Finite Group Databasebeta

← #25979610

Subgroups — #25979610

Order 11008.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148699C211yesmaximal, characteristic, complemented
2#19148666C211yesmaximal, characteristic, complemented
3#19147655C211yesmaximal, characteristic, complemented
4#19147540C211yesmaximal, characteristic, complemented
5#19147282C211yesmaximal, characteristic, complemented
6#19147162C211yesmaximal, characteristic, complemented
7#19147122C211yesmaximal, characteristic, complemented
8#19147092C211yesmaximal, characteristic, complemented
9#19146533C211yesmaximal, characteristic, complemented
10#19146525C211yesmaximal, characteristic, complemented
11#19146496C211yesmaximal, characteristic, complemented
12#19146481C211yesmaximal, characteristic, complemented
13#19146450C211yesmaximal, characteristic, complemented
14#19146435C211yesmaximal, characteristic, complemented
15#19146232C211yesmaximal, characteristic, complemented
16#19146156C211yesmaximal, characteristic, complemented
17#19146141C211yesmaximal, characteristic, complemented
18#19145285C211yesmaximal, characteristic, complemented
19#19145262C211yesmaximal, characteristic, complemented
20#19145164C211yesmaximal, characteristic, complemented
21#19144829C211yesmaximal, characteristic, complemented
22#19144814C211yesmaximal, characteristic, complemented
23#19144791C211yesmaximal, characteristic, complemented
24#19144776C211yesmaximal, characteristic, complemented
25#19144709C211yesmaximal, characteristic, complemented
26#19144701C211yesmaximal, characteristic, complemented
27#19143572C211yesmaximal, characteristic, complemented
28#19143431C211yesmaximal, characteristic, complemented
29#19143420C211yesmaximal, characteristic, complemented
30C4×#13063344C211yesmaximal, characteristic, complemented
31C43×#3361C211yesmaximal, characteristic, complemented
32C2×#13063354C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063344C2211yescharacteristic
35#14583633—21no—
36#14583627C2211yescharacteristic, complemented
37#14583623C2211yescharacteristic
38#14583622C2211yescharacteristic
39#14583614C2211yescharacteristic, complemented
40#14583611—21no—
41#14583602C2211yescharacteristic
42#14583599C2211yescharacteristic
43#14583598—21no—
44#14583597—21no—
45#14583591—21no—
46#14583590C2211yescharacteristic
47#14583587C2211yescharacteristic
48#14583586—21no—
49#14583576—21no—
50#14583576—21no—
51#14583569C2211yescharacteristic
52#14583557C2211yescharacteristic
53#14583557C2211yescharacteristic, complemented
54#14583553C2211yescharacteristic
55#14583544C2211yescharacteristic
56#14583544C2211yescharacteristic
57#14583523C2211yescharacteristic
58#14583518C2211yescharacteristic
59#14583513—21no—
60#14583512C2211yescharacteristic
61#14583503C2211yescharacteristic, complemented
62#14583501—21no—
63#14583498—21no—
64#14583489—21no—
65#14583436C2211yescharacteristic
66#14583435—21no—
67#14583434C2211yescharacteristic
68#14583429—21no—
69#14583428C2211yescharacteristic, complemented
70#14583426—21no—
71C2×#13063320—21no—
72#14583378C2211yescharacteristic
73#14583378C2211yescharacteristic
74#14583375C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic
76C4×#10621900C2211yescharacteristic
77C4×#10621900C2211yescharacteristic, complemented
78#14583309C2211yescharacteristic, complemented
79#14583305C2211yescharacteristic, complemented
80#14583298C2211yescharacteristic, complemented
81#14583294C2211yescharacteristic, complemented
82#14583286C2211yescharacteristic
83#14583281C2211yescharacteristic
84#14583254C2211yescharacteristic
85#14583254C2211yescharacteristic
86#14583250C2211yescharacteristic, complemented
87#14583242C2211yescharacteristic, complemented
88#14583242C2211yescharacteristic, complemented
89#14583239C2211yescharacteristic
90#14583238C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic
92#14583231C2211yescharacteristic
93#14583226C2211yescharacteristic
94#14583225C2211yescharacteristic
95#14583221C2211yescharacteristic
96#14583221C2211yescharacteristic, complemented
97#14583216C2211yescharacteristic, complemented
98#14583211C2211yescharacteristic, complemented
99#14583207C2211yescharacteristic, complemented
100#14583207C2211yescharacteristic, complemented
101#14583203C2211yescharacteristic, complemented
102#14583203C2211yescharacteristic, complemented
103#14583199C2211yescharacteristic
