Finite Group Databasebeta

← #25966747

Subgroups — #25966747

Order 11008.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19147982C211yesmaximal, characteristic, complemented
2#542×D43C211yesmaximal, characteristic, complemented
3#19145282C211yesmaximal, characteristic, complemented
4#19145281C211yesmaximal, characteristic, complemented
5#19145276C211yesmaximal, characteristic, complemented
6#19145271C211yesmaximal, characteristic, complemented
7#19145267C211yesmaximal, characteristic, complemented
8#19145266C211yesmaximal, characteristic, complemented
9#19145261C211yesmaximal, characteristic, complemented
10#19145256C211yesmaximal, characteristic, complemented
11#19145237C211yesmaximal, characteristic, complemented
12#19145233C211yesmaximal, characteristic, complemented
13#19145228C211yesmaximal, characteristic, complemented
14#19145212C211yesmaximal, characteristic, complemented
15#19145211C211yesmaximal, characteristic, complemented
16#19145209C211yesmaximal, characteristic, complemented
17#19145206C211yesmaximal, characteristic, complemented
18#19145138C211yesmaximal, characteristic, complemented
19#19145056C211yesmaximal, characteristic, complemented
20#19144987C211yesmaximal, characteristic, complemented
21#19144980C211yesmaximal, characteristic, complemented
22#19144222C211yesmaximal, characteristic, complemented
23#19144220C211yesmaximal, characteristic, complemented
24#19144211C211yesmaximal, characteristic, complemented
25#19144209C211yesmaximal, characteristic, complemented
26#19143417C211yesmaximal, characteristic, complemented
27C4×#13063357C211yesmaximal, characteristic, complemented
28#19143400C211yesmaximal, characteristic, complemented
29C4×#13063349C211yesmaximal, characteristic, complemented
30#19143011C211yesmaximal, characteristic, complemented
31C43×#3175C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063354C2211yescharacteristic
34C2×#13063352C2211yescharacteristic
35C2×#13063349C2211yescharacteristic
36C22×#10621872C2211yescharacteristic
37C2×M16×D43C2211yescharacteristic
38#14583523C2211yescharacteristic
39#14583523C2211yescharacteristic, complemented
40#14583522C2211yescharacteristic
41#14583521C2211yescharacteristic
42#14583520C2211yescharacteristic
43#14583520C2211yescharacteristic, complemented
44#14583519—21no—
45#14583518C2211yescharacteristic
46#14583518C2211yescharacteristic, complemented
47#14583517—21no—
48#14583516C2211yescharacteristic
49#14583515—21no—
50#14583514C2211yescharacteristic
51#14583513—21no—
52#14583509C2211yescharacteristic, complemented
53#14583507C2211yescharacteristic, complemented
54#14583502C2211yescharacteristic, complemented
55#14583500C2211yescharacteristic, complemented
56#14583495—21no—
57#14583490—21no—
58#14583485—21no—
59#14583483—21no—
60#14583454C2211yescharacteristic
61#14583448C2211yescharacteristic
62C4⋊Q8×D43C2211yescharacteristic
63#14583435—21no—
64#14583432—21no—
65#14583428—21no—
66#14583426—21no—
67#126×D43—21no—
68#124×D43—21no—
69#124×D43C2211yescharacteristic
70#14583412C2211yescharacteristic
71#14583409C2211yescharacteristic
72#123×D43—21no—
73C22⋊Q8×D43—21no—
74C22⋊Q8×D43C2211yescharacteristic
75#121×D43C2211yescharacteristic
76C4×#10621902C2211yescharacteristic
77C4×#10621900C2211yescharacteristic
78C4×Q8×D43C2211yescharacteristic
79C4×D4×D43C2211yescharacteristic
80#117×D43C2211yescharacteristic
81#14583307C2211yescharacteristic, complemented
82#14583307C2211yescharacteristic, complemented
83#14583307C2211yescharacteristic, complemented
84#14583307C2211yescharacteristic, complemented
85#14583302C2211yescharacteristic, complemented
86#14583297C2211yescharacteristic, complemented
87#14583295C2211yescharacteristic, complemented
88#14583292C2211yescharacteristic, complemented
89#14583290C2211yescharacteristic, complemented
90#14583287C2211yescharacteristic, complemented
91#14583285C2211yescharacteristic, complemented
92#14583283C2211yescharacteristic, complemented
93#14583281C2211yescharacteristic, complemented
94#14583281C2211yescharacteristic, complemented
95#14583261C2211yescharacteristic, complemented
96#14583261C2211yescharacteristic, complemented
97#14583259C2211yescharacteristic, complemented
98#14583259C2211yescharacteristic, complemented
99#14583258C2211yescharacteristic, complemented
100#14583258C2211yescharacteristic, complemented
101#14583255C2211yescharacteristic, complemented
102#14583255C2211yescharacteristic, complemented
103#14583252C2211yescharacteristic, complemented
104#14583252C2211yescharacteristic, complemented
105#14583248C2211yescharacteristic, complemented
106#14583248C2211yescharacteristic, complemented
107#14583244C2211yescharacteristic, complemented
108#14583244C2211yescharacteristic, complemented
109#14583157C2211yescharacteristic, complemented
110#14583156C2211yescharacteristic, complemented
111#14583155C2211yescharacteristic, complemented
112#14583154C2211yescharacteristic, complemented
113#14583152C2211yescharacteristic
114#14583151C2211yescharacteristic
115#14583150C2211yescharacteristic
116#14583149C2211yescharacteristic
117#14583148C2211yescharacteristic, complemented
