Finite Group Databasebeta

← Group #11785591

Character table — Group #11785591

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222222444444444444444444444444444444666666666666888888888888888812121212121212121212121212121212121224242424242424242424242472727272
order122222334444666666121212122234466666666666121212121212121212121212121288882424242424242424666666661212121212121212888888242424242424242424242424448812121212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-11-1-11111-1-1-1-111111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111-1-11-1-11111-1-1-1-111111111-1-1-1-111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111-1-11-1-11111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111-1-11-1-11111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ911-1-11-1111-11-1-1-1-111-1-1-1111-111-111-1-111-1-1-1-11111-1-111-1-111-1-1-111-1-11111-1-1-1-11-11-111-1-11-11-111-1-11-111-1-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−ii−ii−i
χ1011-1-11-1111-11-1-1-1-111-1-1-1111-111-111-1-111-1-1-1-11111-1-111-1-111-1-1-111-1-11111-1-1-1-11-11-111-1-11-11-111-1-11-111-1-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−ii−ii
χ1111-1-11-1111-11-1-1-1-111-1-1-1111-111-111-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-111-1-1-1-111111-11-111-1-11-11-111-1-1-11-1-111-1-111-1-1-1-11111i−ii−iii−i−iii−i−i−ii−ii
χ1211-1-11-1111-11-1-1-1-111-1-1-1111-111-111-1-111-1-1-1-11111-1-111-1-111-1-1-1-1-111-1-1-1-111111-11-111-1-11-11-111-1-1-11-1-111-1-111-1-1-1-11111−ii−ii−i−iii−i−iiii−ii−i
χ1311-1-11-1111-11-1-1-1-111-1-1-111-111-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-111-1-11111-1-1-1-1-111-1-1-111-111-1-1-1111-1-1-11111-1-1-1-1-1-11111i−i−iiii−i−i−i−iiii−i−ii
χ1411-1-11-1111-11-1-1-1-111-1-1-111-111-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-111-1-11111-1-1-1-1-111-1-1-111-111-1-1-1111-1-1-11111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−iii−i
χ1511-1-11-1111-11-1-1-1-111-1-1-111-111-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-11111-111-1-1-111-111-1-1-111-1111-1-1-1-1111111-1-1-1-1i−i−iiii−i−i−i−iii−iii−i
χ1611-1-11-1111-11-1-1-1-111-1-1-111-111-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-11111-111-1-1-111-111-1-1-111-1111-1-1-1-1111111-1-1-1-1−iii−i−i−iiiii−i−ii−i−ii
χ1722222222-2-2-2-2222222-2-2-2-20020022220000222-2-2-2-2-20000-2-2-2-2-20000000000000022000000-2-20000002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i0000000000000000
χ1822222222-2-2-2-2222222-2-2-2-20020022220000222-2-2-2-2-20000-2-2-2-2-20000000000000022000000-2-2000000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ192222222-1222222-12-1-1222222-1222-12-12222-1-1-12-1-12-12222-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002222-1-1-1-1-1-1-1-10000
χ202222222-1222222-12-1-1222222-1222-12-12222-1-1-12-1-12-12222-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-2-2-2111111110000
