Finite Group Databasebeta

← #25979811

Subgroups — #25979811

Order 11008.

1886 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148596C211yesmaximal, characteristic, complemented
2#19148524C211yesmaximal, characteristic, complemented
3#19147634C211yesmaximal, characteristic, complemented
4#19147541C211yesmaximal, characteristic, complemented
5#19147360C211yesmaximal, characteristic, complemented
6#19147297C211yesmaximal, characteristic, complemented
7#19147150C211yesmaximal, characteristic, complemented
8#19147071C211yesmaximal, characteristic, complemented
9#19147067C211yesmaximal, characteristic, complemented
10#19146915C211yesmaximal, characteristic, complemented
11#19146789C211yesmaximal, characteristic, complemented
12#19146740C211yesmaximal, characteristic, complemented
13#19146725C211yesmaximal, characteristic, complemented
14#19146601C211yesmaximal, characteristic, complemented
15#19146556C211yesmaximal, characteristic, complemented
16#19146209C211yesmaximal, characteristic, complemented
17#19146135C211yesmaximal, characteristic, complemented
18#19145271C211yesmaximal, characteristic, complemented
19#19145238C211yesmaximal, characteristic, complemented
20#19145187C211yesmaximal, characteristic, complemented
21#19144865C211yesmaximal, characteristic, complemented
22#19144832C211yesmaximal, characteristic, complemented
23#19144795C211yesmaximal, characteristic, complemented
24#19144787C211yesmaximal, characteristic, complemented
25#19144703C211yesmaximal, characteristic, complemented
26#19144685C211yesmaximal, characteristic, complemented
27#19143577C211yesmaximal, characteristic, complemented
28#19143479C211yesmaximal, characteristic, complemented
29#19143428C211yesmaximal, characteristic, complemented
30#19143400C211yesmaximal, characteristic, complemented
31C43×#3268C211yesmaximal, characteristic, complemented
32C2×#13063352C2211yescharacteristic
33#14583631C2211yescharacteristic
34#14583628C2211yescharacteristic, complemented
35#14583608C2211yescharacteristic
36#14583601—21no—
37#14583601—21no—
38#14583601C2211yescharacteristic
39#14583601C2211yescharacteristic, complemented
40#14583595C2211yescharacteristic
41#14583592—21no—
42#14583583C2211yescharacteristic
43#14583575—21no—
44#14583572—21no—
45#14583569—21no—
46#14583569C2211yescharacteristic, complemented
47#14583568C2211yescharacteristic
48#14583568C2211yescharacteristic, complemented
49#14583553—21no—
50#14583553C2211yescharacteristic, complemented
51#14583549C2211yescharacteristic
52#14583537C2211yescharacteristic
53#14583536—21no—
54D4×C22⋊D43C2211yescharacteristic
55#14583522C2211yescharacteristic
56#14583502—21no—
57#14583502—21no—
58#14583502C2211yescharacteristic
59#14583502C2211yescharacteristic, complemented
60#14583502C2211yescharacteristic, complemented
61#14583493—21no—
62#14583484—21no—
63#14583447—21no—
64#14583447C2211yescharacteristic, complemented
65#14583431—21no—
66#14583431C2211yescharacteristic
67#14583428C2211yescharacteristic
68#14583409—21no—
69C2×#13063307—21no—
70#14583382C2211yescharacteristic
71#14583382C2211yescharacteristic, complemented
72#14583382C2211yescharacteristic, complemented
73#14583374C2211yescharacteristic
74C4×#10621902C2211yescharacteristic, complemented
75C4×D4×D43C2211yescharacteristic
76#14583308C2211yescharacteristic, complemented
77#14583307C2211yescharacteristic, complemented
78#14583300C2211yescharacteristic, complemented
79#14583285C2211yescharacteristic, complemented
80#14583274C2211yescharacteristic
81#14583263C2211yescharacteristic, complemented
82#14583262C2211yescharacteristic
83#14583262C2211yescharacteristic, complemented
84#14583258C2211yescharacteristic, complemented
85#14583255C2211yescharacteristic, complemented
86#14583244C2211yescharacteristic, complemented
87#14583239C2211yescharacteristic, complemented
88#14583227C2211yescharacteristic, complemented
89#14583224C2211yescharacteristic, complemented
90#14583222C2211yescharacteristic
91#14583220C2211yescharacteristic, complemented
92#14583218C2211yescharacteristic
93#14583218C2211yescharacteristic, complemented
94#14583216C2211yescharacteristic, complemented
95#14583216C2211yescharacteristic, complemented
96#14583215C2211yescharacteristic, complemented
97#14583213C2211yescharacteristic, complemented
98#14583210C2211yescharacteristic, complemented
99#14583208C2211yescharacteristic, complemented
100#14583206C2211yescharacteristic, complemented
101#14583204C2211yescharacteristic, complemented
102#14583201C2211yescharacteristic
103#14583201C2211yescharacteristic, complemented
104#14583200C2211yescharacteristic, complemented
105#14583197C2211yescharacteristic
106#14583197C2211yescharacteristic, complemented
107#14583190C2211yescharacteristic, complemented
108#14583189C2211yescharacteristic
109#14583187C2211yescharacteristic, complemented
110#14583182C2211yescharacteristic, complemented
111#14583152C2211yescharacteristic
112#14583150C2211yescharacteristic, complemented
113#14583150C2211yescharacteristic, complemented
114#14583149C2211yescharacteristic
115#14583149C2211yescharacteristic
116#14583142C2211yescharacteristic, complemented
117#14583142C2211yescharacteristic, complemented
118#14583135C2211yescharacteristic, complemented
119#14583133C2211yescharacteristic
120#14583130C2211yescharacteristic, complemented
121#14583123C2211yescharacteristic, complemented
