Finite Group Databasebeta

← #25976961

Subgroups — #25976961

Order 11008.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148443C211yesmaximal, characteristic, complemented
2#19148415C211yesmaximal, characteristic, complemented
3#19147444C211yesmaximal, characteristic, complemented
4#19147443C211yesmaximal, characteristic, complemented
5#19147419C211yesmaximal, characteristic, complemented
6#19147418C211yesmaximal, characteristic, complemented
7#19147369C211yesmaximal, characteristic, complemented
8#19147357C211yesmaximal, characteristic, complemented
9#19147348C211yesmaximal, characteristic, complemented
10#19147344C211yesmaximal, characteristic, complemented
11#19147329C211yesmaximal, characteristic, complemented
12#19147327C211yesmaximal, characteristic, complemented
13#19147300C211yesmaximal, characteristic, complemented
14#19147297C211yesmaximal, characteristic, complemented
15#19147294C211yesmaximal, characteristic, complemented
16#19147293C211yesmaximal, characteristic, complemented
17#19147250C211yesmaximal, characteristic, complemented
18#19144992C211yesmaximal, characteristic, complemented
19#19144948C211yesmaximal, characteristic, complemented
20#19144944C211yesmaximal, characteristic, complemented
21#19144458C211yesmaximal, characteristic, complemented
22#19144443C211yesmaximal, characteristic, complemented
23#478×D43C211yesmaximal, characteristic, complemented
24#19144135C211yesmaximal, characteristic, complemented
25#19144129C211yesmaximal, characteristic, complemented
26#19144047C211yesmaximal, characteristic, complemented
27#19143537C211yesmaximal, characteristic, complemented
28#19143473C211yesmaximal, characteristic, complemented
29#19143465C211yesmaximal, characteristic, complemented
30C4×#13063349C211yesmaximal, characteristic, complemented
31C43×#3361C211yesmaximal, characteristic, complemented
32C2×#13063349C2211yescharacteristic
33C2×#13063346C2211yescharacteristic
34C2×#13063344C2211yescharacteristic
35#14583634C2211yescharacteristic
36#14583632C2211yescharacteristic
37#14583631C2211yescharacteristic
38#14583627C2211yescharacteristic, complemented
39#14583626C2211yescharacteristic, complemented
40#14583626C2211yescharacteristic, complemented
41#14583624C2211yescharacteristic, complemented
42#14583621C2211yescharacteristic
43#14583618C2211yescharacteristic
44#14583611—21no—
45#14583608C2211yescharacteristic, complemented
46#14583608C2211yescharacteristic, complemented
47#14583607—21no—
48#14583606C2211yescharacteristic, complemented
49#14583604—21no—
50#14583603—21no—
51#14583603—21no—
52#14583598—21no—
53#14583594—21no—
54#14583570C2211yescharacteristic
55#14583569C2211yescharacteristic
56#14583547—21no—
57#14583529C2211yescharacteristic
58#14583528—21no—
59#14583528—21no—
60#14583526C2211yescharacteristic
61#14583485—21no—
62#14583483—21no—
63#14583467C2211yescharacteristic
64#14583462C2211yescharacteristic
65#14583453C2211yescharacteristic
66#14583451—21no—
67#14583448C2211yescharacteristic
68C2×#13063315—21no—
69#125×D43C2211yescharacteristic
70#14583408—21no—
71#14583407—21no—
72#14583381C2211yescharacteristic
73#14583378C2211yescharacteristic
74#14583378C2211yescharacteristic
75#14583378C2211yescharacteristic
76C4×#10621900C2211yescharacteristic
77C4×D4×D43C2211yescharacteristic
78#14583266C2211yescharacteristic, complemented
79#14583266C2211yescharacteristic, complemented
80#14583265C2211yescharacteristic
81#14583263C2211yescharacteristic
82#14583262C2211yescharacteristic
83#14583262C2211yescharacteristic
84#14583262C2211yescharacteristic, complemented
85#14583262C2211yescharacteristic, complemented
86#14583261C2211yescharacteristic
87#14583260C2211yescharacteristic
88#14583258C2211yescharacteristic
89#14583257C2211yescharacteristic
90#14583256C2211yescharacteristic, complemented
91#14583255C2211yescharacteristic
92#14583254C2211yescharacteristic
93#14583254C2211yescharacteristic, complemented
94#14583253C2211yescharacteristic, complemented
95#14583252C2211yescharacteristic
96#14583246C2211yescharacteristic
97#14583244C2211yescharacteristic
98#14583244C2211yescharacteristic
99#14583206C2211yescharacteristic, complemented
100#14583205C2211yescharacteristic, complemented
101#14583204C2211yescharacteristic, complemented
102#14583203C2211yescharacteristic, complemented
103#14583202C2211yescharacteristic
104#14583202C2211yescharacteristic, complemented
105#14583201C2211yescharacteristic
106#14583201C2211yescharacteristic, complemented
107#14583200C2211yescharacteristic
