Finite Group Databasebeta

← Group #11793111

Character table — Group #11793111

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order12442223344466661212121212123666666661212121212121212126688121224242424242424242424242424242424444412121212121212124444881212121212121212242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
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
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-111
χ922222222-12222-1222222-1-1-12-1-1-1-1-12-122-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-10000
χ1022222222-12222-1222222-1-1-12-1-1-1-1-12-122-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-20000111111110000
χ1122222222-12222-1222222-1-1-12-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-21111111111110000000000000022-2-20000-1-1-1-111110000
χ1222222222-12222-1222222-1-1-12-1-1-1-1-12-122-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-2-211111111111100000000000000-2-22200001111-1-1-1-10000
χ132222222-12222-12-1-1-1-1-1-122-1-122-1-1-1-12-1-122-1-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000-1-1-1-1000000000000
χ142222222-12222-12-1-1-1-1-1-122-1-122-1-1-1-12-1-122-1-1-1-12-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-200001111000000000000
χ152222222-12222-12-1-1-1-1-1-122-1-122-1-1-1-12-1-122-1-1-1-12-1-1-2-2-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-200001111000000000000
χ162222222-12222-12-1-1-1-1-1-122-1-122-1-1-1-12-1-122-1-1-1-12-1-1-2-2-1-11111-2-2-2-211111111-2-2-2-211111111220000-1-1-1-1000000000000
χ1722222-2-222-2-2222-2-2-2-22222222-2-2-22-2-22-2-2-2-2-22222-2002-200000000000000000000000000002i−2i00002i2i−2i−2i000000000000
χ1822222-2-222-2-2222-2-2-2-22222222-2-2-22-2-22-2-2-2-2-22222-2002-20000000000000000000000000000−2i2i0000−2i−2i2i2i000000000000
χ1922222-2-2-12-2-22-121111-1-122-1-12-211-11-2-11-2-211-1-12-1100-11−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i300003333−3−3−3−32i−2i0000−i−iii000000000000
χ2022222-2-2-12-2-22-121111-1-122-1-12-211-11-2-11-2-211-1-12-1100-11−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i30000−3−3−3−33333−2i2i0000ii−i−i000000000000
χ2122222-2-2-12-2-22-121111-1-122-1-12-211-11-2-11-2-211-1-12-1100-11i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i300003333−3−3−3−3−2i2i0000ii−i−i000000000000
χ2222222-2-2-12-2-22-121111-1-122-1-12-211-11-2-11-2-211-1-12-1100-11i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000−3−3−3−333332i−2i0000−i−iii000000000000
χ232222-22-2222-2-222222222222-2-22222-2-2-2-22-22222-2-2-200-2-2000000000000000000000000000000002i−2i000000002i2i−2i−2i0000
χ242222-22-2222-2-222222222222-2-22222-2-2-2-22-22222-2-2-200-2-200000000000000000000000000000000−2i2i00000000−2i−2i2i2i0000
χ252222-22-22-12-2-22-1222222-1-1-1-21-1-1-1-1-21-2-2-11-1-1-1-111100110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000002i−2i000033−3−3−i−iii0000
χ262222-22-22-12-2-22-1222222-1-1-1-21-1-1-1-1-21-2-2-11-1-1-1-111100110000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000−2i2i0000−3−333ii−i−i0000
χ272222-22-22-12-2-22-1222222-1-1-1-21-1-1-1-1-21-2-2-11-1-1-1-111100110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000002i−2i0000−3−333−i−iii0000
