Finite Group Databasebeta

← #25966639

Subgroups — #25966639

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#19148020C211yesmaximal, characteristic, complemented
2#19148009C211yesmaximal, characteristic, complemented
3#19145322C211yesmaximal, characteristic, complemented
4#19145318C211yesmaximal, characteristic, complemented
5#19145310C211yesmaximal, characteristic, complemented
6#19145309C211yesmaximal, characteristic, complemented
7#19145304C211yesmaximal, characteristic, complemented
8#19145300C211yesmaximal, characteristic, complemented
9#19145291C211yesmaximal, characteristic, complemented
10#19145281C211yesmaximal, characteristic, complemented
11#19145275C211yesmaximal, characteristic, complemented
12#19145268C211yesmaximal, characteristic, complemented
13#19145258C211yesmaximal, characteristic, complemented
14#19145233C211yesmaximal, characteristic, complemented
15#19145227C211yesmaximal, characteristic, complemented
16#19145222C211yesmaximal, characteristic, complemented
17#19145216C211yesmaximal, characteristic, complemented
18#19145130C211yesmaximal, characteristic, complemented
19#19145068C211yesmaximal, characteristic, complemented
20#19144957C211yesmaximal, characteristic, complemented
21#19144950C211yesmaximal, characteristic, complemented
22#19144279C211yesmaximal, characteristic, complemented
23#19144274C211yesmaximal, characteristic, complemented
24#19144260C211yesmaximal, characteristic, complemented
25#19144229C211yesmaximal, characteristic, complemented
26#19143417C211yesmaximal, characteristic, complemented
27#19143406C211yesmaximal, characteristic, complemented
28#19143392C211yesmaximal, characteristic, complemented
29#440×D43C211yesmaximal, characteristic, complemented
30#19143020C211yesmaximal, characteristic, complemented
31C43×#3180C211yesmaximal, characteristic, complemented
32C2×#13063354C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063344C2211yescharacteristic
35C2×SD16×D43C2211yescharacteristic
36C2×#13063331C2211yescharacteristic
37C2×#13063331C2211yescharacteristic
38#14583529C2211yescharacteristic
39#14583526C2211yescharacteristic
40#14583523C2211yescharacteristic
41#14583518C2211yescharacteristic, complemented
42#14583517—21no—
43#14583516C2211yescharacteristic
44#14583516C2211yescharacteristic, complemented
45#14583513—21no—
46#14583512C2211yescharacteristic, complemented
47#14583509C2211yescharacteristic, complemented
48#14583506—21no—
49#14583503C2211yescharacteristic
50#14583502C2211yescharacteristic
51#14583499—21no—
52#14583492—21no—
53#14583490—21no—
54#14583483—21no—
55#14583481—21no—
56#14583478C2211yescharacteristic
57#14583478C2211yescharacteristic
58#14583472C2211yescharacteristic
59#14583469C2211yescharacteristic
60#14583465C2211yescharacteristic
61#14583462C2211yescharacteristic
62#14583456C2211yescharacteristic, complemented
63#14583453C2211yescharacteristic, complemented
64#14583452—21no—
65#14583446C2211yescharacteristic
66#14583445—21no—
67#14583433C2211yescharacteristic
68#14583431—21no—
69#14583431C2211yescharacteristic
70#14583431C2211yescharacteristic, complemented
71#14583429—21no—
72#14583429—21no—
73#14583427—21no—
74#14583408—21no—
75#14583406—21no—
76C4×#10621898C2211yescharacteristic
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#14583268C2211yescharacteristic, complemented
96#14583266C2211yescharacteristic, complemented
97#14583262C2211yescharacteristic
98#14583259C2211yescharacteristic
99#14583257C2211yescharacteristic
