Finite Group Databasebeta

← #25979627

Subgroups — #25979627

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#19148694C211yesmaximal, characteristic, complemented
2#19148657C211yesmaximal, characteristic, complemented
3#19147667C211yesmaximal, characteristic, complemented
4#19147546C211yesmaximal, characteristic, complemented
5#19147277C211yesmaximal, characteristic, complemented
6#19147252C211yesmaximal, characteristic, complemented
7#19147154C211yesmaximal, characteristic, complemented
8#19147131C211yesmaximal, characteristic, complemented
9#19147101C211yesmaximal, characteristic, complemented
10#19146529C211yesmaximal, characteristic, complemented
11#19146518C211yesmaximal, characteristic, complemented
12#19146492C211yesmaximal, characteristic, complemented
13#19146481C211yesmaximal, characteristic, complemented
14#19146444C211yesmaximal, characteristic, complemented
15#19146425C211yesmaximal, characteristic, complemented
16#19146225C211yesmaximal, characteristic, complemented
17#19146147C211yesmaximal, characteristic, complemented
18#19146132C211yesmaximal, characteristic, complemented
19#19145282C211yesmaximal, characteristic, complemented
20#19145267C211yesmaximal, characteristic, complemented
21#19144820C211yesmaximal, characteristic, complemented
22#19144805C211yesmaximal, characteristic, complemented
23#19144800C211yesmaximal, characteristic, complemented
24#19144785C211yesmaximal, characteristic, complemented
25#19144698C211yesmaximal, characteristic, complemented
26#19144698C211yesmaximal, characteristic, complemented
27#19143570C211yesmaximal, characteristic, complemented
28#19143433C211yesmaximal, characteristic, complemented
29#19143420C211yesmaximal, characteristic, complemented
30C4×#13063347C211yesmaximal, characteristic, complemented
31C43×#3168C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063347C2211yescharacteristic
35#14583632—21no—
36#14583631C2211yescharacteristic, complemented
37#14583626C2211yescharacteristic, complemented
38#14583620C2211yescharacteristic
39#14583618C2211yescharacteristic
40#14583613C2211yescharacteristic, complemented
41#14583612—21no—
42#14583605C2211yescharacteristic
43#14583602C2211yescharacteristic
44#14583599—21no—
45#14583598—21no—
46#14583596C2211yescharacteristic
47#14583588—21no—
48#14583587C2211yescharacteristic
49#14583583C2211yescharacteristic
50#14583582—21no—
51#14583578—21no—
52#14583573—21no—
53#14583567C2211yescharacteristic
54#14583559C2211yescharacteristic, complemented
55#14583557C2211yescharacteristic
56#14583551C2211yescharacteristic
57#14583546C2211yescharacteristic
58#14583542C2211yescharacteristic
59#14583521C2211yescharacteristic
60#14583517—21no—
61#14583514C2211yescharacteristic
62#14583507C2211yescharacteristic
63#14583501—21no—
64#14583500C2211yescharacteristic, complemented
65#14583492—21no—
66#14583485—21no—
67#14583433C2211yescharacteristic
68#14583432—21no—
69#14583432—21no—
70#14583432—21no—
71#126×D43—21no—
72#14583381C2211yescharacteristic
73#14583378C2211yescharacteristic
74#14583375C2211yescharacteristic, complemented
75#14583371C2211yescharacteristic
76C4×#10621898C2211yescharacteristic
77C4×#10621898C2211yescharacteristic, complemented
78#14583307C2211yescharacteristic, complemented
79#14583307C2211yescharacteristic, complemented
80#14583292C2211yescharacteristic, complemented
81#14583287C2211yescharacteristic
82#14583255C2211yescharacteristic, complemented
83#14583252C2211yescharacteristic
84#14583248C2211yescharacteristic, complemented
85#14583244C2211yescharacteristic, complemented
86#14583243C2211yescharacteristic, complemented
87#14583239C2211yescharacteristic
88#14583237C2211yescharacteristic, complemented
89#14583237C2211yescharacteristic, complemented
90#14583233C2211yescharacteristic
91#14583231C2211yescharacteristic
92#14583225C2211yescharacteristic
