Finite Group Databasebeta

← #25990379

Subgroups — #25990379

Order 11008.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149173C211yesmaximal, characteristic, complemented
2#19148524C211yesmaximal, characteristic, complemented
3#19147667C211yesmaximal, characteristic, complemented
4#19147602C211yesmaximal, characteristic, complemented
5#19147344C211yesmaximal, characteristic, complemented
6#19147239C211yesmaximal, characteristic, complemented
7#19146895C211yesmaximal, characteristic, complemented
8#19146869C211yesmaximal, characteristic, complemented
9#19146850C211yesmaximal, characteristic, complemented
10#19146725C211yesmaximal, characteristic, complemented
11#19146560C211yesmaximal, characteristic, complemented
12#19146445C211yesmaximal, characteristic, complemented
13#19146298C211yesmaximal, characteristic, complemented
14#19146209C211yesmaximal, characteristic, complemented
15#19146200C211yesmaximal, characteristic, complemented
16#19146124C211yesmaximal, characteristic, complemented
17#19146094C211yesmaximal, characteristic, complemented
18#19146037C211yesmaximal, characteristic, complemented
19#19146001C211yesmaximal, characteristic, complemented
20#19145993C211yesmaximal, characteristic, complemented
21#19145708C211yesmaximal, characteristic, complemented
22#19145641C211yesmaximal, characteristic, complemented
23#19145566C211yesmaximal, characteristic, complemented
24#19144832C211yesmaximal, characteristic, complemented
25#19144802C211yesmaximal, characteristic, complemented
26#19144640C211yesmaximal, characteristic, complemented
27#19144138C211yesmaximal, characteristic, complemented
28#19144109C211yesmaximal, characteristic, complemented
29#19144057C211yesmaximal, characteristic, complemented
30#19143739C211yesmaximal, characteristic, complemented
31C43×#3273C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic, complemented
33C2×#13063349C2211yescharacteristic
34C2×#13063345C2211yescharacteristic
35C22×#10621883C2211yescharacteristic, complemented
36#14583646—21no—
37#14583638—21no—
38#14583632C2211yescharacteristic, complemented
39#14583631C2211yescharacteristic, complemented
40#14583618C2211yescharacteristic, complemented
41#14583608C2211yescharacteristic, complemented
42#14583596—21no—
43#14583595C2211yescharacteristic
44#14583592—21no—
45#14583583C2211yescharacteristic, complemented
46#14583575—21no—
47#14583575—21no—
48#14583572—21no—
49#14583568C2211yescharacteristic
50#14583558C2211yescharacteristic, complemented
51#14583555C2211yescharacteristic
52#14583551C2211yescharacteristic, complemented
53#14583549C2211yescharacteristic
54#14583543C2211yescharacteristic, complemented
55#14583537C2211yescharacteristic
56#14583536—21no—
57D4×C22⋊D43C2211yescharacteristic, complemented
58#14583522C2211yescharacteristic, complemented
59#14583509C2211yescharacteristic, complemented
60#14583502C2211yescharacteristic
61#14583502C2211yescharacteristic, complemented
62#14583499—21no—
63#14583493—21no—
64#14583492—21no—
65#14583487—21no—
66#14583484—21no—
67#14583484—21no—
68#14583470C2211yescharacteristic, complemented
69#14583466C2211yescharacteristic, complemented
70#14583448C2211yescharacteristic, complemented
71#14583431C2211yescharacteristic
72#14583431C2211yescharacteristic, complemented
73#14583428C2211yescharacteristic, complemented
74#14583409—21no—
75C2×#13063307—21no—
76#14583382C2211yescharacteristic
77#14583374C2211yescharacteristic, complemented
78C4×D4×D43C2211yescharacteristic, complemented
79#14583292C2211yescharacteristic, complemented
80#14583287C2211yescharacteristic
81#14583281C2211yescharacteristic, complemented
82#14583280C2211yescharacteristic, complemented
83#14583274C2211yescharacteristic
84#14583262C2211yescharacteristic, complemented
85#14583257C2211yescharacteristic, complemented
86#14583254C2211yescharacteristic, complemented
87#14583253C2211yescharacteristic, complemented
88#14583252C2211yescharacteristic, complemented
89#14583248C2211yescharacteristic, complemented
90#14583236C2211yescharacteristic, complemented
91#14583232C2211yescharacteristic, complemented
92#14583230C2211yescharacteristic, complemented
93#14583224C2211yescharacteristic, complemented
94#14583220C2211yescharacteristic, complemented
95#14583216C2211yescharacteristic, complemented
96#14583208C2211yescharacteristic, complemented
97#14583207C2211yescharacteristic, complemented
98#14583205C2211yescharacteristic, complemented
99#14583204C2211yescharacteristic, complemented
100#14583202C2211yescharacteristic, complemented
101#14583201C2211yescharacteristic, complemented
102#14583199C2211yescharacteristic, complemented
103#14583197C2211yescharacteristic, complemented
104#14583187C2211yescharacteristic, complemented
105#14583178C2211yescharacteristic, complemented
106#14583156C2211yescharacteristic, complemented
107#14583152C2211yescharacteristic, complemented
108#14583149C2211yescharacteristic
109#14583145C2211yescharacteristic, complemented
110#14583144C2211yescharacteristic, complemented
111#14583142C2211yescharacteristic, complemented
112#14583133C2211yescharacteristic
113#14583130C2211yescharacteristic, complemented
114#14583130C2211yescharacteristic, complemented
115#14583126C2211yescharacteristic, complemented
116#14583119C2211yescharacteristic, complemented
117#14583119C2211yescharacteristic, complemented
118#14583118C2211yescharacteristic, complemented
119#14583117C2211yescharacteristic, complemented
120#14583116C2211yescharacteristic, complemented
121#14583115C2211yescharacteristic, complemented
122#14583114C2211yescharacteristic, complemented
123#14583113C2211yescharacteristic, complemented
