Finite Group Databasebeta

← Group #10801359

Character table — Group #10801359

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111122222244444444446688888121212121224111122222244444444446688888121212121224111122222244444444446688888121212121224111122222244444444446688888121212121224
order1222344666228812122424242444266664448824444124412121244881212242424244441212121244488422226446662288121224242424442666644488244441244121212448812122424242444412121212444884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-111111-1-1-1-1-1-111111111111111111111-1-111111-1-1-1-1-1-111111111111111111111-1-111111-1-1-1-1-1-111111111111111111111-1-111111-1-1-1-1-1-1
χ3111111111111-1-111-1-1-1-111-111-1-1111-1-1-1111111111111-1-111-1-1-1-111-111-1-1111-1-1-1111111111111-1-111-1-1-1-111-111-1-1111-1-1-1111111111111-1-111-1-1-1-111-111-1-1111-1-1-1
χ4111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111
χ51111111111-1-11111111111-1-1-1-1-11-1-111-11111111111-1-11111111111-1-1-1-1-11-1-111-11111111111-1-11111111111-1-1-1-1-11-1-111-11111111111-1-11111111111-1-1-1-1-11-1-111-1
χ61111111111-1-111111111-1-1-1-1-1-1-1-111-1-111111111111-1-111111111-1-1-1-1-1-1-1-111-1-111111111111-1-111111111-1-1-1-1-1-1-1-111-1-111111111111-1-111111111-1-1-1-1-1-1-1-111-1-11
χ71111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-111111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-111111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-111111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-11
χ81111111111-1-1-1-111-1-1-1-1-1-11-1-111-11111-11111111111-1-1-1-111-1-1-1-1-1-11-1-111-11111-11111111111-1-1-1-111-1-1-1-1-1-11-1-111-11111-11111111111-1-1-1-111-1-1-1-1-1-11-1-111-11111-1
χ922222-2-22220000-2-200002200000-20000022222-2-22220000-2-200002200000-20000022222-2-22220000-2-200002200000-20000022222-2-22220000-2-200002200000-200000
χ1022222-2-22220000-2-20000-2-20000020000022222-2-22220000-2-20000-2-20000020000022222-2-22220000-2-20000-2-20000020000022222-2-22220000-2-20000-2-200000200000
χ112222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-10000002222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-10000002222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-10000002222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-1000000
χ122222-122-1-1-122-2-2-1-1111100-2-1-1110000002222-122-1-1-122-2-2-1-1111100-2-1-1110000002222-122-1-1-122-2-2-1-1111100-2-1-1110000002222-122-1-1-122-2-2-1-1111100-2-1-111000000
χ132222-122-1-1-1-2-222-1-1-1-1-1-100-211110000002222-122-1-1-1-2-222-1-1-1-1-1-100-211110000002222-122-1-1-1-2-222-1-1-1-1-1-100-211110000002222-122-1-1-1-2-222-1-1-1-1-1-100-21111000000
χ142222-122-1-1-1-2-2-2-2-1-1111100211-1-10000002222-122-1-1-1-2-2-2-2-1-1111100211-1-10000002222-122-1-1-1-2-2-2-2-1-1111100211-1-10000002222-122-1-1-1-2-2-2-2-1-1111100211-1-1000000
