Finite Group Databasebeta

← Group #10801413

Character table — Group #10801413

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111122222244444444446688888121212121224111122222244444444446688888121212121224111122222244444444446688888121212121224111122222244444444446688888121212121224
order122234466644881212242424244441212121222488244441244121212448812122424242444412121212444884222264466644881212242424244441212121222488244441244121212448812122424242444412121212444884
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
χ51111111111-1-11111111111-1-1-1-1-1-1-1111-11111111111-1-11111111111-1-1-1-1-1-1-1111-11111111111-1-11111111111-1-1-1-1-1-1-1111-11111111111-1-11111111111-1-1-1-1-1-1-1111-1
χ61111111111-1-111111111-1-1-1-1-1-1-111-1-1-111111111111-1-111111111-1-1-1-1-1-1-111-1-1-111111111111-1-111111111-1-1-1-1-1-1-111-1-1-111111111111-1-111111111-1-1-1-1-1-1-111-1-1-11
χ71111111111-1-1-1-111-1-1-1-1111-1-111-1-11-1-111111111111-1-1-1-111-1-1-1-1111-1-111-1-11-1-111111111111-1-1-1-111-1-1-1-1111-1-111-1-11-1-111111111111-1-1-1-111-1-1-1-1111-1-111-1-11-1-11
χ81111111111-1-1-1-111-1-1-1-1-1-11-1-11111-111-11111111111-1-1-1-111-1-1-1-1-1-11-1-11111-111-11111111111-1-1-1-111-1-1-1-1-1-11-1-11111-111-11111111111-1-1-1-111-1-1-1-1-1-11-1-11111-111-1
χ922222-2-22220000-2-20000220000000-200022222-2-22220000-2-20000220000000-200022222-2-22220000-2-20000220000000-200022222-2-22220000-2-20000220000000-2000
χ1022222-2-22220000-2-20000-2-20000000200022222-2-22220000-2-20000-2-20000000200022222-2-22220000-2-20000-2-20000000200022222-2-22220000-2-20000-2-200000002000
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
χ1522-2-22002-2-2002−20022−2−22i−2i00000000−i2i2022-2-22002-2-2002−20022−2−22i−2i00000000−i2i2022-2-22002-2-2002−20022−2−22i−2i00000000−i2i2022-2-22002-2-2002−20022−2−22i−2i00000000−i2i20
χ1622-2-22002-2-2002−20022−2−2−2i2i00000000i2−i2022-2-22002-2-2002−20022−2−2−2i2i00000000i2−i2022-2-22002-2-2002−20022−2−2−2i2i00000000i2−i2022-2-22002-2-2002−20022−2−2−2i2i00000000i2−i20
χ1722-2-22002-2-200−2200−2−2222i−2i00000000i2−i2022-2-22002-2-200−2200−2−2222i−2i00000000i2−i2022-2-22002-2-200−2200−2−2222i−2i00000000i2−i2022-2-22002-2-200−2200−2−2222i−2i00000000i2−i20
χ1822-2-22002-2-200−2200−2−222−2i2i00000000−i2i2022-2-22002-2-200−2200−2−222−2i2i00000000−i2i2022-2-22002-2-200−2200−2−222−2i2i00000000−i2i2022-2-22002-2-200−2200−2−222−2i2i00000000−i2i20
χ192-22-222-2-2-222i−2i002-200000002i−2i000000002-22-222-2-2-222i−2i002-200000002i−2i000000002-22-222-2-2-222i−2i002-200000002i−2i000000002-22-222-2-2-222i−2i002-200000002i−2i00000000
χ202-22-222-2-2-22−2i2i002-20000000−2i2i000000002-22-222-2-2-22−2i2i002-20000000−2i2i000000002-22-222-2-2-22−2i2i002-20000000−2i2i000000002-22-222-2-2-22−2i2i002-20000000−2i2i00000000
χ212-22-22-22-2-220000-22000000000002-200002-22-22-22-2-220000-22000000000002-200002-22-22-22-2-220000-22000000000002-200002-22-22-22-2-220000-22000000000002-20000
χ222-22-22-22-2-220000-2200000000000-2200002-22-22-22-2-220000-2200000000000-2200002-22-22-22-2-220000-2200000000000-2200002-22-22-22-2-220000-2200000000000-220000
χ232-22-2-12-211-12i−2i00-113−33−3000−ii−i3i30000002-22-2-12-211-12i−2i00-113−33−3000−ii−i3i30000002-22-2-12-211-12i−2i00-113−33−3000−ii−i3i30000002-22-2-12-211-12i−2i00-113−33−3000−ii−i3i3000000
χ242-22-2-12-211-12i−2i00-11−33−33000−iii3−i30000002-22-2-12-211-12i−2i00-11−33−33000−iii3−i30000002-22-2-12-211-12i−2i00-11−33−33000−iii3−i30000002-22-2-12-211-12i−2i00-11−33−33000−iii3−i3000000
