Finite Group Databasebeta

← Group #11794281

Character table — Group #11794281

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order1222223344446666661212121236666666121212121212121212124466121212121212121212121212121212121212444412121212121212124444881212121212121212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1
χ922222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2002200000000-2-2000000000000000000002-200000022-2-20000000000
χ1022222222-2-2-2-2222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2002200000000-2-200000000000000000000-22000000-2-2220000000000
χ112222222-12222222-1-1-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000222200-1-1-1-1-1-1-1-100000000
χ122222222-12222222-1-1-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2001111111100000000
χ132222222-12222222-1-1-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111-1-11111111100000000000022-2-20011-1-1-1-11100000000
χ142222222-12222222-1-1-12222-12-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111-1-111111111000000000000-2-22200-1-11111-1-100000000
χ152222222-1-2-2-2-2222-1-1-1-2-2-2-2-12-1-1-1-1-12-2-21111111100-1-10000−i3i3−i3i311−i3−i3−i3−i3i3i3i3i30000000000002-20000−i3i3-1-111−i3i300000000
χ162222222-1-2-2-2-2222-1-1-1-2-2-2-2-12-1-1-1-1-12-2-21111111100-1-10000−i3i3−i3i311−i3−i3−i3−i3i3i3i3i3000000000000-220000i3−i311-1-1i3−i300000000
χ172222222-1-2-2-2-2222-1-1-1-2-2-2-2-12-1-1-1-1-12-2-21111111100-1-10000i3−i3i3−i311i3i3i3i3−i3−i3−i3−i30000000000002-20000i3−i3-1-111i3−i300000000
χ182222222-1-2-2-2-2222-1-1-1-2-2-2-2-12-1-1-1-1-12-2-21111111100-1-10000i3−i3i3−i311i3i3i3i3−i3−i3−i3−i3000000000000-220000−i3i311-1-1−i3i300000000
χ19222222-122222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100002200000000-1-1-1-10000
χ20222222-122222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000-2-20000000011110000
χ21222222-122222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-2-2-1-11111-2-2-2-2-1-1111111112222-1-1-1-1-1-1-1-10000-2-20000000011110000
χ22222222-122222-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-2-2-1-11111-2-2-2-2-1-111111111-2-2-2-21111111100002200000000-1-1-1-10000
χ232222-2-2222-22-222222222222-2-2-2222-2-2-222-2-2222200-2-200000000-2-200000000000000000000002-200-2-200002200000000
χ242222-2-2222-22-222222222222-2-2-2222-2-2-222-2-2222200-2-200000000-2-20000000000000000000000-2200220000-2-200000000
χ252222-2-222-22-22222222-2-2-2-22-2-2-2222-222-2-222-2-2-2-22-2-2-222-2-2-2-2222222-2-222-2-20000000000000000000000000000000000
χ262222-2-222-22-22222222-2-2-2-22-2-2-2222-222-2-222-2-2-2-2-22-2-2-2-22222-2-222-2-222-2-2220000000000000000000000000000000000
χ272222-2-22-12-22-2222-1-1-12222-1-211-1-1-1-2-2-2-1-111-1-1-1-100110000−i3i3i3−i311i3i3−i3−i3−i3−i3i3i3000000000000002-20011−i3i3−i3i3-1-100000000
χ282222-2-22-12-22-2222-1-1-12222-1-211-1-1-1-2-2-2-1-111-1-1-1-100110000−i3i3i3−i311i3i3−i3−i3−i3−i3i3i300000000000000-2200-1-1i3−i3i3−i31100000000
χ292222-2-22-12-22-2222-1-1-12222-1-211-1-1-1-2-2-2-1-111-1-1-1-100110000i3−i3−i3i311−i3−i3i3i3i3i3−i3−i3000000000000002-20011i3−i3i3−i3-1-100000000
χ302222-2-22-12-22-2222-1-1-12222-1-211-1-1-1-2-2-2-1-111-1-1-1-100110000i3−i3−i3i311−i3−i3i3i3i3i3−i3−i300000000000000-2200-1-1−i3i3−i3i31100000000
χ312222-2-22-1-22-22222-1-1-1-2-2-2-2-1-211-1-1-1-22211-1-111112-21122-2-211-1-1-1-1-1-111-1-111000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ322222-2-22-1-22-22222-1-1-1-2-2-2-2-1-211-1-1-1-22211-1-111112-21122-2-211-1-1-1-1-1-111-1-111000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ332222-2-22-1-22-22222-1-1-1-2-2-2-2-1-211-1-1-1-22211-1-11111-2211-2-222-1-111-1-111-1-111-1-1000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ342222-2-22-1-22-22222-1-1-1-2-2-2-2-1-211-1-1-1-22211-1-11111-2211-2-222-1-111-1-111-1-111-1-1000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ352222-2-2-12-22-22-1-1-12221111-11-2-2-1-1-11-1-1-2-22211112-211-1-111-2-222-1-1-1-111-1-11100003333−3−3−3−30000000000000033−3−30000