108#14583200C2211yescharacteristic, complemented
109#14583199C2211yescharacteristic
110#14583198C2211yescharacteristic
111#14583197C2211yescharacteristic
112#14583196C2211yescharacteristic
113#14583192C2211yescharacteristic, complemented
114#14583189C2211yescharacteristic, complemented
115#14583187C2211yescharacteristic, complemented
116#14583185C2211yescharacteristic, complemented
117#14583183C2211yescharacteristic, complemented
118#14583178C2211yescharacteristic, complemented
119#14583176C2211yescharacteristic, complemented
120#14583124C2211yescharacteristic
121#14583122C2211yescharacteristic
122#14583122C2211yescharacteristic, complemented
123#14583120C2211yescharacteristic
124#14583118C2211yescharacteristic
125#14583118C2211yescharacteristic, complemented
126#14583116C2211yescharacteristic
127#14583114C2211yescharacteristic
128#14583114C2211yescharacteristic, complemented
129#14583112C2211yescharacteristic
130#14583108C2211yescharacteristic, complemented
131#14583102C2211yescharacteristic, complemented
132#14583100C2211yescharacteristic
133#14583098C2211yescharacteristic
134#14583098C2211yescharacteristic
135#14583098C2211yescharacteristic, complemented
136#14583096C2211yescharacteristic
137#14583094C2211yescharacteristic
138#14583092C2211yescharacteristic
139#14583092C2211yescharacteristic
140#14583092C2211yescharacteristic, complemented
141#14583030C2211yescharacteristic, complemented
142#14583029C2211yescharacteristic, complemented
143#14583029C2211yescharacteristic, complemented
144#14583029C2211yescharacteristic, complemented
145#14583028C2211yescharacteristic, complemented
146#14583028C2211yescharacteristic, complemented
147#14583023C2211yescharacteristic, complemented
148#14583011C2211yescharacteristic
149#14583009C2211yescharacteristic, complemented
150#14583008C2211yescharacteristic
151#14583008C2211yescharacteristic, complemented
152#14583004C2211yescharacteristic, complemented
153#14583003C2211yescharacteristic, complemented
154#14582999C2211yescharacteristic, complemented
155#14582999C2211yescharacteristic, complemented
156#14582998C2211yescharacteristic
157#14582996C2211yescharacteristic
158#14582996C2211yescharacteristic, complemented
159#14582996C2211yescharacteristic, complemented
160C4×Dic172C2211yescharacteristic, complemented
161#14582993C2211yescharacteristic, complemented
162C4×#10621873C2211yescharacteristic
163C4×#10621873C2211yescharacteristic, complemented
164SD16×Dic43C2211yescharacteristic, complemented
165#14582986C2211yescharacteristic, complemented
166C4×#10621883C2211yescharacteristic
167D8×Dic43C2211yescharacteristic, complemented
168C4×#10621882C2211yescharacteristic
169#14582940C2211yescharacteristic
170#107×D43C2211yescharacteristic
171#106×D43C2211yescharacteristic
172#14582924C2211yescharacteristic
173#14582924C2211yescharacteristic
174C4⋊C8×D43C2211yescharacteristic
175#14582902C2211yescharacteristic
176#14582899C2211yescharacteristic
177#14582899C2211yescharacteristic
178#14582897C2211yescharacteristic
179#14582897C2211yescharacteristic
180#14582897C2211yescharacteristic
181#14582894C2211yescharacteristic
182#14582892C2211yescharacteristic
183#102×D43C2211yescharacteristic
184#102×D43C2211yescharacteristic
185#14582853C2211yescharacteristic
186#14582853C2211yescharacteristic
187C4×#10621872C2211yescharacteristic
188C43×#559C2211yescharacteristic
189C43×#554C2211yescharacteristic, complemented
190C43×#488C2211yescharacteristic
191C43×#488C2211yescharacteristic, complemented
192C43×#486C2211yescharacteristic
193C43×#478C2211yescharacteristic
194C43×#478C2211yescharacteristic, complemented
195C43×#477C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic
197C43×#463C2211yescharacteristic, complemented
198C43×#459C2211yescharacteristic
199C8×Q8×C43C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic
202C4×D8×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621900—21no—
206C2×#10621900C2311yescharacteristic
207C2×#10621900C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209C22×C4×D43—21no—
210#13063349—24no—
211#13063346—24no—
212#13063344—24no—
213C2×Dic172C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621882C2311yescharacteristic
221C2×#10621882C2311yescharacteristic
222C2×#10621872C2311yescharacteristic
223C2×#10621872C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226#13063325C2311yescharacteristic
227#13063324—21no—
228#13063324—21no—
229#13063324—21no—
230#13063324D411yescharacteristic