93#14583221C2211yescharacteristic
94#14583220C2211yescharacteristic
95#14583220C2211yescharacteristic, complemented
96#14583219C2211yescharacteristic, complemented
97#14583211C2211yescharacteristic, complemented
98#14583209C2211yescharacteristic, complemented
99#14583208C2211yescharacteristic, complemented
100#14583203C2211yescharacteristic, complemented
101#14583203C2211yescharacteristic, complemented
102#14583198C2211yescharacteristic
103#14583197C2211yescharacteristic, complemented
104#14583196C2211yescharacteristic
105#14583196C2211yescharacteristic, complemented
106#14583192C2211yescharacteristic, complemented
107#14583188C2211yescharacteristic
108#14583183C2211yescharacteristic, complemented
109#14583177C2211yescharacteristic
110#14583154C2211yescharacteristic
111#14583149C2211yescharacteristic
112#14583146C2211yescharacteristic
113#14583146C2211yescharacteristic, complemented
114#14583139C2211yescharacteristic
115#14583134C2211yescharacteristic
116#14583131C2211yescharacteristic
117#14583127C2211yescharacteristic, complemented
118#14583120C2211yescharacteristic
119#14583119C2211yescharacteristic
120#14583118C2211yescharacteristic
121#14583118C2211yescharacteristic, complemented
122#14583117C2211yescharacteristic
123#14583116C2211yescharacteristic
124#14583111C2211yescharacteristic
125#14583111C2211yescharacteristic
126#14583108C2211yescharacteristic, complemented
127#14583102C2211yescharacteristic, complemented
128#14583097C2211yescharacteristic, complemented
129#14583093C2211yescharacteristic
130#14583062C2211yescharacteristic
131#14583059C2211yescharacteristic
132#14583059C2211yescharacteristic, complemented
133#14583058C2211yescharacteristic
134#14583056C2211yescharacteristic, complemented
135#14583048C2211yescharacteristic
136#14583047C2211yescharacteristic
137#14583043C2211yescharacteristic
138#14583042C2211yescharacteristic
139#14583042C2211yescharacteristic
140#14583036C2211yescharacteristic
141#14583034C2211yescharacteristic
142#14583029C2211yescharacteristic, complemented
143C8×Dic86C2211yescharacteristic, complemented
144#14583011C2211yescharacteristic
145#14583009C2211yescharacteristic
146#14583009C2211yescharacteristic
147#14583006C2211yescharacteristic, complemented
148#14583004C2211yescharacteristic, complemented
149#14583004C2211yescharacteristic, complemented
150#14582999C2211yescharacteristic
151#14582999C2211yescharacteristic, complemented
152#14582998C2211yescharacteristic
153#14582998C2211yescharacteristic
154#14582997C2211yescharacteristic
155#14582997C2211yescharacteristic, complemented
156C4×Dic172C2211yescharacteristic, complemented
157C4×Dic172C2211yescharacteristic, complemented
158#14582991C2211yescharacteristic, complemented
159#14582990C2211yescharacteristic
160C4×#10621873C2211yescharacteristic
161C4×#10621873C2211yescharacteristic
162C4×#10621873C2211yescharacteristic, complemented
163C4×#10621873C2211yescharacteristic, complemented
164#14582984C2211yescharacteristic
165C4×D344C2211yescharacteristic
166C4×D344C2211yescharacteristic
167#14582979C2211yescharacteristic
168#14582978C2211yescharacteristic
169#14582970C2211yescharacteristic
170#14582970C2211yescharacteristic, complemented
171C8×D172C2211yescharacteristic
172C8×C22⋊D43C2211yescharacteristic
173C8×C22⋊D43C2211yescharacteristic, complemented
174#14582958C2211yescharacteristic
175#14582958C2211yescharacteristic, complemented
176#14582956C2211yescharacteristic, complemented
177#14582940C2211yescharacteristic
178#14582940C2211yescharacteristic, complemented
179#14582937C2211yescharacteristic, complemented
180#14582896C2211yescharacteristic
181#14582896C2211yescharacteristic, complemented
182#14582894C2211yescharacteristic
183#14582892C2211yescharacteristic
184#103×D43C2211yescharacteristic, complemented
185#102×D43C2211yescharacteristic
186#14582853C2211yescharacteristic