104#14583199C2211yescharacteristic
105#14583189C2211yescharacteristic
106#14583181C2211yescharacteristic, complemented
107#14583180C2211yescharacteristic
108#14583156C2211yescharacteristic
109#14583151C2211yescharacteristic
110#14583144C2211yescharacteristic
111#14583144C2211yescharacteristic, complemented
112#14583139C2211yescharacteristic
113#14583139C2211yescharacteristic, complemented
114#14583134C2211yescharacteristic
115#14583134C2211yescharacteristic
116#14583131C2211yescharacteristic
117#14583127C2211yescharacteristic
118#14583127C2211yescharacteristic, complemented
119#14583127C2211yescharacteristic, complemented
120#14583122C2211yescharacteristic
121#14583122C2211yescharacteristic
122#14583121C2211yescharacteristic
123#14583118C2211yescharacteristic, complemented
124#14583114C2211yescharacteristic
125#14583111C2211yescharacteristic
126#14583110C2211yescharacteristic, complemented
127#14583104C2211yescharacteristic, complemented
128#14583096C2211yescharacteristic, complemented
129#14583062C2211yescharacteristic
130#14583062C2211yescharacteristic
131#14583062C2211yescharacteristic, complemented
132#14583058C2211yescharacteristic
133#14583056C2211yescharacteristic, complemented
134#14583048C2211yescharacteristic
135#14583045C2211yescharacteristic
136#14583041C2211yescharacteristic
137#14583041C2211yescharacteristic
138#14583041C2211yescharacteristic
139#14583039C2211yescharacteristic
140#14583031C2211yescharacteristic
141#14583030C2211yescharacteristic, complemented
142#14583011C2211yescharacteristic
143#14583009C2211yescharacteristic
144#14583008C2211yescharacteristic
145#14583005C2211yescharacteristic, complemented
146#14583004C2211yescharacteristic, complemented
147#14583003C2211yescharacteristic, complemented
148#14583000C2211yescharacteristic
149#14582999C2211yescharacteristic
150#14582999C2211yescharacteristic
151#14582998C2211yescharacteristic
152#14582996C2211yescharacteristic, complemented
153#14582996C2211yescharacteristic, complemented
154C4×Dic172C2211yescharacteristic, complemented
155C4×Dic172C2211yescharacteristic, complemented
156#14582993C2211yescharacteristic, complemented
157#14582991C2211yescharacteristic, complemented
158#14582990C2211yescharacteristic
159#14582990C2211yescharacteristic, complemented
160#14582990C2211yescharacteristic, complemented
161C4×#10621873C2211yescharacteristic
162C4×#10621883C2211yescharacteristic
163C4×#10621883C2211yescharacteristic, complemented
164#14582984C2211yescharacteristic
165D8×Dic43C2211yescharacteristic
166#14582979C2211yescharacteristic
167#14582976C2211yescharacteristic
168#14582969C2211yescharacteristic
169#14582969C2211yescharacteristic, complemented
170C8×D172C2211yescharacteristic
171C8×D172C2211yescharacteristic
172C8×D172C2211yescharacteristic, complemented
173#14582959C2211yescharacteristic
174#14582959C2211yescharacteristic, complemented
175#14582955C2211yescharacteristic, complemented
176#14582940C2211yescharacteristic
177#14582938C2211yescharacteristic, complemented
178#14582936C2211yescharacteristic, complemented
179#14582892C2211yescharacteristic
180#14582892C2211yescharacteristic
181#14582892C2211yescharacteristic
182#14582892C2211yescharacteristic, complemented
183#103×D43C2211yescharacteristic, complemented
184#102×D43C2211yescharacteristic
185#14582853C2211yescharacteristic
186#14582853C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic, complemented
188C43×#559C2211yescharacteristic, complemented
189C43×#554C2211yescharacteristic
190C43×#488C2211yescharacteristic, complemented
191C43×#488C2211yescharacteristic, complemented
192C43×#486C2211yescharacteristic, complemented
193C43×#478C2211yescharacteristic, complemented
194C43×#478C2211yescharacteristic, complemented
195C43×#477C2211yescharacteristic, complemented
196C43×#463C2211yescharacteristic
197C43×#463C2211yescharacteristic
198C43×#459C2211yescharacteristic
199C8×Q8×C43C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic
201C4×D8×C43C2211yescharacteristic
202C4×D8×C43C2211yescharacteristic
203C2×#10621900C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×#10621900C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209#13063354—24no—
210#13063349—24no—
211#13063344—24no—
212C2×Dic172C2311yescharacteristic
213C2×Dic172C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621872C2311yescharacteristic
