Finite Group Databasebeta

← #25979848

Subgroups — #25979848

Order 11008.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148695C211yesmaximal, characteristic, complemented
2#19148631C211yesmaximal, characteristic, complemented
3#19147659C211yesmaximal, characteristic, complemented
4#19147520C211yesmaximal, characteristic, complemented
5#19147436C211yesmaximal, characteristic, complemented
6#19147388C211yesmaximal, characteristic, complemented
7#19147215C211yesmaximal, characteristic, complemented
8#19147068C211yesmaximal, characteristic, complemented
9#19147043C211yesmaximal, characteristic, complemented
10#19146928C211yesmaximal, characteristic, complemented
11#19146807C211yesmaximal, characteristic, complemented
12#19146708C211yesmaximal, characteristic, complemented
13#19146592C211yesmaximal, characteristic, complemented
14#19146567C211yesmaximal, characteristic, complemented
15#19146222C211yesmaximal, characteristic, complemented
16#19146148C211yesmaximal, characteristic, complemented
17#19146133C211yesmaximal, characteristic, complemented
18#19145281C211yesmaximal, characteristic, complemented
19#19145233C211yesmaximal, characteristic, complemented
20#19145194C211yesmaximal, characteristic, complemented
21#19144869C211yesmaximal, characteristic, complemented
22#19144862C211yesmaximal, characteristic, complemented
23#19144819C211yesmaximal, characteristic, complemented
24#19144795C211yesmaximal, characteristic, complemented
25#19144752C211yesmaximal, characteristic, complemented
26#19144728C211yesmaximal, characteristic, complemented
27#19143574C211yesmaximal, characteristic, complemented
28#19143477C211yesmaximal, characteristic, complemented
29#19143441C211yesmaximal, characteristic, complemented
30#19143399C211yesmaximal, characteristic, complemented
31C43×#3319C211yesmaximal, characteristic, complemented
32C2×#13063355C2211yescharacteristic
33C2×#13063351C2211yescharacteristic
34C2×#13063344C2211yescharacteristic
35#14583632C2211yescharacteristic, complemented
36#14583631—21no—
37#14583624C2211yescharacteristic, complemented
38#14583618C2211yescharacteristic
39#14583611—21no—
40#14583607C2211yescharacteristic
41#14583606C2211yescharacteristic
42#14583593C2211yescharacteristic, complemented
43#14583592—21no—
44#14583588C2211yescharacteristic
45#14583586—21no—
46#14583582—21no—
47#14583580—21no—
48#14583575—21no—
49#14583567C2211yescharacteristic
50D4×Dic86C2211yescharacteristic
51#14583558C2211yescharacteristic
52#14583555—21no—
53#14583555C2211yescharacteristic, complemented
54#14583549C2211yescharacteristic
55#14583548C2211yescharacteristic
56#14583543C2211yescharacteristic
57#14583523C2211yescharacteristic, complemented
58#14583518C2211yescharacteristic
59#14583516C2211yescharacteristic
60#14583513—21no—
61#14583502C2211yescharacteristic, complemented
62#14583499—21no—
63#14583494—21no—
64#14583493—21no—
65#14583451C2211yescharacteristic
66#14583430C2211yescharacteristic
67#14583429C2211yescharacteristic
68#14583428—21no—
69#14583427—21no—
70#14583405—21no—
71C2×#13063302—21no—
72#14583382C2211yescharacteristic
73#14583378C2211yescharacteristic
74#14583378C2211yescharacteristic, complemented
75#14583376C2211yescharacteristic, complemented
76#14583367C2211yescharacteristic
77C2×D4×Dic43C2211yescharacteristic
78#14583307C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583302C2211yescharacteristic, complemented
81#14583290C2211yescharacteristic, complemented
82#14583287C2211yescharacteristic
83#14583281C2211yescharacteristic
84#14583266C2211yescharacteristic, complemented
85#14583259C2211yescharacteristic, complemented
86#14583257C2211yescharacteristic, complemented
87#14583252C2211yescharacteristic
88#14583244C2211yescharacteristic, complemented
89#14583240C2211yescharacteristic
90#14583240C2211yescharacteristic, complemented
91#14583236C2211yescharacteristic, complemented
92#14583230C2211yescharacteristic
93#14583228C2211yescharacteristic, complemented
94#14583218C2211yescharacteristic, complemented
95#14583216C2211yescharacteristic
96#14583214C2211yescharacteristic, complemented
97#14583210C2211yescharacteristic
98#14583210C2211yescharacteristic, complemented
99#14583204C2211yescharacteristic, complemented
100#14583201C2211yescharacteristic
101#14583201C2211yescharacteristic