187#14582853C2211yescharacteristic, complemented
188C43×#529C2211yescharacteristic
189C43×#529C2211yescharacteristic, complemented
190C43×#499C2211yescharacteristic, complemented
191C43×#495C2211yescharacteristic
192C43×#488C2211yescharacteristic
193C43×#488C2211yescharacteristic, complemented
194C43×#467C2211yescharacteristic, complemented
195C43×#466C2211yescharacteristic
196C43×#465C2211yescharacteristic
197C43×#465C2211yescharacteristic, complemented
198C4×Q16×C43C2211yescharacteristic, complemented
199C4×SD16×C43C2211yescharacteristic
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic
202C2×C4×C8×C43C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621898C2311yescharacteristic
206C2×#10621900C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209#13063357—24no—
210#13063349—24no—
211#13063347—24no—
212C2×Dic172C2311yescharacteristic
213C2×#10621885C2311yescharacteristic
214C2×#10621885C2311yescharacteristic
215C2×#10621873C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621884C2311yescharacteristic
220C2×#10621884C2311yescharacteristic
221C2×D344C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223C2×#10621882C2311yescharacteristic
224C2×#10621872C2311yescharacteristic
225C2×#10621872C2311yescharacteristic
226C2×C8×D43C2311yescharacteristic
227C2×C8×D43C2311yescharacteristic
228#13063324—21no—
229#13063324C2311yescharacteristic
230#13063324C2311yescharacteristic
231#13063323C2311yescharacteristic
232#13063321—21no—
233#13063321C2311yescharacteristic
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063319—21no—
239#13063319—21no—
240#13063319D411yescharacteristic
241#13063319D411yescharacteristic
242#13063318—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063317—21no—
249#13063317D411yescharacteristic
250#13063316—21no—
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063314C2311yescharacteristic
258#13063313—21no—
259#13063313D411yescharacteristic
260#13063312—21no—
261#13063312C2311yescharacteristic
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311—21no—
266#13063311—21no—
267#13063311—21no—
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063309—21no—
273#13063308—21no—
274#13063308—21no—
275#13063308D411yescharacteristic
276#13063308D411yescharacteristic
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063306—21no—
284#13063305—21no—
285#13063305C2311yescharacteristic
286#13063305C2311yescharacteristic
287#13063304—21no—
288#13063304D411yescharacteristic
289#13063303—21no—
290#13063303—21no—
291#13063303—21no—
292#13063303—21no—
293#13063302—21no—
294#13063302—21no—
295#13063301C2311yescharacteristic
296#13063301C2311yescharacteristic
297#13063300—21no—
298#13063300C2311yescharacteristic
299#13063300C2311yescharacteristic
300#13063299—21no—
301#13063299D411yescharacteristic
302#13063298—21no—
303#13063298—21no—
304#13063298—21no—
305#13063298—21no—
306#13063298—21no—
307#13063298—21no—
308#13063297—21no—
309#13063297—21no—
310#13063296—21no—
311#13063296—21no—
312#13063296C2311yescharacteristic
313#13063296C2311yescharacteristic
314#13063295—21no—
315#13063293—21no—
316Q8×Dic43C2311yescharacteristic
317Q8×Dic43C2311yescharacteristic
318C4×Dic86—21no—
319C4×Dic86C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324#13063290—21no—
325#13063290—21no—
326#13063290—21no—
327#13063290C2311yescharacteristic
328#13063290C2311yescharacteristic
329C4×D172—21no—
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333C4×D172C2311yescharacteristic
334C4×D172C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337#13063287—21no—
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—
348C4×C22⋊D43C2311yescharacteristic
349C4×C22⋊D43C2311yescharacteristic
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#13063284C2311yescharacteristic
357#13063284C2311yescharacteristic
358#13063283—21no—