χ282222-22-22-12-2-22-1222222-1-1-1-21-1-1-1-1-21-2-2-11-1-1-1-111100110000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000−2i2i000033−3−3ii−i−i0000
χ292222-2-2222-22-222-2-2-2-222222-2-2-2-2-2222-22-22-2-222-2-2200-220000000000000000000000000000000000000000000000002-2
χ302222-2-2222-22-222-2-2-2-222222-2-2-2-2-2222-22-22-2-222-2-2200-22000000000000000000000000000000000000000000000000-22
χ3122-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22200-2-20000000000000000000000000000002-20000002-22-200000000
χ3222-2-222222-2-2-22222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22200-2-2000000000000000000000000000000-22000000-22-2200000000
χ3322-2-22222-1-2-2-22-122-2-2-2-211-12-1-1-1-1-12-1-2-21111111-1-1001100003−33−33−33−33−33−3000000000000002-2000000-11-113−33−30000
χ3422-2-22222-1-2-2-22-122-2-2-2-211-12-1-1-1-1-12-1-2-21111111-1-1001100003−33−33−33−33−33−300000000000000-220000001-11-1−33−330000
χ3522-2-22222-1-2-2-22-122-2-2-2-211-12-1-1-1-1-12-1-2-21111111-1-100110000−33−33−33−33−33−33000000000000002-2000000-11-11−33−330000
χ3622-2-22222-1-2-2-22-122-2-2-2-211-12-1-1-1-1-12-1-2-21111111-1-100110000−33−33−33−33−33−3300000000000000-220000001-11-13−33−30000
χ3722-2-22-2-22222-222-2-222-2-2-2-2222-2-2-22-2-2-222222-2-2-22-200-2200000000000000000000000000000000000000000000002-200
χ3822-2-22-2-22222-222-2-222-2-2-2-2222-2-2-22-2-2-222222-2-2-22-200-220000000000000000000000000000000000000000000000-2200
χ3922-2-2-22-222-2222222-2-2-2-2-2-22-2-22222-2-222-22-2-2-2-22-2-22i−2i222i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000
χ4022-2-2-22-222-2222222-2-2-2-2-2-22-2-22222-2-222-22-2-2-2-22-2-2−2i2i22−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000
χ4122-2-2-22-22-1-2222-122-2-2-2-211-1-21-1-1-1-1-21221-11111-1112i−2i-1-12i−2i2i−2i−iii−i−iii−i−iii−i00000000000000000000003−3−33i3−i3−i3i30000
χ4222-2-2-22-22-1-2222-122-2-2-2-211-1-21-1-1-1-1-21221-11111-1112i−2i-1-12i−2i2i−2i−iii−i−iii−i−iii−i0000000000000000000000−333−3−i3i3i3−i30000
χ4322-2-2-22-22-1-2222-122-2-2-2-211-1-21-1-1-1-1-21221-11111-111−2i2i-1-1−2i2i−2i2ii−i−iii−i−iii−i−ii00000000000000000000003−3−33−i3i3i3−i30000
χ4422-2-2-22-22-1-2222-122-2-2-2-211-1-21-1-1-1-1-21221-11111-111−2i2i-1-1−2i2i−2i2ii−i−iii−i−iii−i−ii0000000000000000000000−333−3i3−i3−i3i30000
χ4522-2-2-22-2-12-222-12-1-11111-2-2-11-22-1-1-11-2-1-1-2211112112i−2i-1-1−ii−ii2i−2i−2i2i−iii−i−iii−i000033−3−333−3−3000000−i3i3−i3i3000000000000
χ4622-2-2-22-2-12-222-12-1-11111-2-2-11-22-1-1-11-2-1-1-2211112112i−2i-1-1−ii−ii2i−2i−2i2i−iii−i−iii−i0000−3−333−3−333000000i3−i3i3−i3000000000000
χ4722-2-2-22-2-12-222-12-1-11111-2-2-11-22-1-1-11-2-1-1-221111211−2i2i-1-1i−ii−i−2i2i2i−2ii−i−iii−i−ii000033−3−333−3−3000000i3−i3i3−i3000000000000
χ4822-2-2-22-2-12-222-12-1-11111-2-2-11-22-1-1-11-2-1-1-221111211−2i2i-1-1i−ii−i−2i2i2i−2ii−i−iii−i−ii0000−3−333−3−333000000−i3i3−i3i3000000000000
χ4922-2-2-2-22222-2222-2-222-2-2-2-22-2-2-2-2-22222-22-222-2-22-22002-2000000000000000022-2-222-2-2-2-2220000000000000000000000
χ5022-2-2-2-22222-2222-2-222-2-2-2-22-2-2-2-2-22222-22-222-2-22-22002-20000000000000000-2-222-2-22222-2-20000000000000000000000
χ5122-2-2-2-22-122-22-1211-1-111-2-2-11-2-211-1-12-112-2-1-11121-100-113−3−3300003−3−33−333−322-2-2-1-11111-1-1000000−333−3000000000000
