Finite Group Databasebeta

← #25966649

Subgroups — #25966649

Order 11008.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148021C211yesmaximal, characteristic, complemented
2#19148010C211yesmaximal, characteristic, complemented
3#19145323C211yesmaximal, characteristic, complemented
4#19145319C211yesmaximal, characteristic, complemented
5#19145312C211yesmaximal, characteristic, complemented
6#19145308C211yesmaximal, characteristic, complemented
7#19145306C211yesmaximal, characteristic, complemented
8#19145297C211yesmaximal, characteristic, complemented
9#19145290C211yesmaximal, characteristic, complemented
10#19145288C211yesmaximal, characteristic, complemented
11#19145284C211yesmaximal, characteristic, complemented
12#19145263C211yesmaximal, characteristic, complemented
13#19145261C211yesmaximal, characteristic, complemented
14#19145230C211yesmaximal, characteristic, complemented
15#19145228C211yesmaximal, characteristic, complemented
16#19145219C211yesmaximal, characteristic, complemented
17#19145217C211yesmaximal, characteristic, complemented
18#19145130C211yesmaximal, characteristic, complemented
19#19145068C211yesmaximal, characteristic, complemented
20#19144959C211yesmaximal, characteristic, complemented
21#19144944C211yesmaximal, characteristic, complemented
22#19144281C211yesmaximal, characteristic, complemented
23#19144272C211yesmaximal, characteristic, complemented
24#19144260C211yesmaximal, characteristic, complemented
25#19144229C211yesmaximal, characteristic, complemented
26C4×#13063354C211yesmaximal, characteristic, complemented
27C4×#13063349C211yesmaximal, characteristic, complemented
28#19143392C211yesmaximal, characteristic, complemented
29#440×D43C211yesmaximal, characteristic, complemented
30#19143022C211yesmaximal, characteristic, complemented
31C43×#3179C211yesmaximal, characteristic, complemented
32C2×#13063354C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063344C2211yescharacteristic
35C2×SD16×D43C2211yescharacteristic
36C2×#13063333C2211yescharacteristic
37C2×#13063331C2211yescharacteristic
38#14583529C2211yescharacteristic
39#14583526C2211yescharacteristic
40#14583520C2211yescharacteristic
41#14583517—21no—
42#14583514C2211yescharacteristic
43#14583514C2211yescharacteristic, complemented
44#14583513—21no—
45#14583511C2211yescharacteristic, complemented
46#14583507C2211yescharacteristic, complemented
47#14583506—21no—
48#14583500C2211yescharacteristic
49#14583499—21no—
50#14583495—21no—
51#14583492—21no—
52#14583485—21no—
53#14583481—21no—
54#14583478C2211yescharacteristic
55#14583478C2211yescharacteristic
56#14583472C2211yescharacteristic
57#14583469C2211yescharacteristic
58#14583465C2211yescharacteristic
59#14583462C2211yescharacteristic
60#14583454C2211yescharacteristic, complemented
61#14583451—21no—
62#14583451C2211yescharacteristic, complemented
63#14583447C2211yescharacteristic
64#14583444—21no—
65#14583444C2211yescharacteristic
66#14583434C2211yescharacteristic
67#14583432—21no—
68#14583430C2211yescharacteristic
69#14583430C2211yescharacteristic, complemented
70#14583428—21no—
71#14583428C2211yescharacteristic, complemented
72#14583426—21no—
73#14583426—21no—
74#14583409—21no—
75#14583407—21no—
76#14583367C2211yescharacteristic
77C4×#10621900C2211yescharacteristic
78C4×#10621900C2211yescharacteristic
79C4×Q8×D43C2211yescharacteristic
80C4×D4×D43C2211yescharacteristic
81#14583308C2211yescharacteristic, complemented
82#14583307C2211yescharacteristic, complemented
83#14583306C2211yescharacteristic, complemented
84#14583303C2211yescharacteristic, complemented
85#14583302C2211yescharacteristic, complemented
86#14583299C2211yescharacteristic, complemented
87#14583298C2211yescharacteristic, complemented
88#14583293C2211yescharacteristic
89#14583290C2211yescharacteristic
90#14583287C2211yescharacteristic
91#14583282C2211yescharacteristic
92#14583281C2211yescharacteristic
93#14583271C2211yescharacteristic
94#14583270C2211yescharacteristic
95#14583269C2211yescharacteristic, complemented
96#14583266C2211yescharacteristic, complemented
97#14583263C2211yescharacteristic
98#14583262C2211yescharacteristic
99#14583261C2211yescharacteristic
100#14583258C2211yescharacteristic, complemented
101#14583257C2211yescharacteristic
102#14583257C2211yescharacteristic, complemented
103#14583254C2211yescharacteristic
104#14583252C2211yescharacteristic
105#14583252C2211yescharacteristic, complemented
106#14583250C2211yescharacteristic, complemented
107#14583248C2211yescharacteristic, complemented
108#14583244C2211yescharacteristic
109#14583157C2211yescharacteristic, complemented