359#13063283—21no—
360#13063283—21no—
361#13063283C2311yescharacteristic
362#13063283C2311yescharacteristic
363#13063282—21no—
364#13063282—21no—
365#13063282—21no—
366#13063282—21no—
367#13063282C2311yescharacteristic
368#13063282C2311yescharacteristic
369#13063281—21no—
370#13063281—21no—
371#13063281—21no—
372C2×Dic43⋊C4—21no—
373C4⋊C4×D43—21no—
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C2×(C2×D43)⋊C4—21no—
379C22⋊C4×D43—21no—
380C22⋊C4×D43—21no—
381C22⋊C4×D43—21no—
382C42×D43—21no—
383C42×D43—21no—
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063257C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063256C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396C4⋊(C43⋊C8)C2311yescharacteristic
397C4⋊(C43⋊C8)C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063248C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063245C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
425#13063245C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427C22⋊(C43⋊C8)C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429(C2×D43)⋊C8C2311yescharacteristic
430(C2×D43)⋊C8C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432#13063236C2311yescharacteristic
433#13063236C2311yescharacteristic
434#13063235C2311yescharacteristic
435#13063235C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×D8×C43C2311yescharacteristic
442C22×C8×C43C2311yescharacteristic
443C22×C8×C43C2311yescharacteristic
444#126×C43—21no—
445#126×C43—21no—
446#125×C43C2311yescharacteristic
447#125×C43C2311yescharacteristic
448#124×C43C2311yescharacteristic
449#124×C43C2311yescharacteristic
450#123×C43—21no—
451#123×C43—21no—
452C22⋊Q8×C43C2311yescharacteristic
453C22⋊Q8×C43C2311yescharacteristic
454#121×C43C2311yescharacteristic
455#121×C43C2311yescharacteristic
456C4×Q8×C43C2311yescharacteristic
457C4×Q8×C43C2311yescharacteristic
458C4×D4×C43—21no—
459C4×D4×C43—21no—
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462#117×C43—21no—
463#117×C43—21no—
464C2×C42×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C4×C8×C43C2311yescharacteristic
479C4×C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481C23×D43—21no—
482C2×Q8×C43C2411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43C2411yescharacteristic
487C2×D4×C43C2411yescharacteristic
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43C2×D411yescharacteristic
491C22×C4×C43C2×D411yescharacteristic
492C22×C4×C43C2411yescharacteristic
493C2×C22⋊D43—21no—
494C2×C22⋊D43—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⋊D43C2×D411yescharacteristic
502C2×C22⋊D43C2×D411yescharacteristic
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506#10621902—22no—
507#10621902—41no—
508Q8×D43—22no—
509Q8×D43—41no—
510#10621900—22no—
511#10621900—41no—
512D4×D43—22no—
513D4×D43—41no—
514#10621898—22no—
515#10621898—22no—
516#10621898—41no—
517#10621898—41no—
518C2×D172—21no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172C2×D411yescharacteristic
522C2×D172C2411yescharacteristic
523C2×D172C2411yescharacteristic
524C2×C4×D43—21no—
525C2×C4×D43—21no—
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—21no—
535C2×C4×D43—21no—
536C2×C4×D43C2411yescharacteristic
537C2×C4×D43C2411yescharacteristic
538C2×Dic86—21no—
539C2×Dic86—21no—
540C2×Dic86—21no—
541C2×Dic86C2×D411yescharacteristic
542C2×Dic86C2411yescharacteristic
543C2×Dic86C2411yescharacteristic
544Q16×C43—22no—
545SD16×C43—41no—
546SD16×C43—41no—
547D8×C43—22no—
548C2×C8×C43—22no—
549C2×C8×C43—41no—
550C2×C8×C43C2411yescharacteristic
551C2×C8×C43C2411yescharacteristic
552C2×C8×C43C2411yescharacteristic
553C2×C8×C43C2411yescharacteristic
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
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—
575C22⋊C4×C43—21no—
576C42×C43—21no—
577C42×C43—21no—
578C42×C43C2×D411yescharacteristic