124#14583112C2211yescharacteristic
125#14583112C2211yescharacteristic
126#14583112C2211yescharacteristic
127#14583112C2211yescharacteristic, complemented
128#14583112C2211yescharacteristic, complemented
129#14583111C2211yescharacteristic, complemented
130#14583107C2211yescharacteristic, complemented
131#14583103C2211yescharacteristic, complemented
132#14583102C2211yescharacteristic, complemented
133#14583102C2211yescharacteristic, complemented
134#14583102C2211yescharacteristic, complemented
135#14583102C2211yescharacteristic, complemented
136#14583098C2211yescharacteristic, complemented
137#14583097C2211yescharacteristic, complemented
138#14583097C2211yescharacteristic, complemented
139#14583097C2211yescharacteristic, complemented
140#14583093C2211yescharacteristic, complemented
141#14583092C2211yescharacteristic
142#14583092C2211yescharacteristic
143#14583092C2211yescharacteristic, complemented
144#14583061C2211yescharacteristic
145#14583060C2211yescharacteristic, complemented
146#14583058C2211yescharacteristic, complemented
147#14583054C2211yescharacteristic, complemented
148#14583051C2211yescharacteristic, complemented
149#14583046C2211yescharacteristic, complemented
150#14583044C2211yescharacteristic
151#14583043C2211yescharacteristic, complemented
152#14583042C2211yescharacteristic, complemented
153#14583041C2211yescharacteristic
154#14583040C2211yescharacteristic, complemented
155#14583033C2211yescharacteristic, complemented
156#14583033C2211yescharacteristic, complemented
157#14583031C2211yescharacteristic
158#14583029C2211yescharacteristic, complemented
159#14583023C2211yescharacteristic, complemented
160#14583011C2211yescharacteristic, complemented
161#14583008C2211yescharacteristic, complemented
162#14583006C2211yescharacteristic, complemented
163#14582996C2211yescharacteristic, complemented
164#14582991C2211yescharacteristic, complemented
165C4×#10621873C2211yescharacteristic, complemented
166SD16×Dic43C2211yescharacteristic, complemented
167C4×#10621883C2211yescharacteristic, complemented
168D8×Dic43C2211yescharacteristic
169C4×#10621882C2211yescharacteristic, complemented
170#14582979C2211yescharacteristic, complemented
171#14582975C2211yescharacteristic, complemented
172#14582975C2211yescharacteristic, complemented
173#14582967C2211yescharacteristic, complemented
174#14582967C2211yescharacteristic, complemented
175D4×C43⋊C8C2211yescharacteristic, complemented
176#14582957C2211yescharacteristic, complemented
177#14582957C2211yescharacteristic, complemented
178#14582950C2211yescharacteristic, complemented
179#14582927C2211yescharacteristic, complemented
180#14582927C2211yescharacteristic, complemented
181#14582921C2211yescharacteristic, complemented
182#14582909C2211yescharacteristic, complemented
183#14582901C2211yescharacteristic, complemented
184#14582899C2211yescharacteristic, complemented
185#14582897C2211yescharacteristic, complemented
186#14582895C2211yescharacteristic, complemented
187C2×#13063246C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
190C43×#546C2211yescharacteristic
191C43×#546C2211yescharacteristic, complemented
192C43×#495C2211yescharacteristic, complemented
193C43×#468C2211yescharacteristic, complemented
194C43×#468C2211yescharacteristic, complemented
195C43×#463C2211yescharacteristic
196C43×#463C2211yescharacteristic, complemented
197C43×#452C2211yescharacteristic
198C43×#452C2211yescharacteristic, complemented
199C43×#447C2211yescharacteristic
200C43×#447C2211yescharacteristic, complemented
201C4×D8×C43C2211yescharacteristic
202C43×#436C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×#10621900—21no—
206C2×#10621900C2311yescharacteristic
207C22×Dic86C2311yescharacteristic
208C22×C22⋊D43—21no—
209C2×D4×D43C2311yescharacteristic
210C22×C4×D43—21no—
211#13063352—42no—
212#13063349—42no—
213#13063345—42no—
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621873C2311yescharacteristic
217C2×#10621873C2311yescharacteristic
218C2×#10621883—42no—
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621883C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×D344C2311yescharacteristic
226C2×#10621882C2311yescharacteristic
227C2×#10621882C2311yescharacteristic
228C2×#10621882C2311yescharacteristic
229C2×#10621882C2311yescharacteristic
230C2×#10621872C2311yescharacteristic
231C2×#10621872C2311yescharacteristic
232C22×C43⋊C8C2311yescharacteristic
233C22×C43⋊C8C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063323C2311yescharacteristic
236#13063323C2311yescharacteristic
237#13063321—21no—
238#13063321C2311yescharacteristic
239#13063321C2311yescharacteristic
240#13063321C2311yescharacteristic
241#13063320—21no—
242#13063320—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318D411yescharacteristic
251#13063318D411yescharacteristic
252#13063317C2311yescharacteristic
253#13063316—21no—
254#13063316D411yescharacteristic
255#13063316C2311yescharacteristic
256#13063316C2311yescharacteristic
257#13063315—21no—
258#13063315—21no—
259#13063314C2311yescharacteristic
260#13063313C2311yescharacteristic
261#13063312D411yescharacteristic
262#13063312C2311yescharacteristic
263#13063312C2311yescharacteristic
264#13063312C2311yescharacteristic
265#13063311—21no—
266#13063311—21no—
267#13063311—21no—
268#13063311—21no—
269#13063311—21no—
270#13063310—21no—
271#13063309—21no—
272#13063309—21no—
273#13063309—21no—
274#13063308—21no—
275#13063308—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063307—21no—
283#13063307—21no—
284#13063307—21no—
285#13063307—21no—
286#13063307—21no—
287#13063307D411yescharacteristic
288#13063307D411yescharacteristic
289#13063306—21no—
290#13063306—21no—