226C2×#10621872C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229C2×C8×D43C2311yescharacteristic
230C2×C8×D43C2311yescharacteristic
231#13063325C2311yescharacteristic
232#13063325C2311yescharacteristic
233#13063323—21no—
234#13063321—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063320—21no—
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063320D411yescharacteristic
246#13063320D411yescharacteristic
247#13063319—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063317C2311yescharacteristic
252#13063317C2311yescharacteristic
253#13063316—21no—
254#13063316—21no—
255#13063316—21no—
256#13063316D411yescharacteristic
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063314—21no—
261#13063314—21no—
262#13063314D411yescharacteristic
263#13063313C2311yescharacteristic
264#13063313C2311yescharacteristic
265#13063311—21no—
266#13063311—21no—
267#13063311—21no—
268#13063311—21no—
269#13063311—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310D411yescharacteristic
276#13063310D411yescharacteristic
277#13063309—21no—
278#13063309—21no—
279#13063309—21no—
280#13063309—21no—
281#13063309—21no—
282#13063308—21no—
283#13063307—21no—
284#13063306—21no—
285#13063306—21no—
286#13063305C2311yescharacteristic
287#13063305C2311yescharacteristic
288#13063305C2311yescharacteristic
289#13063305C2311yescharacteristic
290#13063302—21no—
291#13063302—21no—
292#13063302—21no—
293#13063301—21no—
294#13063301—21no—
295#13063301D411yescharacteristic
296#13063301C2311yescharacteristic
297#13063301C2311yescharacteristic
298#13063300—21no—
299#13063300D411yescharacteristic
300#13063300C2311yescharacteristic
301#13063300C2311yescharacteristic
302#13063299—21no—
303#13063299—21no—
304#13063299—21no—
305#13063299—21no—
306#13063298—21no—
307#13063298—21no—
308#13063298—21no—
309#13063297—21no—
310#13063297—21no—
311#13063297—21no—
312#13063297—21no—
313#13063296C2311yescharacteristic
314#13063296C2311yescharacteristic
315#13063296C2311yescharacteristic
316#13063296C2311yescharacteristic
317#13063295—21no—
318#13063295—21no—
319Q8×Dic43—21no—
320Q8×Dic43C2311yescharacteristic
321C4×Dic86—21no—
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326C4×Dic86C2311yescharacteristic
327#13063290—21no—
328#13063290—21no—
329#13063290C2311yescharacteristic
330#13063290C2311yescharacteristic
331#13063290C2311yescharacteristic
332C4×D172C2311yescharacteristic
333C4×D172C2311yescharacteristic
334C4×D172C2311yescharacteristic
335C4×D172C2311yescharacteristic
336D4×Dic43—21no—
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340#13063287—21no—
341#13063287—21no—
342#13063287C2311yescharacteristic
343C4×C22⋊D43—21no—
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43—21no—
348C4×C22⋊D43—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(C22⋊D43)⋊C4—21no—
357#13063284—21no—
358#13063283—21no—
359#13063283—21no—
360#13063283—21no—
361#13063283—21no—
362#13063283C2311yescharacteristic
363#13063283C2311yescharacteristic
364#13063283C2311yescharacteristic
365#13063283C2311yescharacteristic
366#13063282—21no—
367#13063282—21no—
368#13063282C2311yescharacteristic
369#13063282C2311yescharacteristic
370#13063281—21no—
371#13063281—21no—
372#13063281—21no—
373#13063281—21no—
374#13063281—21no—
375C2×C4⋊Dic43—21no—
376C2×Dic43⋊C4—21no—
377C2×Dic43⋊C4—21no—
378C4⋊C4×D43C2311yescharacteristic
379C4⋊C4×D43C2311yescharacteristic
380C2×(C2×D43)⋊C4—21no—
381C2×(C2×D43)⋊C4—21no—
382C2×(C2×D43)⋊C4—21no—
383C22⋊C4×D43—21no—
384C2×C4×Dic43—21no—
385C2×C4×Dic43—21no—
386C42×D43C2311yescharacteristic
387#13063259C2311yescharacteristic
388#13063259C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398#13063256C2311yescharacteristic
399#13063256C2311yescharacteristic
400C4⋊(C43⋊C8)C2311yescharacteristic
401C4⋊(C43⋊C8)C2311yescharacteristic
402C4⋊(C43⋊C8)C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063245C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431#13063236C2311yescharacteristic
432#13063236C2311yescharacteristic
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—
511Q8×D43—22no—
512Q8×D43—41no—
513#10621900—22no—
514#10621900—22no—
515#10621900—22no—
516#10621900—22no—
517#10621900—41no—
518#10621900—41no—
519#10621900—41no—
520#10621900—41no—
521D4×D43—22no—
522D4×D43—41no—
523C2×D172—21no—
524C2×D172—21no—
525C2×D172C2×D411yescharacteristic
