Finite Group Databasebeta

← Group #14426115

Character table — Group #14426115

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11112222224444444444668888812121212122422224444448888888888121216161616162424242424482222444444888888888812121616161616242424242448555510101010101020202020202020202020303040404040406060606060120
order12223446664488121224242424444121212124448845101010152020303030202040406060120120120120202020606060602020204040205101010152020303030202040406060120120120120202020606060602020204040202222644666448812122424242444412121212444884
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
χ1522-2-22002-2-2002−20022−2−22-2000000002−2022-2-22002-2-2002−20022−2−22-2000000002−2022-2-22002-2-2002−20022−2−22-2000000002−2022-2-22002-2-2002−20022−2−22-2000000002−20
χ1622-2-22002-2-2002−20022−2−2-2200000000−22022-2-22002-2-2002−20022−2−2-2200000000−22022-2-22002-2-2002−20022−2−2-2200000000−22022-2-22002-2-2002−20022−2−2-2200000000−220
χ1722-2-22002-2-200−2200−2−2222-200000000−22022-2-22002-2-200−2200−2−2222-200000000−22022-2-22002-2-200−2200−2−2222-200000000−22022-2-22002-2-200−2200−2−2222-200000000−220
χ1822-2-22002-2-200−2200−2−222-22000000002−2022-2-22002-2-200−2200−2−222-22000000002−2022-2-22002-2-200−2200−2−222-22000000002−2022-2-22002-2-200−2200−2−222-22000000002−20
χ192-2-2222-2-2-222i−2i002-200000002i−2i000000002-2-2222-2-2-222i−2i002-200000002i−2i000000002-2-2222-2-2-222i−2i002-200000002i−2i000000002-2-2222-2-2-222i−2i002-200000002i−2i00000000
χ202-2-2222-2-2-22−2i2i002-20000000−2i2i000000002-2-2222-2-2-22−2i2i002-20000000−2i2i000000002-2-2222-2-2-22−2i2i002-20000000−2i2i000000002-2-2222-2-2-22−2i2i002-20000000−2i2i00000000
χ212-2-222-22-2-220000-220000000000002-20002-2-222-22-2-220000-220000000000002-20002-2-222-22-2-220000-220000000000002-20002-2-222-22-2-220000-220000000000002-2000
χ222-2-222-22-2-220000-22000000000000-220002-2-222-22-2-220000-22000000000000-220002-2-222-22-2-220000-22000000000000-220002-2-222-22-2-220000-22000000000000-22000
χ232-2-22-12-211-12i−2i00-113−33−3000−ii−i3i30000002-2-22-12-211-12i−2i00-113−33−3000−ii−i3i30000002-2-22-12-211-12i−2i00-113−33−3000−ii−i3i30000002-2-22-12-211-12i−2i00-113−33−3000−ii−i3i3000000
χ242-2-22-12-211-12i−2i00-11−33−33000−iii3−i30000002-2-22-12-211-12i−2i00-11−33−33000−iii3−i30000002-2-22-12-211-12i−2i00-11−33−33000−iii3−i30000002-2-22-12-211-12i−2i00-11−33−33000−iii3−i3000000
χ252-2-22-12-211-1−2i2i00-113−33−3000i−ii3−i30000002-2-22-12-211-1−2i2i00-113−33−3000i−ii3−i30000002-2-22-12-211-1−2i2i00-113−33−3000i−ii3−i30000002-2-22-12-211-1−2i2i00-113−33−3000i−ii3−i3000000
χ262-2-22-12-211-1−2i2i00-11−33−33000i−i−i3i30000002-2-22-12-211-1−2i2i00-11−33−33000i−i−i3i30000002-2-22-12-211-1−2i2i00-11−33−33000i−i−i3i30000002-2-22-12-211-1−2i2i00-11−33−33000i−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
χ304-44-4400-44-4000000000000000000000004-44-4400-44-4000000000000000000000004-44-4400-44-4000000000000000000000004-44-4400-44-400000000000000000000000
χ314-44-4-2002-220000006−6−6600000000000004-44-4-2002-220000006−6−6600000000000004-44-4-2002-220000006−6−6600000000000004-44-4-2002-220000006−6−660000000000000
χ324-44-4-2002-22000000−666−600000000000004-44-4-2002-22000000−666−600000000000004-44-4-2002-22000000−666−600000000000004-44-4-2002-22000000−666−60000000000000
χ334-4-44-2-4422-200002-2000000000000000004-4-44-2-4422-200002-2000000000000000004-4-44-2-4422-200002-2000000000000000004-4-44-2-4422-200002-200000000000000000
χ34111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3511111111111111111111-1-111111-1-1-1-1-1-111111111111111111111-1-111111-1-1-1-1-1-111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111
χ36111111111111-1-111-1-1-1-111-111-1-1111-1-1-1111111111111-1-111-1-1-1-111-111-1-1111-1-1-1111111111111-1-111-1-1-1-111-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-1-111-1-1-1111