291#13063306—21no—
292#13063306—21no—
293#13063305—21no—
294#13063305D411yescharacteristic
295#13063305C2311yescharacteristic
296#13063304—21no—
297#13063304—21no—
298#13063304—21no—
299#13063304C2311yescharacteristic
300#13063303—21no—
301#13063302—21no—
302#13063302—21no—
303#13063302—21no—
304#13063302—21no—
305#13063302—21no—
306#13063301C2311yescharacteristic
307#13063299—21no—
308#13063299C2311yescharacteristic
309#13063299C2311yescharacteristic
310#13063299C2311yescharacteristic
311#13063298—21no—
312#13063298—21no—
313#13063298—21no—
314#13063297—21no—
315#13063297—21no—
316#13063297—21no—
317#13063297—21no—
318#13063297—21no—
319#13063297—21no—
320#13063297—21no—
321#13063297—21no—
322#13063296—21no—
323#13063296—21no—
324#13063296—21no—
325#13063296—21no—
326#13063296—21no—
327#13063296D411yescharacteristic
328#13063296C2311yescharacteristic
329#13063296C2311yescharacteristic
330#13063294—21no—
331#13063294—21no—
332#13063294—21no—
333#13063294—21no—
334#13063293—21no—
335#13063293—21no—
336Q8×Dic43C2311yescharacteristic
337Q8×Dic43C2311yescharacteristic
338Q8×Dic43C2311yescharacteristic
339C4×Dic86C2311yescharacteristic
340C4×Dic86C2311yescharacteristic
341#13063290C2311yescharacteristic
342C4×D172C2311yescharacteristic
343D4×Dic43—21no—
344D4×Dic43—21no—
345D4×Dic43—21no—
346D4×Dic43—21no—
347D4×Dic43—21no—
348D4×Dic43C2311yescharacteristic
349D4×Dic43C2311yescharacteristic
350D4×Dic43C2311yescharacteristic
351D4×Dic43C2311yescharacteristic
352D4×Dic43C2311yescharacteristic
353D4×Dic43C2311yescharacteristic
354#13063287C2311yescharacteristic
355#13063287C2311yescharacteristic
356C4×C22⋊D43—21no—
357C4×C22⋊D43—21no—
358C4×C22⋊D43—21no—
359C4×C22⋊D43—21no—
360C4×C22⋊D43C2311yescharacteristic
361C4×C22⋊D43C2311yescharacteristic
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365(C22⋊D43)⋊C4—21no—
366(C22⋊D43)⋊C4—21no—
367(C22⋊D43)⋊C4—21no—
368(C22⋊D43)⋊C4—21no—
369#13063284—21no—
370#13063284—21no—
371#13063284C2311yescharacteristic
372#13063284C2311yescharacteristic
373#13063284C2311yescharacteristic
374#13063283—21no—
375#13063281—21no—
376#13063281—21no—
377C2×C4⋊Dic43—21no—
378C2×C4⋊Dic43C2311yescharacteristic
379C2×Dic43⋊C4—21no—
380C4⋊C4×D43—21no—
381C4⋊C4×D43C2311yescharacteristic
382C2×C22⋊Dic43—21no—
383C2×C22⋊Dic43—21no—
384C2×C22⋊Dic43—21no—
385C2×(C2×D43)⋊C4—21no—
386C22⋊C4×D43—21no—
387C42×D43C2311yescharacteristic
388#13063259C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063257C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063256C2311yescharacteristic
394#13063256C2311yescharacteristic
395C4⋊(C43⋊C8)C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403Dic43⋊C8C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063247C2311yescharacteristic
417#13063247C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063246C2311yescharacteristic
425#13063246C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063245C2311yescharacteristic
429#13063245C2311yescharacteristic
430C22⋊(C43⋊C8)C2311yescharacteristic
431C22⋊(C43⋊C8)C2311yescharacteristic
432(C2×D43)⋊C8C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434#13063235C2311yescharacteristic
435#13063235C2311yescharacteristic
436C4×C43⋊C8C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C8×Dic43C2311yescharacteristic
439C2×#41×C43C2311yescharacteristic
440C2×#41×C43C2311yescharacteristic
441C22×D4×C43C2311yescharacteristic
442C22×D4×C43C2311yescharacteristic
443AGL(1,ℤ/8)×C43—42no—
444AGL(1,ℤ/8)×C43—42no—
445C2×Q16×C43C2311yescharacteristic
446C2×SD16×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×SD16×C43C2311yescharacteristic
450C2×D8×C43C2311yescharacteristic
451C2×D8×C43C2311yescharacteristic
452C2×D8×C43C2311yescharacteristic
453C2×D8×C43C2311yescharacteristic
454C2×M16×C43C2311yescharacteristic
455C2×M16×C43C2311yescharacteristic
456#124×C43C2311yescharacteristic
457#124×C43C2311yescharacteristic
458#123×C43—21no—
459#123×C43—21no—
460C22⋊Q8×C43C2311yescharacteristic
461C22⋊Q8×C43C2311yescharacteristic
462#121×C43—21no—
463#121×C43—21no—
464#121×C43C2311yescharacteristic
465#121×C43C2311yescharacteristic
466#120×C43—21no—
467#120×C43—21no—
468C4×D4×C43C2311yescharacteristic
469C4×D4×C43C2311yescharacteristic
470C4×D4×C43C2311yescharacteristic
471C2×C22⋊C4×C43—21no—
472C2×C22⋊C4×C43—21no—
473#107×C43C2311yescharacteristic
474C4⋊C8×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478#102×C43C2311yescharacteristic
479#102×C43C2311yescharacteristic
480#102×C43C2311yescharacteristic
481C22⋊C8×C43C2311yescharacteristic
482C22⋊C8×C43C2311yescharacteristic
483C4×C8×C43C2311yescharacteristic
484C24×C43—21no—
485C24×C43—21no—
486C23×D43—21no—
487#41×C43—22no—
488#41×C43—41no—
489#41×C43—41no—
490#41×C43—41no—
491C2×Q8×C43C2411yescharacteristic
492C2×Q8×C43C2411yescharacteristic
493C2×D4×C43—21no—
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43—21no—
499C2×D4×C43—22no—
500C2×D4×C43—41no—
501C2×D4×C43—41no—
502C2×D4×C43—41no—
503C2×D4×C43C2×D411yescharacteristic
504C2×D4×C43C2411yescharacteristic
505C2×D4×C43C2411yescharacteristic
506C2×D4×C43C2411yescharacteristic
507C2×D4×C43C2411yescharacteristic
508C22×C4×C43—21no—
509C22×C4×C43—21no—
510C22×C4×C43—21no—
511C22×C4×C43—21no—
512C22×C4×C43C2411yescharacteristic
513C22×C4×C43C2411yescharacteristic
514C2×C22⋊D43—21no—
515C2×C22⋊D43—21no—
516C2×C22⋊D43—21no—
517C2×C22⋊D43—21no—
518C2×C22⋊D43—21no—
519C2×C22⋊D43—21no—
520C2×C22⋊D43—21no—
521C2×C22⋊D43—21no—
522C2×C22⋊D43—21no—
523C2×C22⋊D43—21no—
524C2×C22⋊D43—21no—
525C2×C22⋊D43—21no—
526C2×C22⋊D43—21no—
527C2×C22⋊D43—21no—
528C2×C22⋊D43—82no—
529C2×C22⋊D43C2×D411yescharacteristic