102#14583201C2211yescharacteristic
103#14583193C2211yescharacteristic, complemented
104#14583193C2211yescharacteristic, complemented
105#14583191C2211yescharacteristic, complemented
106#14583189C2211yescharacteristic, complemented
107#14583188C2211yescharacteristic, complemented
108#14583185C2211yescharacteristic, complemented
109#14583183C2211yescharacteristic, complemented
110#14583157C2211yescharacteristic
111#14583155C2211yescharacteristic
112#14583150C2211yescharacteristic
113#14583148C2211yescharacteristic, complemented
114#14583144C2211yescharacteristic
115#14583143C2211yescharacteristic
116#14583143C2211yescharacteristic, complemented
117#14583139C2211yescharacteristic, complemented
118#14583134C2211yescharacteristic
119#14583128C2211yescharacteristic, complemented
120#14583122C2211yescharacteristic, complemented
121#14583120C2211yescharacteristic
122#14583120C2211yescharacteristic
123#14583118C2211yescharacteristic
124#14583114C2211yescharacteristic
125#14583112C2211yescharacteristic
126#14583112C2211yescharacteristic
127#14583108C2211yescharacteristic, complemented
128#14583103C2211yescharacteristic, complemented
129#14583097C2211yescharacteristic, complemented
130#14583092C2211yescharacteristic
131#14583063C2211yescharacteristic
132#14583062C2211yescharacteristic
133#14583059C2211yescharacteristic
134#14583058C2211yescharacteristic, complemented
135#14583057C2211yescharacteristic, complemented
136#14583050C2211yescharacteristic
137#14583045C2211yescharacteristic
138#14583044C2211yescharacteristic
139#14583041C2211yescharacteristic
140#14583037C2211yescharacteristic
141#14583027C2211yescharacteristic, complemented
142#14583026C2211yescharacteristic, complemented
143#14583011C2211yescharacteristic
144#14583011C2211yescharacteristic
145#14583008C2211yescharacteristic
146#14583008C2211yescharacteristic
147#14583007C2211yescharacteristic, complemented
148#14583005C2211yescharacteristic, complemented
149#14583003C2211yescharacteristic, complemented
150#14583003C2211yescharacteristic, complemented
151#14583002C2211yescharacteristic, complemented
152#14582998C2211yescharacteristic, complemented
153#14582996C2211yescharacteristic
154#14582996C2211yescharacteristic
155#14582996C2211yescharacteristic
156#14582996C2211yescharacteristic
157#14582996C2211yescharacteristic
158#14582993C2211yescharacteristic, complemented
159#14582991C2211yescharacteristic, complemented
160#14582991C2211yescharacteristic, complemented
161#14582990C2211yescharacteristic
162#14582990C2211yescharacteristic
163#14582990C2211yescharacteristic
164#14582990C2211yescharacteristic, complemented
165SD16×Dic43C2211yescharacteristic, complemented
166C4×#10621883C2211yescharacteristic
167C4×#10621883C2211yescharacteristic, complemented
168#14582979C2211yescharacteristic
169#14582979C2211yescharacteristic
170#14582977C2211yescharacteristic
171#14582975C2211yescharacteristic
172#14582973C2211yescharacteristic
173#14582973C2211yescharacteristic, complemented
174#14582970C2211yescharacteristic, complemented
175#14582959C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582953C2211yescharacteristic
178#14582942C2211yescharacteristic
179#14582942C2211yescharacteristic, complemented
180#106×D43C2211yescharacteristic, complemented
181#14582901C2211yescharacteristic
182#14582897C2211yescharacteristic
183#14582897C2211yescharacteristic, complemented
184C2×#13063250C2211yescharacteristic, complemented
185#14582856C2211yescharacteristic, complemented
186#14582854C2211yescharacteristic, complemented
187M16×Dic43C2211yescharacteristic
188C43×#555C2211yescharacteristic
189C43×#546C2211yescharacteristic
190C43×#489C2211yescharacteristic
191C43×#485C2211yescharacteristic
192C43×#482C2211yescharacteristic
193C43×#474C2211yescharacteristic
194C43×#468C2211yescharacteristic
195C43×#466C2211yescharacteristic
196C43×#463C2211yescharacteristic
197C43×#449C2211yescharacteristic
198C43×#447C2211yescharacteristic
199C43×#442C2211yescharacteristic
200C43×#435C2211yescharacteristic
201C43×#418C2211yescharacteristic
202C43×#416C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C2×#10621900—21no—
205C2×#10621900C2311yescharacteristic
206C2×#10621900C2311yescharacteristic
207C22×Dic86—21no—
208C22×Dic86C2311yescharacteristic
209C23×Dic43—21no—
