Finite Group Databasebeta

← Group #11784451

Character table — Group #11784451

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111111122224444444444444444888888889999999912121212121212121212121212121212181818181818181818181818181818181818181824242424242424242424242424242424
order122222224444336666666666666612121212121212124444444444444444444444444444888888888888888812121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ511111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ711111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ911-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-1-1111111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii-1-111-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii
χ1111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−i-1-111-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i
χ1211-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-1111111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii
χ1311-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii-1-1111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii
χ1411-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i-1-111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1511-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iiiii−i−iii−i−i−i−iii-1-111-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ1611-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i-1-1111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i
χ171-111-1-11-1i−ii−i1111-1-111-1-1-1-111-1-1ii−i−iii−i−iii−i−iii−i−i1-11-1i−ii−i1-11-1i−ii−i1-11-111-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i1-11-1i−ii−i
χ181-111-1-11-1i−ii−i1111-1-111-1-1-1-111-1-1ii−i−iii−i−iii−i−iii−i−i1-11-1i−ii−i-11-11−ii−ii1-11-1-1-111-1-111−i−iii−i−iii1-11-1i−ii−i-11-11−ii−ii
χ191-111-1-11-1i−ii−i1111-1-111-1-1-1-111-1-1ii−i−iii−i−iii−i−iii−i−i-11-11−ii−ii1-11-1i−ii−i1-11-1-1-111-1-111−i−iii−i−iii-11-11−ii−ii1-11-1i−ii−i
χ201-111-1-11-1i−ii−i1111-1-111-1-1-1-111-1-1ii−i−iii−i−iii−i−iii−i−i-11-11−ii−ii-11-11−ii−ii1-11-111-1-111-1-1ii−i−iii−i−i-11-11−ii−ii-11-11−ii−ii
χ211-111-1-11-1−ii−ii1111-1-111-1-1-1-111-1-1−i−iii−i−iii−i−iii−i−iii1-11-1−ii−ii1-11-1−ii−ii1-11-111-1-111-1-1−i−iii−i−iii1-11-1−ii−ii1-11-1−ii−ii
χ221-111-1-11-1−ii−ii1111-1-111-1-1-1-111-1-1−i−iii−i−iii−i−iii−i−iii1-11-1−ii−ii-11-11i−ii−i1-11-1-1-111-1-111ii−i−iii−i−i1-11-1−ii−ii-11-11i−ii−i
χ231-111-1-11-1−ii−ii1111-1-111-1-1-1-111-1-1−i−iii−i−iii−i−iii−i−iii-11-11i−ii−i1-11-1−ii−ii1-11-1-1-111-1-111ii−i−iii−i−i-11-11i−ii−i1-11-1−ii−ii
χ241-111-1-11-1−ii−ii1111-1-111-1-1-1-111-1-1−i−iii−i−iii−i−iii−i−iii-11-11i−ii−i-11-11i−ii−i1-11-111-1-111-1-1−i−iii−i−iii-11-11i−ii−i-11-11i−ii−i
χ251-1-1-1111-1i−i−ii1111-1-1-1-111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiii−i−ii-111-1i−i−ii-111-1-111-111-1-1-1-111ii−i−i−i−iiii−i−ii-111-1i−i−ii-111-1
χ261-1-1-1111-1i−i−ii1111-1-1-1-111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiii−i−ii-111-1−iii−i1-1-11-111-1-1-11111-1-1−i−iiiii−i−ii−i−ii-111-1−iii−i1-1-11
χ271-1-1-1111-1i−i−ii1111-1-1-1-111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii−iii−i1-1-11i−i−ii-111-1-111-1-1-11111-1-1−i−iiiii−i−i−iii−i1-1-11i−i−ii-111-1