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063323—21no—
234#13063323—21no—
235#13063323—21no—
236#13063323D411yescharacteristic
237#13063323C2311yescharacteristic
238#13063322C2311yescharacteristic
239#13063321C2311yescharacteristic
240#13063321C2311yescharacteristic
241#13063321C2311yescharacteristic
242#13063320—21no—
243#13063319—21no—
244#13063318—21no—
245#13063318—21no—
246#13063317C2311yescharacteristic
247#13063317C2311yescharacteristic
248#13063316C2311yescharacteristic
249#13063316C2311yescharacteristic
250#13063316C2311yescharacteristic
251#13063316C2311yescharacteristic
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315—21no—
261#13063315—21no—
262#13063315—21no—
263#13063315—21no—
264#13063315D411yescharacteristic
265#13063315D411yescharacteristic
266#13063314—21no—
267#13063314C2311yescharacteristic
268#13063313C2311yescharacteristic
269#13063313C2311yescharacteristic
270#13063312C2311yescharacteristic
271#13063311—21no—
272#13063311—21no—
273#13063310—21no—
274#13063310—21no—
275#13063309—21no—
276#13063308—21no—
277#13063307—21no—
278#13063307—21no—
279#13063305—21no—
280#13063305D411yescharacteristic
281#13063304—21no—
282#13063304—21no—
283#13063304—21no—
284#13063303—21no—
285#13063303—21no—
286#13063303—21no—
287#13063303D411yescharacteristic
288#13063303D411yescharacteristic
289#13063302—21no—
290#13063302—21no—
291#13063302—21no—
292#13063302—21no—
293#13063302—21no—
294#13063302—21no—
295#13063302—21no—
296#13063301—21no—
297#13063301D411yescharacteristic
298#13063299—21no—
299#13063298—21no—
300#13063298—21no—
301#13063298—21no—
302#13063298—21no—
303#13063298—21no—
304#13063298—21no—
305#13063297—21no—
306#13063297—21no—
307#13063297—21no—
308#13063297—21no—
309#13063296—21no—
310#13063295—21no—
311#13063295—21no—
312#13063293—21no—
313#13063293—21no—
314Q8×Dic43—21no—
315Q8×Dic43C2311yescharacteristic
316C4×Dic86C2311yescharacteristic
317C4×Dic86C2311yescharacteristic
318C4×Dic86C2311yescharacteristic
319C4×Dic86C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323#13063290—21no—
324#13063290—21no—
325#13063290—21no—
326#13063290C2311yescharacteristic
327#13063290C2311yescharacteristic
328#13063290C2311yescharacteristic
329#13063290C2311yescharacteristic
330C4×D172—21no—
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333D4×Dic43C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338#13063287—21no—
339#13063287—21no—
340#13063287C2311yescharacteristic
341#13063287C2311yescharacteristic
342C4×C22⋊D43—21no—
343C4×C22⋊D43—21no—
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353(C22⋊D43)⋊C4—21no—
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356#13063283C2311yescharacteristic
357#13063282—21no—
358#13063282—21no—
359#13063282C2311yescharacteristic
360#13063282C2311yescharacteristic
361#13063281—21no—
362#13063281—21no—
363#13063281—21no—
364#13063281—21no—
365#13063281—21no—
366C2×C4⋊Dic43—21no—
367C2×Dic43⋊C4—21no—
368C2×Dic43⋊C4—21no—
369C2×Dic43⋊C4—21no—
370C2×Dic43⋊C4—21no—
371C2×Dic43⋊C4—21no—
372C4⋊C4×D43—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C22⋊C4×D43—21no—
379C2×C4×Dic43—21no—
380C42×D43C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390C4⋊(C43⋊C8)C2311yescharacteristic
391C4⋊(C43⋊C8)C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063248C2311yescharacteristic
407#13063248C2311yescharacteristic
408#13063248C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063247C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×D8×C43C2311yescharacteristic
440C2×D8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#127×C43C2311yescharacteristic
443#125×C43C2311yescharacteristic
444#125×C43C2311yescharacteristic
445#124×C43—21no—
446#124×C43C2311yescharacteristic
447#124×C43C2311yescharacteristic
448#123×C43—21no—
449#123×C43—21no—
450C22⋊Q8×C43—21no—
451C22⋊Q8×C43—21no—
452C22⋊Q8×C43—21no—
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43—21no—
456C4×D4×C43C2311yescharacteristic
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459C4×D4×C43C2311yescharacteristic
460C4×D4×C43C2311yescharacteristic
461C2×C4⋊C4×C43—21no—
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466C4⋊C8×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C4×C8×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C2×Q8×C43—21no—
483C2×Q8×C43C2×D411yescharacteristic
484C2×Q8×C43C2411yescharacteristic
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43C2411yescharacteristic
488C2×D4×C43C2411yescharacteristic
489C2×D4×C43C2411yescharacteristic