118#14583147C2211yescharacteristic
119#14583146C2211yescharacteristic
120#14583146C2211yescharacteristic, complemented
121#14583144C2211yescharacteristic
122#14583143C2211yescharacteristic, complemented
123#14583141C2211yescharacteristic, complemented
124#14583139C2211yescharacteristic, complemented
125#14583138C2211yescharacteristic, complemented
126#14583136C2211yescharacteristic
127#14583134C2211yescharacteristic
128#14583133C2211yescharacteristic
129#14583131C2211yescharacteristic
130#14583130C2211yescharacteristic, complemented
131#14583128C2211yescharacteristic
132#14583128C2211yescharacteristic, complemented
133#14583127C2211yescharacteristic, complemented
134#14583126C2211yescharacteristic
135#14583125C2211yescharacteristic
136#14583125C2211yescharacteristic, complemented
137#14583012C2211yescharacteristic, complemented
138#14583011C2211yescharacteristic, complemented
139#14583009C2211yescharacteristic, complemented
140#14583008C2211yescharacteristic, complemented
141#14583007C2211yescharacteristic, complemented
142#14583006C2211yescharacteristic, complemented
143#14583004C2211yescharacteristic, complemented
144#14583003C2211yescharacteristic, complemented
145#14583002C2211yescharacteristic, complemented
146#14582999C2211yescharacteristic, complemented
147#14582998C2211yescharacteristic, complemented
148#14582998C2211yescharacteristic, complemented
149#14582997C2211yescharacteristic, complemented
150#14582996C2211yescharacteristic, complemented
151#14582993C2211yescharacteristic, complemented
152C4×#10621885C2211yescharacteristic, complemented
153#14582991C2211yescharacteristic, complemented
154#14582990C2211yescharacteristic, complemented
155C4×#10621873C2211yescharacteristic, complemented
156C4×#10621873C2211yescharacteristic, complemented
157SD16×Dic43C2211yescharacteristic, complemented
158SD16×Dic43C2211yescharacteristic, complemented
159C4×#10621884C2211yescharacteristic, complemented
160C4×#10621883C2211yescharacteristic, complemented
161#14582984C2211yescharacteristic, complemented
162#14582981C2211yescharacteristic, complemented
163C4×#10621882C2211yescharacteristic, complemented
164#14582979C2211yescharacteristic, complemented
165#14582940C2211yescharacteristic
166#14582940C2211yescharacteristic
167#14582940C2211yescharacteristic
168#14582940C2211yescharacteristic
169#14582906C2211yescharacteristic
170#14582906C2211yescharacteristic
171#14582902C2211yescharacteristic
172#14582902C2211yescharacteristic
173#14582899C2211yescharacteristic
174#14582899C2211yescharacteristic
175#14582897C2211yescharacteristic
176#14582897C2211yescharacteristic
177#14582857C2211yescharacteristic, complemented
178#14582856C2211yescharacteristic, complemented
179#14582856C2211yescharacteristic, complemented
180#14582855C2211yescharacteristic, complemented
181#14582854C2211yescharacteristic, complemented
182#14582853C2211yescharacteristic, complemented
183#14582853C2211yescharacteristic, complemented
184#14582851C2211yescharacteristic
185#14582851C2211yescharacteristic
186C4×#10621872C2211yescharacteristic
187C4×#10621872C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#542C2211yescharacteristic, complemented
190C43×#500C2211yescharacteristic, complemented
191C43×#495C2211yescharacteristic, complemented
192C43×#489C2211yescharacteristic, complemented
193C43×#489C2211yescharacteristic, complemented
194C43×#468C2211yescharacteristic
195C43×#468C2211yescharacteristic, complemented
196C43×#467C2211yescharacteristic, complemented
197C43×#466C2211yescharacteristic
198C43×#440C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C4×Q16×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic, complemented
202C43×#405C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621900C2311yescharacteristic
205C2×Q8×D43—21no—
206C2×Q8×D43C2311yescharacteristic
207C2×D4×D43—21no—
208C2×D4×D43C2311yescharacteristic
209C22×C4×D43—21no—
210C22×C4×D43C2311yescharacteristic
211#13063357—24no—
212#13063354—24no—
213#13063352—24no—
214#13063349—24no—
215C2×Dic172C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621885C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×D344C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621877C2311yescharacteristic
228C2×#10621872—24no—
229C2×#10621872C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233C2×#10621872C2311yescharacteristic
234C2×#10621872C2311yescharacteristic
235M16×D43—24no—
236C22×C43⋊C8C2311yescharacteristic
237C2×C8×D43C2311yescharacteristic
238C2×C8×D43C2311yescharacteristic
239#13063325C2311yescharacteristic
240#13063325C2311yescharacteristic
241#13063324—21no—
242#13063324C2311yescharacteristic
243#13063324C2311yescharacteristic
244#13063323—21no—
245#13063323C2311yescharacteristic
246#13063321C2311yescharacteristic
247#13063320—21no—
248#13063320—21no—
249#13063320—21no—
250#13063320—21no—
251#13063320—21no—
252#13063320—21no—
253#13063319—21no—
254#13063319—21no—
255#13063318—21no—
256#13063318—21no—
257#13063318—21no—
258#13063318—21no—
259#13063318—21no—
260#13063318—21no—
261#13063317—21no—
262#13063316—21no—
263#13063316C2311yescharacteristic