χ252-22-2-12-211-1−2i2i00-113−33−3000i−ii3−i30000002-22-2-12-211-1−2i2i00-113−33−3000i−ii3−i30000002-22-2-12-211-1−2i2i00-113−33−3000i−ii3−i30000002-22-2-12-211-1−2i2i00-113−33−3000i−ii3−i3000000
χ262-22-2-12-211-1−2i2i00-11−33−33000i−i−i3i30000002-22-2-12-211-1−2i2i00-11−33−33000i−i−i3i30000002-22-2-12-211-1−2i2i00-11−33−33000i−i−i3i30000002-22-2-12-211-1−2i2i00-11−33−33000i−i−i3i3000000
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
χ2844-4-4-200-2220022−2200−2−222000000000000044-4-4-200-2220022−2200−2−222000000000000044-4-4-200-2220022−2200−2−222000000000000044-4-4-200-2220022−2200−2−2220000000000000
χ2944-4-4-200-22200−22220022−2−2000000000000044-4-4-200-22200−22220022−2−2000000000000044-4-4-200-22200−22220022−2−2000000000000044-4-4-200-22200−22220022−2−20000000000000
χ304-44-4-2-4422-200002-2000000000000000004-44-4-2-4422-200002-2000000000000000004-44-4-2-4422-200002-2000000000000000004-44-4-2-4422-200002-200000000000000000
χ314-4-44400-44-4000000000000000000000004-4-44400-44-4000000000000000000000004-4-44400-44-4000000000000000000000004-4-44400-44-400000000000000000000000
χ324-4-44-2002-220000006−6−6600000000000004-4-44-2002-220000006−6−6600000000000004-4-44-2002-220000006−6−6600000000000004-4-44-2002-220000006−6−660000000000000
χ334-4-44-2002-22000000−666−600000000000004-4-44-2002-22000000−666−600000000000004-4-44-2002-22000000−666−600000000000004-4-44-2002-22000000−666−60000000000000
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
χ381111111111-1-11111111111-1-1-1-1-1-1-1111-1iiiiiiiiii−i−iiiiiiiiiii−i−i−i−i−i−i−iiii−i-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-1-1-11−i−i−i−i−i−i−i−i−i−iii−i−i−i−i−i−i−i−i−i−iiiiiiii−i−i−ii
χ391111111111-1-111111111-1-1-1-1-1-1-111-1-1-11iiiiiiiiii−i−iiiiiiiii−i−i−i−i−i−i−iii−i−i−ii-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1111-1−i−i−i−i−i−i−i−i−i−iii−i−i−i−i−i−i−i−iiiiiiii−i−iiii−i
χ401111111111-1-1-1-111-1-1-1-1111-1-111-1-11-1-11iiiiiiiiii−i−i−i−iii−i−i−i−iiii−i−iii−i−ii−i−ii-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-111-111-1−i−i−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i−iii−i−iii−iii−i
χ411111111111-1-1-1-111-1-1-1-1-1-11-1-11111-111-1iiiiiiiiii−i−i−i−iii−i−i−i−i−i−ii−i−iiiii−iii−i-1-1-1-1-1-1-1-1-1-11111-1-1111111-111-1-1-1-11-1-11−i−i−i−i−i−i−i−i−i−iiiii−i−iiiiiii−iii−i−i−i−ii−i−ii
χ4222222-2-22220000-2-20000220000000-20002i2i2i2i2i−2i−2i2i2i2i0000−2i−2i00002i2i0000000−2i000-2-2-2-2-222-2-2-20000220000-2-200000002000−2i−2i−2i−2i−2i2i2i−2i−2i−2i00002i2i0000−2i−2i00000002i000
χ4322222-2-22220000-2-20000-2-2000000020002i2i2i2i2i−2i−2i2i2i2i0000−2i−2i0000−2i−2i00000002i000-2-2-2-2-222-2-2-20000220000220000000-2000−2i−2i−2i−2i−2i2i2i−2i−2i−2i00002i2i00002i2i0000000−2i000
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
χ4822-2-22002-2-2002−20022−2−22i−2i00000000−i2i202i2i−2i−2i2i002i−2i−2i00i2−i200i2i2−i2−i2-22000000002−20-2-222-200-22200−2200−2−222−2i2i00000000i2−i20−2i−2i2i2i−2i00−2i2i2i00−i2i200−i2−i2i2i22-200000000−220
χ4922-2-22002-2-2002−20022−2−2−2i2i00000000i2−i202i2i−2i−2i2i002i−2i−2i00i2−i200i2i2−i2−i22-200000000−220-2-222-200-22200−2200−2−2222i−2i00000000−i2i20−2i−2i2i2i−2i00−2i2i2i00−i2i200−i2−i2i2i2-22000000002−20