χ1522-2-222-2-2-2200002-20000000000002i−2i00022-2-222-2-2-2200002-20000000000002i−2i00022-2-222-2-2-2200002-20000000000002i−2i00022-2-222-2-2-2200002-20000000000002i−2i000
χ1622-2-222-2-2-2200002-2000000000000−2i2i00022-2-222-2-2-2200002-2000000000000−2i2i00022-2-222-2-2-2200002-2000000000000−2i2i00022-2-222-2-2-2200002-2000000000000−2i2i000
χ1722-2-22-22-2-222-200-2200000002-20000000022-2-22-22-2-222-200-2200000002-20000000022-2-22-22-2-222-200-2200000002-20000000022-2-22-22-2-222-200-2200000002-200000000
χ1822-2-22-22-2-22-2200-220000000-220000000022-2-22-22-2-22-2200-220000000-220000000022-2-22-22-2-22-2200-220000000-220000000022-2-22-22-2-22-2200-220000000-2200000000
χ1922-2-2-1-2211-12-2001-1−i3−i3i3i3000-11−i3i300000022-2-2-1-2211-12-2001-1−i3−i3i3i3000-11−i3i300000022-2-2-1-2211-12-2001-1−i3−i3i3i3000-11−i3i300000022-2-2-1-2211-12-2001-1−i3−i3i3i3000-11−i3i3000000
χ2022-2-2-1-2211-12-2001-1i3i3−i3−i3000-11i3−i300000022-2-2-1-2211-12-2001-1i3i3−i3−i3000-11i3−i300000022-2-2-1-2211-12-2001-1i3i3−i3−i3000-11i3−i300000022-2-2-1-2211-12-2001-1i3i3−i3−i3000-11i3−i3000000
χ2122-2-2-1-2211-1-22001-1−i3−i3i3i30001-1i3−i300000022-2-2-1-2211-1-22001-1−i3−i3i3i30001-1i3−i300000022-2-2-1-2211-1-22001-1−i3−i3i3i30001-1i3−i300000022-2-2-1-2211-1-22001-1−i3−i3i3i30001-1i3−i3000000
χ2222-2-2-1-2211-1-22001-1i3i3−i3−i30001-1−i3i300000022-2-2-1-2211-1-22001-1i3i3−i3−i30001-1−i3i300000022-2-2-1-2211-1-22001-1i3i3−i3−i30001-1−i3i300000022-2-2-1-2211-1-22001-1i3i3−i3−i30001-1−i3i3000000
χ232-2-222002-2-2002−2002−22−22-2000000002−202-2-222002-2-2002−2002−22−22-2000000002−202-2-222002-2-2002−2002−22−22-2000000002−202-2-222002-2-2002−2002−22−22-2000000002−20
χ242-2-222002-2-2002−2002−22−2-2200000000−2202-2-222002-2-2002−2002−22−2-2200000000−2202-2-222002-2-2002−2002−22−2-2200000000−2202-2-222002-2-2002−2002−22−2-2200000000−220
χ252-2-222002-2-200−2200−22−222-200000000−2202-2-222002-2-200−2200−22−222-200000000−2202-2-222002-2-200−2200−22−222-200000000−2202-2-222002-2-200−2200−22−222-200000000−220
χ262-2-222002-2-200−2200−22−22-22000000002−202-2-222002-2-200−2200−22−22-22000000002−202-2-222002-2-200−2200−22−22-22000000002−202-2-222002-2-200−2200−22−22-22000000002−20
χ274444-2-4-4-2-2-2000022000000000000000004444-2-4-4-2-2-2000022000000000000000004444-2-4-4-2-2-2000022000000000000000004444-2-4-4-2-2-200002200000000000000000
χ2844-4-4-24-422-20000-220000000000000000044-4-4-24-422-20000-220000000000000000044-4-4-24-422-20000-220000000000000000044-4-4-24-422-20000-2200000000000000000
χ294-44-4400-44-4000000000000000000000004-44-4400-44-4000000000000000000000004-44-4400-44-4000000000000000000000004-44-4400-44-400000000000000000000000
χ304-44-4-2002-22000000i6−i6−i6i600000000000004-44-4-2002-22000000i6−i6−i6i600000000000004-44-4-2002-22000000i6−i6−i6i600000000000004-44-4-2002-22000000i6−i6−i6i60000000000000