579C42×C43C2×D411yescharacteristic
580C42×C43C2411yescharacteristic
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⋊Dic43C2×D411yescharacteristic
591C22⋊Dic43C2×D411yescharacteristic
592#10621885—22no—
593#10621885—41no—
594#10621884—22no—
595#10621884—41no—
596#10621883—22no—
597#10621883—41no—
598#10621882—22no—
599#10621882—41no—
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)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
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
622(C2×D43)⋊C4C2×D411yescharacteristic
623(C2×D43)⋊C4C2×D411yescharacteristic
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⋊Dic43C2411yescharacteristic
633C4⋊Dic43C2411yescharacteristic
634C4⋊Dic43C2411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656Dic43⋊C4C2×D411yescharacteristic
657Dic43⋊C4C2×D411yescharacteristic
658Dic43⋊C4C2×D411yescharacteristic
659Dic43⋊C4C2×D411yescharacteristic
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×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43C2411yescharacteristic
673C4×Dic43C2411yescharacteristic
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678Dic172—22no—
679D344—22no—
680#10621873—22no—
681#10621873#4114yes—
682#10621872—22no—
683#10621872—22no—
684C8×D43—41no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43C22×D411yescharacteristic
689C22×D43—21no—
690C22×D43—21no—
691C22×D43—42no—
692C22×D43—81no—
693C22×D43—81no—
694C22×D43C22×D411yescharacteristic
695C22×D43C22×D411yescharacteristic
696Q8×C43—21no—
697Q8×C43—21no—
698Q8×C43—21no—
699Q8×C43—21no—
700D4×C43—21no—
701D4×C43—21no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—81no—
705D4×C43—81no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—41no—
715C2×C4×C43—41no—
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×C43C2511yescharacteristic
724C22⋊D43—41no—
725C22⋊D43—41no—
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—42no—
741C2×Dic43—81no—
742C2×Dic43—81no—
743C2×Dic43C22×D411yescharacteristic
744C2×Dic43C22×D411yescharacteristic
745C2×Dic43C22×D411yescharacteristic
746C2×Dic43C22×D411yescharacteristic
747C2×Dic43C22×D411yescharacteristic
748C2×Dic43C22×D411yescharacteristic
749D172—21no—
750D172—21no—
751D172—21no—
752D172—41no—
753D172—42no—
754D172—81no—
755D172—81no—
756D172C2×#4112yes—
757C4×D43—21no—
758C4×D43—21no—
759C4×D43—21no—
760C4×D43—21no—
761C4×D43—42no—
762C4×D43—42no—
763C4×D43—42no—
764C4×D43—42no—
765C4×D43—81no—
766C4×D43—81no—
767C4×D43—81no—
768C4×D43—81no—
769C4×D43—81no—
770C4×D43—81no—
771C4×D43—81no—
772C4×D43—81no—
773Dic86—21no—
774Dic86—21no—
775Dic86—21no—
776Dic86—41no—
777Dic86—42no—
778Dic86—81no—
779Dic86—81no—
780Dic86C2×#4112yes—
781C8×C43—21no—
782C8×C43—21no—
783C8×C43—21no—
784C8×C43C2×#4112yes—
785C43⋊C8—21no—
786C43⋊C8—21no—
787C43⋊C8—21no—
788C43⋊C8—21no—
789#61500—431nomaximal, Sylow
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—21no—
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—22no—
805C2×D43—21no—
806C2×D43—21no—
807C2×D43—41no—
808C2×D43—41no—
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—41no—
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—21no—
829Dic43—21no—
830Dic43—22no—
831Dic43—21no—
832Dic43—21no—
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#3361—431no—
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#3168D4311yescharacteristic, complemented
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—41no—
870C2×C43—81no—
871C2×C43—81no—
872C2×C43D4×#4111yescharacteristic
873C2×C43#358411yescharacteristic
874C2×C43#358411yescharacteristic
875D43—41no—
876D43—41no—
877D43—42no—
878D43—81no—
879C2×#137—431no—
880C2×AGL(1,ℤ/8)—431no—
881C2×#135—431no—
882#559—431no—
883#559—861no—
884#557—431no—
885#556—431no—
886#556—431no—
887#555—431no—
888#555—861no—
889#554—431no—
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—861no—