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43—21no—
493C22×C4×C43—21no—
494C22×C4×C43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43—21no—
498C2×C22⋊D43—21no—
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43—21no—
510C22×Dic43—21no—
511#10621902—22no—
512#10621902—22no—
513#10621900—22no—
514#10621900—22no—
515#10621900—22no—
516#10621900—82no—
517#10621900#4114yescomplemented
518D4×D43—22no—
519D4×D43—22no—
520#10621898—82no—
521C2×D172—21no—
522C2×D172—21no—
523C2×D172—21no—
524C2×D172C2411yescharacteristic
525C2×D172C2411yescharacteristic
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—82no—
535C2×C4×D43C2×D411yescharacteristic
536C2×C4×D43C2×D411yescharacteristic
537C2×C4×D43C2411yescharacteristic
538C2×Dic86—21no—
539C2×Dic86—21no—
540C2×Dic86—21no—
541C2×Dic86C2×D411yescharacteristic
542C2×Dic86C2×D411yescharacteristic
543C2×Dic86C2×D411yescharacteristic
544C2×Dic86C2411yescharacteristic
545C2×Dic86C2411yescharacteristic
546SD16×C43—22no—
547D8×C43—22no—
548D8×C43—22no—
549C2×C8×C43C2411yescharacteristic
550C2×C8×C43C2411yescharacteristic
551C2×C8×C43C2411yescharacteristic
552C2×C8×C43C2411yescharacteristic
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43C2×D411yescharacteristic
560C4⋊C4×C43C2×D411yescharacteristic
561C4⋊C4×C43C2×D411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C42×C43—21no—
576C42×C43C2411yescharacteristic
577C42×C43C2411yescharacteristic
578C42×C43C2411yescharacteristic
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586#10621885—22no—
587#10621883—22no—
588#10621883—22no—
589#10621883—22no—
590#10621882—22no—
591#10621882—22no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4C2×D411yescharacteristic
604(C2×D43)⋊C4C2×D411yescharacteristic
605(C2×D43)⋊C4C2×D411yescharacteristic
606(C2×D43)⋊C4C2×D411yescharacteristic
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43C2×D411yescharacteristic
614C4⋊Dic43C2×D411yescharacteristic
615C4⋊Dic43C2×D411yescharacteristic
616C4⋊Dic43C2411yescharacteristic
617C4⋊Dic43C2411yescharacteristic
618C4⋊Dic43C2411yescharacteristic
619C4⋊Dic43C2411yescharacteristic
620Dic43⋊C4—21no—
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4C2×D411yescharacteristic
644Dic43⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
647Dic43⋊C4C2×D411yescharacteristic
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43C2×D411yescharacteristic
664C4×Dic43C2×D411yescharacteristic
665C4×Dic43C2411yescharacteristic
666C4×Dic43C2411yescharacteristic
667C4×Dic43C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669C2×C43⋊C8C2411yescharacteristic
670C2×C43⋊C8C2411yescharacteristic
671C2×C43⋊C8C2411yescharacteristic
672Dic172—22no—
673#10621873—22no—
674#10621873—22no—
675#10621872—22no—
676#10621872—22no—
677C8×D43—22no—
678C8×D43—22no—
679C23×C43—21no—
680C23×C43—21no—
681C23×C43—21no—
682C22×D43—21no—
683C22×D43—21no—
684C22×D43—42no—
685C22×D43—81no—
686C22×D43—81no—
687C22×D43C22×D411yescharacteristic
688Q8×C43—21no—
689Q8×C43—21no—
690Q8×C43—41no—
691Q8×C43—81no—
692D4×C43—21no—
693D4×C43—21no—
694D4×C43—21no—
695D4×C43—21no—
696D4×C43—21no—
697D4×C43—81no—
698D4×C43—81no—
699D4×C43C2×#4112yes—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—81no—
706C2×C4×C43—81no—
707C2×C4×C43—81no—
708C2×C4×C43—81no—
709C2×C4×C43—81no—
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C22×D411yescharacteristic
713C2×C4×C43C22×D411yescharacteristic
714C2×C4×C43C22×D411yescharacteristic
715C2×C4×C43C22×D411yescharacteristic
716C2×C4×C43C2511yescharacteristic
717C22⋊D43—24no—
718C22⋊D43—42no—
719C22⋊D43—42no—
720C22⋊D43—42no—
721C22⋊D43—81no—
722C22⋊D43—81no—
723C22⋊D43—81no—
724C22⋊D43—81no—
725C22⋊D43—81no—
726C2×Dic43—21no—
727C2×Dic43—24no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—21no—
731C2×Dic43—21no—
732C2×Dic43—21no—
733C2×Dic43—42no—
734C2×Dic43—42no—
735C2×Dic43—81no—
736C2×Dic43—81no—
737C2×Dic43—81no—
738C2×Dic43—81no—
739C2×Dic43C22×D411yescharacteristic
740C2×Dic43C22×D411yescharacteristic
741C2×Dic43C22×D411yescharacteristic
742C2×Dic43C22×D411yescharacteristic
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746D172—21no—
747D172—21no—
748D172—21no—
749D172—21no—
750D172—42no—
751D172—81no—
752D172—81no—
753C4×D43—41no—
754C4×D43—41no—
755C4×D43—42no—
756C4×D43—42no—
757C4×D43—81no—
758C4×D43—81no—
759C4×D43—81no—
760C4×D43—81no—
761C4×D43—81no—
762C4×D43—81no—
763C4×D43C2×#4112yes—
764C4×D432−1+412yes—
765Dic86—21no—
766Dic86—21no—
767Dic86—21no—
768Dic86—41no—
769Dic86—41no—