χ314-44-4-2002-22000000−i6i6i6−i600000000000004-44-4-2002-22000000−i6i6i6−i600000000000004-44-4-2002-22000000−i6i6i6−i600000000000004-44-4-2002-22000000−i6i6i6−i60000000000000
χ324-4-44-200-2220022−2200−22−2200000000000004-4-44-200-2220022−2200−22−2200000000000004-4-44-200-2220022−2200−22−2200000000000004-4-44-200-2220022−2200−22−220000000000000
χ334-4-44-200-22200−2222002−22−200000000000004-4-44-200-22200−2222002−22−200000000000004-4-44-200-22200−2222002−22−200000000000004-4-44-200-22200−2222002−22−20000000000000
χ34111111111111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ3511111111111111111111-1-111111-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiii−i−iiiiii−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−i−i−i−iiiiiii
χ36111111111111-1-111-1-1-1-111-111-1-1111-1-1-1iiiiiiiiiiii−i−iii−i−i−i−iii−iii−i−iiii−i−i−i-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-1-111-1-1-1111−i−i−i−i−i−i−i−i−i−i−i−iii−i−iiiii−i−ii−i−iii−i−i−iiii
χ37111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111iiiiiiiiiiii−i−iii−i−i−i−i−i−i−iii−i−i−i−i−iiii-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-111111-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iii−i−iiiiiiii−i−iiiiii−i−i−i
χ381111111111-1-11111111111-1-1-1-1-11-1-111-1iiiiiiiiii−i−iiiiiiiiiii−i−i−i−i−ii−i−iii−i-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-111-1-11−i−i−i−i−i−i−i−i−i−iii−i−i−i−i−i−i−i−i−i−iiiiii−iii−i−ii
χ391111111111-1-111111111-1-1-1-1-1-1-1-111-1-11iiiiiiiiii−i−iiiiiiiii−i−i−i−i−i−i−i−iii−i−ii-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1−i−i−i−i−i−i−i−i−i−iii−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i
χ401111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-11iiiiiiiiii−i−i−i−iii−i−i−i−iiii−i−iiii−i−i−i−ii-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-1-11111-1−i−i−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i−iii−i−i−iiiii−i
χ411111111111-1-1-1-111-1-1-1-1-1-11-1-111-11111-1iiiiiiiiii−i−i−i−iii−i−i−i−i−i−ii−i−iii−iiiii−i-1-1-1-1-1-1-1-1-1-11111-1-1111111-111-1-11-1-1-1-11−i−i−i−i−i−i−i−i−i−iiiii−i−iiiiiii−iii−i−ii−i−i−i−ii
χ4222222-2-22220000-2-200002200000-2000002i2i2i2i2i−2i−2i2i2i2i0000−2i−2i00002i2i00000−2i00000-2-2-2-2-222-2-2-20000220000-2-200000200000−2i−2i−2i−2i−2i2i2i−2i−2i−2i00002i2i0000−2i−2i000002i00000
χ4322222-2-22220000-2-20000-2-2000002000002i2i2i2i2i−2i−2i2i2i2i0000−2i−2i0000−2i−2i000002i00000-2-2-2-2-222-2-2-200002200002200000-200000−2i−2i−2i−2i−2i2i2i−2i−2i−2i00002i2i00002i2i00000−2i00000
χ442222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-10000002i2i2i2i−i2i2i−i−i−i2i2i2i2i−i−i−i−i−i−i002i−i−i−i−i000000-2-2-2-21-2-2111-2-2-2-211111100-21111000000−2i−2i−2i−2ii−2i−2iiii−2i−2i−2i−2iiiiiii00−2iiiii000000
χ452222-122-1-1-122-2-2-1-1111100-2-1-1110000002i2i2i2i−i2i2i−i−i−i2i2i−2i−2i−i−iiiii00−2i−i−iii000000-2-2-2-21-2-2111-2-22211-1-1-1-100211-1-1000000−2i−2i−2i−2ii−2i−2iiii−2i−2i2i2iii−i−i−i−i002iii−i−i000000