χ212222222-1222222-12-1-12222-2-2-1-2-22-12-1-2-2-2-2-1-1-12-1-12-1-2-2-2-2-1-1-1-1-100000000000011-1-1111111-1-1111100000000000000000022-2-2-1-1-1-111110000
χ222222222-1222222-12-1-12222-2-2-1-2-22-12-1-2-2-2-2-1-1-12-1-12-1-2-2-2-2-1-1-1-1-100000000000011-1-1111111-1-11111000000000000000000-2-2221111-1-1-1-10000
χ23222222-122222-1-12-122-1-1-1-122-122-12-12-1-1-1-1-1-1-1-122-12-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ24222222-122222-1-12-122-1-1-1-122-122-12-12-1-1-1-1-1-1-1-122-12-1-1-1-1-1-1-1-12-2-2-2-21111111122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-21111111111110000000000000000
χ25222222-122222-1-12-122-1-1-1-1-2-2-1-2-2-12-121111-1-1-1-122-121111-1-1-1-122222-1-1-1-1-1-1-1-1-2-2-1-11111-2-2-1-1111122-2-2-2-2-1-1-1-1111111110000000000000000
χ26222222-122222-1-12-122-1-1-1-1-2-2-1-2-2-12-121111-1-1-1-122-121111-1-1-1-12-2-2-2-211111111-2-2-1-11111-2-2-1-11111-2-222221111-1-1-1-1-1-1-1-10000000000000000
χ27222222-12-2-2-2-2-1-12-122111100-100-12-12−i3i3−i3i3-1-1-11-2-21-2−i3i3−i3i31111-2000033−3−333−3−300-1-1−i3i3−i3i30011−i3i3−i3i3002i−2i2i−2i3−33−3−i−iii−i−iii0000000000000000
χ28222222-12-2-2-2-2-1-12-122111100-100-12-12−i3i3−i3i3-1-1-11-2-21-2−i3i3−i3i31111-20000−3−333−3−33300-1-1−i3i3−i3i30011−i3i3−i3i300−2i2i−2i2i−33−33ii−i−iii−i−i0000000000000000
χ29222222-12-2-2-2-2-1-12-122111100-100-12-12i3−i3i3−i3-1-1-11-2-21-2i3−i3i3−i31111-2000033−3−333−3−300-1-1i3−i3i3−i30011i3−i3i3−i300−2i2i−2i2i3−33−3ii−i−iii−i−i0000000000000000
χ30222222-12-2-2-2-2-1-12-122111100-100-12-12i3−i3i3−i3-1-1-11-2-21-2i3−i3i3−i31111-20000−3−333−3−33300-1-1i3−i3i3−i30011i3−i3i3−i3002i−2i2i−2i−33−33−i−iii−i−iii0000000000000000
χ312222-2-2222-2-22222222-2-2-2-2222-2-2-2-2-2-2222222222-22-2-2-2-2-2-2-2-2-2200000000000022-2-22222-2-222-2-2-2-20000000000000000000000000000000000
χ322222-2-2222-2-22222222-2-2-2-2-2-2222-2-2-2-2-2-2-2-222222-22-22222-2-2-2-22000000000000-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000
χ332222-2-222-222-2222222222200200-2-2-2-20000222-2-22-2200002222-222222222222200-2-2000000-2-20000-2-20000-2-2-2-2000000000000000000000000
χ342222-2-222-222-2222222222200200-2-2-2-20000222-2-22-2200002222-2-2-2-2-2-2-2-2-2-2-2-2-200-2-2000000-2-200002200002222000000000000000000000000
χ352222-2-22-12-2-2222-12-1-1-2-2-2-222-1-2-2-21-212222-1-1-12-1121-2-2-2-21111-1000000000000-1-111-1-1-1-111-1-111110000000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ362222-2-22-12-2-2222-12-1-1-2-2-2-222-1-2-2-21-212222-1-1-12-1121-2-2-2-21111-1000000000000-1-111-1-1-1-111-1-111110000000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ372222-2-22-12-2-2222-12-1-1-2-2-2-2-2-2-122-21-21-2-2-2-2-1-1-12-112122221111-100000000000011111111-1-1-1-1-1-1-1-10000000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ382222-2-22-12-2-2222-12-1-1-2-2-2-2-2-2-122-21-21-2-2-2-2-1-1-12-112122221111-100000000000011111111-1-1-1-1-1-1-1-10000000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ392222-2-2-122-2-22-1-12-122111122-1-2-21-21-2-1-1-1-1-1-1-1-12-2-1-2111111112000033−3−333−3−32211-1-1-1-1-2-2-1-11111000000−33−333−33−33−33−30000000000000000