122#14583116C2211yescharacteristic, complemented
123#14583111C2211yescharacteristic, complemented
124#14583097C2211yescharacteristic
125#14583097C2211yescharacteristic, complemented
126#14583092C2211yescharacteristic
127#14583092C2211yescharacteristic
128#14583092C2211yescharacteristic
129#14583092C2211yescharacteristic, complemented
130#14583091C2211yescharacteristic, complemented
131#14583060C2211yescharacteristic, complemented
132#14583044C2211yescharacteristic
133#14583044C2211yescharacteristic
134#14583044C2211yescharacteristic, complemented
135#14583043C2211yescharacteristic
136#14583033C2211yescharacteristic
137#14583031C2211yescharacteristic
138#14583031C2211yescharacteristic
139#14583028C2211yescharacteristic, complemented
140#14583027C2211yescharacteristic, complemented
141#14583012C2211yescharacteristic, complemented
142#14583011C2211yescharacteristic
143#14583011C2211yescharacteristic
144#14583011C2211yescharacteristic
145#14583011C2211yescharacteristic, complemented
146#14583009C2211yescharacteristic
147#14583008C2211yescharacteristic, complemented
148#14583008C2211yescharacteristic, complemented
149#14583008C2211yescharacteristic, complemented
150#14583006C2211yescharacteristic, complemented
151#14583006C2211yescharacteristic, complemented
152#14583002C2211yescharacteristic, complemented
153#14583000C2211yescharacteristic
154#14583000C2211yescharacteristic, complemented
155#14582997C2211yescharacteristic, complemented
156SD16×Dic43C2211yescharacteristic
157SD16×Dic43C2211yescharacteristic
158SD16×Dic43C2211yescharacteristic, complemented
159SD16×Dic43C2211yescharacteristic, complemented
160SD16×Dic43C2211yescharacteristic, complemented
161SD16×Dic43C2211yescharacteristic, complemented
162#14582984C2211yescharacteristic, complemented
163D8×Dic43C2211yescharacteristic
164D8×Dic43C2211yescharacteristic, complemented
165D8×Dic43C2211yescharacteristic, complemented
166#14582981C2211yescharacteristic, complemented
167#14582979C2211yescharacteristic
168#14582975C2211yescharacteristic
169#14582974C2211yescharacteristic, complemented
170#14582971C2211yescharacteristic, complemented
171#14582970C2211yescharacteristic, complemented
172#14582967C2211yescharacteristic
173#14582957C2211yescharacteristic, complemented
174#14582957C2211yescharacteristic, complemented
175#14582955C2211yescharacteristic, complemented
176#14582941C2211yescharacteristic, complemented
177#14582940C2211yescharacteristic, complemented
178C2×#13063257C2211yescharacteristic, complemented
179#14582902C2211yescharacteristic
180#14582900C2211yescharacteristic
181#14582900C2211yescharacteristic, complemented
182#14582899C2211yescharacteristic, complemented
183#14582895C2211yescharacteristic, complemented
184C2×#13063246C2211yescharacteristic
185#14582857C2211yescharacteristic, complemented
186#14582854C2211yescharacteristic, complemented
187#14582851C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C43C2211yescharacteristic
189C2×#135×C43C2211yescharacteristic
190C43×#550C2211yescharacteristic, complemented
191C43×#546C2211yescharacteristic
192C43×#496C2211yescharacteristic, complemented
193C43×#468C2211yescharacteristic, complemented
194C43×#466C2211yescharacteristic, complemented
195C43×#464C2211yescharacteristic, complemented
196C43×#459C2211yescharacteristic
197C43×#452C2211yescharacteristic, complemented
198C43×#449C2211yescharacteristic
199C43×#449C2211yescharacteristic, complemented
200C43×#447C2211yescharacteristic
201C43×#440C2211yescharacteristic
202C43×#435C2211yescharacteristic, complemented
203C2×#10621902C2311yescharacteristic
204C2×#10621900—21no—
205C2×#10621900—21no—
206C2×#10621900—21no—
207C2×#10621900—21no—
208C22×C22⋊D43—21no—
209C2×D4×D43C2311yescharacteristic
210C22×C4×D43—21no—
211#13063352—24no—
212C2×#10621884C2311yescharacteristic
213C2×#10621884C2311yescharacteristic
214C2×D344C2311yescharacteristic
215C2×#10621882C2311yescharacteristic
216C2×#10621882C2311yescharacteristic
217C2×#10621882C2311yescharacteristic
218C2×#10621882C2311yescharacteristic
219C2×#10621877C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C2×#10621872C2311yescharacteristic
222C22×C43⋊C8C2311yescharacteristic
223#13063325—21no—
224#13063325C2311yescharacteristic
225#13063324C2311yescharacteristic
226#13063321—21no—
227#13063321—21no—
228#13063321C2311yescharacteristic
229#13063321C2311yescharacteristic
230#13063321C2311yescharacteristic
231#13063320—21no—
232#13063320—21no—
233#13063318—21no—
234#13063318—21no—
235#13063318—21no—
236#13063318—21no—
237#13063318D411yescharacteristic
238#13063318D411yescharacteristic
239#13063317C2311yescharacteristic
240#13063316—21no—
241#13063316—21no—
242#13063316D411yescharacteristic
243#13063316C2311yescharacteristic
244#13063316C2311yescharacteristic
245#13063316C2311yescharacteristic
246#13063315—21no—
247#13063314C2311yescharacteristic
248#13063312—21no—
249#13063312D411yescharacteristic
250#13063311—21no—
251#13063311—21no—
252#13063309—21no—
253#13063309—21no—
254#13063309—21no—
255#13063309—21no—
256#13063309—21no—
257#13063309—21no—
258#13063309—21no—
259#13063309—21no—
260#13063308—21no—
261#13063307—21no—
262#13063307—21no—
263#13063307—21no—
264#13063307—21no—
265#13063307—21no—
266#13063307—21no—
267#13063307—21no—
268#13063307—21no—
269#13063307—21no—
270#13063307D411yescharacteristic
271#13063307D411yescharacteristic