χ462222-122-1-1-1-2-222-1-1-1-1-1-100-211110000002i2i2i2i−i2i2i−i−i−i−2i−2i2i2i−i−i−i−i−i−i00−2iiiii000000-2-2-2-21-2-211122-2-2111111002-1-1-1-1000000−2i−2i−2i−2ii−2i−2iiii2i2i−2i−2iiiiiii002i−i−i−i−i000000
χ472222-122-1-1-1-2-2-2-2-1-1111100211-1-10000002i2i2i2i−i2i2i−i−i−i−2i−2i−2i−2i−i−iiiii002iii−i−i000000-2-2-2-21-2-2111222211-1-1-1-100-2-1-111000000−2i−2i−2i−2ii−2i−2iiii2i2i2i2iii−i−i−i−i00−2i−i−iii000000
χ4822-2-222-2-2-2200002-20000000000002i−2i0002i2i−2i−2i2i2i−2i−2i−2i2i00002i−2i000000000000-22000-2-222-2-2222-20000-22000000000000−2i2i000−2i−2i2i2i−2i−2i2i2i2i−2i0000−2i2i0000000000002-2000
χ4922-2-222-2-2-2200002-2000000000000−2i2i0002i2i−2i−2i2i2i−2i−2i−2i2i00002i−2i0000000000002-2000-2-222-2-2222-20000-220000000000002i−2i000−2i−2i2i2i−2i−2i2i2i2i−2i0000−2i2i000000000000-22000
χ5022-2-22-22-2-222-200-2200000002-2000000002i2i−2i−2i2i−2i2i−2i−2i2i2i−2i00−2i2i00000002i−2i00000000-2-222-22-222-2-22002-20000000-2200000000−2i−2i2i2i−2i2i−2i2i2i−2i−2i2i002i−2i0000000−2i2i00000000
χ5122-2-22-22-2-22-2200-220000000-22000000002i2i−2i−2i2i−2i2i−2i−2i2i−2i2i00−2i2i0000000−2i2i00000000-2-222-22-222-22-2002-200000002-200000000−2i−2i2i2i−2i2i−2i2i2i−2i2i−2i002i−2i00000002i−2i00000000
χ5222-2-2-1-2211-12-2001-1−i3−i3i3i3000-11−i3i30000002i2i−2i−2i−i−2i2iii−i2i−2i00i−i33−3−3000−ii3−3000000-2-22212-2-1-11-2200-11i3i3−i3−i30001-1i3−i3000000−2i−2i2i2ii2i−2i−i−ii−2i2i00−ii−3−333000i−i−33000000
χ5322-2-2-1-2211-12-2001-1i3i3−i3−i3000-11i3−i30000002i2i−2i−2i−i−2i2iii−i2i−2i00i−i−3−333000−ii−33000000-2-22212-2-1-11-2200-11−i3−i3i3i30001-1−i3i3000000−2i−2i2i2ii2i−2i−i−ii−2i2i00−ii33−3−3000i−i3−3000000
χ5422-2-2-1-2211-1-22001-1−i3−i3i3i30001-1i3−i30000002i2i−2i−2i−i−2i2iii−i−2i2i00i−i33−3−3000i−i−33000000-2-22212-2-1-112-200-11i3i3−i3−i3000-11−i3i3000000−2i−2i2i2ii2i−2i−i−ii2i−2i00−ii−3−333000−ii3−3000000
χ5522-2-2-1-2211-1-22001-1i3i3−i3−i30001-1−i3i30000002i2i−2i−2i−i−2i2iii−i−2i2i00i−i−3−333000i−i3−3000000-2-22212-2-1-112-200-11−i3−i3i3i3000-11i3−i3000000−2i−2i2i2ii2i−2i−i−ii2i−2i00−ii33−3−3000−ii−33000000
χ562-2-222002-2-2002−2002−22−22-2000000002−202i−2i−2i2i2i002i−2i−2i00i2−i200i2−i2i2−i22i−2i00000000i2−i20-222-2-200-22200−2200−22−22-2200000000−220−2i2i2i−2i−2i00−2i2i2i00−i2i200−i2i2−i2i2−2i2i00000000−i2i20
χ572-2-222002-2-2002−2002−22−2-2200000000−2202i−2i−2i2i2i002i−2i−2i00i2−i200i2−i2i2−i2−2i2i00000000−i2i20-222-2-200-22200−2200−22−222-2000000002−20−2i2i2i−2i−2i00−2i2i2i00−i2i200−i2i2−i2i22i−2i00000000i2−i20
χ582-2-222002-2-200−2200−22−222-200000000−2202i−2i−2i2i2i002i−2i−2i00−i2i200−i2i2−i2i22i−2i00000000−i2i20-222-2-200-222002−2002−22−2-22000000002−20−2i2i2i−2i−2i00−2i2i2i00i2−i200i2−i2i2−i2−2i2i00000000i2−i20
χ592-2-222002-2-200−2200−22−22-22000000002−202i−2i−2i2i2i002i−2i−2i00−i2i200−i2i2−i2i2−2i2i00000000i2−i20-222-2-200-222002−2002−22−22-200000000−220−2i2i2i−2i−2i00−2i2i2i00i2−i200i2−i2i2−i22i−2i00000000−i2i20