526C2×D172C2×D411yescharacteristic
527C2×D172C2×D411yescharacteristic
528C2×D172C2411yescharacteristic
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43C2×D411yescharacteristic
535C2×C4×D43C2×D411yescharacteristic
536C2×C4×D43C2411yescharacteristic
537C2×C4×D43C2411yescharacteristic
538C2×C4×D43C2411yescharacteristic
539C2×Dic86—21no—
540C2×Dic86—21no—
541C2×Dic86C2411yescharacteristic
542C2×Dic86C2411yescharacteristic
543C2×Dic86C2411yescharacteristic
544SD16×C43—22no—
545D8×C43—22no—
546D8×C43—22no—
547C2×C8×C43C2411yescharacteristic
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
550C2×C8×C43C2411yescharacteristic
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43C2×D411yescharacteristic
558C4⋊C4×C43C2×D411yescharacteristic
559C4⋊C4×C43C2×D411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
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—
573C42×C43—21no—
574C42×C43C2411yescharacteristic
575C42×C43C2411yescharacteristic
576C42×C43C2411yescharacteristic
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584#10621885—22no—
585#10621885—41no—
586#10621884—41no—
587#10621883—22no—
588#10621883—41no—
589#10621883—41no—
590#10621883—41no—
591#10621883#4114yes—
592#10621882—22no—
593#10621882—41no—
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)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
613(C2×D43)⋊C4C2×D411yescharacteristic
614(C2×D43)⋊C4C2×D411yescharacteristic
615(C2×D43)⋊C4C2×D411yescharacteristic
616(C2×D43)⋊C4C2×D411yescharacteristic
617(C2×D43)⋊C4C2×D411yescharacteristic
618(C2×D43)⋊C4C2×D411yescharacteristic
619(C2×D43)⋊C4C2×D411yescharacteristic
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⋊Dic43C2×D411yescharacteristic
631C4⋊Dic43C2×D411yescharacteristic
632C4⋊Dic43C2×D411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2×D411yescharacteristic
672C4×Dic43C2411yescharacteristic
673C2×C43⋊C8C2411yescharacteristic
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677Dic172—22no—
678Dic172—22no—
679#10621873—22no—
680#10621872—22no—
681#10621872—22no—
682C8×D43—22no—
683C8×D43—41no—
684C8×D43—41no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43—21no—
689C22×D43—21no—
690C22×D43—42no—
691C22×D43—81no—
692C22×D43—81no—
693C22×D43C22×D411yescharacteristic
694C22×D43C22×D411yescharacteristic
695C22×D43C22×D411yescharacteristic
696Q8×C43—21no—
697Q8×C43—21no—
698Q8×C43—41no—
699Q8×C43—81no—
700D4×C43—21no—
701D4×C43—21no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—21no—
705D4×C43—81no—
706D4×C43—81no—
707D4×C43C2×#4112yes—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—81no—
714C2×C4×C43—81no—
715C2×C4×C43—81no—
716C2×C4×C43—81no—
717C2×C4×C43—81no—
718C2×C4×C43C22×D411yescharacteristic
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C2511yescharacteristic
725C22⋊D43—42no—
726C22⋊D43—42no—
727C22⋊D43—42no—
728C22⋊D43—42no—
729C22⋊D43—42no—
730C22⋊D43—81no—
731C22⋊D43—81no—
732C22⋊D43—81no—
733C22⋊D43—81no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—42no—
742C2×Dic43—42no—
743C2×Dic43—42no—
744C2×Dic43—42no—
745C2×Dic43—81no—
746C2×Dic43—81no—
747C2×Dic43—81no—
748C2×Dic43C22×D411yescharacteristic
749C2×Dic43C22×D411yescharacteristic
750C2×Dic43C22×D411yescharacteristic
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753D172—21no—
754D172—21no—
755D172—41no—
756D172—41no—
757D172—41no—
758D172—81no—
759D172—81no—
760C4×D43—21no—
761C4×D43—21no—
762C4×D43—21no—
763C4×D43—21no—
764C4×D43—21no—
765C4×D43—21no—
766C4×D43—41no—
767C4×D43—41no—
768C4×D43—42no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773Dic86—21no—
774Dic86—21no—
775Dic86—21no—
776Dic86—21no—
777Dic86—21no—
778Dic86—42no—
779Dic86—81no—
780Dic86C2×#4112yes—
781C8×C43—21no—
782C8×C43—21no—
783C8×C43—21no—
784C8×C43—21no—
785C43⋊C8—21no—
786C43⋊C8—21no—
787C43⋊C8—21no—
788C43⋊C8C2×#4112yes—
789#61500—431nomaximal, Sylow
790C22×C43—22no—
791C22×C43—41no—
792C22×C43—41no—
793C22×C43—41no—
794C22×C43—41no—
795C22×C43—41no—
796C22×C43—41no—
797C22×C43—41no—
798C22×C43—41no—
799C22×C43C23×D411yescharacteristic
800C2×D43—21no—
801C2×D43—21no—
802C2×D43—21no—
803C2×D43—21no—
804C2×D43—21no—
805C2×D43—21no—
806C2×D43—21no—
807C2×D43—21no—
808C2×D43—21no—
809C2×D43—41no—
810C2×D43—41no—
811C2×D43—41no—
812C2×D43—162no—
813C4×C43—21no—
814C4×C43—21no—
815C4×C43—21no—
816C4×C43—21no—
817C4×C43—21no—
818C4×C43—21no—