264#13063316C2311yescharacteristic
265#13063315—21no—
266#13063315—21no—
267#13063314—21no—
268#13063314—21no—
269#13063314C2311yescharacteristic
270#13063313—21no—
271#13063313C2311yescharacteristic
272#13063313C2311yescharacteristic
273#13063312—21no—
274#13063312C2311yescharacteristic
275#13063311—21no—
276#13063311—21no—
277#13063311—21no—
278#13063311—21no—
279#13063311—21no—
280#13063311—21no—
281#13063311—21no—
282#13063311—21no—
283#13063310—21no—
284#13063310—21no—
285#13063310—21no—
286#13063310—21no—
287#13063309—21no—
288#13063309—21no—
289#13063309—21no—
290#13063308—21no—
291#13063308—21no—
292#13063307—21no—
293#13063307—21no—
294#13063307—21no—
295#13063307—21no—
296#13063307—21no—
297#13063307—21no—
298#13063306—21no—
299#13063305—21no—
300#13063305—21no—
301#13063305C2311yescharacteristic
302#13063305C2311yescharacteristic
303#13063304—21no—
304#13063304C2311yescharacteristic
305#13063304C2311yescharacteristic
306#13063303—21no—
307#13063303—21no—
308#13063303—21no—
309#13063303—21no—
310#13063302—21no—
311#13063302—21no—
312#13063302—21no—
313#13063302—21no—
314#13063301—21no—
315#13063301—21no—
316#13063301—21no—
317#13063301C2311yescharacteristic
318#13063301C2311yescharacteristic
319#13063300C2311yescharacteristic
320#13063300C2311yescharacteristic
321#13063299—21no—
322#13063299C2311yescharacteristic
323#13063299C2311yescharacteristic
324#13063298—21no—
325#13063298—21no—
326#13063298—21no—
327#13063298—21no—
328#13063297—21no—
329#13063297—21no—
330#13063296—21no—
331#13063296C2311yescharacteristic
332#13063296C2311yescharacteristic
333#13063295—21no—
334#13063293—21no—
335Q8×Dic43—21no—
336Q8×Dic43C2311yescharacteristic
337Q8×Dic43C2311yescharacteristic
338C4×Dic86—21no—
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341#13063290—21no—
342#13063290—21no—
343#13063290C2311yescharacteristic
344#13063290C2311yescharacteristic
345C4×D172—21no—
346C4×D172C2311yescharacteristic
347C4×D172C2311yescharacteristic
348D4×Dic43—21no—
349D4×Dic43C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351#13063287—21no—
352#13063287—21no—
353#13063287C2311yescharacteristic
354#13063287C2311yescharacteristic
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363#13063284C2311yescharacteristic
364#13063283—21no—
365#13063283D411yescharacteristic
366#13063283D411yescharacteristic
367#13063283C2311yescharacteristic
368#13063283C2311yescharacteristic
369#13063282C2311yescharacteristic
370#13063282C2311yescharacteristic
371#13063281—21no—
372#13063281D411yescharacteristic
373#13063281D411yescharacteristic
374C4⋊C4×D43—21no—
375C4⋊C4×D43—21no—
376C4⋊C4×D43—21no—
377C4⋊C4×D43D411yescharacteristic
378C4⋊C4×D43D411yescharacteristic
379C4⋊C4×D43C2311yescharacteristic
380C4⋊C4×D43C2311yescharacteristic
381C22⋊C4×D43—21no—
382C22⋊C4×D43—21no—
383C22⋊C4×D43—21no—
384C22⋊C4×D43—21no—
385C22⋊C4×D43—21no—
386C22⋊C4×D43D411yescharacteristic
387C22⋊C4×D43D411yescharacteristic
388C2×C4×Dic43—21no—
389C42×D43—21no—
390C42×D43—21no—
391C42×D43C2311yescharacteristic
392C42×D43C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063257C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063245C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435C4×C43⋊C8C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C8×Dic43C2311yescharacteristic
439C8×Dic43C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C2×Q16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445C2×M16×C43C2311yescharacteristic
446C22×C8×C43C2311yescharacteristic
447C4⋊Q8×C43C2311yescharacteristic
448C4⋊Q8×C43C2311yescharacteristic
449#126×C43—21no—
450#126×C43—21no—
451#124×C43—21no—
452#124×C43—21no—
453#124×C43C2311yescharacteristic
454#124×C43C2311yescharacteristic
455#123×C43—21no—
456#123×C43—21no—
457C22⋊Q8×C43—21no—
458C22⋊Q8×C43—21no—
459C22⋊Q8×C43C2311yescharacteristic
460C22⋊Q8×C43C2311yescharacteristic
461#121×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463C4×Q8×C43C2311yescharacteristic
464C4×Q8×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467#117×C43C2311yescharacteristic
468#107×C43C2311yescharacteristic
469#107×C43C2311yescharacteristic
470#107×C43C2311yescharacteristic
471#107×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481#97×C43C2311yescharacteristic
482C4×C8×C43C2311yescharacteristic
483C4×C8×C43C2311yescharacteristic
484C23×D43—21no—
485C23×D43C2×D411yescharacteristic
486C2×Q8×C43—21no—
487C2×Q8×C43—21no—
488C2×Q8×C43C2411yescharacteristic
489C2×Q8×C43C2411yescharacteristic
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43C2411yescharacteristic
493C2×D4×C43C2411yescharacteristic
494C22×C4×C43—21no—
495C22×C4×C43—21no—
496C22×C4×C43C2411yescharacteristic
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—
504C2×C22⋊D43—21no—
505C22×Dic43—21no—
506C22×Dic43—21no—
507C22×Dic43—21no—
508C22×Dic43C2×D411yescharacteristic
509#10621902—22no—
510#10621902—22no—
511Q8×D43—22no—
512Q8×D43—22no—
513Q8×D43—82no—
514#10621900—22no—
515#10621900—22no—
516D4×D43—22no—
517D4×D43—22no—
518D4×D43—82no—
519C2×D172—21no—
520C2×D172—21no—
521C2×D172—21no—
522C2×D172C2411yescharacteristic
523C2×D172C2411yescharacteristic
