Finite Group Databasebeta

← #25966816

Subgroups — #25966816

Order 11008.

1980 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148328C211yesmaximal, characteristic, complemented
2#19148322C211yesmaximal, characteristic, complemented
3#19145295C211yesmaximal, characteristic, complemented
4#19145291C211yesmaximal, characteristic, complemented
5#19145290C211yesmaximal, characteristic, complemented
6#19145289C211yesmaximal, characteristic, complemented
7#19145281C211yesmaximal, characteristic, complemented
8#19145278C211yesmaximal, characteristic, complemented
9#19145273C211yesmaximal, characteristic, complemented
10#19145240C211yesmaximal, characteristic, complemented
11#19145239C211yesmaximal, characteristic, complemented
12#19145229C211yesmaximal, characteristic, complemented
13#19145228C211yesmaximal, characteristic, complemented
14#19145173C211yesmaximal, characteristic, complemented
15#19145171C211yesmaximal, characteristic, complemented
16#19145164C211yesmaximal, characteristic, complemented
17#19145161C211yesmaximal, characteristic, complemented
18#19145130C211yesmaximal, characteristic, complemented
19#19145079C211yesmaximal, characteristic, complemented
20#19144948C211yesmaximal, characteristic, complemented
21#19144944C211yesmaximal, characteristic, complemented
22#19144213C211yesmaximal, characteristic, complemented
23#19144209C211yesmaximal, characteristic, complemented
24#19144171C211yesmaximal, characteristic, complemented
25#466×D43C211yesmaximal, characteristic, complemented
26#19143467C211yesmaximal, characteristic, complemented
27#19143444C211yesmaximal, characteristic, complemented
28#19143422C211yesmaximal, characteristic, complemented
29#19143420C211yesmaximal, characteristic, complemented
30#405×D43C211yesmaximal, characteristic, complemented
31C43×#3179C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33C2×#13063349C2211yescharacteristic
34C2×#13063346C2211yescharacteristic
35C2×D8×D43C2211yescharacteristic
36C2×M16×D43C2211yescharacteristic
37C22×C8×D43C2211yescharacteristic
38#14583613—21no—
39#14583611—21no—
40#14583600—21no—
41#14583594—21no—
42#14583594—21no—
43#14583592—21no—
44#14583577—21no—
45#14583576—21no—
46#14583574—21no—
47#14583572—21no—
48#14583551—21no—
49#14583547—21no—
50#14583546—21no—
51#14583542—21no—
52#14583541—21no—
53#14583538—21no—
54#14583529C2211yescharacteristic
55#14583526C2211yescharacteristic
56#14583522C2211yescharacteristic, complemented
57#14583520C2211yescharacteristic, complemented
58#14583516C2211yescharacteristic, complemented
59#14583504C2211yescharacteristic, complemented
60#14583502C2211yescharacteristic, complemented
61#14583502C2211yescharacteristic, complemented
62#14583467C2211yescharacteristic
63#14583462C2211yescharacteristic
64#14583450C2211yescharacteristic, complemented
65#14583447C2211yescharacteristic, complemented
66#14583446C2211yescharacteristic, complemented
67#14583446C2211yescharacteristic, complemented
68#14583436C2211yescharacteristic, complemented
69#14583434C2211yescharacteristic, complemented
70#14583431C2211yescharacteristic, complemented
71#14583428C2211yescharacteristic, complemented
72#14583412C2211yescharacteristic
73#14583409C2211yescharacteristic
74#121×D43C2211yescharacteristic
75#121×D43C2211yescharacteristic
76#14583381C2211yescharacteristic
77#14583378C2211yescharacteristic
78#14583371C2211yescharacteristic
79#14583371C2211yescharacteristic
80#117×D43C2211yescharacteristic
81#14583308C2211yescharacteristic, complemented
82#14583307C2211yescharacteristic, complemented
83#14583306C2211yescharacteristic, complemented
84#14583303C2211yescharacteristic, complemented
85#14583302C2211yescharacteristic, complemented
86#14583299C2211yescharacteristic, complemented
87#14583298C2211yescharacteristic, complemented
88#14583288C2211yescharacteristic, complemented
89#14583287C2211yescharacteristic, complemented
90#14583285C2211yescharacteristic, complemented
91#14583281C2211yescharacteristic, complemented
92#14583280C2211yescharacteristic, complemented
93#14583275C2211yescharacteristic, complemented
94#14583274C2211yescharacteristic, complemented
95#14583265C2211yescharacteristic, complemented
96#14583263C2211yescharacteristic, complemented
97#14583262C2211yescharacteristic, complemented
98#14583262C2211yescharacteristic, complemented
99#14583261C2211yescharacteristic, complemented
100#14583260C2211yescharacteristic, complemented
101#14583258C2211yescharacteristic, complemented
102#14583257C2211yescharacteristic, complemented
103#14583255C2211yescharacteristic, complemented
104#14583254C2211yescharacteristic, complemented
105#14583252C2211yescharacteristic, complemented
106#14583246C2211yescharacteristic, complemented
107#14583244C2211yescharacteristic, complemented
108#14583244C2211yescharacteristic, complemented
109#14583152C2211yescharacteristic, complemented
110#14583150C2211yescharacteristic, complemented
111#14583150C2211yescharacteristic, complemented
112#14583147C2211yescharacteristic, complemented
113#14583145C2211yescharacteristic, complemented
114#14583143C2211yescharacteristic, complemented
115#14583139C2211yescharacteristic, complemented