χ604444-2-4-4-2-2-2000022000000000000000004i4i4i4i−2i−4i−4i−2i−2i−2i00002i2i00000000000000000-4-4-4-42442220000-2-200000000000000000−4i−4i−4i−4i2i4i4i2i2i2i0000−2i−2i00000000000000000
χ6144-4-4-24-422-20000-22000000000000000004i4i−4i−4i−2i4i−4i2i2i−2i0000−2i2i00000000000000000-4-4442-44-2-2200002-200000000000000000−4i−4i4i4i2i−4i4i−2i−2i2i00002i−2i00000000000000000
χ624-44-4400-44-4000000000000000000000004i−4i4i−4i4i00−4i4i−4i00000000000000000000000-44-44-4004-4400000000000000000000000−4i4i−4i4i−4i004i−4i4i00000000000000000000000
χ634-44-4-2002-22000000i6−i6−i6i600000000000004i−4i4i−4i−2i002i−2i2i000000−666−60000000000000-44-44200-22-2000000−i6i6i6−i60000000000000−4i4i−4i4i2i00−2i2i−2i0000006−6−660000000000000
χ644-44-4-2002-22000000−i6i6i6−i600000000000004i−4i4i−4i−2i002i−2i2i0000006−6−660000000000000-44-44200-22-2000000i6−i6−i6i60000000000000−4i4i−4i4i2i00−2i2i−2i000000−666−60000000000000
χ654-4-44-200-2220022−2200−22−2200000000000004i−4i−4i4i−2i00−2i2i2i002i2−2i200−i2i2−i2i20000000000000-444-42002-2-200−2222002−22−20000000000000−4i4i4i−4i2i002i−2i−2i00−2i22i200i2−i2i2−i20000000000000
χ664-4-44-200-22200−2222002−22−200000000000004i−4i−4i4i−2i00−2i2i2i00−2i22i200i2−i2i2−i20000000000000-444-42002-2-20022−2200−22−220000000000000−4i4i4i−4i2i002i−2i−2i002i2−2i200−i2i2−i2i20000000000000
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χ6811111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111
χ69111111111111-1-111-1-1-1-111-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-1-111-1-1-1111111111111111-1-111-1-1-1-111-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-1-111-1-1-1111
χ70111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-111111-1-1-1111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-111111-1-1-1
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χ731111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-1-11111-11111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-1-11111-1
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χ1294-44-4-2002-22000000i6−i6−i6i60000000000000−4i4i−4i4i2i00−2i2i−2i0000006−6−660000000000000-44-44200-22-2000000−i6i6i6−i600000000000004i−4i4i−4i−2i002i−2i2i000000−666−60000000000000
χ1304-44-4-2002-22000000−i6i6i6−i60000000000000−4i4i−4i4i2i00−2i2i−2i000000−666−60000000000000-44-44200-22-2000000i6−i6−i6i600000000000004i−4i4i−4i−2i002i−2i2i0000006−6−660000000000000
χ1314-4-44-200-2220022−2200−22−220000000000000−4i4i4i−4i2i002i−2i−2i00−2i22i200i2−i2i2−i20000000000000-444-42002-2-200−2222002−22−200000000000004i−4i−4i4i−2i00−2i2i2i002i2−2i200−i2i2−i2i20000000000000
χ1324-4-44-200-22200−2222002−22−20000000000000−4i4i4i−4i2i002i−2i−2i002i2−2i200−i2i2−i2i20000000000000-444-42002-2-20022−2200−22−2200000000000004i−4i−4i4i−2i00−2i2i2i00−2i22i200i2−i2i2−i20000000000000

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