—
1706C2—1721no—
1707C2—1722no—
1708C2#1914807911yescharacteristic
1709C2#1914937011yescharacteristic
1710C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3314C2
socleC22×C43C23×D4
hypercenter#3314D43
hypocenterC43#61509
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. #19148576C2semidirect
2. #19148524C2semidirect
3. #19147651C2semidirect
4. #19147548C2semidirect
5. #19147377C2semidirect
6. #19147347C2semidirect
7. #19147170C2semidirect
8. #19147074C2semidirect
9. #19147039C2semidirect
10. #19146895C2semidirect
11. #19146812C2semidirect
12. #19146697C2semidirect
13. #19146612C2semidirect
14. #19146573C2semidirect
15. #19146193C2semidirect
16. #19146124C2semidirect
17. #19146116C2semidirect
18. #19145266C2semidirect
19. #19145218C2semidirect
20. #19145204C2semidirect
21. #19144860C2semidirect
22. #19144841C2semidirect
23. #19144802C2semidirect
24. #19144797C2semidirect
25. #19144703C2semidirect
26. #19144696C2semidirect
27. #19143577C2semidirect
28. #19143466C2semidirect
29. #19143421C2semidirect
30. #19143400C2semidirect
31. C43×#3314C2semidirect
36. #14583627C22semidirect
37. #14583610C22semidirect
44. #14583584C22semidirect
50. #14583554C22semidirect
52. #14583551C22semidirect
58. #14583509C22semidirect
59. #14583509C22semidirect
65. #14583454C22semidirect
73. #14583380C22semidirect
74. #14583380C22semidirect
76. C4×#10621902C22semidirect
78. #14583307C22semidirect
79. #14583305C22semidirect
80. #14583300C22semidirect
81. #14583294C22semidirect
82. #14583292C22semidirect
84. #14583268C22semidirect
85. #14583266C22semidirect
87. #14583255C22semidirect
88. #14583248C22semidirect
89. #14583241C22semidirect
90. #14583239C22semidirect
91. #14583237C22semidirect
92. #14583236C22semidirect
93. #14583236C22semidirect
94. #14583232C22semidirect
95. #14583230C22semidirect
97. #14583217C22semidirect
99. #14583206C22semidirect
100. #14583205C22semidirect
101. #14583204C22semidirect
102. #14583202C22semidirect
104. #14583201C22semidirect
105. #14583200C22semidirect
107. #14583193C22semidirect
108. #14583178C22semidirect
109. #14583176C22semidirect
110. #14583156C22semidirect
111. #14583156C22semidirect
112. #14583155C22semidirect
114. #14583145C22semidirect
117. #14583130C22semidirect
119. #14583126C22semidirect
120. #14583124C22semidirect
121. #14583117C22semidirect
122. #14583111C22semidirect
123. #14583107C22semidirect
124. #14583105C22semidirect
128. #14583102C22semidirect
132. #14583060C22semidirect
133. #14583059C22semidirect
138. #14583046C22semidirect
140. #14583042C22semidirect
141. #14583028C22semidirect
142. #14583027C22semidirect
143. #14583012C22semidirect
146. #14583008C22semidirect
147. #14583006C22semidirect
148. #14583002C22semidirect
149. #14583002C22semidirect
150. #14583000C22semidirect
151. #14582998C22semidirect
152. #14582998C22semidirect
153. #14582997C22semidirect
157. #14582996C22semidirect
158. #14582991C22semidirect
159. #14582991C22semidirect
160. #14582991C22semidirect
162. #14582990C22semidirect
163. #14582990C22semidirect
165. #14582984C22semidirect
166. #14582981C22semidirect
169. #14582979C22semidirect
170. #14582975C22semidirect
172. #14582971C22semidirect
174. #14582967C22semidirect
175. #14582957C22semidirect
176. #14582957C22semidirect
177. #14582955C22semidirect
178. #14582940C22semidirect
179. #14582939C22semidirect
180. C2×#13063258C22semidirect
182. #14582901C22semidirect
183. #14582899C22semidirect
184. #14582896C22semidirect
185. #14582857C22semidirect
186. #14582854C22semidirect
187. #14582851C22semidirect
188. C43×#554C22semidirect
190. C43×#489C22semidirect
191. C43×#484C22semidirect
192. C43×#480C22semidirect
194. C43×#468C22semidirect
195. C43×#467C22semidirect
196. C43×#464C22semidirect
200. C43×#435C22semidirect
605. #10621882#41semidirect
858. #3314D43semidirect
894. #554C2×D43semidirect
944. #489C2×D43semidirect
953. #484C2×D43semidirect
958. #480C2×D43semidirect
978. #468C2×D43semidirect
979. #467C2×D43semidirect
984. #464C2×D43semidirect
1042. #435C2×D43semidirect
1058. C43#61509semidirect

Maximal subgroups

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

subgroupindex
#191485762
#191485242
#191476512
#191475482
#191473772
#191473472
#191471702
#191470742
#191470392
#191468952
#191468122
#191466972
#191466122
#191465732
#191461932
#191461242
#191461162
#191452662
#191452182
#191452042
#191448602
#191448412
#191448022
#191447972
#191447032
#191446962
#191435772
#191434662
#191434212
#191434002
C43×#33142
#6150943