χ5222-2-2-2-22-122-22-1211-1-111-2-2-11-2-211-1-12-112-2-1-11121-100-113−3−3300003−3−33−333−3-2-22211-1-1-1-1110000003−3−33000000000000
χ5322-2-2-2-22-122-22-1211-1-111-2-2-11-2-211-1-12-112-2-1-11121-100-11−333−30000−333−33−3−3322-2-2-1-11111-1-10000003−3−33000000000000
χ5422-2-2-2-22-122-22-1211-1-111-2-2-11-2-211-1-12-112-2-1-11121-100-11−333−30000−333−33−3−33-2-22211-1-1-1-111000000−333−3000000000000
χ554444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-21111-2114411-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ564444444-2-2444-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-21111-211-4-41122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ5744444-4-44-2-4-444-2-4-4-4-444-2-2-24-2222-2-424-42222-2-2-2-2200-2200000000000000000000000000000000000000000000000000
χ5844444-4-4-2-2-4-44-2-22222-2-2-2-21-2-22-1-1122-2222-1-111-21-1001-1−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ5944444-4-4-2-2-4-44-2-22222-2-2-2-21-2-22-1-1122-2222-1-111-21-1001-12i32i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ604444-44-4-244-4-4-24-2-2-2-2-2-244-22-44-2-2-22-4224-4-2-2-2-2-422002200000000000000000000000000000000000000000000000000
χ614444-44-4-2-24-4-4-2-2-2-2-2-2-2-2-2-2122-21112222-2211112-1-100-1-10000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ624444-44-4-2-24-4-4-2-2-2-2-2-2-2-2-2-2122-21112222-2211112-1-100-1-100002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ634444-4-444-2-44-44-2-4-4-4-444-2-2-2-42222-24-2-442-222-2-222-2002-200000000000000000000000000000000000000000000000000
χ644444-4-44-24-44-4-242222-2-244-22-4-422-2-242-2-4422-2-2-42-2002-200000000000000000000000000000000000000000000000000
χ654444-4-44-2-2-44-4-2-22222-2-2-2-21222-1-11-2-22-22-2-1-1112-1100-110000000033-3-3-3-3330000000000000000000000000000000000
χ664444-4-44-2-2-44-4-2-22222-2-2-2-21222-1-11-2-22-22-2-1-1112-1100-1100000000-3-33333-3-30000000000000000000000000000000000
χ6744-4-4444-24-4-4-4-24-2-22222-4-4-2-244-2-2-2-2422-4-42222-4-2-2002200000000000000000000000000000000000000000000000000
χ6844-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2111-2-22222-1-1-1-121100-1-1000023−2323−23−33−33−33−330000000000000000000000000000000000
χ6944-4-4444-2-2-4-4-4-2-2-2-22222221-2-2-2111-2-22222-1-1-1-121100-1-10000−2323−23233−33−33−33−30000000000000000000000000000000000
χ7044-4-44-4-44-244-44-2-4-444-4-422-24-2222-2-42-44-2-2-2-2222-22002-200000000000000000000000000000000000000000000000000
χ7144-4-44-4-4-2444-4-2422-2-222-4-4-2-24-422-22-42-244-2-222-4-22002-200000000000000000000000000000000000000000000000000
χ7244-4-44-4-4-2-244-4-2-222-2-222221-2-22-1-11222-2-2-211-1-121-100-11000000003i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000
χ7344-4-44-4-4-2-244-4-2-222-2-222221-2-22-1-11222-2-2-211-1-121-100-1100000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000
χ7444-4-4-44-4-2-2-444-2-2-2-2222222122-211122-2-22-2-1-1-1-1-2-1-14i−4i11−2i2i−2i2i−2i2i2i−2ii−i−iii−i−ii0000000000000000000000000000000000
χ7544-4-4-44-4-2-2-444-2-2-2-2222222122-211122-2-22-2-1-1-1-1-2-1-1−4i4i112i−2i2i−2i2i−2i−2i2i−iii−i−iii−i0000000000000000000000000000000000
χ7644-4-4-4-444-24-444-2-4-444-4-422-2-42222-24-24-4-22-2-222-22-200-2200000000000000000000000000000000000000000000000000