110#14583156C2211yescharacteristic, complemented
111#14583151C2211yescharacteristic
112#14583148C2211yescharacteristic
113#14583147C2211yescharacteristic
114#14583145C2211yescharacteristic
115#14583144C2211yescharacteristic
116#14583144C2211yescharacteristic
117#14583144C2211yescharacteristic, complemented
118#14583144C2211yescharacteristic, complemented
119#14583144C2211yescharacteristic, complemented
120#14583143C2211yescharacteristic
121#14583143C2211yescharacteristic, complemented
122#14583143C2211yescharacteristic, complemented
123#14583141C2211yescharacteristic, complemented
124#14583141C2211yescharacteristic, complemented
125#14583140C2211yescharacteristic, complemented
126#14583138C2211yescharacteristic, complemented
127#14583133C2211yescharacteristic
128#14583132C2211yescharacteristic
129#14583132C2211yescharacteristic, complemented
130#14583129C2211yescharacteristic
131#14583129C2211yescharacteristic
132#14583128C2211yescharacteristic
133#14583126C2211yescharacteristic
134#14583126C2211yescharacteristic, complemented
135#14583125C2211yescharacteristic
136#14583125C2211yescharacteristic, complemented
137#14583011C2211yescharacteristic
138#14583011C2211yescharacteristic, complemented
139#14583008C2211yescharacteristic
140#14583007C2211yescharacteristic, complemented
141#14583005C2211yescharacteristic, complemented
142#14583005C2211yescharacteristic, complemented
143#14583003C2211yescharacteristic, complemented
144#14583002C2211yescharacteristic
145#14583001C2211yescharacteristic
146#14583000C2211yescharacteristic
147#14583000C2211yescharacteristic, complemented
148#14582999C2211yescharacteristic
149#14582999C2211yescharacteristic, complemented
150#14582999C2211yescharacteristic, complemented
151#14582998C2211yescharacteristic
152#14582998C2211yescharacteristic
153#14582997C2211yescharacteristic
154#14582996C2211yescharacteristic
155#14582996C2211yescharacteristic
156#14582996C2211yescharacteristic, complemented
157#14582996C2211yescharacteristic, complemented
158#14582996C2211yescharacteristic, complemented
159C4×Dic172C2211yescharacteristic, complemented
160C4×#10621885C2211yescharacteristic, complemented
161C4×#10621873C2211yescharacteristic
162C4×#10621883C2211yescharacteristic
163C4×#10621883C2211yescharacteristic, complemented
164C4×#10621882C2211yescharacteristic
165#14582940C2211yescharacteristic
166#14582938C2211yescharacteristic
167#14582934C2211yescharacteristic
168#107×D43C2211yescharacteristic
169#14582906C2211yescharacteristic
170#14582902C2211yescharacteristic
171#14582897C2211yescharacteristic
172#14582897C2211yescharacteristic
173#14582892C2211yescharacteristic
174#14582892C2211yescharacteristic
175#103×D43C2211yescharacteristic
176#102×D43C2211yescharacteristic
177#14582856C2211yescharacteristic
178#14582856C2211yescharacteristic, complemented
179#14582855C2211yescharacteristic, complemented
180#14582853C2211yescharacteristic
181#14582853C2211yescharacteristic, complemented
182M16×Dic43C2211yescharacteristic, complemented
183C4×#10621872C2211yescharacteristic
184C4×#10621872C2211yescharacteristic, complemented
185C2×#13063235C2211yescharacteristic, complemented
186#97×D43C2211yescharacteristic
187#97×D43C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic, complemented
189C43×#540C2211yescharacteristic
190C43×#501C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic
192C43×#488C2211yescharacteristic, complemented
193C43×#486C2211yescharacteristic
194C43×#469C2211yescharacteristic
195C43×#468C2211yescharacteristic, complemented
196C43×#466C2211yescharacteristic, complemented
197C43×#465C2211yescharacteristic
198C43×#442C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic
202C43×#405C2211yescharacteristic, complemented
203C2×#10621898C2311yescharacteristic
204C2×#10621900—21no—
205C2×#10621900—21no—
206C2×#10621900C2311yescharacteristic
207C2×#10621900C2311yescharacteristic
208C2×Q8×D43C2311yescharacteristic
209C2×D4×D43C2311yescharacteristic
210C22×C4×D43—21no—
211#13063354—24no—
212#13063349—24no—
213#13063344—24no—
214C2×Dic172C2311yescharacteristic
215C2×Dic172C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621883C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225SD16×D43—24no—
226C2×#10621882C2311yescharacteristic
227#13063333—24no—
228#13063331—24no—
229C2×#10621877C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233C2×#10621872C2311yescharacteristic
234C22×C43⋊C8C2311yescharacteristic
235C2×C8×D43C2311yescharacteristic
236C2×C8×D43C2311yescharacteristic
237C2×C8×D43C2311yescharacteristic
238C2×C8×D43C2311yescharacteristic