916#529—861no—
917#529—861no—
918#529C2×D4311yescharacteristic
919#529C2×D4311yescharacteristic, complemented
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#499C2×D4311yescharacteristic, complemented
930#497—431no—
931#496—431no—
932#495C2×D4311yescharacteristic
933#488—431no—
934#488—431no—
935#488C2×D4311yescharacteristic
936#488C2×D4311yescharacteristic, complemented
937#487—431no—
938#486—431no—
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#478—431no—
958#478—431no—
959#477—431no—
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#467C2×D4311yescharacteristic, complemented
969#466—431no—
970#466C2×D4311yescharacteristic
971#465—431no—
972#465—431no—
973#465C2×D4311yescharacteristic
974#465C2×D4311yescharacteristic, complemented
975#464—431no—
976#464—431no—
977#464—431no—
978#464—431no—
979#463—431no—
980#463—431no—
981#463—431no—
982#463—431no—
983#462—431no—
984#461—431no—
985#460—431no—
986#459—431no—
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×Q8—431no—
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×Q16C2×D4311yescharacteristic, complemented
1017C4×SD16—431no—
1018C4×SD16—431no—
1019C4×SD16—431no—
1020C4×SD16—431no—
1021C4×SD16—431no—
1022C4×SD16—431no—
1023C4×SD16C2×D4311yescharacteristic
1024C4×SD16C2×D4311yescharacteristic, complemented
1025C4×D8—431no—
1026C4×D8—431no—
1027C4×D8—431no—
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×C8C2×D4311yescharacteristic, complemented
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×Q16C22×D4311yescharacteristic
1064C2×SD16—431no—
1065C2×SD16—431no—
1066C2×SD16—431no—
1067C2×SD16—431no—
1068C2×SD16—431no—
1069C2×SD16—431no—
1070C2×SD16C22×D4311yescharacteristic
1071C2×SD16C22×D4311yescharacteristic
1072C2×D8—431no—
1073C2×D8—431no—
1074C2×D8—431no—
1075C2×D8C22×D4311yescharacteristic
1076C2×M16—431no—
1077C2×M16—431no—
1078C22×C8—431no—
1079C22×C8—431no—
1080C22×C8C22×D4311yescharacteristic
1081C22×C8C22×D4311yescharacteristic
1082C4⋊Q8—431no—
1083C4⋊Q8—431no—
1084C4⋊Q8—431no—
1085C4⋊Q8—861no—
1086#127—431no—
1087#127—861no—
1088#126—21no—
1089#126—21no—
1090#126—431no—
1091#126—431no—
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—431no—
1116#124—431no—
1117#124—431no—
1118#124—861no—
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—431no—
1147C22⋊Q8—431no—
1148C22⋊Q8—431no—
1149C22⋊Q8—431no—
1150C22⋊Q8—431no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8C22×D4311yescharacteristic
1160C22⋊Q8C22×D4311yescharacteristic
1161#121—431no—
1162#121—431no—
1163#121—431no—
1164#121—431no—
1165#121—431no—
1166#121—861no—
1167#121—861no—
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#121C22×D4311yescharacteristic
1179#121C22×D4311yescharacteristic
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—21no—
1199C4×D4—431no—
1200C4×D4—431no—
1201C4×D4—431no—
1202C4×D4—431no—
1203C4×D4—431no—
1204C4×D4—431no—
1205C4×D4—431no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
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×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4C22×D4311yescharacteristic
1227C4×D4C22×D4311yescharacteristic
1228#117—21no—
1229#117—21no—
1230#117—431no—
1231#117—431no—
1232#117—431no—
1233#117—431no—
1234#117—431no—
1235#117—431no—
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—431no—
1247C2×C4⋊C4—431no—
1248C2×C4⋊C4—861no—
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—861no—
1257C2×C42—861no—
1258C2×C42C22×D4311yescharacteristic
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#106C22×D4311yescharacteristic
1274#106C22×D4311yescharacteristic
1275C4⋊C8—431no—
1276C4⋊C8—431no—
1277C4⋊C8—431no—
1278C4⋊C8—431no—
1279C4⋊C8—431no—
1280C4⋊C8—431no—
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#103C22×D4311yescharacteristic
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#102—431no—