272#13063306—21no—
273#13063305—21no—
274#13063305—21no—
275#13063305D411yescharacteristic
276#13063304—21no—
277#13063302—21no—
278#13063302—21no—
279#13063302—21no—
280#13063301C2311yescharacteristic
281#13063299—21no—
282#13063299—21no—
283#13063299C2311yescharacteristic
284#13063299C2311yescharacteristic
285#13063299C2311yescharacteristic
286#13063299C2311yescharacteristic
287#13063297—21no—
288#13063297—21no—
289#13063297—21no—
290#13063297—21no—
291#13063297—21no—
292#13063297—21no—
293#13063297—21no—
294#13063297—21no—
295#13063297—21no—
296#13063297—21no—
297#13063296—21no—
298#13063296—21no—
299#13063296—21no—
300#13063296—21no—
301#13063296—21no—
302#13063296—21no—
303#13063296—21no—
304#13063296D411yescharacteristic
305#13063296C2311yescharacteristic
306#13063296C2311yescharacteristic
307#13063296C2311yescharacteristic
308#13063294—21no—
309#13063293—21no—
310#13063293—21no—
311Q8×Dic43C2311yescharacteristic
312Q8×Dic43C2311yescharacteristic
313Q8×Dic43C2311yescharacteristic
314Q8×Dic43C2311yescharacteristic
315Q8×Dic43C2311yescharacteristic
316C4×Dic86—21no—
317C4×Dic86C2311yescharacteristic
318C4×D172—21no—
319C4×D172C2311yescharacteristic
320C4×D172C2311yescharacteristic
321D4×Dic43—21no—
322D4×Dic43—21no—
323D4×Dic43—21no—
324D4×Dic43—21no—
325D4×Dic43—21no—
326D4×Dic43—21no—
327D4×Dic43—21no—
328D4×Dic43—21no—
329D4×Dic43—21no—
330D4×Dic43—21no—
331D4×Dic43—21no—
332D4×Dic43C2311yescharacteristic
333D4×Dic43C2311yescharacteristic
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340D4×Dic43C2311yescharacteristic
341#13063287—21no—
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43—21no—
347C4×C22⋊D43C2311yescharacteristic
348C4×C22⋊D43C2311yescharacteristic
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352(C22⋊D43)⋊C4—21no—
353#13063284—21no—
354#13063284—21no—
355#13063284—21no—
356#13063284C2311yescharacteristic
357#13063284C2311yescharacteristic
358#13063284C2311yescharacteristic
359#13063283—21no—
360#13063283—21no—
361#13063283C2311yescharacteristic
362#13063281—21no—
363C2×C4⋊Dic43—21no—
364C2×C4⋊Dic43—21no—
365C2×C4⋊Dic43—21no—
366C2×C4⋊Dic43C2311yescharacteristic
367C2×C4⋊Dic43C2311yescharacteristic
368C2×C4⋊Dic43C2311yescharacteristic
369C2×Dic43⋊C4—21no—
370C4⋊C4×D43C2311yescharacteristic
371C2×C22⋊Dic43—21no—
372C2×C22⋊Dic43—21no—
373C2×(C2×D43)⋊C4—21no—
374C22⋊C4×D43—21no—
375C42×D43—21no—
376C42×D43C2311yescharacteristic
377#13063259C2311yescharacteristic
378#13063259C2311yescharacteristic
379#13063259C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063258C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397#13063249C2311yescharacteristic
398#13063249C2311yescharacteristic
399#13063249C2311yescharacteristic
400#13063249C2311yescharacteristic
401#13063249C2311yescharacteristic
402#13063249C2311yescharacteristic
403#13063247C2311yescharacteristic
404#13063247C2311yescharacteristic
405#13063247C2311yescharacteristic
406#13063247C2311yescharacteristic
407#13063247C2311yescharacteristic
408#13063247C2311yescharacteristic
409#13063246C2311yescharacteristic
410#13063246C2311yescharacteristic
411#13063246C2311yescharacteristic
412#13063246C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C2×#41×C43C2311yescharacteristic
437C2×#41×C43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C22×D4×C43C2311yescharacteristic
440AGL(1,ℤ/8)×C43—24no—
441#135×C43—24no—
442C2×Q16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C2×SD16×C43C2311yescharacteristic
445C2×SD16×C43C2311yescharacteristic
446C2×SD16×C43C2311yescharacteristic
447C2×D8×C43C2311yescharacteristic
448C2×D8×C43C2311yescharacteristic
449C2×D8×C43C2311yescharacteristic
450C2×D8×C43C2311yescharacteristic
451C2×M16×C43C2311yescharacteristic
452C22×C8×C43C2311yescharacteristic
453#127×C43—21no—
454#127×C43C2311yescharacteristic
455#124×C43C2311yescharacteristic
456#123×C43—21no—
457C22⋊Q8×C43C2311yescharacteristic
458#121×C43—21no—
459#121×C43—21no—
460#121×C43—21no—
461#121×C43C2311yescharacteristic
462#121×C43C2311yescharacteristic
463#121×C43C2311yescharacteristic
464#120×C43—21no—
465C4×Q8×C43C2311yescharacteristic
466C4×D4×C43—21no—
467C4×D4×C43C2311yescharacteristic
468C4×D4×C43C2311yescharacteristic
469C2×C22⋊C4×C43—21no—
470#107×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C24×C43—21no—
482C23×D43—21no—
483#41×C43—22no—
484#41×C43—22no—
485#41×C43—22no—
486#41×C43—41no—
487#41×C43—41no—
488#41×C43—41no—
489C2×Q8×C43C2411yescharacteristic
490C2×Q8×C43C2411yescharacteristic
491C2×D4×C43—21no—
492C2×D4×C43—21no—
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—21no—
500C2×D4×C43—22no—
501C2×D4×C43—41no—
502C2×D4×C43C2×D411yescharacteristic
503C2×D4×C43C2411yescharacteristic
504C2×D4×C43C2411yescharacteristic
505C2×D4×C43C2411yescharacteristic
506C2×D4×C43C2411yescharacteristic
507C22×C4×C43—21no—
508C22×C4×C43—21no—
509C22×C4×C43—21no—
510C22×C4×C43—21no—
511C22×C4×C43C2411yescharacteristic
512C22×C4×C43C2411yescharacteristic
513C2×C22⋊D43—21no—
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—82no—
528C2×C22⋊D43C2×D411yescharacteristic
529C2×C22⋊D43C2×D411yescharacteristic
530C22×Dic43—21no—
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—
540C22×Dic43—21no—
541C22×Dic43—21no—
542#10621902—22no—
543#10621902—41no—
544#10621900—82no—
545#10621900—82no—
546#10621900—82no—
547#10621900—82no—
548D4×D43—22no—