770Dic86—41no—
771Dic86—81no—
772Dic86—81no—
773Dic86—81no—
774Dic86C2×#4112yes—
775C8×C43—21no—
776C8×C43—21no—
777C8×C43—21no—
778C8×C43—21no—
779C43⋊C8—21no—
780C43⋊C8—21no—
781C43⋊C8—21no—
782C43⋊C8—21no—
783#61349—431nomaximal, Sylow
784C22×C43—22no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43—41no—
788C22×C43—41no—
789C22×C43—41no—
790C22×C43—41no—
791C22×C43—41no—
792C22×C43—41no—
793C22×C43C23×D411yescharacteristic
794C2×D43—21no—
795C2×D43—21no—
796C2×D43—41no—
797C2×D43—41no—
798C2×D43—41no—
799C2×D43—41no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43—84no—
803C2×D43#54812yes—
804C4×C43—21no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—21no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43—41no—
815C4×C43C22×#4111yescharacteristic
816C4×C43C2×2−1+411yescharacteristic
817Dic43—21no—
818Dic43—21no—
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—22no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43#54812yes—
830#3506—431no—
831#3504—431no—
832#3377—431no—
833#3377—431no—
834#3376—431no—
835#3376—431no—
836#3371—431no—
837#3371—431no—
838#3370—431no—
839#3370—431no—
840#3368—431no—
841#3368—431no—
842#3366—431no—
843#3366—431no—
844#3365—431no—
845#3365—431no—
846#3361—431no—
847#3361D4311yescharacteristic, complemented
848#3142—431no—
849#3136—431no—
850#3136—431no—
851#3084—431no—
852#3083—431no—
853C2×#478—431no—
854#3045—431no—
855#3045—431no—
856#3035—431no—
857#2962—431no—
858#2952—431no—
859#2951—431no—
860C4×AGL(1,ℤ/8)—431no—
861C2×C43—42no—
862C2×C43—81no—
863C2×C43—81no—
864C2×C43C2×#54811yescharacteristic
865C2×C43#358411yescharacteristic
866C2×C43#358511yescharacteristic
867D43—22no—
868D43—81no—
869D43—81no—
870C2×AGL(1,ℤ/8)—431no—
871C2×#135—431no—
872C2×#135—431no—
873#559—431no—
874#559—431no—
875#559—431no—
876#559C2×D4311yescharacteristic
877#557—431no—
878#557—431no—
879#557—431no—
880#557—431no—
881#556—431no—
882#556—431no—
883#555—861no—
884#554—431no—
885#554—431no—
886#554—431no—
887#554—861no—
888#554—861no—
889#554—861no—
890#554—861no—
891#554C2×D4311yescharacteristic, complemented
892#553—861no—
893#553—861no—
894#550—431no—
895#550—431no—
896#547—861no—
897#544—431no—
898#544—431no—
899#544—861no—
900#544—861no—
901#538—861no—
902#538—861no—
903#535—431no—
904#535—431no—
905#533—431no—
906#533—861no—
907#532—431no—
908C2×#125—431no—
909C2×#125—861no—
910#525—861no—
911#525—861no—
912#520—431no—
913#520—431no—
914#520—431no—
915#520—431no—
916C4×#41—431no—
917C2×C4×D4—431no—
918#491—431no—
919#491—431no—
920#490—431no—
921#490—431no—
922#490—431no—
923#490—431no—
924#490—431no—
925#490—431no—
926#489—431no—
927#489—431no—
928#489—431no—
929#489—431no—
930#488—431no—
931#488—431no—
932#488—431no—
933#488—431no—
934#488—431no—
935#488—431no—
936#488C2×D4311yescharacteristic
937#488C2×D4311yescharacteristic, complemented
938#486—431no—
939#486—431no—
940#486—431no—
941#486C2×D4311yescharacteristic
942#479—431no—
943#479—431no—
944#479—431no—
945#479—431no—
946#478—431no—
947#478—431no—
948#478—431no—
949#478—431no—
950#478—431no—
951#478—431no—
952#478—431no—
953#478—431no—
954#478—431no—
955#478—431no—
956#478C2×D4311yescharacteristic
957#478C2×D4311yescharacteristic, complemented
958#477—431no—
959#477C2×D4311yescharacteristic, complemented
960#476—431no—
961#476—431no—
962#475—431no—
963#475—431no—
964#474—431no—
965#474—431no—
966#464—431no—
967#464—431no—
968#464—431no—
969#464—431no—
970#464—431no—
971#464—431no—
972#463—431no—
973#463—431no—
974#463—431no—
975#463—431no—
976#463C2×D4311yescharacteristic
977#463C2×D4311yescharacteristic, complemented
978#462—431no—
979#461—431no—
980#460—431no—
981#460—431no—
982#460—431no—
983#460—431no—
984#460—431no—
985#459—431no—
986#459—431no—
987#459—431no—
988#459—431no—
989#459C2×D4311yescharacteristic
990#446—431no—
991#446—431no—
992#446—431no—
993#446—431no—
994#446—431no—
995#446—431no—
996C8×Q8—431no—
997C8×Q8C2×D4311yescharacteristic, complemented
998#442—431no—
999#442—431no—
1000#442—431no—
1001#442—431no—
1002#441—431no—
1003#441—431no—
1004#440—431no—
1005#440—431no—
1006#440—431no—
1007#440—431no—
1008#440—431no—
1009#440—431no—
1010C4×Q16—431no—
1011C4×Q16—431no—
1012C4×SD16—431no—
1013C4×SD16—431no—
1014C4×SD16—431no—
1015C4×SD16—431no—
1016C4×SD16—431no—
1017C4×SD16C2×D4311yescharacteristic, complemented
1018C4×D8—431no—
1019C4×D8—431no—
1020C4×D8C2×D4311yescharacteristic
1021C4×D8C2×D4311yescharacteristic, complemented
1022#428—431no—
1023C2×#107—431no—