χ362222-2-2-12-22-22-1-1-12221111-11-2-2-1-1-11-1-1-2-22211112-211-1-111-2-222-1-1-1-111-1-1110000−3−3−3−3333300000000000000−3−3330000
χ372222-2-2-12-22-22-1-1-12221111-11-2-2-1-1-11-1-1-2-2221111-221111-1-122-2-2-1-111-1-111-1-100003333−3−3−3−300000000000000−3−3330000
χ382222-2-2-12-22-22-1-1-12221111-11-2-2-1-1-11-1-1-2-2221111-221111-1-122-2-2-1-111-1-111-1-10000−3−3−3−333330000000000000033−3−30000
χ3922-2-22-2222-2-222-2-22-2-222-2-2222-22-2-2-22-22-22-222-2-2002-2000000002-200000000000000000000000000000000000000002-2
χ4022-2-22-2222-2-222-2-22-2-222-2-2222-22-2-2-22-22-22-222-2-2002-2000000002-20000000000000000000000000000000000000000-22
χ4122-2-22-222-222-22-2-22-2-2-2-222222-22-2-2-2-22-22-22-2-222002-200000000-220000000000000000000000002-2000000002-22-20000
χ4222-2-22-222-222-22-2-22-2-2-2-222222-22-2-2-2-22-22-22-2-222002-200000000-22000000000000000000000000-2200000000-22-220000
χ4322-2-22-2-12-222-2-1112-2-211-1-1-1-12-2-11111-1-22-2211-1-100-113−33−300001-13−33−33−33−3000033−3−333−3−300002-200000000-11-110000
χ4422-2-22-2-12-222-2-1112-2-211-1-1-1-12-2-11111-1-22-2211-1-100-113−33−300001-13−33−33−33−30000−3−333−3−3330000-22000000001-11-10000
χ4522-2-22-2-12-222-2-1112-2-211-1-1-1-12-2-11111-1-22-2211-1-100-11−33−3300001-1−33−33−33−33000033−3−333−3−30000-22000000001-11-10000
χ4622-2-22-2-12-222-2-1112-2-211-1-1-1-12-2-11111-1-22-2211-1-100-11−33−3300001-1−33−33−33−330000−3−333−3−33300002-200000000-11-110000
χ4722-2-2-222222-2-22-2-22-2-222-2-22-2-222-2-22-222-2-2222-2-200-2200000000-220000000022-2-222-2-2-2-2220000000000000000000000
χ4822-2-2-222222-2-22-2-22-2-222-2-22-2-222-2-22-222-2-2222-2-200-2200000000-2200000000-2-222-2-22222-2-20000000000000000000000
χ4922-2-2-2222-2-2222-2-22-2-2-2-2222-2-222-2-222-2-222-2-2-22200-22000000002-2000000000000000000000000000000000000002i−2i00
χ5022-2-2-2222-2-2222-2-22-2-2-2-2222-2-222-2-222-2-222-2-2-22200-22000000002-200000000000000000000000000000000000000−2i2i00
χ5122-2-2-22-1222-2-2-1112-2-2-1-111-11-22-111-11-12-2-22-1-111001-13−3−3300001-13−3−333−3−3322-2-2-1-11111-1-100000000000000−333−30000
χ5222-2-2-22-1222-2-2-1112-2-2-1-111-11-22-111-11-12-2-22-1-111001-13−3−3300001-13−3−333−3−33-2-22211-1-1-1-111000000000000003−3−330000
χ5322-2-2-22-1222-2-2-1112-2-2-1-111-11-22-111-11-12-2-22-1-111001-1−333−300001-1−333−3−333−322-2-2-1-11111-1-1000000000000003−3−330000
χ5422-2-2-22-1222-2-2-1112-2-2-1-111-11-22-111-11-12-2-22-1-111001-1−333−300001-1−333−3−333−3-2-22211-1-1-1-11100000000000000−333−30000
χ55444444-24-4-4-4-4-2-2-24442222-2-244-2-2-2-222-4-4-4-4222200-2-20000000022000000000000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-2-211114411-2-2-2-2-2-2-2-211111111110000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-2-21111-4-4112222222211-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2111-2222222-1-1-1-100110000−2i32i3−2i32i3-1-1i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-222221-2-2-2111-2222222-1-1-1-1001100002i3−2i32i3−2i3-1-1−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ604444-4-4-244-44-4-2-2-2444-2-2-2-2-22-4-4-2-2-222244-4-4-2-2-2-200220000000022000000000000000000000000000000000000000000
χ614444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222111222-2-222111100-1-10000−2i32i32i3−2i3-1-1−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ624444-4-4-2-24-44-4-2-2-2-2-2-2-2-2-2-21222111222-2-222111100-1-100002i3−2i3−2i32i3-1-1i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
χ634444-4-4-2-2-44-44-2-2-2-2-2-2222212221112-2-222-2-2-1-1-1-14-4-1-1-2-22222-2-21111-1-111-1-10000000000000000000000000000000000
χ644444-4-4-2-2-44-44-2-2-2-2-2-2222212221112-2-222-2-2-1-1-1-1-44-1-122-2-2-2-22211-1-111-1-1110000000000000000000000000000000000
χ6544-4-44-44-24-4-444-4-4-22244-4-4-24-22-222-44-4-22-22-2-22200-2200000000-22000000000000000000000000000000000000000000
χ6644-4-44-44-2-444-44-4-4-222-4-444-24-22-222-4-442-22-222-2-200-22000000002-2000000000000000000000000000000000000000000