530C2×C22⋊D43C2×D411yescharacteristic
531C22×Dic43—21no—
532C22×Dic43—21no—
533C22×Dic43—21no—
534C22×Dic43—21no—
535C22×Dic43—21no—
536C22×Dic43—21no—
537C22×Dic43—21no—
538C22×Dic43—21no—
539C22×Dic43—21no—
540#10621902—41no—
541#10621902—41no—
542#10621900—41no—
543#10621900—41no—
544#10621900—82no—
545D4×D43—22no—
546D4×D43—41no—
547#10621898—41no—
548#10621898—41no—
549C2×D172—21no—
550C2×D172C2411yescharacteristic
551C2×D172C2411yescharacteristic
552C2×C4×D43—21no—
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—82no—
559C2×C4×D43C2×D411yescharacteristic
560C2×C4×D43C2×D411yescharacteristic
561C2×C4×D43C2411yescharacteristic
562C2×Dic86—21no—
563C2×Dic86—21no—
564C2×Dic86—41no—
565C2×Dic86—41no—
566C2×Dic86C2×D411yescharacteristic
567C2×Dic86C2411yescharacteristic
568C2×Dic86C2411yescharacteristic
569Q16×C43—41no—
570SD16×C43—22no—
571SD16×C43—41no—
572SD16×C43—41no—
573SD16×C43—41no—
574D8×C43—22no—
575D8×C43—22no—
576D8×C43—41no—
577D8×C43—41no—
578M16×C43—41no—
579M16×C43—41no—
580C2×C8×C43C2411yescharacteristic
581C2×C8×C43C2411yescharacteristic
582C2×C8×C43C2411yescharacteristic
583C2×C8×C43C2411yescharacteristic
584C4⋊C4×C43—21no—
585C4⋊C4×C43—21no—
586C4⋊C4×C43C2×D411yescharacteristic
587C4⋊C4×C43C2411yescharacteristic
588C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
596C22⋊C4×C43—21no—
597C22⋊C4×C43—21no—
598C22⋊C4×C43—21no—
599C22⋊C4×C43C2×D411yescharacteristic
600C22⋊C4×C43C2×D411yescharacteristic
601C42×C43C2411yescharacteristic
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43—21no—
610C22⋊Dic43—21no—
611C22⋊Dic43—21no—
612C22⋊Dic43—21no—
613C22⋊Dic43—21no—
614C22⋊Dic43—21no—
615C22⋊Dic43—21no—
616C22⋊Dic43—21no—
617C22⋊Dic43—21no—
618C22⋊Dic43C2×D411yescharacteristic
619C22⋊Dic43C2×D411yescharacteristic
620C22⋊Dic43C2×D411yescharacteristic
621C22⋊Dic43C2×D411yescharacteristic
622C22⋊Dic43C2×D411yescharacteristic
623C22⋊Dic43C2×D411yescharacteristic
624#10621885—41no—
625#10621885—41no—
626#10621884—41no—
627#10621884—41no—
628#10621883—22no—
629#10621883—22no—
630#10621883—41no—
631#10621883—41no—
632#10621882—22no—
633#10621882—41no—
634#10621882—41no—
635#10621882—41no—
636(C2×D43)⋊C4—21no—
637(C2×D43)⋊C4—21no—
638(C2×D43)⋊C4—21no—
639(C2×D43)⋊C4—21no—
640(C2×D43)⋊C4—21no—
641(C2×D43)⋊C4—21no—
642(C2×D43)⋊C4—21no—
643(C2×D43)⋊C4—21no—
644(C2×D43)⋊C4—21no—
645(C2×D43)⋊C4—21no—
646(C2×D43)⋊C4—21no—
647(C2×D43)⋊C4—21no—
648(C2×D43)⋊C4C2×D411yescharacteristic
649(C2×D43)⋊C4C2×D411yescharacteristic
650C4⋊Dic43—21no—
651C4⋊Dic43—21no—
652C4⋊Dic43—21no—
653C4⋊Dic43—21no—
654C4⋊Dic43—21no—
655C4⋊Dic43—21no—
656C4⋊Dic43—21no—
657C4⋊Dic43C2×D411yescharacteristic
658C4⋊Dic43C2×D411yescharacteristic
659C4⋊Dic43C2×D411yescharacteristic
660C4⋊Dic43C2×D411yescharacteristic
661C4⋊Dic43C2×D411yescharacteristic
662C4⋊Dic43C2411yescharacteristic
663C4⋊Dic43C2411yescharacteristic
664C4⋊Dic43C2411yescharacteristic
665C4⋊Dic43C2411yescharacteristic
666Dic43⋊C4—21no—
667Dic43⋊C4—21no—
668Dic43⋊C4—21no—
669Dic43⋊C4—21no—
670Dic43⋊C4—21no—
671Dic43⋊C4—21no—
672Dic43⋊C4—21no—
673Dic43⋊C4—21no—
674Dic43⋊C4—21no—
675Dic43⋊C4—21no—
676Dic43⋊C4—21no—
677Dic43⋊C4—21no—
678Dic43⋊C4—21no—
679Dic43⋊C4—21no—
680Dic43⋊C4C2×D411yescharacteristic
681Dic43⋊C4C2×D411yescharacteristic
682Dic43⋊C4C2×D411yescharacteristic
683Dic43⋊C4C2×D411yescharacteristic
684C4×Dic43—21no—
685C4×Dic43—21no—
686C4×Dic43—21no—
687C4×Dic43—21no—
688C4×Dic43—21no—
689C4×Dic43—21no—
690C4×Dic43C2×D411yescharacteristic
691C4×Dic43C2×D411yescharacteristic
692C4×Dic43C2411yescharacteristic
693C4×Dic43C2411yescharacteristic
694C4×Dic43C2411yescharacteristic
695C2×C43⋊C8—41no—
696C2×C43⋊C8—41no—
697C2×C43⋊C8C2411yescharacteristic
698C2×C43⋊C8C2411yescharacteristic
699C2×C43⋊C8C2411yescharacteristic
700C2×C43⋊C8C2411yescharacteristic
701D344—41no—
702#10621873—41no—
703#10621873—41no—
704#10621872—41no—
705#10621872—41no—
706C23×C43—21no—
707C23×C43—21no—
708C23×C43—21no—
709C23×C43—21no—
710C23×C43—42no—
711C23×C43—81no—
712C23×C43—81no—
713C23×C43—81no—
714C23×C43—81no—
715C23×C43—81no—
716C23×C43C22×D411yescharacteristic
717C23×C43C22×D411yescharacteristic
718C22×D43—21no—
719C22×D43—21no—
720C22×D43—42no—
721C22×D43—42no—
722C22×D43—81no—
723C22×D43C22×D411yescharacteristic
724Q8×C43—21no—
725Q8×C43—21no—
726Q8×C43—21no—
727Q8×C43—21no—
728D4×C43—21no—
729D4×C43—21no—
730D4×C43—21no—
731D4×C43—21no—
732D4×C43—21no—
733D4×C43—21no—
734D4×C43—21no—
735D4×C43—41no—
736D4×C43—42no—
737D4×C43—42no—
738D4×C43—81no—
739D4×C43—81no—
740D4×C43—81no—
741D4×C43—81no—
742D4×C43H(5,𝔽2)12yes—
743C2×C4×C43—21no—
744C2×C4×C43—21no—
745C2×C4×C43—21no—
746C2×C4×C43—21no—
747C2×C4×C43—21no—
748C2×C4×C43—21no—
749C2×C4×C43—21no—
750C2×C4×C43—21no—
751C2×C4×C43—42no—
752C2×C4×C43—81no—
753C2×C4×C43—81no—
754C2×C4×C43—81no—
755C2×C4×C43C22×D411yescharacteristic
756C2×C4×C43C22×D411yescharacteristic
757C2×C4×C43C22×D411yescharacteristic
758C2×C4×C43C22×D411yescharacteristic
759C2×C4×C43C2511yescharacteristic
760C22⋊D43—41no—
761C22⋊D43—41no—
762C22⋊D43—42no—
763C22⋊D43—42no—
764C22⋊D43—81no—
765C22⋊D43—81no—
766C22⋊D43—81no—
767C22⋊D43—81no—
768C22⋊D43—81no—
769C22⋊D43—81no—
770C22⋊D43—81no—
771C22⋊D43—81no—
772C22⋊D43—81no—
773C22⋊D43—81no—
774C22⋊D43—81no—
775C22⋊D43—81no—
776C2×Dic43—21no—
777C2×Dic43—21no—
778C2×Dic43—21no—
779C2×Dic43—21no—
780C2×Dic43—21no—
781C2×Dic43—21no—
782C2×Dic43—81no—
783C2×Dic43—81no—
784C2×Dic43—81no—
785C2×Dic43—81no—
786C2×Dic43—81no—
787C2×Dic43—81no—
788C2×Dic43—81no—
789C2×Dic43—81no—
790C2×Dic43—81no—
791C2×Dic43C22×D411yescharacteristic
792C2×Dic43C22×D411yescharacteristic
793C2×Dic43C22×D411yescharacteristic