239#13063325C2311yescharacteristic
240#13063325C2311yescharacteristic
241#13063324—21no—
242#13063324—21no—
243#13063324C2311yescharacteristic
244#13063324C2311yescharacteristic
245#13063323—21no—
246#13063323C2311yescharacteristic
247#13063321—21no—
248#13063321C2311yescharacteristic
249#13063320—21no—
250#13063320—21no—
251#13063320—21no—
252#13063319—21no—
253#13063318—21no—
254#13063318—21no—
255#13063318—21no—
256#13063318—21no—
257#13063318—21no—
258#13063318—21no—
259#13063318—21no—
260#13063317—21no—
261#13063317C2311yescharacteristic
262#13063316—21no—
263#13063316C2311yescharacteristic
264#13063316C2311yescharacteristic
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063315—21no—
270#13063315—21no—
271#13063313C2311yescharacteristic
272#13063312—21no—
273#13063312C2311yescharacteristic
274#13063312C2311yescharacteristic
275#13063311—21no—
276#13063311—21no—
277#13063311—21no—
278#13063311—21no—
279#13063311—21no—
280#13063311—21no—
281#13063310—21no—
282#13063310—21no—
283#13063308—21no—
284#13063308—21no—
285#13063308—21no—
286#13063307—21no—
287#13063307—21no—
288#13063307—21no—
289#13063307—21no—
290#13063307—21no—
291#13063307—21no—
292#13063306—21no—
293#13063306—21no—
294#13063305—21no—
295#13063305C2311yescharacteristic
296#13063305C2311yescharacteristic
297#13063305C2311yescharacteristic
298#13063304—21no—
299#13063304—21no—
300#13063304C2311yescharacteristic
301#13063304C2311yescharacteristic
302#13063304C2311yescharacteristic
303#13063303—21no—
304#13063303—21no—
305#13063303—21no—
306#13063302—21no—
307#13063302—21no—
308#13063302—21no—
309#13063302—21no—
310#13063302—21no—
311#13063301—21no—
312#13063301—21no—
313#13063301C2311yescharacteristic
314#13063300C2311yescharacteristic
315#13063299—21no—
316#13063299C2311yescharacteristic
317#13063298—21no—
318#13063298—21no—
319#13063298—21no—
320#13063297—21no—
321#13063297—21no—
322#13063297—21no—
323#13063297—21no—
324#13063297—21no—
325#13063296—21no—
326#13063296—21no—
327#13063296—21no—
328#13063296C2311yescharacteristic
329#13063296C2311yescharacteristic
330#13063296C2311yescharacteristic
331#13063295—21no—
332#13063293—21no—
333#13063293—21no—
334#13063293—21no—
335Q8×Dic43—21no—
336Q8×Dic43C2311yescharacteristic
337C4×Dic86—21no—
338C4×Dic86C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341#13063290—21no—
342#13063290—21no—
343#13063290D411yescharacteristic
344#13063290D411yescharacteristic
345#13063290C2311yescharacteristic
346#13063290C2311yescharacteristic
347#13063290C2311yescharacteristic
348C4×D172C2311yescharacteristic
349D4×Dic43—21no—
350D4×Dic43—21no—
351D4×Dic43—21no—
352D4×Dic43C2311yescharacteristic
353D4×Dic43C2311yescharacteristic
354D4×Dic43C2311yescharacteristic
355#13063287—21no—
356#13063287D411yescharacteristic
357#13063287D411yescharacteristic
358#13063287C2311yescharacteristic
359C4×C22⋊D43—21no—
360C4×C22⋊D43—21no—
361C4×C22⋊D43—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366(C22⋊D43)⋊C4—21no—
367(C22⋊D43)⋊C4D411yescharacteristic
368(C22⋊D43)⋊C4D411yescharacteristic
369(C22⋊D43)⋊C4D411yescharacteristic
370(C22⋊D43)⋊C4D411yescharacteristic
371#13063283—21no—
372#13063283—21no—
373#13063283C2311yescharacteristic
374#13063283C2311yescharacteristic
375#13063282C2311yescharacteristic
376#13063282C2311yescharacteristic
377#13063281—21no—
378#13063281—21no—
379#13063281—21no—
380#13063281—21no—
381#13063281—21no—
382#13063281—21no—
383C4⋊C4×D43—21no—
384C4⋊C4×D43C2311yescharacteristic
385C4⋊C4×D43C2311yescharacteristic
386C22⋊C4×D43—21no—
387C2×C4×Dic43—21no—
388C2×C4×Dic43—21no—
389C2×C4×Dic43C2311yescharacteristic
390C42×D43—21no—
391C42×D43C2311yescharacteristic
392C42×D43C2311yescharacteristic
393#13063259C2311yescharacteristic
394#13063259C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063258C2311yescharacteristic
398#13063258C2311yescharacteristic
399#13063258C2311yescharacteristic
400#13063258C2311yescharacteristic
401#13063257C2311yescharacteristic
402#13063257C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063250C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063236C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433#13063235C2311yescharacteristic
434#13063235C2311yescharacteristic
435#13063235C2311yescharacteristic
436#13063235C2311yescharacteristic
437C4×C43⋊C8C2311yescharacteristic
438C4×C43⋊C8C2311yescharacteristic
439C8×Dic43C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445C2×M16×C43C2311yescharacteristic
446C22×C8×C43C2311yescharacteristic
447C4⋊Q8×C43C2311yescharacteristic
448#127×C43C2311yescharacteristic
449#126×C43—21no—