χ281-1-1-1111-1i−i−ii1111-1-1-1-111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii−iii−i1-1-11−iii−i1-1-11-111-111-1-1-1-111ii−i−i−i−iii−iii−i1-1-11−iii−i1-1-11
χ291-1-1-1111-1−iii−i1111-1-1-1-111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−ii−i−ii1-1-11i−i−ii1-1-11-111-111-1-1-1-111−i−iiiii−i−ii−i−ii1-1-11i−i−ii1-1-11
χ301-1-1-1111-1−iii−i1111-1-1-1-111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−ii−i−ii1-1-11−iii−i-111-1-111-1-1-11111-1-1ii−i−i−i−iiii−i−ii1-1-11−iii−i-111-1
χ311-1-1-1111-1−iii−i1111-1-1-1-111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−iii−i-111-1i−i−ii1-1-11-111-1-1-11111-1-1ii−i−i−i−iii−iii−i-111-1i−i−ii1-1-11
χ321-1-1-1111-1−iii−i1111-1-1-1-111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−iii−i-111-1−iii−i-111-1-111-111-1-1-1-111−i−iiiii−i−i−iii−i-111-1−iii−i-111-1
χ33222222222222222222222222222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-200000000000000000000000000000000
χ3422222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2222222220000000000000000-2-2-2-200000000000000000000000000000000
χ35222-22-2-2-2000022-2-2-2-22-22-2222-22-2000000002i−2i2i−2i2i−2i2i−2i00000000000000000000i2−i2i2−i2i2−i2i2−i22−22−22−22−20000000000000000
χ36222-22-2-2-2000022-2-2-2-22-22-2222-22-2000000002i−2i2i−2i2i−2i2i−2i00000000000000000000−i2i2−i2i2−i2i2−i2i2−22−22−22−220000000000000000
χ37222-22-2-2-2000022-2-2-2-22-22-2222-22-200000000−2i2i−2i2i−2i2i−2i2i00000000000000000000i2−i2i2−i2i2−i2i2−i2−22−22−22−220000000000000000
χ38222-22-2-2-2000022-2-2-2-22-22-2222-22-200000000−2i2i−2i2i−2i2i−2i2i00000000000000000000−i2i2−i2i2−i2i2−i2i22−22−22−22−20000000000000000
χ3922-22-22-2-2000022-2-2-2-2-22-2222-22-22000000002i−2i2i−2i−2i2i−2i2i00000000000000000000i2−i2i2−i2−i2i2−i2i22−22−2−22−220000000000000000
χ4022-22-22-2-2000022-2-2-2-2-22-2222-22-22000000002i−2i2i−2i−2i2i−2i2i00000000000000000000−i2i2−i2i2i2−i2i2−i2−22−222−22−20000000000000000
χ4122-22-22-2-2000022-2-2-2-2-22-2222-22-2200000000−2i2i−2i2i2i−2i2i−2i00000000000000000000i2−i2i2−i2−i2i2−i2i2−22−222−22−20000000000000000
χ4222-22-22-2-2000022-2-2-2-2-22-2222-22-2200000000−2i2i−2i2i2i−2i2i−2i00000000000000000000−i2i2−i2i2i2−i2i2−i22−22−2−22−220000000000000000
χ4322-2-2-2-22222-2-2222222-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222000000000000000022-2-200000000000000000000000000000000
χ4422-2-2-2-222-2-222222222-2-2-2-222-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000000022-2-200000000000000000000000000000000
χ452-222-2-22-22i−2i2i−2i2222-2-222-2-2-2-222-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000-22-2200000000000000000000000000000000
χ462-222-2-22-2−2i2i−2i2i2222-2-222-2-2-2-222-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000-22-2200000000000000000000000000000000
χ472-22-2-22-22000022-2-2222-2-22-2-22-2-22000000002-2-222-2-2200000000000000000000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i20000000000000000
χ482-22-2-22-22000022-2-2222-2-22-2-22-2-22000000002-2-222-2-2200000000000000000000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i20000000000000000