100#14583257C2211yescharacteristic, complemented
101#14583256C2211yescharacteristic
102#14583253C2211yescharacteristic, complemented
103#14583252C2211yescharacteristic
104#14583252C2211yescharacteristic, complemented
105#14583251C2211yescharacteristic, complemented
106#14583248C2211yescharacteristic, complemented
107#14583245C2211yescharacteristic
108#14583244C2211yescharacteristic
109#14583158C2211yescharacteristic, complemented
110#14583155C2211yescharacteristic, complemented
111#14583150C2211yescharacteristic
112#14583149C2211yescharacteristic
113#14583148C2211yescharacteristic
114#14583147C2211yescharacteristic
115#14583146C2211yescharacteristic
116#14583144C2211yescharacteristic
117#14583144C2211yescharacteristic, complemented
118#14583144C2211yescharacteristic, complemented
119#14583143C2211yescharacteristic
120#14583143C2211yescharacteristic
121#14583143C2211yescharacteristic, complemented
122#14583143C2211yescharacteristic, complemented
123#14583143C2211yescharacteristic, complemented
124#14583142C2211yescharacteristic, complemented
125#14583141C2211yescharacteristic, complemented
126#14583140C2211yescharacteristic, complemented
127#14583140C2211yescharacteristic, complemented
128#14583139C2211yescharacteristic, complemented
129#14583134C2211yescharacteristic
130#14583132C2211yescharacteristic, complemented
131#14583129C2211yescharacteristic
132#14583128C2211yescharacteristic
133#14583128C2211yescharacteristic
134#14583127C2211yescharacteristic
135#14583127C2211yescharacteristic, complemented
136#14583125C2211yescharacteristic
137#14583011C2211yescharacteristic, complemented
138#14583009C2211yescharacteristic
139#14583007C2211yescharacteristic, complemented
140#14583007C2211yescharacteristic, complemented
141#14583005C2211yescharacteristic, complemented
142#14583004C2211yescharacteristic, complemented
143#14583002C2211yescharacteristic
144#14583001C2211yescharacteristic
145#14583001C2211yescharacteristic
146#14583000C2211yescharacteristic
147#14582999C2211yescharacteristic
148#14582999C2211yescharacteristic
149#14582999C2211yescharacteristic, complemented
150#14582999C2211yescharacteristic, complemented
151#14582999C2211yescharacteristic, complemented
152#14582998C2211yescharacteristic
153#14582997C2211yescharacteristic
154#14582996C2211yescharacteristic
155#14582996C2211yescharacteristic, complemented
156#14582996C2211yescharacteristic, complemented
157#14582993C2211yescharacteristic, complemented
158#14582991C2211yescharacteristic, complemented
159#14582990C2211yescharacteristic
160#14582990C2211yescharacteristic, complemented
161SD16×Dic43C2211yescharacteristic, complemented
162#14582986C2211yescharacteristic
163D8×Dic43C2211yescharacteristic
164#14582979C2211yescharacteristic
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
179#14582856C2211yescharacteristic, complemented
180#14582856C2211yescharacteristic, complemented
181#14582854C2211yescharacteristic, complemented
182#14582854C2211yescharacteristic, complemented
183C4×#10621877C2211yescharacteristic, complemented
184#14582851C2211yescharacteristic
185#14582851C2211yescharacteristic, complemented
186#97×D43C2211yescharacteristic
187#97×D43C2211yescharacteristic, complemented
188C43×#532C2211yescharacteristic
189C43×#529C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic
192C43×#490C2211yescharacteristic
193C43×#489C2211yescharacteristic, complemented
194C43×#466C2211yescharacteristic