χ7744-4-4-4-44-2-24-44-2-222-2-222221222-1-11-2-2-22-2211-1-1-2-11001-123−23−23230000−333−33−3−330000000000000000000000000000000000
χ7844-4-4-4-44-2-24-44-2-222-2-222221222-1-11-2-2-22-2211-1-1-2-11001-1−232323−2300003−3−33−333−30000000000000000000000000000000000
χ794-44i−4i00044000-4-400004i−4i4i−4i400000-4000000004i−4i000000000000000000000002-22i−2i2-22i−2i2i−2i2-20000000000000000000000
χ804-44i−4i00044000-4-400004i−4i4i−4i400000-4000000004i−4i00000000000000000000000-22−2i2i-22−2i2i−2i2i-220000000000000000000000
χ814-44i−4i000-240002-4−2i32i323−23−2i2i4i−4i-2000−2i32i3200000023−23−2i2i000000000000000000000002-22i−2i−1+31−3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−1−31+30000000000000000000000
χ824-44i−4i000-240002-4−2i32i323−23−2i2i4i−4i-2000−2i32i3200000023−23−2i2i00000000000000000000000-22−2i2i1−3−1+3−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ111+3−1−30000000000000000000000
χ834-44i−4i000-240002-42i3−2i3−2323−2i2i4i−4i-20002i3−2i32000000−2323−2i2i000000000000000000000002-22i−2i−1−31+3−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−1+31−30000000000000000000000
χ844-44i−4i000-240002-42i3−2i3−2323−2i2i4i−4i-20002i3−2i32000000−2323−2i2i00000000000000000000000-22−2i2i1+3−1−3ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ111−3−1+30000000000000000000000
χ854-4−4i4i00044000-4-40000−4i4i−4i4i400000-400000000−4i4i000000000000000000000002-2−2i2i2-2−2i2i−2i2i2-20000000000000000000000
χ864-4−4i4i00044000-4-40000−4i4i−4i4i400000-400000000−4i4i00000000000000000000000-222i−2i-222i−2i2i−2i-220000000000000000000000
χ874-4−4i4i000-240002-4−2i32i3−23232i−2i−4i4i-2000−2i32i32000000−23232i−2i000000000000000000000002-2−2i2i−1−31+3ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−1+31−30000000000000000000000
χ884-4−4i4i000-240002-4−2i32i3−23232i−2i−4i4i-2000−2i32i32000000−23232i−2i00000000000000000000000-222i−2i1+3−1−3−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ111−3−1+30000000000000000000000
χ894-4−4i4i000-240002-42i3−2i323−232i−2i−4i4i-20002i3−2i3200000023−232i−2i000000000000000000000002-2−2i2i−1+31−3−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−1−31+30000000000000000000000
χ904-4−4i4i000-240002-42i3−2i323−232i−2i−4i4i-20002i3−2i3200000023−232i−2i00000000000000000000000-222i−2i1−3−1+3ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ111+3−1−30000000000000000000000
χ918-88i−8i0008-4000-8400008i−8i−4i4i-400000400000000−4i4i000000000000000000000000000000000000000000000000000000000
χ928-88i−8i000-4-400044−4i34i343−43−4i4i−4i4i20002i3−2i3-2000000−23232i−2i000000000000000000000000000000000000000000000000000000000
χ938-88i−8i000-4-4000444i3−4i3−4343−4i4i−4i4i2000−2i32i3-200000023−232i−2i000000000000000000000000000000000000000000000000000000000
χ948-8−8i8i0008-4000-840000−8i8i4i−4i-4000004000000004i−4i000000000000000000000000000000000000000000000000000000000
χ958-8−8i8i000-4-400044−4i34i3−43434i−4i4i−4i20002i3−2i3-200000023−23−2i2i000000000000000000000000000000000000000000000000000000000
χ968-8−8i8i000-4-4000444i3−4i343−434i−4i4i−4i2000−2i32i3-2000000−2323−2i2i000000000000000000000000000000000000000000000000000000000

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