116#14583138C2211yescharacteristic, complemented
117#14583136C2211yescharacteristic
118#14583136C2211yescharacteristic, complemented
119#14583135C2211yescharacteristic
120#14583134C2211yescharacteristic
121#14583134C2211yescharacteristic
122#14583134C2211yescharacteristic, complemented
123#14583134C2211yescharacteristic, complemented
124#14583134C2211yescharacteristic, complemented
125#14583133C2211yescharacteristic
126#14583133C2211yescharacteristic
127#14583133C2211yescharacteristic, complemented
128#14583132C2211yescharacteristic
129#14583132C2211yescharacteristic, complemented
130#14583131C2211yescharacteristic, complemented
131#14583129C2211yescharacteristic, complemented
132#14583129C2211yescharacteristic, complemented
133#14583128C2211yescharacteristic, complemented
134#14583127C2211yescharacteristic, complemented
135#14583125C2211yescharacteristic, complemented
136#14583125C2211yescharacteristic, complemented
137#14583012C2211yescharacteristic, complemented
138#14583011C2211yescharacteristic, complemented
139#14583011C2211yescharacteristic, complemented
140#14583010C2211yescharacteristic, complemented
141#14583010C2211yescharacteristic, complemented
142#14583009C2211yescharacteristic, complemented
143#14583009C2211yescharacteristic, complemented
144#14583001C2211yescharacteristic, complemented
145#14583000C2211yescharacteristic, complemented
146#14583000C2211yescharacteristic, complemented
147#14582999C2211yescharacteristic, complemented
148#14582998C2211yescharacteristic, complemented
149#14582998C2211yescharacteristic, complemented
150#14582997C2211yescharacteristic, complemented
151C4×#10621885C2211yescharacteristic, complemented
152#14582991C2211yescharacteristic, complemented
153#14582990C2211yescharacteristic, complemented
154C4×#10621873C2211yescharacteristic, complemented
155#14582984C2211yescharacteristic, complemented
156C4×D344C2211yescharacteristic, complemented
157C4×#10621882C2211yescharacteristic, complemented
158C4×#10621882C2211yescharacteristic, complemented
159C4×#10621882C2211yescharacteristic, complemented
160#14582979C2211yescharacteristic, complemented
161#14582979C2211yescharacteristic, complemented
162#14582979C2211yescharacteristic, complemented
163#14582979C2211yescharacteristic, complemented
164#14582979C2211yescharacteristic, complemented
165#14582940C2211yescharacteristic
166#14582938C2211yescharacteristic
167#14582934C2211yescharacteristic
168#107×D43C2211yescharacteristic
169#14582902C2211yescharacteristic
170#14582902C2211yescharacteristic
171#14582899C2211yescharacteristic
172#14582897C2211yescharacteristic
173#14582894C2211yescharacteristic
174#14582892C2211yescharacteristic
175#102×D43C2211yescharacteristic
176#102×D43C2211yescharacteristic
177#14582857C2211yescharacteristic, complemented
178#14582856C2211yescharacteristic
179#14582856C2211yescharacteristic
180#14582855C2211yescharacteristic, complemented
181#14582854C2211yescharacteristic, complemented
182#14582853C2211yescharacteristic
183#14582853C2211yescharacteristic
184#97×D43C2211yescharacteristic, complemented
185#97×D43C2211yescharacteristic, complemented
186C4×C8×D43C2211yescharacteristic, complemented
187C4×C8×D43C2211yescharacteristic, complemented
188C43×#542C2211yescharacteristic, complemented
189C43×#540C2211yescharacteristic, complemented
190C43×#501C2211yescharacteristic, complemented
191C43×#496C2211yescharacteristic, complemented
192C43×#488C2211yescharacteristic, complemented
193C43×#486C2211yescharacteristic, complemented
194C43×#469C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic, complemented
196C43×#466C2211yescharacteristic
197C43×#465C2211yescharacteristic, complemented
198C43×#442C2211yescharacteristic, complemented
199C43×#440C2211yescharacteristic, complemented
200C4×SD16×C43C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic, complemented
202C43×#405C2211yescharacteristic, complemented
203C2×#10621902—21no—
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621898—21no—
207C2×#10621900—21no—
208C2×#10621900C2311yescharacteristic
209C2×D4×D43—21no—
210C2×D4×D43—21no—
211C2×D4×D43C2311yescharacteristic
212C2×D4×D43C2311yescharacteristic
213C22×C4×D43C2311yescharacteristic
214#13063352—24no—
215#13063349—24no—
216#13063346—24no—
217C2×#10621885C2311yescharacteristic
218C2×#10621873C2311yescharacteristic
219C2×#10621873C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×D344C2311yescharacteristic
223C2×D344C2311yescharacteristic
224C2×#10621882C2311yescharacteristic
225C2×#10621882C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229D8×D43—24no—
230C2×#10621877C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C2×#10621872C2311yescharacteristic
233M16×D43—24no—
234C22×C43⋊C8C2311yescharacteristic
235C2×C8×D43—24no—
236C2×C8×D43C2311yescharacteristic
237C2×C8×D43C2311yescharacteristic
238C2×C8×D43C2311yescharacteristic
239C2×C8×D43C2311yescharacteristic
240C2×C8×D43C2311yescharacteristic
241C2×C8×D43C2311yescharacteristic
242#13063325C2311yescharacteristic
243#13063324—21no—
244#13063324C2311yescharacteristic
245#13063324C2311yescharacteristic
246#13063323—21no—
247#13063322C2311yescharacteristic
