Finite Group Databasebeta

← #25981653

Subgroups — #25981653

Order 11008.

2118 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148435C211yesmaximal, characteristic, complemented
2#548×D43C211yesmaximal, characteristic, complemented
3#19146866C211yesmaximal, characteristic, complemented
4#19146864C211yesmaximal, characteristic, complemented
5#19146857C211yesmaximal, characteristic, complemented
6#19146847C211yesmaximal, characteristic, complemented
7#19146846C211yesmaximal, characteristic, complemented
8#19146845C211yesmaximal, characteristic, complemented
9#19146844C211yesmaximal, characteristic, complemented
10#19146252C211yesmaximal, characteristic, complemented
11#19146251C211yesmaximal, characteristic, complemented
12#19146249C211yesmaximal, characteristic, complemented
13#19146247C211yesmaximal, characteristic, complemented
14#19146231C211yesmaximal, characteristic, complemented
15#19146227C211yesmaximal, characteristic, complemented
16#19146223C211yesmaximal, characteristic, complemented
17#19146219C211yesmaximal, characteristic, complemented
18#19145564C211yesmaximal, characteristic, complemented
19#19145561C211yesmaximal, characteristic, complemented
20#19145415C211yesmaximal, characteristic, complemented
21#19145413C211yesmaximal, characteristic, complemented
22#19145410C211yesmaximal, characteristic, complemented
23#19145400C211yesmaximal, characteristic, complemented
24#19144680C211yesmaximal, characteristic, complemented
25#19144679C211yesmaximal, characteristic, complemented
26#19143852C211yesmaximal, characteristic, complemented
27#19143848C211yesmaximal, characteristic, complemented
28#19143831C211yesmaximal, characteristic, complemented
29#19143830C211yesmaximal, characteristic, complemented
30#19143633C211yesmaximal, characteristic, complemented
31C43×#3327C211yesmaximal, characteristic, complemented
32C2×#41×D43C2211yescharacteristic
33C22×Q8×D43C2211yescharacteristic, complemented
34C2×#13063358C2211yescharacteristic, complemented
35C2×#13063357C2211yescharacteristic, complemented
36C2×#13063357C2211yescharacteristic, complemented
37C2×#13063357C2211yescharacteristic, complemented
38C2×#13063356C2211yescharacteristic, complemented
39C2×#13063354C2211yescharacteristic, complemented
40C2×#13063353C2211yescharacteristic, complemented
41C2×#13063350C2211yescharacteristic, complemented
42#14583602—21no—
43#14583602C2211yescharacteristic, complemented
44#14583600—21no—
45#14583593C2211yescharacteristic, complemented
46#14583584C2211yescharacteristic, complemented
47#14583573—21no—
48#14583572—21no—
49#14583561C2211yescharacteristic, complemented
50#14583561C2211yescharacteristic, complemented
51#14583560C2211yescharacteristic, complemented
52#14583559—21no—
53#14583559C2211yescharacteristic
54#14583559C2211yescharacteristic, complemented
55#14583558—21no—
56#14583558C2211yescharacteristic
57#14583557—21no—
58#14583557C2211yescharacteristic, complemented
59#14583556C2211yescharacteristic
60#14583555—21no—
61#14583555C2211yescharacteristic, complemented
62#14583545C2211yescharacteristic, complemented
63#14583540C2211yescharacteristic, complemented
64#14583497—21no—
65#14583488—21no—
66#14583460—21no—
67#14583436C2211yescharacteristic
68#14583434C2211yescharacteristic
69#124×D43—21no—
70#124×D43C2211yescharacteristic, complemented
71#14583412C2211yescharacteristic
72#14583411C2211yescharacteristic
73C22⋊Q8×D43—21no—
74C22⋊Q8×D43C2211yescharacteristic
75C22⋊Q8×D43C2211yescharacteristic
76C2×#13063300C2211yescharacteristic
77#121×D43—21no—
78#121×D43C2211yescharacteristic, complemented
79#14583373—21no—
80C4×Q8×D43C2211yescharacteristic, complemented
81C4×D4×D43—21no—
82C4×D4×D43C2211yescharacteristic
83#14583284C2211yescharacteristic, complemented
84#14583283C2211yescharacteristic, complemented
85#14583281C2211yescharacteristic, complemented
86#14583280C2211yescharacteristic, complemented
87#14583256C2211yescharacteristic, complemented
88#14583255C2211yescharacteristic, complemented
89#14583252C2211yescharacteristic, complemented
90#14583234C2211yescharacteristic, complemented
91#14583231C2211yescharacteristic, complemented
92#14583231C2211yescharacteristic, complemented
93#14583228C2211yescharacteristic, complemented
94#14583228C2211yescharacteristic, complemented
95#14583226C2211yescharacteristic, complemented
96#14583223C2211yescharacteristic, complemented
97#14583222C2211yescharacteristic, complemented
98#14583214C2211yescharacteristic
99#14583214C2211yescharacteristic
100#14583205C2211yescharacteristic, complemented
101#14583204C2211yescharacteristic, complemented
102#14583203C2211yescharacteristic, complemented
103#14583157C2211yescharacteristic, complemented
104#14583155C2211yescharacteristic, complemented
105#14583155C2211yescharacteristic, complemented
106#14583153C2211yescharacteristic, complemented
107#14583152C2211yescharacteristic, complemented
108#14583151C2211yescharacteristic, complemented
109#14583150C2211yescharacteristic, complemented
110#14583148C2211yescharacteristic, complemented
111#14583148C2211yescharacteristic, complemented
112#14583147C2211yescharacteristic, complemented
113#14583146C2211yescharacteristic, complemented
114#14583146C2211yescharacteristic, complemented
115#14583146C2211yescharacteristic, complemented
116#14583144C2211yescharacteristic, complemented
117#14583124C2211yescharacteristic, complemented
118#14583124C2211yescharacteristic, complemented
119#14583123C2211yescharacteristic, complemented
120#14583122C2211yescharacteristic, complemented
121#14583121C2211yescharacteristic, complemented
122#14583121C2211yescharacteristic, complemented
123#14583120C2211yescharacteristic, complemented
124#14583117C2211yescharacteristic, complemented
125#14583115C2211yescharacteristic, complemented
126#14583113C2211yescharacteristic, complemented
127#14583111C2211yescharacteristic, complemented
128#14583063C2211yescharacteristic, complemented
129#14583061C2211yescharacteristic, complemented
130#14583059C2211yescharacteristic, complemented
131#14583056C2211yescharacteristic, complemented
132#14583056C2211yescharacteristic, complemented
133#14583056C2211yescharacteristic, complemented