195C43×#466C2211yescharacteristic, complemented
196C43×#465C2211yescharacteristic
197C43×#465C2211yescharacteristic, complemented
198C43×#442C2211yescharacteristic
199C43×#442C2211yescharacteristic, complemented
200C43×#440C2211yescharacteristic
201C43×#440C2211yescharacteristic, complemented
202C2×#97×C43C2211yescharacteristic, complemented
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621900C2311yescharacteristic
206C2×#10621900C2311yescharacteristic
207C2×Q8×D43C2311yescharacteristic
208C2×D4×D43C2311yescharacteristic
209C22×C4×D43—21no—
210#13063354—24no—
211#13063349—24no—
212#13063344—24no—
213C2×Dic172C2311yescharacteristic
214C2×Dic172C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224SD16×D43—24no—
225C2×#10621882C2311yescharacteristic
226#13063331—24no—
227#13063331—24no—
228C2×#10621877C2311yescharacteristic
229C2×#10621877C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233C2×#10621872C2311yescharacteristic
234C2×C8×D43C2311yescharacteristic
235C2×C8×D43C2311yescharacteristic
236C2×C8×D43C2311yescharacteristic
237C2×C8×D43C2311yescharacteristic
238#13063325C2311yescharacteristic
239#13063325C2311yescharacteristic
240#13063324—21no—
241#13063324—21no—
242#13063324C2311yescharacteristic
243#13063324C2311yescharacteristic
244#13063323—21no—
245#13063323C2311yescharacteristic
246#13063321—21no—
247#13063321C2311yescharacteristic
248#13063320—21no—
249#13063320—21no—
250#13063320—21no—
251#13063319—21no—
252#13063318—21no—
253#13063318—21no—
254#13063318—21no—
255#13063318—21no—
256#13063318—21no—
257#13063318—21no—
258#13063318—21no—
259#13063317—21no—
260#13063317C2311yescharacteristic
261#13063316—21no—
262#13063316—21no—
263#13063316—21no—
264#13063316C2311yescharacteristic
265#13063316C2311yescharacteristic
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063315—21no—
270#13063314—21no—
271#13063313C2311yescharacteristic
272#13063312—21no—
273#13063312—21no—
274#13063312C2311yescharacteristic
275#13063312C2311yescharacteristic
276#13063311—21no—
277#13063311—21no—
278#13063311—21no—
279#13063311—21no—
280#13063310—21no—
281#13063310—21no—
282#13063309—21no—
283#13063309—21no—
284#13063308—21no—
285#13063307—21no—
286#13063307—21no—
287#13063307—21no—
288#13063307—21no—
289#13063307—21no—
290#13063307—21no—
291#13063306—21no—
292#13063306—21no—
293#13063306—21no—
294#13063306—21no—
295#13063305—21no—
296#13063305C2311yescharacteristic
297#13063305C2311yescharacteristic
298#13063305C2311yescharacteristic
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#13063302—21no—
312#13063302—21no—
313#13063301—21no—
314#13063301—21no—
315#13063301C2311yescharacteristic
316#13063300C2311yescharacteristic
317#13063299C2311yescharacteristic
318#13063298—21no—
319#13063298—21no—
320#13063298—21no—
321#13063297—21no—
322#13063297—21no—
323#13063297—21no—
324#13063297—21no—
325#13063297—21no—
326#13063297—21no—
327#13063297—21no—
328#13063296—21no—
329#13063296—21no—
330#13063296—21no—
331#13063296C2311yescharacteristic
332#13063296C2311yescharacteristic
333#13063296C2311yescharacteristic
334#13063295—21no—
335#13063293—21no—
336#13063293—21no—
337#13063293—21no—
338Q8×Dic43C2311yescharacteristic
339C4×Dic86—21no—
340C4×Dic86—21no—
341C4×Dic86—21no—
342C4×Dic86D411yescharacteristic
343C4×Dic86D411yescharacteristic
344C4×Dic86C2311yescharacteristic
345C4×Dic86C2311yescharacteristic
346C4×Dic86C2311yescharacteristic
347#13063290—21no—
348#13063290C2311yescharacteristic
349#13063290C2311yescharacteristic