819C4×C43—41no—
820C4×C43—41no—
821C4×C43—41no—
822C4×C43—41no—
823C4×C43—41no—
824C4×C43C22×#4111yescharacteristic
825C4×C43#58511yescharacteristic
826Dic43—21no—
827Dic43—21no—
828Dic43—22no—
829Dic43—21no—
830Dic43—21no—
831Dic43—21no—
832Dic43—41no—
833Dic43—41no—
834Dic43—41no—
835Dic43—41no—
836Dic43—41no—
837Dic43—41no—
838#3524—431no—
839#3521—431no—
840#3401—431no—
841#3388—431no—
842#3364—431no—
843#3361D4311yescharacteristic, complemented
844#3351—431no—
845#3349—431no—
846#3347—431no—
847#3304—431no—
848#3303—431no—
849#3301—431no—
850#3300—431no—
851#3297—431no—
852#3296—431no—
853#3275—431no—
854#3269—431no—
855#3268—431no—
856#3179—431no—
857#3178—431no—
858#3168—431no—
859#3121—431no—
860#3120—431no—
861#3119—431no—
862#3118—431no—
863#3111—431no—
864#3111—431no—
865#2966—431no—
866#2947—431no—
867#2946—431no—
868C4×#135—431no—
869C2×C43—42no—
870C2×C43—81no—
871C2×C43—81no—
872C2×C43D4×#4111yescharacteristic
873C2×C43#358411yescharacteristic
874C2×C43#358411yescharacteristic
875D43—41no—
876D43—41no—
877D43—41no—
878D43—81no—
879C2×#137—431no—
880C2×AGL(1,ℤ/8)—431no—
881C2×#135—431no—
882#559—861no—
883#559C2×D4311yescharacteristic, complemented
884#557—431no—
885#556—431no—
886#556—431no—
887#555—431no—
888#555—861no—
889#554C2×D4311yescharacteristic
890#553—431no—
891#553—431no—
892#553—861no—
893#553—861no—
894#552—431no—
895#552—431no—
896#552—861no—
897#552—861no—
898#551—861no—
899#551—861no—
900#550—431no—
901#548—431no—
902#548—431no—
903#547—431no—
904#546—431no—
905#546—431no—
906#542—431no—
907#542—431no—
908#542—861no—
909#541—431no—
910#540—431no—
911#540—861no—
912#539—861no—
913#538—861no—
914#529—431no—
915#529—431no—
916#529—431no—
917#529—861no—
918#529—861no—
919#529—861no—
920C2×#126—861no—
921#520—431no—
922#520—431no—
923#519—431no—
924#518—431no—
925C4×#41—431no—
926C4×#41—431no—
927#501—431no—
928#501—431no—
929#499—431no—
930#497—431no—
931#496—431no—
932#495—431no—
933#488—431no—
934#488—431no—
935#488C2×D4311yescharacteristic, complemented
936#488C2×D4311yescharacteristic, complemented
937#487—431no—
938#486C2×D4311yescharacteristic, complemented
939#485—431no—
940#485—431no—
941#485—431no—
942#485—431no—
943#484—431no—
944#483—431no—
945#482—431no—
946#482—431no—
947#482—431no—
948#482—431no—
949#481—431no—
950#480—431no—
951#479—431no—
952#479—431no—
953#479—431no—
954#479—431no—
955#478—431no—
956#478—431no—
957#478C2×D4311yescharacteristic, complemented
958#478C2×D4311yescharacteristic, complemented
959#477C2×D4311yescharacteristic, complemented
960#476—431no—
961#475—431no—
962#474—431no—
963#470—431no—
964#469—431no—
965#468—431no—
966#468—431no—
967#467—431no—
968#467—431no—
969#466—431no—
970#466—431no—
971#465—431no—
972#465—431no—
973#465—431no—
974#465—431no—
975#464—431no—
976#464—431no—
977#464—431no—
978#464—431no—
979#463—431no—
980#463—431no—
981#463C2×D4311yescharacteristic
982#463C2×D4311yescharacteristic
983#462—431no—
984#461—431no—
985#460—431no—
986#459C2×D4311yescharacteristic
987#452—431no—
988#452—431no—
989#452—431no—
990#452—431no—
991#451—431no—
992#450—431no—
993#449—431no—
994#449—431no—
995#449—431no—
996#449—431no—
997#448—431no—
998#447—431no—
999#446—431no—
1000C8×Q8C2×D4311yescharacteristic, complemented
1001#442—431no—
1002#442—431no—
1003#442—431no—
1004#441—431no—
1005#441—431no—
1006#441—431no—
1007#440—431no—
1008#440—431no—
1009#440—431no—
1010#440—431no—
1011#440—431no—
1012#440—431no—
1013C4×Q16—431no—
1014C4×Q16—431no—
1015C4×Q16—431no—
1016C4×Q16—431no—
1017C4×SD16—431no—
1018C4×SD16—431no—
1019C4×SD16—431no—
1020C4×SD16—431no—
1021C4×SD16—431no—
1022C4×SD16—431no—
1023C4×SD16—431no—
1024C4×SD16C2×D4311yescharacteristic
1025C4×D8—431no—
1026C4×D8—431no—
1027C4×D8C2×D4311yescharacteristic
1028C4×D8C2×D4311yescharacteristic
1029#436—431no—
1030#435—431no—
1031#435—431no—
1032C8×D4—431no—
1033C8×D4—431no—
1034C8×D4—431no—
1035#433—431no—
1036#433—431no—
1037#432—431no—
1038#428—431no—
1039#428—431no—
1040#427—431no—
1041#416—431no—
1042#416—431no—
1043#416—431no—
1044#416—431no—
1045C2×#103—431no—
1046C2×#102—431no—
1047#405—431no—
1048#405—431no—
1049C2×C4×C8—431no—
1050C43#6150011yescharacteristic, complemented, Sylow
1051C2×#41—431no—
1052C2×#41—431no—
1053C2×#41—431no—
1054C2×#41—431no—
1055C22×Q8—431no—
1056C22×D4—431no—
1057#137—864no—
1058AGL(1,ℤ/8)—864no—