210#13063355—24no—
211#13063351—24no—
212#13063344—24no—
213C2×Dic172C2311yescharacteristic
214C2×Dic172C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621877C2311yescharacteristic
227C2×#10621877C2311yescharacteristic
228C2×#10621872C2311yescharacteristic
229C2×C8×D43C2311yescharacteristic
230#13063325C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063323—21no—
234#13063323C2311yescharacteristic
235#13063321—21no—
236#13063321C2311yescharacteristic
237#13063320—21no—
238#13063320D411yescharacteristic
239#13063319—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318D411yescharacteristic
247#13063317—21no—
248#13063316—21no—
249#13063316C2311yescharacteristic
250#13063316C2311yescharacteristic
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063315D411yescharacteristic
256#13063314—21no—
257#13063313C2311yescharacteristic
258#13063312—21no—
259#13063312C2311yescharacteristic
260#13063312C2311yescharacteristic
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311D411yescharacteristic
266#13063310—21no—
267#13063309—21no—
268#13063309—21no—
269#13063309D411yescharacteristic
270#13063308—21no—
271#13063308—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063307—21no—
276#13063307—21no—
277#13063306—21no—
278#13063306—21no—
279#13063306—21no—
280#13063306—21no—
281#13063306—21no—
282#13063306D411yescharacteristic
283#13063305—21no—
284#13063305C2311yescharacteristic
285#13063304—21no—
286#13063304C2311yescharacteristic
287#13063304C2311yescharacteristic
288#13063304C2311yescharacteristic
289#13063303—21no—
290#13063302—21no—
291#13063302—21no—
292#13063302—21no—
293#13063302—21no—
294#13063302—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302D411yescharacteristic
302#13063301—21no—
303#13063301C2311yescharacteristic
304#13063300C2311yescharacteristic
305#13063299C2311yescharacteristic
306#13063298—21no—
307#13063298—21no—
308#13063297—21no—
309#13063297—21no—
310#13063297—21no—
311#13063297—21no—
312#13063297—21no—
313#13063297—21no—
314#13063297D411yescharacteristic
315#13063296—21no—
316#13063296C2311yescharacteristic
317#13063294—21no—
318Q8×Dic43—21no—
319Q8×Dic43C2311yescharacteristic
320Q8×Dic43C2311yescharacteristic
321C4×Dic86—21no—
322C4×Dic86—21no—
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326#13063290—21no—
327#13063290C2311yescharacteristic
328#13063290C2311yescharacteristic
329#13063290C2311yescharacteristic
330#13063290C2311yescharacteristic
331#13063290C2311yescharacteristic
332#13063290C2311yescharacteristic
333C4×D172—21no—
334D4×Dic43—21no—
335D4×Dic43—21no—
336D4×Dic43—21no—
337D4×Dic43—21no—
338D4×Dic43—21no—
339D4×Dic43—21no—
340D4×Dic43—21no—
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343D4×Dic43C2311yescharacteristic
344D4×Dic43C2311yescharacteristic
345D4×Dic43C2311yescharacteristic
346D4×Dic43C2311yescharacteristic
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349C4×C22⋊D43—21no—
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43C2311yescharacteristic
353C4×C22⋊D43C2311yescharacteristic
354(C22⋊D43)⋊C4—21no—
355(C22⋊D43)⋊C4—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361#13063284—21no—
362#13063284C2311yescharacteristic
363#13063282—21no—
364#13063282—21no—
365#13063282C2311yescharacteristic
366#13063281—21no—
367#13063281—21no—
368#13063281—21no—
369#13063281—21no—
370#13063281—21no—
371#13063281—21no—
372#13063281—21no—
373C2×C4⋊Dic43—21no—
374C2×C4⋊Dic43C2311yescharacteristic
375C2×C4⋊Dic43C2311yescharacteristic
376C2×Dic43⋊C4—21no—
377C2×Dic43⋊C4—21no—
378C2×Dic43⋊C4—21no—
379C4⋊C4×D43C2311yescharacteristic
380C4⋊C4×D43C2311yescharacteristic
381C2×C22⋊Dic43—21no—
382C2×C22⋊Dic43—21no—
383C2×C4×Dic43C2311yescharacteristic
384C42×D43—21no—
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063257C2311yescharacteristic
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#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
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434C4×C43⋊C8C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C22×D4×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×M16×C43C2311yescharacteristic
444C22×C8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#124×C43—21no—
447#124×C43—21no—
448#124×C43C2311yescharacteristic
449#123×C43—21no—