350#13063290C2311yescharacteristic
351C4×D172D411yescharacteristic
352C4×D172D411yescharacteristic
353C4×D172C2311yescharacteristic
354D4×Dic43C2311yescharacteristic
355D4×Dic43C2311yescharacteristic
356D4×Dic43C2311yescharacteristic
357#13063287C2311yescharacteristic
358C4×C22⋊D43—21no—
359C4×C22⋊D43—21no—
360C4×C22⋊D43—21no—
361C4×C22⋊D43—21no—
362C4×C22⋊D43—21no—
363C4×C22⋊D43—21no—
364C4×C22⋊D43—21no—
365C4×C22⋊D43D411yescharacteristic
366C4×C22⋊D43D411yescharacteristic
367C4×C22⋊D43D411yescharacteristic
368C4×C22⋊D43D411yescharacteristic
369(C22⋊D43)⋊C4—21no—
370(C22⋊D43)⋊C4—21no—
371(C22⋊D43)⋊C4—21no—
372#13063284—21no—
373#13063284—21no—
374#13063284—21no—
375#13063284C2311yescharacteristic
376#13063283C2311yescharacteristic
377#13063283C2311yescharacteristic
378#13063282—21no—
379#13063282—21no—
380#13063282C2311yescharacteristic
381#13063282C2311yescharacteristic
382#13063281—21no—
383#13063281—21no—
384C4⋊C4×D43—21no—
385C4⋊C4×D43C2311yescharacteristic
386C4⋊C4×D43C2311yescharacteristic
387C22⋊C4×D43—21no—
388C2×C4×Dic43—21no—
389C2×C4×Dic43—21no—
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
435C4×C43⋊C8C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C8×Dic43C2311yescharacteristic
439C8×Dic43C2311yescharacteristic
440C8×Dic43C2311yescharacteristic
441C2×#41×C43—21no—
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445C2×D8×C43C2311yescharacteristic
446C22×C8×C43C2311yescharacteristic
447C22×C8×C43C2311yescharacteristic
448C4⋊Q8×C43C2311yescharacteristic
449#127×C43C2311yescharacteristic
450#126×C43—21no—
451#125×C43C2311yescharacteristic
452#124×C43—21no—
453#124×C43C2311yescharacteristic
454#123×C43—21no—
455C22⋊Q8×C43C2311yescharacteristic
456#121×C43—21no—
457#121×C43C2311yescharacteristic
458#121×C43C2311yescharacteristic
459#121×C43C2311yescharacteristic
460C4×Q8×C43C2311yescharacteristic
461C4×D4×C43—21no—
462C4×D4×C43—21no—
463C4×D4×C43C2311yescharacteristic
464C4×D4×C43C2311yescharacteristic
465C4×D4×C43C2311yescharacteristic
466#117×C43—21no—
467C2×C42×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
482#97×C43C2311yescharacteristic
483#97×C43C2311yescharacteristic
484C23×D43—21no—
485#41×C43—82no—
486C2×Q8×C43—21no—
487C2×Q8×C43C2411yescharacteristic
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43C2411yescharacteristic
494C2×D4×C43C2411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43C2×D411yescharacteristic
500C22×C4×C43C2×D411yescharacteristic
501C22×C4×C43C2411yescharacteristic
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43C2×D411yescharacteristic
512C2×C22⋊D43C2×D411yescharacteristic
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518Q8×D43—22no—
519Q8×D43—22no—
520#10621900—22no—
521#10621900—22no—
522#10621900—22no—
523#10621900—22no—
524D4×D43—22no—
525D4×D43—22no—
526#10621898—22no—
527#10621898—22no—
528#10621898—82no—
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—
556C2×C8×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×C43C2411yescharacteristic
568C4⋊C4×C43C2411yescharacteristic
569C4⋊C4×C43C2411yescharacteristic
570C4⋊C4×C43C2411yescharacteristic
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43—21no—
574C22⋊C4×C43—21no—
575C22⋊C4×C43—21no—
576C22⋊C4×C43—21no—
577C22⋊C4×C43—21no—
578C22⋊C4×C43—21no—
579C22⋊C4×C43—21no—
580C42×C43—21no—
581C42×C43C2×D411yescharacteristic
582C42×C43C2×D411yescharacteristic
583C42×C43C2411yescharacteristic
584C42×C43C2411yescharacteristic