794C2×Dic43C22×D411yescharacteristic
795C2×Dic43C22×D411yescharacteristic
796C2×Dic43C22×D411yescharacteristic
797C2×Dic43C22×D411yescharacteristic
798D172—21no—
799D172—21no—
800D172—21no—
801D172—21no—
802D172—81no—
803C4×D43—21no—
804C4×D43—21no—
805C4×D43—41no—
806C4×D43—41no—
807C4×D43—42no—
808C4×D43—81no—
809C4×D43—81no—
810C4×D43—81no—
811C4×D43—81no—
812C4×D43—81no—
813Dic86—21no—
814Dic86—21no—
815Dic86—21no—
816Dic86—21no—
817Dic86—41no—
818Dic86—81no—
819Dic86—81no—
820C8×C43—21no—
821C8×C43—21no—
822C8×C43—21no—
823C8×C43—21no—
824C43⋊C8—21no—
825C43⋊C8—21no—
826C43⋊C8—21no—
827C43⋊C8—21no—
828#62027—431nomaximal, Sylow
829C22×C43—21no—
830C22×C43—21no—
831C22×C43—21no—
832C22×C43—21no—
833C22×C43—22no—
834C22×C43—21no—
835C22×C43—21no—
836C22×C43—41no—
837C22×C43—41no—
838C22×C43—41no—
839C22×C43—41no—
840C22×C43—41no—
841C22×C43—41no—
842C22×C43—41no—
843C22×C43—41no—
844C22×C43—41no—
845C22×C43—41no—
846C22×C43—41no—
847C22×C43—162no—
848C22×C43—162no—
849C22×C43C23×D411yescharacteristic
850C2×D43—21no—
851C2×D43—21no—
852C2×D43—21no—
853C2×D43—41no—
854C2×D43—41no—
855C2×D43—41no—
856C2×D43—41no—
857C2×D43—41no—
858C2×D43—41no—
859C2×D43—84no—
860C4×C43—21no—
861C4×C43—21no—
862C4×C43—21no—
863C4×C43—21no—
864C4×C43—41no—
865C4×C43—41no—
866C4×C43—41no—
867C4×C43—41no—
868C4×C43C2×H(5,𝔽2)11yescharacteristic
869C4×C43#58511yescharacteristic
870Dic43—21no—
871Dic43—21no—
872Dic43—21no—
873Dic43—21no—
874Dic43—21no—
875Dic43—21no—
876Dic43—21no—
877Dic43—41no—
878Dic43—41no—
879Dic43—41no—
880Dic43—41no—
881Dic43—41no—
882Dic43—41no—
883#3562—431no—
884#3513—431no—
885#3401—431no—
886#3396—431no—
887#3370—431no—
888#3360—431no—
889#3330—431no—
890#3327—431no—
891#3326—431no—
892#3317—431no—
893#3306—431no—
894#3297—431no—
895#3282—431no—
896#3274—431no—
897#3273—431no—
898#3273D4311yescharacteristic, complemented
899#3267—431no—
900#3265—431no—
901#3260—431no—
902#3257—431no—
903#3256—431no—
904#3225—431no—
905#3220—431no—
906#3212—431no—
907#3122—431no—
908#3120—431no—
909#3105—431no—
910#3045—431no—
911#3042—431no—
912#3036—431no—
913#2993—431no—
914C2×C43—42no—
915C2×C43—41no—
916C2×C43—41no—
917C2×C43—81no—
918C2×C43—81no—
919C2×C43—81no—
920C2×C43#348811yescharacteristic
921C2×C43#358411yescharacteristic
922C2×C43#358511yescharacteristic
923D43—41no—
924D43—81no—
925D43—81no—
926C2×AGL(1,ℤ/8)—431no—
927C2×AGL(1,ℤ/8)—431no—
928C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
929C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
930C2×#135—431no—
931C22×SD16—431no—
932#562—861no—
933#560—861no—
934#559—431no—
935#559—431no—
936#556—431no—
937#554—431no—
938#553—431no—
939#553—861no—
940#553—861no—
941#552—431no—
942#551—861no—
943#551—861no—
944#551—861no—
945#550—431no—
946#548—431no—
947#548—431no—
948#547—431no—
949#547—431no—
950#546—431no—
951#546—431no—
952#546—861no—
953#546C2×D4311yescharacteristic
954#546C2×D4311yescharacteristic, complemented
955D42—431no—
956#542—431no—
957#541—431no—
958#540—431no—
959#540—431no—
960#540—861no—
961#539—861no—
962#539—861no—
963#538—861no—
964#538—861no—
965#538—861no—
966#536—431no—
967#535—431no—
968#532—431no—
969#529—431no—
970#529—431no—
971#529—431no—
972#525—861no—
973C2×#123—861no—
974#520—431no—
975#518—431no—
976C2×C4×D4—431no—
977#497—431no—
978#496—431no—
979#495—431no—
980#495—431no—
981#495C2×D4311yescharacteristic, complemented
982#493—431no—
983#490—431no—
984#489—431no—
985#488—431no—
986#488—431no—
987#488—431no—
988#487—431no—
989#484—431no—
990#484—431no—
991#483—431no—
992#482—431no—
993#482—431no—
994#481—431no—
995#479—431no—
996#479—431no—
997#479—431no—
998#479—431no—
999#478—431no—
1000#478—431no—
1001#478—431no—
1002#478—431no—
1003#476—431no—
1004#474—431no—
1005#470—431no—
1006#469—431no—
1007#469—431no—
1008#468—431no—
1009#468—431no—
1010#468—431no—
1011#468C2×D4311yescharacteristic, complemented
1012#468C2×D4311yescharacteristic, complemented
1013#466—431no—
1014#465—431no—
1015#465—431no—
1016#465—431no—
1017#464—431no—
1018#464—431no—
1019#464—431no—
1020#463—431no—
1021#463—431no—
1022#463—431no—
1023#463—431no—
1024#463—431no—
1025#463—431no—
1026#463—431no—
1027#463—431no—
1028#463—431no—
1029#463—431no—
1030#463—431no—
1031#463C2×D4311yescharacteristic
1032#463C2×D4311yescharacteristic, complemented
1033#462—431no—
1034#461—431no—
1035#461—431no—
1036#461—431no—
1037#461—431no—
1038#461—431no—
1039#460—431no—
1040#460—431no—
1041#460—431no—
1042#460—431no—
1043#459—431no—
1044#459—431no—
1045#459—431no—
1046#459—431no—
1047#452—431no—
1048#452—431no—
1049#452—431no—
1050#452C2×D4311yescharacteristic
1051#452C2×D4311yescharacteristic, complemented
1052#451—431no—
1053#450—431no—
1054#449—431no—
1055#449—431no—
1056#449—431no—
1057#449—431no—
1058#449—431no—
1059#448—431no—
1060#447—431no—
1061#447—431no—
1062#447—431no—
1063#447C2×D4311yescharacteristic
1064#447C2×D4311yescharacteristic, complemented
1065#446—431no—
1066C8×Q8—431no—
1067#442—431no—
1068#442—431no—
1069#441—431no—
1070#440—431no—
1071C4×Q16—431no—
1072C4×SD16—431no—
1073C4×SD16—431no—
1074C4×SD16—431no—
1075C4×D8—431no—
1076C4×D8—431no—
1077C4×D8—431no—
1078C4×D8C2×D4311yescharacteristic
1079#436—431no—
1080#436—431no—
1081#436C2×D4311yescharacteristic, complemented
1082#435—431no—
1083#435—431no—
1084C8×D4—431no—
1085#433—431no—
1086#433—431no—
1087#431—431no—
1088#424—431no—
1089#424—431no—
1090#423—431no—
1091#419—431no—
1092#417—431no—
1093#417—431no—
1094#417—431no—
1095#416—431no—
1096C2×#102—431no—
1097C43#6202711yescharacteristic, complemented, Sylow
1098C2×#41—431no—
1099C2×#41—431no—
1100C2×#41—431no—
1101C2×#41—861no—