134#14583056C2211yescharacteristic, complemented
135#14583056C2211yescharacteristic, complemented
136#14583054C2211yescharacteristic, complemented
137#14583053C2211yescharacteristic, complemented
138#14583053C2211yescharacteristic, complemented
139#14583053C2211yescharacteristic, complemented
140#14583052C2211yescharacteristic, complemented
141#14583051C2211yescharacteristic, complemented
142#14583049C2211yescharacteristic, complemented
143#14583048C2211yescharacteristic, complemented
144#14583047C2211yescharacteristic, complemented
145#14583047C2211yescharacteristic, complemented
146#14583047C2211yescharacteristic, complemented
147#14583046C2211yescharacteristic, complemented
148#14583045C2211yescharacteristic, complemented
149#14583045C2211yescharacteristic, complemented
150#14583043C2211yescharacteristic, complemented
151#14583042C2211yescharacteristic, complemented
152#14583040C2211yescharacteristic, complemented
153#14583039C2211yescharacteristic
154#14583039C2211yescharacteristic
155#14583039C2211yescharacteristic
156#14583039C2211yescharacteristic
157#14583039C2211yescharacteristic, complemented
158#14583039C2211yescharacteristic, complemented
159#14583038C2211yescharacteristic, complemented
160#14583034C2211yescharacteristic
161#14583034C2211yescharacteristic
162#14582993C2211yescharacteristic, complemented
163C4×#10621885C2211yescharacteristic, complemented
164#14582991C2211yescharacteristic, complemented
165C4×#10621873C2211yescharacteristic, complemented
166C4×#10621884C2211yescharacteristic, complemented
167#14582986C2211yescharacteristic, complemented
168#14582984C2211yescharacteristic, complemented
169#14582978C2211yescharacteristic, complemented
170#14582977C2211yescharacteristic, complemented
171#14582976C2211yescharacteristic, complemented
172#14582975C2211yescharacteristic, complemented
173#14582975C2211yescharacteristic, complemented
174#14582974C2211yescharacteristic, complemented
175#14582974C2211yescharacteristic, complemented
176#14582951C2211yescharacteristic, complemented
177#14582950C2211yescharacteristic, complemented
178#14582907C2211yescharacteristic, complemented
179#14582906C2211yescharacteristic, complemented
180#14582906C2211yescharacteristic, complemented
181#14582899C2211yescharacteristic, complemented
182#14582898C2211yescharacteristic, complemented
183#14582897C2211yescharacteristic, complemented
184#14582862C2211yescharacteristic
185#14582862C2211yescharacteristic, complemented
186#14582861C2211yescharacteristic
187#14582861C2211yescharacteristic, complemented
188C43×#552C2211yescharacteristic, complemented
189C43×#548C2211yescharacteristic
190C43×#488C2211yescharacteristic, complemented
191C43×#484C2211yescharacteristic, complemented
192C43×#482C2211yescharacteristic, complemented
193C43×#479C2211yescharacteristic, complemented
194C43×#470C2211yescharacteristic, complemented
195C43×#468C2211yescharacteristic, complemented
196C43×#464C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic, complemented
198C43×#451C2211yescharacteristic, complemented
199C4×Q16×C43C2211yescharacteristic, complemented
200C43×#436C2211yescharacteristic, complemented
201C43×#419C2211yescharacteristic, complemented
202C43×#417C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621902C2311yescharacteristic
205C2×#10621898—21no—
206C2×#10621898C2311yescharacteristic
207C2×#10621898C2311yescharacteristic
208C2×#10621900—21no—
209C2×#10621900C2311yescharacteristic
210#41×D43—42no—
211#41×D43—42no—
212C22×Dic86—21no—
213C22×Dic86C2311yescharacteristic
214C2×Q8×D43—21no—
215C2×Q8×D43—21no—
216C2×Q8×D43—42no—
217C2×Q8×D43—42no—
218C2×Q8×D43C2311yescharacteristic
219C2×Q8×D43C2311yescharacteristic
220C2×Q8×D43C2311yescharacteristic
221C2×Q8×D43C2311yescharacteristic
222C2×Q8×D43C2311yescharacteristic
223C22×D172—21no—
224C22×D172C2311yescharacteristic
225C2×D4×D43—21no—
226C2×D4×D43—21no—
227C2×D4×D43D411yescharacteristic
228C2×D4×D43C2311yescharacteristic
229C22×C4×D43—21no—
230C22×C4×D43—21no—
231C22×C4×D43C2311yescharacteristic
232C22×C4×D43C2311yescharacteristic
233#13063358—42no—
234#13063357—42no—
235#13063357—42no—
236#13063357—42no—
237#13063356—42no—
238#13063354—42no—
239#13063353—42no—
240#13063350—42no—
241C2×Dic172C2311yescharacteristic
242C2×Dic172C2311yescharacteristic
243C2×#10621885C2311yescharacteristic
244C2×#10621885C2311yescharacteristic
245C2×#10621885C2311yescharacteristic
246C2×#10621885C2311yescharacteristic
247C2×#10621873C2311yescharacteristic
248C2×#10621873C2311yescharacteristic
249C2×#10621873C2311yescharacteristic
250C2×#10621873C2311yescharacteristic
251C2×#10621873C2311yescharacteristic
252C2×#10621883C2311yescharacteristic
253C2×#10621884C2311yescharacteristic
254C2×#10621884C2311yescharacteristic
255C2×#10621884C2311yescharacteristic
256C2×#10621884C2311yescharacteristic
257C2×#10621884C2311yescharacteristic
258C2×D344C2311yescharacteristic
259C2×D344C2311yescharacteristic
260C2×#10621882C2311yescharacteristic
261C2×#10621882C2311yescharacteristic
262C2×#10621877C2311yescharacteristic
263C2×#10621877C2311yescharacteristic
264C2×#10621872C2311yescharacteristic
265C2×#10621872C2311yescharacteristic
266C2×#10621872C2311yescharacteristic
267C2×#10621872C2311yescharacteristic
268#13063320—21no—
269#13063320—21no—
270#13063320—21no—
271#13063320—21no—
272#13063319—21no—
273#13063316C2311yescharacteristic
274#13063315—21no—
275#13063314—21no—
276#13063314C2311yescharacteristic
277#13063314C2311yescharacteristic
278#13063313—21no—
279#13063313—21no—
280#13063313C2311yescharacteristic
281#13063313C2311yescharacteristic
282#13063312—21no—
283#13063312C2311yescharacteristic
284#13063311—21no—
285#13063311—21no—
286#13063311—21no—
287#13063311—21no—
288#13063311—21no—
289#13063311—21no—
290#13063311—21no—
291#13063310—21no—
292#13063310—21no—
293#13063310—21no—
294#13063310—21no—
295#13063310—21no—
296#13063310—21no—
297#13063309—21no—
298#13063308—21no—
299#13063307—21no—
300#13063305—21no—
301#13063305—21no—
302#13063305C2311yescharacteristic
303#13063305C2311yescharacteristic
304#13063305C2311yescharacteristic
305#13063304—21no—
306#13063304C2311yescharacteristic