1059#135—864no—
1060C2×Q16—431no—
1061C2×Q16—431no—
1062C2×Q16—431no—
1063C2×Q16—431no—
1064C2×SD16—431no—
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—431no—
1068C2×SD16—431no—
1069C2×SD16—431no—
1070C2×SD16—431no—
1071C2×SD16C22×D4311yescharacteristic
1072C2×D8—431no—
1073C2×D8—431no—
1074C2×D8C22×D4311yescharacteristic
1075C2×D8C22×D4311yescharacteristic
1076C2×M16—431no—
1077C2×M16—431no—
1078C22×C8—431no—
1079C22×C8—431no—
1080C22×C8—431no—
1081C22×C8—431no—
1082C4⋊Q8—431no—
1083C4⋊Q8—431no—
1084C4⋊Q8—861no—
1085C4⋊Q8C22×D4311yescharacteristic
1086#127—861no—
1087#127C22×D4311yescharacteristic
1088#126—431no—
1089#126—431no—
1090#126—861no—
1091#126—861no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#125—431no—
1105#125—431no—
1106#125—431no—
1107#125—861no—
1108#125—861no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
1112#125—861no—
1113#125C22×D4311yescharacteristic
1114#125C22×D4311yescharacteristic
1115#124—21no—
1116#124—431no—
1117#124—431no—
1118#124—431no—
1119#124—861no—
1120#124—861no—
1121#124—861no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124C22×D4311yescharacteristic
1127#124C22×D4311yescharacteristic
1128#123—21no—
1129#123—21no—
1130#123—431no—
1131#123—431no—
1132#123—861no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
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—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—431no—
1150C22⋊Q8—431no—
1151C22⋊Q8—431no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161#121—431no—
1162#121—431no—
1163#121—431no—
1164#121—431no—
1165#121—431no—
1166#121—431no—
1167#121—431no—
1168#121—861no—
1169#121—861no—
1170#121—861no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#121—861no—
1180#120—861no—
1181#120—861no—
1182C4×Q8—431no—
1183C4×Q8—431no—
1184C4×Q8—431no—
1185C4×Q8—431no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—431no—
1191C4×Q8—861no—
1192C4×Q8—861no—
1193C4×Q8—861no—
1194C4×Q8—861no—
1195C4×Q8C22×D4311yescharacteristic
1196C4×Q8C22×D4311yescharacteristic
1197C4×D4—21no—
1198C4×D4—431no—
1199C4×D4—431no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—431no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—861no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4—861no—
1210C4×D4—861no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4C22×D4311yescharacteristic
1224C4×D4C22×D4311yescharacteristic
1225C4×D4C22×D4311yescharacteristic
1226C4×D4C22×D4311yescharacteristic
1227C4×D4C22×D4311yescharacteristic
1228#117—431no—
1229#117—431no—
1230#117—431no—
1231#117—431no—
1232#117—431no—
1233#117—431no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246C2×C4⋊C4—21no—
1247C2×C4⋊C4—431no—
1248C2×C4⋊C4—431no—
1249C2×C4⋊C4—861no—
1250C2×C4⋊C4—861no—
1251C2×C4⋊C4—861no—
1252C2×C22⋊C4—861no—
1253C2×C22⋊C4—861no—
1254C2×C22⋊C4—861no—
1255C2×C22⋊C4—861no—
1256C2×C42—431no—
1257C2×C42—861no—
1258C2×C42—861no—
1259#107—431no—
1260#107—431no—
1261#107—431no—
1262#107—431no—
1263#107—431no—
1264#107—431no—
1265#107C22×D4311yescharacteristic
1266#107C22×D4311yescharacteristic
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106—431no—
1271#106—431no—
1272#106—431no—
1273#106—431no—
1274#106C22×D4311yescharacteristic
1275C4⋊C8—431no—
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8C22×D4311yescharacteristic
1279C4⋊C8C22×D4311yescharacteristic
1280C4⋊C8C22×D4311yescharacteristic
1281#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103—431no—
1293#103—431no—
1294#103C22×D4311yescharacteristic
1295#103C22×D4311yescharacteristic
1296#103C22×D4311yescharacteristic
1297#102—431no—
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102—431no—
1303#102—431no—
1304#102—431no—
1305#102—431no—
1306#102C22×D4311yescharacteristic
1307#102C22×D4311yescharacteristic
1308#102C22×D4311yescharacteristic
1309#102C22×D4311yescharacteristic
1310#102C22×D4311yescharacteristic
1311#102C22×D4311yescharacteristic
1312#102C22×D4311yescharacteristic
1313C22⋊C8—431no—
1314C22⋊C8—431no—
1315C22⋊C8—431no—
1316C22⋊C8—431no—
1317C22⋊C8—431no—
1318C22⋊C8—431no—
1319#97—431no—
1320#97—431no—
1321#97—431no—
1322#97—431no—
1323C4×C8—431no—
1324C4×C8—431no—
1325C4×C8—431no—
1326C4×C8C22×D4311yescharacteristic
1327C4×C8C22×D4311yescharacteristic
1328C4×C8C22×D4311yescharacteristic
1329C24—861no—
1330#41—862no—
1331#41—862no—
1332#41—862no—