1102C2×#41C22×D4311yescharacteristic
1103C2×#41C22×D4311yescharacteristic
1104C22×Q8—431no—
1105C22×D4—431no—
1106C22×D4—861no—
1107C22×D4C22×D4311yescharacteristic
1108C22×D4C22×D4311yescharacteristic
1109C23×C4—861no—
1110AGL(1,ℤ/8)—42no—
1111AGL(1,ℤ/8)—42no—
1112AGL(1,ℤ/8)—1722no—
1113AGL(1,ℤ/8)—1722no—
1114#135—1722no—
1115C2×Q16—431no—
1116C2×Q16—431no—
1117C2×Q16C22×D4311yescharacteristic
1118C2×SD16—431no—
1119C2×SD16—431no—
1120C2×SD16—431no—
1121C2×SD16—431no—
1122C2×SD16—431no—
1123C2×SD16—431no—
1124C2×SD16—431no—
1125C2×SD16—431no—
1126C2×SD16—1722no—
1127C2×SD16C22×D4311yescharacteristic
1128C2×SD16C22×D4311yescharacteristic
1129C2×SD16C22×D4311yescharacteristic
1130C2×SD16C22×D4311yescharacteristic
1131C2×D8—431no—
1132C2×D8—431no—
1133C2×D8—431no—
1134C2×D8—431no—
1135C2×D8—431no—
1136C2×D8C22×D4311yescharacteristic
1137C2×D8C22×D4311yescharacteristic
1138C2×D8C22×D4311yescharacteristic
1139C2×D8C22×D4311yescharacteristic
1140C2×M16—431no—
1141C2×M16—431no—
1142C2×M16C22×D4311yescharacteristic
1143C2×M16C22×D4311yescharacteristic
1144C22×C8—431no—
1145C22×C8—431no—
1146C4⋊Q8—431no—
1147C4⋊Q8—431no—
1148C4⋊Q8—431no—
1149#127—431no—
1150#127—431no—
1151#127—431no—
1152#127—861no—
1153#126—431no—
1154#126—431no—
1155#126—861no—
1156#126—861no—
1157#126—861no—
1158#126—861no—
1159#126—861no—
1160#126—861no—
1161#126—861no—
1162#126—861no—
1163#126—861no—
1164#125—431no—
1165#125—431no—
1166#125—431no—
1167#125—431no—
1168#125—861no—
1169#125—861no—
1170#125—861no—
1171#124—431no—
1172#124—431no—
1173#124—431no—
1174#124—431no—
1175#124—431no—
1176#124—431no—
1177#124—861no—
1178#124—861no—
1179#124—861no—
1180#124—861no—
1181#124—861no—
1182#124C22×D4311yescharacteristic
1183#124C22×D4311yescharacteristic
1184#123—21no—
1185#123—21no—
1186#123—431no—
1187#123—431no—
1188#123—861no—
1189#123—861no—
1190#123—861no—
1191#123—861no—
1192#123—861no—
1193#123—861no—
1194#123—861no—
1195#123—861no—
1196#123—861no—
1197#123—861no—
1198#123—861no—
1199#123—861no—
1200#123—861no—
1201#123—861no—
1202#123—861no—
1203#123—861no—
1204#123—861no—
1205#123—861no—
1206#123—861no—
1207#123—861no—
1208#123—861no—
1209C22⋊Q8—431no—
1210C22⋊Q8—431no—
1211C22⋊Q8—431no—
1212C22⋊Q8—431no—
1213C22⋊Q8—861no—
1214C22⋊Q8—861no—
1215C22⋊Q8—861no—
1216C22⋊Q8—861no—
1217C22⋊Q8—861no—
1218C22⋊Q8—861no—
1219C22⋊Q8—861no—
1220C22⋊Q8—861no—
1221C22⋊Q8—861no—
1222C22⋊Q8—861no—
1223C22⋊Q8C22×D4311yescharacteristic
1224C22⋊Q8C22×D4311yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—431no—
1228#121—431no—
1229#121—431no—
1230#121—431no—
1231#121—431no—
1232#121—431no—
1233#121—861no—
1234#121—861no—
1235#121—861no—
1236#121—861no—
1237#121—861no—
1238#121—861no—
1239#121—861no—
1240#121—861no—
1241#121—861no—
1242#121—861no—
1243#121—861no—
1244#121—861no—
1245#121—861no—
1246#121—861no—
1247#121—861no—
1248#121—861no—
1249#121—861no—
1250#121C22×D4311yescharacteristic
1251#121C22×D4311yescharacteristic
1252#120—21no—
1253#120—21no—
1254#120—861no—
1255#120—861no—
1256#120—861no—
1257#120—861no—
1258#120—861no—
1259#120—861no—
1260C4×Q8—431no—
1261C4×Q8—431no—
1262C4×Q8—431no—
1263C4×Q8—431no—
1264C4×Q8—431no—
1265C4×Q8—431no—
1266C4×D4—431no—
1267C4×D4—431no—
1268C4×D4—431no—
1269C4×D4—431no—
1270C4×D4—431no—
1271C4×D4—431no—
1272C4×D4—431no—
1273C4×D4—431no—
1274C4×D4—431no—
1275C4×D4—431no—
1276C4×D4—431no—
1277C4×D4—861no—
1278C4×D4—861no—
1279C4×D4—861no—
1280C4×D4—861no—
1281C4×D4—861no—
1282C4×D4—861no—
1283C4×D4—861no—
1284C4×D4—861no—
1285C4×D4—861no—
1286C4×D4—861no—
1287C4×D4—861no—
1288C4×D4—861no—
1289C4×D4—861no—
1290C4×D4—861no—
1291C4×D4—861no—
1292C4×D4—861no—
1293C4×D4C22×D4311yescharacteristic
1294C4×D4C22×D4311yescharacteristic
1295C4×D4C22×D4311yescharacteristic
1296#117—431no—
1297#117—431no—
1298#117—431no—
1299#117—861no—
1300#117—861no—
1301#117—861no—
1302#117—861no—
1303#117—861no—
1304C2×C4⋊C4—431no—
1305C2×C4⋊C4—431no—
1306C2×C4⋊C4—861no—
1307C2×C4⋊C4—861no—
1308C2×C4⋊C4—861no—
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—21no—
1311C2×C22⋊C4—861no—
1312C2×C22⋊C4—861no—
1313C2×C22⋊C4—861no—
1314C2×C22⋊C4—861no—
1315C2×C22⋊C4—861no—
1316C2×C42—431no—
1317#107—431no—
1318#107—431no—
1319#107—431no—
1320#107C22×D4311yescharacteristic
1321#106—431no—
1322#106—431no—
1323#106—431no—
1324#106—431no—
1325C4⋊C8—431no—
1326C4⋊C8—431no—
1327C4⋊C8—431no—
1328C4⋊C8—431no—
1329C4⋊C8—431no—
1330C4⋊C8—431no—
1331C4⋊C8—431no—
1332C4⋊C8—431no—
1333C4⋊C8—431no—
1334C4⋊C8C22×D4311yescharacteristic
1335#103—431no—
1336#103—431no—
1337#103—431no—
1338#103—431no—
1339#103—431no—
1340#103—431no—
1341#103—431no—
1342#103—431no—
1343#103—431no—
1344#103—431no—
1345#103—431no—
1346#103—431no—
1347#103C22×D4311yescharacteristic
1348#103C22×D4311yescharacteristic
1349#102—431no—
1350#102—431no—
1351#102—431no—
1352#102—431no—
1353#102—431no—
1354#102—431no—
1355#102—431no—
1356#102—431no—
1357#102—431no—
1358#102—431no—
1359#102—431no—
1360#102—431no—
1361#102—431no—
1362#102—431no—
1363#102C22×D4311yescharacteristic
1364#102C22×D4311yescharacteristic
1365#102C22×D4311yescharacteristic
1366#102C22×D4311yescharacteristic
1367C22⋊C8—431no—
1368C22⋊C8—431no—
1369C22⋊C8—431no—
1370C22⋊C8—431no—
1371C22⋊C8C22×D4311yescharacteristic
1372C22⋊C8C22×D4311yescharacteristic
1373#97—431no—
1374#97—431no—
1375C4×C8—431no—
1376C4×C8—431no—
1377C4×C8—431no—
1378C4×C8C22×D4311yescharacteristic
1379C24—21no—
1380C24—21no—
1381C24—861no—
1382#41—22no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—3442no—
1387#41—1721no—
1388#41—1721no—
1389#41—1721no—
1390#41—1721no—
1391#41—1721no—
1392#41—1721no—
1393C2×Q8—431no—
1394C2×Q8—431no—
1395C2×Q8—431no—