450C22⋊Q8×C43C2311yescharacteristic
451#121×C43—21no—
452#121×C43—21no—
453#121×C43C2311yescharacteristic
454#121×C43C2311yescharacteristic
455#121×C43C2311yescharacteristic
456#120×C43—21no—
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459C4×D4×C43C2311yescharacteristic
460#117×C43—21no—
461#117×C43C2311yescharacteristic
462#117×C43C2311yescharacteristic
463C2×C22⋊C4×C43—21no—
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#106×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
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C24×C43—21no—
482#41×C43—22no—
483#41×C43—41no—
484C2×Q8×C43—21no—
485C2×Q8×C43C2411yescharacteristic
486C2×D4×C43—21no—
487C2×D4×C43—21no—
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
496C2×D4×C43C2411yescharacteristic
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⋊D43C2×D411yescharacteristic
510C2×C22⋊D43C2×D411yescharacteristic
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43—21no—
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43—82no—
523C22×Dic43C2×D411yescharacteristic
524C22×Dic43C2×D411yescharacteristic
525#10621900—22no—
526#10621900—22no—
527#10621900—41no—
528#10621900—41no—
529#10621900—82no—
530#10621898—22no—
531#10621898—41no—
532C2×D172—21no—
533C2×D172C2411yescharacteristic
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—21no—
538C2×C4×D43—21no—
539C2×C4×D43C2411yescharacteristic
540C2×Dic86—22no—
541C2×Dic86—21no—
542C2×Dic86—21no—
543C2×Dic86—21no—
544C2×Dic86—21no—
545C2×Dic86—41no—
546C2×Dic86—82no—
547C2×Dic86C2×D411yescharacteristic
548C2×Dic86C2411yescharacteristic
549C2×Dic86C2411yescharacteristic
550C2×Dic86C2411yescharacteristic
551SD16×C43—41no—
552D8×C43—22no—
553D8×C43—41no—
554M16×C43—41no—
555C2×C8×C43—41no—
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C2×C8×C43C2411yescharacteristic
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43C2×D411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
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—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43C2×D411yescharacteristic
578C22⋊C4×C43C2×D411yescharacteristic
579C42×C43—21no—
580C42×C43—21no—
581C42×C43C2411yescharacteristic
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⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43C2×D411yescharacteristic
597C22⋊Dic43C2×D411yescharacteristic
598C22⋊Dic43C2×D411yescharacteristic
599C22⋊Dic43C2×D411yescharacteristic
600#10621885—22no—
601#10621885—22no—
602#10621884—41no—
603#10621883—22no—
604#10621883—22no—
605#10621883—22no—
606#10621883—41no—
607#10621883#4114yescomplemented
608#10621882—22no—
609#10621882—22no—
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)⋊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⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663C4×Dic43—21no—
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—
679#10621877—22no—
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684Dic172—22no—
685Dic172—41no—
686#10621873—41no—
687#10621872—41no—
688C8×D43—22no—
689C23×C43—21no—
690C23×C43—21no—
691C23×C43—21no—
692C23×C43—42no—
693C23×C43—42no—
694C23×C43—81no—
695C23×C43C22×D411yescharacteristic
696C23×C43C22×D411yescharacteristic
697C22×D43—21no—
698C22×D43C22×D411yescharacteristic
699Q8×C43—21no—
700Q8×C43—21no—
701Q8×C43—81no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—21no—
707D4×C43—41no—
708D4×C43—42no—
709D4×C43—42no—
710D4×C43—81no—
711D4×C43—81no—
712D4×C43—81no—
713D4×C43C2×#4112yes—
714C2×C4×C43—21no—
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—42no—
724C2×C4×C43—81no—
725C2×C4×C43—81no—
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C22×D411yescharacteristic
729C2×C4×C43C22×D411yescharacteristic
730C2×C4×C43C2511yescharacteristic
731C22⋊D43—41no—
732C22⋊D43—41no—
733C22⋊D43—42no—
734C22⋊D43—42no—
735C22⋊D43—42no—
736C22⋊D43—81no—
737C22⋊D43—81no—
738C22⋊D43—81no—
739C22⋊D43—81no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—41no—
748C2×Dic43—41no—
749C2×Dic43—42no—
750C2×Dic43—42no—
751C2×Dic43—42no—
752C2×Dic43—42no—
753C2×Dic43—42no—
754C2×Dic43—81no—
755C2×Dic43—81no—
756C2×Dic43—81no—
757C2×Dic43—81no—
758C2×Dic43—81no—
759C2×Dic43—81no—
760C2×Dic43C22×D411yescharacteristic
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765C2×Dic43C22×D411yescharacteristic