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43—21no—
590C22⋊Dic43—21no—
591C22⋊Dic43—21no—
592C22⋊Dic43—21no—
593C22⋊Dic43—21no—
594C22⋊Dic43—21no—
595C22⋊Dic43—21no—
596C22⋊Dic43—21no—
597C22⋊Dic43—21no—
598C22⋊Dic43C2×D411yescharacteristic
599C22⋊Dic43C2×D411yescharacteristic
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⋊Dic43C2×D411yescharacteristic
634C4⋊Dic43C2×D411yescharacteristic
635C4⋊Dic43C2411yescharacteristic
636C4⋊Dic43C2411yescharacteristic
637C4⋊Dic43C2411yescharacteristic
638C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4C2×D411yescharacteristic
660Dic43⋊C4C2×D411yescharacteristic
661Dic43⋊C4C2×D411yescharacteristic
662Dic43⋊C4C2×D411yescharacteristic
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43C2×D411yescharacteristic
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2×D411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678#10621877—22no—
679#10621877—22no—
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684Dic172—22no—
685Dic172—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—41no—
728C2×C4×C43—41no—
729C2×C4×C43—42no—
730C2×C4×C43—42no—
731C2×C4×C43—42no—
732C2×C4×C43C22×D411yescharacteristic
733C2×C4×C43C22×D411yescharacteristic
734C2×C4×C43C22×D411yescharacteristic
735C2×C4×C43C22×D411yescharacteristic
736C2×C4×C43C22×D411yescharacteristic
737C2×C4×C43C2511yescharacteristic
738C22⋊D43—22no—
739C22⋊D43—22no—
740C22⋊D43—42no—
741C22⋊D43—42no—
742C22⋊D43—42no—
743C22⋊D43—81no—
744C22⋊D43—81no—
745C22⋊D43—81no—
746C22⋊D43—81no—
747C22⋊D43—81no—
748C22⋊D43—81no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—42no—
757C2×Dic43—42no—
758C2×Dic43—81no—
759C2×Dic43—81no—
760C2×Dic43—81no—
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#3180D4311yescharacteristic, complemented
862#3179—431no—
863#3179—431no—
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—431no—
905#542—861no—
906#542—861no—
907#541—431no—
908#541—431no—
909#541—861no—
910#540—431no—
911#540—431no—
912#540—861no—
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—861no—
928#532C2×D4311yescharacteristic
929#529—431no—
930#529—431no—
931#529—431no—
932#529—861no—
933#529—861no—
934#529—861no—
935#529—861no—
936#529C2×D4311yescharacteristic, complemented
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#490C2×D4311yescharacteristic
964#489—431no—
965#489—431no—
966#489—431no—
967#489C2×D4311yescharacteristic, complemented
968#488—431no—
969#488—431no—
970#488—431no—
971#488—431no—
972#487—431no—
973#487—431no—
974#486—431no—
975#486—431no—
976#470—431no—
977#470—431no—
978#469—431no—
979#469—431no—
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#468—431no—
992#467—431no—
993#467—431no—
994#467—431no—
995#467—431no—
996#466—431no—
997#466—431no—
998#466C2×D4311yescharacteristic
999#466C2×D4311yescharacteristic, complemented
1000#465—431no—
1001#465—431no—
1002#465—431no—
1003#465—431no—
1004#465—431no—
1005#465—431no—
1006#465C2×D4311yescharacteristic
1007#465C2×D4311yescharacteristic, complemented
1008#442—431no—
1009#442—431no—
1010#442C2×D4311yescharacteristic
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#440C2×D4311yescharacteristic
1031#440C2×D4311yescharacteristic, complemented
1032C4×Q16—431no—
1033C4×Q16—431no—
1034C4×SD16—431no—
1035C4×SD16—431no—
1036C4×SD16—431no—
1037C4×SD16—431no—
1038C4×D8—431no—
1039C4×D8—431no—
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#405—431no—
1058C4×M16—431no—
1059C4×M16—431no—
1060C4×M16—431no—