1396C2×Q8—861no—
1397C2×Q8—861no—
1398C2×Q8—1721no—
1399C2×Q8—1721no—
1400C2×Q8C23×D4311yescharacteristic
1401C2×Q8C23×D4311yescharacteristic
1402C2×D4—22no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—431no—
1413C2×D4—431no—
1414C2×D4—431no—
1415C2×D4—431no—
1416C2×D4—861no—
1417C2×D4—861no—
1418C2×D4—861no—
1419C2×D4—861no—
1420C2×D4—861no—
1421C2×D4—861no—
1422C2×D4—861no—
1423C2×D4—861no—
1424C2×D4—862no—
1425C2×D4—861no—
1426C2×D4—861no—
1427C2×D4—861no—
1428C2×D4—861no—
1429C2×D4—861no—
1430C2×D4—861no—
1431C2×D4—861no—
1432C2×D4—3442no—
1433C2×D4—1721no—
1434C2×D4D4×D4311yescharacteristic
1435C2×D4C23×D4311yescharacteristic
1436C2×D4C23×D4311yescharacteristic
1437C2×D4C23×D4311yescharacteristic
1438C2×D4C23×D4311yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—431no—
1444C22×C4—431no—
1445C22×C4—431no—
1446C22×C4—861no—
1447C22×C4—861no—
1448C22×C4—861no—
1449C22×C4—861no—
1450C22×C4—861no—
1451C22×C4—861no—
1452C22×C4—861no—
1453C22×C4—861no—
1454C22×C4—861no—
1455C22×C4—861no—
1456C22×C4—861no—
1457C22×C4—861no—
1458C22×C4—861no—
1459C22×C4—861no—
1460C22×C4—861no—
1461C22×C4—3442no—
1462C22×C4C23×D4311yescharacteristic
1463C22×C4C23×D4311yescharacteristic
1464Q16—41no—
1465Q16—1721no—
1466Q16—1721no—
1467SD16—22no—
1468SD16—41no—
1469SD16—41no—
1470SD16—41no—
1471SD16—862no—
1472SD16—862no—
1473SD16—1721no—
1474SD16—1721no—
1475SD16—1721no—
1476SD16—1721no—
1477SD16—1721no—
1478SD16—1721no—
1479D8—22no—
1480D8—22no—
1481D8—41no—
1482D8—41no—
1483D8—862no—
1484D8—1721no—
1485D8—1721no—
1486D8—1721no—
1487D8—1721no—
1488M16—41no—
1489M16—41no—
1490M16—1721no—
1491M16—1721no—
1492C2×C8—431no—
1493C2×C8—431no—
1494C2×C8—431no—
1495C2×C8—431no—
1496C2×C8—1721no—
1497C2×C8—1721no—
1498C2×C8C23×D4311yescharacteristic
1499C2×C8C23×D4311yescharacteristic
1500C2×C8C23×D4311yescharacteristic
1501C2×C8C23×D4311yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—431no—
1505C4⋊C4—431no—
1506C4⋊C4—431no—
1507C4⋊C4—431no—
1508C4⋊C4—431no—
1509C4⋊C4—431no—
1510C4⋊C4—431no—
1511C4⋊C4—431no—
1512C4⋊C4—431no—
1513C4⋊C4—431no—
1514C4⋊C4—431no—
1515C4⋊C4—431no—
1516C4⋊C4—431no—
1517C4⋊C4—861no—
1518C4⋊C4—861no—
1519C4⋊C4—861no—
1520C4⋊C4—861no—
1521C4⋊C4—861no—
1522C4⋊C4—861no—
1523C4⋊C4—861no—
1524C4⋊C4—861no—
1525C4⋊C4—861no—
1526C4⋊C4—861no—
1527C4⋊C4—861no—
1528C4⋊C4—861no—
1529C4⋊C4—861no—
1530C4⋊C4—861no—
1531C4⋊C4—861no—
1532C4⋊C4—861no—
1533C4⋊C4—861no—
1534C4⋊C4—861no—
1535C4⋊C4—861no—
1536C4⋊C4—861no—
1537C4⋊C4—861no—
1538C4⋊C4D4×D4311yescharacteristic
1539C4⋊C4C23×D4311yescharacteristic
1540C4⋊C4C23×D4311yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—431no—
1552C22⋊C4—431no—
1553C22⋊C4—431no—
1554C22⋊C4—431no—
1555C22⋊C4—431no—
1556C22⋊C4—431no—
1557C22⋊C4—431no—
1558C22⋊C4—431no—
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⋊C4—861no—
1571C22⋊C4—861no—
1572C22⋊C4—861no—
1573C22⋊C4—861no—
1574C22⋊C4—861no—
1575C22⋊C4—861no—
1576C22⋊C4—861no—
1577C22⋊C4—861no—
1578C22⋊C4—861no—
1579C22⋊C4—861no—
1580C22⋊C4—861no—
1581C22⋊C4—861no—
1582C22⋊C4—861no—
1583C22⋊C4—861no—
1584C22⋊C4—861no—
1585C22⋊C4—861no—
1586C22⋊C4—861no—
1587C22⋊C4D4×D4311yescharacteristic
1588C22⋊C4D4×D4311yescharacteristic
1589C42—431no—
1590C42—431no—
1591C42—431no—
1592C42—431no—
1593C42—431no—
1594C42—861no—
1595C42—861no—
1596C42—861no—
1597C42—861no—
1598C42—861no—
1599C42—861no—
1600C42C23×D4311yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—42no—
1606C23—81no—
1607C23—81no—
1608C23—81no—
1609C23—81no—
1610C23—81no—
1611C23—431no—
1612C23—861no—
1613C23—861no—
1614C23—3441no—
1615C23—1722no—
1616C23—1722no—
1617C23C2×D4×D4311yescharacteristic
1618C23C2×D4×D4311yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—861no—
1624Q8—861no—
1625Q8—861no—
1626Q8—861no—
1627Q8—3441no—
1628Q8—3441no—
1629Q8—1721no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—41no—
1638D4—42no—
1639D4—42no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—861no—
1645D4—861no—
1646D4—861no—
1647D4—861no—
1648D4—3441no—
1649D4—3441no—
1650D4—3441no—
1651D4—3441no—
1652D4—3441no—
1653D4—3441no—
1654D4—3441no—
1655D4—3441no—
1656D4—3441no—
1657D4—3441no—
1658D4—3441no—
1659D4—3441no—
1660D4—3441no—
1661D4—1721no—
1662D4—1721no—
1663D4—1722no—
1664D4—1722no—
1665D4#1306337012yes—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—42no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—431no—
1679C2×C4—431no—
1680C2×C4—431no—
1681C2×C4—431no—
1682C2×C4—431no—
1683C2×C4—431no—
1684C2×C4—431no—
1685C2×C4—861no—
1686C2×C4—861no—
1687C2×C4—861no—
1688C2×C4—861no—
1689C2×C4—861no—
1690C2×C4—861no—
1691C2×C4—861no—
1692C2×C4—861no—
1693C2×C4—3441no—
1694C2×C4—3441no—
1695C2×C4—3441no—
1696C2×C4—3441no—
1697C2×C4—3441no—
1698C2×C4—3441no—
1699C2×C4—3441no—
1700C2×C4—3441no—
1701C2×C4—3441no—
1702C2×C4—3441no—
1703C2×C4—3441no—
1704C2×C4—3441no—
1705C2×C4—3441no—
1706C2×C4—3441no—
1707C2×C4—1721no—
1708C2×C4—1721no—
1709C2×C4—1722no—
1710C2×C4C2×D4×D4311yescharacteristic
1711C2×C4C2×D4×D4311yescharacteristic
1712C2×C4C2×D4×D4311yescharacteristic
1713C2×C4C2×D4×D4311yescharacteristic
1714C2×C4C24×D4311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—861no—
1720C8—861no—
1721C8—861no—
1722C8—861no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—22no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—162no—
1742C22—162no—
1743C22—861no—
1744C22—861no—
1745C22—861no—
1746C22—3444no—
1747C22—1721no—
1748C22—1721no—
1749C22—1721no—
1750C22—1721no—
1751C22—1721no—
1752C22—1721no—
1753C22C22×D4×D4311yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—861no—
1763C4—861no—
1764C4—861no—
1765C4—861no—
1766C4—861no—