766C2×Dic43C22×D411yescharacteristic
767D172—21no—
768D172—21no—
769D172—81no—
770C4×D43—21no—
771C4×D43—21no—
772C4×D43—42no—
773C4×D43—81no—
774C4×D43—81no—
775C4×D43—81no—
776C4×D43—81no—
777Dic86—21no—
778Dic86—21no—
779Dic86—21no—
780Dic86—21no—
781Dic86—21no—
782Dic86—41no—
783Dic86—42no—
784Dic86—42no—
785Dic86—81no—
786Dic86—81no—
787Dic86C2×#4112yes—
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#61508—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—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—84no—
813C22×C43C23×D411yescharacteristic
814C2×D43—21no—
815C2×D43—21no—
816C2×D43—21no—
817C2×D43—41no—
818C2×D43—41no—
819C2×D43—41no—
820C4×C43—21no—
821C4×C43—21no—
822C4×C43—21no—
823C4×C43—21no—
824C4×C43—41no—
825C4×C43—41no—
826C4×C43—41no—
827C4×C43—41no—
828C4×C43—41no—
829C4×C43C22×#4111yescharacteristic
830C4×C43#58511yescharacteristic
831Dic43—21no—
832Dic43—21no—
833Dic43—21no—
834Dic43—21no—
835Dic43—21no—
836Dic43—21no—
837Dic43—22no—
838Dic43—21no—
839Dic43—41no—
840Dic43—41no—
841Dic43—41no—
842Dic43—41no—
843Dic43—41no—
844Dic43—41no—
845#3524—431no—
846#3520—431no—
847#3401—431no—
848#3386—431no—
849#3377—431no—
850#3373—431no—
851#3357—431no—
852#3345—431no—
853#3344—431no—
854#3333—431no—
855#3323—431no—
856#3319D4311yescharacteristic, complemented
857#3316—431no—
858#3308—431no—
859#3307—431no—
860#3275—431no—
861#3269—431no—
862#3268—431no—
863#3179—431no—
864#3175—431no—
865#3172—431no—
866#3125—431no—
867#3124—431no—
868#3121—431no—
869#3119—431no—
870#3116—431no—
871#3114—431no—
872#2967—431no—
873#2952—431no—
874#2947—431no—
875C4×AGL(1,ℤ/8)—431no—
876C2×C43—41no—
877C2×C43—41no—
878C2×C43—42no—
879C2×C43—81no—
880C2×C43—81no—
881C2×C43D4×#4111yescharacteristic
882C2×C43#358511yescharacteristic
883C2×C43#358611yescharacteristic
884D43—41no—
885D43—81no—
886C2×#137—431no—
887C2×AGL(1,ℤ/8)—431no—
888C2×#135—431no—
889#559—431no—
890#559—861no—
891#557—431no—
892#556—431no—
893#555—861no—
894#555C2×D4311yescharacteristic
895#554—431no—
896#554—431no—
897#553—431no—
898#553—861no—
899#552—431no—
900#552—861no—
901#552—861no—
902#551—861no—
903#551—861no—
904#550—431no—
905D4×Q8—431no—
906#548—431no—
907#548—431no—
908#548—861no—
909#547—431no—
910#547—431no—
911#546—431no—
912#546C2×D4311yescharacteristic
913#542—431no—
914#542—431no—
915#542—431no—
916#542—861no—
917#540—431no—
918#540—861no—
919#539—861no—
920#539—861no—
921#533—431no—
922#529—431no—
923#529—431no—
924#529—861no—
925#529—861no—
926#525—861no—
927C2×C22⋊Q8—861no—
928#520—431no—
929#520—431no—
930#520—431no—
931#519—431no—
932C4×#41—431no—
933C2×C4×D4—431no—
934#501—431no—
935#501—431no—
936#500—431no—
937#497—431no—
938#496—431no—
939#495—431no—
940#491—431no—
941#489—431no—
942#489—431no—
943#489C2×D4311yescharacteristic
944#488—431no—
945#486—431no—
946#485—431no—
947#485—431no—
948#485C2×D4311yescharacteristic
949#484—431no—
950#483—431no—
951#483—431no—
952#482C2×D4311yescharacteristic
953#481—431no—
954#481—431no—
955#480—431no—
956#480—431no—
957#480—431no—
958#479—431no—
959#478—431no—
960#478—431no—
961#478—431no—
962#477—431no—
963#477—431no—
964#477—431no—
965#476—431no—
966#476—431no—
967#475—431no—
968#475—431no—
969#474C2×D4311yescharacteristic
970#470—431no—
971#470—431no—
972#469—431no—
973#468—431no—
974#468—431no—
975#468—431no—
976#468—431no—
977#468C2×D4311yescharacteristic
978#467—431no—
979#466—431no—
980#466C2×D4311yescharacteristic
981#465—431no—
982#464—431no—
983#464—431no—
984#464—431no—
985#464—431no—
986#463—431no—
987#463—431no—
988#463—431no—
989#463C2×D4311yescharacteristic
990#462—431no—
991#461—431no—
992#460—431no—
993#459—431no—
994#452—431no—
995#452—431no—
996#452—431no—
997#452—431no—
998#451—431no—
999#450—431no—
1000#449—431no—
1001#449—431no—
1002#449—431no—
1003#449C2×D4311yescharacteristic
1004#448—431no—
1005#447C2×D4311yescharacteristic
1006#446—431no—
1007#446—431no—
1008#442—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442C2×D4311yescharacteristic
1013#441—431no—
1014#441—431no—
1015#441—431no—
1016#441—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024C4×Q16—431no—
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×SD16—431no—
1028C4×SD16—431no—
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16—431no—