549D4×D43—41no—
550C2×D172—21no—
551C2×D172C2411yescharacteristic
552C2×D172C2411yescharacteristic
553C2×C4×D43—21no—
554C2×C4×D43—21no—
555C2×C4×D43—21no—
556C2×C4×D43—21no—
557C2×C4×D43—21no—
558C2×C4×D43—21no—
559C2×C4×D43—82no—
560C2×C4×D43C2×D411yescharacteristic
561C2×C4×D43C2×D411yescharacteristic
562C2×C4×D43C2411yescharacteristic
563C2×Dic86—21no—
564C2×Dic86—21no—
565C2×Dic86C2×D411yescharacteristic
566Q16×C43—22no—
567SD16×C43—22no—
568SD16×C43—22no—
569SD16×C43—41no—
570SD16×C43#4114yescomplemented
571D8×C43—22no—
572D8×C43—22no—
573D8×C43—22no—
574D8×C43—41no—
575M16×C43—22no—
576C2×C8×C43—22no—
577C2×C8×C43C2411yescharacteristic
578C2×C8×C43C2411yescharacteristic
579C2×C8×C43C2411yescharacteristic
580C2×C8×C43C2411yescharacteristic
581C4⋊C4×C43—21no—
582C4⋊C4×C43—21no—
583C4⋊C4×C43C2×D411yescharacteristic
584C4⋊C4×C43C2411yescharacteristic
585C4⋊C4×C43C2411yescharacteristic
586C22⋊C4×C43—21no—
587C22⋊C4×C43—21no—
588C22⋊C4×C43—21no—
589C22⋊C4×C43—21no—
590C22⋊C4×C43—21no—
591C22⋊C4×C43—21no—
592C22⋊C4×C43—21no—
593C22⋊C4×C43C2×D411yescharacteristic
594C22⋊C4×C43C2×D411yescharacteristic
595C42×C43—21no—
596C42×C43C2411yescharacteristic
597C22⋊Dic43—21no—
598C22⋊Dic43—21no—
599C22⋊Dic43—21no—
600C22⋊Dic43—21no—
601C22⋊Dic43—21no—
602C22⋊Dic43—21no—
603C22⋊Dic43—21no—
604C22⋊Dic43—21no—
605C22⋊Dic43—21no—
606C22⋊Dic43—21no—
607C22⋊Dic43—21no—
608C22⋊Dic43—21no—
609C22⋊Dic43—21no—
610C22⋊Dic43C2×D411yescharacteristic
611C22⋊Dic43C2×D411yescharacteristic
612C22⋊Dic43C2×D411yescharacteristic
613C22⋊Dic43C2×D411yescharacteristic
614C22⋊Dic43C2×D411yescharacteristic
615C22⋊Dic43C2×D411yescharacteristic
616#10621884—22no—
617#10621884—41no—
618#10621882—22no—
619#10621882—41no—
620#10621882—41no—
621#10621882—41no—
622(C2×D43)⋊C4—21no—
623(C2×D43)⋊C4—21no—
624(C2×D43)⋊C4—21no—
625(C2×D43)⋊C4—21no—
626(C2×D43)⋊C4—21no—
627(C2×D43)⋊C4—21no—
628(C2×D43)⋊C4—21no—
629(C2×D43)⋊C4—21no—
630(C2×D43)⋊C4—21no—
631(C2×D43)⋊C4—21no—
632(C2×D43)⋊C4—21no—
633(C2×D43)⋊C4—21no—
634(C2×D43)⋊C4C2×D411yescharacteristic
635(C2×D43)⋊C4C2×D411yescharacteristic
636C4⋊Dic43—21no—
637C4⋊Dic43—21no—
638C4⋊Dic43—21no—
639C4⋊Dic43—21no—
640C4⋊Dic43—21no—
641C4⋊Dic43—21no—
642C4⋊Dic43—21no—
643C4⋊Dic43—21no—
644C4⋊Dic43—21no—
645C4⋊Dic43—21no—
646C4⋊Dic43—21no—
647C4⋊Dic43—21no—
648C4⋊Dic43C2×D411yescharacteristic
649C4⋊Dic43C2×D411yescharacteristic
650C4⋊Dic43C2×D411yescharacteristic
651C4⋊Dic43C2×D411yescharacteristic
652C4⋊Dic43C2×D411yescharacteristic
653C4⋊Dic43C2411yescharacteristic
654C4⋊Dic43C2411yescharacteristic
655C4⋊Dic43C2411yescharacteristic
656C4⋊Dic43C2411yescharacteristic
657C4⋊Dic43C2411yescharacteristic
658C4⋊Dic43C2411yescharacteristic
659Dic43⋊C4—21no—
660Dic43⋊C4—21no—
661Dic43⋊C4—21no—
662Dic43⋊C4—21no—
663Dic43⋊C4—21no—
664Dic43⋊C4—21no—
665Dic43⋊C4—21no—
666Dic43⋊C4—21no—
667Dic43⋊C4C2×D411yescharacteristic
668Dic43⋊C4C2×D411yescharacteristic
669Dic43⋊C4C2×D411yescharacteristic
670Dic43⋊C4C2×D411yescharacteristic
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43—21no—
674C4×Dic43—21no—
675C4×Dic43—21no—
676C4×Dic43—21no—
677C4×Dic43—21no—
678C4×Dic43C2×D411yescharacteristic
679C4×Dic43C2×D411yescharacteristic
680C4×Dic43C2411yescharacteristic
681C4×Dic43C2411yescharacteristic
682C4×Dic43C2411yescharacteristic
683#10621877—41no—
684C2×C43⋊C8—41no—
685C2×C43⋊C8C2411yescharacteristic
686C2×C43⋊C8C2411yescharacteristic
687C2×C43⋊C8C2411yescharacteristic
688C2×C43⋊C8C2411yescharacteristic
689D344—22no—
690#10621872—22no—
691#10621872—41no—
692C23×C43—21no—
693C23×C43—21no—
694C23×C43—21no—
695C23×C43—21no—
696C23×C43—42no—
697C23×C43—81no—
698C23×C43—81no—
699C23×C43C22×D411yescharacteristic
700C23×C43C22×D411yescharacteristic
701C22×D43—21no—
702C22×D43—21no—
703C22×D43—42no—
704C22×D43—42no—
705C22×D43—81no—
706C22×D43C22×D411yescharacteristic
707Q8×C43—21no—
708Q8×C43—21no—
709Q8×C43—21no—
710Q8×C43C2×#4112yes—
711D4×C43—21no—
712D4×C43—21no—
713D4×C43—21no—
714D4×C43—21no—
715D4×C43—21no—
716D4×C43—21no—
717D4×C43—21no—
718D4×C43—41no—
719D4×C43—42no—
720D4×C43—42no—
721D4×C43—42no—
722D4×C43—42no—
723D4×C43—42no—
724D4×C43—81no—
725D4×C43—81no—
726D4×C43—81no—
727D4×C43—81no—
728D4×C43C2×#4112yes—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—21no—
734C2×C4×C43—21no—
735C2×C4×C43—21no—
736C2×C4×C43—21no—
737C2×C4×C43—42no—
738C2×C4×C43—42no—
739C2×C4×C43—42no—
740C2×C4×C43—81no—
741C2×C4×C43C22×D411yescharacteristic
742C2×C4×C43C22×D411yescharacteristic
743C2×C4×C43C22×D411yescharacteristic
744C2×C4×C43C22×D411yescharacteristic
745C2×C4×C43C2511yescharacteristic
746C22⋊D43—41no—
747C22⋊D43—41no—
748C22⋊D43—42no—
749C22⋊D43—42no—
750C22⋊D43—81no—
751C22⋊D43—81no—
752C22⋊D43—81no—
753C22⋊D43—81no—
754C22⋊D43—81no—
755C22⋊D43—81no—
756C22⋊D43—81no—
757C22⋊D43—81no—
758C22⋊D43—81no—
759C22⋊D43—81no—
760C22⋊D43—81no—
761C22⋊D43—81no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—81no—
769C2×Dic43—81no—
770C2×Dic43—81no—
771C2×Dic43—81no—
772C2×Dic43—81no—
773C2×Dic43—81no—
774C2×Dic43—81no—
775C2×Dic43—81no—
776C2×Dic43—81no—
777C2×Dic43—81no—
778C2×Dic43—81no—
779C2×Dic43—81no—
780C2×Dic43C22×D411yescharacteristic
781C2×Dic43C22×D411yescharacteristic
782C2×Dic43C22×D411yescharacteristic
783C2×Dic43C22×D411yescharacteristic
784C2×Dic43C22×D411yescharacteristic
785C2×Dic43C22×D411yescharacteristic
786C2×Dic43C22×D411yescharacteristic