248#13063321C2311yescharacteristic
249#13063321C2311yescharacteristic
250#13063320—21no—
251#13063320—21no—
252#13063320—21no—
253#13063320—21no—
254#13063318—21no—
255#13063318—21no—
256#13063318—21no—
257#13063317C2311yescharacteristic
258#13063316C2311yescharacteristic
259#13063316C2311yescharacteristic
260#13063315—21no—
261#13063315—21no—
262#13063314—21no—
263#13063314C2311yescharacteristic
264#13063313C2311yescharacteristic
265#13063312—21no—
266#13063312—21no—
267#13063312C2311yescharacteristic
268#13063311—21no—
269#13063311—21no—
270#13063311—21no—
271#13063311—21no—
272#13063310—21no—
273#13063310—21no—
274#13063310—21no—
275#13063310—21no—
276#13063310—21no—
277#13063309—21no—
278#13063309—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063307—21no—
286#13063306—21no—
287#13063305—21no—
288#13063305—21no—
289#13063305C2311yescharacteristic
290#13063304C2311yescharacteristic
291#13063303—21no—
292#13063303—21no—
293#13063303—21no—
294#13063302—21no—
295#13063301—21no—
296#13063301C2311yescharacteristic
297#13063300—21no—
298#13063300C2311yescharacteristic
299#13063300C2311yescharacteristic
300#13063300C2311yescharacteristic
301#13063299C2311yescharacteristic
302#13063299C2311yescharacteristic
303#13063299C2311yescharacteristic
304#13063298—21no—
305#13063298—21no—
306#13063298—21no—
307#13063298—21no—
308#13063298—21no—
309#13063298—21no—
310#13063298—21no—
311#13063298—21no—
312#13063297—21no—
313#13063297—21no—
314#13063297—21no—
315#13063297—21no—
316#13063297—21no—
317#13063297—21no—
318#13063296—21no—
319#13063296—21no—
320#13063296—21no—
321#13063296C2311yescharacteristic
322#13063296C2311yescharacteristic
323#13063296C2311yescharacteristic
324#13063295—21no—
325#13063295—21no—
326#13063295—21no—
327#13063293—21no—
328#13063293—21no—
329#13063293—21no—
330Q8×Dic43C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332#13063290C2311yescharacteristic
333C4×D172—21no—
334C4×D172—21no—
335C4×D172C2311yescharacteristic
336C4×D172C2311yescharacteristic
337C4×D172C2311yescharacteristic
338D4×Dic43—21no—
339D4×Dic43—21no—
340D4×Dic43C2311yescharacteristic
341D4×Dic43C2311yescharacteristic
342D4×Dic43C2311yescharacteristic
343#13063287—21no—
344#13063287—21no—
345#13063287—21no—
346#13063287—21no—
347#13063287C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356(C22⋊D43)⋊C4—21no—
357(C22⋊D43)⋊C4—21no—
358(C22⋊D43)⋊C4—21no—
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362#13063284—21no—
363#13063284C2311yescharacteristic
364#13063283—21no—
365#13063283D411yescharacteristic
366#13063283D411yescharacteristic
367#13063283C2311yescharacteristic
368#13063283C2311yescharacteristic
369#13063282—21no—
370#13063282—21no—
371#13063282C2311yescharacteristic
372#13063282C2311yescharacteristic
373#13063281—21no—
374#13063281—21no—
375#13063281D411yescharacteristic
376#13063281D411yescharacteristic
377C2×Dic43⋊C4—21no—
378C4⋊C4×D43—21no—
379C4⋊C4×D43D411yescharacteristic
380C4⋊C4×D43D411yescharacteristic
381C4⋊C4×D43C2311yescharacteristic
382C4⋊C4×D43C2311yescharacteristic
383C2×(C2×D43)⋊C4—21no—
384C2×(C2×D43)⋊C4—21no—
385C22⋊C4×D43—21no—
386C22⋊C4×D43—21no—
387C22⋊C4×D43—21no—
388C22⋊C4×D43—21no—
389C22⋊C4×D43D411yescharacteristic
390C22⋊C4×D43D411yescharacteristic
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#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063247C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063245C2311yescharacteristic
424#13063245C2311yescharacteristic
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×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—
485C23×D43—21no—
486C23×D43C2×D411yescharacteristic
487C2×Q8×C43—21no—
488C2×Q8×C43C2411yescharacteristic
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—21no—
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43C2411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43C2411yescharacteristic
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⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43—21no—
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43C2×D411yescharacteristic
519#10621902—22no—
520#10621902—22no—
521#10621902—82no—
522#10621900—22no—
523#10621900—22no—
524#10621900—82no—
525D4×D43—22no—
526D4×D43—22no—
527D4×D43—22no—
528D4×D43—22no—
529D4×D43—82no—
530D4×D43—82no—
531#10621898—82no—
532#10621898—82no—
533C2×D172—21no—
534C2×D172—21no—
535C2×D172—21no—
536C2×D172—21no—
537C2×D172—21no—
538C2×D172—21no—
539C2×D172C2411yescharacteristic
540C2×D172C2411yescharacteristic
541C2×D172C2411yescharacteristic
542C2×C4×D43—22no—
543C2×C4×D43—22no—
544C2×C4×D43—21no—
545C2×C4×D43—21no—
546C2×C4×D43—21no—
547C2×C4×D43—21no—
548C2×C4×D43—21no—
549C2×C4×D43—21no—
550C2×C4×D43—21no—
551C2×C4×D43—21no—
552C2×C4×D43—21no—
553C2×C4×D43C2×D411yescharacteristic
554C2×C4×D43C2×D411yescharacteristic
555C2×C4×D43C2×D411yescharacteristic
556C2×C4×D43C2×D411yescharacteristic
557C2×C4×D43C2×D411yescharacteristic
558C2×C4×D43C2×D411yescharacteristic
559C2×C4×D43C2411yescharacteristic
560C2×C4×D43C2411yescharacteristic
561C2×Dic86—21no—
562C2×Dic86—21no—
563C2×Dic86—21no—
564C2×Dic86C2411yescharacteristic