307#13063304C2311yescharacteristic
308#13063303—21no—
309#13063303—21no—
310#13063303—21no—
311#13063303—21no—
312#13063303—21no—
313#13063302—21no—
314#13063302—21no—
315#13063302—21no—
316#13063302—21no—
317#13063301—21no—
318#13063301C2311yescharacteristic
319#13063301C2311yescharacteristic
320#13063300—21no—
321#13063300—21no—
322#13063300—21no—
323#13063300—21no—
324#13063300—21no—
325#13063300—21no—
326#13063300C2311yescharacteristic
327#13063300C2311yescharacteristic
328#13063300C2311yescharacteristic
329#13063300C2311yescharacteristic
330#13063300C2311yescharacteristic
331#13063300C2311yescharacteristic
332#13063299—21no—
333#13063299C2311yescharacteristic
334#13063299C2311yescharacteristic
335#13063298—21no—
336#13063298—21no—
337#13063298—21no—
338#13063298—21no—
339#13063298—21no—
340#13063298—21no—
341#13063297—21no—
342#13063297—21no—
343#13063297—21no—
344#13063296—21no—
345#13063296C2311yescharacteristic
346#13063295—21no—
347#13063295—21no—
348#13063295—21no—
349#13063293—21no—
350Q8×Dic43C2311yescharacteristic
351C4×Dic86—21no—
352C4×Dic86C2311yescharacteristic
353#13063290—21no—
354#13063290C2311yescharacteristic
355#13063290C2311yescharacteristic
356C4×D172—21no—
357C4×D172—21no—
358C4×D172—21no—
359C4×D172—21no—
360C4×D172—21no—
361C4×D172—21no—
362C4×D172C2311yescharacteristic
363C4×D172C2311yescharacteristic
364D4×Dic43—21no—
365D4×Dic43D411yescharacteristic
366#13063287—21no—
367#13063287—21no—
368#13063287—21no—
369#13063287—21no—
370#13063287—21no—
371#13063287D411yescharacteristic
372#13063287C2311yescharacteristic
373C4×C22⋊D43—21no—
374C4×C22⋊D43—21no—
375C4×C22⋊D43C2311yescharacteristic
376C4×C22⋊D43C2311yescharacteristic
377(C22⋊D43)⋊C4—21no—
378(C22⋊D43)⋊C4—21no—
379(C22⋊D43)⋊C4—21no—
380(C22⋊D43)⋊C4D411yescharacteristic
381(C22⋊D43)⋊C4D411yescharacteristic
382#13063284—21no—
383#13063283—21no—
384#13063283C2311yescharacteristic
385#13063282—21no—
386C4⋊C4×D43—21no—
387C4⋊C4×D43—21no—
388C4⋊C4×D43—21no—
389C4⋊C4×D43D411yescharacteristic
390C4⋊C4×D43C2311yescharacteristic
391C4⋊C4×D43C2311yescharacteristic
392C2×(C2×D43)⋊C4—21no—
393C22⋊C4×D43—21no—
394C22⋊C4×D43—21no—
395C22⋊C4×D43—21no—
396C22⋊C4×D43—21no—
397C22⋊C4×D43—21no—
398C22⋊C4×D43—21no—
399C22⋊C4×D43—21no—
400C22⋊C4×D43D411yescharacteristic
401C22⋊C4×D43D411yescharacteristic
402C42×D43—21no—
403C42×D43C2311yescharacteristic
404#13063258C2311yescharacteristic
405#13063258C2311yescharacteristic
406#13063257C2311yescharacteristic
407#13063256C2311yescharacteristic
408#13063256C2311yescharacteristic
409C4⋊(C43⋊C8)C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411Dic43⋊C8C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063248C2311yescharacteristic
419#13063248C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063247C2311yescharacteristic
427#13063247C2311yescharacteristic
428#13063246C2311yescharacteristic
429#13063245C2311yescharacteristic
430#13063245C2311yescharacteristic
431#13063245C2311yescharacteristic
432#13063245C2311yescharacteristic
433#13063245C2311yescharacteristic
434C22⋊(C43⋊C8)C2311yescharacteristic
435C22⋊(C43⋊C8)C2311yescharacteristic
436(C2×D43)⋊C8C2311yescharacteristic
437(C2×D43)⋊C8C2311yescharacteristic
438(C2×D43)⋊C8C2311yescharacteristic
439(C2×D43)⋊C8C2311yescharacteristic
440(C2×D43)⋊C8C2311yescharacteristic
441(C2×D43)⋊C8C2311yescharacteristic
442(C2×D43)⋊C8C2311yescharacteristic
443(C2×D43)⋊C8C2311yescharacteristic
444C4×C43⋊C8C2311yescharacteristic
445C8×Dic43C2311yescharacteristic
446C8×Dic43C2311yescharacteristic
447C2×#41×C43C2311yescharacteristic
448C22×Q8×C43C2311yescharacteristic
449C2×Q16×C43C2311yescharacteristic
450C2×Q16×C43C2311yescharacteristic
451C2×SD16×C43C2311yescharacteristic
452C2×M16×C43C2311yescharacteristic
453C2×M16×C43C2311yescharacteristic
454#126×C43—21no—
455#125×C43—21no—
456#125×C43C2311yescharacteristic
457#124×C43—21no—
458#124×C43C2311yescharacteristic
459#123×C43—21no—
460C22⋊Q8×C43—21no—
461C22⋊Q8×C43C2311yescharacteristic
462C22⋊Q8×C43C2311yescharacteristic
463C22⋊Q8×C43C2311yescharacteristic
464#121×C43—21no—
465#121×C43C2311yescharacteristic
466C4×Q8×C43C2311yescharacteristic
467C4×Q8×C43C2311yescharacteristic
468C4×D4×C43—21no—
469C4×D4×C43C2311yescharacteristic
470#117×C43—21no—
471#117×C43C2311yescharacteristic
472C2×C4⋊C4×C43C2311yescharacteristic
473#107×C43C2311yescharacteristic
474#107×C43C2311yescharacteristic
475#106×C43C2311yescharacteristic
476C4⋊C8×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478#103×C43C2311yescharacteristic
479#103×C43C2311yescharacteristic
480#103×C43C2311yescharacteristic
481#103×C43C2311yescharacteristic
482#103×C43C2311yescharacteristic
483#103×C43C2311yescharacteristic
484#102×C43C2311yescharacteristic
485#102×C43C2311yescharacteristic
486#102×C43C2311yescharacteristic
487C22⋊C8×C43C2311yescharacteristic
488C22⋊C8×C43C2311yescharacteristic
489C4×C8×C43C2311yescharacteristic
490C23×D43—21no—
491C23×D43—21no—
492C23×D43C2×D411yescharacteristic
493C23×D43C2×D411yescharacteristic
494#41×C43—22no—
495#41×C43—41no—
496C2×Q8×C43—21no—
497C2×Q8×C43—22no—
498C2×Q8×C43—41no—
499C2×Q8×C43C2411yescharacteristic
500C2×Q8×C43C2411yescharacteristic
501C2×Q8×C43C2411yescharacteristic
502C2×D4×C43—21no—
503C2×D4×C43—21no—
504C2×D4×C43C2×D411yescharacteristic
505C2×D4×C43C2411yescharacteristic
506C22×C4×C43—21no—
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43C2411yescharacteristic
510C22×C4×C43C2411yescharacteristic
511C2×C22⋊D43—21no—
512C2×C22⋊D43—21no—
513C2×C22⋊D43—21no—
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43C2×D411yescharacteristic
519C2×C22⋊D43C2×D411yescharacteristic
520C22×Dic43—21no—
521C22×Dic43—21no—
522C22×Dic43C2×D411yescharacteristic
523C22×Dic43C2×D411yescharacteristic
524#10621902—22no—
525#10621902—41no—
526#10621902—41no—
527#10621902—41no—
528Q8×D43—22no—
529Q8×D43—22no—
530Q8×D43—22no—
531Q8×D43—22no—
532Q8×D43—41no—
533Q8×D43—41no—
534Q8×D43—41no—
535Q8×D43—41no—
536Q8×D43—44no—
537Q8×D43—41no—
538Q8×D43—41no—
539Q8×D43—44no—
540#10621900—22no—
541#10621900—41no—
542#10621900—44no—
543D4×D43—42no—
544D4×D43—44no—
545D4×D43—41no—
546D4×D43—41no—
547D4×D43—44no—
548#10621898—22no—
549#10621898—41no—