450#125×C43C2311yescharacteristic
451#124×C43—21no—
452#124×C43C2311yescharacteristic
453#123×C43—21no—
454#123×C43—21no—
455#123×C43—21no—
456C22⋊Q8×C43—21no—
457C22⋊Q8×C43C2311yescharacteristic
458#121×C43—21no—
459#121×C43—21no—
460#121×C43C2311yescharacteristic
461#121×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463C4×Q8×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466C4×D4×C43C2311yescharacteristic
467#117×C43C2311yescharacteristic
468#107×C43C2311yescharacteristic
469#107×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471#106×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×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—
485C2×Q8×C43—21no—
486C2×Q8×C43C2411yescharacteristic
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43C2411yescharacteristic
493C2×D4×C43C2411yescharacteristic
494C2×D4×C43C2411yescharacteristic
495C22×C4×C43—21no—
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43C2411yescharacteristic
499C2×C22⋊D43—21no—
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
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⋊D43C2×D411yescharacteristic
509C2×C22⋊D43C2×D411yescharacteristic
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43C2×D411yescharacteristic
516C22×Dic43C2×D411yescharacteristic
517Q8×D43—22no—
518Q8×D43—22no—
519#10621900—22no—
520#10621900—22no—
521#10621900—22no—
522#10621900—22no—
523#10621900—82no—
524#10621900—82no—
525D4×D43—22no—
526D4×D43—22no—
527#10621898—22no—
528#10621898—22no—
529C2×D172—21no—
530C2×D172C2×D411yescharacteristic
531C2×D172C2411yescharacteristic
532C2×C4×D43—21no—
533C2×C4×D43—21no—
534C2×C4×D43—21no—
535C2×C4×D43—21no—
536C2×C4×D43—21no—
537C2×C4×D43—82no—
538C2×C4×D43C2×D411yescharacteristic
539C2×C4×D43C2×D411yescharacteristic
540C2×C4×D43C2×D411yescharacteristic
541C2×C4×D43C2×D411yescharacteristic
542C2×C4×D43C2411yescharacteristic
543C2×C4×D43C2411yescharacteristic
544C2×Dic86—21no—
545C2×Dic86—21no—
546C2×Dic86—21no—
547C2×Dic86—21no—
548C2×Dic86C2×D411yescharacteristic
549C2×Dic86C2411yescharacteristic
550C2×Dic86C2411yescharacteristic
551C2×Dic86C2411yescharacteristic
552SD16×C43—22no—
553SD16×C43—22no—
554D8×C43—22no—
555D8×C43—22no—
556M16×C43—22no—
557C2×C8×C43—22no—
558C2×C8×C43C2411yescharacteristic
559C2×C8×C43C2411yescharacteristic
560C2×C8×C43C2411yescharacteristic
561C2×C8×C43C2411yescharacteristic
562C4⋊C4×C43—21no—
563C4⋊C4×C43—21no—
564C4⋊C4×C43—21no—
565C4⋊C4×C43—21no—
566C4⋊C4×C43—21no—
567C4⋊C4×C43C2×D411yescharacteristic
568C4⋊C4×C43C2×D411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C4⋊C4×C43C2411yescharacteristic
572C4⋊C4×C43C2411yescharacteristic
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×C43C2411yescharacteristic
586C42×C43C2411yescharacteristic
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⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600#10621885—22no—
601#10621884—22no—
602#10621883—22no—
603#10621883—22no—
604#10621883—22no—
605#10621883—22no—
606#10621883—22no—
607#10621882—22no—
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)⋊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⋊Dic43—21no—
631C4⋊Dic43—21no—
632C4⋊Dic43—21no—
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
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43C2×D411yescharacteristic
671C4×Dic43C2×D411yescharacteristic
672C4×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—
685Dic172—22no—
686#10621873—22no—
687#10621873—22no—
688#10621872—22no—
689#10621872—22no—
690#10621872—22no—
691#10621872#4114yescomplemented
692C8×D43—22no—
693C8×D43—22no—
694C8×D43—22no—
695C8×D43#4114yescomplemented
696C23×C43—21no—
697C23×C43—21no—
698C23×C43—21no—
699C23×C43C22×D411yescharacteristic
700C22×D43—21no—
701C22×D43—42no—
702C22×D43—81no—
703C22×D43—81no—
704C22×D43C22×D411yescharacteristic
705C22×D43C22×D411yescharacteristic
706Q8×C43—21no—
707Q8×C43—21no—
708Q8×C43—81no—
709D4×C43—21no—
710D4×C43—21no—
711D4×C43—21no—
712D4×C43—21no—
713D4×C43—21no—
714D4×C43—21no—
715D4×C43—81no—
716D4×C43—81no—
717D4×C43—81no—
718D4×C43—81no—
719D4×C43—81no—
720C2×C4×C43—21no—
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—81no—
728C2×C4×C43—81no—
729C2×C4×C43—81no—
730C2×C4×C43C22×D411yescharacteristic
731C2×C4×C43C22×D411yescharacteristic
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C22×D411yescharacteristic
734C2×C4×C43C22×D411yescharacteristic
735C2×C4×C43C2511yescharacteristic
736C22⋊D43—22no—
737C22⋊D43—22no—
738C22⋊D43—42no—
739C22⋊D43—42no—
740C22⋊D43—42no—
741C22⋊D43—81no—
742C22⋊D43—81no—
743C22⋊D43—81no—
744C22⋊D43—81no—
745C22⋊D43—81no—