1024C2×#106—431no—
1025#424—431no—
1026#424—431no—
1027C2×C4⋊C8—431no—
1028#418—431no—
1029#417—431no—
1030#417—431no—
1031#417—431no—
1032#417—431no—
1033#417—431no—
1034#416—431no—
1035#416—431no—
1036C2×#102—431no—
1037C2×#102—431no—
1038#405—431no—
1039#405—431no—
1040C4×M16—431no—
1041C43#6134911yescharacteristic, complemented, Sylow
1042C2×#41—431no—
1043C2×#41—431no—
1044C2×#41—431no—
1045C2×#41—861no—
1046C2×#41—861no—
1047C22×D4—431no—
1048C23×C4—861no—
1049AGL(1,ℤ/8)—864no—
1050#135—864no—
1051#135—864no—
1052C2×Q16—431no—
1053C2×Q16—431no—
1054C2×SD16—431no—
1055C2×SD16—431no—
1056C2×SD16—431no—
1057C2×SD16—431no—
1058C2×SD16—431no—
1059C2×SD16C22×D4311yescharacteristic
1060C2×D8—431no—
1061C2×D8—431no—
1062C2×D8C22×D4311yescharacteristic
1063C2×D8C22×D4311yescharacteristic
1064C2×M16—431no—
1065C2×M16—431no—
1066C22×C8—431no—
1067C22×C8—431no—
1068C4⋊Q8—431no—
1069C4⋊Q8—431no—
1070C4⋊Q8—431no—
1071C4⋊Q8—431no—
1072C4⋊Q8—431no—
1073C4⋊Q8—431no—
1074C4⋊Q8—861no—
1075C4⋊Q8—861no—
1076C4⋊Q8—861no—
1077C4⋊Q8—861no—
1078C4⋊Q8—861no—
1079C4⋊Q8—861no—
1080C4⋊Q8C22×D4311yescharacteristic
1081#127—431no—
1082#127—431no—
1083#127—431no—
1084#127—431no—
1085#127C22×D4311yescharacteristic
1086#126—861no—
1087#126—861no—
1088#126—861no—
1089#126—861no—
1090#125—431no—
1091#125—431no—
1092#125—431no—
1093#125—431no—
1094#125—431no—
1095#125—431no—
1096#125—431no—
1097#125—431no—
1098#125—861no—
1099#125—861no—
1100#125—861no—
1101#125—861no—
1102#125—861no—
1103#125—861no—
1104#125—861no—
1105#125—861no—
1106#125—861no—
1107#125—861no—
1108#125—861no—
1109#125—861no—
1110#125C22×D4311yescharacteristic
1111#125C22×D4311yescharacteristic
1112#124—21no—
1113#124—431no—
1114#124—431no—
1115#124—431no—
1116#124—431no—
1117#124—861no—
1118#124—861no—
1119#124—861no—
1120#124C22×D4311yescharacteristic
1121#124C22×D4311yescharacteristic
1122#123—21no—
1123#123—21no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128#123—861no—
1129#123—861no—
1130C22⋊Q8—21no—
1131C22⋊Q8—21no—
1132C22⋊Q8—21no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—431no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152#121—861no—
1153#121—861no—
1154#121—861no—
1155#121—861no—
1156#121—861no—
1157#121—861no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#120—861no—
1165#120—861no—
1166#120—861no—
1167#120—861no—
1168C4×Q8—431no—
1169C4×Q8—431no—
1170C4×Q8—431no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—431no—
1176C4×Q8—431no—
1177C4×Q8—431no—
1178C4×Q8—431no—
1179C4×Q8—431no—
1180C4×Q8—861no—
1181C4×Q8—861no—
1182C4×Q8—861no—
1183C4×Q8—861no—
1184C4×Q8C22×D4311yescharacteristic
1185C4×Q8C22×D4311yescharacteristic
1186C4×D4—21no—
1187C4×D4—431no—
1188C4×D4—431no—
1189C4×D4—431no—
1190C4×D4—431no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—431no—
1194C4×D4—431no—
1195C4×D4—431no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4—861no—
1206C4×D4—861no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4C22×D4311yescharacteristic
1214C4×D4C22×D4311yescharacteristic
1215C4×D4C22×D4311yescharacteristic
1216C4×D4C22×D4311yescharacteristic
1217C4×D4C22×D4311yescharacteristic
1218#117—431no—
1219#117—431no—
1220#117—431no—
1221#117—861no—
1222#117—861no—
1223#117—861no—
1224#117—861no—
1225#117—861no—
1226#117—861no—
1227#117—861no—
1228C2×C4⋊C4—21no—
1229C2×C4⋊C4—431no—
1230C2×C4⋊C4—431no—
1231C2×C4⋊C4—431no—
1232C2×C4⋊C4—861no—
1233C2×C4⋊C4—861no—
1234C2×C4⋊C4—861no—
1235C2×C4⋊C4—861no—
1236C2×C4⋊C4—861no—
1237C2×C4⋊C4—861no—
1238C2×C4⋊C4—861no—
1239C2×C4⋊C4—861no—
1240C2×C4⋊C4—861no—
1241C2×C22⋊C4—861no—
1242C2×C42—431no—
1243C2×C42—861no—
1244#107—431no—
1245#107—431no—
1246#107—431no—
1247#107—431no—
1248#107C22×D4311yescharacteristic
1249#107C22×D4311yescharacteristic
1250#106—431no—
1251#106—431no—
1252#106—431no—
1253#106—431no—
1254#106—431no—
1255#106C22×D4311yescharacteristic
1256C4⋊C8—431no—
1257C4⋊C8—431no—
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8—431no—
1264C4⋊C8—431no—
1265C4⋊C8C22×D4311yescharacteristic
1266C4⋊C8C22×D4311yescharacteristic
1267C4⋊C8C22×D4311yescharacteristic
1268#103—431no—
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
1279#103C22×D4311yescharacteristic
1280#103C22×D4311yescharacteristic
1281#103C22×D4311yescharacteristic
1282#102—431no—
1283#102—431no—
1284#102—431no—
1285#102—431no—
1286#102—431no—
1287#102—431no—
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102—431no—
1295#102—431no—
1296#102—431no—
1297#102—431no—