χ402222-2-2-122-2-22-1-12-122111122-1-2-21-21-2-1-1-1-1-1-1-1-12-2-1-21111111120000−3−333−3−3332211-1-1-1-1-2-2-1-111110000003−33−3−33−33−33−330000000000000000
χ412222-2-2-122-2-22-1-12-1221111-2-2-1221-21-21111-1-1-1-12-2-1-2-1-1-1-111112000033−3−333−3−3-2-211111122-1-1-1-1-1-1000000−33−33−33−33−33−330000000000000000
χ422222-2-2-122-2-22-1-12-1221111-2-2-1221-21-21111-1-1-1-12-2-1-2-1-1-1-1111120000−3−333−3−333-2-211111122-1-1-1-1-1-10000003−33−33−33−33−33−30000000000000000
χ432222-2-2-12-222-2-1-12-122-1-1-1-100-1001-21-2−i3i3−i3i3-1-1-11-2212i3−i3i3−i3-1-1-1-1-22222-1-1-1-1-1-1-1-10011−i3i3−i3i30011i3−i3i3−i3-2-200001111−i3i3i3−i3−i3i3i3−i30000000000000000
χ442222-2-2-12-222-2-1-12-122-1-1-1-100-1001-21-2−i3i3−i3i3-1-1-11-2212i3−i3i3−i3-1-1-1-1-2-2-2-2-2111111110011−i3i3−i3i30011i3−i3i3−i3220000-1-1-1-1i3−i3−i3i3i3−i3−i3i30000000000000000
χ452222-2-2-12-222-2-1-12-122-1-1-1-100-1001-21-2i3−i3i3−i3-1-1-11-2212−i3i3−i3i3-1-1-1-1-22222-1-1-1-1-1-1-1-10011i3−i3i3−i30011−i3i3−i3i3-2-200001111i3−i3−i3i3i3−i3−i3i30000000000000000
χ462222-2-2-12-222-2-1-12-122-1-1-1-100-1001-21-2i3−i3i3−i3-1-1-11-2212−i3i3−i3i3-1-1-1-1-2-2-2-2-2111111110011i3−i3i3−i30011−i3i3−i3i3220000-1-1-1-1−i3i3i3−i3−i3i3i3−i30000000000000000
χ4722-2-22-222-22-22-2-2-222-222-2-20020022-2-20000-2-22-2-2-2220000-2-2222000000000000002-2000000-220000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i0000000000000000
χ4822-2-22-222-22-22-2-2-222-222-2-20020022-2-20000-2-22-2-2-2220000-2-2222000000000000002-2000000-22000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ4922-2-22-22-12-22-2-2-212-11-2-2222-2-12-22-1-2122-2-211-12-1-1-2122-2-2-1-1111000000000000-11-11-1-111-11-11-1-1110000000000000000002i−2i2i−2i−i−iii−i−iii0000
χ5022-2-22-22-12-22-2-2-212-11-2-2222-2-12-22-1-2122-2-211-12-1-1-2122-2-2-1-1111000000000000-11-11-1-111-11-11-1-111000000000000000000−2i2i−2i2iii−i−iii−i−i0000
χ5122-2-22-22-12-22-2-2-212-11-2-222-22-1-222-1-21-2-22211-12-1-1-21-2-222-1-11110000000000001-1-1111-1-11-1-1111-1-10000000000000000002i−2i−2i2i−i−iiiii−i−i0000
χ5222-2-22-22-12-22-2-2-212-11-2-222-22-1-222-1-21-2-22211-12-1-1-21-2-222-1-11110000000000001-1-1111-1-11-1-1111-1-1000000000000000000−2i2i2i−2iii−i−i−i−iii0000
χ5322-2-22-2-122-22-211-2-12-211-1-12-2-12-2-121-2-1-11111-1-1221-2-1-111-1-111-222-2-2-1-1-1-111112-2-11-1-1112-2-11-1-1112-222-2-2-1-111-1-1-1-111110000000000000000
χ5422-2-22-2-122-22-211-2-12-211-1-12-2-12-2-121-2-1-11111-1-1221-2-1-111-1-111-2-2-2221111-1-1-1-12-2-11-1-1112-2-11-1-111-22-2-22211-1-11111-1-1-1-10000000000000000
χ5522-2-22-2-122-22-211-2-12-211-1-1-22-1-22-121-211-1-111-1-1221-211-1-1-1-111-222-2-2-1-1-1-11111-22-1111-1-1-22-1111-1-12-2-2-222-1-1111111-1-1-1-10000000000000000