χ492-22-2-22-22000022-2-2222-2-22-2-22-2-2200000000-222-2-222-200000000000000000000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000000000000000
χ502-22-2-22-22000022-2-2222-2-22-2-22-2-2200000000-222-2-222-200000000000000000000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000000000000000
χ512-2-222-2-22000022-2-222-222-2-2-2-222-2000000002-2-22-222-200000000000000000000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ522-2-222-2-22000022-2-222-222-2-2-2-222-2000000002-2-22-222-200000000000000000000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ532-2-222-2-22000022-2-222-222-2-2-2-222-200000000-222-22-2-2200000000000000000000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ542-2-222-2-22000022-2-222-222-2-2-2-222-200000000-222-22-2-2200000000000000000000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ552-2-2-2222-22i−2i−2i2i2222-2-2-2-222-2-2-2-2222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i00000000000000002-2-2200000000000000000000000000000000
χ562-2-2-2222-2−2i2i2i−2i2222-2-2-2-222-2-2-2-222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i00000000000000002-2-2200000000000000000000000000000000
χ574444444444441-21-21-21-2-211-2-211-21-21-21-21-20000000000000000222222220000000000000000000000000000-1-1-1-1-1-1-1-1
χ584444444444441-21-21-21-2-211-2-211-21-21-21-21-20000000000000000-2-2-2-2-2-2-2-2000000000000000000000000000011111111
χ59444444444444-21-21-21-211-2-211-2-21-21-21-21-2100000000222222220000000000000000000000000000-1-1-1-1-1-1-1-100000000
χ60444444444444-21-21-21-211-2-211-2-21-21-21-21-2100000000-2-2-2-2-2-2-2-200000000000000000000000000001111111100000000
χ6144444444-4-4-4-41-21-21-21-2-211-2-211-2-12-12-12-1200000000000000002222-2-2-2-20000000000000000000000000000-1-1-1-11111
χ6244444444-4-4-4-41-21-21-21-2-211-2-211-2-12-12-12-120000000000000000-2-2-2-2222200000000000000000000000000001111-1-1-1-1
χ6344444444-4-4-4-4-21-21-21-211-2-211-2-212-12-12-12-1000000002222-2-2-2-20000000000000000000000000000-1-1-1-1111100000000
χ6444444444-4-4-4-4-21-21-21-211-2-211-2-212-12-12-12-100000000-2-2-2-2222200000000000000000000000000001111-1-1-1-100000000
χ6544-4-4-4-44444-4-41-21-21-2-122-11-22-1-121-21-2-12-1200000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000−i−iii−i−iii
χ6644-4-4-4-44444-4-41-21-21-2-122-11-22-1-121-21-2-12-120000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000ii−i−iii−i−i
χ6744-4-4-4-44444-4-4-21-21-212-1-12-21-122-1-21-212-12-1000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000−i−iii−i−iii00000000
χ6844-4-4-4-44444-4-4-21-21-212-1-12-21-122-1-21-212-12-100000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000ii−i−iii−i−i00000000
χ6944-4-4-4-444-4-4441-21-21-2-122-11-22-1-12-12-121-21-200000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000−i−iiiii−i−i
χ7044-4-4-4-444-4-4441-21-21-2-122-11-22-1-12-12-121-21-20000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000ii−i−i−i−iii
χ7144-4-4-4-444-4-444-21-21-212-1-12-21-122-12-12-1-21-21000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000−i−iiiii−i−i00000000