524C2×C4×D43—22no—
525C2×C4×D43—22no—
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43—21no—
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—82no—
535C2×C4×D43C2×D411yescharacteristic
536C2×C4×D43C2×D411yescharacteristic
537C2×C4×D43C2×D411yescharacteristic
538C2×C4×D43C2×D411yescharacteristic
539C2×C4×D43C2×D411yescharacteristic
540C2×C4×D43C2×D411yescharacteristic
541C2×C4×D43C2411yescharacteristic
542C2×C4×D43C2411yescharacteristic
543C2×Dic86—21no—
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86—21no—
547C2×Dic86—21no—
548C2×Dic86C2411yescharacteristic
549C2×Dic86C2411yescharacteristic
550Q16×C43—22no—
551SD16×C43—22no—
552SD16×C43—22no—
553D8×C43—22no—
554M16×C43—22no—
555C2×C8×C43—22no—
556C2×C8×C43C2411yescharacteristic
557C2×C8×C43C2411yescharacteristic
558C2×C8×C43C2411yescharacteristic
559C2×C8×C43C2411yescharacteristic
560C4⋊C4×C43—21no—
561C4⋊C4×C43—21no—
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43C2×D411yescharacteristic
567C4⋊C4×C43C2×D411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C22⋊C4×C43—21no—
581C22⋊C4×C43—21no—
582C22⋊C4×C43C2×D411yescharacteristic
583C22⋊C4×C43C2×D411yescharacteristic
584C42×C43—21no—
585C42×C43—21no—
586C42×C43C2411yescharacteristic
587C42×C43C2411yescharacteristic
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
598#10621885—22no—
599#10621885—22no—
600#10621884—22no—
601#10621884—22no—
602#10621883—22no—
603#10621883—22no—
604#10621882—22no—
605#10621882—22no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4—21no—
608(C2×D43)⋊C4—21no—
609(C2×D43)⋊C4—21no—
610(C2×D43)⋊C4—21no—
611(C2×D43)⋊C4—21no—
612(C2×D43)⋊C4—21no—
613(C2×D43)⋊C4—21no—
614(C2×D43)⋊C4—21no—
615(C2×D43)⋊C4—21no—
616(C2×D43)⋊C4—21no—
617(C2×D43)⋊C4—21no—
618(C2×D43)⋊C4—21no—
619(C2×D43)⋊C4—21no—
620(C2×D43)⋊C4—21no—
621(C2×D43)⋊C4—21no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4C2×D411yescharacteristic
627(C2×D43)⋊C4C2×D411yescharacteristic
628(C2×D43)⋊C4C2×D411yescharacteristic
629(C2×D43)⋊C4C2×D411yescharacteristic
630C4⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
633C4⋊Dic43—21no—
634C4⋊Dic43—21no—
635C4⋊Dic43—21no—
636C4⋊Dic43—21no—
637C4⋊Dic43—21no—
638C4⋊Dic43C2×D411yescharacteristic
639C4⋊Dic43C2×D411yescharacteristic
640C4⋊Dic43C2411yescharacteristic
641C4⋊Dic43C2411yescharacteristic
642C4⋊Dic43C2411yescharacteristic
643C4⋊Dic43C2411yescharacteristic
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4—21no—
649Dic43⋊C4—21no—
650Dic43⋊C4—21no—
651Dic43⋊C4—21no—
652Dic43⋊C4—21no—
653Dic43⋊C4—21no—
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663Dic43⋊C4C2×D411yescharacteristic
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43C2×D411yescharacteristic
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2×D411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678#10621877—22no—
679C2×C43⋊C8—22no—
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684Dic172—22no—
685D344—22no—
686#10621873—22no—
687#10621873—22no—
688#10621872—22no—
689#10621872—22no—
690#10621872—22no—
691#10621872—22no—
692#10621872#4114yes—
693#10621872#4114yes—
694C8×D43—22no—
695C8×D43—22no—
696C23×C43—21no—
697C23×C43—21no—
698C23×C43C22×D411yescharacteristic
699C22×D43—22no—
700C22×D43—21no—
701C22×D43—21no—
702C22×D43—41no—
703C22×D43—41no—
704C22×D43—42no—
705C22×D43—42no—
706C22×D43—42no—
707C22×D43C22×D411yescharacteristic
708C22×D43C22×D411yescharacteristic
709Q8×C43—21no—
710Q8×C43—21no—
711Q8×C43—21no—
712Q8×C43—21no—
713Q8×C43—81no—
714Q8×C43—81no—
715D4×C43—21no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—21no—
719D4×C43—81no—
720D4×C43—81no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—81no—
730C2×C4×C43—81no—
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C22×D411yescharacteristic
734C2×C4×C43C22×D411yescharacteristic
735C2×C4×C43C22×D411yescharacteristic
736C2×C4×C43C2511yescharacteristic
737C22⋊D43—42no—
738C22⋊D43—42no—
739C22⋊D43—81no—
740C22⋊D43—81no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C22⋊D43—81no—
744C22⋊D43—81no—
745C2×Dic43—22no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—42no—
753C2×Dic43—81no—
754C2×Dic43—81no—
755C2×Dic43C22×D411yescharacteristic
756C2×Dic43C22×D411yescharacteristic
757C2×Dic43C22×D411yescharacteristic
758C2×Dic43C22×D411yescharacteristic
759C2×Dic43C22×D411yescharacteristic
760C2×Dic43C22×D411yescharacteristic
761D172—21no—
762D172—21no—
763D172—21no—
764D172—21no—
765D172—42no—
766D172—81no—
767D172—81no—
768C4×D43—22no—
769C4×D43—21no—
770C4×D43—21no—
771C4×D43—22no—
772C4×D43—41no—
773C4×D43—41no—
774C4×D43—41no—
775C4×D43—41no—
776C4×D43—42no—
777C4×D43—42no—
778C4×D43—42no—
779C4×D43—42no—
780C4×D43—81no—
781C4×D43—81no—
782C4×D43—81no—
783C4×D43—81no—
784C4×D43C2×#4112yes—
785C4×D43C2×#4112yes—
786Dic86—21no—
787Dic86—21no—
788Dic86—21no—
789Dic86—21no—
790Dic86—42no—
791Dic86—81no—
792Dic86—81no—
793Dic86—81no—
794Dic86—81no—
795C8×C43—21no—
796C8×C43—21no—
797C8×C43C2×#4112yes—
798C8×C43C2×#4112yes—
799C43⋊C8—21no—
800C43⋊C8—21no—
801C43⋊C8C2×#4112yes—
802C43⋊C8C2×#4112yes—
803#60703—431nomaximal, Sylow
804C22×C43—21no—