746C22⋊D43—81no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—41no—
755C2×Dic43—41no—
756C2×Dic43—42no—
757C2×Dic43—42no—
758C2×Dic43—42no—
759C2×Dic43—42no—
760C2×Dic43—42no—
761C2×Dic43C22×D411yescharacteristic
762C2×Dic43C22×D411yescharacteristic
763C2×Dic43C22×D411yescharacteristic
764C2×Dic43C22×D411yescharacteristic
765C2×Dic43C22×D411yescharacteristic
766C2×Dic43C22×D411yescharacteristic
767D172—22no—
768D172—21no—
769D172—21no—
770D172—81no—
771C4×D43—21no—
772C4×D43—21no—
773C4×D43—41no—
774C4×D43—41no—
775C4×D43—41no—
776C4×D43—41no—
777C4×D43—42no—
778C4×D43—42no—
779C4×D43—81no—
780C4×D43—81no—
781C4×D43—81no—
782C4×D43C2×#4112yes—
783C4×D43C2×#4112yes—
784Dic86—22no—
785Dic86—21no—
786Dic86—21no—
787Dic86—21no—
788Dic86—21no—
789Dic86—21no—
790Dic86—21no—
791Dic86—42no—
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#60697—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×C43—41no—
814C22×C43—41no—
815C22×C43—41no—
816C22×C43C23×D411yescharacteristic
817C2×D43—21no—
818C2×D43—21no—
819C2×D43—21no—
820C2×D43—21no—
821C2×D43—21no—
822C2×D43—41no—
823C2×D43—41no—
824C2×D43—41no—
825C2×D43—84no—
826C2×D43#53212yes—
827C4×C43—21no—
828C4×C43—21no—
829C4×C43—21no—
830C4×C43—21no—
831C4×C43—21no—
832C4×C43—41no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43C22×#4111yescharacteristic
838C4×C43C22×#4111yescharacteristic
839Dic43—21no—
840Dic43—21no—
841Dic43—21no—
842Dic43—21no—
843Dic43—21no—
844Dic43—41no—
845Dic43—41no—
846Dic43—41no—
847Dic43—41no—
848Dic43—41no—
849Dic43—41no—
850Dic43—41no—
851Dic43#53212yes—
852#3461—431no—
853#3460—431no—
854#3183—431no—
855#3183—431no—
856#3182—431no—
857#3182—431no—
858#3181—431no—
859#3181—431no—
860#3180—431no—
861#3180—431no—
862#3179—431no—
863#3179D4311yescharacteristic, complemented
864#3178—431no—
865#3178—431no—
866#3175—431no—
867#3175—431no—
868#3174—431no—
869#3174—431no—
870#3164—431no—
871#3154—431no—
872#3137—431no—
873#3136—431no—
874#3063—431no—
875#3062—431no—
876#3061—431no—
877#3057—431no—
878C4×#137—431no—
879C4×AGL(1,ℤ/8)—431no—
880#2943—431no—
881C2×#440—431no—
882#2875—431no—
883C2×C43—41no—
884C2×C43—81no—
885C2×C43—81no—
886C2×C43—81no—
887C2×C43C2×#53211yescharacteristic
888C2×C43#358511yescharacteristic
889C2×C43#358611yescharacteristic
890D43—22no—
891D43—41no—
892D43—81no—
893C2×#137—431no—
894C2×AGL(1,ℤ/8)—431no—
895C2×#135—431no—
896C22×SD16—431no—
897C2×#131—431no—
898C2×#131—431no—
899#544—431no—
900#544—431no—
901#542—431no—
902#542—431no—
903#542—431no—
904#542—861no—
905#542—861no—
906#542C2×D4311yescharacteristic, complemented
907#541—431no—
908#541—431no—
909#541—861no—
910#540—431no—
911#540—861no—
912#540C2×D4311yescharacteristic
913#539—861no—
914#539—861no—
915#538—861no—
916#538—861no—
917#537—431no—
918#537—431no—
919#536—431no—
920#536—431no—
921#535—431no—
922#535—431no—
923#533—431no—
924#533—431no—
925#533—861no—
926#532—431no—
927#532—431no—
928#532—861no—
929#529—431no—
930#529—431no—
931#529—431no—
932#529—431no—
933#529—861no—
934#529—861no—
935#529—861no—
936#529—861no—
937#525—861no—
938#525—861no—
939C4×#41—431no—
940C4×#41—431no—
941C4×#41—431no—
942C2×C4×Q8—431no—
943C2×C4×D4—431no—
944#501—431no—
945#501—431no—
946#501—431no—
947#501C2×D4311yescharacteristic, complemented
948#500—431no—
949#500—431no—
950#499—431no—
951#499—431no—
952#497—431no—
953#497—431no—
954#496—431no—
955#496C2×D4311yescharacteristic
956#495—431no—
957#495—431no—
958#492—431no—
959#492—431no—
960#491—431no—
961#491—431no—
962#490—431no—
963#490—431no—
964#489—431no—
965#489—431no—
966#489—431no—
967#489—431no—
968#488—431no—
969#488—431no—
970#488—431no—
971#488C2×D4311yescharacteristic, complemented
972#487—431no—
973#487—431no—
974#486—431no—
975#486C2×D4311yescharacteristic
976#470—431no—
977#470—431no—
978#469—431no—
979#469C2×D4311yescharacteristic
980#468—431no—
981#468—431no—
982#468—431no—
983#468—431no—
984#468—431no—
985#468—431no—
986#468—431no—
987#468—431no—
988#468—431no—
989#468—431no—
990#468—431no—
991#468C2×D4311yescharacteristic, complemented
992#467—431no—
993#467—431no—
994#467—431no—
995#467—431no—
996#466—431no—
997#466—431no—
998#466—431no—
999#466C2×D4311yescharacteristic, complemented
1000#465—431no—
1001#465—431no—
1002#465—431no—
1003#465—431no—
1004#465—431no—
1005#465—431no—
1006#465—431no—
1007#465C2×D4311yescharacteristic
1008#442—431no—
1009#442—431no—
1010#442—431no—
1011#442C2×D4311yescharacteristic, complemented
1012#441—431no—
1013#441—431no—
1014#441—431no—
1015#441—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—431no—
1025#440—431no—