1307#102—431no—
1308#102—431no—
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×C8C22×D4311yescharacteristic
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—431no—
1339C2×Q8—431no—
1340C2×Q8—431no—
1341C2×Q8—861no—
1342C2×Q8—861no—
1343C2×Q8—861no—
1344C2×Q8—862no—
1345C2×Q8—1721no—
1346C2×Q8C23×D4311yescharacteristic
1347C2×Q8C23×D4311yescharacteristic
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—431no—
1351C2×D4—431no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—431no—
1355C2×D4—861no—
1356C2×D4—861no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—861no—
1360C2×D4—861no—
1361C2×D4—862no—
1362C2×D4—861no—
1363C2×D4—861no—
1364C2×D4—861no—
1365C2×D4—861no—
1366C2×D4—861no—
1367C2×D4—1721no—
1368C2×D4C23×D4311yescharacteristic
1369C2×D4C23×D4311yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—431no—
1373C22×C4—431no—
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—861no—
1385C22×C4—861no—
1386C22×C4—861no—
1387C22×C4—861no—
1388C22×C4—861no—
1389C22×C4D4×D4311yescharacteristic
1390C22×C4D4×D4311yescharacteristic
1391C22×C4C23×D4311yescharacteristic
1392Q16—22no—
1393Q16—862no—
1394Q16—862no—
1395Q16—1721no—
1396SD16—41no—
1397SD16—41no—
1398SD16—434no—
1399SD16—862no—
1400SD16—862no—
1401SD16—862no—
1402SD16—1721no—
1403SD16—1721no—
1404D8—22no—
1405D8—862no—
1406D8—862no—
1407D8—1721no—
1408M16—862no—
1409M16—862no—
1410C2×C8—22no—
1411C2×C8—41no—
1412C2×C8—431no—
1413C2×C8—431no—
1414C2×C8—431no—
1415C2×C8—431no—
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—21no—
1429C4⋊C4—21no—
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—431no—
1440C4⋊C4—431no—
1441C4⋊C4—431no—
1442C4⋊C4—431no—
1443C4⋊C4—431no—
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⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
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—21no—
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—431no—
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—21no—
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—
1530C42D4×D4311yescharacteristic
1531C42D4×D4311yescharacteristic
1532C42C23×D4311yescharacteristic
1533C42C23×D4311yescharacteristic
1534C23—21no—
1535C23—21no—
1536C23—431no—
1537C23—431no—
1538C23—861no—
1539C23—861no—
1540C23—3441no—
1541C23—3441no—
1542C23—1722no—
1543C23C2×D4×D4311yescharacteristic
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—432no—
1549Q8—861no—
1550Q8—861no—
1551Q8—861no—
1552Q8—3441no—
1553Q8—3441no—
1554Q8—1721no—
1555Q8—1722no—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—81no—
1561D4—81no—
1562D4—432no—
1563D4—861no—
1564D4—861no—
1565D4—861no—
1566D4—3441no—
1567D4—3441no—
1568D4—3441no—
1569D4—3441no—
1570D4—3441no—
1571D4—3441no—
1572D4—1721no—
1573D4—1722no—
1574D4—1721no—
1575D4—1721no—
1576D4—1722no—
1577D4—1722no—
1578D4—1722no—
1579D4—1722no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—41no—
1589C2×C4—41no—
1590C2×C4—81no—
1591C2×C4—81no—
1592C2×C4—431no—
1593C2×C4—431no—
1594C2×C4—431no—
1595C2×C4—431no—
1596C2×C4—431no—
1597C2×C4—431no—
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—3441no—
1616C2×C4—3441no—
1617C2×C4—3441no—
1618C2×C4—1722no—
1619C2×C4—1722no—
1620C2×C4—1722no—
1621C2×C4—1722no—
1622C2×C4—1722no—
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—861no—
1633C8—861no—
1634C8—861no—
1635C8—861no—
1636C8#41×D4312yes—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—861no—
1647C22—861no—
1648C22—862no—
1649C22—861no—
1650C22—861no—
1651C22—861no—
1652C22—861no—
1653C22—1721no—
1654C22—1721no—
1655C22—1721no—
1656C22—1721no—
1657C22—1721no—
1658C22—6882no—
1659C22C22×D4×D4311yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—861no—
1672C4—861no—
1673C4—862no—
1674C4—861no—
1675C4—861no—
1676C4—861no—
1677C4—861no—
1678C4—1721no—
1679C4—1721no—
1680C4—1721no—