1034C4×D8—431no—
1035C4×D8—431no—
1036#436—431no—
1037#436—431no—
1038#435—431no—
1039#435—431no—
1040#435—431no—
1041#435C2×D4311yescharacteristic
1042#433—431no—
1043#433—431no—
1044#432—431no—
1045#428—431no—
1046#428—431no—
1047C2×#106—431no—
1048#418C2×D4311yescharacteristic
1049#417—431no—
1050#417—431no—
1051#417—431no—
1052#416C2×D4311yescharacteristic
1053C2×#103—431no—
1054#405—431no—
1055#405—431no—
1056C4×M16—431no—
1057C43#6150811yescharacteristic, complemented, Sylow
1058C2×#41—431no—
1059C2×#41—431no—
1060C2×#41—431no—
1061C2×#41—861no—
1062C2×#41C22×D4311yescharacteristic
1063C22×Q8—431no—
1064C22×Q8—861no—
1065C22×D4C22×D4311yescharacteristic
1066C23×C4—861no—
1067#137—864no—
1068AGL(1,ℤ/8)—864no—
1069#135—864no—
1070C2×Q16—431no—
1071C2×Q16—431no—
1072C2×Q16—431no—
1073C2×Q16—431no—
1074C2×SD16—431no—
1075C2×SD16—431no—
1076C2×SD16—431no—
1077C2×SD16—431no—
1078C2×SD16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16C22×D4311yescharacteristic
1082C2×D8—431no—
1083C2×D8—431no—
1084C2×D8C22×D4311yescharacteristic
1085C2×D8C22×D4311yescharacteristic
1086C2×M16—431no—
1087C2×M16—431no—
1088C2×M16—431no—
1089C2×M16C22×D4311yescharacteristic
1090C22×C8—431no—
1091C22×C8C22×D4311yescharacteristic
1092C4⋊Q8—431no—
1093C4⋊Q8—431no—
1094C4⋊Q8—431no—
1095C4⋊Q8—431no—
1096C4⋊Q8—861no—
1097C4⋊Q8C22×D4311yescharacteristic
1098#127—431no—
1099#127—861no—
1100#126—431no—
1101#126—431no—
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#125—431no—
1111#125—431no—
1112#125—431no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#124—21no—
1120#124—21no—
1121#124—431no—
1122#124—431no—
1123#124—431no—
1124#124—431no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#124—861no—
1130#124—861no—
1131#124C22×D4311yescharacteristic
1132#123—21no—
1133#123—431no—
1134#123—431no—
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—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
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—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
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⋊Q8C22×D4311yescharacteristic
1172#121—21no—
1173#121—21no—
1174#121—431no—
1175#121—431no—
1176#121—431no—
1177#121—431no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121—861no—
1182#121—861no—
1183#121—861no—
1184#121—861no—
1185#121—861no—
1186#121—861no—
1187#121C22×D4311yescharacteristic
1188#121C22×D4311yescharacteristic
1189#121C22×D4311yescharacteristic
1190#120—21no—
1191#120—861no—
1192C4×Q8—431no—
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—431no—
1202C4×Q8—431no—
1203C4×Q8—861no—
1204C4×Q8—861no—
1205C4×Q8—861no—
1206C4×Q8—861no—
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—861no—
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×D4—861no—
1234C4×D4—861no—
1235C4×D4C22×D4311yescharacteristic
1236C4×D4C22×D4311yescharacteristic
1237C4×D4C22×D4311yescharacteristic
1238#117—21no—
1239#117—431no—
1240#117—431no—
1241#117—861no—
1242#117—861no—
1243#117—861no—
1244#117—861no—
1245#117—861no—
1246#117—861no—
1247#117—861no—
1248#117—861no—
1249#117—861no—
1250#117—861no—
1251#117C22×D4311yescharacteristic
1252#117C22×D4311yescharacteristic
1253C2×C4⋊C4—431no—
1254C2×C4⋊C4—431no—
1255C2×C4⋊C4—431no—
1256C2×C4⋊C4—431no—
1257C2×C4⋊C4—861no—
1258C2×C4⋊C4—861no—
1259C2×C4⋊C4—861no—
1260C2×C4⋊C4—861no—
1261C2×C22⋊C4—21no—
1262C2×C22⋊C4—861no—
1263C2×C22⋊C4—861no—
1264C2×C42—431no—
1265C2×C42—861no—
1266#107—431no—
1267#107—431no—
1268#107—431no—
1269#107—431no—
1270#107—431no—
1271#107—431no—
1272#107C22×D4311yescharacteristic
1273#107C22×D4311yescharacteristic
1274#106—431no—
1275#106—431no—
1276#106—431no—
1277#106—431no—
1278#106—431no—
1279#106—431no—
1280#106—431no—
1281#106C22×D4311yescharacteristic
1282C4⋊C8—431no—
1283C4⋊C8—431no—
1284C4⋊C8—431no—
1285C4⋊C8—431no—
1286C4⋊C8—431no—
1287C4⋊C8C22×D4311yescharacteristic
1288#103—431no—
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#102—431no—
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#102C22×D4311yescharacteristic
1314#102C22×D4311yescharacteristic
1315#102C22×D4311yescharacteristic
1316#102C22×D4311yescharacteristic
1317#102C22×D4311yescharacteristic
1318#102C22×D4311yescharacteristic
1319#102C22×D4311yescharacteristic
1320C22⋊C8—431no—