787D172—21no—
788D172—21no—
789D172—21no—
790D172—21no—
791D172—42no—
792C4×D43—21no—
793C4×D43—21no—
794C4×D43—41no—
795C4×D43—41no—
796C4×D43—42no—
797C4×D43—42no—
798C4×D43—42no—
799C4×D43—81no—
800C4×D43—81no—
801C4×D43—81no—
802Dic86—41no—
803Dic86—42no—
804Dic86—81no—
805C8×C43—21no—
806C8×C43—21no—
807C8×C43—21no—
808C8×C43C2×#4112yes—
809C43⋊C8—21no—
810C43⋊C8—21no—
811C43⋊C8—21no—
812C43⋊C8—21no—
813#61507—431nomaximal, Sylow
814C22×C43—21no—
815C22×C43—21no—
816C22×C43—21no—
817C22×C43—21no—
818C22×C43—22no—
819C22×C43—21no—
820C22×C43—21no—
821C22×C43—41no—
822C22×C43—41no—
823C22×C43—41no—
824C22×C43—41no—
825C22×C43—41no—
826C22×C43—41no—
827C22×C43—41no—
828C22×C43—41no—
829C22×C43—41no—
830C22×C43—41no—
831C22×C43—41no—
832C22×C43—162no—
833C22×C43C23×D411yescharacteristic
834C2×D43—21no—
835C2×D43—21no—
836C2×D43—21no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—84no—
844C4×C43—21no—
845C4×C43—21no—
846C4×C43—22no—
847C4×C43—21no—
848C4×C43—21no—
849C4×C43—41no—
850C4×C43—41no—
851C4×C43—41no—
852C4×C43C22×#4111yescharacteristic
853C4×C43#58511yescharacteristic
854Dic43—21no—
855Dic43—21no—
856Dic43—21no—
857Dic43—21no—
858Dic43—21no—
859Dic43—21no—
860Dic43—21no—
861Dic43—41no—
862Dic43—41no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867#3517—431no—
868#3513—431no—
869#3399—431no—
870#3388—431no—
871#3371—431no—
872#3366—431no—
873#3351—431no—
874#3345—431no—
875#3345—431no—
876#3332—431no—
877#3322—431no—
878#3318—431no—
879#3317—431no—
880#3309—431no—
881#3306—431no—
882#3274—431no—
883#3268—431no—
884#3268D4311yescharacteristic, complemented
885#3179—431no—
886#3176—431no—
887#3171—431no—
888#3125—431no—
889#3122—431no—
890#3119—431no—
891#3119—431no—
892#3111—431no—
893#3109—431no—
894#2967—431no—
895#2952—431no—
896#2946—431no—
897C4×AGL(1,ℤ/8)—431no—
898C2×C43—42no—
899C2×C43—41no—
900C2×C43—41no—
901C2×C43—81no—
902C2×C43—81no—
903C2×C43—81no—
904C2×C43D4×#4111yescharacteristic
905C2×C43#358511yescharacteristic
906C2×C43#358511yescharacteristic
907D43—41no—
908D43—81no—
909D43—81no—
910C2×AGL(1,ℤ/8)—431no—
911C2×AGL(1,ℤ/8)C2×D4311yescharacteristic
912C2×#135C2×D4311yescharacteristic
913#559—431no—
914#557—431no—
915#554—431no—
916#553—431no—
917#553—431no—
918#553—431no—
919#553—861no—
920#553—861no—
921#553—861no—
922#552—431no—
923#551—861no—
924#551—861no—
925#550—431no—
926#550—431no—
927#550—431no—
928#550—861no—
929#550C2×D4311yescharacteristic, complemented
930#547—431no—
931#547—431no—
932#547—861no—
933#546—431no—
934#546—861no—
935#546C2×D4311yescharacteristic
936D42—431no—
937#542—431no—
938#540—431no—
939#540—431no—
940#540—431no—
941#540—861no—
942#540—861no—
943#539—861no—
944#538—861no—
945#532—431no—
946#532—861no—
947#529—431no—
948#529—431no—
949#529—861no—
950#525—861no—
951C2×#123—861no—
952#520—431no—
953#520—431no—
954#520—431no—
955#518—431no—
956C4×#41—431no—
957C2×C4×D4—431no—
958#501—431no—
959#501—431no—
960#499—431no—
961#496—431no—
962#496C2×D4311yescharacteristic, complemented
963#493—431no—
964#490—431no—
965#490—431no—
966#490—431no—
967#489—431no—
968#488—431no—
969#486—431no—
970#485—431no—
971#483—431no—
972#482—431no—
973#482—431no—
974#482—431no—
975#481—431no—
976#481—431no—
977#481—431no—
978#481—431no—
979#481—431no—
980#480—431no—
981#480—431no—
982#479—431no—
983#479—431no—
984#479—431no—
985#478—431no—
986#478—431no—
987#478—431no—
988#478—431no—
989#478—431no—
990#476—431no—
991#476—431no—
992#476—431no—
993#475—431no—
994#469—431no—
995#469—431no—
996#469—431no—
997#469—431no—
998#469—431no—
999#468—431no—
1000#468—431no—
1001#468C2×D4311yescharacteristic, complemented
1002#466—431no—
1003#466—431no—
1004#466C2×D4311yescharacteristic, complemented
1005#465—431no—
1006#464—431no—
1007#464C2×D4311yescharacteristic, complemented
1008#463—431no—
1009#463—431no—
1010#460—431no—
1011#460—431no—
1012#459—431no—
1013#459—431no—
1014#459—431no—
1015#459—431no—
1016#459—431no—
1017#459C2×D4311yescharacteristic
1018#452—431no—
1019#452C2×D4311yescharacteristic, complemented
1020#449—431no—
1021#449—431no—
1022#449—431no—
1023#449—431no—
1024#449C2×D4311yescharacteristic
1025#449C2×D4311yescharacteristic, complemented
1026#447—431no—
1027#447—431no—
1028#447—431no—
1029#447C2×D4311yescharacteristic
1030#446—431no—
1031#446—431no—
1032#442—431no—
1033#442—431no—
1034#442—431no—
1035#442—431no—
1036#442—431no—
1037#442—431no—
1038#442—431no—
1039#442—431no—
1040#442—431no—
1041#441—431no—
1042#441—431no—
1043#440—431no—
1044#440—431no—
1045#440—431no—
1046#440—431no—
1047#440C2×D4311yescharacteristic
1048C4×SD16—431no—
1049C4×SD16—431no—
1050C4×SD16—431no—
1051C4×SD16—431no—
1052C4×SD16—431no—
1053C4×SD16—431no—
1054C4×SD16—431no—
1055C4×D8—431no—
1056C4×D8—431no—
1057C4×D8—431no—
1058C4×D8—431no—
1059C4×D8—431no—
1060#436—431no—
1061#436—431no—
1062#435—431no—
1063#435—431no—
1064#435—431no—
1065#435C2×D4311yescharacteristic, complemented
1066#433—431no—
1067#433—431no—
1068#432—431no—
1069#428—431no—
1070#428—431no—
1071C2×#106—431no—
1072#418—431no—
1073#417—431no—
1074#417—431no—
1075#417—431no—
1076#416—431no—
1077C2×#102—431no—
1078#405—431no—
1079#405—431no—
1080C4×M16—431no—
1081C43#6150711yescharacteristic, complemented, Sylow
1082C2×#41—431no—
1083C2×#41—861no—
1084C2×#41—861no—
1085C2×#41—861no—
1086C2×#41—861no—
1087C2×#41C22×D4311yescharacteristic