1681C4—1721no—
1682C4—1721no—
1683C4C2×#41×D4311yescharacteristic
1684C4#1458373511yescharacteristic
1685C2—41no—
1686C2—81no—
1687C2—81no—
1688C2—3441no—
1689C2—1721no—
1690C2—1721no—
1691C2—1722no—
1692C2#1914808111yescharacteristic
1693C2#1914936411yescharacteristic
1694C2#1914936411yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3168C2
socleC22×C43C23×D4
hypercenter#3168D43
hypocenterC43#61500
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3168

Complements

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

NH ≅ G/Ntype
1. #19148694C2semidirect
2. #19148657C2semidirect
3. #19147667C2semidirect
4. #19147546C2semidirect
5. #19147277C2semidirect
6. #19147252C2semidirect
7. #19147154C2semidirect
8. #19147131C2semidirect
9. #19147101C2semidirect
10. #19146529C2semidirect
11. #19146518C2semidirect
12. #19146492C2semidirect
13. #19146481C2semidirect
14. #19146444C2semidirect
15. #19146425C2semidirect
16. #19146225C2semidirect
17. #19146147C2semidirect
18. #19146132C2semidirect
19. #19145282C2semidirect
20. #19145267C2semidirect
21. #19144820C2semidirect
22. #19144805C2semidirect
23. #19144800C2semidirect
24. #19144785C2semidirect
25. #19144698C2semidirect
26. #19144698C2semidirect
27. #19143570C2semidirect
28. #19143433C2semidirect
29. #19143420C2semidirect
30. C4×#13063347C2semidirect
31. C43×#3168C2semidirect
36. #14583631C22semidirect
37. #14583626C22semidirect
40. #14583613C22semidirect
54. #14583559C22semidirect
64. #14583500C22semidirect
74. #14583375C22semidirect
77. C4×#10621898C22semidirect
78. #14583307C22semidirect
79. #14583307C22semidirect
80. #14583292C22semidirect
82. #14583255C22semidirect
84. #14583248C22semidirect
85. #14583244C22semidirect
86. #14583243C22semidirect
88. #14583237C22semidirect
89. #14583237C22semidirect
95. #14583220C22semidirect
96. #14583219C22semidirect
97. #14583211C22semidirect
98. #14583209C22semidirect
99. #14583208C22semidirect
100. #14583203C22semidirect
101. #14583203C22semidirect
103. #14583197C22semidirect
105. #14583196C22semidirect
106. #14583192C22semidirect
108. #14583183C22semidirect
113. #14583146C22semidirect
117. #14583127C22semidirect
121. #14583118C22semidirect
126. #14583108C22semidirect
127. #14583102C22semidirect
128. #14583097C22semidirect
132. #14583059C22semidirect
134. #14583056C22semidirect
142. #14583029C22semidirect
143. C8×Dic86C22semidirect
147. #14583006C22semidirect
148. #14583004C22semidirect
149. #14583004C22semidirect
151. #14582999C22semidirect
155. #14582997C22semidirect
156. C4×Dic172C22semidirect
157. C4×Dic172C22semidirect
158. #14582991C22semidirect
162. C4×#10621873C22semidirect
163. C4×#10621873C22semidirect
170. #14582970C22semidirect
173. C8×C22⋊D43C22semidirect
175. #14582958C22semidirect
176. #14582956C22semidirect
178. #14582940C22semidirect
179. #14582937C22semidirect
181. #14582896C22semidirect
184. #103×D43C22semidirect
187. #14582853C22semidirect
189. C43×#529C22semidirect
190. C43×#499C22semidirect
193. C43×#488C22semidirect
194. C43×#467C22semidirect
197. C43×#465C22semidirect
198. C4×Q16×C43C22semidirect
200. C4×SD16×C43C22semidirect
202. C2×C4×C8×C43C22semidirect
858. #3168D43semidirect
919. #529C2×D43semidirect
929. #499C2×D43semidirect
936. #488C2×D43semidirect
968. #467C2×D43semidirect
974. #465C2×D43semidirect
1016. C4×Q16C2×D43semidirect
1024. C4×SD16C2×D43semidirect
1049. C2×C4×C8C2×D43semidirect
1050. C43#61500semidirect

Maximal subgroups

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

subgroupindex
#191486942
#191486572
#191476672
#191475462
#191472772
#191472522
#191471542
#191471312
#191471012
#191465292
#191465182
#191464922
#191464812
#191464442
#191464252
#191462252
#191461472
#191461322
#191452822
#191452672
#191448202
#191448052
#191448002
#191447852
#191446982
#191435702
#191434332
#191434202
C4×#130633472
C43×#31682
#6150043