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102C22×D4311yescharacteristic
1302#102C22×D4311yescharacteristic
1303#102C22×D4311yescharacteristic
1304#102C22×D4311yescharacteristic
1305#102C22×D4311yescharacteristic
1306#102C22×D4311yescharacteristic
1307#102C22×D4311yescharacteristic
1308#97—431no—
1309#97—431no—
1310#97—431no—
1311#97—431no—
1312#97—431no—
1313#97—431no—
1314C4×C8—431no—
1315C4×C8—431no—
1316C4×C8—431no—
1317C4×C8C22×D4311yescharacteristic
1318C4×C8C22×D4311yescharacteristic
1319C4×C8C22×D4311yescharacteristic
1320C24—861no—
1321#41—434no—
1322#41—862no—
1323#41—862no—
1324#41—862no—
1325#41—862no—
1326#41—862no—
1327#41—3442no—
1328#41—3442no—
1329C2×Q8—21no—
1330C2×Q8—431no—
1331C2×Q8—431no—
1332C2×Q8—431no—
1333C2×Q8—431no—
1334C2×Q8—431no—
1335C2×Q8—861no—
1336C2×Q8—861no—
1337C2×Q8—861no—
1338C2×Q8D4×D4311yescharacteristic
1339C2×Q8C23×D4311yescharacteristic
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—431no—
1343C2×D4—431no—
1344C2×D4—861no—
1345C2×D4—862no—
1346C2×D4—862no—
1347C2×D4—861no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—861no—
1351C2×D4—861no—
1352C2×D4—861no—
1353C2×D4—861no—
1354C2×D4—861no—
1355C2×D4—861no—
1356C2×D4—861no—
1357C2×D4—861no—
1358C2×D4C23×D4311yescharacteristic
1359C2×D4C23×D4311yescharacteristic
1360C2×D4C23×D4311yescharacteristic
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—431no—
1367C22×C4—431no—
1368C22×C4—431no—
1369C22×C4—861no—
1370C22×C4—861no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4—861no—
1375C22×C4—861no—
1376C22×C4—861no—
1377C22×C4—861no—
1378C22×C4—861no—
1379C22×C4—861no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—861no—
1383C22×C4—861no—
1384C22×C4—3442no—
1385Q16—862no—
1386Q16—862no—
1387SD16—22no—
1388SD16—862no—
1389SD16—862no—
1390SD16—862no—
1391SD16—862no—
1392SD16—862no—
1393D8—22no—
1394D8—22no—
1395D8—862no—
1396D8—862no—
1397M16—862no—
1398M16—862no—
1399C2×C8—431no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8—862no—
1404C2×C8—862no—
1405C2×C8C23×D4311yescharacteristic
1406C2×C8C23×D4311yescharacteristic
1407C2×C8C23×D4311yescharacteristic
1408C2×C8C23×D4311yescharacteristic
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—431no—
1416C4⋊C4—431no—
1417C4⋊C4—431no—
1418C4⋊C4—431no—
1419C4⋊C4—431no—
1420C4⋊C4—431no—
1421C4⋊C4—431no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4D4×D4311yescharacteristic
1462C4⋊C4D4×D4311yescharacteristic
1463C4⋊C4D4×D4311yescharacteristic
1464C4⋊C4C23×D4311yescharacteristic
1465C4⋊C4C23×D4311yescharacteristic
1466C4⋊C4C23×D4311yescharacteristic
1467C4⋊C4C23×D4311yescharacteristic
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—431no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4—861no—
1499C42—21no—
1500C42—431no—
1501C42—431no—
1502C42—431no—
1503C42—431no—
1504C42—431no—
1505C42—861no—
1506C42—861no—
1507C42—861no—
1508C42—861no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42C23×D4311yescharacteristic
1516C42C23×D4311yescharacteristic
1517C42C23×D4311yescharacteristic
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—431no—
1522C23—861no—
1523C23—861no—
1524C23—3441no—
1525C23—3441no—
1526C23—1722no—
1527Q8—21no—
1528Q8—21no—
1529Q8—41no—
1530Q8—81no—
1531Q8—432no—
1532Q8—861no—
1533Q8—861no—
1534Q8—861no—
1535Q8—3441no—
1536Q8—3441no—
1537Q8—3441no—
1538Q8—1721no—
1539Q8—1721no—
1540Q8—1721no—
1541D4—21no—
1542D4—21no—
1543D4—21no—
1544D4—21no—
1545D4—21no—
1546D4—81no—
1547D4—81no—
1548D4—864no—
1549D4—861no—
1550D4—861no—
1551D4—861no—
1552D4—861no—
1553D4—3441no—
1554D4—3441no—
1555D4—3441no—
1556D4—3441no—
1557D4—3441no—
1558D4—3441no—
1559D4—3441no—
1560D4—1722no—
1561D4—1722no—
1562D4—1722no—
1563D4—1722no—
1564D4#41×D4312yes—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—81no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4—81no—
1575C2×C4—431no—
1576C2×C4—432no—
1577C2×C4—432no—
1578C2×C4—431no—
1579C2×C4—431no—
1580C2×C4—431no—
1581C2×C4—431no—
1582C2×C4—431no—
1583C2×C4—431no—
1584C2×C4—864no—
1585C2×C4—861no—
1586C2×C4—861no—
1587C2×C4—861no—
1588C2×C4—861no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—3441no—
1592C2×C4—3441no—
1593C2×C4—3441no—
1594C2×C4—3441no—
1595C2×C4—3441no—
1596C2×C4—3441no—
1597C2×C4—3441no—
1598C2×C4—3441no—
1599C2×C4—3441no—
1600C2×C4—3441no—
1601C2×C4—1721no—
1602C2×C4—1721no—
1603C2×C4—1722no—
1604C2×C4—1722no—
1605C2×C4—1722no—
1606C2×C4—1722no—
1607C2×C4C2×D4×D4311yescharacteristic
1608C2×C4C2×D4×D4311yescharacteristic