805C22×C43—21no—
806C22×C43—21no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43—41no—
813C22×C43C23×D411yescharacteristic
814C2×D43—21no—
815C2×D43—21no—
816C2×D43—21no—
817C2×D43—21no—
818C2×D43—21no—
819C2×D43—41no—
820C2×D43—41no—
821C2×D43—41no—
822C2×D43—41no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—82no—
826C2×D43—84no—
827C2×D43#53212yes—
828C4×C43—21no—
829C4×C43—21no—
830C4×C43—21no—
831C4×C43—21no—
832C4×C43—21no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43—41no—
838C4×C43—41no—
839C4×C43C22×#4111yescharacteristic
840C4×C43C22×#4111yescharacteristic
841Dic43—21no—
842Dic43—21no—
843Dic43—21no—
844Dic43—21no—
845Dic43—21no—
846Dic43—41no—
847Dic43—41no—
848Dic43—41no—
849Dic43—41no—
850Dic43—41no—
851Dic43—41no—
852Dic43#53212yes—
853#3455—431no—
854C2×#542—431no—
855#3179—431no—
856#3179—431no—
857#3179—431no—
858#3179—431no—
859#3178—431no—
860#3178—431no—
861#3178—431no—
862#3178—431no—
863#3175—431no—
864#3175—431no—
865#3175—431no—
866#3175D4311yescharacteristic, complemented
867#3173—431no—
868#3173—431no—
869#3173—431no—
870#3173—431no—
871#3165—431no—
872#3153—431no—
873#3141—431no—
874#3140—431no—
875#3056—431no—
876#3056—431no—
877#3055—431no—
878#3055—431no—
879C4×#137—431no—
880C4×#137—431no—
881C4×AGL(1,ℤ/8)—431no—
882C4×AGL(1,ℤ/8)—431no—
883#2873—431no—
884C2×C43—41no—
885C2×C43—81no—
886C2×C43—81no—
887C2×C43C2×#53211yescharacteristic
888C2×C43#358511yescharacteristic
889C2×C43#358611yescharacteristic
890D43—22no—
891D43—41no—
892D43—81no—
893D43—81no—
894C2×#137—431no—
895C2×#137—431no—
896C2×AGL(1,ℤ/8)—431no—
897C2×AGL(1,ℤ/8)—431no—
898C22×M16—431no—
899C22×M16—431no—
900#542—431no—
901#542—431no—
902#542—431no—
903#542—431no—
904#542—431no—
905#542—431no—
906#542—431no—
907#542—431no—
908#542—431no—
909#542—431no—
910#542—861no—
911#542—861no—
912#542—861no—
913#542—861no—
914#542C2×D4311yescharacteristic
915#542C2×D4311yescharacteristic, complemented
916#541—431no—
917#541—431no—
918#540—431no—
919#540—431no—
920#539—861no—
921#539—861no—
922#538—861no—
923#538—861no—
924#533—431no—
925#532—431no—
926C2×C4⋊Q8—431no—
927#529—861no—
928#529—861no—
929#529—861no—
930#529—861no—
931C2×#126—861no—
932C2×#124—431no—
933C2×#124—861no—
934#525—431no—
935#525—431no—
936C2×#123—861no—
937C2×C22⋊Q8—431no—
938C2×C22⋊Q8—861no—
939C2×#121—431no—
940C4×#41—431no—
941C4×#41—431no—
942C2×C4×Q8—431no—
943C2×C4×D4—431no—
944C2×#117—431no—
945#501—431no—
946#501—431no—
947#501—431no—
948#501—431no—
949#500—431no—
950#500C2×D4311yescharacteristic, complemented
951#498—431no—
952#498—431no—
953#497—431no—
954#497—431no—
955#496—431no—
956#496—431no—
957#495—431no—
958#495—431no—
959#495—431no—
960#495C2×D4311yescharacteristic, complemented
961#489—431no—
962#489—431no—
963#489—431no—
964#489—431no—
965#489—431no—
966#489—431no—
967#489C2×D4311yescharacteristic, complemented
968#489C2×D4311yescharacteristic, complemented
969#488—431no—
970#488—431no—
971#488—431no—
972#488—431no—
973#487—431no—
974#487—431no—
975#486—431no—
976#486—431no—
977#470—431no—
978#470—431no—
979#470—431no—
980#470—431no—
981#469—431no—
982#469—431no—
983#469—431no—
984#469—431no—
985#468—431no—
986#468—431no—
987#468—431no—
988#468—431no—
989#468—431no—
990#468—431no—
991#468C2×D4311yescharacteristic
992#468C2×D4311yescharacteristic, complemented
993#467—431no—
994#467—431no—
995#467—431no—
996#467C2×D4311yescharacteristic, complemented
997#466—431no—
998#466—431no—
999#466—431no—
1000#466C2×D4311yescharacteristic
1001#465—431no—
1002#465—431no—
1003#465—431no—
1004#465—431no—
1005#465—431no—
1006#465—431no—
1007#465—431no—
1008#465—431no—
1009#442—431no—
1010#442—431no—
1011#442—431no—
1012#442—431no—
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#440C2×D4311yescharacteristic, complemented
1024#440C2×D4311yescharacteristic, complemented
1025C4×Q16—431no—
1026C4×Q16—431no—
1027C4×Q16—431no—
1028C4×Q16C2×D4311yescharacteristic, complemented
1029C4×SD16—431no—
1030C4×SD16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×SD16—431no—
1034C4×SD16—431no—
1035C4×SD16—431no—
1036C4×SD16—431no—
1037C4×D8—431no—
1038C4×D8—431no—
1039C4×D8—431no—
1040C4×D8C2×D4311yescharacteristic, complemented
1041#428—431no—
1042#428—431no—
1043#428—431no—
1044#428—431no—
1045#419—431no—
1046#419—431no—
1047#418—431no—
1048#418—431no—
1049#417—431no—
1050#417—431no—
1051#417—431no—
1052#417—431no—
1053#405—431no—
1054#405—431no—
1055#405—431no—
1056#405—431no—
1057#405—431no—
1058#405—431no—
1059#405—431no—
1060#405C2×D4311yescharacteristic, complemented
1061C4×M16—431no—
1062C4×M16—431no—
1063C4×M16—431no—
1064C4×M16—431no—
1065C43#6070311yescharacteristic, complemented, Sylow
1066C2×#41—431no—
1067C2×#41—431no—
1068C22×Q8—431no—
1069C22×Q8—861no—
1070C22×D4—431no—
1071C22×D4—861no—
1072C23×C4—431no—
1073C23×C4—861no—
1074#137—864no—
1075#137—864no—
1076AGL(1,ℤ/8)—864no—
1077AGL(1,ℤ/8)—864no—
1078C2×Q16—431no—
1079C2×Q16—431no—
1080C2×Q16—431no—
1081C2×Q16C22×D4311yescharacteristic
1082C2×SD16—431no—
1083C2×SD16—431no—
1084C2×SD16—431no—
1085C2×SD16—431no—
1086C2×SD16—431no—
1087C2×SD16—431no—