χ5022-2-22002-2-200−2200−2−2222i−2i00000000i2−i202i2i−2i−2i2i002i−2i−2i00−i2i200−i2−i2i2i2-2200000000−220-2-222-200-222002−20022−2−2−2i2i00000000−i2i20−2i−2i2i2i−2i00−2i2i2i00i2−i200i2i2−i2−i22-2000000002−20
χ5122-2-22002-2-200−2200−2−222−2i2i00000000−i2i202i2i−2i−2i2i002i−2i−2i00−i2i200−i2−i2i2i22-2000000002−20-2-222-200-222002−20022−2−22i−2i00000000i2−i20−2i−2i2i2i−2i00−2i2i2i00i2−i200i2i2−i2−i2-2200000000−220
χ522-22-222-2-2-222i−2i002-200000002i−2i000000002i−2i2i−2i2i2i−2i−2i−2i2i-22002i−2i0000000-2200000000-22-22-2-2222-2−2i2i00-220000000−2i2i00000000−2i2i−2i2i−2i−2i2i2i2i−2i2-200−2i2i00000002-200000000
χ532-22-222-2-2-22−2i2i002-20000000−2i2i000000002i−2i2i−2i2i2i−2i−2i−2i2i2-2002i−2i00000002-200000000-22-22-2-2222-22i−2i00-2200000002i−2i00000000−2i2i−2i2i−2i−2i2i2i2i−2i-2200−2i2i0000000-2200000000
χ542-22-22-22-2-220000-22000000000002-200002i−2i2i−2i2i−2i2i−2i−2i2i0000−2i2i000000000002i−2i0000-22-22-22-222-200002-200000000000-220000−2i2i−2i2i−2i2i−2i2i2i−2i00002i−2i00000000000−2i2i0000
χ552-22-22-22-2-220000-2200000000000-2200002i−2i2i−2i2i−2i2i−2i−2i2i0000−2i2i00000000000−2i2i0000-22-22-22-222-200002-2000000000002-20000−2i2i−2i2i−2i2i−2i2i2i−2i00002i−2i000000000002i−2i0000
χ562-22-2-12-211-12i−2i00-113−33−3000−ii−i3i30000002i−2i2i−2i−i2i−2iii−i-2200−iii3−i3i3−i30001-13−3000000-22-221-22-1-11−2i2i001-1−33−33000i−ii3−i3000000−2i2i−2i2ii−2i2i−i−ii2-200i−i−i3i3−i3i3000-11−33000000
χ572-22-2-12-211-12i−2i00-11−33−33000−iii3−i30000002i−2i2i−2i−i2i−2iii−i-2200−ii−i3i3−i3i30001-1−33000000-22-221-22-1-11−2i2i001-13−33−3000i−i−i3i3000000−2i2i−2i2ii−2i2i−i−ii2-200i−ii3−i3i3−i3000-113−3000000
χ582-22-2-12-211-1−2i2i00-113−33−3000i−ii3−i30000002i−2i2i−2i−i2i−2iii−i2-200−iii3−i3i3−i3000-11−33000000-22-221-22-1-112i−2i001-1−33−33000−ii−i3i3000000−2i2i−2i2ii−2i2i−i−ii-2200i−i−i3i3−i3i30001-13−3000000
χ592-22-2-12-211-1−2i2i00-11−33−33000i−i−i3i30000002i−2i2i−2i−i2i−2iii−i2-200−ii−i3i3−i3i3000-113−3000000-22-221-22-1-112i−2i001-13−33−3000−iii3−i3000000−2i2i−2i2ii−2i2i−i−ii-2200i−ii3−i3i3−i30001-1−33000000
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
χ6144-4-4-200-2220022−2200−2−22200000000000004i4i−4i−4i−2i00−2i2i2i002i2−2i200−i2−i2i2i20000000000000-4-4442002-2-200−22220022−2−20000000000000−4i−4i4i4i2i002i−2i−2i00−2i22i200i2i2−i2−i20000000000000
χ6244-4-4-200-22200−22220022−2−200000000000004i4i−4i−4i−2i00−2i2i2i00−2i22i200i2i2−i2−i20000000000000-4-4442002-2-20022−2200−2−2220000000000000−4i−4i4i4i2i002i−2i−2i002i2−2i200−i2−i2i2i20000000000000
χ634-44-4-2-4422-200002-2000000000000000004i−4i4i−4i−2i−4i4i2i2i−2i00002i−2i00000000000000000-44-4424-4-2-220000-2200000000000000000−4i4i−4i4i2i4i−4i−2i−2i2i0000−2i2i00000000000000000
χ644-4-44400-44-4000000000000000000000004i−4i−4i4i4i00−4i4i−4i00000000000000000000000-444-4-4004-4400000000000000000000000−4i4i4i−4i−4i004i−4i4i00000000000000000000000
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χ1304-4-44400-44-400000000000000000000000−4i4i4i−4i−4i004i−4i4i00000000000000000000000-444-4-4004-44000000000000000000000004i−4i−4i4i4i00−4i4i−4i00000000000000000000000
χ1314-4-44-2002-220000006−6−660000000000000−4i4i4i−4i2i00−2i2i−2i000000−i6i6i6−i60000000000000-444-4200-22-2000000−666−600000000000004i−4i−4i4i−2i002i−2i2i000000i6−i6−i6i60000000000000
χ1324-4-44-2002-22000000−666−60000000000000−4i4i4i−4i2i00−2i2i−2i000000i6−i6−i6i60000000000000-444-4200-22-20000006−6−6600000000000004i−4i−4i4i−2i002i−2i2i000000−i6i6i6−i60000000000000

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