550#10621898—44no—
551#10621898—41no—
552#10621898—41no—
553C2×D172—21no—
554C2×D172—21no—
555C2×D172—21no—
556C2×D172—21no—
557C2×D172—21no—
558C2×D172—21no—
559C2×D172—21no—
560C2×D172—21no—
561C2×D172—21no—
562C2×D172—44no—
563C2×D172—41no—
564C2×D172—41no—
565C2×D172C2×D411yescharacteristic
566C2×D172C2411yescharacteristic
567C2×D172C2411yescharacteristic
568C2×D172C2411yescharacteristic
569C2×C4×D43—21no—
570C2×C4×D43—21no—
571C2×C4×D43—21no—
572C2×C4×D43—21no—
573C2×C4×D43—21no—
574C2×C4×D43—21no—
575C2×C4×D43—21no—
576C2×C4×D43—21no—
577C2×C4×D43—21no—
578C2×C4×D43—21no—
579C2×C4×D43—21no—
580C2×C4×D43—21no—
581C2×C4×D43—21no—
582C2×C4×D43—41no—
583C2×C4×D43—41no—
584C2×C4×D43—41no—
585C2×C4×D43—41no—
586C2×C4×D43—44no—
587C2×C4×D43—44no—
588C2×C4×D43C2×D411yescharacteristic
589C2×C4×D43C2×D411yescharacteristic
590C2×C4×D43C2×D411yescharacteristic
591C2×C4×D43C2×D411yescharacteristic
592C2×C4×D43C2×D411yescharacteristic
593C2×C4×D43C2×D411yescharacteristic
594C2×C4×D43C2411yescharacteristic
595C2×C4×D43C2411yescharacteristic
596C2×C4×D43C2411yescharacteristic
597C2×Dic86—21no—
598C2×Dic86—22no—
599C2×Dic86—21no—
600C2×Dic86—21no—
601C2×Dic86—21no—
602C2×Dic86—21no—
603C2×Dic86—21no—
604C2×Dic86—41no—
605C2×Dic86—44no—
606C2×Dic86C2411yescharacteristic
607C2×Dic86C2411yescharacteristic
608C2×Dic86C2411yescharacteristic
609Q16×C43—22no—
610Q16×C43—41no—
611SD16×C43—41no—
612M16×C43—41no—
613M16×C43—41no—
614C2×C8×C43C2411yescharacteristic
615C2×C8×C43C2411yescharacteristic
616C2×C8×C43C2411yescharacteristic
617C2×C8×C43C2411yescharacteristic
618C4⋊C4×C43—21no—
619C4⋊C4×C43—21no—
620C4⋊C4×C43—21no—
621C4⋊C4×C43—21no—
622C4⋊C4×C43—21no—
623C4⋊C4×C43—21no—
624C4⋊C4×C43—21no—
625C4⋊C4×C43—21no—
626C4⋊C4×C43C2×D411yescharacteristic
627C4⋊C4×C43C2411yescharacteristic
628C4⋊C4×C43C2411yescharacteristic
629C4⋊C4×C43C2411yescharacteristic
630C4⋊C4×C43C2411yescharacteristic
631C22⋊C4×C43—21no—
632C22⋊C4×C43—21no—
633C22⋊C4×C43—21no—
634C22⋊C4×C43—21no—
635C22⋊C4×C43—21no—
636C22⋊C4×C43—21no—
637C22⋊C4×C43—21no—
638C22⋊C4×C43C2×D411yescharacteristic
639C22⋊C4×C43C2×D411yescharacteristic
640C42×C43—21no—
641C42×C43—21no—
642C42×C43—21no—
643C42×C43C2411yescharacteristic
644C22⋊Dic43—21no—
645C22⋊Dic43—21no—
646C22⋊Dic43—21no—
647C22⋊Dic43—21no—
648C22⋊Dic43—21no—
649C22⋊Dic43C2×D411yescharacteristic
650C22⋊Dic43C2×D411yescharacteristic
651#10621885—22no—
652#10621885—22no—
653#10621885—41no—
654#10621885—41no—
655#10621884—22no—
656#10621884—22no—
657#10621884—41no—
658#10621884—41no—
659#10621884—41no—
660#10621883—41no—
661#10621882—41no—
662#10621882—41no—
663(C2×D43)⋊C4—21no—
664(C2×D43)⋊C4—21no—
665(C2×D43)⋊C4—21no—
666(C2×D43)⋊C4—21no—
667(C2×D43)⋊C4—21no—
668(C2×D43)⋊C4—21no—
669(C2×D43)⋊C4—21no—
670(C2×D43)⋊C4—21no—
671(C2×D43)⋊C4—21no—
672(C2×D43)⋊C4—21no—
673(C2×D43)⋊C4—21no—
674(C2×D43)⋊C4—21no—
675(C2×D43)⋊C4—21no—
676(C2×D43)⋊C4—21no—
677(C2×D43)⋊C4—21no—
678(C2×D43)⋊C4—21no—
679(C2×D43)⋊C4—21no—
680(C2×D43)⋊C4—21no—
681(C2×D43)⋊C4—21no—
682(C2×D43)⋊C4—21no—
683(C2×D43)⋊C4—21no—
684(C2×D43)⋊C4—21no—
685(C2×D43)⋊C4—21no—
686(C2×D43)⋊C4—21no—
687(C2×D43)⋊C4C2×D411yescharacteristic
688(C2×D43)⋊C4C2×D411yescharacteristic
689(C2×D43)⋊C4C2×D411yescharacteristic
690(C2×D43)⋊C4C2×D411yescharacteristic
691C4⋊Dic43—21no—
692C4⋊Dic43—21no—
693C4⋊Dic43—21no—
694C4⋊Dic43—21no—
695C4⋊Dic43—21no—
696C4⋊Dic43C2×D411yescharacteristic
697C4⋊Dic43C2411yescharacteristic
698C4⋊Dic43C2411yescharacteristic
699Dic43⋊C4—21no—
700Dic43⋊C4—21no—
701Dic43⋊C4—21no—
702Dic43⋊C4—21no—
703Dic43⋊C4—21no—
704Dic43⋊C4—21no—
705Dic43⋊C4—21no—
706Dic43⋊C4—21no—
707Dic43⋊C4—21no—
708Dic43⋊C4—21no—
709Dic43⋊C4C2×D411yescharacteristic
710Dic43⋊C4C2×D411yescharacteristic
711C4×Dic43—21no—
712C4×Dic43—21no—
713C4×Dic43—21no—
714C4×Dic43—21no—
715C4×Dic43—21no—
716C4×Dic43C2×D411yescharacteristic
717C4×Dic43C2×D411yescharacteristic
718C4×Dic43C2411yescharacteristic
719#10621877—41no—
720#10621877—41no—
721C2×C43⋊C8C2411yescharacteristic
722C2×C43⋊C8C2411yescharacteristic
723C2×C43⋊C8C2411yescharacteristic
724C2×C43⋊C8C2411yescharacteristic
725Dic172—22no—
726Dic172—41no—
727D344—41no—
728D344—41no—
729#10621873—22no—
730#10621873—22no—
731#10621873—41no—
732#10621873—41no—
733#10621873—41no—
734#10621872—41no—
735#10621872—41no—
736#10621872—41no—
737#10621872—41no—
738C23×C43—21no—
739C23×C43C22×D411yescharacteristic
740C23×C43C22×D411yescharacteristic
741C22×D43—22no—
742C22×D43—22no—
743C22×D43—21no—
744C22×D43—21no—
745C22×D43—21no—
746C22×D43—41no—
747C22×D43—41no—
748C22×D43—41no—
749C22×D43—41no—
750C22×D43—42no—
751C22×D43—42no—
752C22×D43—42no—
753C22×D43—42no—
754C22×D43—81no—
755C22×D43—81no—
756C22×D43C22×D411yescharacteristic
757C22×D43C22×D411yescharacteristic
758C22×D43C22×D411yescharacteristic
759Q8×C43—21no—
760Q8×C43—21no—
761Q8×C43—21no—
762Q8×C43—21no—
763Q8×C43—21no—
764Q8×C43—42no—
765Q8×C43H(5,𝔽2)12yes—
766D4×C43—21no—
767D4×C43—21no—
768D4×C43—41no—
769D4×C43—42no—
770D4×C43—42no—
771C2×C4×C43—21no—
772C2×C4×C43—21no—
773C2×C4×C43—21no—
774C2×C4×C43—21no—
775C2×C4×C43—21no—
776C2×C4×C43—21no—
777C2×C4×C43—21no—
778C2×C4×C43—21no—
779C2×C4×C43—21no—
780C2×C4×C43—21no—
781C2×C4×C43—21no—
782C2×C4×C43—42no—
783C2×C4×C43—42no—
784C2×C4×C43—42no—
785C2×C4×C43C22×D411yescharacteristic
786C2×C4×C43C22×D411yescharacteristic
787C2×C4×C43C22×D411yescharacteristic
788C2×C4×C43C22×D411yescharacteristic
789C2×C4×C43C2511yescharacteristic
790C22⋊D43—41no—
791C22⋊D43—41no—
792C22⋊D43—42no—
793C22⋊D43—42no—
794C22⋊D43—42no—
795C22⋊D43—42no—
796C22⋊D43—42no—
797C22⋊D43—81no—
798C22⋊D43—81no—
799C2×Dic43—21no—
800C2×Dic43—21no—
801C2×Dic43—21no—
802C2×Dic43—21no—
803C2×Dic43—21no—
804C2×Dic43—41no—
805C2×Dic43—41no—
806C2×Dic43—42no—
807C2×Dic43—42no—
808C2×Dic43C22×D411yescharacteristic
809C2×Dic43C22×D411yescharacteristic
810C2×Dic43C22×D411yescharacteristic
811C2×Dic43C22×D411yescharacteristic
812C2×Dic43C22×D411yescharacteristic
813D172—21no—
814D172—21no—
815D172—21no—
816D172—21no—
817D172—21no—
818D172—21no—
819D172—41no—
820D172—42no—
821D172—42no—
822D172—42no—
823D172—42no—
824D172—42no—
825D172—42no—
826D172—81no—
827D172—81no—