565SD16×C43—22no—
566SD16×C43—22no—
567D8×C43—22no—
568D8×C43—22no—
569M16×C43—22no—
570C2×C8×C43—22no—
571C2×C8×C43C2411yescharacteristic
572C2×C8×C43C2411yescharacteristic
573C2×C8×C43C2411yescharacteristic
574C2×C8×C43C2411yescharacteristic
575C4⋊C4×C43—21no—
576C4⋊C4×C43—21no—
577C4⋊C4×C43—21no—
578C4⋊C4×C43—21no—
579C4⋊C4×C43—21no—
580C4⋊C4×C43C2×D411yescharacteristic
581C4⋊C4×C43C2×D411yescharacteristic
582C4⋊C4×C43C2411yescharacteristic
583C4⋊C4×C43C2411yescharacteristic
584C4⋊C4×C43C2411yescharacteristic
585C4⋊C4×C43C2411yescharacteristic
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43—21no—
594C22⋊C4×C43—21no—
595C22⋊C4×C43C2×D411yescharacteristic
596C22⋊C4×C43C2×D411yescharacteristic
597C42×C43—21no—
598C42×C43C2411yescharacteristic
599C42×C43C2411yescharacteristic
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43C2×D411yescharacteristic
610C22⋊Dic43C2×D411yescharacteristic
611#10621885—22no—
612#10621884—22no—
613#10621883—22no—
614#10621882—22no—
615#10621882—22no—
616#10621882—22no—
617#10621882—22no—
618#10621882—22no—
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)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4—21no—
635(C2×D43)⋊C4—21no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4C2×D411yescharacteristic
640(C2×D43)⋊C4C2×D411yescharacteristic
641(C2×D43)⋊C4C2×D411yescharacteristic
642(C2×D43)⋊C4C2×D411yescharacteristic
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43C2×D411yescharacteristic
649C4⋊Dic43C2×D411yescharacteristic
650C4⋊Dic43C2411yescharacteristic
651C4⋊Dic43C2411yescharacteristic
652C4⋊Dic43C2411yescharacteristic
653C4⋊Dic43C2411yescharacteristic
654Dic43⋊C4—21no—
655Dic43⋊C4—21no—
656Dic43⋊C4—21no—
657Dic43⋊C4—21no—
658Dic43⋊C4—21no—
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4C2×D411yescharacteristic
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43C2×D411yescharacteristic
676C4×Dic43C2×D411yescharacteristic
677C4×Dic43C2×D411yescharacteristic
678C4×Dic43C2×D411yescharacteristic
679C4×Dic43C2411yescharacteristic
680C4×Dic43C2411yescharacteristic
681#10621877—22no—
682C2×C43⋊C8—22no—
683C2×C43⋊C8C2411yescharacteristic
684C2×C43⋊C8C2411yescharacteristic
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687D344—22no—
688D344—22no—
689#10621873—22no—
690#10621873—22no—
691#10621872—22no—
692#10621872#4114yescomplemented
693C8×D43—22no—
694C8×D43—22no—
695C8×D43—22no—
696C8×D43—22no—
697C8×D43—22no—
698C8×D43#4114yescomplemented
699C23×C43—21no—
700C23×C43—21no—
701C23×C43—21no—
702C23×C43C22×D411yescharacteristic
703C22×D43—22no—
704C22×D43—22no—
705C22×D43—21no—
706C22×D43—21no—
707C22×D43—21no—
708C22×D43—41no—
709C22×D43—42no—
710C22×D43—42no—
711C22×D43—81no—
712C22×D43—81no—
713C22×D43—81no—
714C22×D43—81no—
715C22×D43C22×D411yescharacteristic
716C22×D43C22×D411yescharacteristic
717Q8×C43—21no—
718Q8×C43—21no—
719Q8×C43—81no—
720D4×C43—21no—
721D4×C43—21no—
722D4×C43—21no—
723D4×C43—21no—
724D4×C43—21no—
725D4×C43—21no—
726D4×C43—81no—
727D4×C43—81no—
728D4×C43—81no—
729D4×C43—81no—
730D4×C43—81no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—21no—
738C2×C4×C43—81no—
739C2×C4×C43—81no—
740C2×C4×C43—81no—
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C22×D411yescharacteristic
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C22×D411yescharacteristic
746C2×C4×C43C2511yescharacteristic
747C22⋊D43—42no—
748C22⋊D43—42no—
749C22⋊D43—42no—
750C22⋊D43—42no—
751C22⋊D43—42no—
752C22⋊D43—42no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C2×Dic43—22no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—42no—
767C2×Dic43—81no—
768C2×Dic43—81no—
769C2×Dic43—81no—
770C2×Dic43C22×D411yescharacteristic
771C2×Dic43C22×D411yescharacteristic
772C2×Dic43C22×D411yescharacteristic
773C2×Dic43C22×D411yescharacteristic
774C2×Dic43C22×D411yescharacteristic
775C2×Dic43C22×D411yescharacteristic
776D172—21no—
777D172—21no—
778D172—21no—
779D172—21no—
780D172—21no—
781D172—21no—
782D172—42no—
783D172—42no—
784D172—42no—
785D172—42no—
786D172—81no—
787D172—81no—
788C4×D43—22no—
789C4×D43—22no—
790C4×D43—22no—
791C4×D43—21no—
792C4×D43—21no—
793C4×D43—22no—
794C4×D43—41no—
795C4×D43—41no—
796C4×D43—42no—
797C4×D43—81no—
798C4×D43—81no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802C4×D43—81no—
803C4×D43—81no—
804C4×D43—81no—
805C4×D43C2×#4112yes—
806C4×D43C2×#4112yes—
807Dic86—21no—
808Dic86—21no—
809Dic86—81no—
810Dic86—81no—
811Dic86—81no—
812C8×C43—21no—
813C8×C43—21no—
814C8×C43C2×#4112yes—
815C8×C43C2×#4112yes—
816C43⋊C8—21no—
817C43⋊C8—21no—
818C43⋊C8C2×#4112yes—
819C43⋊C8C2×#4112yes—
820#60707—431nomaximal, Sylow
821C22×C43—21no—
822C22×C43—21no—
823C22×C43—21no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—41no—
833C22×C43C23×D411yescharacteristic
834C2×D43—21no—
835C2×D43—21no—
836C2×D43—21no—
837C2×D43—21no—
838C2×D43—44no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43—162no—
849C2×D43—162no—
850C2×D43#53212yes—
851C2×D43#57612yes—
852C4×C43—21no—
853C4×C43—21no—
854C4×C43—21no—
855C4×C43—21no—
856C4×C43—21no—
857C4×C43—41no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43—41no—
861C4×C43—41no—
862C4×C43C22×#4111yescharacteristic