1061C2×#97—431no—
1062C2×#97—431no—
1063C2×#97C2×D4311yescharacteristic, complemented
1064C43#6069711yescharacteristic, complemented, Sylow
1065C2×#41—21no—
1066C2×#41—431no—
1067C2×#41—431no—
1068C2×#41—431no—
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×M16—431no—
1101C22×C8—431no—
1102C22×C8—431no—
1103C22×C8—431no—
1104C22×C8—431no—
1105C22×C8C22×D4311yescharacteristic
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—861no—
1157#123—861no—
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—431no—
1172C22⋊Q8—431no—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—431no—
1176C22⋊Q8—431no—
1177C22⋊Q8—431no—
1178C22⋊Q8—861no—
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—431no—
1195#121—431no—
1196#121—431no—
1197#121—431no—
1198#121—431no—
1199#121—861no—
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—21no—
1234C4×D4—21no—
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—431no—
1245C4×D4—431no—
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—21no—
1260#117—431no—
1261#117—431no—
1262#117—431no—
1263#117—431no—
1264#117—431no—
1265#117—861no—
1266#117—861no—
1267#117—861no—
1268#117—861no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272C2×C4⋊C4—431no—
1273C2×C4⋊C4—431no—
1274C2×C4⋊C4—861no—
1275C2×C22⋊C4—861no—
1276C2×C42—431no—
1277C2×C42—431no—
1278C2×C42—861no—
1279C2×C42—861no—
1280C2×C42—861no—
1281C2×C42C22×D4311yescharacteristic
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#97C22×D4311yescharacteristic
1337#97C22×D4311yescharacteristic
1338#97C22×D4311yescharacteristic
1339#97C22×D4311yescharacteristic
1340C4×C8—431no—
1341C4×C8—431no—
1342C4×C8—431no—
1343C4×C8—431no—
1344C4×C8—431no—
1345C4×C8—431no—
1346C24—861no—
1347#41—82no—
1348#41—862no—
1349#41—862no—
1350#41—862no—
1351#41—862no—
1352#41—862no—
1353#41—862no—
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—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—3442no—
1411C22×C4D4×D4311yescharacteristic
1412C22×C4D4×D4311yescharacteristic
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—434no—
1431M16—862no—
1432M16—862no—
1433M16—862no—
1434M16—862no—
1435M16—862no—
1436C2×C8—22no—
1437C2×C8—22no—
1438C2×C8—431no—
1439C2×C8—431no—
1440C2×C8—434no—
1441C2×C8—431no—
1442C2×C8—431no—
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—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⋊C4—861no—
1490C4⋊C4—861no—
1491C4⋊C4—861no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
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—431no—
1512C22⋊C4—431no—
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—
1538C42—21no—
1539C42—431no—
1540C42—431no—
1541C42—431no—
1542C42—431no—
1543C42—431no—
1544C42—431no—
1545C42—861no—
1546C42—861no—
1547C42—861no—
1548C42—861no—
1549C42—861no—
1550C42—861no—
1551C42—861no—
1552C42—861no—
1553C42—861no—
1554C42D4×D4311yescharacteristic
1555C42D4×D4311yescharacteristic
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—41no—
1616C2×C4—41no—
1617C2×C4—42no—
1618C2×C4—42no—
1619C2×C4—42no—
1620C2×C4—431no—
1621C2×C4—432no—
1622C2×C4—432no—
1623C2×C4—431no—
1624C2×C4—431no—
1625C2×C4—431no—
1626C2×C4—431no—
1627C2×C4—431no—
1628C2×C4—861no—
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×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#1914937111yescharacteristic
1722C2#1914937911yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3180C2
socleC22×C43C23×D4
hypercenter#3180D43
hypocenterC43#60697