1321C22⋊C8—431no—
1322C22⋊C8—431no—
1323C22⋊C8—431no—
1324C22⋊C8C22×D4311yescharacteristic
1325C22⋊C8C22×D4311yescharacteristic
1326#97—431no—
1327#97—431no—
1328#97—431no—
1329#97—431no—
1330#97—431no—
1331#97C22×D4311yescharacteristic
1332C4×C8—431no—
1333C4×C8—431no—
1334C4×C8—431no—
1335C4×C8—431no—
1336C24—21no—
1337#41—22no—
1338#41—41no—
1339#41—862no—
1340#41—862no—
1341#41—862no—
1342#41—3442no—
1343#41—1721no—
1344#41—1721no—
1345#41—1721no—
1346C2×Q8—21no—
1347C2×Q8—431no—
1348C2×Q8—431no—
1349C2×Q8—431no—
1350C2×Q8—431no—
1351C2×Q8—861no—
1352C2×Q8—861no—
1353C2×Q8—862no—
1354C2×Q8—861no—
1355C2×Q8—861no—
1356C2×Q8—3442no—
1357C2×Q8—1721no—
1358C2×Q8C23×D4311yescharacteristic
1359C2×D4—22no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—41no—
1366C2×D4—431no—
1367C2×D4—431no—
1368C2×D4—431no—
1369C2×D4—861no—
1370C2×D4—861no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—861no—
1375C2×D4—861no—
1376C2×D4—861no—
1377C2×D4D4×D4311yescharacteristic
1378C2×D4C23×D4311yescharacteristic
1379C2×D4C23×D4311yescharacteristic
1380C2×D4C23×D4311yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—431no—
1385C22×C4—431no—
1386C22×C4—431no—
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—861no—
1403C22×C4—3442no—
1404C22×C4C23×D4311yescharacteristic
1405C22×C4C23×D4311yescharacteristic
1406Q16—862no—
1407Q16—862no—
1408Q16—862no—
1409Q16—1721no—
1410SD16—41no—
1411SD16—434no—
1412SD16—862no—
1413SD16—862no—
1414SD16—862no—
1415SD16—1721no—
1416SD16—1721no—
1417SD16—1721no—
1418D8—22no—
1419D8—41no—
1420D8—862no—
1421D8—862no—
1422M16—41no—
1423M16—862no—
1424M16—862no—
1425M16—1721no—
1426C2×C8—41no—
1427C2×C8—431no—
1428C2×C8—431no—
1429C2×C8—431no—
1430C2×C8—431no—
1431C2×C8—862no—
1432C2×C8C23×D4311yescharacteristic
1433C2×C8C23×D4311yescharacteristic
1434C2×C8C23×D4311yescharacteristic
1435C2×C8C23×D4311yescharacteristic
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—431no—
1439C4⋊C4—431no—
1440C4⋊C4—431no—
1441C4⋊C4—431no—
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—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⋊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⋊C4D4×D4311yescharacteristic
1480C4⋊C4C23×D4311yescharacteristic
1481C4⋊C4C23×D4311yescharacteristic
1482C4⋊C4C23×D4311yescharacteristic
1483C4⋊C4C23×D4311yescharacteristic
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—431no—
1495C22⋊C4—431no—
1496C22⋊C4—431no—
1497C22⋊C4—431no—
1498C22⋊C4—431no—
1499C22⋊C4—431no—
1500C22⋊C4—431no—
1501C22⋊C4—431no—
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—
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⋊C4D4×D4311yescharacteristic
1525C22⋊C4D4×D4311yescharacteristic
1526C42—21no—
1527C42—21no—
1528C42—431no—
1529C42—431no—
1530C42—431no—
1531C42—431no—
1532C42—431no—
1533C42—861no—
1534C42—861no—
1535C42—861no—
1536C42—861no—
1537C42—861no—
1538C42—861no—
1539C42—861no—
1540C42—861no—
1541C42—861no—
1542C42—861no—
1543C42C23×D4311yescharacteristic
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—42no—
1548C23—42no—
1549C23—81no—
1550C23—431no—
1551C23—861no—
1552C23C2×D4×D4311yescharacteristic
1553C23C2×D4×D4311yescharacteristic
1554Q8—21no—
1555Q8—21no—
1556Q8—81no—
1557Q8—432no—
1558Q8—861no—
1559Q8—861no—
1560Q8—861no—
1561Q8—861no—
1562Q8—861no—
1563Q8—3441no—
1564Q8—3441no—
1565Q8—1721no—
1566Q8—1722no—
1567Q8—1722no—
1568D4—21no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—41no—
1574D4—42no—
1575D4—42no—
1576D4—81no—
1577D4—81no—
1578D4—81no—
1579D4—861no—
1580D4—861no—
1581D4—3441no—
1582D4—3441no—
1583D4—3441no—
1584D4—3441no—
1585D4—3441no—
1586D4—1721no—
1587D4—1721no—
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—42no—
1602C2×C4—81no—
1603C2×C4—81no—
1604C2×C4—431no—
1605C2×C4—431no—
1606C2×C4—431no—
1607C2×C4—431no—
1608C2×C4—431no—
1609C2×C4—431no—
1610C2×C4—431no—
1611C2×C4—861no—
1612C2×C4—861no—
1613C2×C4—861no—
1614C2×C4—861no—
1615C2×C4—861no—
1616C2×C4—861no—
1617C2×C4—861no—
1618C2×C4—861no—
1619C2×C4—861no—
1620C2×C4—3441no—
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—1722no—
1631C2×C4—1721no—
1632C2×C4—1721no—
1633C2×C4—1722no—
1634C2×C4—1722no—
1635C2×C4—1722no—
1636C2×C4—1722no—
1637C2×C4—1722no—
1638C2×C4C2×D4×D4311yescharacteristic
1639C2×C4C2×D4×D4311yescharacteristic