828D172—81no—
829C4×D43—24no—
830C4×D43—22no—
831C4×D43—21no—
832C4×D43—21no—
833C4×D43—21no—
834C4×D43—21no—
835C4×D43—21no—
836C4×D43—21no—
837C4×D43—41no—
838C4×D43—41no—
839C4×D43—41no—
840C4×D43—41no—
841C4×D43—41no—
842C4×D43—42no—
843C4×D43—42no—
844C4×D43—42no—
845C4×D43—42no—
846C4×D43—42no—
847C4×D43—42no—
848C4×D43—81no—
849C4×D43—81no—
850C4×D43—81no—
851C4×D43—81no—
852C4×D43—81no—
853C4×D43—81no—
854Dic86—24no—
855Dic86—21no—
856Dic86—21no—
857Dic86—21no—
858Dic86—21no—
859Dic86—21no—
860Dic86—42no—
861Dic86—42no—
862Dic86—42no—
863Dic86—42no—
864Dic86—81no—
865Dic86H(5,𝔽2)12yes—
866C8×C43—21no—
867C8×C43—21no—
868C8×C43—21no—
869C8×C43—21no—
870C43⋊C8—21no—
871C43⋊C8—21no—
872C43⋊C8—21no—
873C43⋊C8—21no—
874#61583—431nomaximal, Sylow
875C22×C43—21no—
876C22×C43—21no—
877C22×C43—21no—
878C22×C43—21no—
879C22×C43—21no—
880C22×C43—21no—
881C22×C43—41no—
882C22×C43—41no—
883C22×C43—41no—
884C22×C43C23×D411yescharacteristic
885C2×D43—21no—
886C2×D43—21no—
887C2×D43—21no—
888C2×D43—21no—
889C2×D43—21no—
890C2×D43—21no—
891C2×D43—21no—
892C2×D43—21no—
893C2×D43—44no—
894C2×D43—41no—
895C2×D43—41no—
896C2×D43—41no—
897C2×D43—41no—
898C2×D43—41no—
899C2×D43—41no—
900C2×D43—41no—
901C2×D43—41no—
902C2×D43—41no—
903C2×D43—82no—
904C2×D43—84no—
905C2×D43—162no—
906C2×D43#57512yes—
907C4×C43—21no—
908C4×C43—22no—
909C4×C43—21no—
910C4×C43—21no—
911C4×C43—21no—
912C4×C43—41no—
913C4×C43—41no—
914C4×C43—41no—
915C4×C43—41no—
916C4×C43—41no—
917C4×C43—41no—
918C4×C43C2×H(5,𝔽2)11yescharacteristic
919C4×C43C2×H(5,𝔽2)11yescharacteristic
920Dic43—21no—
921Dic43—21no—
922Dic43—22no—
923Dic43—21no—
924Dic43—21no—
925Dic43—21no—
926Dic43—41no—
927Dic43—41no—
928Dic43—41no—
929Dic43—41no—
930#3505—431no—
931C2×#548—431no—
932#3327—431no—
933#3327—431no—
934#3327—431no—
935#3327D4311yescharacteristic, complemented
936#3326—431no—
937#3326—431no—
938#3326—431no—
939#3326—431no—
940#3277—431no—
941#3277—431no—
942#3277—431no—
943#3277—431no—
944#3275—431no—
945#3275—431no—
946#3275—431no—
947#3275—431no—
948#3211—431no—
949#3211—431no—
950#3195—431no—
951#3194—431no—
952#3194—431no—
953#3193—431no—
954#3108—431no—
955#3108—431no—
956#3007—431no—
957#3006—431no—
958#3004—431no—
959#3004—431no—
960#2975—431no—
961C2×C43—41no—
962C2×C43—41no—
963C2×C43—81no—
964C2×C43#348411yescharacteristic
965C2×C43C2×#57511yescharacteristic
966C2×C43#358611yescharacteristic
967D43—22no—
968D43—41no—
969D43—41no—
970D43—81no—
971D43—81no—
972D43—81no—
973C22×#41—431no—
974C23×Q8—431no—
975C2×#137—431no—
976C2×#137—431no—
977C2×#137—431no—
978C2×#137—431no—
979C2×#137—431no—
980C2×#137—431no—
981C2×AGL(1,ℤ/8)—431no—
982C2×AGL(1,ℤ/8)—431no—
983#553—431no—
984#553—431no—
985#553—861no—
986#553—861no—
987#552—431no—
988#552C2×D4311yescharacteristic, complemented
989#551—861no—
990#551—861no—
991#548—431no—
992#548—431no—
993#548—431no—
994#548—431no—
995#548—431no—
996#548—431no—
997#548—431no—
998#548—431no—
999#548—431no—
1000#548—861no—
1001#548—861no—
1002#548—861no—
1003#548—861no—
1004#548C2×D4311yescharacteristic
1005#546—431no—
1006#546—431no—
1007#539—861no—
1008#538—861no—
1009#534—861no—
1010#529—431no—
1011#529—431no—
1012C2×#124—431no—
1013C2×#124—861no—
1014#525—431no—
1015#525—431no—
1016C2×C22⋊Q8—431no—
1017C2×C22⋊Q8—431no—
1018C2×C22⋊Q8—861no—
1019C2×#121—431no—
1020C2×#121—431no—
1021C2×#121—861no—
1022#518—861no—
1023C2×C4×Q8—431no—
1024C2×C4×D4—431no—
1025C2×C4×D4—861no—
1026#495—431no—
1027#495—431no—
1028#495—431no—
1029#495—431no—
1030#488—431no—
1031#488—431no—
1032#488—431no—
1033#488C2×D4311yescharacteristic, complemented
1034#484—431no—
1035#484C2×D4311yescharacteristic, complemented
1036#483—431no—
1037#483—431no—
1038#483—431no—
1039#483—431no—
1040#482—431no—
1041#482—431no—
1042#482—431no—
1043#482C2×D4311yescharacteristic, complemented
1044#480—431no—
1045#480—431no—
1046#479—431no—
1047#479—431no—
1048#479—431no—
1049#479C2×D4311yescharacteristic, complemented
1050#470—431no—
1051#470—431no—
1052#470—431no—
1053#470C2×D4311yescharacteristic, complemented
1054#469—431no—
1055#469—431no—
1056#469—431no—
1057#469—431no—
1058#468—431no—
1059#468—431no—
1060#468—431no—
1061#468—431no—
1062#468—431no—
1063#468—431no—
1064#468—431no—
1065#468C2×D4311yescharacteristic, complemented
1066#464—431no—
1067#464—431no—
1068#464—431no—
1069#464—431no—
1070#464—431no—
1071#464—431no—
1072#464—431no—
1073#464C2×D4311yescharacteristic, complemented
1074#463—431no—
1075#463—431no—
1076#463—431no—
1077#463—431no—
1078#452—431no—
1079#452—431no—
1080#452—431no—
1081#452C2×D4311yescharacteristic, complemented
1082#451—431no—
1083#451—431no—
1084#451—431no—
1085#451—431no—
1086#451—431no—
1087#451—431no—
1088#451—431no—
1089#451—431no—
1090#451—431no—
1091#451C2×D4311yescharacteristic, complemented
1092#450—431no—
1093#450—431no—
1094#450—431no—
1095#450—431no—
1096#449—431no—
1097#449—431no—
1098#449—431no—
1099#449—431no—
1100#449—431no—
1101#449—431no—
1102#449—431no—
1103#449—431no—
1104#448—431no—
1105#448—431no—
1106#448—431no—
1107#448—431no—
1108#448—431no—
1109#448—431no—
1110#448—431no—
1111#448—431no—
1112#447—431no—
1113#447—431no—
1114C4×Q16—431no—
1115C4×Q16—431no—
1116C4×Q16—431no—
1117C4×Q16C2×D4311yescharacteristic, complemented
1118C4×SD16—431no—
1119C4×SD16—431no—
1120C4×SD16—431no—
1121C4×SD16—431no—
1122#436—431no—
1123#436—431no—
1124#436—431no—
1125#436—431no—
1126#436—431no—
1127#436—431no—
1128#436—431no—
1129#436C2×D4311yescharacteristic, complemented
1130#431—431no—
1131#431—431no—
1132#419—431no—
1133#419—431no—
1134#419—431no—
1135#419C2×D4311yescharacteristic, complemented
1136#417—431no—
1137#417—431no—
1138#417—431no—
1139#417C2×D4311yescharacteristic, complemented
1140#407—431no—
1141#407—431no—
1142#407—431no—
1143#407—431no—
1144C43#6158311yescharacteristic, complemented, Sylow
1145C2×#41—431no—
1146C2×#41—431no—
1147C2×#41—431no—
1148C2×#41—431no—
1149C2×#41—431no—
1150C2×#41—861no—
1151C2×#41—861no—
1152C2×#41—1722no—
1153C2×#41—1722no—
1154C2×#41C22×D4311yescharacteristic
1155C22×Q8—431no—
1156C22×Q8—431no—
1157C22×Q8—431no—
1158C22×Q8—431no—
1159C22×Q8—431no—
1160C22×Q8—431no—
1161C22×Q8—861no—