1088C2×SD16C22×D4311yescharacteristic
1089C2×SD16C22×D4311yescharacteristic
1090C2×D8—431no—
1091C2×D8—431no—
1092C2×D8—431no—
1093C2×D8C22×D4311yescharacteristic
1094C2×M16—431no—
1095C2×M16—431no—
1096C2×M16—431no—
1097C2×M16—431no—
1098C2×M16—431no—
1099C2×M16—431no—
1100C2×M16—431no—
1101C2×M16—864no—
1102C2×M16—864no—
1103C2×M16C22×D4311yescharacteristic
1104C22×C8—431no—
1105C22×C8—431no—
1106C22×C8—431no—
1107C22×C8C22×D4311yescharacteristic
1108C4⋊Q8—431no—
1109C4⋊Q8—431no—
1110C4⋊Q8—431no—
1111C4⋊Q8—431no—
1112C4⋊Q8—431no—
1113C4⋊Q8—861no—
1114C4⋊Q8—861no—
1115C4⋊Q8C22×D4311yescharacteristic
1116C4⋊Q8C22×D4311yescharacteristic
1117#127—431no—
1118#126—21no—
1119#126—21no—
1120#126—861no—
1121#126—861no—
1122#126—861no—
1123#126—861no—
1124#126—861no—
1125#126—861no—
1126#126—861no—
1127#126—861no—
1128#126—861no—
1129#126—861no—
1130#126—861no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#125—431no—
1135#125—431no—
1136#125—861no—
1137#125—861no—
1138#125—861no—
1139#125—861no—
1140#124—21no—
1141#124—21no—
1142#124—431no—
1143#124—431no—
1144#124—431no—
1145#124—431no—
1146#124—861no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124—861no—
1155#124—861no—
1156#124—861no—
1157#124—861no—
1158#124C22×D4311yescharacteristic
1159#124C22×D4311yescharacteristic
1160#123—21no—
1161#123—21no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173#123—861no—
1174#123—861no—
1175#123—861no—
1176#123—861no—
1177#123—861no—
1178C22⋊Q8—21no—
1179C22⋊Q8—21no—
1180C22⋊Q8—431no—
1181C22⋊Q8—431no—
1182C22⋊Q8—431no—
1183C22⋊Q8—431no—
1184C22⋊Q8—431no—
1185C22⋊Q8—431no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8—861no—
1190C22⋊Q8—861no—
1191C22⋊Q8—861no—
1192C22⋊Q8—861no—
1193C22⋊Q8—861no—
1194C22⋊Q8—861no—
1195C22⋊Q8—861no—
1196C22⋊Q8—861no—
1197C22⋊Q8—861no—
1198C22⋊Q8—861no—
1199C22⋊Q8—861no—
1200C22⋊Q8C22×D4311yescharacteristic
1201C22⋊Q8C22×D4311yescharacteristic
1202#121—431no—
1203#121—431no—
1204#121—431no—
1205#121—431no—
1206#121—431no—
1207#121—431no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121—861no—
1213#121—861no—
1214#121—861no—
1215#121—861no—
1216#121C22×D4311yescharacteristic
1217#121C22×D4311yescharacteristic
1218#120—861no—
1219#120—861no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—431no—
1226C4×Q8—861no—
1227C4×Q8—861no—
1228C4×Q8—861no—
1229C4×Q8—861no—
1230C4×Q8C22×D4311yescharacteristic
1231C4×Q8C22×D4311yescharacteristic
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—861no—
1239C4×D4—861no—
1240C4×D4—861no—
1241C4×D4—861no—
1242C4×D4—861no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4C22×D4311yescharacteristic
1251C4×D4C22×D4311yescharacteristic
1252#117—431no—
1253#117—431no—
1254#117—431no—
1255#117—431no—
1256#117—431no—
1257#117—431no—
1258#117—431no—
1259#117—431no—
1260#117—431no—
1261#117—861no—
1262#117—861no—
1263#117C22×D4311yescharacteristic
1264C2×C4⋊C4—431no—
1265C2×C4⋊C4—431no—
1266C2×C4⋊C4—431no—
1267C2×C4⋊C4—431no—
1268C2×C4⋊C4—861no—
1269C2×C4⋊C4—861no—
1270C2×C4⋊C4—861no—
1271C2×C22⋊C4—431no—
1272C2×C22⋊C4—431no—
1273C2×C22⋊C4—861no—
1274C2×C22⋊C4—861no—
1275C2×C22⋊C4—861no—
1276C2×C22⋊C4—861no—
1277C2×C22⋊C4—861no—
1278C2×C42—431no—
1279C2×C42—431no—
1280C2×C42—861no—
1281C2×C42—861no—
1282C2×C42—861no—
1283#107—431no—
1284#107—431no—
1285#107—431no—
1286#107—431no—
1287#107C22×D4311yescharacteristic
1288#107C22×D4311yescharacteristic
1289#107C22×D4311yescharacteristic
1290#107C22×D4311yescharacteristic
1291#106—431no—
1292#106—431no—
1293#106—431no—
1294#106—431no—
1295#106—431no—
1296#106—431no—
1297#106—431no—
1298#106—431no—
1299#103—431no—
1300#103—431no—
1301#103—431no—
1302#103—431no—
1303#103—431no—
1304#103—431no—
1305#103—431no—
1306#103—431no—
1307#103—431no—
1308#103—431no—
1309#103—431no—
1310#103—431no—
1311#103C22×D4311yescharacteristic
1312#103C22×D4311yescharacteristic
1313#103C22×D4311yescharacteristic
1314#103C22×D4311yescharacteristic
1315#102—431no—
1316#102—431no—
1317#102—431no—
1318#102—431no—
1319#102—431no—
1320#102—431no—
1321#102—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102C22×D4311yescharacteristic
1328#102C22×D4311yescharacteristic
1329#102C22×D4311yescharacteristic
1330#102C22×D4311yescharacteristic
1331#97—431no—
1332#97—431no—
1333#97—431no—
1334#97—431no—
1335#97—431no—
1336#97—431no—
1337#97C22×D4311yescharacteristic
1338#97C22×D4311yescharacteristic
1339C4×C8—431no—
1340C4×C8—431no—
1341C4×C8—431no—
1342C4×C8—431no—
1343C4×C8—431no—
1344C4×C8—431no—
1345C4×C8C22×D4311yescharacteristic
1346C4×C8C22×D4311yescharacteristic
1347C24—431no—
1348C24—861no—
1349#41—862no—
1350#41—862no—
1351#41—862no—
1352#41—862no—
1353C2×Q8—21no—
1354C2×Q8—21no—
1355C2×Q8—431no—
1356C2×Q8—431no—
1357C2×Q8—861no—
1358C2×Q8—861no—
1359C2×Q8—861no—
1360C2×Q8—862no—
1361C2×Q8—862no—
1362C2×Q8—861no—
1363C2×Q8—861no—
1364C2×Q8—3442no—
1365C2×Q8C23×D4311yescharacteristic
1366C2×Q8C23×D4311yescharacteristic
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—431no—
1370C2×D4—431no—
1371C2×D4—861no—
1372C2×D4—861no—
1373C2×D4—861no—
1374C2×D4—862no—
1375C2×D4—862no—
1376C2×D4—861no—
1377C2×D4—861no—