1640C2×C4C2×D4×D4311yescharacteristic
1641C2×C4C2×D4×D4311yescharacteristic
1642C2×C4C24×D4311yescharacteristic
1643C8—21no—
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—432no—
1648C8—861no—
1649C8—861no—
1650C8—861no—
1651C22—21no—
1652C22—21no—
1653C22—22no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—84no—
1667C22—861no—
1668C22—861no—
1669C22—861no—
1670C22—1721no—
1671C22—1721no—
1672C22—1721no—
1673C22C22×D4×D4311yescharacteristic
1674C4—21no—
1675C4—21no—
1676C4—21no—
1677C4—21no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—861no—
1684C4—862no—
1685C4—861no—
1686C4—861no—
1687C4—861no—
1688C4—861no—
1689C4—861no—
1690C4—861no—
1691C4—1721no—
1692C4—1721no—
1693C4—1721no—
1694C4—1721no—
1695C4—1721no—
1696C4—1721no—
1697C4C2×#41×D4311yescharacteristic
1698C4#1458373411yescharacteristic
1699C2—41no—
1700C2—41no—
1701C2—42no—
1702C2—81no—
1703C2—81no—
1704C2—3441no—
1705C2—1721no—
1706C2#1914807911yescharacteristic
1707C2#1914937011yescharacteristic
1708C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3319C2
socleC22×C43C23×D4
hypercenter#3319D43
hypocenterC43#61508
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. #19148695C2semidirect
2. #19148631C2semidirect
3. #19147659C2semidirect
4. #19147520C2semidirect
5. #19147436C2semidirect
6. #19147388C2semidirect
7. #19147215C2semidirect
8. #19147068C2semidirect
9. #19147043C2semidirect
10. #19146928C2semidirect
11. #19146807C2semidirect
12. #19146708C2semidirect
13. #19146592C2semidirect
14. #19146567C2semidirect
15. #19146222C2semidirect
16. #19146148C2semidirect
17. #19146133C2semidirect
18. #19145281C2semidirect
19. #19145233C2semidirect
20. #19145194C2semidirect
21. #19144869C2semidirect
22. #19144862C2semidirect
23. #19144819C2semidirect
24. #19144795C2semidirect
25. #19144752C2semidirect
26. #19144728C2semidirect
27. #19143574C2semidirect
28. #19143477C2semidirect
29. #19143441C2semidirect
30. #19143399C2semidirect
31. C43×#3319C2semidirect
35. #14583632C22semidirect
37. #14583624C22semidirect
42. #14583593C22semidirect
53. #14583555C22semidirect
57. #14583523C22semidirect
61. #14583502C22semidirect
74. #14583378C22semidirect
75. #14583376C22semidirect
78. #14583307C22semidirect
79. #14583307C22semidirect
80. #14583302C22semidirect
81. #14583290C22semidirect
84. #14583266C22semidirect
85. #14583259C22semidirect
86. #14583257C22semidirect
88. #14583244C22semidirect
90. #14583240C22semidirect
91. #14583236C22semidirect
93. #14583228C22semidirect
94. #14583218C22semidirect
96. #14583214C22semidirect
98. #14583210C22semidirect
99. #14583204C22semidirect
103. #14583193C22semidirect
104. #14583193C22semidirect
105. #14583191C22semidirect
106. #14583189C22semidirect
107. #14583188C22semidirect
108. #14583185C22semidirect
109. #14583183C22semidirect
113. #14583148C22semidirect
116. #14583143C22semidirect
117. #14583139C22semidirect
119. #14583128C22semidirect
120. #14583122C22semidirect
127. #14583108C22semidirect
128. #14583103C22semidirect
129. #14583097C22semidirect
134. #14583058C22semidirect
135. #14583057C22semidirect
141. #14583027C22semidirect
142. #14583026C22semidirect
147. #14583007C22semidirect
148. #14583005C22semidirect
149. #14583003C22semidirect
150. #14583003C22semidirect
151. #14583002C22semidirect
152. #14582998C22semidirect
158. #14582993C22semidirect
159. #14582991C22semidirect
160. #14582991C22semidirect
164. #14582990C22semidirect
165. SD16×Dic43C22semidirect
167. C4×#10621883C22semidirect
173. #14582973C22semidirect
174. #14582970C22semidirect
175. #14582959C22semidirect
176. #14582957C22semidirect
179. #14582942C22semidirect
180. #106×D43C22semidirect
183. #14582897C22semidirect
184. C2×#13063250C22semidirect
185. #14582856C22semidirect
186. #14582854C22semidirect
607. #10621883#41semidirect
856. #3319D43semidirect
1057. C43#61508semidirect

Maximal subgroups

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

subgroupindex
#191486952
#191486312
#191476592
#191475202
#191474362
#191473882
#191472152
#191470682
#191470432
#191469282
#191468072
#191467082
#191465922
#191465672
#191462222
#191461482
#191461332
#191452812
#191452332
#191451942
#191448692
#191448622
#191448192
#191447952
#191447522
#191447282
#191435742
#191434772
#191434412
#191433992
C43×#33192
#6150843