χ6744-4-44-4-244-4-44-2224-4-4-2-222-2-24-4-2222-224-44-4-2-22200-2200000000-22000000000000000000000000000000000000000000
χ6844-4-44-4-2-24-4-44-222-222-2-2221-2-221-1-12-22-22-2211-1-1001-1000000001-13i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000
χ6944-4-44-4-2-24-4-44-222-222-2-2221-2-221-1-12-22-22-2211-1-1001-1000000001-1−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000
χ7044-4-44-4-2-2-444-4-222-22222-2-21-2-221-1-122-22-22-2-1-111001-123−2323−230000-11−33−33−33−330000000000000000000000000000000000
χ7144-4-44-4-2-2-444-4-222-22222-2-21-2-221-1-122-22-22-2-1-111001-1−2323−23230000-113−33−33−33−30000000000000000000000000000000000
χ7244-4-4-444-244-4-44-4-4-22244-4-4-2-42-2-2224-44-222-2-2-222002-2000000002-2000000000000000000000000000000000000000000
χ7344-4-4-444-2-4-4444-4-4-222-4-444-2-42-2-22244-42-2-2222-2-2002-200000000-22000000000000000000000000000000000000000000
χ7444-4-4-44-24-4-444-2224-4-422-2-2-22-44-222-2-22-444-422-2-2002-200000000-22000000000000000000000000000000000000000000
χ7544-4-4-44-2-244-4-4-222-222-2-222122-21-1-1-22-2-222-211-1-100-1123−23−23230000-11−333−3−333−30000000000000000000000000000000000
χ7644-4-4-44-2-244-4-4-222-222-2-222122-21-1-1-22-2-222-211-1-100-11−232323−230000-113−3−333−3−330000000000000000000000000000000000
χ7744-4-4-44-2-2-4-444-222-22222-2-2122-21-1-1-2-222-2-22-1-11100-11000000001-13i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000
χ7844-4-4-44-2-2-4-444-222-22222-2-2122-21-1-1-2-222-2-22-1-11100-11000000001-1−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000
χ794-44-400440000-44-4-4-4400004000-44-40000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ804-44-400440000-44-4-4-4400004000-44-4000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ814-44-400-2400002-22-4-4423−2323−23-20002-22000000023−2323−2300000000000000000000002i−2i2i−2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ110000000000000000000000
χ824-44-400-2400002-22-4-4423−2323−23-20002-22000000023−2323−230000000000000000000000−2i2i−2i2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ110000000000000000000000
χ834-44-400-2400002-22-4-44−2323−2323-20002-220000000−2323−232300000000000000000000002i−2i2i−2iζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ110000000000000000000000
χ844-44-400-2400002-22-4-44−2323−2323-20002-220000000−2323−23230000000000000000000000−2i2i−2i2i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ110000000000000000000000
χ854-4-4400440000-4-44-44-400004000-4-440000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ864-4-4400440000-4-44-44-400004000-4-44000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ874-4-4400-24000022-2-44-423−23−2323-200022-2000000023−23−232300000000000000000000002i−2i−2i2i−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ110000000000000000000000
χ884-4-4400-24000022-2-44-423−23−2323-200022-2000000023−23−23230000000000000000000000−2i2i2i−2iζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ110000000000000000000000
χ894-4-4400-24000022-2-44-4−232323−23-200022-20000000−232323−2300000000000000000000002i−2i−2i2iζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ110000000000000000000000
χ904-4-4400-24000022-2-44-4−232323−23-200022-20000000−232323−230000000000000000000000−2i2i2i−2i−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ110000000000000000000000
χ918-88-8008-40000-88-844-40000-40004-440000000000000000000000000000000000000000000000000000000000000000000
χ928-88-800-4-400004-4444-443−4343−432000-22-20000000−2323−232300000000000000000000000000000000000000000000000000000000
χ938-88-800-4-400004-4444-4−4343−43432000-22-2000000023−2323−2300000000000000000000000000000000000000000000000000000000
χ948-8-88008-40000-8-884-440000-400044-40000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-4000044-44-4443−43−43432000-2-220000000−232323−2300000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-4000044-44-44−434343−432000-2-22000000023−23−232300000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.