1767C4—861no—
1768C4—861no—
1769C4—1721no—
1770C4—1721no—
1771C4—1721no—
1772C4—1721no—
1773C4—1721no—
1774C4—1721no—
1775C4C2×#1306337011yescharacteristic
1776C4#1458373411yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—42no—
1780C2—81no—
1781C2—81no—
1782C2—81no—
1783C2—3441no—
1784C2—3441no—
1785C2—1721no—
1786C2#1914825511yescharacteristic
1787C2#1914936811yescharacteristic
1788C2#1914937011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3273C2
socleC22×C43C23×D4
hypercenter#3273D43
hypocenterC43#62027
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3273

Complements

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

NH ≅ G/Ntype
1. #19149173C2semidirect
2. #19148524C2semidirect
3. #19147667C2semidirect
4. #19147602C2semidirect
5. #19147344C2semidirect
6. #19147239C2semidirect
7. #19146895C2semidirect
8. #19146869C2semidirect
9. #19146850C2semidirect
10. #19146725C2semidirect
11. #19146560C2semidirect
12. #19146445C2semidirect
13. #19146298C2semidirect
14. #19146209C2semidirect
15. #19146200C2semidirect
16. #19146124C2semidirect
17. #19146094C2semidirect
18. #19146037C2semidirect
19. #19146001C2semidirect
20. #19145993C2semidirect
21. #19145708C2semidirect
22. #19145641C2semidirect
23. #19145566C2semidirect
24. #19144832C2semidirect
25. #19144802C2semidirect
26. #19144640C2semidirect
27. #19144138C2semidirect
28. #19144109C2semidirect
29. #19144057C2semidirect
30. #19143739C2semidirect
31. C43×#3273C2semidirect
32. C2×#13063352C22semidirect
35. C22×#10621883C22semidirect
38. #14583632C22semidirect
39. #14583631C22semidirect
40. #14583618C22semidirect
41. #14583608C22semidirect
45. #14583583C22semidirect
50. #14583558C22semidirect
52. #14583551C22semidirect
54. #14583543C22semidirect
57. D4×C22⋊D43C22semidirect
58. #14583522C22semidirect
59. #14583509C22semidirect
61. #14583502C22semidirect
68. #14583470C22semidirect
69. #14583466C22semidirect
70. #14583448C22semidirect
72. #14583431C22semidirect
73. #14583428C22semidirect
77. #14583374C22semidirect
78. C4×D4×D43C22semidirect
79. #14583292C22semidirect
81. #14583281C22semidirect
82. #14583280C22semidirect
84. #14583262C22semidirect
85. #14583257C22semidirect
86. #14583254C22semidirect
87. #14583253C22semidirect
88. #14583252C22semidirect
89. #14583248C22semidirect
90. #14583236C22semidirect
91. #14583232C22semidirect
92. #14583230C22semidirect
93. #14583224C22semidirect
94. #14583220C22semidirect
95. #14583216C22semidirect
96. #14583208C22semidirect
97. #14583207C22semidirect
98. #14583205C22semidirect
99. #14583204C22semidirect
100. #14583202C22semidirect
101. #14583201C22semidirect
102. #14583199C22semidirect
103. #14583197C22semidirect
104. #14583187C22semidirect
105. #14583178C22semidirect
106. #14583156C22semidirect
107. #14583152C22semidirect
109. #14583145C22semidirect
110. #14583144C22semidirect
111. #14583142C22semidirect
113. #14583130C22semidirect
114. #14583130C22semidirect
115. #14583126C22semidirect
116. #14583119C22semidirect
117. #14583119C22semidirect
118. #14583118C22semidirect
119. #14583117C22semidirect
120. #14583116C22semidirect
121. #14583115C22semidirect
122. #14583114C22semidirect
123. #14583113C22semidirect
127. #14583112C22semidirect
128. #14583112C22semidirect
129. #14583111C22semidirect
130. #14583107C22semidirect
131. #14583103C22semidirect
132. #14583102C22semidirect
133. #14583102C22semidirect
134. #14583102C22semidirect
135. #14583102C22semidirect
136. #14583098C22semidirect
137. #14583097C22semidirect
138. #14583097C22semidirect
139. #14583097C22semidirect
140. #14583093C22semidirect
143. #14583092C22semidirect
145. #14583060C22semidirect
146. #14583058C22semidirect
147. #14583054C22semidirect
148. #14583051C22semidirect
149. #14583046C22semidirect
151. #14583043C22semidirect
152. #14583042C22semidirect
154. #14583040C22semidirect
155. #14583033C22semidirect
156. #14583033C22semidirect
158. #14583029C22semidirect
159. #14583023C22semidirect
160. #14583011C22semidirect
161. #14583008C22semidirect
162. #14583006C22semidirect
163. #14582996C22semidirect
164. #14582991C22semidirect
165. C4×#10621873C22semidirect
166. SD16×Dic43C22semidirect
167. C4×#10621883C22semidirect
169. C4×#10621882C22semidirect
170. #14582979C22semidirect
171. #14582975C22semidirect
172. #14582975C22semidirect
173. #14582967C22semidirect
174. #14582967C22semidirect
175. D4×C43⋊C8C22semidirect
176. #14582957C22semidirect
177. #14582957C22semidirect
178. #14582950C22semidirect
179. #14582927C22semidirect
180. #14582927C22semidirect
181. #14582921C22semidirect
182. #14582909C22semidirect
183. #14582901C22semidirect
184. #14582899C22semidirect
185. #14582897C22semidirect
186. #14582895C22semidirect
187. C2×#13063246C22semidirect
191. C43×#546C22semidirect
192. C43×#495C22semidirect
193. C43×#468C22semidirect
194. C43×#468C22semidirect
196. C43×#463C22semidirect
198. C43×#452C22semidirect
200. C43×#447C22semidirect
202. C43×#436C22semidirect
898. #3273D43semidirect
954. #546C2×D43semidirect
981. #495C2×D43semidirect
1011. #468C2×D43semidirect
1012. #468C2×D43semidirect
1032. #463C2×D43semidirect
1051. #452C2×D43semidirect
1064. #447C2×D43semidirect
1081. #436C2×D43semidirect
1097. C43#62027semidirect

Maximal subgroups

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

subgroupindex
#191491732
#191485242
#191476672
#191476022
#191473442
#191472392
#191468952
#191468692
#191468502
#191467252
#191465602
#191464452
#191462982
#191462092
#191462002
#191461242
#191460942
#191460372
#191460012
#191459932
#191457082
#191456412
#191455662
#191448322
#191448022
#191446402
#191441382
#191441092
#191440572
#191437392
C43×#32732
#6202743