1026#440—431no—
1027#440—431no—
1028#440—431no—
1029#440—431no—
1030#440—431no—
1031#440C2×D4311yescharacteristic
1032C4×Q16—431no—
1033C4×Q16—431no—
1034C4×SD16—431no—
1035C4×SD16—431no—
1036C4×SD16—431no—
1037C4×SD16C2×D4311yescharacteristic, complemented
1038C4×D8—431no—
1039C4×D8C2×D4311yescharacteristic
1040#428—431no—
1041#428—431no—
1042#427—431no—
1043C2×#107—431no—
1044#419—431no—
1045#418—431no—
1046#417—431no—
1047#417—431no—
1048#416—431no—
1049#416—431no—
1050C2×#103—431no—
1051C2×#102—431no—
1052#405—431no—
1053#405—431no—
1054#405—431no—
1055#405—431no—
1056#405—431no—
1057#405C2×D4311yescharacteristic, complemented
1058C4×M16—431no—
1059C4×M16—431no—
1060C4×M16—431no—
1061C2×#97—431no—
1062C2×#97—431no—
1063C2×#97—431no—
1064C43#6069711yescharacteristic, complemented, Sylow
1065C2×#41—431no—
1066C2×#41—431no—
1067C2×#41—431no—
1068C2×#41—861no—
1069C2×#41—861no—
1070C22×Q8—431no—
1071C22×D4—431no—
1072C23×C4—861no—
1073#137—864no—
1074AGL(1,ℤ/8)—864no—
1075#135—864no—
1076C2×Q16—431no—
1077C2×Q16—431no—
1078C2×Q16—431no—
1079C2×SD16—431no—
1080C2×SD16—431no—
1081C2×SD16—431no—
1082C2×SD16—431no—
1083C2×SD16—431no—
1084C2×SD16—431no—
1085C2×SD16—431no—
1086C2×SD16—431no—
1087C2×SD16—864no—
1088C2×SD16C22×D4311yescharacteristic
1089C2×SD16C22×D4311yescharacteristic
1090C2×D8—431no—
1091C2×D8C22×D4311yescharacteristic
1092C2×D8C22×D4311yescharacteristic
1093#131—864no—
1094#131—864no—
1095C2×M16—431no—
1096C2×M16—431no—
1097C2×M16—431no—
1098C2×M16—431no—
1099C2×M16—431no—
1100C2×M16C22×D4311yescharacteristic
1101C22×C8—431no—
1102C22×C8—431no—
1103C22×C8—431no—
1104C22×C8—431no—
1105C22×C8—431no—
1106C22×C8C22×D4311yescharacteristic
1107C4⋊Q8—431no—
1108C4⋊Q8—431no—
1109C4⋊Q8—431no—
1110C4⋊Q8—431no—
1111C4⋊Q8—431no—
1112C4⋊Q8—861no—
1113C4⋊Q8—861no—
1114C4⋊Q8—861no—
1115C4⋊Q8C22×D4311yescharacteristic
1116#127—431no—
1117#127—861no—
1118#127C22×D4311yescharacteristic
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#125—431no—
1132#125—431no—
1133#125—431no—
1134#125—861no—
1135#125—861no—
1136#125—861no—
1137#125—861no—
1138#125—861no—
1139#125—861no—
1140#125—861no—
1141#125—861no—
1142#125C22×D4311yescharacteristic
1143#124—21no—
1144#124—431no—
1145#124—431no—
1146#124—431no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124—861no—
1151#124—861no—
1152#124—861no—
1153#124—861no—
1154#124C22×D4311yescharacteristic
1155#123—21no—
1156#123—21no—
1157#123—21no—
1158#123—861no—
1159#123—861no—
1160#123—861no—
1161#123—861no—
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—
1171C22⋊Q8—21no—
1172C22⋊Q8—431no—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—431no—
1176C22⋊Q8—431no—
1177C22⋊Q8—431no—
1178C22⋊Q8—431no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8—861no—
1182C22⋊Q8—861no—
1183C22⋊Q8—861no—
1184C22⋊Q8—861no—
1185C22⋊Q8—861no—
1186C22⋊Q8—861no—
1187C22⋊Q8—861no—
1188C22⋊Q8—861no—
1189C22⋊Q8—861no—
1190C22⋊Q8—861no—
1191C22⋊Q8—861no—
1192C22⋊Q8C22×D4311yescharacteristic
1193#121—21no—
1194#121—21no—
1195#121—431no—
1196#121—431no—
1197#121—431no—
1198#121—431no—
1199#121—431no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121C22×D4311yescharacteristic
1213#121C22×D4311yescharacteristic
1214#121C22×D4311yescharacteristic
1215#120—861no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219C4×Q8—431no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—431no—
1226C4×Q8—431no—
1227C4×Q8—431no—
1228C4×Q8—861no—
1229C4×Q8—861no—
1230C4×Q8—861no—
1231C4×Q8—861no—
1232C4×Q8C22×D4311yescharacteristic
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—431no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4C22×D4311yescharacteristic
1257C4×D4C22×D4311yescharacteristic
1258C4×D4C22×D4311yescharacteristic
1259#117—431no—
1260#117—431no—
1261#117—431no—
1262#117—431no—
1263#117—861no—
1264#117—861no—
1265#117—861no—
1266#117—861no—
1267#117—861no—
1268#117—861no—
1269#117—861no—
1270#117—861no—
1271#117C22×D4311yescharacteristic
1272C2×C4⋊C4—431no—
1273C2×C4⋊C4—431no—
1274C2×C4⋊C4—861no—
1275C2×C22⋊C4—861no—
1276C2×C42—431no—
1277C2×C42—431no—
1278C2×C42—431no—
1279C2×C42—861no—
1280C2×C42—861no—
1281C2×C42—861no—
1282#107—431no—
1283#107—431no—
1284#107—431no—
1285#107—431no—
1286#107—431no—
1287#107—431no—
1288#107—431no—
1289#107—431no—
1290#107C22×D4311yescharacteristic
1291#107C22×D4311yescharacteristic
1292#106—431no—
1293#106—431no—
1294#106—431no—
1295#106—431no—
1296#106C22×D4311yescharacteristic
1297#106C22×D4311yescharacteristic
1298#103—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#103—431no—
1312#103C22×D4311yescharacteristic