1378C2×D4—861no—
1379C2×D4—861no—
1380C2×D4—861no—
1381C2×D4—861no—
1382C2×D4—861no—
1383C2×D4—861no—
1384C2×D4—3442no—
1385C2×D4C23×D4311yescharacteristic
1386C2×D4C23×D4311yescharacteristic
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—431no—
1390C22×C4—431no—
1391C22×C4—431no—
1392C22×C4—431no—
1393C22×C4—431no—
1394C22×C4—431no—
1395C22×C4—431no—
1396C22×C4—431no—
1397C22×C4—431no—
1398C22×C4—862no—
1399C22×C4—862no—
1400C22×C4—861no—
1401C22×C4—861no—
1402C22×C4—861no—
1403C22×C4—861no—
1404C22×C4—861no—
1405C22×C4—861no—
1406C22×C4—861no—
1407C22×C4—861no—
1408C22×C4—861no—
1409C22×C4—861no—
1410C22×C4—861no—
1411C22×C4—3442no—
1412C22×C4C23×D4311yescharacteristic
1413Q16—22no—
1414Q16—862no—
1415Q16—862no—
1416Q16—862no—
1417SD16—22no—
1418SD16—22no—
1419SD16—862no—
1420SD16—862no—
1421SD16—862no—
1422SD16—862no—
1423SD16—862no—
1424SD16—862no—
1425D8—22no—
1426D8—862no—
1427D8—862no—
1428D8—862no—
1429M16—22no—
1430M16—434no—
1431M16—434no—
1432M16—862no—
1433M16—862no—
1434M16—862no—
1435M16—862no—
1436M16—862no—
1437C2×C8—22no—
1438C2×C8—431no—
1439C2×C8—431no—
1440C2×C8—431no—
1441C2×C8—431no—
1442C2×C8—862no—
1443C2×C8—862no—
1444C2×C8—862no—
1445C2×C8C23×D4311yescharacteristic
1446C2×C8C23×D4311yescharacteristic
1447C2×C8C23×D4311yescharacteristic
1448C2×C8C23×D4311yescharacteristic
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—431no—
1456C4⋊C4—431no—
1457C4⋊C4—431no—
1458C4⋊C4—431no—
1459C4⋊C4—431no—
1460C4⋊C4—431no—
1461C4⋊C4—431no—
1462C4⋊C4—431no—
1463C4⋊C4—431no—
1464C4⋊C4—431no—
1465C4⋊C4—861no—
1466C4⋊C4—861no—
1467C4⋊C4—861no—
1468C4⋊C4—861no—
1469C4⋊C4—861no—
1470C4⋊C4—861no—
1471C4⋊C4—861no—
1472C4⋊C4—861no—
1473C4⋊C4—861no—
1474C4⋊C4—861no—
1475C4⋊C4—861no—
1476C4⋊C4—861no—
1477C4⋊C4—861no—
1478C4⋊C4—861no—
1479C4⋊C4—861no—
1480C4⋊C4—861no—
1481C4⋊C4—861no—
1482C4⋊C4—861no—
1483C4⋊C4—861no—
1484C4⋊C4—861no—
1485C4⋊C4—861no—
1486C4⋊C4—861no—
1487C4⋊C4—861no—
1488C4⋊C4—861no—
1489C4⋊C4D4×D4311yescharacteristic
1490C4⋊C4D4×D4311yescharacteristic
1491C4⋊C4C23×D4311yescharacteristic
1492C4⋊C4C23×D4311yescharacteristic
1493C4⋊C4C23×D4311yescharacteristic
1494C4⋊C4C23×D4311yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—431no—
1506C22⋊C4—431no—
1507C22⋊C4—431no—
1508C22⋊C4—431no—
1509C22⋊C4—431no—
1510C22⋊C4—431no—
1511C22⋊C4—861no—
1512C22⋊C4—861no—
1513C22⋊C4—861no—
1514C22⋊C4—861no—
1515C22⋊C4—861no—
1516C22⋊C4—861no—
1517C22⋊C4—861no—
1518C22⋊C4—861no—
1519C22⋊C4—861no—
1520C22⋊C4—861no—
1521C22⋊C4—861no—
1522C22⋊C4—861no—
1523C22⋊C4—861no—
1524C22⋊C4—861no—
1525C22⋊C4—861no—
1526C22⋊C4—861no—
1527C22⋊C4—861no—
1528C22⋊C4—861no—
1529C22⋊C4—861no—
1530C22⋊C4—861no—
1531C22⋊C4—861no—
1532C22⋊C4—861no—
1533C22⋊C4—861no—
1534C22⋊C4—861no—
1535C22⋊C4—861no—
1536C22⋊C4—861no—
1537C22⋊C4—861no—
1538C22⋊C4—861no—
1539C22⋊C4D4×D4311yescharacteristic
1540C22⋊C4D4×D4311yescharacteristic
1541C42—21no—
1542C42—21no—
1543C42—431no—
1544C42—431no—
1545C42—431no—
1546C42—431no—
1547C42—431no—
1548C42—431no—
1549C42—861no—
1550C42—861no—
1551C42—861no—
1552C42—861no—
1553C42—861no—
1554C42—861no—
1555C42—861no—
1556C42—861no—
1557C42C23×D4311yescharacteristic
1558C42C23×D4311yescharacteristic
1559C23—21no—
1560C23—21no—
1561C23—431no—
1562C23—431no—
1563C23—862no—
1564C23—861no—
1565C23—861no—
1566C23—1721no—
1567C23—1721no—
1568C23—1722no—
1569C23—1722no—
1570C23—1722no—
1571C23C2×D4×D4311yescharacteristic
1572Q8—21no—
1573Q8—21no—
1574Q8—21no—
1575Q8—21no—
1576Q8—81no—
1577Q8—81no—
1578Q8—861no—
1579Q8—861no—
1580Q8—861no—
1581Q8—861no—
1582Q8—3441no—
1583Q8—3441no—
1584Q8—3441no—
1585Q8—3441no—
1586Q8—1722no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—81no—
1592D4—81no—
1593D4—861no—
1594D4—861no—
1595D4—861no—
1596D4—861no—
1597D4—3441no—
1598D4—3441no—
1599D4—3441no—
1600D4—3441no—
1601D4—3441no—
1602D4—3441no—
1603D4—3441no—
1604D4—3441no—
1605D4—1722no—
1606D4—1722no—
1607D4—1722no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—431no—
1619C2×C4—432no—
1620C2×C4—432no—
1621C2×C4—431no—
1622C2×C4—431no—
1623C2×C4—431no—
1624C2×C4—431no—
1625C2×C4—431no—
1626C2×C4—862no—
1627C2×C4—862no—
1628C2×C4—862no—
1629C2×C4—861no—
1630C2×C4—861no—
1631C2×C4—861no—
1632C2×C4—861no—
1633C2×C4—861no—
1634C2×C4—861no—
1635C2×C4—861no—
1636C2×C4—861no—
1637C2×C4—3441no—
1638C2×C4—3441no—
1639C2×C4—3441no—
1640C2×C4—3441no—
1641C2×C4—3441no—
1642C2×C4—3441no—
1643C2×C4—1721no—
1644C2×C4—1721no—
1645C2×C4—1721no—
1646C2×C4—1721no—
1647C2×C4—1722no—
1648C2×C4—1722no—
1649C2×C4—1722no—
1650C2×C4—1722no—
1651C2×C4—1722no—
1652C2×C4C2×D4×D4311yescharacteristic
1653C2×C4C2×D4×D4311yescharacteristic
1654C2×C4C2×D4×D4311yescharacteristic
1655C2×C4C2×D4×D4311yescharacteristic
1656C2×C4C2×D4×D4311yescharacteristic
1657C2×C4C24×D4311yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—432no—
1661C8—432no—
1662C8—861no—
1663C8—861no—
1664C8#41×D4312yes—
1665C8#41×D4312yes—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—432no—
1676C22—861no—
1677C22—861no—
1678C22—861no—
1679C22—861no—
1680C22—861no—
1681C22—3442no—
1682C22—3444no—
1683C22—1721no—
1684C22—1721no—