1088C2×#41C22×D4311yescharacteristic
1089C2×#41C22×D4311yescharacteristic
1090C22×D4—431no—
1091C22×D4—861no—
1092C22×D4C22×D4311yescharacteristic
1093C23×C4—861no—
1094AGL(1,ℤ/8)—24no—
1095AGL(1,ℤ/8)—864no—
1096#135—24no—
1097C2×Q16C22×D4311yescharacteristic
1098C2×SD16—431no—
1099C2×SD16—431no—
1100C2×SD16C22×D4311yescharacteristic
1101C2×SD16C22×D4311yescharacteristic
1102C2×SD16C22×D4311yescharacteristic
1103C2×SD16C22×D4311yescharacteristic
1104C2×D8—431no—
1105C2×D8—431no—
1106C2×D8—431no—
1107C2×D8—431no—
1108C2×D8—431no—
1109C2×D8C22×D4311yescharacteristic
1110C2×D8C22×D4311yescharacteristic
1111C2×D8C22×D4311yescharacteristic
1112C2×D8C22×D4311yescharacteristic
1113C2×M16—431no—
1114C2×M16—431no—
1115C2×M16—431no—
1116C2×M16C22×D4311yescharacteristic
1117C22×C8—431no—
1118C22×C8C22×D4311yescharacteristic
1119C4⋊Q8—431no—
1120C4⋊Q8—431no—
1121C4⋊Q8—861no—
1122#127—21no—
1123#127—431no—
1124#127—431no—
1125#127—431no—
1126#127—861no—
1127#127—861no—
1128#127C22×D4311yescharacteristic
1129#126—431no—
1130#126—431no—
1131#126—861no—
1132#126—861no—
1133#126—861no—
1134#126—861no—
1135#126—861no—
1136#126—861no—
1137#125—431no—
1138#125—431no—
1139#125—431no—
1140#125—431no—
1141#125—431no—
1142#125—861no—
1143#125—861no—
1144#125—861no—
1145#124—431no—
1146#124—431no—
1147#124—861no—
1148#124—861no—
1149#124—861no—
1150#124C22×D4311yescharacteristic
1151#123—21no—
1152#123—431no—
1153#123—431no—
1154#123—861no—
1155#123—861no—
1156#123—861no—
1157#123—861no—
1158#123—861no—
1159#123—861no—
1160#123—861no—
1161#123—861no—
1162#123—861no—
1163#123—861no—
1164#123—861no—
1165#123—861no—
1166#123—861no—
1167#123—861no—
1168#123—861no—
1169#123—861no—
1170#123—861no—
1171#123—861no—
1172#123—861no—
1173C22⋊Q8—431no—
1174C22⋊Q8—431no—
1175C22⋊Q8—861no—
1176C22⋊Q8—861no—
1177C22⋊Q8—861no—
1178C22⋊Q8—861no—
1179C22⋊Q8—861no—
1180C22⋊Q8—861no—
1181C22⋊Q8C22×D4311yescharacteristic
1182#121—21no—
1183#121—21no—
1184#121—21no—
1185#121—431no—
1186#121—431no—
1187#121—431no—
1188#121—431no—
1189#121—431no—
1190#121—431no—
1191#121—431no—
1192#121—431no—
1193#121—861no—
1194#121—861no—
1195#121—861no—
1196#121—861no—
1197#121—861no—
1198#121—861no—
1199#121—861no—
1200#121—861no—
1201#121—861no—
1202#121—861no—
1203#121—861no—
1204#121—861no—
1205#121—861no—
1206#121—861no—
1207#121—861no—
1208#121—861no—
1209#121—861no—
1210#121—861no—
1211#121—861no—
1212#121C22×D4311yescharacteristic
1213#121C22×D4311yescharacteristic
1214#121C22×D4311yescharacteristic
1215#120—21no—
1216#120—861no—
1217#120—861no—
1218#120—861no—
1219C4×Q8—431no—
1220C4×Q8—431no—
1221C4×Q8—431no—
1222C4×Q8—431no—
1223C4×Q8—431no—
1224C4×Q8—431no—
1225C4×Q8—861no—
1226C4×Q8C22×D4311yescharacteristic
1227C4×D4—21no—
1228C4×D4—431no—
1229C4×D4—431no—
1230C4×D4—431no—
1231C4×D4—431no—
1232C4×D4—431no—
1233C4×D4—431no—
1234C4×D4—431no—
1235C4×D4—431no—
1236C4×D4—431no—
1237C4×D4—431no—
1238C4×D4—431no—
1239C4×D4—431no—
1240C4×D4—431no—
1241C4×D4—431no—
1242C4×D4—431no—
1243C4×D4—861no—
1244C4×D4—861no—
1245C4×D4—861no—
1246C4×D4—861no—
1247C4×D4—861no—
1248C4×D4—861no—
1249C4×D4—861no—
1250C4×D4—861no—
1251C4×D4—861no—
1252C4×D4—861no—
1253C4×D4—861no—
1254C4×D4—861no—
1255C4×D4—861no—
1256C4×D4—861no—
1257C4×D4—861no—
1258C4×D4—861no—
1259C4×D4—861no—
1260C4×D4—861no—
1261C4×D4—861no—
1262C4×D4—861no—
1263C4×D4C22×D4311yescharacteristic
1264C4×D4C22×D4311yescharacteristic
1265#117—431no—
1266#117—431no—
1267#117—431no—
1268#117—431no—
1269#117—861no—
1270#117—861no—
1271#117—861no—
1272#117—861no—
1273#117—861no—
1274#117—861no—
1275C2×C4⋊C4—431no—
1276C2×C4⋊C4—431no—
1277C2×C4⋊C4—431no—
1278C2×C4⋊C4—431no—
1279C2×C4⋊C4—861no—
1280C2×C4⋊C4—861no—
1281C2×C4⋊C4—861no—
1282C2×C4⋊C4—861no—
1283C2×C22⋊C4—21no—
1284C2×C22⋊C4—861no—
1285C2×C22⋊C4—861no—
1286C2×C22⋊C4—861no—
1287C2×C22⋊C4—861no—
1288C2×C42—431no—
1289C2×C42—861no—
1290#107—431no—
1291#107—431no—
1292#107—431no—
1293#107—431no—
1294#107—431no—
1295#107C22×D4311yescharacteristic
1296#106—431no—
1297#106—431no—
1298#106—431no—
1299#106—431no—
1300#106—431no—
1301#106—431no—
1302#106—431no—
1303#106—431no—
1304#106—431no—
1305#106—431no—
1306C4⋊C8—431no—
1307C4⋊C8—431no—
1308C4⋊C8—431no—
1309C4⋊C8—431no—
1310C4⋊C8—431no—
1311C4⋊C8C22×D4311yescharacteristic
1312#103—431no—
1313#103—431no—
1314#103—431no—
1315#103—431no—
1316#103—431no—
1317#103—431no—
1318#103C22×D4311yescharacteristic
1319#103C22×D4311yescharacteristic
1320#102—431no—
1321#102—431no—
1322#102—431no—
1323#102—431no—
1324#102—431no—
1325#102—431no—
1326#102—431no—
1327#102—431no—
1328#102—431no—
1329#102—431no—
1330#102—431no—
1331#102—431no—
1332#102—431no—
1333#102—431no—
1334#102—431no—
1335#102—431no—
1336#102—431no—
1337#102—431no—
1338#102—431no—
1339#102—431no—
1340#102C22×D4311yescharacteristic
1341#102C22×D4311yescharacteristic
1342#102C22×D4311yescharacteristic
1343#102C22×D4311yescharacteristic
1344C22⋊C8—431no—
1345C22⋊C8—431no—
1346C22⋊C8—431no—
1347C22⋊C8—431no—
1348C22⋊C8C22×D4311yescharacteristic
1349C22⋊C8C22×D4311yescharacteristic
1350#97—431no—
1351#97—431no—
1352#97—431no—
1353#97—431no—
1354#97—431no—
1355#97C22×D4311yescharacteristic
1356C4×C8—431no—
1357C4×C8—431no—
1358C4×C8—431no—
1359C4×C8—431no—
1360C24—21no—
1361C24—861no—
1362#41—22no—
1363#41—22no—
1364#41—22no—
1365#41—41no—
1366#41—41no—
1367#41—41no—
1368#41—862no—
1369#41—3442no—
