Finite Group Databasebeta

← Group #11794972

Character table — Group #11794972

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222222222444444444444444444448888888888888888888888242424242424242424242424242424242424242424242424363636367272
order124422233444661212121236666666661212121212121212121244661212121212121212121212121212121212124488888812121212242424242424242424242424888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ611111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1
χ711111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ811111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ922222222-12222-122-1-1-12-1-12-1-1-1-1222-1-1-1-1-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002200220000-1-1-1-10000-1-1-1-1000000
χ1022222222-12222-122-1-1-12-1-12-1-1-1-1222-1-1-1-1-1-12-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-20000111100001111000000
χ1122222222-12222-122-1-1-12-1-12-1-1-1-1222-1-1-1-1-1-12-1-2-2-1-1-1-1-2-2-2-2111111111111002200-2-20000-1-1-1-100001111000000
χ1222222222-12222-122-1-1-12-1-12-1-1-1-1222-1-1-1-1-1-12-1-2-2-1-1-1-1-2-2-2-211111111111100-2-20022000011110000-1-1-1-1000000
χ132222222-12222-12-1-122-1-122-12-1-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122002200-1-1-1-10000-1-1-1-10000000000
χ142222222-12222-12-1-122-1-122-12-1-1-1-1-1-122-1-1-1-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-2001111000011110000000000
χ152222222-12222-12-1-122-1-122-12-1-1-1-1-1-122-1-1-1-1-12-2-2-1-1-1-11111-2-2-2-2111111112200-2-200-1-1-1-1000011110000000000
χ162222222-12222-12-1-122-1-122-12-1-1-1-1-1-122-1-1-1-1-12-2-2-1-1-1-11111-2-2-2-211111111-2-200220011110000-1-1-1-10000000000
χ1722222-2-222-22-2222222222-2-2-22-2-2-2-2-22-222-2-22-22i−2i2-22-22i2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000
χ1822222-2-222-22-2222222222-2-2-22-2-2-2-2-22-222-2-22-2−2i2i2-22-2−2i−2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000
χ1922222-2-22-1-22-22-122-1-1-12-11-21-111-2-2-2-11-1-111212i−2i-11-112i2i−2i−2i−i−iii−i−i−i−iiiii000000000000−i3−i3i3i3000033−3−3000000
χ2022222-2-22-1-22-22-122-1-1-12-11-21-111-2-2-2-11-1-111212i−2i-11-112i2i−2i−2i−i−iii−i−i−i−iiiii000000000000i3i3−i3−i30000−3−333000000
χ2122222-2-22-1-22-22-122-1-1-12-11-21-111-2-2-2-11-1-11121−2i2i-11-11−2i−2i2i2iii−i−iiiii−i−i−i−i000000000000−i3−i3i3i30000−3−333000000
χ2222222-2-22-1-22-22-122-1-1-12-11-21-111-2-2-2-11-1-11121−2i2i-11-11−2i−2i2i2iii−i−iiiii−i−i−i−i000000000000i3i3−i3−i3000033−3−3000000
χ2322222-2-2-12-22-2-12-1-122-1-12-21-2-1111112-2-1-111-1-22i−2i-11-11−i−iii2i2i−2i−2i−i−i−i−iiiii0000000033−3−30000−i3−i3i3i30000000000
χ2422222-2-2-12-22-2-12-1-122-1-12-21-2-1111112-2-1-111-1-22i−2i-11-11−i−iii2i2i−2i−2i−i−i−i−iiiii00000000−3−3330000i3i3−i3−i30000000000
χ2522222-2-2-12-22-2-12-1-122-1-12-21-2-1111112-2-1-111-1-2−2i2i-11-11ii−i−i−2i−2i2i2iiiii−i−i−i−i0000000033−3−30000i3i3−i3−i30000000000
χ2622222-2-2-12-22-2-12-1-122-1-12-21-2-1111112-2-1-111-1-2−2i2i-11-11ii−i−i−2i−2i2i2iiiii−i−i−i−i00000000−3−3330000−i3−i3i3i30000000000
χ272222-22-2222-2-22222222-2-2-222222-22-2-222222-2-200-2-2-2-2000000000000000000002i−2i00000000002i−2i2i−2i0000000000
χ282222-22-2222-2-22222222-2-2-222222-22-2-222222-2-200-2-2-2-200000000000000000000−2i2i0000000000−2i2i−2i2i0000000000
χ292222-22-2-122-2-2-12-1-122-11-2-2-12-1-1-11-11-22-1-1-1-11-2001111−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i300002i−2i003−33−30000−ii−ii0000000000
χ302222-22-2-122-2-2-12-1-122-11-2-2-12-1-1-11-11-22-1-1-1-11-2001111−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i30000−2i2i00−33−330000i−ii−i0000000000
χ312222-22-2-122-2-2-12-1-122-11-2-2-12-1-1-11-11-22-1-1-1-11-2001111i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i300002i−2i00−33−330000−ii−ii0000000000