863C4×C43C22×#4111yescharacteristic
864Dic43—21no—
865Dic43—21no—
866Dic43—21no—
867Dic43—21no—
868Dic43—21no—
869Dic43—41no—
870Dic43—41no—
871Dic43—41no—
872Dic43—41no—
873Dic43—41no—
874Dic43#53212yes—
875#3494—431no—
876#3494—431no—
877#3180—431no—
878#3180—431no—
879#3180—431no—
880#3180—431no—
881#3179—431no—
882#3179—431no—
883#3179—431no—
884#3179D4311yescharacteristic, complemented
885#3176—431no—
886#3176—431no—
887#3175—431no—
888#3175—431no—
889#3169—431no—
890#3169—431no—
891#3168—431no—
892#3168—431no—
893#3164—431no—
894#3155—431no—
895#3136—431no—
896#3136—431no—
897#3055—431no—
898#3055—431no—
899#3050—431no—
900C2×#466—431no—
901#2951—431no—
902#2948—431no—
903#2946—431no—
904#2946—431no—
905C2×#405—431no—
906C2×C43—41no—
907C2×C43—81no—
908C2×C43—81no—
909C2×C43—81no—
910C2×C43C2×#53211yescharacteristic
911C2×C43C2×#57611yescharacteristic
912C2×C43#358411yescharacteristic
913D43—22no—
914D43—22no—
915D43—81no—
916D43—81no—
917D43—81no—
918C2×AGL(1,ℤ/8)—431no—
919C2×AGL(1,ℤ/8)—431no—
920C2×#135—431no—
921C22×D8—431no—
922C22×M16—431no—
923C23×C8—431no—
924#555—861no—
925#555—861no—
926#553—861no—
927#553—861no—
928#553—861no—
929#553—861no—
930#551—861no—
931#551—861no—
932#551—861no—
933#551—861no—
934#547—861no—
935#547—861no—
936#546—861no—
937#546—861no—
938#546—861no—
939#546—861no—
940#544—431no—
941#544—431no—
942#542—431no—
943#542—431no—
944#542—431no—
945#542C2×D4311yescharacteristic, complemented
946#540—431no—
947#540—431no—
948#540—431no—
949#540C2×D4311yescharacteristic, complemented
950#535—431no—
951#535—431no—
952#532—431no—
953#532—431no—
954#532—431no—
955#532—431no—
956#529—431no—
957#529—431no—
958#529—431no—
959#529—431no—
960#525—431no—
961#525—431no—
962C2×#121—431no—
963C2×#121—431no—
964#520—431no—
965#520—431no—
966#518—431no—
967#518—431no—
968C2×#117—431no—
969#501—431no—
970#501—431no—
971#501—431no—
972#501C2×D4311yescharacteristic, complemented
973#500—431no—
974#500—431no—
975#499—431no—
976#499—431no—
977#496—431no—
978#496—431no—
979#496—431no—
980#496C2×D4311yescharacteristic, complemented
981#495—431no—
982#495—431no—
983#493—431no—
984#493—431no—
985#490—431no—
986#490—431no—
987#490—431no—
988#490—431no—
989#489—431no—
990#489—431no—
991#489—431no—
992#489—431no—
993#488—431no—
994#488—431no—
995#488—431no—
996#488C2×D4311yescharacteristic, complemented
997#486—431no—
998#486—431no—
999#486—431no—
1000#486C2×D4311yescharacteristic, complemented
1001#469—431no—
1002#469—431no—
1003#469—431no—
1004#469C2×D4311yescharacteristic, complemented
1005#468—431no—
1006#468—431no—
1007#468—431no—
1008#468C2×D4311yescharacteristic, complemented
1009#467—431no—
1010#467—431no—
1011#466—431no—
1012#466—431no—
1013#466—431no—
1014#466—431no—
1015#466—431no—
1016#466—431no—
1017#466—431no—
1018#466—431no—
1019#466—431no—
1020#466—431no—
1021#466—431no—
1022#466—431no—
1023#466—431no—
1024#466C2×D4311yescharacteristic
1025#465—431no—
1026#465—431no—
1027#465—431no—
1028#465—431no—
1029#465—431no—
1030#465—431no—
1031#465—431no—
1032#465C2×D4311yescharacteristic, complemented
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442C2×D4311yescharacteristic, complemented
1041#440—431no—
1042#440—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440—431no—
1048#440C2×D4311yescharacteristic, complemented
1049C4×Q16—431no—
1050C4×Q16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16C2×D4311yescharacteristic, complemented
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060C4×D8—431no—
1061C4×D8—431no—
1062C4×D8—431no—
1063C4×D8—431no—
1064C4×D8C2×D4311yescharacteristic, complemented
1065#428—431no—
1066#428—431no—
1067#427—431no—
1068C2×#107—431no—
1069#418—431no—
1070#418—431no—
1071#417—431no—
1072#417—431no—
1073#416—431no—
1074#416—431no—
1075C2×#102—431no—
1076C2×#102—431no—
1077#405—431no—
1078#405—431no—
1079#405—431no—
1080#405—431no—
1081#405—431no—
1082#405—431no—
1083#405—431no—
1084#405C2×D4311yescharacteristic, complemented
1085C2×#97—431no—
1086C2×#97—431no—
1087C2×C4×C8—431no—
1088C2×C4×C8—431no—
1089C43#6070711yescharacteristic, complemented, Sylow
1090C2×#41—431no—
1091C2×#41—431no—
1092C2×#41—861no—
1093C2×#41—861no—
1094C2×#41—861no—
1095C2×#41—861no—
1096C22×D4—431no—
1097C22×D4—431no—
1098C22×D4—861no—
1099C22×D4—861no—
1100C23×C4—431no—
1101AGL(1,ℤ/8)—864no—
1102AGL(1,ℤ/8)—864no—
1103#135—864no—
1104C2×Q16—431no—
1105C2×SD16—431no—
1106C2×SD16—431no—
1107C2×SD16—431no—
1108C2×SD16—431no—
1109C2×SD16C22×D4311yescharacteristic
1110C2×SD16C22×D4311yescharacteristic
1111C2×D8—431no—
1112C2×D8—431no—
1113C2×D8—431no—
1114C2×D8—431no—
1115C2×D8—431no—
1116C2×D8—431no—
1117C2×D8—431no—
1118C2×D8—864no—
1119C2×D8C22×D4311yescharacteristic
1120C2×D8C22×D4311yescharacteristic
1121C2×M16—431no—
1122C2×M16—431no—
1123C2×M16—431no—
1124C2×M16—864no—
1125C2×M16C22×D4311yescharacteristic
1126C22×C8—431no—
1127C22×C8—431no—
1128C22×C8—431no—
1129C22×C8—431no—
1130C22×C8—431no—
1131C22×C8—431no—
1132C22×C8—431no—
1133C22×C8—864no—
1134C22×C8C22×D4311yescharacteristic
1135C4⋊Q8—431no—
1136C4⋊Q8—431no—
1137C4⋊Q8—431no—
1138C4⋊Q8—861no—
1139C4⋊Q8—861no—
1140C4⋊Q8C22×D4311yescharacteristic