1162C22×Q8—861no—
1163C22×Q8—861no—
1164C22×Q8—1722no—
1165C22×Q8—1722no—
1166C22×Q8C22×D4311yescharacteristic
1167C22×D4—431no—
1168C22×D4—431no—
1169C22×D4—431no—
1170C22×D4—861no—
1171C22×D4—861no—
1172C22×D4—861no—
1173C23×C4—431no—
1174C23×C4—431no—
1175C23×C4—861no—
1176C23×C4—861no—
1177#137—1722no—
1178#137—1722no—
1179#137—1722no—
1180#137—1722no—
1181#137—1722no—
1182#137—1722no—
1183AGL(1,ℤ/8)—1722no—
1184AGL(1,ℤ/8)—1722no—
1185C2×Q16—431no—
1186C2×Q16—431no—
1187C2×Q16—431no—
1188C2×Q16—431no—
1189C2×Q16—431no—
1190C2×Q16—431no—
1191C2×Q16C22×D4311yescharacteristic
1192C2×Q16C22×D4311yescharacteristic
1193C2×SD16—431no—
1194C2×SD16—431no—
1195C2×SD16—431no—
1196C2×SD16—431no—
1197C2×SD16—431no—
1198C2×SD16—431no—
1199C2×SD16—431no—
1200C2×SD16—431no—
1201C2×SD16—431no—
1202C2×SD16—431no—
1203C2×SD16—431no—
1204C2×SD16C22×D4311yescharacteristic
1205C2×D8—431no—
1206C2×D8—431no—
1207C2×D8—431no—
1208C2×D8—431no—
1209C2×M16—431no—
1210C2×M16—431no—
1211C2×M16—431no—
1212C2×M16—431no—
1213C2×M16—431no—
1214C2×M16—431no—
1215C2×M16C22×D4311yescharacteristic
1216C2×M16C22×D4311yescharacteristic
1217#126—21no—
1218#126—861no—
1219#126—861no—
1220#126—861no—
1221#126—861no—
1222#126—861no—
1223#125—21no—
1224#125—431no—
1225#125—861no—
1226#125C22×D4311yescharacteristic
1227#124—21no—
1228#124—431no—
1229#124—431no—
1230#124—431no—
1231#124—431no—
1232#124—431no—
1233#124—861no—
1234#124—861no—
1235#124—861no—
1236#124—861no—
1237#124—861no—
1238#124—861no—
1239#124—861no—
1240#124—861no—
1241#124—861no—
1242#124—861no—
1243#124—861no—
1244#124C22×D4311yescharacteristic
1245#123—21no—
1246#123—861no—
1247#123—861no—
1248#123—861no—
1249#123—861no—
1250#123—861no—
1251#123—861no—
1252#123—861no—
1253#123—861no—
1254#123—861no—
1255C22⋊Q8—21no—
1256C22⋊Q8—431no—
1257C22⋊Q8—431no—
1258C22⋊Q8—431no—
1259C22⋊Q8—431no—
1260C22⋊Q8—431no—
1261C22⋊Q8—431no—
1262C22⋊Q8—431no—
1263C22⋊Q8—861no—
1264C22⋊Q8—861no—
1265C22⋊Q8—861no—
1266C22⋊Q8—861no—
1267C22⋊Q8—861no—
1268C22⋊Q8—861no—
1269C22⋊Q8—861no—
1270C22⋊Q8—861no—
1271C22⋊Q8—861no—
1272C22⋊Q8—861no—
1273C22⋊Q8—861no—
1274C22⋊Q8—861no—
1275C22⋊Q8—861no—
1276C22⋊Q8C22×D4311yescharacteristic
1277C22⋊Q8C22×D4311yescharacteristic
1278C22⋊Q8C22×D4311yescharacteristic
1279#121—21no—
1280#121—431no—
1281#121—431no—
1282#121—431no—
1283#121—431no—
1284#121—431no—
1285#121—431no—
1286#121—431no—
1287#121—431no—
1288#121—431no—
1289#121—861no—
1290#121—861no—
1291#121—861no—
1292#121—861no—
1293#121—861no—
1294#121—861no—
1295#121—861no—
1296#121—861no—
1297#121—861no—
1298#121—861no—
1299#121—861no—
1300#121—861no—
1301#121—861no—
1302#121—861no—
1303#121—861no—
1304#121—861no—
1305#121—861no—
1306#121C22×D4311yescharacteristic
1307#120—861no—
1308#120—861no—
1309#120—861no—
1310#120—861no—
1311C4×Q8—431no—
1312C4×Q8—431no—
1313C4×Q8—431no—
1314C4×Q8—431no—
1315C4×Q8—861no—
1316C4×Q8—861no—
1317C4×Q8C22×D4311yescharacteristic
1318C4×Q8C22×D4311yescharacteristic
1319C4×D4—21no—
1320C4×D4—431no—
1321C4×D4—431no—
1322C4×D4—431no—
1323C4×D4—431no—
1324C4×D4—431no—
1325C4×D4—431no—
1326C4×D4—431no—
1327C4×D4—431no—
1328C4×D4—431no—
1329C4×D4—861no—
1330C4×D4—861no—
1331C4×D4—861no—
1332C4×D4—861no—
1333C4×D4—861no—
1334C4×D4—861no—
1335C4×D4—861no—
1336C4×D4—861no—
1337C4×D4—861no—
1338C4×D4—861no—
1339C4×D4—861no—
1340C4×D4—861no—
1341C4×D4—861no—
1342C4×D4—861no—
1343C4×D4—861no—
1344C4×D4—861no—
1345C4×D4—861no—
1346C4×D4C22×D4311yescharacteristic
1347#117—21no—
1348#117—431no—
1349#117—861no—
1350#117—861no—
1351#117—861no—
1352#117C22×D4311yescharacteristic
1353C2×C4⋊C4—431no—
1354C2×C4⋊C4—431no—
1355C2×C4⋊C4—431no—
1356C2×C4⋊C4—861no—
1357C2×C4⋊C4—861no—
1358C2×C4⋊C4—861no—
1359C2×C4⋊C4C22×D4311yescharacteristic
1360C2×C22⋊C4—431no—
1361C2×C22⋊C4—431no—
1362C2×C22⋊C4—861no—
1363C2×C22⋊C4—861no—
1364C2×C22⋊C4—861no—
1365C2×C22⋊C4—861no—
1366C2×C22⋊C4—861no—
1367C2×C22⋊C4—861no—
1368C2×C22⋊C4—861no—
1369C2×C22⋊C4—861no—
1370C2×C42—431no—
1371C2×C42—861no—
1372#107—431no—
1373#107—431no—
1374#107C22×D4311yescharacteristic
1375#107C22×D4311yescharacteristic
1376#106—431no—
1377#106—431no—
1378#106—431no—
1379#106C22×D4311yescharacteristic
1380C4⋊C8—431no—
1381C4⋊C8—431no—
1382C4⋊C8—431no—
1383C4⋊C8C22×D4311yescharacteristic
1384#103—431no—
1385#103—431no—
1386#103—431no—
1387#103—431no—
1388#103—431no—
1389#103—431no—
1390#103—431no—
1391#103—431no—
1392#103—431no—
1393#103—431no—
1394#103—431no—
1395#103—431no—
1396#103—431no—
1397#103C22×D4311yescharacteristic
1398#103C22×D4311yescharacteristic
1399#103C22×D4311yescharacteristic
1400#103C22×D4311yescharacteristic
1401#103C22×D4311yescharacteristic
1402#103C22×D4311yescharacteristic
1403#103C22×D4311yescharacteristic
1404#102—431no—
1405#102—431no—
1406#102—431no—
1407#102—431no—
1408#102—431no—
1409#102—431no—
1410#102—431no—
1411#102—431no—
1412#102—431no—
1413#102C22×D4311yescharacteristic
1414#102C22×D4311yescharacteristic
1415#102C22×D4311yescharacteristic
1416C22⋊C8—431no—
1417C22⋊C8—431no—
1418C22⋊C8—431no—
1419C22⋊C8—431no—
1420C22⋊C8—431no—
1421C22⋊C8—431no—
1422C22⋊C8—431no—
1423C22⋊C8—431no—
1424C22⋊C8—431no—
1425C22⋊C8—431no—
1426C22⋊C8C22×D4311yescharacteristic
1427C22⋊C8C22×D4311yescharacteristic
1428C4×C8—431no—
1429C4×C8—431no—
1430C4×C8—431no—
1431C4×C8C22×D4311yescharacteristic
1432C24—431no—
1433C24—431no—
1434C24—861no—
1435C24—861no—
1436#41—22no—
1437#41—41no—
1438#41—862no—
1439#41—862no—
1440#41—862no—
1441#41—1721no—
1442#41—1721no—
1443#41—1721no—
1444#41—1724no—
1445#41—1721no—
1446#41—1721no—
1447#41—1721no—
1448#41—1721no—
1449#41—1724no—
1450C2×Q8—21no—
1451C2×Q8—22no—
1452C2×Q8—41no—
1453C2×Q8—431no—
1454C2×Q8—431no—
1455C2×Q8—431no—
1456C2×Q8—861no—
1457C2×Q8—861no—
1458C2×Q8—861no—
1459C2×Q8—861no—
1460C2×Q8—861no—
1461C2×Q8—862no—
1462C2×Q8—862no—
1463C2×Q8—862no—
1464C2×Q8—861no—
1465C2×Q8—862no—
1466C2×Q8—862no—
1467C2×Q8—1721no—
1468C2×Q8—1724no—
1469C2×Q8—1721no—
1470C2×Q8—1721no—
1471C2×Q8—1721no—
1472C2×Q8—1721no—
1473C2×Q8—1721no—
1474C2×Q8—1721no—
1475C2×Q8—1724no—
1476C2×Q8—1724no—
1477C2×Q8C23×D4311yescharacteristic
1478C2×Q8C23×D4311yescharacteristic
1479C2×Q8C23×D4311yescharacteristic