χ37111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111-1-111111-1-1-1
χ381111111111-1-11111111111-1-1-1-1-11-1-111-11111111111-1-11111111111-1-1-1-1-11-1-111-11111111111-1-11111111111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-111-1-11
χ391111111111-1-111111111-1-1-1-1-1-1-1-111-1-111111111111-1-111111111-1-1-1-1-1-1-1-111-1-111111111111-1-111111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1
χ401111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-111111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-111111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-1-11111-1
χ411111111111-1-1-1-111-1-1-1-1-1-11-1-111-11111-11111111111-1-1-1-111-1-1-1-1-1-11-1-111-11111-11111111111-1-1-1-111-1-1-1-1-1-11-1-111-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-111-1-11-1-1-1-11
χ4222222-2-22220000-2-200002200000-20000022222-2-22220000-2-200002200000-20000022222-2-22220000-2-200002200000-200000-2-2-2-2-222-2-2-20000220000-2-200000200000
χ4322222-2-22220000-2-20000-2-20000020000022222-2-22220000-2-20000-2-20000020000022222-2-22220000-2-20000-2-200000200000-2-2-2-2-222-2-2-200002200002200000-200000
χ442222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-10000002222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-10000002222-122-1-1-12222-1-1-1-1-1-1002-1-1-1-1000000-2-2-2-21-2-2111-2-2-2-211111100-21111000000
χ452222-122-1-1-122-2-2-1-1111100-2-1-1110000002222-122-1-1-122-2-2-1-1111100-2-1-1110000002222-122-1-1-122-2-2-1-1111100-2-1-111000000-2-2-2-21-2-2111-2-22211-1-1-1-100211-1-1000000
χ462222-122-1-1-1-2-222-1-1-1-1-1-100-211110000002222-122-1-1-1-2-222-1-1-1-1-1-100-211110000002222-122-1-1-1-2-222-1-1-1-1-1-100-21111000000-2-2-2-21-2-211122-2-2111111002-1-1-1-1000000
χ472222-122-1-1-1-2-2-2-2-1-1111100211-1-10000002222-122-1-1-1-2-2-2-2-1-1111100211-1-10000002222-122-1-1-1-2-2-2-2-1-1111100211-1-1000000-2-2-2-21-2-2111222211-1-1-1-100-2-1-111000000
χ4822-2-22002-2-2002−20022−2−22-2000000002−2022-2-22002-2-2002−20022−2−22-2000000002−2022-2-22002-2-2002−20022−2−22-2000000002−20-2-222-200-22200−2200−2−222-2200000000−220
χ4922-2-22002-2-2002−20022−2−2-2200000000−22022-2-22002-2-2002−20022−2−2-2200000000−22022-2-22002-2-2002−20022−2−2-2200000000−220-2-222-200-22200−2200−2−2222-2000000002−20
χ5022-2-22002-2-200−2200−2−2222-200000000−22022-2-22002-2-200−2200−2−2222-200000000−22022-2-22002-2-200−2200−2−2222-200000000−220-2-222-200-222002−20022−2−2-22000000002−20
χ5122-2-22002-2-200−2200−2−222-22000000002−2022-2-22002-2-200−2200−2−222-22000000002−2022-2-22002-2-200−2200−2−222-22000000002−20-2-222-200-222002−20022−2−22-200000000−220
χ522-2-2222-2-2-222i−2i002-200000002i−2i000000002-2-2222-2-2-222i−2i002-200000002i−2i000000002-2-2222-2-2-222i−2i002-200000002i−2i00000000-222-2-2-2222-2−2i2i00-220000000−2i2i00000000
χ532-2-2222-2-2-22−2i2i002-20000000−2i2i000000002-2-2222-2-2-22−2i2i002-20000000−2i2i000000002-2-2222-2-2-22−2i2i002-20000000−2i2i00000000-222-2-2-2222-22i−2i00-2200000002i−2i00000000
χ542-2-222-22-2-220000-220000000000002-20002-2-222-22-2-220000-220000000000002-20002-2-222-22-2-220000-220000000000002-2000-222-2-22-222-200002-2000000000000-22000
χ552-2-222-22-2-220000-22000000000000-220002-2-222-22-2-220000-22000000000000-220002-2-222-22-2-220000-22000000000000-22000-222-2-22-222-200002-20000000000002-2000
χ562-2-22-12-211-12i−2i00-113−33−3000−ii−i3i30000002-2-22-12-211-12i−2i00-113−33−3000−ii−i3i30000002-2-22-12-211-12i−2i00-113−33−3000−ii−i3i3000000-222-21-22-1-11−2i2i001-1−33−33000i−ii3−i3000000
χ572-2-22-12-211-12i−2i00-11−33−33000−iii3−i30000002-2-22-12-211-12i−2i00-11−33−33000−iii3−i30000002-2-22-12-211-12i−2i00-11−33−33000−iii3−i3000000-222-21-22-1-11−2i2i001-13−33−3000i−i−i3i3000000
χ582-2-22-12-211-1−2i2i00-113−33−3000i−ii3−i30000002-2-22-12-211-1−2i2i00-113−33−3000i−ii3−i30000002-2-22-12-211-1−2i2i00-113−33−3000i−ii3−i3000000-222-21-22-1-112i−2i001-1−33−33000−ii−i3i3000000