χ7244-4-4-4-444-4-444-21-21-212-1-12-21-122-12-12-1-21-2100000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000ii−i−i−i−iii00000000
χ734-444-4-44-44i−4i4i−4i1-21-2-121-22-1-12-21-12i−2i−i2ii−2i−i2i00000000000000002-22-22i−2i2i−2i0000000000000000000000000000-11-11−ii−ii
χ744-444-4-44-44i−4i4i−4i1-21-2-121-22-1-12-21-12i−2i−i2ii−2i−i2i0000000000000000-22-22−2i2i−2i2i00000000000000000000000000001-11-1i−ii−i
χ754-444-4-44-44i−4i4i−4i-21-212-1-21-122-11-22-1−2ii2i−i−2ii2i−i000000002-22-22i−2i2i−2i0000000000000000000000000000-11-11−ii−ii00000000
χ764-444-4-44-44i−4i4i−4i-21-212-1-21-122-11-22-1−2ii2i−i−2ii2i−i00000000-22-22−2i2i−2i2i00000000000000000000000000001-11-1i−ii−i00000000
χ774-444-4-44-4−4i4i−4i4i1-21-2-121-22-1-12-21-12−i2ii−2i−i2ii−2i00000000000000002-22-2−2i2i−2i2i0000000000000000000000000000-11-11i−ii−i
χ784-444-4-44-4−4i4i−4i4i1-21-2-121-22-1-12-21-12−i2ii−2i−i2ii−2i0000000000000000-22-222i−2i2i−2i00000000000000000000000000001-11-1−ii−ii
χ794-444-4-44-4−4i4i−4i4i-21-212-1-21-122-11-22-12i−i−2ii2i−i−2ii000000002-22-2−2i2i−2i2i0000000000000000000000000000-11-11i−ii−i00000000
χ804-444-4-44-4−4i4i−4i4i-21-212-1-21-122-11-22-12i−i−2ii2i−i−2ii00000000-22-222i−2i2i−2i00000000000000000000000000001-11-1−ii−ii00000000
χ814-4-4-4444-44i−4i−4i4i1-21-2-12-12-21-122-11-2i−2i−i2i−i2ii−2i00000000000000002i−2i−2i2i-222-20000000000000000000000000000−iii−i1-1-11
χ824-4-4-4444-44i−4i−4i4i1-21-2-12-12-21-122-11-2i−2i−i2i−i2ii−2i0000000000000000−2i2i2i−2i2-2-220000000000000000000000000000i−i−ii-111-1
χ834-4-4-4444-44i−4i−4i4i-21-212-12-11-22-1-12-21−2ii2i−i2i−i−2ii000000002i−2i−2i2i-222-20000000000000000000000000000−iii−i1-1-1100000000
χ844-4-4-4444-44i−4i−4i4i-21-212-12-11-22-1-12-21−2ii2i−i2i−i−2ii00000000−2i2i2i−2i2-2-220000000000000000000000000000i−i−ii-111-100000000
χ854-4-4-4444-4−4i4i4i−4i1-21-2-12-12-21-122-11-2−i2ii−2ii−2i−i2i00000000000000002i−2i−2i2i2-2-220000000000000000000000000000−iii−i-111-1
χ864-4-4-4444-4−4i4i4i−4i1-21-2-12-12-21-122-11-2−i2ii−2ii−2i−i2i0000000000000000−2i2i2i−2i-222-20000000000000000000000000000i−i−ii1-1-11
χ874-4-4-4444-4−4i4i4i−4i-21-212-12-11-22-1-12-212i−i−2ii−2ii2i−i000000002i−2i−2i2i2-2-220000000000000000000000000000−iii−i-111-100000000
χ884-4-4-4444-4−4i4i4i−4i-21-212-12-11-22-1-12-212i−i−2ii−2ii2i−i00000000−2i2i2i−2i-222-20000000000000000000000000000i−i−ii1-1-1100000000
χ89888-88-8-8-800002-4-24-2424-4-22-4-4-22400000000000000000000000000000000000000000000000000000000000000000000
χ90888-88-8-8-80000-424-24-2-4-224-4224-4-200000000000000000000000000000000000000000000000000000000000000000000
χ9188-88-88-8-800002-4-24-24-2-4422-442-2-400000000000000000000000000000000000000000000000000000000000000000000
χ9288-88-88-8-80000-424-24-242-2-4-42-2-44200000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-88-8800002-4-242-42442-24-4-2-2-400000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8-88-880000-424-2-42-4-2-2-44-2244200000000000000000000000000000000000000000000000000000000000000000000
χ958-8-888-8-8800002-4-242-4-2-4-4-2-24422400000000000000000000000000000000000000000000000000000000000000000000
χ968-8-888-8-880000-424-2-4242244-2-2-4-4-200000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).