1141#127—431no—
1142#127—431no—
1143#127—431no—
1144#127C22×D4311yescharacteristic
1145#126—21no—
1146#126—861no—
1147#126—861no—
1148#126—861no—
1149#126—861no—
1150#126—861no—
1151#126—861no—
1152#126—861no—
1153#125—431no—
1154#125—431no—
1155#125—431no—
1156#125—861no—
1157#125—861no—
1158#125C22×D4311yescharacteristic
1159#124—21no—
1160#124—431no—
1161#124—431no—
1162#124—431no—
1163#124—861no—
1164#124—861no—
1165#124—861no—
1166#124—861no—
1167#124—861no—
1168#124—861no—
1169#124—861no—
1170#124C22×D4311yescharacteristic
1171#123—21no—
1172#123—21no—
1173#123—21no—
1174#123—861no—
1175#123—861no—
1176#123—861no—
1177#123—861no—
1178#123—861no—
1179#123—861no—
1180#123—861no—
1181#123—861no—
1182#123—861no—
1183#123—861no—
1184#123—861no—
1185#123—861no—
1186#123—861no—
1187#123—861no—
1188#123—861no—
1189C22⋊Q8—21no—
1190C22⋊Q8—431no—
1191C22⋊Q8—431no—
1192C22⋊Q8—431no—
1193C22⋊Q8—861no—
1194C22⋊Q8—861no—
1195C22⋊Q8—861no—
1196C22⋊Q8—861no—
1197C22⋊Q8—861no—
1198C22⋊Q8—861no—
1199C22⋊Q8—861no—
1200C22⋊Q8C22×D4311yescharacteristic
1201#121—21no—
1202#121—21no—
1203#121—431no—
1204#121—431no—
1205#121—431no—
1206#121—431no—
1207#121—431no—
1208#121—431no—
1209#121—431no—
1210#121—431no—
1211#121—431no—
1212#121—861no—
1213#121—861no—
1214#121—861no—
1215#121—861no—
1216#121—861no—
1217#121—861no—
1218#121—861no—
1219#121—861no—
1220#121—861no—
1221#121—861no—
1222#121—861no—
1223#121—861no—
1224#121—861no—
1225#121—861no—
1226#121—861no—
1227#121—861no—
1228#121—861no—
1229#121—861no—
1230#121C22×D4311yescharacteristic
1231#121C22×D4311yescharacteristic
1232#121C22×D4311yescharacteristic
1233#120—861no—
1234#120—861no—
1235#120—861no—
1236#120—861no—
1237#120—861no—
1238#120—861no—
1239C4×Q8—431no—
1240C4×Q8—431no—
1241C4×Q8—431no—
1242C4×Q8C22×D4311yescharacteristic
1243C4×D4—431no—
1244C4×D4—431no—
1245C4×D4—431no—
1246C4×D4—431no—
1247C4×D4—431no—
1248C4×D4—431no—
1249C4×D4—431no—
1250C4×D4—431no—
1251C4×D4—431no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4—861no—
1262C4×D4—861no—
1263C4×D4—861no—
1264C4×D4—861no—
1265C4×D4—861no—
1266C4×D4—861no—
1267C4×D4—861no—
1268C4×D4—861no—
1269C4×D4—861no—
1270C4×D4—861no—
1271C4×D4—861no—
1272C4×D4C22×D4311yescharacteristic
1273C4×D4C22×D4311yescharacteristic
1274C4×D4C22×D4311yescharacteristic
1275#117—431no—
1276#117—431no—
1277#117—431no—
1278#117—431no—
1279#117—431no—
1280#117—431no—
1281#117—431no—
1282#117—431no—
1283#117—431no—
1284#117—861no—
1285#117—861no—
1286#117—861no—
1287#117—861no—
1288#117—861no—
1289#117—861no—
1290#117C22×D4311yescharacteristic
1291C2×C4⋊C4—431no—
1292C2×C4⋊C4—431no—
1293C2×C4⋊C4—431no—
1294C2×C4⋊C4—431no—
1295C2×C4⋊C4—861no—
1296C2×C4⋊C4—861no—
1297C2×C22⋊C4—431no—
1298C2×C22⋊C4—431no—
1299C2×C22⋊C4—861no—
1300C2×C22⋊C4—861no—
1301C2×C22⋊C4—861no—
1302C2×C22⋊C4—861no—
1303C2×C22⋊C4—861no—
1304C2×C22⋊C4—861no—
1305C2×C42—431no—
1306C2×C42—431no—
1307#107—431no—
1308#107—431no—
1309#107—431no—
1310#107—431no—
1311#107—431no—
1312#107—431no—
1313#107—431no—
1314#107—431no—
1315#107C22×D4311yescharacteristic
1316#107C22×D4311yescharacteristic
1317#106—431no—
1318#106—431no—
1319#106—431no—
1320#106—431no—
1321#106C22×D4311yescharacteristic
1322#106C22×D4311yescharacteristic
1323#103—431no—
1324#103—431no—
1325#103—431no—
1326#103—431no—
1327#103—431no—
1328#103—431no—
1329#103C22×D4311yescharacteristic
1330#103C22×D4311yescharacteristic
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102—431no—
1341#102—431no—
1342#102—431no—
1343#102—431no—
1344#102—431no—
1345#102—431no—
1346#102—431no—
1347#102—431no—
1348#102—431no—
1349#102C22×D4311yescharacteristic
1350#102C22×D4311yescharacteristic
1351#102C22×D4311yescharacteristic
1352#102C22×D4311yescharacteristic
1353#102C22×D4311yescharacteristic
1354#102C22×D4311yescharacteristic
1355#97—431no—
1356#97—431no—
1357#97—431no—
1358#97—431no—
1359#97—431no—
1360#97—431no—
1361#97C22×D4311yescharacteristic
1362#97C22×D4311yescharacteristic
1363C4×C8—431no—
1364C4×C8—431no—
1365C4×C8—431no—
1366C4×C8—431no—
1367C4×C8—431no—
1368C4×C8—431no—
1369C4×C8C22×D4311yescharacteristic
1370C4×C8C22×D4311yescharacteristic
1371C24—431no—
1372C24—861no—
1373C24—861no—
1374#41—862no—
1375#41—862no—
1376#41—862no—
1377#41—862no—
1378#41—3442no—
1379#41—3442no—
1380#41—3442no—
1381#41—3442no—
1382C2×Q8—21no—
1383C2×Q8—431no—
1384C2×Q8—861no—
1385C2×Q8—861no—
1386C2×Q8—861no—
1387C2×Q8C23×D4311yescharacteristic
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—431no—
1394C2×D4—431no—
1395C2×D4—431no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—862no—
1401C2×D4—862no—
1402C2×D4—862no—
1403C2×D4—862no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—861no—
1411C2×D4—861no—
1412C2×D4—861no—
1413C2×D4—861no—
1414C2×D4—861no—
1415C2×D4—861no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—861no—
1419C2×D4—3442no—
1420C2×D4—3442no—
1421C2×D4C23×D4311yescharacteristic
1422C2×D4C23×D4311yescharacteristic
1423C2×D4C23×D4311yescharacteristic
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—431no—
1428C22×C4—431no—
1429C22×C4—431no—
1430C22×C4—431no—
1431C22×C4—431no—
1432C22×C4—431no—