1313#103C22×D4311yescharacteristic
1314#102—431no—
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#102C22×D4311yescharacteristic
1325#102C22×D4311yescharacteristic
1326#102C22×D4311yescharacteristic
1327#102C22×D4311yescharacteristic
1328#102C22×D4311yescharacteristic
1329#102C22×D4311yescharacteristic
1330#97—431no—
1331#97—431no—
1332#97—431no—
1333#97—431no—
1334#97—431no—
1335#97—431no—
1336#97—431no—
1337#97—431no—
1338#97C22×D4311yescharacteristic
1339#97C22×D4311yescharacteristic
1340C4×C8—431no—
1341C4×C8—431no—
1342C4×C8—431no—
1343C4×C8—431no—
1344C4×C8C22×D4311yescharacteristic
1345C4×C8C22×D4311yescharacteristic
1346C24—861no—
1347#41—862no—
1348#41—862no—
1349#41—862no—
1350#41—862no—
1351#41—862no—
1352#41—862no—
1353#41—3442no—
1354#41—3442no—
1355C2×Q8—21no—
1356C2×Q8—431no—
1357C2×Q8—431no—
1358C2×Q8—431no—
1359C2×Q8—431no—
1360C2×Q8—861no—
1361C2×Q8—861no—
1362C2×Q8—861no—
1363C2×Q8—862no—
1364C2×Q8—862no—
1365C2×Q8—861no—
1366C2×Q8C23×D4311yescharacteristic
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—431no—
1373C2×D4—431no—
1374C2×D4—431no—
1375C2×D4—431no—
1376C2×D4—861no—
1377C2×D4—862no—
1378C2×D4—862no—
1379C2×D4—861no—
1380C2×D4—861no—
1381C2×D4—861no—
1382C2×D4—861no—
1383C2×D4—861no—
1384C2×D4—861no—
1385C2×D4—861no—
1386C2×D4—861no—
1387C2×D4—861no—
1388C2×D4C23×D4311yescharacteristic
1389C2×D4C23×D4311yescharacteristic
1390C2×D4C23×D4311yescharacteristic
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—431no—
1395C22×C4—431no—
1396C22×C4—431no—
1397C22×C4—431no—
1398C22×C4—431no—
1399C22×C4—431no—
1400C22×C4—431no—
1401C22×C4—431no—
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—861no—
1412C22×C4—3442no—
1413C22×C4C23×D4311yescharacteristic
1414Q16—862no—
1415Q16—862no—
1416Q16—862no—
1417SD16—22no—
1418SD16—22no—
1419SD16—862no—
1420SD16—862no—
1421SD16—862no—
1422SD16—862no—
1423SD16—862no—
1424SD16—862no—
1425SD16—862no—
1426SD16—862no—
1427D8—22no—
1428D8—22no—
1429D8—862no—
1430M16—22no—
1431M16—434no—
1432M16—862no—
1433M16—862no—
1434M16—862no—
1435M16—862no—
1436C2×C8—22no—
1437C2×C8—431no—
1438C2×C8—431no—
1439C2×C8—434no—
1440C2×C8—431no—
1441C2×C8—431no—
1442C2×C8—862no—
1443C2×C8—862no—
1444C2×C8—862no—
1445C2×C8—862no—
1446C2×C8C23×D4311yescharacteristic
1447C2×C8C23×D4311yescharacteristic
1448C2×C8C23×D4311yescharacteristic
1449C2×C8C23×D4311yescharacteristic
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—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⋊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⋊C4—861no—
1490C4⋊C4—861no—
1491C4⋊C4—861no—
1492C4⋊C4D4×D4311yescharacteristic
1493C4⋊C4D4×D4311yescharacteristic
1494C4⋊C4C23×D4311yescharacteristic
1495C4⋊C4C23×D4311yescharacteristic
1496C4⋊C4C23×D4311yescharacteristic
1497C4⋊C4C23×D4311yescharacteristic
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
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⋊C4D4×D4311yescharacteristic
1537C22⋊C4D4×D4311yescharacteristic
1538C42—21no—
1539C42—431no—
1540C42—431no—
1541C42—431no—
1542C42—431no—
1543C42—431no—
1544C42—431no—
1545C42—431no—
1546C42—431no—
1547C42—861no—
1548C42—861no—
1549C42—861no—
1550C42—861no—
1551C42—861no—
1552C42—861no—
1553C42—861no—
1554C42—861no—
1555C42—861no—
1556C42C23×D4311yescharacteristic
1557C42C23×D4311yescharacteristic
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—431no—
1562C23—431no—
1563C23—861no—
1564C23—3441no—
1565C23—3441no—
1566C23—1722no—
1567C23C2×D4×D4311yescharacteristic
1568Q8—21no—
1569Q8—21no—
1570Q8—81no—
1571Q8—862no—
1572Q8—861no—
1573Q8—861no—
1574Q8—861no—
1575Q8—861no—
1576Q8—861no—
1577Q8—861no—
1578Q8—3441no—
1579Q8—3441no—
1580Q8—3441no—
1581Q8—1722no—
1582D4—21no—
1583D4—21no—
1584D4—21no—
1585D4—21no—
1586D4—21no—
1587D4—21no—
1588D4—81no—
1589D4—81no—
1590D4—81no—
1591D4—81no—
1592D4—81no—
1593D4—862no—
1594D4—862no—
1595D4—862no—
1596D4—861no—
1597D4—861no—
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—81no—
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—861no—
1627C2×C4—861no—
1628C2×C4—861no—
1629C2×C4—861no—
1630C2×C4—861no—
1631C2×C4—861no—
1632C2×C4—861no—
1633C2×C4—861no—
1634C2×C4—861no—
1635C2×C4—3441no—
1636C2×C4—3441no—
1637C2×C4—3441no—
1638C2×C4—1721no—
1639C2×C4—1721no—
1640C2×C4—1721no—
1641C2×C4—1721no—
1642C2×C4—1722no—
1643C2×C4—1722no—
1644C2×C4—1722no—
1645C2×C4—1722no—
1646C2×C4—1721no—
1647C2×C4—1721no—
1648C2×C4—1722no—
1649C2×C4—1722no—
1650C2×C4—1722no—
1651C2×C4C2×D4×D4311yescharacteristic
1652C2×C4C2×D4×D4311yescharacteristic
1653C2×C4C2×D4×D4311yescharacteristic