1609C2×C4C2×D4×D4311yescharacteristic
1610C2×C4C2×D4×D4311yescharacteristic
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C24×D4311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—861no—
1619C8—861no—
1620C8—861no—
1621C8—861no—
1622C22—22no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—432no—
1632C22—861no—
1633C22—861no—
1634C22—3444no—
1635C22—1721no—
1636C22—1721no—
1637C22—1721no—
1638C22—1721no—
1639C22—1721no—
1640C22—1721no—
1641C22C22×D4×D4311yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—432no—
1654C4—862no—
1655C4—861no—
1656C4—861no—
1657C4—861no—
1658C4—861no—
1659C4—861no—
1660C4—861no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4C2×#41×D4311yescharacteristic
1667C42−1+4×D4311yescharacteristic
1668C2—42no—
1669C2—81no—
1670C2—81no—
1671C2—862no—
1672C2—3441no—
1673C2—3441no—
1674C2#548×D4311yescharacteristic
1675C2#1914936411yescharacteristic
1676C2#1914937011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3361C2
socleC22×C43C23×D4
hypercenter#3361D43
hypocenterC43#61349
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3361

Complements

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

NH ≅ G/Ntype
1. #19148443C2semidirect
2. #19148415C2semidirect
3. #19147444C2semidirect
4. #19147443C2semidirect
5. #19147419C2semidirect
6. #19147418C2semidirect
7. #19147369C2semidirect
8. #19147357C2semidirect
9. #19147348C2semidirect
10. #19147344C2semidirect
11. #19147329C2semidirect
12. #19147327C2semidirect
13. #19147300C2semidirect
14. #19147297C2semidirect
15. #19147294C2semidirect
16. #19147293C2semidirect
17. #19147250C2semidirect
18. #19144992C2semidirect
19. #19144948C2semidirect
20. #19144944C2semidirect
21. #19144458C2semidirect
22. #19144443C2semidirect
23. #478×D43C2semidirect
24. #19144135C2semidirect
25. #19144129C2semidirect
26. #19144047C2semidirect
27. #19143537C2semidirect
28. #19143473C2semidirect
29. #19143465C2semidirect
30. C4×#13063349C2semidirect
31. C43×#3361C2semidirect
38. #14583627C22semidirect
39. #14583626C22semidirect
40. #14583626C22semidirect
41. #14583624C22semidirect
45. #14583608C22semidirect
46. #14583608C22semidirect
48. #14583606C22semidirect
78. #14583266C22semidirect
79. #14583266C22semidirect
84. #14583262C22semidirect
85. #14583262C22semidirect
90. #14583256C22semidirect
93. #14583254C22semidirect
94. #14583253C22semidirect
99. #14583206C22semidirect
100. #14583205C22semidirect
101. #14583204C22semidirect
102. #14583203C22semidirect
104. #14583202C22semidirect
106. #14583201C22semidirect
108. #14583200C22semidirect
113. #14583192C22semidirect
114. #14583189C22semidirect
115. #14583187C22semidirect
116. #14583185C22semidirect
117. #14583183C22semidirect
118. #14583178C22semidirect
119. #14583176C22semidirect
122. #14583122C22semidirect
125. #14583118C22semidirect
128. #14583114C22semidirect
130. #14583108C22semidirect
131. #14583102C22semidirect
135. #14583098C22semidirect
140. #14583092C22semidirect
141. #14583030C22semidirect
142. #14583029C22semidirect
143. #14583029C22semidirect
144. #14583029C22semidirect
145. #14583028C22semidirect
146. #14583028C22semidirect
147. #14583023C22semidirect
149. #14583009C22semidirect
151. #14583008C22semidirect
152. #14583004C22semidirect
153. #14583003C22semidirect
154. #14582999C22semidirect
155. #14582999C22semidirect
158. #14582996C22semidirect
159. #14582996C22semidirect
160. C4×Dic172C22semidirect
161. #14582993C22semidirect
163. C4×#10621873C22semidirect
164. SD16×Dic43C22semidirect
165. #14582986C22semidirect
167. D8×Dic43C22semidirect
189. C43×#554C22semidirect
191. C43×#488C22semidirect
194. C43×#478C22semidirect
195. C43×#477C22semidirect
197. C43×#463C22semidirect
199. C8×Q8×C43C22semidirect
200. C4×SD16×C43C22semidirect
202. C4×D8×C43C22semidirect
517. #10621900#41semidirect
847. #3361D43semidirect
891. #554C2×D43semidirect
937. #488C2×D43semidirect
957. #478C2×D43semidirect
959. #477C2×D43semidirect
977. #463C2×D43semidirect
997. C8×Q8C2×D43semidirect
1017. C4×SD16C2×D43semidirect
1021. C4×D8C2×D43semidirect
1041. C43#61349semidirect

Maximal subgroups

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

subgroupindex
#191484432
#191484152
#191474442
#191474432
#191474192
#191474182
#191473692
#191473572
#191473482
#191473442
#191473292
#191473272
#191473002
#191472972
#191472942
#191472932
#191472502
#191449922
#191449482
#191449442
#191444582
#191444432
#478×D432
#191441352
#191441292
#191440472
#191435372
#191434732
#191434652
C4×#130633492
C43×#33612
#6134943