1370#41—3442no—
1371#41—3442no—
1372#41—3442no—
1373#41—1721no—
1374C2×Q8—431no—
1375C2×Q8—861no—
1376C2×Q8—861no—
1377C2×Q8C23×D4311yescharacteristic
1378C2×Q8C23×D4311yescharacteristic
1379C2×D4—22no—
1380C2×D4—21no—
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—21no—
1384C2×D4—21no—
1385C2×D4—21no—
1386C2×D4—21no—
1387C2×D4—21no—
1388C2×D4—21no—
1389C2×D4—41no—
1390C2×D4—431no—
1391C2×D4—431no—
1392C2×D4—431no—
1393C2×D4—431no—
1394C2×D4—861no—
1395C2×D4—861no—
1396C2×D4—861no—
1397C2×D4—861no—
1398C2×D4—861no—
1399C2×D4—861no—
1400C2×D4—861no—
1401C2×D4—861no—
1402C2×D4—862no—
1403C2×D4—861no—
1404C2×D4—861no—
1405C2×D4—861no—
1406C2×D4—861no—
1407C2×D4—861no—
1408C2×D4—861no—
1409C2×D4—861no—
1410C2×D4—3442no—
1411C2×D4—1721no—
1412C2×D4D4×D4311yescharacteristic
1413C2×D4C23×D4311yescharacteristic
1414C2×D4C23×D4311yescharacteristic
1415C2×D4C23×D4311yescharacteristic
1416C2×D4C23×D4311yescharacteristic
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—431no—
1422C22×C4—431no—
1423C22×C4—431no—
1424C22×C4—861no—
1425C22×C4—861no—
1426C22×C4—861no—
1427C22×C4—861no—
1428C22×C4—861no—
1429C22×C4—861no—
1430C22×C4—861no—
1431C22×C4—861no—
1432C22×C4—861no—
1433C22×C4—861no—
1434C22×C4—861no—
1435C22×C4—861no—
1436C22×C4—861no—
1437C22×C4—861no—
1438C22×C4—861no—
1439C22×C4—861no—
1440C22×C4—861no—
1441C22×C4—861no—
1442C22×C4—3442no—
1443C22×C4C23×D4311yescharacteristic
1444C22×C4C23×D4311yescharacteristic
1445Q16—22no—
1446SD16—22no—
1447SD16—22no—
1448SD16—41no—
1449SD16—862no—
1450SD16—1721no—
1451SD16#1062190014yescomplemented
1452D8—22no—
1453D8—22no—
1454D8—22no—
1455D8—41no—
1456D8—862no—
1457D8—862no—
1458D8—1721no—
1459D8—1721no—
1460D8—1721no—
1461M16—22no—
1462M16—862no—
1463M16—1721no—
1464M16—1721no—
1465C2×C8—22no—
1466C2×C8—431no—
1467C2×C8—431no—
1468C2×C8—431no—
1469C2×C8—431no—
1470C2×C8—1721no—
1471C2×C8C23×D4311yescharacteristic
1472C2×C8C23×D4311yescharacteristic
1473C2×C8C23×D4311yescharacteristic
1474C2×C8C23×D4311yescharacteristic
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—431no—
1478C4⋊C4—431no—
1479C4⋊C4—431no—
1480C4⋊C4—431no—
1481C4⋊C4—431no—
1482C4⋊C4—431no—
1483C4⋊C4—431no—
1484C4⋊C4—431no—
1485C4⋊C4—431no—
1486C4⋊C4—431no—
1487C4⋊C4—431no—
1488C4⋊C4—431no—
1489C4⋊C4—431no—
1490C4⋊C4—431no—
1491C4⋊C4—431no—
1492C4⋊C4—861no—
1493C4⋊C4—861no—
1494C4⋊C4—861no—
1495C4⋊C4—861no—
1496C4⋊C4—861no—
1497C4⋊C4—861no—
1498C4⋊C4—861no—
1499C4⋊C4—861no—
1500C4⋊C4—861no—
1501C4⋊C4—861no—
1502C4⋊C4—861no—
1503C4⋊C4—861no—
1504C4⋊C4—861no—
1505C4⋊C4—861no—
1506C4⋊C4—861no—
1507C4⋊C4—861no—
1508C4⋊C4—861no—
1509C4⋊C4—861no—
1510C4⋊C4—861no—
1511C4⋊C4—861no—
1512C4⋊C4D4×D4311yescharacteristic
1513C4⋊C4C23×D4311yescharacteristic
1514C4⋊C4C23×D4311yescharacteristic
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—431no—
1523C22⋊C4—431no—
1524C22⋊C4—431no—
1525C22⋊C4—431no—
1526C22⋊C4—431no—
1527C22⋊C4—431no—
1528C22⋊C4—431no—
1529C22⋊C4—431no—
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—861no—
1544C22⋊C4—861no—
1545C22⋊C4—861no—
1546C22⋊C4—861no—
1547C22⋊C4—861no—
1548C22⋊C4—861no—
1549C22⋊C4—861no—
1550C22⋊C4—861no—
1551C22⋊C4—861no—
1552C22⋊C4—861no—
1553C22⋊C4—861no—
1554C22⋊C4—861no—
1555C22⋊C4D4×D4311yescharacteristic
1556C22⋊C4D4×D4311yescharacteristic
1557C42—21no—
1558C42—431no—
1559C42—431no—
1560C42—431no—
1561C42—431no—
1562C42—431no—
1563C42—861no—
1564C42—861no—
1565C42—861no—
1566C42—861no—
1567C42—861no—
1568C42—861no—
1569C42—861no—
1570C42C23×D4311yescharacteristic
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—42no—
1576C23—81no—
1577C23—81no—
1578C23—431no—
1579C23—861no—
1580C23—861no—
1581C23—3441no—
1582C23—1722no—
1583C23—1722no—
1584C23C2×D4×D4311yescharacteristic
1585C23C2×D4×D4311yescharacteristic
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—3441no—
1590Q8—1721no—
1591Q8—1722no—
1592Q8C2×#1062190012yes—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—21no—
1600D4—41no—
1601D4—42no—
1602D4—42no—
1603D4—42no—
1604D4—42no—
1605D4—42no—
1606D4—81no—
1607D4—81no—
1608D4—81no—
1609D4—81no—
1610D4—861no—
1611D4—861no—
1612D4—861no—
1613D4—861no—
1614D4—3441no—
1615D4—3441no—
1616D4—3441no—
1617D4—3441no—
1618D4—3441no—
1619D4—3441no—
1620D4—3441no—
1621D4—3441no—
1622D4—3441no—
1623D4—3441no—
1624D4—3441no—
1625D4—3441no—
1626D4—1722no—
1627D4—1721no—
1628D4—1721no—
1629D4—1722no—
1630D4—1722no—
1631D4C2×#1062190012yes—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—42no—
1641C2×C4—42no—
1642C2×C4—42no—
1643C2×C4—81no—
1644C2×C4—431no—
1645C2×C4—431no—
1646C2×C4—431no—
1647C2×C4—431no—
1648C2×C4—431no—
1649C2×C4—431no—
1650C2×C4—431no—
1651C2×C4—861no—
1652C2×C4—861no—
1653C2×C4—861no—
1654C2×C4—861no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—3441no—
1660C2×C4—3441no—
1661C2×C4—3441no—
1662C2×C4—3441no—
1663C2×C4—3441no—
1664C2×C4—3441no—
1665C2×C4—3441no—
1666C2×C4—3441no—
1667C2×C4—3441no—
1668C2×C4—3441no—
1669C2×C4—3441no—
1670C2×C4—3441no—
1671C2×C4—3441no—
1672C2×C4—3441no—
1673C2×C4—3441no—
1674C2×C4—1721no—
1675C2×C4—1721no—
1676C2×C4—1722no—
1677C2×C4—1722no—
1678C2×C4—1722no—
1679C2×C4C2×D4×D4311yescharacteristic
1680C2×C4C2×D4×D4311yescharacteristic
1681C2×C4C2×D4×D4311yescharacteristic
1682C2×C4C2×D4×D4311yescharacteristic
1683C2×C4C24×D4311yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—861no—
1688C8—861no—
1689C8—861no—