1654C2×C4C2×D4×D4311yescharacteristic
1655C2×C4C2×D4×D4311yescharacteristic
1656C2×C4C24×D4311yescharacteristic
1657C8—21no—
1658C8—21no—
1659C8—432no—
1660C8—432no—
1661C8—861no—
1662C8—861no—
1663C8#41×D4312yes—
1664C8#41×D4312yes—
1665C22—21no—
1666C22—21no—
1667C22—21no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—432no—
1678C22—861no—
1679C22—861no—
1680C22—861no—
1681C22—861no—
1682C22—861no—
1683C22—3444no—
1684C22—1721no—
1685C22—1721no—
1686C22—1721no—
1687C22C22×D4×D4311yescharacteristic
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—432no—
1699C4—861no—
1700C4—861no—
1701C4—861no—
1702C4—861no—
1703C4—861no—
1704C4—1721no—
1705C4—1721no—
1706C4—1721no—
1707C4—1721no—
1708C4—1721no—
1709C4—1721no—
1710C4—1721no—
1711C4C2×#41×D4311yescharacteristic
1712C4C2×#41×D4311yescharacteristic
1713C2—41no—
1714C2—81no—
1715C2—81no—
1716C2—81no—
1717C2—862no—
1718C2—3441no—
1719C2—1721no—
1720C2#532×D4311yescharacteristic
1721C2#1914937011yescharacteristic
1722C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3179C2
socleC22×C43C23×D4
hypercenter#3179D43
hypocenterC43#60697
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3179

Complements

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

NH ≅ G/Ntype
1. #19148021C2semidirect
2. #19148010C2semidirect
3. #19145323C2semidirect
4. #19145319C2semidirect
5. #19145312C2semidirect
6. #19145308C2semidirect
7. #19145306C2semidirect
8. #19145297C2semidirect
9. #19145290C2semidirect
10. #19145288C2semidirect
11. #19145284C2semidirect
12. #19145263C2semidirect
13. #19145261C2semidirect
14. #19145230C2semidirect
15. #19145228C2semidirect
16. #19145219C2semidirect
17. #19145217C2semidirect
18. #19145130C2semidirect
19. #19145068C2semidirect
20. #19144959C2semidirect
21. #19144944C2semidirect
22. #19144281C2semidirect
23. #19144272C2semidirect
24. #19144260C2semidirect
25. #19144229C2semidirect
26. C4×#13063354C2semidirect
27. C4×#13063349C2semidirect
28. #19143392C2semidirect
29. #440×D43C2semidirect
30. #19143022C2semidirect
31. C43×#3179C2semidirect
43. #14583514C22semidirect
45. #14583511C22semidirect
46. #14583507C22semidirect
60. #14583454C22semidirect
62. #14583451C22semidirect
69. #14583430C22semidirect
71. #14583428C22semidirect
81. #14583308C22semidirect
82. #14583307C22semidirect
83. #14583306C22semidirect
84. #14583303C22semidirect
85. #14583302C22semidirect
86. #14583299C22semidirect
87. #14583298C22semidirect
95. #14583269C22semidirect
96. #14583266C22semidirect
100. #14583258C22semidirect
102. #14583257C22semidirect
105. #14583252C22semidirect
106. #14583250C22semidirect
107. #14583248C22semidirect
109. #14583157C22semidirect
110. #14583156C22semidirect
117. #14583144C22semidirect
118. #14583144C22semidirect
119. #14583144C22semidirect
121. #14583143C22semidirect
122. #14583143C22semidirect
123. #14583141C22semidirect
124. #14583141C22semidirect
125. #14583140C22semidirect
126. #14583138C22semidirect
129. #14583132C22semidirect
134. #14583126C22semidirect
136. #14583125C22semidirect
138. #14583011C22semidirect
140. #14583007C22semidirect
141. #14583005C22semidirect
142. #14583005C22semidirect
143. #14583003C22semidirect
147. #14583000C22semidirect
149. #14582999C22semidirect
150. #14582999C22semidirect
156. #14582996C22semidirect
157. #14582996C22semidirect
158. #14582996C22semidirect
159. C4×Dic172C22semidirect
160. C4×#10621885C22semidirect
163. C4×#10621883C22semidirect
178. #14582856C22semidirect
179. #14582855C22semidirect
181. #14582853C22semidirect
182. M16×Dic43C22semidirect
184. C4×#10621872C22semidirect
185. C2×#13063235C22semidirect
187. #97×D43C22semidirect
188. C43×#542C22semidirect
190. C43×#501C22semidirect
192. C43×#488C22semidirect
195. C43×#468C22semidirect
196. C43×#466C22semidirect
198. C43×#442C22semidirect
200. C4×SD16×C43C22semidirect
202. C43×#405C22semidirect
691. #10621872#41semidirect
695. C8×D43#41semidirect
863. #3179D43semidirect
906. #542C2×D43semidirect
947. #501C2×D43semidirect
971. #488C2×D43semidirect
991. #468C2×D43semidirect
999. #466C2×D43semidirect
1011. #442C2×D43semidirect
1037. C4×SD16C2×D43semidirect
1057. #405C2×D43semidirect
1064. C43#60697semidirect

Maximal subgroups

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

subgroupindex
#191480212
#191480102
#191453232
#191453192
#191453122
#191453082
#191453062
#191452972
#191452902
#191452882
#191452842
#191452632
#191452612
#191452302
#191452282
#191452192
#191452172
#191451302
#191450682
#191449592
#191449442
#191442812
#191442722
#191442602
#191442292
C4×#130633542
C4×#130633492
#191433922
#440×D432
#191430222
C43×#31792
#6069743