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—431no—
1483C2×D4—431no—
1484C2×D4—431no—
1485C2×D4—431no—
1486C2×D4—431no—
1487C2×D4—431no—
1488C2×D4—861no—
1489C2×D4—861no—
1490C2×D4—861no—
1491C2×D4—861no—
1492C2×D4—861no—
1493C2×D4—861no—
1494C2×D4—861no—
1495C2×D4—861no—
1496C2×D4—861no—
1497C2×D4—861no—
1498C2×D4—861no—
1499C2×D4—861no—
1500C2×D4—861no—
1501C2×D4—861no—
1502C2×D4—861no—
1503C2×D4—861no—
1504C2×D4—1721no—
1505C2×D4—1721no—
1506C2×D4—1724no—
1507C2×D4—1721no—
1508C2×D4—1721no—
1509C2×D4—1722no—
1510C2×D4—1724no—
1511C2×D4—1724no—
1512C2×D4D4×D4311yescharacteristic
1513C2×D4C23×D4311yescharacteristic
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—431no—
1518C22×C4—431no—
1519C22×C4—431no—
1520C22×C4—431no—
1521C22×C4—431no—
1522C22×C4—431no—
1523C22×C4—431no—
1524C22×C4—431no—
1525C22×C4—431no—
1526C22×C4—431no—
1527C22×C4—431no—
1528C22×C4—861no—
1529C22×C4—861no—
1530C22×C4—861no—
1531C22×C4—861no—
1532C22×C4—861no—
1533C22×C4—861no—
1534C22×C4—861no—
1535C22×C4—861no—
1536C22×C4—861no—
1537C22×C4—861no—
1538C22×C4—861no—
1539C22×C4—861no—
1540C22×C4—861no—
1541C22×C4—861no—
1542C22×C4—861no—
1543C22×C4—1721no—
1544C22×C4—1721no—
1545C22×C4—1721no—
1546C22×C4—1721no—
1547C22×C4—1724no—
1548C22×C4—1724no—
1549C22×C4C23×D4311yescharacteristic
1550C22×C4C23×D4311yescharacteristic
1551Q16—22no—
1552Q16—41no—
1553Q16—862no—
1554Q16—862no—
1555Q16—862no—
1556Q16—1721no—
1557Q16—1721no—
1558Q16—1721no—
1559SD16—41no—
1560SD16—862no—
1561SD16—862no—
1562SD16—862no—
1563SD16—862no—
1564SD16—1721no—
1565SD16—1721no—
1566SD16—1721no—
1567SD16—1721no—
1568SD16—1721no—
1569SD16—1721no—
1570SD16—1721no—
1571D8—1721no—
1572D8—1721no—
1573D8—1721no—
1574D8—1721no—
1575M16—41no—
1576M16—41no—
1577M16—1721no—
1578M16—1721no—
1579M16—1721no—
1580M16—1721no—
1581M16—1721no—
1582M16—1721no—
1583C2×C8—431no—
1584C2×C8—431no—
1585C2×C8—431no—
1586C2×C8—431no—
1587C2×C8C23×D4311yescharacteristic
1588C2×C8C23×D4311yescharacteristic
1589C2×C8C23×D4311yescharacteristic
1590C2×C8C23×D4311yescharacteristic
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—21no—
1599C4⋊C4—431no—
1600C4⋊C4—431no—
1601C4⋊C4—431no—
1602C4⋊C4—431no—
1603C4⋊C4—431no—
1604C4⋊C4—861no—
1605C4⋊C4—861no—
1606C4⋊C4—861no—
1607C4⋊C4—861no—
1608C4⋊C4—861no—
1609C4⋊C4—861no—
1610C4⋊C4—861no—
1611C4⋊C4—861no—
1612C4⋊C4—861no—
1613C4⋊C4—861no—
1614C4⋊C4—861no—
1615C4⋊C4—861no—
1616C4⋊C4—861no—
1617C4⋊C4—861no—
1618C4⋊C4—861no—
1619C4⋊C4D4×D4311yescharacteristic
1620C4⋊C4C23×D4311yescharacteristic
1621C4⋊C4C23×D4311yescharacteristic
1622C4⋊C4C23×D4311yescharacteristic
1623C4⋊C4C23×D4311yescharacteristic
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—431no—
1632C22⋊C4—431no—
1633C22⋊C4—431no—
1634C22⋊C4—431no—
1635C22⋊C4—431no—
1636C22⋊C4—431no—
1637C22⋊C4—861no—
1638C22⋊C4—861no—
1639C22⋊C4—861no—
1640C22⋊C4—861no—
1641C22⋊C4—861no—
1642C22⋊C4—861no—
1643C22⋊C4—861no—
1644C22⋊C4—861no—
1645C22⋊C4—861no—
1646C22⋊C4—861no—
1647C22⋊C4—861no—
1648C22⋊C4—861no—
1649C22⋊C4—861no—
1650C22⋊C4—861no—
1651C22⋊C4—861no—
1652C22⋊C4—861no—
1653C22⋊C4—861no—
1654C22⋊C4—861no—
1655C22⋊C4—861no—
1656C22⋊C4—861no—
1657C22⋊C4—861no—
1658C22⋊C4—861no—
1659C22⋊C4—861no—
1660C22⋊C4—861no—
1661C22⋊C4—861no—
1662C22⋊C4—861no—
1663C22⋊C4—861no—
1664C22⋊C4—861no—
1665C22⋊C4—861no—
1666C22⋊C4D4×D4311yescharacteristic
1667C22⋊C4D4×D4311yescharacteristic
1668C42—21no—
1669C42—21no—
1670C42—21no—
1671C42—431no—
1672C42—431no—
1673C42—431no—
1674C42—861no—
1675C42—861no—
1676C42—861no—
1677C42—861no—
1678C42—861no—
1679C42C23×D4311yescharacteristic
1680C23—21no—
1681C23—431no—
1682C23—431no—
1683C23—431no—
1684C23—862no—
1685C23—862no—
1686C23—861no—
1687C23—861no—
1688C23—861no—
1689C23—3441no—
1690C23—3441no—
1691C23—1721no—
1692C23—1721no—
1693C23—1721no—
1694C23—1721no—
1695C23—1722no—
1696C23—1722no—
1697C23—1722no—
1698C23—1722no—
1699C23C2×D4×D4311yescharacteristic
1700C23C2×D4×D4311yescharacteristic
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—21no—
1706Q8—42no—
1707Q8—432no—
1708Q8—864no—
1709Q8—861no—
1710Q8—861no—
1711Q8—861no—
1712Q8—861no—
1713Q8—861no—
1714Q8—3441no—
1715Q8—1722no—
1716Q8—1722no—
1717Q8—1722no—
1718Q8—1722no—
1719Q8#1306337112yes—
1720D4—21no—
1721D4—21no—
1722D4—41no—
1723D4—42no—
1724D4—42no—
1725D4—861no—
1726D4—861no—
1727D4—861no—
1728D4—861no—
1729D4—861no—
1730D4—861no—
1731D4—3441no—
1732D4—3441no—
1733D4—3441no—
1734D4—3441no—
1735D4—3441no—
1736D4—1721no—
1737D4—1722no—
1738D4—1722no—
1739D4—1722no—
1740D4—1722no—
1741D4—1722no—
1742D4—1722no—
1743D4—1721no—
1744D4—1721no—
1745D4—1722no—
1746D4—1722no—
1747D4—1722no—
1748D4—1722no—
1749D4—1722no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—42no—
1762C2×C4—42no—
1763C2×C4—42no—
1764C2×C4—431no—
1765C2×C4—431no—
1766C2×C4—431no—
1767C2×C4—431no—
1768C2×C4—431no—
1769C2×C4—862no—
1770C2×C4—864no—
1771C2×C4—861no—
1772C2×C4—861no—
1773C2×C4—861no—
1774C2×C4—861no—
1775C2×C4—861no—
1776C2×C4—861no—
1777C2×C4—861no—
1778C2×C4—861no—
1779C2×C4—861no—
1780C2×C4—861no—
1781C2×C4—861no—
1782C2×C4—3441no—
1783C2×C4—3441no—
1784C2×C4—3441no—
1785C2×C4—3441no—
1786C2×C4—3441no—
1787C2×C4—3441no—
1788C2×C4—1721no—
1789C2×C4—1721no—
1790C2×C4—1721no—
1791C2×C4—1721no—
1792C2×C4—1721no—
1793C2×C4—1722no—
1794C2×C4—1722no—
1795C2×C4—1722no—
1796C2×C4—1722no—
1797C2×C4—1722no—
1798C2×C4—1722no—
1799C2×C4—1721no—
1800C2×C4—1721no—
1801C2×C4—1722no—
1802C2×C4—1722no—
1803C2×C4C2×D4×D4311yescharacteristic
1804C2×C4C2×D4×D4311yescharacteristic
1805C2×C4C2×D4×D4311yescharacteristic
1806C2×C4C2×D4×D4311yescharacteristic
1807C2×C4C24×D4311yescharacteristic
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—861no—
1813C8—861no—
1814C8—861no—
1815C8—861no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—432no—
1826C22—861no—
1827C22—861no—
1828C22—861no—
1829C22—861no—
1830C22—861no—
1831C22—861no—
1832C22—861no—
1833C22—861no—
1834C22—3442no—
1835C22—3444no—
1836C22—1724no—
1837C22—1721no—
1838C22—1721no—
1839C22—1721no—
1840C22—1721no—
1841C22—1721no—
1842C22—1721no—
1843C22—1721no—
1844C22—1721no—
1845C22—1721no—
1846C22—6882no—
1847C22C22×D4×D4311yescharacteristic
1848C4—21no—