1433C22×C4—431no—
1434C22×C4—431no—
1435C22×C4—431no—
1436C22×C4—862no—
1437C22×C4—862no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—861no—
1443C22×C4—861no—
1444C22×C4—861no—
1445C22×C4—861no—
1446C22×C4—861no—
1447C22×C4—861no—
1448C22×C4—861no—
1449C22×C4—861no—
1450C22×C4—861no—
1451C22×C4C23×D4311yescharacteristic
1452Q16—862no—
1453SD16—22no—
1454SD16—22no—
1455SD16—862no—
1456SD16—862no—
1457SD16—862no—
1458SD16—862no—
1459D8—22no—
1460D8—22no—
1461D8—862no—
1462D8—862no—
1463D8—862no—
1464D8—862no—
1465D8—862no—
1466D8—862no—
1467D8—862no—
1468M16—22no—
1469M16—434no—
1470M16—862no—
1471M16—862no—
1472C2×C8—22no—
1473C2×C8—431no—
1474C2×C8—431no—
1475C2×C8—434no—
1476C2×C8—431no—
1477C2×C8—431no—
1478C2×C8—862no—
1479C2×C8—862no—
1480C2×C8—862no—
1481C2×C8—862no—
1482C2×C8—862no—
1483C2×C8—862no—
1484C2×C8C23×D4311yescharacteristic
1485C2×C8C23×D4311yescharacteristic
1486C2×C8C23×D4311yescharacteristic
1487C2×C8C23×D4311yescharacteristic
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—431no—
1494C4⋊C4—431no—
1495C4⋊C4—431no—
1496C4⋊C4—431no—
1497C4⋊C4—431no—
1498C4⋊C4—431no—
1499C4⋊C4—431no—
1500C4⋊C4—431no—
1501C4⋊C4—431no—
1502C4⋊C4—431no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4—861no—
1510C4⋊C4—861no—
1511C4⋊C4—861no—
1512C4⋊C4—861no—
1513C4⋊C4—861no—
1514C4⋊C4—861no—
1515C4⋊C4—861no—
1516C4⋊C4—861no—
1517C4⋊C4—861no—
1518C4⋊C4—861no—
1519C4⋊C4—861no—
1520C4⋊C4D4×D4311yescharacteristic
1521C4⋊C4D4×D4311yescharacteristic
1522C4⋊C4C23×D4311yescharacteristic
1523C4⋊C4C23×D4311yescharacteristic
1524C4⋊C4C23×D4311yescharacteristic
1525C4⋊C4C23×D4311yescharacteristic
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—431no—
1536C22⋊C4—431no—
1537C22⋊C4—431no—
1538C22⋊C4—431no—
1539C22⋊C4—431no—
1540C22⋊C4—431no—
1541C22⋊C4—861no—
1542C22⋊C4—861no—
1543C22⋊C4—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4—861no—
1556C22⋊C4—861no—
1557C22⋊C4—861no—
1558C22⋊C4—861no—
1559C22⋊C4—861no—
1560C22⋊C4—861no—
1561C22⋊C4—861no—
1562C22⋊C4—861no—
1563C22⋊C4—861no—
1564C22⋊C4—861no—
1565C22⋊C4—861no—
1566C22⋊C4—861no—
1567C22⋊C4—861no—
1568C22⋊C4—861no—
1569C22⋊C4—861no—
1570C22⋊C4D4×D4311yescharacteristic
1571C22⋊C4D4×D4311yescharacteristic
1572C42—21no—
1573C42—431no—
1574C42—431no—
1575C42—431no—
1576C42—431no—
1577C42—431no—
1578C42—431no—
1579C42—861no—
1580C42—861no—
1581C42—861no—
1582C42—861no—
1583C42—861no—
1584C42C23×D4311yescharacteristic
1585C42C23×D4311yescharacteristic
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—431no—
1590C23—431no—
1591C23—862no—
1592C23—862no—
1593C23—861no—
1594C23—861no—
1595C23—861no—
1596C23—3441no—
1597C23—3441no—
1598C23—3441no—
1599C23—3441no—
1600C23—1721no—
1601C23—1722no—
1602C23—1722no—
1603C23C2×D4×D4311yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—81no—
1607Q8—861no—
1608Q8—861no—
1609Q8—3441no—
1610Q8—3441no—
1611Q8—3441no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—81no—
1619D4—81no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4—861no—
1624D4—861no—
1625D4—861no—
1626D4—861no—
1627D4—861no—
1628D4—861no—
1629D4—3441no—
1630D4—3441no—
1631D4—3441no—
1632D4—3441no—
1633D4—3441no—
1634D4—3441no—
1635D4—3441no—
1636D4—3441no—
1637D4—3441no—
1638D4—1722no—
1639D4—1722no—
1640D4—1722no—
1641D4—1722no—
1642D4—1722no—
1643D4—1722no—
1644D4—1722no—
1645D4—1722no—
1646D4—1722no—
1647D4—1722no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—81no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—431no—
1659C2×C4—432no—
1660C2×C4—432no—
1661C2×C4—431no—
1662C2×C4—431no—
1663C2×C4—431no—
1664C2×C4—431no—
1665C2×C4—431no—
1666C2×C4—862no—
1667C2×C4—862no—
1668C2×C4—862no—
1669C2×C4—862no—
1670C2×C4—862no—
1671C2×C4—861no—
1672C2×C4—861no—
1673C2×C4—861no—
1674C2×C4—861no—
1675C2×C4—861no—
1676C2×C4—861no—
1677C2×C4—861no—
1678C2×C4—3441no—
1679C2×C4—3441no—
1680C2×C4—3441no—
1681C2×C4—3441no—
1682C2×C4—3441no—
1683C2×C4—3441no—
1684C2×C4—3441no—
1685C2×C4—3441no—
1686C2×C4—3441no—
1687C2×C4—3441no—
1688C2×C4—3441no—
1689C2×C4—1721no—
1690C2×C4—1721no—
1691C2×C4—1722no—
1692C2×C4—1722no—
1693C2×C4C2×D4×D4311yescharacteristic
1694C2×C4C2×D4×D4311yescharacteristic
1695C2×C4C2×D4×D4311yescharacteristic
1696C2×C4C2×D4×D4311yescharacteristic
1697C2×C4C2×D4×D4311yescharacteristic
1698C2×C4C24×D4311yescharacteristic
1699C8—21no—
1700C8—21no—
1701C8—432no—
1702C8—432no—
1703C8—861no—
1704C8—861no—
1705C8#41×D4312yes—
1706C8#41×D4312yes—
1707C22—21no—
1708C22—21no—
1709C22—21no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—432no—
1720C22—432no—
1721C22—861no—
1722C22—861no—
1723C22—861no—
1724C22—861no—
1725C22—1724no—
1726C22—1721no—
1727C22—1721no—
1728C22—1721no—
1729C22—1721no—
1730C22—1721no—
1731C22—1721no—
1732C22—1721no—
1733C22—1721no—
1734C22—1721no—
1735C22—6882no—
1736C22—6882no—
1737C22C22×D4×D4311yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—432no—
1749C4—861no—
1750C4—861no—
1751C4—861no—
1752C4—861no—
1753C4—861no—
1754C4—1721no—
1755C4—1721no—
1756C4—1721no—
1757C4—1721no—
1758C4—1721no—
1759C4C2×#41×D4311yescharacteristic
1760C4C2×#41×D4311yescharacteristic
1761C2—41no—
1762C2—81no—
1763C2—81no—
1764C2—81no—