χ5622-2-22-2-122-22-211-2-12-211-1-1-22-1-22-121-211-1-111-1-1221-211-1-1-1-111-2-2-2221111-1-1-1-1-22-1111-1-1-22-1111-1-1-2222-2-211-1-1-1-1-1-111110000000000000000
χ5722-2-22-2-12-22-2211-2-12-2-1-11100-100-121-2−i3i3i3−i311-11-2-2-12−i3i3i3−i311-1-12000033−3−3−3−33300-11−i3i3i3−i3001-1−i3i3i3−i3002i−2i−2i2i3−3−33−i−iiiii−i−i0000000000000000
χ5822-2-22-2-12-22-2211-2-12-2-1-11100-100-121-2−i3i3i3−i311-11-2-2-12−i3i3i3−i311-1-120000−3−33333−3−300-11−i3i3i3−i3001-1−i3i3i3−i300−2i2i2i−2i−333−3ii−i−i−i−iii0000000000000000
χ5922-2-22-2-12-22-2211-2-12-2-1-11100-100-121-2i3−i3−i3i311-11-2-2-12i3−i3−i3i311-1-12000033−3−3−3−33300-11i3−i3−i3i3001-1i3−i3−i3i300−2i2i2i−2i3−3−33ii−i−i−i−iii0000000000000000
χ6022-2-22-2-12-22-2211-2-12-2-1-11100-100-121-2i3−i3−i3i311-11-2-2-12i3−i3−i3i311-1-120000−3−33333−3−300-11i3−i3−i3i3001-1i3−i3−i3i3002i−2i−2i2i−333−3−i−iiiii−i−i0000000000000000
χ6122-2-2-222222-2-2-2-2-222-222-2-22-22-22-2-22222-2-2-2-2222-2-22-2-222-2-222-20000000000002-2-2222-2-2-222-2-2-2220000000000000000000000000000000000
χ6222-2-2-222222-2-2-2-2-222-222-2-2-2222-2-2-222-2-222-2-2222-2-2222-2-2-2-222-2000000000000-22-22-2-2222-22-222-2-20000000000000000000000000000000000
χ6322-2-2-2222-2-222-2-2-222-2-2-22200200-2-2220000-2-22-2-222-2000022-2-2222-2-22222-2-2-2-200-22000000-220000-220000-2-222000000000000000000000000
χ6422-2-2-2222-2-222-2-2-222-2-2-22200200-2-2220000-2-22-2-222-2000022-2-22-2-222-2-2-2-2222200-22000000-2200002-2000022-2-2000000000000000000000000
χ6522-2-2-222-122-2-2-2-212-1122-2-22-2-1-22-212-122-2-211-12-11-2-1-2-22211-1-11000000000000-111-1-1-1111-1-1111-1-100000000000000000000003−3−333−3−330000
χ6622-2-2-222-122-2-2-2-212-1122-2-22-2-1-22-212-122-2-211-12-11-2-1-2-22211-1-11000000000000-111-1-1-1111-1-1111-1-10000000000000000000000−333−3−333−30000
χ6722-2-2-222-122-2-2-2-212-1122-2-2-22-12-2-212-1-2-22211-12-11-2-122-2-211-1-110000000000001-11-111-1-1-11-11-1-11100000000000000000000003−3−33−333−30000
χ6822-2-2-222-122-2-2-2-212-1122-2-2-22-12-2-212-1-2-22211-12-11-2-122-2-211-1-110000000000001-11-111-1-1-11-11-1-1110000000000000000000000−333−33−3−330000
χ6922-2-2-22-1222-2-211-2-12-2-1-1112-2-1-221-2-12-1-11111-1-12-21211-1-111-1-1-2000033−3−3−3−3332-21-1-1-111-22-1111-1-1000000−333−33−33−3−33−330000000000000000
χ7022-2-2-22-1222-2-211-2-12-2-1-1112-2-1-221-2-12-1-11111-1-12-21211-1-111-1-1-20000−3−33333−3−32-21-1-1-111-22-1111-1-10000003−3−33−33−333−33−30000000000000000
χ7122-2-2-22-1222-2-211-2-12-2-1-111-22-12-21-2-1211-1-111-1-12-212-1-11111-1-1-2000033−3−3−3−333-221-111-1-12-2-11-1-111000000−333−3−33−333−33−30000000000000000
χ7222-2-2-22-1222-2-211-2-12-2-1-111-22-12-21-2-1211-1-111-1-12-212-1-11111-1-1-20000−3−33333−3−3-221-111-1-12-2-11-1-1110000003−3−333−33−3−33−330000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.