1333#41—862no—
1334#41—1721no—
1335#41—1721no—
1336#41—1721no—
1337#41—1721no—
1338C2×Q8—21no—
1339C2×Q8—431no—
1340C2×Q8—431no—
1341C2×Q8—431no—
1342C2×Q8—861no—
1343C2×Q8—861no—
1344C2×Q8—862no—
1345C2×Q8—1721no—
1346C2×Q8D4×D4311yescharacteristic
1347C2×Q8C23×D4311yescharacteristic
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—431no—
1351C2×D4—431no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—861no—
1355C2×D4—861no—
1356C2×D4—861no—
1357C2×D4—862no—
1358C2×D4—861no—
1359C2×D4—861no—
1360C2×D4—861no—
1361C2×D4—861no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—1721no—
1367C2×D4C23×D4311yescharacteristic
1368C2×D4C23×D4311yescharacteristic
1369C2×D4C23×D4311yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—431no—
1376C22×C4—431no—
1377C22×C4—431no—
1378C22×C4—431no—
1379C22×C4—431no—
1380C22×C4—861no—
1381C22×C4—861no—
1382C22×C4—861no—
1383C22×C4—861no—
1384C22×C4—861no—
1385C22×C4—861no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4—861no—
1390C22×C4—861no—
1391C22×C4—861no—
1392Q16—862no—
1393Q16—862no—
1394Q16—862no—
1395Q16—1721no—
1396SD16—22no—
1397SD16—434no—
1398SD16—862no—
1399SD16—862no—
1400SD16—1721no—
1401SD16—1721no—
1402SD16—1721no—
1403SD16—1721no—
1404D8—22no—
1405D8—22no—
1406D8—862no—
1407D8—1721no—
1408M16—862no—
1409M16—862no—
1410C2×C8—431no—
1411C2×C8—431no—
1412C2×C8—431no—
1413C2×C8—431no—
1414C2×C8—862no—
1415C2×C8—1721no—
1416C2×C8—1721no—
1417C2×C8—1721no—
1418C2×C8C23×D4311yescharacteristic
1419C2×C8C23×D4311yescharacteristic
1420C2×C8C23×D4311yescharacteristic
1421C2×C8C23×D4311yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
1432C4⋊C4—431no—
1433C4⋊C4—431no—
1434C4⋊C4—431no—
1435C4⋊C4—431no—
1436C4⋊C4—431no—
1437C4⋊C4—431no—
1438C4⋊C4—431no—
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⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4D4×D4311yescharacteristic
1464C4⋊C4D4×D4311yescharacteristic
1465C4⋊C4D4×D4311yescharacteristic
1466C4⋊C4C23×D4311yescharacteristic
1467C4⋊C4C23×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
1484C22⋊C4—431no—
1485C22⋊C4—431no—
1486C22⋊C4—431no—
1487C22⋊C4—431no—
1488C22⋊C4—431no—
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—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4—861no—
1502C22⋊C4—861no—
1503C22⋊C4—861no—
1504C22⋊C4—861no—
1505C22⋊C4—861no—
1506C22⋊C4—861no—
1507C22⋊C4—861no—
1508C22⋊C4—861no—
1509C22⋊C4—861no—
1510C22⋊C4—861no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C42—21no—
1515C42—431no—
1516C42—431no—
1517C42—431no—
1518C42—861no—
1519C42—861no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42—861no—
1527C42—861no—
1528C42—861no—
1529C42—861no—
1530C42—861no—
1531C42C23×D4311yescharacteristic
1532C42C23×D4311yescharacteristic
1533C42C23×D4311yescharacteristic
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—431no—
1538C23—431no—
1539C23—431no—
1540C23—861no—
1541C23—3441no—
1542C23—3441no—
1543C23—1722no—
1544Q8—21no—
1545Q8—21no—
1546Q8—41no—
1547Q8—81no—
1548Q8—432no—
1549Q8—861no—
1550Q8—861no—
1551Q8—861no—
1552Q8—861no—
1553Q8—861no—
1554Q8—3441no—
1555Q8—1722no—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—81no—
1562D4—81no—
1563D4—861no—
1564D4—861no—
1565D4—3441no—
1566D4—3441no—
1567D4—3441no—
1568D4—3441no—
1569D4—3441no—
1570D4—3441no—
1571D4—1721no—
1572D4—1721no—
1573D4—1721no—
1574D4—1722no—
1575D4—1722no—
1576D4—1722no—
1577D4—1722no—
1578D4—1722no—
1579D4#41×D4312yes—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—81no—
1586C2×C4—81no—
1587C2×C4—81no—
1588C2×C4—81no—
1589C2×C4—81no—
1590C2×C4—431no—
1591C2×C4—431no—
1592C2×C4—431no—
1593C2×C4—431no—
1594C2×C4—431no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—861no—
1598C2×C4—861no—
1599C2×C4—861no—
1600C2×C4—861no—
1601C2×C4—861no—
1602C2×C4—861no—
1603C2×C4—861no—
1604C2×C4—861no—
1605C2×C4—861no—
1606C2×C4—861no—
1607C2×C4—861no—
1608C2×C4—3441no—
1609C2×C4—3441no—
1610C2×C4—3441no—
1611C2×C4—3441no—
1612C2×C4—3441no—
1613C2×C4—3441no—
1614C2×C4—3441no—
1615C2×C4—1721no—
1616C2×C4—1721no—
1617C2×C4—1722no—
1618C2×C4—1722no—
1619C2×C4—1722no—
1620C2×C4—1722no—
1621C2×C4—1722no—
1622C2×C4C2×D4×D4311yescharacteristic
1623C2×C4C2×D4×D4311yescharacteristic
1624C2×C4C2×D4×D4311yescharacteristic
1625C2×C4C2×D4×D4311yescharacteristic
1626C2×C4C2×D4×D4311yescharacteristic
1627C2×C4C2×D4×D4311yescharacteristic