1685C22—1721no—
1686C22—1721no—
1687C22—1721no—
1688C22—1721no—
1689C22C22×D4×D4311yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—432no—
1702C4—861no—
1703C4—861no—
1704C4—861no—
1705C4—861no—
1706C4—861no—
1707C4—1721no—
1708C4—1721no—
1709C4—1721no—
1710C4—1721no—
1711C4—1721no—
1712C4—1721no—
1713C4C2×#41×D4311yescharacteristic
1714C4C2×#41×D4311yescharacteristic
1715C2—41no—
1716C2—81no—
1717C2—81no—
1718C2—862no—
1719C2—3441no—
1720C2—3441no—
1721C2—1721no—
1722C2#532×D4311yescharacteristic
1723C2#1914937011yescharacteristic
1724C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3175C2
socleC22×C43C23×D4
hypercenter#3175D43
hypocenterC43#60703
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3175

Complements

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

NH ≅ G/Ntype
1. #19147982C2semidirect
2. #542×D43C2semidirect
3. #19145282C2semidirect
4. #19145281C2semidirect
5. #19145276C2semidirect
6. #19145271C2semidirect
7. #19145267C2semidirect
8. #19145266C2semidirect
9. #19145261C2semidirect
10. #19145256C2semidirect
11. #19145237C2semidirect
12. #19145233C2semidirect
13. #19145228C2semidirect
14. #19145212C2semidirect
15. #19145211C2semidirect
16. #19145209C2semidirect
17. #19145206C2semidirect
18. #19145138C2semidirect
19. #19145056C2semidirect
20. #19144987C2semidirect
21. #19144980C2semidirect
22. #19144222C2semidirect
23. #19144220C2semidirect
24. #19144211C2semidirect
25. #19144209C2semidirect
26. #19143417C2semidirect
27. C4×#13063357C2semidirect
28. #19143400C2semidirect
29. C4×#13063349C2semidirect
30. #19143011C2semidirect
31. C43×#3175C2semidirect
39. #14583523C22semidirect
43. #14583520C22semidirect
46. #14583518C22semidirect
52. #14583509C22semidirect
53. #14583507C22semidirect
54. #14583502C22semidirect
55. #14583500C22semidirect
81. #14583307C22semidirect
82. #14583307C22semidirect
83. #14583307C22semidirect
84. #14583307C22semidirect
85. #14583302C22semidirect
86. #14583297C22semidirect
87. #14583295C22semidirect
88. #14583292C22semidirect
89. #14583290C22semidirect
90. #14583287C22semidirect
91. #14583285C22semidirect
92. #14583283C22semidirect
93. #14583281C22semidirect
94. #14583281C22semidirect
95. #14583261C22semidirect
96. #14583261C22semidirect
97. #14583259C22semidirect
98. #14583259C22semidirect
99. #14583258C22semidirect
100. #14583258C22semidirect
101. #14583255C22semidirect
102. #14583255C22semidirect
103. #14583252C22semidirect
104. #14583252C22semidirect
105. #14583248C22semidirect
106. #14583248C22semidirect
107. #14583244C22semidirect
108. #14583244C22semidirect
109. #14583157C22semidirect
110. #14583156C22semidirect
111. #14583155C22semidirect
112. #14583154C22semidirect
117. #14583148C22semidirect
120. #14583146C22semidirect
122. #14583143C22semidirect
123. #14583141C22semidirect
124. #14583139C22semidirect
125. #14583138C22semidirect
130. #14583130C22semidirect
132. #14583128C22semidirect
133. #14583127C22semidirect
136. #14583125C22semidirect
137. #14583012C22semidirect
138. #14583011C22semidirect
139. #14583009C22semidirect
140. #14583008C22semidirect
141. #14583007C22semidirect
142. #14583006C22semidirect
143. #14583004C22semidirect
144. #14583003C22semidirect
145. #14583002C22semidirect
146. #14582999C22semidirect
147. #14582998C22semidirect
148. #14582998C22semidirect
149. #14582997C22semidirect
150. #14582996C22semidirect
151. #14582993C22semidirect
152. C4×#10621885C22semidirect
153. #14582991C22semidirect
154. #14582990C22semidirect
155. C4×#10621873C22semidirect
156. C4×#10621873C22semidirect
157. SD16×Dic43C22semidirect
158. SD16×Dic43C22semidirect
159. C4×#10621884C22semidirect
160. C4×#10621883C22semidirect
161. #14582984C22semidirect
162. #14582981C22semidirect
163. C4×#10621882C22semidirect
164. #14582979C22semidirect
177. #14582857C22semidirect
178. #14582856C22semidirect
179. #14582856C22semidirect
180. #14582855C22semidirect
181. #14582854C22semidirect
182. #14582853C22semidirect
183. #14582853C22semidirect
189. C43×#542C22semidirect
190. C43×#500C22semidirect
191. C43×#495C22semidirect
192. C43×#489C22semidirect
193. C43×#489C22semidirect
195. C43×#468C22semidirect
196. C43×#467C22semidirect
198. C43×#440C22semidirect
199. C43×#440C22semidirect
200. C4×Q16×C43C22semidirect
201. C4×D8×C43C22semidirect
202. C43×#405C22semidirect
866. #3175D43semidirect
915. #542C2×D43semidirect
950. #500C2×D43semidirect
960. #495C2×D43semidirect
967. #489C2×D43semidirect
968. #489C2×D43semidirect
992. #468C2×D43semidirect
996. #467C2×D43semidirect
1023. #440C2×D43semidirect
1024. #440C2×D43semidirect
1028. C4×Q16C2×D43semidirect
1040. C4×D8C2×D43semidirect
1060. #405C2×D43semidirect
1065. C43#60703semidirect

Maximal subgroups

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

subgroupindex
#191479822
#542×D432
#191452822
#191452812
#191452762
#191452712
#191452672
#191452662
#191452612
#191452562
#191452372
#191452332
#191452282
#191452122
#191452112
#191452092
#191452062
#191451382
#191450562
#191449872
#191449802
#191442222
#191442202
#191442112
#191442092
#191434172
C4×#130633572
#191434002
C4×#130633492
#191430112
C43×#31752
#6070343