1849C4—21no—
1850C4—21no—
1851C4—21no—
1852C4—22no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—41no—
1859C4—861no—
1860C4—861no—
1861C4—861no—
1862C4—861no—
1863C4—861no—
1864C4—862no—
1865C4—1721no—
1866C4—1721no—
1867C4—1721no—
1868C4—1721no—
1869C4H(5,𝔽2)×D4311yescharacteristic
1870C4C2×#1306337111yescharacteristic
1871C2—41no—
1872C2—41no—
1873C2—81no—
1874C2—862no—
1875C2—3441no—
1876C2—3441no—
1877C2—3441no—
1878C2—1721no—
1879C2—1721no—
1880C2#1914822511yescharacteristic
1881C2#575×D4311yescharacteristic
1882C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3327C2
socleC22×C43C23×D4
hypercenter#3327D43
hypocenterC43#61583
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3327

Complements

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

NH ≅ G/Ntype
1. #19148435C2semidirect
2. #548×D43C2semidirect
3. #19146866C2semidirect
4. #19146864C2semidirect
5. #19146857C2semidirect
6. #19146847C2semidirect
7. #19146846C2semidirect
8. #19146845C2semidirect
9. #19146844C2semidirect
10. #19146252C2semidirect
11. #19146251C2semidirect
12. #19146249C2semidirect
13. #19146247C2semidirect
14. #19146231C2semidirect
15. #19146227C2semidirect
16. #19146223C2semidirect
17. #19146219C2semidirect
18. #19145564C2semidirect
19. #19145561C2semidirect
20. #19145415C2semidirect
21. #19145413C2semidirect
22. #19145410C2semidirect
23. #19145400C2semidirect
24. #19144680C2semidirect
25. #19144679C2semidirect
26. #19143852C2semidirect
27. #19143848C2semidirect
28. #19143831C2semidirect
29. #19143830C2semidirect
30. #19143633C2semidirect
31. C43×#3327C2semidirect
33. C22×Q8×D43C22semidirect
34. C2×#13063358C22semidirect
35. C2×#13063357C22semidirect
36. C2×#13063357C22semidirect
37. C2×#13063357C22semidirect
38. C2×#13063356C22semidirect
39. C2×#13063354C22semidirect
40. C2×#13063353C22semidirect
41. C2×#13063350C22semidirect
43. #14583602C22semidirect
45. #14583593C22semidirect
46. #14583584C22semidirect
49. #14583561C22semidirect
50. #14583561C22semidirect
51. #14583560C22semidirect
54. #14583559C22semidirect
58. #14583557C22semidirect
61. #14583555C22semidirect
62. #14583545C22semidirect
63. #14583540C22semidirect
70. #124×D43C22semidirect
78. #121×D43C22semidirect
80. C4×Q8×D43C22semidirect
83. #14583284C22semidirect
84. #14583283C22semidirect
85. #14583281C22semidirect
86. #14583280C22semidirect
87. #14583256C22semidirect
88. #14583255C22semidirect
89. #14583252C22semidirect
90. #14583234C22semidirect
91. #14583231C22semidirect
92. #14583231C22semidirect
93. #14583228C22semidirect
94. #14583228C22semidirect
95. #14583226C22semidirect
96. #14583223C22semidirect
97. #14583222C22semidirect
100. #14583205C22semidirect
101. #14583204C22semidirect
102. #14583203C22semidirect
103. #14583157C22semidirect
104. #14583155C22semidirect
105. #14583155C22semidirect
106. #14583153C22semidirect
107. #14583152C22semidirect
108. #14583151C22semidirect
109. #14583150C22semidirect
110. #14583148C22semidirect
111. #14583148C22semidirect
112. #14583147C22semidirect
113. #14583146C22semidirect
114. #14583146C22semidirect
115. #14583146C22semidirect
116. #14583144C22semidirect
117. #14583124C22semidirect
118. #14583124C22semidirect
119. #14583123C22semidirect
120. #14583122C22semidirect
121. #14583121C22semidirect
122. #14583121C22semidirect
123. #14583120C22semidirect
124. #14583117C22semidirect
125. #14583115C22semidirect
126. #14583113C22semidirect
127. #14583111C22semidirect
128. #14583063C22semidirect
129. #14583061C22semidirect
130. #14583059C22semidirect
131. #14583056C22semidirect
132. #14583056C22semidirect
133. #14583056C22semidirect
134. #14583056C22semidirect
135. #14583056C22semidirect
136. #14583054C22semidirect
137. #14583053C22semidirect
138. #14583053C22semidirect
139. #14583053C22semidirect
140. #14583052C22semidirect
141. #14583051C22semidirect
142. #14583049C22semidirect
143. #14583048C22semidirect
144. #14583047C22semidirect
145. #14583047C22semidirect
146. #14583047C22semidirect
147. #14583046C22semidirect
148. #14583045C22semidirect
149. #14583045C22semidirect
150. #14583043C22semidirect
151. #14583042C22semidirect
152. #14583040C22semidirect
157. #14583039C22semidirect
158. #14583039C22semidirect
159. #14583038C22semidirect
162. #14582993C22semidirect
163. C4×#10621885C22semidirect
164. #14582991C22semidirect
165. C4×#10621873C22semidirect
166. C4×#10621884C22semidirect
167. #14582986C22semidirect
168. #14582984C22semidirect
169. #14582978C22semidirect
170. #14582977C22semidirect
171. #14582976C22semidirect
172. #14582975C22semidirect
173. #14582975C22semidirect
174. #14582974C22semidirect
175. #14582974C22semidirect
176. #14582951C22semidirect
177. #14582950C22semidirect
178. #14582907C22semidirect
179. #14582906C22semidirect
180. #14582906C22semidirect
181. #14582899C22semidirect
182. #14582898C22semidirect
183. #14582897C22semidirect
185. #14582862C22semidirect
187. #14582861C22semidirect
188. C43×#552C22semidirect
190. C43×#488C22semidirect
191. C43×#484C22semidirect
192. C43×#482C22semidirect
193. C43×#479C22semidirect
194. C43×#470C22semidirect
195. C43×#468C22semidirect
196. C43×#464C22semidirect
197. C43×#452C22semidirect
198. C43×#451C22semidirect
199. C4×Q16×C43C22semidirect
200. C43×#436C22semidirect
201. C43×#419C22semidirect
202. C43×#417C22semidirect
935. #3327D43semidirect
988. #552C2×D43semidirect
1033. #488C2×D43semidirect
1035. #484C2×D43semidirect
1043. #482C2×D43semidirect
1049. #479C2×D43semidirect
1053. #470C2×D43semidirect
1065. #468C2×D43semidirect
1073. #464C2×D43semidirect
1081. #452C2×D43semidirect
1091. #451C2×D43semidirect
1117. C4×Q16C2×D43semidirect
1129. #436C2×D43semidirect
1135. #419C2×D43semidirect
1139. #417C2×D43semidirect
1144. C43#61583semidirect

Maximal subgroups

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

subgroupindex
#191484352
#548×D432
#191468662
#191468642
#191468572
#191468472
#191468462
#191468452
#191468442
#191462522
#191462512
#191462492
#191462472
#191462312
#191462272
#191462232
#191462192
#191455642
#191455612
#191454152
#191454132
#191454102
#191454002
#191446802
#191446792
#191438522
#191438482
#191438312
#191438302
#191436332
C43×#33272
#6158343