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3180

Complements

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

NH ≅ G/Ntype
1. #19148020C2semidirect
2. #19148009C2semidirect
3. #19145322C2semidirect
4. #19145318C2semidirect
5. #19145310C2semidirect
6. #19145309C2semidirect
7. #19145304C2semidirect
8. #19145300C2semidirect
9. #19145291C2semidirect
10. #19145281C2semidirect
11. #19145275C2semidirect
12. #19145268C2semidirect
13. #19145258C2semidirect
14. #19145233C2semidirect
15. #19145227C2semidirect
16. #19145222C2semidirect
17. #19145216C2semidirect
18. #19145130C2semidirect
19. #19145068C2semidirect
20. #19144957C2semidirect
21. #19144950C2semidirect
22. #19144279C2semidirect
23. #19144274C2semidirect
24. #19144260C2semidirect
25. #19144229C2semidirect
26. #19143417C2semidirect
27. #19143406C2semidirect
28. #19143392C2semidirect
29. #440×D43C2semidirect
30. #19143020C2semidirect
31. C43×#3180C2semidirect
41. #14583518C22semidirect
44. #14583516C22semidirect
46. #14583512C22semidirect
47. #14583509C22semidirect
62. #14583456C22semidirect
63. #14583453C22semidirect
70. #14583431C22semidirect
81. #14583308C22semidirect
82. #14583307C22semidirect
83. #14583306C22semidirect
84. #14583303C22semidirect
85. #14583302C22semidirect
86. #14583299C22semidirect
87. #14583298C22semidirect
95. #14583268C22semidirect
96. #14583266C22semidirect
100. #14583257C22semidirect
102. #14583253C22semidirect
104. #14583252C22semidirect
105. #14583251C22semidirect
106. #14583248C22semidirect
109. #14583158C22semidirect
110. #14583155C22semidirect
117. #14583144C22semidirect
118. #14583144C22semidirect
121. #14583143C22semidirect
122. #14583143C22semidirect
123. #14583143C22semidirect
124. #14583142C22semidirect
125. #14583141C22semidirect
126. #14583140C22semidirect
127. #14583140C22semidirect
128. #14583139C22semidirect
130. #14583132C22semidirect
135. #14583127C22semidirect
137. #14583011C22semidirect
139. #14583007C22semidirect
140. #14583007C22semidirect
141. #14583005C22semidirect
142. #14583004C22semidirect
149. #14582999C22semidirect
150. #14582999C22semidirect
151. #14582999C22semidirect
155. #14582996C22semidirect
156. #14582996C22semidirect
157. #14582993C22semidirect
158. #14582991C22semidirect
160. #14582990C22semidirect
161. SD16×Dic43C22semidirect
179. #14582856C22semidirect
180. #14582856C22semidirect
181. #14582854C22semidirect
182. #14582854C22semidirect
183. C4×#10621877C22semidirect
185. #14582851C22semidirect
187. #97×D43C22semidirect
189. C43×#529C22semidirect
190. C43×#501C22semidirect
193. C43×#489C22semidirect
195. C43×#466C22semidirect
197. C43×#465C22semidirect
199. C43×#442C22semidirect
201. C43×#440C22semidirect
202. C2×#97×C43C22semidirect
691. #10621872#41semidirect
695. C8×D43#41semidirect
861. #3180D43semidirect
936. #529C2×D43semidirect
947. #501C2×D43semidirect
967. #489C2×D43semidirect
999. #466C2×D43semidirect
1007. #465C2×D43semidirect
1011. #442C2×D43semidirect
1031. #440C2×D43semidirect
1063. C2×#97C2×D43semidirect
1064. C43#60697semidirect

Maximal subgroups

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

subgroupindex
#191480202
#191480092
#191453222
#191453182
#191453102
#191453092
#191453042
#191453002
#191452912
#191452812
#191452752
#191452682
#191452582
#191452332
#191452272
#191452222
#191452162
#191451302
#191450682
#191449572
#191449502
#191442792
#191442742
#191442602
#191442292
#191434172
#191434062
#191433922
#440×D432
#191430202
C43×#31802
#6069743