χ322222-22-2-122-2-2-12-1-122-11-2-2-12-1-1-11-11-22-1-1-1-11-2001111i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i30000−2i2i003−33−30000i−ii−i0000000000
χ332222-2-2222-2-222222222-2-22-2-22-2-22-22-2-222-2-2-2200-22-2200000000000000002-20000002-2-22000000000000000000
χ342222-2-2222-2-222222222-2-22-2-22-2-22-22-2-222-2-2-2200-22-220000000000000000-22000000-222-2000000000000000000
χ352222-2-22-12-2-22-12-1-122-11-221-2-111-11-1-2-2-1-11112001-11-13−3−33000033−3−3−3−3332-2000000-111-10000−333−30000000000
χ362222-2-22-12-2-22-12-1-122-11-221-2-111-11-1-2-2-1-11112001-11-13−3−33000033−3−3−3−333-220000001-1-1100003−3−330000000000
χ372222-2-22-12-2-22-12-1-122-11-221-2-111-11-1-2-2-1-11112001-11-1−333−30000−3−33333−3−32-2000000-111-100003−3−330000000000
χ382222-2-22-12-2-22-12-1-122-11-221-2-111-11-1-2-2-1-11112001-11-1−333−30000−3−33333−3−3-220000001-1-110000−333−30000000000
χ3922-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20022-2-200000000000000000000002i−2i0000000000002i−2i2i−2i000000
χ4022-2-222222-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20022-2-20000000000000000000000−2i2i000000000000−2i2i−2i2i000000
χ4122-2-22222-1-2-2-22-1-2-211-12-1-12-1-1-1-12-2-2111111-2100-1-1110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000002i−2i00003−33−30000−ii−ii000000
χ4222-2-22222-1-2-2-22-1-2-211-12-1-12-1-1-1-12-2-2111111-2100-1-1110000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000−2i2i0000−33−330000i−ii−i000000
χ4322-2-22222-1-2-2-22-1-2-211-12-1-12-1-1-1-12-2-2111111-2100-1-1110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000002i−2i0000−33−330000−ii−ii000000
χ4422-2-22222-1-2-2-22-1-2-211-12-1-12-1-1-1-12-2-2111111-2100-1-1110000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000−2i2i00003−33−30000i−ii−i000000
χ4522-2-22-2-2222-2222-2-2-2-2222-2-2-22-2-2-222-22-2-222-22002-2-220000000000000000002i−2i000000002i−2i−2i2i00000000000000
χ4622-2-22-2-2222-2222-2-2-2-2222-2-2-22-2-2-222-22-2-222-22002-2-22000000000000000000−2i2i00000000−2i2i2i−2i00000000000000
χ4722-2-22-2-22-12-222-1-2-211-12-11-21-111-2221-111-1-1-2-100-111-100003−3−333−33−3−33−33002i−2i00000000−iii−i0000i3−i3−i3i3000000
χ4822-2-22-2-22-12-222-1-2-211-12-11-21-111-2221-111-1-1-2-100-111-100003−3−333−33−3−33−3300−2i2i00000000i−i−ii0000−i3i3i3−i3000000
χ4922-2-22-2-22-12-222-1-2-211-12-11-21-111-2221-111-1-1-2-100-111-10000−333−3−33−333−33−3002i−2i00000000−iii−i0000−i3i3i3−i3000000
χ5022-2-22-2-22-12-222-1-2-211-12-11-21-111-2221-111-1-1-2-100-111-10000−333−3−33−333−33−300−2i2i00000000i−i−ii0000i3−i3−i3i3000000
χ5122-2-2-22-222-22222-2-2-2-22-2-2-222222-2-222-2-2-2-2-22200-2-222000000000000000000000000000000000000000000002-2
χ5222-2-2-22-222-22222-2-2-2-22-2-2-222222-2-222-2-2-2-2-22200-2-22200000000000000000000000000000000000000000000-22
χ5322-2-2-2-222222-222-2-2-2-22-2-22-2-22-2-222-222-2-2222-200-222-200000000000000000000000000000000000000002i2i−2i−2i00
χ5422-2-2-2-222222-222-2-2-2-22-2-22-2-22-2-222-222-2-2222-200-222-20000000000000000000000000000000000000000−2i−2i2i2i00
χ554444444-2-2444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-21111-2-2441111-2-2-2-2-2-2-2-211111111000000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-21111-2-2-4-4111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000
χ5744444-4-4-2-2-44-4-2-2-2-2-2-21-2-22221-1-1222-2211-1-1-224i−4i1-11-1−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−i000000000000000000000000000000
χ5844444-4-4-2-2-44-4-2-2-2-2-2-21-2-22221-1-1222-2211-1-1-22−4i4i1-11-12i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii000000000000000000000000000000
χ594444-44-44-24-4-44-244-2-2-2-4224-2-2-2-2-44-42-2-2-2-2-2-420022220000000000000000000000000000000000000000000000