1628C2×C4C24×D4311yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—432no—
1634C8—861no—
1635C8—861no—
1636C8—861no—
1637C22—22no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—861no—
1647C22—861no—
1648C22—861no—
1649C22—861no—
1650C22—861no—
1651C22—861no—
1652C22—861no—
1653C22—861no—
1654C22—861no—
1655C22—1721no—
1656C22—1721no—
1657C22—1721no—
1658C22—6882no—
1659C22C22×D4×D4311yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—861no—
1672C4—861no—
1673C4—861no—
1674C4—861no—
1675C4—862no—
1676C4—861no—
1677C4—1721no—
1678C4—1721no—
1679C4—1721no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4C2×#41×D4311yescharacteristic
1684C4#1458373611yescharacteristic
1685C2—42no—
1686C2—81no—
1687C2—81no—
1688C2—3441no—
1689C2—1721no—
1690C2—1721no—
1691C2—1721no—
1692C2#1914808411yescharacteristic
1693C2#1914936311yescharacteristic
1694C2#1914936411yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3361C2
socleC22×C43C23×D4
hypercenter#3361D43
hypocenterC43#61500
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. #19148699C2semidirect
2. #19148666C2semidirect
3. #19147655C2semidirect
4. #19147540C2semidirect
5. #19147282C2semidirect
6. #19147162C2semidirect
7. #19147122C2semidirect
8. #19147092C2semidirect
9. #19146533C2semidirect
10. #19146525C2semidirect
11. #19146496C2semidirect
12. #19146481C2semidirect
13. #19146450C2semidirect
14. #19146435C2semidirect
15. #19146232C2semidirect
16. #19146156C2semidirect
17. #19146141C2semidirect
18. #19145285C2semidirect
19. #19145262C2semidirect
20. #19145164C2semidirect
21. #19144829C2semidirect
22. #19144814C2semidirect
23. #19144791C2semidirect
24. #19144776C2semidirect
25. #19144709C2semidirect
26. #19144701C2semidirect
27. #19143572C2semidirect
28. #19143431C2semidirect
29. #19143420C2semidirect
30. C4×#13063344C2semidirect
31. C43×#3361C2semidirect
36. #14583627C22semidirect
39. #14583614C22semidirect
53. #14583557C22semidirect
61. #14583503C22semidirect
69. #14583428C22semidirect
74. #14583375C22semidirect
77. C4×#10621900C22semidirect
78. #14583309C22semidirect
79. #14583305C22semidirect
80. #14583298C22semidirect
81. #14583294C22semidirect
86. #14583250C22semidirect
87. #14583242C22semidirect
88. #14583242C22semidirect
90. #14583238C22semidirect
96. #14583221C22semidirect
97. #14583216C22semidirect
98. #14583211C22semidirect
99. #14583207C22semidirect
100. #14583207C22semidirect
101. #14583203C22semidirect
102. #14583203C22semidirect
106. #14583181C22semidirect
111. #14583144C22semidirect
113. #14583139C22semidirect
118. #14583127C22semidirect
119. #14583127C22semidirect
123. #14583118C22semidirect
126. #14583110C22semidirect
127. #14583104C22semidirect
128. #14583096C22semidirect
131. #14583062C22semidirect
133. #14583056C22semidirect
141. #14583030C22semidirect
145. #14583005C22semidirect
146. #14583004C22semidirect
147. #14583003C22semidirect
152. #14582996C22semidirect
153. #14582996C22semidirect
154. C4×Dic172C22semidirect
155. C4×Dic172C22semidirect
156. #14582993C22semidirect
157. #14582991C22semidirect
159. #14582990C22semidirect
160. #14582990C22semidirect
163. C4×#10621883C22semidirect
169. #14582969C22semidirect
172. C8×D172C22semidirect
174. #14582959C22semidirect
175. #14582955C22semidirect
177. #14582938C22semidirect
178. #14582936C22semidirect
182. #14582892C22semidirect
183. #103×D43C22semidirect
186. #14582853C22semidirect
187. C4×C8×D43C22semidirect
188. C43×#559C22semidirect
190. C43×#488C22semidirect
191. C43×#488C22semidirect
192. C43×#486C22semidirect
193. C43×#478C22semidirect
194. C43×#478C22semidirect
195. C43×#477C22semidirect
199. C8×Q8×C43C22semidirect
843. #3361D43semidirect
883. #559C2×D43semidirect
935. #488C2×D43semidirect
936. #488C2×D43semidirect
938. #486C2×D43semidirect
957. #478C2×D43semidirect
958. #478C2×D43semidirect
959. #477C2×D43semidirect
1000. C8×Q8C2×D43semidirect
1050. C43#61500semidirect

Maximal subgroups

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

subgroupindex
#191486992
#191486662
#191476552
#191475402
#191472822
#191471622
#191471222
#191470922
#191465332
#191465252
#191464962
#191464812
#191464502
#191464352
#191462322
#191461562
#191461412
#191452852
#191452622
#191451642
#191448292
#191448142
#191447912
#191447762
#191447092
#191447012
#191435722
#191434312
#191434202
C4×#130633442
C43×#33612
#6150043