1765C2—862no—
1766C2—862no—
1767C2—3441no—
1768C2—3441no—
1769C2—3441no—
1770C2#532×D4311yescharacteristic
1771C2#576×D4311yescharacteristic
1772C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3179C2
socleC22×C43C23×D4
hypercenter#3179D43
hypocenterC43#60707
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. #19148328C2semidirect
2. #19148322C2semidirect
3. #19145295C2semidirect
4. #19145291C2semidirect
5. #19145290C2semidirect
6. #19145289C2semidirect
7. #19145281C2semidirect
8. #19145278C2semidirect
9. #19145273C2semidirect
10. #19145240C2semidirect
11. #19145239C2semidirect
12. #19145229C2semidirect
13. #19145228C2semidirect
14. #19145173C2semidirect
15. #19145171C2semidirect
16. #19145164C2semidirect
17. #19145161C2semidirect
18. #19145130C2semidirect
19. #19145079C2semidirect
20. #19144948C2semidirect
21. #19144944C2semidirect
22. #19144213C2semidirect
23. #19144209C2semidirect
24. #19144171C2semidirect
25. #466×D43C2semidirect
26. #19143467C2semidirect
27. #19143444C2semidirect
28. #19143422C2semidirect
29. #19143420C2semidirect
30. #405×D43C2semidirect
31. C43×#3179C2semidirect
56. #14583522C22semidirect
57. #14583520C22semidirect
58. #14583516C22semidirect
59. #14583504C22semidirect
60. #14583502C22semidirect
61. #14583502C22semidirect
64. #14583450C22semidirect
65. #14583447C22semidirect
66. #14583446C22semidirect
67. #14583446C22semidirect
68. #14583436C22semidirect
69. #14583434C22semidirect
70. #14583431C22semidirect
71. #14583428C22semidirect
81. #14583308C22semidirect
82. #14583307C22semidirect
83. #14583306C22semidirect
84. #14583303C22semidirect
85. #14583302C22semidirect
86. #14583299C22semidirect
87. #14583298C22semidirect
88. #14583288C22semidirect
89. #14583287C22semidirect
90. #14583285C22semidirect
91. #14583281C22semidirect
92. #14583280C22semidirect
93. #14583275C22semidirect
94. #14583274C22semidirect
95. #14583265C22semidirect
96. #14583263C22semidirect
97. #14583262C22semidirect
98. #14583262C22semidirect
99. #14583261C22semidirect
100. #14583260C22semidirect
101. #14583258C22semidirect
102. #14583257C22semidirect
103. #14583255C22semidirect
104. #14583254C22semidirect
105. #14583252C22semidirect
106. #14583246C22semidirect
107. #14583244C22semidirect
108. #14583244C22semidirect
109. #14583152C22semidirect
110. #14583150C22semidirect
111. #14583150C22semidirect
112. #14583147C22semidirect
113. #14583145C22semidirect
114. #14583143C22semidirect
115. #14583139C22semidirect
116. #14583138C22semidirect
118. #14583136C22semidirect
122. #14583134C22semidirect
123. #14583134C22semidirect
124. #14583134C22semidirect
127. #14583133C22semidirect
129. #14583132C22semidirect
130. #14583131C22semidirect
131. #14583129C22semidirect
132. #14583129C22semidirect
133. #14583128C22semidirect
134. #14583127C22semidirect
135. #14583125C22semidirect
136. #14583125C22semidirect
137. #14583012C22semidirect
138. #14583011C22semidirect
139. #14583011C22semidirect
140. #14583010C22semidirect
141. #14583010C22semidirect
142. #14583009C22semidirect
143. #14583009C22semidirect
144. #14583001C22semidirect
145. #14583000C22semidirect
146. #14583000C22semidirect
147. #14582999C22semidirect
148. #14582998C22semidirect
149. #14582998C22semidirect
150. #14582997C22semidirect
151. C4×#10621885C22semidirect
152. #14582991C22semidirect
153. #14582990C22semidirect
154. C4×#10621873C22semidirect
155. #14582984C22semidirect
156. C4×D344C22semidirect
157. C4×#10621882C22semidirect
158. C4×#10621882C22semidirect
159. C4×#10621882C22semidirect
160. #14582979C22semidirect
161. #14582979C22semidirect
162. #14582979C22semidirect
163. #14582979C22semidirect
164. #14582979C22semidirect
177. #14582857C22semidirect
180. #14582855C22semidirect
181. #14582854C22semidirect
184. #97×D43C22semidirect
185. #97×D43C22semidirect
186. C4×C8×D43C22semidirect
187. C4×C8×D43C22semidirect
188. C43×#542C22semidirect
189. C43×#540C22semidirect
190. C43×#501C22semidirect
191. C43×#496C22semidirect
192. C43×#488C22semidirect
193. C43×#486C22semidirect
194. C43×#469C22semidirect
195. C43×#468C22semidirect
197. C43×#465C22semidirect
198. C43×#442C22semidirect
199. C43×#440C22semidirect
200. C4×SD16×C43C22semidirect
201. C4×D8×C43C22semidirect
202. C43×#405C22semidirect
692. #10621872#41semidirect
698. C8×D43#41semidirect
884. #3179D43semidirect
945. #542C2×D43semidirect
949. #540C2×D43semidirect
972. #501C2×D43semidirect
980. #496C2×D43semidirect
996. #488C2×D43semidirect
1000. #486C2×D43semidirect
1004. #469C2×D43semidirect
1008. #468C2×D43semidirect
1032. #465C2×D43semidirect
1040. #442C2×D43semidirect
1048. #440C2×D43semidirect
1054. C4×SD16C2×D43semidirect
1064. C4×D8C2×D43semidirect
1084. #405C2×D43semidirect
1089. C43#60707semidirect

Maximal subgroups

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

subgroupindex
#191483282
#191483222
#191452952
#191452912
#191452902
#191452892
#191452812
#191452782
#191452732
#191452402
#191452392
#191452292
#191452282
#191451732
#191451712
#191451642
#191451612
#191451302
#191450792
#191449482
#191449442
#191442132
#191442092
#191441712
#466×D432
#191434672
#191434442
#191434222
#191434202
#405×D432
C43×#31792
#6070743