1690C8—861no—
1691C8C2×#1062190012yes—
1692C22—21no—
1693C22—21no—
1694C22—22no—
1695C22—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—162no—
1711C22—861no—
1712C22—861no—
1713C22—861no—
1714C22—3444no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22C22×D4×D4311yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—22no—
1725C4—21no—
1726C4—21no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—861no—
1731C4—861no—
1732C4—861no—
1733C4—861no—
1734C4—861no—
1735C4—861no—
1736C4—861no—
1737C4—1721no—
1738C4—1721no—
1739C4—1721no—
1740C4—1721no—
1741C4—1721no—
1742C4—1721no—
1743C4C22×#1062190011yescharacteristic
1744C4#1458373411yescharacteristic
1745C2—41no—
1746C2—41no—
1747C2—42no—
1748C2—81no—
1749C2—81no—
1750C2—81no—
1751C2—3441no—
1752C2—3441no—
1753C2—1721no—
1754C2D4×#1062190011yescharacteristic
1755C2#1914937011yescharacteristic
1756C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3268C2
socleC22×C43C23×D4
hypercenter#3268D43
hypocenterC43#61507
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3268

Complements

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

NH ≅ G/Ntype
1. #19148596C2semidirect
2. #19148524C2semidirect
3. #19147634C2semidirect
4. #19147541C2semidirect
5. #19147360C2semidirect
6. #19147297C2semidirect
7. #19147150C2semidirect
8. #19147071C2semidirect
9. #19147067C2semidirect
10. #19146915C2semidirect
11. #19146789C2semidirect
12. #19146740C2semidirect
13. #19146725C2semidirect
14. #19146601C2semidirect
15. #19146556C2semidirect
16. #19146209C2semidirect
17. #19146135C2semidirect
18. #19145271C2semidirect
19. #19145238C2semidirect
20. #19145187C2semidirect
21. #19144865C2semidirect
22. #19144832C2semidirect
23. #19144795C2semidirect
24. #19144787C2semidirect
25. #19144703C2semidirect
26. #19144685C2semidirect
27. #19143577C2semidirect
28. #19143479C2semidirect
29. #19143428C2semidirect
30. #19143400C2semidirect
31. C43×#3268C2semidirect
34. #14583628C22semidirect
39. #14583601C22semidirect
46. #14583569C22semidirect
48. #14583568C22semidirect
50. #14583553C22semidirect
59. #14583502C22semidirect
60. #14583502C22semidirect
64. #14583447C22semidirect
71. #14583382C22semidirect
72. #14583382C22semidirect
74. C4×#10621902C22semidirect
76. #14583308C22semidirect
77. #14583307C22semidirect
78. #14583300C22semidirect
79. #14583285C22semidirect
81. #14583263C22semidirect
83. #14583262C22semidirect
84. #14583258C22semidirect
85. #14583255C22semidirect
86. #14583244C22semidirect
87. #14583239C22semidirect
88. #14583227C22semidirect
89. #14583224C22semidirect
91. #14583220C22semidirect
93. #14583218C22semidirect
94. #14583216C22semidirect
95. #14583216C22semidirect
96. #14583215C22semidirect
97. #14583213C22semidirect
98. #14583210C22semidirect
99. #14583208C22semidirect
100. #14583206C22semidirect
101. #14583204C22semidirect
103. #14583201C22semidirect
104. #14583200C22semidirect
106. #14583197C22semidirect
107. #14583190C22semidirect
109. #14583187C22semidirect
110. #14583182C22semidirect
112. #14583150C22semidirect
113. #14583150C22semidirect
116. #14583142C22semidirect
117. #14583142C22semidirect
118. #14583135C22semidirect
120. #14583130C22semidirect
121. #14583123C22semidirect
122. #14583116C22semidirect
123. #14583111C22semidirect
125. #14583097C22semidirect
129. #14583092C22semidirect
130. #14583091C22semidirect
131. #14583060C22semidirect
134. #14583044C22semidirect
139. #14583028C22semidirect
140. #14583027C22semidirect
141. #14583012C22semidirect
145. #14583011C22semidirect
147. #14583008C22semidirect
148. #14583008C22semidirect
149. #14583008C22semidirect
150. #14583006C22semidirect
151. #14583006C22semidirect
152. #14583002C22semidirect
154. #14583000C22semidirect
155. #14582997C22semidirect
158. SD16×Dic43C22semidirect
159. SD16×Dic43C22semidirect
160. SD16×Dic43C22semidirect
161. SD16×Dic43C22semidirect
162. #14582984C22semidirect
164. D8×Dic43C22semidirect
165. D8×Dic43C22semidirect
166. #14582981C22semidirect
169. #14582974C22semidirect
170. #14582971C22semidirect
171. #14582970C22semidirect
173. #14582957C22semidirect
174. #14582957C22semidirect
175. #14582955C22semidirect
176. #14582941C22semidirect
177. #14582940C22semidirect
178. C2×#13063257C22semidirect
181. #14582900C22semidirect
182. #14582899C22semidirect
183. #14582895C22semidirect
185. #14582857C22semidirect
186. #14582854C22semidirect
187. #14582851C22semidirect
190. C43×#550C22semidirect
192. C43×#496C22semidirect
193. C43×#468C22semidirect
194. C43×#466C22semidirect
195. C43×#464C22semidirect
197. C43×#452C22semidirect
199. C43×#449C22semidirect
202. C43×#435C22semidirect
570. SD16×C43#41semidirect
884. #3268D43semidirect
929. #550C2×D43semidirect
962. #496C2×D43semidirect
1001. #468C2×D43semidirect
1004. #466C2×D43semidirect
1007. #464C2×D43semidirect
1019. #452C2×D43semidirect
1025. #449C2×D43semidirect
1065. #435C2×D43semidirect
1081. C43#61507semidirect
1451. SD16#10621900semidirect

Maximal subgroups

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

subgroupindex
#191485962
#191485242
#191476342
#191475412
#191473602
#191472972
#191471502
#191470712
#191470672
#191469152
#191467892
#191467402
#191467252
#191466012
#191465562
#191462092
#191461352
#191452712
#191452382
#191451872
#191448652
#191448322
#191447952
#191447872
#191447032
#191446852
#191435772
#191434792
#191434282
#191434002
C43×#32682
#6150743