χ592-2-22-12-211-1−2i2i00-11−33−33000i−i−i3i30000002-2-22-12-211-1−2i2i00-11−33−33000i−i−i3i30000002-2-22-12-211-1−2i2i00-11−33−33000i−i−i3i3000000-222-21-22-1-112i−2i001-13−33−3000−iii3−i3000000
χ604444-2-4-4-2-2-2000022000000000000000004444-2-4-4-2-2-2000022000000000000000004444-2-4-4-2-2-200002200000000000000000-4-4-4-42442220000-2-200000000000000000
χ6144-4-4-200-2220022−2200−2−222000000000000044-4-4-200-2220022−2200−2−222000000000000044-4-4-200-2220022−2200−2−2220000000000000-4-4442002-2-200−22220022−2−20000000000000
χ6244-4-4-200-22200−22220022−2−2000000000000044-4-4-200-22200−22220022−2−2000000000000044-4-4-200-22200−22220022−2−20000000000000-4-4442002-2-20022−2200−2−2220000000000000
χ634-44-4400-44-4000000000000000000000004-44-4400-44-4000000000000000000000004-44-4400-44-400000000000000000000000-44-44-4004-4400000000000000000000000
χ644-44-4-2002-220000006−6−6600000000000004-44-4-2002-220000006−6−6600000000000004-44-4-2002-220000006−6−660000000000000-44-44200-22-2000000−666−60000000000000
χ654-44-4-2002-22000000−666−600000000000004-44-4-2002-22000000−666−600000000000004-44-4-2002-22000000−666−60000000000000-44-44200-22-20000006−6−660000000000000
χ664-4-44-2-4422-200002-2000000000000000004-4-44-2-4422-200002-2000000000000000004-4-44-2-4422-200002-200000000000000000-444-424-4-2-220000-2200000000000000000
χ67222222222222222222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52000000000000000000000000000000000
χ6822222222222222222222-2-222222-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52000000000000000000000000000000000
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χ12888-8-8-400-44400−4242002222−22−220000000000000−2−25−2−252+252+251+5001+5−1−5−1−5002ζ7−2ζ13+2ζ23−2ζ37+2ζ47−2ζ53−2ζ77+2ζ103−2ζ7+2ζ13−2ζ23+2ζ37−2ζ47+2ζ53+2ζ77−2ζ10300−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103−ζ7+ζ13−ζ23+ζ37−ζ47+ζ53+ζ77−ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ103ζ7−ζ13+ζ23−ζ37+ζ47−ζ53−ζ77+ζ1030000000000000−2+25−2+252−252−251−5001−5−1+5−1+500−2ζ29+2ζ31−2ζ61+2ζ71+2ζ79−2ζ101−2ζ109+2ζ1192ζ29−2ζ31+2ζ61−2ζ71−2ζ79+2ζ101+2ζ109−2ζ11900ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119ζ29−ζ31+ζ61−ζ71−ζ79+ζ101+ζ109−ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ119−ζ29+ζ31−ζ61+ζ71+ζ79−ζ101−ζ109+ζ1190000000000000000000000000000000000000000000000
χ1298-88-8800-88-800000000000000000000000−2−252+25−2−252+25−2−25002+25−2−252+2500000000000000000000000−2+252−25−2+252−25−2+25002−25−2+252−2500000000000000000000000000000000000000000000000000000000
χ1308-88-8-4004-4400000026−26−26260000000000000−2−252+25−2−252+251+500−1−51+5−1−5000000−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ103ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ103ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ103−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ1030000000000000−2+252−25−2+252−251−500−1+51−5−1+5000000ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ1190000000000000000000000000000000000000000000000
χ1318-88-8-4004-44000000−262626−260000000000000−2−252+25−2−252+251+500−1−51+5−1−5000000ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ103−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ103−ζ7−ζ13+ζ23−ζ37+ζ47+ζ53+ζ77−ζ103ζ7+ζ13−ζ23+ζ37−ζ47−ζ53−ζ77+ζ1030000000000000−2+252−25−2+252−251−500−1+51−5−1+5000000−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ119ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119ζ29−ζ31−ζ61+ζ71−ζ79+ζ101−ζ109+ζ119−ζ29+ζ31+ζ61−ζ71+ζ79−ζ101+ζ109−ζ1190000000000000000000000000000000000000000000000
χ1328-8-88-4-8844-400004-400000000000000000−2−252+252+25−2−251+52+25−2−25−1−5−1−51+50000−1−51+500000000000000000−2+252−252−25−2+251−52−25−2+25−1+5−1+51−50000−1+51−500000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.