χ604444-44-4-2-24-4-4-2-2-2-2-2-21222-2-21112-222-211112200-1-1-1-1−2i32i3−2i32i30000i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000
χ614444-44-4-2-24-4-4-2-2-2-2-2-21222-2-21112-222-211112200-1-1-1-12i3−2i32i3−2i30000−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000
χ624444-4-444-2-4-444-244-2-2-2-42-2-42-2224-4422-2-222-4-2002-22-20000000000000000000000000000000000000000000000
χ634444-4-44-2-2-4-44-2-2-2-2-2-2122-2221-1-1-22-22211-1-12-200-11-1123−23−23230000−3−33333−3−3000000000000000000000000000000
χ644444-4-44-2-2-4-44-2-2-2-2-2-2122-2221-1-1-22-22211-1-12-200-11-11−232323−23000033−3−3−3−333000000000000000000000000000000
χ6544-4-4444-24-4-4-4-2422-4-4-2-244-24-2-2-2-222-4-422222-400-2-2220000000000000000000000000000000000000000000000
χ6644-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2111-22222-1-1-1-1220011-1-10000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000
χ6744-4-4444-2-2-4-4-4-2-222221-2-2-2-2-2111-22222-1-1-1-1220011-1-100002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000
χ6844-4-44-4-4-244-44-2422-4-4-2-24-42-4-2222-2-2-4422-2-22400-222-20000000000000000000000000000000000000000000000
χ6944-4-44-4-4-2-24-44-2-222221-2-22221-1-12-2-22-2-1-1112-2001-1-11000023−23−2323−33−333−33−3000000000000000000000000000000
χ7044-4-44-4-4-2-24-44-2-222221-2-22221-1-12-2-22-2-1-1112-2001-1-110000−232323−233−33−3−33−33000000000000000000000000000000
χ7144-4-4-44-44-2-4444-2-4-422-2-4224-2-2-2-2-4-44-2222224-20022-2-20000000000000000000000000000000000000000000000
χ7244-4-4-44-4-24-444-2422-4-4-22-4-4-24-2-2-222-24-42222-240022-2-20000000000000000000000000000000000000000000000
χ7344-4-4-44-4-2-2-444-2-222221222-2-211122-2-22-1-1-1-1-2-200-1-111000000003-3-333-3-33000000000000000000000000000000
χ7444-4-4-44-4-2-2-444-2-222221222-2-211122-2-22-1-1-1-1-2-200-1-11100000000-333-3-333-3000000000000000000000000000000
χ7544-4-4-4-444-244-44-2-4-422-2-42-2-42-22244-4-2-222-2-242002-2-220000000000000000000000000000000000000000000000
χ7644-4-4-4-44-2444-4-2422-4-4-22-442-4-222-2-224422-2-2-2-4002-2-220000000000000000000000000000000000000000000000
χ7744-4-4-4-44-2-244-4-2-22222122-2221-1-1-2-22-2-2-1-111-2200-111-1000000003i−3i−3i3i−3i3i3i−3i000000000000000000000000000000
χ7844-4-4-4-44-2-244-4-2-22222122-2221-1-1-2-22-2-2-1-111-2200-111-100000000−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000
χ794-44i−4i00044000-4-44i−4i4i−4i400000-400000004i−4i000000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300
χ804-44i−4i00044000-4-44i−4i4i−4i400000-400000004i−4i00000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300
χ814-4−4i4i00044000-4-4−4i4i−4i4i400000-40000000−4i4i00000000000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300
χ824-4−4i4i00044000-4-4−4i4i−4i4i400000-40000000−4i4i000000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300
χ838-88i−8i0008-4000-848i−8i−4i4i-40000040000000−4i4i00000000000000000000000000000000000000000000000000000000
χ848-88i−8i000-480004-8−4i4i8i−8i-40000040000000−4i4i00000000000000000000000000000000000000000000000000000000
χ858-88i−8i000-4-400044−4i4i−4i4i200000-26-6000002i−2i6i−6i000000000000000000000000000000000000000000000000000000
χ868-88i−8i000-4-400044−4i4i−4i4i200000-2-66000002i−2i−6i6i000000000000000000000000000000000000000000000000000000
χ878-8−8i8i0008-4000-84−8i8i4i−4i-400000400000004i−4i00000000000000000000000000000000000000000000000000000000
χ888-8−8i8i000-480004-84i−4i−8i8i-400000400000004i−4i00000000000000000000000000000000000000000000000000000000
χ898-8−8i8i000-4-4000444i−4i4i−4i200000-26-600000−2i2i−6i6i000000000000000000000000000000000000000000000000000000
χ908-8−8i8i000-4-4000444i−4i4i−4i200000-2-6600000−2i2i6i−6i000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.